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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": {"g": "v + 5", "r": "g + 13", "o": "r + 20", "d": "o + 1", "t": "d + 1", "l": "t + 4", "n": "v + 18", "h": "n + 8", "u": "h + 11", "p": "u + 12", "w": "p + 1", "x": "w + 5", "v": 12}, "premises": {"v": 12}, "target": "l"}, "answer": {"steps": [["t", "d + 1", "d + 5"], ["d", "o + 1", "o + 6"], ["o", "r + 20", "r + 26"], ["r", "g + 13", "g + 39"], ["g", "v + 5", "v + 44"], ["v", 12, "56"]], "target_var_name": "l", "target_value": 56, "value_dict": {"v": 12}, "is_reverse": true}}
| 3,600
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = v + 18; h = n + 8; r = g + 13; u = h + 11; x = w + 5; w = p + 1; t = d + 1; v = 12; l = t + 4; d = o + 1; g = v + 5; o = r + 20; p = u + 12. Given that v = 12, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = d + 1 to l, which gives l = d + 5.\n2. Substitute d = o + 1 to l, which gives l = o + 6.\n3. Substitute o = r + 20 to l, which gives l = r + 26.\n4. Substitute r = g + 13 to l, which gives l = g + 39.\n5. Substitute g = v + 5 to l, which gives l = v + 44.\n6. Substitute v = 12 to l, which gives l = 56.\n\nThus, the final answer is l = \\boxed{56}.",
"index": 3600,
"question": "Suppose a collection of variables is related by the following definitions: n = v + 18; h = n + 8; r = g + 13; u = h + 11; x = w + 5; w = p + 1; t = d + 1; v = 12; l = t + 4; d = o + 1; g = v + 5; o = r + 20; p = u + 12. Given that v = 12, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"y": "l + 5", "h": "y + 8", "w": "h + 18", "c": "w + 9", "n": "c + 16", "s": "n + 15", "j": "l + 13", "b": "j + 8", "g": "b + 5", "p": "g + 19", "d": "p + 11", "z": "d + 1", "l": 3}, "premises": {"l": 3}, "target": "s"}, "answer": {"steps": [["n", "c + 16", "c + 31"], ["c", "w + 9", "w + 40"], ["w", "h + 18", "h + 58"], ["h", "y + 8", "y + 66"], ["y", "l + 5", "l + 71"], ["l", 3, "74"]], "target_var_name": "s", "target_value": 74, "value_dict": {"l": 3}, "is_reverse": true}}
| 3,601
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = y + 8; w = h + 18; g = b + 5; y = l + 5; n = c + 16; d = p + 11; c = w + 9; l = 3; p = g + 19; z = d + 1; s = n + 15; b = j + 8; j = l + 13. Given that l = 3, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = c + 16 to s, which gives s = c + 31.\n2. Substitute c = w + 9 to s, which gives s = w + 40.\n3. Substitute w = h + 18 to s, which gives s = h + 58.\n4. Substitute h = y + 8 to s, which gives s = y + 66.\n5. Substitute y = l + 5 to s, which gives s = l + 71.\n6. Substitute l = 3 to s, which gives s = 74.\n\nThus, the final answer is s = \\boxed{74}.",
"index": 3601,
"question": "Suppose a collection of variables is related by the following definitions: h = y + 8; w = h + 18; g = b + 5; y = l + 5; n = c + 16; d = p + 11; c = w + 9; l = 3; p = g + 19; z = d + 1; s = n + 15; b = j + 8; j = l + 13. Given that l = 3, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"z": "y + 20", "k": "z + 8", "r": "k + 1", "e": "r + 11", "s": "e + 8", "u": "s + 9", "n": "y + 11", "l": "n + 2", "j": "l + 14", "d": "j + 6", "f": "d + 11", "h": "f + 5", "y": 9}, "premises": {"y": 9}, "target": "u"}, "answer": {"steps": [["s", "e + 8", "e + 17"], ["e", "r + 11", "r + 28"], ["r", "k + 1", "k + 29"], ["k", "z + 8", "z + 37"], ["z", "y + 20", "y + 57"], ["y", 9, "66"]], "target_var_name": "u", "target_value": 66, "value_dict": {"y": 9}, "is_reverse": true}}
| 3,602
| 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 = l + 14; z = y + 20; n = y + 11; u = s + 9; d = j + 6; f = d + 11; r = k + 1; y = 9; h = f + 5; k = z + 8; e = r + 11; s = e + 8; l = n + 2. If y = 9, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = e + 8 to u, which gives u = e + 17.\n2. Substitute e = r + 11 to u, which gives u = r + 28.\n3. Substitute r = k + 1 to u, which gives u = k + 29.\n4. Substitute k = z + 8 to u, which gives u = z + 37.\n5. Substitute z = y + 20 to u, which gives u = y + 57.\n6. Substitute y = 9 to u, which gives u = 66.\n\nThus, the final answer is u = \\boxed{66}.",
"index": 3602,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = l + 14; z = y + 20; n = y + 11; u = s + 9; d = j + 6; f = d + 11; r = k + 1; y = 9; h = f + 5; k = z + 8; e = r + 11; s = e + 8; l = n + 2. If y = 9, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"z": "u + 15", "j": "z + 4", "b": "j + 6", "v": "b + 11", "o": "v + 13", "i": "o + 18", "n": "u + 10", "p": "n + 6", "c": "p + 16", "k": "c + 5", "g": "k + 6", "q": "g + 17", "u": 9}, "premises": {"u": 9}, "target": "i"}, "answer": {"steps": [["o", "v + 13", "v + 31"], ["v", "b + 11", "b + 42"], ["b", "j + 6", "j + 48"], ["j", "z + 4", "z + 52"], ["z", "u + 15", "u + 67"], ["u", 9, "76"]], "target_var_name": "i", "target_value": 76, "value_dict": {"u": 9}, "is_reverse": true}}
| 3,603
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = u + 10; i = o + 18; b = j + 6; z = u + 15; u = 9; j = z + 4; k = c + 5; o = v + 13; g = k + 6; c = p + 16; v = b + 11; q = g + 17; p = n + 6. If u = 9, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = v + 13 to i, which gives i = v + 31.\n2. Substitute v = b + 11 to i, which gives i = b + 42.\n3. Substitute b = j + 6 to i, which gives i = j + 48.\n4. Substitute j = z + 4 to i, which gives i = z + 52.\n5. Substitute z = u + 15 to i, which gives i = u + 67.\n6. Substitute u = 9 to i, which gives i = 76.\n\nThus, the final answer is i = \\boxed{76}.",
"index": 3603,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = u + 10; i = o + 18; b = j + 6; z = u + 15; u = 9; j = z + 4; k = c + 5; o = v + 13; g = k + 6; c = p + 16; v = b + 11; q = g + 17; p = n + 6. If u = 9, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"p": "q + 17", "f": "p + 9", "i": "f + 7", "o": "i + 7", "c": "o + 18", "g": "c + 15", "u": "q + 15", "v": "u + 4", "b": "v + 7", "t": "b + 11", "l": "t + 10", "h": "l + 13", "q": 1}, "premises": {"q": 1}, "target": "g"}, "answer": {"steps": [["c", "o + 18", "o + 33"], ["o", "i + 7", "i + 40"], ["i", "f + 7", "f + 47"], ["f", "p + 9", "p + 56"], ["p", "q + 17", "q + 73"], ["q", 1, "74"]], "target_var_name": "g", "target_value": 74, "value_dict": {"q": 1}, "is_reverse": true}}
| 3,604
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = b + 11; i = f + 7; v = u + 4; b = v + 7; c = o + 18; p = q + 17; u = q + 15; g = c + 15; h = l + 13; o = i + 7; q = 1; l = t + 10; f = p + 9. If q = 1, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = o + 18 to g, which gives g = o + 33.\n2. Substitute o = i + 7 to g, which gives g = i + 40.\n3. Substitute i = f + 7 to g, which gives g = f + 47.\n4. Substitute f = p + 9 to g, which gives g = p + 56.\n5. Substitute p = q + 17 to g, which gives g = q + 73.\n6. Substitute q = 1 to g, which gives g = 74.\n\nThus, the final answer is g = \\boxed{74}.",
"index": 3604,
"question": "Consider a system of variables where each variable is defined as follows: t = b + 11; i = f + 7; v = u + 4; b = v + 7; c = o + 18; p = q + 17; u = q + 15; g = c + 15; h = l + 13; o = i + 7; q = 1; l = t + 10; f = p + 9. If q = 1, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"l": "t + 10", "m": "l + 3", "a": "m + 13", "f": "a + 10", "j": "f + 14", "y": "j + 2", "b": "t + 20", "z": "b + 6", "e": "z + 14", "g": "e + 2", "d": "g + 2", "w": "d + 1", "t": 13}, "premises": {"t": 13}, "target": "y"}, "answer": {"steps": [["j", "f + 14", "f + 16"], ["f", "a + 10", "a + 26"], ["a", "m + 13", "m + 39"], ["m", "l + 3", "l + 42"], ["l", "t + 10", "t + 52"], ["t", 13, "65"]], "target_var_name": "y", "target_value": 65, "value_dict": {"t": 13}, "is_reverse": true}}
| 3,605
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = z + 14; z = b + 6; m = l + 3; g = e + 2; w = d + 1; l = t + 10; b = t + 20; f = a + 10; d = g + 2; t = 13; j = f + 14; a = m + 13; y = j + 2. If t = 13, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = f + 14 to y, which gives y = f + 16.\n2. Substitute f = a + 10 to y, which gives y = a + 26.\n3. Substitute a = m + 13 to y, which gives y = m + 39.\n4. Substitute m = l + 3 to y, which gives y = l + 42.\n5. Substitute l = t + 10 to y, which gives y = t + 52.\n6. Substitute t = 13 to y, which gives y = 65.\n\nThus, the final answer is y = \\boxed{65}.",
"index": 3605,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = z + 14; z = b + 6; m = l + 3; g = e + 2; w = d + 1; l = t + 10; b = t + 20; f = a + 10; d = g + 2; t = 13; j = f + 14; a = m + 13; y = j + 2. If t = 13, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"d": "s + 15", "e": "d + 1", "m": "e + 1", "b": "m + 1", "f": "b + 14", "v": "f + 16", "x": "s + 10", "i": "x + 2", "y": "i + 3", "z": "y + 11", "k": "z + 14", "p": "k + 8", "s": 10}, "premises": {"s": 10}, "target": "v"}, "answer": {"steps": [["f", "b + 14", "b + 30"], ["b", "m + 1", "m + 31"], ["m", "e + 1", "e + 32"], ["e", "d + 1", "d + 33"], ["d", "s + 15", "s + 48"], ["s", 10, "58"]], "target_var_name": "v", "target_value": 58, "value_dict": {"s": 10}, "is_reverse": true}}
| 3,606
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = y + 11; v = f + 16; y = i + 3; p = k + 8; i = x + 2; m = e + 1; d = s + 15; f = b + 14; b = m + 1; e = d + 1; x = s + 10; s = 10; k = z + 14. If s = 10, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = b + 14 to v, which gives v = b + 30.\n2. Substitute b = m + 1 to v, which gives v = m + 31.\n3. Substitute m = e + 1 to v, which gives v = e + 32.\n4. Substitute e = d + 1 to v, which gives v = d + 33.\n5. Substitute d = s + 15 to v, which gives v = s + 48.\n6. Substitute s = 10 to v, which gives v = 58.\n\nThus, the final answer is v = \\boxed{58}.",
"index": 3606,
"question": "Consider a system of variables where each variable is defined as follows: z = y + 11; v = f + 16; y = i + 3; p = k + 8; i = x + 2; m = e + 1; d = s + 15; f = b + 14; b = m + 1; e = d + 1; x = s + 10; s = 10; k = z + 14. If s = 10, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"x": "k + 4", "m": "x + 12", "b": "m + 6", "s": "b + 10", "t": "s + 10", "u": "t + 18", "q": "k + 4", "i": "q + 3", "f": "i + 19", "c": "f + 18", "g": "c + 5", "r": "g + 9", "k": 5}, "premises": {"k": 5}, "target": "u"}, "answer": {"steps": [["t", "s + 10", "s + 28"], ["s", "b + 10", "b + 38"], ["b", "m + 6", "m + 44"], ["m", "x + 12", "x + 56"], ["x", "k + 4", "k + 60"], ["k", 5, "65"]], "target_var_name": "u", "target_value": 65, "value_dict": {"k": 5}, "is_reverse": true}}
| 3,607
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = m + 6; u = t + 18; r = g + 9; i = q + 3; t = s + 10; s = b + 10; k = 5; q = k + 4; m = x + 12; f = i + 19; g = c + 5; x = k + 4; c = f + 18. If k = 5, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = s + 10 to u, which gives u = s + 28.\n2. Substitute s = b + 10 to u, which gives u = b + 38.\n3. Substitute b = m + 6 to u, which gives u = m + 44.\n4. Substitute m = x + 12 to u, which gives u = x + 56.\n5. Substitute x = k + 4 to u, which gives u = k + 60.\n6. Substitute k = 5 to u, which gives u = 65.\n\nThus, the final answer is u = \\boxed{65}.",
"index": 3607,
"question": "Consider a system of variables where each variable is defined as follows: b = m + 6; u = t + 18; r = g + 9; i = q + 3; t = s + 10; s = b + 10; k = 5; q = k + 4; m = x + 12; f = i + 19; g = c + 5; x = k + 4; c = f + 18. If k = 5, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"s": "n + 4", "g": "s + 8", "m": "g + 5", "i": "m + 16", "y": "i + 20", "p": "y + 1", "c": "n + 10", "d": "c + 10", "u": "d + 12", "a": "u + 2", "h": "a + 2", "e": "h + 17", "n": 16}, "premises": {"n": 16}, "target": "p"}, "answer": {"steps": [["y", "i + 20", "i + 21"], ["i", "m + 16", "m + 37"], ["m", "g + 5", "g + 42"], ["g", "s + 8", "s + 50"], ["s", "n + 4", "n + 54"], ["n", 16, "70"]], "target_var_name": "p", "target_value": 70, "value_dict": {"n": 16}, "is_reverse": true}}
| 3,608
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = i + 20; e = h + 17; n = 16; m = g + 5; p = y + 1; u = d + 12; c = n + 10; s = n + 4; i = m + 16; a = u + 2; d = c + 10; g = s + 8; h = a + 2. Given that n = 16, find the 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 y = i + 20 to p, which gives p = i + 21.\n2. Substitute i = m + 16 to p, which gives p = m + 37.\n3. Substitute m = g + 5 to p, which gives p = g + 42.\n4. Substitute g = s + 8 to p, which gives p = s + 50.\n5. Substitute s = n + 4 to p, which gives p = n + 54.\n6. Substitute n = 16 to p, which gives p = 70.\n\nThus, the final answer is p = \\boxed{70}.",
"index": 3608,
"question": "Suppose a collection of variables is related by the following definitions: y = i + 20; e = h + 17; n = 16; m = g + 5; p = y + 1; u = d + 12; c = n + 10; s = n + 4; i = m + 16; a = u + 2; d = c + 10; g = s + 8; h = a + 2. Given that n = 16, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"v": "b + 2", "j": "v + 16", "y": "j + 20", "z": "y + 20", "m": "z + 7", "t": "m + 4", "g": "b + 19", "l": "g + 14", "a": "l + 7", "f": "a + 12", "d": "f + 11", "q": "d + 11", "b": 4}, "premises": {"b": 4}, "target": "t"}, "answer": {"steps": [["m", "z + 7", "z + 11"], ["z", "y + 20", "y + 31"], ["y", "j + 20", "j + 51"], ["j", "v + 16", "v + 67"], ["v", "b + 2", "b + 69"], ["b", 4, "73"]], "target_var_name": "t", "target_value": 73, "value_dict": {"b": 4}, "is_reverse": true}}
| 3,609
| 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 + 7; y = j + 20; g = b + 19; j = v + 16; l = g + 14; b = 4; a = l + 7; v = b + 2; z = y + 20; d = f + 11; q = d + 11; f = a + 12; t = m + 4. If b = 4, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = z + 7 to t, which gives t = z + 11.\n2. Substitute z = y + 20 to t, which gives t = y + 31.\n3. Substitute y = j + 20 to t, which gives t = j + 51.\n4. Substitute j = v + 16 to t, which gives t = v + 67.\n5. Substitute v = b + 2 to t, which gives t = b + 69.\n6. Substitute b = 4 to t, which gives t = 73.\n\nThus, the final answer is t = \\boxed{73}.",
"index": 3609,
"question": "Consider a system of variables where each variable is defined as follows: m = z + 7; y = j + 20; g = b + 19; j = v + 16; l = g + 14; b = 4; a = l + 7; v = b + 2; z = y + 20; d = f + 11; q = d + 11; f = a + 12; t = m + 4. If b = 4, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"d": "w + 8", "y": "d + 14", "z": "y + 17", "t": "z + 20", "e": "t + 15", "g": "e + 16", "a": "w + 18", "h": "a + 14", "x": "h + 7", "s": "x + 8", "k": "s + 16", "c": "k + 7", "w": 16}, "premises": {"w": 16}, "target": "g"}, "answer": {"steps": [["e", "t + 15", "t + 31"], ["t", "z + 20", "z + 51"], ["z", "y + 17", "y + 68"], ["y", "d + 14", "d + 82"], ["d", "w + 8", "w + 90"], ["w", 16, "106"]], "target_var_name": "g", "target_value": 106, "value_dict": {"w": 16}, "is_reverse": true}}
| 3,610
| 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 = d + 14; k = s + 16; g = e + 16; t = z + 20; s = x + 8; c = k + 7; z = y + 17; d = w + 8; x = h + 7; h = a + 14; e = t + 15; w = 16; a = w + 18. If w = 16, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 106,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = t + 15 to g, which gives g = t + 31.\n2. Substitute t = z + 20 to g, which gives g = z + 51.\n3. Substitute z = y + 17 to g, which gives g = y + 68.\n4. Substitute y = d + 14 to g, which gives g = d + 82.\n5. Substitute d = w + 8 to g, which gives g = w + 90.\n6. Substitute w = 16 to g, which gives g = 106.\n\nThus, the final answer is g = \\boxed{106}.",
"index": 3610,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = d + 14; k = s + 16; g = e + 16; t = z + 20; s = x + 8; c = k + 7; z = y + 17; d = w + 8; x = h + 7; h = a + 14; e = t + 15; w = 16; a = w + 18. If w = 16, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"b": "g + 10", "t": "b + 18", "h": "t + 12", "m": "h + 4", "r": "m + 15", "u": "r + 9", "q": "g + 20", "x": "q + 4", "j": "x + 5", "p": "j + 7", "l": "p + 13", "e": "l + 4", "g": 1}, "premises": {"g": 1}, "target": "u"}, "answer": {"steps": [["r", "m + 15", "m + 24"], ["m", "h + 4", "h + 28"], ["h", "t + 12", "t + 40"], ["t", "b + 18", "b + 58"], ["b", "g + 10", "g + 68"], ["g", 1, "69"]], "target_var_name": "u", "target_value": 69, "value_dict": {"g": 1}, "is_reverse": true}}
| 3,611
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = 1; m = h + 4; t = b + 18; u = r + 9; x = q + 4; p = j + 7; e = l + 4; q = g + 20; l = p + 13; r = m + 15; b = g + 10; j = x + 5; h = t + 12. If g = 1, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = m + 15 to u, which gives u = m + 24.\n2. Substitute m = h + 4 to u, which gives u = h + 28.\n3. Substitute h = t + 12 to u, which gives u = t + 40.\n4. Substitute t = b + 18 to u, which gives u = b + 58.\n5. Substitute b = g + 10 to u, which gives u = g + 68.\n6. Substitute g = 1 to u, which gives u = 69.\n\nThus, the final answer is u = \\boxed{69}.",
"index": 3611,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = 1; m = h + 4; t = b + 18; u = r + 9; x = q + 4; p = j + 7; e = l + 4; q = g + 20; l = p + 13; r = m + 15; b = g + 10; j = x + 5; h = t + 12. If g = 1, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"m": "c + 6", "h": "m + 18", "b": "h + 14", "d": "b + 8", "f": "d + 13", "e": "f + 12", "a": "c + 4", "r": "a + 16", "z": "r + 19", "x": "z + 20", "l": "x + 10", "n": "l + 15", "c": 7}, "premises": {"c": 7}, "target": "e"}, "answer": {"steps": [["f", "d + 13", "d + 25"], ["d", "b + 8", "b + 33"], ["b", "h + 14", "h + 47"], ["h", "m + 18", "m + 65"], ["m", "c + 6", "c + 71"], ["c", 7, "78"]], "target_var_name": "e", "target_value": 78, "value_dict": {"c": 7}, "is_reverse": true}}
| 3,612
| 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; a = c + 4; z = r + 19; m = c + 6; r = a + 16; f = d + 13; b = h + 14; c = 7; h = m + 18; n = l + 15; x = z + 20; l = x + 10; d = b + 8. Given that c = 7, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = d + 13 to e, which gives e = d + 25.\n2. Substitute d = b + 8 to e, which gives e = b + 33.\n3. Substitute b = h + 14 to e, which gives e = h + 47.\n4. Substitute h = m + 18 to e, which gives e = m + 65.\n5. Substitute m = c + 6 to e, which gives e = c + 71.\n6. Substitute c = 7 to e, which gives e = 78.\n\nThus, the final answer is e = \\boxed{78}.",
"index": 3612,
"question": "Suppose a collection of variables is related by the following definitions: e = f + 12; a = c + 4; z = r + 19; m = c + 6; r = a + 16; f = d + 13; b = h + 14; c = 7; h = m + 18; n = l + 15; x = z + 20; l = x + 10; d = b + 8. Given that c = 7, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"g": "m + 5", "w": "g + 12", "x": "w + 3", "v": "x + 14", "s": "v + 8", "p": "s + 15", "e": "m + 14", "l": "e + 19", "a": "l + 2", "q": "a + 9", "y": "q + 2", "f": "y + 4", "m": 8}, "premises": {"m": 8}, "target": "p"}, "answer": {"steps": [["s", "v + 8", "v + 23"], ["v", "x + 14", "x + 37"], ["x", "w + 3", "w + 40"], ["w", "g + 12", "g + 52"], ["g", "m + 5", "m + 57"], ["m", 8, "65"]], "target_var_name": "p", "target_value": 65, "value_dict": {"m": 8}, "is_reverse": true}}
| 3,613
| 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 = y + 4; v = x + 14; s = v + 8; m = 8; l = e + 19; q = a + 9; e = m + 14; g = m + 5; y = q + 2; w = g + 12; x = w + 3; a = l + 2; p = s + 15. If m = 8, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = v + 8 to p, which gives p = v + 23.\n2. Substitute v = x + 14 to p, which gives p = x + 37.\n3. Substitute x = w + 3 to p, which gives p = w + 40.\n4. Substitute w = g + 12 to p, which gives p = g + 52.\n5. Substitute g = m + 5 to p, which gives p = m + 57.\n6. Substitute m = 8 to p, which gives p = 65.\n\nThus, the final answer is p = \\boxed{65}.",
"index": 3613,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = y + 4; v = x + 14; s = v + 8; m = 8; l = e + 19; q = a + 9; e = m + 14; g = m + 5; y = q + 2; w = g + 12; x = w + 3; a = l + 2; p = s + 15. If m = 8, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"c": "a + 1", "g": "c + 12", "b": "g + 4", "v": "b + 15", "i": "v + 12", "r": "i + 3", "m": "a + 8", "x": "m + 20", "t": "x + 10", "p": "t + 3", "q": "p + 20", "f": "q + 12", "a": 10}, "premises": {"a": 10}, "target": "r"}, "answer": {"steps": [["i", "v + 12", "v + 15"], ["v", "b + 15", "b + 30"], ["b", "g + 4", "g + 34"], ["g", "c + 12", "c + 46"], ["c", "a + 1", "a + 47"], ["a", 10, "57"]], "target_var_name": "r", "target_value": 57, "value_dict": {"a": 10}, "is_reverse": true}}
| 3,614
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = q + 12; p = t + 3; a = 10; r = i + 3; q = p + 20; i = v + 12; c = a + 1; t = x + 10; b = g + 4; g = c + 12; x = m + 20; v = b + 15; m = a + 8. If a = 10, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = v + 12 to r, which gives r = v + 15.\n2. Substitute v = b + 15 to r, which gives r = b + 30.\n3. Substitute b = g + 4 to r, which gives r = g + 34.\n4. Substitute g = c + 12 to r, which gives r = c + 46.\n5. Substitute c = a + 1 to r, which gives r = a + 47.\n6. Substitute a = 10 to r, which gives r = 57.\n\nThus, the final answer is r = \\boxed{57}.",
"index": 3614,
"question": "Consider a system of variables where each variable is defined as follows: f = q + 12; p = t + 3; a = 10; r = i + 3; q = p + 20; i = v + 12; c = a + 1; t = x + 10; b = g + 4; g = c + 12; x = m + 20; v = b + 15; m = a + 8. If a = 10, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"u": "c + 19", "t": "u + 4", "y": "t + 9", "g": "y + 9", "w": "g + 1", "p": "w + 10", "b": "c + 18", "x": "b + 8", "m": "x + 16", "h": "m + 17", "i": "h + 19", "z": "i + 15", "c": 19}, "premises": {"c": 19}, "target": "p"}, "answer": {"steps": [["w", "g + 1", "g + 11"], ["g", "y + 9", "y + 20"], ["y", "t + 9", "t + 29"], ["t", "u + 4", "u + 33"], ["u", "c + 19", "c + 52"], ["c", 19, "71"]], "target_var_name": "p", "target_value": 71, "value_dict": {"c": 19}, "is_reverse": true}}
| 3,615
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = m + 17; w = g + 1; g = y + 9; i = h + 19; x = b + 8; c = 19; y = t + 9; u = c + 19; b = c + 18; z = i + 15; p = w + 10; t = u + 4; m = x + 16. Given that c = 19, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = g + 1 to p, which gives p = g + 11.\n2. Substitute g = y + 9 to p, which gives p = y + 20.\n3. Substitute y = t + 9 to p, which gives p = t + 29.\n4. Substitute t = u + 4 to p, which gives p = u + 33.\n5. Substitute u = c + 19 to p, which gives p = c + 52.\n6. Substitute c = 19 to p, which gives p = 71.\n\nThus, the final answer is p = \\boxed{71}.",
"index": 3615,
"question": "Suppose a collection of variables is related by the following definitions: h = m + 17; w = g + 1; g = y + 9; i = h + 19; x = b + 8; c = 19; y = t + 9; u = c + 19; b = c + 18; z = i + 15; p = w + 10; t = u + 4; m = x + 16. Given that c = 19, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"f": "e + 7", "b": "f + 17", "i": "b + 6", "u": "i + 2", "o": "u + 14", "r": "o + 5", "m": "e + 3", "k": "m + 10", "v": "k + 2", "x": "v + 9", "n": "x + 6", "s": "n + 19", "e": 8}, "premises": {"e": 8}, "target": "r"}, "answer": {"steps": [["o", "u + 14", "u + 19"], ["u", "i + 2", "i + 21"], ["i", "b + 6", "b + 27"], ["b", "f + 17", "f + 44"], ["f", "e + 7", "e + 51"], ["e", 8, "59"]], "target_var_name": "r", "target_value": 59, "value_dict": {"e": 8}, "is_reverse": true}}
| 3,616
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = x + 6; v = k + 2; m = e + 3; b = f + 17; u = i + 2; e = 8; f = e + 7; k = m + 10; o = u + 14; i = b + 6; x = v + 9; s = n + 19; r = o + 5. Given that e = 8, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = u + 14 to r, which gives r = u + 19.\n2. Substitute u = i + 2 to r, which gives r = i + 21.\n3. Substitute i = b + 6 to r, which gives r = b + 27.\n4. Substitute b = f + 17 to r, which gives r = f + 44.\n5. Substitute f = e + 7 to r, which gives r = e + 51.\n6. Substitute e = 8 to r, which gives r = 59.\n\nThus, the final answer is r = \\boxed{59}.",
"index": 3616,
"question": "Suppose a collection of variables is related by the following definitions: n = x + 6; v = k + 2; m = e + 3; b = f + 17; u = i + 2; e = 8; f = e + 7; k = m + 10; o = u + 14; i = b + 6; x = v + 9; s = n + 19; r = o + 5. Given that e = 8, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"p": "i + 18", "l": "p + 13", "v": "l + 20", "x": "v + 6", "b": "x + 18", "y": "b + 11", "m": "i + 9", "k": "m + 13", "n": "k + 19", "r": "n + 8", "z": "r + 5", "o": "z + 16", "i": 2}, "premises": {"i": 2}, "target": "y"}, "answer": {"steps": [["b", "x + 18", "x + 29"], ["x", "v + 6", "v + 35"], ["v", "l + 20", "l + 55"], ["l", "p + 13", "p + 68"], ["p", "i + 18", "i + 86"], ["i", 2, "88"]], "target_var_name": "y", "target_value": 88, "value_dict": {"i": 2}, "is_reverse": true}}
| 3,617
| 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 = v + 6; l = p + 13; v = l + 20; o = z + 16; y = b + 11; i = 2; m = i + 9; n = k + 19; r = n + 8; b = x + 18; k = m + 13; z = r + 5; p = i + 18. If i = 2, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = x + 18 to y, which gives y = x + 29.\n2. Substitute x = v + 6 to y, which gives y = v + 35.\n3. Substitute v = l + 20 to y, which gives y = l + 55.\n4. Substitute l = p + 13 to y, which gives y = p + 68.\n5. Substitute p = i + 18 to y, which gives y = i + 86.\n6. Substitute i = 2 to y, which gives y = 88.\n\nThus, the final answer is y = \\boxed{88}.",
"index": 3617,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = v + 6; l = p + 13; v = l + 20; o = z + 16; y = b + 11; i = 2; m = i + 9; n = k + 19; r = n + 8; b = x + 18; k = m + 13; z = r + 5; p = i + 18. If i = 2, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"n": "z + 16", "e": "n + 18", "m": "e + 7", "f": "m + 4", "j": "f + 20", "i": "j + 3", "u": "z + 4", "x": "u + 20", "y": "x + 17", "k": "y + 20", "q": "k + 13", "v": "q + 15", "z": 8}, "premises": {"z": 8}, "target": "i"}, "answer": {"steps": [["j", "f + 20", "f + 23"], ["f", "m + 4", "m + 27"], ["m", "e + 7", "e + 34"], ["e", "n + 18", "n + 52"], ["n", "z + 16", "z + 68"], ["z", 8, "76"]], "target_var_name": "i", "target_value": 76, "value_dict": {"z": 8}, "is_reverse": true}}
| 3,618
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = q + 15; f = m + 4; z = 8; y = x + 17; j = f + 20; e = n + 18; u = z + 4; m = e + 7; i = j + 3; q = k + 13; n = z + 16; k = y + 20; x = u + 20. Given that z = 8, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = f + 20 to i, which gives i = f + 23.\n2. Substitute f = m + 4 to i, which gives i = m + 27.\n3. Substitute m = e + 7 to i, which gives i = e + 34.\n4. Substitute e = n + 18 to i, which gives i = n + 52.\n5. Substitute n = z + 16 to i, which gives i = z + 68.\n6. Substitute z = 8 to i, which gives i = 76.\n\nThus, the final answer is i = \\boxed{76}.",
"index": 3618,
"question": "Suppose a collection of variables is related by the following definitions: v = q + 15; f = m + 4; z = 8; y = x + 17; j = f + 20; e = n + 18; u = z + 4; m = e + 7; i = j + 3; q = k + 13; n = z + 16; k = y + 20; x = u + 20. Given that z = 8, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"p": "w + 6", "r": "p + 14", "d": "r + 12", "b": "d + 5", "a": "b + 15", "c": "a + 17", "f": "w + 18", "j": "f + 10", "o": "j + 11", "l": "o + 1", "m": "l + 7", "n": "m + 13", "w": 2}, "premises": {"w": 2}, "target": "c"}, "answer": {"steps": [["a", "b + 15", "b + 32"], ["b", "d + 5", "d + 37"], ["d", "r + 12", "r + 49"], ["r", "p + 14", "p + 63"], ["p", "w + 6", "w + 69"], ["w", 2, "71"]], "target_var_name": "c", "target_value": 71, "value_dict": {"w": 2}, "is_reverse": true}}
| 3,619
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = f + 10; m = l + 7; r = p + 14; f = w + 18; d = r + 12; c = a + 17; w = 2; n = m + 13; p = w + 6; b = d + 5; l = o + 1; o = j + 11; a = b + 15. Given that w = 2, 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 a = b + 15 to c, which gives c = b + 32.\n2. Substitute b = d + 5 to c, which gives c = d + 37.\n3. Substitute d = r + 12 to c, which gives c = r + 49.\n4. Substitute r = p + 14 to c, which gives c = p + 63.\n5. Substitute p = w + 6 to c, which gives c = w + 69.\n6. Substitute w = 2 to c, which gives c = 71.\n\nThus, the final answer is c = \\boxed{71}.",
"index": 3619,
"question": "Suppose a collection of variables is related by the following definitions: j = f + 10; m = l + 7; r = p + 14; f = w + 18; d = r + 12; c = a + 17; w = 2; n = m + 13; p = w + 6; b = d + 5; l = o + 1; o = j + 11; a = b + 15. Given that w = 2, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"j": "p + 18", "q": "j + 20", "u": "q + 10", "r": "u + 5", "y": "r + 17", "t": "y + 17", "c": "p + 8", "f": "c + 8", "n": "f + 9", "s": "n + 4", "e": "s + 3", "m": "e + 10", "p": 20}, "premises": {"p": 20}, "target": "t"}, "answer": {"steps": [["y", "r + 17", "r + 34"], ["r", "u + 5", "u + 39"], ["u", "q + 10", "q + 49"], ["q", "j + 20", "j + 69"], ["j", "p + 18", "p + 87"], ["p", 20, "107"]], "target_var_name": "t", "target_value": 107, "value_dict": {"p": 20}, "is_reverse": true}}
| 3,620
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = s + 3; q = j + 20; j = p + 18; y = r + 17; c = p + 8; s = n + 4; u = q + 10; r = u + 5; p = 20; m = e + 10; n = f + 9; t = y + 17; f = c + 8. If p = 20, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 107,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = r + 17 to t, which gives t = r + 34.\n2. Substitute r = u + 5 to t, which gives t = u + 39.\n3. Substitute u = q + 10 to t, which gives t = q + 49.\n4. Substitute q = j + 20 to t, which gives t = j + 69.\n5. Substitute j = p + 18 to t, which gives t = p + 87.\n6. Substitute p = 20 to t, which gives t = 107.\n\nThus, the final answer is t = \\boxed{107}.",
"index": 3620,
"question": "Consider a system of variables where each variable is defined as follows: e = s + 3; q = j + 20; j = p + 18; y = r + 17; c = p + 8; s = n + 4; u = q + 10; r = u + 5; p = 20; m = e + 10; n = f + 9; t = y + 17; f = c + 8. If p = 20, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"v": "x + 7", "k": "v + 7", "s": "k + 1", "r": "s + 6", "w": "r + 12", "n": "w + 4", "t": "x + 6", "u": "t + 18", "i": "u + 1", "m": "i + 4", "f": "m + 16", "b": "f + 11", "x": 17}, "premises": {"x": 17}, "target": "n"}, "answer": {"steps": [["w", "r + 12", "r + 16"], ["r", "s + 6", "s + 22"], ["s", "k + 1", "k + 23"], ["k", "v + 7", "v + 30"], ["v", "x + 7", "x + 37"], ["x", 17, "54"]], "target_var_name": "n", "target_value": 54, "value_dict": {"x": 17}, "is_reverse": true}}
| 3,621
| 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 = v + 7; m = i + 4; n = w + 4; f = m + 16; v = x + 7; w = r + 12; t = x + 6; i = u + 1; r = s + 6; x = 17; b = f + 11; u = t + 18; s = k + 1. If x = 17, 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 w = r + 12 to n, which gives n = r + 16.\n2. Substitute r = s + 6 to n, which gives n = s + 22.\n3. Substitute s = k + 1 to n, which gives n = k + 23.\n4. Substitute k = v + 7 to n, which gives n = v + 30.\n5. Substitute v = x + 7 to n, which gives n = x + 37.\n6. Substitute x = 17 to n, which gives n = 54.\n\nThus, the final answer is n = \\boxed{54}.",
"index": 3621,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = v + 7; m = i + 4; n = w + 4; f = m + 16; v = x + 7; w = r + 12; t = x + 6; i = u + 1; r = s + 6; x = 17; b = f + 11; u = t + 18; s = k + 1. If x = 17, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"l": "f + 12", "n": "l + 14", "u": "n + 17", "h": "u + 6", "w": "h + 9", "z": "w + 17", "o": "f + 14", "a": "o + 10", "y": "a + 4", "g": "y + 20", "i": "g + 16", "c": "i + 18", "f": 9}, "premises": {"f": 9}, "target": "z"}, "answer": {"steps": [["w", "h + 9", "h + 26"], ["h", "u + 6", "u + 32"], ["u", "n + 17", "n + 49"], ["n", "l + 14", "l + 63"], ["l", "f + 12", "f + 75"], ["f", 9, "84"]], "target_var_name": "z", "target_value": 84, "value_dict": {"f": 9}, "is_reverse": true}}
| 3,622
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = f + 12; n = l + 14; c = i + 18; w = h + 9; u = n + 17; i = g + 16; y = a + 4; h = u + 6; f = 9; a = o + 10; g = y + 20; z = w + 17; o = f + 14. If f = 9, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = h + 9 to z, which gives z = h + 26.\n2. Substitute h = u + 6 to z, which gives z = u + 32.\n3. Substitute u = n + 17 to z, which gives z = n + 49.\n4. Substitute n = l + 14 to z, which gives z = l + 63.\n5. Substitute l = f + 12 to z, which gives z = f + 75.\n6. Substitute f = 9 to z, which gives z = 84.\n\nThus, the final answer is z = \\boxed{84}.",
"index": 3622,
"question": "Consider a system of variables where each variable is defined as follows: l = f + 12; n = l + 14; c = i + 18; w = h + 9; u = n + 17; i = g + 16; y = a + 4; h = u + 6; f = 9; a = o + 10; g = y + 20; z = w + 17; o = f + 14. If f = 9, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"j": "t + 15", "q": "j + 4", "m": "q + 18", "w": "m + 16", "v": "w + 4", "d": "v + 12", "o": "t + 14", "c": "o + 10", "f": "c + 16", "s": "f + 8", "z": "s + 12", "k": "z + 13", "t": 1}, "premises": {"t": 1}, "target": "d"}, "answer": {"steps": [["v", "w + 4", "w + 16"], ["w", "m + 16", "m + 32"], ["m", "q + 18", "q + 50"], ["q", "j + 4", "j + 54"], ["j", "t + 15", "t + 69"], ["t", 1, "70"]], "target_var_name": "d", "target_value": 70, "value_dict": {"t": 1}, "is_reverse": true}}
| 3,623
| 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 = w + 4; o = t + 14; k = z + 13; c = o + 10; f = c + 16; w = m + 16; t = 1; m = q + 18; d = v + 12; q = j + 4; j = t + 15; s = f + 8; z = s + 12. If t = 1, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = w + 4 to d, which gives d = w + 16.\n2. Substitute w = m + 16 to d, which gives d = m + 32.\n3. Substitute m = q + 18 to d, which gives d = q + 50.\n4. Substitute q = j + 4 to d, which gives d = j + 54.\n5. Substitute j = t + 15 to d, which gives d = t + 69.\n6. Substitute t = 1 to d, which gives d = 70.\n\nThus, the final answer is d = \\boxed{70}.",
"index": 3623,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = w + 4; o = t + 14; k = z + 13; c = o + 10; f = c + 16; w = m + 16; t = 1; m = q + 18; d = v + 12; q = j + 4; j = t + 15; s = f + 8; z = s + 12. If t = 1, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"o": "y + 7", "l": "o + 20", "p": "l + 3", "f": "p + 11", "r": "f + 18", "a": "r + 20", "m": "y + 14", "i": "m + 2", "e": "i + 10", "t": "e + 15", "j": "t + 5", "b": "j + 6", "y": 9}, "premises": {"y": 9}, "target": "a"}, "answer": {"steps": [["r", "f + 18", "f + 38"], ["f", "p + 11", "p + 49"], ["p", "l + 3", "l + 52"], ["l", "o + 20", "o + 72"], ["o", "y + 7", "y + 79"], ["y", 9, "88"]], "target_var_name": "a", "target_value": 88, "value_dict": {"y": 9}, "is_reverse": true}}
| 3,624
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = l + 3; l = o + 20; j = t + 5; a = r + 20; o = y + 7; e = i + 10; r = f + 18; f = p + 11; y = 9; m = y + 14; b = j + 6; t = e + 15; i = m + 2. Given that y = 9, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = f + 18 to a, which gives a = f + 38.\n2. Substitute f = p + 11 to a, which gives a = p + 49.\n3. Substitute p = l + 3 to a, which gives a = l + 52.\n4. Substitute l = o + 20 to a, which gives a = o + 72.\n5. Substitute o = y + 7 to a, which gives a = y + 79.\n6. Substitute y = 9 to a, which gives a = 88.\n\nThus, the final answer is a = \\boxed{88}.",
"index": 3624,
"question": "Suppose a collection of variables is related by the following definitions: p = l + 3; l = o + 20; j = t + 5; a = r + 20; o = y + 7; e = i + 10; r = f + 18; f = p + 11; y = 9; m = y + 14; b = j + 6; t = e + 15; i = m + 2. Given that y = 9, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"i": "u + 3", "r": "i + 13", "e": "r + 20", "y": "e + 2", "w": "y + 13", "v": "w + 17", "l": "u + 9", "j": "l + 8", "n": "j + 12", "k": "n + 11", "o": "k + 9", "s": "o + 13", "u": 10}, "premises": {"u": 10}, "target": "v"}, "answer": {"steps": [["w", "y + 13", "y + 30"], ["y", "e + 2", "e + 32"], ["e", "r + 20", "r + 52"], ["r", "i + 13", "i + 65"], ["i", "u + 3", "u + 68"], ["u", 10, "78"]], "target_var_name": "v", "target_value": 78, "value_dict": {"u": 10}, "is_reverse": true}}
| 3,625
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = u + 9; i = u + 3; n = j + 12; y = e + 2; s = o + 13; u = 10; w = y + 13; r = i + 13; o = k + 9; j = l + 8; k = n + 11; v = w + 17; e = r + 20. If u = 10, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = y + 13 to v, which gives v = y + 30.\n2. Substitute y = e + 2 to v, which gives v = e + 32.\n3. Substitute e = r + 20 to v, which gives v = r + 52.\n4. Substitute r = i + 13 to v, which gives v = i + 65.\n5. Substitute i = u + 3 to v, which gives v = u + 68.\n6. Substitute u = 10 to v, which gives v = 78.\n\nThus, the final answer is v = \\boxed{78}.",
"index": 3625,
"question": "Consider a system of variables where each variable is defined as follows: l = u + 9; i = u + 3; n = j + 12; y = e + 2; s = o + 13; u = 10; w = y + 13; r = i + 13; o = k + 9; j = l + 8; k = n + 11; v = w + 17; e = r + 20. If u = 10, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"y": "m + 18", "u": "y + 19", "x": "u + 1", "j": "x + 7", "p": "j + 11", "r": "p + 13", "f": "m + 7", "t": "f + 17", "v": "t + 2", "h": "v + 5", "q": "h + 20", "d": "q + 20", "m": 19}, "premises": {"m": 19}, "target": "r"}, "answer": {"steps": [["p", "j + 11", "j + 24"], ["j", "x + 7", "x + 31"], ["x", "u + 1", "u + 32"], ["u", "y + 19", "y + 51"], ["y", "m + 18", "m + 69"], ["m", 19, "88"]], "target_var_name": "r", "target_value": 88, "value_dict": {"m": 19}, "is_reverse": true}}
| 3,626
| 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 = p + 13; t = f + 17; y = m + 18; p = j + 11; d = q + 20; m = 19; f = m + 7; q = h + 20; v = t + 2; u = y + 19; h = v + 5; j = x + 7; x = u + 1. If m = 19, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = j + 11 to r, which gives r = j + 24.\n2. Substitute j = x + 7 to r, which gives r = x + 31.\n3. Substitute x = u + 1 to r, which gives r = u + 32.\n4. Substitute u = y + 19 to r, which gives r = y + 51.\n5. Substitute y = m + 18 to r, which gives r = m + 69.\n6. Substitute m = 19 to r, which gives r = 88.\n\nThus, the final answer is r = \\boxed{88}.",
"index": 3626,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = p + 13; t = f + 17; y = m + 18; p = j + 11; d = q + 20; m = 19; f = m + 7; q = h + 20; v = t + 2; u = y + 19; h = v + 5; j = x + 7; x = u + 1. If m = 19, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"c": "k + 1", "m": "c + 13", "t": "m + 1", "g": "t + 13", "l": "g + 12", "p": "l + 13", "s": "k + 8", "z": "s + 13", "r": "z + 3", "n": "r + 3", "v": "n + 10", "y": "v + 18", "k": 8}, "premises": {"k": 8}, "target": "p"}, "answer": {"steps": [["l", "g + 12", "g + 25"], ["g", "t + 13", "t + 38"], ["t", "m + 1", "m + 39"], ["m", "c + 13", "c + 52"], ["c", "k + 1", "k + 53"], ["k", 8, "61"]], "target_var_name": "p", "target_value": 61, "value_dict": {"k": 8}, "is_reverse": true}}
| 3,627
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = c + 13; l = g + 12; p = l + 13; r = z + 3; v = n + 10; z = s + 13; t = m + 1; s = k + 8; y = v + 18; c = k + 1; n = r + 3; g = t + 13; k = 8. If k = 8, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = g + 12 to p, which gives p = g + 25.\n2. Substitute g = t + 13 to p, which gives p = t + 38.\n3. Substitute t = m + 1 to p, which gives p = m + 39.\n4. Substitute m = c + 13 to p, which gives p = c + 52.\n5. Substitute c = k + 1 to p, which gives p = k + 53.\n6. Substitute k = 8 to p, which gives p = 61.\n\nThus, the final answer is p = \\boxed{61}.",
"index": 3627,
"question": "Consider a system of variables where each variable is defined as follows: m = c + 13; l = g + 12; p = l + 13; r = z + 3; v = n + 10; z = s + 13; t = m + 1; s = k + 8; y = v + 18; c = k + 1; n = r + 3; g = t + 13; k = 8. If k = 8, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"h": "g + 20", "b": "h + 9", "x": "b + 1", "s": "x + 11", "c": "s + 18", "l": "c + 18", "k": "g + 9", "a": "k + 3", "w": "a + 6", "o": "w + 18", "m": "o + 2", "d": "m + 9", "g": 2}, "premises": {"g": 2}, "target": "l"}, "answer": {"steps": [["c", "s + 18", "s + 36"], ["s", "x + 11", "x + 47"], ["x", "b + 1", "b + 48"], ["b", "h + 9", "h + 57"], ["h", "g + 20", "g + 77"], ["g", 2, "79"]], "target_var_name": "l", "target_value": 79, "value_dict": {"g": 2}, "is_reverse": true}}
| 3,628
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = o + 2; d = m + 9; w = a + 6; x = b + 1; s = x + 11; a = k + 3; b = h + 9; h = g + 20; g = 2; l = c + 18; o = w + 18; k = g + 9; c = s + 18. If g = 2, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = s + 18 to l, which gives l = s + 36.\n2. Substitute s = x + 11 to l, which gives l = x + 47.\n3. Substitute x = b + 1 to l, which gives l = b + 48.\n4. Substitute b = h + 9 to l, which gives l = h + 57.\n5. Substitute h = g + 20 to l, which gives l = g + 77.\n6. Substitute g = 2 to l, which gives l = 79.\n\nThus, the final answer is l = \\boxed{79}.",
"index": 3628,
"question": "Consider a system of variables where each variable is defined as follows: m = o + 2; d = m + 9; w = a + 6; x = b + 1; s = x + 11; a = k + 3; b = h + 9; h = g + 20; g = 2; l = c + 18; o = w + 18; k = g + 9; c = s + 18. If g = 2, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"j": "r + 8", "h": "j + 10", "n": "h + 16", "i": "n + 10", "t": "i + 15", "z": "t + 1", "c": "r + 9", "d": "c + 8", "k": "d + 12", "m": "k + 17", "l": "m + 5", "o": "l + 1", "r": 16}, "premises": {"r": 16}, "target": "z"}, "answer": {"steps": [["t", "i + 15", "i + 16"], ["i", "n + 10", "n + 26"], ["n", "h + 16", "h + 42"], ["h", "j + 10", "j + 52"], ["j", "r + 8", "r + 60"], ["r", 16, "76"]], "target_var_name": "z", "target_value": 76, "value_dict": {"r": 16}, "is_reverse": true}}
| 3,629
| 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 = l + 1; z = t + 1; h = j + 10; c = r + 9; k = d + 12; n = h + 16; t = i + 15; j = r + 8; d = c + 8; i = n + 10; m = k + 17; l = m + 5; r = 16. If r = 16, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = i + 15 to z, which gives z = i + 16.\n2. Substitute i = n + 10 to z, which gives z = n + 26.\n3. Substitute n = h + 16 to z, which gives z = h + 42.\n4. Substitute h = j + 10 to z, which gives z = j + 52.\n5. Substitute j = r + 8 to z, which gives z = r + 60.\n6. Substitute r = 16 to z, which gives z = 76.\n\nThus, the final answer is z = \\boxed{76}.",
"index": 3629,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = l + 1; z = t + 1; h = j + 10; c = r + 9; k = d + 12; n = h + 16; t = i + 15; j = r + 8; d = c + 8; i = n + 10; m = k + 17; l = m + 5; r = 16. If r = 16, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"e": "n + 12", "o": "e + 12", "w": "o + 6", "s": "w + 15", "i": "s + 6", "m": "i + 2", "a": "n + 1", "r": "a + 5", "v": "r + 12", "c": "v + 15", "b": "c + 1", "f": "b + 17", "n": 17}, "premises": {"n": 17}, "target": "m"}, "answer": {"steps": [["i", "s + 6", "s + 8"], ["s", "w + 15", "w + 23"], ["w", "o + 6", "o + 29"], ["o", "e + 12", "e + 41"], ["e", "n + 12", "n + 53"], ["n", 17, "70"]], "target_var_name": "m", "target_value": 70, "value_dict": {"n": 17}, "is_reverse": true}}
| 3,630
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = a + 5; i = s + 6; w = o + 6; s = w + 15; f = b + 17; e = n + 12; m = i + 2; b = c + 1; v = r + 12; o = e + 12; n = 17; a = n + 1; c = v + 15. If n = 17, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = s + 6 to m, which gives m = s + 8.\n2. Substitute s = w + 15 to m, which gives m = w + 23.\n3. Substitute w = o + 6 to m, which gives m = o + 29.\n4. Substitute o = e + 12 to m, which gives m = e + 41.\n5. Substitute e = n + 12 to m, which gives m = n + 53.\n6. Substitute n = 17 to m, which gives m = 70.\n\nThus, the final answer is m = \\boxed{70}.",
"index": 3630,
"question": "Consider a system of variables where each variable is defined as follows: r = a + 5; i = s + 6; w = o + 6; s = w + 15; f = b + 17; e = n + 12; m = i + 2; b = c + 1; v = r + 12; o = e + 12; n = 17; a = n + 1; c = v + 15. If n = 17, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"x": "q + 10", "l": "x + 4", "y": "l + 2", "i": "y + 15", "k": "i + 10", "w": "k + 16", "h": "q + 7", "u": "h + 19", "j": "u + 4", "f": "j + 18", "e": "f + 3", "v": "e + 12", "q": 9}, "premises": {"q": 9}, "target": "w"}, "answer": {"steps": [["k", "i + 10", "i + 26"], ["i", "y + 15", "y + 41"], ["y", "l + 2", "l + 43"], ["l", "x + 4", "x + 47"], ["x", "q + 10", "q + 57"], ["q", 9, "66"]], "target_var_name": "w", "target_value": 66, "value_dict": {"q": 9}, "is_reverse": true}}
| 3,631
| 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 = h + 19; q = 9; k = i + 10; j = u + 4; h = q + 7; e = f + 3; w = k + 16; x = q + 10; y = l + 2; f = j + 18; l = x + 4; v = e + 12; i = y + 15. If q = 9, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = i + 10 to w, which gives w = i + 26.\n2. Substitute i = y + 15 to w, which gives w = y + 41.\n3. Substitute y = l + 2 to w, which gives w = l + 43.\n4. Substitute l = x + 4 to w, which gives w = x + 47.\n5. Substitute x = q + 10 to w, which gives w = q + 57.\n6. Substitute q = 9 to w, which gives w = 66.\n\nThus, the final answer is w = \\boxed{66}.",
"index": 3631,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = h + 19; q = 9; k = i + 10; j = u + 4; h = q + 7; e = f + 3; w = k + 16; x = q + 10; y = l + 2; f = j + 18; l = x + 4; v = e + 12; i = y + 15. If q = 9, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"s": "z + 3", "c": "s + 5", "h": "c + 14", "w": "h + 4", "v": "w + 12", "k": "v + 3", "u": "z + 20", "r": "u + 17", "f": "r + 2", "g": "f + 12", "q": "g + 8", "n": "q + 12", "z": 4}, "premises": {"z": 4}, "target": "k"}, "answer": {"steps": [["v", "w + 12", "w + 15"], ["w", "h + 4", "h + 19"], ["h", "c + 14", "c + 33"], ["c", "s + 5", "s + 38"], ["s", "z + 3", "z + 41"], ["z", 4, "45"]], "target_var_name": "k", "target_value": 45, "value_dict": {"z": 4}, "is_reverse": true}}
| 3,632
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = 4; f = r + 2; r = u + 17; k = v + 3; s = z + 3; u = z + 20; g = f + 12; q = g + 8; n = q + 12; w = h + 4; v = w + 12; h = c + 14; c = s + 5. If z = 4, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 45,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = w + 12 to k, which gives k = w + 15.\n2. Substitute w = h + 4 to k, which gives k = h + 19.\n3. Substitute h = c + 14 to k, which gives k = c + 33.\n4. Substitute c = s + 5 to k, which gives k = s + 38.\n5. Substitute s = z + 3 to k, which gives k = z + 41.\n6. Substitute z = 4 to k, which gives k = 45.\n\nThus, the final answer is k = \\boxed{45}.",
"index": 3632,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = 4; f = r + 2; r = u + 17; k = v + 3; s = z + 3; u = z + 20; g = f + 12; q = g + 8; n = q + 12; w = h + 4; v = w + 12; h = c + 14; c = s + 5. If z = 4, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"c": "s + 15", "p": "c + 17", "l": "p + 4", "m": "l + 14", "j": "m + 5", "e": "j + 6", "q": "s + 8", "t": "q + 16", "y": "t + 12", "b": "y + 16", "r": "b + 2", "x": "r + 15", "s": 4}, "premises": {"s": 4}, "target": "e"}, "answer": {"steps": [["j", "m + 5", "m + 11"], ["m", "l + 14", "l + 25"], ["l", "p + 4", "p + 29"], ["p", "c + 17", "c + 46"], ["c", "s + 15", "s + 61"], ["s", 4, "65"]], "target_var_name": "e", "target_value": 65, "value_dict": {"s": 4}, "is_reverse": true}}
| 3,633
| 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 = r + 15; c = s + 15; m = l + 14; p = c + 17; l = p + 4; j = m + 5; q = s + 8; y = t + 12; t = q + 16; r = b + 2; s = 4; b = y + 16; e = j + 6. If s = 4, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = m + 5 to e, which gives e = m + 11.\n2. Substitute m = l + 14 to e, which gives e = l + 25.\n3. Substitute l = p + 4 to e, which gives e = p + 29.\n4. Substitute p = c + 17 to e, which gives e = c + 46.\n5. Substitute c = s + 15 to e, which gives e = s + 61.\n6. Substitute s = 4 to e, which gives e = 65.\n\nThus, the final answer is e = \\boxed{65}.",
"index": 3633,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = r + 15; c = s + 15; m = l + 14; p = c + 17; l = p + 4; j = m + 5; q = s + 8; y = t + 12; t = q + 16; r = b + 2; s = 4; b = y + 16; e = j + 6. If s = 4, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"m": "e + 16", "z": "m + 7", "y": "z + 3", "a": "y + 14", "s": "a + 18", "p": "s + 3", "k": "e + 9", "f": "k + 12", "c": "f + 1", "t": "c + 11", "d": "t + 2", "v": "d + 3", "e": 16}, "premises": {"e": 16}, "target": "p"}, "answer": {"steps": [["s", "a + 18", "a + 21"], ["a", "y + 14", "y + 35"], ["y", "z + 3", "z + 38"], ["z", "m + 7", "m + 45"], ["m", "e + 16", "e + 61"], ["e", 16, "77"]], "target_var_name": "p", "target_value": 77, "value_dict": {"e": 16}, "is_reverse": true}}
| 3,634
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = s + 3; e = 16; k = e + 9; a = y + 14; s = a + 18; m = e + 16; d = t + 2; z = m + 7; f = k + 12; c = f + 1; y = z + 3; v = d + 3; t = c + 11. If e = 16, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = a + 18 to p, which gives p = a + 21.\n2. Substitute a = y + 14 to p, which gives p = y + 35.\n3. Substitute y = z + 3 to p, which gives p = z + 38.\n4. Substitute z = m + 7 to p, which gives p = m + 45.\n5. Substitute m = e + 16 to p, which gives p = e + 61.\n6. Substitute e = 16 to p, which gives p = 77.\n\nThus, the final answer is p = \\boxed{77}.",
"index": 3634,
"question": "Consider a system of variables where each variable is defined as follows: p = s + 3; e = 16; k = e + 9; a = y + 14; s = a + 18; m = e + 16; d = t + 2; z = m + 7; f = k + 12; c = f + 1; y = z + 3; v = d + 3; t = c + 11. If e = 16, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"f": "g + 18", "c": "f + 14", "m": "c + 14", "s": "m + 8", "p": "s + 9", "b": "p + 1", "r": "g + 15", "z": "r + 5", "t": "z + 8", "v": "t + 10", "n": "v + 11", "w": "n + 3", "g": 13}, "premises": {"g": 13}, "target": "b"}, "answer": {"steps": [["p", "s + 9", "s + 10"], ["s", "m + 8", "m + 18"], ["m", "c + 14", "c + 32"], ["c", "f + 14", "f + 46"], ["f", "g + 18", "g + 64"], ["g", 13, "77"]], "target_var_name": "b", "target_value": 77, "value_dict": {"g": 13}, "is_reverse": true}}
| 3,635
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = v + 11; b = p + 1; t = z + 8; f = g + 18; m = c + 14; c = f + 14; p = s + 9; r = g + 15; w = n + 3; g = 13; z = r + 5; v = t + 10; s = m + 8. If g = 13, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = s + 9 to b, which gives b = s + 10.\n2. Substitute s = m + 8 to b, which gives b = m + 18.\n3. Substitute m = c + 14 to b, which gives b = c + 32.\n4. Substitute c = f + 14 to b, which gives b = f + 46.\n5. Substitute f = g + 18 to b, which gives b = g + 64.\n6. Substitute g = 13 to b, which gives b = 77.\n\nThus, the final answer is b = \\boxed{77}.",
"index": 3635,
"question": "Consider a system of variables where each variable is defined as follows: n = v + 11; b = p + 1; t = z + 8; f = g + 18; m = c + 14; c = f + 14; p = s + 9; r = g + 15; w = n + 3; g = 13; z = r + 5; v = t + 10; s = m + 8. If g = 13, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"u": "b + 2", "i": "u + 1", "a": "i + 3", "r": "a + 20", "j": "r + 2", "c": "j + 18", "h": "b + 6", "m": "h + 12", "g": "m + 12", "v": "g + 12", "e": "v + 17", "t": "e + 5", "b": 17}, "premises": {"b": 17}, "target": "c"}, "answer": {"steps": [["j", "r + 2", "r + 20"], ["r", "a + 20", "a + 40"], ["a", "i + 3", "i + 43"], ["i", "u + 1", "u + 44"], ["u", "b + 2", "b + 46"], ["b", 17, "63"]], "target_var_name": "c", "target_value": 63, "value_dict": {"b": 17}, "is_reverse": true}}
| 3,636
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = b + 6; b = 17; v = g + 12; t = e + 5; i = u + 1; r = a + 20; m = h + 12; a = i + 3; g = m + 12; e = v + 17; c = j + 18; u = b + 2; j = r + 2. Given that b = 17, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = r + 2 to c, which gives c = r + 20.\n2. Substitute r = a + 20 to c, which gives c = a + 40.\n3. Substitute a = i + 3 to c, which gives c = i + 43.\n4. Substitute i = u + 1 to c, which gives c = u + 44.\n5. Substitute u = b + 2 to c, which gives c = b + 46.\n6. Substitute b = 17 to c, which gives c = 63.\n\nThus, the final answer is c = \\boxed{63}.",
"index": 3636,
"question": "Suppose a collection of variables is related by the following definitions: h = b + 6; b = 17; v = g + 12; t = e + 5; i = u + 1; r = a + 20; m = h + 12; a = i + 3; g = m + 12; e = v + 17; c = j + 18; u = b + 2; j = r + 2. Given that b = 17, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"k": "v + 11", "r": "k + 15", "y": "r + 12", "p": "y + 14", "e": "p + 18", "j": "e + 3", "q": "v + 8", "m": "q + 16", "x": "m + 5", "n": "x + 20", "w": "n + 6", "l": "w + 7", "v": 15}, "premises": {"v": 15}, "target": "j"}, "answer": {"steps": [["e", "p + 18", "p + 21"], ["p", "y + 14", "y + 35"], ["y", "r + 12", "r + 47"], ["r", "k + 15", "k + 62"], ["k", "v + 11", "v + 73"], ["v", 15, "88"]], "target_var_name": "j", "target_value": 88, "value_dict": {"v": 15}, "is_reverse": true}}
| 3,637
| 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 = v + 8; x = m + 5; j = e + 3; w = n + 6; n = x + 20; k = v + 11; v = 15; p = y + 14; l = w + 7; y = r + 12; e = p + 18; m = q + 16; r = k + 15. If v = 15, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = p + 18 to j, which gives j = p + 21.\n2. Substitute p = y + 14 to j, which gives j = y + 35.\n3. Substitute y = r + 12 to j, which gives j = r + 47.\n4. Substitute r = k + 15 to j, which gives j = k + 62.\n5. Substitute k = v + 11 to j, which gives j = v + 73.\n6. Substitute v = 15 to j, which gives j = 88.\n\nThus, the final answer is j = \\boxed{88}.",
"index": 3637,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = v + 8; x = m + 5; j = e + 3; w = n + 6; n = x + 20; k = v + 11; v = 15; p = y + 14; l = w + 7; y = r + 12; e = p + 18; m = q + 16; r = k + 15. If v = 15, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"r": "g + 19", "i": "r + 10", "q": "i + 20", "l": "q + 10", "d": "l + 14", "p": "d + 4", "c": "g + 2", "n": "c + 3", "h": "n + 8", "j": "h + 2", "e": "j + 18", "s": "e + 14", "g": 8}, "premises": {"g": 8}, "target": "p"}, "answer": {"steps": [["d", "l + 14", "l + 18"], ["l", "q + 10", "q + 28"], ["q", "i + 20", "i + 48"], ["i", "r + 10", "r + 58"], ["r", "g + 19", "g + 77"], ["g", 8, "85"]], "target_var_name": "p", "target_value": 85, "value_dict": {"g": 8}, "is_reverse": true}}
| 3,638
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = h + 2; c = g + 2; d = l + 14; g = 8; i = r + 10; q = i + 20; s = e + 14; h = n + 8; p = d + 4; l = q + 10; r = g + 19; n = c + 3; e = j + 18. Given that g = 8, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = l + 14 to p, which gives p = l + 18.\n2. Substitute l = q + 10 to p, which gives p = q + 28.\n3. Substitute q = i + 20 to p, which gives p = i + 48.\n4. Substitute i = r + 10 to p, which gives p = r + 58.\n5. Substitute r = g + 19 to p, which gives p = g + 77.\n6. Substitute g = 8 to p, which gives p = 85.\n\nThus, the final answer is p = \\boxed{85}.",
"index": 3638,
"question": "Suppose a collection of variables is related by the following definitions: j = h + 2; c = g + 2; d = l + 14; g = 8; i = r + 10; q = i + 20; s = e + 14; h = n + 8; p = d + 4; l = q + 10; r = g + 19; n = c + 3; e = j + 18. Given that g = 8, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"f": "r + 6", "v": "f + 9", "g": "v + 9", "w": "g + 12", "o": "w + 12", "j": "o + 17", "t": "r + 14", "y": "t + 12", "a": "y + 7", "k": "a + 16", "i": "k + 10", "n": "i + 7", "r": 12}, "premises": {"r": 12}, "target": "j"}, "answer": {"steps": [["o", "w + 12", "w + 29"], ["w", "g + 12", "g + 41"], ["g", "v + 9", "v + 50"], ["v", "f + 9", "f + 59"], ["f", "r + 6", "r + 65"], ["r", 12, "77"]], "target_var_name": "j", "target_value": 77, "value_dict": {"r": 12}, "is_reverse": true}}
| 3,639
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = i + 7; y = t + 12; g = v + 9; v = f + 9; a = y + 7; j = o + 17; t = r + 14; k = a + 16; o = w + 12; r = 12; w = g + 12; f = r + 6; i = k + 10. If r = 12, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = w + 12 to j, which gives j = w + 29.\n2. Substitute w = g + 12 to j, which gives j = g + 41.\n3. Substitute g = v + 9 to j, which gives j = v + 50.\n4. Substitute v = f + 9 to j, which gives j = f + 59.\n5. Substitute f = r + 6 to j, which gives j = r + 65.\n6. Substitute r = 12 to j, which gives j = 77.\n\nThus, the final answer is j = \\boxed{77}.",
"index": 3639,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = i + 7; y = t + 12; g = v + 9; v = f + 9; a = y + 7; j = o + 17; t = r + 14; k = a + 16; o = w + 12; r = 12; w = g + 12; f = r + 6; i = k + 10. If r = 12, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"v": "z + 2", "y": "v + 14", "b": "y + 11", "g": "b + 14", "m": "g + 10", "f": "m + 4", "o": "z + 18", "t": "o + 7", "j": "t + 4", "p": "j + 7", "c": "p + 20", "i": "c + 18", "z": 10}, "premises": {"z": 10}, "target": "f"}, "answer": {"steps": [["m", "g + 10", "g + 14"], ["g", "b + 14", "b + 28"], ["b", "y + 11", "y + 39"], ["y", "v + 14", "v + 53"], ["v", "z + 2", "z + 55"], ["z", 10, "65"]], "target_var_name": "f", "target_value": 65, "value_dict": {"z": 10}, "is_reverse": true}}
| 3,640
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = z + 18; c = p + 20; m = g + 10; f = m + 4; j = t + 4; z = 10; t = o + 7; b = y + 11; y = v + 14; i = c + 18; g = b + 14; p = j + 7; v = z + 2. If z = 10, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = g + 10 to f, which gives f = g + 14.\n2. Substitute g = b + 14 to f, which gives f = b + 28.\n3. Substitute b = y + 11 to f, which gives f = y + 39.\n4. Substitute y = v + 14 to f, which gives f = v + 53.\n5. Substitute v = z + 2 to f, which gives f = z + 55.\n6. Substitute z = 10 to f, which gives f = 65.\n\nThus, the final answer is f = \\boxed{65}.",
"index": 3640,
"question": "Consider a system of variables where each variable is defined as follows: o = z + 18; c = p + 20; m = g + 10; f = m + 4; j = t + 4; z = 10; t = o + 7; b = y + 11; y = v + 14; i = c + 18; g = b + 14; p = j + 7; v = z + 2. If z = 10, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"w": "m + 6", "y": "w + 19", "g": "y + 3", "d": "g + 12", "j": "d + 9", "h": "j + 11", "t": "m + 8", "z": "t + 18", "v": "z + 13", "s": "v + 12", "u": "s + 2", "q": "u + 9", "m": 11}, "premises": {"m": 11}, "target": "h"}, "answer": {"steps": [["j", "d + 9", "d + 20"], ["d", "g + 12", "g + 32"], ["g", "y + 3", "y + 35"], ["y", "w + 19", "w + 54"], ["w", "m + 6", "m + 60"], ["m", 11, "71"]], "target_var_name": "h", "target_value": 71, "value_dict": {"m": 11}, "is_reverse": true}}
| 3,641
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = d + 9; v = z + 13; t = m + 8; u = s + 2; d = g + 12; m = 11; h = j + 11; z = t + 18; g = y + 3; q = u + 9; y = w + 19; s = v + 12; w = m + 6. If m = 11, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = d + 9 to h, which gives h = d + 20.\n2. Substitute d = g + 12 to h, which gives h = g + 32.\n3. Substitute g = y + 3 to h, which gives h = y + 35.\n4. Substitute y = w + 19 to h, which gives h = w + 54.\n5. Substitute w = m + 6 to h, which gives h = m + 60.\n6. Substitute m = 11 to h, which gives h = 71.\n\nThus, the final answer is h = \\boxed{71}.",
"index": 3641,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = d + 9; v = z + 13; t = m + 8; u = s + 2; d = g + 12; m = 11; h = j + 11; z = t + 18; g = y + 3; q = u + 9; y = w + 19; s = v + 12; w = m + 6. If m = 11, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"t": "h + 3", "u": "t + 10", "p": "u + 13", "c": "p + 14", "o": "c + 3", "i": "o + 6", "k": "h + 18", "g": "k + 5", "d": "g + 6", "f": "d + 13", "r": "f + 15", "q": "r + 18", "h": 14}, "premises": {"h": 14}, "target": "i"}, "answer": {"steps": [["o", "c + 3", "c + 9"], ["c", "p + 14", "p + 23"], ["p", "u + 13", "u + 36"], ["u", "t + 10", "t + 46"], ["t", "h + 3", "h + 49"], ["h", 14, "63"]], "target_var_name": "i", "target_value": 63, "value_dict": {"h": 14}, "is_reverse": true}}
| 3,642
| 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 = t + 10; t = h + 3; g = k + 5; c = p + 14; r = f + 15; k = h + 18; q = r + 18; o = c + 3; i = o + 6; h = 14; p = u + 13; d = g + 6; f = d + 13. If h = 14, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = c + 3 to i, which gives i = c + 9.\n2. Substitute c = p + 14 to i, which gives i = p + 23.\n3. Substitute p = u + 13 to i, which gives i = u + 36.\n4. Substitute u = t + 10 to i, which gives i = t + 46.\n5. Substitute t = h + 3 to i, which gives i = h + 49.\n6. Substitute h = 14 to i, which gives i = 63.\n\nThus, the final answer is i = \\boxed{63}.",
"index": 3642,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = t + 10; t = h + 3; g = k + 5; c = p + 14; r = f + 15; k = h + 18; q = r + 18; o = c + 3; i = o + 6; h = 14; p = u + 13; d = g + 6; f = d + 13. If h = 14, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"t": "u + 8", "o": "t + 3", "l": "o + 20", "c": "l + 19", "m": "c + 14", "j": "m + 17", "w": "u + 5", "q": "w + 16", "y": "q + 15", "r": "y + 17", "z": "r + 6", "d": "z + 11", "u": 13}, "premises": {"u": 13}, "target": "j"}, "answer": {"steps": [["m", "c + 14", "c + 31"], ["c", "l + 19", "l + 50"], ["l", "o + 20", "o + 70"], ["o", "t + 3", "t + 73"], ["t", "u + 8", "u + 81"], ["u", 13, "94"]], "target_var_name": "j", "target_value": 94, "value_dict": {"u": 13}, "is_reverse": true}}
| 3,643
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = w + 16; l = o + 20; y = q + 15; d = z + 11; o = t + 3; w = u + 5; m = c + 14; c = l + 19; z = r + 6; r = y + 17; u = 13; t = u + 8; j = m + 17. Given that u = 13, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = c + 14 to j, which gives j = c + 31.\n2. Substitute c = l + 19 to j, which gives j = l + 50.\n3. Substitute l = o + 20 to j, which gives j = o + 70.\n4. Substitute o = t + 3 to j, which gives j = t + 73.\n5. Substitute t = u + 8 to j, which gives j = u + 81.\n6. Substitute u = 13 to j, which gives j = 94.\n\nThus, the final answer is j = \\boxed{94}.",
"index": 3643,
"question": "Suppose a collection of variables is related by the following definitions: q = w + 16; l = o + 20; y = q + 15; d = z + 11; o = t + 3; w = u + 5; m = c + 14; c = l + 19; z = r + 6; r = y + 17; u = 13; t = u + 8; j = m + 17. Given that u = 13, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"t": "n + 7", "r": "t + 8", "o": "r + 17", "u": "o + 4", "b": "u + 9", "j": "b + 7", "g": "n + 5", "i": "g + 17", "d": "i + 16", "v": "d + 5", "x": "v + 8", "a": "x + 9", "n": 6}, "premises": {"n": 6}, "target": "j"}, "answer": {"steps": [["b", "u + 9", "u + 16"], ["u", "o + 4", "o + 20"], ["o", "r + 17", "r + 37"], ["r", "t + 8", "t + 45"], ["t", "n + 7", "n + 52"], ["n", 6, "58"]], "target_var_name": "j", "target_value": 58, "value_dict": {"n": 6}, "is_reverse": true}}
| 3,644
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = g + 17; x = v + 8; n = 6; b = u + 9; v = d + 5; u = o + 4; t = n + 7; j = b + 7; d = i + 16; a = x + 9; g = n + 5; o = r + 17; r = t + 8. If n = 6, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = u + 9 to j, which gives j = u + 16.\n2. Substitute u = o + 4 to j, which gives j = o + 20.\n3. Substitute o = r + 17 to j, which gives j = r + 37.\n4. Substitute r = t + 8 to j, which gives j = t + 45.\n5. Substitute t = n + 7 to j, which gives j = n + 52.\n6. Substitute n = 6 to j, which gives j = 58.\n\nThus, the final answer is j = \\boxed{58}.",
"index": 3644,
"question": "Consider a system of variables where each variable is defined as follows: i = g + 17; x = v + 8; n = 6; b = u + 9; v = d + 5; u = o + 4; t = n + 7; j = b + 7; d = i + 16; a = x + 9; g = n + 5; o = r + 17; r = t + 8. If n = 6, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"d": "w + 7", "a": "d + 3", "m": "a + 2", "x": "m + 2", "r": "x + 10", "g": "r + 2", "n": "w + 2", "s": "n + 9", "l": "s + 7", "u": "l + 15", "v": "u + 10", "p": "v + 2", "w": 3}, "premises": {"w": 3}, "target": "g"}, "answer": {"steps": [["r", "x + 10", "x + 12"], ["x", "m + 2", "m + 14"], ["m", "a + 2", "a + 16"], ["a", "d + 3", "d + 19"], ["d", "w + 7", "w + 26"], ["w", 3, "29"]], "target_var_name": "g", "target_value": 29, "value_dict": {"w": 3}, "is_reverse": true}}
| 3,645
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = w + 2; s = n + 9; x = m + 2; p = v + 2; w = 3; g = r + 2; m = a + 2; u = l + 15; v = u + 10; d = w + 7; a = d + 3; l = s + 7; r = x + 10. If w = 3, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 29,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = x + 10 to g, which gives g = x + 12.\n2. Substitute x = m + 2 to g, which gives g = m + 14.\n3. Substitute m = a + 2 to g, which gives g = a + 16.\n4. Substitute a = d + 3 to g, which gives g = d + 19.\n5. Substitute d = w + 7 to g, which gives g = w + 26.\n6. Substitute w = 3 to g, which gives g = 29.\n\nThus, the final answer is g = \\boxed{29}.",
"index": 3645,
"question": "Consider a system of variables where each variable is defined as follows: n = w + 2; s = n + 9; x = m + 2; p = v + 2; w = 3; g = r + 2; m = a + 2; u = l + 15; v = u + 10; d = w + 7; a = d + 3; l = s + 7; r = x + 10. If w = 3, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"g": "o + 16", "p": "g + 10", "a": "p + 1", "y": "a + 11", "j": "y + 6", "f": "j + 14", "n": "o + 10", "l": "n + 7", "e": "l + 2", "z": "e + 16", "t": "z + 12", "b": "t + 2", "o": 10}, "premises": {"o": 10}, "target": "f"}, "answer": {"steps": [["j", "y + 6", "y + 20"], ["y", "a + 11", "a + 31"], ["a", "p + 1", "p + 32"], ["p", "g + 10", "g + 42"], ["g", "o + 16", "o + 58"], ["o", 10, "68"]], "target_var_name": "f", "target_value": 68, "value_dict": {"o": 10}, "is_reverse": true}}
| 3,646
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = e + 16; p = g + 10; b = t + 2; n = o + 10; j = y + 6; l = n + 7; o = 10; e = l + 2; f = j + 14; a = p + 1; g = o + 16; y = a + 11; t = z + 12. Given that o = 10, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = y + 6 to f, which gives f = y + 20.\n2. Substitute y = a + 11 to f, which gives f = a + 31.\n3. Substitute a = p + 1 to f, which gives f = p + 32.\n4. Substitute p = g + 10 to f, which gives f = g + 42.\n5. Substitute g = o + 16 to f, which gives f = o + 58.\n6. Substitute o = 10 to f, which gives f = 68.\n\nThus, the final answer is f = \\boxed{68}.",
"index": 3646,
"question": "Suppose a collection of variables is related by the following definitions: z = e + 16; p = g + 10; b = t + 2; n = o + 10; j = y + 6; l = n + 7; o = 10; e = l + 2; f = j + 14; a = p + 1; g = o + 16; y = a + 11; t = z + 12. Given that o = 10, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"t": "n + 13", "v": "t + 11", "w": "v + 19", "u": "w + 16", "d": "u + 2", "g": "d + 20", "h": "n + 9", "y": "h + 7", "l": "y + 20", "c": "l + 19", "x": "c + 16", "p": "x + 16", "n": 7}, "premises": {"n": 7}, "target": "g"}, "answer": {"steps": [["d", "u + 2", "u + 22"], ["u", "w + 16", "w + 38"], ["w", "v + 19", "v + 57"], ["v", "t + 11", "t + 68"], ["t", "n + 13", "n + 81"], ["n", 7, "88"]], "target_var_name": "g", "target_value": 88, "value_dict": {"n": 7}, "is_reverse": true}}
| 3,647
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = n + 13; x = c + 16; l = y + 20; w = v + 19; g = d + 20; d = u + 2; c = l + 19; u = w + 16; h = n + 9; v = t + 11; n = 7; p = x + 16; y = h + 7. If n = 7, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = u + 2 to g, which gives g = u + 22.\n2. Substitute u = w + 16 to g, which gives g = w + 38.\n3. Substitute w = v + 19 to g, which gives g = v + 57.\n4. Substitute v = t + 11 to g, which gives g = t + 68.\n5. Substitute t = n + 13 to g, which gives g = n + 81.\n6. Substitute n = 7 to g, which gives g = 88.\n\nThus, the final answer is g = \\boxed{88}.",
"index": 3647,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = n + 13; x = c + 16; l = y + 20; w = v + 19; g = d + 20; d = u + 2; c = l + 19; u = w + 16; h = n + 9; v = t + 11; n = 7; p = x + 16; y = h + 7. If n = 7, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"u": "c + 7", "m": "u + 19", "x": "m + 12", "o": "x + 4", "f": "o + 9", "z": "f + 16", "p": "c + 13", "s": "p + 2", "n": "s + 20", "j": "n + 3", "w": "j + 9", "y": "w + 10", "c": 18}, "premises": {"c": 18}, "target": "z"}, "answer": {"steps": [["f", "o + 9", "o + 25"], ["o", "x + 4", "x + 29"], ["x", "m + 12", "m + 41"], ["m", "u + 19", "u + 60"], ["u", "c + 7", "c + 67"], ["c", 18, "85"]], "target_var_name": "z", "target_value": 85, "value_dict": {"c": 18}, "is_reverse": true}}
| 3,648
| 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 = c + 7; z = f + 16; n = s + 20; j = n + 3; c = 18; x = m + 12; w = j + 9; m = u + 19; f = o + 9; s = p + 2; o = x + 4; p = c + 13; y = w + 10. If c = 18, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = o + 9 to z, which gives z = o + 25.\n2. Substitute o = x + 4 to z, which gives z = x + 29.\n3. Substitute x = m + 12 to z, which gives z = m + 41.\n4. Substitute m = u + 19 to z, which gives z = u + 60.\n5. Substitute u = c + 7 to z, which gives z = c + 67.\n6. Substitute c = 18 to z, which gives z = 85.\n\nThus, the final answer is z = \\boxed{85}.",
"index": 3648,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = c + 7; z = f + 16; n = s + 20; j = n + 3; c = 18; x = m + 12; w = j + 9; m = u + 19; f = o + 9; s = p + 2; o = x + 4; p = c + 13; y = w + 10. If c = 18, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"h": "o + 16", "a": "h + 7", "q": "a + 4", "k": "q + 17", "p": "k + 20", "g": "p + 14", "b": "o + 20", "u": "b + 15", "c": "u + 8", "d": "c + 20", "w": "d + 10", "i": "w + 3", "o": 16}, "premises": {"o": 16}, "target": "g"}, "answer": {"steps": [["p", "k + 20", "k + 34"], ["k", "q + 17", "q + 51"], ["q", "a + 4", "a + 55"], ["a", "h + 7", "h + 62"], ["h", "o + 16", "o + 78"], ["o", 16, "94"]], "target_var_name": "g", "target_value": 94, "value_dict": {"o": 16}, "is_reverse": true}}
| 3,649
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = 16; w = d + 10; u = b + 15; g = p + 14; d = c + 20; q = a + 4; b = o + 20; h = o + 16; p = k + 20; i = w + 3; c = u + 8; a = h + 7; k = q + 17. If o = 16, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = k + 20 to g, which gives g = k + 34.\n2. Substitute k = q + 17 to g, which gives g = q + 51.\n3. Substitute q = a + 4 to g, which gives g = a + 55.\n4. Substitute a = h + 7 to g, which gives g = h + 62.\n5. Substitute h = o + 16 to g, which gives g = o + 78.\n6. Substitute o = 16 to g, which gives g = 94.\n\nThus, the final answer is g = \\boxed{94}.",
"index": 3649,
"question": "Consider a system of variables where each variable is defined as follows: o = 16; w = d + 10; u = b + 15; g = p + 14; d = c + 20; q = a + 4; b = o + 20; h = o + 16; p = k + 20; i = w + 3; c = u + 8; a = h + 7; k = q + 17. If o = 16, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"r": "g + 11", "j": "r + 20", "p": "j + 14", "w": "p + 1", "v": "w + 12", "t": "v + 3", "x": "g + 12", "z": "x + 19", "l": "z + 4", "u": "l + 5", "m": "u + 9", "b": "m + 10", "g": 13}, "premises": {"g": 13}, "target": "t"}, "answer": {"steps": [["v", "w + 12", "w + 15"], ["w", "p + 1", "p + 16"], ["p", "j + 14", "j + 30"], ["j", "r + 20", "r + 50"], ["r", "g + 11", "g + 61"], ["g", 13, "74"]], "target_var_name": "t", "target_value": 74, "value_dict": {"g": 13}, "is_reverse": true}}
| 3,650
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = r + 20; x = g + 12; v = w + 12; m = u + 9; b = m + 10; p = j + 14; t = v + 3; z = x + 19; g = 13; u = l + 5; r = g + 11; w = p + 1; l = z + 4. Given that g = 13, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = w + 12 to t, which gives t = w + 15.\n2. Substitute w = p + 1 to t, which gives t = p + 16.\n3. Substitute p = j + 14 to t, which gives t = j + 30.\n4. Substitute j = r + 20 to t, which gives t = r + 50.\n5. Substitute r = g + 11 to t, which gives t = g + 61.\n6. Substitute g = 13 to t, which gives t = 74.\n\nThus, the final answer is t = \\boxed{74}.",
"index": 3650,
"question": "Suppose a collection of variables is related by the following definitions: j = r + 20; x = g + 12; v = w + 12; m = u + 9; b = m + 10; p = j + 14; t = v + 3; z = x + 19; g = 13; u = l + 5; r = g + 11; w = p + 1; l = z + 4. Given that g = 13, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"h": "n + 17", "k": "h + 13", "w": "k + 1", "g": "w + 7", "v": "g + 4", "f": "v + 5", "a": "n + 16", "q": "a + 20", "y": "q + 4", "b": "y + 1", "c": "b + 11", "o": "c + 6", "n": 3}, "premises": {"n": 3}, "target": "f"}, "answer": {"steps": [["v", "g + 4", "g + 9"], ["g", "w + 7", "w + 16"], ["w", "k + 1", "k + 17"], ["k", "h + 13", "h + 30"], ["h", "n + 17", "n + 47"], ["n", 3, "50"]], "target_var_name": "f", "target_value": 50, "value_dict": {"n": 3}, "is_reverse": true}}
| 3,651
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = a + 20; f = v + 5; o = c + 6; n = 3; v = g + 4; h = n + 17; g = w + 7; b = y + 1; w = k + 1; y = q + 4; a = n + 16; c = b + 11; k = h + 13. Given that n = 3, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 50,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = g + 4 to f, which gives f = g + 9.\n2. Substitute g = w + 7 to f, which gives f = w + 16.\n3. Substitute w = k + 1 to f, which gives f = k + 17.\n4. Substitute k = h + 13 to f, which gives f = h + 30.\n5. Substitute h = n + 17 to f, which gives f = n + 47.\n6. Substitute n = 3 to f, which gives f = 50.\n\nThus, the final answer is f = \\boxed{50}.",
"index": 3651,
"question": "Suppose a collection of variables is related by the following definitions: q = a + 20; f = v + 5; o = c + 6; n = 3; v = g + 4; h = n + 17; g = w + 7; b = y + 1; w = k + 1; y = q + 4; a = n + 16; c = b + 11; k = h + 13. Given that n = 3, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"u": "g + 1", "w": "u + 20", "p": "w + 14", "c": "p + 8", "d": "c + 7", "f": "d + 18", "q": "g + 12", "h": "q + 5", "a": "h + 7", "t": "a + 7", "k": "t + 3", "o": "k + 16", "g": 3}, "premises": {"g": 3}, "target": "f"}, "answer": {"steps": [["d", "c + 7", "c + 25"], ["c", "p + 8", "p + 33"], ["p", "w + 14", "w + 47"], ["w", "u + 20", "u + 67"], ["u", "g + 1", "g + 68"], ["g", 3, "71"]], "target_var_name": "f", "target_value": 71, "value_dict": {"g": 3}, "is_reverse": true}}
| 3,652
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = d + 18; c = p + 8; u = g + 1; o = k + 16; q = g + 12; t = a + 7; d = c + 7; h = q + 5; a = h + 7; g = 3; w = u + 20; k = t + 3; p = w + 14. If g = 3, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = c + 7 to f, which gives f = c + 25.\n2. Substitute c = p + 8 to f, which gives f = p + 33.\n3. Substitute p = w + 14 to f, which gives f = w + 47.\n4. Substitute w = u + 20 to f, which gives f = u + 67.\n5. Substitute u = g + 1 to f, which gives f = g + 68.\n6. Substitute g = 3 to f, which gives f = 71.\n\nThus, the final answer is f = \\boxed{71}.",
"index": 3652,
"question": "Consider a system of variables where each variable is defined as follows: f = d + 18; c = p + 8; u = g + 1; o = k + 16; q = g + 12; t = a + 7; d = c + 7; h = q + 5; a = h + 7; g = 3; w = u + 20; k = t + 3; p = w + 14. If g = 3, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"b": "e + 16", "z": "b + 16", "l": "z + 1", "x": "l + 15", "v": "x + 13", "y": "v + 18", "q": "e + 20", "o": "q + 5", "s": "o + 9", "t": "s + 9", "d": "t + 5", "a": "d + 12", "e": 20}, "premises": {"e": 20}, "target": "y"}, "answer": {"steps": [["v", "x + 13", "x + 31"], ["x", "l + 15", "l + 46"], ["l", "z + 1", "z + 47"], ["z", "b + 16", "b + 63"], ["b", "e + 16", "e + 79"], ["e", 20, "99"]], "target_var_name": "y", "target_value": 99, "value_dict": {"e": 20}, "is_reverse": true}}
| 3,653
| 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 = d + 12; x = l + 15; z = b + 16; b = e + 16; t = s + 9; d = t + 5; o = q + 5; e = 20; q = e + 20; v = x + 13; l = z + 1; s = o + 9; y = v + 18. If e = 20, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 99,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = x + 13 to y, which gives y = x + 31.\n2. Substitute x = l + 15 to y, which gives y = l + 46.\n3. Substitute l = z + 1 to y, which gives y = z + 47.\n4. Substitute z = b + 16 to y, which gives y = b + 63.\n5. Substitute b = e + 16 to y, which gives y = e + 79.\n6. Substitute e = 20 to y, which gives y = 99.\n\nThus, the final answer is y = \\boxed{99}.",
"index": 3653,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = d + 12; x = l + 15; z = b + 16; b = e + 16; t = s + 9; d = t + 5; o = q + 5; e = 20; q = e + 20; v = x + 13; l = z + 1; s = o + 9; y = v + 18. If e = 20, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"t": "f + 2", "d": "t + 19", "i": "d + 4", "g": "i + 3", "u": "g + 6", "b": "u + 7", "e": "f + 15", "k": "e + 14", "r": "k + 8", "s": "r + 19", "c": "s + 18", "n": "c + 9", "f": 3}, "premises": {"f": 3}, "target": "b"}, "answer": {"steps": [["u", "g + 6", "g + 13"], ["g", "i + 3", "i + 16"], ["i", "d + 4", "d + 20"], ["d", "t + 19", "t + 39"], ["t", "f + 2", "f + 41"], ["f", 3, "44"]], "target_var_name": "b", "target_value": 44, "value_dict": {"f": 3}, "is_reverse": true}}
| 3,654
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = k + 8; t = f + 2; e = f + 15; s = r + 19; f = 3; i = d + 4; g = i + 3; d = t + 19; c = s + 18; b = u + 7; u = g + 6; n = c + 9; k = e + 14. Given that f = 3, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 44,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = g + 6 to b, which gives b = g + 13.\n2. Substitute g = i + 3 to b, which gives b = i + 16.\n3. Substitute i = d + 4 to b, which gives b = d + 20.\n4. Substitute d = t + 19 to b, which gives b = t + 39.\n5. Substitute t = f + 2 to b, which gives b = f + 41.\n6. Substitute f = 3 to b, which gives b = 44.\n\nThus, the final answer is b = \\boxed{44}.",
"index": 3654,
"question": "Suppose a collection of variables is related by the following definitions: r = k + 8; t = f + 2; e = f + 15; s = r + 19; f = 3; i = d + 4; g = i + 3; d = t + 19; c = s + 18; b = u + 7; u = g + 6; n = c + 9; k = e + 14. Given that f = 3, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"w": "b + 18", "v": "w + 13", "z": "v + 9", "u": "z + 2", "s": "u + 6", "y": "s + 11", "m": "b + 14", "c": "m + 2", "n": "c + 1", "o": "n + 4", "f": "o + 7", "j": "f + 15", "b": 3}, "premises": {"b": 3}, "target": "y"}, "answer": {"steps": [["s", "u + 6", "u + 17"], ["u", "z + 2", "z + 19"], ["z", "v + 9", "v + 28"], ["v", "w + 13", "w + 41"], ["w", "b + 18", "b + 59"], ["b", 3, "62"]], "target_var_name": "y", "target_value": 62, "value_dict": {"b": 3}, "is_reverse": true}}
| 3,655
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = w + 13; y = s + 11; j = f + 15; w = b + 18; z = v + 9; s = u + 6; u = z + 2; c = m + 2; o = n + 4; n = c + 1; f = o + 7; m = b + 14; b = 3. Given that b = 3, find the 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 s = u + 6 to y, which gives y = u + 17.\n2. Substitute u = z + 2 to y, which gives y = z + 19.\n3. Substitute z = v + 9 to y, which gives y = v + 28.\n4. Substitute v = w + 13 to y, which gives y = w + 41.\n5. Substitute w = b + 18 to y, which gives y = b + 59.\n6. Substitute b = 3 to y, which gives y = 62.\n\nThus, the final answer is y = \\boxed{62}.",
"index": 3655,
"question": "Suppose a collection of variables is related by the following definitions: v = w + 13; y = s + 11; j = f + 15; w = b + 18; z = v + 9; s = u + 6; u = z + 2; c = m + 2; o = n + 4; n = c + 1; f = o + 7; m = b + 14; b = 3. Given that b = 3, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"j": "m + 4", "p": "j + 11", "f": "p + 10", "e": "f + 10", "r": "e + 10", "t": "r + 2", "n": "m + 6", "o": "n + 19", "q": "o + 6", "v": "q + 12", "w": "v + 19", "i": "w + 3", "m": 9}, "premises": {"m": 9}, "target": "t"}, "answer": {"steps": [["r", "e + 10", "e + 12"], ["e", "f + 10", "f + 22"], ["f", "p + 10", "p + 32"], ["p", "j + 11", "j + 43"], ["j", "m + 4", "m + 47"], ["m", 9, "56"]], "target_var_name": "t", "target_value": 56, "value_dict": {"m": 9}, "is_reverse": true}}
| 3,656
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = m + 4; m = 9; t = r + 2; i = w + 3; e = f + 10; r = e + 10; f = p + 10; o = n + 19; p = j + 11; v = q + 12; q = o + 6; n = m + 6; w = v + 19. Given that m = 9, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = e + 10 to t, which gives t = e + 12.\n2. Substitute e = f + 10 to t, which gives t = f + 22.\n3. Substitute f = p + 10 to t, which gives t = p + 32.\n4. Substitute p = j + 11 to t, which gives t = j + 43.\n5. Substitute j = m + 4 to t, which gives t = m + 47.\n6. Substitute m = 9 to t, which gives t = 56.\n\nThus, the final answer is t = \\boxed{56}.",
"index": 3656,
"question": "Suppose a collection of variables is related by the following definitions: j = m + 4; m = 9; t = r + 2; i = w + 3; e = f + 10; r = e + 10; f = p + 10; o = n + 19; p = j + 11; v = q + 12; q = o + 6; n = m + 6; w = v + 19. Given that m = 9, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"c": "f + 2", "a": "c + 19", "n": "a + 10", "i": "n + 14", "s": "i + 15", "q": "s + 8", "l": "f + 1", "v": "l + 5", "g": "v + 20", "y": "g + 3", "m": "y + 7", "w": "m + 16", "f": 2}, "premises": {"f": 2}, "target": "q"}, "answer": {"steps": [["s", "i + 15", "i + 23"], ["i", "n + 14", "n + 37"], ["n", "a + 10", "a + 47"], ["a", "c + 19", "c + 66"], ["c", "f + 2", "f + 68"], ["f", 2, "70"]], "target_var_name": "q", "target_value": 70, "value_dict": {"f": 2}, "is_reverse": true}}
| 3,657
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = y + 7; f = 2; w = m + 16; v = l + 5; s = i + 15; c = f + 2; i = n + 14; q = s + 8; a = c + 19; g = v + 20; n = a + 10; l = f + 1; y = g + 3. Given that f = 2, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = i + 15 to q, which gives q = i + 23.\n2. Substitute i = n + 14 to q, which gives q = n + 37.\n3. Substitute n = a + 10 to q, which gives q = a + 47.\n4. Substitute a = c + 19 to q, which gives q = c + 66.\n5. Substitute c = f + 2 to q, which gives q = f + 68.\n6. Substitute f = 2 to q, which gives q = 70.\n\nThus, the final answer is q = \\boxed{70}.",
"index": 3657,
"question": "Suppose a collection of variables is related by the following definitions: m = y + 7; f = 2; w = m + 16; v = l + 5; s = i + 15; c = f + 2; i = n + 14; q = s + 8; a = c + 19; g = v + 20; n = a + 10; l = f + 1; y = g + 3. Given that f = 2, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"q": "j + 3", "r": "q + 7", "d": "r + 12", "n": "d + 5", "u": "n + 12", "g": "u + 2", "x": "j + 18", "o": "x + 9", "s": "o + 17", "k": "s + 4", "v": "k + 17", "t": "v + 8", "j": 2}, "premises": {"j": 2}, "target": "g"}, "answer": {"steps": [["u", "n + 12", "n + 14"], ["n", "d + 5", "d + 19"], ["d", "r + 12", "r + 31"], ["r", "q + 7", "q + 38"], ["q", "j + 3", "j + 41"], ["j", 2, "43"]], "target_var_name": "g", "target_value": 43, "value_dict": {"j": 2}, "is_reverse": true}}
| 3,658
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = v + 8; s = o + 17; k = s + 4; u = n + 12; j = 2; q = j + 3; d = r + 12; v = k + 17; o = x + 9; r = q + 7; x = j + 18; g = u + 2; n = d + 5. If j = 2, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 43,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = n + 12 to g, which gives g = n + 14.\n2. Substitute n = d + 5 to g, which gives g = d + 19.\n3. Substitute d = r + 12 to g, which gives g = r + 31.\n4. Substitute r = q + 7 to g, which gives g = q + 38.\n5. Substitute q = j + 3 to g, which gives g = j + 41.\n6. Substitute j = 2 to g, which gives g = 43.\n\nThus, the final answer is g = \\boxed{43}.",
"index": 3658,
"question": "Consider a system of variables where each variable is defined as follows: t = v + 8; s = o + 17; k = s + 4; u = n + 12; j = 2; q = j + 3; d = r + 12; v = k + 17; o = x + 9; r = q + 7; x = j + 18; g = u + 2; n = d + 5. If j = 2, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"e": "u + 20", "g": "e + 3", "r": "g + 12", "n": "r + 4", "b": "n + 10", "z": "b + 2", "a": "u + 9", "m": "a + 9", "t": "m + 4", "s": "t + 18", "c": "s + 13", "x": "c + 16", "u": 17}, "premises": {"u": 17}, "target": "z"}, "answer": {"steps": [["b", "n + 10", "n + 12"], ["n", "r + 4", "r + 16"], ["r", "g + 12", "g + 28"], ["g", "e + 3", "e + 31"], ["e", "u + 20", "u + 51"], ["u", 17, "68"]], "target_var_name": "z", "target_value": 68, "value_dict": {"u": 17}, "is_reverse": true}}
| 3,659
| 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 = b + 2; a = u + 9; g = e + 3; r = g + 12; s = t + 18; t = m + 4; c = s + 13; u = 17; m = a + 9; x = c + 16; e = u + 20; n = r + 4; b = n + 10. If u = 17, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = n + 10 to z, which gives z = n + 12.\n2. Substitute n = r + 4 to z, which gives z = r + 16.\n3. Substitute r = g + 12 to z, which gives z = g + 28.\n4. Substitute g = e + 3 to z, which gives z = e + 31.\n5. Substitute e = u + 20 to z, which gives z = u + 51.\n6. Substitute u = 17 to z, which gives z = 68.\n\nThus, the final answer is z = \\boxed{68}.",
"index": 3659,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = b + 2; a = u + 9; g = e + 3; r = g + 12; s = t + 18; t = m + 4; c = s + 13; u = 17; m = a + 9; x = c + 16; e = u + 20; n = r + 4; b = n + 10. If u = 17, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"m": "h + 3", "c": "m + 18", "n": "c + 20", "e": "n + 16", "q": "e + 17", "g": "q + 2", "p": "h + 19", "w": "p + 13", "a": "w + 15", "t": "a + 15", "u": "t + 2", "v": "u + 13", "h": 15}, "premises": {"h": 15}, "target": "g"}, "answer": {"steps": [["q", "e + 17", "e + 19"], ["e", "n + 16", "n + 35"], ["n", "c + 20", "c + 55"], ["c", "m + 18", "m + 73"], ["m", "h + 3", "h + 76"], ["h", 15, "91"]], "target_var_name": "g", "target_value": 91, "value_dict": {"h": 15}, "is_reverse": true}}
| 3,660
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = c + 20; u = t + 2; w = p + 13; v = u + 13; t = a + 15; g = q + 2; e = n + 16; m = h + 3; h = 15; q = e + 17; c = m + 18; a = w + 15; p = h + 19. Given that h = 15, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = e + 17 to g, which gives g = e + 19.\n2. Substitute e = n + 16 to g, which gives g = n + 35.\n3. Substitute n = c + 20 to g, which gives g = c + 55.\n4. Substitute c = m + 18 to g, which gives g = m + 73.\n5. Substitute m = h + 3 to g, which gives g = h + 76.\n6. Substitute h = 15 to g, which gives g = 91.\n\nThus, the final answer is g = \\boxed{91}.",
"index": 3660,
"question": "Suppose a collection of variables is related by the following definitions: n = c + 20; u = t + 2; w = p + 13; v = u + 13; t = a + 15; g = q + 2; e = n + 16; m = h + 3; h = 15; q = e + 17; c = m + 18; a = w + 15; p = h + 19. Given that h = 15, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"g": "w + 17", "l": "g + 12", "y": "l + 15", "b": "y + 19", "q": "b + 6", "v": "q + 2", "x": "w + 17", "h": "x + 2", "i": "h + 2", "u": "i + 11", "e": "u + 9", "z": "e + 1", "w": 20}, "premises": {"w": 20}, "target": "v"}, "answer": {"steps": [["q", "b + 6", "b + 8"], ["b", "y + 19", "y + 27"], ["y", "l + 15", "l + 42"], ["l", "g + 12", "g + 54"], ["g", "w + 17", "w + 71"], ["w", 20, "91"]], "target_var_name": "v", "target_value": 91, "value_dict": {"w": 20}, "is_reverse": true}}
| 3,661
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = w + 17; b = y + 19; l = g + 12; i = h + 2; v = q + 2; h = x + 2; q = b + 6; u = i + 11; y = l + 15; e = u + 9; z = e + 1; x = w + 17; w = 20. Given that w = 20, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = b + 6 to v, which gives v = b + 8.\n2. Substitute b = y + 19 to v, which gives v = y + 27.\n3. Substitute y = l + 15 to v, which gives v = l + 42.\n4. Substitute l = g + 12 to v, which gives v = g + 54.\n5. Substitute g = w + 17 to v, which gives v = w + 71.\n6. Substitute w = 20 to v, which gives v = 91.\n\nThus, the final answer is v = \\boxed{91}.",
"index": 3661,
"question": "Suppose a collection of variables is related by the following definitions: g = w + 17; b = y + 19; l = g + 12; i = h + 2; v = q + 2; h = x + 2; q = b + 6; u = i + 11; y = l + 15; e = u + 9; z = e + 1; x = w + 17; w = 20. Given that w = 20, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"x": "b + 5", "j": "x + 1", "h": "j + 7", "k": "h + 7", "a": "k + 13", "i": "a + 9", "p": "b + 14", "c": "p + 1", "d": "c + 17", "s": "d + 7", "e": "s + 4", "t": "e + 20", "b": 12}, "premises": {"b": 12}, "target": "i"}, "answer": {"steps": [["a", "k + 13", "k + 22"], ["k", "h + 7", "h + 29"], ["h", "j + 7", "j + 36"], ["j", "x + 1", "x + 37"], ["x", "b + 5", "b + 42"], ["b", 12, "54"]], "target_var_name": "i", "target_value": 54, "value_dict": {"b": 12}, "is_reverse": true}}
| 3,662
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = k + 13; t = e + 20; d = c + 17; k = h + 7; i = a + 9; j = x + 1; x = b + 5; b = 12; e = s + 4; h = j + 7; p = b + 14; s = d + 7; c = p + 1. If b = 12, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = k + 13 to i, which gives i = k + 22.\n2. Substitute k = h + 7 to i, which gives i = h + 29.\n3. Substitute h = j + 7 to i, which gives i = j + 36.\n4. Substitute j = x + 1 to i, which gives i = x + 37.\n5. Substitute x = b + 5 to i, which gives i = b + 42.\n6. Substitute b = 12 to i, which gives i = 54.\n\nThus, the final answer is i = \\boxed{54}.",
"index": 3662,
"question": "Consider a system of variables where each variable is defined as follows: a = k + 13; t = e + 20; d = c + 17; k = h + 7; i = a + 9; j = x + 1; x = b + 5; b = 12; e = s + 4; h = j + 7; p = b + 14; s = d + 7; c = p + 1. If b = 12, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"l": "k + 12", "a": "l + 1", "c": "a + 5", "w": "c + 7", "v": "w + 7", "g": "v + 10", "o": "k + 12", "s": "o + 15", "b": "s + 20", "q": "b + 10", "i": "q + 13", "y": "i + 13", "k": 7}, "premises": {"k": 7}, "target": "g"}, "answer": {"steps": [["v", "w + 7", "w + 17"], ["w", "c + 7", "c + 24"], ["c", "a + 5", "a + 29"], ["a", "l + 1", "l + 30"], ["l", "k + 12", "k + 42"], ["k", 7, "49"]], "target_var_name": "g", "target_value": 49, "value_dict": {"k": 7}, "is_reverse": true}}
| 3,663
| 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 = b + 10; a = l + 1; g = v + 10; o = k + 12; l = k + 12; v = w + 7; w = c + 7; c = a + 5; s = o + 15; k = 7; b = s + 20; i = q + 13; y = i + 13. If k = 7, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = w + 7 to g, which gives g = w + 17.\n2. Substitute w = c + 7 to g, which gives g = c + 24.\n3. Substitute c = a + 5 to g, which gives g = a + 29.\n4. Substitute a = l + 1 to g, which gives g = l + 30.\n5. Substitute l = k + 12 to g, which gives g = k + 42.\n6. Substitute k = 7 to g, which gives g = 49.\n\nThus, the final answer is g = \\boxed{49}.",
"index": 3663,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = b + 10; a = l + 1; g = v + 10; o = k + 12; l = k + 12; v = w + 7; w = c + 7; c = a + 5; s = o + 15; k = 7; b = s + 20; i = q + 13; y = i + 13. If k = 7, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"m": "q + 5", "e": "m + 17", "w": "e + 5", "r": "w + 3", "s": "r + 4", "x": "s + 19", "b": "q + 1", "o": "b + 2", "n": "o + 12", "h": "n + 14", "c": "h + 18", "k": "c + 1", "q": 16}, "premises": {"q": 16}, "target": "x"}, "answer": {"steps": [["s", "r + 4", "r + 23"], ["r", "w + 3", "w + 26"], ["w", "e + 5", "e + 31"], ["e", "m + 17", "m + 48"], ["m", "q + 5", "q + 53"], ["q", 16, "69"]], "target_var_name": "x", "target_value": 69, "value_dict": {"q": 16}, "is_reverse": true}}
| 3,664
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = o + 12; m = q + 5; k = c + 1; s = r + 4; o = b + 2; x = s + 19; r = w + 3; e = m + 17; c = h + 18; w = e + 5; q = 16; h = n + 14; b = q + 1. If q = 16, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = r + 4 to x, which gives x = r + 23.\n2. Substitute r = w + 3 to x, which gives x = w + 26.\n3. Substitute w = e + 5 to x, which gives x = e + 31.\n4. Substitute e = m + 17 to x, which gives x = m + 48.\n5. Substitute m = q + 5 to x, which gives x = q + 53.\n6. Substitute q = 16 to x, which gives x = 69.\n\nThus, the final answer is x = \\boxed{69}.",
"index": 3664,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = o + 12; m = q + 5; k = c + 1; s = r + 4; o = b + 2; x = s + 19; r = w + 3; e = m + 17; c = h + 18; w = e + 5; q = 16; h = n + 14; b = q + 1. If q = 16, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"v": "i + 17", "m": "v + 14", "r": "m + 10", "c": "r + 11", "l": "c + 9", "z": "l + 1", "g": "i + 10", "x": "g + 3", "j": "x + 3", "o": "j + 1", "s": "o + 19", "e": "s + 1", "i": 12}, "premises": {"i": 12}, "target": "z"}, "answer": {"steps": [["l", "c + 9", "c + 10"], ["c", "r + 11", "r + 21"], ["r", "m + 10", "m + 31"], ["m", "v + 14", "v + 45"], ["v", "i + 17", "i + 62"], ["i", 12, "74"]], "target_var_name": "z", "target_value": 74, "value_dict": {"i": 12}, "is_reverse": true}}
| 3,665
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = g + 3; m = v + 14; o = j + 1; c = r + 11; e = s + 1; z = l + 1; s = o + 19; g = i + 10; r = m + 10; l = c + 9; i = 12; j = x + 3; v = i + 17. If i = 12, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = c + 9 to z, which gives z = c + 10.\n2. Substitute c = r + 11 to z, which gives z = r + 21.\n3. Substitute r = m + 10 to z, which gives z = m + 31.\n4. Substitute m = v + 14 to z, which gives z = v + 45.\n5. Substitute v = i + 17 to z, which gives z = i + 62.\n6. Substitute i = 12 to z, which gives z = 74.\n\nThus, the final answer is z = \\boxed{74}.",
"index": 3665,
"question": "Consider a system of variables where each variable is defined as follows: x = g + 3; m = v + 14; o = j + 1; c = r + 11; e = s + 1; z = l + 1; s = o + 19; g = i + 10; r = m + 10; l = c + 9; i = 12; j = x + 3; v = i + 17. If i = 12, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"y": "v + 16", "g": "y + 15", "k": "g + 19", "x": "k + 16", "f": "x + 13", "l": "f + 19", "c": "v + 6", "d": "c + 18", "o": "d + 7", "r": "o + 6", "w": "r + 20", "e": "w + 4", "v": 1}, "premises": {"v": 1}, "target": "l"}, "answer": {"steps": [["f", "x + 13", "x + 32"], ["x", "k + 16", "k + 48"], ["k", "g + 19", "g + 67"], ["g", "y + 15", "y + 82"], ["y", "v + 16", "v + 98"], ["v", 1, "99"]], "target_var_name": "l", "target_value": 99, "value_dict": {"v": 1}, "is_reverse": true}}
| 3,666
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = o + 6; e = w + 4; k = g + 19; v = 1; f = x + 13; x = k + 16; l = f + 19; c = v + 6; w = r + 20; o = d + 7; y = v + 16; g = y + 15; d = c + 18. If v = 1, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 99,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = x + 13 to l, which gives l = x + 32.\n2. Substitute x = k + 16 to l, which gives l = k + 48.\n3. Substitute k = g + 19 to l, which gives l = g + 67.\n4. Substitute g = y + 15 to l, which gives l = y + 82.\n5. Substitute y = v + 16 to l, which gives l = v + 98.\n6. Substitute v = 1 to l, which gives l = 99.\n\nThus, the final answer is l = \\boxed{99}.",
"index": 3666,
"question": "Consider a system of variables where each variable is defined as follows: r = o + 6; e = w + 4; k = g + 19; v = 1; f = x + 13; x = k + 16; l = f + 19; c = v + 6; w = r + 20; o = d + 7; y = v + 16; g = y + 15; d = c + 18. If v = 1, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"t": "j + 7", "w": "t + 14", "v": "w + 18", "c": "v + 17", "m": "c + 17", "f": "m + 12", "x": "j + 9", "q": "x + 9", "y": "q + 18", "h": "y + 4", "n": "h + 4", "s": "n + 17", "j": 16}, "premises": {"j": 16}, "target": "f"}, "answer": {"steps": [["m", "c + 17", "c + 29"], ["c", "v + 17", "v + 46"], ["v", "w + 18", "w + 64"], ["w", "t + 14", "t + 78"], ["t", "j + 7", "j + 85"], ["j", 16, "101"]], "target_var_name": "f", "target_value": 101, "value_dict": {"j": 16}, "is_reverse": true}}
| 3,667
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = w + 18; q = x + 9; f = m + 12; y = q + 18; m = c + 17; n = h + 4; j = 16; h = y + 4; x = j + 9; s = n + 17; w = t + 14; c = v + 17; t = j + 7. Given that j = 16, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 101,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = c + 17 to f, which gives f = c + 29.\n2. Substitute c = v + 17 to f, which gives f = v + 46.\n3. Substitute v = w + 18 to f, which gives f = w + 64.\n4. Substitute w = t + 14 to f, which gives f = t + 78.\n5. Substitute t = j + 7 to f, which gives f = j + 85.\n6. Substitute j = 16 to f, which gives f = 101.\n\nThus, the final answer is f = \\boxed{101}.",
"index": 3667,
"question": "Suppose a collection of variables is related by the following definitions: v = w + 18; q = x + 9; f = m + 12; y = q + 18; m = c + 17; n = h + 4; j = 16; h = y + 4; x = j + 9; s = n + 17; w = t + 14; c = v + 17; t = j + 7. Given that j = 16, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"o": "i + 8", "y": "o + 16", "x": "y + 18", "k": "x + 12", "n": "k + 20", "t": "n + 3", "w": "i + 15", "r": "w + 18", "f": "r + 8", "j": "f + 15", "l": "j + 8", "a": "l + 7", "i": 1}, "premises": {"i": 1}, "target": "t"}, "answer": {"steps": [["n", "k + 20", "k + 23"], ["k", "x + 12", "x + 35"], ["x", "y + 18", "y + 53"], ["y", "o + 16", "o + 69"], ["o", "i + 8", "i + 77"], ["i", 1, "78"]], "target_var_name": "t", "target_value": 78, "value_dict": {"i": 1}, "is_reverse": true}}
| 3,668
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = y + 18; j = f + 15; a = l + 7; w = i + 15; o = i + 8; f = r + 8; l = j + 8; k = x + 12; r = w + 18; t = n + 3; y = o + 16; n = k + 20; i = 1. If i = 1, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = k + 20 to t, which gives t = k + 23.\n2. Substitute k = x + 12 to t, which gives t = x + 35.\n3. Substitute x = y + 18 to t, which gives t = y + 53.\n4. Substitute y = o + 16 to t, which gives t = o + 69.\n5. Substitute o = i + 8 to t, which gives t = i + 77.\n6. Substitute i = 1 to t, which gives t = 78.\n\nThus, the final answer is t = \\boxed{78}.",
"index": 3668,
"question": "Consider a system of variables where each variable is defined as follows: x = y + 18; j = f + 15; a = l + 7; w = i + 15; o = i + 8; f = r + 8; l = j + 8; k = x + 12; r = w + 18; t = n + 3; y = o + 16; n = k + 20; i = 1. If i = 1, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"n": "x + 17", "b": "n + 17", "d": "b + 4", "i": "d + 19", "j": "i + 15", "k": "j + 2", "f": "x + 19", "q": "f + 6", "l": "q + 13", "c": "l + 14", "g": "c + 13", "y": "g + 3", "x": 12}, "premises": {"x": 12}, "target": "k"}, "answer": {"steps": [["j", "i + 15", "i + 17"], ["i", "d + 19", "d + 36"], ["d", "b + 4", "b + 40"], ["b", "n + 17", "n + 57"], ["n", "x + 17", "x + 74"], ["x", 12, "86"]], "target_var_name": "k", "target_value": 86, "value_dict": {"x": 12}, "is_reverse": true}}
| 3,669
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = q + 13; f = x + 19; c = l + 14; d = b + 4; n = x + 17; b = n + 17; x = 12; k = j + 2; i = d + 19; y = g + 3; q = f + 6; j = i + 15; g = c + 13. Given that x = 12, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = i + 15 to k, which gives k = i + 17.\n2. Substitute i = d + 19 to k, which gives k = d + 36.\n3. Substitute d = b + 4 to k, which gives k = b + 40.\n4. Substitute b = n + 17 to k, which gives k = n + 57.\n5. Substitute n = x + 17 to k, which gives k = x + 74.\n6. Substitute x = 12 to k, which gives k = 86.\n\nThus, the final answer is k = \\boxed{86}.",
"index": 3669,
"question": "Suppose a collection of variables is related by the following definitions: l = q + 13; f = x + 19; c = l + 14; d = b + 4; n = x + 17; b = n + 17; x = 12; k = j + 2; i = d + 19; y = g + 3; q = f + 6; j = i + 15; g = c + 13. Given that x = 12, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"w": "m + 10", "v": "w + 19", "y": "v + 7", "e": "y + 2", "u": "e + 13", "t": "u + 10", "c": "m + 12", "i": "c + 18", "r": "i + 14", "b": "r + 3", "s": "b + 12", "p": "s + 17", "m": 8}, "premises": {"m": 8}, "target": "t"}, "answer": {"steps": [["u", "e + 13", "e + 23"], ["e", "y + 2", "y + 25"], ["y", "v + 7", "v + 32"], ["v", "w + 19", "w + 51"], ["w", "m + 10", "m + 61"], ["m", 8, "69"]], "target_var_name": "t", "target_value": 69, "value_dict": {"m": 8}, "is_reverse": true}}
| 3,670
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = c + 18; b = r + 3; w = m + 10; v = w + 19; s = b + 12; p = s + 17; u = e + 13; c = m + 12; e = y + 2; m = 8; t = u + 10; y = v + 7; r = i + 14. Given that m = 8, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = e + 13 to t, which gives t = e + 23.\n2. Substitute e = y + 2 to t, which gives t = y + 25.\n3. Substitute y = v + 7 to t, which gives t = v + 32.\n4. Substitute v = w + 19 to t, which gives t = w + 51.\n5. Substitute w = m + 10 to t, which gives t = m + 61.\n6. Substitute m = 8 to t, which gives t = 69.\n\nThus, the final answer is t = \\boxed{69}.",
"index": 3670,
"question": "Suppose a collection of variables is related by the following definitions: i = c + 18; b = r + 3; w = m + 10; v = w + 19; s = b + 12; p = s + 17; u = e + 13; c = m + 12; e = y + 2; m = 8; t = u + 10; y = v + 7; r = i + 14. Given that m = 8, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"m": "x + 2", "t": "m + 7", "j": "t + 14", "a": "j + 6", "w": "a + 17", "h": "w + 20", "o": "x + 7", "k": "o + 16", "c": "k + 17", "u": "c + 13", "p": "u + 18", "e": "p + 5", "x": 11}, "premises": {"x": 11}, "target": "h"}, "answer": {"steps": [["w", "a + 17", "a + 37"], ["a", "j + 6", "j + 43"], ["j", "t + 14", "t + 57"], ["t", "m + 7", "m + 64"], ["m", "x + 2", "x + 66"], ["x", 11, "77"]], "target_var_name": "h", "target_value": 77, "value_dict": {"x": 11}, "is_reverse": true}}
| 3,671
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = a + 17; u = c + 13; x = 11; t = m + 7; p = u + 18; k = o + 16; m = x + 2; a = j + 6; c = k + 17; o = x + 7; j = t + 14; h = w + 20; e = p + 5. If x = 11, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = a + 17 to h, which gives h = a + 37.\n2. Substitute a = j + 6 to h, which gives h = j + 43.\n3. Substitute j = t + 14 to h, which gives h = t + 57.\n4. Substitute t = m + 7 to h, which gives h = m + 64.\n5. Substitute m = x + 2 to h, which gives h = x + 66.\n6. Substitute x = 11 to h, which gives h = 77.\n\nThus, the final answer is h = \\boxed{77}.",
"index": 3671,
"question": "Consider a system of variables where each variable is defined as follows: w = a + 17; u = c + 13; x = 11; t = m + 7; p = u + 18; k = o + 16; m = x + 2; a = j + 6; c = k + 17; o = x + 7; j = t + 14; h = w + 20; e = p + 5. If x = 11, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"d": "x + 4", "o": "d + 5", "i": "o + 11", "v": "i + 11", "h": "v + 10", "f": "h + 11", "b": "x + 4", "z": "b + 19", "w": "z + 8", "l": "w + 3", "j": "l + 18", "q": "j + 1", "x": 14}, "premises": {"x": 14}, "target": "f"}, "answer": {"steps": [["h", "v + 10", "v + 21"], ["v", "i + 11", "i + 32"], ["i", "o + 11", "o + 43"], ["o", "d + 5", "d + 48"], ["d", "x + 4", "x + 52"], ["x", 14, "66"]], "target_var_name": "f", "target_value": 66, "value_dict": {"x": 14}, "is_reverse": true}}
| 3,672
| 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 = b + 19; j = l + 18; i = o + 11; l = w + 3; o = d + 5; f = h + 11; w = z + 8; h = v + 10; d = x + 4; q = j + 1; b = x + 4; v = i + 11; x = 14. If x = 14, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = v + 10 to f, which gives f = v + 21.\n2. Substitute v = i + 11 to f, which gives f = i + 32.\n3. Substitute i = o + 11 to f, which gives f = o + 43.\n4. Substitute o = d + 5 to f, which gives f = d + 48.\n5. Substitute d = x + 4 to f, which gives f = x + 52.\n6. Substitute x = 14 to f, which gives f = 66.\n\nThus, the final answer is f = \\boxed{66}.",
"index": 3672,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = b + 19; j = l + 18; i = o + 11; l = w + 3; o = d + 5; f = h + 11; w = z + 8; h = v + 10; d = x + 4; q = j + 1; b = x + 4; v = i + 11; x = 14. If x = 14, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"z": "s + 16", "v": "z + 15", "h": "v + 14", "w": "h + 10", "l": "w + 19", "q": "l + 16", "n": "s + 14", "k": "n + 1", "y": "k + 2", "m": "y + 7", "r": "m + 8", "d": "r + 15", "s": 6}, "premises": {"s": 6}, "target": "q"}, "answer": {"steps": [["l", "w + 19", "w + 35"], ["w", "h + 10", "h + 45"], ["h", "v + 14", "v + 59"], ["v", "z + 15", "z + 74"], ["z", "s + 16", "s + 90"], ["s", 6, "96"]], "target_var_name": "q", "target_value": 96, "value_dict": {"s": 6}, "is_reverse": true}}
| 3,673
| 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 = 6; n = s + 14; k = n + 1; w = h + 10; v = z + 15; y = k + 2; z = s + 16; m = y + 7; r = m + 8; l = w + 19; q = l + 16; h = v + 14; d = r + 15. If s = 6, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 96,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = w + 19 to q, which gives q = w + 35.\n2. Substitute w = h + 10 to q, which gives q = h + 45.\n3. Substitute h = v + 14 to q, which gives q = v + 59.\n4. Substitute v = z + 15 to q, which gives q = z + 74.\n5. Substitute z = s + 16 to q, which gives q = s + 90.\n6. Substitute s = 6 to q, which gives q = 96.\n\nThus, the final answer is q = \\boxed{96}.",
"index": 3673,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = 6; n = s + 14; k = n + 1; w = h + 10; v = z + 15; y = k + 2; z = s + 16; m = y + 7; r = m + 8; l = w + 19; q = l + 16; h = v + 14; d = r + 15. If s = 6, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"m": "i + 3", "d": "m + 3", "t": "d + 6", "q": "t + 11", "y": "q + 12", "x": "y + 16", "g": "i + 18", "s": "g + 20", "p": "s + 19", "h": "p + 18", "c": "h + 1", "r": "c + 6", "i": 2}, "premises": {"i": 2}, "target": "x"}, "answer": {"steps": [["y", "q + 12", "q + 28"], ["q", "t + 11", "t + 39"], ["t", "d + 6", "d + 45"], ["d", "m + 3", "m + 48"], ["m", "i + 3", "i + 51"], ["i", 2, "53"]], "target_var_name": "x", "target_value": 53, "value_dict": {"i": 2}, "is_reverse": true}}
| 3,674
| 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 = 2; g = i + 18; q = t + 11; p = s + 19; s = g + 20; t = d + 6; r = c + 6; d = m + 3; y = q + 12; c = h + 1; m = i + 3; h = p + 18; x = y + 16. If i = 2, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = q + 12 to x, which gives x = q + 28.\n2. Substitute q = t + 11 to x, which gives x = t + 39.\n3. Substitute t = d + 6 to x, which gives x = d + 45.\n4. Substitute d = m + 3 to x, which gives x = m + 48.\n5. Substitute m = i + 3 to x, which gives x = i + 51.\n6. Substitute i = 2 to x, which gives x = 53.\n\nThus, the final answer is x = \\boxed{53}.",
"index": 3674,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = 2; g = i + 18; q = t + 11; p = s + 19; s = g + 20; t = d + 6; r = c + 6; d = m + 3; y = q + 12; c = h + 1; m = i + 3; h = p + 18; x = y + 16. If i = 2, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"s": "d + 7", "v": "s + 16", "j": "v + 13", "e": "j + 5", "r": "e + 11", "a": "r + 4", "p": "d + 5", "t": "p + 14", "k": "t + 13", "o": "k + 3", "i": "o + 8", "b": "i + 5", "d": 8}, "premises": {"d": 8}, "target": "a"}, "answer": {"steps": [["r", "e + 11", "e + 15"], ["e", "j + 5", "j + 20"], ["j", "v + 13", "v + 33"], ["v", "s + 16", "s + 49"], ["s", "d + 7", "d + 56"], ["d", 8, "64"]], "target_var_name": "a", "target_value": 64, "value_dict": {"d": 8}, "is_reverse": true}}
| 3,675
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = i + 5; a = r + 4; o = k + 3; d = 8; p = d + 5; i = o + 8; v = s + 16; j = v + 13; e = j + 5; r = e + 11; k = t + 13; t = p + 14; s = d + 7. If d = 8, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = e + 11 to a, which gives a = e + 15.\n2. Substitute e = j + 5 to a, which gives a = j + 20.\n3. Substitute j = v + 13 to a, which gives a = v + 33.\n4. Substitute v = s + 16 to a, which gives a = s + 49.\n5. Substitute s = d + 7 to a, which gives a = d + 56.\n6. Substitute d = 8 to a, which gives a = 64.\n\nThus, the final answer is a = \\boxed{64}.",
"index": 3675,
"question": "Consider a system of variables where each variable is defined as follows: b = i + 5; a = r + 4; o = k + 3; d = 8; p = d + 5; i = o + 8; v = s + 16; j = v + 13; e = j + 5; r = e + 11; k = t + 13; t = p + 14; s = d + 7. If d = 8, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"l": "z + 6", "h": "l + 16", "j": "h + 3", "v": "j + 7", "r": "v + 20", "d": "r + 16", "i": "z + 10", "t": "i + 17", "b": "t + 18", "s": "b + 16", "p": "s + 2", "a": "p + 14", "z": 10}, "premises": {"z": 10}, "target": "d"}, "answer": {"steps": [["r", "v + 20", "v + 36"], ["v", "j + 7", "j + 43"], ["j", "h + 3", "h + 46"], ["h", "l + 16", "l + 62"], ["l", "z + 6", "z + 68"], ["z", 10, "78"]], "target_var_name": "d", "target_value": 78, "value_dict": {"z": 10}, "is_reverse": true}}
| 3,676
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = p + 14; d = r + 16; l = z + 6; z = 10; h = l + 16; b = t + 18; r = v + 20; j = h + 3; i = z + 10; s = b + 16; t = i + 17; p = s + 2; v = j + 7. Given that z = 10, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = v + 20 to d, which gives d = v + 36.\n2. Substitute v = j + 7 to d, which gives d = j + 43.\n3. Substitute j = h + 3 to d, which gives d = h + 46.\n4. Substitute h = l + 16 to d, which gives d = l + 62.\n5. Substitute l = z + 6 to d, which gives d = z + 68.\n6. Substitute z = 10 to d, which gives d = 78.\n\nThus, the final answer is d = \\boxed{78}.",
"index": 3676,
"question": "Suppose a collection of variables is related by the following definitions: a = p + 14; d = r + 16; l = z + 6; z = 10; h = l + 16; b = t + 18; r = v + 20; j = h + 3; i = z + 10; s = b + 16; t = i + 17; p = s + 2; v = j + 7. Given that z = 10, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"g": "p + 7", "u": "g + 14", "k": "u + 17", "i": "k + 17", "f": "i + 18", "n": "f + 7", "x": "p + 1", "a": "x + 10", "c": "a + 7", "t": "c + 19", "e": "t + 11", "s": "e + 2", "p": 20}, "premises": {"p": 20}, "target": "n"}, "answer": {"steps": [["f", "i + 18", "i + 25"], ["i", "k + 17", "k + 42"], ["k", "u + 17", "u + 59"], ["u", "g + 14", "g + 73"], ["g", "p + 7", "p + 80"], ["p", 20, "100"]], "target_var_name": "n", "target_value": 100, "value_dict": {"p": 20}, "is_reverse": true}}
| 3,677
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = e + 2; t = c + 19; f = i + 18; a = x + 10; e = t + 11; c = a + 7; u = g + 14; k = u + 17; n = f + 7; i = k + 17; x = p + 1; g = p + 7; p = 20. Given that p = 20, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 100,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = i + 18 to n, which gives n = i + 25.\n2. Substitute i = k + 17 to n, which gives n = k + 42.\n3. Substitute k = u + 17 to n, which gives n = u + 59.\n4. Substitute u = g + 14 to n, which gives n = g + 73.\n5. Substitute g = p + 7 to n, which gives n = p + 80.\n6. Substitute p = 20 to n, which gives n = 100.\n\nThus, the final answer is n = \\boxed{100}.",
"index": 3677,
"question": "Suppose a collection of variables is related by the following definitions: s = e + 2; t = c + 19; f = i + 18; a = x + 10; e = t + 11; c = a + 7; u = g + 14; k = u + 17; n = f + 7; i = k + 17; x = p + 1; g = p + 7; p = 20. Given that p = 20, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"y": "j + 5", "r": "y + 12", "q": "r + 15", "g": "q + 9", "o": "g + 9", "t": "o + 15", "b": "j + 17", "h": "b + 6", "n": "h + 14", "u": "n + 17", "d": "u + 7", "a": "d + 16", "j": 12}, "premises": {"j": 12}, "target": "t"}, "answer": {"steps": [["o", "g + 9", "g + 24"], ["g", "q + 9", "q + 33"], ["q", "r + 15", "r + 48"], ["r", "y + 12", "y + 60"], ["y", "j + 5", "j + 65"], ["j", 12, "77"]], "target_var_name": "t", "target_value": 77, "value_dict": {"j": 12}, "is_reverse": true}}
| 3,678
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = j + 17; j = 12; q = r + 15; o = g + 9; g = q + 9; d = u + 7; u = n + 17; r = y + 12; n = h + 14; h = b + 6; y = j + 5; t = o + 15; a = d + 16. Given that j = 12, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = g + 9 to t, which gives t = g + 24.\n2. Substitute g = q + 9 to t, which gives t = q + 33.\n3. Substitute q = r + 15 to t, which gives t = r + 48.\n4. Substitute r = y + 12 to t, which gives t = y + 60.\n5. Substitute y = j + 5 to t, which gives t = j + 65.\n6. Substitute j = 12 to t, which gives t = 77.\n\nThus, the final answer is t = \\boxed{77}.",
"index": 3678,
"question": "Suppose a collection of variables is related by the following definitions: b = j + 17; j = 12; q = r + 15; o = g + 9; g = q + 9; d = u + 7; u = n + 17; r = y + 12; n = h + 14; h = b + 6; y = j + 5; t = o + 15; a = d + 16. Given that j = 12, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"y": "g + 11", "j": "y + 13", "c": "j + 10", "u": "c + 3", "s": "u + 15", "h": "s + 16", "e": "g + 1", "n": "e + 11", "t": "n + 13", "m": "t + 13", "l": "m + 19", "p": "l + 9", "g": 11}, "premises": {"g": 11}, "target": "h"}, "answer": {"steps": [["s", "u + 15", "u + 31"], ["u", "c + 3", "c + 34"], ["c", "j + 10", "j + 44"], ["j", "y + 13", "y + 57"], ["y", "g + 11", "g + 68"], ["g", 11, "79"]], "target_var_name": "h", "target_value": 79, "value_dict": {"g": 11}, "is_reverse": true}}
| 3,679
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = j + 10; y = g + 11; e = g + 1; n = e + 11; h = s + 16; p = l + 9; g = 11; t = n + 13; m = t + 13; j = y + 13; l = m + 19; s = u + 15; u = c + 3. Given that g = 11, find 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 s = u + 15 to h, which gives h = u + 31.\n2. Substitute u = c + 3 to h, which gives h = c + 34.\n3. Substitute c = j + 10 to h, which gives h = j + 44.\n4. Substitute j = y + 13 to h, which gives h = y + 57.\n5. Substitute y = g + 11 to h, which gives h = g + 68.\n6. Substitute g = 11 to h, which gives h = 79.\n\nThus, the final answer is h = \\boxed{79}.",
"index": 3679,
"question": "Suppose a collection of variables is related by the following definitions: c = j + 10; y = g + 11; e = g + 1; n = e + 11; h = s + 16; p = l + 9; g = 11; t = n + 13; m = t + 13; j = y + 13; l = m + 19; s = u + 15; u = c + 3. Given that g = 11, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"z": "m + 16", "t": "z + 8", "v": "t + 19", "l": "v + 7", "h": "l + 17", "q": "h + 12", "x": "m + 9", "b": "x + 1", "p": "b + 8", "s": "p + 8", "d": "s + 4", "k": "d + 4", "m": 13}, "premises": {"m": 13}, "target": "q"}, "answer": {"steps": [["h", "l + 17", "l + 29"], ["l", "v + 7", "v + 36"], ["v", "t + 19", "t + 55"], ["t", "z + 8", "z + 63"], ["z", "m + 16", "m + 79"], ["m", 13, "92"]], "target_var_name": "q", "target_value": 92, "value_dict": {"m": 13}, "is_reverse": true}}
| 3,680
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = b + 8; d = s + 4; k = d + 4; z = m + 16; b = x + 1; t = z + 8; x = m + 9; l = v + 7; s = p + 8; m = 13; v = t + 19; h = l + 17; q = h + 12. Given that m = 13, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = l + 17 to q, which gives q = l + 29.\n2. Substitute l = v + 7 to q, which gives q = v + 36.\n3. Substitute v = t + 19 to q, which gives q = t + 55.\n4. Substitute t = z + 8 to q, which gives q = z + 63.\n5. Substitute z = m + 16 to q, which gives q = m + 79.\n6. Substitute m = 13 to q, which gives q = 92.\n\nThus, the final answer is q = \\boxed{92}.",
"index": 3680,
"question": "Suppose a collection of variables is related by the following definitions: p = b + 8; d = s + 4; k = d + 4; z = m + 16; b = x + 1; t = z + 8; x = m + 9; l = v + 7; s = p + 8; m = 13; v = t + 19; h = l + 17; q = h + 12. Given that m = 13, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"i": "x + 20", "u": "i + 4", "d": "u + 12", "h": "d + 19", "c": "h + 11", "s": "c + 2", "v": "x + 7", "n": "v + 10", "t": "n + 17", "w": "t + 11", "b": "w + 16", "p": "b + 2", "x": 16}, "premises": {"x": 16}, "target": "s"}, "answer": {"steps": [["c", "h + 11", "h + 13"], ["h", "d + 19", "d + 32"], ["d", "u + 12", "u + 44"], ["u", "i + 4", "i + 48"], ["i", "x + 20", "x + 68"], ["x", 16, "84"]], "target_var_name": "s", "target_value": 84, "value_dict": {"x": 16}, "is_reverse": true}}
| 3,681
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = h + 11; w = t + 11; u = i + 4; i = x + 20; v = x + 7; s = c + 2; x = 16; b = w + 16; t = n + 17; h = d + 19; n = v + 10; d = u + 12; p = b + 2. Given that x = 16, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = h + 11 to s, which gives s = h + 13.\n2. Substitute h = d + 19 to s, which gives s = d + 32.\n3. Substitute d = u + 12 to s, which gives s = u + 44.\n4. Substitute u = i + 4 to s, which gives s = i + 48.\n5. Substitute i = x + 20 to s, which gives s = x + 68.\n6. Substitute x = 16 to s, which gives s = 84.\n\nThus, the final answer is s = \\boxed{84}.",
"index": 3681,
"question": "Suppose a collection of variables is related by the following definitions: c = h + 11; w = t + 11; u = i + 4; i = x + 20; v = x + 7; s = c + 2; x = 16; b = w + 16; t = n + 17; h = d + 19; n = v + 10; d = u + 12; p = b + 2. Given that x = 16, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"i": "g + 9", "z": "i + 14", "p": "z + 2", "h": "p + 16", "m": "h + 7", "s": "m + 20", "n": "g + 19", "e": "n + 13", "a": "e + 1", "o": "a + 15", "l": "o + 18", "t": "l + 10", "g": 3}, "premises": {"g": 3}, "target": "s"}, "answer": {"steps": [["m", "h + 7", "h + 27"], ["h", "p + 16", "p + 43"], ["p", "z + 2", "z + 45"], ["z", "i + 14", "i + 59"], ["i", "g + 9", "g + 68"], ["g", 3, "71"]], "target_var_name": "s", "target_value": 71, "value_dict": {"g": 3}, "is_reverse": true}}
| 3,682
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = l + 10; z = i + 14; e = n + 13; s = m + 20; a = e + 1; i = g + 9; o = a + 15; p = z + 2; g = 3; n = g + 19; h = p + 16; l = o + 18; m = h + 7. Given that g = 3, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = h + 7 to s, which gives s = h + 27.\n2. Substitute h = p + 16 to s, which gives s = p + 43.\n3. Substitute p = z + 2 to s, which gives s = z + 45.\n4. Substitute z = i + 14 to s, which gives s = i + 59.\n5. Substitute i = g + 9 to s, which gives s = g + 68.\n6. Substitute g = 3 to s, which gives s = 71.\n\nThus, the final answer is s = \\boxed{71}.",
"index": 3682,
"question": "Suppose a collection of variables is related by the following definitions: t = l + 10; z = i + 14; e = n + 13; s = m + 20; a = e + 1; i = g + 9; o = a + 15; p = z + 2; g = 3; n = g + 19; h = p + 16; l = o + 18; m = h + 7. Given that g = 3, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"o": "l + 1", "h": "o + 18", "c": "h + 13", "s": "c + 17", "t": "s + 19", "k": "t + 2", "v": "l + 7", "r": "v + 3", "w": "r + 4", "j": "w + 2", "d": "j + 2", "y": "d + 14", "l": 17}, "premises": {"l": 17}, "target": "k"}, "answer": {"steps": [["t", "s + 19", "s + 21"], ["s", "c + 17", "c + 38"], ["c", "h + 13", "h + 51"], ["h", "o + 18", "o + 69"], ["o", "l + 1", "l + 70"], ["l", 17, "87"]], "target_var_name": "k", "target_value": 87, "value_dict": {"l": 17}, "is_reverse": true}}
| 3,683
| 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 = r + 4; j = w + 2; k = t + 2; l = 17; c = h + 13; v = l + 7; t = s + 19; d = j + 2; s = c + 17; h = o + 18; r = v + 3; o = l + 1; y = d + 14. If l = 17, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = s + 19 to k, which gives k = s + 21.\n2. Substitute s = c + 17 to k, which gives k = c + 38.\n3. Substitute c = h + 13 to k, which gives k = h + 51.\n4. Substitute h = o + 18 to k, which gives k = o + 69.\n5. Substitute o = l + 1 to k, which gives k = l + 70.\n6. Substitute l = 17 to k, which gives k = 87.\n\nThus, the final answer is k = \\boxed{87}.",
"index": 3683,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = r + 4; j = w + 2; k = t + 2; l = 17; c = h + 13; v = l + 7; t = s + 19; d = j + 2; s = c + 17; h = o + 18; r = v + 3; o = l + 1; y = d + 14. If l = 17, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"r": "v + 4", "o": "r + 15", "l": "o + 5", "q": "l + 17", "t": "q + 7", "j": "t + 20", "e": "v + 3", "g": "e + 8", "y": "g + 16", "u": "y + 15", "s": "u + 19", "a": "s + 20", "v": 11}, "premises": {"v": 11}, "target": "j"}, "answer": {"steps": [["t", "q + 7", "q + 27"], ["q", "l + 17", "l + 44"], ["l", "o + 5", "o + 49"], ["o", "r + 15", "r + 64"], ["r", "v + 4", "v + 68"], ["v", 11, "79"]], "target_var_name": "j", "target_value": 79, "value_dict": {"v": 11}, "is_reverse": true}}
| 3,684
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = g + 16; e = v + 3; j = t + 20; l = o + 5; q = l + 17; a = s + 20; r = v + 4; v = 11; s = u + 19; o = r + 15; u = y + 15; g = e + 8; t = q + 7. Given that v = 11, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = q + 7 to j, which gives j = q + 27.\n2. Substitute q = l + 17 to j, which gives j = l + 44.\n3. Substitute l = o + 5 to j, which gives j = o + 49.\n4. Substitute o = r + 15 to j, which gives j = r + 64.\n5. Substitute r = v + 4 to j, which gives j = v + 68.\n6. Substitute v = 11 to j, which gives j = 79.\n\nThus, the final answer is j = \\boxed{79}.",
"index": 3684,
"question": "Suppose a collection of variables is related by the following definitions: y = g + 16; e = v + 3; j = t + 20; l = o + 5; q = l + 17; a = s + 20; r = v + 4; v = 11; s = u + 19; o = r + 15; u = y + 15; g = e + 8; t = q + 7. Given that v = 11, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"g": "r + 4", "w": "g + 16", "q": "w + 14", "p": "q + 7", "f": "p + 13", "c": "f + 17", "k": "r + 3", "e": "k + 6", "u": "e + 6", "l": "u + 5", "t": "l + 8", "n": "t + 2", "r": 13}, "premises": {"r": 13}, "target": "c"}, "answer": {"steps": [["f", "p + 13", "p + 30"], ["p", "q + 7", "q + 37"], ["q", "w + 14", "w + 51"], ["w", "g + 16", "g + 67"], ["g", "r + 4", "r + 71"], ["r", 13, "84"]], "target_var_name": "c", "target_value": 84, "value_dict": {"r": 13}, "is_reverse": true}}
| 3,685
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = p + 13; k = r + 3; t = l + 8; e = k + 6; q = w + 14; p = q + 7; c = f + 17; u = e + 6; w = g + 16; g = r + 4; l = u + 5; n = t + 2; r = 13. Given that r = 13, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = p + 13 to c, which gives c = p + 30.\n2. Substitute p = q + 7 to c, which gives c = q + 37.\n3. Substitute q = w + 14 to c, which gives c = w + 51.\n4. Substitute w = g + 16 to c, which gives c = g + 67.\n5. Substitute g = r + 4 to c, which gives c = r + 71.\n6. Substitute r = 13 to c, which gives c = 84.\n\nThus, the final answer is c = \\boxed{84}.",
"index": 3685,
"question": "Suppose a collection of variables is related by the following definitions: f = p + 13; k = r + 3; t = l + 8; e = k + 6; q = w + 14; p = q + 7; c = f + 17; u = e + 6; w = g + 16; g = r + 4; l = u + 5; n = t + 2; r = 13. Given that r = 13, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"v": "y + 17", "q": "v + 14", "z": "q + 7", "e": "z + 18", "f": "e + 1", "n": "f + 1", "u": "y + 5", "b": "u + 5", "w": "b + 15", "k": "w + 1", "s": "k + 5", "d": "s + 17", "y": 17}, "premises": {"y": 17}, "target": "n"}, "answer": {"steps": [["f", "e + 1", "e + 2"], ["e", "z + 18", "z + 20"], ["z", "q + 7", "q + 27"], ["q", "v + 14", "v + 41"], ["v", "y + 17", "y + 58"], ["y", 17, "75"]], "target_var_name": "n", "target_value": 75, "value_dict": {"y": 17}, "is_reverse": true}}
| 3,686
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = s + 17; s = k + 5; f = e + 1; q = v + 14; w = b + 15; k = w + 1; y = 17; b = u + 5; e = z + 18; z = q + 7; v = y + 17; n = f + 1; u = y + 5. If y = 17, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = e + 1 to n, which gives n = e + 2.\n2. Substitute e = z + 18 to n, which gives n = z + 20.\n3. Substitute z = q + 7 to n, which gives n = q + 27.\n4. Substitute q = v + 14 to n, which gives n = v + 41.\n5. Substitute v = y + 17 to n, which gives n = y + 58.\n6. Substitute y = 17 to n, which gives n = 75.\n\nThus, the final answer is n = \\boxed{75}.",
"index": 3686,
"question": "Consider a system of variables where each variable is defined as follows: d = s + 17; s = k + 5; f = e + 1; q = v + 14; w = b + 15; k = w + 1; y = 17; b = u + 5; e = z + 18; z = q + 7; v = y + 17; n = f + 1; u = y + 5. If y = 17, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"n": "q + 11", "b": "n + 5", "y": "b + 2", "k": "y + 5", "f": "k + 15", "j": "f + 7", "e": "q + 2", "i": "e + 12", "u": "i + 13", "h": "u + 5", "w": "h + 8", "g": "w + 15", "q": 4}, "premises": {"q": 4}, "target": "j"}, "answer": {"steps": [["f", "k + 15", "k + 22"], ["k", "y + 5", "y + 27"], ["y", "b + 2", "b + 29"], ["b", "n + 5", "n + 34"], ["n", "q + 11", "q + 45"], ["q", 4, "49"]], "target_var_name": "j", "target_value": 49, "value_dict": {"q": 4}, "is_reverse": true}}
| 3,687
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = f + 7; q = 4; i = e + 12; y = b + 2; f = k + 15; e = q + 2; n = q + 11; k = y + 5; w = h + 8; h = u + 5; b = n + 5; g = w + 15; u = i + 13. Given that q = 4, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = k + 15 to j, which gives j = k + 22.\n2. Substitute k = y + 5 to j, which gives j = y + 27.\n3. Substitute y = b + 2 to j, which gives j = b + 29.\n4. Substitute b = n + 5 to j, which gives j = n + 34.\n5. Substitute n = q + 11 to j, which gives j = q + 45.\n6. Substitute q = 4 to j, which gives j = 49.\n\nThus, the final answer is j = \\boxed{49}.",
"index": 3687,
"question": "Suppose a collection of variables is related by the following definitions: j = f + 7; q = 4; i = e + 12; y = b + 2; f = k + 15; e = q + 2; n = q + 11; k = y + 5; w = h + 8; h = u + 5; b = n + 5; g = w + 15; u = i + 13. Given that q = 4, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"c": "v + 15", "p": "c + 14", "r": "p + 14", "g": "r + 11", "i": "g + 3", "w": "i + 10", "t": "v + 18", "z": "t + 14", "x": "z + 7", "d": "x + 10", "h": "d + 1", "m": "h + 19", "v": 18}, "premises": {"v": 18}, "target": "w"}, "answer": {"steps": [["i", "g + 3", "g + 13"], ["g", "r + 11", "r + 24"], ["r", "p + 14", "p + 38"], ["p", "c + 14", "c + 52"], ["c", "v + 15", "v + 67"], ["v", 18, "85"]], "target_var_name": "w", "target_value": 85, "value_dict": {"v": 18}, "is_reverse": true}}
| 3,688
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = t + 14; w = i + 10; p = c + 14; x = z + 7; g = r + 11; c = v + 15; h = d + 1; t = v + 18; i = g + 3; d = x + 10; m = h + 19; v = 18; r = p + 14. If v = 18, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = g + 3 to w, which gives w = g + 13.\n2. Substitute g = r + 11 to w, which gives w = r + 24.\n3. Substitute r = p + 14 to w, which gives w = p + 38.\n4. Substitute p = c + 14 to w, which gives w = c + 52.\n5. Substitute c = v + 15 to w, which gives w = v + 67.\n6. Substitute v = 18 to w, which gives w = 85.\n\nThus, the final answer is w = \\boxed{85}.",
"index": 3688,
"question": "Consider a system of variables where each variable is defined as follows: z = t + 14; w = i + 10; p = c + 14; x = z + 7; g = r + 11; c = v + 15; h = d + 1; t = v + 18; i = g + 3; d = x + 10; m = h + 19; v = 18; r = p + 14. If v = 18, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"c": "d + 18", "n": "c + 7", "v": "n + 14", "u": "v + 12", "r": "u + 3", "w": "r + 20", "q": "d + 7", "s": "q + 5", "t": "s + 19", "z": "t + 3", "h": "z + 6", "m": "h + 15", "d": 4}, "premises": {"d": 4}, "target": "w"}, "answer": {"steps": [["r", "u + 3", "u + 23"], ["u", "v + 12", "v + 35"], ["v", "n + 14", "n + 49"], ["n", "c + 7", "c + 56"], ["c", "d + 18", "d + 74"], ["d", 4, "78"]], "target_var_name": "w", "target_value": 78, "value_dict": {"d": 4}, "is_reverse": true}}
| 3,689
| 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 = d + 7; n = c + 7; u = v + 12; s = q + 5; m = h + 15; h = z + 6; r = u + 3; z = t + 3; w = r + 20; d = 4; t = s + 19; v = n + 14; c = d + 18. If d = 4, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = u + 3 to w, which gives w = u + 23.\n2. Substitute u = v + 12 to w, which gives w = v + 35.\n3. Substitute v = n + 14 to w, which gives w = n + 49.\n4. Substitute n = c + 7 to w, which gives w = c + 56.\n5. Substitute c = d + 18 to w, which gives w = d + 74.\n6. Substitute d = 4 to w, which gives w = 78.\n\nThus, the final answer is w = \\boxed{78}.",
"index": 3689,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = d + 7; n = c + 7; u = v + 12; s = q + 5; m = h + 15; h = z + 6; r = u + 3; z = t + 3; w = r + 20; d = 4; t = s + 19; v = n + 14; c = d + 18. If d = 4, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"h": "d + 20", "e": "h + 18", "l": "e + 3", "k": "l + 17", "f": "k + 14", "o": "f + 14", "t": "d + 16", "x": "t + 12", "p": "x + 3", "j": "p + 13", "v": "j + 18", "s": "v + 12", "d": 18}, "premises": {"d": 18}, "target": "o"}, "answer": {"steps": [["f", "k + 14", "k + 28"], ["k", "l + 17", "l + 45"], ["l", "e + 3", "e + 48"], ["e", "h + 18", "h + 66"], ["h", "d + 20", "d + 86"], ["d", 18, "104"]], "target_var_name": "o", "target_value": 104, "value_dict": {"d": 18}, "is_reverse": true}}
| 3,690
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = v + 12; j = p + 13; x = t + 12; f = k + 14; o = f + 14; l = e + 3; p = x + 3; e = h + 18; d = 18; k = l + 17; h = d + 20; v = j + 18; t = d + 16. If d = 18, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 104,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = k + 14 to o, which gives o = k + 28.\n2. Substitute k = l + 17 to o, which gives o = l + 45.\n3. Substitute l = e + 3 to o, which gives o = e + 48.\n4. Substitute e = h + 18 to o, which gives o = h + 66.\n5. Substitute h = d + 20 to o, which gives o = d + 86.\n6. Substitute d = 18 to o, which gives o = 104.\n\nThus, the final answer is o = \\boxed{104}.",
"index": 3690,
"question": "Consider a system of variables where each variable is defined as follows: s = v + 12; j = p + 13; x = t + 12; f = k + 14; o = f + 14; l = e + 3; p = x + 3; e = h + 18; d = 18; k = l + 17; h = d + 20; v = j + 18; t = d + 16. If d = 18, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"t": "r + 14", "i": "t + 12", "a": "i + 20", "q": "a + 5", "h": "q + 14", "m": "h + 16", "w": "r + 17", "v": "w + 20", "s": "v + 19", "l": "s + 17", "u": "l + 9", "y": "u + 1", "r": 18}, "premises": {"r": 18}, "target": "m"}, "answer": {"steps": [["h", "q + 14", "q + 30"], ["q", "a + 5", "a + 35"], ["a", "i + 20", "i + 55"], ["i", "t + 12", "t + 67"], ["t", "r + 14", "r + 81"], ["r", 18, "99"]], "target_var_name": "m", "target_value": 99, "value_dict": {"r": 18}, "is_reverse": true}}
| 3,691
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = i + 20; v = w + 20; l = s + 17; m = h + 16; w = r + 17; u = l + 9; h = q + 14; t = r + 14; q = a + 5; i = t + 12; y = u + 1; s = v + 19; r = 18. If r = 18, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 99,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = q + 14 to m, which gives m = q + 30.\n2. Substitute q = a + 5 to m, which gives m = a + 35.\n3. Substitute a = i + 20 to m, which gives m = i + 55.\n4. Substitute i = t + 12 to m, which gives m = t + 67.\n5. Substitute t = r + 14 to m, which gives m = r + 81.\n6. Substitute r = 18 to m, which gives m = 99.\n\nThus, the final answer is m = \\boxed{99}.",
"index": 3691,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = i + 20; v = w + 20; l = s + 17; m = h + 16; w = r + 17; u = l + 9; h = q + 14; t = r + 14; q = a + 5; i = t + 12; y = u + 1; s = v + 19; r = 18. If r = 18, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"y": "f + 17", "z": "y + 5", "l": "z + 3", "s": "l + 6", "k": "s + 12", "c": "k + 15", "e": "f + 20", "n": "e + 18", "t": "n + 16", "x": "t + 8", "h": "x + 12", "i": "h + 20", "f": 19}, "premises": {"f": 19}, "target": "c"}, "answer": {"steps": [["k", "s + 12", "s + 27"], ["s", "l + 6", "l + 33"], ["l", "z + 3", "z + 36"], ["z", "y + 5", "y + 41"], ["y", "f + 17", "f + 58"], ["f", 19, "77"]], "target_var_name": "c", "target_value": 77, "value_dict": {"f": 19}, "is_reverse": true}}
| 3,692
| 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 = 19; t = n + 16; e = f + 20; x = t + 8; n = e + 18; s = l + 6; l = z + 3; h = x + 12; c = k + 15; y = f + 17; k = s + 12; i = h + 20; z = y + 5. If f = 19, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = s + 12 to c, which gives c = s + 27.\n2. Substitute s = l + 6 to c, which gives c = l + 33.\n3. Substitute l = z + 3 to c, which gives c = z + 36.\n4. Substitute z = y + 5 to c, which gives c = y + 41.\n5. Substitute y = f + 17 to c, which gives c = f + 58.\n6. Substitute f = 19 to c, which gives c = 77.\n\nThus, the final answer is c = \\boxed{77}.",
"index": 3692,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = 19; t = n + 16; e = f + 20; x = t + 8; n = e + 18; s = l + 6; l = z + 3; h = x + 12; c = k + 15; y = f + 17; k = s + 12; i = h + 20; z = y + 5. If f = 19, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"q": "s + 20", "c": "q + 14", "n": "c + 5", "j": "n + 9", "y": "j + 17", "e": "y + 11", "v": "s + 11", "x": "v + 20", "f": "x + 18", "m": "f + 10", "k": "m + 6", "i": "k + 12", "s": 19}, "premises": {"s": 19}, "target": "e"}, "answer": {"steps": [["y", "j + 17", "j + 28"], ["j", "n + 9", "n + 37"], ["n", "c + 5", "c + 42"], ["c", "q + 14", "q + 56"], ["q", "s + 20", "s + 76"], ["s", 19, "95"]], "target_var_name": "e", "target_value": 95, "value_dict": {"s": 19}, "is_reverse": true}}
| 3,693
| 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 = 19; y = j + 17; q = s + 20; e = y + 11; x = v + 20; c = q + 14; v = s + 11; f = x + 18; k = m + 6; n = c + 5; i = k + 12; m = f + 10; j = n + 9. If s = 19, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = j + 17 to e, which gives e = j + 28.\n2. Substitute j = n + 9 to e, which gives e = n + 37.\n3. Substitute n = c + 5 to e, which gives e = c + 42.\n4. Substitute c = q + 14 to e, which gives e = q + 56.\n5. Substitute q = s + 20 to e, which gives e = s + 76.\n6. Substitute s = 19 to e, which gives e = 95.\n\nThus, the final answer is e = \\boxed{95}.",
"index": 3693,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = 19; y = j + 17; q = s + 20; e = y + 11; x = v + 20; c = q + 14; v = s + 11; f = x + 18; k = m + 6; n = c + 5; i = k + 12; m = f + 10; j = n + 9. If s = 19, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"l": "s + 12", "a": "l + 18", "z": "a + 6", "u": "z + 7", "g": "u + 14", "q": "g + 1", "o": "s + 18", "k": "o + 10", "m": "k + 16", "n": "m + 19", "d": "n + 2", "t": "d + 12", "s": 3}, "premises": {"s": 3}, "target": "q"}, "answer": {"steps": [["g", "u + 14", "u + 15"], ["u", "z + 7", "z + 22"], ["z", "a + 6", "a + 28"], ["a", "l + 18", "l + 46"], ["l", "s + 12", "s + 58"], ["s", 3, "61"]], "target_var_name": "q", "target_value": 61, "value_dict": {"s": 3}, "is_reverse": true}}
| 3,694
| 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 + 14; m = k + 16; a = l + 18; t = d + 12; o = s + 18; u = z + 7; n = m + 19; q = g + 1; k = o + 10; l = s + 12; d = n + 2; s = 3; z = a + 6. If s = 3, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = u + 14 to q, which gives q = u + 15.\n2. Substitute u = z + 7 to q, which gives q = z + 22.\n3. Substitute z = a + 6 to q, which gives q = a + 28.\n4. Substitute a = l + 18 to q, which gives q = l + 46.\n5. Substitute l = s + 12 to q, which gives q = s + 58.\n6. Substitute s = 3 to q, which gives q = 61.\n\nThus, the final answer is q = \\boxed{61}.",
"index": 3694,
"question": "Consider a system of variables where each variable is defined as follows: g = u + 14; m = k + 16; a = l + 18; t = d + 12; o = s + 18; u = z + 7; n = m + 19; q = g + 1; k = o + 10; l = s + 12; d = n + 2; s = 3; z = a + 6. If s = 3, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"v": "l + 4", "o": "v + 16", "g": "o + 15", "b": "g + 9", "q": "b + 6", "c": "q + 12", "s": "l + 5", "k": "s + 16", "y": "k + 16", "i": "y + 19", "z": "i + 9", "x": "z + 11", "l": 13}, "premises": {"l": 13}, "target": "c"}, "answer": {"steps": [["q", "b + 6", "b + 18"], ["b", "g + 9", "g + 27"], ["g", "o + 15", "o + 42"], ["o", "v + 16", "v + 58"], ["v", "l + 4", "l + 62"], ["l", 13, "75"]], "target_var_name": "c", "target_value": 75, "value_dict": {"l": 13}, "is_reverse": true}}
| 3,695
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = l + 5; z = i + 9; k = s + 16; g = o + 15; l = 13; o = v + 16; v = l + 4; i = y + 19; x = z + 11; b = g + 9; q = b + 6; c = q + 12; y = k + 16. Given that l = 13, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = b + 6 to c, which gives c = b + 18.\n2. Substitute b = g + 9 to c, which gives c = g + 27.\n3. Substitute g = o + 15 to c, which gives c = o + 42.\n4. Substitute o = v + 16 to c, which gives c = v + 58.\n5. Substitute v = l + 4 to c, which gives c = l + 62.\n6. Substitute l = 13 to c, which gives c = 75.\n\nThus, the final answer is c = \\boxed{75}.",
"index": 3695,
"question": "Suppose a collection of variables is related by the following definitions: s = l + 5; z = i + 9; k = s + 16; g = o + 15; l = 13; o = v + 16; v = l + 4; i = y + 19; x = z + 11; b = g + 9; q = b + 6; c = q + 12; y = k + 16. Given that l = 13, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"u": "t + 17", "w": "u + 3", "q": "w + 8", "v": "q + 8", "c": "v + 3", "k": "c + 15", "e": "t + 14", "j": "e + 16", "o": "j + 6", "l": "o + 14", "d": "l + 6", "f": "d + 3", "t": 20}, "premises": {"t": 20}, "target": "k"}, "answer": {"steps": [["c", "v + 3", "v + 18"], ["v", "q + 8", "q + 26"], ["q", "w + 8", "w + 34"], ["w", "u + 3", "u + 37"], ["u", "t + 17", "t + 54"], ["t", 20, "74"]], "target_var_name": "k", "target_value": 74, "value_dict": {"t": 20}, "is_reverse": true}}
| 3,696
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = l + 6; c = v + 3; l = o + 14; o = j + 6; e = t + 14; v = q + 8; w = u + 3; f = d + 3; k = c + 15; u = t + 17; t = 20; j = e + 16; q = w + 8. If t = 20, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = v + 3 to k, which gives k = v + 18.\n2. Substitute v = q + 8 to k, which gives k = q + 26.\n3. Substitute q = w + 8 to k, which gives k = w + 34.\n4. Substitute w = u + 3 to k, which gives k = u + 37.\n5. Substitute u = t + 17 to k, which gives k = t + 54.\n6. Substitute t = 20 to k, which gives k = 74.\n\nThus, the final answer is k = \\boxed{74}.",
"index": 3696,
"question": "Consider a system of variables where each variable is defined as follows: d = l + 6; c = v + 3; l = o + 14; o = j + 6; e = t + 14; v = q + 8; w = u + 3; f = d + 3; k = c + 15; u = t + 17; t = 20; j = e + 16; q = w + 8. If t = 20, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"r": "n + 4", "d": "r + 3", "u": "d + 13", "j": "u + 6", "h": "j + 4", "i": "h + 17", "x": "n + 16", "o": "x + 5", "y": "o + 8", "v": "y + 4", "p": "v + 8", "f": "p + 20", "n": 5}, "premises": {"n": 5}, "target": "i"}, "answer": {"steps": [["h", "j + 4", "j + 21"], ["j", "u + 6", "u + 27"], ["u", "d + 13", "d + 40"], ["d", "r + 3", "r + 43"], ["r", "n + 4", "n + 47"], ["n", 5, "52"]], "target_var_name": "i", "target_value": 52, "value_dict": {"n": 5}, "is_reverse": true}}
| 3,697
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = p + 20; j = u + 6; p = v + 8; d = r + 3; i = h + 17; v = y + 4; h = j + 4; u = d + 13; y = o + 8; r = n + 4; n = 5; x = n + 16; o = x + 5. Given that n = 5, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 52,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = j + 4 to i, which gives i = j + 21.\n2. Substitute j = u + 6 to i, which gives i = u + 27.\n3. Substitute u = d + 13 to i, which gives i = d + 40.\n4. Substitute d = r + 3 to i, which gives i = r + 43.\n5. Substitute r = n + 4 to i, which gives i = n + 47.\n6. Substitute n = 5 to i, which gives i = 52.\n\nThus, the final answer is i = \\boxed{52}.",
"index": 3697,
"question": "Suppose a collection of variables is related by the following definitions: f = p + 20; j = u + 6; p = v + 8; d = r + 3; i = h + 17; v = y + 4; h = j + 4; u = d + 13; y = o + 8; r = n + 4; n = 5; x = n + 16; o = x + 5. Given that n = 5, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"k": "o + 1", "a": "k + 7", "z": "a + 7", "c": "z + 11", "q": "c + 12", "h": "q + 11", "x": "o + 13", "s": "x + 11", "d": "s + 4", "j": "d + 6", "p": "j + 16", "l": "p + 3", "o": 3}, "premises": {"o": 3}, "target": "h"}, "answer": {"steps": [["q", "c + 12", "c + 23"], ["c", "z + 11", "z + 34"], ["z", "a + 7", "a + 41"], ["a", "k + 7", "k + 48"], ["k", "o + 1", "o + 49"], ["o", 3, "52"]], "target_var_name": "h", "target_value": 52, "value_dict": {"o": 3}, "is_reverse": true}}
| 3,698
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = x + 11; o = 3; c = z + 11; d = s + 4; x = o + 13; h = q + 11; z = a + 7; q = c + 12; l = p + 3; p = j + 16; a = k + 7; k = o + 1; j = d + 6. If o = 3, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 52,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = c + 12 to h, which gives h = c + 23.\n2. Substitute c = z + 11 to h, which gives h = z + 34.\n3. Substitute z = a + 7 to h, which gives h = a + 41.\n4. Substitute a = k + 7 to h, which gives h = k + 48.\n5. Substitute k = o + 1 to h, which gives h = o + 49.\n6. Substitute o = 3 to h, which gives h = 52.\n\nThus, the final answer is h = \\boxed{52}.",
"index": 3698,
"question": "Consider a system of variables where each variable is defined as follows: s = x + 11; o = 3; c = z + 11; d = s + 4; x = o + 13; h = q + 11; z = a + 7; q = c + 12; l = p + 3; p = j + 16; a = k + 7; k = o + 1; j = d + 6. If o = 3, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"j": "f + 3", "z": "j + 20", "o": "z + 7", "p": "o + 2", "l": "p + 16", "v": "l + 3", "m": "f + 20", "y": "m + 4", "k": "y + 7", "a": "k + 11", "i": "a + 4", "h": "i + 13", "f": 7}, "premises": {"f": 7}, "target": "v"}, "answer": {"steps": [["l", "p + 16", "p + 19"], ["p", "o + 2", "o + 21"], ["o", "z + 7", "z + 28"], ["z", "j + 20", "j + 48"], ["j", "f + 3", "f + 51"], ["f", 7, "58"]], "target_var_name": "v", "target_value": 58, "value_dict": {"f": 7}, "is_reverse": true}}
| 3,699
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = l + 3; a = k + 11; m = f + 20; i = a + 4; o = z + 7; h = i + 13; y = m + 4; z = j + 20; k = y + 7; l = p + 16; f = 7; p = o + 2; j = f + 3. If f = 7, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = p + 16 to v, which gives v = p + 19.\n2. Substitute p = o + 2 to v, which gives v = o + 21.\n3. Substitute o = z + 7 to v, which gives v = z + 28.\n4. Substitute z = j + 20 to v, which gives v = j + 48.\n5. Substitute j = f + 3 to v, which gives v = f + 51.\n6. Substitute f = 7 to v, which gives v = 58.\n\nThus, the final answer is v = \\boxed{58}.",
"index": 3699,
"question": "Consider a system of variables where each variable is defined as follows: v = l + 3; a = k + 11; m = f + 20; i = a + 4; o = z + 7; h = i + 13; y = m + 4; z = j + 20; k = y + 7; l = p + 16; f = 7; p = o + 2; j = f + 3. If f = 7, determine the value of v.",
"split": "train"
}
|
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