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25.6k
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stringclasses 1
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listlengths 1
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stringclasses 1
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dict | extra_info
dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"p": "i + 6", "x": "p + 10", "b": "x + 8", "y": "b + 6", "o": "y + 4", "c": "o + 11", "q": "i + 16", "a": "q + 13", "s": "a + 13", "r": "s + 9", "t": "r + 20", "k": "t + 16", "i": 17}, "premises": {"i": 17}, "target": "c"}, "answer": {"steps": [["o", "y + 4", "y + 15"], ["y", "b + 6", "b + 21"], ["b", "x + 8", "x + 29"], ["x", "p + 10", "p + 39"], ["p", "i + 6", "i + 45"], ["i", 17, "62"]], "target_var_name": "c", "target_value": 62, "value_dict": {"i": 17}, "is_reverse": true}}
| 700
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = p + 10; p = i + 6; c = o + 11; r = s + 9; o = y + 4; q = i + 16; s = a + 13; a = q + 13; i = 17; t = r + 20; b = x + 8; y = b + 6; k = t + 16. Given that i = 17, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = y + 4 to c, which gives c = y + 15.\n2. Substitute y = b + 6 to c, which gives c = b + 21.\n3. Substitute b = x + 8 to c, which gives c = x + 29.\n4. Substitute x = p + 10 to c, which gives c = p + 39.\n5. Substitute p = i + 6 to c, which gives c = i + 45.\n6. Substitute i = 17 to c, which gives c = 62.\n\nThus, the final answer is c = \\boxed{62}.",
"index": 700,
"question": "Suppose a collection of variables is related by the following definitions: x = p + 10; p = i + 6; c = o + 11; r = s + 9; o = y + 4; q = i + 16; s = a + 13; a = q + 13; i = 17; t = r + 20; b = x + 8; y = b + 6; k = t + 16. Given that i = 17, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"h": "b + 14", "q": "h + 3", "j": "q + 12", "g": "j + 3", "r": "g + 3", "f": "r + 14", "k": "b + 14", "u": "k + 10", "s": "u + 12", "l": "s + 16", "m": "l + 5", "z": "m + 17", "b": 5}, "premises": {"b": 5}, "target": "f"}, "answer": {"steps": [["r", "g + 3", "g + 17"], ["g", "j + 3", "j + 20"], ["j", "q + 12", "q + 32"], ["q", "h + 3", "h + 35"], ["h", "b + 14", "b + 49"], ["b", 5, "54"]], "target_var_name": "f", "target_value": 54, "value_dict": {"b": 5}, "is_reverse": true}}
| 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: s = u + 12; f = r + 14; k = b + 14; l = s + 16; q = h + 3; b = 5; j = q + 12; m = l + 5; z = m + 17; h = b + 14; u = k + 10; g = j + 3; r = g + 3. If b = 5, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = g + 3 to f, which gives f = g + 17.\n2. Substitute g = j + 3 to f, which gives f = j + 20.\n3. Substitute j = q + 12 to f, which gives f = q + 32.\n4. Substitute q = h + 3 to f, which gives f = h + 35.\n5. Substitute h = b + 14 to f, which gives f = b + 49.\n6. Substitute b = 5 to f, which gives f = 54.\n\nThus, the final answer is f = \\boxed{54}.",
"index": 701,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = u + 12; f = r + 14; k = b + 14; l = s + 16; q = h + 3; b = 5; j = q + 12; m = l + 5; z = m + 17; h = b + 14; u = k + 10; g = j + 3; r = g + 3. If b = 5, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"s": "t + 15", "k": "s + 10", "g": "k + 8", "m": "g + 15", "x": "m + 15", "n": "x + 17", "d": "t + 7", "o": "d + 20", "f": "o + 6", "u": "f + 6", "e": "u + 8", "h": "e + 19", "t": 7}, "premises": {"t": 7}, "target": "n"}, "answer": {"steps": [["x", "m + 15", "m + 32"], ["m", "g + 15", "g + 47"], ["g", "k + 8", "k + 55"], ["k", "s + 10", "s + 65"], ["s", "t + 15", "t + 80"], ["t", 7, "87"]], "target_var_name": "n", "target_value": 87, "value_dict": {"t": 7}, "is_reverse": true}}
| 702
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = d + 20; x = m + 15; s = t + 15; e = u + 8; t = 7; h = e + 19; d = t + 7; m = g + 15; k = s + 10; f = o + 6; g = k + 8; n = x + 17; u = f + 6. Given that t = 7, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = m + 15 to n, which gives n = m + 32.\n2. Substitute m = g + 15 to n, which gives n = g + 47.\n3. Substitute g = k + 8 to n, which gives n = k + 55.\n4. Substitute k = s + 10 to n, which gives n = s + 65.\n5. Substitute s = t + 15 to n, which gives n = t + 80.\n6. Substitute t = 7 to n, which gives n = 87.\n\nThus, the final answer is n = \\boxed{87}.",
"index": 702,
"question": "Suppose a collection of variables is related by the following definitions: o = d + 20; x = m + 15; s = t + 15; e = u + 8; t = 7; h = e + 19; d = t + 7; m = g + 15; k = s + 10; f = o + 6; g = k + 8; n = x + 17; u = f + 6. Given that t = 7, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"y": "n + 4", "w": "y + 4", "x": "w + 13", "f": "x + 15", "d": "f + 15", "j": "d + 19", "o": "n + 3", "c": "o + 18", "t": "c + 2", "h": "t + 8", "v": "h + 2", "m": "v + 8", "n": 1}, "premises": {"n": 1}, "target": "j"}, "answer": {"steps": [["d", "f + 15", "f + 34"], ["f", "x + 15", "x + 49"], ["x", "w + 13", "w + 62"], ["w", "y + 4", "y + 66"], ["y", "n + 4", "n + 70"], ["n", 1, "71"]], "target_var_name": "j", "target_value": 71, "value_dict": {"n": 1}, "is_reverse": true}}
| 703
| 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 = y + 4; t = c + 2; n = 1; j = d + 19; d = f + 15; x = w + 13; y = n + 4; f = x + 15; m = v + 8; v = h + 2; h = t + 8; o = n + 3; c = o + 18. If n = 1, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = f + 15 to j, which gives j = f + 34.\n2. Substitute f = x + 15 to j, which gives j = x + 49.\n3. Substitute x = w + 13 to j, which gives j = w + 62.\n4. Substitute w = y + 4 to j, which gives j = y + 66.\n5. Substitute y = n + 4 to j, which gives j = n + 70.\n6. Substitute n = 1 to j, which gives j = 71.\n\nThus, the final answer is j = \\boxed{71}.",
"index": 703,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = y + 4; t = c + 2; n = 1; j = d + 19; d = f + 15; x = w + 13; y = n + 4; f = x + 15; m = v + 8; v = h + 2; h = t + 8; o = n + 3; c = o + 18. If n = 1, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"z": "b + 13", "u": "z + 11", "h": "u + 5", "c": "h + 19", "e": "c + 4", "k": "e + 8", "x": "b + 8", "q": "x + 9", "w": "q + 3", "n": "w + 15", "p": "n + 6", "t": "p + 3", "b": 6}, "premises": {"b": 6}, "target": "k"}, "answer": {"steps": [["e", "c + 4", "c + 12"], ["c", "h + 19", "h + 31"], ["h", "u + 5", "u + 36"], ["u", "z + 11", "z + 47"], ["z", "b + 13", "b + 60"], ["b", 6, "66"]], "target_var_name": "k", "target_value": 66, "value_dict": {"b": 6}, "is_reverse": true}}
| 704
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = p + 3; c = h + 19; u = z + 11; p = n + 6; w = q + 3; k = e + 8; q = x + 9; n = w + 15; z = b + 13; x = b + 8; b = 6; h = u + 5; e = c + 4. If b = 6, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = c + 4 to k, which gives k = c + 12.\n2. Substitute c = h + 19 to k, which gives k = h + 31.\n3. Substitute h = u + 5 to k, which gives k = u + 36.\n4. Substitute u = z + 11 to k, which gives k = z + 47.\n5. Substitute z = b + 13 to k, which gives k = b + 60.\n6. Substitute b = 6 to k, which gives k = 66.\n\nThus, the final answer is k = \\boxed{66}.",
"index": 704,
"question": "Consider a system of variables where each variable is defined as follows: t = p + 3; c = h + 19; u = z + 11; p = n + 6; w = q + 3; k = e + 8; q = x + 9; n = w + 15; z = b + 13; x = b + 8; b = 6; h = u + 5; e = c + 4. If b = 6, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"s": "z + 11", "t": "s + 11", "e": "t + 8", "j": "e + 11", "o": "j + 2", "r": "o + 12", "p": "z + 5", "m": "p + 20", "i": "m + 19", "v": "i + 10", "c": "v + 7", "g": "c + 12", "z": 18}, "premises": {"z": 18}, "target": "r"}, "answer": {"steps": [["o", "j + 2", "j + 14"], ["j", "e + 11", "e + 25"], ["e", "t + 8", "t + 33"], ["t", "s + 11", "s + 44"], ["s", "z + 11", "z + 55"], ["z", 18, "73"]], "target_var_name": "r", "target_value": 73, "value_dict": {"z": 18}, "is_reverse": true}}
| 705
| 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 = s + 11; i = m + 19; p = z + 5; r = o + 12; s = z + 11; v = i + 10; j = e + 11; c = v + 7; m = p + 20; e = t + 8; z = 18; o = j + 2; g = c + 12. If z = 18, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = j + 2 to r, which gives r = j + 14.\n2. Substitute j = e + 11 to r, which gives r = e + 25.\n3. Substitute e = t + 8 to r, which gives r = t + 33.\n4. Substitute t = s + 11 to r, which gives r = s + 44.\n5. Substitute s = z + 11 to r, which gives r = z + 55.\n6. Substitute z = 18 to r, which gives r = 73.\n\nThus, the final answer is r = \\boxed{73}.",
"index": 705,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = s + 11; i = m + 19; p = z + 5; r = o + 12; s = z + 11; v = i + 10; j = e + 11; c = v + 7; m = p + 20; e = t + 8; z = 18; o = j + 2; g = c + 12. If z = 18, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"x": "i + 11", "p": "x + 8", "j": "p + 1", "a": "j + 13", "d": "a + 8", "z": "d + 14", "o": "i + 13", "g": "o + 1", "q": "g + 2", "b": "q + 5", "l": "b + 19", "n": "l + 5", "i": 19}, "premises": {"i": 19}, "target": "z"}, "answer": {"steps": [["d", "a + 8", "a + 22"], ["a", "j + 13", "j + 35"], ["j", "p + 1", "p + 36"], ["p", "x + 8", "x + 44"], ["x", "i + 11", "i + 55"], ["i", 19, "74"]], "target_var_name": "z", "target_value": 74, "value_dict": {"i": 19}, "is_reverse": true}}
| 706
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = i + 13; p = x + 8; n = l + 5; j = p + 1; b = q + 5; a = j + 13; z = d + 14; g = o + 1; q = g + 2; x = i + 11; i = 19; l = b + 19; d = a + 8. If i = 19, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = a + 8 to z, which gives z = a + 22.\n2. Substitute a = j + 13 to z, which gives z = j + 35.\n3. Substitute j = p + 1 to z, which gives z = p + 36.\n4. Substitute p = x + 8 to z, which gives z = x + 44.\n5. Substitute x = i + 11 to z, which gives z = i + 55.\n6. Substitute i = 19 to z, which gives z = 74.\n\nThus, the final answer is z = \\boxed{74}.",
"index": 706,
"question": "Consider a system of variables where each variable is defined as follows: o = i + 13; p = x + 8; n = l + 5; j = p + 1; b = q + 5; a = j + 13; z = d + 14; g = o + 1; q = g + 2; x = i + 11; i = 19; l = b + 19; d = a + 8. If i = 19, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"m": "x + 16", "f": "m + 2", "s": "f + 15", "n": "s + 13", "e": "n + 1", "r": "e + 7", "j": "x + 8", "y": "j + 6", "h": "y + 12", "d": "h + 5", "v": "d + 14", "i": "v + 14", "x": 13}, "premises": {"x": 13}, "target": "r"}, "answer": {"steps": [["e", "n + 1", "n + 8"], ["n", "s + 13", "s + 21"], ["s", "f + 15", "f + 36"], ["f", "m + 2", "m + 38"], ["m", "x + 16", "x + 54"], ["x", 13, "67"]], "target_var_name": "r", "target_value": 67, "value_dict": {"x": 13}, "is_reverse": true}}
| 707
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = d + 14; f = m + 2; d = h + 5; j = x + 8; m = x + 16; r = e + 7; h = y + 12; e = n + 1; y = j + 6; i = v + 14; s = f + 15; n = s + 13; x = 13. Given that x = 13, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = n + 1 to r, which gives r = n + 8.\n2. Substitute n = s + 13 to r, which gives r = s + 21.\n3. Substitute s = f + 15 to r, which gives r = f + 36.\n4. Substitute f = m + 2 to r, which gives r = m + 38.\n5. Substitute m = x + 16 to r, which gives r = x + 54.\n6. Substitute x = 13 to r, which gives r = 67.\n\nThus, the final answer is r = \\boxed{67}.",
"index": 707,
"question": "Suppose a collection of variables is related by the following definitions: v = d + 14; f = m + 2; d = h + 5; j = x + 8; m = x + 16; r = e + 7; h = y + 12; e = n + 1; y = j + 6; i = v + 14; s = f + 15; n = s + 13; x = 13. Given that x = 13, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"z": "m + 10", "j": "z + 15", "p": "j + 18", "v": "p + 4", "h": "v + 15", "t": "h + 15", "q": "m + 20", "b": "q + 4", "s": "b + 15", "w": "s + 9", "o": "w + 8", "i": "o + 20", "m": 10}, "premises": {"m": 10}, "target": "t"}, "answer": {"steps": [["h", "v + 15", "v + 30"], ["v", "p + 4", "p + 34"], ["p", "j + 18", "j + 52"], ["j", "z + 15", "z + 67"], ["z", "m + 10", "m + 77"], ["m", 10, "87"]], "target_var_name": "t", "target_value": 87, "value_dict": {"m": 10}, "is_reverse": true}}
| 708
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = o + 20; w = s + 9; s = b + 15; p = j + 18; z = m + 10; o = w + 8; t = h + 15; v = p + 4; j = z + 15; m = 10; q = m + 20; h = v + 15; b = q + 4. Given that m = 10, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = v + 15 to t, which gives t = v + 30.\n2. Substitute v = p + 4 to t, which gives t = p + 34.\n3. Substitute p = j + 18 to t, which gives t = j + 52.\n4. Substitute j = z + 15 to t, which gives t = z + 67.\n5. Substitute z = m + 10 to t, which gives t = m + 77.\n6. Substitute m = 10 to t, which gives t = 87.\n\nThus, the final answer is t = \\boxed{87}.",
"index": 708,
"question": "Suppose a collection of variables is related by the following definitions: i = o + 20; w = s + 9; s = b + 15; p = j + 18; z = m + 10; o = w + 8; t = h + 15; v = p + 4; j = z + 15; m = 10; q = m + 20; h = v + 15; b = q + 4. Given that m = 10, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"g": "a + 4", "q": "g + 18", "f": "q + 1", "h": "f + 19", "o": "h + 6", "y": "o + 14", "k": "a + 2", "u": "k + 12", "t": "u + 3", "w": "t + 16", "v": "w + 2", "c": "v + 18", "a": 17}, "premises": {"a": 17}, "target": "y"}, "answer": {"steps": [["o", "h + 6", "h + 20"], ["h", "f + 19", "f + 39"], ["f", "q + 1", "q + 40"], ["q", "g + 18", "g + 58"], ["g", "a + 4", "a + 62"], ["a", 17, "79"]], "target_var_name": "y", "target_value": 79, "value_dict": {"a": 17}, "is_reverse": true}}
| 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 = h + 6; y = o + 14; a = 17; c = v + 18; t = u + 3; q = g + 18; v = w + 2; u = k + 12; h = f + 19; g = a + 4; w = t + 16; f = q + 1; k = a + 2. If a = 17, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = h + 6 to y, which gives y = h + 20.\n2. Substitute h = f + 19 to y, which gives y = f + 39.\n3. Substitute f = q + 1 to y, which gives y = q + 40.\n4. Substitute q = g + 18 to y, which gives y = g + 58.\n5. Substitute g = a + 4 to y, which gives y = a + 62.\n6. Substitute a = 17 to y, which gives y = 79.\n\nThus, the final answer is y = \\boxed{79}.",
"index": 709,
"question": "Consider a system of variables where each variable is defined as follows: o = h + 6; y = o + 14; a = 17; c = v + 18; t = u + 3; q = g + 18; v = w + 2; u = k + 12; h = f + 19; g = a + 4; w = t + 16; f = q + 1; k = a + 2. If a = 17, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"f": "g + 13", "m": "f + 5", "z": "m + 19", "x": "z + 18", "o": "x + 14", "i": "o + 20", "v": "g + 6", "c": "v + 19", "l": "c + 17", "k": "l + 19", "p": "k + 5", "e": "p + 14", "g": 9}, "premises": {"g": 9}, "target": "i"}, "answer": {"steps": [["o", "x + 14", "x + 34"], ["x", "z + 18", "z + 52"], ["z", "m + 19", "m + 71"], ["m", "f + 5", "f + 76"], ["f", "g + 13", "g + 89"], ["g", 9, "98"]], "target_var_name": "i", "target_value": 98, "value_dict": {"g": 9}, "is_reverse": true}}
| 710
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = m + 19; v = g + 6; e = p + 14; l = c + 17; k = l + 19; o = x + 14; g = 9; x = z + 18; p = k + 5; m = f + 5; i = o + 20; f = g + 13; c = v + 19. Given that g = 9, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 98,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = x + 14 to i, which gives i = x + 34.\n2. Substitute x = z + 18 to i, which gives i = z + 52.\n3. Substitute z = m + 19 to i, which gives i = m + 71.\n4. Substitute m = f + 5 to i, which gives i = f + 76.\n5. Substitute f = g + 13 to i, which gives i = g + 89.\n6. Substitute g = 9 to i, which gives i = 98.\n\nThus, the final answer is i = \\boxed{98}.",
"index": 710,
"question": "Suppose a collection of variables is related by the following definitions: z = m + 19; v = g + 6; e = p + 14; l = c + 17; k = l + 19; o = x + 14; g = 9; x = z + 18; p = k + 5; m = f + 5; i = o + 20; f = g + 13; c = v + 19. Given that g = 9, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"f": "k + 1", "d": "f + 3", "s": "d + 7", "v": "s + 9", "a": "v + 12", "c": "a + 19", "b": "k + 10", "q": "b + 19", "h": "q + 12", "r": "h + 1", "y": "r + 19", "o": "y + 8", "k": 8}, "premises": {"k": 8}, "target": "c"}, "answer": {"steps": [["a", "v + 12", "v + 31"], ["v", "s + 9", "s + 40"], ["s", "d + 7", "d + 47"], ["d", "f + 3", "f + 50"], ["f", "k + 1", "k + 51"], ["k", 8, "59"]], "target_var_name": "c", "target_value": 59, "value_dict": {"k": 8}, "is_reverse": true}}
| 711
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = f + 3; h = q + 12; a = v + 12; k = 8; s = d + 7; q = b + 19; b = k + 10; v = s + 9; c = a + 19; r = h + 1; y = r + 19; o = y + 8; f = k + 1. Given that k = 8, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = v + 12 to c, which gives c = v + 31.\n2. Substitute v = s + 9 to c, which gives c = s + 40.\n3. Substitute s = d + 7 to c, which gives c = d + 47.\n4. Substitute d = f + 3 to c, which gives c = f + 50.\n5. Substitute f = k + 1 to c, which gives c = k + 51.\n6. Substitute k = 8 to c, which gives c = 59.\n\nThus, the final answer is c = \\boxed{59}.",
"index": 711,
"question": "Suppose a collection of variables is related by the following definitions: d = f + 3; h = q + 12; a = v + 12; k = 8; s = d + 7; q = b + 19; b = k + 10; v = s + 9; c = a + 19; r = h + 1; y = r + 19; o = y + 8; f = k + 1. Given that k = 8, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"o": "k + 3", "d": "o + 16", "r": "d + 16", "f": "r + 9", "m": "f + 10", "q": "m + 17", "j": "k + 7", "z": "j + 12", "v": "z + 13", "s": "v + 20", "w": "s + 18", "y": "w + 2", "k": 19}, "premises": {"k": 19}, "target": "q"}, "answer": {"steps": [["m", "f + 10", "f + 27"], ["f", "r + 9", "r + 36"], ["r", "d + 16", "d + 52"], ["d", "o + 16", "o + 68"], ["o", "k + 3", "k + 71"], ["k", 19, "90"]], "target_var_name": "q", "target_value": 90, "value_dict": {"k": 19}, "is_reverse": true}}
| 712
| 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 = d + 16; q = m + 17; f = r + 9; v = z + 13; o = k + 3; y = w + 2; z = j + 12; m = f + 10; k = 19; w = s + 18; s = v + 20; j = k + 7; d = o + 16. If k = 19, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = f + 10 to q, which gives q = f + 27.\n2. Substitute f = r + 9 to q, which gives q = r + 36.\n3. Substitute r = d + 16 to q, which gives q = d + 52.\n4. Substitute d = o + 16 to q, which gives q = o + 68.\n5. Substitute o = k + 3 to q, which gives q = k + 71.\n6. Substitute k = 19 to q, which gives q = 90.\n\nThus, the final answer is q = \\boxed{90}.",
"index": 712,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = d + 16; q = m + 17; f = r + 9; v = z + 13; o = k + 3; y = w + 2; z = j + 12; m = f + 10; k = 19; w = s + 18; s = v + 20; j = k + 7; d = o + 16. If k = 19, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"m": "f + 10", "z": "m + 10", "w": "z + 7", "j": "w + 12", "p": "j + 9", "c": "p + 11", "r": "f + 19", "l": "r + 14", "s": "l + 12", "t": "s + 19", "a": "t + 8", "k": "a + 13", "f": 10}, "premises": {"f": 10}, "target": "c"}, "answer": {"steps": [["p", "j + 9", "j + 20"], ["j", "w + 12", "w + 32"], ["w", "z + 7", "z + 39"], ["z", "m + 10", "m + 49"], ["m", "f + 10", "f + 59"], ["f", 10, "69"]], "target_var_name": "c", "target_value": 69, "value_dict": {"f": 10}, "is_reverse": true}}
| 713
| 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; l = r + 14; m = f + 10; a = t + 8; j = w + 12; f = 10; c = p + 11; p = j + 9; r = f + 19; z = m + 10; s = l + 12; k = a + 13; w = z + 7. If f = 10, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = j + 9 to c, which gives c = j + 20.\n2. Substitute j = w + 12 to c, which gives c = w + 32.\n3. Substitute w = z + 7 to c, which gives c = z + 39.\n4. Substitute z = m + 10 to c, which gives c = m + 49.\n5. Substitute m = f + 10 to c, which gives c = f + 59.\n6. Substitute f = 10 to c, which gives c = 69.\n\nThus, the final answer is c = \\boxed{69}.",
"index": 713,
"question": "Consider a system of variables where each variable is defined as follows: t = s + 19; l = r + 14; m = f + 10; a = t + 8; j = w + 12; f = 10; c = p + 11; p = j + 9; r = f + 19; z = m + 10; s = l + 12; k = a + 13; w = z + 7. If f = 10, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"c": "f + 10", "n": "c + 6", "u": "n + 13", "q": "u + 20", "s": "q + 9", "z": "s + 15", "e": "f + 6", "j": "e + 1", "y": "j + 11", "k": "y + 11", "r": "k + 16", "p": "r + 16", "f": 5}, "premises": {"f": 5}, "target": "z"}, "answer": {"steps": [["s", "q + 9", "q + 24"], ["q", "u + 20", "u + 44"], ["u", "n + 13", "n + 57"], ["n", "c + 6", "c + 63"], ["c", "f + 10", "f + 73"], ["f", 5, "78"]], "target_var_name": "z", "target_value": 78, "value_dict": {"f": 5}, "is_reverse": true}}
| 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: f = 5; u = n + 13; n = c + 6; y = j + 11; k = y + 11; j = e + 1; r = k + 16; q = u + 20; z = s + 15; p = r + 16; c = f + 10; e = f + 6; s = q + 9. If f = 5, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = q + 9 to z, which gives z = q + 24.\n2. Substitute q = u + 20 to z, which gives z = u + 44.\n3. Substitute u = n + 13 to z, which gives z = n + 57.\n4. Substitute n = c + 6 to z, which gives z = c + 63.\n5. Substitute c = f + 10 to z, which gives z = f + 73.\n6. Substitute f = 5 to z, which gives z = 78.\n\nThus, the final answer is z = \\boxed{78}.",
"index": 714,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = 5; u = n + 13; n = c + 6; y = j + 11; k = y + 11; j = e + 1; r = k + 16; q = u + 20; z = s + 15; p = r + 16; c = f + 10; e = f + 6; s = q + 9. If f = 5, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"w": "m + 17", "c": "w + 13", "v": "c + 10", "f": "v + 15", "d": "f + 7", "g": "d + 1", "k": "m + 16", "j": "k + 16", "x": "j + 18", "o": "x + 1", "b": "o + 13", "n": "b + 1", "m": 5}, "premises": {"m": 5}, "target": "g"}, "answer": {"steps": [["d", "f + 7", "f + 8"], ["f", "v + 15", "v + 23"], ["v", "c + 10", "c + 33"], ["c", "w + 13", "w + 46"], ["w", "m + 17", "m + 63"], ["m", 5, "68"]], "target_var_name": "g", "target_value": 68, "value_dict": {"m": 5}, "is_reverse": true}}
| 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: j = k + 16; b = o + 13; m = 5; x = j + 18; n = b + 1; c = w + 13; k = m + 16; f = v + 15; o = x + 1; w = m + 17; d = f + 7; v = c + 10; g = d + 1. If m = 5, what is the resulting 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 d = f + 7 to g, which gives g = f + 8.\n2. Substitute f = v + 15 to g, which gives g = v + 23.\n3. Substitute v = c + 10 to g, which gives g = c + 33.\n4. Substitute c = w + 13 to g, which gives g = w + 46.\n5. Substitute w = m + 17 to g, which gives g = m + 63.\n6. Substitute m = 5 to g, which gives g = 68.\n\nThus, the final answer is g = \\boxed{68}.",
"index": 715,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = k + 16; b = o + 13; m = 5; x = j + 18; n = b + 1; c = w + 13; k = m + 16; f = v + 15; o = x + 1; w = m + 17; d = f + 7; v = c + 10; g = d + 1. If m = 5, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"f": "e + 10", "h": "f + 10", "l": "h + 11", "c": "l + 5", "r": "c + 19", "k": "r + 20", "s": "e + 10", "u": "s + 15", "q": "u + 6", "x": "q + 4", "n": "x + 10", "g": "n + 16", "e": 10}, "premises": {"e": 10}, "target": "k"}, "answer": {"steps": [["r", "c + 19", "c + 39"], ["c", "l + 5", "l + 44"], ["l", "h + 11", "h + 55"], ["h", "f + 10", "f + 65"], ["f", "e + 10", "e + 75"], ["e", 10, "85"]], "target_var_name": "k", "target_value": 85, "value_dict": {"e": 10}, "is_reverse": true}}
| 716
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = h + 11; q = u + 6; x = q + 4; h = f + 10; e = 10; g = n + 16; r = c + 19; n = x + 10; f = e + 10; s = e + 10; k = r + 20; u = s + 15; c = l + 5. If e = 10, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = c + 19 to k, which gives k = c + 39.\n2. Substitute c = l + 5 to k, which gives k = l + 44.\n3. Substitute l = h + 11 to k, which gives k = h + 55.\n4. Substitute h = f + 10 to k, which gives k = f + 65.\n5. Substitute f = e + 10 to k, which gives k = e + 75.\n6. Substitute e = 10 to k, which gives k = 85.\n\nThus, the final answer is k = \\boxed{85}.",
"index": 716,
"question": "Consider a system of variables where each variable is defined as follows: l = h + 11; q = u + 6; x = q + 4; h = f + 10; e = 10; g = n + 16; r = c + 19; n = x + 10; f = e + 10; s = e + 10; k = r + 20; u = s + 15; c = l + 5. If e = 10, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"m": "u + 14", "c": "m + 13", "v": "c + 8", "h": "v + 10", "g": "h + 20", "a": "g + 2", "p": "u + 10", "r": "p + 6", "y": "r + 10", "s": "y + 10", "o": "s + 10", "d": "o + 13", "u": 1}, "premises": {"u": 1}, "target": "a"}, "answer": {"steps": [["g", "h + 20", "h + 22"], ["h", "v + 10", "v + 32"], ["v", "c + 8", "c + 40"], ["c", "m + 13", "m + 53"], ["m", "u + 14", "u + 67"], ["u", 1, "68"]], "target_var_name": "a", "target_value": 68, "value_dict": {"u": 1}, "is_reverse": true}}
| 717
| 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 = o + 13; v = c + 8; y = r + 10; p = u + 10; m = u + 14; g = h + 20; o = s + 10; u = 1; h = v + 10; s = y + 10; c = m + 13; r = p + 6; a = g + 2. If u = 1, what is the resulting 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 g = h + 20 to a, which gives a = h + 22.\n2. Substitute h = v + 10 to a, which gives a = v + 32.\n3. Substitute v = c + 8 to a, which gives a = c + 40.\n4. Substitute c = m + 13 to a, which gives a = m + 53.\n5. Substitute m = u + 14 to a, which gives a = u + 67.\n6. Substitute u = 1 to a, which gives a = 68.\n\nThus, the final answer is a = \\boxed{68}.",
"index": 717,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = o + 13; v = c + 8; y = r + 10; p = u + 10; m = u + 14; g = h + 20; o = s + 10; u = 1; h = v + 10; s = y + 10; c = m + 13; r = p + 6; a = g + 2. If u = 1, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"q": "a + 1", "r": "q + 9", "d": "r + 8", "s": "d + 13", "n": "s + 10", "c": "n + 2", "u": "a + 7", "l": "u + 8", "m": "l + 17", "w": "m + 20", "p": "w + 5", "h": "p + 15", "a": 17}, "premises": {"a": 17}, "target": "c"}, "answer": {"steps": [["n", "s + 10", "s + 12"], ["s", "d + 13", "d + 25"], ["d", "r + 8", "r + 33"], ["r", "q + 9", "q + 42"], ["q", "a + 1", "a + 43"], ["a", 17, "60"]], "target_var_name": "c", "target_value": 60, "value_dict": {"a": 17}, "is_reverse": true}}
| 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: a = 17; c = n + 2; d = r + 8; p = w + 5; s = d + 13; n = s + 10; w = m + 20; l = u + 8; h = p + 15; m = l + 17; r = q + 9; q = a + 1; u = a + 7. If a = 17, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = s + 10 to c, which gives c = s + 12.\n2. Substitute s = d + 13 to c, which gives c = d + 25.\n3. Substitute d = r + 8 to c, which gives c = r + 33.\n4. Substitute r = q + 9 to c, which gives c = q + 42.\n5. Substitute q = a + 1 to c, which gives c = a + 43.\n6. Substitute a = 17 to c, which gives c = 60.\n\nThus, the final answer is c = \\boxed{60}.",
"index": 718,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = 17; c = n + 2; d = r + 8; p = w + 5; s = d + 13; n = s + 10; w = m + 20; l = u + 8; h = p + 15; m = l + 17; r = q + 9; q = a + 1; u = a + 7. If a = 17, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"e": "p + 20", "f": "e + 15", "r": "f + 17", "o": "r + 19", "j": "o + 19", "c": "j + 19", "y": "p + 13", "z": "y + 7", "k": "z + 7", "l": "k + 1", "d": "l + 14", "b": "d + 1", "p": 19}, "premises": {"p": 19}, "target": "c"}, "answer": {"steps": [["j", "o + 19", "o + 38"], ["o", "r + 19", "r + 57"], ["r", "f + 17", "f + 74"], ["f", "e + 15", "e + 89"], ["e", "p + 20", "p + 109"], ["p", 19, "128"]], "target_var_name": "c", "target_value": 128, "value_dict": {"p": 19}, "is_reverse": true}}
| 719
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = j + 19; f = e + 15; d = l + 14; k = z + 7; p = 19; j = o + 19; e = p + 20; l = k + 1; b = d + 1; r = f + 17; z = y + 7; y = p + 13; o = r + 19. Given that p = 19, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 128,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = o + 19 to c, which gives c = o + 38.\n2. Substitute o = r + 19 to c, which gives c = r + 57.\n3. Substitute r = f + 17 to c, which gives c = f + 74.\n4. Substitute f = e + 15 to c, which gives c = e + 89.\n5. Substitute e = p + 20 to c, which gives c = p + 109.\n6. Substitute p = 19 to c, which gives c = 128.\n\nThus, the final answer is c = \\boxed{128}.",
"index": 719,
"question": "Suppose a collection of variables is related by the following definitions: c = j + 19; f = e + 15; d = l + 14; k = z + 7; p = 19; j = o + 19; e = p + 20; l = k + 1; b = d + 1; r = f + 17; z = y + 7; y = p + 13; o = r + 19. Given that p = 19, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"c": "l + 1", "j": "c + 2", "s": "j + 14", "x": "s + 16", "b": "x + 20", "k": "b + 2", "d": "l + 8", "t": "d + 15", "f": "t + 4", "a": "f + 13", "e": "a + 20", "v": "e + 8", "l": 15}, "premises": {"l": 15}, "target": "k"}, "answer": {"steps": [["b", "x + 20", "x + 22"], ["x", "s + 16", "s + 38"], ["s", "j + 14", "j + 52"], ["j", "c + 2", "c + 54"], ["c", "l + 1", "l + 55"], ["l", 15, "70"]], "target_var_name": "k", "target_value": 70, "value_dict": {"l": 15}, "is_reverse": true}}
| 720
| 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 + 1; a = f + 13; f = t + 4; j = c + 2; v = e + 8; d = l + 8; e = a + 20; x = s + 16; k = b + 2; b = x + 20; s = j + 14; l = 15; t = d + 15. If l = 15, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = x + 20 to k, which gives k = x + 22.\n2. Substitute x = s + 16 to k, which gives k = s + 38.\n3. Substitute s = j + 14 to k, which gives k = j + 52.\n4. Substitute j = c + 2 to k, which gives k = c + 54.\n5. Substitute c = l + 1 to k, which gives k = l + 55.\n6. Substitute l = 15 to k, which gives k = 70.\n\nThus, the final answer is k = \\boxed{70}.",
"index": 720,
"question": "Consider a system of variables where each variable is defined as follows: c = l + 1; a = f + 13; f = t + 4; j = c + 2; v = e + 8; d = l + 8; e = a + 20; x = s + 16; k = b + 2; b = x + 20; s = j + 14; l = 15; t = d + 15. If l = 15, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"q": "o + 2", "p": "q + 16", "f": "p + 2", "k": "f + 7", "h": "k + 12", "z": "h + 18", "j": "o + 10", "u": "j + 11", "n": "u + 18", "i": "n + 11", "y": "i + 18", "a": "y + 14", "o": 7}, "premises": {"o": 7}, "target": "z"}, "answer": {"steps": [["h", "k + 12", "k + 30"], ["k", "f + 7", "f + 37"], ["f", "p + 2", "p + 39"], ["p", "q + 16", "q + 55"], ["q", "o + 2", "o + 57"], ["o", 7, "64"]], "target_var_name": "z", "target_value": 64, "value_dict": {"o": 7}, "is_reverse": true}}
| 721
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = o + 10; i = n + 11; f = p + 2; p = q + 16; n = u + 18; a = y + 14; z = h + 18; h = k + 12; u = j + 11; y = i + 18; o = 7; q = o + 2; k = f + 7. 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 h = k + 12 to z, which gives z = k + 30.\n2. Substitute k = f + 7 to z, which gives z = f + 37.\n3. Substitute f = p + 2 to z, which gives z = p + 39.\n4. Substitute p = q + 16 to z, which gives z = q + 55.\n5. Substitute q = o + 2 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": 721,
"question": "Suppose a collection of variables is related by the following definitions: j = o + 10; i = n + 11; f = p + 2; p = q + 16; n = u + 18; a = y + 14; z = h + 18; h = k + 12; u = j + 11; y = i + 18; o = 7; q = o + 2; k = f + 7. Given that o = 7, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"j": "d + 10", "z": "j + 7", "y": "z + 3", "u": "y + 5", "f": "u + 12", "k": "f + 1", "w": "d + 19", "l": "w + 10", "v": "l + 3", "i": "v + 3", "r": "i + 16", "c": "r + 3", "d": 12}, "premises": {"d": 12}, "target": "k"}, "answer": {"steps": [["f", "u + 12", "u + 13"], ["u", "y + 5", "y + 18"], ["y", "z + 3", "z + 21"], ["z", "j + 7", "j + 28"], ["j", "d + 10", "d + 38"], ["d", 12, "50"]], "target_var_name": "k", "target_value": 50, "value_dict": {"d": 12}, "is_reverse": true}}
| 722
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = w + 10; c = r + 3; u = y + 5; w = d + 19; f = u + 12; j = d + 10; r = i + 16; i = v + 3; y = z + 3; d = 12; z = j + 7; k = f + 1; v = l + 3. Given that d = 12, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 50,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = u + 12 to k, which gives k = u + 13.\n2. Substitute u = y + 5 to k, which gives k = y + 18.\n3. Substitute y = z + 3 to k, which gives k = z + 21.\n4. Substitute z = j + 7 to k, which gives k = j + 28.\n5. Substitute j = d + 10 to k, which gives k = d + 38.\n6. Substitute d = 12 to k, which gives k = 50.\n\nThus, the final answer is k = \\boxed{50}.",
"index": 722,
"question": "Suppose a collection of variables is related by the following definitions: l = w + 10; c = r + 3; u = y + 5; w = d + 19; f = u + 12; j = d + 10; r = i + 16; i = v + 3; y = z + 3; d = 12; z = j + 7; k = f + 1; v = l + 3. Given that d = 12, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"c": "l + 12", "o": "c + 13", "m": "o + 3", "v": "m + 13", "n": "v + 19", "r": "n + 13", "t": "l + 12", "i": "t + 14", "a": "i + 11", "g": "a + 12", "w": "g + 18", "u": "w + 17", "l": 3}, "premises": {"l": 3}, "target": "r"}, "answer": {"steps": [["n", "v + 19", "v + 32"], ["v", "m + 13", "m + 45"], ["m", "o + 3", "o + 48"], ["o", "c + 13", "c + 61"], ["c", "l + 12", "l + 73"], ["l", 3, "76"]], "target_var_name": "r", "target_value": 76, "value_dict": {"l": 3}, "is_reverse": true}}
| 723
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = c + 13; u = w + 17; n = v + 19; t = l + 12; g = a + 12; l = 3; i = t + 14; w = g + 18; c = l + 12; m = o + 3; a = i + 11; v = m + 13; r = n + 13. Given that l = 3, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = v + 19 to r, which gives r = v + 32.\n2. Substitute v = m + 13 to r, which gives r = m + 45.\n3. Substitute m = o + 3 to r, which gives r = o + 48.\n4. Substitute o = c + 13 to r, which gives r = c + 61.\n5. Substitute c = l + 12 to r, which gives r = l + 73.\n6. Substitute l = 3 to r, which gives r = 76.\n\nThus, the final answer is r = \\boxed{76}.",
"index": 723,
"question": "Suppose a collection of variables is related by the following definitions: o = c + 13; u = w + 17; n = v + 19; t = l + 12; g = a + 12; l = 3; i = t + 14; w = g + 18; c = l + 12; m = o + 3; a = i + 11; v = m + 13; r = n + 13. Given that l = 3, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"c": "l + 10", "m": "c + 10", "g": "m + 10", "o": "g + 15", "e": "o + 15", "n": "e + 7", "u": "l + 11", "b": "u + 11", "x": "b + 12", "q": "x + 6", "h": "q + 2", "f": "h + 4", "l": 12}, "premises": {"l": 12}, "target": "n"}, "answer": {"steps": [["e", "o + 15", "o + 22"], ["o", "g + 15", "g + 37"], ["g", "m + 10", "m + 47"], ["m", "c + 10", "c + 57"], ["c", "l + 10", "l + 67"], ["l", 12, "79"]], "target_var_name": "n", "target_value": 79, "value_dict": {"l": 12}, "is_reverse": true}}
| 724
| 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 + 10; e = o + 15; h = q + 2; x = b + 12; m = c + 10; q = x + 6; n = e + 7; o = g + 15; f = h + 4; b = u + 11; l = 12; g = m + 10; u = l + 11. If l = 12, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = o + 15 to n, which gives n = o + 22.\n2. Substitute o = g + 15 to n, which gives n = g + 37.\n3. Substitute g = m + 10 to n, which gives n = m + 47.\n4. Substitute m = c + 10 to n, which gives n = c + 57.\n5. Substitute c = l + 10 to n, which gives n = l + 67.\n6. Substitute l = 12 to n, which gives n = 79.\n\nThus, the final answer is n = \\boxed{79}.",
"index": 724,
"question": "Consider a system of variables where each variable is defined as follows: c = l + 10; e = o + 15; h = q + 2; x = b + 12; m = c + 10; q = x + 6; n = e + 7; o = g + 15; f = h + 4; b = u + 11; l = 12; g = m + 10; u = l + 11. If l = 12, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"v": "h + 13", "r": "v + 9", "e": "r + 18", "a": "e + 17", "u": "a + 16", "l": "u + 2", "o": "h + 1", "f": "o + 11", "b": "f + 2", "i": "b + 1", "k": "i + 11", "g": "k + 7", "h": 18}, "premises": {"h": 18}, "target": "l"}, "answer": {"steps": [["u", "a + 16", "a + 18"], ["a", "e + 17", "e + 35"], ["e", "r + 18", "r + 53"], ["r", "v + 9", "v + 62"], ["v", "h + 13", "h + 75"], ["h", 18, "93"]], "target_var_name": "l", "target_value": 93, "value_dict": {"h": 18}, "is_reverse": true}}
| 725
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = a + 16; l = u + 2; r = v + 9; g = k + 7; b = f + 2; h = 18; k = i + 11; v = h + 13; i = b + 1; o = h + 1; f = o + 11; a = e + 17; e = r + 18. Given that h = 18, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = a + 16 to l, which gives l = a + 18.\n2. Substitute a = e + 17 to l, which gives l = e + 35.\n3. Substitute e = r + 18 to l, which gives l = r + 53.\n4. Substitute r = v + 9 to l, which gives l = v + 62.\n5. Substitute v = h + 13 to l, which gives l = h + 75.\n6. Substitute h = 18 to l, which gives l = 93.\n\nThus, the final answer is l = \\boxed{93}.",
"index": 725,
"question": "Suppose a collection of variables is related by the following definitions: u = a + 16; l = u + 2; r = v + 9; g = k + 7; b = f + 2; h = 18; k = i + 11; v = h + 13; i = b + 1; o = h + 1; f = o + 11; a = e + 17; e = r + 18. Given that h = 18, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"f": "q + 2", "d": "f + 15", "z": "d + 3", "b": "z + 15", "s": "b + 17", "x": "s + 2", "h": "q + 11", "u": "h + 6", "p": "u + 12", "v": "p + 15", "o": "v + 11", "n": "o + 17", "q": 14}, "premises": {"q": 14}, "target": "x"}, "answer": {"steps": [["s", "b + 17", "b + 19"], ["b", "z + 15", "z + 34"], ["z", "d + 3", "d + 37"], ["d", "f + 15", "f + 52"], ["f", "q + 2", "q + 54"], ["q", 14, "68"]], "target_var_name": "x", "target_value": 68, "value_dict": {"q": 14}, "is_reverse": true}}
| 726
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = u + 12; d = f + 15; v = p + 15; h = q + 11; n = o + 17; x = s + 2; u = h + 6; q = 14; s = b + 17; o = v + 11; f = q + 2; z = d + 3; b = z + 15. Given that q = 14, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = b + 17 to x, which gives x = b + 19.\n2. Substitute b = z + 15 to x, which gives x = z + 34.\n3. Substitute z = d + 3 to x, which gives x = d + 37.\n4. Substitute d = f + 15 to x, which gives x = f + 52.\n5. Substitute f = q + 2 to x, which gives x = q + 54.\n6. Substitute q = 14 to x, which gives x = 68.\n\nThus, the final answer is x = \\boxed{68}.",
"index": 726,
"question": "Suppose a collection of variables is related by the following definitions: p = u + 12; d = f + 15; v = p + 15; h = q + 11; n = o + 17; x = s + 2; u = h + 6; q = 14; s = b + 17; o = v + 11; f = q + 2; z = d + 3; b = z + 15. Given that q = 14, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"y": "i + 13", "e": "y + 20", "x": "e + 19", "n": "x + 19", "g": "n + 3", "f": "g + 3", "o": "i + 8", "k": "o + 20", "s": "k + 5", "t": "s + 8", "b": "t + 2", "c": "b + 8", "i": 18}, "premises": {"i": 18}, "target": "f"}, "answer": {"steps": [["g", "n + 3", "n + 6"], ["n", "x + 19", "x + 25"], ["x", "e + 19", "e + 44"], ["e", "y + 20", "y + 64"], ["y", "i + 13", "i + 77"], ["i", 18, "95"]], "target_var_name": "f", "target_value": 95, "value_dict": {"i": 18}, "is_reverse": true}}
| 727
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = 18; f = g + 3; k = o + 20; b = t + 2; g = n + 3; o = i + 8; t = s + 8; n = x + 19; e = y + 20; s = k + 5; c = b + 8; y = i + 13; x = e + 19. If i = 18, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = n + 3 to f, which gives f = n + 6.\n2. Substitute n = x + 19 to f, which gives f = x + 25.\n3. Substitute x = e + 19 to f, which gives f = e + 44.\n4. Substitute e = y + 20 to f, which gives f = y + 64.\n5. Substitute y = i + 13 to f, which gives f = i + 77.\n6. Substitute i = 18 to f, which gives f = 95.\n\nThus, the final answer is f = \\boxed{95}.",
"index": 727,
"question": "Consider a system of variables where each variable is defined as follows: i = 18; f = g + 3; k = o + 20; b = t + 2; g = n + 3; o = i + 8; t = s + 8; n = x + 19; e = y + 20; s = k + 5; c = b + 8; y = i + 13; x = e + 19. If i = 18, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"m": "k + 8", "l": "m + 8", "g": "l + 13", "v": "g + 12", "i": "v + 7", "p": "i + 6", "e": "k + 12", "s": "e + 11", "r": "s + 6", "x": "r + 2", "f": "x + 11", "b": "f + 20", "k": 13}, "premises": {"k": 13}, "target": "p"}, "answer": {"steps": [["i", "v + 7", "v + 13"], ["v", "g + 12", "g + 25"], ["g", "l + 13", "l + 38"], ["l", "m + 8", "m + 46"], ["m", "k + 8", "k + 54"], ["k", 13, "67"]], "target_var_name": "p", "target_value": 67, "value_dict": {"k": 13}, "is_reverse": true}}
| 728
| 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 = v + 7; x = r + 2; v = g + 12; p = i + 6; e = k + 12; m = k + 8; g = l + 13; k = 13; f = x + 11; s = e + 11; r = s + 6; b = f + 20; l = m + 8. If k = 13, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = v + 7 to p, which gives p = v + 13.\n2. Substitute v = g + 12 to p, which gives p = g + 25.\n3. Substitute g = l + 13 to p, which gives p = l + 38.\n4. Substitute l = m + 8 to p, which gives p = m + 46.\n5. Substitute m = k + 8 to p, which gives p = k + 54.\n6. Substitute k = 13 to p, which gives p = 67.\n\nThus, the final answer is p = \\boxed{67}.",
"index": 728,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = v + 7; x = r + 2; v = g + 12; p = i + 6; e = k + 12; m = k + 8; g = l + 13; k = 13; f = x + 11; s = e + 11; r = s + 6; b = f + 20; l = m + 8. If k = 13, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"y": "p + 1", "e": "y + 18", "s": "e + 12", "z": "s + 1", "k": "z + 20", "i": "k + 14", "x": "p + 7", "r": "x + 9", "j": "r + 10", "o": "j + 17", "l": "o + 2", "q": "l + 16", "p": 17}, "premises": {"p": 17}, "target": "i"}, "answer": {"steps": [["k", "z + 20", "z + 34"], ["z", "s + 1", "s + 35"], ["s", "e + 12", "e + 47"], ["e", "y + 18", "y + 65"], ["y", "p + 1", "p + 66"], ["p", 17, "83"]], "target_var_name": "i", "target_value": 83, "value_dict": {"p": 17}, "is_reverse": true}}
| 729
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = p + 1; j = r + 10; s = e + 12; e = y + 18; z = s + 1; i = k + 14; x = p + 7; p = 17; q = l + 16; o = j + 17; r = x + 9; k = z + 20; l = o + 2. Given that p = 17, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = z + 20 to i, which gives i = z + 34.\n2. Substitute z = s + 1 to i, which gives i = s + 35.\n3. Substitute s = e + 12 to i, which gives i = e + 47.\n4. Substitute e = y + 18 to i, which gives i = y + 65.\n5. Substitute y = p + 1 to i, which gives i = p + 66.\n6. Substitute p = 17 to i, which gives i = 83.\n\nThus, the final answer is i = \\boxed{83}.",
"index": 729,
"question": "Suppose a collection of variables is related by the following definitions: y = p + 1; j = r + 10; s = e + 12; e = y + 18; z = s + 1; i = k + 14; x = p + 7; p = 17; q = l + 16; o = j + 17; r = x + 9; k = z + 20; l = o + 2. Given that p = 17, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"h": "z + 2", "a": "h + 20", "d": "a + 14", "k": "d + 9", "c": "k + 12", "w": "c + 2", "m": "z + 6", "i": "m + 18", "j": "i + 4", "p": "j + 5", "y": "p + 20", "f": "y + 20", "z": 1}, "premises": {"z": 1}, "target": "w"}, "answer": {"steps": [["c", "k + 12", "k + 14"], ["k", "d + 9", "d + 23"], ["d", "a + 14", "a + 37"], ["a", "h + 20", "h + 57"], ["h", "z + 2", "z + 59"], ["z", 1, "60"]], "target_var_name": "w", "target_value": 60, "value_dict": {"z": 1}, "is_reverse": true}}
| 730
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = h + 20; d = a + 14; w = c + 2; h = z + 2; i = m + 18; m = z + 6; c = k + 12; k = d + 9; z = 1; f = y + 20; p = j + 5; y = p + 20; j = i + 4. If z = 1, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = k + 12 to w, which gives w = k + 14.\n2. Substitute k = d + 9 to w, which gives w = d + 23.\n3. Substitute d = a + 14 to w, which gives w = a + 37.\n4. Substitute a = h + 20 to w, which gives w = h + 57.\n5. Substitute h = z + 2 to w, which gives w = z + 59.\n6. Substitute z = 1 to w, which gives w = 60.\n\nThus, the final answer is w = \\boxed{60}.",
"index": 730,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = h + 20; d = a + 14; w = c + 2; h = z + 2; i = m + 18; m = z + 6; c = k + 12; k = d + 9; z = 1; f = y + 20; p = j + 5; y = p + 20; j = i + 4. If z = 1, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"c": "t + 11", "y": "c + 15", "u": "y + 8", "w": "u + 12", "n": "w + 20", "o": "n + 18", "f": "t + 9", "q": "f + 15", "m": "q + 4", "v": "m + 7", "e": "v + 12", "i": "e + 4", "t": 10}, "premises": {"t": 10}, "target": "o"}, "answer": {"steps": [["n", "w + 20", "w + 38"], ["w", "u + 12", "u + 50"], ["u", "y + 8", "y + 58"], ["y", "c + 15", "c + 73"], ["c", "t + 11", "t + 84"], ["t", 10, "94"]], "target_var_name": "o", "target_value": 94, "value_dict": {"t": 10}, "is_reverse": true}}
| 731
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = e + 4; c = t + 11; q = f + 15; m = q + 4; e = v + 12; v = m + 7; n = w + 20; u = y + 8; f = t + 9; t = 10; y = c + 15; o = n + 18; w = u + 12. Given that t = 10, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = w + 20 to o, which gives o = w + 38.\n2. Substitute w = u + 12 to o, which gives o = u + 50.\n3. Substitute u = y + 8 to o, which gives o = y + 58.\n4. Substitute y = c + 15 to o, which gives o = c + 73.\n5. Substitute c = t + 11 to o, which gives o = t + 84.\n6. Substitute t = 10 to o, which gives o = 94.\n\nThus, the final answer is o = \\boxed{94}.",
"index": 731,
"question": "Suppose a collection of variables is related by the following definitions: i = e + 4; c = t + 11; q = f + 15; m = q + 4; e = v + 12; v = m + 7; n = w + 20; u = y + 8; f = t + 9; t = 10; y = c + 15; o = n + 18; w = u + 12. Given that t = 10, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"p": "a + 13", "e": "p + 19", "v": "e + 16", "y": "v + 7", "f": "y + 6", "s": "f + 20", "w": "a + 2", "n": "w + 9", "l": "n + 6", "z": "l + 3", "h": "z + 12", "r": "h + 15", "a": 2}, "premises": {"a": 2}, "target": "s"}, "answer": {"steps": [["f", "y + 6", "y + 26"], ["y", "v + 7", "v + 33"], ["v", "e + 16", "e + 49"], ["e", "p + 19", "p + 68"], ["p", "a + 13", "a + 81"], ["a", 2, "83"]], "target_var_name": "s", "target_value": 83, "value_dict": {"a": 2}, "is_reverse": true}}
| 732
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = a + 13; l = n + 6; s = f + 20; z = l + 3; y = v + 7; h = z + 12; w = a + 2; a = 2; v = e + 16; n = w + 9; f = y + 6; r = h + 15; e = p + 19. Given that a = 2, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = y + 6 to s, which gives s = y + 26.\n2. Substitute y = v + 7 to s, which gives s = v + 33.\n3. Substitute v = e + 16 to s, which gives s = e + 49.\n4. Substitute e = p + 19 to s, which gives s = p + 68.\n5. Substitute p = a + 13 to s, which gives s = a + 81.\n6. Substitute a = 2 to s, which gives s = 83.\n\nThus, the final answer is s = \\boxed{83}.",
"index": 732,
"question": "Suppose a collection of variables is related by the following definitions: p = a + 13; l = n + 6; s = f + 20; z = l + 3; y = v + 7; h = z + 12; w = a + 2; a = 2; v = e + 16; n = w + 9; f = y + 6; r = h + 15; e = p + 19. Given that a = 2, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"z": "p + 18", "s": "z + 2", "h": "s + 12", "n": "h + 2", "a": "n + 3", "f": "a + 20", "d": "p + 14", "r": "d + 17", "t": "r + 5", "l": "t + 7", "g": "l + 11", "y": "g + 2", "p": 18}, "premises": {"p": 18}, "target": "f"}, "answer": {"steps": [["a", "n + 3", "n + 23"], ["n", "h + 2", "h + 25"], ["h", "s + 12", "s + 37"], ["s", "z + 2", "z + 39"], ["z", "p + 18", "p + 57"], ["p", 18, "75"]], "target_var_name": "f", "target_value": 75, "value_dict": {"p": 18}, "is_reverse": true}}
| 733
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = r + 5; d = p + 14; z = p + 18; n = h + 2; s = z + 2; r = d + 17; p = 18; f = a + 20; h = s + 12; a = n + 3; g = l + 11; l = t + 7; y = g + 2. Given that p = 18, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = n + 3 to f, which gives f = n + 23.\n2. Substitute n = h + 2 to f, which gives f = h + 25.\n3. Substitute h = s + 12 to f, which gives f = s + 37.\n4. Substitute s = z + 2 to f, which gives f = z + 39.\n5. Substitute z = p + 18 to f, which gives f = p + 57.\n6. Substitute p = 18 to f, which gives f = 75.\n\nThus, the final answer is f = \\boxed{75}.",
"index": 733,
"question": "Suppose a collection of variables is related by the following definitions: t = r + 5; d = p + 14; z = p + 18; n = h + 2; s = z + 2; r = d + 17; p = 18; f = a + 20; h = s + 12; a = n + 3; g = l + 11; l = t + 7; y = g + 2. Given that p = 18, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"j": "t + 12", "f": "j + 12", "v": "f + 17", "z": "v + 14", "b": "z + 16", "x": "b + 13", "k": "t + 6", "g": "k + 14", "m": "g + 14", "h": "m + 19", "e": "h + 7", "n": "e + 11", "t": 2}, "premises": {"t": 2}, "target": "x"}, "answer": {"steps": [["b", "z + 16", "z + 29"], ["z", "v + 14", "v + 43"], ["v", "f + 17", "f + 60"], ["f", "j + 12", "j + 72"], ["j", "t + 12", "t + 84"], ["t", 2, "86"]], "target_var_name": "x", "target_value": 86, "value_dict": {"t": 2}, "is_reverse": true}}
| 734
| 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 = 2; m = g + 14; n = e + 11; g = k + 14; z = v + 14; k = t + 6; j = t + 12; v = f + 17; x = b + 13; b = z + 16; h = m + 19; e = h + 7; f = j + 12. If t = 2, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = z + 16 to x, which gives x = z + 29.\n2. Substitute z = v + 14 to x, which gives x = v + 43.\n3. Substitute v = f + 17 to x, which gives x = f + 60.\n4. Substitute f = j + 12 to x, which gives x = j + 72.\n5. Substitute j = t + 12 to x, which gives x = t + 84.\n6. Substitute t = 2 to x, which gives x = 86.\n\nThus, the final answer is x = \\boxed{86}.",
"index": 734,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = 2; m = g + 14; n = e + 11; g = k + 14; z = v + 14; k = t + 6; j = t + 12; v = f + 17; x = b + 13; b = z + 16; h = m + 19; e = h + 7; f = j + 12. If t = 2, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"m": "s + 18", "a": "m + 19", "z": "a + 12", "f": "z + 10", "v": "f + 1", "x": "v + 4", "h": "s + 5", "p": "h + 3", "d": "p + 18", "l": "d + 16", "b": "l + 15", "k": "b + 13", "s": 13}, "premises": {"s": 13}, "target": "x"}, "answer": {"steps": [["v", "f + 1", "f + 5"], ["f", "z + 10", "z + 15"], ["z", "a + 12", "a + 27"], ["a", "m + 19", "m + 46"], ["m", "s + 18", "s + 64"], ["s", 13, "77"]], "target_var_name": "x", "target_value": 77, "value_dict": {"s": 13}, "is_reverse": true}}
| 735
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = s + 5; a = m + 19; p = h + 3; b = l + 15; k = b + 13; m = s + 18; l = d + 16; v = f + 1; d = p + 18; x = v + 4; s = 13; f = z + 10; z = a + 12. Given that s = 13, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = f + 1 to x, which gives x = f + 5.\n2. Substitute f = z + 10 to x, which gives x = z + 15.\n3. Substitute z = a + 12 to x, which gives x = a + 27.\n4. Substitute a = m + 19 to x, which gives x = m + 46.\n5. Substitute m = s + 18 to x, which gives x = s + 64.\n6. Substitute s = 13 to x, which gives x = 77.\n\nThus, the final answer is x = \\boxed{77}.",
"index": 735,
"question": "Suppose a collection of variables is related by the following definitions: h = s + 5; a = m + 19; p = h + 3; b = l + 15; k = b + 13; m = s + 18; l = d + 16; v = f + 1; d = p + 18; x = v + 4; s = 13; f = z + 10; z = a + 12. Given that s = 13, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"g": "k + 9", "h": "g + 5", "x": "h + 11", "r": "x + 18", "a": "r + 20", "f": "a + 3", "o": "k + 10", "n": "o + 8", "d": "n + 11", "m": "d + 4", "v": "m + 14", "u": "v + 3", "k": 1}, "premises": {"k": 1}, "target": "f"}, "answer": {"steps": [["a", "r + 20", "r + 23"], ["r", "x + 18", "x + 41"], ["x", "h + 11", "h + 52"], ["h", "g + 5", "g + 57"], ["g", "k + 9", "k + 66"], ["k", 1, "67"]], "target_var_name": "f", "target_value": 67, "value_dict": {"k": 1}, "is_reverse": true}}
| 736
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = 1; h = g + 5; v = m + 14; u = v + 3; f = a + 3; n = o + 8; a = r + 20; g = k + 9; o = k + 10; x = h + 11; m = d + 4; r = x + 18; d = n + 11. If k = 1, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = r + 20 to f, which gives f = r + 23.\n2. Substitute r = x + 18 to f, which gives f = x + 41.\n3. Substitute x = h + 11 to f, which gives f = h + 52.\n4. Substitute h = g + 5 to f, which gives f = g + 57.\n5. Substitute g = k + 9 to f, which gives f = k + 66.\n6. Substitute k = 1 to f, which gives f = 67.\n\nThus, the final answer is f = \\boxed{67}.",
"index": 736,
"question": "Consider a system of variables where each variable is defined as follows: k = 1; h = g + 5; v = m + 14; u = v + 3; f = a + 3; n = o + 8; a = r + 20; g = k + 9; o = k + 10; x = h + 11; m = d + 4; r = x + 18; d = n + 11. If k = 1, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"w": "o + 9", "s": "w + 13", "r": "s + 20", "v": "r + 5", "k": "v + 11", "e": "k + 17", "l": "o + 3", "j": "l + 2", "i": "j + 6", "c": "i + 11", "y": "c + 13", "d": "y + 8", "o": 16}, "premises": {"o": 16}, "target": "e"}, "answer": {"steps": [["k", "v + 11", "v + 28"], ["v", "r + 5", "r + 33"], ["r", "s + 20", "s + 53"], ["s", "w + 13", "w + 66"], ["w", "o + 9", "o + 75"], ["o", 16, "91"]], "target_var_name": "e", "target_value": 91, "value_dict": {"o": 16}, "is_reverse": true}}
| 737
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = r + 5; i = j + 6; c = i + 11; s = w + 13; r = s + 20; o = 16; e = k + 17; l = o + 3; w = o + 9; d = y + 8; j = l + 2; y = c + 13; k = v + 11. If o = 16, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = v + 11 to e, which gives e = v + 28.\n2. Substitute v = r + 5 to e, which gives e = r + 33.\n3. Substitute r = s + 20 to e, which gives e = s + 53.\n4. Substitute s = w + 13 to e, which gives e = w + 66.\n5. Substitute w = o + 9 to e, which gives e = o + 75.\n6. Substitute o = 16 to e, which gives e = 91.\n\nThus, the final answer is e = \\boxed{91}.",
"index": 737,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = r + 5; i = j + 6; c = i + 11; s = w + 13; r = s + 20; o = 16; e = k + 17; l = o + 3; w = o + 9; d = y + 8; j = l + 2; y = c + 13; k = v + 11. If o = 16, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"b": "d + 14", "v": "b + 6", "z": "v + 11", "m": "z + 1", "i": "m + 2", "g": "i + 16", "h": "d + 12", "w": "h + 16", "k": "w + 20", "c": "k + 20", "s": "c + 7", "p": "s + 12", "d": 9}, "premises": {"d": 9}, "target": "g"}, "answer": {"steps": [["i", "m + 2", "m + 18"], ["m", "z + 1", "z + 19"], ["z", "v + 11", "v + 30"], ["v", "b + 6", "b + 36"], ["b", "d + 14", "d + 50"], ["d", 9, "59"]], "target_var_name": "g", "target_value": 59, "value_dict": {"d": 9}, "is_reverse": true}}
| 738
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = h + 16; h = d + 12; v = b + 6; z = v + 11; b = d + 14; g = i + 16; k = w + 20; d = 9; c = k + 20; i = m + 2; p = s + 12; s = c + 7; m = z + 1. If d = 9, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = m + 2 to g, which gives g = m + 18.\n2. Substitute m = z + 1 to g, which gives g = z + 19.\n3. Substitute z = v + 11 to g, which gives g = v + 30.\n4. Substitute v = b + 6 to g, which gives g = b + 36.\n5. Substitute b = d + 14 to g, which gives g = d + 50.\n6. Substitute d = 9 to g, which gives g = 59.\n\nThus, the final answer is g = \\boxed{59}.",
"index": 738,
"question": "Consider a system of variables where each variable is defined as follows: w = h + 16; h = d + 12; v = b + 6; z = v + 11; b = d + 14; g = i + 16; k = w + 20; d = 9; c = k + 20; i = m + 2; p = s + 12; s = c + 7; m = z + 1. If d = 9, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"u": "t + 3", "h": "u + 8", "q": "h + 15", "m": "q + 16", "w": "m + 2", "r": "w + 10", "i": "t + 14", "k": "i + 18", "a": "k + 12", "g": "a + 9", "j": "g + 19", "c": "j + 8", "t": 11}, "premises": {"t": 11}, "target": "r"}, "answer": {"steps": [["w", "m + 2", "m + 12"], ["m", "q + 16", "q + 28"], ["q", "h + 15", "h + 43"], ["h", "u + 8", "u + 51"], ["u", "t + 3", "t + 54"], ["t", 11, "65"]], "target_var_name": "r", "target_value": 65, "value_dict": {"t": 11}, "is_reverse": true}}
| 739
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = w + 10; h = u + 8; q = h + 15; j = g + 19; w = m + 2; t = 11; m = q + 16; k = i + 18; i = t + 14; a = k + 12; u = t + 3; c = j + 8; g = a + 9. If t = 11, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = m + 2 to r, which gives r = m + 12.\n2. Substitute m = q + 16 to r, which gives r = q + 28.\n3. Substitute q = h + 15 to r, which gives r = h + 43.\n4. Substitute h = u + 8 to r, which gives r = u + 51.\n5. Substitute u = t + 3 to r, which gives r = t + 54.\n6. Substitute t = 11 to r, which gives r = 65.\n\nThus, the final answer is r = \\boxed{65}.",
"index": 739,
"question": "Consider a system of variables where each variable is defined as follows: r = w + 10; h = u + 8; q = h + 15; j = g + 19; w = m + 2; t = 11; m = q + 16; k = i + 18; i = t + 14; a = k + 12; u = t + 3; c = j + 8; g = a + 9. If t = 11, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"m": "h + 8", "k": "m + 18", "r": "k + 2", "p": "r + 7", "c": "p + 4", "w": "c + 1", "e": "h + 1", "t": "e + 2", "g": "t + 14", "y": "g + 8", "v": "y + 7", "z": "v + 2", "h": 15}, "premises": {"h": 15}, "target": "w"}, "answer": {"steps": [["c", "p + 4", "p + 5"], ["p", "r + 7", "r + 12"], ["r", "k + 2", "k + 14"], ["k", "m + 18", "m + 32"], ["m", "h + 8", "h + 40"], ["h", 15, "55"]], "target_var_name": "w", "target_value": 55, "value_dict": {"h": 15}, "is_reverse": true}}
| 740
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = h + 8; w = c + 1; k = m + 18; c = p + 4; t = e + 2; e = h + 1; h = 15; y = g + 8; p = r + 7; r = k + 2; z = v + 2; v = y + 7; g = t + 14. If h = 15, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = p + 4 to w, which gives w = p + 5.\n2. Substitute p = r + 7 to w, which gives w = r + 12.\n3. Substitute r = k + 2 to w, which gives w = k + 14.\n4. Substitute k = m + 18 to w, which gives w = m + 32.\n5. Substitute m = h + 8 to w, which gives w = h + 40.\n6. Substitute h = 15 to w, which gives w = 55.\n\nThus, the final answer is w = \\boxed{55}.",
"index": 740,
"question": "Consider a system of variables where each variable is defined as follows: m = h + 8; w = c + 1; k = m + 18; c = p + 4; t = e + 2; e = h + 1; h = 15; y = g + 8; p = r + 7; r = k + 2; z = v + 2; v = y + 7; g = t + 14. If h = 15, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"v": "i + 20", "y": "v + 2", "h": "y + 18", "o": "h + 15", "f": "o + 1", "u": "f + 19", "q": "i + 10", "r": "q + 15", "w": "r + 3", "a": "w + 16", "e": "a + 14", "t": "e + 5", "i": 12}, "premises": {"i": 12}, "target": "u"}, "answer": {"steps": [["f", "o + 1", "o + 20"], ["o", "h + 15", "h + 35"], ["h", "y + 18", "y + 53"], ["y", "v + 2", "v + 55"], ["v", "i + 20", "i + 75"], ["i", 12, "87"]], "target_var_name": "u", "target_value": 87, "value_dict": {"i": 12}, "is_reverse": true}}
| 741
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = o + 1; e = a + 14; y = v + 2; t = e + 5; i = 12; o = h + 15; u = f + 19; q = i + 10; h = y + 18; a = w + 16; r = q + 15; w = r + 3; v = i + 20. Given that i = 12, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = o + 1 to u, which gives u = o + 20.\n2. Substitute o = h + 15 to u, which gives u = h + 35.\n3. Substitute h = y + 18 to u, which gives u = y + 53.\n4. Substitute y = v + 2 to u, which gives u = v + 55.\n5. Substitute v = i + 20 to u, which gives u = i + 75.\n6. Substitute i = 12 to u, which gives u = 87.\n\nThus, the final answer is u = \\boxed{87}.",
"index": 741,
"question": "Suppose a collection of variables is related by the following definitions: f = o + 1; e = a + 14; y = v + 2; t = e + 5; i = 12; o = h + 15; u = f + 19; q = i + 10; h = y + 18; a = w + 16; r = q + 15; w = r + 3; v = i + 20. Given that i = 12, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"n": "k + 7", "y": "n + 7", "g": "y + 19", "q": "g + 14", "h": "q + 6", "s": "h + 15", "a": "k + 9", "u": "a + 18", "d": "u + 4", "t": "d + 15", "i": "t + 15", "e": "i + 11", "k": 9}, "premises": {"k": 9}, "target": "s"}, "answer": {"steps": [["h", "q + 6", "q + 21"], ["q", "g + 14", "g + 35"], ["g", "y + 19", "y + 54"], ["y", "n + 7", "n + 61"], ["n", "k + 7", "k + 68"], ["k", 9, "77"]], "target_var_name": "s", "target_value": 77, "value_dict": {"k": 9}, "is_reverse": true}}
| 742
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = g + 14; e = i + 11; u = a + 18; a = k + 9; s = h + 15; k = 9; i = t + 15; g = y + 19; n = k + 7; h = q + 6; d = u + 4; y = n + 7; t = d + 15. Given that k = 9, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = q + 6 to s, which gives s = q + 21.\n2. Substitute q = g + 14 to s, which gives s = g + 35.\n3. Substitute g = y + 19 to s, which gives s = y + 54.\n4. Substitute y = n + 7 to s, which gives s = n + 61.\n5. Substitute n = k + 7 to s, which gives s = k + 68.\n6. Substitute k = 9 to s, which gives s = 77.\n\nThus, the final answer is s = \\boxed{77}.",
"index": 742,
"question": "Suppose a collection of variables is related by the following definitions: q = g + 14; e = i + 11; u = a + 18; a = k + 9; s = h + 15; k = 9; i = t + 15; g = y + 19; n = k + 7; h = q + 6; d = u + 4; y = n + 7; t = d + 15. Given that k = 9, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"s": "d + 5", "v": "s + 12", "e": "v + 18", "t": "e + 15", "l": "t + 15", "q": "l + 5", "w": "d + 12", "r": "w + 11", "y": "r + 11", "g": "y + 5", "x": "g + 15", "b": "x + 18", "d": 17}, "premises": {"d": 17}, "target": "q"}, "answer": {"steps": [["l", "t + 15", "t + 20"], ["t", "e + 15", "e + 35"], ["e", "v + 18", "v + 53"], ["v", "s + 12", "s + 65"], ["s", "d + 5", "d + 70"], ["d", 17, "87"]], "target_var_name": "q", "target_value": 87, "value_dict": {"d": 17}, "is_reverse": true}}
| 743
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = x + 18; e = v + 18; r = w + 11; d = 17; l = t + 15; x = g + 15; v = s + 12; y = r + 11; w = d + 12; q = l + 5; g = y + 5; t = e + 15; s = d + 5. Given that d = 17, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = t + 15 to q, which gives q = t + 20.\n2. Substitute t = e + 15 to q, which gives q = e + 35.\n3. Substitute e = v + 18 to q, which gives q = v + 53.\n4. Substitute v = s + 12 to q, which gives q = s + 65.\n5. Substitute s = d + 5 to q, which gives q = d + 70.\n6. Substitute d = 17 to q, which gives q = 87.\n\nThus, the final answer is q = \\boxed{87}.",
"index": 743,
"question": "Suppose a collection of variables is related by the following definitions: b = x + 18; e = v + 18; r = w + 11; d = 17; l = t + 15; x = g + 15; v = s + 12; y = r + 11; w = d + 12; q = l + 5; g = y + 5; t = e + 15; s = d + 5. Given that d = 17, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"j": "z + 20", "i": "j + 12", "g": "i + 18", "f": "g + 3", "w": "f + 15", "y": "w + 16", "k": "z + 17", "c": "k + 2", "x": "c + 9", "n": "x + 4", "r": "n + 1", "v": "r + 14", "z": 6}, "premises": {"z": 6}, "target": "y"}, "answer": {"steps": [["w", "f + 15", "f + 31"], ["f", "g + 3", "g + 34"], ["g", "i + 18", "i + 52"], ["i", "j + 12", "j + 64"], ["j", "z + 20", "z + 84"], ["z", 6, "90"]], "target_var_name": "y", "target_value": 90, "value_dict": {"z": 6}, "is_reverse": true}}
| 744
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = x + 4; z = 6; g = i + 18; k = z + 17; j = z + 20; w = f + 15; v = r + 14; y = w + 16; i = j + 12; f = g + 3; c = k + 2; x = c + 9; r = n + 1. If z = 6, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = f + 15 to y, which gives y = f + 31.\n2. Substitute f = g + 3 to y, which gives y = g + 34.\n3. Substitute g = i + 18 to y, which gives y = i + 52.\n4. Substitute i = j + 12 to y, which gives y = j + 64.\n5. Substitute j = z + 20 to y, which gives y = z + 84.\n6. Substitute z = 6 to y, which gives y = 90.\n\nThus, the final answer is y = \\boxed{90}.",
"index": 744,
"question": "Consider a system of variables where each variable is defined as follows: n = x + 4; z = 6; g = i + 18; k = z + 17; j = z + 20; w = f + 15; v = r + 14; y = w + 16; i = j + 12; f = g + 3; c = k + 2; x = c + 9; r = n + 1. If z = 6, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"o": "i + 10", "w": "o + 12", "f": "w + 4", "k": "f + 5", "s": "k + 20", "r": "s + 5", "d": "i + 1", "h": "d + 11", "j": "h + 16", "t": "j + 16", "c": "t + 17", "e": "c + 3", "i": 2}, "premises": {"i": 2}, "target": "r"}, "answer": {"steps": [["s", "k + 20", "k + 25"], ["k", "f + 5", "f + 30"], ["f", "w + 4", "w + 34"], ["w", "o + 12", "o + 46"], ["o", "i + 10", "i + 56"], ["i", 2, "58"]], "target_var_name": "r", "target_value": 58, "value_dict": {"i": 2}, "is_reverse": true}}
| 745
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = c + 3; o = i + 10; j = h + 16; d = i + 1; w = o + 12; t = j + 16; f = w + 4; k = f + 5; h = d + 11; r = s + 5; i = 2; s = k + 20; c = t + 17. If i = 2, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = k + 20 to r, which gives r = k + 25.\n2. Substitute k = f + 5 to r, which gives r = f + 30.\n3. Substitute f = w + 4 to r, which gives r = w + 34.\n4. Substitute w = o + 12 to r, which gives r = o + 46.\n5. Substitute o = i + 10 to r, which gives r = i + 56.\n6. Substitute i = 2 to r, which gives r = 58.\n\nThus, the final answer is r = \\boxed{58}.",
"index": 745,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = c + 3; o = i + 10; j = h + 16; d = i + 1; w = o + 12; t = j + 16; f = w + 4; k = f + 5; h = d + 11; r = s + 5; i = 2; s = k + 20; c = t + 17. If i = 2, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"x": "w + 6", "f": "x + 11", "a": "f + 6", "h": "a + 4", "z": "h + 20", "y": "z + 19", "m": "w + 16", "b": "m + 6", "g": "b + 3", "r": "g + 20", "v": "r + 13", "s": "v + 15", "w": 8}, "premises": {"w": 8}, "target": "y"}, "answer": {"steps": [["z", "h + 20", "h + 39"], ["h", "a + 4", "a + 43"], ["a", "f + 6", "f + 49"], ["f", "x + 11", "x + 60"], ["x", "w + 6", "w + 66"], ["w", 8, "74"]], "target_var_name": "y", "target_value": 74, "value_dict": {"w": 8}, "is_reverse": true}}
| 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: f = x + 11; w = 8; z = h + 20; r = g + 20; m = w + 16; y = z + 19; h = a + 4; s = v + 15; x = w + 6; b = m + 6; g = b + 3; v = r + 13; a = f + 6. If w = 8, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = h + 20 to y, which gives y = h + 39.\n2. Substitute h = a + 4 to y, which gives y = a + 43.\n3. Substitute a = f + 6 to y, which gives y = f + 49.\n4. Substitute f = x + 11 to y, which gives y = x + 60.\n5. Substitute x = w + 6 to y, which gives y = w + 66.\n6. Substitute w = 8 to y, which gives y = 74.\n\nThus, the final answer is y = \\boxed{74}.",
"index": 746,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = x + 11; w = 8; z = h + 20; r = g + 20; m = w + 16; y = z + 19; h = a + 4; s = v + 15; x = w + 6; b = m + 6; g = b + 3; v = r + 13; a = f + 6. If w = 8, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"i": "a + 2", "y": "i + 9", "m": "y + 13", "k": "m + 7", "t": "k + 3", "e": "t + 19", "v": "a + 5", "o": "v + 4", "q": "o + 10", "h": "q + 7", "r": "h + 4", "c": "r + 9", "a": 12}, "premises": {"a": 12}, "target": "e"}, "answer": {"steps": [["t", "k + 3", "k + 22"], ["k", "m + 7", "m + 29"], ["m", "y + 13", "y + 42"], ["y", "i + 9", "i + 51"], ["i", "a + 2", "a + 53"], ["a", 12, "65"]], "target_var_name": "e", "target_value": 65, "value_dict": {"a": 12}, "is_reverse": true}}
| 747
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = a + 2; r = h + 4; h = q + 7; o = v + 4; e = t + 19; m = y + 13; y = i + 9; v = a + 5; t = k + 3; a = 12; q = o + 10; c = r + 9; k = m + 7. If a = 12, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = k + 3 to e, which gives e = k + 22.\n2. Substitute k = m + 7 to e, which gives e = m + 29.\n3. Substitute m = y + 13 to e, which gives e = y + 42.\n4. Substitute y = i + 9 to e, which gives e = i + 51.\n5. Substitute i = a + 2 to e, which gives e = a + 53.\n6. Substitute a = 12 to e, which gives e = 65.\n\nThus, the final answer is e = \\boxed{65}.",
"index": 747,
"question": "Consider a system of variables where each variable is defined as follows: i = a + 2; r = h + 4; h = q + 7; o = v + 4; e = t + 19; m = y + 13; y = i + 9; v = a + 5; t = k + 3; a = 12; q = o + 10; c = r + 9; k = m + 7. If a = 12, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"k": "y + 9", "s": "k + 13", "a": "s + 5", "j": "a + 6", "b": "j + 19", "p": "b + 8", "l": "y + 2", "h": "l + 20", "i": "h + 7", "o": "i + 20", "t": "o + 10", "u": "t + 6", "y": 1}, "premises": {"y": 1}, "target": "p"}, "answer": {"steps": [["b", "j + 19", "j + 27"], ["j", "a + 6", "a + 33"], ["a", "s + 5", "s + 38"], ["s", "k + 13", "k + 51"], ["k", "y + 9", "y + 60"], ["y", 1, "61"]], "target_var_name": "p", "target_value": 61, "value_dict": {"y": 1}, "is_reverse": true}}
| 748
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = b + 8; l = y + 2; j = a + 6; u = t + 6; o = i + 20; a = s + 5; b = j + 19; h = l + 20; y = 1; s = k + 13; i = h + 7; t = o + 10; k = y + 9. If y = 1, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = j + 19 to p, which gives p = j + 27.\n2. Substitute j = a + 6 to p, which gives p = a + 33.\n3. Substitute a = s + 5 to p, which gives p = s + 38.\n4. Substitute s = k + 13 to p, which gives p = k + 51.\n5. Substitute k = y + 9 to p, which gives p = y + 60.\n6. Substitute y = 1 to p, which gives p = 61.\n\nThus, the final answer is p = \\boxed{61}.",
"index": 748,
"question": "Consider a system of variables where each variable is defined as follows: p = b + 8; l = y + 2; j = a + 6; u = t + 6; o = i + 20; a = s + 5; b = j + 19; h = l + 20; y = 1; s = k + 13; i = h + 7; t = o + 10; k = y + 9. If y = 1, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"m": "v + 19", "k": "m + 4", "l": "k + 9", "c": "l + 7", "f": "c + 4", "r": "f + 3", "n": "v + 4", "e": "n + 12", "p": "e + 5", "x": "p + 1", "w": "x + 9", "s": "w + 19", "v": 3}, "premises": {"v": 3}, "target": "r"}, "answer": {"steps": [["f", "c + 4", "c + 7"], ["c", "l + 7", "l + 14"], ["l", "k + 9", "k + 23"], ["k", "m + 4", "m + 27"], ["m", "v + 19", "v + 46"], ["v", 3, "49"]], "target_var_name": "r", "target_value": 49, "value_dict": {"v": 3}, "is_reverse": true}}
| 749
| 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 = k + 9; w = x + 9; v = 3; f = c + 4; k = m + 4; p = e + 5; n = v + 4; r = f + 3; c = l + 7; s = w + 19; m = v + 19; x = p + 1; e = n + 12. If v = 3, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = c + 4 to r, which gives r = c + 7.\n2. Substitute c = l + 7 to r, which gives r = l + 14.\n3. Substitute l = k + 9 to r, which gives r = k + 23.\n4. Substitute k = m + 4 to r, which gives r = m + 27.\n5. Substitute m = v + 19 to r, which gives r = v + 46.\n6. Substitute v = 3 to r, which gives r = 49.\n\nThus, the final answer is r = \\boxed{49}.",
"index": 749,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = k + 9; w = x + 9; v = 3; f = c + 4; k = m + 4; p = e + 5; n = v + 4; r = f + 3; c = l + 7; s = w + 19; m = v + 19; x = p + 1; e = n + 12. If v = 3, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"y": "l + 8", "f": "y + 6", "r": "f + 4", "h": "r + 8", "k": "h + 10", "s": "k + 8", "u": "l + 4", "i": "u + 8", "a": "i + 1", "x": "a + 17", "g": "x + 10", "c": "g + 17", "l": 14}, "premises": {"l": 14}, "target": "s"}, "answer": {"steps": [["k", "h + 10", "h + 18"], ["h", "r + 8", "r + 26"], ["r", "f + 4", "f + 30"], ["f", "y + 6", "y + 36"], ["y", "l + 8", "l + 44"], ["l", 14, "58"]], "target_var_name": "s", "target_value": 58, "value_dict": {"l": 14}, "is_reverse": true}}
| 750
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = h + 10; i = u + 8; a = i + 1; h = r + 8; l = 14; r = f + 4; u = l + 4; c = g + 17; s = k + 8; y = l + 8; g = x + 10; x = a + 17; f = y + 6. If l = 14, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = h + 10 to s, which gives s = h + 18.\n2. Substitute h = r + 8 to s, which gives s = r + 26.\n3. Substitute r = f + 4 to s, which gives s = f + 30.\n4. Substitute f = y + 6 to s, which gives s = y + 36.\n5. Substitute y = l + 8 to s, which gives s = l + 44.\n6. Substitute l = 14 to s, which gives s = 58.\n\nThus, the final answer is s = \\boxed{58}.",
"index": 750,
"question": "Consider a system of variables where each variable is defined as follows: k = h + 10; i = u + 8; a = i + 1; h = r + 8; l = 14; r = f + 4; u = l + 4; c = g + 17; s = k + 8; y = l + 8; g = x + 10; x = a + 17; f = y + 6. If l = 14, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"l": "f + 7", "v": "l + 10", "w": "v + 2", "s": "w + 20", "c": "s + 20", "j": "c + 16", "k": "f + 4", "d": "k + 17", "r": "d + 4", "n": "r + 9", "i": "n + 1", "a": "i + 15", "f": 19}, "premises": {"f": 19}, "target": "j"}, "answer": {"steps": [["c", "s + 20", "s + 36"], ["s", "w + 20", "w + 56"], ["w", "v + 2", "v + 58"], ["v", "l + 10", "l + 68"], ["l", "f + 7", "f + 75"], ["f", 19, "94"]], "target_var_name": "j", "target_value": 94, "value_dict": {"f": 19}, "is_reverse": true}}
| 751
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = 19; a = i + 15; n = r + 9; v = l + 10; j = c + 16; w = v + 2; l = f + 7; d = k + 17; r = d + 4; c = s + 20; s = w + 20; i = n + 1; k = f + 4. If f = 19, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = s + 20 to j, which gives j = s + 36.\n2. Substitute s = w + 20 to j, which gives j = w + 56.\n3. Substitute w = v + 2 to j, which gives j = v + 58.\n4. Substitute v = l + 10 to j, which gives j = l + 68.\n5. Substitute l = f + 7 to j, which gives j = f + 75.\n6. Substitute f = 19 to j, which gives j = 94.\n\nThus, the final answer is j = \\boxed{94}.",
"index": 751,
"question": "Consider a system of variables where each variable is defined as follows: f = 19; a = i + 15; n = r + 9; v = l + 10; j = c + 16; w = v + 2; l = f + 7; d = k + 17; r = d + 4; c = s + 20; s = w + 20; i = n + 1; k = f + 4. If f = 19, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"m": "y + 9", "f": "m + 20", "g": "f + 12", "a": "g + 13", "d": "a + 5", "w": "d + 2", "b": "y + 4", "v": "b + 2", "o": "v + 11", "x": "o + 7", "n": "x + 10", "z": "n + 18", "y": 16}, "premises": {"y": 16}, "target": "w"}, "answer": {"steps": [["d", "a + 5", "a + 7"], ["a", "g + 13", "g + 20"], ["g", "f + 12", "f + 32"], ["f", "m + 20", "m + 52"], ["m", "y + 9", "y + 61"], ["y", 16, "77"]], "target_var_name": "w", "target_value": 77, "value_dict": {"y": 16}, "is_reverse": true}}
| 752
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = y + 4; x = o + 7; w = d + 2; g = f + 12; y = 16; a = g + 13; z = n + 18; o = v + 11; f = m + 20; v = b + 2; n = x + 10; m = y + 9; d = a + 5. If y = 16, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = a + 5 to w, which gives w = a + 7.\n2. Substitute a = g + 13 to w, which gives w = g + 20.\n3. Substitute g = f + 12 to w, which gives w = f + 32.\n4. Substitute f = m + 20 to w, which gives w = m + 52.\n5. Substitute m = y + 9 to w, which gives w = y + 61.\n6. Substitute y = 16 to w, which gives w = 77.\n\nThus, the final answer is w = \\boxed{77}.",
"index": 752,
"question": "Consider a system of variables where each variable is defined as follows: b = y + 4; x = o + 7; w = d + 2; g = f + 12; y = 16; a = g + 13; z = n + 18; o = v + 11; f = m + 20; v = b + 2; n = x + 10; m = y + 9; d = a + 5. If y = 16, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"w": "r + 11", "l": "w + 5", "z": "l + 14", "d": "z + 1", "x": "d + 7", "a": "x + 18", "b": "r + 15", "j": "b + 16", "n": "j + 17", "s": "n + 17", "c": "s + 14", "g": "c + 16", "r": 9}, "premises": {"r": 9}, "target": "a"}, "answer": {"steps": [["x", "d + 7", "d + 25"], ["d", "z + 1", "z + 26"], ["z", "l + 14", "l + 40"], ["l", "w + 5", "w + 45"], ["w", "r + 11", "r + 56"], ["r", 9, "65"]], "target_var_name": "a", "target_value": 65, "value_dict": {"r": 9}, "is_reverse": true}}
| 753
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = c + 16; z = l + 14; c = s + 14; d = z + 1; n = j + 17; s = n + 17; j = b + 16; r = 9; w = r + 11; b = r + 15; x = d + 7; a = x + 18; l = w + 5. If r = 9, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = d + 7 to a, which gives a = d + 25.\n2. Substitute d = z + 1 to a, which gives a = z + 26.\n3. Substitute z = l + 14 to a, which gives a = l + 40.\n4. Substitute l = w + 5 to a, which gives a = w + 45.\n5. Substitute w = r + 11 to a, which gives a = r + 56.\n6. Substitute r = 9 to a, which gives a = 65.\n\nThus, the final answer is a = \\boxed{65}.",
"index": 753,
"question": "Consider a system of variables where each variable is defined as follows: g = c + 16; z = l + 14; c = s + 14; d = z + 1; n = j + 17; s = n + 17; j = b + 16; r = 9; w = r + 11; b = r + 15; x = d + 7; a = x + 18; l = w + 5. If r = 9, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"d": "j + 3", "t": "d + 13", "m": "t + 2", "g": "m + 8", "l": "g + 6", "k": "l + 18", "p": "j + 2", "y": "p + 14", "u": "y + 12", "q": "u + 2", "h": "q + 16", "b": "h + 8", "j": 13}, "premises": {"j": 13}, "target": "k"}, "answer": {"steps": [["l", "g + 6", "g + 24"], ["g", "m + 8", "m + 32"], ["m", "t + 2", "t + 34"], ["t", "d + 13", "d + 47"], ["d", "j + 3", "j + 50"], ["j", 13, "63"]], "target_var_name": "k", "target_value": 63, "value_dict": {"j": 13}, "is_reverse": true}}
| 754
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = g + 6; k = l + 18; m = t + 2; g = m + 8; h = q + 16; j = 13; q = u + 2; b = h + 8; t = d + 13; p = j + 2; u = y + 12; y = p + 14; d = j + 3. If j = 13, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = g + 6 to k, which gives k = g + 24.\n2. Substitute g = m + 8 to k, which gives k = m + 32.\n3. Substitute m = t + 2 to k, which gives k = t + 34.\n4. Substitute t = d + 13 to k, which gives k = d + 47.\n5. Substitute d = j + 3 to k, which gives k = j + 50.\n6. Substitute j = 13 to k, which gives k = 63.\n\nThus, the final answer is k = \\boxed{63}.",
"index": 754,
"question": "Consider a system of variables where each variable is defined as follows: l = g + 6; k = l + 18; m = t + 2; g = m + 8; h = q + 16; j = 13; q = u + 2; b = h + 8; t = d + 13; p = j + 2; u = y + 12; y = p + 14; d = j + 3. If j = 13, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"w": "m + 13", "e": "w + 13", "v": "e + 6", "h": "v + 16", "d": "h + 8", "l": "d + 9", "q": "m + 4", "i": "q + 9", "o": "i + 14", "r": "o + 14", "s": "r + 16", "z": "s + 5", "m": 11}, "premises": {"m": 11}, "target": "l"}, "answer": {"steps": [["d", "h + 8", "h + 17"], ["h", "v + 16", "v + 33"], ["v", "e + 6", "e + 39"], ["e", "w + 13", "w + 52"], ["w", "m + 13", "m + 65"], ["m", 11, "76"]], "target_var_name": "l", "target_value": 76, "value_dict": {"m": 11}, "is_reverse": true}}
| 755
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = 11; r = o + 14; i = q + 9; e = w + 13; z = s + 5; q = m + 4; l = d + 9; d = h + 8; s = r + 16; w = m + 13; o = i + 14; h = v + 16; v = e + 6. If m = 11, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = h + 8 to l, which gives l = h + 17.\n2. Substitute h = v + 16 to l, which gives l = v + 33.\n3. Substitute v = e + 6 to l, which gives l = e + 39.\n4. Substitute e = w + 13 to l, which gives l = w + 52.\n5. Substitute w = m + 13 to l, which gives l = m + 65.\n6. Substitute m = 11 to l, which gives l = 76.\n\nThus, the final answer is l = \\boxed{76}.",
"index": 755,
"question": "Consider a system of variables where each variable is defined as follows: m = 11; r = o + 14; i = q + 9; e = w + 13; z = s + 5; q = m + 4; l = d + 9; d = h + 8; s = r + 16; w = m + 13; o = i + 14; h = v + 16; v = e + 6. If m = 11, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"z": "t + 6", "u": "z + 10", "i": "u + 2", "h": "i + 12", "x": "h + 15", "v": "x + 6", "o": "t + 16", "n": "o + 4", "q": "n + 18", "y": "q + 17", "s": "y + 4", "p": "s + 10", "t": 13}, "premises": {"t": 13}, "target": "v"}, "answer": {"steps": [["x", "h + 15", "h + 21"], ["h", "i + 12", "i + 33"], ["i", "u + 2", "u + 35"], ["u", "z + 10", "z + 45"], ["z", "t + 6", "t + 51"], ["t", 13, "64"]], "target_var_name": "v", "target_value": 64, "value_dict": {"t": 13}, "is_reverse": true}}
| 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: n = o + 4; h = i + 12; i = u + 2; u = z + 10; t = 13; p = s + 10; y = q + 17; q = n + 18; v = x + 6; z = t + 6; x = h + 15; o = t + 16; s = y + 4. If t = 13, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = h + 15 to v, which gives v = h + 21.\n2. Substitute h = i + 12 to v, which gives v = i + 33.\n3. Substitute i = u + 2 to v, which gives v = u + 35.\n4. Substitute u = z + 10 to v, which gives v = z + 45.\n5. Substitute z = t + 6 to v, which gives v = t + 51.\n6. Substitute t = 13 to v, which gives v = 64.\n\nThus, the final answer is v = \\boxed{64}.",
"index": 756,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = o + 4; h = i + 12; i = u + 2; u = z + 10; t = 13; p = s + 10; y = q + 17; q = n + 18; v = x + 6; z = t + 6; x = h + 15; o = t + 16; s = y + 4. If t = 13, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"t": "x + 15", "a": "t + 12", "o": "a + 19", "b": "o + 11", "j": "b + 7", "m": "j + 15", "c": "x + 8", "f": "c + 8", "n": "f + 7", "q": "n + 16", "e": "q + 7", "k": "e + 17", "x": 20}, "premises": {"x": 20}, "target": "m"}, "answer": {"steps": [["j", "b + 7", "b + 22"], ["b", "o + 11", "o + 33"], ["o", "a + 19", "a + 52"], ["a", "t + 12", "t + 64"], ["t", "x + 15", "x + 79"], ["x", 20, "99"]], "target_var_name": "m", "target_value": 99, "value_dict": {"x": 20}, "is_reverse": true}}
| 757
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = a + 19; x = 20; q = n + 16; k = e + 17; e = q + 7; b = o + 11; m = j + 15; a = t + 12; t = x + 15; f = c + 8; j = b + 7; n = f + 7; c = x + 8. If x = 20, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 99,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = b + 7 to m, which gives m = b + 22.\n2. Substitute b = o + 11 to m, which gives m = o + 33.\n3. Substitute o = a + 19 to m, which gives m = a + 52.\n4. Substitute a = t + 12 to m, which gives m = t + 64.\n5. Substitute t = x + 15 to m, which gives m = x + 79.\n6. Substitute x = 20 to m, which gives m = 99.\n\nThus, the final answer is m = \\boxed{99}.",
"index": 757,
"question": "Consider a system of variables where each variable is defined as follows: o = a + 19; x = 20; q = n + 16; k = e + 17; e = q + 7; b = o + 11; m = j + 15; a = t + 12; t = x + 15; f = c + 8; j = b + 7; n = f + 7; c = x + 8. If x = 20, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"c": "p + 16", "r": "c + 3", "a": "r + 13", "s": "a + 11", "w": "s + 12", "o": "w + 5", "z": "p + 20", "u": "z + 18", "j": "u + 12", "e": "j + 2", "g": "e + 12", "k": "g + 18", "p": 19}, "premises": {"p": 19}, "target": "o"}, "answer": {"steps": [["w", "s + 12", "s + 17"], ["s", "a + 11", "a + 28"], ["a", "r + 13", "r + 41"], ["r", "c + 3", "c + 44"], ["c", "p + 16", "p + 60"], ["p", 19, "79"]], "target_var_name": "o", "target_value": 79, "value_dict": {"p": 19}, "is_reverse": true}}
| 758
| 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 = s + 12; p = 19; u = z + 18; g = e + 12; r = c + 3; k = g + 18; a = r + 13; c = p + 16; o = w + 5; e = j + 2; z = p + 20; s = a + 11; j = u + 12. If p = 19, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = s + 12 to o, which gives o = s + 17.\n2. Substitute s = a + 11 to o, which gives o = a + 28.\n3. Substitute a = r + 13 to o, which gives o = r + 41.\n4. Substitute r = c + 3 to o, which gives o = c + 44.\n5. Substitute c = p + 16 to o, which gives o = p + 60.\n6. Substitute p = 19 to o, which gives o = 79.\n\nThus, the final answer is o = \\boxed{79}.",
"index": 758,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = s + 12; p = 19; u = z + 18; g = e + 12; r = c + 3; k = g + 18; a = r + 13; c = p + 16; o = w + 5; e = j + 2; z = p + 20; s = a + 11; j = u + 12. If p = 19, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"t": "d + 3", "x": "t + 19", "b": "x + 14", "h": "b + 18", "e": "h + 17", "l": "e + 8", "y": "d + 4", "s": "y + 9", "r": "s + 5", "n": "r + 19", "w": "n + 15", "u": "w + 20", "d": 20}, "premises": {"d": 20}, "target": "l"}, "answer": {"steps": [["e", "h + 17", "h + 25"], ["h", "b + 18", "b + 43"], ["b", "x + 14", "x + 57"], ["x", "t + 19", "t + 76"], ["t", "d + 3", "d + 79"], ["d", 20, "99"]], "target_var_name": "l", "target_value": 99, "value_dict": {"d": 20}, "is_reverse": true}}
| 759
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = y + 9; w = n + 15; x = t + 19; n = r + 19; r = s + 5; l = e + 8; h = b + 18; e = h + 17; u = w + 20; y = d + 4; d = 20; t = d + 3; b = x + 14. Given that d = 20, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 99,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = h + 17 to l, which gives l = h + 25.\n2. Substitute h = b + 18 to l, which gives l = b + 43.\n3. Substitute b = x + 14 to l, which gives l = x + 57.\n4. Substitute x = t + 19 to l, which gives l = t + 76.\n5. Substitute t = d + 3 to l, which gives l = d + 79.\n6. Substitute d = 20 to l, which gives l = 99.\n\nThus, the final answer is l = \\boxed{99}.",
"index": 759,
"question": "Suppose a collection of variables is related by the following definitions: s = y + 9; w = n + 15; x = t + 19; n = r + 19; r = s + 5; l = e + 8; h = b + 18; e = h + 17; u = w + 20; y = d + 4; d = 20; t = d + 3; b = x + 14. Given that d = 20, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"g": "j + 13", "c": "g + 9", "k": "c + 20", "h": "k + 16", "p": "h + 1", "b": "p + 15", "r": "j + 11", "l": "r + 18", "n": "l + 9", "x": "n + 5", "a": "x + 18", "o": "a + 2", "j": 15}, "premises": {"j": 15}, "target": "b"}, "answer": {"steps": [["p", "h + 1", "h + 16"], ["h", "k + 16", "k + 32"], ["k", "c + 20", "c + 52"], ["c", "g + 9", "g + 61"], ["g", "j + 13", "j + 74"], ["j", 15, "89"]], "target_var_name": "b", "target_value": 89, "value_dict": {"j": 15}, "is_reverse": true}}
| 760
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = h + 1; g = j + 13; h = k + 16; k = c + 20; a = x + 18; j = 15; o = a + 2; n = l + 9; r = j + 11; l = r + 18; x = n + 5; b = p + 15; c = g + 9. If j = 15, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = h + 1 to b, which gives b = h + 16.\n2. Substitute h = k + 16 to b, which gives b = k + 32.\n3. Substitute k = c + 20 to b, which gives b = c + 52.\n4. Substitute c = g + 9 to b, which gives b = g + 61.\n5. Substitute g = j + 13 to b, which gives b = j + 74.\n6. Substitute j = 15 to b, which gives b = 89.\n\nThus, the final answer is b = \\boxed{89}.",
"index": 760,
"question": "Consider a system of variables where each variable is defined as follows: p = h + 1; g = j + 13; h = k + 16; k = c + 20; a = x + 18; j = 15; o = a + 2; n = l + 9; r = j + 11; l = r + 18; x = n + 5; b = p + 15; c = g + 9. If j = 15, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"d": "t + 3", "c": "d + 3", "s": "c + 13", "m": "s + 2", "f": "m + 18", "a": "f + 6", "l": "t + 4", "v": "l + 12", "j": "v + 14", "r": "j + 2", "n": "r + 3", "b": "n + 19", "t": 9}, "premises": {"t": 9}, "target": "a"}, "answer": {"steps": [["f", "m + 18", "m + 24"], ["m", "s + 2", "s + 26"], ["s", "c + 13", "c + 39"], ["c", "d + 3", "d + 42"], ["d", "t + 3", "t + 45"], ["t", 9, "54"]], "target_var_name": "a", "target_value": 54, "value_dict": {"t": 9}, "is_reverse": true}}
| 761
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = l + 12; b = n + 19; a = f + 6; l = t + 4; t = 9; c = d + 3; m = s + 2; f = m + 18; n = r + 3; r = j + 2; s = c + 13; j = v + 14; d = t + 3. If t = 9, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = m + 18 to a, which gives a = m + 24.\n2. Substitute m = s + 2 to a, which gives a = s + 26.\n3. Substitute s = c + 13 to a, which gives a = c + 39.\n4. Substitute c = d + 3 to a, which gives a = d + 42.\n5. Substitute d = t + 3 to a, which gives a = t + 45.\n6. Substitute t = 9 to a, which gives a = 54.\n\nThus, the final answer is a = \\boxed{54}.",
"index": 761,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = l + 12; b = n + 19; a = f + 6; l = t + 4; t = 9; c = d + 3; m = s + 2; f = m + 18; n = r + 3; r = j + 2; s = c + 13; j = v + 14; d = t + 3. If t = 9, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"z": "o + 19", "v": "z + 2", "q": "v + 14", "d": "q + 14", "f": "d + 19", "a": "f + 12", "i": "o + 20", "c": "i + 20", "u": "c + 14", "s": "u + 8", "e": "s + 1", "p": "e + 3", "o": 6}, "premises": {"o": 6}, "target": "a"}, "answer": {"steps": [["f", "d + 19", "d + 31"], ["d", "q + 14", "q + 45"], ["q", "v + 14", "v + 59"], ["v", "z + 2", "z + 61"], ["z", "o + 19", "o + 80"], ["o", 6, "86"]], "target_var_name": "a", "target_value": 86, "value_dict": {"o": 6}, "is_reverse": true}}
| 762
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = f + 12; e = s + 1; p = e + 3; s = u + 8; q = v + 14; u = c + 14; o = 6; v = z + 2; f = d + 19; z = o + 19; i = o + 20; c = i + 20; d = q + 14. If o = 6, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = d + 19 to a, which gives a = d + 31.\n2. Substitute d = q + 14 to a, which gives a = q + 45.\n3. Substitute q = v + 14 to a, which gives a = v + 59.\n4. Substitute v = z + 2 to a, which gives a = z + 61.\n5. Substitute z = o + 19 to a, which gives a = o + 80.\n6. Substitute o = 6 to a, which gives a = 86.\n\nThus, the final answer is a = \\boxed{86}.",
"index": 762,
"question": "Consider a system of variables where each variable is defined as follows: a = f + 12; e = s + 1; p = e + 3; s = u + 8; q = v + 14; u = c + 14; o = 6; v = z + 2; f = d + 19; z = o + 19; i = o + 20; c = i + 20; d = q + 14. If o = 6, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"s": "k + 6", "n": "s + 11", "p": "n + 19", "f": "p + 20", "b": "f + 17", "l": "b + 6", "h": "k + 3", "e": "h + 20", "w": "e + 5", "j": "w + 10", "a": "j + 10", "q": "a + 1", "k": 6}, "premises": {"k": 6}, "target": "l"}, "answer": {"steps": [["b", "f + 17", "f + 23"], ["f", "p + 20", "p + 43"], ["p", "n + 19", "n + 62"], ["n", "s + 11", "s + 73"], ["s", "k + 6", "k + 79"], ["k", 6, "85"]], "target_var_name": "l", "target_value": 85, "value_dict": {"k": 6}, "is_reverse": true}}
| 763
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = f + 17; f = p + 20; s = k + 6; n = s + 11; j = w + 10; l = b + 6; p = n + 19; k = 6; a = j + 10; h = k + 3; e = h + 20; q = a + 1; w = e + 5. If k = 6, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = f + 17 to l, which gives l = f + 23.\n2. Substitute f = p + 20 to l, which gives l = p + 43.\n3. Substitute p = n + 19 to l, which gives l = n + 62.\n4. Substitute n = s + 11 to l, which gives l = s + 73.\n5. Substitute s = k + 6 to l, which gives l = k + 79.\n6. Substitute k = 6 to l, which gives l = 85.\n\nThus, the final answer is l = \\boxed{85}.",
"index": 763,
"question": "Consider a system of variables where each variable is defined as follows: b = f + 17; f = p + 20; s = k + 6; n = s + 11; j = w + 10; l = b + 6; p = n + 19; k = 6; a = j + 10; h = k + 3; e = h + 20; q = a + 1; w = e + 5. If k = 6, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"f": "s + 7", "e": "f + 20", "h": "e + 17", "x": "h + 2", "z": "x + 13", "o": "z + 12", "b": "s + 8", "w": "b + 20", "l": "w + 5", "q": "l + 3", "y": "q + 9", "m": "y + 12", "s": 13}, "premises": {"s": 13}, "target": "o"}, "answer": {"steps": [["z", "x + 13", "x + 25"], ["x", "h + 2", "h + 27"], ["h", "e + 17", "e + 44"], ["e", "f + 20", "f + 64"], ["f", "s + 7", "s + 71"], ["s", 13, "84"]], "target_var_name": "o", "target_value": 84, "value_dict": {"s": 13}, "is_reverse": true}}
| 764
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = 13; m = y + 12; b = s + 8; h = e + 17; o = z + 12; q = l + 3; f = s + 7; w = b + 20; x = h + 2; e = f + 20; z = x + 13; y = q + 9; l = w + 5. Given that s = 13, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = x + 13 to o, which gives o = x + 25.\n2. Substitute x = h + 2 to o, which gives o = h + 27.\n3. Substitute h = e + 17 to o, which gives o = e + 44.\n4. Substitute e = f + 20 to o, which gives o = f + 64.\n5. Substitute f = s + 7 to o, which gives o = s + 71.\n6. Substitute s = 13 to o, which gives o = 84.\n\nThus, the final answer is o = \\boxed{84}.",
"index": 764,
"question": "Suppose a collection of variables is related by the following definitions: s = 13; m = y + 12; b = s + 8; h = e + 17; o = z + 12; q = l + 3; f = s + 7; w = b + 20; x = h + 2; e = f + 20; z = x + 13; y = q + 9; l = w + 5. Given that s = 13, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"g": "f + 19", "o": "g + 8", "b": "o + 8", "e": "b + 4", "s": "e + 11", "d": "s + 11", "j": "f + 3", "v": "j + 17", "n": "v + 4", "p": "n + 20", "y": "p + 19", "x": "y + 1", "f": 16}, "premises": {"f": 16}, "target": "d"}, "answer": {"steps": [["s", "e + 11", "e + 22"], ["e", "b + 4", "b + 26"], ["b", "o + 8", "o + 34"], ["o", "g + 8", "g + 42"], ["g", "f + 19", "f + 61"], ["f", 16, "77"]], "target_var_name": "d", "target_value": 77, "value_dict": {"f": 16}, "is_reverse": true}}
| 765
| 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 = p + 19; s = e + 11; f = 16; e = b + 4; g = f + 19; j = f + 3; d = s + 11; p = n + 20; b = o + 8; n = v + 4; o = g + 8; x = y + 1; v = j + 17. If f = 16, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = e + 11 to d, which gives d = e + 22.\n2. Substitute e = b + 4 to d, which gives d = b + 26.\n3. Substitute b = o + 8 to d, which gives d = o + 34.\n4. Substitute o = g + 8 to d, which gives d = g + 42.\n5. Substitute g = f + 19 to d, which gives d = f + 61.\n6. Substitute f = 16 to d, which gives d = 77.\n\nThus, the final answer is d = \\boxed{77}.",
"index": 765,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = p + 19; s = e + 11; f = 16; e = b + 4; g = f + 19; j = f + 3; d = s + 11; p = n + 20; b = o + 8; n = v + 4; o = g + 8; x = y + 1; v = j + 17. If f = 16, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"i": "f + 6", "a": "i + 18", "e": "a + 14", "t": "e + 19", "v": "t + 3", "k": "v + 11", "g": "f + 4", "m": "g + 17", "u": "m + 17", "r": "u + 9", "d": "r + 1", "n": "d + 14", "f": 2}, "premises": {"f": 2}, "target": "k"}, "answer": {"steps": [["v", "t + 3", "t + 14"], ["t", "e + 19", "e + 33"], ["e", "a + 14", "a + 47"], ["a", "i + 18", "i + 65"], ["i", "f + 6", "f + 71"], ["f", 2, "73"]], "target_var_name": "k", "target_value": 73, "value_dict": {"f": 2}, "is_reverse": true}}
| 766
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = t + 3; m = g + 17; k = v + 11; r = u + 9; u = m + 17; n = d + 14; a = i + 18; e = a + 14; t = e + 19; i = f + 6; f = 2; g = f + 4; d = r + 1. If f = 2, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = t + 3 to k, which gives k = t + 14.\n2. Substitute t = e + 19 to k, which gives k = e + 33.\n3. Substitute e = a + 14 to k, which gives k = a + 47.\n4. Substitute a = i + 18 to k, which gives k = i + 65.\n5. Substitute i = f + 6 to k, which gives k = f + 71.\n6. Substitute f = 2 to k, which gives k = 73.\n\nThus, the final answer is k = \\boxed{73}.",
"index": 766,
"question": "Consider a system of variables where each variable is defined as follows: v = t + 3; m = g + 17; k = v + 11; r = u + 9; u = m + 17; n = d + 14; a = i + 18; e = a + 14; t = e + 19; i = f + 6; f = 2; g = f + 4; d = r + 1. If f = 2, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"h": "b + 9", "x": "h + 18", "e": "x + 1", "l": "e + 18", "y": "l + 13", "u": "y + 20", "a": "b + 6", "j": "a + 16", "i": "j + 6", "n": "i + 13", "d": "n + 8", "s": "d + 1", "b": 7}, "premises": {"b": 7}, "target": "u"}, "answer": {"steps": [["y", "l + 13", "l + 33"], ["l", "e + 18", "e + 51"], ["e", "x + 1", "x + 52"], ["x", "h + 18", "h + 70"], ["h", "b + 9", "b + 79"], ["b", 7, "86"]], "target_var_name": "u", "target_value": 86, "value_dict": {"b": 7}, "is_reverse": true}}
| 767
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = 7; h = b + 9; d = n + 8; j = a + 16; n = i + 13; i = j + 6; l = e + 18; u = y + 20; e = x + 1; a = b + 6; y = l + 13; s = d + 1; x = h + 18. If b = 7, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = l + 13 to u, which gives u = l + 33.\n2. Substitute l = e + 18 to u, which gives u = e + 51.\n3. Substitute e = x + 1 to u, which gives u = x + 52.\n4. Substitute x = h + 18 to u, which gives u = h + 70.\n5. Substitute h = b + 9 to u, which gives u = b + 79.\n6. Substitute b = 7 to u, which gives u = 86.\n\nThus, the final answer is u = \\boxed{86}.",
"index": 767,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = 7; h = b + 9; d = n + 8; j = a + 16; n = i + 13; i = j + 6; l = e + 18; u = y + 20; e = x + 1; a = b + 6; y = l + 13; s = d + 1; x = h + 18. If b = 7, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"w": "x + 2", "f": "w + 4", "z": "f + 10", "q": "z + 17", "p": "q + 13", "y": "p + 15", "l": "x + 11", "s": "l + 10", "u": "s + 12", "o": "u + 12", "d": "o + 11", "j": "d + 8", "x": 18}, "premises": {"x": 18}, "target": "y"}, "answer": {"steps": [["p", "q + 13", "q + 28"], ["q", "z + 17", "z + 45"], ["z", "f + 10", "f + 55"], ["f", "w + 4", "w + 59"], ["w", "x + 2", "x + 61"], ["x", 18, "79"]], "target_var_name": "y", "target_value": 79, "value_dict": {"x": 18}, "is_reverse": true}}
| 768
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = s + 12; l = x + 11; o = u + 12; x = 18; q = z + 17; w = x + 2; y = p + 15; j = d + 8; p = q + 13; f = w + 4; z = f + 10; d = o + 11; s = l + 10. If x = 18, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = q + 13 to y, which gives y = q + 28.\n2. Substitute q = z + 17 to y, which gives y = z + 45.\n3. Substitute z = f + 10 to y, which gives y = f + 55.\n4. Substitute f = w + 4 to y, which gives y = w + 59.\n5. Substitute w = x + 2 to y, which gives y = x + 61.\n6. Substitute x = 18 to y, which gives y = 79.\n\nThus, the final answer is y = \\boxed{79}.",
"index": 768,
"question": "Consider a system of variables where each variable is defined as follows: u = s + 12; l = x + 11; o = u + 12; x = 18; q = z + 17; w = x + 2; y = p + 15; j = d + 8; p = q + 13; f = w + 4; z = f + 10; d = o + 11; s = l + 10. If x = 18, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"m": "w + 17", "v": "m + 4", "c": "v + 15", "b": "c + 2", "s": "b + 19", "k": "s + 11", "x": "w + 4", "y": "x + 3", "g": "y + 18", "j": "g + 9", "u": "j + 2", "z": "u + 15", "w": 17}, "premises": {"w": 17}, "target": "k"}, "answer": {"steps": [["s", "b + 19", "b + 30"], ["b", "c + 2", "c + 32"], ["c", "v + 15", "v + 47"], ["v", "m + 4", "m + 51"], ["m", "w + 17", "w + 68"], ["w", 17, "85"]], "target_var_name": "k", "target_value": 85, "value_dict": {"w": 17}, "is_reverse": true}}
| 769
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = w + 17; y = x + 3; c = v + 15; u = j + 2; s = b + 19; g = y + 18; k = s + 11; b = c + 2; v = m + 4; j = g + 9; w = 17; z = u + 15; x = w + 4. Given that w = 17, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = b + 19 to k, which gives k = b + 30.\n2. Substitute b = c + 2 to k, which gives k = c + 32.\n3. Substitute c = v + 15 to k, which gives k = v + 47.\n4. Substitute v = m + 4 to k, which gives k = m + 51.\n5. Substitute m = w + 17 to k, which gives k = w + 68.\n6. Substitute w = 17 to k, which gives k = 85.\n\nThus, the final answer is k = \\boxed{85}.",
"index": 769,
"question": "Suppose a collection of variables is related by the following definitions: m = w + 17; y = x + 3; c = v + 15; u = j + 2; s = b + 19; g = y + 18; k = s + 11; b = c + 2; v = m + 4; j = g + 9; w = 17; z = u + 15; x = w + 4. Given that w = 17, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"l": "v + 11", "d": "l + 2", "m": "d + 4", "o": "m + 20", "r": "o + 6", "z": "r + 3", "i": "v + 19", "n": "i + 8", "e": "n + 5", "q": "e + 16", "w": "q + 18", "a": "w + 11", "v": 13}, "premises": {"v": 13}, "target": "z"}, "answer": {"steps": [["r", "o + 6", "o + 9"], ["o", "m + 20", "m + 29"], ["m", "d + 4", "d + 33"], ["d", "l + 2", "l + 35"], ["l", "v + 11", "v + 46"], ["v", 13, "59"]], "target_var_name": "z", "target_value": 59, "value_dict": {"v": 13}, "is_reverse": true}}
| 770
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = w + 11; q = e + 16; o = m + 20; v = 13; i = v + 19; z = r + 3; r = o + 6; m = d + 4; e = n + 5; n = i + 8; d = l + 2; l = v + 11; w = q + 18. Given that v = 13, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = o + 6 to z, which gives z = o + 9.\n2. Substitute o = m + 20 to z, which gives z = m + 29.\n3. Substitute m = d + 4 to z, which gives z = d + 33.\n4. Substitute d = l + 2 to z, which gives z = l + 35.\n5. Substitute l = v + 11 to z, which gives z = v + 46.\n6. Substitute v = 13 to z, which gives z = 59.\n\nThus, the final answer is z = \\boxed{59}.",
"index": 770,
"question": "Suppose a collection of variables is related by the following definitions: a = w + 11; q = e + 16; o = m + 20; v = 13; i = v + 19; z = r + 3; r = o + 6; m = d + 4; e = n + 5; n = i + 8; d = l + 2; l = v + 11; w = q + 18. Given that v = 13, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"y": "a + 17", "t": "y + 14", "r": "t + 15", "o": "r + 9", "h": "o + 8", "s": "h + 6", "z": "a + 4", "m": "z + 16", "u": "m + 3", "g": "u + 18", "f": "g + 3", "n": "f + 17", "a": 9}, "premises": {"a": 9}, "target": "s"}, "answer": {"steps": [["h", "o + 8", "o + 14"], ["o", "r + 9", "r + 23"], ["r", "t + 15", "t + 38"], ["t", "y + 14", "y + 52"], ["y", "a + 17", "a + 69"], ["a", 9, "78"]], "target_var_name": "s", "target_value": 78, "value_dict": {"a": 9}, "is_reverse": true}}
| 771
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = y + 14; a = 9; s = h + 6; o = r + 9; m = z + 16; y = a + 17; g = u + 18; r = t + 15; h = o + 8; z = a + 4; n = f + 17; u = m + 3; f = g + 3. Given that a = 9, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = o + 8 to s, which gives s = o + 14.\n2. Substitute o = r + 9 to s, which gives s = r + 23.\n3. Substitute r = t + 15 to s, which gives s = t + 38.\n4. Substitute t = y + 14 to s, which gives s = y + 52.\n5. Substitute y = a + 17 to s, which gives s = a + 69.\n6. Substitute a = 9 to s, which gives s = 78.\n\nThus, the final answer is s = \\boxed{78}.",
"index": 771,
"question": "Suppose a collection of variables is related by the following definitions: t = y + 14; a = 9; s = h + 6; o = r + 9; m = z + 16; y = a + 17; g = u + 18; r = t + 15; h = o + 8; z = a + 4; n = f + 17; u = m + 3; f = g + 3. Given that a = 9, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"s": "l + 15", "i": "s + 19", "y": "i + 20", "b": "y + 11", "u": "b + 20", "e": "u + 13", "f": "l + 20", "p": "f + 2", "m": "p + 18", "r": "m + 18", "t": "r + 12", "v": "t + 11", "l": 5}, "premises": {"l": 5}, "target": "e"}, "answer": {"steps": [["u", "b + 20", "b + 33"], ["b", "y + 11", "y + 44"], ["y", "i + 20", "i + 64"], ["i", "s + 19", "s + 83"], ["s", "l + 15", "l + 98"], ["l", 5, "103"]], "target_var_name": "e", "target_value": 103, "value_dict": {"l": 5}, "is_reverse": true}}
| 772
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = f + 2; f = l + 20; u = b + 20; v = t + 11; y = i + 20; s = l + 15; l = 5; m = p + 18; b = y + 11; e = u + 13; i = s + 19; r = m + 18; t = r + 12. Given that l = 5, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 103,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = b + 20 to e, which gives e = b + 33.\n2. Substitute b = y + 11 to e, which gives e = y + 44.\n3. Substitute y = i + 20 to e, which gives e = i + 64.\n4. Substitute i = s + 19 to e, which gives e = s + 83.\n5. Substitute s = l + 15 to e, which gives e = l + 98.\n6. Substitute l = 5 to e, which gives e = 103.\n\nThus, the final answer is e = \\boxed{103}.",
"index": 772,
"question": "Suppose a collection of variables is related by the following definitions: p = f + 2; f = l + 20; u = b + 20; v = t + 11; y = i + 20; s = l + 15; l = 5; m = p + 18; b = y + 11; e = u + 13; i = s + 19; r = m + 18; t = r + 12. Given that l = 5, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"q": "c + 8", "j": "q + 4", "a": "j + 11", "y": "a + 5", "k": "y + 2", "p": "k + 16", "g": "c + 1", "r": "g + 18", "o": "r + 5", "v": "o + 8", "w": "v + 2", "n": "w + 20", "c": 12}, "premises": {"c": 12}, "target": "p"}, "answer": {"steps": [["k", "y + 2", "y + 18"], ["y", "a + 5", "a + 23"], ["a", "j + 11", "j + 34"], ["j", "q + 4", "q + 38"], ["q", "c + 8", "c + 46"], ["c", 12, "58"]], "target_var_name": "p", "target_value": 58, "value_dict": {"c": 12}, "is_reverse": true}}
| 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: q = c + 8; v = o + 8; w = v + 2; a = j + 11; g = c + 1; k = y + 2; r = g + 18; o = r + 5; p = k + 16; n = w + 20; j = q + 4; c = 12; y = a + 5. If c = 12, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = y + 2 to p, which gives p = y + 18.\n2. Substitute y = a + 5 to p, which gives p = a + 23.\n3. Substitute a = j + 11 to p, which gives p = j + 34.\n4. Substitute j = q + 4 to p, which gives p = q + 38.\n5. Substitute q = c + 8 to p, which gives p = c + 46.\n6. Substitute c = 12 to p, which gives p = 58.\n\nThus, the final answer is p = \\boxed{58}.",
"index": 773,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = c + 8; v = o + 8; w = v + 2; a = j + 11; g = c + 1; k = y + 2; r = g + 18; o = r + 5; p = k + 16; n = w + 20; j = q + 4; c = 12; y = a + 5. If c = 12, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"f": "v + 5", "r": "f + 17", "k": "r + 18", "i": "k + 2", "u": "i + 3", "h": "u + 13", "g": "v + 15", "n": "g + 9", "q": "n + 11", "d": "q + 14", "s": "d + 17", "l": "s + 13", "v": 9}, "premises": {"v": 9}, "target": "h"}, "answer": {"steps": [["u", "i + 3", "i + 16"], ["i", "k + 2", "k + 18"], ["k", "r + 18", "r + 36"], ["r", "f + 17", "f + 53"], ["f", "v + 5", "v + 58"], ["v", 9, "67"]], "target_var_name": "h", "target_value": 67, "value_dict": {"v": 9}, "is_reverse": true}}
| 774
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = d + 17; r = f + 17; k = r + 18; g = v + 15; i = k + 2; v = 9; n = g + 9; l = s + 13; h = u + 13; u = i + 3; f = v + 5; d = q + 14; q = n + 11. Given that v = 9, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = i + 3 to h, which gives h = i + 16.\n2. Substitute i = k + 2 to h, which gives h = k + 18.\n3. Substitute k = r + 18 to h, which gives h = r + 36.\n4. Substitute r = f + 17 to h, which gives h = f + 53.\n5. Substitute f = v + 5 to h, which gives h = v + 58.\n6. Substitute v = 9 to h, which gives h = 67.\n\nThus, the final answer is h = \\boxed{67}.",
"index": 774,
"question": "Suppose a collection of variables is related by the following definitions: s = d + 17; r = f + 17; k = r + 18; g = v + 15; i = k + 2; v = 9; n = g + 9; l = s + 13; h = u + 13; u = i + 3; f = v + 5; d = q + 14; q = n + 11. Given that v = 9, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"m": "g + 11", "u": "m + 7", "b": "u + 14", "r": "b + 18", "o": "r + 4", "d": "o + 15", "e": "g + 6", "p": "e + 18", "v": "p + 17", "t": "v + 9", "n": "t + 10", "k": "n + 20", "g": 14}, "premises": {"g": 14}, "target": "d"}, "answer": {"steps": [["o", "r + 4", "r + 19"], ["r", "b + 18", "b + 37"], ["b", "u + 14", "u + 51"], ["u", "m + 7", "m + 58"], ["m", "g + 11", "g + 69"], ["g", 14, "83"]], "target_var_name": "d", "target_value": 83, "value_dict": {"g": 14}, "is_reverse": true}}
| 775
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = r + 4; v = p + 17; u = m + 7; e = g + 6; t = v + 9; d = o + 15; m = g + 11; r = b + 18; g = 14; n = t + 10; p = e + 18; b = u + 14; k = n + 20. Given that g = 14, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = r + 4 to d, which gives d = r + 19.\n2. Substitute r = b + 18 to d, which gives d = b + 37.\n3. Substitute b = u + 14 to d, which gives d = u + 51.\n4. Substitute u = m + 7 to d, which gives d = m + 58.\n5. Substitute m = g + 11 to d, which gives d = g + 69.\n6. Substitute g = 14 to d, which gives d = 83.\n\nThus, the final answer is d = \\boxed{83}.",
"index": 775,
"question": "Suppose a collection of variables is related by the following definitions: o = r + 4; v = p + 17; u = m + 7; e = g + 6; t = v + 9; d = o + 15; m = g + 11; r = b + 18; g = 14; n = t + 10; p = e + 18; b = u + 14; k = n + 20. Given that g = 14, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"o": "g + 13", "j": "o + 6", "z": "j + 2", "d": "z + 17", "y": "d + 6", "r": "y + 8", "b": "g + 15", "v": "b + 17", "x": "v + 11", "w": "x + 7", "c": "w + 4", "m": "c + 11", "g": 14}, "premises": {"g": 14}, "target": "r"}, "answer": {"steps": [["y", "d + 6", "d + 14"], ["d", "z + 17", "z + 31"], ["z", "j + 2", "j + 33"], ["j", "o + 6", "o + 39"], ["o", "g + 13", "g + 52"], ["g", 14, "66"]], "target_var_name": "r", "target_value": 66, "value_dict": {"g": 14}, "is_reverse": true}}
| 776
| 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 = 14; x = v + 11; d = z + 17; y = d + 6; o = g + 13; w = x + 7; r = y + 8; c = w + 4; v = b + 17; m = c + 11; j = o + 6; b = g + 15; z = j + 2. If g = 14, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = d + 6 to r, which gives r = d + 14.\n2. Substitute d = z + 17 to r, which gives r = z + 31.\n3. Substitute z = j + 2 to r, which gives r = j + 33.\n4. Substitute j = o + 6 to r, which gives r = o + 39.\n5. Substitute o = g + 13 to r, which gives r = g + 52.\n6. Substitute g = 14 to r, which gives r = 66.\n\nThus, the final answer is r = \\boxed{66}.",
"index": 776,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = 14; x = v + 11; d = z + 17; y = d + 6; o = g + 13; w = x + 7; r = y + 8; c = w + 4; v = b + 17; m = c + 11; j = o + 6; b = g + 15; z = j + 2. If g = 14, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"y": "t + 2", "r": "y + 3", "i": "r + 12", "z": "i + 12", "l": "z + 8", "v": "l + 18", "p": "t + 3", "g": "p + 18", "k": "g + 1", "u": "k + 11", "c": "u + 3", "h": "c + 6", "t": 14}, "premises": {"t": 14}, "target": "v"}, "answer": {"steps": [["l", "z + 8", "z + 26"], ["z", "i + 12", "i + 38"], ["i", "r + 12", "r + 50"], ["r", "y + 3", "y + 53"], ["y", "t + 2", "t + 55"], ["t", 14, "69"]], "target_var_name": "v", "target_value": 69, "value_dict": {"t": 14}, "is_reverse": true}}
| 777
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = 14; u = k + 11; i = r + 12; k = g + 1; p = t + 3; l = z + 8; y = t + 2; h = c + 6; g = p + 18; z = i + 12; c = u + 3; r = y + 3; v = l + 18. If t = 14, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = z + 8 to v, which gives v = z + 26.\n2. Substitute z = i + 12 to v, which gives v = i + 38.\n3. Substitute i = r + 12 to v, which gives v = r + 50.\n4. Substitute r = y + 3 to v, which gives v = y + 53.\n5. Substitute y = t + 2 to v, which gives v = t + 55.\n6. Substitute t = 14 to v, which gives v = 69.\n\nThus, the final answer is v = \\boxed{69}.",
"index": 777,
"question": "Consider a system of variables where each variable is defined as follows: t = 14; u = k + 11; i = r + 12; k = g + 1; p = t + 3; l = z + 8; y = t + 2; h = c + 6; g = p + 18; z = i + 12; c = u + 3; r = y + 3; v = l + 18. If t = 14, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"n": "e + 4", "a": "n + 19", "y": "a + 12", "h": "y + 19", "g": "h + 5", "b": "g + 20", "q": "e + 15", "x": "q + 13", "d": "x + 11", "i": "d + 5", "m": "i + 20", "w": "m + 18", "e": 15}, "premises": {"e": 15}, "target": "b"}, "answer": {"steps": [["g", "h + 5", "h + 25"], ["h", "y + 19", "y + 44"], ["y", "a + 12", "a + 56"], ["a", "n + 19", "n + 75"], ["n", "e + 4", "e + 79"], ["e", 15, "94"]], "target_var_name": "b", "target_value": 94, "value_dict": {"e": 15}, "is_reverse": true}}
| 778
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = d + 5; q = e + 15; m = i + 20; h = y + 19; d = x + 11; w = m + 18; x = q + 13; b = g + 20; a = n + 19; n = e + 4; y = a + 12; e = 15; g = h + 5. Given that e = 15, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = h + 5 to b, which gives b = h + 25.\n2. Substitute h = y + 19 to b, which gives b = y + 44.\n3. Substitute y = a + 12 to b, which gives b = a + 56.\n4. Substitute a = n + 19 to b, which gives b = n + 75.\n5. Substitute n = e + 4 to b, which gives b = e + 79.\n6. Substitute e = 15 to b, which gives b = 94.\n\nThus, the final answer is b = \\boxed{94}.",
"index": 778,
"question": "Suppose a collection of variables is related by the following definitions: i = d + 5; q = e + 15; m = i + 20; h = y + 19; d = x + 11; w = m + 18; x = q + 13; b = g + 20; a = n + 19; n = e + 4; y = a + 12; e = 15; g = h + 5. Given that e = 15, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"m": "u + 4", "h": "m + 16", "l": "h + 2", "q": "l + 12", "e": "q + 9", "y": "e + 6", "t": "u + 4", "d": "t + 20", "r": "d + 1", "g": "r + 5", "p": "g + 10", "n": "p + 4", "u": 9}, "premises": {"u": 9}, "target": "y"}, "answer": {"steps": [["e", "q + 9", "q + 15"], ["q", "l + 12", "l + 27"], ["l", "h + 2", "h + 29"], ["h", "m + 16", "m + 45"], ["m", "u + 4", "u + 49"], ["u", 9, "58"]], "target_var_name": "y", "target_value": 58, "value_dict": {"u": 9}, "is_reverse": true}}
| 779
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = d + 1; l = h + 2; y = e + 6; m = u + 4; q = l + 12; u = 9; n = p + 4; p = g + 10; d = t + 20; h = m + 16; g = r + 5; t = u + 4; e = q + 9. If u = 9, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = q + 9 to y, which gives y = q + 15.\n2. Substitute q = l + 12 to y, which gives y = l + 27.\n3. Substitute l = h + 2 to y, which gives y = h + 29.\n4. Substitute h = m + 16 to y, which gives y = m + 45.\n5. Substitute m = u + 4 to y, which gives y = u + 49.\n6. Substitute u = 9 to y, which gives y = 58.\n\nThus, the final answer is y = \\boxed{58}.",
"index": 779,
"question": "Consider a system of variables where each variable is defined as follows: r = d + 1; l = h + 2; y = e + 6; m = u + 4; q = l + 12; u = 9; n = p + 4; p = g + 10; d = t + 20; h = m + 16; g = r + 5; t = u + 4; e = q + 9. If u = 9, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"k": "h + 13", "g": "k + 17", "b": "g + 17", "l": "b + 11", "q": "l + 1", "n": "q + 20", "i": "h + 8", "o": "i + 9", "s": "o + 1", "v": "s + 19", "t": "v + 1", "j": "t + 18", "h": 17}, "premises": {"h": 17}, "target": "n"}, "answer": {"steps": [["q", "l + 1", "l + 21"], ["l", "b + 11", "b + 32"], ["b", "g + 17", "g + 49"], ["g", "k + 17", "k + 66"], ["k", "h + 13", "h + 79"], ["h", 17, "96"]], "target_var_name": "n", "target_value": 96, "value_dict": {"h": 17}, "is_reverse": true}}
| 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: n = q + 20; j = t + 18; t = v + 1; o = i + 9; h = 17; s = o + 1; l = b + 11; g = k + 17; i = h + 8; v = s + 19; q = l + 1; b = g + 17; k = h + 13. If h = 17, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 96,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = l + 1 to n, which gives n = l + 21.\n2. Substitute l = b + 11 to n, which gives n = b + 32.\n3. Substitute b = g + 17 to n, which gives n = g + 49.\n4. Substitute g = k + 17 to n, which gives n = k + 66.\n5. Substitute k = h + 13 to n, which gives n = h + 79.\n6. Substitute h = 17 to n, which gives n = 96.\n\nThus, the final answer is n = \\boxed{96}.",
"index": 780,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = q + 20; j = t + 18; t = v + 1; o = i + 9; h = 17; s = o + 1; l = b + 11; g = k + 17; i = h + 8; v = s + 19; q = l + 1; b = g + 17; k = h + 13. If h = 17, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"w": "p + 2", "c": "w + 13", "s": "c + 20", "y": "s + 12", "a": "y + 19", "i": "a + 17", "x": "p + 17", "g": "x + 15", "j": "g + 8", "l": "j + 12", "b": "l + 14", "q": "b + 11", "p": 15}, "premises": {"p": 15}, "target": "i"}, "answer": {"steps": [["a", "y + 19", "y + 36"], ["y", "s + 12", "s + 48"], ["s", "c + 20", "c + 68"], ["c", "w + 13", "w + 81"], ["w", "p + 2", "p + 83"], ["p", 15, "98"]], "target_var_name": "i", "target_value": 98, "value_dict": {"p": 15}, "is_reverse": true}}
| 781
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = l + 14; a = y + 19; j = g + 8; q = b + 11; l = j + 12; g = x + 15; p = 15; x = p + 17; w = p + 2; c = w + 13; y = s + 12; i = a + 17; s = c + 20. If p = 15, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 98,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = y + 19 to i, which gives i = y + 36.\n2. Substitute y = s + 12 to i, which gives i = s + 48.\n3. Substitute s = c + 20 to i, which gives i = c + 68.\n4. Substitute c = w + 13 to i, which gives i = w + 81.\n5. Substitute w = p + 2 to i, which gives i = p + 83.\n6. Substitute p = 15 to i, which gives i = 98.\n\nThus, the final answer is i = \\boxed{98}.",
"index": 781,
"question": "Consider a system of variables where each variable is defined as follows: b = l + 14; a = y + 19; j = g + 8; q = b + 11; l = j + 12; g = x + 15; p = 15; x = p + 17; w = p + 2; c = w + 13; y = s + 12; i = a + 17; s = c + 20. If p = 15, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"p": "w + 19", "o": "p + 18", "q": "o + 3", "c": "q + 18", "h": "c + 4", "y": "h + 6", "f": "w + 15", "i": "f + 18", "n": "i + 15", "r": "n + 17", "b": "r + 17", "e": "b + 5", "w": 3}, "premises": {"w": 3}, "target": "y"}, "answer": {"steps": [["h", "c + 4", "c + 10"], ["c", "q + 18", "q + 28"], ["q", "o + 3", "o + 31"], ["o", "p + 18", "p + 49"], ["p", "w + 19", "w + 68"], ["w", 3, "71"]], "target_var_name": "y", "target_value": 71, "value_dict": {"w": 3}, "is_reverse": true}}
| 782
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = w + 19; w = 3; n = i + 15; i = f + 18; h = c + 4; c = q + 18; o = p + 18; b = r + 17; f = w + 15; y = h + 6; r = n + 17; e = b + 5; q = o + 3. If w = 3, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = c + 4 to y, which gives y = c + 10.\n2. Substitute c = q + 18 to y, which gives y = q + 28.\n3. Substitute q = o + 3 to y, which gives y = o + 31.\n4. Substitute o = p + 18 to y, which gives y = p + 49.\n5. Substitute p = w + 19 to y, which gives y = w + 68.\n6. Substitute w = 3 to y, which gives y = 71.\n\nThus, the final answer is y = \\boxed{71}.",
"index": 782,
"question": "Consider a system of variables where each variable is defined as follows: p = w + 19; w = 3; n = i + 15; i = f + 18; h = c + 4; c = q + 18; o = p + 18; b = r + 17; f = w + 15; y = h + 6; r = n + 17; e = b + 5; q = o + 3. If w = 3, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"n": "z + 19", "p": "n + 17", "q": "p + 10", "j": "q + 5", "o": "j + 19", "r": "o + 19", "d": "z + 19", "b": "d + 1", "m": "b + 19", "u": "m + 7", "v": "u + 11", "s": "v + 6", "z": 2}, "premises": {"z": 2}, "target": "r"}, "answer": {"steps": [["o", "j + 19", "j + 38"], ["j", "q + 5", "q + 43"], ["q", "p + 10", "p + 53"], ["p", "n + 17", "n + 70"], ["n", "z + 19", "z + 89"], ["z", 2, "91"]], "target_var_name": "r", "target_value": 91, "value_dict": {"z": 2}, "is_reverse": true}}
| 783
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = d + 1; z = 2; v = u + 11; q = p + 10; m = b + 19; n = z + 19; u = m + 7; r = o + 19; p = n + 17; d = z + 19; j = q + 5; o = j + 19; s = v + 6. Given that z = 2, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = j + 19 to r, which gives r = j + 38.\n2. Substitute j = q + 5 to r, which gives r = q + 43.\n3. Substitute q = p + 10 to r, which gives r = p + 53.\n4. Substitute p = n + 17 to r, which gives r = n + 70.\n5. Substitute n = z + 19 to r, which gives r = z + 89.\n6. Substitute z = 2 to r, which gives r = 91.\n\nThus, the final answer is r = \\boxed{91}.",
"index": 783,
"question": "Suppose a collection of variables is related by the following definitions: b = d + 1; z = 2; v = u + 11; q = p + 10; m = b + 19; n = z + 19; u = m + 7; r = o + 19; p = n + 17; d = z + 19; j = q + 5; o = j + 19; s = v + 6. Given that z = 2, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"y": "v + 14", "a": "y + 1", "w": "a + 4", "z": "w + 15", "r": "z + 7", "f": "r + 12", "j": "v + 3", "t": "j + 16", "i": "t + 10", "k": "i + 16", "u": "k + 4", "l": "u + 16", "v": 7}, "premises": {"v": 7}, "target": "f"}, "answer": {"steps": [["r", "z + 7", "z + 19"], ["z", "w + 15", "w + 34"], ["w", "a + 4", "a + 38"], ["a", "y + 1", "y + 39"], ["y", "v + 14", "v + 53"], ["v", 7, "60"]], "target_var_name": "f", "target_value": 60, "value_dict": {"v": 7}, "is_reverse": true}}
| 784
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = r + 12; l = u + 16; j = v + 3; a = y + 1; w = a + 4; v = 7; k = i + 16; i = t + 10; t = j + 16; z = w + 15; u = k + 4; y = v + 14; r = z + 7. If v = 7, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = z + 7 to f, which gives f = z + 19.\n2. Substitute z = w + 15 to f, which gives f = w + 34.\n3. Substitute w = a + 4 to f, which gives f = a + 38.\n4. Substitute a = y + 1 to f, which gives f = y + 39.\n5. Substitute y = v + 14 to f, which gives f = v + 53.\n6. Substitute v = 7 to f, which gives f = 60.\n\nThus, the final answer is f = \\boxed{60}.",
"index": 784,
"question": "Consider a system of variables where each variable is defined as follows: f = r + 12; l = u + 16; j = v + 3; a = y + 1; w = a + 4; v = 7; k = i + 16; i = t + 10; t = j + 16; z = w + 15; u = k + 4; y = v + 14; r = z + 7. If v = 7, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"x": "m + 7", "h": "x + 19", "q": "h + 17", "n": "q + 16", "p": "n + 10", "v": "p + 15", "t": "m + 12", "y": "t + 8", "u": "y + 11", "d": "u + 11", "z": "d + 6", "f": "z + 14", "m": 8}, "premises": {"m": 8}, "target": "v"}, "answer": {"steps": [["p", "n + 10", "n + 25"], ["n", "q + 16", "q + 41"], ["q", "h + 17", "h + 58"], ["h", "x + 19", "x + 77"], ["x", "m + 7", "m + 84"], ["m", 8, "92"]], "target_var_name": "v", "target_value": 92, "value_dict": {"m": 8}, "is_reverse": true}}
| 785
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = z + 14; u = y + 11; z = d + 6; t = m + 12; v = p + 15; h = x + 19; y = t + 8; n = q + 16; q = h + 17; d = u + 11; p = n + 10; x = m + 7; m = 8. If m = 8, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = n + 10 to v, which gives v = n + 25.\n2. Substitute n = q + 16 to v, which gives v = q + 41.\n3. Substitute q = h + 17 to v, which gives v = h + 58.\n4. Substitute h = x + 19 to v, which gives v = x + 77.\n5. Substitute x = m + 7 to v, which gives v = m + 84.\n6. Substitute m = 8 to v, which gives v = 92.\n\nThus, the final answer is v = \\boxed{92}.",
"index": 785,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = z + 14; u = y + 11; z = d + 6; t = m + 12; v = p + 15; h = x + 19; y = t + 8; n = q + 16; q = h + 17; d = u + 11; p = n + 10; x = m + 7; m = 8. If m = 8, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"v": "b + 8", "x": "v + 18", "h": "x + 8", "o": "h + 5", "u": "o + 8", "m": "u + 11", "d": "b + 9", "l": "d + 4", "n": "l + 2", "p": "n + 4", "c": "p + 1", "q": "c + 9", "b": 2}, "premises": {"b": 2}, "target": "m"}, "answer": {"steps": [["u", "o + 8", "o + 19"], ["o", "h + 5", "h + 24"], ["h", "x + 8", "x + 32"], ["x", "v + 18", "v + 50"], ["v", "b + 8", "b + 58"], ["b", 2, "60"]], "target_var_name": "m", "target_value": 60, "value_dict": {"b": 2}, "is_reverse": true}}
| 786
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = v + 18; q = c + 9; h = x + 8; n = l + 2; p = n + 4; d = b + 9; b = 2; l = d + 4; v = b + 8; o = h + 5; u = o + 8; m = u + 11; c = p + 1. If b = 2, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = o + 8 to m, which gives m = o + 19.\n2. Substitute o = h + 5 to m, which gives m = h + 24.\n3. Substitute h = x + 8 to m, which gives m = x + 32.\n4. Substitute x = v + 18 to m, which gives m = v + 50.\n5. Substitute v = b + 8 to m, which gives m = b + 58.\n6. Substitute b = 2 to m, which gives m = 60.\n\nThus, the final answer is m = \\boxed{60}.",
"index": 786,
"question": "Consider a system of variables where each variable is defined as follows: x = v + 18; q = c + 9; h = x + 8; n = l + 2; p = n + 4; d = b + 9; b = 2; l = d + 4; v = b + 8; o = h + 5; u = o + 8; m = u + 11; c = p + 1. If b = 2, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"d": "a + 9", "p": "d + 2", "o": "p + 10", "h": "o + 18", "q": "h + 12", "u": "q + 3", "i": "a + 13", "z": "i + 10", "f": "z + 13", "e": "f + 14", "l": "e + 17", "c": "l + 19", "a": 12}, "premises": {"a": 12}, "target": "u"}, "answer": {"steps": [["q", "h + 12", "h + 15"], ["h", "o + 18", "o + 33"], ["o", "p + 10", "p + 43"], ["p", "d + 2", "d + 45"], ["d", "a + 9", "a + 54"], ["a", 12, "66"]], "target_var_name": "u", "target_value": 66, "value_dict": {"a": 12}, "is_reverse": true}}
| 787
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = z + 13; q = h + 12; h = o + 18; c = l + 19; l = e + 17; o = p + 10; a = 12; u = q + 3; i = a + 13; d = a + 9; p = d + 2; z = i + 10; e = f + 14. Given that a = 12, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = h + 12 to u, which gives u = h + 15.\n2. Substitute h = o + 18 to u, which gives u = o + 33.\n3. Substitute o = p + 10 to u, which gives u = p + 43.\n4. Substitute p = d + 2 to u, which gives u = d + 45.\n5. Substitute d = a + 9 to u, which gives u = a + 54.\n6. Substitute a = 12 to u, which gives u = 66.\n\nThus, the final answer is u = \\boxed{66}.",
"index": 787,
"question": "Suppose a collection of variables is related by the following definitions: f = z + 13; q = h + 12; h = o + 18; c = l + 19; l = e + 17; o = p + 10; a = 12; u = q + 3; i = a + 13; d = a + 9; p = d + 2; z = i + 10; e = f + 14. Given that a = 12, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"e": "j + 13", "o": "e + 7", "k": "o + 2", "y": "k + 3", "t": "y + 11", "h": "t + 14", "p": "j + 20", "g": "p + 19", "s": "g + 4", "l": "s + 3", "f": "l + 9", "v": "f + 12", "j": 13}, "premises": {"j": 13}, "target": "h"}, "answer": {"steps": [["t", "y + 11", "y + 25"], ["y", "k + 3", "k + 28"], ["k", "o + 2", "o + 30"], ["o", "e + 7", "e + 37"], ["e", "j + 13", "j + 50"], ["j", 13, "63"]], "target_var_name": "h", "target_value": 63, "value_dict": {"j": 13}, "is_reverse": true}}
| 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: y = k + 3; f = l + 9; h = t + 14; v = f + 12; l = s + 3; o = e + 7; p = j + 20; k = o + 2; s = g + 4; e = j + 13; t = y + 11; j = 13; g = p + 19. If j = 13, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = y + 11 to h, which gives h = y + 25.\n2. Substitute y = k + 3 to h, which gives h = k + 28.\n3. Substitute k = o + 2 to h, which gives h = o + 30.\n4. Substitute o = e + 7 to h, which gives h = e + 37.\n5. Substitute e = j + 13 to h, which gives h = j + 50.\n6. Substitute j = 13 to h, which gives h = 63.\n\nThus, the final answer is h = \\boxed{63}.",
"index": 788,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = k + 3; f = l + 9; h = t + 14; v = f + 12; l = s + 3; o = e + 7; p = j + 20; k = o + 2; s = g + 4; e = j + 13; t = y + 11; j = 13; g = p + 19. If j = 13, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"p": "t + 6", "z": "p + 2", "a": "z + 4", "g": "a + 6", "w": "g + 19", "i": "w + 20", "b": "t + 10", "y": "b + 7", "d": "y + 18", "n": "d + 20", "s": "n + 19", "c": "s + 16", "t": 20}, "premises": {"t": 20}, "target": "i"}, "answer": {"steps": [["w", "g + 19", "g + 39"], ["g", "a + 6", "a + 45"], ["a", "z + 4", "z + 49"], ["z", "p + 2", "p + 51"], ["p", "t + 6", "t + 57"], ["t", 20, "77"]], "target_var_name": "i", "target_value": 77, "value_dict": {"t": 20}, "is_reverse": true}}
| 789
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = g + 19; y = b + 7; p = t + 6; i = w + 20; b = t + 10; c = s + 16; a = z + 4; g = a + 6; z = p + 2; n = d + 20; s = n + 19; d = y + 18; t = 20. Given that t = 20, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = g + 19 to i, which gives i = g + 39.\n2. Substitute g = a + 6 to i, which gives i = a + 45.\n3. Substitute a = z + 4 to i, which gives i = z + 49.\n4. Substitute z = p + 2 to i, which gives i = p + 51.\n5. Substitute p = t + 6 to i, which gives i = t + 57.\n6. Substitute t = 20 to i, which gives i = 77.\n\nThus, the final answer is i = \\boxed{77}.",
"index": 789,
"question": "Suppose a collection of variables is related by the following definitions: w = g + 19; y = b + 7; p = t + 6; i = w + 20; b = t + 10; c = s + 16; a = z + 4; g = a + 6; z = p + 2; n = d + 20; s = n + 19; d = y + 18; t = 20. Given that t = 20, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"u": "o + 13", "p": "u + 16", "c": "p + 20", "y": "c + 11", "v": "y + 7", "l": "v + 1", "r": "o + 3", "f": "r + 13", "a": "f + 2", "z": "a + 15", "w": "z + 12", "n": "w + 11", "o": 7}, "premises": {"o": 7}, "target": "l"}, "answer": {"steps": [["v", "y + 7", "y + 8"], ["y", "c + 11", "c + 19"], ["c", "p + 20", "p + 39"], ["p", "u + 16", "u + 55"], ["u", "o + 13", "o + 68"], ["o", 7, "75"]], "target_var_name": "l", "target_value": 75, "value_dict": {"o": 7}, "is_reverse": true}}
| 790
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = y + 7; w = z + 12; y = c + 11; f = r + 13; p = u + 16; u = o + 13; o = 7; c = p + 20; l = v + 1; a = f + 2; n = w + 11; z = a + 15; r = o + 3. If o = 7, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = y + 7 to l, which gives l = y + 8.\n2. Substitute y = c + 11 to l, which gives l = c + 19.\n3. Substitute c = p + 20 to l, which gives l = p + 39.\n4. Substitute p = u + 16 to l, which gives l = u + 55.\n5. Substitute u = o + 13 to l, which gives l = o + 68.\n6. Substitute o = 7 to l, which gives l = 75.\n\nThus, the final answer is l = \\boxed{75}.",
"index": 790,
"question": "Consider a system of variables where each variable is defined as follows: v = y + 7; w = z + 12; y = c + 11; f = r + 13; p = u + 16; u = o + 13; o = 7; c = p + 20; l = v + 1; a = f + 2; n = w + 11; z = a + 15; r = o + 3. If o = 7, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"r": "n + 3", "y": "r + 2", "x": "y + 5", "c": "x + 19", "i": "c + 7", "p": "i + 20", "k": "n + 20", "o": "k + 8", "l": "o + 10", "w": "l + 13", "d": "w + 5", "m": "d + 2", "n": 17}, "premises": {"n": 17}, "target": "p"}, "answer": {"steps": [["i", "c + 7", "c + 27"], ["c", "x + 19", "x + 46"], ["x", "y + 5", "y + 51"], ["y", "r + 2", "r + 53"], ["r", "n + 3", "n + 56"], ["n", 17, "73"]], "target_var_name": "p", "target_value": 73, "value_dict": {"n": 17}, "is_reverse": true}}
| 791
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = n + 3; k = n + 20; x = y + 5; o = k + 8; y = r + 2; l = o + 10; d = w + 5; m = d + 2; i = c + 7; p = i + 20; c = x + 19; w = l + 13; n = 17. Given that n = 17, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = c + 7 to p, which gives p = c + 27.\n2. Substitute c = x + 19 to p, which gives p = x + 46.\n3. Substitute x = y + 5 to p, which gives p = y + 51.\n4. Substitute y = r + 2 to p, which gives p = r + 53.\n5. Substitute r = n + 3 to p, which gives p = n + 56.\n6. Substitute n = 17 to p, which gives p = 73.\n\nThus, the final answer is p = \\boxed{73}.",
"index": 791,
"question": "Suppose a collection of variables is related by the following definitions: r = n + 3; k = n + 20; x = y + 5; o = k + 8; y = r + 2; l = o + 10; d = w + 5; m = d + 2; i = c + 7; p = i + 20; c = x + 19; w = l + 13; n = 17. Given that n = 17, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"u": "w + 3", "t": "u + 10", "g": "t + 9", "n": "g + 8", "h": "n + 8", "v": "h + 17", "p": "w + 18", "m": "p + 3", "z": "m + 20", "f": "z + 17", "d": "f + 20", "y": "d + 20", "w": 7}, "premises": {"w": 7}, "target": "v"}, "answer": {"steps": [["h", "n + 8", "n + 25"], ["n", "g + 8", "g + 33"], ["g", "t + 9", "t + 42"], ["t", "u + 10", "u + 52"], ["u", "w + 3", "w + 55"], ["w", 7, "62"]], "target_var_name": "v", "target_value": 62, "value_dict": {"w": 7}, "is_reverse": true}}
| 792
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = g + 8; g = t + 9; t = u + 10; u = w + 3; y = d + 20; m = p + 3; w = 7; f = z + 17; h = n + 8; p = w + 18; d = f + 20; z = m + 20; v = h + 17. If w = 7, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = n + 8 to v, which gives v = n + 25.\n2. Substitute n = g + 8 to v, which gives v = g + 33.\n3. Substitute g = t + 9 to v, which gives v = t + 42.\n4. Substitute t = u + 10 to v, which gives v = u + 52.\n5. Substitute u = w + 3 to v, which gives v = w + 55.\n6. Substitute w = 7 to v, which gives v = 62.\n\nThus, the final answer is v = \\boxed{62}.",
"index": 792,
"question": "Consider a system of variables where each variable is defined as follows: n = g + 8; g = t + 9; t = u + 10; u = w + 3; y = d + 20; m = p + 3; w = 7; f = z + 17; h = n + 8; p = w + 18; d = f + 20; z = m + 20; v = h + 17. If w = 7, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"z": "m + 2", "s": "z + 17", "y": "s + 3", "d": "y + 16", "o": "d + 19", "i": "o + 7", "h": "m + 11", "b": "h + 10", "a": "b + 15", "j": "a + 18", "c": "j + 13", "u": "c + 3", "m": 14}, "premises": {"m": 14}, "target": "i"}, "answer": {"steps": [["o", "d + 19", "d + 26"], ["d", "y + 16", "y + 42"], ["y", "s + 3", "s + 45"], ["s", "z + 17", "z + 62"], ["z", "m + 2", "m + 64"], ["m", 14, "78"]], "target_var_name": "i", "target_value": 78, "value_dict": {"m": 14}, "is_reverse": true}}
| 793
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = o + 7; s = z + 17; c = j + 13; y = s + 3; h = m + 11; a = b + 15; m = 14; u = c + 3; d = y + 16; b = h + 10; o = d + 19; z = m + 2; j = a + 18. If m = 14, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = d + 19 to i, which gives i = d + 26.\n2. Substitute d = y + 16 to i, which gives i = y + 42.\n3. Substitute y = s + 3 to i, which gives i = s + 45.\n4. Substitute s = z + 17 to i, which gives i = z + 62.\n5. Substitute z = m + 2 to i, which gives i = m + 64.\n6. Substitute m = 14 to i, which gives i = 78.\n\nThus, the final answer is i = \\boxed{78}.",
"index": 793,
"question": "Consider a system of variables where each variable is defined as follows: i = o + 7; s = z + 17; c = j + 13; y = s + 3; h = m + 11; a = b + 15; m = 14; u = c + 3; d = y + 16; b = h + 10; o = d + 19; z = m + 2; j = a + 18. If m = 14, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"s": "u + 5", "i": "s + 14", "m": "i + 12", "e": "m + 2", "f": "e + 13", "y": "f + 15", "l": "u + 4", "d": "l + 18", "h": "d + 7", "c": "h + 7", "x": "c + 5", "r": "x + 19", "u": 4}, "premises": {"u": 4}, "target": "y"}, "answer": {"steps": [["f", "e + 13", "e + 28"], ["e", "m + 2", "m + 30"], ["m", "i + 12", "i + 42"], ["i", "s + 14", "s + 56"], ["s", "u + 5", "u + 61"], ["u", 4, "65"]], "target_var_name": "y", "target_value": 65, "value_dict": {"u": 4}, "is_reverse": true}}
| 794
| 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 = 4; e = m + 2; r = x + 19; x = c + 5; s = u + 5; i = s + 14; m = i + 12; l = u + 4; y = f + 15; d = l + 18; c = h + 7; f = e + 13; h = d + 7. If u = 4, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = e + 13 to y, which gives y = e + 28.\n2. Substitute e = m + 2 to y, which gives y = m + 30.\n3. Substitute m = i + 12 to y, which gives y = i + 42.\n4. Substitute i = s + 14 to y, which gives y = s + 56.\n5. Substitute s = u + 5 to y, which gives y = u + 61.\n6. Substitute u = 4 to y, which gives y = 65.\n\nThus, the final answer is y = \\boxed{65}.",
"index": 794,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = 4; e = m + 2; r = x + 19; x = c + 5; s = u + 5; i = s + 14; m = i + 12; l = u + 4; y = f + 15; d = l + 18; c = h + 7; f = e + 13; h = d + 7. If u = 4, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"m": "i + 17", "o": "m + 11", "f": "o + 2", "u": "f + 8", "r": "u + 10", "q": "r + 2", "n": "i + 1", "l": "n + 11", "b": "l + 2", "z": "b + 11", "g": "z + 14", "h": "g + 12", "i": 13}, "premises": {"i": 13}, "target": "q"}, "answer": {"steps": [["r", "u + 10", "u + 12"], ["u", "f + 8", "f + 20"], ["f", "o + 2", "o + 22"], ["o", "m + 11", "m + 33"], ["m", "i + 17", "i + 50"], ["i", 13, "63"]], "target_var_name": "q", "target_value": 63, "value_dict": {"i": 13}, "is_reverse": true}}
| 795
| 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 + 11; g = z + 14; m = i + 17; r = u + 10; z = b + 11; q = r + 2; u = f + 8; i = 13; b = l + 2; n = i + 1; h = g + 12; l = n + 11; f = o + 2. If i = 13, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = u + 10 to q, which gives q = u + 12.\n2. Substitute u = f + 8 to q, which gives q = f + 20.\n3. Substitute f = o + 2 to q, which gives q = o + 22.\n4. Substitute o = m + 11 to q, which gives q = m + 33.\n5. Substitute m = i + 17 to q, which gives q = i + 50.\n6. Substitute i = 13 to q, which gives q = 63.\n\nThus, the final answer is q = \\boxed{63}.",
"index": 795,
"question": "Consider a system of variables where each variable is defined as follows: o = m + 11; g = z + 14; m = i + 17; r = u + 10; z = b + 11; q = r + 2; u = f + 8; i = 13; b = l + 2; n = i + 1; h = g + 12; l = n + 11; f = o + 2. If i = 13, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"g": "c + 10", "v": "g + 14", "p": "v + 11", "q": "p + 13", "a": "q + 16", "t": "a + 18", "e": "c + 2", "n": "e + 2", "d": "n + 9", "k": "d + 19", "s": "k + 5", "f": "s + 5", "c": 14}, "premises": {"c": 14}, "target": "t"}, "answer": {"steps": [["a", "q + 16", "q + 34"], ["q", "p + 13", "p + 47"], ["p", "v + 11", "v + 58"], ["v", "g + 14", "g + 72"], ["g", "c + 10", "c + 82"], ["c", 14, "96"]], "target_var_name": "t", "target_value": 96, "value_dict": {"c": 14}, "is_reverse": true}}
| 796
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = q + 16; d = n + 9; f = s + 5; g = c + 10; v = g + 14; t = a + 18; c = 14; q = p + 13; e = c + 2; n = e + 2; p = v + 11; k = d + 19; s = k + 5. If c = 14, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 96,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = q + 16 to t, which gives t = q + 34.\n2. Substitute q = p + 13 to t, which gives t = p + 47.\n3. Substitute p = v + 11 to t, which gives t = v + 58.\n4. Substitute v = g + 14 to t, which gives t = g + 72.\n5. Substitute g = c + 10 to t, which gives t = c + 82.\n6. Substitute c = 14 to t, which gives t = 96.\n\nThus, the final answer is t = \\boxed{96}.",
"index": 796,
"question": "Consider a system of variables where each variable is defined as follows: a = q + 16; d = n + 9; f = s + 5; g = c + 10; v = g + 14; t = a + 18; c = 14; q = p + 13; e = c + 2; n = e + 2; p = v + 11; k = d + 19; s = k + 5. If c = 14, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"g": "m + 9", "d": "g + 1", "j": "d + 11", "e": "j + 2", "y": "e + 14", "b": "y + 19", "f": "m + 2", "c": "f + 10", "i": "c + 4", "l": "i + 10", "z": "l + 8", "v": "z + 18", "m": 13}, "premises": {"m": 13}, "target": "b"}, "answer": {"steps": [["y", "e + 14", "e + 33"], ["e", "j + 2", "j + 35"], ["j", "d + 11", "d + 46"], ["d", "g + 1", "g + 47"], ["g", "m + 9", "m + 56"], ["m", 13, "69"]], "target_var_name": "b", "target_value": 69, "value_dict": {"m": 13}, "is_reverse": true}}
| 797
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = d + 11; y = e + 14; v = z + 18; m = 13; f = m + 2; i = c + 4; g = m + 9; d = g + 1; c = f + 10; l = i + 10; z = l + 8; b = y + 19; e = j + 2. Given that m = 13, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = e + 14 to b, which gives b = e + 33.\n2. Substitute e = j + 2 to b, which gives b = j + 35.\n3. Substitute j = d + 11 to b, which gives b = d + 46.\n4. Substitute d = g + 1 to b, which gives b = g + 47.\n5. Substitute g = m + 9 to b, which gives b = m + 56.\n6. Substitute m = 13 to b, which gives b = 69.\n\nThus, the final answer is b = \\boxed{69}.",
"index": 797,
"question": "Suppose a collection of variables is related by the following definitions: j = d + 11; y = e + 14; v = z + 18; m = 13; f = m + 2; i = c + 4; g = m + 9; d = g + 1; c = f + 10; l = i + 10; z = l + 8; b = y + 19; e = j + 2. Given that m = 13, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"k": "l + 15", "f": "k + 6", "u": "f + 9", "i": "u + 11", "w": "i + 16", "r": "w + 3", "s": "l + 5", "a": "s + 7", "o": "a + 20", "n": "o + 12", "p": "n + 19", "h": "p + 11", "l": 4}, "premises": {"l": 4}, "target": "r"}, "answer": {"steps": [["w", "i + 16", "i + 19"], ["i", "u + 11", "u + 30"], ["u", "f + 9", "f + 39"], ["f", "k + 6", "k + 45"], ["k", "l + 15", "l + 60"], ["l", 4, "64"]], "target_var_name": "r", "target_value": 64, "value_dict": {"l": 4}, "is_reverse": true}}
| 798
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = w + 3; w = i + 16; p = n + 19; k = l + 15; a = s + 7; l = 4; o = a + 20; f = k + 6; u = f + 9; n = o + 12; i = u + 11; s = l + 5; h = p + 11. Given that l = 4, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = i + 16 to r, which gives r = i + 19.\n2. Substitute i = u + 11 to r, which gives r = u + 30.\n3. Substitute u = f + 9 to r, which gives r = f + 39.\n4. Substitute f = k + 6 to r, which gives r = k + 45.\n5. Substitute k = l + 15 to r, which gives r = l + 60.\n6. Substitute l = 4 to r, which gives r = 64.\n\nThus, the final answer is r = \\boxed{64}.",
"index": 798,
"question": "Suppose a collection of variables is related by the following definitions: r = w + 3; w = i + 16; p = n + 19; k = l + 15; a = s + 7; l = 4; o = a + 20; f = k + 6; u = f + 9; n = o + 12; i = u + 11; s = l + 5; h = p + 11. Given that l = 4, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"c": "b + 18", "x": "c + 16", "l": "x + 7", "g": "l + 16", "d": "g + 12", "t": "d + 12", "r": "b + 2", "p": "r + 4", "u": "p + 1", "m": "u + 17", "n": "m + 15", "f": "n + 9", "b": 11}, "premises": {"b": 11}, "target": "t"}, "answer": {"steps": [["d", "g + 12", "g + 24"], ["g", "l + 16", "l + 40"], ["l", "x + 7", "x + 47"], ["x", "c + 16", "c + 63"], ["c", "b + 18", "b + 81"], ["b", 11, "92"]], "target_var_name": "t", "target_value": 92, "value_dict": {"b": 11}, "is_reverse": true}}
| 799
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = g + 12; u = p + 1; r = b + 2; n = m + 15; l = x + 7; t = d + 12; x = c + 16; b = 11; p = r + 4; g = l + 16; m = u + 17; f = n + 9; c = b + 18. Given that b = 11, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = g + 12 to t, which gives t = g + 24.\n2. Substitute g = l + 16 to t, which gives t = l + 40.\n3. Substitute l = x + 7 to t, which gives t = x + 47.\n4. Substitute x = c + 16 to t, which gives t = c + 63.\n5. Substitute c = b + 18 to t, which gives t = b + 81.\n6. Substitute b = 11 to t, which gives t = 92.\n\nThus, the final answer is t = \\boxed{92}.",
"index": 799,
"question": "Suppose a collection of variables is related by the following definitions: d = g + 12; u = p + 1; r = b + 2; n = m + 15; l = x + 7; t = d + 12; x = c + 16; b = 11; p = r + 4; g = l + 16; m = u + 17; f = n + 9; c = b + 18. Given that b = 11, find the value of t.",
"split": "train"
}
|
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