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": {"o": "f + 4", "t": "o + 4", "r": "t + 7", "d": "r + 10", "e": "d + 5", "h": "e + 9", "l": "f + 15", "w": "l + 10", "v": "w + 16", "q": "v + 16", "z": "q + 2", "k": "z + 11", "f": 4}, "premises": {"f": 4}, "target": "h"}, "answer": {"steps": [["e", "d + 5", "d + 14"], ["d", "r + 10", "r + 24"], ["r", "t + 7", "t + 31"], ["t", "o + 4", "o + 35"], ["o", "f + 4", "f + 39"], ["f", 4, "43"]], "target_var_name": "h", "target_value": 43, "value_dict": {"f": 4}, "is_reverse": true}}
| 1,300
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = r + 10; f = 4; t = o + 4; r = t + 7; k = z + 11; h = e + 9; v = w + 16; e = d + 5; q = v + 16; w = l + 10; l = f + 15; z = q + 2; o = f + 4. If f = 4, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 43,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = d + 5 to h, which gives h = d + 14.\n2. Substitute d = r + 10 to h, which gives h = r + 24.\n3. Substitute r = t + 7 to h, which gives h = t + 31.\n4. Substitute t = o + 4 to h, which gives h = o + 35.\n5. Substitute o = f + 4 to h, which gives h = f + 39.\n6. Substitute f = 4 to h, which gives h = 43.\n\nThus, the final answer is h = \\boxed{43}.",
"index": 1300,
"question": "Consider a system of variables where each variable is defined as follows: d = r + 10; f = 4; t = o + 4; r = t + 7; k = z + 11; h = e + 9; v = w + 16; e = d + 5; q = v + 16; w = l + 10; l = f + 15; z = q + 2; o = f + 4. If f = 4, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"n": "q + 5", "x": "n + 9", "s": "x + 20", "o": "s + 19", "e": "o + 7", "k": "e + 20", "v": "q + 15", "y": "v + 4", "p": "y + 20", "c": "p + 13", "t": "c + 14", "h": "t + 8", "q": 13}, "premises": {"q": 13}, "target": "k"}, "answer": {"steps": [["e", "o + 7", "o + 27"], ["o", "s + 19", "s + 46"], ["s", "x + 20", "x + 66"], ["x", "n + 9", "n + 75"], ["n", "q + 5", "q + 80"], ["q", 13, "93"]], "target_var_name": "k", "target_value": 93, "value_dict": {"q": 13}, "is_reverse": true}}
| 1,301
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = q + 15; e = o + 7; q = 13; p = y + 20; x = n + 9; n = q + 5; t = c + 14; h = t + 8; k = e + 20; o = s + 19; y = v + 4; c = p + 13; s = x + 20. If q = 13, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = o + 7 to k, which gives k = o + 27.\n2. Substitute o = s + 19 to k, which gives k = s + 46.\n3. Substitute s = x + 20 to k, which gives k = x + 66.\n4. Substitute x = n + 9 to k, which gives k = n + 75.\n5. Substitute n = q + 5 to k, which gives k = q + 80.\n6. Substitute q = 13 to k, which gives k = 93.\n\nThus, the final answer is k = \\boxed{93}.",
"index": 1301,
"question": "Consider a system of variables where each variable is defined as follows: v = q + 15; e = o + 7; q = 13; p = y + 20; x = n + 9; n = q + 5; t = c + 14; h = t + 8; k = e + 20; o = s + 19; y = v + 4; c = p + 13; s = x + 20. If q = 13, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"t": "y + 17", "c": "t + 17", "o": "c + 20", "i": "o + 1", "u": "i + 10", "k": "u + 5", "z": "y + 1", "s": "z + 1", "p": "s + 19", "a": "p + 16", "m": "a + 9", "v": "m + 1", "y": 19}, "premises": {"y": 19}, "target": "k"}, "answer": {"steps": [["u", "i + 10", "i + 15"], ["i", "o + 1", "o + 16"], ["o", "c + 20", "c + 36"], ["c", "t + 17", "t + 53"], ["t", "y + 17", "y + 70"], ["y", 19, "89"]], "target_var_name": "k", "target_value": 89, "value_dict": {"y": 19}, "is_reverse": true}}
| 1,302
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = p + 16; o = c + 20; c = t + 17; y = 19; m = a + 9; t = y + 17; p = s + 19; u = i + 10; k = u + 5; i = o + 1; z = y + 1; s = z + 1; v = m + 1. If y = 19, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = i + 10 to k, which gives k = i + 15.\n2. Substitute i = o + 1 to k, which gives k = o + 16.\n3. Substitute o = c + 20 to k, which gives k = c + 36.\n4. Substitute c = t + 17 to k, which gives k = t + 53.\n5. Substitute t = y + 17 to k, which gives k = y + 70.\n6. Substitute y = 19 to k, which gives k = 89.\n\nThus, the final answer is k = \\boxed{89}.",
"index": 1302,
"question": "Consider a system of variables where each variable is defined as follows: a = p + 16; o = c + 20; c = t + 17; y = 19; m = a + 9; t = y + 17; p = s + 19; u = i + 10; k = u + 5; i = o + 1; z = y + 1; s = z + 1; v = m + 1. If y = 19, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"u": "y + 19", "d": "u + 5", "h": "d + 16", "n": "h + 13", "l": "n + 18", "a": "l + 16", "x": "y + 11", "b": "x + 4", "z": "b + 20", "k": "z + 13", "s": "k + 1", "t": "s + 10", "y": 16}, "premises": {"y": 16}, "target": "a"}, "answer": {"steps": [["l", "n + 18", "n + 34"], ["n", "h + 13", "h + 47"], ["h", "d + 16", "d + 63"], ["d", "u + 5", "u + 68"], ["u", "y + 19", "y + 87"], ["y", 16, "103"]], "target_var_name": "a", "target_value": 103, "value_dict": {"y": 16}, "is_reverse": true}}
| 1,303
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = x + 4; d = u + 5; h = d + 16; s = k + 1; u = y + 19; k = z + 13; a = l + 16; t = s + 10; l = n + 18; n = h + 13; y = 16; x = y + 11; z = b + 20. If y = 16, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 103,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = n + 18 to a, which gives a = n + 34.\n2. Substitute n = h + 13 to a, which gives a = h + 47.\n3. Substitute h = d + 16 to a, which gives a = d + 63.\n4. Substitute d = u + 5 to a, which gives a = u + 68.\n5. Substitute u = y + 19 to a, which gives a = y + 87.\n6. Substitute y = 16 to a, which gives a = 103.\n\nThus, the final answer is a = \\boxed{103}.",
"index": 1303,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = x + 4; d = u + 5; h = d + 16; s = k + 1; u = y + 19; k = z + 13; a = l + 16; t = s + 10; l = n + 18; n = h + 13; y = 16; x = y + 11; z = b + 20. If y = 16, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"n": "z + 8", "u": "n + 15", "r": "u + 13", "t": "r + 19", "b": "t + 19", "f": "b + 12", "s": "z + 14", "p": "s + 19", "k": "p + 18", "w": "k + 2", "o": "w + 14", "l": "o + 5", "z": 4}, "premises": {"z": 4}, "target": "f"}, "answer": {"steps": [["b", "t + 19", "t + 31"], ["t", "r + 19", "r + 50"], ["r", "u + 13", "u + 63"], ["u", "n + 15", "n + 78"], ["n", "z + 8", "z + 86"], ["z", 4, "90"]], "target_var_name": "f", "target_value": 90, "value_dict": {"z": 4}, "is_reverse": true}}
| 1,304
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = w + 14; n = z + 8; s = z + 14; r = u + 13; f = b + 12; p = s + 19; k = p + 18; u = n + 15; t = r + 19; b = t + 19; l = o + 5; w = k + 2; z = 4. If z = 4, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = t + 19 to f, which gives f = t + 31.\n2. Substitute t = r + 19 to f, which gives f = r + 50.\n3. Substitute r = u + 13 to f, which gives f = u + 63.\n4. Substitute u = n + 15 to f, which gives f = n + 78.\n5. Substitute n = z + 8 to f, which gives f = z + 86.\n6. Substitute z = 4 to f, which gives f = 90.\n\nThus, the final answer is f = \\boxed{90}.",
"index": 1304,
"question": "Consider a system of variables where each variable is defined as follows: o = w + 14; n = z + 8; s = z + 14; r = u + 13; f = b + 12; p = s + 19; k = p + 18; u = n + 15; t = r + 19; b = t + 19; l = o + 5; w = k + 2; z = 4. If z = 4, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"n": "q + 13", "r": "n + 6", "z": "r + 4", "t": "z + 9", "w": "t + 17", "v": "w + 20", "s": "q + 4", "o": "s + 11", "m": "o + 7", "j": "m + 6", "g": "j + 6", "i": "g + 9", "q": 7}, "premises": {"q": 7}, "target": "v"}, "answer": {"steps": [["w", "t + 17", "t + 37"], ["t", "z + 9", "z + 46"], ["z", "r + 4", "r + 50"], ["r", "n + 6", "n + 56"], ["n", "q + 13", "q + 69"], ["q", 7, "76"]], "target_var_name": "v", "target_value": 76, "value_dict": {"q": 7}, "is_reverse": true}}
| 1,305
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = q + 4; q = 7; n = q + 13; o = s + 11; m = o + 7; r = n + 6; t = z + 9; z = r + 4; w = t + 17; i = g + 9; j = m + 6; g = j + 6; v = w + 20. If q = 7, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = t + 17 to v, which gives v = t + 37.\n2. Substitute t = z + 9 to v, which gives v = z + 46.\n3. Substitute z = r + 4 to v, which gives v = r + 50.\n4. Substitute r = n + 6 to v, which gives v = n + 56.\n5. Substitute n = q + 13 to v, which gives v = q + 69.\n6. Substitute q = 7 to v, which gives v = 76.\n\nThus, the final answer is v = \\boxed{76}.",
"index": 1305,
"question": "Consider a system of variables where each variable is defined as follows: s = q + 4; q = 7; n = q + 13; o = s + 11; m = o + 7; r = n + 6; t = z + 9; z = r + 4; w = t + 17; i = g + 9; j = m + 6; g = j + 6; v = w + 20. If q = 7, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"r": "t + 17", "g": "r + 10", "s": "g + 8", "f": "s + 5", "m": "f + 18", "i": "m + 15", "z": "t + 10", "d": "z + 12", "o": "d + 16", "a": "o + 16", "u": "a + 3", "k": "u + 3", "t": 13}, "premises": {"t": 13}, "target": "i"}, "answer": {"steps": [["m", "f + 18", "f + 33"], ["f", "s + 5", "s + 38"], ["s", "g + 8", "g + 46"], ["g", "r + 10", "r + 56"], ["r", "t + 17", "t + 73"], ["t", 13, "86"]], "target_var_name": "i", "target_value": 86, "value_dict": {"t": 13}, "is_reverse": true}}
| 1,306
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = s + 5; t = 13; u = a + 3; r = t + 17; k = u + 3; a = o + 16; o = d + 16; i = m + 15; s = g + 8; m = f + 18; g = r + 10; z = t + 10; d = z + 12. If t = 13, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = f + 18 to i, which gives i = f + 33.\n2. Substitute f = s + 5 to i, which gives i = s + 38.\n3. Substitute s = g + 8 to i, which gives i = g + 46.\n4. Substitute g = r + 10 to i, which gives i = r + 56.\n5. Substitute r = t + 17 to i, which gives i = t + 73.\n6. Substitute t = 13 to i, which gives i = 86.\n\nThus, the final answer is i = \\boxed{86}.",
"index": 1306,
"question": "Consider a system of variables where each variable is defined as follows: f = s + 5; t = 13; u = a + 3; r = t + 17; k = u + 3; a = o + 16; o = d + 16; i = m + 15; s = g + 8; m = f + 18; g = r + 10; z = t + 10; d = z + 12. If t = 13, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"v": "l + 2", "j": "v + 3", "u": "j + 7", "w": "u + 14", "r": "w + 16", "h": "r + 17", "g": "l + 20", "n": "g + 16", "y": "n + 11", "x": "y + 2", "d": "x + 4", "s": "d + 20", "l": 14}, "premises": {"l": 14}, "target": "h"}, "answer": {"steps": [["r", "w + 16", "w + 33"], ["w", "u + 14", "u + 47"], ["u", "j + 7", "j + 54"], ["j", "v + 3", "v + 57"], ["v", "l + 2", "l + 59"], ["l", 14, "73"]], "target_var_name": "h", "target_value": 73, "value_dict": {"l": 14}, "is_reverse": true}}
| 1,307
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = l + 20; h = r + 17; n = g + 16; u = j + 7; v = l + 2; l = 14; r = w + 16; s = d + 20; y = n + 11; j = v + 3; d = x + 4; x = y + 2; w = u + 14. If l = 14, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = w + 16 to h, which gives h = w + 33.\n2. Substitute w = u + 14 to h, which gives h = u + 47.\n3. Substitute u = j + 7 to h, which gives h = j + 54.\n4. Substitute j = v + 3 to h, which gives h = v + 57.\n5. Substitute v = l + 2 to h, which gives h = l + 59.\n6. Substitute l = 14 to h, which gives h = 73.\n\nThus, the final answer is h = \\boxed{73}.",
"index": 1307,
"question": "Consider a system of variables where each variable is defined as follows: g = l + 20; h = r + 17; n = g + 16; u = j + 7; v = l + 2; l = 14; r = w + 16; s = d + 20; y = n + 11; j = v + 3; d = x + 4; x = y + 2; w = u + 14. If l = 14, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"f": "o + 19", "r": "f + 10", "l": "r + 3", "x": "l + 14", "k": "x + 12", "w": "k + 17", "p": "o + 7", "j": "p + 6", "a": "j + 17", "n": "a + 13", "z": "n + 1", "c": "z + 20", "o": 16}, "premises": {"o": 16}, "target": "w"}, "answer": {"steps": [["k", "x + 12", "x + 29"], ["x", "l + 14", "l + 43"], ["l", "r + 3", "r + 46"], ["r", "f + 10", "f + 56"], ["f", "o + 19", "o + 75"], ["o", 16, "91"]], "target_var_name": "w", "target_value": 91, "value_dict": {"o": 16}, "is_reverse": true}}
| 1,308
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = o + 7; j = p + 6; n = a + 13; c = z + 20; o = 16; k = x + 12; w = k + 17; l = r + 3; r = f + 10; f = o + 19; z = n + 1; x = l + 14; a = j + 17. Given that o = 16, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = x + 12 to w, which gives w = x + 29.\n2. Substitute x = l + 14 to w, which gives w = l + 43.\n3. Substitute l = r + 3 to w, which gives w = r + 46.\n4. Substitute r = f + 10 to w, which gives w = f + 56.\n5. Substitute f = o + 19 to w, which gives w = o + 75.\n6. Substitute o = 16 to w, which gives w = 91.\n\nThus, the final answer is w = \\boxed{91}.",
"index": 1308,
"question": "Suppose a collection of variables is related by the following definitions: p = o + 7; j = p + 6; n = a + 13; c = z + 20; o = 16; k = x + 12; w = k + 17; l = r + 3; r = f + 10; f = o + 19; z = n + 1; x = l + 14; a = j + 17. Given that o = 16, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"g": "c + 14", "o": "g + 13", "z": "o + 11", "q": "z + 5", "u": "q + 17", "r": "u + 12", "k": "c + 17", "b": "k + 7", "l": "b + 18", "h": "l + 19", "s": "h + 13", "y": "s + 13", "c": 6}, "premises": {"c": 6}, "target": "r"}, "answer": {"steps": [["u", "q + 17", "q + 29"], ["q", "z + 5", "z + 34"], ["z", "o + 11", "o + 45"], ["o", "g + 13", "g + 58"], ["g", "c + 14", "c + 72"], ["c", 6, "78"]], "target_var_name": "r", "target_value": 78, "value_dict": {"c": 6}, "is_reverse": true}}
| 1,309
| 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 = z + 5; y = s + 13; r = u + 12; g = c + 14; c = 6; l = b + 18; s = h + 13; h = l + 19; o = g + 13; u = q + 17; z = o + 11; k = c + 17; b = k + 7. If c = 6, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = q + 17 to r, which gives r = q + 29.\n2. Substitute q = z + 5 to r, which gives r = z + 34.\n3. Substitute z = o + 11 to r, which gives r = o + 45.\n4. Substitute o = g + 13 to r, which gives r = g + 58.\n5. Substitute g = c + 14 to r, which gives r = c + 72.\n6. Substitute c = 6 to r, which gives r = 78.\n\nThus, the final answer is r = \\boxed{78}.",
"index": 1309,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = z + 5; y = s + 13; r = u + 12; g = c + 14; c = 6; l = b + 18; s = h + 13; h = l + 19; o = g + 13; u = q + 17; z = o + 11; k = c + 17; b = k + 7. If c = 6, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"k": "r + 12", "h": "k + 18", "w": "h + 17", "f": "w + 19", "s": "f + 20", "g": "s + 17", "a": "r + 17", "o": "a + 1", "d": "o + 9", "c": "d + 11", "i": "c + 9", "q": "i + 8", "r": 17}, "premises": {"r": 17}, "target": "g"}, "answer": {"steps": [["s", "f + 20", "f + 37"], ["f", "w + 19", "w + 56"], ["w", "h + 17", "h + 73"], ["h", "k + 18", "k + 91"], ["k", "r + 12", "r + 103"], ["r", 17, "120"]], "target_var_name": "g", "target_value": 120, "value_dict": {"r": 17}, "is_reverse": true}}
| 1,310
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = f + 20; q = i + 8; o = a + 1; f = w + 19; c = d + 11; k = r + 12; i = c + 9; d = o + 9; r = 17; w = h + 17; g = s + 17; h = k + 18; a = r + 17. If r = 17, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 120,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = f + 20 to g, which gives g = f + 37.\n2. Substitute f = w + 19 to g, which gives g = w + 56.\n3. Substitute w = h + 17 to g, which gives g = h + 73.\n4. Substitute h = k + 18 to g, which gives g = k + 91.\n5. Substitute k = r + 12 to g, which gives g = r + 103.\n6. Substitute r = 17 to g, which gives g = 120.\n\nThus, the final answer is g = \\boxed{120}.",
"index": 1310,
"question": "Consider a system of variables where each variable is defined as follows: s = f + 20; q = i + 8; o = a + 1; f = w + 19; c = d + 11; k = r + 12; i = c + 9; d = o + 9; r = 17; w = h + 17; g = s + 17; h = k + 18; a = r + 17. If r = 17, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"z": "r + 15", "f": "z + 6", "d": "f + 7", "g": "d + 10", "j": "g + 9", "n": "j + 10", "c": "r + 1", "v": "c + 14", "k": "v + 19", "y": "k + 3", "q": "y + 10", "o": "q + 4", "r": 12}, "premises": {"r": 12}, "target": "n"}, "answer": {"steps": [["j", "g + 9", "g + 19"], ["g", "d + 10", "d + 29"], ["d", "f + 7", "f + 36"], ["f", "z + 6", "z + 42"], ["z", "r + 15", "r + 57"], ["r", 12, "69"]], "target_var_name": "n", "target_value": 69, "value_dict": {"r": 12}, "is_reverse": true}}
| 1,311
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = r + 15; r = 12; f = z + 6; q = y + 10; k = v + 19; c = r + 1; n = j + 10; v = c + 14; g = d + 10; o = q + 4; j = g + 9; d = f + 7; y = k + 3. Given that r = 12, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = g + 9 to n, which gives n = g + 19.\n2. Substitute g = d + 10 to n, which gives n = d + 29.\n3. Substitute d = f + 7 to n, which gives n = f + 36.\n4. Substitute f = z + 6 to n, which gives n = z + 42.\n5. Substitute z = r + 15 to n, which gives n = r + 57.\n6. Substitute r = 12 to n, which gives n = 69.\n\nThus, the final answer is n = \\boxed{69}.",
"index": 1311,
"question": "Suppose a collection of variables is related by the following definitions: z = r + 15; r = 12; f = z + 6; q = y + 10; k = v + 19; c = r + 1; n = j + 10; v = c + 14; g = d + 10; o = q + 4; j = g + 9; d = f + 7; y = k + 3. Given that r = 12, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"a": "m + 11", "b": "a + 5", "w": "b + 20", "q": "w + 10", "g": "q + 4", "f": "g + 14", "p": "m + 1", "z": "p + 17", "n": "z + 14", "e": "n + 1", "s": "e + 20", "v": "s + 14", "m": 11}, "premises": {"m": 11}, "target": "f"}, "answer": {"steps": [["g", "q + 4", "q + 18"], ["q", "w + 10", "w + 28"], ["w", "b + 20", "b + 48"], ["b", "a + 5", "a + 53"], ["a", "m + 11", "m + 64"], ["m", 11, "75"]], "target_var_name": "f", "target_value": 75, "value_dict": {"m": 11}, "is_reverse": true}}
| 1,312
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = g + 14; b = a + 5; g = q + 4; p = m + 1; e = n + 1; w = b + 20; n = z + 14; a = m + 11; v = s + 14; z = p + 17; s = e + 20; m = 11; q = w + 10. Given that m = 11, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = q + 4 to f, which gives f = q + 18.\n2. Substitute q = w + 10 to f, which gives f = w + 28.\n3. Substitute w = b + 20 to f, which gives f = b + 48.\n4. Substitute b = a + 5 to f, which gives f = a + 53.\n5. Substitute a = m + 11 to f, which gives f = m + 64.\n6. Substitute m = 11 to f, which gives f = 75.\n\nThus, the final answer is f = \\boxed{75}.",
"index": 1312,
"question": "Suppose a collection of variables is related by the following definitions: f = g + 14; b = a + 5; g = q + 4; p = m + 1; e = n + 1; w = b + 20; n = z + 14; a = m + 11; v = s + 14; z = p + 17; s = e + 20; m = 11; q = w + 10. Given that m = 11, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"k": "p + 6", "s": "k + 5", "v": "s + 2", "n": "v + 14", "y": "n + 5", "c": "y + 3", "a": "p + 10", "o": "a + 1", "x": "o + 6", "f": "x + 13", "w": "f + 14", "q": "w + 20", "p": 2}, "premises": {"p": 2}, "target": "c"}, "answer": {"steps": [["y", "n + 5", "n + 8"], ["n", "v + 14", "v + 22"], ["v", "s + 2", "s + 24"], ["s", "k + 5", "k + 29"], ["k", "p + 6", "p + 35"], ["p", 2, "37"]], "target_var_name": "c", "target_value": 37, "value_dict": {"p": 2}, "is_reverse": true}}
| 1,313
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = p + 10; f = x + 13; o = a + 1; w = f + 14; y = n + 5; x = o + 6; n = v + 14; v = s + 2; k = p + 6; s = k + 5; p = 2; q = w + 20; c = y + 3. If p = 2, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 37,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = n + 5 to c, which gives c = n + 8.\n2. Substitute n = v + 14 to c, which gives c = v + 22.\n3. Substitute v = s + 2 to c, which gives c = s + 24.\n4. Substitute s = k + 5 to c, which gives c = k + 29.\n5. Substitute k = p + 6 to c, which gives c = p + 35.\n6. Substitute p = 2 to c, which gives c = 37.\n\nThus, the final answer is c = \\boxed{37}.",
"index": 1313,
"question": "Consider a system of variables where each variable is defined as follows: a = p + 10; f = x + 13; o = a + 1; w = f + 14; y = n + 5; x = o + 6; n = v + 14; v = s + 2; k = p + 6; s = k + 5; p = 2; q = w + 20; c = y + 3. If p = 2, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"j": "w + 9", "y": "j + 7", "s": "y + 8", "i": "s + 2", "o": "i + 12", "k": "o + 15", "p": "w + 3", "c": "p + 8", "r": "c + 18", "b": "r + 14", "a": "b + 10", "z": "a + 7", "w": 8}, "premises": {"w": 8}, "target": "k"}, "answer": {"steps": [["o", "i + 12", "i + 27"], ["i", "s + 2", "s + 29"], ["s", "y + 8", "y + 37"], ["y", "j + 7", "j + 44"], ["j", "w + 9", "w + 53"], ["w", 8, "61"]], "target_var_name": "k", "target_value": 61, "value_dict": {"w": 8}, "is_reverse": true}}
| 1,314
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = w + 3; i = s + 2; a = b + 10; k = o + 15; s = y + 8; c = p + 8; o = i + 12; y = j + 7; r = c + 18; j = w + 9; w = 8; b = r + 14; z = a + 7. If w = 8, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = i + 12 to k, which gives k = i + 27.\n2. Substitute i = s + 2 to k, which gives k = s + 29.\n3. Substitute s = y + 8 to k, which gives k = y + 37.\n4. Substitute y = j + 7 to k, which gives k = j + 44.\n5. Substitute j = w + 9 to k, which gives k = w + 53.\n6. Substitute w = 8 to k, which gives k = 61.\n\nThus, the final answer is k = \\boxed{61}.",
"index": 1314,
"question": "Consider a system of variables where each variable is defined as follows: p = w + 3; i = s + 2; a = b + 10; k = o + 15; s = y + 8; c = p + 8; o = i + 12; y = j + 7; r = c + 18; j = w + 9; w = 8; b = r + 14; z = a + 7. If w = 8, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"k": "q + 12", "w": "k + 12", "t": "w + 3", "z": "t + 6", "g": "z + 11", "m": "g + 10", "s": "q + 7", "c": "s + 1", "o": "c + 17", "b": "o + 7", "f": "b + 16", "a": "f + 5", "q": 7}, "premises": {"q": 7}, "target": "m"}, "answer": {"steps": [["g", "z + 11", "z + 21"], ["z", "t + 6", "t + 27"], ["t", "w + 3", "w + 30"], ["w", "k + 12", "k + 42"], ["k", "q + 12", "q + 54"], ["q", 7, "61"]], "target_var_name": "m", "target_value": 61, "value_dict": {"q": 7}, "is_reverse": true}}
| 1,315
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = w + 3; w = k + 12; q = 7; z = t + 6; a = f + 5; b = o + 7; f = b + 16; s = q + 7; m = g + 10; g = z + 11; c = s + 1; k = q + 12; o = c + 17. If q = 7, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = z + 11 to m, which gives m = z + 21.\n2. Substitute z = t + 6 to m, which gives m = t + 27.\n3. Substitute t = w + 3 to m, which gives m = w + 30.\n4. Substitute w = k + 12 to m, which gives m = k + 42.\n5. Substitute k = q + 12 to m, which gives m = q + 54.\n6. Substitute q = 7 to m, which gives m = 61.\n\nThus, the final answer is m = \\boxed{61}.",
"index": 1315,
"question": "Consider a system of variables where each variable is defined as follows: t = w + 3; w = k + 12; q = 7; z = t + 6; a = f + 5; b = o + 7; f = b + 16; s = q + 7; m = g + 10; g = z + 11; c = s + 1; k = q + 12; o = c + 17. If q = 7, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"b": "d + 16", "g": "b + 14", "m": "g + 10", "o": "m + 3", "p": "o + 1", "t": "p + 14", "s": "d + 2", "f": "s + 9", "x": "f + 16", "e": "x + 8", "a": "e + 10", "w": "a + 3", "d": 14}, "premises": {"d": 14}, "target": "t"}, "answer": {"steps": [["p", "o + 1", "o + 15"], ["o", "m + 3", "m + 18"], ["m", "g + 10", "g + 28"], ["g", "b + 14", "b + 42"], ["b", "d + 16", "d + 58"], ["d", 14, "72"]], "target_var_name": "t", "target_value": 72, "value_dict": {"d": 14}, "is_reverse": true}}
| 1,316
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = a + 3; m = g + 10; d = 14; s = d + 2; e = x + 8; t = p + 14; g = b + 14; a = e + 10; b = d + 16; o = m + 3; x = f + 16; p = o + 1; f = s + 9. Given that d = 14, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = o + 1 to t, which gives t = o + 15.\n2. Substitute o = m + 3 to t, which gives t = m + 18.\n3. Substitute m = g + 10 to t, which gives t = g + 28.\n4. Substitute g = b + 14 to t, which gives t = b + 42.\n5. Substitute b = d + 16 to t, which gives t = d + 58.\n6. Substitute d = 14 to t, which gives t = 72.\n\nThus, the final answer is t = \\boxed{72}.",
"index": 1316,
"question": "Suppose a collection of variables is related by the following definitions: w = a + 3; m = g + 10; d = 14; s = d + 2; e = x + 8; t = p + 14; g = b + 14; a = e + 10; b = d + 16; o = m + 3; x = f + 16; p = o + 1; f = s + 9. Given that d = 14, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"u": "z + 11", "m": "u + 13", "c": "m + 3", "s": "c + 12", "f": "s + 6", "d": "f + 12", "n": "z + 5", "o": "n + 10", "j": "o + 7", "i": "j + 12", "k": "i + 19", "q": "k + 8", "z": 12}, "premises": {"z": 12}, "target": "d"}, "answer": {"steps": [["f", "s + 6", "s + 18"], ["s", "c + 12", "c + 30"], ["c", "m + 3", "m + 33"], ["m", "u + 13", "u + 46"], ["u", "z + 11", "z + 57"], ["z", 12, "69"]], "target_var_name": "d", "target_value": 69, "value_dict": {"z": 12}, "is_reverse": true}}
| 1,317
| 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 = o + 7; u = z + 11; d = f + 12; q = k + 8; c = m + 3; k = i + 19; m = u + 13; o = n + 10; z = 12; f = s + 6; i = j + 12; n = z + 5; s = c + 12. If z = 12, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = s + 6 to d, which gives d = s + 18.\n2. Substitute s = c + 12 to d, which gives d = c + 30.\n3. Substitute c = m + 3 to d, which gives d = m + 33.\n4. Substitute m = u + 13 to d, which gives d = u + 46.\n5. Substitute u = z + 11 to d, which gives d = z + 57.\n6. Substitute z = 12 to d, which gives d = 69.\n\nThus, the final answer is d = \\boxed{69}.",
"index": 1317,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = o + 7; u = z + 11; d = f + 12; q = k + 8; c = m + 3; k = i + 19; m = u + 13; o = n + 10; z = 12; f = s + 6; i = j + 12; n = z + 5; s = c + 12. If z = 12, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"p": "g + 13", "a": "p + 15", "e": "a + 14", "m": "e + 17", "i": "m + 10", "w": "i + 16", "c": "g + 7", "l": "c + 17", "q": "l + 12", "k": "q + 3", "j": "k + 11", "b": "j + 17", "g": 3}, "premises": {"g": 3}, "target": "w"}, "answer": {"steps": [["i", "m + 10", "m + 26"], ["m", "e + 17", "e + 43"], ["e", "a + 14", "a + 57"], ["a", "p + 15", "p + 72"], ["p", "g + 13", "g + 85"], ["g", 3, "88"]], "target_var_name": "w", "target_value": 88, "value_dict": {"g": 3}, "is_reverse": true}}
| 1,318
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = e + 17; a = p + 15; b = j + 17; i = m + 10; j = k + 11; w = i + 16; k = q + 3; p = g + 13; c = g + 7; l = c + 17; e = a + 14; q = l + 12; g = 3. If g = 3, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = m + 10 to w, which gives w = m + 26.\n2. Substitute m = e + 17 to w, which gives w = e + 43.\n3. Substitute e = a + 14 to w, which gives w = a + 57.\n4. Substitute a = p + 15 to w, which gives w = p + 72.\n5. Substitute p = g + 13 to w, which gives w = g + 85.\n6. Substitute g = 3 to w, which gives w = 88.\n\nThus, the final answer is w = \\boxed{88}.",
"index": 1318,
"question": "Consider a system of variables where each variable is defined as follows: m = e + 17; a = p + 15; b = j + 17; i = m + 10; j = k + 11; w = i + 16; k = q + 3; p = g + 13; c = g + 7; l = c + 17; e = a + 14; q = l + 12; g = 3. If g = 3, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"u": "m + 2", "p": "u + 15", "q": "p + 14", "c": "q + 15", "s": "c + 13", "x": "s + 6", "b": "m + 16", "l": "b + 19", "g": "l + 3", "v": "g + 1", "k": "v + 15", "y": "k + 6", "m": 18}, "premises": {"m": 18}, "target": "x"}, "answer": {"steps": [["s", "c + 13", "c + 19"], ["c", "q + 15", "q + 34"], ["q", "p + 14", "p + 48"], ["p", "u + 15", "u + 63"], ["u", "m + 2", "m + 65"], ["m", 18, "83"]], "target_var_name": "x", "target_value": 83, "value_dict": {"m": 18}, "is_reverse": true}}
| 1,319
| 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 + 6; s = c + 13; g = l + 3; y = k + 6; k = v + 15; u = m + 2; c = q + 15; p = u + 15; m = 18; l = b + 19; v = g + 1; q = p + 14; b = m + 16. If m = 18, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = c + 13 to x, which gives x = c + 19.\n2. Substitute c = q + 15 to x, which gives x = q + 34.\n3. Substitute q = p + 14 to x, which gives x = p + 48.\n4. Substitute p = u + 15 to x, which gives x = u + 63.\n5. Substitute u = m + 2 to x, which gives x = m + 65.\n6. Substitute m = 18 to x, which gives x = 83.\n\nThus, the final answer is x = \\boxed{83}.",
"index": 1319,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = s + 6; s = c + 13; g = l + 3; y = k + 6; k = v + 15; u = m + 2; c = q + 15; p = u + 15; m = 18; l = b + 19; v = g + 1; q = p + 14; b = m + 16. If m = 18, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"g": "c + 15", "t": "g + 12", "y": "t + 4", "v": "y + 16", "w": "v + 15", "k": "w + 5", "f": "c + 11", "b": "f + 15", "u": "b + 6", "i": "u + 17", "s": "i + 12", "l": "s + 5", "c": 13}, "premises": {"c": 13}, "target": "k"}, "answer": {"steps": [["w", "v + 15", "v + 20"], ["v", "y + 16", "y + 36"], ["y", "t + 4", "t + 40"], ["t", "g + 12", "g + 52"], ["g", "c + 15", "c + 67"], ["c", 13, "80"]], "target_var_name": "k", "target_value": 80, "value_dict": {"c": 13}, "is_reverse": true}}
| 1,320
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = c + 15; f = c + 11; i = u + 17; l = s + 5; u = b + 6; k = w + 5; y = t + 4; w = v + 15; t = g + 12; v = y + 16; s = i + 12; b = f + 15; c = 13. If c = 13, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = v + 15 to k, which gives k = v + 20.\n2. Substitute v = y + 16 to k, which gives k = y + 36.\n3. Substitute y = t + 4 to k, which gives k = t + 40.\n4. Substitute t = g + 12 to k, which gives k = g + 52.\n5. Substitute g = c + 15 to k, which gives k = c + 67.\n6. Substitute c = 13 to k, which gives k = 80.\n\nThus, the final answer is k = \\boxed{80}.",
"index": 1320,
"question": "Consider a system of variables where each variable is defined as follows: g = c + 15; f = c + 11; i = u + 17; l = s + 5; u = b + 6; k = w + 5; y = t + 4; w = v + 15; t = g + 12; v = y + 16; s = i + 12; b = f + 15; c = 13. If c = 13, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"n": "w + 13", "j": "n + 3", "e": "j + 1", "l": "e + 4", "h": "l + 2", "k": "h + 4", "s": "w + 14", "d": "s + 4", "a": "d + 16", "o": "a + 9", "z": "o + 4", "f": "z + 1", "w": 10}, "premises": {"w": 10}, "target": "k"}, "answer": {"steps": [["h", "l + 2", "l + 6"], ["l", "e + 4", "e + 10"], ["e", "j + 1", "j + 11"], ["j", "n + 3", "n + 14"], ["n", "w + 13", "w + 27"], ["w", 10, "37"]], "target_var_name": "k", "target_value": 37, "value_dict": {"w": 10}, "is_reverse": true}}
| 1,321
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = d + 16; f = z + 1; d = s + 4; w = 10; l = e + 4; j = n + 3; o = a + 9; z = o + 4; s = w + 14; n = w + 13; e = j + 1; h = l + 2; k = h + 4. If w = 10, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 37,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = l + 2 to k, which gives k = l + 6.\n2. Substitute l = e + 4 to k, which gives k = e + 10.\n3. Substitute e = j + 1 to k, which gives k = j + 11.\n4. Substitute j = n + 3 to k, which gives k = n + 14.\n5. Substitute n = w + 13 to k, which gives k = w + 27.\n6. Substitute w = 10 to k, which gives k = 37.\n\nThus, the final answer is k = \\boxed{37}.",
"index": 1321,
"question": "Consider a system of variables where each variable is defined as follows: a = d + 16; f = z + 1; d = s + 4; w = 10; l = e + 4; j = n + 3; o = a + 9; z = o + 4; s = w + 14; n = w + 13; e = j + 1; h = l + 2; k = h + 4. If w = 10, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"h": "l + 10", "d": "h + 6", "u": "d + 9", "k": "u + 19", "x": "k + 10", "b": "x + 17", "n": "l + 12", "m": "n + 16", "j": "m + 5", "a": "j + 19", "e": "a + 10", "r": "e + 15", "l": 7}, "premises": {"l": 7}, "target": "b"}, "answer": {"steps": [["x", "k + 10", "k + 27"], ["k", "u + 19", "u + 46"], ["u", "d + 9", "d + 55"], ["d", "h + 6", "h + 61"], ["h", "l + 10", "l + 71"], ["l", 7, "78"]], "target_var_name": "b", "target_value": 78, "value_dict": {"l": 7}, "is_reverse": true}}
| 1,322
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = m + 5; h = l + 10; u = d + 9; d = h + 6; r = e + 15; e = a + 10; k = u + 19; x = k + 10; l = 7; a = j + 19; b = x + 17; m = n + 16; n = l + 12. If l = 7, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = k + 10 to b, which gives b = k + 27.\n2. Substitute k = u + 19 to b, which gives b = u + 46.\n3. Substitute u = d + 9 to b, which gives b = d + 55.\n4. Substitute d = h + 6 to b, which gives b = h + 61.\n5. Substitute h = l + 10 to b, which gives b = l + 71.\n6. Substitute l = 7 to b, which gives b = 78.\n\nThus, the final answer is b = \\boxed{78}.",
"index": 1322,
"question": "Consider a system of variables where each variable is defined as follows: j = m + 5; h = l + 10; u = d + 9; d = h + 6; r = e + 15; e = a + 10; k = u + 19; x = k + 10; l = 7; a = j + 19; b = x + 17; m = n + 16; n = l + 12. If l = 7, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"d": "e + 12", "b": "d + 12", "n": "b + 10", "a": "n + 1", "k": "a + 8", "r": "k + 2", "m": "e + 9", "f": "m + 15", "g": "f + 11", "u": "g + 9", "c": "u + 4", "s": "c + 5", "e": 11}, "premises": {"e": 11}, "target": "r"}, "answer": {"steps": [["k", "a + 8", "a + 10"], ["a", "n + 1", "n + 11"], ["n", "b + 10", "b + 21"], ["b", "d + 12", "d + 33"], ["d", "e + 12", "e + 45"], ["e", 11, "56"]], "target_var_name": "r", "target_value": 56, "value_dict": {"e": 11}, "is_reverse": true}}
| 1,323
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = c + 5; b = d + 12; c = u + 4; k = a + 8; g = f + 11; e = 11; u = g + 9; n = b + 10; d = e + 12; f = m + 15; a = n + 1; m = e + 9; r = k + 2. Given that e = 11, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = a + 8 to r, which gives r = a + 10.\n2. Substitute a = n + 1 to r, which gives r = n + 11.\n3. Substitute n = b + 10 to r, which gives r = b + 21.\n4. Substitute b = d + 12 to r, which gives r = d + 33.\n5. Substitute d = e + 12 to r, which gives r = e + 45.\n6. Substitute e = 11 to r, which gives r = 56.\n\nThus, the final answer is r = \\boxed{56}.",
"index": 1323,
"question": "Suppose a collection of variables is related by the following definitions: s = c + 5; b = d + 12; c = u + 4; k = a + 8; g = f + 11; e = 11; u = g + 9; n = b + 10; d = e + 12; f = m + 15; a = n + 1; m = e + 9; r = k + 2. Given that e = 11, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"r": "a + 17", "h": "r + 20", "o": "h + 3", "f": "o + 14", "g": "f + 12", "k": "g + 3", "i": "a + 4", "x": "i + 17", "p": "x + 19", "l": "p + 1", "c": "l + 16", "t": "c + 8", "a": 20}, "premises": {"a": 20}, "target": "k"}, "answer": {"steps": [["g", "f + 12", "f + 15"], ["f", "o + 14", "o + 29"], ["o", "h + 3", "h + 32"], ["h", "r + 20", "r + 52"], ["r", "a + 17", "a + 69"], ["a", 20, "89"]], "target_var_name": "k", "target_value": 89, "value_dict": {"a": 20}, "is_reverse": true}}
| 1,324
| 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 = i + 17; k = g + 3; t = c + 8; o = h + 3; h = r + 20; g = f + 12; r = a + 17; c = l + 16; p = x + 19; i = a + 4; l = p + 1; f = o + 14; a = 20. If a = 20, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = f + 12 to k, which gives k = f + 15.\n2. Substitute f = o + 14 to k, which gives k = o + 29.\n3. Substitute o = h + 3 to k, which gives k = h + 32.\n4. Substitute h = r + 20 to k, which gives k = r + 52.\n5. Substitute r = a + 17 to k, which gives k = a + 69.\n6. Substitute a = 20 to k, which gives k = 89.\n\nThus, the final answer is k = \\boxed{89}.",
"index": 1324,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = i + 17; k = g + 3; t = c + 8; o = h + 3; h = r + 20; g = f + 12; r = a + 17; c = l + 16; p = x + 19; i = a + 4; l = p + 1; f = o + 14; a = 20. If a = 20, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"h": "d + 15", "u": "h + 15", "s": "u + 13", "o": "s + 3", "b": "o + 4", "x": "b + 9", "p": "d + 11", "a": "p + 19", "n": "a + 14", "g": "n + 5", "w": "g + 11", "v": "w + 18", "d": 13}, "premises": {"d": 13}, "target": "x"}, "answer": {"steps": [["b", "o + 4", "o + 13"], ["o", "s + 3", "s + 16"], ["s", "u + 13", "u + 29"], ["u", "h + 15", "h + 44"], ["h", "d + 15", "d + 59"], ["d", 13, "72"]], "target_var_name": "x", "target_value": 72, "value_dict": {"d": 13}, "is_reverse": true}}
| 1,325
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = d + 11; o = s + 3; b = o + 4; u = h + 15; a = p + 19; n = a + 14; v = w + 18; s = u + 13; h = d + 15; x = b + 9; d = 13; w = g + 11; g = n + 5. Given that d = 13, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = o + 4 to x, which gives x = o + 13.\n2. Substitute o = s + 3 to x, which gives x = s + 16.\n3. Substitute s = u + 13 to x, which gives x = u + 29.\n4. Substitute u = h + 15 to x, which gives x = h + 44.\n5. Substitute h = d + 15 to x, which gives x = d + 59.\n6. Substitute d = 13 to x, which gives x = 72.\n\nThus, the final answer is x = \\boxed{72}.",
"index": 1325,
"question": "Suppose a collection of variables is related by the following definitions: p = d + 11; o = s + 3; b = o + 4; u = h + 15; a = p + 19; n = a + 14; v = w + 18; s = u + 13; h = d + 15; x = b + 9; d = 13; w = g + 11; g = n + 5. Given that d = 13, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"t": "f + 13", "i": "t + 11", "j": "i + 3", "h": "j + 18", "y": "h + 1", "e": "y + 18", "l": "f + 9", "m": "l + 11", "z": "m + 20", "q": "z + 11", "k": "q + 4", "d": "k + 16", "f": 8}, "premises": {"f": 8}, "target": "e"}, "answer": {"steps": [["y", "h + 1", "h + 19"], ["h", "j + 18", "j + 37"], ["j", "i + 3", "i + 40"], ["i", "t + 11", "t + 51"], ["t", "f + 13", "f + 64"], ["f", 8, "72"]], "target_var_name": "e", "target_value": 72, "value_dict": {"f": 8}, "is_reverse": true}}
| 1,326
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = h + 1; k = q + 4; e = y + 18; d = k + 16; t = f + 13; j = i + 3; q = z + 11; i = t + 11; h = j + 18; f = 8; l = f + 9; z = m + 20; m = l + 11. If f = 8, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = h + 1 to e, which gives e = h + 19.\n2. Substitute h = j + 18 to e, which gives e = j + 37.\n3. Substitute j = i + 3 to e, which gives e = i + 40.\n4. Substitute i = t + 11 to e, which gives e = t + 51.\n5. Substitute t = f + 13 to e, which gives e = f + 64.\n6. Substitute f = 8 to e, which gives e = 72.\n\nThus, the final answer is e = \\boxed{72}.",
"index": 1326,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = h + 1; k = q + 4; e = y + 18; d = k + 16; t = f + 13; j = i + 3; q = z + 11; i = t + 11; h = j + 18; f = 8; l = f + 9; z = m + 20; m = l + 11. If f = 8, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"h": "m + 14", "j": "h + 17", "v": "j + 19", "d": "v + 2", "k": "d + 13", "i": "k + 19", "a": "m + 3", "l": "a + 1", "q": "l + 8", "y": "q + 13", "s": "y + 15", "o": "s + 7", "m": 13}, "premises": {"m": 13}, "target": "i"}, "answer": {"steps": [["k", "d + 13", "d + 32"], ["d", "v + 2", "v + 34"], ["v", "j + 19", "j + 53"], ["j", "h + 17", "h + 70"], ["h", "m + 14", "m + 84"], ["m", 13, "97"]], "target_var_name": "i", "target_value": 97, "value_dict": {"m": 13}, "is_reverse": true}}
| 1,327
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = l + 8; h = m + 14; v = j + 19; k = d + 13; d = v + 2; y = q + 13; m = 13; i = k + 19; o = s + 7; a = m + 3; j = h + 17; l = a + 1; s = y + 15. Given that m = 13, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 97,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = d + 13 to i, which gives i = d + 32.\n2. Substitute d = v + 2 to i, which gives i = v + 34.\n3. Substitute v = j + 19 to i, which gives i = j + 53.\n4. Substitute j = h + 17 to i, which gives i = h + 70.\n5. Substitute h = m + 14 to i, which gives i = m + 84.\n6. Substitute m = 13 to i, which gives i = 97.\n\nThus, the final answer is i = \\boxed{97}.",
"index": 1327,
"question": "Suppose a collection of variables is related by the following definitions: q = l + 8; h = m + 14; v = j + 19; k = d + 13; d = v + 2; y = q + 13; m = 13; i = k + 19; o = s + 7; a = m + 3; j = h + 17; l = a + 1; s = y + 15. Given that m = 13, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"y": "s + 6", "i": "y + 7", "b": "i + 19", "t": "b + 1", "u": "t + 13", "x": "u + 19", "e": "s + 2", "j": "e + 7", "c": "j + 13", "q": "c + 8", "l": "q + 5", "w": "l + 11", "s": 16}, "premises": {"s": 16}, "target": "x"}, "answer": {"steps": [["u", "t + 13", "t + 32"], ["t", "b + 1", "b + 33"], ["b", "i + 19", "i + 52"], ["i", "y + 7", "y + 59"], ["y", "s + 6", "s + 65"], ["s", 16, "81"]], "target_var_name": "x", "target_value": 81, "value_dict": {"s": 16}, "is_reverse": true}}
| 1,328
| 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 = c + 8; i = y + 7; j = e + 7; w = l + 11; c = j + 13; e = s + 2; u = t + 13; b = i + 19; l = q + 5; t = b + 1; s = 16; y = s + 6; x = u + 19. If s = 16, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = t + 13 to x, which gives x = t + 32.\n2. Substitute t = b + 1 to x, which gives x = b + 33.\n3. Substitute b = i + 19 to x, which gives x = i + 52.\n4. Substitute i = y + 7 to x, which gives x = y + 59.\n5. Substitute y = s + 6 to x, which gives x = s + 65.\n6. Substitute s = 16 to x, which gives x = 81.\n\nThus, the final answer is x = \\boxed{81}.",
"index": 1328,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = c + 8; i = y + 7; j = e + 7; w = l + 11; c = j + 13; e = s + 2; u = t + 13; b = i + 19; l = q + 5; t = b + 1; s = 16; y = s + 6; x = u + 19. If s = 16, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"x": "i + 12", "b": "x + 16", "f": "b + 14", "r": "f + 5", "o": "r + 10", "t": "o + 16", "w": "i + 7", "p": "w + 18", "g": "p + 20", "n": "g + 20", "q": "n + 7", "m": "q + 19", "i": 11}, "premises": {"i": 11}, "target": "t"}, "answer": {"steps": [["o", "r + 10", "r + 26"], ["r", "f + 5", "f + 31"], ["f", "b + 14", "b + 45"], ["b", "x + 16", "x + 61"], ["x", "i + 12", "i + 73"], ["i", 11, "84"]], "target_var_name": "t", "target_value": 84, "value_dict": {"i": 11}, "is_reverse": true}}
| 1,329
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = f + 5; p = w + 18; o = r + 10; w = i + 7; g = p + 20; b = x + 16; i = 11; x = i + 12; f = b + 14; n = g + 20; t = o + 16; m = q + 19; q = n + 7. Given that i = 11, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = r + 10 to t, which gives t = r + 26.\n2. Substitute r = f + 5 to t, which gives t = f + 31.\n3. Substitute f = b + 14 to t, which gives t = b + 45.\n4. Substitute b = x + 16 to t, which gives t = x + 61.\n5. Substitute x = i + 12 to t, which gives t = i + 73.\n6. Substitute i = 11 to t, which gives t = 84.\n\nThus, the final answer is t = \\boxed{84}.",
"index": 1329,
"question": "Suppose a collection of variables is related by the following definitions: r = f + 5; p = w + 18; o = r + 10; w = i + 7; g = p + 20; b = x + 16; i = 11; x = i + 12; f = b + 14; n = g + 20; t = o + 16; m = q + 19; q = n + 7. Given that i = 11, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"y": "k + 14", "d": "y + 13", "f": "d + 20", "r": "f + 16", "o": "r + 18", "l": "o + 9", "j": "k + 18", "i": "j + 3", "x": "i + 8", "q": "x + 2", "s": "q + 15", "b": "s + 3", "k": 14}, "premises": {"k": 14}, "target": "l"}, "answer": {"steps": [["o", "r + 18", "r + 27"], ["r", "f + 16", "f + 43"], ["f", "d + 20", "d + 63"], ["d", "y + 13", "y + 76"], ["y", "k + 14", "k + 90"], ["k", 14, "104"]], "target_var_name": "l", "target_value": 104, "value_dict": {"k": 14}, "is_reverse": true}}
| 1,330
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = r + 18; x = i + 8; i = j + 3; s = q + 15; d = y + 13; k = 14; q = x + 2; j = k + 18; l = o + 9; r = f + 16; f = d + 20; y = k + 14; b = s + 3. Given that k = 14, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 104,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = r + 18 to l, which gives l = r + 27.\n2. Substitute r = f + 16 to l, which gives l = f + 43.\n3. Substitute f = d + 20 to l, which gives l = d + 63.\n4. Substitute d = y + 13 to l, which gives l = y + 76.\n5. Substitute y = k + 14 to l, which gives l = k + 90.\n6. Substitute k = 14 to l, which gives l = 104.\n\nThus, the final answer is l = \\boxed{104}.",
"index": 1330,
"question": "Suppose a collection of variables is related by the following definitions: o = r + 18; x = i + 8; i = j + 3; s = q + 15; d = y + 13; k = 14; q = x + 2; j = k + 18; l = o + 9; r = f + 16; f = d + 20; y = k + 14; b = s + 3. Given that k = 14, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"j": "m + 16", "d": "j + 11", "n": "d + 17", "i": "n + 17", "k": "i + 20", "s": "k + 4", "g": "m + 9", "w": "g + 9", "a": "w + 18", "p": "a + 7", "y": "p + 8", "r": "y + 5", "m": 12}, "premises": {"m": 12}, "target": "s"}, "answer": {"steps": [["k", "i + 20", "i + 24"], ["i", "n + 17", "n + 41"], ["n", "d + 17", "d + 58"], ["d", "j + 11", "j + 69"], ["j", "m + 16", "m + 85"], ["m", 12, "97"]], "target_var_name": "s", "target_value": 97, "value_dict": {"m": 12}, "is_reverse": true}}
| 1,331
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = j + 11; k = i + 20; m = 12; n = d + 17; a = w + 18; p = a + 7; g = m + 9; r = y + 5; w = g + 9; i = n + 17; s = k + 4; j = m + 16; y = p + 8. Given that m = 12, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 97,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = i + 20 to s, which gives s = i + 24.\n2. Substitute i = n + 17 to s, which gives s = n + 41.\n3. Substitute n = d + 17 to s, which gives s = d + 58.\n4. Substitute d = j + 11 to s, which gives s = j + 69.\n5. Substitute j = m + 16 to s, which gives s = m + 85.\n6. Substitute m = 12 to s, which gives s = 97.\n\nThus, the final answer is s = \\boxed{97}.",
"index": 1331,
"question": "Suppose a collection of variables is related by the following definitions: d = j + 11; k = i + 20; m = 12; n = d + 17; a = w + 18; p = a + 7; g = m + 9; r = y + 5; w = g + 9; i = n + 17; s = k + 4; j = m + 16; y = p + 8. Given that m = 12, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"a": "e + 18", "n": "a + 7", "j": "n + 13", "m": "j + 1", "o": "m + 20", "x": "o + 6", "l": "e + 4", "g": "l + 15", "t": "g + 18", "h": "t + 4", "c": "h + 2", "p": "c + 18", "e": 17}, "premises": {"e": 17}, "target": "x"}, "answer": {"steps": [["o", "m + 20", "m + 26"], ["m", "j + 1", "j + 27"], ["j", "n + 13", "n + 40"], ["n", "a + 7", "a + 47"], ["a", "e + 18", "e + 65"], ["e", 17, "82"]], "target_var_name": "x", "target_value": 82, "value_dict": {"e": 17}, "is_reverse": true}}
| 1,332
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = c + 18; g = l + 15; m = j + 1; x = o + 6; n = a + 7; o = m + 20; a = e + 18; c = h + 2; e = 17; j = n + 13; l = e + 4; t = g + 18; h = t + 4. Given that e = 17, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = m + 20 to x, which gives x = m + 26.\n2. Substitute m = j + 1 to x, which gives x = j + 27.\n3. Substitute j = n + 13 to x, which gives x = n + 40.\n4. Substitute n = a + 7 to x, which gives x = a + 47.\n5. Substitute a = e + 18 to x, which gives x = e + 65.\n6. Substitute e = 17 to x, which gives x = 82.\n\nThus, the final answer is x = \\boxed{82}.",
"index": 1332,
"question": "Suppose a collection of variables is related by the following definitions: p = c + 18; g = l + 15; m = j + 1; x = o + 6; n = a + 7; o = m + 20; a = e + 18; c = h + 2; e = 17; j = n + 13; l = e + 4; t = g + 18; h = t + 4. Given that e = 17, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"u": "d + 20", "p": "u + 6", "l": "p + 12", "v": "l + 4", "t": "v + 12", "q": "t + 1", "k": "d + 13", "o": "k + 19", "b": "o + 18", "s": "b + 10", "f": "s + 18", "m": "f + 4", "d": 18}, "premises": {"d": 18}, "target": "q"}, "answer": {"steps": [["t", "v + 12", "v + 13"], ["v", "l + 4", "l + 17"], ["l", "p + 12", "p + 29"], ["p", "u + 6", "u + 35"], ["u", "d + 20", "d + 55"], ["d", 18, "73"]], "target_var_name": "q", "target_value": 73, "value_dict": {"d": 18}, "is_reverse": true}}
| 1,333
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = p + 12; u = d + 20; k = d + 13; b = o + 18; v = l + 4; s = b + 10; f = s + 18; t = v + 12; d = 18; m = f + 4; p = u + 6; o = k + 19; q = t + 1. If d = 18, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = v + 12 to q, which gives q = v + 13.\n2. Substitute v = l + 4 to q, which gives q = l + 17.\n3. Substitute l = p + 12 to q, which gives q = p + 29.\n4. Substitute p = u + 6 to q, which gives q = u + 35.\n5. Substitute u = d + 20 to q, which gives q = d + 55.\n6. Substitute d = 18 to q, which gives q = 73.\n\nThus, the final answer is q = \\boxed{73}.",
"index": 1333,
"question": "Consider a system of variables where each variable is defined as follows: l = p + 12; u = d + 20; k = d + 13; b = o + 18; v = l + 4; s = b + 10; f = s + 18; t = v + 12; d = 18; m = f + 4; p = u + 6; o = k + 19; q = t + 1. If d = 18, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"z": "y + 4", "v": "z + 19", "t": "v + 8", "u": "t + 14", "m": "u + 14", "e": "m + 3", "n": "y + 3", "x": "n + 19", "p": "x + 11", "g": "p + 1", "i": "g + 8", "r": "i + 10", "y": 18}, "premises": {"y": 18}, "target": "e"}, "answer": {"steps": [["m", "u + 14", "u + 17"], ["u", "t + 14", "t + 31"], ["t", "v + 8", "v + 39"], ["v", "z + 19", "z + 58"], ["z", "y + 4", "y + 62"], ["y", 18, "80"]], "target_var_name": "e", "target_value": 80, "value_dict": {"y": 18}, "is_reverse": true}}
| 1,334
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = u + 14; e = m + 3; t = v + 8; v = z + 19; y = 18; g = p + 1; x = n + 19; n = y + 3; i = g + 8; r = i + 10; z = y + 4; u = t + 14; p = x + 11. Given that y = 18, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = u + 14 to e, which gives e = u + 17.\n2. Substitute u = t + 14 to e, which gives e = t + 31.\n3. Substitute t = v + 8 to e, which gives e = v + 39.\n4. Substitute v = z + 19 to e, which gives e = z + 58.\n5. Substitute z = y + 4 to e, which gives e = y + 62.\n6. Substitute y = 18 to e, which gives e = 80.\n\nThus, the final answer is e = \\boxed{80}.",
"index": 1334,
"question": "Suppose a collection of variables is related by the following definitions: m = u + 14; e = m + 3; t = v + 8; v = z + 19; y = 18; g = p + 1; x = n + 19; n = y + 3; i = g + 8; r = i + 10; z = y + 4; u = t + 14; p = x + 11. Given that y = 18, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"s": "q + 18", "h": "s + 16", "l": "h + 1", "z": "l + 8", "e": "z + 19", "d": "e + 18", "y": "q + 15", "c": "y + 10", "m": "c + 9", "a": "m + 12", "w": "a + 6", "v": "w + 16", "q": 14}, "premises": {"q": 14}, "target": "d"}, "answer": {"steps": [["e", "z + 19", "z + 37"], ["z", "l + 8", "l + 45"], ["l", "h + 1", "h + 46"], ["h", "s + 16", "s + 62"], ["s", "q + 18", "q + 80"], ["q", 14, "94"]], "target_var_name": "d", "target_value": 94, "value_dict": {"q": 14}, "is_reverse": true}}
| 1,335
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = a + 6; d = e + 18; s = q + 18; q = 14; y = q + 15; z = l + 8; h = s + 16; c = y + 10; e = z + 19; l = h + 1; m = c + 9; v = w + 16; a = m + 12. If q = 14, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = z + 19 to d, which gives d = z + 37.\n2. Substitute z = l + 8 to d, which gives d = l + 45.\n3. Substitute l = h + 1 to d, which gives d = h + 46.\n4. Substitute h = s + 16 to d, which gives d = s + 62.\n5. Substitute s = q + 18 to d, which gives d = q + 80.\n6. Substitute q = 14 to d, which gives d = 94.\n\nThus, the final answer is d = \\boxed{94}.",
"index": 1335,
"question": "Consider a system of variables where each variable is defined as follows: w = a + 6; d = e + 18; s = q + 18; q = 14; y = q + 15; z = l + 8; h = s + 16; c = y + 10; e = z + 19; l = h + 1; m = c + 9; v = w + 16; a = m + 12. If q = 14, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"f": "t + 18", "m": "f + 11", "p": "m + 3", "o": "p + 12", "g": "o + 9", "a": "g + 7", "k": "t + 17", "r": "k + 1", "b": "r + 4", "j": "b + 5", "s": "j + 3", "x": "s + 20", "t": 8}, "premises": {"t": 8}, "target": "a"}, "answer": {"steps": [["g", "o + 9", "o + 16"], ["o", "p + 12", "p + 28"], ["p", "m + 3", "m + 31"], ["m", "f + 11", "f + 42"], ["f", "t + 18", "t + 60"], ["t", 8, "68"]], "target_var_name": "a", "target_value": 68, "value_dict": {"t": 8}, "is_reverse": true}}
| 1,336
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = p + 12; s = j + 3; j = b + 5; b = r + 4; m = f + 11; g = o + 9; t = 8; x = s + 20; p = m + 3; r = k + 1; f = t + 18; a = g + 7; k = t + 17. If t = 8, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = o + 9 to a, which gives a = o + 16.\n2. Substitute o = p + 12 to a, which gives a = p + 28.\n3. Substitute p = m + 3 to a, which gives a = m + 31.\n4. Substitute m = f + 11 to a, which gives a = f + 42.\n5. Substitute f = t + 18 to a, which gives a = t + 60.\n6. Substitute t = 8 to a, which gives a = 68.\n\nThus, the final answer is a = \\boxed{68}.",
"index": 1336,
"question": "Consider a system of variables where each variable is defined as follows: o = p + 12; s = j + 3; j = b + 5; b = r + 4; m = f + 11; g = o + 9; t = 8; x = s + 20; p = m + 3; r = k + 1; f = t + 18; a = g + 7; k = t + 17. If t = 8, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"g": "u + 14", "p": "g + 20", "r": "p + 3", "e": "r + 2", "q": "e + 5", "f": "q + 19", "s": "u + 19", "y": "s + 18", "i": "y + 6", "b": "i + 19", "t": "b + 8", "m": "t + 8", "u": 4}, "premises": {"u": 4}, "target": "f"}, "answer": {"steps": [["q", "e + 5", "e + 24"], ["e", "r + 2", "r + 26"], ["r", "p + 3", "p + 29"], ["p", "g + 20", "g + 49"], ["g", "u + 14", "u + 63"], ["u", 4, "67"]], "target_var_name": "f", "target_value": 67, "value_dict": {"u": 4}, "is_reverse": true}}
| 1,337
| 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 = u + 14; y = s + 18; m = t + 8; e = r + 2; u = 4; r = p + 3; t = b + 8; s = u + 19; p = g + 20; b = i + 19; f = q + 19; i = y + 6; q = e + 5. If u = 4, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = e + 5 to f, which gives f = e + 24.\n2. Substitute e = r + 2 to f, which gives f = r + 26.\n3. Substitute r = p + 3 to f, which gives f = p + 29.\n4. Substitute p = g + 20 to f, which gives f = g + 49.\n5. Substitute g = u + 14 to f, which gives f = u + 63.\n6. Substitute u = 4 to f, which gives f = 67.\n\nThus, the final answer is f = \\boxed{67}.",
"index": 1337,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = u + 14; y = s + 18; m = t + 8; e = r + 2; u = 4; r = p + 3; t = b + 8; s = u + 19; p = g + 20; b = i + 19; f = q + 19; i = y + 6; q = e + 5. If u = 4, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"c": "o + 3", "z": "c + 1", "k": "z + 1", "n": "k + 2", "e": "n + 17", "r": "e + 16", "p": "o + 5", "s": "p + 9", "b": "s + 18", "u": "b + 18", "w": "u + 6", "g": "w + 1", "o": 9}, "premises": {"o": 9}, "target": "r"}, "answer": {"steps": [["e", "n + 17", "n + 33"], ["n", "k + 2", "k + 35"], ["k", "z + 1", "z + 36"], ["z", "c + 1", "c + 37"], ["c", "o + 3", "o + 40"], ["o", 9, "49"]], "target_var_name": "r", "target_value": 49, "value_dict": {"o": 9}, "is_reverse": true}}
| 1,338
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = s + 18; u = b + 18; k = z + 1; g = w + 1; n = k + 2; z = c + 1; r = e + 16; c = o + 3; w = u + 6; e = n + 17; o = 9; s = p + 9; p = o + 5. If o = 9, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = n + 17 to r, which gives r = n + 33.\n2. Substitute n = k + 2 to r, which gives r = k + 35.\n3. Substitute k = z + 1 to r, which gives r = z + 36.\n4. Substitute z = c + 1 to r, which gives r = c + 37.\n5. Substitute c = o + 3 to r, which gives r = o + 40.\n6. Substitute o = 9 to r, which gives r = 49.\n\nThus, the final answer is r = \\boxed{49}.",
"index": 1338,
"question": "Consider a system of variables where each variable is defined as follows: b = s + 18; u = b + 18; k = z + 1; g = w + 1; n = k + 2; z = c + 1; r = e + 16; c = o + 3; w = u + 6; e = n + 17; o = 9; s = p + 9; p = o + 5. If o = 9, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"p": "n + 14", "u": "p + 18", "a": "u + 19", "i": "a + 1", "f": "i + 7", "l": "f + 4", "d": "n + 17", "k": "d + 6", "w": "k + 4", "v": "w + 8", "b": "v + 3", "c": "b + 11", "n": 16}, "premises": {"n": 16}, "target": "l"}, "answer": {"steps": [["f", "i + 7", "i + 11"], ["i", "a + 1", "a + 12"], ["a", "u + 19", "u + 31"], ["u", "p + 18", "p + 49"], ["p", "n + 14", "n + 63"], ["n", 16, "79"]], "target_var_name": "l", "target_value": 79, "value_dict": {"n": 16}, "is_reverse": true}}
| 1,339
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = i + 7; k = d + 6; d = n + 17; a = u + 19; n = 16; i = a + 1; v = w + 8; c = b + 11; p = n + 14; b = v + 3; l = f + 4; w = k + 4; u = p + 18. Given that n = 16, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = i + 7 to l, which gives l = i + 11.\n2. Substitute i = a + 1 to l, which gives l = a + 12.\n3. Substitute a = u + 19 to l, which gives l = u + 31.\n4. Substitute u = p + 18 to l, which gives l = p + 49.\n5. Substitute p = n + 14 to l, which gives l = n + 63.\n6. Substitute n = 16 to l, which gives l = 79.\n\nThus, the final answer is l = \\boxed{79}.",
"index": 1339,
"question": "Suppose a collection of variables is related by the following definitions: f = i + 7; k = d + 6; d = n + 17; a = u + 19; n = 16; i = a + 1; v = w + 8; c = b + 11; p = n + 14; b = v + 3; l = f + 4; w = k + 4; u = p + 18. Given that n = 16, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"q": "b + 10", "z": "q + 1", "f": "z + 8", "r": "f + 11", "m": "r + 5", "h": "m + 4", "u": "b + 7", "v": "u + 17", "p": "v + 19", "t": "p + 2", "d": "t + 6", "a": "d + 9", "b": 13}, "premises": {"b": 13}, "target": "h"}, "answer": {"steps": [["m", "r + 5", "r + 9"], ["r", "f + 11", "f + 20"], ["f", "z + 8", "z + 28"], ["z", "q + 1", "q + 29"], ["q", "b + 10", "b + 39"], ["b", 13, "52"]], "target_var_name": "h", "target_value": 52, "value_dict": {"b": 13}, "is_reverse": true}}
| 1,340
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = p + 2; f = z + 8; b = 13; z = q + 1; q = b + 10; v = u + 17; u = b + 7; m = r + 5; p = v + 19; r = f + 11; a = d + 9; d = t + 6; h = m + 4. If b = 13, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 52,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = r + 5 to h, which gives h = r + 9.\n2. Substitute r = f + 11 to h, which gives h = f + 20.\n3. Substitute f = z + 8 to h, which gives h = z + 28.\n4. Substitute z = q + 1 to h, which gives h = q + 29.\n5. Substitute q = b + 10 to h, which gives h = b + 39.\n6. Substitute b = 13 to h, which gives h = 52.\n\nThus, the final answer is h = \\boxed{52}.",
"index": 1340,
"question": "Consider a system of variables where each variable is defined as follows: t = p + 2; f = z + 8; b = 13; z = q + 1; q = b + 10; v = u + 17; u = b + 7; m = r + 5; p = v + 19; r = f + 11; a = d + 9; d = t + 6; h = m + 4. If b = 13, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"p": "y + 17", "s": "p + 8", "n": "s + 19", "g": "n + 13", "w": "g + 15", "o": "w + 3", "j": "y + 3", "u": "j + 19", "l": "u + 1", "m": "l + 13", "f": "m + 10", "q": "f + 5", "y": 4}, "premises": {"y": 4}, "target": "o"}, "answer": {"steps": [["w", "g + 15", "g + 18"], ["g", "n + 13", "n + 31"], ["n", "s + 19", "s + 50"], ["s", "p + 8", "p + 58"], ["p", "y + 17", "y + 75"], ["y", 4, "79"]], "target_var_name": "o", "target_value": 79, "value_dict": {"y": 4}, "is_reverse": true}}
| 1,341
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = f + 5; g = n + 13; y = 4; o = w + 3; u = j + 19; j = y + 3; w = g + 15; m = l + 13; n = s + 19; l = u + 1; p = y + 17; s = p + 8; f = m + 10. If y = 4, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = g + 15 to o, which gives o = g + 18.\n2. Substitute g = n + 13 to o, which gives o = n + 31.\n3. Substitute n = s + 19 to o, which gives o = s + 50.\n4. Substitute s = p + 8 to o, which gives o = p + 58.\n5. Substitute p = y + 17 to o, which gives o = y + 75.\n6. Substitute y = 4 to o, which gives o = 79.\n\nThus, the final answer is o = \\boxed{79}.",
"index": 1341,
"question": "Consider a system of variables where each variable is defined as follows: q = f + 5; g = n + 13; y = 4; o = w + 3; u = j + 19; j = y + 3; w = g + 15; m = l + 13; n = s + 19; l = u + 1; p = y + 17; s = p + 8; f = m + 10. If y = 4, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"h": "c + 12", "y": "h + 2", "p": "y + 3", "e": "p + 16", "a": "e + 6", "t": "a + 12", "w": "c + 1", "z": "w + 17", "s": "z + 12", "l": "s + 4", "g": "l + 18", "n": "g + 5", "c": 14}, "premises": {"c": 14}, "target": "t"}, "answer": {"steps": [["a", "e + 6", "e + 18"], ["e", "p + 16", "p + 34"], ["p", "y + 3", "y + 37"], ["y", "h + 2", "h + 39"], ["h", "c + 12", "c + 51"], ["c", 14, "65"]], "target_var_name": "t", "target_value": 65, "value_dict": {"c": 14}, "is_reverse": true}}
| 1,342
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = z + 12; c = 14; t = a + 12; p = y + 3; e = p + 16; n = g + 5; a = e + 6; y = h + 2; h = c + 12; g = l + 18; z = w + 17; w = c + 1; l = s + 4. If c = 14, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = e + 6 to t, which gives t = e + 18.\n2. Substitute e = p + 16 to t, which gives t = p + 34.\n3. Substitute p = y + 3 to t, which gives t = y + 37.\n4. Substitute y = h + 2 to t, which gives t = h + 39.\n5. Substitute h = c + 12 to t, which gives t = c + 51.\n6. Substitute c = 14 to t, which gives t = 65.\n\nThus, the final answer is t = \\boxed{65}.",
"index": 1342,
"question": "Consider a system of variables where each variable is defined as follows: s = z + 12; c = 14; t = a + 12; p = y + 3; e = p + 16; n = g + 5; a = e + 6; y = h + 2; h = c + 12; g = l + 18; z = w + 17; w = c + 1; l = s + 4. If c = 14, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"p": "m + 6", "n": "p + 9", "d": "n + 10", "k": "d + 5", "a": "k + 19", "g": "a + 2", "c": "m + 17", "i": "c + 14", "y": "i + 4", "h": "y + 4", "b": "h + 20", "t": "b + 10", "m": 3}, "premises": {"m": 3}, "target": "g"}, "answer": {"steps": [["a", "k + 19", "k + 21"], ["k", "d + 5", "d + 26"], ["d", "n + 10", "n + 36"], ["n", "p + 9", "p + 45"], ["p", "m + 6", "m + 51"], ["m", 3, "54"]], "target_var_name": "g", "target_value": 54, "value_dict": {"m": 3}, "is_reverse": true}}
| 1,343
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = d + 5; h = y + 4; y = i + 4; a = k + 19; g = a + 2; b = h + 20; c = m + 17; n = p + 9; m = 3; d = n + 10; t = b + 10; p = m + 6; i = c + 14. If m = 3, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = k + 19 to g, which gives g = k + 21.\n2. Substitute k = d + 5 to g, which gives g = d + 26.\n3. Substitute d = n + 10 to g, which gives g = n + 36.\n4. Substitute n = p + 9 to g, which gives g = p + 45.\n5. Substitute p = m + 6 to g, which gives g = m + 51.\n6. Substitute m = 3 to g, which gives g = 54.\n\nThus, the final answer is g = \\boxed{54}.",
"index": 1343,
"question": "Consider a system of variables where each variable is defined as follows: k = d + 5; h = y + 4; y = i + 4; a = k + 19; g = a + 2; b = h + 20; c = m + 17; n = p + 9; m = 3; d = n + 10; t = b + 10; p = m + 6; i = c + 14. If m = 3, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"g": "r + 15", "o": "g + 19", "p": "o + 15", "w": "p + 17", "e": "w + 5", "q": "e + 11", "a": "r + 11", "h": "a + 12", "l": "h + 13", "t": "l + 8", "n": "t + 18", "s": "n + 11", "r": 8}, "premises": {"r": 8}, "target": "q"}, "answer": {"steps": [["e", "w + 5", "w + 16"], ["w", "p + 17", "p + 33"], ["p", "o + 15", "o + 48"], ["o", "g + 19", "g + 67"], ["g", "r + 15", "r + 82"], ["r", 8, "90"]], "target_var_name": "q", "target_value": 90, "value_dict": {"r": 8}, "is_reverse": true}}
| 1,344
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = w + 5; a = r + 11; t = l + 8; q = e + 11; n = t + 18; g = r + 15; o = g + 19; p = o + 15; s = n + 11; w = p + 17; l = h + 13; r = 8; h = a + 12. If r = 8, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = w + 5 to q, which gives q = w + 16.\n2. Substitute w = p + 17 to q, which gives q = p + 33.\n3. Substitute p = o + 15 to q, which gives q = o + 48.\n4. Substitute o = g + 19 to q, which gives q = g + 67.\n5. Substitute g = r + 15 to q, which gives q = r + 82.\n6. Substitute r = 8 to q, which gives q = 90.\n\nThus, the final answer is q = \\boxed{90}.",
"index": 1344,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = w + 5; a = r + 11; t = l + 8; q = e + 11; n = t + 18; g = r + 15; o = g + 19; p = o + 15; s = n + 11; w = p + 17; l = h + 13; r = 8; h = a + 12. If r = 8, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"s": "y + 8", "n": "s + 15", "w": "n + 10", "z": "w + 20", "h": "z + 4", "l": "h + 19", "m": "y + 1", "v": "m + 4", "c": "v + 18", "p": "c + 9", "f": "p + 2", "o": "f + 7", "y": 10}, "premises": {"y": 10}, "target": "l"}, "answer": {"steps": [["h", "z + 4", "z + 23"], ["z", "w + 20", "w + 43"], ["w", "n + 10", "n + 53"], ["n", "s + 15", "s + 68"], ["s", "y + 8", "y + 76"], ["y", 10, "86"]], "target_var_name": "l", "target_value": 86, "value_dict": {"y": 10}, "is_reverse": true}}
| 1,345
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = v + 18; s = y + 8; o = f + 7; m = y + 1; n = s + 15; z = w + 20; p = c + 9; v = m + 4; w = n + 10; f = p + 2; l = h + 19; y = 10; h = z + 4. If y = 10, determine the 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 h = z + 4 to l, which gives l = z + 23.\n2. Substitute z = w + 20 to l, which gives l = w + 43.\n3. Substitute w = n + 10 to l, which gives l = n + 53.\n4. Substitute n = s + 15 to l, which gives l = s + 68.\n5. Substitute s = y + 8 to l, which gives l = y + 76.\n6. Substitute y = 10 to l, which gives l = 86.\n\nThus, the final answer is l = \\boxed{86}.",
"index": 1345,
"question": "Consider a system of variables where each variable is defined as follows: c = v + 18; s = y + 8; o = f + 7; m = y + 1; n = s + 15; z = w + 20; p = c + 9; v = m + 4; w = n + 10; f = p + 2; l = h + 19; y = 10; h = z + 4. If y = 10, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"j": "k + 6", "n": "j + 2", "c": "n + 4", "v": "c + 4", "g": "v + 11", "e": "g + 15", "t": "k + 4", "m": "t + 19", "d": "m + 20", "z": "d + 18", "b": "z + 19", "h": "b + 15", "k": 18}, "premises": {"k": 18}, "target": "e"}, "answer": {"steps": [["g", "v + 11", "v + 26"], ["v", "c + 4", "c + 30"], ["c", "n + 4", "n + 34"], ["n", "j + 2", "j + 36"], ["j", "k + 6", "k + 42"], ["k", 18, "60"]], "target_var_name": "e", "target_value": 60, "value_dict": {"k": 18}, "is_reverse": true}}
| 1,346
| 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 = k + 6; t = k + 4; k = 18; d = m + 20; z = d + 18; b = z + 19; c = n + 4; g = v + 11; v = c + 4; e = g + 15; h = b + 15; m = t + 19; n = j + 2. If k = 18, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = v + 11 to e, which gives e = v + 26.\n2. Substitute v = c + 4 to e, which gives e = c + 30.\n3. Substitute c = n + 4 to e, which gives e = n + 34.\n4. Substitute n = j + 2 to e, which gives e = j + 36.\n5. Substitute j = k + 6 to e, which gives e = k + 42.\n6. Substitute k = 18 to e, which gives e = 60.\n\nThus, the final answer is e = \\boxed{60}.",
"index": 1346,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = k + 6; t = k + 4; k = 18; d = m + 20; z = d + 18; b = z + 19; c = n + 4; g = v + 11; v = c + 4; e = g + 15; h = b + 15; m = t + 19; n = j + 2. If k = 18, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"j": "w + 16", "t": "j + 3", "i": "t + 6", "e": "i + 9", "b": "e + 1", "x": "b + 5", "p": "w + 15", "a": "p + 14", "n": "a + 20", "d": "n + 20", "l": "d + 2", "s": "l + 12", "w": 9}, "premises": {"w": 9}, "target": "x"}, "answer": {"steps": [["b", "e + 1", "e + 6"], ["e", "i + 9", "i + 15"], ["i", "t + 6", "t + 21"], ["t", "j + 3", "j + 24"], ["j", "w + 16", "w + 40"], ["w", 9, "49"]], "target_var_name": "x", "target_value": 49, "value_dict": {"w": 9}, "is_reverse": true}}
| 1,347
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = l + 12; d = n + 20; w = 9; p = w + 15; t = j + 3; b = e + 1; x = b + 5; l = d + 2; a = p + 14; n = a + 20; i = t + 6; e = i + 9; j = w + 16. If w = 9, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = e + 1 to x, which gives x = e + 6.\n2. Substitute e = i + 9 to x, which gives x = i + 15.\n3. Substitute i = t + 6 to x, which gives x = t + 21.\n4. Substitute t = j + 3 to x, which gives x = j + 24.\n5. Substitute j = w + 16 to x, which gives x = w + 40.\n6. Substitute w = 9 to x, which gives x = 49.\n\nThus, the final answer is x = \\boxed{49}.",
"index": 1347,
"question": "Consider a system of variables where each variable is defined as follows: s = l + 12; d = n + 20; w = 9; p = w + 15; t = j + 3; b = e + 1; x = b + 5; l = d + 2; a = p + 14; n = a + 20; i = t + 6; e = i + 9; j = w + 16. If w = 9, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"z": "m + 5", "s": "z + 7", "w": "s + 19", "f": "w + 10", "j": "f + 12", "d": "j + 6", "h": "m + 8", "c": "h + 4", "k": "c + 13", "a": "k + 17", "x": "a + 17", "y": "x + 11", "m": 15}, "premises": {"m": 15}, "target": "d"}, "answer": {"steps": [["j", "f + 12", "f + 18"], ["f", "w + 10", "w + 28"], ["w", "s + 19", "s + 47"], ["s", "z + 7", "z + 54"], ["z", "m + 5", "m + 59"], ["m", 15, "74"]], "target_var_name": "d", "target_value": 74, "value_dict": {"m": 15}, "is_reverse": true}}
| 1,348
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = 15; d = j + 6; s = z + 7; w = s + 19; j = f + 12; c = h + 4; x = a + 17; z = m + 5; f = w + 10; y = x + 11; a = k + 17; k = c + 13; h = m + 8. If m = 15, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = f + 12 to d, which gives d = f + 18.\n2. Substitute f = w + 10 to d, which gives d = w + 28.\n3. Substitute w = s + 19 to d, which gives d = s + 47.\n4. Substitute s = z + 7 to d, which gives d = z + 54.\n5. Substitute z = m + 5 to d, which gives d = m + 59.\n6. Substitute m = 15 to d, which gives d = 74.\n\nThus, the final answer is d = \\boxed{74}.",
"index": 1348,
"question": "Consider a system of variables where each variable is defined as follows: m = 15; d = j + 6; s = z + 7; w = s + 19; j = f + 12; c = h + 4; x = a + 17; z = m + 5; f = w + 10; y = x + 11; a = k + 17; k = c + 13; h = m + 8. If m = 15, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"s": "e + 18", "g": "s + 9", "z": "g + 14", "a": "z + 18", "p": "a + 3", "u": "p + 1", "l": "e + 16", "x": "l + 14", "w": "x + 2", "t": "w + 19", "o": "t + 8", "c": "o + 19", "e": 10}, "premises": {"e": 10}, "target": "u"}, "answer": {"steps": [["p", "a + 3", "a + 4"], ["a", "z + 18", "z + 22"], ["z", "g + 14", "g + 36"], ["g", "s + 9", "s + 45"], ["s", "e + 18", "e + 63"], ["e", 10, "73"]], "target_var_name": "u", "target_value": 73, "value_dict": {"e": 10}, "is_reverse": true}}
| 1,349
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = e + 18; z = g + 14; u = p + 1; w = x + 2; g = s + 9; e = 10; x = l + 14; p = a + 3; o = t + 8; c = o + 19; t = w + 19; l = e + 16; a = z + 18. If e = 10, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = a + 3 to u, which gives u = a + 4.\n2. Substitute a = z + 18 to u, which gives u = z + 22.\n3. Substitute z = g + 14 to u, which gives u = g + 36.\n4. Substitute g = s + 9 to u, which gives u = s + 45.\n5. Substitute s = e + 18 to u, which gives u = e + 63.\n6. Substitute e = 10 to u, which gives u = 73.\n\nThus, the final answer is u = \\boxed{73}.",
"index": 1349,
"question": "Consider a system of variables where each variable is defined as follows: s = e + 18; z = g + 14; u = p + 1; w = x + 2; g = s + 9; e = 10; x = l + 14; p = a + 3; o = t + 8; c = o + 19; t = w + 19; l = e + 16; a = z + 18. If e = 10, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"d": "y + 6", "x": "d + 19", "o": "x + 4", "u": "o + 13", "f": "u + 15", "e": "f + 4", "r": "y + 10", "z": "r + 1", "v": "z + 17", "g": "v + 6", "b": "g + 16", "t": "b + 1", "y": 16}, "premises": {"y": 16}, "target": "e"}, "answer": {"steps": [["f", "u + 15", "u + 19"], ["u", "o + 13", "o + 32"], ["o", "x + 4", "x + 36"], ["x", "d + 19", "d + 55"], ["d", "y + 6", "y + 61"], ["y", 16, "77"]], "target_var_name": "e", "target_value": 77, "value_dict": {"y": 16}, "is_reverse": true}}
| 1,350
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = o + 13; o = x + 4; t = b + 1; x = d + 19; y = 16; v = z + 17; r = y + 10; f = u + 15; b = g + 16; e = f + 4; z = r + 1; g = v + 6; d = y + 6. If y = 16, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = u + 15 to e, which gives e = u + 19.\n2. Substitute u = o + 13 to e, which gives e = o + 32.\n3. Substitute o = x + 4 to e, which gives e = x + 36.\n4. Substitute x = d + 19 to e, which gives e = d + 55.\n5. Substitute d = y + 6 to e, which gives e = y + 61.\n6. Substitute y = 16 to e, which gives e = 77.\n\nThus, the final answer is e = \\boxed{77}.",
"index": 1350,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = o + 13; o = x + 4; t = b + 1; x = d + 19; y = 16; v = z + 17; r = y + 10; f = u + 15; b = g + 16; e = f + 4; z = r + 1; g = v + 6; d = y + 6. If y = 16, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"c": "n + 14", "b": "c + 12", "z": "b + 3", "q": "z + 12", "f": "q + 5", "i": "f + 11", "h": "n + 3", "e": "h + 2", "o": "e + 3", "g": "o + 9", "s": "g + 19", "y": "s + 15", "n": 2}, "premises": {"n": 2}, "target": "i"}, "answer": {"steps": [["f", "q + 5", "q + 16"], ["q", "z + 12", "z + 28"], ["z", "b + 3", "b + 31"], ["b", "c + 12", "c + 43"], ["c", "n + 14", "n + 57"], ["n", 2, "59"]], "target_var_name": "i", "target_value": 59, "value_dict": {"n": 2}, "is_reverse": true}}
| 1,351
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = n + 14; h = n + 3; s = g + 19; o = e + 3; n = 2; y = s + 15; e = h + 2; g = o + 9; z = b + 3; f = q + 5; q = z + 12; i = f + 11; b = c + 12. If n = 2, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = q + 5 to i, which gives i = q + 16.\n2. Substitute q = z + 12 to i, which gives i = z + 28.\n3. Substitute z = b + 3 to i, which gives i = b + 31.\n4. Substitute b = c + 12 to i, which gives i = c + 43.\n5. Substitute c = n + 14 to i, which gives i = n + 57.\n6. Substitute n = 2 to i, which gives i = 59.\n\nThus, the final answer is i = \\boxed{59}.",
"index": 1351,
"question": "Consider a system of variables where each variable is defined as follows: c = n + 14; h = n + 3; s = g + 19; o = e + 3; n = 2; y = s + 15; e = h + 2; g = o + 9; z = b + 3; f = q + 5; q = z + 12; i = f + 11; b = c + 12. If n = 2, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"e": "s + 15", "h": "e + 3", "f": "h + 15", "k": "f + 18", "v": "k + 1", "a": "v + 5", "q": "s + 6", "l": "q + 17", "u": "l + 7", "r": "u + 13", "n": "r + 19", "y": "n + 9", "s": 18}, "premises": {"s": 18}, "target": "a"}, "answer": {"steps": [["v", "k + 1", "k + 6"], ["k", "f + 18", "f + 24"], ["f", "h + 15", "h + 39"], ["h", "e + 3", "e + 42"], ["e", "s + 15", "s + 57"], ["s", 18, "75"]], "target_var_name": "a", "target_value": 75, "value_dict": {"s": 18}, "is_reverse": true}}
| 1,352
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = n + 9; r = u + 13; u = l + 7; s = 18; k = f + 18; v = k + 1; e = s + 15; n = r + 19; h = e + 3; f = h + 15; a = v + 5; q = s + 6; l = q + 17. Given that s = 18, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = k + 1 to a, which gives a = k + 6.\n2. Substitute k = f + 18 to a, which gives a = f + 24.\n3. Substitute f = h + 15 to a, which gives a = h + 39.\n4. Substitute h = e + 3 to a, which gives a = e + 42.\n5. Substitute e = s + 15 to a, which gives a = s + 57.\n6. Substitute s = 18 to a, which gives a = 75.\n\nThus, the final answer is a = \\boxed{75}.",
"index": 1352,
"question": "Suppose a collection of variables is related by the following definitions: y = n + 9; r = u + 13; u = l + 7; s = 18; k = f + 18; v = k + 1; e = s + 15; n = r + 19; h = e + 3; f = h + 15; a = v + 5; q = s + 6; l = q + 17. Given that s = 18, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"a": "l + 17", "w": "a + 6", "q": "w + 18", "m": "q + 14", "v": "m + 19", "o": "v + 3", "k": "l + 8", "p": "k + 7", "h": "p + 17", "x": "h + 2", "b": "x + 17", "y": "b + 8", "l": 6}, "premises": {"l": 6}, "target": "o"}, "answer": {"steps": [["v", "m + 19", "m + 22"], ["m", "q + 14", "q + 36"], ["q", "w + 18", "w + 54"], ["w", "a + 6", "a + 60"], ["a", "l + 17", "l + 77"], ["l", 6, "83"]], "target_var_name": "o", "target_value": 83, "value_dict": {"l": 6}, "is_reverse": true}}
| 1,353
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = x + 17; y = b + 8; h = p + 17; m = q + 14; l = 6; p = k + 7; w = a + 6; a = l + 17; q = w + 18; v = m + 19; x = h + 2; o = v + 3; k = l + 8. Given that l = 6, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = m + 19 to o, which gives o = m + 22.\n2. Substitute m = q + 14 to o, which gives o = q + 36.\n3. Substitute q = w + 18 to o, which gives o = w + 54.\n4. Substitute w = a + 6 to o, which gives o = a + 60.\n5. Substitute a = l + 17 to o, which gives o = l + 77.\n6. Substitute l = 6 to o, which gives o = 83.\n\nThus, the final answer is o = \\boxed{83}.",
"index": 1353,
"question": "Suppose a collection of variables is related by the following definitions: b = x + 17; y = b + 8; h = p + 17; m = q + 14; l = 6; p = k + 7; w = a + 6; a = l + 17; q = w + 18; v = m + 19; x = h + 2; o = v + 3; k = l + 8. Given that l = 6, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"j": "c + 8", "u": "j + 10", "r": "u + 19", "m": "r + 14", "i": "m + 1", "k": "i + 3", "o": "c + 14", "f": "o + 1", "q": "f + 18", "e": "q + 2", "b": "e + 8", "d": "b + 7", "c": 12}, "premises": {"c": 12}, "target": "k"}, "answer": {"steps": [["i", "m + 1", "m + 4"], ["m", "r + 14", "r + 18"], ["r", "u + 19", "u + 37"], ["u", "j + 10", "j + 47"], ["j", "c + 8", "c + 55"], ["c", 12, "67"]], "target_var_name": "k", "target_value": 67, "value_dict": {"c": 12}, "is_reverse": true}}
| 1,354
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = r + 14; d = b + 7; q = f + 18; c = 12; e = q + 2; r = u + 19; f = o + 1; i = m + 1; b = e + 8; k = i + 3; j = c + 8; u = j + 10; o = c + 14. If c = 12, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = m + 1 to k, which gives k = m + 4.\n2. Substitute m = r + 14 to k, which gives k = r + 18.\n3. Substitute r = u + 19 to k, which gives k = u + 37.\n4. Substitute u = j + 10 to k, which gives k = j + 47.\n5. Substitute j = c + 8 to k, which gives k = c + 55.\n6. Substitute c = 12 to k, which gives k = 67.\n\nThus, the final answer is k = \\boxed{67}.",
"index": 1354,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = r + 14; d = b + 7; q = f + 18; c = 12; e = q + 2; r = u + 19; f = o + 1; i = m + 1; b = e + 8; k = i + 3; j = c + 8; u = j + 10; o = c + 14. If c = 12, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"e": "a + 16", "z": "e + 8", "v": "z + 6", "s": "v + 2", "b": "s + 2", "h": "b + 14", "p": "a + 10", "f": "p + 4", "o": "f + 10", "j": "o + 18", "q": "j + 10", "i": "q + 9", "a": 10}, "premises": {"a": 10}, "target": "h"}, "answer": {"steps": [["b", "s + 2", "s + 16"], ["s", "v + 2", "v + 18"], ["v", "z + 6", "z + 24"], ["z", "e + 8", "e + 32"], ["e", "a + 16", "a + 48"], ["a", 10, "58"]], "target_var_name": "h", "target_value": 58, "value_dict": {"a": 10}, "is_reverse": true}}
| 1,355
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = e + 8; p = a + 10; o = f + 10; a = 10; e = a + 16; h = b + 14; q = j + 10; s = v + 2; i = q + 9; j = o + 18; v = z + 6; b = s + 2; f = p + 4. If a = 10, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = s + 2 to h, which gives h = s + 16.\n2. Substitute s = v + 2 to h, which gives h = v + 18.\n3. Substitute v = z + 6 to h, which gives h = z + 24.\n4. Substitute z = e + 8 to h, which gives h = e + 32.\n5. Substitute e = a + 16 to h, which gives h = a + 48.\n6. Substitute a = 10 to h, which gives h = 58.\n\nThus, the final answer is h = \\boxed{58}.",
"index": 1355,
"question": "Consider a system of variables where each variable is defined as follows: z = e + 8; p = a + 10; o = f + 10; a = 10; e = a + 16; h = b + 14; q = j + 10; s = v + 2; i = q + 9; j = o + 18; v = z + 6; b = s + 2; f = p + 4. If a = 10, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"r": "c + 12", "e": "r + 19", "v": "e + 15", "s": "v + 20", "w": "s + 3", "j": "w + 20", "u": "c + 7", "g": "u + 16", "y": "g + 17", "x": "y + 7", "z": "x + 17", "a": "z + 20", "c": 16}, "premises": {"c": 16}, "target": "j"}, "answer": {"steps": [["w", "s + 3", "s + 23"], ["s", "v + 20", "v + 43"], ["v", "e + 15", "e + 58"], ["e", "r + 19", "r + 77"], ["r", "c + 12", "c + 89"], ["c", 16, "105"]], "target_var_name": "j", "target_value": 105, "value_dict": {"c": 16}, "is_reverse": true}}
| 1,356
| 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 = w + 20; u = c + 7; s = v + 20; v = e + 15; z = x + 17; w = s + 3; g = u + 16; e = r + 19; x = y + 7; c = 16; a = z + 20; r = c + 12; y = g + 17. If c = 16, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 105,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = s + 3 to j, which gives j = s + 23.\n2. Substitute s = v + 20 to j, which gives j = v + 43.\n3. Substitute v = e + 15 to j, which gives j = e + 58.\n4. Substitute e = r + 19 to j, which gives j = r + 77.\n5. Substitute r = c + 12 to j, which gives j = c + 89.\n6. Substitute c = 16 to j, which gives j = 105.\n\nThus, the final answer is j = \\boxed{105}.",
"index": 1356,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = w + 20; u = c + 7; s = v + 20; v = e + 15; z = x + 17; w = s + 3; g = u + 16; e = r + 19; x = y + 7; c = 16; a = z + 20; r = c + 12; y = g + 17. If c = 16, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"a": "w + 2", "k": "a + 17", "r": "k + 1", "l": "r + 7", "j": "l + 18", "z": "j + 5", "p": "w + 13", "m": "p + 4", "u": "m + 6", "o": "u + 18", "x": "o + 1", "i": "x + 5", "w": 3}, "premises": {"w": 3}, "target": "z"}, "answer": {"steps": [["j", "l + 18", "l + 23"], ["l", "r + 7", "r + 30"], ["r", "k + 1", "k + 31"], ["k", "a + 17", "a + 48"], ["a", "w + 2", "w + 50"], ["w", 3, "53"]], "target_var_name": "z", "target_value": 53, "value_dict": {"w": 3}, "is_reverse": true}}
| 1,357
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = a + 17; i = x + 5; u = m + 6; l = r + 7; m = p + 4; a = w + 2; o = u + 18; w = 3; p = w + 13; x = o + 1; z = j + 5; r = k + 1; j = l + 18. Given that w = 3, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = l + 18 to z, which gives z = l + 23.\n2. Substitute l = r + 7 to z, which gives z = r + 30.\n3. Substitute r = k + 1 to z, which gives z = k + 31.\n4. Substitute k = a + 17 to z, which gives z = a + 48.\n5. Substitute a = w + 2 to z, which gives z = w + 50.\n6. Substitute w = 3 to z, which gives z = 53.\n\nThus, the final answer is z = \\boxed{53}.",
"index": 1357,
"question": "Suppose a collection of variables is related by the following definitions: k = a + 17; i = x + 5; u = m + 6; l = r + 7; m = p + 4; a = w + 2; o = u + 18; w = 3; p = w + 13; x = o + 1; z = j + 5; r = k + 1; j = l + 18. Given that w = 3, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"y": "t + 17", "w": "y + 10", "b": "w + 6", "i": "b + 18", "u": "i + 13", "q": "u + 9", "l": "t + 2", "z": "l + 12", "p": "z + 10", "s": "p + 4", "m": "s + 13", "g": "m + 15", "t": 17}, "premises": {"t": 17}, "target": "q"}, "answer": {"steps": [["u", "i + 13", "i + 22"], ["i", "b + 18", "b + 40"], ["b", "w + 6", "w + 46"], ["w", "y + 10", "y + 56"], ["y", "t + 17", "t + 73"], ["t", 17, "90"]], "target_var_name": "q", "target_value": 90, "value_dict": {"t": 17}, "is_reverse": true}}
| 1,358
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = y + 10; b = w + 6; u = i + 13; m = s + 13; s = p + 4; i = b + 18; y = t + 17; p = z + 10; l = t + 2; q = u + 9; g = m + 15; t = 17; z = l + 12. If t = 17, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = i + 13 to q, which gives q = i + 22.\n2. Substitute i = b + 18 to q, which gives q = b + 40.\n3. Substitute b = w + 6 to q, which gives q = w + 46.\n4. Substitute w = y + 10 to q, which gives q = y + 56.\n5. Substitute y = t + 17 to q, which gives q = t + 73.\n6. Substitute t = 17 to q, which gives q = 90.\n\nThus, the final answer is q = \\boxed{90}.",
"index": 1358,
"question": "Consider a system of variables where each variable is defined as follows: w = y + 10; b = w + 6; u = i + 13; m = s + 13; s = p + 4; i = b + 18; y = t + 17; p = z + 10; l = t + 2; q = u + 9; g = m + 15; t = 17; z = l + 12. If t = 17, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"f": "d + 20", "t": "f + 3", "g": "t + 2", "e": "g + 16", "k": "e + 18", "v": "k + 13", "x": "d + 6", "o": "x + 10", "y": "o + 5", "a": "y + 3", "s": "a + 3", "r": "s + 3", "d": 18}, "premises": {"d": 18}, "target": "v"}, "answer": {"steps": [["k", "e + 18", "e + 31"], ["e", "g + 16", "g + 47"], ["g", "t + 2", "t + 49"], ["t", "f + 3", "f + 52"], ["f", "d + 20", "d + 72"], ["d", 18, "90"]], "target_var_name": "v", "target_value": 90, "value_dict": {"d": 18}, "is_reverse": true}}
| 1,359
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = 18; g = t + 2; f = d + 20; y = o + 5; k = e + 18; v = k + 13; x = d + 6; e = g + 16; s = a + 3; r = s + 3; o = x + 10; t = f + 3; a = y + 3. If d = 18, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = e + 18 to v, which gives v = e + 31.\n2. Substitute e = g + 16 to v, which gives v = g + 47.\n3. Substitute g = t + 2 to v, which gives v = t + 49.\n4. Substitute t = f + 3 to v, which gives v = f + 52.\n5. Substitute f = d + 20 to v, which gives v = d + 72.\n6. Substitute d = 18 to v, which gives v = 90.\n\nThus, the final answer is v = \\boxed{90}.",
"index": 1359,
"question": "Consider a system of variables where each variable is defined as follows: d = 18; g = t + 2; f = d + 20; y = o + 5; k = e + 18; v = k + 13; x = d + 6; e = g + 16; s = a + 3; r = s + 3; o = x + 10; t = f + 3; a = y + 3. If d = 18, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"p": "s + 9", "n": "p + 4", "u": "n + 3", "o": "u + 6", "x": "o + 11", "i": "x + 6", "q": "s + 20", "m": "q + 5", "a": "m + 18", "g": "a + 20", "h": "g + 6", "j": "h + 14", "s": 17}, "premises": {"s": 17}, "target": "i"}, "answer": {"steps": [["x", "o + 11", "o + 17"], ["o", "u + 6", "u + 23"], ["u", "n + 3", "n + 26"], ["n", "p + 4", "p + 30"], ["p", "s + 9", "s + 39"], ["s", 17, "56"]], "target_var_name": "i", "target_value": 56, "value_dict": {"s": 17}, "is_reverse": true}}
| 1,360
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = g + 6; n = p + 4; o = u + 6; j = h + 14; i = x + 6; m = q + 5; p = s + 9; g = a + 20; s = 17; u = n + 3; x = o + 11; a = m + 18; q = s + 20. If s = 17, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = o + 11 to i, which gives i = o + 17.\n2. Substitute o = u + 6 to i, which gives i = u + 23.\n3. Substitute u = n + 3 to i, which gives i = n + 26.\n4. Substitute n = p + 4 to i, which gives i = p + 30.\n5. Substitute p = s + 9 to i, which gives i = s + 39.\n6. Substitute s = 17 to i, which gives i = 56.\n\nThus, the final answer is i = \\boxed{56}.",
"index": 1360,
"question": "Consider a system of variables where each variable is defined as follows: h = g + 6; n = p + 4; o = u + 6; j = h + 14; i = x + 6; m = q + 5; p = s + 9; g = a + 20; s = 17; u = n + 3; x = o + 11; a = m + 18; q = s + 20. If s = 17, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"r": "u + 3", "m": "r + 14", "z": "m + 4", "k": "z + 12", "o": "k + 4", "n": "o + 20", "p": "u + 4", "l": "p + 12", "b": "l + 1", "c": "b + 11", "x": "c + 5", "e": "x + 12", "u": 19}, "premises": {"u": 19}, "target": "n"}, "answer": {"steps": [["o", "k + 4", "k + 24"], ["k", "z + 12", "z + 36"], ["z", "m + 4", "m + 40"], ["m", "r + 14", "r + 54"], ["r", "u + 3", "u + 57"], ["u", 19, "76"]], "target_var_name": "n", "target_value": 76, "value_dict": {"u": 19}, "is_reverse": true}}
| 1,361
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = b + 11; p = u + 4; l = p + 12; k = z + 12; e = x + 12; b = l + 1; x = c + 5; r = u + 3; n = o + 20; u = 19; m = r + 14; o = k + 4; z = m + 4. If u = 19, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = k + 4 to n, which gives n = k + 24.\n2. Substitute k = z + 12 to n, which gives n = z + 36.\n3. Substitute z = m + 4 to n, which gives n = m + 40.\n4. Substitute m = r + 14 to n, which gives n = r + 54.\n5. Substitute r = u + 3 to n, which gives n = u + 57.\n6. Substitute u = 19 to n, which gives n = 76.\n\nThus, the final answer is n = \\boxed{76}.",
"index": 1361,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = b + 11; p = u + 4; l = p + 12; k = z + 12; e = x + 12; b = l + 1; x = c + 5; r = u + 3; n = o + 20; u = 19; m = r + 14; o = k + 4; z = m + 4. If u = 19, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"i": "x + 10", "s": "i + 1", "w": "s + 16", "e": "w + 15", "p": "e + 13", "j": "p + 10", "t": "x + 3", "n": "t + 19", "k": "n + 20", "g": "k + 17", "u": "g + 1", "z": "u + 8", "x": 11}, "premises": {"x": 11}, "target": "j"}, "answer": {"steps": [["p", "e + 13", "e + 23"], ["e", "w + 15", "w + 38"], ["w", "s + 16", "s + 54"], ["s", "i + 1", "i + 55"], ["i", "x + 10", "x + 65"], ["x", 11, "76"]], "target_var_name": "j", "target_value": 76, "value_dict": {"x": 11}, "is_reverse": true}}
| 1,362
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = x + 3; w = s + 16; j = p + 10; k = n + 20; i = x + 10; n = t + 19; u = g + 1; s = i + 1; g = k + 17; x = 11; p = e + 13; z = u + 8; e = w + 15. Given that x = 11, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = e + 13 to j, which gives j = e + 23.\n2. Substitute e = w + 15 to j, which gives j = w + 38.\n3. Substitute w = s + 16 to j, which gives j = s + 54.\n4. Substitute s = i + 1 to j, which gives j = i + 55.\n5. Substitute i = x + 10 to j, which gives j = x + 65.\n6. Substitute x = 11 to j, which gives j = 76.\n\nThus, the final answer is j = \\boxed{76}.",
"index": 1362,
"question": "Suppose a collection of variables is related by the following definitions: t = x + 3; w = s + 16; j = p + 10; k = n + 20; i = x + 10; n = t + 19; u = g + 1; s = i + 1; g = k + 17; x = 11; p = e + 13; z = u + 8; e = w + 15. Given that x = 11, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"w": "c + 16", "j": "w + 14", "m": "j + 8", "l": "m + 20", "o": "l + 4", "a": "o + 3", "e": "c + 5", "r": "e + 9", "t": "r + 19", "x": "t + 3", "v": "x + 2", "g": "v + 15", "c": 17}, "premises": {"c": 17}, "target": "a"}, "answer": {"steps": [["o", "l + 4", "l + 7"], ["l", "m + 20", "m + 27"], ["m", "j + 8", "j + 35"], ["j", "w + 14", "w + 49"], ["w", "c + 16", "c + 65"], ["c", 17, "82"]], "target_var_name": "a", "target_value": 82, "value_dict": {"c": 17}, "is_reverse": true}}
| 1,363
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = r + 19; v = x + 2; o = l + 4; a = o + 3; l = m + 20; g = v + 15; r = e + 9; w = c + 16; e = c + 5; m = j + 8; j = w + 14; x = t + 3; c = 17. If c = 17, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = l + 4 to a, which gives a = l + 7.\n2. Substitute l = m + 20 to a, which gives a = m + 27.\n3. Substitute m = j + 8 to a, which gives a = j + 35.\n4. Substitute j = w + 14 to a, which gives a = w + 49.\n5. Substitute w = c + 16 to a, which gives a = c + 65.\n6. Substitute c = 17 to a, which gives a = 82.\n\nThus, the final answer is a = \\boxed{82}.",
"index": 1363,
"question": "Consider a system of variables where each variable is defined as follows: t = r + 19; v = x + 2; o = l + 4; a = o + 3; l = m + 20; g = v + 15; r = e + 9; w = c + 16; e = c + 5; m = j + 8; j = w + 14; x = t + 3; c = 17. If c = 17, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"p": "o + 5", "n": "p + 5", "u": "n + 16", "g": "u + 11", "y": "g + 18", "s": "y + 3", "h": "o + 16", "q": "h + 3", "i": "q + 4", "w": "i + 3", "x": "w + 4", "l": "x + 7", "o": 4}, "premises": {"o": 4}, "target": "s"}, "answer": {"steps": [["y", "g + 18", "g + 21"], ["g", "u + 11", "u + 32"], ["u", "n + 16", "n + 48"], ["n", "p + 5", "p + 53"], ["p", "o + 5", "o + 58"], ["o", 4, "62"]], "target_var_name": "s", "target_value": 62, "value_dict": {"o": 4}, "is_reverse": true}}
| 1,364
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = w + 4; u = n + 16; o = 4; i = q + 4; h = o + 16; y = g + 18; s = y + 3; g = u + 11; p = o + 5; w = i + 3; n = p + 5; l = x + 7; q = h + 3. If o = 4, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = g + 18 to s, which gives s = g + 21.\n2. Substitute g = u + 11 to s, which gives s = u + 32.\n3. Substitute u = n + 16 to s, which gives s = n + 48.\n4. Substitute n = p + 5 to s, which gives s = p + 53.\n5. Substitute p = o + 5 to s, which gives s = o + 58.\n6. Substitute o = 4 to s, which gives s = 62.\n\nThus, the final answer is s = \\boxed{62}.",
"index": 1364,
"question": "Consider a system of variables where each variable is defined as follows: x = w + 4; u = n + 16; o = 4; i = q + 4; h = o + 16; y = g + 18; s = y + 3; g = u + 11; p = o + 5; w = i + 3; n = p + 5; l = x + 7; q = h + 3. If o = 4, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"o": "n + 1", "f": "o + 3", "b": "f + 12", "w": "b + 9", "y": "w + 15", "h": "y + 18", "m": "n + 8", "c": "m + 12", "v": "c + 10", "p": "v + 4", "s": "p + 5", "a": "s + 2", "n": 18}, "premises": {"n": 18}, "target": "h"}, "answer": {"steps": [["y", "w + 15", "w + 33"], ["w", "b + 9", "b + 42"], ["b", "f + 12", "f + 54"], ["f", "o + 3", "o + 57"], ["o", "n + 1", "n + 58"], ["n", 18, "76"]], "target_var_name": "h", "target_value": 76, "value_dict": {"n": 18}, "is_reverse": true}}
| 1,365
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = m + 12; h = y + 18; b = f + 12; w = b + 9; a = s + 2; p = v + 4; f = o + 3; s = p + 5; m = n + 8; n = 18; v = c + 10; y = w + 15; o = n + 1. If n = 18, determine 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 y = w + 15 to h, which gives h = w + 33.\n2. Substitute w = b + 9 to h, which gives h = b + 42.\n3. Substitute b = f + 12 to h, which gives h = f + 54.\n4. Substitute f = o + 3 to h, which gives h = o + 57.\n5. Substitute o = n + 1 to h, which gives h = n + 58.\n6. Substitute n = 18 to h, which gives h = 76.\n\nThus, the final answer is h = \\boxed{76}.",
"index": 1365,
"question": "Consider a system of variables where each variable is defined as follows: c = m + 12; h = y + 18; b = f + 12; w = b + 9; a = s + 2; p = v + 4; f = o + 3; s = p + 5; m = n + 8; n = 18; v = c + 10; y = w + 15; o = n + 1. If n = 18, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"b": "u + 9", "e": "b + 20", "r": "e + 9", "p": "r + 15", "l": "p + 19", "s": "l + 14", "j": "u + 8", "q": "j + 10", "v": "q + 20", "z": "v + 13", "y": "z + 16", "c": "y + 9", "u": 2}, "premises": {"u": 2}, "target": "s"}, "answer": {"steps": [["l", "p + 19", "p + 33"], ["p", "r + 15", "r + 48"], ["r", "e + 9", "e + 57"], ["e", "b + 20", "b + 77"], ["b", "u + 9", "u + 86"], ["u", 2, "88"]], "target_var_name": "s", "target_value": 88, "value_dict": {"u": 2}, "is_reverse": true}}
| 1,366
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = y + 9; b = u + 9; l = p + 19; r = e + 9; z = v + 13; y = z + 16; q = j + 10; e = b + 20; v = q + 20; s = l + 14; j = u + 8; u = 2; p = r + 15. Given that u = 2, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = p + 19 to s, which gives s = p + 33.\n2. Substitute p = r + 15 to s, which gives s = r + 48.\n3. Substitute r = e + 9 to s, which gives s = e + 57.\n4. Substitute e = b + 20 to s, which gives s = b + 77.\n5. Substitute b = u + 9 to s, which gives s = u + 86.\n6. Substitute u = 2 to s, which gives s = 88.\n\nThus, the final answer is s = \\boxed{88}.",
"index": 1366,
"question": "Suppose a collection of variables is related by the following definitions: c = y + 9; b = u + 9; l = p + 19; r = e + 9; z = v + 13; y = z + 16; q = j + 10; e = b + 20; v = q + 20; s = l + 14; j = u + 8; u = 2; p = r + 15. Given that u = 2, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"q": "x + 14", "e": "q + 8", "h": "e + 2", "n": "h + 5", "d": "n + 12", "a": "d + 18", "l": "x + 7", "p": "l + 17", "o": "p + 18", "f": "o + 15", "k": "f + 19", "m": "k + 14", "x": 18}, "premises": {"x": 18}, "target": "a"}, "answer": {"steps": [["d", "n + 12", "n + 30"], ["n", "h + 5", "h + 35"], ["h", "e + 2", "e + 37"], ["e", "q + 8", "q + 45"], ["q", "x + 14", "x + 59"], ["x", 18, "77"]], "target_var_name": "a", "target_value": 77, "value_dict": {"x": 18}, "is_reverse": true}}
| 1,367
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = x + 7; x = 18; f = o + 15; a = d + 18; q = x + 14; o = p + 18; n = h + 5; m = k + 14; h = e + 2; p = l + 17; k = f + 19; d = n + 12; e = q + 8. If x = 18, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = n + 12 to a, which gives a = n + 30.\n2. Substitute n = h + 5 to a, which gives a = h + 35.\n3. Substitute h = e + 2 to a, which gives a = e + 37.\n4. Substitute e = q + 8 to a, which gives a = q + 45.\n5. Substitute q = x + 14 to a, which gives a = x + 59.\n6. Substitute x = 18 to a, which gives a = 77.\n\nThus, the final answer is a = \\boxed{77}.",
"index": 1367,
"question": "Consider a system of variables where each variable is defined as follows: l = x + 7; x = 18; f = o + 15; a = d + 18; q = x + 14; o = p + 18; n = h + 5; m = k + 14; h = e + 2; p = l + 17; k = f + 19; d = n + 12; e = q + 8. If x = 18, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"x": "i + 15", "o": "x + 12", "w": "o + 15", "l": "w + 9", "y": "l + 10", "j": "y + 13", "q": "i + 8", "a": "q + 2", "p": "a + 12", "r": "p + 4", "z": "r + 11", "m": "z + 7", "i": 14}, "premises": {"i": 14}, "target": "j"}, "answer": {"steps": [["y", "l + 10", "l + 23"], ["l", "w + 9", "w + 32"], ["w", "o + 15", "o + 47"], ["o", "x + 12", "x + 59"], ["x", "i + 15", "i + 74"], ["i", 14, "88"]], "target_var_name": "j", "target_value": 88, "value_dict": {"i": 14}, "is_reverse": true}}
| 1,368
| 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 = r + 11; y = l + 10; i = 14; r = p + 4; x = i + 15; j = y + 13; l = w + 9; w = o + 15; m = z + 7; p = a + 12; o = x + 12; a = q + 2; q = i + 8. If i = 14, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = l + 10 to j, which gives j = l + 23.\n2. Substitute l = w + 9 to j, which gives j = w + 32.\n3. Substitute w = o + 15 to j, which gives j = o + 47.\n4. Substitute o = x + 12 to j, which gives j = x + 59.\n5. Substitute x = i + 15 to j, which gives j = i + 74.\n6. Substitute i = 14 to j, which gives j = 88.\n\nThus, the final answer is j = \\boxed{88}.",
"index": 1368,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = r + 11; y = l + 10; i = 14; r = p + 4; x = i + 15; j = y + 13; l = w + 9; w = o + 15; m = z + 7; p = a + 12; o = x + 12; a = q + 2; q = i + 8. If i = 14, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"z": "s + 2", "l": "z + 12", "m": "l + 9", "c": "m + 14", "e": "c + 17", "g": "e + 3", "w": "s + 3", "u": "w + 19", "j": "u + 1", "n": "j + 2", "r": "n + 13", "q": "r + 9", "s": 12}, "premises": {"s": 12}, "target": "g"}, "answer": {"steps": [["e", "c + 17", "c + 20"], ["c", "m + 14", "m + 34"], ["m", "l + 9", "l + 43"], ["l", "z + 12", "z + 55"], ["z", "s + 2", "s + 57"], ["s", 12, "69"]], "target_var_name": "g", "target_value": 69, "value_dict": {"s": 12}, "is_reverse": true}}
| 1,369
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = m + 14; s = 12; m = l + 9; l = z + 12; g = e + 3; e = c + 17; z = s + 2; q = r + 9; j = u + 1; r = n + 13; w = s + 3; u = w + 19; n = j + 2. If s = 12, determine the 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 e = c + 17 to g, which gives g = c + 20.\n2. Substitute c = m + 14 to g, which gives g = m + 34.\n3. Substitute m = l + 9 to g, which gives g = l + 43.\n4. Substitute l = z + 12 to g, which gives g = z + 55.\n5. Substitute z = s + 2 to g, which gives g = s + 57.\n6. Substitute s = 12 to g, which gives g = 69.\n\nThus, the final answer is g = \\boxed{69}.",
"index": 1369,
"question": "Consider a system of variables where each variable is defined as follows: c = m + 14; s = 12; m = l + 9; l = z + 12; g = e + 3; e = c + 17; z = s + 2; q = r + 9; j = u + 1; r = n + 13; w = s + 3; u = w + 19; n = j + 2. If s = 12, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"s": "x + 11", "l": "s + 10", "c": "l + 19", "e": "c + 14", "g": "e + 10", "b": "g + 1", "k": "x + 9", "w": "k + 7", "p": "w + 16", "u": "p + 2", "v": "u + 7", "f": "v + 9", "x": 20}, "premises": {"x": 20}, "target": "b"}, "answer": {"steps": [["g", "e + 10", "e + 11"], ["e", "c + 14", "c + 25"], ["c", "l + 19", "l + 44"], ["l", "s + 10", "s + 54"], ["s", "x + 11", "x + 65"], ["x", 20, "85"]], "target_var_name": "b", "target_value": 85, "value_dict": {"x": 20}, "is_reverse": true}}
| 1,370
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = s + 10; e = c + 14; g = e + 10; k = x + 9; x = 20; p = w + 16; w = k + 7; s = x + 11; v = u + 7; u = p + 2; c = l + 19; b = g + 1; f = v + 9. If x = 20, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = e + 10 to b, which gives b = e + 11.\n2. Substitute e = c + 14 to b, which gives b = c + 25.\n3. Substitute c = l + 19 to b, which gives b = l + 44.\n4. Substitute l = s + 10 to b, which gives b = s + 54.\n5. Substitute s = x + 11 to b, which gives b = x + 65.\n6. Substitute x = 20 to b, which gives b = 85.\n\nThus, the final answer is b = \\boxed{85}.",
"index": 1370,
"question": "Consider a system of variables where each variable is defined as follows: l = s + 10; e = c + 14; g = e + 10; k = x + 9; x = 20; p = w + 16; w = k + 7; s = x + 11; v = u + 7; u = p + 2; c = l + 19; b = g + 1; f = v + 9. If x = 20, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"j": "k + 18", "o": "j + 6", "c": "o + 9", "e": "c + 19", "r": "e + 3", "x": "r + 9", "g": "k + 8", "h": "g + 6", "p": "h + 9", "u": "p + 4", "d": "u + 6", "v": "d + 20", "k": 5}, "premises": {"k": 5}, "target": "x"}, "answer": {"steps": [["r", "e + 3", "e + 12"], ["e", "c + 19", "c + 31"], ["c", "o + 9", "o + 40"], ["o", "j + 6", "j + 46"], ["j", "k + 18", "k + 64"], ["k", 5, "69"]], "target_var_name": "x", "target_value": 69, "value_dict": {"k": 5}, "is_reverse": true}}
| 1,371
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = d + 20; d = u + 6; p = h + 9; o = j + 6; k = 5; g = k + 8; h = g + 6; j = k + 18; x = r + 9; c = o + 9; u = p + 4; e = c + 19; r = e + 3. If k = 5, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = e + 3 to x, which gives x = e + 12.\n2. Substitute e = c + 19 to x, which gives x = c + 31.\n3. Substitute c = o + 9 to x, which gives x = o + 40.\n4. Substitute o = j + 6 to x, which gives x = j + 46.\n5. Substitute j = k + 18 to x, which gives x = k + 64.\n6. Substitute k = 5 to x, which gives x = 69.\n\nThus, the final answer is x = \\boxed{69}.",
"index": 1371,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = d + 20; d = u + 6; p = h + 9; o = j + 6; k = 5; g = k + 8; h = g + 6; j = k + 18; x = r + 9; c = o + 9; u = p + 4; e = c + 19; r = e + 3. If k = 5, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"s": "y + 16", "g": "s + 19", "z": "g + 18", "n": "z + 15", "t": "n + 1", "j": "t + 10", "p": "y + 11", "m": "p + 3", "l": "m + 16", "b": "l + 20", "e": "b + 6", "u": "e + 12", "y": 3}, "premises": {"y": 3}, "target": "j"}, "answer": {"steps": [["t", "n + 1", "n + 11"], ["n", "z + 15", "z + 26"], ["z", "g + 18", "g + 44"], ["g", "s + 19", "s + 63"], ["s", "y + 16", "y + 79"], ["y", 3, "82"]], "target_var_name": "j", "target_value": 82, "value_dict": {"y": 3}, "is_reverse": true}}
| 1,372
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = g + 18; m = p + 3; u = e + 12; j = t + 10; n = z + 15; b = l + 20; l = m + 16; t = n + 1; e = b + 6; g = s + 19; y = 3; s = y + 16; p = y + 11. If y = 3, determine 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 t = n + 1 to j, which gives j = n + 11.\n2. Substitute n = z + 15 to j, which gives j = z + 26.\n3. Substitute z = g + 18 to j, which gives j = g + 44.\n4. Substitute g = s + 19 to j, which gives j = s + 63.\n5. Substitute s = y + 16 to j, which gives j = y + 79.\n6. Substitute y = 3 to j, which gives j = 82.\n\nThus, the final answer is j = \\boxed{82}.",
"index": 1372,
"question": "Consider a system of variables where each variable is defined as follows: z = g + 18; m = p + 3; u = e + 12; j = t + 10; n = z + 15; b = l + 20; l = m + 16; t = n + 1; e = b + 6; g = s + 19; y = 3; s = y + 16; p = y + 11. If y = 3, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"a": "y + 2", "c": "a + 1", "p": "c + 19", "s": "p + 1", "b": "s + 9", "j": "b + 14", "o": "y + 14", "z": "o + 9", "e": "z + 17", "x": "e + 2", "w": "x + 17", "k": "w + 17", "y": 1}, "premises": {"y": 1}, "target": "j"}, "answer": {"steps": [["b", "s + 9", "s + 23"], ["s", "p + 1", "p + 24"], ["p", "c + 19", "c + 43"], ["c", "a + 1", "a + 44"], ["a", "y + 2", "y + 46"], ["y", 1, "47"]], "target_var_name": "j", "target_value": 47, "value_dict": {"y": 1}, "is_reverse": true}}
| 1,373
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = s + 9; s = p + 1; p = c + 19; a = y + 2; c = a + 1; y = 1; x = e + 2; j = b + 14; w = x + 17; z = o + 9; o = y + 14; k = w + 17; e = z + 17. If y = 1, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 47,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = s + 9 to j, which gives j = s + 23.\n2. Substitute s = p + 1 to j, which gives j = p + 24.\n3. Substitute p = c + 19 to j, which gives j = c + 43.\n4. Substitute c = a + 1 to j, which gives j = a + 44.\n5. Substitute a = y + 2 to j, which gives j = y + 46.\n6. Substitute y = 1 to j, which gives j = 47.\n\nThus, the final answer is j = \\boxed{47}.",
"index": 1373,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = s + 9; s = p + 1; p = c + 19; a = y + 2; c = a + 1; y = 1; x = e + 2; j = b + 14; w = x + 17; z = o + 9; o = y + 14; k = w + 17; e = z + 17. If y = 1, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"t": "l + 20", "b": "t + 4", "i": "b + 18", "e": "i + 7", "m": "e + 14", "u": "m + 17", "x": "l + 10", "p": "x + 7", "f": "p + 4", "k": "f + 8", "n": "k + 16", "d": "n + 18", "l": 15}, "premises": {"l": 15}, "target": "u"}, "answer": {"steps": [["m", "e + 14", "e + 31"], ["e", "i + 7", "i + 38"], ["i", "b + 18", "b + 56"], ["b", "t + 4", "t + 60"], ["t", "l + 20", "l + 80"], ["l", 15, "95"]], "target_var_name": "u", "target_value": 95, "value_dict": {"l": 15}, "is_reverse": true}}
| 1,374
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = i + 7; i = b + 18; n = k + 16; x = l + 10; d = n + 18; k = f + 8; p = x + 7; l = 15; m = e + 14; u = m + 17; t = l + 20; b = t + 4; f = p + 4. If l = 15, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = e + 14 to u, which gives u = e + 31.\n2. Substitute e = i + 7 to u, which gives u = i + 38.\n3. Substitute i = b + 18 to u, which gives u = b + 56.\n4. Substitute b = t + 4 to u, which gives u = t + 60.\n5. Substitute t = l + 20 to u, which gives u = l + 80.\n6. Substitute l = 15 to u, which gives u = 95.\n\nThus, the final answer is u = \\boxed{95}.",
"index": 1374,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = i + 7; i = b + 18; n = k + 16; x = l + 10; d = n + 18; k = f + 8; p = x + 7; l = 15; m = e + 14; u = m + 17; t = l + 20; b = t + 4; f = p + 4. If l = 15, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"h": "a + 9", "u": "h + 18", "z": "u + 9", "r": "z + 20", "q": "r + 3", "j": "q + 20", "c": "a + 12", "t": "c + 17", "x": "t + 8", "f": "x + 20", "g": "f + 12", "s": "g + 8", "a": 4}, "premises": {"a": 4}, "target": "j"}, "answer": {"steps": [["q", "r + 3", "r + 23"], ["r", "z + 20", "z + 43"], ["z", "u + 9", "u + 52"], ["u", "h + 18", "h + 70"], ["h", "a + 9", "a + 79"], ["a", 4, "83"]], "target_var_name": "j", "target_value": 83, "value_dict": {"a": 4}, "is_reverse": true}}
| 1,375
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = x + 20; c = a + 12; s = g + 8; u = h + 18; t = c + 17; q = r + 3; j = q + 20; r = z + 20; z = u + 9; a = 4; h = a + 9; g = f + 12; x = t + 8. If a = 4, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = r + 3 to j, which gives j = r + 23.\n2. Substitute r = z + 20 to j, which gives j = z + 43.\n3. Substitute z = u + 9 to j, which gives j = u + 52.\n4. Substitute u = h + 18 to j, which gives j = h + 70.\n5. Substitute h = a + 9 to j, which gives j = a + 79.\n6. Substitute a = 4 to j, which gives j = 83.\n\nThus, the final answer is j = \\boxed{83}.",
"index": 1375,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = x + 20; c = a + 12; s = g + 8; u = h + 18; t = c + 17; q = r + 3; j = q + 20; r = z + 20; z = u + 9; a = 4; h = a + 9; g = f + 12; x = t + 8. If a = 4, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"v": "j + 14", "l": "v + 1", "d": "l + 16", "n": "d + 9", "f": "n + 2", "k": "f + 14", "p": "j + 18", "r": "p + 6", "u": "r + 3", "h": "u + 16", "a": "h + 14", "b": "a + 17", "j": 15}, "premises": {"j": 15}, "target": "k"}, "answer": {"steps": [["f", "n + 2", "n + 16"], ["n", "d + 9", "d + 25"], ["d", "l + 16", "l + 41"], ["l", "v + 1", "v + 42"], ["v", "j + 14", "j + 56"], ["j", 15, "71"]], "target_var_name": "k", "target_value": 71, "value_dict": {"j": 15}, "is_reverse": true}}
| 1,376
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = p + 6; l = v + 1; b = a + 17; u = r + 3; h = u + 16; f = n + 2; j = 15; n = d + 9; k = f + 14; a = h + 14; v = j + 14; d = l + 16; p = j + 18. Given that j = 15, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = n + 2 to k, which gives k = n + 16.\n2. Substitute n = d + 9 to k, which gives k = d + 25.\n3. Substitute d = l + 16 to k, which gives k = l + 41.\n4. Substitute l = v + 1 to k, which gives k = v + 42.\n5. Substitute v = j + 14 to k, which gives k = j + 56.\n6. Substitute j = 15 to k, which gives k = 71.\n\nThus, the final answer is k = \\boxed{71}.",
"index": 1376,
"question": "Suppose a collection of variables is related by the following definitions: r = p + 6; l = v + 1; b = a + 17; u = r + 3; h = u + 16; f = n + 2; j = 15; n = d + 9; k = f + 14; a = h + 14; v = j + 14; d = l + 16; p = j + 18. Given that j = 15, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"q": "t + 4", "i": "q + 16", "p": "i + 7", "r": "p + 10", "u": "r + 15", "a": "u + 5", "h": "t + 4", "n": "h + 10", "y": "n + 10", "b": "y + 6", "m": "b + 16", "k": "m + 3", "t": 6}, "premises": {"t": 6}, "target": "a"}, "answer": {"steps": [["u", "r + 15", "r + 20"], ["r", "p + 10", "p + 30"], ["p", "i + 7", "i + 37"], ["i", "q + 16", "q + 53"], ["q", "t + 4", "t + 57"], ["t", 6, "63"]], "target_var_name": "a", "target_value": 63, "value_dict": {"t": 6}, "is_reverse": true}}
| 1,377
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = i + 7; i = q + 16; q = t + 4; m = b + 16; h = t + 4; n = h + 10; r = p + 10; t = 6; y = n + 10; k = m + 3; b = y + 6; u = r + 15; a = u + 5. If t = 6, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = r + 15 to a, which gives a = r + 20.\n2. Substitute r = p + 10 to a, which gives a = p + 30.\n3. Substitute p = i + 7 to a, which gives a = i + 37.\n4. Substitute i = q + 16 to a, which gives a = q + 53.\n5. Substitute q = t + 4 to a, which gives a = t + 57.\n6. Substitute t = 6 to a, which gives a = 63.\n\nThus, the final answer is a = \\boxed{63}.",
"index": 1377,
"question": "Consider a system of variables where each variable is defined as follows: p = i + 7; i = q + 16; q = t + 4; m = b + 16; h = t + 4; n = h + 10; r = p + 10; t = 6; y = n + 10; k = m + 3; b = y + 6; u = r + 15; a = u + 5. If t = 6, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"r": "v + 18", "e": "r + 1", "s": "e + 15", "g": "s + 17", "u": "g + 14", "t": "u + 4", "d": "v + 9", "o": "d + 15", "i": "o + 4", "f": "i + 16", "x": "f + 19", "w": "x + 6", "v": 20}, "premises": {"v": 20}, "target": "t"}, "answer": {"steps": [["u", "g + 14", "g + 18"], ["g", "s + 17", "s + 35"], ["s", "e + 15", "e + 50"], ["e", "r + 1", "r + 51"], ["r", "v + 18", "v + 69"], ["v", 20, "89"]], "target_var_name": "t", "target_value": 89, "value_dict": {"v": 20}, "is_reverse": true}}
| 1,378
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = v + 18; f = i + 16; e = r + 1; t = u + 4; v = 20; o = d + 15; u = g + 14; d = v + 9; i = o + 4; w = x + 6; g = s + 17; s = e + 15; x = f + 19. Given that v = 20, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = g + 14 to t, which gives t = g + 18.\n2. Substitute g = s + 17 to t, which gives t = s + 35.\n3. Substitute s = e + 15 to t, which gives t = e + 50.\n4. Substitute e = r + 1 to t, which gives t = r + 51.\n5. Substitute r = v + 18 to t, which gives t = v + 69.\n6. Substitute v = 20 to t, which gives t = 89.\n\nThus, the final answer is t = \\boxed{89}.",
"index": 1378,
"question": "Suppose a collection of variables is related by the following definitions: r = v + 18; f = i + 16; e = r + 1; t = u + 4; v = 20; o = d + 15; u = g + 14; d = v + 9; i = o + 4; w = x + 6; g = s + 17; s = e + 15; x = f + 19. Given that v = 20, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"g": "h + 3", "s": "g + 3", "v": "s + 11", "p": "v + 19", "b": "p + 6", "w": "b + 6", "o": "h + 15", "m": "o + 14", "f": "m + 20", "a": "f + 11", "k": "a + 5", "u": "k + 7", "h": 11}, "premises": {"h": 11}, "target": "w"}, "answer": {"steps": [["b", "p + 6", "p + 12"], ["p", "v + 19", "v + 31"], ["v", "s + 11", "s + 42"], ["s", "g + 3", "g + 45"], ["g", "h + 3", "h + 48"], ["h", 11, "59"]], "target_var_name": "w", "target_value": 59, "value_dict": {"h": 11}, "is_reverse": true}}
| 1,379
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = s + 11; o = h + 15; w = b + 6; b = p + 6; g = h + 3; s = g + 3; h = 11; f = m + 20; m = o + 14; k = a + 5; u = k + 7; p = v + 19; a = f + 11. If h = 11, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = p + 6 to w, which gives w = p + 12.\n2. Substitute p = v + 19 to w, which gives w = v + 31.\n3. Substitute v = s + 11 to w, which gives w = s + 42.\n4. Substitute s = g + 3 to w, which gives w = g + 45.\n5. Substitute g = h + 3 to w, which gives w = h + 48.\n6. Substitute h = 11 to w, which gives w = 59.\n\nThus, the final answer is w = \\boxed{59}.",
"index": 1379,
"question": "Consider a system of variables where each variable is defined as follows: v = s + 11; o = h + 15; w = b + 6; b = p + 6; g = h + 3; s = g + 3; h = 11; f = m + 20; m = o + 14; k = a + 5; u = k + 7; p = v + 19; a = f + 11. If h = 11, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"n": "v + 17", "j": "n + 14", "z": "j + 18", "x": "z + 12", "g": "x + 19", "b": "g + 6", "d": "v + 1", "i": "d + 3", "c": "i + 4", "e": "c + 3", "w": "e + 13", "o": "w + 12", "v": 1}, "premises": {"v": 1}, "target": "b"}, "answer": {"steps": [["g", "x + 19", "x + 25"], ["x", "z + 12", "z + 37"], ["z", "j + 18", "j + 55"], ["j", "n + 14", "n + 69"], ["n", "v + 17", "v + 86"], ["v", 1, "87"]], "target_var_name": "b", "target_value": 87, "value_dict": {"v": 1}, "is_reverse": true}}
| 1,380
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = e + 13; n = v + 17; i = d + 3; v = 1; z = j + 18; o = w + 12; g = x + 19; x = z + 12; d = v + 1; e = c + 3; j = n + 14; c = i + 4; b = g + 6. If v = 1, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = x + 19 to b, which gives b = x + 25.\n2. Substitute x = z + 12 to b, which gives b = z + 37.\n3. Substitute z = j + 18 to b, which gives b = j + 55.\n4. Substitute j = n + 14 to b, which gives b = n + 69.\n5. Substitute n = v + 17 to b, which gives b = v + 86.\n6. Substitute v = 1 to b, which gives b = 87.\n\nThus, the final answer is b = \\boxed{87}.",
"index": 1380,
"question": "Consider a system of variables where each variable is defined as follows: w = e + 13; n = v + 17; i = d + 3; v = 1; z = j + 18; o = w + 12; g = x + 19; x = z + 12; d = v + 1; e = c + 3; j = n + 14; c = i + 4; b = g + 6. If v = 1, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"m": "n + 16", "i": "m + 4", "x": "i + 10", "b": "x + 16", "k": "b + 17", "r": "k + 7", "g": "n + 18", "j": "g + 18", "h": "j + 10", "w": "h + 11", "s": "w + 12", "p": "s + 9", "n": 18}, "premises": {"n": 18}, "target": "r"}, "answer": {"steps": [["k", "b + 17", "b + 24"], ["b", "x + 16", "x + 40"], ["x", "i + 10", "i + 50"], ["i", "m + 4", "m + 54"], ["m", "n + 16", "n + 70"], ["n", 18, "88"]], "target_var_name": "r", "target_value": 88, "value_dict": {"n": 18}, "is_reverse": true}}
| 1,381
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = k + 7; s = w + 12; k = b + 17; w = h + 11; n = 18; h = j + 10; g = n + 18; x = i + 10; m = n + 16; p = s + 9; b = x + 16; i = m + 4; j = g + 18. Given that n = 18, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = b + 17 to r, which gives r = b + 24.\n2. Substitute b = x + 16 to r, which gives r = x + 40.\n3. Substitute x = i + 10 to r, which gives r = i + 50.\n4. Substitute i = m + 4 to r, which gives r = m + 54.\n5. Substitute m = n + 16 to r, which gives r = n + 70.\n6. Substitute n = 18 to r, which gives r = 88.\n\nThus, the final answer is r = \\boxed{88}.",
"index": 1381,
"question": "Suppose a collection of variables is related by the following definitions: r = k + 7; s = w + 12; k = b + 17; w = h + 11; n = 18; h = j + 10; g = n + 18; x = i + 10; m = n + 16; p = s + 9; b = x + 16; i = m + 4; j = g + 18. Given that n = 18, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"y": "f + 8", "j": "y + 17", "a": "j + 1", "v": "a + 4", "m": "v + 6", "g": "m + 16", "e": "f + 4", "i": "e + 13", "h": "i + 3", "u": "h + 1", "t": "u + 18", "z": "t + 14", "f": 15}, "premises": {"f": 15}, "target": "g"}, "answer": {"steps": [["m", "v + 6", "v + 22"], ["v", "a + 4", "a + 26"], ["a", "j + 1", "j + 27"], ["j", "y + 17", "y + 44"], ["y", "f + 8", "f + 52"], ["f", 15, "67"]], "target_var_name": "g", "target_value": 67, "value_dict": {"f": 15}, "is_reverse": true}}
| 1,382
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = f + 8; v = a + 4; h = i + 3; i = e + 13; j = y + 17; a = j + 1; t = u + 18; f = 15; z = t + 14; u = h + 1; e = f + 4; g = m + 16; m = v + 6. If f = 15, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = v + 6 to g, which gives g = v + 22.\n2. Substitute v = a + 4 to g, which gives g = a + 26.\n3. Substitute a = j + 1 to g, which gives g = j + 27.\n4. Substitute j = y + 17 to g, which gives g = y + 44.\n5. Substitute y = f + 8 to g, which gives g = f + 52.\n6. Substitute f = 15 to g, which gives g = 67.\n\nThus, the final answer is g = \\boxed{67}.",
"index": 1382,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = f + 8; v = a + 4; h = i + 3; i = e + 13; j = y + 17; a = j + 1; t = u + 18; f = 15; z = t + 14; u = h + 1; e = f + 4; g = m + 16; m = v + 6. If f = 15, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"k": "b + 5", "h": "k + 5", "f": "h + 8", "c": "f + 10", "z": "c + 19", "j": "z + 2", "n": "b + 17", "r": "n + 10", "d": "r + 11", "i": "d + 2", "e": "i + 9", "v": "e + 16", "b": 17}, "premises": {"b": 17}, "target": "j"}, "answer": {"steps": [["z", "c + 19", "c + 21"], ["c", "f + 10", "f + 31"], ["f", "h + 8", "h + 39"], ["h", "k + 5", "k + 44"], ["k", "b + 5", "b + 49"], ["b", 17, "66"]], "target_var_name": "j", "target_value": 66, "value_dict": {"b": 17}, "is_reverse": true}}
| 1,383
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = b + 5; h = k + 5; c = f + 10; i = d + 2; z = c + 19; f = h + 8; b = 17; r = n + 10; d = r + 11; v = e + 16; j = z + 2; e = i + 9; n = b + 17. If b = 17, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = c + 19 to j, which gives j = c + 21.\n2. Substitute c = f + 10 to j, which gives j = f + 31.\n3. Substitute f = h + 8 to j, which gives j = h + 39.\n4. Substitute h = k + 5 to j, which gives j = k + 44.\n5. Substitute k = b + 5 to j, which gives j = b + 49.\n6. Substitute b = 17 to j, which gives j = 66.\n\nThus, the final answer is j = \\boxed{66}.",
"index": 1383,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = b + 5; h = k + 5; c = f + 10; i = d + 2; z = c + 19; f = h + 8; b = 17; r = n + 10; d = r + 11; v = e + 16; j = z + 2; e = i + 9; n = b + 17. If b = 17, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"h": "x + 12", "f": "h + 12", "z": "f + 8", "t": "z + 19", "r": "t + 20", "d": "r + 3", "v": "x + 19", "y": "v + 14", "u": "y + 19", "s": "u + 7", "q": "s + 14", "w": "q + 9", "x": 4}, "premises": {"x": 4}, "target": "d"}, "answer": {"steps": [["r", "t + 20", "t + 23"], ["t", "z + 19", "z + 42"], ["z", "f + 8", "f + 50"], ["f", "h + 12", "h + 62"], ["h", "x + 12", "x + 74"], ["x", 4, "78"]], "target_var_name": "d", "target_value": 78, "value_dict": {"x": 4}, "is_reverse": true}}
| 1,384
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = z + 19; v = x + 19; s = u + 7; d = r + 3; w = q + 9; q = s + 14; r = t + 20; y = v + 14; x = 4; f = h + 12; z = f + 8; h = x + 12; u = y + 19. Given that x = 4, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = t + 20 to d, which gives d = t + 23.\n2. Substitute t = z + 19 to d, which gives d = z + 42.\n3. Substitute z = f + 8 to d, which gives d = f + 50.\n4. Substitute f = h + 12 to d, which gives d = h + 62.\n5. Substitute h = x + 12 to d, which gives d = x + 74.\n6. Substitute x = 4 to d, which gives d = 78.\n\nThus, the final answer is d = \\boxed{78}.",
"index": 1384,
"question": "Suppose a collection of variables is related by the following definitions: t = z + 19; v = x + 19; s = u + 7; d = r + 3; w = q + 9; q = s + 14; r = t + 20; y = v + 14; x = 4; f = h + 12; z = f + 8; h = x + 12; u = y + 19. Given that x = 4, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"k": "l + 8", "i": "k + 7", "r": "i + 2", "z": "r + 18", "s": "z + 7", "m": "s + 9", "t": "l + 7", "o": "t + 5", "c": "o + 1", "q": "c + 10", "g": "q + 4", "e": "g + 18", "l": 13}, "premises": {"l": 13}, "target": "m"}, "answer": {"steps": [["s", "z + 7", "z + 16"], ["z", "r + 18", "r + 34"], ["r", "i + 2", "i + 36"], ["i", "k + 7", "k + 43"], ["k", "l + 8", "l + 51"], ["l", 13, "64"]], "target_var_name": "m", "target_value": 64, "value_dict": {"l": 13}, "is_reverse": true}}
| 1,385
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = l + 8; e = g + 18; s = z + 7; t = l + 7; r = i + 2; z = r + 18; i = k + 7; c = o + 1; m = s + 9; l = 13; o = t + 5; g = q + 4; q = c + 10. If l = 13, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = z + 7 to m, which gives m = z + 16.\n2. Substitute z = r + 18 to m, which gives m = r + 34.\n3. Substitute r = i + 2 to m, which gives m = i + 36.\n4. Substitute i = k + 7 to m, which gives m = k + 43.\n5. Substitute k = l + 8 to m, which gives m = l + 51.\n6. Substitute l = 13 to m, which gives m = 64.\n\nThus, the final answer is m = \\boxed{64}.",
"index": 1385,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = l + 8; e = g + 18; s = z + 7; t = l + 7; r = i + 2; z = r + 18; i = k + 7; c = o + 1; m = s + 9; l = 13; o = t + 5; g = q + 4; q = c + 10. If l = 13, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"k": "n + 20", "o": "k + 7", "h": "o + 14", "v": "h + 2", "l": "v + 18", "f": "l + 13", "a": "n + 10", "b": "a + 13", "z": "b + 19", "y": "z + 10", "g": "y + 11", "r": "g + 19", "n": 9}, "premises": {"n": 9}, "target": "f"}, "answer": {"steps": [["l", "v + 18", "v + 31"], ["v", "h + 2", "h + 33"], ["h", "o + 14", "o + 47"], ["o", "k + 7", "k + 54"], ["k", "n + 20", "n + 74"], ["n", 9, "83"]], "target_var_name": "f", "target_value": 83, "value_dict": {"n": 9}, "is_reverse": true}}
| 1,386
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = z + 10; r = g + 19; v = h + 2; k = n + 20; b = a + 13; f = l + 13; a = n + 10; g = y + 11; h = o + 14; l = v + 18; z = b + 19; o = k + 7; n = 9. If n = 9, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = v + 18 to f, which gives f = v + 31.\n2. Substitute v = h + 2 to f, which gives f = h + 33.\n3. Substitute h = o + 14 to f, which gives f = o + 47.\n4. Substitute o = k + 7 to f, which gives f = k + 54.\n5. Substitute k = n + 20 to f, which gives f = n + 74.\n6. Substitute n = 9 to f, which gives f = 83.\n\nThus, the final answer is f = \\boxed{83}.",
"index": 1386,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = z + 10; r = g + 19; v = h + 2; k = n + 20; b = a + 13; f = l + 13; a = n + 10; g = y + 11; h = o + 14; l = v + 18; z = b + 19; o = k + 7; n = 9. If n = 9, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"z": "a + 5", "j": "z + 3", "x": "j + 5", "u": "x + 6", "l": "u + 9", "i": "l + 18", "c": "a + 8", "m": "c + 8", "e": "m + 1", "v": "e + 5", "k": "v + 14", "t": "k + 8", "a": 8}, "premises": {"a": 8}, "target": "i"}, "answer": {"steps": [["l", "u + 9", "u + 27"], ["u", "x + 6", "x + 33"], ["x", "j + 5", "j + 38"], ["j", "z + 3", "z + 41"], ["z", "a + 5", "a + 46"], ["a", 8, "54"]], "target_var_name": "i", "target_value": 54, "value_dict": {"a": 8}, "is_reverse": true}}
| 1,387
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = j + 5; l = u + 9; t = k + 8; m = c + 8; e = m + 1; c = a + 8; v = e + 5; k = v + 14; j = z + 3; u = x + 6; z = a + 5; i = l + 18; a = 8. Given that a = 8, find 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 l = u + 9 to i, which gives i = u + 27.\n2. Substitute u = x + 6 to i, which gives i = x + 33.\n3. Substitute x = j + 5 to i, which gives i = j + 38.\n4. Substitute j = z + 3 to i, which gives i = z + 41.\n5. Substitute z = a + 5 to i, which gives i = a + 46.\n6. Substitute a = 8 to i, which gives i = 54.\n\nThus, the final answer is i = \\boxed{54}.",
"index": 1387,
"question": "Suppose a collection of variables is related by the following definitions: x = j + 5; l = u + 9; t = k + 8; m = c + 8; e = m + 1; c = a + 8; v = e + 5; k = v + 14; j = z + 3; u = x + 6; z = a + 5; i = l + 18; a = 8. Given that a = 8, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"h": "o + 9", "w": "h + 2", "b": "w + 10", "y": "b + 8", "x": "y + 19", "s": "x + 1", "n": "o + 4", "u": "n + 4", "i": "u + 14", "j": "i + 2", "d": "j + 6", "z": "d + 20", "o": 1}, "premises": {"o": 1}, "target": "s"}, "answer": {"steps": [["x", "y + 19", "y + 20"], ["y", "b + 8", "b + 28"], ["b", "w + 10", "w + 38"], ["w", "h + 2", "h + 40"], ["h", "o + 9", "o + 49"], ["o", 1, "50"]], "target_var_name": "s", "target_value": 50, "value_dict": {"o": 1}, "is_reverse": true}}
| 1,388
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = u + 14; d = j + 6; w = h + 2; h = o + 9; n = o + 4; z = d + 20; b = w + 10; u = n + 4; j = i + 2; o = 1; y = b + 8; x = y + 19; s = x + 1. If o = 1, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 50,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = y + 19 to s, which gives s = y + 20.\n2. Substitute y = b + 8 to s, which gives s = b + 28.\n3. Substitute b = w + 10 to s, which gives s = w + 38.\n4. Substitute w = h + 2 to s, which gives s = h + 40.\n5. Substitute h = o + 9 to s, which gives s = o + 49.\n6. Substitute o = 1 to s, which gives s = 50.\n\nThus, the final answer is s = \\boxed{50}.",
"index": 1388,
"question": "Consider a system of variables where each variable is defined as follows: i = u + 14; d = j + 6; w = h + 2; h = o + 9; n = o + 4; z = d + 20; b = w + 10; u = n + 4; j = i + 2; o = 1; y = b + 8; x = y + 19; s = x + 1. If o = 1, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"e": "j + 16", "k": "e + 15", "a": "k + 7", "u": "a + 8", "r": "u + 13", "s": "r + 18", "h": "j + 13", "d": "h + 20", "f": "d + 15", "i": "f + 14", "y": "i + 4", "q": "y + 4", "j": 3}, "premises": {"j": 3}, "target": "s"}, "answer": {"steps": [["r", "u + 13", "u + 31"], ["u", "a + 8", "a + 39"], ["a", "k + 7", "k + 46"], ["k", "e + 15", "e + 61"], ["e", "j + 16", "j + 77"], ["j", 3, "80"]], "target_var_name": "s", "target_value": 80, "value_dict": {"j": 3}, "is_reverse": true}}
| 1,389
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = h + 20; j = 3; y = i + 4; u = a + 8; r = u + 13; a = k + 7; i = f + 14; e = j + 16; h = j + 13; f = d + 15; q = y + 4; s = r + 18; k = e + 15. Given that j = 3, find 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 r = u + 13 to s, which gives s = u + 31.\n2. Substitute u = a + 8 to s, which gives s = a + 39.\n3. Substitute a = k + 7 to s, which gives s = k + 46.\n4. Substitute k = e + 15 to s, which gives s = e + 61.\n5. Substitute e = j + 16 to s, which gives s = j + 77.\n6. Substitute j = 3 to s, which gives s = 80.\n\nThus, the final answer is s = \\boxed{80}.",
"index": 1389,
"question": "Suppose a collection of variables is related by the following definitions: d = h + 20; j = 3; y = i + 4; u = a + 8; r = u + 13; a = k + 7; i = f + 14; e = j + 16; h = j + 13; f = d + 15; q = y + 4; s = r + 18; k = e + 15. Given that j = 3, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"d": "w + 4", "z": "d + 12", "i": "z + 18", "k": "i + 3", "g": "k + 8", "y": "g + 12", "p": "w + 20", "e": "p + 8", "o": "e + 10", "q": "o + 5", "v": "q + 16", "c": "v + 7", "w": 4}, "premises": {"w": 4}, "target": "y"}, "answer": {"steps": [["g", "k + 8", "k + 20"], ["k", "i + 3", "i + 23"], ["i", "z + 18", "z + 41"], ["z", "d + 12", "d + 53"], ["d", "w + 4", "w + 57"], ["w", 4, "61"]], "target_var_name": "y", "target_value": 61, "value_dict": {"w": 4}, "is_reverse": true}}
| 1,390
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = 4; i = z + 18; c = v + 7; p = w + 20; e = p + 8; q = o + 5; k = i + 3; o = e + 10; z = d + 12; d = w + 4; g = k + 8; v = q + 16; y = g + 12. Given that w = 4, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = k + 8 to y, which gives y = k + 20.\n2. Substitute k = i + 3 to y, which gives y = i + 23.\n3. Substitute i = z + 18 to y, which gives y = z + 41.\n4. Substitute z = d + 12 to y, which gives y = d + 53.\n5. Substitute d = w + 4 to y, which gives y = w + 57.\n6. Substitute w = 4 to y, which gives y = 61.\n\nThus, the final answer is y = \\boxed{61}.",
"index": 1390,
"question": "Suppose a collection of variables is related by the following definitions: w = 4; i = z + 18; c = v + 7; p = w + 20; e = p + 8; q = o + 5; k = i + 3; o = e + 10; z = d + 12; d = w + 4; g = k + 8; v = q + 16; y = g + 12. Given that w = 4, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"x": "z + 15", "n": "x + 15", "t": "n + 19", "e": "t + 10", "p": "e + 15", "j": "p + 13", "c": "z + 7", "i": "c + 19", "y": "i + 18", "u": "y + 20", "k": "u + 20", "g": "k + 20", "z": 4}, "premises": {"z": 4}, "target": "j"}, "answer": {"steps": [["p", "e + 15", "e + 28"], ["e", "t + 10", "t + 38"], ["t", "n + 19", "n + 57"], ["n", "x + 15", "x + 72"], ["x", "z + 15", "z + 87"], ["z", 4, "91"]], "target_var_name": "j", "target_value": 91, "value_dict": {"z": 4}, "is_reverse": true}}
| 1,391
| 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 = u + 20; e = t + 10; c = z + 7; j = p + 13; u = y + 20; g = k + 20; i = c + 19; n = x + 15; x = z + 15; p = e + 15; z = 4; y = i + 18; t = n + 19. If z = 4, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = e + 15 to j, which gives j = e + 28.\n2. Substitute e = t + 10 to j, which gives j = t + 38.\n3. Substitute t = n + 19 to j, which gives j = n + 57.\n4. Substitute n = x + 15 to j, which gives j = x + 72.\n5. Substitute x = z + 15 to j, which gives j = z + 87.\n6. Substitute z = 4 to j, which gives j = 91.\n\nThus, the final answer is j = \\boxed{91}.",
"index": 1391,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = u + 20; e = t + 10; c = z + 7; j = p + 13; u = y + 20; g = k + 20; i = c + 19; n = x + 15; x = z + 15; p = e + 15; z = 4; y = i + 18; t = n + 19. If z = 4, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"v": "g + 3", "q": "v + 7", "o": "q + 4", "k": "o + 13", "d": "k + 18", "w": "d + 17", "c": "g + 9", "a": "c + 14", "e": "a + 20", "i": "e + 7", "n": "i + 11", "t": "n + 19", "g": 3}, "premises": {"g": 3}, "target": "w"}, "answer": {"steps": [["d", "k + 18", "k + 35"], ["k", "o + 13", "o + 48"], ["o", "q + 4", "q + 52"], ["q", "v + 7", "v + 59"], ["v", "g + 3", "g + 62"], ["g", 3, "65"]], "target_var_name": "w", "target_value": 65, "value_dict": {"g": 3}, "is_reverse": true}}
| 1,392
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = k + 18; c = g + 9; g = 3; o = q + 4; i = e + 7; w = d + 17; q = v + 7; a = c + 14; t = n + 19; k = o + 13; v = g + 3; e = a + 20; n = i + 11. Given that g = 3, find the 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 d = k + 18 to w, which gives w = k + 35.\n2. Substitute k = o + 13 to w, which gives w = o + 48.\n3. Substitute o = q + 4 to w, which gives w = q + 52.\n4. Substitute q = v + 7 to w, which gives w = v + 59.\n5. Substitute v = g + 3 to w, which gives w = g + 62.\n6. Substitute g = 3 to w, which gives w = 65.\n\nThus, the final answer is w = \\boxed{65}.",
"index": 1392,
"question": "Suppose a collection of variables is related by the following definitions: d = k + 18; c = g + 9; g = 3; o = q + 4; i = e + 7; w = d + 17; q = v + 7; a = c + 14; t = n + 19; k = o + 13; v = g + 3; e = a + 20; n = i + 11. Given that g = 3, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"o": "u + 19", "t": "o + 1", "e": "t + 8", "k": "e + 15", "n": "k + 10", "a": "n + 13", "h": "u + 8", "g": "h + 3", "d": "g + 17", "p": "d + 5", "v": "p + 3", "y": "v + 12", "u": 14}, "premises": {"u": 14}, "target": "a"}, "answer": {"steps": [["n", "k + 10", "k + 23"], ["k", "e + 15", "e + 38"], ["e", "t + 8", "t + 46"], ["t", "o + 1", "o + 47"], ["o", "u + 19", "u + 66"], ["u", 14, "80"]], "target_var_name": "a", "target_value": 80, "value_dict": {"u": 14}, "is_reverse": true}}
| 1,393
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = u + 19; n = k + 10; a = n + 13; p = d + 5; v = p + 3; u = 14; e = t + 8; y = v + 12; h = u + 8; g = h + 3; d = g + 17; t = o + 1; k = e + 15. If u = 14, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = k + 10 to a, which gives a = k + 23.\n2. Substitute k = e + 15 to a, which gives a = e + 38.\n3. Substitute e = t + 8 to a, which gives a = t + 46.\n4. Substitute t = o + 1 to a, which gives a = o + 47.\n5. Substitute o = u + 19 to a, which gives a = u + 66.\n6. Substitute u = 14 to a, which gives a = 80.\n\nThus, the final answer is a = \\boxed{80}.",
"index": 1393,
"question": "Consider a system of variables where each variable is defined as follows: o = u + 19; n = k + 10; a = n + 13; p = d + 5; v = p + 3; u = 14; e = t + 8; y = v + 12; h = u + 8; g = h + 3; d = g + 17; t = o + 1; k = e + 15. If u = 14, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"v": "m + 18", "a": "v + 6", "t": "a + 3", "j": "t + 14", "k": "j + 11", "r": "k + 16", "z": "m + 10", "g": "z + 19", "d": "g + 10", "q": "d + 18", "s": "q + 16", "f": "s + 4", "m": 12}, "premises": {"m": 12}, "target": "r"}, "answer": {"steps": [["k", "j + 11", "j + 27"], ["j", "t + 14", "t + 41"], ["t", "a + 3", "a + 44"], ["a", "v + 6", "v + 50"], ["v", "m + 18", "m + 68"], ["m", 12, "80"]], "target_var_name": "r", "target_value": 80, "value_dict": {"m": 12}, "is_reverse": true}}
| 1,394
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = g + 10; k = j + 11; a = v + 6; z = m + 10; f = s + 4; m = 12; g = z + 19; s = q + 16; v = m + 18; r = k + 16; j = t + 14; q = d + 18; t = a + 3. Given that m = 12, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = j + 11 to r, which gives r = j + 27.\n2. Substitute j = t + 14 to r, which gives r = t + 41.\n3. Substitute t = a + 3 to r, which gives r = a + 44.\n4. Substitute a = v + 6 to r, which gives r = v + 50.\n5. Substitute v = m + 18 to r, which gives r = m + 68.\n6. Substitute m = 12 to r, which gives r = 80.\n\nThus, the final answer is r = \\boxed{80}.",
"index": 1394,
"question": "Suppose a collection of variables is related by the following definitions: d = g + 10; k = j + 11; a = v + 6; z = m + 10; f = s + 4; m = 12; g = z + 19; s = q + 16; v = m + 18; r = k + 16; j = t + 14; q = d + 18; t = a + 3. Given that m = 12, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"i": "t + 16", "o": "i + 20", "z": "o + 18", "u": "z + 17", "h": "u + 14", "c": "h + 15", "b": "t + 18", "j": "b + 15", "k": "j + 1", "w": "k + 11", "l": "w + 17", "f": "l + 2", "t": 1}, "premises": {"t": 1}, "target": "c"}, "answer": {"steps": [["h", "u + 14", "u + 29"], ["u", "z + 17", "z + 46"], ["z", "o + 18", "o + 64"], ["o", "i + 20", "i + 84"], ["i", "t + 16", "t + 100"], ["t", 1, "101"]], "target_var_name": "c", "target_value": 101, "value_dict": {"t": 1}, "is_reverse": true}}
| 1,395
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = i + 20; f = l + 2; c = h + 15; t = 1; i = t + 16; j = b + 15; k = j + 1; l = w + 17; u = z + 17; b = t + 18; h = u + 14; z = o + 18; w = k + 11. If t = 1, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 101,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = u + 14 to c, which gives c = u + 29.\n2. Substitute u = z + 17 to c, which gives c = z + 46.\n3. Substitute z = o + 18 to c, which gives c = o + 64.\n4. Substitute o = i + 20 to c, which gives c = i + 84.\n5. Substitute i = t + 16 to c, which gives c = t + 100.\n6. Substitute t = 1 to c, which gives c = 101.\n\nThus, the final answer is c = \\boxed{101}.",
"index": 1395,
"question": "Consider a system of variables where each variable is defined as follows: o = i + 20; f = l + 2; c = h + 15; t = 1; i = t + 16; j = b + 15; k = j + 1; l = w + 17; u = z + 17; b = t + 18; h = u + 14; z = o + 18; w = k + 11. If t = 1, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"b": "f + 4", "p": "b + 13", "n": "p + 11", "l": "n + 16", "a": "l + 9", "y": "a + 6", "g": "f + 20", "j": "g + 13", "t": "j + 1", "v": "t + 9", "h": "v + 12", "d": "h + 4", "f": 8}, "premises": {"f": 8}, "target": "y"}, "answer": {"steps": [["a", "l + 9", "l + 15"], ["l", "n + 16", "n + 31"], ["n", "p + 11", "p + 42"], ["p", "b + 13", "b + 55"], ["b", "f + 4", "f + 59"], ["f", 8, "67"]], "target_var_name": "y", "target_value": 67, "value_dict": {"f": 8}, "is_reverse": true}}
| 1,396
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = l + 9; j = g + 13; h = v + 12; y = a + 6; l = n + 16; b = f + 4; f = 8; t = j + 1; n = p + 11; d = h + 4; v = t + 9; p = b + 13; g = f + 20. Given that f = 8, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = l + 9 to y, which gives y = l + 15.\n2. Substitute l = n + 16 to y, which gives y = n + 31.\n3. Substitute n = p + 11 to y, which gives y = p + 42.\n4. Substitute p = b + 13 to y, which gives y = b + 55.\n5. Substitute b = f + 4 to y, which gives y = f + 59.\n6. Substitute f = 8 to y, which gives y = 67.\n\nThus, the final answer is y = \\boxed{67}.",
"index": 1396,
"question": "Suppose a collection of variables is related by the following definitions: a = l + 9; j = g + 13; h = v + 12; y = a + 6; l = n + 16; b = f + 4; f = 8; t = j + 1; n = p + 11; d = h + 4; v = t + 9; p = b + 13; g = f + 20. Given that f = 8, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"t": "a + 1", "e": "t + 8", "c": "e + 11", "v": "c + 8", "f": "v + 2", "m": "f + 15", "n": "a + 12", "g": "n + 7", "w": "g + 16", "k": "w + 2", "r": "k + 19", "s": "r + 20", "a": 2}, "premises": {"a": 2}, "target": "m"}, "answer": {"steps": [["f", "v + 2", "v + 17"], ["v", "c + 8", "c + 25"], ["c", "e + 11", "e + 36"], ["e", "t + 8", "t + 44"], ["t", "a + 1", "a + 45"], ["a", 2, "47"]], "target_var_name": "m", "target_value": 47, "value_dict": {"a": 2}, "is_reverse": true}}
| 1,397
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = n + 7; f = v + 2; m = f + 15; k = w + 2; a = 2; r = k + 19; w = g + 16; n = a + 12; v = c + 8; t = a + 1; s = r + 20; c = e + 11; e = t + 8. If a = 2, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 47,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = v + 2 to m, which gives m = v + 17.\n2. Substitute v = c + 8 to m, which gives m = c + 25.\n3. Substitute c = e + 11 to m, which gives m = e + 36.\n4. Substitute e = t + 8 to m, which gives m = t + 44.\n5. Substitute t = a + 1 to m, which gives m = a + 45.\n6. Substitute a = 2 to m, which gives m = 47.\n\nThus, the final answer is m = \\boxed{47}.",
"index": 1397,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = n + 7; f = v + 2; m = f + 15; k = w + 2; a = 2; r = k + 19; w = g + 16; n = a + 12; v = c + 8; t = a + 1; s = r + 20; c = e + 11; e = t + 8. If a = 2, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"o": "z + 15", "y": "o + 17", "g": "y + 16", "u": "g + 12", "w": "u + 3", "d": "w + 18", "v": "z + 7", "j": "v + 7", "b": "j + 6", "f": "b + 1", "k": "f + 8", "h": "k + 4", "z": 2}, "premises": {"z": 2}, "target": "d"}, "answer": {"steps": [["w", "u + 3", "u + 21"], ["u", "g + 12", "g + 33"], ["g", "y + 16", "y + 49"], ["y", "o + 17", "o + 66"], ["o", "z + 15", "z + 81"], ["z", 2, "83"]], "target_var_name": "d", "target_value": 83, "value_dict": {"z": 2}, "is_reverse": true}}
| 1,398
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = v + 7; v = z + 7; y = o + 17; d = w + 18; g = y + 16; b = j + 6; o = z + 15; w = u + 3; u = g + 12; z = 2; h = k + 4; k = f + 8; f = b + 1. If z = 2, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = u + 3 to d, which gives d = u + 21.\n2. Substitute u = g + 12 to d, which gives d = g + 33.\n3. Substitute g = y + 16 to d, which gives d = y + 49.\n4. Substitute y = o + 17 to d, which gives d = o + 66.\n5. Substitute o = z + 15 to d, which gives d = z + 81.\n6. Substitute z = 2 to d, which gives d = 83.\n\nThus, the final answer is d = \\boxed{83}.",
"index": 1398,
"question": "Consider a system of variables where each variable is defined as follows: j = v + 7; v = z + 7; y = o + 17; d = w + 18; g = y + 16; b = j + 6; o = z + 15; w = u + 3; u = g + 12; z = 2; h = k + 4; k = f + 8; f = b + 1. If z = 2, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"v": "w + 1", "c": "v + 8", "x": "c + 17", "n": "x + 5", "z": "n + 2", "y": "z + 7", "i": "w + 3", "r": "i + 9", "u": "r + 12", "m": "u + 13", "d": "m + 3", "k": "d + 18", "w": 8}, "premises": {"w": 8}, "target": "y"}, "answer": {"steps": [["z", "n + 2", "n + 9"], ["n", "x + 5", "x + 14"], ["x", "c + 17", "c + 31"], ["c", "v + 8", "v + 39"], ["v", "w + 1", "w + 40"], ["w", 8, "48"]], "target_var_name": "y", "target_value": 48, "value_dict": {"w": 8}, "is_reverse": true}}
| 1,399
| 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 = x + 5; x = c + 17; i = w + 3; r = i + 9; v = w + 1; u = r + 12; y = z + 7; m = u + 13; c = v + 8; k = d + 18; z = n + 2; d = m + 3; w = 8. If w = 8, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 48,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = n + 2 to y, which gives y = n + 9.\n2. Substitute n = x + 5 to y, which gives y = x + 14.\n3. Substitute x = c + 17 to y, which gives y = c + 31.\n4. Substitute c = v + 8 to y, which gives y = v + 39.\n5. Substitute v = w + 1 to y, which gives y = w + 40.\n6. Substitute w = 8 to y, which gives y = 48.\n\nThus, the final answer is y = \\boxed{48}.",
"index": 1399,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = x + 5; x = c + 17; i = w + 3; r = i + 9; v = w + 1; u = r + 12; y = z + 7; m = u + 13; c = v + 8; k = d + 18; z = n + 2; d = m + 3; w = 8. If w = 8, what is the resulting value of y?",
"split": "train"
}
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.