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25.6k
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stringclasses 1
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stringclasses 1
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listlengths 1
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stringclasses 1
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dict | extra_info
dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"q": "m + 5", "z": "q + 13", "t": "z + 14", "i": "t + 5", "l": "i + 11", "a": "l + 3", "y": "m + 3", "b": "y + 17", "v": "b + 7", "j": "v + 19", "d": "j + 19", "c": "d + 8", "m": 5}, "premises": {"m": 5}, "target": "a"}, "answer": {"steps": [["l", "i + 11", "i + 14"], ["i", "t + 5", "t + 19"], ["t", "z + 14", "z + 33"], ["z", "q + 13", "q + 46"], ["q", "m + 5", "m + 51"], ["m", 5, "56"]], "target_var_name": "a", "target_value": 56, "value_dict": {"m": 5}, "is_reverse": true}}
| 3,900
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = v + 19; l = i + 11; c = d + 8; m = 5; d = j + 19; b = y + 17; i = t + 5; q = m + 5; t = z + 14; z = q + 13; a = l + 3; y = m + 3; v = b + 7. If m = 5, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = i + 11 to a, which gives a = i + 14.\n2. Substitute i = t + 5 to a, which gives a = t + 19.\n3. Substitute t = z + 14 to a, which gives a = z + 33.\n4. Substitute z = q + 13 to a, which gives a = q + 46.\n5. Substitute q = m + 5 to a, which gives a = m + 51.\n6. Substitute m = 5 to a, which gives a = 56.\n\nThus, the final answer is a = \\boxed{56}.",
"index": 3900,
"question": "Consider a system of variables where each variable is defined as follows: j = v + 19; l = i + 11; c = d + 8; m = 5; d = j + 19; b = y + 17; i = t + 5; q = m + 5; t = z + 14; z = q + 13; a = l + 3; y = m + 3; v = b + 7. If m = 5, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"q": "l + 19", "a": "q + 4", "b": "a + 9", "u": "b + 11", "o": "u + 18", "c": "o + 5", "t": "l + 8", "i": "t + 11", "h": "i + 3", "y": "h + 20", "r": "y + 19", "g": "r + 12", "l": 6}, "premises": {"l": 6}, "target": "c"}, "answer": {"steps": [["o", "u + 18", "u + 23"], ["u", "b + 11", "b + 34"], ["b", "a + 9", "a + 43"], ["a", "q + 4", "q + 47"], ["q", "l + 19", "l + 66"], ["l", 6, "72"]], "target_var_name": "c", "target_value": 72, "value_dict": {"l": 6}, "is_reverse": true}}
| 3,901
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = u + 18; r = y + 19; i = t + 11; u = b + 11; q = l + 19; h = i + 3; y = h + 20; t = l + 8; l = 6; b = a + 9; a = q + 4; g = r + 12; c = o + 5. If l = 6, determine 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 o = u + 18 to c, which gives c = u + 23.\n2. Substitute u = b + 11 to c, which gives c = b + 34.\n3. Substitute b = a + 9 to c, which gives c = a + 43.\n4. Substitute a = q + 4 to c, which gives c = q + 47.\n5. Substitute q = l + 19 to c, which gives c = l + 66.\n6. Substitute l = 6 to c, which gives c = 72.\n\nThus, the final answer is c = \\boxed{72}.",
"index": 3901,
"question": "Consider a system of variables where each variable is defined as follows: o = u + 18; r = y + 19; i = t + 11; u = b + 11; q = l + 19; h = i + 3; y = h + 20; t = l + 8; l = 6; b = a + 9; a = q + 4; g = r + 12; c = o + 5. If l = 6, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"r": "v + 4", "k": "r + 9", "w": "k + 8", "e": "w + 15", "g": "e + 6", "a": "g + 5", "z": "v + 5", "y": "z + 13", "h": "y + 5", "s": "h + 15", "b": "s + 18", "q": "b + 14", "v": 16}, "premises": {"v": 16}, "target": "a"}, "answer": {"steps": [["g", "e + 6", "e + 11"], ["e", "w + 15", "w + 26"], ["w", "k + 8", "k + 34"], ["k", "r + 9", "r + 43"], ["r", "v + 4", "v + 47"], ["v", 16, "63"]], "target_var_name": "a", "target_value": 63, "value_dict": {"v": 16}, "is_reverse": true}}
| 3,902
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = 16; h = y + 5; w = k + 8; q = b + 14; r = v + 4; e = w + 15; g = e + 6; a = g + 5; b = s + 18; y = z + 13; k = r + 9; z = v + 5; s = h + 15. If v = 16, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = e + 6 to a, which gives a = e + 11.\n2. Substitute e = w + 15 to a, which gives a = w + 26.\n3. Substitute w = k + 8 to a, which gives a = k + 34.\n4. Substitute k = r + 9 to a, which gives a = r + 43.\n5. Substitute r = v + 4 to a, which gives a = v + 47.\n6. Substitute v = 16 to a, which gives a = 63.\n\nThus, the final answer is a = \\boxed{63}.",
"index": 3902,
"question": "Consider a system of variables where each variable is defined as follows: v = 16; h = y + 5; w = k + 8; q = b + 14; r = v + 4; e = w + 15; g = e + 6; a = g + 5; b = s + 18; y = z + 13; k = r + 9; z = v + 5; s = h + 15. If v = 16, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"o": "b + 15", "u": "o + 12", "j": "u + 11", "z": "j + 5", "v": "z + 4", "l": "v + 2", "e": "b + 16", "c": "e + 2", "i": "c + 2", "p": "i + 10", "h": "p + 6", "x": "h + 13", "b": 19}, "premises": {"b": 19}, "target": "l"}, "answer": {"steps": [["v", "z + 4", "z + 6"], ["z", "j + 5", "j + 11"], ["j", "u + 11", "u + 22"], ["u", "o + 12", "o + 34"], ["o", "b + 15", "b + 49"], ["b", 19, "68"]], "target_var_name": "l", "target_value": 68, "value_dict": {"b": 19}, "is_reverse": true}}
| 3,903
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = 19; v = z + 4; p = i + 10; z = j + 5; x = h + 13; e = b + 16; u = o + 12; h = p + 6; c = e + 2; l = v + 2; o = b + 15; i = c + 2; j = u + 11. Given that b = 19, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = z + 4 to l, which gives l = z + 6.\n2. Substitute z = j + 5 to l, which gives l = j + 11.\n3. Substitute j = u + 11 to l, which gives l = u + 22.\n4. Substitute u = o + 12 to l, which gives l = o + 34.\n5. Substitute o = b + 15 to l, which gives l = b + 49.\n6. Substitute b = 19 to l, which gives l = 68.\n\nThus, the final answer is l = \\boxed{68}.",
"index": 3903,
"question": "Suppose a collection of variables is related by the following definitions: b = 19; v = z + 4; p = i + 10; z = j + 5; x = h + 13; e = b + 16; u = o + 12; h = p + 6; c = e + 2; l = v + 2; o = b + 15; i = c + 2; j = u + 11. Given that b = 19, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"c": "d + 18", "o": "c + 10", "n": "o + 18", "a": "n + 7", "f": "a + 19", "w": "f + 1", "p": "d + 17", "h": "p + 4", "r": "h + 16", "j": "r + 8", "x": "j + 18", "g": "x + 15", "d": 7}, "premises": {"d": 7}, "target": "w"}, "answer": {"steps": [["f", "a + 19", "a + 20"], ["a", "n + 7", "n + 27"], ["n", "o + 18", "o + 45"], ["o", "c + 10", "c + 55"], ["c", "d + 18", "d + 73"], ["d", 7, "80"]], "target_var_name": "w", "target_value": 80, "value_dict": {"d": 7}, "is_reverse": true}}
| 3,904
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = 7; o = c + 10; r = h + 16; h = p + 4; a = n + 7; n = o + 18; j = r + 8; w = f + 1; x = j + 18; g = x + 15; p = d + 17; f = a + 19; c = d + 18. Given that d = 7, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = a + 19 to w, which gives w = a + 20.\n2. Substitute a = n + 7 to w, which gives w = n + 27.\n3. Substitute n = o + 18 to w, which gives w = o + 45.\n4. Substitute o = c + 10 to w, which gives w = c + 55.\n5. Substitute c = d + 18 to w, which gives w = d + 73.\n6. Substitute d = 7 to w, which gives w = 80.\n\nThus, the final answer is w = \\boxed{80}.",
"index": 3904,
"question": "Suppose a collection of variables is related by the following definitions: d = 7; o = c + 10; r = h + 16; h = p + 4; a = n + 7; n = o + 18; j = r + 8; w = f + 1; x = j + 18; g = x + 15; p = d + 17; f = a + 19; c = d + 18. Given that d = 7, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"a": "u + 4", "d": "a + 17", "x": "d + 11", "e": "x + 9", "m": "e + 19", "b": "m + 16", "n": "u + 15", "z": "n + 16", "t": "z + 20", "c": "t + 13", "y": "c + 11", "f": "y + 14", "u": 6}, "premises": {"u": 6}, "target": "b"}, "answer": {"steps": [["m", "e + 19", "e + 35"], ["e", "x + 9", "x + 44"], ["x", "d + 11", "d + 55"], ["d", "a + 17", "a + 72"], ["a", "u + 4", "u + 76"], ["u", 6, "82"]], "target_var_name": "b", "target_value": 82, "value_dict": {"u": 6}, "is_reverse": true}}
| 3,905
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = u + 15; z = n + 16; f = y + 14; c = t + 13; x = d + 11; e = x + 9; u = 6; t = z + 20; y = c + 11; m = e + 19; d = a + 17; a = u + 4; b = m + 16. If u = 6, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = e + 19 to b, which gives b = e + 35.\n2. Substitute e = x + 9 to b, which gives b = x + 44.\n3. Substitute x = d + 11 to b, which gives b = d + 55.\n4. Substitute d = a + 17 to b, which gives b = a + 72.\n5. Substitute a = u + 4 to b, which gives b = u + 76.\n6. Substitute u = 6 to b, which gives b = 82.\n\nThus, the final answer is b = \\boxed{82}.",
"index": 3905,
"question": "Consider a system of variables where each variable is defined as follows: n = u + 15; z = n + 16; f = y + 14; c = t + 13; x = d + 11; e = x + 9; u = 6; t = z + 20; y = c + 11; m = e + 19; d = a + 17; a = u + 4; b = m + 16. If u = 6, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"c": "q + 18", "w": "c + 19", "d": "w + 18", "h": "d + 4", "i": "h + 7", "a": "i + 16", "k": "q + 18", "n": "k + 4", "s": "n + 8", "o": "s + 3", "m": "o + 11", "b": "m + 20", "q": 5}, "premises": {"q": 5}, "target": "a"}, "answer": {"steps": [["i", "h + 7", "h + 23"], ["h", "d + 4", "d + 27"], ["d", "w + 18", "w + 45"], ["w", "c + 19", "c + 64"], ["c", "q + 18", "q + 82"], ["q", 5, "87"]], "target_var_name": "a", "target_value": 87, "value_dict": {"q": 5}, "is_reverse": true}}
| 3,906
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = h + 7; w = c + 19; d = w + 18; m = o + 11; q = 5; h = d + 4; c = q + 18; o = s + 3; s = n + 8; b = m + 20; k = q + 18; n = k + 4; a = i + 16. Given that q = 5, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = h + 7 to a, which gives a = h + 23.\n2. Substitute h = d + 4 to a, which gives a = d + 27.\n3. Substitute d = w + 18 to a, which gives a = w + 45.\n4. Substitute w = c + 19 to a, which gives a = c + 64.\n5. Substitute c = q + 18 to a, which gives a = q + 82.\n6. Substitute q = 5 to a, which gives a = 87.\n\nThus, the final answer is a = \\boxed{87}.",
"index": 3906,
"question": "Suppose a collection of variables is related by the following definitions: i = h + 7; w = c + 19; d = w + 18; m = o + 11; q = 5; h = d + 4; c = q + 18; o = s + 3; s = n + 8; b = m + 20; k = q + 18; n = k + 4; a = i + 16. Given that q = 5, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"q": "i + 14", "a": "q + 7", "y": "a + 7", "w": "y + 20", "f": "w + 19", "t": "f + 16", "r": "i + 11", "k": "r + 9", "p": "k + 6", "b": "p + 6", "v": "b + 10", "n": "v + 17", "i": 14}, "premises": {"i": 14}, "target": "t"}, "answer": {"steps": [["f", "w + 19", "w + 35"], ["w", "y + 20", "y + 55"], ["y", "a + 7", "a + 62"], ["a", "q + 7", "q + 69"], ["q", "i + 14", "i + 83"], ["i", 14, "97"]], "target_var_name": "t", "target_value": 97, "value_dict": {"i": 14}, "is_reverse": true}}
| 3,907
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = q + 7; i = 14; y = a + 7; t = f + 16; w = y + 20; n = v + 17; f = w + 19; k = r + 9; q = i + 14; p = k + 6; b = p + 6; r = i + 11; v = b + 10. Given that i = 14, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 97,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = w + 19 to t, which gives t = w + 35.\n2. Substitute w = y + 20 to t, which gives t = y + 55.\n3. Substitute y = a + 7 to t, which gives t = a + 62.\n4. Substitute a = q + 7 to t, which gives t = q + 69.\n5. Substitute q = i + 14 to t, which gives t = i + 83.\n6. Substitute i = 14 to t, which gives t = 97.\n\nThus, the final answer is t = \\boxed{97}.",
"index": 3907,
"question": "Suppose a collection of variables is related by the following definitions: a = q + 7; i = 14; y = a + 7; t = f + 16; w = y + 20; n = v + 17; f = w + 19; k = r + 9; q = i + 14; p = k + 6; b = p + 6; r = i + 11; v = b + 10. Given that i = 14, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"r": "f + 8", "h": "r + 4", "c": "h + 15", "z": "c + 19", "l": "z + 19", "v": "l + 4", "i": "f + 10", "b": "i + 5", "y": "b + 19", "o": "y + 2", "d": "o + 5", "u": "d + 18", "f": 13}, "premises": {"f": 13}, "target": "v"}, "answer": {"steps": [["l", "z + 19", "z + 23"], ["z", "c + 19", "c + 42"], ["c", "h + 15", "h + 57"], ["h", "r + 4", "r + 61"], ["r", "f + 8", "f + 69"], ["f", 13, "82"]], "target_var_name": "v", "target_value": 82, "value_dict": {"f": 13}, "is_reverse": true}}
| 3,908
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = i + 5; l = z + 19; i = f + 10; o = y + 2; y = b + 19; f = 13; d = o + 5; r = f + 8; h = r + 4; c = h + 15; z = c + 19; v = l + 4; u = d + 18. Given that f = 13, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = z + 19 to v, which gives v = z + 23.\n2. Substitute z = c + 19 to v, which gives v = c + 42.\n3. Substitute c = h + 15 to v, which gives v = h + 57.\n4. Substitute h = r + 4 to v, which gives v = r + 61.\n5. Substitute r = f + 8 to v, which gives v = f + 69.\n6. Substitute f = 13 to v, which gives v = 82.\n\nThus, the final answer is v = \\boxed{82}.",
"index": 3908,
"question": "Suppose a collection of variables is related by the following definitions: b = i + 5; l = z + 19; i = f + 10; o = y + 2; y = b + 19; f = 13; d = o + 5; r = f + 8; h = r + 4; c = h + 15; z = c + 19; v = l + 4; u = d + 18. Given that f = 13, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"x": "f + 9", "e": "x + 19", "r": "e + 13", "q": "r + 3", "z": "q + 20", "w": "z + 9", "o": "f + 1", "n": "o + 2", "g": "n + 7", "d": "g + 6", "l": "d + 6", "i": "l + 8", "f": 2}, "premises": {"f": 2}, "target": "w"}, "answer": {"steps": [["z", "q + 20", "q + 29"], ["q", "r + 3", "r + 32"], ["r", "e + 13", "e + 45"], ["e", "x + 19", "x + 64"], ["x", "f + 9", "f + 73"], ["f", 2, "75"]], "target_var_name": "w", "target_value": 75, "value_dict": {"f": 2}, "is_reverse": true}}
| 3,909
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = 2; e = x + 19; o = f + 1; q = r + 3; l = d + 6; x = f + 9; r = e + 13; g = n + 7; i = l + 8; n = o + 2; z = q + 20; w = z + 9; d = g + 6. If f = 2, determine the 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 z = q + 20 to w, which gives w = q + 29.\n2. Substitute q = r + 3 to w, which gives w = r + 32.\n3. Substitute r = e + 13 to w, which gives w = e + 45.\n4. Substitute e = x + 19 to w, which gives w = x + 64.\n5. Substitute x = f + 9 to w, which gives w = f + 73.\n6. Substitute f = 2 to w, which gives w = 75.\n\nThus, the final answer is w = \\boxed{75}.",
"index": 3909,
"question": "Consider a system of variables where each variable is defined as follows: f = 2; e = x + 19; o = f + 1; q = r + 3; l = d + 6; x = f + 9; r = e + 13; g = n + 7; i = l + 8; n = o + 2; z = q + 20; w = z + 9; d = g + 6. If f = 2, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"x": "v + 2", "u": "x + 9", "m": "u + 6", "y": "m + 19", "k": "y + 13", "q": "k + 2", "d": "v + 16", "g": "d + 15", "j": "g + 14", "n": "j + 20", "c": "n + 1", "a": "c + 19", "v": 11}, "premises": {"v": 11}, "target": "q"}, "answer": {"steps": [["k", "y + 13", "y + 15"], ["y", "m + 19", "m + 34"], ["m", "u + 6", "u + 40"], ["u", "x + 9", "x + 49"], ["x", "v + 2", "v + 51"], ["v", 11, "62"]], "target_var_name": "q", "target_value": 62, "value_dict": {"v": 11}, "is_reverse": true}}
| 3,910
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = u + 6; q = k + 2; x = v + 2; g = d + 15; j = g + 14; k = y + 13; v = 11; n = j + 20; d = v + 16; u = x + 9; c = n + 1; y = m + 19; a = c + 19. If v = 11, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = y + 13 to q, which gives q = y + 15.\n2. Substitute y = m + 19 to q, which gives q = m + 34.\n3. Substitute m = u + 6 to q, which gives q = u + 40.\n4. Substitute u = x + 9 to q, which gives q = x + 49.\n5. Substitute x = v + 2 to q, which gives q = v + 51.\n6. Substitute v = 11 to q, which gives q = 62.\n\nThus, the final answer is q = \\boxed{62}.",
"index": 3910,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = u + 6; q = k + 2; x = v + 2; g = d + 15; j = g + 14; k = y + 13; v = 11; n = j + 20; d = v + 16; u = x + 9; c = n + 1; y = m + 19; a = c + 19. If v = 11, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"j": "g + 9", "q": "j + 3", "y": "q + 9", "h": "y + 11", "a": "h + 10", "d": "a + 1", "c": "g + 8", "u": "c + 14", "t": "u + 11", "k": "t + 10", "n": "k + 16", "l": "n + 14", "g": 7}, "premises": {"g": 7}, "target": "d"}, "answer": {"steps": [["a", "h + 10", "h + 11"], ["h", "y + 11", "y + 22"], ["y", "q + 9", "q + 31"], ["q", "j + 3", "j + 34"], ["j", "g + 9", "g + 43"], ["g", 7, "50"]], "target_var_name": "d", "target_value": 50, "value_dict": {"g": 7}, "is_reverse": true}}
| 3,911
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = q + 9; d = a + 1; j = g + 9; l = n + 14; k = t + 10; c = g + 8; h = y + 11; u = c + 14; a = h + 10; t = u + 11; g = 7; q = j + 3; n = k + 16. If g = 7, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 50,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = h + 10 to d, which gives d = h + 11.\n2. Substitute h = y + 11 to d, which gives d = y + 22.\n3. Substitute y = q + 9 to d, which gives d = q + 31.\n4. Substitute q = j + 3 to d, which gives d = j + 34.\n5. Substitute j = g + 9 to d, which gives d = g + 43.\n6. Substitute g = 7 to d, which gives d = 50.\n\nThus, the final answer is d = \\boxed{50}.",
"index": 3911,
"question": "Consider a system of variables where each variable is defined as follows: y = q + 9; d = a + 1; j = g + 9; l = n + 14; k = t + 10; c = g + 8; h = y + 11; u = c + 14; a = h + 10; t = u + 11; g = 7; q = j + 3; n = k + 16. If g = 7, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"c": "n + 6", "a": "c + 2", "i": "a + 8", "f": "i + 8", "r": "f + 9", "w": "r + 10", "q": "n + 8", "d": "q + 18", "m": "d + 4", "v": "m + 13", "k": "v + 10", "x": "k + 10", "n": 15}, "premises": {"n": 15}, "target": "w"}, "answer": {"steps": [["r", "f + 9", "f + 19"], ["f", "i + 8", "i + 27"], ["i", "a + 8", "a + 35"], ["a", "c + 2", "c + 37"], ["c", "n + 6", "n + 43"], ["n", 15, "58"]], "target_var_name": "w", "target_value": 58, "value_dict": {"n": 15}, "is_reverse": true}}
| 3,912
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = n + 6; a = c + 2; n = 15; f = i + 8; x = k + 10; m = d + 4; k = v + 10; d = q + 18; r = f + 9; w = r + 10; v = m + 13; i = a + 8; q = n + 8. If n = 15, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = f + 9 to w, which gives w = f + 19.\n2. Substitute f = i + 8 to w, which gives w = i + 27.\n3. Substitute i = a + 8 to w, which gives w = a + 35.\n4. Substitute a = c + 2 to w, which gives w = c + 37.\n5. Substitute c = n + 6 to w, which gives w = n + 43.\n6. Substitute n = 15 to w, which gives w = 58.\n\nThus, the final answer is w = \\boxed{58}.",
"index": 3912,
"question": "Consider a system of variables where each variable is defined as follows: c = n + 6; a = c + 2; n = 15; f = i + 8; x = k + 10; m = d + 4; k = v + 10; d = q + 18; r = f + 9; w = r + 10; v = m + 13; i = a + 8; q = n + 8. If n = 15, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"l": "e + 6", "v": "l + 19", "c": "v + 10", "m": "c + 19", "s": "m + 5", "w": "s + 14", "z": "e + 4", "b": "z + 14", "p": "b + 18", "y": "p + 14", "x": "y + 14", "o": "x + 11", "e": 4}, "premises": {"e": 4}, "target": "w"}, "answer": {"steps": [["s", "m + 5", "m + 19"], ["m", "c + 19", "c + 38"], ["c", "v + 10", "v + 48"], ["v", "l + 19", "l + 67"], ["l", "e + 6", "e + 73"], ["e", 4, "77"]], "target_var_name": "w", "target_value": 77, "value_dict": {"e": 4}, "is_reverse": true}}
| 3,913
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = c + 19; y = p + 14; b = z + 14; w = s + 14; x = y + 14; p = b + 18; z = e + 4; v = l + 19; s = m + 5; e = 4; l = e + 6; o = x + 11; c = v + 10. If e = 4, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = m + 5 to w, which gives w = m + 19.\n2. Substitute m = c + 19 to w, which gives w = c + 38.\n3. Substitute c = v + 10 to w, which gives w = v + 48.\n4. Substitute v = l + 19 to w, which gives w = l + 67.\n5. Substitute l = e + 6 to w, which gives w = e + 73.\n6. Substitute e = 4 to w, which gives w = 77.\n\nThus, the final answer is w = \\boxed{77}.",
"index": 3913,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = c + 19; y = p + 14; b = z + 14; w = s + 14; x = y + 14; p = b + 18; z = e + 4; v = l + 19; s = m + 5; e = 4; l = e + 6; o = x + 11; c = v + 10. If e = 4, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"s": "n + 15", "m": "s + 5", "d": "m + 11", "l": "d + 14", "x": "l + 15", "j": "x + 9", "b": "n + 14", "g": "b + 8", "v": "g + 18", "h": "v + 15", "u": "h + 12", "o": "u + 1", "n": 12}, "premises": {"n": 12}, "target": "j"}, "answer": {"steps": [["x", "l + 15", "l + 24"], ["l", "d + 14", "d + 38"], ["d", "m + 11", "m + 49"], ["m", "s + 5", "s + 54"], ["s", "n + 15", "n + 69"], ["n", 12, "81"]], "target_var_name": "j", "target_value": 81, "value_dict": {"n": 12}, "is_reverse": true}}
| 3,914
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = l + 15; s = n + 15; b = n + 14; h = v + 15; m = s + 5; u = h + 12; j = x + 9; l = d + 14; n = 12; v = g + 18; g = b + 8; o = u + 1; d = m + 11. If n = 12, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = l + 15 to j, which gives j = l + 24.\n2. Substitute l = d + 14 to j, which gives j = d + 38.\n3. Substitute d = m + 11 to j, which gives j = m + 49.\n4. Substitute m = s + 5 to j, which gives j = s + 54.\n5. Substitute s = n + 15 to j, which gives j = n + 69.\n6. Substitute n = 12 to j, which gives j = 81.\n\nThus, the final answer is j = \\boxed{81}.",
"index": 3914,
"question": "Consider a system of variables where each variable is defined as follows: x = l + 15; s = n + 15; b = n + 14; h = v + 15; m = s + 5; u = h + 12; j = x + 9; l = d + 14; n = 12; v = g + 18; g = b + 8; o = u + 1; d = m + 11. If n = 12, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"e": "g + 1", "h": "e + 7", "u": "h + 14", "o": "u + 17", "r": "o + 19", "p": "r + 5", "w": "g + 17", "x": "w + 1", "t": "x + 20", "z": "t + 3", "y": "z + 15", "k": "y + 11", "g": 20}, "premises": {"g": 20}, "target": "p"}, "answer": {"steps": [["r", "o + 19", "o + 24"], ["o", "u + 17", "u + 41"], ["u", "h + 14", "h + 55"], ["h", "e + 7", "e + 62"], ["e", "g + 1", "g + 63"], ["g", 20, "83"]], "target_var_name": "p", "target_value": 83, "value_dict": {"g": 20}, "is_reverse": true}}
| 3,915
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = h + 14; y = z + 15; t = x + 20; e = g + 1; k = y + 11; w = g + 17; p = r + 5; h = e + 7; x = w + 1; r = o + 19; z = t + 3; o = u + 17; g = 20. If g = 20, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = o + 19 to p, which gives p = o + 24.\n2. Substitute o = u + 17 to p, which gives p = u + 41.\n3. Substitute u = h + 14 to p, which gives p = h + 55.\n4. Substitute h = e + 7 to p, which gives p = e + 62.\n5. Substitute e = g + 1 to p, which gives p = g + 63.\n6. Substitute g = 20 to p, which gives p = 83.\n\nThus, the final answer is p = \\boxed{83}.",
"index": 3915,
"question": "Consider a system of variables where each variable is defined as follows: u = h + 14; y = z + 15; t = x + 20; e = g + 1; k = y + 11; w = g + 17; p = r + 5; h = e + 7; x = w + 1; r = o + 19; z = t + 3; o = u + 17; g = 20. If g = 20, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"v": "i + 4", "p": "v + 14", "f": "p + 2", "m": "f + 5", "z": "m + 6", "y": "z + 18", "x": "i + 20", "s": "x + 13", "j": "s + 10", "q": "j + 17", "n": "q + 14", "a": "n + 20", "i": 2}, "premises": {"i": 2}, "target": "y"}, "answer": {"steps": [["z", "m + 6", "m + 24"], ["m", "f + 5", "f + 29"], ["f", "p + 2", "p + 31"], ["p", "v + 14", "v + 45"], ["v", "i + 4", "i + 49"], ["i", 2, "51"]], "target_var_name": "y", "target_value": 51, "value_dict": {"i": 2}, "is_reverse": true}}
| 3,916
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = z + 18; i = 2; v = i + 4; n = q + 14; m = f + 5; j = s + 10; z = m + 6; p = v + 14; a = n + 20; s = x + 13; f = p + 2; q = j + 17; x = i + 20. Given that i = 2, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = m + 6 to y, which gives y = m + 24.\n2. Substitute m = f + 5 to y, which gives y = f + 29.\n3. Substitute f = p + 2 to y, which gives y = p + 31.\n4. Substitute p = v + 14 to y, which gives y = v + 45.\n5. Substitute v = i + 4 to y, which gives y = i + 49.\n6. Substitute i = 2 to y, which gives y = 51.\n\nThus, the final answer is y = \\boxed{51}.",
"index": 3916,
"question": "Suppose a collection of variables is related by the following definitions: y = z + 18; i = 2; v = i + 4; n = q + 14; m = f + 5; j = s + 10; z = m + 6; p = v + 14; a = n + 20; s = x + 13; f = p + 2; q = j + 17; x = i + 20. Given that i = 2, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"e": "y + 15", "t": "e + 4", "z": "t + 6", "i": "z + 17", "s": "i + 3", "b": "s + 13", "v": "y + 17", "w": "v + 4", "o": "w + 13", "d": "o + 3", "q": "d + 18", "a": "q + 9", "y": 6}, "premises": {"y": 6}, "target": "b"}, "answer": {"steps": [["s", "i + 3", "i + 16"], ["i", "z + 17", "z + 33"], ["z", "t + 6", "t + 39"], ["t", "e + 4", "e + 43"], ["e", "y + 15", "y + 58"], ["y", 6, "64"]], "target_var_name": "b", "target_value": 64, "value_dict": {"y": 6}, "is_reverse": true}}
| 3,917
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = s + 13; w = v + 4; d = o + 3; s = i + 3; t = e + 4; i = z + 17; e = y + 15; a = q + 9; o = w + 13; y = 6; q = d + 18; z = t + 6; v = y + 17. Given that y = 6, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = i + 3 to b, which gives b = i + 16.\n2. Substitute i = z + 17 to b, which gives b = z + 33.\n3. Substitute z = t + 6 to b, which gives b = t + 39.\n4. Substitute t = e + 4 to b, which gives b = e + 43.\n5. Substitute e = y + 15 to b, which gives b = y + 58.\n6. Substitute y = 6 to b, which gives b = 64.\n\nThus, the final answer is b = \\boxed{64}.",
"index": 3917,
"question": "Suppose a collection of variables is related by the following definitions: b = s + 13; w = v + 4; d = o + 3; s = i + 3; t = e + 4; i = z + 17; e = y + 15; a = q + 9; o = w + 13; y = 6; q = d + 18; z = t + 6; v = y + 17. Given that y = 6, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"m": "c + 2", "v": "m + 16", "x": "v + 3", "r": "x + 2", "t": "r + 7", "f": "t + 5", "l": "c + 7", "o": "l + 14", "s": "o + 14", "i": "s + 2", "w": "i + 15", "b": "w + 11", "c": 14}, "premises": {"c": 14}, "target": "f"}, "answer": {"steps": [["t", "r + 7", "r + 12"], ["r", "x + 2", "x + 14"], ["x", "v + 3", "v + 17"], ["v", "m + 16", "m + 33"], ["m", "c + 2", "c + 35"], ["c", 14, "49"]], "target_var_name": "f", "target_value": 49, "value_dict": {"c": 14}, "is_reverse": true}}
| 3,918
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = v + 3; c = 14; w = i + 15; i = s + 2; m = c + 2; t = r + 7; b = w + 11; l = c + 7; o = l + 14; f = t + 5; s = o + 14; r = x + 2; v = m + 16. If c = 14, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = r + 7 to f, which gives f = r + 12.\n2. Substitute r = x + 2 to f, which gives f = x + 14.\n3. Substitute x = v + 3 to f, which gives f = v + 17.\n4. Substitute v = m + 16 to f, which gives f = m + 33.\n5. Substitute m = c + 2 to f, which gives f = c + 35.\n6. Substitute c = 14 to f, which gives f = 49.\n\nThus, the final answer is f = \\boxed{49}.",
"index": 3918,
"question": "Consider a system of variables where each variable is defined as follows: x = v + 3; c = 14; w = i + 15; i = s + 2; m = c + 2; t = r + 7; b = w + 11; l = c + 7; o = l + 14; f = t + 5; s = o + 14; r = x + 2; v = m + 16. If c = 14, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"x": "c + 3", "f": "x + 6", "d": "f + 18", "e": "d + 17", "z": "e + 7", "u": "z + 10", "t": "c + 6", "h": "t + 6", "m": "h + 4", "s": "m + 14", "g": "s + 13", "q": "g + 19", "c": 7}, "premises": {"c": 7}, "target": "u"}, "answer": {"steps": [["z", "e + 7", "e + 17"], ["e", "d + 17", "d + 34"], ["d", "f + 18", "f + 52"], ["f", "x + 6", "x + 58"], ["x", "c + 3", "c + 61"], ["c", 7, "68"]], "target_var_name": "u", "target_value": 68, "value_dict": {"c": 7}, "is_reverse": true}}
| 3,919
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = f + 18; m = h + 4; u = z + 10; h = t + 6; g = s + 13; t = c + 6; x = c + 3; z = e + 7; e = d + 17; c = 7; f = x + 6; q = g + 19; s = m + 14. If c = 7, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = e + 7 to u, which gives u = e + 17.\n2. Substitute e = d + 17 to u, which gives u = d + 34.\n3. Substitute d = f + 18 to u, which gives u = f + 52.\n4. Substitute f = x + 6 to u, which gives u = x + 58.\n5. Substitute x = c + 3 to u, which gives u = c + 61.\n6. Substitute c = 7 to u, which gives u = 68.\n\nThus, the final answer is u = \\boxed{68}.",
"index": 3919,
"question": "Consider a system of variables where each variable is defined as follows: d = f + 18; m = h + 4; u = z + 10; h = t + 6; g = s + 13; t = c + 6; x = c + 3; z = e + 7; e = d + 17; c = 7; f = x + 6; q = g + 19; s = m + 14. If c = 7, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"y": "b + 20", "c": "y + 1", "u": "c + 5", "l": "u + 13", "r": "l + 6", "g": "r + 12", "s": "b + 7", "j": "s + 1", "o": "j + 7", "a": "o + 19", "v": "a + 17", "t": "v + 6", "b": 17}, "premises": {"b": 17}, "target": "g"}, "answer": {"steps": [["r", "l + 6", "l + 18"], ["l", "u + 13", "u + 31"], ["u", "c + 5", "c + 36"], ["c", "y + 1", "y + 37"], ["y", "b + 20", "b + 57"], ["b", 17, "74"]], "target_var_name": "g", "target_value": 74, "value_dict": {"b": 17}, "is_reverse": true}}
| 3,920
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = j + 7; j = s + 1; s = b + 7; y = b + 20; v = a + 17; b = 17; l = u + 13; t = v + 6; c = y + 1; u = c + 5; r = l + 6; g = r + 12; a = o + 19. If b = 17, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = l + 6 to g, which gives g = l + 18.\n2. Substitute l = u + 13 to g, which gives g = u + 31.\n3. Substitute u = c + 5 to g, which gives g = c + 36.\n4. Substitute c = y + 1 to g, which gives g = y + 37.\n5. Substitute y = b + 20 to g, which gives g = b + 57.\n6. Substitute b = 17 to g, which gives g = 74.\n\nThus, the final answer is g = \\boxed{74}.",
"index": 3920,
"question": "Consider a system of variables where each variable is defined as follows: o = j + 7; j = s + 1; s = b + 7; y = b + 20; v = a + 17; b = 17; l = u + 13; t = v + 6; c = y + 1; u = c + 5; r = l + 6; g = r + 12; a = o + 19. If b = 17, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"l": "o + 11", "a": "l + 6", "s": "a + 5", "g": "s + 17", "h": "g + 15", "k": "h + 6", "z": "o + 11", "y": "z + 14", "t": "y + 5", "v": "t + 7", "j": "v + 8", "u": "j + 16", "o": 14}, "premises": {"o": 14}, "target": "k"}, "answer": {"steps": [["h", "g + 15", "g + 21"], ["g", "s + 17", "s + 38"], ["s", "a + 5", "a + 43"], ["a", "l + 6", "l + 49"], ["l", "o + 11", "o + 60"], ["o", 14, "74"]], "target_var_name": "k", "target_value": 74, "value_dict": {"o": 14}, "is_reverse": true}}
| 3,921
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = o + 11; j = v + 8; t = y + 5; y = z + 14; o = 14; h = g + 15; k = h + 6; a = l + 6; s = a + 5; z = o + 11; g = s + 17; v = t + 7; u = j + 16. If o = 14, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = g + 15 to k, which gives k = g + 21.\n2. Substitute g = s + 17 to k, which gives k = s + 38.\n3. Substitute s = a + 5 to k, which gives k = a + 43.\n4. Substitute a = l + 6 to k, which gives k = l + 49.\n5. Substitute l = o + 11 to k, which gives k = o + 60.\n6. Substitute o = 14 to k, which gives k = 74.\n\nThus, the final answer is k = \\boxed{74}.",
"index": 3921,
"question": "Consider a system of variables where each variable is defined as follows: l = o + 11; j = v + 8; t = y + 5; y = z + 14; o = 14; h = g + 15; k = h + 6; a = l + 6; s = a + 5; z = o + 11; g = s + 17; v = t + 7; u = j + 16. If o = 14, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"i": "o + 12", "w": "i + 13", "v": "w + 9", "h": "v + 20", "y": "h + 6", "d": "y + 18", "u": "o + 10", "j": "u + 3", "k": "j + 8", "x": "k + 5", "e": "x + 20", "m": "e + 16", "o": 12}, "premises": {"o": 12}, "target": "d"}, "answer": {"steps": [["y", "h + 6", "h + 24"], ["h", "v + 20", "v + 44"], ["v", "w + 9", "w + 53"], ["w", "i + 13", "i + 66"], ["i", "o + 12", "o + 78"], ["o", 12, "90"]], "target_var_name": "d", "target_value": 90, "value_dict": {"o": 12}, "is_reverse": true}}
| 3,922
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = u + 3; k = j + 8; m = e + 16; w = i + 13; u = o + 10; v = w + 9; o = 12; y = h + 6; e = x + 20; i = o + 12; h = v + 20; d = y + 18; x = k + 5. If o = 12, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = h + 6 to d, which gives d = h + 24.\n2. Substitute h = v + 20 to d, which gives d = v + 44.\n3. Substitute v = w + 9 to d, which gives d = w + 53.\n4. Substitute w = i + 13 to d, which gives d = i + 66.\n5. Substitute i = o + 12 to d, which gives d = o + 78.\n6. Substitute o = 12 to d, which gives d = 90.\n\nThus, the final answer is d = \\boxed{90}.",
"index": 3922,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = u + 3; k = j + 8; m = e + 16; w = i + 13; u = o + 10; v = w + 9; o = 12; y = h + 6; e = x + 20; i = o + 12; h = v + 20; d = y + 18; x = k + 5. If o = 12, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"y": "k + 11", "a": "y + 11", "p": "a + 8", "e": "p + 1", "g": "e + 1", "s": "g + 6", "u": "k + 11", "b": "u + 14", "f": "b + 3", "r": "f + 8", "i": "r + 16", "h": "i + 13", "k": 11}, "premises": {"k": 11}, "target": "s"}, "answer": {"steps": [["g", "e + 1", "e + 7"], ["e", "p + 1", "p + 8"], ["p", "a + 8", "a + 16"], ["a", "y + 11", "y + 27"], ["y", "k + 11", "k + 38"], ["k", 11, "49"]], "target_var_name": "s", "target_value": 49, "value_dict": {"k": 11}, "is_reverse": true}}
| 3,923
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = k + 11; f = b + 3; e = p + 1; p = a + 8; r = f + 8; g = e + 1; h = i + 13; y = k + 11; a = y + 11; s = g + 6; k = 11; b = u + 14; i = r + 16. If k = 11, 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 g = e + 1 to s, which gives s = e + 7.\n2. Substitute e = p + 1 to s, which gives s = p + 8.\n3. Substitute p = a + 8 to s, which gives s = a + 16.\n4. Substitute a = y + 11 to s, which gives s = y + 27.\n5. Substitute y = k + 11 to s, which gives s = k + 38.\n6. Substitute k = 11 to s, which gives s = 49.\n\nThus, the final answer is s = \\boxed{49}.",
"index": 3923,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = k + 11; f = b + 3; e = p + 1; p = a + 8; r = f + 8; g = e + 1; h = i + 13; y = k + 11; a = y + 11; s = g + 6; k = 11; b = u + 14; i = r + 16. If k = 11, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"b": "i + 18", "h": "b + 12", "k": "h + 2", "y": "k + 14", "j": "y + 3", "a": "j + 3", "u": "i + 4", "w": "u + 11", "t": "w + 17", "f": "t + 14", "r": "f + 19", "x": "r + 14", "i": 10}, "premises": {"i": 10}, "target": "a"}, "answer": {"steps": [["j", "y + 3", "y + 6"], ["y", "k + 14", "k + 20"], ["k", "h + 2", "h + 22"], ["h", "b + 12", "b + 34"], ["b", "i + 18", "i + 52"], ["i", 10, "62"]], "target_var_name": "a", "target_value": 62, "value_dict": {"i": 10}, "is_reverse": true}}
| 3,924
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = u + 11; h = b + 12; b = i + 18; t = w + 17; r = f + 19; a = j + 3; j = y + 3; k = h + 2; u = i + 4; i = 10; y = k + 14; f = t + 14; x = r + 14. If i = 10, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = y + 3 to a, which gives a = y + 6.\n2. Substitute y = k + 14 to a, which gives a = k + 20.\n3. Substitute k = h + 2 to a, which gives a = h + 22.\n4. Substitute h = b + 12 to a, which gives a = b + 34.\n5. Substitute b = i + 18 to a, which gives a = i + 52.\n6. Substitute i = 10 to a, which gives a = 62.\n\nThus, the final answer is a = \\boxed{62}.",
"index": 3924,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = u + 11; h = b + 12; b = i + 18; t = w + 17; r = f + 19; a = j + 3; j = y + 3; k = h + 2; u = i + 4; i = 10; y = k + 14; f = t + 14; x = r + 14. If i = 10, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"d": "k + 8", "i": "d + 20", "f": "i + 5", "h": "f + 8", "o": "h + 14", "q": "o + 2", "b": "k + 15", "x": "b + 12", "g": "x + 1", "l": "g + 13", "n": "l + 11", "z": "n + 6", "k": 19}, "premises": {"k": 19}, "target": "q"}, "answer": {"steps": [["o", "h + 14", "h + 16"], ["h", "f + 8", "f + 24"], ["f", "i + 5", "i + 29"], ["i", "d + 20", "d + 49"], ["d", "k + 8", "k + 57"], ["k", 19, "76"]], "target_var_name": "q", "target_value": 76, "value_dict": {"k": 19}, "is_reverse": true}}
| 3,925
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = f + 8; o = h + 14; l = g + 13; x = b + 12; f = i + 5; n = l + 11; i = d + 20; z = n + 6; d = k + 8; b = k + 15; k = 19; q = o + 2; g = x + 1. If k = 19, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = h + 14 to q, which gives q = h + 16.\n2. Substitute h = f + 8 to q, which gives q = f + 24.\n3. Substitute f = i + 5 to q, which gives q = i + 29.\n4. Substitute i = d + 20 to q, which gives q = d + 49.\n5. Substitute d = k + 8 to q, which gives q = k + 57.\n6. Substitute k = 19 to q, which gives q = 76.\n\nThus, the final answer is q = \\boxed{76}.",
"index": 3925,
"question": "Consider a system of variables where each variable is defined as follows: h = f + 8; o = h + 14; l = g + 13; x = b + 12; f = i + 5; n = l + 11; i = d + 20; z = n + 6; d = k + 8; b = k + 15; k = 19; q = o + 2; g = x + 1. If k = 19, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"b": "v + 4", "x": "b + 3", "p": "x + 20", "r": "p + 14", "o": "r + 9", "h": "o + 6", "m": "v + 8", "j": "m + 16", "w": "j + 7", "y": "w + 18", "s": "y + 2", "t": "s + 6", "v": 17}, "premises": {"v": 17}, "target": "h"}, "answer": {"steps": [["o", "r + 9", "r + 15"], ["r", "p + 14", "p + 29"], ["p", "x + 20", "x + 49"], ["x", "b + 3", "b + 52"], ["b", "v + 4", "v + 56"], ["v", 17, "73"]], "target_var_name": "h", "target_value": 73, "value_dict": {"v": 17}, "is_reverse": true}}
| 3,926
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = o + 6; b = v + 4; o = r + 9; m = v + 8; y = w + 18; s = y + 2; r = p + 14; j = m + 16; v = 17; t = s + 6; p = x + 20; x = b + 3; w = j + 7. If v = 17, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = r + 9 to h, which gives h = r + 15.\n2. Substitute r = p + 14 to h, which gives h = p + 29.\n3. Substitute p = x + 20 to h, which gives h = x + 49.\n4. Substitute x = b + 3 to h, which gives h = b + 52.\n5. Substitute b = v + 4 to h, which gives h = v + 56.\n6. Substitute v = 17 to h, which gives h = 73.\n\nThus, the final answer is h = \\boxed{73}.",
"index": 3926,
"question": "Consider a system of variables where each variable is defined as follows: h = o + 6; b = v + 4; o = r + 9; m = v + 8; y = w + 18; s = y + 2; r = p + 14; j = m + 16; v = 17; t = s + 6; p = x + 20; x = b + 3; w = j + 7. If v = 17, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"q": "e + 6", "h": "q + 10", "w": "h + 9", "a": "w + 7", "i": "a + 6", "k": "i + 2", "o": "e + 19", "c": "o + 9", "g": "c + 5", "p": "g + 20", "n": "p + 10", "y": "n + 8", "e": 18}, "premises": {"e": 18}, "target": "k"}, "answer": {"steps": [["i", "a + 6", "a + 8"], ["a", "w + 7", "w + 15"], ["w", "h + 9", "h + 24"], ["h", "q + 10", "q + 34"], ["q", "e + 6", "e + 40"], ["e", 18, "58"]], "target_var_name": "k", "target_value": 58, "value_dict": {"e": 18}, "is_reverse": true}}
| 3,927
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = p + 10; h = q + 10; i = a + 6; q = e + 6; c = o + 9; a = w + 7; p = g + 20; e = 18; k = i + 2; g = c + 5; o = e + 19; w = h + 9; y = n + 8. Given that e = 18, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = a + 6 to k, which gives k = a + 8.\n2. Substitute a = w + 7 to k, which gives k = w + 15.\n3. Substitute w = h + 9 to k, which gives k = h + 24.\n4. Substitute h = q + 10 to k, which gives k = q + 34.\n5. Substitute q = e + 6 to k, which gives k = e + 40.\n6. Substitute e = 18 to k, which gives k = 58.\n\nThus, the final answer is k = \\boxed{58}.",
"index": 3927,
"question": "Suppose a collection of variables is related by the following definitions: n = p + 10; h = q + 10; i = a + 6; q = e + 6; c = o + 9; a = w + 7; p = g + 20; e = 18; k = i + 2; g = c + 5; o = e + 19; w = h + 9; y = n + 8. Given that e = 18, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"v": "p + 17", "r": "v + 6", "t": "r + 1", "z": "t + 14", "b": "z + 17", "w": "b + 20", "h": "p + 20", "c": "h + 14", "g": "c + 9", "k": "g + 10", "e": "k + 11", "q": "e + 15", "p": 16}, "premises": {"p": 16}, "target": "w"}, "answer": {"steps": [["b", "z + 17", "z + 37"], ["z", "t + 14", "t + 51"], ["t", "r + 1", "r + 52"], ["r", "v + 6", "v + 58"], ["v", "p + 17", "p + 75"], ["p", 16, "91"]], "target_var_name": "w", "target_value": 91, "value_dict": {"p": 16}, "is_reverse": true}}
| 3,928
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = b + 20; c = h + 14; v = p + 17; g = c + 9; z = t + 14; t = r + 1; r = v + 6; e = k + 11; h = p + 20; p = 16; q = e + 15; b = z + 17; k = g + 10. If p = 16, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = z + 17 to w, which gives w = z + 37.\n2. Substitute z = t + 14 to w, which gives w = t + 51.\n3. Substitute t = r + 1 to w, which gives w = r + 52.\n4. Substitute r = v + 6 to w, which gives w = v + 58.\n5. Substitute v = p + 17 to w, which gives w = p + 75.\n6. Substitute p = 16 to w, which gives w = 91.\n\nThus, the final answer is w = \\boxed{91}.",
"index": 3928,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = b + 20; c = h + 14; v = p + 17; g = c + 9; z = t + 14; t = r + 1; r = v + 6; e = k + 11; h = p + 20; p = 16; q = e + 15; b = z + 17; k = g + 10. If p = 16, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"u": "p + 20", "w": "u + 7", "c": "w + 1", "v": "c + 20", "o": "v + 20", "e": "o + 2", "f": "p + 6", "k": "f + 3", "s": "k + 11", "d": "s + 2", "y": "d + 2", "h": "y + 6", "p": 19}, "premises": {"p": 19}, "target": "e"}, "answer": {"steps": [["o", "v + 20", "v + 22"], ["v", "c + 20", "c + 42"], ["c", "w + 1", "w + 43"], ["w", "u + 7", "u + 50"], ["u", "p + 20", "p + 70"], ["p", 19, "89"]], "target_var_name": "e", "target_value": 89, "value_dict": {"p": 19}, "is_reverse": true}}
| 3,929
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = c + 20; y = d + 2; d = s + 2; f = p + 6; o = v + 20; u = p + 20; e = o + 2; w = u + 7; s = k + 11; c = w + 1; p = 19; k = f + 3; h = y + 6. If p = 19, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = v + 20 to e, which gives e = v + 22.\n2. Substitute v = c + 20 to e, which gives e = c + 42.\n3. Substitute c = w + 1 to e, which gives e = w + 43.\n4. Substitute w = u + 7 to e, which gives e = u + 50.\n5. Substitute u = p + 20 to e, which gives e = p + 70.\n6. Substitute p = 19 to e, which gives e = 89.\n\nThus, the final answer is e = \\boxed{89}.",
"index": 3929,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = c + 20; y = d + 2; d = s + 2; f = p + 6; o = v + 20; u = p + 20; e = o + 2; w = u + 7; s = k + 11; c = w + 1; p = 19; k = f + 3; h = y + 6. If p = 19, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"a": "l + 6", "p": "a + 8", "i": "p + 7", "h": "i + 18", "s": "h + 14", "v": "s + 5", "d": "l + 17", "w": "d + 8", "e": "w + 7", "y": "e + 1", "o": "y + 15", "j": "o + 14", "l": 13}, "premises": {"l": 13}, "target": "v"}, "answer": {"steps": [["s", "h + 14", "h + 19"], ["h", "i + 18", "i + 37"], ["i", "p + 7", "p + 44"], ["p", "a + 8", "a + 52"], ["a", "l + 6", "l + 58"], ["l", 13, "71"]], "target_var_name": "v", "target_value": 71, "value_dict": {"l": 13}, "is_reverse": true}}
| 3,930
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = l + 6; s = h + 14; j = o + 14; v = s + 5; y = e + 1; h = i + 18; w = d + 8; l = 13; o = y + 15; e = w + 7; i = p + 7; p = a + 8; d = l + 17. Given that l = 13, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = h + 14 to v, which gives v = h + 19.\n2. Substitute h = i + 18 to v, which gives v = i + 37.\n3. Substitute i = p + 7 to v, which gives v = p + 44.\n4. Substitute p = a + 8 to v, which gives v = a + 52.\n5. Substitute a = l + 6 to v, which gives v = l + 58.\n6. Substitute l = 13 to v, which gives v = 71.\n\nThus, the final answer is v = \\boxed{71}.",
"index": 3930,
"question": "Suppose a collection of variables is related by the following definitions: a = l + 6; s = h + 14; j = o + 14; v = s + 5; y = e + 1; h = i + 18; w = d + 8; l = 13; o = y + 15; e = w + 7; i = p + 7; p = a + 8; d = l + 17. Given that l = 13, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"x": "j + 17", "m": "x + 10", "y": "m + 14", "w": "y + 2", "z": "w + 10", "b": "z + 13", "s": "j + 18", "q": "s + 14", "t": "q + 20", "k": "t + 10", "o": "k + 5", "v": "o + 3", "j": 13}, "premises": {"j": 13}, "target": "b"}, "answer": {"steps": [["z", "w + 10", "w + 23"], ["w", "y + 2", "y + 25"], ["y", "m + 14", "m + 39"], ["m", "x + 10", "x + 49"], ["x", "j + 17", "j + 66"], ["j", 13, "79"]], "target_var_name": "b", "target_value": 79, "value_dict": {"j": 13}, "is_reverse": true}}
| 3,931
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = m + 14; b = z + 13; t = q + 20; z = w + 10; v = o + 3; j = 13; k = t + 10; s = j + 18; m = x + 10; q = s + 14; o = k + 5; x = j + 17; w = y + 2. Given that j = 13, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = w + 10 to b, which gives b = w + 23.\n2. Substitute w = y + 2 to b, which gives b = y + 25.\n3. Substitute y = m + 14 to b, which gives b = m + 39.\n4. Substitute m = x + 10 to b, which gives b = x + 49.\n5. Substitute x = j + 17 to b, which gives b = j + 66.\n6. Substitute j = 13 to b, which gives b = 79.\n\nThus, the final answer is b = \\boxed{79}.",
"index": 3931,
"question": "Suppose a collection of variables is related by the following definitions: y = m + 14; b = z + 13; t = q + 20; z = w + 10; v = o + 3; j = 13; k = t + 10; s = j + 18; m = x + 10; q = s + 14; o = k + 5; x = j + 17; w = y + 2. Given that j = 13, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"o": "k + 6", "d": "o + 16", "h": "d + 20", "e": "h + 9", "y": "e + 9", "b": "y + 6", "v": "k + 18", "i": "v + 12", "g": "i + 4", "x": "g + 1", "c": "x + 10", "t": "c + 2", "k": 12}, "premises": {"k": 12}, "target": "b"}, "answer": {"steps": [["y", "e + 9", "e + 15"], ["e", "h + 9", "h + 24"], ["h", "d + 20", "d + 44"], ["d", "o + 16", "o + 60"], ["o", "k + 6", "k + 66"], ["k", 12, "78"]], "target_var_name": "b", "target_value": 78, "value_dict": {"k": 12}, "is_reverse": true}}
| 3,932
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = c + 2; d = o + 16; h = d + 20; x = g + 1; c = x + 10; y = e + 9; v = k + 18; g = i + 4; i = v + 12; k = 12; b = y + 6; o = k + 6; e = h + 9. Given that k = 12, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = e + 9 to b, which gives b = e + 15.\n2. Substitute e = h + 9 to b, which gives b = h + 24.\n3. Substitute h = d + 20 to b, which gives b = d + 44.\n4. Substitute d = o + 16 to b, which gives b = o + 60.\n5. Substitute o = k + 6 to b, which gives b = k + 66.\n6. Substitute k = 12 to b, which gives b = 78.\n\nThus, the final answer is b = \\boxed{78}.",
"index": 3932,
"question": "Suppose a collection of variables is related by the following definitions: t = c + 2; d = o + 16; h = d + 20; x = g + 1; c = x + 10; y = e + 9; v = k + 18; g = i + 4; i = v + 12; k = 12; b = y + 6; o = k + 6; e = h + 9. Given that k = 12, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"n": "x + 12", "g": "n + 13", "p": "g + 10", "w": "p + 2", "m": "w + 20", "k": "m + 15", "s": "x + 16", "j": "s + 19", "y": "j + 12", "t": "y + 8", "r": "t + 10", "e": "r + 1", "x": 3}, "premises": {"x": 3}, "target": "k"}, "answer": {"steps": [["m", "w + 20", "w + 35"], ["w", "p + 2", "p + 37"], ["p", "g + 10", "g + 47"], ["g", "n + 13", "n + 60"], ["n", "x + 12", "x + 72"], ["x", 3, "75"]], "target_var_name": "k", "target_value": 75, "value_dict": {"x": 3}, "is_reverse": true}}
| 3,933
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = m + 15; n = x + 12; w = p + 2; m = w + 20; g = n + 13; j = s + 19; x = 3; s = x + 16; t = y + 8; y = j + 12; r = t + 10; e = r + 1; p = g + 10. Given that x = 3, find 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 m = w + 20 to k, which gives k = w + 35.\n2. Substitute w = p + 2 to k, which gives k = p + 37.\n3. Substitute p = g + 10 to k, which gives k = g + 47.\n4. Substitute g = n + 13 to k, which gives k = n + 60.\n5. Substitute n = x + 12 to k, which gives k = x + 72.\n6. Substitute x = 3 to k, which gives k = 75.\n\nThus, the final answer is k = \\boxed{75}.",
"index": 3933,
"question": "Suppose a collection of variables is related by the following definitions: k = m + 15; n = x + 12; w = p + 2; m = w + 20; g = n + 13; j = s + 19; x = 3; s = x + 16; t = y + 8; y = j + 12; r = t + 10; e = r + 1; p = g + 10. Given that x = 3, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"s": "c + 8", "g": "s + 6", "q": "g + 20", "f": "q + 3", "y": "f + 11", "n": "y + 1", "t": "c + 13", "r": "t + 1", "x": "r + 13", "h": "x + 5", "v": "h + 6", "u": "v + 18", "c": 15}, "premises": {"c": 15}, "target": "n"}, "answer": {"steps": [["y", "f + 11", "f + 12"], ["f", "q + 3", "q + 15"], ["q", "g + 20", "g + 35"], ["g", "s + 6", "s + 41"], ["s", "c + 8", "c + 49"], ["c", 15, "64"]], "target_var_name": "n", "target_value": 64, "value_dict": {"c": 15}, "is_reverse": true}}
| 3,934
| 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 = c + 13; f = q + 3; g = s + 6; r = t + 1; y = f + 11; h = x + 5; n = y + 1; u = v + 18; v = h + 6; c = 15; x = r + 13; s = c + 8; q = g + 20. If c = 15, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = f + 11 to n, which gives n = f + 12.\n2. Substitute f = q + 3 to n, which gives n = q + 15.\n3. Substitute q = g + 20 to n, which gives n = g + 35.\n4. Substitute g = s + 6 to n, which gives n = s + 41.\n5. Substitute s = c + 8 to n, which gives n = c + 49.\n6. Substitute c = 15 to n, which gives n = 64.\n\nThus, the final answer is n = \\boxed{64}.",
"index": 3934,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = c + 13; f = q + 3; g = s + 6; r = t + 1; y = f + 11; h = x + 5; n = y + 1; u = v + 18; v = h + 6; c = 15; x = r + 13; s = c + 8; q = g + 20. If c = 15, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"v": "o + 20", "m": "v + 10", "p": "m + 8", "q": "p + 11", "h": "q + 13", "a": "h + 3", "x": "o + 14", "n": "x + 1", "b": "n + 15", "j": "b + 15", "i": "j + 9", "f": "i + 18", "o": 19}, "premises": {"o": 19}, "target": "a"}, "answer": {"steps": [["h", "q + 13", "q + 16"], ["q", "p + 11", "p + 27"], ["p", "m + 8", "m + 35"], ["m", "v + 10", "v + 45"], ["v", "o + 20", "o + 65"], ["o", 19, "84"]], "target_var_name": "a", "target_value": 84, "value_dict": {"o": 19}, "is_reverse": true}}
| 3,935
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = 19; f = i + 18; h = q + 13; p = m + 8; m = v + 10; v = o + 20; b = n + 15; n = x + 1; j = b + 15; i = j + 9; x = o + 14; a = h + 3; q = p + 11. Given that o = 19, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = q + 13 to a, which gives a = q + 16.\n2. Substitute q = p + 11 to a, which gives a = p + 27.\n3. Substitute p = m + 8 to a, which gives a = m + 35.\n4. Substitute m = v + 10 to a, which gives a = v + 45.\n5. Substitute v = o + 20 to a, which gives a = o + 65.\n6. Substitute o = 19 to a, which gives a = 84.\n\nThus, the final answer is a = \\boxed{84}.",
"index": 3935,
"question": "Suppose a collection of variables is related by the following definitions: o = 19; f = i + 18; h = q + 13; p = m + 8; m = v + 10; v = o + 20; b = n + 15; n = x + 1; j = b + 15; i = j + 9; x = o + 14; a = h + 3; q = p + 11. Given that o = 19, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"p": "i + 19", "s": "p + 4", "u": "s + 3", "t": "u + 8", "z": "t + 5", "j": "z + 19", "h": "i + 9", "n": "h + 4", "a": "n + 9", "r": "a + 18", "g": "r + 9", "y": "g + 20", "i": 20}, "premises": {"i": 20}, "target": "j"}, "answer": {"steps": [["z", "t + 5", "t + 24"], ["t", "u + 8", "u + 32"], ["u", "s + 3", "s + 35"], ["s", "p + 4", "p + 39"], ["p", "i + 19", "i + 58"], ["i", 20, "78"]], "target_var_name": "j", "target_value": 78, "value_dict": {"i": 20}, "is_reverse": true}}
| 3,936
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = t + 5; r = a + 18; j = z + 19; h = i + 9; p = i + 19; s = p + 4; u = s + 3; a = n + 9; y = g + 20; g = r + 9; i = 20; t = u + 8; n = h + 4. If i = 20, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = t + 5 to j, which gives j = t + 24.\n2. Substitute t = u + 8 to j, which gives j = u + 32.\n3. Substitute u = s + 3 to j, which gives j = s + 35.\n4. Substitute s = p + 4 to j, which gives j = p + 39.\n5. Substitute p = i + 19 to j, which gives j = i + 58.\n6. Substitute i = 20 to j, which gives j = 78.\n\nThus, the final answer is j = \\boxed{78}.",
"index": 3936,
"question": "Consider a system of variables where each variable is defined as follows: z = t + 5; r = a + 18; j = z + 19; h = i + 9; p = i + 19; s = p + 4; u = s + 3; a = n + 9; y = g + 20; g = r + 9; i = 20; t = u + 8; n = h + 4. If i = 20, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"m": "v + 7", "a": "m + 6", "s": "a + 13", "h": "s + 12", "x": "h + 4", "n": "x + 12", "d": "v + 14", "g": "d + 15", "o": "g + 3", "u": "o + 4", "y": "u + 8", "z": "y + 7", "v": 20}, "premises": {"v": 20}, "target": "n"}, "answer": {"steps": [["x", "h + 4", "h + 16"], ["h", "s + 12", "s + 28"], ["s", "a + 13", "a + 41"], ["a", "m + 6", "m + 47"], ["m", "v + 7", "v + 54"], ["v", 20, "74"]], "target_var_name": "n", "target_value": 74, "value_dict": {"v": 20}, "is_reverse": true}}
| 3,937
| 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; m = v + 7; g = d + 15; a = m + 6; v = 20; x = h + 4; u = o + 4; n = x + 12; z = y + 7; y = u + 8; h = s + 12; o = g + 3; d = v + 14. If v = 20, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = h + 4 to n, which gives n = h + 16.\n2. Substitute h = s + 12 to n, which gives n = s + 28.\n3. Substitute s = a + 13 to n, which gives n = a + 41.\n4. Substitute a = m + 6 to n, which gives n = m + 47.\n5. Substitute m = v + 7 to n, which gives n = v + 54.\n6. Substitute v = 20 to n, which gives n = 74.\n\nThus, the final answer is n = \\boxed{74}.",
"index": 3937,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = a + 13; m = v + 7; g = d + 15; a = m + 6; v = 20; x = h + 4; u = o + 4; n = x + 12; z = y + 7; y = u + 8; h = s + 12; o = g + 3; d = v + 14. If v = 20, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"v": "e + 18", "b": "v + 8", "u": "b + 5", "t": "u + 7", "o": "t + 6", "i": "o + 16", "y": "e + 8", "z": "y + 17", "r": "z + 11", "s": "r + 10", "j": "s + 6", "k": "j + 3", "e": 2}, "premises": {"e": 2}, "target": "i"}, "answer": {"steps": [["o", "t + 6", "t + 22"], ["t", "u + 7", "u + 29"], ["u", "b + 5", "b + 34"], ["b", "v + 8", "v + 42"], ["v", "e + 18", "e + 60"], ["e", 2, "62"]], "target_var_name": "i", "target_value": 62, "value_dict": {"e": 2}, "is_reverse": true}}
| 3,938
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = z + 11; u = b + 5; t = u + 7; v = e + 18; i = o + 16; b = v + 8; s = r + 10; o = t + 6; j = s + 6; k = j + 3; e = 2; z = y + 17; y = e + 8. Given that e = 2, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = t + 6 to i, which gives i = t + 22.\n2. Substitute t = u + 7 to i, which gives i = u + 29.\n3. Substitute u = b + 5 to i, which gives i = b + 34.\n4. Substitute b = v + 8 to i, which gives i = v + 42.\n5. Substitute v = e + 18 to i, which gives i = e + 60.\n6. Substitute e = 2 to i, which gives i = 62.\n\nThus, the final answer is i = \\boxed{62}.",
"index": 3938,
"question": "Suppose a collection of variables is related by the following definitions: r = z + 11; u = b + 5; t = u + 7; v = e + 18; i = o + 16; b = v + 8; s = r + 10; o = t + 6; j = s + 6; k = j + 3; e = 2; z = y + 17; y = e + 8. Given that e = 2, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"c": "z + 4", "f": "c + 8", "y": "f + 4", "g": "y + 2", "p": "g + 13", "j": "p + 9", "t": "z + 15", "v": "t + 4", "b": "v + 15", "h": "b + 20", "u": "h + 10", "k": "u + 10", "z": 10}, "premises": {"z": 10}, "target": "j"}, "answer": {"steps": [["p", "g + 13", "g + 22"], ["g", "y + 2", "y + 24"], ["y", "f + 4", "f + 28"], ["f", "c + 8", "c + 36"], ["c", "z + 4", "z + 40"], ["z", 10, "50"]], "target_var_name": "j", "target_value": 50, "value_dict": {"z": 10}, "is_reverse": true}}
| 3,939
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = z + 15; f = c + 8; z = 10; k = u + 10; y = f + 4; g = y + 2; c = z + 4; h = b + 20; v = t + 4; b = v + 15; p = g + 13; u = h + 10; j = p + 9. Given that z = 10, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 50,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = g + 13 to j, which gives j = g + 22.\n2. Substitute g = y + 2 to j, which gives j = y + 24.\n3. Substitute y = f + 4 to j, which gives j = f + 28.\n4. Substitute f = c + 8 to j, which gives j = c + 36.\n5. Substitute c = z + 4 to j, which gives j = z + 40.\n6. Substitute z = 10 to j, which gives j = 50.\n\nThus, the final answer is j = \\boxed{50}.",
"index": 3939,
"question": "Suppose a collection of variables is related by the following definitions: t = z + 15; f = c + 8; z = 10; k = u + 10; y = f + 4; g = y + 2; c = z + 4; h = b + 20; v = t + 4; b = v + 15; p = g + 13; u = h + 10; j = p + 9. Given that z = 10, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"t": "y + 7", "i": "t + 6", "c": "i + 11", "v": "c + 1", "w": "v + 3", "l": "w + 20", "b": "y + 16", "m": "b + 16", "k": "m + 14", "p": "k + 16", "q": "p + 19", "u": "q + 18", "y": 3}, "premises": {"y": 3}, "target": "l"}, "answer": {"steps": [["w", "v + 3", "v + 23"], ["v", "c + 1", "c + 24"], ["c", "i + 11", "i + 35"], ["i", "t + 6", "t + 41"], ["t", "y + 7", "y + 48"], ["y", 3, "51"]], "target_var_name": "l", "target_value": 51, "value_dict": {"y": 3}, "is_reverse": true}}
| 3,940
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = b + 16; k = m + 14; v = c + 1; q = p + 19; b = y + 16; i = t + 6; p = k + 16; y = 3; w = v + 3; c = i + 11; u = q + 18; t = y + 7; l = w + 20. If y = 3, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = v + 3 to l, which gives l = v + 23.\n2. Substitute v = c + 1 to l, which gives l = c + 24.\n3. Substitute c = i + 11 to l, which gives l = i + 35.\n4. Substitute i = t + 6 to l, which gives l = t + 41.\n5. Substitute t = y + 7 to l, which gives l = y + 48.\n6. Substitute y = 3 to l, which gives l = 51.\n\nThus, the final answer is l = \\boxed{51}.",
"index": 3940,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = b + 16; k = m + 14; v = c + 1; q = p + 19; b = y + 16; i = t + 6; p = k + 16; y = 3; w = v + 3; c = i + 11; u = q + 18; t = y + 7; l = w + 20. If y = 3, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"p": "j + 19", "m": "p + 6", "a": "m + 17", "w": "a + 1", "v": "w + 3", "e": "v + 16", "u": "j + 12", "x": "u + 8", "g": "x + 3", "y": "g + 6", "h": "y + 14", "k": "h + 6", "j": 10}, "premises": {"j": 10}, "target": "e"}, "answer": {"steps": [["v", "w + 3", "w + 19"], ["w", "a + 1", "a + 20"], ["a", "m + 17", "m + 37"], ["m", "p + 6", "p + 43"], ["p", "j + 19", "j + 62"], ["j", 10, "72"]], "target_var_name": "e", "target_value": 72, "value_dict": {"j": 10}, "is_reverse": true}}
| 3,941
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = j + 12; k = h + 6; w = a + 1; h = y + 14; v = w + 3; a = m + 17; x = u + 8; j = 10; m = p + 6; y = g + 6; e = v + 16; g = x + 3; p = j + 19. If j = 10, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = w + 3 to e, which gives e = w + 19.\n2. Substitute w = a + 1 to e, which gives e = a + 20.\n3. Substitute a = m + 17 to e, which gives e = m + 37.\n4. Substitute m = p + 6 to e, which gives e = p + 43.\n5. Substitute p = j + 19 to e, which gives e = j + 62.\n6. Substitute j = 10 to e, which gives e = 72.\n\nThus, the final answer is e = \\boxed{72}.",
"index": 3941,
"question": "Consider a system of variables where each variable is defined as follows: u = j + 12; k = h + 6; w = a + 1; h = y + 14; v = w + 3; a = m + 17; x = u + 8; j = 10; m = p + 6; y = g + 6; e = v + 16; g = x + 3; p = j + 19. If j = 10, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"s": "n + 4", "g": "s + 20", "z": "g + 4", "k": "z + 16", "t": "k + 12", "h": "t + 3", "a": "n + 2", "p": "a + 15", "f": "p + 7", "v": "f + 13", "m": "v + 2", "q": "m + 9", "n": 11}, "premises": {"n": 11}, "target": "h"}, "answer": {"steps": [["t", "k + 12", "k + 15"], ["k", "z + 16", "z + 31"], ["z", "g + 4", "g + 35"], ["g", "s + 20", "s + 55"], ["s", "n + 4", "n + 59"], ["n", 11, "70"]], "target_var_name": "h", "target_value": 70, "value_dict": {"n": 11}, "is_reverse": true}}
| 3,942
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = a + 15; s = n + 4; v = f + 13; n = 11; f = p + 7; z = g + 4; q = m + 9; h = t + 3; k = z + 16; g = s + 20; a = n + 2; m = v + 2; t = k + 12. If n = 11, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = k + 12 to h, which gives h = k + 15.\n2. Substitute k = z + 16 to h, which gives h = z + 31.\n3. Substitute z = g + 4 to h, which gives h = g + 35.\n4. Substitute g = s + 20 to h, which gives h = s + 55.\n5. Substitute s = n + 4 to h, which gives h = n + 59.\n6. Substitute n = 11 to h, which gives h = 70.\n\nThus, the final answer is h = \\boxed{70}.",
"index": 3942,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = a + 15; s = n + 4; v = f + 13; n = 11; f = p + 7; z = g + 4; q = m + 9; h = t + 3; k = z + 16; g = s + 20; a = n + 2; m = v + 2; t = k + 12. If n = 11, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"c": "v + 14", "y": "c + 17", "l": "y + 7", "k": "l + 11", "o": "k + 11", "z": "o + 1", "f": "v + 9", "x": "f + 16", "g": "x + 2", "a": "g + 6", "h": "a + 10", "i": "h + 14", "v": 17}, "premises": {"v": 17}, "target": "z"}, "answer": {"steps": [["o", "k + 11", "k + 12"], ["k", "l + 11", "l + 23"], ["l", "y + 7", "y + 30"], ["y", "c + 17", "c + 47"], ["c", "v + 14", "v + 61"], ["v", 17, "78"]], "target_var_name": "z", "target_value": 78, "value_dict": {"v": 17}, "is_reverse": true}}
| 3,943
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = o + 1; l = y + 7; c = v + 14; v = 17; o = k + 11; y = c + 17; g = x + 2; f = v + 9; h = a + 10; k = l + 11; a = g + 6; i = h + 14; x = f + 16. Given that v = 17, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = k + 11 to z, which gives z = k + 12.\n2. Substitute k = l + 11 to z, which gives z = l + 23.\n3. Substitute l = y + 7 to z, which gives z = y + 30.\n4. Substitute y = c + 17 to z, which gives z = c + 47.\n5. Substitute c = v + 14 to z, which gives z = v + 61.\n6. Substitute v = 17 to z, which gives z = 78.\n\nThus, the final answer is z = \\boxed{78}.",
"index": 3943,
"question": "Suppose a collection of variables is related by the following definitions: z = o + 1; l = y + 7; c = v + 14; v = 17; o = k + 11; y = c + 17; g = x + 2; f = v + 9; h = a + 10; k = l + 11; a = g + 6; i = h + 14; x = f + 16. Given that v = 17, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"s": "z + 2", "o": "s + 18", "f": "o + 19", "x": "f + 20", "j": "x + 14", "q": "j + 18", "h": "z + 10", "i": "h + 20", "u": "i + 12", "p": "u + 9", "y": "p + 8", "t": "y + 17", "z": 4}, "premises": {"z": 4}, "target": "q"}, "answer": {"steps": [["j", "x + 14", "x + 32"], ["x", "f + 20", "f + 52"], ["f", "o + 19", "o + 71"], ["o", "s + 18", "s + 89"], ["s", "z + 2", "z + 91"], ["z", 4, "95"]], "target_var_name": "q", "target_value": 95, "value_dict": {"z": 4}, "is_reverse": true}}
| 3,944
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = p + 8; f = o + 19; t = y + 17; o = s + 18; j = x + 14; h = z + 10; z = 4; i = h + 20; u = i + 12; s = z + 2; p = u + 9; q = j + 18; x = f + 20. If z = 4, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = x + 14 to q, which gives q = x + 32.\n2. Substitute x = f + 20 to q, which gives q = f + 52.\n3. Substitute f = o + 19 to q, which gives q = o + 71.\n4. Substitute o = s + 18 to q, which gives q = s + 89.\n5. Substitute s = z + 2 to q, which gives q = z + 91.\n6. Substitute z = 4 to q, which gives q = 95.\n\nThus, the final answer is q = \\boxed{95}.",
"index": 3944,
"question": "Consider a system of variables where each variable is defined as follows: y = p + 8; f = o + 19; t = y + 17; o = s + 18; j = x + 14; h = z + 10; z = 4; i = h + 20; u = i + 12; s = z + 2; p = u + 9; q = j + 18; x = f + 20. If z = 4, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"x": "q + 10", "w": "x + 18", "k": "w + 18", "f": "k + 12", "r": "f + 16", "i": "r + 6", "b": "q + 18", "t": "b + 10", "o": "t + 9", "p": "o + 20", "v": "p + 11", "d": "v + 5", "q": 10}, "premises": {"q": 10}, "target": "i"}, "answer": {"steps": [["r", "f + 16", "f + 22"], ["f", "k + 12", "k + 34"], ["k", "w + 18", "w + 52"], ["w", "x + 18", "x + 70"], ["x", "q + 10", "q + 80"], ["q", 10, "90"]], "target_var_name": "i", "target_value": 90, "value_dict": {"q": 10}, "is_reverse": true}}
| 3,945
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = r + 6; d = v + 5; v = p + 11; r = f + 16; x = q + 10; f = k + 12; q = 10; o = t + 9; p = o + 20; k = w + 18; w = x + 18; t = b + 10; b = q + 18. If q = 10, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = f + 16 to i, which gives i = f + 22.\n2. Substitute f = k + 12 to i, which gives i = k + 34.\n3. Substitute k = w + 18 to i, which gives i = w + 52.\n4. Substitute w = x + 18 to i, which gives i = x + 70.\n5. Substitute x = q + 10 to i, which gives i = q + 80.\n6. Substitute q = 10 to i, which gives i = 90.\n\nThus, the final answer is i = \\boxed{90}.",
"index": 3945,
"question": "Consider a system of variables where each variable is defined as follows: i = r + 6; d = v + 5; v = p + 11; r = f + 16; x = q + 10; f = k + 12; q = 10; o = t + 9; p = o + 20; k = w + 18; w = x + 18; t = b + 10; b = q + 18. If q = 10, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"j": "t + 18", "e": "j + 12", "m": "e + 16", "a": "m + 10", "z": "a + 3", "i": "z + 2", "d": "t + 2", "n": "d + 11", "f": "n + 10", "l": "f + 11", "p": "l + 1", "w": "p + 2", "t": 15}, "premises": {"t": 15}, "target": "i"}, "answer": {"steps": [["z", "a + 3", "a + 5"], ["a", "m + 10", "m + 15"], ["m", "e + 16", "e + 31"], ["e", "j + 12", "j + 43"], ["j", "t + 18", "t + 61"], ["t", 15, "76"]], "target_var_name": "i", "target_value": 76, "value_dict": {"t": 15}, "is_reverse": true}}
| 3,946
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = j + 12; n = d + 11; d = t + 2; l = f + 11; m = e + 16; p = l + 1; t = 15; a = m + 10; w = p + 2; i = z + 2; z = a + 3; f = n + 10; j = t + 18. If t = 15, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = a + 3 to i, which gives i = a + 5.\n2. Substitute a = m + 10 to i, which gives i = m + 15.\n3. Substitute m = e + 16 to i, which gives i = e + 31.\n4. Substitute e = j + 12 to i, which gives i = j + 43.\n5. Substitute j = t + 18 to i, which gives i = t + 61.\n6. Substitute t = 15 to i, which gives i = 76.\n\nThus, the final answer is i = \\boxed{76}.",
"index": 3946,
"question": "Consider a system of variables where each variable is defined as follows: e = j + 12; n = d + 11; d = t + 2; l = f + 11; m = e + 16; p = l + 1; t = 15; a = m + 10; w = p + 2; i = z + 2; z = a + 3; f = n + 10; j = t + 18. If t = 15, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"j": "g + 17", "k": "j + 15", "y": "k + 5", "p": "y + 14", "r": "p + 9", "z": "r + 6", "m": "g + 2", "u": "m + 15", "a": "u + 17", "i": "a + 8", "e": "i + 7", "c": "e + 7", "g": 11}, "premises": {"g": 11}, "target": "z"}, "answer": {"steps": [["r", "p + 9", "p + 15"], ["p", "y + 14", "y + 29"], ["y", "k + 5", "k + 34"], ["k", "j + 15", "j + 49"], ["j", "g + 17", "g + 66"], ["g", 11, "77"]], "target_var_name": "z", "target_value": 77, "value_dict": {"g": 11}, "is_reverse": true}}
| 3,947
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = k + 5; j = g + 17; u = m + 15; m = g + 2; z = r + 6; r = p + 9; k = j + 15; a = u + 17; c = e + 7; p = y + 14; e = i + 7; g = 11; i = a + 8. If g = 11, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = p + 9 to z, which gives z = p + 15.\n2. Substitute p = y + 14 to z, which gives z = y + 29.\n3. Substitute y = k + 5 to z, which gives z = k + 34.\n4. Substitute k = j + 15 to z, which gives z = j + 49.\n5. Substitute j = g + 17 to z, which gives z = g + 66.\n6. Substitute g = 11 to z, which gives z = 77.\n\nThus, the final answer is z = \\boxed{77}.",
"index": 3947,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = k + 5; j = g + 17; u = m + 15; m = g + 2; z = r + 6; r = p + 9; k = j + 15; a = u + 17; c = e + 7; p = y + 14; e = i + 7; g = 11; i = a + 8. If g = 11, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"m": "z + 11", "s": "m + 19", "t": "s + 2", "y": "t + 5", "g": "y + 3", "k": "g + 1", "w": "z + 17", "x": "w + 12", "o": "x + 17", "q": "o + 12", "n": "q + 15", "j": "n + 2", "z": 17}, "premises": {"z": 17}, "target": "k"}, "answer": {"steps": [["g", "y + 3", "y + 4"], ["y", "t + 5", "t + 9"], ["t", "s + 2", "s + 11"], ["s", "m + 19", "m + 30"], ["m", "z + 11", "z + 41"], ["z", 17, "58"]], "target_var_name": "k", "target_value": 58, "value_dict": {"z": 17}, "is_reverse": true}}
| 3,948
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = w + 12; m = z + 11; n = q + 15; z = 17; k = g + 1; w = z + 17; j = n + 2; y = t + 5; o = x + 17; q = o + 12; t = s + 2; s = m + 19; g = y + 3. If z = 17, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = y + 3 to k, which gives k = y + 4.\n2. Substitute y = t + 5 to k, which gives k = t + 9.\n3. Substitute t = s + 2 to k, which gives k = s + 11.\n4. Substitute s = m + 19 to k, which gives k = m + 30.\n5. Substitute m = z + 11 to k, which gives k = z + 41.\n6. Substitute z = 17 to k, which gives k = 58.\n\nThus, the final answer is k = \\boxed{58}.",
"index": 3948,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = w + 12; m = z + 11; n = q + 15; z = 17; k = g + 1; w = z + 17; j = n + 2; y = t + 5; o = x + 17; q = o + 12; t = s + 2; s = m + 19; g = y + 3. If z = 17, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"e": "n + 19", "d": "e + 19", "s": "d + 13", "m": "s + 8", "v": "m + 13", "o": "v + 19", "h": "n + 7", "b": "h + 19", "f": "b + 16", "q": "f + 11", "l": "q + 7", "x": "l + 2", "n": 8}, "premises": {"n": 8}, "target": "o"}, "answer": {"steps": [["v", "m + 13", "m + 32"], ["m", "s + 8", "s + 40"], ["s", "d + 13", "d + 53"], ["d", "e + 19", "e + 72"], ["e", "n + 19", "n + 91"], ["n", 8, "99"]], "target_var_name": "o", "target_value": 99, "value_dict": {"n": 8}, "is_reverse": true}}
| 3,949
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = n + 19; x = l + 2; d = e + 19; n = 8; v = m + 13; h = n + 7; o = v + 19; f = b + 16; m = s + 8; q = f + 11; b = h + 19; s = d + 13; l = q + 7. If n = 8, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 99,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = m + 13 to o, which gives o = m + 32.\n2. Substitute m = s + 8 to o, which gives o = s + 40.\n3. Substitute s = d + 13 to o, which gives o = d + 53.\n4. Substitute d = e + 19 to o, which gives o = e + 72.\n5. Substitute e = n + 19 to o, which gives o = n + 91.\n6. Substitute n = 8 to o, which gives o = 99.\n\nThus, the final answer is o = \\boxed{99}.",
"index": 3949,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = n + 19; x = l + 2; d = e + 19; n = 8; v = m + 13; h = n + 7; o = v + 19; f = b + 16; m = s + 8; q = f + 11; b = h + 19; s = d + 13; l = q + 7. If n = 8, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"g": "z + 8", "s": "g + 18", "f": "s + 20", "m": "f + 15", "u": "m + 9", "l": "u + 19", "p": "z + 2", "v": "p + 12", "a": "v + 9", "w": "a + 1", "e": "w + 5", "x": "e + 20", "z": 8}, "premises": {"z": 8}, "target": "l"}, "answer": {"steps": [["u", "m + 9", "m + 28"], ["m", "f + 15", "f + 43"], ["f", "s + 20", "s + 63"], ["s", "g + 18", "g + 81"], ["g", "z + 8", "z + 89"], ["z", 8, "97"]], "target_var_name": "l", "target_value": 97, "value_dict": {"z": 8}, "is_reverse": true}}
| 3,950
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = p + 12; e = w + 5; g = z + 8; w = a + 1; z = 8; x = e + 20; a = v + 9; f = s + 20; m = f + 15; s = g + 18; l = u + 19; p = z + 2; u = m + 9. Given that z = 8, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 97,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = m + 9 to l, which gives l = m + 28.\n2. Substitute m = f + 15 to l, which gives l = f + 43.\n3. Substitute f = s + 20 to l, which gives l = s + 63.\n4. Substitute s = g + 18 to l, which gives l = g + 81.\n5. Substitute g = z + 8 to l, which gives l = z + 89.\n6. Substitute z = 8 to l, which gives l = 97.\n\nThus, the final answer is l = \\boxed{97}.",
"index": 3950,
"question": "Suppose a collection of variables is related by the following definitions: v = p + 12; e = w + 5; g = z + 8; w = a + 1; z = 8; x = e + 20; a = v + 9; f = s + 20; m = f + 15; s = g + 18; l = u + 19; p = z + 2; u = m + 9. Given that z = 8, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"h": "t + 1", "k": "h + 9", "l": "k + 13", "o": "l + 6", "x": "o + 4", "i": "x + 9", "f": "t + 11", "m": "f + 11", "j": "m + 14", "v": "j + 5", "z": "v + 15", "q": "z + 11", "t": 20}, "premises": {"t": 20}, "target": "i"}, "answer": {"steps": [["x", "o + 4", "o + 13"], ["o", "l + 6", "l + 19"], ["l", "k + 13", "k + 32"], ["k", "h + 9", "h + 41"], ["h", "t + 1", "t + 42"], ["t", 20, "62"]], "target_var_name": "i", "target_value": 62, "value_dict": {"t": 20}, "is_reverse": true}}
| 3,951
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = h + 9; t = 20; j = m + 14; f = t + 11; o = l + 6; v = j + 5; m = f + 11; l = k + 13; q = z + 11; h = t + 1; z = v + 15; x = o + 4; i = x + 9. If t = 20, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = o + 4 to i, which gives i = o + 13.\n2. Substitute o = l + 6 to i, which gives i = l + 19.\n3. Substitute l = k + 13 to i, which gives i = k + 32.\n4. Substitute k = h + 9 to i, which gives i = h + 41.\n5. Substitute h = t + 1 to i, which gives i = t + 42.\n6. Substitute t = 20 to i, which gives i = 62.\n\nThus, the final answer is i = \\boxed{62}.",
"index": 3951,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = h + 9; t = 20; j = m + 14; f = t + 11; o = l + 6; v = j + 5; m = f + 11; l = k + 13; q = z + 11; h = t + 1; z = v + 15; x = o + 4; i = x + 9. If t = 20, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"r": "i + 9", "g": "r + 10", "c": "g + 12", "d": "c + 19", "h": "d + 10", "o": "h + 13", "f": "i + 16", "m": "f + 18", "z": "m + 4", "k": "z + 3", "n": "k + 3", "v": "n + 9", "i": 15}, "premises": {"i": 15}, "target": "o"}, "answer": {"steps": [["h", "d + 10", "d + 23"], ["d", "c + 19", "c + 42"], ["c", "g + 12", "g + 54"], ["g", "r + 10", "r + 64"], ["r", "i + 9", "i + 73"], ["i", 15, "88"]], "target_var_name": "o", "target_value": 88, "value_dict": {"i": 15}, "is_reverse": true}}
| 3,952
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = f + 18; d = c + 19; k = z + 3; o = h + 13; f = i + 16; h = d + 10; i = 15; c = g + 12; n = k + 3; r = i + 9; z = m + 4; v = n + 9; g = r + 10. Given that i = 15, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = d + 10 to o, which gives o = d + 23.\n2. Substitute d = c + 19 to o, which gives o = c + 42.\n3. Substitute c = g + 12 to o, which gives o = g + 54.\n4. Substitute g = r + 10 to o, which gives o = r + 64.\n5. Substitute r = i + 9 to o, which gives o = i + 73.\n6. Substitute i = 15 to o, which gives o = 88.\n\nThus, the final answer is o = \\boxed{88}.",
"index": 3952,
"question": "Suppose a collection of variables is related by the following definitions: m = f + 18; d = c + 19; k = z + 3; o = h + 13; f = i + 16; h = d + 10; i = 15; c = g + 12; n = k + 3; r = i + 9; z = m + 4; v = n + 9; g = r + 10. Given that i = 15, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"n": "z + 1", "k": "n + 9", "a": "k + 7", "g": "a + 1", "l": "g + 5", "b": "l + 9", "d": "z + 3", "q": "d + 19", "w": "q + 13", "s": "w + 20", "c": "s + 6", "e": "c + 3", "z": 10}, "premises": {"z": 10}, "target": "b"}, "answer": {"steps": [["l", "g + 5", "g + 14"], ["g", "a + 1", "a + 15"], ["a", "k + 7", "k + 22"], ["k", "n + 9", "n + 31"], ["n", "z + 1", "z + 32"], ["z", 10, "42"]], "target_var_name": "b", "target_value": 42, "value_dict": {"z": 10}, "is_reverse": true}}
| 3,953
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = w + 20; e = c + 3; l = g + 5; b = l + 9; n = z + 1; w = q + 13; d = z + 3; g = a + 1; q = d + 19; c = s + 6; z = 10; k = n + 9; a = k + 7. If z = 10, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 42,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = g + 5 to b, which gives b = g + 14.\n2. Substitute g = a + 1 to b, which gives b = a + 15.\n3. Substitute a = k + 7 to b, which gives b = k + 22.\n4. Substitute k = n + 9 to b, which gives b = n + 31.\n5. Substitute n = z + 1 to b, which gives b = z + 32.\n6. Substitute z = 10 to b, which gives b = 42.\n\nThus, the final answer is b = \\boxed{42}.",
"index": 3953,
"question": "Consider a system of variables where each variable is defined as follows: s = w + 20; e = c + 3; l = g + 5; b = l + 9; n = z + 1; w = q + 13; d = z + 3; g = a + 1; q = d + 19; c = s + 6; z = 10; k = n + 9; a = k + 7. If z = 10, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"c": "u + 20", "o": "c + 13", "h": "o + 13", "d": "h + 16", "y": "d + 13", "m": "y + 5", "g": "u + 2", "l": "g + 18", "j": "l + 15", "t": "j + 4", "a": "t + 12", "e": "a + 8", "u": 16}, "premises": {"u": 16}, "target": "m"}, "answer": {"steps": [["y", "d + 13", "d + 18"], ["d", "h + 16", "h + 34"], ["h", "o + 13", "o + 47"], ["o", "c + 13", "c + 60"], ["c", "u + 20", "u + 80"], ["u", 16, "96"]], "target_var_name": "m", "target_value": 96, "value_dict": {"u": 16}, "is_reverse": true}}
| 3,954
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = j + 4; y = d + 13; g = u + 2; e = a + 8; j = l + 15; u = 16; a = t + 12; m = y + 5; l = g + 18; c = u + 20; o = c + 13; d = h + 16; h = o + 13. Given that u = 16, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 96,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = d + 13 to m, which gives m = d + 18.\n2. Substitute d = h + 16 to m, which gives m = h + 34.\n3. Substitute h = o + 13 to m, which gives m = o + 47.\n4. Substitute o = c + 13 to m, which gives m = c + 60.\n5. Substitute c = u + 20 to m, which gives m = u + 80.\n6. Substitute u = 16 to m, which gives m = 96.\n\nThus, the final answer is m = \\boxed{96}.",
"index": 3954,
"question": "Suppose a collection of variables is related by the following definitions: t = j + 4; y = d + 13; g = u + 2; e = a + 8; j = l + 15; u = 16; a = t + 12; m = y + 5; l = g + 18; c = u + 20; o = c + 13; d = h + 16; h = o + 13. Given that u = 16, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"t": "m + 15", "p": "t + 1", "x": "p + 1", "k": "x + 2", "j": "k + 1", "d": "j + 15", "r": "m + 18", "o": "r + 5", "e": "o + 19", "l": "e + 1", "n": "l + 4", "y": "n + 12", "m": 18}, "premises": {"m": 18}, "target": "d"}, "answer": {"steps": [["j", "k + 1", "k + 16"], ["k", "x + 2", "x + 18"], ["x", "p + 1", "p + 19"], ["p", "t + 1", "t + 20"], ["t", "m + 15", "m + 35"], ["m", 18, "53"]], "target_var_name": "d", "target_value": 53, "value_dict": {"m": 18}, "is_reverse": true}}
| 3,955
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = l + 4; y = n + 12; t = m + 15; l = e + 1; m = 18; k = x + 2; j = k + 1; x = p + 1; e = o + 19; o = r + 5; r = m + 18; d = j + 15; p = t + 1. If m = 18, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = k + 1 to d, which gives d = k + 16.\n2. Substitute k = x + 2 to d, which gives d = x + 18.\n3. Substitute x = p + 1 to d, which gives d = p + 19.\n4. Substitute p = t + 1 to d, which gives d = t + 20.\n5. Substitute t = m + 15 to d, which gives d = m + 35.\n6. Substitute m = 18 to d, which gives d = 53.\n\nThus, the final answer is d = \\boxed{53}.",
"index": 3955,
"question": "Consider a system of variables where each variable is defined as follows: n = l + 4; y = n + 12; t = m + 15; l = e + 1; m = 18; k = x + 2; j = k + 1; x = p + 1; e = o + 19; o = r + 5; r = m + 18; d = j + 15; p = t + 1. If m = 18, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"d": "h + 18", "l": "d + 2", "a": "l + 20", "i": "a + 10", "e": "i + 20", "j": "e + 1", "r": "h + 17", "f": "r + 7", "v": "f + 17", "m": "v + 18", "k": "m + 6", "b": "k + 17", "h": 5}, "premises": {"h": 5}, "target": "j"}, "answer": {"steps": [["e", "i + 20", "i + 21"], ["i", "a + 10", "a + 31"], ["a", "l + 20", "l + 51"], ["l", "d + 2", "d + 53"], ["d", "h + 18", "h + 71"], ["h", 5, "76"]], "target_var_name": "j", "target_value": 76, "value_dict": {"h": 5}, "is_reverse": true}}
| 3,956
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = a + 10; e = i + 20; m = v + 18; j = e + 1; l = d + 2; a = l + 20; b = k + 17; h = 5; r = h + 17; k = m + 6; v = f + 17; d = h + 18; f = r + 7. Given that h = 5, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = i + 20 to j, which gives j = i + 21.\n2. Substitute i = a + 10 to j, which gives j = a + 31.\n3. Substitute a = l + 20 to j, which gives j = l + 51.\n4. Substitute l = d + 2 to j, which gives j = d + 53.\n5. Substitute d = h + 18 to j, which gives j = h + 71.\n6. Substitute h = 5 to j, which gives j = 76.\n\nThus, the final answer is j = \\boxed{76}.",
"index": 3956,
"question": "Suppose a collection of variables is related by the following definitions: i = a + 10; e = i + 20; m = v + 18; j = e + 1; l = d + 2; a = l + 20; b = k + 17; h = 5; r = h + 17; k = m + 6; v = f + 17; d = h + 18; f = r + 7. Given that h = 5, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"i": "j + 12", "u": "i + 9", "w": "u + 12", "n": "w + 10", "a": "n + 8", "e": "a + 10", "d": "j + 6", "s": "d + 10", "g": "s + 6", "y": "g + 20", "m": "y + 8", "t": "m + 17", "j": 19}, "premises": {"j": 19}, "target": "e"}, "answer": {"steps": [["a", "n + 8", "n + 18"], ["n", "w + 10", "w + 28"], ["w", "u + 12", "u + 40"], ["u", "i + 9", "i + 49"], ["i", "j + 12", "j + 61"], ["j", 19, "80"]], "target_var_name": "e", "target_value": 80, "value_dict": {"j": 19}, "is_reverse": true}}
| 3,957
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = y + 8; i = j + 12; t = m + 17; a = n + 8; n = w + 10; e = a + 10; s = d + 10; u = i + 9; g = s + 6; d = j + 6; j = 19; y = g + 20; w = u + 12. If j = 19, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = n + 8 to e, which gives e = n + 18.\n2. Substitute n = w + 10 to e, which gives e = w + 28.\n3. Substitute w = u + 12 to e, which gives e = u + 40.\n4. Substitute u = i + 9 to e, which gives e = i + 49.\n5. Substitute i = j + 12 to e, which gives e = j + 61.\n6. Substitute j = 19 to e, which gives e = 80.\n\nThus, the final answer is e = \\boxed{80}.",
"index": 3957,
"question": "Consider a system of variables where each variable is defined as follows: m = y + 8; i = j + 12; t = m + 17; a = n + 8; n = w + 10; e = a + 10; s = d + 10; u = i + 9; g = s + 6; d = j + 6; j = 19; y = g + 20; w = u + 12. If j = 19, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"n": "r + 11", "b": "n + 14", "h": "b + 9", "u": "h + 10", "c": "u + 18", "k": "c + 9", "y": "r + 13", "m": "y + 5", "v": "m + 14", "w": "v + 7", "o": "w + 17", "i": "o + 6", "r": 20}, "premises": {"r": 20}, "target": "k"}, "answer": {"steps": [["c", "u + 18", "u + 27"], ["u", "h + 10", "h + 37"], ["h", "b + 9", "b + 46"], ["b", "n + 14", "n + 60"], ["n", "r + 11", "r + 71"], ["r", 20, "91"]], "target_var_name": "k", "target_value": 91, "value_dict": {"r": 20}, "is_reverse": true}}
| 3,958
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = y + 5; i = o + 6; b = n + 14; o = w + 17; k = c + 9; n = r + 11; c = u + 18; r = 20; y = r + 13; v = m + 14; w = v + 7; h = b + 9; u = h + 10. If r = 20, determine the 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 c = u + 18 to k, which gives k = u + 27.\n2. Substitute u = h + 10 to k, which gives k = h + 37.\n3. Substitute h = b + 9 to k, which gives k = b + 46.\n4. Substitute b = n + 14 to k, which gives k = n + 60.\n5. Substitute n = r + 11 to k, which gives k = r + 71.\n6. Substitute r = 20 to k, which gives k = 91.\n\nThus, the final answer is k = \\boxed{91}.",
"index": 3958,
"question": "Consider a system of variables where each variable is defined as follows: m = y + 5; i = o + 6; b = n + 14; o = w + 17; k = c + 9; n = r + 11; c = u + 18; r = 20; y = r + 13; v = m + 14; w = v + 7; h = b + 9; u = h + 10. If r = 20, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"v": "n + 19", "w": "v + 19", "c": "w + 4", "t": "c + 16", "u": "t + 1", "m": "u + 8", "y": "n + 20", "h": "y + 18", "j": "h + 15", "k": "j + 3", "i": "k + 6", "d": "i + 3", "n": 11}, "premises": {"n": 11}, "target": "m"}, "answer": {"steps": [["u", "t + 1", "t + 9"], ["t", "c + 16", "c + 25"], ["c", "w + 4", "w + 29"], ["w", "v + 19", "v + 48"], ["v", "n + 19", "n + 67"], ["n", 11, "78"]], "target_var_name": "m", "target_value": 78, "value_dict": {"n": 11}, "is_reverse": true}}
| 3,959
| 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 = w + 4; w = v + 19; y = n + 20; i = k + 6; m = u + 8; u = t + 1; n = 11; t = c + 16; j = h + 15; v = n + 19; h = y + 18; k = j + 3; d = i + 3. If n = 11, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = t + 1 to m, which gives m = t + 9.\n2. Substitute t = c + 16 to m, which gives m = c + 25.\n3. Substitute c = w + 4 to m, which gives m = w + 29.\n4. Substitute w = v + 19 to m, which gives m = v + 48.\n5. Substitute v = n + 19 to m, which gives m = n + 67.\n6. Substitute n = 11 to m, which gives m = 78.\n\nThus, the final answer is m = \\boxed{78}.",
"index": 3959,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = w + 4; w = v + 19; y = n + 20; i = k + 6; m = u + 8; u = t + 1; n = 11; t = c + 16; j = h + 15; v = n + 19; h = y + 18; k = j + 3; d = i + 3. If n = 11, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"w": "d + 4", "n": "w + 4", "u": "n + 6", "z": "u + 17", "s": "z + 20", "r": "s + 1", "p": "d + 13", "m": "p + 1", "v": "m + 18", "j": "v + 6", "o": "j + 9", "y": "o + 14", "d": 16}, "premises": {"d": 16}, "target": "r"}, "answer": {"steps": [["s", "z + 20", "z + 21"], ["z", "u + 17", "u + 38"], ["u", "n + 6", "n + 44"], ["n", "w + 4", "w + 48"], ["w", "d + 4", "d + 52"], ["d", 16, "68"]], "target_var_name": "r", "target_value": 68, "value_dict": {"d": 16}, "is_reverse": true}}
| 3,960
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = p + 1; v = m + 18; w = d + 4; o = j + 9; u = n + 6; s = z + 20; y = o + 14; n = w + 4; d = 16; p = d + 13; j = v + 6; r = s + 1; z = u + 17. If d = 16, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = z + 20 to r, which gives r = z + 21.\n2. Substitute z = u + 17 to r, which gives r = u + 38.\n3. Substitute u = n + 6 to r, which gives r = n + 44.\n4. Substitute n = w + 4 to r, which gives r = w + 48.\n5. Substitute w = d + 4 to r, which gives r = d + 52.\n6. Substitute d = 16 to r, which gives r = 68.\n\nThus, the final answer is r = \\boxed{68}.",
"index": 3960,
"question": "Consider a system of variables where each variable is defined as follows: m = p + 1; v = m + 18; w = d + 4; o = j + 9; u = n + 6; s = z + 20; y = o + 14; n = w + 4; d = 16; p = d + 13; j = v + 6; r = s + 1; z = u + 17. If d = 16, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"b": "z + 13", "a": "b + 6", "v": "a + 17", "n": "v + 18", "i": "n + 16", "d": "i + 1", "e": "z + 13", "q": "e + 19", "h": "q + 19", "x": "h + 6", "g": "x + 4", "t": "g + 19", "z": 7}, "premises": {"z": 7}, "target": "d"}, "answer": {"steps": [["i", "n + 16", "n + 17"], ["n", "v + 18", "v + 35"], ["v", "a + 17", "a + 52"], ["a", "b + 6", "b + 58"], ["b", "z + 13", "z + 71"], ["z", 7, "78"]], "target_var_name": "d", "target_value": 78, "value_dict": {"z": 7}, "is_reverse": true}}
| 3,961
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = n + 16; g = x + 4; e = z + 13; t = g + 19; b = z + 13; h = q + 19; x = h + 6; v = a + 17; z = 7; a = b + 6; q = e + 19; n = v + 18; d = i + 1. Given that z = 7, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = n + 16 to d, which gives d = n + 17.\n2. Substitute n = v + 18 to d, which gives d = v + 35.\n3. Substitute v = a + 17 to d, which gives d = a + 52.\n4. Substitute a = b + 6 to d, which gives d = b + 58.\n5. Substitute b = z + 13 to d, which gives d = z + 71.\n6. Substitute z = 7 to d, which gives d = 78.\n\nThus, the final answer is d = \\boxed{78}.",
"index": 3961,
"question": "Suppose a collection of variables is related by the following definitions: i = n + 16; g = x + 4; e = z + 13; t = g + 19; b = z + 13; h = q + 19; x = h + 6; v = a + 17; z = 7; a = b + 6; q = e + 19; n = v + 18; d = i + 1. Given that z = 7, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"y": "o + 12", "h": "y + 11", "i": "h + 15", "s": "i + 11", "m": "s + 19", "g": "m + 5", "j": "o + 8", "q": "j + 6", "p": "q + 13", "r": "p + 2", "l": "r + 14", "d": "l + 18", "o": 7}, "premises": {"o": 7}, "target": "g"}, "answer": {"steps": [["m", "s + 19", "s + 24"], ["s", "i + 11", "i + 35"], ["i", "h + 15", "h + 50"], ["h", "y + 11", "y + 61"], ["y", "o + 12", "o + 73"], ["o", 7, "80"]], "target_var_name": "g", "target_value": 80, "value_dict": {"o": 7}, "is_reverse": true}}
| 3,962
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = r + 14; j = o + 8; r = p + 2; q = j + 6; g = m + 5; i = h + 15; y = o + 12; o = 7; s = i + 11; d = l + 18; m = s + 19; p = q + 13; h = y + 11. Given that o = 7, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = s + 19 to g, which gives g = s + 24.\n2. Substitute s = i + 11 to g, which gives g = i + 35.\n3. Substitute i = h + 15 to g, which gives g = h + 50.\n4. Substitute h = y + 11 to g, which gives g = y + 61.\n5. Substitute y = o + 12 to g, which gives g = o + 73.\n6. Substitute o = 7 to g, which gives g = 80.\n\nThus, the final answer is g = \\boxed{80}.",
"index": 3962,
"question": "Suppose a collection of variables is related by the following definitions: l = r + 14; j = o + 8; r = p + 2; q = j + 6; g = m + 5; i = h + 15; y = o + 12; o = 7; s = i + 11; d = l + 18; m = s + 19; p = q + 13; h = y + 11. Given that o = 7, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"a": "r + 13", "z": "a + 5", "u": "z + 18", "g": "u + 14", "n": "g + 18", "q": "n + 6", "x": "r + 12", "i": "x + 17", "p": "i + 10", "y": "p + 11", "c": "y + 9", "o": "c + 17", "r": 18}, "premises": {"r": 18}, "target": "q"}, "answer": {"steps": [["n", "g + 18", "g + 24"], ["g", "u + 14", "u + 38"], ["u", "z + 18", "z + 56"], ["z", "a + 5", "a + 61"], ["a", "r + 13", "r + 74"], ["r", 18, "92"]], "target_var_name": "q", "target_value": 92, "value_dict": {"r": 18}, "is_reverse": true}}
| 3,963
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = a + 5; y = p + 11; x = r + 12; q = n + 6; p = i + 10; r = 18; o = c + 17; c = y + 9; u = z + 18; i = x + 17; a = r + 13; n = g + 18; g = u + 14. Given that r = 18, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = g + 18 to q, which gives q = g + 24.\n2. Substitute g = u + 14 to q, which gives q = u + 38.\n3. Substitute u = z + 18 to q, which gives q = z + 56.\n4. Substitute z = a + 5 to q, which gives q = a + 61.\n5. Substitute a = r + 13 to q, which gives q = r + 74.\n6. Substitute r = 18 to q, which gives q = 92.\n\nThus, the final answer is q = \\boxed{92}.",
"index": 3963,
"question": "Suppose a collection of variables is related by the following definitions: z = a + 5; y = p + 11; x = r + 12; q = n + 6; p = i + 10; r = 18; o = c + 17; c = y + 9; u = z + 18; i = x + 17; a = r + 13; n = g + 18; g = u + 14. Given that r = 18, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"z": "o + 3", "f": "z + 1", "b": "f + 9", "g": "b + 18", "r": "g + 13", "h": "r + 17", "a": "o + 17", "v": "a + 18", "i": "v + 8", "l": "i + 18", "s": "l + 7", "q": "s + 1", "o": 8}, "premises": {"o": 8}, "target": "h"}, "answer": {"steps": [["r", "g + 13", "g + 30"], ["g", "b + 18", "b + 48"], ["b", "f + 9", "f + 57"], ["f", "z + 1", "z + 58"], ["z", "o + 3", "o + 61"], ["o", 8, "69"]], "target_var_name": "h", "target_value": 69, "value_dict": {"o": 8}, "is_reverse": true}}
| 3,964
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = v + 8; l = i + 18; z = o + 3; s = l + 7; f = z + 1; h = r + 17; g = b + 18; o = 8; v = a + 18; b = f + 9; r = g + 13; a = o + 17; q = s + 1. Given that o = 8, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = g + 13 to h, which gives h = g + 30.\n2. Substitute g = b + 18 to h, which gives h = b + 48.\n3. Substitute b = f + 9 to h, which gives h = f + 57.\n4. Substitute f = z + 1 to h, which gives h = z + 58.\n5. Substitute z = o + 3 to h, which gives h = o + 61.\n6. Substitute o = 8 to h, which gives h = 69.\n\nThus, the final answer is h = \\boxed{69}.",
"index": 3964,
"question": "Suppose a collection of variables is related by the following definitions: i = v + 8; l = i + 18; z = o + 3; s = l + 7; f = z + 1; h = r + 17; g = b + 18; o = 8; v = a + 18; b = f + 9; r = g + 13; a = o + 17; q = s + 1. Given that o = 8, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"b": "d + 18", "i": "b + 4", "y": "i + 20", "p": "y + 16", "g": "p + 4", "f": "g + 4", "k": "d + 20", "q": "k + 14", "l": "q + 4", "z": "l + 9", "n": "z + 20", "m": "n + 16", "d": 17}, "premises": {"d": 17}, "target": "f"}, "answer": {"steps": [["g", "p + 4", "p + 8"], ["p", "y + 16", "y + 24"], ["y", "i + 20", "i + 44"], ["i", "b + 4", "b + 48"], ["b", "d + 18", "d + 66"], ["d", 17, "83"]], "target_var_name": "f", "target_value": 83, "value_dict": {"d": 17}, "is_reverse": true}}
| 3,965
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = d + 20; n = z + 20; q = k + 14; y = i + 20; i = b + 4; d = 17; p = y + 16; b = d + 18; l = q + 4; z = l + 9; f = g + 4; g = p + 4; m = n + 16. Given that d = 17, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = p + 4 to f, which gives f = p + 8.\n2. Substitute p = y + 16 to f, which gives f = y + 24.\n3. Substitute y = i + 20 to f, which gives f = i + 44.\n4. Substitute i = b + 4 to f, which gives f = b + 48.\n5. Substitute b = d + 18 to f, which gives f = d + 66.\n6. Substitute d = 17 to f, which gives f = 83.\n\nThus, the final answer is f = \\boxed{83}.",
"index": 3965,
"question": "Suppose a collection of variables is related by the following definitions: k = d + 20; n = z + 20; q = k + 14; y = i + 20; i = b + 4; d = 17; p = y + 16; b = d + 18; l = q + 4; z = l + 9; f = g + 4; g = p + 4; m = n + 16. Given that d = 17, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"w": "n + 20", "r": "w + 10", "u": "r + 9", "o": "u + 2", "q": "o + 8", "v": "q + 19", "f": "n + 13", "c": "f + 19", "y": "c + 9", "z": "y + 10", "i": "z + 6", "p": "i + 2", "n": 8}, "premises": {"n": 8}, "target": "v"}, "answer": {"steps": [["q", "o + 8", "o + 27"], ["o", "u + 2", "u + 29"], ["u", "r + 9", "r + 38"], ["r", "w + 10", "w + 48"], ["w", "n + 20", "n + 68"], ["n", 8, "76"]], "target_var_name": "v", "target_value": 76, "value_dict": {"n": 8}, "is_reverse": true}}
| 3,966
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = w + 10; u = r + 9; c = f + 19; v = q + 19; i = z + 6; f = n + 13; y = c + 9; o = u + 2; z = y + 10; w = n + 20; n = 8; q = o + 8; p = i + 2. Given that n = 8, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = o + 8 to v, which gives v = o + 27.\n2. Substitute o = u + 2 to v, which gives v = u + 29.\n3. Substitute u = r + 9 to v, which gives v = r + 38.\n4. Substitute r = w + 10 to v, which gives v = w + 48.\n5. Substitute w = n + 20 to v, which gives v = n + 68.\n6. Substitute n = 8 to v, which gives v = 76.\n\nThus, the final answer is v = \\boxed{76}.",
"index": 3966,
"question": "Suppose a collection of variables is related by the following definitions: r = w + 10; u = r + 9; c = f + 19; v = q + 19; i = z + 6; f = n + 13; y = c + 9; o = u + 2; z = y + 10; w = n + 20; n = 8; q = o + 8; p = i + 2. Given that n = 8, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"y": "d + 1", "i": "y + 3", "e": "i + 19", "t": "e + 9", "j": "t + 19", "r": "j + 8", "f": "d + 14", "p": "f + 8", "k": "p + 10", "q": "k + 1", "z": "q + 16", "b": "z + 8", "d": 16}, "premises": {"d": 16}, "target": "r"}, "answer": {"steps": [["j", "t + 19", "t + 27"], ["t", "e + 9", "e + 36"], ["e", "i + 19", "i + 55"], ["i", "y + 3", "y + 58"], ["y", "d + 1", "d + 59"], ["d", 16, "75"]], "target_var_name": "r", "target_value": 75, "value_dict": {"d": 16}, "is_reverse": true}}
| 3,967
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = d + 14; t = e + 9; j = t + 19; e = i + 19; i = y + 3; z = q + 16; q = k + 1; r = j + 8; k = p + 10; b = z + 8; d = 16; p = f + 8; y = d + 1. Given that d = 16, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = t + 19 to r, which gives r = t + 27.\n2. Substitute t = e + 9 to r, which gives r = e + 36.\n3. Substitute e = i + 19 to r, which gives r = i + 55.\n4. Substitute i = y + 3 to r, which gives r = y + 58.\n5. Substitute y = d + 1 to r, which gives r = d + 59.\n6. Substitute d = 16 to r, which gives r = 75.\n\nThus, the final answer is r = \\boxed{75}.",
"index": 3967,
"question": "Suppose a collection of variables is related by the following definitions: f = d + 14; t = e + 9; j = t + 19; e = i + 19; i = y + 3; z = q + 16; q = k + 1; r = j + 8; k = p + 10; b = z + 8; d = 16; p = f + 8; y = d + 1. Given that d = 16, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"w": "a + 3", "l": "w + 1", "c": "l + 16", "u": "c + 7", "k": "u + 4", "q": "k + 16", "v": "a + 2", "y": "v + 13", "t": "y + 3", "f": "t + 8", "x": "f + 17", "r": "x + 1", "a": 3}, "premises": {"a": 3}, "target": "q"}, "answer": {"steps": [["k", "u + 4", "u + 20"], ["u", "c + 7", "c + 27"], ["c", "l + 16", "l + 43"], ["l", "w + 1", "w + 44"], ["w", "a + 3", "a + 47"], ["a", 3, "50"]], "target_var_name": "q", "target_value": 50, "value_dict": {"a": 3}, "is_reverse": true}}
| 3,968
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = k + 16; t = y + 3; r = x + 1; y = v + 13; l = w + 1; a = 3; k = u + 4; x = f + 17; u = c + 7; c = l + 16; f = t + 8; v = a + 2; w = a + 3. Given that a = 3, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 50,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = u + 4 to q, which gives q = u + 20.\n2. Substitute u = c + 7 to q, which gives q = c + 27.\n3. Substitute c = l + 16 to q, which gives q = l + 43.\n4. Substitute l = w + 1 to q, which gives q = w + 44.\n5. Substitute w = a + 3 to q, which gives q = a + 47.\n6. Substitute a = 3 to q, which gives q = 50.\n\nThus, the final answer is q = \\boxed{50}.",
"index": 3968,
"question": "Suppose a collection of variables is related by the following definitions: q = k + 16; t = y + 3; r = x + 1; y = v + 13; l = w + 1; a = 3; k = u + 4; x = f + 17; u = c + 7; c = l + 16; f = t + 8; v = a + 2; w = a + 3. Given that a = 3, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"c": "r + 16", "n": "c + 12", "h": "n + 11", "u": "h + 4", "d": "u + 13", "f": "d + 11", "x": "r + 17", "w": "x + 5", "z": "w + 18", "v": "z + 10", "g": "v + 20", "o": "g + 18", "r": 20}, "premises": {"r": 20}, "target": "f"}, "answer": {"steps": [["d", "u + 13", "u + 24"], ["u", "h + 4", "h + 28"], ["h", "n + 11", "n + 39"], ["n", "c + 12", "c + 51"], ["c", "r + 16", "r + 67"], ["r", 20, "87"]], "target_var_name": "f", "target_value": 87, "value_dict": {"r": 20}, "is_reverse": true}}
| 3,969
| 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 = 20; x = r + 17; v = z + 10; o = g + 18; c = r + 16; d = u + 13; w = x + 5; n = c + 12; u = h + 4; h = n + 11; z = w + 18; f = d + 11; g = v + 20. If r = 20, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = u + 13 to f, which gives f = u + 24.\n2. Substitute u = h + 4 to f, which gives f = h + 28.\n3. Substitute h = n + 11 to f, which gives f = n + 39.\n4. Substitute n = c + 12 to f, which gives f = c + 51.\n5. Substitute c = r + 16 to f, which gives f = r + 67.\n6. Substitute r = 20 to f, which gives f = 87.\n\nThus, the final answer is f = \\boxed{87}.",
"index": 3969,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = 20; x = r + 17; v = z + 10; o = g + 18; c = r + 16; d = u + 13; w = x + 5; n = c + 12; u = h + 4; h = n + 11; z = w + 18; f = d + 11; g = v + 20. If r = 20, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"b": "d + 15", "a": "b + 16", "e": "a + 10", "j": "e + 20", "s": "j + 13", "c": "s + 8", "k": "d + 8", "n": "k + 11", "w": "n + 15", "i": "w + 5", "q": "i + 15", "r": "q + 11", "d": 3}, "premises": {"d": 3}, "target": "c"}, "answer": {"steps": [["s", "j + 13", "j + 21"], ["j", "e + 20", "e + 41"], ["e", "a + 10", "a + 51"], ["a", "b + 16", "b + 67"], ["b", "d + 15", "d + 82"], ["d", 3, "85"]], "target_var_name": "c", "target_value": 85, "value_dict": {"d": 3}, "is_reverse": true}}
| 3,970
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = e + 20; c = s + 8; k = d + 8; i = w + 5; r = q + 11; a = b + 16; e = a + 10; d = 3; b = d + 15; n = k + 11; w = n + 15; s = j + 13; q = i + 15. Given that d = 3, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = j + 13 to c, which gives c = j + 21.\n2. Substitute j = e + 20 to c, which gives c = e + 41.\n3. Substitute e = a + 10 to c, which gives c = a + 51.\n4. Substitute a = b + 16 to c, which gives c = b + 67.\n5. Substitute b = d + 15 to c, which gives c = d + 82.\n6. Substitute d = 3 to c, which gives c = 85.\n\nThus, the final answer is c = \\boxed{85}.",
"index": 3970,
"question": "Suppose a collection of variables is related by the following definitions: j = e + 20; c = s + 8; k = d + 8; i = w + 5; r = q + 11; a = b + 16; e = a + 10; d = 3; b = d + 15; n = k + 11; w = n + 15; s = j + 13; q = i + 15. Given that d = 3, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"l": "y + 4", "t": "l + 4", "v": "t + 11", "b": "v + 17", "x": "b + 15", "c": "x + 12", "z": "y + 8", "e": "z + 17", "m": "e + 19", "f": "m + 12", "h": "f + 20", "i": "h + 15", "y": 16}, "premises": {"y": 16}, "target": "c"}, "answer": {"steps": [["x", "b + 15", "b + 27"], ["b", "v + 17", "v + 44"], ["v", "t + 11", "t + 55"], ["t", "l + 4", "l + 59"], ["l", "y + 4", "y + 63"], ["y", 16, "79"]], "target_var_name": "c", "target_value": 79, "value_dict": {"y": 16}, "is_reverse": true}}
| 3,971
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = x + 12; b = v + 17; y = 16; t = l + 4; z = y + 8; v = t + 11; i = h + 15; x = b + 15; m = e + 19; l = y + 4; e = z + 17; f = m + 12; h = f + 20. Given that y = 16, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = b + 15 to c, which gives c = b + 27.\n2. Substitute b = v + 17 to c, which gives c = v + 44.\n3. Substitute v = t + 11 to c, which gives c = t + 55.\n4. Substitute t = l + 4 to c, which gives c = l + 59.\n5. Substitute l = y + 4 to c, which gives c = y + 63.\n6. Substitute y = 16 to c, which gives c = 79.\n\nThus, the final answer is c = \\boxed{79}.",
"index": 3971,
"question": "Suppose a collection of variables is related by the following definitions: c = x + 12; b = v + 17; y = 16; t = l + 4; z = y + 8; v = t + 11; i = h + 15; x = b + 15; m = e + 19; l = y + 4; e = z + 17; f = m + 12; h = f + 20. Given that y = 16, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"r": "g + 14", "d": "r + 4", "s": "d + 20", "v": "s + 18", "k": "v + 15", "p": "k + 8", "i": "g + 6", "m": "i + 6", "u": "m + 15", "l": "u + 8", "h": "l + 8", "y": "h + 20", "g": 4}, "premises": {"g": 4}, "target": "p"}, "answer": {"steps": [["k", "v + 15", "v + 23"], ["v", "s + 18", "s + 41"], ["s", "d + 20", "d + 61"], ["d", "r + 4", "r + 65"], ["r", "g + 14", "g + 79"], ["g", 4, "83"]], "target_var_name": "p", "target_value": 83, "value_dict": {"g": 4}, "is_reverse": true}}
| 3,972
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = k + 8; g = 4; s = d + 20; l = u + 8; u = m + 15; h = l + 8; i = g + 6; y = h + 20; k = v + 15; d = r + 4; r = g + 14; v = s + 18; m = i + 6. If g = 4, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = v + 15 to p, which gives p = v + 23.\n2. Substitute v = s + 18 to p, which gives p = s + 41.\n3. Substitute s = d + 20 to p, which gives p = d + 61.\n4. Substitute d = r + 4 to p, which gives p = r + 65.\n5. Substitute r = g + 14 to p, which gives p = g + 79.\n6. Substitute g = 4 to p, which gives p = 83.\n\nThus, the final answer is p = \\boxed{83}.",
"index": 3972,
"question": "Consider a system of variables where each variable is defined as follows: p = k + 8; g = 4; s = d + 20; l = u + 8; u = m + 15; h = l + 8; i = g + 6; y = h + 20; k = v + 15; d = r + 4; r = g + 14; v = s + 18; m = i + 6. If g = 4, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"g": "o + 11", "a": "g + 16", "w": "a + 8", "t": "w + 13", "z": "t + 14", "j": "z + 9", "h": "o + 1", "d": "h + 8", "v": "d + 15", "k": "v + 12", "l": "k + 7", "q": "l + 16", "o": 2}, "premises": {"o": 2}, "target": "j"}, "answer": {"steps": [["z", "t + 14", "t + 23"], ["t", "w + 13", "w + 36"], ["w", "a + 8", "a + 44"], ["a", "g + 16", "g + 60"], ["g", "o + 11", "o + 71"], ["o", 2, "73"]], "target_var_name": "j", "target_value": 73, "value_dict": {"o": 2}, "is_reverse": true}}
| 3,973
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = l + 16; d = h + 8; g = o + 11; k = v + 12; o = 2; z = t + 14; v = d + 15; w = a + 8; j = z + 9; t = w + 13; l = k + 7; a = g + 16; h = o + 1. If o = 2, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = t + 14 to j, which gives j = t + 23.\n2. Substitute t = w + 13 to j, which gives j = w + 36.\n3. Substitute w = a + 8 to j, which gives j = a + 44.\n4. Substitute a = g + 16 to j, which gives j = g + 60.\n5. Substitute g = o + 11 to j, which gives j = o + 71.\n6. Substitute o = 2 to j, which gives j = 73.\n\nThus, the final answer is j = \\boxed{73}.",
"index": 3973,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = l + 16; d = h + 8; g = o + 11; k = v + 12; o = 2; z = t + 14; v = d + 15; w = a + 8; j = z + 9; t = w + 13; l = k + 7; a = g + 16; h = o + 1. If o = 2, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"k": "o + 2", "c": "k + 15", "v": "c + 14", "m": "v + 11", "x": "m + 10", "i": "x + 15", "w": "o + 6", "q": "w + 8", "r": "q + 3", "n": "r + 17", "e": "n + 11", "g": "e + 13", "o": 14}, "premises": {"o": 14}, "target": "i"}, "answer": {"steps": [["x", "m + 10", "m + 25"], ["m", "v + 11", "v + 36"], ["v", "c + 14", "c + 50"], ["c", "k + 15", "k + 65"], ["k", "o + 2", "o + 67"], ["o", 14, "81"]], "target_var_name": "i", "target_value": 81, "value_dict": {"o": 14}, "is_reverse": true}}
| 3,974
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = o + 2; m = v + 11; g = e + 13; o = 14; w = o + 6; e = n + 11; v = c + 14; r = q + 3; n = r + 17; c = k + 15; i = x + 15; x = m + 10; q = w + 8. Given that o = 14, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = m + 10 to i, which gives i = m + 25.\n2. Substitute m = v + 11 to i, which gives i = v + 36.\n3. Substitute v = c + 14 to i, which gives i = c + 50.\n4. Substitute c = k + 15 to i, which gives i = k + 65.\n5. Substitute k = o + 2 to i, which gives i = o + 67.\n6. Substitute o = 14 to i, which gives i = 81.\n\nThus, the final answer is i = \\boxed{81}.",
"index": 3974,
"question": "Suppose a collection of variables is related by the following definitions: k = o + 2; m = v + 11; g = e + 13; o = 14; w = o + 6; e = n + 11; v = c + 14; r = q + 3; n = r + 17; c = k + 15; i = x + 15; x = m + 10; q = w + 8. Given that o = 14, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"w": "a + 16", "p": "w + 11", "l": "p + 4", "x": "l + 2", "d": "x + 10", "e": "d + 15", "v": "a + 5", "z": "v + 6", "b": "z + 6", "s": "b + 15", "n": "s + 16", "f": "n + 5", "a": 15}, "premises": {"a": 15}, "target": "e"}, "answer": {"steps": [["d", "x + 10", "x + 25"], ["x", "l + 2", "l + 27"], ["l", "p + 4", "p + 31"], ["p", "w + 11", "w + 42"], ["w", "a + 16", "a + 58"], ["a", 15, "73"]], "target_var_name": "e", "target_value": 73, "value_dict": {"a": 15}, "is_reverse": true}}
| 3,975
| 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 = n + 5; v = a + 5; z = v + 6; w = a + 16; x = l + 2; s = b + 15; a = 15; d = x + 10; e = d + 15; n = s + 16; p = w + 11; b = z + 6; l = p + 4. If a = 15, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = x + 10 to e, which gives e = x + 25.\n2. Substitute x = l + 2 to e, which gives e = l + 27.\n3. Substitute l = p + 4 to e, which gives e = p + 31.\n4. Substitute p = w + 11 to e, which gives e = w + 42.\n5. Substitute w = a + 16 to e, which gives e = a + 58.\n6. Substitute a = 15 to e, which gives e = 73.\n\nThus, the final answer is e = \\boxed{73}.",
"index": 3975,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = n + 5; v = a + 5; z = v + 6; w = a + 16; x = l + 2; s = b + 15; a = 15; d = x + 10; e = d + 15; n = s + 16; p = w + 11; b = z + 6; l = p + 4. If a = 15, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"r": "q + 5", "a": "r + 13", "h": "a + 10", "t": "h + 18", "x": "t + 20", "c": "x + 7", "n": "q + 17", "y": "n + 12", "p": "y + 7", "e": "p + 2", "v": "e + 16", "f": "v + 17", "q": 11}, "premises": {"q": 11}, "target": "c"}, "answer": {"steps": [["x", "t + 20", "t + 27"], ["t", "h + 18", "h + 45"], ["h", "a + 10", "a + 55"], ["a", "r + 13", "r + 68"], ["r", "q + 5", "q + 73"], ["q", 11, "84"]], "target_var_name": "c", "target_value": 84, "value_dict": {"q": 11}, "is_reverse": true}}
| 3,976
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = 11; n = q + 17; r = q + 5; t = h + 18; y = n + 12; e = p + 2; p = y + 7; v = e + 16; a = r + 13; f = v + 17; x = t + 20; h = a + 10; c = x + 7. If q = 11, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = t + 20 to c, which gives c = t + 27.\n2. Substitute t = h + 18 to c, which gives c = h + 45.\n3. Substitute h = a + 10 to c, which gives c = a + 55.\n4. Substitute a = r + 13 to c, which gives c = r + 68.\n5. Substitute r = q + 5 to c, which gives c = q + 73.\n6. Substitute q = 11 to c, which gives c = 84.\n\nThus, the final answer is c = \\boxed{84}.",
"index": 3976,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = 11; n = q + 17; r = q + 5; t = h + 18; y = n + 12; e = p + 2; p = y + 7; v = e + 16; a = r + 13; f = v + 17; x = t + 20; h = a + 10; c = x + 7. If q = 11, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"c": "i + 18", "o": "c + 5", "w": "o + 7", "l": "w + 20", "n": "l + 7", "j": "n + 14", "m": "i + 20", "y": "m + 3", "a": "y + 11", "k": "a + 20", "x": "k + 19", "v": "x + 10", "i": 9}, "premises": {"i": 9}, "target": "j"}, "answer": {"steps": [["n", "l + 7", "l + 21"], ["l", "w + 20", "w + 41"], ["w", "o + 7", "o + 48"], ["o", "c + 5", "c + 53"], ["c", "i + 18", "i + 71"], ["i", 9, "80"]], "target_var_name": "j", "target_value": 80, "value_dict": {"i": 9}, "is_reverse": true}}
| 3,977
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = i + 20; c = i + 18; k = a + 20; x = k + 19; y = m + 3; v = x + 10; i = 9; n = l + 7; l = w + 20; j = n + 14; w = o + 7; o = c + 5; a = y + 11. Given that i = 9, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = l + 7 to j, which gives j = l + 21.\n2. Substitute l = w + 20 to j, which gives j = w + 41.\n3. Substitute w = o + 7 to j, which gives j = o + 48.\n4. Substitute o = c + 5 to j, which gives j = c + 53.\n5. Substitute c = i + 18 to j, which gives j = i + 71.\n6. Substitute i = 9 to j, which gives j = 80.\n\nThus, the final answer is j = \\boxed{80}.",
"index": 3977,
"question": "Suppose a collection of variables is related by the following definitions: m = i + 20; c = i + 18; k = a + 20; x = k + 19; y = m + 3; v = x + 10; i = 9; n = l + 7; l = w + 20; j = n + 14; w = o + 7; o = c + 5; a = y + 11. Given that i = 9, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"f": "h + 16", "l": "f + 16", "n": "l + 6", "c": "n + 16", "e": "c + 20", "j": "e + 7", "v": "h + 9", "t": "v + 7", "m": "t + 9", "y": "m + 6", "b": "y + 13", "u": "b + 7", "h": 3}, "premises": {"h": 3}, "target": "j"}, "answer": {"steps": [["e", "c + 20", "c + 27"], ["c", "n + 16", "n + 43"], ["n", "l + 6", "l + 49"], ["l", "f + 16", "f + 65"], ["f", "h + 16", "h + 81"], ["h", 3, "84"]], "target_var_name": "j", "target_value": 84, "value_dict": {"h": 3}, "is_reverse": true}}
| 3,978
| 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 = v + 7; e = c + 20; j = e + 7; v = h + 9; l = f + 16; y = m + 6; c = n + 16; m = t + 9; h = 3; f = h + 16; u = b + 7; b = y + 13; n = l + 6. If h = 3, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = c + 20 to j, which gives j = c + 27.\n2. Substitute c = n + 16 to j, which gives j = n + 43.\n3. Substitute n = l + 6 to j, which gives j = l + 49.\n4. Substitute l = f + 16 to j, which gives j = f + 65.\n5. Substitute f = h + 16 to j, which gives j = h + 81.\n6. Substitute h = 3 to j, which gives j = 84.\n\nThus, the final answer is j = \\boxed{84}.",
"index": 3978,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = v + 7; e = c + 20; j = e + 7; v = h + 9; l = f + 16; y = m + 6; c = n + 16; m = t + 9; h = 3; f = h + 16; u = b + 7; b = y + 13; n = l + 6. If h = 3, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"g": "b + 11", "k": "g + 2", "m": "k + 14", "d": "m + 8", "w": "d + 9", "y": "w + 18", "q": "b + 10", "r": "q + 3", "e": "r + 1", "l": "e + 5", "t": "l + 13", "c": "t + 12", "b": 9}, "premises": {"b": 9}, "target": "y"}, "answer": {"steps": [["w", "d + 9", "d + 27"], ["d", "m + 8", "m + 35"], ["m", "k + 14", "k + 49"], ["k", "g + 2", "g + 51"], ["g", "b + 11", "b + 62"], ["b", 9, "71"]], "target_var_name": "y", "target_value": 71, "value_dict": {"b": 9}, "is_reverse": true}}
| 3,979
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = k + 14; q = b + 10; t = l + 13; y = w + 18; b = 9; w = d + 9; c = t + 12; k = g + 2; l = e + 5; r = q + 3; g = b + 11; d = m + 8; e = r + 1. If b = 9, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = d + 9 to y, which gives y = d + 27.\n2. Substitute d = m + 8 to y, which gives y = m + 35.\n3. Substitute m = k + 14 to y, which gives y = k + 49.\n4. Substitute k = g + 2 to y, which gives y = g + 51.\n5. Substitute g = b + 11 to y, which gives y = b + 62.\n6. Substitute b = 9 to y, which gives y = 71.\n\nThus, the final answer is y = \\boxed{71}.",
"index": 3979,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = k + 14; q = b + 10; t = l + 13; y = w + 18; b = 9; w = d + 9; c = t + 12; k = g + 2; l = e + 5; r = q + 3; g = b + 11; d = m + 8; e = r + 1. If b = 9, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"h": "d + 3", "o": "h + 13", "v": "o + 2", "j": "v + 17", "k": "j + 14", "e": "k + 14", "n": "d + 9", "g": "n + 2", "f": "g + 18", "a": "f + 10", "l": "a + 13", "i": "l + 3", "d": 14}, "premises": {"d": 14}, "target": "e"}, "answer": {"steps": [["k", "j + 14", "j + 28"], ["j", "v + 17", "v + 45"], ["v", "o + 2", "o + 47"], ["o", "h + 13", "h + 60"], ["h", "d + 3", "d + 63"], ["d", 14, "77"]], "target_var_name": "e", "target_value": 77, "value_dict": {"d": 14}, "is_reverse": true}}
| 3,980
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = f + 10; e = k + 14; g = n + 2; f = g + 18; l = a + 13; v = o + 2; j = v + 17; o = h + 13; n = d + 9; i = l + 3; h = d + 3; k = j + 14; d = 14. Given that d = 14, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = j + 14 to e, which gives e = j + 28.\n2. Substitute j = v + 17 to e, which gives e = v + 45.\n3. Substitute v = o + 2 to e, which gives e = o + 47.\n4. Substitute o = h + 13 to e, which gives e = h + 60.\n5. Substitute h = d + 3 to e, which gives e = d + 63.\n6. Substitute d = 14 to e, which gives e = 77.\n\nThus, the final answer is e = \\boxed{77}.",
"index": 3980,
"question": "Suppose a collection of variables is related by the following definitions: a = f + 10; e = k + 14; g = n + 2; f = g + 18; l = a + 13; v = o + 2; j = v + 17; o = h + 13; n = d + 9; i = l + 3; h = d + 3; k = j + 14; d = 14. Given that d = 14, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"h": "j + 11", "t": "h + 7", "k": "t + 20", "e": "k + 6", "v": "e + 16", "g": "v + 1", "y": "j + 14", "o": "y + 19", "f": "o + 2", "x": "f + 7", "q": "x + 6", "z": "q + 6", "j": 3}, "premises": {"j": 3}, "target": "g"}, "answer": {"steps": [["v", "e + 16", "e + 17"], ["e", "k + 6", "k + 23"], ["k", "t + 20", "t + 43"], ["t", "h + 7", "h + 50"], ["h", "j + 11", "j + 61"], ["j", 3, "64"]], "target_var_name": "g", "target_value": 64, "value_dict": {"j": 3}, "is_reverse": true}}
| 3,981
| 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 = o + 2; e = k + 6; z = q + 6; j = 3; o = y + 19; g = v + 1; x = f + 7; h = j + 11; y = j + 14; k = t + 20; q = x + 6; t = h + 7; v = e + 16. If j = 3, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = e + 16 to g, which gives g = e + 17.\n2. Substitute e = k + 6 to g, which gives g = k + 23.\n3. Substitute k = t + 20 to g, which gives g = t + 43.\n4. Substitute t = h + 7 to g, which gives g = h + 50.\n5. Substitute h = j + 11 to g, which gives g = j + 61.\n6. Substitute j = 3 to g, which gives g = 64.\n\nThus, the final answer is g = \\boxed{64}.",
"index": 3981,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = o + 2; e = k + 6; z = q + 6; j = 3; o = y + 19; g = v + 1; x = f + 7; h = j + 11; y = j + 14; k = t + 20; q = x + 6; t = h + 7; v = e + 16. If j = 3, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"a": "r + 3", "m": "a + 5", "i": "m + 14", "g": "i + 9", "j": "g + 8", "x": "j + 11", "k": "r + 13", "d": "k + 12", "e": "d + 13", "b": "e + 6", "o": "b + 8", "h": "o + 20", "r": 8}, "premises": {"r": 8}, "target": "x"}, "answer": {"steps": [["j", "g + 8", "g + 19"], ["g", "i + 9", "i + 28"], ["i", "m + 14", "m + 42"], ["m", "a + 5", "a + 47"], ["a", "r + 3", "r + 50"], ["r", 8, "58"]], "target_var_name": "x", "target_value": 58, "value_dict": {"r": 8}, "is_reverse": true}}
| 3,982
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = d + 13; x = j + 11; k = r + 13; i = m + 14; a = r + 3; b = e + 6; o = b + 8; h = o + 20; d = k + 12; m = a + 5; g = i + 9; j = g + 8; r = 8. Given that r = 8, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = g + 8 to x, which gives x = g + 19.\n2. Substitute g = i + 9 to x, which gives x = i + 28.\n3. Substitute i = m + 14 to x, which gives x = m + 42.\n4. Substitute m = a + 5 to x, which gives x = a + 47.\n5. Substitute a = r + 3 to x, which gives x = r + 50.\n6. Substitute r = 8 to x, which gives x = 58.\n\nThus, the final answer is x = \\boxed{58}.",
"index": 3982,
"question": "Suppose a collection of variables is related by the following definitions: e = d + 13; x = j + 11; k = r + 13; i = m + 14; a = r + 3; b = e + 6; o = b + 8; h = o + 20; d = k + 12; m = a + 5; g = i + 9; j = g + 8; r = 8. Given that r = 8, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"r": "g + 12", "m": "r + 20", "v": "m + 1", "c": "v + 19", "h": "c + 3", "k": "h + 4", "i": "g + 2", "e": "i + 18", "b": "e + 9", "z": "b + 17", "y": "z + 9", "s": "y + 14", "g": 14}, "premises": {"g": 14}, "target": "k"}, "answer": {"steps": [["h", "c + 3", "c + 7"], ["c", "v + 19", "v + 26"], ["v", "m + 1", "m + 27"], ["m", "r + 20", "r + 47"], ["r", "g + 12", "g + 59"], ["g", 14, "73"]], "target_var_name": "k", "target_value": 73, "value_dict": {"g": 14}, "is_reverse": true}}
| 3,983
| 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 = y + 14; i = g + 2; r = g + 12; b = e + 9; y = z + 9; e = i + 18; m = r + 20; k = h + 4; g = 14; c = v + 19; h = c + 3; v = m + 1; z = b + 17. If g = 14, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = c + 3 to k, which gives k = c + 7.\n2. Substitute c = v + 19 to k, which gives k = v + 26.\n3. Substitute v = m + 1 to k, which gives k = m + 27.\n4. Substitute m = r + 20 to k, which gives k = r + 47.\n5. Substitute r = g + 12 to k, which gives k = g + 59.\n6. Substitute g = 14 to k, which gives k = 73.\n\nThus, the final answer is k = \\boxed{73}.",
"index": 3983,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = y + 14; i = g + 2; r = g + 12; b = e + 9; y = z + 9; e = i + 18; m = r + 20; k = h + 4; g = 14; c = v + 19; h = c + 3; v = m + 1; z = b + 17. If g = 14, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"b": "e + 3", "x": "b + 7", "t": "x + 16", "i": "t + 16", "d": "i + 2", "q": "d + 6", "w": "e + 8", "r": "w + 13", "g": "r + 8", "z": "g + 9", "u": "z + 10", "v": "u + 2", "e": 11}, "premises": {"e": 11}, "target": "q"}, "answer": {"steps": [["d", "i + 2", "i + 8"], ["i", "t + 16", "t + 24"], ["t", "x + 16", "x + 40"], ["x", "b + 7", "b + 47"], ["b", "e + 3", "e + 50"], ["e", 11, "61"]], "target_var_name": "q", "target_value": 61, "value_dict": {"e": 11}, "is_reverse": true}}
| 3,984
| 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 = e + 3; e = 11; w = e + 8; r = w + 13; q = d + 6; z = g + 9; d = i + 2; t = x + 16; x = b + 7; i = t + 16; v = u + 2; u = z + 10; g = r + 8. If e = 11, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = i + 2 to q, which gives q = i + 8.\n2. Substitute i = t + 16 to q, which gives q = t + 24.\n3. Substitute t = x + 16 to q, which gives q = x + 40.\n4. Substitute x = b + 7 to q, which gives q = b + 47.\n5. Substitute b = e + 3 to q, which gives q = e + 50.\n6. Substitute e = 11 to q, which gives q = 61.\n\nThus, the final answer is q = \\boxed{61}.",
"index": 3984,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = e + 3; e = 11; w = e + 8; r = w + 13; q = d + 6; z = g + 9; d = i + 2; t = x + 16; x = b + 7; i = t + 16; v = u + 2; u = z + 10; g = r + 8. If e = 11, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"l": "z + 3", "o": "l + 18", "r": "o + 5", "k": "r + 19", "m": "k + 1", "p": "m + 7", "i": "z + 20", "q": "i + 20", "a": "q + 9", "g": "a + 11", "v": "g + 12", "x": "v + 14", "z": 20}, "premises": {"z": 20}, "target": "p"}, "answer": {"steps": [["m", "k + 1", "k + 8"], ["k", "r + 19", "r + 27"], ["r", "o + 5", "o + 32"], ["o", "l + 18", "l + 50"], ["l", "z + 3", "z + 53"], ["z", 20, "73"]], "target_var_name": "p", "target_value": 73, "value_dict": {"z": 20}, "is_reverse": true}}
| 3,985
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = a + 11; o = l + 18; x = v + 14; q = i + 20; k = r + 19; z = 20; a = q + 9; v = g + 12; r = o + 5; m = k + 1; p = m + 7; l = z + 3; i = z + 20. Given that z = 20, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = k + 1 to p, which gives p = k + 8.\n2. Substitute k = r + 19 to p, which gives p = r + 27.\n3. Substitute r = o + 5 to p, which gives p = o + 32.\n4. Substitute o = l + 18 to p, which gives p = l + 50.\n5. Substitute l = z + 3 to p, which gives p = z + 53.\n6. Substitute z = 20 to p, which gives p = 73.\n\nThus, the final answer is p = \\boxed{73}.",
"index": 3985,
"question": "Suppose a collection of variables is related by the following definitions: g = a + 11; o = l + 18; x = v + 14; q = i + 20; k = r + 19; z = 20; a = q + 9; v = g + 12; r = o + 5; m = k + 1; p = m + 7; l = z + 3; i = z + 20. Given that z = 20, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"i": "g + 17", "z": "i + 16", "r": "z + 12", "b": "r + 15", "m": "b + 15", "y": "m + 7", "v": "g + 11", "p": "v + 9", "d": "p + 11", "x": "d + 8", "w": "x + 17", "h": "w + 15", "g": 18}, "premises": {"g": 18}, "target": "y"}, "answer": {"steps": [["m", "b + 15", "b + 22"], ["b", "r + 15", "r + 37"], ["r", "z + 12", "z + 49"], ["z", "i + 16", "i + 65"], ["i", "g + 17", "g + 82"], ["g", 18, "100"]], "target_var_name": "y", "target_value": 100, "value_dict": {"g": 18}, "is_reverse": true}}
| 3,986
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = w + 15; m = b + 15; b = r + 15; z = i + 16; x = d + 8; d = p + 11; r = z + 12; w = x + 17; v = g + 11; p = v + 9; g = 18; i = g + 17; y = m + 7. Given that g = 18, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 100,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = b + 15 to y, which gives y = b + 22.\n2. Substitute b = r + 15 to y, which gives y = r + 37.\n3. Substitute r = z + 12 to y, which gives y = z + 49.\n4. Substitute z = i + 16 to y, which gives y = i + 65.\n5. Substitute i = g + 17 to y, which gives y = g + 82.\n6. Substitute g = 18 to y, which gives y = 100.\n\nThus, the final answer is y = \\boxed{100}.",
"index": 3986,
"question": "Suppose a collection of variables is related by the following definitions: h = w + 15; m = b + 15; b = r + 15; z = i + 16; x = d + 8; d = p + 11; r = z + 12; w = x + 17; v = g + 11; p = v + 9; g = 18; i = g + 17; y = m + 7. Given that g = 18, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"p": "x + 20", "g": "p + 3", "s": "g + 8", "t": "s + 18", "w": "t + 6", "k": "w + 10", "r": "x + 6", "n": "r + 16", "b": "n + 16", "c": "b + 8", "f": "c + 13", "j": "f + 15", "x": 19}, "premises": {"x": 19}, "target": "k"}, "answer": {"steps": [["w", "t + 6", "t + 16"], ["t", "s + 18", "s + 34"], ["s", "g + 8", "g + 42"], ["g", "p + 3", "p + 45"], ["p", "x + 20", "x + 65"], ["x", 19, "84"]], "target_var_name": "k", "target_value": 84, "value_dict": {"x": 19}, "is_reverse": true}}
| 3,987
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = p + 3; f = c + 13; n = r + 16; p = x + 20; s = g + 8; r = x + 6; w = t + 6; t = s + 18; x = 19; b = n + 16; k = w + 10; c = b + 8; j = f + 15. Given that x = 19, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = t + 6 to k, which gives k = t + 16.\n2. Substitute t = s + 18 to k, which gives k = s + 34.\n3. Substitute s = g + 8 to k, which gives k = g + 42.\n4. Substitute g = p + 3 to k, which gives k = p + 45.\n5. Substitute p = x + 20 to k, which gives k = x + 65.\n6. Substitute x = 19 to k, which gives k = 84.\n\nThus, the final answer is k = \\boxed{84}.",
"index": 3987,
"question": "Suppose a collection of variables is related by the following definitions: g = p + 3; f = c + 13; n = r + 16; p = x + 20; s = g + 8; r = x + 6; w = t + 6; t = s + 18; x = 19; b = n + 16; k = w + 10; c = b + 8; j = f + 15. Given that x = 19, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"t": "g + 16", "u": "t + 11", "m": "u + 19", "e": "m + 13", "d": "e + 17", "r": "d + 2", "v": "g + 1", "k": "v + 13", "c": "k + 5", "p": "c + 6", "l": "p + 13", "j": "l + 8", "g": 13}, "premises": {"g": 13}, "target": "r"}, "answer": {"steps": [["d", "e + 17", "e + 19"], ["e", "m + 13", "m + 32"], ["m", "u + 19", "u + 51"], ["u", "t + 11", "t + 62"], ["t", "g + 16", "g + 78"], ["g", 13, "91"]], "target_var_name": "r", "target_value": 91, "value_dict": {"g": 13}, "is_reverse": true}}
| 3,988
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = 13; r = d + 2; t = g + 16; p = c + 6; e = m + 13; v = g + 1; l = p + 13; c = k + 5; j = l + 8; u = t + 11; d = e + 17; m = u + 19; k = v + 13. Given that g = 13, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = e + 17 to r, which gives r = e + 19.\n2. Substitute e = m + 13 to r, which gives r = m + 32.\n3. Substitute m = u + 19 to r, which gives r = u + 51.\n4. Substitute u = t + 11 to r, which gives r = t + 62.\n5. Substitute t = g + 16 to r, which gives r = g + 78.\n6. Substitute g = 13 to r, which gives r = 91.\n\nThus, the final answer is r = \\boxed{91}.",
"index": 3988,
"question": "Suppose a collection of variables is related by the following definitions: g = 13; r = d + 2; t = g + 16; p = c + 6; e = m + 13; v = g + 1; l = p + 13; c = k + 5; j = l + 8; u = t + 11; d = e + 17; m = u + 19; k = v + 13. Given that g = 13, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"b": "l + 13", "j": "b + 8", "t": "j + 1", "n": "t + 13", "e": "n + 1", "h": "e + 18", "w": "l + 13", "g": "w + 15", "y": "g + 14", "u": "y + 13", "p": "u + 3", "x": "p + 2", "l": 18}, "premises": {"l": 18}, "target": "h"}, "answer": {"steps": [["e", "n + 1", "n + 19"], ["n", "t + 13", "t + 32"], ["t", "j + 1", "j + 33"], ["j", "b + 8", "b + 41"], ["b", "l + 13", "l + 54"], ["l", 18, "72"]], "target_var_name": "h", "target_value": 72, "value_dict": {"l": 18}, "is_reverse": true}}
| 3,989
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = l + 13; y = g + 14; g = w + 15; e = n + 1; h = e + 18; n = t + 13; t = j + 1; x = p + 2; l = 18; b = l + 13; p = u + 3; j = b + 8; u = y + 13. If l = 18, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = n + 1 to h, which gives h = n + 19.\n2. Substitute n = t + 13 to h, which gives h = t + 32.\n3. Substitute t = j + 1 to h, which gives h = j + 33.\n4. Substitute j = b + 8 to h, which gives h = b + 41.\n5. Substitute b = l + 13 to h, which gives h = l + 54.\n6. Substitute l = 18 to h, which gives h = 72.\n\nThus, the final answer is h = \\boxed{72}.",
"index": 3989,
"question": "Consider a system of variables where each variable is defined as follows: w = l + 13; y = g + 14; g = w + 15; e = n + 1; h = e + 18; n = t + 13; t = j + 1; x = p + 2; l = 18; b = l + 13; p = u + 3; j = b + 8; u = y + 13. If l = 18, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"r": "o + 12", "j": "r + 7", "e": "j + 2", "a": "e + 13", "s": "a + 2", "c": "s + 19", "w": "o + 9", "t": "w + 9", "i": "t + 10", "b": "i + 9", "z": "b + 18", "v": "z + 8", "o": 2}, "premises": {"o": 2}, "target": "c"}, "answer": {"steps": [["s", "a + 2", "a + 21"], ["a", "e + 13", "e + 34"], ["e", "j + 2", "j + 36"], ["j", "r + 7", "r + 43"], ["r", "o + 12", "o + 55"], ["o", 2, "57"]], "target_var_name": "c", "target_value": 57, "value_dict": {"o": 2}, "is_reverse": true}}
| 3,990
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = a + 2; w = o + 9; v = z + 8; i = t + 10; e = j + 2; b = i + 9; o = 2; c = s + 19; a = e + 13; r = o + 12; t = w + 9; z = b + 18; j = r + 7. If o = 2, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = a + 2 to c, which gives c = a + 21.\n2. Substitute a = e + 13 to c, which gives c = e + 34.\n3. Substitute e = j + 2 to c, which gives c = j + 36.\n4. Substitute j = r + 7 to c, which gives c = r + 43.\n5. Substitute r = o + 12 to c, which gives c = o + 55.\n6. Substitute o = 2 to c, which gives c = 57.\n\nThus, the final answer is c = \\boxed{57}.",
"index": 3990,
"question": "Consider a system of variables where each variable is defined as follows: s = a + 2; w = o + 9; v = z + 8; i = t + 10; e = j + 2; b = i + 9; o = 2; c = s + 19; a = e + 13; r = o + 12; t = w + 9; z = b + 18; j = r + 7. If o = 2, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"v": "c + 15", "g": "v + 20", "a": "g + 7", "z": "a + 4", "l": "z + 6", "r": "l + 2", "b": "c + 9", "o": "b + 7", "y": "o + 17", "j": "y + 9", "w": "j + 19", "u": "w + 7", "c": 17}, "premises": {"c": 17}, "target": "r"}, "answer": {"steps": [["l", "z + 6", "z + 8"], ["z", "a + 4", "a + 12"], ["a", "g + 7", "g + 19"], ["g", "v + 20", "v + 39"], ["v", "c + 15", "c + 54"], ["c", 17, "71"]], "target_var_name": "r", "target_value": 71, "value_dict": {"c": 17}, "is_reverse": true}}
| 3,991
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = z + 6; z = a + 4; c = 17; u = w + 7; o = b + 7; b = c + 9; j = y + 9; r = l + 2; v = c + 15; w = j + 19; y = o + 17; a = g + 7; g = v + 20. If c = 17, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = z + 6 to r, which gives r = z + 8.\n2. Substitute z = a + 4 to r, which gives r = a + 12.\n3. Substitute a = g + 7 to r, which gives r = g + 19.\n4. Substitute g = v + 20 to r, which gives r = v + 39.\n5. Substitute v = c + 15 to r, which gives r = c + 54.\n6. Substitute c = 17 to r, which gives r = 71.\n\nThus, the final answer is r = \\boxed{71}.",
"index": 3991,
"question": "Consider a system of variables where each variable is defined as follows: l = z + 6; z = a + 4; c = 17; u = w + 7; o = b + 7; b = c + 9; j = y + 9; r = l + 2; v = c + 15; w = j + 19; y = o + 17; a = g + 7; g = v + 20. If c = 17, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"n": "s + 3", "i": "n + 16", "k": "i + 5", "x": "k + 12", "p": "x + 17", "j": "p + 11", "d": "s + 11", "m": "d + 2", "t": "m + 6", "o": "t + 13", "b": "o + 17", "q": "b + 4", "s": 14}, "premises": {"s": 14}, "target": "j"}, "answer": {"steps": [["p", "x + 17", "x + 28"], ["x", "k + 12", "k + 40"], ["k", "i + 5", "i + 45"], ["i", "n + 16", "n + 61"], ["n", "s + 3", "s + 64"], ["s", 14, "78"]], "target_var_name": "j", "target_value": 78, "value_dict": {"s": 14}, "is_reverse": true}}
| 3,992
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = x + 17; o = t + 13; s = 14; i = n + 16; m = d + 2; j = p + 11; k = i + 5; b = o + 17; x = k + 12; q = b + 4; d = s + 11; t = m + 6; n = s + 3. Given that s = 14, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = x + 17 to j, which gives j = x + 28.\n2. Substitute x = k + 12 to j, which gives j = k + 40.\n3. Substitute k = i + 5 to j, which gives j = i + 45.\n4. Substitute i = n + 16 to j, which gives j = n + 61.\n5. Substitute n = s + 3 to j, which gives j = s + 64.\n6. Substitute s = 14 to j, which gives j = 78.\n\nThus, the final answer is j = \\boxed{78}.",
"index": 3992,
"question": "Suppose a collection of variables is related by the following definitions: p = x + 17; o = t + 13; s = 14; i = n + 16; m = d + 2; j = p + 11; k = i + 5; b = o + 17; x = k + 12; q = b + 4; d = s + 11; t = m + 6; n = s + 3. Given that s = 14, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"p": "i + 2", "q": "p + 4", "n": "q + 3", "s": "n + 6", "x": "s + 6", "o": "x + 20", "h": "i + 4", "b": "h + 5", "f": "b + 10", "w": "f + 6", "e": "w + 7", "g": "e + 15", "i": 14}, "premises": {"i": 14}, "target": "o"}, "answer": {"steps": [["x", "s + 6", "s + 26"], ["s", "n + 6", "n + 32"], ["n", "q + 3", "q + 35"], ["q", "p + 4", "p + 39"], ["p", "i + 2", "i + 41"], ["i", 14, "55"]], "target_var_name": "o", "target_value": 55, "value_dict": {"i": 14}, "is_reverse": true}}
| 3,993
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = x + 20; g = e + 15; b = h + 5; q = p + 4; p = i + 2; i = 14; w = f + 6; n = q + 3; s = n + 6; e = w + 7; h = i + 4; f = b + 10; x = s + 6. Given that i = 14, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = s + 6 to o, which gives o = s + 26.\n2. Substitute s = n + 6 to o, which gives o = n + 32.\n3. Substitute n = q + 3 to o, which gives o = q + 35.\n4. Substitute q = p + 4 to o, which gives o = p + 39.\n5. Substitute p = i + 2 to o, which gives o = i + 41.\n6. Substitute i = 14 to o, which gives o = 55.\n\nThus, the final answer is o = \\boxed{55}.",
"index": 3993,
"question": "Suppose a collection of variables is related by the following definitions: o = x + 20; g = e + 15; b = h + 5; q = p + 4; p = i + 2; i = 14; w = f + 6; n = q + 3; s = n + 6; e = w + 7; h = i + 4; f = b + 10; x = s + 6. Given that i = 14, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"q": "e + 2", "a": "q + 1", "k": "a + 20", "n": "k + 14", "u": "n + 20", "g": "u + 2", "d": "e + 16", "p": "d + 12", "s": "p + 12", "l": "s + 13", "z": "l + 5", "i": "z + 20", "e": 7}, "premises": {"e": 7}, "target": "g"}, "answer": {"steps": [["u", "n + 20", "n + 22"], ["n", "k + 14", "k + 36"], ["k", "a + 20", "a + 56"], ["a", "q + 1", "q + 57"], ["q", "e + 2", "e + 59"], ["e", 7, "66"]], "target_var_name": "g", "target_value": 66, "value_dict": {"e": 7}, "is_reverse": true}}
| 3,994
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = p + 12; z = l + 5; n = k + 14; d = e + 16; u = n + 20; i = z + 20; e = 7; k = a + 20; g = u + 2; p = d + 12; a = q + 1; q = e + 2; l = s + 13. If e = 7, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = n + 20 to g, which gives g = n + 22.\n2. Substitute n = k + 14 to g, which gives g = k + 36.\n3. Substitute k = a + 20 to g, which gives g = a + 56.\n4. Substitute a = q + 1 to g, which gives g = q + 57.\n5. Substitute q = e + 2 to g, which gives g = e + 59.\n6. Substitute e = 7 to g, which gives g = 66.\n\nThus, the final answer is g = \\boxed{66}.",
"index": 3994,
"question": "Consider a system of variables where each variable is defined as follows: s = p + 12; z = l + 5; n = k + 14; d = e + 16; u = n + 20; i = z + 20; e = 7; k = a + 20; g = u + 2; p = d + 12; a = q + 1; q = e + 2; l = s + 13. If e = 7, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"n": "e + 10", "z": "n + 11", "w": "z + 16", "l": "w + 11", "b": "l + 1", "o": "b + 8", "u": "e + 2", "d": "u + 6", "k": "d + 13", "v": "k + 15", "i": "v + 10", "a": "i + 3", "e": 7}, "premises": {"e": 7}, "target": "o"}, "answer": {"steps": [["b", "l + 1", "l + 9"], ["l", "w + 11", "w + 20"], ["w", "z + 16", "z + 36"], ["z", "n + 11", "n + 47"], ["n", "e + 10", "e + 57"], ["e", 7, "64"]], "target_var_name": "o", "target_value": 64, "value_dict": {"e": 7}, "is_reverse": true}}
| 3,995
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = b + 8; b = l + 1; i = v + 10; z = n + 11; n = e + 10; l = w + 11; w = z + 16; k = d + 13; d = u + 6; a = i + 3; v = k + 15; e = 7; u = e + 2. If e = 7, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = l + 1 to o, which gives o = l + 9.\n2. Substitute l = w + 11 to o, which gives o = w + 20.\n3. Substitute w = z + 16 to o, which gives o = z + 36.\n4. Substitute z = n + 11 to o, which gives o = n + 47.\n5. Substitute n = e + 10 to o, which gives o = e + 57.\n6. Substitute e = 7 to o, which gives o = 64.\n\nThus, the final answer is o = \\boxed{64}.",
"index": 3995,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = b + 8; b = l + 1; i = v + 10; z = n + 11; n = e + 10; l = w + 11; w = z + 16; k = d + 13; d = u + 6; a = i + 3; v = k + 15; e = 7; u = e + 2. If e = 7, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"k": "x + 11", "i": "k + 7", "d": "i + 13", "a": "d + 17", "h": "a + 1", "j": "h + 17", "s": "x + 10", "u": "s + 1", "g": "u + 13", "q": "g + 3", "f": "q + 16", "n": "f + 12", "x": 12}, "premises": {"x": 12}, "target": "j"}, "answer": {"steps": [["h", "a + 1", "a + 18"], ["a", "d + 17", "d + 35"], ["d", "i + 13", "i + 48"], ["i", "k + 7", "k + 55"], ["k", "x + 11", "x + 66"], ["x", 12, "78"]], "target_var_name": "j", "target_value": 78, "value_dict": {"x": 12}, "is_reverse": true}}
| 3,996
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = u + 13; s = x + 10; x = 12; h = a + 1; d = i + 13; f = q + 16; u = s + 1; a = d + 17; k = x + 11; n = f + 12; i = k + 7; j = h + 17; q = g + 3. If x = 12, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = a + 1 to j, which gives j = a + 18.\n2. Substitute a = d + 17 to j, which gives j = d + 35.\n3. Substitute d = i + 13 to j, which gives j = i + 48.\n4. Substitute i = k + 7 to j, which gives j = k + 55.\n5. Substitute k = x + 11 to j, which gives j = x + 66.\n6. Substitute x = 12 to j, which gives j = 78.\n\nThus, the final answer is j = \\boxed{78}.",
"index": 3996,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = u + 13; s = x + 10; x = 12; h = a + 1; d = i + 13; f = q + 16; u = s + 1; a = d + 17; k = x + 11; n = f + 12; i = k + 7; j = h + 17; q = g + 3. If x = 12, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"y": "m + 9", "b": "y + 20", "t": "b + 1", "w": "t + 8", "o": "w + 19", "f": "o + 8", "c": "m + 9", "x": "c + 9", "v": "x + 4", "q": "v + 10", "i": "q + 16", "j": "i + 6", "m": 13}, "premises": {"m": 13}, "target": "f"}, "answer": {"steps": [["o", "w + 19", "w + 27"], ["w", "t + 8", "t + 35"], ["t", "b + 1", "b + 36"], ["b", "y + 20", "y + 56"], ["y", "m + 9", "m + 65"], ["m", 13, "78"]], "target_var_name": "f", "target_value": 78, "value_dict": {"m": 13}, "is_reverse": true}}
| 3,997
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = c + 9; t = b + 1; f = o + 8; i = q + 16; v = x + 4; o = w + 19; q = v + 10; y = m + 9; j = i + 6; m = 13; c = m + 9; b = y + 20; w = t + 8. If m = 13, 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 o = w + 19 to f, which gives f = w + 27.\n2. Substitute w = t + 8 to f, which gives f = t + 35.\n3. Substitute t = b + 1 to f, which gives f = b + 36.\n4. Substitute b = y + 20 to f, which gives f = y + 56.\n5. Substitute y = m + 9 to f, which gives f = m + 65.\n6. Substitute m = 13 to f, which gives f = 78.\n\nThus, the final answer is f = \\boxed{78}.",
"index": 3997,
"question": "Consider a system of variables where each variable is defined as follows: x = c + 9; t = b + 1; f = o + 8; i = q + 16; v = x + 4; o = w + 19; q = v + 10; y = m + 9; j = i + 6; m = 13; c = m + 9; b = y + 20; w = t + 8. If m = 13, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"j": "h + 8", "s": "j + 17", "c": "s + 3", "u": "c + 20", "r": "u + 10", "z": "r + 2", "o": "h + 18", "b": "o + 5", "v": "b + 8", "t": "v + 10", "f": "t + 20", "m": "f + 12", "h": 13}, "premises": {"h": 13}, "target": "z"}, "answer": {"steps": [["r", "u + 10", "u + 12"], ["u", "c + 20", "c + 32"], ["c", "s + 3", "s + 35"], ["s", "j + 17", "j + 52"], ["j", "h + 8", "h + 60"], ["h", 13, "73"]], "target_var_name": "z", "target_value": 73, "value_dict": {"h": 13}, "is_reverse": true}}
| 3,998
| 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 = r + 2; r = u + 10; b = o + 5; s = j + 17; f = t + 20; m = f + 12; u = c + 20; j = h + 8; o = h + 18; t = v + 10; c = s + 3; v = b + 8; h = 13. If h = 13, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = u + 10 to z, which gives z = u + 12.\n2. Substitute u = c + 20 to z, which gives z = c + 32.\n3. Substitute c = s + 3 to z, which gives z = s + 35.\n4. Substitute s = j + 17 to z, which gives z = j + 52.\n5. Substitute j = h + 8 to z, which gives z = h + 60.\n6. Substitute h = 13 to z, which gives z = 73.\n\nThus, the final answer is z = \\boxed{73}.",
"index": 3998,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = r + 2; r = u + 10; b = o + 5; s = j + 17; f = t + 20; m = f + 12; u = c + 20; j = h + 8; o = h + 18; t = v + 10; c = s + 3; v = b + 8; h = 13. If h = 13, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"h": "t + 11", "c": "h + 11", "u": "c + 20", "k": "u + 19", "p": "k + 2", "e": "p + 16", "x": "t + 7", "v": "x + 18", "b": "v + 5", "y": "b + 10", "w": "y + 19", "q": "w + 9", "t": 13}, "premises": {"t": 13}, "target": "e"}, "answer": {"steps": [["p", "k + 2", "k + 18"], ["k", "u + 19", "u + 37"], ["u", "c + 20", "c + 57"], ["c", "h + 11", "h + 68"], ["h", "t + 11", "t + 79"], ["t", 13, "92"]], "target_var_name": "e", "target_value": 92, "value_dict": {"t": 13}, "is_reverse": true}}
| 3,999
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = p + 16; x = t + 7; h = t + 11; y = b + 10; u = c + 20; q = w + 9; t = 13; b = v + 5; c = h + 11; p = k + 2; w = y + 19; k = u + 19; v = x + 18. If t = 13, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = k + 2 to e, which gives e = k + 18.\n2. Substitute k = u + 19 to e, which gives e = u + 37.\n3. Substitute u = c + 20 to e, which gives e = c + 57.\n4. Substitute c = h + 11 to e, which gives e = h + 68.\n5. Substitute h = t + 11 to e, which gives e = t + 79.\n6. Substitute t = 13 to e, which gives e = 92.\n\nThus, the final answer is e = \\boxed{92}.",
"index": 3999,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = p + 16; x = t + 7; h = t + 11; y = b + 10; u = c + 20; q = w + 9; t = 13; b = v + 5; c = h + 11; p = k + 2; w = y + 19; k = u + 19; v = x + 18. If t = 13, what is the resulting value of e?",
"split": "train"
}
|
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