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25.6k
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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": {"q": "g + 14", "h": "q + 8", "o": "h + 14", "z": "o + 5", "x": "z + 12", "w": "x + 5", "u": "g + 16", "s": "u + 19", "b": "s + 16", "r": "b + 3", "k": "r + 19", "t": "k + 12", "g": 4}, "premises": {"g": 4}, "target": "w"}, "answer": {"steps": [["x", "z + 12", "z + 17"], ["z", "o + 5", "o + 22"], ["o", "h + 14", "h + 36"], ["h", "q + 8", "q + 44"], ["q", "g + 14", "g + 58"], ["g", 4, "62"]], "target_var_name": "w", "target_value": 62, "value_dict": {"g": 4}, "is_reverse": true}}
| 24,800
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = s + 16; w = x + 5; h = q + 8; u = g + 16; k = r + 19; q = g + 14; s = u + 19; x = z + 12; z = o + 5; g = 4; r = b + 3; t = k + 12; o = h + 14. If g = 4, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = z + 12 to w, which gives w = z + 17.\n2. Substitute z = o + 5 to w, which gives w = o + 22.\n3. Substitute o = h + 14 to w, which gives w = h + 36.\n4. Substitute h = q + 8 to w, which gives w = q + 44.\n5. Substitute q = g + 14 to w, which gives w = g + 58.\n6. Substitute g = 4 to w, which gives w = 62.\n\nThus, the final answer is w = \\boxed{62}.",
"index": 24800,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = s + 16; w = x + 5; h = q + 8; u = g + 16; k = r + 19; q = g + 14; s = u + 19; x = z + 12; z = o + 5; g = 4; r = b + 3; t = k + 12; o = h + 14. If g = 4, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"w": "h + 17", "f": "w + 3", "r": "f + 12", "t": "r + 11", "m": "t + 9", "n": "m + 8", "i": "h + 13", "s": "i + 1", "l": "s + 11", "x": "l + 2", "j": "x + 10", "y": "j + 10", "h": 3}, "premises": {"h": 3}, "target": "n"}, "answer": {"steps": [["m", "t + 9", "t + 17"], ["t", "r + 11", "r + 28"], ["r", "f + 12", "f + 40"], ["f", "w + 3", "w + 43"], ["w", "h + 17", "h + 60"], ["h", 3, "63"]], "target_var_name": "n", "target_value": 63, "value_dict": {"h": 3}, "is_reverse": true}}
| 24,801
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = h + 17; i = h + 13; n = m + 8; t = r + 11; h = 3; x = l + 2; r = f + 12; j = x + 10; f = w + 3; l = s + 11; y = j + 10; s = i + 1; m = t + 9. Given that h = 3, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = t + 9 to n, which gives n = t + 17.\n2. Substitute t = r + 11 to n, which gives n = r + 28.\n3. Substitute r = f + 12 to n, which gives n = f + 40.\n4. Substitute f = w + 3 to n, which gives n = w + 43.\n5. Substitute w = h + 17 to n, which gives n = h + 60.\n6. Substitute h = 3 to n, which gives n = 63.\n\nThus, the final answer is n = \\boxed{63}.",
"index": 24801,
"question": "Suppose a collection of variables is related by the following definitions: w = h + 17; i = h + 13; n = m + 8; t = r + 11; h = 3; x = l + 2; r = f + 12; j = x + 10; f = w + 3; l = s + 11; y = j + 10; s = i + 1; m = t + 9. Given that h = 3, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"w": "s + 5", "v": "w + 7", "c": "v + 19", "h": "c + 1", "n": "h + 4", "i": "n + 3", "b": "s + 17", "o": "b + 12", "p": "o + 5", "j": "p + 14", "z": "j + 8", "t": "z + 8", "s": 4}, "premises": {"s": 4}, "target": "i"}, "answer": {"steps": [["n", "h + 4", "h + 7"], ["h", "c + 1", "c + 8"], ["c", "v + 19", "v + 27"], ["v", "w + 7", "w + 34"], ["w", "s + 5", "s + 39"], ["s", 4, "43"]], "target_var_name": "i", "target_value": 43, "value_dict": {"s": 4}, "is_reverse": true}}
| 24,802
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = h + 4; p = o + 5; o = b + 12; j = p + 14; t = z + 8; s = 4; c = v + 19; w = s + 5; h = c + 1; i = n + 3; b = s + 17; v = w + 7; z = j + 8. If s = 4, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 43,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = h + 4 to i, which gives i = h + 7.\n2. Substitute h = c + 1 to i, which gives i = c + 8.\n3. Substitute c = v + 19 to i, which gives i = v + 27.\n4. Substitute v = w + 7 to i, which gives i = w + 34.\n5. Substitute w = s + 5 to i, which gives i = s + 39.\n6. Substitute s = 4 to i, which gives i = 43.\n\nThus, the final answer is i = \\boxed{43}.",
"index": 24802,
"question": "Consider a system of variables where each variable is defined as follows: n = h + 4; p = o + 5; o = b + 12; j = p + 14; t = z + 8; s = 4; c = v + 19; w = s + 5; h = c + 1; i = n + 3; b = s + 17; v = w + 7; z = j + 8. If s = 4, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"c": "v + 4", "e": "c + 17", "d": "e + 20", "a": "d + 3", "o": "a + 8", "q": "o + 18", "k": "v + 7", "n": "k + 17", "i": "n + 13", "r": "i + 20", "p": "r + 16", "s": "p + 8", "v": 4}, "premises": {"v": 4}, "target": "q"}, "answer": {"steps": [["o", "a + 8", "a + 26"], ["a", "d + 3", "d + 29"], ["d", "e + 20", "e + 49"], ["e", "c + 17", "c + 66"], ["c", "v + 4", "v + 70"], ["v", 4, "74"]], "target_var_name": "q", "target_value": 74, "value_dict": {"v": 4}, "is_reverse": true}}
| 24,803
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = v + 4; d = e + 20; n = k + 17; p = r + 16; o = a + 8; i = n + 13; q = o + 18; v = 4; r = i + 20; s = p + 8; a = d + 3; e = c + 17; k = v + 7. Given that v = 4, find 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 o = a + 8 to q, which gives q = a + 26.\n2. Substitute a = d + 3 to q, which gives q = d + 29.\n3. Substitute d = e + 20 to q, which gives q = e + 49.\n4. Substitute e = c + 17 to q, which gives q = c + 66.\n5. Substitute c = v + 4 to q, which gives q = v + 70.\n6. Substitute v = 4 to q, which gives q = 74.\n\nThus, the final answer is q = \\boxed{74}.",
"index": 24803,
"question": "Suppose a collection of variables is related by the following definitions: c = v + 4; d = e + 20; n = k + 17; p = r + 16; o = a + 8; i = n + 13; q = o + 18; v = 4; r = i + 20; s = p + 8; a = d + 3; e = c + 17; k = v + 7. Given that v = 4, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"i": "a + 15", "t": "i + 1", "q": "t + 11", "r": "q + 6", "z": "r + 4", "w": "z + 19", "h": "a + 17", "n": "h + 19", "p": "n + 8", "c": "p + 5", "s": "c + 9", "x": "s + 15", "a": 15}, "premises": {"a": 15}, "target": "w"}, "answer": {"steps": [["z", "r + 4", "r + 23"], ["r", "q + 6", "q + 29"], ["q", "t + 11", "t + 40"], ["t", "i + 1", "i + 41"], ["i", "a + 15", "a + 56"], ["a", 15, "71"]], "target_var_name": "w", "target_value": 71, "value_dict": {"a": 15}, "is_reverse": true}}
| 24,804
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = s + 15; s = c + 9; q = t + 11; a = 15; c = p + 5; r = q + 6; z = r + 4; w = z + 19; h = a + 17; t = i + 1; i = a + 15; n = h + 19; p = n + 8. Given that a = 15, find the 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 = r + 4 to w, which gives w = r + 23.\n2. Substitute r = q + 6 to w, which gives w = q + 29.\n3. Substitute q = t + 11 to w, which gives w = t + 40.\n4. Substitute t = i + 1 to w, which gives w = i + 41.\n5. Substitute i = a + 15 to w, which gives w = a + 56.\n6. Substitute a = 15 to w, which gives w = 71.\n\nThus, the final answer is w = \\boxed{71}.",
"index": 24804,
"question": "Suppose a collection of variables is related by the following definitions: x = s + 15; s = c + 9; q = t + 11; a = 15; c = p + 5; r = q + 6; z = r + 4; w = z + 19; h = a + 17; t = i + 1; i = a + 15; n = h + 19; p = n + 8. Given that a = 15, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"v": "a + 20", "e": "v + 20", "z": "e + 9", "x": "z + 11", "h": "x + 8", "u": "h + 9", "p": "a + 15", "t": "p + 18", "c": "t + 4", "l": "c + 11", "f": "l + 4", "s": "f + 15", "a": 17}, "premises": {"a": 17}, "target": "u"}, "answer": {"steps": [["h", "x + 8", "x + 17"], ["x", "z + 11", "z + 28"], ["z", "e + 9", "e + 37"], ["e", "v + 20", "v + 57"], ["v", "a + 20", "a + 77"], ["a", 17, "94"]], "target_var_name": "u", "target_value": 94, "value_dict": {"a": 17}, "is_reverse": true}}
| 24,805
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = f + 15; h = x + 8; z = e + 9; t = p + 18; v = a + 20; p = a + 15; a = 17; e = v + 20; c = t + 4; x = z + 11; l = c + 11; u = h + 9; f = l + 4. Given that a = 17, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = x + 8 to u, which gives u = x + 17.\n2. Substitute x = z + 11 to u, which gives u = z + 28.\n3. Substitute z = e + 9 to u, which gives u = e + 37.\n4. Substitute e = v + 20 to u, which gives u = v + 57.\n5. Substitute v = a + 20 to u, which gives u = a + 77.\n6. Substitute a = 17 to u, which gives u = 94.\n\nThus, the final answer is u = \\boxed{94}.",
"index": 24805,
"question": "Suppose a collection of variables is related by the following definitions: s = f + 15; h = x + 8; z = e + 9; t = p + 18; v = a + 20; p = a + 15; a = 17; e = v + 20; c = t + 4; x = z + 11; l = c + 11; u = h + 9; f = l + 4. Given that a = 17, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"m": "v + 14", "k": "m + 19", "w": "k + 12", "s": "w + 5", "b": "s + 2", "t": "b + 9", "a": "v + 17", "z": "a + 9", "i": "z + 12", "d": "i + 17", "y": "d + 17", "n": "y + 11", "v": 8}, "premises": {"v": 8}, "target": "t"}, "answer": {"steps": [["b", "s + 2", "s + 11"], ["s", "w + 5", "w + 16"], ["w", "k + 12", "k + 28"], ["k", "m + 19", "m + 47"], ["m", "v + 14", "v + 61"], ["v", 8, "69"]], "target_var_name": "t", "target_value": 69, "value_dict": {"v": 8}, "is_reverse": true}}
| 24,806
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = z + 12; d = i + 17; n = y + 11; z = a + 9; v = 8; s = w + 5; t = b + 9; w = k + 12; m = v + 14; b = s + 2; a = v + 17; k = m + 19; y = d + 17. If v = 8, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = s + 2 to t, which gives t = s + 11.\n2. Substitute s = w + 5 to t, which gives t = w + 16.\n3. Substitute w = k + 12 to t, which gives t = k + 28.\n4. Substitute k = m + 19 to t, which gives t = m + 47.\n5. Substitute m = v + 14 to t, which gives t = v + 61.\n6. Substitute v = 8 to t, which gives t = 69.\n\nThus, the final answer is t = \\boxed{69}.",
"index": 24806,
"question": "Consider a system of variables where each variable is defined as follows: i = z + 12; d = i + 17; n = y + 11; z = a + 9; v = 8; s = w + 5; t = b + 9; w = k + 12; m = v + 14; b = s + 2; a = v + 17; k = m + 19; y = d + 17. If v = 8, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"w": "x + 4", "q": "w + 5", "i": "q + 4", "c": "i + 15", "y": "c + 15", "r": "y + 20", "o": "x + 1", "d": "o + 20", "m": "d + 12", "j": "m + 9", "a": "j + 10", "n": "a + 14", "x": 12}, "premises": {"x": 12}, "target": "r"}, "answer": {"steps": [["y", "c + 15", "c + 35"], ["c", "i + 15", "i + 50"], ["i", "q + 4", "q + 54"], ["q", "w + 5", "w + 59"], ["w", "x + 4", "x + 63"], ["x", 12, "75"]], "target_var_name": "r", "target_value": 75, "value_dict": {"x": 12}, "is_reverse": true}}
| 24,807
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = x + 4; a = j + 10; r = y + 20; i = q + 4; o = x + 1; y = c + 15; x = 12; m = d + 12; c = i + 15; j = m + 9; d = o + 20; n = a + 14; q = w + 5. If x = 12, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = c + 15 to r, which gives r = c + 35.\n2. Substitute c = i + 15 to r, which gives r = i + 50.\n3. Substitute i = q + 4 to r, which gives r = q + 54.\n4. Substitute q = w + 5 to r, which gives r = w + 59.\n5. Substitute w = x + 4 to r, which gives r = x + 63.\n6. Substitute x = 12 to r, which gives r = 75.\n\nThus, the final answer is r = \\boxed{75}.",
"index": 24807,
"question": "Consider a system of variables where each variable is defined as follows: w = x + 4; a = j + 10; r = y + 20; i = q + 4; o = x + 1; y = c + 15; x = 12; m = d + 12; c = i + 15; j = m + 9; d = o + 20; n = a + 14; q = w + 5. If x = 12, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"h": "a + 20", "v": "h + 18", "g": "v + 12", "y": "g + 3", "x": "y + 9", "r": "x + 19", "j": "a + 7", "d": "j + 11", "w": "d + 8", "o": "w + 12", "n": "o + 8", "s": "n + 9", "a": 2}, "premises": {"a": 2}, "target": "r"}, "answer": {"steps": [["x", "y + 9", "y + 28"], ["y", "g + 3", "g + 31"], ["g", "v + 12", "v + 43"], ["v", "h + 18", "h + 61"], ["h", "a + 20", "a + 81"], ["a", 2, "83"]], "target_var_name": "r", "target_value": 83, "value_dict": {"a": 2}, "is_reverse": true}}
| 24,808
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = 2; s = n + 9; n = o + 8; x = y + 9; o = w + 12; v = h + 18; j = a + 7; h = a + 20; d = j + 11; y = g + 3; w = d + 8; g = v + 12; r = x + 19. If a = 2, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = y + 9 to r, which gives r = y + 28.\n2. Substitute y = g + 3 to r, which gives r = g + 31.\n3. Substitute g = v + 12 to r, which gives r = v + 43.\n4. Substitute v = h + 18 to r, which gives r = h + 61.\n5. Substitute h = a + 20 to r, which gives r = a + 81.\n6. Substitute a = 2 to r, which gives r = 83.\n\nThus, the final answer is r = \\boxed{83}.",
"index": 24808,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = 2; s = n + 9; n = o + 8; x = y + 9; o = w + 12; v = h + 18; j = a + 7; h = a + 20; d = j + 11; y = g + 3; w = d + 8; g = v + 12; r = x + 19. If a = 2, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"y": "j + 9", "u": "y + 6", "v": "u + 17", "l": "v + 19", "e": "l + 20", "p": "e + 7", "b": "j + 11", "o": "b + 5", "h": "o + 2", "n": "h + 8", "t": "n + 14", "r": "t + 11", "j": 18}, "premises": {"j": 18}, "target": "p"}, "answer": {"steps": [["e", "l + 20", "l + 27"], ["l", "v + 19", "v + 46"], ["v", "u + 17", "u + 63"], ["u", "y + 6", "y + 69"], ["y", "j + 9", "j + 78"], ["j", 18, "96"]], "target_var_name": "p", "target_value": 96, "value_dict": {"j": 18}, "is_reverse": true}}
| 24,809
| 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 = 18; o = b + 5; n = h + 8; e = l + 20; t = n + 14; h = o + 2; p = e + 7; l = v + 19; r = t + 11; u = y + 6; y = j + 9; b = j + 11; v = u + 17. If j = 18, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 96,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = l + 20 to p, which gives p = l + 27.\n2. Substitute l = v + 19 to p, which gives p = v + 46.\n3. Substitute v = u + 17 to p, which gives p = u + 63.\n4. Substitute u = y + 6 to p, which gives p = y + 69.\n5. Substitute y = j + 9 to p, which gives p = j + 78.\n6. Substitute j = 18 to p, which gives p = 96.\n\nThus, the final answer is p = \\boxed{96}.",
"index": 24809,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = 18; o = b + 5; n = h + 8; e = l + 20; t = n + 14; h = o + 2; p = e + 7; l = v + 19; r = t + 11; u = y + 6; y = j + 9; b = j + 11; v = u + 17. If j = 18, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"a": "g + 5", "p": "a + 10", "j": "p + 12", "y": "j + 11", "n": "y + 11", "r": "n + 4", "e": "g + 8", "l": "e + 6", "x": "l + 4", "w": "x + 7", "f": "w + 14", "z": "f + 7", "g": 13}, "premises": {"g": 13}, "target": "r"}, "answer": {"steps": [["n", "y + 11", "y + 15"], ["y", "j + 11", "j + 26"], ["j", "p + 12", "p + 38"], ["p", "a + 10", "a + 48"], ["a", "g + 5", "g + 53"], ["g", 13, "66"]], "target_var_name": "r", "target_value": 66, "value_dict": {"g": 13}, "is_reverse": true}}
| 24,810
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = 13; p = a + 10; w = x + 7; y = j + 11; e = g + 8; x = l + 4; j = p + 12; z = f + 7; a = g + 5; n = y + 11; l = e + 6; f = w + 14; r = n + 4. If g = 13, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = y + 11 to r, which gives r = y + 15.\n2. Substitute y = j + 11 to r, which gives r = j + 26.\n3. Substitute j = p + 12 to r, which gives r = p + 38.\n4. Substitute p = a + 10 to r, which gives r = a + 48.\n5. Substitute a = g + 5 to r, which gives r = g + 53.\n6. Substitute g = 13 to r, which gives r = 66.\n\nThus, the final answer is r = \\boxed{66}.",
"index": 24810,
"question": "Consider a system of variables where each variable is defined as follows: g = 13; p = a + 10; w = x + 7; y = j + 11; e = g + 8; x = l + 4; j = p + 12; z = f + 7; a = g + 5; n = y + 11; l = e + 6; f = w + 14; r = n + 4. If g = 13, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"z": "q + 11", "p": "z + 13", "k": "p + 5", "b": "k + 8", "i": "b + 18", "j": "i + 7", "m": "q + 12", "d": "m + 9", "f": "d + 2", "a": "f + 18", "u": "a + 4", "o": "u + 20", "q": 2}, "premises": {"q": 2}, "target": "j"}, "answer": {"steps": [["i", "b + 18", "b + 25"], ["b", "k + 8", "k + 33"], ["k", "p + 5", "p + 38"], ["p", "z + 13", "z + 51"], ["z", "q + 11", "q + 62"], ["q", 2, "64"]], "target_var_name": "j", "target_value": 64, "value_dict": {"q": 2}, "is_reverse": true}}
| 24,811
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = m + 9; q = 2; f = d + 2; j = i + 7; b = k + 8; u = a + 4; i = b + 18; o = u + 20; a = f + 18; p = z + 13; z = q + 11; m = q + 12; k = p + 5. Given that q = 2, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = b + 18 to j, which gives j = b + 25.\n2. Substitute b = k + 8 to j, which gives j = k + 33.\n3. Substitute k = p + 5 to j, which gives j = p + 38.\n4. Substitute p = z + 13 to j, which gives j = z + 51.\n5. Substitute z = q + 11 to j, which gives j = q + 62.\n6. Substitute q = 2 to j, which gives j = 64.\n\nThus, the final answer is j = \\boxed{64}.",
"index": 24811,
"question": "Suppose a collection of variables is related by the following definitions: d = m + 9; q = 2; f = d + 2; j = i + 7; b = k + 8; u = a + 4; i = b + 18; o = u + 20; a = f + 18; p = z + 13; z = q + 11; m = q + 12; k = p + 5. Given that q = 2, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"q": "v + 19", "s": "q + 6", "w": "s + 9", "o": "w + 19", "m": "o + 14", "f": "m + 14", "b": "v + 10", "h": "b + 9", "k": "h + 16", "j": "k + 18", "i": "j + 3", "n": "i + 2", "v": 8}, "premises": {"v": 8}, "target": "f"}, "answer": {"steps": [["m", "o + 14", "o + 28"], ["o", "w + 19", "w + 47"], ["w", "s + 9", "s + 56"], ["s", "q + 6", "q + 62"], ["q", "v + 19", "v + 81"], ["v", 8, "89"]], "target_var_name": "f", "target_value": 89, "value_dict": {"v": 8}, "is_reverse": true}}
| 24,812
| 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 = h + 16; n = i + 2; s = q + 6; f = m + 14; h = b + 9; v = 8; i = j + 3; m = o + 14; j = k + 18; q = v + 19; w = s + 9; b = v + 10; o = w + 19. If v = 8, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = o + 14 to f, which gives f = o + 28.\n2. Substitute o = w + 19 to f, which gives f = w + 47.\n3. Substitute w = s + 9 to f, which gives f = s + 56.\n4. Substitute s = q + 6 to f, which gives f = q + 62.\n5. Substitute q = v + 19 to f, which gives f = v + 81.\n6. Substitute v = 8 to f, which gives f = 89.\n\nThus, the final answer is f = \\boxed{89}.",
"index": 24812,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = h + 16; n = i + 2; s = q + 6; f = m + 14; h = b + 9; v = 8; i = j + 3; m = o + 14; j = k + 18; q = v + 19; w = s + 9; b = v + 10; o = w + 19. If v = 8, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"f": "n + 19", "k": "f + 1", "s": "k + 11", "b": "s + 12", "j": "b + 11", "x": "j + 1", "r": "n + 16", "l": "r + 2", "w": "l + 6", "y": "w + 19", "d": "y + 20", "h": "d + 6", "n": 7}, "premises": {"n": 7}, "target": "x"}, "answer": {"steps": [["j", "b + 11", "b + 12"], ["b", "s + 12", "s + 24"], ["s", "k + 11", "k + 35"], ["k", "f + 1", "f + 36"], ["f", "n + 19", "n + 55"], ["n", 7, "62"]], "target_var_name": "x", "target_value": 62, "value_dict": {"n": 7}, "is_reverse": true}}
| 24,813
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = d + 6; n = 7; j = b + 11; d = y + 20; f = n + 19; b = s + 12; l = r + 2; r = n + 16; x = j + 1; s = k + 11; k = f + 1; w = l + 6; y = w + 19. If n = 7, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = b + 11 to x, which gives x = b + 12.\n2. Substitute b = s + 12 to x, which gives x = s + 24.\n3. Substitute s = k + 11 to x, which gives x = k + 35.\n4. Substitute k = f + 1 to x, which gives x = f + 36.\n5. Substitute f = n + 19 to x, which gives x = n + 55.\n6. Substitute n = 7 to x, which gives x = 62.\n\nThus, the final answer is x = \\boxed{62}.",
"index": 24813,
"question": "Consider a system of variables where each variable is defined as follows: h = d + 6; n = 7; j = b + 11; d = y + 20; f = n + 19; b = s + 12; l = r + 2; r = n + 16; x = j + 1; s = k + 11; k = f + 1; w = l + 6; y = w + 19. If n = 7, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"s": "v + 17", "e": "s + 15", "x": "e + 10", "h": "x + 9", "f": "h + 4", "z": "f + 2", "p": "v + 11", "k": "p + 7", "i": "k + 6", "m": "i + 11", "t": "m + 8", "b": "t + 10", "v": 1}, "premises": {"v": 1}, "target": "z"}, "answer": {"steps": [["f", "h + 4", "h + 6"], ["h", "x + 9", "x + 15"], ["x", "e + 10", "e + 25"], ["e", "s + 15", "s + 40"], ["s", "v + 17", "v + 57"], ["v", 1, "58"]], "target_var_name": "z", "target_value": 58, "value_dict": {"v": 1}, "is_reverse": true}}
| 24,814
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = t + 10; t = m + 8; k = p + 7; v = 1; f = h + 4; m = i + 11; i = k + 6; x = e + 10; z = f + 2; s = v + 17; h = x + 9; p = v + 11; e = s + 15. If v = 1, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = h + 4 to z, which gives z = h + 6.\n2. Substitute h = x + 9 to z, which gives z = x + 15.\n3. Substitute x = e + 10 to z, which gives z = e + 25.\n4. Substitute e = s + 15 to z, which gives z = s + 40.\n5. Substitute s = v + 17 to z, which gives z = v + 57.\n6. Substitute v = 1 to z, which gives z = 58.\n\nThus, the final answer is z = \\boxed{58}.",
"index": 24814,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = t + 10; t = m + 8; k = p + 7; v = 1; f = h + 4; m = i + 11; i = k + 6; x = e + 10; z = f + 2; s = v + 17; h = x + 9; p = v + 11; e = s + 15. If v = 1, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"r": "o + 15", "d": "r + 6", "q": "d + 15", "a": "q + 2", "p": "a + 18", "n": "p + 9", "l": "o + 11", "e": "l + 20", "c": "e + 4", "x": "c + 10", "w": "x + 16", "v": "w + 10", "o": 16}, "premises": {"o": 16}, "target": "n"}, "answer": {"steps": [["p", "a + 18", "a + 27"], ["a", "q + 2", "q + 29"], ["q", "d + 15", "d + 44"], ["d", "r + 6", "r + 50"], ["r", "o + 15", "o + 65"], ["o", 16, "81"]], "target_var_name": "n", "target_value": 81, "value_dict": {"o": 16}, "is_reverse": true}}
| 24,815
| 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 = 16; p = a + 18; v = w + 10; c = e + 4; r = o + 15; x = c + 10; e = l + 20; l = o + 11; a = q + 2; q = d + 15; n = p + 9; w = x + 16; d = r + 6. If o = 16, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = a + 18 to n, which gives n = a + 27.\n2. Substitute a = q + 2 to n, which gives n = q + 29.\n3. Substitute q = d + 15 to n, which gives n = d + 44.\n4. Substitute d = r + 6 to n, which gives n = r + 50.\n5. Substitute r = o + 15 to n, which gives n = o + 65.\n6. Substitute o = 16 to n, which gives n = 81.\n\nThus, the final answer is n = \\boxed{81}.",
"index": 24815,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = 16; p = a + 18; v = w + 10; c = e + 4; r = o + 15; x = c + 10; e = l + 20; l = o + 11; a = q + 2; q = d + 15; n = p + 9; w = x + 16; d = r + 6. If o = 16, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"a": "s + 9", "k": "a + 13", "m": "k + 18", "w": "m + 10", "c": "w + 3", "t": "c + 3", "g": "s + 20", "y": "g + 7", "i": "y + 19", "u": "i + 17", "f": "u + 4", "p": "f + 14", "s": 9}, "premises": {"s": 9}, "target": "t"}, "answer": {"steps": [["c", "w + 3", "w + 6"], ["w", "m + 10", "m + 16"], ["m", "k + 18", "k + 34"], ["k", "a + 13", "a + 47"], ["a", "s + 9", "s + 56"], ["s", 9, "65"]], "target_var_name": "t", "target_value": 65, "value_dict": {"s": 9}, "is_reverse": true}}
| 24,816
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = f + 14; i = y + 19; m = k + 18; k = a + 13; c = w + 3; w = m + 10; y = g + 7; t = c + 3; g = s + 20; s = 9; f = u + 4; u = i + 17; a = s + 9. If s = 9, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = w + 3 to t, which gives t = w + 6.\n2. Substitute w = m + 10 to t, which gives t = m + 16.\n3. Substitute m = k + 18 to t, which gives t = k + 34.\n4. Substitute k = a + 13 to t, which gives t = a + 47.\n5. Substitute a = s + 9 to t, which gives t = s + 56.\n6. Substitute s = 9 to t, which gives t = 65.\n\nThus, the final answer is t = \\boxed{65}.",
"index": 24816,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = f + 14; i = y + 19; m = k + 18; k = a + 13; c = w + 3; w = m + 10; y = g + 7; t = c + 3; g = s + 20; s = 9; f = u + 4; u = i + 17; a = s + 9. If s = 9, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"d": "o + 1", "q": "d + 9", "i": "q + 1", "v": "i + 5", "n": "v + 13", "c": "n + 15", "e": "o + 11", "f": "e + 17", "u": "f + 15", "z": "u + 19", "m": "z + 17", "k": "m + 14", "o": 1}, "premises": {"o": 1}, "target": "c"}, "answer": {"steps": [["n", "v + 13", "v + 28"], ["v", "i + 5", "i + 33"], ["i", "q + 1", "q + 34"], ["q", "d + 9", "d + 43"], ["d", "o + 1", "o + 44"], ["o", 1, "45"]], "target_var_name": "c", "target_value": 45, "value_dict": {"o": 1}, "is_reverse": true}}
| 24,817
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = z + 17; z = u + 19; k = m + 14; e = o + 11; u = f + 15; q = d + 9; o = 1; n = v + 13; v = i + 5; d = o + 1; f = e + 17; i = q + 1; c = n + 15. Given that o = 1, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 45,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = v + 13 to c, which gives c = v + 28.\n2. Substitute v = i + 5 to c, which gives c = i + 33.\n3. Substitute i = q + 1 to c, which gives c = q + 34.\n4. Substitute q = d + 9 to c, which gives c = d + 43.\n5. Substitute d = o + 1 to c, which gives c = o + 44.\n6. Substitute o = 1 to c, which gives c = 45.\n\nThus, the final answer is c = \\boxed{45}.",
"index": 24817,
"question": "Suppose a collection of variables is related by the following definitions: m = z + 17; z = u + 19; k = m + 14; e = o + 11; u = f + 15; q = d + 9; o = 1; n = v + 13; v = i + 5; d = o + 1; f = e + 17; i = q + 1; c = n + 15. Given that o = 1, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"y": "w + 18", "h": "y + 3", "c": "h + 20", "z": "c + 1", "b": "z + 12", "a": "b + 4", "j": "w + 7", "s": "j + 19", "r": "s + 2", "u": "r + 5", "q": "u + 2", "x": "q + 15", "w": 16}, "premises": {"w": 16}, "target": "a"}, "answer": {"steps": [["b", "z + 12", "z + 16"], ["z", "c + 1", "c + 17"], ["c", "h + 20", "h + 37"], ["h", "y + 3", "y + 40"], ["y", "w + 18", "w + 58"], ["w", 16, "74"]], "target_var_name": "a", "target_value": 74, "value_dict": {"w": 16}, "is_reverse": true}}
| 24,818
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = w + 18; q = u + 2; u = r + 5; w = 16; a = b + 4; z = c + 1; c = h + 20; b = z + 12; x = q + 15; r = s + 2; h = y + 3; s = j + 19; j = w + 7. If w = 16, 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 b = z + 12 to a, which gives a = z + 16.\n2. Substitute z = c + 1 to a, which gives a = c + 17.\n3. Substitute c = h + 20 to a, which gives a = h + 37.\n4. Substitute h = y + 3 to a, which gives a = y + 40.\n5. Substitute y = w + 18 to a, which gives a = w + 58.\n6. Substitute w = 16 to a, which gives a = 74.\n\nThus, the final answer is a = \\boxed{74}.",
"index": 24818,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = w + 18; q = u + 2; u = r + 5; w = 16; a = b + 4; z = c + 1; c = h + 20; b = z + 12; x = q + 15; r = s + 2; h = y + 3; s = j + 19; j = w + 7. If w = 16, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"a": "w + 12", "m": "a + 19", "o": "m + 12", "g": "o + 4", "x": "g + 2", "k": "x + 3", "i": "w + 4", "b": "i + 8", "c": "b + 3", "r": "c + 7", "s": "r + 12", "q": "s + 19", "w": 2}, "premises": {"w": 2}, "target": "k"}, "answer": {"steps": [["x", "g + 2", "g + 5"], ["g", "o + 4", "o + 9"], ["o", "m + 12", "m + 21"], ["m", "a + 19", "a + 40"], ["a", "w + 12", "w + 52"], ["w", 2, "54"]], "target_var_name": "k", "target_value": 54, "value_dict": {"w": 2}, "is_reverse": true}}
| 24,819
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = g + 2; s = r + 12; b = i + 8; w = 2; g = o + 4; o = m + 12; r = c + 7; k = x + 3; i = w + 4; m = a + 19; c = b + 3; q = s + 19; a = w + 12. If w = 2, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = g + 2 to k, which gives k = g + 5.\n2. Substitute g = o + 4 to k, which gives k = o + 9.\n3. Substitute o = m + 12 to k, which gives k = m + 21.\n4. Substitute m = a + 19 to k, which gives k = a + 40.\n5. Substitute a = w + 12 to k, which gives k = w + 52.\n6. Substitute w = 2 to k, which gives k = 54.\n\nThus, the final answer is k = \\boxed{54}.",
"index": 24819,
"question": "Consider a system of variables where each variable is defined as follows: x = g + 2; s = r + 12; b = i + 8; w = 2; g = o + 4; o = m + 12; r = c + 7; k = x + 3; i = w + 4; m = a + 19; c = b + 3; q = s + 19; a = w + 12. If w = 2, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"k": "a + 20", "x": "k + 6", "q": "x + 6", "j": "q + 18", "n": "j + 5", "w": "n + 5", "v": "a + 7", "f": "v + 19", "y": "f + 2", "m": "y + 8", "l": "m + 4", "c": "l + 3", "a": 14}, "premises": {"a": 14}, "target": "w"}, "answer": {"steps": [["n", "j + 5", "j + 10"], ["j", "q + 18", "q + 28"], ["q", "x + 6", "x + 34"], ["x", "k + 6", "k + 40"], ["k", "a + 20", "a + 60"], ["a", 14, "74"]], "target_var_name": "w", "target_value": 74, "value_dict": {"a": 14}, "is_reverse": true}}
| 24,820
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = a + 7; n = j + 5; c = l + 3; q = x + 6; x = k + 6; w = n + 5; l = m + 4; m = y + 8; a = 14; f = v + 19; j = q + 18; y = f + 2; k = a + 20. Given that a = 14, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = j + 5 to w, which gives w = j + 10.\n2. Substitute j = q + 18 to w, which gives w = q + 28.\n3. Substitute q = x + 6 to w, which gives w = x + 34.\n4. Substitute x = k + 6 to w, which gives w = k + 40.\n5. Substitute k = a + 20 to w, which gives w = a + 60.\n6. Substitute a = 14 to w, which gives w = 74.\n\nThus, the final answer is w = \\boxed{74}.",
"index": 24820,
"question": "Suppose a collection of variables is related by the following definitions: v = a + 7; n = j + 5; c = l + 3; q = x + 6; x = k + 6; w = n + 5; l = m + 4; m = y + 8; a = 14; f = v + 19; j = q + 18; y = f + 2; k = a + 20. Given that a = 14, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"t": "o + 4", "x": "t + 19", "y": "x + 9", "v": "y + 9", "i": "v + 19", "b": "i + 17", "w": "o + 12", "h": "w + 10", "f": "h + 18", "c": "f + 2", "n": "c + 14", "u": "n + 16", "o": 5}, "premises": {"o": 5}, "target": "b"}, "answer": {"steps": [["i", "v + 19", "v + 36"], ["v", "y + 9", "y + 45"], ["y", "x + 9", "x + 54"], ["x", "t + 19", "t + 73"], ["t", "o + 4", "o + 77"], ["o", 5, "82"]], "target_var_name": "b", "target_value": 82, "value_dict": {"o": 5}, "is_reverse": true}}
| 24,821
| 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; t = o + 4; y = x + 9; x = t + 19; b = i + 17; f = h + 18; n = c + 14; c = f + 2; u = n + 16; o = 5; i = v + 19; v = y + 9; w = o + 12. If o = 5, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = v + 19 to b, which gives b = v + 36.\n2. Substitute v = y + 9 to b, which gives b = y + 45.\n3. Substitute y = x + 9 to b, which gives b = x + 54.\n4. Substitute x = t + 19 to b, which gives b = t + 73.\n5. Substitute t = o + 4 to b, which gives b = o + 77.\n6. Substitute o = 5 to b, which gives b = 82.\n\nThus, the final answer is b = \\boxed{82}.",
"index": 24821,
"question": "Consider a system of variables where each variable is defined as follows: h = w + 10; t = o + 4; y = x + 9; x = t + 19; b = i + 17; f = h + 18; n = c + 14; c = f + 2; u = n + 16; o = 5; i = v + 19; v = y + 9; w = o + 12. If o = 5, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"v": "y + 8", "x": "v + 12", "r": "x + 18", "j": "r + 18", "w": "j + 3", "s": "w + 17", "c": "y + 9", "z": "c + 5", "k": "z + 9", "p": "k + 1", "g": "p + 9", "l": "g + 18", "y": 12}, "premises": {"y": 12}, "target": "s"}, "answer": {"steps": [["w", "j + 3", "j + 20"], ["j", "r + 18", "r + 38"], ["r", "x + 18", "x + 56"], ["x", "v + 12", "v + 68"], ["v", "y + 8", "y + 76"], ["y", 12, "88"]], "target_var_name": "s", "target_value": 88, "value_dict": {"y": 12}, "is_reverse": true}}
| 24,822
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = y + 8; p = k + 1; k = z + 9; g = p + 9; j = r + 18; x = v + 12; c = y + 9; r = x + 18; y = 12; l = g + 18; z = c + 5; w = j + 3; s = w + 17. Given that y = 12, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = j + 3 to s, which gives s = j + 20.\n2. Substitute j = r + 18 to s, which gives s = r + 38.\n3. Substitute r = x + 18 to s, which gives s = x + 56.\n4. Substitute x = v + 12 to s, which gives s = v + 68.\n5. Substitute v = y + 8 to s, which gives s = y + 76.\n6. Substitute y = 12 to s, which gives s = 88.\n\nThus, the final answer is s = \\boxed{88}.",
"index": 24822,
"question": "Suppose a collection of variables is related by the following definitions: v = y + 8; p = k + 1; k = z + 9; g = p + 9; j = r + 18; x = v + 12; c = y + 9; r = x + 18; y = 12; l = g + 18; z = c + 5; w = j + 3; s = w + 17. Given that y = 12, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"d": "f + 14", "j": "d + 12", "o": "j + 17", "k": "o + 20", "r": "k + 1", "z": "r + 7", "n": "f + 4", "i": "n + 10", "g": "i + 16", "p": "g + 7", "h": "p + 1", "u": "h + 1", "f": 20}, "premises": {"f": 20}, "target": "z"}, "answer": {"steps": [["r", "k + 1", "k + 8"], ["k", "o + 20", "o + 28"], ["o", "j + 17", "j + 45"], ["j", "d + 12", "d + 57"], ["d", "f + 14", "f + 71"], ["f", 20, "91"]], "target_var_name": "z", "target_value": 91, "value_dict": {"f": 20}, "is_reverse": true}}
| 24,823
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = n + 10; j = d + 12; o = j + 17; h = p + 1; r = k + 1; d = f + 14; k = o + 20; z = r + 7; u = h + 1; p = g + 7; f = 20; n = f + 4; g = i + 16. Given that f = 20, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = k + 1 to z, which gives z = k + 8.\n2. Substitute k = o + 20 to z, which gives z = o + 28.\n3. Substitute o = j + 17 to z, which gives z = j + 45.\n4. Substitute j = d + 12 to z, which gives z = d + 57.\n5. Substitute d = f + 14 to z, which gives z = f + 71.\n6. Substitute f = 20 to z, which gives z = 91.\n\nThus, the final answer is z = \\boxed{91}.",
"index": 24823,
"question": "Suppose a collection of variables is related by the following definitions: i = n + 10; j = d + 12; o = j + 17; h = p + 1; r = k + 1; d = f + 14; k = o + 20; z = r + 7; u = h + 1; p = g + 7; f = 20; n = f + 4; g = i + 16. Given that f = 20, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"i": "g + 16", "o": "i + 2", "x": "o + 5", "a": "x + 5", "w": "a + 16", "d": "w + 1", "z": "g + 3", "p": "z + 17", "u": "p + 13", "y": "u + 6", "h": "y + 17", "e": "h + 3", "g": 7}, "premises": {"g": 7}, "target": "d"}, "answer": {"steps": [["w", "a + 16", "a + 17"], ["a", "x + 5", "x + 22"], ["x", "o + 5", "o + 27"], ["o", "i + 2", "i + 29"], ["i", "g + 16", "g + 45"], ["g", 7, "52"]], "target_var_name": "d", "target_value": 52, "value_dict": {"g": 7}, "is_reverse": true}}
| 24,824
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = 7; w = a + 16; y = u + 6; a = x + 5; d = w + 1; x = o + 5; z = g + 3; o = i + 2; p = z + 17; h = y + 17; i = g + 16; e = h + 3; u = p + 13. If g = 7, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 52,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = a + 16 to d, which gives d = a + 17.\n2. Substitute a = x + 5 to d, which gives d = x + 22.\n3. Substitute x = o + 5 to d, which gives d = o + 27.\n4. Substitute o = i + 2 to d, which gives d = i + 29.\n5. Substitute i = g + 16 to d, which gives d = g + 45.\n6. Substitute g = 7 to d, which gives d = 52.\n\nThus, the final answer is d = \\boxed{52}.",
"index": 24824,
"question": "Consider a system of variables where each variable is defined as follows: g = 7; w = a + 16; y = u + 6; a = x + 5; d = w + 1; x = o + 5; z = g + 3; o = i + 2; p = z + 17; h = y + 17; i = g + 16; e = h + 3; u = p + 13. If g = 7, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"k": "f + 20", "x": "k + 10", "s": "x + 4", "n": "s + 10", "e": "n + 5", "p": "e + 13", "j": "f + 8", "u": "j + 4", "g": "u + 20", "b": "g + 6", "i": "b + 7", "d": "i + 8", "f": 15}, "premises": {"f": 15}, "target": "p"}, "answer": {"steps": [["e", "n + 5", "n + 18"], ["n", "s + 10", "s + 28"], ["s", "x + 4", "x + 32"], ["x", "k + 10", "k + 42"], ["k", "f + 20", "f + 62"], ["f", 15, "77"]], "target_var_name": "p", "target_value": 77, "value_dict": {"f": 15}, "is_reverse": true}}
| 24,825
| 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 = f + 8; p = e + 13; s = x + 4; k = f + 20; n = s + 10; e = n + 5; x = k + 10; i = b + 7; b = g + 6; g = u + 20; f = 15; d = i + 8; u = j + 4. If f = 15, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = n + 5 to p, which gives p = n + 18.\n2. Substitute n = s + 10 to p, which gives p = s + 28.\n3. Substitute s = x + 4 to p, which gives p = x + 32.\n4. Substitute x = k + 10 to p, which gives p = k + 42.\n5. Substitute k = f + 20 to p, which gives p = f + 62.\n6. Substitute f = 15 to p, which gives p = 77.\n\nThus, the final answer is p = \\boxed{77}.",
"index": 24825,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = f + 8; p = e + 13; s = x + 4; k = f + 20; n = s + 10; e = n + 5; x = k + 10; i = b + 7; b = g + 6; g = u + 20; f = 15; d = i + 8; u = j + 4. If f = 15, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"r": "y + 7", "b": "r + 4", "u": "b + 20", "c": "u + 14", "n": "c + 16", "t": "n + 17", "w": "y + 13", "d": "w + 19", "o": "d + 8", "m": "o + 11", "i": "m + 3", "l": "i + 19", "y": 6}, "premises": {"y": 6}, "target": "t"}, "answer": {"steps": [["n", "c + 16", "c + 33"], ["c", "u + 14", "u + 47"], ["u", "b + 20", "b + 67"], ["b", "r + 4", "r + 71"], ["r", "y + 7", "y + 78"], ["y", 6, "84"]], "target_var_name": "t", "target_value": 84, "value_dict": {"y": 6}, "is_reverse": true}}
| 24,826
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = w + 19; y = 6; n = c + 16; i = m + 3; m = o + 11; r = y + 7; o = d + 8; b = r + 4; w = y + 13; l = i + 19; t = n + 17; c = u + 14; u = b + 20. If y = 6, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = c + 16 to t, which gives t = c + 33.\n2. Substitute c = u + 14 to t, which gives t = u + 47.\n3. Substitute u = b + 20 to t, which gives t = b + 67.\n4. Substitute b = r + 4 to t, which gives t = r + 71.\n5. Substitute r = y + 7 to t, which gives t = y + 78.\n6. Substitute y = 6 to t, which gives t = 84.\n\nThus, the final answer is t = \\boxed{84}.",
"index": 24826,
"question": "Consider a system of variables where each variable is defined as follows: d = w + 19; y = 6; n = c + 16; i = m + 3; m = o + 11; r = y + 7; o = d + 8; b = r + 4; w = y + 13; l = i + 19; t = n + 17; c = u + 14; u = b + 20. If y = 6, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"u": "y + 7", "h": "u + 3", "t": "h + 3", "e": "t + 16", "f": "e + 18", "r": "f + 5", "z": "y + 19", "s": "z + 6", "g": "s + 1", "d": "g + 20", "m": "d + 8", "c": "m + 13", "y": 7}, "premises": {"y": 7}, "target": "r"}, "answer": {"steps": [["f", "e + 18", "e + 23"], ["e", "t + 16", "t + 39"], ["t", "h + 3", "h + 42"], ["h", "u + 3", "u + 45"], ["u", "y + 7", "y + 52"], ["y", 7, "59"]], "target_var_name": "r", "target_value": 59, "value_dict": {"y": 7}, "is_reverse": true}}
| 24,827
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = d + 8; t = h + 3; g = s + 1; d = g + 20; f = e + 18; c = m + 13; u = y + 7; h = u + 3; y = 7; s = z + 6; r = f + 5; z = y + 19; e = t + 16. If y = 7, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = e + 18 to r, which gives r = e + 23.\n2. Substitute e = t + 16 to r, which gives r = t + 39.\n3. Substitute t = h + 3 to r, which gives r = h + 42.\n4. Substitute h = u + 3 to r, which gives r = u + 45.\n5. Substitute u = y + 7 to r, which gives r = y + 52.\n6. Substitute y = 7 to r, which gives r = 59.\n\nThus, the final answer is r = \\boxed{59}.",
"index": 24827,
"question": "Consider a system of variables where each variable is defined as follows: m = d + 8; t = h + 3; g = s + 1; d = g + 20; f = e + 18; c = m + 13; u = y + 7; h = u + 3; y = 7; s = z + 6; r = f + 5; z = y + 19; e = t + 16. If y = 7, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"c": "s + 6", "r": "c + 9", "o": "r + 10", "g": "o + 16", "p": "g + 5", "m": "p + 7", "l": "s + 17", "z": "l + 1", "a": "z + 2", "e": "a + 3", "n": "e + 8", "k": "n + 3", "s": 2}, "premises": {"s": 2}, "target": "m"}, "answer": {"steps": [["p", "g + 5", "g + 12"], ["g", "o + 16", "o + 28"], ["o", "r + 10", "r + 38"], ["r", "c + 9", "c + 47"], ["c", "s + 6", "s + 53"], ["s", 2, "55"]], "target_var_name": "m", "target_value": 55, "value_dict": {"s": 2}, "is_reverse": true}}
| 24,828
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = s + 17; e = a + 3; g = o + 16; m = p + 7; r = c + 9; p = g + 5; c = s + 6; z = l + 1; a = z + 2; o = r + 10; n = e + 8; s = 2; k = n + 3. Given that s = 2, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = g + 5 to m, which gives m = g + 12.\n2. Substitute g = o + 16 to m, which gives m = o + 28.\n3. Substitute o = r + 10 to m, which gives m = r + 38.\n4. Substitute r = c + 9 to m, which gives m = c + 47.\n5. Substitute c = s + 6 to m, which gives m = s + 53.\n6. Substitute s = 2 to m, which gives m = 55.\n\nThus, the final answer is m = \\boxed{55}.",
"index": 24828,
"question": "Suppose a collection of variables is related by the following definitions: l = s + 17; e = a + 3; g = o + 16; m = p + 7; r = c + 9; p = g + 5; c = s + 6; z = l + 1; a = z + 2; o = r + 10; n = e + 8; s = 2; k = n + 3. Given that s = 2, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"w": "l + 1", "k": "w + 5", "h": "k + 20", "x": "h + 13", "y": "x + 18", "o": "y + 6", "c": "l + 5", "z": "c + 12", "g": "z + 16", "p": "g + 13", "n": "p + 8", "a": "n + 4", "l": 16}, "premises": {"l": 16}, "target": "o"}, "answer": {"steps": [["y", "x + 18", "x + 24"], ["x", "h + 13", "h + 37"], ["h", "k + 20", "k + 57"], ["k", "w + 5", "w + 62"], ["w", "l + 1", "l + 63"], ["l", 16, "79"]], "target_var_name": "o", "target_value": 79, "value_dict": {"l": 16}, "is_reverse": true}}
| 24,829
| 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 = p + 8; h = k + 20; o = y + 6; a = n + 4; c = l + 5; p = g + 13; k = w + 5; z = c + 12; l = 16; x = h + 13; w = l + 1; g = z + 16; y = x + 18. If l = 16, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = x + 18 to o, which gives o = x + 24.\n2. Substitute x = h + 13 to o, which gives o = h + 37.\n3. Substitute h = k + 20 to o, which gives o = k + 57.\n4. Substitute k = w + 5 to o, which gives o = w + 62.\n5. Substitute w = l + 1 to o, which gives o = l + 63.\n6. Substitute l = 16 to o, which gives o = 79.\n\nThus, the final answer is o = \\boxed{79}.",
"index": 24829,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = p + 8; h = k + 20; o = y + 6; a = n + 4; c = l + 5; p = g + 13; k = w + 5; z = c + 12; l = 16; x = h + 13; w = l + 1; g = z + 16; y = x + 18. If l = 16, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"r": "c + 17", "a": "r + 16", "k": "a + 20", "b": "k + 1", "v": "b + 19", "q": "v + 4", "u": "c + 20", "p": "u + 13", "h": "p + 1", "j": "h + 10", "t": "j + 1", "i": "t + 6", "c": 18}, "premises": {"c": 18}, "target": "q"}, "answer": {"steps": [["v", "b + 19", "b + 23"], ["b", "k + 1", "k + 24"], ["k", "a + 20", "a + 44"], ["a", "r + 16", "r + 60"], ["r", "c + 17", "c + 77"], ["c", 18, "95"]], "target_var_name": "q", "target_value": 95, "value_dict": {"c": 18}, "is_reverse": true}}
| 24,830
| 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 = j + 1; j = h + 10; r = c + 17; c = 18; u = c + 20; k = a + 20; p = u + 13; a = r + 16; v = b + 19; b = k + 1; q = v + 4; i = t + 6; h = p + 1. If c = 18, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = b + 19 to q, which gives q = b + 23.\n2. Substitute b = k + 1 to q, which gives q = k + 24.\n3. Substitute k = a + 20 to q, which gives q = a + 44.\n4. Substitute a = r + 16 to q, which gives q = r + 60.\n5. Substitute r = c + 17 to q, which gives q = c + 77.\n6. Substitute c = 18 to q, which gives q = 95.\n\nThus, the final answer is q = \\boxed{95}.",
"index": 24830,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = j + 1; j = h + 10; r = c + 17; c = 18; u = c + 20; k = a + 20; p = u + 13; a = r + 16; v = b + 19; b = k + 1; q = v + 4; i = t + 6; h = p + 1. If c = 18, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"u": "a + 15", "h": "u + 18", "n": "h + 13", "o": "n + 20", "c": "o + 11", "j": "c + 19", "r": "a + 20", "s": "r + 12", "q": "s + 8", "i": "q + 16", "m": "i + 19", "p": "m + 6", "a": 18}, "premises": {"a": 18}, "target": "j"}, "answer": {"steps": [["c", "o + 11", "o + 30"], ["o", "n + 20", "n + 50"], ["n", "h + 13", "h + 63"], ["h", "u + 18", "u + 81"], ["u", "a + 15", "a + 96"], ["a", 18, "114"]], "target_var_name": "j", "target_value": 114, "value_dict": {"a": 18}, "is_reverse": true}}
| 24,831
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = m + 6; j = c + 19; r = a + 20; a = 18; u = a + 15; n = h + 13; h = u + 18; i = q + 16; m = i + 19; c = o + 11; o = n + 20; s = r + 12; q = s + 8. Given that a = 18, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 114,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = o + 11 to j, which gives j = o + 30.\n2. Substitute o = n + 20 to j, which gives j = n + 50.\n3. Substitute n = h + 13 to j, which gives j = h + 63.\n4. Substitute h = u + 18 to j, which gives j = u + 81.\n5. Substitute u = a + 15 to j, which gives j = a + 96.\n6. Substitute a = 18 to j, which gives j = 114.\n\nThus, the final answer is j = \\boxed{114}.",
"index": 24831,
"question": "Suppose a collection of variables is related by the following definitions: p = m + 6; j = c + 19; r = a + 20; a = 18; u = a + 15; n = h + 13; h = u + 18; i = q + 16; m = i + 19; c = o + 11; o = n + 20; s = r + 12; q = s + 8. Given that a = 18, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"b": "g + 12", "e": "b + 19", "c": "e + 19", "k": "c + 6", "m": "k + 11", "f": "m + 3", "n": "g + 17", "i": "n + 7", "q": "i + 14", "h": "q + 18", "o": "h + 10", "t": "o + 16", "g": 9}, "premises": {"g": 9}, "target": "f"}, "answer": {"steps": [["m", "k + 11", "k + 14"], ["k", "c + 6", "c + 20"], ["c", "e + 19", "e + 39"], ["e", "b + 19", "b + 58"], ["b", "g + 12", "g + 70"], ["g", 9, "79"]], "target_var_name": "f", "target_value": 79, "value_dict": {"g": 9}, "is_reverse": true}}
| 24,832
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = g + 12; h = q + 18; c = e + 19; n = g + 17; k = c + 6; e = b + 19; i = n + 7; f = m + 3; q = i + 14; g = 9; m = k + 11; o = h + 10; t = o + 16. If g = 9, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = k + 11 to f, which gives f = k + 14.\n2. Substitute k = c + 6 to f, which gives f = c + 20.\n3. Substitute c = e + 19 to f, which gives f = e + 39.\n4. Substitute e = b + 19 to f, which gives f = b + 58.\n5. Substitute b = g + 12 to f, which gives f = g + 70.\n6. Substitute g = 9 to f, which gives f = 79.\n\nThus, the final answer is f = \\boxed{79}.",
"index": 24832,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = g + 12; h = q + 18; c = e + 19; n = g + 17; k = c + 6; e = b + 19; i = n + 7; f = m + 3; q = i + 14; g = 9; m = k + 11; o = h + 10; t = o + 16. If g = 9, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"z": "y + 8", "f": "z + 3", "e": "f + 20", "g": "e + 1", "d": "g + 19", "u": "d + 4", "v": "y + 4", "p": "v + 8", "q": "p + 1", "l": "q + 5", "c": "l + 14", "b": "c + 6", "y": 18}, "premises": {"y": 18}, "target": "u"}, "answer": {"steps": [["d", "g + 19", "g + 23"], ["g", "e + 1", "e + 24"], ["e", "f + 20", "f + 44"], ["f", "z + 3", "z + 47"], ["z", "y + 8", "y + 55"], ["y", 18, "73"]], "target_var_name": "u", "target_value": 73, "value_dict": {"y": 18}, "is_reverse": true}}
| 24,833
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = 18; z = y + 8; f = z + 3; c = l + 14; d = g + 19; p = v + 8; g = e + 1; b = c + 6; l = q + 5; u = d + 4; e = f + 20; v = y + 4; q = p + 1. Given that y = 18, 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 d = g + 19 to u, which gives u = g + 23.\n2. Substitute g = e + 1 to u, which gives u = e + 24.\n3. Substitute e = f + 20 to u, which gives u = f + 44.\n4. Substitute f = z + 3 to u, which gives u = z + 47.\n5. Substitute z = y + 8 to u, which gives u = y + 55.\n6. Substitute y = 18 to u, which gives u = 73.\n\nThus, the final answer is u = \\boxed{73}.",
"index": 24833,
"question": "Suppose a collection of variables is related by the following definitions: y = 18; z = y + 8; f = z + 3; c = l + 14; d = g + 19; p = v + 8; g = e + 1; b = c + 6; l = q + 5; u = d + 4; e = f + 20; v = y + 4; q = p + 1. Given that y = 18, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"i": "p + 4", "e": "i + 15", "f": "e + 17", "n": "f + 16", "l": "n + 13", "o": "l + 13", "k": "p + 17", "d": "k + 16", "g": "d + 19", "h": "g + 19", "j": "h + 3", "s": "j + 17", "p": 11}, "premises": {"p": 11}, "target": "o"}, "answer": {"steps": [["l", "n + 13", "n + 26"], ["n", "f + 16", "f + 42"], ["f", "e + 17", "e + 59"], ["e", "i + 15", "i + 74"], ["i", "p + 4", "p + 78"], ["p", 11, "89"]], "target_var_name": "o", "target_value": 89, "value_dict": {"p": 11}, "is_reverse": true}}
| 24,834
| 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 = h + 3; n = f + 16; p = 11; d = k + 16; g = d + 19; i = p + 4; o = l + 13; k = p + 17; f = e + 17; s = j + 17; e = i + 15; l = n + 13; h = g + 19. If p = 11, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = n + 13 to o, which gives o = n + 26.\n2. Substitute n = f + 16 to o, which gives o = f + 42.\n3. Substitute f = e + 17 to o, which gives o = e + 59.\n4. Substitute e = i + 15 to o, which gives o = i + 74.\n5. Substitute i = p + 4 to o, which gives o = p + 78.\n6. Substitute p = 11 to o, which gives o = 89.\n\nThus, the final answer is o = \\boxed{89}.",
"index": 24834,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = h + 3; n = f + 16; p = 11; d = k + 16; g = d + 19; i = p + 4; o = l + 13; k = p + 17; f = e + 17; s = j + 17; e = i + 15; l = n + 13; h = g + 19. If p = 11, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"p": "i + 5", "l": "p + 3", "n": "l + 16", "h": "n + 19", "m": "h + 9", "x": "m + 13", "d": "i + 5", "k": "d + 16", "b": "k + 20", "w": "b + 1", "c": "w + 10", "f": "c + 12", "i": 9}, "premises": {"i": 9}, "target": "x"}, "answer": {"steps": [["m", "h + 9", "h + 22"], ["h", "n + 19", "n + 41"], ["n", "l + 16", "l + 57"], ["l", "p + 3", "p + 60"], ["p", "i + 5", "i + 65"], ["i", 9, "74"]], "target_var_name": "x", "target_value": 74, "value_dict": {"i": 9}, "is_reverse": true}}
| 24,835
| 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 = i + 5; m = h + 9; k = d + 16; h = n + 19; w = b + 1; n = l + 16; l = p + 3; b = k + 20; i = 9; x = m + 13; c = w + 10; f = c + 12; d = i + 5. If i = 9, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = h + 9 to x, which gives x = h + 22.\n2. Substitute h = n + 19 to x, which gives x = n + 41.\n3. Substitute n = l + 16 to x, which gives x = l + 57.\n4. Substitute l = p + 3 to x, which gives x = p + 60.\n5. Substitute p = i + 5 to x, which gives x = i + 65.\n6. Substitute i = 9 to x, which gives x = 74.\n\nThus, the final answer is x = \\boxed{74}.",
"index": 24835,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = i + 5; m = h + 9; k = d + 16; h = n + 19; w = b + 1; n = l + 16; l = p + 3; b = k + 20; i = 9; x = m + 13; c = w + 10; f = c + 12; d = i + 5. If i = 9, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"p": "t + 7", "j": "p + 6", "z": "j + 8", "h": "z + 9", "a": "h + 1", "f": "a + 4", "m": "t + 16", "i": "m + 3", "d": "i + 17", "l": "d + 18", "r": "l + 6", "q": "r + 14", "t": 17}, "premises": {"t": 17}, "target": "f"}, "answer": {"steps": [["a", "h + 1", "h + 5"], ["h", "z + 9", "z + 14"], ["z", "j + 8", "j + 22"], ["j", "p + 6", "p + 28"], ["p", "t + 7", "t + 35"], ["t", 17, "52"]], "target_var_name": "f", "target_value": 52, "value_dict": {"t": 17}, "is_reverse": true}}
| 24,836
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = m + 3; d = i + 17; p = t + 7; z = j + 8; l = d + 18; r = l + 6; f = a + 4; a = h + 1; h = z + 9; q = r + 14; m = t + 16; t = 17; j = p + 6. If t = 17, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 52,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = h + 1 to f, which gives f = h + 5.\n2. Substitute h = z + 9 to f, which gives f = z + 14.\n3. Substitute z = j + 8 to f, which gives f = j + 22.\n4. Substitute j = p + 6 to f, which gives f = p + 28.\n5. Substitute p = t + 7 to f, which gives f = t + 35.\n6. Substitute t = 17 to f, which gives f = 52.\n\nThus, the final answer is f = \\boxed{52}.",
"index": 24836,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = m + 3; d = i + 17; p = t + 7; z = j + 8; l = d + 18; r = l + 6; f = a + 4; a = h + 1; h = z + 9; q = r + 14; m = t + 16; t = 17; j = p + 6. If t = 17, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"h": "t + 14", "q": "h + 14", "n": "q + 7", "g": "n + 4", "r": "g + 14", "s": "r + 14", "a": "t + 6", "c": "a + 19", "f": "c + 13", "l": "f + 2", "w": "l + 3", "u": "w + 17", "t": 14}, "premises": {"t": 14}, "target": "s"}, "answer": {"steps": [["r", "g + 14", "g + 28"], ["g", "n + 4", "n + 32"], ["n", "q + 7", "q + 39"], ["q", "h + 14", "h + 53"], ["h", "t + 14", "t + 67"], ["t", 14, "81"]], "target_var_name": "s", "target_value": 81, "value_dict": {"t": 14}, "is_reverse": true}}
| 24,837
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = c + 13; a = t + 6; t = 14; h = t + 14; r = g + 14; l = f + 2; w = l + 3; u = w + 17; q = h + 14; g = n + 4; s = r + 14; c = a + 19; n = q + 7. Given that t = 14, find the 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 r = g + 14 to s, which gives s = g + 28.\n2. Substitute g = n + 4 to s, which gives s = n + 32.\n3. Substitute n = q + 7 to s, which gives s = q + 39.\n4. Substitute q = h + 14 to s, which gives s = h + 53.\n5. Substitute h = t + 14 to s, which gives s = t + 67.\n6. Substitute t = 14 to s, which gives s = 81.\n\nThus, the final answer is s = \\boxed{81}.",
"index": 24837,
"question": "Suppose a collection of variables is related by the following definitions: f = c + 13; a = t + 6; t = 14; h = t + 14; r = g + 14; l = f + 2; w = l + 3; u = w + 17; q = h + 14; g = n + 4; s = r + 14; c = a + 19; n = q + 7. Given that t = 14, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"j": "n + 1", "u": "j + 3", "b": "u + 17", "x": "b + 9", "q": "x + 10", "k": "q + 13", "i": "n + 13", "v": "i + 2", "g": "v + 4", "s": "g + 4", "h": "s + 8", "a": "h + 8", "n": 14}, "premises": {"n": 14}, "target": "k"}, "answer": {"steps": [["q", "x + 10", "x + 23"], ["x", "b + 9", "b + 32"], ["b", "u + 17", "u + 49"], ["u", "j + 3", "j + 52"], ["j", "n + 1", "n + 53"], ["n", 14, "67"]], "target_var_name": "k", "target_value": 67, "value_dict": {"n": 14}, "is_reverse": true}}
| 24,838
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = b + 9; b = u + 17; n = 14; j = n + 1; v = i + 2; i = n + 13; u = j + 3; k = q + 13; h = s + 8; g = v + 4; s = g + 4; a = h + 8; q = x + 10. If n = 14, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = x + 10 to k, which gives k = x + 23.\n2. Substitute x = b + 9 to k, which gives k = b + 32.\n3. Substitute b = u + 17 to k, which gives k = u + 49.\n4. Substitute u = j + 3 to k, which gives k = j + 52.\n5. Substitute j = n + 1 to k, which gives k = n + 53.\n6. Substitute n = 14 to k, which gives k = 67.\n\nThus, the final answer is k = \\boxed{67}.",
"index": 24838,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = b + 9; b = u + 17; n = 14; j = n + 1; v = i + 2; i = n + 13; u = j + 3; k = q + 13; h = s + 8; g = v + 4; s = g + 4; a = h + 8; q = x + 10. If n = 14, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"n": "h + 17", "q": "n + 10", "a": "q + 9", "v": "a + 15", "j": "v + 6", "g": "j + 13", "f": "h + 2", "x": "f + 20", "i": "x + 17", "e": "i + 10", "m": "e + 11", "u": "m + 4", "h": 6}, "premises": {"h": 6}, "target": "g"}, "answer": {"steps": [["j", "v + 6", "v + 19"], ["v", "a + 15", "a + 34"], ["a", "q + 9", "q + 43"], ["q", "n + 10", "n + 53"], ["n", "h + 17", "h + 70"], ["h", 6, "76"]], "target_var_name": "g", "target_value": 76, "value_dict": {"h": 6}, "is_reverse": true}}
| 24,839
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = h + 2; a = q + 9; h = 6; g = j + 13; v = a + 15; j = v + 6; u = m + 4; i = x + 17; e = i + 10; n = h + 17; m = e + 11; x = f + 20; q = n + 10. If h = 6, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = v + 6 to g, which gives g = v + 19.\n2. Substitute v = a + 15 to g, which gives g = a + 34.\n3. Substitute a = q + 9 to g, which gives g = q + 43.\n4. Substitute q = n + 10 to g, which gives g = n + 53.\n5. Substitute n = h + 17 to g, which gives g = h + 70.\n6. Substitute h = 6 to g, which gives g = 76.\n\nThus, the final answer is g = \\boxed{76}.",
"index": 24839,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = h + 2; a = q + 9; h = 6; g = j + 13; v = a + 15; j = v + 6; u = m + 4; i = x + 17; e = i + 10; n = h + 17; m = e + 11; x = f + 20; q = n + 10. If h = 6, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"s": "l + 6", "p": "s + 3", "f": "p + 7", "r": "f + 7", "x": "r + 2", "z": "x + 11", "g": "l + 15", "o": "g + 8", "q": "o + 14", "w": "q + 7", "a": "w + 17", "e": "a + 18", "l": 2}, "premises": {"l": 2}, "target": "z"}, "answer": {"steps": [["x", "r + 2", "r + 13"], ["r", "f + 7", "f + 20"], ["f", "p + 7", "p + 27"], ["p", "s + 3", "s + 30"], ["s", "l + 6", "l + 36"], ["l", 2, "38"]], "target_var_name": "z", "target_value": 38, "value_dict": {"l": 2}, "is_reverse": true}}
| 24,840
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = r + 2; w = q + 7; a = w + 17; l = 2; r = f + 7; z = x + 11; o = g + 8; q = o + 14; s = l + 6; e = a + 18; g = l + 15; f = p + 7; p = s + 3. If l = 2, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 38,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = r + 2 to z, which gives z = r + 13.\n2. Substitute r = f + 7 to z, which gives z = f + 20.\n3. Substitute f = p + 7 to z, which gives z = p + 27.\n4. Substitute p = s + 3 to z, which gives z = s + 30.\n5. Substitute s = l + 6 to z, which gives z = l + 36.\n6. Substitute l = 2 to z, which gives z = 38.\n\nThus, the final answer is z = \\boxed{38}.",
"index": 24840,
"question": "Consider a system of variables where each variable is defined as follows: x = r + 2; w = q + 7; a = w + 17; l = 2; r = f + 7; z = x + 11; o = g + 8; q = o + 14; s = l + 6; e = a + 18; g = l + 15; f = p + 7; p = s + 3. If l = 2, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"r": "t + 11", "u": "r + 16", "z": "u + 3", "x": "z + 16", "i": "x + 11", "b": "i + 5", "a": "t + 15", "q": "a + 10", "s": "q + 12", "j": "s + 10", "d": "j + 2", "l": "d + 8", "t": 17}, "premises": {"t": 17}, "target": "b"}, "answer": {"steps": [["i", "x + 11", "x + 16"], ["x", "z + 16", "z + 32"], ["z", "u + 3", "u + 35"], ["u", "r + 16", "r + 51"], ["r", "t + 11", "t + 62"], ["t", 17, "79"]], "target_var_name": "b", "target_value": 79, "value_dict": {"t": 17}, "is_reverse": true}}
| 24,841
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = u + 3; l = d + 8; j = s + 10; i = x + 11; d = j + 2; r = t + 11; a = t + 15; u = r + 16; t = 17; b = i + 5; x = z + 16; s = q + 12; q = a + 10. Given that t = 17, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = x + 11 to b, which gives b = x + 16.\n2. Substitute x = z + 16 to b, which gives b = z + 32.\n3. Substitute z = u + 3 to b, which gives b = u + 35.\n4. Substitute u = r + 16 to b, which gives b = r + 51.\n5. Substitute r = t + 11 to b, which gives b = t + 62.\n6. Substitute t = 17 to b, which gives b = 79.\n\nThus, the final answer is b = \\boxed{79}.",
"index": 24841,
"question": "Suppose a collection of variables is related by the following definitions: z = u + 3; l = d + 8; j = s + 10; i = x + 11; d = j + 2; r = t + 11; a = t + 15; u = r + 16; t = 17; b = i + 5; x = z + 16; s = q + 12; q = a + 10. Given that t = 17, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"z": "o + 8", "m": "z + 15", "w": "m + 7", "f": "w + 12", "g": "f + 3", "t": "g + 9", "u": "o + 9", "n": "u + 17", "a": "n + 20", "e": "a + 9", "b": "e + 11", "x": "b + 7", "o": 11}, "premises": {"o": 11}, "target": "t"}, "answer": {"steps": [["g", "f + 3", "f + 12"], ["f", "w + 12", "w + 24"], ["w", "m + 7", "m + 31"], ["m", "z + 15", "z + 46"], ["z", "o + 8", "o + 54"], ["o", 11, "65"]], "target_var_name": "t", "target_value": 65, "value_dict": {"o": 11}, "is_reverse": true}}
| 24,842
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = g + 9; g = f + 3; w = m + 7; a = n + 20; x = b + 7; z = o + 8; u = o + 9; n = u + 17; b = e + 11; f = w + 12; o = 11; m = z + 15; e = a + 9. If o = 11, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = f + 3 to t, which gives t = f + 12.\n2. Substitute f = w + 12 to t, which gives t = w + 24.\n3. Substitute w = m + 7 to t, which gives t = m + 31.\n4. Substitute m = z + 15 to t, which gives t = z + 46.\n5. Substitute z = o + 8 to t, which gives t = o + 54.\n6. Substitute o = 11 to t, which gives t = 65.\n\nThus, the final answer is t = \\boxed{65}.",
"index": 24842,
"question": "Consider a system of variables where each variable is defined as follows: t = g + 9; g = f + 3; w = m + 7; a = n + 20; x = b + 7; z = o + 8; u = o + 9; n = u + 17; b = e + 11; f = w + 12; o = 11; m = z + 15; e = a + 9. If o = 11, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"b": "w + 19", "f": "b + 14", "z": "f + 20", "l": "z + 3", "y": "l + 5", "k": "y + 13", "i": "w + 14", "p": "i + 11", "v": "p + 17", "c": "v + 10", "n": "c + 12", "r": "n + 11", "w": 15}, "premises": {"w": 15}, "target": "k"}, "answer": {"steps": [["y", "l + 5", "l + 18"], ["l", "z + 3", "z + 21"], ["z", "f + 20", "f + 41"], ["f", "b + 14", "b + 55"], ["b", "w + 19", "w + 74"], ["w", 15, "89"]], "target_var_name": "k", "target_value": 89, "value_dict": {"w": 15}, "is_reverse": true}}
| 24,843
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = n + 11; v = p + 17; z = f + 20; n = c + 12; w = 15; p = i + 11; k = y + 13; l = z + 3; c = v + 10; f = b + 14; b = w + 19; i = w + 14; y = l + 5. Given that w = 15, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = l + 5 to k, which gives k = l + 18.\n2. Substitute l = z + 3 to k, which gives k = z + 21.\n3. Substitute z = f + 20 to k, which gives k = f + 41.\n4. Substitute f = b + 14 to k, which gives k = b + 55.\n5. Substitute b = w + 19 to k, which gives k = w + 74.\n6. Substitute w = 15 to k, which gives k = 89.\n\nThus, the final answer is k = \\boxed{89}.",
"index": 24843,
"question": "Suppose a collection of variables is related by the following definitions: r = n + 11; v = p + 17; z = f + 20; n = c + 12; w = 15; p = i + 11; k = y + 13; l = z + 3; c = v + 10; f = b + 14; b = w + 19; i = w + 14; y = l + 5. Given that w = 15, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"t": "i + 20", "w": "t + 2", "b": "w + 9", "l": "b + 3", "y": "l + 8", "o": "y + 1", "e": "i + 7", "h": "e + 3", "g": "h + 3", "v": "g + 17", "p": "v + 19", "x": "p + 6", "i": 16}, "premises": {"i": 16}, "target": "o"}, "answer": {"steps": [["y", "l + 8", "l + 9"], ["l", "b + 3", "b + 12"], ["b", "w + 9", "w + 21"], ["w", "t + 2", "t + 23"], ["t", "i + 20", "i + 43"], ["i", 16, "59"]], "target_var_name": "o", "target_value": 59, "value_dict": {"i": 16}, "is_reverse": true}}
| 24,844
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = p + 6; l = b + 3; y = l + 8; h = e + 3; i = 16; o = y + 1; v = g + 17; w = t + 2; g = h + 3; p = v + 19; b = w + 9; e = i + 7; t = i + 20. Given that i = 16, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = l + 8 to o, which gives o = l + 9.\n2. Substitute l = b + 3 to o, which gives o = b + 12.\n3. Substitute b = w + 9 to o, which gives o = w + 21.\n4. Substitute w = t + 2 to o, which gives o = t + 23.\n5. Substitute t = i + 20 to o, which gives o = i + 43.\n6. Substitute i = 16 to o, which gives o = 59.\n\nThus, the final answer is o = \\boxed{59}.",
"index": 24844,
"question": "Suppose a collection of variables is related by the following definitions: x = p + 6; l = b + 3; y = l + 8; h = e + 3; i = 16; o = y + 1; v = g + 17; w = t + 2; g = h + 3; p = v + 19; b = w + 9; e = i + 7; t = i + 20. Given that i = 16, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"a": "s + 14", "p": "a + 7", "n": "p + 9", "c": "n + 3", "o": "c + 17", "b": "o + 20", "u": "s + 16", "r": "u + 2", "x": "r + 4", "h": "x + 8", "i": "h + 5", "y": "i + 17", "s": 1}, "premises": {"s": 1}, "target": "b"}, "answer": {"steps": [["o", "c + 17", "c + 37"], ["c", "n + 3", "n + 40"], ["n", "p + 9", "p + 49"], ["p", "a + 7", "a + 56"], ["a", "s + 14", "s + 70"], ["s", 1, "71"]], "target_var_name": "b", "target_value": 71, "value_dict": {"s": 1}, "is_reverse": true}}
| 24,845
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = s + 16; h = x + 8; b = o + 20; i = h + 5; a = s + 14; p = a + 7; o = c + 17; s = 1; x = r + 4; r = u + 2; y = i + 17; c = n + 3; n = p + 9. If s = 1, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = c + 17 to b, which gives b = c + 37.\n2. Substitute c = n + 3 to b, which gives b = n + 40.\n3. Substitute n = p + 9 to b, which gives b = p + 49.\n4. Substitute p = a + 7 to b, which gives b = a + 56.\n5. Substitute a = s + 14 to b, which gives b = s + 70.\n6. Substitute s = 1 to b, which gives b = 71.\n\nThus, the final answer is b = \\boxed{71}.",
"index": 24845,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = s + 16; h = x + 8; b = o + 20; i = h + 5; a = s + 14; p = a + 7; o = c + 17; s = 1; x = r + 4; r = u + 2; y = i + 17; c = n + 3; n = p + 9. If s = 1, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"x": "m + 6", "z": "x + 8", "s": "z + 9", "v": "s + 7", "g": "v + 12", "t": "g + 8", "i": "m + 12", "l": "i + 9", "a": "l + 12", "w": "a + 7", "o": "w + 14", "c": "o + 13", "m": 9}, "premises": {"m": 9}, "target": "t"}, "answer": {"steps": [["g", "v + 12", "v + 20"], ["v", "s + 7", "s + 27"], ["s", "z + 9", "z + 36"], ["z", "x + 8", "x + 44"], ["x", "m + 6", "m + 50"], ["m", 9, "59"]], "target_var_name": "t", "target_value": 59, "value_dict": {"m": 9}, "is_reverse": true}}
| 24,846
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = w + 14; z = x + 8; a = l + 12; v = s + 7; c = o + 13; i = m + 12; t = g + 8; s = z + 9; l = i + 9; x = m + 6; w = a + 7; g = v + 12; m = 9. Given that m = 9, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = v + 12 to t, which gives t = v + 20.\n2. Substitute v = s + 7 to t, which gives t = s + 27.\n3. Substitute s = z + 9 to t, which gives t = z + 36.\n4. Substitute z = x + 8 to t, which gives t = x + 44.\n5. Substitute x = m + 6 to t, which gives t = m + 50.\n6. Substitute m = 9 to t, which gives t = 59.\n\nThus, the final answer is t = \\boxed{59}.",
"index": 24846,
"question": "Suppose a collection of variables is related by the following definitions: o = w + 14; z = x + 8; a = l + 12; v = s + 7; c = o + 13; i = m + 12; t = g + 8; s = z + 9; l = i + 9; x = m + 6; w = a + 7; g = v + 12; m = 9. Given that m = 9, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"h": "y + 7", "l": "h + 6", "d": "l + 7", "p": "d + 2", "c": "p + 18", "f": "c + 2", "z": "y + 13", "u": "z + 9", "a": "u + 2", "t": "a + 15", "r": "t + 9", "v": "r + 3", "y": 2}, "premises": {"y": 2}, "target": "f"}, "answer": {"steps": [["c", "p + 18", "p + 20"], ["p", "d + 2", "d + 22"], ["d", "l + 7", "l + 29"], ["l", "h + 6", "h + 35"], ["h", "y + 7", "y + 42"], ["y", 2, "44"]], "target_var_name": "f", "target_value": 44, "value_dict": {"y": 2}, "is_reverse": true}}
| 24,847
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = d + 2; t = a + 15; z = y + 13; u = z + 9; v = r + 3; h = y + 7; c = p + 18; l = h + 6; a = u + 2; y = 2; f = c + 2; d = l + 7; r = t + 9. If y = 2, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 44,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = p + 18 to f, which gives f = p + 20.\n2. Substitute p = d + 2 to f, which gives f = d + 22.\n3. Substitute d = l + 7 to f, which gives f = l + 29.\n4. Substitute l = h + 6 to f, which gives f = h + 35.\n5. Substitute h = y + 7 to f, which gives f = y + 42.\n6. Substitute y = 2 to f, which gives f = 44.\n\nThus, the final answer is f = \\boxed{44}.",
"index": 24847,
"question": "Consider a system of variables where each variable is defined as follows: p = d + 2; t = a + 15; z = y + 13; u = z + 9; v = r + 3; h = y + 7; c = p + 18; l = h + 6; a = u + 2; y = 2; f = c + 2; d = l + 7; r = t + 9. If y = 2, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"g": "a + 11", "s": "g + 8", "t": "s + 6", "b": "t + 18", "j": "b + 11", "m": "j + 1", "v": "a + 10", "q": "v + 18", "z": "q + 8", "r": "z + 17", "l": "r + 15", "p": "l + 4", "a": 12}, "premises": {"a": 12}, "target": "m"}, "answer": {"steps": [["j", "b + 11", "b + 12"], ["b", "t + 18", "t + 30"], ["t", "s + 6", "s + 36"], ["s", "g + 8", "g + 44"], ["g", "a + 11", "a + 55"], ["a", 12, "67"]], "target_var_name": "m", "target_value": 67, "value_dict": {"a": 12}, "is_reverse": true}}
| 24,848
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = z + 17; s = g + 8; m = j + 1; p = l + 4; j = b + 11; a = 12; z = q + 8; b = t + 18; g = a + 11; q = v + 18; t = s + 6; l = r + 15; v = a + 10. Given that a = 12, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = b + 11 to m, which gives m = b + 12.\n2. Substitute b = t + 18 to m, which gives m = t + 30.\n3. Substitute t = s + 6 to m, which gives m = s + 36.\n4. Substitute s = g + 8 to m, which gives m = g + 44.\n5. Substitute g = a + 11 to m, which gives m = a + 55.\n6. Substitute a = 12 to m, which gives m = 67.\n\nThus, the final answer is m = \\boxed{67}.",
"index": 24848,
"question": "Suppose a collection of variables is related by the following definitions: r = z + 17; s = g + 8; m = j + 1; p = l + 4; j = b + 11; a = 12; z = q + 8; b = t + 18; g = a + 11; q = v + 18; t = s + 6; l = r + 15; v = a + 10. Given that a = 12, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"u": "q + 11", "d": "u + 8", "k": "d + 15", "t": "k + 1", "w": "t + 8", "z": "w + 6", "f": "q + 10", "l": "f + 14", "r": "l + 3", "h": "r + 9", "b": "h + 1", "e": "b + 10", "q": 16}, "premises": {"q": 16}, "target": "z"}, "answer": {"steps": [["w", "t + 8", "t + 14"], ["t", "k + 1", "k + 15"], ["k", "d + 15", "d + 30"], ["d", "u + 8", "u + 38"], ["u", "q + 11", "q + 49"], ["q", 16, "65"]], "target_var_name": "z", "target_value": 65, "value_dict": {"q": 16}, "is_reverse": true}}
| 24,849
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = b + 10; u = q + 11; b = h + 1; t = k + 1; d = u + 8; f = q + 10; l = f + 14; r = l + 3; z = w + 6; w = t + 8; h = r + 9; q = 16; k = d + 15. If q = 16, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = t + 8 to z, which gives z = t + 14.\n2. Substitute t = k + 1 to z, which gives z = k + 15.\n3. Substitute k = d + 15 to z, which gives z = d + 30.\n4. Substitute d = u + 8 to z, which gives z = u + 38.\n5. Substitute u = q + 11 to z, which gives z = q + 49.\n6. Substitute q = 16 to z, which gives z = 65.\n\nThus, the final answer is z = \\boxed{65}.",
"index": 24849,
"question": "Consider a system of variables where each variable is defined as follows: e = b + 10; u = q + 11; b = h + 1; t = k + 1; d = u + 8; f = q + 10; l = f + 14; r = l + 3; z = w + 6; w = t + 8; h = r + 9; q = 16; k = d + 15. If q = 16, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"i": "u + 15", "y": "i + 14", "v": "y + 20", "r": "v + 17", "o": "r + 1", "l": "o + 17", "c": "u + 9", "p": "c + 10", "w": "p + 6", "q": "w + 14", "e": "q + 14", "d": "e + 12", "u": 8}, "premises": {"u": 8}, "target": "l"}, "answer": {"steps": [["o", "r + 1", "r + 18"], ["r", "v + 17", "v + 35"], ["v", "y + 20", "y + 55"], ["y", "i + 14", "i + 69"], ["i", "u + 15", "u + 84"], ["u", 8, "92"]], "target_var_name": "l", "target_value": 92, "value_dict": {"u": 8}, "is_reverse": true}}
| 24,850
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = 8; v = y + 20; w = p + 6; c = u + 9; r = v + 17; i = u + 15; d = e + 12; q = w + 14; y = i + 14; o = r + 1; l = o + 17; e = q + 14; p = c + 10. If u = 8, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = r + 1 to l, which gives l = r + 18.\n2. Substitute r = v + 17 to l, which gives l = v + 35.\n3. Substitute v = y + 20 to l, which gives l = y + 55.\n4. Substitute y = i + 14 to l, which gives l = i + 69.\n5. Substitute i = u + 15 to l, which gives l = u + 84.\n6. Substitute u = 8 to l, which gives l = 92.\n\nThus, the final answer is l = \\boxed{92}.",
"index": 24850,
"question": "Consider a system of variables where each variable is defined as follows: u = 8; v = y + 20; w = p + 6; c = u + 9; r = v + 17; i = u + 15; d = e + 12; q = w + 14; y = i + 14; o = r + 1; l = o + 17; e = q + 14; p = c + 10. If u = 8, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"t": "g + 7", "k": "t + 14", "h": "k + 2", "w": "h + 7", "r": "w + 18", "i": "r + 20", "p": "g + 14", "z": "p + 12", "m": "z + 10", "u": "m + 12", "f": "u + 14", "l": "f + 7", "g": 7}, "premises": {"g": 7}, "target": "i"}, "answer": {"steps": [["r", "w + 18", "w + 38"], ["w", "h + 7", "h + 45"], ["h", "k + 2", "k + 47"], ["k", "t + 14", "t + 61"], ["t", "g + 7", "g + 68"], ["g", 7, "75"]], "target_var_name": "i", "target_value": 75, "value_dict": {"g": 7}, "is_reverse": true}}
| 24,851
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = w + 18; p = g + 14; u = m + 12; w = h + 7; k = t + 14; g = 7; l = f + 7; t = g + 7; m = z + 10; h = k + 2; f = u + 14; z = p + 12; i = r + 20. If g = 7, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = w + 18 to i, which gives i = w + 38.\n2. Substitute w = h + 7 to i, which gives i = h + 45.\n3. Substitute h = k + 2 to i, which gives i = k + 47.\n4. Substitute k = t + 14 to i, which gives i = t + 61.\n5. Substitute t = g + 7 to i, which gives i = g + 68.\n6. Substitute g = 7 to i, which gives i = 75.\n\nThus, the final answer is i = \\boxed{75}.",
"index": 24851,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = w + 18; p = g + 14; u = m + 12; w = h + 7; k = t + 14; g = 7; l = f + 7; t = g + 7; m = z + 10; h = k + 2; f = u + 14; z = p + 12; i = r + 20. If g = 7, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"w": "x + 3", "t": "w + 16", "d": "t + 8", "b": "d + 18", "j": "b + 1", "k": "j + 19", "n": "x + 3", "a": "n + 12", "f": "a + 8", "g": "f + 16", "y": "g + 17", "l": "y + 7", "x": 9}, "premises": {"x": 9}, "target": "k"}, "answer": {"steps": [["j", "b + 1", "b + 20"], ["b", "d + 18", "d + 38"], ["d", "t + 8", "t + 46"], ["t", "w + 16", "w + 62"], ["w", "x + 3", "x + 65"], ["x", 9, "74"]], "target_var_name": "k", "target_value": 74, "value_dict": {"x": 9}, "is_reverse": true}}
| 24,852
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = 9; n = x + 3; k = j + 19; y = g + 17; g = f + 16; j = b + 1; w = x + 3; b = d + 18; a = n + 12; t = w + 16; f = a + 8; l = y + 7; d = t + 8. If x = 9, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = b + 1 to k, which gives k = b + 20.\n2. Substitute b = d + 18 to k, which gives k = d + 38.\n3. Substitute d = t + 8 to k, which gives k = t + 46.\n4. Substitute t = w + 16 to k, which gives k = w + 62.\n5. Substitute w = x + 3 to k, which gives k = x + 65.\n6. Substitute x = 9 to k, which gives k = 74.\n\nThus, the final answer is k = \\boxed{74}.",
"index": 24852,
"question": "Consider a system of variables where each variable is defined as follows: x = 9; n = x + 3; k = j + 19; y = g + 17; g = f + 16; j = b + 1; w = x + 3; b = d + 18; a = n + 12; t = w + 16; f = a + 8; l = y + 7; d = t + 8. If x = 9, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"g": "k + 12", "e": "g + 11", "i": "e + 18", "t": "i + 3", "y": "t + 7", "m": "y + 12", "j": "k + 12", "q": "j + 3", "u": "q + 7", "r": "u + 18", "c": "r + 2", "w": "c + 17", "k": 9}, "premises": {"k": 9}, "target": "m"}, "answer": {"steps": [["y", "t + 7", "t + 19"], ["t", "i + 3", "i + 22"], ["i", "e + 18", "e + 40"], ["e", "g + 11", "g + 51"], ["g", "k + 12", "k + 63"], ["k", 9, "72"]], "target_var_name": "m", "target_value": 72, "value_dict": {"k": 9}, "is_reverse": true}}
| 24,853
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = e + 18; j = k + 12; m = y + 12; w = c + 17; t = i + 3; k = 9; q = j + 3; g = k + 12; e = g + 11; u = q + 7; y = t + 7; r = u + 18; c = r + 2. Given that k = 9, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = t + 7 to m, which gives m = t + 19.\n2. Substitute t = i + 3 to m, which gives m = i + 22.\n3. Substitute i = e + 18 to m, which gives m = e + 40.\n4. Substitute e = g + 11 to m, which gives m = g + 51.\n5. Substitute g = k + 12 to m, which gives m = k + 63.\n6. Substitute k = 9 to m, which gives m = 72.\n\nThus, the final answer is m = \\boxed{72}.",
"index": 24853,
"question": "Suppose a collection of variables is related by the following definitions: i = e + 18; j = k + 12; m = y + 12; w = c + 17; t = i + 3; k = 9; q = j + 3; g = k + 12; e = g + 11; u = q + 7; y = t + 7; r = u + 18; c = r + 2. Given that k = 9, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"o": "e + 16", "r": "o + 6", "y": "r + 14", "s": "y + 20", "a": "s + 1", "p": "a + 16", "h": "e + 1", "i": "h + 13", "b": "i + 20", "g": "b + 11", "n": "g + 2", "f": "n + 20", "e": 18}, "premises": {"e": 18}, "target": "p"}, "answer": {"steps": [["a", "s + 1", "s + 17"], ["s", "y + 20", "y + 37"], ["y", "r + 14", "r + 51"], ["r", "o + 6", "o + 57"], ["o", "e + 16", "e + 73"], ["e", 18, "91"]], "target_var_name": "p", "target_value": 91, "value_dict": {"e": 18}, "is_reverse": true}}
| 24,854
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = g + 2; a = s + 1; e = 18; o = e + 16; b = i + 20; s = y + 20; r = o + 6; f = n + 20; i = h + 13; g = b + 11; p = a + 16; h = e + 1; y = r + 14. Given that e = 18, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = s + 1 to p, which gives p = s + 17.\n2. Substitute s = y + 20 to p, which gives p = y + 37.\n3. Substitute y = r + 14 to p, which gives p = r + 51.\n4. Substitute r = o + 6 to p, which gives p = o + 57.\n5. Substitute o = e + 16 to p, which gives p = e + 73.\n6. Substitute e = 18 to p, which gives p = 91.\n\nThus, the final answer is p = \\boxed{91}.",
"index": 24854,
"question": "Suppose a collection of variables is related by the following definitions: n = g + 2; a = s + 1; e = 18; o = e + 16; b = i + 20; s = y + 20; r = o + 6; f = n + 20; i = h + 13; g = b + 11; p = a + 16; h = e + 1; y = r + 14. Given that e = 18, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"i": "u + 15", "r": "i + 8", "a": "r + 12", "j": "a + 20", "e": "j + 11", "g": "e + 10", "o": "u + 15", "v": "o + 2", "l": "v + 6", "z": "l + 15", "k": "z + 3", "t": "k + 10", "u": 8}, "premises": {"u": 8}, "target": "g"}, "answer": {"steps": [["e", "j + 11", "j + 21"], ["j", "a + 20", "a + 41"], ["a", "r + 12", "r + 53"], ["r", "i + 8", "i + 61"], ["i", "u + 15", "u + 76"], ["u", 8, "84"]], "target_var_name": "g", "target_value": 84, "value_dict": {"u": 8}, "is_reverse": true}}
| 24,855
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = o + 2; l = v + 6; i = u + 15; a = r + 12; k = z + 3; z = l + 15; o = u + 15; u = 8; g = e + 10; j = a + 20; r = i + 8; e = j + 11; t = k + 10. Given that u = 8, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = j + 11 to g, which gives g = j + 21.\n2. Substitute j = a + 20 to g, which gives g = a + 41.\n3. Substitute a = r + 12 to g, which gives g = r + 53.\n4. Substitute r = i + 8 to g, which gives g = i + 61.\n5. Substitute i = u + 15 to g, which gives g = u + 76.\n6. Substitute u = 8 to g, which gives g = 84.\n\nThus, the final answer is g = \\boxed{84}.",
"index": 24855,
"question": "Suppose a collection of variables is related by the following definitions: v = o + 2; l = v + 6; i = u + 15; a = r + 12; k = z + 3; z = l + 15; o = u + 15; u = 8; g = e + 10; j = a + 20; r = i + 8; e = j + 11; t = k + 10. Given that u = 8, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"p": "x + 16", "k": "p + 3", "a": "k + 1", "e": "a + 14", "r": "e + 8", "b": "r + 10", "c": "x + 16", "j": "c + 14", "t": "j + 2", "z": "t + 19", "q": "z + 10", "h": "q + 3", "x": 2}, "premises": {"x": 2}, "target": "b"}, "answer": {"steps": [["r", "e + 8", "e + 18"], ["e", "a + 14", "a + 32"], ["a", "k + 1", "k + 33"], ["k", "p + 3", "p + 36"], ["p", "x + 16", "x + 52"], ["x", 2, "54"]], "target_var_name": "b", "target_value": 54, "value_dict": {"x": 2}, "is_reverse": true}}
| 24,856
| 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 = 2; t = j + 2; p = x + 16; q = z + 10; j = c + 14; z = t + 19; r = e + 8; c = x + 16; h = q + 3; b = r + 10; a = k + 1; e = a + 14; k = p + 3. If x = 2, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = e + 8 to b, which gives b = e + 18.\n2. Substitute e = a + 14 to b, which gives b = a + 32.\n3. Substitute a = k + 1 to b, which gives b = k + 33.\n4. Substitute k = p + 3 to b, which gives b = p + 36.\n5. Substitute p = x + 16 to b, which gives b = x + 52.\n6. Substitute x = 2 to b, which gives b = 54.\n\nThus, the final answer is b = \\boxed{54}.",
"index": 24856,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = 2; t = j + 2; p = x + 16; q = z + 10; j = c + 14; z = t + 19; r = e + 8; c = x + 16; h = q + 3; b = r + 10; a = k + 1; e = a + 14; k = p + 3. If x = 2, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"v": "r + 13", "g": "v + 4", "m": "g + 6", "p": "m + 4", "o": "p + 18", "x": "o + 14", "f": "r + 18", "c": "f + 8", "e": "c + 4", "z": "e + 2", "k": "z + 11", "i": "k + 18", "r": 6}, "premises": {"r": 6}, "target": "x"}, "answer": {"steps": [["o", "p + 18", "p + 32"], ["p", "m + 4", "m + 36"], ["m", "g + 6", "g + 42"], ["g", "v + 4", "v + 46"], ["v", "r + 13", "r + 59"], ["r", 6, "65"]], "target_var_name": "x", "target_value": 65, "value_dict": {"r": 6}, "is_reverse": true}}
| 24,857
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = f + 8; m = g + 6; o = p + 18; k = z + 11; g = v + 4; r = 6; v = r + 13; i = k + 18; z = e + 2; p = m + 4; x = o + 14; f = r + 18; e = c + 4. If r = 6, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = p + 18 to x, which gives x = p + 32.\n2. Substitute p = m + 4 to x, which gives x = m + 36.\n3. Substitute m = g + 6 to x, which gives x = g + 42.\n4. Substitute g = v + 4 to x, which gives x = v + 46.\n5. Substitute v = r + 13 to x, which gives x = r + 59.\n6. Substitute r = 6 to x, which gives x = 65.\n\nThus, the final answer is x = \\boxed{65}.",
"index": 24857,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = f + 8; m = g + 6; o = p + 18; k = z + 11; g = v + 4; r = 6; v = r + 13; i = k + 18; z = e + 2; p = m + 4; x = o + 14; f = r + 18; e = c + 4. If r = 6, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"a": "x + 18", "p": "a + 17", "s": "p + 15", "n": "s + 8", "m": "n + 16", "o": "m + 13", "t": "x + 12", "z": "t + 8", "f": "z + 12", "h": "f + 4", "q": "h + 4", "j": "q + 12", "x": 13}, "premises": {"x": 13}, "target": "o"}, "answer": {"steps": [["m", "n + 16", "n + 29"], ["n", "s + 8", "s + 37"], ["s", "p + 15", "p + 52"], ["p", "a + 17", "a + 69"], ["a", "x + 18", "x + 87"], ["x", 13, "100"]], "target_var_name": "o", "target_value": 100, "value_dict": {"x": 13}, "is_reverse": true}}
| 24,858
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = z + 12; m = n + 16; o = m + 13; a = x + 18; n = s + 8; q = h + 4; p = a + 17; z = t + 8; t = x + 12; x = 13; j = q + 12; s = p + 15; h = f + 4. If x = 13, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 100,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = n + 16 to o, which gives o = n + 29.\n2. Substitute n = s + 8 to o, which gives o = s + 37.\n3. Substitute s = p + 15 to o, which gives o = p + 52.\n4. Substitute p = a + 17 to o, which gives o = a + 69.\n5. Substitute a = x + 18 to o, which gives o = x + 87.\n6. Substitute x = 13 to o, which gives o = 100.\n\nThus, the final answer is o = \\boxed{100}.",
"index": 24858,
"question": "Consider a system of variables where each variable is defined as follows: f = z + 12; m = n + 16; o = m + 13; a = x + 18; n = s + 8; q = h + 4; p = a + 17; z = t + 8; t = x + 12; x = 13; j = q + 12; s = p + 15; h = f + 4. If x = 13, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"j": "y + 6", "v": "j + 12", "f": "v + 17", "g": "f + 6", "z": "g + 12", "o": "z + 10", "l": "y + 15", "b": "l + 1", "q": "b + 1", "x": "q + 17", "k": "x + 5", "e": "k + 3", "y": 9}, "premises": {"y": 9}, "target": "o"}, "answer": {"steps": [["z", "g + 12", "g + 22"], ["g", "f + 6", "f + 28"], ["f", "v + 17", "v + 45"], ["v", "j + 12", "j + 57"], ["j", "y + 6", "y + 63"], ["y", 9, "72"]], "target_var_name": "o", "target_value": 72, "value_dict": {"y": 9}, "is_reverse": true}}
| 24,859
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = g + 12; f = v + 17; g = f + 6; v = j + 12; q = b + 1; k = x + 5; y = 9; e = k + 3; o = z + 10; j = y + 6; l = y + 15; b = l + 1; x = q + 17. Given that y = 9, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = g + 12 to o, which gives o = g + 22.\n2. Substitute g = f + 6 to o, which gives o = f + 28.\n3. Substitute f = v + 17 to o, which gives o = v + 45.\n4. Substitute v = j + 12 to o, which gives o = j + 57.\n5. Substitute j = y + 6 to o, which gives o = y + 63.\n6. Substitute y = 9 to o, which gives o = 72.\n\nThus, the final answer is o = \\boxed{72}.",
"index": 24859,
"question": "Suppose a collection of variables is related by the following definitions: z = g + 12; f = v + 17; g = f + 6; v = j + 12; q = b + 1; k = x + 5; y = 9; e = k + 3; o = z + 10; j = y + 6; l = y + 15; b = l + 1; x = q + 17. Given that y = 9, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"o": "p + 1", "d": "o + 14", "m": "d + 9", "z": "m + 1", "w": "z + 15", "n": "w + 2", "j": "p + 5", "y": "j + 7", "h": "y + 15", "a": "h + 5", "b": "a + 10", "t": "b + 16", "p": 7}, "premises": {"p": 7}, "target": "n"}, "answer": {"steps": [["w", "z + 15", "z + 17"], ["z", "m + 1", "m + 18"], ["m", "d + 9", "d + 27"], ["d", "o + 14", "o + 41"], ["o", "p + 1", "p + 42"], ["p", 7, "49"]], "target_var_name": "n", "target_value": 49, "value_dict": {"p": 7}, "is_reverse": true}}
| 24,860
| 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 = p + 1; n = w + 2; t = b + 16; a = h + 5; z = m + 1; w = z + 15; b = a + 10; d = o + 14; y = j + 7; p = 7; h = y + 15; j = p + 5; m = d + 9. If p = 7, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = z + 15 to n, which gives n = z + 17.\n2. Substitute z = m + 1 to n, which gives n = m + 18.\n3. Substitute m = d + 9 to n, which gives n = d + 27.\n4. Substitute d = o + 14 to n, which gives n = o + 41.\n5. Substitute o = p + 1 to n, which gives n = p + 42.\n6. Substitute p = 7 to n, which gives n = 49.\n\nThus, the final answer is n = \\boxed{49}.",
"index": 24860,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = p + 1; n = w + 2; t = b + 16; a = h + 5; z = m + 1; w = z + 15; b = a + 10; d = o + 14; y = j + 7; p = 7; h = y + 15; j = p + 5; m = d + 9. If p = 7, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"u": "q + 1", "k": "u + 20", "v": "k + 1", "t": "v + 9", "i": "t + 10", "r": "i + 3", "d": "q + 2", "n": "d + 20", "p": "n + 6", "s": "p + 5", "g": "s + 18", "c": "g + 13", "q": 5}, "premises": {"q": 5}, "target": "r"}, "answer": {"steps": [["i", "t + 10", "t + 13"], ["t", "v + 9", "v + 22"], ["v", "k + 1", "k + 23"], ["k", "u + 20", "u + 43"], ["u", "q + 1", "q + 44"], ["q", 5, "49"]], "target_var_name": "r", "target_value": 49, "value_dict": {"q": 5}, "is_reverse": true}}
| 24,861
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = u + 20; v = k + 1; i = t + 10; n = d + 20; r = i + 3; g = s + 18; p = n + 6; c = g + 13; t = v + 9; q = 5; d = q + 2; s = p + 5; u = q + 1. Given that q = 5, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = t + 10 to r, which gives r = t + 13.\n2. Substitute t = v + 9 to r, which gives r = v + 22.\n3. Substitute v = k + 1 to r, which gives r = k + 23.\n4. Substitute k = u + 20 to r, which gives r = u + 43.\n5. Substitute u = q + 1 to r, which gives r = q + 44.\n6. Substitute q = 5 to r, which gives r = 49.\n\nThus, the final answer is r = \\boxed{49}.",
"index": 24861,
"question": "Suppose a collection of variables is related by the following definitions: k = u + 20; v = k + 1; i = t + 10; n = d + 20; r = i + 3; g = s + 18; p = n + 6; c = g + 13; t = v + 9; q = 5; d = q + 2; s = p + 5; u = q + 1. Given that q = 5, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"a": "t + 4", "o": "a + 17", "h": "o + 19", "x": "h + 7", "s": "x + 17", "g": "s + 6", "k": "t + 8", "n": "k + 3", "q": "n + 8", "p": "q + 3", "f": "p + 3", "l": "f + 20", "t": 16}, "premises": {"t": 16}, "target": "g"}, "answer": {"steps": [["s", "x + 17", "x + 23"], ["x", "h + 7", "h + 30"], ["h", "o + 19", "o + 49"], ["o", "a + 17", "a + 66"], ["a", "t + 4", "t + 70"], ["t", 16, "86"]], "target_var_name": "g", "target_value": 86, "value_dict": {"t": 16}, "is_reverse": true}}
| 24,862
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = f + 20; x = h + 7; f = p + 3; s = x + 17; p = q + 3; g = s + 6; t = 16; q = n + 8; n = k + 3; k = t + 8; o = a + 17; h = o + 19; a = t + 4. If t = 16, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = x + 17 to g, which gives g = x + 23.\n2. Substitute x = h + 7 to g, which gives g = h + 30.\n3. Substitute h = o + 19 to g, which gives g = o + 49.\n4. Substitute o = a + 17 to g, which gives g = a + 66.\n5. Substitute a = t + 4 to g, which gives g = t + 70.\n6. Substitute t = 16 to g, which gives g = 86.\n\nThus, the final answer is g = \\boxed{86}.",
"index": 24862,
"question": "Consider a system of variables where each variable is defined as follows: l = f + 20; x = h + 7; f = p + 3; s = x + 17; p = q + 3; g = s + 6; t = 16; q = n + 8; n = k + 3; k = t + 8; o = a + 17; h = o + 19; a = t + 4. If t = 16, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"k": "c + 1", "y": "k + 15", "m": "y + 3", "l": "m + 9", "r": "l + 17", "w": "r + 6", "f": "c + 20", "s": "f + 11", "j": "s + 6", "e": "j + 18", "x": "e + 19", "t": "x + 7", "c": 16}, "premises": {"c": 16}, "target": "w"}, "answer": {"steps": [["r", "l + 17", "l + 23"], ["l", "m + 9", "m + 32"], ["m", "y + 3", "y + 35"], ["y", "k + 15", "k + 50"], ["k", "c + 1", "c + 51"], ["c", 16, "67"]], "target_var_name": "w", "target_value": 67, "value_dict": {"c": 16}, "is_reverse": true}}
| 24,863
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = e + 19; e = j + 18; k = c + 1; w = r + 6; y = k + 15; l = m + 9; m = y + 3; c = 16; r = l + 17; s = f + 11; f = c + 20; j = s + 6; t = x + 7. If c = 16, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = l + 17 to w, which gives w = l + 23.\n2. Substitute l = m + 9 to w, which gives w = m + 32.\n3. Substitute m = y + 3 to w, which gives w = y + 35.\n4. Substitute y = k + 15 to w, which gives w = k + 50.\n5. Substitute k = c + 1 to w, which gives w = c + 51.\n6. Substitute c = 16 to w, which gives w = 67.\n\nThus, the final answer is w = \\boxed{67}.",
"index": 24863,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = e + 19; e = j + 18; k = c + 1; w = r + 6; y = k + 15; l = m + 9; m = y + 3; c = 16; r = l + 17; s = f + 11; f = c + 20; j = s + 6; t = x + 7. If c = 16, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"o": "y + 5", "h": "o + 16", "j": "h + 4", "u": "j + 11", "i": "u + 9", "f": "i + 20", "p": "y + 8", "m": "p + 4", "b": "m + 4", "d": "b + 3", "r": "d + 8", "a": "r + 13", "y": 13}, "premises": {"y": 13}, "target": "f"}, "answer": {"steps": [["i", "u + 9", "u + 29"], ["u", "j + 11", "j + 40"], ["j", "h + 4", "h + 44"], ["h", "o + 16", "o + 60"], ["o", "y + 5", "y + 65"], ["y", 13, "78"]], "target_var_name": "f", "target_value": 78, "value_dict": {"y": 13}, "is_reverse": true}}
| 24,864
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = p + 4; r = d + 8; y = 13; a = r + 13; b = m + 4; j = h + 4; h = o + 16; u = j + 11; p = y + 8; i = u + 9; d = b + 3; o = y + 5; f = i + 20. Given that y = 13, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = u + 9 to f, which gives f = u + 29.\n2. Substitute u = j + 11 to f, which gives f = j + 40.\n3. Substitute j = h + 4 to f, which gives f = h + 44.\n4. Substitute h = o + 16 to f, which gives f = o + 60.\n5. Substitute o = y + 5 to f, which gives f = y + 65.\n6. Substitute y = 13 to f, which gives f = 78.\n\nThus, the final answer is f = \\boxed{78}.",
"index": 24864,
"question": "Suppose a collection of variables is related by the following definitions: m = p + 4; r = d + 8; y = 13; a = r + 13; b = m + 4; j = h + 4; h = o + 16; u = j + 11; p = y + 8; i = u + 9; d = b + 3; o = y + 5; f = i + 20. Given that y = 13, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"e": "p + 5", "o": "e + 6", "s": "o + 15", "x": "s + 14", "a": "x + 16", "l": "a + 8", "d": "p + 11", "m": "d + 19", "r": "m + 15", "w": "r + 15", "q": "w + 15", "z": "q + 16", "p": 15}, "premises": {"p": 15}, "target": "l"}, "answer": {"steps": [["a", "x + 16", "x + 24"], ["x", "s + 14", "s + 38"], ["s", "o + 15", "o + 53"], ["o", "e + 6", "e + 59"], ["e", "p + 5", "p + 64"], ["p", 15, "79"]], "target_var_name": "l", "target_value": 79, "value_dict": {"p": 15}, "is_reverse": true}}
| 24,865
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = a + 8; a = x + 16; z = q + 16; w = r + 15; m = d + 19; q = w + 15; x = s + 14; d = p + 11; o = e + 6; s = o + 15; r = m + 15; e = p + 5; p = 15. Given that p = 15, 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 a = x + 16 to l, which gives l = x + 24.\n2. Substitute x = s + 14 to l, which gives l = s + 38.\n3. Substitute s = o + 15 to l, which gives l = o + 53.\n4. Substitute o = e + 6 to l, which gives l = e + 59.\n5. Substitute e = p + 5 to l, which gives l = p + 64.\n6. Substitute p = 15 to l, which gives l = 79.\n\nThus, the final answer is l = \\boxed{79}.",
"index": 24865,
"question": "Suppose a collection of variables is related by the following definitions: l = a + 8; a = x + 16; z = q + 16; w = r + 15; m = d + 19; q = w + 15; x = s + 14; d = p + 11; o = e + 6; s = o + 15; r = m + 15; e = p + 5; p = 15. Given that p = 15, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"s": "j + 8", "z": "s + 15", "p": "z + 6", "a": "p + 15", "r": "a + 20", "u": "r + 5", "d": "j + 17", "c": "d + 3", "q": "c + 3", "g": "q + 19", "k": "g + 6", "t": "k + 7", "j": 9}, "premises": {"j": 9}, "target": "u"}, "answer": {"steps": [["r", "a + 20", "a + 25"], ["a", "p + 15", "p + 40"], ["p", "z + 6", "z + 46"], ["z", "s + 15", "s + 61"], ["s", "j + 8", "j + 69"], ["j", 9, "78"]], "target_var_name": "u", "target_value": 78, "value_dict": {"j": 9}, "is_reverse": true}}
| 24,866
| 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 = p + 15; c = d + 3; j = 9; r = a + 20; s = j + 8; z = s + 15; u = r + 5; d = j + 17; t = k + 7; p = z + 6; k = g + 6; q = c + 3; g = q + 19. If j = 9, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = a + 20 to u, which gives u = a + 25.\n2. Substitute a = p + 15 to u, which gives u = p + 40.\n3. Substitute p = z + 6 to u, which gives u = z + 46.\n4. Substitute z = s + 15 to u, which gives u = s + 61.\n5. Substitute s = j + 8 to u, which gives u = j + 69.\n6. Substitute j = 9 to u, which gives u = 78.\n\nThus, the final answer is u = \\boxed{78}.",
"index": 24866,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = p + 15; c = d + 3; j = 9; r = a + 20; s = j + 8; z = s + 15; u = r + 5; d = j + 17; t = k + 7; p = z + 6; k = g + 6; q = c + 3; g = q + 19. If j = 9, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"x": "i + 4", "c": "x + 14", "a": "c + 14", "h": "a + 20", "g": "h + 12", "y": "g + 14", "m": "i + 13", "o": "m + 6", "j": "o + 3", "r": "j + 10", "w": "r + 15", "u": "w + 20", "i": 2}, "premises": {"i": 2}, "target": "y"}, "answer": {"steps": [["g", "h + 12", "h + 26"], ["h", "a + 20", "a + 46"], ["a", "c + 14", "c + 60"], ["c", "x + 14", "x + 74"], ["x", "i + 4", "i + 78"], ["i", 2, "80"]], "target_var_name": "y", "target_value": 80, "value_dict": {"i": 2}, "is_reverse": true}}
| 24,867
| 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 = j + 10; w = r + 15; a = c + 14; j = o + 3; y = g + 14; g = h + 12; x = i + 4; o = m + 6; m = i + 13; u = w + 20; i = 2; h = a + 20; c = x + 14. If i = 2, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = h + 12 to y, which gives y = h + 26.\n2. Substitute h = a + 20 to y, which gives y = a + 46.\n3. Substitute a = c + 14 to y, which gives y = c + 60.\n4. Substitute c = x + 14 to y, which gives y = x + 74.\n5. Substitute x = i + 4 to y, which gives y = i + 78.\n6. Substitute i = 2 to y, which gives y = 80.\n\nThus, the final answer is y = \\boxed{80}.",
"index": 24867,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = j + 10; w = r + 15; a = c + 14; j = o + 3; y = g + 14; g = h + 12; x = i + 4; o = m + 6; m = i + 13; u = w + 20; i = 2; h = a + 20; c = x + 14. If i = 2, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"b": "w + 4", "k": "b + 15", "p": "k + 8", "v": "p + 19", "s": "v + 8", "u": "s + 16", "n": "w + 12", "d": "n + 13", "a": "d + 18", "y": "a + 8", "o": "y + 8", "t": "o + 15", "w": 4}, "premises": {"w": 4}, "target": "u"}, "answer": {"steps": [["s", "v + 8", "v + 24"], ["v", "p + 19", "p + 43"], ["p", "k + 8", "k + 51"], ["k", "b + 15", "b + 66"], ["b", "w + 4", "w + 70"], ["w", 4, "74"]], "target_var_name": "u", "target_value": 74, "value_dict": {"w": 4}, "is_reverse": true}}
| 24,868
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = w + 4; t = o + 15; s = v + 8; d = n + 13; o = y + 8; k = b + 15; n = w + 12; y = a + 8; p = k + 8; w = 4; v = p + 19; u = s + 16; a = d + 18. If w = 4, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = v + 8 to u, which gives u = v + 24.\n2. Substitute v = p + 19 to u, which gives u = p + 43.\n3. Substitute p = k + 8 to u, which gives u = k + 51.\n4. Substitute k = b + 15 to u, which gives u = b + 66.\n5. Substitute b = w + 4 to u, which gives u = w + 70.\n6. Substitute w = 4 to u, which gives u = 74.\n\nThus, the final answer is u = \\boxed{74}.",
"index": 24868,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = w + 4; t = o + 15; s = v + 8; d = n + 13; o = y + 8; k = b + 15; n = w + 12; y = a + 8; p = k + 8; w = 4; v = p + 19; u = s + 16; a = d + 18. If w = 4, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"k": "v + 9", "h": "k + 16", "o": "h + 12", "q": "o + 7", "n": "q + 12", "s": "n + 12", "u": "v + 19", "w": "u + 11", "d": "w + 12", "y": "d + 3", "e": "y + 20", "b": "e + 11", "v": 17}, "premises": {"v": 17}, "target": "s"}, "answer": {"steps": [["n", "q + 12", "q + 24"], ["q", "o + 7", "o + 31"], ["o", "h + 12", "h + 43"], ["h", "k + 16", "k + 59"], ["k", "v + 9", "v + 68"], ["v", 17, "85"]], "target_var_name": "s", "target_value": 85, "value_dict": {"v": 17}, "is_reverse": true}}
| 24,869
| 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 = q + 12; k = v + 9; d = w + 12; b = e + 11; h = k + 16; y = d + 3; s = n + 12; e = y + 20; o = h + 12; w = u + 11; q = o + 7; v = 17; u = v + 19. If v = 17, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = q + 12 to s, which gives s = q + 24.\n2. Substitute q = o + 7 to s, which gives s = o + 31.\n3. Substitute o = h + 12 to s, which gives s = h + 43.\n4. Substitute h = k + 16 to s, which gives s = k + 59.\n5. Substitute k = v + 9 to s, which gives s = v + 68.\n6. Substitute v = 17 to s, which gives s = 85.\n\nThus, the final answer is s = \\boxed{85}.",
"index": 24869,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = q + 12; k = v + 9; d = w + 12; b = e + 11; h = k + 16; y = d + 3; s = n + 12; e = y + 20; o = h + 12; w = u + 11; q = o + 7; v = 17; u = v + 19. If v = 17, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"g": "t + 5", "d": "g + 4", "k": "d + 7", "p": "k + 14", "m": "p + 15", "c": "m + 2", "x": "t + 11", "w": "x + 2", "y": "w + 20", "s": "y + 6", "a": "s + 14", "b": "a + 19", "t": 16}, "premises": {"t": 16}, "target": "c"}, "answer": {"steps": [["m", "p + 15", "p + 17"], ["p", "k + 14", "k + 31"], ["k", "d + 7", "d + 38"], ["d", "g + 4", "g + 42"], ["g", "t + 5", "t + 47"], ["t", 16, "63"]], "target_var_name": "c", "target_value": 63, "value_dict": {"t": 16}, "is_reverse": true}}
| 24,870
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = s + 14; w = x + 2; y = w + 20; t = 16; g = t + 5; k = d + 7; c = m + 2; m = p + 15; b = a + 19; x = t + 11; p = k + 14; s = y + 6; d = g + 4. If t = 16, 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 m = p + 15 to c, which gives c = p + 17.\n2. Substitute p = k + 14 to c, which gives c = k + 31.\n3. Substitute k = d + 7 to c, which gives c = d + 38.\n4. Substitute d = g + 4 to c, which gives c = g + 42.\n5. Substitute g = t + 5 to c, which gives c = t + 47.\n6. Substitute t = 16 to c, which gives c = 63.\n\nThus, the final answer is c = \\boxed{63}.",
"index": 24870,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = s + 14; w = x + 2; y = w + 20; t = 16; g = t + 5; k = d + 7; c = m + 2; m = p + 15; b = a + 19; x = t + 11; p = k + 14; s = y + 6; d = g + 4. If t = 16, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"t": "e + 6", "d": "t + 12", "m": "d + 19", "i": "m + 17", "c": "i + 20", "n": "c + 12", "o": "e + 3", "v": "o + 8", "p": "v + 7", "k": "p + 7", "a": "k + 9", "u": "a + 2", "e": 2}, "premises": {"e": 2}, "target": "n"}, "answer": {"steps": [["c", "i + 20", "i + 32"], ["i", "m + 17", "m + 49"], ["m", "d + 19", "d + 68"], ["d", "t + 12", "t + 80"], ["t", "e + 6", "e + 86"], ["e", 2, "88"]], "target_var_name": "n", "target_value": 88, "value_dict": {"e": 2}, "is_reverse": true}}
| 24,871
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = t + 12; c = i + 20; o = e + 3; u = a + 2; n = c + 12; m = d + 19; t = e + 6; p = v + 7; e = 2; k = p + 7; a = k + 9; i = m + 17; v = o + 8. If e = 2, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = i + 20 to n, which gives n = i + 32.\n2. Substitute i = m + 17 to n, which gives n = m + 49.\n3. Substitute m = d + 19 to n, which gives n = d + 68.\n4. Substitute d = t + 12 to n, which gives n = t + 80.\n5. Substitute t = e + 6 to n, which gives n = e + 86.\n6. Substitute e = 2 to n, which gives n = 88.\n\nThus, the final answer is n = \\boxed{88}.",
"index": 24871,
"question": "Consider a system of variables where each variable is defined as follows: d = t + 12; c = i + 20; o = e + 3; u = a + 2; n = c + 12; m = d + 19; t = e + 6; p = v + 7; e = 2; k = p + 7; a = k + 9; i = m + 17; v = o + 8. If e = 2, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"m": "s + 9", "r": "m + 16", "d": "r + 17", "w": "d + 1", "b": "w + 19", "c": "b + 20", "y": "s + 18", "x": "y + 2", "o": "x + 13", "t": "o + 13", "q": "t + 13", "i": "q + 6", "s": 19}, "premises": {"s": 19}, "target": "c"}, "answer": {"steps": [["b", "w + 19", "w + 39"], ["w", "d + 1", "d + 40"], ["d", "r + 17", "r + 57"], ["r", "m + 16", "m + 73"], ["m", "s + 9", "s + 82"], ["s", 19, "101"]], "target_var_name": "c", "target_value": 101, "value_dict": {"s": 19}, "is_reverse": true}}
| 24,872
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = t + 13; c = b + 20; d = r + 17; x = y + 2; m = s + 9; t = o + 13; i = q + 6; y = s + 18; s = 19; w = d + 1; r = m + 16; o = x + 13; b = w + 19. Given that s = 19, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 101,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = w + 19 to c, which gives c = w + 39.\n2. Substitute w = d + 1 to c, which gives c = d + 40.\n3. Substitute d = r + 17 to c, which gives c = r + 57.\n4. Substitute r = m + 16 to c, which gives c = m + 73.\n5. Substitute m = s + 9 to c, which gives c = s + 82.\n6. Substitute s = 19 to c, which gives c = 101.\n\nThus, the final answer is c = \\boxed{101}.",
"index": 24872,
"question": "Suppose a collection of variables is related by the following definitions: q = t + 13; c = b + 20; d = r + 17; x = y + 2; m = s + 9; t = o + 13; i = q + 6; y = s + 18; s = 19; w = d + 1; r = m + 16; o = x + 13; b = w + 19. Given that s = 19, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"q": "x + 15", "v": "q + 14", "d": "v + 6", "n": "d + 20", "j": "n + 13", "a": "j + 6", "i": "x + 9", "u": "i + 6", "o": "u + 6", "b": "o + 13", "c": "b + 12", "s": "c + 17", "x": 2}, "premises": {"x": 2}, "target": "a"}, "answer": {"steps": [["j", "n + 13", "n + 19"], ["n", "d + 20", "d + 39"], ["d", "v + 6", "v + 45"], ["v", "q + 14", "q + 59"], ["q", "x + 15", "x + 74"], ["x", 2, "76"]], "target_var_name": "a", "target_value": 76, "value_dict": {"x": 2}, "is_reverse": true}}
| 24,873
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = q + 14; d = v + 6; x = 2; o = u + 6; a = j + 6; j = n + 13; q = x + 15; n = d + 20; i = x + 9; s = c + 17; b = o + 13; c = b + 12; u = i + 6. If x = 2, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = n + 13 to a, which gives a = n + 19.\n2. Substitute n = d + 20 to a, which gives a = d + 39.\n3. Substitute d = v + 6 to a, which gives a = v + 45.\n4. Substitute v = q + 14 to a, which gives a = q + 59.\n5. Substitute q = x + 15 to a, which gives a = x + 74.\n6. Substitute x = 2 to a, which gives a = 76.\n\nThus, the final answer is a = \\boxed{76}.",
"index": 24873,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = q + 14; d = v + 6; x = 2; o = u + 6; a = j + 6; j = n + 13; q = x + 15; n = d + 20; i = x + 9; s = c + 17; b = o + 13; c = b + 12; u = i + 6. If x = 2, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"h": "r + 19", "a": "h + 1", "m": "a + 4", "f": "m + 11", "v": "f + 19", "w": "v + 1", "b": "r + 18", "q": "b + 8", "c": "q + 1", "o": "c + 4", "t": "o + 12", "k": "t + 15", "r": 8}, "premises": {"r": 8}, "target": "w"}, "answer": {"steps": [["v", "f + 19", "f + 20"], ["f", "m + 11", "m + 31"], ["m", "a + 4", "a + 35"], ["a", "h + 1", "h + 36"], ["h", "r + 19", "r + 55"], ["r", 8, "63"]], "target_var_name": "w", "target_value": 63, "value_dict": {"r": 8}, "is_reverse": true}}
| 24,874
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = o + 12; b = r + 18; o = c + 4; m = a + 4; v = f + 19; c = q + 1; a = h + 1; w = v + 1; q = b + 8; f = m + 11; r = 8; k = t + 15; h = r + 19. Given that r = 8, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = f + 19 to w, which gives w = f + 20.\n2. Substitute f = m + 11 to w, which gives w = m + 31.\n3. Substitute m = a + 4 to w, which gives w = a + 35.\n4. Substitute a = h + 1 to w, which gives w = h + 36.\n5. Substitute h = r + 19 to w, which gives w = r + 55.\n6. Substitute r = 8 to w, which gives w = 63.\n\nThus, the final answer is w = \\boxed{63}.",
"index": 24874,
"question": "Suppose a collection of variables is related by the following definitions: t = o + 12; b = r + 18; o = c + 4; m = a + 4; v = f + 19; c = q + 1; a = h + 1; w = v + 1; q = b + 8; f = m + 11; r = 8; k = t + 15; h = r + 19. Given that r = 8, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"c": "q + 12", "w": "c + 7", "t": "w + 7", "y": "t + 14", "b": "y + 17", "j": "b + 11", "r": "q + 9", "a": "r + 5", "g": "a + 13", "i": "g + 2", "z": "i + 15", "x": "z + 14", "q": 11}, "premises": {"q": 11}, "target": "j"}, "answer": {"steps": [["b", "y + 17", "y + 28"], ["y", "t + 14", "t + 42"], ["t", "w + 7", "w + 49"], ["w", "c + 7", "c + 56"], ["c", "q + 12", "q + 68"], ["q", 11, "79"]], "target_var_name": "j", "target_value": 79, "value_dict": {"q": 11}, "is_reverse": true}}
| 24,875
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = r + 5; c = q + 12; z = i + 15; j = b + 11; q = 11; x = z + 14; g = a + 13; b = y + 17; w = c + 7; i = g + 2; t = w + 7; r = q + 9; y = t + 14. Given that q = 11, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = y + 17 to j, which gives j = y + 28.\n2. Substitute y = t + 14 to j, which gives j = t + 42.\n3. Substitute t = w + 7 to j, which gives j = w + 49.\n4. Substitute w = c + 7 to j, which gives j = c + 56.\n5. Substitute c = q + 12 to j, which gives j = q + 68.\n6. Substitute q = 11 to j, which gives j = 79.\n\nThus, the final answer is j = \\boxed{79}.",
"index": 24875,
"question": "Suppose a collection of variables is related by the following definitions: a = r + 5; c = q + 12; z = i + 15; j = b + 11; q = 11; x = z + 14; g = a + 13; b = y + 17; w = c + 7; i = g + 2; t = w + 7; r = q + 9; y = t + 14. Given that q = 11, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"t": "s + 11", "r": "t + 16", "i": "r + 10", "z": "i + 7", "g": "z + 14", "q": "g + 18", "y": "s + 18", "n": "y + 5", "b": "n + 13", "a": "b + 1", "w": "a + 19", "e": "w + 12", "s": 18}, "premises": {"s": 18}, "target": "q"}, "answer": {"steps": [["g", "z + 14", "z + 32"], ["z", "i + 7", "i + 39"], ["i", "r + 10", "r + 49"], ["r", "t + 16", "t + 65"], ["t", "s + 11", "s + 76"], ["s", 18, "94"]], "target_var_name": "q", "target_value": 94, "value_dict": {"s": 18}, "is_reverse": true}}
| 24,876
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = y + 5; i = r + 10; w = a + 19; z = i + 7; s = 18; g = z + 14; q = g + 18; b = n + 13; e = w + 12; t = s + 11; a = b + 1; r = t + 16; y = s + 18. Given that s = 18, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = z + 14 to q, which gives q = z + 32.\n2. Substitute z = i + 7 to q, which gives q = i + 39.\n3. Substitute i = r + 10 to q, which gives q = r + 49.\n4. Substitute r = t + 16 to q, which gives q = t + 65.\n5. Substitute t = s + 11 to q, which gives q = s + 76.\n6. Substitute s = 18 to q, which gives q = 94.\n\nThus, the final answer is q = \\boxed{94}.",
"index": 24876,
"question": "Suppose a collection of variables is related by the following definitions: n = y + 5; i = r + 10; w = a + 19; z = i + 7; s = 18; g = z + 14; q = g + 18; b = n + 13; e = w + 12; t = s + 11; a = b + 1; r = t + 16; y = s + 18. Given that s = 18, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"m": "y + 3", "c": "m + 7", "a": "c + 8", "n": "a + 18", "d": "n + 12", "q": "d + 16", "w": "y + 6", "p": "w + 2", "g": "p + 1", "h": "g + 7", "j": "h + 7", "i": "j + 12", "y": 19}, "premises": {"y": 19}, "target": "q"}, "answer": {"steps": [["d", "n + 12", "n + 28"], ["n", "a + 18", "a + 46"], ["a", "c + 8", "c + 54"], ["c", "m + 7", "m + 61"], ["m", "y + 3", "y + 64"], ["y", 19, "83"]], "target_var_name": "q", "target_value": 83, "value_dict": {"y": 19}, "is_reverse": true}}
| 24,877
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = w + 2; g = p + 1; j = h + 7; m = y + 3; y = 19; c = m + 7; a = c + 8; w = y + 6; n = a + 18; q = d + 16; h = g + 7; i = j + 12; d = n + 12. Given that y = 19, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = n + 12 to q, which gives q = n + 28.\n2. Substitute n = a + 18 to q, which gives q = a + 46.\n3. Substitute a = c + 8 to q, which gives q = c + 54.\n4. Substitute c = m + 7 to q, which gives q = m + 61.\n5. Substitute m = y + 3 to q, which gives q = y + 64.\n6. Substitute y = 19 to q, which gives q = 83.\n\nThus, the final answer is q = \\boxed{83}.",
"index": 24877,
"question": "Suppose a collection of variables is related by the following definitions: p = w + 2; g = p + 1; j = h + 7; m = y + 3; y = 19; c = m + 7; a = c + 8; w = y + 6; n = a + 18; q = d + 16; h = g + 7; i = j + 12; d = n + 12. Given that y = 19, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"t": "v + 3", "f": "t + 19", "a": "f + 11", "l": "a + 9", "r": "l + 18", "x": "r + 16", "d": "v + 13", "w": "d + 9", "q": "w + 15", "y": "q + 16", "z": "y + 17", "s": "z + 8", "v": 20}, "premises": {"v": 20}, "target": "x"}, "answer": {"steps": [["r", "l + 18", "l + 34"], ["l", "a + 9", "a + 43"], ["a", "f + 11", "f + 54"], ["f", "t + 19", "t + 73"], ["t", "v + 3", "v + 76"], ["v", 20, "96"]], "target_var_name": "x", "target_value": 96, "value_dict": {"v": 20}, "is_reverse": true}}
| 24,878
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = 20; t = v + 3; w = d + 9; r = l + 18; l = a + 9; z = y + 17; f = t + 19; s = z + 8; x = r + 16; a = f + 11; q = w + 15; y = q + 16; d = v + 13. Given that v = 20, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 96,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = l + 18 to x, which gives x = l + 34.\n2. Substitute l = a + 9 to x, which gives x = a + 43.\n3. Substitute a = f + 11 to x, which gives x = f + 54.\n4. Substitute f = t + 19 to x, which gives x = t + 73.\n5. Substitute t = v + 3 to x, which gives x = v + 76.\n6. Substitute v = 20 to x, which gives x = 96.\n\nThus, the final answer is x = \\boxed{96}.",
"index": 24878,
"question": "Suppose a collection of variables is related by the following definitions: v = 20; t = v + 3; w = d + 9; r = l + 18; l = a + 9; z = y + 17; f = t + 19; s = z + 8; x = r + 16; a = f + 11; q = w + 15; y = q + 16; d = v + 13. Given that v = 20, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"s": "n + 12", "f": "s + 19", "b": "f + 11", "x": "b + 19", "r": "x + 18", "j": "r + 16", "i": "n + 20", "q": "i + 11", "u": "q + 19", "e": "u + 1", "a": "e + 3", "w": "a + 4", "n": 16}, "premises": {"n": 16}, "target": "j"}, "answer": {"steps": [["r", "x + 18", "x + 34"], ["x", "b + 19", "b + 53"], ["b", "f + 11", "f + 64"], ["f", "s + 19", "s + 83"], ["s", "n + 12", "n + 95"], ["n", 16, "111"]], "target_var_name": "j", "target_value": 111, "value_dict": {"n": 16}, "is_reverse": true}}
| 24,879
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = u + 1; x = b + 19; r = x + 18; b = f + 11; q = i + 11; i = n + 20; f = s + 19; s = n + 12; a = e + 3; j = r + 16; u = q + 19; n = 16; w = a + 4. Given that n = 16, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 111,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = x + 18 to j, which gives j = x + 34.\n2. Substitute x = b + 19 to j, which gives j = b + 53.\n3. Substitute b = f + 11 to j, which gives j = f + 64.\n4. Substitute f = s + 19 to j, which gives j = s + 83.\n5. Substitute s = n + 12 to j, which gives j = n + 95.\n6. Substitute n = 16 to j, which gives j = 111.\n\nThus, the final answer is j = \\boxed{111}.",
"index": 24879,
"question": "Suppose a collection of variables is related by the following definitions: e = u + 1; x = b + 19; r = x + 18; b = f + 11; q = i + 11; i = n + 20; f = s + 19; s = n + 12; a = e + 3; j = r + 16; u = q + 19; n = 16; w = a + 4. Given that n = 16, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"y": "a + 7", "h": "y + 3", "j": "h + 10", "u": "j + 1", "n": "u + 16", "g": "n + 16", "m": "a + 20", "d": "m + 8", "w": "d + 12", "z": "w + 6", "i": "z + 15", "s": "i + 4", "a": 1}, "premises": {"a": 1}, "target": "g"}, "answer": {"steps": [["n", "u + 16", "u + 32"], ["u", "j + 1", "j + 33"], ["j", "h + 10", "h + 43"], ["h", "y + 3", "y + 46"], ["y", "a + 7", "a + 53"], ["a", 1, "54"]], "target_var_name": "g", "target_value": 54, "value_dict": {"a": 1}, "is_reverse": true}}
| 24,880
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = z + 15; h = y + 3; d = m + 8; y = a + 7; s = i + 4; u = j + 1; w = d + 12; n = u + 16; z = w + 6; m = a + 20; g = n + 16; j = h + 10; a = 1. Given that a = 1, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = u + 16 to g, which gives g = u + 32.\n2. Substitute u = j + 1 to g, which gives g = j + 33.\n3. Substitute j = h + 10 to g, which gives g = h + 43.\n4. Substitute h = y + 3 to g, which gives g = y + 46.\n5. Substitute y = a + 7 to g, which gives g = a + 53.\n6. Substitute a = 1 to g, which gives g = 54.\n\nThus, the final answer is g = \\boxed{54}.",
"index": 24880,
"question": "Suppose a collection of variables is related by the following definitions: i = z + 15; h = y + 3; d = m + 8; y = a + 7; s = i + 4; u = j + 1; w = d + 12; n = u + 16; z = w + 6; m = a + 20; g = n + 16; j = h + 10; a = 1. Given that a = 1, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"j": "i + 13", "x": "j + 8", "n": "x + 16", "c": "n + 20", "v": "c + 1", "y": "v + 8", "p": "i + 13", "d": "p + 7", "t": "d + 14", "q": "t + 12", "l": "q + 1", "b": "l + 10", "i": 18}, "premises": {"i": 18}, "target": "y"}, "answer": {"steps": [["v", "c + 1", "c + 9"], ["c", "n + 20", "n + 29"], ["n", "x + 16", "x + 45"], ["x", "j + 8", "j + 53"], ["j", "i + 13", "i + 66"], ["i", 18, "84"]], "target_var_name": "y", "target_value": 84, "value_dict": {"i": 18}, "is_reverse": true}}
| 24,881
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = q + 1; n = x + 16; y = v + 8; j = i + 13; i = 18; v = c + 1; t = d + 14; q = t + 12; p = i + 13; x = j + 8; b = l + 10; d = p + 7; c = n + 20. Given that i = 18, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = c + 1 to y, which gives y = c + 9.\n2. Substitute c = n + 20 to y, which gives y = n + 29.\n3. Substitute n = x + 16 to y, which gives y = x + 45.\n4. Substitute x = j + 8 to y, which gives y = j + 53.\n5. Substitute j = i + 13 to y, which gives y = i + 66.\n6. Substitute i = 18 to y, which gives y = 84.\n\nThus, the final answer is y = \\boxed{84}.",
"index": 24881,
"question": "Suppose a collection of variables is related by the following definitions: l = q + 1; n = x + 16; y = v + 8; j = i + 13; i = 18; v = c + 1; t = d + 14; q = t + 12; p = i + 13; x = j + 8; b = l + 10; d = p + 7; c = n + 20. Given that i = 18, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"o": "u + 16", "n": "o + 9", "c": "n + 4", "h": "c + 8", "i": "h + 5", "m": "i + 11", "f": "u + 5", "k": "f + 11", "a": "k + 7", "l": "a + 11", "t": "l + 18", "g": "t + 15", "u": 16}, "premises": {"u": 16}, "target": "m"}, "answer": {"steps": [["i", "h + 5", "h + 16"], ["h", "c + 8", "c + 24"], ["c", "n + 4", "n + 28"], ["n", "o + 9", "o + 37"], ["o", "u + 16", "u + 53"], ["u", 16, "69"]], "target_var_name": "m", "target_value": 69, "value_dict": {"u": 16}, "is_reverse": true}}
| 24,882
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = h + 5; l = a + 11; u = 16; g = t + 15; t = l + 18; m = i + 11; c = n + 4; k = f + 11; o = u + 16; n = o + 9; a = k + 7; h = c + 8; f = u + 5. If u = 16, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = h + 5 to m, which gives m = h + 16.\n2. Substitute h = c + 8 to m, which gives m = c + 24.\n3. Substitute c = n + 4 to m, which gives m = n + 28.\n4. Substitute n = o + 9 to m, which gives m = o + 37.\n5. Substitute o = u + 16 to m, which gives m = u + 53.\n6. Substitute u = 16 to m, which gives m = 69.\n\nThus, the final answer is m = \\boxed{69}.",
"index": 24882,
"question": "Consider a system of variables where each variable is defined as follows: i = h + 5; l = a + 11; u = 16; g = t + 15; t = l + 18; m = i + 11; c = n + 4; k = f + 11; o = u + 16; n = o + 9; a = k + 7; h = c + 8; f = u + 5. If u = 16, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"w": "u + 19", "k": "w + 9", "f": "k + 14", "z": "f + 19", "r": "z + 3", "j": "r + 16", "m": "u + 6", "c": "m + 6", "x": "c + 12", "y": "x + 2", "d": "y + 8", "i": "d + 8", "u": 7}, "premises": {"u": 7}, "target": "j"}, "answer": {"steps": [["r", "z + 3", "z + 19"], ["z", "f + 19", "f + 38"], ["f", "k + 14", "k + 52"], ["k", "w + 9", "w + 61"], ["w", "u + 19", "u + 80"], ["u", 7, "87"]], "target_var_name": "j", "target_value": 87, "value_dict": {"u": 7}, "is_reverse": true}}
| 24,883
| 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 = u + 6; f = k + 14; u = 7; k = w + 9; y = x + 2; w = u + 19; i = d + 8; c = m + 6; z = f + 19; j = r + 16; d = y + 8; r = z + 3; x = c + 12. If u = 7, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = z + 3 to j, which gives j = z + 19.\n2. Substitute z = f + 19 to j, which gives j = f + 38.\n3. Substitute f = k + 14 to j, which gives j = k + 52.\n4. Substitute k = w + 9 to j, which gives j = w + 61.\n5. Substitute w = u + 19 to j, which gives j = u + 80.\n6. Substitute u = 7 to j, which gives j = 87.\n\nThus, the final answer is j = \\boxed{87}.",
"index": 24883,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = u + 6; f = k + 14; u = 7; k = w + 9; y = x + 2; w = u + 19; i = d + 8; c = m + 6; z = f + 19; j = r + 16; d = y + 8; r = z + 3; x = c + 12. If u = 7, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"r": "l + 11", "t": "r + 4", "m": "t + 8", "j": "m + 4", "o": "j + 17", "z": "o + 10", "v": "l + 10", "u": "v + 19", "n": "u + 20", "b": "n + 6", "i": "b + 12", "h": "i + 11", "l": 14}, "premises": {"l": 14}, "target": "z"}, "answer": {"steps": [["o", "j + 17", "j + 27"], ["j", "m + 4", "m + 31"], ["m", "t + 8", "t + 39"], ["t", "r + 4", "r + 43"], ["r", "l + 11", "l + 54"], ["l", 14, "68"]], "target_var_name": "z", "target_value": 68, "value_dict": {"l": 14}, "is_reverse": true}}
| 24,884
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = j + 17; z = o + 10; j = m + 4; h = i + 11; l = 14; u = v + 19; t = r + 4; m = t + 8; n = u + 20; b = n + 6; r = l + 11; v = l + 10; i = b + 12. If l = 14, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = j + 17 to z, which gives z = j + 27.\n2. Substitute j = m + 4 to z, which gives z = m + 31.\n3. Substitute m = t + 8 to z, which gives z = t + 39.\n4. Substitute t = r + 4 to z, which gives z = r + 43.\n5. Substitute r = l + 11 to z, which gives z = l + 54.\n6. Substitute l = 14 to z, which gives z = 68.\n\nThus, the final answer is z = \\boxed{68}.",
"index": 24884,
"question": "Consider a system of variables where each variable is defined as follows: o = j + 17; z = o + 10; j = m + 4; h = i + 11; l = 14; u = v + 19; t = r + 4; m = t + 8; n = u + 20; b = n + 6; r = l + 11; v = l + 10; i = b + 12. If l = 14, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"o": "p + 4", "z": "o + 6", "v": "z + 20", "e": "v + 7", "s": "e + 6", "w": "s + 4", "k": "p + 18", "b": "k + 19", "f": "b + 12", "t": "f + 14", "i": "t + 4", "r": "i + 9", "p": 12}, "premises": {"p": 12}, "target": "w"}, "answer": {"steps": [["s", "e + 6", "e + 10"], ["e", "v + 7", "v + 17"], ["v", "z + 20", "z + 37"], ["z", "o + 6", "o + 43"], ["o", "p + 4", "p + 47"], ["p", 12, "59"]], "target_var_name": "w", "target_value": 59, "value_dict": {"p": 12}, "is_reverse": true}}
| 24,885
| 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 + 4; w = s + 4; f = b + 12; b = k + 19; e = v + 7; t = f + 14; o = p + 4; p = 12; v = z + 20; k = p + 18; s = e + 6; z = o + 6; r = i + 9. If p = 12, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = e + 6 to w, which gives w = e + 10.\n2. Substitute e = v + 7 to w, which gives w = v + 17.\n3. Substitute v = z + 20 to w, which gives w = z + 37.\n4. Substitute z = o + 6 to w, which gives w = o + 43.\n5. Substitute o = p + 4 to w, which gives w = p + 47.\n6. Substitute p = 12 to w, which gives w = 59.\n\nThus, the final answer is w = \\boxed{59}.",
"index": 24885,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = t + 4; w = s + 4; f = b + 12; b = k + 19; e = v + 7; t = f + 14; o = p + 4; p = 12; v = z + 20; k = p + 18; s = e + 6; z = o + 6; r = i + 9. If p = 12, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"b": "x + 15", "k": "b + 11", "o": "k + 15", "n": "o + 11", "g": "n + 3", "c": "g + 3", "q": "x + 7", "a": "q + 20", "h": "a + 11", "f": "h + 1", "z": "f + 10", "m": "z + 8", "x": 2}, "premises": {"x": 2}, "target": "c"}, "answer": {"steps": [["g", "n + 3", "n + 6"], ["n", "o + 11", "o + 17"], ["o", "k + 15", "k + 32"], ["k", "b + 11", "b + 43"], ["b", "x + 15", "x + 58"], ["x", 2, "60"]], "target_var_name": "c", "target_value": 60, "value_dict": {"x": 2}, "is_reverse": true}}
| 24,886
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = a + 11; k = b + 11; a = q + 20; c = g + 3; f = h + 1; o = k + 15; m = z + 8; q = x + 7; x = 2; n = o + 11; b = x + 15; g = n + 3; z = f + 10. If x = 2, determine the 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 g = n + 3 to c, which gives c = n + 6.\n2. Substitute n = o + 11 to c, which gives c = o + 17.\n3. Substitute o = k + 15 to c, which gives c = k + 32.\n4. Substitute k = b + 11 to c, which gives c = b + 43.\n5. Substitute b = x + 15 to c, which gives c = x + 58.\n6. Substitute x = 2 to c, which gives c = 60.\n\nThus, the final answer is c = \\boxed{60}.",
"index": 24886,
"question": "Consider a system of variables where each variable is defined as follows: h = a + 11; k = b + 11; a = q + 20; c = g + 3; f = h + 1; o = k + 15; m = z + 8; q = x + 7; x = 2; n = o + 11; b = x + 15; g = n + 3; z = f + 10. If x = 2, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"i": "m + 8", "y": "i + 14", "u": "y + 13", "o": "u + 13", "a": "o + 17", "l": "a + 2", "n": "m + 18", "t": "n + 6", "z": "t + 13", "v": "z + 9", "f": "v + 6", "j": "f + 15", "m": 15}, "premises": {"m": 15}, "target": "l"}, "answer": {"steps": [["a", "o + 17", "o + 19"], ["o", "u + 13", "u + 32"], ["u", "y + 13", "y + 45"], ["y", "i + 14", "i + 59"], ["i", "m + 8", "m + 67"], ["m", 15, "82"]], "target_var_name": "l", "target_value": 82, "value_dict": {"m": 15}, "is_reverse": true}}
| 24,887
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = u + 13; u = y + 13; i = m + 8; y = i + 14; m = 15; a = o + 17; l = a + 2; v = z + 9; j = f + 15; f = v + 6; z = t + 13; t = n + 6; n = m + 18. If m = 15, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = o + 17 to l, which gives l = o + 19.\n2. Substitute o = u + 13 to l, which gives l = u + 32.\n3. Substitute u = y + 13 to l, which gives l = y + 45.\n4. Substitute y = i + 14 to l, which gives l = i + 59.\n5. Substitute i = m + 8 to l, which gives l = m + 67.\n6. Substitute m = 15 to l, which gives l = 82.\n\nThus, the final answer is l = \\boxed{82}.",
"index": 24887,
"question": "Consider a system of variables where each variable is defined as follows: o = u + 13; u = y + 13; i = m + 8; y = i + 14; m = 15; a = o + 17; l = a + 2; v = z + 9; j = f + 15; f = v + 6; z = t + 13; t = n + 6; n = m + 18. If m = 15, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"r": "d + 14", "j": "r + 20", "w": "j + 10", "u": "w + 1", "s": "u + 17", "g": "s + 15", "a": "d + 14", "c": "a + 2", "e": "c + 20", "v": "e + 9", "i": "v + 9", "l": "i + 7", "d": 10}, "premises": {"d": 10}, "target": "g"}, "answer": {"steps": [["s", "u + 17", "u + 32"], ["u", "w + 1", "w + 33"], ["w", "j + 10", "j + 43"], ["j", "r + 20", "r + 63"], ["r", "d + 14", "d + 77"], ["d", 10, "87"]], "target_var_name": "g", "target_value": 87, "value_dict": {"d": 10}, "is_reverse": true}}
| 24,888
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = r + 20; l = i + 7; u = w + 1; v = e + 9; i = v + 9; c = a + 2; s = u + 17; e = c + 20; r = d + 14; w = j + 10; a = d + 14; g = s + 15; d = 10. Given that d = 10, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = u + 17 to g, which gives g = u + 32.\n2. Substitute u = w + 1 to g, which gives g = w + 33.\n3. Substitute w = j + 10 to g, which gives g = j + 43.\n4. Substitute j = r + 20 to g, which gives g = r + 63.\n5. Substitute r = d + 14 to g, which gives g = d + 77.\n6. Substitute d = 10 to g, which gives g = 87.\n\nThus, the final answer is g = \\boxed{87}.",
"index": 24888,
"question": "Suppose a collection of variables is related by the following definitions: j = r + 20; l = i + 7; u = w + 1; v = e + 9; i = v + 9; c = a + 2; s = u + 17; e = c + 20; r = d + 14; w = j + 10; a = d + 14; g = s + 15; d = 10. Given that d = 10, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"g": "n + 8", "r": "g + 5", "s": "r + 4", "t": "s + 6", "j": "t + 20", "x": "j + 16", "i": "n + 16", "w": "i + 9", "m": "w + 3", "b": "m + 11", "d": "b + 17", "e": "d + 6", "n": 20}, "premises": {"n": 20}, "target": "x"}, "answer": {"steps": [["j", "t + 20", "t + 36"], ["t", "s + 6", "s + 42"], ["s", "r + 4", "r + 46"], ["r", "g + 5", "g + 51"], ["g", "n + 8", "n + 59"], ["n", 20, "79"]], "target_var_name": "x", "target_value": 79, "value_dict": {"n": 20}, "is_reverse": true}}
| 24,889
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = m + 11; i = n + 16; m = w + 3; n = 20; d = b + 17; e = d + 6; w = i + 9; j = t + 20; x = j + 16; t = s + 6; r = g + 5; s = r + 4; g = n + 8. If n = 20, determine the 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 j = t + 20 to x, which gives x = t + 36.\n2. Substitute t = s + 6 to x, which gives x = s + 42.\n3. Substitute s = r + 4 to x, which gives x = r + 46.\n4. Substitute r = g + 5 to x, which gives x = g + 51.\n5. Substitute g = n + 8 to x, which gives x = n + 59.\n6. Substitute n = 20 to x, which gives x = 79.\n\nThus, the final answer is x = \\boxed{79}.",
"index": 24889,
"question": "Consider a system of variables where each variable is defined as follows: b = m + 11; i = n + 16; m = w + 3; n = 20; d = b + 17; e = d + 6; w = i + 9; j = t + 20; x = j + 16; t = s + 6; r = g + 5; s = r + 4; g = n + 8. If n = 20, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"z": "o + 10", "w": "z + 4", "n": "w + 6", "f": "n + 6", "h": "f + 18", "e": "h + 13", "v": "o + 10", "l": "v + 16", "b": "l + 8", "p": "b + 5", "k": "p + 7", "g": "k + 6", "o": 5}, "premises": {"o": 5}, "target": "e"}, "answer": {"steps": [["h", "f + 18", "f + 31"], ["f", "n + 6", "n + 37"], ["n", "w + 6", "w + 43"], ["w", "z + 4", "z + 47"], ["z", "o + 10", "o + 57"], ["o", 5, "62"]], "target_var_name": "e", "target_value": 62, "value_dict": {"o": 5}, "is_reverse": true}}
| 24,890
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = b + 5; o = 5; n = w + 6; g = k + 6; w = z + 4; e = h + 13; h = f + 18; z = o + 10; l = v + 16; k = p + 7; v = o + 10; f = n + 6; b = l + 8. If o = 5, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = f + 18 to e, which gives e = f + 31.\n2. Substitute f = n + 6 to e, which gives e = n + 37.\n3. Substitute n = w + 6 to e, which gives e = w + 43.\n4. Substitute w = z + 4 to e, which gives e = z + 47.\n5. Substitute z = o + 10 to e, which gives e = o + 57.\n6. Substitute o = 5 to e, which gives e = 62.\n\nThus, the final answer is e = \\boxed{62}.",
"index": 24890,
"question": "Consider a system of variables where each variable is defined as follows: p = b + 5; o = 5; n = w + 6; g = k + 6; w = z + 4; e = h + 13; h = f + 18; z = o + 10; l = v + 16; k = p + 7; v = o + 10; f = n + 6; b = l + 8. If o = 5, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"y": "w + 12", "c": "y + 19", "l": "c + 18", "u": "l + 11", "f": "u + 10", "m": "f + 17", "t": "w + 4", "o": "t + 12", "s": "o + 14", "g": "s + 15", "e": "g + 6", "n": "e + 8", "w": 2}, "premises": {"w": 2}, "target": "m"}, "answer": {"steps": [["f", "u + 10", "u + 27"], ["u", "l + 11", "l + 38"], ["l", "c + 18", "c + 56"], ["c", "y + 19", "y + 75"], ["y", "w + 12", "w + 87"], ["w", 2, "89"]], "target_var_name": "m", "target_value": 89, "value_dict": {"w": 2}, "is_reverse": true}}
| 24,891
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = l + 11; y = w + 12; l = c + 18; e = g + 6; o = t + 12; c = y + 19; f = u + 10; w = 2; n = e + 8; m = f + 17; s = o + 14; g = s + 15; t = w + 4. Given that w = 2, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = u + 10 to m, which gives m = u + 27.\n2. Substitute u = l + 11 to m, which gives m = l + 38.\n3. Substitute l = c + 18 to m, which gives m = c + 56.\n4. Substitute c = y + 19 to m, which gives m = y + 75.\n5. Substitute y = w + 12 to m, which gives m = w + 87.\n6. Substitute w = 2 to m, which gives m = 89.\n\nThus, the final answer is m = \\boxed{89}.",
"index": 24891,
"question": "Suppose a collection of variables is related by the following definitions: u = l + 11; y = w + 12; l = c + 18; e = g + 6; o = t + 12; c = y + 19; f = u + 10; w = 2; n = e + 8; m = f + 17; s = o + 14; g = s + 15; t = w + 4. Given that w = 2, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"t": "s + 18", "r": "t + 1", "f": "r + 5", "q": "f + 1", "c": "q + 15", "w": "c + 4", "y": "s + 19", "o": "y + 2", "d": "o + 12", "z": "d + 6", "u": "z + 19", "g": "u + 12", "s": 19}, "premises": {"s": 19}, "target": "w"}, "answer": {"steps": [["c", "q + 15", "q + 19"], ["q", "f + 1", "f + 20"], ["f", "r + 5", "r + 25"], ["r", "t + 1", "t + 26"], ["t", "s + 18", "s + 44"], ["s", 19, "63"]], "target_var_name": "w", "target_value": 63, "value_dict": {"s": 19}, "is_reverse": true}}
| 24,892
| 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 = y + 2; s = 19; c = q + 15; z = d + 6; f = r + 5; w = c + 4; r = t + 1; y = s + 19; g = u + 12; u = z + 19; d = o + 12; q = f + 1; t = s + 18. If s = 19, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = q + 15 to w, which gives w = q + 19.\n2. Substitute q = f + 1 to w, which gives w = f + 20.\n3. Substitute f = r + 5 to w, which gives w = r + 25.\n4. Substitute r = t + 1 to w, which gives w = t + 26.\n5. Substitute t = s + 18 to w, which gives w = s + 44.\n6. Substitute s = 19 to w, which gives w = 63.\n\nThus, the final answer is w = \\boxed{63}.",
"index": 24892,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = y + 2; s = 19; c = q + 15; z = d + 6; f = r + 5; w = c + 4; r = t + 1; y = s + 19; g = u + 12; u = z + 19; d = o + 12; q = f + 1; t = s + 18. If s = 19, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"s": "h + 6", "r": "s + 20", "d": "r + 2", "x": "d + 17", "f": "x + 5", "o": "f + 3", "y": "h + 9", "u": "y + 18", "e": "u + 11", "n": "e + 5", "v": "n + 11", "g": "v + 6", "h": 12}, "premises": {"h": 12}, "target": "o"}, "answer": {"steps": [["f", "x + 5", "x + 8"], ["x", "d + 17", "d + 25"], ["d", "r + 2", "r + 27"], ["r", "s + 20", "s + 47"], ["s", "h + 6", "h + 53"], ["h", 12, "65"]], "target_var_name": "o", "target_value": 65, "value_dict": {"h": 12}, "is_reverse": true}}
| 24,893
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = x + 5; g = v + 6; y = h + 9; n = e + 5; s = h + 6; x = d + 17; d = r + 2; v = n + 11; o = f + 3; r = s + 20; u = y + 18; h = 12; e = u + 11. If h = 12, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = x + 5 to o, which gives o = x + 8.\n2. Substitute x = d + 17 to o, which gives o = d + 25.\n3. Substitute d = r + 2 to o, which gives o = r + 27.\n4. Substitute r = s + 20 to o, which gives o = s + 47.\n5. Substitute s = h + 6 to o, which gives o = h + 53.\n6. Substitute h = 12 to o, which gives o = 65.\n\nThus, the final answer is o = \\boxed{65}.",
"index": 24893,
"question": "Consider a system of variables where each variable is defined as follows: f = x + 5; g = v + 6; y = h + 9; n = e + 5; s = h + 6; x = d + 17; d = r + 2; v = n + 11; o = f + 3; r = s + 20; u = y + 18; h = 12; e = u + 11. If h = 12, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"x": "z + 14", "t": "x + 8", "v": "t + 5", "q": "v + 17", "u": "q + 17", "h": "u + 5", "m": "z + 9", "y": "m + 13", "p": "y + 14", "g": "p + 10", "d": "g + 20", "f": "d + 10", "z": 19}, "premises": {"z": 19}, "target": "h"}, "answer": {"steps": [["u", "q + 17", "q + 22"], ["q", "v + 17", "v + 39"], ["v", "t + 5", "t + 44"], ["t", "x + 8", "x + 52"], ["x", "z + 14", "z + 66"], ["z", 19, "85"]], "target_var_name": "h", "target_value": 85, "value_dict": {"z": 19}, "is_reverse": true}}
| 24,894
| 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 = m + 13; f = d + 10; h = u + 5; q = v + 17; p = y + 14; m = z + 9; v = t + 5; u = q + 17; d = g + 20; z = 19; g = p + 10; x = z + 14; t = x + 8. If z = 19, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = q + 17 to h, which gives h = q + 22.\n2. Substitute q = v + 17 to h, which gives h = v + 39.\n3. Substitute v = t + 5 to h, which gives h = t + 44.\n4. Substitute t = x + 8 to h, which gives h = x + 52.\n5. Substitute x = z + 14 to h, which gives h = z + 66.\n6. Substitute z = 19 to h, which gives h = 85.\n\nThus, the final answer is h = \\boxed{85}.",
"index": 24894,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = m + 13; f = d + 10; h = u + 5; q = v + 17; p = y + 14; m = z + 9; v = t + 5; u = q + 17; d = g + 20; z = 19; g = p + 10; x = z + 14; t = x + 8. If z = 19, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"i": "j + 10", "w": "i + 3", "p": "w + 17", "l": "p + 18", "b": "l + 7", "x": "b + 12", "m": "j + 12", "c": "m + 12", "o": "c + 19", "s": "o + 6", "f": "s + 20", "g": "f + 14", "j": 17}, "premises": {"j": 17}, "target": "x"}, "answer": {"steps": [["b", "l + 7", "l + 19"], ["l", "p + 18", "p + 37"], ["p", "w + 17", "w + 54"], ["w", "i + 3", "i + 57"], ["i", "j + 10", "j + 67"], ["j", 17, "84"]], "target_var_name": "x", "target_value": 84, "value_dict": {"j": 17}, "is_reverse": true}}
| 24,895
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = p + 18; f = s + 20; p = w + 17; m = j + 12; x = b + 12; o = c + 19; g = f + 14; j = 17; w = i + 3; s = o + 6; b = l + 7; c = m + 12; i = j + 10. If j = 17, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = l + 7 to x, which gives x = l + 19.\n2. Substitute l = p + 18 to x, which gives x = p + 37.\n3. Substitute p = w + 17 to x, which gives x = w + 54.\n4. Substitute w = i + 3 to x, which gives x = i + 57.\n5. Substitute i = j + 10 to x, which gives x = j + 67.\n6. Substitute j = 17 to x, which gives x = 84.\n\nThus, the final answer is x = \\boxed{84}.",
"index": 24895,
"question": "Consider a system of variables where each variable is defined as follows: l = p + 18; f = s + 20; p = w + 17; m = j + 12; x = b + 12; o = c + 19; g = f + 14; j = 17; w = i + 3; s = o + 6; b = l + 7; c = m + 12; i = j + 10. If j = 17, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"u": "l + 3", "d": "u + 18", "v": "d + 1", "k": "v + 17", "n": "k + 17", "q": "n + 5", "s": "l + 11", "h": "s + 14", "x": "h + 5", "b": "x + 11", "j": "b + 8", "f": "j + 5", "l": 19}, "premises": {"l": 19}, "target": "q"}, "answer": {"steps": [["n", "k + 17", "k + 22"], ["k", "v + 17", "v + 39"], ["v", "d + 1", "d + 40"], ["d", "u + 18", "u + 58"], ["u", "l + 3", "l + 61"], ["l", 19, "80"]], "target_var_name": "q", "target_value": 80, "value_dict": {"l": 19}, "is_reverse": true}}
| 24,896
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = u + 18; x = h + 5; q = n + 5; f = j + 5; v = d + 1; h = s + 14; n = k + 17; l = 19; u = l + 3; k = v + 17; s = l + 11; j = b + 8; b = x + 11. Given that l = 19, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = k + 17 to q, which gives q = k + 22.\n2. Substitute k = v + 17 to q, which gives q = v + 39.\n3. Substitute v = d + 1 to q, which gives q = d + 40.\n4. Substitute d = u + 18 to q, which gives q = u + 58.\n5. Substitute u = l + 3 to q, which gives q = l + 61.\n6. Substitute l = 19 to q, which gives q = 80.\n\nThus, the final answer is q = \\boxed{80}.",
"index": 24896,
"question": "Suppose a collection of variables is related by the following definitions: d = u + 18; x = h + 5; q = n + 5; f = j + 5; v = d + 1; h = s + 14; n = k + 17; l = 19; u = l + 3; k = v + 17; s = l + 11; j = b + 8; b = x + 11. Given that l = 19, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"m": "x + 1", "l": "m + 15", "g": "l + 18", "a": "g + 2", "j": "a + 13", "r": "j + 5", "i": "x + 16", "u": "i + 3", "h": "u + 10", "s": "h + 20", "y": "s + 1", "w": "y + 8", "x": 6}, "premises": {"x": 6}, "target": "r"}, "answer": {"steps": [["j", "a + 13", "a + 18"], ["a", "g + 2", "g + 20"], ["g", "l + 18", "l + 38"], ["l", "m + 15", "m + 53"], ["m", "x + 1", "x + 54"], ["x", 6, "60"]], "target_var_name": "r", "target_value": 60, "value_dict": {"x": 6}, "is_reverse": true}}
| 24,897
| 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; w = y + 8; x = 6; u = i + 3; r = j + 5; l = m + 15; h = u + 10; j = a + 13; m = x + 1; y = s + 1; a = g + 2; g = l + 18; s = h + 20. Given that x = 6, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = a + 13 to r, which gives r = a + 18.\n2. Substitute a = g + 2 to r, which gives r = g + 20.\n3. Substitute g = l + 18 to r, which gives r = l + 38.\n4. Substitute l = m + 15 to r, which gives r = m + 53.\n5. Substitute m = x + 1 to r, which gives r = x + 54.\n6. Substitute x = 6 to r, which gives r = 60.\n\nThus, the final answer is r = \\boxed{60}.",
"index": 24897,
"question": "Suppose a collection of variables is related by the following definitions: i = x + 16; w = y + 8; x = 6; u = i + 3; r = j + 5; l = m + 15; h = u + 10; j = a + 13; m = x + 1; y = s + 1; a = g + 2; g = l + 18; s = h + 20. Given that x = 6, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"o": "u + 8", "l": "o + 4", "b": "l + 19", "h": "b + 13", "c": "h + 9", "z": "c + 18", "e": "u + 7", "k": "e + 1", "v": "k + 6", "j": "v + 19", "p": "j + 3", "t": "p + 7", "u": 13}, "premises": {"u": 13}, "target": "z"}, "answer": {"steps": [["c", "h + 9", "h + 27"], ["h", "b + 13", "b + 40"], ["b", "l + 19", "l + 59"], ["l", "o + 4", "o + 63"], ["o", "u + 8", "u + 71"], ["u", 13, "84"]], "target_var_name": "z", "target_value": 84, "value_dict": {"u": 13}, "is_reverse": true}}
| 24,898
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = 13; t = p + 7; k = e + 1; h = b + 13; p = j + 3; v = k + 6; c = h + 9; b = l + 19; z = c + 18; o = u + 8; e = u + 7; l = o + 4; j = v + 19. Given that u = 13, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = h + 9 to z, which gives z = h + 27.\n2. Substitute h = b + 13 to z, which gives z = b + 40.\n3. Substitute b = l + 19 to z, which gives z = l + 59.\n4. Substitute l = o + 4 to z, which gives z = o + 63.\n5. Substitute o = u + 8 to z, which gives z = u + 71.\n6. Substitute u = 13 to z, which gives z = 84.\n\nThus, the final answer is z = \\boxed{84}.",
"index": 24898,
"question": "Suppose a collection of variables is related by the following definitions: u = 13; t = p + 7; k = e + 1; h = b + 13; p = j + 3; v = k + 6; c = h + 9; b = l + 19; z = c + 18; o = u + 8; e = u + 7; l = o + 4; j = v + 19. Given that u = 13, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"i": "q + 20", "c": "i + 1", "o": "c + 17", "e": "o + 18", "y": "e + 16", "u": "y + 9", "z": "q + 1", "a": "z + 4", "x": "a + 14", "p": "x + 9", "t": "p + 10", "v": "t + 6", "q": 9}, "premises": {"q": 9}, "target": "u"}, "answer": {"steps": [["y", "e + 16", "e + 25"], ["e", "o + 18", "o + 43"], ["o", "c + 17", "c + 60"], ["c", "i + 1", "i + 61"], ["i", "q + 20", "q + 81"], ["q", 9, "90"]], "target_var_name": "u", "target_value": 90, "value_dict": {"q": 9}, "is_reverse": true}}
| 24,899
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = a + 14; a = z + 4; y = e + 16; o = c + 17; z = q + 1; e = o + 18; v = t + 6; q = 9; t = p + 10; p = x + 9; u = y + 9; c = i + 1; i = q + 20. Given that q = 9, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = e + 16 to u, which gives u = e + 25.\n2. Substitute e = o + 18 to u, which gives u = o + 43.\n3. Substitute o = c + 17 to u, which gives u = c + 60.\n4. Substitute c = i + 1 to u, which gives u = i + 61.\n5. Substitute i = q + 20 to u, which gives u = q + 81.\n6. Substitute q = 9 to u, which gives u = 90.\n\nThus, the final answer is u = \\boxed{90}.",
"index": 24899,
"question": "Suppose a collection of variables is related by the following definitions: x = a + 14; a = z + 4; y = e + 16; o = c + 17; z = q + 1; e = o + 18; v = t + 6; q = 9; t = p + 10; p = x + 9; u = y + 9; c = i + 1; i = q + 20. Given that q = 9, find the value of u.",
"split": "train"
}
|
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