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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": {"t": "l + 3", "x": "t + 2", "p": "x + 7", "w": "p + 12", "e": "w + 14", "h": "e + 4", "k": "l + 1", "b": "k + 7", "g": "b + 20", "u": "g + 6", "v": "u + 1", "y": "v + 12", "l": 6}, "premises": {"l": 6}, "target": "h"}, "answer": {"steps": [["e", "w + 14", "w + 18"], ["w", "p + 12", "p + 30"], ["p", "x + 7", "x + 37"], ["x", "t + 2", "t + 39"], ["t", "l + 3", "l + 42"], ["l", 6, "48"]], "target_var_name": "h", "target_value": 48, "value_dict": {"l": 6}, "is_reverse": true}}
| 4,600
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = 6; v = u + 1; h = e + 4; b = k + 7; e = w + 14; g = b + 20; y = v + 12; p = x + 7; w = p + 12; x = t + 2; u = g + 6; k = l + 1; t = l + 3. If l = 6, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 48,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = w + 14 to h, which gives h = w + 18.\n2. Substitute w = p + 12 to h, which gives h = p + 30.\n3. Substitute p = x + 7 to h, which gives h = x + 37.\n4. Substitute x = t + 2 to h, which gives h = t + 39.\n5. Substitute t = l + 3 to h, which gives h = l + 42.\n6. Substitute l = 6 to h, which gives h = 48.\n\nThus, the final answer is h = \\boxed{48}.",
"index": 4600,
"question": "Consider a system of variables where each variable is defined as follows: l = 6; v = u + 1; h = e + 4; b = k + 7; e = w + 14; g = b + 20; y = v + 12; p = x + 7; w = p + 12; x = t + 2; u = g + 6; k = l + 1; t = l + 3. If l = 6, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"r": "o + 5", "v": "r + 19", "d": "v + 20", "t": "d + 17", "w": "t + 19", "s": "w + 16", "n": "o + 10", "f": "n + 5", "u": "f + 1", "x": "u + 17", "c": "x + 2", "j": "c + 2", "o": 5}, "premises": {"o": 5}, "target": "s"}, "answer": {"steps": [["w", "t + 19", "t + 35"], ["t", "d + 17", "d + 52"], ["d", "v + 20", "v + 72"], ["v", "r + 19", "r + 91"], ["r", "o + 5", "o + 96"], ["o", 5, "101"]], "target_var_name": "s", "target_value": 101, "value_dict": {"o": 5}, "is_reverse": true}}
| 4,601
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = v + 20; c = x + 2; n = o + 10; u = f + 1; v = r + 19; x = u + 17; t = d + 17; j = c + 2; s = w + 16; r = o + 5; w = t + 19; o = 5; f = n + 5. Given that o = 5, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 101,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = t + 19 to s, which gives s = t + 35.\n2. Substitute t = d + 17 to s, which gives s = d + 52.\n3. Substitute d = v + 20 to s, which gives s = v + 72.\n4. Substitute v = r + 19 to s, which gives s = r + 91.\n5. Substitute r = o + 5 to s, which gives s = o + 96.\n6. Substitute o = 5 to s, which gives s = 101.\n\nThus, the final answer is s = \\boxed{101}.",
"index": 4601,
"question": "Suppose a collection of variables is related by the following definitions: d = v + 20; c = x + 2; n = o + 10; u = f + 1; v = r + 19; x = u + 17; t = d + 17; j = c + 2; s = w + 16; r = o + 5; w = t + 19; o = 5; f = n + 5. Given that o = 5, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"n": "p + 17", "k": "n + 15", "c": "k + 20", "i": "c + 5", "l": "i + 20", "j": "l + 16", "a": "p + 7", "g": "a + 11", "r": "g + 16", "m": "r + 16", "f": "m + 17", "d": "f + 11", "p": 5}, "premises": {"p": 5}, "target": "j"}, "answer": {"steps": [["l", "i + 20", "i + 36"], ["i", "c + 5", "c + 41"], ["c", "k + 20", "k + 61"], ["k", "n + 15", "n + 76"], ["n", "p + 17", "p + 93"], ["p", 5, "98"]], "target_var_name": "j", "target_value": 98, "value_dict": {"p": 5}, "is_reverse": true}}
| 4,602
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = m + 17; l = i + 20; k = n + 15; j = l + 16; a = p + 7; i = c + 5; d = f + 11; c = k + 20; p = 5; m = r + 16; g = a + 11; r = g + 16; n = p + 17. If p = 5, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 98,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = i + 20 to j, which gives j = i + 36.\n2. Substitute i = c + 5 to j, which gives j = c + 41.\n3. Substitute c = k + 20 to j, which gives j = k + 61.\n4. Substitute k = n + 15 to j, which gives j = n + 76.\n5. Substitute n = p + 17 to j, which gives j = p + 93.\n6. Substitute p = 5 to j, which gives j = 98.\n\nThus, the final answer is j = \\boxed{98}.",
"index": 4602,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = m + 17; l = i + 20; k = n + 15; j = l + 16; a = p + 7; i = c + 5; d = f + 11; c = k + 20; p = 5; m = r + 16; g = a + 11; r = g + 16; n = p + 17. If p = 5, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"k": "w + 13", "z": "k + 19", "l": "z + 8", "s": "l + 13", "n": "s + 6", "r": "n + 20", "b": "w + 18", "i": "b + 18", "h": "i + 4", "o": "h + 14", "m": "o + 11", "j": "m + 18", "w": 15}, "premises": {"w": 15}, "target": "r"}, "answer": {"steps": [["n", "s + 6", "s + 26"], ["s", "l + 13", "l + 39"], ["l", "z + 8", "z + 47"], ["z", "k + 19", "k + 66"], ["k", "w + 13", "w + 79"], ["w", 15, "94"]], "target_var_name": "r", "target_value": 94, "value_dict": {"w": 15}, "is_reverse": true}}
| 4,603
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = k + 19; j = m + 18; o = h + 14; i = b + 18; h = i + 4; r = n + 20; k = w + 13; m = o + 11; b = w + 18; s = l + 13; w = 15; n = s + 6; l = z + 8. If w = 15, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = s + 6 to r, which gives r = s + 26.\n2. Substitute s = l + 13 to r, which gives r = l + 39.\n3. Substitute l = z + 8 to r, which gives r = z + 47.\n4. Substitute z = k + 19 to r, which gives r = k + 66.\n5. Substitute k = w + 13 to r, which gives r = w + 79.\n6. Substitute w = 15 to r, which gives r = 94.\n\nThus, the final answer is r = \\boxed{94}.",
"index": 4603,
"question": "Consider a system of variables where each variable is defined as follows: z = k + 19; j = m + 18; o = h + 14; i = b + 18; h = i + 4; r = n + 20; k = w + 13; m = o + 11; b = w + 18; s = l + 13; w = 15; n = s + 6; l = z + 8. If w = 15, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"m": "d + 19", "l": "m + 11", "y": "l + 3", "g": "y + 14", "j": "g + 4", "t": "j + 7", "a": "d + 3", "s": "a + 13", "w": "s + 12", "i": "w + 13", "c": "i + 7", "k": "c + 5", "d": 1}, "premises": {"d": 1}, "target": "t"}, "answer": {"steps": [["j", "g + 4", "g + 11"], ["g", "y + 14", "y + 25"], ["y", "l + 3", "l + 28"], ["l", "m + 11", "m + 39"], ["m", "d + 19", "d + 58"], ["d", 1, "59"]], "target_var_name": "t", "target_value": 59, "value_dict": {"d": 1}, "is_reverse": true}}
| 4,604
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = g + 4; w = s + 12; l = m + 11; k = c + 5; y = l + 3; d = 1; a = d + 3; c = i + 7; m = d + 19; t = j + 7; i = w + 13; s = a + 13; g = y + 14. If d = 1, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = g + 4 to t, which gives t = g + 11.\n2. Substitute g = y + 14 to t, which gives t = y + 25.\n3. Substitute y = l + 3 to t, which gives t = l + 28.\n4. Substitute l = m + 11 to t, which gives t = m + 39.\n5. Substitute m = d + 19 to t, which gives t = d + 58.\n6. Substitute d = 1 to t, which gives t = 59.\n\nThus, the final answer is t = \\boxed{59}.",
"index": 4604,
"question": "Consider a system of variables where each variable is defined as follows: j = g + 4; w = s + 12; l = m + 11; k = c + 5; y = l + 3; d = 1; a = d + 3; c = i + 7; m = d + 19; t = j + 7; i = w + 13; s = a + 13; g = y + 14. If d = 1, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"n": "g + 16", "j": "n + 13", "f": "j + 19", "w": "f + 10", "a": "w + 16", "h": "a + 11", "b": "g + 14", "o": "b + 13", "k": "o + 17", "s": "k + 13", "m": "s + 4", "l": "m + 14", "g": 9}, "premises": {"g": 9}, "target": "h"}, "answer": {"steps": [["a", "w + 16", "w + 27"], ["w", "f + 10", "f + 37"], ["f", "j + 19", "j + 56"], ["j", "n + 13", "n + 69"], ["n", "g + 16", "g + 85"], ["g", 9, "94"]], "target_var_name": "h", "target_value": 94, "value_dict": {"g": 9}, "is_reverse": true}}
| 4,605
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = n + 13; s = k + 13; h = a + 11; a = w + 16; g = 9; o = b + 13; b = g + 14; f = j + 19; w = f + 10; m = s + 4; k = o + 17; n = g + 16; l = m + 14. If g = 9, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = w + 16 to h, which gives h = w + 27.\n2. Substitute w = f + 10 to h, which gives h = f + 37.\n3. Substitute f = j + 19 to h, which gives h = j + 56.\n4. Substitute j = n + 13 to h, which gives h = n + 69.\n5. Substitute n = g + 16 to h, which gives h = g + 85.\n6. Substitute g = 9 to h, which gives h = 94.\n\nThus, the final answer is h = \\boxed{94}.",
"index": 4605,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = n + 13; s = k + 13; h = a + 11; a = w + 16; g = 9; o = b + 13; b = g + 14; f = j + 19; w = f + 10; m = s + 4; k = o + 17; n = g + 16; l = m + 14. If g = 9, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"d": "h + 4", "n": "d + 10", "f": "n + 20", "v": "f + 1", "i": "v + 2", "x": "i + 3", "z": "h + 1", "r": "z + 20", "q": "r + 5", "b": "q + 6", "p": "b + 18", "t": "p + 19", "h": 13}, "premises": {"h": 13}, "target": "x"}, "answer": {"steps": [["i", "v + 2", "v + 5"], ["v", "f + 1", "f + 6"], ["f", "n + 20", "n + 26"], ["n", "d + 10", "d + 36"], ["d", "h + 4", "h + 40"], ["h", 13, "53"]], "target_var_name": "x", "target_value": 53, "value_dict": {"h": 13}, "is_reverse": true}}
| 4,606
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = 13; r = z + 20; z = h + 1; x = i + 3; p = b + 18; t = p + 19; d = h + 4; n = d + 10; b = q + 6; q = r + 5; f = n + 20; i = v + 2; v = f + 1. If h = 13, determine the 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 i = v + 2 to x, which gives x = v + 5.\n2. Substitute v = f + 1 to x, which gives x = f + 6.\n3. Substitute f = n + 20 to x, which gives x = n + 26.\n4. Substitute n = d + 10 to x, which gives x = d + 36.\n5. Substitute d = h + 4 to x, which gives x = h + 40.\n6. Substitute h = 13 to x, which gives x = 53.\n\nThus, the final answer is x = \\boxed{53}.",
"index": 4606,
"question": "Consider a system of variables where each variable is defined as follows: h = 13; r = z + 20; z = h + 1; x = i + 3; p = b + 18; t = p + 19; d = h + 4; n = d + 10; b = q + 6; q = r + 5; f = n + 20; i = v + 2; v = f + 1. If h = 13, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"a": "q + 9", "t": "a + 2", "r": "t + 14", "y": "r + 7", "n": "y + 3", "p": "n + 1", "j": "q + 11", "z": "j + 18", "w": "z + 3", "v": "w + 13", "k": "v + 1", "g": "k + 8", "q": 2}, "premises": {"q": 2}, "target": "p"}, "answer": {"steps": [["n", "y + 3", "y + 4"], ["y", "r + 7", "r + 11"], ["r", "t + 14", "t + 25"], ["t", "a + 2", "a + 27"], ["a", "q + 9", "q + 36"], ["q", 2, "38"]], "target_var_name": "p", "target_value": 38, "value_dict": {"q": 2}, "is_reverse": true}}
| 4,607
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = 2; g = k + 8; t = a + 2; y = r + 7; r = t + 14; n = y + 3; p = n + 1; z = j + 18; v = w + 13; w = z + 3; k = v + 1; a = q + 9; j = q + 11. If q = 2, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 38,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = y + 3 to p, which gives p = y + 4.\n2. Substitute y = r + 7 to p, which gives p = r + 11.\n3. Substitute r = t + 14 to p, which gives p = t + 25.\n4. Substitute t = a + 2 to p, which gives p = a + 27.\n5. Substitute a = q + 9 to p, which gives p = q + 36.\n6. Substitute q = 2 to p, which gives p = 38.\n\nThus, the final answer is p = \\boxed{38}.",
"index": 4607,
"question": "Consider a system of variables where each variable is defined as follows: q = 2; g = k + 8; t = a + 2; y = r + 7; r = t + 14; n = y + 3; p = n + 1; z = j + 18; v = w + 13; w = z + 3; k = v + 1; a = q + 9; j = q + 11. If q = 2, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"y": "m + 4", "n": "y + 20", "i": "n + 7", "g": "i + 9", "f": "g + 16", "s": "f + 6", "p": "m + 8", "b": "p + 1", "t": "b + 8", "v": "t + 15", "q": "v + 18", "z": "q + 18", "m": 7}, "premises": {"m": 7}, "target": "s"}, "answer": {"steps": [["f", "g + 16", "g + 22"], ["g", "i + 9", "i + 31"], ["i", "n + 7", "n + 38"], ["n", "y + 20", "y + 58"], ["y", "m + 4", "m + 62"], ["m", 7, "69"]], "target_var_name": "s", "target_value": 69, "value_dict": {"m": 7}, "is_reverse": true}}
| 4,608
| 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 = y + 20; i = n + 7; g = i + 9; p = m + 8; v = t + 15; m = 7; f = g + 16; s = f + 6; b = p + 1; z = q + 18; t = b + 8; q = v + 18; y = m + 4. If m = 7, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = g + 16 to s, which gives s = g + 22.\n2. Substitute g = i + 9 to s, which gives s = i + 31.\n3. Substitute i = n + 7 to s, which gives s = n + 38.\n4. Substitute n = y + 20 to s, which gives s = y + 58.\n5. Substitute y = m + 4 to s, which gives s = m + 62.\n6. Substitute m = 7 to s, which gives s = 69.\n\nThus, the final answer is s = \\boxed{69}.",
"index": 4608,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = y + 20; i = n + 7; g = i + 9; p = m + 8; v = t + 15; m = 7; f = g + 16; s = f + 6; b = p + 1; z = q + 18; t = b + 8; q = v + 18; y = m + 4. If m = 7, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"n": "x + 18", "j": "n + 10", "h": "j + 13", "q": "h + 20", "g": "q + 8", "y": "g + 16", "a": "x + 14", "v": "a + 4", "c": "v + 7", "i": "c + 14", "l": "i + 10", "e": "l + 10", "x": 11}, "premises": {"x": 11}, "target": "y"}, "answer": {"steps": [["g", "q + 8", "q + 24"], ["q", "h + 20", "h + 44"], ["h", "j + 13", "j + 57"], ["j", "n + 10", "n + 67"], ["n", "x + 18", "x + 85"], ["x", 11, "96"]], "target_var_name": "y", "target_value": 96, "value_dict": {"x": 11}, "is_reverse": true}}
| 4,609
| 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 = q + 8; a = x + 14; v = a + 4; j = n + 10; q = h + 20; i = c + 14; n = x + 18; c = v + 7; x = 11; y = g + 16; h = j + 13; e = l + 10; l = i + 10. If x = 11, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 96,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = q + 8 to y, which gives y = q + 24.\n2. Substitute q = h + 20 to y, which gives y = h + 44.\n3. Substitute h = j + 13 to y, which gives y = j + 57.\n4. Substitute j = n + 10 to y, which gives y = n + 67.\n5. Substitute n = x + 18 to y, which gives y = x + 85.\n6. Substitute x = 11 to y, which gives y = 96.\n\nThus, the final answer is y = \\boxed{96}.",
"index": 4609,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = q + 8; a = x + 14; v = a + 4; j = n + 10; q = h + 20; i = c + 14; n = x + 18; c = v + 7; x = 11; y = g + 16; h = j + 13; e = l + 10; l = i + 10. If x = 11, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"f": "n + 6", "s": "f + 8", "j": "s + 8", "v": "j + 10", "p": "v + 6", "e": "p + 11", "l": "n + 4", "b": "l + 2", "i": "b + 3", "w": "i + 13", "m": "w + 4", "z": "m + 20", "n": 8}, "premises": {"n": 8}, "target": "e"}, "answer": {"steps": [["p", "v + 6", "v + 17"], ["v", "j + 10", "j + 27"], ["j", "s + 8", "s + 35"], ["s", "f + 8", "f + 43"], ["f", "n + 6", "n + 49"], ["n", 8, "57"]], "target_var_name": "e", "target_value": 57, "value_dict": {"n": 8}, "is_reverse": true}}
| 4,610
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = m + 20; p = v + 6; n = 8; i = b + 3; l = n + 4; v = j + 10; b = l + 2; s = f + 8; w = i + 13; f = n + 6; m = w + 4; e = p + 11; j = s + 8. Given that n = 8, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = v + 6 to e, which gives e = v + 17.\n2. Substitute v = j + 10 to e, which gives e = j + 27.\n3. Substitute j = s + 8 to e, which gives e = s + 35.\n4. Substitute s = f + 8 to e, which gives e = f + 43.\n5. Substitute f = n + 6 to e, which gives e = n + 49.\n6. Substitute n = 8 to e, which gives e = 57.\n\nThus, the final answer is e = \\boxed{57}.",
"index": 4610,
"question": "Suppose a collection of variables is related by the following definitions: z = m + 20; p = v + 6; n = 8; i = b + 3; l = n + 4; v = j + 10; b = l + 2; s = f + 8; w = i + 13; f = n + 6; m = w + 4; e = p + 11; j = s + 8. Given that n = 8, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"n": "o + 13", "w": "n + 18", "s": "w + 7", "d": "s + 1", "g": "d + 18", "x": "g + 8", "j": "o + 19", "h": "j + 12", "p": "h + 8", "k": "p + 13", "l": "k + 17", "i": "l + 14", "o": 12}, "premises": {"o": 12}, "target": "x"}, "answer": {"steps": [["g", "d + 18", "d + 26"], ["d", "s + 1", "s + 27"], ["s", "w + 7", "w + 34"], ["w", "n + 18", "n + 52"], ["n", "o + 13", "o + 65"], ["o", 12, "77"]], "target_var_name": "x", "target_value": 77, "value_dict": {"o": 12}, "is_reverse": true}}
| 4,611
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = h + 8; d = s + 1; w = n + 18; o = 12; l = k + 17; n = o + 13; h = j + 12; g = d + 18; x = g + 8; k = p + 13; j = o + 19; i = l + 14; s = w + 7. Given that o = 12, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = d + 18 to x, which gives x = d + 26.\n2. Substitute d = s + 1 to x, which gives x = s + 27.\n3. Substitute s = w + 7 to x, which gives x = w + 34.\n4. Substitute w = n + 18 to x, which gives x = n + 52.\n5. Substitute n = o + 13 to x, which gives x = o + 65.\n6. Substitute o = 12 to x, which gives x = 77.\n\nThus, the final answer is x = \\boxed{77}.",
"index": 4611,
"question": "Suppose a collection of variables is related by the following definitions: p = h + 8; d = s + 1; w = n + 18; o = 12; l = k + 17; n = o + 13; h = j + 12; g = d + 18; x = g + 8; k = p + 13; j = o + 19; i = l + 14; s = w + 7. Given that o = 12, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"w": "y + 16", "s": "w + 2", "b": "s + 16", "h": "b + 16", "z": "h + 6", "a": "z + 16", "r": "y + 17", "o": "r + 14", "v": "o + 8", "l": "v + 17", "j": "l + 1", "k": "j + 1", "y": 8}, "premises": {"y": 8}, "target": "a"}, "answer": {"steps": [["z", "h + 6", "h + 22"], ["h", "b + 16", "b + 38"], ["b", "s + 16", "s + 54"], ["s", "w + 2", "w + 56"], ["w", "y + 16", "y + 72"], ["y", 8, "80"]], "target_var_name": "a", "target_value": 80, "value_dict": {"y": 8}, "is_reverse": true}}
| 4,612
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = b + 16; j = l + 1; w = y + 16; l = v + 17; s = w + 2; o = r + 14; r = y + 17; z = h + 6; y = 8; k = j + 1; v = o + 8; a = z + 16; b = s + 16. If y = 8, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = h + 6 to a, which gives a = h + 22.\n2. Substitute h = b + 16 to a, which gives a = b + 38.\n3. Substitute b = s + 16 to a, which gives a = s + 54.\n4. Substitute s = w + 2 to a, which gives a = w + 56.\n5. Substitute w = y + 16 to a, which gives a = y + 72.\n6. Substitute y = 8 to a, which gives a = 80.\n\nThus, the final answer is a = \\boxed{80}.",
"index": 4612,
"question": "Consider a system of variables where each variable is defined as follows: h = b + 16; j = l + 1; w = y + 16; l = v + 17; s = w + 2; o = r + 14; r = y + 17; z = h + 6; y = 8; k = j + 1; v = o + 8; a = z + 16; b = s + 16. If y = 8, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"e": "h + 19", "v": "e + 12", "b": "v + 8", "o": "b + 4", "f": "o + 8", "x": "f + 17", "q": "h + 9", "l": "q + 13", "w": "l + 19", "d": "w + 3", "r": "d + 12", "m": "r + 10", "h": 17}, "premises": {"h": 17}, "target": "x"}, "answer": {"steps": [["f", "o + 8", "o + 25"], ["o", "b + 4", "b + 29"], ["b", "v + 8", "v + 37"], ["v", "e + 12", "e + 49"], ["e", "h + 19", "h + 68"], ["h", 17, "85"]], "target_var_name": "x", "target_value": 85, "value_dict": {"h": 17}, "is_reverse": true}}
| 4,613
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = h + 19; q = h + 9; f = o + 8; l = q + 13; x = f + 17; d = w + 3; v = e + 12; w = l + 19; o = b + 4; r = d + 12; h = 17; m = r + 10; b = v + 8. If h = 17, what is the resulting value of x?",
"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 + 8 to x, which gives x = o + 25.\n2. Substitute o = b + 4 to x, which gives x = b + 29.\n3. Substitute b = v + 8 to x, which gives x = v + 37.\n4. Substitute v = e + 12 to x, which gives x = e + 49.\n5. Substitute e = h + 19 to x, which gives x = h + 68.\n6. Substitute h = 17 to x, which gives x = 85.\n\nThus, the final answer is x = \\boxed{85}.",
"index": 4613,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = h + 19; q = h + 9; f = o + 8; l = q + 13; x = f + 17; d = w + 3; v = e + 12; w = l + 19; o = b + 4; r = d + 12; h = 17; m = r + 10; b = v + 8. If h = 17, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"c": "j + 5", "g": "c + 11", "i": "g + 10", "p": "i + 3", "s": "p + 4", "z": "s + 20", "h": "j + 19", "m": "h + 9", "x": "m + 18", "l": "x + 20", "f": "l + 15", "w": "f + 17", "j": 13}, "premises": {"j": 13}, "target": "z"}, "answer": {"steps": [["s", "p + 4", "p + 24"], ["p", "i + 3", "i + 27"], ["i", "g + 10", "g + 37"], ["g", "c + 11", "c + 48"], ["c", "j + 5", "j + 53"], ["j", 13, "66"]], "target_var_name": "z", "target_value": 66, "value_dict": {"j": 13}, "is_reverse": true}}
| 4,614
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = f + 17; l = x + 20; f = l + 15; m = h + 9; p = i + 3; c = j + 5; i = g + 10; j = 13; s = p + 4; g = c + 11; z = s + 20; x = m + 18; h = j + 19. Given that j = 13, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = p + 4 to z, which gives z = p + 24.\n2. Substitute p = i + 3 to z, which gives z = i + 27.\n3. Substitute i = g + 10 to z, which gives z = g + 37.\n4. Substitute g = c + 11 to z, which gives z = c + 48.\n5. Substitute c = j + 5 to z, which gives z = j + 53.\n6. Substitute j = 13 to z, which gives z = 66.\n\nThus, the final answer is z = \\boxed{66}.",
"index": 4614,
"question": "Suppose a collection of variables is related by the following definitions: w = f + 17; l = x + 20; f = l + 15; m = h + 9; p = i + 3; c = j + 5; i = g + 10; j = 13; s = p + 4; g = c + 11; z = s + 20; x = m + 18; h = j + 19. Given that j = 13, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"z": "r + 1", "l": "z + 14", "w": "l + 15", "u": "w + 6", "v": "u + 18", "o": "v + 3", "n": "r + 9", "t": "n + 20", "f": "t + 7", "p": "f + 20", "d": "p + 12", "c": "d + 16", "r": 19}, "premises": {"r": 19}, "target": "o"}, "answer": {"steps": [["v", "u + 18", "u + 21"], ["u", "w + 6", "w + 27"], ["w", "l + 15", "l + 42"], ["l", "z + 14", "z + 56"], ["z", "r + 1", "r + 57"], ["r", 19, "76"]], "target_var_name": "o", "target_value": 76, "value_dict": {"r": 19}, "is_reverse": true}}
| 4,615
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = p + 12; z = r + 1; n = r + 9; f = t + 7; w = l + 15; v = u + 18; t = n + 20; r = 19; p = f + 20; u = w + 6; o = v + 3; c = d + 16; l = z + 14. If r = 19, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = u + 18 to o, which gives o = u + 21.\n2. Substitute u = w + 6 to o, which gives o = w + 27.\n3. Substitute w = l + 15 to o, which gives o = l + 42.\n4. Substitute l = z + 14 to o, which gives o = z + 56.\n5. Substitute z = r + 1 to o, which gives o = r + 57.\n6. Substitute r = 19 to o, which gives o = 76.\n\nThus, the final answer is o = \\boxed{76}.",
"index": 4615,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = p + 12; z = r + 1; n = r + 9; f = t + 7; w = l + 15; v = u + 18; t = n + 20; r = 19; p = f + 20; u = w + 6; o = v + 3; c = d + 16; l = z + 14. If r = 19, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"f": "v + 7", "m": "f + 2", "e": "m + 16", "z": "e + 15", "p": "z + 7", "x": "p + 19", "j": "v + 10", "o": "j + 5", "l": "o + 17", "y": "l + 15", "c": "y + 12", "q": "c + 14", "v": 14}, "premises": {"v": 14}, "target": "x"}, "answer": {"steps": [["p", "z + 7", "z + 26"], ["z", "e + 15", "e + 41"], ["e", "m + 16", "m + 57"], ["m", "f + 2", "f + 59"], ["f", "v + 7", "v + 66"], ["v", 14, "80"]], "target_var_name": "x", "target_value": 80, "value_dict": {"v": 14}, "is_reverse": true}}
| 4,616
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = f + 2; o = j + 5; j = v + 10; z = e + 15; f = v + 7; x = p + 19; v = 14; e = m + 16; c = y + 12; q = c + 14; y = l + 15; p = z + 7; l = o + 17. If v = 14, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = z + 7 to x, which gives x = z + 26.\n2. Substitute z = e + 15 to x, which gives x = e + 41.\n3. Substitute e = m + 16 to x, which gives x = m + 57.\n4. Substitute m = f + 2 to x, which gives x = f + 59.\n5. Substitute f = v + 7 to x, which gives x = v + 66.\n6. Substitute v = 14 to x, which gives x = 80.\n\nThus, the final answer is x = \\boxed{80}.",
"index": 4616,
"question": "Consider a system of variables where each variable is defined as follows: m = f + 2; o = j + 5; j = v + 10; z = e + 15; f = v + 7; x = p + 19; v = 14; e = m + 16; c = y + 12; q = c + 14; y = l + 15; p = z + 7; l = o + 17. If v = 14, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"p": "g + 12", "o": "p + 5", "v": "o + 6", "c": "v + 3", "m": "c + 5", "r": "m + 2", "q": "g + 19", "s": "q + 5", "d": "s + 3", "h": "d + 3", "n": "h + 5", "w": "n + 6", "g": 11}, "premises": {"g": 11}, "target": "r"}, "answer": {"steps": [["m", "c + 5", "c + 7"], ["c", "v + 3", "v + 10"], ["v", "o + 6", "o + 16"], ["o", "p + 5", "p + 21"], ["p", "g + 12", "g + 33"], ["g", 11, "44"]], "target_var_name": "r", "target_value": 44, "value_dict": {"g": 11}, "is_reverse": true}}
| 4,617
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = p + 5; h = d + 3; c = v + 3; r = m + 2; p = g + 12; w = n + 6; v = o + 6; d = s + 3; n = h + 5; s = q + 5; g = 11; m = c + 5; q = g + 19. If g = 11, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 44,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = c + 5 to r, which gives r = c + 7.\n2. Substitute c = v + 3 to r, which gives r = v + 10.\n3. Substitute v = o + 6 to r, which gives r = o + 16.\n4. Substitute o = p + 5 to r, which gives r = p + 21.\n5. Substitute p = g + 12 to r, which gives r = g + 33.\n6. Substitute g = 11 to r, which gives r = 44.\n\nThus, the final answer is r = \\boxed{44}.",
"index": 4617,
"question": "Consider a system of variables where each variable is defined as follows: o = p + 5; h = d + 3; c = v + 3; r = m + 2; p = g + 12; w = n + 6; v = o + 6; d = s + 3; n = h + 5; s = q + 5; g = 11; m = c + 5; q = g + 19. If g = 11, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"r": "v + 8", "y": "r + 2", "s": "y + 20", "l": "s + 11", "o": "l + 16", "q": "o + 19", "m": "v + 18", "h": "m + 8", "d": "h + 20", "k": "d + 19", "b": "k + 19", "g": "b + 1", "v": 13}, "premises": {"v": 13}, "target": "q"}, "answer": {"steps": [["o", "l + 16", "l + 35"], ["l", "s + 11", "s + 46"], ["s", "y + 20", "y + 66"], ["y", "r + 2", "r + 68"], ["r", "v + 8", "v + 76"], ["v", 13, "89"]], "target_var_name": "q", "target_value": 89, "value_dict": {"v": 13}, "is_reverse": true}}
| 4,618
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = y + 20; l = s + 11; g = b + 1; v = 13; d = h + 20; m = v + 18; h = m + 8; o = l + 16; r = v + 8; k = d + 19; q = o + 19; b = k + 19; y = r + 2. If v = 13, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = l + 16 to q, which gives q = l + 35.\n2. Substitute l = s + 11 to q, which gives q = s + 46.\n3. Substitute s = y + 20 to q, which gives q = y + 66.\n4. Substitute y = r + 2 to q, which gives q = r + 68.\n5. Substitute r = v + 8 to q, which gives q = v + 76.\n6. Substitute v = 13 to q, which gives q = 89.\n\nThus, the final answer is q = \\boxed{89}.",
"index": 4618,
"question": "Consider a system of variables where each variable is defined as follows: s = y + 20; l = s + 11; g = b + 1; v = 13; d = h + 20; m = v + 18; h = m + 8; o = l + 16; r = v + 8; k = d + 19; q = o + 19; b = k + 19; y = r + 2. If v = 13, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"e": "l + 15", "a": "e + 17", "u": "a + 12", "t": "u + 18", "i": "t + 6", "k": "i + 6", "w": "l + 6", "c": "w + 13", "g": "c + 13", "j": "g + 15", "q": "j + 16", "b": "q + 3", "l": 20}, "premises": {"l": 20}, "target": "k"}, "answer": {"steps": [["i", "t + 6", "t + 12"], ["t", "u + 18", "u + 30"], ["u", "a + 12", "a + 42"], ["a", "e + 17", "e + 59"], ["e", "l + 15", "l + 74"], ["l", 20, "94"]], "target_var_name": "k", "target_value": 94, "value_dict": {"l": 20}, "is_reverse": true}}
| 4,619
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = u + 18; a = e + 17; w = l + 6; j = g + 15; l = 20; b = q + 3; q = j + 16; e = l + 15; c = w + 13; g = c + 13; k = i + 6; i = t + 6; u = a + 12. Given that l = 20, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = t + 6 to k, which gives k = t + 12.\n2. Substitute t = u + 18 to k, which gives k = u + 30.\n3. Substitute u = a + 12 to k, which gives k = a + 42.\n4. Substitute a = e + 17 to k, which gives k = e + 59.\n5. Substitute e = l + 15 to k, which gives k = l + 74.\n6. Substitute l = 20 to k, which gives k = 94.\n\nThus, the final answer is k = \\boxed{94}.",
"index": 4619,
"question": "Suppose a collection of variables is related by the following definitions: t = u + 18; a = e + 17; w = l + 6; j = g + 15; l = 20; b = q + 3; q = j + 16; e = l + 15; c = w + 13; g = c + 13; k = i + 6; i = t + 6; u = a + 12. Given that l = 20, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"z": "q + 19", "w": "z + 15", "i": "w + 13", "x": "i + 3", "v": "x + 4", "u": "v + 14", "l": "q + 11", "m": "l + 19", "f": "m + 17", "b": "f + 1", "d": "b + 20", "j": "d + 14", "q": 13}, "premises": {"q": 13}, "target": "u"}, "answer": {"steps": [["v", "x + 4", "x + 18"], ["x", "i + 3", "i + 21"], ["i", "w + 13", "w + 34"], ["w", "z + 15", "z + 49"], ["z", "q + 19", "q + 68"], ["q", 13, "81"]], "target_var_name": "u", "target_value": 81, "value_dict": {"q": 13}, "is_reverse": true}}
| 4,620
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = x + 4; l = q + 11; u = v + 14; f = m + 17; b = f + 1; i = w + 13; q = 13; w = z + 15; m = l + 19; x = i + 3; d = b + 20; z = q + 19; j = d + 14. If q = 13, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = x + 4 to u, which gives u = x + 18.\n2. Substitute x = i + 3 to u, which gives u = i + 21.\n3. Substitute i = w + 13 to u, which gives u = w + 34.\n4. Substitute w = z + 15 to u, which gives u = z + 49.\n5. Substitute z = q + 19 to u, which gives u = q + 68.\n6. Substitute q = 13 to u, which gives u = 81.\n\nThus, the final answer is u = \\boxed{81}.",
"index": 4620,
"question": "Consider a system of variables where each variable is defined as follows: v = x + 4; l = q + 11; u = v + 14; f = m + 17; b = f + 1; i = w + 13; q = 13; w = z + 15; m = l + 19; x = i + 3; d = b + 20; z = q + 19; j = d + 14. If q = 13, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"n": "l + 13", "v": "n + 9", "e": "v + 6", "x": "e + 6", "q": "x + 20", "z": "q + 8", "i": "l + 10", "m": "i + 6", "d": "m + 10", "c": "d + 17", "o": "c + 18", "a": "o + 3", "l": 4}, "premises": {"l": 4}, "target": "z"}, "answer": {"steps": [["q", "x + 20", "x + 28"], ["x", "e + 6", "e + 34"], ["e", "v + 6", "v + 40"], ["v", "n + 9", "n + 49"], ["n", "l + 13", "l + 62"], ["l", 4, "66"]], "target_var_name": "z", "target_value": 66, "value_dict": {"l": 4}, "is_reverse": true}}
| 4,621
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = v + 6; v = n + 9; x = e + 6; n = l + 13; d = m + 10; c = d + 17; z = q + 8; a = o + 3; o = c + 18; q = x + 20; m = i + 6; l = 4; i = l + 10. Given that l = 4, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = x + 20 to z, which gives z = x + 28.\n2. Substitute x = e + 6 to z, which gives z = e + 34.\n3. Substitute e = v + 6 to z, which gives z = v + 40.\n4. Substitute v = n + 9 to z, which gives z = n + 49.\n5. Substitute n = l + 13 to z, which gives z = l + 62.\n6. Substitute l = 4 to z, which gives z = 66.\n\nThus, the final answer is z = \\boxed{66}.",
"index": 4621,
"question": "Suppose a collection of variables is related by the following definitions: e = v + 6; v = n + 9; x = e + 6; n = l + 13; d = m + 10; c = d + 17; z = q + 8; a = o + 3; o = c + 18; q = x + 20; m = i + 6; l = 4; i = l + 10. Given that l = 4, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"w": "h + 5", "v": "w + 9", "q": "v + 3", "s": "q + 1", "l": "s + 7", "y": "l + 8", "b": "h + 5", "c": "b + 17", "j": "c + 9", "p": "j + 2", "t": "p + 7", "e": "t + 5", "h": 8}, "premises": {"h": 8}, "target": "y"}, "answer": {"steps": [["l", "s + 7", "s + 15"], ["s", "q + 1", "q + 16"], ["q", "v + 3", "v + 19"], ["v", "w + 9", "w + 28"], ["w", "h + 5", "h + 33"], ["h", 8, "41"]], "target_var_name": "y", "target_value": 41, "value_dict": {"h": 8}, "is_reverse": true}}
| 4,622
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = w + 9; b = h + 5; h = 8; w = h + 5; q = v + 3; y = l + 8; c = b + 17; p = j + 2; e = t + 5; j = c + 9; t = p + 7; l = s + 7; s = q + 1. Given that h = 8, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 41,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = s + 7 to y, which gives y = s + 15.\n2. Substitute s = q + 1 to y, which gives y = q + 16.\n3. Substitute q = v + 3 to y, which gives y = v + 19.\n4. Substitute v = w + 9 to y, which gives y = w + 28.\n5. Substitute w = h + 5 to y, which gives y = h + 33.\n6. Substitute h = 8 to y, which gives y = 41.\n\nThus, the final answer is y = \\boxed{41}.",
"index": 4622,
"question": "Suppose a collection of variables is related by the following definitions: v = w + 9; b = h + 5; h = 8; w = h + 5; q = v + 3; y = l + 8; c = b + 17; p = j + 2; e = t + 5; j = c + 9; t = p + 7; l = s + 7; s = q + 1. Given that h = 8, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"e": "o + 6", "t": "e + 14", "d": "t + 14", "k": "d + 20", "p": "k + 1", "z": "p + 5", "a": "o + 10", "h": "a + 4", "j": "h + 2", "n": "j + 15", "w": "n + 15", "q": "w + 14", "o": 19}, "premises": {"o": 19}, "target": "z"}, "answer": {"steps": [["p", "k + 1", "k + 6"], ["k", "d + 20", "d + 26"], ["d", "t + 14", "t + 40"], ["t", "e + 14", "e + 54"], ["e", "o + 6", "o + 60"], ["o", 19, "79"]], "target_var_name": "z", "target_value": 79, "value_dict": {"o": 19}, "is_reverse": true}}
| 4,623
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = e + 14; p = k + 1; j = h + 2; o = 19; w = n + 15; z = p + 5; q = w + 14; h = a + 4; a = o + 10; d = t + 14; e = o + 6; n = j + 15; k = d + 20. If o = 19, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = k + 1 to z, which gives z = k + 6.\n2. Substitute k = d + 20 to z, which gives z = d + 26.\n3. Substitute d = t + 14 to z, which gives z = t + 40.\n4. Substitute t = e + 14 to z, which gives z = e + 54.\n5. Substitute e = o + 6 to z, which gives z = o + 60.\n6. Substitute o = 19 to z, which gives z = 79.\n\nThus, the final answer is z = \\boxed{79}.",
"index": 4623,
"question": "Consider a system of variables where each variable is defined as follows: t = e + 14; p = k + 1; j = h + 2; o = 19; w = n + 15; z = p + 5; q = w + 14; h = a + 4; a = o + 10; d = t + 14; e = o + 6; n = j + 15; k = d + 20. If o = 19, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"j": "m + 1", "z": "j + 7", "i": "z + 12", "u": "i + 13", "l": "u + 1", "k": "l + 13", "t": "m + 13", "w": "t + 5", "r": "w + 10", "a": "r + 14", "p": "a + 4", "v": "p + 2", "m": 15}, "premises": {"m": 15}, "target": "k"}, "answer": {"steps": [["l", "u + 1", "u + 14"], ["u", "i + 13", "i + 27"], ["i", "z + 12", "z + 39"], ["z", "j + 7", "j + 46"], ["j", "m + 1", "m + 47"], ["m", 15, "62"]], "target_var_name": "k", "target_value": 62, "value_dict": {"m": 15}, "is_reverse": true}}
| 4,624
| 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 = m + 1; l = u + 1; r = w + 10; t = m + 13; i = z + 12; a = r + 14; m = 15; u = i + 13; p = a + 4; w = t + 5; k = l + 13; v = p + 2; z = j + 7. If m = 15, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = u + 1 to k, which gives k = u + 14.\n2. Substitute u = i + 13 to k, which gives k = i + 27.\n3. Substitute i = z + 12 to k, which gives k = z + 39.\n4. Substitute z = j + 7 to k, which gives k = j + 46.\n5. Substitute j = m + 1 to k, which gives k = m + 47.\n6. Substitute m = 15 to k, which gives k = 62.\n\nThus, the final answer is k = \\boxed{62}.",
"index": 4624,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = m + 1; l = u + 1; r = w + 10; t = m + 13; i = z + 12; a = r + 14; m = 15; u = i + 13; p = a + 4; w = t + 5; k = l + 13; v = p + 2; z = j + 7. If m = 15, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"e": "v + 6", "l": "e + 9", "h": "l + 13", "g": "h + 14", "i": "g + 12", "k": "i + 2", "y": "v + 18", "j": "y + 19", "t": "j + 3", "c": "t + 5", "f": "c + 5", "w": "f + 1", "v": 19}, "premises": {"v": 19}, "target": "k"}, "answer": {"steps": [["i", "g + 12", "g + 14"], ["g", "h + 14", "h + 28"], ["h", "l + 13", "l + 41"], ["l", "e + 9", "e + 50"], ["e", "v + 6", "v + 56"], ["v", 19, "75"]], "target_var_name": "k", "target_value": 75, "value_dict": {"v": 19}, "is_reverse": true}}
| 4,625
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = c + 5; v = 19; l = e + 9; i = g + 12; w = f + 1; y = v + 18; k = i + 2; g = h + 14; c = t + 5; j = y + 19; e = v + 6; h = l + 13; t = j + 3. Given that v = 19, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = g + 12 to k, which gives k = g + 14.\n2. Substitute g = h + 14 to k, which gives k = h + 28.\n3. Substitute h = l + 13 to k, which gives k = l + 41.\n4. Substitute l = e + 9 to k, which gives k = e + 50.\n5. Substitute e = v + 6 to k, which gives k = v + 56.\n6. Substitute v = 19 to k, which gives k = 75.\n\nThus, the final answer is k = \\boxed{75}.",
"index": 4625,
"question": "Suppose a collection of variables is related by the following definitions: f = c + 5; v = 19; l = e + 9; i = g + 12; w = f + 1; y = v + 18; k = i + 2; g = h + 14; c = t + 5; j = y + 19; e = v + 6; h = l + 13; t = j + 3. Given that v = 19, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"n": "w + 1", "l": "n + 15", "m": "l + 9", "g": "m + 12", "e": "g + 18", "d": "e + 12", "s": "w + 15", "j": "s + 20", "a": "j + 11", "b": "a + 16", "x": "b + 9", "v": "x + 4", "w": 15}, "premises": {"w": 15}, "target": "d"}, "answer": {"steps": [["e", "g + 18", "g + 30"], ["g", "m + 12", "m + 42"], ["m", "l + 9", "l + 51"], ["l", "n + 15", "n + 66"], ["n", "w + 1", "w + 67"], ["w", 15, "82"]], "target_var_name": "d", "target_value": 82, "value_dict": {"w": 15}, "is_reverse": true}}
| 4,626
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = l + 9; d = e + 12; e = g + 18; a = j + 11; s = w + 15; j = s + 20; b = a + 16; l = n + 15; v = x + 4; n = w + 1; x = b + 9; g = m + 12; w = 15. If w = 15, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = g + 18 to d, which gives d = g + 30.\n2. Substitute g = m + 12 to d, which gives d = m + 42.\n3. Substitute m = l + 9 to d, which gives d = l + 51.\n4. Substitute l = n + 15 to d, which gives d = n + 66.\n5. Substitute n = w + 1 to d, which gives d = w + 67.\n6. Substitute w = 15 to d, which gives d = 82.\n\nThus, the final answer is d = \\boxed{82}.",
"index": 4626,
"question": "Consider a system of variables where each variable is defined as follows: m = l + 9; d = e + 12; e = g + 18; a = j + 11; s = w + 15; j = s + 20; b = a + 16; l = n + 15; v = x + 4; n = w + 1; x = b + 9; g = m + 12; w = 15. If w = 15, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"m": "e + 4", "z": "m + 15", "h": "z + 12", "o": "h + 16", "y": "o + 13", "s": "y + 4", "v": "e + 20", "u": "v + 14", "j": "u + 18", "n": "j + 11", "g": "n + 19", "l": "g + 15", "e": 19}, "premises": {"e": 19}, "target": "s"}, "answer": {"steps": [["y", "o + 13", "o + 17"], ["o", "h + 16", "h + 33"], ["h", "z + 12", "z + 45"], ["z", "m + 15", "m + 60"], ["m", "e + 4", "e + 64"], ["e", 19, "83"]], "target_var_name": "s", "target_value": 83, "value_dict": {"e": 19}, "is_reverse": true}}
| 4,627
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = g + 15; g = n + 19; o = h + 16; e = 19; j = u + 18; s = y + 4; z = m + 15; v = e + 20; h = z + 12; u = v + 14; y = o + 13; m = e + 4; n = j + 11. If e = 19, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = o + 13 to s, which gives s = o + 17.\n2. Substitute o = h + 16 to s, which gives s = h + 33.\n3. Substitute h = z + 12 to s, which gives s = z + 45.\n4. Substitute z = m + 15 to s, which gives s = m + 60.\n5. Substitute m = e + 4 to s, which gives s = e + 64.\n6. Substitute e = 19 to s, which gives s = 83.\n\nThus, the final answer is s = \\boxed{83}.",
"index": 4627,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = g + 15; g = n + 19; o = h + 16; e = 19; j = u + 18; s = y + 4; z = m + 15; v = e + 20; h = z + 12; u = v + 14; y = o + 13; m = e + 4; n = j + 11. If e = 19, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"o": "a + 16", "u": "o + 6", "k": "u + 15", "z": "k + 12", "n": "z + 6", "t": "n + 3", "i": "a + 17", "h": "i + 7", "b": "h + 10", "d": "b + 9", "l": "d + 19", "y": "l + 7", "a": 5}, "premises": {"a": 5}, "target": "t"}, "answer": {"steps": [["n", "z + 6", "z + 9"], ["z", "k + 12", "k + 21"], ["k", "u + 15", "u + 36"], ["u", "o + 6", "o + 42"], ["o", "a + 16", "a + 58"], ["a", 5, "63"]], "target_var_name": "t", "target_value": 63, "value_dict": {"a": 5}, "is_reverse": true}}
| 4,628
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = i + 7; n = z + 6; t = n + 3; a = 5; l = d + 19; z = k + 12; i = a + 17; d = b + 9; b = h + 10; u = o + 6; o = a + 16; y = l + 7; k = u + 15. If a = 5, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = z + 6 to t, which gives t = z + 9.\n2. Substitute z = k + 12 to t, which gives t = k + 21.\n3. Substitute k = u + 15 to t, which gives t = u + 36.\n4. Substitute u = o + 6 to t, which gives t = o + 42.\n5. Substitute o = a + 16 to t, which gives t = a + 58.\n6. Substitute a = 5 to t, which gives t = 63.\n\nThus, the final answer is t = \\boxed{63}.",
"index": 4628,
"question": "Consider a system of variables where each variable is defined as follows: h = i + 7; n = z + 6; t = n + 3; a = 5; l = d + 19; z = k + 12; i = a + 17; d = b + 9; b = h + 10; u = o + 6; o = a + 16; y = l + 7; k = u + 15. If a = 5, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"r": "u + 16", "g": "r + 15", "w": "g + 16", "c": "w + 10", "f": "c + 11", "d": "f + 6", "i": "u + 16", "k": "i + 11", "m": "k + 20", "q": "m + 11", "p": "q + 14", "b": "p + 12", "u": 14}, "premises": {"u": 14}, "target": "d"}, "answer": {"steps": [["f", "c + 11", "c + 17"], ["c", "w + 10", "w + 27"], ["w", "g + 16", "g + 43"], ["g", "r + 15", "r + 58"], ["r", "u + 16", "u + 74"], ["u", 14, "88"]], "target_var_name": "d", "target_value": 88, "value_dict": {"u": 14}, "is_reverse": true}}
| 4,629
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = u + 16; w = g + 16; m = k + 20; u = 14; g = r + 15; i = u + 16; b = p + 12; f = c + 11; q = m + 11; k = i + 11; d = f + 6; p = q + 14; c = w + 10. If u = 14, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = c + 11 to d, which gives d = c + 17.\n2. Substitute c = w + 10 to d, which gives d = w + 27.\n3. Substitute w = g + 16 to d, which gives d = g + 43.\n4. Substitute g = r + 15 to d, which gives d = r + 58.\n5. Substitute r = u + 16 to d, which gives d = u + 74.\n6. Substitute u = 14 to d, which gives d = 88.\n\nThus, the final answer is d = \\boxed{88}.",
"index": 4629,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = u + 16; w = g + 16; m = k + 20; u = 14; g = r + 15; i = u + 16; b = p + 12; f = c + 11; q = m + 11; k = i + 11; d = f + 6; p = q + 14; c = w + 10. If u = 14, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"c": "d + 19", "j": "c + 12", "l": "j + 15", "g": "l + 9", "z": "g + 4", "n": "z + 13", "s": "d + 11", "o": "s + 17", "i": "o + 13", "b": "i + 19", "f": "b + 2", "p": "f + 5", "d": 16}, "premises": {"d": 16}, "target": "n"}, "answer": {"steps": [["z", "g + 4", "g + 17"], ["g", "l + 9", "l + 26"], ["l", "j + 15", "j + 41"], ["j", "c + 12", "c + 53"], ["c", "d + 19", "d + 72"], ["d", 16, "88"]], "target_var_name": "n", "target_value": 88, "value_dict": {"d": 16}, "is_reverse": true}}
| 4,630
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = f + 5; n = z + 13; f = b + 2; g = l + 9; z = g + 4; j = c + 12; d = 16; b = i + 19; i = o + 13; o = s + 17; l = j + 15; s = d + 11; c = d + 19. Given that d = 16, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = g + 4 to n, which gives n = g + 17.\n2. Substitute g = l + 9 to n, which gives n = l + 26.\n3. Substitute l = j + 15 to n, which gives n = j + 41.\n4. Substitute j = c + 12 to n, which gives n = c + 53.\n5. Substitute c = d + 19 to n, which gives n = d + 72.\n6. Substitute d = 16 to n, which gives n = 88.\n\nThus, the final answer is n = \\boxed{88}.",
"index": 4630,
"question": "Suppose a collection of variables is related by the following definitions: p = f + 5; n = z + 13; f = b + 2; g = l + 9; z = g + 4; j = c + 12; d = 16; b = i + 19; i = o + 13; o = s + 17; l = j + 15; s = d + 11; c = d + 19. Given that d = 16, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"k": "q + 18", "j": "k + 3", "z": "j + 5", "h": "z + 18", "p": "h + 12", "m": "p + 16", "x": "q + 17", "o": "x + 5", "b": "o + 17", "l": "b + 13", "i": "l + 1", "r": "i + 8", "q": 4}, "premises": {"q": 4}, "target": "m"}, "answer": {"steps": [["p", "h + 12", "h + 28"], ["h", "z + 18", "z + 46"], ["z", "j + 5", "j + 51"], ["j", "k + 3", "k + 54"], ["k", "q + 18", "q + 72"], ["q", 4, "76"]], "target_var_name": "m", "target_value": 76, "value_dict": {"q": 4}, "is_reverse": true}}
| 4,631
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = i + 8; i = l + 1; j = k + 3; l = b + 13; p = h + 12; h = z + 18; x = q + 17; q = 4; k = q + 18; z = j + 5; b = o + 17; o = x + 5; m = p + 16. If q = 4, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = h + 12 to m, which gives m = h + 28.\n2. Substitute h = z + 18 to m, which gives m = z + 46.\n3. Substitute z = j + 5 to m, which gives m = j + 51.\n4. Substitute j = k + 3 to m, which gives m = k + 54.\n5. Substitute k = q + 18 to m, which gives m = q + 72.\n6. Substitute q = 4 to m, which gives m = 76.\n\nThus, the final answer is m = \\boxed{76}.",
"index": 4631,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = i + 8; i = l + 1; j = k + 3; l = b + 13; p = h + 12; h = z + 18; x = q + 17; q = 4; k = q + 18; z = j + 5; b = o + 17; o = x + 5; m = p + 16. If q = 4, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"o": "g + 10", "b": "o + 7", "z": "b + 16", "t": "z + 12", "j": "t + 9", "u": "j + 20", "l": "g + 14", "n": "l + 3", "d": "n + 15", "v": "d + 20", "e": "v + 12", "m": "e + 2", "g": 15}, "premises": {"g": 15}, "target": "u"}, "answer": {"steps": [["j", "t + 9", "t + 29"], ["t", "z + 12", "z + 41"], ["z", "b + 16", "b + 57"], ["b", "o + 7", "o + 64"], ["o", "g + 10", "g + 74"], ["g", 15, "89"]], "target_var_name": "u", "target_value": 89, "value_dict": {"g": 15}, "is_reverse": true}}
| 4,632
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = l + 3; g = 15; z = b + 16; o = g + 10; d = n + 15; b = o + 7; m = e + 2; j = t + 9; t = z + 12; v = d + 20; l = g + 14; e = v + 12; u = j + 20. Given that g = 15, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = t + 9 to u, which gives u = t + 29.\n2. Substitute t = z + 12 to u, which gives u = z + 41.\n3. Substitute z = b + 16 to u, which gives u = b + 57.\n4. Substitute b = o + 7 to u, which gives u = o + 64.\n5. Substitute o = g + 10 to u, which gives u = g + 74.\n6. Substitute g = 15 to u, which gives u = 89.\n\nThus, the final answer is u = \\boxed{89}.",
"index": 4632,
"question": "Suppose a collection of variables is related by the following definitions: n = l + 3; g = 15; z = b + 16; o = g + 10; d = n + 15; b = o + 7; m = e + 2; j = t + 9; t = z + 12; v = d + 20; l = g + 14; e = v + 12; u = j + 20. Given that g = 15, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"d": "i + 17", "w": "d + 16", "y": "w + 4", "b": "y + 14", "o": "b + 11", "n": "o + 1", "k": "i + 18", "f": "k + 2", "g": "f + 8", "a": "g + 2", "h": "a + 10", "j": "h + 18", "i": 20}, "premises": {"i": 20}, "target": "n"}, "answer": {"steps": [["o", "b + 11", "b + 12"], ["b", "y + 14", "y + 26"], ["y", "w + 4", "w + 30"], ["w", "d + 16", "d + 46"], ["d", "i + 17", "i + 63"], ["i", 20, "83"]], "target_var_name": "n", "target_value": 83, "value_dict": {"i": 20}, "is_reverse": true}}
| 4,633
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = i + 18; d = i + 17; w = d + 16; o = b + 11; b = y + 14; a = g + 2; h = a + 10; f = k + 2; j = h + 18; i = 20; n = o + 1; y = w + 4; g = f + 8. If i = 20, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = b + 11 to n, which gives n = b + 12.\n2. Substitute b = y + 14 to n, which gives n = y + 26.\n3. Substitute y = w + 4 to n, which gives n = w + 30.\n4. Substitute w = d + 16 to n, which gives n = d + 46.\n5. Substitute d = i + 17 to n, which gives n = i + 63.\n6. Substitute i = 20 to n, which gives n = 83.\n\nThus, the final answer is n = \\boxed{83}.",
"index": 4633,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = i + 18; d = i + 17; w = d + 16; o = b + 11; b = y + 14; a = g + 2; h = a + 10; f = k + 2; j = h + 18; i = 20; n = o + 1; y = w + 4; g = f + 8. If i = 20, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"z": "k + 6", "l": "z + 18", "a": "l + 17", "s": "a + 11", "d": "s + 3", "t": "d + 17", "e": "k + 5", "n": "e + 19", "f": "n + 12", "b": "f + 2", "r": "b + 9", "x": "r + 6", "k": 9}, "premises": {"k": 9}, "target": "t"}, "answer": {"steps": [["d", "s + 3", "s + 20"], ["s", "a + 11", "a + 31"], ["a", "l + 17", "l + 48"], ["l", "z + 18", "z + 66"], ["z", "k + 6", "k + 72"], ["k", 9, "81"]], "target_var_name": "t", "target_value": 81, "value_dict": {"k": 9}, "is_reverse": true}}
| 4,634
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = 9; x = r + 6; l = z + 18; s = a + 11; n = e + 19; r = b + 9; z = k + 6; t = d + 17; d = s + 3; a = l + 17; f = n + 12; b = f + 2; e = k + 5. If k = 9, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = s + 3 to t, which gives t = s + 20.\n2. Substitute s = a + 11 to t, which gives t = a + 31.\n3. Substitute a = l + 17 to t, which gives t = l + 48.\n4. Substitute l = z + 18 to t, which gives t = z + 66.\n5. Substitute z = k + 6 to t, which gives t = k + 72.\n6. Substitute k = 9 to t, which gives t = 81.\n\nThus, the final answer is t = \\boxed{81}.",
"index": 4634,
"question": "Consider a system of variables where each variable is defined as follows: k = 9; x = r + 6; l = z + 18; s = a + 11; n = e + 19; r = b + 9; z = k + 6; t = d + 17; d = s + 3; a = l + 17; f = n + 12; b = f + 2; e = k + 5. If k = 9, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"b": "j + 10", "c": "b + 14", "v": "c + 11", "u": "v + 13", "d": "u + 12", "o": "d + 19", "n": "j + 5", "a": "n + 14", "w": "a + 9", "t": "w + 11", "r": "t + 1", "g": "r + 4", "j": 12}, "premises": {"j": 12}, "target": "o"}, "answer": {"steps": [["d", "u + 12", "u + 31"], ["u", "v + 13", "v + 44"], ["v", "c + 11", "c + 55"], ["c", "b + 14", "b + 69"], ["b", "j + 10", "j + 79"], ["j", 12, "91"]], "target_var_name": "o", "target_value": 91, "value_dict": {"j": 12}, "is_reverse": true}}
| 4,635
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = j + 5; j = 12; a = n + 14; d = u + 12; u = v + 13; c = b + 14; o = d + 19; b = j + 10; g = r + 4; t = w + 11; w = a + 9; v = c + 11; r = t + 1. If j = 12, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = u + 12 to o, which gives o = u + 31.\n2. Substitute u = v + 13 to o, which gives o = v + 44.\n3. Substitute v = c + 11 to o, which gives o = c + 55.\n4. Substitute c = b + 14 to o, which gives o = b + 69.\n5. Substitute b = j + 10 to o, which gives o = j + 79.\n6. Substitute j = 12 to o, which gives o = 91.\n\nThus, the final answer is o = \\boxed{91}.",
"index": 4635,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = j + 5; j = 12; a = n + 14; d = u + 12; u = v + 13; c = b + 14; o = d + 19; b = j + 10; g = r + 4; t = w + 11; w = a + 9; v = c + 11; r = t + 1. If j = 12, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"w": "m + 6", "b": "w + 20", "o": "b + 16", "n": "o + 4", "j": "n + 17", "u": "j + 2", "i": "m + 3", "x": "i + 7", "p": "x + 7", "z": "p + 3", "l": "z + 15", "e": "l + 14", "m": 16}, "premises": {"m": 16}, "target": "u"}, "answer": {"steps": [["j", "n + 17", "n + 19"], ["n", "o + 4", "o + 23"], ["o", "b + 16", "b + 39"], ["b", "w + 20", "w + 59"], ["w", "m + 6", "m + 65"], ["m", 16, "81"]], "target_var_name": "u", "target_value": 81, "value_dict": {"m": 16}, "is_reverse": true}}
| 4,636
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = o + 4; i = m + 3; w = m + 6; u = j + 2; e = l + 14; o = b + 16; p = x + 7; z = p + 3; x = i + 7; m = 16; l = z + 15; j = n + 17; b = w + 20. If m = 16, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = n + 17 to u, which gives u = n + 19.\n2. Substitute n = o + 4 to u, which gives u = o + 23.\n3. Substitute o = b + 16 to u, which gives u = b + 39.\n4. Substitute b = w + 20 to u, which gives u = w + 59.\n5. Substitute w = m + 6 to u, which gives u = m + 65.\n6. Substitute m = 16 to u, which gives u = 81.\n\nThus, the final answer is u = \\boxed{81}.",
"index": 4636,
"question": "Consider a system of variables where each variable is defined as follows: n = o + 4; i = m + 3; w = m + 6; u = j + 2; e = l + 14; o = b + 16; p = x + 7; z = p + 3; x = i + 7; m = 16; l = z + 15; j = n + 17; b = w + 20. If m = 16, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"e": "w + 1", "u": "e + 9", "l": "u + 19", "p": "l + 6", "z": "p + 7", "x": "z + 20", "q": "w + 20", "v": "q + 9", "j": "v + 8", "a": "j + 17", "h": "a + 3", "t": "h + 4", "w": 14}, "premises": {"w": 14}, "target": "x"}, "answer": {"steps": [["z", "p + 7", "p + 27"], ["p", "l + 6", "l + 33"], ["l", "u + 19", "u + 52"], ["u", "e + 9", "e + 61"], ["e", "w + 1", "w + 62"], ["w", 14, "76"]], "target_var_name": "x", "target_value": 76, "value_dict": {"w": 14}, "is_reverse": true}}
| 4,637
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = e + 9; q = w + 20; w = 14; p = l + 6; t = h + 4; e = w + 1; v = q + 9; h = a + 3; a = j + 17; l = u + 19; z = p + 7; j = v + 8; x = z + 20. If w = 14, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = p + 7 to x, which gives x = p + 27.\n2. Substitute p = l + 6 to x, which gives x = l + 33.\n3. Substitute l = u + 19 to x, which gives x = u + 52.\n4. Substitute u = e + 9 to x, which gives x = e + 61.\n5. Substitute e = w + 1 to x, which gives x = w + 62.\n6. Substitute w = 14 to x, which gives x = 76.\n\nThus, the final answer is x = \\boxed{76}.",
"index": 4637,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = e + 9; q = w + 20; w = 14; p = l + 6; t = h + 4; e = w + 1; v = q + 9; h = a + 3; a = j + 17; l = u + 19; z = p + 7; j = v + 8; x = z + 20. If w = 14, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"r": "k + 16", "p": "r + 3", "d": "p + 11", "t": "d + 19", "i": "t + 1", "o": "i + 1", "v": "k + 14", "h": "v + 18", "e": "h + 7", "b": "e + 17", "s": "b + 9", "a": "s + 14", "k": 17}, "premises": {"k": 17}, "target": "o"}, "answer": {"steps": [["i", "t + 1", "t + 2"], ["t", "d + 19", "d + 21"], ["d", "p + 11", "p + 32"], ["p", "r + 3", "r + 35"], ["r", "k + 16", "k + 51"], ["k", 17, "68"]], "target_var_name": "o", "target_value": 68, "value_dict": {"k": 17}, "is_reverse": true}}
| 4,638
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = b + 9; h = v + 18; d = p + 11; i = t + 1; p = r + 3; b = e + 17; v = k + 14; a = s + 14; o = i + 1; e = h + 7; t = d + 19; k = 17; r = k + 16. Given that k = 17, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = t + 1 to o, which gives o = t + 2.\n2. Substitute t = d + 19 to o, which gives o = d + 21.\n3. Substitute d = p + 11 to o, which gives o = p + 32.\n4. Substitute p = r + 3 to o, which gives o = r + 35.\n5. Substitute r = k + 16 to o, which gives o = k + 51.\n6. Substitute k = 17 to o, which gives o = 68.\n\nThus, the final answer is o = \\boxed{68}.",
"index": 4638,
"question": "Suppose a collection of variables is related by the following definitions: s = b + 9; h = v + 18; d = p + 11; i = t + 1; p = r + 3; b = e + 17; v = k + 14; a = s + 14; o = i + 1; e = h + 7; t = d + 19; k = 17; r = k + 16. Given that k = 17, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"j": "f + 19", "x": "j + 7", "k": "x + 17", "h": "k + 8", "e": "h + 5", "v": "e + 9", "y": "f + 2", "l": "y + 18", "o": "l + 7", "a": "o + 19", "q": "a + 17", "z": "q + 1", "f": 3}, "premises": {"f": 3}, "target": "v"}, "answer": {"steps": [["e", "h + 5", "h + 14"], ["h", "k + 8", "k + 22"], ["k", "x + 17", "x + 39"], ["x", "j + 7", "j + 46"], ["j", "f + 19", "f + 65"], ["f", 3, "68"]], "target_var_name": "v", "target_value": 68, "value_dict": {"f": 3}, "is_reverse": true}}
| 4,639
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = f + 19; e = h + 5; q = a + 17; x = j + 7; h = k + 8; z = q + 1; l = y + 18; k = x + 17; a = o + 19; v = e + 9; o = l + 7; f = 3; y = f + 2. If f = 3, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = h + 5 to v, which gives v = h + 14.\n2. Substitute h = k + 8 to v, which gives v = k + 22.\n3. Substitute k = x + 17 to v, which gives v = x + 39.\n4. Substitute x = j + 7 to v, which gives v = j + 46.\n5. Substitute j = f + 19 to v, which gives v = f + 65.\n6. Substitute f = 3 to v, which gives v = 68.\n\nThus, the final answer is v = \\boxed{68}.",
"index": 4639,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = f + 19; e = h + 5; q = a + 17; x = j + 7; h = k + 8; z = q + 1; l = y + 18; k = x + 17; a = o + 19; v = e + 9; o = l + 7; f = 3; y = f + 2. If f = 3, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"e": "l + 2", "t": "e + 6", "b": "t + 11", "s": "b + 15", "p": "s + 11", "c": "p + 4", "v": "l + 1", "o": "v + 18", "d": "o + 17", "w": "d + 16", "g": "w + 12", "a": "g + 14", "l": 20}, "premises": {"l": 20}, "target": "c"}, "answer": {"steps": [["p", "s + 11", "s + 15"], ["s", "b + 15", "b + 30"], ["b", "t + 11", "t + 41"], ["t", "e + 6", "e + 47"], ["e", "l + 2", "l + 49"], ["l", 20, "69"]], "target_var_name": "c", "target_value": 69, "value_dict": {"l": 20}, "is_reverse": true}}
| 4,640
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = l + 2; l = 20; a = g + 14; t = e + 6; b = t + 11; g = w + 12; s = b + 15; p = s + 11; w = d + 16; v = l + 1; d = o + 17; o = v + 18; c = p + 4. Given that l = 20, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = s + 11 to c, which gives c = s + 15.\n2. Substitute s = b + 15 to c, which gives c = b + 30.\n3. Substitute b = t + 11 to c, which gives c = t + 41.\n4. Substitute t = e + 6 to c, which gives c = e + 47.\n5. Substitute e = l + 2 to c, which gives c = l + 49.\n6. Substitute l = 20 to c, which gives c = 69.\n\nThus, the final answer is c = \\boxed{69}.",
"index": 4640,
"question": "Suppose a collection of variables is related by the following definitions: e = l + 2; l = 20; a = g + 14; t = e + 6; b = t + 11; g = w + 12; s = b + 15; p = s + 11; w = d + 16; v = l + 1; d = o + 17; o = v + 18; c = p + 4. Given that l = 20, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"y": "v + 6", "l": "y + 9", "n": "l + 7", "p": "n + 3", "t": "p + 1", "z": "t + 10", "k": "v + 10", "b": "k + 10", "w": "b + 4", "c": "w + 16", "u": "c + 6", "i": "u + 20", "v": 9}, "premises": {"v": 9}, "target": "z"}, "answer": {"steps": [["t", "p + 1", "p + 11"], ["p", "n + 3", "n + 14"], ["n", "l + 7", "l + 21"], ["l", "y + 9", "y + 30"], ["y", "v + 6", "v + 36"], ["v", 9, "45"]], "target_var_name": "z", "target_value": 45, "value_dict": {"v": 9}, "is_reverse": true}}
| 4,641
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = t + 10; t = p + 1; l = y + 9; c = w + 16; v = 9; u = c + 6; b = k + 10; n = l + 7; i = u + 20; k = v + 10; w = b + 4; y = v + 6; p = n + 3. If v = 9, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 45,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = p + 1 to z, which gives z = p + 11.\n2. Substitute p = n + 3 to z, which gives z = n + 14.\n3. Substitute n = l + 7 to z, which gives z = l + 21.\n4. Substitute l = y + 9 to z, which gives z = y + 30.\n5. Substitute y = v + 6 to z, which gives z = v + 36.\n6. Substitute v = 9 to z, which gives z = 45.\n\nThus, the final answer is z = \\boxed{45}.",
"index": 4641,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = t + 10; t = p + 1; l = y + 9; c = w + 16; v = 9; u = c + 6; b = k + 10; n = l + 7; i = u + 20; k = v + 10; w = b + 4; y = v + 6; p = n + 3. If v = 9, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"s": "u + 8", "j": "s + 11", "d": "j + 8", "k": "d + 8", "f": "k + 11", "e": "f + 14", "t": "u + 5", "b": "t + 19", "w": "b + 1", "i": "w + 1", "l": "i + 3", "y": "l + 9", "u": 2}, "premises": {"u": 2}, "target": "e"}, "answer": {"steps": [["f", "k + 11", "k + 25"], ["k", "d + 8", "d + 33"], ["d", "j + 8", "j + 41"], ["j", "s + 11", "s + 52"], ["s", "u + 8", "u + 60"], ["u", 2, "62"]], "target_var_name": "e", "target_value": 62, "value_dict": {"u": 2}, "is_reverse": true}}
| 4,642
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = l + 9; f = k + 11; i = w + 1; k = d + 8; d = j + 8; b = t + 19; s = u + 8; j = s + 11; u = 2; l = i + 3; t = u + 5; w = b + 1; e = f + 14. If u = 2, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = k + 11 to e, which gives e = k + 25.\n2. Substitute k = d + 8 to e, which gives e = d + 33.\n3. Substitute d = j + 8 to e, which gives e = j + 41.\n4. Substitute j = s + 11 to e, which gives e = s + 52.\n5. Substitute s = u + 8 to e, which gives e = u + 60.\n6. Substitute u = 2 to e, which gives e = 62.\n\nThus, the final answer is e = \\boxed{62}.",
"index": 4642,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = l + 9; f = k + 11; i = w + 1; k = d + 8; d = j + 8; b = t + 19; s = u + 8; j = s + 11; u = 2; l = i + 3; t = u + 5; w = b + 1; e = f + 14. If u = 2, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"w": "l + 9", "j": "w + 12", "u": "j + 12", "f": "u + 17", "z": "f + 6", "p": "z + 7", "m": "l + 13", "n": "m + 1", "d": "n + 17", "e": "d + 16", "h": "e + 14", "a": "h + 13", "l": 14}, "premises": {"l": 14}, "target": "p"}, "answer": {"steps": [["z", "f + 6", "f + 13"], ["f", "u + 17", "u + 30"], ["u", "j + 12", "j + 42"], ["j", "w + 12", "w + 54"], ["w", "l + 9", "l + 63"], ["l", 14, "77"]], "target_var_name": "p", "target_value": 77, "value_dict": {"l": 14}, "is_reverse": true}}
| 4,643
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = z + 7; d = n + 17; w = l + 9; j = w + 12; z = f + 6; a = h + 13; u = j + 12; n = m + 1; e = d + 16; f = u + 17; l = 14; m = l + 13; h = e + 14. If l = 14, 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 z = f + 6 to p, which gives p = f + 13.\n2. Substitute f = u + 17 to p, which gives p = u + 30.\n3. Substitute u = j + 12 to p, which gives p = j + 42.\n4. Substitute j = w + 12 to p, which gives p = w + 54.\n5. Substitute w = l + 9 to p, which gives p = l + 63.\n6. Substitute l = 14 to p, which gives p = 77.\n\nThus, the final answer is p = \\boxed{77}.",
"index": 4643,
"question": "Consider a system of variables where each variable is defined as follows: p = z + 7; d = n + 17; w = l + 9; j = w + 12; z = f + 6; a = h + 13; u = j + 12; n = m + 1; e = d + 16; f = u + 17; l = 14; m = l + 13; h = e + 14. If l = 14, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"v": "q + 15", "h": "v + 5", "r": "h + 1", "o": "r + 3", "c": "o + 7", "d": "c + 5", "a": "q + 17", "w": "a + 13", "z": "w + 12", "k": "z + 12", "j": "k + 2", "t": "j + 17", "q": 15}, "premises": {"q": 15}, "target": "d"}, "answer": {"steps": [["c", "o + 7", "o + 12"], ["o", "r + 3", "r + 15"], ["r", "h + 1", "h + 16"], ["h", "v + 5", "v + 21"], ["v", "q + 15", "q + 36"], ["q", 15, "51"]], "target_var_name": "d", "target_value": 51, "value_dict": {"q": 15}, "is_reverse": true}}
| 4,644
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = o + 7; j = k + 2; v = q + 15; r = h + 1; w = a + 13; h = v + 5; d = c + 5; z = w + 12; o = r + 3; k = z + 12; t = j + 17; a = q + 17; q = 15. If q = 15, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = o + 7 to d, which gives d = o + 12.\n2. Substitute o = r + 3 to d, which gives d = r + 15.\n3. Substitute r = h + 1 to d, which gives d = h + 16.\n4. Substitute h = v + 5 to d, which gives d = v + 21.\n5. Substitute v = q + 15 to d, which gives d = q + 36.\n6. Substitute q = 15 to d, which gives d = 51.\n\nThus, the final answer is d = \\boxed{51}.",
"index": 4644,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = o + 7; j = k + 2; v = q + 15; r = h + 1; w = a + 13; h = v + 5; d = c + 5; z = w + 12; o = r + 3; k = z + 12; t = j + 17; a = q + 17; q = 15. If q = 15, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"j": "h + 2", "v": "j + 1", "x": "v + 11", "u": "x + 11", "f": "u + 20", "y": "f + 2", "b": "h + 16", "t": "b + 6", "w": "t + 7", "a": "w + 11", "i": "a + 19", "k": "i + 14", "h": 4}, "premises": {"h": 4}, "target": "y"}, "answer": {"steps": [["f", "u + 20", "u + 22"], ["u", "x + 11", "x + 33"], ["x", "v + 11", "v + 44"], ["v", "j + 1", "j + 45"], ["j", "h + 2", "h + 47"], ["h", 4, "51"]], "target_var_name": "y", "target_value": 51, "value_dict": {"h": 4}, "is_reverse": true}}
| 4,645
| 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; k = i + 14; u = x + 11; v = j + 1; w = t + 7; x = v + 11; h = 4; y = f + 2; b = h + 16; f = u + 20; t = b + 6; a = w + 11; i = a + 19. Given that h = 4, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = u + 20 to y, which gives y = u + 22.\n2. Substitute u = x + 11 to y, which gives y = x + 33.\n3. Substitute x = v + 11 to y, which gives y = v + 44.\n4. Substitute v = j + 1 to y, which gives y = j + 45.\n5. Substitute j = h + 2 to y, which gives y = h + 47.\n6. Substitute h = 4 to y, which gives y = 51.\n\nThus, the final answer is y = \\boxed{51}.",
"index": 4645,
"question": "Suppose a collection of variables is related by the following definitions: j = h + 2; k = i + 14; u = x + 11; v = j + 1; w = t + 7; x = v + 11; h = 4; y = f + 2; b = h + 16; f = u + 20; t = b + 6; a = w + 11; i = a + 19. Given that h = 4, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"p": "t + 16", "q": "p + 1", "m": "q + 7", "o": "m + 6", "i": "o + 11", "f": "i + 3", "a": "t + 1", "r": "a + 18", "l": "r + 19", "h": "l + 7", "k": "h + 16", "v": "k + 18", "t": 12}, "premises": {"t": 12}, "target": "f"}, "answer": {"steps": [["i", "o + 11", "o + 14"], ["o", "m + 6", "m + 20"], ["m", "q + 7", "q + 27"], ["q", "p + 1", "p + 28"], ["p", "t + 16", "t + 44"], ["t", 12, "56"]], "target_var_name": "f", "target_value": 56, "value_dict": {"t": 12}, "is_reverse": true}}
| 4,646
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = t + 16; h = l + 7; t = 12; v = k + 18; l = r + 19; a = t + 1; q = p + 1; k = h + 16; o = m + 6; f = i + 3; r = a + 18; i = o + 11; m = q + 7. Given that t = 12, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = o + 11 to f, which gives f = o + 14.\n2. Substitute o = m + 6 to f, which gives f = m + 20.\n3. Substitute m = q + 7 to f, which gives f = q + 27.\n4. Substitute q = p + 1 to f, which gives f = p + 28.\n5. Substitute p = t + 16 to f, which gives f = t + 44.\n6. Substitute t = 12 to f, which gives f = 56.\n\nThus, the final answer is f = \\boxed{56}.",
"index": 4646,
"question": "Suppose a collection of variables is related by the following definitions: p = t + 16; h = l + 7; t = 12; v = k + 18; l = r + 19; a = t + 1; q = p + 1; k = h + 16; o = m + 6; f = i + 3; r = a + 18; i = o + 11; m = q + 7. Given that t = 12, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"g": "o + 6", "w": "g + 3", "u": "w + 5", "i": "u + 14", "k": "i + 1", "b": "k + 10", "e": "o + 19", "r": "e + 8", "n": "r + 3", "a": "n + 13", "y": "a + 18", "c": "y + 13", "o": 7}, "premises": {"o": 7}, "target": "b"}, "answer": {"steps": [["k", "i + 1", "i + 11"], ["i", "u + 14", "u + 25"], ["u", "w + 5", "w + 30"], ["w", "g + 3", "g + 33"], ["g", "o + 6", "o + 39"], ["o", 7, "46"]], "target_var_name": "b", "target_value": 46, "value_dict": {"o": 7}, "is_reverse": true}}
| 4,647
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = r + 3; i = u + 14; o = 7; u = w + 5; a = n + 13; c = y + 13; g = o + 6; b = k + 10; k = i + 1; e = o + 19; r = e + 8; w = g + 3; y = a + 18. If o = 7, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 46,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = i + 1 to b, which gives b = i + 11.\n2. Substitute i = u + 14 to b, which gives b = u + 25.\n3. Substitute u = w + 5 to b, which gives b = w + 30.\n4. Substitute w = g + 3 to b, which gives b = g + 33.\n5. Substitute g = o + 6 to b, which gives b = o + 39.\n6. Substitute o = 7 to b, which gives b = 46.\n\nThus, the final answer is b = \\boxed{46}.",
"index": 4647,
"question": "Consider a system of variables where each variable is defined as follows: n = r + 3; i = u + 14; o = 7; u = w + 5; a = n + 13; c = y + 13; g = o + 6; b = k + 10; k = i + 1; e = o + 19; r = e + 8; w = g + 3; y = a + 18. If o = 7, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"c": "l + 9", "w": "c + 8", "j": "w + 19", "y": "j + 19", "b": "y + 14", "z": "b + 12", "p": "l + 8", "k": "p + 3", "a": "k + 10", "v": "a + 6", "t": "v + 12", "o": "t + 8", "l": 13}, "premises": {"l": 13}, "target": "z"}, "answer": {"steps": [["b", "y + 14", "y + 26"], ["y", "j + 19", "j + 45"], ["j", "w + 19", "w + 64"], ["w", "c + 8", "c + 72"], ["c", "l + 9", "l + 81"], ["l", 13, "94"]], "target_var_name": "z", "target_value": 94, "value_dict": {"l": 13}, "is_reverse": true}}
| 4,648
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = t + 8; p = l + 8; l = 13; z = b + 12; y = j + 19; w = c + 8; v = a + 6; a = k + 10; b = y + 14; t = v + 12; c = l + 9; j = w + 19; k = p + 3. If l = 13, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = y + 14 to z, which gives z = y + 26.\n2. Substitute y = j + 19 to z, which gives z = j + 45.\n3. Substitute j = w + 19 to z, which gives z = w + 64.\n4. Substitute w = c + 8 to z, which gives z = c + 72.\n5. Substitute c = l + 9 to z, which gives z = l + 81.\n6. Substitute l = 13 to z, which gives z = 94.\n\nThus, the final answer is z = \\boxed{94}.",
"index": 4648,
"question": "Consider a system of variables where each variable is defined as follows: o = t + 8; p = l + 8; l = 13; z = b + 12; y = j + 19; w = c + 8; v = a + 6; a = k + 10; b = y + 14; t = v + 12; c = l + 9; j = w + 19; k = p + 3. If l = 13, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"d": "u + 11", "p": "d + 14", "t": "p + 12", "i": "t + 5", "l": "i + 4", "e": "l + 20", "f": "u + 1", "x": "f + 3", "m": "x + 16", "g": "m + 20", "r": "g + 12", "s": "r + 3", "u": 1}, "premises": {"u": 1}, "target": "e"}, "answer": {"steps": [["l", "i + 4", "i + 24"], ["i", "t + 5", "t + 29"], ["t", "p + 12", "p + 41"], ["p", "d + 14", "d + 55"], ["d", "u + 11", "u + 66"], ["u", 1, "67"]], "target_var_name": "e", "target_value": 67, "value_dict": {"u": 1}, "is_reverse": true}}
| 4,649
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = i + 4; i = t + 5; r = g + 12; x = f + 3; e = l + 20; p = d + 14; t = p + 12; g = m + 20; m = x + 16; d = u + 11; u = 1; s = r + 3; f = u + 1. Given that u = 1, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = i + 4 to e, which gives e = i + 24.\n2. Substitute i = t + 5 to e, which gives e = t + 29.\n3. Substitute t = p + 12 to e, which gives e = p + 41.\n4. Substitute p = d + 14 to e, which gives e = d + 55.\n5. Substitute d = u + 11 to e, which gives e = u + 66.\n6. Substitute u = 1 to e, which gives e = 67.\n\nThus, the final answer is e = \\boxed{67}.",
"index": 4649,
"question": "Suppose a collection of variables is related by the following definitions: l = i + 4; i = t + 5; r = g + 12; x = f + 3; e = l + 20; p = d + 14; t = p + 12; g = m + 20; m = x + 16; d = u + 11; u = 1; s = r + 3; f = u + 1. Given that u = 1, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"q": "a + 16", "b": "q + 16", "g": "b + 11", "m": "g + 4", "k": "m + 7", "y": "k + 15", "x": "a + 20", "s": "x + 7", "v": "s + 2", "r": "v + 16", "h": "r + 4", "f": "h + 6", "a": 17}, "premises": {"a": 17}, "target": "y"}, "answer": {"steps": [["k", "m + 7", "m + 22"], ["m", "g + 4", "g + 26"], ["g", "b + 11", "b + 37"], ["b", "q + 16", "q + 53"], ["q", "a + 16", "a + 69"], ["a", 17, "86"]], "target_var_name": "y", "target_value": 86, "value_dict": {"a": 17}, "is_reverse": true}}
| 4,650
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = k + 15; q = a + 16; g = b + 11; v = s + 2; f = h + 6; m = g + 4; b = q + 16; r = v + 16; a = 17; h = r + 4; k = m + 7; s = x + 7; x = a + 20. Given that a = 17, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = m + 7 to y, which gives y = m + 22.\n2. Substitute m = g + 4 to y, which gives y = g + 26.\n3. Substitute g = b + 11 to y, which gives y = b + 37.\n4. Substitute b = q + 16 to y, which gives y = q + 53.\n5. Substitute q = a + 16 to y, which gives y = a + 69.\n6. Substitute a = 17 to y, which gives y = 86.\n\nThus, the final answer is y = \\boxed{86}.",
"index": 4650,
"question": "Suppose a collection of variables is related by the following definitions: y = k + 15; q = a + 16; g = b + 11; v = s + 2; f = h + 6; m = g + 4; b = q + 16; r = v + 16; a = 17; h = r + 4; k = m + 7; s = x + 7; x = a + 20. Given that a = 17, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"k": "l + 10", "i": "k + 10", "y": "i + 1", "f": "y + 7", "p": "f + 10", "j": "p + 1", "u": "l + 19", "o": "u + 18", "z": "o + 2", "n": "z + 18", "c": "n + 12", "h": "c + 6", "l": 17}, "premises": {"l": 17}, "target": "j"}, "answer": {"steps": [["p", "f + 10", "f + 11"], ["f", "y + 7", "y + 18"], ["y", "i + 1", "i + 19"], ["i", "k + 10", "k + 29"], ["k", "l + 10", "l + 39"], ["l", 17, "56"]], "target_var_name": "j", "target_value": 56, "value_dict": {"l": 17}, "is_reverse": true}}
| 4,651
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = k + 10; y = i + 1; k = l + 10; u = l + 19; c = n + 12; l = 17; p = f + 10; j = p + 1; n = z + 18; o = u + 18; f = y + 7; z = o + 2; h = c + 6. If l = 17, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = f + 10 to j, which gives j = f + 11.\n2. Substitute f = y + 7 to j, which gives j = y + 18.\n3. Substitute y = i + 1 to j, which gives j = i + 19.\n4. Substitute i = k + 10 to j, which gives j = k + 29.\n5. Substitute k = l + 10 to j, which gives j = l + 39.\n6. Substitute l = 17 to j, which gives j = 56.\n\nThus, the final answer is j = \\boxed{56}.",
"index": 4651,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = k + 10; y = i + 1; k = l + 10; u = l + 19; c = n + 12; l = 17; p = f + 10; j = p + 1; n = z + 18; o = u + 18; f = y + 7; z = o + 2; h = c + 6. If l = 17, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"t": "i + 12", "y": "t + 13", "b": "y + 5", "m": "b + 5", "v": "m + 4", "u": "v + 17", "p": "i + 6", "k": "p + 12", "h": "k + 10", "q": "h + 10", "w": "q + 6", "o": "w + 3", "i": 18}, "premises": {"i": 18}, "target": "u"}, "answer": {"steps": [["v", "m + 4", "m + 21"], ["m", "b + 5", "b + 26"], ["b", "y + 5", "y + 31"], ["y", "t + 13", "t + 44"], ["t", "i + 12", "i + 56"], ["i", 18, "74"]], "target_var_name": "u", "target_value": 74, "value_dict": {"i": 18}, "is_reverse": true}}
| 4,652
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = k + 10; v = m + 4; u = v + 17; k = p + 12; p = i + 6; b = y + 5; y = t + 13; o = w + 3; t = i + 12; q = h + 10; i = 18; m = b + 5; w = q + 6. If i = 18, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = m + 4 to u, which gives u = m + 21.\n2. Substitute m = b + 5 to u, which gives u = b + 26.\n3. Substitute b = y + 5 to u, which gives u = y + 31.\n4. Substitute y = t + 13 to u, which gives u = t + 44.\n5. Substitute t = i + 12 to u, which gives u = i + 56.\n6. Substitute i = 18 to u, which gives u = 74.\n\nThus, the final answer is u = \\boxed{74}.",
"index": 4652,
"question": "Consider a system of variables where each variable is defined as follows: h = k + 10; v = m + 4; u = v + 17; k = p + 12; p = i + 6; b = y + 5; y = t + 13; o = w + 3; t = i + 12; q = h + 10; i = 18; m = b + 5; w = q + 6. If i = 18, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"j": "o + 3", "q": "j + 7", "s": "q + 12", "i": "s + 1", "m": "i + 1", "t": "m + 1", "l": "o + 11", "u": "l + 8", "d": "u + 18", "b": "d + 20", "g": "b + 6", "w": "g + 17", "o": 20}, "premises": {"o": 20}, "target": "t"}, "answer": {"steps": [["m", "i + 1", "i + 2"], ["i", "s + 1", "s + 3"], ["s", "q + 12", "q + 15"], ["q", "j + 7", "j + 22"], ["j", "o + 3", "o + 25"], ["o", 20, "45"]], "target_var_name": "t", "target_value": 45, "value_dict": {"o": 20}, "is_reverse": true}}
| 4,653
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = s + 1; m = i + 1; o = 20; g = b + 6; b = d + 20; l = o + 11; d = u + 18; j = o + 3; q = j + 7; s = q + 12; t = m + 1; u = l + 8; w = g + 17. Given that o = 20, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 45,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = i + 1 to t, which gives t = i + 2.\n2. Substitute i = s + 1 to t, which gives t = s + 3.\n3. Substitute s = q + 12 to t, which gives t = q + 15.\n4. Substitute q = j + 7 to t, which gives t = j + 22.\n5. Substitute j = o + 3 to t, which gives t = o + 25.\n6. Substitute o = 20 to t, which gives t = 45.\n\nThus, the final answer is t = \\boxed{45}.",
"index": 4653,
"question": "Suppose a collection of variables is related by the following definitions: i = s + 1; m = i + 1; o = 20; g = b + 6; b = d + 20; l = o + 11; d = u + 18; j = o + 3; q = j + 7; s = q + 12; t = m + 1; u = l + 8; w = g + 17. Given that o = 20, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"z": "e + 12", "t": "z + 3", "v": "t + 8", "s": "v + 5", "d": "s + 4", "a": "d + 14", "k": "e + 11", "j": "k + 18", "f": "j + 11", "m": "f + 17", "p": "m + 20", "h": "p + 1", "e": 12}, "premises": {"e": 12}, "target": "a"}, "answer": {"steps": [["d", "s + 4", "s + 18"], ["s", "v + 5", "v + 23"], ["v", "t + 8", "t + 31"], ["t", "z + 3", "z + 34"], ["z", "e + 12", "e + 46"], ["e", 12, "58"]], "target_var_name": "a", "target_value": 58, "value_dict": {"e": 12}, "is_reverse": true}}
| 4,654
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = e + 11; h = p + 1; z = e + 12; a = d + 14; m = f + 17; v = t + 8; e = 12; s = v + 5; j = k + 18; t = z + 3; p = m + 20; f = j + 11; d = s + 4. If e = 12, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = s + 4 to a, which gives a = s + 18.\n2. Substitute s = v + 5 to a, which gives a = v + 23.\n3. Substitute v = t + 8 to a, which gives a = t + 31.\n4. Substitute t = z + 3 to a, which gives a = z + 34.\n5. Substitute z = e + 12 to a, which gives a = e + 46.\n6. Substitute e = 12 to a, which gives a = 58.\n\nThus, the final answer is a = \\boxed{58}.",
"index": 4654,
"question": "Consider a system of variables where each variable is defined as follows: k = e + 11; h = p + 1; z = e + 12; a = d + 14; m = f + 17; v = t + 8; e = 12; s = v + 5; j = k + 18; t = z + 3; p = m + 20; f = j + 11; d = s + 4. If e = 12, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"v": "a + 1", "z": "v + 15", "f": "z + 9", "m": "f + 17", "b": "m + 19", "e": "b + 4", "o": "a + 11", "r": "o + 5", "p": "r + 11", "k": "p + 13", "j": "k + 15", "q": "j + 17", "a": 8}, "premises": {"a": 8}, "target": "e"}, "answer": {"steps": [["b", "m + 19", "m + 23"], ["m", "f + 17", "f + 40"], ["f", "z + 9", "z + 49"], ["z", "v + 15", "v + 64"], ["v", "a + 1", "a + 65"], ["a", 8, "73"]], "target_var_name": "e", "target_value": 73, "value_dict": {"a": 8}, "is_reverse": true}}
| 4,655
| 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 = k + 15; e = b + 4; v = a + 1; k = p + 13; o = a + 11; p = r + 11; a = 8; z = v + 15; b = m + 19; m = f + 17; f = z + 9; r = o + 5; q = j + 17. If a = 8, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = m + 19 to e, which gives e = m + 23.\n2. Substitute m = f + 17 to e, which gives e = f + 40.\n3. Substitute f = z + 9 to e, which gives e = z + 49.\n4. Substitute z = v + 15 to e, which gives e = v + 64.\n5. Substitute v = a + 1 to e, which gives e = a + 65.\n6. Substitute a = 8 to e, which gives e = 73.\n\nThus, the final answer is e = \\boxed{73}.",
"index": 4655,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = k + 15; e = b + 4; v = a + 1; k = p + 13; o = a + 11; p = r + 11; a = 8; z = v + 15; b = m + 19; m = f + 17; f = z + 9; r = o + 5; q = j + 17. If a = 8, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"r": "o + 13", "i": "r + 4", "j": "i + 19", "e": "j + 7", "d": "e + 11", "k": "d + 17", "m": "o + 15", "c": "m + 6", "n": "c + 20", "v": "n + 19", "a": "v + 4", "q": "a + 11", "o": 20}, "premises": {"o": 20}, "target": "k"}, "answer": {"steps": [["d", "e + 11", "e + 28"], ["e", "j + 7", "j + 35"], ["j", "i + 19", "i + 54"], ["i", "r + 4", "r + 58"], ["r", "o + 13", "o + 71"], ["o", 20, "91"]], "target_var_name": "k", "target_value": 91, "value_dict": {"o": 20}, "is_reverse": true}}
| 4,656
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = o + 15; k = d + 17; v = n + 19; d = e + 11; q = a + 11; o = 20; r = o + 13; a = v + 4; e = j + 7; n = c + 20; i = r + 4; c = m + 6; j = i + 19. If o = 20, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = e + 11 to k, which gives k = e + 28.\n2. Substitute e = j + 7 to k, which gives k = j + 35.\n3. Substitute j = i + 19 to k, which gives k = i + 54.\n4. Substitute i = r + 4 to k, which gives k = r + 58.\n5. Substitute r = o + 13 to k, which gives k = o + 71.\n6. Substitute o = 20 to k, which gives k = 91.\n\nThus, the final answer is k = \\boxed{91}.",
"index": 4656,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = o + 15; k = d + 17; v = n + 19; d = e + 11; q = a + 11; o = 20; r = o + 13; a = v + 4; e = j + 7; n = c + 20; i = r + 4; c = m + 6; j = i + 19. If o = 20, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"j": "s + 16", "a": "j + 7", "p": "a + 18", "e": "p + 9", "t": "e + 20", "q": "t + 7", "i": "s + 19", "f": "i + 4", "c": "f + 20", "v": "c + 17", "m": "v + 1", "o": "m + 12", "s": 9}, "premises": {"s": 9}, "target": "q"}, "answer": {"steps": [["t", "e + 20", "e + 27"], ["e", "p + 9", "p + 36"], ["p", "a + 18", "a + 54"], ["a", "j + 7", "j + 61"], ["j", "s + 16", "s + 77"], ["s", 9, "86"]], "target_var_name": "q", "target_value": 86, "value_dict": {"s": 9}, "is_reverse": true}}
| 4,657
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = f + 20; t = e + 20; q = t + 7; i = s + 19; e = p + 9; a = j + 7; o = m + 12; s = 9; j = s + 16; f = i + 4; p = a + 18; m = v + 1; v = c + 17. If s = 9, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = e + 20 to q, which gives q = e + 27.\n2. Substitute e = p + 9 to q, which gives q = p + 36.\n3. Substitute p = a + 18 to q, which gives q = a + 54.\n4. Substitute a = j + 7 to q, which gives q = j + 61.\n5. Substitute j = s + 16 to q, which gives q = s + 77.\n6. Substitute s = 9 to q, which gives q = 86.\n\nThus, the final answer is q = \\boxed{86}.",
"index": 4657,
"question": "Consider a system of variables where each variable is defined as follows: c = f + 20; t = e + 20; q = t + 7; i = s + 19; e = p + 9; a = j + 7; o = m + 12; s = 9; j = s + 16; f = i + 4; p = a + 18; m = v + 1; v = c + 17. If s = 9, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"k": "l + 14", "a": "k + 8", "x": "a + 12", "p": "x + 12", "q": "p + 13", "w": "q + 6", "n": "l + 10", "y": "n + 20", "v": "y + 6", "t": "v + 9", "u": "t + 7", "z": "u + 16", "l": 18}, "premises": {"l": 18}, "target": "w"}, "answer": {"steps": [["q", "p + 13", "p + 19"], ["p", "x + 12", "x + 31"], ["x", "a + 12", "a + 43"], ["a", "k + 8", "k + 51"], ["k", "l + 14", "l + 65"], ["l", 18, "83"]], "target_var_name": "w", "target_value": 83, "value_dict": {"l": 18}, "is_reverse": true}}
| 4,658
| 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 + 8; l = 18; k = l + 14; n = l + 10; w = q + 6; z = u + 16; x = a + 12; u = t + 7; y = n + 20; v = y + 6; q = p + 13; p = x + 12; t = v + 9. If l = 18, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = p + 13 to w, which gives w = p + 19.\n2. Substitute p = x + 12 to w, which gives w = x + 31.\n3. Substitute x = a + 12 to w, which gives w = a + 43.\n4. Substitute a = k + 8 to w, which gives w = k + 51.\n5. Substitute k = l + 14 to w, which gives w = l + 65.\n6. Substitute l = 18 to w, which gives w = 83.\n\nThus, the final answer is w = \\boxed{83}.",
"index": 4658,
"question": "Consider a system of variables where each variable is defined as follows: a = k + 8; l = 18; k = l + 14; n = l + 10; w = q + 6; z = u + 16; x = a + 12; u = t + 7; y = n + 20; v = y + 6; q = p + 13; p = x + 12; t = v + 9. If l = 18, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"m": "n + 5", "i": "m + 2", "v": "i + 15", "q": "v + 19", "f": "q + 10", "h": "f + 19", "r": "n + 2", "b": "r + 18", "o": "b + 6", "y": "o + 12", "a": "y + 16", "u": "a + 14", "n": 10}, "premises": {"n": 10}, "target": "h"}, "answer": {"steps": [["f", "q + 10", "q + 29"], ["q", "v + 19", "v + 48"], ["v", "i + 15", "i + 63"], ["i", "m + 2", "m + 65"], ["m", "n + 5", "n + 70"], ["n", 10, "80"]], "target_var_name": "h", "target_value": 80, "value_dict": {"n": 10}, "is_reverse": true}}
| 4,659
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = f + 19; v = i + 15; a = y + 16; q = v + 19; n = 10; r = n + 2; y = o + 12; m = n + 5; b = r + 18; u = a + 14; i = m + 2; o = b + 6; f = q + 10. If n = 10, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = q + 10 to h, which gives h = q + 29.\n2. Substitute q = v + 19 to h, which gives h = v + 48.\n3. Substitute v = i + 15 to h, which gives h = i + 63.\n4. Substitute i = m + 2 to h, which gives h = m + 65.\n5. Substitute m = n + 5 to h, which gives h = n + 70.\n6. Substitute n = 10 to h, which gives h = 80.\n\nThus, the final answer is h = \\boxed{80}.",
"index": 4659,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = f + 19; v = i + 15; a = y + 16; q = v + 19; n = 10; r = n + 2; y = o + 12; m = n + 5; b = r + 18; u = a + 14; i = m + 2; o = b + 6; f = q + 10. If n = 10, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"n": "y + 19", "x": "n + 11", "e": "x + 8", "o": "e + 3", "h": "o + 11", "a": "h + 18", "f": "y + 14", "d": "f + 11", "i": "d + 15", "t": "i + 20", "s": "t + 14", "m": "s + 7", "y": 18}, "premises": {"y": 18}, "target": "a"}, "answer": {"steps": [["h", "o + 11", "o + 29"], ["o", "e + 3", "e + 32"], ["e", "x + 8", "x + 40"], ["x", "n + 11", "n + 51"], ["n", "y + 19", "y + 70"], ["y", 18, "88"]], "target_var_name": "a", "target_value": 88, "value_dict": {"y": 18}, "is_reverse": true}}
| 4,660
| 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 = t + 14; o = e + 3; d = f + 11; i = d + 15; x = n + 11; y = 18; n = y + 19; h = o + 11; m = s + 7; a = h + 18; e = x + 8; t = i + 20; f = y + 14. If y = 18, what is the resulting 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 h = o + 11 to a, which gives a = o + 29.\n2. Substitute o = e + 3 to a, which gives a = e + 32.\n3. Substitute e = x + 8 to a, which gives a = x + 40.\n4. Substitute x = n + 11 to a, which gives a = n + 51.\n5. Substitute n = y + 19 to a, which gives a = y + 70.\n6. Substitute y = 18 to a, which gives a = 88.\n\nThus, the final answer is a = \\boxed{88}.",
"index": 4660,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = t + 14; o = e + 3; d = f + 11; i = d + 15; x = n + 11; y = 18; n = y + 19; h = o + 11; m = s + 7; a = h + 18; e = x + 8; t = i + 20; f = y + 14. If y = 18, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"a": "z + 20", "y": "a + 9", "o": "y + 8", "j": "o + 4", "s": "j + 8", "n": "s + 7", "b": "z + 13", "e": "b + 10", "t": "e + 9", "v": "t + 11", "h": "v + 14", "i": "h + 4", "z": 1}, "premises": {"z": 1}, "target": "n"}, "answer": {"steps": [["s", "j + 8", "j + 15"], ["j", "o + 4", "o + 19"], ["o", "y + 8", "y + 27"], ["y", "a + 9", "a + 36"], ["a", "z + 20", "z + 56"], ["z", 1, "57"]], "target_var_name": "n", "target_value": 57, "value_dict": {"z": 1}, "is_reverse": true}}
| 4,661
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = v + 14; b = z + 13; s = j + 8; y = a + 9; j = o + 4; n = s + 7; v = t + 11; z = 1; t = e + 9; o = y + 8; i = h + 4; e = b + 10; a = z + 20. If z = 1, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = j + 8 to n, which gives n = j + 15.\n2. Substitute j = o + 4 to n, which gives n = o + 19.\n3. Substitute o = y + 8 to n, which gives n = y + 27.\n4. Substitute y = a + 9 to n, which gives n = a + 36.\n5. Substitute a = z + 20 to n, which gives n = z + 56.\n6. Substitute z = 1 to n, which gives n = 57.\n\nThus, the final answer is n = \\boxed{57}.",
"index": 4661,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = v + 14; b = z + 13; s = j + 8; y = a + 9; j = o + 4; n = s + 7; v = t + 11; z = 1; t = e + 9; o = y + 8; i = h + 4; e = b + 10; a = z + 20. If z = 1, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"i": "n + 12", "q": "i + 16", "j": "q + 4", "o": "j + 12", "u": "o + 14", "h": "u + 17", "l": "n + 5", "p": "l + 11", "v": "p + 11", "f": "v + 6", "b": "f + 8", "m": "b + 16", "n": 10}, "premises": {"n": 10}, "target": "h"}, "answer": {"steps": [["u", "o + 14", "o + 31"], ["o", "j + 12", "j + 43"], ["j", "q + 4", "q + 47"], ["q", "i + 16", "i + 63"], ["i", "n + 12", "n + 75"], ["n", 10, "85"]], "target_var_name": "h", "target_value": 85, "value_dict": {"n": 10}, "is_reverse": true}}
| 4,662
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = i + 16; h = u + 17; o = j + 12; n = 10; b = f + 8; i = n + 12; l = n + 5; p = l + 11; f = v + 6; v = p + 11; m = b + 16; u = o + 14; j = q + 4. If n = 10, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = o + 14 to h, which gives h = o + 31.\n2. Substitute o = j + 12 to h, which gives h = j + 43.\n3. Substitute j = q + 4 to h, which gives h = q + 47.\n4. Substitute q = i + 16 to h, which gives h = i + 63.\n5. Substitute i = n + 12 to h, which gives h = n + 75.\n6. Substitute n = 10 to h, which gives h = 85.\n\nThus, the final answer is h = \\boxed{85}.",
"index": 4662,
"question": "Consider a system of variables where each variable is defined as follows: q = i + 16; h = u + 17; o = j + 12; n = 10; b = f + 8; i = n + 12; l = n + 5; p = l + 11; f = v + 6; v = p + 11; m = b + 16; u = o + 14; j = q + 4. If n = 10, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"d": "o + 10", "h": "d + 7", "v": "h + 20", "c": "v + 9", "w": "c + 9", "e": "w + 18", "j": "o + 6", "r": "j + 19", "a": "r + 2", "g": "a + 16", "m": "g + 12", "x": "m + 19", "o": 18}, "premises": {"o": 18}, "target": "e"}, "answer": {"steps": [["w", "c + 9", "c + 27"], ["c", "v + 9", "v + 36"], ["v", "h + 20", "h + 56"], ["h", "d + 7", "d + 63"], ["d", "o + 10", "o + 73"], ["o", 18, "91"]], "target_var_name": "e", "target_value": 91, "value_dict": {"o": 18}, "is_reverse": true}}
| 4,663
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = 18; e = w + 18; r = j + 19; j = o + 6; m = g + 12; w = c + 9; v = h + 20; x = m + 19; d = o + 10; h = d + 7; g = a + 16; c = v + 9; a = r + 2. If o = 18, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = c + 9 to e, which gives e = c + 27.\n2. Substitute c = v + 9 to e, which gives e = v + 36.\n3. Substitute v = h + 20 to e, which gives e = h + 56.\n4. Substitute h = d + 7 to e, which gives e = d + 63.\n5. Substitute d = o + 10 to e, which gives e = o + 73.\n6. Substitute o = 18 to e, which gives e = 91.\n\nThus, the final answer is e = \\boxed{91}.",
"index": 4663,
"question": "Consider a system of variables where each variable is defined as follows: o = 18; e = w + 18; r = j + 19; j = o + 6; m = g + 12; w = c + 9; v = h + 20; x = m + 19; d = o + 10; h = d + 7; g = a + 16; c = v + 9; a = r + 2. If o = 18, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"i": "p + 18", "e": "i + 16", "x": "e + 10", "h": "x + 18", "t": "h + 18", "n": "t + 3", "u": "p + 13", "y": "u + 4", "f": "y + 15", "v": "f + 9", "k": "v + 10", "s": "k + 3", "p": 11}, "premises": {"p": 11}, "target": "n"}, "answer": {"steps": [["t", "h + 18", "h + 21"], ["h", "x + 18", "x + 39"], ["x", "e + 10", "e + 49"], ["e", "i + 16", "i + 65"], ["i", "p + 18", "p + 83"], ["p", 11, "94"]], "target_var_name": "n", "target_value": 94, "value_dict": {"p": 11}, "is_reverse": true}}
| 4,664
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = v + 10; i = p + 18; y = u + 4; v = f + 9; u = p + 13; h = x + 18; t = h + 18; e = i + 16; s = k + 3; p = 11; n = t + 3; x = e + 10; f = y + 15. If p = 11, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = h + 18 to n, which gives n = h + 21.\n2. Substitute h = x + 18 to n, which gives n = x + 39.\n3. Substitute x = e + 10 to n, which gives n = e + 49.\n4. Substitute e = i + 16 to n, which gives n = i + 65.\n5. Substitute i = p + 18 to n, which gives n = p + 83.\n6. Substitute p = 11 to n, which gives n = 94.\n\nThus, the final answer is n = \\boxed{94}.",
"index": 4664,
"question": "Consider a system of variables where each variable is defined as follows: k = v + 10; i = p + 18; y = u + 4; v = f + 9; u = p + 13; h = x + 18; t = h + 18; e = i + 16; s = k + 3; p = 11; n = t + 3; x = e + 10; f = y + 15. If p = 11, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"q": "e + 17", "z": "q + 9", "t": "z + 10", "n": "t + 3", "s": "n + 10", "o": "s + 19", "d": "e + 9", "h": "d + 7", "v": "h + 2", "g": "v + 10", "b": "g + 7", "r": "b + 13", "e": 1}, "premises": {"e": 1}, "target": "o"}, "answer": {"steps": [["s", "n + 10", "n + 29"], ["n", "t + 3", "t + 32"], ["t", "z + 10", "z + 42"], ["z", "q + 9", "q + 51"], ["q", "e + 17", "e + 68"], ["e", 1, "69"]], "target_var_name": "o", "target_value": 69, "value_dict": {"e": 1}, "is_reverse": true}}
| 4,665
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = z + 10; q = e + 17; e = 1; h = d + 7; r = b + 13; s = n + 10; d = e + 9; n = t + 3; z = q + 9; o = s + 19; g = v + 10; v = h + 2; b = g + 7. If e = 1, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = n + 10 to o, which gives o = n + 29.\n2. Substitute n = t + 3 to o, which gives o = t + 32.\n3. Substitute t = z + 10 to o, which gives o = z + 42.\n4. Substitute z = q + 9 to o, which gives o = q + 51.\n5. Substitute q = e + 17 to o, which gives o = e + 68.\n6. Substitute e = 1 to o, which gives o = 69.\n\nThus, the final answer is o = \\boxed{69}.",
"index": 4665,
"question": "Consider a system of variables where each variable is defined as follows: t = z + 10; q = e + 17; e = 1; h = d + 7; r = b + 13; s = n + 10; d = e + 9; n = t + 3; z = q + 9; o = s + 19; g = v + 10; v = h + 2; b = g + 7. If e = 1, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"n": "c + 14", "g": "n + 1", "l": "g + 2", "p": "l + 11", "j": "p + 3", "h": "j + 11", "f": "c + 8", "x": "f + 14", "d": "x + 4", "s": "d + 19", "o": "s + 2", "w": "o + 6", "c": 2}, "premises": {"c": 2}, "target": "h"}, "answer": {"steps": [["j", "p + 3", "p + 14"], ["p", "l + 11", "l + 25"], ["l", "g + 2", "g + 27"], ["g", "n + 1", "n + 28"], ["n", "c + 14", "c + 42"], ["c", 2, "44"]], "target_var_name": "h", "target_value": 44, "value_dict": {"c": 2}, "is_reverse": true}}
| 4,666
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = o + 6; l = g + 2; p = l + 11; d = x + 4; g = n + 1; h = j + 11; x = f + 14; f = c + 8; o = s + 2; n = c + 14; s = d + 19; j = p + 3; c = 2. If c = 2, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 44,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = p + 3 to h, which gives h = p + 14.\n2. Substitute p = l + 11 to h, which gives h = l + 25.\n3. Substitute l = g + 2 to h, which gives h = g + 27.\n4. Substitute g = n + 1 to h, which gives h = n + 28.\n5. Substitute n = c + 14 to h, which gives h = c + 42.\n6. Substitute c = 2 to h, which gives h = 44.\n\nThus, the final answer is h = \\boxed{44}.",
"index": 4666,
"question": "Consider a system of variables where each variable is defined as follows: w = o + 6; l = g + 2; p = l + 11; d = x + 4; g = n + 1; h = j + 11; x = f + 14; f = c + 8; o = s + 2; n = c + 14; s = d + 19; j = p + 3; c = 2. If c = 2, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"w": "l + 8", "g": "w + 6", "k": "g + 16", "x": "k + 12", "n": "x + 4", "u": "n + 19", "a": "l + 8", "b": "a + 11", "t": "b + 2", "z": "t + 20", "o": "z + 1", "f": "o + 9", "l": 2}, "premises": {"l": 2}, "target": "u"}, "answer": {"steps": [["n", "x + 4", "x + 23"], ["x", "k + 12", "k + 35"], ["k", "g + 16", "g + 51"], ["g", "w + 6", "w + 57"], ["w", "l + 8", "l + 65"], ["l", 2, "67"]], "target_var_name": "u", "target_value": 67, "value_dict": {"l": 2}, "is_reverse": true}}
| 4,667
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = 2; x = k + 12; z = t + 20; w = l + 8; o = z + 1; n = x + 4; k = g + 16; u = n + 19; a = l + 8; g = w + 6; t = b + 2; f = o + 9; b = a + 11. If l = 2, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = x + 4 to u, which gives u = x + 23.\n2. Substitute x = k + 12 to u, which gives u = k + 35.\n3. Substitute k = g + 16 to u, which gives u = g + 51.\n4. Substitute g = w + 6 to u, which gives u = w + 57.\n5. Substitute w = l + 8 to u, which gives u = l + 65.\n6. Substitute l = 2 to u, which gives u = 67.\n\nThus, the final answer is u = \\boxed{67}.",
"index": 4667,
"question": "Consider a system of variables where each variable is defined as follows: l = 2; x = k + 12; z = t + 20; w = l + 8; o = z + 1; n = x + 4; k = g + 16; u = n + 19; a = l + 8; g = w + 6; t = b + 2; f = o + 9; b = a + 11. If l = 2, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"o": "x + 5", "h": "o + 20", "y": "h + 10", "m": "y + 10", "p": "m + 12", "g": "p + 11", "q": "x + 16", "z": "q + 12", "c": "z + 20", "i": "c + 7", "l": "i + 5", "w": "l + 1", "x": 5}, "premises": {"x": 5}, "target": "g"}, "answer": {"steps": [["p", "m + 12", "m + 23"], ["m", "y + 10", "y + 33"], ["y", "h + 10", "h + 43"], ["h", "o + 20", "o + 63"], ["o", "x + 5", "x + 68"], ["x", 5, "73"]], "target_var_name": "g", "target_value": 73, "value_dict": {"x": 5}, "is_reverse": true}}
| 4,668
| 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 = c + 7; p = m + 12; o = x + 5; m = y + 10; h = o + 20; g = p + 11; q = x + 16; y = h + 10; w = l + 1; z = q + 12; l = i + 5; x = 5; c = z + 20. If x = 5, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = m + 12 to g, which gives g = m + 23.\n2. Substitute m = y + 10 to g, which gives g = y + 33.\n3. Substitute y = h + 10 to g, which gives g = h + 43.\n4. Substitute h = o + 20 to g, which gives g = o + 63.\n5. Substitute o = x + 5 to g, which gives g = x + 68.\n6. Substitute x = 5 to g, which gives g = 73.\n\nThus, the final answer is g = \\boxed{73}.",
"index": 4668,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = c + 7; p = m + 12; o = x + 5; m = y + 10; h = o + 20; g = p + 11; q = x + 16; y = h + 10; w = l + 1; z = q + 12; l = i + 5; x = 5; c = z + 20. If x = 5, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"z": "i + 4", "h": "z + 2", "d": "h + 7", "o": "d + 11", "a": "o + 16", "l": "a + 8", "f": "i + 7", "u": "f + 17", "e": "u + 4", "m": "e + 10", "q": "m + 1", "x": "q + 9", "i": 11}, "premises": {"i": 11}, "target": "l"}, "answer": {"steps": [["a", "o + 16", "o + 24"], ["o", "d + 11", "d + 35"], ["d", "h + 7", "h + 42"], ["h", "z + 2", "z + 44"], ["z", "i + 4", "i + 48"], ["i", 11, "59"]], "target_var_name": "l", "target_value": 59, "value_dict": {"i": 11}, "is_reverse": true}}
| 4,669
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = i + 4; f = i + 7; a = o + 16; u = f + 17; h = z + 2; m = e + 10; q = m + 1; l = a + 8; e = u + 4; x = q + 9; o = d + 11; d = h + 7; i = 11. If i = 11, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = o + 16 to l, which gives l = o + 24.\n2. Substitute o = d + 11 to l, which gives l = d + 35.\n3. Substitute d = h + 7 to l, which gives l = h + 42.\n4. Substitute h = z + 2 to l, which gives l = z + 44.\n5. Substitute z = i + 4 to l, which gives l = i + 48.\n6. Substitute i = 11 to l, which gives l = 59.\n\nThus, the final answer is l = \\boxed{59}.",
"index": 4669,
"question": "Consider a system of variables where each variable is defined as follows: z = i + 4; f = i + 7; a = o + 16; u = f + 17; h = z + 2; m = e + 10; q = m + 1; l = a + 8; e = u + 4; x = q + 9; o = d + 11; d = h + 7; i = 11. If i = 11, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"w": "u + 17", "g": "w + 4", "s": "g + 1", "x": "s + 19", "b": "x + 3", "i": "b + 4", "j": "u + 19", "n": "j + 8", "r": "n + 4", "o": "r + 4", "c": "o + 10", "k": "c + 19", "u": 9}, "premises": {"u": 9}, "target": "i"}, "answer": {"steps": [["b", "x + 3", "x + 7"], ["x", "s + 19", "s + 26"], ["s", "g + 1", "g + 27"], ["g", "w + 4", "w + 31"], ["w", "u + 17", "u + 48"], ["u", 9, "57"]], "target_var_name": "i", "target_value": 57, "value_dict": {"u": 9}, "is_reverse": true}}
| 4,670
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = r + 4; x = s + 19; k = c + 19; b = x + 3; i = b + 4; u = 9; r = n + 4; s = g + 1; w = u + 17; n = j + 8; j = u + 19; c = o + 10; g = w + 4. Given that u = 9, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = x + 3 to i, which gives i = x + 7.\n2. Substitute x = s + 19 to i, which gives i = s + 26.\n3. Substitute s = g + 1 to i, which gives i = g + 27.\n4. Substitute g = w + 4 to i, which gives i = w + 31.\n5. Substitute w = u + 17 to i, which gives i = u + 48.\n6. Substitute u = 9 to i, which gives i = 57.\n\nThus, the final answer is i = \\boxed{57}.",
"index": 4670,
"question": "Suppose a collection of variables is related by the following definitions: o = r + 4; x = s + 19; k = c + 19; b = x + 3; i = b + 4; u = 9; r = n + 4; s = g + 1; w = u + 17; n = j + 8; j = u + 19; c = o + 10; g = w + 4. Given that u = 9, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"b": "l + 1", "p": "b + 4", "a": "p + 10", "k": "a + 4", "s": "k + 4", "w": "s + 2", "f": "l + 17", "z": "f + 12", "u": "z + 14", "t": "u + 7", "m": "t + 10", "x": "m + 11", "l": 17}, "premises": {"l": 17}, "target": "w"}, "answer": {"steps": [["s", "k + 4", "k + 6"], ["k", "a + 4", "a + 10"], ["a", "p + 10", "p + 20"], ["p", "b + 4", "b + 24"], ["b", "l + 1", "l + 25"], ["l", 17, "42"]], "target_var_name": "w", "target_value": 42, "value_dict": {"l": 17}, "is_reverse": true}}
| 4,671
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = s + 2; t = u + 7; z = f + 12; k = a + 4; p = b + 4; u = z + 14; x = m + 11; b = l + 1; f = l + 17; m = t + 10; l = 17; a = p + 10; s = k + 4. Given that l = 17, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 42,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = k + 4 to w, which gives w = k + 6.\n2. Substitute k = a + 4 to w, which gives w = a + 10.\n3. Substitute a = p + 10 to w, which gives w = p + 20.\n4. Substitute p = b + 4 to w, which gives w = b + 24.\n5. Substitute b = l + 1 to w, which gives w = l + 25.\n6. Substitute l = 17 to w, which gives w = 42.\n\nThus, the final answer is w = \\boxed{42}.",
"index": 4671,
"question": "Suppose a collection of variables is related by the following definitions: w = s + 2; t = u + 7; z = f + 12; k = a + 4; p = b + 4; u = z + 14; x = m + 11; b = l + 1; f = l + 17; m = t + 10; l = 17; a = p + 10; s = k + 4. Given that l = 17, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"j": "s + 13", "t": "j + 19", "e": "t + 14", "f": "e + 4", "x": "f + 5", "k": "x + 6", "h": "s + 3", "d": "h + 15", "y": "d + 19", "l": "y + 8", "u": "l + 5", "i": "u + 5", "s": 16}, "premises": {"s": 16}, "target": "k"}, "answer": {"steps": [["x", "f + 5", "f + 11"], ["f", "e + 4", "e + 15"], ["e", "t + 14", "t + 29"], ["t", "j + 19", "j + 48"], ["j", "s + 13", "s + 61"], ["s", 16, "77"]], "target_var_name": "k", "target_value": 77, "value_dict": {"s": 16}, "is_reverse": true}}
| 4,672
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = f + 5; l = y + 8; h = s + 3; i = u + 5; j = s + 13; s = 16; f = e + 4; d = h + 15; k = x + 6; y = d + 19; u = l + 5; e = t + 14; t = j + 19. If s = 16, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = f + 5 to k, which gives k = f + 11.\n2. Substitute f = e + 4 to k, which gives k = e + 15.\n3. Substitute e = t + 14 to k, which gives k = t + 29.\n4. Substitute t = j + 19 to k, which gives k = j + 48.\n5. Substitute j = s + 13 to k, which gives k = s + 61.\n6. Substitute s = 16 to k, which gives k = 77.\n\nThus, the final answer is k = \\boxed{77}.",
"index": 4672,
"question": "Consider a system of variables where each variable is defined as follows: x = f + 5; l = y + 8; h = s + 3; i = u + 5; j = s + 13; s = 16; f = e + 4; d = h + 15; k = x + 6; y = d + 19; u = l + 5; e = t + 14; t = j + 19. If s = 16, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"w": "l + 16", "x": "w + 9", "y": "x + 2", "t": "y + 17", "c": "t + 1", "p": "c + 3", "h": "l + 7", "f": "h + 6", "z": "f + 12", "k": "z + 15", "m": "k + 15", "r": "m + 13", "l": 20}, "premises": {"l": 20}, "target": "p"}, "answer": {"steps": [["c", "t + 1", "t + 4"], ["t", "y + 17", "y + 21"], ["y", "x + 2", "x + 23"], ["x", "w + 9", "w + 32"], ["w", "l + 16", "l + 48"], ["l", 20, "68"]], "target_var_name": "p", "target_value": 68, "value_dict": {"l": 20}, "is_reverse": true}}
| 4,673
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = w + 9; f = h + 6; c = t + 1; r = m + 13; z = f + 12; t = y + 17; l = 20; k = z + 15; w = l + 16; m = k + 15; h = l + 7; y = x + 2; p = c + 3. If l = 20, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = t + 1 to p, which gives p = t + 4.\n2. Substitute t = y + 17 to p, which gives p = y + 21.\n3. Substitute y = x + 2 to p, which gives p = x + 23.\n4. Substitute x = w + 9 to p, which gives p = w + 32.\n5. Substitute w = l + 16 to p, which gives p = l + 48.\n6. Substitute l = 20 to p, which gives p = 68.\n\nThus, the final answer is p = \\boxed{68}.",
"index": 4673,
"question": "Consider a system of variables where each variable is defined as follows: x = w + 9; f = h + 6; c = t + 1; r = m + 13; z = f + 12; t = y + 17; l = 20; k = z + 15; w = l + 16; m = k + 15; h = l + 7; y = x + 2; p = c + 3. If l = 20, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"x": "m + 17", "l": "x + 13", "j": "l + 9", "b": "j + 8", "d": "b + 3", "e": "d + 6", "c": "m + 4", "y": "c + 18", "h": "y + 18", "a": "h + 17", "n": "a + 13", "k": "n + 16", "m": 6}, "premises": {"m": 6}, "target": "e"}, "answer": {"steps": [["d", "b + 3", "b + 9"], ["b", "j + 8", "j + 17"], ["j", "l + 9", "l + 26"], ["l", "x + 13", "x + 39"], ["x", "m + 17", "m + 56"], ["m", 6, "62"]], "target_var_name": "e", "target_value": 62, "value_dict": {"m": 6}, "is_reverse": true}}
| 4,674
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = h + 17; e = d + 6; y = c + 18; c = m + 4; m = 6; b = j + 8; x = m + 17; n = a + 13; l = x + 13; d = b + 3; k = n + 16; h = y + 18; j = l + 9. If m = 6, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = b + 3 to e, which gives e = b + 9.\n2. Substitute b = j + 8 to e, which gives e = j + 17.\n3. Substitute j = l + 9 to e, which gives e = l + 26.\n4. Substitute l = x + 13 to e, which gives e = x + 39.\n5. Substitute x = m + 17 to e, which gives e = m + 56.\n6. Substitute m = 6 to e, which gives e = 62.\n\nThus, the final answer is e = \\boxed{62}.",
"index": 4674,
"question": "Consider a system of variables where each variable is defined as follows: a = h + 17; e = d + 6; y = c + 18; c = m + 4; m = 6; b = j + 8; x = m + 17; n = a + 13; l = x + 13; d = b + 3; k = n + 16; h = y + 18; j = l + 9. If m = 6, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"z": "g + 8", "c": "z + 10", "l": "c + 8", "n": "l + 17", "k": "n + 8", "w": "k + 8", "v": "g + 18", "s": "v + 6", "r": "s + 6", "x": "r + 9", "e": "x + 11", "y": "e + 10", "g": 9}, "premises": {"g": 9}, "target": "w"}, "answer": {"steps": [["k", "n + 8", "n + 16"], ["n", "l + 17", "l + 33"], ["l", "c + 8", "c + 41"], ["c", "z + 10", "z + 51"], ["z", "g + 8", "g + 59"], ["g", 9, "68"]], "target_var_name": "w", "target_value": 68, "value_dict": {"g": 9}, "is_reverse": true}}
| 4,675
| 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 = e + 10; x = r + 9; z = g + 8; n = l + 17; l = c + 8; w = k + 8; e = x + 11; k = n + 8; g = 9; c = z + 10; v = g + 18; r = s + 6; s = v + 6. If g = 9, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = n + 8 to w, which gives w = n + 16.\n2. Substitute n = l + 17 to w, which gives w = l + 33.\n3. Substitute l = c + 8 to w, which gives w = c + 41.\n4. Substitute c = z + 10 to w, which gives w = z + 51.\n5. Substitute z = g + 8 to w, which gives w = g + 59.\n6. Substitute g = 9 to w, which gives w = 68.\n\nThus, the final answer is w = \\boxed{68}.",
"index": 4675,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = e + 10; x = r + 9; z = g + 8; n = l + 17; l = c + 8; w = k + 8; e = x + 11; k = n + 8; g = 9; c = z + 10; v = g + 18; r = s + 6; s = v + 6. If g = 9, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"z": "r + 5", "l": "z + 1", "g": "l + 4", "u": "g + 17", "c": "u + 12", "j": "c + 17", "p": "r + 12", "o": "p + 19", "q": "o + 7", "v": "q + 20", "b": "v + 12", "x": "b + 12", "r": 4}, "premises": {"r": 4}, "target": "j"}, "answer": {"steps": [["c", "u + 12", "u + 29"], ["u", "g + 17", "g + 46"], ["g", "l + 4", "l + 50"], ["l", "z + 1", "z + 51"], ["z", "r + 5", "r + 56"], ["r", 4, "60"]], "target_var_name": "j", "target_value": 60, "value_dict": {"r": 4}, "is_reverse": true}}
| 4,676
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = q + 20; g = l + 4; j = c + 17; o = p + 19; c = u + 12; q = o + 7; b = v + 12; r = 4; l = z + 1; z = r + 5; p = r + 12; x = b + 12; u = g + 17. Given that r = 4, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = u + 12 to j, which gives j = u + 29.\n2. Substitute u = g + 17 to j, which gives j = g + 46.\n3. Substitute g = l + 4 to j, which gives j = l + 50.\n4. Substitute l = z + 1 to j, which gives j = z + 51.\n5. Substitute z = r + 5 to j, which gives j = r + 56.\n6. Substitute r = 4 to j, which gives j = 60.\n\nThus, the final answer is j = \\boxed{60}.",
"index": 4676,
"question": "Suppose a collection of variables is related by the following definitions: v = q + 20; g = l + 4; j = c + 17; o = p + 19; c = u + 12; q = o + 7; b = v + 12; r = 4; l = z + 1; z = r + 5; p = r + 12; x = b + 12; u = g + 17. Given that r = 4, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"f": "j + 7", "v": "f + 17", "u": "v + 4", "y": "u + 3", "q": "y + 15", "b": "q + 18", "c": "j + 7", "m": "c + 16", "t": "m + 1", "l": "t + 8", "i": "l + 12", "o": "i + 12", "j": 18}, "premises": {"j": 18}, "target": "b"}, "answer": {"steps": [["q", "y + 15", "y + 33"], ["y", "u + 3", "u + 36"], ["u", "v + 4", "v + 40"], ["v", "f + 17", "f + 57"], ["f", "j + 7", "j + 64"], ["j", 18, "82"]], "target_var_name": "b", "target_value": 82, "value_dict": {"j": 18}, "is_reverse": true}}
| 4,677
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = m + 1; u = v + 4; c = j + 7; o = i + 12; v = f + 17; i = l + 12; l = t + 8; y = u + 3; b = q + 18; f = j + 7; q = y + 15; j = 18; m = c + 16. Given that j = 18, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = y + 15 to b, which gives b = y + 33.\n2. Substitute y = u + 3 to b, which gives b = u + 36.\n3. Substitute u = v + 4 to b, which gives b = v + 40.\n4. Substitute v = f + 17 to b, which gives b = f + 57.\n5. Substitute f = j + 7 to b, which gives b = j + 64.\n6. Substitute j = 18 to b, which gives b = 82.\n\nThus, the final answer is b = \\boxed{82}.",
"index": 4677,
"question": "Suppose a collection of variables is related by the following definitions: t = m + 1; u = v + 4; c = j + 7; o = i + 12; v = f + 17; i = l + 12; l = t + 8; y = u + 3; b = q + 18; f = j + 7; q = y + 15; j = 18; m = c + 16. Given that j = 18, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"l": "h + 7", "q": "l + 1", "j": "q + 17", "g": "j + 14", "a": "g + 9", "e": "a + 6", "p": "h + 4", "m": "p + 2", "u": "m + 19", "s": "u + 20", "w": "s + 1", "z": "w + 3", "h": 18}, "premises": {"h": 18}, "target": "e"}, "answer": {"steps": [["a", "g + 9", "g + 15"], ["g", "j + 14", "j + 29"], ["j", "q + 17", "q + 46"], ["q", "l + 1", "l + 47"], ["l", "h + 7", "h + 54"], ["h", 18, "72"]], "target_var_name": "e", "target_value": 72, "value_dict": {"h": 18}, "is_reverse": true}}
| 4,678
| 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 = u + 20; z = w + 3; e = a + 6; w = s + 1; j = q + 17; g = j + 14; u = m + 19; q = l + 1; m = p + 2; a = g + 9; h = 18; p = h + 4; l = h + 7. If h = 18, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = g + 9 to e, which gives e = g + 15.\n2. Substitute g = j + 14 to e, which gives e = j + 29.\n3. Substitute j = q + 17 to e, which gives e = q + 46.\n4. Substitute q = l + 1 to e, which gives e = l + 47.\n5. Substitute l = h + 7 to e, which gives e = h + 54.\n6. Substitute h = 18 to e, which gives e = 72.\n\nThus, the final answer is e = \\boxed{72}.",
"index": 4678,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = u + 20; z = w + 3; e = a + 6; w = s + 1; j = q + 17; g = j + 14; u = m + 19; q = l + 1; m = p + 2; a = g + 9; h = 18; p = h + 4; l = h + 7. If h = 18, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"y": "t + 7", "j": "y + 17", "n": "j + 13", "w": "n + 5", "u": "w + 3", "a": "u + 3", "s": "t + 19", "c": "s + 15", "g": "c + 9", "x": "g + 19", "b": "x + 8", "e": "b + 17", "t": 10}, "premises": {"t": 10}, "target": "a"}, "answer": {"steps": [["u", "w + 3", "w + 6"], ["w", "n + 5", "n + 11"], ["n", "j + 13", "j + 24"], ["j", "y + 17", "y + 41"], ["y", "t + 7", "t + 48"], ["t", 10, "58"]], "target_var_name": "a", "target_value": 58, "value_dict": {"t": 10}, "is_reverse": true}}
| 4,679
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = s + 15; w = n + 5; a = u + 3; b = x + 8; x = g + 19; g = c + 9; j = y + 17; e = b + 17; u = w + 3; n = j + 13; t = 10; s = t + 19; y = t + 7. If t = 10, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = w + 3 to a, which gives a = w + 6.\n2. Substitute w = n + 5 to a, which gives a = n + 11.\n3. Substitute n = j + 13 to a, which gives a = j + 24.\n4. Substitute j = y + 17 to a, which gives a = y + 41.\n5. Substitute y = t + 7 to a, which gives a = t + 48.\n6. Substitute t = 10 to a, which gives a = 58.\n\nThus, the final answer is a = \\boxed{58}.",
"index": 4679,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = s + 15; w = n + 5; a = u + 3; b = x + 8; x = g + 19; g = c + 9; j = y + 17; e = b + 17; u = w + 3; n = j + 13; t = 10; s = t + 19; y = t + 7. If t = 10, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"z": "g + 16", "s": "z + 12", "j": "s + 3", "c": "j + 9", "o": "c + 4", "w": "o + 20", "a": "g + 11", "k": "a + 19", "t": "k + 13", "n": "t + 20", "d": "n + 15", "e": "d + 1", "g": 12}, "premises": {"g": 12}, "target": "w"}, "answer": {"steps": [["o", "c + 4", "c + 24"], ["c", "j + 9", "j + 33"], ["j", "s + 3", "s + 36"], ["s", "z + 12", "z + 48"], ["z", "g + 16", "g + 64"], ["g", 12, "76"]], "target_var_name": "w", "target_value": 76, "value_dict": {"g": 12}, "is_reverse": true}}
| 4,680
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = j + 9; g = 12; o = c + 4; a = g + 11; k = a + 19; d = n + 15; t = k + 13; e = d + 1; s = z + 12; w = o + 20; j = s + 3; n = t + 20; z = g + 16. Given that g = 12, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = c + 4 to w, which gives w = c + 24.\n2. Substitute c = j + 9 to w, which gives w = j + 33.\n3. Substitute j = s + 3 to w, which gives w = s + 36.\n4. Substitute s = z + 12 to w, which gives w = z + 48.\n5. Substitute z = g + 16 to w, which gives w = g + 64.\n6. Substitute g = 12 to w, which gives w = 76.\n\nThus, the final answer is w = \\boxed{76}.",
"index": 4680,
"question": "Suppose a collection of variables is related by the following definitions: c = j + 9; g = 12; o = c + 4; a = g + 11; k = a + 19; d = n + 15; t = k + 13; e = d + 1; s = z + 12; w = o + 20; j = s + 3; n = t + 20; z = g + 16. Given that g = 12, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"d": "h + 12", "c": "d + 16", "t": "c + 17", "y": "t + 18", "o": "y + 10", "f": "o + 3", "z": "h + 11", "l": "z + 13", "e": "l + 7", "n": "e + 11", "s": "n + 7", "w": "s + 17", "h": 5}, "premises": {"h": 5}, "target": "f"}, "answer": {"steps": [["o", "y + 10", "y + 13"], ["y", "t + 18", "t + 31"], ["t", "c + 17", "c + 48"], ["c", "d + 16", "d + 64"], ["d", "h + 12", "h + 76"], ["h", 5, "81"]], "target_var_name": "f", "target_value": 81, "value_dict": {"h": 5}, "is_reverse": true}}
| 4,681
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = z + 13; z = h + 11; n = e + 11; y = t + 18; e = l + 7; t = c + 17; f = o + 3; w = s + 17; d = h + 12; c = d + 16; o = y + 10; h = 5; s = n + 7. If h = 5, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = y + 10 to f, which gives f = y + 13.\n2. Substitute y = t + 18 to f, which gives f = t + 31.\n3. Substitute t = c + 17 to f, which gives f = c + 48.\n4. Substitute c = d + 16 to f, which gives f = d + 64.\n5. Substitute d = h + 12 to f, which gives f = h + 76.\n6. Substitute h = 5 to f, which gives f = 81.\n\nThus, the final answer is f = \\boxed{81}.",
"index": 4681,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = z + 13; z = h + 11; n = e + 11; y = t + 18; e = l + 7; t = c + 17; f = o + 3; w = s + 17; d = h + 12; c = d + 16; o = y + 10; h = 5; s = n + 7. If h = 5, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"u": "q + 10", "p": "u + 4", "m": "p + 13", "j": "m + 17", "k": "j + 14", "f": "k + 1", "e": "q + 10", "x": "e + 17", "h": "x + 17", "v": "h + 10", "t": "v + 15", "a": "t + 17", "q": 6}, "premises": {"q": 6}, "target": "f"}, "answer": {"steps": [["k", "j + 14", "j + 15"], ["j", "m + 17", "m + 32"], ["m", "p + 13", "p + 45"], ["p", "u + 4", "u + 49"], ["u", "q + 10", "q + 59"], ["q", 6, "65"]], "target_var_name": "f", "target_value": 65, "value_dict": {"q": 6}, "is_reverse": true}}
| 4,682
| 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 + 15; q = 6; u = q + 10; m = p + 13; k = j + 14; e = q + 10; h = x + 17; x = e + 17; p = u + 4; f = k + 1; j = m + 17; a = t + 17; v = h + 10. If q = 6, 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 k = j + 14 to f, which gives f = j + 15.\n2. Substitute j = m + 17 to f, which gives f = m + 32.\n3. Substitute m = p + 13 to f, which gives f = p + 45.\n4. Substitute p = u + 4 to f, which gives f = u + 49.\n5. Substitute u = q + 10 to f, which gives f = q + 59.\n6. Substitute q = 6 to f, which gives f = 65.\n\nThus, the final answer is f = \\boxed{65}.",
"index": 4682,
"question": "Consider a system of variables where each variable is defined as follows: t = v + 15; q = 6; u = q + 10; m = p + 13; k = j + 14; e = q + 10; h = x + 17; x = e + 17; p = u + 4; f = k + 1; j = m + 17; a = t + 17; v = h + 10. If q = 6, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"q": "x + 10", "y": "q + 20", "m": "y + 16", "w": "m + 19", "u": "w + 1", "a": "u + 1", "s": "x + 6", "c": "s + 15", "v": "c + 5", "t": "v + 4", "b": "t + 3", "l": "b + 16", "x": 14}, "premises": {"x": 14}, "target": "a"}, "answer": {"steps": [["u", "w + 1", "w + 2"], ["w", "m + 19", "m + 21"], ["m", "y + 16", "y + 37"], ["y", "q + 20", "q + 57"], ["q", "x + 10", "x + 67"], ["x", 14, "81"]], "target_var_name": "a", "target_value": 81, "value_dict": {"x": 14}, "is_reverse": true}}
| 4,683
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = c + 5; w = m + 19; a = u + 1; q = x + 10; c = s + 15; u = w + 1; x = 14; y = q + 20; s = x + 6; b = t + 3; t = v + 4; l = b + 16; m = y + 16. If x = 14, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = w + 1 to a, which gives a = w + 2.\n2. Substitute w = m + 19 to a, which gives a = m + 21.\n3. Substitute m = y + 16 to a, which gives a = y + 37.\n4. Substitute y = q + 20 to a, which gives a = q + 57.\n5. Substitute q = x + 10 to a, which gives a = x + 67.\n6. Substitute x = 14 to a, which gives a = 81.\n\nThus, the final answer is a = \\boxed{81}.",
"index": 4683,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = c + 5; w = m + 19; a = u + 1; q = x + 10; c = s + 15; u = w + 1; x = 14; y = q + 20; s = x + 6; b = t + 3; t = v + 4; l = b + 16; m = y + 16. If x = 14, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"s": "w + 11", "q": "s + 14", "d": "q + 5", "v": "d + 17", "z": "v + 14", "m": "z + 13", "x": "w + 15", "p": "x + 6", "y": "p + 9", "h": "y + 7", "c": "h + 2", "u": "c + 3", "w": 8}, "premises": {"w": 8}, "target": "m"}, "answer": {"steps": [["z", "v + 14", "v + 27"], ["v", "d + 17", "d + 44"], ["d", "q + 5", "q + 49"], ["q", "s + 14", "s + 63"], ["s", "w + 11", "w + 74"], ["w", 8, "82"]], "target_var_name": "m", "target_value": 82, "value_dict": {"w": 8}, "is_reverse": true}}
| 4,684
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = h + 2; d = q + 5; x = w + 15; y = p + 9; m = z + 13; z = v + 14; q = s + 14; p = x + 6; v = d + 17; w = 8; s = w + 11; u = c + 3; h = y + 7. If w = 8, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = v + 14 to m, which gives m = v + 27.\n2. Substitute v = d + 17 to m, which gives m = d + 44.\n3. Substitute d = q + 5 to m, which gives m = q + 49.\n4. Substitute q = s + 14 to m, which gives m = s + 63.\n5. Substitute s = w + 11 to m, which gives m = w + 74.\n6. Substitute w = 8 to m, which gives m = 82.\n\nThus, the final answer is m = \\boxed{82}.",
"index": 4684,
"question": "Consider a system of variables where each variable is defined as follows: c = h + 2; d = q + 5; x = w + 15; y = p + 9; m = z + 13; z = v + 14; q = s + 14; p = x + 6; v = d + 17; w = 8; s = w + 11; u = c + 3; h = y + 7. If w = 8, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"q": "i + 11", "g": "q + 19", "j": "g + 18", "e": "j + 13", "r": "e + 11", "s": "r + 15", "f": "i + 9", "x": "f + 16", "k": "x + 7", "m": "k + 1", "o": "m + 5", "w": "o + 6", "i": 14}, "premises": {"i": 14}, "target": "s"}, "answer": {"steps": [["r", "e + 11", "e + 26"], ["e", "j + 13", "j + 39"], ["j", "g + 18", "g + 57"], ["g", "q + 19", "q + 76"], ["q", "i + 11", "i + 87"], ["i", 14, "101"]], "target_var_name": "s", "target_value": 101, "value_dict": {"i": 14}, "is_reverse": true}}
| 4,685
| 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 = o + 6; i = 14; f = i + 9; m = k + 1; s = r + 15; q = i + 11; k = x + 7; r = e + 11; e = j + 13; o = m + 5; x = f + 16; g = q + 19; j = g + 18. If i = 14, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 101,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = e + 11 to s, which gives s = e + 26.\n2. Substitute e = j + 13 to s, which gives s = j + 39.\n3. Substitute j = g + 18 to s, which gives s = g + 57.\n4. Substitute g = q + 19 to s, which gives s = q + 76.\n5. Substitute q = i + 11 to s, which gives s = i + 87.\n6. Substitute i = 14 to s, which gives s = 101.\n\nThus, the final answer is s = \\boxed{101}.",
"index": 4685,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = o + 6; i = 14; f = i + 9; m = k + 1; s = r + 15; q = i + 11; k = x + 7; r = e + 11; e = j + 13; o = m + 5; x = f + 16; g = q + 19; j = g + 18. If i = 14, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"h": "i + 17", "g": "h + 9", "v": "g + 7", "t": "v + 7", "y": "t + 18", "w": "y + 9", "m": "i + 19", "p": "m + 9", "s": "p + 14", "q": "s + 6", "n": "q + 7", "l": "n + 13", "i": 19}, "premises": {"i": 19}, "target": "w"}, "answer": {"steps": [["y", "t + 18", "t + 27"], ["t", "v + 7", "v + 34"], ["v", "g + 7", "g + 41"], ["g", "h + 9", "h + 50"], ["h", "i + 17", "i + 67"], ["i", 19, "86"]], "target_var_name": "w", "target_value": 86, "value_dict": {"i": 19}, "is_reverse": true}}
| 4,686
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = y + 9; v = g + 7; s = p + 14; y = t + 18; l = n + 13; n = q + 7; m = i + 19; i = 19; q = s + 6; h = i + 17; p = m + 9; t = v + 7; g = h + 9. Given that i = 19, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = t + 18 to w, which gives w = t + 27.\n2. Substitute t = v + 7 to w, which gives w = v + 34.\n3. Substitute v = g + 7 to w, which gives w = g + 41.\n4. Substitute g = h + 9 to w, which gives w = h + 50.\n5. Substitute h = i + 17 to w, which gives w = i + 67.\n6. Substitute i = 19 to w, which gives w = 86.\n\nThus, the final answer is w = \\boxed{86}.",
"index": 4686,
"question": "Suppose a collection of variables is related by the following definitions: w = y + 9; v = g + 7; s = p + 14; y = t + 18; l = n + 13; n = q + 7; m = i + 19; i = 19; q = s + 6; h = i + 17; p = m + 9; t = v + 7; g = h + 9. Given that i = 19, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"d": "p + 17", "q": "d + 5", "f": "q + 16", "o": "f + 15", "g": "o + 2", "s": "g + 2", "l": "p + 9", "r": "l + 8", "b": "r + 14", "k": "b + 5", "t": "k + 17", "w": "t + 7", "p": 12}, "premises": {"p": 12}, "target": "s"}, "answer": {"steps": [["g", "o + 2", "o + 4"], ["o", "f + 15", "f + 19"], ["f", "q + 16", "q + 35"], ["q", "d + 5", "d + 40"], ["d", "p + 17", "p + 57"], ["p", 12, "69"]], "target_var_name": "s", "target_value": 69, "value_dict": {"p": 12}, "is_reverse": true}}
| 4,687
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = f + 15; l = p + 9; p = 12; k = b + 5; q = d + 5; w = t + 7; d = p + 17; g = o + 2; t = k + 17; b = r + 14; s = g + 2; r = l + 8; f = q + 16. If p = 12, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = o + 2 to s, which gives s = o + 4.\n2. Substitute o = f + 15 to s, which gives s = f + 19.\n3. Substitute f = q + 16 to s, which gives s = q + 35.\n4. Substitute q = d + 5 to s, which gives s = d + 40.\n5. Substitute d = p + 17 to s, which gives s = p + 57.\n6. Substitute p = 12 to s, which gives s = 69.\n\nThus, the final answer is s = \\boxed{69}.",
"index": 4687,
"question": "Consider a system of variables where each variable is defined as follows: o = f + 15; l = p + 9; p = 12; k = b + 5; q = d + 5; w = t + 7; d = p + 17; g = o + 2; t = k + 17; b = r + 14; s = g + 2; r = l + 8; f = q + 16. If p = 12, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"x": "m + 16", "n": "x + 14", "c": "n + 6", "b": "c + 2", "f": "b + 5", "k": "f + 8", "l": "m + 12", "r": "l + 2", "y": "r + 19", "s": "y + 13", "h": "s + 17", "u": "h + 9", "m": 1}, "premises": {"m": 1}, "target": "k"}, "answer": {"steps": [["f", "b + 5", "b + 13"], ["b", "c + 2", "c + 15"], ["c", "n + 6", "n + 21"], ["n", "x + 14", "x + 35"], ["x", "m + 16", "m + 51"], ["m", 1, "52"]], "target_var_name": "k", "target_value": 52, "value_dict": {"m": 1}, "is_reverse": true}}
| 4,688
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = b + 5; y = r + 19; r = l + 2; u = h + 9; c = n + 6; s = y + 13; b = c + 2; k = f + 8; l = m + 12; x = m + 16; h = s + 17; m = 1; n = x + 14. Given that m = 1, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 52,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = b + 5 to k, which gives k = b + 13.\n2. Substitute b = c + 2 to k, which gives k = c + 15.\n3. Substitute c = n + 6 to k, which gives k = n + 21.\n4. Substitute n = x + 14 to k, which gives k = x + 35.\n5. Substitute x = m + 16 to k, which gives k = m + 51.\n6. Substitute m = 1 to k, which gives k = 52.\n\nThus, the final answer is k = \\boxed{52}.",
"index": 4688,
"question": "Suppose a collection of variables is related by the following definitions: f = b + 5; y = r + 19; r = l + 2; u = h + 9; c = n + 6; s = y + 13; b = c + 2; k = f + 8; l = m + 12; x = m + 16; h = s + 17; m = 1; n = x + 14. Given that m = 1, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"s": "r + 11", "w": "s + 3", "f": "w + 20", "c": "f + 4", "o": "c + 16", "p": "o + 20", "t": "r + 7", "v": "t + 18", "e": "v + 19", "z": "e + 2", "m": "z + 8", "b": "m + 17", "r": 20}, "premises": {"r": 20}, "target": "p"}, "answer": {"steps": [["o", "c + 16", "c + 36"], ["c", "f + 4", "f + 40"], ["f", "w + 20", "w + 60"], ["w", "s + 3", "s + 63"], ["s", "r + 11", "r + 74"], ["r", 20, "94"]], "target_var_name": "p", "target_value": 94, "value_dict": {"r": 20}, "is_reverse": true}}
| 4,689
| 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 + 8; e = v + 19; w = s + 3; o = c + 16; r = 20; p = o + 20; c = f + 4; f = w + 20; z = e + 2; s = r + 11; t = r + 7; v = t + 18; b = m + 17. If r = 20, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = c + 16 to p, which gives p = c + 36.\n2. Substitute c = f + 4 to p, which gives p = f + 40.\n3. Substitute f = w + 20 to p, which gives p = w + 60.\n4. Substitute w = s + 3 to p, which gives p = s + 63.\n5. Substitute s = r + 11 to p, which gives p = r + 74.\n6. Substitute r = 20 to p, which gives p = 94.\n\nThus, the final answer is p = \\boxed{94}.",
"index": 4689,
"question": "Consider a system of variables where each variable is defined as follows: m = z + 8; e = v + 19; w = s + 3; o = c + 16; r = 20; p = o + 20; c = f + 4; f = w + 20; z = e + 2; s = r + 11; t = r + 7; v = t + 18; b = m + 17. If r = 20, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"i": "l + 11", "f": "i + 7", "d": "f + 11", "x": "d + 11", "j": "x + 16", "w": "j + 3", "s": "l + 19", "v": "s + 14", "h": "v + 9", "e": "h + 8", "k": "e + 12", "y": "k + 14", "l": 5}, "premises": {"l": 5}, "target": "w"}, "answer": {"steps": [["j", "x + 16", "x + 19"], ["x", "d + 11", "d + 30"], ["d", "f + 11", "f + 41"], ["f", "i + 7", "i + 48"], ["i", "l + 11", "l + 59"], ["l", 5, "64"]], "target_var_name": "w", "target_value": 64, "value_dict": {"l": 5}, "is_reverse": true}}
| 4,690
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = e + 12; w = j + 3; s = l + 19; j = x + 16; v = s + 14; x = d + 11; e = h + 8; h = v + 9; d = f + 11; y = k + 14; i = l + 11; l = 5; f = i + 7. If l = 5, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = x + 16 to w, which gives w = x + 19.\n2. Substitute x = d + 11 to w, which gives w = d + 30.\n3. Substitute d = f + 11 to w, which gives w = f + 41.\n4. Substitute f = i + 7 to w, which gives w = i + 48.\n5. Substitute i = l + 11 to w, which gives w = l + 59.\n6. Substitute l = 5 to w, which gives w = 64.\n\nThus, the final answer is w = \\boxed{64}.",
"index": 4690,
"question": "Consider a system of variables where each variable is defined as follows: k = e + 12; w = j + 3; s = l + 19; j = x + 16; v = s + 14; x = d + 11; e = h + 8; h = v + 9; d = f + 11; y = k + 14; i = l + 11; l = 5; f = i + 7. If l = 5, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"s": "c + 13", "b": "s + 19", "f": "b + 6", "l": "f + 1", "y": "l + 14", "a": "y + 19", "u": "c + 13", "n": "u + 2", "t": "n + 17", "r": "t + 11", "j": "r + 2", "o": "j + 8", "c": 2}, "premises": {"c": 2}, "target": "a"}, "answer": {"steps": [["y", "l + 14", "l + 33"], ["l", "f + 1", "f + 34"], ["f", "b + 6", "b + 40"], ["b", "s + 19", "s + 59"], ["s", "c + 13", "c + 72"], ["c", 2, "74"]], "target_var_name": "a", "target_value": 74, "value_dict": {"c": 2}, "is_reverse": true}}
| 4,691
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = 2; u = c + 13; j = r + 2; a = y + 19; t = n + 17; r = t + 11; s = c + 13; n = u + 2; b = s + 19; l = f + 1; y = l + 14; o = j + 8; f = b + 6. If c = 2, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = l + 14 to a, which gives a = l + 33.\n2. Substitute l = f + 1 to a, which gives a = f + 34.\n3. Substitute f = b + 6 to a, which gives a = b + 40.\n4. Substitute b = s + 19 to a, which gives a = s + 59.\n5. Substitute s = c + 13 to a, which gives a = c + 72.\n6. Substitute c = 2 to a, which gives a = 74.\n\nThus, the final answer is a = \\boxed{74}.",
"index": 4691,
"question": "Consider a system of variables where each variable is defined as follows: c = 2; u = c + 13; j = r + 2; a = y + 19; t = n + 17; r = t + 11; s = c + 13; n = u + 2; b = s + 19; l = f + 1; y = l + 14; o = j + 8; f = b + 6. If c = 2, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"g": "h + 19", "j": "g + 2", "q": "j + 14", "l": "q + 4", "t": "l + 14", "c": "t + 9", "a": "h + 5", "p": "a + 10", "o": "p + 20", "r": "o + 13", "i": "r + 14", "b": "i + 11", "h": 3}, "premises": {"h": 3}, "target": "c"}, "answer": {"steps": [["t", "l + 14", "l + 23"], ["l", "q + 4", "q + 27"], ["q", "j + 14", "j + 41"], ["j", "g + 2", "g + 43"], ["g", "h + 19", "h + 62"], ["h", 3, "65"]], "target_var_name": "c", "target_value": 65, "value_dict": {"h": 3}, "is_reverse": true}}
| 4,692
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = h + 5; t = l + 14; l = q + 4; g = h + 19; q = j + 14; o = p + 20; b = i + 11; p = a + 10; h = 3; c = t + 9; r = o + 13; j = g + 2; i = r + 14. If h = 3, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = l + 14 to c, which gives c = l + 23.\n2. Substitute l = q + 4 to c, which gives c = q + 27.\n3. Substitute q = j + 14 to c, which gives c = j + 41.\n4. Substitute j = g + 2 to c, which gives c = g + 43.\n5. Substitute g = h + 19 to c, which gives c = h + 62.\n6. Substitute h = 3 to c, which gives c = 65.\n\nThus, the final answer is c = \\boxed{65}.",
"index": 4692,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = h + 5; t = l + 14; l = q + 4; g = h + 19; q = j + 14; o = p + 20; b = i + 11; p = a + 10; h = 3; c = t + 9; r = o + 13; j = g + 2; i = r + 14. If h = 3, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"p": "n + 18", "y": "p + 19", "c": "y + 16", "m": "c + 19", "q": "m + 8", "o": "q + 1", "d": "n + 14", "u": "d + 2", "e": "u + 17", "v": "e + 4", "g": "v + 14", "f": "g + 19", "n": 7}, "premises": {"n": 7}, "target": "o"}, "answer": {"steps": [["q", "m + 8", "m + 9"], ["m", "c + 19", "c + 28"], ["c", "y + 16", "y + 44"], ["y", "p + 19", "p + 63"], ["p", "n + 18", "n + 81"], ["n", 7, "88"]], "target_var_name": "o", "target_value": 88, "value_dict": {"n": 7}, "is_reverse": true}}
| 4,693
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = d + 2; d = n + 14; p = n + 18; f = g + 19; m = c + 19; c = y + 16; v = e + 4; n = 7; g = v + 14; y = p + 19; o = q + 1; q = m + 8; e = u + 17. If n = 7, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = m + 8 to o, which gives o = m + 9.\n2. Substitute m = c + 19 to o, which gives o = c + 28.\n3. Substitute c = y + 16 to o, which gives o = y + 44.\n4. Substitute y = p + 19 to o, which gives o = p + 63.\n5. Substitute p = n + 18 to o, which gives o = n + 81.\n6. Substitute n = 7 to o, which gives o = 88.\n\nThus, the final answer is o = \\boxed{88}.",
"index": 4693,
"question": "Consider a system of variables where each variable is defined as follows: u = d + 2; d = n + 14; p = n + 18; f = g + 19; m = c + 19; c = y + 16; v = e + 4; n = 7; g = v + 14; y = p + 19; o = q + 1; q = m + 8; e = u + 17. If n = 7, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"n": "d + 16", "b": "n + 1", "q": "b + 9", "l": "q + 6", "p": "l + 10", "e": "p + 11", "f": "d + 18", "i": "f + 4", "u": "i + 3", "z": "u + 8", "r": "z + 11", "w": "r + 6", "d": 3}, "premises": {"d": 3}, "target": "e"}, "answer": {"steps": [["p", "l + 10", "l + 21"], ["l", "q + 6", "q + 27"], ["q", "b + 9", "b + 36"], ["b", "n + 1", "n + 37"], ["n", "d + 16", "d + 53"], ["d", 3, "56"]], "target_var_name": "e", "target_value": 56, "value_dict": {"d": 3}, "is_reverse": true}}
| 4,694
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = z + 11; d = 3; n = d + 16; b = n + 1; w = r + 6; l = q + 6; q = b + 9; p = l + 10; e = p + 11; z = u + 8; f = d + 18; i = f + 4; u = i + 3. If d = 3, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = l + 10 to e, which gives e = l + 21.\n2. Substitute l = q + 6 to e, which gives e = q + 27.\n3. Substitute q = b + 9 to e, which gives e = b + 36.\n4. Substitute b = n + 1 to e, which gives e = n + 37.\n5. Substitute n = d + 16 to e, which gives e = d + 53.\n6. Substitute d = 3 to e, which gives e = 56.\n\nThus, the final answer is e = \\boxed{56}.",
"index": 4694,
"question": "Consider a system of variables where each variable is defined as follows: r = z + 11; d = 3; n = d + 16; b = n + 1; w = r + 6; l = q + 6; q = b + 9; p = l + 10; e = p + 11; z = u + 8; f = d + 18; i = f + 4; u = i + 3. If d = 3, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"v": "j + 3", "a": "v + 8", "i": "a + 12", "x": "i + 2", "z": "x + 11", "u": "z + 2", "e": "j + 15", "n": "e + 9", "t": "n + 5", "m": "t + 11", "y": "m + 17", "o": "y + 8", "j": 15}, "premises": {"j": 15}, "target": "u"}, "answer": {"steps": [["z", "x + 11", "x + 13"], ["x", "i + 2", "i + 15"], ["i", "a + 12", "a + 27"], ["a", "v + 8", "v + 35"], ["v", "j + 3", "j + 38"], ["j", 15, "53"]], "target_var_name": "u", "target_value": 53, "value_dict": {"j": 15}, "is_reverse": true}}
| 4,695
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = i + 2; j = 15; z = x + 11; a = v + 8; o = y + 8; i = a + 12; u = z + 2; v = j + 3; m = t + 11; t = n + 5; e = j + 15; y = m + 17; n = e + 9. Given that j = 15, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = x + 11 to u, which gives u = x + 13.\n2. Substitute x = i + 2 to u, which gives u = i + 15.\n3. Substitute i = a + 12 to u, which gives u = a + 27.\n4. Substitute a = v + 8 to u, which gives u = v + 35.\n5. Substitute v = j + 3 to u, which gives u = j + 38.\n6. Substitute j = 15 to u, which gives u = 53.\n\nThus, the final answer is u = \\boxed{53}.",
"index": 4695,
"question": "Suppose a collection of variables is related by the following definitions: x = i + 2; j = 15; z = x + 11; a = v + 8; o = y + 8; i = a + 12; u = z + 2; v = j + 3; m = t + 11; t = n + 5; e = j + 15; y = m + 17; n = e + 9. Given that j = 15, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"n": "f + 2", "u": "n + 19", "h": "u + 15", "m": "h + 15", "i": "m + 19", "r": "i + 3", "b": "f + 16", "a": "b + 15", "p": "a + 6", "k": "p + 2", "v": "k + 1", "e": "v + 14", "f": 14}, "premises": {"f": 14}, "target": "r"}, "answer": {"steps": [["i", "m + 19", "m + 22"], ["m", "h + 15", "h + 37"], ["h", "u + 15", "u + 52"], ["u", "n + 19", "n + 71"], ["n", "f + 2", "f + 73"], ["f", 14, "87"]], "target_var_name": "r", "target_value": 87, "value_dict": {"f": 14}, "is_reverse": true}}
| 4,696
| 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 = 14; h = u + 15; v = k + 1; e = v + 14; b = f + 16; i = m + 19; n = f + 2; m = h + 15; u = n + 19; k = p + 2; a = b + 15; r = i + 3; p = a + 6. If f = 14, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = m + 19 to r, which gives r = m + 22.\n2. Substitute m = h + 15 to r, which gives r = h + 37.\n3. Substitute h = u + 15 to r, which gives r = u + 52.\n4. Substitute u = n + 19 to r, which gives r = n + 71.\n5. Substitute n = f + 2 to r, which gives r = f + 73.\n6. Substitute f = 14 to r, which gives r = 87.\n\nThus, the final answer is r = \\boxed{87}.",
"index": 4696,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = 14; h = u + 15; v = k + 1; e = v + 14; b = f + 16; i = m + 19; n = f + 2; m = h + 15; u = n + 19; k = p + 2; a = b + 15; r = i + 3; p = a + 6. If f = 14, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"s": "x + 4", "c": "s + 7", "a": "c + 10", "i": "a + 8", "f": "i + 3", "r": "f + 18", "h": "x + 20", "k": "h + 10", "v": "k + 5", "m": "v + 17", "l": "m + 17", "p": "l + 5", "x": 2}, "premises": {"x": 2}, "target": "r"}, "answer": {"steps": [["f", "i + 3", "i + 21"], ["i", "a + 8", "a + 29"], ["a", "c + 10", "c + 39"], ["c", "s + 7", "s + 46"], ["s", "x + 4", "x + 50"], ["x", 2, "52"]], "target_var_name": "r", "target_value": 52, "value_dict": {"x": 2}, "is_reverse": true}}
| 4,697
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = m + 17; p = l + 5; c = s + 7; r = f + 18; i = a + 8; m = v + 17; s = x + 4; x = 2; v = k + 5; a = c + 10; h = x + 20; f = i + 3; k = h + 10. Given that x = 2, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 52,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = i + 3 to r, which gives r = i + 21.\n2. Substitute i = a + 8 to r, which gives r = a + 29.\n3. Substitute a = c + 10 to r, which gives r = c + 39.\n4. Substitute c = s + 7 to r, which gives r = s + 46.\n5. Substitute s = x + 4 to r, which gives r = x + 50.\n6. Substitute x = 2 to r, which gives r = 52.\n\nThus, the final answer is r = \\boxed{52}.",
"index": 4697,
"question": "Suppose a collection of variables is related by the following definitions: l = m + 17; p = l + 5; c = s + 7; r = f + 18; i = a + 8; m = v + 17; s = x + 4; x = 2; v = k + 5; a = c + 10; h = x + 20; f = i + 3; k = h + 10. Given that x = 2, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"j": "z + 4", "i": "j + 7", "o": "i + 12", "c": "o + 2", "r": "c + 14", "a": "r + 6", "n": "z + 7", "t": "n + 20", "x": "t + 9", "l": "x + 9", "f": "l + 13", "q": "f + 2", "z": 14}, "premises": {"z": 14}, "target": "a"}, "answer": {"steps": [["r", "c + 14", "c + 20"], ["c", "o + 2", "o + 22"], ["o", "i + 12", "i + 34"], ["i", "j + 7", "j + 41"], ["j", "z + 4", "z + 45"], ["z", 14, "59"]], "target_var_name": "a", "target_value": 59, "value_dict": {"z": 14}, "is_reverse": true}}
| 4,698
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = 14; c = o + 2; f = l + 13; l = x + 9; o = i + 12; j = z + 4; q = f + 2; i = j + 7; a = r + 6; t = n + 20; x = t + 9; r = c + 14; n = z + 7. Given that z = 14, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = c + 14 to a, which gives a = c + 20.\n2. Substitute c = o + 2 to a, which gives a = o + 22.\n3. Substitute o = i + 12 to a, which gives a = i + 34.\n4. Substitute i = j + 7 to a, which gives a = j + 41.\n5. Substitute j = z + 4 to a, which gives a = z + 45.\n6. Substitute z = 14 to a, which gives a = 59.\n\nThus, the final answer is a = \\boxed{59}.",
"index": 4698,
"question": "Suppose a collection of variables is related by the following definitions: z = 14; c = o + 2; f = l + 13; l = x + 9; o = i + 12; j = z + 4; q = f + 2; i = j + 7; a = r + 6; t = n + 20; x = t + 9; r = c + 14; n = z + 7. Given that z = 14, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"v": "i + 3", "z": "v + 11", "n": "z + 15", "t": "n + 6", "p": "t + 9", "y": "p + 5", "h": "i + 10", "q": "h + 5", "k": "q + 7", "m": "k + 5", "o": "m + 17", "e": "o + 8", "i": 14}, "premises": {"i": 14}, "target": "y"}, "answer": {"steps": [["p", "t + 9", "t + 14"], ["t", "n + 6", "n + 20"], ["n", "z + 15", "z + 35"], ["z", "v + 11", "v + 46"], ["v", "i + 3", "i + 49"], ["i", 14, "63"]], "target_var_name": "y", "target_value": 63, "value_dict": {"i": 14}, "is_reverse": true}}
| 4,699
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = i + 3; q = h + 5; m = k + 5; i = 14; p = t + 9; t = n + 6; h = i + 10; z = v + 11; y = p + 5; o = m + 17; k = q + 7; e = o + 8; n = z + 15. Given that i = 14, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = t + 9 to y, which gives y = t + 14.\n2. Substitute t = n + 6 to y, which gives y = n + 20.\n3. Substitute n = z + 15 to y, which gives y = z + 35.\n4. Substitute z = v + 11 to y, which gives y = v + 46.\n5. Substitute v = i + 3 to y, which gives y = i + 49.\n6. Substitute i = 14 to y, which gives y = 63.\n\nThus, the final answer is y = \\boxed{63}.",
"index": 4699,
"question": "Suppose a collection of variables is related by the following definitions: v = i + 3; q = h + 5; m = k + 5; i = 14; p = t + 9; t = n + 6; h = i + 10; z = v + 11; y = p + 5; o = m + 17; k = q + 7; e = o + 8; n = z + 15. Given that i = 14, find the value of y.",
"split": "train"
}
|
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