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25.6k
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stringclasses 1
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listlengths 1
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dict | extra_info
dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"g": "p + 5", "z": "g + 5", "r": "z + 4", "s": "r + 18", "k": "s + 17", "y": "k + 18", "m": "p + 14", "i": "m + 20", "n": "i + 8", "j": "n + 20", "a": "j + 9", "c": "a + 19", "p": 1}, "premises": {"p": 1}, "target": "y"}, "answer": {"steps": [["k", "s + 17", "s + 35"], ["s", "r + 18", "r + 53"], ["r", "z + 4", "z + 57"], ["z", "g + 5", "g + 62"], ["g", "p + 5", "p + 67"], ["p", 1, "68"]], "target_var_name": "y", "target_value": 68, "value_dict": {"p": 1}, "is_reverse": true}}
| 1,700
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = a + 19; z = g + 5; y = k + 18; r = z + 4; a = j + 9; m = p + 14; s = r + 18; g = p + 5; p = 1; k = s + 17; j = n + 20; i = m + 20; n = i + 8. If p = 1, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = s + 17 to y, which gives y = s + 35.\n2. Substitute s = r + 18 to y, which gives y = r + 53.\n3. Substitute r = z + 4 to y, which gives y = z + 57.\n4. Substitute z = g + 5 to y, which gives y = g + 62.\n5. Substitute g = p + 5 to y, which gives y = p + 67.\n6. Substitute p = 1 to y, which gives y = 68.\n\nThus, the final answer is y = \\boxed{68}.",
"index": 1700,
"question": "Consider a system of variables where each variable is defined as follows: c = a + 19; z = g + 5; y = k + 18; r = z + 4; a = j + 9; m = p + 14; s = r + 18; g = p + 5; p = 1; k = s + 17; j = n + 20; i = m + 20; n = i + 8. If p = 1, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"y": "j + 2", "u": "y + 20", "r": "u + 13", "s": "r + 3", "n": "s + 18", "q": "n + 13", "f": "j + 12", "d": "f + 3", "e": "d + 6", "p": "e + 18", "l": "p + 20", "v": "l + 1", "j": 12}, "premises": {"j": 12}, "target": "q"}, "answer": {"steps": [["n", "s + 18", "s + 31"], ["s", "r + 3", "r + 34"], ["r", "u + 13", "u + 47"], ["u", "y + 20", "y + 67"], ["y", "j + 2", "j + 69"], ["j", 12, "81"]], "target_var_name": "q", "target_value": 81, "value_dict": {"j": 12}, "is_reverse": true}}
| 1,701
| 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 = n + 13; y = j + 2; l = p + 20; v = l + 1; n = s + 18; s = r + 3; p = e + 18; e = d + 6; j = 12; f = j + 12; d = f + 3; r = u + 13; u = y + 20. If j = 12, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = s + 18 to q, which gives q = s + 31.\n2. Substitute s = r + 3 to q, which gives q = r + 34.\n3. Substitute r = u + 13 to q, which gives q = u + 47.\n4. Substitute u = y + 20 to q, which gives q = y + 67.\n5. Substitute y = j + 2 to q, which gives q = j + 69.\n6. Substitute j = 12 to q, which gives q = 81.\n\nThus, the final answer is q = \\boxed{81}.",
"index": 1701,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = n + 13; y = j + 2; l = p + 20; v = l + 1; n = s + 18; s = r + 3; p = e + 18; e = d + 6; j = 12; f = j + 12; d = f + 3; r = u + 13; u = y + 20. If j = 12, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"e": "a + 16", "v": "e + 12", "u": "v + 20", "o": "u + 12", "s": "o + 15", "m": "s + 3", "x": "a + 19", "i": "x + 11", "n": "i + 20", "z": "n + 18", "h": "z + 16", "c": "h + 11", "a": 4}, "premises": {"a": 4}, "target": "m"}, "answer": {"steps": [["s", "o + 15", "o + 18"], ["o", "u + 12", "u + 30"], ["u", "v + 20", "v + 50"], ["v", "e + 12", "e + 62"], ["e", "a + 16", "a + 78"], ["a", 4, "82"]], "target_var_name": "m", "target_value": 82, "value_dict": {"a": 4}, "is_reverse": true}}
| 1,702
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = s + 3; h = z + 16; n = i + 20; a = 4; s = o + 15; o = u + 12; e = a + 16; x = a + 19; z = n + 18; u = v + 20; v = e + 12; c = h + 11; i = x + 11. If a = 4, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = o + 15 to m, which gives m = o + 18.\n2. Substitute o = u + 12 to m, which gives m = u + 30.\n3. Substitute u = v + 20 to m, which gives m = v + 50.\n4. Substitute v = e + 12 to m, which gives m = e + 62.\n5. Substitute e = a + 16 to m, which gives m = a + 78.\n6. Substitute a = 4 to m, which gives m = 82.\n\nThus, the final answer is m = \\boxed{82}.",
"index": 1702,
"question": "Consider a system of variables where each variable is defined as follows: m = s + 3; h = z + 16; n = i + 20; a = 4; s = o + 15; o = u + 12; e = a + 16; x = a + 19; z = n + 18; u = v + 20; v = e + 12; c = h + 11; i = x + 11. If a = 4, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"w": "u + 2", "y": "w + 10", "z": "y + 16", "e": "z + 1", "v": "e + 7", "q": "v + 8", "x": "u + 17", "i": "x + 6", "d": "i + 1", "s": "d + 16", "n": "s + 19", "j": "n + 18", "u": 17}, "premises": {"u": 17}, "target": "q"}, "answer": {"steps": [["v", "e + 7", "e + 15"], ["e", "z + 1", "z + 16"], ["z", "y + 16", "y + 32"], ["y", "w + 10", "w + 42"], ["w", "u + 2", "u + 44"], ["u", 17, "61"]], "target_var_name": "q", "target_value": 61, "value_dict": {"u": 17}, "is_reverse": true}}
| 1,703
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = x + 6; s = d + 16; j = n + 18; d = i + 1; q = v + 8; z = y + 16; y = w + 10; e = z + 1; w = u + 2; n = s + 19; u = 17; x = u + 17; v = e + 7. If u = 17, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = e + 7 to q, which gives q = e + 15.\n2. Substitute e = z + 1 to q, which gives q = z + 16.\n3. Substitute z = y + 16 to q, which gives q = y + 32.\n4. Substitute y = w + 10 to q, which gives q = w + 42.\n5. Substitute w = u + 2 to q, which gives q = u + 44.\n6. Substitute u = 17 to q, which gives q = 61.\n\nThus, the final answer is q = \\boxed{61}.",
"index": 1703,
"question": "Consider a system of variables where each variable is defined as follows: i = x + 6; s = d + 16; j = n + 18; d = i + 1; q = v + 8; z = y + 16; y = w + 10; e = z + 1; w = u + 2; n = s + 19; u = 17; x = u + 17; v = e + 7. If u = 17, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"c": "f + 12", "e": "c + 14", "p": "e + 4", "o": "p + 9", "a": "o + 14", "x": "a + 19", "v": "f + 14", "i": "v + 5", "w": "i + 13", "g": "w + 14", "k": "g + 11", "u": "k + 12", "f": 18}, "premises": {"f": 18}, "target": "x"}, "answer": {"steps": [["a", "o + 14", "o + 33"], ["o", "p + 9", "p + 42"], ["p", "e + 4", "e + 46"], ["e", "c + 14", "c + 60"], ["c", "f + 12", "f + 72"], ["f", 18, "90"]], "target_var_name": "x", "target_value": 90, "value_dict": {"f": 18}, "is_reverse": true}}
| 1,704
| 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; u = k + 12; c = f + 12; a = o + 14; p = e + 4; f = 18; x = a + 19; i = v + 5; k = g + 11; w = i + 13; g = w + 14; v = f + 14; e = c + 14. Given that f = 18, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = o + 14 to x, which gives x = o + 33.\n2. Substitute o = p + 9 to x, which gives x = p + 42.\n3. Substitute p = e + 4 to x, which gives x = e + 46.\n4. Substitute e = c + 14 to x, which gives x = c + 60.\n5. Substitute c = f + 12 to x, which gives x = f + 72.\n6. Substitute f = 18 to x, which gives x = 90.\n\nThus, the final answer is x = \\boxed{90}.",
"index": 1704,
"question": "Suppose a collection of variables is related by the following definitions: o = p + 9; u = k + 12; c = f + 12; a = o + 14; p = e + 4; f = 18; x = a + 19; i = v + 5; k = g + 11; w = i + 13; g = w + 14; v = f + 14; e = c + 14. Given that f = 18, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"w": "d + 3", "x": "w + 6", "e": "x + 3", "c": "e + 13", "s": "c + 14", "m": "s + 9", "z": "d + 6", "a": "z + 8", "l": "a + 16", "r": "l + 20", "n": "r + 15", "y": "n + 11", "d": 13}, "premises": {"d": 13}, "target": "m"}, "answer": {"steps": [["s", "c + 14", "c + 23"], ["c", "e + 13", "e + 36"], ["e", "x + 3", "x + 39"], ["x", "w + 6", "w + 45"], ["w", "d + 3", "d + 48"], ["d", 13, "61"]], "target_var_name": "m", "target_value": 61, "value_dict": {"d": 13}, "is_reverse": true}}
| 1,705
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = a + 16; e = x + 3; z = d + 6; c = e + 13; r = l + 20; n = r + 15; y = n + 11; m = s + 9; d = 13; s = c + 14; x = w + 6; w = d + 3; a = z + 8. If d = 13, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = c + 14 to m, which gives m = c + 23.\n2. Substitute c = e + 13 to m, which gives m = e + 36.\n3. Substitute e = x + 3 to m, which gives m = x + 39.\n4. Substitute x = w + 6 to m, which gives m = w + 45.\n5. Substitute w = d + 3 to m, which gives m = d + 48.\n6. Substitute d = 13 to m, which gives m = 61.\n\nThus, the final answer is m = \\boxed{61}.",
"index": 1705,
"question": "Consider a system of variables where each variable is defined as follows: l = a + 16; e = x + 3; z = d + 6; c = e + 13; r = l + 20; n = r + 15; y = n + 11; m = s + 9; d = 13; s = c + 14; x = w + 6; w = d + 3; a = z + 8. If d = 13, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"j": "m + 18", "l": "j + 11", "v": "l + 10", "b": "v + 12", "t": "b + 19", "p": "t + 5", "s": "m + 5", "d": "s + 20", "a": "d + 19", "e": "a + 13", "n": "e + 12", "f": "n + 17", "m": 16}, "premises": {"m": 16}, "target": "p"}, "answer": {"steps": [["t", "b + 19", "b + 24"], ["b", "v + 12", "v + 36"], ["v", "l + 10", "l + 46"], ["l", "j + 11", "j + 57"], ["j", "m + 18", "m + 75"], ["m", 16, "91"]], "target_var_name": "p", "target_value": 91, "value_dict": {"m": 16}, "is_reverse": true}}
| 1,706
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = n + 17; v = l + 10; e = a + 13; a = d + 19; m = 16; t = b + 19; n = e + 12; s = m + 5; p = t + 5; d = s + 20; j = m + 18; l = j + 11; b = v + 12. Given that m = 16, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = b + 19 to p, which gives p = b + 24.\n2. Substitute b = v + 12 to p, which gives p = v + 36.\n3. Substitute v = l + 10 to p, which gives p = l + 46.\n4. Substitute l = j + 11 to p, which gives p = j + 57.\n5. Substitute j = m + 18 to p, which gives p = m + 75.\n6. Substitute m = 16 to p, which gives p = 91.\n\nThus, the final answer is p = \\boxed{91}.",
"index": 1706,
"question": "Suppose a collection of variables is related by the following definitions: f = n + 17; v = l + 10; e = a + 13; a = d + 19; m = 16; t = b + 19; n = e + 12; s = m + 5; p = t + 5; d = s + 20; j = m + 18; l = j + 11; b = v + 12. Given that m = 16, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"n": "y + 1", "j": "n + 6", "w": "j + 12", "x": "w + 5", "b": "x + 10", "f": "b + 8", "a": "y + 10", "q": "a + 14", "u": "q + 11", "p": "u + 18", "o": "p + 8", "i": "o + 15", "y": 1}, "premises": {"y": 1}, "target": "f"}, "answer": {"steps": [["b", "x + 10", "x + 18"], ["x", "w + 5", "w + 23"], ["w", "j + 12", "j + 35"], ["j", "n + 6", "n + 41"], ["n", "y + 1", "y + 42"], ["y", 1, "43"]], "target_var_name": "f", "target_value": 43, "value_dict": {"y": 1}, "is_reverse": true}}
| 1,707
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = o + 15; y = 1; b = x + 10; w = j + 12; n = y + 1; q = a + 14; f = b + 8; u = q + 11; j = n + 6; x = w + 5; p = u + 18; a = y + 10; o = p + 8. Given that y = 1, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 43,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = x + 10 to f, which gives f = x + 18.\n2. Substitute x = w + 5 to f, which gives f = w + 23.\n3. Substitute w = j + 12 to f, which gives f = j + 35.\n4. Substitute j = n + 6 to f, which gives f = n + 41.\n5. Substitute n = y + 1 to f, which gives f = y + 42.\n6. Substitute y = 1 to f, which gives f = 43.\n\nThus, the final answer is f = \\boxed{43}.",
"index": 1707,
"question": "Suppose a collection of variables is related by the following definitions: i = o + 15; y = 1; b = x + 10; w = j + 12; n = y + 1; q = a + 14; f = b + 8; u = q + 11; j = n + 6; x = w + 5; p = u + 18; a = y + 10; o = p + 8. Given that y = 1, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"t": "n + 19", "k": "t + 18", "v": "k + 1", "c": "v + 19", "o": "c + 3", "x": "o + 5", "g": "n + 19", "w": "g + 16", "d": "w + 9", "j": "d + 18", "p": "j + 9", "f": "p + 20", "n": 10}, "premises": {"n": 10}, "target": "x"}, "answer": {"steps": [["o", "c + 3", "c + 8"], ["c", "v + 19", "v + 27"], ["v", "k + 1", "k + 28"], ["k", "t + 18", "t + 46"], ["t", "n + 19", "n + 65"], ["n", 10, "75"]], "target_var_name": "x", "target_value": 75, "value_dict": {"n": 10}, "is_reverse": true}}
| 1,708
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = t + 18; d = w + 9; j = d + 18; g = n + 19; t = n + 19; p = j + 9; f = p + 20; c = v + 19; x = o + 5; v = k + 1; n = 10; o = c + 3; w = g + 16. If n = 10, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = c + 3 to x, which gives x = c + 8.\n2. Substitute c = v + 19 to x, which gives x = v + 27.\n3. Substitute v = k + 1 to x, which gives x = k + 28.\n4. Substitute k = t + 18 to x, which gives x = t + 46.\n5. Substitute t = n + 19 to x, which gives x = n + 65.\n6. Substitute n = 10 to x, which gives x = 75.\n\nThus, the final answer is x = \\boxed{75}.",
"index": 1708,
"question": "Consider a system of variables where each variable is defined as follows: k = t + 18; d = w + 9; j = d + 18; g = n + 19; t = n + 19; p = j + 9; f = p + 20; c = v + 19; x = o + 5; v = k + 1; n = 10; o = c + 3; w = g + 16. If n = 10, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"z": "y + 12", "f": "z + 16", "m": "f + 16", "o": "m + 19", "g": "o + 18", "q": "g + 13", "c": "y + 4", "p": "c + 1", "d": "p + 19", "k": "d + 20", "l": "k + 10", "r": "l + 10", "y": 9}, "premises": {"y": 9}, "target": "q"}, "answer": {"steps": [["g", "o + 18", "o + 31"], ["o", "m + 19", "m + 50"], ["m", "f + 16", "f + 66"], ["f", "z + 16", "z + 82"], ["z", "y + 12", "y + 94"], ["y", 9, "103"]], "target_var_name": "q", "target_value": 103, "value_dict": {"y": 9}, "is_reverse": true}}
| 1,709
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = m + 19; r = l + 10; y = 9; m = f + 16; d = p + 19; p = c + 1; g = o + 18; l = k + 10; q = g + 13; k = d + 20; c = y + 4; f = z + 16; z = y + 12. If y = 9, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 103,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = o + 18 to q, which gives q = o + 31.\n2. Substitute o = m + 19 to q, which gives q = m + 50.\n3. Substitute m = f + 16 to q, which gives q = f + 66.\n4. Substitute f = z + 16 to q, which gives q = z + 82.\n5. Substitute z = y + 12 to q, which gives q = y + 94.\n6. Substitute y = 9 to q, which gives q = 103.\n\nThus, the final answer is q = \\boxed{103}.",
"index": 1709,
"question": "Consider a system of variables where each variable is defined as follows: o = m + 19; r = l + 10; y = 9; m = f + 16; d = p + 19; p = c + 1; g = o + 18; l = k + 10; q = g + 13; k = d + 20; c = y + 4; f = z + 16; z = y + 12. If y = 9, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"e": "h + 3", "x": "e + 1", "q": "x + 6", "v": "q + 18", "p": "v + 16", "d": "p + 20", "c": "h + 10", "m": "c + 1", "z": "m + 1", "a": "z + 9", "b": "a + 4", "f": "b + 2", "h": 1}, "premises": {"h": 1}, "target": "d"}, "answer": {"steps": [["p", "v + 16", "v + 36"], ["v", "q + 18", "q + 54"], ["q", "x + 6", "x + 60"], ["x", "e + 1", "e + 61"], ["e", "h + 3", "h + 64"], ["h", 1, "65"]], "target_var_name": "d", "target_value": 65, "value_dict": {"h": 1}, "is_reverse": true}}
| 1,710
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = z + 9; e = h + 3; q = x + 6; f = b + 2; z = m + 1; v = q + 18; p = v + 16; m = c + 1; d = p + 20; c = h + 10; b = a + 4; h = 1; x = e + 1. Given that h = 1, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = v + 16 to d, which gives d = v + 36.\n2. Substitute v = q + 18 to d, which gives d = q + 54.\n3. Substitute q = x + 6 to d, which gives d = x + 60.\n4. Substitute x = e + 1 to d, which gives d = e + 61.\n5. Substitute e = h + 3 to d, which gives d = h + 64.\n6. Substitute h = 1 to d, which gives d = 65.\n\nThus, the final answer is d = \\boxed{65}.",
"index": 1710,
"question": "Suppose a collection of variables is related by the following definitions: a = z + 9; e = h + 3; q = x + 6; f = b + 2; z = m + 1; v = q + 18; p = v + 16; m = c + 1; d = p + 20; c = h + 10; b = a + 4; h = 1; x = e + 1. Given that h = 1, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"f": "x + 15", "t": "f + 15", "a": "t + 1", "o": "a + 11", "y": "o + 7", "n": "y + 2", "h": "x + 13", "w": "h + 1", "c": "w + 8", "q": "c + 8", "l": "q + 4", "r": "l + 20", "x": 15}, "premises": {"x": 15}, "target": "n"}, "answer": {"steps": [["y", "o + 7", "o + 9"], ["o", "a + 11", "a + 20"], ["a", "t + 1", "t + 21"], ["t", "f + 15", "f + 36"], ["f", "x + 15", "x + 51"], ["x", 15, "66"]], "target_var_name": "n", "target_value": 66, "value_dict": {"x": 15}, "is_reverse": true}}
| 1,711
| 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 = c + 8; a = t + 1; t = f + 15; l = q + 4; n = y + 2; o = a + 11; f = x + 15; r = l + 20; y = o + 7; x = 15; c = w + 8; w = h + 1; h = x + 13. If x = 15, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = o + 7 to n, which gives n = o + 9.\n2. Substitute o = a + 11 to n, which gives n = a + 20.\n3. Substitute a = t + 1 to n, which gives n = t + 21.\n4. Substitute t = f + 15 to n, which gives n = f + 36.\n5. Substitute f = x + 15 to n, which gives n = x + 51.\n6. Substitute x = 15 to n, which gives n = 66.\n\nThus, the final answer is n = \\boxed{66}.",
"index": 1711,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = c + 8; a = t + 1; t = f + 15; l = q + 4; n = y + 2; o = a + 11; f = x + 15; r = l + 20; y = o + 7; x = 15; c = w + 8; w = h + 1; h = x + 13. If x = 15, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"i": "v + 5", "u": "i + 2", "l": "u + 7", "o": "l + 19", "n": "o + 1", "r": "n + 9", "p": "v + 13", "h": "p + 7", "z": "h + 5", "q": "z + 15", "j": "q + 6", "s": "j + 14", "v": 3}, "premises": {"v": 3}, "target": "r"}, "answer": {"steps": [["n", "o + 1", "o + 10"], ["o", "l + 19", "l + 29"], ["l", "u + 7", "u + 36"], ["u", "i + 2", "i + 38"], ["i", "v + 5", "v + 43"], ["v", 3, "46"]], "target_var_name": "r", "target_value": 46, "value_dict": {"v": 3}, "is_reverse": true}}
| 1,712
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = j + 14; r = n + 9; j = q + 6; h = p + 7; v = 3; p = v + 13; l = u + 7; i = v + 5; z = h + 5; n = o + 1; q = z + 15; u = i + 2; o = l + 19. If v = 3, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 46,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = o + 1 to r, which gives r = o + 10.\n2. Substitute o = l + 19 to r, which gives r = l + 29.\n3. Substitute l = u + 7 to r, which gives r = u + 36.\n4. Substitute u = i + 2 to r, which gives r = i + 38.\n5. Substitute i = v + 5 to r, which gives r = v + 43.\n6. Substitute v = 3 to r, which gives r = 46.\n\nThus, the final answer is r = \\boxed{46}.",
"index": 1712,
"question": "Consider a system of variables where each variable is defined as follows: s = j + 14; r = n + 9; j = q + 6; h = p + 7; v = 3; p = v + 13; l = u + 7; i = v + 5; z = h + 5; n = o + 1; q = z + 15; u = i + 2; o = l + 19. If v = 3, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"g": "q + 3", "d": "g + 7", "i": "d + 11", "x": "i + 15", "k": "x + 7", "u": "k + 6", "v": "q + 9", "e": "v + 14", "a": "e + 9", "b": "a + 20", "f": "b + 18", "l": "f + 16", "q": 3}, "premises": {"q": 3}, "target": "u"}, "answer": {"steps": [["k", "x + 7", "x + 13"], ["x", "i + 15", "i + 28"], ["i", "d + 11", "d + 39"], ["d", "g + 7", "g + 46"], ["g", "q + 3", "q + 49"], ["q", 3, "52"]], "target_var_name": "u", "target_value": 52, "value_dict": {"q": 3}, "is_reverse": true}}
| 1,713
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = v + 14; u = k + 6; x = i + 15; f = b + 18; v = q + 9; i = d + 11; a = e + 9; d = g + 7; k = x + 7; b = a + 20; g = q + 3; l = f + 16; q = 3. If q = 3, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 52,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = x + 7 to u, which gives u = x + 13.\n2. Substitute x = i + 15 to u, which gives u = i + 28.\n3. Substitute i = d + 11 to u, which gives u = d + 39.\n4. Substitute d = g + 7 to u, which gives u = g + 46.\n5. Substitute g = q + 3 to u, which gives u = q + 49.\n6. Substitute q = 3 to u, which gives u = 52.\n\nThus, the final answer is u = \\boxed{52}.",
"index": 1713,
"question": "Consider a system of variables where each variable is defined as follows: e = v + 14; u = k + 6; x = i + 15; f = b + 18; v = q + 9; i = d + 11; a = e + 9; d = g + 7; k = x + 7; b = a + 20; g = q + 3; l = f + 16; q = 3. If q = 3, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"w": "n + 8", "j": "w + 15", "x": "j + 9", "i": "x + 1", "h": "i + 20", "q": "h + 20", "o": "n + 11", "l": "o + 10", "a": "l + 1", "p": "a + 13", "v": "p + 8", "y": "v + 16", "n": 12}, "premises": {"n": 12}, "target": "q"}, "answer": {"steps": [["h", "i + 20", "i + 40"], ["i", "x + 1", "x + 41"], ["x", "j + 9", "j + 50"], ["j", "w + 15", "w + 65"], ["w", "n + 8", "n + 73"], ["n", 12, "85"]], "target_var_name": "q", "target_value": 85, "value_dict": {"n": 12}, "is_reverse": true}}
| 1,714
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = n + 11; w = n + 8; a = l + 1; x = j + 9; v = p + 8; q = h + 20; y = v + 16; h = i + 20; p = a + 13; i = x + 1; l = o + 10; n = 12; j = w + 15. If n = 12, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = i + 20 to q, which gives q = i + 40.\n2. Substitute i = x + 1 to q, which gives q = x + 41.\n3. Substitute x = j + 9 to q, which gives q = j + 50.\n4. Substitute j = w + 15 to q, which gives q = w + 65.\n5. Substitute w = n + 8 to q, which gives q = n + 73.\n6. Substitute n = 12 to q, which gives q = 85.\n\nThus, the final answer is q = \\boxed{85}.",
"index": 1714,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = n + 11; w = n + 8; a = l + 1; x = j + 9; v = p + 8; q = h + 20; y = v + 16; h = i + 20; p = a + 13; i = x + 1; l = o + 10; n = 12; j = w + 15. If n = 12, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"u": "s + 17", "q": "u + 9", "r": "q + 3", "l": "r + 2", "y": "l + 9", "f": "y + 16", "m": "s + 17", "d": "m + 15", "k": "d + 2", "e": "k + 1", "w": "e + 8", "z": "w + 15", "s": 9}, "premises": {"s": 9}, "target": "f"}, "answer": {"steps": [["y", "l + 9", "l + 25"], ["l", "r + 2", "r + 27"], ["r", "q + 3", "q + 30"], ["q", "u + 9", "u + 39"], ["u", "s + 17", "s + 56"], ["s", 9, "65"]], "target_var_name": "f", "target_value": 65, "value_dict": {"s": 9}, "is_reverse": true}}
| 1,715
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = m + 15; q = u + 9; s = 9; w = e + 8; u = s + 17; m = s + 17; k = d + 2; f = y + 16; l = r + 2; z = w + 15; e = k + 1; r = q + 3; y = l + 9. If s = 9, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = l + 9 to f, which gives f = l + 25.\n2. Substitute l = r + 2 to f, which gives f = r + 27.\n3. Substitute r = q + 3 to f, which gives f = q + 30.\n4. Substitute q = u + 9 to f, which gives f = u + 39.\n5. Substitute u = s + 17 to f, which gives f = s + 56.\n6. Substitute s = 9 to f, which gives f = 65.\n\nThus, the final answer is f = \\boxed{65}.",
"index": 1715,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = m + 15; q = u + 9; s = 9; w = e + 8; u = s + 17; m = s + 17; k = d + 2; f = y + 16; l = r + 2; z = w + 15; e = k + 1; r = q + 3; y = l + 9. If s = 9, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"c": "f + 19", "u": "c + 5", "r": "u + 4", "b": "r + 17", "y": "b + 17", "z": "y + 7", "d": "f + 3", "j": "d + 16", "m": "j + 12", "a": "m + 16", "l": "a + 20", "o": "l + 9", "f": 19}, "premises": {"f": 19}, "target": "z"}, "answer": {"steps": [["y", "b + 17", "b + 24"], ["b", "r + 17", "r + 41"], ["r", "u + 4", "u + 45"], ["u", "c + 5", "c + 50"], ["c", "f + 19", "f + 69"], ["f", 19, "88"]], "target_var_name": "z", "target_value": 88, "value_dict": {"f": 19}, "is_reverse": true}}
| 1,716
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = f + 3; c = f + 19; j = d + 16; f = 19; u = c + 5; a = m + 16; m = j + 12; o = l + 9; l = a + 20; z = y + 7; y = b + 17; b = r + 17; r = u + 4. If f = 19, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = b + 17 to z, which gives z = b + 24.\n2. Substitute b = r + 17 to z, which gives z = r + 41.\n3. Substitute r = u + 4 to z, which gives z = u + 45.\n4. Substitute u = c + 5 to z, which gives z = c + 50.\n5. Substitute c = f + 19 to z, which gives z = f + 69.\n6. Substitute f = 19 to z, which gives z = 88.\n\nThus, the final answer is z = \\boxed{88}.",
"index": 1716,
"question": "Consider a system of variables where each variable is defined as follows: d = f + 3; c = f + 19; j = d + 16; f = 19; u = c + 5; a = m + 16; m = j + 12; o = l + 9; l = a + 20; z = y + 7; y = b + 17; b = r + 17; r = u + 4. If f = 19, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"q": "w + 8", "e": "q + 10", "g": "e + 16", "z": "g + 19", "r": "z + 6", "h": "r + 12", "x": "w + 13", "v": "x + 16", "u": "v + 12", "l": "u + 17", "c": "l + 17", "d": "c + 17", "w": 9}, "premises": {"w": 9}, "target": "h"}, "answer": {"steps": [["r", "z + 6", "z + 18"], ["z", "g + 19", "g + 37"], ["g", "e + 16", "e + 53"], ["e", "q + 10", "q + 63"], ["q", "w + 8", "w + 71"], ["w", 9, "80"]], "target_var_name": "h", "target_value": 80, "value_dict": {"w": 9}, "is_reverse": true}}
| 1,717
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = l + 17; v = x + 16; z = g + 19; w = 9; g = e + 16; e = q + 10; r = z + 6; d = c + 17; q = w + 8; l = u + 17; u = v + 12; h = r + 12; x = w + 13. If w = 9, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = z + 6 to h, which gives h = z + 18.\n2. Substitute z = g + 19 to h, which gives h = g + 37.\n3. Substitute g = e + 16 to h, which gives h = e + 53.\n4. Substitute e = q + 10 to h, which gives h = q + 63.\n5. Substitute q = w + 8 to h, which gives h = w + 71.\n6. Substitute w = 9 to h, which gives h = 80.\n\nThus, the final answer is h = \\boxed{80}.",
"index": 1717,
"question": "Consider a system of variables where each variable is defined as follows: c = l + 17; v = x + 16; z = g + 19; w = 9; g = e + 16; e = q + 10; r = z + 6; d = c + 17; q = w + 8; l = u + 17; u = v + 12; h = r + 12; x = w + 13. If w = 9, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"a": "v + 7", "g": "a + 6", "l": "g + 2", "c": "l + 18", "j": "c + 4", "z": "j + 15", "r": "v + 5", "d": "r + 16", "p": "d + 3", "n": "p + 9", "i": "n + 2", "h": "i + 8", "v": 6}, "premises": {"v": 6}, "target": "z"}, "answer": {"steps": [["j", "c + 4", "c + 19"], ["c", "l + 18", "l + 37"], ["l", "g + 2", "g + 39"], ["g", "a + 6", "a + 45"], ["a", "v + 7", "v + 52"], ["v", 6, "58"]], "target_var_name": "z", "target_value": 58, "value_dict": {"v": 6}, "is_reverse": true}}
| 1,718
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = j + 15; p = d + 3; d = r + 16; j = c + 4; i = n + 2; c = l + 18; l = g + 2; r = v + 5; n = p + 9; g = a + 6; h = i + 8; a = v + 7; v = 6. If v = 6, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = c + 4 to z, which gives z = c + 19.\n2. Substitute c = l + 18 to z, which gives z = l + 37.\n3. Substitute l = g + 2 to z, which gives z = g + 39.\n4. Substitute g = a + 6 to z, which gives z = a + 45.\n5. Substitute a = v + 7 to z, which gives z = v + 52.\n6. Substitute v = 6 to z, which gives z = 58.\n\nThus, the final answer is z = \\boxed{58}.",
"index": 1718,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = j + 15; p = d + 3; d = r + 16; j = c + 4; i = n + 2; c = l + 18; l = g + 2; r = v + 5; n = p + 9; g = a + 6; h = i + 8; a = v + 7; v = 6. If v = 6, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"b": "k + 20", "w": "b + 6", "j": "w + 18", "r": "j + 11", "x": "r + 12", "m": "x + 9", "n": "k + 16", "i": "n + 14", "y": "i + 10", "s": "y + 3", "t": "s + 19", "q": "t + 1", "k": 10}, "premises": {"k": 10}, "target": "m"}, "answer": {"steps": [["x", "r + 12", "r + 21"], ["r", "j + 11", "j + 32"], ["j", "w + 18", "w + 50"], ["w", "b + 6", "b + 56"], ["b", "k + 20", "k + 76"], ["k", 10, "86"]], "target_var_name": "m", "target_value": 86, "value_dict": {"k": 10}, "is_reverse": true}}
| 1,719
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = s + 19; s = y + 3; k = 10; n = k + 16; b = k + 20; x = r + 12; r = j + 11; i = n + 14; y = i + 10; w = b + 6; j = w + 18; q = t + 1; m = x + 9. If k = 10, determine the 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 x = r + 12 to m, which gives m = r + 21.\n2. Substitute r = j + 11 to m, which gives m = j + 32.\n3. Substitute j = w + 18 to m, which gives m = w + 50.\n4. Substitute w = b + 6 to m, which gives m = b + 56.\n5. Substitute b = k + 20 to m, which gives m = k + 76.\n6. Substitute k = 10 to m, which gives m = 86.\n\nThus, the final answer is m = \\boxed{86}.",
"index": 1719,
"question": "Consider a system of variables where each variable is defined as follows: t = s + 19; s = y + 3; k = 10; n = k + 16; b = k + 20; x = r + 12; r = j + 11; i = n + 14; y = i + 10; w = b + 6; j = w + 18; q = t + 1; m = x + 9. If k = 10, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"z": "i + 19", "j": "z + 19", "p": "j + 20", "u": "p + 14", "g": "u + 8", "e": "g + 6", "l": "i + 7", "b": "l + 12", "f": "b + 10", "c": "f + 13", "q": "c + 19", "x": "q + 5", "i": 12}, "premises": {"i": 12}, "target": "e"}, "answer": {"steps": [["g", "u + 8", "u + 14"], ["u", "p + 14", "p + 28"], ["p", "j + 20", "j + 48"], ["j", "z + 19", "z + 67"], ["z", "i + 19", "i + 86"], ["i", 12, "98"]], "target_var_name": "e", "target_value": 98, "value_dict": {"i": 12}, "is_reverse": true}}
| 1,720
| 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 = j + 20; j = z + 19; g = u + 8; q = c + 19; b = l + 12; z = i + 19; l = i + 7; u = p + 14; x = q + 5; f = b + 10; c = f + 13; e = g + 6; i = 12. If i = 12, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 98,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = u + 8 to e, which gives e = u + 14.\n2. Substitute u = p + 14 to e, which gives e = p + 28.\n3. Substitute p = j + 20 to e, which gives e = j + 48.\n4. Substitute j = z + 19 to e, which gives e = z + 67.\n5. Substitute z = i + 19 to e, which gives e = i + 86.\n6. Substitute i = 12 to e, which gives e = 98.\n\nThus, the final answer is e = \\boxed{98}.",
"index": 1720,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = j + 20; j = z + 19; g = u + 8; q = c + 19; b = l + 12; z = i + 19; l = i + 7; u = p + 14; x = q + 5; f = b + 10; c = f + 13; e = g + 6; i = 12. If i = 12, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"p": "s + 13", "h": "p + 3", "r": "h + 18", "z": "r + 14", "q": "z + 5", "t": "q + 4", "o": "s + 5", "j": "o + 1", "b": "j + 18", "d": "b + 11", "w": "d + 10", "m": "w + 18", "s": 9}, "premises": {"s": 9}, "target": "t"}, "answer": {"steps": [["q", "z + 5", "z + 9"], ["z", "r + 14", "r + 23"], ["r", "h + 18", "h + 41"], ["h", "p + 3", "p + 44"], ["p", "s + 13", "s + 57"], ["s", 9, "66"]], "target_var_name": "t", "target_value": 66, "value_dict": {"s": 9}, "is_reverse": true}}
| 1,721
| 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 = b + 11; m = w + 18; o = s + 5; w = d + 10; z = r + 14; s = 9; q = z + 5; t = q + 4; p = s + 13; j = o + 1; h = p + 3; r = h + 18; b = j + 18. If s = 9, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = z + 5 to t, which gives t = z + 9.\n2. Substitute z = r + 14 to t, which gives t = r + 23.\n3. Substitute r = h + 18 to t, which gives t = h + 41.\n4. Substitute h = p + 3 to t, which gives t = p + 44.\n5. Substitute p = s + 13 to t, which gives t = s + 57.\n6. Substitute s = 9 to t, which gives t = 66.\n\nThus, the final answer is t = \\boxed{66}.",
"index": 1721,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = b + 11; m = w + 18; o = s + 5; w = d + 10; z = r + 14; s = 9; q = z + 5; t = q + 4; p = s + 13; j = o + 1; h = p + 3; r = h + 18; b = j + 18. If s = 9, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"k": "a + 13", "h": "k + 17", "g": "h + 17", "b": "g + 10", "s": "b + 19", "i": "s + 20", "n": "a + 15", "u": "n + 4", "o": "u + 3", "x": "o + 12", "l": "x + 6", "p": "l + 15", "a": 8}, "premises": {"a": 8}, "target": "i"}, "answer": {"steps": [["s", "b + 19", "b + 39"], ["b", "g + 10", "g + 49"], ["g", "h + 17", "h + 66"], ["h", "k + 17", "k + 83"], ["k", "a + 13", "a + 96"], ["a", 8, "104"]], "target_var_name": "i", "target_value": 104, "value_dict": {"a": 8}, "is_reverse": true}}
| 1,722
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = h + 17; o = u + 3; k = a + 13; b = g + 10; l = x + 6; s = b + 19; i = s + 20; a = 8; x = o + 12; p = l + 15; u = n + 4; h = k + 17; n = a + 15. If a = 8, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 104,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = b + 19 to i, which gives i = b + 39.\n2. Substitute b = g + 10 to i, which gives i = g + 49.\n3. Substitute g = h + 17 to i, which gives i = h + 66.\n4. Substitute h = k + 17 to i, which gives i = k + 83.\n5. Substitute k = a + 13 to i, which gives i = a + 96.\n6. Substitute a = 8 to i, which gives i = 104.\n\nThus, the final answer is i = \\boxed{104}.",
"index": 1722,
"question": "Consider a system of variables where each variable is defined as follows: g = h + 17; o = u + 3; k = a + 13; b = g + 10; l = x + 6; s = b + 19; i = s + 20; a = 8; x = o + 12; p = l + 15; u = n + 4; h = k + 17; n = a + 15. If a = 8, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"g": "r + 5", "v": "g + 12", "j": "v + 10", "y": "j + 8", "z": "y + 11", "w": "z + 9", "e": "r + 14", "k": "e + 20", "m": "k + 3", "o": "m + 14", "u": "o + 10", "n": "u + 19", "r": 10}, "premises": {"r": 10}, "target": "w"}, "answer": {"steps": [["z", "y + 11", "y + 20"], ["y", "j + 8", "j + 28"], ["j", "v + 10", "v + 38"], ["v", "g + 12", "g + 50"], ["g", "r + 5", "r + 55"], ["r", 10, "65"]], "target_var_name": "w", "target_value": 65, "value_dict": {"r": 10}, "is_reverse": true}}
| 1,723
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = r + 14; o = m + 14; m = k + 3; j = v + 10; n = u + 19; w = z + 9; g = r + 5; y = j + 8; u = o + 10; v = g + 12; r = 10; k = e + 20; z = y + 11. If r = 10, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = y + 11 to w, which gives w = y + 20.\n2. Substitute y = j + 8 to w, which gives w = j + 28.\n3. Substitute j = v + 10 to w, which gives w = v + 38.\n4. Substitute v = g + 12 to w, which gives w = g + 50.\n5. Substitute g = r + 5 to w, which gives w = r + 55.\n6. Substitute r = 10 to w, which gives w = 65.\n\nThus, the final answer is w = \\boxed{65}.",
"index": 1723,
"question": "Consider a system of variables where each variable is defined as follows: e = r + 14; o = m + 14; m = k + 3; j = v + 10; n = u + 19; w = z + 9; g = r + 5; y = j + 8; u = o + 10; v = g + 12; r = 10; k = e + 20; z = y + 11. If r = 10, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"r": "d + 13", "p": "r + 19", "j": "p + 2", "h": "j + 2", "b": "h + 19", "i": "b + 14", "e": "d + 7", "m": "e + 1", "t": "m + 5", "y": "t + 10", "z": "y + 9", "o": "z + 13", "d": 12}, "premises": {"d": 12}, "target": "i"}, "answer": {"steps": [["b", "h + 19", "h + 33"], ["h", "j + 2", "j + 35"], ["j", "p + 2", "p + 37"], ["p", "r + 19", "r + 56"], ["r", "d + 13", "d + 69"], ["d", 12, "81"]], "target_var_name": "i", "target_value": 81, "value_dict": {"d": 12}, "is_reverse": true}}
| 1,724
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = 12; h = j + 2; b = h + 19; i = b + 14; j = p + 2; r = d + 13; t = m + 5; o = z + 13; p = r + 19; m = e + 1; y = t + 10; e = d + 7; z = y + 9. Given that d = 12, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = h + 19 to i, which gives i = h + 33.\n2. Substitute h = j + 2 to i, which gives i = j + 35.\n3. Substitute j = p + 2 to i, which gives i = p + 37.\n4. Substitute p = r + 19 to i, which gives i = r + 56.\n5. Substitute r = d + 13 to i, which gives i = d + 69.\n6. Substitute d = 12 to i, which gives i = 81.\n\nThus, the final answer is i = \\boxed{81}.",
"index": 1724,
"question": "Suppose a collection of variables is related by the following definitions: d = 12; h = j + 2; b = h + 19; i = b + 14; j = p + 2; r = d + 13; t = m + 5; o = z + 13; p = r + 19; m = e + 1; y = t + 10; e = d + 7; z = y + 9. Given that d = 12, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"h": "l + 8", "n": "h + 16", "u": "n + 2", "a": "u + 9", "y": "a + 19", "k": "y + 19", "w": "l + 16", "e": "w + 18", "j": "e + 5", "s": "j + 4", "i": "s + 18", "r": "i + 5", "l": 20}, "premises": {"l": 20}, "target": "k"}, "answer": {"steps": [["y", "a + 19", "a + 38"], ["a", "u + 9", "u + 47"], ["u", "n + 2", "n + 49"], ["n", "h + 16", "h + 65"], ["h", "l + 8", "l + 73"], ["l", 20, "93"]], "target_var_name": "k", "target_value": 93, "value_dict": {"l": 20}, "is_reverse": true}}
| 1,725
| 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 = e + 5; a = u + 9; r = i + 5; n = h + 16; y = a + 19; l = 20; u = n + 2; h = l + 8; w = l + 16; k = y + 19; e = w + 18; i = s + 18; s = j + 4. If l = 20, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = a + 19 to k, which gives k = a + 38.\n2. Substitute a = u + 9 to k, which gives k = u + 47.\n3. Substitute u = n + 2 to k, which gives k = n + 49.\n4. Substitute n = h + 16 to k, which gives k = h + 65.\n5. Substitute h = l + 8 to k, which gives k = l + 73.\n6. Substitute l = 20 to k, which gives k = 93.\n\nThus, the final answer is k = \\boxed{93}.",
"index": 1725,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = e + 5; a = u + 9; r = i + 5; n = h + 16; y = a + 19; l = 20; u = n + 2; h = l + 8; w = l + 16; k = y + 19; e = w + 18; i = s + 18; s = j + 4. If l = 20, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"b": "k + 16", "v": "b + 7", "y": "v + 19", "o": "y + 7", "e": "o + 4", "t": "e + 12", "f": "k + 5", "z": "f + 12", "u": "z + 3", "c": "u + 18", "m": "c + 9", "q": "m + 8", "k": 3}, "premises": {"k": 3}, "target": "t"}, "answer": {"steps": [["e", "o + 4", "o + 16"], ["o", "y + 7", "y + 23"], ["y", "v + 19", "v + 42"], ["v", "b + 7", "b + 49"], ["b", "k + 16", "k + 65"], ["k", 3, "68"]], "target_var_name": "t", "target_value": 68, "value_dict": {"k": 3}, "is_reverse": true}}
| 1,726
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = o + 4; z = f + 12; q = m + 8; t = e + 12; k = 3; c = u + 18; y = v + 19; o = y + 7; v = b + 7; u = z + 3; b = k + 16; f = k + 5; m = c + 9. If k = 3, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = o + 4 to t, which gives t = o + 16.\n2. Substitute o = y + 7 to t, which gives t = y + 23.\n3. Substitute y = v + 19 to t, which gives t = v + 42.\n4. Substitute v = b + 7 to t, which gives t = b + 49.\n5. Substitute b = k + 16 to t, which gives t = k + 65.\n6. Substitute k = 3 to t, which gives t = 68.\n\nThus, the final answer is t = \\boxed{68}.",
"index": 1726,
"question": "Consider a system of variables where each variable is defined as follows: e = o + 4; z = f + 12; q = m + 8; t = e + 12; k = 3; c = u + 18; y = v + 19; o = y + 7; v = b + 7; u = z + 3; b = k + 16; f = k + 5; m = c + 9. If k = 3, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"w": "t + 11", "q": "w + 5", "e": "q + 4", "z": "e + 8", "a": "z + 7", "c": "a + 4", "y": "t + 1", "p": "y + 2", "i": "p + 16", "h": "i + 9", "f": "h + 19", "o": "f + 15", "t": 16}, "premises": {"t": 16}, "target": "c"}, "answer": {"steps": [["a", "z + 7", "z + 11"], ["z", "e + 8", "e + 19"], ["e", "q + 4", "q + 23"], ["q", "w + 5", "w + 28"], ["w", "t + 11", "t + 39"], ["t", 16, "55"]], "target_var_name": "c", "target_value": 55, "value_dict": {"t": 16}, "is_reverse": true}}
| 1,727
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = t + 1; o = f + 15; h = i + 9; q = w + 5; i = p + 16; c = a + 4; w = t + 11; e = q + 4; t = 16; f = h + 19; z = e + 8; a = z + 7; p = y + 2. If t = 16, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = z + 7 to c, which gives c = z + 11.\n2. Substitute z = e + 8 to c, which gives c = e + 19.\n3. Substitute e = q + 4 to c, which gives c = q + 23.\n4. Substitute q = w + 5 to c, which gives c = w + 28.\n5. Substitute w = t + 11 to c, which gives c = t + 39.\n6. Substitute t = 16 to c, which gives c = 55.\n\nThus, the final answer is c = \\boxed{55}.",
"index": 1727,
"question": "Consider a system of variables where each variable is defined as follows: y = t + 1; o = f + 15; h = i + 9; q = w + 5; i = p + 16; c = a + 4; w = t + 11; e = q + 4; t = 16; f = h + 19; z = e + 8; a = z + 7; p = y + 2. If t = 16, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"m": "x + 17", "y": "m + 11", "j": "y + 1", "l": "j + 19", "h": "l + 4", "o": "h + 3", "b": "x + 17", "f": "b + 7", "r": "f + 17", "c": "r + 16", "k": "c + 12", "e": "k + 6", "x": 2}, "premises": {"x": 2}, "target": "o"}, "answer": {"steps": [["h", "l + 4", "l + 7"], ["l", "j + 19", "j + 26"], ["j", "y + 1", "y + 27"], ["y", "m + 11", "m + 38"], ["m", "x + 17", "x + 55"], ["x", 2, "57"]], "target_var_name": "o", "target_value": 57, "value_dict": {"x": 2}, "is_reverse": true}}
| 1,728
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = k + 6; r = f + 17; j = y + 1; o = h + 3; y = m + 11; l = j + 19; k = c + 12; h = l + 4; b = x + 17; m = x + 17; c = r + 16; f = b + 7; x = 2. Given that x = 2, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = l + 4 to o, which gives o = l + 7.\n2. Substitute l = j + 19 to o, which gives o = j + 26.\n3. Substitute j = y + 1 to o, which gives o = y + 27.\n4. Substitute y = m + 11 to o, which gives o = m + 38.\n5. Substitute m = x + 17 to o, which gives o = x + 55.\n6. Substitute x = 2 to o, which gives o = 57.\n\nThus, the final answer is o = \\boxed{57}.",
"index": 1728,
"question": "Suppose a collection of variables is related by the following definitions: e = k + 6; r = f + 17; j = y + 1; o = h + 3; y = m + 11; l = j + 19; k = c + 12; h = l + 4; b = x + 17; m = x + 17; c = r + 16; f = b + 7; x = 2. Given that x = 2, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"p": "r + 3", "f": "p + 20", "v": "f + 16", "l": "v + 10", "g": "l + 13", "w": "g + 9", "e": "r + 13", "y": "e + 9", "d": "y + 1", "a": "d + 12", "q": "a + 1", "b": "q + 1", "r": 20}, "premises": {"r": 20}, "target": "w"}, "answer": {"steps": [["g", "l + 13", "l + 22"], ["l", "v + 10", "v + 32"], ["v", "f + 16", "f + 48"], ["f", "p + 20", "p + 68"], ["p", "r + 3", "r + 71"], ["r", 20, "91"]], "target_var_name": "w", "target_value": 91, "value_dict": {"r": 20}, "is_reverse": true}}
| 1,729
| 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 = g + 9; d = y + 1; f = p + 20; e = r + 13; r = 20; g = l + 13; p = r + 3; v = f + 16; b = q + 1; a = d + 12; y = e + 9; l = v + 10; q = a + 1. If r = 20, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = l + 13 to w, which gives w = l + 22.\n2. Substitute l = v + 10 to w, which gives w = v + 32.\n3. Substitute v = f + 16 to w, which gives w = f + 48.\n4. Substitute f = p + 20 to w, which gives w = p + 68.\n5. Substitute p = r + 3 to w, which gives w = r + 71.\n6. Substitute r = 20 to w, which gives w = 91.\n\nThus, the final answer is w = \\boxed{91}.",
"index": 1729,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = g + 9; d = y + 1; f = p + 20; e = r + 13; r = 20; g = l + 13; p = r + 3; v = f + 16; b = q + 1; a = d + 12; y = e + 9; l = v + 10; q = a + 1. If r = 20, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"q": "s + 10", "d": "q + 15", "i": "d + 10", "r": "i + 18", "n": "r + 3", "u": "n + 14", "e": "s + 19", "o": "e + 1", "k": "o + 13", "h": "k + 16", "z": "h + 4", "a": "z + 6", "s": 13}, "premises": {"s": 13}, "target": "u"}, "answer": {"steps": [["n", "r + 3", "r + 17"], ["r", "i + 18", "i + 35"], ["i", "d + 10", "d + 45"], ["d", "q + 15", "q + 60"], ["q", "s + 10", "s + 70"], ["s", 13, "83"]], "target_var_name": "u", "target_value": 83, "value_dict": {"s": 13}, "is_reverse": true}}
| 1,730
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = 13; e = s + 19; d = q + 15; r = i + 18; o = e + 1; u = n + 14; k = o + 13; z = h + 4; h = k + 16; a = z + 6; i = d + 10; n = r + 3; q = s + 10. If s = 13, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = r + 3 to u, which gives u = r + 17.\n2. Substitute r = i + 18 to u, which gives u = i + 35.\n3. Substitute i = d + 10 to u, which gives u = d + 45.\n4. Substitute d = q + 15 to u, which gives u = q + 60.\n5. Substitute q = s + 10 to u, which gives u = s + 70.\n6. Substitute s = 13 to u, which gives u = 83.\n\nThus, the final answer is u = \\boxed{83}.",
"index": 1730,
"question": "Consider a system of variables where each variable is defined as follows: s = 13; e = s + 19; d = q + 15; r = i + 18; o = e + 1; u = n + 14; k = o + 13; z = h + 4; h = k + 16; a = z + 6; i = d + 10; n = r + 3; q = s + 10. If s = 13, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"y": "o + 12", "a": "y + 1", "c": "a + 10", "t": "c + 4", "n": "t + 16", "z": "n + 14", "v": "o + 5", "l": "v + 16", "p": "l + 13", "i": "p + 10", "d": "i + 17", "x": "d + 15", "o": 7}, "premises": {"o": 7}, "target": "z"}, "answer": {"steps": [["n", "t + 16", "t + 30"], ["t", "c + 4", "c + 34"], ["c", "a + 10", "a + 44"], ["a", "y + 1", "y + 45"], ["y", "o + 12", "o + 57"], ["o", 7, "64"]], "target_var_name": "z", "target_value": 64, "value_dict": {"o": 7}, "is_reverse": true}}
| 1,731
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = t + 16; c = a + 10; d = i + 17; t = c + 4; y = o + 12; o = 7; l = v + 16; i = p + 10; p = l + 13; z = n + 14; x = d + 15; v = o + 5; a = y + 1. Given that o = 7, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = t + 16 to z, which gives z = t + 30.\n2. Substitute t = c + 4 to z, which gives z = c + 34.\n3. Substitute c = a + 10 to z, which gives z = a + 44.\n4. Substitute a = y + 1 to z, which gives z = y + 45.\n5. Substitute y = o + 12 to z, which gives z = o + 57.\n6. Substitute o = 7 to z, which gives z = 64.\n\nThus, the final answer is z = \\boxed{64}.",
"index": 1731,
"question": "Suppose a collection of variables is related by the following definitions: n = t + 16; c = a + 10; d = i + 17; t = c + 4; y = o + 12; o = 7; l = v + 16; i = p + 10; p = l + 13; z = n + 14; x = d + 15; v = o + 5; a = y + 1. Given that o = 7, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"n": "t + 15", "r": "n + 3", "u": "r + 14", "x": "u + 18", "d": "x + 10", "b": "d + 6", "y": "t + 17", "q": "y + 2", "c": "q + 4", "w": "c + 12", "p": "w + 4", "g": "p + 5", "t": 8}, "premises": {"t": 8}, "target": "b"}, "answer": {"steps": [["d", "x + 10", "x + 16"], ["x", "u + 18", "u + 34"], ["u", "r + 14", "r + 48"], ["r", "n + 3", "n + 51"], ["n", "t + 15", "t + 66"], ["t", 8, "74"]], "target_var_name": "b", "target_value": 74, "value_dict": {"t": 8}, "is_reverse": true}}
| 1,732
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = 8; q = y + 2; u = r + 14; y = t + 17; b = d + 6; w = c + 12; p = w + 4; d = x + 10; g = p + 5; n = t + 15; c = q + 4; r = n + 3; x = u + 18. If t = 8, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = x + 10 to b, which gives b = x + 16.\n2. Substitute x = u + 18 to b, which gives b = u + 34.\n3. Substitute u = r + 14 to b, which gives b = r + 48.\n4. Substitute r = n + 3 to b, which gives b = n + 51.\n5. Substitute n = t + 15 to b, which gives b = t + 66.\n6. Substitute t = 8 to b, which gives b = 74.\n\nThus, the final answer is b = \\boxed{74}.",
"index": 1732,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = 8; q = y + 2; u = r + 14; y = t + 17; b = d + 6; w = c + 12; p = w + 4; d = x + 10; g = p + 5; n = t + 15; c = q + 4; r = n + 3; x = u + 18. If t = 8, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"k": "n + 15", "y": "k + 2", "z": "y + 8", "e": "z + 3", "i": "e + 1", "j": "i + 13", "f": "n + 10", "r": "f + 17", "u": "r + 14", "g": "u + 8", "a": "g + 17", "q": "a + 9", "n": 3}, "premises": {"n": 3}, "target": "j"}, "answer": {"steps": [["i", "e + 1", "e + 14"], ["e", "z + 3", "z + 17"], ["z", "y + 8", "y + 25"], ["y", "k + 2", "k + 27"], ["k", "n + 15", "n + 42"], ["n", 3, "45"]], "target_var_name": "j", "target_value": 45, "value_dict": {"n": 3}, "is_reverse": true}}
| 1,733
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = a + 9; e = z + 3; z = y + 8; u = r + 14; k = n + 15; f = n + 10; y = k + 2; g = u + 8; n = 3; j = i + 13; a = g + 17; i = e + 1; r = f + 17. If n = 3, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 45,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = e + 1 to j, which gives j = e + 14.\n2. Substitute e = z + 3 to j, which gives j = z + 17.\n3. Substitute z = y + 8 to j, which gives j = y + 25.\n4. Substitute y = k + 2 to j, which gives j = k + 27.\n5. Substitute k = n + 15 to j, which gives j = n + 42.\n6. Substitute n = 3 to j, which gives j = 45.\n\nThus, the final answer is j = \\boxed{45}.",
"index": 1733,
"question": "Consider a system of variables where each variable is defined as follows: q = a + 9; e = z + 3; z = y + 8; u = r + 14; k = n + 15; f = n + 10; y = k + 2; g = u + 8; n = 3; j = i + 13; a = g + 17; i = e + 1; r = f + 17. If n = 3, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"x": "r + 1", "z": "x + 4", "a": "z + 9", "q": "a + 18", "y": "q + 11", "m": "y + 13", "h": "r + 9", "l": "h + 12", "i": "l + 19", "s": "i + 8", "g": "s + 14", "w": "g + 11", "r": 16}, "premises": {"r": 16}, "target": "m"}, "answer": {"steps": [["y", "q + 11", "q + 24"], ["q", "a + 18", "a + 42"], ["a", "z + 9", "z + 51"], ["z", "x + 4", "x + 55"], ["x", "r + 1", "r + 56"], ["r", 16, "72"]], "target_var_name": "m", "target_value": 72, "value_dict": {"r": 16}, "is_reverse": true}}
| 1,734
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = r + 1; s = i + 8; z = x + 4; y = q + 11; q = a + 18; g = s + 14; a = z + 9; w = g + 11; l = h + 12; i = l + 19; h = r + 9; r = 16; m = y + 13. Given that r = 16, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = q + 11 to m, which gives m = q + 24.\n2. Substitute q = a + 18 to m, which gives m = a + 42.\n3. Substitute a = z + 9 to m, which gives m = z + 51.\n4. Substitute z = x + 4 to m, which gives m = x + 55.\n5. Substitute x = r + 1 to m, which gives m = r + 56.\n6. Substitute r = 16 to m, which gives m = 72.\n\nThus, the final answer is m = \\boxed{72}.",
"index": 1734,
"question": "Suppose a collection of variables is related by the following definitions: x = r + 1; s = i + 8; z = x + 4; y = q + 11; q = a + 18; g = s + 14; a = z + 9; w = g + 11; l = h + 12; i = l + 19; h = r + 9; r = 16; m = y + 13. Given that r = 16, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"h": "g + 15", "q": "h + 16", "j": "q + 10", "v": "j + 15", "d": "v + 19", "s": "d + 19", "x": "g + 4", "b": "x + 18", "z": "b + 1", "o": "z + 7", "l": "o + 16", "m": "l + 18", "g": 19}, "premises": {"g": 19}, "target": "s"}, "answer": {"steps": [["d", "v + 19", "v + 38"], ["v", "j + 15", "j + 53"], ["j", "q + 10", "q + 63"], ["q", "h + 16", "h + 79"], ["h", "g + 15", "g + 94"], ["g", 19, "113"]], "target_var_name": "s", "target_value": 113, "value_dict": {"g": 19}, "is_reverse": true}}
| 1,735
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = o + 16; h = g + 15; v = j + 15; z = b + 1; x = g + 4; o = z + 7; g = 19; q = h + 16; s = d + 19; b = x + 18; d = v + 19; m = l + 18; j = q + 10. If g = 19, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 113,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = v + 19 to s, which gives s = v + 38.\n2. Substitute v = j + 15 to s, which gives s = j + 53.\n3. Substitute j = q + 10 to s, which gives s = q + 63.\n4. Substitute q = h + 16 to s, which gives s = h + 79.\n5. Substitute h = g + 15 to s, which gives s = g + 94.\n6. Substitute g = 19 to s, which gives s = 113.\n\nThus, the final answer is s = \\boxed{113}.",
"index": 1735,
"question": "Consider a system of variables where each variable is defined as follows: l = o + 16; h = g + 15; v = j + 15; z = b + 1; x = g + 4; o = z + 7; g = 19; q = h + 16; s = d + 19; b = x + 18; d = v + 19; m = l + 18; j = q + 10. If g = 19, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"k": "o + 1", "v": "k + 15", "p": "v + 9", "c": "p + 1", "j": "c + 15", "a": "j + 16", "r": "o + 1", "z": "r + 6", "u": "z + 17", "q": "u + 3", "h": "q + 14", "n": "h + 20", "o": 3}, "premises": {"o": 3}, "target": "a"}, "answer": {"steps": [["j", "c + 15", "c + 31"], ["c", "p + 1", "p + 32"], ["p", "v + 9", "v + 41"], ["v", "k + 15", "k + 56"], ["k", "o + 1", "o + 57"], ["o", 3, "60"]], "target_var_name": "a", "target_value": 60, "value_dict": {"o": 3}, "is_reverse": true}}
| 1,736
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = r + 6; r = o + 1; j = c + 15; q = u + 3; h = q + 14; c = p + 1; u = z + 17; k = o + 1; p = v + 9; n = h + 20; o = 3; a = j + 16; v = k + 15. Given that o = 3, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = c + 15 to a, which gives a = c + 31.\n2. Substitute c = p + 1 to a, which gives a = p + 32.\n3. Substitute p = v + 9 to a, which gives a = v + 41.\n4. Substitute v = k + 15 to a, which gives a = k + 56.\n5. Substitute k = o + 1 to a, which gives a = o + 57.\n6. Substitute o = 3 to a, which gives a = 60.\n\nThus, the final answer is a = \\boxed{60}.",
"index": 1736,
"question": "Suppose a collection of variables is related by the following definitions: z = r + 6; r = o + 1; j = c + 15; q = u + 3; h = q + 14; c = p + 1; u = z + 17; k = o + 1; p = v + 9; n = h + 20; o = 3; a = j + 16; v = k + 15. Given that o = 3, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"q": "j + 10", "k": "q + 18", "a": "k + 11", "l": "a + 1", "t": "l + 4", "d": "t + 3", "z": "j + 5", "r": "z + 15", "u": "r + 16", "w": "u + 10", "b": "w + 9", "h": "b + 8", "j": 8}, "premises": {"j": 8}, "target": "d"}, "answer": {"steps": [["t", "l + 4", "l + 7"], ["l", "a + 1", "a + 8"], ["a", "k + 11", "k + 19"], ["k", "q + 18", "q + 37"], ["q", "j + 10", "j + 47"], ["j", 8, "55"]], "target_var_name": "d", "target_value": 55, "value_dict": {"j": 8}, "is_reverse": true}}
| 1,737
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = z + 15; d = t + 3; z = j + 5; a = k + 11; b = w + 9; k = q + 18; q = j + 10; h = b + 8; u = r + 16; l = a + 1; t = l + 4; w = u + 10; j = 8. If j = 8, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = l + 4 to d, which gives d = l + 7.\n2. Substitute l = a + 1 to d, which gives d = a + 8.\n3. Substitute a = k + 11 to d, which gives d = k + 19.\n4. Substitute k = q + 18 to d, which gives d = q + 37.\n5. Substitute q = j + 10 to d, which gives d = j + 47.\n6. Substitute j = 8 to d, which gives d = 55.\n\nThus, the final answer is d = \\boxed{55}.",
"index": 1737,
"question": "Consider a system of variables where each variable is defined as follows: r = z + 15; d = t + 3; z = j + 5; a = k + 11; b = w + 9; k = q + 18; q = j + 10; h = b + 8; u = r + 16; l = a + 1; t = l + 4; w = u + 10; j = 8. If j = 8, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"e": "t + 9", "z": "e + 2", "b": "z + 15", "w": "b + 11", "y": "w + 14", "q": "y + 20", "d": "t + 7", "n": "d + 3", "i": "n + 9", "h": "i + 10", "v": "h + 2", "p": "v + 16", "t": 13}, "premises": {"t": 13}, "target": "q"}, "answer": {"steps": [["y", "w + 14", "w + 34"], ["w", "b + 11", "b + 45"], ["b", "z + 15", "z + 60"], ["z", "e + 2", "e + 62"], ["e", "t + 9", "t + 71"], ["t", 13, "84"]], "target_var_name": "q", "target_value": 84, "value_dict": {"t": 13}, "is_reverse": true}}
| 1,738
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = h + 2; d = t + 7; y = w + 14; e = t + 9; z = e + 2; b = z + 15; n = d + 3; w = b + 11; q = y + 20; p = v + 16; i = n + 9; t = 13; h = i + 10. If t = 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 y = w + 14 to q, which gives q = w + 34.\n2. Substitute w = b + 11 to q, which gives q = b + 45.\n3. Substitute b = z + 15 to q, which gives q = z + 60.\n4. Substitute z = e + 2 to q, which gives q = e + 62.\n5. Substitute e = t + 9 to q, which gives q = t + 71.\n6. Substitute t = 13 to q, which gives q = 84.\n\nThus, the final answer is q = \\boxed{84}.",
"index": 1738,
"question": "Consider a system of variables where each variable is defined as follows: v = h + 2; d = t + 7; y = w + 14; e = t + 9; z = e + 2; b = z + 15; n = d + 3; w = b + 11; q = y + 20; p = v + 16; i = n + 9; t = 13; h = i + 10. If t = 13, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"w": "i + 17", "e": "w + 20", "c": "e + 12", "k": "c + 19", "q": "k + 6", "h": "q + 14", "t": "i + 16", "z": "t + 14", "x": "z + 4", "f": "x + 1", "o": "f + 3", "d": "o + 16", "i": 13}, "premises": {"i": 13}, "target": "h"}, "answer": {"steps": [["q", "k + 6", "k + 20"], ["k", "c + 19", "c + 39"], ["c", "e + 12", "e + 51"], ["e", "w + 20", "w + 71"], ["w", "i + 17", "i + 88"], ["i", 13, "101"]], "target_var_name": "h", "target_value": 101, "value_dict": {"i": 13}, "is_reverse": true}}
| 1,739
| 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 = 13; k = c + 19; w = i + 17; e = w + 20; o = f + 3; x = z + 4; d = o + 16; q = k + 6; h = q + 14; c = e + 12; z = t + 14; t = i + 16; f = x + 1. If i = 13, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 101,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = k + 6 to h, which gives h = k + 20.\n2. Substitute k = c + 19 to h, which gives h = c + 39.\n3. Substitute c = e + 12 to h, which gives h = e + 51.\n4. Substitute e = w + 20 to h, which gives h = w + 71.\n5. Substitute w = i + 17 to h, which gives h = i + 88.\n6. Substitute i = 13 to h, which gives h = 101.\n\nThus, the final answer is h = \\boxed{101}.",
"index": 1739,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = 13; k = c + 19; w = i + 17; e = w + 20; o = f + 3; x = z + 4; d = o + 16; q = k + 6; h = q + 14; c = e + 12; z = t + 14; t = i + 16; f = x + 1. If i = 13, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"c": "l + 2", "w": "c + 19", "v": "w + 3", "y": "v + 14", "z": "y + 10", "a": "z + 18", "f": "l + 17", "g": "f + 7", "u": "g + 5", "j": "u + 1", "e": "j + 14", "r": "e + 18", "l": 2}, "premises": {"l": 2}, "target": "a"}, "answer": {"steps": [["z", "y + 10", "y + 28"], ["y", "v + 14", "v + 42"], ["v", "w + 3", "w + 45"], ["w", "c + 19", "c + 64"], ["c", "l + 2", "l + 66"], ["l", 2, "68"]], "target_var_name": "a", "target_value": 68, "value_dict": {"l": 2}, "is_reverse": true}}
| 1,740
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = c + 19; j = u + 1; c = l + 2; g = f + 7; a = z + 18; y = v + 14; v = w + 3; e = j + 14; f = l + 17; u = g + 5; z = y + 10; r = e + 18; l = 2. If l = 2, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = y + 10 to a, which gives a = y + 28.\n2. Substitute y = v + 14 to a, which gives a = v + 42.\n3. Substitute v = w + 3 to a, which gives a = w + 45.\n4. Substitute w = c + 19 to a, which gives a = c + 64.\n5. Substitute c = l + 2 to a, which gives a = l + 66.\n6. Substitute l = 2 to a, which gives a = 68.\n\nThus, the final answer is a = \\boxed{68}.",
"index": 1740,
"question": "Consider a system of variables where each variable is defined as follows: w = c + 19; j = u + 1; c = l + 2; g = f + 7; a = z + 18; y = v + 14; v = w + 3; e = j + 14; f = l + 17; u = g + 5; z = y + 10; r = e + 18; l = 2. If l = 2, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"p": "r + 18", "u": "p + 9", "f": "u + 8", "w": "f + 15", "o": "w + 14", "s": "o + 1", "z": "r + 12", "l": "z + 19", "v": "l + 11", "k": "v + 18", "m": "k + 16", "a": "m + 20", "r": 19}, "premises": {"r": 19}, "target": "s"}, "answer": {"steps": [["o", "w + 14", "w + 15"], ["w", "f + 15", "f + 30"], ["f", "u + 8", "u + 38"], ["u", "p + 9", "p + 47"], ["p", "r + 18", "r + 65"], ["r", 19, "84"]], "target_var_name": "s", "target_value": 84, "value_dict": {"r": 19}, "is_reverse": true}}
| 1,741
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = z + 19; r = 19; m = k + 16; k = v + 18; w = f + 15; s = o + 1; z = r + 12; a = m + 20; p = r + 18; f = u + 8; u = p + 9; v = l + 11; o = w + 14. Given that r = 19, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = w + 14 to s, which gives s = w + 15.\n2. Substitute w = f + 15 to s, which gives s = f + 30.\n3. Substitute f = u + 8 to s, which gives s = u + 38.\n4. Substitute u = p + 9 to s, which gives s = p + 47.\n5. Substitute p = r + 18 to s, which gives s = r + 65.\n6. Substitute r = 19 to s, which gives s = 84.\n\nThus, the final answer is s = \\boxed{84}.",
"index": 1741,
"question": "Suppose a collection of variables is related by the following definitions: l = z + 19; r = 19; m = k + 16; k = v + 18; w = f + 15; s = o + 1; z = r + 12; a = m + 20; p = r + 18; f = u + 8; u = p + 9; v = l + 11; o = w + 14. Given that r = 19, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"w": "k + 19", "e": "w + 9", "x": "e + 20", "z": "x + 13", "i": "z + 20", "r": "i + 18", "d": "k + 14", "f": "d + 2", "l": "f + 8", "n": "l + 16", "m": "n + 17", "p": "m + 7", "k": 3}, "premises": {"k": 3}, "target": "r"}, "answer": {"steps": [["i", "z + 20", "z + 38"], ["z", "x + 13", "x + 51"], ["x", "e + 20", "e + 71"], ["e", "w + 9", "w + 80"], ["w", "k + 19", "k + 99"], ["k", 3, "102"]], "target_var_name": "r", "target_value": 102, "value_dict": {"k": 3}, "is_reverse": true}}
| 1,742
| 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 + 16; r = i + 18; k = 3; x = e + 20; m = n + 17; l = f + 8; f = d + 2; z = x + 13; w = k + 19; p = m + 7; d = k + 14; i = z + 20; e = w + 9. If k = 3, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 102,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = z + 20 to r, which gives r = z + 38.\n2. Substitute z = x + 13 to r, which gives r = x + 51.\n3. Substitute x = e + 20 to r, which gives r = e + 71.\n4. Substitute e = w + 9 to r, which gives r = w + 80.\n5. Substitute w = k + 19 to r, which gives r = k + 99.\n6. Substitute k = 3 to r, which gives r = 102.\n\nThus, the final answer is r = \\boxed{102}.",
"index": 1742,
"question": "Consider a system of variables where each variable is defined as follows: n = l + 16; r = i + 18; k = 3; x = e + 20; m = n + 17; l = f + 8; f = d + 2; z = x + 13; w = k + 19; p = m + 7; d = k + 14; i = z + 20; e = w + 9. If k = 3, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"c": "n + 9", "v": "c + 18", "q": "v + 11", "r": "q + 6", "l": "r + 20", "z": "l + 2", "f": "n + 11", "p": "f + 3", "i": "p + 19", "g": "i + 20", "b": "g + 2", "h": "b + 14", "n": 20}, "premises": {"n": 20}, "target": "z"}, "answer": {"steps": [["l", "r + 20", "r + 22"], ["r", "q + 6", "q + 28"], ["q", "v + 11", "v + 39"], ["v", "c + 18", "c + 57"], ["c", "n + 9", "n + 66"], ["n", 20, "86"]], "target_var_name": "z", "target_value": 86, "value_dict": {"n": 20}, "is_reverse": true}}
| 1,743
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = 20; h = b + 14; f = n + 11; b = g + 2; g = i + 20; r = q + 6; q = v + 11; c = n + 9; l = r + 20; z = l + 2; i = p + 19; p = f + 3; v = c + 18. If n = 20, determine the 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 l = r + 20 to z, which gives z = r + 22.\n2. Substitute r = q + 6 to z, which gives z = q + 28.\n3. Substitute q = v + 11 to z, which gives z = v + 39.\n4. Substitute v = c + 18 to z, which gives z = c + 57.\n5. Substitute c = n + 9 to z, which gives z = n + 66.\n6. Substitute n = 20 to z, which gives z = 86.\n\nThus, the final answer is z = \\boxed{86}.",
"index": 1743,
"question": "Consider a system of variables where each variable is defined as follows: n = 20; h = b + 14; f = n + 11; b = g + 2; g = i + 20; r = q + 6; q = v + 11; c = n + 9; l = r + 20; z = l + 2; i = p + 19; p = f + 3; v = c + 18. If n = 20, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"b": "s + 20", "g": "b + 11", "v": "g + 3", "j": "v + 9", "l": "j + 12", "q": "l + 15", "n": "s + 20", "w": "n + 6", "x": "w + 5", "z": "x + 11", "r": "z + 17", "p": "r + 8", "s": 16}, "premises": {"s": 16}, "target": "q"}, "answer": {"steps": [["l", "j + 12", "j + 27"], ["j", "v + 9", "v + 36"], ["v", "g + 3", "g + 39"], ["g", "b + 11", "b + 50"], ["b", "s + 20", "s + 70"], ["s", 16, "86"]], "target_var_name": "q", "target_value": 86, "value_dict": {"s": 16}, "is_reverse": true}}
| 1,744
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = l + 15; l = j + 12; p = r + 8; w = n + 6; v = g + 3; j = v + 9; g = b + 11; z = x + 11; x = w + 5; s = 16; b = s + 20; n = s + 20; r = z + 17. Given that s = 16, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = j + 12 to q, which gives q = j + 27.\n2. Substitute j = v + 9 to q, which gives q = v + 36.\n3. Substitute v = g + 3 to q, which gives q = g + 39.\n4. Substitute g = b + 11 to q, which gives q = b + 50.\n5. Substitute b = s + 20 to q, which gives q = s + 70.\n6. Substitute s = 16 to q, which gives q = 86.\n\nThus, the final answer is q = \\boxed{86}.",
"index": 1744,
"question": "Suppose a collection of variables is related by the following definitions: q = l + 15; l = j + 12; p = r + 8; w = n + 6; v = g + 3; j = v + 9; g = b + 11; z = x + 11; x = w + 5; s = 16; b = s + 20; n = s + 20; r = z + 17. Given that s = 16, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"h": "s + 16", "n": "h + 1", "p": "n + 18", "f": "p + 3", "u": "f + 10", "e": "u + 3", "k": "s + 17", "b": "k + 16", "i": "b + 1", "t": "i + 9", "a": "t + 18", "q": "a + 12", "s": 7}, "premises": {"s": 7}, "target": "e"}, "answer": {"steps": [["u", "f + 10", "f + 13"], ["f", "p + 3", "p + 16"], ["p", "n + 18", "n + 34"], ["n", "h + 1", "h + 35"], ["h", "s + 16", "s + 51"], ["s", 7, "58"]], "target_var_name": "e", "target_value": 58, "value_dict": {"s": 7}, "is_reverse": true}}
| 1,745
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = a + 12; s = 7; e = u + 3; k = s + 17; u = f + 10; t = i + 9; a = t + 18; n = h + 1; p = n + 18; i = b + 1; f = p + 3; b = k + 16; h = s + 16. If s = 7, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = f + 10 to e, which gives e = f + 13.\n2. Substitute f = p + 3 to e, which gives e = p + 16.\n3. Substitute p = n + 18 to e, which gives e = n + 34.\n4. Substitute n = h + 1 to e, which gives e = h + 35.\n5. Substitute h = s + 16 to e, which gives e = s + 51.\n6. Substitute s = 7 to e, which gives e = 58.\n\nThus, the final answer is e = \\boxed{58}.",
"index": 1745,
"question": "Consider a system of variables where each variable is defined as follows: q = a + 12; s = 7; e = u + 3; k = s + 17; u = f + 10; t = i + 9; a = t + 18; n = h + 1; p = n + 18; i = b + 1; f = p + 3; b = k + 16; h = s + 16. If s = 7, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"o": "z + 7", "q": "o + 16", "d": "q + 1", "e": "d + 2", "b": "e + 13", "u": "b + 12", "y": "z + 9", "w": "y + 4", "l": "w + 11", "p": "l + 11", "h": "p + 10", "v": "h + 13", "z": 20}, "premises": {"z": 20}, "target": "u"}, "answer": {"steps": [["b", "e + 13", "e + 25"], ["e", "d + 2", "d + 27"], ["d", "q + 1", "q + 28"], ["q", "o + 16", "o + 44"], ["o", "z + 7", "z + 51"], ["z", 20, "71"]], "target_var_name": "u", "target_value": 71, "value_dict": {"z": 20}, "is_reverse": true}}
| 1,746
| 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 = o + 16; w = y + 4; v = h + 13; l = w + 11; b = e + 13; z = 20; y = z + 9; d = q + 1; e = d + 2; p = l + 11; u = b + 12; h = p + 10; o = z + 7. If z = 20, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = e + 13 to u, which gives u = e + 25.\n2. Substitute e = d + 2 to u, which gives u = d + 27.\n3. Substitute d = q + 1 to u, which gives u = q + 28.\n4. Substitute q = o + 16 to u, which gives u = o + 44.\n5. Substitute o = z + 7 to u, which gives u = z + 51.\n6. Substitute z = 20 to u, which gives u = 71.\n\nThus, the final answer is u = \\boxed{71}.",
"index": 1746,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = o + 16; w = y + 4; v = h + 13; l = w + 11; b = e + 13; z = 20; y = z + 9; d = q + 1; e = d + 2; p = l + 11; u = b + 12; h = p + 10; o = z + 7. If z = 20, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"r": "z + 9", "y": "r + 3", "g": "y + 16", "n": "g + 1", "q": "n + 10", "s": "q + 12", "l": "z + 12", "w": "l + 5", "h": "w + 10", "v": "h + 8", "a": "v + 10", "p": "a + 1", "z": 9}, "premises": {"z": 9}, "target": "s"}, "answer": {"steps": [["q", "n + 10", "n + 22"], ["n", "g + 1", "g + 23"], ["g", "y + 16", "y + 39"], ["y", "r + 3", "r + 42"], ["r", "z + 9", "z + 51"], ["z", 9, "60"]], "target_var_name": "s", "target_value": 60, "value_dict": {"z": 9}, "is_reverse": true}}
| 1,747
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = 9; h = w + 10; y = r + 3; w = l + 5; n = g + 1; p = a + 1; r = z + 9; s = q + 12; q = n + 10; v = h + 8; g = y + 16; l = z + 12; a = v + 10. If z = 9, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = n + 10 to s, which gives s = n + 22.\n2. Substitute n = g + 1 to s, which gives s = g + 23.\n3. Substitute g = y + 16 to s, which gives s = y + 39.\n4. Substitute y = r + 3 to s, which gives s = r + 42.\n5. Substitute r = z + 9 to s, which gives s = z + 51.\n6. Substitute z = 9 to s, which gives s = 60.\n\nThus, the final answer is s = \\boxed{60}.",
"index": 1747,
"question": "Consider a system of variables where each variable is defined as follows: z = 9; h = w + 10; y = r + 3; w = l + 5; n = g + 1; p = a + 1; r = z + 9; s = q + 12; q = n + 10; v = h + 8; g = y + 16; l = z + 12; a = v + 10. If z = 9, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"j": "u + 2", "p": "j + 20", "v": "p + 1", "o": "v + 2", "m": "o + 11", "d": "m + 4", "z": "u + 3", "r": "z + 9", "y": "r + 10", "q": "y + 3", "b": "q + 2", "a": "b + 10", "u": 20}, "premises": {"u": 20}, "target": "d"}, "answer": {"steps": [["m", "o + 11", "o + 15"], ["o", "v + 2", "v + 17"], ["v", "p + 1", "p + 18"], ["p", "j + 20", "j + 38"], ["j", "u + 2", "u + 40"], ["u", 20, "60"]], "target_var_name": "d", "target_value": 60, "value_dict": {"u": 20}, "is_reverse": true}}
| 1,748
| 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 = j + 20; y = r + 10; m = o + 11; d = m + 4; b = q + 2; q = y + 3; r = z + 9; a = b + 10; j = u + 2; z = u + 3; u = 20; o = v + 2; v = p + 1. If u = 20, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = o + 11 to d, which gives d = o + 15.\n2. Substitute o = v + 2 to d, which gives d = v + 17.\n3. Substitute v = p + 1 to d, which gives d = p + 18.\n4. Substitute p = j + 20 to d, which gives d = j + 38.\n5. Substitute j = u + 2 to d, which gives d = u + 40.\n6. Substitute u = 20 to d, which gives d = 60.\n\nThus, the final answer is d = \\boxed{60}.",
"index": 1748,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = j + 20; y = r + 10; m = o + 11; d = m + 4; b = q + 2; q = y + 3; r = z + 9; a = b + 10; j = u + 2; z = u + 3; u = 20; o = v + 2; v = p + 1. If u = 20, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"s": "q + 11", "o": "s + 14", "d": "o + 16", "i": "d + 7", "l": "i + 19", "f": "l + 11", "h": "q + 17", "v": "h + 12", "z": "v + 5", "c": "z + 10", "y": "c + 14", "w": "y + 4", "q": 1}, "premises": {"q": 1}, "target": "f"}, "answer": {"steps": [["l", "i + 19", "i + 30"], ["i", "d + 7", "d + 37"], ["d", "o + 16", "o + 53"], ["o", "s + 14", "s + 67"], ["s", "q + 11", "q + 78"], ["q", 1, "79"]], "target_var_name": "f", "target_value": 79, "value_dict": {"q": 1}, "is_reverse": true}}
| 1,749
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = i + 19; z = v + 5; h = q + 17; f = l + 11; q = 1; c = z + 10; s = q + 11; v = h + 12; w = y + 4; o = s + 14; y = c + 14; i = d + 7; d = o + 16. Given that q = 1, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = i + 19 to f, which gives f = i + 30.\n2. Substitute i = d + 7 to f, which gives f = d + 37.\n3. Substitute d = o + 16 to f, which gives f = o + 53.\n4. Substitute o = s + 14 to f, which gives f = s + 67.\n5. Substitute s = q + 11 to f, which gives f = q + 78.\n6. Substitute q = 1 to f, which gives f = 79.\n\nThus, the final answer is f = \\boxed{79}.",
"index": 1749,
"question": "Suppose a collection of variables is related by the following definitions: l = i + 19; z = v + 5; h = q + 17; f = l + 11; q = 1; c = z + 10; s = q + 11; v = h + 12; w = y + 4; o = s + 14; y = c + 14; i = d + 7; d = o + 16. Given that q = 1, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"k": "a + 18", "t": "k + 5", "h": "t + 3", "j": "h + 7", "i": "j + 9", "g": "i + 9", "l": "a + 12", "f": "l + 11", "c": "f + 8", "y": "c + 13", "e": "y + 20", "n": "e + 14", "a": 17}, "premises": {"a": 17}, "target": "g"}, "answer": {"steps": [["i", "j + 9", "j + 18"], ["j", "h + 7", "h + 25"], ["h", "t + 3", "t + 28"], ["t", "k + 5", "k + 33"], ["k", "a + 18", "a + 51"], ["a", 17, "68"]], "target_var_name": "g", "target_value": 68, "value_dict": {"a": 17}, "is_reverse": true}}
| 1,750
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = h + 7; h = t + 3; t = k + 5; l = a + 12; g = i + 9; a = 17; y = c + 13; n = e + 14; c = f + 8; e = y + 20; f = l + 11; k = a + 18; i = j + 9. If a = 17, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = j + 9 to g, which gives g = j + 18.\n2. Substitute j = h + 7 to g, which gives g = h + 25.\n3. Substitute h = t + 3 to g, which gives g = t + 28.\n4. Substitute t = k + 5 to g, which gives g = k + 33.\n5. Substitute k = a + 18 to g, which gives g = a + 51.\n6. Substitute a = 17 to g, which gives g = 68.\n\nThus, the final answer is g = \\boxed{68}.",
"index": 1750,
"question": "Consider a system of variables where each variable is defined as follows: j = h + 7; h = t + 3; t = k + 5; l = a + 12; g = i + 9; a = 17; y = c + 13; n = e + 14; c = f + 8; e = y + 20; f = l + 11; k = a + 18; i = j + 9. If a = 17, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"v": "n + 12", "x": "v + 2", "s": "x + 14", "d": "s + 13", "a": "d + 9", "b": "a + 10", "f": "n + 7", "z": "f + 13", "y": "z + 19", "k": "y + 15", "j": "k + 3", "h": "j + 18", "n": 16}, "premises": {"n": 16}, "target": "b"}, "answer": {"steps": [["a", "d + 9", "d + 19"], ["d", "s + 13", "s + 32"], ["s", "x + 14", "x + 46"], ["x", "v + 2", "v + 48"], ["v", "n + 12", "n + 60"], ["n", 16, "76"]], "target_var_name": "b", "target_value": 76, "value_dict": {"n": 16}, "is_reverse": true}}
| 1,751
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = n + 7; y = z + 19; j = k + 3; d = s + 13; v = n + 12; k = y + 15; n = 16; h = j + 18; x = v + 2; b = a + 10; a = d + 9; z = f + 13; s = x + 14. Given that n = 16, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = d + 9 to b, which gives b = d + 19.\n2. Substitute d = s + 13 to b, which gives b = s + 32.\n3. Substitute s = x + 14 to b, which gives b = x + 46.\n4. Substitute x = v + 2 to b, which gives b = v + 48.\n5. Substitute v = n + 12 to b, which gives b = n + 60.\n6. Substitute n = 16 to b, which gives b = 76.\n\nThus, the final answer is b = \\boxed{76}.",
"index": 1751,
"question": "Suppose a collection of variables is related by the following definitions: f = n + 7; y = z + 19; j = k + 3; d = s + 13; v = n + 12; k = y + 15; n = 16; h = j + 18; x = v + 2; b = a + 10; a = d + 9; z = f + 13; s = x + 14. Given that n = 16, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"z": "q + 12", "j": "z + 9", "s": "j + 3", "o": "s + 20", "y": "o + 5", "x": "y + 8", "n": "q + 6", "k": "n + 1", "g": "k + 13", "a": "g + 11", "t": "a + 1", "v": "t + 12", "q": 5}, "premises": {"q": 5}, "target": "x"}, "answer": {"steps": [["y", "o + 5", "o + 13"], ["o", "s + 20", "s + 33"], ["s", "j + 3", "j + 36"], ["j", "z + 9", "z + 45"], ["z", "q + 12", "q + 57"], ["q", 5, "62"]], "target_var_name": "x", "target_value": 62, "value_dict": {"q": 5}, "is_reverse": true}}
| 1,752
| 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 = o + 5; s = j + 3; n = q + 6; q = 5; j = z + 9; x = y + 8; t = a + 1; z = q + 12; g = k + 13; a = g + 11; v = t + 12; o = s + 20; k = n + 1. If q = 5, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = o + 5 to x, which gives x = o + 13.\n2. Substitute o = s + 20 to x, which gives x = s + 33.\n3. Substitute s = j + 3 to x, which gives x = j + 36.\n4. Substitute j = z + 9 to x, which gives x = z + 45.\n5. Substitute z = q + 12 to x, which gives x = q + 57.\n6. Substitute q = 5 to x, which gives x = 62.\n\nThus, the final answer is x = \\boxed{62}.",
"index": 1752,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = o + 5; s = j + 3; n = q + 6; q = 5; j = z + 9; x = y + 8; t = a + 1; z = q + 12; g = k + 13; a = g + 11; v = t + 12; o = s + 20; k = n + 1. If q = 5, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"l": "a + 18", "g": "l + 16", "u": "g + 15", "n": "u + 2", "s": "n + 17", "f": "s + 18", "c": "a + 13", "j": "c + 6", "m": "j + 19", "i": "m + 18", "w": "i + 1", "d": "w + 15", "a": 10}, "premises": {"a": 10}, "target": "f"}, "answer": {"steps": [["s", "n + 17", "n + 35"], ["n", "u + 2", "u + 37"], ["u", "g + 15", "g + 52"], ["g", "l + 16", "l + 68"], ["l", "a + 18", "a + 86"], ["a", 10, "96"]], "target_var_name": "f", "target_value": 96, "value_dict": {"a": 10}, "is_reverse": true}}
| 1,753
| 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 + 15; c = a + 13; n = u + 2; g = l + 16; s = n + 17; i = m + 18; j = c + 6; f = s + 18; w = i + 1; m = j + 19; a = 10; l = a + 18; d = w + 15. If a = 10, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 96,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = n + 17 to f, which gives f = n + 35.\n2. Substitute n = u + 2 to f, which gives f = u + 37.\n3. Substitute u = g + 15 to f, which gives f = g + 52.\n4. Substitute g = l + 16 to f, which gives f = l + 68.\n5. Substitute l = a + 18 to f, which gives f = a + 86.\n6. Substitute a = 10 to f, which gives f = 96.\n\nThus, the final answer is f = \\boxed{96}.",
"index": 1753,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = g + 15; c = a + 13; n = u + 2; g = l + 16; s = n + 17; i = m + 18; j = c + 6; f = s + 18; w = i + 1; m = j + 19; a = 10; l = a + 18; d = w + 15. If a = 10, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"r": "l + 6", "h": "r + 2", "b": "h + 11", "i": "b + 14", "u": "i + 12", "m": "u + 5", "c": "l + 13", "x": "c + 10", "k": "x + 15", "q": "k + 11", "s": "q + 4", "t": "s + 8", "l": 1}, "premises": {"l": 1}, "target": "m"}, "answer": {"steps": [["u", "i + 12", "i + 17"], ["i", "b + 14", "b + 31"], ["b", "h + 11", "h + 42"], ["h", "r + 2", "r + 44"], ["r", "l + 6", "l + 50"], ["l", 1, "51"]], "target_var_name": "m", "target_value": 51, "value_dict": {"l": 1}, "is_reverse": true}}
| 1,754
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = r + 2; s = q + 4; l = 1; q = k + 11; r = l + 6; x = c + 10; u = i + 12; c = l + 13; b = h + 11; m = u + 5; k = x + 15; t = s + 8; i = b + 14. Given that l = 1, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = i + 12 to m, which gives m = i + 17.\n2. Substitute i = b + 14 to m, which gives m = b + 31.\n3. Substitute b = h + 11 to m, which gives m = h + 42.\n4. Substitute h = r + 2 to m, which gives m = r + 44.\n5. Substitute r = l + 6 to m, which gives m = l + 50.\n6. Substitute l = 1 to m, which gives m = 51.\n\nThus, the final answer is m = \\boxed{51}.",
"index": 1754,
"question": "Suppose a collection of variables is related by the following definitions: h = r + 2; s = q + 4; l = 1; q = k + 11; r = l + 6; x = c + 10; u = i + 12; c = l + 13; b = h + 11; m = u + 5; k = x + 15; t = s + 8; i = b + 14. Given that l = 1, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"a": "x + 14", "j": "a + 20", "t": "j + 18", "h": "t + 11", "s": "h + 9", "p": "s + 15", "y": "x + 9", "i": "y + 7", "q": "i + 7", "e": "q + 7", "r": "e + 2", "v": "r + 12", "x": 8}, "premises": {"x": 8}, "target": "p"}, "answer": {"steps": [["s", "h + 9", "h + 24"], ["h", "t + 11", "t + 35"], ["t", "j + 18", "j + 53"], ["j", "a + 20", "a + 73"], ["a", "x + 14", "x + 87"], ["x", 8, "95"]], "target_var_name": "p", "target_value": 95, "value_dict": {"x": 8}, "is_reverse": true}}
| 1,755
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = 8; p = s + 15; t = j + 18; s = h + 9; e = q + 7; r = e + 2; i = y + 7; y = x + 9; h = t + 11; v = r + 12; q = i + 7; j = a + 20; a = x + 14. If x = 8, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = h + 9 to p, which gives p = h + 24.\n2. Substitute h = t + 11 to p, which gives p = t + 35.\n3. Substitute t = j + 18 to p, which gives p = j + 53.\n4. Substitute j = a + 20 to p, which gives p = a + 73.\n5. Substitute a = x + 14 to p, which gives p = x + 87.\n6. Substitute x = 8 to p, which gives p = 95.\n\nThus, the final answer is p = \\boxed{95}.",
"index": 1755,
"question": "Consider a system of variables where each variable is defined as follows: x = 8; p = s + 15; t = j + 18; s = h + 9; e = q + 7; r = e + 2; i = y + 7; y = x + 9; h = t + 11; v = r + 12; q = i + 7; j = a + 20; a = x + 14. If x = 8, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"y": "g + 8", "j": "y + 3", "l": "j + 16", "d": "l + 19", "x": "d + 13", "k": "x + 14", "w": "g + 17", "e": "w + 6", "n": "e + 6", "p": "n + 13", "t": "p + 18", "a": "t + 14", "g": 15}, "premises": {"g": 15}, "target": "k"}, "answer": {"steps": [["x", "d + 13", "d + 27"], ["d", "l + 19", "l + 46"], ["l", "j + 16", "j + 62"], ["j", "y + 3", "y + 65"], ["y", "g + 8", "g + 73"], ["g", 15, "88"]], "target_var_name": "k", "target_value": 88, "value_dict": {"g": 15}, "is_reverse": true}}
| 1,756
| 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 = n + 13; g = 15; n = e + 6; j = y + 3; y = g + 8; w = g + 17; l = j + 16; t = p + 18; d = l + 19; k = x + 14; a = t + 14; e = w + 6; x = d + 13. If g = 15, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = d + 13 to k, which gives k = d + 27.\n2. Substitute d = l + 19 to k, which gives k = l + 46.\n3. Substitute l = j + 16 to k, which gives k = j + 62.\n4. Substitute j = y + 3 to k, which gives k = y + 65.\n5. Substitute y = g + 8 to k, which gives k = g + 73.\n6. Substitute g = 15 to k, which gives k = 88.\n\nThus, the final answer is k = \\boxed{88}.",
"index": 1756,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = n + 13; g = 15; n = e + 6; j = y + 3; y = g + 8; w = g + 17; l = j + 16; t = p + 18; d = l + 19; k = x + 14; a = t + 14; e = w + 6; x = d + 13. If g = 15, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"c": "p + 3", "h": "c + 18", "i": "h + 6", "v": "i + 9", "l": "v + 13", "z": "l + 3", "j": "p + 15", "f": "j + 14", "b": "f + 10", "y": "b + 17", "t": "y + 10", "u": "t + 13", "p": 12}, "premises": {"p": 12}, "target": "z"}, "answer": {"steps": [["l", "v + 13", "v + 16"], ["v", "i + 9", "i + 25"], ["i", "h + 6", "h + 31"], ["h", "c + 18", "c + 49"], ["c", "p + 3", "p + 52"], ["p", 12, "64"]], "target_var_name": "z", "target_value": 64, "value_dict": {"p": 12}, "is_reverse": true}}
| 1,757
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = v + 13; u = t + 13; b = f + 10; y = b + 17; p = 12; z = l + 3; j = p + 15; c = p + 3; i = h + 6; v = i + 9; h = c + 18; f = j + 14; t = y + 10. Given that p = 12, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = v + 13 to z, which gives z = v + 16.\n2. Substitute v = i + 9 to z, which gives z = i + 25.\n3. Substitute i = h + 6 to z, which gives z = h + 31.\n4. Substitute h = c + 18 to z, which gives z = c + 49.\n5. Substitute c = p + 3 to z, which gives z = p + 52.\n6. Substitute p = 12 to z, which gives z = 64.\n\nThus, the final answer is z = \\boxed{64}.",
"index": 1757,
"question": "Suppose a collection of variables is related by the following definitions: l = v + 13; u = t + 13; b = f + 10; y = b + 17; p = 12; z = l + 3; j = p + 15; c = p + 3; i = h + 6; v = i + 9; h = c + 18; f = j + 14; t = y + 10. Given that p = 12, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"m": "s + 6", "k": "m + 14", "e": "k + 7", "n": "e + 19", "d": "n + 10", "a": "d + 16", "u": "s + 6", "o": "u + 17", "x": "o + 5", "b": "x + 11", "h": "b + 8", "p": "h + 6", "s": 6}, "premises": {"s": 6}, "target": "a"}, "answer": {"steps": [["d", "n + 10", "n + 26"], ["n", "e + 19", "e + 45"], ["e", "k + 7", "k + 52"], ["k", "m + 14", "m + 66"], ["m", "s + 6", "s + 72"], ["s", 6, "78"]], "target_var_name": "a", "target_value": 78, "value_dict": {"s": 6}, "is_reverse": true}}
| 1,758
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = s + 6; n = e + 19; k = m + 14; d = n + 10; h = b + 8; p = h + 6; s = 6; x = o + 5; a = d + 16; e = k + 7; b = x + 11; u = s + 6; o = u + 17. Given that s = 6, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = n + 10 to a, which gives a = n + 26.\n2. Substitute n = e + 19 to a, which gives a = e + 45.\n3. Substitute e = k + 7 to a, which gives a = k + 52.\n4. Substitute k = m + 14 to a, which gives a = m + 66.\n5. Substitute m = s + 6 to a, which gives a = s + 72.\n6. Substitute s = 6 to a, which gives a = 78.\n\nThus, the final answer is a = \\boxed{78}.",
"index": 1758,
"question": "Suppose a collection of variables is related by the following definitions: m = s + 6; n = e + 19; k = m + 14; d = n + 10; h = b + 8; p = h + 6; s = 6; x = o + 5; a = d + 16; e = k + 7; b = x + 11; u = s + 6; o = u + 17. Given that s = 6, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"l": "r + 20", "f": "l + 16", "g": "f + 1", "z": "g + 9", "u": "z + 8", "m": "u + 16", "e": "r + 8", "y": "e + 1", "i": "y + 9", "h": "i + 7", "p": "h + 6", "q": "p + 11", "r": 5}, "premises": {"r": 5}, "target": "m"}, "answer": {"steps": [["u", "z + 8", "z + 24"], ["z", "g + 9", "g + 33"], ["g", "f + 1", "f + 34"], ["f", "l + 16", "l + 50"], ["l", "r + 20", "r + 70"], ["r", 5, "75"]], "target_var_name": "m", "target_value": 75, "value_dict": {"r": 5}, "is_reverse": true}}
| 1,759
| 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 = i + 7; q = p + 11; g = f + 1; r = 5; f = l + 16; i = y + 9; y = e + 1; p = h + 6; l = r + 20; m = u + 16; u = z + 8; z = g + 9; e = r + 8. If r = 5, what is the resulting 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 u = z + 8 to m, which gives m = z + 24.\n2. Substitute z = g + 9 to m, which gives m = g + 33.\n3. Substitute g = f + 1 to m, which gives m = f + 34.\n4. Substitute f = l + 16 to m, which gives m = l + 50.\n5. Substitute l = r + 20 to m, which gives m = r + 70.\n6. Substitute r = 5 to m, which gives m = 75.\n\nThus, the final answer is m = \\boxed{75}.",
"index": 1759,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = i + 7; q = p + 11; g = f + 1; r = 5; f = l + 16; i = y + 9; y = e + 1; p = h + 6; l = r + 20; m = u + 16; u = z + 8; z = g + 9; e = r + 8. If r = 5, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"j": "p + 9", "h": "j + 14", "m": "h + 20", "l": "m + 17", "w": "l + 13", "s": "w + 20", "r": "p + 18", "b": "r + 5", "f": "b + 16", "g": "f + 7", "c": "g + 2", "n": "c + 9", "p": 12}, "premises": {"p": 12}, "target": "s"}, "answer": {"steps": [["w", "l + 13", "l + 33"], ["l", "m + 17", "m + 50"], ["m", "h + 20", "h + 70"], ["h", "j + 14", "j + 84"], ["j", "p + 9", "p + 93"], ["p", 12, "105"]], "target_var_name": "s", "target_value": 105, "value_dict": {"p": 12}, "is_reverse": true}}
| 1,760
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = j + 14; s = w + 20; j = p + 9; n = c + 9; l = m + 17; g = f + 7; f = b + 16; w = l + 13; r = p + 18; c = g + 2; p = 12; m = h + 20; b = r + 5. Given that p = 12, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 105,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = l + 13 to s, which gives s = l + 33.\n2. Substitute l = m + 17 to s, which gives s = m + 50.\n3. Substitute m = h + 20 to s, which gives s = h + 70.\n4. Substitute h = j + 14 to s, which gives s = j + 84.\n5. Substitute j = p + 9 to s, which gives s = p + 93.\n6. Substitute p = 12 to s, which gives s = 105.\n\nThus, the final answer is s = \\boxed{105}.",
"index": 1760,
"question": "Suppose a collection of variables is related by the following definitions: h = j + 14; s = w + 20; j = p + 9; n = c + 9; l = m + 17; g = f + 7; f = b + 16; w = l + 13; r = p + 18; c = g + 2; p = 12; m = h + 20; b = r + 5. Given that p = 12, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"c": "s + 18", "d": "c + 14", "h": "d + 4", "i": "h + 15", "q": "i + 4", "r": "q + 4", "n": "s + 14", "v": "n + 1", "o": "v + 10", "j": "o + 15", "g": "j + 15", "e": "g + 15", "s": 18}, "premises": {"s": 18}, "target": "r"}, "answer": {"steps": [["q", "i + 4", "i + 8"], ["i", "h + 15", "h + 23"], ["h", "d + 4", "d + 27"], ["d", "c + 14", "c + 41"], ["c", "s + 18", "s + 59"], ["s", 18, "77"]], "target_var_name": "r", "target_value": 77, "value_dict": {"s": 18}, "is_reverse": true}}
| 1,761
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = g + 15; g = j + 15; c = s + 18; h = d + 4; r = q + 4; q = i + 4; n = s + 14; s = 18; d = c + 14; o = v + 10; j = o + 15; v = n + 1; i = h + 15. Given that s = 18, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = i + 4 to r, which gives r = i + 8.\n2. Substitute i = h + 15 to r, which gives r = h + 23.\n3. Substitute h = d + 4 to r, which gives r = d + 27.\n4. Substitute d = c + 14 to r, which gives r = c + 41.\n5. Substitute c = s + 18 to r, which gives r = s + 59.\n6. Substitute s = 18 to r, which gives r = 77.\n\nThus, the final answer is r = \\boxed{77}.",
"index": 1761,
"question": "Suppose a collection of variables is related by the following definitions: e = g + 15; g = j + 15; c = s + 18; h = d + 4; r = q + 4; q = i + 4; n = s + 14; s = 18; d = c + 14; o = v + 10; j = o + 15; v = n + 1; i = h + 15. Given that s = 18, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"r": "l + 3", "w": "r + 4", "h": "w + 17", "n": "h + 4", "b": "n + 8", "x": "b + 8", "m": "l + 17", "u": "m + 17", "p": "u + 1", "f": "p + 18", "o": "f + 15", "e": "o + 17", "l": 12}, "premises": {"l": 12}, "target": "x"}, "answer": {"steps": [["b", "n + 8", "n + 16"], ["n", "h + 4", "h + 20"], ["h", "w + 17", "w + 37"], ["w", "r + 4", "r + 41"], ["r", "l + 3", "l + 44"], ["l", 12, "56"]], "target_var_name": "x", "target_value": 56, "value_dict": {"l": 12}, "is_reverse": true}}
| 1,762
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = l + 3; e = o + 17; b = n + 8; p = u + 1; f = p + 18; x = b + 8; n = h + 4; h = w + 17; m = l + 17; w = r + 4; u = m + 17; o = f + 15; l = 12. Given that l = 12, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = n + 8 to x, which gives x = n + 16.\n2. Substitute n = h + 4 to x, which gives x = h + 20.\n3. Substitute h = w + 17 to x, which gives x = w + 37.\n4. Substitute w = r + 4 to x, which gives x = r + 41.\n5. Substitute r = l + 3 to x, which gives x = l + 44.\n6. Substitute l = 12 to x, which gives x = 56.\n\nThus, the final answer is x = \\boxed{56}.",
"index": 1762,
"question": "Suppose a collection of variables is related by the following definitions: r = l + 3; e = o + 17; b = n + 8; p = u + 1; f = p + 18; x = b + 8; n = h + 4; h = w + 17; m = l + 17; w = r + 4; u = m + 17; o = f + 15; l = 12. Given that l = 12, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"j": "y + 1", "n": "j + 6", "b": "n + 10", "d": "b + 6", "g": "d + 7", "e": "g + 19", "o": "y + 15", "s": "o + 10", "f": "s + 20", "m": "f + 5", "h": "m + 13", "k": "h + 13", "y": 10}, "premises": {"y": 10}, "target": "e"}, "answer": {"steps": [["g", "d + 7", "d + 26"], ["d", "b + 6", "b + 32"], ["b", "n + 10", "n + 42"], ["n", "j + 6", "j + 48"], ["j", "y + 1", "y + 49"], ["y", 10, "59"]], "target_var_name": "e", "target_value": 59, "value_dict": {"y": 10}, "is_reverse": true}}
| 1,763
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = g + 19; n = j + 6; o = y + 15; g = d + 7; s = o + 10; y = 10; f = s + 20; b = n + 10; k = h + 13; j = y + 1; m = f + 5; h = m + 13; d = b + 6. Given that y = 10, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = d + 7 to e, which gives e = d + 26.\n2. Substitute d = b + 6 to e, which gives e = b + 32.\n3. Substitute b = n + 10 to e, which gives e = n + 42.\n4. Substitute n = j + 6 to e, which gives e = j + 48.\n5. Substitute j = y + 1 to e, which gives e = y + 49.\n6. Substitute y = 10 to e, which gives e = 59.\n\nThus, the final answer is e = \\boxed{59}.",
"index": 1763,
"question": "Suppose a collection of variables is related by the following definitions: e = g + 19; n = j + 6; o = y + 15; g = d + 7; s = o + 10; y = 10; f = s + 20; b = n + 10; k = h + 13; j = y + 1; m = f + 5; h = m + 13; d = b + 6. Given that y = 10, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"o": "x + 8", "r": "o + 8", "y": "r + 2", "a": "y + 4", "w": "a + 2", "u": "w + 5", "i": "x + 9", "e": "i + 4", "p": "e + 11", "g": "p + 2", "l": "g + 8", "n": "l + 19", "x": 9}, "premises": {"x": 9}, "target": "u"}, "answer": {"steps": [["w", "a + 2", "a + 7"], ["a", "y + 4", "y + 11"], ["y", "r + 2", "r + 13"], ["r", "o + 8", "o + 21"], ["o", "x + 8", "x + 29"], ["x", 9, "38"]], "target_var_name": "u", "target_value": 38, "value_dict": {"x": 9}, "is_reverse": true}}
| 1,764
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = g + 8; e = i + 4; g = p + 2; r = o + 8; u = w + 5; p = e + 11; n = l + 19; a = y + 4; x = 9; w = a + 2; i = x + 9; o = x + 8; y = r + 2. If x = 9, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 38,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = a + 2 to u, which gives u = a + 7.\n2. Substitute a = y + 4 to u, which gives u = y + 11.\n3. Substitute y = r + 2 to u, which gives u = r + 13.\n4. Substitute r = o + 8 to u, which gives u = o + 21.\n5. Substitute o = x + 8 to u, which gives u = x + 29.\n6. Substitute x = 9 to u, which gives u = 38.\n\nThus, the final answer is u = \\boxed{38}.",
"index": 1764,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = g + 8; e = i + 4; g = p + 2; r = o + 8; u = w + 5; p = e + 11; n = l + 19; a = y + 4; x = 9; w = a + 2; i = x + 9; o = x + 8; y = r + 2. If x = 9, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"i": "b + 3", "l": "i + 11", "z": "l + 5", "h": "z + 8", "m": "h + 3", "e": "m + 1", "x": "b + 6", "g": "x + 12", "d": "g + 11", "p": "d + 3", "o": "p + 14", "a": "o + 16", "b": 3}, "premises": {"b": 3}, "target": "e"}, "answer": {"steps": [["m", "h + 3", "h + 4"], ["h", "z + 8", "z + 12"], ["z", "l + 5", "l + 17"], ["l", "i + 11", "i + 28"], ["i", "b + 3", "b + 31"], ["b", 3, "34"]], "target_var_name": "e", "target_value": 34, "value_dict": {"b": 3}, "is_reverse": true}}
| 1,765
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = x + 12; m = h + 3; x = b + 6; o = p + 14; h = z + 8; e = m + 1; d = g + 11; l = i + 11; p = d + 3; z = l + 5; b = 3; i = b + 3; a = o + 16. Given that b = 3, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 34,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = h + 3 to e, which gives e = h + 4.\n2. Substitute h = z + 8 to e, which gives e = z + 12.\n3. Substitute z = l + 5 to e, which gives e = l + 17.\n4. Substitute l = i + 11 to e, which gives e = i + 28.\n5. Substitute i = b + 3 to e, which gives e = b + 31.\n6. Substitute b = 3 to e, which gives e = 34.\n\nThus, the final answer is e = \\boxed{34}.",
"index": 1765,
"question": "Suppose a collection of variables is related by the following definitions: g = x + 12; m = h + 3; x = b + 6; o = p + 14; h = z + 8; e = m + 1; d = g + 11; l = i + 11; p = d + 3; z = l + 5; b = 3; i = b + 3; a = o + 16. Given that b = 3, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"e": "r + 8", "g": "e + 17", "c": "g + 10", "s": "c + 1", "t": "s + 3", "m": "t + 3", "p": "r + 4", "b": "p + 11", "w": "b + 9", "q": "w + 19", "o": "q + 5", "k": "o + 17", "r": 3}, "premises": {"r": 3}, "target": "m"}, "answer": {"steps": [["t", "s + 3", "s + 6"], ["s", "c + 1", "c + 7"], ["c", "g + 10", "g + 17"], ["g", "e + 17", "e + 34"], ["e", "r + 8", "r + 42"], ["r", 3, "45"]], "target_var_name": "m", "target_value": 45, "value_dict": {"r": 3}, "is_reverse": true}}
| 1,766
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = w + 19; c = g + 10; m = t + 3; k = o + 17; o = q + 5; g = e + 17; b = p + 11; r = 3; t = s + 3; w = b + 9; s = c + 1; e = r + 8; p = r + 4. If r = 3, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 45,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = s + 3 to m, which gives m = s + 6.\n2. Substitute s = c + 1 to m, which gives m = c + 7.\n3. Substitute c = g + 10 to m, which gives m = g + 17.\n4. Substitute g = e + 17 to m, which gives m = e + 34.\n5. Substitute e = r + 8 to m, which gives m = r + 42.\n6. Substitute r = 3 to m, which gives m = 45.\n\nThus, the final answer is m = \\boxed{45}.",
"index": 1766,
"question": "Consider a system of variables where each variable is defined as follows: q = w + 19; c = g + 10; m = t + 3; k = o + 17; o = q + 5; g = e + 17; b = p + 11; r = 3; t = s + 3; w = b + 9; s = c + 1; e = r + 8; p = r + 4. If r = 3, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"t": "r + 7", "k": "t + 9", "e": "k + 4", "j": "e + 6", "p": "j + 6", "y": "p + 1", "c": "r + 10", "x": "c + 2", "z": "x + 14", "a": "z + 16", "o": "a + 20", "h": "o + 6", "r": 8}, "premises": {"r": 8}, "target": "y"}, "answer": {"steps": [["p", "j + 6", "j + 7"], ["j", "e + 6", "e + 13"], ["e", "k + 4", "k + 17"], ["k", "t + 9", "t + 26"], ["t", "r + 7", "r + 33"], ["r", 8, "41"]], "target_var_name": "y", "target_value": 41, "value_dict": {"r": 8}, "is_reverse": true}}
| 1,767
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = 8; t = r + 7; e = k + 4; a = z + 16; o = a + 20; c = r + 10; x = c + 2; j = e + 6; y = p + 1; h = o + 6; p = j + 6; z = x + 14; k = t + 9. Given that r = 8, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 41,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = j + 6 to y, which gives y = j + 7.\n2. Substitute j = e + 6 to y, which gives y = e + 13.\n3. Substitute e = k + 4 to y, which gives y = k + 17.\n4. Substitute k = t + 9 to y, which gives y = t + 26.\n5. Substitute t = r + 7 to y, which gives y = r + 33.\n6. Substitute r = 8 to y, which gives y = 41.\n\nThus, the final answer is y = \\boxed{41}.",
"index": 1767,
"question": "Suppose a collection of variables is related by the following definitions: r = 8; t = r + 7; e = k + 4; a = z + 16; o = a + 20; c = r + 10; x = c + 2; j = e + 6; y = p + 1; h = o + 6; p = j + 6; z = x + 14; k = t + 9. Given that r = 8, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"j": "w + 19", "t": "j + 8", "b": "t + 1", "q": "b + 3", "k": "q + 4", "a": "k + 14", "g": "w + 11", "y": "g + 18", "r": "y + 10", "f": "r + 2", "s": "f + 11", "v": "s + 10", "w": 3}, "premises": {"w": 3}, "target": "a"}, "answer": {"steps": [["k", "q + 4", "q + 18"], ["q", "b + 3", "b + 21"], ["b", "t + 1", "t + 22"], ["t", "j + 8", "j + 30"], ["j", "w + 19", "w + 49"], ["w", 3, "52"]], "target_var_name": "a", "target_value": 52, "value_dict": {"w": 3}, "is_reverse": true}}
| 1,768
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = w + 11; f = r + 2; k = q + 4; b = t + 1; s = f + 11; y = g + 18; w = 3; q = b + 3; a = k + 14; j = w + 19; r = y + 10; v = s + 10; t = j + 8. Given that w = 3, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 52,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = q + 4 to a, which gives a = q + 18.\n2. Substitute q = b + 3 to a, which gives a = b + 21.\n3. Substitute b = t + 1 to a, which gives a = t + 22.\n4. Substitute t = j + 8 to a, which gives a = j + 30.\n5. Substitute j = w + 19 to a, which gives a = w + 49.\n6. Substitute w = 3 to a, which gives a = 52.\n\nThus, the final answer is a = \\boxed{52}.",
"index": 1768,
"question": "Suppose a collection of variables is related by the following definitions: g = w + 11; f = r + 2; k = q + 4; b = t + 1; s = f + 11; y = g + 18; w = 3; q = b + 3; a = k + 14; j = w + 19; r = y + 10; v = s + 10; t = j + 8. Given that w = 3, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"g": "h + 11", "n": "g + 6", "f": "n + 10", "w": "f + 19", "l": "w + 6", "m": "l + 3", "i": "h + 15", "e": "i + 2", "k": "e + 3", "r": "k + 6", "v": "r + 6", "t": "v + 13", "h": 12}, "premises": {"h": 12}, "target": "m"}, "answer": {"steps": [["l", "w + 6", "w + 9"], ["w", "f + 19", "f + 28"], ["f", "n + 10", "n + 38"], ["n", "g + 6", "g + 44"], ["g", "h + 11", "h + 55"], ["h", 12, "67"]], "target_var_name": "m", "target_value": 67, "value_dict": {"h": 12}, "is_reverse": true}}
| 1,769
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = 12; f = n + 10; k = e + 3; n = g + 6; e = i + 2; v = r + 6; l = w + 6; r = k + 6; g = h + 11; w = f + 19; t = v + 13; m = l + 3; i = h + 15. Given that h = 12, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = w + 6 to m, which gives m = w + 9.\n2. Substitute w = f + 19 to m, which gives m = f + 28.\n3. Substitute f = n + 10 to m, which gives m = n + 38.\n4. Substitute n = g + 6 to m, which gives m = g + 44.\n5. Substitute g = h + 11 to m, which gives m = h + 55.\n6. Substitute h = 12 to m, which gives m = 67.\n\nThus, the final answer is m = \\boxed{67}.",
"index": 1769,
"question": "Suppose a collection of variables is related by the following definitions: h = 12; f = n + 10; k = e + 3; n = g + 6; e = i + 2; v = r + 6; l = w + 6; r = k + 6; g = h + 11; w = f + 19; t = v + 13; m = l + 3; i = h + 15. Given that h = 12, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"v": "y + 16", "w": "v + 9", "f": "w + 15", "c": "f + 16", "e": "c + 2", "r": "e + 9", "m": "y + 12", "k": "m + 19", "i": "k + 13", "g": "i + 17", "o": "g + 17", "x": "o + 13", "y": 4}, "premises": {"y": 4}, "target": "r"}, "answer": {"steps": [["e", "c + 2", "c + 11"], ["c", "f + 16", "f + 27"], ["f", "w + 15", "w + 42"], ["w", "v + 9", "v + 51"], ["v", "y + 16", "y + 67"], ["y", 4, "71"]], "target_var_name": "r", "target_value": 71, "value_dict": {"y": 4}, "is_reverse": true}}
| 1,770
| 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 = i + 17; k = m + 19; v = y + 16; f = w + 15; i = k + 13; o = g + 17; x = o + 13; r = e + 9; w = v + 9; e = c + 2; m = y + 12; c = f + 16; y = 4. If y = 4, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = c + 2 to r, which gives r = c + 11.\n2. Substitute c = f + 16 to r, which gives r = f + 27.\n3. Substitute f = w + 15 to r, which gives r = w + 42.\n4. Substitute w = v + 9 to r, which gives r = v + 51.\n5. Substitute v = y + 16 to r, which gives r = y + 67.\n6. Substitute y = 4 to r, which gives r = 71.\n\nThus, the final answer is r = \\boxed{71}.",
"index": 1770,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = i + 17; k = m + 19; v = y + 16; f = w + 15; i = k + 13; o = g + 17; x = o + 13; r = e + 9; w = v + 9; e = c + 2; m = y + 12; c = f + 16; y = 4. If y = 4, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"v": "z + 6", "n": "v + 15", "s": "n + 6", "c": "s + 15", "r": "c + 10", "a": "r + 10", "e": "z + 3", "m": "e + 1", "i": "m + 4", "u": "i + 16", "w": "u + 11", "j": "w + 6", "z": 12}, "premises": {"z": 12}, "target": "a"}, "answer": {"steps": [["r", "c + 10", "c + 20"], ["c", "s + 15", "s + 35"], ["s", "n + 6", "n + 41"], ["n", "v + 15", "v + 56"], ["v", "z + 6", "z + 62"], ["z", 12, "74"]], "target_var_name": "a", "target_value": 74, "value_dict": {"z": 12}, "is_reverse": true}}
| 1,771
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = z + 6; i = m + 4; a = r + 10; n = v + 15; m = e + 1; w = u + 11; z = 12; c = s + 15; e = z + 3; s = n + 6; r = c + 10; j = w + 6; u = i + 16. Given that z = 12, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = c + 10 to a, which gives a = c + 20.\n2. Substitute c = s + 15 to a, which gives a = s + 35.\n3. Substitute s = n + 6 to a, which gives a = n + 41.\n4. Substitute n = v + 15 to a, which gives a = v + 56.\n5. Substitute v = z + 6 to a, which gives a = z + 62.\n6. Substitute z = 12 to a, which gives a = 74.\n\nThus, the final answer is a = \\boxed{74}.",
"index": 1771,
"question": "Suppose a collection of variables is related by the following definitions: v = z + 6; i = m + 4; a = r + 10; n = v + 15; m = e + 1; w = u + 11; z = 12; c = s + 15; e = z + 3; s = n + 6; r = c + 10; j = w + 6; u = i + 16. Given that z = 12, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"k": "v + 19", "y": "k + 20", "c": "y + 6", "l": "c + 2", "w": "l + 3", "z": "w + 4", "m": "v + 7", "b": "m + 8", "d": "b + 3", "j": "d + 5", "i": "j + 16", "u": "i + 16", "v": 15}, "premises": {"v": 15}, "target": "z"}, "answer": {"steps": [["w", "l + 3", "l + 7"], ["l", "c + 2", "c + 9"], ["c", "y + 6", "y + 15"], ["y", "k + 20", "k + 35"], ["k", "v + 19", "v + 54"], ["v", 15, "69"]], "target_var_name": "z", "target_value": 69, "value_dict": {"v": 15}, "is_reverse": true}}
| 1,772
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = c + 2; d = b + 3; c = y + 6; b = m + 8; i = j + 16; y = k + 20; j = d + 5; k = v + 19; u = i + 16; z = w + 4; m = v + 7; v = 15; w = l + 3. Given that v = 15, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = l + 3 to z, which gives z = l + 7.\n2. Substitute l = c + 2 to z, which gives z = c + 9.\n3. Substitute c = y + 6 to z, which gives z = y + 15.\n4. Substitute y = k + 20 to z, which gives z = k + 35.\n5. Substitute k = v + 19 to z, which gives z = v + 54.\n6. Substitute v = 15 to z, which gives z = 69.\n\nThus, the final answer is z = \\boxed{69}.",
"index": 1772,
"question": "Suppose a collection of variables is related by the following definitions: l = c + 2; d = b + 3; c = y + 6; b = m + 8; i = j + 16; y = k + 20; j = d + 5; k = v + 19; u = i + 16; z = w + 4; m = v + 7; v = 15; w = l + 3. Given that v = 15, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"c": "k + 18", "u": "c + 10", "t": "u + 6", "p": "t + 18", "h": "p + 6", "x": "h + 9", "y": "k + 7", "l": "y + 3", "m": "l + 13", "n": "m + 1", "g": "n + 3", "i": "g + 19", "k": 14}, "premises": {"k": 14}, "target": "x"}, "answer": {"steps": [["h", "p + 6", "p + 15"], ["p", "t + 18", "t + 33"], ["t", "u + 6", "u + 39"], ["u", "c + 10", "c + 49"], ["c", "k + 18", "k + 67"], ["k", 14, "81"]], "target_var_name": "x", "target_value": 81, "value_dict": {"k": 14}, "is_reverse": true}}
| 1,773
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = k + 18; k = 14; h = p + 6; l = y + 3; t = u + 6; u = c + 10; p = t + 18; g = n + 3; i = g + 19; n = m + 1; x = h + 9; m = l + 13; y = k + 7. If k = 14, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = p + 6 to x, which gives x = p + 15.\n2. Substitute p = t + 18 to x, which gives x = t + 33.\n3. Substitute t = u + 6 to x, which gives x = u + 39.\n4. Substitute u = c + 10 to x, which gives x = c + 49.\n5. Substitute c = k + 18 to x, which gives x = k + 67.\n6. Substitute k = 14 to x, which gives x = 81.\n\nThus, the final answer is x = \\boxed{81}.",
"index": 1773,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = k + 18; k = 14; h = p + 6; l = y + 3; t = u + 6; u = c + 10; p = t + 18; g = n + 3; i = g + 19; n = m + 1; x = h + 9; m = l + 13; y = k + 7. If k = 14, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"c": "k + 6", "u": "c + 20", "g": "u + 20", "l": "g + 15", "y": "l + 4", "o": "y + 7", "j": "k + 20", "p": "j + 14", "d": "p + 18", "h": "d + 3", "r": "h + 12", "b": "r + 9", "k": 9}, "premises": {"k": 9}, "target": "o"}, "answer": {"steps": [["y", "l + 4", "l + 11"], ["l", "g + 15", "g + 26"], ["g", "u + 20", "u + 46"], ["u", "c + 20", "c + 66"], ["c", "k + 6", "k + 72"], ["k", 9, "81"]], "target_var_name": "o", "target_value": 81, "value_dict": {"k": 9}, "is_reverse": true}}
| 1,774
| 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 = h + 12; d = p + 18; o = y + 7; h = d + 3; p = j + 14; b = r + 9; l = g + 15; u = c + 20; k = 9; g = u + 20; c = k + 6; y = l + 4; j = k + 20. If k = 9, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = l + 4 to o, which gives o = l + 11.\n2. Substitute l = g + 15 to o, which gives o = g + 26.\n3. Substitute g = u + 20 to o, which gives o = u + 46.\n4. Substitute u = c + 20 to o, which gives o = c + 66.\n5. Substitute c = k + 6 to o, which gives o = k + 72.\n6. Substitute k = 9 to o, which gives o = 81.\n\nThus, the final answer is o = \\boxed{81}.",
"index": 1774,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = h + 12; d = p + 18; o = y + 7; h = d + 3; p = j + 14; b = r + 9; l = g + 15; u = c + 20; k = 9; g = u + 20; c = k + 6; y = l + 4; j = k + 20. If k = 9, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"w": "p + 10", "s": "w + 19", "y": "s + 5", "a": "y + 7", "v": "a + 10", "j": "v + 9", "k": "p + 6", "b": "k + 11", "n": "b + 7", "o": "n + 4", "f": "o + 17", "c": "f + 20", "p": 14}, "premises": {"p": 14}, "target": "j"}, "answer": {"steps": [["v", "a + 10", "a + 19"], ["a", "y + 7", "y + 26"], ["y", "s + 5", "s + 31"], ["s", "w + 19", "w + 50"], ["w", "p + 10", "p + 60"], ["p", 14, "74"]], "target_var_name": "j", "target_value": 74, "value_dict": {"p": 14}, "is_reverse": true}}
| 1,775
| 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 = b + 7; w = p + 10; j = v + 9; c = f + 20; y = s + 5; f = o + 17; v = a + 10; p = 14; b = k + 11; o = n + 4; s = w + 19; a = y + 7; k = p + 6. If p = 14, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = a + 10 to j, which gives j = a + 19.\n2. Substitute a = y + 7 to j, which gives j = y + 26.\n3. Substitute y = s + 5 to j, which gives j = s + 31.\n4. Substitute s = w + 19 to j, which gives j = w + 50.\n5. Substitute w = p + 10 to j, which gives j = p + 60.\n6. Substitute p = 14 to j, which gives j = 74.\n\nThus, the final answer is j = \\boxed{74}.",
"index": 1775,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = b + 7; w = p + 10; j = v + 9; c = f + 20; y = s + 5; f = o + 17; v = a + 10; p = 14; b = k + 11; o = n + 4; s = w + 19; a = y + 7; k = p + 6. If p = 14, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"n": "j + 1", "l": "n + 3", "f": "l + 14", "u": "f + 7", "e": "u + 8", "x": "e + 2", "a": "j + 16", "b": "a + 13", "i": "b + 15", "s": "i + 17", "y": "s + 12", "h": "y + 6", "j": 16}, "premises": {"j": 16}, "target": "x"}, "answer": {"steps": [["e", "u + 8", "u + 10"], ["u", "f + 7", "f + 17"], ["f", "l + 14", "l + 31"], ["l", "n + 3", "n + 34"], ["n", "j + 1", "j + 35"], ["j", 16, "51"]], "target_var_name": "x", "target_value": 51, "value_dict": {"j": 16}, "is_reverse": true}}
| 1,776
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = e + 2; y = s + 12; s = i + 17; n = j + 1; a = j + 16; j = 16; u = f + 7; l = n + 3; b = a + 13; i = b + 15; e = u + 8; f = l + 14; h = y + 6. Given that j = 16, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = u + 8 to x, which gives x = u + 10.\n2. Substitute u = f + 7 to x, which gives x = f + 17.\n3. Substitute f = l + 14 to x, which gives x = l + 31.\n4. Substitute l = n + 3 to x, which gives x = n + 34.\n5. Substitute n = j + 1 to x, which gives x = j + 35.\n6. Substitute j = 16 to x, which gives x = 51.\n\nThus, the final answer is x = \\boxed{51}.",
"index": 1776,
"question": "Suppose a collection of variables is related by the following definitions: x = e + 2; y = s + 12; s = i + 17; n = j + 1; a = j + 16; j = 16; u = f + 7; l = n + 3; b = a + 13; i = b + 15; e = u + 8; f = l + 14; h = y + 6. Given that j = 16, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"s": "g + 16", "e": "s + 3", "d": "e + 2", "f": "d + 10", "h": "f + 14", "m": "h + 2", "l": "g + 10", "a": "l + 6", "p": "a + 16", "t": "p + 16", "v": "t + 5", "o": "v + 18", "g": 14}, "premises": {"g": 14}, "target": "m"}, "answer": {"steps": [["h", "f + 14", "f + 16"], ["f", "d + 10", "d + 26"], ["d", "e + 2", "e + 28"], ["e", "s + 3", "s + 31"], ["s", "g + 16", "g + 47"], ["g", 14, "61"]], "target_var_name": "m", "target_value": 61, "value_dict": {"g": 14}, "is_reverse": true}}
| 1,777
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = g + 16; v = t + 5; p = a + 16; g = 14; f = d + 10; a = l + 6; l = g + 10; d = e + 2; o = v + 18; t = p + 16; h = f + 14; e = s + 3; m = h + 2. Given that g = 14, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = f + 14 to m, which gives m = f + 16.\n2. Substitute f = d + 10 to m, which gives m = d + 26.\n3. Substitute d = e + 2 to m, which gives m = e + 28.\n4. Substitute e = s + 3 to m, which gives m = s + 31.\n5. Substitute s = g + 16 to m, which gives m = g + 47.\n6. Substitute g = 14 to m, which gives m = 61.\n\nThus, the final answer is m = \\boxed{61}.",
"index": 1777,
"question": "Suppose a collection of variables is related by the following definitions: s = g + 16; v = t + 5; p = a + 16; g = 14; f = d + 10; a = l + 6; l = g + 10; d = e + 2; o = v + 18; t = p + 16; h = f + 14; e = s + 3; m = h + 2. Given that g = 14, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"o": "r + 17", "g": "o + 9", "b": "g + 16", "l": "b + 5", "w": "l + 9", "f": "w + 9", "m": "r + 9", "s": "m + 3", "z": "s + 12", "y": "z + 15", "a": "y + 6", "u": "a + 7", "r": 5}, "premises": {"r": 5}, "target": "f"}, "answer": {"steps": [["w", "l + 9", "l + 18"], ["l", "b + 5", "b + 23"], ["b", "g + 16", "g + 39"], ["g", "o + 9", "o + 48"], ["o", "r + 17", "r + 65"], ["r", 5, "70"]], "target_var_name": "f", "target_value": 70, "value_dict": {"r": 5}, "is_reverse": true}}
| 1,778
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = o + 9; w = l + 9; y = z + 15; u = a + 7; b = g + 16; m = r + 9; r = 5; a = y + 6; s = m + 3; l = b + 5; z = s + 12; o = r + 17; f = w + 9. Given that r = 5, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = l + 9 to f, which gives f = l + 18.\n2. Substitute l = b + 5 to f, which gives f = b + 23.\n3. Substitute b = g + 16 to f, which gives f = g + 39.\n4. Substitute g = o + 9 to f, which gives f = o + 48.\n5. Substitute o = r + 17 to f, which gives f = r + 65.\n6. Substitute r = 5 to f, which gives f = 70.\n\nThus, the final answer is f = \\boxed{70}.",
"index": 1778,
"question": "Suppose a collection of variables is related by the following definitions: g = o + 9; w = l + 9; y = z + 15; u = a + 7; b = g + 16; m = r + 9; r = 5; a = y + 6; s = m + 3; l = b + 5; z = s + 12; o = r + 17; f = w + 9. Given that r = 5, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"f": "h + 20", "k": "f + 18", "e": "k + 1", "m": "e + 20", "i": "m + 14", "r": "i + 14", "u": "h + 5", "p": "u + 10", "g": "p + 1", "a": "g + 20", "s": "a + 14", "q": "s + 11", "h": 6}, "premises": {"h": 6}, "target": "r"}, "answer": {"steps": [["i", "m + 14", "m + 28"], ["m", "e + 20", "e + 48"], ["e", "k + 1", "k + 49"], ["k", "f + 18", "f + 67"], ["f", "h + 20", "h + 87"], ["h", 6, "93"]], "target_var_name": "r", "target_value": 93, "value_dict": {"h": 6}, "is_reverse": true}}
| 1,779
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = h + 5; i = m + 14; g = p + 1; m = e + 20; p = u + 10; e = k + 1; r = i + 14; f = h + 20; s = a + 14; k = f + 18; q = s + 11; a = g + 20; h = 6. If h = 6, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = m + 14 to r, which gives r = m + 28.\n2. Substitute m = e + 20 to r, which gives r = e + 48.\n3. Substitute e = k + 1 to r, which gives r = k + 49.\n4. Substitute k = f + 18 to r, which gives r = f + 67.\n5. Substitute f = h + 20 to r, which gives r = h + 87.\n6. Substitute h = 6 to r, which gives r = 93.\n\nThus, the final answer is r = \\boxed{93}.",
"index": 1779,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = h + 5; i = m + 14; g = p + 1; m = e + 20; p = u + 10; e = k + 1; r = i + 14; f = h + 20; s = a + 14; k = f + 18; q = s + 11; a = g + 20; h = 6. If h = 6, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"x": "n + 12", "q": "x + 11", "h": "q + 7", "m": "h + 6", "o": "m + 9", "a": "o + 9", "j": "n + 18", "d": "j + 8", "z": "d + 15", "f": "z + 20", "r": "f + 14", "w": "r + 12", "n": 16}, "premises": {"n": 16}, "target": "a"}, "answer": {"steps": [["o", "m + 9", "m + 18"], ["m", "h + 6", "h + 24"], ["h", "q + 7", "q + 31"], ["q", "x + 11", "x + 42"], ["x", "n + 12", "n + 54"], ["n", 16, "70"]], "target_var_name": "a", "target_value": 70, "value_dict": {"n": 16}, "is_reverse": true}}
| 1,780
| 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 = q + 7; m = h + 6; x = n + 12; o = m + 9; f = z + 20; a = o + 9; q = x + 11; j = n + 18; w = r + 12; z = d + 15; r = f + 14; n = 16; d = j + 8. If n = 16, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = m + 9 to a, which gives a = m + 18.\n2. Substitute m = h + 6 to a, which gives a = h + 24.\n3. Substitute h = q + 7 to a, which gives a = q + 31.\n4. Substitute q = x + 11 to a, which gives a = x + 42.\n5. Substitute x = n + 12 to a, which gives a = n + 54.\n6. Substitute n = 16 to a, which gives a = 70.\n\nThus, the final answer is a = \\boxed{70}.",
"index": 1780,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = q + 7; m = h + 6; x = n + 12; o = m + 9; f = z + 20; a = o + 9; q = x + 11; j = n + 18; w = r + 12; z = d + 15; r = f + 14; n = 16; d = j + 8. If n = 16, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"i": "a + 9", "w": "i + 20", "z": "w + 20", "v": "z + 19", "k": "v + 8", "b": "k + 12", "x": "a + 10", "u": "x + 14", "t": "u + 4", "g": "t + 4", "e": "g + 1", "r": "e + 13", "a": 15}, "premises": {"a": 15}, "target": "b"}, "answer": {"steps": [["k", "v + 8", "v + 20"], ["v", "z + 19", "z + 39"], ["z", "w + 20", "w + 59"], ["w", "i + 20", "i + 79"], ["i", "a + 9", "a + 88"], ["a", 15, "103"]], "target_var_name": "b", "target_value": 103, "value_dict": {"a": 15}, "is_reverse": true}}
| 1,781
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = w + 20; x = a + 10; w = i + 20; t = u + 4; u = x + 14; r = e + 13; e = g + 1; b = k + 12; i = a + 9; g = t + 4; k = v + 8; v = z + 19; a = 15. If a = 15, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 103,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = v + 8 to b, which gives b = v + 20.\n2. Substitute v = z + 19 to b, which gives b = z + 39.\n3. Substitute z = w + 20 to b, which gives b = w + 59.\n4. Substitute w = i + 20 to b, which gives b = i + 79.\n5. Substitute i = a + 9 to b, which gives b = a + 88.\n6. Substitute a = 15 to b, which gives b = 103.\n\nThus, the final answer is b = \\boxed{103}.",
"index": 1781,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = w + 20; x = a + 10; w = i + 20; t = u + 4; u = x + 14; r = e + 13; e = g + 1; b = k + 12; i = a + 9; g = t + 4; k = v + 8; v = z + 19; a = 15. If a = 15, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"x": "b + 7", "e": "x + 3", "n": "e + 12", "t": "n + 1", "d": "t + 17", "l": "d + 10", "r": "b + 4", "z": "r + 7", "a": "z + 4", "m": "a + 6", "q": "m + 11", "h": "q + 13", "b": 10}, "premises": {"b": 10}, "target": "l"}, "answer": {"steps": [["d", "t + 17", "t + 27"], ["t", "n + 1", "n + 28"], ["n", "e + 12", "e + 40"], ["e", "x + 3", "x + 43"], ["x", "b + 7", "b + 50"], ["b", 10, "60"]], "target_var_name": "l", "target_value": 60, "value_dict": {"b": 10}, "is_reverse": true}}
| 1,782
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = m + 11; n = e + 12; l = d + 10; h = q + 13; m = a + 6; e = x + 3; t = n + 1; a = z + 4; z = r + 7; x = b + 7; d = t + 17; b = 10; r = b + 4. If b = 10, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = t + 17 to l, which gives l = t + 27.\n2. Substitute t = n + 1 to l, which gives l = n + 28.\n3. Substitute n = e + 12 to l, which gives l = e + 40.\n4. Substitute e = x + 3 to l, which gives l = x + 43.\n5. Substitute x = b + 7 to l, which gives l = b + 50.\n6. Substitute b = 10 to l, which gives l = 60.\n\nThus, the final answer is l = \\boxed{60}.",
"index": 1782,
"question": "Consider a system of variables where each variable is defined as follows: q = m + 11; n = e + 12; l = d + 10; h = q + 13; m = a + 6; e = x + 3; t = n + 1; a = z + 4; z = r + 7; x = b + 7; d = t + 17; b = 10; r = b + 4. If b = 10, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"f": "t + 11", "z": "f + 3", "g": "z + 9", "v": "g + 13", "i": "v + 12", "m": "i + 7", "h": "t + 9", "s": "h + 5", "c": "s + 20", "k": "c + 14", "a": "k + 20", "x": "a + 3", "t": 16}, "premises": {"t": 16}, "target": "m"}, "answer": {"steps": [["i", "v + 12", "v + 19"], ["v", "g + 13", "g + 32"], ["g", "z + 9", "z + 41"], ["z", "f + 3", "f + 44"], ["f", "t + 11", "t + 55"], ["t", 16, "71"]], "target_var_name": "m", "target_value": 71, "value_dict": {"t": 16}, "is_reverse": true}}
| 1,783
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = i + 7; s = h + 5; t = 16; v = g + 13; h = t + 9; i = v + 12; g = z + 9; k = c + 14; x = a + 3; c = s + 20; f = t + 11; z = f + 3; a = k + 20. If t = 16, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = v + 12 to m, which gives m = v + 19.\n2. Substitute v = g + 13 to m, which gives m = g + 32.\n3. Substitute g = z + 9 to m, which gives m = z + 41.\n4. Substitute z = f + 3 to m, which gives m = f + 44.\n5. Substitute f = t + 11 to m, which gives m = t + 55.\n6. Substitute t = 16 to m, which gives m = 71.\n\nThus, the final answer is m = \\boxed{71}.",
"index": 1783,
"question": "Consider a system of variables where each variable is defined as follows: m = i + 7; s = h + 5; t = 16; v = g + 13; h = t + 9; i = v + 12; g = z + 9; k = c + 14; x = a + 3; c = s + 20; f = t + 11; z = f + 3; a = k + 20. If t = 16, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"t": "h + 2", "c": "t + 9", "g": "c + 12", "o": "g + 4", "r": "o + 12", "p": "r + 3", "m": "h + 13", "n": "m + 13", "w": "n + 3", "a": "w + 5", "q": "a + 11", "j": "q + 3", "h": 13}, "premises": {"h": 13}, "target": "p"}, "answer": {"steps": [["r", "o + 12", "o + 15"], ["o", "g + 4", "g + 19"], ["g", "c + 12", "c + 31"], ["c", "t + 9", "t + 40"], ["t", "h + 2", "h + 42"], ["h", 13, "55"]], "target_var_name": "p", "target_value": 55, "value_dict": {"h": 13}, "is_reverse": true}}
| 1,784
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = m + 13; h = 13; w = n + 3; j = q + 3; r = o + 12; a = w + 5; q = a + 11; t = h + 2; p = r + 3; o = g + 4; g = c + 12; c = t + 9; m = h + 13. Given that h = 13, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = o + 12 to p, which gives p = o + 15.\n2. Substitute o = g + 4 to p, which gives p = g + 19.\n3. Substitute g = c + 12 to p, which gives p = c + 31.\n4. Substitute c = t + 9 to p, which gives p = t + 40.\n5. Substitute t = h + 2 to p, which gives p = h + 42.\n6. Substitute h = 13 to p, which gives p = 55.\n\nThus, the final answer is p = \\boxed{55}.",
"index": 1784,
"question": "Suppose a collection of variables is related by the following definitions: n = m + 13; h = 13; w = n + 3; j = q + 3; r = o + 12; a = w + 5; q = a + 11; t = h + 2; p = r + 3; o = g + 4; g = c + 12; c = t + 9; m = h + 13. Given that h = 13, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"p": "c + 5", "y": "p + 3", "z": "y + 15", "j": "z + 6", "b": "j + 11", "e": "b + 16", "v": "c + 7", "u": "v + 13", "g": "u + 11", "o": "g + 10", "q": "o + 3", "a": "q + 20", "c": 6}, "premises": {"c": 6}, "target": "e"}, "answer": {"steps": [["b", "j + 11", "j + 27"], ["j", "z + 6", "z + 33"], ["z", "y + 15", "y + 48"], ["y", "p + 3", "p + 51"], ["p", "c + 5", "c + 56"], ["c", 6, "62"]], "target_var_name": "e", "target_value": 62, "value_dict": {"c": 6}, "is_reverse": true}}
| 1,785
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = y + 15; o = g + 10; v = c + 7; c = 6; b = j + 11; u = v + 13; j = z + 6; y = p + 3; q = o + 3; p = c + 5; g = u + 11; a = q + 20; e = b + 16. If c = 6, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = j + 11 to e, which gives e = j + 27.\n2. Substitute j = z + 6 to e, which gives e = z + 33.\n3. Substitute z = y + 15 to e, which gives e = y + 48.\n4. Substitute y = p + 3 to e, which gives e = p + 51.\n5. Substitute p = c + 5 to e, which gives e = c + 56.\n6. Substitute c = 6 to e, which gives e = 62.\n\nThus, the final answer is e = \\boxed{62}.",
"index": 1785,
"question": "Consider a system of variables where each variable is defined as follows: z = y + 15; o = g + 10; v = c + 7; c = 6; b = j + 11; u = v + 13; j = z + 6; y = p + 3; q = o + 3; p = c + 5; g = u + 11; a = q + 20; e = b + 16. If c = 6, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"r": "t + 12", "d": "r + 3", "m": "d + 3", "q": "m + 8", "f": "q + 11", "y": "f + 13", "s": "t + 4", "u": "s + 13", "w": "u + 5", "j": "w + 14", "l": "j + 19", "k": "l + 15", "t": 18}, "premises": {"t": 18}, "target": "y"}, "answer": {"steps": [["f", "q + 11", "q + 24"], ["q", "m + 8", "m + 32"], ["m", "d + 3", "d + 35"], ["d", "r + 3", "r + 38"], ["r", "t + 12", "t + 50"], ["t", 18, "68"]], "target_var_name": "y", "target_value": 68, "value_dict": {"t": 18}, "is_reverse": true}}
| 1,786
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = t + 12; j = w + 14; w = u + 5; s = t + 4; y = f + 13; u = s + 13; l = j + 19; d = r + 3; q = m + 8; t = 18; m = d + 3; k = l + 15; f = q + 11. Given that t = 18, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = q + 11 to y, which gives y = q + 24.\n2. Substitute q = m + 8 to y, which gives y = m + 32.\n3. Substitute m = d + 3 to y, which gives y = d + 35.\n4. Substitute d = r + 3 to y, which gives y = r + 38.\n5. Substitute r = t + 12 to y, which gives y = t + 50.\n6. Substitute t = 18 to y, which gives y = 68.\n\nThus, the final answer is y = \\boxed{68}.",
"index": 1786,
"question": "Suppose a collection of variables is related by the following definitions: r = t + 12; j = w + 14; w = u + 5; s = t + 4; y = f + 13; u = s + 13; l = j + 19; d = r + 3; q = m + 8; t = 18; m = d + 3; k = l + 15; f = q + 11. Given that t = 18, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"q": "k + 3", "m": "q + 7", "f": "m + 15", "s": "f + 6", "a": "s + 18", "i": "a + 12", "h": "k + 1", "v": "h + 10", "j": "v + 19", "y": "j + 20", "w": "y + 6", "x": "w + 10", "k": 1}, "premises": {"k": 1}, "target": "i"}, "answer": {"steps": [["a", "s + 18", "s + 30"], ["s", "f + 6", "f + 36"], ["f", "m + 15", "m + 51"], ["m", "q + 7", "q + 58"], ["q", "k + 3", "k + 61"], ["k", 1, "62"]], "target_var_name": "i", "target_value": 62, "value_dict": {"k": 1}, "is_reverse": true}}
| 1,787
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = q + 7; v = h + 10; a = s + 18; j = v + 19; f = m + 15; x = w + 10; k = 1; i = a + 12; w = y + 6; h = k + 1; y = j + 20; s = f + 6; q = k + 3. If k = 1, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = s + 18 to i, which gives i = s + 30.\n2. Substitute s = f + 6 to i, which gives i = f + 36.\n3. Substitute f = m + 15 to i, which gives i = m + 51.\n4. Substitute m = q + 7 to i, which gives i = q + 58.\n5. Substitute q = k + 3 to i, which gives i = k + 61.\n6. Substitute k = 1 to i, which gives i = 62.\n\nThus, the final answer is i = \\boxed{62}.",
"index": 1787,
"question": "Consider a system of variables where each variable is defined as follows: m = q + 7; v = h + 10; a = s + 18; j = v + 19; f = m + 15; x = w + 10; k = 1; i = a + 12; w = y + 6; h = k + 1; y = j + 20; s = f + 6; q = k + 3. If k = 1, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"s": "m + 12", "a": "s + 11", "b": "a + 4", "j": "b + 15", "z": "j + 18", "g": "z + 3", "h": "m + 5", "y": "h + 5", "d": "y + 9", "l": "d + 20", "c": "l + 2", "o": "c + 6", "m": 14}, "premises": {"m": 14}, "target": "g"}, "answer": {"steps": [["z", "j + 18", "j + 21"], ["j", "b + 15", "b + 36"], ["b", "a + 4", "a + 40"], ["a", "s + 11", "s + 51"], ["s", "m + 12", "m + 63"], ["m", 14, "77"]], "target_var_name": "g", "target_value": 77, "value_dict": {"m": 14}, "is_reverse": true}}
| 1,788
| 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 = y + 9; y = h + 5; l = d + 20; s = m + 12; j = b + 15; b = a + 4; c = l + 2; z = j + 18; h = m + 5; m = 14; o = c + 6; a = s + 11; g = z + 3. If m = 14, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = j + 18 to g, which gives g = j + 21.\n2. Substitute j = b + 15 to g, which gives g = b + 36.\n3. Substitute b = a + 4 to g, which gives g = a + 40.\n4. Substitute a = s + 11 to g, which gives g = s + 51.\n5. Substitute s = m + 12 to g, which gives g = m + 63.\n6. Substitute m = 14 to g, which gives g = 77.\n\nThus, the final answer is g = \\boxed{77}.",
"index": 1788,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = y + 9; y = h + 5; l = d + 20; s = m + 12; j = b + 15; b = a + 4; c = l + 2; z = j + 18; h = m + 5; m = 14; o = c + 6; a = s + 11; g = z + 3. If m = 14, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"m": "g + 16", "o": "m + 4", "r": "o + 16", "x": "r + 3", "i": "x + 3", "p": "i + 5", "w": "g + 4", "z": "w + 6", "n": "z + 3", "k": "n + 15", "b": "k + 20", "v": "b + 6", "g": 6}, "premises": {"g": 6}, "target": "p"}, "answer": {"steps": [["i", "x + 3", "x + 8"], ["x", "r + 3", "r + 11"], ["r", "o + 16", "o + 27"], ["o", "m + 4", "m + 31"], ["m", "g + 16", "g + 47"], ["g", 6, "53"]], "target_var_name": "p", "target_value": 53, "value_dict": {"g": 6}, "is_reverse": true}}
| 1,789
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = r + 3; n = z + 3; m = g + 16; i = x + 3; r = o + 16; z = w + 6; w = g + 4; k = n + 15; p = i + 5; g = 6; b = k + 20; v = b + 6; o = m + 4. Given that g = 6, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = x + 3 to p, which gives p = x + 8.\n2. Substitute x = r + 3 to p, which gives p = r + 11.\n3. Substitute r = o + 16 to p, which gives p = o + 27.\n4. Substitute o = m + 4 to p, which gives p = m + 31.\n5. Substitute m = g + 16 to p, which gives p = g + 47.\n6. Substitute g = 6 to p, which gives p = 53.\n\nThus, the final answer is p = \\boxed{53}.",
"index": 1789,
"question": "Suppose a collection of variables is related by the following definitions: x = r + 3; n = z + 3; m = g + 16; i = x + 3; r = o + 16; z = w + 6; w = g + 4; k = n + 15; p = i + 5; g = 6; b = k + 20; v = b + 6; o = m + 4. Given that g = 6, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"z": "f + 16", "n": "z + 12", "j": "n + 14", "q": "j + 8", "i": "q + 13", "h": "i + 17", "u": "f + 13", "t": "u + 17", "s": "t + 7", "m": "s + 19", "v": "m + 14", "l": "v + 7", "f": 13}, "premises": {"f": 13}, "target": "h"}, "answer": {"steps": [["i", "q + 13", "q + 30"], ["q", "j + 8", "j + 38"], ["j", "n + 14", "n + 52"], ["n", "z + 12", "z + 64"], ["z", "f + 16", "f + 80"], ["f", 13, "93"]], "target_var_name": "h", "target_value": 93, "value_dict": {"f": 13}, "is_reverse": true}}
| 1,790
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = s + 19; q = j + 8; n = z + 12; j = n + 14; s = t + 7; z = f + 16; h = i + 17; i = q + 13; f = 13; v = m + 14; l = v + 7; u = f + 13; t = u + 17. If f = 13, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = q + 13 to h, which gives h = q + 30.\n2. Substitute q = j + 8 to h, which gives h = j + 38.\n3. Substitute j = n + 14 to h, which gives h = n + 52.\n4. Substitute n = z + 12 to h, which gives h = z + 64.\n5. Substitute z = f + 16 to h, which gives h = f + 80.\n6. Substitute f = 13 to h, which gives h = 93.\n\nThus, the final answer is h = \\boxed{93}.",
"index": 1790,
"question": "Consider a system of variables where each variable is defined as follows: m = s + 19; q = j + 8; n = z + 12; j = n + 14; s = t + 7; z = f + 16; h = i + 17; i = q + 13; f = 13; v = m + 14; l = v + 7; u = f + 13; t = u + 17. If f = 13, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"u": "t + 20", "r": "u + 20", "p": "r + 20", "v": "p + 6", "f": "v + 18", "k": "f + 19", "a": "t + 16", "l": "a + 1", "m": "l + 2", "w": "m + 17", "g": "w + 19", "q": "g + 5", "t": 6}, "premises": {"t": 6}, "target": "k"}, "answer": {"steps": [["f", "v + 18", "v + 37"], ["v", "p + 6", "p + 43"], ["p", "r + 20", "r + 63"], ["r", "u + 20", "u + 83"], ["u", "t + 20", "t + 103"], ["t", 6, "109"]], "target_var_name": "k", "target_value": 109, "value_dict": {"t": 6}, "is_reverse": true}}
| 1,791
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = t + 20; t = 6; p = r + 20; f = v + 18; w = m + 17; l = a + 1; k = f + 19; r = u + 20; g = w + 19; m = l + 2; q = g + 5; a = t + 16; v = p + 6. If t = 6, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 109,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = v + 18 to k, which gives k = v + 37.\n2. Substitute v = p + 6 to k, which gives k = p + 43.\n3. Substitute p = r + 20 to k, which gives k = r + 63.\n4. Substitute r = u + 20 to k, which gives k = u + 83.\n5. Substitute u = t + 20 to k, which gives k = t + 103.\n6. Substitute t = 6 to k, which gives k = 109.\n\nThus, the final answer is k = \\boxed{109}.",
"index": 1791,
"question": "Consider a system of variables where each variable is defined as follows: u = t + 20; t = 6; p = r + 20; f = v + 18; w = m + 17; l = a + 1; k = f + 19; r = u + 20; g = w + 19; m = l + 2; q = g + 5; a = t + 16; v = p + 6. If t = 6, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"j": "e + 5", "v": "j + 16", "m": "v + 7", "q": "m + 2", "u": "q + 19", "a": "u + 5", "r": "e + 15", "g": "r + 10", "x": "g + 14", "b": "x + 14", "w": "b + 6", "o": "w + 15", "e": 12}, "premises": {"e": 12}, "target": "a"}, "answer": {"steps": [["u", "q + 19", "q + 24"], ["q", "m + 2", "m + 26"], ["m", "v + 7", "v + 33"], ["v", "j + 16", "j + 49"], ["j", "e + 5", "e + 54"], ["e", 12, "66"]], "target_var_name": "a", "target_value": 66, "value_dict": {"e": 12}, "is_reverse": true}}
| 1,792
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = u + 5; o = w + 15; m = v + 7; x = g + 14; j = e + 5; v = j + 16; b = x + 14; r = e + 15; q = m + 2; u = q + 19; g = r + 10; e = 12; w = b + 6. Given that e = 12, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = q + 19 to a, which gives a = q + 24.\n2. Substitute q = m + 2 to a, which gives a = m + 26.\n3. Substitute m = v + 7 to a, which gives a = v + 33.\n4. Substitute v = j + 16 to a, which gives a = j + 49.\n5. Substitute j = e + 5 to a, which gives a = e + 54.\n6. Substitute e = 12 to a, which gives a = 66.\n\nThus, the final answer is a = \\boxed{66}.",
"index": 1792,
"question": "Suppose a collection of variables is related by the following definitions: a = u + 5; o = w + 15; m = v + 7; x = g + 14; j = e + 5; v = j + 16; b = x + 14; r = e + 15; q = m + 2; u = q + 19; g = r + 10; e = 12; w = b + 6. Given that e = 12, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"y": "e + 2", "d": "y + 4", "l": "d + 11", "m": "l + 19", "r": "m + 17", "g": "r + 18", "n": "e + 11", "h": "n + 17", "v": "h + 20", "j": "v + 18", "u": "j + 2", "x": "u + 14", "e": 15}, "premises": {"e": 15}, "target": "g"}, "answer": {"steps": [["r", "m + 17", "m + 35"], ["m", "l + 19", "l + 54"], ["l", "d + 11", "d + 65"], ["d", "y + 4", "y + 69"], ["y", "e + 2", "e + 71"], ["e", 15, "86"]], "target_var_name": "g", "target_value": 86, "value_dict": {"e": 15}, "is_reverse": true}}
| 1,793
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = n + 17; y = e + 2; v = h + 20; r = m + 17; m = l + 19; x = u + 14; l = d + 11; n = e + 11; e = 15; d = y + 4; j = v + 18; g = r + 18; u = j + 2. Given that e = 15, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = m + 17 to g, which gives g = m + 35.\n2. Substitute m = l + 19 to g, which gives g = l + 54.\n3. Substitute l = d + 11 to g, which gives g = d + 65.\n4. Substitute d = y + 4 to g, which gives g = y + 69.\n5. Substitute y = e + 2 to g, which gives g = e + 71.\n6. Substitute e = 15 to g, which gives g = 86.\n\nThus, the final answer is g = \\boxed{86}.",
"index": 1793,
"question": "Suppose a collection of variables is related by the following definitions: h = n + 17; y = e + 2; v = h + 20; r = m + 17; m = l + 19; x = u + 14; l = d + 11; n = e + 11; e = 15; d = y + 4; j = v + 18; g = r + 18; u = j + 2. Given that e = 15, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"k": "e + 18", "j": "k + 6", "s": "j + 18", "r": "s + 20", "i": "r + 5", "f": "i + 12", "z": "e + 7", "t": "z + 1", "y": "t + 7", "h": "y + 16", "n": "h + 3", "u": "n + 7", "e": 3}, "premises": {"e": 3}, "target": "f"}, "answer": {"steps": [["i", "r + 5", "r + 17"], ["r", "s + 20", "s + 37"], ["s", "j + 18", "j + 55"], ["j", "k + 6", "k + 61"], ["k", "e + 18", "e + 79"], ["e", 3, "82"]], "target_var_name": "f", "target_value": 82, "value_dict": {"e": 3}, "is_reverse": true}}
| 1,794
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = z + 1; y = t + 7; z = e + 7; i = r + 5; f = i + 12; e = 3; s = j + 18; j = k + 6; n = h + 3; u = n + 7; h = y + 16; k = e + 18; r = s + 20. If e = 3, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = r + 5 to f, which gives f = r + 17.\n2. Substitute r = s + 20 to f, which gives f = s + 37.\n3. Substitute s = j + 18 to f, which gives f = j + 55.\n4. Substitute j = k + 6 to f, which gives f = k + 61.\n5. Substitute k = e + 18 to f, which gives f = e + 79.\n6. Substitute e = 3 to f, which gives f = 82.\n\nThus, the final answer is f = \\boxed{82}.",
"index": 1794,
"question": "Consider a system of variables where each variable is defined as follows: t = z + 1; y = t + 7; z = e + 7; i = r + 5; f = i + 12; e = 3; s = j + 18; j = k + 6; n = h + 3; u = n + 7; h = y + 16; k = e + 18; r = s + 20. If e = 3, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"q": "e + 11", "i": "q + 9", "z": "i + 13", "p": "z + 8", "t": "p + 6", "v": "t + 18", "h": "e + 11", "u": "h + 6", "b": "u + 8", "k": "b + 1", "d": "k + 11", "c": "d + 10", "e": 18}, "premises": {"e": 18}, "target": "v"}, "answer": {"steps": [["t", "p + 6", "p + 24"], ["p", "z + 8", "z + 32"], ["z", "i + 13", "i + 45"], ["i", "q + 9", "q + 54"], ["q", "e + 11", "e + 65"], ["e", 18, "83"]], "target_var_name": "v", "target_value": 83, "value_dict": {"e": 18}, "is_reverse": true}}
| 1,795
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = q + 9; h = e + 11; b = u + 8; c = d + 10; d = k + 11; p = z + 8; q = e + 11; t = p + 6; e = 18; u = h + 6; z = i + 13; k = b + 1; v = t + 18. Given that e = 18, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = p + 6 to v, which gives v = p + 24.\n2. Substitute p = z + 8 to v, which gives v = z + 32.\n3. Substitute z = i + 13 to v, which gives v = i + 45.\n4. Substitute i = q + 9 to v, which gives v = q + 54.\n5. Substitute q = e + 11 to v, which gives v = e + 65.\n6. Substitute e = 18 to v, which gives v = 83.\n\nThus, the final answer is v = \\boxed{83}.",
"index": 1795,
"question": "Suppose a collection of variables is related by the following definitions: i = q + 9; h = e + 11; b = u + 8; c = d + 10; d = k + 11; p = z + 8; q = e + 11; t = p + 6; e = 18; u = h + 6; z = i + 13; k = b + 1; v = t + 18. Given that e = 18, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"e": "r + 14", "x": "e + 19", "p": "x + 10", "b": "p + 7", "f": "b + 10", "m": "f + 14", "v": "r + 20", "u": "v + 7", "q": "u + 12", "n": "q + 2", "g": "n + 12", "y": "g + 8", "r": 1}, "premises": {"r": 1}, "target": "m"}, "answer": {"steps": [["f", "b + 10", "b + 24"], ["b", "p + 7", "p + 31"], ["p", "x + 10", "x + 41"], ["x", "e + 19", "e + 60"], ["e", "r + 14", "r + 74"], ["r", 1, "75"]], "target_var_name": "m", "target_value": 75, "value_dict": {"r": 1}, "is_reverse": true}}
| 1,796
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = r + 20; q = u + 12; x = e + 19; u = v + 7; p = x + 10; y = g + 8; m = f + 14; f = b + 10; n = q + 2; e = r + 14; r = 1; g = n + 12; b = p + 7. If r = 1, 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 f = b + 10 to m, which gives m = b + 24.\n2. Substitute b = p + 7 to m, which gives m = p + 31.\n3. Substitute p = x + 10 to m, which gives m = x + 41.\n4. Substitute x = e + 19 to m, which gives m = e + 60.\n5. Substitute e = r + 14 to m, which gives m = r + 74.\n6. Substitute r = 1 to m, which gives m = 75.\n\nThus, the final answer is m = \\boxed{75}.",
"index": 1796,
"question": "Consider a system of variables where each variable is defined as follows: v = r + 20; q = u + 12; x = e + 19; u = v + 7; p = x + 10; y = g + 8; m = f + 14; f = b + 10; n = q + 2; e = r + 14; r = 1; g = n + 12; b = p + 7. If r = 1, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"z": "o + 14", "s": "z + 10", "r": "s + 8", "c": "r + 18", "g": "c + 4", "e": "g + 1", "f": "o + 13", "y": "f + 10", "b": "y + 7", "h": "b + 18", "x": "h + 7", "n": "x + 18", "o": 18}, "premises": {"o": 18}, "target": "e"}, "answer": {"steps": [["g", "c + 4", "c + 5"], ["c", "r + 18", "r + 23"], ["r", "s + 8", "s + 31"], ["s", "z + 10", "z + 41"], ["z", "o + 14", "o + 55"], ["o", 18, "73"]], "target_var_name": "e", "target_value": 73, "value_dict": {"o": 18}, "is_reverse": true}}
| 1,797
| 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 = b + 18; x = h + 7; r = s + 8; e = g + 1; s = z + 10; b = y + 7; g = c + 4; f = o + 13; y = f + 10; o = 18; z = o + 14; n = x + 18; c = r + 18. If o = 18, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = c + 4 to e, which gives e = c + 5.\n2. Substitute c = r + 18 to e, which gives e = r + 23.\n3. Substitute r = s + 8 to e, which gives e = s + 31.\n4. Substitute s = z + 10 to e, which gives e = z + 41.\n5. Substitute z = o + 14 to e, which gives e = o + 55.\n6. Substitute o = 18 to e, which gives e = 73.\n\nThus, the final answer is e = \\boxed{73}.",
"index": 1797,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = b + 18; x = h + 7; r = s + 8; e = g + 1; s = z + 10; b = y + 7; g = c + 4; f = o + 13; y = f + 10; o = 18; z = o + 14; n = x + 18; c = r + 18. If o = 18, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"a": "r + 16", "t": "a + 18", "p": "t + 10", "b": "p + 16", "v": "b + 4", "s": "v + 10", "g": "r + 13", "q": "g + 5", "f": "q + 6", "e": "f + 7", "w": "e + 1", "n": "w + 3", "r": 1}, "premises": {"r": 1}, "target": "s"}, "answer": {"steps": [["v", "b + 4", "b + 14"], ["b", "p + 16", "p + 30"], ["p", "t + 10", "t + 40"], ["t", "a + 18", "a + 58"], ["a", "r + 16", "r + 74"], ["r", 1, "75"]], "target_var_name": "s", "target_value": 75, "value_dict": {"r": 1}, "is_reverse": true}}
| 1,798
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = a + 18; n = w + 3; w = e + 1; r = 1; p = t + 10; e = f + 7; v = b + 4; a = r + 16; s = v + 10; f = q + 6; g = r + 13; b = p + 16; q = g + 5. If r = 1, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = b + 4 to s, which gives s = b + 14.\n2. Substitute b = p + 16 to s, which gives s = p + 30.\n3. Substitute p = t + 10 to s, which gives s = t + 40.\n4. Substitute t = a + 18 to s, which gives s = a + 58.\n5. Substitute a = r + 16 to s, which gives s = r + 74.\n6. Substitute r = 1 to s, which gives s = 75.\n\nThus, the final answer is s = \\boxed{75}.",
"index": 1798,
"question": "Consider a system of variables where each variable is defined as follows: t = a + 18; n = w + 3; w = e + 1; r = 1; p = t + 10; e = f + 7; v = b + 4; a = r + 16; s = v + 10; f = q + 6; g = r + 13; b = p + 16; q = g + 5. If r = 1, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"a": "z + 18", "i": "a + 9", "f": "i + 13", "o": "f + 8", "k": "o + 4", "c": "k + 17", "w": "z + 8", "j": "w + 9", "q": "j + 13", "v": "q + 13", "b": "v + 13", "u": "b + 19", "z": 6}, "premises": {"z": 6}, "target": "c"}, "answer": {"steps": [["k", "o + 4", "o + 21"], ["o", "f + 8", "f + 29"], ["f", "i + 13", "i + 42"], ["i", "a + 9", "a + 51"], ["a", "z + 18", "z + 69"], ["z", 6, "75"]], "target_var_name": "c", "target_value": 75, "value_dict": {"z": 6}, "is_reverse": true}}
| 1,799
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = z + 8; q = j + 13; o = f + 8; b = v + 13; i = a + 9; k = o + 4; j = w + 9; c = k + 17; a = z + 18; u = b + 19; f = i + 13; z = 6; v = q + 13. Given that z = 6, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = o + 4 to c, which gives c = o + 21.\n2. Substitute o = f + 8 to c, which gives c = f + 29.\n3. Substitute f = i + 13 to c, which gives c = i + 42.\n4. Substitute i = a + 9 to c, which gives c = a + 51.\n5. Substitute a = z + 18 to c, which gives c = z + 69.\n6. Substitute z = 6 to c, which gives c = 75.\n\nThus, the final answer is c = \\boxed{75}.",
"index": 1799,
"question": "Suppose a collection of variables is related by the following definitions: w = z + 8; q = j + 13; o = f + 8; b = v + 13; i = a + 9; k = o + 4; j = w + 9; c = k + 17; a = z + 18; u = b + 19; f = i + 13; z = 6; v = q + 13. Given that z = 6, find the value of c.",
"split": "train"
}
|
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