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listlengths 1
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dict | extra_info
dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"o": "i + 10", "c": "o + 20", "j": "c + 11", "r": "j + 10", "h": "r + 2", "z": "h + 4", "f": "i + 10", "x": "f + 8", "n": "x + 19", "m": "n + 13", "a": "m + 8", "d": "a + 20", "i": 10}, "premises": {"i": 10}, "target": "z"}, "answer": {"steps": [["h", "r + 2", "r + 6"], ["r", "j + 10", "j + 16"], ["j", "c + 11", "c + 27"], ["c", "o + 20", "o + 47"], ["o", "i + 10", "i + 57"], ["i", 10, "67"]], "target_var_name": "z", "target_value": 67, "value_dict": {"i": 10}, "is_reverse": true}}
| 23,300
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = i + 10; d = a + 20; f = i + 10; h = r + 2; a = m + 8; c = o + 20; j = c + 11; m = n + 13; i = 10; z = h + 4; r = j + 10; x = f + 8; n = x + 19. Given that i = 10, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = r + 2 to z, which gives z = r + 6.\n2. Substitute r = j + 10 to z, which gives z = j + 16.\n3. Substitute j = c + 11 to z, which gives z = c + 27.\n4. Substitute c = o + 20 to z, which gives z = o + 47.\n5. Substitute o = i + 10 to z, which gives z = i + 57.\n6. Substitute i = 10 to z, which gives z = 67.\n\nThus, the final answer is z = \\boxed{67}.",
"index": 23300,
"question": "Suppose a collection of variables is related by the following definitions: o = i + 10; d = a + 20; f = i + 10; h = r + 2; a = m + 8; c = o + 20; j = c + 11; m = n + 13; i = 10; z = h + 4; r = j + 10; x = f + 8; n = x + 19. Given that i = 10, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"i": "s + 9", "d": "i + 9", "m": "d + 4", "u": "m + 1", "z": "u + 2", "g": "z + 20", "r": "s + 14", "b": "r + 3", "j": "b + 19", "a": "j + 7", "l": "a + 12", "n": "l + 1", "s": 9}, "premises": {"s": 9}, "target": "g"}, "answer": {"steps": [["z", "u + 2", "u + 22"], ["u", "m + 1", "m + 23"], ["m", "d + 4", "d + 27"], ["d", "i + 9", "i + 36"], ["i", "s + 9", "s + 45"], ["s", 9, "54"]], "target_var_name": "g", "target_value": 54, "value_dict": {"s": 9}, "is_reverse": true}}
| 23,301
| 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 = 9; i = s + 9; m = d + 4; z = u + 2; b = r + 3; d = i + 9; g = z + 20; l = a + 12; a = j + 7; j = b + 19; n = l + 1; r = s + 14; u = m + 1. If s = 9, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = u + 2 to g, which gives g = u + 22.\n2. Substitute u = m + 1 to g, which gives g = m + 23.\n3. Substitute m = d + 4 to g, which gives g = d + 27.\n4. Substitute d = i + 9 to g, which gives g = i + 36.\n5. Substitute i = s + 9 to g, which gives g = s + 45.\n6. Substitute s = 9 to g, which gives g = 54.\n\nThus, the final answer is g = \\boxed{54}.",
"index": 23301,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = 9; i = s + 9; m = d + 4; z = u + 2; b = r + 3; d = i + 9; g = z + 20; l = a + 12; a = j + 7; j = b + 19; n = l + 1; r = s + 14; u = m + 1. If s = 9, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"z": "y + 13", "w": "z + 16", "e": "w + 11", "o": "e + 9", "r": "o + 17", "v": "r + 1", "k": "y + 17", "j": "k + 5", "x": "j + 9", "c": "x + 19", "i": "c + 17", "b": "i + 15", "y": 4}, "premises": {"y": 4}, "target": "v"}, "answer": {"steps": [["r", "o + 17", "o + 18"], ["o", "e + 9", "e + 27"], ["e", "w + 11", "w + 38"], ["w", "z + 16", "z + 54"], ["z", "y + 13", "y + 67"], ["y", 4, "71"]], "target_var_name": "v", "target_value": 71, "value_dict": {"y": 4}, "is_reverse": true}}
| 23,302
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = x + 19; i = c + 17; x = j + 9; e = w + 11; k = y + 17; y = 4; b = i + 15; w = z + 16; z = y + 13; r = o + 17; j = k + 5; v = r + 1; o = e + 9. If y = 4, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = o + 17 to v, which gives v = o + 18.\n2. Substitute o = e + 9 to v, which gives v = e + 27.\n3. Substitute e = w + 11 to v, which gives v = w + 38.\n4. Substitute w = z + 16 to v, which gives v = z + 54.\n5. Substitute z = y + 13 to v, which gives v = y + 67.\n6. Substitute y = 4 to v, which gives v = 71.\n\nThus, the final answer is v = \\boxed{71}.",
"index": 23302,
"question": "Consider a system of variables where each variable is defined as follows: c = x + 19; i = c + 17; x = j + 9; e = w + 11; k = y + 17; y = 4; b = i + 15; w = z + 16; z = y + 13; r = o + 17; j = k + 5; v = r + 1; o = e + 9. If y = 4, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"c": "g + 17", "x": "c + 19", "l": "x + 10", "m": "l + 15", "n": "m + 1", "o": "n + 5", "z": "g + 2", "s": "z + 10", "f": "s + 10", "j": "f + 8", "q": "j + 6", "r": "q + 12", "g": 1}, "premises": {"g": 1}, "target": "o"}, "answer": {"steps": [["n", "m + 1", "m + 6"], ["m", "l + 15", "l + 21"], ["l", "x + 10", "x + 31"], ["x", "c + 19", "c + 50"], ["c", "g + 17", "g + 67"], ["g", 1, "68"]], "target_var_name": "o", "target_value": 68, "value_dict": {"g": 1}, "is_reverse": true}}
| 23,303
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = f + 8; n = m + 1; o = n + 5; x = c + 19; s = z + 10; f = s + 10; m = l + 15; g = 1; c = g + 17; r = q + 12; q = j + 6; z = g + 2; l = x + 10. Given that g = 1, 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 n = m + 1 to o, which gives o = m + 6.\n2. Substitute m = l + 15 to o, which gives o = l + 21.\n3. Substitute l = x + 10 to o, which gives o = x + 31.\n4. Substitute x = c + 19 to o, which gives o = c + 50.\n5. Substitute c = g + 17 to o, which gives o = g + 67.\n6. Substitute g = 1 to o, which gives o = 68.\n\nThus, the final answer is o = \\boxed{68}.",
"index": 23303,
"question": "Suppose a collection of variables is related by the following definitions: j = f + 8; n = m + 1; o = n + 5; x = c + 19; s = z + 10; f = s + 10; m = l + 15; g = 1; c = g + 17; r = q + 12; q = j + 6; z = g + 2; l = x + 10. Given that g = 1, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"d": "j + 18", "o": "d + 6", "c": "o + 4", "u": "c + 1", "z": "u + 13", "m": "z + 15", "v": "j + 16", "x": "v + 10", "b": "x + 5", "f": "b + 15", "k": "f + 5", "q": "k + 17", "j": 12}, "premises": {"j": 12}, "target": "m"}, "answer": {"steps": [["z", "u + 13", "u + 28"], ["u", "c + 1", "c + 29"], ["c", "o + 4", "o + 33"], ["o", "d + 6", "d + 39"], ["d", "j + 18", "j + 57"], ["j", 12, "69"]], "target_var_name": "m", "target_value": 69, "value_dict": {"j": 12}, "is_reverse": true}}
| 23,304
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = k + 17; u = c + 1; x = v + 10; k = f + 5; v = j + 16; z = u + 13; b = x + 5; d = j + 18; j = 12; c = o + 4; o = d + 6; f = b + 15; m = z + 15. If j = 12, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = u + 13 to m, which gives m = u + 28.\n2. Substitute u = c + 1 to m, which gives m = c + 29.\n3. Substitute c = o + 4 to m, which gives m = o + 33.\n4. Substitute o = d + 6 to m, which gives m = d + 39.\n5. Substitute d = j + 18 to m, which gives m = j + 57.\n6. Substitute j = 12 to m, which gives m = 69.\n\nThus, the final answer is m = \\boxed{69}.",
"index": 23304,
"question": "Consider a system of variables where each variable is defined as follows: q = k + 17; u = c + 1; x = v + 10; k = f + 5; v = j + 16; z = u + 13; b = x + 5; d = j + 18; j = 12; c = o + 4; o = d + 6; f = b + 15; m = z + 15. If j = 12, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"n": "c + 3", "s": "n + 2", "j": "s + 1", "k": "j + 20", "z": "k + 5", "a": "z + 15", "o": "c + 5", "p": "o + 20", "x": "p + 13", "r": "x + 14", "f": "r + 20", "v": "f + 14", "c": 2}, "premises": {"c": 2}, "target": "a"}, "answer": {"steps": [["z", "k + 5", "k + 20"], ["k", "j + 20", "j + 40"], ["j", "s + 1", "s + 41"], ["s", "n + 2", "n + 43"], ["n", "c + 3", "c + 46"], ["c", 2, "48"]], "target_var_name": "a", "target_value": 48, "value_dict": {"c": 2}, "is_reverse": true}}
| 23,305
| 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 = x + 14; v = f + 14; f = r + 20; p = o + 20; o = c + 5; x = p + 13; a = z + 15; j = s + 1; c = 2; z = k + 5; s = n + 2; k = j + 20; n = c + 3. If c = 2, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 48,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = k + 5 to a, which gives a = k + 20.\n2. Substitute k = j + 20 to a, which gives a = j + 40.\n3. Substitute j = s + 1 to a, which gives a = s + 41.\n4. Substitute s = n + 2 to a, which gives a = n + 43.\n5. Substitute n = c + 3 to a, which gives a = c + 46.\n6. Substitute c = 2 to a, which gives a = 48.\n\nThus, the final answer is a = \\boxed{48}.",
"index": 23305,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = x + 14; v = f + 14; f = r + 20; p = o + 20; o = c + 5; x = p + 13; a = z + 15; j = s + 1; c = 2; z = k + 5; s = n + 2; k = j + 20; n = c + 3. If c = 2, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"z": "h + 11", "o": "z + 9", "p": "o + 10", "g": "p + 13", "j": "g + 2", "l": "j + 15", "i": "h + 17", "t": "i + 18", "q": "t + 16", "v": "q + 14", "s": "v + 8", "k": "s + 10", "h": 5}, "premises": {"h": 5}, "target": "l"}, "answer": {"steps": [["j", "g + 2", "g + 17"], ["g", "p + 13", "p + 30"], ["p", "o + 10", "o + 40"], ["o", "z + 9", "z + 49"], ["z", "h + 11", "h + 60"], ["h", 5, "65"]], "target_var_name": "l", "target_value": 65, "value_dict": {"h": 5}, "is_reverse": true}}
| 23,306
| 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 + 2; z = h + 11; o = z + 9; i = h + 17; g = p + 13; q = t + 16; s = v + 8; t = i + 18; v = q + 14; p = o + 10; k = s + 10; h = 5; l = j + 15. If h = 5, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = g + 2 to l, which gives l = g + 17.\n2. Substitute g = p + 13 to l, which gives l = p + 30.\n3. Substitute p = o + 10 to l, which gives l = o + 40.\n4. Substitute o = z + 9 to l, which gives l = z + 49.\n5. Substitute z = h + 11 to l, which gives l = h + 60.\n6. Substitute h = 5 to l, which gives l = 65.\n\nThus, the final answer is l = \\boxed{65}.",
"index": 23306,
"question": "Consider a system of variables where each variable is defined as follows: j = g + 2; z = h + 11; o = z + 9; i = h + 17; g = p + 13; q = t + 16; s = v + 8; t = i + 18; v = q + 14; p = o + 10; k = s + 10; h = 5; l = j + 15. If h = 5, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"k": "t + 20", "f": "k + 18", "s": "f + 5", "o": "s + 6", "l": "o + 4", "v": "l + 7", "h": "t + 12", "m": "h + 14", "r": "m + 10", "n": "r + 9", "e": "n + 7", "j": "e + 19", "t": 10}, "premises": {"t": 10}, "target": "v"}, "answer": {"steps": [["l", "o + 4", "o + 11"], ["o", "s + 6", "s + 17"], ["s", "f + 5", "f + 22"], ["f", "k + 18", "k + 40"], ["k", "t + 20", "t + 60"], ["t", 10, "70"]], "target_var_name": "v", "target_value": 70, "value_dict": {"t": 10}, "is_reverse": true}}
| 23,307
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = l + 7; n = r + 9; l = o + 4; s = f + 5; e = n + 7; r = m + 10; j = e + 19; f = k + 18; k = t + 20; h = t + 12; o = s + 6; m = h + 14; t = 10. If t = 10, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = o + 4 to v, which gives v = o + 11.\n2. Substitute o = s + 6 to v, which gives v = s + 17.\n3. Substitute s = f + 5 to v, which gives v = f + 22.\n4. Substitute f = k + 18 to v, which gives v = k + 40.\n5. Substitute k = t + 20 to v, which gives v = t + 60.\n6. Substitute t = 10 to v, which gives v = 70.\n\nThus, the final answer is v = \\boxed{70}.",
"index": 23307,
"question": "Consider a system of variables where each variable is defined as follows: v = l + 7; n = r + 9; l = o + 4; s = f + 5; e = n + 7; r = m + 10; j = e + 19; f = k + 18; k = t + 20; h = t + 12; o = s + 6; m = h + 14; t = 10. If t = 10, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"m": "f + 20", "t": "m + 3", "l": "t + 9", "y": "l + 18", "q": "y + 8", "p": "q + 10", "x": "f + 15", "u": "x + 6", "n": "u + 4", "g": "n + 15", "v": "g + 1", "j": "v + 9", "f": 3}, "premises": {"f": 3}, "target": "p"}, "answer": {"steps": [["q", "y + 8", "y + 18"], ["y", "l + 18", "l + 36"], ["l", "t + 9", "t + 45"], ["t", "m + 3", "m + 48"], ["m", "f + 20", "f + 68"], ["f", 3, "71"]], "target_var_name": "p", "target_value": 71, "value_dict": {"f": 3}, "is_reverse": true}}
| 23,308
| 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 + 15; t = m + 3; m = f + 20; f = 3; v = g + 1; g = n + 15; j = v + 9; l = t + 9; u = x + 6; q = y + 8; p = q + 10; n = u + 4; y = l + 18. If f = 3, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = y + 8 to p, which gives p = y + 18.\n2. Substitute y = l + 18 to p, which gives p = l + 36.\n3. Substitute l = t + 9 to p, which gives p = t + 45.\n4. Substitute t = m + 3 to p, which gives p = m + 48.\n5. Substitute m = f + 20 to p, which gives p = f + 68.\n6. Substitute f = 3 to p, which gives p = 71.\n\nThus, the final answer is p = \\boxed{71}.",
"index": 23308,
"question": "Consider a system of variables where each variable is defined as follows: x = f + 15; t = m + 3; m = f + 20; f = 3; v = g + 1; g = n + 15; j = v + 9; l = t + 9; u = x + 6; q = y + 8; p = q + 10; n = u + 4; y = l + 18. If f = 3, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"i": "r + 9", "c": "i + 13", "p": "c + 10", "e": "p + 14", "x": "e + 18", "q": "x + 9", "u": "r + 12", "f": "u + 11", "s": "f + 17", "l": "s + 13", "t": "l + 14", "g": "t + 6", "r": 19}, "premises": {"r": 19}, "target": "q"}, "answer": {"steps": [["x", "e + 18", "e + 27"], ["e", "p + 14", "p + 41"], ["p", "c + 10", "c + 51"], ["c", "i + 13", "i + 64"], ["i", "r + 9", "r + 73"], ["r", 19, "92"]], "target_var_name": "q", "target_value": 92, "value_dict": {"r": 19}, "is_reverse": true}}
| 23,309
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = r + 9; t = l + 14; p = c + 10; q = x + 9; s = f + 17; l = s + 13; f = u + 11; u = r + 12; e = p + 14; x = e + 18; c = i + 13; r = 19; g = t + 6. Given that r = 19, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = e + 18 to q, which gives q = e + 27.\n2. Substitute e = p + 14 to q, which gives q = p + 41.\n3. Substitute p = c + 10 to q, which gives q = c + 51.\n4. Substitute c = i + 13 to q, which gives q = i + 64.\n5. Substitute i = r + 9 to q, which gives q = r + 73.\n6. Substitute r = 19 to q, which gives q = 92.\n\nThus, the final answer is q = \\boxed{92}.",
"index": 23309,
"question": "Suppose a collection of variables is related by the following definitions: i = r + 9; t = l + 14; p = c + 10; q = x + 9; s = f + 17; l = s + 13; f = u + 11; u = r + 12; e = p + 14; x = e + 18; c = i + 13; r = 19; g = t + 6. Given that r = 19, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"l": "b + 13", "a": "l + 3", "c": "a + 3", "z": "c + 5", "q": "z + 1", "i": "q + 1", "d": "b + 5", "k": "d + 16", "j": "k + 3", "m": "j + 17", "p": "m + 9", "o": "p + 15", "b": 8}, "premises": {"b": 8}, "target": "i"}, "answer": {"steps": [["q", "z + 1", "z + 2"], ["z", "c + 5", "c + 7"], ["c", "a + 3", "a + 10"], ["a", "l + 3", "l + 13"], ["l", "b + 13", "b + 26"], ["b", 8, "34"]], "target_var_name": "i", "target_value": 34, "value_dict": {"b": 8}, "is_reverse": true}}
| 23,310
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = a + 3; a = l + 3; o = p + 15; k = d + 16; p = m + 9; l = b + 13; i = q + 1; j = k + 3; z = c + 5; b = 8; q = z + 1; d = b + 5; m = j + 17. If b = 8, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 34,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = z + 1 to i, which gives i = z + 2.\n2. Substitute z = c + 5 to i, which gives i = c + 7.\n3. Substitute c = a + 3 to i, which gives i = a + 10.\n4. Substitute a = l + 3 to i, which gives i = l + 13.\n5. Substitute l = b + 13 to i, which gives i = b + 26.\n6. Substitute b = 8 to i, which gives i = 34.\n\nThus, the final answer is i = \\boxed{34}.",
"index": 23310,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = a + 3; a = l + 3; o = p + 15; k = d + 16; p = m + 9; l = b + 13; i = q + 1; j = k + 3; z = c + 5; b = 8; q = z + 1; d = b + 5; m = j + 17. If b = 8, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"f": "a + 15", "w": "f + 11", "y": "w + 1", "u": "y + 12", "o": "u + 14", "l": "o + 3", "p": "a + 10", "t": "p + 19", "z": "t + 3", "q": "z + 13", "d": "q + 11", "n": "d + 19", "a": 4}, "premises": {"a": 4}, "target": "l"}, "answer": {"steps": [["o", "u + 14", "u + 17"], ["u", "y + 12", "y + 29"], ["y", "w + 1", "w + 30"], ["w", "f + 11", "f + 41"], ["f", "a + 15", "a + 56"], ["a", 4, "60"]], "target_var_name": "l", "target_value": 60, "value_dict": {"a": 4}, "is_reverse": true}}
| 23,311
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = o + 3; d = q + 11; o = u + 14; u = y + 12; z = t + 3; a = 4; t = p + 19; w = f + 11; n = d + 19; p = a + 10; y = w + 1; q = z + 13; f = a + 15. Given that a = 4, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = u + 14 to l, which gives l = u + 17.\n2. Substitute u = y + 12 to l, which gives l = y + 29.\n3. Substitute y = w + 1 to l, which gives l = w + 30.\n4. Substitute w = f + 11 to l, which gives l = f + 41.\n5. Substitute f = a + 15 to l, which gives l = a + 56.\n6. Substitute a = 4 to l, which gives l = 60.\n\nThus, the final answer is l = \\boxed{60}.",
"index": 23311,
"question": "Suppose a collection of variables is related by the following definitions: l = o + 3; d = q + 11; o = u + 14; u = y + 12; z = t + 3; a = 4; t = p + 19; w = f + 11; n = d + 19; p = a + 10; y = w + 1; q = z + 13; f = a + 15. Given that a = 4, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"q": "c + 10", "o": "q + 2", "z": "o + 20", "b": "z + 13", "t": "b + 1", "l": "t + 8", "x": "c + 10", "s": "x + 16", "f": "s + 11", "a": "f + 1", "p": "a + 8", "y": "p + 18", "c": 14}, "premises": {"c": 14}, "target": "l"}, "answer": {"steps": [["t", "b + 1", "b + 9"], ["b", "z + 13", "z + 22"], ["z", "o + 20", "o + 42"], ["o", "q + 2", "q + 44"], ["q", "c + 10", "c + 54"], ["c", 14, "68"]], "target_var_name": "l", "target_value": 68, "value_dict": {"c": 14}, "is_reverse": true}}
| 23,312
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = b + 1; q = c + 10; x = c + 10; c = 14; f = s + 11; a = f + 1; o = q + 2; p = a + 8; l = t + 8; b = z + 13; s = x + 16; z = o + 20; y = p + 18. If c = 14, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = b + 1 to l, which gives l = b + 9.\n2. Substitute b = z + 13 to l, which gives l = z + 22.\n3. Substitute z = o + 20 to l, which gives l = o + 42.\n4. Substitute o = q + 2 to l, which gives l = q + 44.\n5. Substitute q = c + 10 to l, which gives l = c + 54.\n6. Substitute c = 14 to l, which gives l = 68.\n\nThus, the final answer is l = \\boxed{68}.",
"index": 23312,
"question": "Consider a system of variables where each variable is defined as follows: t = b + 1; q = c + 10; x = c + 10; c = 14; f = s + 11; a = f + 1; o = q + 2; p = a + 8; l = t + 8; b = z + 13; s = x + 16; z = o + 20; y = p + 18. If c = 14, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"g": "v + 6", "d": "g + 1", "m": "d + 1", "j": "m + 15", "q": "j + 19", "c": "q + 14", "y": "v + 12", "i": "y + 1", "t": "i + 19", "b": "t + 13", "f": "b + 20", "k": "f + 20", "v": 10}, "premises": {"v": 10}, "target": "c"}, "answer": {"steps": [["q", "j + 19", "j + 33"], ["j", "m + 15", "m + 48"], ["m", "d + 1", "d + 49"], ["d", "g + 1", "g + 50"], ["g", "v + 6", "v + 56"], ["v", 10, "66"]], "target_var_name": "c", "target_value": 66, "value_dict": {"v": 10}, "is_reverse": true}}
| 23,313
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = b + 20; d = g + 1; g = v + 6; b = t + 13; i = y + 1; c = q + 14; j = m + 15; q = j + 19; k = f + 20; y = v + 12; v = 10; t = i + 19; m = d + 1. Given that v = 10, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = j + 19 to c, which gives c = j + 33.\n2. Substitute j = m + 15 to c, which gives c = m + 48.\n3. Substitute m = d + 1 to c, which gives c = d + 49.\n4. Substitute d = g + 1 to c, which gives c = g + 50.\n5. Substitute g = v + 6 to c, which gives c = v + 56.\n6. Substitute v = 10 to c, which gives c = 66.\n\nThus, the final answer is c = \\boxed{66}.",
"index": 23313,
"question": "Suppose a collection of variables is related by the following definitions: f = b + 20; d = g + 1; g = v + 6; b = t + 13; i = y + 1; c = q + 14; j = m + 15; q = j + 19; k = f + 20; y = v + 12; v = 10; t = i + 19; m = d + 1. Given that v = 10, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"k": "b + 15", "i": "k + 15", "m": "i + 11", "y": "m + 18", "s": "y + 18", "g": "s + 3", "x": "b + 9", "t": "x + 11", "h": "t + 14", "j": "h + 14", "f": "j + 1", "l": "f + 3", "b": 6}, "premises": {"b": 6}, "target": "g"}, "answer": {"steps": [["s", "y + 18", "y + 21"], ["y", "m + 18", "m + 39"], ["m", "i + 11", "i + 50"], ["i", "k + 15", "k + 65"], ["k", "b + 15", "b + 80"], ["b", 6, "86"]], "target_var_name": "g", "target_value": 86, "value_dict": {"b": 6}, "is_reverse": true}}
| 23,314
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = h + 14; t = x + 11; x = b + 9; k = b + 15; i = k + 15; h = t + 14; b = 6; m = i + 11; f = j + 1; g = s + 3; s = y + 18; y = m + 18; l = f + 3. If b = 6, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = y + 18 to g, which gives g = y + 21.\n2. Substitute y = m + 18 to g, which gives g = m + 39.\n3. Substitute m = i + 11 to g, which gives g = i + 50.\n4. Substitute i = k + 15 to g, which gives g = k + 65.\n5. Substitute k = b + 15 to g, which gives g = b + 80.\n6. Substitute b = 6 to g, which gives g = 86.\n\nThus, the final answer is g = \\boxed{86}.",
"index": 23314,
"question": "Consider a system of variables where each variable is defined as follows: j = h + 14; t = x + 11; x = b + 9; k = b + 15; i = k + 15; h = t + 14; b = 6; m = i + 11; f = j + 1; g = s + 3; s = y + 18; y = m + 18; l = f + 3. If b = 6, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"l": "j + 6", "c": "l + 9", "b": "c + 1", "t": "b + 11", "m": "t + 17", "f": "m + 15", "w": "j + 17", "d": "w + 13", "n": "d + 10", "r": "n + 12", "x": "r + 1", "k": "x + 10", "j": 11}, "premises": {"j": 11}, "target": "f"}, "answer": {"steps": [["m", "t + 17", "t + 32"], ["t", "b + 11", "b + 43"], ["b", "c + 1", "c + 44"], ["c", "l + 9", "l + 53"], ["l", "j + 6", "j + 59"], ["j", 11, "70"]], "target_var_name": "f", "target_value": 70, "value_dict": {"j": 11}, "is_reverse": true}}
| 23,315
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = l + 9; k = x + 10; d = w + 13; x = r + 1; r = n + 12; w = j + 17; f = m + 15; t = b + 11; b = c + 1; m = t + 17; j = 11; l = j + 6; n = d + 10. If j = 11, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = t + 17 to f, which gives f = t + 32.\n2. Substitute t = b + 11 to f, which gives f = b + 43.\n3. Substitute b = c + 1 to f, which gives f = c + 44.\n4. Substitute c = l + 9 to f, which gives f = l + 53.\n5. Substitute l = j + 6 to f, which gives f = j + 59.\n6. Substitute j = 11 to f, which gives f = 70.\n\nThus, the final answer is f = \\boxed{70}.",
"index": 23315,
"question": "Consider a system of variables where each variable is defined as follows: c = l + 9; k = x + 10; d = w + 13; x = r + 1; r = n + 12; w = j + 17; f = m + 15; t = b + 11; b = c + 1; m = t + 17; j = 11; l = j + 6; n = d + 10. If j = 11, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"f": "e + 1", "s": "f + 7", "z": "s + 19", "v": "z + 8", "k": "v + 9", "m": "k + 18", "q": "e + 3", "u": "q + 6", "l": "u + 8", "i": "l + 9", "n": "i + 14", "t": "n + 4", "e": 10}, "premises": {"e": 10}, "target": "m"}, "answer": {"steps": [["k", "v + 9", "v + 27"], ["v", "z + 8", "z + 35"], ["z", "s + 19", "s + 54"], ["s", "f + 7", "f + 61"], ["f", "e + 1", "e + 62"], ["e", 10, "72"]], "target_var_name": "m", "target_value": 72, "value_dict": {"e": 10}, "is_reverse": true}}
| 23,316
| 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 = k + 18; f = e + 1; i = l + 9; k = v + 9; n = i + 14; z = s + 19; u = q + 6; s = f + 7; l = u + 8; e = 10; q = e + 3; v = z + 8; t = n + 4. If e = 10, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = v + 9 to m, which gives m = v + 27.\n2. Substitute v = z + 8 to m, which gives m = z + 35.\n3. Substitute z = s + 19 to m, which gives m = s + 54.\n4. Substitute s = f + 7 to m, which gives m = f + 61.\n5. Substitute f = e + 1 to m, which gives m = e + 62.\n6. Substitute e = 10 to m, which gives m = 72.\n\nThus, the final answer is m = \\boxed{72}.",
"index": 23316,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = k + 18; f = e + 1; i = l + 9; k = v + 9; n = i + 14; z = s + 19; u = q + 6; s = f + 7; l = u + 8; e = 10; q = e + 3; v = z + 8; t = n + 4. If e = 10, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"t": "n + 15", "x": "t + 1", "z": "x + 17", "j": "z + 12", "e": "j + 14", "s": "e + 1", "g": "n + 4", "k": "g + 8", "r": "k + 16", "v": "r + 12", "p": "v + 14", "o": "p + 18", "n": 12}, "premises": {"n": 12}, "target": "s"}, "answer": {"steps": [["e", "j + 14", "j + 15"], ["j", "z + 12", "z + 27"], ["z", "x + 17", "x + 44"], ["x", "t + 1", "t + 45"], ["t", "n + 15", "n + 60"], ["n", 12, "72"]], "target_var_name": "s", "target_value": 72, "value_dict": {"n": 12}, "is_reverse": true}}
| 23,317
| 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 = e + 1; k = g + 8; z = x + 17; j = z + 12; t = n + 15; v = r + 12; n = 12; g = n + 4; x = t + 1; r = k + 16; e = j + 14; p = v + 14; o = p + 18. If n = 12, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = j + 14 to s, which gives s = j + 15.\n2. Substitute j = z + 12 to s, which gives s = z + 27.\n3. Substitute z = x + 17 to s, which gives s = x + 44.\n4. Substitute x = t + 1 to s, which gives s = t + 45.\n5. Substitute t = n + 15 to s, which gives s = n + 60.\n6. Substitute n = 12 to s, which gives s = 72.\n\nThus, the final answer is s = \\boxed{72}.",
"index": 23317,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = e + 1; k = g + 8; z = x + 17; j = z + 12; t = n + 15; v = r + 12; n = 12; g = n + 4; x = t + 1; r = k + 16; e = j + 14; p = v + 14; o = p + 18. If n = 12, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"f": "e + 5", "q": "f + 2", "d": "q + 7", "o": "d + 11", "s": "o + 15", "a": "s + 2", "l": "e + 4", "r": "l + 19", "y": "r + 19", "b": "y + 14", "z": "b + 18", "t": "z + 9", "e": 17}, "premises": {"e": 17}, "target": "a"}, "answer": {"steps": [["s", "o + 15", "o + 17"], ["o", "d + 11", "d + 28"], ["d", "q + 7", "q + 35"], ["q", "f + 2", "f + 37"], ["f", "e + 5", "e + 42"], ["e", 17, "59"]], "target_var_name": "a", "target_value": 59, "value_dict": {"e": 17}, "is_reverse": true}}
| 23,318
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = q + 7; z = b + 18; f = e + 5; y = r + 19; a = s + 2; r = l + 19; s = o + 15; b = y + 14; e = 17; l = e + 4; o = d + 11; t = z + 9; q = f + 2. If e = 17, determine 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 s = o + 15 to a, which gives a = o + 17.\n2. Substitute o = d + 11 to a, which gives a = d + 28.\n3. Substitute d = q + 7 to a, which gives a = q + 35.\n4. Substitute q = f + 2 to a, which gives a = f + 37.\n5. Substitute f = e + 5 to a, which gives a = e + 42.\n6. Substitute e = 17 to a, which gives a = 59.\n\nThus, the final answer is a = \\boxed{59}.",
"index": 23318,
"question": "Consider a system of variables where each variable is defined as follows: d = q + 7; z = b + 18; f = e + 5; y = r + 19; a = s + 2; r = l + 19; s = o + 15; b = y + 14; e = 17; l = e + 4; o = d + 11; t = z + 9; q = f + 2. If e = 17, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"d": "k + 4", "x": "d + 17", "o": "x + 1", "c": "o + 18", "l": "c + 15", "r": "l + 15", "u": "k + 10", "a": "u + 7", "t": "a + 11", "j": "t + 18", "q": "j + 20", "y": "q + 6", "k": 5}, "premises": {"k": 5}, "target": "r"}, "answer": {"steps": [["l", "c + 15", "c + 30"], ["c", "o + 18", "o + 48"], ["o", "x + 1", "x + 49"], ["x", "d + 17", "d + 66"], ["d", "k + 4", "k + 70"], ["k", 5, "75"]], "target_var_name": "r", "target_value": 75, "value_dict": {"k": 5}, "is_reverse": true}}
| 23,319
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = q + 6; l = c + 15; c = o + 18; a = u + 7; o = x + 1; q = j + 20; k = 5; x = d + 17; d = k + 4; r = l + 15; t = a + 11; j = t + 18; u = k + 10. Given that k = 5, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = c + 15 to r, which gives r = c + 30.\n2. Substitute c = o + 18 to r, which gives r = o + 48.\n3. Substitute o = x + 1 to r, which gives r = x + 49.\n4. Substitute x = d + 17 to r, which gives r = d + 66.\n5. Substitute d = k + 4 to r, which gives r = k + 70.\n6. Substitute k = 5 to r, which gives r = 75.\n\nThus, the final answer is r = \\boxed{75}.",
"index": 23319,
"question": "Suppose a collection of variables is related by the following definitions: y = q + 6; l = c + 15; c = o + 18; a = u + 7; o = x + 1; q = j + 20; k = 5; x = d + 17; d = k + 4; r = l + 15; t = a + 11; j = t + 18; u = k + 10. Given that k = 5, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"w": "k + 14", "l": "w + 4", "e": "l + 3", "v": "e + 11", "y": "v + 5", "g": "y + 8", "c": "k + 8", "r": "c + 16", "u": "r + 1", "a": "u + 20", "h": "a + 16", "f": "h + 17", "k": 4}, "premises": {"k": 4}, "target": "g"}, "answer": {"steps": [["y", "v + 5", "v + 13"], ["v", "e + 11", "e + 24"], ["e", "l + 3", "l + 27"], ["l", "w + 4", "w + 31"], ["w", "k + 14", "k + 45"], ["k", 4, "49"]], "target_var_name": "g", "target_value": 49, "value_dict": {"k": 4}, "is_reverse": true}}
| 23,320
| 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 = v + 5; c = k + 8; r = c + 16; l = w + 4; w = k + 14; e = l + 3; k = 4; h = a + 16; v = e + 11; f = h + 17; g = y + 8; u = r + 1; a = u + 20. If k = 4, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = v + 5 to g, which gives g = v + 13.\n2. Substitute v = e + 11 to g, which gives g = e + 24.\n3. Substitute e = l + 3 to g, which gives g = l + 27.\n4. Substitute l = w + 4 to g, which gives g = w + 31.\n5. Substitute w = k + 14 to g, which gives g = k + 45.\n6. Substitute k = 4 to g, which gives g = 49.\n\nThus, the final answer is g = \\boxed{49}.",
"index": 23320,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = v + 5; c = k + 8; r = c + 16; l = w + 4; w = k + 14; e = l + 3; k = 4; h = a + 16; v = e + 11; f = h + 17; g = y + 8; u = r + 1; a = u + 20. If k = 4, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"n": "i + 8", "o": "n + 5", "p": "o + 5", "h": "p + 15", "x": "h + 10", "g": "x + 15", "f": "i + 6", "u": "f + 7", "m": "u + 3", "z": "m + 14", "k": "z + 4", "d": "k + 17", "i": 11}, "premises": {"i": 11}, "target": "g"}, "answer": {"steps": [["x", "h + 10", "h + 25"], ["h", "p + 15", "p + 40"], ["p", "o + 5", "o + 45"], ["o", "n + 5", "n + 50"], ["n", "i + 8", "i + 58"], ["i", 11, "69"]], "target_var_name": "g", "target_value": 69, "value_dict": {"i": 11}, "is_reverse": true}}
| 23,321
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = i + 8; u = f + 7; p = o + 5; g = x + 15; m = u + 3; d = k + 17; f = i + 6; i = 11; x = h + 10; h = p + 15; z = m + 14; o = n + 5; k = z + 4. Given that i = 11, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = h + 10 to g, which gives g = h + 25.\n2. Substitute h = p + 15 to g, which gives g = p + 40.\n3. Substitute p = o + 5 to g, which gives g = o + 45.\n4. Substitute o = n + 5 to g, which gives g = n + 50.\n5. Substitute n = i + 8 to g, which gives g = i + 58.\n6. Substitute i = 11 to g, which gives g = 69.\n\nThus, the final answer is g = \\boxed{69}.",
"index": 23321,
"question": "Suppose a collection of variables is related by the following definitions: n = i + 8; u = f + 7; p = o + 5; g = x + 15; m = u + 3; d = k + 17; f = i + 6; i = 11; x = h + 10; h = p + 15; z = m + 14; o = n + 5; k = z + 4. Given that i = 11, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"g": "b + 15", "z": "g + 9", "m": "z + 1", "j": "m + 2", "w": "j + 8", "k": "w + 20", "y": "b + 18", "q": "y + 18", "d": "q + 15", "o": "d + 11", "f": "o + 5", "u": "f + 16", "b": 18}, "premises": {"b": 18}, "target": "k"}, "answer": {"steps": [["w", "j + 8", "j + 28"], ["j", "m + 2", "m + 30"], ["m", "z + 1", "z + 31"], ["z", "g + 9", "g + 40"], ["g", "b + 15", "b + 55"], ["b", 18, "73"]], "target_var_name": "k", "target_value": 73, "value_dict": {"b": 18}, "is_reverse": true}}
| 23,322
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = b + 18; o = d + 11; z = g + 9; w = j + 8; b = 18; j = m + 2; u = f + 16; f = o + 5; g = b + 15; m = z + 1; d = q + 15; q = y + 18; k = w + 20. If b = 18, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = j + 8 to k, which gives k = j + 28.\n2. Substitute j = m + 2 to k, which gives k = m + 30.\n3. Substitute m = z + 1 to k, which gives k = z + 31.\n4. Substitute z = g + 9 to k, which gives k = g + 40.\n5. Substitute g = b + 15 to k, which gives k = b + 55.\n6. Substitute b = 18 to k, which gives k = 73.\n\nThus, the final answer is k = \\boxed{73}.",
"index": 23322,
"question": "Consider a system of variables where each variable is defined as follows: y = b + 18; o = d + 11; z = g + 9; w = j + 8; b = 18; j = m + 2; u = f + 16; f = o + 5; g = b + 15; m = z + 1; d = q + 15; q = y + 18; k = w + 20. If b = 18, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"k": "p + 15", "e": "k + 14", "v": "e + 9", "y": "v + 7", "r": "y + 6", "l": "r + 18", "c": "p + 8", "u": "c + 10", "b": "u + 6", "s": "b + 3", "q": "s + 6", "x": "q + 14", "p": 12}, "premises": {"p": 12}, "target": "l"}, "answer": {"steps": [["r", "y + 6", "y + 24"], ["y", "v + 7", "v + 31"], ["v", "e + 9", "e + 40"], ["e", "k + 14", "k + 54"], ["k", "p + 15", "p + 69"], ["p", 12, "81"]], "target_var_name": "l", "target_value": 81, "value_dict": {"p": 12}, "is_reverse": true}}
| 23,323
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = e + 9; y = v + 7; s = b + 3; e = k + 14; p = 12; b = u + 6; x = q + 14; r = y + 6; c = p + 8; l = r + 18; k = p + 15; u = c + 10; q = s + 6. If p = 12, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = y + 6 to l, which gives l = y + 24.\n2. Substitute y = v + 7 to l, which gives l = v + 31.\n3. Substitute v = e + 9 to l, which gives l = e + 40.\n4. Substitute e = k + 14 to l, which gives l = k + 54.\n5. Substitute k = p + 15 to l, which gives l = p + 69.\n6. Substitute p = 12 to l, which gives l = 81.\n\nThus, the final answer is l = \\boxed{81}.",
"index": 23323,
"question": "Consider a system of variables where each variable is defined as follows: v = e + 9; y = v + 7; s = b + 3; e = k + 14; p = 12; b = u + 6; x = q + 14; r = y + 6; c = p + 8; l = r + 18; k = p + 15; u = c + 10; q = s + 6. If p = 12, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"w": "o + 1", "r": "w + 5", "d": "r + 17", "h": "d + 18", "l": "h + 19", "g": "l + 16", "c": "o + 15", "a": "c + 10", "v": "a + 6", "s": "v + 10", "m": "s + 3", "i": "m + 18", "o": 14}, "premises": {"o": 14}, "target": "g"}, "answer": {"steps": [["l", "h + 19", "h + 35"], ["h", "d + 18", "d + 53"], ["d", "r + 17", "r + 70"], ["r", "w + 5", "w + 75"], ["w", "o + 1", "o + 76"], ["o", 14, "90"]], "target_var_name": "g", "target_value": 90, "value_dict": {"o": 14}, "is_reverse": true}}
| 23,324
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = s + 3; s = v + 10; a = c + 10; w = o + 1; l = h + 19; r = w + 5; i = m + 18; h = d + 18; g = l + 16; d = r + 17; v = a + 6; o = 14; c = o + 15. Given that o = 14, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = h + 19 to g, which gives g = h + 35.\n2. Substitute h = d + 18 to g, which gives g = d + 53.\n3. Substitute d = r + 17 to g, which gives g = r + 70.\n4. Substitute r = w + 5 to g, which gives g = w + 75.\n5. Substitute w = o + 1 to g, which gives g = o + 76.\n6. Substitute o = 14 to g, which gives g = 90.\n\nThus, the final answer is g = \\boxed{90}.",
"index": 23324,
"question": "Suppose a collection of variables is related by the following definitions: m = s + 3; s = v + 10; a = c + 10; w = o + 1; l = h + 19; r = w + 5; i = m + 18; h = d + 18; g = l + 16; d = r + 17; v = a + 6; o = 14; c = o + 15. Given that o = 14, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"a": "b + 15", "h": "a + 10", "n": "h + 8", "l": "n + 4", "r": "l + 4", "o": "r + 19", "j": "b + 13", "k": "j + 17", "z": "k + 14", "c": "z + 14", "v": "c + 10", "m": "v + 13", "b": 5}, "premises": {"b": 5}, "target": "o"}, "answer": {"steps": [["r", "l + 4", "l + 23"], ["l", "n + 4", "n + 27"], ["n", "h + 8", "h + 35"], ["h", "a + 10", "a + 45"], ["a", "b + 15", "b + 60"], ["b", 5, "65"]], "target_var_name": "o", "target_value": 65, "value_dict": {"b": 5}, "is_reverse": true}}
| 23,325
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = v + 13; z = k + 14; v = c + 10; k = j + 17; a = b + 15; c = z + 14; o = r + 19; j = b + 13; n = h + 8; b = 5; l = n + 4; h = a + 10; r = l + 4. Given that b = 5, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = l + 4 to o, which gives o = l + 23.\n2. Substitute l = n + 4 to o, which gives o = n + 27.\n3. Substitute n = h + 8 to o, which gives o = h + 35.\n4. Substitute h = a + 10 to o, which gives o = a + 45.\n5. Substitute a = b + 15 to o, which gives o = b + 60.\n6. Substitute b = 5 to o, which gives o = 65.\n\nThus, the final answer is o = \\boxed{65}.",
"index": 23325,
"question": "Suppose a collection of variables is related by the following definitions: m = v + 13; z = k + 14; v = c + 10; k = j + 17; a = b + 15; c = z + 14; o = r + 19; j = b + 13; n = h + 8; b = 5; l = n + 4; h = a + 10; r = l + 4. Given that b = 5, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"u": "g + 12", "c": "u + 5", "a": "c + 11", "x": "a + 6", "e": "x + 17", "l": "e + 3", "k": "g + 9", "n": "k + 14", "v": "n + 16", "w": "v + 1", "z": "w + 4", "s": "z + 6", "g": 20}, "premises": {"g": 20}, "target": "l"}, "answer": {"steps": [["e", "x + 17", "x + 20"], ["x", "a + 6", "a + 26"], ["a", "c + 11", "c + 37"], ["c", "u + 5", "u + 42"], ["u", "g + 12", "g + 54"], ["g", 20, "74"]], "target_var_name": "l", "target_value": 74, "value_dict": {"g": 20}, "is_reverse": true}}
| 23,326
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = g + 12; a = c + 11; w = v + 1; z = w + 4; c = u + 5; x = a + 6; k = g + 9; n = k + 14; s = z + 6; e = x + 17; l = e + 3; g = 20; v = n + 16. If g = 20, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = x + 17 to l, which gives l = x + 20.\n2. Substitute x = a + 6 to l, which gives l = a + 26.\n3. Substitute a = c + 11 to l, which gives l = c + 37.\n4. Substitute c = u + 5 to l, which gives l = u + 42.\n5. Substitute u = g + 12 to l, which gives l = g + 54.\n6. Substitute g = 20 to l, which gives l = 74.\n\nThus, the final answer is l = \\boxed{74}.",
"index": 23326,
"question": "Consider a system of variables where each variable is defined as follows: u = g + 12; a = c + 11; w = v + 1; z = w + 4; c = u + 5; x = a + 6; k = g + 9; n = k + 14; s = z + 6; e = x + 17; l = e + 3; g = 20; v = n + 16. If g = 20, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"m": "j + 1", "r": "m + 4", "l": "r + 12", "d": "l + 20", "i": "d + 8", "x": "i + 19", "e": "j + 6", "v": "e + 6", "b": "v + 18", "s": "b + 20", "u": "s + 6", "z": "u + 2", "j": 9}, "premises": {"j": 9}, "target": "x"}, "answer": {"steps": [["i", "d + 8", "d + 27"], ["d", "l + 20", "l + 47"], ["l", "r + 12", "r + 59"], ["r", "m + 4", "m + 63"], ["m", "j + 1", "j + 64"], ["j", 9, "73"]], "target_var_name": "x", "target_value": 73, "value_dict": {"j": 9}, "is_reverse": true}}
| 23,327
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = u + 2; e = j + 6; v = e + 6; b = v + 18; u = s + 6; j = 9; r = m + 4; x = i + 19; i = d + 8; s = b + 20; l = r + 12; m = j + 1; d = l + 20. Given that j = 9, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = d + 8 to x, which gives x = d + 27.\n2. Substitute d = l + 20 to x, which gives x = l + 47.\n3. Substitute l = r + 12 to x, which gives x = r + 59.\n4. Substitute r = m + 4 to x, which gives x = m + 63.\n5. Substitute m = j + 1 to x, which gives x = j + 64.\n6. Substitute j = 9 to x, which gives x = 73.\n\nThus, the final answer is x = \\boxed{73}.",
"index": 23327,
"question": "Suppose a collection of variables is related by the following definitions: z = u + 2; e = j + 6; v = e + 6; b = v + 18; u = s + 6; j = 9; r = m + 4; x = i + 19; i = d + 8; s = b + 20; l = r + 12; m = j + 1; d = l + 20. Given that j = 9, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"w": "d + 19", "p": "w + 12", "q": "p + 18", "m": "q + 8", "z": "m + 4", "e": "z + 9", "y": "d + 17", "x": "y + 14", "t": "x + 16", "a": "t + 20", "j": "a + 11", "h": "j + 13", "d": 19}, "premises": {"d": 19}, "target": "e"}, "answer": {"steps": [["z", "m + 4", "m + 13"], ["m", "q + 8", "q + 21"], ["q", "p + 18", "p + 39"], ["p", "w + 12", "w + 51"], ["w", "d + 19", "d + 70"], ["d", 19, "89"]], "target_var_name": "e", "target_value": 89, "value_dict": {"d": 19}, "is_reverse": true}}
| 23,328
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = m + 4; y = d + 17; x = y + 14; m = q + 8; j = a + 11; p = w + 12; e = z + 9; t = x + 16; q = p + 18; w = d + 19; a = t + 20; h = j + 13; d = 19. If d = 19, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = m + 4 to e, which gives e = m + 13.\n2. Substitute m = q + 8 to e, which gives e = q + 21.\n3. Substitute q = p + 18 to e, which gives e = p + 39.\n4. Substitute p = w + 12 to e, which gives e = w + 51.\n5. Substitute w = d + 19 to e, which gives e = d + 70.\n6. Substitute d = 19 to e, which gives e = 89.\n\nThus, the final answer is e = \\boxed{89}.",
"index": 23328,
"question": "Consider a system of variables where each variable is defined as follows: z = m + 4; y = d + 17; x = y + 14; m = q + 8; j = a + 11; p = w + 12; e = z + 9; t = x + 16; q = p + 18; w = d + 19; a = t + 20; h = j + 13; d = 19. If d = 19, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"u": "z + 14", "y": "u + 7", "n": "y + 9", "h": "n + 6", "m": "h + 12", "l": "m + 8", "c": "z + 13", "v": "c + 7", "k": "v + 11", "b": "k + 12", "r": "b + 6", "x": "r + 2", "z": 12}, "premises": {"z": 12}, "target": "l"}, "answer": {"steps": [["m", "h + 12", "h + 20"], ["h", "n + 6", "n + 26"], ["n", "y + 9", "y + 35"], ["y", "u + 7", "u + 42"], ["u", "z + 14", "z + 56"], ["z", 12, "68"]], "target_var_name": "l", "target_value": 68, "value_dict": {"z": 12}, "is_reverse": true}}
| 23,329
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = z + 14; x = r + 2; l = m + 8; r = b + 6; h = n + 6; k = v + 11; n = y + 9; b = k + 12; c = z + 13; z = 12; v = c + 7; y = u + 7; m = h + 12. Given that z = 12, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = h + 12 to l, which gives l = h + 20.\n2. Substitute h = n + 6 to l, which gives l = n + 26.\n3. Substitute n = y + 9 to l, which gives l = y + 35.\n4. Substitute y = u + 7 to l, which gives l = u + 42.\n5. Substitute u = z + 14 to l, which gives l = z + 56.\n6. Substitute z = 12 to l, which gives l = 68.\n\nThus, the final answer is l = \\boxed{68}.",
"index": 23329,
"question": "Suppose a collection of variables is related by the following definitions: u = z + 14; x = r + 2; l = m + 8; r = b + 6; h = n + 6; k = v + 11; n = y + 9; b = k + 12; c = z + 13; z = 12; v = c + 7; y = u + 7; m = h + 12. Given that z = 12, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"l": "z + 20", "c": "l + 13", "k": "c + 5", "b": "k + 1", "i": "b + 7", "s": "i + 6", "r": "z + 8", "n": "r + 20", "x": "n + 4", "m": "x + 10", "q": "m + 16", "a": "q + 16", "z": 10}, "premises": {"z": 10}, "target": "s"}, "answer": {"steps": [["i", "b + 7", "b + 13"], ["b", "k + 1", "k + 14"], ["k", "c + 5", "c + 19"], ["c", "l + 13", "l + 32"], ["l", "z + 20", "z + 52"], ["z", 10, "62"]], "target_var_name": "s", "target_value": 62, "value_dict": {"z": 10}, "is_reverse": true}}
| 23,330
| 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 + 20; b = k + 1; c = l + 13; a = q + 16; z = 10; q = m + 16; r = z + 8; l = z + 20; x = n + 4; k = c + 5; m = x + 10; s = i + 6; i = b + 7. If z = 10, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = b + 7 to s, which gives s = b + 13.\n2. Substitute b = k + 1 to s, which gives s = k + 14.\n3. Substitute k = c + 5 to s, which gives s = c + 19.\n4. Substitute c = l + 13 to s, which gives s = l + 32.\n5. Substitute l = z + 20 to s, which gives s = z + 52.\n6. Substitute z = 10 to s, which gives s = 62.\n\nThus, the final answer is s = \\boxed{62}.",
"index": 23330,
"question": "Consider a system of variables where each variable is defined as follows: n = r + 20; b = k + 1; c = l + 13; a = q + 16; z = 10; q = m + 16; r = z + 8; l = z + 20; x = n + 4; k = c + 5; m = x + 10; s = i + 6; i = b + 7. If z = 10, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"d": "w + 18", "v": "d + 9", "c": "v + 5", "t": "c + 7", "b": "t + 7", "s": "b + 11", "z": "w + 13", "n": "z + 7", "h": "n + 19", "e": "h + 10", "l": "e + 1", "o": "l + 11", "w": 14}, "premises": {"w": 14}, "target": "s"}, "answer": {"steps": [["b", "t + 7", "t + 18"], ["t", "c + 7", "c + 25"], ["c", "v + 5", "v + 30"], ["v", "d + 9", "d + 39"], ["d", "w + 18", "w + 57"], ["w", 14, "71"]], "target_var_name": "s", "target_value": 71, "value_dict": {"w": 14}, "is_reverse": true}}
| 23,331
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = b + 11; v = d + 9; l = e + 1; e = h + 10; z = w + 13; h = n + 19; o = l + 11; c = v + 5; d = w + 18; n = z + 7; t = c + 7; b = t + 7; w = 14. If w = 14, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = t + 7 to s, which gives s = t + 18.\n2. Substitute t = c + 7 to s, which gives s = c + 25.\n3. Substitute c = v + 5 to s, which gives s = v + 30.\n4. Substitute v = d + 9 to s, which gives s = d + 39.\n5. Substitute d = w + 18 to s, which gives s = w + 57.\n6. Substitute w = 14 to s, which gives s = 71.\n\nThus, the final answer is s = \\boxed{71}.",
"index": 23331,
"question": "Consider a system of variables where each variable is defined as follows: s = b + 11; v = d + 9; l = e + 1; e = h + 10; z = w + 13; h = n + 19; o = l + 11; c = v + 5; d = w + 18; n = z + 7; t = c + 7; b = t + 7; w = 14. If w = 14, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"i": "c + 14", "j": "i + 11", "s": "j + 10", "z": "s + 2", "q": "z + 15", "k": "q + 15", "x": "c + 15", "b": "x + 15", "v": "b + 18", "o": "v + 11", "g": "o + 13", "n": "g + 18", "c": 11}, "premises": {"c": 11}, "target": "k"}, "answer": {"steps": [["q", "z + 15", "z + 30"], ["z", "s + 2", "s + 32"], ["s", "j + 10", "j + 42"], ["j", "i + 11", "i + 53"], ["i", "c + 14", "c + 67"], ["c", 11, "78"]], "target_var_name": "k", "target_value": 78, "value_dict": {"c": 11}, "is_reverse": true}}
| 23,332
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = z + 15; n = g + 18; o = v + 11; b = x + 15; c = 11; i = c + 14; v = b + 18; j = i + 11; z = s + 2; k = q + 15; s = j + 10; g = o + 13; x = c + 15. If c = 11, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = z + 15 to k, which gives k = z + 30.\n2. Substitute z = s + 2 to k, which gives k = s + 32.\n3. Substitute s = j + 10 to k, which gives k = j + 42.\n4. Substitute j = i + 11 to k, which gives k = i + 53.\n5. Substitute i = c + 14 to k, which gives k = c + 67.\n6. Substitute c = 11 to k, which gives k = 78.\n\nThus, the final answer is k = \\boxed{78}.",
"index": 23332,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = z + 15; n = g + 18; o = v + 11; b = x + 15; c = 11; i = c + 14; v = b + 18; j = i + 11; z = s + 2; k = q + 15; s = j + 10; g = o + 13; x = c + 15. If c = 11, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"i": "z + 7", "k": "i + 10", "a": "k + 16", "b": "a + 7", "s": "b + 14", "f": "s + 6", "t": "z + 13", "o": "t + 16", "d": "o + 5", "u": "d + 1", "q": "u + 20", "g": "q + 1", "z": 18}, "premises": {"z": 18}, "target": "f"}, "answer": {"steps": [["s", "b + 14", "b + 20"], ["b", "a + 7", "a + 27"], ["a", "k + 16", "k + 43"], ["k", "i + 10", "i + 53"], ["i", "z + 7", "z + 60"], ["z", 18, "78"]], "target_var_name": "f", "target_value": 78, "value_dict": {"z": 18}, "is_reverse": true}}
| 23,333
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = u + 20; k = i + 10; g = q + 1; s = b + 14; t = z + 13; u = d + 1; o = t + 16; f = s + 6; i = z + 7; b = a + 7; a = k + 16; z = 18; d = o + 5. If z = 18, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = b + 14 to f, which gives f = b + 20.\n2. Substitute b = a + 7 to f, which gives f = a + 27.\n3. Substitute a = k + 16 to f, which gives f = k + 43.\n4. Substitute k = i + 10 to f, which gives f = i + 53.\n5. Substitute i = z + 7 to f, which gives f = z + 60.\n6. Substitute z = 18 to f, which gives f = 78.\n\nThus, the final answer is f = \\boxed{78}.",
"index": 23333,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = u + 20; k = i + 10; g = q + 1; s = b + 14; t = z + 13; u = d + 1; o = t + 16; f = s + 6; i = z + 7; b = a + 7; a = k + 16; z = 18; d = o + 5. If z = 18, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"i": "g + 14", "w": "i + 15", "l": "w + 20", "y": "l + 14", "t": "y + 18", "f": "t + 2", "h": "g + 19", "j": "h + 7", "x": "j + 12", "s": "x + 16", "n": "s + 8", "m": "n + 10", "g": 13}, "premises": {"g": 13}, "target": "f"}, "answer": {"steps": [["t", "y + 18", "y + 20"], ["y", "l + 14", "l + 34"], ["l", "w + 20", "w + 54"], ["w", "i + 15", "i + 69"], ["i", "g + 14", "g + 83"], ["g", 13, "96"]], "target_var_name": "f", "target_value": 96, "value_dict": {"g": 13}, "is_reverse": true}}
| 23,334
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = g + 19; j = h + 7; w = i + 15; i = g + 14; y = l + 14; s = x + 16; g = 13; x = j + 12; n = s + 8; f = t + 2; t = y + 18; m = n + 10; l = w + 20. Given that g = 13, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 96,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = y + 18 to f, which gives f = y + 20.\n2. Substitute y = l + 14 to f, which gives f = l + 34.\n3. Substitute l = w + 20 to f, which gives f = w + 54.\n4. Substitute w = i + 15 to f, which gives f = i + 69.\n5. Substitute i = g + 14 to f, which gives f = g + 83.\n6. Substitute g = 13 to f, which gives f = 96.\n\nThus, the final answer is f = \\boxed{96}.",
"index": 23334,
"question": "Suppose a collection of variables is related by the following definitions: h = g + 19; j = h + 7; w = i + 15; i = g + 14; y = l + 14; s = x + 16; g = 13; x = j + 12; n = s + 8; f = t + 2; t = y + 18; m = n + 10; l = w + 20. Given that g = 13, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"d": "c + 15", "x": "d + 7", "j": "x + 14", "z": "j + 15", "s": "z + 5", "p": "s + 15", "h": "c + 1", "v": "h + 1", "o": "v + 15", "u": "o + 16", "g": "u + 1", "b": "g + 15", "c": 9}, "premises": {"c": 9}, "target": "p"}, "answer": {"steps": [["s", "z + 5", "z + 20"], ["z", "j + 15", "j + 35"], ["j", "x + 14", "x + 49"], ["x", "d + 7", "d + 56"], ["d", "c + 15", "c + 71"], ["c", 9, "80"]], "target_var_name": "p", "target_value": 80, "value_dict": {"c": 9}, "is_reverse": true}}
| 23,335
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = c + 15; b = g + 15; c = 9; s = z + 5; j = x + 14; v = h + 1; h = c + 1; u = o + 16; p = s + 15; x = d + 7; z = j + 15; o = v + 15; g = u + 1. If c = 9, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = z + 5 to p, which gives p = z + 20.\n2. Substitute z = j + 15 to p, which gives p = j + 35.\n3. Substitute j = x + 14 to p, which gives p = x + 49.\n4. Substitute x = d + 7 to p, which gives p = d + 56.\n5. Substitute d = c + 15 to p, which gives p = c + 71.\n6. Substitute c = 9 to p, which gives p = 80.\n\nThus, the final answer is p = \\boxed{80}.",
"index": 23335,
"question": "Consider a system of variables where each variable is defined as follows: d = c + 15; b = g + 15; c = 9; s = z + 5; j = x + 14; v = h + 1; h = c + 1; u = o + 16; p = s + 15; x = d + 7; z = j + 15; o = v + 15; g = u + 1. If c = 9, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"a": "x + 11", "w": "a + 1", "q": "w + 17", "g": "q + 10", "d": "g + 12", "h": "d + 16", "z": "x + 12", "u": "z + 4", "b": "u + 19", "p": "b + 17", "n": "p + 16", "f": "n + 5", "x": 17}, "premises": {"x": 17}, "target": "h"}, "answer": {"steps": [["d", "g + 12", "g + 28"], ["g", "q + 10", "q + 38"], ["q", "w + 17", "w + 55"], ["w", "a + 1", "a + 56"], ["a", "x + 11", "x + 67"], ["x", 17, "84"]], "target_var_name": "h", "target_value": 84, "value_dict": {"x": 17}, "is_reverse": true}}
| 23,336
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = d + 16; g = q + 10; a = x + 11; f = n + 5; u = z + 4; x = 17; w = a + 1; p = b + 17; z = x + 12; d = g + 12; b = u + 19; n = p + 16; q = w + 17. If x = 17, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = g + 12 to h, which gives h = g + 28.\n2. Substitute g = q + 10 to h, which gives h = q + 38.\n3. Substitute q = w + 17 to h, which gives h = w + 55.\n4. Substitute w = a + 1 to h, which gives h = a + 56.\n5. Substitute a = x + 11 to h, which gives h = x + 67.\n6. Substitute x = 17 to h, which gives h = 84.\n\nThus, the final answer is h = \\boxed{84}.",
"index": 23336,
"question": "Consider a system of variables where each variable is defined as follows: h = d + 16; g = q + 10; a = x + 11; f = n + 5; u = z + 4; x = 17; w = a + 1; p = b + 17; z = x + 12; d = g + 12; b = u + 19; n = p + 16; q = w + 17. If x = 17, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"b": "d + 11", "m": "b + 3", "u": "m + 9", "k": "u + 3", "v": "k + 5", "n": "v + 11", "i": "d + 17", "y": "i + 1", "l": "y + 5", "f": "l + 11", "x": "f + 9", "s": "x + 4", "d": 3}, "premises": {"d": 3}, "target": "n"}, "answer": {"steps": [["v", "k + 5", "k + 16"], ["k", "u + 3", "u + 19"], ["u", "m + 9", "m + 28"], ["m", "b + 3", "b + 31"], ["b", "d + 11", "d + 42"], ["d", 3, "45"]], "target_var_name": "n", "target_value": 45, "value_dict": {"d": 3}, "is_reverse": true}}
| 23,337
| 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 = 3; v = k + 5; l = y + 5; n = v + 11; k = u + 3; y = i + 1; b = d + 11; m = b + 3; s = x + 4; u = m + 9; i = d + 17; f = l + 11; x = f + 9. If d = 3, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 45,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = k + 5 to n, which gives n = k + 16.\n2. Substitute k = u + 3 to n, which gives n = u + 19.\n3. Substitute u = m + 9 to n, which gives n = m + 28.\n4. Substitute m = b + 3 to n, which gives n = b + 31.\n5. Substitute b = d + 11 to n, which gives n = d + 42.\n6. Substitute d = 3 to n, which gives n = 45.\n\nThus, the final answer is n = \\boxed{45}.",
"index": 23337,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = 3; v = k + 5; l = y + 5; n = v + 11; k = u + 3; y = i + 1; b = d + 11; m = b + 3; s = x + 4; u = m + 9; i = d + 17; f = l + 11; x = f + 9. If d = 3, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"y": "s + 20", "a": "y + 14", "z": "a + 2", "f": "z + 16", "o": "f + 13", "t": "o + 11", "i": "s + 3", "j": "i + 9", "n": "j + 7", "c": "n + 14", "m": "c + 14", "d": "m + 15", "s": 14}, "premises": {"s": 14}, "target": "t"}, "answer": {"steps": [["o", "f + 13", "f + 24"], ["f", "z + 16", "z + 40"], ["z", "a + 2", "a + 42"], ["a", "y + 14", "y + 56"], ["y", "s + 20", "s + 76"], ["s", 14, "90"]], "target_var_name": "t", "target_value": 90, "value_dict": {"s": 14}, "is_reverse": true}}
| 23,338
| 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 = s + 20; c = n + 14; f = z + 16; i = s + 3; z = a + 2; j = i + 9; n = j + 7; m = c + 14; d = m + 15; o = f + 13; s = 14; t = o + 11; a = y + 14. If s = 14, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = f + 13 to t, which gives t = f + 24.\n2. Substitute f = z + 16 to t, which gives t = z + 40.\n3. Substitute z = a + 2 to t, which gives t = a + 42.\n4. Substitute a = y + 14 to t, which gives t = y + 56.\n5. Substitute y = s + 20 to t, which gives t = s + 76.\n6. Substitute s = 14 to t, which gives t = 90.\n\nThus, the final answer is t = \\boxed{90}.",
"index": 23338,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = s + 20; c = n + 14; f = z + 16; i = s + 3; z = a + 2; j = i + 9; n = j + 7; m = c + 14; d = m + 15; o = f + 13; s = 14; t = o + 11; a = y + 14. If s = 14, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"e": "g + 9", "m": "e + 18", "w": "m + 8", "d": "w + 7", "q": "d + 14", "c": "q + 15", "z": "g + 18", "l": "z + 10", "y": "l + 7", "x": "y + 9", "p": "x + 13", "n": "p + 2", "g": 9}, "premises": {"g": 9}, "target": "c"}, "answer": {"steps": [["q", "d + 14", "d + 29"], ["d", "w + 7", "w + 36"], ["w", "m + 8", "m + 44"], ["m", "e + 18", "e + 62"], ["e", "g + 9", "g + 71"], ["g", 9, "80"]], "target_var_name": "c", "target_value": 80, "value_dict": {"g": 9}, "is_reverse": true}}
| 23,339
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = d + 14; w = m + 8; x = y + 9; g = 9; c = q + 15; d = w + 7; p = x + 13; m = e + 18; e = g + 9; z = g + 18; y = l + 7; n = p + 2; l = z + 10. Given that g = 9, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = d + 14 to c, which gives c = d + 29.\n2. Substitute d = w + 7 to c, which gives c = w + 36.\n3. Substitute w = m + 8 to c, which gives c = m + 44.\n4. Substitute m = e + 18 to c, which gives c = e + 62.\n5. Substitute e = g + 9 to c, which gives c = g + 71.\n6. Substitute g = 9 to c, which gives c = 80.\n\nThus, the final answer is c = \\boxed{80}.",
"index": 23339,
"question": "Suppose a collection of variables is related by the following definitions: q = d + 14; w = m + 8; x = y + 9; g = 9; c = q + 15; d = w + 7; p = x + 13; m = e + 18; e = g + 9; z = g + 18; y = l + 7; n = p + 2; l = z + 10. Given that g = 9, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"a": "w + 10", "k": "a + 19", "r": "k + 16", "b": "r + 19", "v": "b + 17", "n": "v + 15", "p": "w + 20", "t": "p + 14", "f": "t + 19", "s": "f + 4", "j": "s + 9", "l": "j + 16", "w": 6}, "premises": {"w": 6}, "target": "n"}, "answer": {"steps": [["v", "b + 17", "b + 32"], ["b", "r + 19", "r + 51"], ["r", "k + 16", "k + 67"], ["k", "a + 19", "a + 86"], ["a", "w + 10", "w + 96"], ["w", 6, "102"]], "target_var_name": "n", "target_value": 102, "value_dict": {"w": 6}, "is_reverse": true}}
| 23,340
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = p + 14; a = w + 10; f = t + 19; v = b + 17; p = w + 20; j = s + 9; l = j + 16; r = k + 16; w = 6; b = r + 19; s = f + 4; k = a + 19; n = v + 15. If w = 6, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 102,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = b + 17 to n, which gives n = b + 32.\n2. Substitute b = r + 19 to n, which gives n = r + 51.\n3. Substitute r = k + 16 to n, which gives n = k + 67.\n4. Substitute k = a + 19 to n, which gives n = a + 86.\n5. Substitute a = w + 10 to n, which gives n = w + 96.\n6. Substitute w = 6 to n, which gives n = 102.\n\nThus, the final answer is n = \\boxed{102}.",
"index": 23340,
"question": "Consider a system of variables where each variable is defined as follows: t = p + 14; a = w + 10; f = t + 19; v = b + 17; p = w + 20; j = s + 9; l = j + 16; r = k + 16; w = 6; b = r + 19; s = f + 4; k = a + 19; n = v + 15. If w = 6, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"o": "e + 13", "s": "o + 11", "m": "s + 4", "c": "m + 19", "x": "c + 16", "a": "x + 1", "b": "e + 13", "f": "b + 18", "d": "f + 19", "w": "d + 11", "p": "w + 8", "g": "p + 14", "e": 13}, "premises": {"e": 13}, "target": "a"}, "answer": {"steps": [["x", "c + 16", "c + 17"], ["c", "m + 19", "m + 36"], ["m", "s + 4", "s + 40"], ["s", "o + 11", "o + 51"], ["o", "e + 13", "e + 64"], ["e", 13, "77"]], "target_var_name": "a", "target_value": 77, "value_dict": {"e": 13}, "is_reverse": true}}
| 23,341
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = d + 11; d = f + 19; x = c + 16; c = m + 19; f = b + 18; g = p + 14; a = x + 1; b = e + 13; o = e + 13; s = o + 11; p = w + 8; e = 13; m = s + 4. Given that e = 13, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = c + 16 to a, which gives a = c + 17.\n2. Substitute c = m + 19 to a, which gives a = m + 36.\n3. Substitute m = s + 4 to a, which gives a = s + 40.\n4. Substitute s = o + 11 to a, which gives a = o + 51.\n5. Substitute o = e + 13 to a, which gives a = e + 64.\n6. Substitute e = 13 to a, which gives a = 77.\n\nThus, the final answer is a = \\boxed{77}.",
"index": 23341,
"question": "Suppose a collection of variables is related by the following definitions: w = d + 11; d = f + 19; x = c + 16; c = m + 19; f = b + 18; g = p + 14; a = x + 1; b = e + 13; o = e + 13; s = o + 11; p = w + 8; e = 13; m = s + 4. Given that e = 13, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"o": "g + 16", "b": "o + 12", "y": "b + 8", "w": "y + 3", "d": "w + 18", "s": "d + 18", "p": "g + 20", "e": "p + 2", "h": "e + 19", "c": "h + 8", "q": "c + 15", "k": "q + 10", "g": 9}, "premises": {"g": 9}, "target": "s"}, "answer": {"steps": [["d", "w + 18", "w + 36"], ["w", "y + 3", "y + 39"], ["y", "b + 8", "b + 47"], ["b", "o + 12", "o + 59"], ["o", "g + 16", "g + 75"], ["g", 9, "84"]], "target_var_name": "s", "target_value": 84, "value_dict": {"g": 9}, "is_reverse": true}}
| 23,342
| 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 = 9; s = d + 18; y = b + 8; o = g + 16; w = y + 3; e = p + 2; h = e + 19; p = g + 20; k = q + 10; b = o + 12; c = h + 8; q = c + 15; d = w + 18. If g = 9, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = w + 18 to s, which gives s = w + 36.\n2. Substitute w = y + 3 to s, which gives s = y + 39.\n3. Substitute y = b + 8 to s, which gives s = b + 47.\n4. Substitute b = o + 12 to s, which gives s = o + 59.\n5. Substitute o = g + 16 to s, which gives s = g + 75.\n6. Substitute g = 9 to s, which gives s = 84.\n\nThus, the final answer is s = \\boxed{84}.",
"index": 23342,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = 9; s = d + 18; y = b + 8; o = g + 16; w = y + 3; e = p + 2; h = e + 19; p = g + 20; k = q + 10; b = o + 12; c = h + 8; q = c + 15; d = w + 18. If g = 9, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"x": "j + 17", "n": "x + 18", "y": "n + 3", "b": "y + 1", "t": "b + 18", "o": "t + 5", "k": "j + 14", "d": "k + 10", "l": "d + 19", "p": "l + 12", "e": "p + 1", "m": "e + 15", "j": 19}, "premises": {"j": 19}, "target": "o"}, "answer": {"steps": [["t", "b + 18", "b + 23"], ["b", "y + 1", "y + 24"], ["y", "n + 3", "n + 27"], ["n", "x + 18", "x + 45"], ["x", "j + 17", "j + 62"], ["j", 19, "81"]], "target_var_name": "o", "target_value": 81, "value_dict": {"j": 19}, "is_reverse": true}}
| 23,343
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = n + 3; n = x + 18; d = k + 10; t = b + 18; l = d + 19; m = e + 15; x = j + 17; k = j + 14; b = y + 1; o = t + 5; p = l + 12; j = 19; e = p + 1. Given that j = 19, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = b + 18 to o, which gives o = b + 23.\n2. Substitute b = y + 1 to o, which gives o = y + 24.\n3. Substitute y = n + 3 to o, which gives o = n + 27.\n4. Substitute n = x + 18 to o, which gives o = x + 45.\n5. Substitute x = j + 17 to o, which gives o = j + 62.\n6. Substitute j = 19 to o, which gives o = 81.\n\nThus, the final answer is o = \\boxed{81}.",
"index": 23343,
"question": "Suppose a collection of variables is related by the following definitions: y = n + 3; n = x + 18; d = k + 10; t = b + 18; l = d + 19; m = e + 15; x = j + 17; k = j + 14; b = y + 1; o = t + 5; p = l + 12; j = 19; e = p + 1. Given that j = 19, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"z": "s + 19", "h": "z + 19", "l": "h + 14", "q": "l + 4", "t": "q + 9", "f": "t + 7", "a": "s + 9", "r": "a + 17", "c": "r + 12", "v": "c + 10", "y": "v + 12", "w": "y + 5", "s": 12}, "premises": {"s": 12}, "target": "f"}, "answer": {"steps": [["t", "q + 9", "q + 16"], ["q", "l + 4", "l + 20"], ["l", "h + 14", "h + 34"], ["h", "z + 19", "z + 53"], ["z", "s + 19", "s + 72"], ["s", 12, "84"]], "target_var_name": "f", "target_value": 84, "value_dict": {"s": 12}, "is_reverse": true}}
| 23,344
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = s + 9; t = q + 9; h = z + 19; y = v + 12; v = c + 10; w = y + 5; c = r + 12; f = t + 7; q = l + 4; r = a + 17; l = h + 14; s = 12; z = s + 19. If s = 12, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = q + 9 to f, which gives f = q + 16.\n2. Substitute q = l + 4 to f, which gives f = l + 20.\n3. Substitute l = h + 14 to f, which gives f = h + 34.\n4. Substitute h = z + 19 to f, which gives f = z + 53.\n5. Substitute z = s + 19 to f, which gives f = s + 72.\n6. Substitute s = 12 to f, which gives f = 84.\n\nThus, the final answer is f = \\boxed{84}.",
"index": 23344,
"question": "Consider a system of variables where each variable is defined as follows: a = s + 9; t = q + 9; h = z + 19; y = v + 12; v = c + 10; w = y + 5; c = r + 12; f = t + 7; q = l + 4; r = a + 17; l = h + 14; s = 12; z = s + 19. If s = 12, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"v": "j + 11", "h": "v + 4", "k": "h + 14", "n": "k + 12", "e": "n + 11", "c": "e + 17", "w": "j + 15", "x": "w + 3", "u": "x + 16", "p": "u + 4", "l": "p + 4", "f": "l + 19", "j": 4}, "premises": {"j": 4}, "target": "c"}, "answer": {"steps": [["e", "n + 11", "n + 28"], ["n", "k + 12", "k + 40"], ["k", "h + 14", "h + 54"], ["h", "v + 4", "v + 58"], ["v", "j + 11", "j + 69"], ["j", 4, "73"]], "target_var_name": "c", "target_value": 73, "value_dict": {"j": 4}, "is_reverse": true}}
| 23,345
| 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 = e + 17; l = p + 4; u = x + 16; h = v + 4; v = j + 11; e = n + 11; p = u + 4; x = w + 3; k = h + 14; j = 4; w = j + 15; n = k + 12; f = l + 19. If j = 4, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = n + 11 to c, which gives c = n + 28.\n2. Substitute n = k + 12 to c, which gives c = k + 40.\n3. Substitute k = h + 14 to c, which gives c = h + 54.\n4. Substitute h = v + 4 to c, which gives c = v + 58.\n5. Substitute v = j + 11 to c, which gives c = j + 69.\n6. Substitute j = 4 to c, which gives c = 73.\n\nThus, the final answer is c = \\boxed{73}.",
"index": 23345,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = e + 17; l = p + 4; u = x + 16; h = v + 4; v = j + 11; e = n + 11; p = u + 4; x = w + 3; k = h + 14; j = 4; w = j + 15; n = k + 12; f = l + 19. If j = 4, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"u": "e + 12", "p": "u + 16", "g": "p + 3", "v": "g + 8", "h": "v + 18", "n": "h + 10", "d": "e + 5", "c": "d + 12", "t": "c + 17", "f": "t + 11", "k": "f + 2", "i": "k + 15", "e": 16}, "premises": {"e": 16}, "target": "n"}, "answer": {"steps": [["h", "v + 18", "v + 28"], ["v", "g + 8", "g + 36"], ["g", "p + 3", "p + 39"], ["p", "u + 16", "u + 55"], ["u", "e + 12", "e + 67"], ["e", 16, "83"]], "target_var_name": "n", "target_value": 83, "value_dict": {"e": 16}, "is_reverse": true}}
| 23,346
| 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 = p + 3; h = v + 18; n = h + 10; i = k + 15; e = 16; p = u + 16; d = e + 5; v = g + 8; u = e + 12; c = d + 12; f = t + 11; t = c + 17; k = f + 2. If e = 16, 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 h = v + 18 to n, which gives n = v + 28.\n2. Substitute v = g + 8 to n, which gives n = g + 36.\n3. Substitute g = p + 3 to n, which gives n = p + 39.\n4. Substitute p = u + 16 to n, which gives n = u + 55.\n5. Substitute u = e + 12 to n, which gives n = e + 67.\n6. Substitute e = 16 to n, which gives n = 83.\n\nThus, the final answer is n = \\boxed{83}.",
"index": 23346,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = p + 3; h = v + 18; n = h + 10; i = k + 15; e = 16; p = u + 16; d = e + 5; v = g + 8; u = e + 12; c = d + 12; f = t + 11; t = c + 17; k = f + 2. If e = 16, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"a": "c + 6", "s": "a + 7", "g": "s + 8", "w": "g + 4", "h": "w + 10", "r": "h + 1", "x": "c + 18", "e": "x + 10", "i": "e + 19", "o": "i + 4", "y": "o + 9", "j": "y + 14", "c": 8}, "premises": {"c": 8}, "target": "r"}, "answer": {"steps": [["h", "w + 10", "w + 11"], ["w", "g + 4", "g + 15"], ["g", "s + 8", "s + 23"], ["s", "a + 7", "a + 30"], ["a", "c + 6", "c + 36"], ["c", 8, "44"]], "target_var_name": "r", "target_value": 44, "value_dict": {"c": 8}, "is_reverse": true}}
| 23,347
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = e + 19; a = c + 6; x = c + 18; r = h + 1; e = x + 10; j = y + 14; y = o + 9; o = i + 4; g = s + 8; w = g + 4; s = a + 7; h = w + 10; c = 8. Given that c = 8, find 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 h = w + 10 to r, which gives r = w + 11.\n2. Substitute w = g + 4 to r, which gives r = g + 15.\n3. Substitute g = s + 8 to r, which gives r = s + 23.\n4. Substitute s = a + 7 to r, which gives r = a + 30.\n5. Substitute a = c + 6 to r, which gives r = c + 36.\n6. Substitute c = 8 to r, which gives r = 44.\n\nThus, the final answer is r = \\boxed{44}.",
"index": 23347,
"question": "Suppose a collection of variables is related by the following definitions: i = e + 19; a = c + 6; x = c + 18; r = h + 1; e = x + 10; j = y + 14; y = o + 9; o = i + 4; g = s + 8; w = g + 4; s = a + 7; h = w + 10; c = 8. Given that c = 8, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"d": "h + 19", "g": "d + 10", "e": "g + 3", "b": "e + 16", "w": "b + 17", "y": "w + 14", "v": "h + 5", "t": "v + 11", "m": "t + 5", "l": "m + 16", "f": "l + 4", "x": "f + 4", "h": 17}, "premises": {"h": 17}, "target": "y"}, "answer": {"steps": [["w", "b + 17", "b + 31"], ["b", "e + 16", "e + 47"], ["e", "g + 3", "g + 50"], ["g", "d + 10", "d + 60"], ["d", "h + 19", "h + 79"], ["h", 17, "96"]], "target_var_name": "y", "target_value": 96, "value_dict": {"h": 17}, "is_reverse": true}}
| 23,348
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = m + 16; d = h + 19; g = d + 10; e = g + 3; v = h + 5; w = b + 17; h = 17; x = f + 4; f = l + 4; b = e + 16; y = w + 14; m = t + 5; t = v + 11. If h = 17, determine the 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 w = b + 17 to y, which gives y = b + 31.\n2. Substitute b = e + 16 to y, which gives y = e + 47.\n3. Substitute e = g + 3 to y, which gives y = g + 50.\n4. Substitute g = d + 10 to y, which gives y = d + 60.\n5. Substitute d = h + 19 to y, which gives y = h + 79.\n6. Substitute h = 17 to y, which gives y = 96.\n\nThus, the final answer is y = \\boxed{96}.",
"index": 23348,
"question": "Consider a system of variables where each variable is defined as follows: l = m + 16; d = h + 19; g = d + 10; e = g + 3; v = h + 5; w = b + 17; h = 17; x = f + 4; f = l + 4; b = e + 16; y = w + 14; m = t + 5; t = v + 11. If h = 17, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"o": "u + 7", "n": "o + 7", "w": "n + 18", "j": "w + 19", "x": "j + 8", "h": "x + 6", "c": "u + 6", "p": "c + 13", "q": "p + 1", "d": "q + 3", "y": "d + 15", "a": "y + 1", "u": 2}, "premises": {"u": 2}, "target": "h"}, "answer": {"steps": [["x", "j + 8", "j + 14"], ["j", "w + 19", "w + 33"], ["w", "n + 18", "n + 51"], ["n", "o + 7", "o + 58"], ["o", "u + 7", "u + 65"], ["u", 2, "67"]], "target_var_name": "h", "target_value": 67, "value_dict": {"u": 2}, "is_reverse": true}}
| 23,349
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = o + 7; u = 2; a = y + 1; q = p + 1; h = x + 6; w = n + 18; o = u + 7; d = q + 3; p = c + 13; y = d + 15; x = j + 8; j = w + 19; c = u + 6. Given that u = 2, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = j + 8 to h, which gives h = j + 14.\n2. Substitute j = w + 19 to h, which gives h = w + 33.\n3. Substitute w = n + 18 to h, which gives h = n + 51.\n4. Substitute n = o + 7 to h, which gives h = o + 58.\n5. Substitute o = u + 7 to h, which gives h = u + 65.\n6. Substitute u = 2 to h, which gives h = 67.\n\nThus, the final answer is h = \\boxed{67}.",
"index": 23349,
"question": "Suppose a collection of variables is related by the following definitions: n = o + 7; u = 2; a = y + 1; q = p + 1; h = x + 6; w = n + 18; o = u + 7; d = q + 3; p = c + 13; y = d + 15; x = j + 8; j = w + 19; c = u + 6. Given that u = 2, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"x": "h + 6", "p": "x + 12", "o": "p + 8", "g": "o + 4", "j": "g + 12", "n": "j + 10", "f": "h + 8", "l": "f + 8", "w": "l + 2", "y": "w + 3", "z": "y + 14", "b": "z + 7", "h": 18}, "premises": {"h": 18}, "target": "n"}, "answer": {"steps": [["j", "g + 12", "g + 22"], ["g", "o + 4", "o + 26"], ["o", "p + 8", "p + 34"], ["p", "x + 12", "x + 46"], ["x", "h + 6", "h + 52"], ["h", 18, "70"]], "target_var_name": "n", "target_value": 70, "value_dict": {"h": 18}, "is_reverse": true}}
| 23,350
| 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 = l + 2; z = y + 14; h = 18; b = z + 7; f = h + 8; y = w + 3; x = h + 6; p = x + 12; n = j + 10; l = f + 8; g = o + 4; o = p + 8; j = g + 12. If h = 18, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = g + 12 to n, which gives n = g + 22.\n2. Substitute g = o + 4 to n, which gives n = o + 26.\n3. Substitute o = p + 8 to n, which gives n = p + 34.\n4. Substitute p = x + 12 to n, which gives n = x + 46.\n5. Substitute x = h + 6 to n, which gives n = h + 52.\n6. Substitute h = 18 to n, which gives n = 70.\n\nThus, the final answer is n = \\boxed{70}.",
"index": 23350,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = l + 2; z = y + 14; h = 18; b = z + 7; f = h + 8; y = w + 3; x = h + 6; p = x + 12; n = j + 10; l = f + 8; g = o + 4; o = p + 8; j = g + 12. If h = 18, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"g": "c + 11", "k": "g + 1", "i": "k + 20", "s": "i + 11", "n": "s + 9", "j": "n + 18", "m": "c + 6", "d": "m + 10", "f": "d + 15", "w": "f + 9", "b": "w + 5", "e": "b + 20", "c": 12}, "premises": {"c": 12}, "target": "j"}, "answer": {"steps": [["n", "s + 9", "s + 27"], ["s", "i + 11", "i + 38"], ["i", "k + 20", "k + 58"], ["k", "g + 1", "g + 59"], ["g", "c + 11", "c + 70"], ["c", 12, "82"]], "target_var_name": "j", "target_value": 82, "value_dict": {"c": 12}, "is_reverse": true}}
| 23,351
| 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 = i + 11; j = n + 18; k = g + 1; w = f + 9; g = c + 11; i = k + 20; c = 12; b = w + 5; n = s + 9; m = c + 6; e = b + 20; d = m + 10; f = d + 15. If c = 12, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = s + 9 to j, which gives j = s + 27.\n2. Substitute s = i + 11 to j, which gives j = i + 38.\n3. Substitute i = k + 20 to j, which gives j = k + 58.\n4. Substitute k = g + 1 to j, which gives j = g + 59.\n5. Substitute g = c + 11 to j, which gives j = c + 70.\n6. Substitute c = 12 to j, which gives j = 82.\n\nThus, the final answer is j = \\boxed{82}.",
"index": 23351,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = i + 11; j = n + 18; k = g + 1; w = f + 9; g = c + 11; i = k + 20; c = 12; b = w + 5; n = s + 9; m = c + 6; e = b + 20; d = m + 10; f = d + 15. If c = 12, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"x": "b + 15", "q": "x + 18", "z": "q + 7", "l": "z + 7", "y": "l + 10", "a": "y + 2", "r": "b + 8", "m": "r + 9", "g": "m + 6", "p": "g + 5", "j": "p + 15", "d": "j + 12", "b": 20}, "premises": {"b": 20}, "target": "a"}, "answer": {"steps": [["y", "l + 10", "l + 12"], ["l", "z + 7", "z + 19"], ["z", "q + 7", "q + 26"], ["q", "x + 18", "x + 44"], ["x", "b + 15", "b + 59"], ["b", 20, "79"]], "target_var_name": "a", "target_value": 79, "value_dict": {"b": 20}, "is_reverse": true}}
| 23,352
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = x + 18; r = b + 8; b = 20; j = p + 15; a = y + 2; z = q + 7; d = j + 12; x = b + 15; m = r + 9; g = m + 6; p = g + 5; y = l + 10; l = z + 7. Given that b = 20, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = l + 10 to a, which gives a = l + 12.\n2. Substitute l = z + 7 to a, which gives a = z + 19.\n3. Substitute z = q + 7 to a, which gives a = q + 26.\n4. Substitute q = x + 18 to a, which gives a = x + 44.\n5. Substitute x = b + 15 to a, which gives a = b + 59.\n6. Substitute b = 20 to a, which gives a = 79.\n\nThus, the final answer is a = \\boxed{79}.",
"index": 23352,
"question": "Suppose a collection of variables is related by the following definitions: q = x + 18; r = b + 8; b = 20; j = p + 15; a = y + 2; z = q + 7; d = j + 12; x = b + 15; m = r + 9; g = m + 6; p = g + 5; y = l + 10; l = z + 7. Given that b = 20, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"i": "n + 5", "a": "i + 12", "j": "a + 5", "x": "j + 14", "z": "x + 9", "h": "z + 16", "u": "n + 9", "s": "u + 19", "c": "s + 17", "b": "c + 6", "m": "b + 17", "t": "m + 19", "n": 11}, "premises": {"n": 11}, "target": "h"}, "answer": {"steps": [["z", "x + 9", "x + 25"], ["x", "j + 14", "j + 39"], ["j", "a + 5", "a + 44"], ["a", "i + 12", "i + 56"], ["i", "n + 5", "n + 61"], ["n", 11, "72"]], "target_var_name": "h", "target_value": 72, "value_dict": {"n": 11}, "is_reverse": true}}
| 23,353
| 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 = b + 17; s = u + 19; j = a + 5; n = 11; u = n + 9; c = s + 17; h = z + 16; t = m + 19; x = j + 14; b = c + 6; a = i + 12; z = x + 9; i = n + 5. If n = 11, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = x + 9 to h, which gives h = x + 25.\n2. Substitute x = j + 14 to h, which gives h = j + 39.\n3. Substitute j = a + 5 to h, which gives h = a + 44.\n4. Substitute a = i + 12 to h, which gives h = i + 56.\n5. Substitute i = n + 5 to h, which gives h = n + 61.\n6. Substitute n = 11 to h, which gives h = 72.\n\nThus, the final answer is h = \\boxed{72}.",
"index": 23353,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = b + 17; s = u + 19; j = a + 5; n = 11; u = n + 9; c = s + 17; h = z + 16; t = m + 19; x = j + 14; b = c + 6; a = i + 12; z = x + 9; i = n + 5. If n = 11, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"x": "i + 5", "w": "x + 16", "e": "w + 8", "l": "e + 13", "j": "l + 6", "a": "j + 19", "d": "i + 20", "k": "d + 9", "z": "k + 2", "t": "z + 4", "s": "t + 16", "o": "s + 18", "i": 18}, "premises": {"i": 18}, "target": "a"}, "answer": {"steps": [["j", "l + 6", "l + 25"], ["l", "e + 13", "e + 38"], ["e", "w + 8", "w + 46"], ["w", "x + 16", "x + 62"], ["x", "i + 5", "i + 67"], ["i", 18, "85"]], "target_var_name": "a", "target_value": 85, "value_dict": {"i": 18}, "is_reverse": true}}
| 23,354
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = d + 9; w = x + 16; i = 18; z = k + 2; s = t + 16; a = j + 19; j = l + 6; o = s + 18; e = w + 8; x = i + 5; l = e + 13; t = z + 4; d = i + 20. If i = 18, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = l + 6 to a, which gives a = l + 25.\n2. Substitute l = e + 13 to a, which gives a = e + 38.\n3. Substitute e = w + 8 to a, which gives a = w + 46.\n4. Substitute w = x + 16 to a, which gives a = x + 62.\n5. Substitute x = i + 5 to a, which gives a = i + 67.\n6. Substitute i = 18 to a, which gives a = 85.\n\nThus, the final answer is a = \\boxed{85}.",
"index": 23354,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = d + 9; w = x + 16; i = 18; z = k + 2; s = t + 16; a = j + 19; j = l + 6; o = s + 18; e = w + 8; x = i + 5; l = e + 13; t = z + 4; d = i + 20. If i = 18, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"z": "s + 6", "k": "z + 17", "c": "k + 14", "j": "c + 5", "v": "j + 11", "l": "v + 11", "q": "s + 9", "e": "q + 18", "u": "e + 8", "n": "u + 15", "w": "n + 6", "i": "w + 17", "s": 11}, "premises": {"s": 11}, "target": "l"}, "answer": {"steps": [["v", "j + 11", "j + 22"], ["j", "c + 5", "c + 27"], ["c", "k + 14", "k + 41"], ["k", "z + 17", "z + 58"], ["z", "s + 6", "s + 64"], ["s", 11, "75"]], "target_var_name": "l", "target_value": 75, "value_dict": {"s": 11}, "is_reverse": true}}
| 23,355
| 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 = k + 14; k = z + 17; q = s + 9; w = n + 6; j = c + 5; s = 11; n = u + 15; i = w + 17; e = q + 18; z = s + 6; v = j + 11; u = e + 8; l = v + 11. If s = 11, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = j + 11 to l, which gives l = j + 22.\n2. Substitute j = c + 5 to l, which gives l = c + 27.\n3. Substitute c = k + 14 to l, which gives l = k + 41.\n4. Substitute k = z + 17 to l, which gives l = z + 58.\n5. Substitute z = s + 6 to l, which gives l = s + 64.\n6. Substitute s = 11 to l, which gives l = 75.\n\nThus, the final answer is l = \\boxed{75}.",
"index": 23355,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = k + 14; k = z + 17; q = s + 9; w = n + 6; j = c + 5; s = 11; n = u + 15; i = w + 17; e = q + 18; z = s + 6; v = j + 11; u = e + 8; l = v + 11. If s = 11, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"j": "c + 11", "m": "j + 13", "l": "m + 11", "g": "l + 17", "b": "g + 20", "d": "b + 19", "n": "c + 10", "p": "n + 17", "o": "p + 19", "v": "o + 10", "h": "v + 14", "f": "h + 12", "c": 7}, "premises": {"c": 7}, "target": "d"}, "answer": {"steps": [["b", "g + 20", "g + 39"], ["g", "l + 17", "l + 56"], ["l", "m + 11", "m + 67"], ["m", "j + 13", "j + 80"], ["j", "c + 11", "c + 91"], ["c", 7, "98"]], "target_var_name": "d", "target_value": 98, "value_dict": {"c": 7}, "is_reverse": true}}
| 23,356
| 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 = l + 17; c = 7; h = v + 14; f = h + 12; m = j + 13; d = b + 19; j = c + 11; b = g + 20; v = o + 10; l = m + 11; n = c + 10; p = n + 17; o = p + 19. If c = 7, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 98,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = g + 20 to d, which gives d = g + 39.\n2. Substitute g = l + 17 to d, which gives d = l + 56.\n3. Substitute l = m + 11 to d, which gives d = m + 67.\n4. Substitute m = j + 13 to d, which gives d = j + 80.\n5. Substitute j = c + 11 to d, which gives d = c + 91.\n6. Substitute c = 7 to d, which gives d = 98.\n\nThus, the final answer is d = \\boxed{98}.",
"index": 23356,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = l + 17; c = 7; h = v + 14; f = h + 12; m = j + 13; d = b + 19; j = c + 11; b = g + 20; v = o + 10; l = m + 11; n = c + 10; p = n + 17; o = p + 19. If c = 7, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"d": "i + 1", "c": "d + 18", "l": "c + 1", "w": "l + 20", "n": "w + 10", "k": "n + 16", "y": "i + 18", "f": "y + 7", "b": "f + 20", "r": "b + 6", "m": "r + 18", "g": "m + 11", "i": 15}, "premises": {"i": 15}, "target": "k"}, "answer": {"steps": [["n", "w + 10", "w + 26"], ["w", "l + 20", "l + 46"], ["l", "c + 1", "c + 47"], ["c", "d + 18", "d + 65"], ["d", "i + 1", "i + 66"], ["i", 15, "81"]], "target_var_name": "k", "target_value": 81, "value_dict": {"i": 15}, "is_reverse": true}}
| 23,357
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = d + 18; w = l + 20; d = i + 1; l = c + 1; k = n + 16; n = w + 10; f = y + 7; i = 15; r = b + 6; y = i + 18; m = r + 18; g = m + 11; b = f + 20. If i = 15, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = w + 10 to k, which gives k = w + 26.\n2. Substitute w = l + 20 to k, which gives k = l + 46.\n3. Substitute l = c + 1 to k, which gives k = c + 47.\n4. Substitute c = d + 18 to k, which gives k = d + 65.\n5. Substitute d = i + 1 to k, which gives k = i + 66.\n6. Substitute i = 15 to k, which gives k = 81.\n\nThus, the final answer is k = \\boxed{81}.",
"index": 23357,
"question": "Consider a system of variables where each variable is defined as follows: c = d + 18; w = l + 20; d = i + 1; l = c + 1; k = n + 16; n = w + 10; f = y + 7; i = 15; r = b + 6; y = i + 18; m = r + 18; g = m + 11; b = f + 20. If i = 15, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"h": "i + 6", "a": "h + 11", "c": "a + 4", "x": "c + 7", "q": "x + 16", "s": "q + 14", "t": "i + 11", "r": "t + 15", "b": "r + 3", "m": "b + 12", "z": "m + 14", "l": "z + 10", "i": 10}, "premises": {"i": 10}, "target": "s"}, "answer": {"steps": [["q", "x + 16", "x + 30"], ["x", "c + 7", "c + 37"], ["c", "a + 4", "a + 41"], ["a", "h + 11", "h + 52"], ["h", "i + 6", "i + 58"], ["i", 10, "68"]], "target_var_name": "s", "target_value": 68, "value_dict": {"i": 10}, "is_reverse": true}}
| 23,358
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = a + 4; m = b + 12; x = c + 7; t = i + 11; l = z + 10; q = x + 16; z = m + 14; a = h + 11; i = 10; h = i + 6; r = t + 15; s = q + 14; b = r + 3. If i = 10, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = x + 16 to s, which gives s = x + 30.\n2. Substitute x = c + 7 to s, which gives s = c + 37.\n3. Substitute c = a + 4 to s, which gives s = a + 41.\n4. Substitute a = h + 11 to s, which gives s = h + 52.\n5. Substitute h = i + 6 to s, which gives s = i + 58.\n6. Substitute i = 10 to s, which gives s = 68.\n\nThus, the final answer is s = \\boxed{68}.",
"index": 23358,
"question": "Consider a system of variables where each variable is defined as follows: c = a + 4; m = b + 12; x = c + 7; t = i + 11; l = z + 10; q = x + 16; z = m + 14; a = h + 11; i = 10; h = i + 6; r = t + 15; s = q + 14; b = r + 3. If i = 10, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"b": "p + 2", "f": "b + 3", "a": "f + 1", "h": "a + 9", "d": "h + 1", "v": "d + 4", "j": "p + 4", "k": "j + 13", "x": "k + 8", "t": "x + 5", "n": "t + 20", "z": "n + 11", "p": 16}, "premises": {"p": 16}, "target": "v"}, "answer": {"steps": [["d", "h + 1", "h + 5"], ["h", "a + 9", "a + 14"], ["a", "f + 1", "f + 15"], ["f", "b + 3", "b + 18"], ["b", "p + 2", "p + 20"], ["p", 16, "36"]], "target_var_name": "v", "target_value": 36, "value_dict": {"p": 16}, "is_reverse": true}}
| 23,359
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = p + 4; k = j + 13; a = f + 1; h = a + 9; d = h + 1; p = 16; n = t + 20; x = k + 8; z = n + 11; t = x + 5; f = b + 3; b = p + 2; v = d + 4. If p = 16, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 36,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = h + 1 to v, which gives v = h + 5.\n2. Substitute h = a + 9 to v, which gives v = a + 14.\n3. Substitute a = f + 1 to v, which gives v = f + 15.\n4. Substitute f = b + 3 to v, which gives v = b + 18.\n5. Substitute b = p + 2 to v, which gives v = p + 20.\n6. Substitute p = 16 to v, which gives v = 36.\n\nThus, the final answer is v = \\boxed{36}.",
"index": 23359,
"question": "Consider a system of variables where each variable is defined as follows: j = p + 4; k = j + 13; a = f + 1; h = a + 9; d = h + 1; p = 16; n = t + 20; x = k + 8; z = n + 11; t = x + 5; f = b + 3; b = p + 2; v = d + 4. If p = 16, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"d": "j + 6", "l": "d + 17", "f": "l + 13", "s": "f + 16", "g": "s + 13", "k": "g + 6", "i": "j + 16", "y": "i + 2", "v": "y + 20", "q": "v + 18", "e": "q + 5", "w": "e + 11", "j": 18}, "premises": {"j": 18}, "target": "k"}, "answer": {"steps": [["g", "s + 13", "s + 19"], ["s", "f + 16", "f + 35"], ["f", "l + 13", "l + 48"], ["l", "d + 17", "d + 65"], ["d", "j + 6", "j + 71"], ["j", 18, "89"]], "target_var_name": "k", "target_value": 89, "value_dict": {"j": 18}, "is_reverse": true}}
| 23,360
| 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 = f + 16; l = d + 17; g = s + 13; y = i + 2; i = j + 16; q = v + 18; f = l + 13; k = g + 6; v = y + 20; d = j + 6; j = 18; e = q + 5; w = e + 11. If j = 18, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = s + 13 to k, which gives k = s + 19.\n2. Substitute s = f + 16 to k, which gives k = f + 35.\n3. Substitute f = l + 13 to k, which gives k = l + 48.\n4. Substitute l = d + 17 to k, which gives k = d + 65.\n5. Substitute d = j + 6 to k, which gives k = j + 71.\n6. Substitute j = 18 to k, which gives k = 89.\n\nThus, the final answer is k = \\boxed{89}.",
"index": 23360,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = f + 16; l = d + 17; g = s + 13; y = i + 2; i = j + 16; q = v + 18; f = l + 13; k = g + 6; v = y + 20; d = j + 6; j = 18; e = q + 5; w = e + 11. If j = 18, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"t": "d + 3", "b": "t + 11", "f": "b + 20", "l": "f + 5", "h": "l + 5", "x": "h + 9", "o": "d + 9", "w": "o + 18", "j": "w + 7", "u": "j + 14", "k": "u + 5", "n": "k + 11", "d": 14}, "premises": {"d": 14}, "target": "x"}, "answer": {"steps": [["h", "l + 5", "l + 14"], ["l", "f + 5", "f + 19"], ["f", "b + 20", "b + 39"], ["b", "t + 11", "t + 50"], ["t", "d + 3", "d + 53"], ["d", 14, "67"]], "target_var_name": "x", "target_value": 67, "value_dict": {"d": 14}, "is_reverse": true}}
| 23,361
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = d + 3; u = j + 14; n = k + 11; w = o + 18; b = t + 11; h = l + 5; f = b + 20; o = d + 9; d = 14; l = f + 5; k = u + 5; x = h + 9; j = w + 7. Given that d = 14, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = l + 5 to x, which gives x = l + 14.\n2. Substitute l = f + 5 to x, which gives x = f + 19.\n3. Substitute f = b + 20 to x, which gives x = b + 39.\n4. Substitute b = t + 11 to x, which gives x = t + 50.\n5. Substitute t = d + 3 to x, which gives x = d + 53.\n6. Substitute d = 14 to x, which gives x = 67.\n\nThus, the final answer is x = \\boxed{67}.",
"index": 23361,
"question": "Suppose a collection of variables is related by the following definitions: t = d + 3; u = j + 14; n = k + 11; w = o + 18; b = t + 11; h = l + 5; f = b + 20; o = d + 9; d = 14; l = f + 5; k = u + 5; x = h + 9; j = w + 7. Given that d = 14, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"c": "j + 18", "p": "c + 15", "h": "p + 16", "d": "h + 13", "r": "d + 17", "w": "r + 8", "y": "j + 18", "s": "y + 3", "n": "s + 16", "o": "n + 9", "k": "o + 6", "u": "k + 15", "j": 3}, "premises": {"j": 3}, "target": "w"}, "answer": {"steps": [["r", "d + 17", "d + 25"], ["d", "h + 13", "h + 38"], ["h", "p + 16", "p + 54"], ["p", "c + 15", "c + 69"], ["c", "j + 18", "j + 87"], ["j", 3, "90"]], "target_var_name": "w", "target_value": 90, "value_dict": {"j": 3}, "is_reverse": true}}
| 23,362
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = c + 15; k = o + 6; n = s + 16; d = h + 13; c = j + 18; w = r + 8; h = p + 16; o = n + 9; r = d + 17; j = 3; u = k + 15; s = y + 3; y = j + 18. Given that j = 3, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = d + 17 to w, which gives w = d + 25.\n2. Substitute d = h + 13 to w, which gives w = h + 38.\n3. Substitute h = p + 16 to w, which gives w = p + 54.\n4. Substitute p = c + 15 to w, which gives w = c + 69.\n5. Substitute c = j + 18 to w, which gives w = j + 87.\n6. Substitute j = 3 to w, which gives w = 90.\n\nThus, the final answer is w = \\boxed{90}.",
"index": 23362,
"question": "Suppose a collection of variables is related by the following definitions: p = c + 15; k = o + 6; n = s + 16; d = h + 13; c = j + 18; w = r + 8; h = p + 16; o = n + 9; r = d + 17; j = 3; u = k + 15; s = y + 3; y = j + 18. Given that j = 3, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"m": "i + 17", "g": "m + 10", "f": "g + 20", "o": "f + 16", "y": "o + 16", "j": "y + 6", "e": "i + 1", "b": "e + 18", "z": "b + 16", "t": "z + 11", "q": "t + 11", "w": "q + 2", "i": 10}, "premises": {"i": 10}, "target": "j"}, "answer": {"steps": [["y", "o + 16", "o + 22"], ["o", "f + 16", "f + 38"], ["f", "g + 20", "g + 58"], ["g", "m + 10", "m + 68"], ["m", "i + 17", "i + 85"], ["i", 10, "95"]], "target_var_name": "j", "target_value": 95, "value_dict": {"i": 10}, "is_reverse": true}}
| 23,363
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = o + 16; w = q + 2; j = y + 6; t = z + 11; g = m + 10; q = t + 11; o = f + 16; m = i + 17; z = b + 16; e = i + 1; b = e + 18; i = 10; f = g + 20. If i = 10, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = o + 16 to j, which gives j = o + 22.\n2. Substitute o = f + 16 to j, which gives j = f + 38.\n3. Substitute f = g + 20 to j, which gives j = g + 58.\n4. Substitute g = m + 10 to j, which gives j = m + 68.\n5. Substitute m = i + 17 to j, which gives j = i + 85.\n6. Substitute i = 10 to j, which gives j = 95.\n\nThus, the final answer is j = \\boxed{95}.",
"index": 23363,
"question": "Consider a system of variables where each variable is defined as follows: y = o + 16; w = q + 2; j = y + 6; t = z + 11; g = m + 10; q = t + 11; o = f + 16; m = i + 17; z = b + 16; e = i + 1; b = e + 18; i = 10; f = g + 20. If i = 10, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"z": "d + 3", "b": "z + 15", "x": "b + 11", "k": "x + 20", "o": "k + 15", "f": "o + 15", "u": "d + 14", "q": "u + 4", "s": "q + 20", "v": "s + 16", "p": "v + 11", "t": "p + 1", "d": 6}, "premises": {"d": 6}, "target": "f"}, "answer": {"steps": [["o", "k + 15", "k + 30"], ["k", "x + 20", "x + 50"], ["x", "b + 11", "b + 61"], ["b", "z + 15", "z + 76"], ["z", "d + 3", "d + 79"], ["d", 6, "85"]], "target_var_name": "f", "target_value": 85, "value_dict": {"d": 6}, "is_reverse": true}}
| 23,364
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = s + 16; f = o + 15; q = u + 4; t = p + 1; b = z + 15; x = b + 11; u = d + 14; z = d + 3; d = 6; p = v + 11; s = q + 20; k = x + 20; o = k + 15. Given that d = 6, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = k + 15 to f, which gives f = k + 30.\n2. Substitute k = x + 20 to f, which gives f = x + 50.\n3. Substitute x = b + 11 to f, which gives f = b + 61.\n4. Substitute b = z + 15 to f, which gives f = z + 76.\n5. Substitute z = d + 3 to f, which gives f = d + 79.\n6. Substitute d = 6 to f, which gives f = 85.\n\nThus, the final answer is f = \\boxed{85}.",
"index": 23364,
"question": "Suppose a collection of variables is related by the following definitions: v = s + 16; f = o + 15; q = u + 4; t = p + 1; b = z + 15; x = b + 11; u = d + 14; z = d + 3; d = 6; p = v + 11; s = q + 20; k = x + 20; o = k + 15. Given that d = 6, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"u": "w + 18", "n": "u + 6", "q": "n + 19", "k": "q + 13", "e": "k + 7", "o": "e + 11", "p": "w + 15", "f": "p + 10", "z": "f + 13", "x": "z + 17", "g": "x + 1", "m": "g + 5", "w": 16}, "premises": {"w": 16}, "target": "o"}, "answer": {"steps": [["e", "k + 7", "k + 18"], ["k", "q + 13", "q + 31"], ["q", "n + 19", "n + 50"], ["n", "u + 6", "u + 56"], ["u", "w + 18", "w + 74"], ["w", 16, "90"]], "target_var_name": "o", "target_value": 90, "value_dict": {"w": 16}, "is_reverse": true}}
| 23,365
| 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 = g + 5; q = n + 19; u = w + 18; k = q + 13; g = x + 1; x = z + 17; w = 16; n = u + 6; z = f + 13; p = w + 15; f = p + 10; o = e + 11; e = k + 7. If w = 16, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = k + 7 to o, which gives o = k + 18.\n2. Substitute k = q + 13 to o, which gives o = q + 31.\n3. Substitute q = n + 19 to o, which gives o = n + 50.\n4. Substitute n = u + 6 to o, which gives o = u + 56.\n5. Substitute u = w + 18 to o, which gives o = w + 74.\n6. Substitute w = 16 to o, which gives o = 90.\n\nThus, the final answer is o = \\boxed{90}.",
"index": 23365,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = g + 5; q = n + 19; u = w + 18; k = q + 13; g = x + 1; x = z + 17; w = 16; n = u + 6; z = f + 13; p = w + 15; f = p + 10; o = e + 11; e = k + 7. If w = 16, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"i": "p + 19", "d": "i + 15", "y": "d + 18", "v": "y + 19", "q": "v + 12", "b": "q + 10", "k": "p + 18", "f": "k + 12", "o": "f + 18", "j": "o + 12", "r": "j + 19", "m": "r + 14", "p": 5}, "premises": {"p": 5}, "target": "b"}, "answer": {"steps": [["q", "v + 12", "v + 22"], ["v", "y + 19", "y + 41"], ["y", "d + 18", "d + 59"], ["d", "i + 15", "i + 74"], ["i", "p + 19", "p + 93"], ["p", 5, "98"]], "target_var_name": "b", "target_value": 98, "value_dict": {"p": 5}, "is_reverse": true}}
| 23,366
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = d + 18; v = y + 19; d = i + 15; i = p + 19; j = o + 12; o = f + 18; f = k + 12; q = v + 12; m = r + 14; k = p + 18; r = j + 19; p = 5; b = q + 10. If p = 5, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 98,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = v + 12 to b, which gives b = v + 22.\n2. Substitute v = y + 19 to b, which gives b = y + 41.\n3. Substitute y = d + 18 to b, which gives b = d + 59.\n4. Substitute d = i + 15 to b, which gives b = i + 74.\n5. Substitute i = p + 19 to b, which gives b = p + 93.\n6. Substitute p = 5 to b, which gives b = 98.\n\nThus, the final answer is b = \\boxed{98}.",
"index": 23366,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = d + 18; v = y + 19; d = i + 15; i = p + 19; j = o + 12; o = f + 18; f = k + 12; q = v + 12; m = r + 14; k = p + 18; r = j + 19; p = 5; b = q + 10. If p = 5, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"p": "g + 12", "j": "p + 9", "l": "j + 1", "k": "l + 12", "m": "k + 1", "y": "m + 6", "o": "g + 15", "q": "o + 20", "t": "q + 17", "e": "t + 2", "w": "e + 3", "v": "w + 14", "g": 13}, "premises": {"g": 13}, "target": "y"}, "answer": {"steps": [["m", "k + 1", "k + 7"], ["k", "l + 12", "l + 19"], ["l", "j + 1", "j + 20"], ["j", "p + 9", "p + 29"], ["p", "g + 12", "g + 41"], ["g", 13, "54"]], "target_var_name": "y", "target_value": 54, "value_dict": {"g": 13}, "is_reverse": true}}
| 23,367
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = j + 1; w = e + 3; t = q + 17; v = w + 14; k = l + 12; y = m + 6; p = g + 12; e = t + 2; g = 13; q = o + 20; o = g + 15; j = p + 9; m = k + 1. If g = 13, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = k + 1 to y, which gives y = k + 7.\n2. Substitute k = l + 12 to y, which gives y = l + 19.\n3. Substitute l = j + 1 to y, which gives y = j + 20.\n4. Substitute j = p + 9 to y, which gives y = p + 29.\n5. Substitute p = g + 12 to y, which gives y = g + 41.\n6. Substitute g = 13 to y, which gives y = 54.\n\nThus, the final answer is y = \\boxed{54}.",
"index": 23367,
"question": "Consider a system of variables where each variable is defined as follows: l = j + 1; w = e + 3; t = q + 17; v = w + 14; k = l + 12; y = m + 6; p = g + 12; e = t + 2; g = 13; q = o + 20; o = g + 15; j = p + 9; m = k + 1. If g = 13, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"a": "u + 7", "v": "a + 5", "x": "v + 11", "g": "x + 12", "h": "g + 9", "n": "h + 14", "r": "u + 20", "t": "r + 16", "l": "t + 14", "q": "l + 19", "d": "q + 15", "j": "d + 18", "u": 10}, "premises": {"u": 10}, "target": "n"}, "answer": {"steps": [["h", "g + 9", "g + 23"], ["g", "x + 12", "x + 35"], ["x", "v + 11", "v + 46"], ["v", "a + 5", "a + 51"], ["a", "u + 7", "u + 58"], ["u", 10, "68"]], "target_var_name": "n", "target_value": 68, "value_dict": {"u": 10}, "is_reverse": true}}
| 23,368
| 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 = u + 7; x = v + 11; j = d + 18; l = t + 14; q = l + 19; t = r + 16; d = q + 15; h = g + 9; v = a + 5; u = 10; g = x + 12; n = h + 14; r = u + 20. If u = 10, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = g + 9 to n, which gives n = g + 23.\n2. Substitute g = x + 12 to n, which gives n = x + 35.\n3. Substitute x = v + 11 to n, which gives n = v + 46.\n4. Substitute v = a + 5 to n, which gives n = a + 51.\n5. Substitute a = u + 7 to n, which gives n = u + 58.\n6. Substitute u = 10 to n, which gives n = 68.\n\nThus, the final answer is n = \\boxed{68}.",
"index": 23368,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = u + 7; x = v + 11; j = d + 18; l = t + 14; q = l + 19; t = r + 16; d = q + 15; h = g + 9; v = a + 5; u = 10; g = x + 12; n = h + 14; r = u + 20. If u = 10, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"l": "d + 20", "u": "l + 3", "x": "u + 4", "e": "x + 4", "i": "e + 12", "p": "i + 10", "j": "d + 20", "t": "j + 13", "z": "t + 16", "a": "z + 18", "y": "a + 18", "c": "y + 14", "d": 15}, "premises": {"d": 15}, "target": "p"}, "answer": {"steps": [["i", "e + 12", "e + 22"], ["e", "x + 4", "x + 26"], ["x", "u + 4", "u + 30"], ["u", "l + 3", "l + 33"], ["l", "d + 20", "d + 53"], ["d", 15, "68"]], "target_var_name": "p", "target_value": 68, "value_dict": {"d": 15}, "is_reverse": true}}
| 23,369
| 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 = 15; u = l + 3; z = t + 16; e = x + 4; y = a + 18; i = e + 12; x = u + 4; p = i + 10; c = y + 14; a = z + 18; t = j + 13; l = d + 20; j = d + 20. If d = 15, what is the resulting 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 i = e + 12 to p, which gives p = e + 22.\n2. Substitute e = x + 4 to p, which gives p = x + 26.\n3. Substitute x = u + 4 to p, which gives p = u + 30.\n4. Substitute u = l + 3 to p, which gives p = l + 33.\n5. Substitute l = d + 20 to p, which gives p = d + 53.\n6. Substitute d = 15 to p, which gives p = 68.\n\nThus, the final answer is p = \\boxed{68}.",
"index": 23369,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = 15; u = l + 3; z = t + 16; e = x + 4; y = a + 18; i = e + 12; x = u + 4; p = i + 10; c = y + 14; a = z + 18; t = j + 13; l = d + 20; j = d + 20. If d = 15, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"s": "n + 17", "h": "s + 2", "d": "h + 4", "z": "d + 13", "g": "z + 2", "v": "g + 19", "u": "n + 18", "j": "u + 2", "c": "j + 10", "m": "c + 4", "r": "m + 9", "y": "r + 1", "n": 17}, "premises": {"n": 17}, "target": "v"}, "answer": {"steps": [["g", "z + 2", "z + 21"], ["z", "d + 13", "d + 34"], ["d", "h + 4", "h + 38"], ["h", "s + 2", "s + 40"], ["s", "n + 17", "n + 57"], ["n", 17, "74"]], "target_var_name": "v", "target_value": 74, "value_dict": {"n": 17}, "is_reverse": true}}
| 23,370
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = u + 2; u = n + 18; r = m + 9; z = d + 13; y = r + 1; h = s + 2; v = g + 19; m = c + 4; d = h + 4; g = z + 2; c = j + 10; n = 17; s = n + 17. Given that n = 17, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = z + 2 to v, which gives v = z + 21.\n2. Substitute z = d + 13 to v, which gives v = d + 34.\n3. Substitute d = h + 4 to v, which gives v = h + 38.\n4. Substitute h = s + 2 to v, which gives v = s + 40.\n5. Substitute s = n + 17 to v, which gives v = n + 57.\n6. Substitute n = 17 to v, which gives v = 74.\n\nThus, the final answer is v = \\boxed{74}.",
"index": 23370,
"question": "Suppose a collection of variables is related by the following definitions: j = u + 2; u = n + 18; r = m + 9; z = d + 13; y = r + 1; h = s + 2; v = g + 19; m = c + 4; d = h + 4; g = z + 2; c = j + 10; n = 17; s = n + 17. Given that n = 17, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"c": "v + 13", "h": "c + 13", "k": "h + 7", "w": "k + 12", "i": "w + 2", "f": "i + 20", "b": "v + 18", "e": "b + 5", "a": "e + 19", "y": "a + 18", "j": "y + 11", "l": "j + 14", "v": 5}, "premises": {"v": 5}, "target": "f"}, "answer": {"steps": [["i", "w + 2", "w + 22"], ["w", "k + 12", "k + 34"], ["k", "h + 7", "h + 41"], ["h", "c + 13", "c + 54"], ["c", "v + 13", "v + 67"], ["v", 5, "72"]], "target_var_name": "f", "target_value": 72, "value_dict": {"v": 5}, "is_reverse": true}}
| 23,371
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = k + 12; i = w + 2; h = c + 13; y = a + 18; v = 5; c = v + 13; l = j + 14; k = h + 7; a = e + 19; j = y + 11; f = i + 20; b = v + 18; e = b + 5. If v = 5, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = w + 2 to f, which gives f = w + 22.\n2. Substitute w = k + 12 to f, which gives f = k + 34.\n3. Substitute k = h + 7 to f, which gives f = h + 41.\n4. Substitute h = c + 13 to f, which gives f = c + 54.\n5. Substitute c = v + 13 to f, which gives f = v + 67.\n6. Substitute v = 5 to f, which gives f = 72.\n\nThus, the final answer is f = \\boxed{72}.",
"index": 23371,
"question": "Consider a system of variables where each variable is defined as follows: w = k + 12; i = w + 2; h = c + 13; y = a + 18; v = 5; c = v + 13; l = j + 14; k = h + 7; a = e + 19; j = y + 11; f = i + 20; b = v + 18; e = b + 5. If v = 5, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"s": "a + 10", "f": "s + 1", "v": "f + 16", "y": "v + 4", "i": "y + 4", "l": "i + 10", "j": "a + 8", "m": "j + 8", "c": "m + 11", "w": "c + 1", "z": "w + 15", "x": "z + 12", "a": 16}, "premises": {"a": 16}, "target": "l"}, "answer": {"steps": [["i", "y + 4", "y + 14"], ["y", "v + 4", "v + 18"], ["v", "f + 16", "f + 34"], ["f", "s + 1", "s + 35"], ["s", "a + 10", "a + 45"], ["a", 16, "61"]], "target_var_name": "l", "target_value": 61, "value_dict": {"a": 16}, "is_reverse": true}}
| 23,372
| 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 = f + 16; s = a + 10; z = w + 15; i = y + 4; y = v + 4; a = 16; w = c + 1; m = j + 8; c = m + 11; l = i + 10; x = z + 12; j = a + 8; f = s + 1. If a = 16, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = y + 4 to l, which gives l = y + 14.\n2. Substitute y = v + 4 to l, which gives l = v + 18.\n3. Substitute v = f + 16 to l, which gives l = f + 34.\n4. Substitute f = s + 1 to l, which gives l = s + 35.\n5. Substitute s = a + 10 to l, which gives l = a + 45.\n6. Substitute a = 16 to l, which gives l = 61.\n\nThus, the final answer is l = \\boxed{61}.",
"index": 23372,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = f + 16; s = a + 10; z = w + 15; i = y + 4; y = v + 4; a = 16; w = c + 1; m = j + 8; c = m + 11; l = i + 10; x = z + 12; j = a + 8; f = s + 1. If a = 16, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"y": "l + 7", "o": "y + 18", "f": "o + 18", "e": "f + 10", "j": "e + 18", "m": "j + 13", "x": "l + 10", "v": "x + 19", "s": "v + 20", "n": "s + 12", "u": "n + 9", "w": "u + 12", "l": 20}, "premises": {"l": 20}, "target": "m"}, "answer": {"steps": [["j", "e + 18", "e + 31"], ["e", "f + 10", "f + 41"], ["f", "o + 18", "o + 59"], ["o", "y + 18", "y + 77"], ["y", "l + 7", "l + 84"], ["l", 20, "104"]], "target_var_name": "m", "target_value": 104, "value_dict": {"l": 20}, "is_reverse": true}}
| 23,373
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = s + 12; v = x + 19; m = j + 13; j = e + 18; w = u + 12; u = n + 9; x = l + 10; l = 20; e = f + 10; s = v + 20; o = y + 18; f = o + 18; y = l + 7. Given that l = 20, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 104,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = e + 18 to m, which gives m = e + 31.\n2. Substitute e = f + 10 to m, which gives m = f + 41.\n3. Substitute f = o + 18 to m, which gives m = o + 59.\n4. Substitute o = y + 18 to m, which gives m = y + 77.\n5. Substitute y = l + 7 to m, which gives m = l + 84.\n6. Substitute l = 20 to m, which gives m = 104.\n\nThus, the final answer is m = \\boxed{104}.",
"index": 23373,
"question": "Suppose a collection of variables is related by the following definitions: n = s + 12; v = x + 19; m = j + 13; j = e + 18; w = u + 12; u = n + 9; x = l + 10; l = 20; e = f + 10; s = v + 20; o = y + 18; f = o + 18; y = l + 7. Given that l = 20, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"k": "j + 3", "g": "k + 14", "f": "g + 7", "h": "f + 17", "i": "h + 16", "o": "i + 6", "s": "j + 9", "q": "s + 7", "l": "q + 9", "b": "l + 5", "p": "b + 5", "r": "p + 15", "j": 2}, "premises": {"j": 2}, "target": "o"}, "answer": {"steps": [["i", "h + 16", "h + 22"], ["h", "f + 17", "f + 39"], ["f", "g + 7", "g + 46"], ["g", "k + 14", "k + 60"], ["k", "j + 3", "j + 63"], ["j", 2, "65"]], "target_var_name": "o", "target_value": 65, "value_dict": {"j": 2}, "is_reverse": true}}
| 23,374
| 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 = 2; p = b + 5; q = s + 7; i = h + 16; h = f + 17; o = i + 6; s = j + 9; b = l + 5; k = j + 3; g = k + 14; f = g + 7; r = p + 15; l = q + 9. If j = 2, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = h + 16 to o, which gives o = h + 22.\n2. Substitute h = f + 17 to o, which gives o = f + 39.\n3. Substitute f = g + 7 to o, which gives o = g + 46.\n4. Substitute g = k + 14 to o, which gives o = k + 60.\n5. Substitute k = j + 3 to o, which gives o = j + 63.\n6. Substitute j = 2 to o, which gives o = 65.\n\nThus, the final answer is o = \\boxed{65}.",
"index": 23374,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = 2; p = b + 5; q = s + 7; i = h + 16; h = f + 17; o = i + 6; s = j + 9; b = l + 5; k = j + 3; g = k + 14; f = g + 7; r = p + 15; l = q + 9. If j = 2, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"m": "a + 7", "v": "m + 17", "z": "v + 11", "c": "z + 11", "j": "c + 6", "n": "j + 20", "y": "a + 12", "i": "y + 15", "g": "i + 14", "r": "g + 13", "l": "r + 14", "t": "l + 3", "a": 20}, "premises": {"a": 20}, "target": "n"}, "answer": {"steps": [["j", "c + 6", "c + 26"], ["c", "z + 11", "z + 37"], ["z", "v + 11", "v + 48"], ["v", "m + 17", "m + 65"], ["m", "a + 7", "a + 72"], ["a", 20, "92"]], "target_var_name": "n", "target_value": 92, "value_dict": {"a": 20}, "is_reverse": true}}
| 23,375
| 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 = a + 12; v = m + 17; t = l + 3; n = j + 20; z = v + 11; i = y + 15; a = 20; l = r + 14; m = a + 7; j = c + 6; g = i + 14; r = g + 13; c = z + 11. If a = 20, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = c + 6 to n, which gives n = c + 26.\n2. Substitute c = z + 11 to n, which gives n = z + 37.\n3. Substitute z = v + 11 to n, which gives n = v + 48.\n4. Substitute v = m + 17 to n, which gives n = m + 65.\n5. Substitute m = a + 7 to n, which gives n = a + 72.\n6. Substitute a = 20 to n, which gives n = 92.\n\nThus, the final answer is n = \\boxed{92}.",
"index": 23375,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = a + 12; v = m + 17; t = l + 3; n = j + 20; z = v + 11; i = y + 15; a = 20; l = r + 14; m = a + 7; j = c + 6; g = i + 14; r = g + 13; c = z + 11. If a = 20, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"l": "k + 6", "p": "l + 4", "v": "p + 19", "y": "v + 10", "g": "y + 20", "s": "g + 7", "x": "k + 16", "a": "x + 14", "t": "a + 2", "z": "t + 4", "d": "z + 15", "j": "d + 8", "k": 4}, "premises": {"k": 4}, "target": "s"}, "answer": {"steps": [["g", "y + 20", "y + 27"], ["y", "v + 10", "v + 37"], ["v", "p + 19", "p + 56"], ["p", "l + 4", "l + 60"], ["l", "k + 6", "k + 66"], ["k", 4, "70"]], "target_var_name": "s", "target_value": 70, "value_dict": {"k": 4}, "is_reverse": true}}
| 23,376
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = d + 8; z = t + 4; s = g + 7; k = 4; l = k + 6; v = p + 19; a = x + 14; t = a + 2; y = v + 10; p = l + 4; d = z + 15; x = k + 16; g = y + 20. If k = 4, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = y + 20 to s, which gives s = y + 27.\n2. Substitute y = v + 10 to s, which gives s = v + 37.\n3. Substitute v = p + 19 to s, which gives s = p + 56.\n4. Substitute p = l + 4 to s, which gives s = l + 60.\n5. Substitute l = k + 6 to s, which gives s = k + 66.\n6. Substitute k = 4 to s, which gives s = 70.\n\nThus, the final answer is s = \\boxed{70}.",
"index": 23376,
"question": "Consider a system of variables where each variable is defined as follows: j = d + 8; z = t + 4; s = g + 7; k = 4; l = k + 6; v = p + 19; a = x + 14; t = a + 2; y = v + 10; p = l + 4; d = z + 15; x = k + 16; g = y + 20. If k = 4, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"w": "u + 15", "c": "w + 16", "e": "c + 4", "v": "e + 2", "f": "v + 4", "o": "f + 5", "s": "u + 11", "b": "s + 19", "i": "b + 6", "r": "i + 1", "t": "r + 13", "y": "t + 7", "u": 14}, "premises": {"u": 14}, "target": "o"}, "answer": {"steps": [["f", "v + 4", "v + 9"], ["v", "e + 2", "e + 11"], ["e", "c + 4", "c + 15"], ["c", "w + 16", "w + 31"], ["w", "u + 15", "u + 46"], ["u", 14, "60"]], "target_var_name": "o", "target_value": 60, "value_dict": {"u": 14}, "is_reverse": true}}
| 23,377
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = f + 5; s = u + 11; f = v + 4; i = b + 6; e = c + 4; w = u + 15; y = t + 7; b = s + 19; c = w + 16; r = i + 1; t = r + 13; v = e + 2; u = 14. Given that u = 14, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = v + 4 to o, which gives o = v + 9.\n2. Substitute v = e + 2 to o, which gives o = e + 11.\n3. Substitute e = c + 4 to o, which gives o = c + 15.\n4. Substitute c = w + 16 to o, which gives o = w + 31.\n5. Substitute w = u + 15 to o, which gives o = u + 46.\n6. Substitute u = 14 to o, which gives o = 60.\n\nThus, the final answer is o = \\boxed{60}.",
"index": 23377,
"question": "Suppose a collection of variables is related by the following definitions: o = f + 5; s = u + 11; f = v + 4; i = b + 6; e = c + 4; w = u + 15; y = t + 7; b = s + 19; c = w + 16; r = i + 1; t = r + 13; v = e + 2; u = 14. Given that u = 14, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"w": "q + 20", "z": "w + 12", "p": "z + 13", "o": "p + 19", "g": "o + 5", "a": "g + 7", "i": "q + 1", "l": "i + 7", "x": "l + 19", "d": "x + 17", "t": "d + 6", "j": "t + 7", "q": 5}, "premises": {"q": 5}, "target": "a"}, "answer": {"steps": [["g", "o + 5", "o + 12"], ["o", "p + 19", "p + 31"], ["p", "z + 13", "z + 44"], ["z", "w + 12", "w + 56"], ["w", "q + 20", "q + 76"], ["q", 5, "81"]], "target_var_name": "a", "target_value": 81, "value_dict": {"q": 5}, "is_reverse": true}}
| 23,378
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = w + 12; o = p + 19; i = q + 1; l = i + 7; q = 5; g = o + 5; p = z + 13; t = d + 6; d = x + 17; a = g + 7; j = t + 7; x = l + 19; w = q + 20. Given that q = 5, find the 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 g = o + 5 to a, which gives a = o + 12.\n2. Substitute o = p + 19 to a, which gives a = p + 31.\n3. Substitute p = z + 13 to a, which gives a = z + 44.\n4. Substitute z = w + 12 to a, which gives a = w + 56.\n5. Substitute w = q + 20 to a, which gives a = q + 76.\n6. Substitute q = 5 to a, which gives a = 81.\n\nThus, the final answer is a = \\boxed{81}.",
"index": 23378,
"question": "Suppose a collection of variables is related by the following definitions: z = w + 12; o = p + 19; i = q + 1; l = i + 7; q = 5; g = o + 5; p = z + 13; t = d + 6; d = x + 17; a = g + 7; j = t + 7; x = l + 19; w = q + 20. Given that q = 5, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"o": "l + 19", "n": "o + 19", "x": "n + 15", "f": "x + 8", "z": "f + 1", "g": "z + 14", "e": "l + 12", "k": "e + 16", "a": "k + 11", "d": "a + 17", "p": "d + 1", "j": "p + 19", "l": 12}, "premises": {"l": 12}, "target": "g"}, "answer": {"steps": [["z", "f + 1", "f + 15"], ["f", "x + 8", "x + 23"], ["x", "n + 15", "n + 38"], ["n", "o + 19", "o + 57"], ["o", "l + 19", "l + 76"], ["l", 12, "88"]], "target_var_name": "g", "target_value": 88, "value_dict": {"l": 12}, "is_reverse": true}}
| 23,379
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = 12; j = p + 19; z = f + 1; f = x + 8; n = o + 19; a = k + 11; x = n + 15; o = l + 19; p = d + 1; k = e + 16; g = z + 14; e = l + 12; d = a + 17. If l = 12, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = f + 1 to g, which gives g = f + 15.\n2. Substitute f = x + 8 to g, which gives g = x + 23.\n3. Substitute x = n + 15 to g, which gives g = n + 38.\n4. Substitute n = o + 19 to g, which gives g = o + 57.\n5. Substitute o = l + 19 to g, which gives g = l + 76.\n6. Substitute l = 12 to g, which gives g = 88.\n\nThus, the final answer is g = \\boxed{88}.",
"index": 23379,
"question": "Consider a system of variables where each variable is defined as follows: l = 12; j = p + 19; z = f + 1; f = x + 8; n = o + 19; a = k + 11; x = n + 15; o = l + 19; p = d + 1; k = e + 16; g = z + 14; e = l + 12; d = a + 17. If l = 12, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"n": "w + 11", "k": "n + 17", "e": "k + 4", "j": "e + 5", "c": "j + 19", "l": "c + 3", "d": "w + 10", "v": "d + 6", "f": "v + 8", "h": "f + 18", "z": "h + 19", "s": "z + 1", "w": 17}, "premises": {"w": 17}, "target": "l"}, "answer": {"steps": [["c", "j + 19", "j + 22"], ["j", "e + 5", "e + 27"], ["e", "k + 4", "k + 31"], ["k", "n + 17", "n + 48"], ["n", "w + 11", "w + 59"], ["w", 17, "76"]], "target_var_name": "l", "target_value": 76, "value_dict": {"w": 17}, "is_reverse": true}}
| 23,380
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = d + 6; s = z + 1; e = k + 4; c = j + 19; l = c + 3; w = 17; d = w + 10; f = v + 8; k = n + 17; h = f + 18; n = w + 11; j = e + 5; z = h + 19. Given that w = 17, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = j + 19 to l, which gives l = j + 22.\n2. Substitute j = e + 5 to l, which gives l = e + 27.\n3. Substitute e = k + 4 to l, which gives l = k + 31.\n4. Substitute k = n + 17 to l, which gives l = n + 48.\n5. Substitute n = w + 11 to l, which gives l = w + 59.\n6. Substitute w = 17 to l, which gives l = 76.\n\nThus, the final answer is l = \\boxed{76}.",
"index": 23380,
"question": "Suppose a collection of variables is related by the following definitions: v = d + 6; s = z + 1; e = k + 4; c = j + 19; l = c + 3; w = 17; d = w + 10; f = v + 8; k = n + 17; h = f + 18; n = w + 11; j = e + 5; z = h + 19. Given that w = 17, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"p": "d + 3", "n": "p + 7", "e": "n + 13", "y": "e + 12", "u": "y + 8", "f": "u + 4", "j": "d + 7", "k": "j + 8", "x": "k + 5", "b": "x + 18", "i": "b + 12", "r": "i + 10", "d": 5}, "premises": {"d": 5}, "target": "f"}, "answer": {"steps": [["u", "y + 8", "y + 12"], ["y", "e + 12", "e + 24"], ["e", "n + 13", "n + 37"], ["n", "p + 7", "p + 44"], ["p", "d + 3", "d + 47"], ["d", 5, "52"]], "target_var_name": "f", "target_value": 52, "value_dict": {"d": 5}, "is_reverse": true}}
| 23,381
| 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 = b + 12; u = y + 8; x = k + 5; d = 5; e = n + 13; j = d + 7; y = e + 12; p = d + 3; n = p + 7; k = j + 8; b = x + 18; f = u + 4; r = i + 10. If d = 5, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 52,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = y + 8 to f, which gives f = y + 12.\n2. Substitute y = e + 12 to f, which gives f = e + 24.\n3. Substitute e = n + 13 to f, which gives f = n + 37.\n4. Substitute n = p + 7 to f, which gives f = p + 44.\n5. Substitute p = d + 3 to f, which gives f = d + 47.\n6. Substitute d = 5 to f, which gives f = 52.\n\nThus, the final answer is f = \\boxed{52}.",
"index": 23381,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = b + 12; u = y + 8; x = k + 5; d = 5; e = n + 13; j = d + 7; y = e + 12; p = d + 3; n = p + 7; k = j + 8; b = x + 18; f = u + 4; r = i + 10. If d = 5, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"h": "t + 17", "e": "h + 5", "l": "e + 13", "d": "l + 6", "g": "d + 14", "c": "g + 15", "k": "t + 19", "y": "k + 8", "f": "y + 2", "b": "f + 9", "n": "b + 12", "i": "n + 11", "t": 2}, "premises": {"t": 2}, "target": "c"}, "answer": {"steps": [["g", "d + 14", "d + 29"], ["d", "l + 6", "l + 35"], ["l", "e + 13", "e + 48"], ["e", "h + 5", "h + 53"], ["h", "t + 17", "t + 70"], ["t", 2, "72"]], "target_var_name": "c", "target_value": 72, "value_dict": {"t": 2}, "is_reverse": true}}
| 23,382
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = f + 9; t = 2; f = y + 2; h = t + 17; g = d + 14; c = g + 15; d = l + 6; n = b + 12; e = h + 5; i = n + 11; y = k + 8; l = e + 13; k = t + 19. Given that t = 2, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = d + 14 to c, which gives c = d + 29.\n2. Substitute d = l + 6 to c, which gives c = l + 35.\n3. Substitute l = e + 13 to c, which gives c = e + 48.\n4. Substitute e = h + 5 to c, which gives c = h + 53.\n5. Substitute h = t + 17 to c, which gives c = t + 70.\n6. Substitute t = 2 to c, which gives c = 72.\n\nThus, the final answer is c = \\boxed{72}.",
"index": 23382,
"question": "Suppose a collection of variables is related by the following definitions: b = f + 9; t = 2; f = y + 2; h = t + 17; g = d + 14; c = g + 15; d = l + 6; n = b + 12; e = h + 5; i = n + 11; y = k + 8; l = e + 13; k = t + 19. Given that t = 2, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"i": "l + 9", "t": "i + 1", "z": "t + 2", "q": "z + 8", "y": "q + 4", "b": "y + 12", "e": "l + 10", "d": "e + 15", "c": "d + 8", "j": "c + 5", "k": "j + 5", "x": "k + 19", "l": 9}, "premises": {"l": 9}, "target": "b"}, "answer": {"steps": [["y", "q + 4", "q + 16"], ["q", "z + 8", "z + 24"], ["z", "t + 2", "t + 26"], ["t", "i + 1", "i + 27"], ["i", "l + 9", "l + 36"], ["l", 9, "45"]], "target_var_name": "b", "target_value": 45, "value_dict": {"l": 9}, "is_reverse": true}}
| 23,383
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = i + 1; d = e + 15; k = j + 5; l = 9; x = k + 19; j = c + 5; y = q + 4; z = t + 2; c = d + 8; i = l + 9; q = z + 8; e = l + 10; b = y + 12. If l = 9, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 45,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = q + 4 to b, which gives b = q + 16.\n2. Substitute q = z + 8 to b, which gives b = z + 24.\n3. Substitute z = t + 2 to b, which gives b = t + 26.\n4. Substitute t = i + 1 to b, which gives b = i + 27.\n5. Substitute i = l + 9 to b, which gives b = l + 36.\n6. Substitute l = 9 to b, which gives b = 45.\n\nThus, the final answer is b = \\boxed{45}.",
"index": 23383,
"question": "Consider a system of variables where each variable is defined as follows: t = i + 1; d = e + 15; k = j + 5; l = 9; x = k + 19; j = c + 5; y = q + 4; z = t + 2; c = d + 8; i = l + 9; q = z + 8; e = l + 10; b = y + 12. If l = 9, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"n": "b + 1", "v": "n + 14", "s": "v + 19", "t": "s + 6", "c": "t + 2", "g": "c + 8", "z": "b + 5", "x": "z + 13", "r": "x + 18", "j": "r + 12", "y": "j + 5", "a": "y + 8", "b": 4}, "premises": {"b": 4}, "target": "g"}, "answer": {"steps": [["c", "t + 2", "t + 10"], ["t", "s + 6", "s + 16"], ["s", "v + 19", "v + 35"], ["v", "n + 14", "n + 49"], ["n", "b + 1", "b + 50"], ["b", 4, "54"]], "target_var_name": "g", "target_value": 54, "value_dict": {"b": 4}, "is_reverse": true}}
| 23,384
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = s + 6; v = n + 14; z = b + 5; n = b + 1; c = t + 2; x = z + 13; g = c + 8; j = r + 12; b = 4; r = x + 18; a = y + 8; s = v + 19; y = j + 5. If b = 4, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = t + 2 to g, which gives g = t + 10.\n2. Substitute t = s + 6 to g, which gives g = s + 16.\n3. Substitute s = v + 19 to g, which gives g = v + 35.\n4. Substitute v = n + 14 to g, which gives g = n + 49.\n5. Substitute n = b + 1 to g, which gives g = b + 50.\n6. Substitute b = 4 to g, which gives g = 54.\n\nThus, the final answer is g = \\boxed{54}.",
"index": 23384,
"question": "Consider a system of variables where each variable is defined as follows: t = s + 6; v = n + 14; z = b + 5; n = b + 1; c = t + 2; x = z + 13; g = c + 8; j = r + 12; b = 4; r = x + 18; a = y + 8; s = v + 19; y = j + 5. If b = 4, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"q": "z + 16", "e": "q + 15", "a": "e + 16", "t": "a + 15", "s": "t + 15", "p": "s + 11", "j": "z + 3", "h": "j + 2", "o": "h + 4", "y": "o + 16", "k": "y + 3", "u": "k + 3", "z": 7}, "premises": {"z": 7}, "target": "p"}, "answer": {"steps": [["s", "t + 15", "t + 26"], ["t", "a + 15", "a + 41"], ["a", "e + 16", "e + 57"], ["e", "q + 15", "q + 72"], ["q", "z + 16", "z + 88"], ["z", 7, "95"]], "target_var_name": "p", "target_value": 95, "value_dict": {"z": 7}, "is_reverse": true}}
| 23,385
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = z + 3; q = z + 16; t = a + 15; u = k + 3; z = 7; p = s + 11; h = j + 2; s = t + 15; k = y + 3; a = e + 16; e = q + 15; o = h + 4; y = o + 16. Given that z = 7, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = t + 15 to p, which gives p = t + 26.\n2. Substitute t = a + 15 to p, which gives p = a + 41.\n3. Substitute a = e + 16 to p, which gives p = e + 57.\n4. Substitute e = q + 15 to p, which gives p = q + 72.\n5. Substitute q = z + 16 to p, which gives p = z + 88.\n6. Substitute z = 7 to p, which gives p = 95.\n\nThus, the final answer is p = \\boxed{95}.",
"index": 23385,
"question": "Suppose a collection of variables is related by the following definitions: j = z + 3; q = z + 16; t = a + 15; u = k + 3; z = 7; p = s + 11; h = j + 2; s = t + 15; k = y + 3; a = e + 16; e = q + 15; o = h + 4; y = o + 16. Given that z = 7, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"n": "q + 18", "o": "n + 6", "m": "o + 11", "k": "m + 9", "u": "k + 19", "e": "u + 6", "l": "q + 6", "j": "l + 3", "t": "j + 5", "y": "t + 2", "x": "y + 15", "v": "x + 8", "q": 16}, "premises": {"q": 16}, "target": "e"}, "answer": {"steps": [["u", "k + 19", "k + 25"], ["k", "m + 9", "m + 34"], ["m", "o + 11", "o + 45"], ["o", "n + 6", "n + 51"], ["n", "q + 18", "q + 69"], ["q", 16, "85"]], "target_var_name": "e", "target_value": 85, "value_dict": {"q": 16}, "is_reverse": true}}
| 23,386
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = 16; j = l + 3; u = k + 19; l = q + 6; o = n + 6; m = o + 11; n = q + 18; v = x + 8; k = m + 9; e = u + 6; x = y + 15; y = t + 2; t = j + 5. Given that q = 16, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = k + 19 to e, which gives e = k + 25.\n2. Substitute k = m + 9 to e, which gives e = m + 34.\n3. Substitute m = o + 11 to e, which gives e = o + 45.\n4. Substitute o = n + 6 to e, which gives e = n + 51.\n5. Substitute n = q + 18 to e, which gives e = q + 69.\n6. Substitute q = 16 to e, which gives e = 85.\n\nThus, the final answer is e = \\boxed{85}.",
"index": 23386,
"question": "Suppose a collection of variables is related by the following definitions: q = 16; j = l + 3; u = k + 19; l = q + 6; o = n + 6; m = o + 11; n = q + 18; v = x + 8; k = m + 9; e = u + 6; x = y + 15; y = t + 2; t = j + 5. Given that q = 16, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"j": "s + 6", "a": "j + 16", "x": "a + 4", "i": "x + 18", "b": "i + 15", "c": "b + 6", "z": "s + 15", "k": "z + 4", "n": "k + 5", "e": "n + 12", "m": "e + 14", "f": "m + 7", "s": 15}, "premises": {"s": 15}, "target": "c"}, "answer": {"steps": [["b", "i + 15", "i + 21"], ["i", "x + 18", "x + 39"], ["x", "a + 4", "a + 43"], ["a", "j + 16", "j + 59"], ["j", "s + 6", "s + 65"], ["s", 15, "80"]], "target_var_name": "c", "target_value": 80, "value_dict": {"s": 15}, "is_reverse": true}}
| 23,387
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = e + 14; j = s + 6; n = k + 5; a = j + 16; s = 15; i = x + 18; e = n + 12; k = z + 4; f = m + 7; z = s + 15; c = b + 6; x = a + 4; b = i + 15. If s = 15, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = i + 15 to c, which gives c = i + 21.\n2. Substitute i = x + 18 to c, which gives c = x + 39.\n3. Substitute x = a + 4 to c, which gives c = a + 43.\n4. Substitute a = j + 16 to c, which gives c = j + 59.\n5. Substitute j = s + 6 to c, which gives c = s + 65.\n6. Substitute s = 15 to c, which gives c = 80.\n\nThus, the final answer is c = \\boxed{80}.",
"index": 23387,
"question": "Consider a system of variables where each variable is defined as follows: m = e + 14; j = s + 6; n = k + 5; a = j + 16; s = 15; i = x + 18; e = n + 12; k = z + 4; f = m + 7; z = s + 15; c = b + 6; x = a + 4; b = i + 15. If s = 15, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"z": "w + 14", "q": "z + 13", "i": "q + 7", "l": "i + 2", "j": "l + 11", "b": "j + 11", "m": "w + 11", "p": "m + 15", "e": "p + 14", "x": "e + 16", "a": "x + 8", "o": "a + 18", "w": 3}, "premises": {"w": 3}, "target": "b"}, "answer": {"steps": [["j", "l + 11", "l + 22"], ["l", "i + 2", "i + 24"], ["i", "q + 7", "q + 31"], ["q", "z + 13", "z + 44"], ["z", "w + 14", "w + 58"], ["w", 3, "61"]], "target_var_name": "b", "target_value": 61, "value_dict": {"w": 3}, "is_reverse": true}}
| 23,388
| 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 = w + 11; x = e + 16; l = i + 2; a = x + 8; w = 3; o = a + 18; z = w + 14; p = m + 15; j = l + 11; i = q + 7; q = z + 13; b = j + 11; e = p + 14. If w = 3, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = l + 11 to b, which gives b = l + 22.\n2. Substitute l = i + 2 to b, which gives b = i + 24.\n3. Substitute i = q + 7 to b, which gives b = q + 31.\n4. Substitute q = z + 13 to b, which gives b = z + 44.\n5. Substitute z = w + 14 to b, which gives b = w + 58.\n6. Substitute w = 3 to b, which gives b = 61.\n\nThus, the final answer is b = \\boxed{61}.",
"index": 23388,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = w + 11; x = e + 16; l = i + 2; a = x + 8; w = 3; o = a + 18; z = w + 14; p = m + 15; j = l + 11; i = q + 7; q = z + 13; b = j + 11; e = p + 14. If w = 3, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"y": "b + 15", "g": "y + 5", "a": "g + 10", "d": "a + 14", "z": "d + 5", "o": "z + 20", "j": "b + 7", "p": "j + 5", "c": "p + 16", "v": "c + 18", "e": "v + 2", "f": "e + 7", "b": 9}, "premises": {"b": 9}, "target": "o"}, "answer": {"steps": [["z", "d + 5", "d + 25"], ["d", "a + 14", "a + 39"], ["a", "g + 10", "g + 49"], ["g", "y + 5", "y + 54"], ["y", "b + 15", "b + 69"], ["b", 9, "78"]], "target_var_name": "o", "target_value": 78, "value_dict": {"b": 9}, "is_reverse": true}}
| 23,389
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = g + 10; e = v + 2; z = d + 5; y = b + 15; o = z + 20; v = c + 18; g = y + 5; j = b + 7; c = p + 16; b = 9; d = a + 14; f = e + 7; p = j + 5. Given that b = 9, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = d + 5 to o, which gives o = d + 25.\n2. Substitute d = a + 14 to o, which gives o = a + 39.\n3. Substitute a = g + 10 to o, which gives o = g + 49.\n4. Substitute g = y + 5 to o, which gives o = y + 54.\n5. Substitute y = b + 15 to o, which gives o = b + 69.\n6. Substitute b = 9 to o, which gives o = 78.\n\nThus, the final answer is o = \\boxed{78}.",
"index": 23389,
"question": "Suppose a collection of variables is related by the following definitions: a = g + 10; e = v + 2; z = d + 5; y = b + 15; o = z + 20; v = c + 18; g = y + 5; j = b + 7; c = p + 16; b = 9; d = a + 14; f = e + 7; p = j + 5. Given that b = 9, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"z": "v + 9", "k": "z + 7", "m": "k + 12", "e": "m + 17", "g": "e + 17", "p": "g + 1", "x": "v + 16", "y": "x + 14", "s": "y + 11", "u": "s + 18", "n": "u + 7", "f": "n + 7", "v": 11}, "premises": {"v": 11}, "target": "p"}, "answer": {"steps": [["g", "e + 17", "e + 18"], ["e", "m + 17", "m + 35"], ["m", "k + 12", "k + 47"], ["k", "z + 7", "z + 54"], ["z", "v + 9", "v + 63"], ["v", 11, "74"]], "target_var_name": "p", "target_value": 74, "value_dict": {"v": 11}, "is_reverse": true}}
| 23,390
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = u + 7; p = g + 1; f = n + 7; z = v + 9; e = m + 17; v = 11; y = x + 14; k = z + 7; u = s + 18; g = e + 17; s = y + 11; m = k + 12; x = v + 16. If v = 11, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = e + 17 to p, which gives p = e + 18.\n2. Substitute e = m + 17 to p, which gives p = m + 35.\n3. Substitute m = k + 12 to p, which gives p = k + 47.\n4. Substitute k = z + 7 to p, which gives p = z + 54.\n5. Substitute z = v + 9 to p, which gives p = v + 63.\n6. Substitute v = 11 to p, which gives p = 74.\n\nThus, the final answer is p = \\boxed{74}.",
"index": 23390,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = u + 7; p = g + 1; f = n + 7; z = v + 9; e = m + 17; v = 11; y = x + 14; k = z + 7; u = s + 18; g = e + 17; s = y + 11; m = k + 12; x = v + 16. If v = 11, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"p": "s + 6", "y": "p + 4", "x": "y + 4", "l": "x + 15", "z": "l + 14", "c": "z + 7", "q": "s + 8", "k": "q + 12", "e": "k + 16", "w": "e + 14", "m": "w + 2", "d": "m + 12", "s": 18}, "premises": {"s": 18}, "target": "c"}, "answer": {"steps": [["z", "l + 14", "l + 21"], ["l", "x + 15", "x + 36"], ["x", "y + 4", "y + 40"], ["y", "p + 4", "p + 44"], ["p", "s + 6", "s + 50"], ["s", 18, "68"]], "target_var_name": "c", "target_value": 68, "value_dict": {"s": 18}, "is_reverse": true}}
| 23,391
| 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 = k + 16; k = q + 12; d = m + 12; y = p + 4; q = s + 8; p = s + 6; c = z + 7; m = w + 2; l = x + 15; s = 18; w = e + 14; z = l + 14; x = y + 4. If s = 18, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = l + 14 to c, which gives c = l + 21.\n2. Substitute l = x + 15 to c, which gives c = x + 36.\n3. Substitute x = y + 4 to c, which gives c = y + 40.\n4. Substitute y = p + 4 to c, which gives c = p + 44.\n5. Substitute p = s + 6 to c, which gives c = s + 50.\n6. Substitute s = 18 to c, which gives c = 68.\n\nThus, the final answer is c = \\boxed{68}.",
"index": 23391,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = k + 16; k = q + 12; d = m + 12; y = p + 4; q = s + 8; p = s + 6; c = z + 7; m = w + 2; l = x + 15; s = 18; w = e + 14; z = l + 14; x = y + 4. If s = 18, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"g": "u + 8", "h": "g + 5", "l": "h + 7", "s": "l + 19", "c": "s + 16", "k": "c + 20", "j": "u + 18", "x": "j + 19", "b": "x + 2", "r": "b + 12", "t": "r + 20", "v": "t + 3", "u": 14}, "premises": {"u": 14}, "target": "k"}, "answer": {"steps": [["c", "s + 16", "s + 36"], ["s", "l + 19", "l + 55"], ["l", "h + 7", "h + 62"], ["h", "g + 5", "g + 67"], ["g", "u + 8", "u + 75"], ["u", 14, "89"]], "target_var_name": "k", "target_value": 89, "value_dict": {"u": 14}, "is_reverse": true}}
| 23,392
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = b + 12; l = h + 7; s = l + 19; t = r + 20; b = x + 2; u = 14; k = c + 20; h = g + 5; x = j + 19; v = t + 3; g = u + 8; c = s + 16; j = u + 18. Given that u = 14, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = s + 16 to k, which gives k = s + 36.\n2. Substitute s = l + 19 to k, which gives k = l + 55.\n3. Substitute l = h + 7 to k, which gives k = h + 62.\n4. Substitute h = g + 5 to k, which gives k = g + 67.\n5. Substitute g = u + 8 to k, which gives k = u + 75.\n6. Substitute u = 14 to k, which gives k = 89.\n\nThus, the final answer is k = \\boxed{89}.",
"index": 23392,
"question": "Suppose a collection of variables is related by the following definitions: r = b + 12; l = h + 7; s = l + 19; t = r + 20; b = x + 2; u = 14; k = c + 20; h = g + 5; x = j + 19; v = t + 3; g = u + 8; c = s + 16; j = u + 18. Given that u = 14, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"v": "w + 17", "q": "v + 13", "j": "q + 11", "d": "j + 5", "z": "d + 9", "r": "z + 20", "s": "w + 15", "m": "s + 17", "y": "m + 19", "k": "y + 8", "x": "k + 14", "c": "x + 7", "w": 20}, "premises": {"w": 20}, "target": "r"}, "answer": {"steps": [["z", "d + 9", "d + 29"], ["d", "j + 5", "j + 34"], ["j", "q + 11", "q + 45"], ["q", "v + 13", "v + 58"], ["v", "w + 17", "w + 75"], ["w", 20, "95"]], "target_var_name": "r", "target_value": 95, "value_dict": {"w": 20}, "is_reverse": true}}
| 23,393
| 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 = d + 9; q = v + 13; y = m + 19; k = y + 8; j = q + 11; w = 20; m = s + 17; d = j + 5; v = w + 17; r = z + 20; x = k + 14; c = x + 7; s = w + 15. If w = 20, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = d + 9 to r, which gives r = d + 29.\n2. Substitute d = j + 5 to r, which gives r = j + 34.\n3. Substitute j = q + 11 to r, which gives r = q + 45.\n4. Substitute q = v + 13 to r, which gives r = v + 58.\n5. Substitute v = w + 17 to r, which gives r = w + 75.\n6. Substitute w = 20 to r, which gives r = 95.\n\nThus, the final answer is r = \\boxed{95}.",
"index": 23393,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = d + 9; q = v + 13; y = m + 19; k = y + 8; j = q + 11; w = 20; m = s + 17; d = j + 5; v = w + 17; r = z + 20; x = k + 14; c = x + 7; s = w + 15. If w = 20, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"n": "i + 8", "l": "n + 4", "e": "l + 5", "j": "e + 20", "d": "j + 9", "p": "d + 19", "x": "i + 5", "y": "x + 9", "c": "y + 4", "g": "c + 16", "m": "g + 12", "a": "m + 16", "i": 7}, "premises": {"i": 7}, "target": "p"}, "answer": {"steps": [["d", "j + 9", "j + 28"], ["j", "e + 20", "e + 48"], ["e", "l + 5", "l + 53"], ["l", "n + 4", "n + 57"], ["n", "i + 8", "i + 65"], ["i", 7, "72"]], "target_var_name": "p", "target_value": 72, "value_dict": {"i": 7}, "is_reverse": true}}
| 23,394
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = i + 5; i = 7; p = d + 19; y = x + 9; g = c + 16; d = j + 9; a = m + 16; c = y + 4; e = l + 5; j = e + 20; l = n + 4; m = g + 12; n = i + 8. If i = 7, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = j + 9 to p, which gives p = j + 28.\n2. Substitute j = e + 20 to p, which gives p = e + 48.\n3. Substitute e = l + 5 to p, which gives p = l + 53.\n4. Substitute l = n + 4 to p, which gives p = n + 57.\n5. Substitute n = i + 8 to p, which gives p = i + 65.\n6. Substitute i = 7 to p, which gives p = 72.\n\nThus, the final answer is p = \\boxed{72}.",
"index": 23394,
"question": "Consider a system of variables where each variable is defined as follows: x = i + 5; i = 7; p = d + 19; y = x + 9; g = c + 16; d = j + 9; a = m + 16; c = y + 4; e = l + 5; j = e + 20; l = n + 4; m = g + 12; n = i + 8. If i = 7, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"y": "j + 12", "x": "y + 20", "r": "x + 13", "n": "r + 15", "c": "n + 7", "a": "c + 7", "o": "j + 20", "v": "o + 20", "f": "v + 18", "b": "f + 2", "w": "b + 12", "h": "w + 4", "j": 16}, "premises": {"j": 16}, "target": "a"}, "answer": {"steps": [["c", "n + 7", "n + 14"], ["n", "r + 15", "r + 29"], ["r", "x + 13", "x + 42"], ["x", "y + 20", "y + 62"], ["y", "j + 12", "j + 74"], ["j", 16, "90"]], "target_var_name": "a", "target_value": 90, "value_dict": {"j": 16}, "is_reverse": true}}
| 23,395
| 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 = 16; x = y + 20; c = n + 7; f = v + 18; a = c + 7; o = j + 20; h = w + 4; n = r + 15; v = o + 20; b = f + 2; r = x + 13; w = b + 12; y = j + 12. If j = 16, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = n + 7 to a, which gives a = n + 14.\n2. Substitute n = r + 15 to a, which gives a = r + 29.\n3. Substitute r = x + 13 to a, which gives a = x + 42.\n4. Substitute x = y + 20 to a, which gives a = y + 62.\n5. Substitute y = j + 12 to a, which gives a = j + 74.\n6. Substitute j = 16 to a, which gives a = 90.\n\nThus, the final answer is a = \\boxed{90}.",
"index": 23395,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = 16; x = y + 20; c = n + 7; f = v + 18; a = c + 7; o = j + 20; h = w + 4; n = r + 15; v = o + 20; b = f + 2; r = x + 13; w = b + 12; y = j + 12. If j = 16, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"q": "f + 10", "i": "q + 19", "k": "i + 4", "y": "k + 7", "u": "y + 13", "m": "u + 7", "z": "f + 8", "g": "z + 19", "c": "g + 13", "w": "c + 14", "b": "w + 18", "x": "b + 19", "f": 19}, "premises": {"f": 19}, "target": "m"}, "answer": {"steps": [["u", "y + 13", "y + 20"], ["y", "k + 7", "k + 27"], ["k", "i + 4", "i + 31"], ["i", "q + 19", "q + 50"], ["q", "f + 10", "f + 60"], ["f", 19, "79"]], "target_var_name": "m", "target_value": 79, "value_dict": {"f": 19}, "is_reverse": true}}
| 23,396
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = 19; z = f + 8; u = y + 13; w = c + 14; b = w + 18; i = q + 19; y = k + 7; m = u + 7; g = z + 19; c = g + 13; x = b + 19; q = f + 10; k = i + 4. Given that f = 19, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = y + 13 to m, which gives m = y + 20.\n2. Substitute y = k + 7 to m, which gives m = k + 27.\n3. Substitute k = i + 4 to m, which gives m = i + 31.\n4. Substitute i = q + 19 to m, which gives m = q + 50.\n5. Substitute q = f + 10 to m, which gives m = f + 60.\n6. Substitute f = 19 to m, which gives m = 79.\n\nThus, the final answer is m = \\boxed{79}.",
"index": 23396,
"question": "Suppose a collection of variables is related by the following definitions: f = 19; z = f + 8; u = y + 13; w = c + 14; b = w + 18; i = q + 19; y = k + 7; m = u + 7; g = z + 19; c = g + 13; x = b + 19; q = f + 10; k = i + 4. Given that f = 19, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"o": "r + 10", "l": "o + 15", "g": "l + 11", "f": "g + 18", "e": "f + 6", "t": "e + 5", "v": "r + 9", "u": "v + 2", "d": "u + 12", "x": "d + 9", "i": "x + 5", "a": "i + 12", "r": 19}, "premises": {"r": 19}, "target": "t"}, "answer": {"steps": [["e", "f + 6", "f + 11"], ["f", "g + 18", "g + 29"], ["g", "l + 11", "l + 40"], ["l", "o + 15", "o + 55"], ["o", "r + 10", "r + 65"], ["r", 19, "84"]], "target_var_name": "t", "target_value": 84, "value_dict": {"r": 19}, "is_reverse": true}}
| 23,397
| 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 = g + 18; x = d + 9; r = 19; v = r + 9; a = i + 12; e = f + 6; d = u + 12; i = x + 5; u = v + 2; g = l + 11; l = o + 15; o = r + 10; t = e + 5. If r = 19, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = f + 6 to t, which gives t = f + 11.\n2. Substitute f = g + 18 to t, which gives t = g + 29.\n3. Substitute g = l + 11 to t, which gives t = l + 40.\n4. Substitute l = o + 15 to t, which gives t = o + 55.\n5. Substitute o = r + 10 to t, which gives t = r + 65.\n6. Substitute r = 19 to t, which gives t = 84.\n\nThus, the final answer is t = \\boxed{84}.",
"index": 23397,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = g + 18; x = d + 9; r = 19; v = r + 9; a = i + 12; e = f + 6; d = u + 12; i = x + 5; u = v + 2; g = l + 11; l = o + 15; o = r + 10; t = e + 5. If r = 19, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"o": "v + 12", "a": "o + 3", "m": "a + 8", "f": "m + 20", "r": "f + 7", "h": "r + 20", "e": "v + 11", "p": "e + 11", "z": "p + 15", "s": "z + 14", "u": "s + 17", "q": "u + 1", "v": 18}, "premises": {"v": 18}, "target": "h"}, "answer": {"steps": [["r", "f + 7", "f + 27"], ["f", "m + 20", "m + 47"], ["m", "a + 8", "a + 55"], ["a", "o + 3", "o + 58"], ["o", "v + 12", "v + 70"], ["v", 18, "88"]], "target_var_name": "h", "target_value": 88, "value_dict": {"v": 18}, "is_reverse": true}}
| 23,398
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = z + 14; r = f + 7; z = p + 15; v = 18; u = s + 17; f = m + 20; a = o + 3; m = a + 8; q = u + 1; o = v + 12; h = r + 20; e = v + 11; p = e + 11. If v = 18, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = f + 7 to h, which gives h = f + 27.\n2. Substitute f = m + 20 to h, which gives h = m + 47.\n3. Substitute m = a + 8 to h, which gives h = a + 55.\n4. Substitute a = o + 3 to h, which gives h = o + 58.\n5. Substitute o = v + 12 to h, which gives h = v + 70.\n6. Substitute v = 18 to h, which gives h = 88.\n\nThus, the final answer is h = \\boxed{88}.",
"index": 23398,
"question": "Consider a system of variables where each variable is defined as follows: s = z + 14; r = f + 7; z = p + 15; v = 18; u = s + 17; f = m + 20; a = o + 3; m = a + 8; q = u + 1; o = v + 12; h = r + 20; e = v + 11; p = e + 11. If v = 18, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"d": "m + 19", "z": "d + 10", "p": "z + 19", "e": "p + 6", "f": "e + 19", "i": "f + 18", "o": "m + 20", "c": "o + 1", "w": "c + 19", "k": "w + 11", "t": "k + 11", "b": "t + 14", "m": 12}, "premises": {"m": 12}, "target": "i"}, "answer": {"steps": [["f", "e + 19", "e + 37"], ["e", "p + 6", "p + 43"], ["p", "z + 19", "z + 62"], ["z", "d + 10", "d + 72"], ["d", "m + 19", "m + 91"], ["m", 12, "103"]], "target_var_name": "i", "target_value": 103, "value_dict": {"m": 12}, "is_reverse": true}}
| 23,399
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = e + 19; p = z + 19; d = m + 19; z = d + 10; b = t + 14; w = c + 19; t = k + 11; o = m + 20; k = w + 11; i = f + 18; m = 12; e = p + 6; c = o + 1. If m = 12, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 103,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = e + 19 to i, which gives i = e + 37.\n2. Substitute e = p + 6 to i, which gives i = p + 43.\n3. Substitute p = z + 19 to i, which gives i = z + 62.\n4. Substitute z = d + 10 to i, which gives i = d + 72.\n5. Substitute d = m + 19 to i, which gives i = m + 91.\n6. Substitute m = 12 to i, which gives i = 103.\n\nThus, the final answer is i = \\boxed{103}.",
"index": 23399,
"question": "Consider a system of variables where each variable is defined as follows: f = e + 19; p = z + 19; d = m + 19; z = d + 10; b = t + 14; w = c + 19; t = k + 11; o = m + 20; k = w + 11; i = f + 18; m = 12; e = p + 6; c = o + 1. If m = 12, determine the value of i.",
"split": "train"
}
|
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