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25.6k
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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": {"g": "a + 4", "j": "g + 20", "z": "j + 3", "t": "z + 10", "o": "t + 10", "s": "o + 11", "b": "a + 16", "l": "b + 9", "i": "l + 5", "y": "i + 20", "p": "y + 8", "r": "p + 12", "a": 5}, "premises": {"a": 5}, "target": "s"}, "answer": {"steps": [["o", "t + 10", "t + 21"], ["t", "z + 10", "z + 31"], ["z", "j + 3", "j + 34"], ["j", "g + 20", "g + 54"], ["g", "a + 4", "a + 58"], ["a", 5, "63"]], "target_var_name": "s", "target_value": 63, "value_dict": {"a": 5}, "is_reverse": true}}
| 25,500
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = a + 16; g = a + 4; o = t + 10; a = 5; l = b + 9; i = l + 5; s = o + 11; r = p + 12; p = y + 8; j = g + 20; y = i + 20; z = j + 3; t = z + 10. Given that a = 5, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = t + 10 to s, which gives s = t + 21.\n2. Substitute t = z + 10 to s, which gives s = z + 31.\n3. Substitute z = j + 3 to s, which gives s = j + 34.\n4. Substitute j = g + 20 to s, which gives s = g + 54.\n5. Substitute g = a + 4 to s, which gives s = a + 58.\n6. Substitute a = 5 to s, which gives s = 63.\n\nThus, the final answer is s = \\boxed{63}.",
"index": 25500,
"question": "Suppose a collection of variables is related by the following definitions: b = a + 16; g = a + 4; o = t + 10; a = 5; l = b + 9; i = l + 5; s = o + 11; r = p + 12; p = y + 8; j = g + 20; y = i + 20; z = j + 3; t = z + 10. Given that a = 5, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"c": "m + 13", "b": "c + 8", "l": "b + 1", "h": "l + 20", "y": "h + 11", "p": "y + 18", "u": "m + 18", "o": "u + 2", "k": "o + 18", "w": "k + 8", "v": "w + 1", "e": "v + 11", "m": 5}, "premises": {"m": 5}, "target": "p"}, "answer": {"steps": [["y", "h + 11", "h + 29"], ["h", "l + 20", "l + 49"], ["l", "b + 1", "b + 50"], ["b", "c + 8", "c + 58"], ["c", "m + 13", "m + 71"], ["m", 5, "76"]], "target_var_name": "p", "target_value": 76, "value_dict": {"m": 5}, "is_reverse": true}}
| 25,501
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = b + 1; y = h + 11; c = m + 13; h = l + 20; k = o + 18; u = m + 18; o = u + 2; m = 5; b = c + 8; p = y + 18; v = w + 1; w = k + 8; e = v + 11. Given that m = 5, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = h + 11 to p, which gives p = h + 29.\n2. Substitute h = l + 20 to p, which gives p = l + 49.\n3. Substitute l = b + 1 to p, which gives p = b + 50.\n4. Substitute b = c + 8 to p, which gives p = c + 58.\n5. Substitute c = m + 13 to p, which gives p = m + 71.\n6. Substitute m = 5 to p, which gives p = 76.\n\nThus, the final answer is p = \\boxed{76}.",
"index": 25501,
"question": "Suppose a collection of variables is related by the following definitions: l = b + 1; y = h + 11; c = m + 13; h = l + 20; k = o + 18; u = m + 18; o = u + 2; m = 5; b = c + 8; p = y + 18; v = w + 1; w = k + 8; e = v + 11. Given that m = 5, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"c": "n + 1", "o": "c + 16", "t": "o + 14", "z": "t + 8", "j": "z + 9", "p": "j + 9", "u": "n + 6", "w": "u + 12", "m": "w + 4", "v": "m + 20", "k": "v + 11", "s": "k + 13", "n": 17}, "premises": {"n": 17}, "target": "p"}, "answer": {"steps": [["j", "z + 9", "z + 18"], ["z", "t + 8", "t + 26"], ["t", "o + 14", "o + 40"], ["o", "c + 16", "c + 56"], ["c", "n + 1", "n + 57"], ["n", 17, "74"]], "target_var_name": "p", "target_value": 74, "value_dict": {"n": 17}, "is_reverse": true}}
| 25,502
| 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 + 9; t = o + 14; m = w + 4; n = 17; w = u + 12; z = t + 8; j = z + 9; k = v + 11; c = n + 1; u = n + 6; o = c + 16; s = k + 13; v = m + 20. If n = 17, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = z + 9 to p, which gives p = z + 18.\n2. Substitute z = t + 8 to p, which gives p = t + 26.\n3. Substitute t = o + 14 to p, which gives p = o + 40.\n4. Substitute o = c + 16 to p, which gives p = c + 56.\n5. Substitute c = n + 1 to p, which gives p = n + 57.\n6. Substitute n = 17 to p, which gives p = 74.\n\nThus, the final answer is p = \\boxed{74}.",
"index": 25502,
"question": "Consider a system of variables where each variable is defined as follows: p = j + 9; t = o + 14; m = w + 4; n = 17; w = u + 12; z = t + 8; j = z + 9; k = v + 11; c = n + 1; u = n + 6; o = c + 16; s = k + 13; v = m + 20. If n = 17, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"j": "k + 17", "p": "j + 13", "u": "p + 4", "w": "u + 7", "n": "w + 7", "z": "n + 20", "o": "k + 18", "y": "o + 12", "r": "y + 20", "d": "r + 9", "a": "d + 10", "f": "a + 10", "k": 4}, "premises": {"k": 4}, "target": "z"}, "answer": {"steps": [["n", "w + 7", "w + 27"], ["w", "u + 7", "u + 34"], ["u", "p + 4", "p + 38"], ["p", "j + 13", "j + 51"], ["j", "k + 17", "k + 68"], ["k", 4, "72"]], "target_var_name": "z", "target_value": 72, "value_dict": {"k": 4}, "is_reverse": true}}
| 25,503
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = r + 9; z = n + 20; p = j + 13; u = p + 4; y = o + 12; a = d + 10; j = k + 17; r = y + 20; f = a + 10; w = u + 7; n = w + 7; k = 4; o = k + 18. If k = 4, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = w + 7 to z, which gives z = w + 27.\n2. Substitute w = u + 7 to z, which gives z = u + 34.\n3. Substitute u = p + 4 to z, which gives z = p + 38.\n4. Substitute p = j + 13 to z, which gives z = j + 51.\n5. Substitute j = k + 17 to z, which gives z = k + 68.\n6. Substitute k = 4 to z, which gives z = 72.\n\nThus, the final answer is z = \\boxed{72}.",
"index": 25503,
"question": "Consider a system of variables where each variable is defined as follows: d = r + 9; z = n + 20; p = j + 13; u = p + 4; y = o + 12; a = d + 10; j = k + 17; r = y + 20; f = a + 10; w = u + 7; n = w + 7; k = 4; o = k + 18. If k = 4, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"h": "m + 5", "y": "h + 18", "i": "y + 7", "r": "i + 15", "n": "r + 4", "p": "n + 18", "a": "m + 11", "b": "a + 7", "q": "b + 14", "w": "q + 2", "j": "w + 19", "t": "j + 17", "m": 19}, "premises": {"m": 19}, "target": "p"}, "answer": {"steps": [["n", "r + 4", "r + 22"], ["r", "i + 15", "i + 37"], ["i", "y + 7", "y + 44"], ["y", "h + 18", "h + 62"], ["h", "m + 5", "m + 67"], ["m", 19, "86"]], "target_var_name": "p", "target_value": 86, "value_dict": {"m": 19}, "is_reverse": true}}
| 25,504
| 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 = y + 7; j = w + 19; a = m + 11; h = m + 5; b = a + 7; m = 19; q = b + 14; t = j + 17; w = q + 2; n = r + 4; r = i + 15; p = n + 18; y = h + 18. If m = 19, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = r + 4 to p, which gives p = r + 22.\n2. Substitute r = i + 15 to p, which gives p = i + 37.\n3. Substitute i = y + 7 to p, which gives p = y + 44.\n4. Substitute y = h + 18 to p, which gives p = h + 62.\n5. Substitute h = m + 5 to p, which gives p = m + 67.\n6. Substitute m = 19 to p, which gives p = 86.\n\nThus, the final answer is p = \\boxed{86}.",
"index": 25504,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = y + 7; j = w + 19; a = m + 11; h = m + 5; b = a + 7; m = 19; q = b + 14; t = j + 17; w = q + 2; n = r + 4; r = i + 15; p = n + 18; y = h + 18. If m = 19, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"x": "f + 11", "c": "x + 13", "i": "c + 8", "v": "i + 14", "p": "v + 11", "b": "p + 14", "r": "f + 9", "h": "r + 20", "d": "h + 11", "m": "d + 18", "k": "m + 19", "w": "k + 17", "f": 10}, "premises": {"f": 10}, "target": "b"}, "answer": {"steps": [["p", "v + 11", "v + 25"], ["v", "i + 14", "i + 39"], ["i", "c + 8", "c + 47"], ["c", "x + 13", "x + 60"], ["x", "f + 11", "f + 71"], ["f", 10, "81"]], "target_var_name": "b", "target_value": 81, "value_dict": {"f": 10}, "is_reverse": true}}
| 25,505
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = x + 13; x = f + 11; w = k + 17; k = m + 19; p = v + 11; m = d + 18; i = c + 8; r = f + 9; h = r + 20; v = i + 14; f = 10; d = h + 11; b = p + 14. If f = 10, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = v + 11 to b, which gives b = v + 25.\n2. Substitute v = i + 14 to b, which gives b = i + 39.\n3. Substitute i = c + 8 to b, which gives b = c + 47.\n4. Substitute c = x + 13 to b, which gives b = x + 60.\n5. Substitute x = f + 11 to b, which gives b = f + 71.\n6. Substitute f = 10 to b, which gives b = 81.\n\nThus, the final answer is b = \\boxed{81}.",
"index": 25505,
"question": "Consider a system of variables where each variable is defined as follows: c = x + 13; x = f + 11; w = k + 17; k = m + 19; p = v + 11; m = d + 18; i = c + 8; r = f + 9; h = r + 20; v = i + 14; f = 10; d = h + 11; b = p + 14. If f = 10, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"r": "o + 11", "p": "r + 11", "h": "p + 5", "j": "h + 8", "y": "j + 12", "c": "y + 16", "i": "o + 16", "b": "i + 13", "q": "b + 10", "e": "q + 2", "m": "e + 5", "w": "m + 8", "o": 11}, "premises": {"o": 11}, "target": "c"}, "answer": {"steps": [["y", "j + 12", "j + 28"], ["j", "h + 8", "h + 36"], ["h", "p + 5", "p + 41"], ["p", "r + 11", "r + 52"], ["r", "o + 11", "o + 63"], ["o", 11, "74"]], "target_var_name": "c", "target_value": 74, "value_dict": {"o": 11}, "is_reverse": true}}
| 25,506
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = 11; e = q + 2; i = o + 16; c = y + 16; r = o + 11; y = j + 12; p = r + 11; q = b + 10; m = e + 5; j = h + 8; w = m + 8; b = i + 13; h = p + 5. If o = 11, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = j + 12 to c, which gives c = j + 28.\n2. Substitute j = h + 8 to c, which gives c = h + 36.\n3. Substitute h = p + 5 to c, which gives c = p + 41.\n4. Substitute p = r + 11 to c, which gives c = r + 52.\n5. Substitute r = o + 11 to c, which gives c = o + 63.\n6. Substitute o = 11 to c, which gives c = 74.\n\nThus, the final answer is c = \\boxed{74}.",
"index": 25506,
"question": "Consider a system of variables where each variable is defined as follows: o = 11; e = q + 2; i = o + 16; c = y + 16; r = o + 11; y = j + 12; p = r + 11; q = b + 10; m = e + 5; j = h + 8; w = m + 8; b = i + 13; h = p + 5. If o = 11, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"n": "l + 7", "h": "n + 5", "z": "h + 6", "a": "z + 17", "g": "a + 19", "s": "g + 4", "r": "l + 11", "t": "r + 10", "w": "t + 8", "j": "w + 1", "y": "j + 19", "k": "y + 12", "l": 16}, "premises": {"l": 16}, "target": "s"}, "answer": {"steps": [["g", "a + 19", "a + 23"], ["a", "z + 17", "z + 40"], ["z", "h + 6", "h + 46"], ["h", "n + 5", "n + 51"], ["n", "l + 7", "l + 58"], ["l", 16, "74"]], "target_var_name": "s", "target_value": 74, "value_dict": {"l": 16}, "is_reverse": true}}
| 25,507
| 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 = l + 11; y = j + 19; k = y + 12; w = t + 8; z = h + 6; g = a + 19; s = g + 4; l = 16; a = z + 17; t = r + 10; n = l + 7; h = n + 5; j = w + 1. If l = 16, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = a + 19 to s, which gives s = a + 23.\n2. Substitute a = z + 17 to s, which gives s = z + 40.\n3. Substitute z = h + 6 to s, which gives s = h + 46.\n4. Substitute h = n + 5 to s, which gives s = n + 51.\n5. Substitute n = l + 7 to s, which gives s = l + 58.\n6. Substitute l = 16 to s, which gives s = 74.\n\nThus, the final answer is s = \\boxed{74}.",
"index": 25507,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = l + 11; y = j + 19; k = y + 12; w = t + 8; z = h + 6; g = a + 19; s = g + 4; l = 16; a = z + 17; t = r + 10; n = l + 7; h = n + 5; j = w + 1. If l = 16, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"d": "g + 1", "c": "d + 5", "n": "c + 10", "x": "n + 19", "u": "x + 8", "f": "u + 11", "a": "g + 12", "s": "a + 11", "z": "s + 8", "y": "z + 12", "t": "y + 8", "q": "t + 7", "g": 14}, "premises": {"g": 14}, "target": "f"}, "answer": {"steps": [["u", "x + 8", "x + 19"], ["x", "n + 19", "n + 38"], ["n", "c + 10", "c + 48"], ["c", "d + 5", "d + 53"], ["d", "g + 1", "g + 54"], ["g", 14, "68"]], "target_var_name": "f", "target_value": 68, "value_dict": {"g": 14}, "is_reverse": true}}
| 25,508
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = y + 8; q = t + 7; y = z + 12; x = n + 19; z = s + 8; d = g + 1; a = g + 12; c = d + 5; s = a + 11; n = c + 10; g = 14; u = x + 8; f = u + 11. If g = 14, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = x + 8 to f, which gives f = x + 19.\n2. Substitute x = n + 19 to f, which gives f = n + 38.\n3. Substitute n = c + 10 to f, which gives f = c + 48.\n4. Substitute c = d + 5 to f, which gives f = d + 53.\n5. Substitute d = g + 1 to f, which gives f = g + 54.\n6. Substitute g = 14 to f, which gives f = 68.\n\nThus, the final answer is f = \\boxed{68}.",
"index": 25508,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = y + 8; q = t + 7; y = z + 12; x = n + 19; z = s + 8; d = g + 1; a = g + 12; c = d + 5; s = a + 11; n = c + 10; g = 14; u = x + 8; f = u + 11. If g = 14, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"c": "e + 8", "t": "c + 11", "h": "t + 9", "x": "h + 3", "y": "x + 15", "b": "y + 18", "r": "e + 13", "k": "r + 2", "f": "k + 9", "l": "f + 6", "d": "l + 17", "g": "d + 4", "e": 14}, "premises": {"e": 14}, "target": "b"}, "answer": {"steps": [["y", "x + 15", "x + 33"], ["x", "h + 3", "h + 36"], ["h", "t + 9", "t + 45"], ["t", "c + 11", "c + 56"], ["c", "e + 8", "e + 64"], ["e", 14, "78"]], "target_var_name": "b", "target_value": 78, "value_dict": {"e": 14}, "is_reverse": true}}
| 25,509
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = h + 3; f = k + 9; d = l + 17; g = d + 4; y = x + 15; c = e + 8; k = r + 2; h = t + 9; b = y + 18; l = f + 6; e = 14; r = e + 13; t = c + 11. Given that e = 14, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = x + 15 to b, which gives b = x + 33.\n2. Substitute x = h + 3 to b, which gives b = h + 36.\n3. Substitute h = t + 9 to b, which gives b = t + 45.\n4. Substitute t = c + 11 to b, which gives b = c + 56.\n5. Substitute c = e + 8 to b, which gives b = e + 64.\n6. Substitute e = 14 to b, which gives b = 78.\n\nThus, the final answer is b = \\boxed{78}.",
"index": 25509,
"question": "Suppose a collection of variables is related by the following definitions: x = h + 3; f = k + 9; d = l + 17; g = d + 4; y = x + 15; c = e + 8; k = r + 2; h = t + 9; b = y + 18; l = f + 6; e = 14; r = e + 13; t = c + 11. Given that e = 14, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"o": "n + 12", "a": "o + 20", "y": "a + 4", "j": "y + 5", "w": "j + 15", "q": "w + 19", "k": "n + 2", "c": "k + 4", "z": "c + 20", "v": "z + 13", "i": "v + 19", "p": "i + 15", "n": 11}, "premises": {"n": 11}, "target": "q"}, "answer": {"steps": [["w", "j + 15", "j + 34"], ["j", "y + 5", "y + 39"], ["y", "a + 4", "a + 43"], ["a", "o + 20", "o + 63"], ["o", "n + 12", "n + 75"], ["n", 11, "86"]], "target_var_name": "q", "target_value": 86, "value_dict": {"n": 11}, "is_reverse": true}}
| 25,510
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = c + 20; n = 11; o = n + 12; y = a + 4; w = j + 15; v = z + 13; k = n + 2; a = o + 20; c = k + 4; q = w + 19; p = i + 15; j = y + 5; i = v + 19. If n = 11, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = j + 15 to q, which gives q = j + 34.\n2. Substitute j = y + 5 to q, which gives q = y + 39.\n3. Substitute y = a + 4 to q, which gives q = a + 43.\n4. Substitute a = o + 20 to q, which gives q = o + 63.\n5. Substitute o = n + 12 to q, which gives q = n + 75.\n6. Substitute n = 11 to q, which gives q = 86.\n\nThus, the final answer is q = \\boxed{86}.",
"index": 25510,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = c + 20; n = 11; o = n + 12; y = a + 4; w = j + 15; v = z + 13; k = n + 2; a = o + 20; c = k + 4; q = w + 19; p = i + 15; j = y + 5; i = v + 19. If n = 11, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"a": "l + 8", "z": "a + 16", "m": "z + 15", "k": "m + 14", "f": "k + 8", "v": "f + 16", "c": "l + 19", "j": "c + 18", "g": "j + 10", "s": "g + 1", "d": "s + 11", "t": "d + 15", "l": 19}, "premises": {"l": 19}, "target": "v"}, "answer": {"steps": [["f", "k + 8", "k + 24"], ["k", "m + 14", "m + 38"], ["m", "z + 15", "z + 53"], ["z", "a + 16", "a + 69"], ["a", "l + 8", "l + 77"], ["l", 19, "96"]], "target_var_name": "v", "target_value": 96, "value_dict": {"l": 19}, "is_reverse": true}}
| 25,511
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = k + 8; z = a + 16; v = f + 16; a = l + 8; j = c + 18; d = s + 11; g = j + 10; s = g + 1; l = 19; k = m + 14; m = z + 15; c = l + 19; t = d + 15. Given that l = 19, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 96,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = k + 8 to v, which gives v = k + 24.\n2. Substitute k = m + 14 to v, which gives v = m + 38.\n3. Substitute m = z + 15 to v, which gives v = z + 53.\n4. Substitute z = a + 16 to v, which gives v = a + 69.\n5. Substitute a = l + 8 to v, which gives v = l + 77.\n6. Substitute l = 19 to v, which gives v = 96.\n\nThus, the final answer is v = \\boxed{96}.",
"index": 25511,
"question": "Suppose a collection of variables is related by the following definitions: f = k + 8; z = a + 16; v = f + 16; a = l + 8; j = c + 18; d = s + 11; g = j + 10; s = g + 1; l = 19; k = m + 14; m = z + 15; c = l + 19; t = d + 15. Given that l = 19, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"d": "j + 3", "b": "d + 3", "k": "b + 8", "p": "k + 17", "a": "p + 19", "u": "a + 1", "q": "j + 16", "s": "q + 19", "z": "s + 5", "n": "z + 17", "w": "n + 3", "v": "w + 9", "j": 18}, "premises": {"j": 18}, "target": "u"}, "answer": {"steps": [["a", "p + 19", "p + 20"], ["p", "k + 17", "k + 37"], ["k", "b + 8", "b + 45"], ["b", "d + 3", "d + 48"], ["d", "j + 3", "j + 51"], ["j", 18, "69"]], "target_var_name": "u", "target_value": 69, "value_dict": {"j": 18}, "is_reverse": true}}
| 25,512
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = n + 3; v = w + 9; j = 18; q = j + 16; b = d + 3; k = b + 8; s = q + 19; d = j + 3; p = k + 17; z = s + 5; a = p + 19; n = z + 17; u = a + 1. If j = 18, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = p + 19 to u, which gives u = p + 20.\n2. Substitute p = k + 17 to u, which gives u = k + 37.\n3. Substitute k = b + 8 to u, which gives u = b + 45.\n4. Substitute b = d + 3 to u, which gives u = d + 48.\n5. Substitute d = j + 3 to u, which gives u = j + 51.\n6. Substitute j = 18 to u, which gives u = 69.\n\nThus, the final answer is u = \\boxed{69}.",
"index": 25512,
"question": "Consider a system of variables where each variable is defined as follows: w = n + 3; v = w + 9; j = 18; q = j + 16; b = d + 3; k = b + 8; s = q + 19; d = j + 3; p = k + 17; z = s + 5; a = p + 19; n = z + 17; u = a + 1. If j = 18, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"h": "t + 4", "m": "h + 16", "o": "m + 17", "y": "o + 16", "x": "y + 17", "q": "x + 2", "j": "t + 1", "g": "j + 10", "f": "g + 14", "z": "f + 9", "v": "z + 6", "n": "v + 20", "t": 12}, "premises": {"t": 12}, "target": "q"}, "answer": {"steps": [["x", "y + 17", "y + 19"], ["y", "o + 16", "o + 35"], ["o", "m + 17", "m + 52"], ["m", "h + 16", "h + 68"], ["h", "t + 4", "t + 72"], ["t", 12, "84"]], "target_var_name": "q", "target_value": 84, "value_dict": {"t": 12}, "is_reverse": true}}
| 25,513
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = v + 20; o = m + 17; f = g + 14; h = t + 4; j = t + 1; x = y + 17; v = z + 6; g = j + 10; t = 12; m = h + 16; q = x + 2; y = o + 16; z = f + 9. Given that t = 12, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = y + 17 to q, which gives q = y + 19.\n2. Substitute y = o + 16 to q, which gives q = o + 35.\n3. Substitute o = m + 17 to q, which gives q = m + 52.\n4. Substitute m = h + 16 to q, which gives q = h + 68.\n5. Substitute h = t + 4 to q, which gives q = t + 72.\n6. Substitute t = 12 to q, which gives q = 84.\n\nThus, the final answer is q = \\boxed{84}.",
"index": 25513,
"question": "Suppose a collection of variables is related by the following definitions: n = v + 20; o = m + 17; f = g + 14; h = t + 4; j = t + 1; x = y + 17; v = z + 6; g = j + 10; t = 12; m = h + 16; q = x + 2; y = o + 16; z = f + 9. Given that t = 12, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"h": "z + 4", "a": "h + 16", "r": "a + 1", "n": "r + 14", "f": "n + 20", "p": "f + 8", "c": "z + 1", "x": "c + 1", "v": "x + 20", "i": "v + 20", "j": "i + 15", "e": "j + 17", "z": 1}, "premises": {"z": 1}, "target": "p"}, "answer": {"steps": [["f", "n + 20", "n + 28"], ["n", "r + 14", "r + 42"], ["r", "a + 1", "a + 43"], ["a", "h + 16", "h + 59"], ["h", "z + 4", "z + 63"], ["z", 1, "64"]], "target_var_name": "p", "target_value": 64, "value_dict": {"z": 1}, "is_reverse": true}}
| 25,514
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = i + 15; z = 1; i = v + 20; c = z + 1; p = f + 8; x = c + 1; h = z + 4; f = n + 20; n = r + 14; a = h + 16; e = j + 17; r = a + 1; v = x + 20. Given that z = 1, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = n + 20 to p, which gives p = n + 28.\n2. Substitute n = r + 14 to p, which gives p = r + 42.\n3. Substitute r = a + 1 to p, which gives p = a + 43.\n4. Substitute a = h + 16 to p, which gives p = h + 59.\n5. Substitute h = z + 4 to p, which gives p = z + 63.\n6. Substitute z = 1 to p, which gives p = 64.\n\nThus, the final answer is p = \\boxed{64}.",
"index": 25514,
"question": "Suppose a collection of variables is related by the following definitions: j = i + 15; z = 1; i = v + 20; c = z + 1; p = f + 8; x = c + 1; h = z + 4; f = n + 20; n = r + 14; a = h + 16; e = j + 17; r = a + 1; v = x + 20. Given that z = 1, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"s": "d + 8", "n": "s + 12", "y": "n + 3", "m": "y + 11", "w": "m + 11", "f": "w + 18", "p": "d + 4", "x": "p + 6", "v": "x + 6", "k": "v + 17", "u": "k + 12", "h": "u + 4", "d": 17}, "premises": {"d": 17}, "target": "f"}, "answer": {"steps": [["w", "m + 11", "m + 29"], ["m", "y + 11", "y + 40"], ["y", "n + 3", "n + 43"], ["n", "s + 12", "s + 55"], ["s", "d + 8", "d + 63"], ["d", 17, "80"]], "target_var_name": "f", "target_value": 80, "value_dict": {"d": 17}, "is_reverse": true}}
| 25,515
| 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 = d + 8; p = d + 4; x = p + 6; d = 17; u = k + 12; f = w + 18; k = v + 17; h = u + 4; n = s + 12; m = y + 11; w = m + 11; v = x + 6; y = n + 3. If d = 17, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = m + 11 to f, which gives f = m + 29.\n2. Substitute m = y + 11 to f, which gives f = y + 40.\n3. Substitute y = n + 3 to f, which gives f = n + 43.\n4. Substitute n = s + 12 to f, which gives f = s + 55.\n5. Substitute s = d + 8 to f, which gives f = d + 63.\n6. Substitute d = 17 to f, which gives f = 80.\n\nThus, the final answer is f = \\boxed{80}.",
"index": 25515,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = d + 8; p = d + 4; x = p + 6; d = 17; u = k + 12; f = w + 18; k = v + 17; h = u + 4; n = s + 12; m = y + 11; w = m + 11; v = x + 6; y = n + 3. If d = 17, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"l": "b + 1", "u": "l + 6", "o": "u + 6", "k": "o + 15", "c": "k + 10", "i": "c + 12", "y": "b + 8", "f": "y + 3", "p": "f + 17", "n": "p + 16", "w": "n + 10", "r": "w + 4", "b": 9}, "premises": {"b": 9}, "target": "i"}, "answer": {"steps": [["c", "k + 10", "k + 22"], ["k", "o + 15", "o + 37"], ["o", "u + 6", "u + 43"], ["u", "l + 6", "l + 49"], ["l", "b + 1", "b + 50"], ["b", 9, "59"]], "target_var_name": "i", "target_value": 59, "value_dict": {"b": 9}, "is_reverse": true}}
| 25,516
| 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 + 6; p = f + 17; r = w + 4; n = p + 16; f = y + 3; c = k + 10; k = o + 15; y = b + 8; o = u + 6; b = 9; l = b + 1; i = c + 12; w = n + 10. If b = 9, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = k + 10 to i, which gives i = k + 22.\n2. Substitute k = o + 15 to i, which gives i = o + 37.\n3. Substitute o = u + 6 to i, which gives i = u + 43.\n4. Substitute u = l + 6 to i, which gives i = l + 49.\n5. Substitute l = b + 1 to i, which gives i = b + 50.\n6. Substitute b = 9 to i, which gives i = 59.\n\nThus, the final answer is i = \\boxed{59}.",
"index": 25516,
"question": "Consider a system of variables where each variable is defined as follows: u = l + 6; p = f + 17; r = w + 4; n = p + 16; f = y + 3; c = k + 10; k = o + 15; y = b + 8; o = u + 6; b = 9; l = b + 1; i = c + 12; w = n + 10. If b = 9, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"q": "m + 10", "o": "q + 4", "r": "o + 6", "i": "r + 19", "j": "i + 11", "x": "j + 6", "y": "m + 20", "p": "y + 12", "l": "p + 7", "d": "l + 19", "c": "d + 10", "f": "c + 6", "m": 14}, "premises": {"m": 14}, "target": "x"}, "answer": {"steps": [["j", "i + 11", "i + 17"], ["i", "r + 19", "r + 36"], ["r", "o + 6", "o + 42"], ["o", "q + 4", "q + 46"], ["q", "m + 10", "m + 56"], ["m", 14, "70"]], "target_var_name": "x", "target_value": 70, "value_dict": {"m": 14}, "is_reverse": true}}
| 25,517
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = j + 6; c = d + 10; r = o + 6; q = m + 10; l = p + 7; y = m + 20; i = r + 19; p = y + 12; j = i + 11; m = 14; f = c + 6; o = q + 4; d = l + 19. If m = 14, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = i + 11 to x, which gives x = i + 17.\n2. Substitute i = r + 19 to x, which gives x = r + 36.\n3. Substitute r = o + 6 to x, which gives x = o + 42.\n4. Substitute o = q + 4 to x, which gives x = q + 46.\n5. Substitute q = m + 10 to x, which gives x = m + 56.\n6. Substitute m = 14 to x, which gives x = 70.\n\nThus, the final answer is x = \\boxed{70}.",
"index": 25517,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = j + 6; c = d + 10; r = o + 6; q = m + 10; l = p + 7; y = m + 20; i = r + 19; p = y + 12; j = i + 11; m = 14; f = c + 6; o = q + 4; d = l + 19. If m = 14, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"a": "u + 10", "m": "a + 16", "k": "m + 14", "y": "k + 5", "o": "y + 4", "j": "o + 16", "b": "u + 11", "z": "b + 13", "i": "z + 19", "r": "i + 8", "w": "r + 17", "s": "w + 19", "u": 19}, "premises": {"u": 19}, "target": "j"}, "answer": {"steps": [["o", "y + 4", "y + 20"], ["y", "k + 5", "k + 25"], ["k", "m + 14", "m + 39"], ["m", "a + 16", "a + 55"], ["a", "u + 10", "u + 65"], ["u", 19, "84"]], "target_var_name": "j", "target_value": 84, "value_dict": {"u": 19}, "is_reverse": true}}
| 25,518
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = b + 13; o = y + 4; k = m + 14; i = z + 19; u = 19; j = o + 16; r = i + 8; y = k + 5; w = r + 17; a = u + 10; s = w + 19; b = u + 11; m = a + 16. If u = 19, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = y + 4 to j, which gives j = y + 20.\n2. Substitute y = k + 5 to j, which gives j = k + 25.\n3. Substitute k = m + 14 to j, which gives j = m + 39.\n4. Substitute m = a + 16 to j, which gives j = a + 55.\n5. Substitute a = u + 10 to j, which gives j = u + 65.\n6. Substitute u = 19 to j, which gives j = 84.\n\nThus, the final answer is j = \\boxed{84}.",
"index": 25518,
"question": "Consider a system of variables where each variable is defined as follows: z = b + 13; o = y + 4; k = m + 14; i = z + 19; u = 19; j = o + 16; r = i + 8; y = k + 5; w = r + 17; a = u + 10; s = w + 19; b = u + 11; m = a + 16. If u = 19, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"t": "f + 18", "s": "t + 6", "i": "s + 6", "o": "i + 13", "g": "o + 9", "j": "g + 6", "k": "f + 12", "y": "k + 7", "w": "y + 2", "z": "w + 17", "p": "z + 5", "c": "p + 8", "f": 4}, "premises": {"f": 4}, "target": "j"}, "answer": {"steps": [["g", "o + 9", "o + 15"], ["o", "i + 13", "i + 28"], ["i", "s + 6", "s + 34"], ["s", "t + 6", "t + 40"], ["t", "f + 18", "f + 58"], ["f", 4, "62"]], "target_var_name": "j", "target_value": 62, "value_dict": {"f": 4}, "is_reverse": true}}
| 25,519
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = p + 8; w = y + 2; k = f + 12; g = o + 9; s = t + 6; t = f + 18; o = i + 13; f = 4; j = g + 6; p = z + 5; z = w + 17; y = k + 7; i = s + 6. If f = 4, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = o + 9 to j, which gives j = o + 15.\n2. Substitute o = i + 13 to j, which gives j = i + 28.\n3. Substitute i = s + 6 to j, which gives j = s + 34.\n4. Substitute s = t + 6 to j, which gives j = t + 40.\n5. Substitute t = f + 18 to j, which gives j = f + 58.\n6. Substitute f = 4 to j, which gives j = 62.\n\nThus, the final answer is j = \\boxed{62}.",
"index": 25519,
"question": "Consider a system of variables where each variable is defined as follows: c = p + 8; w = y + 2; k = f + 12; g = o + 9; s = t + 6; t = f + 18; o = i + 13; f = 4; j = g + 6; p = z + 5; z = w + 17; y = k + 7; i = s + 6. If f = 4, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"p": "a + 7", "q": "p + 5", "j": "q + 13", "i": "j + 17", "g": "i + 12", "t": "g + 19", "e": "a + 14", "c": "e + 18", "s": "c + 12", "n": "s + 7", "h": "n + 15", "f": "h + 12", "a": 6}, "premises": {"a": 6}, "target": "t"}, "answer": {"steps": [["g", "i + 12", "i + 31"], ["i", "j + 17", "j + 48"], ["j", "q + 13", "q + 61"], ["q", "p + 5", "p + 66"], ["p", "a + 7", "a + 73"], ["a", 6, "79"]], "target_var_name": "t", "target_value": 79, "value_dict": {"a": 6}, "is_reverse": true}}
| 25,520
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = c + 12; t = g + 19; h = n + 15; f = h + 12; j = q + 13; a = 6; i = j + 17; g = i + 12; p = a + 7; n = s + 7; c = e + 18; q = p + 5; e = a + 14. If a = 6, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = i + 12 to t, which gives t = i + 31.\n2. Substitute i = j + 17 to t, which gives t = j + 48.\n3. Substitute j = q + 13 to t, which gives t = q + 61.\n4. Substitute q = p + 5 to t, which gives t = p + 66.\n5. Substitute p = a + 7 to t, which gives t = a + 73.\n6. Substitute a = 6 to t, which gives t = 79.\n\nThus, the final answer is t = \\boxed{79}.",
"index": 25520,
"question": "Consider a system of variables where each variable is defined as follows: s = c + 12; t = g + 19; h = n + 15; f = h + 12; j = q + 13; a = 6; i = j + 17; g = i + 12; p = a + 7; n = s + 7; c = e + 18; q = p + 5; e = a + 14. If a = 6, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"f": "k + 4", "t": "f + 15", "m": "t + 1", "v": "m + 19", "d": "v + 17", "n": "d + 14", "g": "k + 10", "o": "g + 20", "x": "o + 9", "c": "x + 12", "u": "c + 3", "b": "u + 19", "k": 10}, "premises": {"k": 10}, "target": "n"}, "answer": {"steps": [["d", "v + 17", "v + 31"], ["v", "m + 19", "m + 50"], ["m", "t + 1", "t + 51"], ["t", "f + 15", "f + 66"], ["f", "k + 4", "k + 70"], ["k", 10, "80"]], "target_var_name": "n", "target_value": 80, "value_dict": {"k": 10}, "is_reverse": true}}
| 25,521
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = x + 12; u = c + 3; v = m + 19; x = o + 9; d = v + 17; o = g + 20; f = k + 4; b = u + 19; g = k + 10; k = 10; t = f + 15; m = t + 1; n = d + 14. If k = 10, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = v + 17 to n, which gives n = v + 31.\n2. Substitute v = m + 19 to n, which gives n = m + 50.\n3. Substitute m = t + 1 to n, which gives n = t + 51.\n4. Substitute t = f + 15 to n, which gives n = f + 66.\n5. Substitute f = k + 4 to n, which gives n = k + 70.\n6. Substitute k = 10 to n, which gives n = 80.\n\nThus, the final answer is n = \\boxed{80}.",
"index": 25521,
"question": "Consider a system of variables where each variable is defined as follows: c = x + 12; u = c + 3; v = m + 19; x = o + 9; d = v + 17; o = g + 20; f = k + 4; b = u + 19; g = k + 10; k = 10; t = f + 15; m = t + 1; n = d + 14. If k = 10, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"w": "l + 9", "c": "w + 4", "r": "c + 13", "h": "r + 12", "t": "h + 13", "x": "t + 4", "m": "l + 20", "y": "m + 12", "q": "y + 1", "k": "q + 13", "v": "k + 11", "g": "v + 11", "l": 13}, "premises": {"l": 13}, "target": "x"}, "answer": {"steps": [["t", "h + 13", "h + 17"], ["h", "r + 12", "r + 29"], ["r", "c + 13", "c + 42"], ["c", "w + 4", "w + 46"], ["w", "l + 9", "l + 55"], ["l", 13, "68"]], "target_var_name": "x", "target_value": 68, "value_dict": {"l": 13}, "is_reverse": true}}
| 25,522
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = t + 4; l = 13; k = q + 13; v = k + 11; q = y + 1; t = h + 13; w = l + 9; r = c + 13; m = l + 20; y = m + 12; g = v + 11; c = w + 4; h = r + 12. Given that l = 13, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = h + 13 to x, which gives x = h + 17.\n2. Substitute h = r + 12 to x, which gives x = r + 29.\n3. Substitute r = c + 13 to x, which gives x = c + 42.\n4. Substitute c = w + 4 to x, which gives x = w + 46.\n5. Substitute w = l + 9 to x, which gives x = l + 55.\n6. Substitute l = 13 to x, which gives x = 68.\n\nThus, the final answer is x = \\boxed{68}.",
"index": 25522,
"question": "Suppose a collection of variables is related by the following definitions: x = t + 4; l = 13; k = q + 13; v = k + 11; q = y + 1; t = h + 13; w = l + 9; r = c + 13; m = l + 20; y = m + 12; g = v + 11; c = w + 4; h = r + 12. Given that l = 13, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"r": "x + 12", "p": "r + 20", "v": "p + 6", "s": "v + 5", "k": "s + 5", "m": "k + 6", "f": "x + 17", "e": "f + 5", "c": "e + 16", "u": "c + 6", "g": "u + 17", "a": "g + 15", "x": 12}, "premises": {"x": 12}, "target": "m"}, "answer": {"steps": [["k", "s + 5", "s + 11"], ["s", "v + 5", "v + 16"], ["v", "p + 6", "p + 22"], ["p", "r + 20", "r + 42"], ["r", "x + 12", "x + 54"], ["x", 12, "66"]], "target_var_name": "m", "target_value": 66, "value_dict": {"x": 12}, "is_reverse": true}}
| 25,523
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = x + 17; s = v + 5; g = u + 17; m = k + 6; p = r + 20; r = x + 12; a = g + 15; k = s + 5; v = p + 6; x = 12; u = c + 6; c = e + 16; e = f + 5. If x = 12, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = s + 5 to m, which gives m = s + 11.\n2. Substitute s = v + 5 to m, which gives m = v + 16.\n3. Substitute v = p + 6 to m, which gives m = p + 22.\n4. Substitute p = r + 20 to m, which gives m = r + 42.\n5. Substitute r = x + 12 to m, which gives m = x + 54.\n6. Substitute x = 12 to m, which gives m = 66.\n\nThus, the final answer is m = \\boxed{66}.",
"index": 25523,
"question": "Consider a system of variables where each variable is defined as follows: f = x + 17; s = v + 5; g = u + 17; m = k + 6; p = r + 20; r = x + 12; a = g + 15; k = s + 5; v = p + 6; x = 12; u = c + 6; c = e + 16; e = f + 5. If x = 12, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"e": "d + 14", "u": "e + 13", "b": "u + 7", "w": "b + 18", "f": "w + 15", "i": "f + 4", "k": "d + 19", "r": "k + 12", "s": "r + 3", "g": "s + 15", "l": "g + 9", "m": "l + 3", "d": 3}, "premises": {"d": 3}, "target": "i"}, "answer": {"steps": [["f", "w + 15", "w + 19"], ["w", "b + 18", "b + 37"], ["b", "u + 7", "u + 44"], ["u", "e + 13", "e + 57"], ["e", "d + 14", "d + 71"], ["d", 3, "74"]], "target_var_name": "i", "target_value": 74, "value_dict": {"d": 3}, "is_reverse": true}}
| 25,524
| 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 = d + 14; w = b + 18; u = e + 13; i = f + 4; r = k + 12; b = u + 7; k = d + 19; l = g + 9; g = s + 15; m = l + 3; f = w + 15; s = r + 3; d = 3. If d = 3, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = w + 15 to i, which gives i = w + 19.\n2. Substitute w = b + 18 to i, which gives i = b + 37.\n3. Substitute b = u + 7 to i, which gives i = u + 44.\n4. Substitute u = e + 13 to i, which gives i = e + 57.\n5. Substitute e = d + 14 to i, which gives i = d + 71.\n6. Substitute d = 3 to i, which gives i = 74.\n\nThus, the final answer is i = \\boxed{74}.",
"index": 25524,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = d + 14; w = b + 18; u = e + 13; i = f + 4; r = k + 12; b = u + 7; k = d + 19; l = g + 9; g = s + 15; m = l + 3; f = w + 15; s = r + 3; d = 3. If d = 3, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"q": "u + 7", "z": "q + 6", "c": "z + 6", "b": "c + 12", "s": "b + 1", "p": "s + 12", "h": "u + 11", "f": "h + 8", "j": "f + 20", "x": "j + 1", "r": "x + 9", "a": "r + 19", "u": 18}, "premises": {"u": 18}, "target": "p"}, "answer": {"steps": [["s", "b + 1", "b + 13"], ["b", "c + 12", "c + 25"], ["c", "z + 6", "z + 31"], ["z", "q + 6", "q + 37"], ["q", "u + 7", "u + 44"], ["u", 18, "62"]], "target_var_name": "p", "target_value": 62, "value_dict": {"u": 18}, "is_reverse": true}}
| 25,525
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = c + 12; q = u + 7; z = q + 6; a = r + 19; c = z + 6; h = u + 11; p = s + 12; u = 18; s = b + 1; r = x + 9; x = j + 1; j = f + 20; f = h + 8. If u = 18, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = b + 1 to p, which gives p = b + 13.\n2. Substitute b = c + 12 to p, which gives p = c + 25.\n3. Substitute c = z + 6 to p, which gives p = z + 31.\n4. Substitute z = q + 6 to p, which gives p = q + 37.\n5. Substitute q = u + 7 to p, which gives p = u + 44.\n6. Substitute u = 18 to p, which gives p = 62.\n\nThus, the final answer is p = \\boxed{62}.",
"index": 25525,
"question": "Consider a system of variables where each variable is defined as follows: b = c + 12; q = u + 7; z = q + 6; a = r + 19; c = z + 6; h = u + 11; p = s + 12; u = 18; s = b + 1; r = x + 9; x = j + 1; j = f + 20; f = h + 8. If u = 18, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"f": "q + 5", "w": "f + 6", "a": "w + 6", "l": "a + 2", "i": "l + 19", "n": "i + 10", "s": "q + 1", "g": "s + 1", "v": "g + 14", "b": "v + 7", "z": "b + 1", "r": "z + 18", "q": 17}, "premises": {"q": 17}, "target": "n"}, "answer": {"steps": [["i", "l + 19", "l + 29"], ["l", "a + 2", "a + 31"], ["a", "w + 6", "w + 37"], ["w", "f + 6", "f + 43"], ["f", "q + 5", "q + 48"], ["q", 17, "65"]], "target_var_name": "n", "target_value": 65, "value_dict": {"q": 17}, "is_reverse": true}}
| 25,526
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = z + 18; v = g + 14; b = v + 7; f = q + 5; n = i + 10; q = 17; z = b + 1; i = l + 19; w = f + 6; g = s + 1; l = a + 2; s = q + 1; a = w + 6. If q = 17, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = l + 19 to n, which gives n = l + 29.\n2. Substitute l = a + 2 to n, which gives n = a + 31.\n3. Substitute a = w + 6 to n, which gives n = w + 37.\n4. Substitute w = f + 6 to n, which gives n = f + 43.\n5. Substitute f = q + 5 to n, which gives n = q + 48.\n6. Substitute q = 17 to n, which gives n = 65.\n\nThus, the final answer is n = \\boxed{65}.",
"index": 25526,
"question": "Consider a system of variables where each variable is defined as follows: r = z + 18; v = g + 14; b = v + 7; f = q + 5; n = i + 10; q = 17; z = b + 1; i = l + 19; w = f + 6; g = s + 1; l = a + 2; s = q + 1; a = w + 6. If q = 17, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"a": "w + 5", "x": "a + 1", "r": "x + 17", "e": "r + 4", "z": "e + 13", "f": "z + 11", "j": "w + 19", "q": "j + 19", "n": "q + 12", "b": "n + 8", "h": "b + 4", "g": "h + 18", "w": 16}, "premises": {"w": 16}, "target": "f"}, "answer": {"steps": [["z", "e + 13", "e + 24"], ["e", "r + 4", "r + 28"], ["r", "x + 17", "x + 45"], ["x", "a + 1", "a + 46"], ["a", "w + 5", "w + 51"], ["w", 16, "67"]], "target_var_name": "f", "target_value": 67, "value_dict": {"w": 16}, "is_reverse": true}}
| 25,527
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = q + 12; g = h + 18; a = w + 5; w = 16; h = b + 4; r = x + 17; b = n + 8; q = j + 19; z = e + 13; f = z + 11; j = w + 19; e = r + 4; x = a + 1. Given that w = 16, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = e + 13 to f, which gives f = e + 24.\n2. Substitute e = r + 4 to f, which gives f = r + 28.\n3. Substitute r = x + 17 to f, which gives f = x + 45.\n4. Substitute x = a + 1 to f, which gives f = a + 46.\n5. Substitute a = w + 5 to f, which gives f = w + 51.\n6. Substitute w = 16 to f, which gives f = 67.\n\nThus, the final answer is f = \\boxed{67}.",
"index": 25527,
"question": "Suppose a collection of variables is related by the following definitions: n = q + 12; g = h + 18; a = w + 5; w = 16; h = b + 4; r = x + 17; b = n + 8; q = j + 19; z = e + 13; f = z + 11; j = w + 19; e = r + 4; x = a + 1. Given that w = 16, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"k": "i + 12", "o": "k + 12", "l": "o + 7", "j": "l + 19", "x": "j + 4", "h": "x + 4", "n": "i + 17", "v": "n + 15", "p": "v + 2", "w": "p + 20", "a": "w + 9", "g": "a + 12", "i": 19}, "premises": {"i": 19}, "target": "h"}, "answer": {"steps": [["x", "j + 4", "j + 8"], ["j", "l + 19", "l + 27"], ["l", "o + 7", "o + 34"], ["o", "k + 12", "k + 46"], ["k", "i + 12", "i + 58"], ["i", 19, "77"]], "target_var_name": "h", "target_value": 77, "value_dict": {"i": 19}, "is_reverse": true}}
| 25,528
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = i + 17; a = w + 9; i = 19; o = k + 12; l = o + 7; w = p + 20; k = i + 12; p = v + 2; h = x + 4; j = l + 19; x = j + 4; v = n + 15; g = a + 12. Given that i = 19, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = j + 4 to h, which gives h = j + 8.\n2. Substitute j = l + 19 to h, which gives h = l + 27.\n3. Substitute l = o + 7 to h, which gives h = o + 34.\n4. Substitute o = k + 12 to h, which gives h = k + 46.\n5. Substitute k = i + 12 to h, which gives h = i + 58.\n6. Substitute i = 19 to h, which gives h = 77.\n\nThus, the final answer is h = \\boxed{77}.",
"index": 25528,
"question": "Suppose a collection of variables is related by the following definitions: n = i + 17; a = w + 9; i = 19; o = k + 12; l = o + 7; w = p + 20; k = i + 12; p = v + 2; h = x + 4; j = l + 19; x = j + 4; v = n + 15; g = a + 12. Given that i = 19, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"d": "a + 1", "w": "d + 5", "b": "w + 9", "n": "b + 17", "u": "n + 19", "r": "u + 18", "l": "a + 18", "m": "l + 17", "k": "m + 15", "g": "k + 3", "q": "g + 20", "o": "q + 3", "a": 19}, "premises": {"a": 19}, "target": "r"}, "answer": {"steps": [["u", "n + 19", "n + 37"], ["n", "b + 17", "b + 54"], ["b", "w + 9", "w + 63"], ["w", "d + 5", "d + 68"], ["d", "a + 1", "a + 69"], ["a", 19, "88"]], "target_var_name": "r", "target_value": 88, "value_dict": {"a": 19}, "is_reverse": true}}
| 25,529
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = k + 3; u = n + 19; l = a + 18; m = l + 17; r = u + 18; b = w + 9; w = d + 5; o = q + 3; q = g + 20; d = a + 1; a = 19; k = m + 15; n = b + 17. If a = 19, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = n + 19 to r, which gives r = n + 37.\n2. Substitute n = b + 17 to r, which gives r = b + 54.\n3. Substitute b = w + 9 to r, which gives r = w + 63.\n4. Substitute w = d + 5 to r, which gives r = d + 68.\n5. Substitute d = a + 1 to r, which gives r = a + 69.\n6. Substitute a = 19 to r, which gives r = 88.\n\nThus, the final answer is r = \\boxed{88}.",
"index": 25529,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = k + 3; u = n + 19; l = a + 18; m = l + 17; r = u + 18; b = w + 9; w = d + 5; o = q + 3; q = g + 20; d = a + 1; a = 19; k = m + 15; n = b + 17. If a = 19, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"j": "n + 4", "s": "j + 20", "x": "s + 1", "k": "x + 6", "b": "k + 12", "d": "b + 14", "f": "n + 2", "t": "f + 12", "c": "t + 19", "a": "c + 4", "g": "a + 8", "z": "g + 19", "n": 2}, "premises": {"n": 2}, "target": "d"}, "answer": {"steps": [["b", "k + 12", "k + 26"], ["k", "x + 6", "x + 32"], ["x", "s + 1", "s + 33"], ["s", "j + 20", "j + 53"], ["j", "n + 4", "n + 57"], ["n", 2, "59"]], "target_var_name": "d", "target_value": 59, "value_dict": {"n": 2}, "is_reverse": true}}
| 25,530
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = k + 12; j = n + 4; f = n + 2; z = g + 19; g = a + 8; n = 2; x = s + 1; k = x + 6; s = j + 20; d = b + 14; a = c + 4; t = f + 12; c = t + 19. Given that n = 2, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = k + 12 to d, which gives d = k + 26.\n2. Substitute k = x + 6 to d, which gives d = x + 32.\n3. Substitute x = s + 1 to d, which gives d = s + 33.\n4. Substitute s = j + 20 to d, which gives d = j + 53.\n5. Substitute j = n + 4 to d, which gives d = n + 57.\n6. Substitute n = 2 to d, which gives d = 59.\n\nThus, the final answer is d = \\boxed{59}.",
"index": 25530,
"question": "Suppose a collection of variables is related by the following definitions: b = k + 12; j = n + 4; f = n + 2; z = g + 19; g = a + 8; n = 2; x = s + 1; k = x + 6; s = j + 20; d = b + 14; a = c + 4; t = f + 12; c = t + 19. Given that n = 2, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"o": "s + 9", "v": "o + 18", "z": "v + 16", "c": "z + 6", "w": "c + 7", "l": "w + 12", "d": "s + 1", "i": "d + 10", "u": "i + 19", "p": "u + 14", "k": "p + 10", "t": "k + 17", "s": 20}, "premises": {"s": 20}, "target": "l"}, "answer": {"steps": [["w", "c + 7", "c + 19"], ["c", "z + 6", "z + 25"], ["z", "v + 16", "v + 41"], ["v", "o + 18", "o + 59"], ["o", "s + 9", "s + 68"], ["s", 20, "88"]], "target_var_name": "l", "target_value": 88, "value_dict": {"s": 20}, "is_reverse": true}}
| 25,531
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = w + 12; p = u + 14; d = s + 1; t = k + 17; s = 20; u = i + 19; k = p + 10; c = z + 6; i = d + 10; o = s + 9; z = v + 16; w = c + 7; v = o + 18. If s = 20, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = c + 7 to l, which gives l = c + 19.\n2. Substitute c = z + 6 to l, which gives l = z + 25.\n3. Substitute z = v + 16 to l, which gives l = v + 41.\n4. Substitute v = o + 18 to l, which gives l = o + 59.\n5. Substitute o = s + 9 to l, which gives l = s + 68.\n6. Substitute s = 20 to l, which gives l = 88.\n\nThus, the final answer is l = \\boxed{88}.",
"index": 25531,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = w + 12; p = u + 14; d = s + 1; t = k + 17; s = 20; u = i + 19; k = p + 10; c = z + 6; i = d + 10; o = s + 9; z = v + 16; w = c + 7; v = o + 18. If s = 20, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"n": "r + 16", "w": "n + 12", "h": "w + 10", "c": "h + 5", "m": "c + 18", "e": "m + 20", "k": "r + 11", "b": "k + 14", "f": "b + 10", "u": "f + 19", "z": "u + 3", "p": "z + 10", "r": 15}, "premises": {"r": 15}, "target": "e"}, "answer": {"steps": [["m", "c + 18", "c + 38"], ["c", "h + 5", "h + 43"], ["h", "w + 10", "w + 53"], ["w", "n + 12", "n + 65"], ["n", "r + 16", "r + 81"], ["r", 15, "96"]], "target_var_name": "e", "target_value": 96, "value_dict": {"r": 15}, "is_reverse": true}}
| 25,532
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = z + 10; u = f + 19; f = b + 10; e = m + 20; r = 15; z = u + 3; k = r + 11; n = r + 16; b = k + 14; m = c + 18; w = n + 12; c = h + 5; h = w + 10. Given that r = 15, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 96,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = c + 18 to e, which gives e = c + 38.\n2. Substitute c = h + 5 to e, which gives e = h + 43.\n3. Substitute h = w + 10 to e, which gives e = w + 53.\n4. Substitute w = n + 12 to e, which gives e = n + 65.\n5. Substitute n = r + 16 to e, which gives e = r + 81.\n6. Substitute r = 15 to e, which gives e = 96.\n\nThus, the final answer is e = \\boxed{96}.",
"index": 25532,
"question": "Suppose a collection of variables is related by the following definitions: p = z + 10; u = f + 19; f = b + 10; e = m + 20; r = 15; z = u + 3; k = r + 11; n = r + 16; b = k + 14; m = c + 18; w = n + 12; c = h + 5; h = w + 10. Given that r = 15, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"h": "a + 11", "i": "h + 19", "c": "i + 7", "r": "c + 1", "v": "r + 13", "m": "v + 5", "u": "a + 11", "o": "u + 20", "z": "o + 3", "x": "z + 2", "q": "x + 9", "d": "q + 17", "a": 5}, "premises": {"a": 5}, "target": "m"}, "answer": {"steps": [["v", "r + 13", "r + 18"], ["r", "c + 1", "c + 19"], ["c", "i + 7", "i + 26"], ["i", "h + 19", "h + 45"], ["h", "a + 11", "a + 56"], ["a", 5, "61"]], "target_var_name": "m", "target_value": 61, "value_dict": {"a": 5}, "is_reverse": true}}
| 25,533
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = 5; h = a + 11; i = h + 19; x = z + 2; d = q + 17; c = i + 7; u = a + 11; z = o + 3; m = v + 5; v = r + 13; r = c + 1; q = x + 9; o = u + 20. If a = 5, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = r + 13 to m, which gives m = r + 18.\n2. Substitute r = c + 1 to m, which gives m = c + 19.\n3. Substitute c = i + 7 to m, which gives m = i + 26.\n4. Substitute i = h + 19 to m, which gives m = h + 45.\n5. Substitute h = a + 11 to m, which gives m = a + 56.\n6. Substitute a = 5 to m, which gives m = 61.\n\nThus, the final answer is m = \\boxed{61}.",
"index": 25533,
"question": "Consider a system of variables where each variable is defined as follows: a = 5; h = a + 11; i = h + 19; x = z + 2; d = q + 17; c = i + 7; u = a + 11; z = o + 3; m = v + 5; v = r + 13; r = c + 1; q = x + 9; o = u + 20. If a = 5, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"w": "e + 16", "t": "w + 12", "s": "t + 11", "d": "s + 18", "y": "d + 12", "z": "y + 9", "h": "e + 5", "u": "h + 17", "l": "u + 4", "j": "l + 11", "o": "j + 6", "x": "o + 16", "e": 16}, "premises": {"e": 16}, "target": "z"}, "answer": {"steps": [["y", "d + 12", "d + 21"], ["d", "s + 18", "s + 39"], ["s", "t + 11", "t + 50"], ["t", "w + 12", "w + 62"], ["w", "e + 16", "e + 78"], ["e", 16, "94"]], "target_var_name": "z", "target_value": 94, "value_dict": {"e": 16}, "is_reverse": true}}
| 25,534
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = d + 12; e = 16; l = u + 4; u = h + 17; o = j + 6; s = t + 11; d = s + 18; w = e + 16; t = w + 12; z = y + 9; h = e + 5; j = l + 11; x = o + 16. Given that e = 16, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = d + 12 to z, which gives z = d + 21.\n2. Substitute d = s + 18 to z, which gives z = s + 39.\n3. Substitute s = t + 11 to z, which gives z = t + 50.\n4. Substitute t = w + 12 to z, which gives z = w + 62.\n5. Substitute w = e + 16 to z, which gives z = e + 78.\n6. Substitute e = 16 to z, which gives z = 94.\n\nThus, the final answer is z = \\boxed{94}.",
"index": 25534,
"question": "Suppose a collection of variables is related by the following definitions: y = d + 12; e = 16; l = u + 4; u = h + 17; o = j + 6; s = t + 11; d = s + 18; w = e + 16; t = w + 12; z = y + 9; h = e + 5; j = l + 11; x = o + 16. Given that e = 16, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"h": "w + 3", "u": "h + 10", "j": "u + 9", "m": "j + 6", "i": "m + 19", "c": "i + 17", "r": "w + 3", "d": "r + 15", "x": "d + 3", "s": "x + 11", "t": "s + 12", "n": "t + 7", "w": 14}, "premises": {"w": 14}, "target": "c"}, "answer": {"steps": [["i", "m + 19", "m + 36"], ["m", "j + 6", "j + 42"], ["j", "u + 9", "u + 51"], ["u", "h + 10", "h + 61"], ["h", "w + 3", "w + 64"], ["w", 14, "78"]], "target_var_name": "c", "target_value": 78, "value_dict": {"w": 14}, "is_reverse": true}}
| 25,535
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = r + 15; h = w + 3; n = t + 7; s = x + 11; t = s + 12; c = i + 17; x = d + 3; w = 14; u = h + 10; j = u + 9; m = j + 6; i = m + 19; r = w + 3. If w = 14, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = m + 19 to c, which gives c = m + 36.\n2. Substitute m = j + 6 to c, which gives c = j + 42.\n3. Substitute j = u + 9 to c, which gives c = u + 51.\n4. Substitute u = h + 10 to c, which gives c = h + 61.\n5. Substitute h = w + 3 to c, which gives c = w + 64.\n6. Substitute w = 14 to c, which gives c = 78.\n\nThus, the final answer is c = \\boxed{78}.",
"index": 25535,
"question": "Consider a system of variables where each variable is defined as follows: d = r + 15; h = w + 3; n = t + 7; s = x + 11; t = s + 12; c = i + 17; x = d + 3; w = 14; u = h + 10; j = u + 9; m = j + 6; i = m + 19; r = w + 3. If w = 14, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"j": "o + 12", "e": "j + 12", "p": "e + 8", "u": "p + 5", "b": "u + 8", "g": "b + 6", "d": "o + 6", "a": "d + 17", "y": "a + 4", "l": "y + 10", "f": "l + 11", "w": "f + 10", "o": 10}, "premises": {"o": 10}, "target": "g"}, "answer": {"steps": [["b", "u + 8", "u + 14"], ["u", "p + 5", "p + 19"], ["p", "e + 8", "e + 27"], ["e", "j + 12", "j + 39"], ["j", "o + 12", "o + 51"], ["o", 10, "61"]], "target_var_name": "g", "target_value": 61, "value_dict": {"o": 10}, "is_reverse": true}}
| 25,536
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = u + 8; e = j + 12; y = a + 4; j = o + 12; o = 10; p = e + 8; d = o + 6; w = f + 10; g = b + 6; f = l + 11; a = d + 17; u = p + 5; l = y + 10. If o = 10, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = u + 8 to g, which gives g = u + 14.\n2. Substitute u = p + 5 to g, which gives g = p + 19.\n3. Substitute p = e + 8 to g, which gives g = e + 27.\n4. Substitute e = j + 12 to g, which gives g = j + 39.\n5. Substitute j = o + 12 to g, which gives g = o + 51.\n6. Substitute o = 10 to g, which gives g = 61.\n\nThus, the final answer is g = \\boxed{61}.",
"index": 25536,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = u + 8; e = j + 12; y = a + 4; j = o + 12; o = 10; p = e + 8; d = o + 6; w = f + 10; g = b + 6; f = l + 11; a = d + 17; u = p + 5; l = y + 10. If o = 10, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"j": "p + 9", "u": "j + 8", "l": "u + 16", "g": "l + 6", "a": "g + 12", "s": "a + 6", "o": "p + 9", "b": "o + 2", "n": "b + 12", "f": "n + 11", "r": "f + 7", "i": "r + 1", "p": 2}, "premises": {"p": 2}, "target": "s"}, "answer": {"steps": [["a", "g + 12", "g + 18"], ["g", "l + 6", "l + 24"], ["l", "u + 16", "u + 40"], ["u", "j + 8", "j + 48"], ["j", "p + 9", "p + 57"], ["p", 2, "59"]], "target_var_name": "s", "target_value": 59, "value_dict": {"p": 2}, "is_reverse": true}}
| 25,537
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = b + 12; s = a + 6; r = f + 7; l = u + 16; p = 2; j = p + 9; o = p + 9; i = r + 1; g = l + 6; f = n + 11; a = g + 12; b = o + 2; u = j + 8. Given that p = 2, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = g + 12 to s, which gives s = g + 18.\n2. Substitute g = l + 6 to s, which gives s = l + 24.\n3. Substitute l = u + 16 to s, which gives s = u + 40.\n4. Substitute u = j + 8 to s, which gives s = j + 48.\n5. Substitute j = p + 9 to s, which gives s = p + 57.\n6. Substitute p = 2 to s, which gives s = 59.\n\nThus, the final answer is s = \\boxed{59}.",
"index": 25537,
"question": "Suppose a collection of variables is related by the following definitions: n = b + 12; s = a + 6; r = f + 7; l = u + 16; p = 2; j = p + 9; o = p + 9; i = r + 1; g = l + 6; f = n + 11; a = g + 12; b = o + 2; u = j + 8. Given that p = 2, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"w": "r + 14", "p": "w + 3", "g": "p + 20", "a": "g + 14", "j": "a + 12", "y": "j + 3", "z": "r + 16", "f": "z + 4", "d": "f + 13", "q": "d + 4", "k": "q + 4", "b": "k + 19", "r": 17}, "premises": {"r": 17}, "target": "y"}, "answer": {"steps": [["j", "a + 12", "a + 15"], ["a", "g + 14", "g + 29"], ["g", "p + 20", "p + 49"], ["p", "w + 3", "w + 52"], ["w", "r + 14", "r + 66"], ["r", 17, "83"]], "target_var_name": "y", "target_value": 83, "value_dict": {"r": 17}, "is_reverse": true}}
| 25,538
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = 17; j = a + 12; g = p + 20; y = j + 3; q = d + 4; a = g + 14; d = f + 13; b = k + 19; w = r + 14; k = q + 4; f = z + 4; z = r + 16; p = w + 3. If r = 17, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = a + 12 to y, which gives y = a + 15.\n2. Substitute a = g + 14 to y, which gives y = g + 29.\n3. Substitute g = p + 20 to y, which gives y = p + 49.\n4. Substitute p = w + 3 to y, which gives y = w + 52.\n5. Substitute w = r + 14 to y, which gives y = r + 66.\n6. Substitute r = 17 to y, which gives y = 83.\n\nThus, the final answer is y = \\boxed{83}.",
"index": 25538,
"question": "Consider a system of variables where each variable is defined as follows: r = 17; j = a + 12; g = p + 20; y = j + 3; q = d + 4; a = g + 14; d = f + 13; b = k + 19; w = r + 14; k = q + 4; f = z + 4; z = r + 16; p = w + 3. If r = 17, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"z": "d + 18", "c": "z + 13", "i": "c + 8", "w": "i + 2", "t": "w + 6", "y": "t + 17", "n": "d + 3", "x": "n + 11", "e": "x + 4", "q": "e + 5", "h": "q + 19", "s": "h + 7", "d": 16}, "premises": {"d": 16}, "target": "y"}, "answer": {"steps": [["t", "w + 6", "w + 23"], ["w", "i + 2", "i + 25"], ["i", "c + 8", "c + 33"], ["c", "z + 13", "z + 46"], ["z", "d + 18", "d + 64"], ["d", 16, "80"]], "target_var_name": "y", "target_value": 80, "value_dict": {"d": 16}, "is_reverse": true}}
| 25,539
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = q + 19; n = d + 3; e = x + 4; i = c + 8; w = i + 2; z = d + 18; c = z + 13; x = n + 11; q = e + 5; d = 16; y = t + 17; t = w + 6; s = h + 7. Given that d = 16, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = w + 6 to y, which gives y = w + 23.\n2. Substitute w = i + 2 to y, which gives y = i + 25.\n3. Substitute i = c + 8 to y, which gives y = c + 33.\n4. Substitute c = z + 13 to y, which gives y = z + 46.\n5. Substitute z = d + 18 to y, which gives y = d + 64.\n6. Substitute d = 16 to y, which gives y = 80.\n\nThus, the final answer is y = \\boxed{80}.",
"index": 25539,
"question": "Suppose a collection of variables is related by the following definitions: h = q + 19; n = d + 3; e = x + 4; i = c + 8; w = i + 2; z = d + 18; c = z + 13; x = n + 11; q = e + 5; d = 16; y = t + 17; t = w + 6; s = h + 7. Given that d = 16, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"w": "n + 2", "u": "w + 1", "s": "u + 1", "i": "s + 14", "z": "i + 2", "q": "z + 10", "l": "n + 19", "t": "l + 19", "k": "t + 16", "m": "k + 17", "e": "m + 12", "v": "e + 3", "n": 16}, "premises": {"n": 16}, "target": "q"}, "answer": {"steps": [["z", "i + 2", "i + 12"], ["i", "s + 14", "s + 26"], ["s", "u + 1", "u + 27"], ["u", "w + 1", "w + 28"], ["w", "n + 2", "n + 30"], ["n", 16, "46"]], "target_var_name": "q", "target_value": 46, "value_dict": {"n": 16}, "is_reverse": true}}
| 25,540
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = 16; u = w + 1; k = t + 16; t = l + 19; z = i + 2; w = n + 2; m = k + 17; q = z + 10; i = s + 14; s = u + 1; e = m + 12; l = n + 19; v = e + 3. If n = 16, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 46,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = i + 2 to q, which gives q = i + 12.\n2. Substitute i = s + 14 to q, which gives q = s + 26.\n3. Substitute s = u + 1 to q, which gives q = u + 27.\n4. Substitute u = w + 1 to q, which gives q = w + 28.\n5. Substitute w = n + 2 to q, which gives q = n + 30.\n6. Substitute n = 16 to q, which gives q = 46.\n\nThus, the final answer is q = \\boxed{46}.",
"index": 25540,
"question": "Consider a system of variables where each variable is defined as follows: n = 16; u = w + 1; k = t + 16; t = l + 19; z = i + 2; w = n + 2; m = k + 17; q = z + 10; i = s + 14; s = u + 1; e = m + 12; l = n + 19; v = e + 3. If n = 16, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"s": "j + 15", "k": "s + 11", "w": "k + 7", "h": "w + 11", "m": "h + 16", "z": "m + 6", "c": "j + 18", "q": "c + 6", "d": "q + 5", "r": "d + 3", "y": "r + 14", "p": "y + 2", "j": 17}, "premises": {"j": 17}, "target": "z"}, "answer": {"steps": [["m", "h + 16", "h + 22"], ["h", "w + 11", "w + 33"], ["w", "k + 7", "k + 40"], ["k", "s + 11", "s + 51"], ["s", "j + 15", "j + 66"], ["j", 17, "83"]], "target_var_name": "z", "target_value": 83, "value_dict": {"j": 17}, "is_reverse": true}}
| 25,541
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = k + 7; j = 17; q = c + 6; h = w + 11; p = y + 2; r = d + 3; m = h + 16; y = r + 14; s = j + 15; k = s + 11; c = j + 18; d = q + 5; z = m + 6. If j = 17, determine the 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 m = h + 16 to z, which gives z = h + 22.\n2. Substitute h = w + 11 to z, which gives z = w + 33.\n3. Substitute w = k + 7 to z, which gives z = k + 40.\n4. Substitute k = s + 11 to z, which gives z = s + 51.\n5. Substitute s = j + 15 to z, which gives z = j + 66.\n6. Substitute j = 17 to z, which gives z = 83.\n\nThus, the final answer is z = \\boxed{83}.",
"index": 25541,
"question": "Consider a system of variables where each variable is defined as follows: w = k + 7; j = 17; q = c + 6; h = w + 11; p = y + 2; r = d + 3; m = h + 16; y = r + 14; s = j + 15; k = s + 11; c = j + 18; d = q + 5; z = m + 6. If j = 17, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"n": "e + 17", "d": "n + 4", "p": "d + 19", "l": "p + 7", "t": "l + 16", "x": "t + 20", "v": "e + 8", "f": "v + 20", "b": "f + 3", "g": "b + 5", "c": "g + 19", "h": "c + 9", "e": 1}, "premises": {"e": 1}, "target": "x"}, "answer": {"steps": [["t", "l + 16", "l + 36"], ["l", "p + 7", "p + 43"], ["p", "d + 19", "d + 62"], ["d", "n + 4", "n + 66"], ["n", "e + 17", "e + 83"], ["e", 1, "84"]], "target_var_name": "x", "target_value": 84, "value_dict": {"e": 1}, "is_reverse": true}}
| 25,542
| 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 + 8; e = 1; t = l + 16; g = b + 5; b = f + 3; x = t + 20; c = g + 19; f = v + 20; l = p + 7; n = e + 17; p = d + 19; h = c + 9; d = n + 4. If e = 1, 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 t = l + 16 to x, which gives x = l + 36.\n2. Substitute l = p + 7 to x, which gives x = p + 43.\n3. Substitute p = d + 19 to x, which gives x = d + 62.\n4. Substitute d = n + 4 to x, which gives x = n + 66.\n5. Substitute n = e + 17 to x, which gives x = e + 83.\n6. Substitute e = 1 to x, which gives x = 84.\n\nThus, the final answer is x = \\boxed{84}.",
"index": 25542,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = e + 8; e = 1; t = l + 16; g = b + 5; b = f + 3; x = t + 20; c = g + 19; f = v + 20; l = p + 7; n = e + 17; p = d + 19; h = c + 9; d = n + 4. If e = 1, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"i": "t + 12", "q": "i + 18", "c": "q + 1", "b": "c + 4", "k": "b + 1", "w": "k + 7", "n": "t + 18", "f": "n + 12", "o": "f + 16", "y": "o + 15", "v": "y + 8", "a": "v + 5", "t": 14}, "premises": {"t": 14}, "target": "w"}, "answer": {"steps": [["k", "b + 1", "b + 8"], ["b", "c + 4", "c + 12"], ["c", "q + 1", "q + 13"], ["q", "i + 18", "i + 31"], ["i", "t + 12", "t + 43"], ["t", 14, "57"]], "target_var_name": "w", "target_value": 57, "value_dict": {"t": 14}, "is_reverse": true}}
| 25,543
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = k + 7; t = 14; q = i + 18; i = t + 12; f = n + 12; n = t + 18; k = b + 1; o = f + 16; v = y + 8; y = o + 15; c = q + 1; a = v + 5; b = c + 4. If t = 14, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = b + 1 to w, which gives w = b + 8.\n2. Substitute b = c + 4 to w, which gives w = c + 12.\n3. Substitute c = q + 1 to w, which gives w = q + 13.\n4. Substitute q = i + 18 to w, which gives w = i + 31.\n5. Substitute i = t + 12 to w, which gives w = t + 43.\n6. Substitute t = 14 to w, which gives w = 57.\n\nThus, the final answer is w = \\boxed{57}.",
"index": 25543,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = k + 7; t = 14; q = i + 18; i = t + 12; f = n + 12; n = t + 18; k = b + 1; o = f + 16; v = y + 8; y = o + 15; c = q + 1; a = v + 5; b = c + 4. If t = 14, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"j": "f + 11", "s": "j + 13", "x": "s + 11", "b": "x + 10", "i": "b + 6", "g": "i + 18", "k": "f + 6", "w": "k + 14", "m": "w + 19", "n": "m + 12", "r": "n + 6", "u": "r + 7", "f": 7}, "premises": {"f": 7}, "target": "g"}, "answer": {"steps": [["i", "b + 6", "b + 24"], ["b", "x + 10", "x + 34"], ["x", "s + 11", "s + 45"], ["s", "j + 13", "j + 58"], ["j", "f + 11", "f + 69"], ["f", 7, "76"]], "target_var_name": "g", "target_value": 76, "value_dict": {"f": 7}, "is_reverse": true}}
| 25,544
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = s + 11; n = m + 12; k = f + 6; f = 7; u = r + 7; j = f + 11; s = j + 13; g = i + 18; m = w + 19; r = n + 6; i = b + 6; b = x + 10; w = k + 14. If f = 7, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = b + 6 to g, which gives g = b + 24.\n2. Substitute b = x + 10 to g, which gives g = x + 34.\n3. Substitute x = s + 11 to g, which gives g = s + 45.\n4. Substitute s = j + 13 to g, which gives g = j + 58.\n5. Substitute j = f + 11 to g, which gives g = f + 69.\n6. Substitute f = 7 to g, which gives g = 76.\n\nThus, the final answer is g = \\boxed{76}.",
"index": 25544,
"question": "Consider a system of variables where each variable is defined as follows: x = s + 11; n = m + 12; k = f + 6; f = 7; u = r + 7; j = f + 11; s = j + 13; g = i + 18; m = w + 19; r = n + 6; i = b + 6; b = x + 10; w = k + 14. If f = 7, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"z": "n + 3", "q": "z + 15", "e": "q + 2", "u": "e + 16", "g": "u + 12", "t": "g + 16", "d": "n + 20", "i": "d + 14", "a": "i + 10", "s": "a + 5", "o": "s + 15", "c": "o + 18", "n": 9}, "premises": {"n": 9}, "target": "t"}, "answer": {"steps": [["g", "u + 12", "u + 28"], ["u", "e + 16", "e + 44"], ["e", "q + 2", "q + 46"], ["q", "z + 15", "z + 61"], ["z", "n + 3", "n + 64"], ["n", 9, "73"]], "target_var_name": "t", "target_value": 73, "value_dict": {"n": 9}, "is_reverse": true}}
| 25,545
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = n + 3; a = i + 10; q = z + 15; u = e + 16; c = o + 18; e = q + 2; d = n + 20; t = g + 16; g = u + 12; s = a + 5; o = s + 15; i = d + 14; n = 9. Given that n = 9, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = u + 12 to t, which gives t = u + 28.\n2. Substitute u = e + 16 to t, which gives t = e + 44.\n3. Substitute e = q + 2 to t, which gives t = q + 46.\n4. Substitute q = z + 15 to t, which gives t = z + 61.\n5. Substitute z = n + 3 to t, which gives t = n + 64.\n6. Substitute n = 9 to t, which gives t = 73.\n\nThus, the final answer is t = \\boxed{73}.",
"index": 25545,
"question": "Suppose a collection of variables is related by the following definitions: z = n + 3; a = i + 10; q = z + 15; u = e + 16; c = o + 18; e = q + 2; d = n + 20; t = g + 16; g = u + 12; s = a + 5; o = s + 15; i = d + 14; n = 9. Given that n = 9, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"j": "b + 2", "q": "j + 6", "m": "q + 13", "f": "m + 6", "e": "f + 12", "x": "e + 9", "t": "b + 8", "z": "t + 1", "n": "z + 12", "c": "n + 13", "d": "c + 7", "o": "d + 1", "b": 6}, "premises": {"b": 6}, "target": "x"}, "answer": {"steps": [["e", "f + 12", "f + 21"], ["f", "m + 6", "m + 27"], ["m", "q + 13", "q + 40"], ["q", "j + 6", "j + 46"], ["j", "b + 2", "b + 48"], ["b", 6, "54"]], "target_var_name": "x", "target_value": 54, "value_dict": {"b": 6}, "is_reverse": true}}
| 25,546
| 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 = n + 13; q = j + 6; b = 6; t = b + 8; x = e + 9; j = b + 2; z = t + 1; o = d + 1; n = z + 12; d = c + 7; f = m + 6; e = f + 12; m = q + 13. If b = 6, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = f + 12 to x, which gives x = f + 21.\n2. Substitute f = m + 6 to x, which gives x = m + 27.\n3. Substitute m = q + 13 to x, which gives x = q + 40.\n4. Substitute q = j + 6 to x, which gives x = j + 46.\n5. Substitute j = b + 2 to x, which gives x = b + 48.\n6. Substitute b = 6 to x, which gives x = 54.\n\nThus, the final answer is x = \\boxed{54}.",
"index": 25546,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = n + 13; q = j + 6; b = 6; t = b + 8; x = e + 9; j = b + 2; z = t + 1; o = d + 1; n = z + 12; d = c + 7; f = m + 6; e = f + 12; m = q + 13. If b = 6, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"o": "g + 16", "s": "o + 8", "x": "s + 11", "l": "x + 9", "u": "l + 3", "k": "u + 6", "t": "g + 17", "n": "t + 12", "d": "n + 2", "y": "d + 5", "i": "y + 3", "v": "i + 13", "g": 12}, "premises": {"g": 12}, "target": "k"}, "answer": {"steps": [["u", "l + 3", "l + 9"], ["l", "x + 9", "x + 18"], ["x", "s + 11", "s + 29"], ["s", "o + 8", "o + 37"], ["o", "g + 16", "g + 53"], ["g", 12, "65"]], "target_var_name": "k", "target_value": 65, "value_dict": {"g": 12}, "is_reverse": true}}
| 25,547
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = d + 5; n = t + 12; o = g + 16; x = s + 11; s = o + 8; l = x + 9; g = 12; v = i + 13; d = n + 2; k = u + 6; i = y + 3; u = l + 3; t = g + 17. If g = 12, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = l + 3 to k, which gives k = l + 9.\n2. Substitute l = x + 9 to k, which gives k = x + 18.\n3. Substitute x = s + 11 to k, which gives k = s + 29.\n4. Substitute s = o + 8 to k, which gives k = o + 37.\n5. Substitute o = g + 16 to k, which gives k = g + 53.\n6. Substitute g = 12 to k, which gives k = 65.\n\nThus, the final answer is k = \\boxed{65}.",
"index": 25547,
"question": "Consider a system of variables where each variable is defined as follows: y = d + 5; n = t + 12; o = g + 16; x = s + 11; s = o + 8; l = x + 9; g = 12; v = i + 13; d = n + 2; k = u + 6; i = y + 3; u = l + 3; t = g + 17. If g = 12, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"q": "m + 7", "y": "q + 14", "o": "y + 4", "g": "o + 5", "h": "g + 7", "x": "h + 8", "k": "m + 8", "r": "k + 12", "e": "r + 16", "t": "e + 1", "v": "t + 14", "n": "v + 20", "m": 16}, "premises": {"m": 16}, "target": "x"}, "answer": {"steps": [["h", "g + 7", "g + 15"], ["g", "o + 5", "o + 20"], ["o", "y + 4", "y + 24"], ["y", "q + 14", "q + 38"], ["q", "m + 7", "m + 45"], ["m", 16, "61"]], "target_var_name": "x", "target_value": 61, "value_dict": {"m": 16}, "is_reverse": true}}
| 25,548
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = m + 7; e = r + 16; v = t + 14; x = h + 8; o = y + 4; k = m + 8; m = 16; h = g + 7; g = o + 5; r = k + 12; t = e + 1; n = v + 20; y = q + 14. If m = 16, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = g + 7 to x, which gives x = g + 15.\n2. Substitute g = o + 5 to x, which gives x = o + 20.\n3. Substitute o = y + 4 to x, which gives x = y + 24.\n4. Substitute y = q + 14 to x, which gives x = q + 38.\n5. Substitute q = m + 7 to x, which gives x = m + 45.\n6. Substitute m = 16 to x, which gives x = 61.\n\nThus, the final answer is x = \\boxed{61}.",
"index": 25548,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = m + 7; e = r + 16; v = t + 14; x = h + 8; o = y + 4; k = m + 8; m = 16; h = g + 7; g = o + 5; r = k + 12; t = e + 1; n = v + 20; y = q + 14. If m = 16, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"o": "c + 13", "u": "o + 3", "e": "u + 17", "l": "e + 15", "m": "l + 10", "x": "m + 3", "g": "c + 12", "f": "g + 13", "k": "f + 13", "d": "k + 11", "w": "d + 19", "i": "w + 16", "c": 5}, "premises": {"c": 5}, "target": "x"}, "answer": {"steps": [["m", "l + 10", "l + 13"], ["l", "e + 15", "e + 28"], ["e", "u + 17", "u + 45"], ["u", "o + 3", "o + 48"], ["o", "c + 13", "c + 61"], ["c", 5, "66"]], "target_var_name": "x", "target_value": 66, "value_dict": {"c": 5}, "is_reverse": true}}
| 25,549
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = w + 16; k = f + 13; e = u + 17; l = e + 15; g = c + 12; o = c + 13; c = 5; f = g + 13; m = l + 10; x = m + 3; w = d + 19; d = k + 11; u = o + 3. Given that c = 5, 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 m = l + 10 to x, which gives x = l + 13.\n2. Substitute l = e + 15 to x, which gives x = e + 28.\n3. Substitute e = u + 17 to x, which gives x = u + 45.\n4. Substitute u = o + 3 to x, which gives x = o + 48.\n5. Substitute o = c + 13 to x, which gives x = c + 61.\n6. Substitute c = 5 to x, which gives x = 66.\n\nThus, the final answer is x = \\boxed{66}.",
"index": 25549,
"question": "Suppose a collection of variables is related by the following definitions: i = w + 16; k = f + 13; e = u + 17; l = e + 15; g = c + 12; o = c + 13; c = 5; f = g + 13; m = l + 10; x = m + 3; w = d + 19; d = k + 11; u = o + 3. Given that c = 5, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"z": "n + 7", "a": "z + 1", "l": "a + 18", "s": "l + 2", "p": "s + 9", "i": "p + 9", "q": "n + 16", "e": "q + 17", "m": "e + 14", "r": "m + 1", "g": "r + 13", "k": "g + 2", "n": 13}, "premises": {"n": 13}, "target": "i"}, "answer": {"steps": [["p", "s + 9", "s + 18"], ["s", "l + 2", "l + 20"], ["l", "a + 18", "a + 38"], ["a", "z + 1", "z + 39"], ["z", "n + 7", "n + 46"], ["n", 13, "59"]], "target_var_name": "i", "target_value": 59, "value_dict": {"n": 13}, "is_reverse": true}}
| 25,550
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = m + 1; i = p + 9; s = l + 2; z = n + 7; k = g + 2; p = s + 9; g = r + 13; n = 13; e = q + 17; m = e + 14; q = n + 16; l = a + 18; a = z + 1. If n = 13, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = s + 9 to i, which gives i = s + 18.\n2. Substitute s = l + 2 to i, which gives i = l + 20.\n3. Substitute l = a + 18 to i, which gives i = a + 38.\n4. Substitute a = z + 1 to i, which gives i = z + 39.\n5. Substitute z = n + 7 to i, which gives i = n + 46.\n6. Substitute n = 13 to i, which gives i = 59.\n\nThus, the final answer is i = \\boxed{59}.",
"index": 25550,
"question": "Consider a system of variables where each variable is defined as follows: r = m + 1; i = p + 9; s = l + 2; z = n + 7; k = g + 2; p = s + 9; g = r + 13; n = 13; e = q + 17; m = e + 14; q = n + 16; l = a + 18; a = z + 1. If n = 13, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"s": "w + 5", "b": "s + 7", "h": "b + 15", "n": "h + 10", "m": "n + 3", "i": "m + 15", "o": "w + 20", "z": "o + 18", "y": "z + 8", "v": "y + 18", "g": "v + 11", "p": "g + 7", "w": 8}, "premises": {"w": 8}, "target": "i"}, "answer": {"steps": [["m", "n + 3", "n + 18"], ["n", "h + 10", "h + 28"], ["h", "b + 15", "b + 43"], ["b", "s + 7", "s + 50"], ["s", "w + 5", "w + 55"], ["w", 8, "63"]], "target_var_name": "i", "target_value": 63, "value_dict": {"w": 8}, "is_reverse": true}}
| 25,551
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = g + 7; b = s + 7; z = o + 18; s = w + 5; y = z + 8; h = b + 15; o = w + 20; v = y + 18; g = v + 11; i = m + 15; m = n + 3; w = 8; n = h + 10. Given that w = 8, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = n + 3 to i, which gives i = n + 18.\n2. Substitute n = h + 10 to i, which gives i = h + 28.\n3. Substitute h = b + 15 to i, which gives i = b + 43.\n4. Substitute b = s + 7 to i, which gives i = s + 50.\n5. Substitute s = w + 5 to i, which gives i = w + 55.\n6. Substitute w = 8 to i, which gives i = 63.\n\nThus, the final answer is i = \\boxed{63}.",
"index": 25551,
"question": "Suppose a collection of variables is related by the following definitions: p = g + 7; b = s + 7; z = o + 18; s = w + 5; y = z + 8; h = b + 15; o = w + 20; v = y + 18; g = v + 11; i = m + 15; m = n + 3; w = 8; n = h + 10. Given that w = 8, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"t": "g + 15", "u": "t + 10", "y": "u + 19", "i": "y + 20", "b": "i + 15", "o": "b + 3", "k": "g + 13", "z": "k + 2", "m": "z + 7", "s": "m + 16", "r": "s + 15", "a": "r + 10", "g": 4}, "premises": {"g": 4}, "target": "o"}, "answer": {"steps": [["b", "i + 15", "i + 18"], ["i", "y + 20", "y + 38"], ["y", "u + 19", "u + 57"], ["u", "t + 10", "t + 67"], ["t", "g + 15", "g + 82"], ["g", 4, "86"]], "target_var_name": "o", "target_value": 86, "value_dict": {"g": 4}, "is_reverse": true}}
| 25,552
| 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 = r + 10; k = g + 13; u = t + 10; s = m + 16; o = b + 3; m = z + 7; i = y + 20; z = k + 2; r = s + 15; y = u + 19; g = 4; b = i + 15; t = g + 15. If g = 4, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = i + 15 to o, which gives o = i + 18.\n2. Substitute i = y + 20 to o, which gives o = y + 38.\n3. Substitute y = u + 19 to o, which gives o = u + 57.\n4. Substitute u = t + 10 to o, which gives o = t + 67.\n5. Substitute t = g + 15 to o, which gives o = g + 82.\n6. Substitute g = 4 to o, which gives o = 86.\n\nThus, the final answer is o = \\boxed{86}.",
"index": 25552,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = r + 10; k = g + 13; u = t + 10; s = m + 16; o = b + 3; m = z + 7; i = y + 20; z = k + 2; r = s + 15; y = u + 19; g = 4; b = i + 15; t = g + 15. If g = 4, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"f": "g + 9", "b": "f + 15", "h": "b + 14", "r": "h + 4", "n": "r + 6", "d": "n + 10", "p": "g + 4", "k": "p + 2", "s": "k + 8", "l": "s + 15", "u": "l + 18", "w": "u + 19", "g": 9}, "premises": {"g": 9}, "target": "d"}, "answer": {"steps": [["n", "r + 6", "r + 16"], ["r", "h + 4", "h + 20"], ["h", "b + 14", "b + 34"], ["b", "f + 15", "f + 49"], ["f", "g + 9", "g + 58"], ["g", 9, "67"]], "target_var_name": "d", "target_value": 67, "value_dict": {"g": 9}, "is_reverse": true}}
| 25,553
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = b + 14; f = g + 9; g = 9; r = h + 4; k = p + 2; d = n + 10; p = g + 4; l = s + 15; s = k + 8; n = r + 6; b = f + 15; w = u + 19; u = l + 18. Given that g = 9, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = r + 6 to d, which gives d = r + 16.\n2. Substitute r = h + 4 to d, which gives d = h + 20.\n3. Substitute h = b + 14 to d, which gives d = b + 34.\n4. Substitute b = f + 15 to d, which gives d = f + 49.\n5. Substitute f = g + 9 to d, which gives d = g + 58.\n6. Substitute g = 9 to d, which gives d = 67.\n\nThus, the final answer is d = \\boxed{67}.",
"index": 25553,
"question": "Suppose a collection of variables is related by the following definitions: h = b + 14; f = g + 9; g = 9; r = h + 4; k = p + 2; d = n + 10; p = g + 4; l = s + 15; s = k + 8; n = r + 6; b = f + 15; w = u + 19; u = l + 18. Given that g = 9, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"w": "l + 12", "b": "w + 12", "t": "b + 3", "r": "t + 14", "p": "r + 11", "x": "p + 15", "q": "l + 8", "u": "q + 5", "o": "u + 8", "j": "o + 9", "g": "j + 17", "n": "g + 4", "l": 13}, "premises": {"l": 13}, "target": "x"}, "answer": {"steps": [["p", "r + 11", "r + 26"], ["r", "t + 14", "t + 40"], ["t", "b + 3", "b + 43"], ["b", "w + 12", "w + 55"], ["w", "l + 12", "l + 67"], ["l", 13, "80"]], "target_var_name": "x", "target_value": 80, "value_dict": {"l": 13}, "is_reverse": true}}
| 25,554
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = p + 15; q = l + 8; l = 13; w = l + 12; t = b + 3; p = r + 11; n = g + 4; o = u + 8; u = q + 5; j = o + 9; g = j + 17; b = w + 12; r = t + 14. If l = 13, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = r + 11 to x, which gives x = r + 26.\n2. Substitute r = t + 14 to x, which gives x = t + 40.\n3. Substitute t = b + 3 to x, which gives x = b + 43.\n4. Substitute b = w + 12 to x, which gives x = w + 55.\n5. Substitute w = l + 12 to x, which gives x = l + 67.\n6. Substitute l = 13 to x, which gives x = 80.\n\nThus, the final answer is x = \\boxed{80}.",
"index": 25554,
"question": "Consider a system of variables where each variable is defined as follows: x = p + 15; q = l + 8; l = 13; w = l + 12; t = b + 3; p = r + 11; n = g + 4; o = u + 8; u = q + 5; j = o + 9; g = j + 17; b = w + 12; r = t + 14. If l = 13, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"b": "u + 9", "c": "b + 6", "d": "c + 1", "r": "d + 3", "w": "r + 1", "f": "w + 11", "n": "u + 1", "a": "n + 7", "m": "a + 13", "x": "m + 9", "g": "x + 20", "v": "g + 20", "u": 2}, "premises": {"u": 2}, "target": "f"}, "answer": {"steps": [["w", "r + 1", "r + 12"], ["r", "d + 3", "d + 15"], ["d", "c + 1", "c + 16"], ["c", "b + 6", "b + 22"], ["b", "u + 9", "u + 31"], ["u", 2, "33"]], "target_var_name": "f", "target_value": 33, "value_dict": {"u": 2}, "is_reverse": true}}
| 25,555
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = m + 9; d = c + 1; u = 2; r = d + 3; g = x + 20; n = u + 1; b = u + 9; f = w + 11; w = r + 1; a = n + 7; v = g + 20; c = b + 6; m = a + 13. Given that u = 2, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 33,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = r + 1 to f, which gives f = r + 12.\n2. Substitute r = d + 3 to f, which gives f = d + 15.\n3. Substitute d = c + 1 to f, which gives f = c + 16.\n4. Substitute c = b + 6 to f, which gives f = b + 22.\n5. Substitute b = u + 9 to f, which gives f = u + 31.\n6. Substitute u = 2 to f, which gives f = 33.\n\nThus, the final answer is f = \\boxed{33}.",
"index": 25555,
"question": "Suppose a collection of variables is related by the following definitions: x = m + 9; d = c + 1; u = 2; r = d + 3; g = x + 20; n = u + 1; b = u + 9; f = w + 11; w = r + 1; a = n + 7; v = g + 20; c = b + 6; m = a + 13. Given that u = 2, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"m": "z + 12", "o": "m + 2", "p": "o + 15", "w": "p + 3", "f": "w + 18", "r": "f + 19", "k": "z + 19", "j": "k + 6", "v": "j + 8", "l": "v + 6", "x": "l + 1", "i": "x + 15", "z": 17}, "premises": {"z": 17}, "target": "r"}, "answer": {"steps": [["f", "w + 18", "w + 37"], ["w", "p + 3", "p + 40"], ["p", "o + 15", "o + 55"], ["o", "m + 2", "m + 57"], ["m", "z + 12", "z + 69"], ["z", 17, "86"]], "target_var_name": "r", "target_value": 86, "value_dict": {"z": 17}, "is_reverse": true}}
| 25,556
| 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 = x + 15; f = w + 18; o = m + 2; w = p + 3; m = z + 12; x = l + 1; z = 17; p = o + 15; l = v + 6; v = j + 8; k = z + 19; r = f + 19; j = k + 6. If z = 17, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = w + 18 to r, which gives r = w + 37.\n2. Substitute w = p + 3 to r, which gives r = p + 40.\n3. Substitute p = o + 15 to r, which gives r = o + 55.\n4. Substitute o = m + 2 to r, which gives r = m + 57.\n5. Substitute m = z + 12 to r, which gives r = z + 69.\n6. Substitute z = 17 to r, which gives r = 86.\n\nThus, the final answer is r = \\boxed{86}.",
"index": 25556,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = x + 15; f = w + 18; o = m + 2; w = p + 3; m = z + 12; x = l + 1; z = 17; p = o + 15; l = v + 6; v = j + 8; k = z + 19; r = f + 19; j = k + 6. If z = 17, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"k": "v + 15", "b": "k + 2", "x": "b + 8", "u": "x + 15", "p": "u + 17", "h": "p + 18", "g": "v + 6", "m": "g + 15", "d": "m + 1", "w": "d + 4", "z": "w + 13", "q": "z + 20", "v": 6}, "premises": {"v": 6}, "target": "h"}, "answer": {"steps": [["p", "u + 17", "u + 35"], ["u", "x + 15", "x + 50"], ["x", "b + 8", "b + 58"], ["b", "k + 2", "k + 60"], ["k", "v + 15", "v + 75"], ["v", 6, "81"]], "target_var_name": "h", "target_value": 81, "value_dict": {"v": 6}, "is_reverse": true}}
| 25,557
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = z + 20; k = v + 15; w = d + 4; m = g + 15; z = w + 13; h = p + 18; x = b + 8; p = u + 17; g = v + 6; d = m + 1; v = 6; b = k + 2; u = x + 15. Given that v = 6, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = u + 17 to h, which gives h = u + 35.\n2. Substitute u = x + 15 to h, which gives h = x + 50.\n3. Substitute x = b + 8 to h, which gives h = b + 58.\n4. Substitute b = k + 2 to h, which gives h = k + 60.\n5. Substitute k = v + 15 to h, which gives h = v + 75.\n6. Substitute v = 6 to h, which gives h = 81.\n\nThus, the final answer is h = \\boxed{81}.",
"index": 25557,
"question": "Suppose a collection of variables is related by the following definitions: q = z + 20; k = v + 15; w = d + 4; m = g + 15; z = w + 13; h = p + 18; x = b + 8; p = u + 17; g = v + 6; d = m + 1; v = 6; b = k + 2; u = x + 15. Given that v = 6, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"h": "p + 3", "m": "h + 15", "k": "m + 2", "d": "k + 3", "c": "d + 9", "b": "c + 4", "t": "p + 7", "u": "t + 16", "v": "u + 13", "i": "v + 5", "w": "i + 10", "y": "w + 2", "p": 12}, "premises": {"p": 12}, "target": "b"}, "answer": {"steps": [["c", "d + 9", "d + 13"], ["d", "k + 3", "k + 16"], ["k", "m + 2", "m + 18"], ["m", "h + 15", "h + 33"], ["h", "p + 3", "p + 36"], ["p", 12, "48"]], "target_var_name": "b", "target_value": 48, "value_dict": {"p": 12}, "is_reverse": true}}
| 25,558
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = t + 16; y = w + 2; t = p + 7; m = h + 15; w = i + 10; d = k + 3; c = d + 9; p = 12; b = c + 4; v = u + 13; i = v + 5; k = m + 2; h = p + 3. Given that p = 12, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 48,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = d + 9 to b, which gives b = d + 13.\n2. Substitute d = k + 3 to b, which gives b = k + 16.\n3. Substitute k = m + 2 to b, which gives b = m + 18.\n4. Substitute m = h + 15 to b, which gives b = h + 33.\n5. Substitute h = p + 3 to b, which gives b = p + 36.\n6. Substitute p = 12 to b, which gives b = 48.\n\nThus, the final answer is b = \\boxed{48}.",
"index": 25558,
"question": "Suppose a collection of variables is related by the following definitions: u = t + 16; y = w + 2; t = p + 7; m = h + 15; w = i + 10; d = k + 3; c = d + 9; p = 12; b = c + 4; v = u + 13; i = v + 5; k = m + 2; h = p + 3. Given that p = 12, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"h": "l + 20", "y": "h + 2", "x": "y + 15", "a": "x + 20", "w": "a + 6", "o": "w + 3", "q": "l + 19", "z": "q + 7", "n": "z + 11", "j": "n + 13", "d": "j + 9", "r": "d + 4", "l": 5}, "premises": {"l": 5}, "target": "o"}, "answer": {"steps": [["w", "a + 6", "a + 9"], ["a", "x + 20", "x + 29"], ["x", "y + 15", "y + 44"], ["y", "h + 2", "h + 46"], ["h", "l + 20", "l + 66"], ["l", 5, "71"]], "target_var_name": "o", "target_value": 71, "value_dict": {"l": 5}, "is_reverse": true}}
| 25,559
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = z + 11; q = l + 19; o = w + 3; j = n + 13; x = y + 15; l = 5; d = j + 9; h = l + 20; y = h + 2; w = a + 6; a = x + 20; z = q + 7; r = d + 4. If l = 5, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = a + 6 to o, which gives o = a + 9.\n2. Substitute a = x + 20 to o, which gives o = x + 29.\n3. Substitute x = y + 15 to o, which gives o = y + 44.\n4. Substitute y = h + 2 to o, which gives o = h + 46.\n5. Substitute h = l + 20 to o, which gives o = l + 66.\n6. Substitute l = 5 to o, which gives o = 71.\n\nThus, the final answer is o = \\boxed{71}.",
"index": 25559,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = z + 11; q = l + 19; o = w + 3; j = n + 13; x = y + 15; l = 5; d = j + 9; h = l + 20; y = h + 2; w = a + 6; a = x + 20; z = q + 7; r = d + 4. If l = 5, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"z": "s + 7", "w": "z + 4", "d": "w + 17", "o": "d + 11", "q": "o + 3", "a": "q + 17", "h": "s + 5", "j": "h + 7", "p": "j + 12", "r": "p + 6", "m": "r + 17", "y": "m + 15", "s": 3}, "premises": {"s": 3}, "target": "a"}, "answer": {"steps": [["q", "o + 3", "o + 20"], ["o", "d + 11", "d + 31"], ["d", "w + 17", "w + 48"], ["w", "z + 4", "z + 52"], ["z", "s + 7", "s + 59"], ["s", 3, "62"]], "target_var_name": "a", "target_value": 62, "value_dict": {"s": 3}, "is_reverse": true}}
| 25,560
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = s + 5; j = h + 7; w = z + 4; p = j + 12; a = q + 17; z = s + 7; r = p + 6; s = 3; d = w + 17; o = d + 11; y = m + 15; q = o + 3; m = r + 17. If s = 3, 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 q = o + 3 to a, which gives a = o + 20.\n2. Substitute o = d + 11 to a, which gives a = d + 31.\n3. Substitute d = w + 17 to a, which gives a = w + 48.\n4. Substitute w = z + 4 to a, which gives a = z + 52.\n5. Substitute z = s + 7 to a, which gives a = s + 59.\n6. Substitute s = 3 to a, which gives a = 62.\n\nThus, the final answer is a = \\boxed{62}.",
"index": 25560,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = s + 5; j = h + 7; w = z + 4; p = j + 12; a = q + 17; z = s + 7; r = p + 6; s = 3; d = w + 17; o = d + 11; y = m + 15; q = o + 3; m = r + 17. If s = 3, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"f": "t + 14", "e": "f + 16", "h": "e + 3", "m": "h + 4", "o": "m + 6", "v": "o + 16", "g": "t + 8", "c": "g + 6", "u": "c + 4", "y": "u + 5", "d": "y + 4", "q": "d + 9", "t": 15}, "premises": {"t": 15}, "target": "v"}, "answer": {"steps": [["o", "m + 6", "m + 22"], ["m", "h + 4", "h + 26"], ["h", "e + 3", "e + 29"], ["e", "f + 16", "f + 45"], ["f", "t + 14", "t + 59"], ["t", 15, "74"]], "target_var_name": "v", "target_value": 74, "value_dict": {"t": 15}, "is_reverse": true}}
| 25,561
| 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 = y + 4; f = t + 14; v = o + 16; q = d + 9; t = 15; h = e + 3; e = f + 16; g = t + 8; y = u + 5; o = m + 6; u = c + 4; m = h + 4; c = g + 6. If t = 15, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = m + 6 to v, which gives v = m + 22.\n2. Substitute m = h + 4 to v, which gives v = h + 26.\n3. Substitute h = e + 3 to v, which gives v = e + 29.\n4. Substitute e = f + 16 to v, which gives v = f + 45.\n5. Substitute f = t + 14 to v, which gives v = t + 59.\n6. Substitute t = 15 to v, which gives v = 74.\n\nThus, the final answer is v = \\boxed{74}.",
"index": 25561,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = y + 4; f = t + 14; v = o + 16; q = d + 9; t = 15; h = e + 3; e = f + 16; g = t + 8; y = u + 5; o = m + 6; u = c + 4; m = h + 4; c = g + 6. If t = 15, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"f": "p + 18", "y": "f + 16", "n": "y + 11", "a": "n + 13", "r": "a + 5", "t": "r + 8", "g": "p + 8", "j": "g + 15", "b": "j + 7", "d": "b + 11", "h": "d + 1", "i": "h + 6", "p": 1}, "premises": {"p": 1}, "target": "t"}, "answer": {"steps": [["r", "a + 5", "a + 13"], ["a", "n + 13", "n + 26"], ["n", "y + 11", "y + 37"], ["y", "f + 16", "f + 53"], ["f", "p + 18", "p + 71"], ["p", 1, "72"]], "target_var_name": "t", "target_value": 72, "value_dict": {"p": 1}, "is_reverse": true}}
| 25,562
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = y + 11; a = n + 13; b = j + 7; r = a + 5; d = b + 11; t = r + 8; f = p + 18; y = f + 16; j = g + 15; h = d + 1; p = 1; g = p + 8; i = h + 6. If p = 1, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = a + 5 to t, which gives t = a + 13.\n2. Substitute a = n + 13 to t, which gives t = n + 26.\n3. Substitute n = y + 11 to t, which gives t = y + 37.\n4. Substitute y = f + 16 to t, which gives t = f + 53.\n5. Substitute f = p + 18 to t, which gives t = p + 71.\n6. Substitute p = 1 to t, which gives t = 72.\n\nThus, the final answer is t = \\boxed{72}.",
"index": 25562,
"question": "Consider a system of variables where each variable is defined as follows: n = y + 11; a = n + 13; b = j + 7; r = a + 5; d = b + 11; t = r + 8; f = p + 18; y = f + 16; j = g + 15; h = d + 1; p = 1; g = p + 8; i = h + 6. If p = 1, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"h": "m + 12", "a": "h + 18", "l": "a + 13", "v": "l + 6", "b": "v + 11", "j": "b + 17", "r": "m + 13", "n": "r + 3", "i": "n + 3", "c": "i + 20", "w": "c + 18", "x": "w + 11", "m": 14}, "premises": {"m": 14}, "target": "j"}, "answer": {"steps": [["b", "v + 11", "v + 28"], ["v", "l + 6", "l + 34"], ["l", "a + 13", "a + 47"], ["a", "h + 18", "h + 65"], ["h", "m + 12", "m + 77"], ["m", 14, "91"]], "target_var_name": "j", "target_value": 91, "value_dict": {"m": 14}, "is_reverse": true}}
| 25,563
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = b + 17; a = h + 18; c = i + 20; v = l + 6; l = a + 13; h = m + 12; x = w + 11; i = n + 3; w = c + 18; b = v + 11; m = 14; n = r + 3; r = m + 13. Given that m = 14, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = v + 11 to j, which gives j = v + 28.\n2. Substitute v = l + 6 to j, which gives j = l + 34.\n3. Substitute l = a + 13 to j, which gives j = a + 47.\n4. Substitute a = h + 18 to j, which gives j = h + 65.\n5. Substitute h = m + 12 to j, which gives j = m + 77.\n6. Substitute m = 14 to j, which gives j = 91.\n\nThus, the final answer is j = \\boxed{91}.",
"index": 25563,
"question": "Suppose a collection of variables is related by the following definitions: j = b + 17; a = h + 18; c = i + 20; v = l + 6; l = a + 13; h = m + 12; x = w + 11; i = n + 3; w = c + 18; b = v + 11; m = 14; n = r + 3; r = m + 13. Given that m = 14, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"i": "r + 9", "x": "i + 5", "a": "x + 12", "b": "a + 14", "g": "b + 12", "o": "g + 12", "d": "r + 3", "l": "d + 7", "f": "l + 13", "m": "f + 14", "s": "m + 18", "q": "s + 11", "r": 13}, "premises": {"r": 13}, "target": "o"}, "answer": {"steps": [["g", "b + 12", "b + 24"], ["b", "a + 14", "a + 38"], ["a", "x + 12", "x + 50"], ["x", "i + 5", "i + 55"], ["i", "r + 9", "r + 64"], ["r", 13, "77"]], "target_var_name": "o", "target_value": 77, "value_dict": {"r": 13}, "is_reverse": true}}
| 25,564
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = l + 13; m = f + 14; r = 13; g = b + 12; i = r + 9; a = x + 12; b = a + 14; l = d + 7; x = i + 5; o = g + 12; q = s + 11; s = m + 18; d = r + 3. If r = 13, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = b + 12 to o, which gives o = b + 24.\n2. Substitute b = a + 14 to o, which gives o = a + 38.\n3. Substitute a = x + 12 to o, which gives o = x + 50.\n4. Substitute x = i + 5 to o, which gives o = i + 55.\n5. Substitute i = r + 9 to o, which gives o = r + 64.\n6. Substitute r = 13 to o, which gives o = 77.\n\nThus, the final answer is o = \\boxed{77}.",
"index": 25564,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = l + 13; m = f + 14; r = 13; g = b + 12; i = r + 9; a = x + 12; b = a + 14; l = d + 7; x = i + 5; o = g + 12; q = s + 11; s = m + 18; d = r + 3. If r = 13, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"h": "u + 6", "z": "h + 1", "v": "z + 4", "f": "v + 18", "g": "f + 1", "n": "g + 7", "b": "u + 16", "q": "b + 10", "t": "q + 13", "y": "t + 2", "a": "y + 7", "l": "a + 4", "u": 3}, "premises": {"u": 3}, "target": "n"}, "answer": {"steps": [["g", "f + 1", "f + 8"], ["f", "v + 18", "v + 26"], ["v", "z + 4", "z + 30"], ["z", "h + 1", "h + 31"], ["h", "u + 6", "u + 37"], ["u", 3, "40"]], "target_var_name": "n", "target_value": 40, "value_dict": {"u": 3}, "is_reverse": true}}
| 25,565
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = h + 1; u = 3; y = t + 2; b = u + 16; a = y + 7; f = v + 18; q = b + 10; n = g + 7; l = a + 4; t = q + 13; v = z + 4; g = f + 1; h = u + 6. If u = 3, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 40,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = f + 1 to n, which gives n = f + 8.\n2. Substitute f = v + 18 to n, which gives n = v + 26.\n3. Substitute v = z + 4 to n, which gives n = z + 30.\n4. Substitute z = h + 1 to n, which gives n = h + 31.\n5. Substitute h = u + 6 to n, which gives n = u + 37.\n6. Substitute u = 3 to n, which gives n = 40.\n\nThus, the final answer is n = \\boxed{40}.",
"index": 25565,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = h + 1; u = 3; y = t + 2; b = u + 16; a = y + 7; f = v + 18; q = b + 10; n = g + 7; l = a + 4; t = q + 13; v = z + 4; g = f + 1; h = u + 6. If u = 3, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"h": "p + 20", "z": "h + 3", "a": "z + 15", "n": "a + 15", "y": "n + 12", "r": "y + 13", "q": "p + 17", "f": "q + 16", "m": "f + 11", "d": "m + 1", "b": "d + 5", "c": "b + 19", "p": 9}, "premises": {"p": 9}, "target": "r"}, "answer": {"steps": [["y", "n + 12", "n + 25"], ["n", "a + 15", "a + 40"], ["a", "z + 15", "z + 55"], ["z", "h + 3", "h + 58"], ["h", "p + 20", "p + 78"], ["p", 9, "87"]], "target_var_name": "r", "target_value": 87, "value_dict": {"p": 9}, "is_reverse": true}}
| 25,566
| 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 = f + 11; d = m + 1; p = 9; z = h + 3; n = a + 15; c = b + 19; r = y + 13; b = d + 5; q = p + 17; a = z + 15; h = p + 20; f = q + 16; y = n + 12. If p = 9, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = n + 12 to r, which gives r = n + 25.\n2. Substitute n = a + 15 to r, which gives r = a + 40.\n3. Substitute a = z + 15 to r, which gives r = z + 55.\n4. Substitute z = h + 3 to r, which gives r = h + 58.\n5. Substitute h = p + 20 to r, which gives r = p + 78.\n6. Substitute p = 9 to r, which gives r = 87.\n\nThus, the final answer is r = \\boxed{87}.",
"index": 25566,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = f + 11; d = m + 1; p = 9; z = h + 3; n = a + 15; c = b + 19; r = y + 13; b = d + 5; q = p + 17; a = z + 15; h = p + 20; f = q + 16; y = n + 12. If p = 9, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"b": "d + 12", "i": "b + 12", "x": "i + 6", "n": "x + 16", "s": "n + 1", "k": "s + 5", "u": "d + 16", "z": "u + 15", "q": "z + 11", "e": "q + 17", "h": "e + 15", "w": "h + 6", "d": 3}, "premises": {"d": 3}, "target": "k"}, "answer": {"steps": [["s", "n + 1", "n + 6"], ["n", "x + 16", "x + 22"], ["x", "i + 6", "i + 28"], ["i", "b + 12", "b + 40"], ["b", "d + 12", "d + 52"], ["d", 3, "55"]], "target_var_name": "k", "target_value": 55, "value_dict": {"d": 3}, "is_reverse": true}}
| 25,567
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = d + 16; n = x + 16; d = 3; h = e + 15; s = n + 1; b = d + 12; q = z + 11; z = u + 15; k = s + 5; e = q + 17; w = h + 6; i = b + 12; x = i + 6. If d = 3, determine the 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 = n + 1 to k, which gives k = n + 6.\n2. Substitute n = x + 16 to k, which gives k = x + 22.\n3. Substitute x = i + 6 to k, which gives k = i + 28.\n4. Substitute i = b + 12 to k, which gives k = b + 40.\n5. Substitute b = d + 12 to k, which gives k = d + 52.\n6. Substitute d = 3 to k, which gives k = 55.\n\nThus, the final answer is k = \\boxed{55}.",
"index": 25567,
"question": "Consider a system of variables where each variable is defined as follows: u = d + 16; n = x + 16; d = 3; h = e + 15; s = n + 1; b = d + 12; q = z + 11; z = u + 15; k = s + 5; e = q + 17; w = h + 6; i = b + 12; x = i + 6. If d = 3, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"j": "v + 7", "e": "j + 9", "r": "e + 16", "n": "r + 18", "h": "n + 16", "i": "h + 16", "y": "v + 8", "g": "y + 14", "f": "g + 15", "x": "f + 3", "o": "x + 3", "c": "o + 12", "v": 5}, "premises": {"v": 5}, "target": "i"}, "answer": {"steps": [["h", "n + 16", "n + 32"], ["n", "r + 18", "r + 50"], ["r", "e + 16", "e + 66"], ["e", "j + 9", "j + 75"], ["j", "v + 7", "v + 82"], ["v", 5, "87"]], "target_var_name": "i", "target_value": 87, "value_dict": {"v": 5}, "is_reverse": true}}
| 25,568
| 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 = 5; h = n + 16; c = o + 12; f = g + 15; o = x + 3; y = v + 8; r = e + 16; g = y + 14; x = f + 3; j = v + 7; e = j + 9; i = h + 16; n = r + 18. If v = 5, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = n + 16 to i, which gives i = n + 32.\n2. Substitute n = r + 18 to i, which gives i = r + 50.\n3. Substitute r = e + 16 to i, which gives i = e + 66.\n4. Substitute e = j + 9 to i, which gives i = j + 75.\n5. Substitute j = v + 7 to i, which gives i = v + 82.\n6. Substitute v = 5 to i, which gives i = 87.\n\nThus, the final answer is i = \\boxed{87}.",
"index": 25568,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = 5; h = n + 16; c = o + 12; f = g + 15; o = x + 3; y = v + 8; r = e + 16; g = y + 14; x = f + 3; j = v + 7; e = j + 9; i = h + 16; n = r + 18. If v = 5, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"o": "c + 10", "w": "o + 11", "u": "w + 14", "b": "u + 4", "d": "b + 9", "s": "d + 11", "n": "c + 1", "e": "n + 20", "y": "e + 9", "a": "y + 14", "v": "a + 14", "m": "v + 12", "c": 19}, "premises": {"c": 19}, "target": "s"}, "answer": {"steps": [["d", "b + 9", "b + 20"], ["b", "u + 4", "u + 24"], ["u", "w + 14", "w + 38"], ["w", "o + 11", "o + 49"], ["o", "c + 10", "c + 59"], ["c", 19, "78"]], "target_var_name": "s", "target_value": 78, "value_dict": {"c": 19}, "is_reverse": true}}
| 25,569
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = b + 9; u = w + 14; v = a + 14; o = c + 10; e = n + 20; y = e + 9; n = c + 1; s = d + 11; w = o + 11; m = v + 12; c = 19; b = u + 4; a = y + 14. If c = 19, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = b + 9 to s, which gives s = b + 20.\n2. Substitute b = u + 4 to s, which gives s = u + 24.\n3. Substitute u = w + 14 to s, which gives s = w + 38.\n4. Substitute w = o + 11 to s, which gives s = o + 49.\n5. Substitute o = c + 10 to s, which gives s = c + 59.\n6. Substitute c = 19 to s, which gives s = 78.\n\nThus, the final answer is s = \\boxed{78}.",
"index": 25569,
"question": "Consider a system of variables where each variable is defined as follows: d = b + 9; u = w + 14; v = a + 14; o = c + 10; e = n + 20; y = e + 9; n = c + 1; s = d + 11; w = o + 11; m = v + 12; c = 19; b = u + 4; a = y + 14. If c = 19, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"k": "x + 11", "u": "k + 4", "c": "u + 2", "w": "c + 8", "j": "w + 20", "t": "j + 16", "f": "x + 15", "n": "f + 18", "q": "n + 3", "i": "q + 19", "z": "i + 6", "h": "z + 7", "x": 19}, "premises": {"x": 19}, "target": "t"}, "answer": {"steps": [["j", "w + 20", "w + 36"], ["w", "c + 8", "c + 44"], ["c", "u + 2", "u + 46"], ["u", "k + 4", "k + 50"], ["k", "x + 11", "x + 61"], ["x", 19, "80"]], "target_var_name": "t", "target_value": 80, "value_dict": {"x": 19}, "is_reverse": true}}
| 25,570
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = i + 6; n = f + 18; u = k + 4; w = c + 8; c = u + 2; x = 19; i = q + 19; j = w + 20; k = x + 11; f = x + 15; t = j + 16; h = z + 7; q = n + 3. Given that x = 19, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = w + 20 to t, which gives t = w + 36.\n2. Substitute w = c + 8 to t, which gives t = c + 44.\n3. Substitute c = u + 2 to t, which gives t = u + 46.\n4. Substitute u = k + 4 to t, which gives t = k + 50.\n5. Substitute k = x + 11 to t, which gives t = x + 61.\n6. Substitute x = 19 to t, which gives t = 80.\n\nThus, the final answer is t = \\boxed{80}.",
"index": 25570,
"question": "Suppose a collection of variables is related by the following definitions: z = i + 6; n = f + 18; u = k + 4; w = c + 8; c = u + 2; x = 19; i = q + 19; j = w + 20; k = x + 11; f = x + 15; t = j + 16; h = z + 7; q = n + 3. Given that x = 19, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"x": "a + 10", "z": "x + 9", "m": "z + 6", "t": "m + 14", "c": "t + 3", "v": "c + 3", "q": "a + 8", "n": "q + 11", "u": "n + 1", "d": "u + 1", "b": "d + 2", "i": "b + 19", "a": 6}, "premises": {"a": 6}, "target": "v"}, "answer": {"steps": [["c", "t + 3", "t + 6"], ["t", "m + 14", "m + 20"], ["m", "z + 6", "z + 26"], ["z", "x + 9", "x + 35"], ["x", "a + 10", "a + 45"], ["a", 6, "51"]], "target_var_name": "v", "target_value": 51, "value_dict": {"a": 6}, "is_reverse": true}}
| 25,571
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = a + 10; z = x + 9; c = t + 3; n = q + 11; i = b + 19; a = 6; v = c + 3; d = u + 1; b = d + 2; u = n + 1; q = a + 8; t = m + 14; m = z + 6. Given that a = 6, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = t + 3 to v, which gives v = t + 6.\n2. Substitute t = m + 14 to v, which gives v = m + 20.\n3. Substitute m = z + 6 to v, which gives v = z + 26.\n4. Substitute z = x + 9 to v, which gives v = x + 35.\n5. Substitute x = a + 10 to v, which gives v = a + 45.\n6. Substitute a = 6 to v, which gives v = 51.\n\nThus, the final answer is v = \\boxed{51}.",
"index": 25571,
"question": "Suppose a collection of variables is related by the following definitions: x = a + 10; z = x + 9; c = t + 3; n = q + 11; i = b + 19; a = 6; v = c + 3; d = u + 1; b = d + 2; u = n + 1; q = a + 8; t = m + 14; m = z + 6. Given that a = 6, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"j": "f + 12", "b": "j + 4", "o": "b + 10", "n": "o + 17", "a": "n + 14", "g": "a + 19", "p": "f + 2", "l": "p + 11", "u": "l + 10", "e": "u + 8", "z": "e + 3", "d": "z + 5", "f": 11}, "premises": {"f": 11}, "target": "g"}, "answer": {"steps": [["a", "n + 14", "n + 33"], ["n", "o + 17", "o + 50"], ["o", "b + 10", "b + 60"], ["b", "j + 4", "j + 64"], ["j", "f + 12", "f + 76"], ["f", 11, "87"]], "target_var_name": "g", "target_value": 87, "value_dict": {"f": 11}, "is_reverse": true}}
| 25,572
| 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 = f + 12; l = p + 11; z = e + 3; n = o + 17; p = f + 2; d = z + 5; e = u + 8; u = l + 10; b = j + 4; g = a + 19; o = b + 10; f = 11; a = n + 14. If f = 11, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = n + 14 to g, which gives g = n + 33.\n2. Substitute n = o + 17 to g, which gives g = o + 50.\n3. Substitute o = b + 10 to g, which gives g = b + 60.\n4. Substitute b = j + 4 to g, which gives g = j + 64.\n5. Substitute j = f + 12 to g, which gives g = f + 76.\n6. Substitute f = 11 to g, which gives g = 87.\n\nThus, the final answer is g = \\boxed{87}.",
"index": 25572,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = f + 12; l = p + 11; z = e + 3; n = o + 17; p = f + 2; d = z + 5; e = u + 8; u = l + 10; b = j + 4; g = a + 19; o = b + 10; f = 11; a = n + 14. If f = 11, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"c": "m + 7", "x": "c + 4", "u": "x + 14", "p": "u + 1", "l": "p + 2", "r": "l + 14", "w": "m + 6", "e": "w + 11", "i": "e + 3", "a": "i + 17", "z": "a + 4", "y": "z + 13", "m": 12}, "premises": {"m": 12}, "target": "r"}, "answer": {"steps": [["l", "p + 2", "p + 16"], ["p", "u + 1", "u + 17"], ["u", "x + 14", "x + 31"], ["x", "c + 4", "c + 35"], ["c", "m + 7", "m + 42"], ["m", 12, "54"]], "target_var_name": "r", "target_value": 54, "value_dict": {"m": 12}, "is_reverse": true}}
| 25,573
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = m + 7; w = m + 6; z = a + 4; y = z + 13; l = p + 2; x = c + 4; r = l + 14; u = x + 14; i = e + 3; e = w + 11; p = u + 1; a = i + 17; m = 12. Given that m = 12, find 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 l = p + 2 to r, which gives r = p + 16.\n2. Substitute p = u + 1 to r, which gives r = u + 17.\n3. Substitute u = x + 14 to r, which gives r = x + 31.\n4. Substitute x = c + 4 to r, which gives r = c + 35.\n5. Substitute c = m + 7 to r, which gives r = m + 42.\n6. Substitute m = 12 to r, which gives r = 54.\n\nThus, the final answer is r = \\boxed{54}.",
"index": 25573,
"question": "Suppose a collection of variables is related by the following definitions: c = m + 7; w = m + 6; z = a + 4; y = z + 13; l = p + 2; x = c + 4; r = l + 14; u = x + 14; i = e + 3; e = w + 11; p = u + 1; a = i + 17; m = 12. Given that m = 12, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"y": "u + 7", "b": "y + 17", "p": "b + 9", "w": "p + 7", "j": "w + 3", "d": "j + 15", "m": "u + 4", "t": "m + 8", "r": "t + 16", "x": "r + 6", "n": "x + 2", "k": "n + 20", "u": 11}, "premises": {"u": 11}, "target": "d"}, "answer": {"steps": [["j", "w + 3", "w + 18"], ["w", "p + 7", "p + 25"], ["p", "b + 9", "b + 34"], ["b", "y + 17", "y + 51"], ["y", "u + 7", "u + 58"], ["u", 11, "69"]], "target_var_name": "d", "target_value": 69, "value_dict": {"u": 11}, "is_reverse": true}}
| 25,574
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = j + 15; n = x + 2; p = b + 9; u = 11; j = w + 3; x = r + 6; b = y + 17; w = p + 7; t = m + 8; m = u + 4; y = u + 7; k = n + 20; r = t + 16. If u = 11, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = w + 3 to d, which gives d = w + 18.\n2. Substitute w = p + 7 to d, which gives d = p + 25.\n3. Substitute p = b + 9 to d, which gives d = b + 34.\n4. Substitute b = y + 17 to d, which gives d = y + 51.\n5. Substitute y = u + 7 to d, which gives d = u + 58.\n6. Substitute u = 11 to d, which gives d = 69.\n\nThus, the final answer is d = \\boxed{69}.",
"index": 25574,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = j + 15; n = x + 2; p = b + 9; u = 11; j = w + 3; x = r + 6; b = y + 17; w = p + 7; t = m + 8; m = u + 4; y = u + 7; k = n + 20; r = t + 16. If u = 11, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"d": "v + 14", "a": "d + 9", "p": "a + 12", "m": "p + 4", "f": "m + 16", "y": "f + 11", "k": "v + 18", "q": "k + 12", "n": "q + 17", "g": "n + 2", "w": "g + 15", "j": "w + 11", "v": 2}, "premises": {"v": 2}, "target": "y"}, "answer": {"steps": [["f", "m + 16", "m + 27"], ["m", "p + 4", "p + 31"], ["p", "a + 12", "a + 43"], ["a", "d + 9", "d + 52"], ["d", "v + 14", "v + 66"], ["v", 2, "68"]], "target_var_name": "y", "target_value": 68, "value_dict": {"v": 2}, "is_reverse": true}}
| 25,575
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = d + 9; m = p + 4; p = a + 12; y = f + 11; d = v + 14; f = m + 16; g = n + 2; w = g + 15; n = q + 17; j = w + 11; q = k + 12; k = v + 18; v = 2. If v = 2, determine the 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 f = m + 16 to y, which gives y = m + 27.\n2. Substitute m = p + 4 to y, which gives y = p + 31.\n3. Substitute p = a + 12 to y, which gives y = a + 43.\n4. Substitute a = d + 9 to y, which gives y = d + 52.\n5. Substitute d = v + 14 to y, which gives y = v + 66.\n6. Substitute v = 2 to y, which gives y = 68.\n\nThus, the final answer is y = \\boxed{68}.",
"index": 25575,
"question": "Consider a system of variables where each variable is defined as follows: a = d + 9; m = p + 4; p = a + 12; y = f + 11; d = v + 14; f = m + 16; g = n + 2; w = g + 15; n = q + 17; j = w + 11; q = k + 12; k = v + 18; v = 2. If v = 2, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"s": "g + 5", "x": "s + 7", "m": "x + 2", "n": "m + 10", "b": "n + 9", "u": "b + 7", "j": "g + 13", "q": "j + 9", "a": "q + 12", "h": "a + 16", "c": "h + 1", "v": "c + 9", "g": 5}, "premises": {"g": 5}, "target": "u"}, "answer": {"steps": [["b", "n + 9", "n + 16"], ["n", "m + 10", "m + 26"], ["m", "x + 2", "x + 28"], ["x", "s + 7", "s + 35"], ["s", "g + 5", "g + 40"], ["g", 5, "45"]], "target_var_name": "u", "target_value": 45, "value_dict": {"g": 5}, "is_reverse": true}}
| 25,576
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = n + 9; u = b + 7; g = 5; n = m + 10; x = s + 7; v = c + 9; s = g + 5; m = x + 2; c = h + 1; a = q + 12; j = g + 13; h = a + 16; q = j + 9. Given that g = 5, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 45,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = n + 9 to u, which gives u = n + 16.\n2. Substitute n = m + 10 to u, which gives u = m + 26.\n3. Substitute m = x + 2 to u, which gives u = x + 28.\n4. Substitute x = s + 7 to u, which gives u = s + 35.\n5. Substitute s = g + 5 to u, which gives u = g + 40.\n6. Substitute g = 5 to u, which gives u = 45.\n\nThus, the final answer is u = \\boxed{45}.",
"index": 25576,
"question": "Suppose a collection of variables is related by the following definitions: b = n + 9; u = b + 7; g = 5; n = m + 10; x = s + 7; v = c + 9; s = g + 5; m = x + 2; c = h + 1; a = q + 12; j = g + 13; h = a + 16; q = j + 9. Given that g = 5, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"e": "z + 7", "w": "e + 14", "g": "w + 3", "u": "g + 1", "c": "u + 13", "r": "c + 9", "f": "z + 5", "m": "f + 6", "p": "m + 4", "b": "p + 17", "o": "b + 15", "t": "o + 5", "z": 9}, "premises": {"z": 9}, "target": "r"}, "answer": {"steps": [["c", "u + 13", "u + 22"], ["u", "g + 1", "g + 23"], ["g", "w + 3", "w + 26"], ["w", "e + 14", "e + 40"], ["e", "z + 7", "z + 47"], ["z", 9, "56"]], "target_var_name": "r", "target_value": 56, "value_dict": {"z": 9}, "is_reverse": true}}
| 25,577
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = p + 17; r = c + 9; p = m + 4; t = o + 5; e = z + 7; c = u + 13; o = b + 15; g = w + 3; f = z + 5; w = e + 14; z = 9; m = f + 6; u = g + 1. If z = 9, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = u + 13 to r, which gives r = u + 22.\n2. Substitute u = g + 1 to r, which gives r = g + 23.\n3. Substitute g = w + 3 to r, which gives r = w + 26.\n4. Substitute w = e + 14 to r, which gives r = e + 40.\n5. Substitute e = z + 7 to r, which gives r = z + 47.\n6. Substitute z = 9 to r, which gives r = 56.\n\nThus, the final answer is r = \\boxed{56}.",
"index": 25577,
"question": "Consider a system of variables where each variable is defined as follows: b = p + 17; r = c + 9; p = m + 4; t = o + 5; e = z + 7; c = u + 13; o = b + 15; g = w + 3; f = z + 5; w = e + 14; z = 9; m = f + 6; u = g + 1. If z = 9, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"z": "c + 19", "u": "z + 1", "s": "u + 14", "t": "s + 4", "j": "t + 13", "i": "j + 19", "n": "c + 15", "v": "n + 17", "y": "v + 1", "d": "y + 12", "f": "d + 3", "a": "f + 20", "c": 15}, "premises": {"c": 15}, "target": "i"}, "answer": {"steps": [["j", "t + 13", "t + 32"], ["t", "s + 4", "s + 36"], ["s", "u + 14", "u + 50"], ["u", "z + 1", "z + 51"], ["z", "c + 19", "c + 70"], ["c", 15, "85"]], "target_var_name": "i", "target_value": 85, "value_dict": {"c": 15}, "is_reverse": true}}
| 25,578
| 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 = c + 15; v = n + 17; i = j + 19; s = u + 14; c = 15; z = c + 19; a = f + 20; f = d + 3; j = t + 13; u = z + 1; d = y + 12; t = s + 4; y = v + 1. If c = 15, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = t + 13 to i, which gives i = t + 32.\n2. Substitute t = s + 4 to i, which gives i = s + 36.\n3. Substitute s = u + 14 to i, which gives i = u + 50.\n4. Substitute u = z + 1 to i, which gives i = z + 51.\n5. Substitute z = c + 19 to i, which gives i = c + 70.\n6. Substitute c = 15 to i, which gives i = 85.\n\nThus, the final answer is i = \\boxed{85}.",
"index": 25578,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = c + 15; v = n + 17; i = j + 19; s = u + 14; c = 15; z = c + 19; a = f + 20; f = d + 3; j = t + 13; u = z + 1; d = y + 12; t = s + 4; y = v + 1. If c = 15, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"e": "p + 19", "l": "e + 19", "t": "l + 11", "s": "t + 15", "k": "s + 3", "j": "k + 19", "a": "p + 6", "q": "a + 2", "x": "q + 6", "o": "x + 17", "w": "o + 14", "b": "w + 11", "p": 1}, "premises": {"p": 1}, "target": "j"}, "answer": {"steps": [["k", "s + 3", "s + 22"], ["s", "t + 15", "t + 37"], ["t", "l + 11", "l + 48"], ["l", "e + 19", "e + 67"], ["e", "p + 19", "p + 86"], ["p", 1, "87"]], "target_var_name": "j", "target_value": 87, "value_dict": {"p": 1}, "is_reverse": true}}
| 25,579
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = e + 19; s = t + 15; a = p + 6; j = k + 19; q = a + 2; t = l + 11; w = o + 14; e = p + 19; o = x + 17; x = q + 6; b = w + 11; k = s + 3; p = 1. If p = 1, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = s + 3 to j, which gives j = s + 22.\n2. Substitute s = t + 15 to j, which gives j = t + 37.\n3. Substitute t = l + 11 to j, which gives j = l + 48.\n4. Substitute l = e + 19 to j, which gives j = e + 67.\n5. Substitute e = p + 19 to j, which gives j = p + 86.\n6. Substitute p = 1 to j, which gives j = 87.\n\nThus, the final answer is j = \\boxed{87}.",
"index": 25579,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = e + 19; s = t + 15; a = p + 6; j = k + 19; q = a + 2; t = l + 11; w = o + 14; e = p + 19; o = x + 17; x = q + 6; b = w + 11; k = s + 3; p = 1. If p = 1, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"b": "c + 12", "p": "b + 15", "i": "p + 11", "r": "i + 11", "h": "r + 15", "z": "h + 11", "d": "c + 3", "a": "d + 11", "m": "a + 1", "u": "m + 16", "n": "u + 4", "q": "n + 2", "c": 16}, "premises": {"c": 16}, "target": "z"}, "answer": {"steps": [["h", "r + 15", "r + 26"], ["r", "i + 11", "i + 37"], ["i", "p + 11", "p + 48"], ["p", "b + 15", "b + 63"], ["b", "c + 12", "c + 75"], ["c", 16, "91"]], "target_var_name": "z", "target_value": 91, "value_dict": {"c": 16}, "is_reverse": true}}
| 25,580
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = h + 11; q = n + 2; a = d + 11; d = c + 3; r = i + 11; m = a + 1; h = r + 15; p = b + 15; b = c + 12; n = u + 4; u = m + 16; i = p + 11; c = 16. Given that c = 16, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = r + 15 to z, which gives z = r + 26.\n2. Substitute r = i + 11 to z, which gives z = i + 37.\n3. Substitute i = p + 11 to z, which gives z = p + 48.\n4. Substitute p = b + 15 to z, which gives z = b + 63.\n5. Substitute b = c + 12 to z, which gives z = c + 75.\n6. Substitute c = 16 to z, which gives z = 91.\n\nThus, the final answer is z = \\boxed{91}.",
"index": 25580,
"question": "Suppose a collection of variables is related by the following definitions: z = h + 11; q = n + 2; a = d + 11; d = c + 3; r = i + 11; m = a + 1; h = r + 15; p = b + 15; b = c + 12; n = u + 4; u = m + 16; i = p + 11; c = 16. Given that c = 16, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"r": "j + 9", "g": "r + 11", "w": "g + 15", "d": "w + 17", "b": "d + 13", "h": "b + 5", "v": "j + 1", "p": "v + 12", "t": "p + 8", "f": "t + 18", "m": "f + 13", "o": "m + 14", "j": 3}, "premises": {"j": 3}, "target": "h"}, "answer": {"steps": [["b", "d + 13", "d + 18"], ["d", "w + 17", "w + 35"], ["w", "g + 15", "g + 50"], ["g", "r + 11", "r + 61"], ["r", "j + 9", "j + 70"], ["j", 3, "73"]], "target_var_name": "h", "target_value": 73, "value_dict": {"j": 3}, "is_reverse": true}}
| 25,581
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = f + 13; t = p + 8; o = m + 14; r = j + 9; d = w + 17; v = j + 1; p = v + 12; j = 3; g = r + 11; h = b + 5; w = g + 15; b = d + 13; f = t + 18. If j = 3, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = d + 13 to h, which gives h = d + 18.\n2. Substitute d = w + 17 to h, which gives h = w + 35.\n3. Substitute w = g + 15 to h, which gives h = g + 50.\n4. Substitute g = r + 11 to h, which gives h = r + 61.\n5. Substitute r = j + 9 to h, which gives h = j + 70.\n6. Substitute j = 3 to h, which gives h = 73.\n\nThus, the final answer is h = \\boxed{73}.",
"index": 25581,
"question": "Consider a system of variables where each variable is defined as follows: m = f + 13; t = p + 8; o = m + 14; r = j + 9; d = w + 17; v = j + 1; p = v + 12; j = 3; g = r + 11; h = b + 5; w = g + 15; b = d + 13; f = t + 18. If j = 3, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"q": "h + 6", "u": "q + 5", "v": "u + 7", "s": "v + 5", "m": "s + 14", "e": "m + 15", "g": "h + 9", "k": "g + 1", "p": "k + 17", "b": "p + 2", "t": "b + 13", "y": "t + 13", "h": 4}, "premises": {"h": 4}, "target": "e"}, "answer": {"steps": [["m", "s + 14", "s + 29"], ["s", "v + 5", "v + 34"], ["v", "u + 7", "u + 41"], ["u", "q + 5", "q + 46"], ["q", "h + 6", "h + 52"], ["h", 4, "56"]], "target_var_name": "e", "target_value": 56, "value_dict": {"h": 4}, "is_reverse": true}}
| 25,582
| 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 = s + 14; e = m + 15; k = g + 1; v = u + 7; s = v + 5; q = h + 6; y = t + 13; g = h + 9; p = k + 17; u = q + 5; h = 4; t = b + 13; b = p + 2. If h = 4, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = s + 14 to e, which gives e = s + 29.\n2. Substitute s = v + 5 to e, which gives e = v + 34.\n3. Substitute v = u + 7 to e, which gives e = u + 41.\n4. Substitute u = q + 5 to e, which gives e = q + 46.\n5. Substitute q = h + 6 to e, which gives e = h + 52.\n6. Substitute h = 4 to e, which gives e = 56.\n\nThus, the final answer is e = \\boxed{56}.",
"index": 25582,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = s + 14; e = m + 15; k = g + 1; v = u + 7; s = v + 5; q = h + 6; y = t + 13; g = h + 9; p = k + 17; u = q + 5; h = 4; t = b + 13; b = p + 2. If h = 4, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"j": "r + 19", "o": "j + 15", "s": "o + 4", "y": "s + 2", "m": "y + 3", "f": "m + 13", "c": "r + 9", "e": "c + 18", "p": "e + 12", "t": "p + 8", "x": "t + 7", "a": "x + 16", "r": 11}, "premises": {"r": 11}, "target": "f"}, "answer": {"steps": [["m", "y + 3", "y + 16"], ["y", "s + 2", "s + 18"], ["s", "o + 4", "o + 22"], ["o", "j + 15", "j + 37"], ["j", "r + 19", "r + 56"], ["r", 11, "67"]], "target_var_name": "f", "target_value": 67, "value_dict": {"r": 11}, "is_reverse": true}}
| 25,583
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = j + 15; m = y + 3; t = p + 8; r = 11; j = r + 19; c = r + 9; x = t + 7; s = o + 4; e = c + 18; f = m + 13; y = s + 2; a = x + 16; p = e + 12. If r = 11, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = y + 3 to f, which gives f = y + 16.\n2. Substitute y = s + 2 to f, which gives f = s + 18.\n3. Substitute s = o + 4 to f, which gives f = o + 22.\n4. Substitute o = j + 15 to f, which gives f = j + 37.\n5. Substitute j = r + 19 to f, which gives f = r + 56.\n6. Substitute r = 11 to f, which gives f = 67.\n\nThus, the final answer is f = \\boxed{67}.",
"index": 25583,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = j + 15; m = y + 3; t = p + 8; r = 11; j = r + 19; c = r + 9; x = t + 7; s = o + 4; e = c + 18; f = m + 13; y = s + 2; a = x + 16; p = e + 12. If r = 11, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"v": "n + 1", "j": "v + 15", "m": "j + 20", "r": "m + 14", "o": "r + 12", "l": "o + 4", "k": "n + 7", "f": "k + 8", "h": "f + 6", "t": "h + 6", "u": "t + 6", "e": "u + 11", "n": 17}, "premises": {"n": 17}, "target": "l"}, "answer": {"steps": [["o", "r + 12", "r + 16"], ["r", "m + 14", "m + 30"], ["m", "j + 20", "j + 50"], ["j", "v + 15", "v + 65"], ["v", "n + 1", "n + 66"], ["n", 17, "83"]], "target_var_name": "l", "target_value": 83, "value_dict": {"n": 17}, "is_reverse": true}}
| 25,584
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = r + 12; u = t + 6; m = j + 20; r = m + 14; j = v + 15; t = h + 6; e = u + 11; n = 17; f = k + 8; k = n + 7; l = o + 4; v = n + 1; h = f + 6. If n = 17, 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 o = r + 12 to l, which gives l = r + 16.\n2. Substitute r = m + 14 to l, which gives l = m + 30.\n3. Substitute m = j + 20 to l, which gives l = j + 50.\n4. Substitute j = v + 15 to l, which gives l = v + 65.\n5. Substitute v = n + 1 to l, which gives l = n + 66.\n6. Substitute n = 17 to l, which gives l = 83.\n\nThus, the final answer is l = \\boxed{83}.",
"index": 25584,
"question": "Consider a system of variables where each variable is defined as follows: o = r + 12; u = t + 6; m = j + 20; r = m + 14; j = v + 15; t = h + 6; e = u + 11; n = 17; f = k + 8; k = n + 7; l = o + 4; v = n + 1; h = f + 6. If n = 17, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"v": "z + 1", "g": "v + 9", "j": "g + 6", "y": "j + 12", "s": "y + 17", "i": "s + 14", "e": "z + 17", "b": "e + 13", "c": "b + 5", "k": "c + 2", "a": "k + 16", "t": "a + 6", "z": 20}, "premises": {"z": 20}, "target": "i"}, "answer": {"steps": [["s", "y + 17", "y + 31"], ["y", "j + 12", "j + 43"], ["j", "g + 6", "g + 49"], ["g", "v + 9", "v + 58"], ["v", "z + 1", "z + 59"], ["z", 20, "79"]], "target_var_name": "i", "target_value": 79, "value_dict": {"z": 20}, "is_reverse": true}}
| 25,585
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = z + 1; k = c + 2; s = y + 17; a = k + 16; e = z + 17; j = g + 6; y = j + 12; t = a + 6; i = s + 14; c = b + 5; b = e + 13; z = 20; g = v + 9. If z = 20, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = y + 17 to i, which gives i = y + 31.\n2. Substitute y = j + 12 to i, which gives i = j + 43.\n3. Substitute j = g + 6 to i, which gives i = g + 49.\n4. Substitute g = v + 9 to i, which gives i = v + 58.\n5. Substitute v = z + 1 to i, which gives i = z + 59.\n6. Substitute z = 20 to i, which gives i = 79.\n\nThus, the final answer is i = \\boxed{79}.",
"index": 25585,
"question": "Consider a system of variables where each variable is defined as follows: v = z + 1; k = c + 2; s = y + 17; a = k + 16; e = z + 17; j = g + 6; y = j + 12; t = a + 6; i = s + 14; c = b + 5; b = e + 13; z = 20; g = v + 9. If z = 20, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"p": "q + 6", "s": "p + 8", "z": "s + 15", "o": "z + 15", "t": "o + 18", "b": "t + 16", "k": "q + 10", "a": "k + 12", "w": "a + 2", "f": "w + 8", "j": "f + 16", "m": "j + 8", "q": 12}, "premises": {"q": 12}, "target": "b"}, "answer": {"steps": [["t", "o + 18", "o + 34"], ["o", "z + 15", "z + 49"], ["z", "s + 15", "s + 64"], ["s", "p + 8", "p + 72"], ["p", "q + 6", "q + 78"], ["q", 12, "90"]], "target_var_name": "b", "target_value": 90, "value_dict": {"q": 12}, "is_reverse": true}}
| 25,586
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = s + 15; a = k + 12; s = p + 8; f = w + 8; b = t + 16; j = f + 16; w = a + 2; m = j + 8; p = q + 6; q = 12; o = z + 15; t = o + 18; k = q + 10. If q = 12, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = o + 18 to b, which gives b = o + 34.\n2. Substitute o = z + 15 to b, which gives b = z + 49.\n3. Substitute z = s + 15 to b, which gives b = s + 64.\n4. Substitute s = p + 8 to b, which gives b = p + 72.\n5. Substitute p = q + 6 to b, which gives b = q + 78.\n6. Substitute q = 12 to b, which gives b = 90.\n\nThus, the final answer is b = \\boxed{90}.",
"index": 25586,
"question": "Consider a system of variables where each variable is defined as follows: z = s + 15; a = k + 12; s = p + 8; f = w + 8; b = t + 16; j = f + 16; w = a + 2; m = j + 8; p = q + 6; q = 12; o = z + 15; t = o + 18; k = q + 10. If q = 12, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"n": "l + 1", "q": "n + 7", "t": "q + 17", "x": "t + 20", "i": "x + 10", "u": "i + 16", "m": "l + 5", "v": "m + 14", "p": "v + 17", "s": "p + 8", "j": "s + 6", "d": "j + 15", "l": 13}, "premises": {"l": 13}, "target": "u"}, "answer": {"steps": [["i", "x + 10", "x + 26"], ["x", "t + 20", "t + 46"], ["t", "q + 17", "q + 63"], ["q", "n + 7", "n + 70"], ["n", "l + 1", "l + 71"], ["l", 13, "84"]], "target_var_name": "u", "target_value": 84, "value_dict": {"l": 13}, "is_reverse": true}}
| 25,587
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = q + 17; i = x + 10; v = m + 14; p = v + 17; n = l + 1; j = s + 6; s = p + 8; d = j + 15; m = l + 5; u = i + 16; x = t + 20; l = 13; q = n + 7. If l = 13, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = x + 10 to u, which gives u = x + 26.\n2. Substitute x = t + 20 to u, which gives u = t + 46.\n3. Substitute t = q + 17 to u, which gives u = q + 63.\n4. Substitute q = n + 7 to u, which gives u = n + 70.\n5. Substitute n = l + 1 to u, which gives u = l + 71.\n6. Substitute l = 13 to u, which gives u = 84.\n\nThus, the final answer is u = \\boxed{84}.",
"index": 25587,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = q + 17; i = x + 10; v = m + 14; p = v + 17; n = l + 1; j = s + 6; s = p + 8; d = j + 15; m = l + 5; u = i + 16; x = t + 20; l = 13; q = n + 7. If l = 13, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"a": "m + 4", "h": "a + 10", "l": "h + 17", "d": "l + 20", "v": "d + 20", "u": "v + 14", "x": "m + 20", "n": "x + 15", "q": "n + 7", "e": "q + 7", "o": "e + 5", "y": "o + 5", "m": 20}, "premises": {"m": 20}, "target": "u"}, "answer": {"steps": [["v", "d + 20", "d + 34"], ["d", "l + 20", "l + 54"], ["l", "h + 17", "h + 71"], ["h", "a + 10", "a + 81"], ["a", "m + 4", "m + 85"], ["m", 20, "105"]], "target_var_name": "u", "target_value": 105, "value_dict": {"m": 20}, "is_reverse": true}}
| 25,588
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = v + 14; q = n + 7; y = o + 5; x = m + 20; h = a + 10; o = e + 5; d = l + 20; v = d + 20; m = 20; l = h + 17; n = x + 15; e = q + 7; a = m + 4. If m = 20, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 105,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = d + 20 to u, which gives u = d + 34.\n2. Substitute d = l + 20 to u, which gives u = l + 54.\n3. Substitute l = h + 17 to u, which gives u = h + 71.\n4. Substitute h = a + 10 to u, which gives u = a + 81.\n5. Substitute a = m + 4 to u, which gives u = m + 85.\n6. Substitute m = 20 to u, which gives u = 105.\n\nThus, the final answer is u = \\boxed{105}.",
"index": 25588,
"question": "Consider a system of variables where each variable is defined as follows: u = v + 14; q = n + 7; y = o + 5; x = m + 20; h = a + 10; o = e + 5; d = l + 20; v = d + 20; m = 20; l = h + 17; n = x + 15; e = q + 7; a = m + 4. If m = 20, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"z": "g + 16", "q": "z + 16", "n": "q + 7", "t": "n + 13", "c": "t + 9", "o": "c + 17", "x": "g + 11", "i": "x + 19", "m": "i + 18", "p": "m + 18", "d": "p + 3", "v": "d + 18", "g": 8}, "premises": {"g": 8}, "target": "o"}, "answer": {"steps": [["c", "t + 9", "t + 26"], ["t", "n + 13", "n + 39"], ["n", "q + 7", "q + 46"], ["q", "z + 16", "z + 62"], ["z", "g + 16", "g + 78"], ["g", 8, "86"]], "target_var_name": "o", "target_value": 86, "value_dict": {"g": 8}, "is_reverse": true}}
| 25,589
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = n + 13; x = g + 11; n = q + 7; o = c + 17; c = t + 9; q = z + 16; v = d + 18; d = p + 3; m = i + 18; z = g + 16; p = m + 18; g = 8; i = x + 19. If g = 8, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = t + 9 to o, which gives o = t + 26.\n2. Substitute t = n + 13 to o, which gives o = n + 39.\n3. Substitute n = q + 7 to o, which gives o = q + 46.\n4. Substitute q = z + 16 to o, which gives o = z + 62.\n5. Substitute z = g + 16 to o, which gives o = g + 78.\n6. Substitute g = 8 to o, which gives o = 86.\n\nThus, the final answer is o = \\boxed{86}.",
"index": 25589,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = n + 13; x = g + 11; n = q + 7; o = c + 17; c = t + 9; q = z + 16; v = d + 18; d = p + 3; m = i + 18; z = g + 16; p = m + 18; g = 8; i = x + 19. If g = 8, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"c": "p + 13", "h": "c + 7", "y": "h + 9", "w": "y + 16", "b": "w + 8", "e": "b + 13", "g": "p + 14", "f": "g + 12", "x": "f + 12", "o": "x + 15", "q": "o + 16", "m": "q + 1", "p": 8}, "premises": {"p": 8}, "target": "e"}, "answer": {"steps": [["b", "w + 8", "w + 21"], ["w", "y + 16", "y + 37"], ["y", "h + 9", "h + 46"], ["h", "c + 7", "c + 53"], ["c", "p + 13", "p + 66"], ["p", 8, "74"]], "target_var_name": "e", "target_value": 74, "value_dict": {"p": 8}, "is_reverse": true}}
| 25,590
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = q + 1; y = h + 9; x = f + 12; e = b + 13; w = y + 16; q = o + 16; f = g + 12; c = p + 13; b = w + 8; p = 8; g = p + 14; h = c + 7; o = x + 15. If p = 8, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = w + 8 to e, which gives e = w + 21.\n2. Substitute w = y + 16 to e, which gives e = y + 37.\n3. Substitute y = h + 9 to e, which gives e = h + 46.\n4. Substitute h = c + 7 to e, which gives e = c + 53.\n5. Substitute c = p + 13 to e, which gives e = p + 66.\n6. Substitute p = 8 to e, which gives e = 74.\n\nThus, the final answer is e = \\boxed{74}.",
"index": 25590,
"question": "Consider a system of variables where each variable is defined as follows: m = q + 1; y = h + 9; x = f + 12; e = b + 13; w = y + 16; q = o + 16; f = g + 12; c = p + 13; b = w + 8; p = 8; g = p + 14; h = c + 7; o = x + 15. If p = 8, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"l": "h + 2", "f": "l + 18", "j": "f + 17", "o": "j + 13", "d": "o + 15", "c": "d + 7", "s": "h + 16", "b": "s + 7", "r": "b + 3", "p": "r + 6", "a": "p + 11", "k": "a + 9", "h": 3}, "premises": {"h": 3}, "target": "c"}, "answer": {"steps": [["d", "o + 15", "o + 22"], ["o", "j + 13", "j + 35"], ["j", "f + 17", "f + 52"], ["f", "l + 18", "l + 70"], ["l", "h + 2", "h + 72"], ["h", 3, "75"]], "target_var_name": "c", "target_value": 75, "value_dict": {"h": 3}, "is_reverse": true}}
| 25,591
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = l + 18; l = h + 2; o = j + 13; p = r + 6; a = p + 11; r = b + 3; s = h + 16; b = s + 7; d = o + 15; j = f + 17; h = 3; k = a + 9; c = d + 7. Given that h = 3, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = o + 15 to c, which gives c = o + 22.\n2. Substitute o = j + 13 to c, which gives c = j + 35.\n3. Substitute j = f + 17 to c, which gives c = f + 52.\n4. Substitute f = l + 18 to c, which gives c = l + 70.\n5. Substitute l = h + 2 to c, which gives c = h + 72.\n6. Substitute h = 3 to c, which gives c = 75.\n\nThus, the final answer is c = \\boxed{75}.",
"index": 25591,
"question": "Suppose a collection of variables is related by the following definitions: f = l + 18; l = h + 2; o = j + 13; p = r + 6; a = p + 11; r = b + 3; s = h + 16; b = s + 7; d = o + 15; j = f + 17; h = 3; k = a + 9; c = d + 7. Given that h = 3, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"v": "c + 12", "o": "v + 5", "n": "o + 6", "i": "n + 20", "l": "i + 3", "e": "l + 4", "h": "c + 3", "f": "h + 15", "t": "f + 18", "j": "t + 3", "g": "j + 4", "s": "g + 17", "c": 20}, "premises": {"c": 20}, "target": "e"}, "answer": {"steps": [["l", "i + 3", "i + 7"], ["i", "n + 20", "n + 27"], ["n", "o + 6", "o + 33"], ["o", "v + 5", "v + 38"], ["v", "c + 12", "c + 50"], ["c", 20, "70"]], "target_var_name": "e", "target_value": 70, "value_dict": {"c": 20}, "is_reverse": true}}
| 25,592
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = 20; t = f + 18; n = o + 6; g = j + 4; i = n + 20; h = c + 3; l = i + 3; f = h + 15; j = t + 3; s = g + 17; e = l + 4; v = c + 12; o = v + 5. If c = 20, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = i + 3 to e, which gives e = i + 7.\n2. Substitute i = n + 20 to e, which gives e = n + 27.\n3. Substitute n = o + 6 to e, which gives e = o + 33.\n4. Substitute o = v + 5 to e, which gives e = v + 38.\n5. Substitute v = c + 12 to e, which gives e = c + 50.\n6. Substitute c = 20 to e, which gives e = 70.\n\nThus, the final answer is e = \\boxed{70}.",
"index": 25592,
"question": "Consider a system of variables where each variable is defined as follows: c = 20; t = f + 18; n = o + 6; g = j + 4; i = n + 20; h = c + 3; l = i + 3; f = h + 15; j = t + 3; s = g + 17; e = l + 4; v = c + 12; o = v + 5. If c = 20, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"w": "n + 1", "z": "w + 16", "v": "z + 13", "p": "v + 3", "q": "p + 13", "d": "q + 11", "h": "n + 2", "o": "h + 13", "j": "o + 18", "l": "j + 7", "u": "l + 19", "g": "u + 7", "n": 12}, "premises": {"n": 12}, "target": "d"}, "answer": {"steps": [["q", "p + 13", "p + 24"], ["p", "v + 3", "v + 27"], ["v", "z + 13", "z + 40"], ["z", "w + 16", "w + 56"], ["w", "n + 1", "n + 57"], ["n", 12, "69"]], "target_var_name": "d", "target_value": 69, "value_dict": {"n": 12}, "is_reverse": true}}
| 25,593
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = l + 19; n = 12; w = n + 1; o = h + 13; j = o + 18; d = q + 11; z = w + 16; p = v + 3; v = z + 13; q = p + 13; g = u + 7; l = j + 7; h = n + 2. Given that n = 12, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = p + 13 to d, which gives d = p + 24.\n2. Substitute p = v + 3 to d, which gives d = v + 27.\n3. Substitute v = z + 13 to d, which gives d = z + 40.\n4. Substitute z = w + 16 to d, which gives d = w + 56.\n5. Substitute w = n + 1 to d, which gives d = n + 57.\n6. Substitute n = 12 to d, which gives d = 69.\n\nThus, the final answer is d = \\boxed{69}.",
"index": 25593,
"question": "Suppose a collection of variables is related by the following definitions: u = l + 19; n = 12; w = n + 1; o = h + 13; j = o + 18; d = q + 11; z = w + 16; p = v + 3; v = z + 13; q = p + 13; g = u + 7; l = j + 7; h = n + 2. Given that n = 12, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"w": "d + 3", "x": "w + 2", "g": "x + 14", "b": "g + 18", "o": "b + 7", "f": "o + 5", "a": "d + 8", "e": "a + 16", "y": "e + 17", "v": "y + 18", "q": "v + 1", "k": "q + 1", "d": 6}, "premises": {"d": 6}, "target": "f"}, "answer": {"steps": [["o", "b + 7", "b + 12"], ["b", "g + 18", "g + 30"], ["g", "x + 14", "x + 44"], ["x", "w + 2", "w + 46"], ["w", "d + 3", "d + 49"], ["d", 6, "55"]], "target_var_name": "f", "target_value": 55, "value_dict": {"d": 6}, "is_reverse": true}}
| 25,594
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = v + 1; b = g + 18; a = d + 8; d = 6; v = y + 18; e = a + 16; k = q + 1; f = o + 5; g = x + 14; w = d + 3; o = b + 7; y = e + 17; x = w + 2. Given that d = 6, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = b + 7 to f, which gives f = b + 12.\n2. Substitute b = g + 18 to f, which gives f = g + 30.\n3. Substitute g = x + 14 to f, which gives f = x + 44.\n4. Substitute x = w + 2 to f, which gives f = w + 46.\n5. Substitute w = d + 3 to f, which gives f = d + 49.\n6. Substitute d = 6 to f, which gives f = 55.\n\nThus, the final answer is f = \\boxed{55}.",
"index": 25594,
"question": "Suppose a collection of variables is related by the following definitions: q = v + 1; b = g + 18; a = d + 8; d = 6; v = y + 18; e = a + 16; k = q + 1; f = o + 5; g = x + 14; w = d + 3; o = b + 7; y = e + 17; x = w + 2. Given that d = 6, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"m": "e + 1", "i": "m + 10", "g": "i + 16", "c": "g + 1", "w": "c + 12", "a": "w + 2", "l": "e + 4", "q": "l + 8", "t": "q + 11", "r": "t + 5", "n": "r + 7", "v": "n + 20", "e": 3}, "premises": {"e": 3}, "target": "a"}, "answer": {"steps": [["w", "c + 12", "c + 14"], ["c", "g + 1", "g + 15"], ["g", "i + 16", "i + 31"], ["i", "m + 10", "m + 41"], ["m", "e + 1", "e + 42"], ["e", 3, "45"]], "target_var_name": "a", "target_value": 45, "value_dict": {"e": 3}, "is_reverse": true}}
| 25,595
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = l + 8; g = i + 16; a = w + 2; l = e + 4; t = q + 11; w = c + 12; m = e + 1; r = t + 5; e = 3; n = r + 7; c = g + 1; v = n + 20; i = m + 10. If e = 3, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 45,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = c + 12 to a, which gives a = c + 14.\n2. Substitute c = g + 1 to a, which gives a = g + 15.\n3. Substitute g = i + 16 to a, which gives a = i + 31.\n4. Substitute i = m + 10 to a, which gives a = m + 41.\n5. Substitute m = e + 1 to a, which gives a = e + 42.\n6. Substitute e = 3 to a, which gives a = 45.\n\nThus, the final answer is a = \\boxed{45}.",
"index": 25595,
"question": "Consider a system of variables where each variable is defined as follows: q = l + 8; g = i + 16; a = w + 2; l = e + 4; t = q + 11; w = c + 12; m = e + 1; r = t + 5; e = 3; n = r + 7; c = g + 1; v = n + 20; i = m + 10. If e = 3, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"u": "w + 8", "g": "u + 10", "z": "g + 12", "k": "z + 4", "r": "k + 11", "f": "r + 1", "i": "w + 18", "a": "i + 12", "o": "a + 5", "j": "o + 13", "t": "j + 2", "p": "t + 8", "w": 13}, "premises": {"w": 13}, "target": "f"}, "answer": {"steps": [["r", "k + 11", "k + 12"], ["k", "z + 4", "z + 16"], ["z", "g + 12", "g + 28"], ["g", "u + 10", "u + 38"], ["u", "w + 8", "w + 46"], ["w", 13, "59"]], "target_var_name": "f", "target_value": 59, "value_dict": {"w": 13}, "is_reverse": true}}
| 25,596
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = a + 5; u = w + 8; f = r + 1; i = w + 18; p = t + 8; z = g + 12; k = z + 4; j = o + 13; w = 13; r = k + 11; t = j + 2; g = u + 10; a = i + 12. If w = 13, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = k + 11 to f, which gives f = k + 12.\n2. Substitute k = z + 4 to f, which gives f = z + 16.\n3. Substitute z = g + 12 to f, which gives f = g + 28.\n4. Substitute g = u + 10 to f, which gives f = u + 38.\n5. Substitute u = w + 8 to f, which gives f = w + 46.\n6. Substitute w = 13 to f, which gives f = 59.\n\nThus, the final answer is f = \\boxed{59}.",
"index": 25596,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = a + 5; u = w + 8; f = r + 1; i = w + 18; p = t + 8; z = g + 12; k = z + 4; j = o + 13; w = 13; r = k + 11; t = j + 2; g = u + 10; a = i + 12. If w = 13, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"i": "u + 8", "a": "i + 13", "r": "a + 3", "k": "r + 12", "h": "k + 10", "l": "h + 9", "j": "u + 12", "g": "j + 2", "o": "g + 9", "v": "o + 9", "t": "v + 19", "z": "t + 8", "u": 17}, "premises": {"u": 17}, "target": "l"}, "answer": {"steps": [["h", "k + 10", "k + 19"], ["k", "r + 12", "r + 31"], ["r", "a + 3", "a + 34"], ["a", "i + 13", "i + 47"], ["i", "u + 8", "u + 55"], ["u", 17, "72"]], "target_var_name": "l", "target_value": 72, "value_dict": {"u": 17}, "is_reverse": true}}
| 25,597
| 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 = i + 13; o = g + 9; v = o + 9; z = t + 8; h = k + 10; k = r + 12; t = v + 19; l = h + 9; i = u + 8; u = 17; r = a + 3; j = u + 12; g = j + 2. If u = 17, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = k + 10 to l, which gives l = k + 19.\n2. Substitute k = r + 12 to l, which gives l = r + 31.\n3. Substitute r = a + 3 to l, which gives l = a + 34.\n4. Substitute a = i + 13 to l, which gives l = i + 47.\n5. Substitute i = u + 8 to l, which gives l = u + 55.\n6. Substitute u = 17 to l, which gives l = 72.\n\nThus, the final answer is l = \\boxed{72}.",
"index": 25597,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = i + 13; o = g + 9; v = o + 9; z = t + 8; h = k + 10; k = r + 12; t = v + 19; l = h + 9; i = u + 8; u = 17; r = a + 3; j = u + 12; g = j + 2. If u = 17, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"d": "o + 20", "t": "d + 5", "a": "t + 1", "e": "a + 7", "p": "e + 17", "g": "p + 15", "z": "o + 20", "u": "z + 10", "w": "u + 18", "j": "w + 5", "h": "j + 13", "f": "h + 4", "o": 9}, "premises": {"o": 9}, "target": "g"}, "answer": {"steps": [["p", "e + 17", "e + 32"], ["e", "a + 7", "a + 39"], ["a", "t + 1", "t + 40"], ["t", "d + 5", "d + 45"], ["d", "o + 20", "o + 65"], ["o", 9, "74"]], "target_var_name": "g", "target_value": 74, "value_dict": {"o": 9}, "is_reverse": true}}
| 25,598
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = w + 5; g = p + 15; a = t + 1; f = h + 4; w = u + 18; h = j + 13; p = e + 17; u = z + 10; e = a + 7; o = 9; z = o + 20; d = o + 20; t = d + 5. Given that o = 9, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = e + 17 to g, which gives g = e + 32.\n2. Substitute e = a + 7 to g, which gives g = a + 39.\n3. Substitute a = t + 1 to g, which gives g = t + 40.\n4. Substitute t = d + 5 to g, which gives g = d + 45.\n5. Substitute d = o + 20 to g, which gives g = o + 65.\n6. Substitute o = 9 to g, which gives g = 74.\n\nThus, the final answer is g = \\boxed{74}.",
"index": 25598,
"question": "Suppose a collection of variables is related by the following definitions: j = w + 5; g = p + 15; a = t + 1; f = h + 4; w = u + 18; h = j + 13; p = e + 17; u = z + 10; e = a + 7; o = 9; z = o + 20; d = o + 20; t = d + 5. Given that o = 9, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"p": "k + 10", "n": "p + 6", "v": "n + 17", "r": "v + 12", "c": "r + 7", "f": "c + 18", "b": "k + 9", "t": "b + 1", "e": "t + 5", "s": "e + 16", "u": "s + 9", "a": "u + 5", "k": 10}, "premises": {"k": 10}, "target": "f"}, "answer": {"steps": [["c", "r + 7", "r + 25"], ["r", "v + 12", "v + 37"], ["v", "n + 17", "n + 54"], ["n", "p + 6", "p + 60"], ["p", "k + 10", "k + 70"], ["k", 10, "80"]], "target_var_name": "f", "target_value": 80, "value_dict": {"k": 10}, "is_reverse": true}}
| 25,599
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = s + 9; f = c + 18; t = b + 1; b = k + 9; r = v + 12; e = t + 5; a = u + 5; s = e + 16; c = r + 7; n = p + 6; p = k + 10; k = 10; v = n + 17. If k = 10, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = r + 7 to f, which gives f = r + 25.\n2. Substitute r = v + 12 to f, which gives f = v + 37.\n3. Substitute v = n + 17 to f, which gives f = n + 54.\n4. Substitute n = p + 6 to f, which gives f = p + 60.\n5. Substitute p = k + 10 to f, which gives f = k + 70.\n6. Substitute k = 10 to f, which gives f = 80.\n\nThus, the final answer is f = \\boxed{80}.",
"index": 25599,
"question": "Consider a system of variables where each variable is defined as follows: u = s + 9; f = c + 18; t = b + 1; b = k + 9; r = v + 12; e = t + 5; a = u + 5; s = e + 16; c = r + 7; n = p + 6; p = k + 10; k = 10; v = n + 17. If k = 10, determine the value of f.",
"split": "train"
}
|
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