meta
stringlengths 493
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25.6k
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int64 0
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stringclasses 1
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stringclasses 1
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listlengths 1
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stringclasses 1
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dict | extra_info
dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"k": "h + 16", "z": "k + 12", "g": "z + 16", "u": "g + 18", "v": "u + 12", "q": "v + 16", "t": "h + 20", "p": "t + 16", "j": "p + 14", "l": "j + 8", "m": "l + 14", "f": "m + 17", "h": 13}, "premises": {"h": 13}, "target": "q"}, "answer": {"steps": [["v", "u + 12", "u + 28"], ["u", "g + 18", "g + 46"], ["g", "z + 16", "z + 62"], ["z", "k + 12", "k + 74"], ["k", "h + 16", "h + 90"], ["h", 13, "103"]], "target_var_name": "q", "target_value": 103, "value_dict": {"h": 13}, "is_reverse": true}}
| 600
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = j + 8; h = 13; v = u + 12; j = p + 14; t = h + 20; g = z + 16; u = g + 18; f = m + 17; k = h + 16; p = t + 16; q = v + 16; z = k + 12; m = l + 14. Given that h = 13, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 103,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = u + 12 to q, which gives q = u + 28.\n2. Substitute u = g + 18 to q, which gives q = g + 46.\n3. Substitute g = z + 16 to q, which gives q = z + 62.\n4. Substitute z = k + 12 to q, which gives q = k + 74.\n5. Substitute k = h + 16 to q, which gives q = h + 90.\n6. Substitute h = 13 to q, which gives q = 103.\n\nThus, the final answer is q = \\boxed{103}.",
"index": 600,
"question": "Suppose a collection of variables is related by the following definitions: l = j + 8; h = 13; v = u + 12; j = p + 14; t = h + 20; g = z + 16; u = g + 18; f = m + 17; k = h + 16; p = t + 16; q = v + 16; z = k + 12; m = l + 14. Given that h = 13, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"q": "f + 14", "d": "q + 8", "l": "d + 13", "w": "l + 3", "r": "w + 8", "y": "r + 8", "m": "f + 16", "h": "m + 7", "a": "h + 15", "p": "a + 19", "v": "p + 18", "b": "v + 9", "f": 10}, "premises": {"f": 10}, "target": "y"}, "answer": {"steps": [["r", "w + 8", "w + 16"], ["w", "l + 3", "l + 19"], ["l", "d + 13", "d + 32"], ["d", "q + 8", "q + 40"], ["q", "f + 14", "f + 54"], ["f", 10, "64"]], "target_var_name": "y", "target_value": 64, "value_dict": {"f": 10}, "is_reverse": true}}
| 601
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = a + 19; a = h + 15; r = w + 8; l = d + 13; y = r + 8; b = v + 9; f = 10; q = f + 14; w = l + 3; v = p + 18; d = q + 8; h = m + 7; m = f + 16. If f = 10, 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 r = w + 8 to y, which gives y = w + 16.\n2. Substitute w = l + 3 to y, which gives y = l + 19.\n3. Substitute l = d + 13 to y, which gives y = d + 32.\n4. Substitute d = q + 8 to y, which gives y = q + 40.\n5. Substitute q = f + 14 to y, which gives y = f + 54.\n6. Substitute f = 10 to y, which gives y = 64.\n\nThus, the final answer is y = \\boxed{64}.",
"index": 601,
"question": "Consider a system of variables where each variable is defined as follows: p = a + 19; a = h + 15; r = w + 8; l = d + 13; y = r + 8; b = v + 9; f = 10; q = f + 14; w = l + 3; v = p + 18; d = q + 8; h = m + 7; m = f + 16. If f = 10, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"c": "f + 17", "l": "c + 3", "p": "l + 4", "s": "p + 6", "k": "s + 20", "q": "k + 13", "w": "f + 12", "m": "w + 4", "a": "m + 3", "x": "a + 2", "d": "x + 2", "z": "d + 20", "f": 11}, "premises": {"f": 11}, "target": "q"}, "answer": {"steps": [["k", "s + 20", "s + 33"], ["s", "p + 6", "p + 39"], ["p", "l + 4", "l + 43"], ["l", "c + 3", "c + 46"], ["c", "f + 17", "f + 63"], ["f", 11, "74"]], "target_var_name": "q", "target_value": 74, "value_dict": {"f": 11}, "is_reverse": true}}
| 602
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = l + 4; d = x + 2; x = a + 2; f = 11; c = f + 17; z = d + 20; a = m + 3; k = s + 20; q = k + 13; s = p + 6; l = c + 3; w = f + 12; m = w + 4. If f = 11, 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 k = s + 20 to q, which gives q = s + 33.\n2. Substitute s = p + 6 to q, which gives q = p + 39.\n3. Substitute p = l + 4 to q, which gives q = l + 43.\n4. Substitute l = c + 3 to q, which gives q = c + 46.\n5. Substitute c = f + 17 to q, which gives q = f + 63.\n6. Substitute f = 11 to q, which gives q = 74.\n\nThus, the final answer is q = \\boxed{74}.",
"index": 602,
"question": "Consider a system of variables where each variable is defined as follows: p = l + 4; d = x + 2; x = a + 2; f = 11; c = f + 17; z = d + 20; a = m + 3; k = s + 20; q = k + 13; s = p + 6; l = c + 3; w = f + 12; m = w + 4. If f = 11, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"s": "u + 12", "g": "s + 2", "t": "g + 20", "q": "t + 10", "x": "q + 18", "l": "x + 2", "n": "u + 2", "w": "n + 13", "i": "w + 14", "a": "i + 12", "v": "a + 20", "e": "v + 3", "u": 6}, "premises": {"u": 6}, "target": "l"}, "answer": {"steps": [["x", "q + 18", "q + 20"], ["q", "t + 10", "t + 30"], ["t", "g + 20", "g + 50"], ["g", "s + 2", "s + 52"], ["s", "u + 12", "u + 64"], ["u", 6, "70"]], "target_var_name": "l", "target_value": 70, "value_dict": {"u": 6}, "is_reverse": true}}
| 603
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = u + 2; s = u + 12; i = w + 14; e = v + 3; u = 6; v = a + 20; w = n + 13; a = i + 12; g = s + 2; l = x + 2; x = q + 18; t = g + 20; q = t + 10. If u = 6, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = q + 18 to l, which gives l = q + 20.\n2. Substitute q = t + 10 to l, which gives l = t + 30.\n3. Substitute t = g + 20 to l, which gives l = g + 50.\n4. Substitute g = s + 2 to l, which gives l = s + 52.\n5. Substitute s = u + 12 to l, which gives l = u + 64.\n6. Substitute u = 6 to l, which gives l = 70.\n\nThus, the final answer is l = \\boxed{70}.",
"index": 603,
"question": "Consider a system of variables where each variable is defined as follows: n = u + 2; s = u + 12; i = w + 14; e = v + 3; u = 6; v = a + 20; w = n + 13; a = i + 12; g = s + 2; l = x + 2; x = q + 18; t = g + 20; q = t + 10. If u = 6, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"p": "g + 3", "m": "p + 18", "k": "m + 8", "q": "k + 13", "j": "q + 2", "w": "j + 4", "l": "g + 13", "z": "l + 6", "r": "z + 1", "s": "r + 19", "d": "s + 16", "o": "d + 18", "g": 8}, "premises": {"g": 8}, "target": "w"}, "answer": {"steps": [["j", "q + 2", "q + 6"], ["q", "k + 13", "k + 19"], ["k", "m + 8", "m + 27"], ["m", "p + 18", "p + 45"], ["p", "g + 3", "g + 48"], ["g", 8, "56"]], "target_var_name": "w", "target_value": 56, "value_dict": {"g": 8}, "is_reverse": true}}
| 604
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = s + 16; z = l + 6; k = m + 8; j = q + 2; w = j + 4; p = g + 3; s = r + 19; l = g + 13; r = z + 1; q = k + 13; g = 8; o = d + 18; m = p + 18. If g = 8, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = q + 2 to w, which gives w = q + 6.\n2. Substitute q = k + 13 to w, which gives w = k + 19.\n3. Substitute k = m + 8 to w, which gives w = m + 27.\n4. Substitute m = p + 18 to w, which gives w = p + 45.\n5. Substitute p = g + 3 to w, which gives w = g + 48.\n6. Substitute g = 8 to w, which gives w = 56.\n\nThus, the final answer is w = \\boxed{56}.",
"index": 604,
"question": "Consider a system of variables where each variable is defined as follows: d = s + 16; z = l + 6; k = m + 8; j = q + 2; w = j + 4; p = g + 3; s = r + 19; l = g + 13; r = z + 1; q = k + 13; g = 8; o = d + 18; m = p + 18. If g = 8, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"a": "q + 13", "h": "a + 12", "r": "h + 14", "g": "r + 19", "z": "g + 2", "w": "z + 3", "v": "q + 5", "c": "v + 12", "y": "c + 2", "x": "y + 3", "p": "x + 17", "l": "p + 20", "q": 8}, "premises": {"q": 8}, "target": "w"}, "answer": {"steps": [["z", "g + 2", "g + 5"], ["g", "r + 19", "r + 24"], ["r", "h + 14", "h + 38"], ["h", "a + 12", "a + 50"], ["a", "q + 13", "q + 63"], ["q", 8, "71"]], "target_var_name": "w", "target_value": 71, "value_dict": {"q": 8}, "is_reverse": true}}
| 605
| 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 = a + 12; g = r + 19; w = z + 3; q = 8; y = c + 2; v = q + 5; p = x + 17; a = q + 13; x = y + 3; l = p + 20; z = g + 2; r = h + 14; c = v + 12. If q = 8, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = g + 2 to w, which gives w = g + 5.\n2. Substitute g = r + 19 to w, which gives w = r + 24.\n3. Substitute r = h + 14 to w, which gives w = h + 38.\n4. Substitute h = a + 12 to w, which gives w = a + 50.\n5. Substitute a = q + 13 to w, which gives w = q + 63.\n6. Substitute q = 8 to w, which gives w = 71.\n\nThus, the final answer is w = \\boxed{71}.",
"index": 605,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = a + 12; g = r + 19; w = z + 3; q = 8; y = c + 2; v = q + 5; p = x + 17; a = q + 13; x = y + 3; l = p + 20; z = g + 2; r = h + 14; c = v + 12. If q = 8, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"x": "k + 16", "i": "x + 10", "c": "i + 16", "n": "c + 12", "l": "n + 7", "j": "l + 6", "o": "k + 5", "e": "o + 9", "w": "e + 4", "a": "w + 16", "d": "a + 7", "r": "d + 16", "k": 17}, "premises": {"k": 17}, "target": "j"}, "answer": {"steps": [["l", "n + 7", "n + 13"], ["n", "c + 12", "c + 25"], ["c", "i + 16", "i + 41"], ["i", "x + 10", "x + 51"], ["x", "k + 16", "k + 67"], ["k", 17, "84"]], "target_var_name": "j", "target_value": 84, "value_dict": {"k": 17}, "is_reverse": true}}
| 606
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = k + 16; k = 17; c = i + 16; l = n + 7; o = k + 5; j = l + 6; e = o + 9; d = a + 7; w = e + 4; a = w + 16; n = c + 12; r = d + 16; i = x + 10. Given that k = 17, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = n + 7 to j, which gives j = n + 13.\n2. Substitute n = c + 12 to j, which gives j = c + 25.\n3. Substitute c = i + 16 to j, which gives j = i + 41.\n4. Substitute i = x + 10 to j, which gives j = x + 51.\n5. Substitute x = k + 16 to j, which gives j = k + 67.\n6. Substitute k = 17 to j, which gives j = 84.\n\nThus, the final answer is j = \\boxed{84}.",
"index": 606,
"question": "Suppose a collection of variables is related by the following definitions: x = k + 16; k = 17; c = i + 16; l = n + 7; o = k + 5; j = l + 6; e = o + 9; d = a + 7; w = e + 4; a = w + 16; n = c + 12; r = d + 16; i = x + 10. Given that k = 17, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"c": "x + 19", "a": "c + 17", "e": "a + 3", "o": "e + 4", "f": "o + 15", "y": "f + 15", "b": "x + 8", "q": "b + 9", "v": "q + 5", "p": "v + 9", "m": "p + 6", "r": "m + 13", "x": 8}, "premises": {"x": 8}, "target": "y"}, "answer": {"steps": [["f", "o + 15", "o + 30"], ["o", "e + 4", "e + 34"], ["e", "a + 3", "a + 37"], ["a", "c + 17", "c + 54"], ["c", "x + 19", "x + 73"], ["x", 8, "81"]], "target_var_name": "y", "target_value": 81, "value_dict": {"x": 8}, "is_reverse": true}}
| 607
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = q + 5; a = c + 17; x = 8; c = x + 19; e = a + 3; r = m + 13; q = b + 9; b = x + 8; o = e + 4; f = o + 15; y = f + 15; p = v + 9; m = p + 6. If x = 8, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = o + 15 to y, which gives y = o + 30.\n2. Substitute o = e + 4 to y, which gives y = e + 34.\n3. Substitute e = a + 3 to y, which gives y = a + 37.\n4. Substitute a = c + 17 to y, which gives y = c + 54.\n5. Substitute c = x + 19 to y, which gives y = x + 73.\n6. Substitute x = 8 to y, which gives y = 81.\n\nThus, the final answer is y = \\boxed{81}.",
"index": 607,
"question": "Consider a system of variables where each variable is defined as follows: v = q + 5; a = c + 17; x = 8; c = x + 19; e = a + 3; r = m + 13; q = b + 9; b = x + 8; o = e + 4; f = o + 15; y = f + 15; p = v + 9; m = p + 6. If x = 8, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"h": "v + 8", "k": "h + 5", "g": "k + 2", "b": "g + 7", "s": "b + 17", "u": "s + 5", "p": "v + 9", "j": "p + 11", "o": "j + 6", "q": "o + 6", "n": "q + 15", "f": "n + 4", "v": 5}, "premises": {"v": 5}, "target": "u"}, "answer": {"steps": [["s", "b + 17", "b + 22"], ["b", "g + 7", "g + 29"], ["g", "k + 2", "k + 31"], ["k", "h + 5", "h + 36"], ["h", "v + 8", "v + 44"], ["v", 5, "49"]], "target_var_name": "u", "target_value": 49, "value_dict": {"v": 5}, "is_reverse": true}}
| 608
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = k + 2; j = p + 11; v = 5; q = o + 6; k = h + 5; b = g + 7; u = s + 5; f = n + 4; n = q + 15; o = j + 6; h = v + 8; p = v + 9; s = b + 17. If v = 5, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = b + 17 to u, which gives u = b + 22.\n2. Substitute b = g + 7 to u, which gives u = g + 29.\n3. Substitute g = k + 2 to u, which gives u = k + 31.\n4. Substitute k = h + 5 to u, which gives u = h + 36.\n5. Substitute h = v + 8 to u, which gives u = v + 44.\n6. Substitute v = 5 to u, which gives u = 49.\n\nThus, the final answer is u = \\boxed{49}.",
"index": 608,
"question": "Consider a system of variables where each variable is defined as follows: g = k + 2; j = p + 11; v = 5; q = o + 6; k = h + 5; b = g + 7; u = s + 5; f = n + 4; n = q + 15; o = j + 6; h = v + 8; p = v + 9; s = b + 17. If v = 5, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"h": "w + 5", "z": "h + 12", "b": "z + 18", "g": "b + 4", "e": "g + 19", "l": "e + 8", "q": "w + 10", "r": "q + 15", "i": "r + 17", "f": "i + 7", "p": "f + 14", "k": "p + 3", "w": 14}, "premises": {"w": 14}, "target": "l"}, "answer": {"steps": [["e", "g + 19", "g + 27"], ["g", "b + 4", "b + 31"], ["b", "z + 18", "z + 49"], ["z", "h + 12", "h + 61"], ["h", "w + 5", "w + 66"], ["w", 14, "80"]], "target_var_name": "l", "target_value": 80, "value_dict": {"w": 14}, "is_reverse": true}}
| 609
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = i + 7; g = b + 4; i = r + 17; l = e + 8; r = q + 15; p = f + 14; k = p + 3; e = g + 19; q = w + 10; b = z + 18; h = w + 5; z = h + 12; w = 14. If w = 14, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = g + 19 to l, which gives l = g + 27.\n2. Substitute g = b + 4 to l, which gives l = b + 31.\n3. Substitute b = z + 18 to l, which gives l = z + 49.\n4. Substitute z = h + 12 to l, which gives l = h + 61.\n5. Substitute h = w + 5 to l, which gives l = w + 66.\n6. Substitute w = 14 to l, which gives l = 80.\n\nThus, the final answer is l = \\boxed{80}.",
"index": 609,
"question": "Consider a system of variables where each variable is defined as follows: f = i + 7; g = b + 4; i = r + 17; l = e + 8; r = q + 15; p = f + 14; k = p + 3; e = g + 19; q = w + 10; b = z + 18; h = w + 5; z = h + 12; w = 14. If w = 14, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"h": "v + 3", "o": "h + 13", "c": "o + 16", "g": "c + 17", "f": "g + 20", "d": "f + 15", "w": "v + 5", "t": "w + 3", "u": "t + 9", "a": "u + 18", "l": "a + 1", "x": "l + 20", "v": 6}, "premises": {"v": 6}, "target": "d"}, "answer": {"steps": [["f", "g + 20", "g + 35"], ["g", "c + 17", "c + 52"], ["c", "o + 16", "o + 68"], ["o", "h + 13", "h + 81"], ["h", "v + 3", "v + 84"], ["v", 6, "90"]], "target_var_name": "d", "target_value": 90, "value_dict": {"v": 6}, "is_reverse": true}}
| 610
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = t + 9; l = a + 1; g = c + 17; o = h + 13; t = w + 3; x = l + 20; c = o + 16; a = u + 18; w = v + 5; h = v + 3; d = f + 15; f = g + 20; v = 6. If v = 6, determine 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 = g + 20 to d, which gives d = g + 35.\n2. Substitute g = c + 17 to d, which gives d = c + 52.\n3. Substitute c = o + 16 to d, which gives d = o + 68.\n4. Substitute o = h + 13 to d, which gives d = h + 81.\n5. Substitute h = v + 3 to d, which gives d = v + 84.\n6. Substitute v = 6 to d, which gives d = 90.\n\nThus, the final answer is d = \\boxed{90}.",
"index": 610,
"question": "Consider a system of variables where each variable is defined as follows: u = t + 9; l = a + 1; g = c + 17; o = h + 13; t = w + 3; x = l + 20; c = o + 16; a = u + 18; w = v + 5; h = v + 3; d = f + 15; f = g + 20; v = 6. If v = 6, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"j": "o + 4", "e": "j + 10", "k": "e + 3", "x": "k + 1", "a": "x + 7", "u": "a + 15", "g": "o + 16", "y": "g + 10", "r": "y + 15", "w": "r + 2", "q": "w + 9", "l": "q + 13", "o": 11}, "premises": {"o": 11}, "target": "u"}, "answer": {"steps": [["a", "x + 7", "x + 22"], ["x", "k + 1", "k + 23"], ["k", "e + 3", "e + 26"], ["e", "j + 10", "j + 36"], ["j", "o + 4", "o + 40"], ["o", 11, "51"]], "target_var_name": "u", "target_value": 51, "value_dict": {"o": 11}, "is_reverse": true}}
| 611
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = a + 15; w = r + 2; k = e + 3; r = y + 15; j = o + 4; a = x + 7; e = j + 10; l = q + 13; y = g + 10; q = w + 9; o = 11; g = o + 16; x = k + 1. Given that o = 11, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = x + 7 to u, which gives u = x + 22.\n2. Substitute x = k + 1 to u, which gives u = k + 23.\n3. Substitute k = e + 3 to u, which gives u = e + 26.\n4. Substitute e = j + 10 to u, which gives u = j + 36.\n5. Substitute j = o + 4 to u, which gives u = o + 40.\n6. Substitute o = 11 to u, which gives u = 51.\n\nThus, the final answer is u = \\boxed{51}.",
"index": 611,
"question": "Suppose a collection of variables is related by the following definitions: u = a + 15; w = r + 2; k = e + 3; r = y + 15; j = o + 4; a = x + 7; e = j + 10; l = q + 13; y = g + 10; q = w + 9; o = 11; g = o + 16; x = k + 1. Given that o = 11, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"w": "l + 2", "x": "w + 13", "o": "x + 2", "k": "o + 18", "d": "k + 17", "m": "d + 1", "q": "l + 6", "u": "q + 17", "v": "u + 10", "e": "v + 3", "r": "e + 2", "y": "r + 3", "l": 4}, "premises": {"l": 4}, "target": "m"}, "answer": {"steps": [["d", "k + 17", "k + 18"], ["k", "o + 18", "o + 36"], ["o", "x + 2", "x + 38"], ["x", "w + 13", "w + 51"], ["w", "l + 2", "l + 53"], ["l", 4, "57"]], "target_var_name": "m", "target_value": 57, "value_dict": {"l": 4}, "is_reverse": true}}
| 612
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = w + 13; o = x + 2; v = u + 10; l = 4; r = e + 2; u = q + 17; w = l + 2; k = o + 18; y = r + 3; m = d + 1; e = v + 3; d = k + 17; q = l + 6. If l = 4, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = k + 17 to m, which gives m = k + 18.\n2. Substitute k = o + 18 to m, which gives m = o + 36.\n3. Substitute o = x + 2 to m, which gives m = x + 38.\n4. Substitute x = w + 13 to m, which gives m = w + 51.\n5. Substitute w = l + 2 to m, which gives m = l + 53.\n6. Substitute l = 4 to m, which gives m = 57.\n\nThus, the final answer is m = \\boxed{57}.",
"index": 612,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = w + 13; o = x + 2; v = u + 10; l = 4; r = e + 2; u = q + 17; w = l + 2; k = o + 18; y = r + 3; m = d + 1; e = v + 3; d = k + 17; q = l + 6. If l = 4, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"q": "i + 5", "f": "q + 2", "w": "f + 13", "h": "w + 10", "y": "h + 2", "j": "y + 18", "p": "i + 18", "k": "p + 4", "s": "k + 3", "x": "s + 10", "m": "x + 11", "z": "m + 18", "i": 17}, "premises": {"i": 17}, "target": "j"}, "answer": {"steps": [["y", "h + 2", "h + 20"], ["h", "w + 10", "w + 30"], ["w", "f + 13", "f + 43"], ["f", "q + 2", "q + 45"], ["q", "i + 5", "i + 50"], ["i", 17, "67"]], "target_var_name": "j", "target_value": 67, "value_dict": {"i": 17}, "is_reverse": true}}
| 613
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = w + 10; p = i + 18; j = y + 18; f = q + 2; x = s + 10; k = p + 4; w = f + 13; y = h + 2; i = 17; z = m + 18; m = x + 11; s = k + 3; q = i + 5. If i = 17, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = h + 2 to j, which gives j = h + 20.\n2. Substitute h = w + 10 to j, which gives j = w + 30.\n3. Substitute w = f + 13 to j, which gives j = f + 43.\n4. Substitute f = q + 2 to j, which gives j = q + 45.\n5. Substitute q = i + 5 to j, which gives j = i + 50.\n6. Substitute i = 17 to j, which gives j = 67.\n\nThus, the final answer is j = \\boxed{67}.",
"index": 613,
"question": "Consider a system of variables where each variable is defined as follows: h = w + 10; p = i + 18; j = y + 18; f = q + 2; x = s + 10; k = p + 4; w = f + 13; y = h + 2; i = 17; z = m + 18; m = x + 11; s = k + 3; q = i + 5. If i = 17, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"u": "w + 14", "x": "u + 7", "l": "x + 9", "a": "l + 8", "n": "a + 19", "e": "n + 16", "s": "w + 11", "d": "s + 10", "z": "d + 2", "r": "z + 9", "b": "r + 13", "j": "b + 6", "w": 4}, "premises": {"w": 4}, "target": "e"}, "answer": {"steps": [["n", "a + 19", "a + 35"], ["a", "l + 8", "l + 43"], ["l", "x + 9", "x + 52"], ["x", "u + 7", "u + 59"], ["u", "w + 14", "w + 73"], ["w", 4, "77"]], "target_var_name": "e", "target_value": 77, "value_dict": {"w": 4}, "is_reverse": true}}
| 614
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = w + 11; n = a + 19; w = 4; b = r + 13; e = n + 16; r = z + 9; u = w + 14; j = b + 6; a = l + 8; l = x + 9; z = d + 2; d = s + 10; x = u + 7. If w = 4, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = a + 19 to e, which gives e = a + 35.\n2. Substitute a = l + 8 to e, which gives e = l + 43.\n3. Substitute l = x + 9 to e, which gives e = x + 52.\n4. Substitute x = u + 7 to e, which gives e = u + 59.\n5. Substitute u = w + 14 to e, which gives e = w + 73.\n6. Substitute w = 4 to e, which gives e = 77.\n\nThus, the final answer is e = \\boxed{77}.",
"index": 614,
"question": "Consider a system of variables where each variable is defined as follows: s = w + 11; n = a + 19; w = 4; b = r + 13; e = n + 16; r = z + 9; u = w + 14; j = b + 6; a = l + 8; l = x + 9; z = d + 2; d = s + 10; x = u + 7. If w = 4, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"f": "d + 14", "l": "f + 20", "x": "l + 5", "p": "x + 16", "e": "p + 9", "s": "e + 9", "n": "d + 13", "v": "n + 20", "m": "v + 8", "o": "m + 10", "r": "o + 1", "t": "r + 17", "d": 13}, "premises": {"d": 13}, "target": "s"}, "answer": {"steps": [["e", "p + 9", "p + 18"], ["p", "x + 16", "x + 34"], ["x", "l + 5", "l + 39"], ["l", "f + 20", "f + 59"], ["f", "d + 14", "d + 73"], ["d", 13, "86"]], "target_var_name": "s", "target_value": 86, "value_dict": {"d": 13}, "is_reverse": true}}
| 615
| 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 = x + 16; m = v + 8; f = d + 14; x = l + 5; l = f + 20; e = p + 9; n = d + 13; o = m + 10; r = o + 1; d = 13; v = n + 20; s = e + 9; t = r + 17. If d = 13, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = p + 9 to s, which gives s = p + 18.\n2. Substitute p = x + 16 to s, which gives s = x + 34.\n3. Substitute x = l + 5 to s, which gives s = l + 39.\n4. Substitute l = f + 20 to s, which gives s = f + 59.\n5. Substitute f = d + 14 to s, which gives s = d + 73.\n6. Substitute d = 13 to s, which gives s = 86.\n\nThus, the final answer is s = \\boxed{86}.",
"index": 615,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = x + 16; m = v + 8; f = d + 14; x = l + 5; l = f + 20; e = p + 9; n = d + 13; o = m + 10; r = o + 1; d = 13; v = n + 20; s = e + 9; t = r + 17. If d = 13, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"i": "z + 8", "d": "i + 13", "h": "d + 15", "m": "h + 11", "k": "m + 20", "p": "k + 19", "y": "z + 15", "n": "y + 8", "g": "n + 20", "w": "g + 5", "r": "w + 11", "l": "r + 13", "z": 15}, "premises": {"z": 15}, "target": "p"}, "answer": {"steps": [["k", "m + 20", "m + 39"], ["m", "h + 11", "h + 50"], ["h", "d + 15", "d + 65"], ["d", "i + 13", "i + 78"], ["i", "z + 8", "z + 86"], ["z", 15, "101"]], "target_var_name": "p", "target_value": 101, "value_dict": {"z": 15}, "is_reverse": true}}
| 616
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = i + 13; r = w + 11; m = h + 11; h = d + 15; g = n + 20; z = 15; p = k + 19; i = z + 8; y = z + 15; k = m + 20; w = g + 5; l = r + 13; n = y + 8. If z = 15, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 101,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = m + 20 to p, which gives p = m + 39.\n2. Substitute m = h + 11 to p, which gives p = h + 50.\n3. Substitute h = d + 15 to p, which gives p = d + 65.\n4. Substitute d = i + 13 to p, which gives p = i + 78.\n5. Substitute i = z + 8 to p, which gives p = z + 86.\n6. Substitute z = 15 to p, which gives p = 101.\n\nThus, the final answer is p = \\boxed{101}.",
"index": 616,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = i + 13; r = w + 11; m = h + 11; h = d + 15; g = n + 20; z = 15; p = k + 19; i = z + 8; y = z + 15; k = m + 20; w = g + 5; l = r + 13; n = y + 8. If z = 15, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"g": "s + 20", "n": "g + 4", "o": "n + 12", "i": "o + 13", "b": "i + 14", "e": "b + 4", "t": "s + 5", "l": "t + 19", "v": "l + 20", "r": "v + 9", "k": "r + 14", "w": "k + 16", "s": 4}, "premises": {"s": 4}, "target": "e"}, "answer": {"steps": [["b", "i + 14", "i + 18"], ["i", "o + 13", "o + 31"], ["o", "n + 12", "n + 43"], ["n", "g + 4", "g + 47"], ["g", "s + 20", "s + 67"], ["s", 4, "71"]], "target_var_name": "e", "target_value": 71, "value_dict": {"s": 4}, "is_reverse": true}}
| 617
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = s + 5; s = 4; b = i + 14; g = s + 20; l = t + 19; o = n + 12; n = g + 4; i = o + 13; e = b + 4; r = v + 9; w = k + 16; v = l + 20; k = r + 14. Given that s = 4, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = i + 14 to e, which gives e = i + 18.\n2. Substitute i = o + 13 to e, which gives e = o + 31.\n3. Substitute o = n + 12 to e, which gives e = n + 43.\n4. Substitute n = g + 4 to e, which gives e = g + 47.\n5. Substitute g = s + 20 to e, which gives e = s + 67.\n6. Substitute s = 4 to e, which gives e = 71.\n\nThus, the final answer is e = \\boxed{71}.",
"index": 617,
"question": "Suppose a collection of variables is related by the following definitions: t = s + 5; s = 4; b = i + 14; g = s + 20; l = t + 19; o = n + 12; n = g + 4; i = o + 13; e = b + 4; r = v + 9; w = k + 16; v = l + 20; k = r + 14. Given that s = 4, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"r": "v + 9", "x": "r + 15", "z": "x + 6", "k": "z + 9", "p": "k + 16", "l": "p + 7", "h": "v + 13", "o": "h + 20", "f": "o + 18", "a": "f + 5", "d": "a + 1", "e": "d + 11", "v": 11}, "premises": {"v": 11}, "target": "l"}, "answer": {"steps": [["p", "k + 16", "k + 23"], ["k", "z + 9", "z + 32"], ["z", "x + 6", "x + 38"], ["x", "r + 15", "r + 53"], ["r", "v + 9", "v + 62"], ["v", 11, "73"]], "target_var_name": "l", "target_value": 73, "value_dict": {"v": 11}, "is_reverse": true}}
| 618
| 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 + 9; d = a + 1; v = 11; l = p + 7; e = d + 11; a = f + 5; h = v + 13; x = r + 15; z = x + 6; r = v + 9; p = k + 16; o = h + 20; f = o + 18. If v = 11, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = k + 16 to l, which gives l = k + 23.\n2. Substitute k = z + 9 to l, which gives l = z + 32.\n3. Substitute z = x + 6 to l, which gives l = x + 38.\n4. Substitute x = r + 15 to l, which gives l = r + 53.\n5. Substitute r = v + 9 to l, which gives l = v + 62.\n6. Substitute v = 11 to l, which gives l = 73.\n\nThus, the final answer is l = \\boxed{73}.",
"index": 618,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = z + 9; d = a + 1; v = 11; l = p + 7; e = d + 11; a = f + 5; h = v + 13; x = r + 15; z = x + 6; r = v + 9; p = k + 16; o = h + 20; f = o + 18. If v = 11, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"k": "n + 15", "f": "k + 10", "z": "f + 18", "g": "z + 2", "e": "g + 13", "s": "e + 7", "o": "n + 12", "p": "o + 20", "q": "p + 19", "a": "q + 6", "c": "a + 15", "j": "c + 3", "n": 11}, "premises": {"n": 11}, "target": "s"}, "answer": {"steps": [["e", "g + 13", "g + 20"], ["g", "z + 2", "z + 22"], ["z", "f + 18", "f + 40"], ["f", "k + 10", "k + 50"], ["k", "n + 15", "n + 65"], ["n", 11, "76"]], "target_var_name": "s", "target_value": 76, "value_dict": {"n": 11}, "is_reverse": true}}
| 619
| 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 = c + 3; s = e + 7; a = q + 6; f = k + 10; p = o + 20; q = p + 19; g = z + 2; c = a + 15; n = 11; k = n + 15; o = n + 12; z = f + 18; e = g + 13. If n = 11, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = g + 13 to s, which gives s = g + 20.\n2. Substitute g = z + 2 to s, which gives s = z + 22.\n3. Substitute z = f + 18 to s, which gives s = f + 40.\n4. Substitute f = k + 10 to s, which gives s = k + 50.\n5. Substitute k = n + 15 to s, which gives s = n + 65.\n6. Substitute n = 11 to s, which gives s = 76.\n\nThus, the final answer is s = \\boxed{76}.",
"index": 619,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = c + 3; s = e + 7; a = q + 6; f = k + 10; p = o + 20; q = p + 19; g = z + 2; c = a + 15; n = 11; k = n + 15; o = n + 12; z = f + 18; e = g + 13. If n = 11, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"a": "c + 8", "v": "a + 13", "z": "v + 7", "n": "z + 20", "i": "n + 15", "q": "i + 18", "r": "c + 13", "h": "r + 11", "y": "h + 16", "o": "y + 12", "j": "o + 18", "b": "j + 20", "c": 8}, "premises": {"c": 8}, "target": "q"}, "answer": {"steps": [["i", "n + 15", "n + 33"], ["n", "z + 20", "z + 53"], ["z", "v + 7", "v + 60"], ["v", "a + 13", "a + 73"], ["a", "c + 8", "c + 81"], ["c", 8, "89"]], "target_var_name": "q", "target_value": 89, "value_dict": {"c": 8}, "is_reverse": true}}
| 620
| 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 = 8; a = c + 8; b = j + 20; o = y + 12; j = o + 18; q = i + 18; z = v + 7; n = z + 20; i = n + 15; h = r + 11; y = h + 16; v = a + 13; r = c + 13. If c = 8, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = n + 15 to q, which gives q = n + 33.\n2. Substitute n = z + 20 to q, which gives q = z + 53.\n3. Substitute z = v + 7 to q, which gives q = v + 60.\n4. Substitute v = a + 13 to q, which gives q = a + 73.\n5. Substitute a = c + 8 to q, which gives q = c + 81.\n6. Substitute c = 8 to q, which gives q = 89.\n\nThus, the final answer is q = \\boxed{89}.",
"index": 620,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = 8; a = c + 8; b = j + 20; o = y + 12; j = o + 18; q = i + 18; z = v + 7; n = z + 20; i = n + 15; h = r + 11; y = h + 16; v = a + 13; r = c + 13. If c = 8, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"u": "k + 20", "v": "u + 7", "i": "v + 20", "h": "i + 11", "p": "h + 9", "z": "p + 13", "q": "k + 9", "g": "q + 12", "e": "g + 12", "j": "e + 12", "a": "j + 1", "t": "a + 14", "k": 15}, "premises": {"k": 15}, "target": "z"}, "answer": {"steps": [["p", "h + 9", "h + 22"], ["h", "i + 11", "i + 33"], ["i", "v + 20", "v + 53"], ["v", "u + 7", "u + 60"], ["u", "k + 20", "k + 80"], ["k", 15, "95"]], "target_var_name": "z", "target_value": 95, "value_dict": {"k": 15}, "is_reverse": true}}
| 621
| 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 = e + 12; u = k + 20; k = 15; z = p + 13; e = g + 12; t = a + 14; g = q + 12; a = j + 1; q = k + 9; h = i + 11; v = u + 7; p = h + 9; i = v + 20. If k = 15, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = h + 9 to z, which gives z = h + 22.\n2. Substitute h = i + 11 to z, which gives z = i + 33.\n3. Substitute i = v + 20 to z, which gives z = v + 53.\n4. Substitute v = u + 7 to z, which gives z = u + 60.\n5. Substitute u = k + 20 to z, which gives z = k + 80.\n6. Substitute k = 15 to z, which gives z = 95.\n\nThus, the final answer is z = \\boxed{95}.",
"index": 621,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = e + 12; u = k + 20; k = 15; z = p + 13; e = g + 12; t = a + 14; g = q + 12; a = j + 1; q = k + 9; h = i + 11; v = u + 7; p = h + 9; i = v + 20. If k = 15, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"b": "p + 7", "y": "b + 2", "t": "y + 1", "l": "t + 1", "v": "l + 5", "f": "v + 3", "z": "p + 10", "r": "z + 7", "i": "r + 15", "g": "i + 18", "a": "g + 10", "j": "a + 15", "p": 18}, "premises": {"p": 18}, "target": "f"}, "answer": {"steps": [["v", "l + 5", "l + 8"], ["l", "t + 1", "t + 9"], ["t", "y + 1", "y + 10"], ["y", "b + 2", "b + 12"], ["b", "p + 7", "p + 19"], ["p", 18, "37"]], "target_var_name": "f", "target_value": 37, "value_dict": {"p": 18}, "is_reverse": true}}
| 622
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = g + 10; l = t + 1; i = r + 15; z = p + 10; b = p + 7; v = l + 5; p = 18; y = b + 2; f = v + 3; t = y + 1; g = i + 18; j = a + 15; r = z + 7. If p = 18, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 37,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = l + 5 to f, which gives f = l + 8.\n2. Substitute l = t + 1 to f, which gives f = t + 9.\n3. Substitute t = y + 1 to f, which gives f = y + 10.\n4. Substitute y = b + 2 to f, which gives f = b + 12.\n5. Substitute b = p + 7 to f, which gives f = p + 19.\n6. Substitute p = 18 to f, which gives f = 37.\n\nThus, the final answer is f = \\boxed{37}.",
"index": 622,
"question": "Consider a system of variables where each variable is defined as follows: a = g + 10; l = t + 1; i = r + 15; z = p + 10; b = p + 7; v = l + 5; p = 18; y = b + 2; f = v + 3; t = y + 1; g = i + 18; j = a + 15; r = z + 7. If p = 18, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"a": "j + 4", "g": "a + 5", "z": "g + 11", "t": "z + 5", "n": "t + 1", "m": "n + 9", "d": "j + 18", "e": "d + 11", "q": "e + 16", "l": "q + 8", "c": "l + 11", "k": "c + 17", "j": 6}, "premises": {"j": 6}, "target": "m"}, "answer": {"steps": [["n", "t + 1", "t + 10"], ["t", "z + 5", "z + 15"], ["z", "g + 11", "g + 26"], ["g", "a + 5", "a + 31"], ["a", "j + 4", "j + 35"], ["j", 6, "41"]], "target_var_name": "m", "target_value": 41, "value_dict": {"j": 6}, "is_reverse": true}}
| 623
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = c + 17; g = a + 5; m = n + 9; q = e + 16; j = 6; t = z + 5; z = g + 11; l = q + 8; a = j + 4; d = j + 18; n = t + 1; c = l + 11; e = d + 11. If j = 6, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 41,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = t + 1 to m, which gives m = t + 10.\n2. Substitute t = z + 5 to m, which gives m = z + 15.\n3. Substitute z = g + 11 to m, which gives m = g + 26.\n4. Substitute g = a + 5 to m, which gives m = a + 31.\n5. Substitute a = j + 4 to m, which gives m = j + 35.\n6. Substitute j = 6 to m, which gives m = 41.\n\nThus, the final answer is m = \\boxed{41}.",
"index": 623,
"question": "Consider a system of variables where each variable is defined as follows: k = c + 17; g = a + 5; m = n + 9; q = e + 16; j = 6; t = z + 5; z = g + 11; l = q + 8; a = j + 4; d = j + 18; n = t + 1; c = l + 11; e = d + 11. If j = 6, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"f": "c + 14", "y": "f + 7", "z": "y + 19", "b": "z + 19", "t": "b + 6", "k": "t + 12", "s": "c + 20", "v": "s + 3", "i": "v + 15", "o": "i + 17", "m": "o + 5", "q": "m + 2", "c": 13}, "premises": {"c": 13}, "target": "k"}, "answer": {"steps": [["t", "b + 6", "b + 18"], ["b", "z + 19", "z + 37"], ["z", "y + 19", "y + 56"], ["y", "f + 7", "f + 63"], ["f", "c + 14", "c + 77"], ["c", 13, "90"]], "target_var_name": "k", "target_value": 90, "value_dict": {"c": 13}, "is_reverse": true}}
| 624
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = o + 5; o = i + 17; i = v + 15; b = z + 19; k = t + 12; c = 13; t = b + 6; s = c + 20; v = s + 3; q = m + 2; z = y + 19; y = f + 7; f = c + 14. If c = 13, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = b + 6 to k, which gives k = b + 18.\n2. Substitute b = z + 19 to k, which gives k = z + 37.\n3. Substitute z = y + 19 to k, which gives k = y + 56.\n4. Substitute y = f + 7 to k, which gives k = f + 63.\n5. Substitute f = c + 14 to k, which gives k = c + 77.\n6. Substitute c = 13 to k, which gives k = 90.\n\nThus, the final answer is k = \\boxed{90}.",
"index": 624,
"question": "Consider a system of variables where each variable is defined as follows: m = o + 5; o = i + 17; i = v + 15; b = z + 19; k = t + 12; c = 13; t = b + 6; s = c + 20; v = s + 3; q = m + 2; z = y + 19; y = f + 7; f = c + 14. If c = 13, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"m": "k + 10", "j": "m + 18", "e": "j + 19", "n": "e + 4", "w": "n + 5", "l": "w + 13", "a": "k + 15", "h": "a + 18", "q": "h + 18", "s": "q + 8", "x": "s + 16", "o": "x + 17", "k": 10}, "premises": {"k": 10}, "target": "l"}, "answer": {"steps": [["w", "n + 5", "n + 18"], ["n", "e + 4", "e + 22"], ["e", "j + 19", "j + 41"], ["j", "m + 18", "m + 59"], ["m", "k + 10", "k + 69"], ["k", 10, "79"]], "target_var_name": "l", "target_value": 79, "value_dict": {"k": 10}, "is_reverse": true}}
| 625
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = j + 19; a = k + 15; k = 10; j = m + 18; l = w + 13; m = k + 10; s = q + 8; x = s + 16; q = h + 18; h = a + 18; n = e + 4; o = x + 17; w = n + 5. Given that k = 10, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = n + 5 to l, which gives l = n + 18.\n2. Substitute n = e + 4 to l, which gives l = e + 22.\n3. Substitute e = j + 19 to l, which gives l = j + 41.\n4. Substitute j = m + 18 to l, which gives l = m + 59.\n5. Substitute m = k + 10 to l, which gives l = k + 69.\n6. Substitute k = 10 to l, which gives l = 79.\n\nThus, the final answer is l = \\boxed{79}.",
"index": 625,
"question": "Suppose a collection of variables is related by the following definitions: e = j + 19; a = k + 15; k = 10; j = m + 18; l = w + 13; m = k + 10; s = q + 8; x = s + 16; q = h + 18; h = a + 18; n = e + 4; o = x + 17; w = n + 5. Given that k = 10, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"s": "m + 7", "i": "s + 19", "y": "i + 3", "p": "y + 17", "x": "p + 15", "u": "x + 14", "h": "m + 14", "f": "h + 13", "d": "f + 4", "t": "d + 4", "v": "t + 20", "c": "v + 19", "m": 12}, "premises": {"m": 12}, "target": "u"}, "answer": {"steps": [["x", "p + 15", "p + 29"], ["p", "y + 17", "y + 46"], ["y", "i + 3", "i + 49"], ["i", "s + 19", "s + 68"], ["s", "m + 7", "m + 75"], ["m", 12, "87"]], "target_var_name": "u", "target_value": 87, "value_dict": {"m": 12}, "is_reverse": true}}
| 626
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = p + 15; d = f + 4; m = 12; h = m + 14; u = x + 14; p = y + 17; f = h + 13; v = t + 20; i = s + 19; c = v + 19; t = d + 4; y = i + 3; s = m + 7. Given that m = 12, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = p + 15 to u, which gives u = p + 29.\n2. Substitute p = y + 17 to u, which gives u = y + 46.\n3. Substitute y = i + 3 to u, which gives u = i + 49.\n4. Substitute i = s + 19 to u, which gives u = s + 68.\n5. Substitute s = m + 7 to u, which gives u = m + 75.\n6. Substitute m = 12 to u, which gives u = 87.\n\nThus, the final answer is u = \\boxed{87}.",
"index": 626,
"question": "Suppose a collection of variables is related by the following definitions: x = p + 15; d = f + 4; m = 12; h = m + 14; u = x + 14; p = y + 17; f = h + 13; v = t + 20; i = s + 19; c = v + 19; t = d + 4; y = i + 3; s = m + 7. Given that m = 12, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"o": "d + 1", "h": "o + 1", "p": "h + 6", "a": "p + 18", "b": "a + 13", "y": "b + 18", "z": "d + 20", "u": "z + 8", "f": "u + 13", "m": "f + 17", "s": "m + 6", "t": "s + 16", "d": 15}, "premises": {"d": 15}, "target": "y"}, "answer": {"steps": [["b", "a + 13", "a + 31"], ["a", "p + 18", "p + 49"], ["p", "h + 6", "h + 55"], ["h", "o + 1", "o + 56"], ["o", "d + 1", "d + 57"], ["d", 15, "72"]], "target_var_name": "y", "target_value": 72, "value_dict": {"d": 15}, "is_reverse": true}}
| 627
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = h + 6; z = d + 20; b = a + 13; h = o + 1; d = 15; f = u + 13; y = b + 18; m = f + 17; u = z + 8; a = p + 18; o = d + 1; t = s + 16; s = m + 6. If d = 15, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = a + 13 to y, which gives y = a + 31.\n2. Substitute a = p + 18 to y, which gives y = p + 49.\n3. Substitute p = h + 6 to y, which gives y = h + 55.\n4. Substitute h = o + 1 to y, which gives y = o + 56.\n5. Substitute o = d + 1 to y, which gives y = d + 57.\n6. Substitute d = 15 to y, which gives y = 72.\n\nThus, the final answer is y = \\boxed{72}.",
"index": 627,
"question": "Consider a system of variables where each variable is defined as follows: p = h + 6; z = d + 20; b = a + 13; h = o + 1; d = 15; f = u + 13; y = b + 18; m = f + 17; u = z + 8; a = p + 18; o = d + 1; t = s + 16; s = m + 6. If d = 15, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"u": "q + 4", "j": "u + 15", "h": "j + 18", "f": "h + 20", "o": "f + 8", "i": "o + 15", "r": "q + 13", "p": "r + 13", "l": "p + 5", "m": "l + 8", "s": "m + 10", "c": "s + 8", "q": 17}, "premises": {"q": 17}, "target": "i"}, "answer": {"steps": [["o", "f + 8", "f + 23"], ["f", "h + 20", "h + 43"], ["h", "j + 18", "j + 61"], ["j", "u + 15", "u + 76"], ["u", "q + 4", "q + 80"], ["q", 17, "97"]], "target_var_name": "i", "target_value": 97, "value_dict": {"q": 17}, "is_reverse": true}}
| 628
| 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 = s + 8; o = f + 8; i = o + 15; l = p + 5; p = r + 13; r = q + 13; j = u + 15; h = j + 18; f = h + 20; q = 17; u = q + 4; s = m + 10; m = l + 8. If q = 17, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 97,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = f + 8 to i, which gives i = f + 23.\n2. Substitute f = h + 20 to i, which gives i = h + 43.\n3. Substitute h = j + 18 to i, which gives i = j + 61.\n4. Substitute j = u + 15 to i, which gives i = u + 76.\n5. Substitute u = q + 4 to i, which gives i = q + 80.\n6. Substitute q = 17 to i, which gives i = 97.\n\nThus, the final answer is i = \\boxed{97}.",
"index": 628,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = s + 8; o = f + 8; i = o + 15; l = p + 5; p = r + 13; r = q + 13; j = u + 15; h = j + 18; f = h + 20; q = 17; u = q + 4; s = m + 10; m = l + 8. If q = 17, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"z": "e + 12", "i": "z + 17", "f": "i + 8", "g": "f + 1", "w": "g + 4", "k": "w + 13", "t": "e + 12", "d": "t + 16", "j": "d + 11", "r": "j + 3", "h": "r + 14", "v": "h + 5", "e": 20}, "premises": {"e": 20}, "target": "k"}, "answer": {"steps": [["w", "g + 4", "g + 17"], ["g", "f + 1", "f + 18"], ["f", "i + 8", "i + 26"], ["i", "z + 17", "z + 43"], ["z", "e + 12", "e + 55"], ["e", 20, "75"]], "target_var_name": "k", "target_value": 75, "value_dict": {"e": 20}, "is_reverse": true}}
| 629
| 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 = r + 14; r = j + 3; v = h + 5; z = e + 12; k = w + 13; e = 20; w = g + 4; f = i + 8; t = e + 12; j = d + 11; i = z + 17; g = f + 1; d = t + 16. If e = 20, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = g + 4 to k, which gives k = g + 17.\n2. Substitute g = f + 1 to k, which gives k = f + 18.\n3. Substitute f = i + 8 to k, which gives k = i + 26.\n4. Substitute i = z + 17 to k, which gives k = z + 43.\n5. Substitute z = e + 12 to k, which gives k = e + 55.\n6. Substitute e = 20 to k, which gives k = 75.\n\nThus, the final answer is k = \\boxed{75}.",
"index": 629,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = r + 14; r = j + 3; v = h + 5; z = e + 12; k = w + 13; e = 20; w = g + 4; f = i + 8; t = e + 12; j = d + 11; i = z + 17; g = f + 1; d = t + 16. If e = 20, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"w": "l + 14", "q": "w + 19", "s": "q + 20", "c": "s + 11", "x": "c + 15", "i": "x + 15", "o": "l + 4", "m": "o + 2", "z": "m + 9", "n": "z + 19", "a": "n + 20", "r": "a + 17", "l": 7}, "premises": {"l": 7}, "target": "i"}, "answer": {"steps": [["x", "c + 15", "c + 30"], ["c", "s + 11", "s + 41"], ["s", "q + 20", "q + 61"], ["q", "w + 19", "w + 80"], ["w", "l + 14", "l + 94"], ["l", 7, "101"]], "target_var_name": "i", "target_value": 101, "value_dict": {"l": 7}, "is_reverse": true}}
| 630
| 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 = o + 2; i = x + 15; a = n + 20; s = q + 20; q = w + 19; r = a + 17; z = m + 9; l = 7; o = l + 4; n = z + 19; w = l + 14; x = c + 15; c = s + 11. If l = 7, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 101,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = c + 15 to i, which gives i = c + 30.\n2. Substitute c = s + 11 to i, which gives i = s + 41.\n3. Substitute s = q + 20 to i, which gives i = q + 61.\n4. Substitute q = w + 19 to i, which gives i = w + 80.\n5. Substitute w = l + 14 to i, which gives i = l + 94.\n6. Substitute l = 7 to i, which gives i = 101.\n\nThus, the final answer is i = \\boxed{101}.",
"index": 630,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = o + 2; i = x + 15; a = n + 20; s = q + 20; q = w + 19; r = a + 17; z = m + 9; l = 7; o = l + 4; n = z + 19; w = l + 14; x = c + 15; c = s + 11. If l = 7, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"k": "t + 15", "d": "k + 9", "m": "d + 8", "g": "m + 6", "a": "g + 2", "x": "a + 3", "v": "t + 19", "j": "v + 18", "h": "j + 8", "u": "h + 3", "y": "u + 14", "n": "y + 13", "t": 12}, "premises": {"t": 12}, "target": "x"}, "answer": {"steps": [["a", "g + 2", "g + 5"], ["g", "m + 6", "m + 11"], ["m", "d + 8", "d + 19"], ["d", "k + 9", "k + 28"], ["k", "t + 15", "t + 43"], ["t", 12, "55"]], "target_var_name": "x", "target_value": 55, "value_dict": {"t": 12}, "is_reverse": true}}
| 631
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = h + 3; k = t + 15; d = k + 9; a = g + 2; t = 12; n = y + 13; h = j + 8; x = a + 3; m = d + 8; j = v + 18; v = t + 19; g = m + 6; y = u + 14. If t = 12, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = g + 2 to x, which gives x = g + 5.\n2. Substitute g = m + 6 to x, which gives x = m + 11.\n3. Substitute m = d + 8 to x, which gives x = d + 19.\n4. Substitute d = k + 9 to x, which gives x = k + 28.\n5. Substitute k = t + 15 to x, which gives x = t + 43.\n6. Substitute t = 12 to x, which gives x = 55.\n\nThus, the final answer is x = \\boxed{55}.",
"index": 631,
"question": "Consider a system of variables where each variable is defined as follows: u = h + 3; k = t + 15; d = k + 9; a = g + 2; t = 12; n = y + 13; h = j + 8; x = a + 3; m = d + 8; j = v + 18; v = t + 19; g = m + 6; y = u + 14. If t = 12, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"w": "c + 9", "k": "w + 3", "o": "k + 6", "m": "o + 7", "h": "m + 9", "z": "h + 20", "y": "c + 2", "i": "y + 17", "r": "i + 15", "e": "r + 15", "v": "e + 18", "q": "v + 19", "c": 13}, "premises": {"c": 13}, "target": "z"}, "answer": {"steps": [["h", "m + 9", "m + 29"], ["m", "o + 7", "o + 36"], ["o", "k + 6", "k + 42"], ["k", "w + 3", "w + 45"], ["w", "c + 9", "c + 54"], ["c", 13, "67"]], "target_var_name": "z", "target_value": 67, "value_dict": {"c": 13}, "is_reverse": true}}
| 632
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = c + 9; o = k + 6; i = y + 17; h = m + 9; k = w + 3; c = 13; e = r + 15; z = h + 20; r = i + 15; q = v + 19; m = o + 7; y = c + 2; v = e + 18. If c = 13, what is the resulting 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 h = m + 9 to z, which gives z = m + 29.\n2. Substitute m = o + 7 to z, which gives z = o + 36.\n3. Substitute o = k + 6 to z, which gives z = k + 42.\n4. Substitute k = w + 3 to z, which gives z = w + 45.\n5. Substitute w = c + 9 to z, which gives z = c + 54.\n6. Substitute c = 13 to z, which gives z = 67.\n\nThus, the final answer is z = \\boxed{67}.",
"index": 632,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = c + 9; o = k + 6; i = y + 17; h = m + 9; k = w + 3; c = 13; e = r + 15; z = h + 20; r = i + 15; q = v + 19; m = o + 7; y = c + 2; v = e + 18. If c = 13, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"b": "n + 4", "s": "b + 16", "e": "s + 10", "v": "e + 14", "w": "v + 20", "f": "w + 17", "c": "n + 19", "o": "c + 19", "p": "o + 13", "y": "p + 6", "x": "y + 15", "k": "x + 19", "n": 13}, "premises": {"n": 13}, "target": "f"}, "answer": {"steps": [["w", "v + 20", "v + 37"], ["v", "e + 14", "e + 51"], ["e", "s + 10", "s + 61"], ["s", "b + 16", "b + 77"], ["b", "n + 4", "n + 81"], ["n", 13, "94"]], "target_var_name": "f", "target_value": 94, "value_dict": {"n": 13}, "is_reverse": true}}
| 633
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = 13; f = w + 17; y = p + 6; p = o + 13; c = n + 19; b = n + 4; o = c + 19; k = x + 19; x = y + 15; v = e + 14; e = s + 10; s = b + 16; w = v + 20. If n = 13, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = v + 20 to f, which gives f = v + 37.\n2. Substitute v = e + 14 to f, which gives f = e + 51.\n3. Substitute e = s + 10 to f, which gives f = s + 61.\n4. Substitute s = b + 16 to f, which gives f = b + 77.\n5. Substitute b = n + 4 to f, which gives f = n + 81.\n6. Substitute n = 13 to f, which gives f = 94.\n\nThus, the final answer is f = \\boxed{94}.",
"index": 633,
"question": "Consider a system of variables where each variable is defined as follows: n = 13; f = w + 17; y = p + 6; p = o + 13; c = n + 19; b = n + 4; o = c + 19; k = x + 19; x = y + 15; v = e + 14; e = s + 10; s = b + 16; w = v + 20. If n = 13, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"s": "x + 14", "p": "s + 1", "l": "p + 16", "k": "l + 13", "r": "k + 13", "h": "r + 16", "y": "x + 18", "n": "y + 15", "w": "n + 6", "j": "w + 12", "c": "j + 19", "v": "c + 4", "x": 2}, "premises": {"x": 2}, "target": "h"}, "answer": {"steps": [["r", "k + 13", "k + 29"], ["k", "l + 13", "l + 42"], ["l", "p + 16", "p + 58"], ["p", "s + 1", "s + 59"], ["s", "x + 14", "x + 73"], ["x", 2, "75"]], "target_var_name": "h", "target_value": 75, "value_dict": {"x": 2}, "is_reverse": true}}
| 634
| 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 = l + 13; p = s + 1; h = r + 16; x = 2; j = w + 12; v = c + 4; l = p + 16; n = y + 15; y = x + 18; w = n + 6; r = k + 13; c = j + 19; s = x + 14. If x = 2, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = k + 13 to h, which gives h = k + 29.\n2. Substitute k = l + 13 to h, which gives h = l + 42.\n3. Substitute l = p + 16 to h, which gives h = p + 58.\n4. Substitute p = s + 1 to h, which gives h = s + 59.\n5. Substitute s = x + 14 to h, which gives h = x + 73.\n6. Substitute x = 2 to h, which gives h = 75.\n\nThus, the final answer is h = \\boxed{75}.",
"index": 634,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = l + 13; p = s + 1; h = r + 16; x = 2; j = w + 12; v = c + 4; l = p + 16; n = y + 15; y = x + 18; w = n + 6; r = k + 13; c = j + 19; s = x + 14. If x = 2, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"j": "s + 13", "z": "j + 7", "b": "z + 11", "c": "b + 10", "q": "c + 8", "w": "q + 18", "r": "s + 13", "f": "r + 13", "t": "f + 10", "d": "t + 9", "k": "d + 15", "p": "k + 16", "s": 5}, "premises": {"s": 5}, "target": "w"}, "answer": {"steps": [["q", "c + 8", "c + 26"], ["c", "b + 10", "b + 36"], ["b", "z + 11", "z + 47"], ["z", "j + 7", "j + 54"], ["j", "s + 13", "s + 67"], ["s", 5, "72"]], "target_var_name": "w", "target_value": 72, "value_dict": {"s": 5}, "is_reverse": true}}
| 635
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = s + 13; r = s + 13; p = k + 16; k = d + 15; w = q + 18; t = f + 10; c = b + 10; s = 5; f = r + 13; b = z + 11; d = t + 9; q = c + 8; z = j + 7. Given that s = 5, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = c + 8 to w, which gives w = c + 26.\n2. Substitute c = b + 10 to w, which gives w = b + 36.\n3. Substitute b = z + 11 to w, which gives w = z + 47.\n4. Substitute z = j + 7 to w, which gives w = j + 54.\n5. Substitute j = s + 13 to w, which gives w = s + 67.\n6. Substitute s = 5 to w, which gives w = 72.\n\nThus, the final answer is w = \\boxed{72}.",
"index": 635,
"question": "Suppose a collection of variables is related by the following definitions: j = s + 13; r = s + 13; p = k + 16; k = d + 15; w = q + 18; t = f + 10; c = b + 10; s = 5; f = r + 13; b = z + 11; d = t + 9; q = c + 8; z = j + 7. Given that s = 5, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"q": "l + 2", "z": "q + 9", "b": "z + 6", "t": "b + 6", "n": "t + 7", "c": "n + 20", "p": "l + 16", "u": "p + 13", "x": "u + 15", "i": "x + 18", "r": "i + 3", "e": "r + 6", "l": 10}, "premises": {"l": 10}, "target": "c"}, "answer": {"steps": [["n", "t + 7", "t + 27"], ["t", "b + 6", "b + 33"], ["b", "z + 6", "z + 39"], ["z", "q + 9", "q + 48"], ["q", "l + 2", "l + 50"], ["l", 10, "60"]], "target_var_name": "c", "target_value": 60, "value_dict": {"l": 10}, "is_reverse": true}}
| 636
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = u + 15; l = 10; t = b + 6; u = p + 13; p = l + 16; r = i + 3; n = t + 7; i = x + 18; z = q + 9; c = n + 20; q = l + 2; e = r + 6; b = z + 6. If l = 10, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = t + 7 to c, which gives c = t + 27.\n2. Substitute t = b + 6 to c, which gives c = b + 33.\n3. Substitute b = z + 6 to c, which gives c = z + 39.\n4. Substitute z = q + 9 to c, which gives c = q + 48.\n5. Substitute q = l + 2 to c, which gives c = l + 50.\n6. Substitute l = 10 to c, which gives c = 60.\n\nThus, the final answer is c = \\boxed{60}.",
"index": 636,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = u + 15; l = 10; t = b + 6; u = p + 13; p = l + 16; r = i + 3; n = t + 7; i = x + 18; z = q + 9; c = n + 20; q = l + 2; e = r + 6; b = z + 6. If l = 10, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"u": "v + 5", "b": "u + 9", "i": "b + 17", "r": "i + 16", "t": "r + 5", "m": "t + 15", "h": "v + 6", "w": "h + 19", "y": "w + 7", "o": "y + 17", "c": "o + 18", "d": "c + 3", "v": 11}, "premises": {"v": 11}, "target": "m"}, "answer": {"steps": [["t", "r + 5", "r + 20"], ["r", "i + 16", "i + 36"], ["i", "b + 17", "b + 53"], ["b", "u + 9", "u + 62"], ["u", "v + 5", "v + 67"], ["v", 11, "78"]], "target_var_name": "m", "target_value": 78, "value_dict": {"v": 11}, "is_reverse": true}}
| 637
| 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 = 11; d = c + 3; w = h + 19; b = u + 9; i = b + 17; r = i + 16; y = w + 7; m = t + 15; h = v + 6; c = o + 18; t = r + 5; o = y + 17; u = v + 5. If v = 11, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = r + 5 to m, which gives m = r + 20.\n2. Substitute r = i + 16 to m, which gives m = i + 36.\n3. Substitute i = b + 17 to m, which gives m = b + 53.\n4. Substitute b = u + 9 to m, which gives m = u + 62.\n5. Substitute u = v + 5 to m, which gives m = v + 67.\n6. Substitute v = 11 to m, which gives m = 78.\n\nThus, the final answer is m = \\boxed{78}.",
"index": 637,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = 11; d = c + 3; w = h + 19; b = u + 9; i = b + 17; r = i + 16; y = w + 7; m = t + 15; h = v + 6; c = o + 18; t = r + 5; o = y + 17; u = v + 5. If v = 11, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"g": "v + 17", "c": "g + 1", "r": "c + 16", "w": "r + 5", "h": "w + 16", "a": "h + 14", "b": "v + 2", "m": "b + 13", "o": "m + 14", "p": "o + 11", "f": "p + 7", "n": "f + 10", "v": 5}, "premises": {"v": 5}, "target": "a"}, "answer": {"steps": [["h", "w + 16", "w + 30"], ["w", "r + 5", "r + 35"], ["r", "c + 16", "c + 51"], ["c", "g + 1", "g + 52"], ["g", "v + 17", "v + 69"], ["v", 5, "74"]], "target_var_name": "a", "target_value": 74, "value_dict": {"v": 5}, "is_reverse": true}}
| 638
| 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 = h + 14; b = v + 2; v = 5; w = r + 5; m = b + 13; p = o + 11; c = g + 1; h = w + 16; o = m + 14; g = v + 17; f = p + 7; r = c + 16; n = f + 10. If v = 5, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = w + 16 to a, which gives a = w + 30.\n2. Substitute w = r + 5 to a, which gives a = r + 35.\n3. Substitute r = c + 16 to a, which gives a = c + 51.\n4. Substitute c = g + 1 to a, which gives a = g + 52.\n5. Substitute g = v + 17 to a, which gives a = v + 69.\n6. Substitute v = 5 to a, which gives a = 74.\n\nThus, the final answer is a = \\boxed{74}.",
"index": 638,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = h + 14; b = v + 2; v = 5; w = r + 5; m = b + 13; p = o + 11; c = g + 1; h = w + 16; o = m + 14; g = v + 17; f = p + 7; r = c + 16; n = f + 10. If v = 5, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"i": "b + 3", "q": "i + 10", "m": "q + 20", "v": "m + 11", "w": "v + 16", "h": "w + 11", "e": "b + 19", "d": "e + 9", "u": "d + 17", "a": "u + 11", "c": "a + 15", "l": "c + 3", "b": 15}, "premises": {"b": 15}, "target": "h"}, "answer": {"steps": [["w", "v + 16", "v + 27"], ["v", "m + 11", "m + 38"], ["m", "q + 20", "q + 58"], ["q", "i + 10", "i + 68"], ["i", "b + 3", "b + 71"], ["b", 15, "86"]], "target_var_name": "h", "target_value": 86, "value_dict": {"b": 15}, "is_reverse": true}}
| 639
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = e + 9; c = a + 15; a = u + 11; b = 15; h = w + 11; v = m + 11; q = i + 10; l = c + 3; i = b + 3; m = q + 20; u = d + 17; e = b + 19; w = v + 16. Given that b = 15, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = v + 16 to h, which gives h = v + 27.\n2. Substitute v = m + 11 to h, which gives h = m + 38.\n3. Substitute m = q + 20 to h, which gives h = q + 58.\n4. Substitute q = i + 10 to h, which gives h = i + 68.\n5. Substitute i = b + 3 to h, which gives h = b + 71.\n6. Substitute b = 15 to h, which gives h = 86.\n\nThus, the final answer is h = \\boxed{86}.",
"index": 639,
"question": "Suppose a collection of variables is related by the following definitions: d = e + 9; c = a + 15; a = u + 11; b = 15; h = w + 11; v = m + 11; q = i + 10; l = c + 3; i = b + 3; m = q + 20; u = d + 17; e = b + 19; w = v + 16. Given that b = 15, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"u": "p + 20", "c": "u + 10", "q": "c + 18", "f": "q + 2", "e": "f + 17", "z": "e + 1", "n": "p + 12", "w": "n + 7", "b": "w + 20", "l": "b + 18", "k": "l + 8", "r": "k + 2", "p": 1}, "premises": {"p": 1}, "target": "z"}, "answer": {"steps": [["e", "f + 17", "f + 18"], ["f", "q + 2", "q + 20"], ["q", "c + 18", "c + 38"], ["c", "u + 10", "u + 48"], ["u", "p + 20", "p + 68"], ["p", 1, "69"]], "target_var_name": "z", "target_value": 69, "value_dict": {"p": 1}, "is_reverse": true}}
| 640
| 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 = k + 2; w = n + 7; q = c + 18; l = b + 18; e = f + 17; n = p + 12; c = u + 10; b = w + 20; k = l + 8; u = p + 20; f = q + 2; z = e + 1; p = 1. If p = 1, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = f + 17 to z, which gives z = f + 18.\n2. Substitute f = q + 2 to z, which gives z = q + 20.\n3. Substitute q = c + 18 to z, which gives z = c + 38.\n4. Substitute c = u + 10 to z, which gives z = u + 48.\n5. Substitute u = p + 20 to z, which gives z = p + 68.\n6. Substitute p = 1 to z, which gives z = 69.\n\nThus, the final answer is z = \\boxed{69}.",
"index": 640,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = k + 2; w = n + 7; q = c + 18; l = b + 18; e = f + 17; n = p + 12; c = u + 10; b = w + 20; k = l + 8; u = p + 20; f = q + 2; z = e + 1; p = 1. If p = 1, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"x": "e + 20", "h": "x + 6", "k": "h + 17", "w": "k + 4", "y": "w + 15", "q": "y + 20", "m": "e + 7", "z": "m + 5", "n": "z + 10", "c": "n + 19", "p": "c + 20", "i": "p + 13", "e": 18}, "premises": {"e": 18}, "target": "q"}, "answer": {"steps": [["y", "w + 15", "w + 35"], ["w", "k + 4", "k + 39"], ["k", "h + 17", "h + 56"], ["h", "x + 6", "x + 62"], ["x", "e + 20", "e + 82"], ["e", 18, "100"]], "target_var_name": "q", "target_value": 100, "value_dict": {"e": 18}, "is_reverse": true}}
| 641
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = e + 7; w = k + 4; z = m + 5; h = x + 6; i = p + 13; q = y + 20; k = h + 17; n = z + 10; x = e + 20; p = c + 20; y = w + 15; c = n + 19; e = 18. If e = 18, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 100,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = w + 15 to q, which gives q = w + 35.\n2. Substitute w = k + 4 to q, which gives q = k + 39.\n3. Substitute k = h + 17 to q, which gives q = h + 56.\n4. Substitute h = x + 6 to q, which gives q = x + 62.\n5. Substitute x = e + 20 to q, which gives q = e + 82.\n6. Substitute e = 18 to q, which gives q = 100.\n\nThus, the final answer is q = \\boxed{100}.",
"index": 641,
"question": "Consider a system of variables where each variable is defined as follows: m = e + 7; w = k + 4; z = m + 5; h = x + 6; i = p + 13; q = y + 20; k = h + 17; n = z + 10; x = e + 20; p = c + 20; y = w + 15; c = n + 19; e = 18. If e = 18, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"p": "j + 12", "t": "p + 10", "k": "t + 18", "q": "k + 15", "a": "q + 20", "x": "a + 8", "l": "j + 9", "m": "l + 2", "o": "m + 14", "w": "o + 12", "z": "w + 18", "b": "z + 17", "j": 14}, "premises": {"j": 14}, "target": "x"}, "answer": {"steps": [["a", "q + 20", "q + 28"], ["q", "k + 15", "k + 43"], ["k", "t + 18", "t + 61"], ["t", "p + 10", "p + 71"], ["p", "j + 12", "j + 83"], ["j", 14, "97"]], "target_var_name": "x", "target_value": 97, "value_dict": {"j": 14}, "is_reverse": true}}
| 642
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = p + 10; q = k + 15; p = j + 12; b = z + 17; x = a + 8; m = l + 2; w = o + 12; l = j + 9; j = 14; k = t + 18; z = w + 18; o = m + 14; a = q + 20. If j = 14, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 97,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = q + 20 to x, which gives x = q + 28.\n2. Substitute q = k + 15 to x, which gives x = k + 43.\n3. Substitute k = t + 18 to x, which gives x = t + 61.\n4. Substitute t = p + 10 to x, which gives x = p + 71.\n5. Substitute p = j + 12 to x, which gives x = j + 83.\n6. Substitute j = 14 to x, which gives x = 97.\n\nThus, the final answer is x = \\boxed{97}.",
"index": 642,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = p + 10; q = k + 15; p = j + 12; b = z + 17; x = a + 8; m = l + 2; w = o + 12; l = j + 9; j = 14; k = t + 18; z = w + 18; o = m + 14; a = q + 20. If j = 14, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"l": "a + 6", "w": "l + 3", "u": "w + 1", "q": "u + 6", "g": "q + 10", "f": "g + 8", "o": "a + 8", "j": "o + 11", "n": "j + 1", "b": "n + 7", "t": "b + 11", "x": "t + 11", "a": 6}, "premises": {"a": 6}, "target": "f"}, "answer": {"steps": [["g", "q + 10", "q + 18"], ["q", "u + 6", "u + 24"], ["u", "w + 1", "w + 25"], ["w", "l + 3", "l + 28"], ["l", "a + 6", "a + 34"], ["a", 6, "40"]], "target_var_name": "f", "target_value": 40, "value_dict": {"a": 6}, "is_reverse": true}}
| 643
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = q + 10; t = b + 11; q = u + 6; w = l + 3; o = a + 8; f = g + 8; x = t + 11; a = 6; b = n + 7; j = o + 11; u = w + 1; l = a + 6; n = j + 1. Given that a = 6, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 40,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = q + 10 to f, which gives f = q + 18.\n2. Substitute q = u + 6 to f, which gives f = u + 24.\n3. Substitute u = w + 1 to f, which gives f = w + 25.\n4. Substitute w = l + 3 to f, which gives f = l + 28.\n5. Substitute l = a + 6 to f, which gives f = a + 34.\n6. Substitute a = 6 to f, which gives f = 40.\n\nThus, the final answer is f = \\boxed{40}.",
"index": 643,
"question": "Suppose a collection of variables is related by the following definitions: g = q + 10; t = b + 11; q = u + 6; w = l + 3; o = a + 8; f = g + 8; x = t + 11; a = 6; b = n + 7; j = o + 11; u = w + 1; l = a + 6; n = j + 1. Given that a = 6, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"o": "v + 14", "j": "o + 16", "e": "j + 14", "w": "e + 14", "i": "w + 10", "n": "i + 6", "g": "v + 19", "y": "g + 7", "c": "y + 20", "x": "c + 11", "k": "x + 15", "a": "k + 10", "v": 4}, "premises": {"v": 4}, "target": "n"}, "answer": {"steps": [["i", "w + 10", "w + 16"], ["w", "e + 14", "e + 30"], ["e", "j + 14", "j + 44"], ["j", "o + 16", "o + 60"], ["o", "v + 14", "v + 74"], ["v", 4, "78"]], "target_var_name": "n", "target_value": 78, "value_dict": {"v": 4}, "is_reverse": true}}
| 644
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = 4; i = w + 10; g = v + 19; w = e + 14; a = k + 10; n = i + 6; o = v + 14; c = y + 20; k = x + 15; y = g + 7; e = j + 14; x = c + 11; j = o + 16. If v = 4, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = w + 10 to n, which gives n = w + 16.\n2. Substitute w = e + 14 to n, which gives n = e + 30.\n3. Substitute e = j + 14 to n, which gives n = j + 44.\n4. Substitute j = o + 16 to n, which gives n = o + 60.\n5. Substitute o = v + 14 to n, which gives n = v + 74.\n6. Substitute v = 4 to n, which gives n = 78.\n\nThus, the final answer is n = \\boxed{78}.",
"index": 644,
"question": "Consider a system of variables where each variable is defined as follows: v = 4; i = w + 10; g = v + 19; w = e + 14; a = k + 10; n = i + 6; o = v + 14; c = y + 20; k = x + 15; y = g + 7; e = j + 14; x = c + 11; j = o + 16. If v = 4, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"h": "d + 1", "u": "h + 8", "r": "u + 20", "v": "r + 10", "t": "v + 16", "l": "t + 7", "q": "d + 16", "j": "q + 19", "n": "j + 2", "s": "n + 3", "m": "s + 19", "y": "m + 17", "d": 12}, "premises": {"d": 12}, "target": "l"}, "answer": {"steps": [["t", "v + 16", "v + 23"], ["v", "r + 10", "r + 33"], ["r", "u + 20", "u + 53"], ["u", "h + 8", "h + 61"], ["h", "d + 1", "d + 62"], ["d", 12, "74"]], "target_var_name": "l", "target_value": 74, "value_dict": {"d": 12}, "is_reverse": true}}
| 645
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = j + 2; q = d + 16; m = s + 19; r = u + 20; d = 12; l = t + 7; t = v + 16; v = r + 10; j = q + 19; y = m + 17; h = d + 1; s = n + 3; u = h + 8. If d = 12, 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 t = v + 16 to l, which gives l = v + 23.\n2. Substitute v = r + 10 to l, which gives l = r + 33.\n3. Substitute r = u + 20 to l, which gives l = u + 53.\n4. Substitute u = h + 8 to l, which gives l = h + 61.\n5. Substitute h = d + 1 to l, which gives l = d + 62.\n6. Substitute d = 12 to l, which gives l = 74.\n\nThus, the final answer is l = \\boxed{74}.",
"index": 645,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = j + 2; q = d + 16; m = s + 19; r = u + 20; d = 12; l = t + 7; t = v + 16; v = r + 10; j = q + 19; y = m + 17; h = d + 1; s = n + 3; u = h + 8. If d = 12, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"z": "j + 15", "q": "z + 13", "i": "q + 10", "o": "i + 12", "e": "o + 20", "u": "e + 7", "w": "j + 6", "b": "w + 20", "s": "b + 13", "y": "s + 14", "t": "y + 10", "n": "t + 19", "j": 2}, "premises": {"j": 2}, "target": "u"}, "answer": {"steps": [["e", "o + 20", "o + 27"], ["o", "i + 12", "i + 39"], ["i", "q + 10", "q + 49"], ["q", "z + 13", "z + 62"], ["z", "j + 15", "j + 77"], ["j", 2, "79"]], "target_var_name": "u", "target_value": 79, "value_dict": {"j": 2}, "is_reverse": true}}
| 646
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = b + 13; e = o + 20; y = s + 14; w = j + 6; u = e + 7; t = y + 10; q = z + 13; z = j + 15; b = w + 20; n = t + 19; o = i + 12; j = 2; i = q + 10. If j = 2, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = o + 20 to u, which gives u = o + 27.\n2. Substitute o = i + 12 to u, which gives u = i + 39.\n3. Substitute i = q + 10 to u, which gives u = q + 49.\n4. Substitute q = z + 13 to u, which gives u = z + 62.\n5. Substitute z = j + 15 to u, which gives u = j + 77.\n6. Substitute j = 2 to u, which gives u = 79.\n\nThus, the final answer is u = \\boxed{79}.",
"index": 646,
"question": "Consider a system of variables where each variable is defined as follows: s = b + 13; e = o + 20; y = s + 14; w = j + 6; u = e + 7; t = y + 10; q = z + 13; z = j + 15; b = w + 20; n = t + 19; o = i + 12; j = 2; i = q + 10. If j = 2, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"b": "f + 4", "n": "b + 13", "e": "n + 16", "u": "e + 9", "o": "u + 9", "x": "o + 20", "w": "f + 17", "q": "w + 20", "j": "q + 2", "i": "j + 13", "c": "i + 10", "d": "c + 17", "f": 8}, "premises": {"f": 8}, "target": "x"}, "answer": {"steps": [["o", "u + 9", "u + 29"], ["u", "e + 9", "e + 38"], ["e", "n + 16", "n + 54"], ["n", "b + 13", "b + 67"], ["b", "f + 4", "f + 71"], ["f", 8, "79"]], "target_var_name": "x", "target_value": 79, "value_dict": {"f": 8}, "is_reverse": true}}
| 647
| 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 = i + 10; f = 8; q = w + 20; d = c + 17; o = u + 9; e = n + 16; b = f + 4; j = q + 2; i = j + 13; u = e + 9; w = f + 17; n = b + 13; x = o + 20. If f = 8, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = u + 9 to x, which gives x = u + 29.\n2. Substitute u = e + 9 to x, which gives x = e + 38.\n3. Substitute e = n + 16 to x, which gives x = n + 54.\n4. Substitute n = b + 13 to x, which gives x = b + 67.\n5. Substitute b = f + 4 to x, which gives x = f + 71.\n6. Substitute f = 8 to x, which gives x = 79.\n\nThus, the final answer is x = \\boxed{79}.",
"index": 647,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = i + 10; f = 8; q = w + 20; d = c + 17; o = u + 9; e = n + 16; b = f + 4; j = q + 2; i = j + 13; u = e + 9; w = f + 17; n = b + 13; x = o + 20. If f = 8, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"f": "b + 13", "h": "f + 11", "m": "h + 15", "n": "m + 14", "o": "n + 4", "w": "o + 19", "g": "b + 6", "v": "g + 8", "k": "v + 10", "i": "k + 7", "z": "i + 20", "q": "z + 18", "b": 16}, "premises": {"b": 16}, "target": "w"}, "answer": {"steps": [["o", "n + 4", "n + 23"], ["n", "m + 14", "m + 37"], ["m", "h + 15", "h + 52"], ["h", "f + 11", "f + 63"], ["f", "b + 13", "b + 76"], ["b", 16, "92"]], "target_var_name": "w", "target_value": 92, "value_dict": {"b": 16}, "is_reverse": true}}
| 648
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = n + 4; n = m + 14; k = v + 10; i = k + 7; f = b + 13; g = b + 6; h = f + 11; m = h + 15; v = g + 8; z = i + 20; q = z + 18; w = o + 19; b = 16. If b = 16, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = n + 4 to w, which gives w = n + 23.\n2. Substitute n = m + 14 to w, which gives w = m + 37.\n3. Substitute m = h + 15 to w, which gives w = h + 52.\n4. Substitute h = f + 11 to w, which gives w = f + 63.\n5. Substitute f = b + 13 to w, which gives w = b + 76.\n6. Substitute b = 16 to w, which gives w = 92.\n\nThus, the final answer is w = \\boxed{92}.",
"index": 648,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = n + 4; n = m + 14; k = v + 10; i = k + 7; f = b + 13; g = b + 6; h = f + 11; m = h + 15; v = g + 8; z = i + 20; q = z + 18; w = o + 19; b = 16. If b = 16, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"y": "a + 9", "v": "y + 10", "e": "v + 15", "c": "e + 19", "x": "c + 4", "z": "x + 8", "k": "a + 14", "h": "k + 2", "t": "h + 17", "q": "t + 15", "g": "q + 10", "o": "g + 11", "a": 11}, "premises": {"a": 11}, "target": "z"}, "answer": {"steps": [["x", "c + 4", "c + 12"], ["c", "e + 19", "e + 31"], ["e", "v + 15", "v + 46"], ["v", "y + 10", "y + 56"], ["y", "a + 9", "a + 65"], ["a", 11, "76"]], "target_var_name": "z", "target_value": 76, "value_dict": {"a": 11}, "is_reverse": true}}
| 649
| 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 = q + 10; a = 11; e = v + 15; y = a + 9; t = h + 17; o = g + 11; v = y + 10; h = k + 2; z = x + 8; c = e + 19; q = t + 15; x = c + 4; k = a + 14. If a = 11, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = c + 4 to z, which gives z = c + 12.\n2. Substitute c = e + 19 to z, which gives z = e + 31.\n3. Substitute e = v + 15 to z, which gives z = v + 46.\n4. Substitute v = y + 10 to z, which gives z = y + 56.\n5. Substitute y = a + 9 to z, which gives z = a + 65.\n6. Substitute a = 11 to z, which gives z = 76.\n\nThus, the final answer is z = \\boxed{76}.",
"index": 649,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = q + 10; a = 11; e = v + 15; y = a + 9; t = h + 17; o = g + 11; v = y + 10; h = k + 2; z = x + 8; c = e + 19; q = t + 15; x = c + 4; k = a + 14. If a = 11, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"o": "y + 13", "z": "o + 1", "w": "z + 1", "s": "w + 8", "j": "s + 5", "n": "j + 20", "v": "y + 2", "d": "v + 13", "p": "d + 5", "e": "p + 13", "a": "e + 14", "q": "a + 17", "y": 19}, "premises": {"y": 19}, "target": "n"}, "answer": {"steps": [["j", "s + 5", "s + 25"], ["s", "w + 8", "w + 33"], ["w", "z + 1", "z + 34"], ["z", "o + 1", "o + 35"], ["o", "y + 13", "y + 48"], ["y", 19, "67"]], "target_var_name": "n", "target_value": 67, "value_dict": {"y": 19}, "is_reverse": true}}
| 650
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = v + 13; n = j + 20; e = p + 13; p = d + 5; o = y + 13; q = a + 17; s = w + 8; y = 19; z = o + 1; v = y + 2; j = s + 5; w = z + 1; a = e + 14. If y = 19, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = s + 5 to n, which gives n = s + 25.\n2. Substitute s = w + 8 to n, which gives n = w + 33.\n3. Substitute w = z + 1 to n, which gives n = z + 34.\n4. Substitute z = o + 1 to n, which gives n = o + 35.\n5. Substitute o = y + 13 to n, which gives n = y + 48.\n6. Substitute y = 19 to n, which gives n = 67.\n\nThus, the final answer is n = \\boxed{67}.",
"index": 650,
"question": "Consider a system of variables where each variable is defined as follows: d = v + 13; n = j + 20; e = p + 13; p = d + 5; o = y + 13; q = a + 17; s = w + 8; y = 19; z = o + 1; v = y + 2; j = s + 5; w = z + 1; a = e + 14. If y = 19, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"h": "z + 12", "u": "h + 6", "i": "u + 11", "b": "i + 20", "r": "b + 18", "e": "r + 2", "p": "z + 3", "o": "p + 14", "q": "o + 7", "k": "q + 10", "d": "k + 7", "f": "d + 4", "z": 5}, "premises": {"z": 5}, "target": "e"}, "answer": {"steps": [["r", "b + 18", "b + 20"], ["b", "i + 20", "i + 40"], ["i", "u + 11", "u + 51"], ["u", "h + 6", "h + 57"], ["h", "z + 12", "z + 69"], ["z", 5, "74"]], "target_var_name": "e", "target_value": 74, "value_dict": {"z": 5}, "is_reverse": true}}
| 651
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = 5; h = z + 12; k = q + 10; d = k + 7; f = d + 4; u = h + 6; e = r + 2; r = b + 18; i = u + 11; b = i + 20; p = z + 3; q = o + 7; o = p + 14. If z = 5, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = b + 18 to e, which gives e = b + 20.\n2. Substitute b = i + 20 to e, which gives e = i + 40.\n3. Substitute i = u + 11 to e, which gives e = u + 51.\n4. Substitute u = h + 6 to e, which gives e = h + 57.\n5. Substitute h = z + 12 to e, which gives e = z + 69.\n6. Substitute z = 5 to e, which gives e = 74.\n\nThus, the final answer is e = \\boxed{74}.",
"index": 651,
"question": "Consider a system of variables where each variable is defined as follows: z = 5; h = z + 12; k = q + 10; d = k + 7; f = d + 4; u = h + 6; e = r + 2; r = b + 18; i = u + 11; b = i + 20; p = z + 3; q = o + 7; o = p + 14. If z = 5, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"v": "j + 20", "b": "v + 19", "i": "b + 13", "e": "i + 20", "t": "e + 7", "k": "t + 18", "r": "j + 2", "p": "r + 19", "s": "p + 1", "f": "s + 5", "a": "f + 15", "h": "a + 10", "j": 15}, "premises": {"j": 15}, "target": "k"}, "answer": {"steps": [["t", "e + 7", "e + 25"], ["e", "i + 20", "i + 45"], ["i", "b + 13", "b + 58"], ["b", "v + 19", "v + 77"], ["v", "j + 20", "j + 97"], ["j", 15, "112"]], "target_var_name": "k", "target_value": 112, "value_dict": {"j": 15}, "is_reverse": true}}
| 652
| 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 = a + 10; e = i + 20; b = v + 19; p = r + 19; v = j + 20; i = b + 13; s = p + 1; j = 15; k = t + 18; f = s + 5; t = e + 7; a = f + 15; r = j + 2. If j = 15, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 112,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = e + 7 to k, which gives k = e + 25.\n2. Substitute e = i + 20 to k, which gives k = i + 45.\n3. Substitute i = b + 13 to k, which gives k = b + 58.\n4. Substitute b = v + 19 to k, which gives k = v + 77.\n5. Substitute v = j + 20 to k, which gives k = j + 97.\n6. Substitute j = 15 to k, which gives k = 112.\n\nThus, the final answer is k = \\boxed{112}.",
"index": 652,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = a + 10; e = i + 20; b = v + 19; p = r + 19; v = j + 20; i = b + 13; s = p + 1; j = 15; k = t + 18; f = s + 5; t = e + 7; a = f + 15; r = j + 2. If j = 15, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"i": "v + 13", "u": "i + 14", "d": "u + 18", "z": "d + 3", "b": "z + 12", "f": "b + 18", "c": "v + 16", "m": "c + 19", "n": "m + 18", "j": "n + 14", "r": "j + 6", "y": "r + 3", "v": 7}, "premises": {"v": 7}, "target": "f"}, "answer": {"steps": [["b", "z + 12", "z + 30"], ["z", "d + 3", "d + 33"], ["d", "u + 18", "u + 51"], ["u", "i + 14", "i + 65"], ["i", "v + 13", "v + 78"], ["v", 7, "85"]], "target_var_name": "f", "target_value": 85, "value_dict": {"v": 7}, "is_reverse": true}}
| 653
| 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 = v + 16; v = 7; j = n + 14; z = d + 3; f = b + 18; m = c + 19; n = m + 18; u = i + 14; r = j + 6; i = v + 13; b = z + 12; d = u + 18; y = r + 3. If v = 7, 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 b = z + 12 to f, which gives f = z + 30.\n2. Substitute z = d + 3 to f, which gives f = d + 33.\n3. Substitute d = u + 18 to f, which gives f = u + 51.\n4. Substitute u = i + 14 to f, which gives f = i + 65.\n5. Substitute i = v + 13 to f, which gives f = v + 78.\n6. Substitute v = 7 to f, which gives f = 85.\n\nThus, the final answer is f = \\boxed{85}.",
"index": 653,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = v + 16; v = 7; j = n + 14; z = d + 3; f = b + 18; m = c + 19; n = m + 18; u = i + 14; r = j + 6; i = v + 13; b = z + 12; d = u + 18; y = r + 3. If v = 7, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"u": "p + 8", "q": "u + 16", "y": "q + 12", "h": "y + 8", "z": "h + 11", "l": "z + 12", "t": "p + 3", "i": "t + 17", "v": "i + 13", "x": "v + 4", "a": "x + 5", "b": "a + 13", "p": 18}, "premises": {"p": 18}, "target": "l"}, "answer": {"steps": [["z", "h + 11", "h + 23"], ["h", "y + 8", "y + 31"], ["y", "q + 12", "q + 43"], ["q", "u + 16", "u + 59"], ["u", "p + 8", "p + 67"], ["p", 18, "85"]], "target_var_name": "l", "target_value": 85, "value_dict": {"p": 18}, "is_reverse": true}}
| 654
| 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 = 18; l = z + 12; b = a + 13; y = q + 12; v = i + 13; a = x + 5; q = u + 16; x = v + 4; u = p + 8; i = t + 17; t = p + 3; z = h + 11; h = y + 8. If p = 18, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = h + 11 to l, which gives l = h + 23.\n2. Substitute h = y + 8 to l, which gives l = y + 31.\n3. Substitute y = q + 12 to l, which gives l = q + 43.\n4. Substitute q = u + 16 to l, which gives l = u + 59.\n5. Substitute u = p + 8 to l, which gives l = p + 67.\n6. Substitute p = 18 to l, which gives l = 85.\n\nThus, the final answer is l = \\boxed{85}.",
"index": 654,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = 18; l = z + 12; b = a + 13; y = q + 12; v = i + 13; a = x + 5; q = u + 16; x = v + 4; u = p + 8; i = t + 17; t = p + 3; z = h + 11; h = y + 8. If p = 18, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"g": "r + 7", "c": "g + 13", "w": "c + 17", "y": "w + 18", "h": "y + 18", "o": "h + 20", "n": "r + 14", "i": "n + 18", "z": "i + 10", "u": "z + 20", "b": "u + 10", "k": "b + 20", "r": 10}, "premises": {"r": 10}, "target": "o"}, "answer": {"steps": [["h", "y + 18", "y + 38"], ["y", "w + 18", "w + 56"], ["w", "c + 17", "c + 73"], ["c", "g + 13", "g + 86"], ["g", "r + 7", "r + 93"], ["r", 10, "103"]], "target_var_name": "o", "target_value": 103, "value_dict": {"r": 10}, "is_reverse": true}}
| 655
| 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 + 10; w = c + 17; y = w + 18; h = y + 18; k = b + 20; c = g + 13; b = u + 10; n = r + 14; i = n + 18; o = h + 20; g = r + 7; u = z + 20; r = 10. If r = 10, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 103,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = y + 18 to o, which gives o = y + 38.\n2. Substitute y = w + 18 to o, which gives o = w + 56.\n3. Substitute w = c + 17 to o, which gives o = c + 73.\n4. Substitute c = g + 13 to o, which gives o = g + 86.\n5. Substitute g = r + 7 to o, which gives o = r + 93.\n6. Substitute r = 10 to o, which gives o = 103.\n\nThus, the final answer is o = \\boxed{103}.",
"index": 655,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = i + 10; w = c + 17; y = w + 18; h = y + 18; k = b + 20; c = g + 13; b = u + 10; n = r + 14; i = n + 18; o = h + 20; g = r + 7; u = z + 20; r = 10. If r = 10, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"n": "l + 6", "d": "n + 6", "w": "d + 3", "b": "w + 10", "o": "b + 13", "c": "o + 8", "i": "l + 17", "j": "i + 15", "q": "j + 16", "y": "q + 16", "m": "y + 1", "p": "m + 10", "l": 17}, "premises": {"l": 17}, "target": "c"}, "answer": {"steps": [["o", "b + 13", "b + 21"], ["b", "w + 10", "w + 31"], ["w", "d + 3", "d + 34"], ["d", "n + 6", "n + 40"], ["n", "l + 6", "l + 46"], ["l", 17, "63"]], "target_var_name": "c", "target_value": 63, "value_dict": {"l": 17}, "is_reverse": true}}
| 656
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = d + 3; y = q + 16; d = n + 6; q = j + 16; i = l + 17; o = b + 13; b = w + 10; j = i + 15; m = y + 1; c = o + 8; n = l + 6; p = m + 10; l = 17. If l = 17, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = b + 13 to c, which gives c = b + 21.\n2. Substitute b = w + 10 to c, which gives c = w + 31.\n3. Substitute w = d + 3 to c, which gives c = d + 34.\n4. Substitute d = n + 6 to c, which gives c = n + 40.\n5. Substitute n = l + 6 to c, which gives c = l + 46.\n6. Substitute l = 17 to c, which gives c = 63.\n\nThus, the final answer is c = \\boxed{63}.",
"index": 656,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = d + 3; y = q + 16; d = n + 6; q = j + 16; i = l + 17; o = b + 13; b = w + 10; j = i + 15; m = y + 1; c = o + 8; n = l + 6; p = m + 10; l = 17. If l = 17, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"t": "n + 20", "c": "t + 10", "v": "c + 5", "x": "v + 11", "j": "x + 2", "u": "j + 6", "i": "n + 12", "o": "i + 18", "q": "o + 11", "b": "q + 7", "k": "b + 6", "y": "k + 19", "n": 11}, "premises": {"n": 11}, "target": "u"}, "answer": {"steps": [["j", "x + 2", "x + 8"], ["x", "v + 11", "v + 19"], ["v", "c + 5", "c + 24"], ["c", "t + 10", "t + 34"], ["t", "n + 20", "n + 54"], ["n", 11, "65"]], "target_var_name": "u", "target_value": 65, "value_dict": {"n": 11}, "is_reverse": true}}
| 657
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = j + 6; b = q + 7; y = k + 19; n = 11; k = b + 6; c = t + 10; j = x + 2; o = i + 18; v = c + 5; q = o + 11; i = n + 12; x = v + 11; t = n + 20. If n = 11, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = x + 2 to u, which gives u = x + 8.\n2. Substitute x = v + 11 to u, which gives u = v + 19.\n3. Substitute v = c + 5 to u, which gives u = c + 24.\n4. Substitute c = t + 10 to u, which gives u = t + 34.\n5. Substitute t = n + 20 to u, which gives u = n + 54.\n6. Substitute n = 11 to u, which gives u = 65.\n\nThus, the final answer is u = \\boxed{65}.",
"index": 657,
"question": "Consider a system of variables where each variable is defined as follows: u = j + 6; b = q + 7; y = k + 19; n = 11; k = b + 6; c = t + 10; j = x + 2; o = i + 18; v = c + 5; q = o + 11; i = n + 12; x = v + 11; t = n + 20. If n = 11, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"n": "b + 8", "s": "n + 18", "d": "s + 5", "z": "d + 6", "u": "z + 2", "c": "u + 2", "g": "b + 4", "v": "g + 15", "i": "v + 8", "x": "i + 12", "o": "x + 15", "r": "o + 20", "b": 17}, "premises": {"b": 17}, "target": "c"}, "answer": {"steps": [["u", "z + 2", "z + 4"], ["z", "d + 6", "d + 10"], ["d", "s + 5", "s + 15"], ["s", "n + 18", "n + 33"], ["n", "b + 8", "b + 41"], ["b", 17, "58"]], "target_var_name": "c", "target_value": 58, "value_dict": {"b": 17}, "is_reverse": true}}
| 658
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = x + 15; u = z + 2; r = o + 20; v = g + 15; x = i + 12; i = v + 8; g = b + 4; z = d + 6; c = u + 2; b = 17; n = b + 8; d = s + 5; s = n + 18. If b = 17, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = z + 2 to c, which gives c = z + 4.\n2. Substitute z = d + 6 to c, which gives c = d + 10.\n3. Substitute d = s + 5 to c, which gives c = s + 15.\n4. Substitute s = n + 18 to c, which gives c = n + 33.\n5. Substitute n = b + 8 to c, which gives c = b + 41.\n6. Substitute b = 17 to c, which gives c = 58.\n\nThus, the final answer is c = \\boxed{58}.",
"index": 658,
"question": "Consider a system of variables where each variable is defined as follows: o = x + 15; u = z + 2; r = o + 20; v = g + 15; x = i + 12; i = v + 8; g = b + 4; z = d + 6; c = u + 2; b = 17; n = b + 8; d = s + 5; s = n + 18. If b = 17, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"f": "y + 9", "w": "f + 10", "j": "w + 15", "m": "j + 15", "c": "m + 9", "h": "c + 12", "g": "y + 15", "r": "g + 3", "o": "r + 13", "b": "o + 2", "k": "b + 10", "t": "k + 9", "y": 7}, "premises": {"y": 7}, "target": "h"}, "answer": {"steps": [["c", "m + 9", "m + 21"], ["m", "j + 15", "j + 36"], ["j", "w + 15", "w + 51"], ["w", "f + 10", "f + 61"], ["f", "y + 9", "y + 70"], ["y", 7, "77"]], "target_var_name": "h", "target_value": 77, "value_dict": {"y": 7}, "is_reverse": true}}
| 659
| 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 + 3; g = y + 15; w = f + 10; f = y + 9; t = k + 9; b = o + 2; m = j + 15; h = c + 12; c = m + 9; j = w + 15; y = 7; k = b + 10; o = r + 13. If y = 7, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = m + 9 to h, which gives h = m + 21.\n2. Substitute m = j + 15 to h, which gives h = j + 36.\n3. Substitute j = w + 15 to h, which gives h = w + 51.\n4. Substitute w = f + 10 to h, which gives h = f + 61.\n5. Substitute f = y + 9 to h, which gives h = y + 70.\n6. Substitute y = 7 to h, which gives h = 77.\n\nThus, the final answer is h = \\boxed{77}.",
"index": 659,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = g + 3; g = y + 15; w = f + 10; f = y + 9; t = k + 9; b = o + 2; m = j + 15; h = c + 12; c = m + 9; j = w + 15; y = 7; k = b + 10; o = r + 13. If y = 7, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"v": "a + 18", "w": "v + 6", "h": "w + 14", "u": "h + 18", "r": "u + 6", "t": "r + 6", "f": "a + 2", "x": "f + 6", "q": "x + 1", "l": "q + 16", "y": "l + 16", "o": "y + 17", "a": 6}, "premises": {"a": 6}, "target": "t"}, "answer": {"steps": [["r", "u + 6", "u + 12"], ["u", "h + 18", "h + 30"], ["h", "w + 14", "w + 44"], ["w", "v + 6", "v + 50"], ["v", "a + 18", "a + 68"], ["a", 6, "74"]], "target_var_name": "t", "target_value": 74, "value_dict": {"a": 6}, "is_reverse": true}}
| 660
| 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 = w + 14; u = h + 18; q = x + 1; w = v + 6; v = a + 18; t = r + 6; x = f + 6; r = u + 6; f = a + 2; a = 6; y = l + 16; o = y + 17; l = q + 16. If a = 6, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = u + 6 to t, which gives t = u + 12.\n2. Substitute u = h + 18 to t, which gives t = h + 30.\n3. Substitute h = w + 14 to t, which gives t = w + 44.\n4. Substitute w = v + 6 to t, which gives t = v + 50.\n5. Substitute v = a + 18 to t, which gives t = a + 68.\n6. Substitute a = 6 to t, which gives t = 74.\n\nThus, the final answer is t = \\boxed{74}.",
"index": 660,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = w + 14; u = h + 18; q = x + 1; w = v + 6; v = a + 18; t = r + 6; x = f + 6; r = u + 6; f = a + 2; a = 6; y = l + 16; o = y + 17; l = q + 16. If a = 6, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"l": "u + 2", "r": "l + 4", "w": "r + 5", "j": "w + 19", "n": "j + 13", "z": "n + 17", "e": "u + 19", "a": "e + 19", "f": "a + 3", "p": "f + 14", "o": "p + 7", "s": "o + 11", "u": 9}, "premises": {"u": 9}, "target": "z"}, "answer": {"steps": [["n", "j + 13", "j + 30"], ["j", "w + 19", "w + 49"], ["w", "r + 5", "r + 54"], ["r", "l + 4", "l + 58"], ["l", "u + 2", "u + 60"], ["u", 9, "69"]], "target_var_name": "z", "target_value": 69, "value_dict": {"u": 9}, "is_reverse": true}}
| 661
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = r + 5; n = j + 13; l = u + 2; o = p + 7; u = 9; e = u + 19; f = a + 3; r = l + 4; z = n + 17; a = e + 19; s = o + 11; p = f + 14; j = w + 19. If u = 9, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = j + 13 to z, which gives z = j + 30.\n2. Substitute j = w + 19 to z, which gives z = w + 49.\n3. Substitute w = r + 5 to z, which gives z = r + 54.\n4. Substitute r = l + 4 to z, which gives z = l + 58.\n5. Substitute l = u + 2 to z, which gives z = u + 60.\n6. Substitute u = 9 to z, which gives z = 69.\n\nThus, the final answer is z = \\boxed{69}.",
"index": 661,
"question": "Consider a system of variables where each variable is defined as follows: w = r + 5; n = j + 13; l = u + 2; o = p + 7; u = 9; e = u + 19; f = a + 3; r = l + 4; z = n + 17; a = e + 19; s = o + 11; p = f + 14; j = w + 19. If u = 9, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"x": "y + 8", "p": "x + 14", "e": "p + 20", "c": "e + 2", "q": "c + 14", "l": "q + 8", "t": "y + 10", "r": "t + 18", "m": "r + 18", "i": "m + 5", "u": "i + 19", "z": "u + 10", "y": 9}, "premises": {"y": 9}, "target": "l"}, "answer": {"steps": [["q", "c + 14", "c + 22"], ["c", "e + 2", "e + 24"], ["e", "p + 20", "p + 44"], ["p", "x + 14", "x + 58"], ["x", "y + 8", "y + 66"], ["y", 9, "75"]], "target_var_name": "l", "target_value": 75, "value_dict": {"y": 9}, "is_reverse": true}}
| 662
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = t + 18; c = e + 2; q = c + 14; t = y + 10; u = i + 19; l = q + 8; x = y + 8; i = m + 5; e = p + 20; y = 9; p = x + 14; m = r + 18; z = u + 10. Given that y = 9, find the 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 q = c + 14 to l, which gives l = c + 22.\n2. Substitute c = e + 2 to l, which gives l = e + 24.\n3. Substitute e = p + 20 to l, which gives l = p + 44.\n4. Substitute p = x + 14 to l, which gives l = x + 58.\n5. Substitute x = y + 8 to l, which gives l = y + 66.\n6. Substitute y = 9 to l, which gives l = 75.\n\nThus, the final answer is l = \\boxed{75}.",
"index": 662,
"question": "Suppose a collection of variables is related by the following definitions: r = t + 18; c = e + 2; q = c + 14; t = y + 10; u = i + 19; l = q + 8; x = y + 8; i = m + 5; e = p + 20; y = 9; p = x + 14; m = r + 18; z = u + 10. Given that y = 9, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"y": "b + 19", "d": "y + 16", "j": "d + 6", "g": "j + 10", "p": "g + 9", "w": "p + 12", "t": "b + 6", "x": "t + 1", "i": "x + 18", "o": "i + 12", "s": "o + 10", "v": "s + 6", "b": 16}, "premises": {"b": 16}, "target": "w"}, "answer": {"steps": [["p", "g + 9", "g + 21"], ["g", "j + 10", "j + 31"], ["j", "d + 6", "d + 37"], ["d", "y + 16", "y + 53"], ["y", "b + 19", "b + 72"], ["b", 16, "88"]], "target_var_name": "w", "target_value": 88, "value_dict": {"b": 16}, "is_reverse": true}}
| 663
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = s + 6; j = d + 6; t = b + 6; i = x + 18; g = j + 10; w = p + 12; b = 16; y = b + 19; x = t + 1; p = g + 9; s = o + 10; o = i + 12; d = y + 16. If b = 16, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = g + 9 to w, which gives w = g + 21.\n2. Substitute g = j + 10 to w, which gives w = j + 31.\n3. Substitute j = d + 6 to w, which gives w = d + 37.\n4. Substitute d = y + 16 to w, which gives w = y + 53.\n5. Substitute y = b + 19 to w, which gives w = b + 72.\n6. Substitute b = 16 to w, which gives w = 88.\n\nThus, the final answer is w = \\boxed{88}.",
"index": 663,
"question": "Consider a system of variables where each variable is defined as follows: v = s + 6; j = d + 6; t = b + 6; i = x + 18; g = j + 10; w = p + 12; b = 16; y = b + 19; x = t + 1; p = g + 9; s = o + 10; o = i + 12; d = y + 16. If b = 16, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"q": "c + 13", "e": "q + 6", "h": "e + 4", "b": "h + 4", "w": "b + 6", "g": "w + 10", "y": "c + 8", "l": "y + 19", "d": "l + 9", "a": "d + 14", "v": "a + 12", "p": "v + 9", "c": 15}, "premises": {"c": 15}, "target": "g"}, "answer": {"steps": [["w", "b + 6", "b + 16"], ["b", "h + 4", "h + 20"], ["h", "e + 4", "e + 24"], ["e", "q + 6", "q + 30"], ["q", "c + 13", "c + 43"], ["c", 15, "58"]], "target_var_name": "g", "target_value": 58, "value_dict": {"c": 15}, "is_reverse": true}}
| 664
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = c + 13; e = q + 6; p = v + 9; y = c + 8; g = w + 10; h = e + 4; v = a + 12; c = 15; b = h + 4; l = y + 19; w = b + 6; a = d + 14; d = l + 9. If c = 15, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = b + 6 to g, which gives g = b + 16.\n2. Substitute b = h + 4 to g, which gives g = h + 20.\n3. Substitute h = e + 4 to g, which gives g = e + 24.\n4. Substitute e = q + 6 to g, which gives g = q + 30.\n5. Substitute q = c + 13 to g, which gives g = c + 43.\n6. Substitute c = 15 to g, which gives g = 58.\n\nThus, the final answer is g = \\boxed{58}.",
"index": 664,
"question": "Consider a system of variables where each variable is defined as follows: q = c + 13; e = q + 6; p = v + 9; y = c + 8; g = w + 10; h = e + 4; v = a + 12; c = 15; b = h + 4; l = y + 19; w = b + 6; a = d + 14; d = l + 9. If c = 15, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"e": "p + 12", "v": "e + 6", "j": "v + 7", "c": "j + 5", "h": "c + 10", "m": "h + 3", "g": "p + 15", "f": "g + 19", "r": "f + 19", "z": "r + 16", "b": "z + 6", "q": "b + 3", "p": 2}, "premises": {"p": 2}, "target": "m"}, "answer": {"steps": [["h", "c + 10", "c + 13"], ["c", "j + 5", "j + 18"], ["j", "v + 7", "v + 25"], ["v", "e + 6", "e + 31"], ["e", "p + 12", "p + 43"], ["p", 2, "45"]], "target_var_name": "m", "target_value": 45, "value_dict": {"p": 2}, "is_reverse": true}}
| 665
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = z + 6; p = 2; q = b + 3; j = v + 7; f = g + 19; g = p + 15; h = c + 10; z = r + 16; v = e + 6; m = h + 3; r = f + 19; c = j + 5; e = p + 12. Given that p = 2, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 45,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = c + 10 to m, which gives m = c + 13.\n2. Substitute c = j + 5 to m, which gives m = j + 18.\n3. Substitute j = v + 7 to m, which gives m = v + 25.\n4. Substitute v = e + 6 to m, which gives m = e + 31.\n5. Substitute e = p + 12 to m, which gives m = p + 43.\n6. Substitute p = 2 to m, which gives m = 45.\n\nThus, the final answer is m = \\boxed{45}.",
"index": 665,
"question": "Suppose a collection of variables is related by the following definitions: b = z + 6; p = 2; q = b + 3; j = v + 7; f = g + 19; g = p + 15; h = c + 10; z = r + 16; v = e + 6; m = h + 3; r = f + 19; c = j + 5; e = p + 12. Given that p = 2, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"j": "f + 8", "b": "j + 8", "k": "b + 17", "t": "k + 11", "r": "t + 2", "i": "r + 13", "y": "f + 5", "u": "y + 7", "v": "u + 14", "x": "v + 13", "o": "x + 11", "c": "o + 13", "f": 3}, "premises": {"f": 3}, "target": "i"}, "answer": {"steps": [["r", "t + 2", "t + 15"], ["t", "k + 11", "k + 26"], ["k", "b + 17", "b + 43"], ["b", "j + 8", "j + 51"], ["j", "f + 8", "f + 59"], ["f", 3, "62"]], "target_var_name": "i", "target_value": 62, "value_dict": {"f": 3}, "is_reverse": true}}
| 666
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = v + 13; r = t + 2; t = k + 11; b = j + 8; j = f + 8; f = 3; i = r + 13; v = u + 14; y = f + 5; o = x + 11; k = b + 17; u = y + 7; c = o + 13. If f = 3, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = t + 2 to i, which gives i = t + 15.\n2. Substitute t = k + 11 to i, which gives i = k + 26.\n3. Substitute k = b + 17 to i, which gives i = b + 43.\n4. Substitute b = j + 8 to i, which gives i = j + 51.\n5. Substitute j = f + 8 to i, which gives i = f + 59.\n6. Substitute f = 3 to i, which gives i = 62.\n\nThus, the final answer is i = \\boxed{62}.",
"index": 666,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = v + 13; r = t + 2; t = k + 11; b = j + 8; j = f + 8; f = 3; i = r + 13; v = u + 14; y = f + 5; o = x + 11; k = b + 17; u = y + 7; c = o + 13. If f = 3, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"n": "j + 9", "y": "n + 15", "p": "y + 19", "x": "p + 16", "b": "x + 1", "c": "b + 17", "a": "j + 10", "i": "a + 8", "d": "i + 4", "r": "d + 13", "s": "r + 8", "v": "s + 1", "j": 2}, "premises": {"j": 2}, "target": "c"}, "answer": {"steps": [["b", "x + 1", "x + 18"], ["x", "p + 16", "p + 34"], ["p", "y + 19", "y + 53"], ["y", "n + 15", "n + 68"], ["n", "j + 9", "j + 77"], ["j", 2, "79"]], "target_var_name": "c", "target_value": 79, "value_dict": {"j": 2}, "is_reverse": true}}
| 667
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = d + 13; d = i + 4; y = n + 15; x = p + 16; c = b + 17; n = j + 9; a = j + 10; s = r + 8; p = y + 19; i = a + 8; v = s + 1; b = x + 1; j = 2. If j = 2, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = x + 1 to c, which gives c = x + 18.\n2. Substitute x = p + 16 to c, which gives c = p + 34.\n3. Substitute p = y + 19 to c, which gives c = y + 53.\n4. Substitute y = n + 15 to c, which gives c = n + 68.\n5. Substitute n = j + 9 to c, which gives c = j + 77.\n6. Substitute j = 2 to c, which gives c = 79.\n\nThus, the final answer is c = \\boxed{79}.",
"index": 667,
"question": "Consider a system of variables where each variable is defined as follows: r = d + 13; d = i + 4; y = n + 15; x = p + 16; c = b + 17; n = j + 9; a = j + 10; s = r + 8; p = y + 19; i = a + 8; v = s + 1; b = x + 1; j = 2. If j = 2, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"e": "n + 1", "i": "e + 13", "l": "i + 7", "q": "l + 17", "z": "q + 12", "o": "z + 9", "f": "n + 2", "w": "f + 17", "r": "w + 19", "p": "r + 18", "g": "p + 7", "k": "g + 16", "n": 17}, "premises": {"n": 17}, "target": "o"}, "answer": {"steps": [["z", "q + 12", "q + 21"], ["q", "l + 17", "l + 38"], ["l", "i + 7", "i + 45"], ["i", "e + 13", "e + 58"], ["e", "n + 1", "n + 59"], ["n", 17, "76"]], "target_var_name": "o", "target_value": 76, "value_dict": {"n": 17}, "is_reverse": true}}
| 668
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = i + 7; p = r + 18; r = w + 19; i = e + 13; w = f + 17; q = l + 17; n = 17; g = p + 7; k = g + 16; f = n + 2; z = q + 12; e = n + 1; o = z + 9. Given that n = 17, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = q + 12 to o, which gives o = q + 21.\n2. Substitute q = l + 17 to o, which gives o = l + 38.\n3. Substitute l = i + 7 to o, which gives o = i + 45.\n4. Substitute i = e + 13 to o, which gives o = e + 58.\n5. Substitute e = n + 1 to o, which gives o = n + 59.\n6. Substitute n = 17 to o, which gives o = 76.\n\nThus, the final answer is o = \\boxed{76}.",
"index": 668,
"question": "Suppose a collection of variables is related by the following definitions: l = i + 7; p = r + 18; r = w + 19; i = e + 13; w = f + 17; q = l + 17; n = 17; g = p + 7; k = g + 16; f = n + 2; z = q + 12; e = n + 1; o = z + 9. Given that n = 17, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"n": "q + 10", "t": "n + 10", "w": "t + 9", "e": "w + 7", "g": "e + 3", "h": "g + 7", "x": "q + 6", "v": "x + 2", "p": "v + 20", "b": "p + 7", "f": "b + 14", "a": "f + 9", "q": 7}, "premises": {"q": 7}, "target": "h"}, "answer": {"steps": [["g", "e + 3", "e + 10"], ["e", "w + 7", "w + 17"], ["w", "t + 9", "t + 26"], ["t", "n + 10", "n + 36"], ["n", "q + 10", "q + 46"], ["q", 7, "53"]], "target_var_name": "h", "target_value": 53, "value_dict": {"q": 7}, "is_reverse": true}}
| 669
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = q + 10; x = q + 6; q = 7; f = b + 14; t = n + 10; b = p + 7; v = x + 2; p = v + 20; w = t + 9; g = e + 3; h = g + 7; e = w + 7; a = f + 9. Given that q = 7, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = e + 3 to h, which gives h = e + 10.\n2. Substitute e = w + 7 to h, which gives h = w + 17.\n3. Substitute w = t + 9 to h, which gives h = t + 26.\n4. Substitute t = n + 10 to h, which gives h = n + 36.\n5. Substitute n = q + 10 to h, which gives h = q + 46.\n6. Substitute q = 7 to h, which gives h = 53.\n\nThus, the final answer is h = \\boxed{53}.",
"index": 669,
"question": "Suppose a collection of variables is related by the following definitions: n = q + 10; x = q + 6; q = 7; f = b + 14; t = n + 10; b = p + 7; v = x + 2; p = v + 20; w = t + 9; g = e + 3; h = g + 7; e = w + 7; a = f + 9. Given that q = 7, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"p": "i + 11", "e": "p + 2", "k": "e + 17", "a": "k + 9", "h": "a + 16", "r": "h + 1", "b": "i + 9", "z": "b + 6", "g": "z + 9", "o": "g + 4", "u": "o + 18", "s": "u + 10", "i": 17}, "premises": {"i": 17}, "target": "r"}, "answer": {"steps": [["h", "a + 16", "a + 17"], ["a", "k + 9", "k + 26"], ["k", "e + 17", "e + 43"], ["e", "p + 2", "p + 45"], ["p", "i + 11", "i + 56"], ["i", 17, "73"]], "target_var_name": "r", "target_value": 73, "value_dict": {"i": 17}, "is_reverse": true}}
| 670
| 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 = h + 1; p = i + 11; e = p + 2; b = i + 9; o = g + 4; g = z + 9; h = a + 16; k = e + 17; a = k + 9; i = 17; s = u + 10; u = o + 18; z = b + 6. If i = 17, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = a + 16 to r, which gives r = a + 17.\n2. Substitute a = k + 9 to r, which gives r = k + 26.\n3. Substitute k = e + 17 to r, which gives r = e + 43.\n4. Substitute e = p + 2 to r, which gives r = p + 45.\n5. Substitute p = i + 11 to r, which gives r = i + 56.\n6. Substitute i = 17 to r, which gives r = 73.\n\nThus, the final answer is r = \\boxed{73}.",
"index": 670,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = h + 1; p = i + 11; e = p + 2; b = i + 9; o = g + 4; g = z + 9; h = a + 16; k = e + 17; a = k + 9; i = 17; s = u + 10; u = o + 18; z = b + 6. If i = 17, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"z": "m + 11", "b": "z + 20", "y": "b + 13", "u": "y + 15", "j": "u + 7", "l": "j + 17", "e": "m + 17", "v": "e + 17", "o": "v + 15", "s": "o + 4", "w": "s + 11", "d": "w + 18", "m": 11}, "premises": {"m": 11}, "target": "l"}, "answer": {"steps": [["j", "u + 7", "u + 24"], ["u", "y + 15", "y + 39"], ["y", "b + 13", "b + 52"], ["b", "z + 20", "z + 72"], ["z", "m + 11", "m + 83"], ["m", 11, "94"]], "target_var_name": "l", "target_value": 94, "value_dict": {"m": 11}, "is_reverse": true}}
| 671
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = m + 11; j = u + 7; m = 11; y = b + 13; e = m + 17; s = o + 4; u = y + 15; b = z + 20; v = e + 17; l = j + 17; o = v + 15; d = w + 18; w = s + 11. If m = 11, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = u + 7 to l, which gives l = u + 24.\n2. Substitute u = y + 15 to l, which gives l = y + 39.\n3. Substitute y = b + 13 to l, which gives l = b + 52.\n4. Substitute b = z + 20 to l, which gives l = z + 72.\n5. Substitute z = m + 11 to l, which gives l = m + 83.\n6. Substitute m = 11 to l, which gives l = 94.\n\nThus, the final answer is l = \\boxed{94}.",
"index": 671,
"question": "Consider a system of variables where each variable is defined as follows: z = m + 11; j = u + 7; m = 11; y = b + 13; e = m + 17; s = o + 4; u = y + 15; b = z + 20; v = e + 17; l = j + 17; o = v + 15; d = w + 18; w = s + 11. If m = 11, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"v": "d + 16", "c": "v + 2", "g": "c + 3", "p": "g + 7", "q": "p + 8", "b": "q + 12", "z": "d + 15", "i": "z + 6", "x": "i + 10", "n": "x + 5", "f": "n + 15", "s": "f + 13", "d": 18}, "premises": {"d": 18}, "target": "b"}, "answer": {"steps": [["q", "p + 8", "p + 20"], ["p", "g + 7", "g + 27"], ["g", "c + 3", "c + 30"], ["c", "v + 2", "v + 32"], ["v", "d + 16", "d + 48"], ["d", 18, "66"]], "target_var_name": "b", "target_value": 66, "value_dict": {"d": 18}, "is_reverse": true}}
| 672
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = i + 10; c = v + 2; p = g + 7; g = c + 3; f = n + 15; s = f + 13; d = 18; i = z + 6; z = d + 15; b = q + 12; v = d + 16; q = p + 8; n = x + 5. Given that d = 18, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = p + 8 to b, which gives b = p + 20.\n2. Substitute p = g + 7 to b, which gives b = g + 27.\n3. Substitute g = c + 3 to b, which gives b = c + 30.\n4. Substitute c = v + 2 to b, which gives b = v + 32.\n5. Substitute v = d + 16 to b, which gives b = d + 48.\n6. Substitute d = 18 to b, which gives b = 66.\n\nThus, the final answer is b = \\boxed{66}.",
"index": 672,
"question": "Suppose a collection of variables is related by the following definitions: x = i + 10; c = v + 2; p = g + 7; g = c + 3; f = n + 15; s = f + 13; d = 18; i = z + 6; z = d + 15; b = q + 12; v = d + 16; q = p + 8; n = x + 5. Given that d = 18, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"w": "p + 18", "f": "w + 3", "y": "f + 16", "b": "y + 15", "c": "b + 6", "u": "c + 3", "d": "p + 4", "s": "d + 12", "o": "s + 20", "k": "o + 7", "g": "k + 1", "l": "g + 14", "p": 12}, "premises": {"p": 12}, "target": "u"}, "answer": {"steps": [["c", "b + 6", "b + 9"], ["b", "y + 15", "y + 24"], ["y", "f + 16", "f + 40"], ["f", "w + 3", "w + 43"], ["w", "p + 18", "p + 61"], ["p", 12, "73"]], "target_var_name": "u", "target_value": 73, "value_dict": {"p": 12}, "is_reverse": true}}
| 673
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = c + 3; f = w + 3; b = y + 15; c = b + 6; p = 12; s = d + 12; o = s + 20; d = p + 4; k = o + 7; y = f + 16; l = g + 14; g = k + 1; w = p + 18. Given that p = 12, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = b + 6 to u, which gives u = b + 9.\n2. Substitute b = y + 15 to u, which gives u = y + 24.\n3. Substitute y = f + 16 to u, which gives u = f + 40.\n4. Substitute f = w + 3 to u, which gives u = w + 43.\n5. Substitute w = p + 18 to u, which gives u = p + 61.\n6. Substitute p = 12 to u, which gives u = 73.\n\nThus, the final answer is u = \\boxed{73}.",
"index": 673,
"question": "Suppose a collection of variables is related by the following definitions: u = c + 3; f = w + 3; b = y + 15; c = b + 6; p = 12; s = d + 12; o = s + 20; d = p + 4; k = o + 7; y = f + 16; l = g + 14; g = k + 1; w = p + 18. Given that p = 12, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"v": "x + 3", "e": "v + 16", "f": "e + 5", "w": "f + 10", "r": "w + 13", "b": "r + 14", "t": "x + 10", "k": "t + 8", "s": "k + 11", "p": "s + 5", "u": "p + 4", "c": "u + 18", "x": 15}, "premises": {"x": 15}, "target": "b"}, "answer": {"steps": [["r", "w + 13", "w + 27"], ["w", "f + 10", "f + 37"], ["f", "e + 5", "e + 42"], ["e", "v + 16", "v + 58"], ["v", "x + 3", "x + 61"], ["x", 15, "76"]], "target_var_name": "b", "target_value": 76, "value_dict": {"x": 15}, "is_reverse": true}}
| 674
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = t + 8; r = w + 13; s = k + 11; e = v + 16; f = e + 5; u = p + 4; v = x + 3; x = 15; b = r + 14; t = x + 10; w = f + 10; p = s + 5; c = u + 18. If x = 15, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = w + 13 to b, which gives b = w + 27.\n2. Substitute w = f + 10 to b, which gives b = f + 37.\n3. Substitute f = e + 5 to b, which gives b = e + 42.\n4. Substitute e = v + 16 to b, which gives b = v + 58.\n5. Substitute v = x + 3 to b, which gives b = x + 61.\n6. Substitute x = 15 to b, which gives b = 76.\n\nThus, the final answer is b = \\boxed{76}.",
"index": 674,
"question": "Consider a system of variables where each variable is defined as follows: k = t + 8; r = w + 13; s = k + 11; e = v + 16; f = e + 5; u = p + 4; v = x + 3; x = 15; b = r + 14; t = x + 10; w = f + 10; p = s + 5; c = u + 18. If x = 15, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"a": "x + 9", "t": "a + 9", "f": "t + 8", "p": "f + 10", "z": "p + 4", "d": "z + 19", "j": "x + 2", "w": "j + 2", "b": "w + 7", "k": "b + 4", "e": "k + 5", "s": "e + 19", "x": 13}, "premises": {"x": 13}, "target": "d"}, "answer": {"steps": [["z", "p + 4", "p + 23"], ["p", "f + 10", "f + 33"], ["f", "t + 8", "t + 41"], ["t", "a + 9", "a + 50"], ["a", "x + 9", "x + 59"], ["x", 13, "72"]], "target_var_name": "d", "target_value": 72, "value_dict": {"x": 13}, "is_reverse": true}}
| 675
| 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 + 4; d = z + 19; b = w + 7; w = j + 2; t = a + 9; e = k + 5; f = t + 8; a = x + 9; s = e + 19; j = x + 2; z = p + 4; x = 13; p = f + 10. If x = 13, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = p + 4 to d, which gives d = p + 23.\n2. Substitute p = f + 10 to d, which gives d = f + 33.\n3. Substitute f = t + 8 to d, which gives d = t + 41.\n4. Substitute t = a + 9 to d, which gives d = a + 50.\n5. Substitute a = x + 9 to d, which gives d = x + 59.\n6. Substitute x = 13 to d, which gives d = 72.\n\nThus, the final answer is d = \\boxed{72}.",
"index": 675,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = b + 4; d = z + 19; b = w + 7; w = j + 2; t = a + 9; e = k + 5; f = t + 8; a = x + 9; s = e + 19; j = x + 2; z = p + 4; x = 13; p = f + 10. If x = 13, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"n": "w + 12", "k": "n + 7", "m": "k + 2", "b": "m + 14", "l": "b + 10", "i": "l + 3", "c": "w + 3", "z": "c + 20", "f": "z + 11", "r": "f + 12", "x": "r + 11", "s": "x + 5", "w": 13}, "premises": {"w": 13}, "target": "i"}, "answer": {"steps": [["l", "b + 10", "b + 13"], ["b", "m + 14", "m + 27"], ["m", "k + 2", "k + 29"], ["k", "n + 7", "n + 36"], ["n", "w + 12", "w + 48"], ["w", 13, "61"]], "target_var_name": "i", "target_value": 61, "value_dict": {"w": 13}, "is_reverse": true}}
| 676
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = 13; f = z + 11; i = l + 3; b = m + 14; x = r + 11; l = b + 10; m = k + 2; c = w + 3; n = w + 12; z = c + 20; k = n + 7; s = x + 5; r = f + 12. If w = 13, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = b + 10 to i, which gives i = b + 13.\n2. Substitute b = m + 14 to i, which gives i = m + 27.\n3. Substitute m = k + 2 to i, which gives i = k + 29.\n4. Substitute k = n + 7 to i, which gives i = n + 36.\n5. Substitute n = w + 12 to i, which gives i = w + 48.\n6. Substitute w = 13 to i, which gives i = 61.\n\nThus, the final answer is i = \\boxed{61}.",
"index": 676,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = 13; f = z + 11; i = l + 3; b = m + 14; x = r + 11; l = b + 10; m = k + 2; c = w + 3; n = w + 12; z = c + 20; k = n + 7; s = x + 5; r = f + 12. If w = 13, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"w": "z + 11", "f": "w + 17", "h": "f + 6", "q": "h + 1", "s": "q + 19", "p": "s + 7", "r": "z + 5", "v": "r + 10", "x": "v + 18", "g": "x + 2", "u": "g + 15", "i": "u + 2", "z": 1}, "premises": {"z": 1}, "target": "p"}, "answer": {"steps": [["s", "q + 19", "q + 26"], ["q", "h + 1", "h + 27"], ["h", "f + 6", "f + 33"], ["f", "w + 17", "w + 50"], ["w", "z + 11", "z + 61"], ["z", 1, "62"]], "target_var_name": "p", "target_value": 62, "value_dict": {"z": 1}, "is_reverse": true}}
| 677
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = h + 1; g = x + 2; v = r + 10; w = z + 11; x = v + 18; p = s + 7; r = z + 5; z = 1; h = f + 6; f = w + 17; u = g + 15; s = q + 19; i = u + 2. Given that z = 1, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = q + 19 to p, which gives p = q + 26.\n2. Substitute q = h + 1 to p, which gives p = h + 27.\n3. Substitute h = f + 6 to p, which gives p = f + 33.\n4. Substitute f = w + 17 to p, which gives p = w + 50.\n5. Substitute w = z + 11 to p, which gives p = z + 61.\n6. Substitute z = 1 to p, which gives p = 62.\n\nThus, the final answer is p = \\boxed{62}.",
"index": 677,
"question": "Suppose a collection of variables is related by the following definitions: q = h + 1; g = x + 2; v = r + 10; w = z + 11; x = v + 18; p = s + 7; r = z + 5; z = 1; h = f + 6; f = w + 17; u = g + 15; s = q + 19; i = u + 2. Given that z = 1, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"j": "f + 19", "w": "j + 20", "b": "w + 3", "v": "b + 12", "k": "v + 20", "h": "k + 4", "u": "f + 9", "z": "u + 15", "l": "z + 1", "o": "l + 11", "x": "o + 16", "q": "x + 7", "f": 17}, "premises": {"f": 17}, "target": "h"}, "answer": {"steps": [["k", "v + 20", "v + 24"], ["v", "b + 12", "b + 36"], ["b", "w + 3", "w + 39"], ["w", "j + 20", "j + 59"], ["j", "f + 19", "f + 78"], ["f", 17, "95"]], "target_var_name": "h", "target_value": 95, "value_dict": {"f": 17}, "is_reverse": true}}
| 678
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = f + 19; q = x + 7; v = b + 12; l = z + 1; u = f + 9; z = u + 15; x = o + 16; k = v + 20; h = k + 4; b = w + 3; w = j + 20; o = l + 11; f = 17. Given that f = 17, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = v + 20 to h, which gives h = v + 24.\n2. Substitute v = b + 12 to h, which gives h = b + 36.\n3. Substitute b = w + 3 to h, which gives h = w + 39.\n4. Substitute w = j + 20 to h, which gives h = j + 59.\n5. Substitute j = f + 19 to h, which gives h = f + 78.\n6. Substitute f = 17 to h, which gives h = 95.\n\nThus, the final answer is h = \\boxed{95}.",
"index": 678,
"question": "Suppose a collection of variables is related by the following definitions: j = f + 19; q = x + 7; v = b + 12; l = z + 1; u = f + 9; z = u + 15; x = o + 16; k = v + 20; h = k + 4; b = w + 3; w = j + 20; o = l + 11; f = 17. Given that f = 17, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"s": "u + 17", "v": "s + 20", "l": "v + 14", "j": "l + 7", "w": "j + 11", "t": "w + 11", "c": "u + 18", "k": "c + 12", "i": "k + 16", "e": "i + 17", "p": "e + 3", "d": "p + 4", "u": 13}, "premises": {"u": 13}, "target": "t"}, "answer": {"steps": [["w", "j + 11", "j + 22"], ["j", "l + 7", "l + 29"], ["l", "v + 14", "v + 43"], ["v", "s + 20", "s + 63"], ["s", "u + 17", "u + 80"], ["u", 13, "93"]], "target_var_name": "t", "target_value": 93, "value_dict": {"u": 13}, "is_reverse": true}}
| 679
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = 13; w = j + 11; j = l + 7; i = k + 16; t = w + 11; k = c + 12; e = i + 17; p = e + 3; v = s + 20; s = u + 17; l = v + 14; c = u + 18; d = p + 4. If u = 13, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = j + 11 to t, which gives t = j + 22.\n2. Substitute j = l + 7 to t, which gives t = l + 29.\n3. Substitute l = v + 14 to t, which gives t = v + 43.\n4. Substitute v = s + 20 to t, which gives t = s + 63.\n5. Substitute s = u + 17 to t, which gives t = u + 80.\n6. Substitute u = 13 to t, which gives t = 93.\n\nThus, the final answer is t = \\boxed{93}.",
"index": 679,
"question": "Consider a system of variables where each variable is defined as follows: u = 13; w = j + 11; j = l + 7; i = k + 16; t = w + 11; k = c + 12; e = i + 17; p = e + 3; v = s + 20; s = u + 17; l = v + 14; c = u + 18; d = p + 4. If u = 13, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"k": "a + 4", "g": "k + 16", "t": "g + 19", "p": "t + 20", "e": "p + 16", "s": "e + 3", "l": "a + 4", "z": "l + 1", "u": "z + 17", "q": "u + 16", "m": "q + 8", "v": "m + 19", "a": 1}, "premises": {"a": 1}, "target": "s"}, "answer": {"steps": [["e", "p + 16", "p + 19"], ["p", "t + 20", "t + 39"], ["t", "g + 19", "g + 58"], ["g", "k + 16", "k + 74"], ["k", "a + 4", "a + 78"], ["a", 1, "79"]], "target_var_name": "s", "target_value": 79, "value_dict": {"a": 1}, "is_reverse": true}}
| 680
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = g + 19; v = m + 19; k = a + 4; l = a + 4; p = t + 20; e = p + 16; u = z + 17; a = 1; g = k + 16; m = q + 8; z = l + 1; q = u + 16; s = e + 3. Given that a = 1, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = p + 16 to s, which gives s = p + 19.\n2. Substitute p = t + 20 to s, which gives s = t + 39.\n3. Substitute t = g + 19 to s, which gives s = g + 58.\n4. Substitute g = k + 16 to s, which gives s = k + 74.\n5. Substitute k = a + 4 to s, which gives s = a + 78.\n6. Substitute a = 1 to s, which gives s = 79.\n\nThus, the final answer is s = \\boxed{79}.",
"index": 680,
"question": "Suppose a collection of variables is related by the following definitions: t = g + 19; v = m + 19; k = a + 4; l = a + 4; p = t + 20; e = p + 16; u = z + 17; a = 1; g = k + 16; m = q + 8; z = l + 1; q = u + 16; s = e + 3. Given that a = 1, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"u": "f + 5", "y": "u + 1", "k": "y + 15", "b": "k + 6", "v": "b + 1", "w": "v + 18", "m": "f + 3", "p": "m + 4", "d": "p + 13", "q": "d + 9", "r": "q + 18", "z": "r + 15", "f": 15}, "premises": {"f": 15}, "target": "w"}, "answer": {"steps": [["v", "b + 1", "b + 19"], ["b", "k + 6", "k + 25"], ["k", "y + 15", "y + 40"], ["y", "u + 1", "u + 41"], ["u", "f + 5", "f + 46"], ["f", 15, "61"]], "target_var_name": "w", "target_value": 61, "value_dict": {"f": 15}, "is_reverse": true}}
| 681
| 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 = d + 9; v = b + 1; r = q + 18; w = v + 18; y = u + 1; d = p + 13; p = m + 4; m = f + 3; b = k + 6; k = y + 15; f = 15; u = f + 5; z = r + 15. If f = 15, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = b + 1 to w, which gives w = b + 19.\n2. Substitute b = k + 6 to w, which gives w = k + 25.\n3. Substitute k = y + 15 to w, which gives w = y + 40.\n4. Substitute y = u + 1 to w, which gives w = u + 41.\n5. Substitute u = f + 5 to w, which gives w = f + 46.\n6. Substitute f = 15 to w, which gives w = 61.\n\nThus, the final answer is w = \\boxed{61}.",
"index": 681,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = d + 9; v = b + 1; r = q + 18; w = v + 18; y = u + 1; d = p + 13; p = m + 4; m = f + 3; b = k + 6; k = y + 15; f = 15; u = f + 5; z = r + 15. If f = 15, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"p": "o + 17", "q": "p + 8", "r": "q + 2", "c": "r + 15", "n": "c + 10", "g": "n + 14", "h": "o + 7", "t": "h + 9", "i": "t + 5", "l": "i + 15", "f": "l + 5", "a": "f + 9", "o": 15}, "premises": {"o": 15}, "target": "g"}, "answer": {"steps": [["n", "c + 10", "c + 24"], ["c", "r + 15", "r + 39"], ["r", "q + 2", "q + 41"], ["q", "p + 8", "p + 49"], ["p", "o + 17", "o + 66"], ["o", 15, "81"]], "target_var_name": "g", "target_value": 81, "value_dict": {"o": 15}, "is_reverse": true}}
| 682
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = t + 5; a = f + 9; l = i + 15; g = n + 14; t = h + 9; r = q + 2; q = p + 8; f = l + 5; o = 15; p = o + 17; h = o + 7; c = r + 15; n = c + 10. If o = 15, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = c + 10 to g, which gives g = c + 24.\n2. Substitute c = r + 15 to g, which gives g = r + 39.\n3. Substitute r = q + 2 to g, which gives g = q + 41.\n4. Substitute q = p + 8 to g, which gives g = p + 49.\n5. Substitute p = o + 17 to g, which gives g = o + 66.\n6. Substitute o = 15 to g, which gives g = 81.\n\nThus, the final answer is g = \\boxed{81}.",
"index": 682,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = t + 5; a = f + 9; l = i + 15; g = n + 14; t = h + 9; r = q + 2; q = p + 8; f = l + 5; o = 15; p = o + 17; h = o + 7; c = r + 15; n = c + 10. If o = 15, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"m": "x + 7", "y": "m + 3", "q": "y + 13", "r": "q + 13", "d": "r + 20", "s": "d + 11", "i": "x + 8", "z": "i + 15", "h": "z + 3", "l": "h + 1", "o": "l + 14", "j": "o + 4", "x": 17}, "premises": {"x": 17}, "target": "s"}, "answer": {"steps": [["d", "r + 20", "r + 31"], ["r", "q + 13", "q + 44"], ["q", "y + 13", "y + 57"], ["y", "m + 3", "m + 60"], ["m", "x + 7", "x + 67"], ["x", 17, "84"]], "target_var_name": "s", "target_value": 84, "value_dict": {"x": 17}, "is_reverse": true}}
| 683
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = 17; j = o + 4; i = x + 8; y = m + 3; z = i + 15; h = z + 3; r = q + 13; d = r + 20; q = y + 13; l = h + 1; m = x + 7; s = d + 11; o = l + 14. Given that x = 17, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = r + 20 to s, which gives s = r + 31.\n2. Substitute r = q + 13 to s, which gives s = q + 44.\n3. Substitute q = y + 13 to s, which gives s = y + 57.\n4. Substitute y = m + 3 to s, which gives s = m + 60.\n5. Substitute m = x + 7 to s, which gives s = x + 67.\n6. Substitute x = 17 to s, which gives s = 84.\n\nThus, the final answer is s = \\boxed{84}.",
"index": 683,
"question": "Suppose a collection of variables is related by the following definitions: x = 17; j = o + 4; i = x + 8; y = m + 3; z = i + 15; h = z + 3; r = q + 13; d = r + 20; q = y + 13; l = h + 1; m = x + 7; s = d + 11; o = l + 14. Given that x = 17, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"z": "e + 9", "l": "z + 10", "k": "l + 13", "v": "k + 1", "b": "v + 15", "r": "b + 19", "a": "e + 6", "q": "a + 11", "o": "q + 10", "s": "o + 12", "y": "s + 6", "h": "y + 15", "e": 4}, "premises": {"e": 4}, "target": "r"}, "answer": {"steps": [["b", "v + 15", "v + 34"], ["v", "k + 1", "k + 35"], ["k", "l + 13", "l + 48"], ["l", "z + 10", "z + 58"], ["z", "e + 9", "e + 67"], ["e", 4, "71"]], "target_var_name": "r", "target_value": 71, "value_dict": {"e": 4}, "is_reverse": true}}
| 684
| 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 = l + 13; l = z + 10; q = a + 11; s = o + 12; o = q + 10; y = s + 6; a = e + 6; z = e + 9; h = y + 15; r = b + 19; b = v + 15; e = 4; v = k + 1. If e = 4, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = v + 15 to r, which gives r = v + 34.\n2. Substitute v = k + 1 to r, which gives r = k + 35.\n3. Substitute k = l + 13 to r, which gives r = l + 48.\n4. Substitute l = z + 10 to r, which gives r = z + 58.\n5. Substitute z = e + 9 to r, which gives r = e + 67.\n6. Substitute e = 4 to r, which gives r = 71.\n\nThus, the final answer is r = \\boxed{71}.",
"index": 684,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = l + 13; l = z + 10; q = a + 11; s = o + 12; o = q + 10; y = s + 6; a = e + 6; z = e + 9; h = y + 15; r = b + 19; b = v + 15; e = 4; v = k + 1. If e = 4, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"j": "c + 8", "m": "j + 18", "t": "m + 12", "f": "t + 10", "w": "f + 8", "r": "w + 9", "x": "c + 13", "z": "x + 2", "n": "z + 10", "g": "n + 7", "v": "g + 1", "i": "v + 4", "c": 17}, "premises": {"c": 17}, "target": "r"}, "answer": {"steps": [["w", "f + 8", "f + 17"], ["f", "t + 10", "t + 27"], ["t", "m + 12", "m + 39"], ["m", "j + 18", "j + 57"], ["j", "c + 8", "c + 65"], ["c", 17, "82"]], "target_var_name": "r", "target_value": 82, "value_dict": {"c": 17}, "is_reverse": true}}
| 685
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = w + 9; i = v + 4; n = z + 10; j = c + 8; z = x + 2; t = m + 12; m = j + 18; g = n + 7; f = t + 10; c = 17; v = g + 1; w = f + 8; x = c + 13. Given that c = 17, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = f + 8 to r, which gives r = f + 17.\n2. Substitute f = t + 10 to r, which gives r = t + 27.\n3. Substitute t = m + 12 to r, which gives r = m + 39.\n4. Substitute m = j + 18 to r, which gives r = j + 57.\n5. Substitute j = c + 8 to r, which gives r = c + 65.\n6. Substitute c = 17 to r, which gives r = 82.\n\nThus, the final answer is r = \\boxed{82}.",
"index": 685,
"question": "Suppose a collection of variables is related by the following definitions: r = w + 9; i = v + 4; n = z + 10; j = c + 8; z = x + 2; t = m + 12; m = j + 18; g = n + 7; f = t + 10; c = 17; v = g + 1; w = f + 8; x = c + 13. Given that c = 17, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"j": "m + 11", "d": "j + 16", "x": "d + 4", "i": "x + 7", "z": "i + 9", "o": "z + 1", "a": "m + 11", "f": "a + 10", "n": "f + 20", "w": "n + 4", "b": "w + 11", "h": "b + 18", "m": 14}, "premises": {"m": 14}, "target": "o"}, "answer": {"steps": [["z", "i + 9", "i + 10"], ["i", "x + 7", "x + 17"], ["x", "d + 4", "d + 21"], ["d", "j + 16", "j + 37"], ["j", "m + 11", "m + 48"], ["m", 14, "62"]], "target_var_name": "o", "target_value": 62, "value_dict": {"m": 14}, "is_reverse": true}}
| 686
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = j + 16; j = m + 11; h = b + 18; f = a + 10; m = 14; x = d + 4; z = i + 9; i = x + 7; a = m + 11; o = z + 1; b = w + 11; n = f + 20; w = n + 4. If m = 14, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = i + 9 to o, which gives o = i + 10.\n2. Substitute i = x + 7 to o, which gives o = x + 17.\n3. Substitute x = d + 4 to o, which gives o = d + 21.\n4. Substitute d = j + 16 to o, which gives o = j + 37.\n5. Substitute j = m + 11 to o, which gives o = m + 48.\n6. Substitute m = 14 to o, which gives o = 62.\n\nThus, the final answer is o = \\boxed{62}.",
"index": 686,
"question": "Consider a system of variables where each variable is defined as follows: d = j + 16; j = m + 11; h = b + 18; f = a + 10; m = 14; x = d + 4; z = i + 9; i = x + 7; a = m + 11; o = z + 1; b = w + 11; n = f + 20; w = n + 4. If m = 14, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"r": "d + 18", "q": "r + 9", "t": "q + 16", "z": "t + 10", "p": "z + 12", "h": "p + 19", "w": "d + 9", "u": "w + 17", "j": "u + 10", "k": "j + 4", "i": "k + 7", "f": "i + 17", "d": 9}, "premises": {"d": 9}, "target": "h"}, "answer": {"steps": [["p", "z + 12", "z + 31"], ["z", "t + 10", "t + 41"], ["t", "q + 16", "q + 57"], ["q", "r + 9", "r + 66"], ["r", "d + 18", "d + 84"], ["d", 9, "93"]], "target_var_name": "h", "target_value": 93, "value_dict": {"d": 9}, "is_reverse": true}}
| 687
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = i + 17; d = 9; t = q + 16; h = p + 19; j = u + 10; z = t + 10; i = k + 7; r = d + 18; k = j + 4; u = w + 17; p = z + 12; w = d + 9; q = r + 9. If d = 9, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = z + 12 to h, which gives h = z + 31.\n2. Substitute z = t + 10 to h, which gives h = t + 41.\n3. Substitute t = q + 16 to h, which gives h = q + 57.\n4. Substitute q = r + 9 to h, which gives h = r + 66.\n5. Substitute r = d + 18 to h, which gives h = d + 84.\n6. Substitute d = 9 to h, which gives h = 93.\n\nThus, the final answer is h = \\boxed{93}.",
"index": 687,
"question": "Consider a system of variables where each variable is defined as follows: f = i + 17; d = 9; t = q + 16; h = p + 19; j = u + 10; z = t + 10; i = k + 7; r = d + 18; k = j + 4; u = w + 17; p = z + 12; w = d + 9; q = r + 9. If d = 9, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"i": "j + 12", "u": "i + 11", "t": "u + 12", "z": "t + 11", "q": "z + 17", "d": "q + 16", "e": "j + 1", "x": "e + 8", "h": "x + 12", "s": "h + 10", "p": "s + 18", "a": "p + 7", "j": 12}, "premises": {"j": 12}, "target": "d"}, "answer": {"steps": [["q", "z + 17", "z + 33"], ["z", "t + 11", "t + 44"], ["t", "u + 12", "u + 56"], ["u", "i + 11", "i + 67"], ["i", "j + 12", "j + 79"], ["j", 12, "91"]], "target_var_name": "d", "target_value": 91, "value_dict": {"j": 12}, "is_reverse": true}}
| 688
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = q + 16; a = p + 7; z = t + 11; s = h + 10; e = j + 1; x = e + 8; j = 12; t = u + 12; q = z + 17; h = x + 12; p = s + 18; i = j + 12; u = i + 11. If j = 12, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = z + 17 to d, which gives d = z + 33.\n2. Substitute z = t + 11 to d, which gives d = t + 44.\n3. Substitute t = u + 12 to d, which gives d = u + 56.\n4. Substitute u = i + 11 to d, which gives d = i + 67.\n5. Substitute i = j + 12 to d, which gives d = j + 79.\n6. Substitute j = 12 to d, which gives d = 91.\n\nThus, the final answer is d = \\boxed{91}.",
"index": 688,
"question": "Consider a system of variables where each variable is defined as follows: d = q + 16; a = p + 7; z = t + 11; s = h + 10; e = j + 1; x = e + 8; j = 12; t = u + 12; q = z + 17; h = x + 12; p = s + 18; i = j + 12; u = i + 11. If j = 12, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"v": "a + 17", "o": "v + 6", "i": "o + 8", "n": "i + 10", "y": "n + 4", "s": "y + 19", "t": "a + 13", "l": "t + 15", "q": "l + 18", "z": "q + 6", "f": "z + 17", "m": "f + 11", "a": 17}, "premises": {"a": 17}, "target": "s"}, "answer": {"steps": [["y", "n + 4", "n + 23"], ["n", "i + 10", "i + 33"], ["i", "o + 8", "o + 41"], ["o", "v + 6", "v + 47"], ["v", "a + 17", "a + 64"], ["a", 17, "81"]], "target_var_name": "s", "target_value": 81, "value_dict": {"a": 17}, "is_reverse": true}}
| 689
| 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 = q + 6; f = z + 17; n = i + 10; t = a + 13; m = f + 11; i = o + 8; y = n + 4; o = v + 6; q = l + 18; l = t + 15; a = 17; s = y + 19; v = a + 17. If a = 17, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = n + 4 to s, which gives s = n + 23.\n2. Substitute n = i + 10 to s, which gives s = i + 33.\n3. Substitute i = o + 8 to s, which gives s = o + 41.\n4. Substitute o = v + 6 to s, which gives s = v + 47.\n5. Substitute v = a + 17 to s, which gives s = a + 64.\n6. Substitute a = 17 to s, which gives s = 81.\n\nThus, the final answer is s = \\boxed{81}.",
"index": 689,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = q + 6; f = z + 17; n = i + 10; t = a + 13; m = f + 11; i = o + 8; y = n + 4; o = v + 6; q = l + 18; l = t + 15; a = 17; s = y + 19; v = a + 17. If a = 17, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"w": "u + 10", "m": "w + 12", "g": "m + 15", "v": "g + 17", "c": "v + 3", "k": "c + 3", "d": "u + 8", "n": "d + 17", "o": "n + 12", "e": "o + 7", "p": "e + 8", "a": "p + 1", "u": 1}, "premises": {"u": 1}, "target": "k"}, "answer": {"steps": [["c", "v + 3", "v + 6"], ["v", "g + 17", "g + 23"], ["g", "m + 15", "m + 38"], ["m", "w + 12", "w + 50"], ["w", "u + 10", "u + 60"], ["u", 1, "61"]], "target_var_name": "k", "target_value": 61, "value_dict": {"u": 1}, "is_reverse": true}}
| 690
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = u + 10; o = n + 12; e = o + 7; u = 1; n = d + 17; p = e + 8; m = w + 12; v = g + 17; c = v + 3; a = p + 1; g = m + 15; k = c + 3; d = u + 8. Given that u = 1, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = v + 3 to k, which gives k = v + 6.\n2. Substitute v = g + 17 to k, which gives k = g + 23.\n3. Substitute g = m + 15 to k, which gives k = m + 38.\n4. Substitute m = w + 12 to k, which gives k = w + 50.\n5. Substitute w = u + 10 to k, which gives k = u + 60.\n6. Substitute u = 1 to k, which gives k = 61.\n\nThus, the final answer is k = \\boxed{61}.",
"index": 690,
"question": "Suppose a collection of variables is related by the following definitions: w = u + 10; o = n + 12; e = o + 7; u = 1; n = d + 17; p = e + 8; m = w + 12; v = g + 17; c = v + 3; a = p + 1; g = m + 15; k = c + 3; d = u + 8. Given that u = 1, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"j": "c + 13", "x": "j + 16", "r": "x + 20", "n": "r + 10", "p": "n + 6", "d": "p + 11", "a": "c + 2", "l": "a + 6", "u": "l + 15", "h": "u + 20", "k": "h + 11", "m": "k + 13", "c": 1}, "premises": {"c": 1}, "target": "d"}, "answer": {"steps": [["p", "n + 6", "n + 17"], ["n", "r + 10", "r + 27"], ["r", "x + 20", "x + 47"], ["x", "j + 16", "j + 63"], ["j", "c + 13", "c + 76"], ["c", 1, "77"]], "target_var_name": "d", "target_value": 77, "value_dict": {"c": 1}, "is_reverse": true}}
| 691
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = r + 10; d = p + 11; h = u + 20; p = n + 6; m = k + 13; l = a + 6; r = x + 20; x = j + 16; k = h + 11; u = l + 15; j = c + 13; c = 1; a = c + 2. Given that c = 1, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = n + 6 to d, which gives d = n + 17.\n2. Substitute n = r + 10 to d, which gives d = r + 27.\n3. Substitute r = x + 20 to d, which gives d = x + 47.\n4. Substitute x = j + 16 to d, which gives d = j + 63.\n5. Substitute j = c + 13 to d, which gives d = c + 76.\n6. Substitute c = 1 to d, which gives d = 77.\n\nThus, the final answer is d = \\boxed{77}.",
"index": 691,
"question": "Suppose a collection of variables is related by the following definitions: n = r + 10; d = p + 11; h = u + 20; p = n + 6; m = k + 13; l = a + 6; r = x + 20; x = j + 16; k = h + 11; u = l + 15; j = c + 13; c = 1; a = c + 2. Given that c = 1, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"z": "a + 5", "j": "z + 18", "s": "j + 18", "y": "s + 1", "x": "y + 8", "r": "x + 8", "n": "a + 9", "e": "n + 19", "w": "e + 11", "b": "w + 5", "c": "b + 15", "h": "c + 11", "a": 6}, "premises": {"a": 6}, "target": "r"}, "answer": {"steps": [["x", "y + 8", "y + 16"], ["y", "s + 1", "s + 17"], ["s", "j + 18", "j + 35"], ["j", "z + 18", "z + 53"], ["z", "a + 5", "a + 58"], ["a", 6, "64"]], "target_var_name": "r", "target_value": 64, "value_dict": {"a": 6}, "is_reverse": true}}
| 692
| 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 = s + 1; a = 6; c = b + 15; s = j + 18; n = a + 9; b = w + 5; r = x + 8; z = a + 5; x = y + 8; w = e + 11; j = z + 18; e = n + 19; h = c + 11. If a = 6, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = y + 8 to r, which gives r = y + 16.\n2. Substitute y = s + 1 to r, which gives r = s + 17.\n3. Substitute s = j + 18 to r, which gives r = j + 35.\n4. Substitute j = z + 18 to r, which gives r = z + 53.\n5. Substitute z = a + 5 to r, which gives r = a + 58.\n6. Substitute a = 6 to r, which gives r = 64.\n\nThus, the final answer is r = \\boxed{64}.",
"index": 692,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = s + 1; a = 6; c = b + 15; s = j + 18; n = a + 9; b = w + 5; r = x + 8; z = a + 5; x = y + 8; w = e + 11; j = z + 18; e = n + 19; h = c + 11. If a = 6, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"x": "n + 15", "s": "x + 1", "e": "s + 11", "v": "e + 3", "p": "v + 2", "j": "p + 14", "i": "n + 6", "k": "i + 10", "f": "k + 6", "w": "f + 2", "y": "w + 17", "g": "y + 6", "n": 19}, "premises": {"n": 19}, "target": "j"}, "answer": {"steps": [["p", "v + 2", "v + 16"], ["v", "e + 3", "e + 19"], ["e", "s + 11", "s + 30"], ["s", "x + 1", "x + 31"], ["x", "n + 15", "n + 46"], ["n", 19, "65"]], "target_var_name": "j", "target_value": 65, "value_dict": {"n": 19}, "is_reverse": true}}
| 693
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = f + 2; f = k + 6; i = n + 6; p = v + 2; s = x + 1; g = y + 6; k = i + 10; j = p + 14; y = w + 17; n = 19; v = e + 3; e = s + 11; x = n + 15. Given that n = 19, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = v + 2 to j, which gives j = v + 16.\n2. Substitute v = e + 3 to j, which gives j = e + 19.\n3. Substitute e = s + 11 to j, which gives j = s + 30.\n4. Substitute s = x + 1 to j, which gives j = x + 31.\n5. Substitute x = n + 15 to j, which gives j = n + 46.\n6. Substitute n = 19 to j, which gives j = 65.\n\nThus, the final answer is j = \\boxed{65}.",
"index": 693,
"question": "Suppose a collection of variables is related by the following definitions: w = f + 2; f = k + 6; i = n + 6; p = v + 2; s = x + 1; g = y + 6; k = i + 10; j = p + 14; y = w + 17; n = 19; v = e + 3; e = s + 11; x = n + 15. Given that n = 19, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"o": "k + 15", "z": "o + 16", "f": "z + 6", "n": "f + 7", "u": "n + 10", "j": "u + 20", "c": "k + 4", "m": "c + 7", "i": "m + 7", "d": "i + 6", "w": "d + 9", "a": "w + 5", "k": 20}, "premises": {"k": 20}, "target": "j"}, "answer": {"steps": [["u", "n + 10", "n + 30"], ["n", "f + 7", "f + 37"], ["f", "z + 6", "z + 43"], ["z", "o + 16", "o + 59"], ["o", "k + 15", "k + 74"], ["k", 20, "94"]], "target_var_name": "j", "target_value": 94, "value_dict": {"k": 20}, "is_reverse": true}}
| 694
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = m + 7; j = u + 20; n = f + 7; k = 20; z = o + 16; c = k + 4; w = d + 9; o = k + 15; f = z + 6; m = c + 7; a = w + 5; d = i + 6; u = n + 10. Given that k = 20, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = n + 10 to j, which gives j = n + 30.\n2. Substitute n = f + 7 to j, which gives j = f + 37.\n3. Substitute f = z + 6 to j, which gives j = z + 43.\n4. Substitute z = o + 16 to j, which gives j = o + 59.\n5. Substitute o = k + 15 to j, which gives j = k + 74.\n6. Substitute k = 20 to j, which gives j = 94.\n\nThus, the final answer is j = \\boxed{94}.",
"index": 694,
"question": "Suppose a collection of variables is related by the following definitions: i = m + 7; j = u + 20; n = f + 7; k = 20; z = o + 16; c = k + 4; w = d + 9; o = k + 15; f = z + 6; m = c + 7; a = w + 5; d = i + 6; u = n + 10. Given that k = 20, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"q": "j + 16", "o": "q + 4", "d": "o + 20", "a": "d + 13", "g": "a + 3", "f": "g + 14", "s": "j + 16", "n": "s + 20", "m": "n + 1", "c": "m + 15", "e": "c + 10", "z": "e + 18", "j": 7}, "premises": {"j": 7}, "target": "f"}, "answer": {"steps": [["g", "a + 3", "a + 17"], ["a", "d + 13", "d + 30"], ["d", "o + 20", "o + 50"], ["o", "q + 4", "q + 54"], ["q", "j + 16", "j + 70"], ["j", 7, "77"]], "target_var_name": "f", "target_value": 77, "value_dict": {"j": 7}, "is_reverse": true}}
| 695
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = o + 20; a = d + 13; c = m + 15; s = j + 16; o = q + 4; j = 7; f = g + 14; g = a + 3; z = e + 18; q = j + 16; m = n + 1; n = s + 20; e = c + 10. If j = 7, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = a + 3 to f, which gives f = a + 17.\n2. Substitute a = d + 13 to f, which gives f = d + 30.\n3. Substitute d = o + 20 to f, which gives f = o + 50.\n4. Substitute o = q + 4 to f, which gives f = q + 54.\n5. Substitute q = j + 16 to f, which gives f = j + 70.\n6. Substitute j = 7 to f, which gives f = 77.\n\nThus, the final answer is f = \\boxed{77}.",
"index": 695,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = o + 20; a = d + 13; c = m + 15; s = j + 16; o = q + 4; j = 7; f = g + 14; g = a + 3; z = e + 18; q = j + 16; m = n + 1; n = s + 20; e = c + 10. If j = 7, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"w": "n + 16", "r": "w + 20", "v": "r + 14", "b": "v + 10", "e": "b + 16", "l": "e + 4", "h": "n + 20", "k": "h + 7", "u": "k + 19", "d": "u + 19", "y": "d + 14", "t": "y + 15", "n": 8}, "premises": {"n": 8}, "target": "l"}, "answer": {"steps": [["e", "b + 16", "b + 20"], ["b", "v + 10", "v + 30"], ["v", "r + 14", "r + 44"], ["r", "w + 20", "w + 64"], ["w", "n + 16", "n + 80"], ["n", 8, "88"]], "target_var_name": "l", "target_value": 88, "value_dict": {"n": 8}, "is_reverse": true}}
| 696
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = v + 10; y = d + 14; t = y + 15; v = r + 14; d = u + 19; k = h + 7; w = n + 16; l = e + 4; u = k + 19; r = w + 20; e = b + 16; h = n + 20; n = 8. If n = 8, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = b + 16 to l, which gives l = b + 20.\n2. Substitute b = v + 10 to l, which gives l = v + 30.\n3. Substitute v = r + 14 to l, which gives l = r + 44.\n4. Substitute r = w + 20 to l, which gives l = w + 64.\n5. Substitute w = n + 16 to l, which gives l = n + 80.\n6. Substitute n = 8 to l, which gives l = 88.\n\nThus, the final answer is l = \\boxed{88}.",
"index": 696,
"question": "Consider a system of variables where each variable is defined as follows: b = v + 10; y = d + 14; t = y + 15; v = r + 14; d = u + 19; k = h + 7; w = n + 16; l = e + 4; u = k + 19; r = w + 20; e = b + 16; h = n + 20; n = 8. If n = 8, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"t": "k + 17", "x": "t + 19", "i": "x + 16", "l": "i + 1", "s": "l + 14", "c": "s + 10", "d": "k + 14", "y": "d + 2", "b": "y + 17", "z": "b + 16", "n": "z + 5", "a": "n + 12", "k": 1}, "premises": {"k": 1}, "target": "c"}, "answer": {"steps": [["s", "l + 14", "l + 24"], ["l", "i + 1", "i + 25"], ["i", "x + 16", "x + 41"], ["x", "t + 19", "t + 60"], ["t", "k + 17", "k + 77"], ["k", 1, "78"]], "target_var_name": "c", "target_value": 78, "value_dict": {"k": 1}, "is_reverse": true}}
| 697
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = x + 16; s = l + 14; d = k + 14; b = y + 17; y = d + 2; l = i + 1; c = s + 10; x = t + 19; k = 1; z = b + 16; t = k + 17; a = n + 12; n = z + 5. Given that k = 1, find 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 s = l + 14 to c, which gives c = l + 24.\n2. Substitute l = i + 1 to c, which gives c = i + 25.\n3. Substitute i = x + 16 to c, which gives c = x + 41.\n4. Substitute x = t + 19 to c, which gives c = t + 60.\n5. Substitute t = k + 17 to c, which gives c = k + 77.\n6. Substitute k = 1 to c, which gives c = 78.\n\nThus, the final answer is c = \\boxed{78}.",
"index": 697,
"question": "Suppose a collection of variables is related by the following definitions: i = x + 16; s = l + 14; d = k + 14; b = y + 17; y = d + 2; l = i + 1; c = s + 10; x = t + 19; k = 1; z = b + 16; t = k + 17; a = n + 12; n = z + 5. Given that k = 1, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"g": "w + 17", "f": "g + 5", "z": "f + 7", "r": "z + 15", "l": "r + 7", "n": "l + 14", "d": "w + 12", "k": "d + 11", "c": "k + 17", "t": "c + 19", "b": "t + 13", "h": "b + 5", "w": 3}, "premises": {"w": 3}, "target": "n"}, "answer": {"steps": [["l", "r + 7", "r + 21"], ["r", "z + 15", "z + 36"], ["z", "f + 7", "f + 43"], ["f", "g + 5", "g + 48"], ["g", "w + 17", "w + 65"], ["w", 3, "68"]], "target_var_name": "n", "target_value": 68, "value_dict": {"w": 3}, "is_reverse": true}}
| 698
| 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 = r + 7; t = c + 19; n = l + 14; k = d + 11; h = b + 5; d = w + 12; w = 3; f = g + 5; b = t + 13; g = w + 17; r = z + 15; z = f + 7; c = k + 17. If w = 3, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = r + 7 to n, which gives n = r + 21.\n2. Substitute r = z + 15 to n, which gives n = z + 36.\n3. Substitute z = f + 7 to n, which gives n = f + 43.\n4. Substitute f = g + 5 to n, which gives n = g + 48.\n5. Substitute g = w + 17 to n, which gives n = w + 65.\n6. Substitute w = 3 to n, which gives n = 68.\n\nThus, the final answer is n = \\boxed{68}.",
"index": 698,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = r + 7; t = c + 19; n = l + 14; k = d + 11; h = b + 5; d = w + 12; w = 3; f = g + 5; b = t + 13; g = w + 17; r = z + 15; z = f + 7; c = k + 17. If w = 3, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"w": "z + 6", "n": "w + 1", "c": "n + 13", "l": "c + 14", "y": "l + 13", "f": "y + 8", "q": "z + 18", "b": "q + 15", "k": "b + 9", "i": "k + 18", "e": "i + 4", "a": "e + 12", "z": 1}, "premises": {"z": 1}, "target": "f"}, "answer": {"steps": [["y", "l + 13", "l + 21"], ["l", "c + 14", "c + 35"], ["c", "n + 13", "n + 48"], ["n", "w + 1", "w + 49"], ["w", "z + 6", "z + 55"], ["z", 1, "56"]], "target_var_name": "f", "target_value": 56, "value_dict": {"z": 1}, "is_reverse": true}}
| 699
| 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 = c + 14; c = n + 13; n = w + 1; z = 1; b = q + 15; f = y + 8; y = l + 13; w = z + 6; a = e + 12; e = i + 4; i = k + 18; k = b + 9; q = z + 18. If z = 1, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = l + 13 to f, which gives f = l + 21.\n2. Substitute l = c + 14 to f, which gives f = c + 35.\n3. Substitute c = n + 13 to f, which gives f = n + 48.\n4. Substitute n = w + 1 to f, which gives f = w + 49.\n5. Substitute w = z + 6 to f, which gives f = z + 55.\n6. Substitute z = 1 to f, which gives f = 56.\n\nThus, the final answer is f = \\boxed{56}.",
"index": 699,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = c + 14; c = n + 13; n = w + 1; z = 1; b = q + 15; f = y + 8; y = l + 13; w = z + 6; a = e + 12; e = i + 4; i = k + 18; k = b + 9; q = z + 18. If z = 1, what is the resulting value of f?",
"split": "train"
}
|
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