meta
stringlengths 493
517
| id
int64 0
25.6k
| problem_solution_idx
int64 0
0
| world_id
stringclasses 1
value | data_source
stringclasses 1
value | prompt
listlengths 1
1
| ability
stringclasses 1
value | reward_model
dict | extra_info
dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"h": "c + 15", "o": "h + 17", "z": "o + 11", "u": "z + 13", "b": "u + 2", "w": "b + 6", "a": "c + 5", "r": "a + 6", "n": "r + 1", "m": "n + 8", "k": "m + 15", "d": "k + 1", "c": 1}, "premises": {"c": 1}, "target": "w"}, "answer": {"steps": [["b", "u + 2", "u + 8"], ["u", "z + 13", "z + 21"], ["z", "o + 11", "o + 32"], ["o", "h + 17", "h + 49"], ["h", "c + 15", "c + 64"], ["c", 1, "65"]], "target_var_name": "w", "target_value": 65, "value_dict": {"c": 1}, "is_reverse": true}}
| 22,600
| 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 = m + 15; z = o + 11; n = r + 1; a = c + 5; w = b + 6; b = u + 2; c = 1; o = h + 17; h = c + 15; m = n + 8; u = z + 13; r = a + 6; d = k + 1. If c = 1, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = u + 2 to w, which gives w = u + 8.\n2. Substitute u = z + 13 to w, which gives w = z + 21.\n3. Substitute z = o + 11 to w, which gives w = o + 32.\n4. Substitute o = h + 17 to w, which gives w = h + 49.\n5. Substitute h = c + 15 to w, which gives w = c + 64.\n6. Substitute c = 1 to w, which gives w = 65.\n\nThus, the final answer is w = \\boxed{65}.",
"index": 22600,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = m + 15; z = o + 11; n = r + 1; a = c + 5; w = b + 6; b = u + 2; c = 1; o = h + 17; h = c + 15; m = n + 8; u = z + 13; r = a + 6; d = k + 1. If c = 1, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"z": "w + 9", "e": "z + 9", "h": "e + 14", "y": "h + 17", "g": "y + 1", "c": "g + 3", "v": "w + 4", "q": "v + 13", "s": "q + 10", "i": "s + 18", "n": "i + 20", "f": "n + 4", "w": 18}, "premises": {"w": 18}, "target": "c"}, "answer": {"steps": [["g", "y + 1", "y + 4"], ["y", "h + 17", "h + 21"], ["h", "e + 14", "e + 35"], ["e", "z + 9", "z + 44"], ["z", "w + 9", "w + 53"], ["w", 18, "71"]], "target_var_name": "c", "target_value": 71, "value_dict": {"w": 18}, "is_reverse": true}}
| 22,601
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = 18; s = q + 10; v = w + 4; z = w + 9; y = h + 17; i = s + 18; q = v + 13; e = z + 9; h = e + 14; g = y + 1; n = i + 20; c = g + 3; f = n + 4. If w = 18, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = y + 1 to c, which gives c = y + 4.\n2. Substitute y = h + 17 to c, which gives c = h + 21.\n3. Substitute h = e + 14 to c, which gives c = e + 35.\n4. Substitute e = z + 9 to c, which gives c = z + 44.\n5. Substitute z = w + 9 to c, which gives c = w + 53.\n6. Substitute w = 18 to c, which gives c = 71.\n\nThus, the final answer is c = \\boxed{71}.",
"index": 22601,
"question": "Consider a system of variables where each variable is defined as follows: w = 18; s = q + 10; v = w + 4; z = w + 9; y = h + 17; i = s + 18; q = v + 13; e = z + 9; h = e + 14; g = y + 1; n = i + 20; c = g + 3; f = n + 4. If w = 18, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"l": "n + 16", "k": "l + 19", "t": "k + 12", "o": "t + 17", "p": "o + 17", "d": "p + 17", "c": "n + 10", "s": "c + 10", "g": "s + 6", "e": "g + 8", "v": "e + 12", "x": "v + 15", "n": 3}, "premises": {"n": 3}, "target": "d"}, "answer": {"steps": [["p", "o + 17", "o + 34"], ["o", "t + 17", "t + 51"], ["t", "k + 12", "k + 63"], ["k", "l + 19", "l + 82"], ["l", "n + 16", "n + 98"], ["n", 3, "101"]], "target_var_name": "d", "target_value": 101, "value_dict": {"n": 3}, "is_reverse": true}}
| 22,602
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = n + 16; g = s + 6; p = o + 17; s = c + 10; o = t + 17; e = g + 8; t = k + 12; k = l + 19; n = 3; c = n + 10; x = v + 15; v = e + 12; d = p + 17. Given that n = 3, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 101,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = o + 17 to d, which gives d = o + 34.\n2. Substitute o = t + 17 to d, which gives d = t + 51.\n3. Substitute t = k + 12 to d, which gives d = k + 63.\n4. Substitute k = l + 19 to d, which gives d = l + 82.\n5. Substitute l = n + 16 to d, which gives d = n + 98.\n6. Substitute n = 3 to d, which gives d = 101.\n\nThus, the final answer is d = \\boxed{101}.",
"index": 22602,
"question": "Suppose a collection of variables is related by the following definitions: l = n + 16; g = s + 6; p = o + 17; s = c + 10; o = t + 17; e = g + 8; t = k + 12; k = l + 19; n = 3; c = n + 10; x = v + 15; v = e + 12; d = p + 17. Given that n = 3, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"t": "d + 10", "m": "t + 19", "l": "m + 17", "v": "l + 18", "n": "v + 7", "i": "n + 1", "b": "d + 11", "c": "b + 2", "u": "c + 13", "y": "u + 5", "q": "y + 14", "k": "q + 9", "d": 9}, "premises": {"d": 9}, "target": "i"}, "answer": {"steps": [["n", "v + 7", "v + 8"], ["v", "l + 18", "l + 26"], ["l", "m + 17", "m + 43"], ["m", "t + 19", "t + 62"], ["t", "d + 10", "d + 72"], ["d", 9, "81"]], "target_var_name": "i", "target_value": 81, "value_dict": {"d": 9}, "is_reverse": true}}
| 22,603
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = t + 19; t = d + 10; y = u + 5; d = 9; n = v + 7; b = d + 11; k = q + 9; v = l + 18; l = m + 17; i = n + 1; u = c + 13; q = y + 14; c = b + 2. If d = 9, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = v + 7 to i, which gives i = v + 8.\n2. Substitute v = l + 18 to i, which gives i = l + 26.\n3. Substitute l = m + 17 to i, which gives i = m + 43.\n4. Substitute m = t + 19 to i, which gives i = t + 62.\n5. Substitute t = d + 10 to i, which gives i = d + 72.\n6. Substitute d = 9 to i, which gives i = 81.\n\nThus, the final answer is i = \\boxed{81}.",
"index": 22603,
"question": "Consider a system of variables where each variable is defined as follows: m = t + 19; t = d + 10; y = u + 5; d = 9; n = v + 7; b = d + 11; k = q + 9; v = l + 18; l = m + 17; i = n + 1; u = c + 13; q = y + 14; c = b + 2. If d = 9, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"q": "v + 20", "i": "q + 15", "u": "i + 10", "g": "u + 4", "w": "g + 17", "s": "w + 8", "m": "v + 20", "j": "m + 5", "p": "j + 14", "x": "p + 8", "k": "x + 7", "h": "k + 13", "v": 9}, "premises": {"v": 9}, "target": "s"}, "answer": {"steps": [["w", "g + 17", "g + 25"], ["g", "u + 4", "u + 29"], ["u", "i + 10", "i + 39"], ["i", "q + 15", "q + 54"], ["q", "v + 20", "v + 74"], ["v", 9, "83"]], "target_var_name": "s", "target_value": 83, "value_dict": {"v": 9}, "is_reverse": true}}
| 22,604
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = j + 14; i = q + 15; h = k + 13; m = v + 20; q = v + 20; x = p + 8; v = 9; u = i + 10; s = w + 8; j = m + 5; g = u + 4; w = g + 17; k = x + 7. Given that v = 9, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = g + 17 to s, which gives s = g + 25.\n2. Substitute g = u + 4 to s, which gives s = u + 29.\n3. Substitute u = i + 10 to s, which gives s = i + 39.\n4. Substitute i = q + 15 to s, which gives s = q + 54.\n5. Substitute q = v + 20 to s, which gives s = v + 74.\n6. Substitute v = 9 to s, which gives s = 83.\n\nThus, the final answer is s = \\boxed{83}.",
"index": 22604,
"question": "Suppose a collection of variables is related by the following definitions: p = j + 14; i = q + 15; h = k + 13; m = v + 20; q = v + 20; x = p + 8; v = 9; u = i + 10; s = w + 8; j = m + 5; g = u + 4; w = g + 17; k = x + 7. Given that v = 9, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"y": "n + 6", "r": "y + 3", "v": "r + 4", "q": "v + 2", "f": "q + 15", "c": "f + 12", "a": "n + 17", "s": "a + 6", "x": "s + 8", "k": "x + 4", "e": "k + 3", "b": "e + 13", "n": 10}, "premises": {"n": 10}, "target": "c"}, "answer": {"steps": [["f", "q + 15", "q + 27"], ["q", "v + 2", "v + 29"], ["v", "r + 4", "r + 33"], ["r", "y + 3", "y + 36"], ["y", "n + 6", "n + 42"], ["n", 10, "52"]], "target_var_name": "c", "target_value": 52, "value_dict": {"n": 10}, "is_reverse": true}}
| 22,605
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = r + 4; b = e + 13; f = q + 15; y = n + 6; x = s + 8; r = y + 3; e = k + 3; a = n + 17; c = f + 12; k = x + 4; n = 10; s = a + 6; q = v + 2. Given that n = 10, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 52,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = q + 15 to c, which gives c = q + 27.\n2. Substitute q = v + 2 to c, which gives c = v + 29.\n3. Substitute v = r + 4 to c, which gives c = r + 33.\n4. Substitute r = y + 3 to c, which gives c = y + 36.\n5. Substitute y = n + 6 to c, which gives c = n + 42.\n6. Substitute n = 10 to c, which gives c = 52.\n\nThus, the final answer is c = \\boxed{52}.",
"index": 22605,
"question": "Suppose a collection of variables is related by the following definitions: v = r + 4; b = e + 13; f = q + 15; y = n + 6; x = s + 8; r = y + 3; e = k + 3; a = n + 17; c = f + 12; k = x + 4; n = 10; s = a + 6; q = v + 2. Given that n = 10, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"g": "x + 10", "d": "g + 19", "a": "d + 17", "u": "a + 15", "c": "u + 14", "k": "c + 10", "e": "x + 16", "t": "e + 15", "z": "t + 19", "f": "z + 3", "h": "f + 17", "q": "h + 16", "x": 2}, "premises": {"x": 2}, "target": "k"}, "answer": {"steps": [["c", "u + 14", "u + 24"], ["u", "a + 15", "a + 39"], ["a", "d + 17", "d + 56"], ["d", "g + 19", "g + 75"], ["g", "x + 10", "x + 85"], ["x", 2, "87"]], "target_var_name": "k", "target_value": 87, "value_dict": {"x": 2}, "is_reverse": true}}
| 22,606
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = t + 19; a = d + 17; t = e + 15; c = u + 14; k = c + 10; x = 2; h = f + 17; d = g + 19; u = a + 15; g = x + 10; q = h + 16; f = z + 3; e = x + 16. Given that x = 2, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = u + 14 to k, which gives k = u + 24.\n2. Substitute u = a + 15 to k, which gives k = a + 39.\n3. Substitute a = d + 17 to k, which gives k = d + 56.\n4. Substitute d = g + 19 to k, which gives k = g + 75.\n5. Substitute g = x + 10 to k, which gives k = x + 85.\n6. Substitute x = 2 to k, which gives k = 87.\n\nThus, the final answer is k = \\boxed{87}.",
"index": 22606,
"question": "Suppose a collection of variables is related by the following definitions: z = t + 19; a = d + 17; t = e + 15; c = u + 14; k = c + 10; x = 2; h = f + 17; d = g + 19; u = a + 15; g = x + 10; q = h + 16; f = z + 3; e = x + 16. Given that x = 2, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"q": "r + 20", "w": "q + 19", "o": "w + 11", "y": "o + 2", "k": "y + 15", "h": "k + 4", "n": "r + 14", "t": "n + 14", "i": "t + 12", "e": "i + 10", "p": "e + 8", "g": "p + 13", "r": 16}, "premises": {"r": 16}, "target": "h"}, "answer": {"steps": [["k", "y + 15", "y + 19"], ["y", "o + 2", "o + 21"], ["o", "w + 11", "w + 32"], ["w", "q + 19", "q + 51"], ["q", "r + 20", "r + 71"], ["r", 16, "87"]], "target_var_name": "h", "target_value": 87, "value_dict": {"r": 16}, "is_reverse": true}}
| 22,607
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = y + 15; y = o + 2; o = w + 11; t = n + 14; r = 16; p = e + 8; i = t + 12; q = r + 20; e = i + 10; g = p + 13; n = r + 14; w = q + 19; h = k + 4. Given that r = 16, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = y + 15 to h, which gives h = y + 19.\n2. Substitute y = o + 2 to h, which gives h = o + 21.\n3. Substitute o = w + 11 to h, which gives h = w + 32.\n4. Substitute w = q + 19 to h, which gives h = q + 51.\n5. Substitute q = r + 20 to h, which gives h = r + 71.\n6. Substitute r = 16 to h, which gives h = 87.\n\nThus, the final answer is h = \\boxed{87}.",
"index": 22607,
"question": "Suppose a collection of variables is related by the following definitions: k = y + 15; y = o + 2; o = w + 11; t = n + 14; r = 16; p = e + 8; i = t + 12; q = r + 20; e = i + 10; g = p + 13; n = r + 14; w = q + 19; h = k + 4. Given that r = 16, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"v": "e + 10", "f": "v + 2", "n": "f + 13", "h": "n + 9", "b": "h + 8", "g": "b + 11", "s": "e + 16", "r": "s + 12", "q": "r + 2", "l": "q + 20", "a": "l + 15", "o": "a + 12", "e": 13}, "premises": {"e": 13}, "target": "g"}, "answer": {"steps": [["b", "h + 8", "h + 19"], ["h", "n + 9", "n + 28"], ["n", "f + 13", "f + 41"], ["f", "v + 2", "v + 43"], ["v", "e + 10", "e + 53"], ["e", 13, "66"]], "target_var_name": "g", "target_value": 66, "value_dict": {"e": 13}, "is_reverse": true}}
| 22,608
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = n + 9; a = l + 15; n = f + 13; e = 13; g = b + 11; l = q + 20; s = e + 16; q = r + 2; v = e + 10; o = a + 12; r = s + 12; f = v + 2; b = h + 8. Given that e = 13, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = h + 8 to g, which gives g = h + 19.\n2. Substitute h = n + 9 to g, which gives g = n + 28.\n3. Substitute n = f + 13 to g, which gives g = f + 41.\n4. Substitute f = v + 2 to g, which gives g = v + 43.\n5. Substitute v = e + 10 to g, which gives g = e + 53.\n6. Substitute e = 13 to g, which gives g = 66.\n\nThus, the final answer is g = \\boxed{66}.",
"index": 22608,
"question": "Suppose a collection of variables is related by the following definitions: h = n + 9; a = l + 15; n = f + 13; e = 13; g = b + 11; l = q + 20; s = e + 16; q = r + 2; v = e + 10; o = a + 12; r = s + 12; f = v + 2; b = h + 8. Given that e = 13, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"i": "b + 12", "y": "i + 15", "q": "y + 7", "k": "q + 1", "d": "k + 13", "a": "d + 2", "o": "b + 12", "h": "o + 9", "l": "h + 18", "j": "l + 17", "t": "j + 14", "f": "t + 19", "b": 6}, "premises": {"b": 6}, "target": "a"}, "answer": {"steps": [["d", "k + 13", "k + 15"], ["k", "q + 1", "q + 16"], ["q", "y + 7", "y + 23"], ["y", "i + 15", "i + 38"], ["i", "b + 12", "b + 50"], ["b", 6, "56"]], "target_var_name": "a", "target_value": 56, "value_dict": {"b": 6}, "is_reverse": true}}
| 22,609
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = l + 17; o = b + 12; a = d + 2; h = o + 9; b = 6; l = h + 18; i = b + 12; y = i + 15; k = q + 1; d = k + 13; t = j + 14; f = t + 19; q = y + 7. If b = 6, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = k + 13 to a, which gives a = k + 15.\n2. Substitute k = q + 1 to a, which gives a = q + 16.\n3. Substitute q = y + 7 to a, which gives a = y + 23.\n4. Substitute y = i + 15 to a, which gives a = i + 38.\n5. Substitute i = b + 12 to a, which gives a = b + 50.\n6. Substitute b = 6 to a, which gives a = 56.\n\nThus, the final answer is a = \\boxed{56}.",
"index": 22609,
"question": "Consider a system of variables where each variable is defined as follows: j = l + 17; o = b + 12; a = d + 2; h = o + 9; b = 6; l = h + 18; i = b + 12; y = i + 15; k = q + 1; d = k + 13; t = j + 14; f = t + 19; q = y + 7. If b = 6, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"a": "p + 19", "v": "a + 5", "g": "v + 3", "b": "g + 14", "w": "b + 13", "e": "w + 1", "u": "p + 7", "j": "u + 1", "q": "j + 16", "x": "q + 11", "f": "x + 19", "o": "f + 6", "p": 6}, "premises": {"p": 6}, "target": "e"}, "answer": {"steps": [["w", "b + 13", "b + 14"], ["b", "g + 14", "g + 28"], ["g", "v + 3", "v + 31"], ["v", "a + 5", "a + 36"], ["a", "p + 19", "p + 55"], ["p", 6, "61"]], "target_var_name": "e", "target_value": 61, "value_dict": {"p": 6}, "is_reverse": true}}
| 22,610
| 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 = a + 5; w = b + 13; f = x + 19; p = 6; q = j + 16; o = f + 6; x = q + 11; g = v + 3; u = p + 7; b = g + 14; j = u + 1; e = w + 1; a = p + 19. If p = 6, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = b + 13 to e, which gives e = b + 14.\n2. Substitute b = g + 14 to e, which gives e = g + 28.\n3. Substitute g = v + 3 to e, which gives e = v + 31.\n4. Substitute v = a + 5 to e, which gives e = a + 36.\n5. Substitute a = p + 19 to e, which gives e = p + 55.\n6. Substitute p = 6 to e, which gives e = 61.\n\nThus, the final answer is e = \\boxed{61}.",
"index": 22610,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = a + 5; w = b + 13; f = x + 19; p = 6; q = j + 16; o = f + 6; x = q + 11; g = v + 3; u = p + 7; b = g + 14; j = u + 1; e = w + 1; a = p + 19. If p = 6, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"p": "r + 20", "t": "p + 2", "m": "t + 9", "d": "m + 16", "j": "d + 17", "a": "j + 10", "q": "r + 11", "z": "q + 17", "h": "z + 9", "b": "h + 8", "e": "b + 8", "c": "e + 18", "r": 11}, "premises": {"r": 11}, "target": "a"}, "answer": {"steps": [["j", "d + 17", "d + 27"], ["d", "m + 16", "m + 43"], ["m", "t + 9", "t + 52"], ["t", "p + 2", "p + 54"], ["p", "r + 20", "r + 74"], ["r", 11, "85"]], "target_var_name": "a", "target_value": 85, "value_dict": {"r": 11}, "is_reverse": true}}
| 22,611
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = r + 11; h = z + 9; e = b + 8; j = d + 17; p = r + 20; c = e + 18; z = q + 17; a = j + 10; b = h + 8; d = m + 16; r = 11; t = p + 2; m = t + 9. If r = 11, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = d + 17 to a, which gives a = d + 27.\n2. Substitute d = m + 16 to a, which gives a = m + 43.\n3. Substitute m = t + 9 to a, which gives a = t + 52.\n4. Substitute t = p + 2 to a, which gives a = p + 54.\n5. Substitute p = r + 20 to a, which gives a = r + 74.\n6. Substitute r = 11 to a, which gives a = 85.\n\nThus, the final answer is a = \\boxed{85}.",
"index": 22611,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = r + 11; h = z + 9; e = b + 8; j = d + 17; p = r + 20; c = e + 18; z = q + 17; a = j + 10; b = h + 8; d = m + 16; r = 11; t = p + 2; m = t + 9. If r = 11, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"a": "o + 13", "y": "a + 11", "r": "y + 11", "p": "r + 16", "j": "p + 2", "m": "j + 1", "v": "o + 15", "s": "v + 20", "w": "s + 13", "d": "w + 1", "f": "d + 17", "l": "f + 6", "o": 9}, "premises": {"o": 9}, "target": "m"}, "answer": {"steps": [["j", "p + 2", "p + 3"], ["p", "r + 16", "r + 19"], ["r", "y + 11", "y + 30"], ["y", "a + 11", "a + 41"], ["a", "o + 13", "o + 54"], ["o", 9, "63"]], "target_var_name": "m", "target_value": 63, "value_dict": {"o": 9}, "is_reverse": true}}
| 22,612
| 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 + 6; a = o + 13; j = p + 2; y = a + 11; p = r + 16; d = w + 1; o = 9; w = s + 13; s = v + 20; r = y + 11; v = o + 15; m = j + 1; f = d + 17. If o = 9, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = p + 2 to m, which gives m = p + 3.\n2. Substitute p = r + 16 to m, which gives m = r + 19.\n3. Substitute r = y + 11 to m, which gives m = y + 30.\n4. Substitute y = a + 11 to m, which gives m = a + 41.\n5. Substitute a = o + 13 to m, which gives m = o + 54.\n6. Substitute o = 9 to m, which gives m = 63.\n\nThus, the final answer is m = \\boxed{63}.",
"index": 22612,
"question": "Consider a system of variables where each variable is defined as follows: l = f + 6; a = o + 13; j = p + 2; y = a + 11; p = r + 16; d = w + 1; o = 9; w = s + 13; s = v + 20; r = y + 11; v = o + 15; m = j + 1; f = d + 17. If o = 9, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"t": "h + 9", "z": "t + 12", "q": "z + 6", "g": "q + 15", "s": "g + 4", "e": "s + 8", "w": "h + 6", "c": "w + 14", "b": "c + 19", "j": "b + 2", "p": "j + 2", "l": "p + 2", "h": 19}, "premises": {"h": 19}, "target": "e"}, "answer": {"steps": [["s", "g + 4", "g + 12"], ["g", "q + 15", "q + 27"], ["q", "z + 6", "z + 33"], ["z", "t + 12", "t + 45"], ["t", "h + 9", "h + 54"], ["h", 19, "73"]], "target_var_name": "e", "target_value": 73, "value_dict": {"h": 19}, "is_reverse": true}}
| 22,613
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = w + 14; l = p + 2; b = c + 19; s = g + 4; p = j + 2; h = 19; t = h + 9; e = s + 8; q = z + 6; j = b + 2; w = h + 6; z = t + 12; g = q + 15. If h = 19, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = g + 4 to e, which gives e = g + 12.\n2. Substitute g = q + 15 to e, which gives e = q + 27.\n3. Substitute q = z + 6 to e, which gives e = z + 33.\n4. Substitute z = t + 12 to e, which gives e = t + 45.\n5. Substitute t = h + 9 to e, which gives e = h + 54.\n6. Substitute h = 19 to e, which gives e = 73.\n\nThus, the final answer is e = \\boxed{73}.",
"index": 22613,
"question": "Consider a system of variables where each variable is defined as follows: c = w + 14; l = p + 2; b = c + 19; s = g + 4; p = j + 2; h = 19; t = h + 9; e = s + 8; q = z + 6; j = b + 2; w = h + 6; z = t + 12; g = q + 15. If h = 19, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"n": "z + 20", "x": "n + 4", "w": "x + 14", "d": "w + 6", "g": "d + 5", "e": "g + 8", "k": "z + 8", "u": "k + 14", "t": "u + 4", "s": "t + 10", "y": "s + 14", "l": "y + 19", "z": 8}, "premises": {"z": 8}, "target": "e"}, "answer": {"steps": [["g", "d + 5", "d + 13"], ["d", "w + 6", "w + 19"], ["w", "x + 14", "x + 33"], ["x", "n + 4", "n + 37"], ["n", "z + 20", "z + 57"], ["z", 8, "65"]], "target_var_name": "e", "target_value": 65, "value_dict": {"z": 8}, "is_reverse": true}}
| 22,614
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = t + 10; z = 8; e = g + 8; y = s + 14; x = n + 4; t = u + 4; k = z + 8; g = d + 5; l = y + 19; d = w + 6; w = x + 14; n = z + 20; u = k + 14. If z = 8, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = d + 5 to e, which gives e = d + 13.\n2. Substitute d = w + 6 to e, which gives e = w + 19.\n3. Substitute w = x + 14 to e, which gives e = x + 33.\n4. Substitute x = n + 4 to e, which gives e = n + 37.\n5. Substitute n = z + 20 to e, which gives e = z + 57.\n6. Substitute z = 8 to e, which gives e = 65.\n\nThus, the final answer is e = \\boxed{65}.",
"index": 22614,
"question": "Consider a system of variables where each variable is defined as follows: s = t + 10; z = 8; e = g + 8; y = s + 14; x = n + 4; t = u + 4; k = z + 8; g = d + 5; l = y + 19; d = w + 6; w = x + 14; n = z + 20; u = k + 14. If z = 8, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"c": "l + 13", "i": "c + 9", "g": "i + 18", "b": "g + 7", "y": "b + 15", "s": "y + 20", "o": "l + 11", "d": "o + 7", "a": "d + 10", "m": "a + 9", "x": "m + 6", "e": "x + 11", "l": 10}, "premises": {"l": 10}, "target": "s"}, "answer": {"steps": [["y", "b + 15", "b + 35"], ["b", "g + 7", "g + 42"], ["g", "i + 18", "i + 60"], ["i", "c + 9", "c + 69"], ["c", "l + 13", "l + 82"], ["l", 10, "92"]], "target_var_name": "s", "target_value": 92, "value_dict": {"l": 10}, "is_reverse": true}}
| 22,615
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = d + 10; d = o + 7; y = b + 15; o = l + 11; c = l + 13; g = i + 18; b = g + 7; m = a + 9; e = x + 11; x = m + 6; l = 10; i = c + 9; s = y + 20. Given that l = 10, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = b + 15 to s, which gives s = b + 35.\n2. Substitute b = g + 7 to s, which gives s = g + 42.\n3. Substitute g = i + 18 to s, which gives s = i + 60.\n4. Substitute i = c + 9 to s, which gives s = c + 69.\n5. Substitute c = l + 13 to s, which gives s = l + 82.\n6. Substitute l = 10 to s, which gives s = 92.\n\nThus, the final answer is s = \\boxed{92}.",
"index": 22615,
"question": "Suppose a collection of variables is related by the following definitions: a = d + 10; d = o + 7; y = b + 15; o = l + 11; c = l + 13; g = i + 18; b = g + 7; m = a + 9; e = x + 11; x = m + 6; l = 10; i = c + 9; s = y + 20. Given that l = 10, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"l": "m + 10", "a": "l + 8", "i": "a + 12", "y": "i + 3", "b": "y + 8", "c": "b + 14", "w": "m + 8", "d": "w + 19", "h": "d + 1", "f": "h + 4", "j": "f + 7", "u": "j + 3", "m": 9}, "premises": {"m": 9}, "target": "c"}, "answer": {"steps": [["b", "y + 8", "y + 22"], ["y", "i + 3", "i + 25"], ["i", "a + 12", "a + 37"], ["a", "l + 8", "l + 45"], ["l", "m + 10", "m + 55"], ["m", 9, "64"]], "target_var_name": "c", "target_value": 64, "value_dict": {"m": 9}, "is_reverse": true}}
| 22,616
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = b + 14; b = y + 8; f = h + 4; j = f + 7; u = j + 3; d = w + 19; w = m + 8; i = a + 12; a = l + 8; m = 9; h = d + 1; l = m + 10; y = i + 3. If m = 9, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = y + 8 to c, which gives c = y + 22.\n2. Substitute y = i + 3 to c, which gives c = i + 25.\n3. Substitute i = a + 12 to c, which gives c = a + 37.\n4. Substitute a = l + 8 to c, which gives c = l + 45.\n5. Substitute l = m + 10 to c, which gives c = m + 55.\n6. Substitute m = 9 to c, which gives c = 64.\n\nThus, the final answer is c = \\boxed{64}.",
"index": 22616,
"question": "Consider a system of variables where each variable is defined as follows: c = b + 14; b = y + 8; f = h + 4; j = f + 7; u = j + 3; d = w + 19; w = m + 8; i = a + 12; a = l + 8; m = 9; h = d + 1; l = m + 10; y = i + 3. If m = 9, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"u": "m + 8", "v": "u + 11", "p": "v + 2", "a": "p + 16", "d": "a + 1", "z": "d + 11", "n": "m + 6", "s": "n + 13", "o": "s + 17", "e": "o + 13", "r": "e + 13", "b": "r + 2", "m": 14}, "premises": {"m": 14}, "target": "z"}, "answer": {"steps": [["d", "a + 1", "a + 12"], ["a", "p + 16", "p + 28"], ["p", "v + 2", "v + 30"], ["v", "u + 11", "u + 41"], ["u", "m + 8", "m + 49"], ["m", 14, "63"]], "target_var_name": "z", "target_value": 63, "value_dict": {"m": 14}, "is_reverse": true}}
| 22,617
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = u + 11; z = d + 11; o = s + 17; n = m + 6; r = e + 13; p = v + 2; d = a + 1; a = p + 16; e = o + 13; m = 14; b = r + 2; u = m + 8; s = n + 13. Given that m = 14, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = a + 1 to z, which gives z = a + 12.\n2. Substitute a = p + 16 to z, which gives z = p + 28.\n3. Substitute p = v + 2 to z, which gives z = v + 30.\n4. Substitute v = u + 11 to z, which gives z = u + 41.\n5. Substitute u = m + 8 to z, which gives z = m + 49.\n6. Substitute m = 14 to z, which gives z = 63.\n\nThus, the final answer is z = \\boxed{63}.",
"index": 22617,
"question": "Suppose a collection of variables is related by the following definitions: v = u + 11; z = d + 11; o = s + 17; n = m + 6; r = e + 13; p = v + 2; d = a + 1; a = p + 16; e = o + 13; m = 14; b = r + 2; u = m + 8; s = n + 13. Given that m = 14, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"h": "x + 7", "n": "h + 11", "o": "n + 19", "a": "o + 5", "r": "a + 16", "v": "r + 5", "l": "x + 13", "w": "l + 6", "z": "w + 9", "s": "z + 20", "u": "s + 18", "k": "u + 19", "x": 2}, "premises": {"x": 2}, "target": "v"}, "answer": {"steps": [["r", "a + 16", "a + 21"], ["a", "o + 5", "o + 26"], ["o", "n + 19", "n + 45"], ["n", "h + 11", "h + 56"], ["h", "x + 7", "x + 63"], ["x", 2, "65"]], "target_var_name": "v", "target_value": 65, "value_dict": {"x": 2}, "is_reverse": true}}
| 22,618
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = z + 20; l = x + 13; z = w + 9; w = l + 6; u = s + 18; a = o + 5; v = r + 5; n = h + 11; h = x + 7; x = 2; k = u + 19; o = n + 19; r = a + 16. Given that x = 2, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = a + 16 to v, which gives v = a + 21.\n2. Substitute a = o + 5 to v, which gives v = o + 26.\n3. Substitute o = n + 19 to v, which gives v = n + 45.\n4. Substitute n = h + 11 to v, which gives v = h + 56.\n5. Substitute h = x + 7 to v, which gives v = x + 63.\n6. Substitute x = 2 to v, which gives v = 65.\n\nThus, the final answer is v = \\boxed{65}.",
"index": 22618,
"question": "Suppose a collection of variables is related by the following definitions: s = z + 20; l = x + 13; z = w + 9; w = l + 6; u = s + 18; a = o + 5; v = r + 5; n = h + 11; h = x + 7; x = 2; k = u + 19; o = n + 19; r = a + 16. Given that x = 2, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"x": "s + 12", "h": "x + 1", "w": "h + 7", "n": "w + 16", "p": "n + 6", "r": "p + 2", "b": "s + 12", "g": "b + 10", "d": "g + 20", "f": "d + 18", "l": "f + 16", "m": "l + 12", "s": 2}, "premises": {"s": 2}, "target": "r"}, "answer": {"steps": [["p", "n + 6", "n + 8"], ["n", "w + 16", "w + 24"], ["w", "h + 7", "h + 31"], ["h", "x + 1", "x + 32"], ["x", "s + 12", "s + 44"], ["s", 2, "46"]], "target_var_name": "r", "target_value": 46, "value_dict": {"s": 2}, "is_reverse": true}}
| 22,619
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = g + 20; l = f + 16; x = s + 12; w = h + 7; b = s + 12; g = b + 10; p = n + 6; s = 2; h = x + 1; f = d + 18; n = w + 16; m = l + 12; r = p + 2. If s = 2, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 46,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = n + 6 to r, which gives r = n + 8.\n2. Substitute n = w + 16 to r, which gives r = w + 24.\n3. Substitute w = h + 7 to r, which gives r = h + 31.\n4. Substitute h = x + 1 to r, which gives r = x + 32.\n5. Substitute x = s + 12 to r, which gives r = s + 44.\n6. Substitute s = 2 to r, which gives r = 46.\n\nThus, the final answer is r = \\boxed{46}.",
"index": 22619,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = g + 20; l = f + 16; x = s + 12; w = h + 7; b = s + 12; g = b + 10; p = n + 6; s = 2; h = x + 1; f = d + 18; n = w + 16; m = l + 12; r = p + 2. If s = 2, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"z": "w + 1", "u": "z + 10", "y": "u + 11", "i": "y + 13", "a": "i + 19", "c": "a + 18", "o": "w + 2", "e": "o + 6", "n": "e + 15", "l": "n + 4", "m": "l + 5", "t": "m + 6", "w": 9}, "premises": {"w": 9}, "target": "c"}, "answer": {"steps": [["a", "i + 19", "i + 37"], ["i", "y + 13", "y + 50"], ["y", "u + 11", "u + 61"], ["u", "z + 10", "z + 71"], ["z", "w + 1", "w + 72"], ["w", 9, "81"]], "target_var_name": "c", "target_value": 81, "value_dict": {"w": 9}, "is_reverse": true}}
| 22,620
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = l + 5; t = m + 6; e = o + 6; a = i + 19; z = w + 1; i = y + 13; o = w + 2; l = n + 4; y = u + 11; w = 9; c = a + 18; u = z + 10; n = e + 15. If w = 9, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = i + 19 to c, which gives c = i + 37.\n2. Substitute i = y + 13 to c, which gives c = y + 50.\n3. Substitute y = u + 11 to c, which gives c = u + 61.\n4. Substitute u = z + 10 to c, which gives c = z + 71.\n5. Substitute z = w + 1 to c, which gives c = w + 72.\n6. Substitute w = 9 to c, which gives c = 81.\n\nThus, the final answer is c = \\boxed{81}.",
"index": 22620,
"question": "Consider a system of variables where each variable is defined as follows: m = l + 5; t = m + 6; e = o + 6; a = i + 19; z = w + 1; i = y + 13; o = w + 2; l = n + 4; y = u + 11; w = 9; c = a + 18; u = z + 10; n = e + 15. If w = 9, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"g": "l + 18", "y": "g + 14", "d": "y + 7", "t": "d + 4", "c": "t + 12", "s": "c + 7", "m": "l + 18", "o": "m + 5", "j": "o + 1", "a": "j + 8", "e": "a + 9", "h": "e + 15", "l": 18}, "premises": {"l": 18}, "target": "s"}, "answer": {"steps": [["c", "t + 12", "t + 19"], ["t", "d + 4", "d + 23"], ["d", "y + 7", "y + 30"], ["y", "g + 14", "g + 44"], ["g", "l + 18", "l + 62"], ["l", 18, "80"]], "target_var_name": "s", "target_value": 80, "value_dict": {"l": 18}, "is_reverse": true}}
| 22,621
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = e + 15; l = 18; c = t + 12; d = y + 7; e = a + 9; j = o + 1; g = l + 18; o = m + 5; y = g + 14; t = d + 4; m = l + 18; a = j + 8; s = c + 7. If l = 18, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = t + 12 to s, which gives s = t + 19.\n2. Substitute t = d + 4 to s, which gives s = d + 23.\n3. Substitute d = y + 7 to s, which gives s = y + 30.\n4. Substitute y = g + 14 to s, which gives s = g + 44.\n5. Substitute g = l + 18 to s, which gives s = l + 62.\n6. Substitute l = 18 to s, which gives s = 80.\n\nThus, the final answer is s = \\boxed{80}.",
"index": 22621,
"question": "Consider a system of variables where each variable is defined as follows: h = e + 15; l = 18; c = t + 12; d = y + 7; e = a + 9; j = o + 1; g = l + 18; o = m + 5; y = g + 14; t = d + 4; m = l + 18; a = j + 8; s = c + 7. If l = 18, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"r": "s + 2", "j": "r + 5", "e": "j + 18", "k": "e + 3", "t": "k + 13", "i": "t + 6", "x": "s + 4", "m": "x + 19", "y": "m + 10", "b": "y + 8", "u": "b + 17", "h": "u + 14", "s": 7}, "premises": {"s": 7}, "target": "i"}, "answer": {"steps": [["t", "k + 13", "k + 19"], ["k", "e + 3", "e + 22"], ["e", "j + 18", "j + 40"], ["j", "r + 5", "r + 45"], ["r", "s + 2", "s + 47"], ["s", 7, "54"]], "target_var_name": "i", "target_value": 54, "value_dict": {"s": 7}, "is_reverse": true}}
| 22,622
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = s + 2; s = 7; b = y + 8; m = x + 19; u = b + 17; e = j + 18; y = m + 10; k = e + 3; h = u + 14; i = t + 6; x = s + 4; t = k + 13; j = r + 5. If s = 7, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = k + 13 to i, which gives i = k + 19.\n2. Substitute k = e + 3 to i, which gives i = e + 22.\n3. Substitute e = j + 18 to i, which gives i = j + 40.\n4. Substitute j = r + 5 to i, which gives i = r + 45.\n5. Substitute r = s + 2 to i, which gives i = s + 47.\n6. Substitute s = 7 to i, which gives i = 54.\n\nThus, the final answer is i = \\boxed{54}.",
"index": 22622,
"question": "Consider a system of variables where each variable is defined as follows: r = s + 2; s = 7; b = y + 8; m = x + 19; u = b + 17; e = j + 18; y = m + 10; k = e + 3; h = u + 14; i = t + 6; x = s + 4; t = k + 13; j = r + 5. If s = 7, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"o": "l + 18", "a": "o + 13", "w": "a + 12", "k": "w + 13", "p": "k + 8", "b": "p + 1", "y": "l + 10", "x": "y + 17", "m": "x + 15", "j": "m + 15", "d": "j + 5", "t": "d + 18", "l": 6}, "premises": {"l": 6}, "target": "b"}, "answer": {"steps": [["p", "k + 8", "k + 9"], ["k", "w + 13", "w + 22"], ["w", "a + 12", "a + 34"], ["a", "o + 13", "o + 47"], ["o", "l + 18", "l + 65"], ["l", 6, "71"]], "target_var_name": "b", "target_value": 71, "value_dict": {"l": 6}, "is_reverse": true}}
| 22,623
| 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 = y + 17; t = d + 18; o = l + 18; l = 6; w = a + 12; k = w + 13; b = p + 1; j = m + 15; a = o + 13; d = j + 5; m = x + 15; y = l + 10; p = k + 8. If l = 6, 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 p = k + 8 to b, which gives b = k + 9.\n2. Substitute k = w + 13 to b, which gives b = w + 22.\n3. Substitute w = a + 12 to b, which gives b = a + 34.\n4. Substitute a = o + 13 to b, which gives b = o + 47.\n5. Substitute o = l + 18 to b, which gives b = l + 65.\n6. Substitute l = 6 to b, which gives b = 71.\n\nThus, the final answer is b = \\boxed{71}.",
"index": 22623,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = y + 17; t = d + 18; o = l + 18; l = 6; w = a + 12; k = w + 13; b = p + 1; j = m + 15; a = o + 13; d = j + 5; m = x + 15; y = l + 10; p = k + 8. If l = 6, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"g": "t + 14", "z": "g + 14", "p": "z + 1", "h": "p + 2", "j": "h + 6", "a": "j + 15", "n": "t + 17", "d": "n + 15", "s": "d + 10", "l": "s + 2", "r": "l + 6", "v": "r + 4", "t": 2}, "premises": {"t": 2}, "target": "a"}, "answer": {"steps": [["j", "h + 6", "h + 21"], ["h", "p + 2", "p + 23"], ["p", "z + 1", "z + 24"], ["z", "g + 14", "g + 38"], ["g", "t + 14", "t + 52"], ["t", 2, "54"]], "target_var_name": "a", "target_value": 54, "value_dict": {"t": 2}, "is_reverse": true}}
| 22,624
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = n + 15; a = j + 15; v = r + 4; n = t + 17; j = h + 6; g = t + 14; l = s + 2; t = 2; h = p + 2; p = z + 1; z = g + 14; s = d + 10; r = l + 6. Given that t = 2, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = h + 6 to a, which gives a = h + 21.\n2. Substitute h = p + 2 to a, which gives a = p + 23.\n3. Substitute p = z + 1 to a, which gives a = z + 24.\n4. Substitute z = g + 14 to a, which gives a = g + 38.\n5. Substitute g = t + 14 to a, which gives a = t + 52.\n6. Substitute t = 2 to a, which gives a = 54.\n\nThus, the final answer is a = \\boxed{54}.",
"index": 22624,
"question": "Suppose a collection of variables is related by the following definitions: d = n + 15; a = j + 15; v = r + 4; n = t + 17; j = h + 6; g = t + 14; l = s + 2; t = 2; h = p + 2; p = z + 1; z = g + 14; s = d + 10; r = l + 6. Given that t = 2, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"b": "j + 10", "r": "b + 9", "v": "r + 20", "e": "v + 1", "a": "e + 10", "o": "a + 7", "n": "j + 18", "w": "n + 16", "i": "w + 19", "t": "i + 11", "s": "t + 4", "d": "s + 12", "j": 18}, "premises": {"j": 18}, "target": "o"}, "answer": {"steps": [["a", "e + 10", "e + 17"], ["e", "v + 1", "v + 18"], ["v", "r + 20", "r + 38"], ["r", "b + 9", "b + 47"], ["b", "j + 10", "j + 57"], ["j", 18, "75"]], "target_var_name": "o", "target_value": 75, "value_dict": {"j": 18}, "is_reverse": true}}
| 22,625
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = v + 1; i = w + 19; v = r + 20; s = t + 4; j = 18; t = i + 11; d = s + 12; r = b + 9; n = j + 18; b = j + 10; w = n + 16; a = e + 10; o = a + 7. Given that j = 18, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = e + 10 to o, which gives o = e + 17.\n2. Substitute e = v + 1 to o, which gives o = v + 18.\n3. Substitute v = r + 20 to o, which gives o = r + 38.\n4. Substitute r = b + 9 to o, which gives o = b + 47.\n5. Substitute b = j + 10 to o, which gives o = j + 57.\n6. Substitute j = 18 to o, which gives o = 75.\n\nThus, the final answer is o = \\boxed{75}.",
"index": 22625,
"question": "Suppose a collection of variables is related by the following definitions: e = v + 1; i = w + 19; v = r + 20; s = t + 4; j = 18; t = i + 11; d = s + 12; r = b + 9; n = j + 18; b = j + 10; w = n + 16; a = e + 10; o = a + 7. Given that j = 18, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"e": "w + 14", "v": "e + 18", "r": "v + 11", "y": "r + 13", "s": "y + 18", "h": "s + 7", "j": "w + 8", "q": "j + 7", "o": "q + 17", "l": "o + 17", "i": "l + 11", "f": "i + 15", "w": 14}, "premises": {"w": 14}, "target": "h"}, "answer": {"steps": [["s", "y + 18", "y + 25"], ["y", "r + 13", "r + 38"], ["r", "v + 11", "v + 49"], ["v", "e + 18", "e + 67"], ["e", "w + 14", "w + 81"], ["w", 14, "95"]], "target_var_name": "h", "target_value": 95, "value_dict": {"w": 14}, "is_reverse": true}}
| 22,626
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = y + 18; f = i + 15; h = s + 7; v = e + 18; o = q + 17; l = o + 17; j = w + 8; w = 14; i = l + 11; e = w + 14; y = r + 13; q = j + 7; r = v + 11. If w = 14, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = y + 18 to h, which gives h = y + 25.\n2. Substitute y = r + 13 to h, which gives h = r + 38.\n3. Substitute r = v + 11 to h, which gives h = v + 49.\n4. Substitute v = e + 18 to h, which gives h = e + 67.\n5. Substitute e = w + 14 to h, which gives h = w + 81.\n6. Substitute w = 14 to h, which gives h = 95.\n\nThus, the final answer is h = \\boxed{95}.",
"index": 22626,
"question": "Consider a system of variables where each variable is defined as follows: s = y + 18; f = i + 15; h = s + 7; v = e + 18; o = q + 17; l = o + 17; j = w + 8; w = 14; i = l + 11; e = w + 14; y = r + 13; q = j + 7; r = v + 11. If w = 14, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"d": "n + 2", "v": "d + 2", "a": "v + 16", "z": "a + 18", "j": "z + 13", "r": "j + 15", "b": "n + 7", "k": "b + 14", "t": "k + 11", "l": "t + 7", "w": "l + 9", "h": "w + 6", "n": 10}, "premises": {"n": 10}, "target": "r"}, "answer": {"steps": [["j", "z + 13", "z + 28"], ["z", "a + 18", "a + 46"], ["a", "v + 16", "v + 62"], ["v", "d + 2", "d + 64"], ["d", "n + 2", "n + 66"], ["n", 10, "76"]], "target_var_name": "r", "target_value": 76, "value_dict": {"n": 10}, "is_reverse": true}}
| 22,627
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = j + 15; z = a + 18; h = w + 6; w = l + 9; b = n + 7; j = z + 13; v = d + 2; a = v + 16; d = n + 2; t = k + 11; k = b + 14; l = t + 7; n = 10. If n = 10, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = z + 13 to r, which gives r = z + 28.\n2. Substitute z = a + 18 to r, which gives r = a + 46.\n3. Substitute a = v + 16 to r, which gives r = v + 62.\n4. Substitute v = d + 2 to r, which gives r = d + 64.\n5. Substitute d = n + 2 to r, which gives r = n + 66.\n6. Substitute n = 10 to r, which gives r = 76.\n\nThus, the final answer is r = \\boxed{76}.",
"index": 22627,
"question": "Consider a system of variables where each variable is defined as follows: r = j + 15; z = a + 18; h = w + 6; w = l + 9; b = n + 7; j = z + 13; v = d + 2; a = v + 16; d = n + 2; t = k + 11; k = b + 14; l = t + 7; n = 10. If n = 10, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"v": "x + 11", "g": "v + 15", "w": "g + 5", "c": "w + 4", "h": "c + 6", "e": "h + 3", "f": "x + 19", "u": "f + 3", "p": "u + 17", "b": "p + 18", "q": "b + 3", "o": "q + 18", "x": 7}, "premises": {"x": 7}, "target": "e"}, "answer": {"steps": [["h", "c + 6", "c + 9"], ["c", "w + 4", "w + 13"], ["w", "g + 5", "g + 18"], ["g", "v + 15", "v + 33"], ["v", "x + 11", "x + 44"], ["x", 7, "51"]], "target_var_name": "e", "target_value": 51, "value_dict": {"x": 7}, "is_reverse": true}}
| 22,628
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = v + 15; h = c + 6; b = p + 18; v = x + 11; x = 7; q = b + 3; e = h + 3; p = u + 17; f = x + 19; o = q + 18; w = g + 5; c = w + 4; u = f + 3. If x = 7, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = c + 6 to e, which gives e = c + 9.\n2. Substitute c = w + 4 to e, which gives e = w + 13.\n3. Substitute w = g + 5 to e, which gives e = g + 18.\n4. Substitute g = v + 15 to e, which gives e = v + 33.\n5. Substitute v = x + 11 to e, which gives e = x + 44.\n6. Substitute x = 7 to e, which gives e = 51.\n\nThus, the final answer is e = \\boxed{51}.",
"index": 22628,
"question": "Consider a system of variables where each variable is defined as follows: g = v + 15; h = c + 6; b = p + 18; v = x + 11; x = 7; q = b + 3; e = h + 3; p = u + 17; f = x + 19; o = q + 18; w = g + 5; c = w + 4; u = f + 3. If x = 7, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"i": "z + 8", "h": "i + 10", "r": "h + 4", "b": "r + 5", "o": "b + 14", "u": "o + 11", "v": "z + 15", "k": "v + 3", "q": "k + 10", "y": "q + 7", "f": "y + 8", "e": "f + 13", "z": 16}, "premises": {"z": 16}, "target": "u"}, "answer": {"steps": [["o", "b + 14", "b + 25"], ["b", "r + 5", "r + 30"], ["r", "h + 4", "h + 34"], ["h", "i + 10", "i + 44"], ["i", "z + 8", "z + 52"], ["z", 16, "68"]], "target_var_name": "u", "target_value": 68, "value_dict": {"z": 16}, "is_reverse": true}}
| 22,629
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = f + 13; h = i + 10; f = y + 8; k = v + 3; r = h + 4; o = b + 14; z = 16; y = q + 7; q = k + 10; i = z + 8; v = z + 15; u = o + 11; b = r + 5. If z = 16, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = b + 14 to u, which gives u = b + 25.\n2. Substitute b = r + 5 to u, which gives u = r + 30.\n3. Substitute r = h + 4 to u, which gives u = h + 34.\n4. Substitute h = i + 10 to u, which gives u = i + 44.\n5. Substitute i = z + 8 to u, which gives u = z + 52.\n6. Substitute z = 16 to u, which gives u = 68.\n\nThus, the final answer is u = \\boxed{68}.",
"index": 22629,
"question": "Consider a system of variables where each variable is defined as follows: e = f + 13; h = i + 10; f = y + 8; k = v + 3; r = h + 4; o = b + 14; z = 16; y = q + 7; q = k + 10; i = z + 8; v = z + 15; u = o + 11; b = r + 5. If z = 16, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"l": "p + 13", "t": "l + 9", "s": "t + 8", "v": "s + 14", "i": "v + 8", "n": "i + 18", "h": "p + 5", "a": "h + 14", "z": "a + 18", "w": "z + 14", "o": "w + 3", "g": "o + 8", "p": 14}, "premises": {"p": 14}, "target": "n"}, "answer": {"steps": [["i", "v + 8", "v + 26"], ["v", "s + 14", "s + 40"], ["s", "t + 8", "t + 48"], ["t", "l + 9", "l + 57"], ["l", "p + 13", "p + 70"], ["p", 14, "84"]], "target_var_name": "n", "target_value": 84, "value_dict": {"p": 14}, "is_reverse": true}}
| 22,630
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = h + 14; l = p + 13; n = i + 18; i = v + 8; p = 14; v = s + 14; w = z + 14; o = w + 3; z = a + 18; h = p + 5; t = l + 9; s = t + 8; g = o + 8. If p = 14, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = v + 8 to n, which gives n = v + 26.\n2. Substitute v = s + 14 to n, which gives n = s + 40.\n3. Substitute s = t + 8 to n, which gives n = t + 48.\n4. Substitute t = l + 9 to n, which gives n = l + 57.\n5. Substitute l = p + 13 to n, which gives n = p + 70.\n6. Substitute p = 14 to n, which gives n = 84.\n\nThus, the final answer is n = \\boxed{84}.",
"index": 22630,
"question": "Consider a system of variables where each variable is defined as follows: a = h + 14; l = p + 13; n = i + 18; i = v + 8; p = 14; v = s + 14; w = z + 14; o = w + 3; z = a + 18; h = p + 5; t = l + 9; s = t + 8; g = o + 8. If p = 14, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"l": "k + 17", "f": "l + 1", "c": "f + 18", "r": "c + 8", "t": "r + 7", "s": "t + 18", "y": "k + 5", "p": "y + 20", "g": "p + 10", "b": "g + 1", "q": "b + 14", "o": "q + 4", "k": 18}, "premises": {"k": 18}, "target": "s"}, "answer": {"steps": [["t", "r + 7", "r + 25"], ["r", "c + 8", "c + 33"], ["c", "f + 18", "f + 51"], ["f", "l + 1", "l + 52"], ["l", "k + 17", "k + 69"], ["k", 18, "87"]], "target_var_name": "s", "target_value": 87, "value_dict": {"k": 18}, "is_reverse": true}}
| 22,631
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = f + 18; l = k + 17; g = p + 10; p = y + 20; k = 18; o = q + 4; q = b + 14; f = l + 1; r = c + 8; s = t + 18; y = k + 5; t = r + 7; b = g + 1. Given that k = 18, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = r + 7 to s, which gives s = r + 25.\n2. Substitute r = c + 8 to s, which gives s = c + 33.\n3. Substitute c = f + 18 to s, which gives s = f + 51.\n4. Substitute f = l + 1 to s, which gives s = l + 52.\n5. Substitute l = k + 17 to s, which gives s = k + 69.\n6. Substitute k = 18 to s, which gives s = 87.\n\nThus, the final answer is s = \\boxed{87}.",
"index": 22631,
"question": "Suppose a collection of variables is related by the following definitions: c = f + 18; l = k + 17; g = p + 10; p = y + 20; k = 18; o = q + 4; q = b + 14; f = l + 1; r = c + 8; s = t + 18; y = k + 5; t = r + 7; b = g + 1. Given that k = 18, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"l": "y + 15", "c": "l + 7", "a": "c + 2", "k": "a + 16", "o": "k + 12", "r": "o + 11", "v": "y + 5", "g": "v + 6", "s": "g + 20", "j": "s + 1", "x": "j + 19", "h": "x + 9", "y": 16}, "premises": {"y": 16}, "target": "r"}, "answer": {"steps": [["o", "k + 12", "k + 23"], ["k", "a + 16", "a + 39"], ["a", "c + 2", "c + 41"], ["c", "l + 7", "l + 48"], ["l", "y + 15", "y + 63"], ["y", 16, "79"]], "target_var_name": "r", "target_value": 79, "value_dict": {"y": 16}, "is_reverse": true}}
| 22,632
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = x + 9; o = k + 12; c = l + 7; r = o + 11; j = s + 1; k = a + 16; s = g + 20; g = v + 6; x = j + 19; a = c + 2; v = y + 5; y = 16; l = y + 15. Given that y = 16, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = k + 12 to r, which gives r = k + 23.\n2. Substitute k = a + 16 to r, which gives r = a + 39.\n3. Substitute a = c + 2 to r, which gives r = c + 41.\n4. Substitute c = l + 7 to r, which gives r = l + 48.\n5. Substitute l = y + 15 to r, which gives r = y + 63.\n6. Substitute y = 16 to r, which gives r = 79.\n\nThus, the final answer is r = \\boxed{79}.",
"index": 22632,
"question": "Suppose a collection of variables is related by the following definitions: h = x + 9; o = k + 12; c = l + 7; r = o + 11; j = s + 1; k = a + 16; s = g + 20; g = v + 6; x = j + 19; a = c + 2; v = y + 5; y = 16; l = y + 15. Given that y = 16, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"d": "i + 6", "b": "d + 5", "q": "b + 8", "t": "q + 19", "w": "t + 10", "f": "w + 14", "p": "i + 10", "r": "p + 10", "g": "r + 13", "m": "g + 3", "a": "m + 4", "s": "a + 19", "i": 4}, "premises": {"i": 4}, "target": "f"}, "answer": {"steps": [["w", "t + 10", "t + 24"], ["t", "q + 19", "q + 43"], ["q", "b + 8", "b + 51"], ["b", "d + 5", "d + 56"], ["d", "i + 6", "i + 62"], ["i", 4, "66"]], "target_var_name": "f", "target_value": 66, "value_dict": {"i": 4}, "is_reverse": true}}
| 22,633
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = t + 10; a = m + 4; s = a + 19; r = p + 10; b = d + 5; p = i + 10; g = r + 13; i = 4; f = w + 14; m = g + 3; d = i + 6; q = b + 8; t = q + 19. Given that i = 4, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = t + 10 to f, which gives f = t + 24.\n2. Substitute t = q + 19 to f, which gives f = q + 43.\n3. Substitute q = b + 8 to f, which gives f = b + 51.\n4. Substitute b = d + 5 to f, which gives f = d + 56.\n5. Substitute d = i + 6 to f, which gives f = i + 62.\n6. Substitute i = 4 to f, which gives f = 66.\n\nThus, the final answer is f = \\boxed{66}.",
"index": 22633,
"question": "Suppose a collection of variables is related by the following definitions: w = t + 10; a = m + 4; s = a + 19; r = p + 10; b = d + 5; p = i + 10; g = r + 13; i = 4; f = w + 14; m = g + 3; d = i + 6; q = b + 8; t = q + 19. Given that i = 4, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"i": "t + 2", "e": "i + 20", "z": "e + 19", "s": "z + 10", "h": "s + 13", "k": "h + 14", "d": "t + 9", "r": "d + 4", "j": "r + 5", "n": "j + 14", "a": "n + 10", "b": "a + 9", "t": 7}, "premises": {"t": 7}, "target": "k"}, "answer": {"steps": [["h", "s + 13", "s + 27"], ["s", "z + 10", "z + 37"], ["z", "e + 19", "e + 56"], ["e", "i + 20", "i + 76"], ["i", "t + 2", "t + 78"], ["t", 7, "85"]], "target_var_name": "k", "target_value": 85, "value_dict": {"t": 7}, "is_reverse": true}}
| 22,634
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = s + 13; e = i + 20; s = z + 10; r = d + 4; z = e + 19; t = 7; b = a + 9; d = t + 9; n = j + 14; a = n + 10; i = t + 2; j = r + 5; k = h + 14. If t = 7, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = s + 13 to k, which gives k = s + 27.\n2. Substitute s = z + 10 to k, which gives k = z + 37.\n3. Substitute z = e + 19 to k, which gives k = e + 56.\n4. Substitute e = i + 20 to k, which gives k = i + 76.\n5. Substitute i = t + 2 to k, which gives k = t + 78.\n6. Substitute t = 7 to k, which gives k = 85.\n\nThus, the final answer is k = \\boxed{85}.",
"index": 22634,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = s + 13; e = i + 20; s = z + 10; r = d + 4; z = e + 19; t = 7; b = a + 9; d = t + 9; n = j + 14; a = n + 10; i = t + 2; j = r + 5; k = h + 14. If t = 7, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"i": "g + 13", "r": "i + 18", "n": "r + 5", "t": "n + 18", "z": "t + 2", "b": "z + 19", "a": "g + 14", "q": "a + 7", "v": "q + 3", "m": "v + 20", "e": "m + 18", "o": "e + 1", "g": 6}, "premises": {"g": 6}, "target": "b"}, "answer": {"steps": [["z", "t + 2", "t + 21"], ["t", "n + 18", "n + 39"], ["n", "r + 5", "r + 44"], ["r", "i + 18", "i + 62"], ["i", "g + 13", "g + 75"], ["g", 6, "81"]], "target_var_name": "b", "target_value": 81, "value_dict": {"g": 6}, "is_reverse": true}}
| 22,635
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = i + 18; t = n + 18; b = z + 19; o = e + 1; g = 6; q = a + 7; n = r + 5; i = g + 13; v = q + 3; a = g + 14; m = v + 20; z = t + 2; e = m + 18. Given that g = 6, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = t + 2 to b, which gives b = t + 21.\n2. Substitute t = n + 18 to b, which gives b = n + 39.\n3. Substitute n = r + 5 to b, which gives b = r + 44.\n4. Substitute r = i + 18 to b, which gives b = i + 62.\n5. Substitute i = g + 13 to b, which gives b = g + 75.\n6. Substitute g = 6 to b, which gives b = 81.\n\nThus, the final answer is b = \\boxed{81}.",
"index": 22635,
"question": "Suppose a collection of variables is related by the following definitions: r = i + 18; t = n + 18; b = z + 19; o = e + 1; g = 6; q = a + 7; n = r + 5; i = g + 13; v = q + 3; a = g + 14; m = v + 20; z = t + 2; e = m + 18. Given that g = 6, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"o": "a + 14", "g": "o + 19", "j": "g + 12", "x": "j + 6", "i": "x + 15", "t": "i + 11", "m": "a + 6", "k": "m + 11", "u": "k + 10", "f": "u + 9", "v": "f + 1", "w": "v + 5", "a": 10}, "premises": {"a": 10}, "target": "t"}, "answer": {"steps": [["i", "x + 15", "x + 26"], ["x", "j + 6", "j + 32"], ["j", "g + 12", "g + 44"], ["g", "o + 19", "o + 63"], ["o", "a + 14", "a + 77"], ["a", 10, "87"]], "target_var_name": "t", "target_value": 87, "value_dict": {"a": 10}, "is_reverse": true}}
| 22,636
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = a + 14; i = x + 15; a = 10; m = a + 6; u = k + 10; t = i + 11; w = v + 5; k = m + 11; j = g + 12; f = u + 9; x = j + 6; v = f + 1; g = o + 19. Given that a = 10, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = x + 15 to t, which gives t = x + 26.\n2. Substitute x = j + 6 to t, which gives t = j + 32.\n3. Substitute j = g + 12 to t, which gives t = g + 44.\n4. Substitute g = o + 19 to t, which gives t = o + 63.\n5. Substitute o = a + 14 to t, which gives t = a + 77.\n6. Substitute a = 10 to t, which gives t = 87.\n\nThus, the final answer is t = \\boxed{87}.",
"index": 22636,
"question": "Suppose a collection of variables is related by the following definitions: o = a + 14; i = x + 15; a = 10; m = a + 6; u = k + 10; t = i + 11; w = v + 5; k = m + 11; j = g + 12; f = u + 9; x = j + 6; v = f + 1; g = o + 19. Given that a = 10, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"h": "y + 1", "z": "h + 17", "v": "z + 10", "w": "v + 20", "j": "w + 6", "t": "j + 4", "m": "y + 12", "b": "m + 6", "s": "b + 19", "r": "s + 20", "x": "r + 20", "q": "x + 19", "y": 3}, "premises": {"y": 3}, "target": "t"}, "answer": {"steps": [["j", "w + 6", "w + 10"], ["w", "v + 20", "v + 30"], ["v", "z + 10", "z + 40"], ["z", "h + 17", "h + 57"], ["h", "y + 1", "y + 58"], ["y", 3, "61"]], "target_var_name": "t", "target_value": 61, "value_dict": {"y": 3}, "is_reverse": true}}
| 22,637
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = h + 17; t = j + 4; m = y + 12; v = z + 10; j = w + 6; w = v + 20; y = 3; r = s + 20; b = m + 6; h = y + 1; s = b + 19; x = r + 20; q = x + 19. If y = 3, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = w + 6 to t, which gives t = w + 10.\n2. Substitute w = v + 20 to t, which gives t = v + 30.\n3. Substitute v = z + 10 to t, which gives t = z + 40.\n4. Substitute z = h + 17 to t, which gives t = h + 57.\n5. Substitute h = y + 1 to t, which gives t = y + 58.\n6. Substitute y = 3 to t, which gives t = 61.\n\nThus, the final answer is t = \\boxed{61}.",
"index": 22637,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = h + 17; t = j + 4; m = y + 12; v = z + 10; j = w + 6; w = v + 20; y = 3; r = s + 20; b = m + 6; h = y + 1; s = b + 19; x = r + 20; q = x + 19. If y = 3, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"q": "z + 20", "o": "q + 12", "y": "o + 18", "d": "y + 6", "w": "d + 10", "h": "w + 5", "c": "z + 8", "j": "c + 6", "k": "j + 5", "a": "k + 10", "s": "a + 2", "i": "s + 18", "z": 5}, "premises": {"z": 5}, "target": "h"}, "answer": {"steps": [["w", "d + 10", "d + 15"], ["d", "y + 6", "y + 21"], ["y", "o + 18", "o + 39"], ["o", "q + 12", "q + 51"], ["q", "z + 20", "z + 71"], ["z", 5, "76"]], "target_var_name": "h", "target_value": 76, "value_dict": {"z": 5}, "is_reverse": true}}
| 22,638
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = d + 10; j = c + 6; d = y + 6; c = z + 8; k = j + 5; h = w + 5; z = 5; a = k + 10; s = a + 2; y = o + 18; i = s + 18; o = q + 12; q = z + 20. Given that z = 5, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = d + 10 to h, which gives h = d + 15.\n2. Substitute d = y + 6 to h, which gives h = y + 21.\n3. Substitute y = o + 18 to h, which gives h = o + 39.\n4. Substitute o = q + 12 to h, which gives h = q + 51.\n5. Substitute q = z + 20 to h, which gives h = z + 71.\n6. Substitute z = 5 to h, which gives h = 76.\n\nThus, the final answer is h = \\boxed{76}.",
"index": 22638,
"question": "Suppose a collection of variables is related by the following definitions: w = d + 10; j = c + 6; d = y + 6; c = z + 8; k = j + 5; h = w + 5; z = 5; a = k + 10; s = a + 2; y = o + 18; i = s + 18; o = q + 12; q = z + 20. Given that z = 5, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"k": "o + 20", "n": "k + 4", "s": "n + 1", "w": "s + 2", "v": "w + 13", "u": "v + 10", "x": "o + 6", "l": "x + 10", "t": "l + 20", "a": "t + 10", "f": "a + 11", "q": "f + 6", "o": 5}, "premises": {"o": 5}, "target": "u"}, "answer": {"steps": [["v", "w + 13", "w + 23"], ["w", "s + 2", "s + 25"], ["s", "n + 1", "n + 26"], ["n", "k + 4", "k + 30"], ["k", "o + 20", "o + 50"], ["o", 5, "55"]], "target_var_name": "u", "target_value": 55, "value_dict": {"o": 5}, "is_reverse": true}}
| 22,639
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = k + 4; s = n + 1; f = a + 11; k = o + 20; w = s + 2; a = t + 10; l = x + 10; o = 5; q = f + 6; v = w + 13; x = o + 6; u = v + 10; t = l + 20. If o = 5, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = w + 13 to u, which gives u = w + 23.\n2. Substitute w = s + 2 to u, which gives u = s + 25.\n3. Substitute s = n + 1 to u, which gives u = n + 26.\n4. Substitute n = k + 4 to u, which gives u = k + 30.\n5. Substitute k = o + 20 to u, which gives u = o + 50.\n6. Substitute o = 5 to u, which gives u = 55.\n\nThus, the final answer is u = \\boxed{55}.",
"index": 22639,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = k + 4; s = n + 1; f = a + 11; k = o + 20; w = s + 2; a = t + 10; l = x + 10; o = 5; q = f + 6; v = w + 13; x = o + 6; u = v + 10; t = l + 20. If o = 5, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"s": "l + 12", "x": "s + 6", "o": "x + 18", "k": "o + 7", "j": "k + 2", "h": "j + 17", "i": "l + 19", "a": "i + 18", "c": "a + 9", "t": "c + 12", "g": "t + 11", "n": "g + 12", "l": 5}, "premises": {"l": 5}, "target": "h"}, "answer": {"steps": [["j", "k + 2", "k + 19"], ["k", "o + 7", "o + 26"], ["o", "x + 18", "x + 44"], ["x", "s + 6", "s + 50"], ["s", "l + 12", "l + 62"], ["l", 5, "67"]], "target_var_name": "h", "target_value": 67, "value_dict": {"l": 5}, "is_reverse": true}}
| 22,640
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = s + 6; n = g + 12; t = c + 12; s = l + 12; l = 5; o = x + 18; i = l + 19; j = k + 2; k = o + 7; g = t + 11; h = j + 17; a = i + 18; c = a + 9. Given that l = 5, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = k + 2 to h, which gives h = k + 19.\n2. Substitute k = o + 7 to h, which gives h = o + 26.\n3. Substitute o = x + 18 to h, which gives h = x + 44.\n4. Substitute x = s + 6 to h, which gives h = s + 50.\n5. Substitute s = l + 12 to h, which gives h = l + 62.\n6. Substitute l = 5 to h, which gives h = 67.\n\nThus, the final answer is h = \\boxed{67}.",
"index": 22640,
"question": "Suppose a collection of variables is related by the following definitions: x = s + 6; n = g + 12; t = c + 12; s = l + 12; l = 5; o = x + 18; i = l + 19; j = k + 2; k = o + 7; g = t + 11; h = j + 17; a = i + 18; c = a + 9. Given that l = 5, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"g": "m + 6", "i": "g + 11", "l": "i + 16", "y": "l + 8", "t": "y + 12", "h": "t + 14", "e": "m + 6", "s": "e + 11", "d": "s + 1", "j": "d + 4", "u": "j + 17", "o": "u + 14", "m": 11}, "premises": {"m": 11}, "target": "h"}, "answer": {"steps": [["t", "y + 12", "y + 26"], ["y", "l + 8", "l + 34"], ["l", "i + 16", "i + 50"], ["i", "g + 11", "g + 61"], ["g", "m + 6", "m + 67"], ["m", 11, "78"]], "target_var_name": "h", "target_value": 78, "value_dict": {"m": 11}, "is_reverse": true}}
| 22,641
| 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 = d + 4; m = 11; g = m + 6; o = u + 14; i = g + 11; y = l + 8; d = s + 1; t = y + 12; s = e + 11; e = m + 6; l = i + 16; h = t + 14; u = j + 17. If m = 11, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = y + 12 to h, which gives h = y + 26.\n2. Substitute y = l + 8 to h, which gives h = l + 34.\n3. Substitute l = i + 16 to h, which gives h = i + 50.\n4. Substitute i = g + 11 to h, which gives h = g + 61.\n5. Substitute g = m + 6 to h, which gives h = m + 67.\n6. Substitute m = 11 to h, which gives h = 78.\n\nThus, the final answer is h = \\boxed{78}.",
"index": 22641,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = d + 4; m = 11; g = m + 6; o = u + 14; i = g + 11; y = l + 8; d = s + 1; t = y + 12; s = e + 11; e = m + 6; l = i + 16; h = t + 14; u = j + 17. If m = 11, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"q": "m + 20", "l": "q + 20", "u": "l + 2", "y": "u + 5", "h": "y + 6", "p": "h + 13", "d": "m + 19", "w": "d + 10", "j": "w + 18", "g": "j + 5", "z": "g + 1", "r": "z + 6", "m": 9}, "premises": {"m": 9}, "target": "p"}, "answer": {"steps": [["h", "y + 6", "y + 19"], ["y", "u + 5", "u + 24"], ["u", "l + 2", "l + 26"], ["l", "q + 20", "q + 46"], ["q", "m + 20", "m + 66"], ["m", 9, "75"]], "target_var_name": "p", "target_value": 75, "value_dict": {"m": 9}, "is_reverse": true}}
| 22,642
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = 9; y = u + 5; l = q + 20; r = z + 6; j = w + 18; h = y + 6; z = g + 1; u = l + 2; d = m + 19; w = d + 10; p = h + 13; g = j + 5; q = m + 20. If m = 9, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = y + 6 to p, which gives p = y + 19.\n2. Substitute y = u + 5 to p, which gives p = u + 24.\n3. Substitute u = l + 2 to p, which gives p = l + 26.\n4. Substitute l = q + 20 to p, which gives p = q + 46.\n5. Substitute q = m + 20 to p, which gives p = m + 66.\n6. Substitute m = 9 to p, which gives p = 75.\n\nThus, the final answer is p = \\boxed{75}.",
"index": 22642,
"question": "Consider a system of variables where each variable is defined as follows: m = 9; y = u + 5; l = q + 20; r = z + 6; j = w + 18; h = y + 6; z = g + 1; u = l + 2; d = m + 19; w = d + 10; p = h + 13; g = j + 5; q = m + 20. If m = 9, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"m": "d + 2", "k": "m + 5", "q": "k + 4", "a": "q + 3", "s": "a + 15", "j": "s + 10", "g": "d + 10", "l": "g + 12", "o": "l + 9", "y": "o + 5", "e": "y + 6", "p": "e + 1", "d": 4}, "premises": {"d": 4}, "target": "j"}, "answer": {"steps": [["s", "a + 15", "a + 25"], ["a", "q + 3", "q + 28"], ["q", "k + 4", "k + 32"], ["k", "m + 5", "m + 37"], ["m", "d + 2", "d + 39"], ["d", 4, "43"]], "target_var_name": "j", "target_value": 43, "value_dict": {"d": 4}, "is_reverse": true}}
| 22,643
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = s + 10; q = k + 4; d = 4; s = a + 15; p = e + 1; k = m + 5; y = o + 5; a = q + 3; m = d + 2; o = l + 9; l = g + 12; g = d + 10; e = y + 6. Given that d = 4, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 43,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = a + 15 to j, which gives j = a + 25.\n2. Substitute a = q + 3 to j, which gives j = q + 28.\n3. Substitute q = k + 4 to j, which gives j = k + 32.\n4. Substitute k = m + 5 to j, which gives j = m + 37.\n5. Substitute m = d + 2 to j, which gives j = d + 39.\n6. Substitute d = 4 to j, which gives j = 43.\n\nThus, the final answer is j = \\boxed{43}.",
"index": 22643,
"question": "Suppose a collection of variables is related by the following definitions: j = s + 10; q = k + 4; d = 4; s = a + 15; p = e + 1; k = m + 5; y = o + 5; a = q + 3; m = d + 2; o = l + 9; l = g + 12; g = d + 10; e = y + 6. Given that d = 4, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"w": "m + 3", "c": "w + 13", "f": "c + 2", "p": "f + 6", "k": "p + 3", "h": "k + 18", "b": "m + 13", "a": "b + 2", "x": "a + 4", "l": "x + 3", "e": "l + 11", "y": "e + 10", "m": 4}, "premises": {"m": 4}, "target": "h"}, "answer": {"steps": [["k", "p + 3", "p + 21"], ["p", "f + 6", "f + 27"], ["f", "c + 2", "c + 29"], ["c", "w + 13", "w + 42"], ["w", "m + 3", "m + 45"], ["m", 4, "49"]], "target_var_name": "h", "target_value": 49, "value_dict": {"m": 4}, "is_reverse": true}}
| 22,644
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = c + 2; x = a + 4; h = k + 18; b = m + 13; k = p + 3; c = w + 13; e = l + 11; y = e + 10; a = b + 2; p = f + 6; m = 4; l = x + 3; w = m + 3. If m = 4, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = p + 3 to h, which gives h = p + 21.\n2. Substitute p = f + 6 to h, which gives h = f + 27.\n3. Substitute f = c + 2 to h, which gives h = c + 29.\n4. Substitute c = w + 13 to h, which gives h = w + 42.\n5. Substitute w = m + 3 to h, which gives h = m + 45.\n6. Substitute m = 4 to h, which gives h = 49.\n\nThus, the final answer is h = \\boxed{49}.",
"index": 22644,
"question": "Consider a system of variables where each variable is defined as follows: f = c + 2; x = a + 4; h = k + 18; b = m + 13; k = p + 3; c = w + 13; e = l + 11; y = e + 10; a = b + 2; p = f + 6; m = 4; l = x + 3; w = m + 3. If m = 4, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"z": "g + 8", "c": "z + 3", "k": "c + 3", "o": "k + 10", "s": "o + 18", "b": "s + 5", "q": "g + 17", "m": "q + 7", "r": "m + 4", "x": "r + 15", "h": "x + 6", "n": "h + 6", "g": 7}, "premises": {"g": 7}, "target": "b"}, "answer": {"steps": [["s", "o + 18", "o + 23"], ["o", "k + 10", "k + 33"], ["k", "c + 3", "c + 36"], ["c", "z + 3", "z + 39"], ["z", "g + 8", "g + 47"], ["g", 7, "54"]], "target_var_name": "b", "target_value": 54, "value_dict": {"g": 7}, "is_reverse": true}}
| 22,645
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = g + 8; q = g + 17; g = 7; c = z + 3; x = r + 15; r = m + 4; o = k + 10; n = h + 6; k = c + 3; h = x + 6; m = q + 7; b = s + 5; s = o + 18. If g = 7, 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 s = o + 18 to b, which gives b = o + 23.\n2. Substitute o = k + 10 to b, which gives b = k + 33.\n3. Substitute k = c + 3 to b, which gives b = c + 36.\n4. Substitute c = z + 3 to b, which gives b = z + 39.\n5. Substitute z = g + 8 to b, which gives b = g + 47.\n6. Substitute g = 7 to b, which gives b = 54.\n\nThus, the final answer is b = \\boxed{54}.",
"index": 22645,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = g + 8; q = g + 17; g = 7; c = z + 3; x = r + 15; r = m + 4; o = k + 10; n = h + 6; k = c + 3; h = x + 6; m = q + 7; b = s + 5; s = o + 18. If g = 7, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"x": "n + 10", "j": "x + 6", "m": "j + 18", "z": "m + 15", "r": "z + 1", "y": "r + 17", "l": "n + 14", "f": "l + 5", "d": "f + 15", "b": "d + 14", "k": "b + 14", "q": "k + 13", "n": 16}, "premises": {"n": 16}, "target": "y"}, "answer": {"steps": [["r", "z + 1", "z + 18"], ["z", "m + 15", "m + 33"], ["m", "j + 18", "j + 51"], ["j", "x + 6", "x + 57"], ["x", "n + 10", "n + 67"], ["n", 16, "83"]], "target_var_name": "y", "target_value": 83, "value_dict": {"n": 16}, "is_reverse": true}}
| 22,646
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = l + 5; n = 16; b = d + 14; m = j + 18; y = r + 17; q = k + 13; z = m + 15; k = b + 14; x = n + 10; l = n + 14; j = x + 6; r = z + 1; d = f + 15. Given that n = 16, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = z + 1 to y, which gives y = z + 18.\n2. Substitute z = m + 15 to y, which gives y = m + 33.\n3. Substitute m = j + 18 to y, which gives y = j + 51.\n4. Substitute j = x + 6 to y, which gives y = x + 57.\n5. Substitute x = n + 10 to y, which gives y = n + 67.\n6. Substitute n = 16 to y, which gives y = 83.\n\nThus, the final answer is y = \\boxed{83}.",
"index": 22646,
"question": "Suppose a collection of variables is related by the following definitions: f = l + 5; n = 16; b = d + 14; m = j + 18; y = r + 17; q = k + 13; z = m + 15; k = b + 14; x = n + 10; l = n + 14; j = x + 6; r = z + 1; d = f + 15. Given that n = 16, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"f": "n + 14", "a": "f + 17", "y": "a + 19", "x": "y + 10", "l": "x + 8", "j": "l + 14", "d": "n + 9", "w": "d + 16", "q": "w + 15", "t": "q + 4", "m": "t + 17", "i": "m + 17", "n": 17}, "premises": {"n": 17}, "target": "j"}, "answer": {"steps": [["l", "x + 8", "x + 22"], ["x", "y + 10", "y + 32"], ["y", "a + 19", "a + 51"], ["a", "f + 17", "f + 68"], ["f", "n + 14", "n + 82"], ["n", 17, "99"]], "target_var_name": "j", "target_value": 99, "value_dict": {"n": 17}, "is_reverse": true}}
| 22,647
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = y + 10; n = 17; j = l + 14; m = t + 17; a = f + 17; y = a + 19; q = w + 15; t = q + 4; w = d + 16; l = x + 8; i = m + 17; f = n + 14; d = n + 9. Given that n = 17, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 99,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = x + 8 to j, which gives j = x + 22.\n2. Substitute x = y + 10 to j, which gives j = y + 32.\n3. Substitute y = a + 19 to j, which gives j = a + 51.\n4. Substitute a = f + 17 to j, which gives j = f + 68.\n5. Substitute f = n + 14 to j, which gives j = n + 82.\n6. Substitute n = 17 to j, which gives j = 99.\n\nThus, the final answer is j = \\boxed{99}.",
"index": 22647,
"question": "Suppose a collection of variables is related by the following definitions: x = y + 10; n = 17; j = l + 14; m = t + 17; a = f + 17; y = a + 19; q = w + 15; t = q + 4; w = d + 16; l = x + 8; i = m + 17; f = n + 14; d = n + 9. Given that n = 17, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"y": "f + 5", "o": "y + 18", "m": "o + 6", "z": "m + 6", "u": "z + 11", "s": "u + 13", "q": "f + 18", "e": "q + 8", "l": "e + 19", "k": "l + 6", "x": "k + 10", "g": "x + 12", "f": 13}, "premises": {"f": 13}, "target": "s"}, "answer": {"steps": [["u", "z + 11", "z + 24"], ["z", "m + 6", "m + 30"], ["m", "o + 6", "o + 36"], ["o", "y + 18", "y + 54"], ["y", "f + 5", "f + 59"], ["f", 13, "72"]], "target_var_name": "s", "target_value": 72, "value_dict": {"f": 13}, "is_reverse": true}}
| 22,648
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = f + 18; k = l + 6; l = e + 19; u = z + 11; e = q + 8; f = 13; g = x + 12; m = o + 6; z = m + 6; x = k + 10; y = f + 5; o = y + 18; s = u + 13. If f = 13, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = z + 11 to s, which gives s = z + 24.\n2. Substitute z = m + 6 to s, which gives s = m + 30.\n3. Substitute m = o + 6 to s, which gives s = o + 36.\n4. Substitute o = y + 18 to s, which gives s = y + 54.\n5. Substitute y = f + 5 to s, which gives s = f + 59.\n6. Substitute f = 13 to s, which gives s = 72.\n\nThus, the final answer is s = \\boxed{72}.",
"index": 22648,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = f + 18; k = l + 6; l = e + 19; u = z + 11; e = q + 8; f = 13; g = x + 12; m = o + 6; z = m + 6; x = k + 10; y = f + 5; o = y + 18; s = u + 13. If f = 13, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"o": "q + 8", "k": "o + 6", "m": "k + 19", "f": "m + 14", "l": "f + 19", "z": "l + 3", "p": "q + 19", "c": "p + 20", "e": "c + 14", "d": "e + 6", "j": "d + 20", "u": "j + 10", "q": 4}, "premises": {"q": 4}, "target": "z"}, "answer": {"steps": [["l", "f + 19", "f + 22"], ["f", "m + 14", "m + 36"], ["m", "k + 19", "k + 55"], ["k", "o + 6", "o + 61"], ["o", "q + 8", "q + 69"], ["q", 4, "73"]], "target_var_name": "z", "target_value": 73, "value_dict": {"q": 4}, "is_reverse": true}}
| 22,649
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = d + 20; d = e + 6; k = o + 6; z = l + 3; p = q + 19; e = c + 14; q = 4; m = k + 19; l = f + 19; u = j + 10; c = p + 20; f = m + 14; o = q + 8. If q = 4, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = f + 19 to z, which gives z = f + 22.\n2. Substitute f = m + 14 to z, which gives z = m + 36.\n3. Substitute m = k + 19 to z, which gives z = k + 55.\n4. Substitute k = o + 6 to z, which gives z = o + 61.\n5. Substitute o = q + 8 to z, which gives z = q + 69.\n6. Substitute q = 4 to z, which gives z = 73.\n\nThus, the final answer is z = \\boxed{73}.",
"index": 22649,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = d + 20; d = e + 6; k = o + 6; z = l + 3; p = q + 19; e = c + 14; q = 4; m = k + 19; l = f + 19; u = j + 10; c = p + 20; f = m + 14; o = q + 8. If q = 4, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"j": "y + 3", "w": "j + 16", "o": "w + 2", "d": "o + 6", "a": "d + 8", "b": "a + 15", "q": "y + 10", "g": "q + 1", "v": "g + 19", "s": "v + 1", "f": "s + 20", "i": "f + 12", "y": 6}, "premises": {"y": 6}, "target": "b"}, "answer": {"steps": [["a", "d + 8", "d + 23"], ["d", "o + 6", "o + 29"], ["o", "w + 2", "w + 31"], ["w", "j + 16", "j + 47"], ["j", "y + 3", "y + 50"], ["y", 6, "56"]], "target_var_name": "b", "target_value": 56, "value_dict": {"y": 6}, "is_reverse": true}}
| 22,650
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = j + 16; b = a + 15; o = w + 2; j = y + 3; y = 6; s = v + 1; f = s + 20; v = g + 19; q = y + 10; d = o + 6; g = q + 1; i = f + 12; a = d + 8. If y = 6, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = d + 8 to b, which gives b = d + 23.\n2. Substitute d = o + 6 to b, which gives b = o + 29.\n3. Substitute o = w + 2 to b, which gives b = w + 31.\n4. Substitute w = j + 16 to b, which gives b = j + 47.\n5. Substitute j = y + 3 to b, which gives b = y + 50.\n6. Substitute y = 6 to b, which gives b = 56.\n\nThus, the final answer is b = \\boxed{56}.",
"index": 22650,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = j + 16; b = a + 15; o = w + 2; j = y + 3; y = 6; s = v + 1; f = s + 20; v = g + 19; q = y + 10; d = o + 6; g = q + 1; i = f + 12; a = d + 8. If y = 6, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"p": "t + 18", "k": "p + 8", "i": "k + 19", "e": "i + 7", "o": "e + 5", "d": "o + 1", "h": "t + 15", "q": "h + 20", "u": "q + 3", "l": "u + 19", "v": "l + 6", "m": "v + 16", "t": 9}, "premises": {"t": 9}, "target": "d"}, "answer": {"steps": [["o", "e + 5", "e + 6"], ["e", "i + 7", "i + 13"], ["i", "k + 19", "k + 32"], ["k", "p + 8", "p + 40"], ["p", "t + 18", "t + 58"], ["t", 9, "67"]], "target_var_name": "d", "target_value": 67, "value_dict": {"t": 9}, "is_reverse": true}}
| 22,651
| 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 = t + 18; l = u + 19; k = p + 8; e = i + 7; t = 9; m = v + 16; i = k + 19; q = h + 20; d = o + 1; v = l + 6; h = t + 15; o = e + 5; u = q + 3. If t = 9, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = e + 5 to d, which gives d = e + 6.\n2. Substitute e = i + 7 to d, which gives d = i + 13.\n3. Substitute i = k + 19 to d, which gives d = k + 32.\n4. Substitute k = p + 8 to d, which gives d = p + 40.\n5. Substitute p = t + 18 to d, which gives d = t + 58.\n6. Substitute t = 9 to d, which gives d = 67.\n\nThus, the final answer is d = \\boxed{67}.",
"index": 22651,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = t + 18; l = u + 19; k = p + 8; e = i + 7; t = 9; m = v + 16; i = k + 19; q = h + 20; d = o + 1; v = l + 6; h = t + 15; o = e + 5; u = q + 3. If t = 9, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"x": "f + 4", "y": "x + 7", "n": "y + 13", "u": "n + 4", "e": "u + 20", "p": "e + 17", "w": "f + 14", "a": "w + 14", "v": "a + 14", "j": "v + 7", "g": "j + 8", "m": "g + 11", "f": 5}, "premises": {"f": 5}, "target": "p"}, "answer": {"steps": [["e", "u + 20", "u + 37"], ["u", "n + 4", "n + 41"], ["n", "y + 13", "y + 54"], ["y", "x + 7", "x + 61"], ["x", "f + 4", "f + 65"], ["f", 5, "70"]], "target_var_name": "p", "target_value": 70, "value_dict": {"f": 5}, "is_reverse": true}}
| 22,652
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = f + 4; w = f + 14; a = w + 14; y = x + 7; m = g + 11; n = y + 13; g = j + 8; p = e + 17; u = n + 4; v = a + 14; f = 5; j = v + 7; e = u + 20. If f = 5, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = u + 20 to p, which gives p = u + 37.\n2. Substitute u = n + 4 to p, which gives p = n + 41.\n3. Substitute n = y + 13 to p, which gives p = y + 54.\n4. Substitute y = x + 7 to p, which gives p = x + 61.\n5. Substitute x = f + 4 to p, which gives p = f + 65.\n6. Substitute f = 5 to p, which gives p = 70.\n\nThus, the final answer is p = \\boxed{70}.",
"index": 22652,
"question": "Consider a system of variables where each variable is defined as follows: x = f + 4; w = f + 14; a = w + 14; y = x + 7; m = g + 11; n = y + 13; g = j + 8; p = e + 17; u = n + 4; v = a + 14; f = 5; j = v + 7; e = u + 20. If f = 5, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"i": "r + 6", "c": "i + 2", "b": "c + 1", "m": "b + 13", "h": "m + 20", "s": "h + 4", "q": "r + 7", "a": "q + 9", "f": "a + 15", "n": "f + 4", "z": "n + 6", "e": "z + 12", "r": 5}, "premises": {"r": 5}, "target": "s"}, "answer": {"steps": [["h", "m + 20", "m + 24"], ["m", "b + 13", "b + 37"], ["b", "c + 1", "c + 38"], ["c", "i + 2", "i + 40"], ["i", "r + 6", "r + 46"], ["r", 5, "51"]], "target_var_name": "s", "target_value": 51, "value_dict": {"r": 5}, "is_reverse": true}}
| 22,653
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = f + 4; a = q + 9; m = b + 13; z = n + 6; c = i + 2; q = r + 7; s = h + 4; i = r + 6; r = 5; h = m + 20; b = c + 1; e = z + 12; f = a + 15. If r = 5, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = m + 20 to s, which gives s = m + 24.\n2. Substitute m = b + 13 to s, which gives s = b + 37.\n3. Substitute b = c + 1 to s, which gives s = c + 38.\n4. Substitute c = i + 2 to s, which gives s = i + 40.\n5. Substitute i = r + 6 to s, which gives s = r + 46.\n6. Substitute r = 5 to s, which gives s = 51.\n\nThus, the final answer is s = \\boxed{51}.",
"index": 22653,
"question": "Consider a system of variables where each variable is defined as follows: n = f + 4; a = q + 9; m = b + 13; z = n + 6; c = i + 2; q = r + 7; s = h + 4; i = r + 6; r = 5; h = m + 20; b = c + 1; e = z + 12; f = a + 15. If r = 5, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"w": "f + 1", "c": "w + 16", "o": "c + 18", "h": "o + 10", "r": "h + 19", "b": "r + 3", "d": "f + 17", "i": "d + 10", "z": "i + 7", "g": "z + 9", "l": "g + 16", "j": "l + 15", "f": 16}, "premises": {"f": 16}, "target": "b"}, "answer": {"steps": [["r", "h + 19", "h + 22"], ["h", "o + 10", "o + 32"], ["o", "c + 18", "c + 50"], ["c", "w + 16", "w + 66"], ["w", "f + 1", "f + 67"], ["f", 16, "83"]], "target_var_name": "b", "target_value": 83, "value_dict": {"f": 16}, "is_reverse": true}}
| 22,654
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = f + 1; r = h + 19; h = o + 10; i = d + 10; d = f + 17; o = c + 18; g = z + 9; c = w + 16; b = r + 3; f = 16; z = i + 7; j = l + 15; l = g + 16. If f = 16, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = h + 19 to b, which gives b = h + 22.\n2. Substitute h = o + 10 to b, which gives b = o + 32.\n3. Substitute o = c + 18 to b, which gives b = c + 50.\n4. Substitute c = w + 16 to b, which gives b = w + 66.\n5. Substitute w = f + 1 to b, which gives b = f + 67.\n6. Substitute f = 16 to b, which gives b = 83.\n\nThus, the final answer is b = \\boxed{83}.",
"index": 22654,
"question": "Consider a system of variables where each variable is defined as follows: w = f + 1; r = h + 19; h = o + 10; i = d + 10; d = f + 17; o = c + 18; g = z + 9; c = w + 16; b = r + 3; f = 16; z = i + 7; j = l + 15; l = g + 16. If f = 16, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"y": "u + 16", "n": "y + 9", "e": "n + 14", "z": "e + 11", "g": "z + 10", "j": "g + 2", "k": "u + 6", "a": "k + 14", "r": "a + 8", "o": "r + 19", "t": "o + 11", "q": "t + 12", "u": 7}, "premises": {"u": 7}, "target": "j"}, "answer": {"steps": [["g", "z + 10", "z + 12"], ["z", "e + 11", "e + 23"], ["e", "n + 14", "n + 37"], ["n", "y + 9", "y + 46"], ["y", "u + 16", "u + 62"], ["u", 7, "69"]], "target_var_name": "j", "target_value": 69, "value_dict": {"u": 7}, "is_reverse": true}}
| 22,655
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = u + 6; o = r + 19; j = g + 2; g = z + 10; e = n + 14; r = a + 8; u = 7; q = t + 12; n = y + 9; z = e + 11; y = u + 16; t = o + 11; a = k + 14. If u = 7, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = z + 10 to j, which gives j = z + 12.\n2. Substitute z = e + 11 to j, which gives j = e + 23.\n3. Substitute e = n + 14 to j, which gives j = n + 37.\n4. Substitute n = y + 9 to j, which gives j = y + 46.\n5. Substitute y = u + 16 to j, which gives j = u + 62.\n6. Substitute u = 7 to j, which gives j = 69.\n\nThus, the final answer is j = \\boxed{69}.",
"index": 22655,
"question": "Consider a system of variables where each variable is defined as follows: k = u + 6; o = r + 19; j = g + 2; g = z + 10; e = n + 14; r = a + 8; u = 7; q = t + 12; n = y + 9; z = e + 11; y = u + 16; t = o + 11; a = k + 14. If u = 7, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"d": "o + 11", "v": "d + 14", "s": "v + 17", "t": "s + 4", "c": "t + 1", "g": "c + 6", "a": "o + 8", "i": "a + 17", "n": "i + 9", "p": "n + 4", "j": "p + 8", "q": "j + 17", "o": 16}, "premises": {"o": 16}, "target": "g"}, "answer": {"steps": [["c", "t + 1", "t + 7"], ["t", "s + 4", "s + 11"], ["s", "v + 17", "v + 28"], ["v", "d + 14", "d + 42"], ["d", "o + 11", "o + 53"], ["o", 16, "69"]], "target_var_name": "g", "target_value": 69, "value_dict": {"o": 16}, "is_reverse": true}}
| 22,656
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = c + 6; c = t + 1; j = p + 8; d = o + 11; q = j + 17; p = n + 4; a = o + 8; o = 16; t = s + 4; v = d + 14; i = a + 17; n = i + 9; s = v + 17. If o = 16, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = t + 1 to g, which gives g = t + 7.\n2. Substitute t = s + 4 to g, which gives g = s + 11.\n3. Substitute s = v + 17 to g, which gives g = v + 28.\n4. Substitute v = d + 14 to g, which gives g = d + 42.\n5. Substitute d = o + 11 to g, which gives g = o + 53.\n6. Substitute o = 16 to g, which gives g = 69.\n\nThus, the final answer is g = \\boxed{69}.",
"index": 22656,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = c + 6; c = t + 1; j = p + 8; d = o + 11; q = j + 17; p = n + 4; a = o + 8; o = 16; t = s + 4; v = d + 14; i = a + 17; n = i + 9; s = v + 17. If o = 16, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"z": "o + 5", "e": "z + 11", "h": "e + 2", "v": "h + 4", "x": "v + 18", "p": "x + 7", "y": "o + 19", "w": "y + 17", "f": "w + 6", "s": "f + 3", "l": "s + 2", "i": "l + 16", "o": 3}, "premises": {"o": 3}, "target": "p"}, "answer": {"steps": [["x", "v + 18", "v + 25"], ["v", "h + 4", "h + 29"], ["h", "e + 2", "e + 31"], ["e", "z + 11", "z + 42"], ["z", "o + 5", "o + 47"], ["o", 3, "50"]], "target_var_name": "p", "target_value": 50, "value_dict": {"o": 3}, "is_reverse": true}}
| 22,657
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = w + 6; z = o + 5; x = v + 18; v = h + 4; h = e + 2; s = f + 3; o = 3; p = x + 7; e = z + 11; y = o + 19; l = s + 2; w = y + 17; i = l + 16. If o = 3, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 50,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = v + 18 to p, which gives p = v + 25.\n2. Substitute v = h + 4 to p, which gives p = h + 29.\n3. Substitute h = e + 2 to p, which gives p = e + 31.\n4. Substitute e = z + 11 to p, which gives p = z + 42.\n5. Substitute z = o + 5 to p, which gives p = o + 47.\n6. Substitute o = 3 to p, which gives p = 50.\n\nThus, the final answer is p = \\boxed{50}.",
"index": 22657,
"question": "Consider a system of variables where each variable is defined as follows: f = w + 6; z = o + 5; x = v + 18; v = h + 4; h = e + 2; s = f + 3; o = 3; p = x + 7; e = z + 11; y = o + 19; l = s + 2; w = y + 17; i = l + 16. If o = 3, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"j": "r + 12", "d": "j + 13", "e": "d + 4", "u": "e + 7", "c": "u + 3", "y": "c + 4", "s": "r + 10", "l": "s + 3", "o": "l + 10", "h": "o + 19", "a": "h + 7", "z": "a + 16", "r": 14}, "premises": {"r": 14}, "target": "y"}, "answer": {"steps": [["c", "u + 3", "u + 7"], ["u", "e + 7", "e + 14"], ["e", "d + 4", "d + 18"], ["d", "j + 13", "j + 31"], ["j", "r + 12", "r + 43"], ["r", 14, "57"]], "target_var_name": "y", "target_value": 57, "value_dict": {"r": 14}, "is_reverse": true}}
| 22,658
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = e + 7; y = c + 4; j = r + 12; a = h + 7; d = j + 13; z = a + 16; o = l + 10; c = u + 3; h = o + 19; e = d + 4; r = 14; s = r + 10; l = s + 3. Given that r = 14, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = u + 3 to y, which gives y = u + 7.\n2. Substitute u = e + 7 to y, which gives y = e + 14.\n3. Substitute e = d + 4 to y, which gives y = d + 18.\n4. Substitute d = j + 13 to y, which gives y = j + 31.\n5. Substitute j = r + 12 to y, which gives y = r + 43.\n6. Substitute r = 14 to y, which gives y = 57.\n\nThus, the final answer is y = \\boxed{57}.",
"index": 22658,
"question": "Suppose a collection of variables is related by the following definitions: u = e + 7; y = c + 4; j = r + 12; a = h + 7; d = j + 13; z = a + 16; o = l + 10; c = u + 3; h = o + 19; e = d + 4; r = 14; s = r + 10; l = s + 3. Given that r = 14, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"a": "r + 9", "i": "a + 20", "y": "i + 17", "u": "y + 1", "o": "u + 20", "n": "o + 15", "z": "r + 12", "t": "z + 15", "e": "t + 15", "k": "e + 3", "q": "k + 5", "c": "q + 18", "r": 3}, "premises": {"r": 3}, "target": "n"}, "answer": {"steps": [["o", "u + 20", "u + 35"], ["u", "y + 1", "y + 36"], ["y", "i + 17", "i + 53"], ["i", "a + 20", "a + 73"], ["a", "r + 9", "r + 82"], ["r", 3, "85"]], "target_var_name": "n", "target_value": 85, "value_dict": {"r": 3}, "is_reverse": true}}
| 22,659
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = e + 3; u = y + 1; o = u + 20; c = q + 18; a = r + 9; e = t + 15; t = z + 15; q = k + 5; y = i + 17; n = o + 15; z = r + 12; i = a + 20; r = 3. If r = 3, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = u + 20 to n, which gives n = u + 35.\n2. Substitute u = y + 1 to n, which gives n = y + 36.\n3. Substitute y = i + 17 to n, which gives n = i + 53.\n4. Substitute i = a + 20 to n, which gives n = a + 73.\n5. Substitute a = r + 9 to n, which gives n = r + 82.\n6. Substitute r = 3 to n, which gives n = 85.\n\nThus, the final answer is n = \\boxed{85}.",
"index": 22659,
"question": "Consider a system of variables where each variable is defined as follows: k = e + 3; u = y + 1; o = u + 20; c = q + 18; a = r + 9; e = t + 15; t = z + 15; q = k + 5; y = i + 17; n = o + 15; z = r + 12; i = a + 20; r = 3. If r = 3, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"z": "w + 15", "t": "z + 15", "h": "t + 6", "d": "h + 17", "o": "d + 2", "m": "o + 6", "f": "w + 8", "p": "f + 16", "j": "p + 12", "a": "j + 8", "n": "a + 6", "q": "n + 12", "w": 6}, "premises": {"w": 6}, "target": "m"}, "answer": {"steps": [["o", "d + 2", "d + 8"], ["d", "h + 17", "h + 25"], ["h", "t + 6", "t + 31"], ["t", "z + 15", "z + 46"], ["z", "w + 15", "w + 61"], ["w", 6, "67"]], "target_var_name": "m", "target_value": 67, "value_dict": {"w": 6}, "is_reverse": true}}
| 22,660
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = f + 16; h = t + 6; m = o + 6; f = w + 8; n = a + 6; z = w + 15; d = h + 17; q = n + 12; w = 6; o = d + 2; t = z + 15; j = p + 12; a = j + 8. Given that w = 6, 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 o = d + 2 to m, which gives m = d + 8.\n2. Substitute d = h + 17 to m, which gives m = h + 25.\n3. Substitute h = t + 6 to m, which gives m = t + 31.\n4. Substitute t = z + 15 to m, which gives m = z + 46.\n5. Substitute z = w + 15 to m, which gives m = w + 61.\n6. Substitute w = 6 to m, which gives m = 67.\n\nThus, the final answer is m = \\boxed{67}.",
"index": 22660,
"question": "Suppose a collection of variables is related by the following definitions: p = f + 16; h = t + 6; m = o + 6; f = w + 8; n = a + 6; z = w + 15; d = h + 17; q = n + 12; w = 6; o = d + 2; t = z + 15; j = p + 12; a = j + 8. Given that w = 6, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"v": "z + 5", "d": "v + 16", "y": "d + 17", "j": "y + 11", "p": "j + 12", "c": "p + 11", "m": "z + 9", "s": "m + 12", "o": "s + 3", "h": "o + 18", "b": "h + 7", "l": "b + 2", "z": 16}, "premises": {"z": 16}, "target": "c"}, "answer": {"steps": [["p", "j + 12", "j + 23"], ["j", "y + 11", "y + 34"], ["y", "d + 17", "d + 51"], ["d", "v + 16", "v + 67"], ["v", "z + 5", "z + 72"], ["z", 16, "88"]], "target_var_name": "c", "target_value": 88, "value_dict": {"z": 16}, "is_reverse": true}}
| 22,661
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = s + 3; j = y + 11; d = v + 16; b = h + 7; m = z + 9; v = z + 5; c = p + 11; h = o + 18; l = b + 2; y = d + 17; s = m + 12; p = j + 12; z = 16. Given that z = 16, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = j + 12 to c, which gives c = j + 23.\n2. Substitute j = y + 11 to c, which gives c = y + 34.\n3. Substitute y = d + 17 to c, which gives c = d + 51.\n4. Substitute d = v + 16 to c, which gives c = v + 67.\n5. Substitute v = z + 5 to c, which gives c = z + 72.\n6. Substitute z = 16 to c, which gives c = 88.\n\nThus, the final answer is c = \\boxed{88}.",
"index": 22661,
"question": "Suppose a collection of variables is related by the following definitions: o = s + 3; j = y + 11; d = v + 16; b = h + 7; m = z + 9; v = z + 5; c = p + 11; h = o + 18; l = b + 2; y = d + 17; s = m + 12; p = j + 12; z = 16. Given that z = 16, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"x": "s + 2", "h": "x + 5", "l": "h + 9", "f": "l + 18", "j": "f + 7", "v": "j + 8", "c": "s + 10", "z": "c + 8", "m": "z + 18", "w": "m + 11", "q": "w + 5", "a": "q + 9", "s": 3}, "premises": {"s": 3}, "target": "v"}, "answer": {"steps": [["j", "f + 7", "f + 15"], ["f", "l + 18", "l + 33"], ["l", "h + 9", "h + 42"], ["h", "x + 5", "x + 47"], ["x", "s + 2", "s + 49"], ["s", 3, "52"]], "target_var_name": "v", "target_value": 52, "value_dict": {"s": 3}, "is_reverse": true}}
| 22,662
| 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 = s + 2; z = c + 8; h = x + 5; v = j + 8; f = l + 18; m = z + 18; q = w + 5; l = h + 9; j = f + 7; w = m + 11; a = q + 9; s = 3; c = s + 10. If s = 3, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 52,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = f + 7 to v, which gives v = f + 15.\n2. Substitute f = l + 18 to v, which gives v = l + 33.\n3. Substitute l = h + 9 to v, which gives v = h + 42.\n4. Substitute h = x + 5 to v, which gives v = x + 47.\n5. Substitute x = s + 2 to v, which gives v = s + 49.\n6. Substitute s = 3 to v, which gives v = 52.\n\nThus, the final answer is v = \\boxed{52}.",
"index": 22662,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = s + 2; z = c + 8; h = x + 5; v = j + 8; f = l + 18; m = z + 18; q = w + 5; l = h + 9; j = f + 7; w = m + 11; a = q + 9; s = 3; c = s + 10. If s = 3, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"p": "s + 18", "f": "p + 9", "w": "f + 1", "r": "w + 20", "l": "r + 18", "j": "l + 14", "y": "s + 3", "i": "y + 17", "k": "i + 19", "n": "k + 14", "x": "n + 17", "b": "x + 18", "s": 2}, "premises": {"s": 2}, "target": "j"}, "answer": {"steps": [["l", "r + 18", "r + 32"], ["r", "w + 20", "w + 52"], ["w", "f + 1", "f + 53"], ["f", "p + 9", "p + 62"], ["p", "s + 18", "s + 80"], ["s", 2, "82"]], "target_var_name": "j", "target_value": 82, "value_dict": {"s": 2}, "is_reverse": true}}
| 22,663
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = r + 18; j = l + 14; k = i + 19; p = s + 18; s = 2; n = k + 14; r = w + 20; y = s + 3; b = x + 18; w = f + 1; x = n + 17; i = y + 17; f = p + 9. Given that s = 2, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = r + 18 to j, which gives j = r + 32.\n2. Substitute r = w + 20 to j, which gives j = w + 52.\n3. Substitute w = f + 1 to j, which gives j = f + 53.\n4. Substitute f = p + 9 to j, which gives j = p + 62.\n5. Substitute p = s + 18 to j, which gives j = s + 80.\n6. Substitute s = 2 to j, which gives j = 82.\n\nThus, the final answer is j = \\boxed{82}.",
"index": 22663,
"question": "Suppose a collection of variables is related by the following definitions: l = r + 18; j = l + 14; k = i + 19; p = s + 18; s = 2; n = k + 14; r = w + 20; y = s + 3; b = x + 18; w = f + 1; x = n + 17; i = y + 17; f = p + 9. Given that s = 2, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"x": "s + 17", "d": "x + 16", "e": "d + 15", "f": "e + 2", "r": "f + 16", "h": "r + 3", "m": "s + 2", "i": "m + 9", "c": "i + 19", "q": "c + 4", "k": "q + 6", "a": "k + 17", "s": 17}, "premises": {"s": 17}, "target": "h"}, "answer": {"steps": [["r", "f + 16", "f + 19"], ["f", "e + 2", "e + 21"], ["e", "d + 15", "d + 36"], ["d", "x + 16", "x + 52"], ["x", "s + 17", "s + 69"], ["s", 17, "86"]], "target_var_name": "h", "target_value": 86, "value_dict": {"s": 17}, "is_reverse": true}}
| 22,664
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = s + 17; e = d + 15; k = q + 6; c = i + 19; d = x + 16; q = c + 4; r = f + 16; i = m + 9; s = 17; h = r + 3; m = s + 2; a = k + 17; f = e + 2. If s = 17, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = f + 16 to h, which gives h = f + 19.\n2. Substitute f = e + 2 to h, which gives h = e + 21.\n3. Substitute e = d + 15 to h, which gives h = d + 36.\n4. Substitute d = x + 16 to h, which gives h = x + 52.\n5. Substitute x = s + 17 to h, which gives h = s + 69.\n6. Substitute s = 17 to h, which gives h = 86.\n\nThus, the final answer is h = \\boxed{86}.",
"index": 22664,
"question": "Consider a system of variables where each variable is defined as follows: x = s + 17; e = d + 15; k = q + 6; c = i + 19; d = x + 16; q = c + 4; r = f + 16; i = m + 9; s = 17; h = r + 3; m = s + 2; a = k + 17; f = e + 2. If s = 17, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"p": "e + 13", "w": "p + 5", "c": "w + 13", "t": "c + 20", "u": "t + 5", "n": "u + 19", "k": "e + 3", "g": "k + 6", "r": "g + 7", "q": "r + 13", "b": "q + 11", "o": "b + 15", "e": 7}, "premises": {"e": 7}, "target": "n"}, "answer": {"steps": [["u", "t + 5", "t + 24"], ["t", "c + 20", "c + 44"], ["c", "w + 13", "w + 57"], ["w", "p + 5", "p + 62"], ["p", "e + 13", "e + 75"], ["e", 7, "82"]], "target_var_name": "n", "target_value": 82, "value_dict": {"e": 7}, "is_reverse": true}}
| 22,665
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = u + 19; k = e + 3; b = q + 11; r = g + 7; q = r + 13; w = p + 5; e = 7; c = w + 13; u = t + 5; p = e + 13; o = b + 15; t = c + 20; g = k + 6. If e = 7, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = t + 5 to n, which gives n = t + 24.\n2. Substitute t = c + 20 to n, which gives n = c + 44.\n3. Substitute c = w + 13 to n, which gives n = w + 57.\n4. Substitute w = p + 5 to n, which gives n = p + 62.\n5. Substitute p = e + 13 to n, which gives n = e + 75.\n6. Substitute e = 7 to n, which gives n = 82.\n\nThus, the final answer is n = \\boxed{82}.",
"index": 22665,
"question": "Consider a system of variables where each variable is defined as follows: n = u + 19; k = e + 3; b = q + 11; r = g + 7; q = r + 13; w = p + 5; e = 7; c = w + 13; u = t + 5; p = e + 13; o = b + 15; t = c + 20; g = k + 6. If e = 7, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"v": "l + 9", "z": "v + 18", "q": "z + 3", "m": "q + 8", "c": "m + 7", "k": "c + 13", "h": "l + 8", "f": "h + 6", "a": "f + 9", "n": "a + 4", "o": "n + 17", "x": "o + 4", "l": 19}, "premises": {"l": 19}, "target": "k"}, "answer": {"steps": [["c", "m + 7", "m + 20"], ["m", "q + 8", "q + 28"], ["q", "z + 3", "z + 31"], ["z", "v + 18", "v + 49"], ["v", "l + 9", "l + 58"], ["l", 19, "77"]], "target_var_name": "k", "target_value": 77, "value_dict": {"l": 19}, "is_reverse": true}}
| 22,666
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = n + 17; f = h + 6; v = l + 9; n = a + 4; h = l + 8; k = c + 13; a = f + 9; m = q + 8; q = z + 3; z = v + 18; l = 19; c = m + 7; x = o + 4. If l = 19, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = m + 7 to k, which gives k = m + 20.\n2. Substitute m = q + 8 to k, which gives k = q + 28.\n3. Substitute q = z + 3 to k, which gives k = z + 31.\n4. Substitute z = v + 18 to k, which gives k = v + 49.\n5. Substitute v = l + 9 to k, which gives k = l + 58.\n6. Substitute l = 19 to k, which gives k = 77.\n\nThus, the final answer is k = \\boxed{77}.",
"index": 22666,
"question": "Consider a system of variables where each variable is defined as follows: o = n + 17; f = h + 6; v = l + 9; n = a + 4; h = l + 8; k = c + 13; a = f + 9; m = q + 8; q = z + 3; z = v + 18; l = 19; c = m + 7; x = o + 4. If l = 19, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"s": "q + 14", "e": "s + 2", "d": "e + 18", "t": "d + 18", "o": "t + 11", "c": "o + 9", "w": "q + 8", "p": "w + 1", "z": "p + 11", "l": "z + 8", "v": "l + 11", "u": "v + 20", "q": 3}, "premises": {"q": 3}, "target": "c"}, "answer": {"steps": [["o", "t + 11", "t + 20"], ["t", "d + 18", "d + 38"], ["d", "e + 18", "e + 56"], ["e", "s + 2", "s + 58"], ["s", "q + 14", "q + 72"], ["q", 3, "75"]], "target_var_name": "c", "target_value": 75, "value_dict": {"q": 3}, "is_reverse": true}}
| 22,667
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = p + 11; l = z + 8; t = d + 18; s = q + 14; c = o + 9; e = s + 2; w = q + 8; d = e + 18; v = l + 11; p = w + 1; q = 3; o = t + 11; u = v + 20. Given that q = 3, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = t + 11 to c, which gives c = t + 20.\n2. Substitute t = d + 18 to c, which gives c = d + 38.\n3. Substitute d = e + 18 to c, which gives c = e + 56.\n4. Substitute e = s + 2 to c, which gives c = s + 58.\n5. Substitute s = q + 14 to c, which gives c = q + 72.\n6. Substitute q = 3 to c, which gives c = 75.\n\nThus, the final answer is c = \\boxed{75}.",
"index": 22667,
"question": "Suppose a collection of variables is related by the following definitions: z = p + 11; l = z + 8; t = d + 18; s = q + 14; c = o + 9; e = s + 2; w = q + 8; d = e + 18; v = l + 11; p = w + 1; q = 3; o = t + 11; u = v + 20. Given that q = 3, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"d": "i + 19", "n": "d + 1", "o": "n + 14", "e": "o + 13", "z": "e + 7", "w": "z + 15", "b": "i + 17", "r": "b + 8", "l": "r + 6", "s": "l + 11", "t": "s + 5", "c": "t + 1", "i": 6}, "premises": {"i": 6}, "target": "w"}, "answer": {"steps": [["z", "e + 7", "e + 22"], ["e", "o + 13", "o + 35"], ["o", "n + 14", "n + 49"], ["n", "d + 1", "d + 50"], ["d", "i + 19", "i + 69"], ["i", 6, "75"]], "target_var_name": "w", "target_value": 75, "value_dict": {"i": 6}, "is_reverse": true}}
| 22,668
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = 6; n = d + 1; e = o + 13; d = i + 19; l = r + 6; s = l + 11; c = t + 1; t = s + 5; r = b + 8; w = z + 15; o = n + 14; b = i + 17; z = e + 7. If i = 6, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = e + 7 to w, which gives w = e + 22.\n2. Substitute e = o + 13 to w, which gives w = o + 35.\n3. Substitute o = n + 14 to w, which gives w = n + 49.\n4. Substitute n = d + 1 to w, which gives w = d + 50.\n5. Substitute d = i + 19 to w, which gives w = i + 69.\n6. Substitute i = 6 to w, which gives w = 75.\n\nThus, the final answer is w = \\boxed{75}.",
"index": 22668,
"question": "Consider a system of variables where each variable is defined as follows: i = 6; n = d + 1; e = o + 13; d = i + 19; l = r + 6; s = l + 11; c = t + 1; t = s + 5; r = b + 8; w = z + 15; o = n + 14; b = i + 17; z = e + 7. If i = 6, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"v": "i + 6", "k": "v + 11", "s": "k + 15", "j": "s + 12", "e": "j + 13", "w": "e + 7", "u": "i + 10", "q": "u + 7", "t": "q + 1", "a": "t + 20", "c": "a + 3", "f": "c + 5", "i": 16}, "premises": {"i": 16}, "target": "w"}, "answer": {"steps": [["e", "j + 13", "j + 20"], ["j", "s + 12", "s + 32"], ["s", "k + 15", "k + 47"], ["k", "v + 11", "v + 58"], ["v", "i + 6", "i + 64"], ["i", 16, "80"]], "target_var_name": "w", "target_value": 80, "value_dict": {"i": 16}, "is_reverse": true}}
| 22,669
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = k + 15; i = 16; v = i + 6; a = t + 20; u = i + 10; q = u + 7; t = q + 1; e = j + 13; w = e + 7; j = s + 12; k = v + 11; c = a + 3; f = c + 5. If i = 16, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = j + 13 to w, which gives w = j + 20.\n2. Substitute j = s + 12 to w, which gives w = s + 32.\n3. Substitute s = k + 15 to w, which gives w = k + 47.\n4. Substitute k = v + 11 to w, which gives w = v + 58.\n5. Substitute v = i + 6 to w, which gives w = i + 64.\n6. Substitute i = 16 to w, which gives w = 80.\n\nThus, the final answer is w = \\boxed{80}.",
"index": 22669,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = k + 15; i = 16; v = i + 6; a = t + 20; u = i + 10; q = u + 7; t = q + 1; e = j + 13; w = e + 7; j = s + 12; k = v + 11; c = a + 3; f = c + 5. If i = 16, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"h": "n + 17", "x": "h + 19", "j": "x + 20", "i": "j + 1", "b": "i + 20", "l": "b + 17", "s": "n + 2", "o": "s + 10", "k": "o + 17", "f": "k + 1", "m": "f + 2", "v": "m + 19", "n": 13}, "premises": {"n": 13}, "target": "l"}, "answer": {"steps": [["b", "i + 20", "i + 37"], ["i", "j + 1", "j + 38"], ["j", "x + 20", "x + 58"], ["x", "h + 19", "h + 77"], ["h", "n + 17", "n + 94"], ["n", 13, "107"]], "target_var_name": "l", "target_value": 107, "value_dict": {"n": 13}, "is_reverse": true}}
| 22,670
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = s + 10; j = x + 20; i = j + 1; s = n + 2; x = h + 19; v = m + 19; m = f + 2; b = i + 20; l = b + 17; n = 13; h = n + 17; f = k + 1; k = o + 17. If n = 13, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 107,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = i + 20 to l, which gives l = i + 37.\n2. Substitute i = j + 1 to l, which gives l = j + 38.\n3. Substitute j = x + 20 to l, which gives l = x + 58.\n4. Substitute x = h + 19 to l, which gives l = h + 77.\n5. Substitute h = n + 17 to l, which gives l = n + 94.\n6. Substitute n = 13 to l, which gives l = 107.\n\nThus, the final answer is l = \\boxed{107}.",
"index": 22670,
"question": "Consider a system of variables where each variable is defined as follows: o = s + 10; j = x + 20; i = j + 1; s = n + 2; x = h + 19; v = m + 19; m = f + 2; b = i + 20; l = b + 17; n = 13; h = n + 17; f = k + 1; k = o + 17. If n = 13, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"c": "i + 1", "f": "c + 20", "j": "f + 10", "o": "j + 18", "g": "o + 4", "x": "g + 4", "t": "i + 17", "a": "t + 20", "q": "a + 17", "l": "q + 7", "h": "l + 14", "r": "h + 12", "i": 17}, "premises": {"i": 17}, "target": "x"}, "answer": {"steps": [["g", "o + 4", "o + 8"], ["o", "j + 18", "j + 26"], ["j", "f + 10", "f + 36"], ["f", "c + 20", "c + 56"], ["c", "i + 1", "i + 57"], ["i", 17, "74"]], "target_var_name": "x", "target_value": 74, "value_dict": {"i": 17}, "is_reverse": true}}
| 22,671
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = i + 1; l = q + 7; i = 17; o = j + 18; g = o + 4; h = l + 14; a = t + 20; r = h + 12; t = i + 17; q = a + 17; j = f + 10; x = g + 4; f = c + 20. Given that i = 17, find the 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 g = o + 4 to x, which gives x = o + 8.\n2. Substitute o = j + 18 to x, which gives x = j + 26.\n3. Substitute j = f + 10 to x, which gives x = f + 36.\n4. Substitute f = c + 20 to x, which gives x = c + 56.\n5. Substitute c = i + 1 to x, which gives x = i + 57.\n6. Substitute i = 17 to x, which gives x = 74.\n\nThus, the final answer is x = \\boxed{74}.",
"index": 22671,
"question": "Suppose a collection of variables is related by the following definitions: c = i + 1; l = q + 7; i = 17; o = j + 18; g = o + 4; h = l + 14; a = t + 20; r = h + 12; t = i + 17; q = a + 17; j = f + 10; x = g + 4; f = c + 20. Given that i = 17, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"r": "p + 11", "q": "r + 7", "o": "q + 6", "j": "o + 15", "a": "j + 16", "z": "a + 6", "g": "p + 20", "x": "g + 16", "l": "x + 7", "e": "l + 5", "h": "e + 5", "w": "h + 14", "p": 6}, "premises": {"p": 6}, "target": "z"}, "answer": {"steps": [["a", "j + 16", "j + 22"], ["j", "o + 15", "o + 37"], ["o", "q + 6", "q + 43"], ["q", "r + 7", "r + 50"], ["r", "p + 11", "p + 61"], ["p", 6, "67"]], "target_var_name": "z", "target_value": 67, "value_dict": {"p": 6}, "is_reverse": true}}
| 22,672
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = 6; g = p + 20; l = x + 7; a = j + 16; q = r + 7; e = l + 5; z = a + 6; x = g + 16; h = e + 5; j = o + 15; o = q + 6; r = p + 11; w = h + 14. If p = 6, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = j + 16 to z, which gives z = j + 22.\n2. Substitute j = o + 15 to z, which gives z = o + 37.\n3. Substitute o = q + 6 to z, which gives z = q + 43.\n4. Substitute q = r + 7 to z, which gives z = r + 50.\n5. Substitute r = p + 11 to z, which gives z = p + 61.\n6. Substitute p = 6 to z, which gives z = 67.\n\nThus, the final answer is z = \\boxed{67}.",
"index": 22672,
"question": "Consider a system of variables where each variable is defined as follows: p = 6; g = p + 20; l = x + 7; a = j + 16; q = r + 7; e = l + 5; z = a + 6; x = g + 16; h = e + 5; j = o + 15; o = q + 6; r = p + 11; w = h + 14. If p = 6, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"j": "o + 13", "t": "j + 3", "i": "t + 6", "l": "i + 1", "n": "l + 7", "s": "n + 4", "b": "o + 9", "r": "b + 12", "e": "r + 13", "m": "e + 18", "z": "m + 18", "q": "z + 15", "o": 11}, "premises": {"o": 11}, "target": "s"}, "answer": {"steps": [["n", "l + 7", "l + 11"], ["l", "i + 1", "i + 12"], ["i", "t + 6", "t + 18"], ["t", "j + 3", "j + 21"], ["j", "o + 13", "o + 34"], ["o", 11, "45"]], "target_var_name": "s", "target_value": 45, "value_dict": {"o": 11}, "is_reverse": true}}
| 22,673
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = n + 4; t = j + 3; q = z + 15; i = t + 6; o = 11; j = o + 13; r = b + 12; z = m + 18; m = e + 18; b = o + 9; l = i + 1; e = r + 13; n = l + 7. If o = 11, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 45,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = l + 7 to s, which gives s = l + 11.\n2. Substitute l = i + 1 to s, which gives s = i + 12.\n3. Substitute i = t + 6 to s, which gives s = t + 18.\n4. Substitute t = j + 3 to s, which gives s = j + 21.\n5. Substitute j = o + 13 to s, which gives s = o + 34.\n6. Substitute o = 11 to s, which gives s = 45.\n\nThus, the final answer is s = \\boxed{45}.",
"index": 22673,
"question": "Consider a system of variables where each variable is defined as follows: s = n + 4; t = j + 3; q = z + 15; i = t + 6; o = 11; j = o + 13; r = b + 12; z = m + 18; m = e + 18; b = o + 9; l = i + 1; e = r + 13; n = l + 7. If o = 11, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"t": "z + 8", "u": "t + 19", "k": "u + 17", "x": "k + 5", "h": "x + 6", "f": "h + 16", "s": "z + 9", "b": "s + 13", "d": "b + 17", "i": "d + 4", "r": "i + 11", "y": "r + 17", "z": 18}, "premises": {"z": 18}, "target": "f"}, "answer": {"steps": [["h", "x + 6", "x + 22"], ["x", "k + 5", "k + 27"], ["k", "u + 17", "u + 44"], ["u", "t + 19", "t + 63"], ["t", "z + 8", "z + 71"], ["z", 18, "89"]], "target_var_name": "f", "target_value": 89, "value_dict": {"z": 18}, "is_reverse": true}}
| 22,674
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = z + 9; f = h + 16; z = 18; x = k + 5; t = z + 8; k = u + 17; b = s + 13; d = b + 17; i = d + 4; y = r + 17; u = t + 19; h = x + 6; r = i + 11. Given that z = 18, find the 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 h = x + 6 to f, which gives f = x + 22.\n2. Substitute x = k + 5 to f, which gives f = k + 27.\n3. Substitute k = u + 17 to f, which gives f = u + 44.\n4. Substitute u = t + 19 to f, which gives f = t + 63.\n5. Substitute t = z + 8 to f, which gives f = z + 71.\n6. Substitute z = 18 to f, which gives f = 89.\n\nThus, the final answer is f = \\boxed{89}.",
"index": 22674,
"question": "Suppose a collection of variables is related by the following definitions: s = z + 9; f = h + 16; z = 18; x = k + 5; t = z + 8; k = u + 17; b = s + 13; d = b + 17; i = d + 4; y = r + 17; u = t + 19; h = x + 6; r = i + 11. Given that z = 18, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"r": "c + 10", "e": "r + 18", "q": "e + 10", "o": "q + 15", "u": "o + 12", "a": "u + 1", "j": "c + 15", "x": "j + 2", "h": "x + 13", "w": "h + 5", "i": "w + 19", "z": "i + 17", "c": 15}, "premises": {"c": 15}, "target": "a"}, "answer": {"steps": [["u", "o + 12", "o + 13"], ["o", "q + 15", "q + 28"], ["q", "e + 10", "e + 38"], ["e", "r + 18", "r + 56"], ["r", "c + 10", "c + 66"], ["c", 15, "81"]], "target_var_name": "a", "target_value": 81, "value_dict": {"c": 15}, "is_reverse": true}}
| 22,675
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = u + 1; e = r + 18; i = w + 19; w = h + 5; j = c + 15; h = x + 13; q = e + 10; o = q + 15; r = c + 10; c = 15; z = i + 17; u = o + 12; x = j + 2. Given that c = 15, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = o + 12 to a, which gives a = o + 13.\n2. Substitute o = q + 15 to a, which gives a = q + 28.\n3. Substitute q = e + 10 to a, which gives a = e + 38.\n4. Substitute e = r + 18 to a, which gives a = r + 56.\n5. Substitute r = c + 10 to a, which gives a = c + 66.\n6. Substitute c = 15 to a, which gives a = 81.\n\nThus, the final answer is a = \\boxed{81}.",
"index": 22675,
"question": "Suppose a collection of variables is related by the following definitions: a = u + 1; e = r + 18; i = w + 19; w = h + 5; j = c + 15; h = x + 13; q = e + 10; o = q + 15; r = c + 10; c = 15; z = i + 17; u = o + 12; x = j + 2. Given that c = 15, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"s": "t + 14", "n": "s + 15", "r": "n + 15", "c": "r + 8", "g": "c + 19", "x": "g + 4", "y": "t + 10", "q": "y + 16", "l": "q + 10", "h": "l + 6", "w": "h + 2", "m": "w + 3", "t": 5}, "premises": {"t": 5}, "target": "x"}, "answer": {"steps": [["g", "c + 19", "c + 23"], ["c", "r + 8", "r + 31"], ["r", "n + 15", "n + 46"], ["n", "s + 15", "s + 61"], ["s", "t + 14", "t + 75"], ["t", 5, "80"]], "target_var_name": "x", "target_value": 80, "value_dict": {"t": 5}, "is_reverse": true}}
| 22,676
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = w + 3; l = q + 10; x = g + 4; r = n + 15; s = t + 14; n = s + 15; c = r + 8; w = h + 2; y = t + 10; q = y + 16; h = l + 6; g = c + 19; t = 5. If t = 5, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = c + 19 to x, which gives x = c + 23.\n2. Substitute c = r + 8 to x, which gives x = r + 31.\n3. Substitute r = n + 15 to x, which gives x = n + 46.\n4. Substitute n = s + 15 to x, which gives x = s + 61.\n5. Substitute s = t + 14 to x, which gives x = t + 75.\n6. Substitute t = 5 to x, which gives x = 80.\n\nThus, the final answer is x = \\boxed{80}.",
"index": 22676,
"question": "Consider a system of variables where each variable is defined as follows: m = w + 3; l = q + 10; x = g + 4; r = n + 15; s = t + 14; n = s + 15; c = r + 8; w = h + 2; y = t + 10; q = y + 16; h = l + 6; g = c + 19; t = 5. If t = 5, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"l": "n + 16", "a": "l + 4", "p": "a + 9", "c": "p + 9", "u": "c + 1", "g": "u + 1", "o": "n + 12", "r": "o + 9", "b": "r + 18", "s": "b + 12", "m": "s + 4", "v": "m + 8", "n": 2}, "premises": {"n": 2}, "target": "g"}, "answer": {"steps": [["u", "c + 1", "c + 2"], ["c", "p + 9", "p + 11"], ["p", "a + 9", "a + 20"], ["a", "l + 4", "l + 24"], ["l", "n + 16", "n + 40"], ["n", 2, "42"]], "target_var_name": "g", "target_value": 42, "value_dict": {"n": 2}, "is_reverse": true}}
| 22,677
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = m + 8; r = o + 9; b = r + 18; m = s + 4; c = p + 9; u = c + 1; n = 2; l = n + 16; s = b + 12; a = l + 4; p = a + 9; o = n + 12; g = u + 1. Given that n = 2, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 42,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = c + 1 to g, which gives g = c + 2.\n2. Substitute c = p + 9 to g, which gives g = p + 11.\n3. Substitute p = a + 9 to g, which gives g = a + 20.\n4. Substitute a = l + 4 to g, which gives g = l + 24.\n5. Substitute l = n + 16 to g, which gives g = n + 40.\n6. Substitute n = 2 to g, which gives g = 42.\n\nThus, the final answer is g = \\boxed{42}.",
"index": 22677,
"question": "Suppose a collection of variables is related by the following definitions: v = m + 8; r = o + 9; b = r + 18; m = s + 4; c = p + 9; u = c + 1; n = 2; l = n + 16; s = b + 12; a = l + 4; p = a + 9; o = n + 12; g = u + 1. Given that n = 2, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"i": "e + 7", "v": "i + 12", "g": "v + 12", "m": "g + 3", "s": "m + 7", "f": "s + 12", "l": "e + 20", "u": "l + 20", "w": "u + 10", "d": "w + 15", "q": "d + 7", "b": "q + 5", "e": 5}, "premises": {"e": 5}, "target": "f"}, "answer": {"steps": [["s", "m + 7", "m + 19"], ["m", "g + 3", "g + 22"], ["g", "v + 12", "v + 34"], ["v", "i + 12", "i + 46"], ["i", "e + 7", "e + 53"], ["e", 5, "58"]], "target_var_name": "f", "target_value": 58, "value_dict": {"e": 5}, "is_reverse": true}}
| 22,678
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = e + 20; q = d + 7; v = i + 12; i = e + 7; d = w + 15; e = 5; u = l + 20; b = q + 5; f = s + 12; g = v + 12; s = m + 7; m = g + 3; w = u + 10. If e = 5, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = m + 7 to f, which gives f = m + 19.\n2. Substitute m = g + 3 to f, which gives f = g + 22.\n3. Substitute g = v + 12 to f, which gives f = v + 34.\n4. Substitute v = i + 12 to f, which gives f = i + 46.\n5. Substitute i = e + 7 to f, which gives f = e + 53.\n6. Substitute e = 5 to f, which gives f = 58.\n\nThus, the final answer is f = \\boxed{58}.",
"index": 22678,
"question": "Consider a system of variables where each variable is defined as follows: l = e + 20; q = d + 7; v = i + 12; i = e + 7; d = w + 15; e = 5; u = l + 20; b = q + 5; f = s + 12; g = v + 12; s = m + 7; m = g + 3; w = u + 10. If e = 5, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"q": "s + 12", "z": "q + 15", "l": "z + 16", "d": "l + 13", "y": "d + 13", "m": "y + 13", "f": "s + 11", "t": "f + 2", "j": "t + 14", "b": "j + 3", "x": "b + 10", "h": "x + 1", "s": 3}, "premises": {"s": 3}, "target": "m"}, "answer": {"steps": [["y", "d + 13", "d + 26"], ["d", "l + 13", "l + 39"], ["l", "z + 16", "z + 55"], ["z", "q + 15", "q + 70"], ["q", "s + 12", "s + 82"], ["s", 3, "85"]], "target_var_name": "m", "target_value": 85, "value_dict": {"s": 3}, "is_reverse": true}}
| 22,679
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = y + 13; b = j + 3; j = t + 14; s = 3; h = x + 1; d = l + 13; t = f + 2; x = b + 10; l = z + 16; q = s + 12; f = s + 11; y = d + 13; z = q + 15. If s = 3, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = d + 13 to m, which gives m = d + 26.\n2. Substitute d = l + 13 to m, which gives m = l + 39.\n3. Substitute l = z + 16 to m, which gives m = z + 55.\n4. Substitute z = q + 15 to m, which gives m = q + 70.\n5. Substitute q = s + 12 to m, which gives m = s + 82.\n6. Substitute s = 3 to m, which gives m = 85.\n\nThus, the final answer is m = \\boxed{85}.",
"index": 22679,
"question": "Consider a system of variables where each variable is defined as follows: m = y + 13; b = j + 3; j = t + 14; s = 3; h = x + 1; d = l + 13; t = f + 2; x = b + 10; l = z + 16; q = s + 12; f = s + 11; y = d + 13; z = q + 15. If s = 3, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"i": "x + 5", "h": "i + 5", "e": "h + 18", "d": "e + 20", "k": "d + 18", "g": "k + 5", "c": "x + 11", "a": "c + 15", "o": "a + 5", "t": "o + 12", "z": "t + 13", "y": "z + 15", "x": 20}, "premises": {"x": 20}, "target": "g"}, "answer": {"steps": [["k", "d + 18", "d + 23"], ["d", "e + 20", "e + 43"], ["e", "h + 18", "h + 61"], ["h", "i + 5", "i + 66"], ["i", "x + 5", "x + 71"], ["x", 20, "91"]], "target_var_name": "g", "target_value": 91, "value_dict": {"x": 20}, "is_reverse": true}}
| 22,680
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = 20; a = c + 15; c = x + 11; i = x + 5; g = k + 5; k = d + 18; d = e + 20; o = a + 5; h = i + 5; t = o + 12; z = t + 13; y = z + 15; e = h + 18. If x = 20, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = d + 18 to g, which gives g = d + 23.\n2. Substitute d = e + 20 to g, which gives g = e + 43.\n3. Substitute e = h + 18 to g, which gives g = h + 61.\n4. Substitute h = i + 5 to g, which gives g = i + 66.\n5. Substitute i = x + 5 to g, which gives g = x + 71.\n6. Substitute x = 20 to g, which gives g = 91.\n\nThus, the final answer is g = \\boxed{91}.",
"index": 22680,
"question": "Consider a system of variables where each variable is defined as follows: x = 20; a = c + 15; c = x + 11; i = x + 5; g = k + 5; k = d + 18; d = e + 20; o = a + 5; h = i + 5; t = o + 12; z = t + 13; y = z + 15; e = h + 18. If x = 20, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"f": "l + 3", "e": "f + 10", "j": "e + 17", "g": "j + 7", "m": "g + 16", "k": "m + 13", "h": "l + 17", "n": "h + 17", "a": "n + 7", "b": "a + 12", "d": "b + 15", "u": "d + 1", "l": 10}, "premises": {"l": 10}, "target": "k"}, "answer": {"steps": [["m", "g + 16", "g + 29"], ["g", "j + 7", "j + 36"], ["j", "e + 17", "e + 53"], ["e", "f + 10", "f + 63"], ["f", "l + 3", "l + 66"], ["l", 10, "76"]], "target_var_name": "k", "target_value": 76, "value_dict": {"l": 10}, "is_reverse": true}}
| 22,681
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = h + 17; d = b + 15; e = f + 10; u = d + 1; b = a + 12; l = 10; j = e + 17; k = m + 13; h = l + 17; m = g + 16; g = j + 7; a = n + 7; f = l + 3. If l = 10, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = g + 16 to k, which gives k = g + 29.\n2. Substitute g = j + 7 to k, which gives k = j + 36.\n3. Substitute j = e + 17 to k, which gives k = e + 53.\n4. Substitute e = f + 10 to k, which gives k = f + 63.\n5. Substitute f = l + 3 to k, which gives k = l + 66.\n6. Substitute l = 10 to k, which gives k = 76.\n\nThus, the final answer is k = \\boxed{76}.",
"index": 22681,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = h + 17; d = b + 15; e = f + 10; u = d + 1; b = a + 12; l = 10; j = e + 17; k = m + 13; h = l + 17; m = g + 16; g = j + 7; a = n + 7; f = l + 3. If l = 10, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"k": "y + 14", "a": "k + 16", "x": "a + 9", "n": "x + 6", "b": "n + 18", "s": "b + 8", "w": "y + 12", "t": "w + 12", "u": "t + 10", "v": "u + 16", "p": "v + 10", "o": "p + 9", "y": 5}, "premises": {"y": 5}, "target": "s"}, "answer": {"steps": [["b", "n + 18", "n + 26"], ["n", "x + 6", "x + 32"], ["x", "a + 9", "a + 41"], ["a", "k + 16", "k + 57"], ["k", "y + 14", "y + 71"], ["y", 5, "76"]], "target_var_name": "s", "target_value": 76, "value_dict": {"y": 5}, "is_reverse": true}}
| 22,682
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = p + 9; v = u + 16; u = t + 10; a = k + 16; y = 5; t = w + 12; s = b + 8; x = a + 9; w = y + 12; k = y + 14; b = n + 18; n = x + 6; p = v + 10. If y = 5, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = n + 18 to s, which gives s = n + 26.\n2. Substitute n = x + 6 to s, which gives s = x + 32.\n3. Substitute x = a + 9 to s, which gives s = a + 41.\n4. Substitute a = k + 16 to s, which gives s = k + 57.\n5. Substitute k = y + 14 to s, which gives s = y + 71.\n6. Substitute y = 5 to s, which gives s = 76.\n\nThus, the final answer is s = \\boxed{76}.",
"index": 22682,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = p + 9; v = u + 16; u = t + 10; a = k + 16; y = 5; t = w + 12; s = b + 8; x = a + 9; w = y + 12; k = y + 14; b = n + 18; n = x + 6; p = v + 10. If y = 5, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"h": "j + 6", "s": "h + 9", "e": "s + 13", "c": "e + 18", "n": "c + 12", "x": "n + 17", "v": "j + 8", "t": "v + 20", "y": "t + 10", "a": "y + 1", "l": "a + 13", "m": "l + 18", "j": 9}, "premises": {"j": 9}, "target": "x"}, "answer": {"steps": [["n", "c + 12", "c + 29"], ["c", "e + 18", "e + 47"], ["e", "s + 13", "s + 60"], ["s", "h + 9", "h + 69"], ["h", "j + 6", "j + 75"], ["j", 9, "84"]], "target_var_name": "x", "target_value": 84, "value_dict": {"j": 9}, "is_reverse": true}}
| 22,683
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = h + 9; v = j + 8; e = s + 13; y = t + 10; l = a + 13; h = j + 6; x = n + 17; t = v + 20; n = c + 12; a = y + 1; j = 9; m = l + 18; c = e + 18. If j = 9, what is the resulting 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 n = c + 12 to x, which gives x = c + 29.\n2. Substitute c = e + 18 to x, which gives x = e + 47.\n3. Substitute e = s + 13 to x, which gives x = s + 60.\n4. Substitute s = h + 9 to x, which gives x = h + 69.\n5. Substitute h = j + 6 to x, which gives x = j + 75.\n6. Substitute j = 9 to x, which gives x = 84.\n\nThus, the final answer is x = \\boxed{84}.",
"index": 22683,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = h + 9; v = j + 8; e = s + 13; y = t + 10; l = a + 13; h = j + 6; x = n + 17; t = v + 20; n = c + 12; a = y + 1; j = 9; m = l + 18; c = e + 18. If j = 9, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"r": "x + 17", "n": "r + 17", "f": "n + 8", "u": "f + 3", "d": "u + 11", "e": "d + 19", "s": "x + 10", "i": "s + 2", "w": "i + 10", "l": "w + 11", "a": "l + 11", "m": "a + 2", "x": 9}, "premises": {"x": 9}, "target": "e"}, "answer": {"steps": [["d", "u + 11", "u + 30"], ["u", "f + 3", "f + 33"], ["f", "n + 8", "n + 41"], ["n", "r + 17", "r + 58"], ["r", "x + 17", "x + 75"], ["x", 9, "84"]], "target_var_name": "e", "target_value": 84, "value_dict": {"x": 9}, "is_reverse": true}}
| 22,684
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = l + 11; r = x + 17; d = u + 11; n = r + 17; l = w + 11; m = a + 2; s = x + 10; x = 9; f = n + 8; i = s + 2; e = d + 19; u = f + 3; w = i + 10. If x = 9, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = u + 11 to e, which gives e = u + 30.\n2. Substitute u = f + 3 to e, which gives e = f + 33.\n3. Substitute f = n + 8 to e, which gives e = n + 41.\n4. Substitute n = r + 17 to e, which gives e = r + 58.\n5. Substitute r = x + 17 to e, which gives e = x + 75.\n6. Substitute x = 9 to e, which gives e = 84.\n\nThus, the final answer is e = \\boxed{84}.",
"index": 22684,
"question": "Consider a system of variables where each variable is defined as follows: a = l + 11; r = x + 17; d = u + 11; n = r + 17; l = w + 11; m = a + 2; s = x + 10; x = 9; f = n + 8; i = s + 2; e = d + 19; u = f + 3; w = i + 10. If x = 9, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"i": "d + 17", "p": "i + 9", "m": "p + 8", "x": "m + 18", "g": "x + 8", "s": "g + 12", "w": "d + 4", "e": "w + 6", "c": "e + 11", "y": "c + 13", "q": "y + 18", "f": "q + 13", "d": 10}, "premises": {"d": 10}, "target": "s"}, "answer": {"steps": [["g", "x + 8", "x + 20"], ["x", "m + 18", "m + 38"], ["m", "p + 8", "p + 46"], ["p", "i + 9", "i + 55"], ["i", "d + 17", "d + 72"], ["d", 10, "82"]], "target_var_name": "s", "target_value": 82, "value_dict": {"d": 10}, "is_reverse": true}}
| 22,685
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = i + 9; f = q + 13; s = g + 12; y = c + 13; c = e + 11; m = p + 8; g = x + 8; i = d + 17; w = d + 4; d = 10; e = w + 6; q = y + 18; x = m + 18. Given that d = 10, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = x + 8 to s, which gives s = x + 20.\n2. Substitute x = m + 18 to s, which gives s = m + 38.\n3. Substitute m = p + 8 to s, which gives s = p + 46.\n4. Substitute p = i + 9 to s, which gives s = i + 55.\n5. Substitute i = d + 17 to s, which gives s = d + 72.\n6. Substitute d = 10 to s, which gives s = 82.\n\nThus, the final answer is s = \\boxed{82}.",
"index": 22685,
"question": "Suppose a collection of variables is related by the following definitions: p = i + 9; f = q + 13; s = g + 12; y = c + 13; c = e + 11; m = p + 8; g = x + 8; i = d + 17; w = d + 4; d = 10; e = w + 6; q = y + 18; x = m + 18. Given that d = 10, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"i": "w + 17", "c": "i + 11", "n": "c + 5", "h": "n + 3", "u": "h + 19", "v": "u + 1", "l": "w + 13", "x": "l + 12", "f": "x + 5", "e": "f + 6", "j": "e + 7", "a": "j + 9", "w": 16}, "premises": {"w": 16}, "target": "v"}, "answer": {"steps": [["u", "h + 19", "h + 20"], ["h", "n + 3", "n + 23"], ["n", "c + 5", "c + 28"], ["c", "i + 11", "i + 39"], ["i", "w + 17", "w + 56"], ["w", 16, "72"]], "target_var_name": "v", "target_value": 72, "value_dict": {"w": 16}, "is_reverse": true}}
| 22,686
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = n + 3; e = f + 6; a = j + 9; n = c + 5; u = h + 19; x = l + 12; f = x + 5; j = e + 7; c = i + 11; w = 16; i = w + 17; l = w + 13; v = u + 1. If w = 16, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = h + 19 to v, which gives v = h + 20.\n2. Substitute h = n + 3 to v, which gives v = n + 23.\n3. Substitute n = c + 5 to v, which gives v = c + 28.\n4. Substitute c = i + 11 to v, which gives v = i + 39.\n5. Substitute i = w + 17 to v, which gives v = w + 56.\n6. Substitute w = 16 to v, which gives v = 72.\n\nThus, the final answer is v = \\boxed{72}.",
"index": 22686,
"question": "Consider a system of variables where each variable is defined as follows: h = n + 3; e = f + 6; a = j + 9; n = c + 5; u = h + 19; x = l + 12; f = x + 5; j = e + 7; c = i + 11; w = 16; i = w + 17; l = w + 13; v = u + 1. If w = 16, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"w": "t + 13", "y": "w + 10", "l": "y + 1", "u": "l + 19", "s": "u + 13", "f": "s + 13", "g": "t + 8", "x": "g + 15", "d": "x + 17", "a": "d + 7", "j": "a + 5", "z": "j + 17", "t": 18}, "premises": {"t": 18}, "target": "f"}, "answer": {"steps": [["s", "u + 13", "u + 26"], ["u", "l + 19", "l + 45"], ["l", "y + 1", "y + 46"], ["y", "w + 10", "w + 56"], ["w", "t + 13", "t + 69"], ["t", 18, "87"]], "target_var_name": "f", "target_value": 87, "value_dict": {"t": 18}, "is_reverse": true}}
| 22,687
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = j + 17; s = u + 13; g = t + 8; f = s + 13; t = 18; j = a + 5; x = g + 15; a = d + 7; l = y + 1; d = x + 17; w = t + 13; u = l + 19; y = w + 10. Given that t = 18, find the value of f.",
"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 + 13 to f, which gives f = u + 26.\n2. Substitute u = l + 19 to f, which gives f = l + 45.\n3. Substitute l = y + 1 to f, which gives f = y + 46.\n4. Substitute y = w + 10 to f, which gives f = w + 56.\n5. Substitute w = t + 13 to f, which gives f = t + 69.\n6. Substitute t = 18 to f, which gives f = 87.\n\nThus, the final answer is f = \\boxed{87}.",
"index": 22687,
"question": "Suppose a collection of variables is related by the following definitions: z = j + 17; s = u + 13; g = t + 8; f = s + 13; t = 18; j = a + 5; x = g + 15; a = d + 7; l = y + 1; d = x + 17; w = t + 13; u = l + 19; y = w + 10. Given that t = 18, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"l": "o + 19", "y": "l + 12", "k": "y + 1", "j": "k + 20", "t": "j + 20", "h": "t + 20", "m": "o + 9", "w": "m + 20", "s": "w + 2", "e": "s + 15", "g": "e + 15", "f": "g + 2", "o": 19}, "premises": {"o": 19}, "target": "h"}, "answer": {"steps": [["t", "j + 20", "j + 40"], ["j", "k + 20", "k + 60"], ["k", "y + 1", "y + 61"], ["y", "l + 12", "l + 73"], ["l", "o + 19", "o + 92"], ["o", 19, "111"]], "target_var_name": "h", "target_value": 111, "value_dict": {"o": 19}, "is_reverse": true}}
| 22,688
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = y + 1; t = j + 20; o = 19; l = o + 19; e = s + 15; m = o + 9; s = w + 2; j = k + 20; w = m + 20; h = t + 20; g = e + 15; y = l + 12; f = g + 2. If o = 19, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 111,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = j + 20 to h, which gives h = j + 40.\n2. Substitute j = k + 20 to h, which gives h = k + 60.\n3. Substitute k = y + 1 to h, which gives h = y + 61.\n4. Substitute y = l + 12 to h, which gives h = l + 73.\n5. Substitute l = o + 19 to h, which gives h = o + 92.\n6. Substitute o = 19 to h, which gives h = 111.\n\nThus, the final answer is h = \\boxed{111}.",
"index": 22688,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = y + 1; t = j + 20; o = 19; l = o + 19; e = s + 15; m = o + 9; s = w + 2; j = k + 20; w = m + 20; h = t + 20; g = e + 15; y = l + 12; f = g + 2. If o = 19, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"h": "e + 4", "a": "h + 6", "c": "a + 4", "l": "c + 13", "u": "l + 17", "p": "u + 1", "x": "e + 9", "s": "x + 5", "r": "s + 5", "q": "r + 4", "g": "q + 12", "t": "g + 9", "e": 2}, "premises": {"e": 2}, "target": "p"}, "answer": {"steps": [["u", "l + 17", "l + 18"], ["l", "c + 13", "c + 31"], ["c", "a + 4", "a + 35"], ["a", "h + 6", "h + 41"], ["h", "e + 4", "e + 45"], ["e", 2, "47"]], "target_var_name": "p", "target_value": 47, "value_dict": {"e": 2}, "is_reverse": true}}
| 22,689
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = u + 1; g = q + 12; u = l + 17; e = 2; h = e + 4; x = e + 9; q = r + 4; l = c + 13; t = g + 9; c = a + 4; r = s + 5; s = x + 5; a = h + 6. If e = 2, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 47,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = l + 17 to p, which gives p = l + 18.\n2. Substitute l = c + 13 to p, which gives p = c + 31.\n3. Substitute c = a + 4 to p, which gives p = a + 35.\n4. Substitute a = h + 6 to p, which gives p = h + 41.\n5. Substitute h = e + 4 to p, which gives p = e + 45.\n6. Substitute e = 2 to p, which gives p = 47.\n\nThus, the final answer is p = \\boxed{47}.",
"index": 22689,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = u + 1; g = q + 12; u = l + 17; e = 2; h = e + 4; x = e + 9; q = r + 4; l = c + 13; t = g + 9; c = a + 4; r = s + 5; s = x + 5; a = h + 6. If e = 2, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"q": "d + 20", "u": "q + 16", "v": "u + 18", "l": "v + 11", "s": "l + 15", "x": "s + 9", "i": "d + 2", "k": "i + 14", "a": "k + 2", "t": "a + 4", "r": "t + 11", "p": "r + 16", "d": 5}, "premises": {"d": 5}, "target": "x"}, "answer": {"steps": [["s", "l + 15", "l + 24"], ["l", "v + 11", "v + 35"], ["v", "u + 18", "u + 53"], ["u", "q + 16", "q + 69"], ["q", "d + 20", "d + 89"], ["d", 5, "94"]], "target_var_name": "x", "target_value": 94, "value_dict": {"d": 5}, "is_reverse": true}}
| 22,690
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = l + 15; r = t + 11; v = u + 18; l = v + 11; u = q + 16; a = k + 2; p = r + 16; q = d + 20; k = i + 14; t = a + 4; x = s + 9; i = d + 2; d = 5. If d = 5, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = l + 15 to x, which gives x = l + 24.\n2. Substitute l = v + 11 to x, which gives x = v + 35.\n3. Substitute v = u + 18 to x, which gives x = u + 53.\n4. Substitute u = q + 16 to x, which gives x = q + 69.\n5. Substitute q = d + 20 to x, which gives x = d + 89.\n6. Substitute d = 5 to x, which gives x = 94.\n\nThus, the final answer is x = \\boxed{94}.",
"index": 22690,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = l + 15; r = t + 11; v = u + 18; l = v + 11; u = q + 16; a = k + 2; p = r + 16; q = d + 20; k = i + 14; t = a + 4; x = s + 9; i = d + 2; d = 5. If d = 5, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"y": "r + 3", "m": "y + 2", "g": "m + 20", "j": "g + 15", "p": "j + 12", "e": "p + 1", "z": "r + 1", "s": "z + 3", "k": "s + 6", "h": "k + 18", "t": "h + 10", "a": "t + 14", "r": 4}, "premises": {"r": 4}, "target": "e"}, "answer": {"steps": [["p", "j + 12", "j + 13"], ["j", "g + 15", "g + 28"], ["g", "m + 20", "m + 48"], ["m", "y + 2", "y + 50"], ["y", "r + 3", "r + 53"], ["r", 4, "57"]], "target_var_name": "e", "target_value": 57, "value_dict": {"r": 4}, "is_reverse": true}}
| 22,691
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = k + 18; m = y + 2; z = r + 1; e = p + 1; t = h + 10; y = r + 3; a = t + 14; g = m + 20; p = j + 12; j = g + 15; s = z + 3; k = s + 6; r = 4. If r = 4, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = j + 12 to e, which gives e = j + 13.\n2. Substitute j = g + 15 to e, which gives e = g + 28.\n3. Substitute g = m + 20 to e, which gives e = m + 48.\n4. Substitute m = y + 2 to e, which gives e = y + 50.\n5. Substitute y = r + 3 to e, which gives e = r + 53.\n6. Substitute r = 4 to e, which gives e = 57.\n\nThus, the final answer is e = \\boxed{57}.",
"index": 22691,
"question": "Consider a system of variables where each variable is defined as follows: h = k + 18; m = y + 2; z = r + 1; e = p + 1; t = h + 10; y = r + 3; a = t + 14; g = m + 20; p = j + 12; j = g + 15; s = z + 3; k = s + 6; r = 4. If r = 4, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"e": "h + 17", "z": "e + 3", "k": "z + 12", "a": "k + 1", "u": "a + 8", "x": "u + 2", "j": "h + 13", "l": "j + 7", "v": "l + 15", "t": "v + 8", "p": "t + 20", "o": "p + 5", "h": 4}, "premises": {"h": 4}, "target": "x"}, "answer": {"steps": [["u", "a + 8", "a + 10"], ["a", "k + 1", "k + 11"], ["k", "z + 12", "z + 23"], ["z", "e + 3", "e + 26"], ["e", "h + 17", "h + 43"], ["h", 4, "47"]], "target_var_name": "x", "target_value": 47, "value_dict": {"h": 4}, "is_reverse": true}}
| 22,692
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = v + 8; l = j + 7; x = u + 2; k = z + 12; j = h + 13; h = 4; u = a + 8; v = l + 15; o = p + 5; e = h + 17; p = t + 20; a = k + 1; z = e + 3. Given that h = 4, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 47,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = a + 8 to x, which gives x = a + 10.\n2. Substitute a = k + 1 to x, which gives x = k + 11.\n3. Substitute k = z + 12 to x, which gives x = z + 23.\n4. Substitute z = e + 3 to x, which gives x = e + 26.\n5. Substitute e = h + 17 to x, which gives x = h + 43.\n6. Substitute h = 4 to x, which gives x = 47.\n\nThus, the final answer is x = \\boxed{47}.",
"index": 22692,
"question": "Suppose a collection of variables is related by the following definitions: t = v + 8; l = j + 7; x = u + 2; k = z + 12; j = h + 13; h = 4; u = a + 8; v = l + 15; o = p + 5; e = h + 17; p = t + 20; a = k + 1; z = e + 3. Given that h = 4, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"e": "t + 19", "h": "e + 19", "u": "h + 11", "i": "u + 11", "m": "i + 17", "y": "m + 13", "j": "t + 10", "d": "j + 7", "f": "d + 8", "k": "f + 1", "x": "k + 20", "b": "x + 1", "t": 18}, "premises": {"t": 18}, "target": "y"}, "answer": {"steps": [["m", "i + 17", "i + 30"], ["i", "u + 11", "u + 41"], ["u", "h + 11", "h + 52"], ["h", "e + 19", "e + 71"], ["e", "t + 19", "t + 90"], ["t", 18, "108"]], "target_var_name": "y", "target_value": 108, "value_dict": {"t": 18}, "is_reverse": true}}
| 22,693
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = m + 13; t = 18; b = x + 1; m = i + 17; h = e + 19; d = j + 7; i = u + 11; j = t + 10; x = k + 20; f = d + 8; k = f + 1; u = h + 11; e = t + 19. If t = 18, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 108,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = i + 17 to y, which gives y = i + 30.\n2. Substitute i = u + 11 to y, which gives y = u + 41.\n3. Substitute u = h + 11 to y, which gives y = h + 52.\n4. Substitute h = e + 19 to y, which gives y = e + 71.\n5. Substitute e = t + 19 to y, which gives y = t + 90.\n6. Substitute t = 18 to y, which gives y = 108.\n\nThus, the final answer is y = \\boxed{108}.",
"index": 22693,
"question": "Consider a system of variables where each variable is defined as follows: y = m + 13; t = 18; b = x + 1; m = i + 17; h = e + 19; d = j + 7; i = u + 11; j = t + 10; x = k + 20; f = d + 8; k = f + 1; u = h + 11; e = t + 19. If t = 18, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"q": "n + 7", "c": "q + 17", "u": "c + 2", "o": "u + 10", "x": "o + 1", "l": "x + 14", "y": "n + 4", "j": "y + 13", "d": "j + 14", "v": "d + 9", "h": "v + 2", "b": "h + 1", "n": 1}, "premises": {"n": 1}, "target": "l"}, "answer": {"steps": [["x", "o + 1", "o + 15"], ["o", "u + 10", "u + 25"], ["u", "c + 2", "c + 27"], ["c", "q + 17", "q + 44"], ["q", "n + 7", "n + 51"], ["n", 1, "52"]], "target_var_name": "l", "target_value": 52, "value_dict": {"n": 1}, "is_reverse": true}}
| 22,694
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = n + 4; n = 1; o = u + 10; h = v + 2; v = d + 9; q = n + 7; u = c + 2; l = x + 14; j = y + 13; b = h + 1; d = j + 14; c = q + 17; x = o + 1. Given that n = 1, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 52,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = o + 1 to l, which gives l = o + 15.\n2. Substitute o = u + 10 to l, which gives l = u + 25.\n3. Substitute u = c + 2 to l, which gives l = c + 27.\n4. Substitute c = q + 17 to l, which gives l = q + 44.\n5. Substitute q = n + 7 to l, which gives l = n + 51.\n6. Substitute n = 1 to l, which gives l = 52.\n\nThus, the final answer is l = \\boxed{52}.",
"index": 22694,
"question": "Suppose a collection of variables is related by the following definitions: y = n + 4; n = 1; o = u + 10; h = v + 2; v = d + 9; q = n + 7; u = c + 2; l = x + 14; j = y + 13; b = h + 1; d = j + 14; c = q + 17; x = o + 1. Given that n = 1, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"w": "u + 2", "p": "w + 17", "q": "p + 5", "i": "q + 13", "e": "i + 15", "m": "e + 10", "s": "u + 1", "c": "s + 8", "v": "c + 8", "t": "v + 8", "z": "t + 14", "y": "z + 1", "u": 19}, "premises": {"u": 19}, "target": "m"}, "answer": {"steps": [["e", "i + 15", "i + 25"], ["i", "q + 13", "q + 38"], ["q", "p + 5", "p + 43"], ["p", "w + 17", "w + 60"], ["w", "u + 2", "u + 62"], ["u", 19, "81"]], "target_var_name": "m", "target_value": 81, "value_dict": {"u": 19}, "is_reverse": true}}
| 22,695
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = q + 13; u = 19; t = v + 8; z = t + 14; c = s + 8; s = u + 1; p = w + 17; w = u + 2; e = i + 15; y = z + 1; v = c + 8; m = e + 10; q = p + 5. If u = 19, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = i + 15 to m, which gives m = i + 25.\n2. Substitute i = q + 13 to m, which gives m = q + 38.\n3. Substitute q = p + 5 to m, which gives m = p + 43.\n4. Substitute p = w + 17 to m, which gives m = w + 60.\n5. Substitute w = u + 2 to m, which gives m = u + 62.\n6. Substitute u = 19 to m, which gives m = 81.\n\nThus, the final answer is m = \\boxed{81}.",
"index": 22695,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = q + 13; u = 19; t = v + 8; z = t + 14; c = s + 8; s = u + 1; p = w + 17; w = u + 2; e = i + 15; y = z + 1; v = c + 8; m = e + 10; q = p + 5. If u = 19, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"y": "r + 7", "w": "y + 9", "a": "w + 6", "n": "a + 6", "p": "n + 6", "g": "p + 3", "l": "r + 3", "v": "l + 8", "z": "v + 12", "d": "z + 4", "j": "d + 4", "h": "j + 9", "r": 20}, "premises": {"r": 20}, "target": "g"}, "answer": {"steps": [["p", "n + 6", "n + 9"], ["n", "a + 6", "a + 15"], ["a", "w + 6", "w + 21"], ["w", "y + 9", "y + 30"], ["y", "r + 7", "r + 37"], ["r", 20, "57"]], "target_var_name": "g", "target_value": 57, "value_dict": {"r": 20}, "is_reverse": true}}
| 22,696
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = w + 6; n = a + 6; p = n + 6; d = z + 4; v = l + 8; r = 20; y = r + 7; g = p + 3; h = j + 9; z = v + 12; l = r + 3; w = y + 9; j = d + 4. Given that r = 20, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = n + 6 to g, which gives g = n + 9.\n2. Substitute n = a + 6 to g, which gives g = a + 15.\n3. Substitute a = w + 6 to g, which gives g = w + 21.\n4. Substitute w = y + 9 to g, which gives g = y + 30.\n5. Substitute y = r + 7 to g, which gives g = r + 37.\n6. Substitute r = 20 to g, which gives g = 57.\n\nThus, the final answer is g = \\boxed{57}.",
"index": 22696,
"question": "Suppose a collection of variables is related by the following definitions: a = w + 6; n = a + 6; p = n + 6; d = z + 4; v = l + 8; r = 20; y = r + 7; g = p + 3; h = j + 9; z = v + 12; l = r + 3; w = y + 9; j = d + 4. Given that r = 20, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"i": "j + 16", "n": "i + 6", "a": "n + 19", "f": "a + 2", "o": "f + 13", "p": "o + 2", "g": "j + 12", "h": "g + 15", "z": "h + 16", "m": "z + 12", "d": "m + 14", "k": "d + 13", "j": 6}, "premises": {"j": 6}, "target": "p"}, "answer": {"steps": [["o", "f + 13", "f + 15"], ["f", "a + 2", "a + 17"], ["a", "n + 19", "n + 36"], ["n", "i + 6", "i + 42"], ["i", "j + 16", "j + 58"], ["j", 6, "64"]], "target_var_name": "p", "target_value": 64, "value_dict": {"j": 6}, "is_reverse": true}}
| 22,697
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = m + 14; h = g + 15; p = o + 2; z = h + 16; f = a + 2; a = n + 19; k = d + 13; i = j + 16; o = f + 13; m = z + 12; g = j + 12; j = 6; n = i + 6. Given that j = 6, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = f + 13 to p, which gives p = f + 15.\n2. Substitute f = a + 2 to p, which gives p = a + 17.\n3. Substitute a = n + 19 to p, which gives p = n + 36.\n4. Substitute n = i + 6 to p, which gives p = i + 42.\n5. Substitute i = j + 16 to p, which gives p = j + 58.\n6. Substitute j = 6 to p, which gives p = 64.\n\nThus, the final answer is p = \\boxed{64}.",
"index": 22697,
"question": "Suppose a collection of variables is related by the following definitions: d = m + 14; h = g + 15; p = o + 2; z = h + 16; f = a + 2; a = n + 19; k = d + 13; i = j + 16; o = f + 13; m = z + 12; g = j + 12; j = 6; n = i + 6. Given that j = 6, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"c": "p + 9", "o": "c + 14", "y": "o + 20", "h": "y + 7", "r": "h + 14", "l": "r + 9", "f": "p + 15", "m": "f + 1", "g": "m + 6", "i": "g + 1", "n": "i + 7", "d": "n + 4", "p": 13}, "premises": {"p": 13}, "target": "l"}, "answer": {"steps": [["r", "h + 14", "h + 23"], ["h", "y + 7", "y + 30"], ["y", "o + 20", "o + 50"], ["o", "c + 14", "c + 64"], ["c", "p + 9", "p + 73"], ["p", 13, "86"]], "target_var_name": "l", "target_value": 86, "value_dict": {"p": 13}, "is_reverse": true}}
| 22,698
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = m + 6; n = i + 7; h = y + 7; i = g + 1; d = n + 4; y = o + 20; p = 13; o = c + 14; c = p + 9; f = p + 15; l = r + 9; r = h + 14; m = f + 1. If p = 13, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = h + 14 to l, which gives l = h + 23.\n2. Substitute h = y + 7 to l, which gives l = y + 30.\n3. Substitute y = o + 20 to l, which gives l = o + 50.\n4. Substitute o = c + 14 to l, which gives l = c + 64.\n5. Substitute c = p + 9 to l, which gives l = p + 73.\n6. Substitute p = 13 to l, which gives l = 86.\n\nThus, the final answer is l = \\boxed{86}.",
"index": 22698,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = m + 6; n = i + 7; h = y + 7; i = g + 1; d = n + 4; y = o + 20; p = 13; o = c + 14; c = p + 9; f = p + 15; l = r + 9; r = h + 14; m = f + 1. If p = 13, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"y": "w + 17", "i": "y + 15", "c": "i + 11", "l": "c + 1", "t": "l + 8", "g": "t + 3", "q": "w + 9", "e": "q + 12", "n": "e + 3", "j": "n + 20", "k": "j + 1", "a": "k + 7", "w": 17}, "premises": {"w": 17}, "target": "g"}, "answer": {"steps": [["t", "l + 8", "l + 11"], ["l", "c + 1", "c + 12"], ["c", "i + 11", "i + 23"], ["i", "y + 15", "y + 38"], ["y", "w + 17", "w + 55"], ["w", 17, "72"]], "target_var_name": "g", "target_value": 72, "value_dict": {"w": 17}, "is_reverse": true}}
| 22,699
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = e + 3; g = t + 3; i = y + 15; t = l + 8; j = n + 20; q = w + 9; y = w + 17; c = i + 11; e = q + 12; k = j + 1; w = 17; l = c + 1; a = k + 7. If w = 17, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = l + 8 to g, which gives g = l + 11.\n2. Substitute l = c + 1 to g, which gives g = c + 12.\n3. Substitute c = i + 11 to g, which gives g = i + 23.\n4. Substitute i = y + 15 to g, which gives g = y + 38.\n5. Substitute y = w + 17 to g, which gives g = w + 55.\n6. Substitute w = 17 to g, which gives g = 72.\n\nThus, the final answer is g = \\boxed{72}.",
"index": 22699,
"question": "Consider a system of variables where each variable is defined as follows: n = e + 3; g = t + 3; i = y + 15; t = l + 8; j = n + 20; q = w + 9; y = w + 17; c = i + 11; e = q + 12; k = j + 1; w = 17; l = c + 1; a = k + 7. If w = 17, determine the value of g.",
"split": "train"
}
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.