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25.6k
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stringclasses 1
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listlengths 1
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dict | extra_info
dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"f": "g + 3", "k": "f + 5", "z": "k + 3", "s": "z + 8", "j": "s + 20", "o": "j + 15", "w": "g + 9", "x": "w + 18", "l": "x + 19", "e": "l + 2", "a": "e + 7", "q": "a + 9", "g": 15}, "premises": {"g": 15}, "target": "o"}, "answer": {"steps": [["j", "s + 20", "s + 35"], ["s", "z + 8", "z + 43"], ["z", "k + 3", "k + 46"], ["k", "f + 5", "f + 51"], ["f", "g + 3", "g + 54"], ["g", 15, "69"]], "target_var_name": "o", "target_value": 69, "value_dict": {"g": 15}, "is_reverse": true}}
| 1,200
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = w + 18; q = a + 9; a = e + 7; k = f + 5; j = s + 20; l = x + 19; w = g + 9; o = j + 15; e = l + 2; z = k + 3; s = z + 8; f = g + 3; g = 15. Given that g = 15, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = s + 20 to o, which gives o = s + 35.\n2. Substitute s = z + 8 to o, which gives o = z + 43.\n3. Substitute z = k + 3 to o, which gives o = k + 46.\n4. Substitute k = f + 5 to o, which gives o = f + 51.\n5. Substitute f = g + 3 to o, which gives o = g + 54.\n6. Substitute g = 15 to o, which gives o = 69.\n\nThus, the final answer is o = \\boxed{69}.",
"index": 1200,
"question": "Suppose a collection of variables is related by the following definitions: x = w + 18; q = a + 9; a = e + 7; k = f + 5; j = s + 20; l = x + 19; w = g + 9; o = j + 15; e = l + 2; z = k + 3; s = z + 8; f = g + 3; g = 15. Given that g = 15, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"o": "g + 1", "f": "o + 18", "n": "f + 2", "v": "n + 6", "r": "v + 13", "z": "r + 7", "i": "g + 1", "d": "i + 10", "x": "d + 2", "k": "x + 15", "l": "k + 6", "t": "l + 12", "g": 8}, "premises": {"g": 8}, "target": "z"}, "answer": {"steps": [["r", "v + 13", "v + 20"], ["v", "n + 6", "n + 26"], ["n", "f + 2", "f + 28"], ["f", "o + 18", "o + 46"], ["o", "g + 1", "g + 47"], ["g", 8, "55"]], "target_var_name": "z", "target_value": 55, "value_dict": {"g": 8}, "is_reverse": true}}
| 1,201
| 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 = g + 1; r = v + 13; g = 8; n = f + 2; f = o + 18; t = l + 12; o = g + 1; z = r + 7; d = i + 10; k = x + 15; l = k + 6; x = d + 2; v = n + 6. If g = 8, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = v + 13 to z, which gives z = v + 20.\n2. Substitute v = n + 6 to z, which gives z = n + 26.\n3. Substitute n = f + 2 to z, which gives z = f + 28.\n4. Substitute f = o + 18 to z, which gives z = o + 46.\n5. Substitute o = g + 1 to z, which gives z = g + 47.\n6. Substitute g = 8 to z, which gives z = 55.\n\nThus, the final answer is z = \\boxed{55}.",
"index": 1201,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = g + 1; r = v + 13; g = 8; n = f + 2; f = o + 18; t = l + 12; o = g + 1; z = r + 7; d = i + 10; k = x + 15; l = k + 6; x = d + 2; v = n + 6. If g = 8, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"u": "l + 9", "v": "u + 14", "b": "v + 1", "i": "b + 20", "h": "i + 5", "c": "h + 12", "g": "l + 6", "q": "g + 20", "e": "q + 11", "y": "e + 2", "j": "y + 5", "o": "j + 15", "l": 14}, "premises": {"l": 14}, "target": "c"}, "answer": {"steps": [["h", "i + 5", "i + 17"], ["i", "b + 20", "b + 37"], ["b", "v + 1", "v + 38"], ["v", "u + 14", "u + 52"], ["u", "l + 9", "l + 61"], ["l", 14, "75"]], "target_var_name": "c", "target_value": 75, "value_dict": {"l": 14}, "is_reverse": true}}
| 1,202
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = u + 14; q = g + 20; u = l + 9; y = e + 2; o = j + 15; j = y + 5; g = l + 6; i = b + 20; l = 14; e = q + 11; c = h + 12; h = i + 5; b = v + 1. If l = 14, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = i + 5 to c, which gives c = i + 17.\n2. Substitute i = b + 20 to c, which gives c = b + 37.\n3. Substitute b = v + 1 to c, which gives c = v + 38.\n4. Substitute v = u + 14 to c, which gives c = u + 52.\n5. Substitute u = l + 9 to c, which gives c = l + 61.\n6. Substitute l = 14 to c, which gives c = 75.\n\nThus, the final answer is c = \\boxed{75}.",
"index": 1202,
"question": "Consider a system of variables where each variable is defined as follows: v = u + 14; q = g + 20; u = l + 9; y = e + 2; o = j + 15; j = y + 5; g = l + 6; i = b + 20; l = 14; e = q + 11; c = h + 12; h = i + 5; b = v + 1. If l = 14, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"p": "o + 13", "m": "p + 8", "i": "m + 14", "d": "i + 16", "x": "d + 12", "z": "x + 3", "v": "o + 1", "l": "v + 3", "q": "l + 20", "j": "q + 6", "r": "j + 15", "c": "r + 14", "o": 4}, "premises": {"o": 4}, "target": "z"}, "answer": {"steps": [["x", "d + 12", "d + 15"], ["d", "i + 16", "i + 31"], ["i", "m + 14", "m + 45"], ["m", "p + 8", "p + 53"], ["p", "o + 13", "o + 66"], ["o", 4, "70"]], "target_var_name": "z", "target_value": 70, "value_dict": {"o": 4}, "is_reverse": true}}
| 1,203
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = p + 8; r = j + 15; v = o + 1; c = r + 14; p = o + 13; x = d + 12; i = m + 14; j = q + 6; d = i + 16; z = x + 3; l = v + 3; q = l + 20; o = 4. Given that o = 4, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = d + 12 to z, which gives z = d + 15.\n2. Substitute d = i + 16 to z, which gives z = i + 31.\n3. Substitute i = m + 14 to z, which gives z = m + 45.\n4. Substitute m = p + 8 to z, which gives z = p + 53.\n5. Substitute p = o + 13 to z, which gives z = o + 66.\n6. Substitute o = 4 to z, which gives z = 70.\n\nThus, the final answer is z = \\boxed{70}.",
"index": 1203,
"question": "Suppose a collection of variables is related by the following definitions: m = p + 8; r = j + 15; v = o + 1; c = r + 14; p = o + 13; x = d + 12; i = m + 14; j = q + 6; d = i + 16; z = x + 3; l = v + 3; q = l + 20; o = 4. Given that o = 4, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"r": "f + 20", "j": "r + 11", "x": "j + 7", "z": "x + 16", "a": "z + 14", "b": "a + 20", "c": "f + 15", "h": "c + 15", "p": "h + 20", "w": "p + 2", "e": "w + 10", "t": "e + 20", "f": 17}, "premises": {"f": 17}, "target": "b"}, "answer": {"steps": [["a", "z + 14", "z + 34"], ["z", "x + 16", "x + 50"], ["x", "j + 7", "j + 57"], ["j", "r + 11", "r + 68"], ["r", "f + 20", "f + 88"], ["f", 17, "105"]], "target_var_name": "b", "target_value": 105, "value_dict": {"f": 17}, "is_reverse": true}}
| 1,204
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = f + 20; j = r + 11; x = j + 7; b = a + 20; z = x + 16; e = w + 10; a = z + 14; f = 17; c = f + 15; p = h + 20; t = e + 20; h = c + 15; w = p + 2. If f = 17, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 105,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = z + 14 to b, which gives b = z + 34.\n2. Substitute z = x + 16 to b, which gives b = x + 50.\n3. Substitute x = j + 7 to b, which gives b = j + 57.\n4. Substitute j = r + 11 to b, which gives b = r + 68.\n5. Substitute r = f + 20 to b, which gives b = f + 88.\n6. Substitute f = 17 to b, which gives b = 105.\n\nThus, the final answer is b = \\boxed{105}.",
"index": 1204,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = f + 20; j = r + 11; x = j + 7; b = a + 20; z = x + 16; e = w + 10; a = z + 14; f = 17; c = f + 15; p = h + 20; t = e + 20; h = c + 15; w = p + 2. If f = 17, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"f": "v + 18", "t": "f + 12", "w": "t + 10", "j": "w + 2", "b": "j + 8", "g": "b + 16", "z": "v + 18", "p": "z + 20", "n": "p + 7", "d": "n + 2", "s": "d + 17", "m": "s + 15", "v": 15}, "premises": {"v": 15}, "target": "g"}, "answer": {"steps": [["b", "j + 8", "j + 24"], ["j", "w + 2", "w + 26"], ["w", "t + 10", "t + 36"], ["t", "f + 12", "f + 48"], ["f", "v + 18", "v + 66"], ["v", 15, "81"]], "target_var_name": "g", "target_value": 81, "value_dict": {"v": 15}, "is_reverse": true}}
| 1,205
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = j + 8; t = f + 12; f = v + 18; v = 15; p = z + 20; d = n + 2; n = p + 7; m = s + 15; z = v + 18; s = d + 17; w = t + 10; g = b + 16; j = w + 2. Given that v = 15, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = j + 8 to g, which gives g = j + 24.\n2. Substitute j = w + 2 to g, which gives g = w + 26.\n3. Substitute w = t + 10 to g, which gives g = t + 36.\n4. Substitute t = f + 12 to g, which gives g = f + 48.\n5. Substitute f = v + 18 to g, which gives g = v + 66.\n6. Substitute v = 15 to g, which gives g = 81.\n\nThus, the final answer is g = \\boxed{81}.",
"index": 1205,
"question": "Suppose a collection of variables is related by the following definitions: b = j + 8; t = f + 12; f = v + 18; v = 15; p = z + 20; d = n + 2; n = p + 7; m = s + 15; z = v + 18; s = d + 17; w = t + 10; g = b + 16; j = w + 2. Given that v = 15, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"f": "q + 15", "n": "f + 16", "h": "n + 8", "o": "h + 4", "d": "o + 18", "s": "d + 8", "r": "q + 20", "k": "r + 5", "i": "k + 4", "w": "i + 13", "v": "w + 3", "e": "v + 14", "q": 13}, "premises": {"q": 13}, "target": "s"}, "answer": {"steps": [["d", "o + 18", "o + 26"], ["o", "h + 4", "h + 30"], ["h", "n + 8", "n + 38"], ["n", "f + 16", "f + 54"], ["f", "q + 15", "q + 69"], ["q", 13, "82"]], "target_var_name": "s", "target_value": 82, "value_dict": {"q": 13}, "is_reverse": true}}
| 1,206
| 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 + 4; f = q + 15; o = h + 4; d = o + 18; s = d + 8; e = v + 14; h = n + 8; q = 13; n = f + 16; k = r + 5; v = w + 3; r = q + 20; w = i + 13. If q = 13, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = o + 18 to s, which gives s = o + 26.\n2. Substitute o = h + 4 to s, which gives s = h + 30.\n3. Substitute h = n + 8 to s, which gives s = n + 38.\n4. Substitute n = f + 16 to s, which gives s = f + 54.\n5. Substitute f = q + 15 to s, which gives s = q + 69.\n6. Substitute q = 13 to s, which gives s = 82.\n\nThus, the final answer is s = \\boxed{82}.",
"index": 1206,
"question": "Consider a system of variables where each variable is defined as follows: i = k + 4; f = q + 15; o = h + 4; d = o + 18; s = d + 8; e = v + 14; h = n + 8; q = 13; n = f + 16; k = r + 5; v = w + 3; r = q + 20; w = i + 13. If q = 13, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"v": "n + 15", "o": "v + 18", "l": "o + 11", "y": "l + 18", "z": "y + 3", "e": "z + 8", "b": "n + 8", "x": "b + 2", "s": "x + 7", "i": "s + 17", "u": "i + 17", "f": "u + 20", "n": 20}, "premises": {"n": 20}, "target": "e"}, "answer": {"steps": [["z", "y + 3", "y + 11"], ["y", "l + 18", "l + 29"], ["l", "o + 11", "o + 40"], ["o", "v + 18", "v + 58"], ["v", "n + 15", "n + 73"], ["n", 20, "93"]], "target_var_name": "e", "target_value": 93, "value_dict": {"n": 20}, "is_reverse": true}}
| 1,207
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = 20; e = z + 8; i = s + 17; b = n + 8; u = i + 17; z = y + 3; f = u + 20; o = v + 18; v = n + 15; x = b + 2; y = l + 18; l = o + 11; s = x + 7. Given that n = 20, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = y + 3 to e, which gives e = y + 11.\n2. Substitute y = l + 18 to e, which gives e = l + 29.\n3. Substitute l = o + 11 to e, which gives e = o + 40.\n4. Substitute o = v + 18 to e, which gives e = v + 58.\n5. Substitute v = n + 15 to e, which gives e = n + 73.\n6. Substitute n = 20 to e, which gives e = 93.\n\nThus, the final answer is e = \\boxed{93}.",
"index": 1207,
"question": "Suppose a collection of variables is related by the following definitions: n = 20; e = z + 8; i = s + 17; b = n + 8; u = i + 17; z = y + 3; f = u + 20; o = v + 18; v = n + 15; x = b + 2; y = l + 18; l = o + 11; s = x + 7. Given that n = 20, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"q": "c + 18", "e": "q + 10", "j": "e + 11", "z": "j + 10", "s": "z + 12", "y": "s + 14", "p": "c + 6", "g": "p + 19", "d": "g + 3", "h": "d + 20", "n": "h + 18", "a": "n + 8", "c": 12}, "premises": {"c": 12}, "target": "y"}, "answer": {"steps": [["s", "z + 12", "z + 26"], ["z", "j + 10", "j + 36"], ["j", "e + 11", "e + 47"], ["e", "q + 10", "q + 57"], ["q", "c + 18", "c + 75"], ["c", 12, "87"]], "target_var_name": "y", "target_value": 87, "value_dict": {"c": 12}, "is_reverse": true}}
| 1,208
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = g + 3; c = 12; g = p + 19; j = e + 11; e = q + 10; q = c + 18; z = j + 10; s = z + 12; y = s + 14; a = n + 8; p = c + 6; h = d + 20; n = h + 18. If c = 12, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = z + 12 to y, which gives y = z + 26.\n2. Substitute z = j + 10 to y, which gives y = j + 36.\n3. Substitute j = e + 11 to y, which gives y = e + 47.\n4. Substitute e = q + 10 to y, which gives y = q + 57.\n5. Substitute q = c + 18 to y, which gives y = c + 75.\n6. Substitute c = 12 to y, which gives y = 87.\n\nThus, the final answer is y = \\boxed{87}.",
"index": 1208,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = g + 3; c = 12; g = p + 19; j = e + 11; e = q + 10; q = c + 18; z = j + 10; s = z + 12; y = s + 14; a = n + 8; p = c + 6; h = d + 20; n = h + 18. If c = 12, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"e": "d + 20", "n": "e + 1", "y": "n + 8", "u": "y + 8", "q": "u + 3", "v": "q + 8", "b": "d + 17", "j": "b + 5", "p": "j + 4", "h": "p + 10", "z": "h + 4", "l": "z + 19", "d": 2}, "premises": {"d": 2}, "target": "v"}, "answer": {"steps": [["q", "u + 3", "u + 11"], ["u", "y + 8", "y + 19"], ["y", "n + 8", "n + 27"], ["n", "e + 1", "e + 28"], ["e", "d + 20", "d + 48"], ["d", 2, "50"]], "target_var_name": "v", "target_value": 50, "value_dict": {"d": 2}, "is_reverse": true}}
| 1,209
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = b + 5; u = y + 8; p = j + 4; q = u + 3; z = h + 4; h = p + 10; n = e + 1; e = d + 20; d = 2; v = q + 8; b = d + 17; l = z + 19; y = n + 8. If d = 2, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 50,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = u + 3 to v, which gives v = u + 11.\n2. Substitute u = y + 8 to v, which gives v = y + 19.\n3. Substitute y = n + 8 to v, which gives v = n + 27.\n4. Substitute n = e + 1 to v, which gives v = e + 28.\n5. Substitute e = d + 20 to v, which gives v = d + 48.\n6. Substitute d = 2 to v, which gives v = 50.\n\nThus, the final answer is v = \\boxed{50}.",
"index": 1209,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = b + 5; u = y + 8; p = j + 4; q = u + 3; z = h + 4; h = p + 10; n = e + 1; e = d + 20; d = 2; v = q + 8; b = d + 17; l = z + 19; y = n + 8. If d = 2, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"j": "c + 12", "b": "j + 12", "u": "b + 11", "w": "u + 17", "s": "w + 9", "h": "s + 18", "d": "c + 14", "x": "d + 3", "v": "x + 4", "z": "v + 11", "i": "z + 18", "o": "i + 16", "c": 5}, "premises": {"c": 5}, "target": "h"}, "answer": {"steps": [["s", "w + 9", "w + 27"], ["w", "u + 17", "u + 44"], ["u", "b + 11", "b + 55"], ["b", "j + 12", "j + 67"], ["j", "c + 12", "c + 79"], ["c", 5, "84"]], "target_var_name": "h", "target_value": 84, "value_dict": {"c": 5}, "is_reverse": true}}
| 1,210
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = s + 18; b = j + 12; z = v + 11; j = c + 12; i = z + 18; v = x + 4; w = u + 17; u = b + 11; o = i + 16; c = 5; d = c + 14; s = w + 9; x = d + 3. If c = 5, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = w + 9 to h, which gives h = w + 27.\n2. Substitute w = u + 17 to h, which gives h = u + 44.\n3. Substitute u = b + 11 to h, which gives h = b + 55.\n4. Substitute b = j + 12 to h, which gives h = j + 67.\n5. Substitute j = c + 12 to h, which gives h = c + 79.\n6. Substitute c = 5 to h, which gives h = 84.\n\nThus, the final answer is h = \\boxed{84}.",
"index": 1210,
"question": "Consider a system of variables where each variable is defined as follows: h = s + 18; b = j + 12; z = v + 11; j = c + 12; i = z + 18; v = x + 4; w = u + 17; u = b + 11; o = i + 16; c = 5; d = c + 14; s = w + 9; x = d + 3. If c = 5, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"x": "c + 14", "z": "x + 12", "u": "z + 18", "l": "u + 14", "g": "l + 15", "m": "g + 2", "a": "c + 3", "e": "a + 14", "v": "e + 1", "t": "v + 10", "k": "t + 18", "h": "k + 13", "c": 8}, "premises": {"c": 8}, "target": "m"}, "answer": {"steps": [["g", "l + 15", "l + 17"], ["l", "u + 14", "u + 31"], ["u", "z + 18", "z + 49"], ["z", "x + 12", "x + 61"], ["x", "c + 14", "c + 75"], ["c", 8, "83"]], "target_var_name": "m", "target_value": 83, "value_dict": {"c": 8}, "is_reverse": true}}
| 1,211
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = c + 14; z = x + 12; k = t + 18; u = z + 18; g = l + 15; v = e + 1; m = g + 2; l = u + 14; e = a + 14; a = c + 3; c = 8; h = k + 13; t = v + 10. Given that c = 8, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = l + 15 to m, which gives m = l + 17.\n2. Substitute l = u + 14 to m, which gives m = u + 31.\n3. Substitute u = z + 18 to m, which gives m = z + 49.\n4. Substitute z = x + 12 to m, which gives m = x + 61.\n5. Substitute x = c + 14 to m, which gives m = c + 75.\n6. Substitute c = 8 to m, which gives m = 83.\n\nThus, the final answer is m = \\boxed{83}.",
"index": 1211,
"question": "Suppose a collection of variables is related by the following definitions: x = c + 14; z = x + 12; k = t + 18; u = z + 18; g = l + 15; v = e + 1; m = g + 2; l = u + 14; e = a + 14; a = c + 3; c = 8; h = k + 13; t = v + 10. Given that c = 8, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"j": "f + 19", "v": "j + 1", "p": "v + 7", "d": "p + 20", "a": "d + 16", "s": "a + 9", "w": "f + 16", "i": "w + 16", "q": "i + 2", "c": "q + 15", "x": "c + 1", "g": "x + 10", "f": 19}, "premises": {"f": 19}, "target": "s"}, "answer": {"steps": [["a", "d + 16", "d + 25"], ["d", "p + 20", "p + 45"], ["p", "v + 7", "v + 52"], ["v", "j + 1", "j + 53"], ["j", "f + 19", "f + 72"], ["f", 19, "91"]], "target_var_name": "s", "target_value": 91, "value_dict": {"f": 19}, "is_reverse": true}}
| 1,212
| 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 = x + 10; q = i + 2; c = q + 15; i = w + 16; j = f + 19; w = f + 16; d = p + 20; a = d + 16; v = j + 1; x = c + 1; p = v + 7; f = 19; s = a + 9. If f = 19, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = d + 16 to s, which gives s = d + 25.\n2. Substitute d = p + 20 to s, which gives s = p + 45.\n3. Substitute p = v + 7 to s, which gives s = v + 52.\n4. Substitute v = j + 1 to s, which gives s = j + 53.\n5. Substitute j = f + 19 to s, which gives s = f + 72.\n6. Substitute f = 19 to s, which gives s = 91.\n\nThus, the final answer is s = \\boxed{91}.",
"index": 1212,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = x + 10; q = i + 2; c = q + 15; i = w + 16; j = f + 19; w = f + 16; d = p + 20; a = d + 16; v = j + 1; x = c + 1; p = v + 7; f = 19; s = a + 9. If f = 19, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"p": "x + 18", "b": "p + 13", "e": "b + 5", "v": "e + 6", "q": "v + 15", "a": "q + 6", "m": "x + 18", "o": "m + 11", "i": "o + 11", "g": "i + 16", "h": "g + 2", "r": "h + 2", "x": 13}, "premises": {"x": 13}, "target": "a"}, "answer": {"steps": [["q", "v + 15", "v + 21"], ["v", "e + 6", "e + 27"], ["e", "b + 5", "b + 32"], ["b", "p + 13", "p + 45"], ["p", "x + 18", "x + 63"], ["x", 13, "76"]], "target_var_name": "a", "target_value": 76, "value_dict": {"x": 13}, "is_reverse": true}}
| 1,213
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = x + 18; v = e + 6; o = m + 11; m = x + 18; a = q + 6; i = o + 11; r = h + 2; q = v + 15; h = g + 2; g = i + 16; e = b + 5; b = p + 13; x = 13. Given that x = 13, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = v + 15 to a, which gives a = v + 21.\n2. Substitute v = e + 6 to a, which gives a = e + 27.\n3. Substitute e = b + 5 to a, which gives a = b + 32.\n4. Substitute b = p + 13 to a, which gives a = p + 45.\n5. Substitute p = x + 18 to a, which gives a = x + 63.\n6. Substitute x = 13 to a, which gives a = 76.\n\nThus, the final answer is a = \\boxed{76}.",
"index": 1213,
"question": "Suppose a collection of variables is related by the following definitions: p = x + 18; v = e + 6; o = m + 11; m = x + 18; a = q + 6; i = o + 11; r = h + 2; q = v + 15; h = g + 2; g = i + 16; e = b + 5; b = p + 13; x = 13. Given that x = 13, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"u": "h + 17", "g": "u + 20", "c": "g + 5", "w": "c + 16", "m": "w + 9", "y": "m + 16", "o": "h + 20", "r": "o + 12", "k": "r + 17", "n": "k + 9", "p": "n + 4", "t": "p + 6", "h": 5}, "premises": {"h": 5}, "target": "y"}, "answer": {"steps": [["m", "w + 9", "w + 25"], ["w", "c + 16", "c + 41"], ["c", "g + 5", "g + 46"], ["g", "u + 20", "u + 66"], ["u", "h + 17", "h + 83"], ["h", 5, "88"]], "target_var_name": "y", "target_value": 88, "value_dict": {"h": 5}, "is_reverse": true}}
| 1,214
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = c + 16; y = m + 16; o = h + 20; h = 5; c = g + 5; r = o + 12; g = u + 20; k = r + 17; m = w + 9; u = h + 17; n = k + 9; p = n + 4; t = p + 6. Given that h = 5, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = w + 9 to y, which gives y = w + 25.\n2. Substitute w = c + 16 to y, which gives y = c + 41.\n3. Substitute c = g + 5 to y, which gives y = g + 46.\n4. Substitute g = u + 20 to y, which gives y = u + 66.\n5. Substitute u = h + 17 to y, which gives y = h + 83.\n6. Substitute h = 5 to y, which gives y = 88.\n\nThus, the final answer is y = \\boxed{88}.",
"index": 1214,
"question": "Suppose a collection of variables is related by the following definitions: w = c + 16; y = m + 16; o = h + 20; h = 5; c = g + 5; r = o + 12; g = u + 20; k = r + 17; m = w + 9; u = h + 17; n = k + 9; p = n + 4; t = p + 6. Given that h = 5, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"n": "j + 2", "h": "n + 13", "m": "h + 18", "g": "m + 5", "k": "g + 15", "c": "k + 12", "e": "j + 5", "d": "e + 16", "x": "d + 10", "l": "x + 10", "y": "l + 4", "w": "y + 18", "j": 4}, "premises": {"j": 4}, "target": "c"}, "answer": {"steps": [["k", "g + 15", "g + 27"], ["g", "m + 5", "m + 32"], ["m", "h + 18", "h + 50"], ["h", "n + 13", "n + 63"], ["n", "j + 2", "j + 65"], ["j", 4, "69"]], "target_var_name": "c", "target_value": 69, "value_dict": {"j": 4}, "is_reverse": true}}
| 1,215
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = g + 15; d = e + 16; l = x + 10; m = h + 18; j = 4; n = j + 2; c = k + 12; x = d + 10; e = j + 5; y = l + 4; w = y + 18; h = n + 13; g = m + 5. If j = 4, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = g + 15 to c, which gives c = g + 27.\n2. Substitute g = m + 5 to c, which gives c = m + 32.\n3. Substitute m = h + 18 to c, which gives c = h + 50.\n4. Substitute h = n + 13 to c, which gives c = n + 63.\n5. Substitute n = j + 2 to c, which gives c = j + 65.\n6. Substitute j = 4 to c, which gives c = 69.\n\nThus, the final answer is c = \\boxed{69}.",
"index": 1215,
"question": "Consider a system of variables where each variable is defined as follows: k = g + 15; d = e + 16; l = x + 10; m = h + 18; j = 4; n = j + 2; c = k + 12; x = d + 10; e = j + 5; y = l + 4; w = y + 18; h = n + 13; g = m + 5. If j = 4, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"p": "o + 1", "y": "p + 6", "n": "y + 4", "f": "n + 6", "w": "f + 16", "i": "w + 3", "h": "o + 20", "x": "h + 13", "k": "x + 17", "g": "k + 17", "t": "g + 2", "z": "t + 13", "o": 18}, "premises": {"o": 18}, "target": "i"}, "answer": {"steps": [["w", "f + 16", "f + 19"], ["f", "n + 6", "n + 25"], ["n", "y + 4", "y + 29"], ["y", "p + 6", "p + 35"], ["p", "o + 1", "o + 36"], ["o", 18, "54"]], "target_var_name": "i", "target_value": 54, "value_dict": {"o": 18}, "is_reverse": true}}
| 1,216
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = p + 6; h = o + 20; i = w + 3; w = f + 16; o = 18; t = g + 2; f = n + 6; z = t + 13; g = k + 17; k = x + 17; p = o + 1; n = y + 4; x = h + 13. Given that o = 18, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = f + 16 to i, which gives i = f + 19.\n2. Substitute f = n + 6 to i, which gives i = n + 25.\n3. Substitute n = y + 4 to i, which gives i = y + 29.\n4. Substitute y = p + 6 to i, which gives i = p + 35.\n5. Substitute p = o + 1 to i, which gives i = o + 36.\n6. Substitute o = 18 to i, which gives i = 54.\n\nThus, the final answer is i = \\boxed{54}.",
"index": 1216,
"question": "Suppose a collection of variables is related by the following definitions: y = p + 6; h = o + 20; i = w + 3; w = f + 16; o = 18; t = g + 2; f = n + 6; z = t + 13; g = k + 17; k = x + 17; p = o + 1; n = y + 4; x = h + 13. Given that o = 18, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"u": "d + 17", "l": "u + 17", "t": "l + 8", "f": "t + 1", "o": "f + 2", "b": "o + 14", "w": "d + 19", "c": "w + 12", "x": "c + 5", "j": "x + 16", "z": "j + 1", "g": "z + 14", "d": 14}, "premises": {"d": 14}, "target": "b"}, "answer": {"steps": [["o", "f + 2", "f + 16"], ["f", "t + 1", "t + 17"], ["t", "l + 8", "l + 25"], ["l", "u + 17", "u + 42"], ["u", "d + 17", "d + 59"], ["d", 14, "73"]], "target_var_name": "b", "target_value": 73, "value_dict": {"d": 14}, "is_reverse": true}}
| 1,217
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = o + 14; t = l + 8; f = t + 1; w = d + 19; u = d + 17; o = f + 2; c = w + 12; g = z + 14; d = 14; x = c + 5; j = x + 16; z = j + 1; l = u + 17. If d = 14, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = f + 2 to b, which gives b = f + 16.\n2. Substitute f = t + 1 to b, which gives b = t + 17.\n3. Substitute t = l + 8 to b, which gives b = l + 25.\n4. Substitute l = u + 17 to b, which gives b = u + 42.\n5. Substitute u = d + 17 to b, which gives b = d + 59.\n6. Substitute d = 14 to b, which gives b = 73.\n\nThus, the final answer is b = \\boxed{73}.",
"index": 1217,
"question": "Consider a system of variables where each variable is defined as follows: b = o + 14; t = l + 8; f = t + 1; w = d + 19; u = d + 17; o = f + 2; c = w + 12; g = z + 14; d = 14; x = c + 5; j = x + 16; z = j + 1; l = u + 17. If d = 14, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"d": "i + 6", "o": "d + 2", "t": "o + 14", "h": "t + 13", "w": "h + 4", "j": "w + 20", "c": "i + 2", "f": "c + 15", "m": "f + 15", "k": "m + 14", "q": "k + 17", "s": "q + 12", "i": 4}, "premises": {"i": 4}, "target": "j"}, "answer": {"steps": [["w", "h + 4", "h + 24"], ["h", "t + 13", "t + 37"], ["t", "o + 14", "o + 51"], ["o", "d + 2", "d + 53"], ["d", "i + 6", "i + 59"], ["i", 4, "63"]], "target_var_name": "j", "target_value": 63, "value_dict": {"i": 4}, "is_reverse": true}}
| 1,218
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = o + 14; m = f + 15; q = k + 17; s = q + 12; f = c + 15; w = h + 4; c = i + 2; k = m + 14; o = d + 2; j = w + 20; i = 4; h = t + 13; d = i + 6. If i = 4, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = h + 4 to j, which gives j = h + 24.\n2. Substitute h = t + 13 to j, which gives j = t + 37.\n3. Substitute t = o + 14 to j, which gives j = o + 51.\n4. Substitute o = d + 2 to j, which gives j = d + 53.\n5. Substitute d = i + 6 to j, which gives j = i + 59.\n6. Substitute i = 4 to j, which gives j = 63.\n\nThus, the final answer is j = \\boxed{63}.",
"index": 1218,
"question": "Consider a system of variables where each variable is defined as follows: t = o + 14; m = f + 15; q = k + 17; s = q + 12; f = c + 15; w = h + 4; c = i + 2; k = m + 14; o = d + 2; j = w + 20; i = 4; h = t + 13; d = i + 6. If i = 4, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"z": "m + 20", "n": "z + 12", "i": "n + 1", "u": "i + 9", "c": "u + 4", "e": "c + 11", "w": "m + 11", "q": "w + 17", "x": "q + 6", "l": "x + 6", "v": "l + 14", "j": "v + 5", "m": 18}, "premises": {"m": 18}, "target": "e"}, "answer": {"steps": [["c", "u + 4", "u + 15"], ["u", "i + 9", "i + 24"], ["i", "n + 1", "n + 25"], ["n", "z + 12", "z + 37"], ["z", "m + 20", "m + 57"], ["m", 18, "75"]], "target_var_name": "e", "target_value": 75, "value_dict": {"m": 18}, "is_reverse": true}}
| 1,219
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = i + 9; v = l + 14; z = m + 20; n = z + 12; j = v + 5; m = 18; q = w + 17; w = m + 11; x = q + 6; c = u + 4; l = x + 6; e = c + 11; i = n + 1. If m = 18, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = u + 4 to e, which gives e = u + 15.\n2. Substitute u = i + 9 to e, which gives e = i + 24.\n3. Substitute i = n + 1 to e, which gives e = n + 25.\n4. Substitute n = z + 12 to e, which gives e = z + 37.\n5. Substitute z = m + 20 to e, which gives e = m + 57.\n6. Substitute m = 18 to e, which gives e = 75.\n\nThus, the final answer is e = \\boxed{75}.",
"index": 1219,
"question": "Consider a system of variables where each variable is defined as follows: u = i + 9; v = l + 14; z = m + 20; n = z + 12; j = v + 5; m = 18; q = w + 17; w = m + 11; x = q + 6; c = u + 4; l = x + 6; e = c + 11; i = n + 1. If m = 18, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"g": "i + 7", "o": "g + 16", "e": "o + 9", "b": "e + 6", "n": "b + 5", "c": "n + 1", "w": "i + 7", "l": "w + 20", "a": "l + 10", "h": "a + 3", "p": "h + 7", "v": "p + 7", "i": 5}, "premises": {"i": 5}, "target": "c"}, "answer": {"steps": [["n", "b + 5", "b + 6"], ["b", "e + 6", "e + 12"], ["e", "o + 9", "o + 21"], ["o", "g + 16", "g + 37"], ["g", "i + 7", "i + 44"], ["i", 5, "49"]], "target_var_name": "c", "target_value": 49, "value_dict": {"i": 5}, "is_reverse": true}}
| 1,220
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = i + 7; v = p + 7; b = e + 6; g = i + 7; h = a + 3; c = n + 1; e = o + 9; p = h + 7; a = l + 10; l = w + 20; n = b + 5; i = 5; o = g + 16. Given that i = 5, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = b + 5 to c, which gives c = b + 6.\n2. Substitute b = e + 6 to c, which gives c = e + 12.\n3. Substitute e = o + 9 to c, which gives c = o + 21.\n4. Substitute o = g + 16 to c, which gives c = g + 37.\n5. Substitute g = i + 7 to c, which gives c = i + 44.\n6. Substitute i = 5 to c, which gives c = 49.\n\nThus, the final answer is c = \\boxed{49}.",
"index": 1220,
"question": "Suppose a collection of variables is related by the following definitions: w = i + 7; v = p + 7; b = e + 6; g = i + 7; h = a + 3; c = n + 1; e = o + 9; p = h + 7; a = l + 10; l = w + 20; n = b + 5; i = 5; o = g + 16. Given that i = 5, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"w": "i + 18", "s": "w + 19", "n": "s + 20", "e": "n + 18", "x": "e + 9", "h": "x + 11", "u": "i + 16", "o": "u + 5", "a": "o + 5", "j": "a + 10", "r": "j + 14", "c": "r + 8", "i": 6}, "premises": {"i": 6}, "target": "h"}, "answer": {"steps": [["x", "e + 9", "e + 20"], ["e", "n + 18", "n + 38"], ["n", "s + 20", "s + 58"], ["s", "w + 19", "w + 77"], ["w", "i + 18", "i + 95"], ["i", 6, "101"]], "target_var_name": "h", "target_value": 101, "value_dict": {"i": 6}, "is_reverse": true}}
| 1,221
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = i + 18; x = e + 9; h = x + 11; s = w + 19; c = r + 8; r = j + 14; i = 6; j = a + 10; o = u + 5; e = n + 18; u = i + 16; n = s + 20; a = o + 5. If i = 6, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 101,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = e + 9 to h, which gives h = e + 20.\n2. Substitute e = n + 18 to h, which gives h = n + 38.\n3. Substitute n = s + 20 to h, which gives h = s + 58.\n4. Substitute s = w + 19 to h, which gives h = w + 77.\n5. Substitute w = i + 18 to h, which gives h = i + 95.\n6. Substitute i = 6 to h, which gives h = 101.\n\nThus, the final answer is h = \\boxed{101}.",
"index": 1221,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = i + 18; x = e + 9; h = x + 11; s = w + 19; c = r + 8; r = j + 14; i = 6; j = a + 10; o = u + 5; e = n + 18; u = i + 16; n = s + 20; a = o + 5. If i = 6, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"j": "m + 4", "y": "j + 7", "v": "y + 4", "g": "v + 6", "n": "g + 14", "z": "n + 16", "r": "m + 19", "a": "r + 3", "s": "a + 1", "f": "s + 13", "l": "f + 11", "b": "l + 2", "m": 6}, "premises": {"m": 6}, "target": "z"}, "answer": {"steps": [["n", "g + 14", "g + 30"], ["g", "v + 6", "v + 36"], ["v", "y + 4", "y + 40"], ["y", "j + 7", "j + 47"], ["j", "m + 4", "m + 51"], ["m", 6, "57"]], "target_var_name": "z", "target_value": 57, "value_dict": {"m": 6}, "is_reverse": true}}
| 1,222
| 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 = g + 14; b = l + 2; j = m + 4; g = v + 6; m = 6; l = f + 11; s = a + 1; y = j + 7; r = m + 19; a = r + 3; z = n + 16; f = s + 13; v = y + 4. If m = 6, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = g + 14 to z, which gives z = g + 30.\n2. Substitute g = v + 6 to z, which gives z = v + 36.\n3. Substitute v = y + 4 to z, which gives z = y + 40.\n4. Substitute y = j + 7 to z, which gives z = j + 47.\n5. Substitute j = m + 4 to z, which gives z = m + 51.\n6. Substitute m = 6 to z, which gives z = 57.\n\nThus, the final answer is z = \\boxed{57}.",
"index": 1222,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = g + 14; b = l + 2; j = m + 4; g = v + 6; m = 6; l = f + 11; s = a + 1; y = j + 7; r = m + 19; a = r + 3; z = n + 16; f = s + 13; v = y + 4. If m = 6, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"t": "m + 10", "j": "t + 15", "e": "j + 18", "x": "e + 8", "w": "x + 2", "r": "w + 17", "p": "m + 16", "i": "p + 13", "v": "i + 14", "a": "v + 2", "o": "a + 20", "q": "o + 18", "m": 6}, "premises": {"m": 6}, "target": "r"}, "answer": {"steps": [["w", "x + 2", "x + 19"], ["x", "e + 8", "e + 27"], ["e", "j + 18", "j + 45"], ["j", "t + 15", "t + 60"], ["t", "m + 10", "m + 70"], ["m", 6, "76"]], "target_var_name": "r", "target_value": 76, "value_dict": {"m": 6}, "is_reverse": true}}
| 1,223
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = p + 13; j = t + 15; a = v + 2; q = o + 18; t = m + 10; p = m + 16; m = 6; r = w + 17; x = e + 8; e = j + 18; w = x + 2; v = i + 14; o = a + 20. Given that m = 6, 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 w = x + 2 to r, which gives r = x + 19.\n2. Substitute x = e + 8 to r, which gives r = e + 27.\n3. Substitute e = j + 18 to r, which gives r = j + 45.\n4. Substitute j = t + 15 to r, which gives r = t + 60.\n5. Substitute t = m + 10 to r, which gives r = m + 70.\n6. Substitute m = 6 to r, which gives r = 76.\n\nThus, the final answer is r = \\boxed{76}.",
"index": 1223,
"question": "Suppose a collection of variables is related by the following definitions: i = p + 13; j = t + 15; a = v + 2; q = o + 18; t = m + 10; p = m + 16; m = 6; r = w + 17; x = e + 8; e = j + 18; w = x + 2; v = i + 14; o = a + 20. Given that m = 6, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"v": "x + 8", "g": "v + 7", "n": "g + 1", "f": "n + 15", "i": "f + 15", "r": "i + 1", "p": "x + 12", "o": "p + 8", "k": "o + 19", "l": "k + 19", "u": "l + 6", "m": "u + 1", "x": 4}, "premises": {"x": 4}, "target": "r"}, "answer": {"steps": [["i", "f + 15", "f + 16"], ["f", "n + 15", "n + 31"], ["n", "g + 1", "g + 32"], ["g", "v + 7", "v + 39"], ["v", "x + 8", "x + 47"], ["x", 4, "51"]], "target_var_name": "r", "target_value": 51, "value_dict": {"x": 4}, "is_reverse": true}}
| 1,224
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = p + 8; m = u + 1; i = f + 15; v = x + 8; f = n + 15; g = v + 7; n = g + 1; u = l + 6; r = i + 1; l = k + 19; x = 4; k = o + 19; p = x + 12. If x = 4, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = f + 15 to r, which gives r = f + 16.\n2. Substitute f = n + 15 to r, which gives r = n + 31.\n3. Substitute n = g + 1 to r, which gives r = g + 32.\n4. Substitute g = v + 7 to r, which gives r = v + 39.\n5. Substitute v = x + 8 to r, which gives r = x + 47.\n6. Substitute x = 4 to r, which gives r = 51.\n\nThus, the final answer is r = \\boxed{51}.",
"index": 1224,
"question": "Consider a system of variables where each variable is defined as follows: o = p + 8; m = u + 1; i = f + 15; v = x + 8; f = n + 15; g = v + 7; n = g + 1; u = l + 6; r = i + 1; l = k + 19; x = 4; k = o + 19; p = x + 12. If x = 4, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"a": "t + 14", "s": "a + 11", "b": "s + 3", "e": "b + 11", "h": "e + 11", "m": "h + 7", "y": "t + 4", "p": "y + 1", "w": "p + 5", "i": "w + 12", "f": "i + 7", "o": "f + 17", "t": 2}, "premises": {"t": 2}, "target": "m"}, "answer": {"steps": [["h", "e + 11", "e + 18"], ["e", "b + 11", "b + 29"], ["b", "s + 3", "s + 32"], ["s", "a + 11", "a + 43"], ["a", "t + 14", "t + 57"], ["t", 2, "59"]], "target_var_name": "m", "target_value": 59, "value_dict": {"t": 2}, "is_reverse": true}}
| 1,225
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = b + 11; f = i + 7; y = t + 4; a = t + 14; o = f + 17; b = s + 3; i = w + 12; m = h + 7; w = p + 5; p = y + 1; s = a + 11; t = 2; h = e + 11. If t = 2, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = e + 11 to m, which gives m = e + 18.\n2. Substitute e = b + 11 to m, which gives m = b + 29.\n3. Substitute b = s + 3 to m, which gives m = s + 32.\n4. Substitute s = a + 11 to m, which gives m = a + 43.\n5. Substitute a = t + 14 to m, which gives m = t + 57.\n6. Substitute t = 2 to m, which gives m = 59.\n\nThus, the final answer is m = \\boxed{59}.",
"index": 1225,
"question": "Consider a system of variables where each variable is defined as follows: e = b + 11; f = i + 7; y = t + 4; a = t + 14; o = f + 17; b = s + 3; i = w + 12; m = h + 7; w = p + 5; p = y + 1; s = a + 11; t = 2; h = e + 11. If t = 2, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"f": "k + 13", "d": "f + 7", "w": "d + 12", "p": "w + 13", "z": "p + 7", "y": "z + 16", "r": "k + 3", "u": "r + 4", "b": "u + 20", "g": "b + 16", "h": "g + 15", "j": "h + 7", "k": 16}, "premises": {"k": 16}, "target": "y"}, "answer": {"steps": [["z", "p + 7", "p + 23"], ["p", "w + 13", "w + 36"], ["w", "d + 12", "d + 48"], ["d", "f + 7", "f + 55"], ["f", "k + 13", "k + 68"], ["k", 16, "84"]], "target_var_name": "y", "target_value": 84, "value_dict": {"k": 16}, "is_reverse": true}}
| 1,226
| 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 = r + 4; d = f + 7; h = g + 15; g = b + 16; k = 16; f = k + 13; y = z + 16; r = k + 3; w = d + 12; j = h + 7; p = w + 13; b = u + 20; z = p + 7. If k = 16, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = p + 7 to y, which gives y = p + 23.\n2. Substitute p = w + 13 to y, which gives y = w + 36.\n3. Substitute w = d + 12 to y, which gives y = d + 48.\n4. Substitute d = f + 7 to y, which gives y = f + 55.\n5. Substitute f = k + 13 to y, which gives y = k + 68.\n6. Substitute k = 16 to y, which gives y = 84.\n\nThus, the final answer is y = \\boxed{84}.",
"index": 1226,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = r + 4; d = f + 7; h = g + 15; g = b + 16; k = 16; f = k + 13; y = z + 16; r = k + 3; w = d + 12; j = h + 7; p = w + 13; b = u + 20; z = p + 7. If k = 16, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"w": "q + 2", "h": "w + 7", "y": "h + 19", "u": "y + 8", "d": "u + 11", "z": "d + 9", "c": "q + 4", "l": "c + 19", "j": "l + 17", "r": "j + 10", "f": "r + 2", "e": "f + 20", "q": 17}, "premises": {"q": 17}, "target": "z"}, "answer": {"steps": [["d", "u + 11", "u + 20"], ["u", "y + 8", "y + 28"], ["y", "h + 19", "h + 47"], ["h", "w + 7", "w + 54"], ["w", "q + 2", "q + 56"], ["q", 17, "73"]], "target_var_name": "z", "target_value": 73, "value_dict": {"q": 17}, "is_reverse": true}}
| 1,227
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = j + 10; h = w + 7; z = d + 9; f = r + 2; q = 17; y = h + 19; d = u + 11; u = y + 8; c = q + 4; e = f + 20; w = q + 2; j = l + 17; l = c + 19. If q = 17, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = u + 11 to z, which gives z = u + 20.\n2. Substitute u = y + 8 to z, which gives z = y + 28.\n3. Substitute y = h + 19 to z, which gives z = h + 47.\n4. Substitute h = w + 7 to z, which gives z = w + 54.\n5. Substitute w = q + 2 to z, which gives z = q + 56.\n6. Substitute q = 17 to z, which gives z = 73.\n\nThus, the final answer is z = \\boxed{73}.",
"index": 1227,
"question": "Consider a system of variables where each variable is defined as follows: r = j + 10; h = w + 7; z = d + 9; f = r + 2; q = 17; y = h + 19; d = u + 11; u = y + 8; c = q + 4; e = f + 20; w = q + 2; j = l + 17; l = c + 19. If q = 17, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"a": "f + 16", "q": "a + 17", "u": "q + 19", "i": "u + 11", "l": "i + 14", "x": "l + 3", "b": "f + 18", "t": "b + 19", "j": "t + 11", "k": "j + 4", "e": "k + 14", "o": "e + 20", "f": 2}, "premises": {"f": 2}, "target": "x"}, "answer": {"steps": [["l", "i + 14", "i + 17"], ["i", "u + 11", "u + 28"], ["u", "q + 19", "q + 47"], ["q", "a + 17", "a + 64"], ["a", "f + 16", "f + 80"], ["f", 2, "82"]], "target_var_name": "x", "target_value": 82, "value_dict": {"f": 2}, "is_reverse": true}}
| 1,228
| 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 = q + 19; i = u + 11; o = e + 20; j = t + 11; b = f + 18; l = i + 14; a = f + 16; x = l + 3; k = j + 4; q = a + 17; e = k + 14; t = b + 19; f = 2. If f = 2, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = i + 14 to x, which gives x = i + 17.\n2. Substitute i = u + 11 to x, which gives x = u + 28.\n3. Substitute u = q + 19 to x, which gives x = q + 47.\n4. Substitute q = a + 17 to x, which gives x = a + 64.\n5. Substitute a = f + 16 to x, which gives x = f + 80.\n6. Substitute f = 2 to x, which gives x = 82.\n\nThus, the final answer is x = \\boxed{82}.",
"index": 1228,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = q + 19; i = u + 11; o = e + 20; j = t + 11; b = f + 18; l = i + 14; a = f + 16; x = l + 3; k = j + 4; q = a + 17; e = k + 14; t = b + 19; f = 2. If f = 2, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"g": "y + 12", "b": "g + 11", "q": "b + 5", "x": "q + 7", "c": "x + 4", "s": "c + 2", "z": "y + 10", "a": "z + 1", "i": "a + 1", "h": "i + 5", "l": "h + 1", "j": "l + 2", "y": 16}, "premises": {"y": 16}, "target": "s"}, "answer": {"steps": [["c", "x + 4", "x + 6"], ["x", "q + 7", "q + 13"], ["q", "b + 5", "b + 18"], ["b", "g + 11", "g + 29"], ["g", "y + 12", "y + 41"], ["y", 16, "57"]], "target_var_name": "s", "target_value": 57, "value_dict": {"y": 16}, "is_reverse": true}}
| 1,229
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = h + 1; q = b + 5; i = a + 1; z = y + 10; j = l + 2; y = 16; g = y + 12; h = i + 5; x = q + 7; b = g + 11; a = z + 1; s = c + 2; c = x + 4. If y = 16, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = x + 4 to s, which gives s = x + 6.\n2. Substitute x = q + 7 to s, which gives s = q + 13.\n3. Substitute q = b + 5 to s, which gives s = b + 18.\n4. Substitute b = g + 11 to s, which gives s = g + 29.\n5. Substitute g = y + 12 to s, which gives s = y + 41.\n6. Substitute y = 16 to s, which gives s = 57.\n\nThus, the final answer is s = \\boxed{57}.",
"index": 1229,
"question": "Consider a system of variables where each variable is defined as follows: l = h + 1; q = b + 5; i = a + 1; z = y + 10; j = l + 2; y = 16; g = y + 12; h = i + 5; x = q + 7; b = g + 11; a = z + 1; s = c + 2; c = x + 4. If y = 16, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"g": "e + 6", "n": "g + 14", "m": "n + 2", "t": "m + 8", "u": "t + 18", "d": "u + 14", "p": "e + 3", "z": "p + 15", "s": "z + 6", "x": "s + 19", "v": "x + 14", "o": "v + 9", "e": 13}, "premises": {"e": 13}, "target": "d"}, "answer": {"steps": [["u", "t + 18", "t + 32"], ["t", "m + 8", "m + 40"], ["m", "n + 2", "n + 42"], ["n", "g + 14", "g + 56"], ["g", "e + 6", "e + 62"], ["e", 13, "75"]], "target_var_name": "d", "target_value": 75, "value_dict": {"e": 13}, "is_reverse": true}}
| 1,230
| 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 = u + 14; g = e + 6; u = t + 18; o = v + 9; x = s + 19; v = x + 14; n = g + 14; e = 13; s = z + 6; p = e + 3; z = p + 15; t = m + 8; m = n + 2. If e = 13, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = t + 18 to d, which gives d = t + 32.\n2. Substitute t = m + 8 to d, which gives d = m + 40.\n3. Substitute m = n + 2 to d, which gives d = n + 42.\n4. Substitute n = g + 14 to d, which gives d = g + 56.\n5. Substitute g = e + 6 to d, which gives d = e + 62.\n6. Substitute e = 13 to d, which gives d = 75.\n\nThus, the final answer is d = \\boxed{75}.",
"index": 1230,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = u + 14; g = e + 6; u = t + 18; o = v + 9; x = s + 19; v = x + 14; n = g + 14; e = 13; s = z + 6; p = e + 3; z = p + 15; t = m + 8; m = n + 2. If e = 13, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"y": "m + 20", "a": "y + 5", "o": "a + 8", "i": "o + 11", "f": "i + 18", "p": "f + 5", "v": "m + 14", "z": "v + 12", "h": "z + 8", "q": "h + 1", "x": "q + 5", "k": "x + 16", "m": 8}, "premises": {"m": 8}, "target": "p"}, "answer": {"steps": [["f", "i + 18", "i + 23"], ["i", "o + 11", "o + 34"], ["o", "a + 8", "a + 42"], ["a", "y + 5", "y + 47"], ["y", "m + 20", "m + 67"], ["m", 8, "75"]], "target_var_name": "p", "target_value": 75, "value_dict": {"m": 8}, "is_reverse": true}}
| 1,231
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = f + 5; m = 8; o = a + 8; h = z + 8; z = v + 12; a = y + 5; x = q + 5; f = i + 18; i = o + 11; k = x + 16; y = m + 20; q = h + 1; v = m + 14. Given that m = 8, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = i + 18 to p, which gives p = i + 23.\n2. Substitute i = o + 11 to p, which gives p = o + 34.\n3. Substitute o = a + 8 to p, which gives p = a + 42.\n4. Substitute a = y + 5 to p, which gives p = y + 47.\n5. Substitute y = m + 20 to p, which gives p = m + 67.\n6. Substitute m = 8 to p, which gives p = 75.\n\nThus, the final answer is p = \\boxed{75}.",
"index": 1231,
"question": "Suppose a collection of variables is related by the following definitions: p = f + 5; m = 8; o = a + 8; h = z + 8; z = v + 12; a = y + 5; x = q + 5; f = i + 18; i = o + 11; k = x + 16; y = m + 20; q = h + 1; v = m + 14. Given that m = 8, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"k": "v + 17", "d": "k + 20", "u": "d + 19", "g": "u + 10", "n": "g + 3", "o": "n + 5", "p": "v + 15", "m": "p + 18", "f": "m + 18", "x": "f + 5", "h": "x + 16", "s": "h + 12", "v": 7}, "premises": {"v": 7}, "target": "o"}, "answer": {"steps": [["n", "g + 3", "g + 8"], ["g", "u + 10", "u + 18"], ["u", "d + 19", "d + 37"], ["d", "k + 20", "k + 57"], ["k", "v + 17", "v + 74"], ["v", 7, "81"]], "target_var_name": "o", "target_value": 81, "value_dict": {"v": 7}, "is_reverse": true}}
| 1,232
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = f + 5; k = v + 17; p = v + 15; n = g + 3; o = n + 5; u = d + 19; g = u + 10; f = m + 18; d = k + 20; h = x + 16; v = 7; s = h + 12; m = p + 18. Given that v = 7, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = g + 3 to o, which gives o = g + 8.\n2. Substitute g = u + 10 to o, which gives o = u + 18.\n3. Substitute u = d + 19 to o, which gives o = d + 37.\n4. Substitute d = k + 20 to o, which gives o = k + 57.\n5. Substitute k = v + 17 to o, which gives o = v + 74.\n6. Substitute v = 7 to o, which gives o = 81.\n\nThus, the final answer is o = \\boxed{81}.",
"index": 1232,
"question": "Suppose a collection of variables is related by the following definitions: x = f + 5; k = v + 17; p = v + 15; n = g + 3; o = n + 5; u = d + 19; g = u + 10; f = m + 18; d = k + 20; h = x + 16; v = 7; s = h + 12; m = p + 18. Given that v = 7, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"n": "t + 4", "v": "n + 5", "o": "v + 19", "b": "o + 2", "z": "b + 9", "l": "z + 12", "f": "t + 13", "s": "f + 7", "j": "s + 17", "k": "j + 2", "a": "k + 19", "u": "a + 2", "t": 18}, "premises": {"t": 18}, "target": "l"}, "answer": {"steps": [["z", "b + 9", "b + 21"], ["b", "o + 2", "o + 23"], ["o", "v + 19", "v + 42"], ["v", "n + 5", "n + 47"], ["n", "t + 4", "t + 51"], ["t", 18, "69"]], "target_var_name": "l", "target_value": 69, "value_dict": {"t": 18}, "is_reverse": true}}
| 1,233
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = f + 7; t = 18; l = z + 12; k = j + 2; n = t + 4; a = k + 19; b = o + 2; f = t + 13; o = v + 19; j = s + 17; v = n + 5; u = a + 2; z = b + 9. If t = 18, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = b + 9 to l, which gives l = b + 21.\n2. Substitute b = o + 2 to l, which gives l = o + 23.\n3. Substitute o = v + 19 to l, which gives l = v + 42.\n4. Substitute v = n + 5 to l, which gives l = n + 47.\n5. Substitute n = t + 4 to l, which gives l = t + 51.\n6. Substitute t = 18 to l, which gives l = 69.\n\nThus, the final answer is l = \\boxed{69}.",
"index": 1233,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = f + 7; t = 18; l = z + 12; k = j + 2; n = t + 4; a = k + 19; b = o + 2; f = t + 13; o = v + 19; j = s + 17; v = n + 5; u = a + 2; z = b + 9. If t = 18, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"e": "j + 19", "u": "e + 3", "q": "u + 11", "n": "q + 8", "p": "n + 16", "l": "p + 16", "b": "j + 1", "s": "b + 8", "z": "s + 9", "v": "z + 14", "r": "v + 14", "o": "r + 8", "j": 2}, "premises": {"j": 2}, "target": "l"}, "answer": {"steps": [["p", "n + 16", "n + 32"], ["n", "q + 8", "q + 40"], ["q", "u + 11", "u + 51"], ["u", "e + 3", "e + 54"], ["e", "j + 19", "j + 73"], ["j", 2, "75"]], "target_var_name": "l", "target_value": 75, "value_dict": {"j": 2}, "is_reverse": true}}
| 1,234
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = b + 8; j = 2; e = j + 19; q = u + 11; u = e + 3; r = v + 14; v = z + 14; z = s + 9; b = j + 1; l = p + 16; o = r + 8; n = q + 8; p = n + 16. If j = 2, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = n + 16 to l, which gives l = n + 32.\n2. Substitute n = q + 8 to l, which gives l = q + 40.\n3. Substitute q = u + 11 to l, which gives l = u + 51.\n4. Substitute u = e + 3 to l, which gives l = e + 54.\n5. Substitute e = j + 19 to l, which gives l = j + 73.\n6. Substitute j = 2 to l, which gives l = 75.\n\nThus, the final answer is l = \\boxed{75}.",
"index": 1234,
"question": "Consider a system of variables where each variable is defined as follows: s = b + 8; j = 2; e = j + 19; q = u + 11; u = e + 3; r = v + 14; v = z + 14; z = s + 9; b = j + 1; l = p + 16; o = r + 8; n = q + 8; p = n + 16. If j = 2, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"a": "t + 12", "p": "a + 19", "d": "p + 19", "w": "d + 7", "h": "w + 9", "r": "h + 11", "f": "t + 19", "l": "f + 1", "z": "l + 4", "n": "z + 5", "e": "n + 3", "i": "e + 13", "t": 4}, "premises": {"t": 4}, "target": "r"}, "answer": {"steps": [["h", "w + 9", "w + 20"], ["w", "d + 7", "d + 27"], ["d", "p + 19", "p + 46"], ["p", "a + 19", "a + 65"], ["a", "t + 12", "t + 77"], ["t", 4, "81"]], "target_var_name": "r", "target_value": 81, "value_dict": {"t": 4}, "is_reverse": true}}
| 1,235
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = l + 4; h = w + 9; p = a + 19; l = f + 1; r = h + 11; n = z + 5; a = t + 12; e = n + 3; i = e + 13; t = 4; f = t + 19; w = d + 7; d = p + 19. If t = 4, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = w + 9 to r, which gives r = w + 20.\n2. Substitute w = d + 7 to r, which gives r = d + 27.\n3. Substitute d = p + 19 to r, which gives r = p + 46.\n4. Substitute p = a + 19 to r, which gives r = a + 65.\n5. Substitute a = t + 12 to r, which gives r = t + 77.\n6. Substitute t = 4 to r, which gives r = 81.\n\nThus, the final answer is r = \\boxed{81}.",
"index": 1235,
"question": "Consider a system of variables where each variable is defined as follows: z = l + 4; h = w + 9; p = a + 19; l = f + 1; r = h + 11; n = z + 5; a = t + 12; e = n + 3; i = e + 13; t = 4; f = t + 19; w = d + 7; d = p + 19. If t = 4, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"t": "c + 20", "r": "t + 6", "l": "r + 9", "y": "l + 4", "v": "y + 1", "b": "v + 4", "u": "c + 5", "q": "u + 16", "h": "q + 9", "d": "h + 9", "g": "d + 2", "o": "g + 16", "c": 5}, "premises": {"c": 5}, "target": "b"}, "answer": {"steps": [["v", "y + 1", "y + 5"], ["y", "l + 4", "l + 9"], ["l", "r + 9", "r + 18"], ["r", "t + 6", "t + 24"], ["t", "c + 20", "c + 44"], ["c", 5, "49"]], "target_var_name": "b", "target_value": 49, "value_dict": {"c": 5}, "is_reverse": true}}
| 1,236
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = r + 9; u = c + 5; g = d + 2; o = g + 16; y = l + 4; h = q + 9; q = u + 16; b = v + 4; d = h + 9; t = c + 20; c = 5; r = t + 6; v = y + 1. Given that c = 5, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = y + 1 to b, which gives b = y + 5.\n2. Substitute y = l + 4 to b, which gives b = l + 9.\n3. Substitute l = r + 9 to b, which gives b = r + 18.\n4. Substitute r = t + 6 to b, which gives b = t + 24.\n5. Substitute t = c + 20 to b, which gives b = c + 44.\n6. Substitute c = 5 to b, which gives b = 49.\n\nThus, the final answer is b = \\boxed{49}.",
"index": 1236,
"question": "Suppose a collection of variables is related by the following definitions: l = r + 9; u = c + 5; g = d + 2; o = g + 16; y = l + 4; h = q + 9; q = u + 16; b = v + 4; d = h + 9; t = c + 20; c = 5; r = t + 6; v = y + 1. Given that c = 5, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"p": "j + 3", "l": "p + 6", "h": "l + 17", "u": "h + 8", "o": "u + 18", "m": "o + 1", "f": "j + 7", "a": "f + 17", "c": "a + 14", "w": "c + 3", "v": "w + 6", "s": "v + 7", "j": 2}, "premises": {"j": 2}, "target": "m"}, "answer": {"steps": [["o", "u + 18", "u + 19"], ["u", "h + 8", "h + 27"], ["h", "l + 17", "l + 44"], ["l", "p + 6", "p + 50"], ["p", "j + 3", "j + 53"], ["j", 2, "55"]], "target_var_name": "m", "target_value": 55, "value_dict": {"j": 2}, "is_reverse": true}}
| 1,237
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = 2; a = f + 17; s = v + 7; f = j + 7; v = w + 6; w = c + 3; o = u + 18; h = l + 17; u = h + 8; l = p + 6; m = o + 1; c = a + 14; p = j + 3. If j = 2, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = u + 18 to m, which gives m = u + 19.\n2. Substitute u = h + 8 to m, which gives m = h + 27.\n3. Substitute h = l + 17 to m, which gives m = l + 44.\n4. Substitute l = p + 6 to m, which gives m = p + 50.\n5. Substitute p = j + 3 to m, which gives m = j + 53.\n6. Substitute j = 2 to m, which gives m = 55.\n\nThus, the final answer is m = \\boxed{55}.",
"index": 1237,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = 2; a = f + 17; s = v + 7; f = j + 7; v = w + 6; w = c + 3; o = u + 18; h = l + 17; u = h + 8; l = p + 6; m = o + 1; c = a + 14; p = j + 3. If j = 2, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"j": "k + 18", "h": "j + 20", "l": "h + 5", "g": "l + 5", "q": "g + 10", "a": "q + 4", "v": "k + 18", "r": "v + 8", "b": "r + 11", "n": "b + 7", "m": "n + 18", "u": "m + 12", "k": 9}, "premises": {"k": 9}, "target": "a"}, "answer": {"steps": [["q", "g + 10", "g + 14"], ["g", "l + 5", "l + 19"], ["l", "h + 5", "h + 24"], ["h", "j + 20", "j + 44"], ["j", "k + 18", "k + 62"], ["k", 9, "71"]], "target_var_name": "a", "target_value": 71, "value_dict": {"k": 9}, "is_reverse": true}}
| 1,238
| 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 = m + 12; a = q + 4; r = v + 8; n = b + 7; k = 9; m = n + 18; j = k + 18; q = g + 10; l = h + 5; g = l + 5; h = j + 20; v = k + 18; b = r + 11. If k = 9, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = g + 10 to a, which gives a = g + 14.\n2. Substitute g = l + 5 to a, which gives a = l + 19.\n3. Substitute l = h + 5 to a, which gives a = h + 24.\n4. Substitute h = j + 20 to a, which gives a = j + 44.\n5. Substitute j = k + 18 to a, which gives a = k + 62.\n6. Substitute k = 9 to a, which gives a = 71.\n\nThus, the final answer is a = \\boxed{71}.",
"index": 1238,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = m + 12; a = q + 4; r = v + 8; n = b + 7; k = 9; m = n + 18; j = k + 18; q = g + 10; l = h + 5; g = l + 5; h = j + 20; v = k + 18; b = r + 11. If k = 9, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"c": "n + 19", "b": "c + 17", "i": "b + 14", "x": "i + 11", "v": "x + 1", "d": "v + 11", "o": "n + 7", "q": "o + 7", "t": "q + 6", "p": "t + 5", "h": "p + 3", "g": "h + 20", "n": 20}, "premises": {"n": 20}, "target": "d"}, "answer": {"steps": [["v", "x + 1", "x + 12"], ["x", "i + 11", "i + 23"], ["i", "b + 14", "b + 37"], ["b", "c + 17", "c + 54"], ["c", "n + 19", "n + 73"], ["n", 20, "93"]], "target_var_name": "d", "target_value": 93, "value_dict": {"n": 20}, "is_reverse": true}}
| 1,239
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = q + 6; b = c + 17; h = p + 3; i = b + 14; n = 20; d = v + 11; c = n + 19; p = t + 5; o = n + 7; x = i + 11; v = x + 1; g = h + 20; q = o + 7. Given that n = 20, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = x + 1 to d, which gives d = x + 12.\n2. Substitute x = i + 11 to d, which gives d = i + 23.\n3. Substitute i = b + 14 to d, which gives d = b + 37.\n4. Substitute b = c + 17 to d, which gives d = c + 54.\n5. Substitute c = n + 19 to d, which gives d = n + 73.\n6. Substitute n = 20 to d, which gives d = 93.\n\nThus, the final answer is d = \\boxed{93}.",
"index": 1239,
"question": "Suppose a collection of variables is related by the following definitions: t = q + 6; b = c + 17; h = p + 3; i = b + 14; n = 20; d = v + 11; c = n + 19; p = t + 5; o = n + 7; x = i + 11; v = x + 1; g = h + 20; q = o + 7. Given that n = 20, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"b": "x + 4", "a": "b + 9", "n": "a + 17", "u": "n + 4", "k": "u + 16", "f": "k + 19", "i": "x + 15", "v": "i + 9", "r": "v + 8", "q": "r + 15", "w": "q + 6", "m": "w + 7", "x": 3}, "premises": {"x": 3}, "target": "f"}, "answer": {"steps": [["k", "u + 16", "u + 35"], ["u", "n + 4", "n + 39"], ["n", "a + 17", "a + 56"], ["a", "b + 9", "b + 65"], ["b", "x + 4", "x + 69"], ["x", 3, "72"]], "target_var_name": "f", "target_value": 72, "value_dict": {"x": 3}, "is_reverse": true}}
| 1,240
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = a + 17; q = r + 15; b = x + 4; i = x + 15; m = w + 7; k = u + 16; u = n + 4; a = b + 9; f = k + 19; w = q + 6; x = 3; v = i + 9; r = v + 8. If x = 3, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = u + 16 to f, which gives f = u + 35.\n2. Substitute u = n + 4 to f, which gives f = n + 39.\n3. Substitute n = a + 17 to f, which gives f = a + 56.\n4. Substitute a = b + 9 to f, which gives f = b + 65.\n5. Substitute b = x + 4 to f, which gives f = x + 69.\n6. Substitute x = 3 to f, which gives f = 72.\n\nThus, the final answer is f = \\boxed{72}.",
"index": 1240,
"question": "Consider a system of variables where each variable is defined as follows: n = a + 17; q = r + 15; b = x + 4; i = x + 15; m = w + 7; k = u + 16; u = n + 4; a = b + 9; f = k + 19; w = q + 6; x = 3; v = i + 9; r = v + 8. If x = 3, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"f": "o + 3", "k": "f + 10", "w": "k + 6", "j": "w + 6", "t": "j + 11", "n": "t + 4", "z": "o + 8", "a": "z + 20", "y": "a + 11", "h": "y + 8", "i": "h + 15", "x": "i + 8", "o": 9}, "premises": {"o": 9}, "target": "n"}, "answer": {"steps": [["t", "j + 11", "j + 15"], ["j", "w + 6", "w + 21"], ["w", "k + 6", "k + 27"], ["k", "f + 10", "f + 37"], ["f", "o + 3", "o + 40"], ["o", 9, "49"]], "target_var_name": "n", "target_value": 49, "value_dict": {"o": 9}, "is_reverse": true}}
| 1,241
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = i + 8; k = f + 10; z = o + 8; i = h + 15; f = o + 3; y = a + 11; j = w + 6; h = y + 8; o = 9; t = j + 11; a = z + 20; n = t + 4; w = k + 6. If o = 9, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = j + 11 to n, which gives n = j + 15.\n2. Substitute j = w + 6 to n, which gives n = w + 21.\n3. Substitute w = k + 6 to n, which gives n = k + 27.\n4. Substitute k = f + 10 to n, which gives n = f + 37.\n5. Substitute f = o + 3 to n, which gives n = o + 40.\n6. Substitute o = 9 to n, which gives n = 49.\n\nThus, the final answer is n = \\boxed{49}.",
"index": 1241,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = i + 8; k = f + 10; z = o + 8; i = h + 15; f = o + 3; y = a + 11; j = w + 6; h = y + 8; o = 9; t = j + 11; a = z + 20; n = t + 4; w = k + 6. If o = 9, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"s": "w + 11", "n": "s + 2", "v": "n + 13", "k": "v + 12", "y": "k + 13", "g": "y + 9", "i": "w + 15", "c": "i + 16", "p": "c + 12", "u": "p + 2", "t": "u + 17", "b": "t + 8", "w": 12}, "premises": {"w": 12}, "target": "g"}, "answer": {"steps": [["y", "k + 13", "k + 22"], ["k", "v + 12", "v + 34"], ["v", "n + 13", "n + 47"], ["n", "s + 2", "s + 49"], ["s", "w + 11", "w + 60"], ["w", 12, "72"]], "target_var_name": "g", "target_value": 72, "value_dict": {"w": 12}, "is_reverse": true}}
| 1,242
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = w + 11; n = s + 2; b = t + 8; u = p + 2; k = v + 12; i = w + 15; w = 12; y = k + 13; t = u + 17; p = c + 12; c = i + 16; g = y + 9; v = n + 13. If w = 12, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = k + 13 to g, which gives g = k + 22.\n2. Substitute k = v + 12 to g, which gives g = v + 34.\n3. Substitute v = n + 13 to g, which gives g = n + 47.\n4. Substitute n = s + 2 to g, which gives g = s + 49.\n5. Substitute s = w + 11 to g, which gives g = w + 60.\n6. Substitute w = 12 to g, which gives g = 72.\n\nThus, the final answer is g = \\boxed{72}.",
"index": 1242,
"question": "Consider a system of variables where each variable is defined as follows: s = w + 11; n = s + 2; b = t + 8; u = p + 2; k = v + 12; i = w + 15; w = 12; y = k + 13; t = u + 17; p = c + 12; c = i + 16; g = y + 9; v = n + 13. If w = 12, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"v": "j + 14", "g": "v + 17", "p": "g + 4", "l": "p + 20", "h": "l + 16", "u": "h + 5", "d": "j + 17", "s": "d + 9", "b": "s + 6", "y": "b + 12", "a": "y + 10", "t": "a + 12", "j": 17}, "premises": {"j": 17}, "target": "u"}, "answer": {"steps": [["h", "l + 16", "l + 21"], ["l", "p + 20", "p + 41"], ["p", "g + 4", "g + 45"], ["g", "v + 17", "v + 62"], ["v", "j + 14", "j + 76"], ["j", 17, "93"]], "target_var_name": "u", "target_value": 93, "value_dict": {"j": 17}, "is_reverse": true}}
| 1,243
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = s + 6; h = l + 16; d = j + 17; t = a + 12; y = b + 12; v = j + 14; u = h + 5; p = g + 4; j = 17; g = v + 17; l = p + 20; a = y + 10; s = d + 9. Given that j = 17, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = l + 16 to u, which gives u = l + 21.\n2. Substitute l = p + 20 to u, which gives u = p + 41.\n3. Substitute p = g + 4 to u, which gives u = g + 45.\n4. Substitute g = v + 17 to u, which gives u = v + 62.\n5. Substitute v = j + 14 to u, which gives u = j + 76.\n6. Substitute j = 17 to u, which gives u = 93.\n\nThus, the final answer is u = \\boxed{93}.",
"index": 1243,
"question": "Suppose a collection of variables is related by the following definitions: b = s + 6; h = l + 16; d = j + 17; t = a + 12; y = b + 12; v = j + 14; u = h + 5; p = g + 4; j = 17; g = v + 17; l = p + 20; a = y + 10; s = d + 9. Given that j = 17, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"o": "a + 10", "m": "o + 5", "z": "m + 14", "q": "z + 15", "t": "q + 16", "e": "t + 17", "k": "a + 5", "h": "k + 5", "i": "h + 2", "s": "i + 1", "p": "s + 19", "l": "p + 6", "a": 16}, "premises": {"a": 16}, "target": "e"}, "answer": {"steps": [["t", "q + 16", "q + 33"], ["q", "z + 15", "z + 48"], ["z", "m + 14", "m + 62"], ["m", "o + 5", "o + 67"], ["o", "a + 10", "a + 77"], ["a", 16, "93"]], "target_var_name": "e", "target_value": 93, "value_dict": {"a": 16}, "is_reverse": true}}
| 1,244
| 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 = h + 2; t = q + 16; h = k + 5; k = a + 5; p = s + 19; m = o + 5; q = z + 15; z = m + 14; l = p + 6; a = 16; o = a + 10; s = i + 1; e = t + 17. If a = 16, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = q + 16 to e, which gives e = q + 33.\n2. Substitute q = z + 15 to e, which gives e = z + 48.\n3. Substitute z = m + 14 to e, which gives e = m + 62.\n4. Substitute m = o + 5 to e, which gives e = o + 67.\n5. Substitute o = a + 10 to e, which gives e = a + 77.\n6. Substitute a = 16 to e, which gives e = 93.\n\nThus, the final answer is e = \\boxed{93}.",
"index": 1244,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = h + 2; t = q + 16; h = k + 5; k = a + 5; p = s + 19; m = o + 5; q = z + 15; z = m + 14; l = p + 6; a = 16; o = a + 10; s = i + 1; e = t + 17. If a = 16, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"d": "p + 5", "m": "d + 13", "u": "m + 6", "c": "u + 10", "q": "c + 2", "e": "q + 18", "n": "p + 18", "f": "n + 11", "k": "f + 4", "a": "k + 1", "z": "a + 4", "s": "z + 14", "p": 11}, "premises": {"p": 11}, "target": "e"}, "answer": {"steps": [["q", "c + 2", "c + 20"], ["c", "u + 10", "u + 30"], ["u", "m + 6", "m + 36"], ["m", "d + 13", "d + 49"], ["d", "p + 5", "p + 54"], ["p", 11, "65"]], "target_var_name": "e", "target_value": 65, "value_dict": {"p": 11}, "is_reverse": true}}
| 1,245
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = a + 4; f = n + 11; k = f + 4; q = c + 2; d = p + 5; m = d + 13; e = q + 18; n = p + 18; a = k + 1; p = 11; u = m + 6; c = u + 10; s = z + 14. If p = 11, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = c + 2 to e, which gives e = c + 20.\n2. Substitute c = u + 10 to e, which gives e = u + 30.\n3. Substitute u = m + 6 to e, which gives e = m + 36.\n4. Substitute m = d + 13 to e, which gives e = d + 49.\n5. Substitute d = p + 5 to e, which gives e = p + 54.\n6. Substitute p = 11 to e, which gives e = 65.\n\nThus, the final answer is e = \\boxed{65}.",
"index": 1245,
"question": "Consider a system of variables where each variable is defined as follows: z = a + 4; f = n + 11; k = f + 4; q = c + 2; d = p + 5; m = d + 13; e = q + 18; n = p + 18; a = k + 1; p = 11; u = m + 6; c = u + 10; s = z + 14. If p = 11, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"x": "j + 4", "z": "x + 2", "k": "z + 11", "g": "k + 9", "q": "g + 10", "o": "q + 18", "d": "j + 12", "f": "d + 14", "b": "f + 16", "y": "b + 13", "n": "y + 5", "i": "n + 15", "j": 13}, "premises": {"j": 13}, "target": "o"}, "answer": {"steps": [["q", "g + 10", "g + 28"], ["g", "k + 9", "k + 37"], ["k", "z + 11", "z + 48"], ["z", "x + 2", "x + 50"], ["x", "j + 4", "j + 54"], ["j", 13, "67"]], "target_var_name": "o", "target_value": 67, "value_dict": {"j": 13}, "is_reverse": true}}
| 1,246
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = k + 9; o = q + 18; z = x + 2; b = f + 16; y = b + 13; q = g + 10; i = n + 15; k = z + 11; d = j + 12; f = d + 14; j = 13; n = y + 5; x = j + 4. If j = 13, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = g + 10 to o, which gives o = g + 28.\n2. Substitute g = k + 9 to o, which gives o = k + 37.\n3. Substitute k = z + 11 to o, which gives o = z + 48.\n4. Substitute z = x + 2 to o, which gives o = x + 50.\n5. Substitute x = j + 4 to o, which gives o = j + 54.\n6. Substitute j = 13 to o, which gives o = 67.\n\nThus, the final answer is o = \\boxed{67}.",
"index": 1246,
"question": "Consider a system of variables where each variable is defined as follows: g = k + 9; o = q + 18; z = x + 2; b = f + 16; y = b + 13; q = g + 10; i = n + 15; k = z + 11; d = j + 12; f = d + 14; j = 13; n = y + 5; x = j + 4. If j = 13, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"y": "q + 3", "i": "y + 14", "u": "i + 7", "a": "u + 12", "s": "a + 20", "p": "s + 8", "o": "q + 18", "e": "o + 3", "r": "e + 20", "c": "r + 19", "z": "c + 18", "g": "z + 4", "q": 8}, "premises": {"q": 8}, "target": "p"}, "answer": {"steps": [["s", "a + 20", "a + 28"], ["a", "u + 12", "u + 40"], ["u", "i + 7", "i + 47"], ["i", "y + 14", "y + 61"], ["y", "q + 3", "q + 64"], ["q", 8, "72"]], "target_var_name": "p", "target_value": 72, "value_dict": {"q": 8}, "is_reverse": true}}
| 1,247
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = z + 4; e = o + 3; q = 8; y = q + 3; r = e + 20; i = y + 14; u = i + 7; p = s + 8; a = u + 12; c = r + 19; o = q + 18; s = a + 20; z = c + 18. Given that q = 8, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = a + 20 to p, which gives p = a + 28.\n2. Substitute a = u + 12 to p, which gives p = u + 40.\n3. Substitute u = i + 7 to p, which gives p = i + 47.\n4. Substitute i = y + 14 to p, which gives p = y + 61.\n5. Substitute y = q + 3 to p, which gives p = q + 64.\n6. Substitute q = 8 to p, which gives p = 72.\n\nThus, the final answer is p = \\boxed{72}.",
"index": 1247,
"question": "Suppose a collection of variables is related by the following definitions: g = z + 4; e = o + 3; q = 8; y = q + 3; r = e + 20; i = y + 14; u = i + 7; p = s + 8; a = u + 12; c = r + 19; o = q + 18; s = a + 20; z = c + 18. Given that q = 8, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"u": "z + 10", "x": "u + 4", "m": "x + 11", "p": "m + 1", "j": "p + 10", "d": "j + 5", "t": "z + 3", "r": "t + 10", "c": "r + 1", "v": "c + 17", "b": "v + 19", "o": "b + 14", "z": 16}, "premises": {"z": 16}, "target": "d"}, "answer": {"steps": [["j", "p + 10", "p + 15"], ["p", "m + 1", "m + 16"], ["m", "x + 11", "x + 27"], ["x", "u + 4", "u + 31"], ["u", "z + 10", "z + 41"], ["z", 16, "57"]], "target_var_name": "d", "target_value": 57, "value_dict": {"z": 16}, "is_reverse": true}}
| 1,248
| 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 + 14; m = x + 11; r = t + 10; v = c + 17; j = p + 10; u = z + 10; d = j + 5; z = 16; c = r + 1; p = m + 1; x = u + 4; t = z + 3; b = v + 19. If z = 16, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = p + 10 to d, which gives d = p + 15.\n2. Substitute p = m + 1 to d, which gives d = m + 16.\n3. Substitute m = x + 11 to d, which gives d = x + 27.\n4. Substitute x = u + 4 to d, which gives d = u + 31.\n5. Substitute u = z + 10 to d, which gives d = z + 41.\n6. Substitute z = 16 to d, which gives d = 57.\n\nThus, the final answer is d = \\boxed{57}.",
"index": 1248,
"question": "Consider a system of variables where each variable is defined as follows: o = b + 14; m = x + 11; r = t + 10; v = c + 17; j = p + 10; u = z + 10; d = j + 5; z = 16; c = r + 1; p = m + 1; x = u + 4; t = z + 3; b = v + 19. If z = 16, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"i": "o + 19", "l": "i + 14", "u": "l + 7", "w": "u + 11", "e": "w + 7", "y": "e + 5", "m": "o + 5", "h": "m + 1", "a": "h + 1", "t": "a + 1", "d": "t + 3", "j": "d + 8", "o": 20}, "premises": {"o": 20}, "target": "y"}, "answer": {"steps": [["e", "w + 7", "w + 12"], ["w", "u + 11", "u + 23"], ["u", "l + 7", "l + 30"], ["l", "i + 14", "i + 44"], ["i", "o + 19", "o + 63"], ["o", 20, "83"]], "target_var_name": "y", "target_value": 83, "value_dict": {"o": 20}, "is_reverse": true}}
| 1,249
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = t + 3; m = o + 5; l = i + 14; i = o + 19; w = u + 11; u = l + 7; t = a + 1; j = d + 8; e = w + 7; h = m + 1; o = 20; y = e + 5; a = h + 1. If o = 20, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = w + 7 to y, which gives y = w + 12.\n2. Substitute w = u + 11 to y, which gives y = u + 23.\n3. Substitute u = l + 7 to y, which gives y = l + 30.\n4. Substitute l = i + 14 to y, which gives y = i + 44.\n5. Substitute i = o + 19 to y, which gives y = o + 63.\n6. Substitute o = 20 to y, which gives y = 83.\n\nThus, the final answer is y = \\boxed{83}.",
"index": 1249,
"question": "Consider a system of variables where each variable is defined as follows: d = t + 3; m = o + 5; l = i + 14; i = o + 19; w = u + 11; u = l + 7; t = a + 1; j = d + 8; e = w + 7; h = m + 1; o = 20; y = e + 5; a = h + 1. If o = 20, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"j": "r + 12", "z": "j + 3", "v": "z + 4", "h": "v + 4", "p": "h + 5", "n": "p + 2", "w": "r + 17", "s": "w + 15", "q": "s + 4", "g": "q + 4", "l": "g + 7", "y": "l + 3", "r": 12}, "premises": {"r": 12}, "target": "n"}, "answer": {"steps": [["p", "h + 5", "h + 7"], ["h", "v + 4", "v + 11"], ["v", "z + 4", "z + 15"], ["z", "j + 3", "j + 18"], ["j", "r + 12", "r + 30"], ["r", 12, "42"]], "target_var_name": "n", "target_value": 42, "value_dict": {"r": 12}, "is_reverse": true}}
| 1,250
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = g + 7; p = h + 5; j = r + 12; h = v + 4; s = w + 15; v = z + 4; g = q + 4; y = l + 3; z = j + 3; q = s + 4; n = p + 2; r = 12; w = r + 17. Given that r = 12, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 42,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = h + 5 to n, which gives n = h + 7.\n2. Substitute h = v + 4 to n, which gives n = v + 11.\n3. Substitute v = z + 4 to n, which gives n = z + 15.\n4. Substitute z = j + 3 to n, which gives n = j + 18.\n5. Substitute j = r + 12 to n, which gives n = r + 30.\n6. Substitute r = 12 to n, which gives n = 42.\n\nThus, the final answer is n = \\boxed{42}.",
"index": 1250,
"question": "Suppose a collection of variables is related by the following definitions: l = g + 7; p = h + 5; j = r + 12; h = v + 4; s = w + 15; v = z + 4; g = q + 4; y = l + 3; z = j + 3; q = s + 4; n = p + 2; r = 12; w = r + 17. Given that r = 12, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"l": "j + 11", "p": "l + 12", "r": "p + 18", "g": "r + 13", "b": "g + 3", "s": "b + 17", "h": "j + 4", "e": "h + 20", "x": "e + 19", "d": "x + 12", "y": "d + 4", "w": "y + 5", "j": 13}, "premises": {"j": 13}, "target": "s"}, "answer": {"steps": [["b", "g + 3", "g + 20"], ["g", "r + 13", "r + 33"], ["r", "p + 18", "p + 51"], ["p", "l + 12", "l + 63"], ["l", "j + 11", "j + 74"], ["j", 13, "87"]], "target_var_name": "s", "target_value": 87, "value_dict": {"j": 13}, "is_reverse": true}}
| 1,251
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = p + 18; j = 13; d = x + 12; y = d + 4; l = j + 11; b = g + 3; x = e + 19; h = j + 4; s = b + 17; w = y + 5; e = h + 20; g = r + 13; p = l + 12. If j = 13, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = g + 3 to s, which gives s = g + 20.\n2. Substitute g = r + 13 to s, which gives s = r + 33.\n3. Substitute r = p + 18 to s, which gives s = p + 51.\n4. Substitute p = l + 12 to s, which gives s = l + 63.\n5. Substitute l = j + 11 to s, which gives s = j + 74.\n6. Substitute j = 13 to s, which gives s = 87.\n\nThus, the final answer is s = \\boxed{87}.",
"index": 1251,
"question": "Consider a system of variables where each variable is defined as follows: r = p + 18; j = 13; d = x + 12; y = d + 4; l = j + 11; b = g + 3; x = e + 19; h = j + 4; s = b + 17; w = y + 5; e = h + 20; g = r + 13; p = l + 12. If j = 13, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"n": "m + 4", "x": "n + 5", "g": "x + 10", "s": "g + 13", "u": "s + 10", "d": "u + 19", "c": "m + 19", "i": "c + 9", "y": "i + 14", "p": "y + 17", "j": "p + 12", "q": "j + 14", "m": 3}, "premises": {"m": 3}, "target": "d"}, "answer": {"steps": [["u", "s + 10", "s + 29"], ["s", "g + 13", "g + 42"], ["g", "x + 10", "x + 52"], ["x", "n + 5", "n + 57"], ["n", "m + 4", "m + 61"], ["m", 3, "64"]], "target_var_name": "d", "target_value": 64, "value_dict": {"m": 3}, "is_reverse": true}}
| 1,252
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = p + 12; c = m + 19; y = i + 14; u = s + 10; x = n + 5; s = g + 13; p = y + 17; m = 3; n = m + 4; g = x + 10; i = c + 9; q = j + 14; d = u + 19. Given that m = 3, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = s + 10 to d, which gives d = s + 29.\n2. Substitute s = g + 13 to d, which gives d = g + 42.\n3. Substitute g = x + 10 to d, which gives d = x + 52.\n4. Substitute x = n + 5 to d, which gives d = n + 57.\n5. Substitute n = m + 4 to d, which gives d = m + 61.\n6. Substitute m = 3 to d, which gives d = 64.\n\nThus, the final answer is d = \\boxed{64}.",
"index": 1252,
"question": "Suppose a collection of variables is related by the following definitions: j = p + 12; c = m + 19; y = i + 14; u = s + 10; x = n + 5; s = g + 13; p = y + 17; m = 3; n = m + 4; g = x + 10; i = c + 9; q = j + 14; d = u + 19. Given that m = 3, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"v": "w + 1", "n": "v + 15", "x": "n + 13", "p": "x + 12", "h": "p + 20", "b": "h + 12", "l": "w + 4", "j": "l + 4", "i": "j + 9", "g": "i + 14", "f": "g + 18", "o": "f + 13", "w": 16}, "premises": {"w": 16}, "target": "b"}, "answer": {"steps": [["h", "p + 20", "p + 32"], ["p", "x + 12", "x + 44"], ["x", "n + 13", "n + 57"], ["n", "v + 15", "v + 72"], ["v", "w + 1", "w + 73"], ["w", 16, "89"]], "target_var_name": "b", "target_value": 89, "value_dict": {"w": 16}, "is_reverse": true}}
| 1,253
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = l + 4; x = n + 13; b = h + 12; l = w + 4; w = 16; n = v + 15; g = i + 14; o = f + 13; h = p + 20; f = g + 18; v = w + 1; i = j + 9; p = x + 12. Given that w = 16, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = p + 20 to b, which gives b = p + 32.\n2. Substitute p = x + 12 to b, which gives b = x + 44.\n3. Substitute x = n + 13 to b, which gives b = n + 57.\n4. Substitute n = v + 15 to b, which gives b = v + 72.\n5. Substitute v = w + 1 to b, which gives b = w + 73.\n6. Substitute w = 16 to b, which gives b = 89.\n\nThus, the final answer is b = \\boxed{89}.",
"index": 1253,
"question": "Suppose a collection of variables is related by the following definitions: j = l + 4; x = n + 13; b = h + 12; l = w + 4; w = 16; n = v + 15; g = i + 14; o = f + 13; h = p + 20; f = g + 18; v = w + 1; i = j + 9; p = x + 12. Given that w = 16, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"k": "o + 7", "z": "k + 7", "q": "z + 14", "j": "q + 13", "p": "j + 8", "d": "p + 2", "i": "o + 14", "s": "i + 15", "b": "s + 12", "a": "b + 18", "e": "a + 18", "g": "e + 1", "o": 3}, "premises": {"o": 3}, "target": "d"}, "answer": {"steps": [["p", "j + 8", "j + 10"], ["j", "q + 13", "q + 23"], ["q", "z + 14", "z + 37"], ["z", "k + 7", "k + 44"], ["k", "o + 7", "o + 51"], ["o", 3, "54"]], "target_var_name": "d", "target_value": 54, "value_dict": {"o": 3}, "is_reverse": true}}
| 1,254
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = p + 2; o = 3; e = a + 18; z = k + 7; g = e + 1; j = q + 13; b = s + 12; q = z + 14; p = j + 8; i = o + 14; a = b + 18; s = i + 15; k = o + 7. Given that o = 3, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = j + 8 to d, which gives d = j + 10.\n2. Substitute j = q + 13 to d, which gives d = q + 23.\n3. Substitute q = z + 14 to d, which gives d = z + 37.\n4. Substitute z = k + 7 to d, which gives d = k + 44.\n5. Substitute k = o + 7 to d, which gives d = o + 51.\n6. Substitute o = 3 to d, which gives d = 54.\n\nThus, the final answer is d = \\boxed{54}.",
"index": 1254,
"question": "Suppose a collection of variables is related by the following definitions: d = p + 2; o = 3; e = a + 18; z = k + 7; g = e + 1; j = q + 13; b = s + 12; q = z + 14; p = j + 8; i = o + 14; a = b + 18; s = i + 15; k = o + 7. Given that o = 3, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"v": "t + 20", "u": "v + 5", "o": "u + 1", "l": "o + 1", "m": "l + 6", "k": "m + 12", "x": "t + 17", "f": "x + 19", "s": "f + 3", "d": "s + 5", "e": "d + 6", "b": "e + 10", "t": 8}, "premises": {"t": 8}, "target": "k"}, "answer": {"steps": [["m", "l + 6", "l + 18"], ["l", "o + 1", "o + 19"], ["o", "u + 1", "u + 20"], ["u", "v + 5", "v + 25"], ["v", "t + 20", "t + 45"], ["t", 8, "53"]], "target_var_name": "k", "target_value": 53, "value_dict": {"t": 8}, "is_reverse": true}}
| 1,255
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = v + 5; e = d + 6; l = o + 1; k = m + 12; o = u + 1; f = x + 19; s = f + 3; x = t + 17; m = l + 6; d = s + 5; t = 8; v = t + 20; b = e + 10. If t = 8, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = l + 6 to k, which gives k = l + 18.\n2. Substitute l = o + 1 to k, which gives k = o + 19.\n3. Substitute o = u + 1 to k, which gives k = u + 20.\n4. Substitute u = v + 5 to k, which gives k = v + 25.\n5. Substitute v = t + 20 to k, which gives k = t + 45.\n6. Substitute t = 8 to k, which gives k = 53.\n\nThus, the final answer is k = \\boxed{53}.",
"index": 1255,
"question": "Consider a system of variables where each variable is defined as follows: u = v + 5; e = d + 6; l = o + 1; k = m + 12; o = u + 1; f = x + 19; s = f + 3; x = t + 17; m = l + 6; d = s + 5; t = 8; v = t + 20; b = e + 10. If t = 8, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"h": "p + 3", "q": "h + 13", "n": "q + 14", "g": "n + 13", "o": "g + 10", "i": "o + 20", "y": "p + 6", "b": "y + 15", "m": "b + 15", "t": "m + 8", "j": "t + 18", "r": "j + 11", "p": 2}, "premises": {"p": 2}, "target": "i"}, "answer": {"steps": [["o", "g + 10", "g + 30"], ["g", "n + 13", "n + 43"], ["n", "q + 14", "q + 57"], ["q", "h + 13", "h + 70"], ["h", "p + 3", "p + 73"], ["p", 2, "75"]], "target_var_name": "i", "target_value": 75, "value_dict": {"p": 2}, "is_reverse": true}}
| 1,256
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = n + 13; j = t + 18; h = p + 3; q = h + 13; m = b + 15; o = g + 10; p = 2; r = j + 11; b = y + 15; t = m + 8; n = q + 14; y = p + 6; i = o + 20. If p = 2, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = g + 10 to i, which gives i = g + 30.\n2. Substitute g = n + 13 to i, which gives i = n + 43.\n3. Substitute n = q + 14 to i, which gives i = q + 57.\n4. Substitute q = h + 13 to i, which gives i = h + 70.\n5. Substitute h = p + 3 to i, which gives i = p + 73.\n6. Substitute p = 2 to i, which gives i = 75.\n\nThus, the final answer is i = \\boxed{75}.",
"index": 1256,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = n + 13; j = t + 18; h = p + 3; q = h + 13; m = b + 15; o = g + 10; p = 2; r = j + 11; b = y + 15; t = m + 8; n = q + 14; y = p + 6; i = o + 20. If p = 2, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"l": "q + 13", "f": "l + 17", "e": "f + 19", "h": "e + 17", "o": "h + 17", "z": "o + 13", "p": "q + 19", "u": "p + 7", "i": "u + 6", "n": "i + 11", "m": "n + 10", "y": "m + 17", "q": 9}, "premises": {"q": 9}, "target": "z"}, "answer": {"steps": [["o", "h + 17", "h + 30"], ["h", "e + 17", "e + 47"], ["e", "f + 19", "f + 66"], ["f", "l + 17", "l + 83"], ["l", "q + 13", "q + 96"], ["q", 9, "105"]], "target_var_name": "z", "target_value": 105, "value_dict": {"q": 9}, "is_reverse": true}}
| 1,257
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = p + 7; y = m + 17; q = 9; e = f + 19; f = l + 17; h = e + 17; m = n + 10; i = u + 6; p = q + 19; o = h + 17; l = q + 13; n = i + 11; z = o + 13. If q = 9, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 105,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = h + 17 to z, which gives z = h + 30.\n2. Substitute h = e + 17 to z, which gives z = e + 47.\n3. Substitute e = f + 19 to z, which gives z = f + 66.\n4. Substitute f = l + 17 to z, which gives z = l + 83.\n5. Substitute l = q + 13 to z, which gives z = q + 96.\n6. Substitute q = 9 to z, which gives z = 105.\n\nThus, the final answer is z = \\boxed{105}.",
"index": 1257,
"question": "Consider a system of variables where each variable is defined as follows: u = p + 7; y = m + 17; q = 9; e = f + 19; f = l + 17; h = e + 17; m = n + 10; i = u + 6; p = q + 19; o = h + 17; l = q + 13; n = i + 11; z = o + 13. If q = 9, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"h": "o + 3", "m": "h + 4", "f": "m + 6", "z": "f + 12", "p": "z + 4", "e": "p + 18", "a": "o + 12", "q": "a + 18", "w": "q + 9", "u": "w + 4", "i": "u + 13", "v": "i + 9", "o": 6}, "premises": {"o": 6}, "target": "e"}, "answer": {"steps": [["p", "z + 4", "z + 22"], ["z", "f + 12", "f + 34"], ["f", "m + 6", "m + 40"], ["m", "h + 4", "h + 44"], ["h", "o + 3", "o + 47"], ["o", 6, "53"]], "target_var_name": "e", "target_value": 53, "value_dict": {"o": 6}, "is_reverse": true}}
| 1,258
| 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 = f + 12; h = o + 3; w = q + 9; u = w + 4; q = a + 18; f = m + 6; v = i + 9; m = h + 4; i = u + 13; p = z + 4; a = o + 12; o = 6; e = p + 18. If o = 6, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = z + 4 to e, which gives e = z + 22.\n2. Substitute z = f + 12 to e, which gives e = f + 34.\n3. Substitute f = m + 6 to e, which gives e = m + 40.\n4. Substitute m = h + 4 to e, which gives e = h + 44.\n5. Substitute h = o + 3 to e, which gives e = o + 47.\n6. Substitute o = 6 to e, which gives e = 53.\n\nThus, the final answer is e = \\boxed{53}.",
"index": 1258,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = f + 12; h = o + 3; w = q + 9; u = w + 4; q = a + 18; f = m + 6; v = i + 9; m = h + 4; i = u + 13; p = z + 4; a = o + 12; o = 6; e = p + 18. If o = 6, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"z": "d + 15", "x": "z + 7", "v": "x + 8", "m": "v + 8", "c": "m + 15", "b": "c + 10", "y": "d + 1", "i": "y + 7", "g": "i + 11", "r": "g + 19", "w": "r + 11", "q": "w + 4", "d": 6}, "premises": {"d": 6}, "target": "b"}, "answer": {"steps": [["c", "m + 15", "m + 25"], ["m", "v + 8", "v + 33"], ["v", "x + 8", "x + 41"], ["x", "z + 7", "z + 48"], ["z", "d + 15", "d + 63"], ["d", 6, "69"]], "target_var_name": "b", "target_value": 69, "value_dict": {"d": 6}, "is_reverse": true}}
| 1,259
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = v + 8; v = x + 8; r = g + 19; q = w + 4; z = d + 15; x = z + 7; b = c + 10; d = 6; c = m + 15; w = r + 11; y = d + 1; g = i + 11; i = y + 7. If d = 6, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = m + 15 to b, which gives b = m + 25.\n2. Substitute m = v + 8 to b, which gives b = v + 33.\n3. Substitute v = x + 8 to b, which gives b = x + 41.\n4. Substitute x = z + 7 to b, which gives b = z + 48.\n5. Substitute z = d + 15 to b, which gives b = d + 63.\n6. Substitute d = 6 to b, which gives b = 69.\n\nThus, the final answer is b = \\boxed{69}.",
"index": 1259,
"question": "Consider a system of variables where each variable is defined as follows: m = v + 8; v = x + 8; r = g + 19; q = w + 4; z = d + 15; x = z + 7; b = c + 10; d = 6; c = m + 15; w = r + 11; y = d + 1; g = i + 11; i = y + 7. If d = 6, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"p": "q + 10", "e": "p + 7", "x": "e + 16", "u": "x + 20", "c": "u + 4", "j": "c + 18", "y": "q + 12", "k": "y + 4", "s": "k + 5", "v": "s + 6", "t": "v + 14", "z": "t + 9", "q": 6}, "premises": {"q": 6}, "target": "j"}, "answer": {"steps": [["c", "u + 4", "u + 22"], ["u", "x + 20", "x + 42"], ["x", "e + 16", "e + 58"], ["e", "p + 7", "p + 65"], ["p", "q + 10", "q + 75"], ["q", 6, "81"]], "target_var_name": "j", "target_value": 81, "value_dict": {"q": 6}, "is_reverse": true}}
| 1,260
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = k + 5; c = u + 4; e = p + 7; j = c + 18; k = y + 4; z = t + 9; x = e + 16; t = v + 14; v = s + 6; u = x + 20; p = q + 10; y = q + 12; q = 6. Given that q = 6, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = u + 4 to j, which gives j = u + 22.\n2. Substitute u = x + 20 to j, which gives j = x + 42.\n3. Substitute x = e + 16 to j, which gives j = e + 58.\n4. Substitute e = p + 7 to j, which gives j = p + 65.\n5. Substitute p = q + 10 to j, which gives j = q + 75.\n6. Substitute q = 6 to j, which gives j = 81.\n\nThus, the final answer is j = \\boxed{81}.",
"index": 1260,
"question": "Suppose a collection of variables is related by the following definitions: s = k + 5; c = u + 4; e = p + 7; j = c + 18; k = y + 4; z = t + 9; x = e + 16; t = v + 14; v = s + 6; u = x + 20; p = q + 10; y = q + 12; q = 6. Given that q = 6, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"o": "w + 8", "x": "o + 1", "n": "x + 14", "i": "n + 15", "h": "i + 12", "s": "h + 3", "u": "w + 14", "k": "u + 18", "l": "k + 13", "v": "l + 18", "j": "v + 14", "r": "j + 16", "w": 18}, "premises": {"w": 18}, "target": "s"}, "answer": {"steps": [["h", "i + 12", "i + 15"], ["i", "n + 15", "n + 30"], ["n", "x + 14", "x + 44"], ["x", "o + 1", "o + 45"], ["o", "w + 8", "w + 53"], ["w", 18, "71"]], "target_var_name": "s", "target_value": 71, "value_dict": {"w": 18}, "is_reverse": true}}
| 1,261
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = 18; i = n + 15; v = l + 18; r = j + 16; h = i + 12; k = u + 18; j = v + 14; x = o + 1; l = k + 13; o = w + 8; u = w + 14; n = x + 14; s = h + 3. If w = 18, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = i + 12 to s, which gives s = i + 15.\n2. Substitute i = n + 15 to s, which gives s = n + 30.\n3. Substitute n = x + 14 to s, which gives s = x + 44.\n4. Substitute x = o + 1 to s, which gives s = o + 45.\n5. Substitute o = w + 8 to s, which gives s = w + 53.\n6. Substitute w = 18 to s, which gives s = 71.\n\nThus, the final answer is s = \\boxed{71}.",
"index": 1261,
"question": "Consider a system of variables where each variable is defined as follows: w = 18; i = n + 15; v = l + 18; r = j + 16; h = i + 12; k = u + 18; j = v + 14; x = o + 1; l = k + 13; o = w + 8; u = w + 14; n = x + 14; s = h + 3. If w = 18, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"x": "f + 11", "m": "x + 16", "j": "m + 16", "v": "j + 5", "r": "v + 3", "d": "r + 16", "l": "f + 11", "c": "l + 10", "b": "c + 9", "p": "b + 14", "e": "p + 4", "t": "e + 16", "f": 3}, "premises": {"f": 3}, "target": "d"}, "answer": {"steps": [["r", "v + 3", "v + 19"], ["v", "j + 5", "j + 24"], ["j", "m + 16", "m + 40"], ["m", "x + 16", "x + 56"], ["x", "f + 11", "f + 67"], ["f", 3, "70"]], "target_var_name": "d", "target_value": 70, "value_dict": {"f": 3}, "is_reverse": true}}
| 1,262
| 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 = l + 10; r = v + 3; e = p + 4; b = c + 9; x = f + 11; l = f + 11; p = b + 14; j = m + 16; f = 3; d = r + 16; t = e + 16; v = j + 5; m = x + 16. If f = 3, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = v + 3 to d, which gives d = v + 19.\n2. Substitute v = j + 5 to d, which gives d = j + 24.\n3. Substitute j = m + 16 to d, which gives d = m + 40.\n4. Substitute m = x + 16 to d, which gives d = x + 56.\n5. Substitute x = f + 11 to d, which gives d = f + 67.\n6. Substitute f = 3 to d, which gives d = 70.\n\nThus, the final answer is d = \\boxed{70}.",
"index": 1262,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = l + 10; r = v + 3; e = p + 4; b = c + 9; x = f + 11; l = f + 11; p = b + 14; j = m + 16; f = 3; d = r + 16; t = e + 16; v = j + 5; m = x + 16. If f = 3, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"f": "n + 7", "a": "f + 5", "x": "a + 8", "k": "x + 8", "u": "k + 19", "e": "u + 7", "g": "n + 8", "c": "g + 10", "t": "c + 16", "l": "t + 20", "w": "l + 7", "y": "w + 6", "n": 19}, "premises": {"n": 19}, "target": "e"}, "answer": {"steps": [["u", "k + 19", "k + 26"], ["k", "x + 8", "x + 34"], ["x", "a + 8", "a + 42"], ["a", "f + 5", "f + 47"], ["f", "n + 7", "n + 54"], ["n", 19, "73"]], "target_var_name": "e", "target_value": 73, "value_dict": {"n": 19}, "is_reverse": true}}
| 1,263
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = c + 16; l = t + 20; x = a + 8; f = n + 7; y = w + 6; g = n + 8; c = g + 10; k = x + 8; e = u + 7; a = f + 5; n = 19; w = l + 7; u = k + 19. If n = 19, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = k + 19 to e, which gives e = k + 26.\n2. Substitute k = x + 8 to e, which gives e = x + 34.\n3. Substitute x = a + 8 to e, which gives e = a + 42.\n4. Substitute a = f + 5 to e, which gives e = f + 47.\n5. Substitute f = n + 7 to e, which gives e = n + 54.\n6. Substitute n = 19 to e, which gives e = 73.\n\nThus, the final answer is e = \\boxed{73}.",
"index": 1263,
"question": "Consider a system of variables where each variable is defined as follows: t = c + 16; l = t + 20; x = a + 8; f = n + 7; y = w + 6; g = n + 8; c = g + 10; k = x + 8; e = u + 7; a = f + 5; n = 19; w = l + 7; u = k + 19. If n = 19, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"i": "y + 1", "a": "i + 16", "k": "a + 7", "x": "k + 5", "g": "x + 19", "u": "g + 8", "q": "y + 4", "j": "q + 19", "c": "j + 14", "w": "c + 17", "t": "w + 6", "b": "t + 6", "y": 7}, "premises": {"y": 7}, "target": "u"}, "answer": {"steps": [["g", "x + 19", "x + 27"], ["x", "k + 5", "k + 32"], ["k", "a + 7", "a + 39"], ["a", "i + 16", "i + 55"], ["i", "y + 1", "y + 56"], ["y", 7, "63"]], "target_var_name": "u", "target_value": 63, "value_dict": {"y": 7}, "is_reverse": true}}
| 1,264
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = a + 7; a = i + 16; u = g + 8; w = c + 17; y = 7; c = j + 14; q = y + 4; t = w + 6; g = x + 19; j = q + 19; b = t + 6; i = y + 1; x = k + 5. Given that y = 7, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = x + 19 to u, which gives u = x + 27.\n2. Substitute x = k + 5 to u, which gives u = k + 32.\n3. Substitute k = a + 7 to u, which gives u = a + 39.\n4. Substitute a = i + 16 to u, which gives u = i + 55.\n5. Substitute i = y + 1 to u, which gives u = y + 56.\n6. Substitute y = 7 to u, which gives u = 63.\n\nThus, the final answer is u = \\boxed{63}.",
"index": 1264,
"question": "Suppose a collection of variables is related by the following definitions: k = a + 7; a = i + 16; u = g + 8; w = c + 17; y = 7; c = j + 14; q = y + 4; t = w + 6; g = x + 19; j = q + 19; b = t + 6; i = y + 1; x = k + 5. Given that y = 7, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"a": "u + 15", "o": "a + 16", "b": "o + 13", "p": "b + 2", "f": "p + 18", "q": "f + 14", "x": "u + 14", "s": "x + 9", "m": "s + 17", "g": "m + 11", "i": "g + 5", "n": "i + 6", "u": 20}, "premises": {"u": 20}, "target": "q"}, "answer": {"steps": [["f", "p + 18", "p + 32"], ["p", "b + 2", "b + 34"], ["b", "o + 13", "o + 47"], ["o", "a + 16", "a + 63"], ["a", "u + 15", "u + 78"], ["u", 20, "98"]], "target_var_name": "q", "target_value": 98, "value_dict": {"u": 20}, "is_reverse": true}}
| 1,265
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = f + 14; b = o + 13; n = i + 6; g = m + 11; o = a + 16; p = b + 2; m = s + 17; f = p + 18; x = u + 14; a = u + 15; i = g + 5; s = x + 9; u = 20. If u = 20, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 98,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = p + 18 to q, which gives q = p + 32.\n2. Substitute p = b + 2 to q, which gives q = b + 34.\n3. Substitute b = o + 13 to q, which gives q = o + 47.\n4. Substitute o = a + 16 to q, which gives q = a + 63.\n5. Substitute a = u + 15 to q, which gives q = u + 78.\n6. Substitute u = 20 to q, which gives q = 98.\n\nThus, the final answer is q = \\boxed{98}.",
"index": 1265,
"question": "Consider a system of variables where each variable is defined as follows: q = f + 14; b = o + 13; n = i + 6; g = m + 11; o = a + 16; p = b + 2; m = s + 17; f = p + 18; x = u + 14; a = u + 15; i = g + 5; s = x + 9; u = 20. If u = 20, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"a": "z + 3", "r": "a + 5", "k": "r + 20", "p": "k + 18", "f": "p + 10", "x": "f + 12", "t": "z + 18", "d": "t + 1", "e": "d + 3", "s": "e + 6", "u": "s + 13", "m": "u + 10", "z": 5}, "premises": {"z": 5}, "target": "x"}, "answer": {"steps": [["f", "p + 10", "p + 22"], ["p", "k + 18", "k + 40"], ["k", "r + 20", "r + 60"], ["r", "a + 5", "a + 65"], ["a", "z + 3", "z + 68"], ["z", 5, "73"]], "target_var_name": "x", "target_value": 73, "value_dict": {"z": 5}, "is_reverse": true}}
| 1,266
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = 5; p = k + 18; d = t + 1; e = d + 3; k = r + 20; s = e + 6; f = p + 10; a = z + 3; x = f + 12; r = a + 5; t = z + 18; m = u + 10; u = s + 13. If z = 5, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = p + 10 to x, which gives x = p + 22.\n2. Substitute p = k + 18 to x, which gives x = k + 40.\n3. Substitute k = r + 20 to x, which gives x = r + 60.\n4. Substitute r = a + 5 to x, which gives x = a + 65.\n5. Substitute a = z + 3 to x, which gives x = z + 68.\n6. Substitute z = 5 to x, which gives x = 73.\n\nThus, the final answer is x = \\boxed{73}.",
"index": 1266,
"question": "Consider a system of variables where each variable is defined as follows: z = 5; p = k + 18; d = t + 1; e = d + 3; k = r + 20; s = e + 6; f = p + 10; a = z + 3; x = f + 12; r = a + 5; t = z + 18; m = u + 10; u = s + 13. If z = 5, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"y": "s + 15", "c": "y + 19", "g": "c + 10", "z": "g + 11", "d": "z + 16", "p": "d + 15", "q": "s + 2", "o": "q + 2", "k": "o + 15", "x": "k + 18", "b": "x + 18", "m": "b + 3", "s": 15}, "premises": {"s": 15}, "target": "p"}, "answer": {"steps": [["d", "z + 16", "z + 31"], ["z", "g + 11", "g + 42"], ["g", "c + 10", "c + 52"], ["c", "y + 19", "y + 71"], ["y", "s + 15", "s + 86"], ["s", 15, "101"]], "target_var_name": "p", "target_value": 101, "value_dict": {"s": 15}, "is_reverse": true}}
| 1,267
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = k + 18; b = x + 18; p = d + 15; c = y + 19; s = 15; g = c + 10; k = o + 15; m = b + 3; y = s + 15; d = z + 16; o = q + 2; q = s + 2; z = g + 11. Given that s = 15, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 101,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = z + 16 to p, which gives p = z + 31.\n2. Substitute z = g + 11 to p, which gives p = g + 42.\n3. Substitute g = c + 10 to p, which gives p = c + 52.\n4. Substitute c = y + 19 to p, which gives p = y + 71.\n5. Substitute y = s + 15 to p, which gives p = s + 86.\n6. Substitute s = 15 to p, which gives p = 101.\n\nThus, the final answer is p = \\boxed{101}.",
"index": 1267,
"question": "Suppose a collection of variables is related by the following definitions: x = k + 18; b = x + 18; p = d + 15; c = y + 19; s = 15; g = c + 10; k = o + 15; m = b + 3; y = s + 15; d = z + 16; o = q + 2; q = s + 2; z = g + 11. Given that s = 15, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"q": "c + 2", "s": "q + 6", "k": "s + 2", "v": "k + 3", "w": "v + 10", "i": "w + 13", "l": "c + 11", "o": "l + 6", "m": "o + 18", "n": "m + 20", "j": "n + 19", "h": "j + 4", "c": 10}, "premises": {"c": 10}, "target": "i"}, "answer": {"steps": [["w", "v + 10", "v + 23"], ["v", "k + 3", "k + 26"], ["k", "s + 2", "s + 28"], ["s", "q + 6", "q + 34"], ["q", "c + 2", "c + 36"], ["c", 10, "46"]], "target_var_name": "i", "target_value": 46, "value_dict": {"c": 10}, "is_reverse": true}}
| 1,268
| 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 = w + 13; v = k + 3; m = o + 18; o = l + 6; n = m + 20; k = s + 2; h = j + 4; w = v + 10; j = n + 19; q = c + 2; l = c + 11; c = 10; s = q + 6. If c = 10, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 46,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = v + 10 to i, which gives i = v + 23.\n2. Substitute v = k + 3 to i, which gives i = k + 26.\n3. Substitute k = s + 2 to i, which gives i = s + 28.\n4. Substitute s = q + 6 to i, which gives i = q + 34.\n5. Substitute q = c + 2 to i, which gives i = c + 36.\n6. Substitute c = 10 to i, which gives i = 46.\n\nThus, the final answer is i = \\boxed{46}.",
"index": 1268,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = w + 13; v = k + 3; m = o + 18; o = l + 6; n = m + 20; k = s + 2; h = j + 4; w = v + 10; j = n + 19; q = c + 2; l = c + 11; c = 10; s = q + 6. If c = 10, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"i": "f + 11", "u": "i + 18", "n": "u + 15", "g": "n + 13", "e": "g + 11", "b": "e + 11", "m": "f + 5", "s": "m + 19", "a": "s + 19", "x": "a + 4", "t": "x + 16", "v": "t + 20", "f": 16}, "premises": {"f": 16}, "target": "b"}, "answer": {"steps": [["e", "g + 11", "g + 22"], ["g", "n + 13", "n + 35"], ["n", "u + 15", "u + 50"], ["u", "i + 18", "i + 68"], ["i", "f + 11", "f + 79"], ["f", 16, "95"]], "target_var_name": "b", "target_value": 95, "value_dict": {"f": 16}, "is_reverse": true}}
| 1,269
| 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 = f + 11; v = t + 20; g = n + 13; e = g + 11; u = i + 18; n = u + 15; x = a + 4; m = f + 5; s = m + 19; f = 16; b = e + 11; a = s + 19; t = x + 16. If f = 16, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = g + 11 to b, which gives b = g + 22.\n2. Substitute g = n + 13 to b, which gives b = n + 35.\n3. Substitute n = u + 15 to b, which gives b = u + 50.\n4. Substitute u = i + 18 to b, which gives b = i + 68.\n5. Substitute i = f + 11 to b, which gives b = f + 79.\n6. Substitute f = 16 to b, which gives b = 95.\n\nThus, the final answer is b = \\boxed{95}.",
"index": 1269,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = f + 11; v = t + 20; g = n + 13; e = g + 11; u = i + 18; n = u + 15; x = a + 4; m = f + 5; s = m + 19; f = 16; b = e + 11; a = s + 19; t = x + 16. If f = 16, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"j": "q + 8", "e": "j + 13", "g": "e + 9", "t": "g + 8", "c": "t + 6", "h": "c + 10", "v": "q + 17", "w": "v + 14", "a": "w + 20", "d": "a + 16", "r": "d + 7", "y": "r + 4", "q": 10}, "premises": {"q": 10}, "target": "h"}, "answer": {"steps": [["c", "t + 6", "t + 16"], ["t", "g + 8", "g + 24"], ["g", "e + 9", "e + 33"], ["e", "j + 13", "j + 46"], ["j", "q + 8", "q + 54"], ["q", 10, "64"]], "target_var_name": "h", "target_value": 64, "value_dict": {"q": 10}, "is_reverse": true}}
| 1,270
| 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 = g + 8; j = q + 8; c = t + 6; y = r + 4; r = d + 7; v = q + 17; q = 10; w = v + 14; g = e + 9; e = j + 13; h = c + 10; a = w + 20; d = a + 16. If q = 10, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = t + 6 to h, which gives h = t + 16.\n2. Substitute t = g + 8 to h, which gives h = g + 24.\n3. Substitute g = e + 9 to h, which gives h = e + 33.\n4. Substitute e = j + 13 to h, which gives h = j + 46.\n5. Substitute j = q + 8 to h, which gives h = q + 54.\n6. Substitute q = 10 to h, which gives h = 64.\n\nThus, the final answer is h = \\boxed{64}.",
"index": 1270,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = g + 8; j = q + 8; c = t + 6; y = r + 4; r = d + 7; v = q + 17; q = 10; w = v + 14; g = e + 9; e = j + 13; h = c + 10; a = w + 20; d = a + 16. If q = 10, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"a": "o + 17", "m": "a + 2", "w": "m + 17", "c": "w + 15", "x": "c + 14", "t": "x + 7", "g": "o + 12", "d": "g + 4", "b": "d + 10", "f": "b + 10", "i": "f + 18", "y": "i + 19", "o": 11}, "premises": {"o": 11}, "target": "t"}, "answer": {"steps": [["x", "c + 14", "c + 21"], ["c", "w + 15", "w + 36"], ["w", "m + 17", "m + 53"], ["m", "a + 2", "a + 55"], ["a", "o + 17", "o + 72"], ["o", 11, "83"]], "target_var_name": "t", "target_value": 83, "value_dict": {"o": 11}, "is_reverse": true}}
| 1,271
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = a + 2; f = b + 10; t = x + 7; c = w + 15; o = 11; d = g + 4; g = o + 12; w = m + 17; b = d + 10; x = c + 14; y = i + 19; i = f + 18; a = o + 17. If o = 11, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = c + 14 to t, which gives t = c + 21.\n2. Substitute c = w + 15 to t, which gives t = w + 36.\n3. Substitute w = m + 17 to t, which gives t = m + 53.\n4. Substitute m = a + 2 to t, which gives t = a + 55.\n5. Substitute a = o + 17 to t, which gives t = o + 72.\n6. Substitute o = 11 to t, which gives t = 83.\n\nThus, the final answer is t = \\boxed{83}.",
"index": 1271,
"question": "Consider a system of variables where each variable is defined as follows: m = a + 2; f = b + 10; t = x + 7; c = w + 15; o = 11; d = g + 4; g = o + 12; w = m + 17; b = d + 10; x = c + 14; y = i + 19; i = f + 18; a = o + 17. If o = 11, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"e": "a + 12", "v": "e + 10", "d": "v + 13", "z": "d + 18", "y": "z + 18", "g": "y + 13", "f": "a + 17", "q": "f + 9", "h": "q + 9", "o": "h + 3", "i": "o + 4", "n": "i + 10", "a": 3}, "premises": {"a": 3}, "target": "g"}, "answer": {"steps": [["y", "z + 18", "z + 31"], ["z", "d + 18", "d + 49"], ["d", "v + 13", "v + 62"], ["v", "e + 10", "e + 72"], ["e", "a + 12", "a + 84"], ["a", 3, "87"]], "target_var_name": "g", "target_value": 87, "value_dict": {"a": 3}, "is_reverse": true}}
| 1,272
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = d + 18; n = i + 10; f = a + 17; y = z + 18; h = q + 9; g = y + 13; d = v + 13; e = a + 12; o = h + 3; i = o + 4; v = e + 10; q = f + 9; a = 3. If a = 3, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = z + 18 to g, which gives g = z + 31.\n2. Substitute z = d + 18 to g, which gives g = d + 49.\n3. Substitute d = v + 13 to g, which gives g = v + 62.\n4. Substitute v = e + 10 to g, which gives g = e + 72.\n5. Substitute e = a + 12 to g, which gives g = a + 84.\n6. Substitute a = 3 to g, which gives g = 87.\n\nThus, the final answer is g = \\boxed{87}.",
"index": 1272,
"question": "Consider a system of variables where each variable is defined as follows: z = d + 18; n = i + 10; f = a + 17; y = z + 18; h = q + 9; g = y + 13; d = v + 13; e = a + 12; o = h + 3; i = o + 4; v = e + 10; q = f + 9; a = 3. If a = 3, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"q": "a + 14", "r": "q + 12", "d": "r + 12", "k": "d + 7", "c": "k + 17", "z": "c + 3", "h": "a + 2", "j": "h + 18", "w": "j + 18", "e": "w + 15", "n": "e + 14", "o": "n + 17", "a": 19}, "premises": {"a": 19}, "target": "z"}, "answer": {"steps": [["c", "k + 17", "k + 20"], ["k", "d + 7", "d + 27"], ["d", "r + 12", "r + 39"], ["r", "q + 12", "q + 51"], ["q", "a + 14", "a + 65"], ["a", 19, "84"]], "target_var_name": "z", "target_value": 84, "value_dict": {"a": 19}, "is_reverse": true}}
| 1,273
| 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 + 7; j = h + 18; a = 19; r = q + 12; o = n + 17; e = w + 15; z = c + 3; c = k + 17; w = j + 18; q = a + 14; n = e + 14; d = r + 12; h = a + 2. If a = 19, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = k + 17 to z, which gives z = k + 20.\n2. Substitute k = d + 7 to z, which gives z = d + 27.\n3. Substitute d = r + 12 to z, which gives z = r + 39.\n4. Substitute r = q + 12 to z, which gives z = q + 51.\n5. Substitute q = a + 14 to z, which gives z = a + 65.\n6. Substitute a = 19 to z, which gives z = 84.\n\nThus, the final answer is z = \\boxed{84}.",
"index": 1273,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = d + 7; j = h + 18; a = 19; r = q + 12; o = n + 17; e = w + 15; z = c + 3; c = k + 17; w = j + 18; q = a + 14; n = e + 14; d = r + 12; h = a + 2. If a = 19, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"x": "a + 12", "n": "x + 15", "k": "n + 8", "l": "k + 12", "v": "l + 17", "f": "v + 1", "z": "a + 15", "y": "z + 20", "o": "y + 13", "t": "o + 16", "i": "t + 1", "s": "i + 5", "a": 19}, "premises": {"a": 19}, "target": "f"}, "answer": {"steps": [["v", "l + 17", "l + 18"], ["l", "k + 12", "k + 30"], ["k", "n + 8", "n + 38"], ["n", "x + 15", "x + 53"], ["x", "a + 12", "a + 65"], ["a", 19, "84"]], "target_var_name": "f", "target_value": 84, "value_dict": {"a": 19}, "is_reverse": true}}
| 1,274
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = y + 13; z = a + 15; f = v + 1; n = x + 15; l = k + 12; k = n + 8; v = l + 17; s = i + 5; x = a + 12; i = t + 1; t = o + 16; y = z + 20; a = 19. Given that a = 19, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = l + 17 to f, which gives f = l + 18.\n2. Substitute l = k + 12 to f, which gives f = k + 30.\n3. Substitute k = n + 8 to f, which gives f = n + 38.\n4. Substitute n = x + 15 to f, which gives f = x + 53.\n5. Substitute x = a + 12 to f, which gives f = a + 65.\n6. Substitute a = 19 to f, which gives f = 84.\n\nThus, the final answer is f = \\boxed{84}.",
"index": 1274,
"question": "Suppose a collection of variables is related by the following definitions: o = y + 13; z = a + 15; f = v + 1; n = x + 15; l = k + 12; k = n + 8; v = l + 17; s = i + 5; x = a + 12; i = t + 1; t = o + 16; y = z + 20; a = 19. Given that a = 19, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"p": "n + 12", "d": "p + 1", "i": "d + 7", "s": "i + 5", "q": "s + 8", "h": "q + 8", "x": "n + 11", "j": "x + 17", "z": "j + 20", "t": "z + 7", "u": "t + 4", "b": "u + 4", "n": 7}, "premises": {"n": 7}, "target": "h"}, "answer": {"steps": [["q", "s + 8", "s + 16"], ["s", "i + 5", "i + 21"], ["i", "d + 7", "d + 28"], ["d", "p + 1", "p + 29"], ["p", "n + 12", "n + 41"], ["n", 7, "48"]], "target_var_name": "h", "target_value": 48, "value_dict": {"n": 7}, "is_reverse": true}}
| 1,275
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = i + 5; q = s + 8; x = n + 11; h = q + 8; t = z + 7; z = j + 20; d = p + 1; j = x + 17; p = n + 12; n = 7; b = u + 4; u = t + 4; i = d + 7. Given that n = 7, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 48,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = s + 8 to h, which gives h = s + 16.\n2. Substitute s = i + 5 to h, which gives h = i + 21.\n3. Substitute i = d + 7 to h, which gives h = d + 28.\n4. Substitute d = p + 1 to h, which gives h = p + 29.\n5. Substitute p = n + 12 to h, which gives h = n + 41.\n6. Substitute n = 7 to h, which gives h = 48.\n\nThus, the final answer is h = \\boxed{48}.",
"index": 1275,
"question": "Suppose a collection of variables is related by the following definitions: s = i + 5; q = s + 8; x = n + 11; h = q + 8; t = z + 7; z = j + 20; d = p + 1; j = x + 17; p = n + 12; n = 7; b = u + 4; u = t + 4; i = d + 7. Given that n = 7, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"w": "g + 16", "i": "w + 15", "l": "i + 15", "k": "l + 20", "d": "k + 13", "x": "d + 3", "m": "g + 9", "v": "m + 17", "p": "v + 12", "e": "p + 7", "r": "e + 12", "b": "r + 19", "g": 12}, "premises": {"g": 12}, "target": "x"}, "answer": {"steps": [["d", "k + 13", "k + 16"], ["k", "l + 20", "l + 36"], ["l", "i + 15", "i + 51"], ["i", "w + 15", "w + 66"], ["w", "g + 16", "g + 82"], ["g", 12, "94"]], "target_var_name": "x", "target_value": 94, "value_dict": {"g": 12}, "is_reverse": true}}
| 1,276
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = i + 15; w = g + 16; e = p + 7; p = v + 12; m = g + 9; g = 12; b = r + 19; d = k + 13; r = e + 12; v = m + 17; x = d + 3; i = w + 15; k = l + 20. Given that g = 12, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = k + 13 to x, which gives x = k + 16.\n2. Substitute k = l + 20 to x, which gives x = l + 36.\n3. Substitute l = i + 15 to x, which gives x = i + 51.\n4. Substitute i = w + 15 to x, which gives x = w + 66.\n5. Substitute w = g + 16 to x, which gives x = g + 82.\n6. Substitute g = 12 to x, which gives x = 94.\n\nThus, the final answer is x = \\boxed{94}.",
"index": 1276,
"question": "Suppose a collection of variables is related by the following definitions: l = i + 15; w = g + 16; e = p + 7; p = v + 12; m = g + 9; g = 12; b = r + 19; d = k + 13; r = e + 12; v = m + 17; x = d + 3; i = w + 15; k = l + 20. Given that g = 12, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"c": "k + 13", "r": "c + 20", "m": "r + 3", "o": "m + 17", "p": "o + 5", "w": "p + 9", "h": "k + 8", "t": "h + 9", "s": "t + 19", "l": "s + 9", "d": "l + 1", "q": "d + 17", "k": 18}, "premises": {"k": 18}, "target": "w"}, "answer": {"steps": [["p", "o + 5", "o + 14"], ["o", "m + 17", "m + 31"], ["m", "r + 3", "r + 34"], ["r", "c + 20", "c + 54"], ["c", "k + 13", "k + 67"], ["k", 18, "85"]], "target_var_name": "w", "target_value": 85, "value_dict": {"k": 18}, "is_reverse": true}}
| 1,277
| 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 = h + 9; d = l + 1; r = c + 20; w = p + 9; k = 18; q = d + 17; p = o + 5; m = r + 3; h = k + 8; s = t + 19; c = k + 13; o = m + 17; l = s + 9. If k = 18, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = o + 5 to w, which gives w = o + 14.\n2. Substitute o = m + 17 to w, which gives w = m + 31.\n3. Substitute m = r + 3 to w, which gives w = r + 34.\n4. Substitute r = c + 20 to w, which gives w = c + 54.\n5. Substitute c = k + 13 to w, which gives w = k + 67.\n6. Substitute k = 18 to w, which gives w = 85.\n\nThus, the final answer is w = \\boxed{85}.",
"index": 1277,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = h + 9; d = l + 1; r = c + 20; w = p + 9; k = 18; q = d + 17; p = o + 5; m = r + 3; h = k + 8; s = t + 19; c = k + 13; o = m + 17; l = s + 9. If k = 18, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"t": "x + 11", "o": "t + 1", "i": "o + 12", "n": "i + 2", "w": "n + 5", "h": "w + 18", "c": "x + 12", "m": "c + 10", "q": "m + 19", "p": "q + 5", "s": "p + 13", "k": "s + 18", "x": 13}, "premises": {"x": 13}, "target": "h"}, "answer": {"steps": [["w", "n + 5", "n + 23"], ["n", "i + 2", "i + 25"], ["i", "o + 12", "o + 37"], ["o", "t + 1", "t + 38"], ["t", "x + 11", "x + 49"], ["x", 13, "62"]], "target_var_name": "h", "target_value": 62, "value_dict": {"x": 13}, "is_reverse": true}}
| 1,278
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = n + 5; i = o + 12; h = w + 18; x = 13; n = i + 2; o = t + 1; t = x + 11; s = p + 13; c = x + 12; k = s + 18; p = q + 5; m = c + 10; q = m + 19. If x = 13, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = n + 5 to h, which gives h = n + 23.\n2. Substitute n = i + 2 to h, which gives h = i + 25.\n3. Substitute i = o + 12 to h, which gives h = o + 37.\n4. Substitute o = t + 1 to h, which gives h = t + 38.\n5. Substitute t = x + 11 to h, which gives h = x + 49.\n6. Substitute x = 13 to h, which gives h = 62.\n\nThus, the final answer is h = \\boxed{62}.",
"index": 1278,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = n + 5; i = o + 12; h = w + 18; x = 13; n = i + 2; o = t + 1; t = x + 11; s = p + 13; c = x + 12; k = s + 18; p = q + 5; m = c + 10; q = m + 19. If x = 13, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"p": "h + 20", "d": "p + 12", "w": "d + 15", "v": "w + 10", "r": "v + 17", "a": "r + 13", "l": "h + 5", "f": "l + 19", "n": "f + 8", "k": "n + 2", "z": "k + 18", "e": "z + 10", "h": 3}, "premises": {"h": 3}, "target": "a"}, "answer": {"steps": [["r", "v + 17", "v + 30"], ["v", "w + 10", "w + 40"], ["w", "d + 15", "d + 55"], ["d", "p + 12", "p + 67"], ["p", "h + 20", "h + 87"], ["h", 3, "90"]], "target_var_name": "a", "target_value": 90, "value_dict": {"h": 3}, "is_reverse": true}}
| 1,279
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = k + 18; p = h + 20; l = h + 5; d = p + 12; w = d + 15; h = 3; r = v + 17; a = r + 13; k = n + 2; n = f + 8; e = z + 10; f = l + 19; v = w + 10. If h = 3, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = v + 17 to a, which gives a = v + 30.\n2. Substitute v = w + 10 to a, which gives a = w + 40.\n3. Substitute w = d + 15 to a, which gives a = d + 55.\n4. Substitute d = p + 12 to a, which gives a = p + 67.\n5. Substitute p = h + 20 to a, which gives a = h + 87.\n6. Substitute h = 3 to a, which gives a = 90.\n\nThus, the final answer is a = \\boxed{90}.",
"index": 1279,
"question": "Consider a system of variables where each variable is defined as follows: z = k + 18; p = h + 20; l = h + 5; d = p + 12; w = d + 15; h = 3; r = v + 17; a = r + 13; k = n + 2; n = f + 8; e = z + 10; f = l + 19; v = w + 10. If h = 3, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"u": "i + 2", "l": "u + 5", "m": "l + 20", "h": "m + 3", "f": "h + 6", "o": "f + 15", "w": "i + 18", "k": "w + 15", "v": "k + 18", "b": "v + 10", "a": "b + 3", "r": "a + 15", "i": 16}, "premises": {"i": 16}, "target": "o"}, "answer": {"steps": [["f", "h + 6", "h + 21"], ["h", "m + 3", "m + 24"], ["m", "l + 20", "l + 44"], ["l", "u + 5", "u + 49"], ["u", "i + 2", "i + 51"], ["i", 16, "67"]], "target_var_name": "o", "target_value": 67, "value_dict": {"i": 16}, "is_reverse": true}}
| 1,280
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = u + 5; o = f + 15; m = l + 20; f = h + 6; u = i + 2; v = k + 18; r = a + 15; k = w + 15; b = v + 10; w = i + 18; a = b + 3; i = 16; h = m + 3. If i = 16, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = h + 6 to o, which gives o = h + 21.\n2. Substitute h = m + 3 to o, which gives o = m + 24.\n3. Substitute m = l + 20 to o, which gives o = l + 44.\n4. Substitute l = u + 5 to o, which gives o = u + 49.\n5. Substitute u = i + 2 to o, which gives o = i + 51.\n6. Substitute i = 16 to o, which gives o = 67.\n\nThus, the final answer is o = \\boxed{67}.",
"index": 1280,
"question": "Consider a system of variables where each variable is defined as follows: l = u + 5; o = f + 15; m = l + 20; f = h + 6; u = i + 2; v = k + 18; r = a + 15; k = w + 15; b = v + 10; w = i + 18; a = b + 3; i = 16; h = m + 3. If i = 16, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"j": "m + 11", "p": "j + 7", "l": "p + 6", "o": "l + 10", "e": "o + 10", "k": "e + 5", "n": "m + 9", "f": "n + 2", "s": "f + 9", "w": "s + 19", "c": "w + 18", "u": "c + 5", "m": 20}, "premises": {"m": 20}, "target": "k"}, "answer": {"steps": [["e", "o + 10", "o + 15"], ["o", "l + 10", "l + 25"], ["l", "p + 6", "p + 31"], ["p", "j + 7", "j + 38"], ["j", "m + 11", "m + 49"], ["m", 20, "69"]], "target_var_name": "k", "target_value": 69, "value_dict": {"m": 20}, "is_reverse": true}}
| 1,281
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = 20; w = s + 19; f = n + 2; o = l + 10; p = j + 7; c = w + 18; k = e + 5; j = m + 11; l = p + 6; u = c + 5; s = f + 9; e = o + 10; n = m + 9. If m = 20, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = o + 10 to k, which gives k = o + 15.\n2. Substitute o = l + 10 to k, which gives k = l + 25.\n3. Substitute l = p + 6 to k, which gives k = p + 31.\n4. Substitute p = j + 7 to k, which gives k = j + 38.\n5. Substitute j = m + 11 to k, which gives k = m + 49.\n6. Substitute m = 20 to k, which gives k = 69.\n\nThus, the final answer is k = \\boxed{69}.",
"index": 1281,
"question": "Consider a system of variables where each variable is defined as follows: m = 20; w = s + 19; f = n + 2; o = l + 10; p = j + 7; c = w + 18; k = e + 5; j = m + 11; l = p + 6; u = c + 5; s = f + 9; e = o + 10; n = m + 9. If m = 20, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"g": "a + 9", "p": "g + 10", "w": "p + 6", "r": "w + 10", "l": "r + 20", "j": "l + 5", "s": "a + 4", "n": "s + 16", "f": "n + 4", "h": "f + 11", "q": "h + 1", "d": "q + 6", "a": 10}, "premises": {"a": 10}, "target": "j"}, "answer": {"steps": [["l", "r + 20", "r + 25"], ["r", "w + 10", "w + 35"], ["w", "p + 6", "p + 41"], ["p", "g + 10", "g + 51"], ["g", "a + 9", "a + 60"], ["a", 10, "70"]], "target_var_name": "j", "target_value": 70, "value_dict": {"a": 10}, "is_reverse": true}}
| 1,282
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = l + 5; q = h + 1; l = r + 20; h = f + 11; g = a + 9; a = 10; w = p + 6; f = n + 4; d = q + 6; r = w + 10; n = s + 16; s = a + 4; p = g + 10. Given that a = 10, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = r + 20 to j, which gives j = r + 25.\n2. Substitute r = w + 10 to j, which gives j = w + 35.\n3. Substitute w = p + 6 to j, which gives j = p + 41.\n4. Substitute p = g + 10 to j, which gives j = g + 51.\n5. Substitute g = a + 9 to j, which gives j = a + 60.\n6. Substitute a = 10 to j, which gives j = 70.\n\nThus, the final answer is j = \\boxed{70}.",
"index": 1282,
"question": "Suppose a collection of variables is related by the following definitions: j = l + 5; q = h + 1; l = r + 20; h = f + 11; g = a + 9; a = 10; w = p + 6; f = n + 4; d = q + 6; r = w + 10; n = s + 16; s = a + 4; p = g + 10. Given that a = 10, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"n": "j + 17", "z": "n + 16", "i": "z + 18", "r": "i + 13", "b": "r + 18", "c": "b + 8", "s": "j + 1", "k": "s + 15", "h": "k + 10", "a": "h + 9", "x": "a + 10", "v": "x + 1", "j": 8}, "premises": {"j": 8}, "target": "c"}, "answer": {"steps": [["b", "r + 18", "r + 26"], ["r", "i + 13", "i + 39"], ["i", "z + 18", "z + 57"], ["z", "n + 16", "n + 73"], ["n", "j + 17", "j + 90"], ["j", 8, "98"]], "target_var_name": "c", "target_value": 98, "value_dict": {"j": 8}, "is_reverse": true}}
| 1,283
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = z + 18; r = i + 13; j = 8; b = r + 18; v = x + 1; x = a + 10; k = s + 15; n = j + 17; c = b + 8; h = k + 10; a = h + 9; s = j + 1; z = n + 16. Given that j = 8, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 98,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = r + 18 to c, which gives c = r + 26.\n2. Substitute r = i + 13 to c, which gives c = i + 39.\n3. Substitute i = z + 18 to c, which gives c = z + 57.\n4. Substitute z = n + 16 to c, which gives c = n + 73.\n5. Substitute n = j + 17 to c, which gives c = j + 90.\n6. Substitute j = 8 to c, which gives c = 98.\n\nThus, the final answer is c = \\boxed{98}.",
"index": 1283,
"question": "Suppose a collection of variables is related by the following definitions: i = z + 18; r = i + 13; j = 8; b = r + 18; v = x + 1; x = a + 10; k = s + 15; n = j + 17; c = b + 8; h = k + 10; a = h + 9; s = j + 1; z = n + 16. Given that j = 8, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"w": "a + 14", "c": "w + 17", "b": "c + 19", "o": "b + 1", "x": "o + 18", "p": "x + 14", "e": "a + 20", "t": "e + 19", "u": "t + 16", "k": "u + 15", "y": "k + 2", "d": "y + 9", "a": 4}, "premises": {"a": 4}, "target": "p"}, "answer": {"steps": [["x", "o + 18", "o + 32"], ["o", "b + 1", "b + 33"], ["b", "c + 19", "c + 52"], ["c", "w + 17", "w + 69"], ["w", "a + 14", "a + 83"], ["a", 4, "87"]], "target_var_name": "p", "target_value": 87, "value_dict": {"a": 4}, "is_reverse": true}}
| 1,284
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = o + 18; w = a + 14; k = u + 15; e = a + 20; o = b + 1; c = w + 17; u = t + 16; p = x + 14; d = y + 9; y = k + 2; a = 4; b = c + 19; t = e + 19. If a = 4, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = o + 18 to p, which gives p = o + 32.\n2. Substitute o = b + 1 to p, which gives p = b + 33.\n3. Substitute b = c + 19 to p, which gives p = c + 52.\n4. Substitute c = w + 17 to p, which gives p = w + 69.\n5. Substitute w = a + 14 to p, which gives p = a + 83.\n6. Substitute a = 4 to p, which gives p = 87.\n\nThus, the final answer is p = \\boxed{87}.",
"index": 1284,
"question": "Consider a system of variables where each variable is defined as follows: x = o + 18; w = a + 14; k = u + 15; e = a + 20; o = b + 1; c = w + 17; u = t + 16; p = x + 14; d = y + 9; y = k + 2; a = 4; b = c + 19; t = e + 19. If a = 4, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"z": "x + 18", "c": "z + 14", "s": "c + 8", "l": "s + 7", "t": "l + 1", "j": "t + 15", "k": "x + 9", "f": "k + 17", "e": "f + 5", "p": "e + 20", "o": "p + 1", "y": "o + 2", "x": 11}, "premises": {"x": 11}, "target": "j"}, "answer": {"steps": [["t", "l + 1", "l + 16"], ["l", "s + 7", "s + 23"], ["s", "c + 8", "c + 31"], ["c", "z + 14", "z + 45"], ["z", "x + 18", "x + 63"], ["x", 11, "74"]], "target_var_name": "j", "target_value": 74, "value_dict": {"x": 11}, "is_reverse": true}}
| 1,285
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = c + 8; z = x + 18; k = x + 9; e = f + 5; c = z + 14; l = s + 7; p = e + 20; x = 11; o = p + 1; f = k + 17; y = o + 2; j = t + 15; t = l + 1. Given that x = 11, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = l + 1 to j, which gives j = l + 16.\n2. Substitute l = s + 7 to j, which gives j = s + 23.\n3. Substitute s = c + 8 to j, which gives j = c + 31.\n4. Substitute c = z + 14 to j, which gives j = z + 45.\n5. Substitute z = x + 18 to j, which gives j = x + 63.\n6. Substitute x = 11 to j, which gives j = 74.\n\nThus, the final answer is j = \\boxed{74}.",
"index": 1285,
"question": "Suppose a collection of variables is related by the following definitions: s = c + 8; z = x + 18; k = x + 9; e = f + 5; c = z + 14; l = s + 7; p = e + 20; x = 11; o = p + 1; f = k + 17; y = o + 2; j = t + 15; t = l + 1. Given that x = 11, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"r": "u + 16", "w": "r + 6", "z": "w + 1", "g": "z + 12", "j": "g + 1", "q": "j + 9", "c": "u + 16", "o": "c + 15", "s": "o + 6", "p": "s + 6", "k": "p + 16", "m": "k + 13", "u": 17}, "premises": {"u": 17}, "target": "q"}, "answer": {"steps": [["j", "g + 1", "g + 10"], ["g", "z + 12", "z + 22"], ["z", "w + 1", "w + 23"], ["w", "r + 6", "r + 29"], ["r", "u + 16", "u + 45"], ["u", 17, "62"]], "target_var_name": "q", "target_value": 62, "value_dict": {"u": 17}, "is_reverse": true}}
| 1,286
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = o + 6; r = u + 16; q = j + 9; k = p + 16; m = k + 13; g = z + 12; c = u + 16; w = r + 6; p = s + 6; o = c + 15; u = 17; z = w + 1; j = g + 1. Given that u = 17, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = g + 1 to q, which gives q = g + 10.\n2. Substitute g = z + 12 to q, which gives q = z + 22.\n3. Substitute z = w + 1 to q, which gives q = w + 23.\n4. Substitute w = r + 6 to q, which gives q = r + 29.\n5. Substitute r = u + 16 to q, which gives q = u + 45.\n6. Substitute u = 17 to q, which gives q = 62.\n\nThus, the final answer is q = \\boxed{62}.",
"index": 1286,
"question": "Suppose a collection of variables is related by the following definitions: s = o + 6; r = u + 16; q = j + 9; k = p + 16; m = k + 13; g = z + 12; c = u + 16; w = r + 6; p = s + 6; o = c + 15; u = 17; z = w + 1; j = g + 1. Given that u = 17, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"u": "x + 13", "z": "u + 4", "t": "z + 8", "n": "t + 16", "b": "n + 1", "j": "b + 16", "e": "x + 6", "m": "e + 4", "y": "m + 20", "h": "y + 16", "o": "h + 10", "w": "o + 3", "x": 12}, "premises": {"x": 12}, "target": "j"}, "answer": {"steps": [["b", "n + 1", "n + 17"], ["n", "t + 16", "t + 33"], ["t", "z + 8", "z + 41"], ["z", "u + 4", "u + 45"], ["u", "x + 13", "x + 58"], ["x", 12, "70"]], "target_var_name": "j", "target_value": 70, "value_dict": {"x": 12}, "is_reverse": true}}
| 1,287
| 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 = z + 8; x = 12; j = b + 16; b = n + 1; u = x + 13; z = u + 4; w = o + 3; n = t + 16; o = h + 10; y = m + 20; h = y + 16; m = e + 4; e = x + 6. If x = 12, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = n + 1 to j, which gives j = n + 17.\n2. Substitute n = t + 16 to j, which gives j = t + 33.\n3. Substitute t = z + 8 to j, which gives j = z + 41.\n4. Substitute z = u + 4 to j, which gives j = u + 45.\n5. Substitute u = x + 13 to j, which gives j = x + 58.\n6. Substitute x = 12 to j, which gives j = 70.\n\nThus, the final answer is j = \\boxed{70}.",
"index": 1287,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = z + 8; x = 12; j = b + 16; b = n + 1; u = x + 13; z = u + 4; w = o + 3; n = t + 16; o = h + 10; y = m + 20; h = y + 16; m = e + 4; e = x + 6. If x = 12, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"u": "f + 2", "r": "u + 16", "c": "r + 1", "q": "c + 19", "o": "q + 12", "y": "o + 12", "m": "f + 20", "w": "m + 7", "h": "w + 6", "l": "h + 15", "d": "l + 10", "i": "d + 12", "f": 3}, "premises": {"f": 3}, "target": "y"}, "answer": {"steps": [["o", "q + 12", "q + 24"], ["q", "c + 19", "c + 43"], ["c", "r + 1", "r + 44"], ["r", "u + 16", "u + 60"], ["u", "f + 2", "f + 62"], ["f", 3, "65"]], "target_var_name": "y", "target_value": 65, "value_dict": {"f": 3}, "is_reverse": true}}
| 1,288
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = w + 6; o = q + 12; l = h + 15; m = f + 20; f = 3; u = f + 2; i = d + 12; c = r + 1; d = l + 10; y = o + 12; q = c + 19; r = u + 16; w = m + 7. If f = 3, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = q + 12 to y, which gives y = q + 24.\n2. Substitute q = c + 19 to y, which gives y = c + 43.\n3. Substitute c = r + 1 to y, which gives y = r + 44.\n4. Substitute r = u + 16 to y, which gives y = u + 60.\n5. Substitute u = f + 2 to y, which gives y = f + 62.\n6. Substitute f = 3 to y, which gives y = 65.\n\nThus, the final answer is y = \\boxed{65}.",
"index": 1288,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = w + 6; o = q + 12; l = h + 15; m = f + 20; f = 3; u = f + 2; i = d + 12; c = r + 1; d = l + 10; y = o + 12; q = c + 19; r = u + 16; w = m + 7. If f = 3, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"t": "k + 3", "u": "t + 6", "c": "u + 6", "l": "c + 12", "z": "l + 14", "g": "z + 7", "a": "k + 6", "y": "a + 11", "j": "y + 10", "w": "j + 10", "o": "w + 3", "v": "o + 16", "k": 20}, "premises": {"k": 20}, "target": "g"}, "answer": {"steps": [["z", "l + 14", "l + 21"], ["l", "c + 12", "c + 33"], ["c", "u + 6", "u + 39"], ["u", "t + 6", "t + 45"], ["t", "k + 3", "k + 48"], ["k", 20, "68"]], "target_var_name": "g", "target_value": 68, "value_dict": {"k": 20}, "is_reverse": true}}
| 1,289
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = y + 10; v = o + 16; z = l + 14; l = c + 12; a = k + 6; o = w + 3; y = a + 11; u = t + 6; g = z + 7; w = j + 10; t = k + 3; k = 20; c = u + 6. If k = 20, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = l + 14 to g, which gives g = l + 21.\n2. Substitute l = c + 12 to g, which gives g = c + 33.\n3. Substitute c = u + 6 to g, which gives g = u + 39.\n4. Substitute u = t + 6 to g, which gives g = t + 45.\n5. Substitute t = k + 3 to g, which gives g = k + 48.\n6. Substitute k = 20 to g, which gives g = 68.\n\nThus, the final answer is g = \\boxed{68}.",
"index": 1289,
"question": "Consider a system of variables where each variable is defined as follows: j = y + 10; v = o + 16; z = l + 14; l = c + 12; a = k + 6; o = w + 3; y = a + 11; u = t + 6; g = z + 7; w = j + 10; t = k + 3; k = 20; c = u + 6. If k = 20, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"y": "e + 1", "m": "y + 17", "a": "m + 1", "h": "a + 1", "g": "h + 17", "s": "g + 16", "b": "e + 15", "j": "b + 5", "k": "j + 4", "w": "k + 17", "c": "w + 8", "n": "c + 13", "e": 17}, "premises": {"e": 17}, "target": "s"}, "answer": {"steps": [["g", "h + 17", "h + 33"], ["h", "a + 1", "a + 34"], ["a", "m + 1", "m + 35"], ["m", "y + 17", "y + 52"], ["y", "e + 1", "e + 53"], ["e", 17, "70"]], "target_var_name": "s", "target_value": 70, "value_dict": {"e": 17}, "is_reverse": true}}
| 1,290
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = 17; k = j + 4; j = b + 5; w = k + 17; a = m + 1; g = h + 17; s = g + 16; m = y + 17; y = e + 1; c = w + 8; h = a + 1; n = c + 13; b = e + 15. If e = 17, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = h + 17 to s, which gives s = h + 33.\n2. Substitute h = a + 1 to s, which gives s = a + 34.\n3. Substitute a = m + 1 to s, which gives s = m + 35.\n4. Substitute m = y + 17 to s, which gives s = y + 52.\n5. Substitute y = e + 1 to s, which gives s = e + 53.\n6. Substitute e = 17 to s, which gives s = 70.\n\nThus, the final answer is s = \\boxed{70}.",
"index": 1290,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = 17; k = j + 4; j = b + 5; w = k + 17; a = m + 1; g = h + 17; s = g + 16; m = y + 17; y = e + 1; c = w + 8; h = a + 1; n = c + 13; b = e + 15. If e = 17, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"a": "v + 11", "r": "a + 1", "t": "r + 11", "e": "t + 14", "n": "e + 11", "f": "n + 6", "u": "v + 16", "o": "u + 7", "x": "o + 19", "q": "x + 18", "y": "q + 8", "k": "y + 19", "v": 9}, "premises": {"v": 9}, "target": "f"}, "answer": {"steps": [["n", "e + 11", "e + 17"], ["e", "t + 14", "t + 31"], ["t", "r + 11", "r + 42"], ["r", "a + 1", "a + 43"], ["a", "v + 11", "v + 54"], ["v", 9, "63"]], "target_var_name": "f", "target_value": 63, "value_dict": {"v": 9}, "is_reverse": true}}
| 1,291
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = r + 11; r = a + 1; a = v + 11; x = o + 19; v = 9; n = e + 11; u = v + 16; e = t + 14; y = q + 8; f = n + 6; q = x + 18; k = y + 19; o = u + 7. Given that v = 9, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = e + 11 to f, which gives f = e + 17.\n2. Substitute e = t + 14 to f, which gives f = t + 31.\n3. Substitute t = r + 11 to f, which gives f = r + 42.\n4. Substitute r = a + 1 to f, which gives f = a + 43.\n5. Substitute a = v + 11 to f, which gives f = v + 54.\n6. Substitute v = 9 to f, which gives f = 63.\n\nThus, the final answer is f = \\boxed{63}.",
"index": 1291,
"question": "Suppose a collection of variables is related by the following definitions: t = r + 11; r = a + 1; a = v + 11; x = o + 19; v = 9; n = e + 11; u = v + 16; e = t + 14; y = q + 8; f = n + 6; q = x + 18; k = y + 19; o = u + 7. Given that v = 9, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"j": "h + 5", "q": "j + 6", "p": "q + 15", "y": "p + 6", "u": "y + 2", "w": "u + 11", "r": "h + 19", "i": "r + 13", "b": "i + 15", "m": "b + 14", "f": "m + 4", "a": "f + 16", "h": 14}, "premises": {"h": 14}, "target": "w"}, "answer": {"steps": [["u", "y + 2", "y + 13"], ["y", "p + 6", "p + 19"], ["p", "q + 15", "q + 34"], ["q", "j + 6", "j + 40"], ["j", "h + 5", "h + 45"], ["h", 14, "59"]], "target_var_name": "w", "target_value": 59, "value_dict": {"h": 14}, "is_reverse": true}}
| 1,292
| 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 = 14; y = p + 6; b = i + 15; j = h + 5; r = h + 19; q = j + 6; i = r + 13; u = y + 2; m = b + 14; a = f + 16; p = q + 15; f = m + 4; w = u + 11. If h = 14, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = y + 2 to w, which gives w = y + 13.\n2. Substitute y = p + 6 to w, which gives w = p + 19.\n3. Substitute p = q + 15 to w, which gives w = q + 34.\n4. Substitute q = j + 6 to w, which gives w = j + 40.\n5. Substitute j = h + 5 to w, which gives w = h + 45.\n6. Substitute h = 14 to w, which gives w = 59.\n\nThus, the final answer is w = \\boxed{59}.",
"index": 1292,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = 14; y = p + 6; b = i + 15; j = h + 5; r = h + 19; q = j + 6; i = r + 13; u = y + 2; m = b + 14; a = f + 16; p = q + 15; f = m + 4; w = u + 11. If h = 14, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"s": "v + 3", "b": "s + 4", "o": "b + 1", "e": "o + 12", "q": "e + 14", "k": "q + 11", "h": "v + 18", "n": "h + 15", "p": "n + 8", "u": "p + 1", "r": "u + 5", "y": "r + 7", "v": 9}, "premises": {"v": 9}, "target": "k"}, "answer": {"steps": [["q", "e + 14", "e + 25"], ["e", "o + 12", "o + 37"], ["o", "b + 1", "b + 38"], ["b", "s + 4", "s + 42"], ["s", "v + 3", "v + 45"], ["v", 9, "54"]], "target_var_name": "k", "target_value": 54, "value_dict": {"v": 9}, "is_reverse": true}}
| 1,293
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = v + 3; q = e + 14; v = 9; o = b + 1; u = p + 1; e = o + 12; b = s + 4; h = v + 18; n = h + 15; k = q + 11; r = u + 5; y = r + 7; p = n + 8. Given that v = 9, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = e + 14 to k, which gives k = e + 25.\n2. Substitute e = o + 12 to k, which gives k = o + 37.\n3. Substitute o = b + 1 to k, which gives k = b + 38.\n4. Substitute b = s + 4 to k, which gives k = s + 42.\n5. Substitute s = v + 3 to k, which gives k = v + 45.\n6. Substitute v = 9 to k, which gives k = 54.\n\nThus, the final answer is k = \\boxed{54}.",
"index": 1293,
"question": "Suppose a collection of variables is related by the following definitions: s = v + 3; q = e + 14; v = 9; o = b + 1; u = p + 1; e = o + 12; b = s + 4; h = v + 18; n = h + 15; k = q + 11; r = u + 5; y = r + 7; p = n + 8. Given that v = 9, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"d": "c + 5", "b": "d + 7", "w": "b + 5", "n": "w + 12", "m": "n + 11", "s": "m + 13", "j": "c + 7", "a": "j + 15", "k": "a + 4", "x": "k + 6", "r": "x + 20", "i": "r + 2", "c": 10}, "premises": {"c": 10}, "target": "s"}, "answer": {"steps": [["m", "n + 11", "n + 24"], ["n", "w + 12", "w + 36"], ["w", "b + 5", "b + 41"], ["b", "d + 7", "d + 48"], ["d", "c + 5", "c + 53"], ["c", 10, "63"]], "target_var_name": "s", "target_value": 63, "value_dict": {"c": 10}, "is_reverse": true}}
| 1,294
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = w + 12; b = d + 7; d = c + 5; i = r + 2; x = k + 6; a = j + 15; m = n + 11; k = a + 4; r = x + 20; s = m + 13; j = c + 7; w = b + 5; c = 10. Given that c = 10, find the 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 m = n + 11 to s, which gives s = n + 24.\n2. Substitute n = w + 12 to s, which gives s = w + 36.\n3. Substitute w = b + 5 to s, which gives s = b + 41.\n4. Substitute b = d + 7 to s, which gives s = d + 48.\n5. Substitute d = c + 5 to s, which gives s = c + 53.\n6. Substitute c = 10 to s, which gives s = 63.\n\nThus, the final answer is s = \\boxed{63}.",
"index": 1294,
"question": "Suppose a collection of variables is related by the following definitions: n = w + 12; b = d + 7; d = c + 5; i = r + 2; x = k + 6; a = j + 15; m = n + 11; k = a + 4; r = x + 20; s = m + 13; j = c + 7; w = b + 5; c = 10. Given that c = 10, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"n": "i + 3", "h": "n + 7", "y": "h + 15", "g": "y + 6", "z": "g + 16", "c": "z + 13", "f": "i + 7", "e": "f + 1", "j": "e + 16", "t": "j + 12", "r": "t + 19", "s": "r + 18", "i": 6}, "premises": {"i": 6}, "target": "c"}, "answer": {"steps": [["z", "g + 16", "g + 29"], ["g", "y + 6", "y + 35"], ["y", "h + 15", "h + 50"], ["h", "n + 7", "n + 57"], ["n", "i + 3", "i + 60"], ["i", 6, "66"]], "target_var_name": "c", "target_value": 66, "value_dict": {"i": 6}, "is_reverse": true}}
| 1,295
| 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 = i + 7; i = 6; j = e + 16; c = z + 13; y = h + 15; r = t + 19; h = n + 7; e = f + 1; s = r + 18; g = y + 6; t = j + 12; n = i + 3; z = g + 16. If i = 6, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = g + 16 to c, which gives c = g + 29.\n2. Substitute g = y + 6 to c, which gives c = y + 35.\n3. Substitute y = h + 15 to c, which gives c = h + 50.\n4. Substitute h = n + 7 to c, which gives c = n + 57.\n5. Substitute n = i + 3 to c, which gives c = i + 60.\n6. Substitute i = 6 to c, which gives c = 66.\n\nThus, the final answer is c = \\boxed{66}.",
"index": 1295,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = i + 7; i = 6; j = e + 16; c = z + 13; y = h + 15; r = t + 19; h = n + 7; e = f + 1; s = r + 18; g = y + 6; t = j + 12; n = i + 3; z = g + 16. If i = 6, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"z": "g + 13", "c": "z + 3", "f": "c + 1", "b": "f + 10", "l": "b + 16", "p": "l + 19", "y": "g + 15", "t": "y + 8", "r": "t + 2", "m": "r + 10", "k": "m + 15", "x": "k + 10", "g": 1}, "premises": {"g": 1}, "target": "p"}, "answer": {"steps": [["l", "b + 16", "b + 35"], ["b", "f + 10", "f + 45"], ["f", "c + 1", "c + 46"], ["c", "z + 3", "z + 49"], ["z", "g + 13", "g + 62"], ["g", 1, "63"]], "target_var_name": "p", "target_value": 63, "value_dict": {"g": 1}, "is_reverse": true}}
| 1,296
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = y + 8; p = l + 19; r = t + 2; k = m + 15; g = 1; x = k + 10; c = z + 3; y = g + 15; f = c + 1; z = g + 13; b = f + 10; m = r + 10; l = b + 16. If g = 1, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = b + 16 to p, which gives p = b + 35.\n2. Substitute b = f + 10 to p, which gives p = f + 45.\n3. Substitute f = c + 1 to p, which gives p = c + 46.\n4. Substitute c = z + 3 to p, which gives p = z + 49.\n5. Substitute z = g + 13 to p, which gives p = g + 62.\n6. Substitute g = 1 to p, which gives p = 63.\n\nThus, the final answer is p = \\boxed{63}.",
"index": 1296,
"question": "Consider a system of variables where each variable is defined as follows: t = y + 8; p = l + 19; r = t + 2; k = m + 15; g = 1; x = k + 10; c = z + 3; y = g + 15; f = c + 1; z = g + 13; b = f + 10; m = r + 10; l = b + 16. If g = 1, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"p": "y + 8", "r": "p + 18", "m": "r + 4", "j": "m + 19", "i": "j + 2", "b": "i + 15", "d": "y + 11", "l": "d + 1", "a": "l + 11", "g": "a + 8", "s": "g + 20", "w": "s + 20", "y": 2}, "premises": {"y": 2}, "target": "b"}, "answer": {"steps": [["i", "j + 2", "j + 17"], ["j", "m + 19", "m + 36"], ["m", "r + 4", "r + 40"], ["r", "p + 18", "p + 58"], ["p", "y + 8", "y + 66"], ["y", 2, "68"]], "target_var_name": "b", "target_value": 68, "value_dict": {"y": 2}, "is_reverse": true}}
| 1,297
| 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 = l + 11; d = y + 11; b = i + 15; w = s + 20; s = g + 20; l = d + 1; j = m + 19; m = r + 4; r = p + 18; i = j + 2; p = y + 8; y = 2; g = a + 8. If y = 2, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = j + 2 to b, which gives b = j + 17.\n2. Substitute j = m + 19 to b, which gives b = m + 36.\n3. Substitute m = r + 4 to b, which gives b = r + 40.\n4. Substitute r = p + 18 to b, which gives b = p + 58.\n5. Substitute p = y + 8 to b, which gives b = y + 66.\n6. Substitute y = 2 to b, which gives b = 68.\n\nThus, the final answer is b = \\boxed{68}.",
"index": 1297,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = l + 11; d = y + 11; b = i + 15; w = s + 20; s = g + 20; l = d + 1; j = m + 19; m = r + 4; r = p + 18; i = j + 2; p = y + 8; y = 2; g = a + 8. If y = 2, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"d": "s + 2", "v": "d + 2", "k": "v + 2", "l": "k + 20", "w": "l + 2", "m": "w + 18", "c": "s + 12", "f": "c + 7", "q": "f + 6", "e": "q + 17", "t": "e + 7", "z": "t + 1", "s": 20}, "premises": {"s": 20}, "target": "m"}, "answer": {"steps": [["w", "l + 2", "l + 20"], ["l", "k + 20", "k + 40"], ["k", "v + 2", "v + 42"], ["v", "d + 2", "d + 44"], ["d", "s + 2", "s + 46"], ["s", 20, "66"]], "target_var_name": "m", "target_value": 66, "value_dict": {"s": 20}, "is_reverse": true}}
| 1,298
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = q + 17; v = d + 2; l = k + 20; t = e + 7; s = 20; q = f + 6; k = v + 2; f = c + 7; d = s + 2; m = w + 18; w = l + 2; c = s + 12; z = t + 1. Given that s = 20, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = l + 2 to m, which gives m = l + 20.\n2. Substitute l = k + 20 to m, which gives m = k + 40.\n3. Substitute k = v + 2 to m, which gives m = v + 42.\n4. Substitute v = d + 2 to m, which gives m = d + 44.\n5. Substitute d = s + 2 to m, which gives m = s + 46.\n6. Substitute s = 20 to m, which gives m = 66.\n\nThus, the final answer is m = \\boxed{66}.",
"index": 1298,
"question": "Suppose a collection of variables is related by the following definitions: e = q + 17; v = d + 2; l = k + 20; t = e + 7; s = 20; q = f + 6; k = v + 2; f = c + 7; d = s + 2; m = w + 18; w = l + 2; c = s + 12; z = t + 1. Given that s = 20, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"k": "y + 10", "o": "k + 1", "c": "o + 15", "x": "c + 16", "f": "x + 7", "m": "f + 20", "d": "y + 1", "t": "d + 3", "p": "t + 15", "z": "p + 11", "n": "z + 4", "s": "n + 13", "y": 14}, "premises": {"y": 14}, "target": "m"}, "answer": {"steps": [["f", "x + 7", "x + 27"], ["x", "c + 16", "c + 43"], ["c", "o + 15", "o + 58"], ["o", "k + 1", "k + 59"], ["k", "y + 10", "y + 69"], ["y", 14, "83"]], "target_var_name": "m", "target_value": 83, "value_dict": {"y": 14}, "is_reverse": true}}
| 1,299
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = t + 15; o = k + 1; k = y + 10; y = 14; z = p + 11; n = z + 4; d = y + 1; x = c + 16; t = d + 3; f = x + 7; s = n + 13; c = o + 15; m = f + 20. If y = 14, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = x + 7 to m, which gives m = x + 27.\n2. Substitute x = c + 16 to m, which gives m = c + 43.\n3. Substitute c = o + 15 to m, which gives m = o + 58.\n4. Substitute o = k + 1 to m, which gives m = k + 59.\n5. Substitute k = y + 10 to m, which gives m = y + 69.\n6. Substitute y = 14 to m, which gives m = 83.\n\nThus, the final answer is m = \\boxed{83}.",
"index": 1299,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = t + 15; o = k + 1; k = y + 10; y = 14; z = p + 11; n = z + 4; d = y + 1; x = c + 16; t = d + 3; f = x + 7; s = n + 13; c = o + 15; m = f + 20. If y = 14, what is the resulting value of m?",
"split": "train"
}
|
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