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": {"b": "u + 18", "o": "b + 6", "g": "o + 14", "a": "g + 6", "r": "a + 4", "l": "r + 14", "w": "u + 5", "v": "w + 17", "p": "v + 5", "d": "p + 2", "t": "d + 8", "x": "t + 19", "u": 3}, "premises": {"u": 3}, "target": "l"}, "answer": {"steps": [["r", "a + 4", "a + 18"], ["a", "g + 6", "g + 24"], ["g", "o + 14", "o + 38"], ["o", "b + 6", "b + 44"], ["b", "u + 18", "u + 62"], ["u", 3, "65"]], "target_var_name": "l", "target_value": 65, "value_dict": {"u": 3}, "is_reverse": true}}
| 2,700
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = 3; r = a + 4; d = p + 2; l = r + 14; w = u + 5; x = t + 19; b = u + 18; v = w + 17; p = v + 5; g = o + 14; o = b + 6; a = g + 6; t = d + 8. If u = 3, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = a + 4 to l, which gives l = a + 18.\n2. Substitute a = g + 6 to l, which gives l = g + 24.\n3. Substitute g = o + 14 to l, which gives l = o + 38.\n4. Substitute o = b + 6 to l, which gives l = b + 44.\n5. Substitute b = u + 18 to l, which gives l = u + 62.\n6. Substitute u = 3 to l, which gives l = 65.\n\nThus, the final answer is l = \\boxed{65}.",
"index": 2700,
"question": "Consider a system of variables where each variable is defined as follows: u = 3; r = a + 4; d = p + 2; l = r + 14; w = u + 5; x = t + 19; b = u + 18; v = w + 17; p = v + 5; g = o + 14; o = b + 6; a = g + 6; t = d + 8. If u = 3, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"g": "r + 18", "z": "g + 9", "x": "z + 17", "n": "x + 19", "e": "n + 20", "i": "e + 8", "l": "r + 17", "a": "l + 16", "p": "a + 13", "s": "p + 1", "o": "s + 5", "j": "o + 13", "r": 11}, "premises": {"r": 11}, "target": "i"}, "answer": {"steps": [["e", "n + 20", "n + 28"], ["n", "x + 19", "x + 47"], ["x", "z + 17", "z + 64"], ["z", "g + 9", "g + 73"], ["g", "r + 18", "r + 91"], ["r", 11, "102"]], "target_var_name": "i", "target_value": 102, "value_dict": {"r": 11}, "is_reverse": true}}
| 2,701
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = x + 19; j = o + 13; i = e + 8; o = s + 5; l = r + 17; p = a + 13; r = 11; s = p + 1; g = r + 18; x = z + 17; z = g + 9; e = n + 20; a = l + 16. If r = 11, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 102,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = n + 20 to i, which gives i = n + 28.\n2. Substitute n = x + 19 to i, which gives i = x + 47.\n3. Substitute x = z + 17 to i, which gives i = z + 64.\n4. Substitute z = g + 9 to i, which gives i = g + 73.\n5. Substitute g = r + 18 to i, which gives i = r + 91.\n6. Substitute r = 11 to i, which gives i = 102.\n\nThus, the final answer is i = \\boxed{102}.",
"index": 2701,
"question": "Consider a system of variables where each variable is defined as follows: n = x + 19; j = o + 13; i = e + 8; o = s + 5; l = r + 17; p = a + 13; r = 11; s = p + 1; g = r + 18; x = z + 17; z = g + 9; e = n + 20; a = l + 16. If r = 11, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"q": "r + 15", "j": "q + 4", "d": "j + 15", "h": "d + 13", "e": "h + 16", "i": "e + 2", "o": "r + 10", "w": "o + 10", "a": "w + 5", "g": "a + 7", "p": "g + 7", "z": "p + 7", "r": 16}, "premises": {"r": 16}, "target": "i"}, "answer": {"steps": [["e", "h + 16", "h + 18"], ["h", "d + 13", "d + 31"], ["d", "j + 15", "j + 46"], ["j", "q + 4", "q + 50"], ["q", "r + 15", "r + 65"], ["r", 16, "81"]], "target_var_name": "i", "target_value": 81, "value_dict": {"r": 16}, "is_reverse": true}}
| 2,702
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = g + 7; z = p + 7; d = j + 15; q = r + 15; h = d + 13; a = w + 5; g = a + 7; w = o + 10; i = e + 2; r = 16; j = q + 4; o = r + 10; e = h + 16. If r = 16, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = h + 16 to i, which gives i = h + 18.\n2. Substitute h = d + 13 to i, which gives i = d + 31.\n3. Substitute d = j + 15 to i, which gives i = j + 46.\n4. Substitute j = q + 4 to i, which gives i = q + 50.\n5. Substitute q = r + 15 to i, which gives i = r + 65.\n6. Substitute r = 16 to i, which gives i = 81.\n\nThus, the final answer is i = \\boxed{81}.",
"index": 2702,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = g + 7; z = p + 7; d = j + 15; q = r + 15; h = d + 13; a = w + 5; g = a + 7; w = o + 10; i = e + 2; r = 16; j = q + 4; o = r + 10; e = h + 16. If r = 16, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"l": "g + 17", "k": "l + 18", "v": "k + 15", "p": "v + 1", "w": "p + 20", "s": "w + 20", "d": "g + 10", "a": "d + 15", "q": "a + 3", "x": "q + 10", "b": "x + 15", "i": "b + 18", "g": 14}, "premises": {"g": 14}, "target": "s"}, "answer": {"steps": [["w", "p + 20", "p + 40"], ["p", "v + 1", "v + 41"], ["v", "k + 15", "k + 56"], ["k", "l + 18", "l + 74"], ["l", "g + 17", "g + 91"], ["g", 14, "105"]], "target_var_name": "s", "target_value": 105, "value_dict": {"g": 14}, "is_reverse": true}}
| 2,703
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = 14; w = p + 20; s = w + 20; l = g + 17; k = l + 18; x = q + 10; a = d + 15; b = x + 15; p = v + 1; d = g + 10; i = b + 18; v = k + 15; q = a + 3. Given that g = 14, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 105,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = p + 20 to s, which gives s = p + 40.\n2. Substitute p = v + 1 to s, which gives s = v + 41.\n3. Substitute v = k + 15 to s, which gives s = k + 56.\n4. Substitute k = l + 18 to s, which gives s = l + 74.\n5. Substitute l = g + 17 to s, which gives s = g + 91.\n6. Substitute g = 14 to s, which gives s = 105.\n\nThus, the final answer is s = \\boxed{105}.",
"index": 2703,
"question": "Suppose a collection of variables is related by the following definitions: g = 14; w = p + 20; s = w + 20; l = g + 17; k = l + 18; x = q + 10; a = d + 15; b = x + 15; p = v + 1; d = g + 10; i = b + 18; v = k + 15; q = a + 3. Given that g = 14, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"d": "o + 14", "i": "d + 12", "h": "i + 4", "f": "h + 12", "b": "f + 9", "k": "b + 8", "y": "o + 2", "s": "y + 12", "u": "s + 5", "x": "u + 2", "e": "x + 8", "p": "e + 16", "o": 2}, "premises": {"o": 2}, "target": "k"}, "answer": {"steps": [["b", "f + 9", "f + 17"], ["f", "h + 12", "h + 29"], ["h", "i + 4", "i + 33"], ["i", "d + 12", "d + 45"], ["d", "o + 14", "o + 59"], ["o", 2, "61"]], "target_var_name": "k", "target_value": 61, "value_dict": {"o": 2}, "is_reverse": true}}
| 2,704
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = y + 12; d = o + 14; p = e + 16; i = d + 12; u = s + 5; o = 2; b = f + 9; h = i + 4; e = x + 8; x = u + 2; f = h + 12; y = o + 2; k = b + 8. Given that o = 2, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = f + 9 to k, which gives k = f + 17.\n2. Substitute f = h + 12 to k, which gives k = h + 29.\n3. Substitute h = i + 4 to k, which gives k = i + 33.\n4. Substitute i = d + 12 to k, which gives k = d + 45.\n5. Substitute d = o + 14 to k, which gives k = o + 59.\n6. Substitute o = 2 to k, which gives k = 61.\n\nThus, the final answer is k = \\boxed{61}.",
"index": 2704,
"question": "Suppose a collection of variables is related by the following definitions: s = y + 12; d = o + 14; p = e + 16; i = d + 12; u = s + 5; o = 2; b = f + 9; h = i + 4; e = x + 8; x = u + 2; f = h + 12; y = o + 2; k = b + 8. Given that o = 2, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"f": "v + 5", "o": "f + 2", "k": "o + 13", "w": "k + 1", "l": "w + 2", "c": "l + 3", "t": "v + 15", "a": "t + 4", "m": "a + 10", "n": "m + 17", "z": "n + 1", "j": "z + 2", "v": 1}, "premises": {"v": 1}, "target": "c"}, "answer": {"steps": [["l", "w + 2", "w + 5"], ["w", "k + 1", "k + 6"], ["k", "o + 13", "o + 19"], ["o", "f + 2", "f + 21"], ["f", "v + 5", "v + 26"], ["v", 1, "27"]], "target_var_name": "c", "target_value": 27, "value_dict": {"v": 1}, "is_reverse": true}}
| 2,705
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = f + 2; j = z + 2; a = t + 4; w = k + 1; k = o + 13; n = m + 17; f = v + 5; m = a + 10; t = v + 15; l = w + 2; z = n + 1; c = l + 3; v = 1. If v = 1, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 27,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = w + 2 to c, which gives c = w + 5.\n2. Substitute w = k + 1 to c, which gives c = k + 6.\n3. Substitute k = o + 13 to c, which gives c = o + 19.\n4. Substitute o = f + 2 to c, which gives c = f + 21.\n5. Substitute f = v + 5 to c, which gives c = v + 26.\n6. Substitute v = 1 to c, which gives c = 27.\n\nThus, the final answer is c = \\boxed{27}.",
"index": 2705,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = f + 2; j = z + 2; a = t + 4; w = k + 1; k = o + 13; n = m + 17; f = v + 5; m = a + 10; t = v + 15; l = w + 2; z = n + 1; c = l + 3; v = 1. If v = 1, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"o": "u + 4", "k": "o + 10", "h": "k + 2", "d": "h + 13", "q": "d + 3", "s": "q + 11", "l": "u + 15", "x": "l + 17", "j": "x + 17", "m": "j + 4", "y": "m + 15", "n": "y + 7", "u": 18}, "premises": {"u": 18}, "target": "s"}, "answer": {"steps": [["q", "d + 3", "d + 14"], ["d", "h + 13", "h + 27"], ["h", "k + 2", "k + 29"], ["k", "o + 10", "o + 39"], ["o", "u + 4", "u + 43"], ["u", 18, "61"]], "target_var_name": "s", "target_value": 61, "value_dict": {"u": 18}, "is_reverse": true}}
| 2,706
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = u + 15; n = y + 7; y = m + 15; h = k + 2; u = 18; d = h + 13; q = d + 3; j = x + 17; m = j + 4; s = q + 11; k = o + 10; o = u + 4; x = l + 17. If u = 18, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = d + 3 to s, which gives s = d + 14.\n2. Substitute d = h + 13 to s, which gives s = h + 27.\n3. Substitute h = k + 2 to s, which gives s = k + 29.\n4. Substitute k = o + 10 to s, which gives s = o + 39.\n5. Substitute o = u + 4 to s, which gives s = u + 43.\n6. Substitute u = 18 to s, which gives s = 61.\n\nThus, the final answer is s = \\boxed{61}.",
"index": 2706,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = u + 15; n = y + 7; y = m + 15; h = k + 2; u = 18; d = h + 13; q = d + 3; j = x + 17; m = j + 4; s = q + 11; k = o + 10; o = u + 4; x = l + 17. If u = 18, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"u": "z + 5", "x": "u + 10", "i": "x + 4", "c": "i + 4", "n": "c + 14", "p": "n + 10", "a": "z + 20", "r": "a + 11", "k": "r + 4", "v": "k + 3", "g": "v + 3", "y": "g + 11", "z": 12}, "premises": {"z": 12}, "target": "p"}, "answer": {"steps": [["n", "c + 14", "c + 24"], ["c", "i + 4", "i + 28"], ["i", "x + 4", "x + 32"], ["x", "u + 10", "u + 42"], ["u", "z + 5", "z + 47"], ["z", 12, "59"]], "target_var_name": "p", "target_value": 59, "value_dict": {"z": 12}, "is_reverse": true}}
| 2,707
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = u + 10; c = i + 4; k = r + 4; g = v + 3; u = z + 5; i = x + 4; v = k + 3; z = 12; a = z + 20; n = c + 14; r = a + 11; y = g + 11; p = n + 10. Given that z = 12, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = c + 14 to p, which gives p = c + 24.\n2. Substitute c = i + 4 to p, which gives p = i + 28.\n3. Substitute i = x + 4 to p, which gives p = x + 32.\n4. Substitute x = u + 10 to p, which gives p = u + 42.\n5. Substitute u = z + 5 to p, which gives p = z + 47.\n6. Substitute z = 12 to p, which gives p = 59.\n\nThus, the final answer is p = \\boxed{59}.",
"index": 2707,
"question": "Suppose a collection of variables is related by the following definitions: x = u + 10; c = i + 4; k = r + 4; g = v + 3; u = z + 5; i = x + 4; v = k + 3; z = 12; a = z + 20; n = c + 14; r = a + 11; y = g + 11; p = n + 10. Given that z = 12, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"d": "z + 16", "v": "d + 4", "u": "v + 13", "j": "u + 7", "b": "j + 7", "e": "b + 4", "s": "z + 3", "r": "s + 2", "a": "r + 15", "t": "a + 8", "k": "t + 16", "l": "k + 17", "z": 4}, "premises": {"z": 4}, "target": "e"}, "answer": {"steps": [["b", "j + 7", "j + 11"], ["j", "u + 7", "u + 18"], ["u", "v + 13", "v + 31"], ["v", "d + 4", "d + 35"], ["d", "z + 16", "z + 51"], ["z", 4, "55"]], "target_var_name": "e", "target_value": 55, "value_dict": {"z": 4}, "is_reverse": true}}
| 2,708
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = a + 8; s = z + 3; a = r + 15; d = z + 16; b = j + 7; e = b + 4; k = t + 16; v = d + 4; u = v + 13; r = s + 2; z = 4; l = k + 17; j = u + 7. If z = 4, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = j + 7 to e, which gives e = j + 11.\n2. Substitute j = u + 7 to e, which gives e = u + 18.\n3. Substitute u = v + 13 to e, which gives e = v + 31.\n4. Substitute v = d + 4 to e, which gives e = d + 35.\n5. Substitute d = z + 16 to e, which gives e = z + 51.\n6. Substitute z = 4 to e, which gives e = 55.\n\nThus, the final answer is e = \\boxed{55}.",
"index": 2708,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = a + 8; s = z + 3; a = r + 15; d = z + 16; b = j + 7; e = b + 4; k = t + 16; v = d + 4; u = v + 13; r = s + 2; z = 4; l = k + 17; j = u + 7. If z = 4, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"k": "f + 11", "o": "k + 18", "b": "o + 7", "s": "b + 19", "e": "s + 17", "j": "e + 18", "d": "f + 14", "m": "d + 20", "a": "m + 16", "h": "a + 6", "v": "h + 10", "g": "v + 10", "f": 16}, "premises": {"f": 16}, "target": "j"}, "answer": {"steps": [["e", "s + 17", "s + 35"], ["s", "b + 19", "b + 54"], ["b", "o + 7", "o + 61"], ["o", "k + 18", "k + 79"], ["k", "f + 11", "f + 90"], ["f", 16, "106"]], "target_var_name": "j", "target_value": 106, "value_dict": {"f": 16}, "is_reverse": true}}
| 2,709
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = 16; s = b + 19; e = s + 17; b = o + 7; d = f + 14; o = k + 18; g = v + 10; j = e + 18; a = m + 16; m = d + 20; v = h + 10; h = a + 6; k = f + 11. If f = 16, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 106,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = s + 17 to j, which gives j = s + 35.\n2. Substitute s = b + 19 to j, which gives j = b + 54.\n3. Substitute b = o + 7 to j, which gives j = o + 61.\n4. Substitute o = k + 18 to j, which gives j = k + 79.\n5. Substitute k = f + 11 to j, which gives j = f + 90.\n6. Substitute f = 16 to j, which gives j = 106.\n\nThus, the final answer is j = \\boxed{106}.",
"index": 2709,
"question": "Consider a system of variables where each variable is defined as follows: f = 16; s = b + 19; e = s + 17; b = o + 7; d = f + 14; o = k + 18; g = v + 10; j = e + 18; a = m + 16; m = d + 20; v = h + 10; h = a + 6; k = f + 11. If f = 16, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"x": "t + 12", "q": "x + 1", "b": "q + 3", "o": "b + 1", "i": "o + 15", "u": "i + 18", "s": "t + 19", "h": "s + 18", "c": "h + 5", "k": "c + 4", "w": "k + 20", "d": "w + 18", "t": 11}, "premises": {"t": 11}, "target": "u"}, "answer": {"steps": [["i", "o + 15", "o + 33"], ["o", "b + 1", "b + 34"], ["b", "q + 3", "q + 37"], ["q", "x + 1", "x + 38"], ["x", "t + 12", "t + 50"], ["t", 11, "61"]], "target_var_name": "u", "target_value": 61, "value_dict": {"t": 11}, "is_reverse": true}}
| 2,710
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = b + 1; w = k + 20; t = 11; q = x + 1; s = t + 19; u = i + 18; h = s + 18; k = c + 4; x = t + 12; c = h + 5; i = o + 15; b = q + 3; d = w + 18. If t = 11, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = o + 15 to u, which gives u = o + 33.\n2. Substitute o = b + 1 to u, which gives u = b + 34.\n3. Substitute b = q + 3 to u, which gives u = q + 37.\n4. Substitute q = x + 1 to u, which gives u = x + 38.\n5. Substitute x = t + 12 to u, which gives u = t + 50.\n6. Substitute t = 11 to u, which gives u = 61.\n\nThus, the final answer is u = \\boxed{61}.",
"index": 2710,
"question": "Consider a system of variables where each variable is defined as follows: o = b + 1; w = k + 20; t = 11; q = x + 1; s = t + 19; u = i + 18; h = s + 18; k = c + 4; x = t + 12; c = h + 5; i = o + 15; b = q + 3; d = w + 18. If t = 11, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"g": "m + 14", "a": "g + 9", "j": "a + 14", "k": "j + 20", "o": "k + 13", "q": "o + 13", "x": "m + 14", "e": "x + 19", "z": "e + 4", "c": "z + 7", "p": "c + 7", "n": "p + 3", "m": 8}, "premises": {"m": 8}, "target": "q"}, "answer": {"steps": [["o", "k + 13", "k + 26"], ["k", "j + 20", "j + 46"], ["j", "a + 14", "a + 60"], ["a", "g + 9", "g + 69"], ["g", "m + 14", "m + 83"], ["m", 8, "91"]], "target_var_name": "q", "target_value": 91, "value_dict": {"m": 8}, "is_reverse": true}}
| 2,711
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = m + 14; a = g + 9; j = a + 14; e = x + 19; g = m + 14; m = 8; c = z + 7; n = p + 3; p = c + 7; q = o + 13; o = k + 13; z = e + 4; k = j + 20. Given that m = 8, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = k + 13 to q, which gives q = k + 26.\n2. Substitute k = j + 20 to q, which gives q = j + 46.\n3. Substitute j = a + 14 to q, which gives q = a + 60.\n4. Substitute a = g + 9 to q, which gives q = g + 69.\n5. Substitute g = m + 14 to q, which gives q = m + 83.\n6. Substitute m = 8 to q, which gives q = 91.\n\nThus, the final answer is q = \\boxed{91}.",
"index": 2711,
"question": "Suppose a collection of variables is related by the following definitions: x = m + 14; a = g + 9; j = a + 14; e = x + 19; g = m + 14; m = 8; c = z + 7; n = p + 3; p = c + 7; q = o + 13; o = k + 13; z = e + 4; k = j + 20. Given that m = 8, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"y": "g + 7", "s": "y + 9", "a": "s + 8", "b": "a + 9", "d": "b + 18", "c": "d + 12", "e": "g + 2", "k": "e + 16", "p": "k + 6", "l": "p + 5", "q": "l + 14", "f": "q + 17", "g": 5}, "premises": {"g": 5}, "target": "c"}, "answer": {"steps": [["d", "b + 18", "b + 30"], ["b", "a + 9", "a + 39"], ["a", "s + 8", "s + 47"], ["s", "y + 9", "y + 56"], ["y", "g + 7", "g + 63"], ["g", 5, "68"]], "target_var_name": "c", "target_value": 68, "value_dict": {"g": 5}, "is_reverse": true}}
| 2,712
| 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 = e + 16; d = b + 18; b = a + 9; c = d + 12; y = g + 7; p = k + 6; q = l + 14; f = q + 17; g = 5; a = s + 8; l = p + 5; e = g + 2; s = y + 9. If g = 5, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = b + 18 to c, which gives c = b + 30.\n2. Substitute b = a + 9 to c, which gives c = a + 39.\n3. Substitute a = s + 8 to c, which gives c = s + 47.\n4. Substitute s = y + 9 to c, which gives c = y + 56.\n5. Substitute y = g + 7 to c, which gives c = g + 63.\n6. Substitute g = 5 to c, which gives c = 68.\n\nThus, the final answer is c = \\boxed{68}.",
"index": 2712,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = e + 16; d = b + 18; b = a + 9; c = d + 12; y = g + 7; p = k + 6; q = l + 14; f = q + 17; g = 5; a = s + 8; l = p + 5; e = g + 2; s = y + 9. If g = 5, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"l": "s + 12", "x": "l + 1", "i": "x + 19", "c": "i + 9", "r": "c + 2", "d": "r + 17", "b": "s + 1", "h": "b + 12", "q": "h + 16", "g": "q + 7", "f": "g + 7", "t": "f + 3", "s": 16}, "premises": {"s": 16}, "target": "d"}, "answer": {"steps": [["r", "c + 2", "c + 19"], ["c", "i + 9", "i + 28"], ["i", "x + 19", "x + 47"], ["x", "l + 1", "l + 48"], ["l", "s + 12", "s + 60"], ["s", 16, "76"]], "target_var_name": "d", "target_value": 76, "value_dict": {"s": 16}, "is_reverse": true}}
| 2,713
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = i + 9; q = h + 16; r = c + 2; g = q + 7; f = g + 7; l = s + 12; x = l + 1; i = x + 19; h = b + 12; s = 16; t = f + 3; b = s + 1; d = r + 17. Given that s = 16, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = c + 2 to d, which gives d = c + 19.\n2. Substitute c = i + 9 to d, which gives d = i + 28.\n3. Substitute i = x + 19 to d, which gives d = x + 47.\n4. Substitute x = l + 1 to d, which gives d = l + 48.\n5. Substitute l = s + 12 to d, which gives d = s + 60.\n6. Substitute s = 16 to d, which gives d = 76.\n\nThus, the final answer is d = \\boxed{76}.",
"index": 2713,
"question": "Suppose a collection of variables is related by the following definitions: c = i + 9; q = h + 16; r = c + 2; g = q + 7; f = g + 7; l = s + 12; x = l + 1; i = x + 19; h = b + 12; s = 16; t = f + 3; b = s + 1; d = r + 17. Given that s = 16, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"b": "t + 11", "w": "b + 19", "h": "w + 14", "v": "h + 5", "n": "v + 11", "e": "n + 12", "u": "t + 9", "a": "u + 8", "q": "a + 16", "m": "q + 20", "k": "m + 3", "f": "k + 1", "t": 5}, "premises": {"t": 5}, "target": "e"}, "answer": {"steps": [["n", "v + 11", "v + 23"], ["v", "h + 5", "h + 28"], ["h", "w + 14", "w + 42"], ["w", "b + 19", "b + 61"], ["b", "t + 11", "t + 72"], ["t", 5, "77"]], "target_var_name": "e", "target_value": 77, "value_dict": {"t": 5}, "is_reverse": true}}
| 2,714
| 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 = h + 5; b = t + 11; e = n + 12; t = 5; a = u + 8; w = b + 19; m = q + 20; f = k + 1; h = w + 14; n = v + 11; q = a + 16; u = t + 9; k = m + 3. If t = 5, 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 n = v + 11 to e, which gives e = v + 23.\n2. Substitute v = h + 5 to e, which gives e = h + 28.\n3. Substitute h = w + 14 to e, which gives e = w + 42.\n4. Substitute w = b + 19 to e, which gives e = b + 61.\n5. Substitute b = t + 11 to e, which gives e = t + 72.\n6. Substitute t = 5 to e, which gives e = 77.\n\nThus, the final answer is e = \\boxed{77}.",
"index": 2714,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = h + 5; b = t + 11; e = n + 12; t = 5; a = u + 8; w = b + 19; m = q + 20; f = k + 1; h = w + 14; n = v + 11; q = a + 16; u = t + 9; k = m + 3. If t = 5, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"e": "h + 8", "o": "e + 6", "m": "o + 4", "v": "m + 17", "d": "v + 17", "k": "d + 4", "j": "h + 20", "q": "j + 2", "i": "q + 14", "a": "i + 7", "u": "a + 17", "w": "u + 19", "h": 5}, "premises": {"h": 5}, "target": "k"}, "answer": {"steps": [["d", "v + 17", "v + 21"], ["v", "m + 17", "m + 38"], ["m", "o + 4", "o + 42"], ["o", "e + 6", "e + 48"], ["e", "h + 8", "h + 56"], ["h", 5, "61"]], "target_var_name": "k", "target_value": 61, "value_dict": {"h": 5}, "is_reverse": true}}
| 2,715
| 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 = d + 4; q = j + 2; j = h + 20; o = e + 6; e = h + 8; d = v + 17; u = a + 17; w = u + 19; a = i + 7; v = m + 17; h = 5; i = q + 14; m = o + 4. If h = 5, what is the resulting 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 d = v + 17 to k, which gives k = v + 21.\n2. Substitute v = m + 17 to k, which gives k = m + 38.\n3. Substitute m = o + 4 to k, which gives k = o + 42.\n4. Substitute o = e + 6 to k, which gives k = e + 48.\n5. Substitute e = h + 8 to k, which gives k = h + 56.\n6. Substitute h = 5 to k, which gives k = 61.\n\nThus, the final answer is k = \\boxed{61}.",
"index": 2715,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = d + 4; q = j + 2; j = h + 20; o = e + 6; e = h + 8; d = v + 17; u = a + 17; w = u + 19; a = i + 7; v = m + 17; h = 5; i = q + 14; m = o + 4. If h = 5, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"b": "c + 4", "o": "b + 9", "x": "o + 7", "e": "x + 9", "p": "e + 13", "m": "p + 12", "u": "c + 2", "t": "u + 5", "f": "t + 15", "i": "f + 4", "h": "i + 6", "n": "h + 19", "c": 15}, "premises": {"c": 15}, "target": "m"}, "answer": {"steps": [["p", "e + 13", "e + 25"], ["e", "x + 9", "x + 34"], ["x", "o + 7", "o + 41"], ["o", "b + 9", "b + 50"], ["b", "c + 4", "c + 54"], ["c", 15, "69"]], "target_var_name": "m", "target_value": 69, "value_dict": {"c": 15}, "is_reverse": true}}
| 2,716
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = 15; p = e + 13; n = h + 19; e = x + 9; i = f + 4; x = o + 7; h = i + 6; b = c + 4; f = t + 15; t = u + 5; u = c + 2; m = p + 12; o = b + 9. If c = 15, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = e + 13 to m, which gives m = e + 25.\n2. Substitute e = x + 9 to m, which gives m = x + 34.\n3. Substitute x = o + 7 to m, which gives m = o + 41.\n4. Substitute o = b + 9 to m, which gives m = b + 50.\n5. Substitute b = c + 4 to m, which gives m = c + 54.\n6. Substitute c = 15 to m, which gives m = 69.\n\nThus, the final answer is m = \\boxed{69}.",
"index": 2716,
"question": "Consider a system of variables where each variable is defined as follows: c = 15; p = e + 13; n = h + 19; e = x + 9; i = f + 4; x = o + 7; h = i + 6; b = c + 4; f = t + 15; t = u + 5; u = c + 2; m = p + 12; o = b + 9. If c = 15, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"x": "q + 5", "f": "x + 7", "h": "f + 1", "a": "h + 12", "v": "a + 13", "m": "v + 2", "z": "q + 8", "j": "z + 15", "c": "j + 13", "e": "c + 1", "i": "e + 5", "p": "i + 5", "q": 9}, "premises": {"q": 9}, "target": "m"}, "answer": {"steps": [["v", "a + 13", "a + 15"], ["a", "h + 12", "h + 27"], ["h", "f + 1", "f + 28"], ["f", "x + 7", "x + 35"], ["x", "q + 5", "q + 40"], ["q", 9, "49"]], "target_var_name": "m", "target_value": 49, "value_dict": {"q": 9}, "is_reverse": true}}
| 2,717
| 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 = q + 5; e = c + 1; m = v + 2; a = h + 12; p = i + 5; c = j + 13; v = a + 13; q = 9; j = z + 15; f = x + 7; h = f + 1; z = q + 8; i = e + 5. If q = 9, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = a + 13 to m, which gives m = a + 15.\n2. Substitute a = h + 12 to m, which gives m = h + 27.\n3. Substitute h = f + 1 to m, which gives m = f + 28.\n4. Substitute f = x + 7 to m, which gives m = x + 35.\n5. Substitute x = q + 5 to m, which gives m = q + 40.\n6. Substitute q = 9 to m, which gives m = 49.\n\nThus, the final answer is m = \\boxed{49}.",
"index": 2717,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = q + 5; e = c + 1; m = v + 2; a = h + 12; p = i + 5; c = j + 13; v = a + 13; q = 9; j = z + 15; f = x + 7; h = f + 1; z = q + 8; i = e + 5. If q = 9, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"u": "l + 9", "h": "u + 2", "n": "h + 15", "s": "n + 9", "v": "s + 3", "m": "v + 1", "k": "l + 14", "b": "k + 7", "a": "b + 13", "d": "a + 1", "y": "d + 7", "c": "y + 3", "l": 13}, "premises": {"l": 13}, "target": "m"}, "answer": {"steps": [["v", "s + 3", "s + 4"], ["s", "n + 9", "n + 13"], ["n", "h + 15", "h + 28"], ["h", "u + 2", "u + 30"], ["u", "l + 9", "l + 39"], ["l", 13, "52"]], "target_var_name": "m", "target_value": 52, "value_dict": {"l": 13}, "is_reverse": true}}
| 2,718
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = v + 1; n = h + 15; y = d + 7; s = n + 9; u = l + 9; k = l + 14; c = y + 3; a = b + 13; d = a + 1; v = s + 3; l = 13; b = k + 7; h = u + 2. Given that l = 13, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 52,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = s + 3 to m, which gives m = s + 4.\n2. Substitute s = n + 9 to m, which gives m = n + 13.\n3. Substitute n = h + 15 to m, which gives m = h + 28.\n4. Substitute h = u + 2 to m, which gives m = u + 30.\n5. Substitute u = l + 9 to m, which gives m = l + 39.\n6. Substitute l = 13 to m, which gives m = 52.\n\nThus, the final answer is m = \\boxed{52}.",
"index": 2718,
"question": "Suppose a collection of variables is related by the following definitions: m = v + 1; n = h + 15; y = d + 7; s = n + 9; u = l + 9; k = l + 14; c = y + 3; a = b + 13; d = a + 1; v = s + 3; l = 13; b = k + 7; h = u + 2. Given that l = 13, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"j": "x + 6", "a": "j + 2", "h": "a + 19", "y": "h + 11", "i": "y + 13", "q": "i + 6", "z": "x + 2", "d": "z + 19", "c": "d + 9", "g": "c + 12", "e": "g + 3", "m": "e + 9", "x": 8}, "premises": {"x": 8}, "target": "q"}, "answer": {"steps": [["i", "y + 13", "y + 19"], ["y", "h + 11", "h + 30"], ["h", "a + 19", "a + 49"], ["a", "j + 2", "j + 51"], ["j", "x + 6", "x + 57"], ["x", 8, "65"]], "target_var_name": "q", "target_value": 65, "value_dict": {"x": 8}, "is_reverse": true}}
| 2,719
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = 8; z = x + 2; d = z + 19; a = j + 2; q = i + 6; j = x + 6; i = y + 13; m = e + 9; y = h + 11; c = d + 9; e = g + 3; g = c + 12; h = a + 19. Given that x = 8, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = y + 13 to q, which gives q = y + 19.\n2. Substitute y = h + 11 to q, which gives q = h + 30.\n3. Substitute h = a + 19 to q, which gives q = a + 49.\n4. Substitute a = j + 2 to q, which gives q = j + 51.\n5. Substitute j = x + 6 to q, which gives q = x + 57.\n6. Substitute x = 8 to q, which gives q = 65.\n\nThus, the final answer is q = \\boxed{65}.",
"index": 2719,
"question": "Suppose a collection of variables is related by the following definitions: x = 8; z = x + 2; d = z + 19; a = j + 2; q = i + 6; j = x + 6; i = y + 13; m = e + 9; y = h + 11; c = d + 9; e = g + 3; g = c + 12; h = a + 19. Given that x = 8, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"j": "o + 11", "k": "j + 20", "t": "k + 17", "c": "t + 16", "e": "c + 12", "y": "e + 14", "p": "o + 17", "f": "p + 20", "s": "f + 8", "x": "s + 15", "n": "x + 15", "d": "n + 14", "o": 16}, "premises": {"o": 16}, "target": "y"}, "answer": {"steps": [["e", "c + 12", "c + 26"], ["c", "t + 16", "t + 42"], ["t", "k + 17", "k + 59"], ["k", "j + 20", "j + 79"], ["j", "o + 11", "o + 90"], ["o", 16, "106"]], "target_var_name": "y", "target_value": 106, "value_dict": {"o": 16}, "is_reverse": true}}
| 2,720
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = x + 15; o = 16; c = t + 16; p = o + 17; s = f + 8; d = n + 14; x = s + 15; y = e + 14; j = o + 11; e = c + 12; t = k + 17; k = j + 20; f = p + 20. If o = 16, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 106,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = c + 12 to y, which gives y = c + 26.\n2. Substitute c = t + 16 to y, which gives y = t + 42.\n3. Substitute t = k + 17 to y, which gives y = k + 59.\n4. Substitute k = j + 20 to y, which gives y = j + 79.\n5. Substitute j = o + 11 to y, which gives y = o + 90.\n6. Substitute o = 16 to y, which gives y = 106.\n\nThus, the final answer is y = \\boxed{106}.",
"index": 2720,
"question": "Consider a system of variables where each variable is defined as follows: n = x + 15; o = 16; c = t + 16; p = o + 17; s = f + 8; d = n + 14; x = s + 15; y = e + 14; j = o + 11; e = c + 12; t = k + 17; k = j + 20; f = p + 20. If o = 16, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"l": "s + 12", "r": "l + 4", "m": "r + 7", "o": "m + 20", "y": "o + 17", "z": "y + 15", "n": "s + 10", "p": "n + 18", "x": "p + 6", "q": "x + 17", "k": "q + 13", "t": "k + 12", "s": 2}, "premises": {"s": 2}, "target": "z"}, "answer": {"steps": [["y", "o + 17", "o + 32"], ["o", "m + 20", "m + 52"], ["m", "r + 7", "r + 59"], ["r", "l + 4", "l + 63"], ["l", "s + 12", "s + 75"], ["s", 2, "77"]], "target_var_name": "z", "target_value": 77, "value_dict": {"s": 2}, "is_reverse": true}}
| 2,721
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = m + 20; m = r + 7; s = 2; l = s + 12; n = s + 10; k = q + 13; y = o + 17; t = k + 12; x = p + 6; r = l + 4; q = x + 17; z = y + 15; p = n + 18. If s = 2, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = o + 17 to z, which gives z = o + 32.\n2. Substitute o = m + 20 to z, which gives z = m + 52.\n3. Substitute m = r + 7 to z, which gives z = r + 59.\n4. Substitute r = l + 4 to z, which gives z = l + 63.\n5. Substitute l = s + 12 to z, which gives z = s + 75.\n6. Substitute s = 2 to z, which gives z = 77.\n\nThus, the final answer is z = \\boxed{77}.",
"index": 2721,
"question": "Consider a system of variables where each variable is defined as follows: o = m + 20; m = r + 7; s = 2; l = s + 12; n = s + 10; k = q + 13; y = o + 17; t = k + 12; x = p + 6; r = l + 4; q = x + 17; z = y + 15; p = n + 18. If s = 2, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"n": "e + 20", "a": "n + 15", "j": "a + 14", "o": "j + 16", "g": "o + 4", "t": "g + 11", "c": "e + 15", "l": "c + 7", "p": "l + 18", "i": "p + 12", "u": "i + 16", "w": "u + 18", "e": 7}, "premises": {"e": 7}, "target": "t"}, "answer": {"steps": [["g", "o + 4", "o + 15"], ["o", "j + 16", "j + 31"], ["j", "a + 14", "a + 45"], ["a", "n + 15", "n + 60"], ["n", "e + 20", "e + 80"], ["e", 7, "87"]], "target_var_name": "t", "target_value": 87, "value_dict": {"e": 7}, "is_reverse": true}}
| 2,722
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = o + 4; j = a + 14; t = g + 11; e = 7; o = j + 16; i = p + 12; p = l + 18; l = c + 7; c = e + 15; n = e + 20; u = i + 16; w = u + 18; a = n + 15. Given that e = 7, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = o + 4 to t, which gives t = o + 15.\n2. Substitute o = j + 16 to t, which gives t = j + 31.\n3. Substitute j = a + 14 to t, which gives t = a + 45.\n4. Substitute a = n + 15 to t, which gives t = n + 60.\n5. Substitute n = e + 20 to t, which gives t = e + 80.\n6. Substitute e = 7 to t, which gives t = 87.\n\nThus, the final answer is t = \\boxed{87}.",
"index": 2722,
"question": "Suppose a collection of variables is related by the following definitions: g = o + 4; j = a + 14; t = g + 11; e = 7; o = j + 16; i = p + 12; p = l + 18; l = c + 7; c = e + 15; n = e + 20; u = i + 16; w = u + 18; a = n + 15. Given that e = 7, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"p": "k + 13", "a": "p + 17", "c": "a + 1", "r": "c + 1", "f": "r + 5", "t": "f + 9", "u": "k + 1", "j": "u + 17", "z": "j + 19", "g": "z + 8", "w": "g + 16", "l": "w + 14", "k": 19}, "premises": {"k": 19}, "target": "t"}, "answer": {"steps": [["f", "r + 5", "r + 14"], ["r", "c + 1", "c + 15"], ["c", "a + 1", "a + 16"], ["a", "p + 17", "p + 33"], ["p", "k + 13", "k + 46"], ["k", 19, "65"]], "target_var_name": "t", "target_value": 65, "value_dict": {"k": 19}, "is_reverse": true}}
| 2,723
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = k + 13; w = g + 16; z = j + 19; a = p + 17; j = u + 17; t = f + 9; k = 19; c = a + 1; f = r + 5; r = c + 1; l = w + 14; g = z + 8; u = k + 1. If k = 19, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = r + 5 to t, which gives t = r + 14.\n2. Substitute r = c + 1 to t, which gives t = c + 15.\n3. Substitute c = a + 1 to t, which gives t = a + 16.\n4. Substitute a = p + 17 to t, which gives t = p + 33.\n5. Substitute p = k + 13 to t, which gives t = k + 46.\n6. Substitute k = 19 to t, which gives t = 65.\n\nThus, the final answer is t = \\boxed{65}.",
"index": 2723,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = k + 13; w = g + 16; z = j + 19; a = p + 17; j = u + 17; t = f + 9; k = 19; c = a + 1; f = r + 5; r = c + 1; l = w + 14; g = z + 8; u = k + 1. If k = 19, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"b": "f + 2", "q": "b + 8", "l": "q + 19", "i": "l + 2", "h": "i + 9", "r": "h + 16", "j": "f + 13", "v": "j + 3", "x": "v + 5", "w": "x + 10", "m": "w + 13", "s": "m + 20", "f": 20}, "premises": {"f": 20}, "target": "r"}, "answer": {"steps": [["h", "i + 9", "i + 25"], ["i", "l + 2", "l + 27"], ["l", "q + 19", "q + 46"], ["q", "b + 8", "b + 54"], ["b", "f + 2", "f + 56"], ["f", 20, "76"]], "target_var_name": "r", "target_value": 76, "value_dict": {"f": 20}, "is_reverse": true}}
| 2,724
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = f + 2; q = b + 8; m = w + 13; r = h + 16; v = j + 3; h = i + 9; s = m + 20; l = q + 19; w = x + 10; j = f + 13; i = l + 2; x = v + 5; f = 20. Given that f = 20, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = i + 9 to r, which gives r = i + 25.\n2. Substitute i = l + 2 to r, which gives r = l + 27.\n3. Substitute l = q + 19 to r, which gives r = q + 46.\n4. Substitute q = b + 8 to r, which gives r = b + 54.\n5. Substitute b = f + 2 to r, which gives r = f + 56.\n6. Substitute f = 20 to r, which gives r = 76.\n\nThus, the final answer is r = \\boxed{76}.",
"index": 2724,
"question": "Suppose a collection of variables is related by the following definitions: b = f + 2; q = b + 8; m = w + 13; r = h + 16; v = j + 3; h = i + 9; s = m + 20; l = q + 19; w = x + 10; j = f + 13; i = l + 2; x = v + 5; f = 20. Given that f = 20, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"w": "y + 3", "s": "w + 14", "u": "s + 5", "a": "u + 2", "z": "a + 8", "o": "z + 7", "e": "y + 6", "t": "e + 7", "g": "t + 14", "d": "g + 2", "h": "d + 9", "n": "h + 20", "y": 16}, "premises": {"y": 16}, "target": "o"}, "answer": {"steps": [["z", "a + 8", "a + 15"], ["a", "u + 2", "u + 17"], ["u", "s + 5", "s + 22"], ["s", "w + 14", "w + 36"], ["w", "y + 3", "y + 39"], ["y", 16, "55"]], "target_var_name": "o", "target_value": 55, "value_dict": {"y": 16}, "is_reverse": true}}
| 2,725
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = z + 7; w = y + 3; h = d + 9; e = y + 6; g = t + 14; y = 16; s = w + 14; a = u + 2; t = e + 7; n = h + 20; d = g + 2; u = s + 5; z = a + 8. If y = 16, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = a + 8 to o, which gives o = a + 15.\n2. Substitute a = u + 2 to o, which gives o = u + 17.\n3. Substitute u = s + 5 to o, which gives o = s + 22.\n4. Substitute s = w + 14 to o, which gives o = w + 36.\n5. Substitute w = y + 3 to o, which gives o = y + 39.\n6. Substitute y = 16 to o, which gives o = 55.\n\nThus, the final answer is o = \\boxed{55}.",
"index": 2725,
"question": "Consider a system of variables where each variable is defined as follows: o = z + 7; w = y + 3; h = d + 9; e = y + 6; g = t + 14; y = 16; s = w + 14; a = u + 2; t = e + 7; n = h + 20; d = g + 2; u = s + 5; z = a + 8. If y = 16, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"f": "d + 1", "r": "f + 11", "g": "r + 18", "h": "g + 3", "k": "h + 6", "n": "k + 7", "c": "d + 7", "m": "c + 11", "y": "m + 3", "w": "y + 2", "a": "w + 20", "v": "a + 1", "d": 1}, "premises": {"d": 1}, "target": "n"}, "answer": {"steps": [["k", "h + 6", "h + 13"], ["h", "g + 3", "g + 16"], ["g", "r + 18", "r + 34"], ["r", "f + 11", "f + 45"], ["f", "d + 1", "d + 46"], ["d", 1, "47"]], "target_var_name": "n", "target_value": 47, "value_dict": {"d": 1}, "is_reverse": true}}
| 2,726
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = y + 2; f = d + 1; c = d + 7; m = c + 11; a = w + 20; h = g + 3; d = 1; g = r + 18; v = a + 1; k = h + 6; n = k + 7; r = f + 11; y = m + 3. Given that d = 1, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 47,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = h + 6 to n, which gives n = h + 13.\n2. Substitute h = g + 3 to n, which gives n = g + 16.\n3. Substitute g = r + 18 to n, which gives n = r + 34.\n4. Substitute r = f + 11 to n, which gives n = f + 45.\n5. Substitute f = d + 1 to n, which gives n = d + 46.\n6. Substitute d = 1 to n, which gives n = 47.\n\nThus, the final answer is n = \\boxed{47}.",
"index": 2726,
"question": "Suppose a collection of variables is related by the following definitions: w = y + 2; f = d + 1; c = d + 7; m = c + 11; a = w + 20; h = g + 3; d = 1; g = r + 18; v = a + 1; k = h + 6; n = k + 7; r = f + 11; y = m + 3. Given that d = 1, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"z": "c + 10", "x": "z + 12", "l": "x + 7", "k": "l + 2", "b": "k + 15", "a": "b + 10", "q": "c + 9", "m": "q + 1", "o": "m + 1", "y": "o + 19", "u": "y + 20", "v": "u + 5", "c": 14}, "premises": {"c": 14}, "target": "a"}, "answer": {"steps": [["b", "k + 15", "k + 25"], ["k", "l + 2", "l + 27"], ["l", "x + 7", "x + 34"], ["x", "z + 12", "z + 46"], ["z", "c + 10", "c + 56"], ["c", 14, "70"]], "target_var_name": "a", "target_value": 70, "value_dict": {"c": 14}, "is_reverse": true}}
| 2,727
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = m + 1; v = u + 5; k = l + 2; u = y + 20; z = c + 10; m = q + 1; q = c + 9; l = x + 7; x = z + 12; c = 14; y = o + 19; b = k + 15; a = b + 10. If c = 14, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = k + 15 to a, which gives a = k + 25.\n2. Substitute k = l + 2 to a, which gives a = l + 27.\n3. Substitute l = x + 7 to a, which gives a = x + 34.\n4. Substitute x = z + 12 to a, which gives a = z + 46.\n5. Substitute z = c + 10 to a, which gives a = c + 56.\n6. Substitute c = 14 to a, which gives a = 70.\n\nThus, the final answer is a = \\boxed{70}.",
"index": 2727,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = m + 1; v = u + 5; k = l + 2; u = y + 20; z = c + 10; m = q + 1; q = c + 9; l = x + 7; x = z + 12; c = 14; y = o + 19; b = k + 15; a = b + 10. If c = 14, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"r": "a + 11", "q": "r + 8", "i": "q + 5", "c": "i + 1", "f": "c + 14", "n": "f + 8", "k": "a + 2", "x": "k + 6", "h": "x + 6", "d": "h + 8", "o": "d + 16", "w": "o + 20", "a": 18}, "premises": {"a": 18}, "target": "n"}, "answer": {"steps": [["f", "c + 14", "c + 22"], ["c", "i + 1", "i + 23"], ["i", "q + 5", "q + 28"], ["q", "r + 8", "r + 36"], ["r", "a + 11", "a + 47"], ["a", 18, "65"]], "target_var_name": "n", "target_value": 65, "value_dict": {"a": 18}, "is_reverse": true}}
| 2,728
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = x + 6; w = o + 20; a = 18; f = c + 14; k = a + 2; x = k + 6; i = q + 5; r = a + 11; d = h + 8; o = d + 16; c = i + 1; n = f + 8; q = r + 8. Given that a = 18, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = c + 14 to n, which gives n = c + 22.\n2. Substitute c = i + 1 to n, which gives n = i + 23.\n3. Substitute i = q + 5 to n, which gives n = q + 28.\n4. Substitute q = r + 8 to n, which gives n = r + 36.\n5. Substitute r = a + 11 to n, which gives n = a + 47.\n6. Substitute a = 18 to n, which gives n = 65.\n\nThus, the final answer is n = \\boxed{65}.",
"index": 2728,
"question": "Suppose a collection of variables is related by the following definitions: h = x + 6; w = o + 20; a = 18; f = c + 14; k = a + 2; x = k + 6; i = q + 5; r = a + 11; d = h + 8; o = d + 16; c = i + 1; n = f + 8; q = r + 8. Given that a = 18, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"t": "j + 6", "m": "t + 7", "e": "m + 2", "x": "e + 14", "b": "x + 6", "y": "b + 9", "z": "j + 7", "c": "z + 4", "k": "c + 10", "i": "k + 14", "d": "i + 19", "g": "d + 10", "j": 16}, "premises": {"j": 16}, "target": "y"}, "answer": {"steps": [["b", "x + 6", "x + 15"], ["x", "e + 14", "e + 29"], ["e", "m + 2", "m + 31"], ["m", "t + 7", "t + 38"], ["t", "j + 6", "j + 44"], ["j", 16, "60"]], "target_var_name": "y", "target_value": 60, "value_dict": {"j": 16}, "is_reverse": true}}
| 2,729
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = k + 14; c = z + 4; b = x + 6; j = 16; x = e + 14; e = m + 2; t = j + 6; d = i + 19; z = j + 7; g = d + 10; y = b + 9; m = t + 7; k = c + 10. If j = 16, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = x + 6 to y, which gives y = x + 15.\n2. Substitute x = e + 14 to y, which gives y = e + 29.\n3. Substitute e = m + 2 to y, which gives y = m + 31.\n4. Substitute m = t + 7 to y, which gives y = t + 38.\n5. Substitute t = j + 6 to y, which gives y = j + 44.\n6. Substitute j = 16 to y, which gives y = 60.\n\nThus, the final answer is y = \\boxed{60}.",
"index": 2729,
"question": "Consider a system of variables where each variable is defined as follows: i = k + 14; c = z + 4; b = x + 6; j = 16; x = e + 14; e = m + 2; t = j + 6; d = i + 19; z = j + 7; g = d + 10; y = b + 9; m = t + 7; k = c + 10. If j = 16, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"z": "o + 3", "d": "z + 13", "r": "d + 6", "y": "r + 4", "t": "y + 8", "p": "t + 6", "m": "o + 18", "w": "m + 5", "i": "w + 10", "b": "i + 16", "x": "b + 13", "l": "x + 1", "o": 8}, "premises": {"o": 8}, "target": "p"}, "answer": {"steps": [["t", "y + 8", "y + 14"], ["y", "r + 4", "r + 18"], ["r", "d + 6", "d + 24"], ["d", "z + 13", "z + 37"], ["z", "o + 3", "o + 40"], ["o", 8, "48"]], "target_var_name": "p", "target_value": 48, "value_dict": {"o": 8}, "is_reverse": true}}
| 2,730
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = o + 18; z = o + 3; d = z + 13; t = y + 8; o = 8; l = x + 1; p = t + 6; w = m + 5; i = w + 10; b = i + 16; r = d + 6; x = b + 13; y = r + 4. If o = 8, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 48,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = y + 8 to p, which gives p = y + 14.\n2. Substitute y = r + 4 to p, which gives p = r + 18.\n3. Substitute r = d + 6 to p, which gives p = d + 24.\n4. Substitute d = z + 13 to p, which gives p = z + 37.\n5. Substitute z = o + 3 to p, which gives p = o + 40.\n6. Substitute o = 8 to p, which gives p = 48.\n\nThus, the final answer is p = \\boxed{48}.",
"index": 2730,
"question": "Consider a system of variables where each variable is defined as follows: m = o + 18; z = o + 3; d = z + 13; t = y + 8; o = 8; l = x + 1; p = t + 6; w = m + 5; i = w + 10; b = i + 16; r = d + 6; x = b + 13; y = r + 4. If o = 8, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"c": "k + 14", "j": "c + 11", "e": "j + 4", "i": "e + 3", "n": "i + 10", "o": "n + 19", "w": "k + 1", "z": "w + 12", "f": "z + 13", "m": "f + 14", "v": "m + 7", "l": "v + 11", "k": 4}, "premises": {"k": 4}, "target": "o"}, "answer": {"steps": [["n", "i + 10", "i + 29"], ["i", "e + 3", "e + 32"], ["e", "j + 4", "j + 36"], ["j", "c + 11", "c + 47"], ["c", "k + 14", "k + 61"], ["k", 4, "65"]], "target_var_name": "o", "target_value": 65, "value_dict": {"k": 4}, "is_reverse": true}}
| 2,731
| 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 = m + 7; i = e + 3; c = k + 14; j = c + 11; z = w + 12; l = v + 11; w = k + 1; m = f + 14; o = n + 19; f = z + 13; n = i + 10; k = 4; e = j + 4. If k = 4, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = i + 10 to o, which gives o = i + 29.\n2. Substitute i = e + 3 to o, which gives o = e + 32.\n3. Substitute e = j + 4 to o, which gives o = j + 36.\n4. Substitute j = c + 11 to o, which gives o = c + 47.\n5. Substitute c = k + 14 to o, which gives o = k + 61.\n6. Substitute k = 4 to o, which gives o = 65.\n\nThus, the final answer is o = \\boxed{65}.",
"index": 2731,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = m + 7; i = e + 3; c = k + 14; j = c + 11; z = w + 12; l = v + 11; w = k + 1; m = f + 14; o = n + 19; f = z + 13; n = i + 10; k = 4; e = j + 4. If k = 4, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"g": "n + 12", "f": "g + 9", "y": "f + 11", "r": "y + 18", "k": "r + 17", "i": "k + 2", "v": "n + 5", "s": "v + 20", "d": "s + 16", "m": "d + 18", "t": "m + 9", "a": "t + 9", "n": 20}, "premises": {"n": 20}, "target": "i"}, "answer": {"steps": [["k", "r + 17", "r + 19"], ["r", "y + 18", "y + 37"], ["y", "f + 11", "f + 48"], ["f", "g + 9", "g + 57"], ["g", "n + 12", "n + 69"], ["n", 20, "89"]], "target_var_name": "i", "target_value": 89, "value_dict": {"n": 20}, "is_reverse": true}}
| 2,732
| 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 = d + 18; a = t + 9; y = f + 11; k = r + 17; f = g + 9; g = n + 12; i = k + 2; s = v + 20; v = n + 5; d = s + 16; r = y + 18; t = m + 9; n = 20. If n = 20, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = r + 17 to i, which gives i = r + 19.\n2. Substitute r = y + 18 to i, which gives i = y + 37.\n3. Substitute y = f + 11 to i, which gives i = f + 48.\n4. Substitute f = g + 9 to i, which gives i = g + 57.\n5. Substitute g = n + 12 to i, which gives i = n + 69.\n6. Substitute n = 20 to i, which gives i = 89.\n\nThus, the final answer is i = \\boxed{89}.",
"index": 2732,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = d + 18; a = t + 9; y = f + 11; k = r + 17; f = g + 9; g = n + 12; i = k + 2; s = v + 20; v = n + 5; d = s + 16; r = y + 18; t = m + 9; n = 20. If n = 20, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"d": "h + 17", "r": "d + 20", "k": "r + 2", "c": "k + 2", "w": "c + 7", "f": "w + 5", "v": "h + 10", "s": "v + 7", "m": "s + 12", "q": "m + 15", "l": "q + 14", "u": "l + 14", "h": 7}, "premises": {"h": 7}, "target": "f"}, "answer": {"steps": [["w", "c + 7", "c + 12"], ["c", "k + 2", "k + 14"], ["k", "r + 2", "r + 16"], ["r", "d + 20", "d + 36"], ["d", "h + 17", "h + 53"], ["h", 7, "60"]], "target_var_name": "f", "target_value": 60, "value_dict": {"h": 7}, "is_reverse": true}}
| 2,733
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = h + 10; f = w + 5; w = c + 7; u = l + 14; r = d + 20; h = 7; s = v + 7; k = r + 2; l = q + 14; d = h + 17; m = s + 12; q = m + 15; c = k + 2. If h = 7, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = c + 7 to f, which gives f = c + 12.\n2. Substitute c = k + 2 to f, which gives f = k + 14.\n3. Substitute k = r + 2 to f, which gives f = r + 16.\n4. Substitute r = d + 20 to f, which gives f = d + 36.\n5. Substitute d = h + 17 to f, which gives f = h + 53.\n6. Substitute h = 7 to f, which gives f = 60.\n\nThus, the final answer is f = \\boxed{60}.",
"index": 2733,
"question": "Consider a system of variables where each variable is defined as follows: v = h + 10; f = w + 5; w = c + 7; u = l + 14; r = d + 20; h = 7; s = v + 7; k = r + 2; l = q + 14; d = h + 17; m = s + 12; q = m + 15; c = k + 2. If h = 7, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"v": "b + 4", "a": "v + 13", "o": "a + 11", "f": "o + 13", "p": "f + 8", "z": "p + 4", "u": "b + 9", "k": "u + 16", "c": "k + 20", "e": "c + 4", "d": "e + 13", "h": "d + 13", "b": 19}, "premises": {"b": 19}, "target": "z"}, "answer": {"steps": [["p", "f + 8", "f + 12"], ["f", "o + 13", "o + 25"], ["o", "a + 11", "a + 36"], ["a", "v + 13", "v + 49"], ["v", "b + 4", "b + 53"], ["b", 19, "72"]], "target_var_name": "z", "target_value": 72, "value_dict": {"b": 19}, "is_reverse": true}}
| 2,734
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = u + 16; b = 19; a = v + 13; u = b + 9; c = k + 20; e = c + 4; f = o + 13; v = b + 4; d = e + 13; h = d + 13; p = f + 8; z = p + 4; o = a + 11. If b = 19, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = f + 8 to z, which gives z = f + 12.\n2. Substitute f = o + 13 to z, which gives z = o + 25.\n3. Substitute o = a + 11 to z, which gives z = a + 36.\n4. Substitute a = v + 13 to z, which gives z = v + 49.\n5. Substitute v = b + 4 to z, which gives z = b + 53.\n6. Substitute b = 19 to z, which gives z = 72.\n\nThus, the final answer is z = \\boxed{72}.",
"index": 2734,
"question": "Consider a system of variables where each variable is defined as follows: k = u + 16; b = 19; a = v + 13; u = b + 9; c = k + 20; e = c + 4; f = o + 13; v = b + 4; d = e + 13; h = d + 13; p = f + 8; z = p + 4; o = a + 11. If b = 19, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"x": "n + 19", "v": "x + 16", "h": "v + 18", "j": "h + 15", "r": "j + 9", "d": "r + 7", "l": "n + 10", "c": "l + 4", "f": "c + 6", "a": "f + 4", "y": "a + 9", "e": "y + 12", "n": 2}, "premises": {"n": 2}, "target": "d"}, "answer": {"steps": [["r", "j + 9", "j + 16"], ["j", "h + 15", "h + 31"], ["h", "v + 18", "v + 49"], ["v", "x + 16", "x + 65"], ["x", "n + 19", "n + 84"], ["n", 2, "86"]], "target_var_name": "d", "target_value": 86, "value_dict": {"n": 2}, "is_reverse": true}}
| 2,735
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = l + 4; v = x + 16; y = a + 9; a = f + 4; l = n + 10; e = y + 12; h = v + 18; d = r + 7; n = 2; x = n + 19; r = j + 9; f = c + 6; j = h + 15. If n = 2, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = j + 9 to d, which gives d = j + 16.\n2. Substitute j = h + 15 to d, which gives d = h + 31.\n3. Substitute h = v + 18 to d, which gives d = v + 49.\n4. Substitute v = x + 16 to d, which gives d = x + 65.\n5. Substitute x = n + 19 to d, which gives d = n + 84.\n6. Substitute n = 2 to d, which gives d = 86.\n\nThus, the final answer is d = \\boxed{86}.",
"index": 2735,
"question": "Consider a system of variables where each variable is defined as follows: c = l + 4; v = x + 16; y = a + 9; a = f + 4; l = n + 10; e = y + 12; h = v + 18; d = r + 7; n = 2; x = n + 19; r = j + 9; f = c + 6; j = h + 15. If n = 2, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"q": "y + 8", "z": "q + 13", "p": "z + 13", "w": "p + 4", "c": "w + 3", "k": "c + 13", "i": "y + 15", "h": "i + 6", "d": "h + 20", "u": "d + 19", "v": "u + 14", "m": "v + 9", "y": 17}, "premises": {"y": 17}, "target": "k"}, "answer": {"steps": [["c", "w + 3", "w + 16"], ["w", "p + 4", "p + 20"], ["p", "z + 13", "z + 33"], ["z", "q + 13", "q + 46"], ["q", "y + 8", "y + 54"], ["y", 17, "71"]], "target_var_name": "k", "target_value": 71, "value_dict": {"y": 17}, "is_reverse": true}}
| 2,736
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = i + 6; y = 17; q = y + 8; w = p + 4; k = c + 13; d = h + 20; z = q + 13; p = z + 13; u = d + 19; v = u + 14; i = y + 15; c = w + 3; m = v + 9. If y = 17, what is the resulting 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 c = w + 3 to k, which gives k = w + 16.\n2. Substitute w = p + 4 to k, which gives k = p + 20.\n3. Substitute p = z + 13 to k, which gives k = z + 33.\n4. Substitute z = q + 13 to k, which gives k = q + 46.\n5. Substitute q = y + 8 to k, which gives k = y + 54.\n6. Substitute y = 17 to k, which gives k = 71.\n\nThus, the final answer is k = \\boxed{71}.",
"index": 2736,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = i + 6; y = 17; q = y + 8; w = p + 4; k = c + 13; d = h + 20; z = q + 13; p = z + 13; u = d + 19; v = u + 14; i = y + 15; c = w + 3; m = v + 9. If y = 17, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"x": "y + 6", "p": "x + 16", "q": "p + 8", "d": "q + 4", "z": "d + 5", "k": "z + 1", "n": "y + 9", "c": "n + 6", "m": "c + 5", "v": "m + 10", "f": "v + 18", "g": "f + 19", "y": 17}, "premises": {"y": 17}, "target": "k"}, "answer": {"steps": [["z", "d + 5", "d + 6"], ["d", "q + 4", "q + 10"], ["q", "p + 8", "p + 18"], ["p", "x + 16", "x + 34"], ["x", "y + 6", "y + 40"], ["y", 17, "57"]], "target_var_name": "k", "target_value": 57, "value_dict": {"y": 17}, "is_reverse": true}}
| 2,737
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = y + 6; d = q + 4; v = m + 10; p = x + 16; c = n + 6; g = f + 19; m = c + 5; n = y + 9; f = v + 18; k = z + 1; q = p + 8; y = 17; z = d + 5. If y = 17, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = d + 5 to k, which gives k = d + 6.\n2. Substitute d = q + 4 to k, which gives k = q + 10.\n3. Substitute q = p + 8 to k, which gives k = p + 18.\n4. Substitute p = x + 16 to k, which gives k = x + 34.\n5. Substitute x = y + 6 to k, which gives k = y + 40.\n6. Substitute y = 17 to k, which gives k = 57.\n\nThus, the final answer is k = \\boxed{57}.",
"index": 2737,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = y + 6; d = q + 4; v = m + 10; p = x + 16; c = n + 6; g = f + 19; m = c + 5; n = y + 9; f = v + 18; k = z + 1; q = p + 8; y = 17; z = d + 5. If y = 17, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"g": "d + 15", "s": "g + 12", "u": "s + 1", "e": "u + 1", "m": "e + 15", "o": "m + 8", "i": "d + 15", "a": "i + 17", "k": "a + 18", "t": "k + 1", "y": "t + 18", "c": "y + 13", "d": 20}, "premises": {"d": 20}, "target": "o"}, "answer": {"steps": [["m", "e + 15", "e + 23"], ["e", "u + 1", "u + 24"], ["u", "s + 1", "s + 25"], ["s", "g + 12", "g + 37"], ["g", "d + 15", "d + 52"], ["d", 20, "72"]], "target_var_name": "o", "target_value": 72, "value_dict": {"d": 20}, "is_reverse": true}}
| 2,738
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = s + 1; a = i + 17; y = t + 18; i = d + 15; c = y + 13; s = g + 12; e = u + 1; t = k + 1; g = d + 15; d = 20; k = a + 18; m = e + 15; o = m + 8. If d = 20, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = e + 15 to o, which gives o = e + 23.\n2. Substitute e = u + 1 to o, which gives o = u + 24.\n3. Substitute u = s + 1 to o, which gives o = s + 25.\n4. Substitute s = g + 12 to o, which gives o = g + 37.\n5. Substitute g = d + 15 to o, which gives o = d + 52.\n6. Substitute d = 20 to o, which gives o = 72.\n\nThus, the final answer is o = \\boxed{72}.",
"index": 2738,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = s + 1; a = i + 17; y = t + 18; i = d + 15; c = y + 13; s = g + 12; e = u + 1; t = k + 1; g = d + 15; d = 20; k = a + 18; m = e + 15; o = m + 8. If d = 20, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"w": "c + 16", "i": "w + 4", "n": "i + 4", "p": "n + 15", "u": "p + 20", "o": "u + 9", "v": "c + 16", "q": "v + 17", "k": "q + 13", "b": "k + 10", "f": "b + 17", "l": "f + 14", "c": 2}, "premises": {"c": 2}, "target": "o"}, "answer": {"steps": [["u", "p + 20", "p + 29"], ["p", "n + 15", "n + 44"], ["n", "i + 4", "i + 48"], ["i", "w + 4", "w + 52"], ["w", "c + 16", "c + 68"], ["c", 2, "70"]], "target_var_name": "o", "target_value": 70, "value_dict": {"c": 2}, "is_reverse": true}}
| 2,739
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = i + 4; k = q + 13; p = n + 15; b = k + 10; w = c + 16; l = f + 14; o = u + 9; i = w + 4; c = 2; u = p + 20; f = b + 17; v = c + 16; q = v + 17. If c = 2, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = p + 20 to o, which gives o = p + 29.\n2. Substitute p = n + 15 to o, which gives o = n + 44.\n3. Substitute n = i + 4 to o, which gives o = i + 48.\n4. Substitute i = w + 4 to o, which gives o = w + 52.\n5. Substitute w = c + 16 to o, which gives o = c + 68.\n6. Substitute c = 2 to o, which gives o = 70.\n\nThus, the final answer is o = \\boxed{70}.",
"index": 2739,
"question": "Consider a system of variables where each variable is defined as follows: n = i + 4; k = q + 13; p = n + 15; b = k + 10; w = c + 16; l = f + 14; o = u + 9; i = w + 4; c = 2; u = p + 20; f = b + 17; v = c + 16; q = v + 17. If c = 2, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"p": "c + 7", "n": "p + 7", "d": "n + 8", "i": "d + 3", "e": "i + 15", "q": "e + 6", "l": "c + 19", "m": "l + 10", "f": "m + 3", "t": "f + 20", "v": "t + 4", "o": "v + 7", "c": 8}, "premises": {"c": 8}, "target": "q"}, "answer": {"steps": [["e", "i + 15", "i + 21"], ["i", "d + 3", "d + 24"], ["d", "n + 8", "n + 32"], ["n", "p + 7", "p + 39"], ["p", "c + 7", "c + 46"], ["c", 8, "54"]], "target_var_name": "q", "target_value": 54, "value_dict": {"c": 8}, "is_reverse": true}}
| 2,740
| 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 = t + 4; m = l + 10; e = i + 15; q = e + 6; n = p + 7; c = 8; i = d + 3; f = m + 3; d = n + 8; t = f + 20; o = v + 7; l = c + 19; p = c + 7. If c = 8, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = i + 15 to q, which gives q = i + 21.\n2. Substitute i = d + 3 to q, which gives q = d + 24.\n3. Substitute d = n + 8 to q, which gives q = n + 32.\n4. Substitute n = p + 7 to q, which gives q = p + 39.\n5. Substitute p = c + 7 to q, which gives q = c + 46.\n6. Substitute c = 8 to q, which gives q = 54.\n\nThus, the final answer is q = \\boxed{54}.",
"index": 2740,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = t + 4; m = l + 10; e = i + 15; q = e + 6; n = p + 7; c = 8; i = d + 3; f = m + 3; d = n + 8; t = f + 20; o = v + 7; l = c + 19; p = c + 7. If c = 8, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"i": "u + 18", "q": "i + 5", "l": "q + 14", "p": "l + 19", "d": "p + 6", "s": "d + 2", "b": "u + 17", "c": "b + 10", "a": "c + 4", "n": "a + 12", "k": "n + 15", "r": "k + 19", "u": 20}, "premises": {"u": 20}, "target": "s"}, "answer": {"steps": [["d", "p + 6", "p + 8"], ["p", "l + 19", "l + 27"], ["l", "q + 14", "q + 41"], ["q", "i + 5", "i + 46"], ["i", "u + 18", "u + 64"], ["u", 20, "84"]], "target_var_name": "s", "target_value": 84, "value_dict": {"u": 20}, "is_reverse": true}}
| 2,741
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = u + 17; k = n + 15; u = 20; l = q + 14; q = i + 5; c = b + 10; r = k + 19; n = a + 12; a = c + 4; d = p + 6; s = d + 2; p = l + 19; i = u + 18. Given that u = 20, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = p + 6 to s, which gives s = p + 8.\n2. Substitute p = l + 19 to s, which gives s = l + 27.\n3. Substitute l = q + 14 to s, which gives s = q + 41.\n4. Substitute q = i + 5 to s, which gives s = i + 46.\n5. Substitute i = u + 18 to s, which gives s = u + 64.\n6. Substitute u = 20 to s, which gives s = 84.\n\nThus, the final answer is s = \\boxed{84}.",
"index": 2741,
"question": "Suppose a collection of variables is related by the following definitions: b = u + 17; k = n + 15; u = 20; l = q + 14; q = i + 5; c = b + 10; r = k + 19; n = a + 12; a = c + 4; d = p + 6; s = d + 2; p = l + 19; i = u + 18. Given that u = 20, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"c": "v + 14", "i": "c + 17", "r": "i + 15", "a": "r + 2", "x": "a + 10", "e": "x + 2", "p": "v + 14", "y": "p + 10", "h": "y + 10", "j": "h + 1", "l": "j + 15", "n": "l + 12", "v": 19}, "premises": {"v": 19}, "target": "e"}, "answer": {"steps": [["x", "a + 10", "a + 12"], ["a", "r + 2", "r + 14"], ["r", "i + 15", "i + 29"], ["i", "c + 17", "c + 46"], ["c", "v + 14", "v + 60"], ["v", 19, "79"]], "target_var_name": "e", "target_value": 79, "value_dict": {"v": 19}, "is_reverse": true}}
| 2,742
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = c + 17; a = r + 2; r = i + 15; l = j + 15; x = a + 10; c = v + 14; h = y + 10; y = p + 10; p = v + 14; e = x + 2; n = l + 12; v = 19; j = h + 1. If v = 19, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = a + 10 to e, which gives e = a + 12.\n2. Substitute a = r + 2 to e, which gives e = r + 14.\n3. Substitute r = i + 15 to e, which gives e = i + 29.\n4. Substitute i = c + 17 to e, which gives e = c + 46.\n5. Substitute c = v + 14 to e, which gives e = v + 60.\n6. Substitute v = 19 to e, which gives e = 79.\n\nThus, the final answer is e = \\boxed{79}.",
"index": 2742,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = c + 17; a = r + 2; r = i + 15; l = j + 15; x = a + 10; c = v + 14; h = y + 10; y = p + 10; p = v + 14; e = x + 2; n = l + 12; v = 19; j = h + 1. If v = 19, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"l": "i + 2", "d": "l + 7", "g": "d + 7", "r": "g + 3", "z": "r + 5", "x": "z + 5", "m": "i + 7", "c": "m + 10", "j": "c + 3", "p": "j + 18", "u": "p + 14", "t": "u + 12", "i": 5}, "premises": {"i": 5}, "target": "x"}, "answer": {"steps": [["z", "r + 5", "r + 10"], ["r", "g + 3", "g + 13"], ["g", "d + 7", "d + 20"], ["d", "l + 7", "l + 27"], ["l", "i + 2", "i + 29"], ["i", 5, "34"]], "target_var_name": "x", "target_value": 34, "value_dict": {"i": 5}, "is_reverse": true}}
| 2,743
| 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 + 5; x = z + 5; c = m + 10; d = l + 7; p = j + 18; g = d + 7; i = 5; t = u + 12; m = i + 7; u = p + 14; r = g + 3; l = i + 2; j = c + 3. If i = 5, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 34,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = r + 5 to x, which gives x = r + 10.\n2. Substitute r = g + 3 to x, which gives x = g + 13.\n3. Substitute g = d + 7 to x, which gives x = d + 20.\n4. Substitute d = l + 7 to x, which gives x = l + 27.\n5. Substitute l = i + 2 to x, which gives x = i + 29.\n6. Substitute i = 5 to x, which gives x = 34.\n\nThus, the final answer is x = \\boxed{34}.",
"index": 2743,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = r + 5; x = z + 5; c = m + 10; d = l + 7; p = j + 18; g = d + 7; i = 5; t = u + 12; m = i + 7; u = p + 14; r = g + 3; l = i + 2; j = c + 3. If i = 5, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"x": "a + 5", "l": "x + 17", "f": "l + 13", "i": "f + 17", "c": "i + 17", "o": "c + 9", "d": "a + 20", "v": "d + 9", "k": "v + 4", "u": "k + 6", "b": "u + 11", "g": "b + 9", "a": 8}, "premises": {"a": 8}, "target": "o"}, "answer": {"steps": [["c", "i + 17", "i + 26"], ["i", "f + 17", "f + 43"], ["f", "l + 13", "l + 56"], ["l", "x + 17", "x + 73"], ["x", "a + 5", "a + 78"], ["a", 8, "86"]], "target_var_name": "o", "target_value": 86, "value_dict": {"a": 8}, "is_reverse": true}}
| 2,744
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = a + 20; x = a + 5; f = l + 13; b = u + 11; k = v + 4; c = i + 17; o = c + 9; u = k + 6; i = f + 17; v = d + 9; g = b + 9; a = 8; l = x + 17. If a = 8, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = i + 17 to o, which gives o = i + 26.\n2. Substitute i = f + 17 to o, which gives o = f + 43.\n3. Substitute f = l + 13 to o, which gives o = l + 56.\n4. Substitute l = x + 17 to o, which gives o = x + 73.\n5. Substitute x = a + 5 to o, which gives o = a + 78.\n6. Substitute a = 8 to o, which gives o = 86.\n\nThus, the final answer is o = \\boxed{86}.",
"index": 2744,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = a + 20; x = a + 5; f = l + 13; b = u + 11; k = v + 4; c = i + 17; o = c + 9; u = k + 6; i = f + 17; v = d + 9; g = b + 9; a = 8; l = x + 17. If a = 8, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"g": "e + 16", "h": "g + 14", "s": "h + 15", "x": "s + 10", "j": "x + 9", "a": "j + 8", "f": "e + 9", "b": "f + 20", "n": "b + 14", "i": "n + 1", "l": "i + 17", "y": "l + 16", "e": 13}, "premises": {"e": 13}, "target": "a"}, "answer": {"steps": [["j", "x + 9", "x + 17"], ["x", "s + 10", "s + 27"], ["s", "h + 15", "h + 42"], ["h", "g + 14", "g + 56"], ["g", "e + 16", "e + 72"], ["e", 13, "85"]], "target_var_name": "a", "target_value": 85, "value_dict": {"e": 13}, "is_reverse": true}}
| 2,745
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = x + 9; y = l + 16; l = i + 17; g = e + 16; n = b + 14; i = n + 1; e = 13; s = h + 15; a = j + 8; b = f + 20; f = e + 9; h = g + 14; x = s + 10. Given that e = 13, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = x + 9 to a, which gives a = x + 17.\n2. Substitute x = s + 10 to a, which gives a = s + 27.\n3. Substitute s = h + 15 to a, which gives a = h + 42.\n4. Substitute h = g + 14 to a, which gives a = g + 56.\n5. Substitute g = e + 16 to a, which gives a = e + 72.\n6. Substitute e = 13 to a, which gives a = 85.\n\nThus, the final answer is a = \\boxed{85}.",
"index": 2745,
"question": "Suppose a collection of variables is related by the following definitions: j = x + 9; y = l + 16; l = i + 17; g = e + 16; n = b + 14; i = n + 1; e = 13; s = h + 15; a = j + 8; b = f + 20; f = e + 9; h = g + 14; x = s + 10. Given that e = 13, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"a": "u + 1", "c": "a + 5", "d": "c + 6", "r": "d + 12", "f": "r + 7", "s": "f + 18", "l": "u + 20", "v": "l + 8", "p": "v + 15", "g": "p + 19", "q": "g + 6", "h": "q + 10", "u": 14}, "premises": {"u": 14}, "target": "s"}, "answer": {"steps": [["f", "r + 7", "r + 25"], ["r", "d + 12", "d + 37"], ["d", "c + 6", "c + 43"], ["c", "a + 5", "a + 48"], ["a", "u + 1", "u + 49"], ["u", 14, "63"]], "target_var_name": "s", "target_value": 63, "value_dict": {"u": 14}, "is_reverse": true}}
| 2,746
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = v + 15; a = u + 1; u = 14; d = c + 6; h = q + 10; l = u + 20; c = a + 5; r = d + 12; g = p + 19; f = r + 7; v = l + 8; s = f + 18; q = g + 6. If u = 14, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = r + 7 to s, which gives s = r + 25.\n2. Substitute r = d + 12 to s, which gives s = d + 37.\n3. Substitute d = c + 6 to s, which gives s = c + 43.\n4. Substitute c = a + 5 to s, which gives s = a + 48.\n5. Substitute a = u + 1 to s, which gives s = u + 49.\n6. Substitute u = 14 to s, which gives s = 63.\n\nThus, the final answer is s = \\boxed{63}.",
"index": 2746,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = v + 15; a = u + 1; u = 14; d = c + 6; h = q + 10; l = u + 20; c = a + 5; r = d + 12; g = p + 19; f = r + 7; v = l + 8; s = f + 18; q = g + 6. If u = 14, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"h": "j + 8", "f": "h + 3", "t": "f + 8", "s": "t + 20", "r": "s + 9", "g": "r + 6", "w": "j + 16", "m": "w + 12", "d": "m + 4", "v": "d + 4", "e": "v + 6", "l": "e + 7", "j": 12}, "premises": {"j": 12}, "target": "g"}, "answer": {"steps": [["r", "s + 9", "s + 15"], ["s", "t + 20", "t + 35"], ["t", "f + 8", "f + 43"], ["f", "h + 3", "h + 46"], ["h", "j + 8", "j + 54"], ["j", 12, "66"]], "target_var_name": "g", "target_value": 66, "value_dict": {"j": 12}, "is_reverse": true}}
| 2,747
| 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 + 4; j = 12; g = r + 6; r = s + 9; h = j + 8; e = v + 6; t = f + 8; m = w + 12; s = t + 20; d = m + 4; w = j + 16; f = h + 3; l = e + 7. If j = 12, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = s + 9 to g, which gives g = s + 15.\n2. Substitute s = t + 20 to g, which gives g = t + 35.\n3. Substitute t = f + 8 to g, which gives g = f + 43.\n4. Substitute f = h + 3 to g, which gives g = h + 46.\n5. Substitute h = j + 8 to g, which gives g = j + 54.\n6. Substitute j = 12 to g, which gives g = 66.\n\nThus, the final answer is g = \\boxed{66}.",
"index": 2747,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = d + 4; j = 12; g = r + 6; r = s + 9; h = j + 8; e = v + 6; t = f + 8; m = w + 12; s = t + 20; d = m + 4; w = j + 16; f = h + 3; l = e + 7. If j = 12, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"g": "i + 13", "w": "g + 5", "h": "w + 16", "c": "h + 8", "z": "c + 14", "y": "z + 11", "j": "i + 2", "o": "j + 2", "s": "o + 11", "d": "s + 6", "b": "d + 7", "m": "b + 14", "i": 3}, "premises": {"i": 3}, "target": "y"}, "answer": {"steps": [["z", "c + 14", "c + 25"], ["c", "h + 8", "h + 33"], ["h", "w + 16", "w + 49"], ["w", "g + 5", "g + 54"], ["g", "i + 13", "i + 67"], ["i", 3, "70"]], "target_var_name": "y", "target_value": 70, "value_dict": {"i": 3}, "is_reverse": true}}
| 2,748
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = c + 14; o = j + 2; m = b + 14; d = s + 6; b = d + 7; c = h + 8; i = 3; s = o + 11; w = g + 5; h = w + 16; j = i + 2; y = z + 11; g = i + 13. If i = 3, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = c + 14 to y, which gives y = c + 25.\n2. Substitute c = h + 8 to y, which gives y = h + 33.\n3. Substitute h = w + 16 to y, which gives y = w + 49.\n4. Substitute w = g + 5 to y, which gives y = g + 54.\n5. Substitute g = i + 13 to y, which gives y = i + 67.\n6. Substitute i = 3 to y, which gives y = 70.\n\nThus, the final answer is y = \\boxed{70}.",
"index": 2748,
"question": "Consider a system of variables where each variable is defined as follows: z = c + 14; o = j + 2; m = b + 14; d = s + 6; b = d + 7; c = h + 8; i = 3; s = o + 11; w = g + 5; h = w + 16; j = i + 2; y = z + 11; g = i + 13. If i = 3, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"m": "l + 15", "k": "m + 18", "f": "k + 7", "b": "f + 2", "q": "b + 6", "h": "q + 5", "c": "l + 16", "t": "c + 19", "w": "t + 6", "o": "w + 9", "i": "o + 1", "y": "i + 12", "l": 13}, "premises": {"l": 13}, "target": "h"}, "answer": {"steps": [["q", "b + 6", "b + 11"], ["b", "f + 2", "f + 13"], ["f", "k + 7", "k + 20"], ["k", "m + 18", "m + 38"], ["m", "l + 15", "l + 53"], ["l", 13, "66"]], "target_var_name": "h", "target_value": 66, "value_dict": {"l": 13}, "is_reverse": true}}
| 2,749
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = 13; k = m + 18; h = q + 5; c = l + 16; y = i + 12; t = c + 19; i = o + 1; q = b + 6; f = k + 7; w = t + 6; m = l + 15; b = f + 2; o = w + 9. If l = 13, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = b + 6 to h, which gives h = b + 11.\n2. Substitute b = f + 2 to h, which gives h = f + 13.\n3. Substitute f = k + 7 to h, which gives h = k + 20.\n4. Substitute k = m + 18 to h, which gives h = m + 38.\n5. Substitute m = l + 15 to h, which gives h = l + 53.\n6. Substitute l = 13 to h, which gives h = 66.\n\nThus, the final answer is h = \\boxed{66}.",
"index": 2749,
"question": "Consider a system of variables where each variable is defined as follows: l = 13; k = m + 18; h = q + 5; c = l + 16; y = i + 12; t = c + 19; i = o + 1; q = b + 6; f = k + 7; w = t + 6; m = l + 15; b = f + 2; o = w + 9. If l = 13, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"t": "k + 8", "m": "t + 11", "y": "m + 12", "x": "y + 7", "n": "x + 7", "b": "n + 3", "e": "k + 8", "f": "e + 18", "o": "f + 1", "z": "o + 11", "r": "z + 12", "i": "r + 6", "k": 9}, "premises": {"k": 9}, "target": "b"}, "answer": {"steps": [["n", "x + 7", "x + 10"], ["x", "y + 7", "y + 17"], ["y", "m + 12", "m + 29"], ["m", "t + 11", "t + 40"], ["t", "k + 8", "k + 48"], ["k", 9, "57"]], "target_var_name": "b", "target_value": 57, "value_dict": {"k": 9}, "is_reverse": true}}
| 2,750
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = k + 8; i = r + 6; k = 9; z = o + 11; f = e + 18; x = y + 7; y = m + 12; r = z + 12; o = f + 1; n = x + 7; t = k + 8; b = n + 3; m = t + 11. Given that k = 9, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = x + 7 to b, which gives b = x + 10.\n2. Substitute x = y + 7 to b, which gives b = y + 17.\n3. Substitute y = m + 12 to b, which gives b = m + 29.\n4. Substitute m = t + 11 to b, which gives b = t + 40.\n5. Substitute t = k + 8 to b, which gives b = k + 48.\n6. Substitute k = 9 to b, which gives b = 57.\n\nThus, the final answer is b = \\boxed{57}.",
"index": 2750,
"question": "Suppose a collection of variables is related by the following definitions: e = k + 8; i = r + 6; k = 9; z = o + 11; f = e + 18; x = y + 7; y = m + 12; r = z + 12; o = f + 1; n = x + 7; t = k + 8; b = n + 3; m = t + 11. Given that k = 9, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"r": "t + 12", "j": "r + 2", "y": "j + 15", "u": "y + 16", "b": "u + 16", "q": "b + 4", "h": "t + 17", "v": "h + 13", "x": "v + 6", "g": "x + 2", "f": "g + 12", "k": "f + 18", "t": 1}, "premises": {"t": 1}, "target": "q"}, "answer": {"steps": [["b", "u + 16", "u + 20"], ["u", "y + 16", "y + 36"], ["y", "j + 15", "j + 51"], ["j", "r + 2", "r + 53"], ["r", "t + 12", "t + 65"], ["t", 1, "66"]], "target_var_name": "q", "target_value": 66, "value_dict": {"t": 1}, "is_reverse": true}}
| 2,751
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = f + 18; q = b + 4; u = y + 16; t = 1; y = j + 15; h = t + 17; j = r + 2; v = h + 13; x = v + 6; r = t + 12; g = x + 2; f = g + 12; b = u + 16. Given that t = 1, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = u + 16 to q, which gives q = u + 20.\n2. Substitute u = y + 16 to q, which gives q = y + 36.\n3. Substitute y = j + 15 to q, which gives q = j + 51.\n4. Substitute j = r + 2 to q, which gives q = r + 53.\n5. Substitute r = t + 12 to q, which gives q = t + 65.\n6. Substitute t = 1 to q, which gives q = 66.\n\nThus, the final answer is q = \\boxed{66}.",
"index": 2751,
"question": "Suppose a collection of variables is related by the following definitions: k = f + 18; q = b + 4; u = y + 16; t = 1; y = j + 15; h = t + 17; j = r + 2; v = h + 13; x = v + 6; r = t + 12; g = x + 2; f = g + 12; b = u + 16. Given that t = 1, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"y": "a + 13", "c": "y + 19", "o": "c + 4", "j": "o + 6", "g": "j + 7", "f": "g + 20", "q": "a + 11", "n": "q + 14", "b": "n + 13", "p": "b + 10", "r": "p + 1", "x": "r + 14", "a": 13}, "premises": {"a": 13}, "target": "f"}, "answer": {"steps": [["g", "j + 7", "j + 27"], ["j", "o + 6", "o + 33"], ["o", "c + 4", "c + 37"], ["c", "y + 19", "y + 56"], ["y", "a + 13", "a + 69"], ["a", 13, "82"]], "target_var_name": "f", "target_value": 82, "value_dict": {"a": 13}, "is_reverse": true}}
| 2,752
| 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 = a + 11; x = r + 14; o = c + 4; a = 13; r = p + 1; g = j + 7; p = b + 10; b = n + 13; y = a + 13; n = q + 14; f = g + 20; c = y + 19; j = o + 6. If a = 13, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = j + 7 to f, which gives f = j + 27.\n2. Substitute j = o + 6 to f, which gives f = o + 33.\n3. Substitute o = c + 4 to f, which gives f = c + 37.\n4. Substitute c = y + 19 to f, which gives f = y + 56.\n5. Substitute y = a + 13 to f, which gives f = a + 69.\n6. Substitute a = 13 to f, which gives f = 82.\n\nThus, the final answer is f = \\boxed{82}.",
"index": 2752,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = a + 11; x = r + 14; o = c + 4; a = 13; r = p + 1; g = j + 7; p = b + 10; b = n + 13; y = a + 13; n = q + 14; f = g + 20; c = y + 19; j = o + 6. If a = 13, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"b": "y + 13", "u": "b + 2", "p": "u + 14", "m": "p + 10", "j": "m + 16", "w": "j + 5", "v": "y + 5", "g": "v + 11", "r": "g + 14", "s": "r + 14", "n": "s + 6", "t": "n + 8", "y": 6}, "premises": {"y": 6}, "target": "w"}, "answer": {"steps": [["j", "m + 16", "m + 21"], ["m", "p + 10", "p + 31"], ["p", "u + 14", "u + 45"], ["u", "b + 2", "b + 47"], ["b", "y + 13", "y + 60"], ["y", 6, "66"]], "target_var_name": "w", "target_value": 66, "value_dict": {"y": 6}, "is_reverse": true}}
| 2,753
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = v + 11; t = n + 8; r = g + 14; s = r + 14; y = 6; p = u + 14; j = m + 16; m = p + 10; v = y + 5; u = b + 2; b = y + 13; w = j + 5; n = s + 6. Given that y = 6, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = m + 16 to w, which gives w = m + 21.\n2. Substitute m = p + 10 to w, which gives w = p + 31.\n3. Substitute p = u + 14 to w, which gives w = u + 45.\n4. Substitute u = b + 2 to w, which gives w = b + 47.\n5. Substitute b = y + 13 to w, which gives w = y + 60.\n6. Substitute y = 6 to w, which gives w = 66.\n\nThus, the final answer is w = \\boxed{66}.",
"index": 2753,
"question": "Suppose a collection of variables is related by the following definitions: g = v + 11; t = n + 8; r = g + 14; s = r + 14; y = 6; p = u + 14; j = m + 16; m = p + 10; v = y + 5; u = b + 2; b = y + 13; w = j + 5; n = s + 6. Given that y = 6, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"d": "a + 12", "s": "d + 13", "f": "s + 9", "e": "f + 11", "l": "e + 4", "i": "l + 7", "g": "a + 7", "v": "g + 8", "o": "v + 2", "m": "o + 2", "y": "m + 2", "u": "y + 10", "a": 16}, "premises": {"a": 16}, "target": "i"}, "answer": {"steps": [["l", "e + 4", "e + 11"], ["e", "f + 11", "f + 22"], ["f", "s + 9", "s + 31"], ["s", "d + 13", "d + 44"], ["d", "a + 12", "a + 56"], ["a", 16, "72"]], "target_var_name": "i", "target_value": 72, "value_dict": {"a": 16}, "is_reverse": true}}
| 2,754
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = g + 8; d = a + 12; s = d + 13; a = 16; u = y + 10; l = e + 4; o = v + 2; f = s + 9; y = m + 2; m = o + 2; i = l + 7; g = a + 7; e = f + 11. Given that a = 16, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = e + 4 to i, which gives i = e + 11.\n2. Substitute e = f + 11 to i, which gives i = f + 22.\n3. Substitute f = s + 9 to i, which gives i = s + 31.\n4. Substitute s = d + 13 to i, which gives i = d + 44.\n5. Substitute d = a + 12 to i, which gives i = a + 56.\n6. Substitute a = 16 to i, which gives i = 72.\n\nThus, the final answer is i = \\boxed{72}.",
"index": 2754,
"question": "Suppose a collection of variables is related by the following definitions: v = g + 8; d = a + 12; s = d + 13; a = 16; u = y + 10; l = e + 4; o = v + 2; f = s + 9; y = m + 2; m = o + 2; i = l + 7; g = a + 7; e = f + 11. Given that a = 16, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"p": "m + 19", "k": "p + 20", "t": "k + 6", "v": "t + 4", "y": "v + 4", "a": "y + 6", "u": "m + 1", "h": "u + 20", "r": "h + 9", "c": "r + 2", "b": "c + 13", "f": "b + 4", "m": 3}, "premises": {"m": 3}, "target": "a"}, "answer": {"steps": [["y", "v + 4", "v + 10"], ["v", "t + 4", "t + 14"], ["t", "k + 6", "k + 20"], ["k", "p + 20", "p + 40"], ["p", "m + 19", "m + 59"], ["m", 3, "62"]], "target_var_name": "a", "target_value": 62, "value_dict": {"m": 3}, "is_reverse": true}}
| 2,755
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = p + 20; c = r + 2; p = m + 19; r = h + 9; m = 3; b = c + 13; a = y + 6; v = t + 4; h = u + 20; y = v + 4; u = m + 1; t = k + 6; f = b + 4. Given that m = 3, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = v + 4 to a, which gives a = v + 10.\n2. Substitute v = t + 4 to a, which gives a = t + 14.\n3. Substitute t = k + 6 to a, which gives a = k + 20.\n4. Substitute k = p + 20 to a, which gives a = p + 40.\n5. Substitute p = m + 19 to a, which gives a = m + 59.\n6. Substitute m = 3 to a, which gives a = 62.\n\nThus, the final answer is a = \\boxed{62}.",
"index": 2755,
"question": "Suppose a collection of variables is related by the following definitions: k = p + 20; c = r + 2; p = m + 19; r = h + 9; m = 3; b = c + 13; a = y + 6; v = t + 4; h = u + 20; y = v + 4; u = m + 1; t = k + 6; f = b + 4. Given that m = 3, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"z": "b + 2", "v": "z + 5", "p": "v + 4", "h": "p + 10", "y": "h + 14", "q": "y + 5", "k": "b + 4", "m": "k + 9", "c": "m + 5", "t": "c + 12", "u": "t + 8", "g": "u + 16", "b": 5}, "premises": {"b": 5}, "target": "q"}, "answer": {"steps": [["y", "h + 14", "h + 19"], ["h", "p + 10", "p + 29"], ["p", "v + 4", "v + 33"], ["v", "z + 5", "z + 38"], ["z", "b + 2", "b + 40"], ["b", 5, "45"]], "target_var_name": "q", "target_value": 45, "value_dict": {"b": 5}, "is_reverse": true}}
| 2,756
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = u + 16; m = k + 9; c = m + 5; t = c + 12; z = b + 2; u = t + 8; y = h + 14; h = p + 10; v = z + 5; q = y + 5; b = 5; p = v + 4; k = b + 4. Given that b = 5, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 45,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = h + 14 to q, which gives q = h + 19.\n2. Substitute h = p + 10 to q, which gives q = p + 29.\n3. Substitute p = v + 4 to q, which gives q = v + 33.\n4. Substitute v = z + 5 to q, which gives q = z + 38.\n5. Substitute z = b + 2 to q, which gives q = b + 40.\n6. Substitute b = 5 to q, which gives q = 45.\n\nThus, the final answer is q = \\boxed{45}.",
"index": 2756,
"question": "Suppose a collection of variables is related by the following definitions: g = u + 16; m = k + 9; c = m + 5; t = c + 12; z = b + 2; u = t + 8; y = h + 14; h = p + 10; v = z + 5; q = y + 5; b = 5; p = v + 4; k = b + 4. Given that b = 5, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"e": "a + 9", "v": "e + 9", "w": "v + 10", "g": "w + 9", "s": "g + 20", "k": "s + 5", "u": "a + 11", "m": "u + 16", "f": "m + 10", "l": "f + 8", "y": "l + 13", "p": "y + 8", "a": 16}, "premises": {"a": 16}, "target": "k"}, "answer": {"steps": [["s", "g + 20", "g + 25"], ["g", "w + 9", "w + 34"], ["w", "v + 10", "v + 44"], ["v", "e + 9", "e + 53"], ["e", "a + 9", "a + 62"], ["a", 16, "78"]], "target_var_name": "k", "target_value": 78, "value_dict": {"a": 16}, "is_reverse": true}}
| 2,757
| 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 = w + 9; w = v + 10; v = e + 9; l = f + 8; m = u + 16; y = l + 13; u = a + 11; p = y + 8; e = a + 9; s = g + 20; k = s + 5; f = m + 10; a = 16. If a = 16, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = g + 20 to k, which gives k = g + 25.\n2. Substitute g = w + 9 to k, which gives k = w + 34.\n3. Substitute w = v + 10 to k, which gives k = v + 44.\n4. Substitute v = e + 9 to k, which gives k = e + 53.\n5. Substitute e = a + 9 to k, which gives k = a + 62.\n6. Substitute a = 16 to k, which gives k = 78.\n\nThus, the final answer is k = \\boxed{78}.",
"index": 2757,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = w + 9; w = v + 10; v = e + 9; l = f + 8; m = u + 16; y = l + 13; u = a + 11; p = y + 8; e = a + 9; s = g + 20; k = s + 5; f = m + 10; a = 16. If a = 16, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"a": "x + 11", "f": "a + 13", "y": "f + 2", "l": "y + 8", "m": "l + 20", "t": "m + 14", "k": "x + 7", "h": "k + 16", "j": "h + 2", "b": "j + 10", "i": "b + 20", "p": "i + 5", "x": 3}, "premises": {"x": 3}, "target": "t"}, "answer": {"steps": [["m", "l + 20", "l + 34"], ["l", "y + 8", "y + 42"], ["y", "f + 2", "f + 44"], ["f", "a + 13", "a + 57"], ["a", "x + 11", "x + 68"], ["x", 3, "71"]], "target_var_name": "t", "target_value": 71, "value_dict": {"x": 3}, "is_reverse": true}}
| 2,758
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = f + 2; f = a + 13; h = k + 16; t = m + 14; k = x + 7; l = y + 8; b = j + 10; a = x + 11; j = h + 2; x = 3; m = l + 20; i = b + 20; p = i + 5. Given that x = 3, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = l + 20 to t, which gives t = l + 34.\n2. Substitute l = y + 8 to t, which gives t = y + 42.\n3. Substitute y = f + 2 to t, which gives t = f + 44.\n4. Substitute f = a + 13 to t, which gives t = a + 57.\n5. Substitute a = x + 11 to t, which gives t = x + 68.\n6. Substitute x = 3 to t, which gives t = 71.\n\nThus, the final answer is t = \\boxed{71}.",
"index": 2758,
"question": "Suppose a collection of variables is related by the following definitions: y = f + 2; f = a + 13; h = k + 16; t = m + 14; k = x + 7; l = y + 8; b = j + 10; a = x + 11; j = h + 2; x = 3; m = l + 20; i = b + 20; p = i + 5. Given that x = 3, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"t": "r + 4", "m": "t + 7", "f": "m + 9", "j": "f + 18", "i": "j + 12", "l": "i + 5", "x": "r + 14", "d": "x + 11", "c": "d + 1", "z": "c + 7", "b": "z + 7", "v": "b + 11", "r": 11}, "premises": {"r": 11}, "target": "l"}, "answer": {"steps": [["i", "j + 12", "j + 17"], ["j", "f + 18", "f + 35"], ["f", "m + 9", "m + 44"], ["m", "t + 7", "t + 51"], ["t", "r + 4", "r + 55"], ["r", 11, "66"]], "target_var_name": "l", "target_value": 66, "value_dict": {"r": 11}, "is_reverse": true}}
| 2,759
| 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 = z + 7; x = r + 14; i = j + 12; j = f + 18; c = d + 1; r = 11; m = t + 7; z = c + 7; v = b + 11; f = m + 9; d = x + 11; t = r + 4; l = i + 5. If r = 11, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = j + 12 to l, which gives l = j + 17.\n2. Substitute j = f + 18 to l, which gives l = f + 35.\n3. Substitute f = m + 9 to l, which gives l = m + 44.\n4. Substitute m = t + 7 to l, which gives l = t + 51.\n5. Substitute t = r + 4 to l, which gives l = r + 55.\n6. Substitute r = 11 to l, which gives l = 66.\n\nThus, the final answer is l = \\boxed{66}.",
"index": 2759,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = z + 7; x = r + 14; i = j + 12; j = f + 18; c = d + 1; r = 11; m = t + 7; z = c + 7; v = b + 11; f = m + 9; d = x + 11; t = r + 4; l = i + 5. If r = 11, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"c": "e + 11", "b": "c + 6", "i": "b + 18", "g": "i + 11", "v": "g + 4", "u": "v + 2", "d": "e + 16", "r": "d + 20", "k": "r + 16", "z": "k + 12", "x": "z + 13", "n": "x + 2", "e": 19}, "premises": {"e": 19}, "target": "u"}, "answer": {"steps": [["v", "g + 4", "g + 6"], ["g", "i + 11", "i + 17"], ["i", "b + 18", "b + 35"], ["b", "c + 6", "c + 41"], ["c", "e + 11", "e + 52"], ["e", 19, "71"]], "target_var_name": "u", "target_value": 71, "value_dict": {"e": 19}, "is_reverse": true}}
| 2,760
| 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 = e + 11; z = k + 12; d = e + 16; x = z + 13; k = r + 16; g = i + 11; n = x + 2; u = v + 2; i = b + 18; r = d + 20; e = 19; b = c + 6; v = g + 4. If e = 19, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = g + 4 to u, which gives u = g + 6.\n2. Substitute g = i + 11 to u, which gives u = i + 17.\n3. Substitute i = b + 18 to u, which gives u = b + 35.\n4. Substitute b = c + 6 to u, which gives u = c + 41.\n5. Substitute c = e + 11 to u, which gives u = e + 52.\n6. Substitute e = 19 to u, which gives u = 71.\n\nThus, the final answer is u = \\boxed{71}.",
"index": 2760,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = e + 11; z = k + 12; d = e + 16; x = z + 13; k = r + 16; g = i + 11; n = x + 2; u = v + 2; i = b + 18; r = d + 20; e = 19; b = c + 6; v = g + 4. If e = 19, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"k": "a + 11", "t": "k + 15", "p": "t + 5", "o": "p + 7", "w": "o + 13", "y": "w + 18", "v": "a + 8", "u": "v + 6", "b": "u + 8", "q": "b + 7", "j": "q + 7", "n": "j + 17", "a": 20}, "premises": {"a": 20}, "target": "y"}, "answer": {"steps": [["w", "o + 13", "o + 31"], ["o", "p + 7", "p + 38"], ["p", "t + 5", "t + 43"], ["t", "k + 15", "k + 58"], ["k", "a + 11", "a + 69"], ["a", 20, "89"]], "target_var_name": "y", "target_value": 89, "value_dict": {"a": 20}, "is_reverse": true}}
| 2,761
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = o + 13; n = j + 17; p = t + 5; b = u + 8; q = b + 7; v = a + 8; u = v + 6; k = a + 11; a = 20; j = q + 7; t = k + 15; o = p + 7; y = w + 18. If a = 20, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = o + 13 to y, which gives y = o + 31.\n2. Substitute o = p + 7 to y, which gives y = p + 38.\n3. Substitute p = t + 5 to y, which gives y = t + 43.\n4. Substitute t = k + 15 to y, which gives y = k + 58.\n5. Substitute k = a + 11 to y, which gives y = a + 69.\n6. Substitute a = 20 to y, which gives y = 89.\n\nThus, the final answer is y = \\boxed{89}.",
"index": 2761,
"question": "Consider a system of variables where each variable is defined as follows: w = o + 13; n = j + 17; p = t + 5; b = u + 8; q = b + 7; v = a + 8; u = v + 6; k = a + 11; a = 20; j = q + 7; t = k + 15; o = p + 7; y = w + 18. If a = 20, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"q": "h + 2", "n": "q + 10", "i": "n + 15", "a": "i + 9", "l": "a + 15", "t": "l + 19", "p": "h + 13", "u": "p + 10", "k": "u + 5", "b": "k + 7", "x": "b + 18", "o": "x + 8", "h": 10}, "premises": {"h": 10}, "target": "t"}, "answer": {"steps": [["l", "a + 15", "a + 34"], ["a", "i + 9", "i + 43"], ["i", "n + 15", "n + 58"], ["n", "q + 10", "q + 68"], ["q", "h + 2", "h + 70"], ["h", 10, "80"]], "target_var_name": "t", "target_value": 80, "value_dict": {"h": 10}, "is_reverse": true}}
| 2,762
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = i + 9; t = l + 19; b = k + 7; p = h + 13; u = p + 10; x = b + 18; i = n + 15; n = q + 10; l = a + 15; k = u + 5; q = h + 2; h = 10; o = x + 8. If h = 10, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = a + 15 to t, which gives t = a + 34.\n2. Substitute a = i + 9 to t, which gives t = i + 43.\n3. Substitute i = n + 15 to t, which gives t = n + 58.\n4. Substitute n = q + 10 to t, which gives t = q + 68.\n5. Substitute q = h + 2 to t, which gives t = h + 70.\n6. Substitute h = 10 to t, which gives t = 80.\n\nThus, the final answer is t = \\boxed{80}.",
"index": 2762,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = i + 9; t = l + 19; b = k + 7; p = h + 13; u = p + 10; x = b + 18; i = n + 15; n = q + 10; l = a + 15; k = u + 5; q = h + 2; h = 10; o = x + 8. If h = 10, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"s": "c + 13", "d": "s + 9", "a": "d + 12", "m": "a + 7", "f": "m + 17", "t": "f + 5", "y": "c + 15", "h": "y + 1", "r": "h + 10", "u": "r + 15", "j": "u + 8", "v": "j + 4", "c": 16}, "premises": {"c": 16}, "target": "t"}, "answer": {"steps": [["f", "m + 17", "m + 22"], ["m", "a + 7", "a + 29"], ["a", "d + 12", "d + 41"], ["d", "s + 9", "s + 50"], ["s", "c + 13", "c + 63"], ["c", 16, "79"]], "target_var_name": "t", "target_value": 79, "value_dict": {"c": 16}, "is_reverse": true}}
| 2,763
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = s + 9; t = f + 5; h = y + 1; m = a + 7; u = r + 15; r = h + 10; s = c + 13; v = j + 4; c = 16; y = c + 15; f = m + 17; j = u + 8; a = d + 12. Given that c = 16, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = m + 17 to t, which gives t = m + 22.\n2. Substitute m = a + 7 to t, which gives t = a + 29.\n3. Substitute a = d + 12 to t, which gives t = d + 41.\n4. Substitute d = s + 9 to t, which gives t = s + 50.\n5. Substitute s = c + 13 to t, which gives t = c + 63.\n6. Substitute c = 16 to t, which gives t = 79.\n\nThus, the final answer is t = \\boxed{79}.",
"index": 2763,
"question": "Suppose a collection of variables is related by the following definitions: d = s + 9; t = f + 5; h = y + 1; m = a + 7; u = r + 15; r = h + 10; s = c + 13; v = j + 4; c = 16; y = c + 15; f = m + 17; j = u + 8; a = d + 12. Given that c = 16, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"s": "m + 12", "j": "s + 2", "e": "j + 14", "g": "e + 9", "l": "g + 7", "x": "l + 1", "n": "m + 15", "u": "n + 5", "o": "u + 15", "k": "o + 12", "h": "k + 1", "c": "h + 3", "m": 4}, "premises": {"m": 4}, "target": "x"}, "answer": {"steps": [["l", "g + 7", "g + 8"], ["g", "e + 9", "e + 17"], ["e", "j + 14", "j + 31"], ["j", "s + 2", "s + 33"], ["s", "m + 12", "m + 45"], ["m", 4, "49"]], "target_var_name": "x", "target_value": 49, "value_dict": {"m": 4}, "is_reverse": true}}
| 2,764
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = l + 1; j = s + 2; o = u + 15; s = m + 12; c = h + 3; m = 4; k = o + 12; e = j + 14; n = m + 15; l = g + 7; h = k + 1; u = n + 5; g = e + 9. If m = 4, 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 l = g + 7 to x, which gives x = g + 8.\n2. Substitute g = e + 9 to x, which gives x = e + 17.\n3. Substitute e = j + 14 to x, which gives x = j + 31.\n4. Substitute j = s + 2 to x, which gives x = s + 33.\n5. Substitute s = m + 12 to x, which gives x = m + 45.\n6. Substitute m = 4 to x, which gives x = 49.\n\nThus, the final answer is x = \\boxed{49}.",
"index": 2764,
"question": "Consider a system of variables where each variable is defined as follows: x = l + 1; j = s + 2; o = u + 15; s = m + 12; c = h + 3; m = 4; k = o + 12; e = j + 14; n = m + 15; l = g + 7; h = k + 1; u = n + 5; g = e + 9. If m = 4, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"v": "r + 14", "a": "v + 15", "t": "a + 7", "f": "t + 3", "i": "f + 7", "l": "i + 13", "n": "r + 3", "j": "n + 13", "q": "j + 13", "z": "q + 20", "c": "z + 4", "x": "c + 3", "r": 11}, "premises": {"r": 11}, "target": "l"}, "answer": {"steps": [["i", "f + 7", "f + 20"], ["f", "t + 3", "t + 23"], ["t", "a + 7", "a + 30"], ["a", "v + 15", "v + 45"], ["v", "r + 14", "r + 59"], ["r", 11, "70"]], "target_var_name": "l", "target_value": 70, "value_dict": {"r": 11}, "is_reverse": true}}
| 2,765
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = c + 3; n = r + 3; r = 11; z = q + 20; j = n + 13; c = z + 4; i = f + 7; l = i + 13; q = j + 13; a = v + 15; v = r + 14; f = t + 3; t = a + 7. Given that r = 11, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = f + 7 to l, which gives l = f + 20.\n2. Substitute f = t + 3 to l, which gives l = t + 23.\n3. Substitute t = a + 7 to l, which gives l = a + 30.\n4. Substitute a = v + 15 to l, which gives l = v + 45.\n5. Substitute v = r + 14 to l, which gives l = r + 59.\n6. Substitute r = 11 to l, which gives l = 70.\n\nThus, the final answer is l = \\boxed{70}.",
"index": 2765,
"question": "Suppose a collection of variables is related by the following definitions: x = c + 3; n = r + 3; r = 11; z = q + 20; j = n + 13; c = z + 4; i = f + 7; l = i + 13; q = j + 13; a = v + 15; v = r + 14; f = t + 3; t = a + 7. Given that r = 11, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"p": "f + 17", "s": "p + 2", "g": "s + 2", "i": "g + 16", "u": "i + 9", "h": "u + 14", "o": "f + 16", "x": "o + 2", "t": "x + 11", "y": "t + 15", "l": "y + 7", "d": "l + 2", "f": 18}, "premises": {"f": 18}, "target": "h"}, "answer": {"steps": [["u", "i + 9", "i + 23"], ["i", "g + 16", "g + 39"], ["g", "s + 2", "s + 41"], ["s", "p + 2", "p + 43"], ["p", "f + 17", "f + 60"], ["f", 18, "78"]], "target_var_name": "h", "target_value": 78, "value_dict": {"f": 18}, "is_reverse": true}}
| 2,766
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = s + 2; l = y + 7; d = l + 2; f = 18; h = u + 14; u = i + 9; t = x + 11; x = o + 2; p = f + 17; s = p + 2; o = f + 16; i = g + 16; y = t + 15. Given that f = 18, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = i + 9 to h, which gives h = i + 23.\n2. Substitute i = g + 16 to h, which gives h = g + 39.\n3. Substitute g = s + 2 to h, which gives h = s + 41.\n4. Substitute s = p + 2 to h, which gives h = p + 43.\n5. Substitute p = f + 17 to h, which gives h = f + 60.\n6. Substitute f = 18 to h, which gives h = 78.\n\nThus, the final answer is h = \\boxed{78}.",
"index": 2766,
"question": "Suppose a collection of variables is related by the following definitions: g = s + 2; l = y + 7; d = l + 2; f = 18; h = u + 14; u = i + 9; t = x + 11; x = o + 2; p = f + 17; s = p + 2; o = f + 16; i = g + 16; y = t + 15. Given that f = 18, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"l": "y + 9", "v": "l + 12", "d": "v + 8", "a": "d + 10", "n": "a + 4", "e": "n + 7", "j": "y + 16", "x": "j + 1", "g": "x + 11", "h": "g + 1", "s": "h + 13", "t": "s + 20", "y": 5}, "premises": {"y": 5}, "target": "e"}, "answer": {"steps": [["n", "a + 4", "a + 11"], ["a", "d + 10", "d + 21"], ["d", "v + 8", "v + 29"], ["v", "l + 12", "l + 41"], ["l", "y + 9", "y + 50"], ["y", 5, "55"]], "target_var_name": "e", "target_value": 55, "value_dict": {"y": 5}, "is_reverse": true}}
| 2,767
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = d + 10; x = j + 1; l = y + 9; e = n + 7; h = g + 1; y = 5; v = l + 12; s = h + 13; t = s + 20; g = x + 11; j = y + 16; d = v + 8; n = a + 4. If y = 5, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = a + 4 to e, which gives e = a + 11.\n2. Substitute a = d + 10 to e, which gives e = d + 21.\n3. Substitute d = v + 8 to e, which gives e = v + 29.\n4. Substitute v = l + 12 to e, which gives e = l + 41.\n5. Substitute l = y + 9 to e, which gives e = y + 50.\n6. Substitute y = 5 to e, which gives e = 55.\n\nThus, the final answer is e = \\boxed{55}.",
"index": 2767,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = d + 10; x = j + 1; l = y + 9; e = n + 7; h = g + 1; y = 5; v = l + 12; s = h + 13; t = s + 20; g = x + 11; j = y + 16; d = v + 8; n = a + 4. If y = 5, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"c": "n + 19", "e": "c + 8", "w": "e + 13", "s": "w + 9", "u": "s + 20", "l": "u + 3", "r": "n + 13", "x": "r + 11", "y": "x + 8", "o": "y + 2", "h": "o + 14", "t": "h + 3", "n": 4}, "premises": {"n": 4}, "target": "l"}, "answer": {"steps": [["u", "s + 20", "s + 23"], ["s", "w + 9", "w + 32"], ["w", "e + 13", "e + 45"], ["e", "c + 8", "c + 53"], ["c", "n + 19", "n + 72"], ["n", 4, "76"]], "target_var_name": "l", "target_value": 76, "value_dict": {"n": 4}, "is_reverse": true}}
| 2,768
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = n + 13; t = h + 3; e = c + 8; u = s + 20; w = e + 13; y = x + 8; l = u + 3; x = r + 11; h = o + 14; s = w + 9; n = 4; o = y + 2; c = n + 19. Given that n = 4, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = s + 20 to l, which gives l = s + 23.\n2. Substitute s = w + 9 to l, which gives l = w + 32.\n3. Substitute w = e + 13 to l, which gives l = e + 45.\n4. Substitute e = c + 8 to l, which gives l = c + 53.\n5. Substitute c = n + 19 to l, which gives l = n + 72.\n6. Substitute n = 4 to l, which gives l = 76.\n\nThus, the final answer is l = \\boxed{76}.",
"index": 2768,
"question": "Suppose a collection of variables is related by the following definitions: r = n + 13; t = h + 3; e = c + 8; u = s + 20; w = e + 13; y = x + 8; l = u + 3; x = r + 11; h = o + 14; s = w + 9; n = 4; o = y + 2; c = n + 19. Given that n = 4, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"d": "j + 19", "e": "d + 5", "s": "e + 17", "w": "s + 10", "x": "w + 14", "n": "x + 19", "y": "j + 11", "b": "y + 6", "q": "b + 18", "h": "q + 20", "c": "h + 9", "v": "c + 13", "j": 14}, "premises": {"j": 14}, "target": "n"}, "answer": {"steps": [["x", "w + 14", "w + 33"], ["w", "s + 10", "s + 43"], ["s", "e + 17", "e + 60"], ["e", "d + 5", "d + 65"], ["d", "j + 19", "j + 84"], ["j", 14, "98"]], "target_var_name": "n", "target_value": 98, "value_dict": {"j": 14}, "is_reverse": true}}
| 2,769
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = c + 13; b = y + 6; s = e + 17; c = h + 9; q = b + 18; d = j + 19; h = q + 20; y = j + 11; j = 14; w = s + 10; n = x + 19; e = d + 5; x = w + 14. If j = 14, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 98,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = w + 14 to n, which gives n = w + 33.\n2. Substitute w = s + 10 to n, which gives n = s + 43.\n3. Substitute s = e + 17 to n, which gives n = e + 60.\n4. Substitute e = d + 5 to n, which gives n = d + 65.\n5. Substitute d = j + 19 to n, which gives n = j + 84.\n6. Substitute j = 14 to n, which gives n = 98.\n\nThus, the final answer is n = \\boxed{98}.",
"index": 2769,
"question": "Consider a system of variables where each variable is defined as follows: v = c + 13; b = y + 6; s = e + 17; c = h + 9; q = b + 18; d = j + 19; h = q + 20; y = j + 11; j = 14; w = s + 10; n = x + 19; e = d + 5; x = w + 14. If j = 14, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"s": "g + 20", "d": "s + 16", "q": "d + 6", "t": "q + 11", "k": "t + 12", "b": "k + 18", "r": "g + 9", "l": "r + 13", "f": "l + 5", "o": "f + 11", "h": "o + 18", "p": "h + 8", "g": 9}, "premises": {"g": 9}, "target": "b"}, "answer": {"steps": [["k", "t + 12", "t + 30"], ["t", "q + 11", "q + 41"], ["q", "d + 6", "d + 47"], ["d", "s + 16", "s + 63"], ["s", "g + 20", "g + 83"], ["g", 9, "92"]], "target_var_name": "b", "target_value": 92, "value_dict": {"g": 9}, "is_reverse": true}}
| 2,770
| 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 = 9; s = g + 20; b = k + 18; f = l + 5; t = q + 11; p = h + 8; h = o + 18; k = t + 12; d = s + 16; l = r + 13; o = f + 11; q = d + 6; r = g + 9. If g = 9, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = t + 12 to b, which gives b = t + 30.\n2. Substitute t = q + 11 to b, which gives b = q + 41.\n3. Substitute q = d + 6 to b, which gives b = d + 47.\n4. Substitute d = s + 16 to b, which gives b = s + 63.\n5. Substitute s = g + 20 to b, which gives b = g + 83.\n6. Substitute g = 9 to b, which gives b = 92.\n\nThus, the final answer is b = \\boxed{92}.",
"index": 2770,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = 9; s = g + 20; b = k + 18; f = l + 5; t = q + 11; p = h + 8; h = o + 18; k = t + 12; d = s + 16; l = r + 13; o = f + 11; q = d + 6; r = g + 9. If g = 9, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"a": "e + 12", "j": "a + 14", "v": "j + 8", "q": "v + 4", "h": "q + 2", "m": "h + 15", "g": "e + 14", "i": "g + 14", "f": "i + 9", "t": "f + 18", "n": "t + 2", "z": "n + 19", "e": 17}, "premises": {"e": 17}, "target": "m"}, "answer": {"steps": [["h", "q + 2", "q + 17"], ["q", "v + 4", "v + 21"], ["v", "j + 8", "j + 29"], ["j", "a + 14", "a + 43"], ["a", "e + 12", "e + 55"], ["e", 17, "72"]], "target_var_name": "m", "target_value": 72, "value_dict": {"e": 17}, "is_reverse": true}}
| 2,771
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = i + 9; j = a + 14; i = g + 14; t = f + 18; m = h + 15; h = q + 2; g = e + 14; z = n + 19; n = t + 2; q = v + 4; v = j + 8; e = 17; a = e + 12. Given that e = 17, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = q + 2 to m, which gives m = q + 17.\n2. Substitute q = v + 4 to m, which gives m = v + 21.\n3. Substitute v = j + 8 to m, which gives m = j + 29.\n4. Substitute j = a + 14 to m, which gives m = a + 43.\n5. Substitute a = e + 12 to m, which gives m = e + 55.\n6. Substitute e = 17 to m, which gives m = 72.\n\nThus, the final answer is m = \\boxed{72}.",
"index": 2771,
"question": "Suppose a collection of variables is related by the following definitions: f = i + 9; j = a + 14; i = g + 14; t = f + 18; m = h + 15; h = q + 2; g = e + 14; z = n + 19; n = t + 2; q = v + 4; v = j + 8; e = 17; a = e + 12. Given that e = 17, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"j": "l + 5", "t": "j + 10", "f": "t + 17", "z": "f + 17", "u": "z + 16", "c": "u + 9", "k": "l + 19", "s": "k + 2", "e": "s + 5", "a": "e + 2", "w": "a + 14", "i": "w + 8", "l": 16}, "premises": {"l": 16}, "target": "c"}, "answer": {"steps": [["u", "z + 16", "z + 25"], ["z", "f + 17", "f + 42"], ["f", "t + 17", "t + 59"], ["t", "j + 10", "j + 69"], ["j", "l + 5", "l + 74"], ["l", 16, "90"]], "target_var_name": "c", "target_value": 90, "value_dict": {"l": 16}, "is_reverse": true}}
| 2,772
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = s + 5; u = z + 16; c = u + 9; i = w + 8; z = f + 17; s = k + 2; w = a + 14; l = 16; a = e + 2; t = j + 10; k = l + 19; f = t + 17; j = l + 5. Given that l = 16, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = z + 16 to c, which gives c = z + 25.\n2. Substitute z = f + 17 to c, which gives c = f + 42.\n3. Substitute f = t + 17 to c, which gives c = t + 59.\n4. Substitute t = j + 10 to c, which gives c = j + 69.\n5. Substitute j = l + 5 to c, which gives c = l + 74.\n6. Substitute l = 16 to c, which gives c = 90.\n\nThus, the final answer is c = \\boxed{90}.",
"index": 2772,
"question": "Suppose a collection of variables is related by the following definitions: e = s + 5; u = z + 16; c = u + 9; i = w + 8; z = f + 17; s = k + 2; w = a + 14; l = 16; a = e + 2; t = j + 10; k = l + 19; f = t + 17; j = l + 5. Given that l = 16, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"z": "v + 5", "k": "z + 11", "t": "k + 7", "s": "t + 2", "y": "s + 4", "a": "y + 17", "p": "v + 13", "q": "p + 2", "l": "q + 20", "j": "l + 6", "n": "j + 20", "o": "n + 7", "v": 6}, "premises": {"v": 6}, "target": "a"}, "answer": {"steps": [["y", "s + 4", "s + 21"], ["s", "t + 2", "t + 23"], ["t", "k + 7", "k + 30"], ["k", "z + 11", "z + 41"], ["z", "v + 5", "v + 46"], ["v", 6, "52"]], "target_var_name": "a", "target_value": 52, "value_dict": {"v": 6}, "is_reverse": true}}
| 2,773
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = k + 7; s = t + 2; y = s + 4; j = l + 6; q = p + 2; z = v + 5; p = v + 13; n = j + 20; a = y + 17; k = z + 11; v = 6; l = q + 20; o = n + 7. Given that v = 6, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 52,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = s + 4 to a, which gives a = s + 21.\n2. Substitute s = t + 2 to a, which gives a = t + 23.\n3. Substitute t = k + 7 to a, which gives a = k + 30.\n4. Substitute k = z + 11 to a, which gives a = z + 41.\n5. Substitute z = v + 5 to a, which gives a = v + 46.\n6. Substitute v = 6 to a, which gives a = 52.\n\nThus, the final answer is a = \\boxed{52}.",
"index": 2773,
"question": "Suppose a collection of variables is related by the following definitions: t = k + 7; s = t + 2; y = s + 4; j = l + 6; q = p + 2; z = v + 5; p = v + 13; n = j + 20; a = y + 17; k = z + 11; v = 6; l = q + 20; o = n + 7. Given that v = 6, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"m": "a + 13", "o": "m + 12", "d": "o + 20", "v": "d + 1", "z": "v + 19", "r": "z + 17", "f": "a + 12", "u": "f + 16", "y": "u + 13", "i": "y + 16", "x": "i + 6", "q": "x + 17", "a": 19}, "premises": {"a": 19}, "target": "r"}, "answer": {"steps": [["z", "v + 19", "v + 36"], ["v", "d + 1", "d + 37"], ["d", "o + 20", "o + 57"], ["o", "m + 12", "m + 69"], ["m", "a + 13", "a + 82"], ["a", 19, "101"]], "target_var_name": "r", "target_value": 101, "value_dict": {"a": 19}, "is_reverse": true}}
| 2,774
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = m + 12; d = o + 20; z = v + 19; r = z + 17; v = d + 1; q = x + 17; m = a + 13; f = a + 12; a = 19; i = y + 16; u = f + 16; x = i + 6; y = u + 13. Given that a = 19, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 101,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = v + 19 to r, which gives r = v + 36.\n2. Substitute v = d + 1 to r, which gives r = d + 37.\n3. Substitute d = o + 20 to r, which gives r = o + 57.\n4. Substitute o = m + 12 to r, which gives r = m + 69.\n5. Substitute m = a + 13 to r, which gives r = a + 82.\n6. Substitute a = 19 to r, which gives r = 101.\n\nThus, the final answer is r = \\boxed{101}.",
"index": 2774,
"question": "Suppose a collection of variables is related by the following definitions: o = m + 12; d = o + 20; z = v + 19; r = z + 17; v = d + 1; q = x + 17; m = a + 13; f = a + 12; a = 19; i = y + 16; u = f + 16; x = i + 6; y = u + 13. Given that a = 19, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"y": "o + 2", "c": "y + 13", "r": "c + 19", "f": "r + 11", "g": "f + 9", "k": "g + 20", "b": "o + 14", "m": "b + 18", "s": "m + 14", "j": "s + 10", "t": "j + 15", "q": "t + 6", "o": 14}, "premises": {"o": 14}, "target": "k"}, "answer": {"steps": [["g", "f + 9", "f + 29"], ["f", "r + 11", "r + 40"], ["r", "c + 19", "c + 59"], ["c", "y + 13", "y + 72"], ["y", "o + 2", "o + 74"], ["o", 14, "88"]], "target_var_name": "k", "target_value": 88, "value_dict": {"o": 14}, "is_reverse": true}}
| 2,775
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = y + 13; f = r + 11; t = j + 15; g = f + 9; o = 14; m = b + 18; s = m + 14; q = t + 6; k = g + 20; j = s + 10; y = o + 2; b = o + 14; r = c + 19. If o = 14, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = f + 9 to k, which gives k = f + 29.\n2. Substitute f = r + 11 to k, which gives k = r + 40.\n3. Substitute r = c + 19 to k, which gives k = c + 59.\n4. Substitute c = y + 13 to k, which gives k = y + 72.\n5. Substitute y = o + 2 to k, which gives k = o + 74.\n6. Substitute o = 14 to k, which gives k = 88.\n\nThus, the final answer is k = \\boxed{88}.",
"index": 2775,
"question": "Consider a system of variables where each variable is defined as follows: c = y + 13; f = r + 11; t = j + 15; g = f + 9; o = 14; m = b + 18; s = m + 14; q = t + 6; k = g + 20; j = s + 10; y = o + 2; b = o + 14; r = c + 19. If o = 14, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"x": "v + 3", "k": "x + 20", "j": "k + 2", "u": "j + 3", "t": "u + 13", "m": "t + 4", "a": "v + 11", "d": "a + 9", "g": "d + 12", "h": "g + 20", "l": "h + 18", "o": "l + 11", "v": 12}, "premises": {"v": 12}, "target": "m"}, "answer": {"steps": [["t", "u + 13", "u + 17"], ["u", "j + 3", "j + 20"], ["j", "k + 2", "k + 22"], ["k", "x + 20", "x + 42"], ["x", "v + 3", "v + 45"], ["v", 12, "57"]], "target_var_name": "m", "target_value": 57, "value_dict": {"v": 12}, "is_reverse": true}}
| 2,776
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = v + 3; m = t + 4; j = k + 2; t = u + 13; h = g + 20; a = v + 11; l = h + 18; g = d + 12; v = 12; d = a + 9; o = l + 11; u = j + 3; k = x + 20. If v = 12, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = u + 13 to m, which gives m = u + 17.\n2. Substitute u = j + 3 to m, which gives m = j + 20.\n3. Substitute j = k + 2 to m, which gives m = k + 22.\n4. Substitute k = x + 20 to m, which gives m = x + 42.\n5. Substitute x = v + 3 to m, which gives m = v + 45.\n6. Substitute v = 12 to m, which gives m = 57.\n\nThus, the final answer is m = \\boxed{57}.",
"index": 2776,
"question": "Consider a system of variables where each variable is defined as follows: x = v + 3; m = t + 4; j = k + 2; t = u + 13; h = g + 20; a = v + 11; l = h + 18; g = d + 12; v = 12; d = a + 9; o = l + 11; u = j + 3; k = x + 20. If v = 12, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"n": "l + 16", "o": "n + 20", "v": "o + 3", "i": "v + 1", "j": "i + 17", "y": "j + 11", "h": "l + 9", "s": "h + 16", "c": "s + 1", "b": "c + 14", "k": "b + 5", "z": "k + 20", "l": 2}, "premises": {"l": 2}, "target": "y"}, "answer": {"steps": [["j", "i + 17", "i + 28"], ["i", "v + 1", "v + 29"], ["v", "o + 3", "o + 32"], ["o", "n + 20", "n + 52"], ["n", "l + 16", "l + 68"], ["l", 2, "70"]], "target_var_name": "y", "target_value": 70, "value_dict": {"l": 2}, "is_reverse": true}}
| 2,777
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = s + 1; b = c + 14; v = o + 3; j = i + 17; h = l + 9; n = l + 16; s = h + 16; l = 2; o = n + 20; z = k + 20; y = j + 11; i = v + 1; k = b + 5. If l = 2, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = i + 17 to y, which gives y = i + 28.\n2. Substitute i = v + 1 to y, which gives y = v + 29.\n3. Substitute v = o + 3 to y, which gives y = o + 32.\n4. Substitute o = n + 20 to y, which gives y = n + 52.\n5. Substitute n = l + 16 to y, which gives y = l + 68.\n6. Substitute l = 2 to y, which gives y = 70.\n\nThus, the final answer is y = \\boxed{70}.",
"index": 2777,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = s + 1; b = c + 14; v = o + 3; j = i + 17; h = l + 9; n = l + 16; s = h + 16; l = 2; o = n + 20; z = k + 20; y = j + 11; i = v + 1; k = b + 5. If l = 2, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"m": "s + 18", "f": "m + 5", "x": "f + 20", "j": "x + 12", "d": "j + 5", "c": "d + 2", "i": "s + 4", "t": "i + 1", "a": "t + 3", "w": "a + 18", "l": "w + 14", "y": "l + 3", "s": 20}, "premises": {"s": 20}, "target": "c"}, "answer": {"steps": [["d", "j + 5", "j + 7"], ["j", "x + 12", "x + 19"], ["x", "f + 20", "f + 39"], ["f", "m + 5", "m + 44"], ["m", "s + 18", "s + 62"], ["s", 20, "82"]], "target_var_name": "c", "target_value": 82, "value_dict": {"s": 20}, "is_reverse": true}}
| 2,778
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = j + 5; j = x + 12; y = l + 3; s = 20; a = t + 3; i = s + 4; x = f + 20; f = m + 5; l = w + 14; m = s + 18; t = i + 1; w = a + 18; c = d + 2. If s = 20, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = j + 5 to c, which gives c = j + 7.\n2. Substitute j = x + 12 to c, which gives c = x + 19.\n3. Substitute x = f + 20 to c, which gives c = f + 39.\n4. Substitute f = m + 5 to c, which gives c = m + 44.\n5. Substitute m = s + 18 to c, which gives c = s + 62.\n6. Substitute s = 20 to c, which gives c = 82.\n\nThus, the final answer is c = \\boxed{82}.",
"index": 2778,
"question": "Consider a system of variables where each variable is defined as follows: d = j + 5; j = x + 12; y = l + 3; s = 20; a = t + 3; i = s + 4; x = f + 20; f = m + 5; l = w + 14; m = s + 18; t = i + 1; w = a + 18; c = d + 2. If s = 20, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"l": "q + 7", "j": "l + 5", "p": "j + 20", "c": "p + 16", "h": "c + 5", "w": "h + 13", "o": "q + 10", "n": "o + 1", "u": "n + 11", "k": "u + 13", "m": "k + 12", "g": "m + 20", "q": 14}, "premises": {"q": 14}, "target": "w"}, "answer": {"steps": [["h", "c + 5", "c + 18"], ["c", "p + 16", "p + 34"], ["p", "j + 20", "j + 54"], ["j", "l + 5", "l + 59"], ["l", "q + 7", "q + 66"], ["q", 14, "80"]], "target_var_name": "w", "target_value": 80, "value_dict": {"q": 14}, "is_reverse": true}}
| 2,779
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = q + 7; g = m + 20; c = p + 16; m = k + 12; h = c + 5; u = n + 11; w = h + 13; p = j + 20; o = q + 10; k = u + 13; n = o + 1; j = l + 5; q = 14. If q = 14, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = c + 5 to w, which gives w = c + 18.\n2. Substitute c = p + 16 to w, which gives w = p + 34.\n3. Substitute p = j + 20 to w, which gives w = j + 54.\n4. Substitute j = l + 5 to w, which gives w = l + 59.\n5. Substitute l = q + 7 to w, which gives w = q + 66.\n6. Substitute q = 14 to w, which gives w = 80.\n\nThus, the final answer is w = \\boxed{80}.",
"index": 2779,
"question": "Consider a system of variables where each variable is defined as follows: l = q + 7; g = m + 20; c = p + 16; m = k + 12; h = c + 5; u = n + 11; w = h + 13; p = j + 20; o = q + 10; k = u + 13; n = o + 1; j = l + 5; q = 14. If q = 14, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"n": "v + 17", "h": "n + 6", "z": "h + 4", "m": "z + 2", "t": "m + 15", "i": "t + 18", "b": "v + 8", "a": "b + 17", "r": "a + 16", "d": "r + 1", "k": "d + 10", "g": "k + 7", "v": 8}, "premises": {"v": 8}, "target": "i"}, "answer": {"steps": [["t", "m + 15", "m + 33"], ["m", "z + 2", "z + 35"], ["z", "h + 4", "h + 39"], ["h", "n + 6", "n + 45"], ["n", "v + 17", "v + 62"], ["v", 8, "70"]], "target_var_name": "i", "target_value": 70, "value_dict": {"v": 8}, "is_reverse": true}}
| 2,780
| 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 = k + 7; m = z + 2; d = r + 1; z = h + 4; a = b + 17; k = d + 10; b = v + 8; n = v + 17; r = a + 16; i = t + 18; h = n + 6; t = m + 15; v = 8. If v = 8, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = m + 15 to i, which gives i = m + 33.\n2. Substitute m = z + 2 to i, which gives i = z + 35.\n3. Substitute z = h + 4 to i, which gives i = h + 39.\n4. Substitute h = n + 6 to i, which gives i = n + 45.\n5. Substitute n = v + 17 to i, which gives i = v + 62.\n6. Substitute v = 8 to i, which gives i = 70.\n\nThus, the final answer is i = \\boxed{70}.",
"index": 2780,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = k + 7; m = z + 2; d = r + 1; z = h + 4; a = b + 17; k = d + 10; b = v + 8; n = v + 17; r = a + 16; i = t + 18; h = n + 6; t = m + 15; v = 8. If v = 8, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"l": "u + 16", "g": "l + 4", "r": "g + 10", "s": "r + 10", "i": "s + 11", "w": "i + 11", "q": "u + 9", "v": "q + 10", "k": "v + 10", "b": "k + 5", "f": "b + 2", "j": "f + 6", "u": 13}, "premises": {"u": 13}, "target": "w"}, "answer": {"steps": [["i", "s + 11", "s + 22"], ["s", "r + 10", "r + 32"], ["r", "g + 10", "g + 42"], ["g", "l + 4", "l + 46"], ["l", "u + 16", "u + 62"], ["u", 13, "75"]], "target_var_name": "w", "target_value": 75, "value_dict": {"u": 13}, "is_reverse": true}}
| 2,781
| 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 = l + 4; w = i + 11; j = f + 6; b = k + 5; v = q + 10; q = u + 9; l = u + 16; r = g + 10; i = s + 11; k = v + 10; f = b + 2; u = 13; s = r + 10. If u = 13, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = s + 11 to w, which gives w = s + 22.\n2. Substitute s = r + 10 to w, which gives w = r + 32.\n3. Substitute r = g + 10 to w, which gives w = g + 42.\n4. Substitute g = l + 4 to w, which gives w = l + 46.\n5. Substitute l = u + 16 to w, which gives w = u + 62.\n6. Substitute u = 13 to w, which gives w = 75.\n\nThus, the final answer is w = \\boxed{75}.",
"index": 2781,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = l + 4; w = i + 11; j = f + 6; b = k + 5; v = q + 10; q = u + 9; l = u + 16; r = g + 10; i = s + 11; k = v + 10; f = b + 2; u = 13; s = r + 10. If u = 13, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"l": "v + 2", "n": "l + 9", "f": "n + 6", "o": "f + 15", "c": "o + 8", "t": "c + 8", "s": "v + 8", "w": "s + 12", "z": "w + 12", "g": "z + 8", "e": "g + 2", "x": "e + 15", "v": 9}, "premises": {"v": 9}, "target": "t"}, "answer": {"steps": [["c", "o + 8", "o + 16"], ["o", "f + 15", "f + 31"], ["f", "n + 6", "n + 37"], ["n", "l + 9", "l + 46"], ["l", "v + 2", "v + 48"], ["v", 9, "57"]], "target_var_name": "t", "target_value": 57, "value_dict": {"v": 9}, "is_reverse": true}}
| 2,782
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = e + 15; l = v + 2; t = c + 8; f = n + 6; c = o + 8; e = g + 2; w = s + 12; o = f + 15; g = z + 8; v = 9; n = l + 9; s = v + 8; z = w + 12. If v = 9, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = o + 8 to t, which gives t = o + 16.\n2. Substitute o = f + 15 to t, which gives t = f + 31.\n3. Substitute f = n + 6 to t, which gives t = n + 37.\n4. Substitute n = l + 9 to t, which gives t = l + 46.\n5. Substitute l = v + 2 to t, which gives t = v + 48.\n6. Substitute v = 9 to t, which gives t = 57.\n\nThus, the final answer is t = \\boxed{57}.",
"index": 2782,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = e + 15; l = v + 2; t = c + 8; f = n + 6; c = o + 8; e = g + 2; w = s + 12; o = f + 15; g = z + 8; v = 9; n = l + 9; s = v + 8; z = w + 12. If v = 9, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"p": "x + 5", "g": "p + 15", "m": "g + 2", "h": "m + 13", "v": "h + 9", "o": "v + 5", "c": "x + 3", "d": "c + 6", "y": "d + 19", "l": "y + 3", "u": "l + 3", "w": "u + 9", "x": 5}, "premises": {"x": 5}, "target": "o"}, "answer": {"steps": [["v", "h + 9", "h + 14"], ["h", "m + 13", "m + 27"], ["m", "g + 2", "g + 29"], ["g", "p + 15", "p + 44"], ["p", "x + 5", "x + 49"], ["x", 5, "54"]], "target_var_name": "o", "target_value": 54, "value_dict": {"x": 5}, "is_reverse": true}}
| 2,783
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = x + 5; o = v + 5; u = l + 3; w = u + 9; y = d + 19; d = c + 6; g = p + 15; l = y + 3; h = m + 13; m = g + 2; c = x + 3; x = 5; v = h + 9. If x = 5, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = h + 9 to o, which gives o = h + 14.\n2. Substitute h = m + 13 to o, which gives o = m + 27.\n3. Substitute m = g + 2 to o, which gives o = g + 29.\n4. Substitute g = p + 15 to o, which gives o = p + 44.\n5. Substitute p = x + 5 to o, which gives o = x + 49.\n6. Substitute x = 5 to o, which gives o = 54.\n\nThus, the final answer is o = \\boxed{54}.",
"index": 2783,
"question": "Consider a system of variables where each variable is defined as follows: p = x + 5; o = v + 5; u = l + 3; w = u + 9; y = d + 19; d = c + 6; g = p + 15; l = y + 3; h = m + 13; m = g + 2; c = x + 3; x = 5; v = h + 9. If x = 5, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"m": "k + 19", "w": "m + 10", "i": "w + 15", "q": "i + 13", "h": "q + 17", "n": "h + 16", "z": "k + 17", "j": "z + 5", "a": "j + 18", "y": "a + 8", "r": "y + 15", "u": "r + 9", "k": 15}, "premises": {"k": 15}, "target": "n"}, "answer": {"steps": [["h", "q + 17", "q + 33"], ["q", "i + 13", "i + 46"], ["i", "w + 15", "w + 61"], ["w", "m + 10", "m + 71"], ["m", "k + 19", "k + 90"], ["k", 15, "105"]], "target_var_name": "n", "target_value": 105, "value_dict": {"k": 15}, "is_reverse": true}}
| 2,784
| 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 = k + 17; j = z + 5; n = h + 16; m = k + 19; r = y + 15; q = i + 13; a = j + 18; u = r + 9; y = a + 8; h = q + 17; i = w + 15; w = m + 10; k = 15. If k = 15, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 105,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = q + 17 to n, which gives n = q + 33.\n2. Substitute q = i + 13 to n, which gives n = i + 46.\n3. Substitute i = w + 15 to n, which gives n = w + 61.\n4. Substitute w = m + 10 to n, which gives n = m + 71.\n5. Substitute m = k + 19 to n, which gives n = k + 90.\n6. Substitute k = 15 to n, which gives n = 105.\n\nThus, the final answer is n = \\boxed{105}.",
"index": 2784,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = k + 17; j = z + 5; n = h + 16; m = k + 19; r = y + 15; q = i + 13; a = j + 18; u = r + 9; y = a + 8; h = q + 17; i = w + 15; w = m + 10; k = 15. If k = 15, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"r": "a + 8", "l": "r + 18", "h": "l + 9", "p": "h + 8", "i": "p + 13", "t": "i + 10", "v": "a + 2", "n": "v + 3", "q": "n + 20", "b": "q + 17", "o": "b + 8", "y": "o + 4", "a": 2}, "premises": {"a": 2}, "target": "t"}, "answer": {"steps": [["i", "p + 13", "p + 23"], ["p", "h + 8", "h + 31"], ["h", "l + 9", "l + 40"], ["l", "r + 18", "r + 58"], ["r", "a + 8", "a + 66"], ["a", 2, "68"]], "target_var_name": "t", "target_value": 68, "value_dict": {"a": 2}, "is_reverse": true}}
| 2,785
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = 2; l = r + 18; i = p + 13; q = n + 20; n = v + 3; t = i + 10; v = a + 2; o = b + 8; b = q + 17; h = l + 9; r = a + 8; p = h + 8; y = o + 4. If a = 2, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = p + 13 to t, which gives t = p + 23.\n2. Substitute p = h + 8 to t, which gives t = h + 31.\n3. Substitute h = l + 9 to t, which gives t = l + 40.\n4. Substitute l = r + 18 to t, which gives t = r + 58.\n5. Substitute r = a + 8 to t, which gives t = a + 66.\n6. Substitute a = 2 to t, which gives t = 68.\n\nThus, the final answer is t = \\boxed{68}.",
"index": 2785,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = 2; l = r + 18; i = p + 13; q = n + 20; n = v + 3; t = i + 10; v = a + 2; o = b + 8; b = q + 17; h = l + 9; r = a + 8; p = h + 8; y = o + 4. If a = 2, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"s": "u + 7", "e": "s + 18", "h": "e + 4", "z": "h + 6", "y": "z + 15", "q": "y + 15", "r": "u + 4", "a": "r + 10", "x": "a + 4", "f": "x + 5", "l": "f + 3", "b": "l + 6", "u": 18}, "premises": {"u": 18}, "target": "q"}, "answer": {"steps": [["y", "z + 15", "z + 30"], ["z", "h + 6", "h + 36"], ["h", "e + 4", "e + 40"], ["e", "s + 18", "s + 58"], ["s", "u + 7", "u + 65"], ["u", 18, "83"]], "target_var_name": "q", "target_value": 83, "value_dict": {"u": 18}, "is_reverse": true}}
| 2,786
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = x + 5; h = e + 4; e = s + 18; r = u + 4; x = a + 4; l = f + 3; y = z + 15; z = h + 6; b = l + 6; a = r + 10; q = y + 15; s = u + 7; u = 18. If u = 18, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = z + 15 to q, which gives q = z + 30.\n2. Substitute z = h + 6 to q, which gives q = h + 36.\n3. Substitute h = e + 4 to q, which gives q = e + 40.\n4. Substitute e = s + 18 to q, which gives q = s + 58.\n5. Substitute s = u + 7 to q, which gives q = u + 65.\n6. Substitute u = 18 to q, which gives q = 83.\n\nThus, the final answer is q = \\boxed{83}.",
"index": 2786,
"question": "Consider a system of variables where each variable is defined as follows: f = x + 5; h = e + 4; e = s + 18; r = u + 4; x = a + 4; l = f + 3; y = z + 15; z = h + 6; b = l + 6; a = r + 10; q = y + 15; s = u + 7; u = 18. If u = 18, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"y": "x + 17", "d": "y + 14", "s": "d + 19", "v": "s + 4", "n": "v + 16", "l": "n + 20", "r": "x + 3", "t": "r + 8", "w": "t + 6", "h": "w + 1", "j": "h + 15", "g": "j + 19", "x": 13}, "premises": {"x": 13}, "target": "l"}, "answer": {"steps": [["n", "v + 16", "v + 36"], ["v", "s + 4", "s + 40"], ["s", "d + 19", "d + 59"], ["d", "y + 14", "y + 73"], ["y", "x + 17", "x + 90"], ["x", 13, "103"]], "target_var_name": "l", "target_value": 103, "value_dict": {"x": 13}, "is_reverse": true}}
| 2,787
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = x + 17; v = s + 4; s = d + 19; d = y + 14; x = 13; n = v + 16; h = w + 1; w = t + 6; j = h + 15; l = n + 20; t = r + 8; g = j + 19; r = x + 3. Given that x = 13, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 103,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = v + 16 to l, which gives l = v + 36.\n2. Substitute v = s + 4 to l, which gives l = s + 40.\n3. Substitute s = d + 19 to l, which gives l = d + 59.\n4. Substitute d = y + 14 to l, which gives l = y + 73.\n5. Substitute y = x + 17 to l, which gives l = x + 90.\n6. Substitute x = 13 to l, which gives l = 103.\n\nThus, the final answer is l = \\boxed{103}.",
"index": 2787,
"question": "Suppose a collection of variables is related by the following definitions: y = x + 17; v = s + 4; s = d + 19; d = y + 14; x = 13; n = v + 16; h = w + 1; w = t + 6; j = h + 15; l = n + 20; t = r + 8; g = j + 19; r = x + 3. Given that x = 13, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"o": "v + 19", "b": "o + 2", "m": "b + 10", "s": "m + 12", "t": "s + 14", "y": "t + 14", "i": "v + 10", "l": "i + 13", "f": "l + 19", "x": "f + 8", "d": "x + 10", "h": "d + 19", "v": 12}, "premises": {"v": 12}, "target": "y"}, "answer": {"steps": [["t", "s + 14", "s + 28"], ["s", "m + 12", "m + 40"], ["m", "b + 10", "b + 50"], ["b", "o + 2", "o + 52"], ["o", "v + 19", "v + 71"], ["v", 12, "83"]], "target_var_name": "y", "target_value": 83, "value_dict": {"v": 12}, "is_reverse": true}}
| 2,788
| 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 = l + 19; l = i + 13; d = x + 10; h = d + 19; b = o + 2; x = f + 8; o = v + 19; m = b + 10; v = 12; t = s + 14; i = v + 10; s = m + 12; y = t + 14. If v = 12, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = s + 14 to y, which gives y = s + 28.\n2. Substitute s = m + 12 to y, which gives y = m + 40.\n3. Substitute m = b + 10 to y, which gives y = b + 50.\n4. Substitute b = o + 2 to y, which gives y = o + 52.\n5. Substitute o = v + 19 to y, which gives y = v + 71.\n6. Substitute v = 12 to y, which gives y = 83.\n\nThus, the final answer is y = \\boxed{83}.",
"index": 2788,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = l + 19; l = i + 13; d = x + 10; h = d + 19; b = o + 2; x = f + 8; o = v + 19; m = b + 10; v = 12; t = s + 14; i = v + 10; s = m + 12; y = t + 14. If v = 12, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"d": "l + 13", "z": "d + 3", "i": "z + 5", "o": "i + 20", "r": "o + 15", "c": "r + 2", "y": "l + 20", "f": "y + 5", "u": "f + 5", "v": "u + 20", "a": "v + 13", "j": "a + 10", "l": 14}, "premises": {"l": 14}, "target": "c"}, "answer": {"steps": [["r", "o + 15", "o + 17"], ["o", "i + 20", "i + 37"], ["i", "z + 5", "z + 42"], ["z", "d + 3", "d + 45"], ["d", "l + 13", "l + 58"], ["l", 14, "72"]], "target_var_name": "c", "target_value": 72, "value_dict": {"l": 14}, "is_reverse": true}}
| 2,789
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = f + 5; c = r + 2; f = y + 5; i = z + 5; z = d + 3; d = l + 13; o = i + 20; l = 14; v = u + 20; r = o + 15; a = v + 13; j = a + 10; y = l + 20. Given that l = 14, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = o + 15 to c, which gives c = o + 17.\n2. Substitute o = i + 20 to c, which gives c = i + 37.\n3. Substitute i = z + 5 to c, which gives c = z + 42.\n4. Substitute z = d + 3 to c, which gives c = d + 45.\n5. Substitute d = l + 13 to c, which gives c = l + 58.\n6. Substitute l = 14 to c, which gives c = 72.\n\nThus, the final answer is c = \\boxed{72}.",
"index": 2789,
"question": "Suppose a collection of variables is related by the following definitions: u = f + 5; c = r + 2; f = y + 5; i = z + 5; z = d + 3; d = l + 13; o = i + 20; l = 14; v = u + 20; r = o + 15; a = v + 13; j = a + 10; y = l + 20. Given that l = 14, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"j": "v + 2", "z": "j + 18", "i": "z + 11", "m": "i + 1", "u": "m + 6", "t": "u + 14", "p": "v + 1", "k": "p + 3", "h": "k + 17", "s": "h + 8", "q": "s + 1", "a": "q + 6", "v": 12}, "premises": {"v": 12}, "target": "t"}, "answer": {"steps": [["u", "m + 6", "m + 20"], ["m", "i + 1", "i + 21"], ["i", "z + 11", "z + 32"], ["z", "j + 18", "j + 50"], ["j", "v + 2", "v + 52"], ["v", 12, "64"]], "target_var_name": "t", "target_value": 64, "value_dict": {"v": 12}, "is_reverse": true}}
| 2,790
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = z + 11; k = p + 3; j = v + 2; a = q + 6; s = h + 8; u = m + 6; m = i + 1; p = v + 1; q = s + 1; t = u + 14; h = k + 17; v = 12; z = j + 18. If v = 12, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = m + 6 to t, which gives t = m + 20.\n2. Substitute m = i + 1 to t, which gives t = i + 21.\n3. Substitute i = z + 11 to t, which gives t = z + 32.\n4. Substitute z = j + 18 to t, which gives t = j + 50.\n5. Substitute j = v + 2 to t, which gives t = v + 52.\n6. Substitute v = 12 to t, which gives t = 64.\n\nThus, the final answer is t = \\boxed{64}.",
"index": 2790,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = z + 11; k = p + 3; j = v + 2; a = q + 6; s = h + 8; u = m + 6; m = i + 1; p = v + 1; q = s + 1; t = u + 14; h = k + 17; v = 12; z = j + 18. If v = 12, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"i": "s + 2", "d": "i + 17", "h": "d + 15", "w": "h + 20", "y": "w + 14", "q": "y + 14", "k": "s + 19", "a": "k + 4", "e": "a + 16", "c": "e + 5", "v": "c + 13", "n": "v + 3", "s": 2}, "premises": {"s": 2}, "target": "q"}, "answer": {"steps": [["y", "w + 14", "w + 28"], ["w", "h + 20", "h + 48"], ["h", "d + 15", "d + 63"], ["d", "i + 17", "i + 80"], ["i", "s + 2", "s + 82"], ["s", 2, "84"]], "target_var_name": "q", "target_value": 84, "value_dict": {"s": 2}, "is_reverse": true}}
| 2,791
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = c + 13; h = d + 15; y = w + 14; s = 2; d = i + 17; c = e + 5; k = s + 19; q = y + 14; i = s + 2; w = h + 20; a = k + 4; e = a + 16; n = v + 3. Given that s = 2, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = w + 14 to q, which gives q = w + 28.\n2. Substitute w = h + 20 to q, which gives q = h + 48.\n3. Substitute h = d + 15 to q, which gives q = d + 63.\n4. Substitute d = i + 17 to q, which gives q = i + 80.\n5. Substitute i = s + 2 to q, which gives q = s + 82.\n6. Substitute s = 2 to q, which gives q = 84.\n\nThus, the final answer is q = \\boxed{84}.",
"index": 2791,
"question": "Suppose a collection of variables is related by the following definitions: v = c + 13; h = d + 15; y = w + 14; s = 2; d = i + 17; c = e + 5; k = s + 19; q = y + 14; i = s + 2; w = h + 20; a = k + 4; e = a + 16; n = v + 3. Given that s = 2, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"i": "g + 7", "a": "i + 5", "h": "a + 13", "k": "h + 1", "t": "k + 3", "l": "t + 5", "p": "g + 12", "u": "p + 6", "c": "u + 14", "f": "c + 20", "n": "f + 15", "j": "n + 3", "g": 15}, "premises": {"g": 15}, "target": "l"}, "answer": {"steps": [["t", "k + 3", "k + 8"], ["k", "h + 1", "h + 9"], ["h", "a + 13", "a + 22"], ["a", "i + 5", "i + 27"], ["i", "g + 7", "g + 34"], ["g", 15, "49"]], "target_var_name": "l", "target_value": 49, "value_dict": {"g": 15}, "is_reverse": true}}
| 2,792
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = 15; c = u + 14; j = n + 3; p = g + 12; n = f + 15; k = h + 1; t = k + 3; l = t + 5; a = i + 5; f = c + 20; i = g + 7; h = a + 13; u = p + 6. If g = 15, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = k + 3 to l, which gives l = k + 8.\n2. Substitute k = h + 1 to l, which gives l = h + 9.\n3. Substitute h = a + 13 to l, which gives l = a + 22.\n4. Substitute a = i + 5 to l, which gives l = i + 27.\n5. Substitute i = g + 7 to l, which gives l = g + 34.\n6. Substitute g = 15 to l, which gives l = 49.\n\nThus, the final answer is l = \\boxed{49}.",
"index": 2792,
"question": "Consider a system of variables where each variable is defined as follows: g = 15; c = u + 14; j = n + 3; p = g + 12; n = f + 15; k = h + 1; t = k + 3; l = t + 5; a = i + 5; f = c + 20; i = g + 7; h = a + 13; u = p + 6. If g = 15, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"j": "s + 15", "b": "j + 9", "a": "b + 9", "u": "a + 8", "f": "u + 16", "v": "f + 5", "k": "s + 11", "w": "k + 12", "t": "w + 6", "p": "t + 15", "i": "p + 7", "h": "i + 11", "s": 3}, "premises": {"s": 3}, "target": "v"}, "answer": {"steps": [["f", "u + 16", "u + 21"], ["u", "a + 8", "a + 29"], ["a", "b + 9", "b + 38"], ["b", "j + 9", "j + 47"], ["j", "s + 15", "s + 62"], ["s", 3, "65"]], "target_var_name": "v", "target_value": 65, "value_dict": {"s": 3}, "is_reverse": true}}
| 2,793
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = f + 5; w = k + 12; a = b + 9; i = p + 7; j = s + 15; t = w + 6; b = j + 9; k = s + 11; f = u + 16; u = a + 8; s = 3; p = t + 15; h = i + 11. Given that s = 3, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = u + 16 to v, which gives v = u + 21.\n2. Substitute u = a + 8 to v, which gives v = a + 29.\n3. Substitute a = b + 9 to v, which gives v = b + 38.\n4. Substitute b = j + 9 to v, which gives v = j + 47.\n5. Substitute j = s + 15 to v, which gives v = s + 62.\n6. Substitute s = 3 to v, which gives v = 65.\n\nThus, the final answer is v = \\boxed{65}.",
"index": 2793,
"question": "Suppose a collection of variables is related by the following definitions: v = f + 5; w = k + 12; a = b + 9; i = p + 7; j = s + 15; t = w + 6; b = j + 9; k = s + 11; f = u + 16; u = a + 8; s = 3; p = t + 15; h = i + 11. Given that s = 3, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"h": "w + 6", "q": "h + 13", "x": "q + 20", "b": "x + 15", "f": "b + 11", "e": "f + 1", "y": "w + 16", "g": "y + 20", "t": "g + 19", "z": "t + 19", "c": "z + 5", "l": "c + 8", "w": 8}, "premises": {"w": 8}, "target": "e"}, "answer": {"steps": [["f", "b + 11", "b + 12"], ["b", "x + 15", "x + 27"], ["x", "q + 20", "q + 47"], ["q", "h + 13", "h + 60"], ["h", "w + 6", "w + 66"], ["w", 8, "74"]], "target_var_name": "e", "target_value": 74, "value_dict": {"w": 8}, "is_reverse": true}}
| 2,794
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = z + 5; e = f + 1; q = h + 13; z = t + 19; g = y + 20; f = b + 11; w = 8; b = x + 15; l = c + 8; x = q + 20; h = w + 6; t = g + 19; y = w + 16. If w = 8, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = b + 11 to e, which gives e = b + 12.\n2. Substitute b = x + 15 to e, which gives e = x + 27.\n3. Substitute x = q + 20 to e, which gives e = q + 47.\n4. Substitute q = h + 13 to e, which gives e = h + 60.\n5. Substitute h = w + 6 to e, which gives e = w + 66.\n6. Substitute w = 8 to e, which gives e = 74.\n\nThus, the final answer is e = \\boxed{74}.",
"index": 2794,
"question": "Consider a system of variables where each variable is defined as follows: c = z + 5; e = f + 1; q = h + 13; z = t + 19; g = y + 20; f = b + 11; w = 8; b = x + 15; l = c + 8; x = q + 20; h = w + 6; t = g + 19; y = w + 16. If w = 8, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"o": "e + 18", "z": "o + 4", "g": "z + 10", "j": "g + 17", "s": "j + 11", "f": "s + 3", "c": "e + 1", "p": "c + 4", "b": "p + 4", "m": "b + 15", "r": "m + 6", "q": "r + 17", "e": 4}, "premises": {"e": 4}, "target": "f"}, "answer": {"steps": [["s", "j + 11", "j + 14"], ["j", "g + 17", "g + 31"], ["g", "z + 10", "z + 41"], ["z", "o + 4", "o + 45"], ["o", "e + 18", "e + 63"], ["e", 4, "67"]], "target_var_name": "f", "target_value": 67, "value_dict": {"e": 4}, "is_reverse": true}}
| 2,795
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = s + 3; z = o + 4; m = b + 15; s = j + 11; p = c + 4; c = e + 1; b = p + 4; e = 4; o = e + 18; r = m + 6; j = g + 17; q = r + 17; g = z + 10. Given that e = 4, find the 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 s = j + 11 to f, which gives f = j + 14.\n2. Substitute j = g + 17 to f, which gives f = g + 31.\n3. Substitute g = z + 10 to f, which gives f = z + 41.\n4. Substitute z = o + 4 to f, which gives f = o + 45.\n5. Substitute o = e + 18 to f, which gives f = e + 63.\n6. Substitute e = 4 to f, which gives f = 67.\n\nThus, the final answer is f = \\boxed{67}.",
"index": 2795,
"question": "Suppose a collection of variables is related by the following definitions: f = s + 3; z = o + 4; m = b + 15; s = j + 11; p = c + 4; c = e + 1; b = p + 4; e = 4; o = e + 18; r = m + 6; j = g + 17; q = r + 17; g = z + 10. Given that e = 4, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"b": "o + 16", "z": "b + 3", "k": "z + 8", "h": "k + 10", "c": "h + 2", "a": "c + 16", "r": "o + 1", "j": "r + 5", "d": "j + 5", "v": "d + 15", "i": "v + 6", "l": "i + 18", "o": 10}, "premises": {"o": 10}, "target": "a"}, "answer": {"steps": [["c", "h + 2", "h + 18"], ["h", "k + 10", "k + 28"], ["k", "z + 8", "z + 36"], ["z", "b + 3", "b + 39"], ["b", "o + 16", "o + 55"], ["o", 10, "65"]], "target_var_name": "a", "target_value": 65, "value_dict": {"o": 10}, "is_reverse": true}}
| 2,796
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = k + 10; c = h + 2; v = d + 15; b = o + 16; r = o + 1; j = r + 5; k = z + 8; a = c + 16; l = i + 18; z = b + 3; d = j + 5; o = 10; i = v + 6. If o = 10, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = h + 2 to a, which gives a = h + 18.\n2. Substitute h = k + 10 to a, which gives a = k + 28.\n3. Substitute k = z + 8 to a, which gives a = z + 36.\n4. Substitute z = b + 3 to a, which gives a = b + 39.\n5. Substitute b = o + 16 to a, which gives a = o + 55.\n6. Substitute o = 10 to a, which gives a = 65.\n\nThus, the final answer is a = \\boxed{65}.",
"index": 2796,
"question": "Consider a system of variables where each variable is defined as follows: h = k + 10; c = h + 2; v = d + 15; b = o + 16; r = o + 1; j = r + 5; k = z + 8; a = c + 16; l = i + 18; z = b + 3; d = j + 5; o = 10; i = v + 6. If o = 10, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"r": "l + 19", "k": "r + 5", "w": "k + 1", "o": "w + 10", "j": "o + 17", "x": "j + 12", "b": "l + 11", "d": "b + 13", "c": "d + 18", "e": "c + 12", "y": "e + 2", "z": "y + 1", "l": 5}, "premises": {"l": 5}, "target": "x"}, "answer": {"steps": [["j", "o + 17", "o + 29"], ["o", "w + 10", "w + 39"], ["w", "k + 1", "k + 40"], ["k", "r + 5", "r + 45"], ["r", "l + 19", "l + 64"], ["l", 5, "69"]], "target_var_name": "x", "target_value": 69, "value_dict": {"l": 5}, "is_reverse": true}}
| 2,797
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = w + 10; d = b + 13; e = c + 12; r = l + 19; k = r + 5; c = d + 18; z = y + 1; x = j + 12; l = 5; j = o + 17; b = l + 11; w = k + 1; y = e + 2. If l = 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 j = o + 17 to x, which gives x = o + 29.\n2. Substitute o = w + 10 to x, which gives x = w + 39.\n3. Substitute w = k + 1 to x, which gives x = k + 40.\n4. Substitute k = r + 5 to x, which gives x = r + 45.\n5. Substitute r = l + 19 to x, which gives x = l + 64.\n6. Substitute l = 5 to x, which gives x = 69.\n\nThus, the final answer is x = \\boxed{69}.",
"index": 2797,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = w + 10; d = b + 13; e = c + 12; r = l + 19; k = r + 5; c = d + 18; z = y + 1; x = j + 12; l = 5; j = o + 17; b = l + 11; w = k + 1; y = e + 2. If l = 5, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"g": "n + 19", "o": "g + 2", "u": "o + 15", "p": "u + 4", "k": "p + 4", "d": "k + 2", "j": "n + 1", "l": "j + 6", "t": "l + 3", "e": "t + 9", "b": "e + 2", "a": "b + 9", "n": 10}, "premises": {"n": 10}, "target": "d"}, "answer": {"steps": [["k", "p + 4", "p + 6"], ["p", "u + 4", "u + 10"], ["u", "o + 15", "o + 25"], ["o", "g + 2", "g + 27"], ["g", "n + 19", "n + 46"], ["n", 10, "56"]], "target_var_name": "d", "target_value": 56, "value_dict": {"n": 10}, "is_reverse": true}}
| 2,798
| 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 = 10; b = e + 2; d = k + 2; t = l + 3; j = n + 1; k = p + 4; e = t + 9; p = u + 4; l = j + 6; a = b + 9; u = o + 15; g = n + 19; o = g + 2. If n = 10, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = p + 4 to d, which gives d = p + 6.\n2. Substitute p = u + 4 to d, which gives d = u + 10.\n3. Substitute u = o + 15 to d, which gives d = o + 25.\n4. Substitute o = g + 2 to d, which gives d = g + 27.\n5. Substitute g = n + 19 to d, which gives d = n + 46.\n6. Substitute n = 10 to d, which gives d = 56.\n\nThus, the final answer is d = \\boxed{56}.",
"index": 2798,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = 10; b = e + 2; d = k + 2; t = l + 3; j = n + 1; k = p + 4; e = t + 9; p = u + 4; l = j + 6; a = b + 9; u = o + 15; g = n + 19; o = g + 2. If n = 10, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"o": "g + 17", "d": "o + 7", "y": "d + 18", "v": "y + 4", "s": "v + 10", "j": "s + 16", "a": "g + 17", "z": "a + 1", "n": "z + 3", "i": "n + 13", "t": "i + 16", "p": "t + 20", "g": 20}, "premises": {"g": 20}, "target": "j"}, "answer": {"steps": [["s", "v + 10", "v + 26"], ["v", "y + 4", "y + 30"], ["y", "d + 18", "d + 48"], ["d", "o + 7", "o + 55"], ["o", "g + 17", "g + 72"], ["g", 20, "92"]], "target_var_name": "j", "target_value": 92, "value_dict": {"g": 20}, "is_reverse": true}}
| 2,799
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = a + 1; i = n + 13; o = g + 17; g = 20; v = y + 4; p = t + 20; j = s + 16; y = d + 18; d = o + 7; a = g + 17; n = z + 3; s = v + 10; t = i + 16. Given that g = 20, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = v + 10 to j, which gives j = v + 26.\n2. Substitute v = y + 4 to j, which gives j = y + 30.\n3. Substitute y = d + 18 to j, which gives j = d + 48.\n4. Substitute d = o + 7 to j, which gives j = o + 55.\n5. Substitute o = g + 17 to j, which gives j = g + 72.\n6. Substitute g = 20 to j, which gives j = 92.\n\nThus, the final answer is j = \\boxed{92}.",
"index": 2799,
"question": "Suppose a collection of variables is related by the following definitions: z = a + 1; i = n + 13; o = g + 17; g = 20; v = y + 4; p = t + 20; j = s + 16; y = d + 18; d = o + 7; a = g + 17; n = z + 3; s = v + 10; t = i + 16. Given that g = 20, find the value of j.",
"split": "train"
}
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.