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stringlengths 493
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25.6k
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int64 0
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stringclasses 1
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stringclasses 1
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listlengths 1
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stringclasses 1
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dict | extra_info
dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"v": "k + 11", "u": "v + 13", "a": "u + 5", "g": "a + 20", "z": "g + 20", "m": "z + 8", "b": "k + 19", "s": "b + 20", "h": "s + 19", "f": "h + 15", "i": "f + 14", "c": "i + 3", "k": 10}, "premises": {"k": 10}, "target": "m"}, "answer": {"steps": [["z", "g + 20", "g + 28"], ["g", "a + 20", "a + 48"], ["a", "u + 5", "u + 53"], ["u", "v + 13", "v + 66"], ["v", "k + 11", "k + 77"], ["k", 10, "87"]], "target_var_name": "m", "target_value": 87, "value_dict": {"k": 10}, "is_reverse": true}}
| 500
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = z + 8; f = h + 15; c = i + 3; k = 10; b = k + 19; s = b + 20; g = a + 20; a = u + 5; h = s + 19; v = k + 11; i = f + 14; z = g + 20; u = v + 13. Given that k = 10, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = g + 20 to m, which gives m = g + 28.\n2. Substitute g = a + 20 to m, which gives m = a + 48.\n3. Substitute a = u + 5 to m, which gives m = u + 53.\n4. Substitute u = v + 13 to m, which gives m = v + 66.\n5. Substitute v = k + 11 to m, which gives m = k + 77.\n6. Substitute k = 10 to m, which gives m = 87.\n\nThus, the final answer is m = \\boxed{87}.",
"index": 500,
"question": "Suppose a collection of variables is related by the following definitions: m = z + 8; f = h + 15; c = i + 3; k = 10; b = k + 19; s = b + 20; g = a + 20; a = u + 5; h = s + 19; v = k + 11; i = f + 14; z = g + 20; u = v + 13. Given that k = 10, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"d": "z + 4", "t": "d + 2", "g": "t + 3", "p": "g + 7", "k": "p + 20", "o": "k + 14", "u": "z + 14", "i": "u + 18", "s": "i + 9", "a": "s + 19", "n": "a + 20", "m": "n + 19", "z": 4}, "premises": {"z": 4}, "target": "o"}, "answer": {"steps": [["k", "p + 20", "p + 34"], ["p", "g + 7", "g + 41"], ["g", "t + 3", "t + 44"], ["t", "d + 2", "d + 46"], ["d", "z + 4", "z + 50"], ["z", 4, "54"]], "target_var_name": "o", "target_value": 54, "value_dict": {"z": 4}, "is_reverse": true}}
| 501
| 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 = 4; s = i + 9; m = n + 19; a = s + 19; k = p + 20; g = t + 3; d = z + 4; n = a + 20; t = d + 2; u = z + 14; o = k + 14; i = u + 18; p = g + 7. If z = 4, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = p + 20 to o, which gives o = p + 34.\n2. Substitute p = g + 7 to o, which gives o = g + 41.\n3. Substitute g = t + 3 to o, which gives o = t + 44.\n4. Substitute t = d + 2 to o, which gives o = d + 46.\n5. Substitute d = z + 4 to o, which gives o = z + 50.\n6. Substitute z = 4 to o, which gives o = 54.\n\nThus, the final answer is o = \\boxed{54}.",
"index": 501,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = 4; s = i + 9; m = n + 19; a = s + 19; k = p + 20; g = t + 3; d = z + 4; n = a + 20; t = d + 2; u = z + 14; o = k + 14; i = u + 18; p = g + 7. If z = 4, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"r": "q + 13", "m": "r + 7", "l": "m + 3", "u": "l + 15", "t": "u + 17", "o": "t + 10", "b": "q + 3", "k": "b + 5", "i": "k + 11", "n": "i + 16", "z": "n + 18", "e": "z + 13", "q": 9}, "premises": {"q": 9}, "target": "o"}, "answer": {"steps": [["t", "u + 17", "u + 27"], ["u", "l + 15", "l + 42"], ["l", "m + 3", "m + 45"], ["m", "r + 7", "r + 52"], ["r", "q + 13", "q + 65"], ["q", 9, "74"]], "target_var_name": "o", "target_value": 74, "value_dict": {"q": 9}, "is_reverse": true}}
| 502
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = t + 10; z = n + 18; n = i + 16; u = l + 15; q = 9; i = k + 11; l = m + 3; m = r + 7; r = q + 13; t = u + 17; b = q + 3; e = z + 13; k = b + 5. If q = 9, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = u + 17 to o, which gives o = u + 27.\n2. Substitute u = l + 15 to o, which gives o = l + 42.\n3. Substitute l = m + 3 to o, which gives o = m + 45.\n4. Substitute m = r + 7 to o, which gives o = r + 52.\n5. Substitute r = q + 13 to o, which gives o = q + 65.\n6. Substitute q = 9 to o, which gives o = 74.\n\nThus, the final answer is o = \\boxed{74}.",
"index": 502,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = t + 10; z = n + 18; n = i + 16; u = l + 15; q = 9; i = k + 11; l = m + 3; m = r + 7; r = q + 13; t = u + 17; b = q + 3; e = z + 13; k = b + 5. If q = 9, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"q": "v + 13", "j": "q + 7", "s": "j + 15", "h": "s + 7", "g": "h + 12", "x": "g + 17", "t": "v + 2", "e": "t + 10", "u": "e + 19", "z": "u + 8", "k": "z + 4", "w": "k + 1", "v": 14}, "premises": {"v": 14}, "target": "x"}, "answer": {"steps": [["g", "h + 12", "h + 29"], ["h", "s + 7", "s + 36"], ["s", "j + 15", "j + 51"], ["j", "q + 7", "q + 58"], ["q", "v + 13", "v + 71"], ["v", 14, "85"]], "target_var_name": "x", "target_value": 85, "value_dict": {"v": 14}, "is_reverse": true}}
| 503
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = s + 7; t = v + 2; k = z + 4; q = v + 13; x = g + 17; e = t + 10; j = q + 7; g = h + 12; v = 14; w = k + 1; u = e + 19; z = u + 8; s = j + 15. Given that v = 14, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = h + 12 to x, which gives x = h + 29.\n2. Substitute h = s + 7 to x, which gives x = s + 36.\n3. Substitute s = j + 15 to x, which gives x = j + 51.\n4. Substitute j = q + 7 to x, which gives x = q + 58.\n5. Substitute q = v + 13 to x, which gives x = v + 71.\n6. Substitute v = 14 to x, which gives x = 85.\n\nThus, the final answer is x = \\boxed{85}.",
"index": 503,
"question": "Suppose a collection of variables is related by the following definitions: h = s + 7; t = v + 2; k = z + 4; q = v + 13; x = g + 17; e = t + 10; j = q + 7; g = h + 12; v = 14; w = k + 1; u = e + 19; z = u + 8; s = j + 15. Given that v = 14, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"v": "p + 2", "g": "v + 2", "l": "g + 18", "w": "l + 20", "d": "w + 13", "y": "d + 20", "m": "p + 20", "x": "m + 14", "f": "x + 11", "u": "f + 20", "s": "u + 1", "q": "s + 5", "p": 4}, "premises": {"p": 4}, "target": "y"}, "answer": {"steps": [["d", "w + 13", "w + 33"], ["w", "l + 20", "l + 53"], ["l", "g + 18", "g + 71"], ["g", "v + 2", "v + 73"], ["v", "p + 2", "p + 75"], ["p", 4, "79"]], "target_var_name": "y", "target_value": 79, "value_dict": {"p": 4}, "is_reverse": true}}
| 504
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = f + 20; g = v + 2; s = u + 1; q = s + 5; l = g + 18; p = 4; v = p + 2; f = x + 11; x = m + 14; w = l + 20; y = d + 20; d = w + 13; m = p + 20. Given that p = 4, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = w + 13 to y, which gives y = w + 33.\n2. Substitute w = l + 20 to y, which gives y = l + 53.\n3. Substitute l = g + 18 to y, which gives y = g + 71.\n4. Substitute g = v + 2 to y, which gives y = v + 73.\n5. Substitute v = p + 2 to y, which gives y = p + 75.\n6. Substitute p = 4 to y, which gives y = 79.\n\nThus, the final answer is y = \\boxed{79}.",
"index": 504,
"question": "Suppose a collection of variables is related by the following definitions: u = f + 20; g = v + 2; s = u + 1; q = s + 5; l = g + 18; p = 4; v = p + 2; f = x + 11; x = m + 14; w = l + 20; y = d + 20; d = w + 13; m = p + 20. Given that p = 4, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"y": "w + 12", "f": "y + 4", "k": "f + 13", "q": "k + 19", "u": "q + 13", "z": "u + 11", "b": "w + 5", "a": "b + 1", "j": "a + 14", "r": "j + 5", "t": "r + 6", "p": "t + 2", "w": 11}, "premises": {"w": 11}, "target": "z"}, "answer": {"steps": [["u", "q + 13", "q + 24"], ["q", "k + 19", "k + 43"], ["k", "f + 13", "f + 56"], ["f", "y + 4", "y + 60"], ["y", "w + 12", "w + 72"], ["w", 11, "83"]], "target_var_name": "z", "target_value": 83, "value_dict": {"w": 11}, "is_reverse": true}}
| 505
| 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 = 11; r = j + 5; p = t + 2; y = w + 12; u = q + 13; b = w + 5; j = a + 14; q = k + 19; z = u + 11; k = f + 13; a = b + 1; f = y + 4; t = r + 6. If w = 11, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = q + 13 to z, which gives z = q + 24.\n2. Substitute q = k + 19 to z, which gives z = k + 43.\n3. Substitute k = f + 13 to z, which gives z = f + 56.\n4. Substitute f = y + 4 to z, which gives z = y + 60.\n5. Substitute y = w + 12 to z, which gives z = w + 72.\n6. Substitute w = 11 to z, which gives z = 83.\n\nThus, the final answer is z = \\boxed{83}.",
"index": 505,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = 11; r = j + 5; p = t + 2; y = w + 12; u = q + 13; b = w + 5; j = a + 14; q = k + 19; z = u + 11; k = f + 13; a = b + 1; f = y + 4; t = r + 6. If w = 11, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"d": "i + 10", "j": "d + 15", "x": "j + 20", "l": "x + 17", "v": "l + 20", "e": "v + 5", "n": "i + 4", "b": "n + 19", "t": "b + 11", "a": "t + 4", "g": "a + 6", "w": "g + 4", "i": 20}, "premises": {"i": 20}, "target": "e"}, "answer": {"steps": [["v", "l + 20", "l + 25"], ["l", "x + 17", "x + 42"], ["x", "j + 20", "j + 62"], ["j", "d + 15", "d + 77"], ["d", "i + 10", "i + 87"], ["i", 20, "107"]], "target_var_name": "e", "target_value": 107, "value_dict": {"i": 20}, "is_reverse": true}}
| 506
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = d + 15; v = l + 20; e = v + 5; t = b + 11; a = t + 4; b = n + 19; d = i + 10; i = 20; n = i + 4; w = g + 4; x = j + 20; g = a + 6; l = x + 17. If i = 20, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 107,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = l + 20 to e, which gives e = l + 25.\n2. Substitute l = x + 17 to e, which gives e = x + 42.\n3. Substitute x = j + 20 to e, which gives e = j + 62.\n4. Substitute j = d + 15 to e, which gives e = d + 77.\n5. Substitute d = i + 10 to e, which gives e = i + 87.\n6. Substitute i = 20 to e, which gives e = 107.\n\nThus, the final answer is e = \\boxed{107}.",
"index": 506,
"question": "Consider a system of variables where each variable is defined as follows: j = d + 15; v = l + 20; e = v + 5; t = b + 11; a = t + 4; b = n + 19; d = i + 10; i = 20; n = i + 4; w = g + 4; x = j + 20; g = a + 6; l = x + 17. If i = 20, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"t": "s + 12", "q": "t + 6", "m": "q + 15", "z": "m + 8", "x": "z + 17", "a": "x + 16", "o": "s + 10", "n": "o + 11", "i": "n + 14", "l": "i + 12", "k": "l + 8", "r": "k + 10", "s": 9}, "premises": {"s": 9}, "target": "a"}, "answer": {"steps": [["x", "z + 17", "z + 33"], ["z", "m + 8", "m + 41"], ["m", "q + 15", "q + 56"], ["q", "t + 6", "t + 62"], ["t", "s + 12", "s + 74"], ["s", 9, "83"]], "target_var_name": "a", "target_value": 83, "value_dict": {"s": 9}, "is_reverse": true}}
| 507
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = m + 8; n = o + 11; t = s + 12; l = i + 12; s = 9; k = l + 8; q = t + 6; r = k + 10; m = q + 15; i = n + 14; a = x + 16; x = z + 17; o = s + 10. If s = 9, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = z + 17 to a, which gives a = z + 33.\n2. Substitute z = m + 8 to a, which gives a = m + 41.\n3. Substitute m = q + 15 to a, which gives a = q + 56.\n4. Substitute q = t + 6 to a, which gives a = t + 62.\n5. Substitute t = s + 12 to a, which gives a = s + 74.\n6. Substitute s = 9 to a, which gives a = 83.\n\nThus, the final answer is a = \\boxed{83}.",
"index": 507,
"question": "Consider a system of variables where each variable is defined as follows: z = m + 8; n = o + 11; t = s + 12; l = i + 12; s = 9; k = l + 8; q = t + 6; r = k + 10; m = q + 15; i = n + 14; a = x + 16; x = z + 17; o = s + 10. If s = 9, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"z": "w + 11", "g": "z + 10", "j": "g + 14", "e": "j + 16", "s": "e + 12", "r": "s + 18", "h": "w + 17", "k": "h + 1", "d": "k + 9", "t": "d + 19", "c": "t + 16", "i": "c + 13", "w": 13}, "premises": {"w": 13}, "target": "r"}, "answer": {"steps": [["s", "e + 12", "e + 30"], ["e", "j + 16", "j + 46"], ["j", "g + 14", "g + 60"], ["g", "z + 10", "z + 70"], ["z", "w + 11", "w + 81"], ["w", 13, "94"]], "target_var_name": "r", "target_value": 94, "value_dict": {"w": 13}, "is_reverse": true}}
| 508
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = z + 10; r = s + 18; e = j + 16; t = d + 19; z = w + 11; c = t + 16; w = 13; d = k + 9; k = h + 1; s = e + 12; h = w + 17; i = c + 13; j = g + 14. Given that w = 13, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = e + 12 to r, which gives r = e + 30.\n2. Substitute e = j + 16 to r, which gives r = j + 46.\n3. Substitute j = g + 14 to r, which gives r = g + 60.\n4. Substitute g = z + 10 to r, which gives r = z + 70.\n5. Substitute z = w + 11 to r, which gives r = w + 81.\n6. Substitute w = 13 to r, which gives r = 94.\n\nThus, the final answer is r = \\boxed{94}.",
"index": 508,
"question": "Suppose a collection of variables is related by the following definitions: g = z + 10; r = s + 18; e = j + 16; t = d + 19; z = w + 11; c = t + 16; w = 13; d = k + 9; k = h + 1; s = e + 12; h = w + 17; i = c + 13; j = g + 14. Given that w = 13, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"a": "b + 8", "j": "a + 8", "s": "j + 9", "u": "s + 11", "d": "u + 18", "q": "d + 9", "l": "b + 10", "g": "l + 3", "c": "g + 15", "y": "c + 12", "i": "y + 8", "t": "i + 6", "b": 13}, "premises": {"b": 13}, "target": "q"}, "answer": {"steps": [["d", "u + 18", "u + 27"], ["u", "s + 11", "s + 38"], ["s", "j + 9", "j + 47"], ["j", "a + 8", "a + 55"], ["a", "b + 8", "b + 63"], ["b", 13, "76"]], "target_var_name": "q", "target_value": 76, "value_dict": {"b": 13}, "is_reverse": true}}
| 509
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = u + 18; l = b + 10; j = a + 8; y = c + 12; b = 13; g = l + 3; c = g + 15; s = j + 9; a = b + 8; u = s + 11; q = d + 9; t = i + 6; i = y + 8. If b = 13, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = u + 18 to q, which gives q = u + 27.\n2. Substitute u = s + 11 to q, which gives q = s + 38.\n3. Substitute s = j + 9 to q, which gives q = j + 47.\n4. Substitute j = a + 8 to q, which gives q = a + 55.\n5. Substitute a = b + 8 to q, which gives q = b + 63.\n6. Substitute b = 13 to q, which gives q = 76.\n\nThus, the final answer is q = \\boxed{76}.",
"index": 509,
"question": "Consider a system of variables where each variable is defined as follows: d = u + 18; l = b + 10; j = a + 8; y = c + 12; b = 13; g = l + 3; c = g + 15; s = j + 9; a = b + 8; u = s + 11; q = d + 9; t = i + 6; i = y + 8. If b = 13, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"e": "s + 17", "b": "e + 2", "j": "b + 18", "t": "j + 8", "a": "t + 20", "f": "a + 9", "y": "s + 16", "q": "y + 11", "u": "q + 13", "z": "u + 13", "m": "z + 1", "l": "m + 13", "s": 4}, "premises": {"s": 4}, "target": "f"}, "answer": {"steps": [["a", "t + 20", "t + 29"], ["t", "j + 8", "j + 37"], ["j", "b + 18", "b + 55"], ["b", "e + 2", "e + 57"], ["e", "s + 17", "s + 74"], ["s", 4, "78"]], "target_var_name": "f", "target_value": 78, "value_dict": {"s": 4}, "is_reverse": true}}
| 510
| 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 + 13; f = a + 9; a = t + 20; z = u + 13; s = 4; l = m + 13; m = z + 1; j = b + 18; y = s + 16; b = e + 2; t = j + 8; q = y + 11; e = s + 17. If s = 4, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = t + 20 to f, which gives f = t + 29.\n2. Substitute t = j + 8 to f, which gives f = j + 37.\n3. Substitute j = b + 18 to f, which gives f = b + 55.\n4. Substitute b = e + 2 to f, which gives f = e + 57.\n5. Substitute e = s + 17 to f, which gives f = s + 74.\n6. Substitute s = 4 to f, which gives f = 78.\n\nThus, the final answer is f = \\boxed{78}.",
"index": 510,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = q + 13; f = a + 9; a = t + 20; z = u + 13; s = 4; l = m + 13; m = z + 1; j = b + 18; y = s + 16; b = e + 2; t = j + 8; q = y + 11; e = s + 17. If s = 4, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"h": "u + 15", "z": "h + 20", "s": "z + 15", "t": "s + 20", "o": "t + 5", "a": "o + 17", "c": "u + 19", "r": "c + 18", "w": "r + 19", "e": "w + 5", "n": "e + 16", "f": "n + 10", "u": 1}, "premises": {"u": 1}, "target": "a"}, "answer": {"steps": [["o", "t + 5", "t + 22"], ["t", "s + 20", "s + 42"], ["s", "z + 15", "z + 57"], ["z", "h + 20", "h + 77"], ["h", "u + 15", "u + 92"], ["u", 1, "93"]], "target_var_name": "a", "target_value": 93, "value_dict": {"u": 1}, "is_reverse": true}}
| 511
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = u + 19; f = n + 10; h = u + 15; a = o + 17; e = w + 5; w = r + 19; n = e + 16; u = 1; z = h + 20; r = c + 18; t = s + 20; o = t + 5; s = z + 15. Given that u = 1, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = t + 5 to a, which gives a = t + 22.\n2. Substitute t = s + 20 to a, which gives a = s + 42.\n3. Substitute s = z + 15 to a, which gives a = z + 57.\n4. Substitute z = h + 20 to a, which gives a = h + 77.\n5. Substitute h = u + 15 to a, which gives a = u + 92.\n6. Substitute u = 1 to a, which gives a = 93.\n\nThus, the final answer is a = \\boxed{93}.",
"index": 511,
"question": "Suppose a collection of variables is related by the following definitions: c = u + 19; f = n + 10; h = u + 15; a = o + 17; e = w + 5; w = r + 19; n = e + 16; u = 1; z = h + 20; r = c + 18; t = s + 20; o = t + 5; s = z + 15. Given that u = 1, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"m": "r + 7", "w": "m + 17", "g": "w + 17", "y": "g + 6", "q": "y + 11", "v": "q + 14", "d": "r + 9", "x": "d + 20", "c": "x + 10", "l": "c + 20", "z": "l + 11", "e": "z + 7", "r": 10}, "premises": {"r": 10}, "target": "v"}, "answer": {"steps": [["q", "y + 11", "y + 25"], ["y", "g + 6", "g + 31"], ["g", "w + 17", "w + 48"], ["w", "m + 17", "m + 65"], ["m", "r + 7", "r + 72"], ["r", 10, "82"]], "target_var_name": "v", "target_value": 82, "value_dict": {"r": 10}, "is_reverse": true}}
| 512
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = l + 11; v = q + 14; e = z + 7; w = m + 17; y = g + 6; c = x + 10; d = r + 9; m = r + 7; l = c + 20; r = 10; x = d + 20; g = w + 17; q = y + 11. Given that r = 10, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = y + 11 to v, which gives v = y + 25.\n2. Substitute y = g + 6 to v, which gives v = g + 31.\n3. Substitute g = w + 17 to v, which gives v = w + 48.\n4. Substitute w = m + 17 to v, which gives v = m + 65.\n5. Substitute m = r + 7 to v, which gives v = r + 72.\n6. Substitute r = 10 to v, which gives v = 82.\n\nThus, the final answer is v = \\boxed{82}.",
"index": 512,
"question": "Suppose a collection of variables is related by the following definitions: z = l + 11; v = q + 14; e = z + 7; w = m + 17; y = g + 6; c = x + 10; d = r + 9; m = r + 7; l = c + 20; r = 10; x = d + 20; g = w + 17; q = y + 11. Given that r = 10, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"j": "t + 2", "n": "j + 4", "o": "n + 7", "y": "o + 1", "g": "y + 20", "q": "g + 13", "c": "t + 4", "v": "c + 10", "s": "v + 10", "b": "s + 15", "f": "b + 14", "w": "f + 14", "t": 16}, "premises": {"t": 16}, "target": "q"}, "answer": {"steps": [["g", "y + 20", "y + 33"], ["y", "o + 1", "o + 34"], ["o", "n + 7", "n + 41"], ["n", "j + 4", "j + 45"], ["j", "t + 2", "t + 47"], ["t", 16, "63"]], "target_var_name": "q", "target_value": 63, "value_dict": {"t": 16}, "is_reverse": true}}
| 513
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = 16; g = y + 20; b = s + 15; y = o + 1; f = b + 14; q = g + 13; v = c + 10; w = f + 14; c = t + 4; j = t + 2; o = n + 7; s = v + 10; n = j + 4. Given that t = 16, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = y + 20 to q, which gives q = y + 33.\n2. Substitute y = o + 1 to q, which gives q = o + 34.\n3. Substitute o = n + 7 to q, which gives q = n + 41.\n4. Substitute n = j + 4 to q, which gives q = j + 45.\n5. Substitute j = t + 2 to q, which gives q = t + 47.\n6. Substitute t = 16 to q, which gives q = 63.\n\nThus, the final answer is q = \\boxed{63}.",
"index": 513,
"question": "Suppose a collection of variables is related by the following definitions: t = 16; g = y + 20; b = s + 15; y = o + 1; f = b + 14; q = g + 13; v = c + 10; w = f + 14; c = t + 4; j = t + 2; o = n + 7; s = v + 10; n = j + 4. Given that t = 16, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"u": "c + 11", "b": "u + 5", "z": "b + 17", "j": "z + 6", "f": "j + 16", "p": "f + 20", "h": "c + 8", "y": "h + 13", "t": "y + 1", "i": "t + 5", "e": "i + 5", "o": "e + 12", "c": 9}, "premises": {"c": 9}, "target": "p"}, "answer": {"steps": [["f", "j + 16", "j + 36"], ["j", "z + 6", "z + 42"], ["z", "b + 17", "b + 59"], ["b", "u + 5", "u + 64"], ["u", "c + 11", "c + 75"], ["c", 9, "84"]], "target_var_name": "p", "target_value": 84, "value_dict": {"c": 9}, "is_reverse": true}}
| 514
| 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 = j + 16; o = e + 12; y = h + 13; z = b + 17; t = y + 1; c = 9; e = i + 5; i = t + 5; u = c + 11; b = u + 5; p = f + 20; h = c + 8; j = z + 6. If c = 9, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = j + 16 to p, which gives p = j + 36.\n2. Substitute j = z + 6 to p, which gives p = z + 42.\n3. Substitute z = b + 17 to p, which gives p = b + 59.\n4. Substitute b = u + 5 to p, which gives p = u + 64.\n5. Substitute u = c + 11 to p, which gives p = c + 75.\n6. Substitute c = 9 to p, which gives p = 84.\n\nThus, the final answer is p = \\boxed{84}.",
"index": 514,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = j + 16; o = e + 12; y = h + 13; z = b + 17; t = y + 1; c = 9; e = i + 5; i = t + 5; u = c + 11; b = u + 5; p = f + 20; h = c + 8; j = z + 6. If c = 9, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"h": "n + 1", "e": "h + 15", "b": "e + 18", "w": "b + 16", "f": "w + 12", "z": "f + 11", "i": "n + 20", "x": "i + 17", "t": "x + 6", "y": "t + 1", "j": "y + 18", "k": "j + 16", "n": 20}, "premises": {"n": 20}, "target": "z"}, "answer": {"steps": [["f", "w + 12", "w + 23"], ["w", "b + 16", "b + 39"], ["b", "e + 18", "e + 57"], ["e", "h + 15", "h + 72"], ["h", "n + 1", "n + 73"], ["n", 20, "93"]], "target_var_name": "z", "target_value": 93, "value_dict": {"n": 20}, "is_reverse": true}}
| 515
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = f + 11; f = w + 12; n = 20; w = b + 16; j = y + 18; e = h + 15; x = i + 17; y = t + 1; h = n + 1; k = j + 16; i = n + 20; t = x + 6; b = e + 18. If n = 20, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = w + 12 to z, which gives z = w + 23.\n2. Substitute w = b + 16 to z, which gives z = b + 39.\n3. Substitute b = e + 18 to z, which gives z = e + 57.\n4. Substitute e = h + 15 to z, which gives z = h + 72.\n5. Substitute h = n + 1 to z, which gives z = n + 73.\n6. Substitute n = 20 to z, which gives z = 93.\n\nThus, the final answer is z = \\boxed{93}.",
"index": 515,
"question": "Consider a system of variables where each variable is defined as follows: z = f + 11; f = w + 12; n = 20; w = b + 16; j = y + 18; e = h + 15; x = i + 17; y = t + 1; h = n + 1; k = j + 16; i = n + 20; t = x + 6; b = e + 18. If n = 20, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"w": "t + 13", "b": "w + 18", "r": "b + 9", "i": "r + 6", "y": "i + 1", "g": "y + 7", "m": "t + 19", "d": "m + 12", "l": "d + 18", "s": "l + 16", "x": "s + 14", "a": "x + 8", "t": 16}, "premises": {"t": 16}, "target": "g"}, "answer": {"steps": [["y", "i + 1", "i + 8"], ["i", "r + 6", "r + 14"], ["r", "b + 9", "b + 23"], ["b", "w + 18", "w + 41"], ["w", "t + 13", "t + 54"], ["t", 16, "70"]], "target_var_name": "g", "target_value": 70, "value_dict": {"t": 16}, "is_reverse": true}}
| 516
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = m + 12; a = x + 8; t = 16; m = t + 19; x = s + 14; i = r + 6; w = t + 13; b = w + 18; g = y + 7; s = l + 16; r = b + 9; l = d + 18; y = i + 1. If t = 16, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = i + 1 to g, which gives g = i + 8.\n2. Substitute i = r + 6 to g, which gives g = r + 14.\n3. Substitute r = b + 9 to g, which gives g = b + 23.\n4. Substitute b = w + 18 to g, which gives g = w + 41.\n5. Substitute w = t + 13 to g, which gives g = t + 54.\n6. Substitute t = 16 to g, which gives g = 70.\n\nThus, the final answer is g = \\boxed{70}.",
"index": 516,
"question": "Consider a system of variables where each variable is defined as follows: d = m + 12; a = x + 8; t = 16; m = t + 19; x = s + 14; i = r + 6; w = t + 13; b = w + 18; g = y + 7; s = l + 16; r = b + 9; l = d + 18; y = i + 1. If t = 16, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"i": "t + 9", "w": "i + 6", "r": "w + 3", "z": "r + 12", "v": "z + 8", "x": "v + 17", "b": "t + 4", "o": "b + 7", "f": "o + 11", "u": "f + 6", "c": "u + 15", "m": "c + 1", "t": 11}, "premises": {"t": 11}, "target": "x"}, "answer": {"steps": [["v", "z + 8", "z + 25"], ["z", "r + 12", "r + 37"], ["r", "w + 3", "w + 40"], ["w", "i + 6", "i + 46"], ["i", "t + 9", "t + 55"], ["t", 11, "66"]], "target_var_name": "x", "target_value": 66, "value_dict": {"t": 11}, "is_reverse": true}}
| 517
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = b + 7; t = 11; m = c + 1; c = u + 15; x = v + 17; w = i + 6; z = r + 12; i = t + 9; u = f + 6; f = o + 11; v = z + 8; r = w + 3; b = t + 4. Given that t = 11, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = z + 8 to x, which gives x = z + 25.\n2. Substitute z = r + 12 to x, which gives x = r + 37.\n3. Substitute r = w + 3 to x, which gives x = w + 40.\n4. Substitute w = i + 6 to x, which gives x = i + 46.\n5. Substitute i = t + 9 to x, which gives x = t + 55.\n6. Substitute t = 11 to x, which gives x = 66.\n\nThus, the final answer is x = \\boxed{66}.",
"index": 517,
"question": "Suppose a collection of variables is related by the following definitions: o = b + 7; t = 11; m = c + 1; c = u + 15; x = v + 17; w = i + 6; z = r + 12; i = t + 9; u = f + 6; f = o + 11; v = z + 8; r = w + 3; b = t + 4. Given that t = 11, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"a": "o + 13", "t": "a + 16", "c": "t + 12", "i": "c + 18", "m": "i + 12", "u": "m + 11", "l": "o + 5", "x": "l + 17", "s": "x + 5", "p": "s + 5", "n": "p + 16", "z": "n + 17", "o": 9}, "premises": {"o": 9}, "target": "u"}, "answer": {"steps": [["m", "i + 12", "i + 23"], ["i", "c + 18", "c + 41"], ["c", "t + 12", "t + 53"], ["t", "a + 16", "a + 69"], ["a", "o + 13", "o + 82"], ["o", 9, "91"]], "target_var_name": "u", "target_value": 91, "value_dict": {"o": 9}, "is_reverse": true}}
| 518
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = o + 13; o = 9; x = l + 17; n = p + 16; c = t + 12; i = c + 18; z = n + 17; u = m + 11; p = s + 5; l = o + 5; s = x + 5; m = i + 12; t = a + 16. Given that o = 9, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = i + 12 to u, which gives u = i + 23.\n2. Substitute i = c + 18 to u, which gives u = c + 41.\n3. Substitute c = t + 12 to u, which gives u = t + 53.\n4. Substitute t = a + 16 to u, which gives u = a + 69.\n5. Substitute a = o + 13 to u, which gives u = o + 82.\n6. Substitute o = 9 to u, which gives u = 91.\n\nThus, the final answer is u = \\boxed{91}.",
"index": 518,
"question": "Suppose a collection of variables is related by the following definitions: a = o + 13; o = 9; x = l + 17; n = p + 16; c = t + 12; i = c + 18; z = n + 17; u = m + 11; p = s + 5; l = o + 5; s = x + 5; m = i + 12; t = a + 16. Given that o = 9, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"z": "d + 11", "x": "z + 4", "e": "x + 16", "n": "e + 3", "j": "n + 18", "b": "j + 20", "o": "d + 11", "l": "o + 4", "r": "l + 6", "w": "r + 3", "y": "w + 8", "g": "y + 1", "d": 7}, "premises": {"d": 7}, "target": "b"}, "answer": {"steps": [["j", "n + 18", "n + 38"], ["n", "e + 3", "e + 41"], ["e", "x + 16", "x + 57"], ["x", "z + 4", "z + 61"], ["z", "d + 11", "d + 72"], ["d", 7, "79"]], "target_var_name": "b", "target_value": 79, "value_dict": {"d": 7}, "is_reverse": true}}
| 519
| 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 = x + 16; j = n + 18; y = w + 8; n = e + 3; g = y + 1; l = o + 4; r = l + 6; z = d + 11; d = 7; w = r + 3; b = j + 20; x = z + 4; o = d + 11. If d = 7, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = n + 18 to b, which gives b = n + 38.\n2. Substitute n = e + 3 to b, which gives b = e + 41.\n3. Substitute e = x + 16 to b, which gives b = x + 57.\n4. Substitute x = z + 4 to b, which gives b = z + 61.\n5. Substitute z = d + 11 to b, which gives b = d + 72.\n6. Substitute d = 7 to b, which gives b = 79.\n\nThus, the final answer is b = \\boxed{79}.",
"index": 519,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = x + 16; j = n + 18; y = w + 8; n = e + 3; g = y + 1; l = o + 4; r = l + 6; z = d + 11; d = 7; w = r + 3; b = j + 20; x = z + 4; o = d + 11. If d = 7, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"w": "b + 19", "q": "w + 7", "l": "q + 5", "u": "l + 20", "f": "u + 1", "o": "f + 19", "j": "b + 19", "v": "j + 11", "r": "v + 5", "t": "r + 17", "g": "t + 2", "e": "g + 7", "b": 17}, "premises": {"b": 17}, "target": "o"}, "answer": {"steps": [["f", "u + 1", "u + 20"], ["u", "l + 20", "l + 40"], ["l", "q + 5", "q + 45"], ["q", "w + 7", "w + 52"], ["w", "b + 19", "b + 71"], ["b", 17, "88"]], "target_var_name": "o", "target_value": 88, "value_dict": {"b": 17}, "is_reverse": true}}
| 520
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = l + 20; e = g + 7; f = u + 1; j = b + 19; o = f + 19; l = q + 5; w = b + 19; q = w + 7; b = 17; g = t + 2; v = j + 11; r = v + 5; t = r + 17. If b = 17, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = u + 1 to o, which gives o = u + 20.\n2. Substitute u = l + 20 to o, which gives o = l + 40.\n3. Substitute l = q + 5 to o, which gives o = q + 45.\n4. Substitute q = w + 7 to o, which gives o = w + 52.\n5. Substitute w = b + 19 to o, which gives o = b + 71.\n6. Substitute b = 17 to o, which gives o = 88.\n\nThus, the final answer is o = \\boxed{88}.",
"index": 520,
"question": "Consider a system of variables where each variable is defined as follows: u = l + 20; e = g + 7; f = u + 1; j = b + 19; o = f + 19; l = q + 5; w = b + 19; q = w + 7; b = 17; g = t + 2; v = j + 11; r = v + 5; t = r + 17. If b = 17, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"z": "d + 19", "i": "z + 15", "q": "i + 5", "n": "q + 13", "u": "n + 1", "p": "u + 16", "g": "d + 15", "o": "g + 1", "h": "o + 9", "b": "h + 11", "k": "b + 16", "r": "k + 9", "d": 15}, "premises": {"d": 15}, "target": "p"}, "answer": {"steps": [["u", "n + 1", "n + 17"], ["n", "q + 13", "q + 30"], ["q", "i + 5", "i + 35"], ["i", "z + 15", "z + 50"], ["z", "d + 19", "d + 69"], ["d", 15, "84"]], "target_var_name": "p", "target_value": 84, "value_dict": {"d": 15}, "is_reverse": true}}
| 521
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = z + 15; b = h + 11; u = n + 1; r = k + 9; n = q + 13; p = u + 16; o = g + 1; z = d + 19; g = d + 15; d = 15; q = i + 5; h = o + 9; k = b + 16. Given that d = 15, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = n + 1 to p, which gives p = n + 17.\n2. Substitute n = q + 13 to p, which gives p = q + 30.\n3. Substitute q = i + 5 to p, which gives p = i + 35.\n4. Substitute i = z + 15 to p, which gives p = z + 50.\n5. Substitute z = d + 19 to p, which gives p = d + 69.\n6. Substitute d = 15 to p, which gives p = 84.\n\nThus, the final answer is p = \\boxed{84}.",
"index": 521,
"question": "Suppose a collection of variables is related by the following definitions: i = z + 15; b = h + 11; u = n + 1; r = k + 9; n = q + 13; p = u + 16; o = g + 1; z = d + 19; g = d + 15; d = 15; q = i + 5; h = o + 9; k = b + 16. Given that d = 15, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"m": "v + 17", "o": "m + 9", "k": "o + 1", "u": "k + 2", "a": "u + 12", "p": "a + 11", "f": "v + 13", "d": "f + 2", "z": "d + 7", "b": "z + 2", "j": "b + 1", "s": "j + 16", "v": 1}, "premises": {"v": 1}, "target": "p"}, "answer": {"steps": [["a", "u + 12", "u + 23"], ["u", "k + 2", "k + 25"], ["k", "o + 1", "o + 26"], ["o", "m + 9", "m + 35"], ["m", "v + 17", "v + 52"], ["v", 1, "53"]], "target_var_name": "p", "target_value": 53, "value_dict": {"v": 1}, "is_reverse": true}}
| 522
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = z + 2; s = j + 16; o = m + 9; d = f + 2; z = d + 7; f = v + 13; m = v + 17; v = 1; j = b + 1; p = a + 11; a = u + 12; k = o + 1; u = k + 2. If v = 1, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = u + 12 to p, which gives p = u + 23.\n2. Substitute u = k + 2 to p, which gives p = k + 25.\n3. Substitute k = o + 1 to p, which gives p = o + 26.\n4. Substitute o = m + 9 to p, which gives p = m + 35.\n5. Substitute m = v + 17 to p, which gives p = v + 52.\n6. Substitute v = 1 to p, which gives p = 53.\n\nThus, the final answer is p = \\boxed{53}.",
"index": 522,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = z + 2; s = j + 16; o = m + 9; d = f + 2; z = d + 7; f = v + 13; m = v + 17; v = 1; j = b + 1; p = a + 11; a = u + 12; k = o + 1; u = k + 2. If v = 1, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"y": "j + 16", "d": "y + 15", "z": "d + 19", "u": "z + 1", "f": "u + 8", "b": "f + 15", "g": "j + 9", "x": "g + 3", "l": "x + 8", "p": "l + 15", "w": "p + 17", "h": "w + 16", "j": 20}, "premises": {"j": 20}, "target": "b"}, "answer": {"steps": [["f", "u + 8", "u + 23"], ["u", "z + 1", "z + 24"], ["z", "d + 19", "d + 43"], ["d", "y + 15", "y + 58"], ["y", "j + 16", "j + 74"], ["j", 20, "94"]], "target_var_name": "b", "target_value": 94, "value_dict": {"j": 20}, "is_reverse": true}}
| 523
| 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 = p + 17; h = w + 16; p = l + 15; d = y + 15; u = z + 1; f = u + 8; j = 20; g = j + 9; b = f + 15; z = d + 19; l = x + 8; x = g + 3; y = j + 16. If j = 20, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = u + 8 to b, which gives b = u + 23.\n2. Substitute u = z + 1 to b, which gives b = z + 24.\n3. Substitute z = d + 19 to b, which gives b = d + 43.\n4. Substitute d = y + 15 to b, which gives b = y + 58.\n5. Substitute y = j + 16 to b, which gives b = j + 74.\n6. Substitute j = 20 to b, which gives b = 94.\n\nThus, the final answer is b = \\boxed{94}.",
"index": 523,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = p + 17; h = w + 16; p = l + 15; d = y + 15; u = z + 1; f = u + 8; j = 20; g = j + 9; b = f + 15; z = d + 19; l = x + 8; x = g + 3; y = j + 16. If j = 20, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"s": "c + 8", "m": "s + 20", "l": "m + 16", "a": "l + 16", "h": "a + 9", "e": "h + 8", "f": "c + 5", "w": "f + 3", "t": "w + 8", "k": "t + 15", "n": "k + 20", "r": "n + 7", "c": 18}, "premises": {"c": 18}, "target": "e"}, "answer": {"steps": [["h", "a + 9", "a + 17"], ["a", "l + 16", "l + 33"], ["l", "m + 16", "m + 49"], ["m", "s + 20", "s + 69"], ["s", "c + 8", "c + 77"], ["c", 18, "95"]], "target_var_name": "e", "target_value": 95, "value_dict": {"c": 18}, "is_reverse": true}}
| 524
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = w + 8; r = n + 7; c = 18; e = h + 8; l = m + 16; n = k + 20; k = t + 15; f = c + 5; a = l + 16; w = f + 3; m = s + 20; h = a + 9; s = c + 8. Given that c = 18, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = a + 9 to e, which gives e = a + 17.\n2. Substitute a = l + 16 to e, which gives e = l + 33.\n3. Substitute l = m + 16 to e, which gives e = m + 49.\n4. Substitute m = s + 20 to e, which gives e = s + 69.\n5. Substitute s = c + 8 to e, which gives e = c + 77.\n6. Substitute c = 18 to e, which gives e = 95.\n\nThus, the final answer is e = \\boxed{95}.",
"index": 524,
"question": "Suppose a collection of variables is related by the following definitions: t = w + 8; r = n + 7; c = 18; e = h + 8; l = m + 16; n = k + 20; k = t + 15; f = c + 5; a = l + 16; w = f + 3; m = s + 20; h = a + 9; s = c + 8. Given that c = 18, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"d": "n + 16", "x": "d + 19", "b": "x + 17", "t": "b + 10", "r": "t + 14", "z": "r + 13", "l": "n + 4", "g": "l + 3", "j": "g + 3", "i": "j + 13", "k": "i + 15", "a": "k + 16", "n": 12}, "premises": {"n": 12}, "target": "z"}, "answer": {"steps": [["r", "t + 14", "t + 27"], ["t", "b + 10", "b + 37"], ["b", "x + 17", "x + 54"], ["x", "d + 19", "d + 73"], ["d", "n + 16", "n + 89"], ["n", 12, "101"]], "target_var_name": "z", "target_value": 101, "value_dict": {"n": 12}, "is_reverse": true}}
| 525
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = i + 15; g = l + 3; l = n + 4; i = j + 13; x = d + 19; z = r + 13; r = t + 14; d = n + 16; n = 12; t = b + 10; j = g + 3; b = x + 17; a = k + 16. If n = 12, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 101,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = t + 14 to z, which gives z = t + 27.\n2. Substitute t = b + 10 to z, which gives z = b + 37.\n3. Substitute b = x + 17 to z, which gives z = x + 54.\n4. Substitute x = d + 19 to z, which gives z = d + 73.\n5. Substitute d = n + 16 to z, which gives z = n + 89.\n6. Substitute n = 12 to z, which gives z = 101.\n\nThus, the final answer is z = \\boxed{101}.",
"index": 525,
"question": "Consider a system of variables where each variable is defined as follows: k = i + 15; g = l + 3; l = n + 4; i = j + 13; x = d + 19; z = r + 13; r = t + 14; d = n + 16; n = 12; t = b + 10; j = g + 3; b = x + 17; a = k + 16. If n = 12, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"s": "c + 5", "q": "s + 16", "r": "q + 17", "p": "r + 1", "d": "p + 15", "m": "d + 3", "g": "c + 19", "o": "g + 16", "n": "o + 3", "i": "n + 2", "j": "i + 15", "x": "j + 13", "c": 8}, "premises": {"c": 8}, "target": "m"}, "answer": {"steps": [["d", "p + 15", "p + 18"], ["p", "r + 1", "r + 19"], ["r", "q + 17", "q + 36"], ["q", "s + 16", "s + 52"], ["s", "c + 5", "c + 57"], ["c", 8, "65"]], "target_var_name": "m", "target_value": 65, "value_dict": {"c": 8}, "is_reverse": true}}
| 526
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = d + 3; g = c + 19; j = i + 15; r = q + 17; c = 8; s = c + 5; p = r + 1; q = s + 16; i = n + 2; n = o + 3; x = j + 13; d = p + 15; o = g + 16. If c = 8, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = p + 15 to m, which gives m = p + 18.\n2. Substitute p = r + 1 to m, which gives m = r + 19.\n3. Substitute r = q + 17 to m, which gives m = q + 36.\n4. Substitute q = s + 16 to m, which gives m = s + 52.\n5. Substitute s = c + 5 to m, which gives m = c + 57.\n6. Substitute c = 8 to m, which gives m = 65.\n\nThus, the final answer is m = \\boxed{65}.",
"index": 526,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = d + 3; g = c + 19; j = i + 15; r = q + 17; c = 8; s = c + 5; p = r + 1; q = s + 16; i = n + 2; n = o + 3; x = j + 13; d = p + 15; o = g + 16. If c = 8, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"l": "r + 11", "e": "l + 7", "f": "e + 10", "v": "f + 14", "z": "v + 9", "t": "z + 2", "p": "r + 2", "d": "p + 9", "y": "d + 5", "b": "y + 13", "c": "b + 6", "o": "c + 15", "r": 15}, "premises": {"r": 15}, "target": "t"}, "answer": {"steps": [["z", "v + 9", "v + 11"], ["v", "f + 14", "f + 25"], ["f", "e + 10", "e + 35"], ["e", "l + 7", "l + 42"], ["l", "r + 11", "r + 53"], ["r", 15, "68"]], "target_var_name": "t", "target_value": 68, "value_dict": {"r": 15}, "is_reverse": true}}
| 527
| 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 = p + 9; p = r + 2; r = 15; c = b + 6; f = e + 10; v = f + 14; y = d + 5; z = v + 9; t = z + 2; l = r + 11; b = y + 13; o = c + 15; e = l + 7. If r = 15, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = v + 9 to t, which gives t = v + 11.\n2. Substitute v = f + 14 to t, which gives t = f + 25.\n3. Substitute f = e + 10 to t, which gives t = e + 35.\n4. Substitute e = l + 7 to t, which gives t = l + 42.\n5. Substitute l = r + 11 to t, which gives t = r + 53.\n6. Substitute r = 15 to t, which gives t = 68.\n\nThus, the final answer is t = \\boxed{68}.",
"index": 527,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = p + 9; p = r + 2; r = 15; c = b + 6; f = e + 10; v = f + 14; y = d + 5; z = v + 9; t = z + 2; l = r + 11; b = y + 13; o = c + 15; e = l + 7. If r = 15, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"h": "e + 17", "d": "h + 18", "y": "d + 14", "q": "y + 13", "k": "q + 10", "x": "k + 10", "j": "e + 3", "u": "j + 4", "w": "u + 6", "i": "w + 19", "z": "i + 4", "b": "z + 8", "e": 2}, "premises": {"e": 2}, "target": "x"}, "answer": {"steps": [["k", "q + 10", "q + 20"], ["q", "y + 13", "y + 33"], ["y", "d + 14", "d + 47"], ["d", "h + 18", "h + 65"], ["h", "e + 17", "e + 82"], ["e", 2, "84"]], "target_var_name": "x", "target_value": 84, "value_dict": {"e": 2}, "is_reverse": true}}
| 528
| 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 = e + 17; j = e + 3; u = j + 4; e = 2; b = z + 8; y = d + 14; i = w + 19; x = k + 10; q = y + 13; d = h + 18; w = u + 6; z = i + 4; k = q + 10. If e = 2, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = q + 10 to x, which gives x = q + 20.\n2. Substitute q = y + 13 to x, which gives x = y + 33.\n3. Substitute y = d + 14 to x, which gives x = d + 47.\n4. Substitute d = h + 18 to x, which gives x = h + 65.\n5. Substitute h = e + 17 to x, which gives x = e + 82.\n6. Substitute e = 2 to x, which gives x = 84.\n\nThus, the final answer is x = \\boxed{84}.",
"index": 528,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = e + 17; j = e + 3; u = j + 4; e = 2; b = z + 8; y = d + 14; i = w + 19; x = k + 10; q = y + 13; d = h + 18; w = u + 6; z = i + 4; k = q + 10. If e = 2, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"r": "d + 4", "j": "r + 10", "m": "j + 19", "h": "m + 3", "s": "h + 8", "z": "s + 1", "n": "d + 13", "c": "n + 17", "u": "c + 15", "o": "u + 19", "q": "o + 16", "k": "q + 4", "d": 12}, "premises": {"d": 12}, "target": "z"}, "answer": {"steps": [["s", "h + 8", "h + 9"], ["h", "m + 3", "m + 12"], ["m", "j + 19", "j + 31"], ["j", "r + 10", "r + 41"], ["r", "d + 4", "d + 45"], ["d", 12, "57"]], "target_var_name": "z", "target_value": 57, "value_dict": {"d": 12}, "is_reverse": true}}
| 529
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = h + 8; q = o + 16; k = q + 4; c = n + 17; d = 12; m = j + 19; h = m + 3; n = d + 13; z = s + 1; j = r + 10; r = d + 4; o = u + 19; u = c + 15. If d = 12, 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 s = h + 8 to z, which gives z = h + 9.\n2. Substitute h = m + 3 to z, which gives z = m + 12.\n3. Substitute m = j + 19 to z, which gives z = j + 31.\n4. Substitute j = r + 10 to z, which gives z = r + 41.\n5. Substitute r = d + 4 to z, which gives z = d + 45.\n6. Substitute d = 12 to z, which gives z = 57.\n\nThus, the final answer is z = \\boxed{57}.",
"index": 529,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = h + 8; q = o + 16; k = q + 4; c = n + 17; d = 12; m = j + 19; h = m + 3; n = d + 13; z = s + 1; j = r + 10; r = d + 4; o = u + 19; u = c + 15. If d = 12, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"z": "p + 9", "m": "z + 13", "i": "m + 15", "d": "i + 6", "l": "d + 19", "v": "l + 7", "h": "p + 12", "u": "h + 6", "k": "u + 15", "r": "k + 16", "o": "r + 16", "q": "o + 19", "p": 9}, "premises": {"p": 9}, "target": "v"}, "answer": {"steps": [["l", "d + 19", "d + 26"], ["d", "i + 6", "i + 32"], ["i", "m + 15", "m + 47"], ["m", "z + 13", "z + 60"], ["z", "p + 9", "p + 69"], ["p", 9, "78"]], "target_var_name": "v", "target_value": 78, "value_dict": {"p": 9}, "is_reverse": true}}
| 530
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = m + 15; h = p + 12; r = k + 16; k = u + 15; p = 9; d = i + 6; u = h + 6; l = d + 19; o = r + 16; z = p + 9; v = l + 7; q = o + 19; m = z + 13. If p = 9, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = d + 19 to v, which gives v = d + 26.\n2. Substitute d = i + 6 to v, which gives v = i + 32.\n3. Substitute i = m + 15 to v, which gives v = m + 47.\n4. Substitute m = z + 13 to v, which gives v = z + 60.\n5. Substitute z = p + 9 to v, which gives v = p + 69.\n6. Substitute p = 9 to v, which gives v = 78.\n\nThus, the final answer is v = \\boxed{78}.",
"index": 530,
"question": "Consider a system of variables where each variable is defined as follows: i = m + 15; h = p + 12; r = k + 16; k = u + 15; p = 9; d = i + 6; u = h + 6; l = d + 19; o = r + 16; z = p + 9; v = l + 7; q = o + 19; m = z + 13. If p = 9, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"f": "o + 13", "e": "f + 14", "c": "e + 16", "w": "c + 5", "h": "w + 2", "q": "h + 2", "j": "o + 6", "t": "j + 7", "n": "t + 1", "g": "n + 8", "u": "g + 19", "y": "u + 14", "o": 11}, "premises": {"o": 11}, "target": "q"}, "answer": {"steps": [["h", "w + 2", "w + 4"], ["w", "c + 5", "c + 9"], ["c", "e + 16", "e + 25"], ["e", "f + 14", "f + 39"], ["f", "o + 13", "o + 52"], ["o", 11, "63"]], "target_var_name": "q", "target_value": 63, "value_dict": {"o": 11}, "is_reverse": true}}
| 531
| 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 = t + 1; e = f + 14; q = h + 2; j = o + 6; h = w + 2; g = n + 8; f = o + 13; t = j + 7; w = c + 5; c = e + 16; y = u + 14; o = 11; u = g + 19. If o = 11, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = w + 2 to q, which gives q = w + 4.\n2. Substitute w = c + 5 to q, which gives q = c + 9.\n3. Substitute c = e + 16 to q, which gives q = e + 25.\n4. Substitute e = f + 14 to q, which gives q = f + 39.\n5. Substitute f = o + 13 to q, which gives q = o + 52.\n6. Substitute o = 11 to q, which gives q = 63.\n\nThus, the final answer is q = \\boxed{63}.",
"index": 531,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = t + 1; e = f + 14; q = h + 2; j = o + 6; h = w + 2; g = n + 8; f = o + 13; t = j + 7; w = c + 5; c = e + 16; y = u + 14; o = 11; u = g + 19. If o = 11, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"u": "t + 17", "r": "u + 12", "o": "r + 3", "w": "o + 3", "p": "w + 20", "m": "p + 19", "x": "t + 15", "j": "x + 18", "n": "j + 4", "l": "n + 6", "h": "l + 10", "s": "h + 8", "t": 20}, "premises": {"t": 20}, "target": "m"}, "answer": {"steps": [["p", "w + 20", "w + 39"], ["w", "o + 3", "o + 42"], ["o", "r + 3", "r + 45"], ["r", "u + 12", "u + 57"], ["u", "t + 17", "t + 74"], ["t", 20, "94"]], "target_var_name": "m", "target_value": 94, "value_dict": {"t": 20}, "is_reverse": true}}
| 532
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = j + 4; r = u + 12; w = o + 3; p = w + 20; l = n + 6; j = x + 18; t = 20; o = r + 3; h = l + 10; x = t + 15; m = p + 19; u = t + 17; s = h + 8. If t = 20, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = w + 20 to m, which gives m = w + 39.\n2. Substitute w = o + 3 to m, which gives m = o + 42.\n3. Substitute o = r + 3 to m, which gives m = r + 45.\n4. Substitute r = u + 12 to m, which gives m = u + 57.\n5. Substitute u = t + 17 to m, which gives m = t + 74.\n6. Substitute t = 20 to m, which gives m = 94.\n\nThus, the final answer is m = \\boxed{94}.",
"index": 532,
"question": "Consider a system of variables where each variable is defined as follows: n = j + 4; r = u + 12; w = o + 3; p = w + 20; l = n + 6; j = x + 18; t = 20; o = r + 3; h = l + 10; x = t + 15; m = p + 19; u = t + 17; s = h + 8. If t = 20, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"w": "q + 19", "c": "w + 14", "g": "c + 19", "i": "g + 20", "k": "i + 9", "s": "k + 11", "r": "q + 1", "y": "r + 2", "f": "y + 3", "j": "f + 1", "o": "j + 18", "a": "o + 14", "q": 4}, "premises": {"q": 4}, "target": "s"}, "answer": {"steps": [["k", "i + 9", "i + 20"], ["i", "g + 20", "g + 40"], ["g", "c + 19", "c + 59"], ["c", "w + 14", "w + 73"], ["w", "q + 19", "q + 92"], ["q", 4, "96"]], "target_var_name": "s", "target_value": 96, "value_dict": {"q": 4}, "is_reverse": true}}
| 533
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = g + 20; j = f + 1; o = j + 18; w = q + 19; f = y + 3; q = 4; s = k + 11; r = q + 1; y = r + 2; k = i + 9; g = c + 19; a = o + 14; c = w + 14. If q = 4, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 96,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = i + 9 to s, which gives s = i + 20.\n2. Substitute i = g + 20 to s, which gives s = g + 40.\n3. Substitute g = c + 19 to s, which gives s = c + 59.\n4. Substitute c = w + 14 to s, which gives s = w + 73.\n5. Substitute w = q + 19 to s, which gives s = q + 92.\n6. Substitute q = 4 to s, which gives s = 96.\n\nThus, the final answer is s = \\boxed{96}.",
"index": 533,
"question": "Consider a system of variables where each variable is defined as follows: i = g + 20; j = f + 1; o = j + 18; w = q + 19; f = y + 3; q = 4; s = k + 11; r = q + 1; y = r + 2; k = i + 9; g = c + 19; a = o + 14; c = w + 14. If q = 4, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"j": "w + 19", "k": "j + 7", "r": "k + 5", "d": "r + 15", "x": "d + 13", "e": "x + 11", "o": "w + 7", "l": "o + 9", "f": "l + 11", "u": "f + 4", "m": "u + 18", "n": "m + 4", "w": 15}, "premises": {"w": 15}, "target": "e"}, "answer": {"steps": [["x", "d + 13", "d + 24"], ["d", "r + 15", "r + 39"], ["r", "k + 5", "k + 44"], ["k", "j + 7", "j + 51"], ["j", "w + 19", "w + 70"], ["w", 15, "85"]], "target_var_name": "e", "target_value": 85, "value_dict": {"w": 15}, "is_reverse": true}}
| 534
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = l + 11; r = k + 5; u = f + 4; o = w + 7; e = x + 11; n = m + 4; j = w + 19; d = r + 15; l = o + 9; x = d + 13; w = 15; k = j + 7; m = u + 18. Given that w = 15, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = d + 13 to e, which gives e = d + 24.\n2. Substitute d = r + 15 to e, which gives e = r + 39.\n3. Substitute r = k + 5 to e, which gives e = k + 44.\n4. Substitute k = j + 7 to e, which gives e = j + 51.\n5. Substitute j = w + 19 to e, which gives e = w + 70.\n6. Substitute w = 15 to e, which gives e = 85.\n\nThus, the final answer is e = \\boxed{85}.",
"index": 534,
"question": "Suppose a collection of variables is related by the following definitions: f = l + 11; r = k + 5; u = f + 4; o = w + 7; e = x + 11; n = m + 4; j = w + 19; d = r + 15; l = o + 9; x = d + 13; w = 15; k = j + 7; m = u + 18. Given that w = 15, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"o": "e + 14", "f": "o + 1", "g": "f + 13", "q": "g + 10", "j": "q + 16", "w": "j + 15", "z": "e + 10", "d": "z + 19", "i": "d + 6", "h": "i + 5", "s": "h + 7", "c": "s + 18", "e": 16}, "premises": {"e": 16}, "target": "w"}, "answer": {"steps": [["j", "q + 16", "q + 31"], ["q", "g + 10", "g + 41"], ["g", "f + 13", "f + 54"], ["f", "o + 1", "o + 55"], ["o", "e + 14", "e + 69"], ["e", 16, "85"]], "target_var_name": "w", "target_value": 85, "value_dict": {"e": 16}, "is_reverse": true}}
| 535
| 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 = o + 1; j = q + 16; c = s + 18; z = e + 10; d = z + 19; i = d + 6; g = f + 13; q = g + 10; e = 16; s = h + 7; w = j + 15; h = i + 5; o = e + 14. If e = 16, 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 j = q + 16 to w, which gives w = q + 31.\n2. Substitute q = g + 10 to w, which gives w = g + 41.\n3. Substitute g = f + 13 to w, which gives w = f + 54.\n4. Substitute f = o + 1 to w, which gives w = o + 55.\n5. Substitute o = e + 14 to w, which gives w = e + 69.\n6. Substitute e = 16 to w, which gives w = 85.\n\nThus, the final answer is w = \\boxed{85}.",
"index": 535,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = o + 1; j = q + 16; c = s + 18; z = e + 10; d = z + 19; i = d + 6; g = f + 13; q = g + 10; e = 16; s = h + 7; w = j + 15; h = i + 5; o = e + 14. If e = 16, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"x": "e + 16", "r": "x + 3", "q": "r + 7", "y": "q + 16", "n": "y + 4", "s": "n + 4", "v": "e + 3", "k": "v + 10", "f": "k + 20", "g": "f + 15", "a": "g + 2", "m": "a + 11", "e": 8}, "premises": {"e": 8}, "target": "s"}, "answer": {"steps": [["n", "y + 4", "y + 8"], ["y", "q + 16", "q + 24"], ["q", "r + 7", "r + 31"], ["r", "x + 3", "x + 34"], ["x", "e + 16", "e + 50"], ["e", 8, "58"]], "target_var_name": "s", "target_value": 58, "value_dict": {"e": 8}, "is_reverse": true}}
| 536
| 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 = 8; s = n + 4; v = e + 3; f = k + 20; x = e + 16; n = y + 4; a = g + 2; r = x + 3; m = a + 11; q = r + 7; y = q + 16; k = v + 10; g = f + 15. If e = 8, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = y + 4 to s, which gives s = y + 8.\n2. Substitute y = q + 16 to s, which gives s = q + 24.\n3. Substitute q = r + 7 to s, which gives s = r + 31.\n4. Substitute r = x + 3 to s, which gives s = x + 34.\n5. Substitute x = e + 16 to s, which gives s = e + 50.\n6. Substitute e = 8 to s, which gives s = 58.\n\nThus, the final answer is s = \\boxed{58}.",
"index": 536,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = 8; s = n + 4; v = e + 3; f = k + 20; x = e + 16; n = y + 4; a = g + 2; r = x + 3; m = a + 11; q = r + 7; y = q + 16; k = v + 10; g = f + 15. If e = 8, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"o": "z + 17", "x": "o + 13", "n": "x + 11", "l": "n + 7", "y": "l + 8", "c": "y + 19", "f": "z + 13", "p": "f + 20", "w": "p + 3", "u": "w + 5", "k": "u + 20", "v": "k + 15", "z": 6}, "premises": {"z": 6}, "target": "c"}, "answer": {"steps": [["y", "l + 8", "l + 27"], ["l", "n + 7", "n + 34"], ["n", "x + 11", "x + 45"], ["x", "o + 13", "o + 58"], ["o", "z + 17", "z + 75"], ["z", 6, "81"]], "target_var_name": "c", "target_value": 81, "value_dict": {"z": 6}, "is_reverse": true}}
| 537
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = p + 3; o = z + 17; f = z + 13; p = f + 20; k = u + 20; v = k + 15; u = w + 5; c = y + 19; z = 6; y = l + 8; l = n + 7; n = x + 11; x = o + 13. If z = 6, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = l + 8 to c, which gives c = l + 27.\n2. Substitute l = n + 7 to c, which gives c = n + 34.\n3. Substitute n = x + 11 to c, which gives c = x + 45.\n4. Substitute x = o + 13 to c, which gives c = o + 58.\n5. Substitute o = z + 17 to c, which gives c = z + 75.\n6. Substitute z = 6 to c, which gives c = 81.\n\nThus, the final answer is c = \\boxed{81}.",
"index": 537,
"question": "Consider a system of variables where each variable is defined as follows: w = p + 3; o = z + 17; f = z + 13; p = f + 20; k = u + 20; v = k + 15; u = w + 5; c = y + 19; z = 6; y = l + 8; l = n + 7; n = x + 11; x = o + 13. If z = 6, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"l": "b + 8", "a": "l + 1", "r": "a + 19", "k": "r + 16", "j": "k + 14", "s": "j + 20", "y": "b + 13", "i": "y + 3", "h": "i + 17", "p": "h + 4", "o": "p + 10", "g": "o + 14", "b": 4}, "premises": {"b": 4}, "target": "s"}, "answer": {"steps": [["j", "k + 14", "k + 34"], ["k", "r + 16", "r + 50"], ["r", "a + 19", "a + 69"], ["a", "l + 1", "l + 70"], ["l", "b + 8", "b + 78"], ["b", 4, "82"]], "target_var_name": "s", "target_value": 82, "value_dict": {"b": 4}, "is_reverse": true}}
| 538
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = h + 4; g = o + 14; j = k + 14; k = r + 16; l = b + 8; i = y + 3; r = a + 19; o = p + 10; h = i + 17; a = l + 1; b = 4; s = j + 20; y = b + 13. Given that b = 4, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = k + 14 to s, which gives s = k + 34.\n2. Substitute k = r + 16 to s, which gives s = r + 50.\n3. Substitute r = a + 19 to s, which gives s = a + 69.\n4. Substitute a = l + 1 to s, which gives s = l + 70.\n5. Substitute l = b + 8 to s, which gives s = b + 78.\n6. Substitute b = 4 to s, which gives s = 82.\n\nThus, the final answer is s = \\boxed{82}.",
"index": 538,
"question": "Suppose a collection of variables is related by the following definitions: p = h + 4; g = o + 14; j = k + 14; k = r + 16; l = b + 8; i = y + 3; r = a + 19; o = p + 10; h = i + 17; a = l + 1; b = 4; s = j + 20; y = b + 13. Given that b = 4, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"c": "n + 8", "k": "c + 4", "i": "k + 5", "r": "i + 11", "d": "r + 2", "e": "d + 12", "a": "n + 14", "o": "a + 20", "b": "o + 12", "h": "b + 20", "l": "h + 13", "y": "l + 20", "n": 2}, "premises": {"n": 2}, "target": "e"}, "answer": {"steps": [["d", "r + 2", "r + 14"], ["r", "i + 11", "i + 25"], ["i", "k + 5", "k + 30"], ["k", "c + 4", "c + 34"], ["c", "n + 8", "n + 42"], ["n", 2, "44"]], "target_var_name": "e", "target_value": 44, "value_dict": {"n": 2}, "is_reverse": true}}
| 539
| 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 + 13; n = 2; i = k + 5; h = b + 20; b = o + 12; d = r + 2; c = n + 8; y = l + 20; e = d + 12; r = i + 11; k = c + 4; a = n + 14; o = a + 20. If n = 2, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 44,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = r + 2 to e, which gives e = r + 14.\n2. Substitute r = i + 11 to e, which gives e = i + 25.\n3. Substitute i = k + 5 to e, which gives e = k + 30.\n4. Substitute k = c + 4 to e, which gives e = c + 34.\n5. Substitute c = n + 8 to e, which gives e = n + 42.\n6. Substitute n = 2 to e, which gives e = 44.\n\nThus, the final answer is e = \\boxed{44}.",
"index": 539,
"question": "Consider a system of variables where each variable is defined as follows: l = h + 13; n = 2; i = k + 5; h = b + 20; b = o + 12; d = r + 2; c = n + 8; y = l + 20; e = d + 12; r = i + 11; k = c + 4; a = n + 14; o = a + 20. If n = 2, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"n": "d + 8", "e": "n + 8", "l": "e + 3", "q": "l + 7", "p": "q + 6", "k": "p + 11", "j": "d + 19", "v": "j + 16", "t": "v + 13", "a": "t + 19", "u": "a + 2", "b": "u + 8", "d": 10}, "premises": {"d": 10}, "target": "k"}, "answer": {"steps": [["p", "q + 6", "q + 17"], ["q", "l + 7", "l + 24"], ["l", "e + 3", "e + 27"], ["e", "n + 8", "n + 35"], ["n", "d + 8", "d + 43"], ["d", 10, "53"]], "target_var_name": "k", "target_value": 53, "value_dict": {"d": 10}, "is_reverse": true}}
| 540
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = j + 16; p = q + 6; j = d + 19; b = u + 8; n = d + 8; d = 10; e = n + 8; a = t + 19; l = e + 3; q = l + 7; t = v + 13; k = p + 11; u = a + 2. If d = 10, what is the resulting 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 p = q + 6 to k, which gives k = q + 17.\n2. Substitute q = l + 7 to k, which gives k = l + 24.\n3. Substitute l = e + 3 to k, which gives k = e + 27.\n4. Substitute e = n + 8 to k, which gives k = n + 35.\n5. Substitute n = d + 8 to k, which gives k = d + 43.\n6. Substitute d = 10 to k, which gives k = 53.\n\nThus, the final answer is k = \\boxed{53}.",
"index": 540,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = j + 16; p = q + 6; j = d + 19; b = u + 8; n = d + 8; d = 10; e = n + 8; a = t + 19; l = e + 3; q = l + 7; t = v + 13; k = p + 11; u = a + 2. If d = 10, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"s": "r + 12", "g": "s + 4", "t": "g + 3", "q": "t + 2", "p": "q + 19", "w": "p + 12", "h": "r + 18", "x": "h + 10", "b": "x + 11", "u": "b + 6", "i": "u + 14", "c": "i + 11", "r": 8}, "premises": {"r": 8}, "target": "w"}, "answer": {"steps": [["p", "q + 19", "q + 31"], ["q", "t + 2", "t + 33"], ["t", "g + 3", "g + 36"], ["g", "s + 4", "s + 40"], ["s", "r + 12", "r + 52"], ["r", 8, "60"]], "target_var_name": "w", "target_value": 60, "value_dict": {"r": 8}, "is_reverse": true}}
| 541
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = p + 12; t = g + 3; h = r + 18; i = u + 14; g = s + 4; c = i + 11; r = 8; x = h + 10; s = r + 12; u = b + 6; q = t + 2; p = q + 19; b = x + 11. Given that r = 8, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = q + 19 to w, which gives w = q + 31.\n2. Substitute q = t + 2 to w, which gives w = t + 33.\n3. Substitute t = g + 3 to w, which gives w = g + 36.\n4. Substitute g = s + 4 to w, which gives w = s + 40.\n5. Substitute s = r + 12 to w, which gives w = r + 52.\n6. Substitute r = 8 to w, which gives w = 60.\n\nThus, the final answer is w = \\boxed{60}.",
"index": 541,
"question": "Suppose a collection of variables is related by the following definitions: w = p + 12; t = g + 3; h = r + 18; i = u + 14; g = s + 4; c = i + 11; r = 8; x = h + 10; s = r + 12; u = b + 6; q = t + 2; p = q + 19; b = x + 11. Given that r = 8, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"n": "m + 2", "y": "n + 2", "u": "y + 5", "v": "u + 5", "e": "v + 18", "j": "e + 8", "k": "m + 15", "p": "k + 8", "i": "p + 13", "g": "i + 18", "l": "g + 20", "f": "l + 17", "m": 7}, "premises": {"m": 7}, "target": "j"}, "answer": {"steps": [["e", "v + 18", "v + 26"], ["v", "u + 5", "u + 31"], ["u", "y + 5", "y + 36"], ["y", "n + 2", "n + 38"], ["n", "m + 2", "m + 40"], ["m", 7, "47"]], "target_var_name": "j", "target_value": 47, "value_dict": {"m": 7}, "is_reverse": true}}
| 542
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = k + 8; l = g + 20; m = 7; g = i + 18; f = l + 17; y = n + 2; i = p + 13; k = m + 15; j = e + 8; n = m + 2; v = u + 5; u = y + 5; e = v + 18. Given that m = 7, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 47,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = v + 18 to j, which gives j = v + 26.\n2. Substitute v = u + 5 to j, which gives j = u + 31.\n3. Substitute u = y + 5 to j, which gives j = y + 36.\n4. Substitute y = n + 2 to j, which gives j = n + 38.\n5. Substitute n = m + 2 to j, which gives j = m + 40.\n6. Substitute m = 7 to j, which gives j = 47.\n\nThus, the final answer is j = \\boxed{47}.",
"index": 542,
"question": "Suppose a collection of variables is related by the following definitions: p = k + 8; l = g + 20; m = 7; g = i + 18; f = l + 17; y = n + 2; i = p + 13; k = m + 15; j = e + 8; n = m + 2; v = u + 5; u = y + 5; e = v + 18. Given that m = 7, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"c": "r + 4", "w": "c + 5", "f": "w + 3", "z": "f + 15", "s": "z + 10", "k": "s + 7", "v": "r + 11", "y": "v + 17", "b": "y + 20", "m": "b + 10", "x": "m + 1", "q": "x + 3", "r": 11}, "premises": {"r": 11}, "target": "k"}, "answer": {"steps": [["s", "z + 10", "z + 17"], ["z", "f + 15", "f + 32"], ["f", "w + 3", "w + 35"], ["w", "c + 5", "c + 40"], ["c", "r + 4", "r + 44"], ["r", 11, "55"]], "target_var_name": "k", "target_value": 55, "value_dict": {"r": 11}, "is_reverse": true}}
| 543
| 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 = r + 4; q = x + 3; m = b + 10; w = c + 5; z = f + 15; s = z + 10; f = w + 3; b = y + 20; r = 11; x = m + 1; v = r + 11; y = v + 17; k = s + 7. If r = 11, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = z + 10 to k, which gives k = z + 17.\n2. Substitute z = f + 15 to k, which gives k = f + 32.\n3. Substitute f = w + 3 to k, which gives k = w + 35.\n4. Substitute w = c + 5 to k, which gives k = c + 40.\n5. Substitute c = r + 4 to k, which gives k = r + 44.\n6. Substitute r = 11 to k, which gives k = 55.\n\nThus, the final answer is k = \\boxed{55}.",
"index": 543,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = r + 4; q = x + 3; m = b + 10; w = c + 5; z = f + 15; s = z + 10; f = w + 3; b = y + 20; r = 11; x = m + 1; v = r + 11; y = v + 17; k = s + 7. If r = 11, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"o": "p + 4", "s": "o + 4", "n": "s + 18", "w": "n + 4", "m": "w + 3", "h": "m + 14", "c": "p + 18", "g": "c + 10", "d": "g + 17", "l": "d + 2", "v": "l + 4", "e": "v + 16", "p": 14}, "premises": {"p": 14}, "target": "h"}, "answer": {"steps": [["m", "w + 3", "w + 17"], ["w", "n + 4", "n + 21"], ["n", "s + 18", "s + 39"], ["s", "o + 4", "o + 43"], ["o", "p + 4", "p + 47"], ["p", 14, "61"]], "target_var_name": "h", "target_value": 61, "value_dict": {"p": 14}, "is_reverse": true}}
| 544
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = w + 3; c = p + 18; p = 14; s = o + 4; o = p + 4; n = s + 18; g = c + 10; e = v + 16; d = g + 17; l = d + 2; w = n + 4; v = l + 4; h = m + 14. If p = 14, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = w + 3 to h, which gives h = w + 17.\n2. Substitute w = n + 4 to h, which gives h = n + 21.\n3. Substitute n = s + 18 to h, which gives h = s + 39.\n4. Substitute s = o + 4 to h, which gives h = o + 43.\n5. Substitute o = p + 4 to h, which gives h = p + 47.\n6. Substitute p = 14 to h, which gives h = 61.\n\nThus, the final answer is h = \\boxed{61}.",
"index": 544,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = w + 3; c = p + 18; p = 14; s = o + 4; o = p + 4; n = s + 18; g = c + 10; e = v + 16; d = g + 17; l = d + 2; w = n + 4; v = l + 4; h = m + 14. If p = 14, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"f": "q + 14", "x": "f + 3", "c": "x + 7", "i": "c + 8", "u": "i + 20", "v": "u + 8", "s": "q + 2", "o": "s + 11", "n": "o + 9", "a": "n + 6", "g": "a + 2", "t": "g + 15", "q": 18}, "premises": {"q": 18}, "target": "v"}, "answer": {"steps": [["u", "i + 20", "i + 28"], ["i", "c + 8", "c + 36"], ["c", "x + 7", "x + 43"], ["x", "f + 3", "f + 46"], ["f", "q + 14", "q + 60"], ["q", 18, "78"]], "target_var_name": "v", "target_value": 78, "value_dict": {"q": 18}, "is_reverse": true}}
| 545
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = c + 8; o = s + 11; f = q + 14; a = n + 6; s = q + 2; t = g + 15; q = 18; u = i + 20; c = x + 7; n = o + 9; x = f + 3; v = u + 8; g = a + 2. If q = 18, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = i + 20 to v, which gives v = i + 28.\n2. Substitute i = c + 8 to v, which gives v = c + 36.\n3. Substitute c = x + 7 to v, which gives v = x + 43.\n4. Substitute x = f + 3 to v, which gives v = f + 46.\n5. Substitute f = q + 14 to v, which gives v = q + 60.\n6. Substitute q = 18 to v, which gives v = 78.\n\nThus, the final answer is v = \\boxed{78}.",
"index": 545,
"question": "Consider a system of variables where each variable is defined as follows: i = c + 8; o = s + 11; f = q + 14; a = n + 6; s = q + 2; t = g + 15; q = 18; u = i + 20; c = x + 7; n = o + 9; x = f + 3; v = u + 8; g = a + 2. If q = 18, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"f": "t + 13", "r": "f + 10", "a": "r + 9", "y": "a + 7", "s": "y + 19", "u": "s + 8", "e": "t + 7", "i": "e + 2", "k": "i + 8", "j": "k + 1", "x": "j + 3", "p": "x + 5", "t": 8}, "premises": {"t": 8}, "target": "u"}, "answer": {"steps": [["s", "y + 19", "y + 27"], ["y", "a + 7", "a + 34"], ["a", "r + 9", "r + 43"], ["r", "f + 10", "f + 53"], ["f", "t + 13", "t + 66"], ["t", 8, "74"]], "target_var_name": "u", "target_value": 74, "value_dict": {"t": 8}, "is_reverse": true}}
| 546
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = t + 13; x = j + 3; s = y + 19; y = a + 7; t = 8; k = i + 8; j = k + 1; e = t + 7; a = r + 9; u = s + 8; p = x + 5; i = e + 2; r = f + 10. If t = 8, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = y + 19 to u, which gives u = y + 27.\n2. Substitute y = a + 7 to u, which gives u = a + 34.\n3. Substitute a = r + 9 to u, which gives u = r + 43.\n4. Substitute r = f + 10 to u, which gives u = f + 53.\n5. Substitute f = t + 13 to u, which gives u = t + 66.\n6. Substitute t = 8 to u, which gives u = 74.\n\nThus, the final answer is u = \\boxed{74}.",
"index": 546,
"question": "Consider a system of variables where each variable is defined as follows: f = t + 13; x = j + 3; s = y + 19; y = a + 7; t = 8; k = i + 8; j = k + 1; e = t + 7; a = r + 9; u = s + 8; p = x + 5; i = e + 2; r = f + 10. If t = 8, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"s": "f + 5", "z": "s + 14", "q": "z + 10", "c": "q + 3", "w": "c + 17", "a": "w + 12", "n": "f + 8", "b": "n + 6", "y": "b + 16", "j": "y + 17", "i": "j + 3", "h": "i + 10", "f": 1}, "premises": {"f": 1}, "target": "a"}, "answer": {"steps": [["w", "c + 17", "c + 29"], ["c", "q + 3", "q + 32"], ["q", "z + 10", "z + 42"], ["z", "s + 14", "s + 56"], ["s", "f + 5", "f + 61"], ["f", 1, "62"]], "target_var_name": "a", "target_value": 62, "value_dict": {"f": 1}, "is_reverse": true}}
| 547
| 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 = w + 12; f = 1; z = s + 14; w = c + 17; b = n + 6; i = j + 3; s = f + 5; q = z + 10; y = b + 16; n = f + 8; c = q + 3; h = i + 10; j = y + 17. If f = 1, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = c + 17 to a, which gives a = c + 29.\n2. Substitute c = q + 3 to a, which gives a = q + 32.\n3. Substitute q = z + 10 to a, which gives a = z + 42.\n4. Substitute z = s + 14 to a, which gives a = s + 56.\n5. Substitute s = f + 5 to a, which gives a = f + 61.\n6. Substitute f = 1 to a, which gives a = 62.\n\nThus, the final answer is a = \\boxed{62}.",
"index": 547,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = w + 12; f = 1; z = s + 14; w = c + 17; b = n + 6; i = j + 3; s = f + 5; q = z + 10; y = b + 16; n = f + 8; c = q + 3; h = i + 10; j = y + 17. If f = 1, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"g": "z + 1", "x": "g + 4", "b": "x + 4", "a": "b + 11", "w": "a + 10", "t": "w + 11", "y": "z + 2", "f": "y + 10", "r": "f + 3", "d": "r + 11", "k": "d + 16", "q": "k + 13", "z": 2}, "premises": {"z": 2}, "target": "t"}, "answer": {"steps": [["w", "a + 10", "a + 21"], ["a", "b + 11", "b + 32"], ["b", "x + 4", "x + 36"], ["x", "g + 4", "g + 40"], ["g", "z + 1", "z + 41"], ["z", 2, "43"]], "target_var_name": "t", "target_value": 43, "value_dict": {"z": 2}, "is_reverse": true}}
| 548
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = z + 2; r = f + 3; b = x + 4; z = 2; w = a + 10; d = r + 11; f = y + 10; q = k + 13; g = z + 1; x = g + 4; k = d + 16; a = b + 11; t = w + 11. Given that z = 2, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 43,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = a + 10 to t, which gives t = a + 21.\n2. Substitute a = b + 11 to t, which gives t = b + 32.\n3. Substitute b = x + 4 to t, which gives t = x + 36.\n4. Substitute x = g + 4 to t, which gives t = g + 40.\n5. Substitute g = z + 1 to t, which gives t = z + 41.\n6. Substitute z = 2 to t, which gives t = 43.\n\nThus, the final answer is t = \\boxed{43}.",
"index": 548,
"question": "Suppose a collection of variables is related by the following definitions: y = z + 2; r = f + 3; b = x + 4; z = 2; w = a + 10; d = r + 11; f = y + 10; q = k + 13; g = z + 1; x = g + 4; k = d + 16; a = b + 11; t = w + 11. Given that z = 2, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"d": "c + 17", "h": "d + 15", "q": "h + 9", "u": "q + 14", "e": "u + 7", "p": "e + 16", "y": "c + 11", "z": "y + 2", "i": "z + 19", "f": "i + 16", "g": "f + 6", "k": "g + 18", "c": 2}, "premises": {"c": 2}, "target": "p"}, "answer": {"steps": [["e", "u + 7", "u + 23"], ["u", "q + 14", "q + 37"], ["q", "h + 9", "h + 46"], ["h", "d + 15", "d + 61"], ["d", "c + 17", "c + 78"], ["c", 2, "80"]], "target_var_name": "p", "target_value": 80, "value_dict": {"c": 2}, "is_reverse": true}}
| 549
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = f + 6; i = z + 19; c = 2; z = y + 2; q = h + 9; d = c + 17; y = c + 11; h = d + 15; f = i + 16; e = u + 7; k = g + 18; p = e + 16; u = q + 14. If c = 2, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = u + 7 to p, which gives p = u + 23.\n2. Substitute u = q + 14 to p, which gives p = q + 37.\n3. Substitute q = h + 9 to p, which gives p = h + 46.\n4. Substitute h = d + 15 to p, which gives p = d + 61.\n5. Substitute d = c + 17 to p, which gives p = c + 78.\n6. Substitute c = 2 to p, which gives p = 80.\n\nThus, the final answer is p = \\boxed{80}.",
"index": 549,
"question": "Consider a system of variables where each variable is defined as follows: g = f + 6; i = z + 19; c = 2; z = y + 2; q = h + 9; d = c + 17; y = c + 11; h = d + 15; f = i + 16; e = u + 7; k = g + 18; p = e + 16; u = q + 14. If c = 2, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"x": "k + 17", "z": "x + 9", "h": "z + 13", "c": "h + 20", "w": "c + 3", "v": "w + 17", "a": "k + 3", "m": "a + 12", "g": "m + 2", "l": "g + 7", "d": "l + 11", "s": "d + 7", "k": 13}, "premises": {"k": 13}, "target": "v"}, "answer": {"steps": [["w", "c + 3", "c + 20"], ["c", "h + 20", "h + 40"], ["h", "z + 13", "z + 53"], ["z", "x + 9", "x + 62"], ["x", "k + 17", "k + 79"], ["k", 13, "92"]], "target_var_name": "v", "target_value": 92, "value_dict": {"k": 13}, "is_reverse": true}}
| 550
| 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 = z + 13; c = h + 20; l = g + 7; k = 13; z = x + 9; x = k + 17; m = a + 12; s = d + 7; a = k + 3; d = l + 11; v = w + 17; w = c + 3; g = m + 2. If k = 13, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = c + 3 to v, which gives v = c + 20.\n2. Substitute c = h + 20 to v, which gives v = h + 40.\n3. Substitute h = z + 13 to v, which gives v = z + 53.\n4. Substitute z = x + 9 to v, which gives v = x + 62.\n5. Substitute x = k + 17 to v, which gives v = k + 79.\n6. Substitute k = 13 to v, which gives v = 92.\n\nThus, the final answer is v = \\boxed{92}.",
"index": 550,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = z + 13; c = h + 20; l = g + 7; k = 13; z = x + 9; x = k + 17; m = a + 12; s = d + 7; a = k + 3; d = l + 11; v = w + 17; w = c + 3; g = m + 2. If k = 13, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"r": "q + 8", "j": "r + 13", "p": "j + 4", "k": "p + 5", "o": "k + 20", "b": "o + 6", "a": "q + 13", "c": "a + 19", "z": "c + 14", "d": "z + 16", "f": "d + 20", "h": "f + 2", "q": 19}, "premises": {"q": 19}, "target": "b"}, "answer": {"steps": [["o", "k + 20", "k + 26"], ["k", "p + 5", "p + 31"], ["p", "j + 4", "j + 35"], ["j", "r + 13", "r + 48"], ["r", "q + 8", "q + 56"], ["q", 19, "75"]], "target_var_name": "b", "target_value": 75, "value_dict": {"q": 19}, "is_reverse": true}}
| 551
| 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 = a + 19; z = c + 14; a = q + 13; q = 19; d = z + 16; o = k + 20; h = f + 2; b = o + 6; f = d + 20; r = q + 8; p = j + 4; j = r + 13; k = p + 5. If q = 19, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = k + 20 to b, which gives b = k + 26.\n2. Substitute k = p + 5 to b, which gives b = p + 31.\n3. Substitute p = j + 4 to b, which gives b = j + 35.\n4. Substitute j = r + 13 to b, which gives b = r + 48.\n5. Substitute r = q + 8 to b, which gives b = q + 56.\n6. Substitute q = 19 to b, which gives b = 75.\n\nThus, the final answer is b = \\boxed{75}.",
"index": 551,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = a + 19; z = c + 14; a = q + 13; q = 19; d = z + 16; o = k + 20; h = f + 2; b = o + 6; f = d + 20; r = q + 8; p = j + 4; j = r + 13; k = p + 5. If q = 19, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"d": "j + 19", "h": "d + 15", "x": "h + 17", "n": "x + 6", "c": "n + 11", "r": "c + 12", "y": "j + 2", "a": "y + 19", "m": "a + 14", "i": "m + 13", "o": "i + 20", "g": "o + 18", "j": 18}, "premises": {"j": 18}, "target": "r"}, "answer": {"steps": [["c", "n + 11", "n + 23"], ["n", "x + 6", "x + 29"], ["x", "h + 17", "h + 46"], ["h", "d + 15", "d + 61"], ["d", "j + 19", "j + 80"], ["j", 18, "98"]], "target_var_name": "r", "target_value": 98, "value_dict": {"j": 18}, "is_reverse": true}}
| 552
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = m + 13; g = o + 18; n = x + 6; o = i + 20; h = d + 15; j = 18; x = h + 17; y = j + 2; m = a + 14; a = y + 19; d = j + 19; c = n + 11; r = c + 12. Given that j = 18, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 98,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = n + 11 to r, which gives r = n + 23.\n2. Substitute n = x + 6 to r, which gives r = x + 29.\n3. Substitute x = h + 17 to r, which gives r = h + 46.\n4. Substitute h = d + 15 to r, which gives r = d + 61.\n5. Substitute d = j + 19 to r, which gives r = j + 80.\n6. Substitute j = 18 to r, which gives r = 98.\n\nThus, the final answer is r = \\boxed{98}.",
"index": 552,
"question": "Suppose a collection of variables is related by the following definitions: i = m + 13; g = o + 18; n = x + 6; o = i + 20; h = d + 15; j = 18; x = h + 17; y = j + 2; m = a + 14; a = y + 19; d = j + 19; c = n + 11; r = c + 12. Given that j = 18, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"q": "m + 9", "a": "q + 9", "k": "a + 5", "x": "k + 3", "u": "x + 16", "g": "u + 5", "s": "m + 9", "z": "s + 19", "v": "z + 19", "b": "v + 3", "o": "b + 14", "r": "o + 7", "m": 6}, "premises": {"m": 6}, "target": "g"}, "answer": {"steps": [["u", "x + 16", "x + 21"], ["x", "k + 3", "k + 24"], ["k", "a + 5", "a + 29"], ["a", "q + 9", "q + 38"], ["q", "m + 9", "m + 47"], ["m", 6, "53"]], "target_var_name": "g", "target_value": 53, "value_dict": {"m": 6}, "is_reverse": true}}
| 553
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = b + 14; r = o + 7; q = m + 9; v = z + 19; x = k + 3; s = m + 9; u = x + 16; g = u + 5; k = a + 5; b = v + 3; m = 6; a = q + 9; z = s + 19. Given that m = 6, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = x + 16 to g, which gives g = x + 21.\n2. Substitute x = k + 3 to g, which gives g = k + 24.\n3. Substitute k = a + 5 to g, which gives g = a + 29.\n4. Substitute a = q + 9 to g, which gives g = q + 38.\n5. Substitute q = m + 9 to g, which gives g = m + 47.\n6. Substitute m = 6 to g, which gives g = 53.\n\nThus, the final answer is g = \\boxed{53}.",
"index": 553,
"question": "Suppose a collection of variables is related by the following definitions: o = b + 14; r = o + 7; q = m + 9; v = z + 19; x = k + 3; s = m + 9; u = x + 16; g = u + 5; k = a + 5; b = v + 3; m = 6; a = q + 9; z = s + 19. Given that m = 6, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"l": "s + 3", "d": "l + 13", "m": "d + 18", "j": "m + 17", "h": "j + 20", "f": "h + 5", "t": "s + 13", "e": "t + 5", "y": "e + 11", "k": "y + 18", "x": "k + 17", "c": "x + 18", "s": 10}, "premises": {"s": 10}, "target": "f"}, "answer": {"steps": [["h", "j + 20", "j + 25"], ["j", "m + 17", "m + 42"], ["m", "d + 18", "d + 60"], ["d", "l + 13", "l + 73"], ["l", "s + 3", "s + 76"], ["s", 10, "86"]], "target_var_name": "f", "target_value": 86, "value_dict": {"s": 10}, "is_reverse": true}}
| 554
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = d + 18; y = e + 11; h = j + 20; t = s + 13; l = s + 3; j = m + 17; x = k + 17; d = l + 13; s = 10; e = t + 5; f = h + 5; k = y + 18; c = x + 18. If s = 10, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = j + 20 to f, which gives f = j + 25.\n2. Substitute j = m + 17 to f, which gives f = m + 42.\n3. Substitute m = d + 18 to f, which gives f = d + 60.\n4. Substitute d = l + 13 to f, which gives f = l + 73.\n5. Substitute l = s + 3 to f, which gives f = s + 76.\n6. Substitute s = 10 to f, which gives f = 86.\n\nThus, the final answer is f = \\boxed{86}.",
"index": 554,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = d + 18; y = e + 11; h = j + 20; t = s + 13; l = s + 3; j = m + 17; x = k + 17; d = l + 13; s = 10; e = t + 5; f = h + 5; k = y + 18; c = x + 18. If s = 10, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"p": "n + 2", "l": "p + 16", "h": "l + 9", "i": "h + 8", "e": "i + 2", "v": "e + 2", "a": "n + 12", "f": "a + 4", "j": "f + 8", "c": "j + 16", "u": "c + 4", "x": "u + 20", "n": 11}, "premises": {"n": 11}, "target": "v"}, "answer": {"steps": [["e", "i + 2", "i + 4"], ["i", "h + 8", "h + 12"], ["h", "l + 9", "l + 21"], ["l", "p + 16", "p + 37"], ["p", "n + 2", "n + 39"], ["n", 11, "50"]], "target_var_name": "v", "target_value": 50, "value_dict": {"n": 11}, "is_reverse": true}}
| 555
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = e + 2; l = p + 16; n = 11; x = u + 20; h = l + 9; i = h + 8; u = c + 4; f = a + 4; c = j + 16; p = n + 2; a = n + 12; e = i + 2; j = f + 8. If n = 11, 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 e = i + 2 to v, which gives v = i + 4.\n2. Substitute i = h + 8 to v, which gives v = h + 12.\n3. Substitute h = l + 9 to v, which gives v = l + 21.\n4. Substitute l = p + 16 to v, which gives v = p + 37.\n5. Substitute p = n + 2 to v, which gives v = n + 39.\n6. Substitute n = 11 to v, which gives v = 50.\n\nThus, the final answer is v = \\boxed{50}.",
"index": 555,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = e + 2; l = p + 16; n = 11; x = u + 20; h = l + 9; i = h + 8; u = c + 4; f = a + 4; c = j + 16; p = n + 2; a = n + 12; e = i + 2; j = f + 8. If n = 11, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"k": "x + 4", "i": "k + 17", "n": "i + 4", "g": "n + 10", "c": "g + 9", "t": "c + 17", "y": "x + 11", "w": "y + 6", "m": "w + 6", "s": "m + 1", "e": "s + 12", "b": "e + 2", "x": 14}, "premises": {"x": 14}, "target": "t"}, "answer": {"steps": [["c", "g + 9", "g + 26"], ["g", "n + 10", "n + 36"], ["n", "i + 4", "i + 40"], ["i", "k + 17", "k + 57"], ["k", "x + 4", "x + 61"], ["x", 14, "75"]], "target_var_name": "t", "target_value": 75, "value_dict": {"x": 14}, "is_reverse": true}}
| 556
| 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 = k + 17; y = x + 11; x = 14; s = m + 1; t = c + 17; w = y + 6; e = s + 12; g = n + 10; k = x + 4; c = g + 9; b = e + 2; n = i + 4; m = w + 6. If x = 14, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = g + 9 to t, which gives t = g + 26.\n2. Substitute g = n + 10 to t, which gives t = n + 36.\n3. Substitute n = i + 4 to t, which gives t = i + 40.\n4. Substitute i = k + 17 to t, which gives t = k + 57.\n5. Substitute k = x + 4 to t, which gives t = x + 61.\n6. Substitute x = 14 to t, which gives t = 75.\n\nThus, the final answer is t = \\boxed{75}.",
"index": 556,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = k + 17; y = x + 11; x = 14; s = m + 1; t = c + 17; w = y + 6; e = s + 12; g = n + 10; k = x + 4; c = g + 9; b = e + 2; n = i + 4; m = w + 6. If x = 14, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"p": "d + 4", "f": "p + 15", "v": "f + 5", "l": "v + 20", "a": "l + 6", "w": "a + 2", "n": "d + 5", "c": "n + 17", "b": "c + 19", "e": "b + 14", "y": "e + 17", "i": "y + 17", "d": 11}, "premises": {"d": 11}, "target": "w"}, "answer": {"steps": [["a", "l + 6", "l + 8"], ["l", "v + 20", "v + 28"], ["v", "f + 5", "f + 33"], ["f", "p + 15", "p + 48"], ["p", "d + 4", "d + 52"], ["d", 11, "63"]], "target_var_name": "w", "target_value": 63, "value_dict": {"d": 11}, "is_reverse": true}}
| 557
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = n + 17; w = a + 2; b = c + 19; v = f + 5; y = e + 17; f = p + 15; l = v + 20; i = y + 17; n = d + 5; a = l + 6; p = d + 4; e = b + 14; d = 11. If d = 11, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = l + 6 to w, which gives w = l + 8.\n2. Substitute l = v + 20 to w, which gives w = v + 28.\n3. Substitute v = f + 5 to w, which gives w = f + 33.\n4. Substitute f = p + 15 to w, which gives w = p + 48.\n5. Substitute p = d + 4 to w, which gives w = d + 52.\n6. Substitute d = 11 to w, which gives w = 63.\n\nThus, the final answer is w = \\boxed{63}.",
"index": 557,
"question": "Consider a system of variables where each variable is defined as follows: c = n + 17; w = a + 2; b = c + 19; v = f + 5; y = e + 17; f = p + 15; l = v + 20; i = y + 17; n = d + 5; a = l + 6; p = d + 4; e = b + 14; d = 11. If d = 11, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"t": "z + 4", "k": "t + 10", "b": "k + 3", "o": "b + 16", "c": "o + 4", "j": "c + 5", "q": "z + 5", "e": "q + 1", "n": "e + 14", "g": "n + 6", "u": "g + 13", "h": "u + 5", "z": 1}, "premises": {"z": 1}, "target": "j"}, "answer": {"steps": [["c", "o + 4", "o + 9"], ["o", "b + 16", "b + 25"], ["b", "k + 3", "k + 28"], ["k", "t + 10", "t + 38"], ["t", "z + 4", "z + 42"], ["z", 1, "43"]], "target_var_name": "j", "target_value": 43, "value_dict": {"z": 1}, "is_reverse": true}}
| 558
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = b + 16; b = k + 3; z = 1; e = q + 1; j = c + 5; n = e + 14; c = o + 4; h = u + 5; q = z + 5; k = t + 10; t = z + 4; u = g + 13; g = n + 6. Given that z = 1, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 43,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = o + 4 to j, which gives j = o + 9.\n2. Substitute o = b + 16 to j, which gives j = b + 25.\n3. Substitute b = k + 3 to j, which gives j = k + 28.\n4. Substitute k = t + 10 to j, which gives j = t + 38.\n5. Substitute t = z + 4 to j, which gives j = z + 42.\n6. Substitute z = 1 to j, which gives j = 43.\n\nThus, the final answer is j = \\boxed{43}.",
"index": 558,
"question": "Suppose a collection of variables is related by the following definitions: o = b + 16; b = k + 3; z = 1; e = q + 1; j = c + 5; n = e + 14; c = o + 4; h = u + 5; q = z + 5; k = t + 10; t = z + 4; u = g + 13; g = n + 6. Given that z = 1, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"i": "z + 17", "c": "i + 5", "a": "c + 17", "o": "a + 11", "w": "o + 14", "m": "w + 14", "u": "z + 5", "v": "u + 13", "y": "v + 4", "f": "y + 8", "b": "f + 6", "q": "b + 15", "z": 10}, "premises": {"z": 10}, "target": "m"}, "answer": {"steps": [["w", "o + 14", "o + 28"], ["o", "a + 11", "a + 39"], ["a", "c + 17", "c + 56"], ["c", "i + 5", "i + 61"], ["i", "z + 17", "z + 78"], ["z", 10, "88"]], "target_var_name": "m", "target_value": 88, "value_dict": {"z": 10}, "is_reverse": true}}
| 559
| 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 = o + 14; q = b + 15; v = u + 13; a = c + 17; o = a + 11; z = 10; c = i + 5; i = z + 17; u = z + 5; m = w + 14; b = f + 6; y = v + 4; f = y + 8. If z = 10, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = o + 14 to m, which gives m = o + 28.\n2. Substitute o = a + 11 to m, which gives m = a + 39.\n3. Substitute a = c + 17 to m, which gives m = c + 56.\n4. Substitute c = i + 5 to m, which gives m = i + 61.\n5. Substitute i = z + 17 to m, which gives m = z + 78.\n6. Substitute z = 10 to m, which gives m = 88.\n\nThus, the final answer is m = \\boxed{88}.",
"index": 559,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = o + 14; q = b + 15; v = u + 13; a = c + 17; o = a + 11; z = 10; c = i + 5; i = z + 17; u = z + 5; m = w + 14; b = f + 6; y = v + 4; f = y + 8. If z = 10, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"n": "b + 5", "o": "n + 11", "h": "o + 18", "q": "h + 16", "p": "q + 18", "u": "p + 2", "m": "b + 15", "t": "m + 5", "c": "t + 13", "a": "c + 19", "k": "a + 12", "s": "k + 18", "b": 6}, "premises": {"b": 6}, "target": "u"}, "answer": {"steps": [["p", "q + 18", "q + 20"], ["q", "h + 16", "h + 36"], ["h", "o + 18", "o + 54"], ["o", "n + 11", "n + 65"], ["n", "b + 5", "b + 70"], ["b", 6, "76"]], "target_var_name": "u", "target_value": 76, "value_dict": {"b": 6}, "is_reverse": true}}
| 560
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = q + 18; s = k + 18; u = p + 2; q = h + 16; c = t + 13; n = b + 5; a = c + 19; t = m + 5; m = b + 15; b = 6; o = n + 11; k = a + 12; h = o + 18. If b = 6, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = q + 18 to u, which gives u = q + 20.\n2. Substitute q = h + 16 to u, which gives u = h + 36.\n3. Substitute h = o + 18 to u, which gives u = o + 54.\n4. Substitute o = n + 11 to u, which gives u = n + 65.\n5. Substitute n = b + 5 to u, which gives u = b + 70.\n6. Substitute b = 6 to u, which gives u = 76.\n\nThus, the final answer is u = \\boxed{76}.",
"index": 560,
"question": "Consider a system of variables where each variable is defined as follows: p = q + 18; s = k + 18; u = p + 2; q = h + 16; c = t + 13; n = b + 5; a = c + 19; t = m + 5; m = b + 15; b = 6; o = n + 11; k = a + 12; h = o + 18. If b = 6, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"v": "z + 3", "x": "v + 6", "m": "x + 9", "b": "m + 9", "j": "b + 16", "p": "j + 2", "k": "z + 16", "a": "k + 14", "h": "a + 10", "i": "h + 16", "d": "i + 3", "c": "d + 17", "z": 8}, "premises": {"z": 8}, "target": "p"}, "answer": {"steps": [["j", "b + 16", "b + 18"], ["b", "m + 9", "m + 27"], ["m", "x + 9", "x + 36"], ["x", "v + 6", "v + 42"], ["v", "z + 3", "z + 45"], ["z", 8, "53"]], "target_var_name": "p", "target_value": 53, "value_dict": {"z": 8}, "is_reverse": true}}
| 561
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = z + 16; p = j + 2; j = b + 16; i = h + 16; x = v + 6; z = 8; h = a + 10; c = d + 17; d = i + 3; m = x + 9; b = m + 9; a = k + 14; v = z + 3. If z = 8, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = b + 16 to p, which gives p = b + 18.\n2. Substitute b = m + 9 to p, which gives p = m + 27.\n3. Substitute m = x + 9 to p, which gives p = x + 36.\n4. Substitute x = v + 6 to p, which gives p = v + 42.\n5. Substitute v = z + 3 to p, which gives p = z + 45.\n6. Substitute z = 8 to p, which gives p = 53.\n\nThus, the final answer is p = \\boxed{53}.",
"index": 561,
"question": "Consider a system of variables where each variable is defined as follows: k = z + 16; p = j + 2; j = b + 16; i = h + 16; x = v + 6; z = 8; h = a + 10; c = d + 17; d = i + 3; m = x + 9; b = m + 9; a = k + 14; v = z + 3. If z = 8, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"v": "s + 13", "q": "v + 1", "c": "q + 8", "b": "c + 19", "x": "b + 13", "z": "x + 20", "r": "s + 16", "n": "r + 13", "j": "n + 8", "u": "j + 13", "d": "u + 2", "k": "d + 5", "s": 15}, "premises": {"s": 15}, "target": "z"}, "answer": {"steps": [["x", "b + 13", "b + 33"], ["b", "c + 19", "c + 52"], ["c", "q + 8", "q + 60"], ["q", "v + 1", "v + 61"], ["v", "s + 13", "s + 74"], ["s", 15, "89"]], "target_var_name": "z", "target_value": 89, "value_dict": {"s": 15}, "is_reverse": true}}
| 562
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = j + 13; j = n + 8; n = r + 13; z = x + 20; d = u + 2; k = d + 5; x = b + 13; q = v + 1; c = q + 8; r = s + 16; v = s + 13; b = c + 19; s = 15. Given that s = 15, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = b + 13 to z, which gives z = b + 33.\n2. Substitute b = c + 19 to z, which gives z = c + 52.\n3. Substitute c = q + 8 to z, which gives z = q + 60.\n4. Substitute q = v + 1 to z, which gives z = v + 61.\n5. Substitute v = s + 13 to z, which gives z = s + 74.\n6. Substitute s = 15 to z, which gives z = 89.\n\nThus, the final answer is z = \\boxed{89}.",
"index": 562,
"question": "Suppose a collection of variables is related by the following definitions: u = j + 13; j = n + 8; n = r + 13; z = x + 20; d = u + 2; k = d + 5; x = b + 13; q = v + 1; c = q + 8; r = s + 16; v = s + 13; b = c + 19; s = 15. Given that s = 15, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"o": "a + 12", "f": "o + 5", "t": "f + 20", "u": "t + 18", "b": "u + 5", "r": "b + 16", "e": "a + 17", "l": "e + 1", "i": "l + 6", "g": "i + 7", "n": "g + 13", "q": "n + 9", "a": 9}, "premises": {"a": 9}, "target": "r"}, "answer": {"steps": [["b", "u + 5", "u + 21"], ["u", "t + 18", "t + 39"], ["t", "f + 20", "f + 59"], ["f", "o + 5", "o + 64"], ["o", "a + 12", "a + 76"], ["a", 9, "85"]], "target_var_name": "r", "target_value": 85, "value_dict": {"a": 9}, "is_reverse": true}}
| 563
| 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 = 9; t = f + 20; f = o + 5; r = b + 16; g = i + 7; q = n + 9; u = t + 18; o = a + 12; n = g + 13; e = a + 17; i = l + 6; b = u + 5; l = e + 1. If a = 9, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = u + 5 to r, which gives r = u + 21.\n2. Substitute u = t + 18 to r, which gives r = t + 39.\n3. Substitute t = f + 20 to r, which gives r = f + 59.\n4. Substitute f = o + 5 to r, which gives r = o + 64.\n5. Substitute o = a + 12 to r, which gives r = a + 76.\n6. Substitute a = 9 to r, which gives r = 85.\n\nThus, the final answer is r = \\boxed{85}.",
"index": 563,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = 9; t = f + 20; f = o + 5; r = b + 16; g = i + 7; q = n + 9; u = t + 18; o = a + 12; n = g + 13; e = a + 17; i = l + 6; b = u + 5; l = e + 1. If a = 9, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"o": "d + 19", "t": "o + 18", "g": "t + 1", "b": "g + 4", "v": "b + 2", "r": "v + 12", "m": "d + 13", "f": "m + 18", "i": "f + 5", "a": "i + 3", "c": "a + 17", "z": "c + 20", "d": 14}, "premises": {"d": 14}, "target": "r"}, "answer": {"steps": [["v", "b + 2", "b + 14"], ["b", "g + 4", "g + 18"], ["g", "t + 1", "t + 19"], ["t", "o + 18", "o + 37"], ["o", "d + 19", "d + 56"], ["d", 14, "70"]], "target_var_name": "r", "target_value": 70, "value_dict": {"d": 14}, "is_reverse": true}}
| 564
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = g + 4; o = d + 19; f = m + 18; m = d + 13; a = i + 3; i = f + 5; r = v + 12; v = b + 2; t = o + 18; g = t + 1; d = 14; c = a + 17; z = c + 20. If d = 14, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = b + 2 to r, which gives r = b + 14.\n2. Substitute b = g + 4 to r, which gives r = g + 18.\n3. Substitute g = t + 1 to r, which gives r = t + 19.\n4. Substitute t = o + 18 to r, which gives r = o + 37.\n5. Substitute o = d + 19 to r, which gives r = d + 56.\n6. Substitute d = 14 to r, which gives r = 70.\n\nThus, the final answer is r = \\boxed{70}.",
"index": 564,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = g + 4; o = d + 19; f = m + 18; m = d + 13; a = i + 3; i = f + 5; r = v + 12; v = b + 2; t = o + 18; g = t + 1; d = 14; c = a + 17; z = c + 20. If d = 14, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"v": "w + 9", "d": "v + 8", "j": "d + 1", "e": "j + 12", "n": "e + 4", "p": "n + 7", "l": "w + 11", "b": "l + 9", "q": "b + 3", "f": "q + 14", "t": "f + 11", "k": "t + 20", "w": 2}, "premises": {"w": 2}, "target": "p"}, "answer": {"steps": [["n", "e + 4", "e + 11"], ["e", "j + 12", "j + 23"], ["j", "d + 1", "d + 24"], ["d", "v + 8", "v + 32"], ["v", "w + 9", "w + 41"], ["w", 2, "43"]], "target_var_name": "p", "target_value": 43, "value_dict": {"w": 2}, "is_reverse": true}}
| 565
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = l + 9; p = n + 7; n = e + 4; j = d + 1; v = w + 9; e = j + 12; d = v + 8; t = f + 11; k = t + 20; q = b + 3; l = w + 11; f = q + 14; w = 2. If w = 2, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 43,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = e + 4 to p, which gives p = e + 11.\n2. Substitute e = j + 12 to p, which gives p = j + 23.\n3. Substitute j = d + 1 to p, which gives p = d + 24.\n4. Substitute d = v + 8 to p, which gives p = v + 32.\n5. Substitute v = w + 9 to p, which gives p = w + 41.\n6. Substitute w = 2 to p, which gives p = 43.\n\nThus, the final answer is p = \\boxed{43}.",
"index": 565,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = l + 9; p = n + 7; n = e + 4; j = d + 1; v = w + 9; e = j + 12; d = v + 8; t = f + 11; k = t + 20; q = b + 3; l = w + 11; f = q + 14; w = 2. If w = 2, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"x": "e + 2", "o": "x + 15", "b": "o + 10", "f": "b + 17", "q": "f + 13", "k": "q + 1", "m": "e + 7", "r": "m + 12", "v": "r + 14", "p": "v + 16", "j": "p + 12", "i": "j + 8", "e": 18}, "premises": {"e": 18}, "target": "k"}, "answer": {"steps": [["q", "f + 13", "f + 14"], ["f", "b + 17", "b + 31"], ["b", "o + 10", "o + 41"], ["o", "x + 15", "x + 56"], ["x", "e + 2", "e + 58"], ["e", 18, "76"]], "target_var_name": "k", "target_value": 76, "value_dict": {"e": 18}, "is_reverse": true}}
| 566
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = q + 1; e = 18; i = j + 8; j = p + 12; r = m + 12; x = e + 2; m = e + 7; b = o + 10; p = v + 16; q = f + 13; v = r + 14; o = x + 15; f = b + 17. Given that e = 18, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = f + 13 to k, which gives k = f + 14.\n2. Substitute f = b + 17 to k, which gives k = b + 31.\n3. Substitute b = o + 10 to k, which gives k = o + 41.\n4. Substitute o = x + 15 to k, which gives k = x + 56.\n5. Substitute x = e + 2 to k, which gives k = e + 58.\n6. Substitute e = 18 to k, which gives k = 76.\n\nThus, the final answer is k = \\boxed{76}.",
"index": 566,
"question": "Suppose a collection of variables is related by the following definitions: k = q + 1; e = 18; i = j + 8; j = p + 12; r = m + 12; x = e + 2; m = e + 7; b = o + 10; p = v + 16; q = f + 13; v = r + 14; o = x + 15; f = b + 17. Given that e = 18, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"h": "a + 16", "v": "h + 15", "n": "v + 12", "w": "n + 4", "e": "w + 1", "s": "e + 16", "g": "a + 17", "p": "g + 9", "y": "p + 10", "q": "y + 3", "j": "q + 5", "t": "j + 13", "a": 7}, "premises": {"a": 7}, "target": "s"}, "answer": {"steps": [["e", "w + 1", "w + 17"], ["w", "n + 4", "n + 21"], ["n", "v + 12", "v + 33"], ["v", "h + 15", "h + 48"], ["h", "a + 16", "a + 64"], ["a", 7, "71"]], "target_var_name": "s", "target_value": 71, "value_dict": {"a": 7}, "is_reverse": true}}
| 567
| 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 = e + 16; e = w + 1; y = p + 10; w = n + 4; n = v + 12; v = h + 15; g = a + 17; t = j + 13; a = 7; q = y + 3; j = q + 5; h = a + 16; p = g + 9. If a = 7, what is the resulting 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 e = w + 1 to s, which gives s = w + 17.\n2. Substitute w = n + 4 to s, which gives s = n + 21.\n3. Substitute n = v + 12 to s, which gives s = v + 33.\n4. Substitute v = h + 15 to s, which gives s = h + 48.\n5. Substitute h = a + 16 to s, which gives s = a + 64.\n6. Substitute a = 7 to s, which gives s = 71.\n\nThus, the final answer is s = \\boxed{71}.",
"index": 567,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = e + 16; e = w + 1; y = p + 10; w = n + 4; n = v + 12; v = h + 15; g = a + 17; t = j + 13; a = 7; q = y + 3; j = q + 5; h = a + 16; p = g + 9. If a = 7, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"v": "g + 12", "z": "v + 12", "n": "z + 7", "q": "n + 19", "l": "q + 3", "r": "l + 8", "d": "g + 4", "k": "d + 3", "m": "k + 19", "t": "m + 14", "j": "t + 6", "p": "j + 3", "g": 13}, "premises": {"g": 13}, "target": "r"}, "answer": {"steps": [["l", "q + 3", "q + 11"], ["q", "n + 19", "n + 30"], ["n", "z + 7", "z + 37"], ["z", "v + 12", "v + 49"], ["v", "g + 12", "g + 61"], ["g", 13, "74"]], "target_var_name": "r", "target_value": 74, "value_dict": {"g": 13}, "is_reverse": true}}
| 568
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = g + 4; q = n + 19; r = l + 8; z = v + 12; k = d + 3; m = k + 19; l = q + 3; j = t + 6; v = g + 12; n = z + 7; t = m + 14; g = 13; p = j + 3. If g = 13, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = q + 3 to r, which gives r = q + 11.\n2. Substitute q = n + 19 to r, which gives r = n + 30.\n3. Substitute n = z + 7 to r, which gives r = z + 37.\n4. Substitute z = v + 12 to r, which gives r = v + 49.\n5. Substitute v = g + 12 to r, which gives r = g + 61.\n6. Substitute g = 13 to r, which gives r = 74.\n\nThus, the final answer is r = \\boxed{74}.",
"index": 568,
"question": "Consider a system of variables where each variable is defined as follows: d = g + 4; q = n + 19; r = l + 8; z = v + 12; k = d + 3; m = k + 19; l = q + 3; j = t + 6; v = g + 12; n = z + 7; t = m + 14; g = 13; p = j + 3. If g = 13, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"j": "c + 4", "r": "j + 1", "g": "r + 18", "q": "g + 5", "e": "q + 11", "d": "e + 17", "v": "c + 3", "n": "v + 8", "p": "n + 9", "m": "p + 12", "f": "m + 3", "u": "f + 4", "c": 1}, "premises": {"c": 1}, "target": "d"}, "answer": {"steps": [["e", "q + 11", "q + 28"], ["q", "g + 5", "g + 33"], ["g", "r + 18", "r + 51"], ["r", "j + 1", "j + 52"], ["j", "c + 4", "c + 56"], ["c", 1, "57"]], "target_var_name": "d", "target_value": 57, "value_dict": {"c": 1}, "is_reverse": true}}
| 569
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = c + 3; q = g + 5; e = q + 11; u = f + 4; p = n + 9; r = j + 1; m = p + 12; n = v + 8; j = c + 4; g = r + 18; c = 1; d = e + 17; f = m + 3. If c = 1, 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 e = q + 11 to d, which gives d = q + 28.\n2. Substitute q = g + 5 to d, which gives d = g + 33.\n3. Substitute g = r + 18 to d, which gives d = r + 51.\n4. Substitute r = j + 1 to d, which gives d = j + 52.\n5. Substitute j = c + 4 to d, which gives d = c + 56.\n6. Substitute c = 1 to d, which gives d = 57.\n\nThus, the final answer is d = \\boxed{57}.",
"index": 569,
"question": "Consider a system of variables where each variable is defined as follows: v = c + 3; q = g + 5; e = q + 11; u = f + 4; p = n + 9; r = j + 1; m = p + 12; n = v + 8; j = c + 4; g = r + 18; c = 1; d = e + 17; f = m + 3. If c = 1, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"b": "c + 6", "w": "b + 7", "f": "w + 16", "p": "f + 4", "j": "p + 14", "y": "j + 10", "o": "c + 18", "h": "o + 2", "m": "h + 3", "g": "m + 6", "q": "g + 6", "t": "q + 15", "c": 11}, "premises": {"c": 11}, "target": "y"}, "answer": {"steps": [["j", "p + 14", "p + 24"], ["p", "f + 4", "f + 28"], ["f", "w + 16", "w + 44"], ["w", "b + 7", "b + 51"], ["b", "c + 6", "c + 57"], ["c", 11, "68"]], "target_var_name": "y", "target_value": 68, "value_dict": {"c": 11}, "is_reverse": true}}
| 570
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = m + 6; h = o + 2; y = j + 10; w = b + 7; b = c + 6; j = p + 14; q = g + 6; o = c + 18; t = q + 15; c = 11; m = h + 3; f = w + 16; p = f + 4. If c = 11, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = p + 14 to y, which gives y = p + 24.\n2. Substitute p = f + 4 to y, which gives y = f + 28.\n3. Substitute f = w + 16 to y, which gives y = w + 44.\n4. Substitute w = b + 7 to y, which gives y = b + 51.\n5. Substitute b = c + 6 to y, which gives y = c + 57.\n6. Substitute c = 11 to y, which gives y = 68.\n\nThus, the final answer is y = \\boxed{68}.",
"index": 570,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = m + 6; h = o + 2; y = j + 10; w = b + 7; b = c + 6; j = p + 14; q = g + 6; o = c + 18; t = q + 15; c = 11; m = h + 3; f = w + 16; p = f + 4. If c = 11, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"l": "d + 16", "w": "l + 19", "v": "w + 3", "k": "v + 20", "x": "k + 13", "s": "x + 4", "q": "d + 10", "h": "q + 7", "g": "h + 11", "f": "g + 10", "u": "f + 15", "y": "u + 15", "d": 1}, "premises": {"d": 1}, "target": "s"}, "answer": {"steps": [["x", "k + 13", "k + 17"], ["k", "v + 20", "v + 37"], ["v", "w + 3", "w + 40"], ["w", "l + 19", "l + 59"], ["l", "d + 16", "d + 75"], ["d", 1, "76"]], "target_var_name": "s", "target_value": 76, "value_dict": {"d": 1}, "is_reverse": true}}
| 571
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = d + 10; v = w + 3; k = v + 20; x = k + 13; y = u + 15; u = f + 15; w = l + 19; d = 1; g = h + 11; h = q + 7; l = d + 16; f = g + 10; s = x + 4. If d = 1, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = k + 13 to s, which gives s = k + 17.\n2. Substitute k = v + 20 to s, which gives s = v + 37.\n3. Substitute v = w + 3 to s, which gives s = w + 40.\n4. Substitute w = l + 19 to s, which gives s = l + 59.\n5. Substitute l = d + 16 to s, which gives s = d + 75.\n6. Substitute d = 1 to s, which gives s = 76.\n\nThus, the final answer is s = \\boxed{76}.",
"index": 571,
"question": "Consider a system of variables where each variable is defined as follows: q = d + 10; v = w + 3; k = v + 20; x = k + 13; y = u + 15; u = f + 15; w = l + 19; d = 1; g = h + 11; h = q + 7; l = d + 16; f = g + 10; s = x + 4. If d = 1, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"f": "x + 1", "t": "f + 5", "i": "t + 4", "l": "i + 15", "v": "l + 17", "c": "v + 6", "n": "x + 1", "y": "n + 16", "o": "y + 5", "h": "o + 13", "m": "h + 19", "a": "m + 7", "x": 13}, "premises": {"x": 13}, "target": "c"}, "answer": {"steps": [["v", "l + 17", "l + 23"], ["l", "i + 15", "i + 38"], ["i", "t + 4", "t + 42"], ["t", "f + 5", "f + 47"], ["f", "x + 1", "x + 48"], ["x", 13, "61"]], "target_var_name": "c", "target_value": 61, "value_dict": {"x": 13}, "is_reverse": true}}
| 572
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = v + 6; y = n + 16; t = f + 5; l = i + 15; h = o + 13; x = 13; a = m + 7; m = h + 19; o = y + 5; i = t + 4; f = x + 1; v = l + 17; n = x + 1. Given that x = 13, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = l + 17 to c, which gives c = l + 23.\n2. Substitute l = i + 15 to c, which gives c = i + 38.\n3. Substitute i = t + 4 to c, which gives c = t + 42.\n4. Substitute t = f + 5 to c, which gives c = f + 47.\n5. Substitute f = x + 1 to c, which gives c = x + 48.\n6. Substitute x = 13 to c, which gives c = 61.\n\nThus, the final answer is c = \\boxed{61}.",
"index": 572,
"question": "Suppose a collection of variables is related by the following definitions: c = v + 6; y = n + 16; t = f + 5; l = i + 15; h = o + 13; x = 13; a = m + 7; m = h + 19; o = y + 5; i = t + 4; f = x + 1; v = l + 17; n = x + 1. Given that x = 13, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"t": "z + 6", "r": "t + 9", "o": "r + 20", "s": "o + 8", "c": "s + 10", "k": "c + 1", "x": "z + 5", "n": "x + 15", "h": "n + 4", "f": "h + 7", "v": "f + 18", "u": "v + 16", "z": 2}, "premises": {"z": 2}, "target": "k"}, "answer": {"steps": [["c", "s + 10", "s + 11"], ["s", "o + 8", "o + 19"], ["o", "r + 20", "r + 39"], ["r", "t + 9", "t + 48"], ["t", "z + 6", "z + 54"], ["z", 2, "56"]], "target_var_name": "k", "target_value": 56, "value_dict": {"z": 2}, "is_reverse": true}}
| 573
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = t + 9; o = r + 20; f = h + 7; s = o + 8; k = c + 1; v = f + 18; u = v + 16; t = z + 6; x = z + 5; n = x + 15; h = n + 4; z = 2; c = s + 10. Given that z = 2, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = s + 10 to k, which gives k = s + 11.\n2. Substitute s = o + 8 to k, which gives k = o + 19.\n3. Substitute o = r + 20 to k, which gives k = r + 39.\n4. Substitute r = t + 9 to k, which gives k = t + 48.\n5. Substitute t = z + 6 to k, which gives k = z + 54.\n6. Substitute z = 2 to k, which gives k = 56.\n\nThus, the final answer is k = \\boxed{56}.",
"index": 573,
"question": "Suppose a collection of variables is related by the following definitions: r = t + 9; o = r + 20; f = h + 7; s = o + 8; k = c + 1; v = f + 18; u = v + 16; t = z + 6; x = z + 5; n = x + 15; h = n + 4; z = 2; c = s + 10. Given that z = 2, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"g": "q + 19", "n": "g + 3", "d": "n + 17", "y": "d + 2", "l": "y + 9", "m": "l + 17", "v": "q + 14", "j": "v + 19", "r": "j + 2", "w": "r + 14", "p": "w + 11", "b": "p + 8", "q": 1}, "premises": {"q": 1}, "target": "m"}, "answer": {"steps": [["l", "y + 9", "y + 26"], ["y", "d + 2", "d + 28"], ["d", "n + 17", "n + 45"], ["n", "g + 3", "g + 48"], ["g", "q + 19", "q + 67"], ["q", 1, "68"]], "target_var_name": "m", "target_value": 68, "value_dict": {"q": 1}, "is_reverse": true}}
| 574
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = j + 2; w = r + 14; v = q + 14; d = n + 17; y = d + 2; l = y + 9; n = g + 3; j = v + 19; b = p + 8; p = w + 11; m = l + 17; q = 1; g = q + 19. If q = 1, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = y + 9 to m, which gives m = y + 26.\n2. Substitute y = d + 2 to m, which gives m = d + 28.\n3. Substitute d = n + 17 to m, which gives m = n + 45.\n4. Substitute n = g + 3 to m, which gives m = g + 48.\n5. Substitute g = q + 19 to m, which gives m = q + 67.\n6. Substitute q = 1 to m, which gives m = 68.\n\nThus, the final answer is m = \\boxed{68}.",
"index": 574,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = j + 2; w = r + 14; v = q + 14; d = n + 17; y = d + 2; l = y + 9; n = g + 3; j = v + 19; b = p + 8; p = w + 11; m = l + 17; q = 1; g = q + 19. If q = 1, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"q": "v + 7", "i": "q + 14", "m": "i + 6", "z": "m + 19", "f": "z + 18", "r": "f + 11", "j": "v + 13", "e": "j + 12", "y": "e + 8", "t": "y + 10", "b": "t + 20", "o": "b + 19", "v": 9}, "premises": {"v": 9}, "target": "r"}, "answer": {"steps": [["f", "z + 18", "z + 29"], ["z", "m + 19", "m + 48"], ["m", "i + 6", "i + 54"], ["i", "q + 14", "q + 68"], ["q", "v + 7", "v + 75"], ["v", 9, "84"]], "target_var_name": "r", "target_value": 84, "value_dict": {"v": 9}, "is_reverse": true}}
| 575
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = z + 18; j = v + 13; o = b + 19; t = y + 10; z = m + 19; m = i + 6; q = v + 7; r = f + 11; b = t + 20; v = 9; e = j + 12; i = q + 14; y = e + 8. If v = 9, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = z + 18 to r, which gives r = z + 29.\n2. Substitute z = m + 19 to r, which gives r = m + 48.\n3. Substitute m = i + 6 to r, which gives r = i + 54.\n4. Substitute i = q + 14 to r, which gives r = q + 68.\n5. Substitute q = v + 7 to r, which gives r = v + 75.\n6. Substitute v = 9 to r, which gives r = 84.\n\nThus, the final answer is r = \\boxed{84}.",
"index": 575,
"question": "Consider a system of variables where each variable is defined as follows: f = z + 18; j = v + 13; o = b + 19; t = y + 10; z = m + 19; m = i + 6; q = v + 7; r = f + 11; b = t + 20; v = 9; e = j + 12; i = q + 14; y = e + 8. If v = 9, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"n": "d + 3", "r": "n + 20", "p": "r + 5", "k": "p + 18", "t": "k + 8", "l": "t + 3", "j": "d + 11", "i": "j + 17", "b": "i + 14", "f": "b + 18", "a": "f + 6", "v": "a + 2", "d": 18}, "premises": {"d": 18}, "target": "l"}, "answer": {"steps": [["t", "k + 8", "k + 11"], ["k", "p + 18", "p + 29"], ["p", "r + 5", "r + 34"], ["r", "n + 20", "n + 54"], ["n", "d + 3", "d + 57"], ["d", 18, "75"]], "target_var_name": "l", "target_value": 75, "value_dict": {"d": 18}, "is_reverse": true}}
| 576
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = d + 11; k = p + 18; t = k + 8; b = i + 14; f = b + 18; a = f + 6; p = r + 5; l = t + 3; d = 18; n = d + 3; r = n + 20; v = a + 2; i = j + 17. If d = 18, what is the resulting 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 t = k + 8 to l, which gives l = k + 11.\n2. Substitute k = p + 18 to l, which gives l = p + 29.\n3. Substitute p = r + 5 to l, which gives l = r + 34.\n4. Substitute r = n + 20 to l, which gives l = n + 54.\n5. Substitute n = d + 3 to l, which gives l = d + 57.\n6. Substitute d = 18 to l, which gives l = 75.\n\nThus, the final answer is l = \\boxed{75}.",
"index": 576,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = d + 11; k = p + 18; t = k + 8; b = i + 14; f = b + 18; a = f + 6; p = r + 5; l = t + 3; d = 18; n = d + 3; r = n + 20; v = a + 2; i = j + 17. If d = 18, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"j": "q + 5", "p": "j + 19", "t": "p + 17", "c": "t + 15", "b": "c + 3", "g": "b + 17", "x": "q + 6", "m": "x + 7", "y": "m + 10", "v": "y + 15", "w": "v + 8", "h": "w + 17", "q": 16}, "premises": {"q": 16}, "target": "g"}, "answer": {"steps": [["b", "c + 3", "c + 20"], ["c", "t + 15", "t + 35"], ["t", "p + 17", "p + 52"], ["p", "j + 19", "j + 71"], ["j", "q + 5", "q + 76"], ["q", 16, "92"]], "target_var_name": "g", "target_value": 92, "value_dict": {"q": 16}, "is_reverse": true}}
| 577
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = y + 15; j = q + 5; p = j + 19; x = q + 6; y = m + 10; c = t + 15; b = c + 3; w = v + 8; q = 16; h = w + 17; g = b + 17; t = p + 17; m = x + 7. If q = 16, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = c + 3 to g, which gives g = c + 20.\n2. Substitute c = t + 15 to g, which gives g = t + 35.\n3. Substitute t = p + 17 to g, which gives g = p + 52.\n4. Substitute p = j + 19 to g, which gives g = j + 71.\n5. Substitute j = q + 5 to g, which gives g = q + 76.\n6. Substitute q = 16 to g, which gives g = 92.\n\nThus, the final answer is g = \\boxed{92}.",
"index": 577,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = y + 15; j = q + 5; p = j + 19; x = q + 6; y = m + 10; c = t + 15; b = c + 3; w = v + 8; q = 16; h = w + 17; g = b + 17; t = p + 17; m = x + 7. If q = 16, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"c": "m + 17", "u": "c + 1", "y": "u + 11", "e": "y + 7", "a": "e + 6", "n": "a + 17", "x": "m + 20", "t": "x + 3", "v": "t + 9", "p": "v + 1", "l": "p + 12", "b": "l + 19", "m": 13}, "premises": {"m": 13}, "target": "n"}, "answer": {"steps": [["a", "e + 6", "e + 23"], ["e", "y + 7", "y + 30"], ["y", "u + 11", "u + 41"], ["u", "c + 1", "c + 42"], ["c", "m + 17", "m + 59"], ["m", 13, "72"]], "target_var_name": "n", "target_value": 72, "value_dict": {"m": 13}, "is_reverse": true}}
| 578
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = v + 1; b = l + 19; n = a + 17; a = e + 6; c = m + 17; x = m + 20; l = p + 12; v = t + 9; m = 13; u = c + 1; t = x + 3; e = y + 7; y = u + 11. Given that m = 13, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = e + 6 to n, which gives n = e + 23.\n2. Substitute e = y + 7 to n, which gives n = y + 30.\n3. Substitute y = u + 11 to n, which gives n = u + 41.\n4. Substitute u = c + 1 to n, which gives n = c + 42.\n5. Substitute c = m + 17 to n, which gives n = m + 59.\n6. Substitute m = 13 to n, which gives n = 72.\n\nThus, the final answer is n = \\boxed{72}.",
"index": 578,
"question": "Suppose a collection of variables is related by the following definitions: p = v + 1; b = l + 19; n = a + 17; a = e + 6; c = m + 17; x = m + 20; l = p + 12; v = t + 9; m = 13; u = c + 1; t = x + 3; e = y + 7; y = u + 11. Given that m = 13, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"i": "b + 2", "o": "i + 20", "a": "o + 7", "u": "a + 18", "n": "u + 9", "w": "n + 18", "e": "b + 19", "s": "e + 13", "g": "s + 10", "z": "g + 17", "q": "z + 8", "r": "q + 13", "b": 8}, "premises": {"b": 8}, "target": "w"}, "answer": {"steps": [["n", "u + 9", "u + 27"], ["u", "a + 18", "a + 45"], ["a", "o + 7", "o + 52"], ["o", "i + 20", "i + 72"], ["i", "b + 2", "b + 74"], ["b", 8, "82"]], "target_var_name": "w", "target_value": 82, "value_dict": {"b": 8}, "is_reverse": true}}
| 579
| 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 = s + 10; s = e + 13; a = o + 7; n = u + 9; o = i + 20; e = b + 19; z = g + 17; i = b + 2; q = z + 8; r = q + 13; b = 8; w = n + 18; u = a + 18. If b = 8, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = u + 9 to w, which gives w = u + 27.\n2. Substitute u = a + 18 to w, which gives w = a + 45.\n3. Substitute a = o + 7 to w, which gives w = o + 52.\n4. Substitute o = i + 20 to w, which gives w = i + 72.\n5. Substitute i = b + 2 to w, which gives w = b + 74.\n6. Substitute b = 8 to w, which gives w = 82.\n\nThus, the final answer is w = \\boxed{82}.",
"index": 579,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = s + 10; s = e + 13; a = o + 7; n = u + 9; o = i + 20; e = b + 19; z = g + 17; i = b + 2; q = z + 8; r = q + 13; b = 8; w = n + 18; u = a + 18. If b = 8, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"o": "p + 11", "q": "o + 10", "c": "q + 12", "h": "c + 5", "k": "h + 12", "s": "k + 16", "u": "p + 5", "m": "u + 8", "y": "m + 7", "r": "y + 20", "t": "r + 12", "z": "t + 6", "p": 10}, "premises": {"p": 10}, "target": "s"}, "answer": {"steps": [["k", "h + 12", "h + 28"], ["h", "c + 5", "c + 33"], ["c", "q + 12", "q + 45"], ["q", "o + 10", "o + 55"], ["o", "p + 11", "p + 66"], ["p", 10, "76"]], "target_var_name": "s", "target_value": 76, "value_dict": {"p": 10}, "is_reverse": true}}
| 580
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = c + 5; m = u + 8; p = 10; o = p + 11; c = q + 12; z = t + 6; r = y + 20; s = k + 16; u = p + 5; q = o + 10; y = m + 7; k = h + 12; t = r + 12. Given that p = 10, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = h + 12 to s, which gives s = h + 28.\n2. Substitute h = c + 5 to s, which gives s = c + 33.\n3. Substitute c = q + 12 to s, which gives s = q + 45.\n4. Substitute q = o + 10 to s, which gives s = o + 55.\n5. Substitute o = p + 11 to s, which gives s = p + 66.\n6. Substitute p = 10 to s, which gives s = 76.\n\nThus, the final answer is s = \\boxed{76}.",
"index": 580,
"question": "Suppose a collection of variables is related by the following definitions: h = c + 5; m = u + 8; p = 10; o = p + 11; c = q + 12; z = t + 6; r = y + 20; s = k + 16; u = p + 5; q = o + 10; y = m + 7; k = h + 12; t = r + 12. Given that p = 10, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"n": "l + 4", "i": "n + 16", "s": "i + 20", "w": "s + 16", "e": "w + 12", "p": "e + 19", "z": "l + 14", "y": "z + 15", "x": "y + 3", "m": "x + 14", "t": "m + 16", "b": "t + 13", "l": 4}, "premises": {"l": 4}, "target": "p"}, "answer": {"steps": [["e", "w + 12", "w + 31"], ["w", "s + 16", "s + 47"], ["s", "i + 20", "i + 67"], ["i", "n + 16", "n + 83"], ["n", "l + 4", "l + 87"], ["l", 4, "91"]], "target_var_name": "p", "target_value": 91, "value_dict": {"l": 4}, "is_reverse": true}}
| 581
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = y + 3; p = e + 19; n = l + 4; e = w + 12; m = x + 14; y = z + 15; z = l + 14; i = n + 16; l = 4; w = s + 16; s = i + 20; t = m + 16; b = t + 13. If l = 4, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = w + 12 to p, which gives p = w + 31.\n2. Substitute w = s + 16 to p, which gives p = s + 47.\n3. Substitute s = i + 20 to p, which gives p = i + 67.\n4. Substitute i = n + 16 to p, which gives p = n + 83.\n5. Substitute n = l + 4 to p, which gives p = l + 87.\n6. Substitute l = 4 to p, which gives p = 91.\n\nThus, the final answer is p = \\boxed{91}.",
"index": 581,
"question": "Consider a system of variables where each variable is defined as follows: x = y + 3; p = e + 19; n = l + 4; e = w + 12; m = x + 14; y = z + 15; z = l + 14; i = n + 16; l = 4; w = s + 16; s = i + 20; t = m + 16; b = t + 13. If l = 4, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"t": "q + 19", "s": "t + 12", "u": "s + 10", "k": "u + 2", "e": "k + 16", "h": "e + 13", "p": "q + 14", "x": "p + 15", "d": "x + 19", "g": "d + 7", "l": "g + 4", "i": "l + 12", "q": 8}, "premises": {"q": 8}, "target": "h"}, "answer": {"steps": [["e", "k + 16", "k + 29"], ["k", "u + 2", "u + 31"], ["u", "s + 10", "s + 41"], ["s", "t + 12", "t + 53"], ["t", "q + 19", "q + 72"], ["q", 8, "80"]], "target_var_name": "h", "target_value": 80, "value_dict": {"q": 8}, "is_reverse": true}}
| 582
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = u + 2; l = g + 4; g = d + 7; u = s + 10; q = 8; t = q + 19; s = t + 12; x = p + 15; p = q + 14; e = k + 16; i = l + 12; h = e + 13; d = x + 19. Given that q = 8, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = k + 16 to h, which gives h = k + 29.\n2. Substitute k = u + 2 to h, which gives h = u + 31.\n3. Substitute u = s + 10 to h, which gives h = s + 41.\n4. Substitute s = t + 12 to h, which gives h = t + 53.\n5. Substitute t = q + 19 to h, which gives h = q + 72.\n6. Substitute q = 8 to h, which gives h = 80.\n\nThus, the final answer is h = \\boxed{80}.",
"index": 582,
"question": "Suppose a collection of variables is related by the following definitions: k = u + 2; l = g + 4; g = d + 7; u = s + 10; q = 8; t = q + 19; s = t + 12; x = p + 15; p = q + 14; e = k + 16; i = l + 12; h = e + 13; d = x + 19. Given that q = 8, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"i": "l + 1", "r": "i + 13", "a": "r + 5", "d": "a + 7", "p": "d + 17", "k": "p + 10", "y": "l + 3", "z": "y + 5", "x": "z + 7", "u": "x + 18", "b": "u + 16", "c": "b + 8", "l": 13}, "premises": {"l": 13}, "target": "k"}, "answer": {"steps": [["p", "d + 17", "d + 27"], ["d", "a + 7", "a + 34"], ["a", "r + 5", "r + 39"], ["r", "i + 13", "i + 52"], ["i", "l + 1", "l + 53"], ["l", 13, "66"]], "target_var_name": "k", "target_value": 66, "value_dict": {"l": 13}, "is_reverse": true}}
| 583
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = b + 8; i = l + 1; b = u + 16; r = i + 13; d = a + 7; k = p + 10; u = x + 18; l = 13; a = r + 5; p = d + 17; x = z + 7; y = l + 3; z = y + 5. If l = 13, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = d + 17 to k, which gives k = d + 27.\n2. Substitute d = a + 7 to k, which gives k = a + 34.\n3. Substitute a = r + 5 to k, which gives k = r + 39.\n4. Substitute r = i + 13 to k, which gives k = i + 52.\n5. Substitute i = l + 1 to k, which gives k = l + 53.\n6. Substitute l = 13 to k, which gives k = 66.\n\nThus, the final answer is k = \\boxed{66}.",
"index": 583,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = b + 8; i = l + 1; b = u + 16; r = i + 13; d = a + 7; k = p + 10; u = x + 18; l = 13; a = r + 5; p = d + 17; x = z + 7; y = l + 3; z = y + 5. If l = 13, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"u": "a + 9", "d": "u + 7", "p": "d + 3", "w": "p + 4", "q": "w + 8", "o": "q + 12", "v": "a + 11", "i": "v + 11", "k": "i + 10", "c": "k + 16", "g": "c + 7", "x": "g + 8", "a": 15}, "premises": {"a": 15}, "target": "o"}, "answer": {"steps": [["q", "w + 8", "w + 20"], ["w", "p + 4", "p + 24"], ["p", "d + 3", "d + 27"], ["d", "u + 7", "u + 34"], ["u", "a + 9", "a + 43"], ["a", 15, "58"]], "target_var_name": "o", "target_value": 58, "value_dict": {"a": 15}, "is_reverse": true}}
| 584
| 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 = v + 11; w = p + 4; p = d + 3; x = g + 8; a = 15; u = a + 9; q = w + 8; c = k + 16; d = u + 7; v = a + 11; k = i + 10; g = c + 7; o = q + 12. If a = 15, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = w + 8 to o, which gives o = w + 20.\n2. Substitute w = p + 4 to o, which gives o = p + 24.\n3. Substitute p = d + 3 to o, which gives o = d + 27.\n4. Substitute d = u + 7 to o, which gives o = u + 34.\n5. Substitute u = a + 9 to o, which gives o = a + 43.\n6. Substitute a = 15 to o, which gives o = 58.\n\nThus, the final answer is o = \\boxed{58}.",
"index": 584,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = v + 11; w = p + 4; p = d + 3; x = g + 8; a = 15; u = a + 9; q = w + 8; c = k + 16; d = u + 7; v = a + 11; k = i + 10; g = c + 7; o = q + 12. If a = 15, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"w": "i + 8", "d": "w + 12", "m": "d + 12", "b": "m + 7", "h": "b + 19", "k": "h + 13", "e": "i + 20", "n": "e + 20", "o": "n + 8", "j": "o + 17", "t": "j + 12", "c": "t + 17", "i": 9}, "premises": {"i": 9}, "target": "k"}, "answer": {"steps": [["h", "b + 19", "b + 32"], ["b", "m + 7", "m + 39"], ["m", "d + 12", "d + 51"], ["d", "w + 12", "w + 63"], ["w", "i + 8", "i + 71"], ["i", 9, "80"]], "target_var_name": "k", "target_value": 80, "value_dict": {"i": 9}, "is_reverse": true}}
| 585
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = d + 12; h = b + 19; e = i + 20; b = m + 7; t = j + 12; k = h + 13; o = n + 8; d = w + 12; w = i + 8; j = o + 17; i = 9; n = e + 20; c = t + 17. Given that i = 9, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = b + 19 to k, which gives k = b + 32.\n2. Substitute b = m + 7 to k, which gives k = m + 39.\n3. Substitute m = d + 12 to k, which gives k = d + 51.\n4. Substitute d = w + 12 to k, which gives k = w + 63.\n5. Substitute w = i + 8 to k, which gives k = i + 71.\n6. Substitute i = 9 to k, which gives k = 80.\n\nThus, the final answer is k = \\boxed{80}.",
"index": 585,
"question": "Suppose a collection of variables is related by the following definitions: m = d + 12; h = b + 19; e = i + 20; b = m + 7; t = j + 12; k = h + 13; o = n + 8; d = w + 12; w = i + 8; j = o + 17; i = 9; n = e + 20; c = t + 17. Given that i = 9, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"u": "m + 11", "x": "u + 7", "l": "x + 11", "j": "l + 19", "p": "j + 10", "a": "p + 17", "z": "m + 6", "b": "z + 6", "o": "b + 6", "r": "o + 4", "f": "r + 11", "c": "f + 1", "m": 13}, "premises": {"m": 13}, "target": "a"}, "answer": {"steps": [["p", "j + 10", "j + 27"], ["j", "l + 19", "l + 46"], ["l", "x + 11", "x + 57"], ["x", "u + 7", "u + 64"], ["u", "m + 11", "m + 75"], ["m", 13, "88"]], "target_var_name": "a", "target_value": 88, "value_dict": {"m": 13}, "is_reverse": true}}
| 586
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = j + 10; a = p + 17; r = o + 4; j = l + 19; b = z + 6; m = 13; l = x + 11; x = u + 7; c = f + 1; u = m + 11; z = m + 6; f = r + 11; o = b + 6. If m = 13, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = j + 10 to a, which gives a = j + 27.\n2. Substitute j = l + 19 to a, which gives a = l + 46.\n3. Substitute l = x + 11 to a, which gives a = x + 57.\n4. Substitute x = u + 7 to a, which gives a = u + 64.\n5. Substitute u = m + 11 to a, which gives a = m + 75.\n6. Substitute m = 13 to a, which gives a = 88.\n\nThus, the final answer is a = \\boxed{88}.",
"index": 586,
"question": "Consider a system of variables where each variable is defined as follows: p = j + 10; a = p + 17; r = o + 4; j = l + 19; b = z + 6; m = 13; l = x + 11; x = u + 7; c = f + 1; u = m + 11; z = m + 6; f = r + 11; o = b + 6. If m = 13, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"x": "y + 13", "j": "x + 12", "o": "j + 15", "t": "o + 19", "c": "t + 11", "n": "c + 18", "s": "y + 7", "b": "s + 4", "i": "b + 1", "k": "i + 16", "l": "k + 12", "h": "l + 6", "y": 16}, "premises": {"y": 16}, "target": "n"}, "answer": {"steps": [["c", "t + 11", "t + 29"], ["t", "o + 19", "o + 48"], ["o", "j + 15", "j + 63"], ["j", "x + 12", "x + 75"], ["x", "y + 13", "y + 88"], ["y", 16, "104"]], "target_var_name": "n", "target_value": 104, "value_dict": {"y": 16}, "is_reverse": true}}
| 587
| 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 = i + 16; j = x + 12; t = o + 19; s = y + 7; i = b + 1; h = l + 6; b = s + 4; c = t + 11; l = k + 12; y = 16; n = c + 18; x = y + 13; o = j + 15. If y = 16, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 104,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = t + 11 to n, which gives n = t + 29.\n2. Substitute t = o + 19 to n, which gives n = o + 48.\n3. Substitute o = j + 15 to n, which gives n = j + 63.\n4. Substitute j = x + 12 to n, which gives n = x + 75.\n5. Substitute x = y + 13 to n, which gives n = y + 88.\n6. Substitute y = 16 to n, which gives n = 104.\n\nThus, the final answer is n = \\boxed{104}.",
"index": 587,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = i + 16; j = x + 12; t = o + 19; s = y + 7; i = b + 1; h = l + 6; b = s + 4; c = t + 11; l = k + 12; y = 16; n = c + 18; x = y + 13; o = j + 15. If y = 16, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"g": "y + 17", "n": "g + 10", "r": "n + 12", "z": "r + 19", "j": "z + 8", "h": "j + 5", "v": "y + 11", "d": "v + 13", "q": "d + 5", "b": "q + 17", "e": "b + 14", "u": "e + 19", "y": 8}, "premises": {"y": 8}, "target": "h"}, "answer": {"steps": [["j", "z + 8", "z + 13"], ["z", "r + 19", "r + 32"], ["r", "n + 12", "n + 44"], ["n", "g + 10", "g + 54"], ["g", "y + 17", "y + 71"], ["y", 8, "79"]], "target_var_name": "h", "target_value": 79, "value_dict": {"y": 8}, "is_reverse": true}}
| 588
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = 8; d = v + 13; z = r + 19; r = n + 12; b = q + 17; g = y + 17; v = y + 11; e = b + 14; h = j + 5; q = d + 5; j = z + 8; n = g + 10; u = e + 19. If y = 8, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = z + 8 to h, which gives h = z + 13.\n2. Substitute z = r + 19 to h, which gives h = r + 32.\n3. Substitute r = n + 12 to h, which gives h = n + 44.\n4. Substitute n = g + 10 to h, which gives h = g + 54.\n5. Substitute g = y + 17 to h, which gives h = y + 71.\n6. Substitute y = 8 to h, which gives h = 79.\n\nThus, the final answer is h = \\boxed{79}.",
"index": 588,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = 8; d = v + 13; z = r + 19; r = n + 12; b = q + 17; g = y + 17; v = y + 11; e = b + 14; h = j + 5; q = d + 5; j = z + 8; n = g + 10; u = e + 19. If y = 8, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"n": "c + 17", "y": "n + 16", "t": "y + 17", "b": "t + 1", "x": "b + 9", "l": "x + 13", "e": "c + 14", "o": "e + 8", "h": "o + 7", "m": "h + 2", "p": "m + 19", "s": "p + 18", "c": 10}, "premises": {"c": 10}, "target": "l"}, "answer": {"steps": [["x", "b + 9", "b + 22"], ["b", "t + 1", "t + 23"], ["t", "y + 17", "y + 40"], ["y", "n + 16", "n + 56"], ["n", "c + 17", "c + 73"], ["c", 10, "83"]], "target_var_name": "l", "target_value": 83, "value_dict": {"c": 10}, "is_reverse": true}}
| 589
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = b + 9; t = y + 17; o = e + 8; y = n + 16; h = o + 7; p = m + 19; l = x + 13; n = c + 17; m = h + 2; b = t + 1; c = 10; e = c + 14; s = p + 18. If c = 10, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = b + 9 to l, which gives l = b + 22.\n2. Substitute b = t + 1 to l, which gives l = t + 23.\n3. Substitute t = y + 17 to l, which gives l = y + 40.\n4. Substitute y = n + 16 to l, which gives l = n + 56.\n5. Substitute n = c + 17 to l, which gives l = c + 73.\n6. Substitute c = 10 to l, which gives l = 83.\n\nThus, the final answer is l = \\boxed{83}.",
"index": 589,
"question": "Consider a system of variables where each variable is defined as follows: x = b + 9; t = y + 17; o = e + 8; y = n + 16; h = o + 7; p = m + 19; l = x + 13; n = c + 17; m = h + 2; b = t + 1; c = 10; e = c + 14; s = p + 18. If c = 10, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"r": "k + 6", "v": "r + 15", "d": "v + 7", "l": "d + 7", "a": "l + 6", "o": "a + 13", "f": "k + 1", "u": "f + 8", "q": "u + 16", "m": "q + 12", "j": "m + 2", "b": "j + 13", "k": 1}, "premises": {"k": 1}, "target": "o"}, "answer": {"steps": [["a", "l + 6", "l + 19"], ["l", "d + 7", "d + 26"], ["d", "v + 7", "v + 33"], ["v", "r + 15", "r + 48"], ["r", "k + 6", "k + 54"], ["k", 1, "55"]], "target_var_name": "o", "target_value": 55, "value_dict": {"k": 1}, "is_reverse": true}}
| 590
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = l + 6; l = d + 7; u = f + 8; q = u + 16; r = k + 6; v = r + 15; o = a + 13; d = v + 7; j = m + 2; f = k + 1; m = q + 12; k = 1; b = j + 13. Given that k = 1, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = l + 6 to o, which gives o = l + 19.\n2. Substitute l = d + 7 to o, which gives o = d + 26.\n3. Substitute d = v + 7 to o, which gives o = v + 33.\n4. Substitute v = r + 15 to o, which gives o = r + 48.\n5. Substitute r = k + 6 to o, which gives o = k + 54.\n6. Substitute k = 1 to o, which gives o = 55.\n\nThus, the final answer is o = \\boxed{55}.",
"index": 590,
"question": "Suppose a collection of variables is related by the following definitions: a = l + 6; l = d + 7; u = f + 8; q = u + 16; r = k + 6; v = r + 15; o = a + 13; d = v + 7; j = m + 2; f = k + 1; m = q + 12; k = 1; b = j + 13. Given that k = 1, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"w": "k + 15", "l": "w + 9", "x": "l + 15", "p": "x + 4", "o": "p + 1", "r": "o + 1", "z": "k + 13", "i": "z + 13", "a": "i + 10", "t": "a + 20", "y": "t + 20", "j": "y + 15", "k": 9}, "premises": {"k": 9}, "target": "r"}, "answer": {"steps": [["o", "p + 1", "p + 2"], ["p", "x + 4", "x + 6"], ["x", "l + 15", "l + 21"], ["l", "w + 9", "w + 30"], ["w", "k + 15", "k + 45"], ["k", 9, "54"]], "target_var_name": "r", "target_value": 54, "value_dict": {"k": 9}, "is_reverse": true}}
| 591
| 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 + 15; t = a + 20; y = t + 20; p = x + 4; z = k + 13; l = w + 9; w = k + 15; a = i + 10; k = 9; x = l + 15; o = p + 1; r = o + 1; i = z + 13. If k = 9, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = p + 1 to r, which gives r = p + 2.\n2. Substitute p = x + 4 to r, which gives r = x + 6.\n3. Substitute x = l + 15 to r, which gives r = l + 21.\n4. Substitute l = w + 9 to r, which gives r = w + 30.\n5. Substitute w = k + 15 to r, which gives r = k + 45.\n6. Substitute k = 9 to r, which gives r = 54.\n\nThus, the final answer is r = \\boxed{54}.",
"index": 591,
"question": "Consider a system of variables where each variable is defined as follows: j = y + 15; t = a + 20; y = t + 20; p = x + 4; z = k + 13; l = w + 9; w = k + 15; a = i + 10; k = 9; x = l + 15; o = p + 1; r = o + 1; i = z + 13. If k = 9, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"e": "v + 8", "j": "e + 15", "c": "j + 13", "d": "c + 9", "n": "d + 3", "a": "n + 12", "s": "v + 14", "f": "s + 12", "y": "f + 4", "q": "y + 3", "i": "q + 18", "w": "i + 13", "v": 9}, "premises": {"v": 9}, "target": "a"}, "answer": {"steps": [["n", "d + 3", "d + 15"], ["d", "c + 9", "c + 24"], ["c", "j + 13", "j + 37"], ["j", "e + 15", "e + 52"], ["e", "v + 8", "v + 60"], ["v", 9, "69"]], "target_var_name": "a", "target_value": 69, "value_dict": {"v": 9}, "is_reverse": true}}
| 592
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = y + 3; y = f + 4; j = e + 15; c = j + 13; w = i + 13; v = 9; f = s + 12; i = q + 18; s = v + 14; d = c + 9; n = d + 3; e = v + 8; a = n + 12. Given that v = 9, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = d + 3 to a, which gives a = d + 15.\n2. Substitute d = c + 9 to a, which gives a = c + 24.\n3. Substitute c = j + 13 to a, which gives a = j + 37.\n4. Substitute j = e + 15 to a, which gives a = e + 52.\n5. Substitute e = v + 8 to a, which gives a = v + 60.\n6. Substitute v = 9 to a, which gives a = 69.\n\nThus, the final answer is a = \\boxed{69}.",
"index": 592,
"question": "Suppose a collection of variables is related by the following definitions: q = y + 3; y = f + 4; j = e + 15; c = j + 13; w = i + 13; v = 9; f = s + 12; i = q + 18; s = v + 14; d = c + 9; n = d + 3; e = v + 8; a = n + 12. Given that v = 9, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"b": "j + 3", "c": "b + 18", "k": "c + 4", "o": "k + 18", "i": "o + 19", "m": "i + 15", "t": "j + 2", "d": "t + 18", "w": "d + 13", "n": "w + 5", "e": "n + 16", "v": "e + 1", "j": 19}, "premises": {"j": 19}, "target": "m"}, "answer": {"steps": [["i", "o + 19", "o + 34"], ["o", "k + 18", "k + 52"], ["k", "c + 4", "c + 56"], ["c", "b + 18", "b + 74"], ["b", "j + 3", "j + 77"], ["j", 19, "96"]], "target_var_name": "m", "target_value": 96, "value_dict": {"j": 19}, "is_reverse": true}}
| 593
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = k + 18; b = j + 3; n = w + 5; j = 19; t = j + 2; e = n + 16; w = d + 13; c = b + 18; i = o + 19; k = c + 4; v = e + 1; m = i + 15; d = t + 18. Given that j = 19, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 96,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = o + 19 to m, which gives m = o + 34.\n2. Substitute o = k + 18 to m, which gives m = k + 52.\n3. Substitute k = c + 4 to m, which gives m = c + 56.\n4. Substitute c = b + 18 to m, which gives m = b + 74.\n5. Substitute b = j + 3 to m, which gives m = j + 77.\n6. Substitute j = 19 to m, which gives m = 96.\n\nThus, the final answer is m = \\boxed{96}.",
"index": 593,
"question": "Suppose a collection of variables is related by the following definitions: o = k + 18; b = j + 3; n = w + 5; j = 19; t = j + 2; e = n + 16; w = d + 13; c = b + 18; i = o + 19; k = c + 4; v = e + 1; m = i + 15; d = t + 18. Given that j = 19, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"b": "g + 14", "a": "b + 11", "m": "a + 1", "x": "m + 18", "c": "x + 8", "v": "c + 3", "o": "g + 16", "u": "o + 19", "i": "u + 1", "h": "i + 18", "j": "h + 12", "l": "j + 15", "g": 6}, "premises": {"g": 6}, "target": "v"}, "answer": {"steps": [["c", "x + 8", "x + 11"], ["x", "m + 18", "m + 29"], ["m", "a + 1", "a + 30"], ["a", "b + 11", "b + 41"], ["b", "g + 14", "g + 55"], ["g", 6, "61"]], "target_var_name": "v", "target_value": 61, "value_dict": {"g": 6}, "is_reverse": true}}
| 594
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = g + 16; j = h + 12; c = x + 8; a = b + 11; g = 6; v = c + 3; m = a + 1; l = j + 15; x = m + 18; i = u + 1; h = i + 18; b = g + 14; u = o + 19. If g = 6, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = x + 8 to v, which gives v = x + 11.\n2. Substitute x = m + 18 to v, which gives v = m + 29.\n3. Substitute m = a + 1 to v, which gives v = a + 30.\n4. Substitute a = b + 11 to v, which gives v = b + 41.\n5. Substitute b = g + 14 to v, which gives v = g + 55.\n6. Substitute g = 6 to v, which gives v = 61.\n\nThus, the final answer is v = \\boxed{61}.",
"index": 594,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = g + 16; j = h + 12; c = x + 8; a = b + 11; g = 6; v = c + 3; m = a + 1; l = j + 15; x = m + 18; i = u + 1; h = i + 18; b = g + 14; u = o + 19. If g = 6, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"a": "f + 10", "m": "a + 17", "e": "m + 16", "z": "e + 1", "p": "z + 4", "n": "p + 3", "j": "f + 6", "x": "j + 15", "g": "x + 14", "c": "g + 11", "h": "c + 18", "l": "h + 17", "f": 9}, "premises": {"f": 9}, "target": "n"}, "answer": {"steps": [["p", "z + 4", "z + 7"], ["z", "e + 1", "e + 8"], ["e", "m + 16", "m + 24"], ["m", "a + 17", "a + 41"], ["a", "f + 10", "f + 51"], ["f", 9, "60"]], "target_var_name": "n", "target_value": 60, "value_dict": {"f": 9}, "is_reverse": true}}
| 595
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = h + 17; m = a + 17; a = f + 10; f = 9; p = z + 4; x = j + 15; z = e + 1; j = f + 6; c = g + 11; h = c + 18; n = p + 3; e = m + 16; g = x + 14. If f = 9, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = z + 4 to n, which gives n = z + 7.\n2. Substitute z = e + 1 to n, which gives n = e + 8.\n3. Substitute e = m + 16 to n, which gives n = m + 24.\n4. Substitute m = a + 17 to n, which gives n = a + 41.\n5. Substitute a = f + 10 to n, which gives n = f + 51.\n6. Substitute f = 9 to n, which gives n = 60.\n\nThus, the final answer is n = \\boxed{60}.",
"index": 595,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = h + 17; m = a + 17; a = f + 10; f = 9; p = z + 4; x = j + 15; z = e + 1; j = f + 6; c = g + 11; h = c + 18; n = p + 3; e = m + 16; g = x + 14. If f = 9, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"z": "n + 18", "c": "z + 7", "v": "c + 4", "b": "v + 11", "e": "b + 16", "i": "e + 5", "m": "n + 18", "p": "m + 10", "j": "p + 1", "h": "j + 18", "l": "h + 9", "w": "l + 13", "n": 5}, "premises": {"n": 5}, "target": "i"}, "answer": {"steps": [["e", "b + 16", "b + 21"], ["b", "v + 11", "v + 32"], ["v", "c + 4", "c + 36"], ["c", "z + 7", "z + 43"], ["z", "n + 18", "n + 61"], ["n", 5, "66"]], "target_var_name": "i", "target_value": 66, "value_dict": {"n": 5}, "is_reverse": true}}
| 596
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = h + 9; i = e + 5; z = n + 18; w = l + 13; b = v + 11; h = j + 18; e = b + 16; m = n + 18; v = c + 4; c = z + 7; p = m + 10; j = p + 1; n = 5. If n = 5, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = b + 16 to i, which gives i = b + 21.\n2. Substitute b = v + 11 to i, which gives i = v + 32.\n3. Substitute v = c + 4 to i, which gives i = c + 36.\n4. Substitute c = z + 7 to i, which gives i = z + 43.\n5. Substitute z = n + 18 to i, which gives i = n + 61.\n6. Substitute n = 5 to i, which gives i = 66.\n\nThus, the final answer is i = \\boxed{66}.",
"index": 596,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = h + 9; i = e + 5; z = n + 18; w = l + 13; b = v + 11; h = j + 18; e = b + 16; m = n + 18; v = c + 4; c = z + 7; p = m + 10; j = p + 1; n = 5. If n = 5, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"o": "j + 20", "z": "o + 15", "e": "z + 18", "q": "e + 20", "l": "q + 15", "f": "l + 6", "a": "j + 7", "b": "a + 15", "p": "b + 3", "r": "p + 1", "w": "r + 14", "c": "w + 4", "j": 20}, "premises": {"j": 20}, "target": "f"}, "answer": {"steps": [["l", "q + 15", "q + 21"], ["q", "e + 20", "e + 41"], ["e", "z + 18", "z + 59"], ["z", "o + 15", "o + 74"], ["o", "j + 20", "j + 94"], ["j", 20, "114"]], "target_var_name": "f", "target_value": 114, "value_dict": {"j": 20}, "is_reverse": true}}
| 597
| 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 = j + 7; l = q + 15; p = b + 3; w = r + 14; o = j + 20; e = z + 18; q = e + 20; f = l + 6; c = w + 4; b = a + 15; z = o + 15; r = p + 1; j = 20. If j = 20, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 114,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = q + 15 to f, which gives f = q + 21.\n2. Substitute q = e + 20 to f, which gives f = e + 41.\n3. Substitute e = z + 18 to f, which gives f = z + 59.\n4. Substitute z = o + 15 to f, which gives f = o + 74.\n5. Substitute o = j + 20 to f, which gives f = j + 94.\n6. Substitute j = 20 to f, which gives f = 114.\n\nThus, the final answer is f = \\boxed{114}.",
"index": 597,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = j + 7; l = q + 15; p = b + 3; w = r + 14; o = j + 20; e = z + 18; q = e + 20; f = l + 6; c = w + 4; b = a + 15; z = o + 15; r = p + 1; j = 20. If j = 20, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"v": "f + 13", "d": "v + 16", "t": "d + 4", "j": "t + 11", "e": "j + 8", "l": "e + 17", "o": "f + 4", "k": "o + 1", "r": "k + 13", "c": "r + 10", "g": "c + 7", "a": "g + 16", "f": 4}, "premises": {"f": 4}, "target": "l"}, "answer": {"steps": [["e", "j + 8", "j + 25"], ["j", "t + 11", "t + 36"], ["t", "d + 4", "d + 40"], ["d", "v + 16", "v + 56"], ["v", "f + 13", "f + 69"], ["f", 4, "73"]], "target_var_name": "l", "target_value": 73, "value_dict": {"f": 4}, "is_reverse": true}}
| 598
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = c + 7; c = r + 10; t = d + 4; e = j + 8; j = t + 11; r = k + 13; a = g + 16; o = f + 4; v = f + 13; k = o + 1; l = e + 17; d = v + 16; f = 4. Given that f = 4, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = j + 8 to l, which gives l = j + 25.\n2. Substitute j = t + 11 to l, which gives l = t + 36.\n3. Substitute t = d + 4 to l, which gives l = d + 40.\n4. Substitute d = v + 16 to l, which gives l = v + 56.\n5. Substitute v = f + 13 to l, which gives l = f + 69.\n6. Substitute f = 4 to l, which gives l = 73.\n\nThus, the final answer is l = \\boxed{73}.",
"index": 598,
"question": "Suppose a collection of variables is related by the following definitions: g = c + 7; c = r + 10; t = d + 4; e = j + 8; j = t + 11; r = k + 13; a = g + 16; o = f + 4; v = f + 13; k = o + 1; l = e + 17; d = v + 16; f = 4. Given that f = 4, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"s": "x + 19", "y": "s + 13", "z": "y + 7", "q": "z + 20", "b": "q + 9", "t": "b + 16", "j": "x + 5", "e": "j + 19", "w": "e + 15", "d": "w + 10", "f": "d + 2", "m": "f + 20", "x": 7}, "premises": {"x": 7}, "target": "t"}, "answer": {"steps": [["b", "q + 9", "q + 25"], ["q", "z + 20", "z + 45"], ["z", "y + 7", "y + 52"], ["y", "s + 13", "s + 65"], ["s", "x + 19", "x + 84"], ["x", 7, "91"]], "target_var_name": "t", "target_value": 91, "value_dict": {"x": 7}, "is_reverse": true}}
| 599
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = 7; t = b + 16; m = f + 20; q = z + 20; j = x + 5; b = q + 9; z = y + 7; y = s + 13; f = d + 2; d = w + 10; w = e + 15; e = j + 19; s = x + 19. If x = 7, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = q + 9 to t, which gives t = q + 25.\n2. Substitute q = z + 20 to t, which gives t = z + 45.\n3. Substitute z = y + 7 to t, which gives t = y + 52.\n4. Substitute y = s + 13 to t, which gives t = s + 65.\n5. Substitute s = x + 19 to t, which gives t = x + 84.\n6. Substitute x = 7 to t, which gives t = 91.\n\nThus, the final answer is t = \\boxed{91}.",
"index": 599,
"question": "Consider a system of variables where each variable is defined as follows: x = 7; t = b + 16; m = f + 20; q = z + 20; j = x + 5; b = q + 9; z = y + 7; y = s + 13; f = d + 2; d = w + 10; w = e + 15; e = j + 19; s = x + 19. If x = 7, determine the value of t.",
"split": "train"
}
|
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