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25.6k
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stringclasses 1
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listlengths 1
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stringclasses 1
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dict | extra_info
dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"i": "l + 19", "f": "i + 16", "t": "f + 18", "x": "t + 7", "p": "x + 8", "c": "p + 20", "v": "l + 15", "n": "v + 18", "y": "n + 11", "b": "y + 7", "q": "b + 4", "o": "q + 16", "l": 6}, "premises": {"l": 6}, "target": "c"}, "answer": {"steps": [["p", "x + 8", "x + 28"], ["x", "t + 7", "t + 35"], ["t", "f + 18", "f + 53"], ["f", "i + 16", "i + 69"], ["i", "l + 19", "l + 88"], ["l", 6, "94"]], "target_var_name": "c", "target_value": 94, "value_dict": {"l": 6}, "is_reverse": true}}
| 3,200
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = i + 16; b = y + 7; o = q + 16; c = p + 20; n = v + 18; x = t + 7; p = x + 8; i = l + 19; y = n + 11; l = 6; q = b + 4; t = f + 18; v = l + 15. If l = 6, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = x + 8 to c, which gives c = x + 28.\n2. Substitute x = t + 7 to c, which gives c = t + 35.\n3. Substitute t = f + 18 to c, which gives c = f + 53.\n4. Substitute f = i + 16 to c, which gives c = i + 69.\n5. Substitute i = l + 19 to c, which gives c = l + 88.\n6. Substitute l = 6 to c, which gives c = 94.\n\nThus, the final answer is c = \\boxed{94}.",
"index": 3200,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = i + 16; b = y + 7; o = q + 16; c = p + 20; n = v + 18; x = t + 7; p = x + 8; i = l + 19; y = n + 11; l = 6; q = b + 4; t = f + 18; v = l + 15. If l = 6, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"n": "y + 7", "w": "n + 11", "f": "w + 18", "e": "f + 10", "l": "e + 5", "q": "l + 5", "u": "y + 20", "m": "u + 18", "i": "m + 5", "r": "i + 15", "g": "r + 13", "s": "g + 14", "y": 15}, "premises": {"y": 15}, "target": "q"}, "answer": {"steps": [["l", "e + 5", "e + 10"], ["e", "f + 10", "f + 20"], ["f", "w + 18", "w + 38"], ["w", "n + 11", "n + 49"], ["n", "y + 7", "y + 56"], ["y", 15, "71"]], "target_var_name": "q", "target_value": 71, "value_dict": {"y": 15}, "is_reverse": true}}
| 3,201
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = r + 13; i = m + 5; r = i + 15; e = f + 10; w = n + 11; u = y + 20; y = 15; m = u + 18; s = g + 14; l = e + 5; n = y + 7; q = l + 5; f = w + 18. If y = 15, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = e + 5 to q, which gives q = e + 10.\n2. Substitute e = f + 10 to q, which gives q = f + 20.\n3. Substitute f = w + 18 to q, which gives q = w + 38.\n4. Substitute w = n + 11 to q, which gives q = n + 49.\n5. Substitute n = y + 7 to q, which gives q = y + 56.\n6. Substitute y = 15 to q, which gives q = 71.\n\nThus, the final answer is q = \\boxed{71}.",
"index": 3201,
"question": "Consider a system of variables where each variable is defined as follows: g = r + 13; i = m + 5; r = i + 15; e = f + 10; w = n + 11; u = y + 20; y = 15; m = u + 18; s = g + 14; l = e + 5; n = y + 7; q = l + 5; f = w + 18. If y = 15, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"s": "c + 3", "z": "s + 8", "r": "z + 16", "e": "r + 16", "k": "e + 8", "o": "k + 5", "p": "c + 14", "m": "p + 6", "b": "m + 5", "d": "b + 15", "f": "d + 18", "q": "f + 7", "c": 2}, "premises": {"c": 2}, "target": "o"}, "answer": {"steps": [["k", "e + 8", "e + 13"], ["e", "r + 16", "r + 29"], ["r", "z + 16", "z + 45"], ["z", "s + 8", "s + 53"], ["s", "c + 3", "c + 56"], ["c", 2, "58"]], "target_var_name": "o", "target_value": 58, "value_dict": {"c": 2}, "is_reverse": true}}
| 3,202
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = k + 5; f = d + 18; p = c + 14; q = f + 7; e = r + 16; m = p + 6; c = 2; z = s + 8; r = z + 16; s = c + 3; k = e + 8; d = b + 15; b = m + 5. If c = 2, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = e + 8 to o, which gives o = e + 13.\n2. Substitute e = r + 16 to o, which gives o = r + 29.\n3. Substitute r = z + 16 to o, which gives o = z + 45.\n4. Substitute z = s + 8 to o, which gives o = s + 53.\n5. Substitute s = c + 3 to o, which gives o = c + 56.\n6. Substitute c = 2 to o, which gives o = 58.\n\nThus, the final answer is o = \\boxed{58}.",
"index": 3202,
"question": "Consider a system of variables where each variable is defined as follows: o = k + 5; f = d + 18; p = c + 14; q = f + 7; e = r + 16; m = p + 6; c = 2; z = s + 8; r = z + 16; s = c + 3; k = e + 8; d = b + 15; b = m + 5. If c = 2, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"o": "l + 18", "t": "o + 16", "x": "t + 8", "i": "x + 2", "s": "i + 6", "d": "s + 4", "j": "l + 8", "r": "j + 13", "a": "r + 10", "m": "a + 17", "y": "m + 19", "w": "y + 9", "l": 3}, "premises": {"l": 3}, "target": "d"}, "answer": {"steps": [["s", "i + 6", "i + 10"], ["i", "x + 2", "x + 12"], ["x", "t + 8", "t + 20"], ["t", "o + 16", "o + 36"], ["o", "l + 18", "l + 54"], ["l", 3, "57"]], "target_var_name": "d", "target_value": 57, "value_dict": {"l": 3}, "is_reverse": true}}
| 3,203
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = r + 10; m = a + 17; l = 3; i = x + 2; d = s + 4; x = t + 8; t = o + 16; s = i + 6; j = l + 8; y = m + 19; o = l + 18; r = j + 13; w = y + 9. Given that l = 3, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = i + 6 to d, which gives d = i + 10.\n2. Substitute i = x + 2 to d, which gives d = x + 12.\n3. Substitute x = t + 8 to d, which gives d = t + 20.\n4. Substitute t = o + 16 to d, which gives d = o + 36.\n5. Substitute o = l + 18 to d, which gives d = l + 54.\n6. Substitute l = 3 to d, which gives d = 57.\n\nThus, the final answer is d = \\boxed{57}.",
"index": 3203,
"question": "Suppose a collection of variables is related by the following definitions: a = r + 10; m = a + 17; l = 3; i = x + 2; d = s + 4; x = t + 8; t = o + 16; s = i + 6; j = l + 8; y = m + 19; o = l + 18; r = j + 13; w = y + 9. Given that l = 3, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"q": "r + 1", "d": "q + 15", "o": "d + 13", "b": "o + 8", "e": "b + 15", "f": "e + 16", "y": "r + 6", "s": "y + 13", "u": "s + 9", "i": "u + 10", "n": "i + 19", "h": "n + 9", "r": 13}, "premises": {"r": 13}, "target": "f"}, "answer": {"steps": [["e", "b + 15", "b + 31"], ["b", "o + 8", "o + 39"], ["o", "d + 13", "d + 52"], ["d", "q + 15", "q + 67"], ["q", "r + 1", "r + 68"], ["r", 13, "81"]], "target_var_name": "f", "target_value": 81, "value_dict": {"r": 13}, "is_reverse": true}}
| 3,204
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = r + 6; b = o + 8; o = d + 13; e = b + 15; i = u + 10; n = i + 19; s = y + 13; r = 13; h = n + 9; d = q + 15; u = s + 9; f = e + 16; q = r + 1. Given that r = 13, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = b + 15 to f, which gives f = b + 31.\n2. Substitute b = o + 8 to f, which gives f = o + 39.\n3. Substitute o = d + 13 to f, which gives f = d + 52.\n4. Substitute d = q + 15 to f, which gives f = q + 67.\n5. Substitute q = r + 1 to f, which gives f = r + 68.\n6. Substitute r = 13 to f, which gives f = 81.\n\nThus, the final answer is f = \\boxed{81}.",
"index": 3204,
"question": "Suppose a collection of variables is related by the following definitions: y = r + 6; b = o + 8; o = d + 13; e = b + 15; i = u + 10; n = i + 19; s = y + 13; r = 13; h = n + 9; d = q + 15; u = s + 9; f = e + 16; q = r + 1. Given that r = 13, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"k": "r + 16", "u": "k + 16", "y": "u + 18", "e": "y + 9", "z": "e + 4", "m": "z + 17", "a": "r + 3", "l": "a + 11", "x": "l + 12", "w": "x + 3", "v": "w + 10", "c": "v + 16", "r": 2}, "premises": {"r": 2}, "target": "m"}, "answer": {"steps": [["z", "e + 4", "e + 21"], ["e", "y + 9", "y + 30"], ["y", "u + 18", "u + 48"], ["u", "k + 16", "k + 64"], ["k", "r + 16", "r + 80"], ["r", 2, "82"]], "target_var_name": "m", "target_value": 82, "value_dict": {"r": 2}, "is_reverse": true}}
| 3,205
| 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 + 16; e = y + 9; l = a + 11; z = e + 4; m = z + 17; v = w + 10; c = v + 16; y = u + 18; w = x + 3; k = r + 16; x = l + 12; a = r + 3; r = 2. If r = 2, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = e + 4 to m, which gives m = e + 21.\n2. Substitute e = y + 9 to m, which gives m = y + 30.\n3. Substitute y = u + 18 to m, which gives m = u + 48.\n4. Substitute u = k + 16 to m, which gives m = k + 64.\n5. Substitute k = r + 16 to m, which gives m = r + 80.\n6. Substitute r = 2 to m, which gives m = 82.\n\nThus, the final answer is m = \\boxed{82}.",
"index": 3205,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = k + 16; e = y + 9; l = a + 11; z = e + 4; m = z + 17; v = w + 10; c = v + 16; y = u + 18; w = x + 3; k = r + 16; x = l + 12; a = r + 3; r = 2. If r = 2, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"w": "n + 14", "c": "w + 9", "h": "c + 10", "f": "h + 10", "k": "f + 2", "u": "k + 11", "x": "n + 8", "g": "x + 16", "i": "g + 6", "l": "i + 14", "m": "l + 6", "d": "m + 5", "n": 18}, "premises": {"n": 18}, "target": "u"}, "answer": {"steps": [["k", "f + 2", "f + 13"], ["f", "h + 10", "h + 23"], ["h", "c + 10", "c + 33"], ["c", "w + 9", "w + 42"], ["w", "n + 14", "n + 56"], ["n", 18, "74"]], "target_var_name": "u", "target_value": 74, "value_dict": {"n": 18}, "is_reverse": true}}
| 3,206
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = x + 16; u = k + 11; h = c + 10; d = m + 5; l = i + 14; w = n + 14; k = f + 2; f = h + 10; i = g + 6; n = 18; m = l + 6; x = n + 8; c = w + 9. If n = 18, what is the resulting 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 = f + 2 to u, which gives u = f + 13.\n2. Substitute f = h + 10 to u, which gives u = h + 23.\n3. Substitute h = c + 10 to u, which gives u = c + 33.\n4. Substitute c = w + 9 to u, which gives u = w + 42.\n5. Substitute w = n + 14 to u, which gives u = n + 56.\n6. Substitute n = 18 to u, which gives u = 74.\n\nThus, the final answer is u = \\boxed{74}.",
"index": 3206,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = x + 16; u = k + 11; h = c + 10; d = m + 5; l = i + 14; w = n + 14; k = f + 2; f = h + 10; i = g + 6; n = 18; m = l + 6; x = n + 8; c = w + 9. If n = 18, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"a": "p + 20", "v": "a + 13", "f": "v + 18", "l": "f + 3", "u": "l + 10", "x": "u + 7", "o": "p + 10", "s": "o + 5", "w": "s + 17", "r": "w + 17", "z": "r + 7", "h": "z + 1", "p": 6}, "premises": {"p": 6}, "target": "x"}, "answer": {"steps": [["u", "l + 10", "l + 17"], ["l", "f + 3", "f + 20"], ["f", "v + 18", "v + 38"], ["v", "a + 13", "a + 51"], ["a", "p + 20", "p + 71"], ["p", 6, "77"]], "target_var_name": "x", "target_value": 77, "value_dict": {"p": 6}, "is_reverse": true}}
| 3,207
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = p + 20; r = w + 17; h = z + 1; o = p + 10; x = u + 7; s = o + 5; z = r + 7; v = a + 13; f = v + 18; w = s + 17; p = 6; l = f + 3; u = l + 10. Given that p = 6, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = l + 10 to x, which gives x = l + 17.\n2. Substitute l = f + 3 to x, which gives x = f + 20.\n3. Substitute f = v + 18 to x, which gives x = v + 38.\n4. Substitute v = a + 13 to x, which gives x = a + 51.\n5. Substitute a = p + 20 to x, which gives x = p + 71.\n6. Substitute p = 6 to x, which gives x = 77.\n\nThus, the final answer is x = \\boxed{77}.",
"index": 3207,
"question": "Suppose a collection of variables is related by the following definitions: a = p + 20; r = w + 17; h = z + 1; o = p + 10; x = u + 7; s = o + 5; z = r + 7; v = a + 13; f = v + 18; w = s + 17; p = 6; l = f + 3; u = l + 10. Given that p = 6, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"y": "r + 2", "m": "y + 17", "b": "m + 19", "h": "b + 18", "t": "h + 4", "f": "t + 6", "i": "r + 7", "g": "i + 12", "w": "g + 20", "k": "w + 17", "x": "k + 2", "n": "x + 14", "r": 10}, "premises": {"r": 10}, "target": "f"}, "answer": {"steps": [["t", "h + 4", "h + 10"], ["h", "b + 18", "b + 28"], ["b", "m + 19", "m + 47"], ["m", "y + 17", "y + 64"], ["y", "r + 2", "r + 66"], ["r", 10, "76"]], "target_var_name": "f", "target_value": 76, "value_dict": {"r": 10}, "is_reverse": true}}
| 3,208
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = i + 12; x = k + 2; t = h + 4; w = g + 20; y = r + 2; n = x + 14; m = y + 17; k = w + 17; i = r + 7; f = t + 6; h = b + 18; b = m + 19; r = 10. If r = 10, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = h + 4 to f, which gives f = h + 10.\n2. Substitute h = b + 18 to f, which gives f = b + 28.\n3. Substitute b = m + 19 to f, which gives f = m + 47.\n4. Substitute m = y + 17 to f, which gives f = y + 64.\n5. Substitute y = r + 2 to f, which gives f = r + 66.\n6. Substitute r = 10 to f, which gives f = 76.\n\nThus, the final answer is f = \\boxed{76}.",
"index": 3208,
"question": "Consider a system of variables where each variable is defined as follows: g = i + 12; x = k + 2; t = h + 4; w = g + 20; y = r + 2; n = x + 14; m = y + 17; k = w + 17; i = r + 7; f = t + 6; h = b + 18; b = m + 19; r = 10. If r = 10, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"j": "b + 20", "c": "j + 10", "a": "c + 15", "h": "a + 6", "k": "h + 7", "l": "k + 12", "m": "b + 1", "n": "m + 5", "u": "n + 2", "v": "u + 9", "x": "v + 4", "o": "x + 19", "b": 19}, "premises": {"b": 19}, "target": "l"}, "answer": {"steps": [["k", "h + 7", "h + 19"], ["h", "a + 6", "a + 25"], ["a", "c + 15", "c + 40"], ["c", "j + 10", "j + 50"], ["j", "b + 20", "b + 70"], ["b", 19, "89"]], "target_var_name": "l", "target_value": 89, "value_dict": {"b": 19}, "is_reverse": true}}
| 3,209
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = k + 12; a = c + 15; h = a + 6; u = n + 2; v = u + 9; o = x + 19; c = j + 10; x = v + 4; b = 19; n = m + 5; k = h + 7; j = b + 20; m = b + 1. If b = 19, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = h + 7 to l, which gives l = h + 19.\n2. Substitute h = a + 6 to l, which gives l = a + 25.\n3. Substitute a = c + 15 to l, which gives l = c + 40.\n4. Substitute c = j + 10 to l, which gives l = j + 50.\n5. Substitute j = b + 20 to l, which gives l = b + 70.\n6. Substitute b = 19 to l, which gives l = 89.\n\nThus, the final answer is l = \\boxed{89}.",
"index": 3209,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = k + 12; a = c + 15; h = a + 6; u = n + 2; v = u + 9; o = x + 19; c = j + 10; x = v + 4; b = 19; n = m + 5; k = h + 7; j = b + 20; m = b + 1. If b = 19, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"v": "d + 14", "x": "v + 4", "i": "x + 15", "j": "i + 11", "e": "j + 3", "k": "e + 13", "t": "d + 3", "g": "t + 1", "o": "g + 8", "h": "o + 13", "b": "h + 5", "r": "b + 16", "d": 14}, "premises": {"d": 14}, "target": "k"}, "answer": {"steps": [["e", "j + 3", "j + 16"], ["j", "i + 11", "i + 27"], ["i", "x + 15", "x + 42"], ["x", "v + 4", "v + 46"], ["v", "d + 14", "d + 60"], ["d", 14, "74"]], "target_var_name": "k", "target_value": 74, "value_dict": {"d": 14}, "is_reverse": true}}
| 3,210
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = t + 1; b = h + 5; j = i + 11; r = b + 16; i = x + 15; t = d + 3; v = d + 14; e = j + 3; o = g + 8; k = e + 13; d = 14; x = v + 4; h = o + 13. If d = 14, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = j + 3 to k, which gives k = j + 16.\n2. Substitute j = i + 11 to k, which gives k = i + 27.\n3. Substitute i = x + 15 to k, which gives k = x + 42.\n4. Substitute x = v + 4 to k, which gives k = v + 46.\n5. Substitute v = d + 14 to k, which gives k = d + 60.\n6. Substitute d = 14 to k, which gives k = 74.\n\nThus, the final answer is k = \\boxed{74}.",
"index": 3210,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = t + 1; b = h + 5; j = i + 11; r = b + 16; i = x + 15; t = d + 3; v = d + 14; e = j + 3; o = g + 8; k = e + 13; d = 14; x = v + 4; h = o + 13. If d = 14, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"o": "r + 1", "u": "o + 15", "a": "u + 7", "e": "a + 9", "c": "e + 18", "y": "c + 9", "v": "r + 3", "i": "v + 1", "f": "i + 17", "p": "f + 14", "z": "p + 3", "j": "z + 7", "r": 15}, "premises": {"r": 15}, "target": "y"}, "answer": {"steps": [["c", "e + 18", "e + 27"], ["e", "a + 9", "a + 36"], ["a", "u + 7", "u + 43"], ["u", "o + 15", "o + 58"], ["o", "r + 1", "r + 59"], ["r", 15, "74"]], "target_var_name": "y", "target_value": 74, "value_dict": {"r": 15}, "is_reverse": true}}
| 3,211
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = r + 3; y = c + 9; p = f + 14; e = a + 9; o = r + 1; f = i + 17; j = z + 7; z = p + 3; u = o + 15; c = e + 18; i = v + 1; a = u + 7; r = 15. Given that r = 15, find the 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 c = e + 18 to y, which gives y = e + 27.\n2. Substitute e = a + 9 to y, which gives y = a + 36.\n3. Substitute a = u + 7 to y, which gives y = u + 43.\n4. Substitute u = o + 15 to y, which gives y = o + 58.\n5. Substitute o = r + 1 to y, which gives y = r + 59.\n6. Substitute r = 15 to y, which gives y = 74.\n\nThus, the final answer is y = \\boxed{74}.",
"index": 3211,
"question": "Suppose a collection of variables is related by the following definitions: v = r + 3; y = c + 9; p = f + 14; e = a + 9; o = r + 1; f = i + 17; j = z + 7; z = p + 3; u = o + 15; c = e + 18; i = v + 1; a = u + 7; r = 15. Given that r = 15, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"n": "e + 16", "c": "n + 20", "z": "c + 20", "b": "z + 7", "p": "b + 10", "j": "p + 9", "g": "e + 2", "y": "g + 11", "q": "y + 3", "h": "q + 19", "k": "h + 11", "x": "k + 15", "e": 20}, "premises": {"e": 20}, "target": "j"}, "answer": {"steps": [["p", "b + 10", "b + 19"], ["b", "z + 7", "z + 26"], ["z", "c + 20", "c + 46"], ["c", "n + 20", "n + 66"], ["n", "e + 16", "e + 82"], ["e", 20, "102"]], "target_var_name": "j", "target_value": 102, "value_dict": {"e": 20}, "is_reverse": true}}
| 3,212
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = e + 2; q = y + 3; y = g + 11; n = e + 16; z = c + 20; c = n + 20; h = q + 19; j = p + 9; k = h + 11; b = z + 7; p = b + 10; x = k + 15; e = 20. If e = 20, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 102,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = b + 10 to j, which gives j = b + 19.\n2. Substitute b = z + 7 to j, which gives j = z + 26.\n3. Substitute z = c + 20 to j, which gives j = c + 46.\n4. Substitute c = n + 20 to j, which gives j = n + 66.\n5. Substitute n = e + 16 to j, which gives j = e + 82.\n6. Substitute e = 20 to j, which gives j = 102.\n\nThus, the final answer is j = \\boxed{102}.",
"index": 3212,
"question": "Consider a system of variables where each variable is defined as follows: g = e + 2; q = y + 3; y = g + 11; n = e + 16; z = c + 20; c = n + 20; h = q + 19; j = p + 9; k = h + 11; b = z + 7; p = b + 10; x = k + 15; e = 20. If e = 20, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"t": "e + 16", "o": "t + 20", "s": "o + 10", "h": "s + 10", "c": "h + 14", "y": "c + 10", "g": "e + 18", "a": "g + 15", "b": "a + 4", "z": "b + 13", "v": "z + 7", "m": "v + 14", "e": 12}, "premises": {"e": 12}, "target": "y"}, "answer": {"steps": [["c", "h + 14", "h + 24"], ["h", "s + 10", "s + 34"], ["s", "o + 10", "o + 44"], ["o", "t + 20", "t + 64"], ["t", "e + 16", "e + 80"], ["e", 12, "92"]], "target_var_name": "y", "target_value": 92, "value_dict": {"e": 12}, "is_reverse": true}}
| 3,213
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = z + 7; c = h + 14; a = g + 15; b = a + 4; t = e + 16; o = t + 20; y = c + 10; g = e + 18; s = o + 10; h = s + 10; z = b + 13; m = v + 14; e = 12. Given that e = 12, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = h + 14 to y, which gives y = h + 24.\n2. Substitute h = s + 10 to y, which gives y = s + 34.\n3. Substitute s = o + 10 to y, which gives y = o + 44.\n4. Substitute o = t + 20 to y, which gives y = t + 64.\n5. Substitute t = e + 16 to y, which gives y = e + 80.\n6. Substitute e = 12 to y, which gives y = 92.\n\nThus, the final answer is y = \\boxed{92}.",
"index": 3213,
"question": "Suppose a collection of variables is related by the following definitions: v = z + 7; c = h + 14; a = g + 15; b = a + 4; t = e + 16; o = t + 20; y = c + 10; g = e + 18; s = o + 10; h = s + 10; z = b + 13; m = v + 14; e = 12. Given that e = 12, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"g": "a + 5", "i": "g + 1", "q": "i + 7", "m": "q + 17", "h": "m + 5", "l": "h + 17", "v": "a + 7", "y": "v + 8", "p": "y + 15", "s": "p + 5", "o": "s + 8", "c": "o + 5", "a": 10}, "premises": {"a": 10}, "target": "l"}, "answer": {"steps": [["h", "m + 5", "m + 22"], ["m", "q + 17", "q + 39"], ["q", "i + 7", "i + 46"], ["i", "g + 1", "g + 47"], ["g", "a + 5", "a + 52"], ["a", 10, "62"]], "target_var_name": "l", "target_value": 62, "value_dict": {"a": 10}, "is_reverse": true}}
| 3,214
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = o + 5; g = a + 5; i = g + 1; v = a + 7; p = y + 15; q = i + 7; h = m + 5; m = q + 17; l = h + 17; y = v + 8; a = 10; o = s + 8; s = p + 5. If a = 10, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = m + 5 to l, which gives l = m + 22.\n2. Substitute m = q + 17 to l, which gives l = q + 39.\n3. Substitute q = i + 7 to l, which gives l = i + 46.\n4. Substitute i = g + 1 to l, which gives l = g + 47.\n5. Substitute g = a + 5 to l, which gives l = a + 52.\n6. Substitute a = 10 to l, which gives l = 62.\n\nThus, the final answer is l = \\boxed{62}.",
"index": 3214,
"question": "Consider a system of variables where each variable is defined as follows: c = o + 5; g = a + 5; i = g + 1; v = a + 7; p = y + 15; q = i + 7; h = m + 5; m = q + 17; l = h + 17; y = v + 8; a = 10; o = s + 8; s = p + 5. If a = 10, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"p": "j + 16", "v": "p + 18", "x": "v + 19", "s": "x + 1", "i": "s + 11", "o": "i + 17", "d": "j + 5", "l": "d + 19", "a": "l + 10", "t": "a + 18", "b": "t + 17", "u": "b + 19", "j": 11}, "premises": {"j": 11}, "target": "o"}, "answer": {"steps": [["i", "s + 11", "s + 28"], ["s", "x + 1", "x + 29"], ["x", "v + 19", "v + 48"], ["v", "p + 18", "p + 66"], ["p", "j + 16", "j + 82"], ["j", 11, "93"]], "target_var_name": "o", "target_value": 93, "value_dict": {"j": 11}, "is_reverse": true}}
| 3,215
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = a + 18; o = i + 17; j = 11; v = p + 18; s = x + 1; b = t + 17; a = l + 10; i = s + 11; d = j + 5; l = d + 19; x = v + 19; u = b + 19; p = j + 16. Given that j = 11, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = s + 11 to o, which gives o = s + 28.\n2. Substitute s = x + 1 to o, which gives o = x + 29.\n3. Substitute x = v + 19 to o, which gives o = v + 48.\n4. Substitute v = p + 18 to o, which gives o = p + 66.\n5. Substitute p = j + 16 to o, which gives o = j + 82.\n6. Substitute j = 11 to o, which gives o = 93.\n\nThus, the final answer is o = \\boxed{93}.",
"index": 3215,
"question": "Suppose a collection of variables is related by the following definitions: t = a + 18; o = i + 17; j = 11; v = p + 18; s = x + 1; b = t + 17; a = l + 10; i = s + 11; d = j + 5; l = d + 19; x = v + 19; u = b + 19; p = j + 16. Given that j = 11, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"m": "a + 12", "l": "m + 8", "u": "l + 14", "y": "u + 4", "z": "y + 17", "q": "z + 20", "g": "a + 6", "s": "g + 20", "r": "s + 8", "i": "r + 3", "n": "i + 3", "b": "n + 19", "a": 1}, "premises": {"a": 1}, "target": "q"}, "answer": {"steps": [["z", "y + 17", "y + 37"], ["y", "u + 4", "u + 41"], ["u", "l + 14", "l + 55"], ["l", "m + 8", "m + 63"], ["m", "a + 12", "a + 75"], ["a", 1, "76"]], "target_var_name": "q", "target_value": 76, "value_dict": {"a": 1}, "is_reverse": true}}
| 3,216
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = 1; g = a + 6; b = n + 19; q = z + 20; n = i + 3; y = u + 4; r = s + 8; m = a + 12; z = y + 17; s = g + 20; i = r + 3; l = m + 8; u = l + 14. If a = 1, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = y + 17 to q, which gives q = y + 37.\n2. Substitute y = u + 4 to q, which gives q = u + 41.\n3. Substitute u = l + 14 to q, which gives q = l + 55.\n4. Substitute l = m + 8 to q, which gives q = m + 63.\n5. Substitute m = a + 12 to q, which gives q = a + 75.\n6. Substitute a = 1 to q, which gives q = 76.\n\nThus, the final answer is q = \\boxed{76}.",
"index": 3216,
"question": "Consider a system of variables where each variable is defined as follows: a = 1; g = a + 6; b = n + 19; q = z + 20; n = i + 3; y = u + 4; r = s + 8; m = a + 12; z = y + 17; s = g + 20; i = r + 3; l = m + 8; u = l + 14. If a = 1, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"t": "d + 5", "o": "t + 3", "g": "o + 15", "u": "g + 12", "m": "u + 7", "y": "m + 7", "a": "d + 8", "q": "a + 13", "x": "q + 9", "s": "x + 11", "j": "s + 14", "c": "j + 13", "d": 12}, "premises": {"d": 12}, "target": "y"}, "answer": {"steps": [["m", "u + 7", "u + 14"], ["u", "g + 12", "g + 26"], ["g", "o + 15", "o + 41"], ["o", "t + 3", "t + 44"], ["t", "d + 5", "d + 49"], ["d", 12, "61"]], "target_var_name": "y", "target_value": 61, "value_dict": {"d": 12}, "is_reverse": true}}
| 3,217
| 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 = 12; m = u + 7; a = d + 8; c = j + 13; j = s + 14; q = a + 13; u = g + 12; g = o + 15; x = q + 9; s = x + 11; o = t + 3; t = d + 5; y = m + 7. If d = 12, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = u + 7 to y, which gives y = u + 14.\n2. Substitute u = g + 12 to y, which gives y = g + 26.\n3. Substitute g = o + 15 to y, which gives y = o + 41.\n4. Substitute o = t + 3 to y, which gives y = t + 44.\n5. Substitute t = d + 5 to y, which gives y = d + 49.\n6. Substitute d = 12 to y, which gives y = 61.\n\nThus, the final answer is y = \\boxed{61}.",
"index": 3217,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = 12; m = u + 7; a = d + 8; c = j + 13; j = s + 14; q = a + 13; u = g + 12; g = o + 15; x = q + 9; s = x + 11; o = t + 3; t = d + 5; y = m + 7. If d = 12, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"o": "f + 2", "v": "o + 13", "k": "v + 11", "z": "k + 11", "u": "z + 15", "l": "u + 16", "a": "f + 4", "p": "a + 8", "e": "p + 1", "s": "e + 12", "y": "s + 20", "j": "y + 15", "f": 7}, "premises": {"f": 7}, "target": "l"}, "answer": {"steps": [["u", "z + 15", "z + 31"], ["z", "k + 11", "k + 42"], ["k", "v + 11", "v + 53"], ["v", "o + 13", "o + 66"], ["o", "f + 2", "f + 68"], ["f", 7, "75"]], "target_var_name": "l", "target_value": 75, "value_dict": {"f": 7}, "is_reverse": true}}
| 3,218
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = f + 2; f = 7; j = y + 15; a = f + 4; v = o + 13; z = k + 11; e = p + 1; s = e + 12; y = s + 20; k = v + 11; l = u + 16; u = z + 15; p = a + 8. Given that f = 7, 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 u = z + 15 to l, which gives l = z + 31.\n2. Substitute z = k + 11 to l, which gives l = k + 42.\n3. Substitute k = v + 11 to l, which gives l = v + 53.\n4. Substitute v = o + 13 to l, which gives l = o + 66.\n5. Substitute o = f + 2 to l, which gives l = f + 68.\n6. Substitute f = 7 to l, which gives l = 75.\n\nThus, the final answer is l = \\boxed{75}.",
"index": 3218,
"question": "Suppose a collection of variables is related by the following definitions: o = f + 2; f = 7; j = y + 15; a = f + 4; v = o + 13; z = k + 11; e = p + 1; s = e + 12; y = s + 20; k = v + 11; l = u + 16; u = z + 15; p = a + 8. Given that f = 7, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"t": "k + 16", "y": "t + 16", "x": "y + 8", "d": "x + 20", "o": "d + 3", "g": "o + 17", "a": "k + 4", "i": "a + 7", "j": "i + 4", "c": "j + 17", "q": "c + 11", "e": "q + 2", "k": 10}, "premises": {"k": 10}, "target": "g"}, "answer": {"steps": [["o", "d + 3", "d + 20"], ["d", "x + 20", "x + 40"], ["x", "y + 8", "y + 48"], ["y", "t + 16", "t + 64"], ["t", "k + 16", "k + 80"], ["k", 10, "90"]], "target_var_name": "g", "target_value": 90, "value_dict": {"k": 10}, "is_reverse": true}}
| 3,219
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = i + 4; e = q + 2; t = k + 16; i = a + 7; q = c + 11; y = t + 16; x = y + 8; k = 10; a = k + 4; c = j + 17; d = x + 20; g = o + 17; o = d + 3. If k = 10, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = d + 3 to g, which gives g = d + 20.\n2. Substitute d = x + 20 to g, which gives g = x + 40.\n3. Substitute x = y + 8 to g, which gives g = y + 48.\n4. Substitute y = t + 16 to g, which gives g = t + 64.\n5. Substitute t = k + 16 to g, which gives g = k + 80.\n6. Substitute k = 10 to g, which gives g = 90.\n\nThus, the final answer is g = \\boxed{90}.",
"index": 3219,
"question": "Consider a system of variables where each variable is defined as follows: j = i + 4; e = q + 2; t = k + 16; i = a + 7; q = c + 11; y = t + 16; x = y + 8; k = 10; a = k + 4; c = j + 17; d = x + 20; g = o + 17; o = d + 3. If k = 10, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"i": "r + 2", "s": "i + 9", "a": "s + 10", "u": "a + 3", "b": "u + 8", "g": "b + 6", "d": "r + 15", "l": "d + 9", "q": "l + 11", "x": "q + 12", "h": "x + 10", "z": "h + 12", "r": 18}, "premises": {"r": 18}, "target": "g"}, "answer": {"steps": [["b", "u + 8", "u + 14"], ["u", "a + 3", "a + 17"], ["a", "s + 10", "s + 27"], ["s", "i + 9", "i + 36"], ["i", "r + 2", "r + 38"], ["r", 18, "56"]], "target_var_name": "g", "target_value": 56, "value_dict": {"r": 18}, "is_reverse": true}}
| 3,220
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = 18; x = q + 12; l = d + 9; s = i + 9; d = r + 15; g = b + 6; i = r + 2; u = a + 3; a = s + 10; q = l + 11; z = h + 12; h = x + 10; b = u + 8. Given that r = 18, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = u + 8 to g, which gives g = u + 14.\n2. Substitute u = a + 3 to g, which gives g = a + 17.\n3. Substitute a = s + 10 to g, which gives g = s + 27.\n4. Substitute s = i + 9 to g, which gives g = i + 36.\n5. Substitute i = r + 2 to g, which gives g = r + 38.\n6. Substitute r = 18 to g, which gives g = 56.\n\nThus, the final answer is g = \\boxed{56}.",
"index": 3220,
"question": "Suppose a collection of variables is related by the following definitions: r = 18; x = q + 12; l = d + 9; s = i + 9; d = r + 15; g = b + 6; i = r + 2; u = a + 3; a = s + 10; q = l + 11; z = h + 12; h = x + 10; b = u + 8. Given that r = 18, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"f": "l + 1", "m": "f + 17", "j": "m + 19", "n": "j + 14", "b": "n + 20", "g": "b + 11", "u": "l + 15", "r": "u + 19", "o": "r + 20", "v": "o + 15", "z": "v + 19", "i": "z + 3", "l": 9}, "premises": {"l": 9}, "target": "g"}, "answer": {"steps": [["b", "n + 20", "n + 31"], ["n", "j + 14", "j + 45"], ["j", "m + 19", "m + 64"], ["m", "f + 17", "f + 81"], ["f", "l + 1", "l + 82"], ["l", 9, "91"]], "target_var_name": "g", "target_value": 91, "value_dict": {"l": 9}, "is_reverse": true}}
| 3,221
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = j + 14; l = 9; f = l + 1; o = r + 20; v = o + 15; r = u + 19; m = f + 17; z = v + 19; b = n + 20; i = z + 3; j = m + 19; u = l + 15; g = b + 11. If l = 9, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = n + 20 to g, which gives g = n + 31.\n2. Substitute n = j + 14 to g, which gives g = j + 45.\n3. Substitute j = m + 19 to g, which gives g = m + 64.\n4. Substitute m = f + 17 to g, which gives g = f + 81.\n5. Substitute f = l + 1 to g, which gives g = l + 82.\n6. Substitute l = 9 to g, which gives g = 91.\n\nThus, the final answer is g = \\boxed{91}.",
"index": 3221,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = j + 14; l = 9; f = l + 1; o = r + 20; v = o + 15; r = u + 19; m = f + 17; z = v + 19; b = n + 20; i = z + 3; j = m + 19; u = l + 15; g = b + 11. If l = 9, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"q": "i + 20", "r": "q + 17", "k": "r + 19", "m": "k + 5", "z": "m + 13", "b": "z + 14", "f": "i + 3", "v": "f + 12", "l": "v + 9", "x": "l + 4", "a": "x + 1", "n": "a + 16", "i": 12}, "premises": {"i": 12}, "target": "b"}, "answer": {"steps": [["z", "m + 13", "m + 27"], ["m", "k + 5", "k + 32"], ["k", "r + 19", "r + 51"], ["r", "q + 17", "q + 68"], ["q", "i + 20", "i + 88"], ["i", 12, "100"]], "target_var_name": "b", "target_value": 100, "value_dict": {"i": 12}, "is_reverse": true}}
| 3,222
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = f + 12; x = l + 4; b = z + 14; f = i + 3; m = k + 5; n = a + 16; l = v + 9; a = x + 1; z = m + 13; r = q + 17; q = i + 20; i = 12; k = r + 19. If i = 12, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 100,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = m + 13 to b, which gives b = m + 27.\n2. Substitute m = k + 5 to b, which gives b = k + 32.\n3. Substitute k = r + 19 to b, which gives b = r + 51.\n4. Substitute r = q + 17 to b, which gives b = q + 68.\n5. Substitute q = i + 20 to b, which gives b = i + 88.\n6. Substitute i = 12 to b, which gives b = 100.\n\nThus, the final answer is b = \\boxed{100}.",
"index": 3222,
"question": "Consider a system of variables where each variable is defined as follows: v = f + 12; x = l + 4; b = z + 14; f = i + 3; m = k + 5; n = a + 16; l = v + 9; a = x + 1; z = m + 13; r = q + 17; q = i + 20; i = 12; k = r + 19. If i = 12, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"s": "k + 5", "p": "s + 18", "y": "p + 16", "h": "y + 15", "j": "h + 5", "u": "j + 16", "o": "k + 6", "w": "o + 3", "e": "w + 4", "v": "e + 13", "i": "v + 3", "g": "i + 20", "k": 9}, "premises": {"k": 9}, "target": "u"}, "answer": {"steps": [["j", "h + 5", "h + 21"], ["h", "y + 15", "y + 36"], ["y", "p + 16", "p + 52"], ["p", "s + 18", "s + 70"], ["s", "k + 5", "k + 75"], ["k", 9, "84"]], "target_var_name": "u", "target_value": 84, "value_dict": {"k": 9}, "is_reverse": true}}
| 3,223
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = 9; g = i + 20; h = y + 15; e = w + 4; w = o + 3; y = p + 16; s = k + 5; o = k + 6; p = s + 18; v = e + 13; j = h + 5; i = v + 3; u = j + 16. If k = 9, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = h + 5 to u, which gives u = h + 21.\n2. Substitute h = y + 15 to u, which gives u = y + 36.\n3. Substitute y = p + 16 to u, which gives u = p + 52.\n4. Substitute p = s + 18 to u, which gives u = s + 70.\n5. Substitute s = k + 5 to u, which gives u = k + 75.\n6. Substitute k = 9 to u, which gives u = 84.\n\nThus, the final answer is u = \\boxed{84}.",
"index": 3223,
"question": "Consider a system of variables where each variable is defined as follows: k = 9; g = i + 20; h = y + 15; e = w + 4; w = o + 3; y = p + 16; s = k + 5; o = k + 6; p = s + 18; v = e + 13; j = h + 5; i = v + 3; u = j + 16. If k = 9, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"l": "q + 10", "j": "l + 11", "c": "j + 17", "r": "c + 9", "e": "r + 16", "k": "e + 13", "n": "q + 13", "d": "n + 3", "b": "d + 6", "f": "b + 12", "z": "f + 14", "h": "z + 19", "q": 2}, "premises": {"q": 2}, "target": "k"}, "answer": {"steps": [["e", "r + 16", "r + 29"], ["r", "c + 9", "c + 38"], ["c", "j + 17", "j + 55"], ["j", "l + 11", "l + 66"], ["l", "q + 10", "q + 76"], ["q", 2, "78"]], "target_var_name": "k", "target_value": 78, "value_dict": {"q": 2}, "is_reverse": true}}
| 3,224
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = n + 3; l = q + 10; n = q + 13; f = b + 12; b = d + 6; q = 2; e = r + 16; z = f + 14; c = j + 17; h = z + 19; k = e + 13; j = l + 11; r = c + 9. Given that q = 2, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = r + 16 to k, which gives k = r + 29.\n2. Substitute r = c + 9 to k, which gives k = c + 38.\n3. Substitute c = j + 17 to k, which gives k = j + 55.\n4. Substitute j = l + 11 to k, which gives k = l + 66.\n5. Substitute l = q + 10 to k, which gives k = q + 76.\n6. Substitute q = 2 to k, which gives k = 78.\n\nThus, the final answer is k = \\boxed{78}.",
"index": 3224,
"question": "Suppose a collection of variables is related by the following definitions: d = n + 3; l = q + 10; n = q + 13; f = b + 12; b = d + 6; q = 2; e = r + 16; z = f + 14; c = j + 17; h = z + 19; k = e + 13; j = l + 11; r = c + 9. Given that q = 2, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"w": "s + 9", "m": "w + 6", "h": "m + 20", "v": "h + 15", "t": "v + 2", "e": "t + 20", "z": "s + 17", "a": "z + 13", "x": "a + 6", "u": "x + 19", "c": "u + 10", "q": "c + 17", "s": 8}, "premises": {"s": 8}, "target": "e"}, "answer": {"steps": [["t", "v + 2", "v + 22"], ["v", "h + 15", "h + 37"], ["h", "m + 20", "m + 57"], ["m", "w + 6", "w + 63"], ["w", "s + 9", "s + 72"], ["s", 8, "80"]], "target_var_name": "e", "target_value": 80, "value_dict": {"s": 8}, "is_reverse": true}}
| 3,225
| 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 + 9; s = 8; e = t + 20; u = x + 19; q = c + 17; h = m + 20; c = u + 10; m = w + 6; z = s + 17; v = h + 15; a = z + 13; x = a + 6; t = v + 2. If s = 8, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = v + 2 to e, which gives e = v + 22.\n2. Substitute v = h + 15 to e, which gives e = h + 37.\n3. Substitute h = m + 20 to e, which gives e = m + 57.\n4. Substitute m = w + 6 to e, which gives e = w + 63.\n5. Substitute w = s + 9 to e, which gives e = s + 72.\n6. Substitute s = 8 to e, which gives e = 80.\n\nThus, the final answer is e = \\boxed{80}.",
"index": 3225,
"question": "Consider a system of variables where each variable is defined as follows: w = s + 9; s = 8; e = t + 20; u = x + 19; q = c + 17; h = m + 20; c = u + 10; m = w + 6; z = s + 17; v = h + 15; a = z + 13; x = a + 6; t = v + 2. If s = 8, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"p": "q + 3", "f": "p + 8", "j": "f + 13", "t": "j + 11", "b": "t + 6", "m": "b + 8", "z": "q + 7", "u": "z + 18", "k": "u + 11", "h": "k + 5", "v": "h + 5", "w": "v + 7", "q": 12}, "premises": {"q": 12}, "target": "m"}, "answer": {"steps": [["b", "t + 6", "t + 14"], ["t", "j + 11", "j + 25"], ["j", "f + 13", "f + 38"], ["f", "p + 8", "p + 46"], ["p", "q + 3", "q + 49"], ["q", 12, "61"]], "target_var_name": "m", "target_value": 61, "value_dict": {"q": 12}, "is_reverse": true}}
| 3,226
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = v + 7; m = b + 8; v = h + 5; j = f + 13; p = q + 3; k = u + 11; b = t + 6; h = k + 5; q = 12; z = q + 7; u = z + 18; f = p + 8; t = j + 11. If q = 12, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = t + 6 to m, which gives m = t + 14.\n2. Substitute t = j + 11 to m, which gives m = j + 25.\n3. Substitute j = f + 13 to m, which gives m = f + 38.\n4. Substitute f = p + 8 to m, which gives m = p + 46.\n5. Substitute p = q + 3 to m, which gives m = q + 49.\n6. Substitute q = 12 to m, which gives m = 61.\n\nThus, the final answer is m = \\boxed{61}.",
"index": 3226,
"question": "Consider a system of variables where each variable is defined as follows: w = v + 7; m = b + 8; v = h + 5; j = f + 13; p = q + 3; k = u + 11; b = t + 6; h = k + 5; q = 12; z = q + 7; u = z + 18; f = p + 8; t = j + 11. If q = 12, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"q": "r + 11", "w": "q + 5", "u": "w + 12", "a": "u + 16", "h": "a + 11", "c": "h + 11", "i": "r + 19", "f": "i + 12", "v": "f + 10", "l": "v + 20", "b": "l + 16", "m": "b + 13", "r": 9}, "premises": {"r": 9}, "target": "c"}, "answer": {"steps": [["h", "a + 11", "a + 22"], ["a", "u + 16", "u + 38"], ["u", "w + 12", "w + 50"], ["w", "q + 5", "q + 55"], ["q", "r + 11", "r + 66"], ["r", 9, "75"]], "target_var_name": "c", "target_value": 75, "value_dict": {"r": 9}, "is_reverse": true}}
| 3,227
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = q + 5; i = r + 19; b = l + 16; c = h + 11; r = 9; u = w + 12; v = f + 10; q = r + 11; a = u + 16; f = i + 12; h = a + 11; l = v + 20; m = b + 13. If r = 9, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = a + 11 to c, which gives c = a + 22.\n2. Substitute a = u + 16 to c, which gives c = u + 38.\n3. Substitute u = w + 12 to c, which gives c = w + 50.\n4. Substitute w = q + 5 to c, which gives c = q + 55.\n5. Substitute q = r + 11 to c, which gives c = r + 66.\n6. Substitute r = 9 to c, which gives c = 75.\n\nThus, the final answer is c = \\boxed{75}.",
"index": 3227,
"question": "Consider a system of variables where each variable is defined as follows: w = q + 5; i = r + 19; b = l + 16; c = h + 11; r = 9; u = w + 12; v = f + 10; q = r + 11; a = u + 16; f = i + 12; h = a + 11; l = v + 20; m = b + 13. If r = 9, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"e": "d + 12", "h": "e + 1", "i": "h + 13", "j": "i + 2", "s": "j + 8", "b": "s + 18", "g": "d + 4", "f": "g + 15", "l": "f + 19", "p": "l + 11", "x": "p + 14", "o": "x + 20", "d": 7}, "premises": {"d": 7}, "target": "b"}, "answer": {"steps": [["s", "j + 8", "j + 26"], ["j", "i + 2", "i + 28"], ["i", "h + 13", "h + 41"], ["h", "e + 1", "e + 42"], ["e", "d + 12", "d + 54"], ["d", 7, "61"]], "target_var_name": "b", "target_value": 61, "value_dict": {"d": 7}, "is_reverse": true}}
| 3,228
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = 7; l = f + 19; e = d + 12; s = j + 8; o = x + 20; x = p + 14; b = s + 18; f = g + 15; g = d + 4; i = h + 13; p = l + 11; j = i + 2; h = e + 1. If d = 7, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = j + 8 to b, which gives b = j + 26.\n2. Substitute j = i + 2 to b, which gives b = i + 28.\n3. Substitute i = h + 13 to b, which gives b = h + 41.\n4. Substitute h = e + 1 to b, which gives b = e + 42.\n5. Substitute e = d + 12 to b, which gives b = d + 54.\n6. Substitute d = 7 to b, which gives b = 61.\n\nThus, the final answer is b = \\boxed{61}.",
"index": 3228,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = 7; l = f + 19; e = d + 12; s = j + 8; o = x + 20; x = p + 14; b = s + 18; f = g + 15; g = d + 4; i = h + 13; p = l + 11; j = i + 2; h = e + 1. If d = 7, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"m": "n + 19", "z": "m + 8", "h": "z + 1", "u": "h + 5", "s": "u + 15", "b": "s + 11", "i": "n + 6", "j": "i + 2", "c": "j + 4", "g": "c + 9", "o": "g + 14", "q": "o + 15", "n": 1}, "premises": {"n": 1}, "target": "b"}, "answer": {"steps": [["s", "u + 15", "u + 26"], ["u", "h + 5", "h + 31"], ["h", "z + 1", "z + 32"], ["z", "m + 8", "m + 40"], ["m", "n + 19", "n + 59"], ["n", 1, "60"]], "target_var_name": "b", "target_value": 60, "value_dict": {"n": 1}, "is_reverse": true}}
| 3,229
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = u + 15; z = m + 8; q = o + 15; m = n + 19; i = n + 6; u = h + 5; n = 1; g = c + 9; h = z + 1; o = g + 14; b = s + 11; c = j + 4; j = i + 2. Given that n = 1, 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 s = u + 15 to b, which gives b = u + 26.\n2. Substitute u = h + 5 to b, which gives b = h + 31.\n3. Substitute h = z + 1 to b, which gives b = z + 32.\n4. Substitute z = m + 8 to b, which gives b = m + 40.\n5. Substitute m = n + 19 to b, which gives b = n + 59.\n6. Substitute n = 1 to b, which gives b = 60.\n\nThus, the final answer is b = \\boxed{60}.",
"index": 3229,
"question": "Suppose a collection of variables is related by the following definitions: s = u + 15; z = m + 8; q = o + 15; m = n + 19; i = n + 6; u = h + 5; n = 1; g = c + 9; h = z + 1; o = g + 14; b = s + 11; c = j + 4; j = i + 2. Given that n = 1, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"j": "y + 17", "q": "j + 10", "h": "q + 14", "t": "h + 7", "g": "t + 11", "m": "g + 13", "n": "y + 1", "i": "n + 7", "u": "i + 16", "k": "u + 18", "a": "k + 15", "e": "a + 5", "y": 9}, "premises": {"y": 9}, "target": "m"}, "answer": {"steps": [["g", "t + 11", "t + 24"], ["t", "h + 7", "h + 31"], ["h", "q + 14", "q + 45"], ["q", "j + 10", "j + 55"], ["j", "y + 17", "y + 72"], ["y", 9, "81"]], "target_var_name": "m", "target_value": 81, "value_dict": {"y": 9}, "is_reverse": true}}
| 3,230
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = k + 15; q = j + 10; g = t + 11; t = h + 7; i = n + 7; n = y + 1; e = a + 5; m = g + 13; u = i + 16; y = 9; j = y + 17; h = q + 14; k = u + 18. Given that y = 9, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = t + 11 to m, which gives m = t + 24.\n2. Substitute t = h + 7 to m, which gives m = h + 31.\n3. Substitute h = q + 14 to m, which gives m = q + 45.\n4. Substitute q = j + 10 to m, which gives m = j + 55.\n5. Substitute j = y + 17 to m, which gives m = y + 72.\n6. Substitute y = 9 to m, which gives m = 81.\n\nThus, the final answer is m = \\boxed{81}.",
"index": 3230,
"question": "Suppose a collection of variables is related by the following definitions: a = k + 15; q = j + 10; g = t + 11; t = h + 7; i = n + 7; n = y + 1; e = a + 5; m = g + 13; u = i + 16; y = 9; j = y + 17; h = q + 14; k = u + 18. Given that y = 9, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"n": "p + 3", "k": "n + 7", "a": "k + 12", "u": "a + 1", "d": "u + 6", "f": "d + 15", "r": "p + 20", "b": "r + 1", "l": "b + 12", "t": "l + 16", "z": "t + 14", "y": "z + 2", "p": 19}, "premises": {"p": 19}, "target": "f"}, "answer": {"steps": [["d", "u + 6", "u + 21"], ["u", "a + 1", "a + 22"], ["a", "k + 12", "k + 34"], ["k", "n + 7", "n + 41"], ["n", "p + 3", "p + 44"], ["p", 19, "63"]], "target_var_name": "f", "target_value": 63, "value_dict": {"p": 19}, "is_reverse": true}}
| 3,231
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = d + 15; b = r + 1; t = l + 16; y = z + 2; a = k + 12; d = u + 6; l = b + 12; k = n + 7; r = p + 20; z = t + 14; n = p + 3; p = 19; u = a + 1. Given that p = 19, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = u + 6 to f, which gives f = u + 21.\n2. Substitute u = a + 1 to f, which gives f = a + 22.\n3. Substitute a = k + 12 to f, which gives f = k + 34.\n4. Substitute k = n + 7 to f, which gives f = n + 41.\n5. Substitute n = p + 3 to f, which gives f = p + 44.\n6. Substitute p = 19 to f, which gives f = 63.\n\nThus, the final answer is f = \\boxed{63}.",
"index": 3231,
"question": "Suppose a collection of variables is related by the following definitions: f = d + 15; b = r + 1; t = l + 16; y = z + 2; a = k + 12; d = u + 6; l = b + 12; k = n + 7; r = p + 20; z = t + 14; n = p + 3; p = 19; u = a + 1. Given that p = 19, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"u": "e + 4", "r": "u + 7", "h": "r + 20", "z": "h + 6", "s": "z + 3", "x": "s + 5", "i": "e + 4", "o": "i + 11", "v": "o + 4", "b": "v + 13", "g": "b + 12", "j": "g + 17", "e": 1}, "premises": {"e": 1}, "target": "x"}, "answer": {"steps": [["s", "z + 3", "z + 8"], ["z", "h + 6", "h + 14"], ["h", "r + 20", "r + 34"], ["r", "u + 7", "u + 41"], ["u", "e + 4", "e + 45"], ["e", 1, "46"]], "target_var_name": "x", "target_value": 46, "value_dict": {"e": 1}, "is_reverse": true}}
| 3,232
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = r + 20; v = o + 4; o = i + 11; r = u + 7; g = b + 12; u = e + 4; j = g + 17; e = 1; b = v + 13; s = z + 3; z = h + 6; x = s + 5; i = e + 4. Given that e = 1, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 46,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = z + 3 to x, which gives x = z + 8.\n2. Substitute z = h + 6 to x, which gives x = h + 14.\n3. Substitute h = r + 20 to x, which gives x = r + 34.\n4. Substitute r = u + 7 to x, which gives x = u + 41.\n5. Substitute u = e + 4 to x, which gives x = e + 45.\n6. Substitute e = 1 to x, which gives x = 46.\n\nThus, the final answer is x = \\boxed{46}.",
"index": 3232,
"question": "Suppose a collection of variables is related by the following definitions: h = r + 20; v = o + 4; o = i + 11; r = u + 7; g = b + 12; u = e + 4; j = g + 17; e = 1; b = v + 13; s = z + 3; z = h + 6; x = s + 5; i = e + 4. Given that e = 1, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"x": "v + 7", "m": "x + 7", "d": "m + 7", "l": "d + 5", "y": "l + 17", "w": "y + 6", "a": "v + 20", "s": "a + 2", "e": "s + 11", "b": "e + 3", "p": "b + 9", "f": "p + 16", "v": 4}, "premises": {"v": 4}, "target": "w"}, "answer": {"steps": [["y", "l + 17", "l + 23"], ["l", "d + 5", "d + 28"], ["d", "m + 7", "m + 35"], ["m", "x + 7", "x + 42"], ["x", "v + 7", "v + 49"], ["v", 4, "53"]], "target_var_name": "w", "target_value": 53, "value_dict": {"v": 4}, "is_reverse": true}}
| 3,233
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = s + 11; d = m + 7; a = v + 20; b = e + 3; v = 4; x = v + 7; p = b + 9; s = a + 2; m = x + 7; l = d + 5; f = p + 16; w = y + 6; y = l + 17. Given that v = 4, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = l + 17 to w, which gives w = l + 23.\n2. Substitute l = d + 5 to w, which gives w = d + 28.\n3. Substitute d = m + 7 to w, which gives w = m + 35.\n4. Substitute m = x + 7 to w, which gives w = x + 42.\n5. Substitute x = v + 7 to w, which gives w = v + 49.\n6. Substitute v = 4 to w, which gives w = 53.\n\nThus, the final answer is w = \\boxed{53}.",
"index": 3233,
"question": "Suppose a collection of variables is related by the following definitions: e = s + 11; d = m + 7; a = v + 20; b = e + 3; v = 4; x = v + 7; p = b + 9; s = a + 2; m = x + 7; l = d + 5; f = p + 16; w = y + 6; y = l + 17. Given that v = 4, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"x": "f + 2", "o": "x + 6", "l": "o + 19", "r": "l + 2", "k": "r + 6", "q": "k + 2", "c": "f + 12", "s": "c + 8", "d": "s + 2", "g": "d + 17", "v": "g + 3", "p": "v + 11", "f": 4}, "premises": {"f": 4}, "target": "q"}, "answer": {"steps": [["k", "r + 6", "r + 8"], ["r", "l + 2", "l + 10"], ["l", "o + 19", "o + 29"], ["o", "x + 6", "x + 35"], ["x", "f + 2", "f + 37"], ["f", 4, "41"]], "target_var_name": "q", "target_value": 41, "value_dict": {"f": 4}, "is_reverse": true}}
| 3,234
| 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 = c + 8; d = s + 2; q = k + 2; g = d + 17; v = g + 3; c = f + 12; x = f + 2; p = v + 11; o = x + 6; k = r + 6; f = 4; r = l + 2; l = o + 19. If f = 4, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 41,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = r + 6 to q, which gives q = r + 8.\n2. Substitute r = l + 2 to q, which gives q = l + 10.\n3. Substitute l = o + 19 to q, which gives q = o + 29.\n4. Substitute o = x + 6 to q, which gives q = x + 35.\n5. Substitute x = f + 2 to q, which gives q = f + 37.\n6. Substitute f = 4 to q, which gives q = 41.\n\nThus, the final answer is q = \\boxed{41}.",
"index": 3234,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = c + 8; d = s + 2; q = k + 2; g = d + 17; v = g + 3; c = f + 12; x = f + 2; p = v + 11; o = x + 6; k = r + 6; f = 4; r = l + 2; l = o + 19. If f = 4, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"n": "z + 4", "g": "n + 5", "d": "g + 15", "h": "d + 7", "j": "h + 4", "b": "j + 12", "x": "z + 4", "r": "x + 14", "t": "r + 13", "l": "t + 18", "p": "l + 19", "k": "p + 3", "z": 12}, "premises": {"z": 12}, "target": "b"}, "answer": {"steps": [["j", "h + 4", "h + 16"], ["h", "d + 7", "d + 23"], ["d", "g + 15", "g + 38"], ["g", "n + 5", "n + 43"], ["n", "z + 4", "z + 47"], ["z", 12, "59"]], "target_var_name": "b", "target_value": 59, "value_dict": {"z": 12}, "is_reverse": true}}
| 3,235
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = z + 4; d = g + 15; z = 12; g = n + 5; h = d + 7; p = l + 19; j = h + 4; l = t + 18; b = j + 12; t = r + 13; x = z + 4; r = x + 14; k = p + 3. If z = 12, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = h + 4 to b, which gives b = h + 16.\n2. Substitute h = d + 7 to b, which gives b = d + 23.\n3. Substitute d = g + 15 to b, which gives b = g + 38.\n4. Substitute g = n + 5 to b, which gives b = n + 43.\n5. Substitute n = z + 4 to b, which gives b = z + 47.\n6. Substitute z = 12 to b, which gives b = 59.\n\nThus, the final answer is b = \\boxed{59}.",
"index": 3235,
"question": "Consider a system of variables where each variable is defined as follows: n = z + 4; d = g + 15; z = 12; g = n + 5; h = d + 7; p = l + 19; j = h + 4; l = t + 18; b = j + 12; t = r + 13; x = z + 4; r = x + 14; k = p + 3. If z = 12, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"w": "g + 6", "o": "w + 10", "t": "o + 5", "j": "t + 19", "b": "j + 18", "m": "b + 7", "n": "g + 17", "c": "n + 8", "d": "c + 18", "f": "d + 7", "v": "f + 6", "z": "v + 1", "g": 9}, "premises": {"g": 9}, "target": "m"}, "answer": {"steps": [["b", "j + 18", "j + 25"], ["j", "t + 19", "t + 44"], ["t", "o + 5", "o + 49"], ["o", "w + 10", "w + 59"], ["w", "g + 6", "g + 65"], ["g", 9, "74"]], "target_var_name": "m", "target_value": 74, "value_dict": {"g": 9}, "is_reverse": true}}
| 3,236
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = w + 10; f = d + 7; t = o + 5; d = c + 18; v = f + 6; j = t + 19; g = 9; z = v + 1; n = g + 17; m = b + 7; b = j + 18; w = g + 6; c = n + 8. If g = 9, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = j + 18 to m, which gives m = j + 25.\n2. Substitute j = t + 19 to m, which gives m = t + 44.\n3. Substitute t = o + 5 to m, which gives m = o + 49.\n4. Substitute o = w + 10 to m, which gives m = w + 59.\n5. Substitute w = g + 6 to m, which gives m = g + 65.\n6. Substitute g = 9 to m, which gives m = 74.\n\nThus, the final answer is m = \\boxed{74}.",
"index": 3236,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = w + 10; f = d + 7; t = o + 5; d = c + 18; v = f + 6; j = t + 19; g = 9; z = v + 1; n = g + 17; m = b + 7; b = j + 18; w = g + 6; c = n + 8. If g = 9, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"k": "q + 7", "a": "k + 19", "t": "a + 15", "f": "t + 11", "m": "f + 20", "x": "m + 11", "s": "q + 3", "y": "s + 18", "n": "y + 13", "b": "n + 8", "i": "b + 13", "h": "i + 12", "q": 6}, "premises": {"q": 6}, "target": "x"}, "answer": {"steps": [["m", "f + 20", "f + 31"], ["f", "t + 11", "t + 42"], ["t", "a + 15", "a + 57"], ["a", "k + 19", "k + 76"], ["k", "q + 7", "q + 83"], ["q", 6, "89"]], "target_var_name": "x", "target_value": 89, "value_dict": {"q": 6}, "is_reverse": true}}
| 3,237
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = m + 11; i = b + 13; q = 6; s = q + 3; b = n + 8; h = i + 12; a = k + 19; m = f + 20; k = q + 7; n = y + 13; y = s + 18; f = t + 11; t = a + 15. If q = 6, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = f + 20 to x, which gives x = f + 31.\n2. Substitute f = t + 11 to x, which gives x = t + 42.\n3. Substitute t = a + 15 to x, which gives x = a + 57.\n4. Substitute a = k + 19 to x, which gives x = k + 76.\n5. Substitute k = q + 7 to x, which gives x = q + 83.\n6. Substitute q = 6 to x, which gives x = 89.\n\nThus, the final answer is x = \\boxed{89}.",
"index": 3237,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = m + 11; i = b + 13; q = 6; s = q + 3; b = n + 8; h = i + 12; a = k + 19; m = f + 20; k = q + 7; n = y + 13; y = s + 18; f = t + 11; t = a + 15. If q = 6, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"l": "j + 7", "a": "l + 11", "r": "a + 8", "f": "r + 16", "c": "f + 1", "g": "c + 5", "v": "j + 16", "s": "v + 1", "u": "s + 5", "k": "u + 14", "b": "k + 4", "e": "b + 4", "j": 9}, "premises": {"j": 9}, "target": "g"}, "answer": {"steps": [["c", "f + 1", "f + 6"], ["f", "r + 16", "r + 22"], ["r", "a + 8", "a + 30"], ["a", "l + 11", "l + 41"], ["l", "j + 7", "j + 48"], ["j", 9, "57"]], "target_var_name": "g", "target_value": 57, "value_dict": {"j": 9}, "is_reverse": true}}
| 3,238
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = u + 14; a = l + 11; l = j + 7; e = b + 4; g = c + 5; c = f + 1; v = j + 16; f = r + 16; s = v + 1; j = 9; b = k + 4; r = a + 8; u = s + 5. Given that j = 9, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = f + 1 to g, which gives g = f + 6.\n2. Substitute f = r + 16 to g, which gives g = r + 22.\n3. Substitute r = a + 8 to g, which gives g = a + 30.\n4. Substitute a = l + 11 to g, which gives g = l + 41.\n5. Substitute l = j + 7 to g, which gives g = j + 48.\n6. Substitute j = 9 to g, which gives g = 57.\n\nThus, the final answer is g = \\boxed{57}.",
"index": 3238,
"question": "Suppose a collection of variables is related by the following definitions: k = u + 14; a = l + 11; l = j + 7; e = b + 4; g = c + 5; c = f + 1; v = j + 16; f = r + 16; s = v + 1; j = 9; b = k + 4; r = a + 8; u = s + 5. Given that j = 9, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"k": "d + 8", "b": "k + 4", "w": "b + 4", "c": "w + 17", "u": "c + 1", "z": "u + 10", "h": "d + 14", "v": "h + 4", "a": "v + 11", "i": "a + 7", "m": "i + 15", "y": "m + 20", "d": 8}, "premises": {"d": 8}, "target": "z"}, "answer": {"steps": [["u", "c + 1", "c + 11"], ["c", "w + 17", "w + 28"], ["w", "b + 4", "b + 32"], ["b", "k + 4", "k + 36"], ["k", "d + 8", "d + 44"], ["d", 8, "52"]], "target_var_name": "z", "target_value": 52, "value_dict": {"d": 8}, "is_reverse": true}}
| 3,239
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = b + 4; z = u + 10; d = 8; a = v + 11; h = d + 14; i = a + 7; m = i + 15; u = c + 1; v = h + 4; b = k + 4; c = w + 17; y = m + 20; k = d + 8. If d = 8, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 52,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = c + 1 to z, which gives z = c + 11.\n2. Substitute c = w + 17 to z, which gives z = w + 28.\n3. Substitute w = b + 4 to z, which gives z = b + 32.\n4. Substitute b = k + 4 to z, which gives z = k + 36.\n5. Substitute k = d + 8 to z, which gives z = d + 44.\n6. Substitute d = 8 to z, which gives z = 52.\n\nThus, the final answer is z = \\boxed{52}.",
"index": 3239,
"question": "Consider a system of variables where each variable is defined as follows: w = b + 4; z = u + 10; d = 8; a = v + 11; h = d + 14; i = a + 7; m = i + 15; u = c + 1; v = h + 4; b = k + 4; c = w + 17; y = m + 20; k = d + 8. If d = 8, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"z": "s + 18", "h": "z + 3", "g": "h + 5", "b": "g + 12", "q": "b + 1", "x": "q + 11", "k": "s + 11", "v": "k + 19", "j": "v + 16", "d": "j + 4", "p": "d + 20", "l": "p + 10", "s": 15}, "premises": {"s": 15}, "target": "x"}, "answer": {"steps": [["q", "b + 1", "b + 12"], ["b", "g + 12", "g + 24"], ["g", "h + 5", "h + 29"], ["h", "z + 3", "z + 32"], ["z", "s + 18", "s + 50"], ["s", 15, "65"]], "target_var_name": "x", "target_value": 65, "value_dict": {"s": 15}, "is_reverse": true}}
| 3,240
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = s + 18; k = s + 11; h = z + 3; s = 15; d = j + 4; x = q + 11; b = g + 12; l = p + 10; q = b + 1; j = v + 16; v = k + 19; g = h + 5; p = d + 20. Given that s = 15, find the 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 q = b + 1 to x, which gives x = b + 12.\n2. Substitute b = g + 12 to x, which gives x = g + 24.\n3. Substitute g = h + 5 to x, which gives x = h + 29.\n4. Substitute h = z + 3 to x, which gives x = z + 32.\n5. Substitute z = s + 18 to x, which gives x = s + 50.\n6. Substitute s = 15 to x, which gives x = 65.\n\nThus, the final answer is x = \\boxed{65}.",
"index": 3240,
"question": "Suppose a collection of variables is related by the following definitions: z = s + 18; k = s + 11; h = z + 3; s = 15; d = j + 4; x = q + 11; b = g + 12; l = p + 10; q = b + 1; j = v + 16; v = k + 19; g = h + 5; p = d + 20. Given that s = 15, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"x": "s + 18", "z": "x + 6", "i": "z + 7", "v": "i + 8", "t": "v + 15", "y": "t + 19", "j": "s + 15", "p": "j + 17", "m": "p + 19", "e": "m + 14", "a": "e + 1", "r": "a + 9", "s": 14}, "premises": {"s": 14}, "target": "y"}, "answer": {"steps": [["t", "v + 15", "v + 34"], ["v", "i + 8", "i + 42"], ["i", "z + 7", "z + 49"], ["z", "x + 6", "x + 55"], ["x", "s + 18", "s + 73"], ["s", 14, "87"]], "target_var_name": "y", "target_value": 87, "value_dict": {"s": 14}, "is_reverse": true}}
| 3,241
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = p + 19; r = a + 9; v = i + 8; j = s + 15; y = t + 19; i = z + 7; x = s + 18; t = v + 15; a = e + 1; z = x + 6; s = 14; e = m + 14; p = j + 17. Given that s = 14, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = v + 15 to y, which gives y = v + 34.\n2. Substitute v = i + 8 to y, which gives y = i + 42.\n3. Substitute i = z + 7 to y, which gives y = z + 49.\n4. Substitute z = x + 6 to y, which gives y = x + 55.\n5. Substitute x = s + 18 to y, which gives y = s + 73.\n6. Substitute s = 14 to y, which gives y = 87.\n\nThus, the final answer is y = \\boxed{87}.",
"index": 3241,
"question": "Suppose a collection of variables is related by the following definitions: m = p + 19; r = a + 9; v = i + 8; j = s + 15; y = t + 19; i = z + 7; x = s + 18; t = v + 15; a = e + 1; z = x + 6; s = 14; e = m + 14; p = j + 17. Given that s = 14, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"c": "x + 3", "v": "c + 17", "k": "v + 17", "s": "k + 17", "y": "s + 4", "j": "y + 4", "d": "x + 9", "a": "d + 1", "u": "a + 19", "q": "u + 1", "p": "q + 16", "r": "p + 19", "x": 13}, "premises": {"x": 13}, "target": "j"}, "answer": {"steps": [["y", "s + 4", "s + 8"], ["s", "k + 17", "k + 25"], ["k", "v + 17", "v + 42"], ["v", "c + 17", "c + 59"], ["c", "x + 3", "x + 62"], ["x", 13, "75"]], "target_var_name": "j", "target_value": 75, "value_dict": {"x": 13}, "is_reverse": true}}
| 3,242
| 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 = a + 19; r = p + 19; q = u + 1; p = q + 16; c = x + 3; y = s + 4; s = k + 17; x = 13; v = c + 17; k = v + 17; d = x + 9; a = d + 1; j = y + 4. If x = 13, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = s + 4 to j, which gives j = s + 8.\n2. Substitute s = k + 17 to j, which gives j = k + 25.\n3. Substitute k = v + 17 to j, which gives j = v + 42.\n4. Substitute v = c + 17 to j, which gives j = c + 59.\n5. Substitute c = x + 3 to j, which gives j = x + 62.\n6. Substitute x = 13 to j, which gives j = 75.\n\nThus, the final answer is j = \\boxed{75}.",
"index": 3242,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = a + 19; r = p + 19; q = u + 1; p = q + 16; c = x + 3; y = s + 4; s = k + 17; x = 13; v = c + 17; k = v + 17; d = x + 9; a = d + 1; j = y + 4. If x = 13, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"t": "y + 16", "q": "t + 20", "s": "q + 7", "g": "s + 17", "k": "g + 8", "o": "k + 4", "r": "y + 6", "j": "r + 12", "v": "j + 11", "i": "v + 13", "w": "i + 2", "e": "w + 10", "y": 9}, "premises": {"y": 9}, "target": "o"}, "answer": {"steps": [["k", "g + 8", "g + 12"], ["g", "s + 17", "s + 29"], ["s", "q + 7", "q + 36"], ["q", "t + 20", "t + 56"], ["t", "y + 16", "y + 72"], ["y", 9, "81"]], "target_var_name": "o", "target_value": 81, "value_dict": {"y": 9}, "is_reverse": true}}
| 3,243
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = q + 7; y = 9; o = k + 4; k = g + 8; t = y + 16; q = t + 20; r = y + 6; g = s + 17; j = r + 12; v = j + 11; e = w + 10; i = v + 13; w = i + 2. If y = 9, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = g + 8 to o, which gives o = g + 12.\n2. Substitute g = s + 17 to o, which gives o = s + 29.\n3. Substitute s = q + 7 to o, which gives o = q + 36.\n4. Substitute q = t + 20 to o, which gives o = t + 56.\n5. Substitute t = y + 16 to o, which gives o = y + 72.\n6. Substitute y = 9 to o, which gives o = 81.\n\nThus, the final answer is o = \\boxed{81}.",
"index": 3243,
"question": "Consider a system of variables where each variable is defined as follows: s = q + 7; y = 9; o = k + 4; k = g + 8; t = y + 16; q = t + 20; r = y + 6; g = s + 17; j = r + 12; v = j + 11; e = w + 10; i = v + 13; w = i + 2. If y = 9, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"c": "z + 20", "h": "c + 16", "s": "h + 8", "x": "s + 11", "n": "x + 8", "r": "n + 16", "v": "z + 10", "q": "v + 9", "w": "q + 17", "o": "w + 15", "b": "o + 7", "m": "b + 9", "z": 9}, "premises": {"z": 9}, "target": "r"}, "answer": {"steps": [["n", "x + 8", "x + 24"], ["x", "s + 11", "s + 35"], ["s", "h + 8", "h + 43"], ["h", "c + 16", "c + 59"], ["c", "z + 20", "z + 79"], ["z", 9, "88"]], "target_var_name": "r", "target_value": 88, "value_dict": {"z": 9}, "is_reverse": true}}
| 3,244
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = s + 11; b = o + 7; m = b + 9; h = c + 16; v = z + 10; o = w + 15; r = n + 16; s = h + 8; c = z + 20; z = 9; w = q + 17; n = x + 8; q = v + 9. If z = 9, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = x + 8 to r, which gives r = x + 24.\n2. Substitute x = s + 11 to r, which gives r = s + 35.\n3. Substitute s = h + 8 to r, which gives r = h + 43.\n4. Substitute h = c + 16 to r, which gives r = c + 59.\n5. Substitute c = z + 20 to r, which gives r = z + 79.\n6. Substitute z = 9 to r, which gives r = 88.\n\nThus, the final answer is r = \\boxed{88}.",
"index": 3244,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = s + 11; b = o + 7; m = b + 9; h = c + 16; v = z + 10; o = w + 15; r = n + 16; s = h + 8; c = z + 20; z = 9; w = q + 17; n = x + 8; q = v + 9. If z = 9, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"s": "o + 7", "y": "s + 8", "e": "y + 18", "g": "e + 8", "v": "g + 4", "t": "v + 15", "x": "o + 7", "b": "x + 18", "a": "b + 8", "c": "a + 1", "q": "c + 19", "l": "q + 6", "o": 5}, "premises": {"o": 5}, "target": "t"}, "answer": {"steps": [["v", "g + 4", "g + 19"], ["g", "e + 8", "e + 27"], ["e", "y + 18", "y + 45"], ["y", "s + 8", "s + 53"], ["s", "o + 7", "o + 60"], ["o", 5, "65"]], "target_var_name": "t", "target_value": 65, "value_dict": {"o": 5}, "is_reverse": true}}
| 3,245
| 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 = o + 7; g = e + 8; l = q + 6; t = v + 15; e = y + 18; y = s + 8; c = a + 1; a = b + 8; v = g + 4; o = 5; b = x + 18; q = c + 19; x = o + 7. If o = 5, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = g + 4 to t, which gives t = g + 19.\n2. Substitute g = e + 8 to t, which gives t = e + 27.\n3. Substitute e = y + 18 to t, which gives t = y + 45.\n4. Substitute y = s + 8 to t, which gives t = s + 53.\n5. Substitute s = o + 7 to t, which gives t = o + 60.\n6. Substitute o = 5 to t, which gives t = 65.\n\nThus, the final answer is t = \\boxed{65}.",
"index": 3245,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = o + 7; g = e + 8; l = q + 6; t = v + 15; e = y + 18; y = s + 8; c = a + 1; a = b + 8; v = g + 4; o = 5; b = x + 18; q = c + 19; x = o + 7. If o = 5, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"l": "x + 19", "u": "l + 18", "d": "u + 13", "m": "d + 9", "o": "m + 7", "z": "o + 5", "c": "x + 1", "g": "c + 10", "r": "g + 1", "n": "r + 9", "j": "n + 20", "v": "j + 3", "x": 5}, "premises": {"x": 5}, "target": "z"}, "answer": {"steps": [["o", "m + 7", "m + 12"], ["m", "d + 9", "d + 21"], ["d", "u + 13", "u + 34"], ["u", "l + 18", "l + 52"], ["l", "x + 19", "x + 71"], ["x", 5, "76"]], "target_var_name": "z", "target_value": 76, "value_dict": {"x": 5}, "is_reverse": true}}
| 3,246
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = r + 9; x = 5; g = c + 10; u = l + 18; l = x + 19; m = d + 9; c = x + 1; z = o + 5; r = g + 1; o = m + 7; d = u + 13; j = n + 20; v = j + 3. Given that x = 5, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = m + 7 to z, which gives z = m + 12.\n2. Substitute m = d + 9 to z, which gives z = d + 21.\n3. Substitute d = u + 13 to z, which gives z = u + 34.\n4. Substitute u = l + 18 to z, which gives z = l + 52.\n5. Substitute l = x + 19 to z, which gives z = x + 71.\n6. Substitute x = 5 to z, which gives z = 76.\n\nThus, the final answer is z = \\boxed{76}.",
"index": 3246,
"question": "Suppose a collection of variables is related by the following definitions: n = r + 9; x = 5; g = c + 10; u = l + 18; l = x + 19; m = d + 9; c = x + 1; z = o + 5; r = g + 1; o = m + 7; d = u + 13; j = n + 20; v = j + 3. Given that x = 5, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"p": "k + 9", "a": "p + 12", "e": "a + 5", "w": "e + 11", "m": "w + 6", "c": "m + 12", "i": "k + 9", "s": "i + 6", "t": "s + 14", "v": "t + 16", "d": "v + 20", "j": "d + 17", "k": 18}, "premises": {"k": 18}, "target": "c"}, "answer": {"steps": [["m", "w + 6", "w + 18"], ["w", "e + 11", "e + 29"], ["e", "a + 5", "a + 34"], ["a", "p + 12", "p + 46"], ["p", "k + 9", "k + 55"], ["k", 18, "73"]], "target_var_name": "c", "target_value": 73, "value_dict": {"k": 18}, "is_reverse": true}}
| 3,247
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = k + 9; j = d + 17; e = a + 5; c = m + 12; v = t + 16; m = w + 6; p = k + 9; s = i + 6; w = e + 11; a = p + 12; d = v + 20; k = 18; t = s + 14. If k = 18, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = w + 6 to c, which gives c = w + 18.\n2. Substitute w = e + 11 to c, which gives c = e + 29.\n3. Substitute e = a + 5 to c, which gives c = a + 34.\n4. Substitute a = p + 12 to c, which gives c = p + 46.\n5. Substitute p = k + 9 to c, which gives c = k + 55.\n6. Substitute k = 18 to c, which gives c = 73.\n\nThus, the final answer is c = \\boxed{73}.",
"index": 3247,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = k + 9; j = d + 17; e = a + 5; c = m + 12; v = t + 16; m = w + 6; p = k + 9; s = i + 6; w = e + 11; a = p + 12; d = v + 20; k = 18; t = s + 14. If k = 18, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"h": "o + 14", "d": "h + 12", "e": "d + 18", "n": "e + 5", "y": "n + 4", "v": "y + 3", "a": "o + 2", "r": "a + 15", "f": "r + 18", "c": "f + 14", "u": "c + 1", "p": "u + 16", "o": 2}, "premises": {"o": 2}, "target": "v"}, "answer": {"steps": [["y", "n + 4", "n + 7"], ["n", "e + 5", "e + 12"], ["e", "d + 18", "d + 30"], ["d", "h + 12", "h + 42"], ["h", "o + 14", "o + 56"], ["o", 2, "58"]], "target_var_name": "v", "target_value": 58, "value_dict": {"o": 2}, "is_reverse": true}}
| 3,248
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = e + 5; p = u + 16; a = o + 2; f = r + 18; d = h + 12; e = d + 18; h = o + 14; c = f + 14; v = y + 3; o = 2; r = a + 15; y = n + 4; u = c + 1. Given that o = 2, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = n + 4 to v, which gives v = n + 7.\n2. Substitute n = e + 5 to v, which gives v = e + 12.\n3. Substitute e = d + 18 to v, which gives v = d + 30.\n4. Substitute d = h + 12 to v, which gives v = h + 42.\n5. Substitute h = o + 14 to v, which gives v = o + 56.\n6. Substitute o = 2 to v, which gives v = 58.\n\nThus, the final answer is v = \\boxed{58}.",
"index": 3248,
"question": "Suppose a collection of variables is related by the following definitions: n = e + 5; p = u + 16; a = o + 2; f = r + 18; d = h + 12; e = d + 18; h = o + 14; c = f + 14; v = y + 3; o = 2; r = a + 15; y = n + 4; u = c + 1. Given that o = 2, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"g": "y + 15", "f": "g + 9", "t": "f + 19", "r": "t + 13", "w": "r + 13", "o": "w + 11", "e": "y + 14", "b": "e + 15", "c": "b + 13", "m": "c + 2", "j": "m + 20", "a": "j + 17", "y": 6}, "premises": {"y": 6}, "target": "o"}, "answer": {"steps": [["w", "r + 13", "r + 24"], ["r", "t + 13", "t + 37"], ["t", "f + 19", "f + 56"], ["f", "g + 9", "g + 65"], ["g", "y + 15", "y + 80"], ["y", 6, "86"]], "target_var_name": "o", "target_value": 86, "value_dict": {"y": 6}, "is_reverse": true}}
| 3,249
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = 6; o = w + 11; f = g + 9; m = c + 2; c = b + 13; t = f + 19; b = e + 15; e = y + 14; r = t + 13; g = y + 15; w = r + 13; j = m + 20; a = j + 17. If y = 6, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = r + 13 to o, which gives o = r + 24.\n2. Substitute r = t + 13 to o, which gives o = t + 37.\n3. Substitute t = f + 19 to o, which gives o = f + 56.\n4. Substitute f = g + 9 to o, which gives o = g + 65.\n5. Substitute g = y + 15 to o, which gives o = y + 80.\n6. Substitute y = 6 to o, which gives o = 86.\n\nThus, the final answer is o = \\boxed{86}.",
"index": 3249,
"question": "Consider a system of variables where each variable is defined as follows: y = 6; o = w + 11; f = g + 9; m = c + 2; c = b + 13; t = f + 19; b = e + 15; e = y + 14; r = t + 13; g = y + 15; w = r + 13; j = m + 20; a = j + 17. If y = 6, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"v": "m + 3", "b": "v + 9", "a": "b + 8", "s": "a + 17", "h": "s + 20", "j": "h + 5", "z": "m + 2", "e": "z + 6", "n": "e + 19", "d": "n + 6", "y": "d + 13", "r": "y + 2", "m": 5}, "premises": {"m": 5}, "target": "j"}, "answer": {"steps": [["h", "s + 20", "s + 25"], ["s", "a + 17", "a + 42"], ["a", "b + 8", "b + 50"], ["b", "v + 9", "v + 59"], ["v", "m + 3", "m + 62"], ["m", 5, "67"]], "target_var_name": "j", "target_value": 67, "value_dict": {"m": 5}, "is_reverse": true}}
| 3,250
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = s + 20; e = z + 6; y = d + 13; a = b + 8; z = m + 2; r = y + 2; j = h + 5; s = a + 17; d = n + 6; b = v + 9; n = e + 19; m = 5; v = m + 3. Given that m = 5, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = s + 20 to j, which gives j = s + 25.\n2. Substitute s = a + 17 to j, which gives j = a + 42.\n3. Substitute a = b + 8 to j, which gives j = b + 50.\n4. Substitute b = v + 9 to j, which gives j = v + 59.\n5. Substitute v = m + 3 to j, which gives j = m + 62.\n6. Substitute m = 5 to j, which gives j = 67.\n\nThus, the final answer is j = \\boxed{67}.",
"index": 3250,
"question": "Suppose a collection of variables is related by the following definitions: h = s + 20; e = z + 6; y = d + 13; a = b + 8; z = m + 2; r = y + 2; j = h + 5; s = a + 17; d = n + 6; b = v + 9; n = e + 19; m = 5; v = m + 3. Given that m = 5, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"c": "r + 10", "u": "c + 15", "v": "u + 2", "d": "v + 16", "a": "d + 17", "h": "a + 19", "k": "r + 6", "p": "k + 9", "b": "p + 4", "g": "b + 18", "y": "g + 11", "t": "y + 1", "r": 20}, "premises": {"r": 20}, "target": "h"}, "answer": {"steps": [["a", "d + 17", "d + 36"], ["d", "v + 16", "v + 52"], ["v", "u + 2", "u + 54"], ["u", "c + 15", "c + 69"], ["c", "r + 10", "r + 79"], ["r", 20, "99"]], "target_var_name": "h", "target_value": 99, "value_dict": {"r": 20}, "is_reverse": true}}
| 3,251
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = r + 6; v = u + 2; a = d + 17; d = v + 16; p = k + 9; c = r + 10; t = y + 1; h = a + 19; y = g + 11; r = 20; u = c + 15; b = p + 4; g = b + 18. If r = 20, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 99,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = d + 17 to h, which gives h = d + 36.\n2. Substitute d = v + 16 to h, which gives h = v + 52.\n3. Substitute v = u + 2 to h, which gives h = u + 54.\n4. Substitute u = c + 15 to h, which gives h = c + 69.\n5. Substitute c = r + 10 to h, which gives h = r + 79.\n6. Substitute r = 20 to h, which gives h = 99.\n\nThus, the final answer is h = \\boxed{99}.",
"index": 3251,
"question": "Consider a system of variables where each variable is defined as follows: k = r + 6; v = u + 2; a = d + 17; d = v + 16; p = k + 9; c = r + 10; t = y + 1; h = a + 19; y = g + 11; r = 20; u = c + 15; b = p + 4; g = b + 18. If r = 20, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"c": "x + 4", "t": "c + 16", "u": "t + 17", "v": "u + 19", "d": "v + 2", "y": "d + 10", "a": "x + 7", "l": "a + 20", "h": "l + 6", "m": "h + 2", "j": "m + 14", "g": "j + 17", "x": 13}, "premises": {"x": 13}, "target": "y"}, "answer": {"steps": [["d", "v + 2", "v + 12"], ["v", "u + 19", "u + 31"], ["u", "t + 17", "t + 48"], ["t", "c + 16", "c + 64"], ["c", "x + 4", "x + 68"], ["x", 13, "81"]], "target_var_name": "y", "target_value": 81, "value_dict": {"x": 13}, "is_reverse": true}}
| 3,252
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = h + 2; y = d + 10; a = x + 7; x = 13; u = t + 17; l = a + 20; d = v + 2; j = m + 14; t = c + 16; c = x + 4; h = l + 6; g = j + 17; v = u + 19. Given that x = 13, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = v + 2 to y, which gives y = v + 12.\n2. Substitute v = u + 19 to y, which gives y = u + 31.\n3. Substitute u = t + 17 to y, which gives y = t + 48.\n4. Substitute t = c + 16 to y, which gives y = c + 64.\n5. Substitute c = x + 4 to y, which gives y = x + 68.\n6. Substitute x = 13 to y, which gives y = 81.\n\nThus, the final answer is y = \\boxed{81}.",
"index": 3252,
"question": "Suppose a collection of variables is related by the following definitions: m = h + 2; y = d + 10; a = x + 7; x = 13; u = t + 17; l = a + 20; d = v + 2; j = m + 14; t = c + 16; c = x + 4; h = l + 6; g = j + 17; v = u + 19. Given that x = 13, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"y": "d + 20", "n": "y + 16", "r": "n + 13", "v": "r + 13", "l": "v + 8", "c": "l + 5", "a": "d + 6", "u": "a + 18", "s": "u + 13", "p": "s + 14", "w": "p + 12", "e": "w + 1", "d": 7}, "premises": {"d": 7}, "target": "c"}, "answer": {"steps": [["l", "v + 8", "v + 13"], ["v", "r + 13", "r + 26"], ["r", "n + 13", "n + 39"], ["n", "y + 16", "y + 55"], ["y", "d + 20", "d + 75"], ["d", 7, "82"]], "target_var_name": "c", "target_value": 82, "value_dict": {"d": 7}, "is_reverse": true}}
| 3,253
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = r + 13; r = n + 13; a = d + 6; l = v + 8; y = d + 20; n = y + 16; w = p + 12; s = u + 13; e = w + 1; d = 7; u = a + 18; p = s + 14; c = l + 5. Given that d = 7, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = v + 8 to c, which gives c = v + 13.\n2. Substitute v = r + 13 to c, which gives c = r + 26.\n3. Substitute r = n + 13 to c, which gives c = n + 39.\n4. Substitute n = y + 16 to c, which gives c = y + 55.\n5. Substitute y = d + 20 to c, which gives c = d + 75.\n6. Substitute d = 7 to c, which gives c = 82.\n\nThus, the final answer is c = \\boxed{82}.",
"index": 3253,
"question": "Suppose a collection of variables is related by the following definitions: v = r + 13; r = n + 13; a = d + 6; l = v + 8; y = d + 20; n = y + 16; w = p + 12; s = u + 13; e = w + 1; d = 7; u = a + 18; p = s + 14; c = l + 5. Given that d = 7, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"h": "i + 4", "f": "h + 7", "q": "f + 14", "s": "q + 6", "n": "s + 11", "g": "n + 10", "y": "i + 18", "w": "y + 13", "l": "w + 20", "o": "l + 6", "e": "o + 16", "d": "e + 10", "i": 11}, "premises": {"i": 11}, "target": "g"}, "answer": {"steps": [["n", "s + 11", "s + 21"], ["s", "q + 6", "q + 27"], ["q", "f + 14", "f + 41"], ["f", "h + 7", "h + 48"], ["h", "i + 4", "i + 52"], ["i", 11, "63"]], "target_var_name": "g", "target_value": 63, "value_dict": {"i": 11}, "is_reverse": true}}
| 3,254
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = n + 10; l = w + 20; e = o + 16; h = i + 4; s = q + 6; y = i + 18; n = s + 11; f = h + 7; i = 11; o = l + 6; d = e + 10; w = y + 13; q = f + 14. If i = 11, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = s + 11 to g, which gives g = s + 21.\n2. Substitute s = q + 6 to g, which gives g = q + 27.\n3. Substitute q = f + 14 to g, which gives g = f + 41.\n4. Substitute f = h + 7 to g, which gives g = h + 48.\n5. Substitute h = i + 4 to g, which gives g = i + 52.\n6. Substitute i = 11 to g, which gives g = 63.\n\nThus, the final answer is g = \\boxed{63}.",
"index": 3254,
"question": "Consider a system of variables where each variable is defined as follows: g = n + 10; l = w + 20; e = o + 16; h = i + 4; s = q + 6; y = i + 18; n = s + 11; f = h + 7; i = 11; o = l + 6; d = e + 10; w = y + 13; q = f + 14. If i = 11, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"g": "p + 11", "v": "g + 13", "r": "v + 12", "i": "r + 10", "a": "i + 9", "m": "a + 10", "l": "p + 18", "e": "l + 8", "h": "e + 13", "z": "h + 7", "f": "z + 7", "w": "f + 6", "p": 9}, "premises": {"p": 9}, "target": "m"}, "answer": {"steps": [["a", "i + 9", "i + 19"], ["i", "r + 10", "r + 29"], ["r", "v + 12", "v + 41"], ["v", "g + 13", "g + 54"], ["g", "p + 11", "p + 65"], ["p", 9, "74"]], "target_var_name": "m", "target_value": 74, "value_dict": {"p": 9}, "is_reverse": true}}
| 3,255
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = p + 18; f = z + 7; v = g + 13; i = r + 10; p = 9; a = i + 9; r = v + 12; w = f + 6; h = e + 13; e = l + 8; m = a + 10; g = p + 11; z = h + 7. Given that p = 9, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = i + 9 to m, which gives m = i + 19.\n2. Substitute i = r + 10 to m, which gives m = r + 29.\n3. Substitute r = v + 12 to m, which gives m = v + 41.\n4. Substitute v = g + 13 to m, which gives m = g + 54.\n5. Substitute g = p + 11 to m, which gives m = p + 65.\n6. Substitute p = 9 to m, which gives m = 74.\n\nThus, the final answer is m = \\boxed{74}.",
"index": 3255,
"question": "Suppose a collection of variables is related by the following definitions: l = p + 18; f = z + 7; v = g + 13; i = r + 10; p = 9; a = i + 9; r = v + 12; w = f + 6; h = e + 13; e = l + 8; m = a + 10; g = p + 11; z = h + 7. Given that p = 9, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"t": "d + 19", "q": "t + 1", "e": "q + 16", "j": "e + 20", "a": "j + 8", "k": "a + 8", "r": "d + 4", "c": "r + 6", "i": "c + 2", "h": "i + 7", "y": "h + 7", "g": "y + 3", "d": 14}, "premises": {"d": 14}, "target": "k"}, "answer": {"steps": [["a", "j + 8", "j + 16"], ["j", "e + 20", "e + 36"], ["e", "q + 16", "q + 52"], ["q", "t + 1", "t + 53"], ["t", "d + 19", "d + 72"], ["d", 14, "86"]], "target_var_name": "k", "target_value": 86, "value_dict": {"d": 14}, "is_reverse": true}}
| 3,256
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = r + 6; a = j + 8; g = y + 3; e = q + 16; q = t + 1; h = i + 7; d = 14; r = d + 4; k = a + 8; j = e + 20; i = c + 2; t = d + 19; y = h + 7. If d = 14, 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 a = j + 8 to k, which gives k = j + 16.\n2. Substitute j = e + 20 to k, which gives k = e + 36.\n3. Substitute e = q + 16 to k, which gives k = q + 52.\n4. Substitute q = t + 1 to k, which gives k = t + 53.\n5. Substitute t = d + 19 to k, which gives k = d + 72.\n6. Substitute d = 14 to k, which gives k = 86.\n\nThus, the final answer is k = \\boxed{86}.",
"index": 3256,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = r + 6; a = j + 8; g = y + 3; e = q + 16; q = t + 1; h = i + 7; d = 14; r = d + 4; k = a + 8; j = e + 20; i = c + 2; t = d + 19; y = h + 7. If d = 14, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"o": "a + 16", "b": "o + 3", "j": "b + 12", "f": "j + 12", "x": "f + 10", "z": "x + 9", "c": "a + 10", "d": "c + 6", "w": "d + 7", "k": "w + 16", "m": "k + 6", "h": "m + 15", "a": 17}, "premises": {"a": 17}, "target": "z"}, "answer": {"steps": [["x", "f + 10", "f + 19"], ["f", "j + 12", "j + 31"], ["j", "b + 12", "b + 43"], ["b", "o + 3", "o + 46"], ["o", "a + 16", "a + 62"], ["a", 17, "79"]], "target_var_name": "z", "target_value": 79, "value_dict": {"a": 17}, "is_reverse": true}}
| 3,257
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = d + 7; d = c + 6; k = w + 16; c = a + 10; x = f + 10; b = o + 3; o = a + 16; f = j + 12; m = k + 6; a = 17; z = x + 9; h = m + 15; j = b + 12. Given that a = 17, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = f + 10 to z, which gives z = f + 19.\n2. Substitute f = j + 12 to z, which gives z = j + 31.\n3. Substitute j = b + 12 to z, which gives z = b + 43.\n4. Substitute b = o + 3 to z, which gives z = o + 46.\n5. Substitute o = a + 16 to z, which gives z = a + 62.\n6. Substitute a = 17 to z, which gives z = 79.\n\nThus, the final answer is z = \\boxed{79}.",
"index": 3257,
"question": "Suppose a collection of variables is related by the following definitions: w = d + 7; d = c + 6; k = w + 16; c = a + 10; x = f + 10; b = o + 3; o = a + 16; f = j + 12; m = k + 6; a = 17; z = x + 9; h = m + 15; j = b + 12. Given that a = 17, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"o": "n + 2", "q": "o + 11", "u": "q + 11", "s": "u + 7", "e": "s + 9", "d": "e + 1", "w": "n + 18", "l": "w + 17", "c": "l + 18", "z": "c + 16", "g": "z + 16", "t": "g + 4", "n": 5}, "premises": {"n": 5}, "target": "d"}, "answer": {"steps": [["e", "s + 9", "s + 10"], ["s", "u + 7", "u + 17"], ["u", "q + 11", "q + 28"], ["q", "o + 11", "o + 39"], ["o", "n + 2", "n + 41"], ["n", 5, "46"]], "target_var_name": "d", "target_value": 46, "value_dict": {"n": 5}, "is_reverse": true}}
| 3,258
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = n + 18; t = g + 4; d = e + 1; l = w + 17; o = n + 2; c = l + 18; s = u + 7; q = o + 11; g = z + 16; n = 5; z = c + 16; e = s + 9; u = q + 11. Given that n = 5, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 46,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = s + 9 to d, which gives d = s + 10.\n2. Substitute s = u + 7 to d, which gives d = u + 17.\n3. Substitute u = q + 11 to d, which gives d = q + 28.\n4. Substitute q = o + 11 to d, which gives d = o + 39.\n5. Substitute o = n + 2 to d, which gives d = n + 41.\n6. Substitute n = 5 to d, which gives d = 46.\n\nThus, the final answer is d = \\boxed{46}.",
"index": 3258,
"question": "Suppose a collection of variables is related by the following definitions: w = n + 18; t = g + 4; d = e + 1; l = w + 17; o = n + 2; c = l + 18; s = u + 7; q = o + 11; g = z + 16; n = 5; z = c + 16; e = s + 9; u = q + 11. Given that n = 5, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"k": "d + 9", "w": "k + 8", "f": "w + 18", "z": "f + 12", "s": "z + 18", "y": "s + 19", "t": "d + 15", "o": "t + 3", "q": "o + 10", "v": "q + 2", "j": "v + 9", "b": "j + 7", "d": 5}, "premises": {"d": 5}, "target": "y"}, "answer": {"steps": [["s", "z + 18", "z + 37"], ["z", "f + 12", "f + 49"], ["f", "w + 18", "w + 67"], ["w", "k + 8", "k + 75"], ["k", "d + 9", "d + 84"], ["d", 5, "89"]], "target_var_name": "y", "target_value": 89, "value_dict": {"d": 5}, "is_reverse": true}}
| 3,259
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = d + 9; f = w + 18; b = j + 7; q = o + 10; s = z + 18; j = v + 9; o = t + 3; d = 5; w = k + 8; t = d + 15; v = q + 2; y = s + 19; z = f + 12. If d = 5, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = z + 18 to y, which gives y = z + 37.\n2. Substitute z = f + 12 to y, which gives y = f + 49.\n3. Substitute f = w + 18 to y, which gives y = w + 67.\n4. Substitute w = k + 8 to y, which gives y = k + 75.\n5. Substitute k = d + 9 to y, which gives y = d + 84.\n6. Substitute d = 5 to y, which gives y = 89.\n\nThus, the final answer is y = \\boxed{89}.",
"index": 3259,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = d + 9; f = w + 18; b = j + 7; q = o + 10; s = z + 18; j = v + 9; o = t + 3; d = 5; w = k + 8; t = d + 15; v = q + 2; y = s + 19; z = f + 12. If d = 5, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"b": "l + 19", "k": "b + 1", "m": "k + 1", "a": "m + 15", "u": "a + 1", "r": "u + 17", "o": "l + 9", "y": "o + 19", "d": "y + 13", "z": "d + 6", "x": "z + 1", "h": "x + 13", "l": 3}, "premises": {"l": 3}, "target": "r"}, "answer": {"steps": [["u", "a + 1", "a + 18"], ["a", "m + 15", "m + 33"], ["m", "k + 1", "k + 34"], ["k", "b + 1", "b + 35"], ["b", "l + 19", "l + 54"], ["l", 3, "57"]], "target_var_name": "r", "target_value": 57, "value_dict": {"l": 3}, "is_reverse": true}}
| 3,260
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = z + 1; z = d + 6; a = m + 15; l = 3; o = l + 9; k = b + 1; m = k + 1; d = y + 13; b = l + 19; h = x + 13; y = o + 19; r = u + 17; u = a + 1. If l = 3, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = a + 1 to r, which gives r = a + 18.\n2. Substitute a = m + 15 to r, which gives r = m + 33.\n3. Substitute m = k + 1 to r, which gives r = k + 34.\n4. Substitute k = b + 1 to r, which gives r = b + 35.\n5. Substitute b = l + 19 to r, which gives r = l + 54.\n6. Substitute l = 3 to r, which gives r = 57.\n\nThus, the final answer is r = \\boxed{57}.",
"index": 3260,
"question": "Consider a system of variables where each variable is defined as follows: x = z + 1; z = d + 6; a = m + 15; l = 3; o = l + 9; k = b + 1; m = k + 1; d = y + 13; b = l + 19; h = x + 13; y = o + 19; r = u + 17; u = a + 1. If l = 3, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"s": "z + 10", "x": "s + 17", "j": "x + 17", "r": "j + 2", "l": "r + 10", "m": "l + 1", "f": "z + 6", "i": "f + 7", "k": "i + 6", "p": "k + 11", "y": "p + 7", "a": "y + 19", "z": 17}, "premises": {"z": 17}, "target": "m"}, "answer": {"steps": [["l", "r + 10", "r + 11"], ["r", "j + 2", "j + 13"], ["j", "x + 17", "x + 30"], ["x", "s + 17", "s + 47"], ["s", "z + 10", "z + 57"], ["z", 17, "74"]], "target_var_name": "m", "target_value": 74, "value_dict": {"z": 17}, "is_reverse": true}}
| 3,261
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = f + 7; z = 17; m = l + 1; s = z + 10; y = p + 7; j = x + 17; l = r + 10; k = i + 6; x = s + 17; p = k + 11; r = j + 2; f = z + 6; a = y + 19. If z = 17, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = r + 10 to m, which gives m = r + 11.\n2. Substitute r = j + 2 to m, which gives m = j + 13.\n3. Substitute j = x + 17 to m, which gives m = x + 30.\n4. Substitute x = s + 17 to m, which gives m = s + 47.\n5. Substitute s = z + 10 to m, which gives m = z + 57.\n6. Substitute z = 17 to m, which gives m = 74.\n\nThus, the final answer is m = \\boxed{74}.",
"index": 3261,
"question": "Consider a system of variables where each variable is defined as follows: i = f + 7; z = 17; m = l + 1; s = z + 10; y = p + 7; j = x + 17; l = r + 10; k = i + 6; x = s + 17; p = k + 11; r = j + 2; f = z + 6; a = y + 19. If z = 17, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"j": "x + 9", "h": "j + 14", "v": "h + 15", "n": "v + 11", "o": "n + 14", "e": "o + 19", "i": "x + 6", "t": "i + 16", "l": "t + 14", "r": "l + 20", "a": "r + 7", "u": "a + 1", "x": 7}, "premises": {"x": 7}, "target": "e"}, "answer": {"steps": [["o", "n + 14", "n + 33"], ["n", "v + 11", "v + 44"], ["v", "h + 15", "h + 59"], ["h", "j + 14", "j + 73"], ["j", "x + 9", "x + 82"], ["x", 7, "89"]], "target_var_name": "e", "target_value": 89, "value_dict": {"x": 7}, "is_reverse": true}}
| 3,262
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = i + 16; o = n + 14; u = a + 1; j = x + 9; e = o + 19; v = h + 15; a = r + 7; r = l + 20; h = j + 14; l = t + 14; i = x + 6; n = v + 11; x = 7. If x = 7, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = n + 14 to e, which gives e = n + 33.\n2. Substitute n = v + 11 to e, which gives e = v + 44.\n3. Substitute v = h + 15 to e, which gives e = h + 59.\n4. Substitute h = j + 14 to e, which gives e = j + 73.\n5. Substitute j = x + 9 to e, which gives e = x + 82.\n6. Substitute x = 7 to e, which gives e = 89.\n\nThus, the final answer is e = \\boxed{89}.",
"index": 3262,
"question": "Consider a system of variables where each variable is defined as follows: t = i + 16; o = n + 14; u = a + 1; j = x + 9; e = o + 19; v = h + 15; a = r + 7; r = l + 20; h = j + 14; l = t + 14; i = x + 6; n = v + 11; x = 7. If x = 7, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"s": "b + 12", "a": "s + 8", "z": "a + 5", "q": "z + 14", "o": "q + 3", "t": "o + 9", "m": "b + 1", "i": "m + 9", "f": "i + 17", "j": "f + 4", "w": "j + 16", "x": "w + 6", "b": 6}, "premises": {"b": 6}, "target": "t"}, "answer": {"steps": [["o", "q + 3", "q + 12"], ["q", "z + 14", "z + 26"], ["z", "a + 5", "a + 31"], ["a", "s + 8", "s + 39"], ["s", "b + 12", "b + 51"], ["b", 6, "57"]], "target_var_name": "t", "target_value": 57, "value_dict": {"b": 6}, "is_reverse": true}}
| 3,263
| 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 = o + 9; j = f + 4; f = i + 17; m = b + 1; i = m + 9; o = q + 3; w = j + 16; x = w + 6; s = b + 12; q = z + 14; a = s + 8; z = a + 5; b = 6. If b = 6, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = q + 3 to t, which gives t = q + 12.\n2. Substitute q = z + 14 to t, which gives t = z + 26.\n3. Substitute z = a + 5 to t, which gives t = a + 31.\n4. Substitute a = s + 8 to t, which gives t = s + 39.\n5. Substitute s = b + 12 to t, which gives t = b + 51.\n6. Substitute b = 6 to t, which gives t = 57.\n\nThus, the final answer is t = \\boxed{57}.",
"index": 3263,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = o + 9; j = f + 4; f = i + 17; m = b + 1; i = m + 9; o = q + 3; w = j + 16; x = w + 6; s = b + 12; q = z + 14; a = s + 8; z = a + 5; b = 6. If b = 6, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"y": "w + 4", "j": "y + 19", "c": "j + 12", "g": "c + 4", "a": "g + 9", "s": "a + 5", "v": "w + 1", "b": "v + 2", "d": "b + 15", "m": "d + 12", "r": "m + 12", "u": "r + 14", "w": 3}, "premises": {"w": 3}, "target": "s"}, "answer": {"steps": [["a", "g + 9", "g + 14"], ["g", "c + 4", "c + 18"], ["c", "j + 12", "j + 30"], ["j", "y + 19", "y + 49"], ["y", "w + 4", "w + 53"], ["w", 3, "56"]], "target_var_name": "s", "target_value": 56, "value_dict": {"w": 3}, "is_reverse": true}}
| 3,264
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = v + 2; a = g + 9; d = b + 15; v = w + 1; s = a + 5; w = 3; m = d + 12; y = w + 4; c = j + 12; u = r + 14; r = m + 12; j = y + 19; g = c + 4. If w = 3, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = g + 9 to s, which gives s = g + 14.\n2. Substitute g = c + 4 to s, which gives s = c + 18.\n3. Substitute c = j + 12 to s, which gives s = j + 30.\n4. Substitute j = y + 19 to s, which gives s = y + 49.\n5. Substitute y = w + 4 to s, which gives s = w + 53.\n6. Substitute w = 3 to s, which gives s = 56.\n\nThus, the final answer is s = \\boxed{56}.",
"index": 3264,
"question": "Consider a system of variables where each variable is defined as follows: b = v + 2; a = g + 9; d = b + 15; v = w + 1; s = a + 5; w = 3; m = d + 12; y = w + 4; c = j + 12; u = r + 14; r = m + 12; j = y + 19; g = c + 4. If w = 3, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"o": "c + 1", "g": "o + 10", "p": "g + 20", "v": "p + 4", "x": "v + 11", "s": "x + 6", "u": "c + 15", "f": "u + 8", "e": "f + 5", "b": "e + 11", "m": "b + 4", "h": "m + 19", "c": 16}, "premises": {"c": 16}, "target": "s"}, "answer": {"steps": [["x", "v + 11", "v + 17"], ["v", "p + 4", "p + 21"], ["p", "g + 20", "g + 41"], ["g", "o + 10", "o + 51"], ["o", "c + 1", "c + 52"], ["c", 16, "68"]], "target_var_name": "s", "target_value": 68, "value_dict": {"c": 16}, "is_reverse": true}}
| 3,265
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = u + 8; g = o + 10; s = x + 6; u = c + 15; c = 16; o = c + 1; h = m + 19; v = p + 4; m = b + 4; b = e + 11; x = v + 11; p = g + 20; e = f + 5. Given that c = 16, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = v + 11 to s, which gives s = v + 17.\n2. Substitute v = p + 4 to s, which gives s = p + 21.\n3. Substitute p = g + 20 to s, which gives s = g + 41.\n4. Substitute g = o + 10 to s, which gives s = o + 51.\n5. Substitute o = c + 1 to s, which gives s = c + 52.\n6. Substitute c = 16 to s, which gives s = 68.\n\nThus, the final answer is s = \\boxed{68}.",
"index": 3265,
"question": "Suppose a collection of variables is related by the following definitions: f = u + 8; g = o + 10; s = x + 6; u = c + 15; c = 16; o = c + 1; h = m + 19; v = p + 4; m = b + 4; b = e + 11; x = v + 11; p = g + 20; e = f + 5. Given that c = 16, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"r": "i + 13", "g": "r + 17", "s": "g + 1", "p": "s + 4", "h": "p + 19", "d": "h + 19", "o": "i + 12", "f": "o + 14", "q": "f + 11", "v": "q + 9", "j": "v + 6", "n": "j + 20", "i": 18}, "premises": {"i": 18}, "target": "d"}, "answer": {"steps": [["h", "p + 19", "p + 38"], ["p", "s + 4", "s + 42"], ["s", "g + 1", "g + 43"], ["g", "r + 17", "r + 60"], ["r", "i + 13", "i + 73"], ["i", 18, "91"]], "target_var_name": "d", "target_value": 91, "value_dict": {"i": 18}, "is_reverse": true}}
| 3,266
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = h + 19; n = j + 20; r = i + 13; s = g + 1; i = 18; v = q + 9; f = o + 14; p = s + 4; g = r + 17; h = p + 19; q = f + 11; o = i + 12; j = v + 6. Given that i = 18, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = p + 19 to d, which gives d = p + 38.\n2. Substitute p = s + 4 to d, which gives d = s + 42.\n3. Substitute s = g + 1 to d, which gives d = g + 43.\n4. Substitute g = r + 17 to d, which gives d = r + 60.\n5. Substitute r = i + 13 to d, which gives d = i + 73.\n6. Substitute i = 18 to d, which gives d = 91.\n\nThus, the final answer is d = \\boxed{91}.",
"index": 3266,
"question": "Suppose a collection of variables is related by the following definitions: d = h + 19; n = j + 20; r = i + 13; s = g + 1; i = 18; v = q + 9; f = o + 14; p = s + 4; g = r + 17; h = p + 19; q = f + 11; o = i + 12; j = v + 6. Given that i = 18, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"j": "q + 3", "x": "j + 1", "f": "x + 5", "w": "f + 17", "z": "w + 2", "h": "z + 18", "s": "q + 12", "b": "s + 19", "y": "b + 8", "r": "y + 16", "m": "r + 13", "o": "m + 8", "q": 4}, "premises": {"q": 4}, "target": "h"}, "answer": {"steps": [["z", "w + 2", "w + 20"], ["w", "f + 17", "f + 37"], ["f", "x + 5", "x + 42"], ["x", "j + 1", "j + 43"], ["j", "q + 3", "q + 46"], ["q", 4, "50"]], "target_var_name": "h", "target_value": 50, "value_dict": {"q": 4}, "is_reverse": true}}
| 3,267
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = q + 12; f = x + 5; o = m + 8; y = b + 8; m = r + 13; r = y + 16; x = j + 1; w = f + 17; j = q + 3; q = 4; b = s + 19; z = w + 2; h = z + 18. If q = 4, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 50,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = w + 2 to h, which gives h = w + 20.\n2. Substitute w = f + 17 to h, which gives h = f + 37.\n3. Substitute f = x + 5 to h, which gives h = x + 42.\n4. Substitute x = j + 1 to h, which gives h = j + 43.\n5. Substitute j = q + 3 to h, which gives h = q + 46.\n6. Substitute q = 4 to h, which gives h = 50.\n\nThus, the final answer is h = \\boxed{50}.",
"index": 3267,
"question": "Consider a system of variables where each variable is defined as follows: s = q + 12; f = x + 5; o = m + 8; y = b + 8; m = r + 13; r = y + 16; x = j + 1; w = f + 17; j = q + 3; q = 4; b = s + 19; z = w + 2; h = z + 18. If q = 4, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"k": "w + 17", "s": "k + 11", "c": "s + 14", "q": "c + 15", "i": "q + 17", "t": "i + 6", "r": "w + 12", "v": "r + 15", "d": "v + 20", "z": "d + 16", "y": "z + 12", "b": "y + 6", "w": 5}, "premises": {"w": 5}, "target": "t"}, "answer": {"steps": [["i", "q + 17", "q + 23"], ["q", "c + 15", "c + 38"], ["c", "s + 14", "s + 52"], ["s", "k + 11", "k + 63"], ["k", "w + 17", "w + 80"], ["w", 5, "85"]], "target_var_name": "t", "target_value": 85, "value_dict": {"w": 5}, "is_reverse": true}}
| 3,268
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = z + 12; b = y + 6; c = s + 14; r = w + 12; t = i + 6; z = d + 16; i = q + 17; w = 5; v = r + 15; s = k + 11; k = w + 17; d = v + 20; q = c + 15. If w = 5, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = q + 17 to t, which gives t = q + 23.\n2. Substitute q = c + 15 to t, which gives t = c + 38.\n3. Substitute c = s + 14 to t, which gives t = s + 52.\n4. Substitute s = k + 11 to t, which gives t = k + 63.\n5. Substitute k = w + 17 to t, which gives t = w + 80.\n6. Substitute w = 5 to t, which gives t = 85.\n\nThus, the final answer is t = \\boxed{85}.",
"index": 3268,
"question": "Consider a system of variables where each variable is defined as follows: y = z + 12; b = y + 6; c = s + 14; r = w + 12; t = i + 6; z = d + 16; i = q + 17; w = 5; v = r + 15; s = k + 11; k = w + 17; d = v + 20; q = c + 15. If w = 5, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"a": "s + 5", "d": "a + 15", "e": "d + 14", "r": "e + 2", "t": "r + 19", "c": "t + 18", "k": "s + 9", "i": "k + 17", "m": "i + 12", "h": "m + 13", "w": "h + 10", "v": "w + 16", "s": 17}, "premises": {"s": 17}, "target": "c"}, "answer": {"steps": [["t", "r + 19", "r + 37"], ["r", "e + 2", "e + 39"], ["e", "d + 14", "d + 53"], ["d", "a + 15", "a + 68"], ["a", "s + 5", "s + 73"], ["s", 17, "90"]], "target_var_name": "c", "target_value": 90, "value_dict": {"s": 17}, "is_reverse": true}}
| 3,269
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = h + 10; s = 17; d = a + 15; e = d + 14; a = s + 5; k = s + 9; m = i + 12; c = t + 18; r = e + 2; t = r + 19; h = m + 13; v = w + 16; i = k + 17. Given that s = 17, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = r + 19 to c, which gives c = r + 37.\n2. Substitute r = e + 2 to c, which gives c = e + 39.\n3. Substitute e = d + 14 to c, which gives c = d + 53.\n4. Substitute d = a + 15 to c, which gives c = a + 68.\n5. Substitute a = s + 5 to c, which gives c = s + 73.\n6. Substitute s = 17 to c, which gives c = 90.\n\nThus, the final answer is c = \\boxed{90}.",
"index": 3269,
"question": "Suppose a collection of variables is related by the following definitions: w = h + 10; s = 17; d = a + 15; e = d + 14; a = s + 5; k = s + 9; m = i + 12; c = t + 18; r = e + 2; t = r + 19; h = m + 13; v = w + 16; i = k + 17. Given that s = 17, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"v": "u + 17", "i": "v + 17", "y": "i + 19", "p": "y + 19", "g": "p + 16", "r": "g + 5", "n": "u + 15", "e": "n + 11", "b": "e + 10", "f": "b + 20", "k": "f + 14", "j": "k + 6", "u": 12}, "premises": {"u": 12}, "target": "r"}, "answer": {"steps": [["g", "p + 16", "p + 21"], ["p", "y + 19", "y + 40"], ["y", "i + 19", "i + 59"], ["i", "v + 17", "v + 76"], ["v", "u + 17", "u + 93"], ["u", 12, "105"]], "target_var_name": "r", "target_value": 105, "value_dict": {"u": 12}, "is_reverse": true}}
| 3,270
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = y + 19; y = i + 19; i = v + 17; g = p + 16; e = n + 11; r = g + 5; f = b + 20; b = e + 10; u = 12; n = u + 15; j = k + 6; v = u + 17; k = f + 14. If u = 12, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 105,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = p + 16 to r, which gives r = p + 21.\n2. Substitute p = y + 19 to r, which gives r = y + 40.\n3. Substitute y = i + 19 to r, which gives r = i + 59.\n4. Substitute i = v + 17 to r, which gives r = v + 76.\n5. Substitute v = u + 17 to r, which gives r = u + 93.\n6. Substitute u = 12 to r, which gives r = 105.\n\nThus, the final answer is r = \\boxed{105}.",
"index": 3270,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = y + 19; y = i + 19; i = v + 17; g = p + 16; e = n + 11; r = g + 5; f = b + 20; b = e + 10; u = 12; n = u + 15; j = k + 6; v = u + 17; k = f + 14. If u = 12, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"h": "f + 10", "z": "h + 14", "u": "z + 8", "i": "u + 1", "w": "i + 4", "p": "w + 4", "r": "f + 13", "y": "r + 4", "g": "y + 18", "q": "g + 9", "k": "q + 19", "x": "k + 1", "f": 18}, "premises": {"f": 18}, "target": "p"}, "answer": {"steps": [["w", "i + 4", "i + 8"], ["i", "u + 1", "u + 9"], ["u", "z + 8", "z + 17"], ["z", "h + 14", "h + 31"], ["h", "f + 10", "f + 41"], ["f", 18, "59"]], "target_var_name": "p", "target_value": 59, "value_dict": {"f": 18}, "is_reverse": true}}
| 3,271
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = y + 18; w = i + 4; y = r + 4; z = h + 14; h = f + 10; f = 18; x = k + 1; u = z + 8; p = w + 4; r = f + 13; k = q + 19; i = u + 1; q = g + 9. If f = 18, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = i + 4 to p, which gives p = i + 8.\n2. Substitute i = u + 1 to p, which gives p = u + 9.\n3. Substitute u = z + 8 to p, which gives p = z + 17.\n4. Substitute z = h + 14 to p, which gives p = h + 31.\n5. Substitute h = f + 10 to p, which gives p = f + 41.\n6. Substitute f = 18 to p, which gives p = 59.\n\nThus, the final answer is p = \\boxed{59}.",
"index": 3271,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = y + 18; w = i + 4; y = r + 4; z = h + 14; h = f + 10; f = 18; x = k + 1; u = z + 8; p = w + 4; r = f + 13; k = q + 19; i = u + 1; q = g + 9. If f = 18, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"v": "p + 19", "a": "v + 13", "l": "a + 9", "j": "l + 20", "q": "j + 4", "x": "q + 6", "f": "p + 19", "k": "f + 19", "s": "k + 5", "r": "s + 3", "w": "r + 18", "d": "w + 19", "p": 3}, "premises": {"p": 3}, "target": "x"}, "answer": {"steps": [["q", "j + 4", "j + 10"], ["j", "l + 20", "l + 30"], ["l", "a + 9", "a + 39"], ["a", "v + 13", "v + 52"], ["v", "p + 19", "p + 71"], ["p", 3, "74"]], "target_var_name": "x", "target_value": 74, "value_dict": {"p": 3}, "is_reverse": true}}
| 3,272
| 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 = 3; r = s + 3; a = v + 13; q = j + 4; f = p + 19; s = k + 5; k = f + 19; j = l + 20; w = r + 18; l = a + 9; v = p + 19; x = q + 6; d = w + 19. If p = 3, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = j + 4 to x, which gives x = j + 10.\n2. Substitute j = l + 20 to x, which gives x = l + 30.\n3. Substitute l = a + 9 to x, which gives x = a + 39.\n4. Substitute a = v + 13 to x, which gives x = v + 52.\n5. Substitute v = p + 19 to x, which gives x = p + 71.\n6. Substitute p = 3 to x, which gives x = 74.\n\nThus, the final answer is x = \\boxed{74}.",
"index": 3272,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = 3; r = s + 3; a = v + 13; q = j + 4; f = p + 19; s = k + 5; k = f + 19; j = l + 20; w = r + 18; l = a + 9; v = p + 19; x = q + 6; d = w + 19. If p = 3, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"x": "d + 2", "j": "x + 19", "m": "j + 4", "s": "m + 10", "b": "s + 15", "a": "b + 2", "o": "d + 3", "c": "o + 2", "l": "c + 15", "q": "l + 9", "i": "q + 13", "w": "i + 16", "d": 18}, "premises": {"d": 18}, "target": "a"}, "answer": {"steps": [["b", "s + 15", "s + 17"], ["s", "m + 10", "m + 27"], ["m", "j + 4", "j + 31"], ["j", "x + 19", "x + 50"], ["x", "d + 2", "d + 52"], ["d", 18, "70"]], "target_var_name": "a", "target_value": 70, "value_dict": {"d": 18}, "is_reverse": true}}
| 3,273
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = x + 19; i = q + 13; m = j + 4; l = c + 15; q = l + 9; x = d + 2; b = s + 15; a = b + 2; c = o + 2; w = i + 16; d = 18; o = d + 3; s = m + 10. If d = 18, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = s + 15 to a, which gives a = s + 17.\n2. Substitute s = m + 10 to a, which gives a = m + 27.\n3. Substitute m = j + 4 to a, which gives a = j + 31.\n4. Substitute j = x + 19 to a, which gives a = x + 50.\n5. Substitute x = d + 2 to a, which gives a = d + 52.\n6. Substitute d = 18 to a, which gives a = 70.\n\nThus, the final answer is a = \\boxed{70}.",
"index": 3273,
"question": "Consider a system of variables where each variable is defined as follows: j = x + 19; i = q + 13; m = j + 4; l = c + 15; q = l + 9; x = d + 2; b = s + 15; a = b + 2; c = o + 2; w = i + 16; d = 18; o = d + 3; s = m + 10. If d = 18, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"j": "q + 1", "c": "j + 1", "k": "c + 8", "o": "k + 6", "l": "o + 7", "n": "l + 17", "p": "q + 19", "m": "p + 4", "d": "m + 19", "w": "d + 12", "s": "w + 9", "r": "s + 18", "q": 9}, "premises": {"q": 9}, "target": "n"}, "answer": {"steps": [["l", "o + 7", "o + 24"], ["o", "k + 6", "k + 30"], ["k", "c + 8", "c + 38"], ["c", "j + 1", "j + 39"], ["j", "q + 1", "q + 40"], ["q", 9, "49"]], "target_var_name": "n", "target_value": 49, "value_dict": {"q": 9}, "is_reverse": true}}
| 3,274
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = 9; n = l + 17; s = w + 9; m = p + 4; j = q + 1; w = d + 12; c = j + 1; o = k + 6; d = m + 19; r = s + 18; p = q + 19; k = c + 8; l = o + 7. If q = 9, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = o + 7 to n, which gives n = o + 24.\n2. Substitute o = k + 6 to n, which gives n = k + 30.\n3. Substitute k = c + 8 to n, which gives n = c + 38.\n4. Substitute c = j + 1 to n, which gives n = j + 39.\n5. Substitute j = q + 1 to n, which gives n = q + 40.\n6. Substitute q = 9 to n, which gives n = 49.\n\nThus, the final answer is n = \\boxed{49}.",
"index": 3274,
"question": "Consider a system of variables where each variable is defined as follows: q = 9; n = l + 17; s = w + 9; m = p + 4; j = q + 1; w = d + 12; c = j + 1; o = k + 6; d = m + 19; r = s + 18; p = q + 19; k = c + 8; l = o + 7. If q = 9, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"y": "z + 12", "k": "y + 8", "o": "k + 2", "d": "o + 8", "t": "d + 18", "l": "t + 2", "f": "z + 8", "n": "f + 16", "g": "n + 13", "i": "g + 12", "b": "i + 14", "w": "b + 1", "z": 20}, "premises": {"z": 20}, "target": "l"}, "answer": {"steps": [["t", "d + 18", "d + 20"], ["d", "o + 8", "o + 28"], ["o", "k + 2", "k + 30"], ["k", "y + 8", "y + 38"], ["y", "z + 12", "z + 50"], ["z", 20, "70"]], "target_var_name": "l", "target_value": 70, "value_dict": {"z": 20}, "is_reverse": true}}
| 3,275
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = 20; y = z + 12; g = n + 13; d = o + 8; k = y + 8; w = b + 1; i = g + 12; o = k + 2; l = t + 2; n = f + 16; f = z + 8; b = i + 14; t = d + 18. Given that z = 20, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = d + 18 to l, which gives l = d + 20.\n2. Substitute d = o + 8 to l, which gives l = o + 28.\n3. Substitute o = k + 2 to l, which gives l = k + 30.\n4. Substitute k = y + 8 to l, which gives l = y + 38.\n5. Substitute y = z + 12 to l, which gives l = z + 50.\n6. Substitute z = 20 to l, which gives l = 70.\n\nThus, the final answer is l = \\boxed{70}.",
"index": 3275,
"question": "Suppose a collection of variables is related by the following definitions: z = 20; y = z + 12; g = n + 13; d = o + 8; k = y + 8; w = b + 1; i = g + 12; o = k + 2; l = t + 2; n = f + 16; f = z + 8; b = i + 14; t = d + 18. Given that z = 20, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"z": "n + 19", "l": "z + 18", "s": "l + 19", "t": "s + 4", "k": "t + 2", "q": "k + 9", "i": "n + 1", "p": "i + 4", "f": "p + 16", "x": "f + 18", "w": "x + 9", "r": "w + 3", "n": 9}, "premises": {"n": 9}, "target": "q"}, "answer": {"steps": [["k", "t + 2", "t + 11"], ["t", "s + 4", "s + 15"], ["s", "l + 19", "l + 34"], ["l", "z + 18", "z + 52"], ["z", "n + 19", "n + 71"], ["n", 9, "80"]], "target_var_name": "q", "target_value": 80, "value_dict": {"n": 9}, "is_reverse": true}}
| 3,276
| 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 = l + 19; x = f + 18; r = w + 3; p = i + 4; i = n + 1; z = n + 19; f = p + 16; k = t + 2; w = x + 9; t = s + 4; l = z + 18; n = 9; q = k + 9. If n = 9, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = t + 2 to q, which gives q = t + 11.\n2. Substitute t = s + 4 to q, which gives q = s + 15.\n3. Substitute s = l + 19 to q, which gives q = l + 34.\n4. Substitute l = z + 18 to q, which gives q = z + 52.\n5. Substitute z = n + 19 to q, which gives q = n + 71.\n6. Substitute n = 9 to q, which gives q = 80.\n\nThus, the final answer is q = \\boxed{80}.",
"index": 3276,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = l + 19; x = f + 18; r = w + 3; p = i + 4; i = n + 1; z = n + 19; f = p + 16; k = t + 2; w = x + 9; t = s + 4; l = z + 18; n = 9; q = k + 9. If n = 9, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"e": "r + 6", "q": "e + 10", "u": "q + 20", "x": "u + 3", "p": "x + 18", "d": "p + 8", "i": "r + 8", "k": "i + 19", "g": "k + 18", "j": "g + 17", "t": "j + 18", "o": "t + 6", "r": 18}, "premises": {"r": 18}, "target": "d"}, "answer": {"steps": [["p", "x + 18", "x + 26"], ["x", "u + 3", "u + 29"], ["u", "q + 20", "q + 49"], ["q", "e + 10", "e + 59"], ["e", "r + 6", "r + 65"], ["r", 18, "83"]], "target_var_name": "d", "target_value": 83, "value_dict": {"r": 18}, "is_reverse": true}}
| 3,277
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = 18; x = u + 3; j = g + 17; q = e + 10; p = x + 18; i = r + 8; u = q + 20; k = i + 19; o = t + 6; d = p + 8; t = j + 18; e = r + 6; g = k + 18. Given that r = 18, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = x + 18 to d, which gives d = x + 26.\n2. Substitute x = u + 3 to d, which gives d = u + 29.\n3. Substitute u = q + 20 to d, which gives d = q + 49.\n4. Substitute q = e + 10 to d, which gives d = e + 59.\n5. Substitute e = r + 6 to d, which gives d = r + 65.\n6. Substitute r = 18 to d, which gives d = 83.\n\nThus, the final answer is d = \\boxed{83}.",
"index": 3277,
"question": "Suppose a collection of variables is related by the following definitions: r = 18; x = u + 3; j = g + 17; q = e + 10; p = x + 18; i = r + 8; u = q + 20; k = i + 19; o = t + 6; d = p + 8; t = j + 18; e = r + 6; g = k + 18. Given that r = 18, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"h": "k + 5", "w": "h + 11", "t": "w + 5", "y": "t + 3", "q": "y + 9", "b": "q + 11", "r": "k + 5", "x": "r + 3", "n": "x + 15", "g": "n + 7", "d": "g + 8", "m": "d + 20", "k": 5}, "premises": {"k": 5}, "target": "b"}, "answer": {"steps": [["q", "y + 9", "y + 20"], ["y", "t + 3", "t + 23"], ["t", "w + 5", "w + 28"], ["w", "h + 11", "h + 39"], ["h", "k + 5", "k + 44"], ["k", 5, "49"]], "target_var_name": "b", "target_value": 49, "value_dict": {"k": 5}, "is_reverse": true}}
| 3,278
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = y + 9; t = w + 5; r = k + 5; h = k + 5; n = x + 15; d = g + 8; g = n + 7; k = 5; x = r + 3; y = t + 3; w = h + 11; m = d + 20; b = q + 11. If k = 5, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = y + 9 to b, which gives b = y + 20.\n2. Substitute y = t + 3 to b, which gives b = t + 23.\n3. Substitute t = w + 5 to b, which gives b = w + 28.\n4. Substitute w = h + 11 to b, which gives b = h + 39.\n5. Substitute h = k + 5 to b, which gives b = k + 44.\n6. Substitute k = 5 to b, which gives b = 49.\n\nThus, the final answer is b = \\boxed{49}.",
"index": 3278,
"question": "Consider a system of variables where each variable is defined as follows: q = y + 9; t = w + 5; r = k + 5; h = k + 5; n = x + 15; d = g + 8; g = n + 7; k = 5; x = r + 3; y = t + 3; w = h + 11; m = d + 20; b = q + 11. If k = 5, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"z": "v + 1", "s": "z + 11", "c": "s + 14", "u": "c + 11", "x": "u + 12", "y": "x + 6", "l": "v + 9", "m": "l + 18", "d": "m + 13", "q": "d + 19", "e": "q + 1", "t": "e + 16", "v": 6}, "premises": {"v": 6}, "target": "y"}, "answer": {"steps": [["x", "u + 12", "u + 18"], ["u", "c + 11", "c + 29"], ["c", "s + 14", "s + 43"], ["s", "z + 11", "z + 54"], ["z", "v + 1", "v + 55"], ["v", 6, "61"]], "target_var_name": "y", "target_value": 61, "value_dict": {"v": 6}, "is_reverse": true}}
| 3,279
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = s + 14; s = z + 11; q = d + 19; u = c + 11; x = u + 12; t = e + 16; v = 6; y = x + 6; l = v + 9; e = q + 1; d = m + 13; z = v + 1; m = l + 18. Given that v = 6, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = u + 12 to y, which gives y = u + 18.\n2. Substitute u = c + 11 to y, which gives y = c + 29.\n3. Substitute c = s + 14 to y, which gives y = s + 43.\n4. Substitute s = z + 11 to y, which gives y = z + 54.\n5. Substitute z = v + 1 to y, which gives y = v + 55.\n6. Substitute v = 6 to y, which gives y = 61.\n\nThus, the final answer is y = \\boxed{61}.",
"index": 3279,
"question": "Suppose a collection of variables is related by the following definitions: c = s + 14; s = z + 11; q = d + 19; u = c + 11; x = u + 12; t = e + 16; v = 6; y = x + 6; l = v + 9; e = q + 1; d = m + 13; z = v + 1; m = l + 18. Given that v = 6, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"h": "j + 7", "c": "h + 14", "t": "c + 6", "a": "t + 1", "m": "a + 18", "v": "m + 9", "f": "j + 18", "z": "f + 14", "s": "z + 20", "u": "s + 19", "l": "u + 2", "w": "l + 20", "j": 15}, "premises": {"j": 15}, "target": "v"}, "answer": {"steps": [["m", "a + 18", "a + 27"], ["a", "t + 1", "t + 28"], ["t", "c + 6", "c + 34"], ["c", "h + 14", "h + 48"], ["h", "j + 7", "j + 55"], ["j", 15, "70"]], "target_var_name": "v", "target_value": 70, "value_dict": {"j": 15}, "is_reverse": true}}
| 3,280
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = 15; z = f + 14; h = j + 7; v = m + 9; w = l + 20; t = c + 6; a = t + 1; f = j + 18; l = u + 2; m = a + 18; u = s + 19; s = z + 20; c = h + 14. If j = 15, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = a + 18 to v, which gives v = a + 27.\n2. Substitute a = t + 1 to v, which gives v = t + 28.\n3. Substitute t = c + 6 to v, which gives v = c + 34.\n4. Substitute c = h + 14 to v, which gives v = h + 48.\n5. Substitute h = j + 7 to v, which gives v = j + 55.\n6. Substitute j = 15 to v, which gives v = 70.\n\nThus, the final answer is v = \\boxed{70}.",
"index": 3280,
"question": "Consider a system of variables where each variable is defined as follows: j = 15; z = f + 14; h = j + 7; v = m + 9; w = l + 20; t = c + 6; a = t + 1; f = j + 18; l = u + 2; m = a + 18; u = s + 19; s = z + 20; c = h + 14. If j = 15, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"d": "f + 14", "z": "d + 4", "r": "z + 14", "p": "r + 4", "l": "p + 19", "j": "l + 4", "c": "f + 13", "b": "c + 3", "t": "b + 6", "e": "t + 14", "x": "e + 18", "k": "x + 5", "f": 18}, "premises": {"f": 18}, "target": "j"}, "answer": {"steps": [["l", "p + 19", "p + 23"], ["p", "r + 4", "r + 27"], ["r", "z + 14", "z + 41"], ["z", "d + 4", "d + 45"], ["d", "f + 14", "f + 59"], ["f", 18, "77"]], "target_var_name": "j", "target_value": 77, "value_dict": {"f": 18}, "is_reverse": true}}
| 3,281
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = r + 4; b = c + 3; c = f + 13; d = f + 14; f = 18; l = p + 19; k = x + 5; r = z + 14; x = e + 18; t = b + 6; z = d + 4; j = l + 4; e = t + 14. Given that f = 18, find the 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 l = p + 19 to j, which gives j = p + 23.\n2. Substitute p = r + 4 to j, which gives j = r + 27.\n3. Substitute r = z + 14 to j, which gives j = z + 41.\n4. Substitute z = d + 4 to j, which gives j = d + 45.\n5. Substitute d = f + 14 to j, which gives j = f + 59.\n6. Substitute f = 18 to j, which gives j = 77.\n\nThus, the final answer is j = \\boxed{77}.",
"index": 3281,
"question": "Suppose a collection of variables is related by the following definitions: p = r + 4; b = c + 3; c = f + 13; d = f + 14; f = 18; l = p + 19; k = x + 5; r = z + 14; x = e + 18; t = b + 6; z = d + 4; j = l + 4; e = t + 14. Given that f = 18, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"k": "s + 7", "m": "k + 10", "x": "m + 13", "d": "x + 2", "f": "d + 9", "r": "f + 6", "a": "s + 10", "e": "a + 15", "c": "e + 10", "l": "c + 2", "v": "l + 13", "i": "v + 4", "s": 4}, "premises": {"s": 4}, "target": "r"}, "answer": {"steps": [["f", "d + 9", "d + 15"], ["d", "x + 2", "x + 17"], ["x", "m + 13", "m + 30"], ["m", "k + 10", "k + 40"], ["k", "s + 7", "s + 47"], ["s", 4, "51"]], "target_var_name": "r", "target_value": 51, "value_dict": {"s": 4}, "is_reverse": true}}
| 3,282
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = a + 15; s = 4; c = e + 10; d = x + 2; i = v + 4; l = c + 2; f = d + 9; k = s + 7; a = s + 10; m = k + 10; x = m + 13; r = f + 6; v = l + 13. Given that s = 4, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = d + 9 to r, which gives r = d + 15.\n2. Substitute d = x + 2 to r, which gives r = x + 17.\n3. Substitute x = m + 13 to r, which gives r = m + 30.\n4. Substitute m = k + 10 to r, which gives r = k + 40.\n5. Substitute k = s + 7 to r, which gives r = s + 47.\n6. Substitute s = 4 to r, which gives r = 51.\n\nThus, the final answer is r = \\boxed{51}.",
"index": 3282,
"question": "Suppose a collection of variables is related by the following definitions: e = a + 15; s = 4; c = e + 10; d = x + 2; i = v + 4; l = c + 2; f = d + 9; k = s + 7; a = s + 10; m = k + 10; x = m + 13; r = f + 6; v = l + 13. Given that s = 4, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"c": "t + 10", "m": "c + 18", "q": "m + 5", "y": "q + 3", "f": "y + 19", "i": "f + 10", "j": "t + 9", "w": "j + 11", "h": "w + 3", "z": "h + 16", "p": "z + 14", "k": "p + 3", "t": 15}, "premises": {"t": 15}, "target": "i"}, "answer": {"steps": [["f", "y + 19", "y + 29"], ["y", "q + 3", "q + 32"], ["q", "m + 5", "m + 37"], ["m", "c + 18", "c + 55"], ["c", "t + 10", "t + 65"], ["t", 15, "80"]], "target_var_name": "i", "target_value": 80, "value_dict": {"t": 15}, "is_reverse": true}}
| 3,283
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = c + 18; y = q + 3; i = f + 10; j = t + 9; q = m + 5; f = y + 19; h = w + 3; t = 15; k = p + 3; c = t + 10; w = j + 11; p = z + 14; z = h + 16. If t = 15, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = y + 19 to i, which gives i = y + 29.\n2. Substitute y = q + 3 to i, which gives i = q + 32.\n3. Substitute q = m + 5 to i, which gives i = m + 37.\n4. Substitute m = c + 18 to i, which gives i = c + 55.\n5. Substitute c = t + 10 to i, which gives i = t + 65.\n6. Substitute t = 15 to i, which gives i = 80.\n\nThus, the final answer is i = \\boxed{80}.",
"index": 3283,
"question": "Consider a system of variables where each variable is defined as follows: m = c + 18; y = q + 3; i = f + 10; j = t + 9; q = m + 5; f = y + 19; h = w + 3; t = 15; k = p + 3; c = t + 10; w = j + 11; p = z + 14; z = h + 16. If t = 15, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"i": "s + 16", "d": "i + 3", "m": "d + 7", "n": "m + 19", "l": "n + 2", "q": "l + 7", "r": "s + 12", "k": "r + 3", "g": "k + 6", "j": "g + 20", "h": "j + 5", "b": "h + 14", "s": 3}, "premises": {"s": 3}, "target": "q"}, "answer": {"steps": [["l", "n + 2", "n + 9"], ["n", "m + 19", "m + 28"], ["m", "d + 7", "d + 35"], ["d", "i + 3", "i + 38"], ["i", "s + 16", "s + 54"], ["s", 3, "57"]], "target_var_name": "q", "target_value": 57, "value_dict": {"s": 3}, "is_reverse": true}}
| 3,284
| 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 = s + 16; m = d + 7; r = s + 12; d = i + 3; b = h + 14; g = k + 6; q = l + 7; l = n + 2; j = g + 20; s = 3; k = r + 3; h = j + 5; n = m + 19. If s = 3, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = n + 2 to q, which gives q = n + 9.\n2. Substitute n = m + 19 to q, which gives q = m + 28.\n3. Substitute m = d + 7 to q, which gives q = d + 35.\n4. Substitute d = i + 3 to q, which gives q = i + 38.\n5. Substitute i = s + 16 to q, which gives q = s + 54.\n6. Substitute s = 3 to q, which gives q = 57.\n\nThus, the final answer is q = \\boxed{57}.",
"index": 3284,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = s + 16; m = d + 7; r = s + 12; d = i + 3; b = h + 14; g = k + 6; q = l + 7; l = n + 2; j = g + 20; s = 3; k = r + 3; h = j + 5; n = m + 19. If s = 3, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"c": "r + 12", "n": "c + 3", "k": "n + 1", "d": "k + 7", "m": "d + 19", "p": "m + 5", "w": "r + 16", "i": "w + 6", "e": "i + 3", "y": "e + 10", "h": "y + 9", "t": "h + 5", "r": 15}, "premises": {"r": 15}, "target": "p"}, "answer": {"steps": [["m", "d + 19", "d + 24"], ["d", "k + 7", "k + 31"], ["k", "n + 1", "n + 32"], ["n", "c + 3", "c + 35"], ["c", "r + 12", "r + 47"], ["r", 15, "62"]], "target_var_name": "p", "target_value": 62, "value_dict": {"r": 15}, "is_reverse": true}}
| 3,285
| 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 = m + 5; d = k + 7; t = h + 5; i = w + 6; y = e + 10; k = n + 1; r = 15; c = r + 12; n = c + 3; e = i + 3; w = r + 16; h = y + 9; m = d + 19. If r = 15, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = d + 19 to p, which gives p = d + 24.\n2. Substitute d = k + 7 to p, which gives p = k + 31.\n3. Substitute k = n + 1 to p, which gives p = n + 32.\n4. Substitute n = c + 3 to p, which gives p = c + 35.\n5. Substitute c = r + 12 to p, which gives p = r + 47.\n6. Substitute r = 15 to p, which gives p = 62.\n\nThus, the final answer is p = \\boxed{62}.",
"index": 3285,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = m + 5; d = k + 7; t = h + 5; i = w + 6; y = e + 10; k = n + 1; r = 15; c = r + 12; n = c + 3; e = i + 3; w = r + 16; h = y + 9; m = d + 19. If r = 15, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"z": "v + 20", "n": "z + 20", "q": "n + 7", "d": "q + 4", "p": "d + 18", "i": "p + 7", "o": "v + 3", "s": "o + 13", "m": "s + 9", "l": "m + 12", "y": "l + 4", "a": "y + 16", "v": 10}, "premises": {"v": 10}, "target": "i"}, "answer": {"steps": [["p", "d + 18", "d + 25"], ["d", "q + 4", "q + 29"], ["q", "n + 7", "n + 36"], ["n", "z + 20", "z + 56"], ["z", "v + 20", "v + 76"], ["v", 10, "86"]], "target_var_name": "i", "target_value": 86, "value_dict": {"v": 10}, "is_reverse": true}}
| 3,286
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = l + 4; v = 10; s = o + 13; a = y + 16; i = p + 7; z = v + 20; q = n + 7; p = d + 18; l = m + 12; d = q + 4; o = v + 3; n = z + 20; m = s + 9. Given that v = 10, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = d + 18 to i, which gives i = d + 25.\n2. Substitute d = q + 4 to i, which gives i = q + 29.\n3. Substitute q = n + 7 to i, which gives i = n + 36.\n4. Substitute n = z + 20 to i, which gives i = z + 56.\n5. Substitute z = v + 20 to i, which gives i = v + 76.\n6. Substitute v = 10 to i, which gives i = 86.\n\nThus, the final answer is i = \\boxed{86}.",
"index": 3286,
"question": "Suppose a collection of variables is related by the following definitions: y = l + 4; v = 10; s = o + 13; a = y + 16; i = p + 7; z = v + 20; q = n + 7; p = d + 18; l = m + 12; d = q + 4; o = v + 3; n = z + 20; m = s + 9. Given that v = 10, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"u": "z + 18", "m": "u + 3", "i": "m + 3", "w": "i + 2", "p": "w + 7", "r": "p + 10", "e": "z + 7", "a": "e + 16", "g": "a + 8", "d": "g + 8", "f": "d + 6", "l": "f + 7", "z": 19}, "premises": {"z": 19}, "target": "r"}, "answer": {"steps": [["p", "w + 7", "w + 17"], ["w", "i + 2", "i + 19"], ["i", "m + 3", "m + 22"], ["m", "u + 3", "u + 25"], ["u", "z + 18", "z + 43"], ["z", 19, "62"]], "target_var_name": "r", "target_value": 62, "value_dict": {"z": 19}, "is_reverse": true}}
| 3,287
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = g + 8; r = p + 10; u = z + 18; p = w + 7; f = d + 6; l = f + 7; e = z + 7; g = a + 8; m = u + 3; a = e + 16; i = m + 3; z = 19; w = i + 2. Given that z = 19, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = w + 7 to r, which gives r = w + 17.\n2. Substitute w = i + 2 to r, which gives r = i + 19.\n3. Substitute i = m + 3 to r, which gives r = m + 22.\n4. Substitute m = u + 3 to r, which gives r = u + 25.\n5. Substitute u = z + 18 to r, which gives r = z + 43.\n6. Substitute z = 19 to r, which gives r = 62.\n\nThus, the final answer is r = \\boxed{62}.",
"index": 3287,
"question": "Suppose a collection of variables is related by the following definitions: d = g + 8; r = p + 10; u = z + 18; p = w + 7; f = d + 6; l = f + 7; e = z + 7; g = a + 8; m = u + 3; a = e + 16; i = m + 3; z = 19; w = i + 2. Given that z = 19, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"x": "s + 9", "b": "x + 7", "r": "b + 6", "d": "r + 15", "k": "d + 1", "m": "k + 11", "y": "s + 14", "o": "y + 2", "v": "o + 12", "f": "v + 12", "j": "f + 5", "e": "j + 10", "s": 7}, "premises": {"s": 7}, "target": "m"}, "answer": {"steps": [["k", "d + 1", "d + 12"], ["d", "r + 15", "r + 27"], ["r", "b + 6", "b + 33"], ["b", "x + 7", "x + 40"], ["x", "s + 9", "s + 49"], ["s", 7, "56"]], "target_var_name": "m", "target_value": 56, "value_dict": {"s": 7}, "is_reverse": true}}
| 3,288
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = b + 6; x = s + 9; f = v + 12; s = 7; j = f + 5; b = x + 7; d = r + 15; o = y + 2; y = s + 14; k = d + 1; m = k + 11; e = j + 10; v = o + 12. Given that s = 7, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = d + 1 to m, which gives m = d + 12.\n2. Substitute d = r + 15 to m, which gives m = r + 27.\n3. Substitute r = b + 6 to m, which gives m = b + 33.\n4. Substitute b = x + 7 to m, which gives m = x + 40.\n5. Substitute x = s + 9 to m, which gives m = s + 49.\n6. Substitute s = 7 to m, which gives m = 56.\n\nThus, the final answer is m = \\boxed{56}.",
"index": 3288,
"question": "Suppose a collection of variables is related by the following definitions: r = b + 6; x = s + 9; f = v + 12; s = 7; j = f + 5; b = x + 7; d = r + 15; o = y + 2; y = s + 14; k = d + 1; m = k + 11; e = j + 10; v = o + 12. Given that s = 7, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"r": "e + 19", "v": "r + 18", "s": "v + 13", "p": "s + 4", "o": "p + 7", "x": "o + 15", "n": "e + 15", "g": "n + 1", "w": "g + 13", "c": "w + 12", "u": "c + 17", "i": "u + 6", "e": 20}, "premises": {"e": 20}, "target": "x"}, "answer": {"steps": [["o", "p + 7", "p + 22"], ["p", "s + 4", "s + 26"], ["s", "v + 13", "v + 39"], ["v", "r + 18", "r + 57"], ["r", "e + 19", "e + 76"], ["e", 20, "96"]], "target_var_name": "x", "target_value": 96, "value_dict": {"e": 20}, "is_reverse": true}}
| 3,289
| 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 = 20; o = p + 7; w = g + 13; c = w + 12; g = n + 1; r = e + 19; u = c + 17; v = r + 18; i = u + 6; s = v + 13; p = s + 4; x = o + 15; n = e + 15. If e = 20, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 96,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = p + 7 to x, which gives x = p + 22.\n2. Substitute p = s + 4 to x, which gives x = s + 26.\n3. Substitute s = v + 13 to x, which gives x = v + 39.\n4. Substitute v = r + 18 to x, which gives x = r + 57.\n5. Substitute r = e + 19 to x, which gives x = e + 76.\n6. Substitute e = 20 to x, which gives x = 96.\n\nThus, the final answer is x = \\boxed{96}.",
"index": 3289,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = 20; o = p + 7; w = g + 13; c = w + 12; g = n + 1; r = e + 19; u = c + 17; v = r + 18; i = u + 6; s = v + 13; p = s + 4; x = o + 15; n = e + 15. If e = 20, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"i": "y + 1", "z": "i + 7", "w": "z + 12", "l": "w + 4", "c": "l + 5", "k": "c + 8", "x": "y + 6", "a": "x + 9", "t": "a + 4", "h": "t + 5", "e": "h + 5", "q": "e + 13", "y": 13}, "premises": {"y": 13}, "target": "k"}, "answer": {"steps": [["c", "l + 5", "l + 13"], ["l", "w + 4", "w + 17"], ["w", "z + 12", "z + 29"], ["z", "i + 7", "i + 36"], ["i", "y + 1", "y + 37"], ["y", 13, "50"]], "target_var_name": "k", "target_value": 50, "value_dict": {"y": 13}, "is_reverse": true}}
| 3,290
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = t + 5; q = e + 13; k = c + 8; y = 13; c = l + 5; x = y + 6; a = x + 9; z = i + 7; l = w + 4; i = y + 1; t = a + 4; e = h + 5; w = z + 12. If y = 13, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 50,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = l + 5 to k, which gives k = l + 13.\n2. Substitute l = w + 4 to k, which gives k = w + 17.\n3. Substitute w = z + 12 to k, which gives k = z + 29.\n4. Substitute z = i + 7 to k, which gives k = i + 36.\n5. Substitute i = y + 1 to k, which gives k = y + 37.\n6. Substitute y = 13 to k, which gives k = 50.\n\nThus, the final answer is k = \\boxed{50}.",
"index": 3290,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = t + 5; q = e + 13; k = c + 8; y = 13; c = l + 5; x = y + 6; a = x + 9; z = i + 7; l = w + 4; i = y + 1; t = a + 4; e = h + 5; w = z + 12. If y = 13, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"n": "q + 16", "l": "n + 10", "a": "l + 7", "x": "a + 1", "j": "x + 13", "g": "j + 13", "t": "q + 11", "d": "t + 18", "k": "d + 18", "z": "k + 13", "h": "z + 7", "r": "h + 7", "q": 13}, "premises": {"q": 13}, "target": "g"}, "answer": {"steps": [["j", "x + 13", "x + 26"], ["x", "a + 1", "a + 27"], ["a", "l + 7", "l + 34"], ["l", "n + 10", "n + 44"], ["n", "q + 16", "q + 60"], ["q", 13, "73"]], "target_var_name": "g", "target_value": 73, "value_dict": {"q": 13}, "is_reverse": true}}
| 3,291
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = z + 7; k = d + 18; z = k + 13; q = 13; n = q + 16; a = l + 7; j = x + 13; g = j + 13; t = q + 11; l = n + 10; d = t + 18; x = a + 1; r = h + 7. If q = 13, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = x + 13 to g, which gives g = x + 26.\n2. Substitute x = a + 1 to g, which gives g = a + 27.\n3. Substitute a = l + 7 to g, which gives g = l + 34.\n4. Substitute l = n + 10 to g, which gives g = n + 44.\n5. Substitute n = q + 16 to g, which gives g = q + 60.\n6. Substitute q = 13 to g, which gives g = 73.\n\nThus, the final answer is g = \\boxed{73}.",
"index": 3291,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = z + 7; k = d + 18; z = k + 13; q = 13; n = q + 16; a = l + 7; j = x + 13; g = j + 13; t = q + 11; l = n + 10; d = t + 18; x = a + 1; r = h + 7. If q = 13, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"c": "x + 5", "h": "c + 12", "m": "h + 6", "d": "m + 5", "i": "d + 16", "l": "i + 20", "k": "x + 18", "s": "k + 14", "q": "s + 16", "p": "q + 6", "g": "p + 6", "t": "g + 16", "x": 2}, "premises": {"x": 2}, "target": "l"}, "answer": {"steps": [["i", "d + 16", "d + 36"], ["d", "m + 5", "m + 41"], ["m", "h + 6", "h + 47"], ["h", "c + 12", "c + 59"], ["c", "x + 5", "x + 64"], ["x", 2, "66"]], "target_var_name": "l", "target_value": 66, "value_dict": {"x": 2}, "is_reverse": true}}
| 3,292
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = k + 14; k = x + 18; q = s + 16; x = 2; t = g + 16; m = h + 6; c = x + 5; l = i + 20; i = d + 16; g = p + 6; h = c + 12; d = m + 5; p = q + 6. Given that x = 2, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = d + 16 to l, which gives l = d + 36.\n2. Substitute d = m + 5 to l, which gives l = m + 41.\n3. Substitute m = h + 6 to l, which gives l = h + 47.\n4. Substitute h = c + 12 to l, which gives l = c + 59.\n5. Substitute c = x + 5 to l, which gives l = x + 64.\n6. Substitute x = 2 to l, which gives l = 66.\n\nThus, the final answer is l = \\boxed{66}.",
"index": 3292,
"question": "Suppose a collection of variables is related by the following definitions: s = k + 14; k = x + 18; q = s + 16; x = 2; t = g + 16; m = h + 6; c = x + 5; l = i + 20; i = d + 16; g = p + 6; h = c + 12; d = m + 5; p = q + 6. Given that x = 2, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"u": "i + 20", "a": "u + 12", "f": "a + 6", "q": "f + 4", "r": "q + 1", "d": "r + 7", "e": "i + 18", "n": "e + 7", "y": "n + 8", "h": "y + 20", "o": "h + 10", "z": "o + 14", "i": 11}, "premises": {"i": 11}, "target": "d"}, "answer": {"steps": [["r", "q + 1", "q + 8"], ["q", "f + 4", "f + 12"], ["f", "a + 6", "a + 18"], ["a", "u + 12", "u + 30"], ["u", "i + 20", "i + 50"], ["i", 11, "61"]], "target_var_name": "d", "target_value": 61, "value_dict": {"i": 11}, "is_reverse": true}}
| 3,293
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = u + 12; f = a + 6; n = e + 7; q = f + 4; e = i + 18; h = y + 20; y = n + 8; d = r + 7; z = o + 14; i = 11; u = i + 20; o = h + 10; r = q + 1. Given that i = 11, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = q + 1 to d, which gives d = q + 8.\n2. Substitute q = f + 4 to d, which gives d = f + 12.\n3. Substitute f = a + 6 to d, which gives d = a + 18.\n4. Substitute a = u + 12 to d, which gives d = u + 30.\n5. Substitute u = i + 20 to d, which gives d = i + 50.\n6. Substitute i = 11 to d, which gives d = 61.\n\nThus, the final answer is d = \\boxed{61}.",
"index": 3293,
"question": "Suppose a collection of variables is related by the following definitions: a = u + 12; f = a + 6; n = e + 7; q = f + 4; e = i + 18; h = y + 20; y = n + 8; d = r + 7; z = o + 14; i = 11; u = i + 20; o = h + 10; r = q + 1. Given that i = 11, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"m": "a + 8", "p": "m + 3", "z": "p + 11", "s": "z + 12", "x": "s + 8", "w": "x + 3", "b": "a + 5", "f": "b + 7", "v": "f + 19", "l": "v + 13", "t": "l + 14", "g": "t + 19", "a": 8}, "premises": {"a": 8}, "target": "w"}, "answer": {"steps": [["x", "s + 8", "s + 11"], ["s", "z + 12", "z + 23"], ["z", "p + 11", "p + 34"], ["p", "m + 3", "m + 37"], ["m", "a + 8", "a + 45"], ["a", 8, "53"]], "target_var_name": "w", "target_value": 53, "value_dict": {"a": 8}, "is_reverse": true}}
| 3,294
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = m + 3; g = t + 19; t = l + 14; w = x + 3; v = f + 19; l = v + 13; b = a + 5; z = p + 11; f = b + 7; a = 8; m = a + 8; x = s + 8; s = z + 12. Given that a = 8, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = s + 8 to w, which gives w = s + 11.\n2. Substitute s = z + 12 to w, which gives w = z + 23.\n3. Substitute z = p + 11 to w, which gives w = p + 34.\n4. Substitute p = m + 3 to w, which gives w = m + 37.\n5. Substitute m = a + 8 to w, which gives w = a + 45.\n6. Substitute a = 8 to w, which gives w = 53.\n\nThus, the final answer is w = \\boxed{53}.",
"index": 3294,
"question": "Suppose a collection of variables is related by the following definitions: p = m + 3; g = t + 19; t = l + 14; w = x + 3; v = f + 19; l = v + 13; b = a + 5; z = p + 11; f = b + 7; a = 8; m = a + 8; x = s + 8; s = z + 12. Given that a = 8, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"g": "t + 5", "i": "g + 10", "d": "i + 19", "f": "d + 8", "k": "f + 5", "j": "k + 6", "p": "t + 14", "c": "p + 5", "b": "c + 5", "v": "b + 1", "l": "v + 17", "e": "l + 9", "t": 15}, "premises": {"t": 15}, "target": "j"}, "answer": {"steps": [["k", "f + 5", "f + 11"], ["f", "d + 8", "d + 19"], ["d", "i + 19", "i + 38"], ["i", "g + 10", "g + 48"], ["g", "t + 5", "t + 53"], ["t", 15, "68"]], "target_var_name": "j", "target_value": 68, "value_dict": {"t": 15}, "is_reverse": true}}
| 3,295
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = t + 14; v = b + 1; d = i + 19; c = p + 5; f = d + 8; j = k + 6; l = v + 17; t = 15; e = l + 9; g = t + 5; k = f + 5; b = c + 5; i = g + 10. If t = 15, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = f + 5 to j, which gives j = f + 11.\n2. Substitute f = d + 8 to j, which gives j = d + 19.\n3. Substitute d = i + 19 to j, which gives j = i + 38.\n4. Substitute i = g + 10 to j, which gives j = g + 48.\n5. Substitute g = t + 5 to j, which gives j = t + 53.\n6. Substitute t = 15 to j, which gives j = 68.\n\nThus, the final answer is j = \\boxed{68}.",
"index": 3295,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = t + 14; v = b + 1; d = i + 19; c = p + 5; f = d + 8; j = k + 6; l = v + 17; t = 15; e = l + 9; g = t + 5; k = f + 5; b = c + 5; i = g + 10. If t = 15, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"u": "j + 19", "s": "u + 10", "k": "s + 14", "a": "k + 13", "t": "a + 13", "c": "t + 19", "z": "j + 2", "h": "z + 10", "p": "h + 3", "n": "p + 10", "l": "n + 12", "f": "l + 16", "j": 3}, "premises": {"j": 3}, "target": "c"}, "answer": {"steps": [["t", "a + 13", "a + 32"], ["a", "k + 13", "k + 45"], ["k", "s + 14", "s + 59"], ["s", "u + 10", "u + 69"], ["u", "j + 19", "j + 88"], ["j", 3, "91"]], "target_var_name": "c", "target_value": 91, "value_dict": {"j": 3}, "is_reverse": true}}
| 3,296
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = p + 10; h = z + 10; l = n + 12; c = t + 19; z = j + 2; u = j + 19; a = k + 13; f = l + 16; p = h + 3; t = a + 13; s = u + 10; j = 3; k = s + 14. If j = 3, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = a + 13 to c, which gives c = a + 32.\n2. Substitute a = k + 13 to c, which gives c = k + 45.\n3. Substitute k = s + 14 to c, which gives c = s + 59.\n4. Substitute s = u + 10 to c, which gives c = u + 69.\n5. Substitute u = j + 19 to c, which gives c = j + 88.\n6. Substitute j = 3 to c, which gives c = 91.\n\nThus, the final answer is c = \\boxed{91}.",
"index": 3296,
"question": "Consider a system of variables where each variable is defined as follows: n = p + 10; h = z + 10; l = n + 12; c = t + 19; z = j + 2; u = j + 19; a = k + 13; f = l + 16; p = h + 3; t = a + 13; s = u + 10; j = 3; k = s + 14. If j = 3, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"i": "g + 14", "z": "i + 2", "u": "z + 9", "d": "u + 6", "l": "d + 14", "j": "l + 12", "q": "g + 18", "k": "q + 16", "r": "k + 12", "t": "r + 13", "y": "t + 15", "n": "y + 1", "g": 17}, "premises": {"g": 17}, "target": "j"}, "answer": {"steps": [["l", "d + 14", "d + 26"], ["d", "u + 6", "u + 32"], ["u", "z + 9", "z + 41"], ["z", "i + 2", "i + 43"], ["i", "g + 14", "g + 57"], ["g", 17, "74"]], "target_var_name": "j", "target_value": 74, "value_dict": {"g": 17}, "is_reverse": true}}
| 3,297
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = d + 14; k = q + 16; u = z + 9; g = 17; i = g + 14; j = l + 12; r = k + 12; n = y + 1; q = g + 18; z = i + 2; y = t + 15; d = u + 6; t = r + 13. If g = 17, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = d + 14 to j, which gives j = d + 26.\n2. Substitute d = u + 6 to j, which gives j = u + 32.\n3. Substitute u = z + 9 to j, which gives j = z + 41.\n4. Substitute z = i + 2 to j, which gives j = i + 43.\n5. Substitute i = g + 14 to j, which gives j = g + 57.\n6. Substitute g = 17 to j, which gives j = 74.\n\nThus, the final answer is j = \\boxed{74}.",
"index": 3297,
"question": "Consider a system of variables where each variable is defined as follows: l = d + 14; k = q + 16; u = z + 9; g = 17; i = g + 14; j = l + 12; r = k + 12; n = y + 1; q = g + 18; z = i + 2; y = t + 15; d = u + 6; t = r + 13. If g = 17, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"n": "r + 1", "v": "n + 17", "t": "v + 19", "f": "t + 10", "g": "f + 16", "w": "g + 10", "j": "r + 3", "h": "j + 18", "l": "h + 13", "m": "l + 6", "x": "m + 11", "e": "x + 6", "r": 19}, "premises": {"r": 19}, "target": "w"}, "answer": {"steps": [["g", "f + 16", "f + 26"], ["f", "t + 10", "t + 36"], ["t", "v + 19", "v + 55"], ["v", "n + 17", "n + 72"], ["n", "r + 1", "r + 73"], ["r", 19, "92"]], "target_var_name": "w", "target_value": 92, "value_dict": {"r": 19}, "is_reverse": true}}
| 3,298
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = f + 16; r = 19; j = r + 3; t = v + 19; v = n + 17; f = t + 10; x = m + 11; e = x + 6; m = l + 6; n = r + 1; l = h + 13; w = g + 10; h = j + 18. If r = 19, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = f + 16 to w, which gives w = f + 26.\n2. Substitute f = t + 10 to w, which gives w = t + 36.\n3. Substitute t = v + 19 to w, which gives w = v + 55.\n4. Substitute v = n + 17 to w, which gives w = n + 72.\n5. Substitute n = r + 1 to w, which gives w = r + 73.\n6. Substitute r = 19 to w, which gives w = 92.\n\nThus, the final answer is w = \\boxed{92}.",
"index": 3298,
"question": "Consider a system of variables where each variable is defined as follows: g = f + 16; r = 19; j = r + 3; t = v + 19; v = n + 17; f = t + 10; x = m + 11; e = x + 6; m = l + 6; n = r + 1; l = h + 13; w = g + 10; h = j + 18. If r = 19, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"l": "z + 2", "p": "l + 19", "j": "p + 4", "o": "j + 9", "t": "o + 12", "k": "t + 8", "r": "z + 17", "x": "r + 16", "y": "x + 16", "g": "y + 12", "q": "g + 9", "a": "q + 20", "z": 16}, "premises": {"z": 16}, "target": "k"}, "answer": {"steps": [["t", "o + 12", "o + 20"], ["o", "j + 9", "j + 29"], ["j", "p + 4", "p + 33"], ["p", "l + 19", "l + 52"], ["l", "z + 2", "z + 54"], ["z", 16, "70"]], "target_var_name": "k", "target_value": 70, "value_dict": {"z": 16}, "is_reverse": true}}
| 3,299
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = x + 16; z = 16; p = l + 19; l = z + 2; k = t + 8; j = p + 4; o = j + 9; x = r + 16; g = y + 12; t = o + 12; q = g + 9; a = q + 20; r = z + 17. If z = 16, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = o + 12 to k, which gives k = o + 20.\n2. Substitute o = j + 9 to k, which gives k = j + 29.\n3. Substitute j = p + 4 to k, which gives k = p + 33.\n4. Substitute p = l + 19 to k, which gives k = l + 52.\n5. Substitute l = z + 2 to k, which gives k = z + 54.\n6. Substitute z = 16 to k, which gives k = 70.\n\nThus, the final answer is k = \\boxed{70}.",
"index": 3299,
"question": "Consider a system of variables where each variable is defined as follows: y = x + 16; z = 16; p = l + 19; l = z + 2; k = t + 8; j = p + 4; o = j + 9; x = r + 16; g = y + 12; t = o + 12; q = g + 9; a = q + 20; r = z + 17. If z = 16, determine the value of k.",
"split": "train"
}
|
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