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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": {"l": "c + 18", "x": "l + 19", "f": "x + 14", "h": "f + 9", "u": "h + 16", "b": "u + 10", "z": "c + 6", "q": "z + 15", "m": "q + 5", "o": "m + 11", "p": "o + 20", "k": "p + 4", "c": 13}, "premises": {"c": 13}, "target": "b"}, "answer": {"steps": [["u", "h + 16", "h + 26"], ["h", "f + 9", "f + 35"], ["f", "x + 14", "x + 49"], ["x", "l + 19", "l + 68"], ["l", "c + 18", "c + 86"], ["c", 13, "99"]], "target_var_name": "b", "target_value": 99, "value_dict": {"c": 13}, "is_reverse": true}}
| 23,900
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = o + 20; q = z + 15; o = m + 11; l = c + 18; f = x + 14; b = u + 10; c = 13; k = p + 4; u = h + 16; m = q + 5; h = f + 9; x = l + 19; z = c + 6. If c = 13, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 99,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = h + 16 to b, which gives b = h + 26.\n2. Substitute h = f + 9 to b, which gives b = f + 35.\n3. Substitute f = x + 14 to b, which gives b = x + 49.\n4. Substitute x = l + 19 to b, which gives b = l + 68.\n5. Substitute l = c + 18 to b, which gives b = c + 86.\n6. Substitute c = 13 to b, which gives b = 99.\n\nThus, the final answer is b = \\boxed{99}.",
"index": 23900,
"question": "Consider a system of variables where each variable is defined as follows: p = o + 20; q = z + 15; o = m + 11; l = c + 18; f = x + 14; b = u + 10; c = 13; k = p + 4; u = h + 16; m = q + 5; h = f + 9; x = l + 19; z = c + 6. If c = 13, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"h": "a + 5", "i": "h + 8", "z": "i + 17", "j": "z + 8", "e": "j + 8", "y": "e + 6", "n": "a + 14", "d": "n + 3", "r": "d + 15", "f": "r + 16", "t": "f + 16", "b": "t + 7", "a": 15}, "premises": {"a": 15}, "target": "y"}, "answer": {"steps": [["e", "j + 8", "j + 14"], ["j", "z + 8", "z + 22"], ["z", "i + 17", "i + 39"], ["i", "h + 8", "h + 47"], ["h", "a + 5", "a + 52"], ["a", 15, "67"]], "target_var_name": "y", "target_value": 67, "value_dict": {"a": 15}, "is_reverse": true}}
| 23,901
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = i + 17; f = r + 16; b = t + 7; a = 15; j = z + 8; r = d + 15; n = a + 14; i = h + 8; d = n + 3; y = e + 6; t = f + 16; e = j + 8; h = a + 5. If a = 15, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = j + 8 to y, which gives y = j + 14.\n2. Substitute j = z + 8 to y, which gives y = z + 22.\n3. Substitute z = i + 17 to y, which gives y = i + 39.\n4. Substitute i = h + 8 to y, which gives y = h + 47.\n5. Substitute h = a + 5 to y, which gives y = a + 52.\n6. Substitute a = 15 to y, which gives y = 67.\n\nThus, the final answer is y = \\boxed{67}.",
"index": 23901,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = i + 17; f = r + 16; b = t + 7; a = 15; j = z + 8; r = d + 15; n = a + 14; i = h + 8; d = n + 3; y = e + 6; t = f + 16; e = j + 8; h = a + 5. If a = 15, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"l": "j + 6", "p": "l + 5", "y": "p + 19", "f": "y + 18", "b": "f + 13", "n": "b + 1", "i": "j + 2", "x": "i + 6", "q": "x + 14", "k": "q + 13", "t": "k + 10", "v": "t + 12", "j": 19}, "premises": {"j": 19}, "target": "n"}, "answer": {"steps": [["b", "f + 13", "f + 14"], ["f", "y + 18", "y + 32"], ["y", "p + 19", "p + 51"], ["p", "l + 5", "l + 56"], ["l", "j + 6", "j + 62"], ["j", 19, "81"]], "target_var_name": "n", "target_value": 81, "value_dict": {"j": 19}, "is_reverse": true}}
| 23,902
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = b + 1; v = t + 12; i = j + 2; k = q + 13; b = f + 13; j = 19; l = j + 6; t = k + 10; x = i + 6; q = x + 14; p = l + 5; f = y + 18; y = p + 19. If j = 19, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = f + 13 to n, which gives n = f + 14.\n2. Substitute f = y + 18 to n, which gives n = y + 32.\n3. Substitute y = p + 19 to n, which gives n = p + 51.\n4. Substitute p = l + 5 to n, which gives n = l + 56.\n5. Substitute l = j + 6 to n, which gives n = j + 62.\n6. Substitute j = 19 to n, which gives n = 81.\n\nThus, the final answer is n = \\boxed{81}.",
"index": 23902,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = b + 1; v = t + 12; i = j + 2; k = q + 13; b = f + 13; j = 19; l = j + 6; t = k + 10; x = i + 6; q = x + 14; p = l + 5; f = y + 18; y = p + 19. If j = 19, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"u": "n + 10", "z": "u + 12", "e": "z + 8", "s": "e + 3", "j": "s + 5", "t": "j + 13", "y": "n + 15", "w": "y + 4", "r": "w + 15", "h": "r + 13", "v": "h + 14", "g": "v + 17", "n": 20}, "premises": {"n": 20}, "target": "t"}, "answer": {"steps": [["j", "s + 5", "s + 18"], ["s", "e + 3", "e + 21"], ["e", "z + 8", "z + 29"], ["z", "u + 12", "u + 41"], ["u", "n + 10", "n + 51"], ["n", 20, "71"]], "target_var_name": "t", "target_value": 71, "value_dict": {"n": 20}, "is_reverse": true}}
| 23,903
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = n + 15; v = h + 14; s = e + 3; r = w + 15; t = j + 13; h = r + 13; e = z + 8; j = s + 5; g = v + 17; n = 20; u = n + 10; z = u + 12; w = y + 4. If n = 20, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = s + 5 to t, which gives t = s + 18.\n2. Substitute s = e + 3 to t, which gives t = e + 21.\n3. Substitute e = z + 8 to t, which gives t = z + 29.\n4. Substitute z = u + 12 to t, which gives t = u + 41.\n5. Substitute u = n + 10 to t, which gives t = n + 51.\n6. Substitute n = 20 to t, which gives t = 71.\n\nThus, the final answer is t = \\boxed{71}.",
"index": 23903,
"question": "Consider a system of variables where each variable is defined as follows: y = n + 15; v = h + 14; s = e + 3; r = w + 15; t = j + 13; h = r + 13; e = z + 8; j = s + 5; g = v + 17; n = 20; u = n + 10; z = u + 12; w = y + 4. If n = 20, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"w": "z + 17", "a": "w + 8", "p": "a + 17", "r": "p + 17", "v": "r + 4", "c": "v + 19", "q": "z + 17", "i": "q + 20", "e": "i + 14", "l": "e + 14", "u": "l + 20", "s": "u + 9", "z": 11}, "premises": {"z": 11}, "target": "c"}, "answer": {"steps": [["v", "r + 4", "r + 23"], ["r", "p + 17", "p + 40"], ["p", "a + 17", "a + 57"], ["a", "w + 8", "w + 65"], ["w", "z + 17", "z + 82"], ["z", 11, "93"]], "target_var_name": "c", "target_value": 93, "value_dict": {"z": 11}, "is_reverse": true}}
| 23,904
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = v + 19; z = 11; s = u + 9; l = e + 14; w = z + 17; r = p + 17; u = l + 20; e = i + 14; a = w + 8; i = q + 20; p = a + 17; q = z + 17; v = r + 4. If z = 11, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = r + 4 to c, which gives c = r + 23.\n2. Substitute r = p + 17 to c, which gives c = p + 40.\n3. Substitute p = a + 17 to c, which gives c = a + 57.\n4. Substitute a = w + 8 to c, which gives c = w + 65.\n5. Substitute w = z + 17 to c, which gives c = z + 82.\n6. Substitute z = 11 to c, which gives c = 93.\n\nThus, the final answer is c = \\boxed{93}.",
"index": 23904,
"question": "Consider a system of variables where each variable is defined as follows: c = v + 19; z = 11; s = u + 9; l = e + 14; w = z + 17; r = p + 17; u = l + 20; e = i + 14; a = w + 8; i = q + 20; p = a + 17; q = z + 17; v = r + 4. If z = 11, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"y": "u + 18", "a": "y + 19", "x": "a + 19", "m": "x + 4", "f": "m + 11", "n": "f + 5", "b": "u + 12", "i": "b + 9", "j": "i + 17", "t": "j + 2", "h": "t + 1", "d": "h + 7", "u": 16}, "premises": {"u": 16}, "target": "n"}, "answer": {"steps": [["f", "m + 11", "m + 16"], ["m", "x + 4", "x + 20"], ["x", "a + 19", "a + 39"], ["a", "y + 19", "y + 58"], ["y", "u + 18", "u + 76"], ["u", 16, "92"]], "target_var_name": "n", "target_value": 92, "value_dict": {"u": 16}, "is_reverse": true}}
| 23,905
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = b + 9; j = i + 17; x = a + 19; f = m + 11; a = y + 19; b = u + 12; m = x + 4; h = t + 1; t = j + 2; u = 16; y = u + 18; n = f + 5; d = h + 7. Given that u = 16, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = m + 11 to n, which gives n = m + 16.\n2. Substitute m = x + 4 to n, which gives n = x + 20.\n3. Substitute x = a + 19 to n, which gives n = a + 39.\n4. Substitute a = y + 19 to n, which gives n = y + 58.\n5. Substitute y = u + 18 to n, which gives n = u + 76.\n6. Substitute u = 16 to n, which gives n = 92.\n\nThus, the final answer is n = \\boxed{92}.",
"index": 23905,
"question": "Suppose a collection of variables is related by the following definitions: i = b + 9; j = i + 17; x = a + 19; f = m + 11; a = y + 19; b = u + 12; m = x + 4; h = t + 1; t = j + 2; u = 16; y = u + 18; n = f + 5; d = h + 7. Given that u = 16, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"e": "m + 18", "w": "e + 16", "b": "w + 18", "g": "b + 1", "c": "g + 4", "j": "c + 20", "r": "m + 14", "n": "r + 7", "l": "n + 13", "q": "l + 6", "o": "q + 9", "s": "o + 17", "m": 15}, "premises": {"m": 15}, "target": "j"}, "answer": {"steps": [["c", "g + 4", "g + 24"], ["g", "b + 1", "b + 25"], ["b", "w + 18", "w + 43"], ["w", "e + 16", "e + 59"], ["e", "m + 18", "m + 77"], ["m", 15, "92"]], "target_var_name": "j", "target_value": 92, "value_dict": {"m": 15}, "is_reverse": true}}
| 23,906
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = o + 17; q = l + 6; l = n + 13; g = b + 1; w = e + 16; b = w + 18; m = 15; r = m + 14; n = r + 7; o = q + 9; c = g + 4; j = c + 20; e = m + 18. If m = 15, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = g + 4 to j, which gives j = g + 24.\n2. Substitute g = b + 1 to j, which gives j = b + 25.\n3. Substitute b = w + 18 to j, which gives j = w + 43.\n4. Substitute w = e + 16 to j, which gives j = e + 59.\n5. Substitute e = m + 18 to j, which gives j = m + 77.\n6. Substitute m = 15 to j, which gives j = 92.\n\nThus, the final answer is j = \\boxed{92}.",
"index": 23906,
"question": "Consider a system of variables where each variable is defined as follows: s = o + 17; q = l + 6; l = n + 13; g = b + 1; w = e + 16; b = w + 18; m = 15; r = m + 14; n = r + 7; o = q + 9; c = g + 4; j = c + 20; e = m + 18. If m = 15, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"t": "l + 15", "z": "t + 18", "x": "z + 13", "f": "x + 15", "c": "f + 3", "s": "c + 20", "e": "l + 16", "m": "e + 5", "v": "m + 14", "b": "v + 8", "p": "b + 20", "n": "p + 12", "l": 8}, "premises": {"l": 8}, "target": "s"}, "answer": {"steps": [["c", "f + 3", "f + 23"], ["f", "x + 15", "x + 38"], ["x", "z + 13", "z + 51"], ["z", "t + 18", "t + 69"], ["t", "l + 15", "l + 84"], ["l", 8, "92"]], "target_var_name": "s", "target_value": 92, "value_dict": {"l": 8}, "is_reverse": true}}
| 23,907
| 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 = v + 8; l = 8; v = m + 14; z = t + 18; x = z + 13; t = l + 15; c = f + 3; p = b + 20; n = p + 12; s = c + 20; f = x + 15; e = l + 16; m = e + 5. If l = 8, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = f + 3 to s, which gives s = f + 23.\n2. Substitute f = x + 15 to s, which gives s = x + 38.\n3. Substitute x = z + 13 to s, which gives s = z + 51.\n4. Substitute z = t + 18 to s, which gives s = t + 69.\n5. Substitute t = l + 15 to s, which gives s = l + 84.\n6. Substitute l = 8 to s, which gives s = 92.\n\nThus, the final answer is s = \\boxed{92}.",
"index": 23907,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = v + 8; l = 8; v = m + 14; z = t + 18; x = z + 13; t = l + 15; c = f + 3; p = b + 20; n = p + 12; s = c + 20; f = x + 15; e = l + 16; m = e + 5. If l = 8, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"e": "c + 19", "m": "e + 16", "z": "m + 12", "d": "z + 5", "h": "d + 20", "n": "h + 17", "l": "c + 18", "s": "l + 19", "k": "s + 5", "t": "k + 6", "w": "t + 7", "y": "w + 10", "c": 18}, "premises": {"c": 18}, "target": "n"}, "answer": {"steps": [["h", "d + 20", "d + 37"], ["d", "z + 5", "z + 42"], ["z", "m + 12", "m + 54"], ["m", "e + 16", "e + 70"], ["e", "c + 19", "c + 89"], ["c", 18, "107"]], "target_var_name": "n", "target_value": 107, "value_dict": {"c": 18}, "is_reverse": true}}
| 23,908
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = w + 10; s = l + 19; w = t + 7; l = c + 18; d = z + 5; n = h + 17; t = k + 6; z = m + 12; k = s + 5; e = c + 19; h = d + 20; m = e + 16; c = 18. Given that c = 18, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 107,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = d + 20 to n, which gives n = d + 37.\n2. Substitute d = z + 5 to n, which gives n = z + 42.\n3. Substitute z = m + 12 to n, which gives n = m + 54.\n4. Substitute m = e + 16 to n, which gives n = e + 70.\n5. Substitute e = c + 19 to n, which gives n = c + 89.\n6. Substitute c = 18 to n, which gives n = 107.\n\nThus, the final answer is n = \\boxed{107}.",
"index": 23908,
"question": "Suppose a collection of variables is related by the following definitions: y = w + 10; s = l + 19; w = t + 7; l = c + 18; d = z + 5; n = h + 17; t = k + 6; z = m + 12; k = s + 5; e = c + 19; h = d + 20; m = e + 16; c = 18. Given that c = 18, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"n": "h + 20", "f": "n + 18", "j": "f + 18", "z": "j + 7", "l": "z + 14", "a": "l + 20", "x": "h + 14", "u": "x + 14", "k": "u + 17", "w": "k + 4", "d": "w + 8", "g": "d + 2", "h": 8}, "premises": {"h": 8}, "target": "a"}, "answer": {"steps": [["l", "z + 14", "z + 34"], ["z", "j + 7", "j + 41"], ["j", "f + 18", "f + 59"], ["f", "n + 18", "n + 77"], ["n", "h + 20", "h + 97"], ["h", 8, "105"]], "target_var_name": "a", "target_value": 105, "value_dict": {"h": 8}, "is_reverse": true}}
| 23,909
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = n + 18; n = h + 20; k = u + 17; g = d + 2; l = z + 14; x = h + 14; h = 8; d = w + 8; w = k + 4; a = l + 20; u = x + 14; z = j + 7; j = f + 18. If h = 8, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 105,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = z + 14 to a, which gives a = z + 34.\n2. Substitute z = j + 7 to a, which gives a = j + 41.\n3. Substitute j = f + 18 to a, which gives a = f + 59.\n4. Substitute f = n + 18 to a, which gives a = n + 77.\n5. Substitute n = h + 20 to a, which gives a = h + 97.\n6. Substitute h = 8 to a, which gives a = 105.\n\nThus, the final answer is a = \\boxed{105}.",
"index": 23909,
"question": "Consider a system of variables where each variable is defined as follows: f = n + 18; n = h + 20; k = u + 17; g = d + 2; l = z + 14; x = h + 14; h = 8; d = w + 8; w = k + 4; a = l + 20; u = x + 14; z = j + 7; j = f + 18. If h = 8, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"h": "q + 18", "v": "h + 8", "k": "v + 12", "l": "k + 4", "p": "l + 9", "f": "p + 7", "j": "q + 15", "a": "j + 4", "w": "a + 12", "u": "w + 17", "i": "u + 17", "s": "i + 2", "q": 11}, "premises": {"q": 11}, "target": "f"}, "answer": {"steps": [["p", "l + 9", "l + 16"], ["l", "k + 4", "k + 20"], ["k", "v + 12", "v + 32"], ["v", "h + 8", "h + 40"], ["h", "q + 18", "q + 58"], ["q", 11, "69"]], "target_var_name": "f", "target_value": 69, "value_dict": {"q": 11}, "is_reverse": true}}
| 23,910
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = j + 4; f = p + 7; i = u + 17; s = i + 2; k = v + 12; l = k + 4; u = w + 17; h = q + 18; q = 11; j = q + 15; v = h + 8; p = l + 9; w = a + 12. Given that q = 11, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = l + 9 to f, which gives f = l + 16.\n2. Substitute l = k + 4 to f, which gives f = k + 20.\n3. Substitute k = v + 12 to f, which gives f = v + 32.\n4. Substitute v = h + 8 to f, which gives f = h + 40.\n5. Substitute h = q + 18 to f, which gives f = q + 58.\n6. Substitute q = 11 to f, which gives f = 69.\n\nThus, the final answer is f = \\boxed{69}.",
"index": 23910,
"question": "Suppose a collection of variables is related by the following definitions: a = j + 4; f = p + 7; i = u + 17; s = i + 2; k = v + 12; l = k + 4; u = w + 17; h = q + 18; q = 11; j = q + 15; v = h + 8; p = l + 9; w = a + 12. Given that q = 11, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"b": "x + 19", "y": "b + 17", "f": "y + 1", "a": "f + 19", "z": "a + 1", "i": "z + 2", "w": "x + 3", "d": "w + 16", "g": "d + 8", "u": "g + 1", "r": "u + 4", "s": "r + 20", "x": 7}, "premises": {"x": 7}, "target": "i"}, "answer": {"steps": [["z", "a + 1", "a + 3"], ["a", "f + 19", "f + 22"], ["f", "y + 1", "y + 23"], ["y", "b + 17", "b + 40"], ["b", "x + 19", "x + 59"], ["x", 7, "66"]], "target_var_name": "i", "target_value": 66, "value_dict": {"x": 7}, "is_reverse": true}}
| 23,911
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = d + 8; x = 7; z = a + 1; u = g + 1; b = x + 19; r = u + 4; s = r + 20; y = b + 17; a = f + 19; w = x + 3; d = w + 16; i = z + 2; f = y + 1. If x = 7, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = a + 1 to i, which gives i = a + 3.\n2. Substitute a = f + 19 to i, which gives i = f + 22.\n3. Substitute f = y + 1 to i, which gives i = y + 23.\n4. Substitute y = b + 17 to i, which gives i = b + 40.\n5. Substitute b = x + 19 to i, which gives i = x + 59.\n6. Substitute x = 7 to i, which gives i = 66.\n\nThus, the final answer is i = \\boxed{66}.",
"index": 23911,
"question": "Consider a system of variables where each variable is defined as follows: g = d + 8; x = 7; z = a + 1; u = g + 1; b = x + 19; r = u + 4; s = r + 20; y = b + 17; a = f + 19; w = x + 3; d = w + 16; i = z + 2; f = y + 1. If x = 7, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"l": "i + 16", "z": "l + 8", "u": "z + 5", "o": "u + 19", "d": "o + 1", "n": "d + 1", "f": "i + 14", "k": "f + 4", "g": "k + 5", "b": "g + 2", "p": "b + 4", "a": "p + 9", "i": 3}, "premises": {"i": 3}, "target": "n"}, "answer": {"steps": [["d", "o + 1", "o + 2"], ["o", "u + 19", "u + 21"], ["u", "z + 5", "z + 26"], ["z", "l + 8", "l + 34"], ["l", "i + 16", "i + 50"], ["i", 3, "53"]], "target_var_name": "n", "target_value": 53, "value_dict": {"i": 3}, "is_reverse": true}}
| 23,912
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = f + 4; d = o + 1; b = g + 2; n = d + 1; a = p + 9; o = u + 19; f = i + 14; i = 3; p = b + 4; z = l + 8; u = z + 5; g = k + 5; l = i + 16. If i = 3, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = o + 1 to n, which gives n = o + 2.\n2. Substitute o = u + 19 to n, which gives n = u + 21.\n3. Substitute u = z + 5 to n, which gives n = z + 26.\n4. Substitute z = l + 8 to n, which gives n = l + 34.\n5. Substitute l = i + 16 to n, which gives n = i + 50.\n6. Substitute i = 3 to n, which gives n = 53.\n\nThus, the final answer is n = \\boxed{53}.",
"index": 23912,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = f + 4; d = o + 1; b = g + 2; n = d + 1; a = p + 9; o = u + 19; f = i + 14; i = 3; p = b + 4; z = l + 8; u = z + 5; g = k + 5; l = i + 16. If i = 3, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"l": "a + 6", "s": "l + 8", "d": "s + 15", "c": "d + 12", "u": "c + 3", "h": "u + 2", "m": "a + 1", "k": "m + 5", "b": "k + 16", "t": "b + 12", "w": "t + 20", "v": "w + 17", "a": 13}, "premises": {"a": 13}, "target": "h"}, "answer": {"steps": [["u", "c + 3", "c + 5"], ["c", "d + 12", "d + 17"], ["d", "s + 15", "s + 32"], ["s", "l + 8", "l + 40"], ["l", "a + 6", "a + 46"], ["a", 13, "59"]], "target_var_name": "h", "target_value": 59, "value_dict": {"a": 13}, "is_reverse": true}}
| 23,913
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = l + 8; u = c + 3; a = 13; d = s + 15; w = t + 20; l = a + 6; v = w + 17; c = d + 12; b = k + 16; h = u + 2; k = m + 5; m = a + 1; t = b + 12. Given that a = 13, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = c + 3 to h, which gives h = c + 5.\n2. Substitute c = d + 12 to h, which gives h = d + 17.\n3. Substitute d = s + 15 to h, which gives h = s + 32.\n4. Substitute s = l + 8 to h, which gives h = l + 40.\n5. Substitute l = a + 6 to h, which gives h = a + 46.\n6. Substitute a = 13 to h, which gives h = 59.\n\nThus, the final answer is h = \\boxed{59}.",
"index": 23913,
"question": "Suppose a collection of variables is related by the following definitions: s = l + 8; u = c + 3; a = 13; d = s + 15; w = t + 20; l = a + 6; v = w + 17; c = d + 12; b = k + 16; h = u + 2; k = m + 5; m = a + 1; t = b + 12. Given that a = 13, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"k": "i + 5", "x": "k + 4", "l": "x + 20", "s": "l + 5", "y": "s + 5", "u": "y + 13", "m": "i + 6", "r": "m + 2", "b": "r + 12", "z": "b + 4", "c": "z + 9", "t": "c + 14", "i": 13}, "premises": {"i": 13}, "target": "u"}, "answer": {"steps": [["y", "s + 5", "s + 18"], ["s", "l + 5", "l + 23"], ["l", "x + 20", "x + 43"], ["x", "k + 4", "k + 47"], ["k", "i + 5", "i + 52"], ["i", 13, "65"]], "target_var_name": "u", "target_value": 65, "value_dict": {"i": 13}, "is_reverse": true}}
| 23,914
| 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 = m + 2; k = i + 5; t = c + 14; m = i + 6; b = r + 12; z = b + 4; y = s + 5; x = k + 4; s = l + 5; c = z + 9; i = 13; l = x + 20; u = y + 13. If i = 13, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = s + 5 to u, which gives u = s + 18.\n2. Substitute s = l + 5 to u, which gives u = l + 23.\n3. Substitute l = x + 20 to u, which gives u = x + 43.\n4. Substitute x = k + 4 to u, which gives u = k + 47.\n5. Substitute k = i + 5 to u, which gives u = i + 52.\n6. Substitute i = 13 to u, which gives u = 65.\n\nThus, the final answer is u = \\boxed{65}.",
"index": 23914,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = m + 2; k = i + 5; t = c + 14; m = i + 6; b = r + 12; z = b + 4; y = s + 5; x = k + 4; s = l + 5; c = z + 9; i = 13; l = x + 20; u = y + 13. If i = 13, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"r": "g + 5", "u": "r + 11", "h": "u + 14", "w": "h + 16", "q": "w + 4", "c": "q + 10", "d": "g + 8", "m": "d + 16", "f": "m + 13", "p": "f + 14", "i": "p + 18", "o": "i + 11", "g": 18}, "premises": {"g": 18}, "target": "c"}, "answer": {"steps": [["q", "w + 4", "w + 14"], ["w", "h + 16", "h + 30"], ["h", "u + 14", "u + 44"], ["u", "r + 11", "r + 55"], ["r", "g + 5", "g + 60"], ["g", 18, "78"]], "target_var_name": "c", "target_value": 78, "value_dict": {"g": 18}, "is_reverse": true}}
| 23,915
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = w + 4; m = d + 16; f = m + 13; o = i + 11; w = h + 16; i = p + 18; p = f + 14; d = g + 8; u = r + 11; h = u + 14; c = q + 10; g = 18; r = g + 5. Given that g = 18, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = w + 4 to c, which gives c = w + 14.\n2. Substitute w = h + 16 to c, which gives c = h + 30.\n3. Substitute h = u + 14 to c, which gives c = u + 44.\n4. Substitute u = r + 11 to c, which gives c = r + 55.\n5. Substitute r = g + 5 to c, which gives c = g + 60.\n6. Substitute g = 18 to c, which gives c = 78.\n\nThus, the final answer is c = \\boxed{78}.",
"index": 23915,
"question": "Suppose a collection of variables is related by the following definitions: q = w + 4; m = d + 16; f = m + 13; o = i + 11; w = h + 16; i = p + 18; p = f + 14; d = g + 8; u = r + 11; h = u + 14; c = q + 10; g = 18; r = g + 5. Given that g = 18, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"w": "x + 4", "t": "w + 10", "f": "t + 2", "b": "f + 15", "m": "b + 13", "q": "m + 19", "j": "x + 6", "i": "j + 20", "c": "i + 2", "h": "c + 11", "v": "h + 1", "y": "v + 16", "x": 5}, "premises": {"x": 5}, "target": "q"}, "answer": {"steps": [["m", "b + 13", "b + 32"], ["b", "f + 15", "f + 47"], ["f", "t + 2", "t + 49"], ["t", "w + 10", "w + 59"], ["w", "x + 4", "x + 63"], ["x", 5, "68"]], "target_var_name": "q", "target_value": 68, "value_dict": {"x": 5}, "is_reverse": true}}
| 23,916
| 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 = w + 10; f = t + 2; j = x + 6; m = b + 13; h = c + 11; y = v + 16; v = h + 1; i = j + 20; w = x + 4; q = m + 19; x = 5; c = i + 2; b = f + 15. If x = 5, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = b + 13 to q, which gives q = b + 32.\n2. Substitute b = f + 15 to q, which gives q = f + 47.\n3. Substitute f = t + 2 to q, which gives q = t + 49.\n4. Substitute t = w + 10 to q, which gives q = w + 59.\n5. Substitute w = x + 4 to q, which gives q = x + 63.\n6. Substitute x = 5 to q, which gives q = 68.\n\nThus, the final answer is q = \\boxed{68}.",
"index": 23916,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = w + 10; f = t + 2; j = x + 6; m = b + 13; h = c + 11; y = v + 16; v = h + 1; i = j + 20; w = x + 4; q = m + 19; x = 5; c = i + 2; b = f + 15. If x = 5, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"d": "t + 14", "r": "d + 7", "l": "r + 9", "m": "l + 19", "h": "m + 18", "f": "h + 20", "i": "t + 5", "p": "i + 5", "c": "p + 3", "w": "c + 19", "n": "w + 18", "a": "n + 14", "t": 8}, "premises": {"t": 8}, "target": "f"}, "answer": {"steps": [["h", "m + 18", "m + 38"], ["m", "l + 19", "l + 57"], ["l", "r + 9", "r + 66"], ["r", "d + 7", "d + 73"], ["d", "t + 14", "t + 87"], ["t", 8, "95"]], "target_var_name": "f", "target_value": 95, "value_dict": {"t": 8}, "is_reverse": true}}
| 23,917
| 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 + 7; t = 8; n = w + 18; w = c + 19; m = l + 19; a = n + 14; d = t + 14; l = r + 9; f = h + 20; i = t + 5; p = i + 5; c = p + 3; h = m + 18. If t = 8, 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 h = m + 18 to f, which gives f = m + 38.\n2. Substitute m = l + 19 to f, which gives f = l + 57.\n3. Substitute l = r + 9 to f, which gives f = r + 66.\n4. Substitute r = d + 7 to f, which gives f = d + 73.\n5. Substitute d = t + 14 to f, which gives f = t + 87.\n6. Substitute t = 8 to f, which gives f = 95.\n\nThus, the final answer is f = \\boxed{95}.",
"index": 23917,
"question": "Consider a system of variables where each variable is defined as follows: r = d + 7; t = 8; n = w + 18; w = c + 19; m = l + 19; a = n + 14; d = t + 14; l = r + 9; f = h + 20; i = t + 5; p = i + 5; c = p + 3; h = m + 18. If t = 8, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"p": "y + 4", "d": "p + 8", "e": "d + 20", "o": "e + 6", "g": "o + 13", "k": "g + 13", "m": "y + 14", "j": "m + 6", "a": "j + 16", "b": "a + 13", "c": "b + 13", "i": "c + 15", "y": 11}, "premises": {"y": 11}, "target": "k"}, "answer": {"steps": [["g", "o + 13", "o + 26"], ["o", "e + 6", "e + 32"], ["e", "d + 20", "d + 52"], ["d", "p + 8", "p + 60"], ["p", "y + 4", "y + 64"], ["y", 11, "75"]], "target_var_name": "k", "target_value": 75, "value_dict": {"y": 11}, "is_reverse": true}}
| 23,918
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = o + 13; k = g + 13; b = a + 13; d = p + 8; e = d + 20; y = 11; a = j + 16; i = c + 15; c = b + 13; p = y + 4; j = m + 6; o = e + 6; m = y + 14. If y = 11, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = o + 13 to k, which gives k = o + 26.\n2. Substitute o = e + 6 to k, which gives k = e + 32.\n3. Substitute e = d + 20 to k, which gives k = d + 52.\n4. Substitute d = p + 8 to k, which gives k = p + 60.\n5. Substitute p = y + 4 to k, which gives k = y + 64.\n6. Substitute y = 11 to k, which gives k = 75.\n\nThus, the final answer is k = \\boxed{75}.",
"index": 23918,
"question": "Consider a system of variables where each variable is defined as follows: g = o + 13; k = g + 13; b = a + 13; d = p + 8; e = d + 20; y = 11; a = j + 16; i = c + 15; c = b + 13; p = y + 4; j = m + 6; o = e + 6; m = y + 14. If y = 11, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"v": "p + 16", "x": "v + 16", "w": "x + 11", "l": "w + 8", "b": "l + 15", "c": "b + 20", "t": "p + 17", "e": "t + 6", "r": "e + 9", "u": "r + 15", "z": "u + 8", "k": "z + 18", "p": 20}, "premises": {"p": 20}, "target": "c"}, "answer": {"steps": [["b", "l + 15", "l + 35"], ["l", "w + 8", "w + 43"], ["w", "x + 11", "x + 54"], ["x", "v + 16", "v + 70"], ["v", "p + 16", "p + 86"], ["p", 20, "106"]], "target_var_name": "c", "target_value": 106, "value_dict": {"p": 20}, "is_reverse": true}}
| 23,919
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = l + 15; e = t + 6; w = x + 11; l = w + 8; u = r + 15; v = p + 16; p = 20; r = e + 9; t = p + 17; x = v + 16; c = b + 20; z = u + 8; k = z + 18. Given that p = 20, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 106,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = l + 15 to c, which gives c = l + 35.\n2. Substitute l = w + 8 to c, which gives c = w + 43.\n3. Substitute w = x + 11 to c, which gives c = x + 54.\n4. Substitute x = v + 16 to c, which gives c = v + 70.\n5. Substitute v = p + 16 to c, which gives c = p + 86.\n6. Substitute p = 20 to c, which gives c = 106.\n\nThus, the final answer is c = \\boxed{106}.",
"index": 23919,
"question": "Suppose a collection of variables is related by the following definitions: b = l + 15; e = t + 6; w = x + 11; l = w + 8; u = r + 15; v = p + 16; p = 20; r = e + 9; t = p + 17; x = v + 16; c = b + 20; z = u + 8; k = z + 18. Given that p = 20, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"w": "c + 15", "z": "w + 6", "a": "z + 9", "f": "a + 6", "s": "f + 14", "u": "s + 13", "l": "c + 5", "j": "l + 3", "e": "j + 11", "t": "e + 14", "y": "t + 13", "r": "y + 18", "c": 8}, "premises": {"c": 8}, "target": "u"}, "answer": {"steps": [["s", "f + 14", "f + 27"], ["f", "a + 6", "a + 33"], ["a", "z + 9", "z + 42"], ["z", "w + 6", "w + 48"], ["w", "c + 15", "c + 63"], ["c", 8, "71"]], "target_var_name": "u", "target_value": 71, "value_dict": {"c": 8}, "is_reverse": true}}
| 23,920
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = 8; a = z + 9; l = c + 5; f = a + 6; z = w + 6; s = f + 14; w = c + 15; j = l + 3; r = y + 18; t = e + 14; e = j + 11; y = t + 13; u = s + 13. If c = 8, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = f + 14 to u, which gives u = f + 27.\n2. Substitute f = a + 6 to u, which gives u = a + 33.\n3. Substitute a = z + 9 to u, which gives u = z + 42.\n4. Substitute z = w + 6 to u, which gives u = w + 48.\n5. Substitute w = c + 15 to u, which gives u = c + 63.\n6. Substitute c = 8 to u, which gives u = 71.\n\nThus, the final answer is u = \\boxed{71}.",
"index": 23920,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = 8; a = z + 9; l = c + 5; f = a + 6; z = w + 6; s = f + 14; w = c + 15; j = l + 3; r = y + 18; t = e + 14; e = j + 11; y = t + 13; u = s + 13. If c = 8, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"w": "k + 14", "o": "w + 3", "s": "o + 17", "h": "s + 7", "d": "h + 9", "f": "d + 4", "c": "k + 13", "r": "c + 14", "y": "r + 2", "a": "y + 10", "g": "a + 20", "m": "g + 9", "k": 19}, "premises": {"k": 19}, "target": "f"}, "answer": {"steps": [["d", "h + 9", "h + 13"], ["h", "s + 7", "s + 20"], ["s", "o + 17", "o + 37"], ["o", "w + 3", "w + 40"], ["w", "k + 14", "k + 54"], ["k", 19, "73"]], "target_var_name": "f", "target_value": 73, "value_dict": {"k": 19}, "is_reverse": true}}
| 23,921
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = r + 2; k = 19; c = k + 13; r = c + 14; w = k + 14; a = y + 10; o = w + 3; m = g + 9; h = s + 7; f = d + 4; s = o + 17; g = a + 20; d = h + 9. If k = 19, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = h + 9 to f, which gives f = h + 13.\n2. Substitute h = s + 7 to f, which gives f = s + 20.\n3. Substitute s = o + 17 to f, which gives f = o + 37.\n4. Substitute o = w + 3 to f, which gives f = w + 40.\n5. Substitute w = k + 14 to f, which gives f = k + 54.\n6. Substitute k = 19 to f, which gives f = 73.\n\nThus, the final answer is f = \\boxed{73}.",
"index": 23921,
"question": "Consider a system of variables where each variable is defined as follows: y = r + 2; k = 19; c = k + 13; r = c + 14; w = k + 14; a = y + 10; o = w + 3; m = g + 9; h = s + 7; f = d + 4; s = o + 17; g = a + 20; d = h + 9. If k = 19, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"n": "a + 4", "l": "n + 16", "s": "l + 17", "m": "s + 9", "h": "m + 8", "f": "h + 10", "j": "a + 17", "w": "j + 20", "d": "w + 12", "z": "d + 14", "y": "z + 7", "u": "y + 7", "a": 3}, "premises": {"a": 3}, "target": "f"}, "answer": {"steps": [["h", "m + 8", "m + 18"], ["m", "s + 9", "s + 27"], ["s", "l + 17", "l + 44"], ["l", "n + 16", "n + 60"], ["n", "a + 4", "a + 64"], ["a", 3, "67"]], "target_var_name": "f", "target_value": 67, "value_dict": {"a": 3}, "is_reverse": true}}
| 23,922
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = n + 16; f = h + 10; n = a + 4; u = y + 7; y = z + 7; h = m + 8; s = l + 17; z = d + 14; a = 3; j = a + 17; w = j + 20; d = w + 12; m = s + 9. If a = 3, 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 h = m + 8 to f, which gives f = m + 18.\n2. Substitute m = s + 9 to f, which gives f = s + 27.\n3. Substitute s = l + 17 to f, which gives f = l + 44.\n4. Substitute l = n + 16 to f, which gives f = n + 60.\n5. Substitute n = a + 4 to f, which gives f = a + 64.\n6. Substitute a = 3 to f, which gives f = 67.\n\nThus, the final answer is f = \\boxed{67}.",
"index": 23922,
"question": "Consider a system of variables where each variable is defined as follows: l = n + 16; f = h + 10; n = a + 4; u = y + 7; y = z + 7; h = m + 8; s = l + 17; z = d + 14; a = 3; j = a + 17; w = j + 20; d = w + 12; m = s + 9. If a = 3, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"q": "s + 8", "i": "q + 9", "y": "i + 12", "k": "y + 10", "a": "k + 15", "o": "a + 8", "z": "s + 13", "j": "z + 1", "r": "j + 5", "e": "r + 4", "g": "e + 3", "n": "g + 12", "s": 6}, "premises": {"s": 6}, "target": "o"}, "answer": {"steps": [["a", "k + 15", "k + 23"], ["k", "y + 10", "y + 33"], ["y", "i + 12", "i + 45"], ["i", "q + 9", "q + 54"], ["q", "s + 8", "s + 62"], ["s", 6, "68"]], "target_var_name": "o", "target_value": 68, "value_dict": {"s": 6}, "is_reverse": true}}
| 23,923
| 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 = e + 3; s = 6; a = k + 15; z = s + 13; k = y + 10; j = z + 1; y = i + 12; q = s + 8; r = j + 5; n = g + 12; i = q + 9; o = a + 8; e = r + 4. If s = 6, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = k + 15 to o, which gives o = k + 23.\n2. Substitute k = y + 10 to o, which gives o = y + 33.\n3. Substitute y = i + 12 to o, which gives o = i + 45.\n4. Substitute i = q + 9 to o, which gives o = q + 54.\n5. Substitute q = s + 8 to o, which gives o = s + 62.\n6. Substitute s = 6 to o, which gives o = 68.\n\nThus, the final answer is o = \\boxed{68}.",
"index": 23923,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = e + 3; s = 6; a = k + 15; z = s + 13; k = y + 10; j = z + 1; y = i + 12; q = s + 8; r = j + 5; n = g + 12; i = q + 9; o = a + 8; e = r + 4. If s = 6, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"k": "m + 19", "f": "k + 19", "x": "f + 7", "p": "x + 1", "y": "p + 3", "q": "y + 17", "u": "m + 2", "g": "u + 13", "t": "g + 19", "v": "t + 3", "w": "v + 2", "a": "w + 14", "m": 6}, "premises": {"m": 6}, "target": "q"}, "answer": {"steps": [["y", "p + 3", "p + 20"], ["p", "x + 1", "x + 21"], ["x", "f + 7", "f + 28"], ["f", "k + 19", "k + 47"], ["k", "m + 19", "m + 66"], ["m", 6, "72"]], "target_var_name": "q", "target_value": 72, "value_dict": {"m": 6}, "is_reverse": true}}
| 23,924
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = k + 19; t = g + 19; k = m + 19; u = m + 2; w = v + 2; x = f + 7; v = t + 3; g = u + 13; q = y + 17; m = 6; y = p + 3; a = w + 14; p = x + 1. If m = 6, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = p + 3 to q, which gives q = p + 20.\n2. Substitute p = x + 1 to q, which gives q = x + 21.\n3. Substitute x = f + 7 to q, which gives q = f + 28.\n4. Substitute f = k + 19 to q, which gives q = k + 47.\n5. Substitute k = m + 19 to q, which gives q = m + 66.\n6. Substitute m = 6 to q, which gives q = 72.\n\nThus, the final answer is q = \\boxed{72}.",
"index": 23924,
"question": "Consider a system of variables where each variable is defined as follows: f = k + 19; t = g + 19; k = m + 19; u = m + 2; w = v + 2; x = f + 7; v = t + 3; g = u + 13; q = y + 17; m = 6; y = p + 3; a = w + 14; p = x + 1. If m = 6, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"k": "c + 7", "i": "k + 8", "n": "i + 3", "f": "n + 14", "w": "f + 2", "g": "w + 15", "b": "c + 12", "v": "b + 6", "z": "v + 18", "j": "z + 19", "m": "j + 14", "h": "m + 8", "c": 2}, "premises": {"c": 2}, "target": "g"}, "answer": {"steps": [["w", "f + 2", "f + 17"], ["f", "n + 14", "n + 31"], ["n", "i + 3", "i + 34"], ["i", "k + 8", "k + 42"], ["k", "c + 7", "c + 49"], ["c", 2, "51"]], "target_var_name": "g", "target_value": 51, "value_dict": {"c": 2}, "is_reverse": true}}
| 23,925
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = m + 8; n = i + 3; i = k + 8; j = z + 19; z = v + 18; c = 2; b = c + 12; w = f + 2; k = c + 7; m = j + 14; v = b + 6; g = w + 15; f = n + 14. If c = 2, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = f + 2 to g, which gives g = f + 17.\n2. Substitute f = n + 14 to g, which gives g = n + 31.\n3. Substitute n = i + 3 to g, which gives g = i + 34.\n4. Substitute i = k + 8 to g, which gives g = k + 42.\n5. Substitute k = c + 7 to g, which gives g = c + 49.\n6. Substitute c = 2 to g, which gives g = 51.\n\nThus, the final answer is g = \\boxed{51}.",
"index": 23925,
"question": "Consider a system of variables where each variable is defined as follows: h = m + 8; n = i + 3; i = k + 8; j = z + 19; z = v + 18; c = 2; b = c + 12; w = f + 2; k = c + 7; m = j + 14; v = b + 6; g = w + 15; f = n + 14. If c = 2, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"s": "i + 12", "b": "s + 3", "e": "b + 7", "o": "e + 12", "h": "o + 4", "j": "h + 12", "x": "i + 13", "z": "x + 2", "a": "z + 2", "q": "a + 7", "f": "q + 11", "d": "f + 7", "i": 9}, "premises": {"i": 9}, "target": "j"}, "answer": {"steps": [["h", "o + 4", "o + 16"], ["o", "e + 12", "e + 28"], ["e", "b + 7", "b + 35"], ["b", "s + 3", "s + 38"], ["s", "i + 12", "i + 50"], ["i", 9, "59"]], "target_var_name": "j", "target_value": 59, "value_dict": {"i": 9}, "is_reverse": true}}
| 23,926
| 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 = f + 7; a = z + 2; f = q + 11; s = i + 12; q = a + 7; e = b + 7; b = s + 3; z = x + 2; h = o + 4; i = 9; j = h + 12; o = e + 12; x = i + 13. If i = 9, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = o + 4 to j, which gives j = o + 16.\n2. Substitute o = e + 12 to j, which gives j = e + 28.\n3. Substitute e = b + 7 to j, which gives j = b + 35.\n4. Substitute b = s + 3 to j, which gives j = s + 38.\n5. Substitute s = i + 12 to j, which gives j = i + 50.\n6. Substitute i = 9 to j, which gives j = 59.\n\nThus, the final answer is j = \\boxed{59}.",
"index": 23926,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = f + 7; a = z + 2; f = q + 11; s = i + 12; q = a + 7; e = b + 7; b = s + 3; z = x + 2; h = o + 4; i = 9; j = h + 12; o = e + 12; x = i + 13. If i = 9, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"v": "c + 18", "r": "v + 19", "k": "r + 6", "z": "k + 12", "x": "z + 10", "u": "x + 3", "m": "c + 4", "d": "m + 8", "t": "d + 20", "b": "t + 17", "l": "b + 19", "g": "l + 6", "c": 9}, "premises": {"c": 9}, "target": "u"}, "answer": {"steps": [["x", "z + 10", "z + 13"], ["z", "k + 12", "k + 25"], ["k", "r + 6", "r + 31"], ["r", "v + 19", "v + 50"], ["v", "c + 18", "c + 68"], ["c", 9, "77"]], "target_var_name": "u", "target_value": 77, "value_dict": {"c": 9}, "is_reverse": true}}
| 23,927
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = t + 17; d = m + 8; t = d + 20; u = x + 3; g = l + 6; v = c + 18; c = 9; m = c + 4; x = z + 10; r = v + 19; l = b + 19; z = k + 12; k = r + 6. Given that c = 9, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = z + 10 to u, which gives u = z + 13.\n2. Substitute z = k + 12 to u, which gives u = k + 25.\n3. Substitute k = r + 6 to u, which gives u = r + 31.\n4. Substitute r = v + 19 to u, which gives u = v + 50.\n5. Substitute v = c + 18 to u, which gives u = c + 68.\n6. Substitute c = 9 to u, which gives u = 77.\n\nThus, the final answer is u = \\boxed{77}.",
"index": 23927,
"question": "Suppose a collection of variables is related by the following definitions: b = t + 17; d = m + 8; t = d + 20; u = x + 3; g = l + 6; v = c + 18; c = 9; m = c + 4; x = z + 10; r = v + 19; l = b + 19; z = k + 12; k = r + 6. Given that c = 9, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"d": "t + 5", "i": "d + 16", "z": "i + 16", "q": "z + 16", "v": "q + 10", "w": "v + 1", "k": "t + 19", "h": "k + 11", "e": "h + 4", "l": "e + 17", "j": "l + 1", "n": "j + 1", "t": 11}, "premises": {"t": 11}, "target": "w"}, "answer": {"steps": [["v", "q + 10", "q + 11"], ["q", "z + 16", "z + 27"], ["z", "i + 16", "i + 43"], ["i", "d + 16", "d + 59"], ["d", "t + 5", "t + 64"], ["t", 11, "75"]], "target_var_name": "w", "target_value": 75, "value_dict": {"t": 11}, "is_reverse": true}}
| 23,928
| 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 = q + 10; l = e + 17; k = t + 19; d = t + 5; i = d + 16; w = v + 1; q = z + 16; j = l + 1; n = j + 1; h = k + 11; t = 11; z = i + 16; e = h + 4. If t = 11, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = q + 10 to w, which gives w = q + 11.\n2. Substitute q = z + 16 to w, which gives w = z + 27.\n3. Substitute z = i + 16 to w, which gives w = i + 43.\n4. Substitute i = d + 16 to w, which gives w = d + 59.\n5. Substitute d = t + 5 to w, which gives w = t + 64.\n6. Substitute t = 11 to w, which gives w = 75.\n\nThus, the final answer is w = \\boxed{75}.",
"index": 23928,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = q + 10; l = e + 17; k = t + 19; d = t + 5; i = d + 16; w = v + 1; q = z + 16; j = l + 1; n = j + 1; h = k + 11; t = 11; z = i + 16; e = h + 4. If t = 11, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"t": "h + 5", "a": "t + 20", "o": "a + 12", "p": "o + 12", "m": "p + 6", "x": "m + 9", "g": "h + 11", "y": "g + 1", "r": "y + 10", "s": "r + 2", "w": "s + 19", "e": "w + 4", "h": 10}, "premises": {"h": 10}, "target": "x"}, "answer": {"steps": [["m", "p + 6", "p + 15"], ["p", "o + 12", "o + 27"], ["o", "a + 12", "a + 39"], ["a", "t + 20", "t + 59"], ["t", "h + 5", "h + 64"], ["h", 10, "74"]], "target_var_name": "x", "target_value": 74, "value_dict": {"h": 10}, "is_reverse": true}}
| 23,929
| 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 = g + 1; h = 10; g = h + 11; t = h + 5; w = s + 19; o = a + 12; r = y + 10; a = t + 20; e = w + 4; m = p + 6; s = r + 2; p = o + 12; x = m + 9. If h = 10, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = p + 6 to x, which gives x = p + 15.\n2. Substitute p = o + 12 to x, which gives x = o + 27.\n3. Substitute o = a + 12 to x, which gives x = a + 39.\n4. Substitute a = t + 20 to x, which gives x = t + 59.\n5. Substitute t = h + 5 to x, which gives x = h + 64.\n6. Substitute h = 10 to x, which gives x = 74.\n\nThus, the final answer is x = \\boxed{74}.",
"index": 23929,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = g + 1; h = 10; g = h + 11; t = h + 5; w = s + 19; o = a + 12; r = y + 10; a = t + 20; e = w + 4; m = p + 6; s = r + 2; p = o + 12; x = m + 9. If h = 10, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"f": "b + 14", "h": "f + 17", "w": "h + 2", "t": "w + 4", "r": "t + 13", "e": "r + 9", "p": "b + 13", "l": "p + 18", "a": "l + 17", "i": "a + 11", "z": "i + 16", "c": "z + 18", "b": 12}, "premises": {"b": 12}, "target": "e"}, "answer": {"steps": [["r", "t + 13", "t + 22"], ["t", "w + 4", "w + 26"], ["w", "h + 2", "h + 28"], ["h", "f + 17", "f + 45"], ["f", "b + 14", "b + 59"], ["b", 12, "71"]], "target_var_name": "e", "target_value": 71, "value_dict": {"b": 12}, "is_reverse": true}}
| 23,930
| 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 = b + 14; c = z + 18; w = h + 2; h = f + 17; b = 12; i = a + 11; r = t + 13; z = i + 16; t = w + 4; l = p + 18; a = l + 17; e = r + 9; p = b + 13. If b = 12, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = t + 13 to e, which gives e = t + 22.\n2. Substitute t = w + 4 to e, which gives e = w + 26.\n3. Substitute w = h + 2 to e, which gives e = h + 28.\n4. Substitute h = f + 17 to e, which gives e = f + 45.\n5. Substitute f = b + 14 to e, which gives e = b + 59.\n6. Substitute b = 12 to e, which gives e = 71.\n\nThus, the final answer is e = \\boxed{71}.",
"index": 23930,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = b + 14; c = z + 18; w = h + 2; h = f + 17; b = 12; i = a + 11; r = t + 13; z = i + 16; t = w + 4; l = p + 18; a = l + 17; e = r + 9; p = b + 13. If b = 12, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"l": "d + 6", "c": "l + 14", "n": "c + 7", "x": "n + 13", "i": "x + 10", "k": "i + 19", "r": "d + 9", "t": "r + 4", "f": "t + 10", "p": "f + 8", "b": "p + 13", "j": "b + 8", "d": 9}, "premises": {"d": 9}, "target": "k"}, "answer": {"steps": [["i", "x + 10", "x + 29"], ["x", "n + 13", "n + 42"], ["n", "c + 7", "c + 49"], ["c", "l + 14", "l + 63"], ["l", "d + 6", "d + 69"], ["d", 9, "78"]], "target_var_name": "k", "target_value": 78, "value_dict": {"d": 9}, "is_reverse": true}}
| 23,931
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = n + 13; p = f + 8; t = r + 4; k = i + 19; n = c + 7; i = x + 10; f = t + 10; d = 9; j = b + 8; c = l + 14; b = p + 13; l = d + 6; r = d + 9. If d = 9, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = x + 10 to k, which gives k = x + 29.\n2. Substitute x = n + 13 to k, which gives k = n + 42.\n3. Substitute n = c + 7 to k, which gives k = c + 49.\n4. Substitute c = l + 14 to k, which gives k = l + 63.\n5. Substitute l = d + 6 to k, which gives k = d + 69.\n6. Substitute d = 9 to k, which gives k = 78.\n\nThus, the final answer is k = \\boxed{78}.",
"index": 23931,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = n + 13; p = f + 8; t = r + 4; k = i + 19; n = c + 7; i = x + 10; f = t + 10; d = 9; j = b + 8; c = l + 14; b = p + 13; l = d + 6; r = d + 9. If d = 9, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"o": "w + 7", "z": "o + 5", "e": "z + 19", "r": "e + 6", "v": "r + 9", "m": "v + 4", "d": "w + 3", "p": "d + 7", "c": "p + 5", "x": "c + 8", "s": "x + 12", "y": "s + 16", "w": 9}, "premises": {"w": 9}, "target": "m"}, "answer": {"steps": [["v", "r + 9", "r + 13"], ["r", "e + 6", "e + 19"], ["e", "z + 19", "z + 38"], ["z", "o + 5", "o + 43"], ["o", "w + 7", "w + 50"], ["w", 9, "59"]], "target_var_name": "m", "target_value": 59, "value_dict": {"w": 9}, "is_reverse": true}}
| 23,932
| 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 = x + 12; o = w + 7; d = w + 3; v = r + 9; w = 9; z = o + 5; p = d + 7; y = s + 16; c = p + 5; x = c + 8; r = e + 6; m = v + 4; e = z + 19. If w = 9, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = r + 9 to m, which gives m = r + 13.\n2. Substitute r = e + 6 to m, which gives m = e + 19.\n3. Substitute e = z + 19 to m, which gives m = z + 38.\n4. Substitute z = o + 5 to m, which gives m = o + 43.\n5. Substitute o = w + 7 to m, which gives m = w + 50.\n6. Substitute w = 9 to m, which gives m = 59.\n\nThus, the final answer is m = \\boxed{59}.",
"index": 23932,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = x + 12; o = w + 7; d = w + 3; v = r + 9; w = 9; z = o + 5; p = d + 7; y = s + 16; c = p + 5; x = c + 8; r = e + 6; m = v + 4; e = z + 19. If w = 9, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"u": "c + 5", "i": "u + 20", "o": "i + 5", "v": "o + 3", "e": "v + 2", "h": "e + 20", "t": "c + 17", "p": "t + 9", "l": "p + 15", "d": "l + 7", "x": "d + 5", "y": "x + 15", "c": 7}, "premises": {"c": 7}, "target": "h"}, "answer": {"steps": [["e", "v + 2", "v + 22"], ["v", "o + 3", "o + 25"], ["o", "i + 5", "i + 30"], ["i", "u + 20", "u + 50"], ["u", "c + 5", "c + 55"], ["c", 7, "62"]], "target_var_name": "h", "target_value": 62, "value_dict": {"c": 7}, "is_reverse": true}}
| 23,933
| 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 = o + 3; u = c + 5; c = 7; h = e + 20; x = d + 5; d = l + 7; o = i + 5; t = c + 17; i = u + 20; e = v + 2; p = t + 9; y = x + 15; l = p + 15. If c = 7, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = v + 2 to h, which gives h = v + 22.\n2. Substitute v = o + 3 to h, which gives h = o + 25.\n3. Substitute o = i + 5 to h, which gives h = i + 30.\n4. Substitute i = u + 20 to h, which gives h = u + 50.\n5. Substitute u = c + 5 to h, which gives h = c + 55.\n6. Substitute c = 7 to h, which gives h = 62.\n\nThus, the final answer is h = \\boxed{62}.",
"index": 23933,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = o + 3; u = c + 5; c = 7; h = e + 20; x = d + 5; d = l + 7; o = i + 5; t = c + 17; i = u + 20; e = v + 2; p = t + 9; y = x + 15; l = p + 15. If c = 7, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"n": "f + 10", "l": "n + 18", "d": "l + 18", "i": "d + 17", "a": "i + 8", "e": "a + 13", "g": "f + 5", "o": "g + 5", "w": "o + 4", "v": "w + 3", "j": "v + 11", "z": "j + 7", "f": 17}, "premises": {"f": 17}, "target": "e"}, "answer": {"steps": [["a", "i + 8", "i + 21"], ["i", "d + 17", "d + 38"], ["d", "l + 18", "l + 56"], ["l", "n + 18", "n + 74"], ["n", "f + 10", "f + 84"], ["f", 17, "101"]], "target_var_name": "e", "target_value": 101, "value_dict": {"f": 17}, "is_reverse": true}}
| 23,934
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = j + 7; e = a + 13; f = 17; l = n + 18; n = f + 10; i = d + 17; v = w + 3; d = l + 18; j = v + 11; o = g + 5; w = o + 4; a = i + 8; g = f + 5. Given that f = 17, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 101,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = i + 8 to e, which gives e = i + 21.\n2. Substitute i = d + 17 to e, which gives e = d + 38.\n3. Substitute d = l + 18 to e, which gives e = l + 56.\n4. Substitute l = n + 18 to e, which gives e = n + 74.\n5. Substitute n = f + 10 to e, which gives e = f + 84.\n6. Substitute f = 17 to e, which gives e = 101.\n\nThus, the final answer is e = \\boxed{101}.",
"index": 23934,
"question": "Suppose a collection of variables is related by the following definitions: z = j + 7; e = a + 13; f = 17; l = n + 18; n = f + 10; i = d + 17; v = w + 3; d = l + 18; j = v + 11; o = g + 5; w = o + 4; a = i + 8; g = f + 5. Given that f = 17, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"h": "l + 12", "n": "h + 5", "p": "n + 20", "u": "p + 15", "z": "u + 1", "w": "z + 2", "i": "l + 16", "d": "i + 5", "x": "d + 4", "r": "x + 1", "j": "r + 9", "v": "j + 1", "l": 13}, "premises": {"l": 13}, "target": "w"}, "answer": {"steps": [["z", "u + 1", "u + 3"], ["u", "p + 15", "p + 18"], ["p", "n + 20", "n + 38"], ["n", "h + 5", "h + 43"], ["h", "l + 12", "l + 55"], ["l", 13, "68"]], "target_var_name": "w", "target_value": 68, "value_dict": {"l": 13}, "is_reverse": true}}
| 23,935
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = x + 1; x = d + 4; i = l + 16; d = i + 5; w = z + 2; v = j + 1; n = h + 5; z = u + 1; j = r + 9; u = p + 15; l = 13; h = l + 12; p = n + 20. If l = 13, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = u + 1 to w, which gives w = u + 3.\n2. Substitute u = p + 15 to w, which gives w = p + 18.\n3. Substitute p = n + 20 to w, which gives w = n + 38.\n4. Substitute n = h + 5 to w, which gives w = h + 43.\n5. Substitute h = l + 12 to w, which gives w = l + 55.\n6. Substitute l = 13 to w, which gives w = 68.\n\nThus, the final answer is w = \\boxed{68}.",
"index": 23935,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = x + 1; x = d + 4; i = l + 16; d = i + 5; w = z + 2; v = j + 1; n = h + 5; z = u + 1; j = r + 9; u = p + 15; l = 13; h = l + 12; p = n + 20. If l = 13, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"b": "f + 7", "d": "b + 13", "m": "d + 9", "y": "m + 3", "e": "y + 16", "l": "e + 17", "p": "f + 8", "h": "p + 9", "n": "h + 20", "t": "n + 3", "u": "t + 16", "i": "u + 4", "f": 6}, "premises": {"f": 6}, "target": "l"}, "answer": {"steps": [["e", "y + 16", "y + 33"], ["y", "m + 3", "m + 36"], ["m", "d + 9", "d + 45"], ["d", "b + 13", "b + 58"], ["b", "f + 7", "f + 65"], ["f", 6, "71"]], "target_var_name": "l", "target_value": 71, "value_dict": {"f": 6}, "is_reverse": true}}
| 23,936
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = p + 9; u = t + 16; e = y + 16; d = b + 13; n = h + 20; p = f + 8; m = d + 9; t = n + 3; f = 6; l = e + 17; i = u + 4; b = f + 7; y = m + 3. Given that f = 6, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = y + 16 to l, which gives l = y + 33.\n2. Substitute y = m + 3 to l, which gives l = m + 36.\n3. Substitute m = d + 9 to l, which gives l = d + 45.\n4. Substitute d = b + 13 to l, which gives l = b + 58.\n5. Substitute b = f + 7 to l, which gives l = f + 65.\n6. Substitute f = 6 to l, which gives l = 71.\n\nThus, the final answer is l = \\boxed{71}.",
"index": 23936,
"question": "Suppose a collection of variables is related by the following definitions: h = p + 9; u = t + 16; e = y + 16; d = b + 13; n = h + 20; p = f + 8; m = d + 9; t = n + 3; f = 6; l = e + 17; i = u + 4; b = f + 7; y = m + 3. Given that f = 6, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"m": "v + 16", "t": "m + 16", "x": "t + 17", "p": "x + 14", "h": "p + 1", "q": "h + 5", "u": "v + 14", "b": "u + 2", "y": "b + 3", "e": "y + 20", "o": "e + 6", "a": "o + 14", "v": 10}, "premises": {"v": 10}, "target": "q"}, "answer": {"steps": [["h", "p + 1", "p + 6"], ["p", "x + 14", "x + 20"], ["x", "t + 17", "t + 37"], ["t", "m + 16", "m + 53"], ["m", "v + 16", "v + 69"], ["v", 10, "79"]], "target_var_name": "q", "target_value": 79, "value_dict": {"v": 10}, "is_reverse": true}}
| 23,937
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = b + 3; m = v + 16; a = o + 14; q = h + 5; u = v + 14; v = 10; h = p + 1; x = t + 17; b = u + 2; o = e + 6; t = m + 16; e = y + 20; p = x + 14. If v = 10, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = p + 1 to q, which gives q = p + 6.\n2. Substitute p = x + 14 to q, which gives q = x + 20.\n3. Substitute x = t + 17 to q, which gives q = t + 37.\n4. Substitute t = m + 16 to q, which gives q = m + 53.\n5. Substitute m = v + 16 to q, which gives q = v + 69.\n6. Substitute v = 10 to q, which gives q = 79.\n\nThus, the final answer is q = \\boxed{79}.",
"index": 23937,
"question": "Consider a system of variables where each variable is defined as follows: y = b + 3; m = v + 16; a = o + 14; q = h + 5; u = v + 14; v = 10; h = p + 1; x = t + 17; b = u + 2; o = e + 6; t = m + 16; e = y + 20; p = x + 14. If v = 10, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"h": "b + 19", "n": "h + 12", "g": "n + 12", "e": "g + 6", "a": "e + 16", "j": "a + 6", "k": "b + 15", "v": "k + 4", "d": "v + 4", "c": "d + 20", "m": "c + 13", "w": "m + 15", "b": 17}, "premises": {"b": 17}, "target": "j"}, "answer": {"steps": [["a", "e + 16", "e + 22"], ["e", "g + 6", "g + 28"], ["g", "n + 12", "n + 40"], ["n", "h + 12", "h + 52"], ["h", "b + 19", "b + 71"], ["b", 17, "88"]], "target_var_name": "j", "target_value": 88, "value_dict": {"b": 17}, "is_reverse": true}}
| 23,938
| 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 = 17; g = n + 12; m = c + 13; j = a + 6; h = b + 19; a = e + 16; n = h + 12; e = g + 6; w = m + 15; c = d + 20; v = k + 4; d = v + 4; k = b + 15. If b = 17, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = e + 16 to j, which gives j = e + 22.\n2. Substitute e = g + 6 to j, which gives j = g + 28.\n3. Substitute g = n + 12 to j, which gives j = n + 40.\n4. Substitute n = h + 12 to j, which gives j = h + 52.\n5. Substitute h = b + 19 to j, which gives j = b + 71.\n6. Substitute b = 17 to j, which gives j = 88.\n\nThus, the final answer is j = \\boxed{88}.",
"index": 23938,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = 17; g = n + 12; m = c + 13; j = a + 6; h = b + 19; a = e + 16; n = h + 12; e = g + 6; w = m + 15; c = d + 20; v = k + 4; d = v + 4; k = b + 15. If b = 17, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"a": "m + 13", "r": "a + 9", "n": "r + 17", "t": "n + 1", "l": "t + 15", "p": "l + 17", "k": "m + 18", "c": "k + 6", "z": "c + 20", "d": "z + 17", "e": "d + 2", "i": "e + 20", "m": 20}, "premises": {"m": 20}, "target": "p"}, "answer": {"steps": [["l", "t + 15", "t + 32"], ["t", "n + 1", "n + 33"], ["n", "r + 17", "r + 50"], ["r", "a + 9", "a + 59"], ["a", "m + 13", "m + 72"], ["m", 20, "92"]], "target_var_name": "p", "target_value": 92, "value_dict": {"m": 20}, "is_reverse": true}}
| 23,939
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = z + 17; n = r + 17; t = n + 1; m = 20; i = e + 20; k = m + 18; e = d + 2; c = k + 6; p = l + 17; r = a + 9; a = m + 13; z = c + 20; l = t + 15. Given that m = 20, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = t + 15 to p, which gives p = t + 32.\n2. Substitute t = n + 1 to p, which gives p = n + 33.\n3. Substitute n = r + 17 to p, which gives p = r + 50.\n4. Substitute r = a + 9 to p, which gives p = a + 59.\n5. Substitute a = m + 13 to p, which gives p = m + 72.\n6. Substitute m = 20 to p, which gives p = 92.\n\nThus, the final answer is p = \\boxed{92}.",
"index": 23939,
"question": "Suppose a collection of variables is related by the following definitions: d = z + 17; n = r + 17; t = n + 1; m = 20; i = e + 20; k = m + 18; e = d + 2; c = k + 6; p = l + 17; r = a + 9; a = m + 13; z = c + 20; l = t + 15. Given that m = 20, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"u": "o + 10", "x": "u + 1", "m": "x + 3", "r": "m + 11", "b": "r + 2", "e": "b + 7", "g": "o + 12", "l": "g + 5", "k": "l + 19", "n": "k + 17", "s": "n + 11", "p": "s + 7", "o": 3}, "premises": {"o": 3}, "target": "e"}, "answer": {"steps": [["b", "r + 2", "r + 9"], ["r", "m + 11", "m + 20"], ["m", "x + 3", "x + 23"], ["x", "u + 1", "u + 24"], ["u", "o + 10", "o + 34"], ["o", 3, "37"]], "target_var_name": "e", "target_value": 37, "value_dict": {"o": 3}, "is_reverse": true}}
| 23,940
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = x + 3; b = r + 2; l = g + 5; r = m + 11; e = b + 7; p = s + 7; s = n + 11; x = u + 1; o = 3; k = l + 19; u = o + 10; n = k + 17; g = o + 12. If o = 3, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 37,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = r + 2 to e, which gives e = r + 9.\n2. Substitute r = m + 11 to e, which gives e = m + 20.\n3. Substitute m = x + 3 to e, which gives e = x + 23.\n4. Substitute x = u + 1 to e, which gives e = u + 24.\n5. Substitute u = o + 10 to e, which gives e = o + 34.\n6. Substitute o = 3 to e, which gives e = 37.\n\nThus, the final answer is e = \\boxed{37}.",
"index": 23940,
"question": "Consider a system of variables where each variable is defined as follows: m = x + 3; b = r + 2; l = g + 5; r = m + 11; e = b + 7; p = s + 7; s = n + 11; x = u + 1; o = 3; k = l + 19; u = o + 10; n = k + 17; g = o + 12. If o = 3, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"w": "g + 19", "y": "w + 6", "e": "y + 12", "b": "e + 19", "m": "b + 6", "k": "m + 11", "i": "g + 20", "s": "i + 13", "x": "s + 2", "f": "x + 1", "z": "f + 20", "o": "z + 3", "g": 18}, "premises": {"g": 18}, "target": "k"}, "answer": {"steps": [["m", "b + 6", "b + 17"], ["b", "e + 19", "e + 36"], ["e", "y + 12", "y + 48"], ["y", "w + 6", "w + 54"], ["w", "g + 19", "g + 73"], ["g", 18, "91"]], "target_var_name": "k", "target_value": 91, "value_dict": {"g": 18}, "is_reverse": true}}
| 23,941
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = i + 13; w = g + 19; f = x + 1; k = m + 11; m = b + 6; g = 18; y = w + 6; z = f + 20; o = z + 3; i = g + 20; e = y + 12; b = e + 19; x = s + 2. If g = 18, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = b + 6 to k, which gives k = b + 17.\n2. Substitute b = e + 19 to k, which gives k = e + 36.\n3. Substitute e = y + 12 to k, which gives k = y + 48.\n4. Substitute y = w + 6 to k, which gives k = w + 54.\n5. Substitute w = g + 19 to k, which gives k = g + 73.\n6. Substitute g = 18 to k, which gives k = 91.\n\nThus, the final answer is k = \\boxed{91}.",
"index": 23941,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = i + 13; w = g + 19; f = x + 1; k = m + 11; m = b + 6; g = 18; y = w + 6; z = f + 20; o = z + 3; i = g + 20; e = y + 12; b = e + 19; x = s + 2. If g = 18, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"n": "h + 1", "y": "n + 5", "s": "y + 6", "e": "s + 8", "o": "e + 16", "z": "o + 12", "u": "h + 19", "a": "u + 14", "d": "a + 18", "f": "d + 16", "j": "f + 18", "l": "j + 12", "h": 19}, "premises": {"h": 19}, "target": "z"}, "answer": {"steps": [["o", "e + 16", "e + 28"], ["e", "s + 8", "s + 36"], ["s", "y + 6", "y + 42"], ["y", "n + 5", "n + 47"], ["n", "h + 1", "h + 48"], ["h", 19, "67"]], "target_var_name": "z", "target_value": 67, "value_dict": {"h": 19}, "is_reverse": true}}
| 23,942
| 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 = j + 12; f = d + 16; n = h + 1; h = 19; e = s + 8; u = h + 19; d = a + 18; j = f + 18; z = o + 12; o = e + 16; y = n + 5; s = y + 6; a = u + 14. If h = 19, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = e + 16 to z, which gives z = e + 28.\n2. Substitute e = s + 8 to z, which gives z = s + 36.\n3. Substitute s = y + 6 to z, which gives z = y + 42.\n4. Substitute y = n + 5 to z, which gives z = n + 47.\n5. Substitute n = h + 1 to z, which gives z = h + 48.\n6. Substitute h = 19 to z, which gives z = 67.\n\nThus, the final answer is z = \\boxed{67}.",
"index": 23942,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = j + 12; f = d + 16; n = h + 1; h = 19; e = s + 8; u = h + 19; d = a + 18; j = f + 18; z = o + 12; o = e + 16; y = n + 5; s = y + 6; a = u + 14. If h = 19, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"h": "m + 2", "p": "h + 3", "u": "p + 3", "e": "u + 4", "i": "e + 3", "j": "i + 17", "d": "m + 6", "a": "d + 13", "n": "a + 10", "x": "n + 19", "z": "x + 2", "l": "z + 12", "m": 5}, "premises": {"m": 5}, "target": "j"}, "answer": {"steps": [["i", "e + 3", "e + 20"], ["e", "u + 4", "u + 24"], ["u", "p + 3", "p + 27"], ["p", "h + 3", "h + 30"], ["h", "m + 2", "m + 32"], ["m", 5, "37"]], "target_var_name": "j", "target_value": 37, "value_dict": {"m": 5}, "is_reverse": true}}
| 23,943
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = x + 2; l = z + 12; n = a + 10; m = 5; a = d + 13; p = h + 3; e = u + 4; u = p + 3; i = e + 3; x = n + 19; j = i + 17; d = m + 6; h = m + 2. Given that m = 5, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 37,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = e + 3 to j, which gives j = e + 20.\n2. Substitute e = u + 4 to j, which gives j = u + 24.\n3. Substitute u = p + 3 to j, which gives j = p + 27.\n4. Substitute p = h + 3 to j, which gives j = h + 30.\n5. Substitute h = m + 2 to j, which gives j = m + 32.\n6. Substitute m = 5 to j, which gives j = 37.\n\nThus, the final answer is j = \\boxed{37}.",
"index": 23943,
"question": "Suppose a collection of variables is related by the following definitions: z = x + 2; l = z + 12; n = a + 10; m = 5; a = d + 13; p = h + 3; e = u + 4; u = p + 3; i = e + 3; x = n + 19; j = i + 17; d = m + 6; h = m + 2. Given that m = 5, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"s": "p + 5", "m": "s + 6", "j": "m + 1", "w": "j + 4", "l": "w + 6", "r": "l + 9", "d": "p + 6", "y": "d + 9", "g": "y + 4", "i": "g + 13", "u": "i + 7", "a": "u + 18", "p": 2}, "premises": {"p": 2}, "target": "r"}, "answer": {"steps": [["l", "w + 6", "w + 15"], ["w", "j + 4", "j + 19"], ["j", "m + 1", "m + 20"], ["m", "s + 6", "s + 26"], ["s", "p + 5", "p + 31"], ["p", 2, "33"]], "target_var_name": "r", "target_value": 33, "value_dict": {"p": 2}, "is_reverse": true}}
| 23,944
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = i + 7; l = w + 6; w = j + 4; j = m + 1; r = l + 9; s = p + 5; a = u + 18; m = s + 6; d = p + 6; i = g + 13; g = y + 4; y = d + 9; p = 2. Given that p = 2, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 33,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = w + 6 to r, which gives r = w + 15.\n2. Substitute w = j + 4 to r, which gives r = j + 19.\n3. Substitute j = m + 1 to r, which gives r = m + 20.\n4. Substitute m = s + 6 to r, which gives r = s + 26.\n5. Substitute s = p + 5 to r, which gives r = p + 31.\n6. Substitute p = 2 to r, which gives r = 33.\n\nThus, the final answer is r = \\boxed{33}.",
"index": 23944,
"question": "Suppose a collection of variables is related by the following definitions: u = i + 7; l = w + 6; w = j + 4; j = m + 1; r = l + 9; s = p + 5; a = u + 18; m = s + 6; d = p + 6; i = g + 13; g = y + 4; y = d + 9; p = 2. Given that p = 2, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"t": "g + 14", "r": "t + 16", "m": "r + 14", "p": "m + 5", "k": "p + 11", "o": "k + 13", "d": "g + 20", "q": "d + 12", "y": "q + 14", "l": "y + 14", "h": "l + 20", "w": "h + 12", "g": 20}, "premises": {"g": 20}, "target": "o"}, "answer": {"steps": [["k", "p + 11", "p + 24"], ["p", "m + 5", "m + 29"], ["m", "r + 14", "r + 43"], ["r", "t + 16", "t + 59"], ["t", "g + 14", "g + 73"], ["g", 20, "93"]], "target_var_name": "o", "target_value": 93, "value_dict": {"g": 20}, "is_reverse": true}}
| 23,945
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = y + 14; o = k + 13; g = 20; p = m + 5; q = d + 12; k = p + 11; h = l + 20; y = q + 14; m = r + 14; r = t + 16; d = g + 20; t = g + 14; w = h + 12. Given that g = 20, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = p + 11 to o, which gives o = p + 24.\n2. Substitute p = m + 5 to o, which gives o = m + 29.\n3. Substitute m = r + 14 to o, which gives o = r + 43.\n4. Substitute r = t + 16 to o, which gives o = t + 59.\n5. Substitute t = g + 14 to o, which gives o = g + 73.\n6. Substitute g = 20 to o, which gives o = 93.\n\nThus, the final answer is o = \\boxed{93}.",
"index": 23945,
"question": "Suppose a collection of variables is related by the following definitions: l = y + 14; o = k + 13; g = 20; p = m + 5; q = d + 12; k = p + 11; h = l + 20; y = q + 14; m = r + 14; r = t + 16; d = g + 20; t = g + 14; w = h + 12. Given that g = 20, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"k": "j + 1", "m": "k + 4", "w": "m + 3", "p": "w + 6", "e": "p + 11", "f": "e + 2", "q": "j + 8", "v": "q + 11", "x": "v + 6", "b": "x + 13", "s": "b + 9", "d": "s + 4", "j": 13}, "premises": {"j": 13}, "target": "f"}, "answer": {"steps": [["e", "p + 11", "p + 13"], ["p", "w + 6", "w + 19"], ["w", "m + 3", "m + 22"], ["m", "k + 4", "k + 26"], ["k", "j + 1", "j + 27"], ["j", 13, "40"]], "target_var_name": "f", "target_value": 40, "value_dict": {"j": 13}, "is_reverse": true}}
| 23,946
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = w + 6; f = e + 2; e = p + 11; d = s + 4; v = q + 11; w = m + 3; m = k + 4; k = j + 1; b = x + 13; x = v + 6; q = j + 8; s = b + 9; j = 13. If j = 13, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 40,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = p + 11 to f, which gives f = p + 13.\n2. Substitute p = w + 6 to f, which gives f = w + 19.\n3. Substitute w = m + 3 to f, which gives f = m + 22.\n4. Substitute m = k + 4 to f, which gives f = k + 26.\n5. Substitute k = j + 1 to f, which gives f = j + 27.\n6. Substitute j = 13 to f, which gives f = 40.\n\nThus, the final answer is f = \\boxed{40}.",
"index": 23946,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = w + 6; f = e + 2; e = p + 11; d = s + 4; v = q + 11; w = m + 3; m = k + 4; k = j + 1; b = x + 13; x = v + 6; q = j + 8; s = b + 9; j = 13. If j = 13, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"l": "e + 17", "u": "l + 4", "k": "u + 9", "q": "k + 4", "c": "q + 12", "x": "c + 8", "m": "e + 20", "o": "m + 12", "j": "o + 8", "w": "j + 11", "s": "w + 16", "p": "s + 6", "e": 1}, "premises": {"e": 1}, "target": "x"}, "answer": {"steps": [["c", "q + 12", "q + 20"], ["q", "k + 4", "k + 24"], ["k", "u + 9", "u + 33"], ["u", "l + 4", "l + 37"], ["l", "e + 17", "e + 54"], ["e", 1, "55"]], "target_var_name": "x", "target_value": 55, "value_dict": {"e": 1}, "is_reverse": true}}
| 23,947
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = q + 12; s = w + 16; p = s + 6; x = c + 8; k = u + 9; e = 1; w = j + 11; j = o + 8; m = e + 20; u = l + 4; o = m + 12; l = e + 17; q = k + 4. If e = 1, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = q + 12 to x, which gives x = q + 20.\n2. Substitute q = k + 4 to x, which gives x = k + 24.\n3. Substitute k = u + 9 to x, which gives x = u + 33.\n4. Substitute u = l + 4 to x, which gives x = l + 37.\n5. Substitute l = e + 17 to x, which gives x = e + 54.\n6. Substitute e = 1 to x, which gives x = 55.\n\nThus, the final answer is x = \\boxed{55}.",
"index": 23947,
"question": "Consider a system of variables where each variable is defined as follows: c = q + 12; s = w + 16; p = s + 6; x = c + 8; k = u + 9; e = 1; w = j + 11; j = o + 8; m = e + 20; u = l + 4; o = m + 12; l = e + 17; q = k + 4. If e = 1, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"t": "i + 11", "e": "t + 12", "v": "e + 6", "g": "v + 3", "o": "g + 14", "h": "o + 9", "q": "i + 16", "b": "q + 6", "k": "b + 19", "a": "k + 12", "d": "a + 12", "w": "d + 5", "i": 2}, "premises": {"i": 2}, "target": "h"}, "answer": {"steps": [["o", "g + 14", "g + 23"], ["g", "v + 3", "v + 26"], ["v", "e + 6", "e + 32"], ["e", "t + 12", "t + 44"], ["t", "i + 11", "i + 55"], ["i", 2, "57"]], "target_var_name": "h", "target_value": 57, "value_dict": {"i": 2}, "is_reverse": true}}
| 23,948
| 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 = 2; h = o + 9; o = g + 14; a = k + 12; d = a + 12; b = q + 6; t = i + 11; e = t + 12; q = i + 16; g = v + 3; w = d + 5; k = b + 19; v = e + 6. If i = 2, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = g + 14 to h, which gives h = g + 23.\n2. Substitute g = v + 3 to h, which gives h = v + 26.\n3. Substitute v = e + 6 to h, which gives h = e + 32.\n4. Substitute e = t + 12 to h, which gives h = t + 44.\n5. Substitute t = i + 11 to h, which gives h = i + 55.\n6. Substitute i = 2 to h, which gives h = 57.\n\nThus, the final answer is h = \\boxed{57}.",
"index": 23948,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = 2; h = o + 9; o = g + 14; a = k + 12; d = a + 12; b = q + 6; t = i + 11; e = t + 12; q = i + 16; g = v + 3; w = d + 5; k = b + 19; v = e + 6. If i = 2, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"d": "k + 14", "r": "d + 3", "z": "r + 14", "x": "z + 3", "h": "x + 15", "p": "h + 13", "v": "k + 16", "t": "v + 20", "u": "t + 15", "y": "u + 10", "m": "y + 12", "g": "m + 13", "k": 10}, "premises": {"k": 10}, "target": "p"}, "answer": {"steps": [["h", "x + 15", "x + 28"], ["x", "z + 3", "z + 31"], ["z", "r + 14", "r + 45"], ["r", "d + 3", "d + 48"], ["d", "k + 14", "k + 62"], ["k", 10, "72"]], "target_var_name": "p", "target_value": 72, "value_dict": {"k": 10}, "is_reverse": true}}
| 23,949
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = v + 20; m = y + 12; h = x + 15; r = d + 3; z = r + 14; y = u + 10; x = z + 3; u = t + 15; g = m + 13; d = k + 14; v = k + 16; p = h + 13; k = 10. If k = 10, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = x + 15 to p, which gives p = x + 28.\n2. Substitute x = z + 3 to p, which gives p = z + 31.\n3. Substitute z = r + 14 to p, which gives p = r + 45.\n4. Substitute r = d + 3 to p, which gives p = d + 48.\n5. Substitute d = k + 14 to p, which gives p = k + 62.\n6. Substitute k = 10 to p, which gives p = 72.\n\nThus, the final answer is p = \\boxed{72}.",
"index": 23949,
"question": "Consider a system of variables where each variable is defined as follows: t = v + 20; m = y + 12; h = x + 15; r = d + 3; z = r + 14; y = u + 10; x = z + 3; u = t + 15; g = m + 13; d = k + 14; v = k + 16; p = h + 13; k = 10. If k = 10, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"o": "b + 3", "a": "o + 13", "x": "a + 15", "l": "x + 19", "v": "l + 13", "g": "v + 6", "w": "b + 4", "u": "w + 19", "d": "u + 4", "c": "d + 15", "i": "c + 6", "y": "i + 10", "b": 14}, "premises": {"b": 14}, "target": "g"}, "answer": {"steps": [["v", "l + 13", "l + 19"], ["l", "x + 19", "x + 38"], ["x", "a + 15", "a + 53"], ["a", "o + 13", "o + 66"], ["o", "b + 3", "b + 69"], ["b", 14, "83"]], "target_var_name": "g", "target_value": 83, "value_dict": {"b": 14}, "is_reverse": true}}
| 23,950
| 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 = v + 6; u = w + 19; o = b + 3; d = u + 4; l = x + 19; b = 14; v = l + 13; c = d + 15; y = i + 10; w = b + 4; a = o + 13; x = a + 15; i = c + 6. If b = 14, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = l + 13 to g, which gives g = l + 19.\n2. Substitute l = x + 19 to g, which gives g = x + 38.\n3. Substitute x = a + 15 to g, which gives g = a + 53.\n4. Substitute a = o + 13 to g, which gives g = o + 66.\n5. Substitute o = b + 3 to g, which gives g = b + 69.\n6. Substitute b = 14 to g, which gives g = 83.\n\nThus, the final answer is g = \\boxed{83}.",
"index": 23950,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = v + 6; u = w + 19; o = b + 3; d = u + 4; l = x + 19; b = 14; v = l + 13; c = d + 15; y = i + 10; w = b + 4; a = o + 13; x = a + 15; i = c + 6. If b = 14, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"u": "w + 3", "e": "u + 7", "d": "e + 1", "h": "d + 17", "n": "h + 6", "p": "n + 12", "a": "w + 11", "i": "a + 16", "r": "i + 13", "f": "r + 4", "b": "f + 19", "t": "b + 17", "w": 8}, "premises": {"w": 8}, "target": "p"}, "answer": {"steps": [["n", "h + 6", "h + 18"], ["h", "d + 17", "d + 35"], ["d", "e + 1", "e + 36"], ["e", "u + 7", "u + 43"], ["u", "w + 3", "w + 46"], ["w", 8, "54"]], "target_var_name": "p", "target_value": 54, "value_dict": {"w": 8}, "is_reverse": true}}
| 23,951
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = n + 12; i = a + 16; f = r + 4; n = h + 6; t = b + 17; e = u + 7; b = f + 19; u = w + 3; d = e + 1; a = w + 11; w = 8; h = d + 17; r = i + 13. If w = 8, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = h + 6 to p, which gives p = h + 18.\n2. Substitute h = d + 17 to p, which gives p = d + 35.\n3. Substitute d = e + 1 to p, which gives p = e + 36.\n4. Substitute e = u + 7 to p, which gives p = u + 43.\n5. Substitute u = w + 3 to p, which gives p = w + 46.\n6. Substitute w = 8 to p, which gives p = 54.\n\nThus, the final answer is p = \\boxed{54}.",
"index": 23951,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = n + 12; i = a + 16; f = r + 4; n = h + 6; t = b + 17; e = u + 7; b = f + 19; u = w + 3; d = e + 1; a = w + 11; w = 8; h = d + 17; r = i + 13. If w = 8, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"x": "h + 20", "e": "x + 10", "z": "e + 8", "q": "z + 7", "b": "q + 19", "i": "b + 11", "j": "h + 19", "v": "j + 4", "y": "v + 15", "k": "y + 3", "c": "k + 18", "u": "c + 16", "h": 18}, "premises": {"h": 18}, "target": "i"}, "answer": {"steps": [["b", "q + 19", "q + 30"], ["q", "z + 7", "z + 37"], ["z", "e + 8", "e + 45"], ["e", "x + 10", "x + 55"], ["x", "h + 20", "h + 75"], ["h", 18, "93"]], "target_var_name": "i", "target_value": 93, "value_dict": {"h": 18}, "is_reverse": true}}
| 23,952
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = k + 18; k = y + 3; i = b + 11; y = v + 15; j = h + 19; b = q + 19; e = x + 10; z = e + 8; u = c + 16; q = z + 7; v = j + 4; x = h + 20; h = 18. If h = 18, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = q + 19 to i, which gives i = q + 30.\n2. Substitute q = z + 7 to i, which gives i = z + 37.\n3. Substitute z = e + 8 to i, which gives i = e + 45.\n4. Substitute e = x + 10 to i, which gives i = x + 55.\n5. Substitute x = h + 20 to i, which gives i = h + 75.\n6. Substitute h = 18 to i, which gives i = 93.\n\nThus, the final answer is i = \\boxed{93}.",
"index": 23952,
"question": "Consider a system of variables where each variable is defined as follows: c = k + 18; k = y + 3; i = b + 11; y = v + 15; j = h + 19; b = q + 19; e = x + 10; z = e + 8; u = c + 16; q = z + 7; v = j + 4; x = h + 20; h = 18. If h = 18, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"q": "v + 13", "d": "q + 5", "l": "d + 16", "x": "l + 1", "b": "x + 12", "j": "b + 7", "y": "v + 16", "g": "y + 13", "m": "g + 19", "f": "m + 5", "u": "f + 1", "s": "u + 8", "v": 20}, "premises": {"v": 20}, "target": "j"}, "answer": {"steps": [["b", "x + 12", "x + 19"], ["x", "l + 1", "l + 20"], ["l", "d + 16", "d + 36"], ["d", "q + 5", "q + 41"], ["q", "v + 13", "v + 54"], ["v", 20, "74"]], "target_var_name": "j", "target_value": 74, "value_dict": {"v": 20}, "is_reverse": true}}
| 23,953
| 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 = d + 16; u = f + 1; f = m + 5; x = l + 1; m = g + 19; y = v + 16; s = u + 8; j = b + 7; b = x + 12; q = v + 13; v = 20; g = y + 13; d = q + 5. If v = 20, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = x + 12 to j, which gives j = x + 19.\n2. Substitute x = l + 1 to j, which gives j = l + 20.\n3. Substitute l = d + 16 to j, which gives j = d + 36.\n4. Substitute d = q + 5 to j, which gives j = q + 41.\n5. Substitute q = v + 13 to j, which gives j = v + 54.\n6. Substitute v = 20 to j, which gives j = 74.\n\nThus, the final answer is j = \\boxed{74}.",
"index": 23953,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = d + 16; u = f + 1; f = m + 5; x = l + 1; m = g + 19; y = v + 16; s = u + 8; j = b + 7; b = x + 12; q = v + 13; v = 20; g = y + 13; d = q + 5. If v = 20, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"m": "h + 17", "o": "m + 5", "t": "o + 3", "b": "t + 2", "c": "b + 9", "p": "c + 20", "a": "h + 16", "w": "a + 1", "x": "w + 10", "e": "x + 12", "k": "e + 20", "q": "k + 13", "h": 10}, "premises": {"h": 10}, "target": "p"}, "answer": {"steps": [["c", "b + 9", "b + 29"], ["b", "t + 2", "t + 31"], ["t", "o + 3", "o + 34"], ["o", "m + 5", "m + 39"], ["m", "h + 17", "h + 56"], ["h", 10, "66"]], "target_var_name": "p", "target_value": 66, "value_dict": {"h": 10}, "is_reverse": true}}
| 23,954
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = c + 20; e = x + 12; h = 10; c = b + 9; w = a + 1; t = o + 3; x = w + 10; a = h + 16; b = t + 2; k = e + 20; o = m + 5; q = k + 13; m = h + 17. Given that h = 10, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = b + 9 to p, which gives p = b + 29.\n2. Substitute b = t + 2 to p, which gives p = t + 31.\n3. Substitute t = o + 3 to p, which gives p = o + 34.\n4. Substitute o = m + 5 to p, which gives p = m + 39.\n5. Substitute m = h + 17 to p, which gives p = h + 56.\n6. Substitute h = 10 to p, which gives p = 66.\n\nThus, the final answer is p = \\boxed{66}.",
"index": 23954,
"question": "Suppose a collection of variables is related by the following definitions: p = c + 20; e = x + 12; h = 10; c = b + 9; w = a + 1; t = o + 3; x = w + 10; a = h + 16; b = t + 2; k = e + 20; o = m + 5; q = k + 13; m = h + 17. Given that h = 10, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"v": "j + 10", "i": "v + 16", "o": "i + 10", "p": "o + 18", "a": "p + 17", "c": "a + 19", "x": "j + 9", "r": "x + 2", "s": "r + 13", "w": "s + 3", "u": "w + 14", "q": "u + 9", "j": 3}, "premises": {"j": 3}, "target": "c"}, "answer": {"steps": [["a", "p + 17", "p + 36"], ["p", "o + 18", "o + 54"], ["o", "i + 10", "i + 64"], ["i", "v + 16", "v + 80"], ["v", "j + 10", "j + 90"], ["j", 3, "93"]], "target_var_name": "c", "target_value": 93, "value_dict": {"j": 3}, "is_reverse": true}}
| 23,955
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = p + 17; x = j + 9; j = 3; i = v + 16; c = a + 19; o = i + 10; r = x + 2; v = j + 10; u = w + 14; q = u + 9; p = o + 18; s = r + 13; w = s + 3. If j = 3, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = p + 17 to c, which gives c = p + 36.\n2. Substitute p = o + 18 to c, which gives c = o + 54.\n3. Substitute o = i + 10 to c, which gives c = i + 64.\n4. Substitute i = v + 16 to c, which gives c = v + 80.\n5. Substitute v = j + 10 to c, which gives c = j + 90.\n6. Substitute j = 3 to c, which gives c = 93.\n\nThus, the final answer is c = \\boxed{93}.",
"index": 23955,
"question": "Consider a system of variables where each variable is defined as follows: a = p + 17; x = j + 9; j = 3; i = v + 16; c = a + 19; o = i + 10; r = x + 2; v = j + 10; u = w + 14; q = u + 9; p = o + 18; s = r + 13; w = s + 3. If j = 3, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"l": "i + 16", "q": "l + 20", "d": "q + 9", "p": "d + 1", "a": "p + 7", "f": "a + 14", "x": "i + 12", "g": "x + 9", "b": "g + 9", "h": "b + 8", "v": "h + 4", "o": "v + 1", "i": 15}, "premises": {"i": 15}, "target": "f"}, "answer": {"steps": [["a", "p + 7", "p + 21"], ["p", "d + 1", "d + 22"], ["d", "q + 9", "q + 31"], ["q", "l + 20", "l + 51"], ["l", "i + 16", "i + 67"], ["i", 15, "82"]], "target_var_name": "f", "target_value": 82, "value_dict": {"i": 15}, "is_reverse": true}}
| 23,956
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = a + 14; o = v + 1; q = l + 20; x = i + 12; l = i + 16; a = p + 7; v = h + 4; g = x + 9; i = 15; d = q + 9; p = d + 1; b = g + 9; h = b + 8. If i = 15, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = p + 7 to f, which gives f = p + 21.\n2. Substitute p = d + 1 to f, which gives f = d + 22.\n3. Substitute d = q + 9 to f, which gives f = q + 31.\n4. Substitute q = l + 20 to f, which gives f = l + 51.\n5. Substitute l = i + 16 to f, which gives f = i + 67.\n6. Substitute i = 15 to f, which gives f = 82.\n\nThus, the final answer is f = \\boxed{82}.",
"index": 23956,
"question": "Consider a system of variables where each variable is defined as follows: f = a + 14; o = v + 1; q = l + 20; x = i + 12; l = i + 16; a = p + 7; v = h + 4; g = x + 9; i = 15; d = q + 9; p = d + 1; b = g + 9; h = b + 8. If i = 15, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"q": "c + 5", "o": "q + 6", "x": "o + 3", "r": "x + 1", "g": "r + 20", "h": "g + 8", "n": "c + 3", "s": "n + 11", "y": "s + 20", "z": "y + 3", "m": "z + 2", "u": "m + 6", "c": 9}, "premises": {"c": 9}, "target": "h"}, "answer": {"steps": [["g", "r + 20", "r + 28"], ["r", "x + 1", "x + 29"], ["x", "o + 3", "o + 32"], ["o", "q + 6", "q + 38"], ["q", "c + 5", "c + 43"], ["c", 9, "52"]], "target_var_name": "h", "target_value": 52, "value_dict": {"c": 9}, "is_reverse": true}}
| 23,957
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = y + 3; c = 9; x = o + 3; s = n + 11; r = x + 1; m = z + 2; q = c + 5; y = s + 20; g = r + 20; u = m + 6; h = g + 8; n = c + 3; o = q + 6. If c = 9, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 52,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = r + 20 to h, which gives h = r + 28.\n2. Substitute r = x + 1 to h, which gives h = x + 29.\n3. Substitute x = o + 3 to h, which gives h = o + 32.\n4. Substitute o = q + 6 to h, which gives h = q + 38.\n5. Substitute q = c + 5 to h, which gives h = c + 43.\n6. Substitute c = 9 to h, which gives h = 52.\n\nThus, the final answer is h = \\boxed{52}.",
"index": 23957,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = y + 3; c = 9; x = o + 3; s = n + 11; r = x + 1; m = z + 2; q = c + 5; y = s + 20; g = r + 20; u = m + 6; h = g + 8; n = c + 3; o = q + 6. If c = 9, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"u": "z + 5", "t": "u + 13", "d": "t + 18", "f": "d + 4", "s": "f + 11", "v": "s + 11", "j": "z + 3", "w": "j + 8", "l": "w + 19", "g": "l + 13", "m": "g + 16", "x": "m + 9", "z": 15}, "premises": {"z": 15}, "target": "v"}, "answer": {"steps": [["s", "f + 11", "f + 22"], ["f", "d + 4", "d + 26"], ["d", "t + 18", "t + 44"], ["t", "u + 13", "u + 57"], ["u", "z + 5", "z + 62"], ["z", 15, "77"]], "target_var_name": "v", "target_value": 77, "value_dict": {"z": 15}, "is_reverse": true}}
| 23,958
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = g + 16; l = w + 19; g = l + 13; f = d + 4; v = s + 11; u = z + 5; t = u + 13; z = 15; d = t + 18; x = m + 9; s = f + 11; w = j + 8; j = z + 3. If z = 15, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = f + 11 to v, which gives v = f + 22.\n2. Substitute f = d + 4 to v, which gives v = d + 26.\n3. Substitute d = t + 18 to v, which gives v = t + 44.\n4. Substitute t = u + 13 to v, which gives v = u + 57.\n5. Substitute u = z + 5 to v, which gives v = z + 62.\n6. Substitute z = 15 to v, which gives v = 77.\n\nThus, the final answer is v = \\boxed{77}.",
"index": 23958,
"question": "Consider a system of variables where each variable is defined as follows: m = g + 16; l = w + 19; g = l + 13; f = d + 4; v = s + 11; u = z + 5; t = u + 13; z = 15; d = t + 18; x = m + 9; s = f + 11; w = j + 8; j = z + 3. If z = 15, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"i": "g + 3", "u": "i + 6", "a": "u + 17", "c": "a + 10", "k": "c + 8", "f": "k + 15", "v": "g + 1", "t": "v + 11", "m": "t + 15", "y": "m + 12", "h": "y + 13", "r": "h + 3", "g": 19}, "premises": {"g": 19}, "target": "f"}, "answer": {"steps": [["k", "c + 8", "c + 23"], ["c", "a + 10", "a + 33"], ["a", "u + 17", "u + 50"], ["u", "i + 6", "i + 56"], ["i", "g + 3", "g + 59"], ["g", 19, "78"]], "target_var_name": "f", "target_value": 78, "value_dict": {"g": 19}, "is_reverse": true}}
| 23,959
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = g + 3; g = 19; y = m + 12; r = h + 3; c = a + 10; t = v + 11; h = y + 13; u = i + 6; v = g + 1; k = c + 8; a = u + 17; m = t + 15; f = k + 15. If g = 19, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = c + 8 to f, which gives f = c + 23.\n2. Substitute c = a + 10 to f, which gives f = a + 33.\n3. Substitute a = u + 17 to f, which gives f = u + 50.\n4. Substitute u = i + 6 to f, which gives f = i + 56.\n5. Substitute i = g + 3 to f, which gives f = g + 59.\n6. Substitute g = 19 to f, which gives f = 78.\n\nThus, the final answer is f = \\boxed{78}.",
"index": 23959,
"question": "Consider a system of variables where each variable is defined as follows: i = g + 3; g = 19; y = m + 12; r = h + 3; c = a + 10; t = v + 11; h = y + 13; u = i + 6; v = g + 1; k = c + 8; a = u + 17; m = t + 15; f = k + 15. If g = 19, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"t": "l + 16", "s": "t + 6", "m": "s + 20", "u": "m + 8", "x": "u + 10", "i": "x + 16", "z": "l + 6", "o": "z + 7", "d": "o + 2", "r": "d + 19", "n": "r + 11", "v": "n + 7", "l": 19}, "premises": {"l": 19}, "target": "i"}, "answer": {"steps": [["x", "u + 10", "u + 26"], ["u", "m + 8", "m + 34"], ["m", "s + 20", "s + 54"], ["s", "t + 6", "t + 60"], ["t", "l + 16", "l + 76"], ["l", 19, "95"]], "target_var_name": "i", "target_value": 95, "value_dict": {"l": 19}, "is_reverse": true}}
| 23,960
| 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 = x + 16; n = r + 11; x = u + 10; s = t + 6; v = n + 7; o = z + 7; d = o + 2; m = s + 20; z = l + 6; t = l + 16; l = 19; u = m + 8; r = d + 19. If l = 19, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = u + 10 to i, which gives i = u + 26.\n2. Substitute u = m + 8 to i, which gives i = m + 34.\n3. Substitute m = s + 20 to i, which gives i = s + 54.\n4. Substitute s = t + 6 to i, which gives i = t + 60.\n5. Substitute t = l + 16 to i, which gives i = l + 76.\n6. Substitute l = 19 to i, which gives i = 95.\n\nThus, the final answer is i = \\boxed{95}.",
"index": 23960,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = x + 16; n = r + 11; x = u + 10; s = t + 6; v = n + 7; o = z + 7; d = o + 2; m = s + 20; z = l + 6; t = l + 16; l = 19; u = m + 8; r = d + 19. If l = 19, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"m": "o + 12", "j": "m + 18", "f": "j + 3", "a": "f + 12", "s": "a + 17", "v": "s + 2", "y": "o + 6", "p": "y + 13", "u": "p + 19", "d": "u + 4", "x": "d + 16", "g": "x + 1", "o": 20}, "premises": {"o": 20}, "target": "v"}, "answer": {"steps": [["s", "a + 17", "a + 19"], ["a", "f + 12", "f + 31"], ["f", "j + 3", "j + 34"], ["j", "m + 18", "m + 52"], ["m", "o + 12", "o + 64"], ["o", 20, "84"]], "target_var_name": "v", "target_value": 84, "value_dict": {"o": 20}, "is_reverse": true}}
| 23,961
| 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 = x + 1; s = a + 17; v = s + 2; o = 20; f = j + 3; x = d + 16; y = o + 6; d = u + 4; a = f + 12; m = o + 12; u = p + 19; p = y + 13; j = m + 18. If o = 20, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = a + 17 to v, which gives v = a + 19.\n2. Substitute a = f + 12 to v, which gives v = f + 31.\n3. Substitute f = j + 3 to v, which gives v = j + 34.\n4. Substitute j = m + 18 to v, which gives v = m + 52.\n5. Substitute m = o + 12 to v, which gives v = o + 64.\n6. Substitute o = 20 to v, which gives v = 84.\n\nThus, the final answer is v = \\boxed{84}.",
"index": 23961,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = x + 1; s = a + 17; v = s + 2; o = 20; f = j + 3; x = d + 16; y = o + 6; d = u + 4; a = f + 12; m = o + 12; u = p + 19; p = y + 13; j = m + 18. If o = 20, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"r": "l + 13", "o": "r + 13", "y": "o + 18", "m": "y + 9", "s": "m + 5", "b": "s + 1", "a": "l + 18", "x": "a + 5", "g": "x + 3", "f": "g + 10", "t": "f + 3", "j": "t + 12", "l": 11}, "premises": {"l": 11}, "target": "b"}, "answer": {"steps": [["s", "m + 5", "m + 6"], ["m", "y + 9", "y + 15"], ["y", "o + 18", "o + 33"], ["o", "r + 13", "r + 46"], ["r", "l + 13", "l + 59"], ["l", 11, "70"]], "target_var_name": "b", "target_value": 70, "value_dict": {"l": 11}, "is_reverse": true}}
| 23,962
| 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 = l + 13; x = a + 5; s = m + 5; a = l + 18; t = f + 3; f = g + 10; j = t + 12; o = r + 13; y = o + 18; b = s + 1; m = y + 9; g = x + 3; l = 11. If l = 11, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = m + 5 to b, which gives b = m + 6.\n2. Substitute m = y + 9 to b, which gives b = y + 15.\n3. Substitute y = o + 18 to b, which gives b = o + 33.\n4. Substitute o = r + 13 to b, which gives b = r + 46.\n5. Substitute r = l + 13 to b, which gives b = l + 59.\n6. Substitute l = 11 to b, which gives b = 70.\n\nThus, the final answer is b = \\boxed{70}.",
"index": 23962,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = l + 13; x = a + 5; s = m + 5; a = l + 18; t = f + 3; f = g + 10; j = t + 12; o = r + 13; y = o + 18; b = s + 1; m = y + 9; g = x + 3; l = 11. If l = 11, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"x": "b + 3", "u": "x + 12", "o": "u + 8", "q": "o + 7", "k": "q + 14", "r": "k + 7", "p": "b + 10", "g": "p + 20", "s": "g + 1", "e": "s + 5", "m": "e + 1", "z": "m + 8", "b": 7}, "premises": {"b": 7}, "target": "r"}, "answer": {"steps": [["k", "q + 14", "q + 21"], ["q", "o + 7", "o + 28"], ["o", "u + 8", "u + 36"], ["u", "x + 12", "x + 48"], ["x", "b + 3", "b + 51"], ["b", 7, "58"]], "target_var_name": "r", "target_value": 58, "value_dict": {"b": 7}, "is_reverse": true}}
| 23,963
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = x + 12; e = s + 5; g = p + 20; k = q + 14; z = m + 8; r = k + 7; q = o + 7; b = 7; o = u + 8; m = e + 1; p = b + 10; s = g + 1; x = b + 3. Given that b = 7, find the 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 k = q + 14 to r, which gives r = q + 21.\n2. Substitute q = o + 7 to r, which gives r = o + 28.\n3. Substitute o = u + 8 to r, which gives r = u + 36.\n4. Substitute u = x + 12 to r, which gives r = x + 48.\n5. Substitute x = b + 3 to r, which gives r = b + 51.\n6. Substitute b = 7 to r, which gives r = 58.\n\nThus, the final answer is r = \\boxed{58}.",
"index": 23963,
"question": "Suppose a collection of variables is related by the following definitions: u = x + 12; e = s + 5; g = p + 20; k = q + 14; z = m + 8; r = k + 7; q = o + 7; b = 7; o = u + 8; m = e + 1; p = b + 10; s = g + 1; x = b + 3. Given that b = 7, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"x": "q + 8", "b": "x + 11", "j": "b + 1", "n": "j + 11", "p": "n + 4", "g": "p + 8", "h": "q + 1", "y": "h + 20", "w": "y + 18", "d": "w + 5", "s": "d + 8", "l": "s + 6", "q": 5}, "premises": {"q": 5}, "target": "g"}, "answer": {"steps": [["p", "n + 4", "n + 12"], ["n", "j + 11", "j + 23"], ["j", "b + 1", "b + 24"], ["b", "x + 11", "x + 35"], ["x", "q + 8", "q + 43"], ["q", 5, "48"]], "target_var_name": "g", "target_value": 48, "value_dict": {"q": 5}, "is_reverse": true}}
| 23,964
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = q + 1; p = n + 4; l = s + 6; g = p + 8; b = x + 11; x = q + 8; d = w + 5; n = j + 11; j = b + 1; w = y + 18; y = h + 20; s = d + 8; q = 5. Given that q = 5, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 48,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = n + 4 to g, which gives g = n + 12.\n2. Substitute n = j + 11 to g, which gives g = j + 23.\n3. Substitute j = b + 1 to g, which gives g = b + 24.\n4. Substitute b = x + 11 to g, which gives g = x + 35.\n5. Substitute x = q + 8 to g, which gives g = q + 43.\n6. Substitute q = 5 to g, which gives g = 48.\n\nThus, the final answer is g = \\boxed{48}.",
"index": 23964,
"question": "Suppose a collection of variables is related by the following definitions: h = q + 1; p = n + 4; l = s + 6; g = p + 8; b = x + 11; x = q + 8; d = w + 5; n = j + 11; j = b + 1; w = y + 18; y = h + 20; s = d + 8; q = 5. Given that q = 5, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"e": "z + 5", "w": "e + 9", "q": "w + 5", "o": "q + 12", "g": "o + 11", "y": "g + 1", "i": "z + 16", "m": "i + 8", "a": "m + 15", "p": "a + 14", "f": "p + 18", "v": "f + 10", "z": 13}, "premises": {"z": 13}, "target": "y"}, "answer": {"steps": [["g", "o + 11", "o + 12"], ["o", "q + 12", "q + 24"], ["q", "w + 5", "w + 29"], ["w", "e + 9", "e + 38"], ["e", "z + 5", "z + 43"], ["z", 13, "56"]], "target_var_name": "y", "target_value": 56, "value_dict": {"z": 13}, "is_reverse": true}}
| 23,965
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = a + 14; v = f + 10; f = p + 18; z = 13; m = i + 8; w = e + 9; y = g + 1; o = q + 12; i = z + 16; e = z + 5; g = o + 11; q = w + 5; a = m + 15. If z = 13, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = o + 11 to y, which gives y = o + 12.\n2. Substitute o = q + 12 to y, which gives y = q + 24.\n3. Substitute q = w + 5 to y, which gives y = w + 29.\n4. Substitute w = e + 9 to y, which gives y = e + 38.\n5. Substitute e = z + 5 to y, which gives y = z + 43.\n6. Substitute z = 13 to y, which gives y = 56.\n\nThus, the final answer is y = \\boxed{56}.",
"index": 23965,
"question": "Consider a system of variables where each variable is defined as follows: p = a + 14; v = f + 10; f = p + 18; z = 13; m = i + 8; w = e + 9; y = g + 1; o = q + 12; i = z + 16; e = z + 5; g = o + 11; q = w + 5; a = m + 15. If z = 13, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"r": "p + 1", "i": "r + 18", "m": "i + 13", "a": "m + 5", "t": "a + 9", "e": "t + 20", "f": "p + 15", "j": "f + 15", "u": "j + 3", "k": "u + 4", "c": "k + 15", "l": "c + 13", "p": 12}, "premises": {"p": 12}, "target": "e"}, "answer": {"steps": [["t", "a + 9", "a + 29"], ["a", "m + 5", "m + 34"], ["m", "i + 13", "i + 47"], ["i", "r + 18", "r + 65"], ["r", "p + 1", "p + 66"], ["p", 12, "78"]], "target_var_name": "e", "target_value": 78, "value_dict": {"p": 12}, "is_reverse": true}}
| 23,966
| 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 = r + 18; t = a + 9; a = m + 5; m = i + 13; u = j + 3; e = t + 20; k = u + 4; r = p + 1; j = f + 15; f = p + 15; p = 12; c = k + 15; l = c + 13. If p = 12, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = a + 9 to e, which gives e = a + 29.\n2. Substitute a = m + 5 to e, which gives e = m + 34.\n3. Substitute m = i + 13 to e, which gives e = i + 47.\n4. Substitute i = r + 18 to e, which gives e = r + 65.\n5. Substitute r = p + 1 to e, which gives e = p + 66.\n6. Substitute p = 12 to e, which gives e = 78.\n\nThus, the final answer is e = \\boxed{78}.",
"index": 23966,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = r + 18; t = a + 9; a = m + 5; m = i + 13; u = j + 3; e = t + 20; k = u + 4; r = p + 1; j = f + 15; f = p + 15; p = 12; c = k + 15; l = c + 13. If p = 12, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"j": "d + 20", "u": "j + 1", "v": "u + 18", "x": "v + 12", "z": "x + 7", "s": "z + 1", "c": "d + 4", "w": "c + 15", "a": "w + 16", "o": "a + 4", "h": "o + 12", "y": "h + 8", "d": 19}, "premises": {"d": 19}, "target": "s"}, "answer": {"steps": [["z", "x + 7", "x + 8"], ["x", "v + 12", "v + 20"], ["v", "u + 18", "u + 38"], ["u", "j + 1", "j + 39"], ["j", "d + 20", "d + 59"], ["d", 19, "78"]], "target_var_name": "s", "target_value": 78, "value_dict": {"d": 19}, "is_reverse": true}}
| 23,967
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = c + 15; u = j + 1; s = z + 1; j = d + 20; y = h + 8; v = u + 18; h = o + 12; a = w + 16; z = x + 7; d = 19; o = a + 4; c = d + 4; x = v + 12. Given that d = 19, 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 z = x + 7 to s, which gives s = x + 8.\n2. Substitute x = v + 12 to s, which gives s = v + 20.\n3. Substitute v = u + 18 to s, which gives s = u + 38.\n4. Substitute u = j + 1 to s, which gives s = j + 39.\n5. Substitute j = d + 20 to s, which gives s = d + 59.\n6. Substitute d = 19 to s, which gives s = 78.\n\nThus, the final answer is s = \\boxed{78}.",
"index": 23967,
"question": "Suppose a collection of variables is related by the following definitions: w = c + 15; u = j + 1; s = z + 1; j = d + 20; y = h + 8; v = u + 18; h = o + 12; a = w + 16; z = x + 7; d = 19; o = a + 4; c = d + 4; x = v + 12. Given that d = 19, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"p": "n + 15", "g": "p + 11", "z": "g + 7", "h": "z + 11", "k": "h + 18", "c": "k + 14", "l": "n + 10", "a": "l + 3", "r": "a + 3", "q": "r + 5", "d": "q + 19", "o": "d + 11", "n": 10}, "premises": {"n": 10}, "target": "c"}, "answer": {"steps": [["k", "h + 18", "h + 32"], ["h", "z + 11", "z + 43"], ["z", "g + 7", "g + 50"], ["g", "p + 11", "p + 61"], ["p", "n + 15", "n + 76"], ["n", 10, "86"]], "target_var_name": "c", "target_value": 86, "value_dict": {"n": 10}, "is_reverse": true}}
| 23,968
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = n + 15; q = r + 5; g = p + 11; n = 10; l = n + 10; o = d + 11; a = l + 3; r = a + 3; h = z + 11; d = q + 19; z = g + 7; c = k + 14; k = h + 18. If n = 10, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = h + 18 to c, which gives c = h + 32.\n2. Substitute h = z + 11 to c, which gives c = z + 43.\n3. Substitute z = g + 7 to c, which gives c = g + 50.\n4. Substitute g = p + 11 to c, which gives c = p + 61.\n5. Substitute p = n + 15 to c, which gives c = n + 76.\n6. Substitute n = 10 to c, which gives c = 86.\n\nThus, the final answer is c = \\boxed{86}.",
"index": 23968,
"question": "Consider a system of variables where each variable is defined as follows: p = n + 15; q = r + 5; g = p + 11; n = 10; l = n + 10; o = d + 11; a = l + 3; r = a + 3; h = z + 11; d = q + 19; z = g + 7; c = k + 14; k = h + 18. If n = 10, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"h": "y + 3", "j": "h + 5", "z": "j + 6", "v": "z + 8", "p": "v + 17", "a": "p + 14", "g": "y + 17", "u": "g + 8", "x": "u + 16", "n": "x + 14", "s": "n + 12", "m": "s + 5", "y": 19}, "premises": {"y": 19}, "target": "a"}, "answer": {"steps": [["p", "v + 17", "v + 31"], ["v", "z + 8", "z + 39"], ["z", "j + 6", "j + 45"], ["j", "h + 5", "h + 50"], ["h", "y + 3", "y + 53"], ["y", 19, "72"]], "target_var_name": "a", "target_value": 72, "value_dict": {"y": 19}, "is_reverse": true}}
| 23,969
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = y + 17; a = p + 14; p = v + 17; x = u + 16; v = z + 8; u = g + 8; s = n + 12; z = j + 6; n = x + 14; j = h + 5; y = 19; m = s + 5; h = y + 3. If y = 19, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = v + 17 to a, which gives a = v + 31.\n2. Substitute v = z + 8 to a, which gives a = z + 39.\n3. Substitute z = j + 6 to a, which gives a = j + 45.\n4. Substitute j = h + 5 to a, which gives a = h + 50.\n5. Substitute h = y + 3 to a, which gives a = y + 53.\n6. Substitute y = 19 to a, which gives a = 72.\n\nThus, the final answer is a = \\boxed{72}.",
"index": 23969,
"question": "Consider a system of variables where each variable is defined as follows: g = y + 17; a = p + 14; p = v + 17; x = u + 16; v = z + 8; u = g + 8; s = n + 12; z = j + 6; n = x + 14; j = h + 5; y = 19; m = s + 5; h = y + 3. If y = 19, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"s": "y + 6", "g": "s + 10", "p": "g + 16", "d": "p + 16", "w": "d + 10", "u": "w + 14", "k": "y + 5", "q": "k + 18", "r": "q + 11", "l": "r + 1", "f": "l + 16", "t": "f + 3", "y": 9}, "premises": {"y": 9}, "target": "u"}, "answer": {"steps": [["w", "d + 10", "d + 24"], ["d", "p + 16", "p + 40"], ["p", "g + 16", "g + 56"], ["g", "s + 10", "s + 66"], ["s", "y + 6", "y + 72"], ["y", 9, "81"]], "target_var_name": "u", "target_value": 81, "value_dict": {"y": 9}, "is_reverse": true}}
| 23,970
| 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 = w + 14; w = d + 10; d = p + 16; g = s + 10; y = 9; f = l + 16; q = k + 18; k = y + 5; t = f + 3; s = y + 6; p = g + 16; l = r + 1; r = q + 11. If y = 9, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = d + 10 to u, which gives u = d + 24.\n2. Substitute d = p + 16 to u, which gives u = p + 40.\n3. Substitute p = g + 16 to u, which gives u = g + 56.\n4. Substitute g = s + 10 to u, which gives u = s + 66.\n5. Substitute s = y + 6 to u, which gives u = y + 72.\n6. Substitute y = 9 to u, which gives u = 81.\n\nThus, the final answer is u = \\boxed{81}.",
"index": 23970,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = w + 14; w = d + 10; d = p + 16; g = s + 10; y = 9; f = l + 16; q = k + 18; k = y + 5; t = f + 3; s = y + 6; p = g + 16; l = r + 1; r = q + 11. If y = 9, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"b": "h + 1", "n": "b + 11", "e": "n + 8", "v": "e + 13", "c": "v + 18", "f": "c + 1", "l": "h + 14", "t": "l + 17", "z": "t + 10", "i": "z + 1", "o": "i + 12", "m": "o + 8", "h": 11}, "premises": {"h": 11}, "target": "f"}, "answer": {"steps": [["c", "v + 18", "v + 19"], ["v", "e + 13", "e + 32"], ["e", "n + 8", "n + 40"], ["n", "b + 11", "b + 51"], ["b", "h + 1", "h + 52"], ["h", 11, "63"]], "target_var_name": "f", "target_value": 63, "value_dict": {"h": 11}, "is_reverse": true}}
| 23,971
| 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 = h + 14; e = n + 8; m = o + 8; n = b + 11; f = c + 1; c = v + 18; i = z + 1; o = i + 12; z = t + 10; t = l + 17; v = e + 13; b = h + 1; h = 11. If h = 11, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = v + 18 to f, which gives f = v + 19.\n2. Substitute v = e + 13 to f, which gives f = e + 32.\n3. Substitute e = n + 8 to f, which gives f = n + 40.\n4. Substitute n = b + 11 to f, which gives f = b + 51.\n5. Substitute b = h + 1 to f, which gives f = h + 52.\n6. Substitute h = 11 to f, which gives f = 63.\n\nThus, the final answer is f = \\boxed{63}.",
"index": 23971,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = h + 14; e = n + 8; m = o + 8; n = b + 11; f = c + 1; c = v + 18; i = z + 1; o = i + 12; z = t + 10; t = l + 17; v = e + 13; b = h + 1; h = 11. If h = 11, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"z": "m + 7", "p": "z + 13", "j": "p + 11", "c": "j + 2", "b": "c + 2", "y": "b + 17", "l": "m + 1", "x": "l + 12", "r": "x + 10", "s": "r + 8", "v": "s + 20", "t": "v + 20", "m": 15}, "premises": {"m": 15}, "target": "y"}, "answer": {"steps": [["b", "c + 2", "c + 19"], ["c", "j + 2", "j + 21"], ["j", "p + 11", "p + 32"], ["p", "z + 13", "z + 45"], ["z", "m + 7", "m + 52"], ["m", 15, "67"]], "target_var_name": "y", "target_value": 67, "value_dict": {"m": 15}, "is_reverse": true}}
| 23,972
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = m + 7; r = x + 10; p = z + 13; s = r + 8; l = m + 1; y = b + 17; j = p + 11; t = v + 20; v = s + 20; m = 15; x = l + 12; c = j + 2; b = c + 2. Given that m = 15, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = c + 2 to y, which gives y = c + 19.\n2. Substitute c = j + 2 to y, which gives y = j + 21.\n3. Substitute j = p + 11 to y, which gives y = p + 32.\n4. Substitute p = z + 13 to y, which gives y = z + 45.\n5. Substitute z = m + 7 to y, which gives y = m + 52.\n6. Substitute m = 15 to y, which gives y = 67.\n\nThus, the final answer is y = \\boxed{67}.",
"index": 23972,
"question": "Suppose a collection of variables is related by the following definitions: z = m + 7; r = x + 10; p = z + 13; s = r + 8; l = m + 1; y = b + 17; j = p + 11; t = v + 20; v = s + 20; m = 15; x = l + 12; c = j + 2; b = c + 2. Given that m = 15, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"y": "w + 19", "h": "y + 11", "e": "h + 18", "m": "e + 2", "o": "m + 5", "j": "o + 5", "l": "w + 3", "d": "l + 19", "p": "d + 1", "s": "p + 15", "t": "s + 6", "r": "t + 10", "w": 8}, "premises": {"w": 8}, "target": "j"}, "answer": {"steps": [["o", "m + 5", "m + 10"], ["m", "e + 2", "e + 12"], ["e", "h + 18", "h + 30"], ["h", "y + 11", "y + 41"], ["y", "w + 19", "w + 60"], ["w", 8, "68"]], "target_var_name": "j", "target_value": 68, "value_dict": {"w": 8}, "is_reverse": true}}
| 23,973
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = w + 3; j = o + 5; h = y + 11; w = 8; s = p + 15; t = s + 6; m = e + 2; d = l + 19; y = w + 19; o = m + 5; r = t + 10; e = h + 18; p = d + 1. Given that w = 8, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = m + 5 to j, which gives j = m + 10.\n2. Substitute m = e + 2 to j, which gives j = e + 12.\n3. Substitute e = h + 18 to j, which gives j = h + 30.\n4. Substitute h = y + 11 to j, which gives j = y + 41.\n5. Substitute y = w + 19 to j, which gives j = w + 60.\n6. Substitute w = 8 to j, which gives j = 68.\n\nThus, the final answer is j = \\boxed{68}.",
"index": 23973,
"question": "Suppose a collection of variables is related by the following definitions: l = w + 3; j = o + 5; h = y + 11; w = 8; s = p + 15; t = s + 6; m = e + 2; d = l + 19; y = w + 19; o = m + 5; r = t + 10; e = h + 18; p = d + 1. Given that w = 8, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"z": "b + 18", "t": "z + 1", "o": "t + 11", "x": "o + 7", "k": "x + 17", "e": "k + 1", "r": "b + 8", "p": "r + 1", "l": "p + 20", "d": "l + 4", "s": "d + 7", "c": "s + 5", "b": 6}, "premises": {"b": 6}, "target": "e"}, "answer": {"steps": [["k", "x + 17", "x + 18"], ["x", "o + 7", "o + 25"], ["o", "t + 11", "t + 36"], ["t", "z + 1", "z + 37"], ["z", "b + 18", "b + 55"], ["b", 6, "61"]], "target_var_name": "e", "target_value": 61, "value_dict": {"b": 6}, "is_reverse": true}}
| 23,974
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = b + 18; b = 6; l = p + 20; c = s + 5; r = b + 8; k = x + 17; s = d + 7; x = o + 7; p = r + 1; d = l + 4; e = k + 1; o = t + 11; t = z + 1. If b = 6, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = x + 17 to e, which gives e = x + 18.\n2. Substitute x = o + 7 to e, which gives e = o + 25.\n3. Substitute o = t + 11 to e, which gives e = t + 36.\n4. Substitute t = z + 1 to e, which gives e = z + 37.\n5. Substitute z = b + 18 to e, which gives e = b + 55.\n6. Substitute b = 6 to e, which gives e = 61.\n\nThus, the final answer is e = \\boxed{61}.",
"index": 23974,
"question": "Consider a system of variables where each variable is defined as follows: z = b + 18; b = 6; l = p + 20; c = s + 5; r = b + 8; k = x + 17; s = d + 7; x = o + 7; p = r + 1; d = l + 4; e = k + 1; o = t + 11; t = z + 1. If b = 6, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"s": "b + 3", "o": "s + 3", "i": "o + 20", "u": "i + 13", "w": "u + 20", "v": "w + 19", "f": "b + 4", "y": "f + 19", "k": "y + 15", "m": "k + 18", "p": "m + 6", "r": "p + 3", "b": 14}, "premises": {"b": 14}, "target": "v"}, "answer": {"steps": [["w", "u + 20", "u + 39"], ["u", "i + 13", "i + 52"], ["i", "o + 20", "o + 72"], ["o", "s + 3", "s + 75"], ["s", "b + 3", "b + 78"], ["b", 14, "92"]], "target_var_name": "v", "target_value": 92, "value_dict": {"b": 14}, "is_reverse": true}}
| 23,975
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = b + 3; v = w + 19; y = f + 19; m = k + 18; b = 14; p = m + 6; w = u + 20; r = p + 3; o = s + 3; f = b + 4; i = o + 20; k = y + 15; u = i + 13. Given that b = 14, find the 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 w = u + 20 to v, which gives v = u + 39.\n2. Substitute u = i + 13 to v, which gives v = i + 52.\n3. Substitute i = o + 20 to v, which gives v = o + 72.\n4. Substitute o = s + 3 to v, which gives v = s + 75.\n5. Substitute s = b + 3 to v, which gives v = b + 78.\n6. Substitute b = 14 to v, which gives v = 92.\n\nThus, the final answer is v = \\boxed{92}.",
"index": 23975,
"question": "Suppose a collection of variables is related by the following definitions: s = b + 3; v = w + 19; y = f + 19; m = k + 18; b = 14; p = m + 6; w = u + 20; r = p + 3; o = s + 3; f = b + 4; i = o + 20; k = y + 15; u = i + 13. Given that b = 14, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"b": "g + 11", "z": "b + 8", "m": "z + 18", "r": "m + 7", "d": "r + 1", "x": "d + 4", "k": "g + 6", "p": "k + 1", "h": "p + 8", "o": "h + 4", "j": "o + 19", "c": "j + 19", "g": 4}, "premises": {"g": 4}, "target": "x"}, "answer": {"steps": [["d", "r + 1", "r + 5"], ["r", "m + 7", "m + 12"], ["m", "z + 18", "z + 30"], ["z", "b + 8", "b + 38"], ["b", "g + 11", "g + 49"], ["g", 4, "53"]], "target_var_name": "x", "target_value": 53, "value_dict": {"g": 4}, "is_reverse": true}}
| 23,976
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = k + 1; m = z + 18; k = g + 6; h = p + 8; c = j + 19; j = o + 19; b = g + 11; o = h + 4; r = m + 7; z = b + 8; x = d + 4; d = r + 1; g = 4. If g = 4, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = r + 1 to x, which gives x = r + 5.\n2. Substitute r = m + 7 to x, which gives x = m + 12.\n3. Substitute m = z + 18 to x, which gives x = z + 30.\n4. Substitute z = b + 8 to x, which gives x = b + 38.\n5. Substitute b = g + 11 to x, which gives x = g + 49.\n6. Substitute g = 4 to x, which gives x = 53.\n\nThus, the final answer is x = \\boxed{53}.",
"index": 23976,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = k + 1; m = z + 18; k = g + 6; h = p + 8; c = j + 19; j = o + 19; b = g + 11; o = h + 4; r = m + 7; z = b + 8; x = d + 4; d = r + 1; g = 4. If g = 4, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"m": "l + 5", "p": "m + 17", "b": "p + 13", "r": "b + 8", "c": "r + 14", "x": "c + 10", "t": "l + 13", "g": "t + 20", "e": "g + 15", "f": "e + 16", "q": "f + 8", "o": "q + 2", "l": 17}, "premises": {"l": 17}, "target": "x"}, "answer": {"steps": [["c", "r + 14", "r + 24"], ["r", "b + 8", "b + 32"], ["b", "p + 13", "p + 45"], ["p", "m + 17", "m + 62"], ["m", "l + 5", "l + 67"], ["l", 17, "84"]], "target_var_name": "x", "target_value": 84, "value_dict": {"l": 17}, "is_reverse": true}}
| 23,977
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = l + 5; p = m + 17; b = p + 13; t = l + 13; q = f + 8; x = c + 10; o = q + 2; g = t + 20; r = b + 8; f = e + 16; e = g + 15; l = 17; c = r + 14. If l = 17, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = r + 14 to x, which gives x = r + 24.\n2. Substitute r = b + 8 to x, which gives x = b + 32.\n3. Substitute b = p + 13 to x, which gives x = p + 45.\n4. Substitute p = m + 17 to x, which gives x = m + 62.\n5. Substitute m = l + 5 to x, which gives x = l + 67.\n6. Substitute l = 17 to x, which gives x = 84.\n\nThus, the final answer is x = \\boxed{84}.",
"index": 23977,
"question": "Consider a system of variables where each variable is defined as follows: m = l + 5; p = m + 17; b = p + 13; t = l + 13; q = f + 8; x = c + 10; o = q + 2; g = t + 20; r = b + 8; f = e + 16; e = g + 15; l = 17; c = r + 14. If l = 17, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"w": "e + 13", "g": "w + 1", "f": "g + 2", "m": "f + 5", "x": "m + 3", "o": "x + 2", "d": "e + 1", "p": "d + 14", "t": "p + 8", "s": "t + 15", "n": "s + 14", "c": "n + 9", "e": 7}, "premises": {"e": 7}, "target": "o"}, "answer": {"steps": [["x", "m + 3", "m + 5"], ["m", "f + 5", "f + 10"], ["f", "g + 2", "g + 12"], ["g", "w + 1", "w + 13"], ["w", "e + 13", "e + 26"], ["e", 7, "33"]], "target_var_name": "o", "target_value": 33, "value_dict": {"e": 7}, "is_reverse": true}}
| 23,978
| 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 + 8; x = m + 3; e = 7; p = d + 14; n = s + 14; d = e + 1; f = g + 2; o = x + 2; m = f + 5; c = n + 9; s = t + 15; g = w + 1; w = e + 13. If e = 7, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 33,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = m + 3 to o, which gives o = m + 5.\n2. Substitute m = f + 5 to o, which gives o = f + 10.\n3. Substitute f = g + 2 to o, which gives o = g + 12.\n4. Substitute g = w + 1 to o, which gives o = w + 13.\n5. Substitute w = e + 13 to o, which gives o = e + 26.\n6. Substitute e = 7 to o, which gives o = 33.\n\nThus, the final answer is o = \\boxed{33}.",
"index": 23978,
"question": "Consider a system of variables where each variable is defined as follows: t = p + 8; x = m + 3; e = 7; p = d + 14; n = s + 14; d = e + 1; f = g + 2; o = x + 2; m = f + 5; c = n + 9; s = t + 15; g = w + 1; w = e + 13. If e = 7, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"b": "o + 3", "n": "b + 7", "a": "n + 18", "l": "a + 15", "d": "l + 14", "i": "d + 8", "t": "o + 14", "c": "t + 10", "y": "c + 15", "w": "y + 16", "u": "w + 4", "s": "u + 5", "o": 5}, "premises": {"o": 5}, "target": "i"}, "answer": {"steps": [["d", "l + 14", "l + 22"], ["l", "a + 15", "a + 37"], ["a", "n + 18", "n + 55"], ["n", "b + 7", "b + 62"], ["b", "o + 3", "o + 65"], ["o", 5, "70"]], "target_var_name": "i", "target_value": 70, "value_dict": {"o": 5}, "is_reverse": true}}
| 23,979
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = y + 16; y = c + 15; n = b + 7; d = l + 14; a = n + 18; i = d + 8; c = t + 10; u = w + 4; o = 5; t = o + 14; b = o + 3; l = a + 15; s = u + 5. Given that o = 5, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = l + 14 to i, which gives i = l + 22.\n2. Substitute l = a + 15 to i, which gives i = a + 37.\n3. Substitute a = n + 18 to i, which gives i = n + 55.\n4. Substitute n = b + 7 to i, which gives i = b + 62.\n5. Substitute b = o + 3 to i, which gives i = o + 65.\n6. Substitute o = 5 to i, which gives i = 70.\n\nThus, the final answer is i = \\boxed{70}.",
"index": 23979,
"question": "Suppose a collection of variables is related by the following definitions: w = y + 16; y = c + 15; n = b + 7; d = l + 14; a = n + 18; i = d + 8; c = t + 10; u = w + 4; o = 5; t = o + 14; b = o + 3; l = a + 15; s = u + 5. Given that o = 5, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"z": "q + 9", "d": "z + 5", "x": "d + 17", "n": "x + 4", "y": "n + 2", "t": "y + 13", "o": "q + 12", "w": "o + 5", "f": "w + 20", "g": "f + 20", "a": "g + 18", "c": "a + 13", "q": 15}, "premises": {"q": 15}, "target": "t"}, "answer": {"steps": [["y", "n + 2", "n + 15"], ["n", "x + 4", "x + 19"], ["x", "d + 17", "d + 36"], ["d", "z + 5", "z + 41"], ["z", "q + 9", "q + 50"], ["q", 15, "65"]], "target_var_name": "t", "target_value": 65, "value_dict": {"q": 15}, "is_reverse": true}}
| 23,980
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = x + 4; d = z + 5; w = o + 5; a = g + 18; y = n + 2; c = a + 13; z = q + 9; x = d + 17; f = w + 20; q = 15; t = y + 13; g = f + 20; o = q + 12. Given that q = 15, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = n + 2 to t, which gives t = n + 15.\n2. Substitute n = x + 4 to t, which gives t = x + 19.\n3. Substitute x = d + 17 to t, which gives t = d + 36.\n4. Substitute d = z + 5 to t, which gives t = z + 41.\n5. Substitute z = q + 9 to t, which gives t = q + 50.\n6. Substitute q = 15 to t, which gives t = 65.\n\nThus, the final answer is t = \\boxed{65}.",
"index": 23980,
"question": "Suppose a collection of variables is related by the following definitions: n = x + 4; d = z + 5; w = o + 5; a = g + 18; y = n + 2; c = a + 13; z = q + 9; x = d + 17; f = w + 20; q = 15; t = y + 13; g = f + 20; o = q + 12. Given that q = 15, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"i": "h + 2", "p": "i + 13", "x": "p + 8", "r": "x + 8", "l": "r + 19", "y": "l + 9", "n": "h + 8", "s": "n + 18", "d": "s + 16", "k": "d + 3", "f": "k + 14", "a": "f + 16", "h": 6}, "premises": {"h": 6}, "target": "y"}, "answer": {"steps": [["l", "r + 19", "r + 28"], ["r", "x + 8", "x + 36"], ["x", "p + 8", "p + 44"], ["p", "i + 13", "i + 57"], ["i", "h + 2", "h + 59"], ["h", 6, "65"]], "target_var_name": "y", "target_value": 65, "value_dict": {"h": 6}, "is_reverse": true}}
| 23,981
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = p + 8; l = r + 19; s = n + 18; k = d + 3; r = x + 8; f = k + 14; p = i + 13; n = h + 8; d = s + 16; a = f + 16; y = l + 9; i = h + 2; h = 6. If h = 6, determine the 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 l = r + 19 to y, which gives y = r + 28.\n2. Substitute r = x + 8 to y, which gives y = x + 36.\n3. Substitute x = p + 8 to y, which gives y = p + 44.\n4. Substitute p = i + 13 to y, which gives y = i + 57.\n5. Substitute i = h + 2 to y, which gives y = h + 59.\n6. Substitute h = 6 to y, which gives y = 65.\n\nThus, the final answer is y = \\boxed{65}.",
"index": 23981,
"question": "Consider a system of variables where each variable is defined as follows: x = p + 8; l = r + 19; s = n + 18; k = d + 3; r = x + 8; f = k + 14; p = i + 13; n = h + 8; d = s + 16; a = f + 16; y = l + 9; i = h + 2; h = 6. If h = 6, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"c": "q + 10", "g": "c + 7", "e": "g + 20", "f": "e + 10", "n": "f + 7", "r": "n + 10", "l": "q + 15", "i": "l + 14", "w": "i + 16", "k": "w + 13", "j": "k + 13", "o": "j + 14", "q": 15}, "premises": {"q": 15}, "target": "r"}, "answer": {"steps": [["n", "f + 7", "f + 17"], ["f", "e + 10", "e + 27"], ["e", "g + 20", "g + 47"], ["g", "c + 7", "c + 54"], ["c", "q + 10", "q + 64"], ["q", 15, "79"]], "target_var_name": "r", "target_value": 79, "value_dict": {"q": 15}, "is_reverse": true}}
| 23,982
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = n + 10; g = c + 7; k = w + 13; c = q + 10; n = f + 7; e = g + 20; l = q + 15; j = k + 13; o = j + 14; q = 15; f = e + 10; w = i + 16; i = l + 14. If q = 15, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = f + 7 to r, which gives r = f + 17.\n2. Substitute f = e + 10 to r, which gives r = e + 27.\n3. Substitute e = g + 20 to r, which gives r = g + 47.\n4. Substitute g = c + 7 to r, which gives r = c + 54.\n5. Substitute c = q + 10 to r, which gives r = q + 64.\n6. Substitute q = 15 to r, which gives r = 79.\n\nThus, the final answer is r = \\boxed{79}.",
"index": 23982,
"question": "Consider a system of variables where each variable is defined as follows: r = n + 10; g = c + 7; k = w + 13; c = q + 10; n = f + 7; e = g + 20; l = q + 15; j = k + 13; o = j + 14; q = 15; f = e + 10; w = i + 16; i = l + 14. If q = 15, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"g": "w + 4", "q": "g + 11", "p": "q + 1", "t": "p + 15", "r": "t + 8", "e": "r + 20", "k": "w + 6", "o": "k + 3", "u": "o + 10", "y": "u + 5", "z": "y + 18", "b": "z + 7", "w": 6}, "premises": {"w": 6}, "target": "e"}, "answer": {"steps": [["r", "t + 8", "t + 28"], ["t", "p + 15", "p + 43"], ["p", "q + 1", "q + 44"], ["q", "g + 11", "g + 55"], ["g", "w + 4", "w + 59"], ["w", 6, "65"]], "target_var_name": "e", "target_value": 65, "value_dict": {"w": 6}, "is_reverse": true}}
| 23,983
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = z + 7; o = k + 3; u = o + 10; q = g + 11; e = r + 20; p = q + 1; z = y + 18; w = 6; g = w + 4; r = t + 8; t = p + 15; y = u + 5; k = w + 6. If w = 6, 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 r = t + 8 to e, which gives e = t + 28.\n2. Substitute t = p + 15 to e, which gives e = p + 43.\n3. Substitute p = q + 1 to e, which gives e = q + 44.\n4. Substitute q = g + 11 to e, which gives e = g + 55.\n5. Substitute g = w + 4 to e, which gives e = w + 59.\n6. Substitute w = 6 to e, which gives e = 65.\n\nThus, the final answer is e = \\boxed{65}.",
"index": 23983,
"question": "Consider a system of variables where each variable is defined as follows: b = z + 7; o = k + 3; u = o + 10; q = g + 11; e = r + 20; p = q + 1; z = y + 18; w = 6; g = w + 4; r = t + 8; t = p + 15; y = u + 5; k = w + 6. If w = 6, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"z": "j + 14", "t": "z + 8", "g": "t + 14", "i": "g + 1", "u": "i + 16", "q": "u + 14", "f": "j + 4", "h": "f + 8", "l": "h + 10", "y": "l + 2", "m": "y + 19", "x": "m + 8", "j": 17}, "premises": {"j": 17}, "target": "q"}, "answer": {"steps": [["u", "i + 16", "i + 30"], ["i", "g + 1", "g + 31"], ["g", "t + 14", "t + 45"], ["t", "z + 8", "z + 53"], ["z", "j + 14", "j + 67"], ["j", 17, "84"]], "target_var_name": "q", "target_value": 84, "value_dict": {"j": 17}, "is_reverse": true}}
| 23,984
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = 17; h = f + 8; q = u + 14; x = m + 8; y = l + 2; l = h + 10; g = t + 14; t = z + 8; i = g + 1; m = y + 19; f = j + 4; u = i + 16; z = j + 14. If j = 17, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = i + 16 to q, which gives q = i + 30.\n2. Substitute i = g + 1 to q, which gives q = g + 31.\n3. Substitute g = t + 14 to q, which gives q = t + 45.\n4. Substitute t = z + 8 to q, which gives q = z + 53.\n5. Substitute z = j + 14 to q, which gives q = j + 67.\n6. Substitute j = 17 to q, which gives q = 84.\n\nThus, the final answer is q = \\boxed{84}.",
"index": 23984,
"question": "Consider a system of variables where each variable is defined as follows: j = 17; h = f + 8; q = u + 14; x = m + 8; y = l + 2; l = h + 10; g = t + 14; t = z + 8; i = g + 1; m = y + 19; f = j + 4; u = i + 16; z = j + 14. If j = 17, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"k": "c + 8", "a": "k + 1", "l": "a + 2", "z": "l + 4", "d": "z + 17", "s": "d + 5", "r": "c + 11", "h": "r + 8", "w": "h + 16", "q": "w + 10", "y": "q + 1", "v": "y + 13", "c": 12}, "premises": {"c": 12}, "target": "s"}, "answer": {"steps": [["d", "z + 17", "z + 22"], ["z", "l + 4", "l + 26"], ["l", "a + 2", "a + 28"], ["a", "k + 1", "k + 29"], ["k", "c + 8", "c + 37"], ["c", 12, "49"]], "target_var_name": "s", "target_value": 49, "value_dict": {"c": 12}, "is_reverse": true}}
| 23,985
| 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 = c + 11; h = r + 8; q = w + 10; w = h + 16; a = k + 1; v = y + 13; d = z + 17; z = l + 4; s = d + 5; c = 12; y = q + 1; k = c + 8; l = a + 2. If c = 12, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = z + 17 to s, which gives s = z + 22.\n2. Substitute z = l + 4 to s, which gives s = l + 26.\n3. Substitute l = a + 2 to s, which gives s = a + 28.\n4. Substitute a = k + 1 to s, which gives s = k + 29.\n5. Substitute k = c + 8 to s, which gives s = c + 37.\n6. Substitute c = 12 to s, which gives s = 49.\n\nThus, the final answer is s = \\boxed{49}.",
"index": 23985,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = c + 11; h = r + 8; q = w + 10; w = h + 16; a = k + 1; v = y + 13; d = z + 17; z = l + 4; s = d + 5; c = 12; y = q + 1; k = c + 8; l = a + 2. If c = 12, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"d": "p + 5", "h": "d + 8", "q": "h + 12", "z": "q + 1", "g": "z + 4", "j": "g + 16", "r": "p + 14", "n": "r + 15", "k": "n + 9", "x": "k + 17", "c": "x + 20", "l": "c + 1", "p": 20}, "premises": {"p": 20}, "target": "j"}, "answer": {"steps": [["g", "z + 4", "z + 20"], ["z", "q + 1", "q + 21"], ["q", "h + 12", "h + 33"], ["h", "d + 8", "d + 41"], ["d", "p + 5", "p + 46"], ["p", 20, "66"]], "target_var_name": "j", "target_value": 66, "value_dict": {"p": 20}, "is_reverse": true}}
| 23,986
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = g + 16; r = p + 14; l = c + 1; q = h + 12; h = d + 8; n = r + 15; x = k + 17; c = x + 20; g = z + 4; d = p + 5; k = n + 9; p = 20; z = q + 1. If p = 20, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = z + 4 to j, which gives j = z + 20.\n2. Substitute z = q + 1 to j, which gives j = q + 21.\n3. Substitute q = h + 12 to j, which gives j = h + 33.\n4. Substitute h = d + 8 to j, which gives j = d + 41.\n5. Substitute d = p + 5 to j, which gives j = p + 46.\n6. Substitute p = 20 to j, which gives j = 66.\n\nThus, the final answer is j = \\boxed{66}.",
"index": 23986,
"question": "Consider a system of variables where each variable is defined as follows: j = g + 16; r = p + 14; l = c + 1; q = h + 12; h = d + 8; n = r + 15; x = k + 17; c = x + 20; g = z + 4; d = p + 5; k = n + 9; p = 20; z = q + 1. If p = 20, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"h": "z + 3", "x": "h + 16", "y": "x + 16", "q": "y + 3", "d": "q + 16", "a": "d + 20", "u": "z + 11", "n": "u + 3", "w": "n + 7", "t": "w + 20", "o": "t + 5", "r": "o + 8", "z": 2}, "premises": {"z": 2}, "target": "a"}, "answer": {"steps": [["d", "q + 16", "q + 36"], ["q", "y + 3", "y + 39"], ["y", "x + 16", "x + 55"], ["x", "h + 16", "h + 71"], ["h", "z + 3", "z + 74"], ["z", 2, "76"]], "target_var_name": "a", "target_value": 76, "value_dict": {"z": 2}, "is_reverse": true}}
| 23,987
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = z + 3; x = h + 16; t = w + 20; r = o + 8; z = 2; q = y + 3; y = x + 16; o = t + 5; d = q + 16; a = d + 20; u = z + 11; n = u + 3; w = n + 7. If z = 2, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = q + 16 to a, which gives a = q + 36.\n2. Substitute q = y + 3 to a, which gives a = y + 39.\n3. Substitute y = x + 16 to a, which gives a = x + 55.\n4. Substitute x = h + 16 to a, which gives a = h + 71.\n5. Substitute h = z + 3 to a, which gives a = z + 74.\n6. Substitute z = 2 to a, which gives a = 76.\n\nThus, the final answer is a = \\boxed{76}.",
"index": 23987,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = z + 3; x = h + 16; t = w + 20; r = o + 8; z = 2; q = y + 3; y = x + 16; o = t + 5; d = q + 16; a = d + 20; u = z + 11; n = u + 3; w = n + 7. If z = 2, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"s": "x + 15", "n": "s + 16", "e": "n + 20", "v": "e + 20", "h": "v + 17", "t": "h + 3", "p": "x + 20", "d": "p + 12", "f": "d + 1", "u": "f + 20", "l": "u + 3", "k": "l + 14", "x": 11}, "premises": {"x": 11}, "target": "t"}, "answer": {"steps": [["h", "v + 17", "v + 20"], ["v", "e + 20", "e + 40"], ["e", "n + 20", "n + 60"], ["n", "s + 16", "s + 76"], ["s", "x + 15", "x + 91"], ["x", 11, "102"]], "target_var_name": "t", "target_value": 102, "value_dict": {"x": 11}, "is_reverse": true}}
| 23,988
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = n + 20; l = u + 3; f = d + 1; k = l + 14; u = f + 20; p = x + 20; h = v + 17; x = 11; n = s + 16; d = p + 12; v = e + 20; t = h + 3; s = x + 15. If x = 11, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 102,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = v + 17 to t, which gives t = v + 20.\n2. Substitute v = e + 20 to t, which gives t = e + 40.\n3. Substitute e = n + 20 to t, which gives t = n + 60.\n4. Substitute n = s + 16 to t, which gives t = s + 76.\n5. Substitute s = x + 15 to t, which gives t = x + 91.\n6. Substitute x = 11 to t, which gives t = 102.\n\nThus, the final answer is t = \\boxed{102}.",
"index": 23988,
"question": "Consider a system of variables where each variable is defined as follows: e = n + 20; l = u + 3; f = d + 1; k = l + 14; u = f + 20; p = x + 20; h = v + 17; x = 11; n = s + 16; d = p + 12; v = e + 20; t = h + 3; s = x + 15. If x = 11, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"k": "l + 6", "f": "k + 4", "t": "f + 4", "i": "t + 1", "q": "i + 10", "s": "q + 19", "n": "l + 3", "u": "n + 20", "x": "u + 2", "y": "x + 13", "b": "y + 10", "p": "b + 9", "l": 2}, "premises": {"l": 2}, "target": "s"}, "answer": {"steps": [["q", "i + 10", "i + 29"], ["i", "t + 1", "t + 30"], ["t", "f + 4", "f + 34"], ["f", "k + 4", "k + 38"], ["k", "l + 6", "l + 44"], ["l", 2, "46"]], "target_var_name": "s", "target_value": 46, "value_dict": {"l": 2}, "is_reverse": true}}
| 23,989
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = y + 10; y = x + 13; f = k + 4; s = q + 19; k = l + 6; l = 2; u = n + 20; x = u + 2; i = t + 1; q = i + 10; n = l + 3; p = b + 9; t = f + 4. Given that l = 2, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 46,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = i + 10 to s, which gives s = i + 29.\n2. Substitute i = t + 1 to s, which gives s = t + 30.\n3. Substitute t = f + 4 to s, which gives s = f + 34.\n4. Substitute f = k + 4 to s, which gives s = k + 38.\n5. Substitute k = l + 6 to s, which gives s = l + 44.\n6. Substitute l = 2 to s, which gives s = 46.\n\nThus, the final answer is s = \\boxed{46}.",
"index": 23989,
"question": "Suppose a collection of variables is related by the following definitions: b = y + 10; y = x + 13; f = k + 4; s = q + 19; k = l + 6; l = 2; u = n + 20; x = u + 2; i = t + 1; q = i + 10; n = l + 3; p = b + 9; t = f + 4. Given that l = 2, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"v": "w + 6", "c": "v + 2", "d": "c + 2", "b": "d + 8", "e": "b + 12", "i": "e + 4", "h": "w + 6", "r": "h + 18", "z": "r + 20", "t": "z + 9", "n": "t + 19", "s": "n + 1", "w": 2}, "premises": {"w": 2}, "target": "i"}, "answer": {"steps": [["e", "b + 12", "b + 16"], ["b", "d + 8", "d + 24"], ["d", "c + 2", "c + 26"], ["c", "v + 2", "v + 28"], ["v", "w + 6", "w + 34"], ["w", 2, "36"]], "target_var_name": "i", "target_value": 36, "value_dict": {"w": 2}, "is_reverse": true}}
| 23,990
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = 2; r = h + 18; s = n + 1; e = b + 12; d = c + 2; n = t + 19; z = r + 20; b = d + 8; c = v + 2; v = w + 6; h = w + 6; t = z + 9; i = e + 4. Given that w = 2, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 36,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = b + 12 to i, which gives i = b + 16.\n2. Substitute b = d + 8 to i, which gives i = d + 24.\n3. Substitute d = c + 2 to i, which gives i = c + 26.\n4. Substitute c = v + 2 to i, which gives i = v + 28.\n5. Substitute v = w + 6 to i, which gives i = w + 34.\n6. Substitute w = 2 to i, which gives i = 36.\n\nThus, the final answer is i = \\boxed{36}.",
"index": 23990,
"question": "Suppose a collection of variables is related by the following definitions: w = 2; r = h + 18; s = n + 1; e = b + 12; d = c + 2; n = t + 19; z = r + 20; b = d + 8; c = v + 2; v = w + 6; h = w + 6; t = z + 9; i = e + 4. Given that w = 2, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"i": "p + 12", "a": "i + 20", "l": "a + 2", "z": "l + 6", "m": "z + 19", "c": "m + 1", "q": "p + 12", "w": "q + 19", "x": "w + 12", "e": "x + 8", "o": "e + 13", "s": "o + 5", "p": 12}, "premises": {"p": 12}, "target": "c"}, "answer": {"steps": [["m", "z + 19", "z + 20"], ["z", "l + 6", "l + 26"], ["l", "a + 2", "a + 28"], ["a", "i + 20", "i + 48"], ["i", "p + 12", "p + 60"], ["p", 12, "72"]], "target_var_name": "c", "target_value": 72, "value_dict": {"p": 12}, "is_reverse": true}}
| 23,991
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = p + 12; x = w + 12; l = a + 2; p = 12; o = e + 13; i = p + 12; c = m + 1; z = l + 6; s = o + 5; e = x + 8; a = i + 20; m = z + 19; w = q + 19. Given that p = 12, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = z + 19 to c, which gives c = z + 20.\n2. Substitute z = l + 6 to c, which gives c = l + 26.\n3. Substitute l = a + 2 to c, which gives c = a + 28.\n4. Substitute a = i + 20 to c, which gives c = i + 48.\n5. Substitute i = p + 12 to c, which gives c = p + 60.\n6. Substitute p = 12 to c, which gives c = 72.\n\nThus, the final answer is c = \\boxed{72}.",
"index": 23991,
"question": "Suppose a collection of variables is related by the following definitions: q = p + 12; x = w + 12; l = a + 2; p = 12; o = e + 13; i = p + 12; c = m + 1; z = l + 6; s = o + 5; e = x + 8; a = i + 20; m = z + 19; w = q + 19. Given that p = 12, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"f": "m + 20", "l": "f + 2", "z": "l + 11", "k": "z + 6", "e": "k + 5", "i": "e + 17", "v": "m + 11", "a": "v + 8", "n": "a + 15", "p": "n + 17", "s": "p + 14", "q": "s + 7", "m": 9}, "premises": {"m": 9}, "target": "i"}, "answer": {"steps": [["e", "k + 5", "k + 22"], ["k", "z + 6", "z + 28"], ["z", "l + 11", "l + 39"], ["l", "f + 2", "f + 41"], ["f", "m + 20", "m + 61"], ["m", 9, "70"]], "target_var_name": "i", "target_value": 70, "value_dict": {"m": 9}, "is_reverse": true}}
| 23,992
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = a + 15; a = v + 8; e = k + 5; i = e + 17; q = s + 7; v = m + 11; f = m + 20; p = n + 17; z = l + 11; k = z + 6; s = p + 14; l = f + 2; m = 9. If m = 9, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = k + 5 to i, which gives i = k + 22.\n2. Substitute k = z + 6 to i, which gives i = z + 28.\n3. Substitute z = l + 11 to i, which gives i = l + 39.\n4. Substitute l = f + 2 to i, which gives i = f + 41.\n5. Substitute f = m + 20 to i, which gives i = m + 61.\n6. Substitute m = 9 to i, which gives i = 70.\n\nThus, the final answer is i = \\boxed{70}.",
"index": 23992,
"question": "Consider a system of variables where each variable is defined as follows: n = a + 15; a = v + 8; e = k + 5; i = e + 17; q = s + 7; v = m + 11; f = m + 20; p = n + 17; z = l + 11; k = z + 6; s = p + 14; l = f + 2; m = 9. If m = 9, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"a": "b + 18", "v": "a + 13", "s": "v + 20", "x": "s + 3", "q": "x + 2", "c": "q + 8", "r": "b + 12", "n": "r + 13", "p": "n + 16", "g": "p + 10", "l": "g + 6", "f": "l + 8", "b": 9}, "premises": {"b": 9}, "target": "c"}, "answer": {"steps": [["q", "x + 2", "x + 10"], ["x", "s + 3", "s + 13"], ["s", "v + 20", "v + 33"], ["v", "a + 13", "a + 46"], ["a", "b + 18", "b + 64"], ["b", 9, "73"]], "target_var_name": "c", "target_value": 73, "value_dict": {"b": 9}, "is_reverse": true}}
| 23,993
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = q + 8; s = v + 20; f = l + 8; n = r + 13; l = g + 6; p = n + 16; x = s + 3; a = b + 18; q = x + 2; r = b + 12; b = 9; g = p + 10; v = a + 13. Given that b = 9, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = x + 2 to c, which gives c = x + 10.\n2. Substitute x = s + 3 to c, which gives c = s + 13.\n3. Substitute s = v + 20 to c, which gives c = v + 33.\n4. Substitute v = a + 13 to c, which gives c = a + 46.\n5. Substitute a = b + 18 to c, which gives c = b + 64.\n6. Substitute b = 9 to c, which gives c = 73.\n\nThus, the final answer is c = \\boxed{73}.",
"index": 23993,
"question": "Suppose a collection of variables is related by the following definitions: c = q + 8; s = v + 20; f = l + 8; n = r + 13; l = g + 6; p = n + 16; x = s + 3; a = b + 18; q = x + 2; r = b + 12; b = 9; g = p + 10; v = a + 13. Given that b = 9, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"e": "o + 16", "t": "e + 12", "y": "t + 17", "d": "y + 8", "v": "d + 10", "k": "v + 2", "l": "o + 14", "h": "l + 17", "r": "h + 19", "b": "r + 17", "m": "b + 8", "c": "m + 20", "o": 4}, "premises": {"o": 4}, "target": "k"}, "answer": {"steps": [["v", "d + 10", "d + 12"], ["d", "y + 8", "y + 20"], ["y", "t + 17", "t + 37"], ["t", "e + 12", "e + 49"], ["e", "o + 16", "o + 65"], ["o", 4, "69"]], "target_var_name": "k", "target_value": 69, "value_dict": {"o": 4}, "is_reverse": true}}
| 23,994
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = r + 17; c = m + 20; d = y + 8; m = b + 8; h = l + 17; o = 4; y = t + 17; k = v + 2; l = o + 14; r = h + 19; v = d + 10; t = e + 12; e = o + 16. If o = 4, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = d + 10 to k, which gives k = d + 12.\n2. Substitute d = y + 8 to k, which gives k = y + 20.\n3. Substitute y = t + 17 to k, which gives k = t + 37.\n4. Substitute t = e + 12 to k, which gives k = e + 49.\n5. Substitute e = o + 16 to k, which gives k = o + 65.\n6. Substitute o = 4 to k, which gives k = 69.\n\nThus, the final answer is k = \\boxed{69}.",
"index": 23994,
"question": "Consider a system of variables where each variable is defined as follows: b = r + 17; c = m + 20; d = y + 8; m = b + 8; h = l + 17; o = 4; y = t + 17; k = v + 2; l = o + 14; r = h + 19; v = d + 10; t = e + 12; e = o + 16. If o = 4, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"m": "l + 14", "a": "m + 15", "s": "a + 13", "n": "s + 8", "r": "n + 10", "g": "r + 14", "p": "l + 13", "d": "p + 13", "f": "d + 5", "i": "f + 5", "t": "i + 12", "b": "t + 11", "l": 5}, "premises": {"l": 5}, "target": "g"}, "answer": {"steps": [["r", "n + 10", "n + 24"], ["n", "s + 8", "s + 32"], ["s", "a + 13", "a + 45"], ["a", "m + 15", "m + 60"], ["m", "l + 14", "l + 74"], ["l", 5, "79"]], "target_var_name": "g", "target_value": 79, "value_dict": {"l": 5}, "is_reverse": true}}
| 23,995
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = a + 13; l = 5; n = s + 8; m = l + 14; i = f + 5; f = d + 5; b = t + 11; r = n + 10; p = l + 13; t = i + 12; g = r + 14; a = m + 15; d = p + 13. If l = 5, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = n + 10 to g, which gives g = n + 24.\n2. Substitute n = s + 8 to g, which gives g = s + 32.\n3. Substitute s = a + 13 to g, which gives g = a + 45.\n4. Substitute a = m + 15 to g, which gives g = m + 60.\n5. Substitute m = l + 14 to g, which gives g = l + 74.\n6. Substitute l = 5 to g, which gives g = 79.\n\nThus, the final answer is g = \\boxed{79}.",
"index": 23995,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = a + 13; l = 5; n = s + 8; m = l + 14; i = f + 5; f = d + 5; b = t + 11; r = n + 10; p = l + 13; t = i + 12; g = r + 14; a = m + 15; d = p + 13. If l = 5, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"b": "n + 6", "v": "b + 14", "l": "v + 7", "a": "l + 4", "d": "a + 12", "s": "d + 18", "p": "n + 12", "c": "p + 14", "y": "c + 1", "g": "y + 4", "x": "g + 19", "u": "x + 17", "n": 7}, "premises": {"n": 7}, "target": "s"}, "answer": {"steps": [["d", "a + 12", "a + 30"], ["a", "l + 4", "l + 34"], ["l", "v + 7", "v + 41"], ["v", "b + 14", "b + 55"], ["b", "n + 6", "n + 61"], ["n", 7, "68"]], "target_var_name": "s", "target_value": 68, "value_dict": {"n": 7}, "is_reverse": true}}
| 23,996
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = p + 14; d = a + 12; b = n + 6; n = 7; s = d + 18; v = b + 14; l = v + 7; u = x + 17; p = n + 12; x = g + 19; a = l + 4; y = c + 1; g = y + 4. If n = 7, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = a + 12 to s, which gives s = a + 30.\n2. Substitute a = l + 4 to s, which gives s = l + 34.\n3. Substitute l = v + 7 to s, which gives s = v + 41.\n4. Substitute v = b + 14 to s, which gives s = b + 55.\n5. Substitute b = n + 6 to s, which gives s = n + 61.\n6. Substitute n = 7 to s, which gives s = 68.\n\nThus, the final answer is s = \\boxed{68}.",
"index": 23996,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = p + 14; d = a + 12; b = n + 6; n = 7; s = d + 18; v = b + 14; l = v + 7; u = x + 17; p = n + 12; x = g + 19; a = l + 4; y = c + 1; g = y + 4. If n = 7, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"e": "x + 10", "w": "e + 6", "n": "w + 1", "r": "n + 4", "m": "r + 10", "s": "m + 10", "i": "x + 2", "v": "i + 7", "z": "v + 7", "a": "z + 6", "u": "a + 3", "p": "u + 7", "x": 18}, "premises": {"x": 18}, "target": "s"}, "answer": {"steps": [["m", "r + 10", "r + 20"], ["r", "n + 4", "n + 24"], ["n", "w + 1", "w + 25"], ["w", "e + 6", "e + 31"], ["e", "x + 10", "x + 41"], ["x", 18, "59"]], "target_var_name": "s", "target_value": 59, "value_dict": {"x": 18}, "is_reverse": true}}
| 23,997
| 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 = z + 6; m = r + 10; v = i + 7; p = u + 7; i = x + 2; s = m + 10; e = x + 10; w = e + 6; x = 18; z = v + 7; u = a + 3; r = n + 4; n = w + 1. If x = 18, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = r + 10 to s, which gives s = r + 20.\n2. Substitute r = n + 4 to s, which gives s = n + 24.\n3. Substitute n = w + 1 to s, which gives s = w + 25.\n4. Substitute w = e + 6 to s, which gives s = e + 31.\n5. Substitute e = x + 10 to s, which gives s = x + 41.\n6. Substitute x = 18 to s, which gives s = 59.\n\nThus, the final answer is s = \\boxed{59}.",
"index": 23997,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = z + 6; m = r + 10; v = i + 7; p = u + 7; i = x + 2; s = m + 10; e = x + 10; w = e + 6; x = 18; z = v + 7; u = a + 3; r = n + 4; n = w + 1. If x = 18, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"m": "h + 12", "w": "m + 18", "g": "w + 13", "j": "g + 14", "z": "j + 11", "t": "z + 20", "c": "h + 3", "k": "c + 7", "b": "k + 17", "e": "b + 20", "d": "e + 8", "p": "d + 12", "h": 15}, "premises": {"h": 15}, "target": "t"}, "answer": {"steps": [["z", "j + 11", "j + 31"], ["j", "g + 14", "g + 45"], ["g", "w + 13", "w + 58"], ["w", "m + 18", "m + 76"], ["m", "h + 12", "h + 88"], ["h", 15, "103"]], "target_var_name": "t", "target_value": 103, "value_dict": {"h": 15}, "is_reverse": true}}
| 23,998
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = e + 8; h = 15; t = z + 20; z = j + 11; p = d + 12; g = w + 13; b = k + 17; j = g + 14; w = m + 18; k = c + 7; e = b + 20; m = h + 12; c = h + 3. Given that h = 15, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 103,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = j + 11 to t, which gives t = j + 31.\n2. Substitute j = g + 14 to t, which gives t = g + 45.\n3. Substitute g = w + 13 to t, which gives t = w + 58.\n4. Substitute w = m + 18 to t, which gives t = m + 76.\n5. Substitute m = h + 12 to t, which gives t = h + 88.\n6. Substitute h = 15 to t, which gives t = 103.\n\nThus, the final answer is t = \\boxed{103}.",
"index": 23998,
"question": "Suppose a collection of variables is related by the following definitions: d = e + 8; h = 15; t = z + 20; z = j + 11; p = d + 12; g = w + 13; b = k + 17; j = g + 14; w = m + 18; k = c + 7; e = b + 20; m = h + 12; c = h + 3. Given that h = 15, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"q": "k + 18", "b": "q + 2", "x": "b + 7", "r": "x + 13", "t": "r + 14", "g": "t + 4", "h": "k + 11", "w": "h + 13", "p": "w + 3", "o": "p + 20", "f": "o + 12", "d": "f + 11", "k": 18}, "premises": {"k": 18}, "target": "g"}, "answer": {"steps": [["t", "r + 14", "r + 18"], ["r", "x + 13", "x + 31"], ["x", "b + 7", "b + 38"], ["b", "q + 2", "q + 40"], ["q", "k + 18", "k + 58"], ["k", 18, "76"]], "target_var_name": "g", "target_value": 76, "value_dict": {"k": 18}, "is_reverse": true}}
| 23,999
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = k + 11; b = q + 2; r = x + 13; q = k + 18; x = b + 7; t = r + 14; p = w + 3; k = 18; f = o + 12; d = f + 11; o = p + 20; g = t + 4; w = h + 13. If k = 18, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = r + 14 to g, which gives g = r + 18.\n2. Substitute r = x + 13 to g, which gives g = x + 31.\n3. Substitute x = b + 7 to g, which gives g = b + 38.\n4. Substitute b = q + 2 to g, which gives g = q + 40.\n5. Substitute q = k + 18 to g, which gives g = k + 58.\n6. Substitute k = 18 to g, which gives g = 76.\n\nThus, the final answer is g = \\boxed{76}.",
"index": 23999,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = k + 11; b = q + 2; r = x + 13; q = k + 18; x = b + 7; t = r + 14; p = w + 3; k = 18; f = o + 12; d = f + 11; o = p + 20; g = t + 4; w = h + 13. If k = 18, what is the resulting value of g?",
"split": "train"
}
|
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