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25.6k
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stringclasses 1
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listlengths 1
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dict | extra_info
dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"k": "v + 6", "l": "k + 9", "i": "l + 4", "j": "i + 6", "x": "j + 4", "b": "x + 12", "h": "v + 19", "n": "h + 11", "y": "n + 14", "a": "y + 13", "s": "a + 19", "d": "s + 7", "v": 1}, "premises": {"v": 1}, "target": "b"}, "answer": {"steps": [["x", "j + 4", "j + 16"], ["j", "i + 6", "i + 22"], ["i", "l + 4", "l + 26"], ["l", "k + 9", "k + 35"], ["k", "v + 6", "v + 41"], ["v", 1, "42"]], "target_var_name": "b", "target_value": 42, "value_dict": {"v": 1}, "is_reverse": true}}
| 25,200
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = i + 6; x = j + 4; s = a + 19; a = y + 13; d = s + 7; k = v + 6; l = k + 9; h = v + 19; v = 1; n = h + 11; b = x + 12; i = l + 4; y = n + 14. Given that v = 1, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 42,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = j + 4 to b, which gives b = j + 16.\n2. Substitute j = i + 6 to b, which gives b = i + 22.\n3. Substitute i = l + 4 to b, which gives b = l + 26.\n4. Substitute l = k + 9 to b, which gives b = k + 35.\n5. Substitute k = v + 6 to b, which gives b = v + 41.\n6. Substitute v = 1 to b, which gives b = 42.\n\nThus, the final answer is b = \\boxed{42}.",
"index": 25200,
"question": "Suppose a collection of variables is related by the following definitions: j = i + 6; x = j + 4; s = a + 19; a = y + 13; d = s + 7; k = v + 6; l = k + 9; h = v + 19; v = 1; n = h + 11; b = x + 12; i = l + 4; y = n + 14. Given that v = 1, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"t": "w + 11", "h": "t + 14", "o": "h + 14", "q": "o + 10", "j": "q + 17", "u": "j + 18", "e": "w + 17", "z": "e + 12", "g": "z + 8", "p": "g + 6", "x": "p + 10", "s": "x + 12", "w": 4}, "premises": {"w": 4}, "target": "u"}, "answer": {"steps": [["j", "q + 17", "q + 35"], ["q", "o + 10", "o + 45"], ["o", "h + 14", "h + 59"], ["h", "t + 14", "t + 73"], ["t", "w + 11", "w + 84"], ["w", 4, "88"]], "target_var_name": "u", "target_value": 88, "value_dict": {"w": 4}, "is_reverse": true}}
| 25,201
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = j + 18; s = x + 12; h = t + 14; w = 4; j = q + 17; x = p + 10; q = o + 10; z = e + 12; e = w + 17; o = h + 14; t = w + 11; p = g + 6; g = z + 8. If w = 4, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = q + 17 to u, which gives u = q + 35.\n2. Substitute q = o + 10 to u, which gives u = o + 45.\n3. Substitute o = h + 14 to u, which gives u = h + 59.\n4. Substitute h = t + 14 to u, which gives u = t + 73.\n5. Substitute t = w + 11 to u, which gives u = w + 84.\n6. Substitute w = 4 to u, which gives u = 88.\n\nThus, the final answer is u = \\boxed{88}.",
"index": 25201,
"question": "Consider a system of variables where each variable is defined as follows: u = j + 18; s = x + 12; h = t + 14; w = 4; j = q + 17; x = p + 10; q = o + 10; z = e + 12; e = w + 17; o = h + 14; t = w + 11; p = g + 6; g = z + 8. If w = 4, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"o": "d + 10", "f": "o + 6", "p": "f + 4", "u": "p + 17", "v": "u + 3", "g": "v + 7", "k": "d + 19", "r": "k + 20", "s": "r + 17", "e": "s + 4", "b": "e + 3", "l": "b + 5", "d": 12}, "premises": {"d": 12}, "target": "g"}, "answer": {"steps": [["v", "u + 3", "u + 10"], ["u", "p + 17", "p + 27"], ["p", "f + 4", "f + 31"], ["f", "o + 6", "o + 37"], ["o", "d + 10", "d + 47"], ["d", 12, "59"]], "target_var_name": "g", "target_value": 59, "value_dict": {"d": 12}, "is_reverse": true}}
| 25,202
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = s + 4; s = r + 17; v = u + 3; r = k + 20; f = o + 6; p = f + 4; o = d + 10; b = e + 3; u = p + 17; k = d + 19; l = b + 5; d = 12; g = v + 7. Given that d = 12, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = u + 3 to g, which gives g = u + 10.\n2. Substitute u = p + 17 to g, which gives g = p + 27.\n3. Substitute p = f + 4 to g, which gives g = f + 31.\n4. Substitute f = o + 6 to g, which gives g = o + 37.\n5. Substitute o = d + 10 to g, which gives g = d + 47.\n6. Substitute d = 12 to g, which gives g = 59.\n\nThus, the final answer is g = \\boxed{59}.",
"index": 25202,
"question": "Suppose a collection of variables is related by the following definitions: e = s + 4; s = r + 17; v = u + 3; r = k + 20; f = o + 6; p = f + 4; o = d + 10; b = e + 3; u = p + 17; k = d + 19; l = b + 5; d = 12; g = v + 7. Given that d = 12, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"t": "p + 4", "y": "t + 14", "r": "y + 11", "q": "r + 18", "l": "q + 2", "j": "l + 20", "u": "p + 17", "v": "u + 17", "w": "v + 15", "c": "w + 17", "k": "c + 12", "x": "k + 19", "p": 1}, "premises": {"p": 1}, "target": "j"}, "answer": {"steps": [["l", "q + 2", "q + 22"], ["q", "r + 18", "r + 40"], ["r", "y + 11", "y + 51"], ["y", "t + 14", "t + 65"], ["t", "p + 4", "p + 69"], ["p", 1, "70"]], "target_var_name": "j", "target_value": 70, "value_dict": {"p": 1}, "is_reverse": true}}
| 25,203
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = k + 19; k = c + 12; r = y + 11; y = t + 14; p = 1; w = v + 15; c = w + 17; l = q + 2; v = u + 17; u = p + 17; j = l + 20; t = p + 4; q = r + 18. Given that p = 1, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = q + 2 to j, which gives j = q + 22.\n2. Substitute q = r + 18 to j, which gives j = r + 40.\n3. Substitute r = y + 11 to j, which gives j = y + 51.\n4. Substitute y = t + 14 to j, which gives j = t + 65.\n5. Substitute t = p + 4 to j, which gives j = p + 69.\n6. Substitute p = 1 to j, which gives j = 70.\n\nThus, the final answer is j = \\boxed{70}.",
"index": 25203,
"question": "Suppose a collection of variables is related by the following definitions: x = k + 19; k = c + 12; r = y + 11; y = t + 14; p = 1; w = v + 15; c = w + 17; l = q + 2; v = u + 17; u = p + 17; j = l + 20; t = p + 4; q = r + 18. Given that p = 1, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"q": "j + 19", "h": "q + 16", "m": "h + 8", "v": "m + 13", "u": "v + 20", "o": "u + 9", "k": "j + 20", "b": "k + 10", "g": "b + 19", "c": "g + 14", "i": "c + 16", "z": "i + 17", "j": 8}, "premises": {"j": 8}, "target": "o"}, "answer": {"steps": [["u", "v + 20", "v + 29"], ["v", "m + 13", "m + 42"], ["m", "h + 8", "h + 50"], ["h", "q + 16", "q + 66"], ["q", "j + 19", "j + 85"], ["j", 8, "93"]], "target_var_name": "o", "target_value": 93, "value_dict": {"j": 8}, "is_reverse": true}}
| 25,204
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = j + 19; b = k + 10; u = v + 20; c = g + 14; g = b + 19; j = 8; v = m + 13; m = h + 8; z = i + 17; h = q + 16; i = c + 16; o = u + 9; k = j + 20. If j = 8, determine 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 u = v + 20 to o, which gives o = v + 29.\n2. Substitute v = m + 13 to o, which gives o = m + 42.\n3. Substitute m = h + 8 to o, which gives o = h + 50.\n4. Substitute h = q + 16 to o, which gives o = q + 66.\n5. Substitute q = j + 19 to o, which gives o = j + 85.\n6. Substitute j = 8 to o, which gives o = 93.\n\nThus, the final answer is o = \\boxed{93}.",
"index": 25204,
"question": "Consider a system of variables where each variable is defined as follows: q = j + 19; b = k + 10; u = v + 20; c = g + 14; g = b + 19; j = 8; v = m + 13; m = h + 8; z = i + 17; h = q + 16; i = c + 16; o = u + 9; k = j + 20. If j = 8, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"i": "x + 6", "n": "i + 1", "o": "n + 6", "r": "o + 6", "d": "r + 1", "a": "d + 7", "g": "x + 14", "c": "g + 9", "y": "c + 4", "q": "y + 20", "p": "q + 6", "v": "p + 1", "x": 2}, "premises": {"x": 2}, "target": "a"}, "answer": {"steps": [["d", "r + 1", "r + 8"], ["r", "o + 6", "o + 14"], ["o", "n + 6", "n + 20"], ["n", "i + 1", "i + 21"], ["i", "x + 6", "x + 27"], ["x", 2, "29"]], "target_var_name": "a", "target_value": 29, "value_dict": {"x": 2}, "is_reverse": true}}
| 25,205
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = n + 6; p = q + 6; v = p + 1; d = r + 1; i = x + 6; a = d + 7; q = y + 20; x = 2; c = g + 9; r = o + 6; n = i + 1; y = c + 4; g = x + 14. If x = 2, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 29,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = r + 1 to a, which gives a = r + 8.\n2. Substitute r = o + 6 to a, which gives a = o + 14.\n3. Substitute o = n + 6 to a, which gives a = n + 20.\n4. Substitute n = i + 1 to a, which gives a = i + 21.\n5. Substitute i = x + 6 to a, which gives a = x + 27.\n6. Substitute x = 2 to a, which gives a = 29.\n\nThus, the final answer is a = \\boxed{29}.",
"index": 25205,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = n + 6; p = q + 6; v = p + 1; d = r + 1; i = x + 6; a = d + 7; q = y + 20; x = 2; c = g + 9; r = o + 6; n = i + 1; y = c + 4; g = x + 14. If x = 2, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"w": "m + 20", "u": "w + 20", "o": "u + 16", "x": "o + 3", "q": "x + 6", "r": "q + 3", "l": "m + 3", "i": "l + 18", "y": "i + 5", "g": "y + 7", "n": "g + 20", "k": "n + 9", "m": 8}, "premises": {"m": 8}, "target": "r"}, "answer": {"steps": [["q", "x + 6", "x + 9"], ["x", "o + 3", "o + 12"], ["o", "u + 16", "u + 28"], ["u", "w + 20", "w + 48"], ["w", "m + 20", "m + 68"], ["m", 8, "76"]], "target_var_name": "r", "target_value": 76, "value_dict": {"m": 8}, "is_reverse": true}}
| 25,206
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = n + 9; m = 8; q = x + 6; w = m + 20; o = u + 16; r = q + 3; l = m + 3; u = w + 20; y = i + 5; n = g + 20; g = y + 7; x = o + 3; i = l + 18. If m = 8, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = x + 6 to r, which gives r = x + 9.\n2. Substitute x = o + 3 to r, which gives r = o + 12.\n3. Substitute o = u + 16 to r, which gives r = u + 28.\n4. Substitute u = w + 20 to r, which gives r = w + 48.\n5. Substitute w = m + 20 to r, which gives r = m + 68.\n6. Substitute m = 8 to r, which gives r = 76.\n\nThus, the final answer is r = \\boxed{76}.",
"index": 25206,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = n + 9; m = 8; q = x + 6; w = m + 20; o = u + 16; r = q + 3; l = m + 3; u = w + 20; y = i + 5; n = g + 20; g = y + 7; x = o + 3; i = l + 18. If m = 8, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"z": "c + 5", "l": "z + 3", "u": "l + 3", "k": "u + 15", "d": "k + 15", "o": "d + 12", "r": "c + 12", "a": "r + 11", "i": "a + 12", "f": "i + 7", "p": "f + 12", "s": "p + 6", "c": 14}, "premises": {"c": 14}, "target": "o"}, "answer": {"steps": [["d", "k + 15", "k + 27"], ["k", "u + 15", "u + 42"], ["u", "l + 3", "l + 45"], ["l", "z + 3", "z + 48"], ["z", "c + 5", "c + 53"], ["c", 14, "67"]], "target_var_name": "o", "target_value": 67, "value_dict": {"c": 14}, "is_reverse": true}}
| 25,207
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = u + 15; o = d + 12; u = l + 3; d = k + 15; l = z + 3; i = a + 12; a = r + 11; p = f + 12; f = i + 7; s = p + 6; c = 14; z = c + 5; r = c + 12. Given that c = 14, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = k + 15 to o, which gives o = k + 27.\n2. Substitute k = u + 15 to o, which gives o = u + 42.\n3. Substitute u = l + 3 to o, which gives o = l + 45.\n4. Substitute l = z + 3 to o, which gives o = z + 48.\n5. Substitute z = c + 5 to o, which gives o = c + 53.\n6. Substitute c = 14 to o, which gives o = 67.\n\nThus, the final answer is o = \\boxed{67}.",
"index": 25207,
"question": "Suppose a collection of variables is related by the following definitions: k = u + 15; o = d + 12; u = l + 3; d = k + 15; l = z + 3; i = a + 12; a = r + 11; p = f + 12; f = i + 7; s = p + 6; c = 14; z = c + 5; r = c + 12. Given that c = 14, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"i": "s + 13", "b": "i + 5", "c": "b + 5", "o": "c + 9", "t": "o + 15", "n": "t + 5", "a": "s + 17", "z": "a + 5", "r": "z + 12", "f": "r + 18", "x": "f + 12", "q": "x + 18", "s": 2}, "premises": {"s": 2}, "target": "n"}, "answer": {"steps": [["t", "o + 15", "o + 20"], ["o", "c + 9", "c + 29"], ["c", "b + 5", "b + 34"], ["b", "i + 5", "i + 39"], ["i", "s + 13", "s + 52"], ["s", 2, "54"]], "target_var_name": "n", "target_value": 54, "value_dict": {"s": 2}, "is_reverse": true}}
| 25,208
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = z + 12; i = s + 13; a = s + 17; s = 2; z = a + 5; q = x + 18; f = r + 18; b = i + 5; n = t + 5; o = c + 9; x = f + 12; t = o + 15; c = b + 5. If s = 2, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = o + 15 to n, which gives n = o + 20.\n2. Substitute o = c + 9 to n, which gives n = c + 29.\n3. Substitute c = b + 5 to n, which gives n = b + 34.\n4. Substitute b = i + 5 to n, which gives n = i + 39.\n5. Substitute i = s + 13 to n, which gives n = s + 52.\n6. Substitute s = 2 to n, which gives n = 54.\n\nThus, the final answer is n = \\boxed{54}.",
"index": 25208,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = z + 12; i = s + 13; a = s + 17; s = 2; z = a + 5; q = x + 18; f = r + 18; b = i + 5; n = t + 5; o = c + 9; x = f + 12; t = o + 15; c = b + 5. If s = 2, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"m": "h + 2", "q": "m + 15", "b": "q + 4", "z": "b + 15", "y": "z + 7", "o": "y + 16", "t": "h + 6", "e": "t + 16", "s": "e + 3", "f": "s + 20", "a": "f + 11", "g": "a + 10", "h": 1}, "premises": {"h": 1}, "target": "o"}, "answer": {"steps": [["y", "z + 7", "z + 23"], ["z", "b + 15", "b + 38"], ["b", "q + 4", "q + 42"], ["q", "m + 15", "m + 57"], ["m", "h + 2", "h + 59"], ["h", 1, "60"]], "target_var_name": "o", "target_value": 60, "value_dict": {"h": 1}, "is_reverse": true}}
| 25,209
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = h + 6; o = y + 16; s = e + 3; z = b + 15; b = q + 4; e = t + 16; m = h + 2; f = s + 20; g = a + 10; h = 1; q = m + 15; a = f + 11; y = z + 7. Given that h = 1, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = z + 7 to o, which gives o = z + 23.\n2. Substitute z = b + 15 to o, which gives o = b + 38.\n3. Substitute b = q + 4 to o, which gives o = q + 42.\n4. Substitute q = m + 15 to o, which gives o = m + 57.\n5. Substitute m = h + 2 to o, which gives o = h + 59.\n6. Substitute h = 1 to o, which gives o = 60.\n\nThus, the final answer is o = \\boxed{60}.",
"index": 25209,
"question": "Suppose a collection of variables is related by the following definitions: t = h + 6; o = y + 16; s = e + 3; z = b + 15; b = q + 4; e = t + 16; m = h + 2; f = s + 20; g = a + 10; h = 1; q = m + 15; a = f + 11; y = z + 7. Given that h = 1, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"m": "e + 17", "b": "m + 19", "q": "b + 7", "z": "q + 4", "r": "z + 5", "s": "r + 12", "l": "e + 2", "d": "l + 17", "w": "d + 9", "y": "w + 14", "t": "y + 19", "o": "t + 9", "e": 13}, "premises": {"e": 13}, "target": "s"}, "answer": {"steps": [["r", "z + 5", "z + 17"], ["z", "q + 4", "q + 21"], ["q", "b + 7", "b + 28"], ["b", "m + 19", "m + 47"], ["m", "e + 17", "e + 64"], ["e", 13, "77"]], "target_var_name": "s", "target_value": 77, "value_dict": {"e": 13}, "is_reverse": true}}
| 25,210
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = d + 9; o = t + 9; b = m + 19; r = z + 5; l = e + 2; m = e + 17; e = 13; t = y + 19; s = r + 12; z = q + 4; y = w + 14; q = b + 7; d = l + 17. If e = 13, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = z + 5 to s, which gives s = z + 17.\n2. Substitute z = q + 4 to s, which gives s = q + 21.\n3. Substitute q = b + 7 to s, which gives s = b + 28.\n4. Substitute b = m + 19 to s, which gives s = m + 47.\n5. Substitute m = e + 17 to s, which gives s = e + 64.\n6. Substitute e = 13 to s, which gives s = 77.\n\nThus, the final answer is s = \\boxed{77}.",
"index": 25210,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = d + 9; o = t + 9; b = m + 19; r = z + 5; l = e + 2; m = e + 17; e = 13; t = y + 19; s = r + 12; z = q + 4; y = w + 14; q = b + 7; d = l + 17. If e = 13, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"i": "y + 10", "v": "i + 8", "o": "v + 2", "w": "o + 4", "q": "w + 9", "h": "q + 17", "u": "y + 4", "k": "u + 15", "l": "k + 15", "b": "l + 18", "e": "b + 13", "z": "e + 5", "y": 3}, "premises": {"y": 3}, "target": "h"}, "answer": {"steps": [["q", "w + 9", "w + 26"], ["w", "o + 4", "o + 30"], ["o", "v + 2", "v + 32"], ["v", "i + 8", "i + 40"], ["i", "y + 10", "y + 50"], ["y", 3, "53"]], "target_var_name": "h", "target_value": 53, "value_dict": {"y": 3}, "is_reverse": true}}
| 25,211
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = i + 8; i = y + 10; w = o + 4; e = b + 13; o = v + 2; h = q + 17; k = u + 15; z = e + 5; y = 3; b = l + 18; u = y + 4; l = k + 15; q = w + 9. Given that y = 3, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = w + 9 to h, which gives h = w + 26.\n2. Substitute w = o + 4 to h, which gives h = o + 30.\n3. Substitute o = v + 2 to h, which gives h = v + 32.\n4. Substitute v = i + 8 to h, which gives h = i + 40.\n5. Substitute i = y + 10 to h, which gives h = y + 50.\n6. Substitute y = 3 to h, which gives h = 53.\n\nThus, the final answer is h = \\boxed{53}.",
"index": 25211,
"question": "Suppose a collection of variables is related by the following definitions: v = i + 8; i = y + 10; w = o + 4; e = b + 13; o = v + 2; h = q + 17; k = u + 15; z = e + 5; y = 3; b = l + 18; u = y + 4; l = k + 15; q = w + 9. Given that y = 3, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"v": "f + 16", "x": "v + 4", "i": "x + 20", "k": "i + 8", "w": "k + 3", "m": "w + 2", "a": "f + 15", "r": "a + 12", "q": "r + 6", "j": "q + 15", "z": "j + 16", "t": "z + 14", "f": 19}, "premises": {"f": 19}, "target": "m"}, "answer": {"steps": [["w", "k + 3", "k + 5"], ["k", "i + 8", "i + 13"], ["i", "x + 20", "x + 33"], ["x", "v + 4", "v + 37"], ["v", "f + 16", "f + 53"], ["f", 19, "72"]], "target_var_name": "m", "target_value": 72, "value_dict": {"f": 19}, "is_reverse": true}}
| 25,212
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = f + 15; z = j + 16; j = q + 15; x = v + 4; m = w + 2; k = i + 8; r = a + 12; f = 19; t = z + 14; v = f + 16; i = x + 20; q = r + 6; w = k + 3. If f = 19, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = k + 3 to m, which gives m = k + 5.\n2. Substitute k = i + 8 to m, which gives m = i + 13.\n3. Substitute i = x + 20 to m, which gives m = x + 33.\n4. Substitute x = v + 4 to m, which gives m = v + 37.\n5. Substitute v = f + 16 to m, which gives m = f + 53.\n6. Substitute f = 19 to m, which gives m = 72.\n\nThus, the final answer is m = \\boxed{72}.",
"index": 25212,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = f + 15; z = j + 16; j = q + 15; x = v + 4; m = w + 2; k = i + 8; r = a + 12; f = 19; t = z + 14; v = f + 16; i = x + 20; q = r + 6; w = k + 3. If f = 19, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"g": "c + 12", "b": "g + 10", "n": "b + 19", "r": "n + 6", "a": "r + 16", "z": "a + 9", "x": "c + 18", "u": "x + 18", "v": "u + 18", "w": "v + 3", "p": "w + 3", "m": "p + 15", "c": 20}, "premises": {"c": 20}, "target": "z"}, "answer": {"steps": [["a", "r + 16", "r + 25"], ["r", "n + 6", "n + 31"], ["n", "b + 19", "b + 50"], ["b", "g + 10", "g + 60"], ["g", "c + 12", "c + 72"], ["c", 20, "92"]], "target_var_name": "z", "target_value": 92, "value_dict": {"c": 20}, "is_reverse": true}}
| 25,213
| 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 = w + 3; r = n + 6; m = p + 15; x = c + 18; n = b + 19; z = a + 9; a = r + 16; u = x + 18; g = c + 12; c = 20; v = u + 18; b = g + 10; w = v + 3. If c = 20, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = r + 16 to z, which gives z = r + 25.\n2. Substitute r = n + 6 to z, which gives z = n + 31.\n3. Substitute n = b + 19 to z, which gives z = b + 50.\n4. Substitute b = g + 10 to z, which gives z = g + 60.\n5. Substitute g = c + 12 to z, which gives z = c + 72.\n6. Substitute c = 20 to z, which gives z = 92.\n\nThus, the final answer is z = \\boxed{92}.",
"index": 25213,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = w + 3; r = n + 6; m = p + 15; x = c + 18; n = b + 19; z = a + 9; a = r + 16; u = x + 18; g = c + 12; c = 20; v = u + 18; b = g + 10; w = v + 3. If c = 20, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"a": "f + 3", "w": "a + 6", "t": "w + 8", "u": "t + 5", "v": "u + 9", "m": "v + 16", "h": "f + 17", "c": "h + 17", "o": "c + 8", "p": "o + 16", "k": "p + 20", "j": "k + 13", "f": 6}, "premises": {"f": 6}, "target": "m"}, "answer": {"steps": [["v", "u + 9", "u + 25"], ["u", "t + 5", "t + 30"], ["t", "w + 8", "w + 38"], ["w", "a + 6", "a + 44"], ["a", "f + 3", "f + 47"], ["f", 6, "53"]], "target_var_name": "m", "target_value": 53, "value_dict": {"f": 6}, "is_reverse": true}}
| 25,214
| 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 = p + 20; f = 6; w = a + 6; j = k + 13; m = v + 16; p = o + 16; v = u + 9; h = f + 17; c = h + 17; a = f + 3; t = w + 8; u = t + 5; o = c + 8. If f = 6, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = u + 9 to m, which gives m = u + 25.\n2. Substitute u = t + 5 to m, which gives m = t + 30.\n3. Substitute t = w + 8 to m, which gives m = w + 38.\n4. Substitute w = a + 6 to m, which gives m = a + 44.\n5. Substitute a = f + 3 to m, which gives m = f + 47.\n6. Substitute f = 6 to m, which gives m = 53.\n\nThus, the final answer is m = \\boxed{53}.",
"index": 25214,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = p + 20; f = 6; w = a + 6; j = k + 13; m = v + 16; p = o + 16; v = u + 9; h = f + 17; c = h + 17; a = f + 3; t = w + 8; u = t + 5; o = c + 8. If f = 6, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"h": "j + 2", "d": "h + 4", "t": "d + 5", "q": "t + 3", "x": "q + 8", "e": "x + 7", "w": "j + 6", "u": "w + 19", "m": "u + 16", "r": "m + 4", "s": "r + 12", "c": "s + 2", "j": 17}, "premises": {"j": 17}, "target": "e"}, "answer": {"steps": [["x", "q + 8", "q + 15"], ["q", "t + 3", "t + 18"], ["t", "d + 5", "d + 23"], ["d", "h + 4", "h + 27"], ["h", "j + 2", "j + 29"], ["j", 17, "46"]], "target_var_name": "e", "target_value": 46, "value_dict": {"j": 17}, "is_reverse": true}}
| 25,215
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = j + 6; s = r + 12; t = d + 5; h = j + 2; x = q + 8; d = h + 4; q = t + 3; j = 17; r = m + 4; e = x + 7; m = u + 16; u = w + 19; c = s + 2. If j = 17, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 46,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = q + 8 to e, which gives e = q + 15.\n2. Substitute q = t + 3 to e, which gives e = t + 18.\n3. Substitute t = d + 5 to e, which gives e = d + 23.\n4. Substitute d = h + 4 to e, which gives e = h + 27.\n5. Substitute h = j + 2 to e, which gives e = j + 29.\n6. Substitute j = 17 to e, which gives e = 46.\n\nThus, the final answer is e = \\boxed{46}.",
"index": 25215,
"question": "Consider a system of variables where each variable is defined as follows: w = j + 6; s = r + 12; t = d + 5; h = j + 2; x = q + 8; d = h + 4; q = t + 3; j = 17; r = m + 4; e = x + 7; m = u + 16; u = w + 19; c = s + 2. If j = 17, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"u": "d + 17", "f": "u + 9", "i": "f + 1", "m": "i + 11", "p": "m + 11", "o": "p + 13", "w": "d + 20", "y": "w + 12", "t": "y + 18", "z": "t + 13", "b": "z + 8", "v": "b + 7", "d": 18}, "premises": {"d": 18}, "target": "o"}, "answer": {"steps": [["p", "m + 11", "m + 24"], ["m", "i + 11", "i + 35"], ["i", "f + 1", "f + 36"], ["f", "u + 9", "u + 45"], ["u", "d + 17", "d + 62"], ["d", 18, "80"]], "target_var_name": "o", "target_value": 80, "value_dict": {"d": 18}, "is_reverse": true}}
| 25,216
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = u + 9; t = y + 18; i = f + 1; o = p + 13; d = 18; w = d + 20; m = i + 11; u = d + 17; p = m + 11; z = t + 13; y = w + 12; v = b + 7; b = z + 8. If d = 18, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = m + 11 to o, which gives o = m + 24.\n2. Substitute m = i + 11 to o, which gives o = i + 35.\n3. Substitute i = f + 1 to o, which gives o = f + 36.\n4. Substitute f = u + 9 to o, which gives o = u + 45.\n5. Substitute u = d + 17 to o, which gives o = d + 62.\n6. Substitute d = 18 to o, which gives o = 80.\n\nThus, the final answer is o = \\boxed{80}.",
"index": 25216,
"question": "Consider a system of variables where each variable is defined as follows: f = u + 9; t = y + 18; i = f + 1; o = p + 13; d = 18; w = d + 20; m = i + 11; u = d + 17; p = m + 11; z = t + 13; y = w + 12; v = b + 7; b = z + 8. If d = 18, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"o": "c + 3", "a": "o + 9", "w": "a + 17", "t": "w + 10", "m": "t + 11", "s": "m + 6", "z": "c + 4", "q": "z + 10", "h": "q + 16", "e": "h + 17", "l": "e + 15", "y": "l + 1", "c": 6}, "premises": {"c": 6}, "target": "s"}, "answer": {"steps": [["m", "t + 11", "t + 17"], ["t", "w + 10", "w + 27"], ["w", "a + 17", "a + 44"], ["a", "o + 9", "o + 53"], ["o", "c + 3", "c + 56"], ["c", 6, "62"]], "target_var_name": "s", "target_value": 62, "value_dict": {"c": 6}, "is_reverse": true}}
| 25,217
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = z + 10; h = q + 16; s = m + 6; o = c + 3; z = c + 4; e = h + 17; t = w + 10; y = l + 1; c = 6; a = o + 9; w = a + 17; l = e + 15; m = t + 11. If c = 6, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = t + 11 to s, which gives s = t + 17.\n2. Substitute t = w + 10 to s, which gives s = w + 27.\n3. Substitute w = a + 17 to s, which gives s = a + 44.\n4. Substitute a = o + 9 to s, which gives s = o + 53.\n5. Substitute o = c + 3 to s, which gives s = c + 56.\n6. Substitute c = 6 to s, which gives s = 62.\n\nThus, the final answer is s = \\boxed{62}.",
"index": 25217,
"question": "Consider a system of variables where each variable is defined as follows: q = z + 10; h = q + 16; s = m + 6; o = c + 3; z = c + 4; e = h + 17; t = w + 10; y = l + 1; c = 6; a = o + 9; w = a + 17; l = e + 15; m = t + 11. If c = 6, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"m": "w + 16", "e": "m + 11", "y": "e + 7", "z": "y + 10", "i": "z + 16", "p": "i + 17", "o": "w + 6", "c": "o + 16", "q": "c + 2", "f": "q + 3", "n": "f + 18", "d": "n + 5", "w": 11}, "premises": {"w": 11}, "target": "p"}, "answer": {"steps": [["i", "z + 16", "z + 33"], ["z", "y + 10", "y + 43"], ["y", "e + 7", "e + 50"], ["e", "m + 11", "m + 61"], ["m", "w + 16", "w + 77"], ["w", 11, "88"]], "target_var_name": "p", "target_value": 88, "value_dict": {"w": 11}, "is_reverse": true}}
| 25,218
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = 11; y = e + 7; o = w + 6; e = m + 11; d = n + 5; f = q + 3; p = i + 17; q = c + 2; c = o + 16; m = w + 16; n = f + 18; z = y + 10; i = z + 16. Given that w = 11, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = z + 16 to p, which gives p = z + 33.\n2. Substitute z = y + 10 to p, which gives p = y + 43.\n3. Substitute y = e + 7 to p, which gives p = e + 50.\n4. Substitute e = m + 11 to p, which gives p = m + 61.\n5. Substitute m = w + 16 to p, which gives p = w + 77.\n6. Substitute w = 11 to p, which gives p = 88.\n\nThus, the final answer is p = \\boxed{88}.",
"index": 25218,
"question": "Suppose a collection of variables is related by the following definitions: w = 11; y = e + 7; o = w + 6; e = m + 11; d = n + 5; f = q + 3; p = i + 17; q = c + 2; c = o + 16; m = w + 16; n = f + 18; z = y + 10; i = z + 16. Given that w = 11, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"a": "w + 2", "s": "a + 9", "g": "s + 17", "z": "g + 16", "k": "z + 4", "x": "k + 4", "p": "w + 3", "t": "p + 12", "n": "t + 12", "r": "n + 2", "i": "r + 16", "e": "i + 13", "w": 11}, "premises": {"w": 11}, "target": "x"}, "answer": {"steps": [["k", "z + 4", "z + 8"], ["z", "g + 16", "g + 24"], ["g", "s + 17", "s + 41"], ["s", "a + 9", "a + 50"], ["a", "w + 2", "w + 52"], ["w", 11, "63"]], "target_var_name": "x", "target_value": 63, "value_dict": {"w": 11}, "is_reverse": true}}
| 25,219
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = n + 2; s = a + 9; t = p + 12; z = g + 16; w = 11; a = w + 2; n = t + 12; e = i + 13; i = r + 16; g = s + 17; x = k + 4; p = w + 3; k = z + 4. If w = 11, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = z + 4 to x, which gives x = z + 8.\n2. Substitute z = g + 16 to x, which gives x = g + 24.\n3. Substitute g = s + 17 to x, which gives x = s + 41.\n4. Substitute s = a + 9 to x, which gives x = a + 50.\n5. Substitute a = w + 2 to x, which gives x = w + 52.\n6. Substitute w = 11 to x, which gives x = 63.\n\nThus, the final answer is x = \\boxed{63}.",
"index": 25219,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = n + 2; s = a + 9; t = p + 12; z = g + 16; w = 11; a = w + 2; n = t + 12; e = i + 13; i = r + 16; g = s + 17; x = k + 4; p = w + 3; k = z + 4. If w = 11, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"o": "y + 15", "b": "o + 1", "v": "b + 1", "k": "v + 2", "j": "k + 3", "l": "j + 17", "r": "y + 4", "z": "r + 16", "d": "z + 1", "x": "d + 16", "p": "x + 14", "q": "p + 20", "y": 8}, "premises": {"y": 8}, "target": "l"}, "answer": {"steps": [["j", "k + 3", "k + 20"], ["k", "v + 2", "v + 22"], ["v", "b + 1", "b + 23"], ["b", "o + 1", "o + 24"], ["o", "y + 15", "y + 39"], ["y", 8, "47"]], "target_var_name": "l", "target_value": 47, "value_dict": {"y": 8}, "is_reverse": true}}
| 25,220
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = r + 16; d = z + 1; b = o + 1; r = y + 4; y = 8; j = k + 3; l = j + 17; k = v + 2; o = y + 15; v = b + 1; q = p + 20; x = d + 16; p = x + 14. If y = 8, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 47,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = k + 3 to l, which gives l = k + 20.\n2. Substitute k = v + 2 to l, which gives l = v + 22.\n3. Substitute v = b + 1 to l, which gives l = b + 23.\n4. Substitute b = o + 1 to l, which gives l = o + 24.\n5. Substitute o = y + 15 to l, which gives l = y + 39.\n6. Substitute y = 8 to l, which gives l = 47.\n\nThus, the final answer is l = \\boxed{47}.",
"index": 25220,
"question": "Consider a system of variables where each variable is defined as follows: z = r + 16; d = z + 1; b = o + 1; r = y + 4; y = 8; j = k + 3; l = j + 17; k = v + 2; o = y + 15; v = b + 1; q = p + 20; x = d + 16; p = x + 14. If y = 8, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"x": "t + 7", "z": "x + 19", "l": "z + 19", "v": "l + 19", "f": "v + 8", "h": "f + 20", "s": "t + 1", "d": "s + 1", "a": "d + 19", "w": "a + 6", "r": "w + 16", "b": "r + 3", "t": 13}, "premises": {"t": 13}, "target": "h"}, "answer": {"steps": [["f", "v + 8", "v + 28"], ["v", "l + 19", "l + 47"], ["l", "z + 19", "z + 66"], ["z", "x + 19", "x + 85"], ["x", "t + 7", "t + 92"], ["t", 13, "105"]], "target_var_name": "h", "target_value": 105, "value_dict": {"t": 13}, "is_reverse": true}}
| 25,221
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = z + 19; t = 13; v = l + 19; z = x + 19; b = r + 3; w = a + 6; s = t + 1; d = s + 1; r = w + 16; a = d + 19; x = t + 7; f = v + 8; h = f + 20. If t = 13, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 105,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = v + 8 to h, which gives h = v + 28.\n2. Substitute v = l + 19 to h, which gives h = l + 47.\n3. Substitute l = z + 19 to h, which gives h = z + 66.\n4. Substitute z = x + 19 to h, which gives h = x + 85.\n5. Substitute x = t + 7 to h, which gives h = t + 92.\n6. Substitute t = 13 to h, which gives h = 105.\n\nThus, the final answer is h = \\boxed{105}.",
"index": 25221,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = z + 19; t = 13; v = l + 19; z = x + 19; b = r + 3; w = a + 6; s = t + 1; d = s + 1; r = w + 16; a = d + 19; x = t + 7; f = v + 8; h = f + 20. If t = 13, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"x": "t + 12", "i": "x + 15", "l": "i + 7", "v": "l + 6", "k": "v + 7", "y": "k + 3", "u": "t + 5", "e": "u + 5", "z": "e + 19", "m": "z + 14", "n": "m + 8", "f": "n + 2", "t": 7}, "premises": {"t": 7}, "target": "y"}, "answer": {"steps": [["k", "v + 7", "v + 10"], ["v", "l + 6", "l + 16"], ["l", "i + 7", "i + 23"], ["i", "x + 15", "x + 38"], ["x", "t + 12", "t + 50"], ["t", 7, "57"]], "target_var_name": "y", "target_value": 57, "value_dict": {"t": 7}, "is_reverse": true}}
| 25,222
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = n + 2; n = m + 8; u = t + 5; m = z + 14; v = l + 6; e = u + 5; x = t + 12; k = v + 7; y = k + 3; l = i + 7; t = 7; i = x + 15; z = e + 19. If t = 7, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = v + 7 to y, which gives y = v + 10.\n2. Substitute v = l + 6 to y, which gives y = l + 16.\n3. Substitute l = i + 7 to y, which gives y = i + 23.\n4. Substitute i = x + 15 to y, which gives y = x + 38.\n5. Substitute x = t + 12 to y, which gives y = t + 50.\n6. Substitute t = 7 to y, which gives y = 57.\n\nThus, the final answer is y = \\boxed{57}.",
"index": 25222,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = n + 2; n = m + 8; u = t + 5; m = z + 14; v = l + 6; e = u + 5; x = t + 12; k = v + 7; y = k + 3; l = i + 7; t = 7; i = x + 15; z = e + 19. If t = 7, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"u": "j + 16", "g": "u + 2", "r": "g + 18", "m": "r + 2", "n": "m + 20", "c": "n + 2", "e": "j + 1", "x": "e + 11", "y": "x + 3", "k": "y + 8", "q": "k + 20", "v": "q + 8", "j": 4}, "premises": {"j": 4}, "target": "c"}, "answer": {"steps": [["n", "m + 20", "m + 22"], ["m", "r + 2", "r + 24"], ["r", "g + 18", "g + 42"], ["g", "u + 2", "u + 44"], ["u", "j + 16", "j + 60"], ["j", 4, "64"]], "target_var_name": "c", "target_value": 64, "value_dict": {"j": 4}, "is_reverse": true}}
| 25,223
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = u + 2; k = y + 8; u = j + 16; c = n + 2; y = x + 3; n = m + 20; m = r + 2; j = 4; q = k + 20; e = j + 1; x = e + 11; r = g + 18; v = q + 8. If j = 4, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = m + 20 to c, which gives c = m + 22.\n2. Substitute m = r + 2 to c, which gives c = r + 24.\n3. Substitute r = g + 18 to c, which gives c = g + 42.\n4. Substitute g = u + 2 to c, which gives c = u + 44.\n5. Substitute u = j + 16 to c, which gives c = j + 60.\n6. Substitute j = 4 to c, which gives c = 64.\n\nThus, the final answer is c = \\boxed{64}.",
"index": 25223,
"question": "Consider a system of variables where each variable is defined as follows: g = u + 2; k = y + 8; u = j + 16; c = n + 2; y = x + 3; n = m + 20; m = r + 2; j = 4; q = k + 20; e = j + 1; x = e + 11; r = g + 18; v = q + 8. If j = 4, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"p": "y + 2", "f": "p + 3", "h": "f + 15", "c": "h + 6", "q": "c + 18", "u": "q + 1", "d": "y + 12", "e": "d + 4", "n": "e + 14", "g": "n + 9", "l": "g + 4", "m": "l + 3", "y": 6}, "premises": {"y": 6}, "target": "u"}, "answer": {"steps": [["q", "c + 18", "c + 19"], ["c", "h + 6", "h + 25"], ["h", "f + 15", "f + 40"], ["f", "p + 3", "p + 43"], ["p", "y + 2", "y + 45"], ["y", 6, "51"]], "target_var_name": "u", "target_value": 51, "value_dict": {"y": 6}, "is_reverse": true}}
| 25,224
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = q + 1; f = p + 3; m = l + 3; g = n + 9; c = h + 6; y = 6; d = y + 12; l = g + 4; e = d + 4; h = f + 15; p = y + 2; q = c + 18; n = e + 14. If y = 6, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = c + 18 to u, which gives u = c + 19.\n2. Substitute c = h + 6 to u, which gives u = h + 25.\n3. Substitute h = f + 15 to u, which gives u = f + 40.\n4. Substitute f = p + 3 to u, which gives u = p + 43.\n5. Substitute p = y + 2 to u, which gives u = y + 45.\n6. Substitute y = 6 to u, which gives u = 51.\n\nThus, the final answer is u = \\boxed{51}.",
"index": 25224,
"question": "Consider a system of variables where each variable is defined as follows: u = q + 1; f = p + 3; m = l + 3; g = n + 9; c = h + 6; y = 6; d = y + 12; l = g + 4; e = d + 4; h = f + 15; p = y + 2; q = c + 18; n = e + 14. If y = 6, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"m": "y + 18", "u": "m + 3", "l": "u + 8", "z": "l + 6", "r": "z + 8", "p": "r + 20", "c": "y + 17", "w": "c + 7", "a": "w + 16", "e": "a + 7", "v": "e + 20", "x": "v + 16", "y": 7}, "premises": {"y": 7}, "target": "p"}, "answer": {"steps": [["r", "z + 8", "z + 28"], ["z", "l + 6", "l + 34"], ["l", "u + 8", "u + 42"], ["u", "m + 3", "m + 45"], ["m", "y + 18", "y + 63"], ["y", 7, "70"]], "target_var_name": "p", "target_value": 70, "value_dict": {"y": 7}, "is_reverse": true}}
| 25,225
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = e + 20; c = y + 17; l = u + 8; w = c + 7; p = r + 20; e = a + 7; m = y + 18; r = z + 8; x = v + 16; z = l + 6; u = m + 3; y = 7; a = w + 16. If y = 7, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = z + 8 to p, which gives p = z + 28.\n2. Substitute z = l + 6 to p, which gives p = l + 34.\n3. Substitute l = u + 8 to p, which gives p = u + 42.\n4. Substitute u = m + 3 to p, which gives p = m + 45.\n5. Substitute m = y + 18 to p, which gives p = y + 63.\n6. Substitute y = 7 to p, which gives p = 70.\n\nThus, the final answer is p = \\boxed{70}.",
"index": 25225,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = e + 20; c = y + 17; l = u + 8; w = c + 7; p = r + 20; e = a + 7; m = y + 18; r = z + 8; x = v + 16; z = l + 6; u = m + 3; y = 7; a = w + 16. If y = 7, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"u": "m + 13", "e": "u + 14", "z": "e + 13", "j": "z + 4", "v": "j + 13", "r": "v + 8", "l": "m + 17", "q": "l + 5", "s": "q + 20", "d": "s + 15", "p": "d + 20", "b": "p + 6", "m": 6}, "premises": {"m": 6}, "target": "r"}, "answer": {"steps": [["v", "j + 13", "j + 21"], ["j", "z + 4", "z + 25"], ["z", "e + 13", "e + 38"], ["e", "u + 14", "u + 52"], ["u", "m + 13", "m + 65"], ["m", 6, "71"]], "target_var_name": "r", "target_value": 71, "value_dict": {"m": 6}, "is_reverse": true}}
| 25,226
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = 6; e = u + 14; q = l + 5; d = s + 15; l = m + 17; r = v + 8; z = e + 13; j = z + 4; b = p + 6; u = m + 13; s = q + 20; p = d + 20; v = j + 13. If m = 6, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = j + 13 to r, which gives r = j + 21.\n2. Substitute j = z + 4 to r, which gives r = z + 25.\n3. Substitute z = e + 13 to r, which gives r = e + 38.\n4. Substitute e = u + 14 to r, which gives r = u + 52.\n5. Substitute u = m + 13 to r, which gives r = m + 65.\n6. Substitute m = 6 to r, which gives r = 71.\n\nThus, the final answer is r = \\boxed{71}.",
"index": 25226,
"question": "Consider a system of variables where each variable is defined as follows: m = 6; e = u + 14; q = l + 5; d = s + 15; l = m + 17; r = v + 8; z = e + 13; j = z + 4; b = p + 6; u = m + 13; s = q + 20; p = d + 20; v = j + 13. If m = 6, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"k": "v + 12", "l": "k + 13", "d": "l + 13", "c": "d + 19", "s": "c + 7", "o": "s + 8", "y": "v + 17", "n": "y + 16", "a": "n + 15", "h": "a + 13", "j": "h + 15", "z": "j + 3", "v": 4}, "premises": {"v": 4}, "target": "o"}, "answer": {"steps": [["s", "c + 7", "c + 15"], ["c", "d + 19", "d + 34"], ["d", "l + 13", "l + 47"], ["l", "k + 13", "k + 60"], ["k", "v + 12", "v + 72"], ["v", 4, "76"]], "target_var_name": "o", "target_value": 76, "value_dict": {"v": 4}, "is_reverse": true}}
| 25,227
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = n + 15; l = k + 13; v = 4; j = h + 15; s = c + 7; n = y + 16; d = l + 13; o = s + 8; z = j + 3; k = v + 12; y = v + 17; h = a + 13; c = d + 19. If v = 4, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = c + 7 to o, which gives o = c + 15.\n2. Substitute c = d + 19 to o, which gives o = d + 34.\n3. Substitute d = l + 13 to o, which gives o = l + 47.\n4. Substitute l = k + 13 to o, which gives o = k + 60.\n5. Substitute k = v + 12 to o, which gives o = v + 72.\n6. Substitute v = 4 to o, which gives o = 76.\n\nThus, the final answer is o = \\boxed{76}.",
"index": 25227,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = n + 15; l = k + 13; v = 4; j = h + 15; s = c + 7; n = y + 16; d = l + 13; o = s + 8; z = j + 3; k = v + 12; y = v + 17; h = a + 13; c = d + 19. If v = 4, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"b": "s + 2", "p": "b + 12", "d": "p + 2", "u": "d + 9", "w": "u + 19", "y": "w + 8", "x": "s + 1", "z": "x + 13", "m": "z + 20", "g": "m + 5", "a": "g + 19", "i": "a + 18", "s": 3}, "premises": {"s": 3}, "target": "y"}, "answer": {"steps": [["w", "u + 19", "u + 27"], ["u", "d + 9", "d + 36"], ["d", "p + 2", "p + 38"], ["p", "b + 12", "b + 50"], ["b", "s + 2", "s + 52"], ["s", 3, "55"]], "target_var_name": "y", "target_value": 55, "value_dict": {"s": 3}, "is_reverse": true}}
| 25,228
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = z + 20; d = p + 2; y = w + 8; z = x + 13; u = d + 9; i = a + 18; a = g + 19; g = m + 5; p = b + 12; b = s + 2; s = 3; w = u + 19; x = s + 1. If s = 3, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = u + 19 to y, which gives y = u + 27.\n2. Substitute u = d + 9 to y, which gives y = d + 36.\n3. Substitute d = p + 2 to y, which gives y = p + 38.\n4. Substitute p = b + 12 to y, which gives y = b + 50.\n5. Substitute b = s + 2 to y, which gives y = s + 52.\n6. Substitute s = 3 to y, which gives y = 55.\n\nThus, the final answer is y = \\boxed{55}.",
"index": 25228,
"question": "Consider a system of variables where each variable is defined as follows: m = z + 20; d = p + 2; y = w + 8; z = x + 13; u = d + 9; i = a + 18; a = g + 19; g = m + 5; p = b + 12; b = s + 2; s = 3; w = u + 19; x = s + 1. If s = 3, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"w": "i + 3", "c": "w + 11", "h": "c + 6", "o": "h + 5", "t": "o + 9", "e": "t + 17", "d": "i + 2", "u": "d + 7", "r": "u + 8", "s": "r + 17", "p": "s + 6", "q": "p + 7", "i": 10}, "premises": {"i": 10}, "target": "e"}, "answer": {"steps": [["t", "o + 9", "o + 26"], ["o", "h + 5", "h + 31"], ["h", "c + 6", "c + 37"], ["c", "w + 11", "w + 48"], ["w", "i + 3", "i + 51"], ["i", 10, "61"]], "target_var_name": "e", "target_value": 61, "value_dict": {"i": 10}, "is_reverse": true}}
| 25,229
| 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 = w + 11; w = i + 3; i = 10; o = h + 5; r = u + 8; p = s + 6; t = o + 9; d = i + 2; s = r + 17; h = c + 6; q = p + 7; e = t + 17; u = d + 7. If i = 10, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = o + 9 to e, which gives e = o + 26.\n2. Substitute o = h + 5 to e, which gives e = h + 31.\n3. Substitute h = c + 6 to e, which gives e = c + 37.\n4. Substitute c = w + 11 to e, which gives e = w + 48.\n5. Substitute w = i + 3 to e, which gives e = i + 51.\n6. Substitute i = 10 to e, which gives e = 61.\n\nThus, the final answer is e = \\boxed{61}.",
"index": 25229,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = w + 11; w = i + 3; i = 10; o = h + 5; r = u + 8; p = s + 6; t = o + 9; d = i + 2; s = r + 17; h = c + 6; q = p + 7; e = t + 17; u = d + 7. If i = 10, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"w": "q + 3", "p": "w + 1", "c": "p + 13", "s": "c + 10", "x": "s + 1", "z": "x + 9", "g": "q + 7", "e": "g + 13", "o": "e + 10", "d": "o + 6", "f": "d + 20", "n": "f + 3", "q": 11}, "premises": {"q": 11}, "target": "z"}, "answer": {"steps": [["x", "s + 1", "s + 10"], ["s", "c + 10", "c + 20"], ["c", "p + 13", "p + 33"], ["p", "w + 1", "w + 34"], ["w", "q + 3", "q + 37"], ["q", 11, "48"]], "target_var_name": "z", "target_value": 48, "value_dict": {"q": 11}, "is_reverse": true}}
| 25,230
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = p + 13; z = x + 9; d = o + 6; n = f + 3; f = d + 20; w = q + 3; e = g + 13; q = 11; s = c + 10; p = w + 1; g = q + 7; x = s + 1; o = e + 10. If q = 11, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 48,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = s + 1 to z, which gives z = s + 10.\n2. Substitute s = c + 10 to z, which gives z = c + 20.\n3. Substitute c = p + 13 to z, which gives z = p + 33.\n4. Substitute p = w + 1 to z, which gives z = w + 34.\n5. Substitute w = q + 3 to z, which gives z = q + 37.\n6. Substitute q = 11 to z, which gives z = 48.\n\nThus, the final answer is z = \\boxed{48}.",
"index": 25230,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = p + 13; z = x + 9; d = o + 6; n = f + 3; f = d + 20; w = q + 3; e = g + 13; q = 11; s = c + 10; p = w + 1; g = q + 7; x = s + 1; o = e + 10. If q = 11, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"k": "f + 3", "r": "k + 18", "u": "r + 8", "x": "u + 19", "y": "x + 18", "c": "y + 3", "w": "f + 8", "t": "w + 16", "d": "t + 9", "s": "d + 20", "z": "s + 10", "q": "z + 19", "f": 1}, "premises": {"f": 1}, "target": "c"}, "answer": {"steps": [["y", "x + 18", "x + 21"], ["x", "u + 19", "u + 40"], ["u", "r + 8", "r + 48"], ["r", "k + 18", "k + 66"], ["k", "f + 3", "f + 69"], ["f", 1, "70"]], "target_var_name": "c", "target_value": 70, "value_dict": {"f": 1}, "is_reverse": true}}
| 25,231
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = d + 20; x = u + 19; r = k + 18; u = r + 8; y = x + 18; z = s + 10; d = t + 9; k = f + 3; w = f + 8; c = y + 3; q = z + 19; t = w + 16; f = 1. If f = 1, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = x + 18 to c, which gives c = x + 21.\n2. Substitute x = u + 19 to c, which gives c = u + 40.\n3. Substitute u = r + 8 to c, which gives c = r + 48.\n4. Substitute r = k + 18 to c, which gives c = k + 66.\n5. Substitute k = f + 3 to c, which gives c = f + 69.\n6. Substitute f = 1 to c, which gives c = 70.\n\nThus, the final answer is c = \\boxed{70}.",
"index": 25231,
"question": "Consider a system of variables where each variable is defined as follows: s = d + 20; x = u + 19; r = k + 18; u = r + 8; y = x + 18; z = s + 10; d = t + 9; k = f + 3; w = f + 8; c = y + 3; q = z + 19; t = w + 16; f = 1. If f = 1, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"i": "x + 16", "e": "i + 20", "j": "e + 19", "y": "j + 2", "k": "y + 5", "s": "k + 4", "b": "x + 12", "w": "b + 14", "q": "w + 3", "z": "q + 7", "l": "z + 19", "f": "l + 17", "x": 2}, "premises": {"x": 2}, "target": "s"}, "answer": {"steps": [["k", "y + 5", "y + 9"], ["y", "j + 2", "j + 11"], ["j", "e + 19", "e + 30"], ["e", "i + 20", "i + 50"], ["i", "x + 16", "x + 66"], ["x", 2, "68"]], "target_var_name": "s", "target_value": 68, "value_dict": {"x": 2}, "is_reverse": true}}
| 25,232
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = j + 2; x = 2; l = z + 19; w = b + 14; b = x + 12; e = i + 20; f = l + 17; z = q + 7; k = y + 5; i = x + 16; j = e + 19; q = w + 3; s = k + 4. If x = 2, determine 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 k = y + 5 to s, which gives s = y + 9.\n2. Substitute y = j + 2 to s, which gives s = j + 11.\n3. Substitute j = e + 19 to s, which gives s = e + 30.\n4. Substitute e = i + 20 to s, which gives s = i + 50.\n5. Substitute i = x + 16 to s, which gives s = x + 66.\n6. Substitute x = 2 to s, which gives s = 68.\n\nThus, the final answer is s = \\boxed{68}.",
"index": 25232,
"question": "Consider a system of variables where each variable is defined as follows: y = j + 2; x = 2; l = z + 19; w = b + 14; b = x + 12; e = i + 20; f = l + 17; z = q + 7; k = y + 5; i = x + 16; j = e + 19; q = w + 3; s = k + 4. If x = 2, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"d": "v + 5", "q": "d + 19", "j": "q + 8", "f": "j + 11", "a": "f + 20", "e": "a + 18", "h": "v + 20", "i": "h + 12", "y": "i + 15", "c": "y + 15", "b": "c + 13", "l": "b + 19", "v": 5}, "premises": {"v": 5}, "target": "e"}, "answer": {"steps": [["a", "f + 20", "f + 38"], ["f", "j + 11", "j + 49"], ["j", "q + 8", "q + 57"], ["q", "d + 19", "d + 76"], ["d", "v + 5", "v + 81"], ["v", 5, "86"]], "target_var_name": "e", "target_value": 86, "value_dict": {"v": 5}, "is_reverse": true}}
| 25,233
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = c + 13; c = y + 15; j = q + 8; d = v + 5; a = f + 20; v = 5; y = i + 15; i = h + 12; f = j + 11; e = a + 18; h = v + 20; q = d + 19; l = b + 19. Given that v = 5, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = f + 20 to e, which gives e = f + 38.\n2. Substitute f = j + 11 to e, which gives e = j + 49.\n3. Substitute j = q + 8 to e, which gives e = q + 57.\n4. Substitute q = d + 19 to e, which gives e = d + 76.\n5. Substitute d = v + 5 to e, which gives e = v + 81.\n6. Substitute v = 5 to e, which gives e = 86.\n\nThus, the final answer is e = \\boxed{86}.",
"index": 25233,
"question": "Suppose a collection of variables is related by the following definitions: b = c + 13; c = y + 15; j = q + 8; d = v + 5; a = f + 20; v = 5; y = i + 15; i = h + 12; f = j + 11; e = a + 18; h = v + 20; q = d + 19; l = b + 19. Given that v = 5, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"q": "h + 4", "i": "q + 1", "j": "i + 3", "g": "j + 8", "f": "g + 5", "a": "f + 9", "l": "h + 12", "u": "l + 20", "w": "u + 19", "e": "w + 4", "o": "e + 13", "b": "o + 11", "h": 4}, "premises": {"h": 4}, "target": "a"}, "answer": {"steps": [["f", "g + 5", "g + 14"], ["g", "j + 8", "j + 22"], ["j", "i + 3", "i + 25"], ["i", "q + 1", "q + 26"], ["q", "h + 4", "h + 30"], ["h", 4, "34"]], "target_var_name": "a", "target_value": 34, "value_dict": {"h": 4}, "is_reverse": true}}
| 25,234
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = e + 13; h = 4; f = g + 5; a = f + 9; w = u + 19; u = l + 20; j = i + 3; l = h + 12; e = w + 4; q = h + 4; i = q + 1; g = j + 8; b = o + 11. If h = 4, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 34,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = g + 5 to a, which gives a = g + 14.\n2. Substitute g = j + 8 to a, which gives a = j + 22.\n3. Substitute j = i + 3 to a, which gives a = i + 25.\n4. Substitute i = q + 1 to a, which gives a = q + 26.\n5. Substitute q = h + 4 to a, which gives a = h + 30.\n6. Substitute h = 4 to a, which gives a = 34.\n\nThus, the final answer is a = \\boxed{34}.",
"index": 25234,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = e + 13; h = 4; f = g + 5; a = f + 9; w = u + 19; u = l + 20; j = i + 3; l = h + 12; e = w + 4; q = h + 4; i = q + 1; g = j + 8; b = o + 11. If h = 4, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"d": "x + 14", "w": "d + 5", "f": "w + 15", "g": "f + 5", "y": "g + 5", "s": "y + 6", "k": "x + 6", "o": "k + 8", "z": "o + 4", "m": "z + 17", "r": "m + 2", "j": "r + 15", "x": 13}, "premises": {"x": 13}, "target": "s"}, "answer": {"steps": [["y", "g + 5", "g + 11"], ["g", "f + 5", "f + 16"], ["f", "w + 15", "w + 31"], ["w", "d + 5", "d + 36"], ["d", "x + 14", "x + 50"], ["x", 13, "63"]], "target_var_name": "s", "target_value": 63, "value_dict": {"x": 13}, "is_reverse": true}}
| 25,235
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = d + 5; j = r + 15; g = f + 5; k = x + 6; r = m + 2; s = y + 6; f = w + 15; o = k + 8; m = z + 17; z = o + 4; d = x + 14; x = 13; y = g + 5. If x = 13, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = g + 5 to s, which gives s = g + 11.\n2. Substitute g = f + 5 to s, which gives s = f + 16.\n3. Substitute f = w + 15 to s, which gives s = w + 31.\n4. Substitute w = d + 5 to s, which gives s = d + 36.\n5. Substitute d = x + 14 to s, which gives s = x + 50.\n6. Substitute x = 13 to s, which gives s = 63.\n\nThus, the final answer is s = \\boxed{63}.",
"index": 25235,
"question": "Consider a system of variables where each variable is defined as follows: w = d + 5; j = r + 15; g = f + 5; k = x + 6; r = m + 2; s = y + 6; f = w + 15; o = k + 8; m = z + 17; z = o + 4; d = x + 14; x = 13; y = g + 5. If x = 13, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"c": "q + 4", "y": "c + 9", "u": "y + 5", "e": "u + 15", "t": "e + 20", "r": "t + 3", "l": "q + 11", "x": "l + 11", "d": "x + 4", "p": "d + 10", "m": "p + 6", "s": "m + 20", "q": 13}, "premises": {"q": 13}, "target": "r"}, "answer": {"steps": [["t", "e + 20", "e + 23"], ["e", "u + 15", "u + 38"], ["u", "y + 5", "y + 43"], ["y", "c + 9", "c + 52"], ["c", "q + 4", "q + 56"], ["q", 13, "69"]], "target_var_name": "r", "target_value": 69, "value_dict": {"q": 13}, "is_reverse": true}}
| 25,236
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = d + 10; d = x + 4; s = m + 20; e = u + 15; c = q + 4; l = q + 11; u = y + 5; q = 13; r = t + 3; x = l + 11; t = e + 20; y = c + 9; m = p + 6. If q = 13, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = e + 20 to r, which gives r = e + 23.\n2. Substitute e = u + 15 to r, which gives r = u + 38.\n3. Substitute u = y + 5 to r, which gives r = y + 43.\n4. Substitute y = c + 9 to r, which gives r = c + 52.\n5. Substitute c = q + 4 to r, which gives r = q + 56.\n6. Substitute q = 13 to r, which gives r = 69.\n\nThus, the final answer is r = \\boxed{69}.",
"index": 25236,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = d + 10; d = x + 4; s = m + 20; e = u + 15; c = q + 4; l = q + 11; u = y + 5; q = 13; r = t + 3; x = l + 11; t = e + 20; y = c + 9; m = p + 6. If q = 13, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"t": "j + 2", "f": "t + 15", "x": "f + 1", "e": "x + 13", "g": "e + 3", "k": "g + 11", "q": "j + 12", "a": "q + 8", "r": "a + 18", "l": "r + 16", "d": "l + 16", "h": "d + 20", "j": 5}, "premises": {"j": 5}, "target": "k"}, "answer": {"steps": [["g", "e + 3", "e + 14"], ["e", "x + 13", "x + 27"], ["x", "f + 1", "f + 28"], ["f", "t + 15", "t + 43"], ["t", "j + 2", "j + 45"], ["j", 5, "50"]], "target_var_name": "k", "target_value": 50, "value_dict": {"j": 5}, "is_reverse": true}}
| 25,237
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = x + 13; j = 5; f = t + 15; l = r + 16; x = f + 1; a = q + 8; q = j + 12; r = a + 18; k = g + 11; t = j + 2; h = d + 20; g = e + 3; d = l + 16. If j = 5, determine the 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 g = e + 3 to k, which gives k = e + 14.\n2. Substitute e = x + 13 to k, which gives k = x + 27.\n3. Substitute x = f + 1 to k, which gives k = f + 28.\n4. Substitute f = t + 15 to k, which gives k = t + 43.\n5. Substitute t = j + 2 to k, which gives k = j + 45.\n6. Substitute j = 5 to k, which gives k = 50.\n\nThus, the final answer is k = \\boxed{50}.",
"index": 25237,
"question": "Consider a system of variables where each variable is defined as follows: e = x + 13; j = 5; f = t + 15; l = r + 16; x = f + 1; a = q + 8; q = j + 12; r = a + 18; k = g + 11; t = j + 2; h = d + 20; g = e + 3; d = l + 16. If j = 5, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"c": "v + 16", "d": "c + 13", "b": "d + 7", "z": "b + 11", "k": "z + 12", "i": "k + 15", "w": "v + 9", "g": "w + 9", "o": "g + 1", "r": "o + 18", "m": "r + 3", "p": "m + 9", "v": 19}, "premises": {"v": 19}, "target": "i"}, "answer": {"steps": [["k", "z + 12", "z + 27"], ["z", "b + 11", "b + 38"], ["b", "d + 7", "d + 45"], ["d", "c + 13", "c + 58"], ["c", "v + 16", "v + 74"], ["v", 19, "93"]], "target_var_name": "i", "target_value": 93, "value_dict": {"v": 19}, "is_reverse": true}}
| 25,238
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = g + 1; m = r + 3; b = d + 7; z = b + 11; w = v + 9; d = c + 13; r = o + 18; p = m + 9; g = w + 9; v = 19; c = v + 16; k = z + 12; i = k + 15. If v = 19, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = z + 12 to i, which gives i = z + 27.\n2. Substitute z = b + 11 to i, which gives i = b + 38.\n3. Substitute b = d + 7 to i, which gives i = d + 45.\n4. Substitute d = c + 13 to i, which gives i = c + 58.\n5. Substitute c = v + 16 to i, which gives i = v + 74.\n6. Substitute v = 19 to i, which gives i = 93.\n\nThus, the final answer is i = \\boxed{93}.",
"index": 25238,
"question": "Consider a system of variables where each variable is defined as follows: o = g + 1; m = r + 3; b = d + 7; z = b + 11; w = v + 9; d = c + 13; r = o + 18; p = m + 9; g = w + 9; v = 19; c = v + 16; k = z + 12; i = k + 15. If v = 19, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"w": "o + 1", "l": "w + 14", "e": "l + 3", "h": "e + 12", "z": "h + 16", "y": "z + 4", "s": "o + 16", "i": "s + 12", "x": "i + 14", "r": "x + 7", "b": "r + 9", "f": "b + 17", "o": 12}, "premises": {"o": 12}, "target": "y"}, "answer": {"steps": [["z", "h + 16", "h + 20"], ["h", "e + 12", "e + 32"], ["e", "l + 3", "l + 35"], ["l", "w + 14", "w + 49"], ["w", "o + 1", "o + 50"], ["o", 12, "62"]], "target_var_name": "y", "target_value": 62, "value_dict": {"o": 12}, "is_reverse": true}}
| 25,239
| 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 = b + 17; x = i + 14; l = w + 14; h = e + 12; b = r + 9; y = z + 4; i = s + 12; r = x + 7; z = h + 16; w = o + 1; e = l + 3; o = 12; s = o + 16. If o = 12, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = h + 16 to y, which gives y = h + 20.\n2. Substitute h = e + 12 to y, which gives y = e + 32.\n3. Substitute e = l + 3 to y, which gives y = l + 35.\n4. Substitute l = w + 14 to y, which gives y = w + 49.\n5. Substitute w = o + 1 to y, which gives y = o + 50.\n6. Substitute o = 12 to y, which gives y = 62.\n\nThus, the final answer is y = \\boxed{62}.",
"index": 25239,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = b + 17; x = i + 14; l = w + 14; h = e + 12; b = r + 9; y = z + 4; i = s + 12; r = x + 7; z = h + 16; w = o + 1; e = l + 3; o = 12; s = o + 16. If o = 12, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"l": "w + 20", "b": "l + 1", "t": "b + 5", "n": "t + 20", "i": "n + 9", "v": "i + 20", "j": "w + 8", "z": "j + 16", "p": "z + 13", "y": "p + 17", "f": "y + 8", "q": "f + 6", "w": 1}, "premises": {"w": 1}, "target": "v"}, "answer": {"steps": [["i", "n + 9", "n + 29"], ["n", "t + 20", "t + 49"], ["t", "b + 5", "b + 54"], ["b", "l + 1", "l + 55"], ["l", "w + 20", "w + 75"], ["w", 1, "76"]], "target_var_name": "v", "target_value": 76, "value_dict": {"w": 1}, "is_reverse": true}}
| 25,240
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = f + 6; p = z + 13; i = n + 9; z = j + 16; v = i + 20; f = y + 8; n = t + 20; j = w + 8; w = 1; t = b + 5; l = w + 20; y = p + 17; b = l + 1. If w = 1, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = n + 9 to v, which gives v = n + 29.\n2. Substitute n = t + 20 to v, which gives v = t + 49.\n3. Substitute t = b + 5 to v, which gives v = b + 54.\n4. Substitute b = l + 1 to v, which gives v = l + 55.\n5. Substitute l = w + 20 to v, which gives v = w + 75.\n6. Substitute w = 1 to v, which gives v = 76.\n\nThus, the final answer is v = \\boxed{76}.",
"index": 25240,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = f + 6; p = z + 13; i = n + 9; z = j + 16; v = i + 20; f = y + 8; n = t + 20; j = w + 8; w = 1; t = b + 5; l = w + 20; y = p + 17; b = l + 1. If w = 1, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"q": "x + 19", "d": "q + 5", "h": "d + 18", "e": "h + 18", "c": "e + 16", "g": "c + 15", "b": "x + 11", "u": "b + 15", "t": "u + 1", "a": "t + 11", "w": "a + 8", "j": "w + 13", "x": 10}, "premises": {"x": 10}, "target": "g"}, "answer": {"steps": [["c", "e + 16", "e + 31"], ["e", "h + 18", "h + 49"], ["h", "d + 18", "d + 67"], ["d", "q + 5", "q + 72"], ["q", "x + 19", "x + 91"], ["x", 10, "101"]], "target_var_name": "g", "target_value": 101, "value_dict": {"x": 10}, "is_reverse": true}}
| 25,241
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = x + 11; w = a + 8; j = w + 13; u = b + 15; a = t + 11; x = 10; c = e + 16; q = x + 19; g = c + 15; e = h + 18; d = q + 5; t = u + 1; h = d + 18. Given that x = 10, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 101,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = e + 16 to g, which gives g = e + 31.\n2. Substitute e = h + 18 to g, which gives g = h + 49.\n3. Substitute h = d + 18 to g, which gives g = d + 67.\n4. Substitute d = q + 5 to g, which gives g = q + 72.\n5. Substitute q = x + 19 to g, which gives g = x + 91.\n6. Substitute x = 10 to g, which gives g = 101.\n\nThus, the final answer is g = \\boxed{101}.",
"index": 25241,
"question": "Suppose a collection of variables is related by the following definitions: b = x + 11; w = a + 8; j = w + 13; u = b + 15; a = t + 11; x = 10; c = e + 16; q = x + 19; g = c + 15; e = h + 18; d = q + 5; t = u + 1; h = d + 18. Given that x = 10, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"r": "g + 3", "k": "r + 20", "i": "k + 3", "w": "i + 11", "j": "w + 5", "d": "j + 3", "q": "g + 11", "f": "q + 14", "e": "f + 12", "n": "e + 18", "l": "n + 15", "z": "l + 1", "g": 17}, "premises": {"g": 17}, "target": "d"}, "answer": {"steps": [["j", "w + 5", "w + 8"], ["w", "i + 11", "i + 19"], ["i", "k + 3", "k + 22"], ["k", "r + 20", "r + 42"], ["r", "g + 3", "g + 45"], ["g", 17, "62"]], "target_var_name": "d", "target_value": 62, "value_dict": {"g": 17}, "is_reverse": true}}
| 25,242
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = f + 12; j = w + 5; z = l + 1; d = j + 3; w = i + 11; f = q + 14; n = e + 18; k = r + 20; r = g + 3; q = g + 11; i = k + 3; g = 17; l = n + 15. Given that g = 17, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = w + 5 to d, which gives d = w + 8.\n2. Substitute w = i + 11 to d, which gives d = i + 19.\n3. Substitute i = k + 3 to d, which gives d = k + 22.\n4. Substitute k = r + 20 to d, which gives d = r + 42.\n5. Substitute r = g + 3 to d, which gives d = g + 45.\n6. Substitute g = 17 to d, which gives d = 62.\n\nThus, the final answer is d = \\boxed{62}.",
"index": 25242,
"question": "Suppose a collection of variables is related by the following definitions: e = f + 12; j = w + 5; z = l + 1; d = j + 3; w = i + 11; f = q + 14; n = e + 18; k = r + 20; r = g + 3; q = g + 11; i = k + 3; g = 17; l = n + 15. Given that g = 17, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"k": "u + 11", "r": "k + 11", "l": "r + 8", "y": "l + 20", "p": "y + 2", "b": "p + 12", "i": "u + 14", "v": "i + 1", "m": "v + 9", "n": "m + 12", "c": "n + 13", "x": "c + 1", "u": 19}, "premises": {"u": 19}, "target": "b"}, "answer": {"steps": [["p", "y + 2", "y + 14"], ["y", "l + 20", "l + 34"], ["l", "r + 8", "r + 42"], ["r", "k + 11", "k + 53"], ["k", "u + 11", "u + 64"], ["u", 19, "83"]], "target_var_name": "b", "target_value": 83, "value_dict": {"u": 19}, "is_reverse": true}}
| 25,243
| 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 = u + 11; b = p + 12; u = 19; c = n + 13; n = m + 12; x = c + 1; m = v + 9; v = i + 1; i = u + 14; y = l + 20; r = k + 11; p = y + 2; l = r + 8. If u = 19, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = y + 2 to b, which gives b = y + 14.\n2. Substitute y = l + 20 to b, which gives b = l + 34.\n3. Substitute l = r + 8 to b, which gives b = r + 42.\n4. Substitute r = k + 11 to b, which gives b = k + 53.\n5. Substitute k = u + 11 to b, which gives b = u + 64.\n6. Substitute u = 19 to b, which gives b = 83.\n\nThus, the final answer is b = \\boxed{83}.",
"index": 25243,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = u + 11; b = p + 12; u = 19; c = n + 13; n = m + 12; x = c + 1; m = v + 9; v = i + 1; i = u + 14; y = l + 20; r = k + 11; p = y + 2; l = r + 8. If u = 19, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"b": "j + 14", "h": "b + 8", "s": "h + 6", "d": "s + 10", "p": "d + 1", "c": "p + 15", "e": "j + 13", "v": "e + 16", "w": "v + 13", "q": "w + 8", "n": "q + 3", "x": "n + 6", "j": 17}, "premises": {"j": 17}, "target": "c"}, "answer": {"steps": [["p", "d + 1", "d + 16"], ["d", "s + 10", "s + 26"], ["s", "h + 6", "h + 32"], ["h", "b + 8", "b + 40"], ["b", "j + 14", "j + 54"], ["j", 17, "71"]], "target_var_name": "c", "target_value": 71, "value_dict": {"j": 17}, "is_reverse": true}}
| 25,244
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = v + 13; v = e + 16; d = s + 10; b = j + 14; x = n + 6; p = d + 1; j = 17; e = j + 13; h = b + 8; n = q + 3; s = h + 6; c = p + 15; q = w + 8. Given that j = 17, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = d + 1 to c, which gives c = d + 16.\n2. Substitute d = s + 10 to c, which gives c = s + 26.\n3. Substitute s = h + 6 to c, which gives c = h + 32.\n4. Substitute h = b + 8 to c, which gives c = b + 40.\n5. Substitute b = j + 14 to c, which gives c = j + 54.\n6. Substitute j = 17 to c, which gives c = 71.\n\nThus, the final answer is c = \\boxed{71}.",
"index": 25244,
"question": "Suppose a collection of variables is related by the following definitions: w = v + 13; v = e + 16; d = s + 10; b = j + 14; x = n + 6; p = d + 1; j = 17; e = j + 13; h = b + 8; n = q + 3; s = h + 6; c = p + 15; q = w + 8. Given that j = 17, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"f": "r + 4", "l": "f + 18", "d": "l + 8", "o": "d + 6", "t": "o + 19", "n": "t + 17", "v": "r + 6", "m": "v + 4", "x": "m + 4", "e": "x + 8", "j": "e + 17", "p": "j + 14", "r": 11}, "premises": {"r": 11}, "target": "n"}, "answer": {"steps": [["t", "o + 19", "o + 36"], ["o", "d + 6", "d + 42"], ["d", "l + 8", "l + 50"], ["l", "f + 18", "f + 68"], ["f", "r + 4", "r + 72"], ["r", 11, "83"]], "target_var_name": "n", "target_value": 83, "value_dict": {"r": 11}, "is_reverse": true}}
| 25,245
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = j + 14; e = x + 8; r = 11; t = o + 19; v = r + 6; d = l + 8; j = e + 17; x = m + 4; n = t + 17; o = d + 6; l = f + 18; f = r + 4; m = v + 4. Given that r = 11, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = o + 19 to n, which gives n = o + 36.\n2. Substitute o = d + 6 to n, which gives n = d + 42.\n3. Substitute d = l + 8 to n, which gives n = l + 50.\n4. Substitute l = f + 18 to n, which gives n = f + 68.\n5. Substitute f = r + 4 to n, which gives n = r + 72.\n6. Substitute r = 11 to n, which gives n = 83.\n\nThus, the final answer is n = \\boxed{83}.",
"index": 25245,
"question": "Suppose a collection of variables is related by the following definitions: p = j + 14; e = x + 8; r = 11; t = o + 19; v = r + 6; d = l + 8; j = e + 17; x = m + 4; n = t + 17; o = d + 6; l = f + 18; f = r + 4; m = v + 4. Given that r = 11, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"t": "c + 11", "i": "t + 19", "h": "i + 15", "b": "h + 9", "l": "b + 13", "y": "l + 7", "z": "c + 15", "d": "z + 10", "e": "d + 19", "g": "e + 17", "f": "g + 13", "p": "f + 14", "c": 20}, "premises": {"c": 20}, "target": "y"}, "answer": {"steps": [["l", "b + 13", "b + 20"], ["b", "h + 9", "h + 29"], ["h", "i + 15", "i + 44"], ["i", "t + 19", "t + 63"], ["t", "c + 11", "c + 74"], ["c", 20, "94"]], "target_var_name": "y", "target_value": 94, "value_dict": {"c": 20}, "is_reverse": true}}
| 25,246
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = c + 15; i = t + 19; d = z + 10; h = i + 15; t = c + 11; b = h + 9; y = l + 7; l = b + 13; c = 20; g = e + 17; e = d + 19; f = g + 13; p = f + 14. If c = 20, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = b + 13 to y, which gives y = b + 20.\n2. Substitute b = h + 9 to y, which gives y = h + 29.\n3. Substitute h = i + 15 to y, which gives y = i + 44.\n4. Substitute i = t + 19 to y, which gives y = t + 63.\n5. Substitute t = c + 11 to y, which gives y = c + 74.\n6. Substitute c = 20 to y, which gives y = 94.\n\nThus, the final answer is y = \\boxed{94}.",
"index": 25246,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = c + 15; i = t + 19; d = z + 10; h = i + 15; t = c + 11; b = h + 9; y = l + 7; l = b + 13; c = 20; g = e + 17; e = d + 19; f = g + 13; p = f + 14. If c = 20, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"t": "i + 18", "k": "t + 2", "d": "k + 12", "e": "d + 7", "z": "e + 19", "j": "z + 2", "c": "i + 18", "q": "c + 3", "v": "q + 6", "m": "v + 8", "n": "m + 17", "l": "n + 15", "i": 13}, "premises": {"i": 13}, "target": "j"}, "answer": {"steps": [["z", "e + 19", "e + 21"], ["e", "d + 7", "d + 28"], ["d", "k + 12", "k + 40"], ["k", "t + 2", "t + 42"], ["t", "i + 18", "i + 60"], ["i", 13, "73"]], "target_var_name": "j", "target_value": 73, "value_dict": {"i": 13}, "is_reverse": true}}
| 25,247
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = e + 19; k = t + 2; t = i + 18; c = i + 18; q = c + 3; l = n + 15; d = k + 12; n = m + 17; i = 13; e = d + 7; j = z + 2; m = v + 8; v = q + 6. If i = 13, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = e + 19 to j, which gives j = e + 21.\n2. Substitute e = d + 7 to j, which gives j = d + 28.\n3. Substitute d = k + 12 to j, which gives j = k + 40.\n4. Substitute k = t + 2 to j, which gives j = t + 42.\n5. Substitute t = i + 18 to j, which gives j = i + 60.\n6. Substitute i = 13 to j, which gives j = 73.\n\nThus, the final answer is j = \\boxed{73}.",
"index": 25247,
"question": "Consider a system of variables where each variable is defined as follows: z = e + 19; k = t + 2; t = i + 18; c = i + 18; q = c + 3; l = n + 15; d = k + 12; n = m + 17; i = 13; e = d + 7; j = z + 2; m = v + 8; v = q + 6. If i = 13, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"v": "e + 19", "g": "v + 9", "p": "g + 6", "d": "p + 11", "n": "d + 6", "h": "n + 20", "b": "e + 20", "w": "b + 5", "q": "w + 2", "x": "q + 2", "r": "x + 5", "a": "r + 4", "e": 17}, "premises": {"e": 17}, "target": "h"}, "answer": {"steps": [["n", "d + 6", "d + 26"], ["d", "p + 11", "p + 37"], ["p", "g + 6", "g + 43"], ["g", "v + 9", "v + 52"], ["v", "e + 19", "e + 71"], ["e", 17, "88"]], "target_var_name": "h", "target_value": 88, "value_dict": {"e": 17}, "is_reverse": true}}
| 25,248
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = 17; r = x + 5; b = e + 20; d = p + 11; p = g + 6; h = n + 20; g = v + 9; q = w + 2; v = e + 19; x = q + 2; w = b + 5; n = d + 6; a = r + 4. If e = 17, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = d + 6 to h, which gives h = d + 26.\n2. Substitute d = p + 11 to h, which gives h = p + 37.\n3. Substitute p = g + 6 to h, which gives h = g + 43.\n4. Substitute g = v + 9 to h, which gives h = v + 52.\n5. Substitute v = e + 19 to h, which gives h = e + 71.\n6. Substitute e = 17 to h, which gives h = 88.\n\nThus, the final answer is h = \\boxed{88}.",
"index": 25248,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = 17; r = x + 5; b = e + 20; d = p + 11; p = g + 6; h = n + 20; g = v + 9; q = w + 2; v = e + 19; x = q + 2; w = b + 5; n = d + 6; a = r + 4. If e = 17, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"t": "f + 19", "i": "t + 13", "l": "i + 8", "m": "l + 10", "o": "m + 11", "h": "o + 17", "j": "f + 4", "b": "j + 2", "v": "b + 19", "q": "v + 17", "u": "q + 1", "w": "u + 20", "f": 11}, "premises": {"f": 11}, "target": "h"}, "answer": {"steps": [["o", "m + 11", "m + 28"], ["m", "l + 10", "l + 38"], ["l", "i + 8", "i + 46"], ["i", "t + 13", "t + 59"], ["t", "f + 19", "f + 78"], ["f", 11, "89"]], "target_var_name": "h", "target_value": 89, "value_dict": {"f": 11}, "is_reverse": true}}
| 25,249
| 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 = t + 13; h = o + 17; o = m + 11; l = i + 8; b = j + 2; v = b + 19; u = q + 1; w = u + 20; j = f + 4; f = 11; t = f + 19; m = l + 10; q = v + 17. If f = 11, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = m + 11 to h, which gives h = m + 28.\n2. Substitute m = l + 10 to h, which gives h = l + 38.\n3. Substitute l = i + 8 to h, which gives h = i + 46.\n4. Substitute i = t + 13 to h, which gives h = t + 59.\n5. Substitute t = f + 19 to h, which gives h = f + 78.\n6. Substitute f = 11 to h, which gives h = 89.\n\nThus, the final answer is h = \\boxed{89}.",
"index": 25249,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = t + 13; h = o + 17; o = m + 11; l = i + 8; b = j + 2; v = b + 19; u = q + 1; w = u + 20; j = f + 4; f = 11; t = f + 19; m = l + 10; q = v + 17. If f = 11, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"h": "f + 12", "g": "h + 6", "t": "g + 9", "y": "t + 9", "d": "y + 3", "u": "d + 6", "n": "f + 15", "o": "n + 16", "v": "o + 7", "i": "v + 11", "z": "i + 6", "j": "z + 19", "f": 15}, "premises": {"f": 15}, "target": "u"}, "answer": {"steps": [["d", "y + 3", "y + 9"], ["y", "t + 9", "t + 18"], ["t", "g + 9", "g + 27"], ["g", "h + 6", "h + 33"], ["h", "f + 12", "f + 45"], ["f", 15, "60"]], "target_var_name": "u", "target_value": 60, "value_dict": {"f": 15}, "is_reverse": true}}
| 25,250
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = z + 19; u = d + 6; y = t + 9; h = f + 12; n = f + 15; z = i + 6; t = g + 9; g = h + 6; o = n + 16; i = v + 11; v = o + 7; d = y + 3; f = 15. If f = 15, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = y + 3 to u, which gives u = y + 9.\n2. Substitute y = t + 9 to u, which gives u = t + 18.\n3. Substitute t = g + 9 to u, which gives u = g + 27.\n4. Substitute g = h + 6 to u, which gives u = h + 33.\n5. Substitute h = f + 12 to u, which gives u = f + 45.\n6. Substitute f = 15 to u, which gives u = 60.\n\nThus, the final answer is u = \\boxed{60}.",
"index": 25250,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = z + 19; u = d + 6; y = t + 9; h = f + 12; n = f + 15; z = i + 6; t = g + 9; g = h + 6; o = n + 16; i = v + 11; v = o + 7; d = y + 3; f = 15. If f = 15, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"d": "e + 4", "r": "d + 16", "f": "r + 13", "i": "f + 18", "y": "i + 11", "o": "y + 4", "j": "e + 16", "g": "j + 18", "x": "g + 4", "u": "x + 14", "m": "u + 1", "l": "m + 17", "e": 7}, "premises": {"e": 7}, "target": "o"}, "answer": {"steps": [["y", "i + 11", "i + 15"], ["i", "f + 18", "f + 33"], ["f", "r + 13", "r + 46"], ["r", "d + 16", "d + 62"], ["d", "e + 4", "e + 66"], ["e", 7, "73"]], "target_var_name": "o", "target_value": 73, "value_dict": {"e": 7}, "is_reverse": true}}
| 25,251
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = m + 17; r = d + 16; i = f + 18; j = e + 16; o = y + 4; f = r + 13; e = 7; g = j + 18; d = e + 4; x = g + 4; u = x + 14; y = i + 11; m = u + 1. Given that e = 7, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = i + 11 to o, which gives o = i + 15.\n2. Substitute i = f + 18 to o, which gives o = f + 33.\n3. Substitute f = r + 13 to o, which gives o = r + 46.\n4. Substitute r = d + 16 to o, which gives o = d + 62.\n5. Substitute d = e + 4 to o, which gives o = e + 66.\n6. Substitute e = 7 to o, which gives o = 73.\n\nThus, the final answer is o = \\boxed{73}.",
"index": 25251,
"question": "Suppose a collection of variables is related by the following definitions: l = m + 17; r = d + 16; i = f + 18; j = e + 16; o = y + 4; f = r + 13; e = 7; g = j + 18; d = e + 4; x = g + 4; u = x + 14; y = i + 11; m = u + 1. Given that e = 7, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"m": "y + 10", "l": "m + 15", "w": "l + 7", "k": "w + 17", "o": "k + 15", "g": "o + 14", "h": "y + 1", "z": "h + 13", "f": "z + 19", "s": "f + 2", "a": "s + 19", "d": "a + 14", "y": 9}, "premises": {"y": 9}, "target": "g"}, "answer": {"steps": [["o", "k + 15", "k + 29"], ["k", "w + 17", "w + 46"], ["w", "l + 7", "l + 53"], ["l", "m + 15", "m + 68"], ["m", "y + 10", "y + 78"], ["y", 9, "87"]], "target_var_name": "g", "target_value": 87, "value_dict": {"y": 9}, "is_reverse": true}}
| 25,252
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = z + 19; a = s + 19; z = h + 13; o = k + 15; s = f + 2; g = o + 14; m = y + 10; d = a + 14; h = y + 1; l = m + 15; k = w + 17; y = 9; w = l + 7. Given that y = 9, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = k + 15 to g, which gives g = k + 29.\n2. Substitute k = w + 17 to g, which gives g = w + 46.\n3. Substitute w = l + 7 to g, which gives g = l + 53.\n4. Substitute l = m + 15 to g, which gives g = m + 68.\n5. Substitute m = y + 10 to g, which gives g = y + 78.\n6. Substitute y = 9 to g, which gives g = 87.\n\nThus, the final answer is g = \\boxed{87}.",
"index": 25252,
"question": "Suppose a collection of variables is related by the following definitions: f = z + 19; a = s + 19; z = h + 13; o = k + 15; s = f + 2; g = o + 14; m = y + 10; d = a + 14; h = y + 1; l = m + 15; k = w + 17; y = 9; w = l + 7. Given that y = 9, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"x": "j + 16", "r": "x + 6", "y": "r + 3", "g": "y + 13", "a": "g + 20", "h": "a + 5", "k": "j + 3", "d": "k + 14", "s": "d + 17", "c": "s + 8", "m": "c + 4", "u": "m + 17", "j": 11}, "premises": {"j": 11}, "target": "h"}, "answer": {"steps": [["a", "g + 20", "g + 25"], ["g", "y + 13", "y + 38"], ["y", "r + 3", "r + 41"], ["r", "x + 6", "x + 47"], ["x", "j + 16", "j + 63"], ["j", 11, "74"]], "target_var_name": "h", "target_value": 74, "value_dict": {"j": 11}, "is_reverse": true}}
| 25,253
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = j + 16; a = g + 20; d = k + 14; g = y + 13; h = a + 5; r = x + 6; c = s + 8; s = d + 17; j = 11; k = j + 3; m = c + 4; u = m + 17; y = r + 3. Given that j = 11, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = g + 20 to h, which gives h = g + 25.\n2. Substitute g = y + 13 to h, which gives h = y + 38.\n3. Substitute y = r + 3 to h, which gives h = r + 41.\n4. Substitute r = x + 6 to h, which gives h = x + 47.\n5. Substitute x = j + 16 to h, which gives h = j + 63.\n6. Substitute j = 11 to h, which gives h = 74.\n\nThus, the final answer is h = \\boxed{74}.",
"index": 25253,
"question": "Suppose a collection of variables is related by the following definitions: x = j + 16; a = g + 20; d = k + 14; g = y + 13; h = a + 5; r = x + 6; c = s + 8; s = d + 17; j = 11; k = j + 3; m = c + 4; u = m + 17; y = r + 3. Given that j = 11, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"t": "l + 6", "i": "t + 8", "u": "i + 17", "b": "u + 19", "h": "b + 16", "y": "h + 3", "o": "l + 8", "e": "o + 12", "q": "e + 2", "a": "q + 18", "k": "a + 10", "v": "k + 11", "l": 6}, "premises": {"l": 6}, "target": "y"}, "answer": {"steps": [["h", "b + 16", "b + 19"], ["b", "u + 19", "u + 38"], ["u", "i + 17", "i + 55"], ["i", "t + 8", "t + 63"], ["t", "l + 6", "l + 69"], ["l", 6, "75"]], "target_var_name": "y", "target_value": 75, "value_dict": {"l": 6}, "is_reverse": true}}
| 25,254
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = i + 17; b = u + 19; t = l + 6; e = o + 12; i = t + 8; l = 6; q = e + 2; y = h + 3; a = q + 18; h = b + 16; v = k + 11; k = a + 10; o = l + 8. Given that l = 6, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = b + 16 to y, which gives y = b + 19.\n2. Substitute b = u + 19 to y, which gives y = u + 38.\n3. Substitute u = i + 17 to y, which gives y = i + 55.\n4. Substitute i = t + 8 to y, which gives y = t + 63.\n5. Substitute t = l + 6 to y, which gives y = l + 69.\n6. Substitute l = 6 to y, which gives y = 75.\n\nThus, the final answer is y = \\boxed{75}.",
"index": 25254,
"question": "Suppose a collection of variables is related by the following definitions: u = i + 17; b = u + 19; t = l + 6; e = o + 12; i = t + 8; l = 6; q = e + 2; y = h + 3; a = q + 18; h = b + 16; v = k + 11; k = a + 10; o = l + 8. Given that l = 6, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"a": "u + 4", "e": "a + 10", "p": "e + 18", "n": "p + 14", "f": "n + 13", "c": "f + 13", "z": "u + 9", "g": "z + 18", "j": "g + 20", "y": "j + 2", "l": "y + 3", "s": "l + 12", "u": 4}, "premises": {"u": 4}, "target": "c"}, "answer": {"steps": [["f", "n + 13", "n + 26"], ["n", "p + 14", "p + 40"], ["p", "e + 18", "e + 58"], ["e", "a + 10", "a + 68"], ["a", "u + 4", "u + 72"], ["u", 4, "76"]], "target_var_name": "c", "target_value": 76, "value_dict": {"u": 4}, "is_reverse": true}}
| 25,255
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = 4; n = p + 14; j = g + 20; l = y + 3; s = l + 12; c = f + 13; p = e + 18; z = u + 9; f = n + 13; a = u + 4; g = z + 18; y = j + 2; e = a + 10. Given that u = 4, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = n + 13 to c, which gives c = n + 26.\n2. Substitute n = p + 14 to c, which gives c = p + 40.\n3. Substitute p = e + 18 to c, which gives c = e + 58.\n4. Substitute e = a + 10 to c, which gives c = a + 68.\n5. Substitute a = u + 4 to c, which gives c = u + 72.\n6. Substitute u = 4 to c, which gives c = 76.\n\nThus, the final answer is c = \\boxed{76}.",
"index": 25255,
"question": "Suppose a collection of variables is related by the following definitions: u = 4; n = p + 14; j = g + 20; l = y + 3; s = l + 12; c = f + 13; p = e + 18; z = u + 9; f = n + 13; a = u + 4; g = z + 18; y = j + 2; e = a + 10. Given that u = 4, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"c": "k + 14", "x": "c + 10", "u": "x + 7", "r": "u + 20", "g": "r + 1", "a": "g + 13", "d": "k + 3", "v": "d + 1", "i": "v + 20", "e": "i + 1", "q": "e + 19", "n": "q + 9", "k": 18}, "premises": {"k": 18}, "target": "a"}, "answer": {"steps": [["g", "r + 1", "r + 14"], ["r", "u + 20", "u + 34"], ["u", "x + 7", "x + 41"], ["x", "c + 10", "c + 51"], ["c", "k + 14", "k + 65"], ["k", 18, "83"]], "target_var_name": "a", "target_value": 83, "value_dict": {"k": 18}, "is_reverse": true}}
| 25,256
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = k + 14; v = d + 1; x = c + 10; g = r + 1; a = g + 13; q = e + 19; n = q + 9; i = v + 20; k = 18; u = x + 7; r = u + 20; d = k + 3; e = i + 1. If k = 18, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = r + 1 to a, which gives a = r + 14.\n2. Substitute r = u + 20 to a, which gives a = u + 34.\n3. Substitute u = x + 7 to a, which gives a = x + 41.\n4. Substitute x = c + 10 to a, which gives a = c + 51.\n5. Substitute c = k + 14 to a, which gives a = k + 65.\n6. Substitute k = 18 to a, which gives a = 83.\n\nThus, the final answer is a = \\boxed{83}.",
"index": 25256,
"question": "Consider a system of variables where each variable is defined as follows: c = k + 14; v = d + 1; x = c + 10; g = r + 1; a = g + 13; q = e + 19; n = q + 9; i = v + 20; k = 18; u = x + 7; r = u + 20; d = k + 3; e = i + 1. If k = 18, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"m": "d + 1", "r": "m + 18", "b": "r + 20", "x": "b + 18", "v": "x + 9", "f": "v + 1", "h": "d + 5", "a": "h + 14", "c": "a + 20", "p": "c + 15", "k": "p + 15", "t": "k + 12", "d": 19}, "premises": {"d": 19}, "target": "f"}, "answer": {"steps": [["v", "x + 9", "x + 10"], ["x", "b + 18", "b + 28"], ["b", "r + 20", "r + 48"], ["r", "m + 18", "m + 66"], ["m", "d + 1", "d + 67"], ["d", 19, "86"]], "target_var_name": "f", "target_value": 86, "value_dict": {"d": 19}, "is_reverse": true}}
| 25,257
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = p + 15; m = d + 1; t = k + 12; f = v + 1; p = c + 15; c = a + 20; a = h + 14; h = d + 5; d = 19; x = b + 18; b = r + 20; v = x + 9; r = m + 18. Given that d = 19, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = x + 9 to f, which gives f = x + 10.\n2. Substitute x = b + 18 to f, which gives f = b + 28.\n3. Substitute b = r + 20 to f, which gives f = r + 48.\n4. Substitute r = m + 18 to f, which gives f = m + 66.\n5. Substitute m = d + 1 to f, which gives f = d + 67.\n6. Substitute d = 19 to f, which gives f = 86.\n\nThus, the final answer is f = \\boxed{86}.",
"index": 25257,
"question": "Suppose a collection of variables is related by the following definitions: k = p + 15; m = d + 1; t = k + 12; f = v + 1; p = c + 15; c = a + 20; a = h + 14; h = d + 5; d = 19; x = b + 18; b = r + 20; v = x + 9; r = m + 18. Given that d = 19, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"j": "i + 14", "u": "j + 14", "t": "u + 19", "c": "t + 18", "q": "c + 10", "w": "q + 16", "s": "i + 9", "x": "s + 18", "d": "x + 18", "z": "d + 15", "o": "z + 7", "h": "o + 16", "i": 10}, "premises": {"i": 10}, "target": "w"}, "answer": {"steps": [["q", "c + 10", "c + 26"], ["c", "t + 18", "t + 44"], ["t", "u + 19", "u + 63"], ["u", "j + 14", "j + 77"], ["j", "i + 14", "i + 91"], ["i", 10, "101"]], "target_var_name": "w", "target_value": 101, "value_dict": {"i": 10}, "is_reverse": true}}
| 25,258
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = d + 15; u = j + 14; c = t + 18; x = s + 18; q = c + 10; o = z + 7; s = i + 9; t = u + 19; i = 10; h = o + 16; d = x + 18; w = q + 16; j = i + 14. If i = 10, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 101,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = c + 10 to w, which gives w = c + 26.\n2. Substitute c = t + 18 to w, which gives w = t + 44.\n3. Substitute t = u + 19 to w, which gives w = u + 63.\n4. Substitute u = j + 14 to w, which gives w = j + 77.\n5. Substitute j = i + 14 to w, which gives w = i + 91.\n6. Substitute i = 10 to w, which gives w = 101.\n\nThus, the final answer is w = \\boxed{101}.",
"index": 25258,
"question": "Consider a system of variables where each variable is defined as follows: z = d + 15; u = j + 14; c = t + 18; x = s + 18; q = c + 10; o = z + 7; s = i + 9; t = u + 19; i = 10; h = o + 16; d = x + 18; w = q + 16; j = i + 14. If i = 10, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"s": "i + 18", "e": "s + 3", "w": "e + 19", "a": "w + 2", "m": "a + 13", "h": "m + 15", "q": "i + 3", "y": "q + 16", "g": "y + 4", "z": "g + 4", "b": "z + 19", "d": "b + 16", "i": 9}, "premises": {"i": 9}, "target": "h"}, "answer": {"steps": [["m", "a + 13", "a + 28"], ["a", "w + 2", "w + 30"], ["w", "e + 19", "e + 49"], ["e", "s + 3", "s + 52"], ["s", "i + 18", "i + 70"], ["i", 9, "79"]], "target_var_name": "h", "target_value": 79, "value_dict": {"i": 9}, "is_reverse": true}}
| 25,259
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = i + 3; y = q + 16; z = g + 4; h = m + 15; w = e + 19; b = z + 19; m = a + 13; e = s + 3; i = 9; d = b + 16; g = y + 4; a = w + 2; s = i + 18. If i = 9, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = a + 13 to h, which gives h = a + 28.\n2. Substitute a = w + 2 to h, which gives h = w + 30.\n3. Substitute w = e + 19 to h, which gives h = e + 49.\n4. Substitute e = s + 3 to h, which gives h = s + 52.\n5. Substitute s = i + 18 to h, which gives h = i + 70.\n6. Substitute i = 9 to h, which gives h = 79.\n\nThus, the final answer is h = \\boxed{79}.",
"index": 25259,
"question": "Consider a system of variables where each variable is defined as follows: q = i + 3; y = q + 16; z = g + 4; h = m + 15; w = e + 19; b = z + 19; m = a + 13; e = s + 3; i = 9; d = b + 16; g = y + 4; a = w + 2; s = i + 18. If i = 9, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"o": "v + 3", "l": "o + 11", "r": "l + 6", "c": "r + 13", "p": "c + 10", "h": "p + 14", "k": "v + 10", "s": "k + 13", "n": "s + 19", "e": "n + 3", "d": "e + 12", "g": "d + 5", "v": 17}, "premises": {"v": 17}, "target": "h"}, "answer": {"steps": [["p", "c + 10", "c + 24"], ["c", "r + 13", "r + 37"], ["r", "l + 6", "l + 43"], ["l", "o + 11", "o + 54"], ["o", "v + 3", "v + 57"], ["v", 17, "74"]], "target_var_name": "h", "target_value": 74, "value_dict": {"v": 17}, "is_reverse": true}}
| 25,260
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = r + 13; k = v + 10; n = s + 19; h = p + 14; l = o + 11; s = k + 13; r = l + 6; v = 17; p = c + 10; o = v + 3; d = e + 12; g = d + 5; e = n + 3. If v = 17, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = c + 10 to h, which gives h = c + 24.\n2. Substitute c = r + 13 to h, which gives h = r + 37.\n3. Substitute r = l + 6 to h, which gives h = l + 43.\n4. Substitute l = o + 11 to h, which gives h = o + 54.\n5. Substitute o = v + 3 to h, which gives h = v + 57.\n6. Substitute v = 17 to h, which gives h = 74.\n\nThus, the final answer is h = \\boxed{74}.",
"index": 25260,
"question": "Consider a system of variables where each variable is defined as follows: c = r + 13; k = v + 10; n = s + 19; h = p + 14; l = o + 11; s = k + 13; r = l + 6; v = 17; p = c + 10; o = v + 3; d = e + 12; g = d + 5; e = n + 3. If v = 17, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"m": "w + 8", "o": "m + 3", "c": "o + 20", "v": "c + 3", "u": "v + 11", "s": "u + 11", "p": "w + 8", "b": "p + 17", "h": "b + 18", "t": "h + 16", "j": "t + 1", "l": "j + 9", "w": 4}, "premises": {"w": 4}, "target": "s"}, "answer": {"steps": [["u", "v + 11", "v + 22"], ["v", "c + 3", "c + 25"], ["c", "o + 20", "o + 45"], ["o", "m + 3", "m + 48"], ["m", "w + 8", "w + 56"], ["w", 4, "60"]], "target_var_name": "s", "target_value": 60, "value_dict": {"w": 4}, "is_reverse": true}}
| 25,261
| 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 + 20; v = c + 3; t = h + 16; p = w + 8; l = j + 9; s = u + 11; m = w + 8; j = t + 1; b = p + 17; u = v + 11; w = 4; h = b + 18; o = m + 3. If w = 4, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = v + 11 to s, which gives s = v + 22.\n2. Substitute v = c + 3 to s, which gives s = c + 25.\n3. Substitute c = o + 20 to s, which gives s = o + 45.\n4. Substitute o = m + 3 to s, which gives s = m + 48.\n5. Substitute m = w + 8 to s, which gives s = w + 56.\n6. Substitute w = 4 to s, which gives s = 60.\n\nThus, the final answer is s = \\boxed{60}.",
"index": 25261,
"question": "Consider a system of variables where each variable is defined as follows: c = o + 20; v = c + 3; t = h + 16; p = w + 8; l = j + 9; s = u + 11; m = w + 8; j = t + 1; b = p + 17; u = v + 11; w = 4; h = b + 18; o = m + 3. If w = 4, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"g": "r + 2", "m": "g + 17", "p": "m + 8", "q": "p + 13", "l": "q + 9", "t": "l + 17", "j": "r + 12", "o": "j + 16", "a": "o + 6", "h": "a + 17", "n": "h + 15", "u": "n + 11", "r": 18}, "premises": {"r": 18}, "target": "t"}, "answer": {"steps": [["l", "q + 9", "q + 26"], ["q", "p + 13", "p + 39"], ["p", "m + 8", "m + 47"], ["m", "g + 17", "g + 64"], ["g", "r + 2", "r + 66"], ["r", 18, "84"]], "target_var_name": "t", "target_value": 84, "value_dict": {"r": 18}, "is_reverse": true}}
| 25,262
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = a + 17; t = l + 17; r = 18; m = g + 17; l = q + 9; u = n + 11; p = m + 8; o = j + 16; n = h + 15; g = r + 2; a = o + 6; j = r + 12; q = p + 13. If r = 18, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = q + 9 to t, which gives t = q + 26.\n2. Substitute q = p + 13 to t, which gives t = p + 39.\n3. Substitute p = m + 8 to t, which gives t = m + 47.\n4. Substitute m = g + 17 to t, which gives t = g + 64.\n5. Substitute g = r + 2 to t, which gives t = r + 66.\n6. Substitute r = 18 to t, which gives t = 84.\n\nThus, the final answer is t = \\boxed{84}.",
"index": 25262,
"question": "Consider a system of variables where each variable is defined as follows: h = a + 17; t = l + 17; r = 18; m = g + 17; l = q + 9; u = n + 11; p = m + 8; o = j + 16; n = h + 15; g = r + 2; a = o + 6; j = r + 12; q = p + 13. If r = 18, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"y": "p + 4", "f": "y + 8", "l": "f + 17", "z": "l + 4", "q": "z + 19", "h": "q + 1", "b": "p + 7", "m": "b + 3", "d": "m + 12", "j": "d + 13", "n": "j + 16", "w": "n + 6", "p": 15}, "premises": {"p": 15}, "target": "h"}, "answer": {"steps": [["q", "z + 19", "z + 20"], ["z", "l + 4", "l + 24"], ["l", "f + 17", "f + 41"], ["f", "y + 8", "y + 49"], ["y", "p + 4", "p + 53"], ["p", 15, "68"]], "target_var_name": "h", "target_value": 68, "value_dict": {"p": 15}, "is_reverse": true}}
| 25,263
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = m + 12; w = n + 6; y = p + 4; h = q + 1; m = b + 3; q = z + 19; f = y + 8; n = j + 16; j = d + 13; p = 15; b = p + 7; l = f + 17; z = l + 4. If p = 15, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = z + 19 to h, which gives h = z + 20.\n2. Substitute z = l + 4 to h, which gives h = l + 24.\n3. Substitute l = f + 17 to h, which gives h = f + 41.\n4. Substitute f = y + 8 to h, which gives h = y + 49.\n5. Substitute y = p + 4 to h, which gives h = p + 53.\n6. Substitute p = 15 to h, which gives h = 68.\n\nThus, the final answer is h = \\boxed{68}.",
"index": 25263,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = m + 12; w = n + 6; y = p + 4; h = q + 1; m = b + 3; q = z + 19; f = y + 8; n = j + 16; j = d + 13; p = 15; b = p + 7; l = f + 17; z = l + 4. If p = 15, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"f": "l + 14", "u": "f + 12", "e": "u + 2", "a": "e + 16", "z": "a + 4", "t": "z + 9", "v": "l + 17", "p": "v + 16", "x": "p + 12", "m": "x + 13", "r": "m + 13", "w": "r + 8", "l": 1}, "premises": {"l": 1}, "target": "t"}, "answer": {"steps": [["z", "a + 4", "a + 13"], ["a", "e + 16", "e + 29"], ["e", "u + 2", "u + 31"], ["u", "f + 12", "f + 43"], ["f", "l + 14", "l + 57"], ["l", 1, "58"]], "target_var_name": "t", "target_value": 58, "value_dict": {"l": 1}, "is_reverse": true}}
| 25,264
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = m + 13; l = 1; u = f + 12; x = p + 12; e = u + 2; a = e + 16; m = x + 13; p = v + 16; f = l + 14; t = z + 9; z = a + 4; w = r + 8; v = l + 17. If l = 1, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = a + 4 to t, which gives t = a + 13.\n2. Substitute a = e + 16 to t, which gives t = e + 29.\n3. Substitute e = u + 2 to t, which gives t = u + 31.\n4. Substitute u = f + 12 to t, which gives t = f + 43.\n5. Substitute f = l + 14 to t, which gives t = l + 57.\n6. Substitute l = 1 to t, which gives t = 58.\n\nThus, the final answer is t = \\boxed{58}.",
"index": 25264,
"question": "Consider a system of variables where each variable is defined as follows: r = m + 13; l = 1; u = f + 12; x = p + 12; e = u + 2; a = e + 16; m = x + 13; p = v + 16; f = l + 14; t = z + 9; z = a + 4; w = r + 8; v = l + 17. If l = 1, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"t": "o + 19", "j": "t + 15", "y": "j + 6", "x": "y + 16", "k": "x + 10", "h": "k + 11", "v": "o + 15", "f": "v + 19", "n": "f + 18", "w": "n + 10", "z": "w + 6", "s": "z + 14", "o": 17}, "premises": {"o": 17}, "target": "h"}, "answer": {"steps": [["k", "x + 10", "x + 21"], ["x", "y + 16", "y + 37"], ["y", "j + 6", "j + 43"], ["j", "t + 15", "t + 58"], ["t", "o + 19", "o + 77"], ["o", 17, "94"]], "target_var_name": "h", "target_value": 94, "value_dict": {"o": 17}, "is_reverse": true}}
| 25,265
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = f + 18; s = z + 14; k = x + 10; f = v + 19; y = j + 6; j = t + 15; t = o + 19; z = w + 6; h = k + 11; w = n + 10; v = o + 15; x = y + 16; o = 17. If o = 17, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = x + 10 to h, which gives h = x + 21.\n2. Substitute x = y + 16 to h, which gives h = y + 37.\n3. Substitute y = j + 6 to h, which gives h = j + 43.\n4. Substitute j = t + 15 to h, which gives h = t + 58.\n5. Substitute t = o + 19 to h, which gives h = o + 77.\n6. Substitute o = 17 to h, which gives h = 94.\n\nThus, the final answer is h = \\boxed{94}.",
"index": 25265,
"question": "Consider a system of variables where each variable is defined as follows: n = f + 18; s = z + 14; k = x + 10; f = v + 19; y = j + 6; j = t + 15; t = o + 19; z = w + 6; h = k + 11; w = n + 10; v = o + 15; x = y + 16; o = 17. If o = 17, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"z": "e + 19", "v": "z + 9", "o": "v + 3", "d": "o + 18", "c": "d + 14", "j": "c + 6", "n": "e + 18", "q": "n + 11", "u": "q + 5", "l": "u + 18", "y": "l + 3", "g": "y + 3", "e": 13}, "premises": {"e": 13}, "target": "j"}, "answer": {"steps": [["c", "d + 14", "d + 20"], ["d", "o + 18", "o + 38"], ["o", "v + 3", "v + 41"], ["v", "z + 9", "z + 50"], ["z", "e + 19", "e + 69"], ["e", 13, "82"]], "target_var_name": "j", "target_value": 82, "value_dict": {"e": 13}, "is_reverse": true}}
| 25,266
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = e + 19; n = e + 18; d = o + 18; v = z + 9; o = v + 3; u = q + 5; y = l + 3; l = u + 18; g = y + 3; q = n + 11; c = d + 14; j = c + 6; e = 13. If e = 13, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = d + 14 to j, which gives j = d + 20.\n2. Substitute d = o + 18 to j, which gives j = o + 38.\n3. Substitute o = v + 3 to j, which gives j = v + 41.\n4. Substitute v = z + 9 to j, which gives j = z + 50.\n5. Substitute z = e + 19 to j, which gives j = e + 69.\n6. Substitute e = 13 to j, which gives j = 82.\n\nThus, the final answer is j = \\boxed{82}.",
"index": 25266,
"question": "Consider a system of variables where each variable is defined as follows: z = e + 19; n = e + 18; d = o + 18; v = z + 9; o = v + 3; u = q + 5; y = l + 3; l = u + 18; g = y + 3; q = n + 11; c = d + 14; j = c + 6; e = 13. If e = 13, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"a": "h + 18", "g": "a + 11", "s": "g + 10", "z": "s + 13", "v": "z + 20", "e": "v + 7", "y": "h + 14", "u": "y + 15", "n": "u + 17", "w": "n + 14", "r": "w + 13", "j": "r + 5", "h": 3}, "premises": {"h": 3}, "target": "e"}, "answer": {"steps": [["v", "z + 20", "z + 27"], ["z", "s + 13", "s + 40"], ["s", "g + 10", "g + 50"], ["g", "a + 11", "a + 61"], ["a", "h + 18", "h + 79"], ["h", 3, "82"]], "target_var_name": "e", "target_value": 82, "value_dict": {"h": 3}, "is_reverse": true}}
| 25,267
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = z + 20; s = g + 10; a = h + 18; h = 3; n = u + 17; w = n + 14; z = s + 13; j = r + 5; u = y + 15; e = v + 7; g = a + 11; r = w + 13; y = h + 14. If h = 3, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = z + 20 to e, which gives e = z + 27.\n2. Substitute z = s + 13 to e, which gives e = s + 40.\n3. Substitute s = g + 10 to e, which gives e = g + 50.\n4. Substitute g = a + 11 to e, which gives e = a + 61.\n5. Substitute a = h + 18 to e, which gives e = h + 79.\n6. Substitute h = 3 to e, which gives e = 82.\n\nThus, the final answer is e = \\boxed{82}.",
"index": 25267,
"question": "Consider a system of variables where each variable is defined as follows: v = z + 20; s = g + 10; a = h + 18; h = 3; n = u + 17; w = n + 14; z = s + 13; j = r + 5; u = y + 15; e = v + 7; g = a + 11; r = w + 13; y = h + 14. If h = 3, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"l": "h + 18", "u": "l + 18", "j": "u + 10", "w": "j + 17", "b": "w + 1", "v": "b + 17", "d": "h + 3", "r": "d + 3", "p": "r + 15", "a": "p + 12", "o": "a + 3", "k": "o + 12", "h": 11}, "premises": {"h": 11}, "target": "v"}, "answer": {"steps": [["b", "w + 1", "w + 18"], ["w", "j + 17", "j + 35"], ["j", "u + 10", "u + 45"], ["u", "l + 18", "l + 63"], ["l", "h + 18", "h + 81"], ["h", 11, "92"]], "target_var_name": "v", "target_value": 92, "value_dict": {"h": 11}, "is_reverse": true}}
| 25,268
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = r + 15; w = j + 17; r = d + 3; u = l + 18; l = h + 18; j = u + 10; v = b + 17; k = o + 12; h = 11; b = w + 1; o = a + 3; d = h + 3; a = p + 12. Given that h = 11, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = w + 1 to v, which gives v = w + 18.\n2. Substitute w = j + 17 to v, which gives v = j + 35.\n3. Substitute j = u + 10 to v, which gives v = u + 45.\n4. Substitute u = l + 18 to v, which gives v = l + 63.\n5. Substitute l = h + 18 to v, which gives v = h + 81.\n6. Substitute h = 11 to v, which gives v = 92.\n\nThus, the final answer is v = \\boxed{92}.",
"index": 25268,
"question": "Suppose a collection of variables is related by the following definitions: p = r + 15; w = j + 17; r = d + 3; u = l + 18; l = h + 18; j = u + 10; v = b + 17; k = o + 12; h = 11; b = w + 1; o = a + 3; d = h + 3; a = p + 12. Given that h = 11, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"a": "s + 9", "u": "a + 3", "n": "u + 16", "y": "n + 9", "g": "y + 17", "p": "g + 7", "x": "s + 6", "b": "x + 6", "r": "b + 8", "f": "r + 11", "c": "f + 6", "z": "c + 7", "s": 13}, "premises": {"s": 13}, "target": "p"}, "answer": {"steps": [["g", "y + 17", "y + 24"], ["y", "n + 9", "n + 33"], ["n", "u + 16", "u + 49"], ["u", "a + 3", "a + 52"], ["a", "s + 9", "s + 61"], ["s", 13, "74"]], "target_var_name": "p", "target_value": 74, "value_dict": {"s": 13}, "is_reverse": true}}
| 25,269
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = 13; c = f + 6; g = y + 17; f = r + 11; p = g + 7; a = s + 9; x = s + 6; b = x + 6; r = b + 8; z = c + 7; y = n + 9; u = a + 3; n = u + 16. If s = 13, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = y + 17 to p, which gives p = y + 24.\n2. Substitute y = n + 9 to p, which gives p = n + 33.\n3. Substitute n = u + 16 to p, which gives p = u + 49.\n4. Substitute u = a + 3 to p, which gives p = a + 52.\n5. Substitute a = s + 9 to p, which gives p = s + 61.\n6. Substitute s = 13 to p, which gives p = 74.\n\nThus, the final answer is p = \\boxed{74}.",
"index": 25269,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = 13; c = f + 6; g = y + 17; f = r + 11; p = g + 7; a = s + 9; x = s + 6; b = x + 6; r = b + 8; z = c + 7; y = n + 9; u = a + 3; n = u + 16. If s = 13, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"k": "f + 20", "h": "k + 5", "x": "h + 12", "z": "x + 5", "m": "z + 9", "u": "m + 11", "b": "f + 13", "s": "b + 2", "i": "s + 17", "a": "i + 10", "q": "a + 1", "l": "q + 14", "f": 20}, "premises": {"f": 20}, "target": "u"}, "answer": {"steps": [["m", "z + 9", "z + 20"], ["z", "x + 5", "x + 25"], ["x", "h + 12", "h + 37"], ["h", "k + 5", "k + 42"], ["k", "f + 20", "f + 62"], ["f", 20, "82"]], "target_var_name": "u", "target_value": 82, "value_dict": {"f": 20}, "is_reverse": true}}
| 25,270
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = s + 17; x = h + 12; f = 20; q = a + 1; h = k + 5; l = q + 14; z = x + 5; a = i + 10; s = b + 2; m = z + 9; u = m + 11; k = f + 20; b = f + 13. If f = 20, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = z + 9 to u, which gives u = z + 20.\n2. Substitute z = x + 5 to u, which gives u = x + 25.\n3. Substitute x = h + 12 to u, which gives u = h + 37.\n4. Substitute h = k + 5 to u, which gives u = k + 42.\n5. Substitute k = f + 20 to u, which gives u = f + 62.\n6. Substitute f = 20 to u, which gives u = 82.\n\nThus, the final answer is u = \\boxed{82}.",
"index": 25270,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = s + 17; x = h + 12; f = 20; q = a + 1; h = k + 5; l = q + 14; z = x + 5; a = i + 10; s = b + 2; m = z + 9; u = m + 11; k = f + 20; b = f + 13. If f = 20, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"x": "l + 19", "w": "x + 17", "b": "w + 14", "z": "b + 12", "d": "z + 15", "r": "d + 5", "c": "l + 1", "h": "c + 10", "o": "h + 3", "a": "o + 12", "f": "a + 14", "t": "f + 12", "l": 15}, "premises": {"l": 15}, "target": "r"}, "answer": {"steps": [["d", "z + 15", "z + 20"], ["z", "b + 12", "b + 32"], ["b", "w + 14", "w + 46"], ["w", "x + 17", "x + 63"], ["x", "l + 19", "l + 82"], ["l", 15, "97"]], "target_var_name": "r", "target_value": 97, "value_dict": {"l": 15}, "is_reverse": true}}
| 25,271
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = o + 12; f = a + 14; z = b + 12; c = l + 1; h = c + 10; w = x + 17; t = f + 12; r = d + 5; x = l + 19; o = h + 3; l = 15; b = w + 14; d = z + 15. If l = 15, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 97,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = z + 15 to r, which gives r = z + 20.\n2. Substitute z = b + 12 to r, which gives r = b + 32.\n3. Substitute b = w + 14 to r, which gives r = w + 46.\n4. Substitute w = x + 17 to r, which gives r = x + 63.\n5. Substitute x = l + 19 to r, which gives r = l + 82.\n6. Substitute l = 15 to r, which gives r = 97.\n\nThus, the final answer is r = \\boxed{97}.",
"index": 25271,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = o + 12; f = a + 14; z = b + 12; c = l + 1; h = c + 10; w = x + 17; t = f + 12; r = d + 5; x = l + 19; o = h + 3; l = 15; b = w + 14; d = z + 15. If l = 15, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"u": "r + 3", "y": "u + 12", "q": "y + 16", "p": "q + 18", "v": "p + 4", "n": "v + 14", "g": "r + 18", "x": "g + 8", "s": "x + 6", "i": "s + 16", "h": "i + 2", "z": "h + 10", "r": 13}, "premises": {"r": 13}, "target": "n"}, "answer": {"steps": [["v", "p + 4", "p + 18"], ["p", "q + 18", "q + 36"], ["q", "y + 16", "y + 52"], ["y", "u + 12", "u + 64"], ["u", "r + 3", "r + 67"], ["r", 13, "80"]], "target_var_name": "n", "target_value": 80, "value_dict": {"r": 13}, "is_reverse": true}}
| 25,272
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = g + 8; s = x + 6; h = i + 2; g = r + 18; i = s + 16; u = r + 3; z = h + 10; r = 13; p = q + 18; v = p + 4; y = u + 12; n = v + 14; q = y + 16. If r = 13, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = p + 4 to n, which gives n = p + 18.\n2. Substitute p = q + 18 to n, which gives n = q + 36.\n3. Substitute q = y + 16 to n, which gives n = y + 52.\n4. Substitute y = u + 12 to n, which gives n = u + 64.\n5. Substitute u = r + 3 to n, which gives n = r + 67.\n6. Substitute r = 13 to n, which gives n = 80.\n\nThus, the final answer is n = \\boxed{80}.",
"index": 25272,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = g + 8; s = x + 6; h = i + 2; g = r + 18; i = s + 16; u = r + 3; z = h + 10; r = 13; p = q + 18; v = p + 4; y = u + 12; n = v + 14; q = y + 16. If r = 13, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"r": "m + 5", "v": "r + 18", "y": "v + 10", "b": "y + 2", "q": "b + 11", "s": "q + 17", "e": "m + 9", "o": "e + 20", "n": "o + 9", "l": "n + 17", "g": "l + 17", "t": "g + 9", "m": 19}, "premises": {"m": 19}, "target": "s"}, "answer": {"steps": [["q", "b + 11", "b + 28"], ["b", "y + 2", "y + 30"], ["y", "v + 10", "v + 40"], ["v", "r + 18", "r + 58"], ["r", "m + 5", "m + 63"], ["m", 19, "82"]], "target_var_name": "s", "target_value": 82, "value_dict": {"m": 19}, "is_reverse": true}}
| 25,273
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = v + 10; v = r + 18; q = b + 11; t = g + 9; o = e + 20; g = l + 17; m = 19; n = o + 9; e = m + 9; r = m + 5; l = n + 17; s = q + 17; b = y + 2. Given that m = 19, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = b + 11 to s, which gives s = b + 28.\n2. Substitute b = y + 2 to s, which gives s = y + 30.\n3. Substitute y = v + 10 to s, which gives s = v + 40.\n4. Substitute v = r + 18 to s, which gives s = r + 58.\n5. Substitute r = m + 5 to s, which gives s = m + 63.\n6. Substitute m = 19 to s, which gives s = 82.\n\nThus, the final answer is s = \\boxed{82}.",
"index": 25273,
"question": "Suppose a collection of variables is related by the following definitions: y = v + 10; v = r + 18; q = b + 11; t = g + 9; o = e + 20; g = l + 17; m = 19; n = o + 9; e = m + 9; r = m + 5; l = n + 17; s = q + 17; b = y + 2. Given that m = 19, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"c": "e + 13", "n": "c + 9", "h": "n + 10", "x": "h + 16", "b": "x + 1", "v": "b + 14", "f": "e + 16", "p": "f + 14", "k": "p + 2", "o": "k + 18", "j": "o + 17", "s": "j + 5", "e": 18}, "premises": {"e": 18}, "target": "v"}, "answer": {"steps": [["b", "x + 1", "x + 15"], ["x", "h + 16", "h + 31"], ["h", "n + 10", "n + 41"], ["n", "c + 9", "c + 50"], ["c", "e + 13", "e + 63"], ["e", 18, "81"]], "target_var_name": "v", "target_value": 81, "value_dict": {"e": 18}, "is_reverse": true}}
| 25,274
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = f + 14; v = b + 14; f = e + 16; b = x + 1; h = n + 10; e = 18; k = p + 2; n = c + 9; o = k + 18; j = o + 17; x = h + 16; s = j + 5; c = e + 13. If e = 18, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = x + 1 to v, which gives v = x + 15.\n2. Substitute x = h + 16 to v, which gives v = h + 31.\n3. Substitute h = n + 10 to v, which gives v = n + 41.\n4. Substitute n = c + 9 to v, which gives v = c + 50.\n5. Substitute c = e + 13 to v, which gives v = e + 63.\n6. Substitute e = 18 to v, which gives v = 81.\n\nThus, the final answer is v = \\boxed{81}.",
"index": 25274,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = f + 14; v = b + 14; f = e + 16; b = x + 1; h = n + 10; e = 18; k = p + 2; n = c + 9; o = k + 18; j = o + 17; x = h + 16; s = j + 5; c = e + 13. If e = 18, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"s": "d + 20", "t": "s + 6", "m": "t + 18", "k": "m + 13", "l": "k + 15", "i": "l + 2", "c": "d + 2", "a": "c + 16", "o": "a + 17", "v": "o + 14", "p": "v + 14", "y": "p + 14", "d": 3}, "premises": {"d": 3}, "target": "i"}, "answer": {"steps": [["l", "k + 15", "k + 17"], ["k", "m + 13", "m + 30"], ["m", "t + 18", "t + 48"], ["t", "s + 6", "s + 54"], ["s", "d + 20", "d + 74"], ["d", 3, "77"]], "target_var_name": "i", "target_value": 77, "value_dict": {"d": 3}, "is_reverse": true}}
| 25,275
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = a + 17; y = p + 14; s = d + 20; l = k + 15; a = c + 16; t = s + 6; k = m + 13; d = 3; m = t + 18; p = v + 14; v = o + 14; c = d + 2; i = l + 2. If d = 3, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = k + 15 to i, which gives i = k + 17.\n2. Substitute k = m + 13 to i, which gives i = m + 30.\n3. Substitute m = t + 18 to i, which gives i = t + 48.\n4. Substitute t = s + 6 to i, which gives i = s + 54.\n5. Substitute s = d + 20 to i, which gives i = d + 74.\n6. Substitute d = 3 to i, which gives i = 77.\n\nThus, the final answer is i = \\boxed{77}.",
"index": 25275,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = a + 17; y = p + 14; s = d + 20; l = k + 15; a = c + 16; t = s + 6; k = m + 13; d = 3; m = t + 18; p = v + 14; v = o + 14; c = d + 2; i = l + 2. If d = 3, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"e": "l + 19", "h": "e + 12", "x": "h + 4", "w": "x + 7", "k": "w + 17", "v": "k + 3", "f": "l + 12", "z": "f + 5", "p": "z + 2", "j": "p + 15", "y": "j + 5", "u": "y + 15", "l": 14}, "premises": {"l": 14}, "target": "v"}, "answer": {"steps": [["k", "w + 17", "w + 20"], ["w", "x + 7", "x + 27"], ["x", "h + 4", "h + 31"], ["h", "e + 12", "e + 43"], ["e", "l + 19", "l + 62"], ["l", 14, "76"]], "target_var_name": "v", "target_value": 76, "value_dict": {"l": 14}, "is_reverse": true}}
| 25,276
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = k + 3; u = y + 15; j = p + 15; h = e + 12; w = x + 7; l = 14; e = l + 19; x = h + 4; p = z + 2; z = f + 5; f = l + 12; k = w + 17; y = j + 5. If l = 14, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = w + 17 to v, which gives v = w + 20.\n2. Substitute w = x + 7 to v, which gives v = x + 27.\n3. Substitute x = h + 4 to v, which gives v = h + 31.\n4. Substitute h = e + 12 to v, which gives v = e + 43.\n5. Substitute e = l + 19 to v, which gives v = l + 62.\n6. Substitute l = 14 to v, which gives v = 76.\n\nThus, the final answer is v = \\boxed{76}.",
"index": 25276,
"question": "Consider a system of variables where each variable is defined as follows: v = k + 3; u = y + 15; j = p + 15; h = e + 12; w = x + 7; l = 14; e = l + 19; x = h + 4; p = z + 2; z = f + 5; f = l + 12; k = w + 17; y = j + 5. If l = 14, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"x": "u + 16", "f": "x + 16", "r": "f + 20", "b": "r + 18", "e": "b + 3", "t": "e + 1", "n": "u + 20", "i": "n + 8", "w": "i + 12", "m": "w + 1", "q": "m + 17", "j": "q + 15", "u": 11}, "premises": {"u": 11}, "target": "t"}, "answer": {"steps": [["e", "b + 3", "b + 4"], ["b", "r + 18", "r + 22"], ["r", "f + 20", "f + 42"], ["f", "x + 16", "x + 58"], ["x", "u + 16", "u + 74"], ["u", 11, "85"]], "target_var_name": "t", "target_value": 85, "value_dict": {"u": 11}, "is_reverse": true}}
| 25,277
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = m + 17; b = r + 18; i = n + 8; j = q + 15; t = e + 1; f = x + 16; e = b + 3; w = i + 12; u = 11; x = u + 16; m = w + 1; n = u + 20; r = f + 20. Given that u = 11, find 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 e = b + 3 to t, which gives t = b + 4.\n2. Substitute b = r + 18 to t, which gives t = r + 22.\n3. Substitute r = f + 20 to t, which gives t = f + 42.\n4. Substitute f = x + 16 to t, which gives t = x + 58.\n5. Substitute x = u + 16 to t, which gives t = u + 74.\n6. Substitute u = 11 to t, which gives t = 85.\n\nThus, the final answer is t = \\boxed{85}.",
"index": 25277,
"question": "Suppose a collection of variables is related by the following definitions: q = m + 17; b = r + 18; i = n + 8; j = q + 15; t = e + 1; f = x + 16; e = b + 3; w = i + 12; u = 11; x = u + 16; m = w + 1; n = u + 20; r = f + 20. Given that u = 11, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"x": "s + 4", "b": "x + 7", "c": "b + 20", "t": "c + 1", "h": "t + 13", "g": "h + 2", "n": "s + 1", "a": "n + 2", "z": "a + 9", "r": "z + 8", "j": "r + 10", "w": "j + 9", "s": 14}, "premises": {"s": 14}, "target": "g"}, "answer": {"steps": [["h", "t + 13", "t + 15"], ["t", "c + 1", "c + 16"], ["c", "b + 20", "b + 36"], ["b", "x + 7", "x + 43"], ["x", "s + 4", "s + 47"], ["s", 14, "61"]], "target_var_name": "g", "target_value": 61, "value_dict": {"s": 14}, "is_reverse": true}}
| 25,278
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = j + 9; r = z + 8; h = t + 13; g = h + 2; z = a + 9; x = s + 4; b = x + 7; a = n + 2; t = c + 1; j = r + 10; c = b + 20; n = s + 1; s = 14. If s = 14, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = t + 13 to g, which gives g = t + 15.\n2. Substitute t = c + 1 to g, which gives g = c + 16.\n3. Substitute c = b + 20 to g, which gives g = b + 36.\n4. Substitute b = x + 7 to g, which gives g = x + 43.\n5. Substitute x = s + 4 to g, which gives g = s + 47.\n6. Substitute s = 14 to g, which gives g = 61.\n\nThus, the final answer is g = \\boxed{61}.",
"index": 25278,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = j + 9; r = z + 8; h = t + 13; g = h + 2; z = a + 9; x = s + 4; b = x + 7; a = n + 2; t = c + 1; j = r + 10; c = b + 20; n = s + 1; s = 14. If s = 14, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"u": "b + 1", "m": "u + 6", "i": "m + 13", "x": "i + 7", "v": "x + 14", "k": "v + 19", "j": "b + 9", "e": "j + 14", "q": "e + 7", "z": "q + 17", "l": "z + 11", "f": "l + 1", "b": 9}, "premises": {"b": 9}, "target": "k"}, "answer": {"steps": [["v", "x + 14", "x + 33"], ["x", "i + 7", "i + 40"], ["i", "m + 13", "m + 53"], ["m", "u + 6", "u + 59"], ["u", "b + 1", "b + 60"], ["b", 9, "69"]], "target_var_name": "k", "target_value": 69, "value_dict": {"b": 9}, "is_reverse": true}}
| 25,279
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = v + 19; u = b + 1; q = e + 7; l = z + 11; i = m + 13; f = l + 1; z = q + 17; x = i + 7; m = u + 6; e = j + 14; j = b + 9; b = 9; v = x + 14. If b = 9, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = x + 14 to k, which gives k = x + 33.\n2. Substitute x = i + 7 to k, which gives k = i + 40.\n3. Substitute i = m + 13 to k, which gives k = m + 53.\n4. Substitute m = u + 6 to k, which gives k = u + 59.\n5. Substitute u = b + 1 to k, which gives k = b + 60.\n6. Substitute b = 9 to k, which gives k = 69.\n\nThus, the final answer is k = \\boxed{69}.",
"index": 25279,
"question": "Consider a system of variables where each variable is defined as follows: k = v + 19; u = b + 1; q = e + 7; l = z + 11; i = m + 13; f = l + 1; z = q + 17; x = i + 7; m = u + 6; e = j + 14; j = b + 9; b = 9; v = x + 14. If b = 9, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"d": "c + 4", "e": "d + 11", "t": "e + 9", "u": "t + 15", "a": "u + 8", "v": "a + 20", "z": "c + 8", "g": "z + 19", "w": "g + 7", "b": "w + 11", "y": "b + 9", "s": "y + 19", "c": 3}, "premises": {"c": 3}, "target": "v"}, "answer": {"steps": [["a", "u + 8", "u + 28"], ["u", "t + 15", "t + 43"], ["t", "e + 9", "e + 52"], ["e", "d + 11", "d + 63"], ["d", "c + 4", "c + 67"], ["c", 3, "70"]], "target_var_name": "v", "target_value": 70, "value_dict": {"c": 3}, "is_reverse": true}}
| 25,280
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = 3; y = b + 9; z = c + 8; v = a + 20; e = d + 11; g = z + 19; u = t + 15; w = g + 7; b = w + 11; d = c + 4; t = e + 9; a = u + 8; s = y + 19. Given that c = 3, find 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 a = u + 8 to v, which gives v = u + 28.\n2. Substitute u = t + 15 to v, which gives v = t + 43.\n3. Substitute t = e + 9 to v, which gives v = e + 52.\n4. Substitute e = d + 11 to v, which gives v = d + 63.\n5. Substitute d = c + 4 to v, which gives v = c + 67.\n6. Substitute c = 3 to v, which gives v = 70.\n\nThus, the final answer is v = \\boxed{70}.",
"index": 25280,
"question": "Suppose a collection of variables is related by the following definitions: c = 3; y = b + 9; z = c + 8; v = a + 20; e = d + 11; g = z + 19; u = t + 15; w = g + 7; b = w + 11; d = c + 4; t = e + 9; a = u + 8; s = y + 19. Given that c = 3, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"q": "d + 4", "c": "q + 4", "j": "c + 6", "g": "j + 4", "m": "g + 4", "k": "m + 5", "y": "d + 16", "p": "y + 9", "i": "p + 2", "a": "i + 18", "v": "a + 17", "w": "v + 12", "d": 4}, "premises": {"d": 4}, "target": "k"}, "answer": {"steps": [["m", "g + 4", "g + 9"], ["g", "j + 4", "j + 13"], ["j", "c + 6", "c + 19"], ["c", "q + 4", "q + 23"], ["q", "d + 4", "d + 27"], ["d", 4, "31"]], "target_var_name": "k", "target_value": 31, "value_dict": {"d": 4}, "is_reverse": true}}
| 25,281
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = j + 4; w = v + 12; q = d + 4; p = y + 9; m = g + 4; j = c + 6; i = p + 2; a = i + 18; d = 4; v = a + 17; y = d + 16; k = m + 5; c = q + 4. If d = 4, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 31,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = g + 4 to k, which gives k = g + 9.\n2. Substitute g = j + 4 to k, which gives k = j + 13.\n3. Substitute j = c + 6 to k, which gives k = c + 19.\n4. Substitute c = q + 4 to k, which gives k = q + 23.\n5. Substitute q = d + 4 to k, which gives k = d + 27.\n6. Substitute d = 4 to k, which gives k = 31.\n\nThus, the final answer is k = \\boxed{31}.",
"index": 25281,
"question": "Consider a system of variables where each variable is defined as follows: g = j + 4; w = v + 12; q = d + 4; p = y + 9; m = g + 4; j = c + 6; i = p + 2; a = i + 18; d = 4; v = a + 17; y = d + 16; k = m + 5; c = q + 4. If d = 4, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"o": "s + 9", "f": "o + 7", "d": "f + 12", "x": "d + 20", "u": "x + 11", "k": "u + 6", "m": "s + 18", "c": "m + 15", "a": "c + 16", "e": "a + 15", "q": "e + 5", "y": "q + 2", "s": 6}, "premises": {"s": 6}, "target": "k"}, "answer": {"steps": [["u", "x + 11", "x + 17"], ["x", "d + 20", "d + 37"], ["d", "f + 12", "f + 49"], ["f", "o + 7", "o + 56"], ["o", "s + 9", "s + 65"], ["s", 6, "71"]], "target_var_name": "k", "target_value": 71, "value_dict": {"s": 6}, "is_reverse": true}}
| 25,282
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = q + 2; e = a + 15; s = 6; a = c + 16; q = e + 5; f = o + 7; x = d + 20; c = m + 15; k = u + 6; o = s + 9; u = x + 11; d = f + 12; m = s + 18. If s = 6, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = x + 11 to k, which gives k = x + 17.\n2. Substitute x = d + 20 to k, which gives k = d + 37.\n3. Substitute d = f + 12 to k, which gives k = f + 49.\n4. Substitute f = o + 7 to k, which gives k = o + 56.\n5. Substitute o = s + 9 to k, which gives k = s + 65.\n6. Substitute s = 6 to k, which gives k = 71.\n\nThus, the final answer is k = \\boxed{71}.",
"index": 25282,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = q + 2; e = a + 15; s = 6; a = c + 16; q = e + 5; f = o + 7; x = d + 20; c = m + 15; k = u + 6; o = s + 9; u = x + 11; d = f + 12; m = s + 18. If s = 6, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"t": "r + 9", "w": "t + 5", "v": "w + 2", "q": "v + 19", "l": "q + 3", "x": "l + 13", "c": "r + 14", "a": "c + 3", "g": "a + 19", "h": "g + 14", "j": "h + 15", "n": "j + 13", "r": 7}, "premises": {"r": 7}, "target": "x"}, "answer": {"steps": [["l", "q + 3", "q + 16"], ["q", "v + 19", "v + 35"], ["v", "w + 2", "w + 37"], ["w", "t + 5", "t + 42"], ["t", "r + 9", "r + 51"], ["r", 7, "58"]], "target_var_name": "x", "target_value": 58, "value_dict": {"r": 7}, "is_reverse": true}}
| 25,283
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = l + 13; w = t + 5; g = a + 19; c = r + 14; j = h + 15; q = v + 19; l = q + 3; v = w + 2; n = j + 13; r = 7; h = g + 14; t = r + 9; a = c + 3. If r = 7, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = q + 3 to x, which gives x = q + 16.\n2. Substitute q = v + 19 to x, which gives x = v + 35.\n3. Substitute v = w + 2 to x, which gives x = w + 37.\n4. Substitute w = t + 5 to x, which gives x = t + 42.\n5. Substitute t = r + 9 to x, which gives x = r + 51.\n6. Substitute r = 7 to x, which gives x = 58.\n\nThus, the final answer is x = \\boxed{58}.",
"index": 25283,
"question": "Consider a system of variables where each variable is defined as follows: x = l + 13; w = t + 5; g = a + 19; c = r + 14; j = h + 15; q = v + 19; l = q + 3; v = w + 2; n = j + 13; r = 7; h = g + 14; t = r + 9; a = c + 3. If r = 7, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"f": "w + 8", "b": "f + 3", "i": "b + 1", "o": "i + 20", "n": "o + 1", "s": "n + 18", "h": "w + 2", "p": "h + 8", "e": "p + 18", "g": "e + 14", "k": "g + 19", "r": "k + 3", "w": 19}, "premises": {"w": 19}, "target": "s"}, "answer": {"steps": [["n", "o + 1", "o + 19"], ["o", "i + 20", "i + 39"], ["i", "b + 1", "b + 40"], ["b", "f + 3", "f + 43"], ["f", "w + 8", "w + 51"], ["w", 19, "70"]], "target_var_name": "s", "target_value": 70, "value_dict": {"w": 19}, "is_reverse": true}}
| 25,284
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = g + 19; g = e + 14; f = w + 8; r = k + 3; p = h + 8; e = p + 18; i = b + 1; s = n + 18; w = 19; b = f + 3; n = o + 1; o = i + 20; h = w + 2. Given that w = 19, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = o + 1 to s, which gives s = o + 19.\n2. Substitute o = i + 20 to s, which gives s = i + 39.\n3. Substitute i = b + 1 to s, which gives s = b + 40.\n4. Substitute b = f + 3 to s, which gives s = f + 43.\n5. Substitute f = w + 8 to s, which gives s = w + 51.\n6. Substitute w = 19 to s, which gives s = 70.\n\nThus, the final answer is s = \\boxed{70}.",
"index": 25284,
"question": "Suppose a collection of variables is related by the following definitions: k = g + 19; g = e + 14; f = w + 8; r = k + 3; p = h + 8; e = p + 18; i = b + 1; s = n + 18; w = 19; b = f + 3; n = o + 1; o = i + 20; h = w + 2. Given that w = 19, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"m": "p + 6", "v": "m + 3", "t": "v + 20", "z": "t + 15", "g": "z + 7", "h": "g + 10", "y": "p + 20", "d": "y + 14", "b": "d + 13", "k": "b + 16", "r": "k + 6", "l": "r + 15", "p": 9}, "premises": {"p": 9}, "target": "h"}, "answer": {"steps": [["g", "z + 7", "z + 17"], ["z", "t + 15", "t + 32"], ["t", "v + 20", "v + 52"], ["v", "m + 3", "m + 55"], ["m", "p + 6", "p + 61"], ["p", 9, "70"]], "target_var_name": "h", "target_value": 70, "value_dict": {"p": 9}, "is_reverse": true}}
| 25,285
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = m + 3; b = d + 13; k = b + 16; m = p + 6; r = k + 6; p = 9; t = v + 20; l = r + 15; y = p + 20; g = z + 7; z = t + 15; h = g + 10; d = y + 14. If p = 9, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = z + 7 to h, which gives h = z + 17.\n2. Substitute z = t + 15 to h, which gives h = t + 32.\n3. Substitute t = v + 20 to h, which gives h = v + 52.\n4. Substitute v = m + 3 to h, which gives h = m + 55.\n5. Substitute m = p + 6 to h, which gives h = p + 61.\n6. Substitute p = 9 to h, which gives h = 70.\n\nThus, the final answer is h = \\boxed{70}.",
"index": 25285,
"question": "Consider a system of variables where each variable is defined as follows: v = m + 3; b = d + 13; k = b + 16; m = p + 6; r = k + 6; p = 9; t = v + 20; l = r + 15; y = p + 20; g = z + 7; z = t + 15; h = g + 10; d = y + 14. If p = 9, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"y": "c + 13", "p": "y + 13", "z": "p + 2", "e": "z + 9", "x": "e + 18", "d": "x + 3", "u": "c + 2", "l": "u + 5", "h": "l + 18", "s": "h + 13", "g": "s + 11", "a": "g + 13", "c": 8}, "premises": {"c": 8}, "target": "d"}, "answer": {"steps": [["x", "e + 18", "e + 21"], ["e", "z + 9", "z + 30"], ["z", "p + 2", "p + 32"], ["p", "y + 13", "y + 45"], ["y", "c + 13", "c + 58"], ["c", 8, "66"]], "target_var_name": "d", "target_value": 66, "value_dict": {"c": 8}, "is_reverse": true}}
| 25,286
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = p + 2; a = g + 13; p = y + 13; e = z + 9; g = s + 11; x = e + 18; h = l + 18; d = x + 3; c = 8; y = c + 13; l = u + 5; s = h + 13; u = c + 2. If c = 8, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = e + 18 to d, which gives d = e + 21.\n2. Substitute e = z + 9 to d, which gives d = z + 30.\n3. Substitute z = p + 2 to d, which gives d = p + 32.\n4. Substitute p = y + 13 to d, which gives d = y + 45.\n5. Substitute y = c + 13 to d, which gives d = c + 58.\n6. Substitute c = 8 to d, which gives d = 66.\n\nThus, the final answer is d = \\boxed{66}.",
"index": 25286,
"question": "Consider a system of variables where each variable is defined as follows: z = p + 2; a = g + 13; p = y + 13; e = z + 9; g = s + 11; x = e + 18; h = l + 18; d = x + 3; c = 8; y = c + 13; l = u + 5; s = h + 13; u = c + 2. If c = 8, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"d": "n + 13", "o": "d + 4", "t": "o + 12", "w": "t + 12", "a": "w + 6", "g": "a + 19", "v": "n + 8", "s": "v + 1", "p": "s + 1", "x": "p + 18", "b": "x + 14", "e": "b + 12", "n": 15}, "premises": {"n": 15}, "target": "g"}, "answer": {"steps": [["a", "w + 6", "w + 25"], ["w", "t + 12", "t + 37"], ["t", "o + 12", "o + 49"], ["o", "d + 4", "d + 53"], ["d", "n + 13", "n + 66"], ["n", 15, "81"]], "target_var_name": "g", "target_value": 81, "value_dict": {"n": 15}, "is_reverse": true}}
| 25,287
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = x + 14; w = t + 12; o = d + 4; g = a + 19; v = n + 8; x = p + 18; a = w + 6; s = v + 1; t = o + 12; p = s + 1; d = n + 13; n = 15; e = b + 12. If n = 15, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = w + 6 to g, which gives g = w + 25.\n2. Substitute w = t + 12 to g, which gives g = t + 37.\n3. Substitute t = o + 12 to g, which gives g = o + 49.\n4. Substitute o = d + 4 to g, which gives g = d + 53.\n5. Substitute d = n + 13 to g, which gives g = n + 66.\n6. Substitute n = 15 to g, which gives g = 81.\n\nThus, the final answer is g = \\boxed{81}.",
"index": 25287,
"question": "Consider a system of variables where each variable is defined as follows: b = x + 14; w = t + 12; o = d + 4; g = a + 19; v = n + 8; x = p + 18; a = w + 6; s = v + 1; t = o + 12; p = s + 1; d = n + 13; n = 15; e = b + 12. If n = 15, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"h": "y + 11", "k": "h + 16", "s": "k + 14", "r": "s + 5", "l": "r + 17", "e": "l + 8", "t": "y + 14", "z": "t + 20", "w": "z + 9", "a": "w + 14", "c": "a + 12", "o": "c + 12", "y": 13}, "premises": {"y": 13}, "target": "e"}, "answer": {"steps": [["l", "r + 17", "r + 25"], ["r", "s + 5", "s + 30"], ["s", "k + 14", "k + 44"], ["k", "h + 16", "h + 60"], ["h", "y + 11", "y + 71"], ["y", 13, "84"]], "target_var_name": "e", "target_value": 84, "value_dict": {"y": 13}, "is_reverse": true}}
| 25,288
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = z + 9; l = r + 17; o = c + 12; r = s + 5; h = y + 11; k = h + 16; z = t + 20; t = y + 14; a = w + 14; y = 13; c = a + 12; s = k + 14; e = l + 8. If y = 13, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = r + 17 to e, which gives e = r + 25.\n2. Substitute r = s + 5 to e, which gives e = s + 30.\n3. Substitute s = k + 14 to e, which gives e = k + 44.\n4. Substitute k = h + 16 to e, which gives e = h + 60.\n5. Substitute h = y + 11 to e, which gives e = y + 71.\n6. Substitute y = 13 to e, which gives e = 84.\n\nThus, the final answer is e = \\boxed{84}.",
"index": 25288,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = z + 9; l = r + 17; o = c + 12; r = s + 5; h = y + 11; k = h + 16; z = t + 20; t = y + 14; a = w + 14; y = 13; c = a + 12; s = k + 14; e = l + 8. If y = 13, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"q": "s + 2", "a": "q + 19", "j": "a + 16", "t": "j + 9", "g": "t + 16", "o": "g + 6", "e": "s + 8", "l": "e + 17", "d": "l + 15", "k": "d + 16", "m": "k + 11", "v": "m + 15", "s": 8}, "premises": {"s": 8}, "target": "o"}, "answer": {"steps": [["g", "t + 16", "t + 22"], ["t", "j + 9", "j + 31"], ["j", "a + 16", "a + 47"], ["a", "q + 19", "q + 66"], ["q", "s + 2", "s + 68"], ["s", 8, "76"]], "target_var_name": "o", "target_value": 76, "value_dict": {"s": 8}, "is_reverse": true}}
| 25,289
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = d + 16; d = l + 15; q = s + 2; o = g + 6; a = q + 19; s = 8; v = m + 15; g = t + 16; j = a + 16; t = j + 9; l = e + 17; e = s + 8; m = k + 11. Given that s = 8, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = t + 16 to o, which gives o = t + 22.\n2. Substitute t = j + 9 to o, which gives o = j + 31.\n3. Substitute j = a + 16 to o, which gives o = a + 47.\n4. Substitute a = q + 19 to o, which gives o = q + 66.\n5. Substitute q = s + 2 to o, which gives o = s + 68.\n6. Substitute s = 8 to o, which gives o = 76.\n\nThus, the final answer is o = \\boxed{76}.",
"index": 25289,
"question": "Suppose a collection of variables is related by the following definitions: k = d + 16; d = l + 15; q = s + 2; o = g + 6; a = q + 19; s = 8; v = m + 15; g = t + 16; j = a + 16; t = j + 9; l = e + 17; e = s + 8; m = k + 11. Given that s = 8, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"b": "x + 6", "q": "b + 15", "w": "q + 16", "g": "w + 6", "s": "g + 10", "l": "s + 19", "o": "x + 5", "v": "o + 1", "n": "v + 16", "y": "n + 12", "m": "y + 8", "j": "m + 4", "x": 11}, "premises": {"x": 11}, "target": "l"}, "answer": {"steps": [["s", "g + 10", "g + 29"], ["g", "w + 6", "w + 35"], ["w", "q + 16", "q + 51"], ["q", "b + 15", "b + 66"], ["b", "x + 6", "x + 72"], ["x", 11, "83"]], "target_var_name": "l", "target_value": 83, "value_dict": {"x": 11}, "is_reverse": true}}
| 25,290
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = o + 1; q = b + 15; x = 11; l = s + 19; b = x + 6; m = y + 8; o = x + 5; g = w + 6; w = q + 16; y = n + 12; s = g + 10; n = v + 16; j = m + 4. Given that x = 11, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = g + 10 to l, which gives l = g + 29.\n2. Substitute g = w + 6 to l, which gives l = w + 35.\n3. Substitute w = q + 16 to l, which gives l = q + 51.\n4. Substitute q = b + 15 to l, which gives l = b + 66.\n5. Substitute b = x + 6 to l, which gives l = x + 72.\n6. Substitute x = 11 to l, which gives l = 83.\n\nThus, the final answer is l = \\boxed{83}.",
"index": 25290,
"question": "Suppose a collection of variables is related by the following definitions: v = o + 1; q = b + 15; x = 11; l = s + 19; b = x + 6; m = y + 8; o = x + 5; g = w + 6; w = q + 16; y = n + 12; s = g + 10; n = v + 16; j = m + 4. Given that x = 11, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"t": "y + 16", "l": "t + 14", "a": "l + 19", "f": "a + 15", "k": "f + 20", "m": "k + 20", "e": "y + 17", "s": "e + 8", "b": "s + 14", "j": "b + 13", "h": "j + 11", "c": "h + 9", "y": 14}, "premises": {"y": 14}, "target": "m"}, "answer": {"steps": [["k", "f + 20", "f + 40"], ["f", "a + 15", "a + 55"], ["a", "l + 19", "l + 74"], ["l", "t + 14", "t + 88"], ["t", "y + 16", "y + 104"], ["y", 14, "118"]], "target_var_name": "m", "target_value": 118, "value_dict": {"y": 14}, "is_reverse": true}}
| 25,291
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = l + 19; h = j + 11; j = b + 13; b = s + 14; f = a + 15; s = e + 8; e = y + 17; c = h + 9; y = 14; l = t + 14; t = y + 16; k = f + 20; m = k + 20. If y = 14, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 118,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = f + 20 to m, which gives m = f + 40.\n2. Substitute f = a + 15 to m, which gives m = a + 55.\n3. Substitute a = l + 19 to m, which gives m = l + 74.\n4. Substitute l = t + 14 to m, which gives m = t + 88.\n5. Substitute t = y + 16 to m, which gives m = y + 104.\n6. Substitute y = 14 to m, which gives m = 118.\n\nThus, the final answer is m = \\boxed{118}.",
"index": 25291,
"question": "Consider a system of variables where each variable is defined as follows: a = l + 19; h = j + 11; j = b + 13; b = s + 14; f = a + 15; s = e + 8; e = y + 17; c = h + 9; y = 14; l = t + 14; t = y + 16; k = f + 20; m = k + 20. If y = 14, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"n": "c + 1", "t": "n + 6", "s": "t + 20", "b": "s + 9", "x": "b + 10", "z": "x + 5", "y": "c + 6", "u": "y + 16", "a": "u + 7", "f": "a + 20", "k": "f + 13", "m": "k + 14", "c": 4}, "premises": {"c": 4}, "target": "z"}, "answer": {"steps": [["x", "b + 10", "b + 15"], ["b", "s + 9", "s + 24"], ["s", "t + 20", "t + 44"], ["t", "n + 6", "n + 50"], ["n", "c + 1", "c + 51"], ["c", 4, "55"]], "target_var_name": "z", "target_value": 55, "value_dict": {"c": 4}, "is_reverse": true}}
| 25,292
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = y + 16; z = x + 5; m = k + 14; k = f + 13; s = t + 20; a = u + 7; n = c + 1; b = s + 9; c = 4; x = b + 10; y = c + 6; t = n + 6; f = a + 20. If c = 4, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = b + 10 to z, which gives z = b + 15.\n2. Substitute b = s + 9 to z, which gives z = s + 24.\n3. Substitute s = t + 20 to z, which gives z = t + 44.\n4. Substitute t = n + 6 to z, which gives z = n + 50.\n5. Substitute n = c + 1 to z, which gives z = c + 51.\n6. Substitute c = 4 to z, which gives z = 55.\n\nThus, the final answer is z = \\boxed{55}.",
"index": 25292,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = y + 16; z = x + 5; m = k + 14; k = f + 13; s = t + 20; a = u + 7; n = c + 1; b = s + 9; c = 4; x = b + 10; y = c + 6; t = n + 6; f = a + 20. If c = 4, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"f": "w + 14", "k": "f + 2", "t": "k + 13", "s": "t + 7", "z": "s + 20", "x": "z + 19", "l": "w + 13", "m": "l + 7", "g": "m + 6", "u": "g + 7", "r": "u + 1", "v": "r + 2", "w": 17}, "premises": {"w": 17}, "target": "x"}, "answer": {"steps": [["z", "s + 20", "s + 39"], ["s", "t + 7", "t + 46"], ["t", "k + 13", "k + 59"], ["k", "f + 2", "f + 61"], ["f", "w + 14", "w + 75"], ["w", 17, "92"]], "target_var_name": "x", "target_value": 92, "value_dict": {"w": 17}, "is_reverse": true}}
| 25,293
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = w + 13; k = f + 2; g = m + 6; m = l + 7; f = w + 14; t = k + 13; v = r + 2; w = 17; r = u + 1; x = z + 19; s = t + 7; z = s + 20; u = g + 7. If w = 17, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = s + 20 to x, which gives x = s + 39.\n2. Substitute s = t + 7 to x, which gives x = t + 46.\n3. Substitute t = k + 13 to x, which gives x = k + 59.\n4. Substitute k = f + 2 to x, which gives x = f + 61.\n5. Substitute f = w + 14 to x, which gives x = w + 75.\n6. Substitute w = 17 to x, which gives x = 92.\n\nThus, the final answer is x = \\boxed{92}.",
"index": 25293,
"question": "Consider a system of variables where each variable is defined as follows: l = w + 13; k = f + 2; g = m + 6; m = l + 7; f = w + 14; t = k + 13; v = r + 2; w = 17; r = u + 1; x = z + 19; s = t + 7; z = s + 20; u = g + 7. If w = 17, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"l": "a + 5", "u": "l + 15", "g": "u + 18", "x": "g + 11", "v": "x + 10", "o": "v + 3", "t": "a + 18", "c": "t + 8", "y": "c + 4", "j": "y + 13", "w": "j + 3", "k": "w + 10", "a": 16}, "premises": {"a": 16}, "target": "o"}, "answer": {"steps": [["v", "x + 10", "x + 13"], ["x", "g + 11", "g + 24"], ["g", "u + 18", "u + 42"], ["u", "l + 15", "l + 57"], ["l", "a + 5", "a + 62"], ["a", 16, "78"]], "target_var_name": "o", "target_value": 78, "value_dict": {"a": 16}, "is_reverse": true}}
| 25,294
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = w + 10; x = g + 11; t = a + 18; g = u + 18; c = t + 8; u = l + 15; a = 16; j = y + 13; y = c + 4; l = a + 5; v = x + 10; w = j + 3; o = v + 3. Given that a = 16, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = x + 10 to o, which gives o = x + 13.\n2. Substitute x = g + 11 to o, which gives o = g + 24.\n3. Substitute g = u + 18 to o, which gives o = u + 42.\n4. Substitute u = l + 15 to o, which gives o = l + 57.\n5. Substitute l = a + 5 to o, which gives o = a + 62.\n6. Substitute a = 16 to o, which gives o = 78.\n\nThus, the final answer is o = \\boxed{78}.",
"index": 25294,
"question": "Suppose a collection of variables is related by the following definitions: k = w + 10; x = g + 11; t = a + 18; g = u + 18; c = t + 8; u = l + 15; a = 16; j = y + 13; y = c + 4; l = a + 5; v = x + 10; w = j + 3; o = v + 3. Given that a = 16, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"k": "o + 16", "j": "k + 11", "u": "j + 11", "y": "u + 7", "c": "y + 17", "d": "c + 2", "n": "o + 17", "l": "n + 18", "v": "l + 7", "f": "v + 3", "z": "f + 16", "p": "z + 6", "o": 19}, "premises": {"o": 19}, "target": "d"}, "answer": {"steps": [["c", "y + 17", "y + 19"], ["y", "u + 7", "u + 26"], ["u", "j + 11", "j + 37"], ["j", "k + 11", "k + 48"], ["k", "o + 16", "o + 64"], ["o", 19, "83"]], "target_var_name": "d", "target_value": 83, "value_dict": {"o": 19}, "is_reverse": true}}
| 25,295
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = f + 16; c = y + 17; p = z + 6; u = j + 11; o = 19; d = c + 2; l = n + 18; k = o + 16; n = o + 17; j = k + 11; y = u + 7; v = l + 7; f = v + 3. Given that o = 19, 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 c = y + 17 to d, which gives d = y + 19.\n2. Substitute y = u + 7 to d, which gives d = u + 26.\n3. Substitute u = j + 11 to d, which gives d = j + 37.\n4. Substitute j = k + 11 to d, which gives d = k + 48.\n5. Substitute k = o + 16 to d, which gives d = o + 64.\n6. Substitute o = 19 to d, which gives d = 83.\n\nThus, the final answer is d = \\boxed{83}.",
"index": 25295,
"question": "Suppose a collection of variables is related by the following definitions: z = f + 16; c = y + 17; p = z + 6; u = j + 11; o = 19; d = c + 2; l = n + 18; k = o + 16; n = o + 17; j = k + 11; y = u + 7; v = l + 7; f = v + 3. Given that o = 19, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"f": "c + 12", "a": "f + 15", "g": "a + 4", "t": "g + 18", "m": "t + 1", "l": "m + 9", "o": "c + 7", "j": "o + 15", "w": "j + 14", "u": "w + 5", "e": "u + 16", "x": "e + 14", "c": 12}, "premises": {"c": 12}, "target": "l"}, "answer": {"steps": [["m", "t + 1", "t + 10"], ["t", "g + 18", "g + 28"], ["g", "a + 4", "a + 32"], ["a", "f + 15", "f + 47"], ["f", "c + 12", "c + 59"], ["c", 12, "71"]], "target_var_name": "l", "target_value": 71, "value_dict": {"c": 12}, "is_reverse": true}}
| 25,296
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = c + 7; c = 12; l = m + 9; g = a + 4; m = t + 1; t = g + 18; w = j + 14; a = f + 15; f = c + 12; u = w + 5; j = o + 15; e = u + 16; x = e + 14. Given that c = 12, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = t + 1 to l, which gives l = t + 10.\n2. Substitute t = g + 18 to l, which gives l = g + 28.\n3. Substitute g = a + 4 to l, which gives l = a + 32.\n4. Substitute a = f + 15 to l, which gives l = f + 47.\n5. Substitute f = c + 12 to l, which gives l = c + 59.\n6. Substitute c = 12 to l, which gives l = 71.\n\nThus, the final answer is l = \\boxed{71}.",
"index": 25296,
"question": "Suppose a collection of variables is related by the following definitions: o = c + 7; c = 12; l = m + 9; g = a + 4; m = t + 1; t = g + 18; w = j + 14; a = f + 15; f = c + 12; u = w + 5; j = o + 15; e = u + 16; x = e + 14. Given that c = 12, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"a": "t + 6", "l": "a + 9", "u": "l + 14", "y": "u + 15", "r": "y + 2", "s": "r + 5", "w": "t + 12", "x": "w + 8", "f": "x + 17", "n": "f + 7", "c": "n + 17", "e": "c + 4", "t": 16}, "premises": {"t": 16}, "target": "s"}, "answer": {"steps": [["r", "y + 2", "y + 7"], ["y", "u + 15", "u + 22"], ["u", "l + 14", "l + 36"], ["l", "a + 9", "a + 45"], ["a", "t + 6", "t + 51"], ["t", 16, "67"]], "target_var_name": "s", "target_value": 67, "value_dict": {"t": 16}, "is_reverse": true}}
| 25,297
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = r + 5; l = a + 9; e = c + 4; n = f + 7; w = t + 12; r = y + 2; u = l + 14; y = u + 15; f = x + 17; c = n + 17; x = w + 8; a = t + 6; t = 16. If t = 16, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = y + 2 to s, which gives s = y + 7.\n2. Substitute y = u + 15 to s, which gives s = u + 22.\n3. Substitute u = l + 14 to s, which gives s = l + 36.\n4. Substitute l = a + 9 to s, which gives s = a + 45.\n5. Substitute a = t + 6 to s, which gives s = t + 51.\n6. Substitute t = 16 to s, which gives s = 67.\n\nThus, the final answer is s = \\boxed{67}.",
"index": 25297,
"question": "Consider a system of variables where each variable is defined as follows: s = r + 5; l = a + 9; e = c + 4; n = f + 7; w = t + 12; r = y + 2; u = l + 14; y = u + 15; f = x + 17; c = n + 17; x = w + 8; a = t + 6; t = 16. If t = 16, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"f": "q + 16", "x": "f + 17", "t": "x + 1", "a": "t + 2", "e": "a + 9", "w": "e + 18", "p": "q + 16", "d": "p + 4", "j": "d + 7", "k": "j + 4", "o": "k + 19", "v": "o + 9", "q": 14}, "premises": {"q": 14}, "target": "w"}, "answer": {"steps": [["e", "a + 9", "a + 27"], ["a", "t + 2", "t + 29"], ["t", "x + 1", "x + 30"], ["x", "f + 17", "f + 47"], ["f", "q + 16", "q + 63"], ["q", 14, "77"]], "target_var_name": "w", "target_value": 77, "value_dict": {"q": 14}, "is_reverse": true}}
| 25,298
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = e + 18; d = p + 4; o = k + 19; v = o + 9; p = q + 16; t = x + 1; f = q + 16; a = t + 2; k = j + 4; e = a + 9; j = d + 7; x = f + 17; q = 14. If q = 14, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = a + 9 to w, which gives w = a + 27.\n2. Substitute a = t + 2 to w, which gives w = t + 29.\n3. Substitute t = x + 1 to w, which gives w = x + 30.\n4. Substitute x = f + 17 to w, which gives w = f + 47.\n5. Substitute f = q + 16 to w, which gives w = q + 63.\n6. Substitute q = 14 to w, which gives w = 77.\n\nThus, the final answer is w = \\boxed{77}.",
"index": 25298,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = e + 18; d = p + 4; o = k + 19; v = o + 9; p = q + 16; t = x + 1; f = q + 16; a = t + 2; k = j + 4; e = a + 9; j = d + 7; x = f + 17; q = 14. If q = 14, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"w": "p + 17", "a": "w + 3", "y": "a + 7", "m": "y + 4", "v": "m + 20", "i": "v + 10", "k": "p + 9", "r": "k + 7", "s": "r + 7", "t": "s + 3", "o": "t + 14", "q": "o + 5", "p": 4}, "premises": {"p": 4}, "target": "i"}, "answer": {"steps": [["v", "m + 20", "m + 30"], ["m", "y + 4", "y + 34"], ["y", "a + 7", "a + 41"], ["a", "w + 3", "w + 44"], ["w", "p + 17", "p + 61"], ["p", 4, "65"]], "target_var_name": "i", "target_value": 65, "value_dict": {"p": 4}, "is_reverse": true}}
| 25,299
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = t + 14; q = o + 5; v = m + 20; r = k + 7; m = y + 4; y = a + 7; s = r + 7; t = s + 3; w = p + 17; a = w + 3; k = p + 9; i = v + 10; p = 4. Given that p = 4, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = m + 20 to i, which gives i = m + 30.\n2. Substitute m = y + 4 to i, which gives i = y + 34.\n3. Substitute y = a + 7 to i, which gives i = a + 41.\n4. Substitute a = w + 3 to i, which gives i = w + 44.\n5. Substitute w = p + 17 to i, which gives i = p + 61.\n6. Substitute p = 4 to i, which gives i = 65.\n\nThus, the final answer is i = \\boxed{65}.",
"index": 25299,
"question": "Suppose a collection of variables is related by the following definitions: o = t + 14; q = o + 5; v = m + 20; r = k + 7; m = y + 4; y = a + 7; s = r + 7; t = s + 3; w = p + 17; a = w + 3; k = p + 9; i = v + 10; p = 4. Given that p = 4, find the value of i.",
"split": "train"
}
|
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