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25.6k
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stringclasses 1
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listlengths 1
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dict | extra_info
dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"n": "w + 11", "h": "n + 15", "r": "h + 16", "u": "r + 10", "c": "u + 1", "p": "c + 12", "f": "w + 17", "j": "f + 1", "o": "j + 6", "k": "o + 12", "t": "k + 19", "z": "t + 18", "w": 10}, "premises": {"w": 10}, "target": "p"}, "answer": {"steps": [["c", "u + 1", "u + 13"], ["u", "r + 10", "r + 23"], ["r", "h + 16", "h + 39"], ["h", "n + 15", "n + 54"], ["n", "w + 11", "w + 65"], ["w", 10, "75"]], "target_var_name": "p", "target_value": 75, "value_dict": {"w": 10}, "is_reverse": true}}
| 4,400
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = c + 12; z = t + 18; r = h + 16; u = r + 10; j = f + 1; w = 10; n = w + 11; k = o + 12; h = n + 15; f = w + 17; o = j + 6; c = u + 1; t = k + 19. Given that w = 10, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = u + 1 to p, which gives p = u + 13.\n2. Substitute u = r + 10 to p, which gives p = r + 23.\n3. Substitute r = h + 16 to p, which gives p = h + 39.\n4. Substitute h = n + 15 to p, which gives p = n + 54.\n5. Substitute n = w + 11 to p, which gives p = w + 65.\n6. Substitute w = 10 to p, which gives p = 75.\n\nThus, the final answer is p = \\boxed{75}.",
"index": 4400,
"question": "Suppose a collection of variables is related by the following definitions: p = c + 12; z = t + 18; r = h + 16; u = r + 10; j = f + 1; w = 10; n = w + 11; k = o + 12; h = n + 15; f = w + 17; o = j + 6; c = u + 1; t = k + 19. Given that w = 10, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"u": "f + 10", "b": "u + 19", "k": "b + 13", "i": "k + 18", "m": "i + 5", "c": "m + 2", "j": "f + 4", "o": "j + 1", "g": "o + 1", "y": "g + 1", "l": "y + 3", "n": "l + 16", "f": 4}, "premises": {"f": 4}, "target": "c"}, "answer": {"steps": [["m", "i + 5", "i + 7"], ["i", "k + 18", "k + 25"], ["k", "b + 13", "b + 38"], ["b", "u + 19", "u + 57"], ["u", "f + 10", "f + 67"], ["f", 4, "71"]], "target_var_name": "c", "target_value": 71, "value_dict": {"f": 4}, "is_reverse": true}}
| 4,401
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = f + 4; c = m + 2; i = k + 18; m = i + 5; n = l + 16; o = j + 1; l = y + 3; u = f + 10; g = o + 1; f = 4; k = b + 13; b = u + 19; y = g + 1. If f = 4, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = i + 5 to c, which gives c = i + 7.\n2. Substitute i = k + 18 to c, which gives c = k + 25.\n3. Substitute k = b + 13 to c, which gives c = b + 38.\n4. Substitute b = u + 19 to c, which gives c = u + 57.\n5. Substitute u = f + 10 to c, which gives c = f + 67.\n6. Substitute f = 4 to c, which gives c = 71.\n\nThus, the final answer is c = \\boxed{71}.",
"index": 4401,
"question": "Consider a system of variables where each variable is defined as follows: j = f + 4; c = m + 2; i = k + 18; m = i + 5; n = l + 16; o = j + 1; l = y + 3; u = f + 10; g = o + 1; f = 4; k = b + 13; b = u + 19; y = g + 1. If f = 4, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"g": "n + 1", "q": "g + 11", "m": "q + 7", "p": "m + 17", "h": "p + 18", "o": "h + 16", "i": "n + 9", "b": "i + 5", "f": "b + 4", "a": "f + 2", "y": "a + 19", "j": "y + 6", "n": 15}, "premises": {"n": 15}, "target": "o"}, "answer": {"steps": [["h", "p + 18", "p + 34"], ["p", "m + 17", "m + 51"], ["m", "q + 7", "q + 58"], ["q", "g + 11", "g + 69"], ["g", "n + 1", "n + 70"], ["n", 15, "85"]], "target_var_name": "o", "target_value": 85, "value_dict": {"n": 15}, "is_reverse": true}}
| 4,402
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = h + 16; h = p + 18; y = a + 19; n = 15; g = n + 1; q = g + 11; i = n + 9; a = f + 2; p = m + 17; j = y + 6; m = q + 7; f = b + 4; b = i + 5. Given that n = 15, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = p + 18 to o, which gives o = p + 34.\n2. Substitute p = m + 17 to o, which gives o = m + 51.\n3. Substitute m = q + 7 to o, which gives o = q + 58.\n4. Substitute q = g + 11 to o, which gives o = g + 69.\n5. Substitute g = n + 1 to o, which gives o = n + 70.\n6. Substitute n = 15 to o, which gives o = 85.\n\nThus, the final answer is o = \\boxed{85}.",
"index": 4402,
"question": "Suppose a collection of variables is related by the following definitions: o = h + 16; h = p + 18; y = a + 19; n = 15; g = n + 1; q = g + 11; i = n + 9; a = f + 2; p = m + 17; j = y + 6; m = q + 7; f = b + 4; b = i + 5. Given that n = 15, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"b": "j + 1", "l": "b + 9", "d": "l + 2", "v": "d + 3", "c": "v + 14", "f": "c + 11", "w": "j + 17", "m": "w + 17", "n": "m + 10", "e": "n + 9", "t": "e + 4", "s": "t + 4", "j": 10}, "premises": {"j": 10}, "target": "f"}, "answer": {"steps": [["c", "v + 14", "v + 25"], ["v", "d + 3", "d + 28"], ["d", "l + 2", "l + 30"], ["l", "b + 9", "b + 39"], ["b", "j + 1", "j + 40"], ["j", 10, "50"]], "target_var_name": "f", "target_value": 50, "value_dict": {"j": 10}, "is_reverse": true}}
| 4,403
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = m + 10; t = e + 4; e = n + 9; l = b + 9; f = c + 11; j = 10; b = j + 1; s = t + 4; w = j + 17; m = w + 17; v = d + 3; c = v + 14; d = l + 2. Given that j = 10, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 50,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = v + 14 to f, which gives f = v + 25.\n2. Substitute v = d + 3 to f, which gives f = d + 28.\n3. Substitute d = l + 2 to f, which gives f = l + 30.\n4. Substitute l = b + 9 to f, which gives f = b + 39.\n5. Substitute b = j + 1 to f, which gives f = j + 40.\n6. Substitute j = 10 to f, which gives f = 50.\n\nThus, the final answer is f = \\boxed{50}.",
"index": 4403,
"question": "Suppose a collection of variables is related by the following definitions: n = m + 10; t = e + 4; e = n + 9; l = b + 9; f = c + 11; j = 10; b = j + 1; s = t + 4; w = j + 17; m = w + 17; v = d + 3; c = v + 14; d = l + 2. Given that j = 10, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"b": "s + 18", "l": "b + 11", "k": "l + 8", "t": "k + 5", "u": "t + 12", "d": "u + 10", "q": "s + 13", "i": "q + 7", "j": "i + 8", "w": "j + 6", "v": "w + 7", "f": "v + 15", "s": 18}, "premises": {"s": 18}, "target": "d"}, "answer": {"steps": [["u", "t + 12", "t + 22"], ["t", "k + 5", "k + 27"], ["k", "l + 8", "l + 35"], ["l", "b + 11", "b + 46"], ["b", "s + 18", "s + 64"], ["s", 18, "82"]], "target_var_name": "d", "target_value": 82, "value_dict": {"s": 18}, "is_reverse": true}}
| 4,404
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = 18; l = b + 11; b = s + 18; t = k + 5; f = v + 15; j = i + 8; k = l + 8; d = u + 10; v = w + 7; q = s + 13; u = t + 12; w = j + 6; i = q + 7. Given that s = 18, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = t + 12 to d, which gives d = t + 22.\n2. Substitute t = k + 5 to d, which gives d = k + 27.\n3. Substitute k = l + 8 to d, which gives d = l + 35.\n4. Substitute l = b + 11 to d, which gives d = b + 46.\n5. Substitute b = s + 18 to d, which gives d = s + 64.\n6. Substitute s = 18 to d, which gives d = 82.\n\nThus, the final answer is d = \\boxed{82}.",
"index": 4404,
"question": "Suppose a collection of variables is related by the following definitions: s = 18; l = b + 11; b = s + 18; t = k + 5; f = v + 15; j = i + 8; k = l + 8; d = u + 10; v = w + 7; q = s + 13; u = t + 12; w = j + 6; i = q + 7. Given that s = 18, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"i": "m + 9", "n": "i + 13", "g": "n + 18", "a": "g + 11", "u": "a + 18", "c": "u + 18", "z": "m + 11", "b": "z + 2", "t": "b + 4", "x": "t + 14", "k": "x + 13", "y": "k + 2", "m": 11}, "premises": {"m": 11}, "target": "c"}, "answer": {"steps": [["u", "a + 18", "a + 36"], ["a", "g + 11", "g + 47"], ["g", "n + 18", "n + 65"], ["n", "i + 13", "i + 78"], ["i", "m + 9", "m + 87"], ["m", 11, "98"]], "target_var_name": "c", "target_value": 98, "value_dict": {"m": 11}, "is_reverse": true}}
| 4,405
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = i + 13; c = u + 18; z = m + 11; m = 11; b = z + 2; x = t + 14; g = n + 18; y = k + 2; a = g + 11; k = x + 13; i = m + 9; t = b + 4; u = a + 18. If m = 11, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 98,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = a + 18 to c, which gives c = a + 36.\n2. Substitute a = g + 11 to c, which gives c = g + 47.\n3. Substitute g = n + 18 to c, which gives c = n + 65.\n4. Substitute n = i + 13 to c, which gives c = i + 78.\n5. Substitute i = m + 9 to c, which gives c = m + 87.\n6. Substitute m = 11 to c, which gives c = 98.\n\nThus, the final answer is c = \\boxed{98}.",
"index": 4405,
"question": "Consider a system of variables where each variable is defined as follows: n = i + 13; c = u + 18; z = m + 11; m = 11; b = z + 2; x = t + 14; g = n + 18; y = k + 2; a = g + 11; k = x + 13; i = m + 9; t = b + 4; u = a + 18. If m = 11, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"q": "f + 6", "w": "q + 1", "o": "w + 14", "d": "o + 20", "y": "d + 8", "u": "y + 20", "t": "f + 5", "p": "t + 16", "s": "p + 2", "c": "s + 2", "z": "c + 14", "e": "z + 16", "f": 2}, "premises": {"f": 2}, "target": "u"}, "answer": {"steps": [["y", "d + 8", "d + 28"], ["d", "o + 20", "o + 48"], ["o", "w + 14", "w + 62"], ["w", "q + 1", "q + 63"], ["q", "f + 6", "f + 69"], ["f", 2, "71"]], "target_var_name": "u", "target_value": 71, "value_dict": {"f": 2}, "is_reverse": true}}
| 4,406
| 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 = z + 16; u = y + 20; t = f + 5; z = c + 14; d = o + 20; q = f + 6; p = t + 16; y = d + 8; o = w + 14; c = s + 2; w = q + 1; f = 2; s = p + 2. If f = 2, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = d + 8 to u, which gives u = d + 28.\n2. Substitute d = o + 20 to u, which gives u = o + 48.\n3. Substitute o = w + 14 to u, which gives u = w + 62.\n4. Substitute w = q + 1 to u, which gives u = q + 63.\n5. Substitute q = f + 6 to u, which gives u = f + 69.\n6. Substitute f = 2 to u, which gives u = 71.\n\nThus, the final answer is u = \\boxed{71}.",
"index": 4406,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = z + 16; u = y + 20; t = f + 5; z = c + 14; d = o + 20; q = f + 6; p = t + 16; y = d + 8; o = w + 14; c = s + 2; w = q + 1; f = 2; s = p + 2. If f = 2, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"j": "c + 7", "m": "j + 2", "s": "m + 11", "o": "s + 2", "f": "o + 10", "n": "f + 17", "p": "c + 3", "k": "p + 16", "b": "k + 2", "h": "b + 13", "d": "h + 4", "i": "d + 1", "c": 13}, "premises": {"c": 13}, "target": "n"}, "answer": {"steps": [["f", "o + 10", "o + 27"], ["o", "s + 2", "s + 29"], ["s", "m + 11", "m + 40"], ["m", "j + 2", "j + 42"], ["j", "c + 7", "c + 49"], ["c", 13, "62"]], "target_var_name": "n", "target_value": 62, "value_dict": {"c": 13}, "is_reverse": true}}
| 4,407
| 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 = j + 2; j = c + 7; i = d + 1; k = p + 16; o = s + 2; d = h + 4; h = b + 13; f = o + 10; b = k + 2; n = f + 17; s = m + 11; c = 13; p = c + 3. If c = 13, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = o + 10 to n, which gives n = o + 27.\n2. Substitute o = s + 2 to n, which gives n = s + 29.\n3. Substitute s = m + 11 to n, which gives n = m + 40.\n4. Substitute m = j + 2 to n, which gives n = j + 42.\n5. Substitute j = c + 7 to n, which gives n = c + 49.\n6. Substitute c = 13 to n, which gives n = 62.\n\nThus, the final answer is n = \\boxed{62}.",
"index": 4407,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = j + 2; j = c + 7; i = d + 1; k = p + 16; o = s + 2; d = h + 4; h = b + 13; f = o + 10; b = k + 2; n = f + 17; s = m + 11; c = 13; p = c + 3. If c = 13, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"s": "m + 13", "k": "s + 4", "e": "k + 7", "x": "e + 14", "d": "x + 14", "f": "d + 20", "h": "m + 1", "q": "h + 18", "w": "q + 4", "n": "w + 7", "v": "n + 6", "c": "v + 7", "m": 11}, "premises": {"m": 11}, "target": "f"}, "answer": {"steps": [["d", "x + 14", "x + 34"], ["x", "e + 14", "e + 48"], ["e", "k + 7", "k + 55"], ["k", "s + 4", "s + 59"], ["s", "m + 13", "m + 72"], ["m", 11, "83"]], "target_var_name": "f", "target_value": 83, "value_dict": {"m": 11}, "is_reverse": true}}
| 4,408
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = m + 1; e = k + 7; q = h + 18; f = d + 20; s = m + 13; w = q + 4; x = e + 14; m = 11; k = s + 4; n = w + 7; v = n + 6; d = x + 14; c = v + 7. Given that m = 11, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = x + 14 to f, which gives f = x + 34.\n2. Substitute x = e + 14 to f, which gives f = e + 48.\n3. Substitute e = k + 7 to f, which gives f = k + 55.\n4. Substitute k = s + 4 to f, which gives f = s + 59.\n5. Substitute s = m + 13 to f, which gives f = m + 72.\n6. Substitute m = 11 to f, which gives f = 83.\n\nThus, the final answer is f = \\boxed{83}.",
"index": 4408,
"question": "Suppose a collection of variables is related by the following definitions: h = m + 1; e = k + 7; q = h + 18; f = d + 20; s = m + 13; w = q + 4; x = e + 14; m = 11; k = s + 4; n = w + 7; v = n + 6; d = x + 14; c = v + 7. Given that m = 11, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"m": "o + 11", "c": "m + 20", "y": "c + 17", "i": "y + 18", "t": "i + 15", "z": "t + 5", "e": "o + 14", "d": "e + 2", "u": "d + 10", "j": "u + 17", "l": "j + 8", "w": "l + 20", "o": 13}, "premises": {"o": 13}, "target": "z"}, "answer": {"steps": [["t", "i + 15", "i + 20"], ["i", "y + 18", "y + 38"], ["y", "c + 17", "c + 55"], ["c", "m + 20", "m + 75"], ["m", "o + 11", "o + 86"], ["o", 13, "99"]], "target_var_name": "z", "target_value": 99, "value_dict": {"o": 13}, "is_reverse": true}}
| 4,409
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = d + 10; j = u + 17; m = o + 11; l = j + 8; i = y + 18; c = m + 20; d = e + 2; z = t + 5; w = l + 20; y = c + 17; e = o + 14; o = 13; t = i + 15. If o = 13, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 99,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = i + 15 to z, which gives z = i + 20.\n2. Substitute i = y + 18 to z, which gives z = y + 38.\n3. Substitute y = c + 17 to z, which gives z = c + 55.\n4. Substitute c = m + 20 to z, which gives z = m + 75.\n5. Substitute m = o + 11 to z, which gives z = o + 86.\n6. Substitute o = 13 to z, which gives z = 99.\n\nThus, the final answer is z = \\boxed{99}.",
"index": 4409,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = d + 10; j = u + 17; m = o + 11; l = j + 8; i = y + 18; c = m + 20; d = e + 2; z = t + 5; w = l + 20; y = c + 17; e = o + 14; o = 13; t = i + 15. If o = 13, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"t": "j + 3", "b": "t + 19", "u": "b + 10", "r": "u + 20", "z": "r + 14", "c": "z + 2", "s": "j + 8", "d": "s + 7", "q": "d + 10", "n": "q + 15", "m": "n + 18", "g": "m + 17", "j": 18}, "premises": {"j": 18}, "target": "c"}, "answer": {"steps": [["z", "r + 14", "r + 16"], ["r", "u + 20", "u + 36"], ["u", "b + 10", "b + 46"], ["b", "t + 19", "t + 65"], ["t", "j + 3", "j + 68"], ["j", 18, "86"]], "target_var_name": "c", "target_value": 86, "value_dict": {"j": 18}, "is_reverse": true}}
| 4,410
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = s + 7; z = r + 14; u = b + 10; q = d + 10; c = z + 2; g = m + 17; j = 18; t = j + 3; r = u + 20; m = n + 18; n = q + 15; b = t + 19; s = j + 8. Given that j = 18, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = r + 14 to c, which gives c = r + 16.\n2. Substitute r = u + 20 to c, which gives c = u + 36.\n3. Substitute u = b + 10 to c, which gives c = b + 46.\n4. Substitute b = t + 19 to c, which gives c = t + 65.\n5. Substitute t = j + 3 to c, which gives c = j + 68.\n6. Substitute j = 18 to c, which gives c = 86.\n\nThus, the final answer is c = \\boxed{86}.",
"index": 4410,
"question": "Suppose a collection of variables is related by the following definitions: d = s + 7; z = r + 14; u = b + 10; q = d + 10; c = z + 2; g = m + 17; j = 18; t = j + 3; r = u + 20; m = n + 18; n = q + 15; b = t + 19; s = j + 8. Given that j = 18, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"j": "w + 5", "a": "j + 5", "k": "a + 18", "i": "k + 4", "q": "i + 13", "z": "q + 6", "c": "w + 10", "r": "c + 5", "v": "r + 19", "g": "v + 18", "x": "g + 3", "o": "x + 7", "w": 5}, "premises": {"w": 5}, "target": "z"}, "answer": {"steps": [["q", "i + 13", "i + 19"], ["i", "k + 4", "k + 23"], ["k", "a + 18", "a + 41"], ["a", "j + 5", "j + 46"], ["j", "w + 5", "w + 51"], ["w", 5, "56"]], "target_var_name": "z", "target_value": 56, "value_dict": {"w": 5}, "is_reverse": true}}
| 4,411
| 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 = i + 13; x = g + 3; z = q + 6; r = c + 5; w = 5; v = r + 19; o = x + 7; k = a + 18; g = v + 18; i = k + 4; a = j + 5; j = w + 5; c = w + 10. If w = 5, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = i + 13 to z, which gives z = i + 19.\n2. Substitute i = k + 4 to z, which gives z = k + 23.\n3. Substitute k = a + 18 to z, which gives z = a + 41.\n4. Substitute a = j + 5 to z, which gives z = j + 46.\n5. Substitute j = w + 5 to z, which gives z = w + 51.\n6. Substitute w = 5 to z, which gives z = 56.\n\nThus, the final answer is z = \\boxed{56}.",
"index": 4411,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = i + 13; x = g + 3; z = q + 6; r = c + 5; w = 5; v = r + 19; o = x + 7; k = a + 18; g = v + 18; i = k + 4; a = j + 5; j = w + 5; c = w + 10. If w = 5, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"o": "g + 1", "i": "o + 6", "e": "i + 3", "h": "e + 10", "y": "h + 12", "u": "y + 14", "z": "g + 14", "s": "z + 6", "q": "s + 9", "m": "q + 14", "k": "m + 9", "d": "k + 20", "g": 17}, "premises": {"g": 17}, "target": "u"}, "answer": {"steps": [["y", "h + 12", "h + 26"], ["h", "e + 10", "e + 36"], ["e", "i + 3", "i + 39"], ["i", "o + 6", "o + 45"], ["o", "g + 1", "g + 46"], ["g", 17, "63"]], "target_var_name": "u", "target_value": 63, "value_dict": {"g": 17}, "is_reverse": true}}
| 4,412
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = m + 9; z = g + 14; g = 17; d = k + 20; i = o + 6; h = e + 10; u = y + 14; o = g + 1; q = s + 9; m = q + 14; y = h + 12; s = z + 6; e = i + 3. If g = 17, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = h + 12 to u, which gives u = h + 26.\n2. Substitute h = e + 10 to u, which gives u = e + 36.\n3. Substitute e = i + 3 to u, which gives u = i + 39.\n4. Substitute i = o + 6 to u, which gives u = o + 45.\n5. Substitute o = g + 1 to u, which gives u = g + 46.\n6. Substitute g = 17 to u, which gives u = 63.\n\nThus, the final answer is u = \\boxed{63}.",
"index": 4412,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = m + 9; z = g + 14; g = 17; d = k + 20; i = o + 6; h = e + 10; u = y + 14; o = g + 1; q = s + 9; m = q + 14; y = h + 12; s = z + 6; e = i + 3. If g = 17, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"o": "r + 7", "q": "o + 12", "k": "q + 19", "b": "k + 7", "c": "b + 8", "f": "c + 5", "m": "r + 17", "g": "m + 6", "i": "g + 8", "w": "i + 15", "v": "w + 17", "j": "v + 12", "r": 13}, "premises": {"r": 13}, "target": "f"}, "answer": {"steps": [["c", "b + 8", "b + 13"], ["b", "k + 7", "k + 20"], ["k", "q + 19", "q + 39"], ["q", "o + 12", "o + 51"], ["o", "r + 7", "r + 58"], ["r", 13, "71"]], "target_var_name": "f", "target_value": 71, "value_dict": {"r": 13}, "is_reverse": true}}
| 4,413
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = m + 6; f = c + 5; i = g + 8; k = q + 19; v = w + 17; q = o + 12; c = b + 8; b = k + 7; j = v + 12; o = r + 7; m = r + 17; r = 13; w = i + 15. Given that r = 13, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = b + 8 to f, which gives f = b + 13.\n2. Substitute b = k + 7 to f, which gives f = k + 20.\n3. Substitute k = q + 19 to f, which gives f = q + 39.\n4. Substitute q = o + 12 to f, which gives f = o + 51.\n5. Substitute o = r + 7 to f, which gives f = r + 58.\n6. Substitute r = 13 to f, which gives f = 71.\n\nThus, the final answer is f = \\boxed{71}.",
"index": 4413,
"question": "Suppose a collection of variables is related by the following definitions: g = m + 6; f = c + 5; i = g + 8; k = q + 19; v = w + 17; q = o + 12; c = b + 8; b = k + 7; j = v + 12; o = r + 7; m = r + 17; r = 13; w = i + 15. Given that r = 13, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"e": "a + 18", "v": "e + 4", "k": "v + 8", "x": "k + 3", "s": "x + 3", "w": "s + 1", "o": "a + 17", "n": "o + 12", "p": "n + 10", "j": "p + 11", "d": "j + 9", "u": "d + 12", "a": 3}, "premises": {"a": 3}, "target": "w"}, "answer": {"steps": [["s", "x + 3", "x + 4"], ["x", "k + 3", "k + 7"], ["k", "v + 8", "v + 15"], ["v", "e + 4", "e + 19"], ["e", "a + 18", "a + 37"], ["a", 3, "40"]], "target_var_name": "w", "target_value": 40, "value_dict": {"a": 3}, "is_reverse": true}}
| 4,414
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = x + 3; n = o + 12; e = a + 18; p = n + 10; x = k + 3; o = a + 17; d = j + 9; v = e + 4; a = 3; j = p + 11; u = d + 12; w = s + 1; k = v + 8. Given that a = 3, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 40,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = x + 3 to w, which gives w = x + 4.\n2. Substitute x = k + 3 to w, which gives w = k + 7.\n3. Substitute k = v + 8 to w, which gives w = v + 15.\n4. Substitute v = e + 4 to w, which gives w = e + 19.\n5. Substitute e = a + 18 to w, which gives w = a + 37.\n6. Substitute a = 3 to w, which gives w = 40.\n\nThus, the final answer is w = \\boxed{40}.",
"index": 4414,
"question": "Suppose a collection of variables is related by the following definitions: s = x + 3; n = o + 12; e = a + 18; p = n + 10; x = k + 3; o = a + 17; d = j + 9; v = e + 4; a = 3; j = p + 11; u = d + 12; w = s + 1; k = v + 8. Given that a = 3, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"d": "i + 1", "o": "d + 1", "c": "o + 9", "a": "c + 1", "e": "a + 5", "w": "e + 18", "y": "i + 16", "m": "y + 17", "b": "m + 9", "v": "b + 11", "f": "v + 19", "s": "f + 5", "i": 15}, "premises": {"i": 15}, "target": "w"}, "answer": {"steps": [["e", "a + 5", "a + 23"], ["a", "c + 1", "c + 24"], ["c", "o + 9", "o + 33"], ["o", "d + 1", "d + 34"], ["d", "i + 1", "i + 35"], ["i", 15, "50"]], "target_var_name": "w", "target_value": 50, "value_dict": {"i": 15}, "is_reverse": true}}
| 4,415
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = i + 1; i = 15; s = f + 5; f = v + 19; e = a + 5; v = b + 11; w = e + 18; m = y + 17; b = m + 9; c = o + 9; y = i + 16; o = d + 1; a = c + 1. Given that i = 15, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 50,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = a + 5 to w, which gives w = a + 23.\n2. Substitute a = c + 1 to w, which gives w = c + 24.\n3. Substitute c = o + 9 to w, which gives w = o + 33.\n4. Substitute o = d + 1 to w, which gives w = d + 34.\n5. Substitute d = i + 1 to w, which gives w = i + 35.\n6. Substitute i = 15 to w, which gives w = 50.\n\nThus, the final answer is w = \\boxed{50}.",
"index": 4415,
"question": "Suppose a collection of variables is related by the following definitions: d = i + 1; i = 15; s = f + 5; f = v + 19; e = a + 5; v = b + 11; w = e + 18; m = y + 17; b = m + 9; c = o + 9; y = i + 16; o = d + 1; a = c + 1. Given that i = 15, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"c": "n + 5", "b": "c + 11", "i": "b + 4", "z": "i + 20", "u": "z + 18", "g": "u + 11", "h": "n + 12", "q": "h + 3", "x": "q + 14", "e": "x + 6", "s": "e + 19", "p": "s + 10", "n": 18}, "premises": {"n": 18}, "target": "g"}, "answer": {"steps": [["u", "z + 18", "z + 29"], ["z", "i + 20", "i + 49"], ["i", "b + 4", "b + 53"], ["b", "c + 11", "c + 64"], ["c", "n + 5", "n + 69"], ["n", 18, "87"]], "target_var_name": "g", "target_value": 87, "value_dict": {"n": 18}, "is_reverse": true}}
| 4,416
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = 18; g = u + 11; s = e + 19; z = i + 20; h = n + 12; e = x + 6; u = z + 18; c = n + 5; q = h + 3; i = b + 4; x = q + 14; p = s + 10; b = c + 11. Given that n = 18, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = z + 18 to g, which gives g = z + 29.\n2. Substitute z = i + 20 to g, which gives g = i + 49.\n3. Substitute i = b + 4 to g, which gives g = b + 53.\n4. Substitute b = c + 11 to g, which gives g = c + 64.\n5. Substitute c = n + 5 to g, which gives g = n + 69.\n6. Substitute n = 18 to g, which gives g = 87.\n\nThus, the final answer is g = \\boxed{87}.",
"index": 4416,
"question": "Suppose a collection of variables is related by the following definitions: n = 18; g = u + 11; s = e + 19; z = i + 20; h = n + 12; e = x + 6; u = z + 18; c = n + 5; q = h + 3; i = b + 4; x = q + 14; p = s + 10; b = c + 11. Given that n = 18, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"s": "m + 3", "n": "s + 7", "j": "n + 10", "c": "j + 1", "o": "c + 2", "a": "o + 4", "l": "m + 5", "b": "l + 4", "g": "b + 6", "y": "g + 15", "p": "y + 1", "r": "p + 15", "m": 6}, "premises": {"m": 6}, "target": "a"}, "answer": {"steps": [["o", "c + 2", "c + 6"], ["c", "j + 1", "j + 7"], ["j", "n + 10", "n + 17"], ["n", "s + 7", "s + 24"], ["s", "m + 3", "m + 27"], ["m", 6, "33"]], "target_var_name": "a", "target_value": 33, "value_dict": {"m": 6}, "is_reverse": true}}
| 4,417
| 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 = m + 3; p = y + 1; j = n + 10; r = p + 15; b = l + 4; l = m + 5; c = j + 1; y = g + 15; a = o + 4; n = s + 7; g = b + 6; o = c + 2; m = 6. If m = 6, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 33,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = c + 2 to a, which gives a = c + 6.\n2. Substitute c = j + 1 to a, which gives a = j + 7.\n3. Substitute j = n + 10 to a, which gives a = n + 17.\n4. Substitute n = s + 7 to a, which gives a = s + 24.\n5. Substitute s = m + 3 to a, which gives a = m + 27.\n6. Substitute m = 6 to a, which gives a = 33.\n\nThus, the final answer is a = \\boxed{33}.",
"index": 4417,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = m + 3; p = y + 1; j = n + 10; r = p + 15; b = l + 4; l = m + 5; c = j + 1; y = g + 15; a = o + 4; n = s + 7; g = b + 6; o = c + 2; m = 6. If m = 6, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"a": "x + 7", "j": "a + 12", "w": "j + 6", "o": "w + 19", "h": "o + 1", "s": "h + 7", "e": "x + 20", "n": "e + 3", "p": "n + 16", "r": "p + 13", "z": "r + 11", "c": "z + 8", "x": 20}, "premises": {"x": 20}, "target": "s"}, "answer": {"steps": [["h", "o + 1", "o + 8"], ["o", "w + 19", "w + 27"], ["w", "j + 6", "j + 33"], ["j", "a + 12", "a + 45"], ["a", "x + 7", "x + 52"], ["x", 20, "72"]], "target_var_name": "s", "target_value": 72, "value_dict": {"x": 20}, "is_reverse": true}}
| 4,418
| 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 = z + 8; e = x + 20; a = x + 7; p = n + 16; n = e + 3; j = a + 12; w = j + 6; o = w + 19; z = r + 11; r = p + 13; x = 20; h = o + 1; s = h + 7. If x = 20, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = o + 1 to s, which gives s = o + 8.\n2. Substitute o = w + 19 to s, which gives s = w + 27.\n3. Substitute w = j + 6 to s, which gives s = j + 33.\n4. Substitute j = a + 12 to s, which gives s = a + 45.\n5. Substitute a = x + 7 to s, which gives s = x + 52.\n6. Substitute x = 20 to s, which gives s = 72.\n\nThus, the final answer is s = \\boxed{72}.",
"index": 4418,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = z + 8; e = x + 20; a = x + 7; p = n + 16; n = e + 3; j = a + 12; w = j + 6; o = w + 19; z = r + 11; r = p + 13; x = 20; h = o + 1; s = h + 7. If x = 20, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"h": "m + 19", "k": "h + 12", "q": "k + 20", "d": "q + 14", "n": "d + 18", "u": "n + 15", "x": "m + 1", "e": "x + 3", "a": "e + 15", "g": "a + 20", "o": "g + 4", "p": "o + 8", "m": 7}, "premises": {"m": 7}, "target": "u"}, "answer": {"steps": [["n", "d + 18", "d + 33"], ["d", "q + 14", "q + 47"], ["q", "k + 20", "k + 67"], ["k", "h + 12", "h + 79"], ["h", "m + 19", "m + 98"], ["m", 7, "105"]], "target_var_name": "u", "target_value": 105, "value_dict": {"m": 7}, "is_reverse": true}}
| 4,419
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = o + 8; e = x + 3; d = q + 14; k = h + 12; m = 7; u = n + 15; g = a + 20; h = m + 19; n = d + 18; o = g + 4; a = e + 15; q = k + 20; x = m + 1. Given that m = 7, find 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 n = d + 18 to u, which gives u = d + 33.\n2. Substitute d = q + 14 to u, which gives u = q + 47.\n3. Substitute q = k + 20 to u, which gives u = k + 67.\n4. Substitute k = h + 12 to u, which gives u = h + 79.\n5. Substitute h = m + 19 to u, which gives u = m + 98.\n6. Substitute m = 7 to u, which gives u = 105.\n\nThus, the final answer is u = \\boxed{105}.",
"index": 4419,
"question": "Suppose a collection of variables is related by the following definitions: p = o + 8; e = x + 3; d = q + 14; k = h + 12; m = 7; u = n + 15; g = a + 20; h = m + 19; n = d + 18; o = g + 4; a = e + 15; q = k + 20; x = m + 1. Given that m = 7, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"r": "w + 11", "s": "r + 4", "b": "s + 3", "j": "b + 2", "f": "j + 5", "y": "f + 16", "n": "w + 1", "d": "n + 14", "l": "d + 14", "e": "l + 19", "x": "e + 5", "z": "x + 13", "w": 17}, "premises": {"w": 17}, "target": "y"}, "answer": {"steps": [["f", "j + 5", "j + 21"], ["j", "b + 2", "b + 23"], ["b", "s + 3", "s + 26"], ["s", "r + 4", "r + 30"], ["r", "w + 11", "w + 41"], ["w", 17, "58"]], "target_var_name": "y", "target_value": 58, "value_dict": {"w": 17}, "is_reverse": true}}
| 4,420
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = s + 3; w = 17; l = d + 14; x = e + 5; r = w + 11; n = w + 1; e = l + 19; z = x + 13; j = b + 2; y = f + 16; s = r + 4; d = n + 14; f = j + 5. If w = 17, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = j + 5 to y, which gives y = j + 21.\n2. Substitute j = b + 2 to y, which gives y = b + 23.\n3. Substitute b = s + 3 to y, which gives y = s + 26.\n4. Substitute s = r + 4 to y, which gives y = r + 30.\n5. Substitute r = w + 11 to y, which gives y = w + 41.\n6. Substitute w = 17 to y, which gives y = 58.\n\nThus, the final answer is y = \\boxed{58}.",
"index": 4420,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = s + 3; w = 17; l = d + 14; x = e + 5; r = w + 11; n = w + 1; e = l + 19; z = x + 13; j = b + 2; y = f + 16; s = r + 4; d = n + 14; f = j + 5. If w = 17, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"c": "y + 11", "i": "c + 20", "p": "i + 16", "k": "p + 3", "q": "k + 7", "u": "q + 20", "g": "y + 3", "m": "g + 14", "s": "m + 6", "d": "s + 13", "t": "d + 14", "f": "t + 4", "y": 10}, "premises": {"y": 10}, "target": "u"}, "answer": {"steps": [["q", "k + 7", "k + 27"], ["k", "p + 3", "p + 30"], ["p", "i + 16", "i + 46"], ["i", "c + 20", "c + 66"], ["c", "y + 11", "y + 77"], ["y", 10, "87"]], "target_var_name": "u", "target_value": 87, "value_dict": {"y": 10}, "is_reverse": true}}
| 4,421
| 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 = y + 11; m = g + 14; p = i + 16; f = t + 4; d = s + 13; g = y + 3; t = d + 14; q = k + 7; s = m + 6; u = q + 20; k = p + 3; i = c + 20; y = 10. If y = 10, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = k + 7 to u, which gives u = k + 27.\n2. Substitute k = p + 3 to u, which gives u = p + 30.\n3. Substitute p = i + 16 to u, which gives u = i + 46.\n4. Substitute i = c + 20 to u, which gives u = c + 66.\n5. Substitute c = y + 11 to u, which gives u = y + 77.\n6. Substitute y = 10 to u, which gives u = 87.\n\nThus, the final answer is u = \\boxed{87}.",
"index": 4421,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = y + 11; m = g + 14; p = i + 16; f = t + 4; d = s + 13; g = y + 3; t = d + 14; q = k + 7; s = m + 6; u = q + 20; k = p + 3; i = c + 20; y = 10. If y = 10, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"n": "i + 19", "x": "n + 6", "z": "x + 13", "e": "z + 5", "c": "e + 2", "k": "c + 9", "a": "i + 2", "q": "a + 3", "g": "q + 16", "u": "g + 1", "f": "u + 16", "p": "f + 2", "i": 10}, "premises": {"i": 10}, "target": "k"}, "answer": {"steps": [["c", "e + 2", "e + 11"], ["e", "z + 5", "z + 16"], ["z", "x + 13", "x + 29"], ["x", "n + 6", "n + 35"], ["n", "i + 19", "i + 54"], ["i", 10, "64"]], "target_var_name": "k", "target_value": 64, "value_dict": {"i": 10}, "is_reverse": true}}
| 4,422
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = n + 6; u = g + 1; c = e + 2; z = x + 13; k = c + 9; e = z + 5; f = u + 16; p = f + 2; n = i + 19; a = i + 2; g = q + 16; i = 10; q = a + 3. If i = 10, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = e + 2 to k, which gives k = e + 11.\n2. Substitute e = z + 5 to k, which gives k = z + 16.\n3. Substitute z = x + 13 to k, which gives k = x + 29.\n4. Substitute x = n + 6 to k, which gives k = n + 35.\n5. Substitute n = i + 19 to k, which gives k = i + 54.\n6. Substitute i = 10 to k, which gives k = 64.\n\nThus, the final answer is k = \\boxed{64}.",
"index": 4422,
"question": "Consider a system of variables where each variable is defined as follows: x = n + 6; u = g + 1; c = e + 2; z = x + 13; k = c + 9; e = z + 5; f = u + 16; p = f + 2; n = i + 19; a = i + 2; g = q + 16; i = 10; q = a + 3. If i = 10, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"t": "e + 8", "w": "t + 18", "r": "w + 14", "c": "r + 17", "j": "c + 7", "p": "j + 18", "g": "e + 3", "n": "g + 3", "z": "n + 2", "f": "z + 18", "y": "f + 13", "h": "y + 16", "e": 1}, "premises": {"e": 1}, "target": "p"}, "answer": {"steps": [["j", "c + 7", "c + 25"], ["c", "r + 17", "r + 42"], ["r", "w + 14", "w + 56"], ["w", "t + 18", "t + 74"], ["t", "e + 8", "e + 82"], ["e", 1, "83"]], "target_var_name": "p", "target_value": 83, "value_dict": {"e": 1}, "is_reverse": true}}
| 4,423
| 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 = n + 2; y = f + 13; j = c + 7; n = g + 3; r = w + 14; t = e + 8; h = y + 16; c = r + 17; g = e + 3; p = j + 18; e = 1; f = z + 18; w = t + 18. If e = 1, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = c + 7 to p, which gives p = c + 25.\n2. Substitute c = r + 17 to p, which gives p = r + 42.\n3. Substitute r = w + 14 to p, which gives p = w + 56.\n4. Substitute w = t + 18 to p, which gives p = t + 74.\n5. Substitute t = e + 8 to p, which gives p = e + 82.\n6. Substitute e = 1 to p, which gives p = 83.\n\nThus, the final answer is p = \\boxed{83}.",
"index": 4423,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = n + 2; y = f + 13; j = c + 7; n = g + 3; r = w + 14; t = e + 8; h = y + 16; c = r + 17; g = e + 3; p = j + 18; e = 1; f = z + 18; w = t + 18. If e = 1, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"a": "l + 15", "w": "a + 17", "g": "w + 12", "y": "g + 2", "o": "y + 18", "p": "o + 10", "f": "l + 10", "j": "f + 3", "r": "j + 3", "t": "r + 15", "v": "t + 5", "z": "v + 14", "l": 18}, "premises": {"l": 18}, "target": "p"}, "answer": {"steps": [["o", "y + 18", "y + 28"], ["y", "g + 2", "g + 30"], ["g", "w + 12", "w + 42"], ["w", "a + 17", "a + 59"], ["a", "l + 15", "l + 74"], ["l", 18, "92"]], "target_var_name": "p", "target_value": 92, "value_dict": {"l": 18}, "is_reverse": true}}
| 4,424
| 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 = r + 15; f = l + 10; r = j + 3; o = y + 18; w = a + 17; p = o + 10; l = 18; z = v + 14; y = g + 2; v = t + 5; a = l + 15; g = w + 12; j = f + 3. If l = 18, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = y + 18 to p, which gives p = y + 28.\n2. Substitute y = g + 2 to p, which gives p = g + 30.\n3. Substitute g = w + 12 to p, which gives p = w + 42.\n4. Substitute w = a + 17 to p, which gives p = a + 59.\n5. Substitute a = l + 15 to p, which gives p = l + 74.\n6. Substitute l = 18 to p, which gives p = 92.\n\nThus, the final answer is p = \\boxed{92}.",
"index": 4424,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = r + 15; f = l + 10; r = j + 3; o = y + 18; w = a + 17; p = o + 10; l = 18; z = v + 14; y = g + 2; v = t + 5; a = l + 15; g = w + 12; j = f + 3. If l = 18, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"j": "n + 20", "v": "j + 5", "c": "v + 18", "l": "c + 8", "i": "l + 7", "m": "i + 8", "b": "n + 2", "f": "b + 12", "k": "f + 13", "p": "k + 15", "e": "p + 7", "u": "e + 20", "n": 20}, "premises": {"n": 20}, "target": "m"}, "answer": {"steps": [["i", "l + 7", "l + 15"], ["l", "c + 8", "c + 23"], ["c", "v + 18", "v + 41"], ["v", "j + 5", "j + 46"], ["j", "n + 20", "n + 66"], ["n", 20, "86"]], "target_var_name": "m", "target_value": 86, "value_dict": {"n": 20}, "is_reverse": true}}
| 4,425
| 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 = l + 7; k = f + 13; l = c + 8; m = i + 8; f = b + 12; c = v + 18; b = n + 2; e = p + 7; n = 20; j = n + 20; p = k + 15; v = j + 5; u = e + 20. If n = 20, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = l + 7 to m, which gives m = l + 15.\n2. Substitute l = c + 8 to m, which gives m = c + 23.\n3. Substitute c = v + 18 to m, which gives m = v + 41.\n4. Substitute v = j + 5 to m, which gives m = j + 46.\n5. Substitute j = n + 20 to m, which gives m = n + 66.\n6. Substitute n = 20 to m, which gives m = 86.\n\nThus, the final answer is m = \\boxed{86}.",
"index": 4425,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = l + 7; k = f + 13; l = c + 8; m = i + 8; f = b + 12; c = v + 18; b = n + 2; e = p + 7; n = 20; j = n + 20; p = k + 15; v = j + 5; u = e + 20. If n = 20, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"z": "r + 17", "a": "z + 2", "j": "a + 5", "w": "j + 2", "e": "w + 15", "v": "e + 5", "y": "r + 20", "g": "y + 1", "p": "g + 4", "f": "p + 6", "b": "f + 7", "h": "b + 12", "r": 3}, "premises": {"r": 3}, "target": "v"}, "answer": {"steps": [["e", "w + 15", "w + 20"], ["w", "j + 2", "j + 22"], ["j", "a + 5", "a + 27"], ["a", "z + 2", "z + 29"], ["z", "r + 17", "r + 46"], ["r", 3, "49"]], "target_var_name": "v", "target_value": 49, "value_dict": {"r": 3}, "is_reverse": true}}
| 4,426
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = f + 7; r = 3; y = r + 20; e = w + 15; z = r + 17; w = j + 2; v = e + 5; h = b + 12; p = g + 4; j = a + 5; g = y + 1; a = z + 2; f = p + 6. If r = 3, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = w + 15 to v, which gives v = w + 20.\n2. Substitute w = j + 2 to v, which gives v = j + 22.\n3. Substitute j = a + 5 to v, which gives v = a + 27.\n4. Substitute a = z + 2 to v, which gives v = z + 29.\n5. Substitute z = r + 17 to v, which gives v = r + 46.\n6. Substitute r = 3 to v, which gives v = 49.\n\nThus, the final answer is v = \\boxed{49}.",
"index": 4426,
"question": "Consider a system of variables where each variable is defined as follows: b = f + 7; r = 3; y = r + 20; e = w + 15; z = r + 17; w = j + 2; v = e + 5; h = b + 12; p = g + 4; j = a + 5; g = y + 1; a = z + 2; f = p + 6. If r = 3, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"z": "a + 9", "f": "z + 19", "l": "f + 6", "c": "l + 5", "m": "c + 8", "y": "m + 8", "x": "a + 18", "p": "x + 1", "q": "p + 3", "h": "q + 2", "u": "h + 19", "w": "u + 2", "a": 19}, "premises": {"a": 19}, "target": "y"}, "answer": {"steps": [["m", "c + 8", "c + 16"], ["c", "l + 5", "l + 21"], ["l", "f + 6", "f + 27"], ["f", "z + 19", "z + 46"], ["z", "a + 9", "a + 55"], ["a", 19, "74"]], "target_var_name": "y", "target_value": 74, "value_dict": {"a": 19}, "is_reverse": true}}
| 4,427
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = x + 1; u = h + 19; w = u + 2; l = f + 6; m = c + 8; a = 19; f = z + 19; q = p + 3; y = m + 8; c = l + 5; x = a + 18; h = q + 2; z = a + 9. If a = 19, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = c + 8 to y, which gives y = c + 16.\n2. Substitute c = l + 5 to y, which gives y = l + 21.\n3. Substitute l = f + 6 to y, which gives y = f + 27.\n4. Substitute f = z + 19 to y, which gives y = z + 46.\n5. Substitute z = a + 9 to y, which gives y = a + 55.\n6. Substitute a = 19 to y, which gives y = 74.\n\nThus, the final answer is y = \\boxed{74}.",
"index": 4427,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = x + 1; u = h + 19; w = u + 2; l = f + 6; m = c + 8; a = 19; f = z + 19; q = p + 3; y = m + 8; c = l + 5; x = a + 18; h = q + 2; z = a + 9. If a = 19, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"n": "j + 20", "l": "n + 13", "y": "l + 11", "i": "y + 14", "g": "i + 2", "r": "g + 19", "t": "j + 19", "s": "t + 12", "w": "s + 1", "o": "w + 8", "k": "o + 11", "d": "k + 17", "j": 1}, "premises": {"j": 1}, "target": "r"}, "answer": {"steps": [["g", "i + 2", "i + 21"], ["i", "y + 14", "y + 35"], ["y", "l + 11", "l + 46"], ["l", "n + 13", "n + 59"], ["n", "j + 20", "j + 79"], ["j", 1, "80"]], "target_var_name": "r", "target_value": 80, "value_dict": {"j": 1}, "is_reverse": true}}
| 4,428
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = s + 1; k = o + 11; j = 1; r = g + 19; y = l + 11; d = k + 17; i = y + 14; l = n + 13; g = i + 2; s = t + 12; t = j + 19; n = j + 20; o = w + 8. If j = 1, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = i + 2 to r, which gives r = i + 21.\n2. Substitute i = y + 14 to r, which gives r = y + 35.\n3. Substitute y = l + 11 to r, which gives r = l + 46.\n4. Substitute l = n + 13 to r, which gives r = n + 59.\n5. Substitute n = j + 20 to r, which gives r = j + 79.\n6. Substitute j = 1 to r, which gives r = 80.\n\nThus, the final answer is r = \\boxed{80}.",
"index": 4428,
"question": "Consider a system of variables where each variable is defined as follows: w = s + 1; k = o + 11; j = 1; r = g + 19; y = l + 11; d = k + 17; i = y + 14; l = n + 13; g = i + 2; s = t + 12; t = j + 19; n = j + 20; o = w + 8. If j = 1, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"d": "r + 11", "w": "d + 13", "f": "w + 3", "n": "f + 8", "b": "n + 18", "p": "b + 1", "h": "r + 13", "j": "h + 7", "z": "j + 14", "k": "z + 9", "u": "k + 3", "g": "u + 11", "r": 20}, "premises": {"r": 20}, "target": "p"}, "answer": {"steps": [["b", "n + 18", "n + 19"], ["n", "f + 8", "f + 27"], ["f", "w + 3", "w + 30"], ["w", "d + 13", "d + 43"], ["d", "r + 11", "r + 54"], ["r", 20, "74"]], "target_var_name": "p", "target_value": 74, "value_dict": {"r": 20}, "is_reverse": true}}
| 4,429
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = w + 3; n = f + 8; p = b + 1; g = u + 11; z = j + 14; u = k + 3; d = r + 11; k = z + 9; b = n + 18; r = 20; h = r + 13; j = h + 7; w = d + 13. Given that r = 20, find 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 b = n + 18 to p, which gives p = n + 19.\n2. Substitute n = f + 8 to p, which gives p = f + 27.\n3. Substitute f = w + 3 to p, which gives p = w + 30.\n4. Substitute w = d + 13 to p, which gives p = d + 43.\n5. Substitute d = r + 11 to p, which gives p = r + 54.\n6. Substitute r = 20 to p, which gives p = 74.\n\nThus, the final answer is p = \\boxed{74}.",
"index": 4429,
"question": "Suppose a collection of variables is related by the following definitions: f = w + 3; n = f + 8; p = b + 1; g = u + 11; z = j + 14; u = k + 3; d = r + 11; k = z + 9; b = n + 18; r = 20; h = r + 13; j = h + 7; w = d + 13. Given that r = 20, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"v": "z + 16", "u": "v + 16", "l": "u + 19", "g": "l + 8", "w": "g + 1", "m": "w + 19", "e": "z + 11", "b": "e + 20", "h": "b + 6", "o": "h + 5", "a": "o + 20", "c": "a + 20", "z": 9}, "premises": {"z": 9}, "target": "m"}, "answer": {"steps": [["w", "g + 1", "g + 20"], ["g", "l + 8", "l + 28"], ["l", "u + 19", "u + 47"], ["u", "v + 16", "v + 63"], ["v", "z + 16", "z + 79"], ["z", 9, "88"]], "target_var_name": "m", "target_value": 88, "value_dict": {"z": 9}, "is_reverse": true}}
| 4,430
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = u + 19; z = 9; o = h + 5; u = v + 16; h = b + 6; m = w + 19; b = e + 20; e = z + 11; a = o + 20; v = z + 16; w = g + 1; g = l + 8; c = a + 20. If z = 9, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = g + 1 to m, which gives m = g + 20.\n2. Substitute g = l + 8 to m, which gives m = l + 28.\n3. Substitute l = u + 19 to m, which gives m = u + 47.\n4. Substitute u = v + 16 to m, which gives m = v + 63.\n5. Substitute v = z + 16 to m, which gives m = z + 79.\n6. Substitute z = 9 to m, which gives m = 88.\n\nThus, the final answer is m = \\boxed{88}.",
"index": 4430,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = u + 19; z = 9; o = h + 5; u = v + 16; h = b + 6; m = w + 19; b = e + 20; e = z + 11; a = o + 20; v = z + 16; w = g + 1; g = l + 8; c = a + 20. If z = 9, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"x": "k + 13", "y": "x + 15", "c": "y + 5", "d": "c + 9", "p": "d + 12", "b": "p + 8", "w": "k + 19", "g": "w + 1", "z": "g + 17", "t": "z + 20", "j": "t + 16", "l": "j + 15", "k": 11}, "premises": {"k": 11}, "target": "b"}, "answer": {"steps": [["p", "d + 12", "d + 20"], ["d", "c + 9", "c + 29"], ["c", "y + 5", "y + 34"], ["y", "x + 15", "x + 49"], ["x", "k + 13", "k + 62"], ["k", 11, "73"]], "target_var_name": "b", "target_value": 73, "value_dict": {"k": 11}, "is_reverse": true}}
| 4,431
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = j + 15; z = g + 17; g = w + 1; x = k + 13; j = t + 16; d = c + 9; b = p + 8; w = k + 19; t = z + 20; y = x + 15; p = d + 12; c = y + 5; k = 11. If k = 11, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = d + 12 to b, which gives b = d + 20.\n2. Substitute d = c + 9 to b, which gives b = c + 29.\n3. Substitute c = y + 5 to b, which gives b = y + 34.\n4. Substitute y = x + 15 to b, which gives b = x + 49.\n5. Substitute x = k + 13 to b, which gives b = k + 62.\n6. Substitute k = 11 to b, which gives b = 73.\n\nThus, the final answer is b = \\boxed{73}.",
"index": 4431,
"question": "Consider a system of variables where each variable is defined as follows: l = j + 15; z = g + 17; g = w + 1; x = k + 13; j = t + 16; d = c + 9; b = p + 8; w = k + 19; t = z + 20; y = x + 15; p = d + 12; c = y + 5; k = 11. If k = 11, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"d": "c + 3", "w": "d + 12", "a": "w + 20", "p": "a + 15", "z": "p + 9", "v": "z + 18", "y": "c + 20", "l": "y + 11", "n": "l + 18", "k": "n + 5", "r": "k + 8", "t": "r + 15", "c": 20}, "premises": {"c": 20}, "target": "v"}, "answer": {"steps": [["z", "p + 9", "p + 27"], ["p", "a + 15", "a + 42"], ["a", "w + 20", "w + 62"], ["w", "d + 12", "d + 74"], ["d", "c + 3", "c + 77"], ["c", 20, "97"]], "target_var_name": "v", "target_value": 97, "value_dict": {"c": 20}, "is_reverse": true}}
| 4,432
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = d + 12; a = w + 20; y = c + 20; t = r + 15; v = z + 18; n = l + 18; z = p + 9; p = a + 15; l = y + 11; k = n + 5; c = 20; r = k + 8; d = c + 3. Given that c = 20, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 97,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = p + 9 to v, which gives v = p + 27.\n2. Substitute p = a + 15 to v, which gives v = a + 42.\n3. Substitute a = w + 20 to v, which gives v = w + 62.\n4. Substitute w = d + 12 to v, which gives v = d + 74.\n5. Substitute d = c + 3 to v, which gives v = c + 77.\n6. Substitute c = 20 to v, which gives v = 97.\n\nThus, the final answer is v = \\boxed{97}.",
"index": 4432,
"question": "Suppose a collection of variables is related by the following definitions: w = d + 12; a = w + 20; y = c + 20; t = r + 15; v = z + 18; n = l + 18; z = p + 9; p = a + 15; l = y + 11; k = n + 5; c = 20; r = k + 8; d = c + 3. Given that c = 20, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"a": "m + 5", "y": "a + 18", "x": "y + 11", "w": "x + 10", "k": "w + 16", "u": "k + 3", "n": "m + 6", "c": "n + 11", "g": "c + 10", "o": "g + 13", "i": "o + 4", "h": "i + 5", "m": 11}, "premises": {"m": 11}, "target": "u"}, "answer": {"steps": [["k", "w + 16", "w + 19"], ["w", "x + 10", "x + 29"], ["x", "y + 11", "y + 40"], ["y", "a + 18", "a + 58"], ["a", "m + 5", "m + 63"], ["m", 11, "74"]], "target_var_name": "u", "target_value": 74, "value_dict": {"m": 11}, "is_reverse": true}}
| 4,433
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = c + 10; x = y + 11; w = x + 10; h = i + 5; c = n + 11; u = k + 3; k = w + 16; a = m + 5; m = 11; i = o + 4; n = m + 6; y = a + 18; o = g + 13. If m = 11, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = w + 16 to u, which gives u = w + 19.\n2. Substitute w = x + 10 to u, which gives u = x + 29.\n3. Substitute x = y + 11 to u, which gives u = y + 40.\n4. Substitute y = a + 18 to u, which gives u = a + 58.\n5. Substitute a = m + 5 to u, which gives u = m + 63.\n6. Substitute m = 11 to u, which gives u = 74.\n\nThus, the final answer is u = \\boxed{74}.",
"index": 4433,
"question": "Consider a system of variables where each variable is defined as follows: g = c + 10; x = y + 11; w = x + 10; h = i + 5; c = n + 11; u = k + 3; k = w + 16; a = m + 5; m = 11; i = o + 4; n = m + 6; y = a + 18; o = g + 13. If m = 11, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"x": "g + 3", "s": "x + 18", "e": "s + 16", "u": "e + 8", "h": "u + 17", "i": "h + 19", "p": "g + 2", "j": "p + 10", "l": "j + 10", "f": "l + 6", "o": "f + 19", "d": "o + 3", "g": 15}, "premises": {"g": 15}, "target": "i"}, "answer": {"steps": [["h", "u + 17", "u + 36"], ["u", "e + 8", "e + 44"], ["e", "s + 16", "s + 60"], ["s", "x + 18", "x + 78"], ["x", "g + 3", "g + 81"], ["g", 15, "96"]], "target_var_name": "i", "target_value": 96, "value_dict": {"g": 15}, "is_reverse": true}}
| 4,434
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = p + 10; f = l + 6; l = j + 10; x = g + 3; s = x + 18; i = h + 19; g = 15; d = o + 3; h = u + 17; p = g + 2; e = s + 16; u = e + 8; o = f + 19. Given that g = 15, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 96,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = u + 17 to i, which gives i = u + 36.\n2. Substitute u = e + 8 to i, which gives i = e + 44.\n3. Substitute e = s + 16 to i, which gives i = s + 60.\n4. Substitute s = x + 18 to i, which gives i = x + 78.\n5. Substitute x = g + 3 to i, which gives i = g + 81.\n6. Substitute g = 15 to i, which gives i = 96.\n\nThus, the final answer is i = \\boxed{96}.",
"index": 4434,
"question": "Suppose a collection of variables is related by the following definitions: j = p + 10; f = l + 6; l = j + 10; x = g + 3; s = x + 18; i = h + 19; g = 15; d = o + 3; h = u + 17; p = g + 2; e = s + 16; u = e + 8; o = f + 19. Given that g = 15, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"y": "t + 9", "p": "y + 9", "b": "p + 12", "r": "b + 15", "g": "r + 15", "v": "g + 15", "a": "t + 19", "n": "a + 19", "s": "n + 5", "c": "s + 6", "z": "c + 12", "d": "z + 3", "t": 6}, "premises": {"t": 6}, "target": "v"}, "answer": {"steps": [["g", "r + 15", "r + 30"], ["r", "b + 15", "b + 45"], ["b", "p + 12", "p + 57"], ["p", "y + 9", "y + 66"], ["y", "t + 9", "t + 75"], ["t", 6, "81"]], "target_var_name": "v", "target_value": 81, "value_dict": {"t": 6}, "is_reverse": true}}
| 4,435
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = z + 3; z = c + 12; a = t + 19; v = g + 15; g = r + 15; t = 6; c = s + 6; b = p + 12; r = b + 15; s = n + 5; p = y + 9; y = t + 9; n = a + 19. If t = 6, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = r + 15 to v, which gives v = r + 30.\n2. Substitute r = b + 15 to v, which gives v = b + 45.\n3. Substitute b = p + 12 to v, which gives v = p + 57.\n4. Substitute p = y + 9 to v, which gives v = y + 66.\n5. Substitute y = t + 9 to v, which gives v = t + 75.\n6. Substitute t = 6 to v, which gives v = 81.\n\nThus, the final answer is v = \\boxed{81}.",
"index": 4435,
"question": "Consider a system of variables where each variable is defined as follows: d = z + 3; z = c + 12; a = t + 19; v = g + 15; g = r + 15; t = 6; c = s + 6; b = p + 12; r = b + 15; s = n + 5; p = y + 9; y = t + 9; n = a + 19. If t = 6, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"t": "p + 2", "w": "t + 12", "k": "w + 9", "b": "k + 20", "o": "b + 17", "f": "o + 1", "m": "p + 16", "e": "m + 13", "x": "e + 11", "d": "x + 11", "u": "d + 16", "c": "u + 19", "p": 9}, "premises": {"p": 9}, "target": "f"}, "answer": {"steps": [["o", "b + 17", "b + 18"], ["b", "k + 20", "k + 38"], ["k", "w + 9", "w + 47"], ["w", "t + 12", "t + 59"], ["t", "p + 2", "p + 61"], ["p", 9, "70"]], "target_var_name": "f", "target_value": 70, "value_dict": {"p": 9}, "is_reverse": true}}
| 4,436
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = e + 11; u = d + 16; p = 9; m = p + 16; t = p + 2; o = b + 17; k = w + 9; c = u + 19; e = m + 13; w = t + 12; f = o + 1; d = x + 11; b = k + 20. If p = 9, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = b + 17 to f, which gives f = b + 18.\n2. Substitute b = k + 20 to f, which gives f = k + 38.\n3. Substitute k = w + 9 to f, which gives f = w + 47.\n4. Substitute w = t + 12 to f, which gives f = t + 59.\n5. Substitute t = p + 2 to f, which gives f = p + 61.\n6. Substitute p = 9 to f, which gives f = 70.\n\nThus, the final answer is f = \\boxed{70}.",
"index": 4436,
"question": "Consider a system of variables where each variable is defined as follows: x = e + 11; u = d + 16; p = 9; m = p + 16; t = p + 2; o = b + 17; k = w + 9; c = u + 19; e = m + 13; w = t + 12; f = o + 1; d = x + 11; b = k + 20. If p = 9, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"k": "z + 18", "e": "k + 4", "x": "e + 19", "l": "x + 4", "w": "l + 16", "f": "w + 13", "i": "z + 5", "q": "i + 10", "n": "q + 3", "j": "n + 15", "u": "j + 12", "p": "u + 16", "z": 5}, "premises": {"z": 5}, "target": "f"}, "answer": {"steps": [["w", "l + 16", "l + 29"], ["l", "x + 4", "x + 33"], ["x", "e + 19", "e + 52"], ["e", "k + 4", "k + 56"], ["k", "z + 18", "z + 74"], ["z", 5, "79"]], "target_var_name": "f", "target_value": 79, "value_dict": {"z": 5}, "is_reverse": true}}
| 4,437
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = k + 4; f = w + 13; q = i + 10; i = z + 5; j = n + 15; x = e + 19; z = 5; k = z + 18; p = u + 16; n = q + 3; u = j + 12; l = x + 4; w = l + 16. Given that z = 5, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = l + 16 to f, which gives f = l + 29.\n2. Substitute l = x + 4 to f, which gives f = x + 33.\n3. Substitute x = e + 19 to f, which gives f = e + 52.\n4. Substitute e = k + 4 to f, which gives f = k + 56.\n5. Substitute k = z + 18 to f, which gives f = z + 74.\n6. Substitute z = 5 to f, which gives f = 79.\n\nThus, the final answer is f = \\boxed{79}.",
"index": 4437,
"question": "Suppose a collection of variables is related by the following definitions: e = k + 4; f = w + 13; q = i + 10; i = z + 5; j = n + 15; x = e + 19; z = 5; k = z + 18; p = u + 16; n = q + 3; u = j + 12; l = x + 4; w = l + 16. Given that z = 5, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"d": "o + 16", "r": "d + 14", "t": "r + 11", "k": "t + 15", "s": "k + 10", "l": "s + 16", "v": "o + 19", "e": "v + 15", "x": "e + 5", "h": "x + 18", "q": "h + 12", "y": "q + 6", "o": 11}, "premises": {"o": 11}, "target": "l"}, "answer": {"steps": [["s", "k + 10", "k + 26"], ["k", "t + 15", "t + 41"], ["t", "r + 11", "r + 52"], ["r", "d + 14", "d + 66"], ["d", "o + 16", "o + 82"], ["o", 11, "93"]], "target_var_name": "l", "target_value": 93, "value_dict": {"o": 11}, "is_reverse": true}}
| 4,438
| 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 = v + 15; l = s + 16; s = k + 10; v = o + 19; h = x + 18; k = t + 15; x = e + 5; y = q + 6; d = o + 16; q = h + 12; t = r + 11; o = 11; r = d + 14. If o = 11, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = k + 10 to l, which gives l = k + 26.\n2. Substitute k = t + 15 to l, which gives l = t + 41.\n3. Substitute t = r + 11 to l, which gives l = r + 52.\n4. Substitute r = d + 14 to l, which gives l = d + 66.\n5. Substitute d = o + 16 to l, which gives l = o + 82.\n6. Substitute o = 11 to l, which gives l = 93.\n\nThus, the final answer is l = \\boxed{93}.",
"index": 4438,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = v + 15; l = s + 16; s = k + 10; v = o + 19; h = x + 18; k = t + 15; x = e + 5; y = q + 6; d = o + 16; q = h + 12; t = r + 11; o = 11; r = d + 14. If o = 11, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"c": "y + 12", "q": "c + 8", "b": "q + 11", "i": "b + 16", "l": "i + 6", "v": "l + 2", "j": "y + 4", "x": "j + 11", "k": "x + 8", "z": "k + 5", "g": "z + 9", "w": "g + 17", "y": 8}, "premises": {"y": 8}, "target": "v"}, "answer": {"steps": [["l", "i + 6", "i + 8"], ["i", "b + 16", "b + 24"], ["b", "q + 11", "q + 35"], ["q", "c + 8", "c + 43"], ["c", "y + 12", "y + 55"], ["y", 8, "63"]], "target_var_name": "v", "target_value": 63, "value_dict": {"y": 8}, "is_reverse": true}}
| 4,439
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = j + 11; y = 8; b = q + 11; c = y + 12; q = c + 8; k = x + 8; l = i + 6; w = g + 17; z = k + 5; g = z + 9; j = y + 4; i = b + 16; v = l + 2. Given that y = 8, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = i + 6 to v, which gives v = i + 8.\n2. Substitute i = b + 16 to v, which gives v = b + 24.\n3. Substitute b = q + 11 to v, which gives v = q + 35.\n4. Substitute q = c + 8 to v, which gives v = c + 43.\n5. Substitute c = y + 12 to v, which gives v = y + 55.\n6. Substitute y = 8 to v, which gives v = 63.\n\nThus, the final answer is v = \\boxed{63}.",
"index": 4439,
"question": "Suppose a collection of variables is related by the following definitions: x = j + 11; y = 8; b = q + 11; c = y + 12; q = c + 8; k = x + 8; l = i + 6; w = g + 17; z = k + 5; g = z + 9; j = y + 4; i = b + 16; v = l + 2. Given that y = 8, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"v": "m + 2", "r": "v + 18", "i": "r + 3", "p": "i + 16", "l": "p + 2", "b": "l + 13", "q": "m + 17", "u": "q + 6", "f": "u + 7", "d": "f + 16", "h": "d + 15", "j": "h + 8", "m": 6}, "premises": {"m": 6}, "target": "b"}, "answer": {"steps": [["l", "p + 2", "p + 15"], ["p", "i + 16", "i + 31"], ["i", "r + 3", "r + 34"], ["r", "v + 18", "v + 52"], ["v", "m + 2", "m + 54"], ["m", 6, "60"]], "target_var_name": "b", "target_value": 60, "value_dict": {"m": 6}, "is_reverse": true}}
| 4,440
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = h + 8; r = v + 18; q = m + 17; m = 6; h = d + 15; u = q + 6; b = l + 13; f = u + 7; l = p + 2; d = f + 16; i = r + 3; p = i + 16; v = m + 2. Given that m = 6, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = p + 2 to b, which gives b = p + 15.\n2. Substitute p = i + 16 to b, which gives b = i + 31.\n3. Substitute i = r + 3 to b, which gives b = r + 34.\n4. Substitute r = v + 18 to b, which gives b = v + 52.\n5. Substitute v = m + 2 to b, which gives b = m + 54.\n6. Substitute m = 6 to b, which gives b = 60.\n\nThus, the final answer is b = \\boxed{60}.",
"index": 4440,
"question": "Suppose a collection of variables is related by the following definitions: j = h + 8; r = v + 18; q = m + 17; m = 6; h = d + 15; u = q + 6; b = l + 13; f = u + 7; l = p + 2; d = f + 16; i = r + 3; p = i + 16; v = m + 2. Given that m = 6, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"t": "c + 20", "o": "t + 14", "e": "o + 12", "k": "e + 4", "d": "k + 5", "v": "d + 13", "y": "c + 17", "w": "y + 12", "n": "w + 4", "x": "n + 16", "b": "x + 6", "l": "b + 7", "c": 17}, "premises": {"c": 17}, "target": "v"}, "answer": {"steps": [["d", "k + 5", "k + 18"], ["k", "e + 4", "e + 22"], ["e", "o + 12", "o + 34"], ["o", "t + 14", "t + 48"], ["t", "c + 20", "c + 68"], ["c", 17, "85"]], "target_var_name": "v", "target_value": 85, "value_dict": {"c": 17}, "is_reverse": true}}
| 4,441
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = b + 7; x = n + 16; k = e + 4; t = c + 20; w = y + 12; y = c + 17; n = w + 4; b = x + 6; v = d + 13; o = t + 14; e = o + 12; c = 17; d = k + 5. If c = 17, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = k + 5 to v, which gives v = k + 18.\n2. Substitute k = e + 4 to v, which gives v = e + 22.\n3. Substitute e = o + 12 to v, which gives v = o + 34.\n4. Substitute o = t + 14 to v, which gives v = t + 48.\n5. Substitute t = c + 20 to v, which gives v = c + 68.\n6. Substitute c = 17 to v, which gives v = 85.\n\nThus, the final answer is v = \\boxed{85}.",
"index": 4441,
"question": "Consider a system of variables where each variable is defined as follows: l = b + 7; x = n + 16; k = e + 4; t = c + 20; w = y + 12; y = c + 17; n = w + 4; b = x + 6; v = d + 13; o = t + 14; e = o + 12; c = 17; d = k + 5. If c = 17, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"c": "t + 14", "z": "c + 15", "v": "z + 16", "j": "v + 9", "l": "j + 4", "x": "l + 11", "f": "t + 20", "e": "f + 6", "u": "e + 20", "b": "u + 15", "o": "b + 4", "w": "o + 17", "t": 19}, "premises": {"t": 19}, "target": "x"}, "answer": {"steps": [["l", "j + 4", "j + 15"], ["j", "v + 9", "v + 24"], ["v", "z + 16", "z + 40"], ["z", "c + 15", "c + 55"], ["c", "t + 14", "t + 69"], ["t", 19, "88"]], "target_var_name": "x", "target_value": 88, "value_dict": {"t": 19}, "is_reverse": true}}
| 4,442
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = u + 15; l = j + 4; t = 19; x = l + 11; o = b + 4; e = f + 6; j = v + 9; f = t + 20; u = e + 20; v = z + 16; z = c + 15; w = o + 17; c = t + 14. If t = 19, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = j + 4 to x, which gives x = j + 15.\n2. Substitute j = v + 9 to x, which gives x = v + 24.\n3. Substitute v = z + 16 to x, which gives x = z + 40.\n4. Substitute z = c + 15 to x, which gives x = c + 55.\n5. Substitute c = t + 14 to x, which gives x = t + 69.\n6. Substitute t = 19 to x, which gives x = 88.\n\nThus, the final answer is x = \\boxed{88}.",
"index": 4442,
"question": "Consider a system of variables where each variable is defined as follows: b = u + 15; l = j + 4; t = 19; x = l + 11; o = b + 4; e = f + 6; j = v + 9; f = t + 20; u = e + 20; v = z + 16; z = c + 15; w = o + 17; c = t + 14. If t = 19, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"d": "e + 10", "a": "d + 13", "v": "a + 17", "b": "v + 1", "q": "b + 8", "t": "q + 1", "z": "e + 18", "g": "z + 11", "o": "g + 15", "f": "o + 15", "p": "f + 7", "w": "p + 4", "e": 6}, "premises": {"e": 6}, "target": "t"}, "answer": {"steps": [["q", "b + 8", "b + 9"], ["b", "v + 1", "v + 10"], ["v", "a + 17", "a + 27"], ["a", "d + 13", "d + 40"], ["d", "e + 10", "e + 50"], ["e", 6, "56"]], "target_var_name": "t", "target_value": 56, "value_dict": {"e": 6}, "is_reverse": true}}
| 4,443
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = o + 15; e = 6; q = b + 8; g = z + 11; p = f + 7; b = v + 1; t = q + 1; z = e + 18; d = e + 10; w = p + 4; v = a + 17; o = g + 15; a = d + 13. If e = 6, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = b + 8 to t, which gives t = b + 9.\n2. Substitute b = v + 1 to t, which gives t = v + 10.\n3. Substitute v = a + 17 to t, which gives t = a + 27.\n4. Substitute a = d + 13 to t, which gives t = d + 40.\n5. Substitute d = e + 10 to t, which gives t = e + 50.\n6. Substitute e = 6 to t, which gives t = 56.\n\nThus, the final answer is t = \\boxed{56}.",
"index": 4443,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = o + 15; e = 6; q = b + 8; g = z + 11; p = f + 7; b = v + 1; t = q + 1; z = e + 18; d = e + 10; w = p + 4; v = a + 17; o = g + 15; a = d + 13. If e = 6, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"s": "v + 20", "q": "s + 15", "f": "q + 13", "p": "f + 6", "y": "p + 2", "m": "y + 13", "h": "v + 8", "x": "h + 2", "d": "x + 5", "u": "d + 14", "e": "u + 16", "l": "e + 19", "v": 20}, "premises": {"v": 20}, "target": "m"}, "answer": {"steps": [["y", "p + 2", "p + 15"], ["p", "f + 6", "f + 21"], ["f", "q + 13", "q + 34"], ["q", "s + 15", "s + 49"], ["s", "v + 20", "v + 69"], ["v", 20, "89"]], "target_var_name": "m", "target_value": 89, "value_dict": {"v": 20}, "is_reverse": true}}
| 4,444
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = y + 13; x = h + 2; l = e + 19; e = u + 16; d = x + 5; y = p + 2; s = v + 20; h = v + 8; f = q + 13; q = s + 15; u = d + 14; p = f + 6; v = 20. If v = 20, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = p + 2 to m, which gives m = p + 15.\n2. Substitute p = f + 6 to m, which gives m = f + 21.\n3. Substitute f = q + 13 to m, which gives m = q + 34.\n4. Substitute q = s + 15 to m, which gives m = s + 49.\n5. Substitute s = v + 20 to m, which gives m = v + 69.\n6. Substitute v = 20 to m, which gives m = 89.\n\nThus, the final answer is m = \\boxed{89}.",
"index": 4444,
"question": "Consider a system of variables where each variable is defined as follows: m = y + 13; x = h + 2; l = e + 19; e = u + 16; d = x + 5; y = p + 2; s = v + 20; h = v + 8; f = q + 13; q = s + 15; u = d + 14; p = f + 6; v = 20. If v = 20, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"z": "k + 10", "b": "z + 10", "h": "b + 10", "o": "h + 12", "w": "o + 12", "q": "w + 19", "r": "k + 6", "l": "r + 18", "u": "l + 20", "j": "u + 17", "n": "j + 16", "f": "n + 9", "k": 6}, "premises": {"k": 6}, "target": "q"}, "answer": {"steps": [["w", "o + 12", "o + 31"], ["o", "h + 12", "h + 43"], ["h", "b + 10", "b + 53"], ["b", "z + 10", "z + 63"], ["z", "k + 10", "k + 73"], ["k", 6, "79"]], "target_var_name": "q", "target_value": 79, "value_dict": {"k": 6}, "is_reverse": true}}
| 4,445
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = k + 6; u = l + 20; l = r + 18; w = o + 12; z = k + 10; f = n + 9; o = h + 12; n = j + 16; q = w + 19; h = b + 10; j = u + 17; b = z + 10; k = 6. If k = 6, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = o + 12 to q, which gives q = o + 31.\n2. Substitute o = h + 12 to q, which gives q = h + 43.\n3. Substitute h = b + 10 to q, which gives q = b + 53.\n4. Substitute b = z + 10 to q, which gives q = z + 63.\n5. Substitute z = k + 10 to q, which gives q = k + 73.\n6. Substitute k = 6 to q, which gives q = 79.\n\nThus, the final answer is q = \\boxed{79}.",
"index": 4445,
"question": "Consider a system of variables where each variable is defined as follows: r = k + 6; u = l + 20; l = r + 18; w = o + 12; z = k + 10; f = n + 9; o = h + 12; n = j + 16; q = w + 19; h = b + 10; j = u + 17; b = z + 10; k = 6. If k = 6, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"i": "f + 12", "q": "i + 2", "d": "q + 19", "p": "d + 13", "v": "p + 10", "e": "v + 19", "x": "f + 5", "t": "x + 2", "y": "t + 9", "r": "y + 5", "g": "r + 4", "l": "g + 6", "f": 19}, "premises": {"f": 19}, "target": "e"}, "answer": {"steps": [["v", "p + 10", "p + 29"], ["p", "d + 13", "d + 42"], ["d", "q + 19", "q + 61"], ["q", "i + 2", "i + 63"], ["i", "f + 12", "f + 75"], ["f", 19, "94"]], "target_var_name": "e", "target_value": 94, "value_dict": {"f": 19}, "is_reverse": true}}
| 4,446
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = v + 19; p = d + 13; g = r + 4; x = f + 5; l = g + 6; q = i + 2; f = 19; r = y + 5; d = q + 19; v = p + 10; i = f + 12; y = t + 9; t = x + 2. Given that f = 19, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = p + 10 to e, which gives e = p + 29.\n2. Substitute p = d + 13 to e, which gives e = d + 42.\n3. Substitute d = q + 19 to e, which gives e = q + 61.\n4. Substitute q = i + 2 to e, which gives e = i + 63.\n5. Substitute i = f + 12 to e, which gives e = f + 75.\n6. Substitute f = 19 to e, which gives e = 94.\n\nThus, the final answer is e = \\boxed{94}.",
"index": 4446,
"question": "Suppose a collection of variables is related by the following definitions: e = v + 19; p = d + 13; g = r + 4; x = f + 5; l = g + 6; q = i + 2; f = 19; r = y + 5; d = q + 19; v = p + 10; i = f + 12; y = t + 9; t = x + 2. Given that f = 19, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"e": "a + 10", "n": "e + 7", "i": "n + 12", "x": "i + 12", "y": "x + 2", "j": "y + 13", "h": "a + 20", "l": "h + 1", "d": "l + 6", "p": "d + 17", "t": "p + 15", "g": "t + 3", "a": 4}, "premises": {"a": 4}, "target": "j"}, "answer": {"steps": [["y", "x + 2", "x + 15"], ["x", "i + 12", "i + 27"], ["i", "n + 12", "n + 39"], ["n", "e + 7", "e + 46"], ["e", "a + 10", "a + 56"], ["a", 4, "60"]], "target_var_name": "j", "target_value": 60, "value_dict": {"a": 4}, "is_reverse": true}}
| 4,447
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = i + 12; p = d + 17; i = n + 12; y = x + 2; l = h + 1; d = l + 6; e = a + 10; a = 4; g = t + 3; h = a + 20; t = p + 15; n = e + 7; j = y + 13. Given that a = 4, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = x + 2 to j, which gives j = x + 15.\n2. Substitute x = i + 12 to j, which gives j = i + 27.\n3. Substitute i = n + 12 to j, which gives j = n + 39.\n4. Substitute n = e + 7 to j, which gives j = e + 46.\n5. Substitute e = a + 10 to j, which gives j = a + 56.\n6. Substitute a = 4 to j, which gives j = 60.\n\nThus, the final answer is j = \\boxed{60}.",
"index": 4447,
"question": "Suppose a collection of variables is related by the following definitions: x = i + 12; p = d + 17; i = n + 12; y = x + 2; l = h + 1; d = l + 6; e = a + 10; a = 4; g = t + 3; h = a + 20; t = p + 15; n = e + 7; j = y + 13. Given that a = 4, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"p": "a + 5", "j": "p + 2", "n": "j + 11", "b": "n + 10", "v": "b + 12", "t": "v + 6", "r": "a + 3", "c": "r + 7", "d": "c + 19", "x": "d + 19", "i": "x + 3", "m": "i + 16", "a": 4}, "premises": {"a": 4}, "target": "t"}, "answer": {"steps": [["v", "b + 12", "b + 18"], ["b", "n + 10", "n + 28"], ["n", "j + 11", "j + 39"], ["j", "p + 2", "p + 41"], ["p", "a + 5", "a + 46"], ["a", 4, "50"]], "target_var_name": "t", "target_value": 50, "value_dict": {"a": 4}, "is_reverse": true}}
| 4,448
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = x + 3; t = v + 6; a = 4; d = c + 19; p = a + 5; x = d + 19; n = j + 11; c = r + 7; b = n + 10; j = p + 2; m = i + 16; r = a + 3; v = b + 12. Given that a = 4, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 50,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = b + 12 to t, which gives t = b + 18.\n2. Substitute b = n + 10 to t, which gives t = n + 28.\n3. Substitute n = j + 11 to t, which gives t = j + 39.\n4. Substitute j = p + 2 to t, which gives t = p + 41.\n5. Substitute p = a + 5 to t, which gives t = a + 46.\n6. Substitute a = 4 to t, which gives t = 50.\n\nThus, the final answer is t = \\boxed{50}.",
"index": 4448,
"question": "Suppose a collection of variables is related by the following definitions: i = x + 3; t = v + 6; a = 4; d = c + 19; p = a + 5; x = d + 19; n = j + 11; c = r + 7; b = n + 10; j = p + 2; m = i + 16; r = a + 3; v = b + 12. Given that a = 4, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"n": "d + 19", "k": "n + 2", "a": "k + 11", "l": "a + 5", "s": "l + 20", "h": "s + 6", "b": "d + 13", "v": "b + 17", "w": "v + 11", "i": "w + 9", "e": "i + 6", "p": "e + 9", "d": 15}, "premises": {"d": 15}, "target": "h"}, "answer": {"steps": [["s", "l + 20", "l + 26"], ["l", "a + 5", "a + 31"], ["a", "k + 11", "k + 42"], ["k", "n + 2", "n + 44"], ["n", "d + 19", "d + 63"], ["d", 15, "78"]], "target_var_name": "h", "target_value": 78, "value_dict": {"d": 15}, "is_reverse": true}}
| 4,449
| 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 = a + 5; i = w + 9; w = v + 11; s = l + 20; b = d + 13; e = i + 6; k = n + 2; v = b + 17; h = s + 6; d = 15; a = k + 11; n = d + 19; p = e + 9. If d = 15, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = l + 20 to h, which gives h = l + 26.\n2. Substitute l = a + 5 to h, which gives h = a + 31.\n3. Substitute a = k + 11 to h, which gives h = k + 42.\n4. Substitute k = n + 2 to h, which gives h = n + 44.\n5. Substitute n = d + 19 to h, which gives h = d + 63.\n6. Substitute d = 15 to h, which gives h = 78.\n\nThus, the final answer is h = \\boxed{78}.",
"index": 4449,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = a + 5; i = w + 9; w = v + 11; s = l + 20; b = d + 13; e = i + 6; k = n + 2; v = b + 17; h = s + 6; d = 15; a = k + 11; n = d + 19; p = e + 9. If d = 15, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"k": "y + 14", "h": "k + 2", "i": "h + 2", "a": "i + 15", "r": "a + 5", "x": "r + 16", "z": "y + 18", "g": "z + 11", "j": "g + 10", "q": "j + 13", "s": "q + 10", "o": "s + 4", "y": 6}, "premises": {"y": 6}, "target": "x"}, "answer": {"steps": [["r", "a + 5", "a + 21"], ["a", "i + 15", "i + 36"], ["i", "h + 2", "h + 38"], ["h", "k + 2", "k + 40"], ["k", "y + 14", "y + 54"], ["y", 6, "60"]], "target_var_name": "x", "target_value": 60, "value_dict": {"y": 6}, "is_reverse": true}}
| 4,450
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = h + 2; z = y + 18; s = q + 10; j = g + 10; r = a + 5; o = s + 4; h = k + 2; k = y + 14; q = j + 13; y = 6; a = i + 15; g = z + 11; x = r + 16. If y = 6, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = a + 5 to x, which gives x = a + 21.\n2. Substitute a = i + 15 to x, which gives x = i + 36.\n3. Substitute i = h + 2 to x, which gives x = h + 38.\n4. Substitute h = k + 2 to x, which gives x = k + 40.\n5. Substitute k = y + 14 to x, which gives x = y + 54.\n6. Substitute y = 6 to x, which gives x = 60.\n\nThus, the final answer is x = \\boxed{60}.",
"index": 4450,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = h + 2; z = y + 18; s = q + 10; j = g + 10; r = a + 5; o = s + 4; h = k + 2; k = y + 14; q = j + 13; y = 6; a = i + 15; g = z + 11; x = r + 16. If y = 6, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"h": "e + 15", "g": "h + 15", "x": "g + 4", "q": "x + 16", "s": "q + 16", "l": "s + 16", "a": "e + 7", "z": "a + 20", "o": "z + 9", "t": "o + 5", "r": "t + 13", "n": "r + 18", "e": 16}, "premises": {"e": 16}, "target": "l"}, "answer": {"steps": [["s", "q + 16", "q + 32"], ["q", "x + 16", "x + 48"], ["x", "g + 4", "g + 52"], ["g", "h + 15", "h + 67"], ["h", "e + 15", "e + 82"], ["e", 16, "98"]], "target_var_name": "l", "target_value": 98, "value_dict": {"e": 16}, "is_reverse": true}}
| 4,451
| 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 = g + 4; t = o + 5; r = t + 13; z = a + 20; q = x + 16; g = h + 15; s = q + 16; h = e + 15; n = r + 18; o = z + 9; e = 16; l = s + 16; a = e + 7. If e = 16, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 98,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = q + 16 to l, which gives l = q + 32.\n2. Substitute q = x + 16 to l, which gives l = x + 48.\n3. Substitute x = g + 4 to l, which gives l = g + 52.\n4. Substitute g = h + 15 to l, which gives l = h + 67.\n5. Substitute h = e + 15 to l, which gives l = e + 82.\n6. Substitute e = 16 to l, which gives l = 98.\n\nThus, the final answer is l = \\boxed{98}.",
"index": 4451,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = g + 4; t = o + 5; r = t + 13; z = a + 20; q = x + 16; g = h + 15; s = q + 16; h = e + 15; n = r + 18; o = z + 9; e = 16; l = s + 16; a = e + 7. If e = 16, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"x": "h + 20", "p": "x + 20", "f": "p + 17", "c": "f + 12", "a": "c + 6", "t": "a + 20", "z": "h + 19", "s": "z + 10", "e": "s + 19", "v": "e + 13", "o": "v + 7", "q": "o + 3", "h": 9}, "premises": {"h": 9}, "target": "t"}, "answer": {"steps": [["a", "c + 6", "c + 26"], ["c", "f + 12", "f + 38"], ["f", "p + 17", "p + 55"], ["p", "x + 20", "x + 75"], ["x", "h + 20", "h + 95"], ["h", 9, "104"]], "target_var_name": "t", "target_value": 104, "value_dict": {"h": 9}, "is_reverse": true}}
| 4,452
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = h + 20; a = c + 6; c = f + 12; o = v + 7; v = e + 13; e = s + 19; p = x + 20; h = 9; z = h + 19; f = p + 17; t = a + 20; s = z + 10; q = o + 3. Given that h = 9, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 104,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = c + 6 to t, which gives t = c + 26.\n2. Substitute c = f + 12 to t, which gives t = f + 38.\n3. Substitute f = p + 17 to t, which gives t = p + 55.\n4. Substitute p = x + 20 to t, which gives t = x + 75.\n5. Substitute x = h + 20 to t, which gives t = h + 95.\n6. Substitute h = 9 to t, which gives t = 104.\n\nThus, the final answer is t = \\boxed{104}.",
"index": 4452,
"question": "Suppose a collection of variables is related by the following definitions: x = h + 20; a = c + 6; c = f + 12; o = v + 7; v = e + 13; e = s + 19; p = x + 20; h = 9; z = h + 19; f = p + 17; t = a + 20; s = z + 10; q = o + 3. Given that h = 9, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"d": "e + 2", "i": "d + 12", "p": "i + 10", "l": "p + 8", "s": "l + 3", "u": "s + 19", "f": "e + 2", "g": "f + 12", "r": "g + 18", "v": "r + 14", "x": "v + 18", "c": "x + 10", "e": 9}, "premises": {"e": 9}, "target": "u"}, "answer": {"steps": [["s", "l + 3", "l + 22"], ["l", "p + 8", "p + 30"], ["p", "i + 10", "i + 40"], ["i", "d + 12", "d + 52"], ["d", "e + 2", "e + 54"], ["e", 9, "63"]], "target_var_name": "u", "target_value": 63, "value_dict": {"e": 9}, "is_reverse": true}}
| 4,453
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = s + 19; g = f + 12; v = r + 14; s = l + 3; e = 9; l = p + 8; p = i + 10; r = g + 18; f = e + 2; i = d + 12; d = e + 2; x = v + 18; c = x + 10. If e = 9, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = l + 3 to u, which gives u = l + 22.\n2. Substitute l = p + 8 to u, which gives u = p + 30.\n3. Substitute p = i + 10 to u, which gives u = i + 40.\n4. Substitute i = d + 12 to u, which gives u = d + 52.\n5. Substitute d = e + 2 to u, which gives u = e + 54.\n6. Substitute e = 9 to u, which gives u = 63.\n\nThus, the final answer is u = \\boxed{63}.",
"index": 4453,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = s + 19; g = f + 12; v = r + 14; s = l + 3; e = 9; l = p + 8; p = i + 10; r = g + 18; f = e + 2; i = d + 12; d = e + 2; x = v + 18; c = x + 10. If e = 9, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"r": "w + 8", "k": "r + 13", "q": "k + 9", "a": "q + 4", "m": "a + 11", "i": "m + 16", "d": "w + 14", "v": "d + 16", "j": "v + 13", "x": "j + 2", "u": "x + 11", "l": "u + 8", "w": 4}, "premises": {"w": 4}, "target": "i"}, "answer": {"steps": [["m", "a + 11", "a + 27"], ["a", "q + 4", "q + 31"], ["q", "k + 9", "k + 40"], ["k", "r + 13", "r + 53"], ["r", "w + 8", "w + 61"], ["w", 4, "65"]], "target_var_name": "i", "target_value": 65, "value_dict": {"w": 4}, "is_reverse": true}}
| 4,454
| 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 = q + 4; k = r + 13; j = v + 13; d = w + 14; i = m + 16; l = u + 8; x = j + 2; v = d + 16; m = a + 11; u = x + 11; q = k + 9; r = w + 8; w = 4. If w = 4, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = a + 11 to i, which gives i = a + 27.\n2. Substitute a = q + 4 to i, which gives i = q + 31.\n3. Substitute q = k + 9 to i, which gives i = k + 40.\n4. Substitute k = r + 13 to i, which gives i = r + 53.\n5. Substitute r = w + 8 to i, which gives i = w + 61.\n6. Substitute w = 4 to i, which gives i = 65.\n\nThus, the final answer is i = \\boxed{65}.",
"index": 4454,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = q + 4; k = r + 13; j = v + 13; d = w + 14; i = m + 16; l = u + 8; x = j + 2; v = d + 16; m = a + 11; u = x + 11; q = k + 9; r = w + 8; w = 4. If w = 4, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"x": "g + 7", "u": "x + 1", "t": "u + 4", "y": "t + 5", "b": "y + 7", "m": "b + 18", "w": "g + 1", "l": "w + 6", "n": "l + 20", "j": "n + 4", "p": "j + 12", "f": "p + 17", "g": 18}, "premises": {"g": 18}, "target": "m"}, "answer": {"steps": [["b", "y + 7", "y + 25"], ["y", "t + 5", "t + 30"], ["t", "u + 4", "u + 34"], ["u", "x + 1", "x + 35"], ["x", "g + 7", "g + 42"], ["g", 18, "60"]], "target_var_name": "m", "target_value": 60, "value_dict": {"g": 18}, "is_reverse": true}}
| 4,455
| 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 = l + 20; y = t + 5; u = x + 1; w = g + 1; l = w + 6; x = g + 7; t = u + 4; j = n + 4; b = y + 7; g = 18; f = p + 17; m = b + 18; p = j + 12. If g = 18, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = y + 7 to m, which gives m = y + 25.\n2. Substitute y = t + 5 to m, which gives m = t + 30.\n3. Substitute t = u + 4 to m, which gives m = u + 34.\n4. Substitute u = x + 1 to m, which gives m = x + 35.\n5. Substitute x = g + 7 to m, which gives m = g + 42.\n6. Substitute g = 18 to m, which gives m = 60.\n\nThus, the final answer is m = \\boxed{60}.",
"index": 4455,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = l + 20; y = t + 5; u = x + 1; w = g + 1; l = w + 6; x = g + 7; t = u + 4; j = n + 4; b = y + 7; g = 18; f = p + 17; m = b + 18; p = j + 12. If g = 18, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"w": "x + 5", "i": "w + 17", "k": "i + 11", "t": "k + 17", "f": "t + 2", "y": "f + 17", "n": "x + 9", "o": "n + 7", "u": "o + 16", "z": "u + 15", "e": "z + 11", "j": "e + 16", "x": 8}, "premises": {"x": 8}, "target": "y"}, "answer": {"steps": [["f", "t + 2", "t + 19"], ["t", "k + 17", "k + 36"], ["k", "i + 11", "i + 47"], ["i", "w + 17", "w + 64"], ["w", "x + 5", "x + 69"], ["x", 8, "77"]], "target_var_name": "y", "target_value": 77, "value_dict": {"x": 8}, "is_reverse": true}}
| 4,456
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = x + 5; t = k + 17; k = i + 11; y = f + 17; o = n + 7; x = 8; e = z + 11; u = o + 16; f = t + 2; i = w + 17; j = e + 16; z = u + 15; n = x + 9. If x = 8, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = t + 2 to y, which gives y = t + 19.\n2. Substitute t = k + 17 to y, which gives y = k + 36.\n3. Substitute k = i + 11 to y, which gives y = i + 47.\n4. Substitute i = w + 17 to y, which gives y = w + 64.\n5. Substitute w = x + 5 to y, which gives y = x + 69.\n6. Substitute x = 8 to y, which gives y = 77.\n\nThus, the final answer is y = \\boxed{77}.",
"index": 4456,
"question": "Consider a system of variables where each variable is defined as follows: w = x + 5; t = k + 17; k = i + 11; y = f + 17; o = n + 7; x = 8; e = z + 11; u = o + 16; f = t + 2; i = w + 17; j = e + 16; z = u + 15; n = x + 9. If x = 8, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"d": "m + 3", "l": "d + 1", "g": "l + 10", "j": "g + 11", "p": "j + 14", "x": "p + 5", "u": "m + 16", "o": "u + 13", "z": "o + 10", "v": "z + 17", "b": "v + 19", "e": "b + 14", "m": 1}, "premises": {"m": 1}, "target": "x"}, "answer": {"steps": [["p", "j + 14", "j + 19"], ["j", "g + 11", "g + 30"], ["g", "l + 10", "l + 40"], ["l", "d + 1", "d + 41"], ["d", "m + 3", "m + 44"], ["m", 1, "45"]], "target_var_name": "x", "target_value": 45, "value_dict": {"m": 1}, "is_reverse": true}}
| 4,457
| 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 + 5; g = l + 10; z = o + 10; u = m + 16; m = 1; v = z + 17; p = j + 14; b = v + 19; e = b + 14; j = g + 11; d = m + 3; l = d + 1; o = u + 13. If m = 1, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 45,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = j + 14 to x, which gives x = j + 19.\n2. Substitute j = g + 11 to x, which gives x = g + 30.\n3. Substitute g = l + 10 to x, which gives x = l + 40.\n4. Substitute l = d + 1 to x, which gives x = d + 41.\n5. Substitute d = m + 3 to x, which gives x = m + 44.\n6. Substitute m = 1 to x, which gives x = 45.\n\nThus, the final answer is x = \\boxed{45}.",
"index": 4457,
"question": "Consider a system of variables where each variable is defined as follows: x = p + 5; g = l + 10; z = o + 10; u = m + 16; m = 1; v = z + 17; p = j + 14; b = v + 19; e = b + 14; j = g + 11; d = m + 3; l = d + 1; o = u + 13. If m = 1, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"s": "o + 9", "t": "s + 10", "k": "t + 7", "r": "k + 9", "y": "r + 8", "b": "y + 18", "w": "o + 12", "u": "w + 11", "m": "u + 16", "a": "m + 6", "q": "a + 16", "l": "q + 15", "o": 13}, "premises": {"o": 13}, "target": "b"}, "answer": {"steps": [["y", "r + 8", "r + 26"], ["r", "k + 9", "k + 35"], ["k", "t + 7", "t + 42"], ["t", "s + 10", "s + 52"], ["s", "o + 9", "o + 61"], ["o", 13, "74"]], "target_var_name": "b", "target_value": 74, "value_dict": {"o": 13}, "is_reverse": true}}
| 4,458
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = a + 16; r = k + 9; l = q + 15; b = y + 18; s = o + 9; w = o + 12; t = s + 10; u = w + 11; y = r + 8; o = 13; m = u + 16; a = m + 6; k = t + 7. If o = 13, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = r + 8 to b, which gives b = r + 26.\n2. Substitute r = k + 9 to b, which gives b = k + 35.\n3. Substitute k = t + 7 to b, which gives b = t + 42.\n4. Substitute t = s + 10 to b, which gives b = s + 52.\n5. Substitute s = o + 9 to b, which gives b = o + 61.\n6. Substitute o = 13 to b, which gives b = 74.\n\nThus, the final answer is b = \\boxed{74}.",
"index": 4458,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = a + 16; r = k + 9; l = q + 15; b = y + 18; s = o + 9; w = o + 12; t = s + 10; u = w + 11; y = r + 8; o = 13; m = u + 16; a = m + 6; k = t + 7. If o = 13, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"e": "y + 12", "p": "e + 6", "f": "p + 2", "u": "f + 10", "d": "u + 7", "l": "d + 12", "n": "y + 17", "j": "n + 15", "r": "j + 2", "v": "r + 18", "o": "v + 19", "x": "o + 17", "y": 4}, "premises": {"y": 4}, "target": "l"}, "answer": {"steps": [["d", "u + 7", "u + 19"], ["u", "f + 10", "f + 29"], ["f", "p + 2", "p + 31"], ["p", "e + 6", "e + 37"], ["e", "y + 12", "y + 49"], ["y", 4, "53"]], "target_var_name": "l", "target_value": 53, "value_dict": {"y": 4}, "is_reverse": true}}
| 4,459
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = u + 7; j = n + 15; p = e + 6; u = f + 10; e = y + 12; f = p + 2; y = 4; x = o + 17; r = j + 2; n = y + 17; v = r + 18; l = d + 12; o = v + 19. If y = 4, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = u + 7 to l, which gives l = u + 19.\n2. Substitute u = f + 10 to l, which gives l = f + 29.\n3. Substitute f = p + 2 to l, which gives l = p + 31.\n4. Substitute p = e + 6 to l, which gives l = e + 37.\n5. Substitute e = y + 12 to l, which gives l = y + 49.\n6. Substitute y = 4 to l, which gives l = 53.\n\nThus, the final answer is l = \\boxed{53}.",
"index": 4459,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = u + 7; j = n + 15; p = e + 6; u = f + 10; e = y + 12; f = p + 2; y = 4; x = o + 17; r = j + 2; n = y + 17; v = r + 18; l = d + 12; o = v + 19. If y = 4, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"w": "o + 14", "q": "w + 2", "e": "q + 20", "c": "e + 10", "m": "c + 14", "r": "m + 13", "d": "o + 12", "p": "d + 18", "n": "p + 18", "l": "n + 13", "j": "l + 19", "z": "j + 7", "o": 16}, "premises": {"o": 16}, "target": "r"}, "answer": {"steps": [["m", "c + 14", "c + 27"], ["c", "e + 10", "e + 37"], ["e", "q + 20", "q + 57"], ["q", "w + 2", "w + 59"], ["w", "o + 14", "o + 73"], ["o", 16, "89"]], "target_var_name": "r", "target_value": 89, "value_dict": {"o": 16}, "is_reverse": true}}
| 4,460
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = j + 7; o = 16; e = q + 20; j = l + 19; n = p + 18; p = d + 18; c = e + 10; q = w + 2; d = o + 12; m = c + 14; r = m + 13; w = o + 14; l = n + 13. Given that o = 16, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = c + 14 to r, which gives r = c + 27.\n2. Substitute c = e + 10 to r, which gives r = e + 37.\n3. Substitute e = q + 20 to r, which gives r = q + 57.\n4. Substitute q = w + 2 to r, which gives r = w + 59.\n5. Substitute w = o + 14 to r, which gives r = o + 73.\n6. Substitute o = 16 to r, which gives r = 89.\n\nThus, the final answer is r = \\boxed{89}.",
"index": 4460,
"question": "Suppose a collection of variables is related by the following definitions: z = j + 7; o = 16; e = q + 20; j = l + 19; n = p + 18; p = d + 18; c = e + 10; q = w + 2; d = o + 12; m = c + 14; r = m + 13; w = o + 14; l = n + 13. Given that o = 16, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"w": "d + 18", "a": "w + 17", "r": "a + 9", "o": "r + 7", "s": "o + 12", "k": "s + 7", "l": "d + 9", "z": "l + 1", "c": "z + 15", "m": "c + 1", "q": "m + 2", "j": "q + 18", "d": 20}, "premises": {"d": 20}, "target": "k"}, "answer": {"steps": [["s", "o + 12", "o + 19"], ["o", "r + 7", "r + 26"], ["r", "a + 9", "a + 35"], ["a", "w + 17", "w + 52"], ["w", "d + 18", "d + 70"], ["d", 20, "90"]], "target_var_name": "k", "target_value": 90, "value_dict": {"d": 20}, "is_reverse": true}}
| 4,461
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = q + 18; d = 20; o = r + 7; r = a + 9; q = m + 2; s = o + 12; k = s + 7; z = l + 1; m = c + 1; l = d + 9; c = z + 15; w = d + 18; a = w + 17. Given that d = 20, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = o + 12 to k, which gives k = o + 19.\n2. Substitute o = r + 7 to k, which gives k = r + 26.\n3. Substitute r = a + 9 to k, which gives k = a + 35.\n4. Substitute a = w + 17 to k, which gives k = w + 52.\n5. Substitute w = d + 18 to k, which gives k = d + 70.\n6. Substitute d = 20 to k, which gives k = 90.\n\nThus, the final answer is k = \\boxed{90}.",
"index": 4461,
"question": "Suppose a collection of variables is related by the following definitions: j = q + 18; d = 20; o = r + 7; r = a + 9; q = m + 2; s = o + 12; k = s + 7; z = l + 1; m = c + 1; l = d + 9; c = z + 15; w = d + 18; a = w + 17. Given that d = 20, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"n": "o + 10", "b": "n + 1", "e": "b + 20", "c": "e + 8", "d": "c + 10", "m": "d + 13", "j": "o + 10", "s": "j + 18", "y": "s + 9", "p": "y + 4", "g": "p + 6", "k": "g + 11", "o": 9}, "premises": {"o": 9}, "target": "m"}, "answer": {"steps": [["d", "c + 10", "c + 23"], ["c", "e + 8", "e + 31"], ["e", "b + 20", "b + 51"], ["b", "n + 1", "n + 52"], ["n", "o + 10", "o + 62"], ["o", 9, "71"]], "target_var_name": "m", "target_value": 71, "value_dict": {"o": 9}, "is_reverse": true}}
| 4,462
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = j + 18; j = o + 10; k = g + 11; g = p + 6; n = o + 10; b = n + 1; y = s + 9; p = y + 4; c = e + 8; e = b + 20; m = d + 13; d = c + 10; o = 9. If o = 9, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = c + 10 to m, which gives m = c + 23.\n2. Substitute c = e + 8 to m, which gives m = e + 31.\n3. Substitute e = b + 20 to m, which gives m = b + 51.\n4. Substitute b = n + 1 to m, which gives m = n + 52.\n5. Substitute n = o + 10 to m, which gives m = o + 62.\n6. Substitute o = 9 to m, which gives m = 71.\n\nThus, the final answer is m = \\boxed{71}.",
"index": 4462,
"question": "Consider a system of variables where each variable is defined as follows: s = j + 18; j = o + 10; k = g + 11; g = p + 6; n = o + 10; b = n + 1; y = s + 9; p = y + 4; c = e + 8; e = b + 20; m = d + 13; d = c + 10; o = 9. If o = 9, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"w": "u + 8", "e": "w + 16", "a": "e + 3", "o": "a + 3", "g": "o + 15", "s": "g + 13", "z": "u + 7", "f": "z + 4", "d": "f + 19", "m": "d + 20", "p": "m + 12", "j": "p + 15", "u": 8}, "premises": {"u": 8}, "target": "s"}, "answer": {"steps": [["g", "o + 15", "o + 28"], ["o", "a + 3", "a + 31"], ["a", "e + 3", "e + 34"], ["e", "w + 16", "w + 50"], ["w", "u + 8", "u + 58"], ["u", 8, "66"]], "target_var_name": "s", "target_value": 66, "value_dict": {"u": 8}, "is_reverse": true}}
| 4,463
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = m + 12; j = p + 15; e = w + 16; z = u + 7; a = e + 3; f = z + 4; o = a + 3; w = u + 8; s = g + 13; u = 8; m = d + 20; g = o + 15; d = f + 19. If u = 8, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = o + 15 to s, which gives s = o + 28.\n2. Substitute o = a + 3 to s, which gives s = a + 31.\n3. Substitute a = e + 3 to s, which gives s = e + 34.\n4. Substitute e = w + 16 to s, which gives s = w + 50.\n5. Substitute w = u + 8 to s, which gives s = u + 58.\n6. Substitute u = 8 to s, which gives s = 66.\n\nThus, the final answer is s = \\boxed{66}.",
"index": 4463,
"question": "Consider a system of variables where each variable is defined as follows: p = m + 12; j = p + 15; e = w + 16; z = u + 7; a = e + 3; f = z + 4; o = a + 3; w = u + 8; s = g + 13; u = 8; m = d + 20; g = o + 15; d = f + 19. If u = 8, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"n": "s + 19", "h": "n + 20", "u": "h + 1", "o": "u + 10", "y": "o + 16", "k": "y + 13", "b": "s + 13", "a": "b + 16", "w": "a + 5", "r": "w + 6", "g": "r + 10", "i": "g + 3", "s": 5}, "premises": {"s": 5}, "target": "k"}, "answer": {"steps": [["y", "o + 16", "o + 29"], ["o", "u + 10", "u + 39"], ["u", "h + 1", "h + 40"], ["h", "n + 20", "n + 60"], ["n", "s + 19", "s + 79"], ["s", 5, "84"]], "target_var_name": "k", "target_value": 84, "value_dict": {"s": 5}, "is_reverse": true}}
| 4,464
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = o + 16; g = r + 10; r = w + 6; a = b + 16; o = u + 10; b = s + 13; s = 5; u = h + 1; w = a + 5; h = n + 20; k = y + 13; n = s + 19; i = g + 3. Given that s = 5, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = o + 16 to k, which gives k = o + 29.\n2. Substitute o = u + 10 to k, which gives k = u + 39.\n3. Substitute u = h + 1 to k, which gives k = h + 40.\n4. Substitute h = n + 20 to k, which gives k = n + 60.\n5. Substitute n = s + 19 to k, which gives k = s + 79.\n6. Substitute s = 5 to k, which gives k = 84.\n\nThus, the final answer is k = \\boxed{84}.",
"index": 4464,
"question": "Suppose a collection of variables is related by the following definitions: y = o + 16; g = r + 10; r = w + 6; a = b + 16; o = u + 10; b = s + 13; s = 5; u = h + 1; w = a + 5; h = n + 20; k = y + 13; n = s + 19; i = g + 3. Given that s = 5, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"x": "q + 12", "w": "x + 16", "b": "w + 10", "m": "b + 19", "t": "m + 15", "y": "t + 1", "i": "q + 18", "f": "i + 19", "k": "f + 17", "e": "k + 18", "o": "e + 20", "h": "o + 15", "q": 12}, "premises": {"q": 12}, "target": "y"}, "answer": {"steps": [["t", "m + 15", "m + 16"], ["m", "b + 19", "b + 35"], ["b", "w + 10", "w + 45"], ["w", "x + 16", "x + 61"], ["x", "q + 12", "q + 73"], ["q", 12, "85"]], "target_var_name": "y", "target_value": 85, "value_dict": {"q": 12}, "is_reverse": true}}
| 4,465
| 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 = x + 16; b = w + 10; e = k + 18; o = e + 20; t = m + 15; h = o + 15; x = q + 12; i = q + 18; m = b + 19; f = i + 19; y = t + 1; k = f + 17; q = 12. If q = 12, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = m + 15 to y, which gives y = m + 16.\n2. Substitute m = b + 19 to y, which gives y = b + 35.\n3. Substitute b = w + 10 to y, which gives y = w + 45.\n4. Substitute w = x + 16 to y, which gives y = x + 61.\n5. Substitute x = q + 12 to y, which gives y = q + 73.\n6. Substitute q = 12 to y, which gives y = 85.\n\nThus, the final answer is y = \\boxed{85}.",
"index": 4465,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = x + 16; b = w + 10; e = k + 18; o = e + 20; t = m + 15; h = o + 15; x = q + 12; i = q + 18; m = b + 19; f = i + 19; y = t + 1; k = f + 17; q = 12. If q = 12, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"r": "f + 15", "q": "r + 20", "l": "q + 19", "g": "l + 10", "p": "g + 5", "a": "p + 16", "i": "f + 14", "y": "i + 17", "w": "y + 17", "x": "w + 9", "t": "x + 15", "e": "t + 14", "f": 2}, "premises": {"f": 2}, "target": "a"}, "answer": {"steps": [["p", "g + 5", "g + 21"], ["g", "l + 10", "l + 31"], ["l", "q + 19", "q + 50"], ["q", "r + 20", "r + 70"], ["r", "f + 15", "f + 85"], ["f", 2, "87"]], "target_var_name": "a", "target_value": 87, "value_dict": {"f": 2}, "is_reverse": true}}
| 4,466
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = l + 10; f = 2; l = q + 19; a = p + 16; r = f + 15; p = g + 5; y = i + 17; e = t + 14; t = x + 15; q = r + 20; w = y + 17; x = w + 9; i = f + 14. Given that f = 2, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = g + 5 to a, which gives a = g + 21.\n2. Substitute g = l + 10 to a, which gives a = l + 31.\n3. Substitute l = q + 19 to a, which gives a = q + 50.\n4. Substitute q = r + 20 to a, which gives a = r + 70.\n5. Substitute r = f + 15 to a, which gives a = f + 85.\n6. Substitute f = 2 to a, which gives a = 87.\n\nThus, the final answer is a = \\boxed{87}.",
"index": 4466,
"question": "Suppose a collection of variables is related by the following definitions: g = l + 10; f = 2; l = q + 19; a = p + 16; r = f + 15; p = g + 5; y = i + 17; e = t + 14; t = x + 15; q = r + 20; w = y + 17; x = w + 9; i = f + 14. Given that f = 2, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"b": "k + 2", "v": "b + 19", "f": "v + 3", "l": "f + 19", "m": "l + 15", "w": "m + 3", "j": "k + 6", "h": "j + 16", "a": "h + 4", "n": "a + 5", "g": "n + 4", "q": "g + 4", "k": 6}, "premises": {"k": 6}, "target": "w"}, "answer": {"steps": [["m", "l + 15", "l + 18"], ["l", "f + 19", "f + 37"], ["f", "v + 3", "v + 40"], ["v", "b + 19", "b + 59"], ["b", "k + 2", "k + 61"], ["k", 6, "67"]], "target_var_name": "w", "target_value": 67, "value_dict": {"k": 6}, "is_reverse": true}}
| 4,467
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = a + 5; b = k + 2; w = m + 3; l = f + 19; q = g + 4; a = h + 4; h = j + 16; f = v + 3; v = b + 19; k = 6; g = n + 4; j = k + 6; m = l + 15. If k = 6, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = l + 15 to w, which gives w = l + 18.\n2. Substitute l = f + 19 to w, which gives w = f + 37.\n3. Substitute f = v + 3 to w, which gives w = v + 40.\n4. Substitute v = b + 19 to w, which gives w = b + 59.\n5. Substitute b = k + 2 to w, which gives w = k + 61.\n6. Substitute k = 6 to w, which gives w = 67.\n\nThus, the final answer is w = \\boxed{67}.",
"index": 4467,
"question": "Consider a system of variables where each variable is defined as follows: n = a + 5; b = k + 2; w = m + 3; l = f + 19; q = g + 4; a = h + 4; h = j + 16; f = v + 3; v = b + 19; k = 6; g = n + 4; j = k + 6; m = l + 15. If k = 6, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"p": "r + 19", "f": "p + 19", "u": "f + 19", "i": "u + 9", "n": "i + 18", "c": "n + 17", "s": "r + 12", "x": "s + 14", "j": "x + 15", "e": "j + 6", "m": "e + 4", "t": "m + 8", "r": 4}, "premises": {"r": 4}, "target": "c"}, "answer": {"steps": [["n", "i + 18", "i + 35"], ["i", "u + 9", "u + 44"], ["u", "f + 19", "f + 63"], ["f", "p + 19", "p + 82"], ["p", "r + 19", "r + 101"], ["r", 4, "105"]], "target_var_name": "c", "target_value": 105, "value_dict": {"r": 4}, "is_reverse": true}}
| 4,468
| 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 = e + 4; e = j + 6; c = n + 17; u = f + 19; r = 4; s = r + 12; t = m + 8; f = p + 19; p = r + 19; i = u + 9; x = s + 14; n = i + 18; j = x + 15. If r = 4, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 105,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = i + 18 to c, which gives c = i + 35.\n2. Substitute i = u + 9 to c, which gives c = u + 44.\n3. Substitute u = f + 19 to c, which gives c = f + 63.\n4. Substitute f = p + 19 to c, which gives c = p + 82.\n5. Substitute p = r + 19 to c, which gives c = r + 101.\n6. Substitute r = 4 to c, which gives c = 105.\n\nThus, the final answer is c = \\boxed{105}.",
"index": 4468,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = e + 4; e = j + 6; c = n + 17; u = f + 19; r = 4; s = r + 12; t = m + 8; f = p + 19; p = r + 19; i = u + 9; x = s + 14; n = i + 18; j = x + 15. If r = 4, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"o": "r + 16", "f": "o + 11", "k": "f + 3", "t": "k + 7", "v": "t + 6", "n": "v + 2", "y": "r + 19", "a": "y + 5", "p": "a + 20", "w": "p + 14", "j": "w + 8", "z": "j + 14", "r": 11}, "premises": {"r": 11}, "target": "n"}, "answer": {"steps": [["v", "t + 6", "t + 8"], ["t", "k + 7", "k + 15"], ["k", "f + 3", "f + 18"], ["f", "o + 11", "o + 29"], ["o", "r + 16", "r + 45"], ["r", 11, "56"]], "target_var_name": "n", "target_value": 56, "value_dict": {"r": 11}, "is_reverse": true}}
| 4,469
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = r + 19; t = k + 7; p = a + 20; j = w + 8; f = o + 11; a = y + 5; r = 11; z = j + 14; n = v + 2; k = f + 3; v = t + 6; o = r + 16; w = p + 14. If r = 11, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = t + 6 to n, which gives n = t + 8.\n2. Substitute t = k + 7 to n, which gives n = k + 15.\n3. Substitute k = f + 3 to n, which gives n = f + 18.\n4. Substitute f = o + 11 to n, which gives n = o + 29.\n5. Substitute o = r + 16 to n, which gives n = r + 45.\n6. Substitute r = 11 to n, which gives n = 56.\n\nThus, the final answer is n = \\boxed{56}.",
"index": 4469,
"question": "Consider a system of variables where each variable is defined as follows: y = r + 19; t = k + 7; p = a + 20; j = w + 8; f = o + 11; a = y + 5; r = 11; z = j + 14; n = v + 2; k = f + 3; v = t + 6; o = r + 16; w = p + 14. If r = 11, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"n": "v + 19", "z": "n + 6", "c": "z + 18", "e": "c + 8", "w": "e + 16", "b": "w + 1", "t": "v + 16", "h": "t + 5", "a": "h + 1", "q": "a + 4", "y": "q + 13", "x": "y + 11", "v": 7}, "premises": {"v": 7}, "target": "b"}, "answer": {"steps": [["w", "e + 16", "e + 17"], ["e", "c + 8", "c + 25"], ["c", "z + 18", "z + 43"], ["z", "n + 6", "n + 49"], ["n", "v + 19", "v + 68"], ["v", 7, "75"]], "target_var_name": "b", "target_value": 75, "value_dict": {"v": 7}, "is_reverse": true}}
| 4,470
| 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 = z + 18; v = 7; n = v + 19; e = c + 8; x = y + 11; q = a + 4; a = h + 1; y = q + 13; h = t + 5; z = n + 6; w = e + 16; t = v + 16; b = w + 1. If v = 7, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = e + 16 to b, which gives b = e + 17.\n2. Substitute e = c + 8 to b, which gives b = c + 25.\n3. Substitute c = z + 18 to b, which gives b = z + 43.\n4. Substitute z = n + 6 to b, which gives b = n + 49.\n5. Substitute n = v + 19 to b, which gives b = v + 68.\n6. Substitute v = 7 to b, which gives b = 75.\n\nThus, the final answer is b = \\boxed{75}.",
"index": 4470,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = z + 18; v = 7; n = v + 19; e = c + 8; x = y + 11; q = a + 4; a = h + 1; y = q + 13; h = t + 5; z = n + 6; w = e + 16; t = v + 16; b = w + 1. If v = 7, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"n": "h + 7", "x": "n + 14", "u": "x + 3", "a": "u + 16", "m": "a + 7", "k": "m + 14", "o": "h + 4", "q": "o + 18", "j": "q + 14", "g": "j + 3", "v": "g + 1", "w": "v + 1", "h": 10}, "premises": {"h": 10}, "target": "k"}, "answer": {"steps": [["m", "a + 7", "a + 21"], ["a", "u + 16", "u + 37"], ["u", "x + 3", "x + 40"], ["x", "n + 14", "n + 54"], ["n", "h + 7", "h + 61"], ["h", 10, "71"]], "target_var_name": "k", "target_value": 71, "value_dict": {"h": 10}, "is_reverse": true}}
| 4,471
| 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 = n + 14; j = q + 14; m = a + 7; g = j + 3; n = h + 7; u = x + 3; w = v + 1; v = g + 1; a = u + 16; o = h + 4; k = m + 14; q = o + 18; h = 10. If h = 10, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = a + 7 to k, which gives k = a + 21.\n2. Substitute a = u + 16 to k, which gives k = u + 37.\n3. Substitute u = x + 3 to k, which gives k = x + 40.\n4. Substitute x = n + 14 to k, which gives k = n + 54.\n5. Substitute n = h + 7 to k, which gives k = h + 61.\n6. Substitute h = 10 to k, which gives k = 71.\n\nThus, the final answer is k = \\boxed{71}.",
"index": 4471,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = n + 14; j = q + 14; m = a + 7; g = j + 3; n = h + 7; u = x + 3; w = v + 1; v = g + 1; a = u + 16; o = h + 4; k = m + 14; q = o + 18; h = 10. If h = 10, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"z": "o + 10", "v": "z + 1", "j": "v + 7", "d": "j + 4", "h": "d + 1", "e": "h + 1", "p": "o + 17", "b": "p + 14", "r": "b + 18", "x": "r + 4", "t": "x + 7", "s": "t + 12", "o": 9}, "premises": {"o": 9}, "target": "e"}, "answer": {"steps": [["h", "d + 1", "d + 2"], ["d", "j + 4", "j + 6"], ["j", "v + 7", "v + 13"], ["v", "z + 1", "z + 14"], ["z", "o + 10", "o + 24"], ["o", 9, "33"]], "target_var_name": "e", "target_value": 33, "value_dict": {"o": 9}, "is_reverse": true}}
| 4,472
| 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 = x + 7; h = d + 1; b = p + 14; j = v + 7; v = z + 1; x = r + 4; d = j + 4; r = b + 18; o = 9; e = h + 1; s = t + 12; z = o + 10; p = o + 17. If o = 9, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 33,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = d + 1 to e, which gives e = d + 2.\n2. Substitute d = j + 4 to e, which gives e = j + 6.\n3. Substitute j = v + 7 to e, which gives e = v + 13.\n4. Substitute v = z + 1 to e, which gives e = z + 14.\n5. Substitute z = o + 10 to e, which gives e = o + 24.\n6. Substitute o = 9 to e, which gives e = 33.\n\nThus, the final answer is e = \\boxed{33}.",
"index": 4472,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = x + 7; h = d + 1; b = p + 14; j = v + 7; v = z + 1; x = r + 4; d = j + 4; r = b + 18; o = 9; e = h + 1; s = t + 12; z = o + 10; p = o + 17. If o = 9, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"h": "v + 14", "l": "h + 4", "m": "l + 7", "t": "m + 11", "g": "t + 10", "p": "g + 11", "q": "v + 4", "b": "q + 3", "u": "b + 1", "d": "u + 1", "n": "d + 14", "a": "n + 9", "v": 9}, "premises": {"v": 9}, "target": "p"}, "answer": {"steps": [["g", "t + 10", "t + 21"], ["t", "m + 11", "m + 32"], ["m", "l + 7", "l + 39"], ["l", "h + 4", "h + 43"], ["h", "v + 14", "v + 57"], ["v", 9, "66"]], "target_var_name": "p", "target_value": 66, "value_dict": {"v": 9}, "is_reverse": true}}
| 4,473
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = 9; p = g + 11; d = u + 1; u = b + 1; q = v + 4; m = l + 7; h = v + 14; a = n + 9; g = t + 10; t = m + 11; l = h + 4; b = q + 3; n = d + 14. Given that v = 9, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = t + 10 to p, which gives p = t + 21.\n2. Substitute t = m + 11 to p, which gives p = m + 32.\n3. Substitute m = l + 7 to p, which gives p = l + 39.\n4. Substitute l = h + 4 to p, which gives p = h + 43.\n5. Substitute h = v + 14 to p, which gives p = v + 57.\n6. Substitute v = 9 to p, which gives p = 66.\n\nThus, the final answer is p = \\boxed{66}.",
"index": 4473,
"question": "Suppose a collection of variables is related by the following definitions: v = 9; p = g + 11; d = u + 1; u = b + 1; q = v + 4; m = l + 7; h = v + 14; a = n + 9; g = t + 10; t = m + 11; l = h + 4; b = q + 3; n = d + 14. Given that v = 9, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"l": "n + 4", "g": "l + 10", "x": "g + 12", "q": "x + 16", "w": "q + 8", "v": "w + 20", "h": "n + 17", "o": "h + 7", "e": "o + 17", "k": "e + 13", "u": "k + 17", "i": "u + 10", "n": 20}, "premises": {"n": 20}, "target": "v"}, "answer": {"steps": [["w", "q + 8", "q + 28"], ["q", "x + 16", "x + 44"], ["x", "g + 12", "g + 56"], ["g", "l + 10", "l + 66"], ["l", "n + 4", "n + 70"], ["n", 20, "90"]], "target_var_name": "v", "target_value": 90, "value_dict": {"n": 20}, "is_reverse": true}}
| 4,474
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = e + 13; i = u + 10; o = h + 7; q = x + 16; g = l + 10; v = w + 20; e = o + 17; x = g + 12; h = n + 17; n = 20; u = k + 17; l = n + 4; w = q + 8. If n = 20, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = q + 8 to v, which gives v = q + 28.\n2. Substitute q = x + 16 to v, which gives v = x + 44.\n3. Substitute x = g + 12 to v, which gives v = g + 56.\n4. Substitute g = l + 10 to v, which gives v = l + 66.\n5. Substitute l = n + 4 to v, which gives v = n + 70.\n6. Substitute n = 20 to v, which gives v = 90.\n\nThus, the final answer is v = \\boxed{90}.",
"index": 4474,
"question": "Consider a system of variables where each variable is defined as follows: k = e + 13; i = u + 10; o = h + 7; q = x + 16; g = l + 10; v = w + 20; e = o + 17; x = g + 12; h = n + 17; n = 20; u = k + 17; l = n + 4; w = q + 8. If n = 20, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"n": "c + 3", "a": "n + 3", "r": "a + 7", "o": "r + 13", "m": "o + 9", "x": "m + 19", "w": "c + 9", "b": "w + 18", "p": "b + 4", "g": "p + 19", "e": "g + 8", "d": "e + 17", "c": 11}, "premises": {"c": 11}, "target": "x"}, "answer": {"steps": [["m", "o + 9", "o + 28"], ["o", "r + 13", "r + 41"], ["r", "a + 7", "a + 48"], ["a", "n + 3", "n + 51"], ["n", "c + 3", "c + 54"], ["c", 11, "65"]], "target_var_name": "x", "target_value": 65, "value_dict": {"c": 11}, "is_reverse": true}}
| 4,475
| 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 = a + 7; x = m + 19; o = r + 13; n = c + 3; e = g + 8; a = n + 3; g = p + 19; d = e + 17; p = b + 4; w = c + 9; c = 11; m = o + 9; b = w + 18. If c = 11, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = o + 9 to x, which gives x = o + 28.\n2. Substitute o = r + 13 to x, which gives x = r + 41.\n3. Substitute r = a + 7 to x, which gives x = a + 48.\n4. Substitute a = n + 3 to x, which gives x = n + 51.\n5. Substitute n = c + 3 to x, which gives x = c + 54.\n6. Substitute c = 11 to x, which gives x = 65.\n\nThus, the final answer is x = \\boxed{65}.",
"index": 4475,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = a + 7; x = m + 19; o = r + 13; n = c + 3; e = g + 8; a = n + 3; g = p + 19; d = e + 17; p = b + 4; w = c + 9; c = 11; m = o + 9; b = w + 18. If c = 11, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"r": "d + 9", "u": "r + 11", "s": "u + 8", "o": "s + 11", "b": "o + 12", "k": "b + 20", "i": "d + 9", "t": "i + 20", "m": "t + 18", "f": "m + 16", "p": "f + 15", "x": "p + 7", "d": 15}, "premises": {"d": 15}, "target": "k"}, "answer": {"steps": [["b", "o + 12", "o + 32"], ["o", "s + 11", "s + 43"], ["s", "u + 8", "u + 51"], ["u", "r + 11", "r + 62"], ["r", "d + 9", "d + 71"], ["d", 15, "86"]], "target_var_name": "k", "target_value": 86, "value_dict": {"d": 15}, "is_reverse": true}}
| 4,476
| 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 = d + 9; o = s + 11; m = t + 18; k = b + 20; x = p + 7; t = i + 20; s = u + 8; r = d + 9; b = o + 12; f = m + 16; p = f + 15; d = 15; u = r + 11. If d = 15, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = o + 12 to k, which gives k = o + 32.\n2. Substitute o = s + 11 to k, which gives k = s + 43.\n3. Substitute s = u + 8 to k, which gives k = u + 51.\n4. Substitute u = r + 11 to k, which gives k = r + 62.\n5. Substitute r = d + 9 to k, which gives k = d + 71.\n6. Substitute d = 15 to k, which gives k = 86.\n\nThus, the final answer is k = \\boxed{86}.",
"index": 4476,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = d + 9; o = s + 11; m = t + 18; k = b + 20; x = p + 7; t = i + 20; s = u + 8; r = d + 9; b = o + 12; f = m + 16; p = f + 15; d = 15; u = r + 11. If d = 15, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"r": "a + 9", "k": "r + 5", "f": "k + 4", "j": "f + 5", "d": "j + 14", "h": "d + 19", "p": "a + 18", "z": "p + 19", "e": "z + 20", "s": "e + 8", "g": "s + 2", "m": "g + 17", "a": 9}, "premises": {"a": 9}, "target": "h"}, "answer": {"steps": [["d", "j + 14", "j + 33"], ["j", "f + 5", "f + 38"], ["f", "k + 4", "k + 42"], ["k", "r + 5", "r + 47"], ["r", "a + 9", "a + 56"], ["a", 9, "65"]], "target_var_name": "h", "target_value": 65, "value_dict": {"a": 9}, "is_reverse": true}}
| 4,477
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = p + 19; s = e + 8; f = k + 4; a = 9; e = z + 20; j = f + 5; k = r + 5; d = j + 14; m = g + 17; p = a + 18; r = a + 9; h = d + 19; g = s + 2. Given that a = 9, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = j + 14 to h, which gives h = j + 33.\n2. Substitute j = f + 5 to h, which gives h = f + 38.\n3. Substitute f = k + 4 to h, which gives h = k + 42.\n4. Substitute k = r + 5 to h, which gives h = r + 47.\n5. Substitute r = a + 9 to h, which gives h = a + 56.\n6. Substitute a = 9 to h, which gives h = 65.\n\nThus, the final answer is h = \\boxed{65}.",
"index": 4477,
"question": "Suppose a collection of variables is related by the following definitions: z = p + 19; s = e + 8; f = k + 4; a = 9; e = z + 20; j = f + 5; k = r + 5; d = j + 14; m = g + 17; p = a + 18; r = a + 9; h = d + 19; g = s + 2. Given that a = 9, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"o": "t + 15", "q": "o + 14", "r": "q + 17", "u": "r + 2", "x": "u + 7", "m": "x + 9", "i": "t + 17", "b": "i + 20", "d": "b + 8", "z": "d + 19", "p": "z + 1", "n": "p + 18", "t": 11}, "premises": {"t": 11}, "target": "m"}, "answer": {"steps": [["x", "u + 7", "u + 16"], ["u", "r + 2", "r + 18"], ["r", "q + 17", "q + 35"], ["q", "o + 14", "o + 49"], ["o", "t + 15", "t + 64"], ["t", 11, "75"]], "target_var_name": "m", "target_value": 75, "value_dict": {"t": 11}, "is_reverse": true}}
| 4,478
| 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 = o + 14; t = 11; u = r + 2; o = t + 15; b = i + 20; n = p + 18; r = q + 17; x = u + 7; p = z + 1; z = d + 19; i = t + 17; d = b + 8; m = x + 9. If t = 11, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = u + 7 to m, which gives m = u + 16.\n2. Substitute u = r + 2 to m, which gives m = r + 18.\n3. Substitute r = q + 17 to m, which gives m = q + 35.\n4. Substitute q = o + 14 to m, which gives m = o + 49.\n5. Substitute o = t + 15 to m, which gives m = t + 64.\n6. Substitute t = 11 to m, which gives m = 75.\n\nThus, the final answer is m = \\boxed{75}.",
"index": 4478,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = o + 14; t = 11; u = r + 2; o = t + 15; b = i + 20; n = p + 18; r = q + 17; x = u + 7; p = z + 1; z = d + 19; i = t + 17; d = b + 8; m = x + 9. If t = 11, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"u": "v + 10", "z": "u + 17", "k": "z + 1", "n": "k + 3", "e": "n + 9", "q": "e + 11", "o": "v + 18", "c": "o + 18", "f": "c + 7", "s": "f + 16", "m": "s + 3", "t": "m + 16", "v": 3}, "premises": {"v": 3}, "target": "q"}, "answer": {"steps": [["e", "n + 9", "n + 20"], ["n", "k + 3", "k + 23"], ["k", "z + 1", "z + 24"], ["z", "u + 17", "u + 41"], ["u", "v + 10", "v + 51"], ["v", 3, "54"]], "target_var_name": "q", "target_value": 54, "value_dict": {"v": 3}, "is_reverse": true}}
| 4,479
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = z + 1; z = u + 17; m = s + 3; o = v + 18; s = f + 16; c = o + 18; n = k + 3; u = v + 10; v = 3; e = n + 9; t = m + 16; q = e + 11; f = c + 7. Given that v = 3, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = n + 9 to q, which gives q = n + 20.\n2. Substitute n = k + 3 to q, which gives q = k + 23.\n3. Substitute k = z + 1 to q, which gives q = z + 24.\n4. Substitute z = u + 17 to q, which gives q = u + 41.\n5. Substitute u = v + 10 to q, which gives q = v + 51.\n6. Substitute v = 3 to q, which gives q = 54.\n\nThus, the final answer is q = \\boxed{54}.",
"index": 4479,
"question": "Suppose a collection of variables is related by the following definitions: k = z + 1; z = u + 17; m = s + 3; o = v + 18; s = f + 16; c = o + 18; n = k + 3; u = v + 10; v = 3; e = n + 9; t = m + 16; q = e + 11; f = c + 7. Given that v = 3, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"t": "d + 8", "j": "t + 1", "i": "j + 11", "l": "i + 18", "n": "l + 7", "a": "n + 8", "g": "d + 19", "v": "g + 6", "o": "v + 5", "e": "o + 20", "b": "e + 10", "r": "b + 10", "d": 15}, "premises": {"d": 15}, "target": "a"}, "answer": {"steps": [["n", "l + 7", "l + 15"], ["l", "i + 18", "i + 33"], ["i", "j + 11", "j + 44"], ["j", "t + 1", "t + 45"], ["t", "d + 8", "d + 53"], ["d", 15, "68"]], "target_var_name": "a", "target_value": 68, "value_dict": {"d": 15}, "is_reverse": true}}
| 4,480
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = t + 1; t = d + 8; v = g + 6; d = 15; g = d + 19; r = b + 10; n = l + 7; o = v + 5; l = i + 18; a = n + 8; i = j + 11; e = o + 20; b = e + 10. If d = 15, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = l + 7 to a, which gives a = l + 15.\n2. Substitute l = i + 18 to a, which gives a = i + 33.\n3. Substitute i = j + 11 to a, which gives a = j + 44.\n4. Substitute j = t + 1 to a, which gives a = t + 45.\n5. Substitute t = d + 8 to a, which gives a = d + 53.\n6. Substitute d = 15 to a, which gives a = 68.\n\nThus, the final answer is a = \\boxed{68}.",
"index": 4480,
"question": "Consider a system of variables where each variable is defined as follows: j = t + 1; t = d + 8; v = g + 6; d = 15; g = d + 19; r = b + 10; n = l + 7; o = v + 5; l = i + 18; a = n + 8; i = j + 11; e = o + 20; b = e + 10. If d = 15, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"w": "b + 18", "e": "w + 11", "s": "e + 12", "j": "s + 13", "l": "j + 18", "y": "l + 8", "f": "b + 3", "p": "f + 2", "t": "p + 5", "q": "t + 16", "h": "q + 13", "n": "h + 15", "b": 18}, "premises": {"b": 18}, "target": "y"}, "answer": {"steps": [["l", "j + 18", "j + 26"], ["j", "s + 13", "s + 39"], ["s", "e + 12", "e + 51"], ["e", "w + 11", "w + 62"], ["w", "b + 18", "b + 80"], ["b", 18, "98"]], "target_var_name": "y", "target_value": 98, "value_dict": {"b": 18}, "is_reverse": true}}
| 4,481
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = f + 2; l = j + 18; f = b + 3; s = e + 12; y = l + 8; n = h + 15; b = 18; q = t + 16; j = s + 13; w = b + 18; e = w + 11; t = p + 5; h = q + 13. If b = 18, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 98,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = j + 18 to y, which gives y = j + 26.\n2. Substitute j = s + 13 to y, which gives y = s + 39.\n3. Substitute s = e + 12 to y, which gives y = e + 51.\n4. Substitute e = w + 11 to y, which gives y = w + 62.\n5. Substitute w = b + 18 to y, which gives y = b + 80.\n6. Substitute b = 18 to y, which gives y = 98.\n\nThus, the final answer is y = \\boxed{98}.",
"index": 4481,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = f + 2; l = j + 18; f = b + 3; s = e + 12; y = l + 8; n = h + 15; b = 18; q = t + 16; j = s + 13; w = b + 18; e = w + 11; t = p + 5; h = q + 13. If b = 18, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"p": "x + 5", "b": "p + 9", "f": "b + 12", "y": "f + 14", "l": "y + 2", "d": "l + 11", "t": "x + 17", "n": "t + 19", "i": "n + 6", "u": "i + 12", "s": "u + 7", "v": "s + 14", "x": 18}, "premises": {"x": 18}, "target": "d"}, "answer": {"steps": [["l", "y + 2", "y + 13"], ["y", "f + 14", "f + 27"], ["f", "b + 12", "b + 39"], ["b", "p + 9", "p + 48"], ["p", "x + 5", "x + 53"], ["x", 18, "71"]], "target_var_name": "d", "target_value": 71, "value_dict": {"x": 18}, "is_reverse": true}}
| 4,482
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = y + 2; i = n + 6; b = p + 9; u = i + 12; t = x + 17; x = 18; v = s + 14; n = t + 19; p = x + 5; f = b + 12; y = f + 14; s = u + 7; d = l + 11. If x = 18, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = y + 2 to d, which gives d = y + 13.\n2. Substitute y = f + 14 to d, which gives d = f + 27.\n3. Substitute f = b + 12 to d, which gives d = b + 39.\n4. Substitute b = p + 9 to d, which gives d = p + 48.\n5. Substitute p = x + 5 to d, which gives d = x + 53.\n6. Substitute x = 18 to d, which gives d = 71.\n\nThus, the final answer is d = \\boxed{71}.",
"index": 4482,
"question": "Consider a system of variables where each variable is defined as follows: l = y + 2; i = n + 6; b = p + 9; u = i + 12; t = x + 17; x = 18; v = s + 14; n = t + 19; p = x + 5; f = b + 12; y = f + 14; s = u + 7; d = l + 11. If x = 18, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"j": "k + 7", "f": "j + 11", "r": "f + 2", "i": "r + 15", "y": "i + 17", "l": "y + 3", "a": "k + 6", "u": "a + 17", "c": "u + 16", "z": "c + 13", "h": "z + 4", "p": "h + 15", "k": 20}, "premises": {"k": 20}, "target": "l"}, "answer": {"steps": [["y", "i + 17", "i + 20"], ["i", "r + 15", "r + 35"], ["r", "f + 2", "f + 37"], ["f", "j + 11", "j + 48"], ["j", "k + 7", "k + 55"], ["k", 20, "75"]], "target_var_name": "l", "target_value": 75, "value_dict": {"k": 20}, "is_reverse": true}}
| 4,483
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = 20; j = k + 7; p = h + 15; l = y + 3; c = u + 16; h = z + 4; y = i + 17; a = k + 6; f = j + 11; i = r + 15; u = a + 17; r = f + 2; z = c + 13. Given that k = 20, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = i + 17 to l, which gives l = i + 20.\n2. Substitute i = r + 15 to l, which gives l = r + 35.\n3. Substitute r = f + 2 to l, which gives l = f + 37.\n4. Substitute f = j + 11 to l, which gives l = j + 48.\n5. Substitute j = k + 7 to l, which gives l = k + 55.\n6. Substitute k = 20 to l, which gives l = 75.\n\nThus, the final answer is l = \\boxed{75}.",
"index": 4483,
"question": "Suppose a collection of variables is related by the following definitions: k = 20; j = k + 7; p = h + 15; l = y + 3; c = u + 16; h = z + 4; y = i + 17; a = k + 6; f = j + 11; i = r + 15; u = a + 17; r = f + 2; z = c + 13. Given that k = 20, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"x": "w + 3", "j": "x + 16", "a": "j + 6", "t": "a + 13", "c": "t + 15", "r": "c + 1", "u": "w + 6", "b": "u + 9", "n": "b + 17", "s": "n + 19", "k": "s + 14", "f": "k + 13", "w": 13}, "premises": {"w": 13}, "target": "r"}, "answer": {"steps": [["c", "t + 15", "t + 16"], ["t", "a + 13", "a + 29"], ["a", "j + 6", "j + 35"], ["j", "x + 16", "x + 51"], ["x", "w + 3", "w + 54"], ["w", 13, "67"]], "target_var_name": "r", "target_value": 67, "value_dict": {"w": 13}, "is_reverse": true}}
| 4,484
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = w + 6; b = u + 9; n = b + 17; j = x + 16; a = j + 6; k = s + 14; f = k + 13; w = 13; c = t + 15; r = c + 1; t = a + 13; s = n + 19; x = w + 3. Given that w = 13, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = t + 15 to r, which gives r = t + 16.\n2. Substitute t = a + 13 to r, which gives r = a + 29.\n3. Substitute a = j + 6 to r, which gives r = j + 35.\n4. Substitute j = x + 16 to r, which gives r = x + 51.\n5. Substitute x = w + 3 to r, which gives r = w + 54.\n6. Substitute w = 13 to r, which gives r = 67.\n\nThus, the final answer is r = \\boxed{67}.",
"index": 4484,
"question": "Suppose a collection of variables is related by the following definitions: u = w + 6; b = u + 9; n = b + 17; j = x + 16; a = j + 6; k = s + 14; f = k + 13; w = 13; c = t + 15; r = c + 1; t = a + 13; s = n + 19; x = w + 3. Given that w = 13, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"f": "e + 16", "n": "f + 5", "w": "n + 11", "z": "w + 12", "p": "z + 5", "r": "p + 10", "j": "e + 20", "d": "j + 4", "u": "d + 16", "q": "u + 8", "c": "q + 4", "a": "c + 6", "e": 14}, "premises": {"e": 14}, "target": "r"}, "answer": {"steps": [["p", "z + 5", "z + 15"], ["z", "w + 12", "w + 27"], ["w", "n + 11", "n + 38"], ["n", "f + 5", "f + 43"], ["f", "e + 16", "e + 59"], ["e", 14, "73"]], "target_var_name": "r", "target_value": 73, "value_dict": {"e": 14}, "is_reverse": true}}
| 4,485
| 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 = c + 6; r = p + 10; n = f + 5; d = j + 4; p = z + 5; z = w + 12; f = e + 16; w = n + 11; u = d + 16; j = e + 20; e = 14; c = q + 4; q = u + 8. If e = 14, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = z + 5 to r, which gives r = z + 15.\n2. Substitute z = w + 12 to r, which gives r = w + 27.\n3. Substitute w = n + 11 to r, which gives r = n + 38.\n4. Substitute n = f + 5 to r, which gives r = f + 43.\n5. Substitute f = e + 16 to r, which gives r = e + 59.\n6. Substitute e = 14 to r, which gives r = 73.\n\nThus, the final answer is r = \\boxed{73}.",
"index": 4485,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = c + 6; r = p + 10; n = f + 5; d = j + 4; p = z + 5; z = w + 12; f = e + 16; w = n + 11; u = d + 16; j = e + 20; e = 14; c = q + 4; q = u + 8. If e = 14, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"h": "w + 10", "o": "h + 17", "z": "o + 17", "g": "z + 8", "v": "g + 11", "e": "v + 11", "a": "w + 12", "b": "a + 1", "j": "b + 2", "r": "j + 16", "i": "r + 1", "p": "i + 4", "w": 17}, "premises": {"w": 17}, "target": "e"}, "answer": {"steps": [["v", "g + 11", "g + 22"], ["g", "z + 8", "z + 30"], ["z", "o + 17", "o + 47"], ["o", "h + 17", "h + 64"], ["h", "w + 10", "w + 74"], ["w", 17, "91"]], "target_var_name": "e", "target_value": 91, "value_dict": {"w": 17}, "is_reverse": true}}
| 4,486
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = i + 4; w = 17; v = g + 11; j = b + 2; g = z + 8; r = j + 16; z = o + 17; i = r + 1; h = w + 10; a = w + 12; b = a + 1; e = v + 11; o = h + 17. If w = 17, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = g + 11 to e, which gives e = g + 22.\n2. Substitute g = z + 8 to e, which gives e = z + 30.\n3. Substitute z = o + 17 to e, which gives e = o + 47.\n4. Substitute o = h + 17 to e, which gives e = h + 64.\n5. Substitute h = w + 10 to e, which gives e = w + 74.\n6. Substitute w = 17 to e, which gives e = 91.\n\nThus, the final answer is e = \\boxed{91}.",
"index": 4486,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = i + 4; w = 17; v = g + 11; j = b + 2; g = z + 8; r = j + 16; z = o + 17; i = r + 1; h = w + 10; a = w + 12; b = a + 1; e = v + 11; o = h + 17. If w = 17, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"a": "l + 7", "d": "a + 3", "o": "d + 10", "b": "o + 15", "g": "b + 5", "v": "g + 8", "q": "l + 1", "u": "q + 14", "i": "u + 7", "n": "i + 11", "y": "n + 10", "e": "y + 2", "l": 13}, "premises": {"l": 13}, "target": "v"}, "answer": {"steps": [["g", "b + 5", "b + 13"], ["b", "o + 15", "o + 28"], ["o", "d + 10", "d + 38"], ["d", "a + 3", "a + 41"], ["a", "l + 7", "l + 48"], ["l", 13, "61"]], "target_var_name": "v", "target_value": 61, "value_dict": {"l": 13}, "is_reverse": true}}
| 4,487
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = g + 8; q = l + 1; n = i + 11; y = n + 10; u = q + 14; l = 13; i = u + 7; g = b + 5; o = d + 10; a = l + 7; e = y + 2; b = o + 15; d = a + 3. Given that l = 13, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = b + 5 to v, which gives v = b + 13.\n2. Substitute b = o + 15 to v, which gives v = o + 28.\n3. Substitute o = d + 10 to v, which gives v = d + 38.\n4. Substitute d = a + 3 to v, which gives v = a + 41.\n5. Substitute a = l + 7 to v, which gives v = l + 48.\n6. Substitute l = 13 to v, which gives v = 61.\n\nThus, the final answer is v = \\boxed{61}.",
"index": 4487,
"question": "Suppose a collection of variables is related by the following definitions: v = g + 8; q = l + 1; n = i + 11; y = n + 10; u = q + 14; l = 13; i = u + 7; g = b + 5; o = d + 10; a = l + 7; e = y + 2; b = o + 15; d = a + 3. Given that l = 13, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"n": "g + 14", "c": "n + 6", "e": "c + 19", "p": "e + 5", "j": "p + 19", "v": "j + 18", "r": "g + 3", "m": "r + 10", "t": "m + 11", "k": "t + 3", "d": "k + 18", "a": "d + 4", "g": 18}, "premises": {"g": 18}, "target": "v"}, "answer": {"steps": [["j", "p + 19", "p + 37"], ["p", "e + 5", "e + 42"], ["e", "c + 19", "c + 61"], ["c", "n + 6", "n + 67"], ["n", "g + 14", "g + 81"], ["g", 18, "99"]], "target_var_name": "v", "target_value": 99, "value_dict": {"g": 18}, "is_reverse": true}}
| 4,488
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = t + 3; c = n + 6; a = d + 4; j = p + 19; p = e + 5; g = 18; m = r + 10; v = j + 18; d = k + 18; e = c + 19; t = m + 11; r = g + 3; n = g + 14. Given that g = 18, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 99,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = p + 19 to v, which gives v = p + 37.\n2. Substitute p = e + 5 to v, which gives v = e + 42.\n3. Substitute e = c + 19 to v, which gives v = c + 61.\n4. Substitute c = n + 6 to v, which gives v = n + 67.\n5. Substitute n = g + 14 to v, which gives v = g + 81.\n6. Substitute g = 18 to v, which gives v = 99.\n\nThus, the final answer is v = \\boxed{99}.",
"index": 4488,
"question": "Suppose a collection of variables is related by the following definitions: k = t + 3; c = n + 6; a = d + 4; j = p + 19; p = e + 5; g = 18; m = r + 10; v = j + 18; d = k + 18; e = c + 19; t = m + 11; r = g + 3; n = g + 14. Given that g = 18, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"o": "l + 17", "x": "o + 16", "p": "x + 16", "n": "p + 9", "c": "n + 7", "e": "c + 17", "h": "l + 2", "w": "h + 4", "a": "w + 4", "m": "a + 14", "k": "m + 12", "u": "k + 15", "l": 20}, "premises": {"l": 20}, "target": "e"}, "answer": {"steps": [["c", "n + 7", "n + 24"], ["n", "p + 9", "p + 33"], ["p", "x + 16", "x + 49"], ["x", "o + 16", "o + 65"], ["o", "l + 17", "l + 82"], ["l", 20, "102"]], "target_var_name": "e", "target_value": 102, "value_dict": {"l": 20}, "is_reverse": true}}
| 4,489
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = k + 15; m = a + 14; o = l + 17; e = c + 17; x = o + 16; w = h + 4; c = n + 7; a = w + 4; p = x + 16; l = 20; n = p + 9; h = l + 2; k = m + 12. If l = 20, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 102,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = n + 7 to e, which gives e = n + 24.\n2. Substitute n = p + 9 to e, which gives e = p + 33.\n3. Substitute p = x + 16 to e, which gives e = x + 49.\n4. Substitute x = o + 16 to e, which gives e = o + 65.\n5. Substitute o = l + 17 to e, which gives e = l + 82.\n6. Substitute l = 20 to e, which gives e = 102.\n\nThus, the final answer is e = \\boxed{102}.",
"index": 4489,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = k + 15; m = a + 14; o = l + 17; e = c + 17; x = o + 16; w = h + 4; c = n + 7; a = w + 4; p = x + 16; l = 20; n = p + 9; h = l + 2; k = m + 12. If l = 20, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"m": "x + 12", "f": "m + 11", "p": "f + 18", "d": "p + 1", "i": "d + 18", "g": "i + 2", "t": "x + 13", "h": "t + 17", "l": "h + 12", "o": "l + 11", "r": "o + 16", "v": "r + 15", "x": 3}, "premises": {"x": 3}, "target": "g"}, "answer": {"steps": [["i", "d + 18", "d + 20"], ["d", "p + 1", "p + 21"], ["p", "f + 18", "f + 39"], ["f", "m + 11", "m + 50"], ["m", "x + 12", "x + 62"], ["x", 3, "65"]], "target_var_name": "g", "target_value": 65, "value_dict": {"x": 3}, "is_reverse": true}}
| 4,490
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = d + 18; h = t + 17; f = m + 11; d = p + 1; v = r + 15; m = x + 12; r = o + 16; t = x + 13; x = 3; p = f + 18; g = i + 2; o = l + 11; l = h + 12. Given that x = 3, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = d + 18 to g, which gives g = d + 20.\n2. Substitute d = p + 1 to g, which gives g = p + 21.\n3. Substitute p = f + 18 to g, which gives g = f + 39.\n4. Substitute f = m + 11 to g, which gives g = m + 50.\n5. Substitute m = x + 12 to g, which gives g = x + 62.\n6. Substitute x = 3 to g, which gives g = 65.\n\nThus, the final answer is g = \\boxed{65}.",
"index": 4490,
"question": "Suppose a collection of variables is related by the following definitions: i = d + 18; h = t + 17; f = m + 11; d = p + 1; v = r + 15; m = x + 12; r = o + 16; t = x + 13; x = 3; p = f + 18; g = i + 2; o = l + 11; l = h + 12. Given that x = 3, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"z": "f + 8", "a": "z + 11", "u": "a + 4", "l": "u + 9", "d": "l + 6", "p": "d + 9", "v": "f + 3", "m": "v + 19", "b": "m + 7", "g": "b + 13", "e": "g + 11", "h": "e + 5", "f": 17}, "premises": {"f": 17}, "target": "p"}, "answer": {"steps": [["d", "l + 6", "l + 15"], ["l", "u + 9", "u + 24"], ["u", "a + 4", "a + 28"], ["a", "z + 11", "z + 39"], ["z", "f + 8", "f + 47"], ["f", 17, "64"]], "target_var_name": "p", "target_value": 64, "value_dict": {"f": 17}, "is_reverse": true}}
| 4,491
| 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 = m + 7; h = e + 5; v = f + 3; m = v + 19; a = z + 11; f = 17; e = g + 11; z = f + 8; g = b + 13; l = u + 9; d = l + 6; p = d + 9; u = a + 4. If f = 17, what is the resulting 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 d = l + 6 to p, which gives p = l + 15.\n2. Substitute l = u + 9 to p, which gives p = u + 24.\n3. Substitute u = a + 4 to p, which gives p = a + 28.\n4. Substitute a = z + 11 to p, which gives p = z + 39.\n5. Substitute z = f + 8 to p, which gives p = f + 47.\n6. Substitute f = 17 to p, which gives p = 64.\n\nThus, the final answer is p = \\boxed{64}.",
"index": 4491,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = m + 7; h = e + 5; v = f + 3; m = v + 19; a = z + 11; f = 17; e = g + 11; z = f + 8; g = b + 13; l = u + 9; d = l + 6; p = d + 9; u = a + 4. If f = 17, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"p": "z + 19", "l": "p + 19", "m": "l + 17", "u": "m + 9", "v": "u + 13", "n": "v + 13", "s": "z + 13", "i": "s + 6", "b": "i + 4", "e": "b + 1", "a": "e + 20", "c": "a + 16", "z": 20}, "premises": {"z": 20}, "target": "n"}, "answer": {"steps": [["v", "u + 13", "u + 26"], ["u", "m + 9", "m + 35"], ["m", "l + 17", "l + 52"], ["l", "p + 19", "p + 71"], ["p", "z + 19", "z + 90"], ["z", 20, "110"]], "target_var_name": "n", "target_value": 110, "value_dict": {"z": 20}, "is_reverse": true}}
| 4,492
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = a + 16; u = m + 9; v = u + 13; s = z + 13; m = l + 17; b = i + 4; n = v + 13; e = b + 1; a = e + 20; i = s + 6; p = z + 19; l = p + 19; z = 20. If z = 20, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 110,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = u + 13 to n, which gives n = u + 26.\n2. Substitute u = m + 9 to n, which gives n = m + 35.\n3. Substitute m = l + 17 to n, which gives n = l + 52.\n4. Substitute l = p + 19 to n, which gives n = p + 71.\n5. Substitute p = z + 19 to n, which gives n = z + 90.\n6. Substitute z = 20 to n, which gives n = 110.\n\nThus, the final answer is n = \\boxed{110}.",
"index": 4492,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = a + 16; u = m + 9; v = u + 13; s = z + 13; m = l + 17; b = i + 4; n = v + 13; e = b + 1; a = e + 20; i = s + 6; p = z + 19; l = p + 19; z = 20. If z = 20, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"y": "r + 5", "c": "y + 1", "w": "c + 17", "l": "w + 19", "q": "l + 5", "j": "q + 15", "n": "r + 3", "m": "n + 3", "f": "m + 2", "z": "f + 17", "x": "z + 13", "t": "x + 10", "r": 16}, "premises": {"r": 16}, "target": "j"}, "answer": {"steps": [["q", "l + 5", "l + 20"], ["l", "w + 19", "w + 39"], ["w", "c + 17", "c + 56"], ["c", "y + 1", "y + 57"], ["y", "r + 5", "r + 62"], ["r", 16, "78"]], "target_var_name": "j", "target_value": 78, "value_dict": {"r": 16}, "is_reverse": true}}
| 4,493
| 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 = z + 13; f = m + 2; c = y + 1; j = q + 15; z = f + 17; l = w + 19; w = c + 17; n = r + 3; y = r + 5; r = 16; t = x + 10; q = l + 5; m = n + 3. If r = 16, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = l + 5 to j, which gives j = l + 20.\n2. Substitute l = w + 19 to j, which gives j = w + 39.\n3. Substitute w = c + 17 to j, which gives j = c + 56.\n4. Substitute c = y + 1 to j, which gives j = y + 57.\n5. Substitute y = r + 5 to j, which gives j = r + 62.\n6. Substitute r = 16 to j, which gives j = 78.\n\nThus, the final answer is j = \\boxed{78}.",
"index": 4493,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = z + 13; f = m + 2; c = y + 1; j = q + 15; z = f + 17; l = w + 19; w = c + 17; n = r + 3; y = r + 5; r = 16; t = x + 10; q = l + 5; m = n + 3. If r = 16, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"p": "s + 2", "c": "p + 17", "g": "c + 6", "f": "g + 12", "h": "f + 19", "u": "h + 18", "j": "s + 11", "k": "j + 14", "e": "k + 18", "v": "e + 17", "n": "v + 13", "y": "n + 7", "s": 12}, "premises": {"s": 12}, "target": "u"}, "answer": {"steps": [["h", "f + 19", "f + 37"], ["f", "g + 12", "g + 49"], ["g", "c + 6", "c + 55"], ["c", "p + 17", "p + 72"], ["p", "s + 2", "s + 74"], ["s", 12, "86"]], "target_var_name": "u", "target_value": 86, "value_dict": {"s": 12}, "is_reverse": true}}
| 4,494
| 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 = p + 17; n = v + 13; s = 12; e = k + 18; y = n + 7; f = g + 12; u = h + 18; j = s + 11; p = s + 2; v = e + 17; k = j + 14; h = f + 19; g = c + 6. If s = 12, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = f + 19 to u, which gives u = f + 37.\n2. Substitute f = g + 12 to u, which gives u = g + 49.\n3. Substitute g = c + 6 to u, which gives u = c + 55.\n4. Substitute c = p + 17 to u, which gives u = p + 72.\n5. Substitute p = s + 2 to u, which gives u = s + 74.\n6. Substitute s = 12 to u, which gives u = 86.\n\nThus, the final answer is u = \\boxed{86}.",
"index": 4494,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = p + 17; n = v + 13; s = 12; e = k + 18; y = n + 7; f = g + 12; u = h + 18; j = s + 11; p = s + 2; v = e + 17; k = j + 14; h = f + 19; g = c + 6. If s = 12, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"k": "a + 14", "x": "k + 20", "q": "x + 9", "u": "q + 3", "z": "u + 9", "f": "z + 5", "g": "a + 4", "j": "g + 14", "n": "j + 6", "d": "n + 10", "v": "d + 16", "i": "v + 18", "a": 7}, "premises": {"a": 7}, "target": "f"}, "answer": {"steps": [["z", "u + 9", "u + 14"], ["u", "q + 3", "q + 17"], ["q", "x + 9", "x + 26"], ["x", "k + 20", "k + 46"], ["k", "a + 14", "a + 60"], ["a", 7, "67"]], "target_var_name": "f", "target_value": 67, "value_dict": {"a": 7}, "is_reverse": true}}
| 4,495
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = x + 9; x = k + 20; g = a + 4; z = u + 9; v = d + 16; i = v + 18; a = 7; n = j + 6; j = g + 14; f = z + 5; d = n + 10; u = q + 3; k = a + 14. Given that a = 7, 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 = u + 9 to f, which gives f = u + 14.\n2. Substitute u = q + 3 to f, which gives f = q + 17.\n3. Substitute q = x + 9 to f, which gives f = x + 26.\n4. Substitute x = k + 20 to f, which gives f = k + 46.\n5. Substitute k = a + 14 to f, which gives f = a + 60.\n6. Substitute a = 7 to f, which gives f = 67.\n\nThus, the final answer is f = \\boxed{67}.",
"index": 4495,
"question": "Suppose a collection of variables is related by the following definitions: q = x + 9; x = k + 20; g = a + 4; z = u + 9; v = d + 16; i = v + 18; a = 7; n = j + 6; j = g + 14; f = z + 5; d = n + 10; u = q + 3; k = a + 14. Given that a = 7, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"n": "c + 10", "k": "n + 12", "v": "k + 6", "a": "v + 8", "t": "a + 16", "i": "t + 9", "d": "c + 2", "s": "d + 9", "u": "s + 7", "b": "u + 8", "e": "b + 16", "p": "e + 8", "c": 1}, "premises": {"c": 1}, "target": "i"}, "answer": {"steps": [["t", "a + 16", "a + 25"], ["a", "v + 8", "v + 33"], ["v", "k + 6", "k + 39"], ["k", "n + 12", "n + 51"], ["n", "c + 10", "c + 61"], ["c", 1, "62"]], "target_var_name": "i", "target_value": 62, "value_dict": {"c": 1}, "is_reverse": true}}
| 4,496
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = e + 8; a = v + 8; v = k + 6; c = 1; s = d + 9; b = u + 8; k = n + 12; t = a + 16; n = c + 10; e = b + 16; u = s + 7; i = t + 9; d = c + 2. If c = 1, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = a + 16 to i, which gives i = a + 25.\n2. Substitute a = v + 8 to i, which gives i = v + 33.\n3. Substitute v = k + 6 to i, which gives i = k + 39.\n4. Substitute k = n + 12 to i, which gives i = n + 51.\n5. Substitute n = c + 10 to i, which gives i = c + 61.\n6. Substitute c = 1 to i, which gives i = 62.\n\nThus, the final answer is i = \\boxed{62}.",
"index": 4496,
"question": "Consider a system of variables where each variable is defined as follows: p = e + 8; a = v + 8; v = k + 6; c = 1; s = d + 9; b = u + 8; k = n + 12; t = a + 16; n = c + 10; e = b + 16; u = s + 7; i = t + 9; d = c + 2. If c = 1, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"s": "g + 14", "k": "s + 11", "l": "k + 14", "p": "l + 12", "i": "p + 19", "r": "i + 17", "y": "g + 1", "q": "y + 5", "f": "q + 15", "v": "f + 17", "h": "v + 5", "j": "h + 13", "g": 6}, "premises": {"g": 6}, "target": "r"}, "answer": {"steps": [["i", "p + 19", "p + 36"], ["p", "l + 12", "l + 48"], ["l", "k + 14", "k + 62"], ["k", "s + 11", "s + 73"], ["s", "g + 14", "g + 87"], ["g", 6, "93"]], "target_var_name": "r", "target_value": 93, "value_dict": {"g": 6}, "is_reverse": true}}
| 4,497
| 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 = h + 13; r = i + 17; g = 6; f = q + 15; i = p + 19; y = g + 1; v = f + 17; h = v + 5; q = y + 5; s = g + 14; k = s + 11; p = l + 12; l = k + 14. If g = 6, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = p + 19 to r, which gives r = p + 36.\n2. Substitute p = l + 12 to r, which gives r = l + 48.\n3. Substitute l = k + 14 to r, which gives r = k + 62.\n4. Substitute k = s + 11 to r, which gives r = s + 73.\n5. Substitute s = g + 14 to r, which gives r = g + 87.\n6. Substitute g = 6 to r, which gives r = 93.\n\nThus, the final answer is r = \\boxed{93}.",
"index": 4497,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = h + 13; r = i + 17; g = 6; f = q + 15; i = p + 19; y = g + 1; v = f + 17; h = v + 5; q = y + 5; s = g + 14; k = s + 11; p = l + 12; l = k + 14. If g = 6, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"a": "n + 5", "h": "a + 9", "g": "h + 11", "k": "g + 14", "j": "k + 11", "x": "j + 12", "y": "n + 3", "s": "y + 11", "m": "s + 9", "r": "m + 19", "d": "r + 7", "q": "d + 18", "n": 4}, "premises": {"n": 4}, "target": "x"}, "answer": {"steps": [["j", "k + 11", "k + 23"], ["k", "g + 14", "g + 37"], ["g", "h + 11", "h + 48"], ["h", "a + 9", "a + 57"], ["a", "n + 5", "n + 62"], ["n", 4, "66"]], "target_var_name": "x", "target_value": 66, "value_dict": {"n": 4}, "is_reverse": true}}
| 4,498
| 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 + 19; m = s + 9; y = n + 3; h = a + 9; x = j + 12; n = 4; s = y + 11; g = h + 11; k = g + 14; a = n + 5; j = k + 11; d = r + 7; q = d + 18. If n = 4, determine 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 j = k + 11 to x, which gives x = k + 23.\n2. Substitute k = g + 14 to x, which gives x = g + 37.\n3. Substitute g = h + 11 to x, which gives x = h + 48.\n4. Substitute h = a + 9 to x, which gives x = a + 57.\n5. Substitute a = n + 5 to x, which gives x = n + 62.\n6. Substitute n = 4 to x, which gives x = 66.\n\nThus, the final answer is x = \\boxed{66}.",
"index": 4498,
"question": "Consider a system of variables where each variable is defined as follows: r = m + 19; m = s + 9; y = n + 3; h = a + 9; x = j + 12; n = 4; s = y + 11; g = h + 11; k = g + 14; a = n + 5; j = k + 11; d = r + 7; q = d + 18. If n = 4, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"b": "c + 19", "p": "b + 17", "a": "p + 10", "h": "a + 1", "i": "h + 8", "j": "i + 8", "n": "c + 14", "t": "n + 3", "l": "t + 20", "s": "l + 4", "z": "s + 8", "o": "z + 7", "c": 14}, "premises": {"c": 14}, "target": "j"}, "answer": {"steps": [["i", "h + 8", "h + 16"], ["h", "a + 1", "a + 17"], ["a", "p + 10", "p + 27"], ["p", "b + 17", "b + 44"], ["b", "c + 19", "c + 63"], ["c", 14, "77"]], "target_var_name": "j", "target_value": 77, "value_dict": {"c": 14}, "is_reverse": true}}
| 4,499
| 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 = i + 8; l = t + 20; z = s + 8; a = p + 10; i = h + 8; c = 14; b = c + 19; s = l + 4; h = a + 1; n = c + 14; t = n + 3; p = b + 17; o = z + 7. If c = 14, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = h + 8 to j, which gives j = h + 16.\n2. Substitute h = a + 1 to j, which gives j = a + 17.\n3. Substitute a = p + 10 to j, which gives j = p + 27.\n4. Substitute p = b + 17 to j, which gives j = b + 44.\n5. Substitute b = c + 19 to j, which gives j = c + 63.\n6. Substitute c = 14 to j, which gives j = 77.\n\nThus, the final answer is j = \\boxed{77}.",
"index": 4499,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = i + 8; l = t + 20; z = s + 8; a = p + 10; i = h + 8; c = 14; b = c + 19; s = l + 4; h = a + 1; n = c + 14; t = n + 3; p = b + 17; o = z + 7. If c = 14, what is the resulting value of j?",
"split": "train"
}
|
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