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25.6k
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int64 0
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stringclasses 1
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stringclasses 1
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listlengths 1
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stringclasses 1
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dict | extra_info
dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"t": "g + 3", "e": "t + 17", "m": "e + 11", "u": "m + 18", "k": "u + 10", "x": "k + 6", "i": "g + 1", "h": "i + 15", "p": "h + 14", "c": "p + 6", "n": "c + 2", "l": "n + 19", "g": 2}, "premises": {"g": 2}, "target": "x"}, "answer": {"steps": [["k", "u + 10", "u + 16"], ["u", "m + 18", "m + 34"], ["m", "e + 11", "e + 45"], ["e", "t + 17", "t + 62"], ["t", "g + 3", "g + 65"], ["g", 2, "67"]], "target_var_name": "x", "target_value": 67, "value_dict": {"g": 2}, "is_reverse": true}}
| 3,500
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = g + 3; h = i + 15; c = p + 6; k = u + 10; i = g + 1; u = m + 18; n = c + 2; m = e + 11; p = h + 14; l = n + 19; g = 2; e = t + 17; x = k + 6. If g = 2, determine 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 k = u + 10 to x, which gives x = u + 16.\n2. Substitute u = m + 18 to x, which gives x = m + 34.\n3. Substitute m = e + 11 to x, which gives x = e + 45.\n4. Substitute e = t + 17 to x, which gives x = t + 62.\n5. Substitute t = g + 3 to x, which gives x = g + 65.\n6. Substitute g = 2 to x, which gives x = 67.\n\nThus, the final answer is x = \\boxed{67}.",
"index": 3500,
"question": "Consider a system of variables where each variable is defined as follows: t = g + 3; h = i + 15; c = p + 6; k = u + 10; i = g + 1; u = m + 18; n = c + 2; m = e + 11; p = h + 14; l = n + 19; g = 2; e = t + 17; x = k + 6. If g = 2, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"f": "b + 6", "x": "f + 16", "w": "x + 16", "n": "w + 3", "y": "n + 1", "a": "y + 7", "o": "b + 4", "h": "o + 2", "r": "h + 14", "z": "r + 18", "p": "z + 18", "v": "p + 5", "b": 7}, "premises": {"b": 7}, "target": "a"}, "answer": {"steps": [["y", "n + 1", "n + 8"], ["n", "w + 3", "w + 11"], ["w", "x + 16", "x + 27"], ["x", "f + 16", "f + 43"], ["f", "b + 6", "b + 49"], ["b", 7, "56"]], "target_var_name": "a", "target_value": 56, "value_dict": {"b": 7}, "is_reverse": true}}
| 3,501
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = w + 3; w = x + 16; p = z + 18; h = o + 2; f = b + 6; v = p + 5; b = 7; r = h + 14; x = f + 16; z = r + 18; y = n + 1; a = y + 7; o = b + 4. If b = 7, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = n + 1 to a, which gives a = n + 8.\n2. Substitute n = w + 3 to a, which gives a = w + 11.\n3. Substitute w = x + 16 to a, which gives a = x + 27.\n4. Substitute x = f + 16 to a, which gives a = f + 43.\n5. Substitute f = b + 6 to a, which gives a = b + 49.\n6. Substitute b = 7 to a, which gives a = 56.\n\nThus, the final answer is a = \\boxed{56}.",
"index": 3501,
"question": "Consider a system of variables where each variable is defined as follows: n = w + 3; w = x + 16; p = z + 18; h = o + 2; f = b + 6; v = p + 5; b = 7; r = h + 14; x = f + 16; z = r + 18; y = n + 1; a = y + 7; o = b + 4. If b = 7, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"a": "i + 10", "f": "a + 4", "k": "f + 8", "s": "k + 14", "l": "s + 15", "m": "l + 10", "y": "i + 7", "q": "y + 3", "v": "q + 15", "d": "v + 4", "t": "d + 10", "j": "t + 20", "i": 14}, "premises": {"i": 14}, "target": "m"}, "answer": {"steps": [["l", "s + 15", "s + 25"], ["s", "k + 14", "k + 39"], ["k", "f + 8", "f + 47"], ["f", "a + 4", "a + 51"], ["a", "i + 10", "i + 61"], ["i", 14, "75"]], "target_var_name": "m", "target_value": 75, "value_dict": {"i": 14}, "is_reverse": true}}
| 3,502
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = a + 4; y = i + 7; s = k + 14; v = q + 15; q = y + 3; a = i + 10; l = s + 15; i = 14; m = l + 10; t = d + 10; d = v + 4; k = f + 8; j = t + 20. If i = 14, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = s + 15 to m, which gives m = s + 25.\n2. Substitute s = k + 14 to m, which gives m = k + 39.\n3. Substitute k = f + 8 to m, which gives m = f + 47.\n4. Substitute f = a + 4 to m, which gives m = a + 51.\n5. Substitute a = i + 10 to m, which gives m = i + 61.\n6. Substitute i = 14 to m, which gives m = 75.\n\nThus, the final answer is m = \\boxed{75}.",
"index": 3502,
"question": "Consider a system of variables where each variable is defined as follows: f = a + 4; y = i + 7; s = k + 14; v = q + 15; q = y + 3; a = i + 10; l = s + 15; i = 14; m = l + 10; t = d + 10; d = v + 4; k = f + 8; j = t + 20. If i = 14, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"v": "e + 14", "i": "v + 2", "k": "i + 17", "z": "k + 11", "f": "z + 11", "j": "f + 11", "d": "e + 4", "w": "d + 15", "y": "w + 13", "o": "y + 15", "c": "o + 1", "p": "c + 12", "e": 4}, "premises": {"e": 4}, "target": "j"}, "answer": {"steps": [["f", "z + 11", "z + 22"], ["z", "k + 11", "k + 33"], ["k", "i + 17", "i + 50"], ["i", "v + 2", "v + 52"], ["v", "e + 14", "e + 66"], ["e", 4, "70"]], "target_var_name": "j", "target_value": 70, "value_dict": {"e": 4}, "is_reverse": true}}
| 3,503
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = d + 15; f = z + 11; p = c + 12; i = v + 2; d = e + 4; k = i + 17; c = o + 1; z = k + 11; v = e + 14; y = w + 13; e = 4; o = y + 15; j = f + 11. If e = 4, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = z + 11 to j, which gives j = z + 22.\n2. Substitute z = k + 11 to j, which gives j = k + 33.\n3. Substitute k = i + 17 to j, which gives j = i + 50.\n4. Substitute i = v + 2 to j, which gives j = v + 52.\n5. Substitute v = e + 14 to j, which gives j = e + 66.\n6. Substitute e = 4 to j, which gives j = 70.\n\nThus, the final answer is j = \\boxed{70}.",
"index": 3503,
"question": "Consider a system of variables where each variable is defined as follows: w = d + 15; f = z + 11; p = c + 12; i = v + 2; d = e + 4; k = i + 17; c = o + 1; z = k + 11; v = e + 14; y = w + 13; e = 4; o = y + 15; j = f + 11. If e = 4, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"c": "k + 14", "w": "c + 8", "i": "w + 14", "u": "i + 17", "p": "u + 5", "j": "p + 14", "e": "k + 20", "t": "e + 4", "d": "t + 5", "n": "d + 10", "h": "n + 15", "y": "h + 14", "k": 18}, "premises": {"k": 18}, "target": "j"}, "answer": {"steps": [["p", "u + 5", "u + 19"], ["u", "i + 17", "i + 36"], ["i", "w + 14", "w + 50"], ["w", "c + 8", "c + 58"], ["c", "k + 14", "k + 72"], ["k", 18, "90"]], "target_var_name": "j", "target_value": 90, "value_dict": {"k": 18}, "is_reverse": true}}
| 3,504
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = 18; u = i + 17; p = u + 5; e = k + 20; y = h + 14; t = e + 4; h = n + 15; w = c + 8; i = w + 14; d = t + 5; j = p + 14; c = k + 14; n = d + 10. If k = 18, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = u + 5 to j, which gives j = u + 19.\n2. Substitute u = i + 17 to j, which gives j = i + 36.\n3. Substitute i = w + 14 to j, which gives j = w + 50.\n4. Substitute w = c + 8 to j, which gives j = c + 58.\n5. Substitute c = k + 14 to j, which gives j = k + 72.\n6. Substitute k = 18 to j, which gives j = 90.\n\nThus, the final answer is j = \\boxed{90}.",
"index": 3504,
"question": "Consider a system of variables where each variable is defined as follows: k = 18; u = i + 17; p = u + 5; e = k + 20; y = h + 14; t = e + 4; h = n + 15; w = c + 8; i = w + 14; d = t + 5; j = p + 14; c = k + 14; n = d + 10. If k = 18, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"e": "x + 19", "o": "e + 12", "s": "o + 12", "w": "s + 11", "f": "w + 5", "h": "f + 8", "v": "x + 2", "j": "v + 20", "l": "j + 6", "t": "l + 1", "z": "t + 15", "g": "z + 10", "x": 15}, "premises": {"x": 15}, "target": "h"}, "answer": {"steps": [["f", "w + 5", "w + 13"], ["w", "s + 11", "s + 24"], ["s", "o + 12", "o + 36"], ["o", "e + 12", "e + 48"], ["e", "x + 19", "x + 67"], ["x", 15, "82"]], "target_var_name": "h", "target_value": 82, "value_dict": {"x": 15}, "is_reverse": true}}
| 3,505
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = f + 8; o = e + 12; s = o + 12; f = w + 5; w = s + 11; v = x + 2; l = j + 6; z = t + 15; e = x + 19; g = z + 10; t = l + 1; j = v + 20; x = 15. If x = 15, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = w + 5 to h, which gives h = w + 13.\n2. Substitute w = s + 11 to h, which gives h = s + 24.\n3. Substitute s = o + 12 to h, which gives h = o + 36.\n4. Substitute o = e + 12 to h, which gives h = e + 48.\n5. Substitute e = x + 19 to h, which gives h = x + 67.\n6. Substitute x = 15 to h, which gives h = 82.\n\nThus, the final answer is h = \\boxed{82}.",
"index": 3505,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = f + 8; o = e + 12; s = o + 12; f = w + 5; w = s + 11; v = x + 2; l = j + 6; z = t + 15; e = x + 19; g = z + 10; t = l + 1; j = v + 20; x = 15. If x = 15, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"e": "d + 3", "a": "e + 15", "f": "a + 4", "g": "f + 15", "b": "g + 3", "z": "b + 15", "o": "d + 4", "x": "o + 8", "c": "x + 16", "y": "c + 19", "q": "y + 1", "l": "q + 13", "d": 16}, "premises": {"d": 16}, "target": "z"}, "answer": {"steps": [["b", "g + 3", "g + 18"], ["g", "f + 15", "f + 33"], ["f", "a + 4", "a + 37"], ["a", "e + 15", "e + 52"], ["e", "d + 3", "d + 55"], ["d", 16, "71"]], "target_var_name": "z", "target_value": 71, "value_dict": {"d": 16}, "is_reverse": true}}
| 3,506
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = q + 13; c = x + 16; a = e + 15; x = o + 8; b = g + 3; o = d + 4; q = y + 1; g = f + 15; d = 16; z = b + 15; y = c + 19; e = d + 3; f = a + 4. If d = 16, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = g + 3 to z, which gives z = g + 18.\n2. Substitute g = f + 15 to z, which gives z = f + 33.\n3. Substitute f = a + 4 to z, which gives z = a + 37.\n4. Substitute a = e + 15 to z, which gives z = e + 52.\n5. Substitute e = d + 3 to z, which gives z = d + 55.\n6. Substitute d = 16 to z, which gives z = 71.\n\nThus, the final answer is z = \\boxed{71}.",
"index": 3506,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = q + 13; c = x + 16; a = e + 15; x = o + 8; b = g + 3; o = d + 4; q = y + 1; g = f + 15; d = 16; z = b + 15; y = c + 19; e = d + 3; f = a + 4. If d = 16, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"c": "q + 13", "a": "c + 10", "i": "a + 16", "v": "i + 11", "f": "v + 20", "j": "f + 10", "w": "q + 8", "d": "w + 3", "b": "d + 16", "p": "b + 13", "g": "p + 7", "m": "g + 11", "q": 20}, "premises": {"q": 20}, "target": "j"}, "answer": {"steps": [["f", "v + 20", "v + 30"], ["v", "i + 11", "i + 41"], ["i", "a + 16", "a + 57"], ["a", "c + 10", "c + 67"], ["c", "q + 13", "q + 80"], ["q", 20, "100"]], "target_var_name": "j", "target_value": 100, "value_dict": {"q": 20}, "is_reverse": true}}
| 3,507
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = c + 10; i = a + 16; d = w + 3; f = v + 20; m = g + 11; q = 20; c = q + 13; w = q + 8; v = i + 11; j = f + 10; p = b + 13; b = d + 16; g = p + 7. If q = 20, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 100,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = v + 20 to j, which gives j = v + 30.\n2. Substitute v = i + 11 to j, which gives j = i + 41.\n3. Substitute i = a + 16 to j, which gives j = a + 57.\n4. Substitute a = c + 10 to j, which gives j = c + 67.\n5. Substitute c = q + 13 to j, which gives j = q + 80.\n6. Substitute q = 20 to j, which gives j = 100.\n\nThus, the final answer is j = \\boxed{100}.",
"index": 3507,
"question": "Consider a system of variables where each variable is defined as follows: a = c + 10; i = a + 16; d = w + 3; f = v + 20; m = g + 11; q = 20; c = q + 13; w = q + 8; v = i + 11; j = f + 10; p = b + 13; b = d + 16; g = p + 7. If q = 20, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"r": "v + 6", "e": "r + 9", "l": "e + 2", "h": "l + 19", "w": "h + 19", "d": "w + 7", "y": "v + 12", "q": "y + 2", "i": "q + 3", "g": "i + 13", "t": "g + 20", "m": "t + 15", "v": 2}, "premises": {"v": 2}, "target": "d"}, "answer": {"steps": [["w", "h + 19", "h + 26"], ["h", "l + 19", "l + 45"], ["l", "e + 2", "e + 47"], ["e", "r + 9", "r + 56"], ["r", "v + 6", "v + 62"], ["v", 2, "64"]], "target_var_name": "d", "target_value": 64, "value_dict": {"v": 2}, "is_reverse": true}}
| 3,508
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = g + 20; h = l + 19; m = t + 15; v = 2; r = v + 6; g = i + 13; e = r + 9; w = h + 19; y = v + 12; d = w + 7; q = y + 2; l = e + 2; i = q + 3. If v = 2, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = h + 19 to d, which gives d = h + 26.\n2. Substitute h = l + 19 to d, which gives d = l + 45.\n3. Substitute l = e + 2 to d, which gives d = e + 47.\n4. Substitute e = r + 9 to d, which gives d = r + 56.\n5. Substitute r = v + 6 to d, which gives d = v + 62.\n6. Substitute v = 2 to d, which gives d = 64.\n\nThus, the final answer is d = \\boxed{64}.",
"index": 3508,
"question": "Consider a system of variables where each variable is defined as follows: t = g + 20; h = l + 19; m = t + 15; v = 2; r = v + 6; g = i + 13; e = r + 9; w = h + 19; y = v + 12; d = w + 7; q = y + 2; l = e + 2; i = q + 3. If v = 2, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"r": "u + 7", "d": "r + 5", "j": "d + 16", "e": "j + 19", "k": "e + 4", "o": "k + 2", "g": "u + 3", "t": "g + 3", "z": "t + 6", "l": "z + 6", "i": "l + 20", "w": "i + 19", "u": 17}, "premises": {"u": 17}, "target": "o"}, "answer": {"steps": [["k", "e + 4", "e + 6"], ["e", "j + 19", "j + 25"], ["j", "d + 16", "d + 41"], ["d", "r + 5", "r + 46"], ["r", "u + 7", "u + 53"], ["u", 17, "70"]], "target_var_name": "o", "target_value": 70, "value_dict": {"u": 17}, "is_reverse": true}}
| 3,509
| 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 = i + 19; t = g + 3; i = l + 20; o = k + 2; d = r + 5; r = u + 7; u = 17; l = z + 6; z = t + 6; j = d + 16; k = e + 4; e = j + 19; g = u + 3. If u = 17, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = e + 4 to o, which gives o = e + 6.\n2. Substitute e = j + 19 to o, which gives o = j + 25.\n3. Substitute j = d + 16 to o, which gives o = d + 41.\n4. Substitute d = r + 5 to o, which gives o = r + 46.\n5. Substitute r = u + 7 to o, which gives o = u + 53.\n6. Substitute u = 17 to o, which gives o = 70.\n\nThus, the final answer is o = \\boxed{70}.",
"index": 3509,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = i + 19; t = g + 3; i = l + 20; o = k + 2; d = r + 5; r = u + 7; u = 17; l = z + 6; z = t + 6; j = d + 16; k = e + 4; e = j + 19; g = u + 3. If u = 17, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"a": "k + 12", "j": "a + 1", "z": "j + 16", "v": "z + 2", "e": "v + 7", "g": "e + 18", "t": "k + 19", "f": "t + 1", "y": "f + 17", "w": "y + 13", "r": "w + 16", "b": "r + 16", "k": 19}, "premises": {"k": 19}, "target": "g"}, "answer": {"steps": [["e", "v + 7", "v + 25"], ["v", "z + 2", "z + 27"], ["z", "j + 16", "j + 43"], ["j", "a + 1", "a + 44"], ["a", "k + 12", "k + 56"], ["k", 19, "75"]], "target_var_name": "g", "target_value": 75, "value_dict": {"k": 19}, "is_reverse": true}}
| 3,510
| 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 = w + 16; w = y + 13; z = j + 16; v = z + 2; b = r + 16; y = f + 17; e = v + 7; a = k + 12; j = a + 1; g = e + 18; f = t + 1; t = k + 19; k = 19. If k = 19, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = v + 7 to g, which gives g = v + 25.\n2. Substitute v = z + 2 to g, which gives g = z + 27.\n3. Substitute z = j + 16 to g, which gives g = j + 43.\n4. Substitute j = a + 1 to g, which gives g = a + 44.\n5. Substitute a = k + 12 to g, which gives g = k + 56.\n6. Substitute k = 19 to g, which gives g = 75.\n\nThus, the final answer is g = \\boxed{75}.",
"index": 3510,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = w + 16; w = y + 13; z = j + 16; v = z + 2; b = r + 16; y = f + 17; e = v + 7; a = k + 12; j = a + 1; g = e + 18; f = t + 1; t = k + 19; k = 19. If k = 19, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"i": "o + 13", "n": "i + 1", "m": "n + 9", "a": "m + 19", "v": "a + 1", "k": "v + 12", "c": "o + 14", "h": "c + 19", "d": "h + 16", "j": "d + 12", "x": "j + 8", "p": "x + 12", "o": 15}, "premises": {"o": 15}, "target": "k"}, "answer": {"steps": [["v", "a + 1", "a + 13"], ["a", "m + 19", "m + 32"], ["m", "n + 9", "n + 41"], ["n", "i + 1", "i + 42"], ["i", "o + 13", "o + 55"], ["o", 15, "70"]], "target_var_name": "k", "target_value": 70, "value_dict": {"o": 15}, "is_reverse": true}}
| 3,511
| 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 = h + 16; p = x + 12; i = o + 13; a = m + 19; x = j + 8; k = v + 12; h = c + 19; n = i + 1; v = a + 1; m = n + 9; j = d + 12; c = o + 14; o = 15. If o = 15, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = a + 1 to k, which gives k = a + 13.\n2. Substitute a = m + 19 to k, which gives k = m + 32.\n3. Substitute m = n + 9 to k, which gives k = n + 41.\n4. Substitute n = i + 1 to k, which gives k = i + 42.\n5. Substitute i = o + 13 to k, which gives k = o + 55.\n6. Substitute o = 15 to k, which gives k = 70.\n\nThus, the final answer is k = \\boxed{70}.",
"index": 3511,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = h + 16; p = x + 12; i = o + 13; a = m + 19; x = j + 8; k = v + 12; h = c + 19; n = i + 1; v = a + 1; m = n + 9; j = d + 12; c = o + 14; o = 15. If o = 15, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"b": "r + 15", "m": "b + 11", "y": "m + 12", "l": "y + 10", "u": "l + 5", "g": "u + 20", "t": "r + 3", "d": "t + 9", "v": "d + 4", "x": "v + 13", "w": "x + 9", "f": "w + 4", "r": 17}, "premises": {"r": 17}, "target": "g"}, "answer": {"steps": [["u", "l + 5", "l + 25"], ["l", "y + 10", "y + 35"], ["y", "m + 12", "m + 47"], ["m", "b + 11", "b + 58"], ["b", "r + 15", "r + 73"], ["r", 17, "90"]], "target_var_name": "g", "target_value": 90, "value_dict": {"r": 17}, "is_reverse": true}}
| 3,512
| 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 = 17; y = m + 12; u = l + 5; w = x + 9; t = r + 3; f = w + 4; m = b + 11; v = d + 4; g = u + 20; x = v + 13; l = y + 10; d = t + 9; b = r + 15. If r = 17, what is the resulting 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 u = l + 5 to g, which gives g = l + 25.\n2. Substitute l = y + 10 to g, which gives g = y + 35.\n3. Substitute y = m + 12 to g, which gives g = m + 47.\n4. Substitute m = b + 11 to g, which gives g = b + 58.\n5. Substitute b = r + 15 to g, which gives g = r + 73.\n6. Substitute r = 17 to g, which gives g = 90.\n\nThus, the final answer is g = \\boxed{90}.",
"index": 3512,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = 17; y = m + 12; u = l + 5; w = x + 9; t = r + 3; f = w + 4; m = b + 11; v = d + 4; g = u + 20; x = v + 13; l = y + 10; d = t + 9; b = r + 15. If r = 17, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"z": "u + 14", "r": "z + 1", "d": "r + 19", "n": "d + 18", "y": "n + 14", "b": "y + 1", "q": "u + 4", "t": "q + 9", "k": "t + 19", "x": "k + 15", "w": "x + 4", "f": "w + 18", "u": 20}, "premises": {"u": 20}, "target": "b"}, "answer": {"steps": [["y", "n + 14", "n + 15"], ["n", "d + 18", "d + 33"], ["d", "r + 19", "r + 52"], ["r", "z + 1", "z + 53"], ["z", "u + 14", "u + 67"], ["u", 20, "87"]], "target_var_name": "b", "target_value": 87, "value_dict": {"u": 20}, "is_reverse": true}}
| 3,513
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = r + 19; b = y + 1; f = w + 18; y = n + 14; z = u + 14; x = k + 15; t = q + 9; n = d + 18; r = z + 1; u = 20; w = x + 4; q = u + 4; k = t + 19. Given that u = 20, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = n + 14 to b, which gives b = n + 15.\n2. Substitute n = d + 18 to b, which gives b = d + 33.\n3. Substitute d = r + 19 to b, which gives b = r + 52.\n4. Substitute r = z + 1 to b, which gives b = z + 53.\n5. Substitute z = u + 14 to b, which gives b = u + 67.\n6. Substitute u = 20 to b, which gives b = 87.\n\nThus, the final answer is b = \\boxed{87}.",
"index": 3513,
"question": "Suppose a collection of variables is related by the following definitions: d = r + 19; b = y + 1; f = w + 18; y = n + 14; z = u + 14; x = k + 15; t = q + 9; n = d + 18; r = z + 1; u = 20; w = x + 4; q = u + 4; k = t + 19. Given that u = 20, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"q": "d + 2", "y": "q + 1", "r": "y + 20", "k": "r + 9", "w": "k + 1", "i": "w + 13", "z": "d + 15", "g": "z + 5", "h": "g + 16", "u": "h + 14", "a": "u + 20", "b": "a + 19", "d": 8}, "premises": {"d": 8}, "target": "i"}, "answer": {"steps": [["w", "k + 1", "k + 14"], ["k", "r + 9", "r + 23"], ["r", "y + 20", "y + 43"], ["y", "q + 1", "q + 44"], ["q", "d + 2", "d + 46"], ["d", 8, "54"]], "target_var_name": "i", "target_value": 54, "value_dict": {"d": 8}, "is_reverse": true}}
| 3,514
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = a + 19; i = w + 13; y = q + 1; k = r + 9; w = k + 1; q = d + 2; z = d + 15; r = y + 20; u = h + 14; a = u + 20; h = g + 16; d = 8; g = z + 5. If d = 8, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = k + 1 to i, which gives i = k + 14.\n2. Substitute k = r + 9 to i, which gives i = r + 23.\n3. Substitute r = y + 20 to i, which gives i = y + 43.\n4. Substitute y = q + 1 to i, which gives i = q + 44.\n5. Substitute q = d + 2 to i, which gives i = d + 46.\n6. Substitute d = 8 to i, which gives i = 54.\n\nThus, the final answer is i = \\boxed{54}.",
"index": 3514,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = a + 19; i = w + 13; y = q + 1; k = r + 9; w = k + 1; q = d + 2; z = d + 15; r = y + 20; u = h + 14; a = u + 20; h = g + 16; d = 8; g = z + 5. If d = 8, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"k": "e + 9", "q": "k + 15", "i": "q + 18", "j": "i + 20", "l": "j + 15", "y": "l + 8", "t": "e + 16", "s": "t + 9", "x": "s + 4", "c": "x + 17", "r": "c + 7", "w": "r + 8", "e": 19}, "premises": {"e": 19}, "target": "y"}, "answer": {"steps": [["l", "j + 15", "j + 23"], ["j", "i + 20", "i + 43"], ["i", "q + 18", "q + 61"], ["q", "k + 15", "k + 76"], ["k", "e + 9", "e + 85"], ["e", 19, "104"]], "target_var_name": "y", "target_value": 104, "value_dict": {"e": 19}, "is_reverse": true}}
| 3,515
| 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 = i + 20; x = s + 4; i = q + 18; e = 19; r = c + 7; l = j + 15; c = x + 17; y = l + 8; s = t + 9; k = e + 9; t = e + 16; q = k + 15; w = r + 8. If e = 19, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 104,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = j + 15 to y, which gives y = j + 23.\n2. Substitute j = i + 20 to y, which gives y = i + 43.\n3. Substitute i = q + 18 to y, which gives y = q + 61.\n4. Substitute q = k + 15 to y, which gives y = k + 76.\n5. Substitute k = e + 9 to y, which gives y = e + 85.\n6. Substitute e = 19 to y, which gives y = 104.\n\nThus, the final answer is y = \\boxed{104}.",
"index": 3515,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = i + 20; x = s + 4; i = q + 18; e = 19; r = c + 7; l = j + 15; c = x + 17; y = l + 8; s = t + 9; k = e + 9; t = e + 16; q = k + 15; w = r + 8. If e = 19, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"c": "a + 18", "v": "c + 5", "o": "v + 10", "q": "o + 2", "n": "q + 20", "g": "n + 20", "t": "a + 6", "y": "t + 1", "k": "y + 11", "u": "k + 2", "e": "u + 14", "i": "e + 7", "a": 6}, "premises": {"a": 6}, "target": "g"}, "answer": {"steps": [["n", "q + 20", "q + 40"], ["q", "o + 2", "o + 42"], ["o", "v + 10", "v + 52"], ["v", "c + 5", "c + 57"], ["c", "a + 18", "a + 75"], ["a", 6, "81"]], "target_var_name": "g", "target_value": 81, "value_dict": {"a": 6}, "is_reverse": true}}
| 3,516
| 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 = n + 20; q = o + 2; c = a + 18; i = e + 7; n = q + 20; t = a + 6; e = u + 14; k = y + 11; y = t + 1; o = v + 10; v = c + 5; a = 6; u = k + 2. If a = 6, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = q + 20 to g, which gives g = q + 40.\n2. Substitute q = o + 2 to g, which gives g = o + 42.\n3. Substitute o = v + 10 to g, which gives g = v + 52.\n4. Substitute v = c + 5 to g, which gives g = c + 57.\n5. Substitute c = a + 18 to g, which gives g = a + 75.\n6. Substitute a = 6 to g, which gives g = 81.\n\nThus, the final answer is g = \\boxed{81}.",
"index": 3516,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = n + 20; q = o + 2; c = a + 18; i = e + 7; n = q + 20; t = a + 6; e = u + 14; k = y + 11; y = t + 1; o = v + 10; v = c + 5; a = 6; u = k + 2. If a = 6, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"e": "k + 18", "u": "e + 16", "p": "u + 2", "f": "p + 19", "x": "f + 3", "z": "x + 4", "j": "k + 19", "o": "j + 15", "i": "o + 4", "h": "i + 20", "w": "h + 13", "l": "w + 6", "k": 3}, "premises": {"k": 3}, "target": "z"}, "answer": {"steps": [["x", "f + 3", "f + 7"], ["f", "p + 19", "p + 26"], ["p", "u + 2", "u + 28"], ["u", "e + 16", "e + 44"], ["e", "k + 18", "k + 62"], ["k", 3, "65"]], "target_var_name": "z", "target_value": 65, "value_dict": {"k": 3}, "is_reverse": true}}
| 3,517
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = u + 2; o = j + 15; k = 3; i = o + 4; f = p + 19; e = k + 18; j = k + 19; u = e + 16; x = f + 3; l = w + 6; w = h + 13; h = i + 20; z = x + 4. Given that k = 3, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = f + 3 to z, which gives z = f + 7.\n2. Substitute f = p + 19 to z, which gives z = p + 26.\n3. Substitute p = u + 2 to z, which gives z = u + 28.\n4. Substitute u = e + 16 to z, which gives z = e + 44.\n5. Substitute e = k + 18 to z, which gives z = k + 62.\n6. Substitute k = 3 to z, which gives z = 65.\n\nThus, the final answer is z = \\boxed{65}.",
"index": 3517,
"question": "Suppose a collection of variables is related by the following definitions: p = u + 2; o = j + 15; k = 3; i = o + 4; f = p + 19; e = k + 18; j = k + 19; u = e + 16; x = f + 3; l = w + 6; w = h + 13; h = i + 20; z = x + 4. Given that k = 3, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"v": "r + 16", "m": "v + 14", "l": "m + 17", "b": "l + 9", "h": "b + 13", "n": "h + 8", "a": "r + 11", "y": "a + 1", "k": "y + 7", "i": "k + 17", "c": "i + 19", "t": "c + 9", "r": 6}, "premises": {"r": 6}, "target": "n"}, "answer": {"steps": [["h", "b + 13", "b + 21"], ["b", "l + 9", "l + 30"], ["l", "m + 17", "m + 47"], ["m", "v + 14", "v + 61"], ["v", "r + 16", "r + 77"], ["r", 6, "83"]], "target_var_name": "n", "target_value": 83, "value_dict": {"r": 6}, "is_reverse": true}}
| 3,518
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = c + 9; l = m + 17; n = h + 8; a = r + 11; h = b + 13; m = v + 14; r = 6; k = y + 7; i = k + 17; c = i + 19; v = r + 16; b = l + 9; y = a + 1. Given that r = 6, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = b + 13 to n, which gives n = b + 21.\n2. Substitute b = l + 9 to n, which gives n = l + 30.\n3. Substitute l = m + 17 to n, which gives n = m + 47.\n4. Substitute m = v + 14 to n, which gives n = v + 61.\n5. Substitute v = r + 16 to n, which gives n = r + 77.\n6. Substitute r = 6 to n, which gives n = 83.\n\nThus, the final answer is n = \\boxed{83}.",
"index": 3518,
"question": "Suppose a collection of variables is related by the following definitions: t = c + 9; l = m + 17; n = h + 8; a = r + 11; h = b + 13; m = v + 14; r = 6; k = y + 7; i = k + 17; c = i + 19; v = r + 16; b = l + 9; y = a + 1. Given that r = 6, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"t": "d + 4", "h": "t + 15", "k": "h + 16", "v": "k + 18", "r": "v + 3", "u": "r + 9", "n": "d + 2", "m": "n + 11", "l": "m + 16", "e": "l + 4", "w": "e + 18", "c": "w + 12", "d": 3}, "premises": {"d": 3}, "target": "u"}, "answer": {"steps": [["r", "v + 3", "v + 12"], ["v", "k + 18", "k + 30"], ["k", "h + 16", "h + 46"], ["h", "t + 15", "t + 61"], ["t", "d + 4", "d + 65"], ["d", 3, "68"]], "target_var_name": "u", "target_value": 68, "value_dict": {"d": 3}, "is_reverse": true}}
| 3,519
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = h + 16; c = w + 12; t = d + 4; w = e + 18; u = r + 9; h = t + 15; r = v + 3; e = l + 4; v = k + 18; m = n + 11; l = m + 16; n = d + 2; d = 3. If d = 3, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = v + 3 to u, which gives u = v + 12.\n2. Substitute v = k + 18 to u, which gives u = k + 30.\n3. Substitute k = h + 16 to u, which gives u = h + 46.\n4. Substitute h = t + 15 to u, which gives u = t + 61.\n5. Substitute t = d + 4 to u, which gives u = d + 65.\n6. Substitute d = 3 to u, which gives u = 68.\n\nThus, the final answer is u = \\boxed{68}.",
"index": 3519,
"question": "Consider a system of variables where each variable is defined as follows: k = h + 16; c = w + 12; t = d + 4; w = e + 18; u = r + 9; h = t + 15; r = v + 3; e = l + 4; v = k + 18; m = n + 11; l = m + 16; n = d + 2; d = 3. If d = 3, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"a": "d + 6", "z": "a + 17", "g": "z + 7", "x": "g + 17", "p": "x + 11", "r": "p + 2", "w": "d + 19", "b": "w + 16", "u": "b + 7", "i": "u + 11", "c": "i + 5", "o": "c + 6", "d": 4}, "premises": {"d": 4}, "target": "r"}, "answer": {"steps": [["p", "x + 11", "x + 13"], ["x", "g + 17", "g + 30"], ["g", "z + 7", "z + 37"], ["z", "a + 17", "a + 54"], ["a", "d + 6", "d + 60"], ["d", 4, "64"]], "target_var_name": "r", "target_value": 64, "value_dict": {"d": 4}, "is_reverse": true}}
| 3,520
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = z + 7; u = b + 7; z = a + 17; i = u + 11; r = p + 2; o = c + 6; c = i + 5; d = 4; w = d + 19; b = w + 16; a = d + 6; x = g + 17; p = x + 11. Given that d = 4, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = x + 11 to r, which gives r = x + 13.\n2. Substitute x = g + 17 to r, which gives r = g + 30.\n3. Substitute g = z + 7 to r, which gives r = z + 37.\n4. Substitute z = a + 17 to r, which gives r = a + 54.\n5. Substitute a = d + 6 to r, which gives r = d + 60.\n6. Substitute d = 4 to r, which gives r = 64.\n\nThus, the final answer is r = \\boxed{64}.",
"index": 3520,
"question": "Suppose a collection of variables is related by the following definitions: g = z + 7; u = b + 7; z = a + 17; i = u + 11; r = p + 2; o = c + 6; c = i + 5; d = 4; w = d + 19; b = w + 16; a = d + 6; x = g + 17; p = x + 11. Given that d = 4, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"j": "e + 18", "v": "j + 5", "y": "v + 2", "c": "y + 19", "r": "c + 17", "m": "r + 10", "w": "e + 7", "g": "w + 16", "a": "g + 20", "i": "a + 4", "n": "i + 5", "q": "n + 10", "e": 15}, "premises": {"e": 15}, "target": "m"}, "answer": {"steps": [["r", "c + 17", "c + 27"], ["c", "y + 19", "y + 46"], ["y", "v + 2", "v + 48"], ["v", "j + 5", "j + 53"], ["j", "e + 18", "e + 71"], ["e", 15, "86"]], "target_var_name": "m", "target_value": 86, "value_dict": {"e": 15}, "is_reverse": true}}
| 3,521
| 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 + 2; q = n + 10; a = g + 20; j = e + 18; v = j + 5; g = w + 16; i = a + 4; m = r + 10; e = 15; r = c + 17; w = e + 7; n = i + 5; c = y + 19. If e = 15, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = c + 17 to m, which gives m = c + 27.\n2. Substitute c = y + 19 to m, which gives m = y + 46.\n3. Substitute y = v + 2 to m, which gives m = v + 48.\n4. Substitute v = j + 5 to m, which gives m = j + 53.\n5. Substitute j = e + 18 to m, which gives m = e + 71.\n6. Substitute e = 15 to m, which gives m = 86.\n\nThus, the final answer is m = \\boxed{86}.",
"index": 3521,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = v + 2; q = n + 10; a = g + 20; j = e + 18; v = j + 5; g = w + 16; i = a + 4; m = r + 10; e = 15; r = c + 17; w = e + 7; n = i + 5; c = y + 19. If e = 15, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"y": "r + 2", "m": "y + 12", "z": "m + 9", "t": "z + 18", "x": "t + 6", "o": "x + 10", "b": "r + 19", "g": "b + 13", "s": "g + 16", "v": "s + 14", "j": "v + 2", "c": "j + 13", "r": 17}, "premises": {"r": 17}, "target": "o"}, "answer": {"steps": [["x", "t + 6", "t + 16"], ["t", "z + 18", "z + 34"], ["z", "m + 9", "m + 43"], ["m", "y + 12", "y + 55"], ["y", "r + 2", "r + 57"], ["r", 17, "74"]], "target_var_name": "o", "target_value": 74, "value_dict": {"r": 17}, "is_reverse": true}}
| 3,522
| 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 = v + 2; t = z + 18; z = m + 9; x = t + 6; o = x + 10; b = r + 19; v = s + 14; g = b + 13; m = y + 12; c = j + 13; y = r + 2; s = g + 16; r = 17. If r = 17, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = t + 6 to o, which gives o = t + 16.\n2. Substitute t = z + 18 to o, which gives o = z + 34.\n3. Substitute z = m + 9 to o, which gives o = m + 43.\n4. Substitute m = y + 12 to o, which gives o = y + 55.\n5. Substitute y = r + 2 to o, which gives o = r + 57.\n6. Substitute r = 17 to o, which gives o = 74.\n\nThus, the final answer is o = \\boxed{74}.",
"index": 3522,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = v + 2; t = z + 18; z = m + 9; x = t + 6; o = x + 10; b = r + 19; v = s + 14; g = b + 13; m = y + 12; c = j + 13; y = r + 2; s = g + 16; r = 17. If r = 17, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"b": "j + 19", "m": "b + 8", "p": "m + 5", "e": "p + 19", "c": "e + 5", "q": "c + 15", "r": "j + 12", "l": "r + 8", "a": "l + 20", "o": "a + 15", "v": "o + 4", "f": "v + 16", "j": 13}, "premises": {"j": 13}, "target": "q"}, "answer": {"steps": [["c", "e + 5", "e + 20"], ["e", "p + 19", "p + 39"], ["p", "m + 5", "m + 44"], ["m", "b + 8", "b + 52"], ["b", "j + 19", "j + 71"], ["j", 13, "84"]], "target_var_name": "q", "target_value": 84, "value_dict": {"j": 13}, "is_reverse": true}}
| 3,523
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = 13; o = a + 15; v = o + 4; a = l + 20; e = p + 19; p = m + 5; c = e + 5; r = j + 12; b = j + 19; m = b + 8; l = r + 8; f = v + 16; q = c + 15. If j = 13, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = e + 5 to q, which gives q = e + 20.\n2. Substitute e = p + 19 to q, which gives q = p + 39.\n3. Substitute p = m + 5 to q, which gives q = m + 44.\n4. Substitute m = b + 8 to q, which gives q = b + 52.\n5. Substitute b = j + 19 to q, which gives q = j + 71.\n6. Substitute j = 13 to q, which gives q = 84.\n\nThus, the final answer is q = \\boxed{84}.",
"index": 3523,
"question": "Consider a system of variables where each variable is defined as follows: j = 13; o = a + 15; v = o + 4; a = l + 20; e = p + 19; p = m + 5; c = e + 5; r = j + 12; b = j + 19; m = b + 8; l = r + 8; f = v + 16; q = c + 15. If j = 13, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"m": "f + 18", "u": "m + 12", "e": "u + 15", "p": "e + 18", "n": "p + 1", "c": "n + 20", "h": "f + 14", "a": "h + 6", "t": "a + 9", "o": "t + 19", "y": "o + 10", "l": "y + 4", "f": 8}, "premises": {"f": 8}, "target": "c"}, "answer": {"steps": [["n", "p + 1", "p + 21"], ["p", "e + 18", "e + 39"], ["e", "u + 15", "u + 54"], ["u", "m + 12", "m + 66"], ["m", "f + 18", "f + 84"], ["f", 8, "92"]], "target_var_name": "c", "target_value": 92, "value_dict": {"f": 8}, "is_reverse": true}}
| 3,524
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = o + 10; c = n + 20; e = u + 15; p = e + 18; n = p + 1; f = 8; h = f + 14; u = m + 12; a = h + 6; t = a + 9; o = t + 19; m = f + 18; l = y + 4. Given that f = 8, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = p + 1 to c, which gives c = p + 21.\n2. Substitute p = e + 18 to c, which gives c = e + 39.\n3. Substitute e = u + 15 to c, which gives c = u + 54.\n4. Substitute u = m + 12 to c, which gives c = m + 66.\n5. Substitute m = f + 18 to c, which gives c = f + 84.\n6. Substitute f = 8 to c, which gives c = 92.\n\nThus, the final answer is c = \\boxed{92}.",
"index": 3524,
"question": "Suppose a collection of variables is related by the following definitions: y = o + 10; c = n + 20; e = u + 15; p = e + 18; n = p + 1; f = 8; h = f + 14; u = m + 12; a = h + 6; t = a + 9; o = t + 19; m = f + 18; l = y + 4. Given that f = 8, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"a": "m + 10", "q": "a + 5", "p": "q + 4", "f": "p + 9", "j": "f + 18", "z": "j + 17", "c": "m + 15", "g": "c + 3", "i": "g + 2", "h": "i + 15", "x": "h + 19", "s": "x + 2", "m": 10}, "premises": {"m": 10}, "target": "z"}, "answer": {"steps": [["j", "f + 18", "f + 35"], ["f", "p + 9", "p + 44"], ["p", "q + 4", "q + 48"], ["q", "a + 5", "a + 53"], ["a", "m + 10", "m + 63"], ["m", 10, "73"]], "target_var_name": "z", "target_value": 73, "value_dict": {"m": 10}, "is_reverse": true}}
| 3,525
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = f + 18; m = 10; s = x + 2; q = a + 5; g = c + 3; c = m + 15; f = p + 9; p = q + 4; a = m + 10; i = g + 2; x = h + 19; h = i + 15; z = j + 17. Given that m = 10, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = f + 18 to z, which gives z = f + 35.\n2. Substitute f = p + 9 to z, which gives z = p + 44.\n3. Substitute p = q + 4 to z, which gives z = q + 48.\n4. Substitute q = a + 5 to z, which gives z = a + 53.\n5. Substitute a = m + 10 to z, which gives z = m + 63.\n6. Substitute m = 10 to z, which gives z = 73.\n\nThus, the final answer is z = \\boxed{73}.",
"index": 3525,
"question": "Suppose a collection of variables is related by the following definitions: j = f + 18; m = 10; s = x + 2; q = a + 5; g = c + 3; c = m + 15; f = p + 9; p = q + 4; a = m + 10; i = g + 2; x = h + 19; h = i + 15; z = j + 17. Given that m = 10, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"f": "r + 18", "m": "f + 6", "n": "m + 11", "d": "n + 11", "v": "d + 15", "y": "v + 19", "p": "r + 6", "b": "p + 7", "l": "b + 14", "u": "l + 13", "w": "u + 9", "t": "w + 15", "r": 11}, "premises": {"r": 11}, "target": "y"}, "answer": {"steps": [["v", "d + 15", "d + 34"], ["d", "n + 11", "n + 45"], ["n", "m + 11", "m + 56"], ["m", "f + 6", "f + 62"], ["f", "r + 18", "r + 80"], ["r", 11, "91"]], "target_var_name": "y", "target_value": 91, "value_dict": {"r": 11}, "is_reverse": true}}
| 3,526
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = d + 15; t = w + 15; l = b + 14; m = f + 6; r = 11; w = u + 9; y = v + 19; p = r + 6; d = n + 11; u = l + 13; f = r + 18; n = m + 11; b = p + 7. Given that r = 11, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = d + 15 to y, which gives y = d + 34.\n2. Substitute d = n + 11 to y, which gives y = n + 45.\n3. Substitute n = m + 11 to y, which gives y = m + 56.\n4. Substitute m = f + 6 to y, which gives y = f + 62.\n5. Substitute f = r + 18 to y, which gives y = r + 80.\n6. Substitute r = 11 to y, which gives y = 91.\n\nThus, the final answer is y = \\boxed{91}.",
"index": 3526,
"question": "Suppose a collection of variables is related by the following definitions: v = d + 15; t = w + 15; l = b + 14; m = f + 6; r = 11; w = u + 9; y = v + 19; p = r + 6; d = n + 11; u = l + 13; f = r + 18; n = m + 11; b = p + 7. Given that r = 11, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"p": "k + 19", "f": "p + 18", "e": "f + 5", "q": "e + 10", "z": "q + 15", "c": "z + 13", "x": "k + 5", "i": "x + 12", "t": "i + 10", "w": "t + 12", "a": "w + 11", "u": "a + 15", "k": 7}, "premises": {"k": 7}, "target": "c"}, "answer": {"steps": [["z", "q + 15", "q + 28"], ["q", "e + 10", "e + 38"], ["e", "f + 5", "f + 43"], ["f", "p + 18", "p + 61"], ["p", "k + 19", "k + 80"], ["k", 7, "87"]], "target_var_name": "c", "target_value": 87, "value_dict": {"k": 7}, "is_reverse": true}}
| 3,527
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = e + 10; u = a + 15; t = i + 10; k = 7; z = q + 15; c = z + 13; f = p + 18; i = x + 12; e = f + 5; a = w + 11; x = k + 5; w = t + 12; p = k + 19. If k = 7, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = q + 15 to c, which gives c = q + 28.\n2. Substitute q = e + 10 to c, which gives c = e + 38.\n3. Substitute e = f + 5 to c, which gives c = f + 43.\n4. Substitute f = p + 18 to c, which gives c = p + 61.\n5. Substitute p = k + 19 to c, which gives c = k + 80.\n6. Substitute k = 7 to c, which gives c = 87.\n\nThus, the final answer is c = \\boxed{87}.",
"index": 3527,
"question": "Consider a system of variables where each variable is defined as follows: q = e + 10; u = a + 15; t = i + 10; k = 7; z = q + 15; c = z + 13; f = p + 18; i = x + 12; e = f + 5; a = w + 11; x = k + 5; w = t + 12; p = k + 19. If k = 7, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"c": "x + 9", "n": "c + 20", "j": "n + 17", "g": "j + 15", "b": "g + 8", "d": "b + 16", "o": "x + 5", "h": "o + 1", "f": "h + 12", "i": "f + 19", "t": "i + 17", "p": "t + 2", "x": 6}, "premises": {"x": 6}, "target": "d"}, "answer": {"steps": [["b", "g + 8", "g + 24"], ["g", "j + 15", "j + 39"], ["j", "n + 17", "n + 56"], ["n", "c + 20", "c + 76"], ["c", "x + 9", "x + 85"], ["x", 6, "91"]], "target_var_name": "d", "target_value": 91, "value_dict": {"x": 6}, "is_reverse": true}}
| 3,528
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = j + 15; c = x + 9; t = i + 17; x = 6; f = h + 12; b = g + 8; d = b + 16; n = c + 20; j = n + 17; o = x + 5; h = o + 1; p = t + 2; i = f + 19. If x = 6, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = g + 8 to d, which gives d = g + 24.\n2. Substitute g = j + 15 to d, which gives d = j + 39.\n3. Substitute j = n + 17 to d, which gives d = n + 56.\n4. Substitute n = c + 20 to d, which gives d = c + 76.\n5. Substitute c = x + 9 to d, which gives d = x + 85.\n6. Substitute x = 6 to d, which gives d = 91.\n\nThus, the final answer is d = \\boxed{91}.",
"index": 3528,
"question": "Consider a system of variables where each variable is defined as follows: g = j + 15; c = x + 9; t = i + 17; x = 6; f = h + 12; b = g + 8; d = b + 16; n = c + 20; j = n + 17; o = x + 5; h = o + 1; p = t + 2; i = f + 19. If x = 6, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"y": "g + 15", "v": "y + 1", "t": "v + 8", "x": "t + 20", "b": "x + 16", "z": "b + 1", "w": "g + 4", "p": "w + 2", "a": "p + 13", "s": "a + 12", "r": "s + 8", "o": "r + 12", "g": 19}, "premises": {"g": 19}, "target": "z"}, "answer": {"steps": [["b", "x + 16", "x + 17"], ["x", "t + 20", "t + 37"], ["t", "v + 8", "v + 45"], ["v", "y + 1", "y + 46"], ["y", "g + 15", "g + 61"], ["g", 19, "80"]], "target_var_name": "z", "target_value": 80, "value_dict": {"g": 19}, "is_reverse": true}}
| 3,529
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = y + 1; b = x + 16; a = p + 13; w = g + 4; x = t + 20; s = a + 12; z = b + 1; y = g + 15; r = s + 8; t = v + 8; p = w + 2; o = r + 12; g = 19. Given that g = 19, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = x + 16 to z, which gives z = x + 17.\n2. Substitute x = t + 20 to z, which gives z = t + 37.\n3. Substitute t = v + 8 to z, which gives z = v + 45.\n4. Substitute v = y + 1 to z, which gives z = y + 46.\n5. Substitute y = g + 15 to z, which gives z = g + 61.\n6. Substitute g = 19 to z, which gives z = 80.\n\nThus, the final answer is z = \\boxed{80}.",
"index": 3529,
"question": "Suppose a collection of variables is related by the following definitions: v = y + 1; b = x + 16; a = p + 13; w = g + 4; x = t + 20; s = a + 12; z = b + 1; y = g + 15; r = s + 8; t = v + 8; p = w + 2; o = r + 12; g = 19. Given that g = 19, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"q": "a + 8", "r": "q + 20", "b": "r + 14", "y": "b + 7", "z": "y + 16", "u": "z + 1", "w": "a + 5", "t": "w + 12", "x": "t + 16", "v": "x + 16", "o": "v + 5", "i": "o + 11", "a": 13}, "premises": {"a": 13}, "target": "u"}, "answer": {"steps": [["z", "y + 16", "y + 17"], ["y", "b + 7", "b + 24"], ["b", "r + 14", "r + 38"], ["r", "q + 20", "q + 58"], ["q", "a + 8", "a + 66"], ["a", 13, "79"]], "target_var_name": "u", "target_value": 79, "value_dict": {"a": 13}, "is_reverse": true}}
| 3,530
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = a + 8; v = x + 16; b = r + 14; r = q + 20; u = z + 1; t = w + 12; z = y + 16; i = o + 11; x = t + 16; w = a + 5; y = b + 7; o = v + 5; a = 13. Given that a = 13, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = y + 16 to u, which gives u = y + 17.\n2. Substitute y = b + 7 to u, which gives u = b + 24.\n3. Substitute b = r + 14 to u, which gives u = r + 38.\n4. Substitute r = q + 20 to u, which gives u = q + 58.\n5. Substitute q = a + 8 to u, which gives u = a + 66.\n6. Substitute a = 13 to u, which gives u = 79.\n\nThus, the final answer is u = \\boxed{79}.",
"index": 3530,
"question": "Suppose a collection of variables is related by the following definitions: q = a + 8; v = x + 16; b = r + 14; r = q + 20; u = z + 1; t = w + 12; z = y + 16; i = o + 11; x = t + 16; w = a + 5; y = b + 7; o = v + 5; a = 13. Given that a = 13, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"f": "d + 20", "t": "f + 7", "k": "t + 11", "e": "k + 18", "x": "e + 10", "z": "x + 12", "l": "d + 18", "w": "l + 19", "a": "w + 1", "u": "a + 10", "r": "u + 19", "b": "r + 20", "d": 8}, "premises": {"d": 8}, "target": "z"}, "answer": {"steps": [["x", "e + 10", "e + 22"], ["e", "k + 18", "k + 40"], ["k", "t + 11", "t + 51"], ["t", "f + 7", "f + 58"], ["f", "d + 20", "d + 78"], ["d", 8, "86"]], "target_var_name": "z", "target_value": 86, "value_dict": {"d": 8}, "is_reverse": true}}
| 3,531
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = a + 10; k = t + 11; a = w + 1; z = x + 12; x = e + 10; d = 8; r = u + 19; b = r + 20; e = k + 18; w = l + 19; t = f + 7; f = d + 20; l = d + 18. If d = 8, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = e + 10 to z, which gives z = e + 22.\n2. Substitute e = k + 18 to z, which gives z = k + 40.\n3. Substitute k = t + 11 to z, which gives z = t + 51.\n4. Substitute t = f + 7 to z, which gives z = f + 58.\n5. Substitute f = d + 20 to z, which gives z = d + 78.\n6. Substitute d = 8 to z, which gives z = 86.\n\nThus, the final answer is z = \\boxed{86}.",
"index": 3531,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = a + 10; k = t + 11; a = w + 1; z = x + 12; x = e + 10; d = 8; r = u + 19; b = r + 20; e = k + 18; w = l + 19; t = f + 7; f = d + 20; l = d + 18. If d = 8, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"a": "o + 4", "l": "a + 20", "b": "l + 12", "e": "b + 4", "s": "e + 20", "w": "s + 8", "t": "o + 9", "v": "t + 6", "m": "v + 11", "i": "m + 15", "p": "i + 12", "n": "p + 7", "o": 11}, "premises": {"o": 11}, "target": "w"}, "answer": {"steps": [["s", "e + 20", "e + 28"], ["e", "b + 4", "b + 32"], ["b", "l + 12", "l + 44"], ["l", "a + 20", "a + 64"], ["a", "o + 4", "o + 68"], ["o", 11, "79"]], "target_var_name": "w", "target_value": 79, "value_dict": {"o": 11}, "is_reverse": true}}
| 3,532
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = i + 12; e = b + 4; n = p + 7; l = a + 20; b = l + 12; a = o + 4; v = t + 6; t = o + 9; i = m + 15; w = s + 8; o = 11; m = v + 11; s = e + 20. If o = 11, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = e + 20 to w, which gives w = e + 28.\n2. Substitute e = b + 4 to w, which gives w = b + 32.\n3. Substitute b = l + 12 to w, which gives w = l + 44.\n4. Substitute l = a + 20 to w, which gives w = a + 64.\n5. Substitute a = o + 4 to w, which gives w = o + 68.\n6. Substitute o = 11 to w, which gives w = 79.\n\nThus, the final answer is w = \\boxed{79}.",
"index": 3532,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = i + 12; e = b + 4; n = p + 7; l = a + 20; b = l + 12; a = o + 4; v = t + 6; t = o + 9; i = m + 15; w = s + 8; o = 11; m = v + 11; s = e + 20. If o = 11, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"n": "p + 18", "j": "n + 15", "u": "j + 1", "r": "u + 1", "y": "r + 10", "m": "y + 17", "g": "p + 19", "d": "g + 2", "w": "d + 9", "h": "w + 6", "o": "h + 17", "b": "o + 13", "p": 12}, "premises": {"p": 12}, "target": "m"}, "answer": {"steps": [["y", "r + 10", "r + 27"], ["r", "u + 1", "u + 28"], ["u", "j + 1", "j + 29"], ["j", "n + 15", "n + 44"], ["n", "p + 18", "p + 62"], ["p", 12, "74"]], "target_var_name": "m", "target_value": 74, "value_dict": {"p": 12}, "is_reverse": true}}
| 3,533
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = j + 1; p = 12; r = u + 1; g = p + 19; o = h + 17; n = p + 18; h = w + 6; y = r + 10; m = y + 17; d = g + 2; w = d + 9; j = n + 15; b = o + 13. If p = 12, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = r + 10 to m, which gives m = r + 27.\n2. Substitute r = u + 1 to m, which gives m = u + 28.\n3. Substitute u = j + 1 to m, which gives m = j + 29.\n4. Substitute j = n + 15 to m, which gives m = n + 44.\n5. Substitute n = p + 18 to m, which gives m = p + 62.\n6. Substitute p = 12 to m, which gives m = 74.\n\nThus, the final answer is m = \\boxed{74}.",
"index": 3533,
"question": "Consider a system of variables where each variable is defined as follows: u = j + 1; p = 12; r = u + 1; g = p + 19; o = h + 17; n = p + 18; h = w + 6; y = r + 10; m = y + 17; d = g + 2; w = d + 9; j = n + 15; b = o + 13. If p = 12, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"b": "e + 5", "n": "b + 1", "w": "n + 5", "j": "w + 19", "f": "j + 18", "y": "f + 1", "l": "e + 14", "d": "l + 15", "g": "d + 15", "p": "g + 17", "h": "p + 15", "r": "h + 1", "e": 10}, "premises": {"e": 10}, "target": "y"}, "answer": {"steps": [["f", "j + 18", "j + 19"], ["j", "w + 19", "w + 38"], ["w", "n + 5", "n + 43"], ["n", "b + 1", "b + 44"], ["b", "e + 5", "e + 49"], ["e", 10, "59"]], "target_var_name": "y", "target_value": 59, "value_dict": {"e": 10}, "is_reverse": true}}
| 3,534
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = g + 17; j = w + 19; f = j + 18; e = 10; d = l + 15; n = b + 1; r = h + 1; y = f + 1; b = e + 5; l = e + 14; w = n + 5; g = d + 15; h = p + 15. If e = 10, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = j + 18 to y, which gives y = j + 19.\n2. Substitute j = w + 19 to y, which gives y = w + 38.\n3. Substitute w = n + 5 to y, which gives y = n + 43.\n4. Substitute n = b + 1 to y, which gives y = b + 44.\n5. Substitute b = e + 5 to y, which gives y = e + 49.\n6. Substitute e = 10 to y, which gives y = 59.\n\nThus, the final answer is y = \\boxed{59}.",
"index": 3534,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = g + 17; j = w + 19; f = j + 18; e = 10; d = l + 15; n = b + 1; r = h + 1; y = f + 1; b = e + 5; l = e + 14; w = n + 5; g = d + 15; h = p + 15. If e = 10, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"z": "n + 6", "j": "z + 10", "b": "j + 15", "k": "b + 8", "u": "k + 19", "d": "u + 5", "e": "n + 9", "p": "e + 20", "c": "p + 18", "a": "c + 18", "v": "a + 16", "g": "v + 15", "n": 6}, "premises": {"n": 6}, "target": "d"}, "answer": {"steps": [["u", "k + 19", "k + 24"], ["k", "b + 8", "b + 32"], ["b", "j + 15", "j + 47"], ["j", "z + 10", "z + 57"], ["z", "n + 6", "n + 63"], ["n", 6, "69"]], "target_var_name": "d", "target_value": 69, "value_dict": {"n": 6}, "is_reverse": true}}
| 3,535
| 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 = c + 18; j = z + 10; d = u + 5; p = e + 20; e = n + 9; c = p + 18; b = j + 15; g = v + 15; v = a + 16; u = k + 19; z = n + 6; k = b + 8; n = 6. If n = 6, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = k + 19 to d, which gives d = k + 24.\n2. Substitute k = b + 8 to d, which gives d = b + 32.\n3. Substitute b = j + 15 to d, which gives d = j + 47.\n4. Substitute j = z + 10 to d, which gives d = z + 57.\n5. Substitute z = n + 6 to d, which gives d = n + 63.\n6. Substitute n = 6 to d, which gives d = 69.\n\nThus, the final answer is d = \\boxed{69}.",
"index": 3535,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = c + 18; j = z + 10; d = u + 5; p = e + 20; e = n + 9; c = p + 18; b = j + 15; g = v + 15; v = a + 16; u = k + 19; z = n + 6; k = b + 8; n = 6. If n = 6, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"x": "z + 13", "g": "x + 19", "i": "g + 3", "v": "i + 4", "r": "v + 5", "a": "r + 10", "y": "z + 12", "w": "y + 18", "u": "w + 6", "m": "u + 1", "o": "m + 18", "d": "o + 6", "z": 13}, "premises": {"z": 13}, "target": "a"}, "answer": {"steps": [["r", "v + 5", "v + 15"], ["v", "i + 4", "i + 19"], ["i", "g + 3", "g + 22"], ["g", "x + 19", "x + 41"], ["x", "z + 13", "z + 54"], ["z", 13, "67"]], "target_var_name": "a", "target_value": 67, "value_dict": {"z": 13}, "is_reverse": true}}
| 3,536
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = z + 12; r = v + 5; i = g + 3; u = w + 6; o = m + 18; m = u + 1; g = x + 19; w = y + 18; d = o + 6; x = z + 13; v = i + 4; z = 13; a = r + 10. If z = 13, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = v + 5 to a, which gives a = v + 15.\n2. Substitute v = i + 4 to a, which gives a = i + 19.\n3. Substitute i = g + 3 to a, which gives a = g + 22.\n4. Substitute g = x + 19 to a, which gives a = x + 41.\n5. Substitute x = z + 13 to a, which gives a = z + 54.\n6. Substitute z = 13 to a, which gives a = 67.\n\nThus, the final answer is a = \\boxed{67}.",
"index": 3536,
"question": "Consider a system of variables where each variable is defined as follows: y = z + 12; r = v + 5; i = g + 3; u = w + 6; o = m + 18; m = u + 1; g = x + 19; w = y + 18; d = o + 6; x = z + 13; v = i + 4; z = 13; a = r + 10. If z = 13, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"m": "g + 13", "n": "m + 1", "j": "n + 17", "h": "j + 17", "z": "h + 2", "v": "z + 16", "y": "g + 12", "s": "y + 12", "f": "s + 8", "c": "f + 20", "p": "c + 17", "o": "p + 9", "g": 6}, "premises": {"g": 6}, "target": "v"}, "answer": {"steps": [["z", "h + 2", "h + 18"], ["h", "j + 17", "j + 35"], ["j", "n + 17", "n + 52"], ["n", "m + 1", "m + 53"], ["m", "g + 13", "g + 66"], ["g", 6, "72"]], "target_var_name": "v", "target_value": 72, "value_dict": {"g": 6}, "is_reverse": true}}
| 3,537
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = p + 9; g = 6; f = s + 8; h = j + 17; v = z + 16; p = c + 17; n = m + 1; m = g + 13; s = y + 12; y = g + 12; j = n + 17; z = h + 2; c = f + 20. Given that g = 6, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = h + 2 to v, which gives v = h + 18.\n2. Substitute h = j + 17 to v, which gives v = j + 35.\n3. Substitute j = n + 17 to v, which gives v = n + 52.\n4. Substitute n = m + 1 to v, which gives v = m + 53.\n5. Substitute m = g + 13 to v, which gives v = g + 66.\n6. Substitute g = 6 to v, which gives v = 72.\n\nThus, the final answer is v = \\boxed{72}.",
"index": 3537,
"question": "Suppose a collection of variables is related by the following definitions: o = p + 9; g = 6; f = s + 8; h = j + 17; v = z + 16; p = c + 17; n = m + 1; m = g + 13; s = y + 12; y = g + 12; j = n + 17; z = h + 2; c = f + 20. Given that g = 6, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"t": "x + 4", "n": "t + 12", "m": "n + 1", "v": "m + 20", "h": "v + 18", "d": "h + 16", "b": "x + 5", "a": "b + 11", "r": "a + 1", "j": "r + 1", "c": "j + 15", "f": "c + 2", "x": 5}, "premises": {"x": 5}, "target": "d"}, "answer": {"steps": [["h", "v + 18", "v + 34"], ["v", "m + 20", "m + 54"], ["m", "n + 1", "n + 55"], ["n", "t + 12", "t + 67"], ["t", "x + 4", "x + 71"], ["x", 5, "76"]], "target_var_name": "d", "target_value": 76, "value_dict": {"x": 5}, "is_reverse": true}}
| 3,538
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = a + 1; f = c + 2; d = h + 16; h = v + 18; b = x + 5; j = r + 1; c = j + 15; n = t + 12; x = 5; v = m + 20; t = x + 4; m = n + 1; a = b + 11. Given that x = 5, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = v + 18 to d, which gives d = v + 34.\n2. Substitute v = m + 20 to d, which gives d = m + 54.\n3. Substitute m = n + 1 to d, which gives d = n + 55.\n4. Substitute n = t + 12 to d, which gives d = t + 67.\n5. Substitute t = x + 4 to d, which gives d = x + 71.\n6. Substitute x = 5 to d, which gives d = 76.\n\nThus, the final answer is d = \\boxed{76}.",
"index": 3538,
"question": "Suppose a collection of variables is related by the following definitions: r = a + 1; f = c + 2; d = h + 16; h = v + 18; b = x + 5; j = r + 1; c = j + 15; n = t + 12; x = 5; v = m + 20; t = x + 4; m = n + 1; a = b + 11. Given that x = 5, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"j": "x + 11", "d": "j + 15", "l": "d + 3", "b": "l + 6", "m": "b + 11", "p": "m + 4", "y": "x + 2", "q": "y + 20", "k": "q + 12", "h": "k + 1", "r": "h + 6", "u": "r + 17", "x": 20}, "premises": {"x": 20}, "target": "p"}, "answer": {"steps": [["m", "b + 11", "b + 15"], ["b", "l + 6", "l + 21"], ["l", "d + 3", "d + 24"], ["d", "j + 15", "j + 39"], ["j", "x + 11", "x + 50"], ["x", 20, "70"]], "target_var_name": "p", "target_value": 70, "value_dict": {"x": 20}, "is_reverse": true}}
| 3,539
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = r + 17; m = b + 11; l = d + 3; y = x + 2; b = l + 6; k = q + 12; h = k + 1; x = 20; r = h + 6; p = m + 4; d = j + 15; j = x + 11; q = y + 20. Given that x = 20, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = b + 11 to p, which gives p = b + 15.\n2. Substitute b = l + 6 to p, which gives p = l + 21.\n3. Substitute l = d + 3 to p, which gives p = d + 24.\n4. Substitute d = j + 15 to p, which gives p = j + 39.\n5. Substitute j = x + 11 to p, which gives p = x + 50.\n6. Substitute x = 20 to p, which gives p = 70.\n\nThus, the final answer is p = \\boxed{70}.",
"index": 3539,
"question": "Suppose a collection of variables is related by the following definitions: u = r + 17; m = b + 11; l = d + 3; y = x + 2; b = l + 6; k = q + 12; h = k + 1; x = 20; r = h + 6; p = m + 4; d = j + 15; j = x + 11; q = y + 20. Given that x = 20, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"k": "n + 10", "r": "k + 11", "v": "r + 5", "i": "v + 19", "c": "i + 4", "b": "c + 14", "t": "n + 17", "w": "t + 3", "s": "w + 9", "e": "s + 6", "p": "e + 15", "q": "p + 20", "n": 17}, "premises": {"n": 17}, "target": "b"}, "answer": {"steps": [["c", "i + 4", "i + 18"], ["i", "v + 19", "v + 37"], ["v", "r + 5", "r + 42"], ["r", "k + 11", "k + 53"], ["k", "n + 10", "n + 63"], ["n", 17, "80"]], "target_var_name": "b", "target_value": 80, "value_dict": {"n": 17}, "is_reverse": true}}
| 3,540
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = n + 10; e = s + 6; w = t + 3; r = k + 11; q = p + 20; v = r + 5; b = c + 14; c = i + 4; p = e + 15; t = n + 17; s = w + 9; n = 17; i = v + 19. If n = 17, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = i + 4 to b, which gives b = i + 18.\n2. Substitute i = v + 19 to b, which gives b = v + 37.\n3. Substitute v = r + 5 to b, which gives b = r + 42.\n4. Substitute r = k + 11 to b, which gives b = k + 53.\n5. Substitute k = n + 10 to b, which gives b = n + 63.\n6. Substitute n = 17 to b, which gives b = 80.\n\nThus, the final answer is b = \\boxed{80}.",
"index": 3540,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = n + 10; e = s + 6; w = t + 3; r = k + 11; q = p + 20; v = r + 5; b = c + 14; c = i + 4; p = e + 15; t = n + 17; s = w + 9; n = 17; i = v + 19. If n = 17, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"x": "u + 1", "p": "x + 3", "w": "p + 17", "t": "w + 7", "c": "t + 20", "l": "c + 1", "s": "u + 2", "q": "s + 9", "n": "q + 6", "y": "n + 17", "r": "y + 11", "h": "r + 14", "u": 10}, "premises": {"u": 10}, "target": "l"}, "answer": {"steps": [["c", "t + 20", "t + 21"], ["t", "w + 7", "w + 28"], ["w", "p + 17", "p + 45"], ["p", "x + 3", "x + 48"], ["x", "u + 1", "u + 49"], ["u", 10, "59"]], "target_var_name": "l", "target_value": 59, "value_dict": {"u": 10}, "is_reverse": true}}
| 3,541
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = s + 9; x = u + 1; r = y + 11; h = r + 14; c = t + 20; w = p + 17; p = x + 3; s = u + 2; n = q + 6; y = n + 17; u = 10; t = w + 7; l = c + 1. If u = 10, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = t + 20 to l, which gives l = t + 21.\n2. Substitute t = w + 7 to l, which gives l = w + 28.\n3. Substitute w = p + 17 to l, which gives l = p + 45.\n4. Substitute p = x + 3 to l, which gives l = x + 48.\n5. Substitute x = u + 1 to l, which gives l = u + 49.\n6. Substitute u = 10 to l, which gives l = 59.\n\nThus, the final answer is l = \\boxed{59}.",
"index": 3541,
"question": "Consider a system of variables where each variable is defined as follows: q = s + 9; x = u + 1; r = y + 11; h = r + 14; c = t + 20; w = p + 17; p = x + 3; s = u + 2; n = q + 6; y = n + 17; u = 10; t = w + 7; l = c + 1. If u = 10, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"l": "g + 20", "t": "l + 2", "c": "t + 4", "h": "c + 9", "a": "h + 1", "y": "a + 8", "v": "g + 4", "r": "v + 8", "o": "r + 6", "x": "o + 9", "p": "x + 14", "u": "p + 4", "g": 20}, "premises": {"g": 20}, "target": "y"}, "answer": {"steps": [["a", "h + 1", "h + 9"], ["h", "c + 9", "c + 18"], ["c", "t + 4", "t + 22"], ["t", "l + 2", "l + 24"], ["l", "g + 20", "g + 44"], ["g", 20, "64"]], "target_var_name": "y", "target_value": 64, "value_dict": {"g": 20}, "is_reverse": true}}
| 3,542
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = c + 9; r = v + 8; p = x + 14; l = g + 20; y = a + 8; t = l + 2; g = 20; x = o + 9; u = p + 4; a = h + 1; o = r + 6; v = g + 4; c = t + 4. If g = 20, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = h + 1 to y, which gives y = h + 9.\n2. Substitute h = c + 9 to y, which gives y = c + 18.\n3. Substitute c = t + 4 to y, which gives y = t + 22.\n4. Substitute t = l + 2 to y, which gives y = l + 24.\n5. Substitute l = g + 20 to y, which gives y = g + 44.\n6. Substitute g = 20 to y, which gives y = 64.\n\nThus, the final answer is y = \\boxed{64}.",
"index": 3542,
"question": "Consider a system of variables where each variable is defined as follows: h = c + 9; r = v + 8; p = x + 14; l = g + 20; y = a + 8; t = l + 2; g = 20; x = o + 9; u = p + 4; a = h + 1; o = r + 6; v = g + 4; c = t + 4. If g = 20, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"d": "g + 9", "z": "d + 4", "a": "z + 18", "n": "a + 6", "c": "n + 16", "u": "c + 19", "f": "g + 7", "i": "f + 11", "m": "i + 1", "o": "m + 20", "r": "o + 2", "p": "r + 8", "g": 14}, "premises": {"g": 14}, "target": "u"}, "answer": {"steps": [["c", "n + 16", "n + 35"], ["n", "a + 6", "a + 41"], ["a", "z + 18", "z + 59"], ["z", "d + 4", "d + 63"], ["d", "g + 9", "g + 72"], ["g", 14, "86"]], "target_var_name": "u", "target_value": 86, "value_dict": {"g": 14}, "is_reverse": true}}
| 3,543
| 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 = o + 2; z = d + 4; i = f + 11; d = g + 9; c = n + 16; n = a + 6; o = m + 20; m = i + 1; p = r + 8; f = g + 7; u = c + 19; g = 14; a = z + 18. If g = 14, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = n + 16 to u, which gives u = n + 35.\n2. Substitute n = a + 6 to u, which gives u = a + 41.\n3. Substitute a = z + 18 to u, which gives u = z + 59.\n4. Substitute z = d + 4 to u, which gives u = d + 63.\n5. Substitute d = g + 9 to u, which gives u = g + 72.\n6. Substitute g = 14 to u, which gives u = 86.\n\nThus, the final answer is u = \\boxed{86}.",
"index": 3543,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = o + 2; z = d + 4; i = f + 11; d = g + 9; c = n + 16; n = a + 6; o = m + 20; m = i + 1; p = r + 8; f = g + 7; u = c + 19; g = 14; a = z + 18. If g = 14, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"w": "i + 1", "h": "w + 20", "k": "h + 2", "b": "k + 18", "u": "b + 10", "t": "u + 20", "c": "i + 17", "o": "c + 15", "a": "o + 1", "s": "a + 20", "m": "s + 16", "l": "m + 14", "i": 18}, "premises": {"i": 18}, "target": "t"}, "answer": {"steps": [["u", "b + 10", "b + 30"], ["b", "k + 18", "k + 48"], ["k", "h + 2", "h + 50"], ["h", "w + 20", "w + 70"], ["w", "i + 1", "i + 71"], ["i", 18, "89"]], "target_var_name": "t", "target_value": 89, "value_dict": {"i": 18}, "is_reverse": true}}
| 3,544
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = b + 10; a = o + 1; s = a + 20; b = k + 18; o = c + 15; m = s + 16; t = u + 20; w = i + 1; c = i + 17; l = m + 14; k = h + 2; i = 18; h = w + 20. If i = 18, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = b + 10 to t, which gives t = b + 30.\n2. Substitute b = k + 18 to t, which gives t = k + 48.\n3. Substitute k = h + 2 to t, which gives t = h + 50.\n4. Substitute h = w + 20 to t, which gives t = w + 70.\n5. Substitute w = i + 1 to t, which gives t = i + 71.\n6. Substitute i = 18 to t, which gives t = 89.\n\nThus, the final answer is t = \\boxed{89}.",
"index": 3544,
"question": "Consider a system of variables where each variable is defined as follows: u = b + 10; a = o + 1; s = a + 20; b = k + 18; o = c + 15; m = s + 16; t = u + 20; w = i + 1; c = i + 17; l = m + 14; k = h + 2; i = 18; h = w + 20. If i = 18, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"i": "v + 18", "y": "i + 13", "k": "y + 9", "b": "k + 18", "f": "b + 15", "n": "f + 14", "c": "v + 7", "g": "c + 9", "j": "g + 8", "m": "j + 3", "p": "m + 9", "o": "p + 4", "v": 2}, "premises": {"v": 2}, "target": "n"}, "answer": {"steps": [["f", "b + 15", "b + 29"], ["b", "k + 18", "k + 47"], ["k", "y + 9", "y + 56"], ["y", "i + 13", "i + 69"], ["i", "v + 18", "v + 87"], ["v", 2, "89"]], "target_var_name": "n", "target_value": 89, "value_dict": {"v": 2}, "is_reverse": true}}
| 3,545
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = g + 8; f = b + 15; v = 2; c = v + 7; y = i + 13; i = v + 18; o = p + 4; k = y + 9; m = j + 3; g = c + 9; b = k + 18; p = m + 9; n = f + 14. Given that v = 2, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = b + 15 to n, which gives n = b + 29.\n2. Substitute b = k + 18 to n, which gives n = k + 47.\n3. Substitute k = y + 9 to n, which gives n = y + 56.\n4. Substitute y = i + 13 to n, which gives n = i + 69.\n5. Substitute i = v + 18 to n, which gives n = v + 87.\n6. Substitute v = 2 to n, which gives n = 89.\n\nThus, the final answer is n = \\boxed{89}.",
"index": 3545,
"question": "Suppose a collection of variables is related by the following definitions: j = g + 8; f = b + 15; v = 2; c = v + 7; y = i + 13; i = v + 18; o = p + 4; k = y + 9; m = j + 3; g = c + 9; b = k + 18; p = m + 9; n = f + 14. Given that v = 2, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"h": "t + 1", "z": "h + 3", "o": "z + 6", "q": "o + 18", "w": "q + 19", "b": "w + 15", "x": "t + 9", "f": "x + 6", "c": "f + 14", "v": "c + 2", "g": "v + 9", "p": "g + 20", "t": 4}, "premises": {"t": 4}, "target": "b"}, "answer": {"steps": [["w", "q + 19", "q + 34"], ["q", "o + 18", "o + 52"], ["o", "z + 6", "z + 58"], ["z", "h + 3", "h + 61"], ["h", "t + 1", "t + 62"], ["t", 4, "66"]], "target_var_name": "b", "target_value": 66, "value_dict": {"t": 4}, "is_reverse": true}}
| 3,546
| 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 = x + 6; x = t + 9; o = z + 6; c = f + 14; q = o + 18; b = w + 15; v = c + 2; g = v + 9; h = t + 1; p = g + 20; z = h + 3; w = q + 19; t = 4. If t = 4, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = q + 19 to b, which gives b = q + 34.\n2. Substitute q = o + 18 to b, which gives b = o + 52.\n3. Substitute o = z + 6 to b, which gives b = z + 58.\n4. Substitute z = h + 3 to b, which gives b = h + 61.\n5. Substitute h = t + 1 to b, which gives b = t + 62.\n6. Substitute t = 4 to b, which gives b = 66.\n\nThus, the final answer is b = \\boxed{66}.",
"index": 3546,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = x + 6; x = t + 9; o = z + 6; c = f + 14; q = o + 18; b = w + 15; v = c + 2; g = v + 9; h = t + 1; p = g + 20; z = h + 3; w = q + 19; t = 4. If t = 4, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"e": "f + 7", "t": "e + 7", "u": "t + 12", "m": "u + 5", "p": "m + 17", "h": "p + 5", "o": "f + 20", "g": "o + 9", "d": "g + 7", "v": "d + 13", "s": "v + 15", "c": "s + 13", "f": 6}, "premises": {"f": 6}, "target": "h"}, "answer": {"steps": [["p", "m + 17", "m + 22"], ["m", "u + 5", "u + 27"], ["u", "t + 12", "t + 39"], ["t", "e + 7", "e + 46"], ["e", "f + 7", "f + 53"], ["f", 6, "59"]], "target_var_name": "h", "target_value": 59, "value_dict": {"f": 6}, "is_reverse": true}}
| 3,547
| 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 = f + 7; g = o + 9; m = u + 5; c = s + 13; d = g + 7; f = 6; u = t + 12; s = v + 15; t = e + 7; p = m + 17; o = f + 20; h = p + 5; v = d + 13. If f = 6, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = m + 17 to h, which gives h = m + 22.\n2. Substitute m = u + 5 to h, which gives h = u + 27.\n3. Substitute u = t + 12 to h, which gives h = t + 39.\n4. Substitute t = e + 7 to h, which gives h = e + 46.\n5. Substitute e = f + 7 to h, which gives h = f + 53.\n6. Substitute f = 6 to h, which gives h = 59.\n\nThus, the final answer is h = \\boxed{59}.",
"index": 3547,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = f + 7; g = o + 9; m = u + 5; c = s + 13; d = g + 7; f = 6; u = t + 12; s = v + 15; t = e + 7; p = m + 17; o = f + 20; h = p + 5; v = d + 13. If f = 6, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"l": "x + 13", "u": "l + 12", "h": "u + 15", "s": "h + 9", "w": "s + 15", "r": "w + 12", "i": "x + 7", "m": "i + 17", "c": "m + 16", "o": "c + 1", "z": "o + 20", "g": "z + 5", "x": 9}, "premises": {"x": 9}, "target": "r"}, "answer": {"steps": [["w", "s + 15", "s + 27"], ["s", "h + 9", "h + 36"], ["h", "u + 15", "u + 51"], ["u", "l + 12", "l + 63"], ["l", "x + 13", "x + 76"], ["x", 9, "85"]], "target_var_name": "r", "target_value": 85, "value_dict": {"x": 9}, "is_reverse": true}}
| 3,548
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = z + 5; h = u + 15; i = x + 7; z = o + 20; u = l + 12; m = i + 17; w = s + 15; o = c + 1; x = 9; l = x + 13; r = w + 12; c = m + 16; s = h + 9. If x = 9, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = s + 15 to r, which gives r = s + 27.\n2. Substitute s = h + 9 to r, which gives r = h + 36.\n3. Substitute h = u + 15 to r, which gives r = u + 51.\n4. Substitute u = l + 12 to r, which gives r = l + 63.\n5. Substitute l = x + 13 to r, which gives r = x + 76.\n6. Substitute x = 9 to r, which gives r = 85.\n\nThus, the final answer is r = \\boxed{85}.",
"index": 3548,
"question": "Consider a system of variables where each variable is defined as follows: g = z + 5; h = u + 15; i = x + 7; z = o + 20; u = l + 12; m = i + 17; w = s + 15; o = c + 1; x = 9; l = x + 13; r = w + 12; c = m + 16; s = h + 9. If x = 9, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"g": "b + 5", "m": "g + 19", "w": "m + 3", "t": "w + 11", "n": "t + 11", "v": "n + 3", "h": "b + 12", "r": "h + 1", "x": "r + 17", "y": "x + 15", "q": "y + 15", "f": "q + 13", "b": 1}, "premises": {"b": 1}, "target": "v"}, "answer": {"steps": [["n", "t + 11", "t + 14"], ["t", "w + 11", "w + 25"], ["w", "m + 3", "m + 28"], ["m", "g + 19", "g + 47"], ["g", "b + 5", "b + 52"], ["b", 1, "53"]], "target_var_name": "v", "target_value": 53, "value_dict": {"b": 1}, "is_reverse": true}}
| 3,549
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = m + 3; v = n + 3; f = q + 13; n = t + 11; h = b + 12; x = r + 17; q = y + 15; y = x + 15; b = 1; r = h + 1; t = w + 11; g = b + 5; m = g + 19. If b = 1, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = t + 11 to v, which gives v = t + 14.\n2. Substitute t = w + 11 to v, which gives v = w + 25.\n3. Substitute w = m + 3 to v, which gives v = m + 28.\n4. Substitute m = g + 19 to v, which gives v = g + 47.\n5. Substitute g = b + 5 to v, which gives v = b + 52.\n6. Substitute b = 1 to v, which gives v = 53.\n\nThus, the final answer is v = \\boxed{53}.",
"index": 3549,
"question": "Consider a system of variables where each variable is defined as follows: w = m + 3; v = n + 3; f = q + 13; n = t + 11; h = b + 12; x = r + 17; q = y + 15; y = x + 15; b = 1; r = h + 1; t = w + 11; g = b + 5; m = g + 19. If b = 1, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"k": "r + 8", "p": "k + 6", "g": "p + 6", "q": "g + 18", "e": "q + 12", "f": "e + 6", "t": "r + 9", "u": "t + 2", "w": "u + 14", "y": "w + 18", "o": "y + 3", "s": "o + 20", "r": 20}, "premises": {"r": 20}, "target": "f"}, "answer": {"steps": [["e", "q + 12", "q + 18"], ["q", "g + 18", "g + 36"], ["g", "p + 6", "p + 42"], ["p", "k + 6", "k + 48"], ["k", "r + 8", "r + 56"], ["r", 20, "76"]], "target_var_name": "f", "target_value": 76, "value_dict": {"r": 20}, "is_reverse": true}}
| 3,550
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = y + 3; q = g + 18; y = w + 18; k = r + 8; t = r + 9; g = p + 6; u = t + 2; p = k + 6; w = u + 14; r = 20; e = q + 12; f = e + 6; s = o + 20. If r = 20, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = q + 12 to f, which gives f = q + 18.\n2. Substitute q = g + 18 to f, which gives f = g + 36.\n3. Substitute g = p + 6 to f, which gives f = p + 42.\n4. Substitute p = k + 6 to f, which gives f = k + 48.\n5. Substitute k = r + 8 to f, which gives f = r + 56.\n6. Substitute r = 20 to f, which gives f = 76.\n\nThus, the final answer is f = \\boxed{76}.",
"index": 3550,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = y + 3; q = g + 18; y = w + 18; k = r + 8; t = r + 9; g = p + 6; u = t + 2; p = k + 6; w = u + 14; r = 20; e = q + 12; f = e + 6; s = o + 20. If r = 20, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"w": "n + 9", "k": "w + 19", "f": "k + 1", "i": "f + 18", "s": "i + 12", "m": "s + 7", "q": "n + 9", "g": "q + 17", "b": "g + 3", "u": "b + 4", "r": "u + 16", "e": "r + 12", "n": 2}, "premises": {"n": 2}, "target": "m"}, "answer": {"steps": [["s", "i + 12", "i + 19"], ["i", "f + 18", "f + 37"], ["f", "k + 1", "k + 38"], ["k", "w + 19", "w + 57"], ["w", "n + 9", "n + 66"], ["n", 2, "68"]], "target_var_name": "m", "target_value": 68, "value_dict": {"n": 2}, "is_reverse": true}}
| 3,551
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = n + 9; e = r + 12; k = w + 19; s = i + 12; g = q + 17; b = g + 3; m = s + 7; f = k + 1; i = f + 18; w = n + 9; u = b + 4; n = 2; r = u + 16. If n = 2, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = i + 12 to m, which gives m = i + 19.\n2. Substitute i = f + 18 to m, which gives m = f + 37.\n3. Substitute f = k + 1 to m, which gives m = k + 38.\n4. Substitute k = w + 19 to m, which gives m = w + 57.\n5. Substitute w = n + 9 to m, which gives m = n + 66.\n6. Substitute n = 2 to m, which gives m = 68.\n\nThus, the final answer is m = \\boxed{68}.",
"index": 3551,
"question": "Consider a system of variables where each variable is defined as follows: q = n + 9; e = r + 12; k = w + 19; s = i + 12; g = q + 17; b = g + 3; m = s + 7; f = k + 1; i = f + 18; w = n + 9; u = b + 4; n = 2; r = u + 16. If n = 2, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"o": "t + 2", "h": "o + 11", "j": "h + 18", "v": "j + 12", "a": "v + 14", "i": "a + 3", "g": "t + 1", "u": "g + 2", "b": "u + 14", "s": "b + 5", "d": "s + 12", "c": "d + 18", "t": 7}, "premises": {"t": 7}, "target": "i"}, "answer": {"steps": [["a", "v + 14", "v + 17"], ["v", "j + 12", "j + 29"], ["j", "h + 18", "h + 47"], ["h", "o + 11", "o + 58"], ["o", "t + 2", "t + 60"], ["t", 7, "67"]], "target_var_name": "i", "target_value": 67, "value_dict": {"t": 7}, "is_reverse": true}}
| 3,552
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = g + 2; c = d + 18; g = t + 1; s = b + 5; o = t + 2; b = u + 14; j = h + 18; v = j + 12; d = s + 12; a = v + 14; i = a + 3; h = o + 11; t = 7. If t = 7, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = v + 14 to i, which gives i = v + 17.\n2. Substitute v = j + 12 to i, which gives i = j + 29.\n3. Substitute j = h + 18 to i, which gives i = h + 47.\n4. Substitute h = o + 11 to i, which gives i = o + 58.\n5. Substitute o = t + 2 to i, which gives i = t + 60.\n6. Substitute t = 7 to i, which gives i = 67.\n\nThus, the final answer is i = \\boxed{67}.",
"index": 3552,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = g + 2; c = d + 18; g = t + 1; s = b + 5; o = t + 2; b = u + 14; j = h + 18; v = j + 12; d = s + 12; a = v + 14; i = a + 3; h = o + 11; t = 7. If t = 7, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"z": "v + 20", "b": "z + 13", "k": "b + 4", "i": "k + 19", "e": "i + 12", "p": "e + 19", "n": "v + 16", "h": "n + 20", "u": "h + 4", "x": "u + 9", "m": "x + 11", "g": "m + 18", "v": 12}, "premises": {"v": 12}, "target": "p"}, "answer": {"steps": [["e", "i + 12", "i + 31"], ["i", "k + 19", "k + 50"], ["k", "b + 4", "b + 54"], ["b", "z + 13", "z + 67"], ["z", "v + 20", "v + 87"], ["v", 12, "99"]], "target_var_name": "p", "target_value": 99, "value_dict": {"v": 12}, "is_reverse": true}}
| 3,553
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = u + 9; n = v + 16; b = z + 13; k = b + 4; p = e + 19; u = h + 4; h = n + 20; m = x + 11; z = v + 20; e = i + 12; v = 12; i = k + 19; g = m + 18. Given that v = 12, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 99,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = i + 12 to p, which gives p = i + 31.\n2. Substitute i = k + 19 to p, which gives p = k + 50.\n3. Substitute k = b + 4 to p, which gives p = b + 54.\n4. Substitute b = z + 13 to p, which gives p = z + 67.\n5. Substitute z = v + 20 to p, which gives p = v + 87.\n6. Substitute v = 12 to p, which gives p = 99.\n\nThus, the final answer is p = \\boxed{99}.",
"index": 3553,
"question": "Suppose a collection of variables is related by the following definitions: x = u + 9; n = v + 16; b = z + 13; k = b + 4; p = e + 19; u = h + 4; h = n + 20; m = x + 11; z = v + 20; e = i + 12; v = 12; i = k + 19; g = m + 18. Given that v = 12, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"e": "u + 10", "k": "e + 12", "v": "k + 20", "z": "v + 2", "h": "z + 20", "j": "h + 16", "s": "u + 15", "d": "s + 10", "r": "d + 17", "t": "r + 10", "n": "t + 17", "x": "n + 17", "u": 2}, "premises": {"u": 2}, "target": "j"}, "answer": {"steps": [["h", "z + 20", "z + 36"], ["z", "v + 2", "v + 38"], ["v", "k + 20", "k + 58"], ["k", "e + 12", "e + 70"], ["e", "u + 10", "u + 80"], ["u", 2, "82"]], "target_var_name": "j", "target_value": 82, "value_dict": {"u": 2}, "is_reverse": true}}
| 3,554
| 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 = k + 20; k = e + 12; e = u + 10; t = r + 10; j = h + 16; d = s + 10; h = z + 20; z = v + 2; u = 2; x = n + 17; s = u + 15; n = t + 17; r = d + 17. If u = 2, 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 h = z + 20 to j, which gives j = z + 36.\n2. Substitute z = v + 2 to j, which gives j = v + 38.\n3. Substitute v = k + 20 to j, which gives j = k + 58.\n4. Substitute k = e + 12 to j, which gives j = e + 70.\n5. Substitute e = u + 10 to j, which gives j = u + 80.\n6. Substitute u = 2 to j, which gives j = 82.\n\nThus, the final answer is j = \\boxed{82}.",
"index": 3554,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = k + 20; k = e + 12; e = u + 10; t = r + 10; j = h + 16; d = s + 10; h = z + 20; z = v + 2; u = 2; x = n + 17; s = u + 15; n = t + 17; r = d + 17. If u = 2, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"c": "p + 18", "y": "c + 14", "i": "y + 1", "x": "i + 16", "u": "x + 14", "g": "u + 15", "m": "p + 1", "o": "m + 14", "z": "o + 19", "a": "z + 5", "e": "a + 12", "k": "e + 19", "p": 6}, "premises": {"p": 6}, "target": "g"}, "answer": {"steps": [["u", "x + 14", "x + 29"], ["x", "i + 16", "i + 45"], ["i", "y + 1", "y + 46"], ["y", "c + 14", "c + 60"], ["c", "p + 18", "p + 78"], ["p", 6, "84"]], "target_var_name": "g", "target_value": 84, "value_dict": {"p": 6}, "is_reverse": true}}
| 3,555
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = y + 1; x = i + 16; o = m + 14; u = x + 14; g = u + 15; z = o + 19; e = a + 12; a = z + 5; c = p + 18; k = e + 19; y = c + 14; m = p + 1; p = 6. If p = 6, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = x + 14 to g, which gives g = x + 29.\n2. Substitute x = i + 16 to g, which gives g = i + 45.\n3. Substitute i = y + 1 to g, which gives g = y + 46.\n4. Substitute y = c + 14 to g, which gives g = c + 60.\n5. Substitute c = p + 18 to g, which gives g = p + 78.\n6. Substitute p = 6 to g, which gives g = 84.\n\nThus, the final answer is g = \\boxed{84}.",
"index": 3555,
"question": "Consider a system of variables where each variable is defined as follows: i = y + 1; x = i + 16; o = m + 14; u = x + 14; g = u + 15; z = o + 19; e = a + 12; a = z + 5; c = p + 18; k = e + 19; y = c + 14; m = p + 1; p = 6. If p = 6, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"z": "g + 17", "i": "z + 14", "a": "i + 8", "s": "a + 4", "r": "s + 1", "e": "r + 17", "u": "g + 15", "k": "u + 17", "o": "k + 1", "x": "o + 4", "j": "x + 14", "w": "j + 20", "g": 9}, "premises": {"g": 9}, "target": "e"}, "answer": {"steps": [["r", "s + 1", "s + 18"], ["s", "a + 4", "a + 22"], ["a", "i + 8", "i + 30"], ["i", "z + 14", "z + 44"], ["z", "g + 17", "g + 61"], ["g", 9, "70"]], "target_var_name": "e", "target_value": 70, "value_dict": {"g": 9}, "is_reverse": true}}
| 3,556
| 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 = z + 14; e = r + 17; s = a + 4; j = x + 14; x = o + 4; u = g + 15; g = 9; w = j + 20; a = i + 8; o = k + 1; k = u + 17; z = g + 17; r = s + 1. If g = 9, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = s + 1 to e, which gives e = s + 18.\n2. Substitute s = a + 4 to e, which gives e = a + 22.\n3. Substitute a = i + 8 to e, which gives e = i + 30.\n4. Substitute i = z + 14 to e, which gives e = z + 44.\n5. Substitute z = g + 17 to e, which gives e = g + 61.\n6. Substitute g = 9 to e, which gives e = 70.\n\nThus, the final answer is e = \\boxed{70}.",
"index": 3556,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = z + 14; e = r + 17; s = a + 4; j = x + 14; x = o + 4; u = g + 15; g = 9; w = j + 20; a = i + 8; o = k + 1; k = u + 17; z = g + 17; r = s + 1. If g = 9, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"n": "l + 10", "d": "n + 12", "x": "d + 17", "c": "x + 7", "y": "c + 7", "s": "y + 16", "m": "l + 20", "h": "m + 5", "j": "h + 18", "f": "j + 3", "t": "f + 3", "a": "t + 15", "l": 13}, "premises": {"l": 13}, "target": "s"}, "answer": {"steps": [["y", "c + 7", "c + 23"], ["c", "x + 7", "x + 30"], ["x", "d + 17", "d + 47"], ["d", "n + 12", "n + 59"], ["n", "l + 10", "l + 69"], ["l", 13, "82"]], "target_var_name": "s", "target_value": 82, "value_dict": {"l": 13}, "is_reverse": true}}
| 3,557
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = l + 10; l = 13; f = j + 3; j = h + 18; m = l + 20; t = f + 3; h = m + 5; a = t + 15; s = y + 16; y = c + 7; c = x + 7; d = n + 12; x = d + 17. If l = 13, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = c + 7 to s, which gives s = c + 23.\n2. Substitute c = x + 7 to s, which gives s = x + 30.\n3. Substitute x = d + 17 to s, which gives s = d + 47.\n4. Substitute d = n + 12 to s, which gives s = n + 59.\n5. Substitute n = l + 10 to s, which gives s = l + 69.\n6. Substitute l = 13 to s, which gives s = 82.\n\nThus, the final answer is s = \\boxed{82}.",
"index": 3557,
"question": "Consider a system of variables where each variable is defined as follows: n = l + 10; l = 13; f = j + 3; j = h + 18; m = l + 20; t = f + 3; h = m + 5; a = t + 15; s = y + 16; y = c + 7; c = x + 7; d = n + 12; x = d + 17. If l = 13, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"d": "i + 1", "z": "d + 8", "e": "z + 8", "r": "e + 18", "a": "r + 14", "u": "a + 6", "o": "i + 6", "c": "o + 9", "h": "c + 18", "t": "h + 13", "f": "t + 6", "p": "f + 2", "i": 10}, "premises": {"i": 10}, "target": "u"}, "answer": {"steps": [["a", "r + 14", "r + 20"], ["r", "e + 18", "e + 38"], ["e", "z + 8", "z + 46"], ["z", "d + 8", "d + 54"], ["d", "i + 1", "i + 55"], ["i", 10, "65"]], "target_var_name": "u", "target_value": 65, "value_dict": {"i": 10}, "is_reverse": true}}
| 3,558
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = a + 6; h = c + 18; r = e + 18; i = 10; e = z + 8; f = t + 6; c = o + 9; p = f + 2; d = i + 1; a = r + 14; z = d + 8; t = h + 13; o = i + 6. If i = 10, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = r + 14 to u, which gives u = r + 20.\n2. Substitute r = e + 18 to u, which gives u = e + 38.\n3. Substitute e = z + 8 to u, which gives u = z + 46.\n4. Substitute z = d + 8 to u, which gives u = d + 54.\n5. Substitute d = i + 1 to u, which gives u = i + 55.\n6. Substitute i = 10 to u, which gives u = 65.\n\nThus, the final answer is u = \\boxed{65}.",
"index": 3558,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = a + 6; h = c + 18; r = e + 18; i = 10; e = z + 8; f = t + 6; c = o + 9; p = f + 2; d = i + 1; a = r + 14; z = d + 8; t = h + 13; o = i + 6. If i = 10, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"c": "v + 20", "o": "c + 20", "p": "o + 6", "l": "p + 7", "q": "l + 8", "t": "q + 20", "k": "v + 18", "s": "k + 10", "n": "s + 4", "x": "n + 7", "b": "x + 3", "e": "b + 9", "v": 19}, "premises": {"v": 19}, "target": "t"}, "answer": {"steps": [["q", "l + 8", "l + 28"], ["l", "p + 7", "p + 35"], ["p", "o + 6", "o + 41"], ["o", "c + 20", "c + 61"], ["c", "v + 20", "v + 81"], ["v", 19, "100"]], "target_var_name": "t", "target_value": 100, "value_dict": {"v": 19}, "is_reverse": true}}
| 3,559
| 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 = l + 8; x = n + 7; t = q + 20; o = c + 20; s = k + 10; k = v + 18; l = p + 7; e = b + 9; v = 19; c = v + 20; p = o + 6; n = s + 4; b = x + 3. If v = 19, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 100,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = l + 8 to t, which gives t = l + 28.\n2. Substitute l = p + 7 to t, which gives t = p + 35.\n3. Substitute p = o + 6 to t, which gives t = o + 41.\n4. Substitute o = c + 20 to t, which gives t = c + 61.\n5. Substitute c = v + 20 to t, which gives t = v + 81.\n6. Substitute v = 19 to t, which gives t = 100.\n\nThus, the final answer is t = \\boxed{100}.",
"index": 3559,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = l + 8; x = n + 7; t = q + 20; o = c + 20; s = k + 10; k = v + 18; l = p + 7; e = b + 9; v = 19; c = v + 20; p = o + 6; n = s + 4; b = x + 3. If v = 19, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"w": "h + 16", "m": "w + 1", "v": "m + 1", "g": "v + 1", "j": "g + 3", "r": "j + 3", "f": "h + 17", "y": "f + 9", "n": "y + 1", "o": "n + 2", "i": "o + 10", "t": "i + 9", "h": 19}, "premises": {"h": 19}, "target": "r"}, "answer": {"steps": [["j", "g + 3", "g + 6"], ["g", "v + 1", "v + 7"], ["v", "m + 1", "m + 8"], ["m", "w + 1", "w + 9"], ["w", "h + 16", "h + 25"], ["h", 19, "44"]], "target_var_name": "r", "target_value": 44, "value_dict": {"h": 19}, "is_reverse": true}}
| 3,560
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = w + 1; r = j + 3; n = y + 1; j = g + 3; g = v + 1; v = m + 1; i = o + 10; h = 19; w = h + 16; f = h + 17; o = n + 2; t = i + 9; y = f + 9. Given that h = 19, 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 j = g + 3 to r, which gives r = g + 6.\n2. Substitute g = v + 1 to r, which gives r = v + 7.\n3. Substitute v = m + 1 to r, which gives r = m + 8.\n4. Substitute m = w + 1 to r, which gives r = w + 9.\n5. Substitute w = h + 16 to r, which gives r = h + 25.\n6. Substitute h = 19 to r, which gives r = 44.\n\nThus, the final answer is r = \\boxed{44}.",
"index": 3560,
"question": "Suppose a collection of variables is related by the following definitions: m = w + 1; r = j + 3; n = y + 1; j = g + 3; g = v + 1; v = m + 1; i = o + 10; h = 19; w = h + 16; f = h + 17; o = n + 2; t = i + 9; y = f + 9. Given that h = 19, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"i": "h + 6", "u": "i + 4", "r": "u + 20", "o": "r + 1", "e": "o + 7", "k": "e + 3", "z": "h + 5", "m": "z + 6", "t": "m + 8", "x": "t + 17", "n": "x + 8", "g": "n + 11", "h": 3}, "premises": {"h": 3}, "target": "k"}, "answer": {"steps": [["e", "o + 7", "o + 10"], ["o", "r + 1", "r + 11"], ["r", "u + 20", "u + 31"], ["u", "i + 4", "i + 35"], ["i", "h + 6", "h + 41"], ["h", 3, "44"]], "target_var_name": "k", "target_value": 44, "value_dict": {"h": 3}, "is_reverse": true}}
| 3,561
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = u + 20; z = h + 5; x = t + 17; g = n + 11; i = h + 6; k = e + 3; o = r + 1; u = i + 4; h = 3; m = z + 6; n = x + 8; t = m + 8; e = o + 7. If h = 3, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 44,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = o + 7 to k, which gives k = o + 10.\n2. Substitute o = r + 1 to k, which gives k = r + 11.\n3. Substitute r = u + 20 to k, which gives k = u + 31.\n4. Substitute u = i + 4 to k, which gives k = i + 35.\n5. Substitute i = h + 6 to k, which gives k = h + 41.\n6. Substitute h = 3 to k, which gives k = 44.\n\nThus, the final answer is k = \\boxed{44}.",
"index": 3561,
"question": "Consider a system of variables where each variable is defined as follows: r = u + 20; z = h + 5; x = t + 17; g = n + 11; i = h + 6; k = e + 3; o = r + 1; u = i + 4; h = 3; m = z + 6; n = x + 8; t = m + 8; e = o + 7. If h = 3, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"g": "b + 20", "e": "g + 15", "s": "e + 12", "d": "s + 19", "q": "d + 17", "n": "q + 3", "z": "b + 9", "f": "z + 3", "c": "f + 9", "o": "c + 10", "i": "o + 16", "m": "i + 14", "b": 1}, "premises": {"b": 1}, "target": "n"}, "answer": {"steps": [["q", "d + 17", "d + 20"], ["d", "s + 19", "s + 39"], ["s", "e + 12", "e + 51"], ["e", "g + 15", "g + 66"], ["g", "b + 20", "b + 86"], ["b", 1, "87"]], "target_var_name": "n", "target_value": 87, "value_dict": {"b": 1}, "is_reverse": true}}
| 3,562
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = b + 9; i = o + 16; e = g + 15; g = b + 20; d = s + 19; f = z + 3; m = i + 14; o = c + 10; s = e + 12; n = q + 3; q = d + 17; c = f + 9; b = 1. If b = 1, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = d + 17 to n, which gives n = d + 20.\n2. Substitute d = s + 19 to n, which gives n = s + 39.\n3. Substitute s = e + 12 to n, which gives n = e + 51.\n4. Substitute e = g + 15 to n, which gives n = g + 66.\n5. Substitute g = b + 20 to n, which gives n = b + 86.\n6. Substitute b = 1 to n, which gives n = 87.\n\nThus, the final answer is n = \\boxed{87}.",
"index": 3562,
"question": "Consider a system of variables where each variable is defined as follows: z = b + 9; i = o + 16; e = g + 15; g = b + 20; d = s + 19; f = z + 3; m = i + 14; o = c + 10; s = e + 12; n = q + 3; q = d + 17; c = f + 9; b = 1. If b = 1, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"y": "f + 16", "j": "y + 13", "g": "j + 13", "t": "g + 18", "p": "t + 2", "b": "p + 14", "q": "f + 11", "u": "q + 20", "x": "u + 20", "r": "x + 1", "c": "r + 12", "m": "c + 18", "f": 2}, "premises": {"f": 2}, "target": "b"}, "answer": {"steps": [["p", "t + 2", "t + 16"], ["t", "g + 18", "g + 34"], ["g", "j + 13", "j + 47"], ["j", "y + 13", "y + 60"], ["y", "f + 16", "f + 76"], ["f", 2, "78"]], "target_var_name": "b", "target_value": 78, "value_dict": {"f": 2}, "is_reverse": true}}
| 3,563
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = g + 18; g = j + 13; r = x + 1; p = t + 2; q = f + 11; m = c + 18; u = q + 20; b = p + 14; f = 2; c = r + 12; j = y + 13; y = f + 16; x = u + 20. If f = 2, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = t + 2 to b, which gives b = t + 16.\n2. Substitute t = g + 18 to b, which gives b = g + 34.\n3. Substitute g = j + 13 to b, which gives b = j + 47.\n4. Substitute j = y + 13 to b, which gives b = y + 60.\n5. Substitute y = f + 16 to b, which gives b = f + 76.\n6. Substitute f = 2 to b, which gives b = 78.\n\nThus, the final answer is b = \\boxed{78}.",
"index": 3563,
"question": "Consider a system of variables where each variable is defined as follows: t = g + 18; g = j + 13; r = x + 1; p = t + 2; q = f + 11; m = c + 18; u = q + 20; b = p + 14; f = 2; c = r + 12; j = y + 13; y = f + 16; x = u + 20. If f = 2, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"w": "b + 7", "h": "w + 16", "y": "h + 12", "r": "y + 4", "p": "r + 13", "i": "p + 20", "u": "b + 10", "g": "u + 13", "s": "g + 4", "d": "s + 7", "z": "d + 10", "x": "z + 16", "b": 19}, "premises": {"b": 19}, "target": "i"}, "answer": {"steps": [["p", "r + 13", "r + 33"], ["r", "y + 4", "y + 37"], ["y", "h + 12", "h + 49"], ["h", "w + 16", "w + 65"], ["w", "b + 7", "b + 72"], ["b", 19, "91"]], "target_var_name": "i", "target_value": 91, "value_dict": {"b": 19}, "is_reverse": true}}
| 3,564
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = b + 7; y = h + 12; s = g + 4; r = y + 4; u = b + 10; i = p + 20; b = 19; h = w + 16; d = s + 7; p = r + 13; g = u + 13; x = z + 16; z = d + 10. Given that b = 19, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = r + 13 to i, which gives i = r + 33.\n2. Substitute r = y + 4 to i, which gives i = y + 37.\n3. Substitute y = h + 12 to i, which gives i = h + 49.\n4. Substitute h = w + 16 to i, which gives i = w + 65.\n5. Substitute w = b + 7 to i, which gives i = b + 72.\n6. Substitute b = 19 to i, which gives i = 91.\n\nThus, the final answer is i = \\boxed{91}.",
"index": 3564,
"question": "Suppose a collection of variables is related by the following definitions: w = b + 7; y = h + 12; s = g + 4; r = y + 4; u = b + 10; i = p + 20; b = 19; h = w + 16; d = s + 7; p = r + 13; g = u + 13; x = z + 16; z = d + 10. Given that b = 19, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"e": "m + 13", "b": "e + 10", "i": "b + 15", "u": "i + 7", "h": "u + 3", "t": "h + 3", "d": "m + 12", "z": "d + 2", "y": "z + 7", "l": "y + 13", "r": "l + 18", "q": "r + 13", "m": 12}, "premises": {"m": 12}, "target": "t"}, "answer": {"steps": [["h", "u + 3", "u + 6"], ["u", "i + 7", "i + 13"], ["i", "b + 15", "b + 28"], ["b", "e + 10", "e + 38"], ["e", "m + 13", "m + 51"], ["m", 12, "63"]], "target_var_name": "t", "target_value": 63, "value_dict": {"m": 12}, "is_reverse": true}}
| 3,565
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = i + 7; z = d + 2; m = 12; d = m + 12; q = r + 13; l = y + 13; e = m + 13; i = b + 15; h = u + 3; t = h + 3; y = z + 7; r = l + 18; b = e + 10. Given that m = 12, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = u + 3 to t, which gives t = u + 6.\n2. Substitute u = i + 7 to t, which gives t = i + 13.\n3. Substitute i = b + 15 to t, which gives t = b + 28.\n4. Substitute b = e + 10 to t, which gives t = e + 38.\n5. Substitute e = m + 13 to t, which gives t = m + 51.\n6. Substitute m = 12 to t, which gives t = 63.\n\nThus, the final answer is t = \\boxed{63}.",
"index": 3565,
"question": "Suppose a collection of variables is related by the following definitions: u = i + 7; z = d + 2; m = 12; d = m + 12; q = r + 13; l = y + 13; e = m + 13; i = b + 15; h = u + 3; t = h + 3; y = z + 7; r = l + 18; b = e + 10. Given that m = 12, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"t": "q + 19", "e": "t + 13", "a": "e + 9", "w": "a + 7", "m": "w + 5", "c": "m + 19", "o": "q + 14", "d": "o + 6", "p": "d + 19", "h": "p + 2", "r": "h + 20", "v": "r + 17", "q": 10}, "premises": {"q": 10}, "target": "c"}, "answer": {"steps": [["m", "w + 5", "w + 24"], ["w", "a + 7", "a + 31"], ["a", "e + 9", "e + 40"], ["e", "t + 13", "t + 53"], ["t", "q + 19", "q + 72"], ["q", 10, "82"]], "target_var_name": "c", "target_value": 82, "value_dict": {"q": 10}, "is_reverse": true}}
| 3,566
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = e + 9; o = q + 14; w = a + 7; d = o + 6; v = r + 17; t = q + 19; c = m + 19; h = p + 2; q = 10; e = t + 13; p = d + 19; m = w + 5; r = h + 20. Given that q = 10, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = w + 5 to c, which gives c = w + 24.\n2. Substitute w = a + 7 to c, which gives c = a + 31.\n3. Substitute a = e + 9 to c, which gives c = e + 40.\n4. Substitute e = t + 13 to c, which gives c = t + 53.\n5. Substitute t = q + 19 to c, which gives c = q + 72.\n6. Substitute q = 10 to c, which gives c = 82.\n\nThus, the final answer is c = \\boxed{82}.",
"index": 3566,
"question": "Suppose a collection of variables is related by the following definitions: a = e + 9; o = q + 14; w = a + 7; d = o + 6; v = r + 17; t = q + 19; c = m + 19; h = p + 2; q = 10; e = t + 13; p = d + 19; m = w + 5; r = h + 20. Given that q = 10, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"c": "s + 8", "v": "c + 8", "z": "v + 1", "h": "z + 12", "y": "h + 18", "f": "y + 4", "g": "s + 16", "a": "g + 16", "p": "a + 17", "n": "p + 20", "i": "n + 6", "x": "i + 10", "s": 5}, "premises": {"s": 5}, "target": "f"}, "answer": {"steps": [["y", "h + 18", "h + 22"], ["h", "z + 12", "z + 34"], ["z", "v + 1", "v + 35"], ["v", "c + 8", "c + 43"], ["c", "s + 8", "s + 51"], ["s", 5, "56"]], "target_var_name": "f", "target_value": 56, "value_dict": {"s": 5}, "is_reverse": true}}
| 3,567
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = g + 16; c = s + 8; v = c + 8; f = y + 4; y = h + 18; n = p + 20; g = s + 16; s = 5; p = a + 17; x = i + 10; i = n + 6; z = v + 1; h = z + 12. Given that s = 5, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = h + 18 to f, which gives f = h + 22.\n2. Substitute h = z + 12 to f, which gives f = z + 34.\n3. Substitute z = v + 1 to f, which gives f = v + 35.\n4. Substitute v = c + 8 to f, which gives f = c + 43.\n5. Substitute c = s + 8 to f, which gives f = s + 51.\n6. Substitute s = 5 to f, which gives f = 56.\n\nThus, the final answer is f = \\boxed{56}.",
"index": 3567,
"question": "Suppose a collection of variables is related by the following definitions: a = g + 16; c = s + 8; v = c + 8; f = y + 4; y = h + 18; n = p + 20; g = s + 16; s = 5; p = a + 17; x = i + 10; i = n + 6; z = v + 1; h = z + 12. Given that s = 5, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"i": "p + 7", "f": "i + 2", "w": "f + 3", "s": "w + 15", "r": "s + 4", "c": "r + 3", "y": "p + 6", "a": "y + 13", "t": "a + 5", "q": "t + 15", "d": "q + 14", "h": "d + 20", "p": 9}, "premises": {"p": 9}, "target": "c"}, "answer": {"steps": [["r", "s + 4", "s + 7"], ["s", "w + 15", "w + 22"], ["w", "f + 3", "f + 25"], ["f", "i + 2", "i + 27"], ["i", "p + 7", "p + 34"], ["p", 9, "43"]], "target_var_name": "c", "target_value": 43, "value_dict": {"p": 9}, "is_reverse": true}}
| 3,568
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = y + 13; w = f + 3; d = q + 14; f = i + 2; h = d + 20; y = p + 6; c = r + 3; r = s + 4; s = w + 15; t = a + 5; p = 9; i = p + 7; q = t + 15. If p = 9, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 43,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = s + 4 to c, which gives c = s + 7.\n2. Substitute s = w + 15 to c, which gives c = w + 22.\n3. Substitute w = f + 3 to c, which gives c = f + 25.\n4. Substitute f = i + 2 to c, which gives c = i + 27.\n5. Substitute i = p + 7 to c, which gives c = p + 34.\n6. Substitute p = 9 to c, which gives c = 43.\n\nThus, the final answer is c = \\boxed{43}.",
"index": 3568,
"question": "Consider a system of variables where each variable is defined as follows: a = y + 13; w = f + 3; d = q + 14; f = i + 2; h = d + 20; y = p + 6; c = r + 3; r = s + 4; s = w + 15; t = a + 5; p = 9; i = p + 7; q = t + 15. If p = 9, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"l": "i + 12", "q": "l + 11", "e": "q + 9", "p": "e + 18", "y": "p + 20", "u": "y + 17", "o": "i + 13", "x": "o + 13", "s": "x + 15", "w": "s + 9", "t": "w + 13", "d": "t + 3", "i": 15}, "premises": {"i": 15}, "target": "u"}, "answer": {"steps": [["y", "p + 20", "p + 37"], ["p", "e + 18", "e + 55"], ["e", "q + 9", "q + 64"], ["q", "l + 11", "l + 75"], ["l", "i + 12", "i + 87"], ["i", 15, "102"]], "target_var_name": "u", "target_value": 102, "value_dict": {"i": 15}, "is_reverse": true}}
| 3,569
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = e + 18; w = s + 9; s = x + 15; q = l + 11; t = w + 13; d = t + 3; i = 15; l = i + 12; e = q + 9; x = o + 13; u = y + 17; o = i + 13; y = p + 20. If i = 15, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 102,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = p + 20 to u, which gives u = p + 37.\n2. Substitute p = e + 18 to u, which gives u = e + 55.\n3. Substitute e = q + 9 to u, which gives u = q + 64.\n4. Substitute q = l + 11 to u, which gives u = l + 75.\n5. Substitute l = i + 12 to u, which gives u = i + 87.\n6. Substitute i = 15 to u, which gives u = 102.\n\nThus, the final answer is u = \\boxed{102}.",
"index": 3569,
"question": "Consider a system of variables where each variable is defined as follows: p = e + 18; w = s + 9; s = x + 15; q = l + 11; t = w + 13; d = t + 3; i = 15; l = i + 12; e = q + 9; x = o + 13; u = y + 17; o = i + 13; y = p + 20. If i = 15, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"n": "p + 8", "w": "n + 20", "u": "w + 17", "l": "u + 2", "v": "l + 8", "f": "v + 12", "g": "p + 17", "y": "g + 16", "x": "y + 18", "q": "x + 17", "z": "q + 1", "i": "z + 4", "p": 20}, "premises": {"p": 20}, "target": "f"}, "answer": {"steps": [["v", "l + 8", "l + 20"], ["l", "u + 2", "u + 22"], ["u", "w + 17", "w + 39"], ["w", "n + 20", "n + 59"], ["n", "p + 8", "p + 67"], ["p", 20, "87"]], "target_var_name": "f", "target_value": 87, "value_dict": {"p": 20}, "is_reverse": true}}
| 3,570
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = u + 2; y = g + 16; i = z + 4; x = y + 18; z = q + 1; n = p + 8; w = n + 20; p = 20; q = x + 17; v = l + 8; g = p + 17; u = w + 17; f = v + 12. If p = 20, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = l + 8 to f, which gives f = l + 20.\n2. Substitute l = u + 2 to f, which gives f = u + 22.\n3. Substitute u = w + 17 to f, which gives f = w + 39.\n4. Substitute w = n + 20 to f, which gives f = n + 59.\n5. Substitute n = p + 8 to f, which gives f = p + 67.\n6. Substitute p = 20 to f, which gives f = 87.\n\nThus, the final answer is f = \\boxed{87}.",
"index": 3570,
"question": "Consider a system of variables where each variable is defined as follows: l = u + 2; y = g + 16; i = z + 4; x = y + 18; z = q + 1; n = p + 8; w = n + 20; p = 20; q = x + 17; v = l + 8; g = p + 17; u = w + 17; f = v + 12. If p = 20, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"a": "j + 4", "c": "a + 13", "s": "c + 9", "n": "s + 10", "q": "n + 4", "z": "q + 2", "r": "j + 4", "b": "r + 11", "d": "b + 11", "e": "d + 18", "l": "e + 16", "x": "l + 8", "j": 4}, "premises": {"j": 4}, "target": "z"}, "answer": {"steps": [["q", "n + 4", "n + 6"], ["n", "s + 10", "s + 16"], ["s", "c + 9", "c + 25"], ["c", "a + 13", "a + 38"], ["a", "j + 4", "j + 42"], ["j", 4, "46"]], "target_var_name": "z", "target_value": 46, "value_dict": {"j": 4}, "is_reverse": true}}
| 3,571
| 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 = s + 10; j = 4; c = a + 13; x = l + 8; s = c + 9; q = n + 4; d = b + 11; e = d + 18; a = j + 4; r = j + 4; b = r + 11; z = q + 2; l = e + 16. If j = 4, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 46,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = n + 4 to z, which gives z = n + 6.\n2. Substitute n = s + 10 to z, which gives z = s + 16.\n3. Substitute s = c + 9 to z, which gives z = c + 25.\n4. Substitute c = a + 13 to z, which gives z = a + 38.\n5. Substitute a = j + 4 to z, which gives z = j + 42.\n6. Substitute j = 4 to z, which gives z = 46.\n\nThus, the final answer is z = \\boxed{46}.",
"index": 3571,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = s + 10; j = 4; c = a + 13; x = l + 8; s = c + 9; q = n + 4; d = b + 11; e = d + 18; a = j + 4; r = j + 4; b = r + 11; z = q + 2; l = e + 16. If j = 4, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"n": "f + 4", "h": "n + 2", "t": "h + 1", "m": "t + 12", "k": "m + 17", "b": "k + 17", "s": "f + 14", "x": "s + 19", "u": "x + 20", "o": "u + 14", "g": "o + 12", "q": "g + 16", "f": 11}, "premises": {"f": 11}, "target": "b"}, "answer": {"steps": [["k", "m + 17", "m + 34"], ["m", "t + 12", "t + 46"], ["t", "h + 1", "h + 47"], ["h", "n + 2", "n + 49"], ["n", "f + 4", "f + 53"], ["f", 11, "64"]], "target_var_name": "b", "target_value": 64, "value_dict": {"f": 11}, "is_reverse": true}}
| 3,572
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = x + 20; b = k + 17; f = 11; g = o + 12; h = n + 2; t = h + 1; s = f + 14; m = t + 12; o = u + 14; k = m + 17; q = g + 16; x = s + 19; n = f + 4. Given that f = 11, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = m + 17 to b, which gives b = m + 34.\n2. Substitute m = t + 12 to b, which gives b = t + 46.\n3. Substitute t = h + 1 to b, which gives b = h + 47.\n4. Substitute h = n + 2 to b, which gives b = n + 49.\n5. Substitute n = f + 4 to b, which gives b = f + 53.\n6. Substitute f = 11 to b, which gives b = 64.\n\nThus, the final answer is b = \\boxed{64}.",
"index": 3572,
"question": "Suppose a collection of variables is related by the following definitions: u = x + 20; b = k + 17; f = 11; g = o + 12; h = n + 2; t = h + 1; s = f + 14; m = t + 12; o = u + 14; k = m + 17; q = g + 16; x = s + 19; n = f + 4. Given that f = 11, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"s": "t + 4", "c": "s + 11", "n": "c + 4", "g": "n + 15", "p": "g + 17", "q": "p + 7", "i": "t + 19", "m": "i + 17", "f": "m + 1", "l": "f + 19", "d": "l + 3", "o": "d + 18", "t": 8}, "premises": {"t": 8}, "target": "q"}, "answer": {"steps": [["p", "g + 17", "g + 24"], ["g", "n + 15", "n + 39"], ["n", "c + 4", "c + 43"], ["c", "s + 11", "s + 54"], ["s", "t + 4", "t + 58"], ["t", 8, "66"]], "target_var_name": "q", "target_value": 66, "value_dict": {"t": 8}, "is_reverse": true}}
| 3,573
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = t + 4; c = s + 11; g = n + 15; q = p + 7; f = m + 1; t = 8; d = l + 3; o = d + 18; i = t + 19; m = i + 17; l = f + 19; p = g + 17; n = c + 4. Given that t = 8, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = g + 17 to q, which gives q = g + 24.\n2. Substitute g = n + 15 to q, which gives q = n + 39.\n3. Substitute n = c + 4 to q, which gives q = c + 43.\n4. Substitute c = s + 11 to q, which gives q = s + 54.\n5. Substitute s = t + 4 to q, which gives q = t + 58.\n6. Substitute t = 8 to q, which gives q = 66.\n\nThus, the final answer is q = \\boxed{66}.",
"index": 3573,
"question": "Suppose a collection of variables is related by the following definitions: s = t + 4; c = s + 11; g = n + 15; q = p + 7; f = m + 1; t = 8; d = l + 3; o = d + 18; i = t + 19; m = i + 17; l = f + 19; p = g + 17; n = c + 4. Given that t = 8, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"n": "d + 12", "b": "n + 14", "a": "b + 4", "q": "a + 4", "v": "q + 1", "y": "v + 5", "e": "d + 5", "r": "e + 9", "s": "r + 12", "w": "s + 6", "t": "w + 6", "g": "t + 9", "d": 2}, "premises": {"d": 2}, "target": "y"}, "answer": {"steps": [["v", "q + 1", "q + 6"], ["q", "a + 4", "a + 10"], ["a", "b + 4", "b + 14"], ["b", "n + 14", "n + 28"], ["n", "d + 12", "d + 40"], ["d", 2, "42"]], "target_var_name": "y", "target_value": 42, "value_dict": {"d": 2}, "is_reverse": true}}
| 3,574
| 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 = r + 12; b = n + 14; r = e + 9; d = 2; t = w + 6; y = v + 5; g = t + 9; q = a + 4; e = d + 5; w = s + 6; a = b + 4; v = q + 1; n = d + 12. If d = 2, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 42,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = q + 1 to y, which gives y = q + 6.\n2. Substitute q = a + 4 to y, which gives y = a + 10.\n3. Substitute a = b + 4 to y, which gives y = b + 14.\n4. Substitute b = n + 14 to y, which gives y = n + 28.\n5. Substitute n = d + 12 to y, which gives y = d + 40.\n6. Substitute d = 2 to y, which gives y = 42.\n\nThus, the final answer is y = \\boxed{42}.",
"index": 3574,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = r + 12; b = n + 14; r = e + 9; d = 2; t = w + 6; y = v + 5; g = t + 9; q = a + 4; e = d + 5; w = s + 6; a = b + 4; v = q + 1; n = d + 12. If d = 2, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"q": "u + 1", "m": "q + 4", "l": "m + 14", "g": "l + 9", "x": "g + 15", "j": "x + 2", "f": "u + 12", "w": "f + 11", "a": "w + 19", "v": "a + 14", "i": "v + 8", "k": "i + 9", "u": 4}, "premises": {"u": 4}, "target": "j"}, "answer": {"steps": [["x", "g + 15", "g + 17"], ["g", "l + 9", "l + 26"], ["l", "m + 14", "m + 40"], ["m", "q + 4", "q + 44"], ["q", "u + 1", "u + 45"], ["u", 4, "49"]], "target_var_name": "j", "target_value": 49, "value_dict": {"u": 4}, "is_reverse": true}}
| 3,575
| 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 = w + 19; x = g + 15; j = x + 2; k = i + 9; w = f + 11; m = q + 4; v = a + 14; f = u + 12; g = l + 9; l = m + 14; u = 4; i = v + 8; q = u + 1. If u = 4, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = g + 15 to j, which gives j = g + 17.\n2. Substitute g = l + 9 to j, which gives j = l + 26.\n3. Substitute l = m + 14 to j, which gives j = m + 40.\n4. Substitute m = q + 4 to j, which gives j = q + 44.\n5. Substitute q = u + 1 to j, which gives j = u + 45.\n6. Substitute u = 4 to j, which gives j = 49.\n\nThus, the final answer is j = \\boxed{49}.",
"index": 3575,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = w + 19; x = g + 15; j = x + 2; k = i + 9; w = f + 11; m = q + 4; v = a + 14; f = u + 12; g = l + 9; l = m + 14; u = 4; i = v + 8; q = u + 1. If u = 4, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"o": "k + 18", "f": "o + 20", "i": "f + 2", "e": "i + 6", "r": "e + 2", "u": "r + 20", "h": "k + 5", "z": "h + 8", "v": "z + 8", "g": "v + 2", "c": "g + 4", "t": "c + 14", "k": 19}, "premises": {"k": 19}, "target": "u"}, "answer": {"steps": [["r", "e + 2", "e + 22"], ["e", "i + 6", "i + 28"], ["i", "f + 2", "f + 30"], ["f", "o + 20", "o + 50"], ["o", "k + 18", "k + 68"], ["k", 19, "87"]], "target_var_name": "u", "target_value": 87, "value_dict": {"k": 19}, "is_reverse": true}}
| 3,576
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = k + 18; f = o + 20; h = k + 5; u = r + 20; v = z + 8; k = 19; e = i + 6; r = e + 2; g = v + 2; i = f + 2; c = g + 4; t = c + 14; z = h + 8. Given that k = 19, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = e + 2 to u, which gives u = e + 22.\n2. Substitute e = i + 6 to u, which gives u = i + 28.\n3. Substitute i = f + 2 to u, which gives u = f + 30.\n4. Substitute f = o + 20 to u, which gives u = o + 50.\n5. Substitute o = k + 18 to u, which gives u = k + 68.\n6. Substitute k = 19 to u, which gives u = 87.\n\nThus, the final answer is u = \\boxed{87}.",
"index": 3576,
"question": "Suppose a collection of variables is related by the following definitions: o = k + 18; f = o + 20; h = k + 5; u = r + 20; v = z + 8; k = 19; e = i + 6; r = e + 2; g = v + 2; i = f + 2; c = g + 4; t = c + 14; z = h + 8. Given that k = 19, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"d": "s + 16", "p": "d + 5", "m": "p + 6", "f": "m + 4", "b": "f + 4", "o": "b + 4", "j": "s + 6", "h": "j + 2", "v": "h + 19", "g": "v + 5", "u": "g + 10", "r": "u + 4", "s": 6}, "premises": {"s": 6}, "target": "o"}, "answer": {"steps": [["b", "f + 4", "f + 8"], ["f", "m + 4", "m + 12"], ["m", "p + 6", "p + 18"], ["p", "d + 5", "d + 23"], ["d", "s + 16", "s + 39"], ["s", 6, "45"]], "target_var_name": "o", "target_value": 45, "value_dict": {"s": 6}, "is_reverse": true}}
| 3,577
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = u + 4; u = g + 10; s = 6; p = d + 5; f = m + 4; g = v + 5; d = s + 16; m = p + 6; j = s + 6; b = f + 4; o = b + 4; v = h + 19; h = j + 2. If s = 6, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 45,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = f + 4 to o, which gives o = f + 8.\n2. Substitute f = m + 4 to o, which gives o = m + 12.\n3. Substitute m = p + 6 to o, which gives o = p + 18.\n4. Substitute p = d + 5 to o, which gives o = d + 23.\n5. Substitute d = s + 16 to o, which gives o = s + 39.\n6. Substitute s = 6 to o, which gives o = 45.\n\nThus, the final answer is o = \\boxed{45}.",
"index": 3577,
"question": "Consider a system of variables where each variable is defined as follows: r = u + 4; u = g + 10; s = 6; p = d + 5; f = m + 4; g = v + 5; d = s + 16; m = p + 6; j = s + 6; b = f + 4; o = b + 4; v = h + 19; h = j + 2. If s = 6, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"j": "q + 4", "t": "j + 8", "y": "t + 3", "r": "y + 15", "u": "r + 3", "h": "u + 12", "f": "q + 18", "k": "f + 6", "c": "k + 13", "g": "c + 11", "l": "g + 16", "b": "l + 14", "q": 15}, "premises": {"q": 15}, "target": "h"}, "answer": {"steps": [["u", "r + 3", "r + 15"], ["r", "y + 15", "y + 30"], ["y", "t + 3", "t + 33"], ["t", "j + 8", "j + 41"], ["j", "q + 4", "q + 45"], ["q", 15, "60"]], "target_var_name": "h", "target_value": 60, "value_dict": {"q": 15}, "is_reverse": true}}
| 3,578
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = q + 18; g = c + 11; k = f + 6; u = r + 3; c = k + 13; l = g + 16; b = l + 14; j = q + 4; y = t + 3; q = 15; r = y + 15; h = u + 12; t = j + 8. If q = 15, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = r + 3 to h, which gives h = r + 15.\n2. Substitute r = y + 15 to h, which gives h = y + 30.\n3. Substitute y = t + 3 to h, which gives h = t + 33.\n4. Substitute t = j + 8 to h, which gives h = j + 41.\n5. Substitute j = q + 4 to h, which gives h = q + 45.\n6. Substitute q = 15 to h, which gives h = 60.\n\nThus, the final answer is h = \\boxed{60}.",
"index": 3578,
"question": "Consider a system of variables where each variable is defined as follows: f = q + 18; g = c + 11; k = f + 6; u = r + 3; c = k + 13; l = g + 16; b = l + 14; j = q + 4; y = t + 3; q = 15; r = y + 15; h = u + 12; t = j + 8. If q = 15, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"v": "l + 6", "b": "v + 15", "r": "b + 2", "j": "r + 19", "g": "j + 12", "t": "g + 14", "n": "l + 13", "h": "n + 15", "y": "h + 20", "c": "y + 9", "k": "c + 4", "w": "k + 9", "l": 19}, "premises": {"l": 19}, "target": "t"}, "answer": {"steps": [["g", "j + 12", "j + 26"], ["j", "r + 19", "r + 45"], ["r", "b + 2", "b + 47"], ["b", "v + 15", "v + 62"], ["v", "l + 6", "l + 68"], ["l", 19, "87"]], "target_var_name": "t", "target_value": 87, "value_dict": {"l": 19}, "is_reverse": true}}
| 3,579
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = k + 9; c = y + 9; t = g + 14; j = r + 19; v = l + 6; n = l + 13; y = h + 20; k = c + 4; l = 19; b = v + 15; r = b + 2; h = n + 15; g = j + 12. Given that l = 19, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = j + 12 to t, which gives t = j + 26.\n2. Substitute j = r + 19 to t, which gives t = r + 45.\n3. Substitute r = b + 2 to t, which gives t = b + 47.\n4. Substitute b = v + 15 to t, which gives t = v + 62.\n5. Substitute v = l + 6 to t, which gives t = l + 68.\n6. Substitute l = 19 to t, which gives t = 87.\n\nThus, the final answer is t = \\boxed{87}.",
"index": 3579,
"question": "Suppose a collection of variables is related by the following definitions: w = k + 9; c = y + 9; t = g + 14; j = r + 19; v = l + 6; n = l + 13; y = h + 20; k = c + 4; l = 19; b = v + 15; r = b + 2; h = n + 15; g = j + 12. Given that l = 19, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"f": "l + 10", "p": "f + 15", "s": "p + 11", "r": "s + 19", "z": "r + 8", "k": "z + 13", "d": "l + 8", "g": "d + 7", "y": "g + 9", "q": "y + 17", "u": "q + 15", "v": "u + 9", "l": 2}, "premises": {"l": 2}, "target": "k"}, "answer": {"steps": [["z", "r + 8", "r + 21"], ["r", "s + 19", "s + 40"], ["s", "p + 11", "p + 51"], ["p", "f + 15", "f + 66"], ["f", "l + 10", "l + 76"], ["l", 2, "78"]], "target_var_name": "k", "target_value": 78, "value_dict": {"l": 2}, "is_reverse": true}}
| 3,580
| 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 = p + 11; q = y + 17; f = l + 10; y = g + 9; p = f + 15; g = d + 7; k = z + 13; u = q + 15; l = 2; d = l + 8; v = u + 9; r = s + 19; z = r + 8. If l = 2, 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 z = r + 8 to k, which gives k = r + 21.\n2. Substitute r = s + 19 to k, which gives k = s + 40.\n3. Substitute s = p + 11 to k, which gives k = p + 51.\n4. Substitute p = f + 15 to k, which gives k = f + 66.\n5. Substitute f = l + 10 to k, which gives k = l + 76.\n6. Substitute l = 2 to k, which gives k = 78.\n\nThus, the final answer is k = \\boxed{78}.",
"index": 3580,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = p + 11; q = y + 17; f = l + 10; y = g + 9; p = f + 15; g = d + 7; k = z + 13; u = q + 15; l = 2; d = l + 8; v = u + 9; r = s + 19; z = r + 8. If l = 2, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"p": "q + 5", "f": "p + 6", "j": "f + 9", "r": "j + 7", "l": "r + 2", "k": "l + 15", "t": "q + 9", "s": "t + 8", "m": "s + 8", "b": "m + 12", "i": "b + 14", "w": "i + 12", "q": 15}, "premises": {"q": 15}, "target": "k"}, "answer": {"steps": [["l", "r + 2", "r + 17"], ["r", "j + 7", "j + 24"], ["j", "f + 9", "f + 33"], ["f", "p + 6", "p + 39"], ["p", "q + 5", "q + 44"], ["q", 15, "59"]], "target_var_name": "k", "target_value": 59, "value_dict": {"q": 15}, "is_reverse": true}}
| 3,581
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = q + 5; w = i + 12; j = f + 9; k = l + 15; i = b + 14; q = 15; b = m + 12; s = t + 8; f = p + 6; l = r + 2; r = j + 7; m = s + 8; t = q + 9. If q = 15, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = r + 2 to k, which gives k = r + 17.\n2. Substitute r = j + 7 to k, which gives k = j + 24.\n3. Substitute j = f + 9 to k, which gives k = f + 33.\n4. Substitute f = p + 6 to k, which gives k = p + 39.\n5. Substitute p = q + 5 to k, which gives k = q + 44.\n6. Substitute q = 15 to k, which gives k = 59.\n\nThus, the final answer is k = \\boxed{59}.",
"index": 3581,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = q + 5; w = i + 12; j = f + 9; k = l + 15; i = b + 14; q = 15; b = m + 12; s = t + 8; f = p + 6; l = r + 2; r = j + 7; m = s + 8; t = q + 9. If q = 15, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"h": "j + 8", "o": "h + 17", "x": "o + 18", "c": "x + 15", "k": "c + 19", "l": "k + 16", "r": "j + 6", "q": "r + 8", "s": "q + 19", "p": "s + 20", "b": "p + 16", "u": "b + 14", "j": 12}, "premises": {"j": 12}, "target": "l"}, "answer": {"steps": [["k", "c + 19", "c + 35"], ["c", "x + 15", "x + 50"], ["x", "o + 18", "o + 68"], ["o", "h + 17", "h + 85"], ["h", "j + 8", "j + 93"], ["j", 12, "105"]], "target_var_name": "l", "target_value": 105, "value_dict": {"j": 12}, "is_reverse": true}}
| 3,582
| 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 = r + 8; s = q + 19; k = c + 19; o = h + 17; j = 12; h = j + 8; p = s + 20; c = x + 15; l = k + 16; b = p + 16; u = b + 14; r = j + 6; x = o + 18. If j = 12, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 105,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = c + 19 to l, which gives l = c + 35.\n2. Substitute c = x + 15 to l, which gives l = x + 50.\n3. Substitute x = o + 18 to l, which gives l = o + 68.\n4. Substitute o = h + 17 to l, which gives l = h + 85.\n5. Substitute h = j + 8 to l, which gives l = j + 93.\n6. Substitute j = 12 to l, which gives l = 105.\n\nThus, the final answer is l = \\boxed{105}.",
"index": 3582,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = r + 8; s = q + 19; k = c + 19; o = h + 17; j = 12; h = j + 8; p = s + 20; c = x + 15; l = k + 16; b = p + 16; u = b + 14; r = j + 6; x = o + 18. If j = 12, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"u": "y + 10", "j": "u + 1", "s": "j + 11", "x": "s + 10", "v": "x + 14", "h": "v + 5", "q": "y + 16", "a": "q + 16", "m": "a + 18", "e": "m + 11", "f": "e + 8", "r": "f + 5", "y": 5}, "premises": {"y": 5}, "target": "h"}, "answer": {"steps": [["v", "x + 14", "x + 19"], ["x", "s + 10", "s + 29"], ["s", "j + 11", "j + 40"], ["j", "u + 1", "u + 41"], ["u", "y + 10", "y + 51"], ["y", 5, "56"]], "target_var_name": "h", "target_value": 56, "value_dict": {"y": 5}, "is_reverse": true}}
| 3,583
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = v + 5; x = s + 10; u = y + 10; y = 5; r = f + 5; v = x + 14; j = u + 1; e = m + 11; a = q + 16; q = y + 16; m = a + 18; f = e + 8; s = j + 11. Given that y = 5, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = x + 14 to h, which gives h = x + 19.\n2. Substitute x = s + 10 to h, which gives h = s + 29.\n3. Substitute s = j + 11 to h, which gives h = j + 40.\n4. Substitute j = u + 1 to h, which gives h = u + 41.\n5. Substitute u = y + 10 to h, which gives h = y + 51.\n6. Substitute y = 5 to h, which gives h = 56.\n\nThus, the final answer is h = \\boxed{56}.",
"index": 3583,
"question": "Suppose a collection of variables is related by the following definitions: h = v + 5; x = s + 10; u = y + 10; y = 5; r = f + 5; v = x + 14; j = u + 1; e = m + 11; a = q + 16; q = y + 16; m = a + 18; f = e + 8; s = j + 11. Given that y = 5, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"a": "r + 11", "m": "a + 15", "l": "m + 9", "n": "l + 9", "v": "n + 9", "j": "v + 9", "i": "r + 2", "q": "i + 8", "o": "q + 4", "c": "o + 13", "k": "c + 3", "w": "k + 19", "r": 8}, "premises": {"r": 8}, "target": "j"}, "answer": {"steps": [["v", "n + 9", "n + 18"], ["n", "l + 9", "l + 27"], ["l", "m + 9", "m + 36"], ["m", "a + 15", "a + 51"], ["a", "r + 11", "r + 62"], ["r", 8, "70"]], "target_var_name": "j", "target_value": 70, "value_dict": {"r": 8}, "is_reverse": true}}
| 3,584
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = r + 11; i = r + 2; q = i + 8; n = l + 9; w = k + 19; k = c + 3; o = q + 4; l = m + 9; j = v + 9; m = a + 15; r = 8; c = o + 13; v = n + 9. Given that r = 8, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = n + 9 to j, which gives j = n + 18.\n2. Substitute n = l + 9 to j, which gives j = l + 27.\n3. Substitute l = m + 9 to j, which gives j = m + 36.\n4. Substitute m = a + 15 to j, which gives j = a + 51.\n5. Substitute a = r + 11 to j, which gives j = r + 62.\n6. Substitute r = 8 to j, which gives j = 70.\n\nThus, the final answer is j = \\boxed{70}.",
"index": 3584,
"question": "Suppose a collection of variables is related by the following definitions: a = r + 11; i = r + 2; q = i + 8; n = l + 9; w = k + 19; k = c + 3; o = q + 4; l = m + 9; j = v + 9; m = a + 15; r = 8; c = o + 13; v = n + 9. Given that r = 8, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"k": "w + 16", "p": "k + 8", "u": "p + 6", "o": "u + 10", "f": "o + 7", "x": "f + 7", "v": "w + 8", "n": "v + 15", "z": "n + 1", "d": "z + 15", "e": "d + 19", "l": "e + 7", "w": 20}, "premises": {"w": 20}, "target": "x"}, "answer": {"steps": [["f", "o + 7", "o + 14"], ["o", "u + 10", "u + 24"], ["u", "p + 6", "p + 30"], ["p", "k + 8", "k + 38"], ["k", "w + 16", "w + 54"], ["w", 20, "74"]], "target_var_name": "x", "target_value": 74, "value_dict": {"w": 20}, "is_reverse": true}}
| 3,585
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = k + 8; k = w + 16; f = o + 7; o = u + 10; d = z + 15; v = w + 8; u = p + 6; w = 20; l = e + 7; e = d + 19; n = v + 15; x = f + 7; z = n + 1. If w = 20, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = o + 7 to x, which gives x = o + 14.\n2. Substitute o = u + 10 to x, which gives x = u + 24.\n3. Substitute u = p + 6 to x, which gives x = p + 30.\n4. Substitute p = k + 8 to x, which gives x = k + 38.\n5. Substitute k = w + 16 to x, which gives x = w + 54.\n6. Substitute w = 20 to x, which gives x = 74.\n\nThus, the final answer is x = \\boxed{74}.",
"index": 3585,
"question": "Consider a system of variables where each variable is defined as follows: p = k + 8; k = w + 16; f = o + 7; o = u + 10; d = z + 15; v = w + 8; u = p + 6; w = 20; l = e + 7; e = d + 19; n = v + 15; x = f + 7; z = n + 1. If w = 20, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"d": "z + 19", "m": "d + 3", "c": "m + 15", "t": "c + 20", "a": "t + 18", "o": "a + 16", "w": "z + 16", "i": "w + 10", "h": "i + 20", "b": "h + 19", "p": "b + 8", "q": "p + 7", "z": 10}, "premises": {"z": 10}, "target": "o"}, "answer": {"steps": [["a", "t + 18", "t + 34"], ["t", "c + 20", "c + 54"], ["c", "m + 15", "m + 69"], ["m", "d + 3", "d + 72"], ["d", "z + 19", "z + 91"], ["z", 10, "101"]], "target_var_name": "o", "target_value": 101, "value_dict": {"z": 10}, "is_reverse": true}}
| 3,586
| 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 = z + 19; h = i + 20; i = w + 10; o = a + 16; c = m + 15; a = t + 18; z = 10; t = c + 20; b = h + 19; w = z + 16; q = p + 7; p = b + 8; m = d + 3. If z = 10, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 101,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = t + 18 to o, which gives o = t + 34.\n2. Substitute t = c + 20 to o, which gives o = c + 54.\n3. Substitute c = m + 15 to o, which gives o = m + 69.\n4. Substitute m = d + 3 to o, which gives o = d + 72.\n5. Substitute d = z + 19 to o, which gives o = z + 91.\n6. Substitute z = 10 to o, which gives o = 101.\n\nThus, the final answer is o = \\boxed{101}.",
"index": 3586,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = z + 19; h = i + 20; i = w + 10; o = a + 16; c = m + 15; a = t + 18; z = 10; t = c + 20; b = h + 19; w = z + 16; q = p + 7; p = b + 8; m = d + 3. If z = 10, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"d": "j + 13", "q": "d + 8", "m": "q + 2", "a": "m + 8", "u": "a + 18", "o": "u + 10", "e": "j + 14", "b": "e + 17", "t": "b + 7", "s": "t + 13", "p": "s + 17", "r": "p + 7", "j": 6}, "premises": {"j": 6}, "target": "o"}, "answer": {"steps": [["u", "a + 18", "a + 28"], ["a", "m + 8", "m + 36"], ["m", "q + 2", "q + 38"], ["q", "d + 8", "d + 46"], ["d", "j + 13", "j + 59"], ["j", 6, "65"]], "target_var_name": "o", "target_value": 65, "value_dict": {"j": 6}, "is_reverse": true}}
| 3,587
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = a + 18; p = s + 17; a = m + 8; b = e + 17; q = d + 8; o = u + 10; e = j + 14; d = j + 13; s = t + 13; m = q + 2; r = p + 7; t = b + 7; j = 6. Given that j = 6, 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 u = a + 18 to o, which gives o = a + 28.\n2. Substitute a = m + 8 to o, which gives o = m + 36.\n3. Substitute m = q + 2 to o, which gives o = q + 38.\n4. Substitute q = d + 8 to o, which gives o = d + 46.\n5. Substitute d = j + 13 to o, which gives o = j + 59.\n6. Substitute j = 6 to o, which gives o = 65.\n\nThus, the final answer is o = \\boxed{65}.",
"index": 3587,
"question": "Suppose a collection of variables is related by the following definitions: u = a + 18; p = s + 17; a = m + 8; b = e + 17; q = d + 8; o = u + 10; e = j + 14; d = j + 13; s = t + 13; m = q + 2; r = p + 7; t = b + 7; j = 6. Given that j = 6, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"n": "g + 4", "c": "n + 12", "y": "c + 19", "v": "y + 14", "h": "v + 2", "s": "h + 5", "o": "g + 6", "u": "o + 13", "f": "u + 18", "q": "f + 2", "i": "q + 17", "d": "i + 1", "g": 4}, "premises": {"g": 4}, "target": "s"}, "answer": {"steps": [["h", "v + 2", "v + 7"], ["v", "y + 14", "y + 21"], ["y", "c + 19", "c + 40"], ["c", "n + 12", "n + 52"], ["n", "g + 4", "g + 56"], ["g", 4, "60"]], "target_var_name": "s", "target_value": 60, "value_dict": {"g": 4}, "is_reverse": true}}
| 3,588
| 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 = i + 1; h = v + 2; f = u + 18; u = o + 13; o = g + 6; v = y + 14; s = h + 5; g = 4; c = n + 12; q = f + 2; y = c + 19; n = g + 4; i = q + 17. If g = 4, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = v + 2 to s, which gives s = v + 7.\n2. Substitute v = y + 14 to s, which gives s = y + 21.\n3. Substitute y = c + 19 to s, which gives s = c + 40.\n4. Substitute c = n + 12 to s, which gives s = n + 52.\n5. Substitute n = g + 4 to s, which gives s = g + 56.\n6. Substitute g = 4 to s, which gives s = 60.\n\nThus, the final answer is s = \\boxed{60}.",
"index": 3588,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = i + 1; h = v + 2; f = u + 18; u = o + 13; o = g + 6; v = y + 14; s = h + 5; g = 4; c = n + 12; q = f + 2; y = c + 19; n = g + 4; i = q + 17. If g = 4, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"t": "o + 10", "b": "t + 11", "q": "b + 11", "a": "q + 12", "z": "a + 3", "w": "z + 15", "u": "o + 18", "h": "u + 10", "p": "h + 8", "k": "p + 9", "c": "k + 20", "n": "c + 11", "o": 9}, "premises": {"o": 9}, "target": "w"}, "answer": {"steps": [["z", "a + 3", "a + 18"], ["a", "q + 12", "q + 30"], ["q", "b + 11", "b + 41"], ["b", "t + 11", "t + 52"], ["t", "o + 10", "o + 62"], ["o", 9, "71"]], "target_var_name": "w", "target_value": 71, "value_dict": {"o": 9}, "is_reverse": true}}
| 3,589
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = o + 18; o = 9; z = a + 3; n = c + 11; h = u + 10; w = z + 15; t = o + 10; p = h + 8; q = b + 11; b = t + 11; k = p + 9; c = k + 20; a = q + 12. If o = 9, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = a + 3 to w, which gives w = a + 18.\n2. Substitute a = q + 12 to w, which gives w = q + 30.\n3. Substitute q = b + 11 to w, which gives w = b + 41.\n4. Substitute b = t + 11 to w, which gives w = t + 52.\n5. Substitute t = o + 10 to w, which gives w = o + 62.\n6. Substitute o = 9 to w, which gives w = 71.\n\nThus, the final answer is w = \\boxed{71}.",
"index": 3589,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = o + 18; o = 9; z = a + 3; n = c + 11; h = u + 10; w = z + 15; t = o + 10; p = h + 8; q = b + 11; b = t + 11; k = p + 9; c = k + 20; a = q + 12. If o = 9, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"g": "n + 15", "o": "g + 9", "v": "o + 10", "z": "v + 14", "e": "z + 7", "x": "e + 1", "s": "n + 3", "k": "s + 6", "p": "k + 18", "q": "p + 18", "h": "q + 11", "u": "h + 12", "n": 1}, "premises": {"n": 1}, "target": "x"}, "answer": {"steps": [["e", "z + 7", "z + 8"], ["z", "v + 14", "v + 22"], ["v", "o + 10", "o + 32"], ["o", "g + 9", "g + 41"], ["g", "n + 15", "n + 56"], ["n", 1, "57"]], "target_var_name": "x", "target_value": 57, "value_dict": {"n": 1}, "is_reverse": true}}
| 3,590
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = h + 12; q = p + 18; k = s + 6; n = 1; e = z + 7; g = n + 15; h = q + 11; x = e + 1; v = o + 10; o = g + 9; s = n + 3; p = k + 18; z = v + 14. If n = 1, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = z + 7 to x, which gives x = z + 8.\n2. Substitute z = v + 14 to x, which gives x = v + 22.\n3. Substitute v = o + 10 to x, which gives x = o + 32.\n4. Substitute o = g + 9 to x, which gives x = g + 41.\n5. Substitute g = n + 15 to x, which gives x = n + 56.\n6. Substitute n = 1 to x, which gives x = 57.\n\nThus, the final answer is x = \\boxed{57}.",
"index": 3590,
"question": "Consider a system of variables where each variable is defined as follows: u = h + 12; q = p + 18; k = s + 6; n = 1; e = z + 7; g = n + 15; h = q + 11; x = e + 1; v = o + 10; o = g + 9; s = n + 3; p = k + 18; z = v + 14. If n = 1, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"h": "q + 17", "k": "h + 2", "v": "k + 8", "a": "v + 20", "i": "a + 4", "t": "i + 2", "y": "q + 13", "r": "y + 2", "l": "r + 10", "c": "l + 12", "p": "c + 2", "d": "p + 4", "q": 3}, "premises": {"q": 3}, "target": "t"}, "answer": {"steps": [["i", "a + 4", "a + 6"], ["a", "v + 20", "v + 26"], ["v", "k + 8", "k + 34"], ["k", "h + 2", "h + 36"], ["h", "q + 17", "q + 53"], ["q", 3, "56"]], "target_var_name": "t", "target_value": 56, "value_dict": {"q": 3}, "is_reverse": true}}
| 3,591
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = p + 4; r = y + 2; v = k + 8; p = c + 2; k = h + 2; l = r + 10; q = 3; a = v + 20; i = a + 4; y = q + 13; h = q + 17; t = i + 2; c = l + 12. Given that q = 3, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = a + 4 to t, which gives t = a + 6.\n2. Substitute a = v + 20 to t, which gives t = v + 26.\n3. Substitute v = k + 8 to t, which gives t = k + 34.\n4. Substitute k = h + 2 to t, which gives t = h + 36.\n5. Substitute h = q + 17 to t, which gives t = q + 53.\n6. Substitute q = 3 to t, which gives t = 56.\n\nThus, the final answer is t = \\boxed{56}.",
"index": 3591,
"question": "Suppose a collection of variables is related by the following definitions: d = p + 4; r = y + 2; v = k + 8; p = c + 2; k = h + 2; l = r + 10; q = 3; a = v + 20; i = a + 4; y = q + 13; h = q + 17; t = i + 2; c = l + 12. Given that q = 3, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"p": "t + 5", "g": "p + 16", "o": "g + 8", "c": "o + 15", "f": "c + 13", "r": "f + 6", "a": "t + 13", "l": "a + 1", "u": "l + 15", "h": "u + 9", "y": "h + 11", "q": "y + 9", "t": 10}, "premises": {"t": 10}, "target": "r"}, "answer": {"steps": [["f", "c + 13", "c + 19"], ["c", "o + 15", "o + 34"], ["o", "g + 8", "g + 42"], ["g", "p + 16", "p + 58"], ["p", "t + 5", "t + 63"], ["t", 10, "73"]], "target_var_name": "r", "target_value": 73, "value_dict": {"t": 10}, "is_reverse": true}}
| 3,592
| 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 = t + 13; q = y + 9; f = c + 13; c = o + 15; g = p + 16; u = l + 15; t = 10; o = g + 8; h = u + 9; p = t + 5; r = f + 6; l = a + 1; y = h + 11. If t = 10, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = c + 13 to r, which gives r = c + 19.\n2. Substitute c = o + 15 to r, which gives r = o + 34.\n3. Substitute o = g + 8 to r, which gives r = g + 42.\n4. Substitute g = p + 16 to r, which gives r = p + 58.\n5. Substitute p = t + 5 to r, which gives r = t + 63.\n6. Substitute t = 10 to r, which gives r = 73.\n\nThus, the final answer is r = \\boxed{73}.",
"index": 3592,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = t + 13; q = y + 9; f = c + 13; c = o + 15; g = p + 16; u = l + 15; t = 10; o = g + 8; h = u + 9; p = t + 5; r = f + 6; l = a + 1; y = h + 11. If t = 10, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"b": "r + 13", "e": "b + 14", "m": "e + 2", "o": "m + 14", "z": "o + 4", "a": "z + 15", "n": "r + 5", "p": "n + 1", "q": "p + 7", "l": "q + 11", "j": "l + 17", "s": "j + 6", "r": 18}, "premises": {"r": 18}, "target": "a"}, "answer": {"steps": [["z", "o + 4", "o + 19"], ["o", "m + 14", "m + 33"], ["m", "e + 2", "e + 35"], ["e", "b + 14", "b + 49"], ["b", "r + 13", "r + 62"], ["r", 18, "80"]], "target_var_name": "a", "target_value": 80, "value_dict": {"r": 18}, "is_reverse": true}}
| 3,593
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = j + 6; e = b + 14; p = n + 1; o = m + 14; m = e + 2; l = q + 11; r = 18; n = r + 5; a = z + 15; z = o + 4; j = l + 17; q = p + 7; b = r + 13. Given that r = 18, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = o + 4 to a, which gives a = o + 19.\n2. Substitute o = m + 14 to a, which gives a = m + 33.\n3. Substitute m = e + 2 to a, which gives a = e + 35.\n4. Substitute e = b + 14 to a, which gives a = b + 49.\n5. Substitute b = r + 13 to a, which gives a = r + 62.\n6. Substitute r = 18 to a, which gives a = 80.\n\nThus, the final answer is a = \\boxed{80}.",
"index": 3593,
"question": "Suppose a collection of variables is related by the following definitions: s = j + 6; e = b + 14; p = n + 1; o = m + 14; m = e + 2; l = q + 11; r = 18; n = r + 5; a = z + 15; z = o + 4; j = l + 17; q = p + 7; b = r + 13. Given that r = 18, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"f": "d + 14", "t": "f + 16", "a": "t + 17", "s": "a + 12", "h": "s + 20", "z": "h + 13", "p": "d + 10", "b": "p + 8", "m": "b + 15", "v": "m + 11", "n": "v + 14", "i": "n + 10", "d": 8}, "premises": {"d": 8}, "target": "z"}, "answer": {"steps": [["h", "s + 20", "s + 33"], ["s", "a + 12", "a + 45"], ["a", "t + 17", "t + 62"], ["t", "f + 16", "f + 78"], ["f", "d + 14", "d + 92"], ["d", 8, "100"]], "target_var_name": "z", "target_value": 100, "value_dict": {"d": 8}, "is_reverse": true}}
| 3,594
| 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 = a + 12; a = t + 17; d = 8; p = d + 10; f = d + 14; m = b + 15; v = m + 11; z = h + 13; h = s + 20; i = n + 10; t = f + 16; b = p + 8; n = v + 14. If d = 8, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 100,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = s + 20 to z, which gives z = s + 33.\n2. Substitute s = a + 12 to z, which gives z = a + 45.\n3. Substitute a = t + 17 to z, which gives z = t + 62.\n4. Substitute t = f + 16 to z, which gives z = f + 78.\n5. Substitute f = d + 14 to z, which gives z = d + 92.\n6. Substitute d = 8 to z, which gives z = 100.\n\nThus, the final answer is z = \\boxed{100}.",
"index": 3594,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = a + 12; a = t + 17; d = 8; p = d + 10; f = d + 14; m = b + 15; v = m + 11; z = h + 13; h = s + 20; i = n + 10; t = f + 16; b = p + 8; n = v + 14. If d = 8, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"d": "i + 1", "j": "d + 18", "p": "j + 20", "g": "p + 6", "s": "g + 18", "m": "s + 19", "n": "i + 11", "z": "n + 8", "e": "z + 11", "f": "e + 14", "l": "f + 9", "x": "l + 15", "i": 5}, "premises": {"i": 5}, "target": "m"}, "answer": {"steps": [["s", "g + 18", "g + 37"], ["g", "p + 6", "p + 43"], ["p", "j + 20", "j + 63"], ["j", "d + 18", "d + 81"], ["d", "i + 1", "i + 82"], ["i", 5, "87"]], "target_var_name": "m", "target_value": 87, "value_dict": {"i": 5}, "is_reverse": true}}
| 3,595
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = e + 14; j = d + 18; x = l + 15; i = 5; l = f + 9; g = p + 6; m = s + 19; p = j + 20; n = i + 11; z = n + 8; e = z + 11; d = i + 1; s = g + 18. Given that i = 5, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = g + 18 to m, which gives m = g + 37.\n2. Substitute g = p + 6 to m, which gives m = p + 43.\n3. Substitute p = j + 20 to m, which gives m = j + 63.\n4. Substitute j = d + 18 to m, which gives m = d + 81.\n5. Substitute d = i + 1 to m, which gives m = i + 82.\n6. Substitute i = 5 to m, which gives m = 87.\n\nThus, the final answer is m = \\boxed{87}.",
"index": 3595,
"question": "Suppose a collection of variables is related by the following definitions: f = e + 14; j = d + 18; x = l + 15; i = 5; l = f + 9; g = p + 6; m = s + 19; p = j + 20; n = i + 11; z = n + 8; e = z + 11; d = i + 1; s = g + 18. Given that i = 5, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"l": "e + 4", "w": "l + 4", "b": "w + 9", "p": "b + 2", "q": "p + 13", "i": "q + 9", "f": "e + 20", "g": "f + 7", "s": "g + 10", "x": "s + 11", "y": "x + 14", "o": "y + 14", "e": 12}, "premises": {"e": 12}, "target": "i"}, "answer": {"steps": [["q", "p + 13", "p + 22"], ["p", "b + 2", "b + 24"], ["b", "w + 9", "w + 33"], ["w", "l + 4", "l + 37"], ["l", "e + 4", "e + 41"], ["e", 12, "53"]], "target_var_name": "i", "target_value": 53, "value_dict": {"e": 12}, "is_reverse": true}}
| 3,596
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = y + 14; g = f + 7; y = x + 14; q = p + 13; i = q + 9; p = b + 2; e = 12; w = l + 4; f = e + 20; l = e + 4; s = g + 10; b = w + 9; x = s + 11. If e = 12, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = p + 13 to i, which gives i = p + 22.\n2. Substitute p = b + 2 to i, which gives i = b + 24.\n3. Substitute b = w + 9 to i, which gives i = w + 33.\n4. Substitute w = l + 4 to i, which gives i = l + 37.\n5. Substitute l = e + 4 to i, which gives i = e + 41.\n6. Substitute e = 12 to i, which gives i = 53.\n\nThus, the final answer is i = \\boxed{53}.",
"index": 3596,
"question": "Consider a system of variables where each variable is defined as follows: o = y + 14; g = f + 7; y = x + 14; q = p + 13; i = q + 9; p = b + 2; e = 12; w = l + 4; f = e + 20; l = e + 4; s = g + 10; b = w + 9; x = s + 11. If e = 12, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"y": "e + 18", "v": "y + 2", "f": "v + 8", "a": "f + 9", "z": "a + 18", "h": "z + 19", "t": "e + 4", "w": "t + 18", "b": "w + 12", "q": "b + 20", "o": "q + 15", "u": "o + 17", "e": 1}, "premises": {"e": 1}, "target": "h"}, "answer": {"steps": [["z", "a + 18", "a + 37"], ["a", "f + 9", "f + 46"], ["f", "v + 8", "v + 54"], ["v", "y + 2", "y + 56"], ["y", "e + 18", "e + 74"], ["e", 1, "75"]], "target_var_name": "h", "target_value": 75, "value_dict": {"e": 1}, "is_reverse": true}}
| 3,597
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = z + 19; a = f + 9; o = q + 15; e = 1; z = a + 18; y = e + 18; u = o + 17; b = w + 12; q = b + 20; t = e + 4; f = v + 8; v = y + 2; w = t + 18. If e = 1, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = a + 18 to h, which gives h = a + 37.\n2. Substitute a = f + 9 to h, which gives h = f + 46.\n3. Substitute f = v + 8 to h, which gives h = v + 54.\n4. Substitute v = y + 2 to h, which gives h = y + 56.\n5. Substitute y = e + 18 to h, which gives h = e + 74.\n6. Substitute e = 1 to h, which gives h = 75.\n\nThus, the final answer is h = \\boxed{75}.",
"index": 3597,
"question": "Consider a system of variables where each variable is defined as follows: h = z + 19; a = f + 9; o = q + 15; e = 1; z = a + 18; y = e + 18; u = o + 17; b = w + 12; q = b + 20; t = e + 4; f = v + 8; v = y + 2; w = t + 18. If e = 1, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"n": "j + 5", "o": "n + 10", "z": "o + 19", "x": "z + 2", "e": "x + 15", "q": "e + 1", "f": "j + 1", "g": "f + 20", "i": "g + 14", "h": "i + 5", "w": "h + 14", "v": "w + 12", "j": 18}, "premises": {"j": 18}, "target": "q"}, "answer": {"steps": [["e", "x + 15", "x + 16"], ["x", "z + 2", "z + 18"], ["z", "o + 19", "o + 37"], ["o", "n + 10", "n + 47"], ["n", "j + 5", "j + 52"], ["j", 18, "70"]], "target_var_name": "q", "target_value": 70, "value_dict": {"j": 18}, "is_reverse": true}}
| 3,598
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = o + 19; o = n + 10; w = h + 14; n = j + 5; e = x + 15; h = i + 5; v = w + 12; x = z + 2; i = g + 14; j = 18; q = e + 1; f = j + 1; g = f + 20. Given that j = 18, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = x + 15 to q, which gives q = x + 16.\n2. Substitute x = z + 2 to q, which gives q = z + 18.\n3. Substitute z = o + 19 to q, which gives q = o + 37.\n4. Substitute o = n + 10 to q, which gives q = n + 47.\n5. Substitute n = j + 5 to q, which gives q = j + 52.\n6. Substitute j = 18 to q, which gives q = 70.\n\nThus, the final answer is q = \\boxed{70}.",
"index": 3598,
"question": "Suppose a collection of variables is related by the following definitions: z = o + 19; o = n + 10; w = h + 14; n = j + 5; e = x + 15; h = i + 5; v = w + 12; x = z + 2; i = g + 14; j = 18; q = e + 1; f = j + 1; g = f + 20. Given that j = 18, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"r": "w + 20", "x": "r + 17", "t": "x + 19", "f": "t + 6", "h": "f + 5", "y": "h + 12", "c": "w + 10", "g": "c + 14", "q": "g + 5", "e": "q + 7", "o": "e + 1", "s": "o + 1", "w": 2}, "premises": {"w": 2}, "target": "y"}, "answer": {"steps": [["h", "f + 5", "f + 17"], ["f", "t + 6", "t + 23"], ["t", "x + 19", "x + 42"], ["x", "r + 17", "r + 59"], ["r", "w + 20", "w + 79"], ["w", 2, "81"]], "target_var_name": "y", "target_value": 81, "value_dict": {"w": 2}, "is_reverse": true}}
| 3,599
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = q + 7; r = w + 20; x = r + 17; q = g + 5; y = h + 12; g = c + 14; c = w + 10; f = t + 6; o = e + 1; s = o + 1; w = 2; t = x + 19; h = f + 5. Given that w = 2, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = f + 5 to y, which gives y = f + 17.\n2. Substitute f = t + 6 to y, which gives y = t + 23.\n3. Substitute t = x + 19 to y, which gives y = x + 42.\n4. Substitute x = r + 17 to y, which gives y = r + 59.\n5. Substitute r = w + 20 to y, which gives y = w + 79.\n6. Substitute w = 2 to y, which gives y = 81.\n\nThus, the final answer is y = \\boxed{81}.",
"index": 3599,
"question": "Suppose a collection of variables is related by the following definitions: e = q + 7; r = w + 20; x = r + 17; q = g + 5; y = h + 12; g = c + 14; c = w + 10; f = t + 6; o = e + 1; s = o + 1; w = 2; t = x + 19; h = f + 5. Given that w = 2, find the value of y.",
"split": "train"
}
|
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