meta
stringlengths 493
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25.6k
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int64 0
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stringclasses 1
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stringclasses 1
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listlengths 1
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stringclasses 1
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dict | extra_info
dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"c": "k + 9", "h": "c + 10", "d": "h + 7", "u": "d + 8", "g": "u + 18", "z": "g + 9", "q": "k + 4", "p": "q + 5", "y": "p + 17", "r": "y + 2", "s": "r + 4", "v": "s + 3", "k": 9}, "premises": {"k": 9}, "target": "z"}, "answer": {"steps": [["g", "u + 18", "u + 27"], ["u", "d + 8", "d + 35"], ["d", "h + 7", "h + 42"], ["h", "c + 10", "c + 52"], ["c", "k + 9", "k + 61"], ["k", 9, "70"]], "target_var_name": "z", "target_value": 70, "value_dict": {"k": 9}, "is_reverse": true}}
| 800
| 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 + 17; s = r + 4; v = s + 3; z = g + 9; r = y + 2; p = q + 5; h = c + 10; u = d + 8; q = k + 4; k = 9; c = k + 9; d = h + 7; g = u + 18. If k = 9, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = u + 18 to z, which gives z = u + 27.\n2. Substitute u = d + 8 to z, which gives z = d + 35.\n3. Substitute d = h + 7 to z, which gives z = h + 42.\n4. Substitute h = c + 10 to z, which gives z = c + 52.\n5. Substitute c = k + 9 to z, which gives z = k + 61.\n6. Substitute k = 9 to z, which gives z = 70.\n\nThus, the final answer is z = \\boxed{70}.",
"index": 800,
"question": "Consider a system of variables where each variable is defined as follows: y = p + 17; s = r + 4; v = s + 3; z = g + 9; r = y + 2; p = q + 5; h = c + 10; u = d + 8; q = k + 4; k = 9; c = k + 9; d = h + 7; g = u + 18. If k = 9, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"o": "r + 17", "j": "o + 17", "c": "j + 6", "z": "c + 15", "e": "z + 15", "g": "e + 19", "n": "r + 15", "t": "n + 14", "s": "t + 11", "u": "s + 8", "k": "u + 18", "l": "k + 11", "r": 17}, "premises": {"r": 17}, "target": "g"}, "answer": {"steps": [["e", "z + 15", "z + 34"], ["z", "c + 15", "c + 49"], ["c", "j + 6", "j + 55"], ["j", "o + 17", "o + 72"], ["o", "r + 17", "r + 89"], ["r", 17, "106"]], "target_var_name": "g", "target_value": 106, "value_dict": {"r": 17}, "is_reverse": true}}
| 801
| 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 = s + 8; s = t + 11; t = n + 14; l = k + 11; o = r + 17; c = j + 6; z = c + 15; k = u + 18; g = e + 19; e = z + 15; j = o + 17; n = r + 15; r = 17. If r = 17, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 106,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = z + 15 to g, which gives g = z + 34.\n2. Substitute z = c + 15 to g, which gives g = c + 49.\n3. Substitute c = j + 6 to g, which gives g = j + 55.\n4. Substitute j = o + 17 to g, which gives g = o + 72.\n5. Substitute o = r + 17 to g, which gives g = r + 89.\n6. Substitute r = 17 to g, which gives g = 106.\n\nThus, the final answer is g = \\boxed{106}.",
"index": 801,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = s + 8; s = t + 11; t = n + 14; l = k + 11; o = r + 17; c = j + 6; z = c + 15; k = u + 18; g = e + 19; e = z + 15; j = o + 17; n = r + 15; r = 17. If r = 17, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"v": "u + 14", "n": "v + 8", "w": "n + 11", "c": "w + 18", "y": "c + 11", "g": "y + 12", "p": "u + 7", "a": "p + 18", "s": "a + 18", "f": "s + 13", "x": "f + 9", "k": "x + 10", "u": 18}, "premises": {"u": 18}, "target": "g"}, "answer": {"steps": [["y", "c + 11", "c + 23"], ["c", "w + 18", "w + 41"], ["w", "n + 11", "n + 52"], ["n", "v + 8", "v + 60"], ["v", "u + 14", "u + 74"], ["u", 18, "92"]], "target_var_name": "g", "target_value": 92, "value_dict": {"u": 18}, "is_reverse": true}}
| 802
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = c + 11; w = n + 11; n = v + 8; c = w + 18; s = a + 18; a = p + 18; v = u + 14; x = f + 9; u = 18; g = y + 12; f = s + 13; p = u + 7; k = x + 10. If u = 18, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = c + 11 to g, which gives g = c + 23.\n2. Substitute c = w + 18 to g, which gives g = w + 41.\n3. Substitute w = n + 11 to g, which gives g = n + 52.\n4. Substitute n = v + 8 to g, which gives g = v + 60.\n5. Substitute v = u + 14 to g, which gives g = u + 74.\n6. Substitute u = 18 to g, which gives g = 92.\n\nThus, the final answer is g = \\boxed{92}.",
"index": 802,
"question": "Consider a system of variables where each variable is defined as follows: y = c + 11; w = n + 11; n = v + 8; c = w + 18; s = a + 18; a = p + 18; v = u + 14; x = f + 9; u = 18; g = y + 12; f = s + 13; p = u + 7; k = x + 10. If u = 18, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"i": "m + 17", "w": "i + 7", "o": "w + 9", "v": "o + 14", "c": "v + 3", "p": "c + 19", "j": "m + 5", "g": "j + 7", "d": "g + 4", "a": "d + 2", "t": "a + 1", "n": "t + 7", "m": 7}, "premises": {"m": 7}, "target": "p"}, "answer": {"steps": [["c", "v + 3", "v + 22"], ["v", "o + 14", "o + 36"], ["o", "w + 9", "w + 45"], ["w", "i + 7", "i + 52"], ["i", "m + 17", "m + 69"], ["m", 7, "76"]], "target_var_name": "p", "target_value": 76, "value_dict": {"m": 7}, "is_reverse": true}}
| 803
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = j + 7; w = i + 7; v = o + 14; a = d + 2; d = g + 4; m = 7; c = v + 3; o = w + 9; j = m + 5; t = a + 1; n = t + 7; p = c + 19; i = m + 17. Given that m = 7, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = v + 3 to p, which gives p = v + 22.\n2. Substitute v = o + 14 to p, which gives p = o + 36.\n3. Substitute o = w + 9 to p, which gives p = w + 45.\n4. Substitute w = i + 7 to p, which gives p = i + 52.\n5. Substitute i = m + 17 to p, which gives p = m + 69.\n6. Substitute m = 7 to p, which gives p = 76.\n\nThus, the final answer is p = \\boxed{76}.",
"index": 803,
"question": "Suppose a collection of variables is related by the following definitions: g = j + 7; w = i + 7; v = o + 14; a = d + 2; d = g + 4; m = 7; c = v + 3; o = w + 9; j = m + 5; t = a + 1; n = t + 7; p = c + 19; i = m + 17. Given that m = 7, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"j": "h + 18", "o": "j + 7", "m": "o + 4", "g": "m + 11", "k": "g + 15", "e": "k + 19", "x": "h + 18", "s": "x + 14", "v": "s + 17", "z": "v + 16", "n": "z + 18", "y": "n + 6", "h": 11}, "premises": {"h": 11}, "target": "e"}, "answer": {"steps": [["k", "g + 15", "g + 34"], ["g", "m + 11", "m + 45"], ["m", "o + 4", "o + 49"], ["o", "j + 7", "j + 56"], ["j", "h + 18", "h + 74"], ["h", 11, "85"]], "target_var_name": "e", "target_value": 85, "value_dict": {"h": 11}, "is_reverse": true}}
| 804
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = k + 19; z = v + 16; x = h + 18; y = n + 6; h = 11; m = o + 4; v = s + 17; s = x + 14; k = g + 15; n = z + 18; j = h + 18; g = m + 11; o = j + 7. Given that h = 11, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = g + 15 to e, which gives e = g + 34.\n2. Substitute g = m + 11 to e, which gives e = m + 45.\n3. Substitute m = o + 4 to e, which gives e = o + 49.\n4. Substitute o = j + 7 to e, which gives e = j + 56.\n5. Substitute j = h + 18 to e, which gives e = h + 74.\n6. Substitute h = 11 to e, which gives e = 85.\n\nThus, the final answer is e = \\boxed{85}.",
"index": 804,
"question": "Suppose a collection of variables is related by the following definitions: e = k + 19; z = v + 16; x = h + 18; y = n + 6; h = 11; m = o + 4; v = s + 17; s = x + 14; k = g + 15; n = z + 18; j = h + 18; g = m + 11; o = j + 7. Given that h = 11, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"b": "m + 10", "u": "b + 9", "h": "u + 19", "q": "h + 6", "z": "q + 14", "v": "z + 9", "p": "m + 16", "e": "p + 11", "i": "e + 9", "s": "i + 17", "c": "s + 8", "x": "c + 20", "m": 3}, "premises": {"m": 3}, "target": "v"}, "answer": {"steps": [["z", "q + 14", "q + 23"], ["q", "h + 6", "h + 29"], ["h", "u + 19", "u + 48"], ["u", "b + 9", "b + 57"], ["b", "m + 10", "m + 67"], ["m", 3, "70"]], "target_var_name": "v", "target_value": 70, "value_dict": {"m": 3}, "is_reverse": true}}
| 805
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = s + 8; x = c + 20; q = h + 6; h = u + 19; e = p + 11; m = 3; z = q + 14; u = b + 9; s = i + 17; p = m + 16; i = e + 9; b = m + 10; v = z + 9. Given that m = 3, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = q + 14 to v, which gives v = q + 23.\n2. Substitute q = h + 6 to v, which gives v = h + 29.\n3. Substitute h = u + 19 to v, which gives v = u + 48.\n4. Substitute u = b + 9 to v, which gives v = b + 57.\n5. Substitute b = m + 10 to v, which gives v = m + 67.\n6. Substitute m = 3 to v, which gives v = 70.\n\nThus, the final answer is v = \\boxed{70}.",
"index": 805,
"question": "Suppose a collection of variables is related by the following definitions: c = s + 8; x = c + 20; q = h + 6; h = u + 19; e = p + 11; m = 3; z = q + 14; u = b + 9; s = i + 17; p = m + 16; i = e + 9; b = m + 10; v = z + 9. Given that m = 3, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"v": "b + 10", "g": "v + 7", "k": "g + 7", "y": "k + 10", "h": "y + 12", "e": "h + 8", "a": "b + 4", "o": "a + 16", "m": "o + 6", "n": "m + 20", "j": "n + 3", "p": "j + 20", "b": 8}, "premises": {"b": 8}, "target": "e"}, "answer": {"steps": [["h", "y + 12", "y + 20"], ["y", "k + 10", "k + 30"], ["k", "g + 7", "g + 37"], ["g", "v + 7", "v + 44"], ["v", "b + 10", "b + 54"], ["b", 8, "62"]], "target_var_name": "e", "target_value": 62, "value_dict": {"b": 8}, "is_reverse": true}}
| 806
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = h + 8; a = b + 4; y = k + 10; k = g + 7; p = j + 20; j = n + 3; h = y + 12; v = b + 10; g = v + 7; m = o + 6; n = m + 20; o = a + 16; b = 8. Given that b = 8, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = y + 12 to e, which gives e = y + 20.\n2. Substitute y = k + 10 to e, which gives e = k + 30.\n3. Substitute k = g + 7 to e, which gives e = g + 37.\n4. Substitute g = v + 7 to e, which gives e = v + 44.\n5. Substitute v = b + 10 to e, which gives e = b + 54.\n6. Substitute b = 8 to e, which gives e = 62.\n\nThus, the final answer is e = \\boxed{62}.",
"index": 806,
"question": "Suppose a collection of variables is related by the following definitions: e = h + 8; a = b + 4; y = k + 10; k = g + 7; p = j + 20; j = n + 3; h = y + 12; v = b + 10; g = v + 7; m = o + 6; n = m + 20; o = a + 16; b = 8. Given that b = 8, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"n": "f + 18", "k": "n + 12", "b": "k + 13", "y": "b + 13", "l": "y + 14", "c": "l + 1", "x": "f + 12", "m": "x + 10", "o": "m + 7", "p": "o + 17", "d": "p + 9", "j": "d + 19", "f": 17}, "premises": {"f": 17}, "target": "c"}, "answer": {"steps": [["l", "y + 14", "y + 15"], ["y", "b + 13", "b + 28"], ["b", "k + 13", "k + 41"], ["k", "n + 12", "n + 53"], ["n", "f + 18", "f + 71"], ["f", 17, "88"]], "target_var_name": "c", "target_value": 88, "value_dict": {"f": 17}, "is_reverse": true}}
| 807
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = x + 10; j = d + 19; c = l + 1; d = p + 9; x = f + 12; n = f + 18; k = n + 12; p = o + 17; b = k + 13; y = b + 13; o = m + 7; f = 17; l = y + 14. Given that f = 17, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = y + 14 to c, which gives c = y + 15.\n2. Substitute y = b + 13 to c, which gives c = b + 28.\n3. Substitute b = k + 13 to c, which gives c = k + 41.\n4. Substitute k = n + 12 to c, which gives c = n + 53.\n5. Substitute n = f + 18 to c, which gives c = f + 71.\n6. Substitute f = 17 to c, which gives c = 88.\n\nThus, the final answer is c = \\boxed{88}.",
"index": 807,
"question": "Suppose a collection of variables is related by the following definitions: m = x + 10; j = d + 19; c = l + 1; d = p + 9; x = f + 12; n = f + 18; k = n + 12; p = o + 17; b = k + 13; y = b + 13; o = m + 7; f = 17; l = y + 14. Given that f = 17, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"w": "k + 2", "q": "w + 7", "h": "q + 18", "z": "h + 20", "y": "z + 3", "g": "y + 13", "m": "k + 16", "i": "m + 3", "d": "i + 3", "t": "d + 4", "r": "t + 4", "c": "r + 13", "k": 6}, "premises": {"k": 6}, "target": "g"}, "answer": {"steps": [["y", "z + 3", "z + 16"], ["z", "h + 20", "h + 36"], ["h", "q + 18", "q + 54"], ["q", "w + 7", "w + 61"], ["w", "k + 2", "k + 63"], ["k", 6, "69"]], "target_var_name": "g", "target_value": 69, "value_dict": {"k": 6}, "is_reverse": true}}
| 808
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = d + 4; q = w + 7; c = r + 13; g = y + 13; y = z + 3; k = 6; r = t + 4; m = k + 16; w = k + 2; d = i + 3; i = m + 3; h = q + 18; z = h + 20. If k = 6, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = z + 3 to g, which gives g = z + 16.\n2. Substitute z = h + 20 to g, which gives g = h + 36.\n3. Substitute h = q + 18 to g, which gives g = q + 54.\n4. Substitute q = w + 7 to g, which gives g = w + 61.\n5. Substitute w = k + 2 to g, which gives g = k + 63.\n6. Substitute k = 6 to g, which gives g = 69.\n\nThus, the final answer is g = \\boxed{69}.",
"index": 808,
"question": "Consider a system of variables where each variable is defined as follows: t = d + 4; q = w + 7; c = r + 13; g = y + 13; y = z + 3; k = 6; r = t + 4; m = k + 16; w = k + 2; d = i + 3; i = m + 3; h = q + 18; z = h + 20. If k = 6, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"t": "f + 5", "z": "t + 14", "k": "z + 12", "n": "k + 19", "e": "n + 20", "w": "e + 11", "j": "f + 17", "b": "j + 19", "d": "b + 7", "q": "d + 11", "u": "q + 16", "x": "u + 19", "f": 6}, "premises": {"f": 6}, "target": "w"}, "answer": {"steps": [["e", "n + 20", "n + 31"], ["n", "k + 19", "k + 50"], ["k", "z + 12", "z + 62"], ["z", "t + 14", "t + 76"], ["t", "f + 5", "f + 81"], ["f", 6, "87"]], "target_var_name": "w", "target_value": 87, "value_dict": {"f": 6}, "is_reverse": true}}
| 809
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = f + 17; q = d + 11; u = q + 16; t = f + 5; e = n + 20; w = e + 11; d = b + 7; f = 6; n = k + 19; x = u + 19; b = j + 19; k = z + 12; z = t + 14. If f = 6, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = n + 20 to w, which gives w = n + 31.\n2. Substitute n = k + 19 to w, which gives w = k + 50.\n3. Substitute k = z + 12 to w, which gives w = z + 62.\n4. Substitute z = t + 14 to w, which gives w = t + 76.\n5. Substitute t = f + 5 to w, which gives w = f + 81.\n6. Substitute f = 6 to w, which gives w = 87.\n\nThus, the final answer is w = \\boxed{87}.",
"index": 809,
"question": "Consider a system of variables where each variable is defined as follows: j = f + 17; q = d + 11; u = q + 16; t = f + 5; e = n + 20; w = e + 11; d = b + 7; f = 6; n = k + 19; x = u + 19; b = j + 19; k = z + 12; z = t + 14. If f = 6, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"r": "s + 9", "q": "r + 6", "n": "q + 16", "k": "n + 18", "a": "k + 16", "v": "a + 18", "z": "s + 4", "f": "z + 8", "o": "f + 13", "p": "o + 9", "y": "p + 17", "i": "y + 18", "s": 4}, "premises": {"s": 4}, "target": "v"}, "answer": {"steps": [["a", "k + 16", "k + 34"], ["k", "n + 18", "n + 52"], ["n", "q + 16", "q + 68"], ["q", "r + 6", "r + 74"], ["r", "s + 9", "s + 83"], ["s", 4, "87"]], "target_var_name": "v", "target_value": 87, "value_dict": {"s": 4}, "is_reverse": true}}
| 810
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = y + 18; q = r + 6; p = o + 9; v = a + 18; y = p + 17; o = f + 13; k = n + 18; n = q + 16; a = k + 16; f = z + 8; s = 4; z = s + 4; r = s + 9. If s = 4, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = k + 16 to v, which gives v = k + 34.\n2. Substitute k = n + 18 to v, which gives v = n + 52.\n3. Substitute n = q + 16 to v, which gives v = q + 68.\n4. Substitute q = r + 6 to v, which gives v = r + 74.\n5. Substitute r = s + 9 to v, which gives v = s + 83.\n6. Substitute s = 4 to v, which gives v = 87.\n\nThus, the final answer is v = \\boxed{87}.",
"index": 810,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = y + 18; q = r + 6; p = o + 9; v = a + 18; y = p + 17; o = f + 13; k = n + 18; n = q + 16; a = k + 16; f = z + 8; s = 4; z = s + 4; r = s + 9. If s = 4, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"z": "o + 6", "r": "z + 17", "q": "r + 15", "k": "q + 14", "i": "k + 11", "b": "i + 1", "c": "o + 9", "y": "c + 11", "m": "y + 9", "u": "m + 15", "e": "u + 15", "v": "e + 11", "o": 16}, "premises": {"o": 16}, "target": "b"}, "answer": {"steps": [["i", "k + 11", "k + 12"], ["k", "q + 14", "q + 26"], ["q", "r + 15", "r + 41"], ["r", "z + 17", "z + 58"], ["z", "o + 6", "o + 64"], ["o", 16, "80"]], "target_var_name": "b", "target_value": 80, "value_dict": {"o": 16}, "is_reverse": true}}
| 811
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = m + 15; e = u + 15; b = i + 1; v = e + 11; m = y + 9; c = o + 9; o = 16; y = c + 11; z = o + 6; r = z + 17; q = r + 15; i = k + 11; k = q + 14. Given that o = 16, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = k + 11 to b, which gives b = k + 12.\n2. Substitute k = q + 14 to b, which gives b = q + 26.\n3. Substitute q = r + 15 to b, which gives b = r + 41.\n4. Substitute r = z + 17 to b, which gives b = z + 58.\n5. Substitute z = o + 6 to b, which gives b = o + 64.\n6. Substitute o = 16 to b, which gives b = 80.\n\nThus, the final answer is b = \\boxed{80}.",
"index": 811,
"question": "Suppose a collection of variables is related by the following definitions: u = m + 15; e = u + 15; b = i + 1; v = e + 11; m = y + 9; c = o + 9; o = 16; y = c + 11; z = o + 6; r = z + 17; q = r + 15; i = k + 11; k = q + 14. Given that o = 16, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"a": "c + 12", "j": "a + 3", "b": "j + 5", "i": "b + 8", "n": "i + 7", "e": "n + 9", "q": "c + 4", "r": "q + 6", "t": "r + 19", "z": "t + 10", "u": "z + 19", "k": "u + 7", "c": 15}, "premises": {"c": 15}, "target": "e"}, "answer": {"steps": [["n", "i + 7", "i + 16"], ["i", "b + 8", "b + 24"], ["b", "j + 5", "j + 29"], ["j", "a + 3", "a + 32"], ["a", "c + 12", "c + 44"], ["c", 15, "59"]], "target_var_name": "e", "target_value": 59, "value_dict": {"c": 15}, "is_reverse": true}}
| 812
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = n + 9; t = r + 19; j = a + 3; q = c + 4; z = t + 10; n = i + 7; k = u + 7; r = q + 6; c = 15; u = z + 19; b = j + 5; i = b + 8; a = c + 12. If c = 15, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = i + 7 to e, which gives e = i + 16.\n2. Substitute i = b + 8 to e, which gives e = b + 24.\n3. Substitute b = j + 5 to e, which gives e = j + 29.\n4. Substitute j = a + 3 to e, which gives e = a + 32.\n5. Substitute a = c + 12 to e, which gives e = c + 44.\n6. Substitute c = 15 to e, which gives e = 59.\n\nThus, the final answer is e = \\boxed{59}.",
"index": 812,
"question": "Consider a system of variables where each variable is defined as follows: e = n + 9; t = r + 19; j = a + 3; q = c + 4; z = t + 10; n = i + 7; k = u + 7; r = q + 6; c = 15; u = z + 19; b = j + 5; i = b + 8; a = c + 12. If c = 15, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"f": "c + 12", "z": "f + 12", "v": "z + 18", "k": "v + 11", "x": "k + 12", "l": "x + 17", "p": "c + 9", "q": "p + 15", "n": "q + 10", "j": "n + 16", "o": "j + 16", "u": "o + 9", "c": 4}, "premises": {"c": 4}, "target": "l"}, "answer": {"steps": [["x", "k + 12", "k + 29"], ["k", "v + 11", "v + 40"], ["v", "z + 18", "z + 58"], ["z", "f + 12", "f + 70"], ["f", "c + 12", "c + 82"], ["c", 4, "86"]], "target_var_name": "l", "target_value": 86, "value_dict": {"c": 4}, "is_reverse": true}}
| 813
| 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 = p + 15; x = k + 12; o = j + 16; k = v + 11; p = c + 9; j = n + 16; v = z + 18; l = x + 17; n = q + 10; c = 4; u = o + 9; f = c + 12; z = f + 12. If c = 4, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = k + 12 to l, which gives l = k + 29.\n2. Substitute k = v + 11 to l, which gives l = v + 40.\n3. Substitute v = z + 18 to l, which gives l = z + 58.\n4. Substitute z = f + 12 to l, which gives l = f + 70.\n5. Substitute f = c + 12 to l, which gives l = c + 82.\n6. Substitute c = 4 to l, which gives l = 86.\n\nThus, the final answer is l = \\boxed{86}.",
"index": 813,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = p + 15; x = k + 12; o = j + 16; k = v + 11; p = c + 9; j = n + 16; v = z + 18; l = x + 17; n = q + 10; c = 4; u = o + 9; f = c + 12; z = f + 12. If c = 4, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"j": "c + 6", "e": "j + 18", "f": "e + 13", "z": "f + 4", "x": "z + 4", "t": "x + 6", "s": "c + 6", "p": "s + 10", "y": "p + 3", "q": "y + 16", "r": "q + 18", "h": "r + 8", "c": 13}, "premises": {"c": 13}, "target": "t"}, "answer": {"steps": [["x", "z + 4", "z + 10"], ["z", "f + 4", "f + 14"], ["f", "e + 13", "e + 27"], ["e", "j + 18", "j + 45"], ["j", "c + 6", "c + 51"], ["c", 13, "64"]], "target_var_name": "t", "target_value": 64, "value_dict": {"c": 13}, "is_reverse": true}}
| 814
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = r + 8; t = x + 6; r = q + 18; q = y + 16; e = j + 18; s = c + 6; j = c + 6; f = e + 13; y = p + 3; c = 13; z = f + 4; x = z + 4; p = s + 10. If c = 13, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = z + 4 to t, which gives t = z + 10.\n2. Substitute z = f + 4 to t, which gives t = f + 14.\n3. Substitute f = e + 13 to t, which gives t = e + 27.\n4. Substitute e = j + 18 to t, which gives t = j + 45.\n5. Substitute j = c + 6 to t, which gives t = c + 51.\n6. Substitute c = 13 to t, which gives t = 64.\n\nThus, the final answer is t = \\boxed{64}.",
"index": 814,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = r + 8; t = x + 6; r = q + 18; q = y + 16; e = j + 18; s = c + 6; j = c + 6; f = e + 13; y = p + 3; c = 13; z = f + 4; x = z + 4; p = s + 10. If c = 13, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"k": "f + 18", "m": "k + 7", "h": "m + 7", "c": "h + 7", "z": "c + 2", "n": "z + 2", "l": "f + 8", "i": "l + 7", "e": "i + 19", "d": "e + 16", "b": "d + 10", "t": "b + 20", "f": 18}, "premises": {"f": 18}, "target": "n"}, "answer": {"steps": [["z", "c + 2", "c + 4"], ["c", "h + 7", "h + 11"], ["h", "m + 7", "m + 18"], ["m", "k + 7", "k + 25"], ["k", "f + 18", "f + 43"], ["f", 18, "61"]], "target_var_name": "n", "target_value": 61, "value_dict": {"f": 18}, "is_reverse": true}}
| 815
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = f + 8; k = f + 18; z = c + 2; m = k + 7; i = l + 7; d = e + 16; f = 18; h = m + 7; n = z + 2; c = h + 7; e = i + 19; b = d + 10; t = b + 20. If f = 18, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = c + 2 to n, which gives n = c + 4.\n2. Substitute c = h + 7 to n, which gives n = h + 11.\n3. Substitute h = m + 7 to n, which gives n = m + 18.\n4. Substitute m = k + 7 to n, which gives n = k + 25.\n5. Substitute k = f + 18 to n, which gives n = f + 43.\n6. Substitute f = 18 to n, which gives n = 61.\n\nThus, the final answer is n = \\boxed{61}.",
"index": 815,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = f + 8; k = f + 18; z = c + 2; m = k + 7; i = l + 7; d = e + 16; f = 18; h = m + 7; n = z + 2; c = h + 7; e = i + 19; b = d + 10; t = b + 20. If f = 18, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"g": "l + 18", "x": "g + 1", "u": "x + 14", "o": "u + 13", "n": "o + 11", "i": "n + 2", "r": "l + 18", "v": "r + 9", "f": "v + 10", "d": "f + 7", "a": "d + 19", "b": "a + 19", "l": 16}, "premises": {"l": 16}, "target": "i"}, "answer": {"steps": [["n", "o + 11", "o + 13"], ["o", "u + 13", "u + 26"], ["u", "x + 14", "x + 40"], ["x", "g + 1", "g + 41"], ["g", "l + 18", "l + 59"], ["l", 16, "75"]], "target_var_name": "i", "target_value": 75, "value_dict": {"l": 16}, "is_reverse": true}}
| 816
| 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 = x + 14; o = u + 13; b = a + 19; l = 16; r = l + 18; i = n + 2; v = r + 9; f = v + 10; n = o + 11; a = d + 19; g = l + 18; d = f + 7; x = g + 1. If l = 16, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = o + 11 to i, which gives i = o + 13.\n2. Substitute o = u + 13 to i, which gives i = u + 26.\n3. Substitute u = x + 14 to i, which gives i = x + 40.\n4. Substitute x = g + 1 to i, which gives i = g + 41.\n5. Substitute g = l + 18 to i, which gives i = l + 59.\n6. Substitute l = 16 to i, which gives i = 75.\n\nThus, the final answer is i = \\boxed{75}.",
"index": 816,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = x + 14; o = u + 13; b = a + 19; l = 16; r = l + 18; i = n + 2; v = r + 9; f = v + 10; n = o + 11; a = d + 19; g = l + 18; d = f + 7; x = g + 1. If l = 16, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"p": "z + 1", "t": "p + 3", "j": "t + 19", "d": "j + 6", "l": "d + 4", "i": "l + 4", "g": "z + 16", "w": "g + 14", "r": "w + 12", "a": "r + 8", "e": "a + 18", "f": "e + 3", "z": 2}, "premises": {"z": 2}, "target": "i"}, "answer": {"steps": [["l", "d + 4", "d + 8"], ["d", "j + 6", "j + 14"], ["j", "t + 19", "t + 33"], ["t", "p + 3", "p + 36"], ["p", "z + 1", "z + 37"], ["z", 2, "39"]], "target_var_name": "i", "target_value": 39, "value_dict": {"z": 2}, "is_reverse": true}}
| 817
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = z + 16; i = l + 4; t = p + 3; r = w + 12; l = d + 4; p = z + 1; d = j + 6; a = r + 8; e = a + 18; z = 2; f = e + 3; j = t + 19; w = g + 14. If z = 2, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 39,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = d + 4 to i, which gives i = d + 8.\n2. Substitute d = j + 6 to i, which gives i = j + 14.\n3. Substitute j = t + 19 to i, which gives i = t + 33.\n4. Substitute t = p + 3 to i, which gives i = p + 36.\n5. Substitute p = z + 1 to i, which gives i = z + 37.\n6. Substitute z = 2 to i, which gives i = 39.\n\nThus, the final answer is i = \\boxed{39}.",
"index": 817,
"question": "Consider a system of variables where each variable is defined as follows: g = z + 16; i = l + 4; t = p + 3; r = w + 12; l = d + 4; p = z + 1; d = j + 6; a = r + 8; e = a + 18; z = 2; f = e + 3; j = t + 19; w = g + 14. If z = 2, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"n": "k + 13", "c": "n + 3", "v": "c + 20", "w": "v + 9", "r": "w + 1", "h": "r + 9", "o": "k + 15", "i": "o + 17", "a": "i + 18", "b": "a + 4", "q": "b + 18", "f": "q + 2", "k": 5}, "premises": {"k": 5}, "target": "h"}, "answer": {"steps": [["r", "w + 1", "w + 10"], ["w", "v + 9", "v + 19"], ["v", "c + 20", "c + 39"], ["c", "n + 3", "n + 42"], ["n", "k + 13", "k + 55"], ["k", 5, "60"]], "target_var_name": "h", "target_value": 60, "value_dict": {"k": 5}, "is_reverse": true}}
| 818
| 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 = v + 9; i = o + 17; r = w + 1; f = q + 2; o = k + 15; c = n + 3; n = k + 13; k = 5; a = i + 18; b = a + 4; q = b + 18; h = r + 9; v = c + 20. If k = 5, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = w + 1 to h, which gives h = w + 10.\n2. Substitute w = v + 9 to h, which gives h = v + 19.\n3. Substitute v = c + 20 to h, which gives h = c + 39.\n4. Substitute c = n + 3 to h, which gives h = n + 42.\n5. Substitute n = k + 13 to h, which gives h = k + 55.\n6. Substitute k = 5 to h, which gives h = 60.\n\nThus, the final answer is h = \\boxed{60}.",
"index": 818,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = v + 9; i = o + 17; r = w + 1; f = q + 2; o = k + 15; c = n + 3; n = k + 13; k = 5; a = i + 18; b = a + 4; q = b + 18; h = r + 9; v = c + 20. If k = 5, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"k": "j + 5", "h": "k + 6", "f": "h + 8", "q": "f + 5", "p": "q + 12", "m": "p + 4", "w": "j + 18", "u": "w + 11", "e": "u + 3", "a": "e + 5", "i": "a + 19", "y": "i + 2", "j": 12}, "premises": {"j": 12}, "target": "m"}, "answer": {"steps": [["p", "q + 12", "q + 16"], ["q", "f + 5", "f + 21"], ["f", "h + 8", "h + 29"], ["h", "k + 6", "k + 35"], ["k", "j + 5", "j + 40"], ["j", 12, "52"]], "target_var_name": "m", "target_value": 52, "value_dict": {"j": 12}, "is_reverse": true}}
| 819
| 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 = j + 18; f = h + 8; j = 12; h = k + 6; p = q + 12; k = j + 5; q = f + 5; y = i + 2; a = e + 5; u = w + 11; i = a + 19; e = u + 3; m = p + 4. If j = 12, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 52,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = q + 12 to m, which gives m = q + 16.\n2. Substitute q = f + 5 to m, which gives m = f + 21.\n3. Substitute f = h + 8 to m, which gives m = h + 29.\n4. Substitute h = k + 6 to m, which gives m = k + 35.\n5. Substitute k = j + 5 to m, which gives m = j + 40.\n6. Substitute j = 12 to m, which gives m = 52.\n\nThus, the final answer is m = \\boxed{52}.",
"index": 819,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = j + 18; f = h + 8; j = 12; h = k + 6; p = q + 12; k = j + 5; q = f + 5; y = i + 2; a = e + 5; u = w + 11; i = a + 19; e = u + 3; m = p + 4. If j = 12, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"r": "m + 6", "f": "r + 17", "g": "f + 6", "x": "g + 2", "z": "x + 12", "k": "z + 19", "q": "m + 7", "o": "q + 1", "l": "o + 16", "y": "l + 4", "s": "y + 17", "v": "s + 19", "m": 8}, "premises": {"m": 8}, "target": "k"}, "answer": {"steps": [["z", "x + 12", "x + 31"], ["x", "g + 2", "g + 33"], ["g", "f + 6", "f + 39"], ["f", "r + 17", "r + 56"], ["r", "m + 6", "m + 62"], ["m", 8, "70"]], "target_var_name": "k", "target_value": 70, "value_dict": {"m": 8}, "is_reverse": true}}
| 820
| 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 = m + 7; l = o + 16; m = 8; x = g + 2; r = m + 6; y = l + 4; v = s + 19; o = q + 1; k = z + 19; f = r + 17; s = y + 17; z = x + 12; g = f + 6. If m = 8, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = x + 12 to k, which gives k = x + 31.\n2. Substitute x = g + 2 to k, which gives k = g + 33.\n3. Substitute g = f + 6 to k, which gives k = f + 39.\n4. Substitute f = r + 17 to k, which gives k = r + 56.\n5. Substitute r = m + 6 to k, which gives k = m + 62.\n6. Substitute m = 8 to k, which gives k = 70.\n\nThus, the final answer is k = \\boxed{70}.",
"index": 820,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = m + 7; l = o + 16; m = 8; x = g + 2; r = m + 6; y = l + 4; v = s + 19; o = q + 1; k = z + 19; f = r + 17; s = y + 17; z = x + 12; g = f + 6. If m = 8, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"c": "a + 1", "p": "c + 3", "o": "p + 3", "r": "o + 17", "k": "r + 3", "j": "k + 1", "d": "a + 11", "l": "d + 10", "z": "l + 7", "m": "z + 3", "y": "m + 4", "e": "y + 5", "a": 2}, "premises": {"a": 2}, "target": "j"}, "answer": {"steps": [["k", "r + 3", "r + 4"], ["r", "o + 17", "o + 21"], ["o", "p + 3", "p + 24"], ["p", "c + 3", "c + 27"], ["c", "a + 1", "a + 28"], ["a", 2, "30"]], "target_var_name": "j", "target_value": 30, "value_dict": {"a": 2}, "is_reverse": true}}
| 821
| 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 = r + 3; d = a + 11; j = k + 1; e = y + 5; r = o + 17; y = m + 4; l = d + 10; a = 2; o = p + 3; z = l + 7; m = z + 3; p = c + 3; c = a + 1. If a = 2, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 30,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = r + 3 to j, which gives j = r + 4.\n2. Substitute r = o + 17 to j, which gives j = o + 21.\n3. Substitute o = p + 3 to j, which gives j = p + 24.\n4. Substitute p = c + 3 to j, which gives j = c + 27.\n5. Substitute c = a + 1 to j, which gives j = a + 28.\n6. Substitute a = 2 to j, which gives j = 30.\n\nThus, the final answer is j = \\boxed{30}.",
"index": 821,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = r + 3; d = a + 11; j = k + 1; e = y + 5; r = o + 17; y = m + 4; l = d + 10; a = 2; o = p + 3; z = l + 7; m = z + 3; p = c + 3; c = a + 1. If a = 2, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"m": "i + 4", "n": "m + 5", "d": "n + 4", "p": "d + 3", "r": "p + 7", "q": "r + 6", "o": "i + 16", "x": "o + 14", "w": "x + 13", "z": "w + 11", "g": "z + 14", "a": "g + 8", "i": 18}, "premises": {"i": 18}, "target": "q"}, "answer": {"steps": [["r", "p + 7", "p + 13"], ["p", "d + 3", "d + 16"], ["d", "n + 4", "n + 20"], ["n", "m + 5", "m + 25"], ["m", "i + 4", "i + 29"], ["i", 18, "47"]], "target_var_name": "q", "target_value": 47, "value_dict": {"i": 18}, "is_reverse": true}}
| 822
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = w + 11; i = 18; r = p + 7; d = n + 4; g = z + 14; o = i + 16; w = x + 13; m = i + 4; a = g + 8; n = m + 5; q = r + 6; x = o + 14; p = d + 3. If i = 18, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 47,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = p + 7 to q, which gives q = p + 13.\n2. Substitute p = d + 3 to q, which gives q = d + 16.\n3. Substitute d = n + 4 to q, which gives q = n + 20.\n4. Substitute n = m + 5 to q, which gives q = m + 25.\n5. Substitute m = i + 4 to q, which gives q = i + 29.\n6. Substitute i = 18 to q, which gives q = 47.\n\nThus, the final answer is q = \\boxed{47}.",
"index": 822,
"question": "Consider a system of variables where each variable is defined as follows: z = w + 11; i = 18; r = p + 7; d = n + 4; g = z + 14; o = i + 16; w = x + 13; m = i + 4; a = g + 8; n = m + 5; q = r + 6; x = o + 14; p = d + 3. If i = 18, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"s": "h + 17", "n": "s + 12", "i": "n + 17", "d": "i + 10", "o": "d + 17", "f": "o + 11", "t": "h + 9", "c": "t + 11", "m": "c + 5", "p": "m + 12", "x": "p + 4", "u": "x + 3", "h": 9}, "premises": {"h": 9}, "target": "f"}, "answer": {"steps": [["o", "d + 17", "d + 28"], ["d", "i + 10", "i + 38"], ["i", "n + 17", "n + 55"], ["n", "s + 12", "s + 67"], ["s", "h + 17", "h + 84"], ["h", 9, "93"]], "target_var_name": "f", "target_value": 93, "value_dict": {"h": 9}, "is_reverse": true}}
| 823
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = h + 9; n = s + 12; m = c + 5; h = 9; o = d + 17; x = p + 4; f = o + 11; u = x + 3; d = i + 10; c = t + 11; s = h + 17; p = m + 12; i = n + 17. If h = 9, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = d + 17 to f, which gives f = d + 28.\n2. Substitute d = i + 10 to f, which gives f = i + 38.\n3. Substitute i = n + 17 to f, which gives f = n + 55.\n4. Substitute n = s + 12 to f, which gives f = s + 67.\n5. Substitute s = h + 17 to f, which gives f = h + 84.\n6. Substitute h = 9 to f, which gives f = 93.\n\nThus, the final answer is f = \\boxed{93}.",
"index": 823,
"question": "Consider a system of variables where each variable is defined as follows: t = h + 9; n = s + 12; m = c + 5; h = 9; o = d + 17; x = p + 4; f = o + 11; u = x + 3; d = i + 10; c = t + 11; s = h + 17; p = m + 12; i = n + 17. If h = 9, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"e": "o + 5", "g": "e + 20", "h": "g + 17", "p": "h + 3", "c": "p + 18", "t": "c + 12", "k": "o + 11", "f": "k + 8", "q": "f + 10", "d": "q + 15", "j": "d + 16", "y": "j + 1", "o": 20}, "premises": {"o": 20}, "target": "t"}, "answer": {"steps": [["c", "p + 18", "p + 30"], ["p", "h + 3", "h + 33"], ["h", "g + 17", "g + 50"], ["g", "e + 20", "e + 70"], ["e", "o + 5", "o + 75"], ["o", 20, "95"]], "target_var_name": "t", "target_value": 95, "value_dict": {"o": 20}, "is_reverse": true}}
| 824
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = o + 5; q = f + 10; h = g + 17; k = o + 11; o = 20; d = q + 15; y = j + 1; f = k + 8; g = e + 20; t = c + 12; p = h + 3; c = p + 18; j = d + 16. If o = 20, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = p + 18 to t, which gives t = p + 30.\n2. Substitute p = h + 3 to t, which gives t = h + 33.\n3. Substitute h = g + 17 to t, which gives t = g + 50.\n4. Substitute g = e + 20 to t, which gives t = e + 70.\n5. Substitute e = o + 5 to t, which gives t = o + 75.\n6. Substitute o = 20 to t, which gives t = 95.\n\nThus, the final answer is t = \\boxed{95}.",
"index": 824,
"question": "Consider a system of variables where each variable is defined as follows: e = o + 5; q = f + 10; h = g + 17; k = o + 11; o = 20; d = q + 15; y = j + 1; f = k + 8; g = e + 20; t = c + 12; p = h + 3; c = p + 18; j = d + 16. If o = 20, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"n": "t + 19", "e": "n + 3", "j": "e + 10", "d": "j + 6", "r": "d + 15", "m": "r + 6", "f": "t + 4", "k": "f + 17", "w": "k + 13", "z": "w + 13", "a": "z + 14", "x": "a + 9", "t": 7}, "premises": {"t": 7}, "target": "m"}, "answer": {"steps": [["r", "d + 15", "d + 21"], ["d", "j + 6", "j + 27"], ["j", "e + 10", "e + 37"], ["e", "n + 3", "n + 40"], ["n", "t + 19", "t + 59"], ["t", 7, "66"]], "target_var_name": "m", "target_value": 66, "value_dict": {"t": 7}, "is_reverse": true}}
| 825
| 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 = 7; x = a + 9; j = e + 10; m = r + 6; d = j + 6; z = w + 13; e = n + 3; n = t + 19; k = f + 17; w = k + 13; a = z + 14; r = d + 15; f = t + 4. If t = 7, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = d + 15 to m, which gives m = d + 21.\n2. Substitute d = j + 6 to m, which gives m = j + 27.\n3. Substitute j = e + 10 to m, which gives m = e + 37.\n4. Substitute e = n + 3 to m, which gives m = n + 40.\n5. Substitute n = t + 19 to m, which gives m = t + 59.\n6. Substitute t = 7 to m, which gives m = 66.\n\nThus, the final answer is m = \\boxed{66}.",
"index": 825,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = 7; x = a + 9; j = e + 10; m = r + 6; d = j + 6; z = w + 13; e = n + 3; n = t + 19; k = f + 17; w = k + 13; a = z + 14; r = d + 15; f = t + 4. If t = 7, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"z": "s + 3", "a": "z + 18", "l": "a + 6", "d": "l + 15", "v": "d + 8", "i": "v + 9", "j": "s + 9", "b": "j + 2", "r": "b + 15", "h": "r + 9", "m": "h + 12", "x": "m + 2", "s": 14}, "premises": {"s": 14}, "target": "i"}, "answer": {"steps": [["v", "d + 8", "d + 17"], ["d", "l + 15", "l + 32"], ["l", "a + 6", "a + 38"], ["a", "z + 18", "z + 56"], ["z", "s + 3", "s + 59"], ["s", 14, "73"]], "target_var_name": "i", "target_value": 73, "value_dict": {"s": 14}, "is_reverse": true}}
| 826
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = j + 2; j = s + 9; x = m + 2; l = a + 6; a = z + 18; r = b + 15; h = r + 9; s = 14; i = v + 9; m = h + 12; z = s + 3; v = d + 8; d = l + 15. Given that s = 14, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = d + 8 to i, which gives i = d + 17.\n2. Substitute d = l + 15 to i, which gives i = l + 32.\n3. Substitute l = a + 6 to i, which gives i = a + 38.\n4. Substitute a = z + 18 to i, which gives i = z + 56.\n5. Substitute z = s + 3 to i, which gives i = s + 59.\n6. Substitute s = 14 to i, which gives i = 73.\n\nThus, the final answer is i = \\boxed{73}.",
"index": 826,
"question": "Suppose a collection of variables is related by the following definitions: b = j + 2; j = s + 9; x = m + 2; l = a + 6; a = z + 18; r = b + 15; h = r + 9; s = 14; i = v + 9; m = h + 12; z = s + 3; v = d + 8; d = l + 15. Given that s = 14, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"h": "t + 11", "c": "h + 2", "v": "c + 3", "m": "v + 3", "u": "m + 19", "g": "u + 14", "f": "t + 19", "n": "f + 13", "r": "n + 20", "w": "r + 15", "q": "w + 15", "i": "q + 12", "t": 19}, "premises": {"t": 19}, "target": "g"}, "answer": {"steps": [["u", "m + 19", "m + 33"], ["m", "v + 3", "v + 36"], ["v", "c + 3", "c + 39"], ["c", "h + 2", "h + 41"], ["h", "t + 11", "t + 52"], ["t", 19, "71"]], "target_var_name": "g", "target_value": 71, "value_dict": {"t": 19}, "is_reverse": true}}
| 827
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = c + 3; f = t + 19; t = 19; i = q + 12; n = f + 13; q = w + 15; c = h + 2; m = v + 3; h = t + 11; u = m + 19; r = n + 20; g = u + 14; w = r + 15. If t = 19, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = m + 19 to g, which gives g = m + 33.\n2. Substitute m = v + 3 to g, which gives g = v + 36.\n3. Substitute v = c + 3 to g, which gives g = c + 39.\n4. Substitute c = h + 2 to g, which gives g = h + 41.\n5. Substitute h = t + 11 to g, which gives g = t + 52.\n6. Substitute t = 19 to g, which gives g = 71.\n\nThus, the final answer is g = \\boxed{71}.",
"index": 827,
"question": "Consider a system of variables where each variable is defined as follows: v = c + 3; f = t + 19; t = 19; i = q + 12; n = f + 13; q = w + 15; c = h + 2; m = v + 3; h = t + 11; u = m + 19; r = n + 20; g = u + 14; w = r + 15. If t = 19, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"m": "g + 7", "d": "m + 20", "c": "d + 15", "r": "c + 17", "l": "r + 6", "v": "l + 3", "f": "g + 16", "e": "f + 3", "s": "e + 16", "t": "s + 14", "k": "t + 6", "n": "k + 15", "g": 8}, "premises": {"g": 8}, "target": "v"}, "answer": {"steps": [["l", "r + 6", "r + 9"], ["r", "c + 17", "c + 26"], ["c", "d + 15", "d + 41"], ["d", "m + 20", "m + 61"], ["m", "g + 7", "g + 68"], ["g", 8, "76"]], "target_var_name": "v", "target_value": 76, "value_dict": {"g": 8}, "is_reverse": true}}
| 828
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = t + 6; e = f + 3; s = e + 16; n = k + 15; g = 8; l = r + 6; f = g + 16; v = l + 3; d = m + 20; r = c + 17; c = d + 15; m = g + 7; t = s + 14. Given that g = 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 l = r + 6 to v, which gives v = r + 9.\n2. Substitute r = c + 17 to v, which gives v = c + 26.\n3. Substitute c = d + 15 to v, which gives v = d + 41.\n4. Substitute d = m + 20 to v, which gives v = m + 61.\n5. Substitute m = g + 7 to v, which gives v = g + 68.\n6. Substitute g = 8 to v, which gives v = 76.\n\nThus, the final answer is v = \\boxed{76}.",
"index": 828,
"question": "Suppose a collection of variables is related by the following definitions: k = t + 6; e = f + 3; s = e + 16; n = k + 15; g = 8; l = r + 6; f = g + 16; v = l + 3; d = m + 20; r = c + 17; c = d + 15; m = g + 7; t = s + 14. Given that g = 8, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"e": "n + 1", "y": "e + 14", "l": "y + 9", "r": "l + 20", "x": "r + 3", "z": "x + 18", "u": "n + 6", "a": "u + 14", "w": "a + 1", "j": "w + 1", "i": "j + 17", "p": "i + 5", "n": 8}, "premises": {"n": 8}, "target": "z"}, "answer": {"steps": [["x", "r + 3", "r + 21"], ["r", "l + 20", "l + 41"], ["l", "y + 9", "y + 50"], ["y", "e + 14", "e + 64"], ["e", "n + 1", "n + 65"], ["n", 8, "73"]], "target_var_name": "z", "target_value": 73, "value_dict": {"n": 8}, "is_reverse": true}}
| 829
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = l + 20; l = y + 9; y = e + 14; u = n + 6; e = n + 1; z = x + 18; w = a + 1; p = i + 5; a = u + 14; n = 8; j = w + 1; x = r + 3; i = j + 17. If n = 8, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = r + 3 to z, which gives z = r + 21.\n2. Substitute r = l + 20 to z, which gives z = l + 41.\n3. Substitute l = y + 9 to z, which gives z = y + 50.\n4. Substitute y = e + 14 to z, which gives z = e + 64.\n5. Substitute e = n + 1 to z, which gives z = n + 65.\n6. Substitute n = 8 to z, which gives z = 73.\n\nThus, the final answer is z = \\boxed{73}.",
"index": 829,
"question": "Consider a system of variables where each variable is defined as follows: r = l + 20; l = y + 9; y = e + 14; u = n + 6; e = n + 1; z = x + 18; w = a + 1; p = i + 5; a = u + 14; n = 8; j = w + 1; x = r + 3; i = j + 17. If n = 8, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"v": "w + 17", "y": "v + 8", "k": "y + 19", "f": "k + 4", "x": "f + 10", "b": "x + 1", "t": "w + 7", "c": "t + 1", "i": "c + 18", "n": "i + 15", "d": "n + 20", "l": "d + 17", "w": 9}, "premises": {"w": 9}, "target": "b"}, "answer": {"steps": [["x", "f + 10", "f + 11"], ["f", "k + 4", "k + 15"], ["k", "y + 19", "y + 34"], ["y", "v + 8", "v + 42"], ["v", "w + 17", "w + 59"], ["w", 9, "68"]], "target_var_name": "b", "target_value": 68, "value_dict": {"w": 9}, "is_reverse": true}}
| 830
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = t + 1; w = 9; f = k + 4; b = x + 1; x = f + 10; v = w + 17; d = n + 20; i = c + 18; k = y + 19; y = v + 8; n = i + 15; l = d + 17; t = w + 7. Given that w = 9, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = f + 10 to b, which gives b = f + 11.\n2. Substitute f = k + 4 to b, which gives b = k + 15.\n3. Substitute k = y + 19 to b, which gives b = y + 34.\n4. Substitute y = v + 8 to b, which gives b = v + 42.\n5. Substitute v = w + 17 to b, which gives b = w + 59.\n6. Substitute w = 9 to b, which gives b = 68.\n\nThus, the final answer is b = \\boxed{68}.",
"index": 830,
"question": "Suppose a collection of variables is related by the following definitions: c = t + 1; w = 9; f = k + 4; b = x + 1; x = f + 10; v = w + 17; d = n + 20; i = c + 18; k = y + 19; y = v + 8; n = i + 15; l = d + 17; t = w + 7. Given that w = 9, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"c": "j + 1", "h": "c + 8", "m": "h + 2", "v": "m + 20", "t": "v + 8", "b": "t + 6", "x": "j + 4", "u": "x + 8", "y": "u + 6", "s": "y + 12", "k": "s + 16", "n": "k + 1", "j": 13}, "premises": {"j": 13}, "target": "b"}, "answer": {"steps": [["t", "v + 8", "v + 14"], ["v", "m + 20", "m + 34"], ["m", "h + 2", "h + 36"], ["h", "c + 8", "c + 44"], ["c", "j + 1", "j + 45"], ["j", 13, "58"]], "target_var_name": "b", "target_value": 58, "value_dict": {"j": 13}, "is_reverse": true}}
| 831
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = c + 8; b = t + 6; m = h + 2; v = m + 20; x = j + 4; y = u + 6; c = j + 1; k = s + 16; j = 13; n = k + 1; s = y + 12; u = x + 8; t = v + 8. If j = 13, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = v + 8 to b, which gives b = v + 14.\n2. Substitute v = m + 20 to b, which gives b = m + 34.\n3. Substitute m = h + 2 to b, which gives b = h + 36.\n4. Substitute h = c + 8 to b, which gives b = c + 44.\n5. Substitute c = j + 1 to b, which gives b = j + 45.\n6. Substitute j = 13 to b, which gives b = 58.\n\nThus, the final answer is b = \\boxed{58}.",
"index": 831,
"question": "Consider a system of variables where each variable is defined as follows: h = c + 8; b = t + 6; m = h + 2; v = m + 20; x = j + 4; y = u + 6; c = j + 1; k = s + 16; j = 13; n = k + 1; s = y + 12; u = x + 8; t = v + 8. If j = 13, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"a": "y + 18", "f": "a + 15", "w": "f + 9", "n": "w + 15", "m": "n + 7", "c": "m + 9", "k": "y + 12", "j": "k + 13", "b": "j + 16", "d": "b + 10", "q": "d + 15", "l": "q + 18", "y": 6}, "premises": {"y": 6}, "target": "c"}, "answer": {"steps": [["m", "n + 7", "n + 16"], ["n", "w + 15", "w + 31"], ["w", "f + 9", "f + 40"], ["f", "a + 15", "a + 55"], ["a", "y + 18", "y + 73"], ["y", 6, "79"]], "target_var_name": "c", "target_value": 79, "value_dict": {"y": 6}, "is_reverse": true}}
| 832
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = y + 12; l = q + 18; q = d + 15; w = f + 9; n = w + 15; c = m + 9; b = j + 16; j = k + 13; f = a + 15; d = b + 10; a = y + 18; y = 6; m = n + 7. If y = 6, determine 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 m = n + 7 to c, which gives c = n + 16.\n2. Substitute n = w + 15 to c, which gives c = w + 31.\n3. Substitute w = f + 9 to c, which gives c = f + 40.\n4. Substitute f = a + 15 to c, which gives c = a + 55.\n5. Substitute a = y + 18 to c, which gives c = y + 73.\n6. Substitute y = 6 to c, which gives c = 79.\n\nThus, the final answer is c = \\boxed{79}.",
"index": 832,
"question": "Consider a system of variables where each variable is defined as follows: k = y + 12; l = q + 18; q = d + 15; w = f + 9; n = w + 15; c = m + 9; b = j + 16; j = k + 13; f = a + 15; d = b + 10; a = y + 18; y = 6; m = n + 7. If y = 6, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"s": "k + 14", "r": "s + 11", "l": "r + 15", "m": "l + 14", "u": "m + 13", "q": "u + 3", "a": "k + 1", "c": "a + 16", "e": "c + 14", "j": "e + 19", "p": "j + 5", "o": "p + 5", "k": 18}, "premises": {"k": 18}, "target": "q"}, "answer": {"steps": [["u", "m + 13", "m + 16"], ["m", "l + 14", "l + 30"], ["l", "r + 15", "r + 45"], ["r", "s + 11", "s + 56"], ["s", "k + 14", "k + 70"], ["k", 18, "88"]], "target_var_name": "q", "target_value": 88, "value_dict": {"k": 18}, "is_reverse": true}}
| 833
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = a + 16; s = k + 14; a = k + 1; k = 18; e = c + 14; u = m + 13; m = l + 14; q = u + 3; p = j + 5; r = s + 11; l = r + 15; j = e + 19; o = p + 5. If k = 18, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = m + 13 to q, which gives q = m + 16.\n2. Substitute m = l + 14 to q, which gives q = l + 30.\n3. Substitute l = r + 15 to q, which gives q = r + 45.\n4. Substitute r = s + 11 to q, which gives q = s + 56.\n5. Substitute s = k + 14 to q, which gives q = k + 70.\n6. Substitute k = 18 to q, which gives q = 88.\n\nThus, the final answer is q = \\boxed{88}.",
"index": 833,
"question": "Consider a system of variables where each variable is defined as follows: c = a + 16; s = k + 14; a = k + 1; k = 18; e = c + 14; u = m + 13; m = l + 14; q = u + 3; p = j + 5; r = s + 11; l = r + 15; j = e + 19; o = p + 5. If k = 18, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"h": "v + 7", "g": "h + 5", "p": "g + 2", "r": "p + 7", "y": "r + 10", "d": "y + 1", "t": "v + 8", "s": "t + 1", "f": "s + 1", "j": "f + 14", "a": "j + 17", "l": "a + 7", "v": 6}, "premises": {"v": 6}, "target": "d"}, "answer": {"steps": [["y", "r + 10", "r + 11"], ["r", "p + 7", "p + 18"], ["p", "g + 2", "g + 20"], ["g", "h + 5", "h + 25"], ["h", "v + 7", "v + 32"], ["v", 6, "38"]], "target_var_name": "d", "target_value": 38, "value_dict": {"v": 6}, "is_reverse": true}}
| 834
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = t + 1; j = f + 14; a = j + 17; t = v + 8; y = r + 10; f = s + 1; r = p + 7; g = h + 5; p = g + 2; v = 6; d = y + 1; l = a + 7; h = v + 7. Given that v = 6, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 38,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = r + 10 to d, which gives d = r + 11.\n2. Substitute r = p + 7 to d, which gives d = p + 18.\n3. Substitute p = g + 2 to d, which gives d = g + 20.\n4. Substitute g = h + 5 to d, which gives d = h + 25.\n5. Substitute h = v + 7 to d, which gives d = v + 32.\n6. Substitute v = 6 to d, which gives d = 38.\n\nThus, the final answer is d = \\boxed{38}.",
"index": 834,
"question": "Suppose a collection of variables is related by the following definitions: s = t + 1; j = f + 14; a = j + 17; t = v + 8; y = r + 10; f = s + 1; r = p + 7; g = h + 5; p = g + 2; v = 6; d = y + 1; l = a + 7; h = v + 7. Given that v = 6, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"a": "j + 1", "y": "a + 10", "w": "y + 8", "b": "w + 2", "m": "b + 17", "n": "m + 12", "s": "j + 2", "g": "s + 11", "z": "g + 3", "e": "z + 18", "k": "e + 5", "h": "k + 6", "j": 13}, "premises": {"j": 13}, "target": "n"}, "answer": {"steps": [["m", "b + 17", "b + 29"], ["b", "w + 2", "w + 31"], ["w", "y + 8", "y + 39"], ["y", "a + 10", "a + 49"], ["a", "j + 1", "j + 50"], ["j", 13, "63"]], "target_var_name": "n", "target_value": 63, "value_dict": {"j": 13}, "is_reverse": true}}
| 835
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = w + 2; a = j + 1; g = s + 11; h = k + 6; w = y + 8; y = a + 10; s = j + 2; j = 13; n = m + 12; e = z + 18; z = g + 3; m = b + 17; k = e + 5. If j = 13, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = b + 17 to n, which gives n = b + 29.\n2. Substitute b = w + 2 to n, which gives n = w + 31.\n3. Substitute w = y + 8 to n, which gives n = y + 39.\n4. Substitute y = a + 10 to n, which gives n = a + 49.\n5. Substitute a = j + 1 to n, which gives n = j + 50.\n6. Substitute j = 13 to n, which gives n = 63.\n\nThus, the final answer is n = \\boxed{63}.",
"index": 835,
"question": "Consider a system of variables where each variable is defined as follows: b = w + 2; a = j + 1; g = s + 11; h = k + 6; w = y + 8; y = a + 10; s = j + 2; j = 13; n = m + 12; e = z + 18; z = g + 3; m = b + 17; k = e + 5. If j = 13, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"h": "x + 3", "c": "h + 19", "u": "c + 6", "q": "u + 6", "k": "q + 9", "b": "k + 3", "r": "x + 13", "t": "r + 11", "l": "t + 14", "n": "l + 19", "i": "n + 5", "v": "i + 5", "x": 18}, "premises": {"x": 18}, "target": "b"}, "answer": {"steps": [["k", "q + 9", "q + 12"], ["q", "u + 6", "u + 18"], ["u", "c + 6", "c + 24"], ["c", "h + 19", "h + 43"], ["h", "x + 3", "x + 46"], ["x", 18, "64"]], "target_var_name": "b", "target_value": 64, "value_dict": {"x": 18}, "is_reverse": true}}
| 836
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = r + 11; b = k + 3; c = h + 19; n = l + 19; u = c + 6; x = 18; k = q + 9; h = x + 3; i = n + 5; v = i + 5; r = x + 13; q = u + 6; l = t + 14. Given that x = 18, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = q + 9 to b, which gives b = q + 12.\n2. Substitute q = u + 6 to b, which gives b = u + 18.\n3. Substitute u = c + 6 to b, which gives b = c + 24.\n4. Substitute c = h + 19 to b, which gives b = h + 43.\n5. Substitute h = x + 3 to b, which gives b = x + 46.\n6. Substitute x = 18 to b, which gives b = 64.\n\nThus, the final answer is b = \\boxed{64}.",
"index": 836,
"question": "Suppose a collection of variables is related by the following definitions: t = r + 11; b = k + 3; c = h + 19; n = l + 19; u = c + 6; x = 18; k = q + 9; h = x + 3; i = n + 5; v = i + 5; r = x + 13; q = u + 6; l = t + 14. Given that x = 18, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"q": "v + 14", "s": "q + 9", "d": "s + 4", "b": "d + 13", "n": "b + 5", "h": "n + 13", "m": "v + 17", "g": "m + 15", "u": "g + 20", "p": "u + 13", "a": "p + 9", "z": "a + 4", "v": 20}, "premises": {"v": 20}, "target": "h"}, "answer": {"steps": [["n", "b + 5", "b + 18"], ["b", "d + 13", "d + 31"], ["d", "s + 4", "s + 35"], ["s", "q + 9", "q + 44"], ["q", "v + 14", "v + 58"], ["v", 20, "78"]], "target_var_name": "h", "target_value": 78, "value_dict": {"v": 20}, "is_reverse": true}}
| 837
| 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 = v + 14; a = p + 9; h = n + 13; v = 20; b = d + 13; s = q + 9; d = s + 4; m = v + 17; u = g + 20; z = a + 4; g = m + 15; p = u + 13; n = b + 5. If v = 20, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = b + 5 to h, which gives h = b + 18.\n2. Substitute b = d + 13 to h, which gives h = d + 31.\n3. Substitute d = s + 4 to h, which gives h = s + 35.\n4. Substitute s = q + 9 to h, which gives h = q + 44.\n5. Substitute q = v + 14 to h, which gives h = v + 58.\n6. Substitute v = 20 to h, which gives h = 78.\n\nThus, the final answer is h = \\boxed{78}.",
"index": 837,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = v + 14; a = p + 9; h = n + 13; v = 20; b = d + 13; s = q + 9; d = s + 4; m = v + 17; u = g + 20; z = a + 4; g = m + 15; p = u + 13; n = b + 5. If v = 20, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"g": "q + 19", "k": "g + 12", "n": "k + 15", "z": "n + 3", "d": "z + 20", "x": "d + 15", "r": "q + 5", "b": "r + 13", "u": "b + 16", "m": "u + 10", "p": "m + 5", "i": "p + 5", "q": 3}, "premises": {"q": 3}, "target": "x"}, "answer": {"steps": [["d", "z + 20", "z + 35"], ["z", "n + 3", "n + 38"], ["n", "k + 15", "k + 53"], ["k", "g + 12", "g + 65"], ["g", "q + 19", "q + 84"], ["q", 3, "87"]], "target_var_name": "x", "target_value": 87, "value_dict": {"q": 3}, "is_reverse": true}}
| 838
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = d + 15; q = 3; p = m + 5; m = u + 10; k = g + 12; n = k + 15; d = z + 20; i = p + 5; g = q + 19; b = r + 13; r = q + 5; u = b + 16; z = n + 3. If q = 3, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = z + 20 to x, which gives x = z + 35.\n2. Substitute z = n + 3 to x, which gives x = n + 38.\n3. Substitute n = k + 15 to x, which gives x = k + 53.\n4. Substitute k = g + 12 to x, which gives x = g + 65.\n5. Substitute g = q + 19 to x, which gives x = q + 84.\n6. Substitute q = 3 to x, which gives x = 87.\n\nThus, the final answer is x = \\boxed{87}.",
"index": 838,
"question": "Consider a system of variables where each variable is defined as follows: x = d + 15; q = 3; p = m + 5; m = u + 10; k = g + 12; n = k + 15; d = z + 20; i = p + 5; g = q + 19; b = r + 13; r = q + 5; u = b + 16; z = n + 3. If q = 3, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"t": "f + 14", "n": "t + 1", "k": "n + 17", "h": "k + 20", "l": "h + 7", "s": "l + 14", "u": "f + 13", "p": "u + 6", "o": "p + 20", "c": "o + 6", "b": "c + 20", "r": "b + 14", "f": 13}, "premises": {"f": 13}, "target": "s"}, "answer": {"steps": [["l", "h + 7", "h + 21"], ["h", "k + 20", "k + 41"], ["k", "n + 17", "n + 58"], ["n", "t + 1", "t + 59"], ["t", "f + 14", "f + 73"], ["f", 13, "86"]], "target_var_name": "s", "target_value": 86, "value_dict": {"f": 13}, "is_reverse": true}}
| 839
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = b + 14; c = o + 6; l = h + 7; p = u + 6; h = k + 20; n = t + 1; s = l + 14; u = f + 13; o = p + 20; t = f + 14; f = 13; k = n + 17; b = c + 20. If f = 13, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = h + 7 to s, which gives s = h + 21.\n2. Substitute h = k + 20 to s, which gives s = k + 41.\n3. Substitute k = n + 17 to s, which gives s = n + 58.\n4. Substitute n = t + 1 to s, which gives s = t + 59.\n5. Substitute t = f + 14 to s, which gives s = f + 73.\n6. Substitute f = 13 to s, which gives s = 86.\n\nThus, the final answer is s = \\boxed{86}.",
"index": 839,
"question": "Consider a system of variables where each variable is defined as follows: r = b + 14; c = o + 6; l = h + 7; p = u + 6; h = k + 20; n = t + 1; s = l + 14; u = f + 13; o = p + 20; t = f + 14; f = 13; k = n + 17; b = c + 20. If f = 13, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"n": "v + 4", "m": "n + 11", "z": "m + 8", "g": "z + 15", "f": "g + 8", "q": "f + 18", "c": "v + 9", "l": "c + 2", "u": "l + 17", "r": "u + 20", "o": "r + 9", "p": "o + 15", "v": 9}, "premises": {"v": 9}, "target": "q"}, "answer": {"steps": [["f", "g + 8", "g + 26"], ["g", "z + 15", "z + 41"], ["z", "m + 8", "m + 49"], ["m", "n + 11", "n + 60"], ["n", "v + 4", "v + 64"], ["v", 9, "73"]], "target_var_name": "q", "target_value": 73, "value_dict": {"v": 9}, "is_reverse": true}}
| 840
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = v + 9; o = r + 9; l = c + 2; g = z + 15; f = g + 8; m = n + 11; r = u + 20; p = o + 15; q = f + 18; u = l + 17; z = m + 8; v = 9; n = v + 4. If v = 9, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = g + 8 to q, which gives q = g + 26.\n2. Substitute g = z + 15 to q, which gives q = z + 41.\n3. Substitute z = m + 8 to q, which gives q = m + 49.\n4. Substitute m = n + 11 to q, which gives q = n + 60.\n5. Substitute n = v + 4 to q, which gives q = v + 64.\n6. Substitute v = 9 to q, which gives q = 73.\n\nThus, the final answer is q = \\boxed{73}.",
"index": 840,
"question": "Consider a system of variables where each variable is defined as follows: c = v + 9; o = r + 9; l = c + 2; g = z + 15; f = g + 8; m = n + 11; r = u + 20; p = o + 15; q = f + 18; u = l + 17; z = m + 8; v = 9; n = v + 4. If v = 9, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"f": "h + 1", "i": "f + 6", "e": "i + 18", "r": "e + 11", "c": "r + 17", "o": "c + 6", "l": "h + 20", "z": "l + 11", "q": "z + 15", "j": "q + 3", "b": "j + 1", "w": "b + 12", "h": 4}, "premises": {"h": 4}, "target": "o"}, "answer": {"steps": [["c", "r + 17", "r + 23"], ["r", "e + 11", "e + 34"], ["e", "i + 18", "i + 52"], ["i", "f + 6", "f + 58"], ["f", "h + 1", "h + 59"], ["h", 4, "63"]], "target_var_name": "o", "target_value": 63, "value_dict": {"h": 4}, "is_reverse": true}}
| 841
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = h + 1; j = q + 3; w = b + 12; z = l + 11; b = j + 1; l = h + 20; q = z + 15; h = 4; e = i + 18; o = c + 6; r = e + 11; c = r + 17; i = f + 6. Given that h = 4, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = r + 17 to o, which gives o = r + 23.\n2. Substitute r = e + 11 to o, which gives o = e + 34.\n3. Substitute e = i + 18 to o, which gives o = i + 52.\n4. Substitute i = f + 6 to o, which gives o = f + 58.\n5. Substitute f = h + 1 to o, which gives o = h + 59.\n6. Substitute h = 4 to o, which gives o = 63.\n\nThus, the final answer is o = \\boxed{63}.",
"index": 841,
"question": "Suppose a collection of variables is related by the following definitions: f = h + 1; j = q + 3; w = b + 12; z = l + 11; b = j + 1; l = h + 20; q = z + 15; h = 4; e = i + 18; o = c + 6; r = e + 11; c = r + 17; i = f + 6. Given that h = 4, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"z": "f + 10", "i": "z + 14", "a": "i + 20", "e": "a + 12", "r": "e + 14", "t": "r + 18", "k": "f + 12", "x": "k + 9", "v": "x + 19", "y": "v + 5", "s": "y + 6", "d": "s + 7", "f": 4}, "premises": {"f": 4}, "target": "t"}, "answer": {"steps": [["r", "e + 14", "e + 32"], ["e", "a + 12", "a + 44"], ["a", "i + 20", "i + 64"], ["i", "z + 14", "z + 78"], ["z", "f + 10", "f + 88"], ["f", 4, "92"]], "target_var_name": "t", "target_value": 92, "value_dict": {"f": 4}, "is_reverse": true}}
| 842
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = f + 10; r = e + 14; y = v + 5; x = k + 9; v = x + 19; t = r + 18; f = 4; i = z + 14; e = a + 12; a = i + 20; k = f + 12; s = y + 6; d = s + 7. If f = 4, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = e + 14 to t, which gives t = e + 32.\n2. Substitute e = a + 12 to t, which gives t = a + 44.\n3. Substitute a = i + 20 to t, which gives t = i + 64.\n4. Substitute i = z + 14 to t, which gives t = z + 78.\n5. Substitute z = f + 10 to t, which gives t = f + 88.\n6. Substitute f = 4 to t, which gives t = 92.\n\nThus, the final answer is t = \\boxed{92}.",
"index": 842,
"question": "Consider a system of variables where each variable is defined as follows: z = f + 10; r = e + 14; y = v + 5; x = k + 9; v = x + 19; t = r + 18; f = 4; i = z + 14; e = a + 12; a = i + 20; k = f + 12; s = y + 6; d = s + 7. If f = 4, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"c": "r + 6", "i": "c + 14", "j": "i + 1", "w": "j + 18", "y": "w + 10", "d": "y + 5", "k": "r + 16", "z": "k + 18", "l": "z + 14", "h": "l + 11", "o": "h + 4", "f": "o + 10", "r": 13}, "premises": {"r": 13}, "target": "d"}, "answer": {"steps": [["y", "w + 10", "w + 15"], ["w", "j + 18", "j + 33"], ["j", "i + 1", "i + 34"], ["i", "c + 14", "c + 48"], ["c", "r + 6", "r + 54"], ["r", 13, "67"]], "target_var_name": "d", "target_value": 67, "value_dict": {"r": 13}, "is_reverse": true}}
| 843
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = y + 5; w = j + 18; l = z + 14; r = 13; h = l + 11; j = i + 1; i = c + 14; c = r + 6; k = r + 16; o = h + 4; f = o + 10; z = k + 18; y = w + 10. Given that r = 13, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = w + 10 to d, which gives d = w + 15.\n2. Substitute w = j + 18 to d, which gives d = j + 33.\n3. Substitute j = i + 1 to d, which gives d = i + 34.\n4. Substitute i = c + 14 to d, which gives d = c + 48.\n5. Substitute c = r + 6 to d, which gives d = r + 54.\n6. Substitute r = 13 to d, which gives d = 67.\n\nThus, the final answer is d = \\boxed{67}.",
"index": 843,
"question": "Suppose a collection of variables is related by the following definitions: d = y + 5; w = j + 18; l = z + 14; r = 13; h = l + 11; j = i + 1; i = c + 14; c = r + 6; k = r + 16; o = h + 4; f = o + 10; z = k + 18; y = w + 10. Given that r = 13, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"v": "r + 3", "w": "v + 6", "h": "w + 5", "x": "h + 11", "e": "x + 1", "g": "e + 7", "d": "r + 1", "m": "d + 20", "a": "m + 13", "y": "a + 6", "t": "y + 3", "l": "t + 19", "r": 13}, "premises": {"r": 13}, "target": "g"}, "answer": {"steps": [["e", "x + 1", "x + 8"], ["x", "h + 11", "h + 19"], ["h", "w + 5", "w + 24"], ["w", "v + 6", "v + 30"], ["v", "r + 3", "r + 33"], ["r", 13, "46"]], "target_var_name": "g", "target_value": 46, "value_dict": {"r": 13}, "is_reverse": true}}
| 844
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = e + 7; v = r + 3; a = m + 13; w = v + 6; m = d + 20; h = w + 5; l = t + 19; e = x + 1; x = h + 11; r = 13; t = y + 3; y = a + 6; d = r + 1. Given that r = 13, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 46,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = x + 1 to g, which gives g = x + 8.\n2. Substitute x = h + 11 to g, which gives g = h + 19.\n3. Substitute h = w + 5 to g, which gives g = w + 24.\n4. Substitute w = v + 6 to g, which gives g = v + 30.\n5. Substitute v = r + 3 to g, which gives g = r + 33.\n6. Substitute r = 13 to g, which gives g = 46.\n\nThus, the final answer is g = \\boxed{46}.",
"index": 844,
"question": "Suppose a collection of variables is related by the following definitions: g = e + 7; v = r + 3; a = m + 13; w = v + 6; m = d + 20; h = w + 5; l = t + 19; e = x + 1; x = h + 11; r = 13; t = y + 3; y = a + 6; d = r + 1. Given that r = 13, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"s": "a + 3", "u": "s + 20", "m": "u + 18", "e": "m + 18", "y": "e + 2", "v": "y + 19", "g": "a + 19", "o": "g + 4", "x": "o + 15", "b": "x + 18", "z": "b + 16", "k": "z + 12", "a": 3}, "premises": {"a": 3}, "target": "v"}, "answer": {"steps": [["y", "e + 2", "e + 21"], ["e", "m + 18", "m + 39"], ["m", "u + 18", "u + 57"], ["u", "s + 20", "s + 77"], ["s", "a + 3", "a + 80"], ["a", 3, "83"]], "target_var_name": "v", "target_value": 83, "value_dict": {"a": 3}, "is_reverse": true}}
| 845
| 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 = y + 19; x = o + 15; e = m + 18; z = b + 16; m = u + 18; a = 3; o = g + 4; k = z + 12; g = a + 19; s = a + 3; y = e + 2; u = s + 20; b = x + 18. If a = 3, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = e + 2 to v, which gives v = e + 21.\n2. Substitute e = m + 18 to v, which gives v = m + 39.\n3. Substitute m = u + 18 to v, which gives v = u + 57.\n4. Substitute u = s + 20 to v, which gives v = s + 77.\n5. Substitute s = a + 3 to v, which gives v = a + 80.\n6. Substitute a = 3 to v, which gives v = 83.\n\nThus, the final answer is v = \\boxed{83}.",
"index": 845,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = y + 19; x = o + 15; e = m + 18; z = b + 16; m = u + 18; a = 3; o = g + 4; k = z + 12; g = a + 19; s = a + 3; y = e + 2; u = s + 20; b = x + 18. If a = 3, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"y": "s + 11", "u": "y + 20", "o": "u + 7", "r": "o + 19", "v": "r + 6", "i": "v + 6", "x": "s + 11", "e": "x + 20", "l": "e + 11", "t": "l + 11", "a": "t + 2", "c": "a + 10", "s": 5}, "premises": {"s": 5}, "target": "i"}, "answer": {"steps": [["v", "r + 6", "r + 12"], ["r", "o + 19", "o + 31"], ["o", "u + 7", "u + 38"], ["u", "y + 20", "y + 58"], ["y", "s + 11", "s + 69"], ["s", 5, "74"]], "target_var_name": "i", "target_value": 74, "value_dict": {"s": 5}, "is_reverse": true}}
| 846
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = t + 2; e = x + 20; c = a + 10; x = s + 11; t = l + 11; l = e + 11; u = y + 20; y = s + 11; o = u + 7; v = r + 6; i = v + 6; r = o + 19; s = 5. If s = 5, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = r + 6 to i, which gives i = r + 12.\n2. Substitute r = o + 19 to i, which gives i = o + 31.\n3. Substitute o = u + 7 to i, which gives i = u + 38.\n4. Substitute u = y + 20 to i, which gives i = y + 58.\n5. Substitute y = s + 11 to i, which gives i = s + 69.\n6. Substitute s = 5 to i, which gives i = 74.\n\nThus, the final answer is i = \\boxed{74}.",
"index": 846,
"question": "Consider a system of variables where each variable is defined as follows: a = t + 2; e = x + 20; c = a + 10; x = s + 11; t = l + 11; l = e + 11; u = y + 20; y = s + 11; o = u + 7; v = r + 6; i = v + 6; r = o + 19; s = 5. If s = 5, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"i": "j + 15", "x": "i + 19", "z": "x + 16", "k": "z + 18", "t": "k + 15", "a": "t + 9", "d": "j + 10", "r": "d + 11", "b": "r + 1", "f": "b + 11", "e": "f + 2", "v": "e + 16", "j": 14}, "premises": {"j": 14}, "target": "a"}, "answer": {"steps": [["t", "k + 15", "k + 24"], ["k", "z + 18", "z + 42"], ["z", "x + 16", "x + 58"], ["x", "i + 19", "i + 77"], ["i", "j + 15", "j + 92"], ["j", 14, "106"]], "target_var_name": "a", "target_value": 106, "value_dict": {"j": 14}, "is_reverse": true}}
| 847
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = e + 16; e = f + 2; k = z + 18; d = j + 10; a = t + 9; i = j + 15; t = k + 15; x = i + 19; j = 14; b = r + 1; z = x + 16; r = d + 11; f = b + 11. If j = 14, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 106,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = k + 15 to a, which gives a = k + 24.\n2. Substitute k = z + 18 to a, which gives a = z + 42.\n3. Substitute z = x + 16 to a, which gives a = x + 58.\n4. Substitute x = i + 19 to a, which gives a = i + 77.\n5. Substitute i = j + 15 to a, which gives a = j + 92.\n6. Substitute j = 14 to a, which gives a = 106.\n\nThus, the final answer is a = \\boxed{106}.",
"index": 847,
"question": "Consider a system of variables where each variable is defined as follows: v = e + 16; e = f + 2; k = z + 18; d = j + 10; a = t + 9; i = j + 15; t = k + 15; x = i + 19; j = 14; b = r + 1; z = x + 16; r = d + 11; f = b + 11. If j = 14, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"o": "m + 13", "k": "o + 12", "u": "k + 15", "a": "u + 2", "e": "a + 12", "w": "e + 6", "d": "m + 18", "i": "d + 20", "h": "i + 4", "b": "h + 17", "g": "b + 18", "p": "g + 17", "m": 12}, "premises": {"m": 12}, "target": "w"}, "answer": {"steps": [["e", "a + 12", "a + 18"], ["a", "u + 2", "u + 20"], ["u", "k + 15", "k + 35"], ["k", "o + 12", "o + 47"], ["o", "m + 13", "m + 60"], ["m", 12, "72"]], "target_var_name": "w", "target_value": 72, "value_dict": {"m": 12}, "is_reverse": true}}
| 848
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = b + 18; e = a + 12; b = h + 17; u = k + 15; o = m + 13; p = g + 17; h = i + 4; d = m + 18; k = o + 12; a = u + 2; w = e + 6; i = d + 20; m = 12. Given that m = 12, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = a + 12 to w, which gives w = a + 18.\n2. Substitute a = u + 2 to w, which gives w = u + 20.\n3. Substitute u = k + 15 to w, which gives w = k + 35.\n4. Substitute k = o + 12 to w, which gives w = o + 47.\n5. Substitute o = m + 13 to w, which gives w = m + 60.\n6. Substitute m = 12 to w, which gives w = 72.\n\nThus, the final answer is w = \\boxed{72}.",
"index": 848,
"question": "Suppose a collection of variables is related by the following definitions: g = b + 18; e = a + 12; b = h + 17; u = k + 15; o = m + 13; p = g + 17; h = i + 4; d = m + 18; k = o + 12; a = u + 2; w = e + 6; i = d + 20; m = 12. Given that m = 12, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"p": "w + 10", "h": "p + 9", "b": "h + 7", "r": "b + 14", "n": "r + 17", "q": "n + 4", "d": "w + 5", "g": "d + 15", "k": "g + 14", "m": "k + 6", "e": "m + 20", "u": "e + 10", "w": 15}, "premises": {"w": 15}, "target": "q"}, "answer": {"steps": [["n", "r + 17", "r + 21"], ["r", "b + 14", "b + 35"], ["b", "h + 7", "h + 42"], ["h", "p + 9", "p + 51"], ["p", "w + 10", "w + 61"], ["w", 15, "76"]], "target_var_name": "q", "target_value": 76, "value_dict": {"w": 15}, "is_reverse": true}}
| 849
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = w + 10; u = e + 10; g = d + 15; q = n + 4; m = k + 6; e = m + 20; w = 15; k = g + 14; n = r + 17; d = w + 5; r = b + 14; h = p + 9; b = h + 7. If w = 15, what is the resulting 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 n = r + 17 to q, which gives q = r + 21.\n2. Substitute r = b + 14 to q, which gives q = b + 35.\n3. Substitute b = h + 7 to q, which gives q = h + 42.\n4. Substitute h = p + 9 to q, which gives q = p + 51.\n5. Substitute p = w + 10 to q, which gives q = w + 61.\n6. Substitute w = 15 to q, which gives q = 76.\n\nThus, the final answer is q = \\boxed{76}.",
"index": 849,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = w + 10; u = e + 10; g = d + 15; q = n + 4; m = k + 6; e = m + 20; w = 15; k = g + 14; n = r + 17; d = w + 5; r = b + 14; h = p + 9; b = h + 7. If w = 15, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"r": "x + 5", "e": "r + 17", "b": "e + 11", "k": "b + 16", "t": "k + 12", "y": "t + 5", "p": "x + 10", "u": "p + 16", "g": "u + 1", "h": "g + 20", "s": "h + 9", "v": "s + 9", "x": 10}, "premises": {"x": 10}, "target": "y"}, "answer": {"steps": [["t", "k + 12", "k + 17"], ["k", "b + 16", "b + 33"], ["b", "e + 11", "e + 44"], ["e", "r + 17", "r + 61"], ["r", "x + 5", "x + 66"], ["x", 10, "76"]], "target_var_name": "y", "target_value": 76, "value_dict": {"x": 10}, "is_reverse": true}}
| 850
| 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 + 11; y = t + 5; r = x + 5; p = x + 10; t = k + 12; x = 10; e = r + 17; h = g + 20; u = p + 16; s = h + 9; g = u + 1; v = s + 9; k = b + 16. If x = 10, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = k + 12 to y, which gives y = k + 17.\n2. Substitute k = b + 16 to y, which gives y = b + 33.\n3. Substitute b = e + 11 to y, which gives y = e + 44.\n4. Substitute e = r + 17 to y, which gives y = r + 61.\n5. Substitute r = x + 5 to y, which gives y = x + 66.\n6. Substitute x = 10 to y, which gives y = 76.\n\nThus, the final answer is y = \\boxed{76}.",
"index": 850,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = e + 11; y = t + 5; r = x + 5; p = x + 10; t = k + 12; x = 10; e = r + 17; h = g + 20; u = p + 16; s = h + 9; g = u + 1; v = s + 9; k = b + 16. If x = 10, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"x": "r + 13", "i": "x + 5", "g": "i + 19", "p": "g + 10", "e": "p + 11", "h": "e + 9", "k": "r + 17", "f": "k + 11", "n": "f + 8", "u": "n + 20", "o": "u + 7", "a": "o + 18", "r": 8}, "premises": {"r": 8}, "target": "h"}, "answer": {"steps": [["e", "p + 11", "p + 20"], ["p", "g + 10", "g + 30"], ["g", "i + 19", "i + 49"], ["i", "x + 5", "x + 54"], ["x", "r + 13", "r + 67"], ["r", 8, "75"]], "target_var_name": "h", "target_value": 75, "value_dict": {"r": 8}, "is_reverse": true}}
| 851
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = e + 9; n = f + 8; u = n + 20; k = r + 17; e = p + 11; a = o + 18; o = u + 7; i = x + 5; x = r + 13; r = 8; g = i + 19; p = g + 10; f = k + 11. If r = 8, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = p + 11 to h, which gives h = p + 20.\n2. Substitute p = g + 10 to h, which gives h = g + 30.\n3. Substitute g = i + 19 to h, which gives h = i + 49.\n4. Substitute i = x + 5 to h, which gives h = x + 54.\n5. Substitute x = r + 13 to h, which gives h = r + 67.\n6. Substitute r = 8 to h, which gives h = 75.\n\nThus, the final answer is h = \\boxed{75}.",
"index": 851,
"question": "Consider a system of variables where each variable is defined as follows: h = e + 9; n = f + 8; u = n + 20; k = r + 17; e = p + 11; a = o + 18; o = u + 7; i = x + 5; x = r + 13; r = 8; g = i + 19; p = g + 10; f = k + 11. If r = 8, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"h": "z + 19", "f": "h + 4", "r": "f + 1", "n": "r + 16", "k": "n + 3", "i": "k + 2", "s": "z + 16", "g": "s + 10", "y": "g + 14", "l": "y + 1", "e": "l + 3", "a": "e + 14", "z": 4}, "premises": {"z": 4}, "target": "i"}, "answer": {"steps": [["k", "n + 3", "n + 5"], ["n", "r + 16", "r + 21"], ["r", "f + 1", "f + 22"], ["f", "h + 4", "h + 26"], ["h", "z + 19", "z + 45"], ["z", 4, "49"]], "target_var_name": "i", "target_value": 49, "value_dict": {"z": 4}, "is_reverse": true}}
| 852
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = h + 4; n = r + 16; g = s + 10; s = z + 16; h = z + 19; a = e + 14; y = g + 14; l = y + 1; e = l + 3; z = 4; i = k + 2; k = n + 3; r = f + 1. If z = 4, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = n + 3 to i, which gives i = n + 5.\n2. Substitute n = r + 16 to i, which gives i = r + 21.\n3. Substitute r = f + 1 to i, which gives i = f + 22.\n4. Substitute f = h + 4 to i, which gives i = h + 26.\n5. Substitute h = z + 19 to i, which gives i = z + 45.\n6. Substitute z = 4 to i, which gives i = 49.\n\nThus, the final answer is i = \\boxed{49}.",
"index": 852,
"question": "Consider a system of variables where each variable is defined as follows: f = h + 4; n = r + 16; g = s + 10; s = z + 16; h = z + 19; a = e + 14; y = g + 14; l = y + 1; e = l + 3; z = 4; i = k + 2; k = n + 3; r = f + 1. If z = 4, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"b": "t + 4", "j": "b + 5", "k": "j + 9", "x": "k + 11", "y": "x + 4", "d": "y + 3", "a": "t + 11", "o": "a + 10", "q": "o + 12", "r": "q + 19", "v": "r + 18", "w": "v + 18", "t": 3}, "premises": {"t": 3}, "target": "d"}, "answer": {"steps": [["y", "x + 4", "x + 7"], ["x", "k + 11", "k + 18"], ["k", "j + 9", "j + 27"], ["j", "b + 5", "b + 32"], ["b", "t + 4", "t + 36"], ["t", 3, "39"]], "target_var_name": "d", "target_value": 39, "value_dict": {"t": 3}, "is_reverse": true}}
| 853
| 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 = j + 9; j = b + 5; w = v + 18; v = r + 18; q = o + 12; a = t + 11; y = x + 4; d = y + 3; t = 3; b = t + 4; r = q + 19; x = k + 11; o = a + 10. If t = 3, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 39,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = x + 4 to d, which gives d = x + 7.\n2. Substitute x = k + 11 to d, which gives d = k + 18.\n3. Substitute k = j + 9 to d, which gives d = j + 27.\n4. Substitute j = b + 5 to d, which gives d = b + 32.\n5. Substitute b = t + 4 to d, which gives d = t + 36.\n6. Substitute t = 3 to d, which gives d = 39.\n\nThus, the final answer is d = \\boxed{39}.",
"index": 853,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = j + 9; j = b + 5; w = v + 18; v = r + 18; q = o + 12; a = t + 11; y = x + 4; d = y + 3; t = 3; b = t + 4; r = q + 19; x = k + 11; o = a + 10. If t = 3, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"z": "h + 2", "s": "z + 16", "p": "s + 19", "g": "p + 7", "y": "g + 17", "q": "y + 5", "d": "h + 9", "k": "d + 3", "n": "k + 2", "w": "n + 12", "m": "w + 3", "f": "m + 5", "h": 12}, "premises": {"h": 12}, "target": "q"}, "answer": {"steps": [["y", "g + 17", "g + 22"], ["g", "p + 7", "p + 29"], ["p", "s + 19", "s + 48"], ["s", "z + 16", "z + 64"], ["z", "h + 2", "h + 66"], ["h", 12, "78"]], "target_var_name": "q", "target_value": 78, "value_dict": {"h": 12}, "is_reverse": true}}
| 854
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = m + 5; g = p + 7; h = 12; w = n + 12; m = w + 3; q = y + 5; d = h + 9; s = z + 16; n = k + 2; y = g + 17; z = h + 2; k = d + 3; p = s + 19. If h = 12, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = g + 17 to q, which gives q = g + 22.\n2. Substitute g = p + 7 to q, which gives q = p + 29.\n3. Substitute p = s + 19 to q, which gives q = s + 48.\n4. Substitute s = z + 16 to q, which gives q = z + 64.\n5. Substitute z = h + 2 to q, which gives q = h + 66.\n6. Substitute h = 12 to q, which gives q = 78.\n\nThus, the final answer is q = \\boxed{78}.",
"index": 854,
"question": "Consider a system of variables where each variable is defined as follows: f = m + 5; g = p + 7; h = 12; w = n + 12; m = w + 3; q = y + 5; d = h + 9; s = z + 16; n = k + 2; y = g + 17; z = h + 2; k = d + 3; p = s + 19. If h = 12, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"l": "k + 14", "p": "l + 19", "c": "p + 18", "b": "c + 6", "i": "b + 1", "q": "i + 16", "f": "k + 20", "o": "f + 19", "h": "o + 1", "n": "h + 17", "a": "n + 17", "s": "a + 18", "k": 2}, "premises": {"k": 2}, "target": "q"}, "answer": {"steps": [["i", "b + 1", "b + 17"], ["b", "c + 6", "c + 23"], ["c", "p + 18", "p + 41"], ["p", "l + 19", "l + 60"], ["l", "k + 14", "k + 74"], ["k", 2, "76"]], "target_var_name": "q", "target_value": 76, "value_dict": {"k": 2}, "is_reverse": true}}
| 855
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = k + 20; i = b + 1; a = n + 17; b = c + 6; c = p + 18; h = o + 1; p = l + 19; q = i + 16; n = h + 17; o = f + 19; l = k + 14; k = 2; s = a + 18. Given that k = 2, find 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 i = b + 1 to q, which gives q = b + 17.\n2. Substitute b = c + 6 to q, which gives q = c + 23.\n3. Substitute c = p + 18 to q, which gives q = p + 41.\n4. Substitute p = l + 19 to q, which gives q = l + 60.\n5. Substitute l = k + 14 to q, which gives q = k + 74.\n6. Substitute k = 2 to q, which gives q = 76.\n\nThus, the final answer is q = \\boxed{76}.",
"index": 855,
"question": "Suppose a collection of variables is related by the following definitions: f = k + 20; i = b + 1; a = n + 17; b = c + 6; c = p + 18; h = o + 1; p = l + 19; q = i + 16; n = h + 17; o = f + 19; l = k + 14; k = 2; s = a + 18. Given that k = 2, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"z": "h + 5", "v": "z + 16", "m": "v + 13", "t": "m + 13", "u": "t + 5", "g": "u + 15", "d": "h + 3", "j": "d + 6", "a": "j + 17", "n": "a + 4", "c": "n + 1", "i": "c + 4", "h": 4}, "premises": {"h": 4}, "target": "g"}, "answer": {"steps": [["u", "t + 5", "t + 20"], ["t", "m + 13", "m + 33"], ["m", "v + 13", "v + 46"], ["v", "z + 16", "z + 62"], ["z", "h + 5", "h + 67"], ["h", 4, "71"]], "target_var_name": "g", "target_value": 71, "value_dict": {"h": 4}, "is_reverse": true}}
| 856
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = v + 13; t = m + 13; n = a + 4; i = c + 4; j = d + 6; a = j + 17; v = z + 16; z = h + 5; c = n + 1; u = t + 5; h = 4; d = h + 3; g = u + 15. If h = 4, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = t + 5 to g, which gives g = t + 20.\n2. Substitute t = m + 13 to g, which gives g = m + 33.\n3. Substitute m = v + 13 to g, which gives g = v + 46.\n4. Substitute v = z + 16 to g, which gives g = z + 62.\n5. Substitute z = h + 5 to g, which gives g = h + 67.\n6. Substitute h = 4 to g, which gives g = 71.\n\nThus, the final answer is g = \\boxed{71}.",
"index": 856,
"question": "Consider a system of variables where each variable is defined as follows: m = v + 13; t = m + 13; n = a + 4; i = c + 4; j = d + 6; a = j + 17; v = z + 16; z = h + 5; c = n + 1; u = t + 5; h = 4; d = h + 3; g = u + 15. If h = 4, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"t": "b + 14", "a": "t + 7", "m": "a + 16", "v": "m + 8", "e": "v + 14", "g": "e + 13", "w": "b + 7", "s": "w + 17", "x": "s + 16", "z": "x + 13", "f": "z + 14", "n": "f + 14", "b": 1}, "premises": {"b": 1}, "target": "g"}, "answer": {"steps": [["e", "v + 14", "v + 27"], ["v", "m + 8", "m + 35"], ["m", "a + 16", "a + 51"], ["a", "t + 7", "t + 58"], ["t", "b + 14", "b + 72"], ["b", 1, "73"]], "target_var_name": "g", "target_value": 73, "value_dict": {"b": 1}, "is_reverse": true}}
| 857
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = x + 13; n = f + 14; w = b + 7; f = z + 14; t = b + 14; v = m + 8; a = t + 7; x = s + 16; e = v + 14; s = w + 17; g = e + 13; m = a + 16; b = 1. Given that b = 1, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = v + 14 to g, which gives g = v + 27.\n2. Substitute v = m + 8 to g, which gives g = m + 35.\n3. Substitute m = a + 16 to g, which gives g = a + 51.\n4. Substitute a = t + 7 to g, which gives g = t + 58.\n5. Substitute t = b + 14 to g, which gives g = b + 72.\n6. Substitute b = 1 to g, which gives g = 73.\n\nThus, the final answer is g = \\boxed{73}.",
"index": 857,
"question": "Suppose a collection of variables is related by the following definitions: z = x + 13; n = f + 14; w = b + 7; f = z + 14; t = b + 14; v = m + 8; a = t + 7; x = s + 16; e = v + 14; s = w + 17; g = e + 13; m = a + 16; b = 1. Given that b = 1, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"y": "f + 8", "n": "y + 16", "r": "n + 14", "t": "r + 5", "c": "t + 17", "h": "c + 16", "z": "f + 12", "q": "z + 7", "o": "q + 3", "v": "o + 16", "x": "v + 4", "i": "x + 11", "f": 10}, "premises": {"f": 10}, "target": "h"}, "answer": {"steps": [["c", "t + 17", "t + 33"], ["t", "r + 5", "r + 38"], ["r", "n + 14", "n + 52"], ["n", "y + 16", "y + 68"], ["y", "f + 8", "f + 76"], ["f", 10, "86"]], "target_var_name": "h", "target_value": 86, "value_dict": {"f": 10}, "is_reverse": true}}
| 858
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = c + 16; t = r + 5; o = q + 3; i = x + 11; f = 10; y = f + 8; q = z + 7; z = f + 12; v = o + 16; x = v + 4; r = n + 14; n = y + 16; c = t + 17. If f = 10, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = t + 17 to h, which gives h = t + 33.\n2. Substitute t = r + 5 to h, which gives h = r + 38.\n3. Substitute r = n + 14 to h, which gives h = n + 52.\n4. Substitute n = y + 16 to h, which gives h = y + 68.\n5. Substitute y = f + 8 to h, which gives h = f + 76.\n6. Substitute f = 10 to h, which gives h = 86.\n\nThus, the final answer is h = \\boxed{86}.",
"index": 858,
"question": "Consider a system of variables where each variable is defined as follows: h = c + 16; t = r + 5; o = q + 3; i = x + 11; f = 10; y = f + 8; q = z + 7; z = f + 12; v = o + 16; x = v + 4; r = n + 14; n = y + 16; c = t + 17. If f = 10, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"a": "u + 5", "b": "a + 16", "r": "b + 5", "k": "r + 1", "g": "k + 10", "i": "g + 14", "d": "u + 6", "c": "d + 19", "x": "c + 4", "p": "x + 18", "v": "p + 3", "q": "v + 4", "u": 10}, "premises": {"u": 10}, "target": "i"}, "answer": {"steps": [["g", "k + 10", "k + 24"], ["k", "r + 1", "r + 25"], ["r", "b + 5", "b + 30"], ["b", "a + 16", "a + 46"], ["a", "u + 5", "u + 51"], ["u", 10, "61"]], "target_var_name": "i", "target_value": 61, "value_dict": {"u": 10}, "is_reverse": true}}
| 859
| 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 = r + 1; a = u + 5; c = d + 19; b = a + 16; g = k + 10; i = g + 14; p = x + 18; r = b + 5; x = c + 4; u = 10; v = p + 3; q = v + 4; d = u + 6. If u = 10, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = k + 10 to i, which gives i = k + 24.\n2. Substitute k = r + 1 to i, which gives i = r + 25.\n3. Substitute r = b + 5 to i, which gives i = b + 30.\n4. Substitute b = a + 16 to i, which gives i = a + 46.\n5. Substitute a = u + 5 to i, which gives i = u + 51.\n6. Substitute u = 10 to i, which gives i = 61.\n\nThus, the final answer is i = \\boxed{61}.",
"index": 859,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = r + 1; a = u + 5; c = d + 19; b = a + 16; g = k + 10; i = g + 14; p = x + 18; r = b + 5; x = c + 4; u = 10; v = p + 3; q = v + 4; d = u + 6. If u = 10, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"k": "c + 4", "r": "k + 11", "n": "r + 17", "i": "n + 3", "z": "i + 9", "y": "z + 14", "w": "c + 11", "t": "w + 1", "x": "t + 19", "q": "x + 15", "e": "q + 4", "g": "e + 13", "c": 2}, "premises": {"c": 2}, "target": "y"}, "answer": {"steps": [["z", "i + 9", "i + 23"], ["i", "n + 3", "n + 26"], ["n", "r + 17", "r + 43"], ["r", "k + 11", "k + 54"], ["k", "c + 4", "c + 58"], ["c", 2, "60"]], "target_var_name": "y", "target_value": 60, "value_dict": {"c": 2}, "is_reverse": true}}
| 860
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = n + 3; g = e + 13; w = c + 11; c = 2; k = c + 4; z = i + 9; n = r + 17; x = t + 19; e = q + 4; t = w + 1; q = x + 15; r = k + 11; y = z + 14. Given that c = 2, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = i + 9 to y, which gives y = i + 23.\n2. Substitute i = n + 3 to y, which gives y = n + 26.\n3. Substitute n = r + 17 to y, which gives y = r + 43.\n4. Substitute r = k + 11 to y, which gives y = k + 54.\n5. Substitute k = c + 4 to y, which gives y = c + 58.\n6. Substitute c = 2 to y, which gives y = 60.\n\nThus, the final answer is y = \\boxed{60}.",
"index": 860,
"question": "Suppose a collection of variables is related by the following definitions: i = n + 3; g = e + 13; w = c + 11; c = 2; k = c + 4; z = i + 9; n = r + 17; x = t + 19; e = q + 4; t = w + 1; q = x + 15; r = k + 11; y = z + 14. Given that c = 2, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"g": "d + 5", "c": "g + 3", "h": "c + 20", "r": "h + 4", "t": "r + 17", "y": "t + 4", "m": "d + 1", "j": "m + 11", "i": "j + 19", "p": "i + 16", "v": "p + 3", "b": "v + 14", "d": 6}, "premises": {"d": 6}, "target": "y"}, "answer": {"steps": [["t", "r + 17", "r + 21"], ["r", "h + 4", "h + 25"], ["h", "c + 20", "c + 45"], ["c", "g + 3", "g + 48"], ["g", "d + 5", "d + 53"], ["d", 6, "59"]], "target_var_name": "y", "target_value": 59, "value_dict": {"d": 6}, "is_reverse": true}}
| 861
| 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 = d + 1; v = p + 3; c = g + 3; i = j + 19; r = h + 4; h = c + 20; t = r + 17; d = 6; p = i + 16; b = v + 14; j = m + 11; g = d + 5; y = t + 4. If d = 6, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = r + 17 to y, which gives y = r + 21.\n2. Substitute r = h + 4 to y, which gives y = h + 25.\n3. Substitute h = c + 20 to y, which gives y = c + 45.\n4. Substitute c = g + 3 to y, which gives y = g + 48.\n5. Substitute g = d + 5 to y, which gives y = d + 53.\n6. Substitute d = 6 to y, which gives y = 59.\n\nThus, the final answer is y = \\boxed{59}.",
"index": 861,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = d + 1; v = p + 3; c = g + 3; i = j + 19; r = h + 4; h = c + 20; t = r + 17; d = 6; p = i + 16; b = v + 14; j = m + 11; g = d + 5; y = t + 4. If d = 6, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"h": "x + 20", "j": "h + 5", "c": "j + 9", "p": "c + 13", "q": "p + 8", "v": "q + 16", "i": "x + 15", "l": "i + 19", "d": "l + 10", "g": "d + 19", "z": "g + 6", "e": "z + 20", "x": 15}, "premises": {"x": 15}, "target": "v"}, "answer": {"steps": [["q", "p + 8", "p + 24"], ["p", "c + 13", "c + 37"], ["c", "j + 9", "j + 46"], ["j", "h + 5", "h + 51"], ["h", "x + 20", "x + 71"], ["x", 15, "86"]], "target_var_name": "v", "target_value": 86, "value_dict": {"x": 15}, "is_reverse": true}}
| 862
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = l + 10; c = j + 9; p = c + 13; g = d + 19; l = i + 19; h = x + 20; z = g + 6; i = x + 15; j = h + 5; e = z + 20; v = q + 16; x = 15; q = p + 8. Given that x = 15, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = p + 8 to v, which gives v = p + 24.\n2. Substitute p = c + 13 to v, which gives v = c + 37.\n3. Substitute c = j + 9 to v, which gives v = j + 46.\n4. Substitute j = h + 5 to v, which gives v = h + 51.\n5. Substitute h = x + 20 to v, which gives v = x + 71.\n6. Substitute x = 15 to v, which gives v = 86.\n\nThus, the final answer is v = \\boxed{86}.",
"index": 862,
"question": "Suppose a collection of variables is related by the following definitions: d = l + 10; c = j + 9; p = c + 13; g = d + 19; l = i + 19; h = x + 20; z = g + 6; i = x + 15; j = h + 5; e = z + 20; v = q + 16; x = 15; q = p + 8. Given that x = 15, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"j": "t + 10", "g": "j + 11", "f": "g + 1", "e": "f + 2", "m": "e + 7", "x": "m + 15", "u": "t + 11", "w": "u + 10", "b": "w + 11", "y": "b + 14", "d": "y + 3", "s": "d + 17", "t": 19}, "premises": {"t": 19}, "target": "x"}, "answer": {"steps": [["m", "e + 7", "e + 22"], ["e", "f + 2", "f + 24"], ["f", "g + 1", "g + 25"], ["g", "j + 11", "j + 36"], ["j", "t + 10", "t + 46"], ["t", 19, "65"]], "target_var_name": "x", "target_value": 65, "value_dict": {"t": 19}, "is_reverse": true}}
| 863
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = d + 17; w = u + 10; t = 19; e = f + 2; j = t + 10; d = y + 3; b = w + 11; u = t + 11; x = m + 15; y = b + 14; m = e + 7; f = g + 1; g = j + 11. If t = 19, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = e + 7 to x, which gives x = e + 22.\n2. Substitute e = f + 2 to x, which gives x = f + 24.\n3. Substitute f = g + 1 to x, which gives x = g + 25.\n4. Substitute g = j + 11 to x, which gives x = j + 36.\n5. Substitute j = t + 10 to x, which gives x = t + 46.\n6. Substitute t = 19 to x, which gives x = 65.\n\nThus, the final answer is x = \\boxed{65}.",
"index": 863,
"question": "Consider a system of variables where each variable is defined as follows: s = d + 17; w = u + 10; t = 19; e = f + 2; j = t + 10; d = y + 3; b = w + 11; u = t + 11; x = m + 15; y = b + 14; m = e + 7; f = g + 1; g = j + 11. If t = 19, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"b": "o + 3", "m": "b + 9", "v": "m + 15", "y": "v + 15", "n": "y + 3", "f": "n + 11", "h": "o + 6", "c": "h + 10", "p": "c + 8", "s": "p + 5", "a": "s + 11", "r": "a + 3", "o": 8}, "premises": {"o": 8}, "target": "f"}, "answer": {"steps": [["n", "y + 3", "y + 14"], ["y", "v + 15", "v + 29"], ["v", "m + 15", "m + 44"], ["m", "b + 9", "b + 53"], ["b", "o + 3", "o + 56"], ["o", 8, "64"]], "target_var_name": "f", "target_value": 64, "value_dict": {"o": 8}, "is_reverse": true}}
| 864
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = b + 9; b = o + 3; h = o + 6; c = h + 10; s = p + 5; o = 8; f = n + 11; n = y + 3; y = v + 15; v = m + 15; a = s + 11; r = a + 3; p = c + 8. Given that o = 8, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = y + 3 to f, which gives f = y + 14.\n2. Substitute y = v + 15 to f, which gives f = v + 29.\n3. Substitute v = m + 15 to f, which gives f = m + 44.\n4. Substitute m = b + 9 to f, which gives f = b + 53.\n5. Substitute b = o + 3 to f, which gives f = o + 56.\n6. Substitute o = 8 to f, which gives f = 64.\n\nThus, the final answer is f = \\boxed{64}.",
"index": 864,
"question": "Suppose a collection of variables is related by the following definitions: m = b + 9; b = o + 3; h = o + 6; c = h + 10; s = p + 5; o = 8; f = n + 11; n = y + 3; y = v + 15; v = m + 15; a = s + 11; r = a + 3; p = c + 8. Given that o = 8, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"n": "r + 14", "d": "n + 5", "e": "d + 9", "l": "e + 11", "p": "l + 6", "q": "p + 9", "i": "r + 6", "m": "i + 16", "s": "m + 3", "u": "s + 5", "c": "u + 2", "a": "c + 7", "r": 20}, "premises": {"r": 20}, "target": "q"}, "answer": {"steps": [["p", "l + 6", "l + 15"], ["l", "e + 11", "e + 26"], ["e", "d + 9", "d + 35"], ["d", "n + 5", "n + 40"], ["n", "r + 14", "r + 54"], ["r", 20, "74"]], "target_var_name": "q", "target_value": 74, "value_dict": {"r": 20}, "is_reverse": true}}
| 865
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = n + 5; e = d + 9; a = c + 7; r = 20; l = e + 11; n = r + 14; s = m + 3; m = i + 16; c = u + 2; i = r + 6; q = p + 9; u = s + 5; p = l + 6. If r = 20, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = l + 6 to q, which gives q = l + 15.\n2. Substitute l = e + 11 to q, which gives q = e + 26.\n3. Substitute e = d + 9 to q, which gives q = d + 35.\n4. Substitute d = n + 5 to q, which gives q = n + 40.\n5. Substitute n = r + 14 to q, which gives q = r + 54.\n6. Substitute r = 20 to q, which gives q = 74.\n\nThus, the final answer is q = \\boxed{74}.",
"index": 865,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = n + 5; e = d + 9; a = c + 7; r = 20; l = e + 11; n = r + 14; s = m + 3; m = i + 16; c = u + 2; i = r + 6; q = p + 9; u = s + 5; p = l + 6. If r = 20, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"y": "r + 11", "g": "y + 19", "h": "g + 17", "v": "h + 7", "k": "v + 14", "b": "k + 6", "x": "r + 19", "i": "x + 14", "d": "i + 3", "w": "d + 5", "e": "w + 20", "a": "e + 11", "r": 7}, "premises": {"r": 7}, "target": "b"}, "answer": {"steps": [["k", "v + 14", "v + 20"], ["v", "h + 7", "h + 27"], ["h", "g + 17", "g + 44"], ["g", "y + 19", "y + 63"], ["y", "r + 11", "r + 74"], ["r", 7, "81"]], "target_var_name": "b", "target_value": 81, "value_dict": {"r": 7}, "is_reverse": true}}
| 866
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = g + 17; i = x + 14; y = r + 11; e = w + 20; g = y + 19; r = 7; k = v + 14; x = r + 19; d = i + 3; b = k + 6; a = e + 11; w = d + 5; v = h + 7. If r = 7, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = v + 14 to b, which gives b = v + 20.\n2. Substitute v = h + 7 to b, which gives b = h + 27.\n3. Substitute h = g + 17 to b, which gives b = g + 44.\n4. Substitute g = y + 19 to b, which gives b = y + 63.\n5. Substitute y = r + 11 to b, which gives b = r + 74.\n6. Substitute r = 7 to b, which gives b = 81.\n\nThus, the final answer is b = \\boxed{81}.",
"index": 866,
"question": "Consider a system of variables where each variable is defined as follows: h = g + 17; i = x + 14; y = r + 11; e = w + 20; g = y + 19; r = 7; k = v + 14; x = r + 19; d = i + 3; b = k + 6; a = e + 11; w = d + 5; v = h + 7. If r = 7, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"p": "r + 4", "h": "p + 16", "a": "h + 8", "n": "a + 6", "w": "n + 7", "l": "w + 12", "v": "r + 15", "i": "v + 8", "j": "i + 17", "o": "j + 16", "g": "o + 17", "d": "g + 6", "r": 15}, "premises": {"r": 15}, "target": "l"}, "answer": {"steps": [["w", "n + 7", "n + 19"], ["n", "a + 6", "a + 25"], ["a", "h + 8", "h + 33"], ["h", "p + 16", "p + 49"], ["p", "r + 4", "r + 53"], ["r", 15, "68"]], "target_var_name": "l", "target_value": 68, "value_dict": {"r": 15}, "is_reverse": true}}
| 867
| 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 = o + 17; n = a + 6; v = r + 15; w = n + 7; j = i + 17; d = g + 6; o = j + 16; p = r + 4; i = v + 8; r = 15; l = w + 12; a = h + 8; h = p + 16. If r = 15, what is the resulting 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 w = n + 7 to l, which gives l = n + 19.\n2. Substitute n = a + 6 to l, which gives l = a + 25.\n3. Substitute a = h + 8 to l, which gives l = h + 33.\n4. Substitute h = p + 16 to l, which gives l = p + 49.\n5. Substitute p = r + 4 to l, which gives l = r + 53.\n6. Substitute r = 15 to l, which gives l = 68.\n\nThus, the final answer is l = \\boxed{68}.",
"index": 867,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = o + 17; n = a + 6; v = r + 15; w = n + 7; j = i + 17; d = g + 6; o = j + 16; p = r + 4; i = v + 8; r = 15; l = w + 12; a = h + 8; h = p + 16. If r = 15, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"b": "w + 3", "m": "b + 4", "c": "m + 15", "g": "c + 10", "j": "g + 14", "s": "j + 17", "d": "w + 13", "k": "d + 13", "h": "k + 5", "f": "h + 3", "u": "f + 15", "i": "u + 11", "w": 18}, "premises": {"w": 18}, "target": "s"}, "answer": {"steps": [["j", "g + 14", "g + 31"], ["g", "c + 10", "c + 41"], ["c", "m + 15", "m + 56"], ["m", "b + 4", "b + 60"], ["b", "w + 3", "w + 63"], ["w", 18, "81"]], "target_var_name": "s", "target_value": 81, "value_dict": {"w": 18}, "is_reverse": true}}
| 868
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = f + 15; k = d + 13; h = k + 5; m = b + 4; s = j + 17; d = w + 13; g = c + 10; w = 18; c = m + 15; f = h + 3; i = u + 11; b = w + 3; j = g + 14. Given that w = 18, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = g + 14 to s, which gives s = g + 31.\n2. Substitute g = c + 10 to s, which gives s = c + 41.\n3. Substitute c = m + 15 to s, which gives s = m + 56.\n4. Substitute m = b + 4 to s, which gives s = b + 60.\n5. Substitute b = w + 3 to s, which gives s = w + 63.\n6. Substitute w = 18 to s, which gives s = 81.\n\nThus, the final answer is s = \\boxed{81}.",
"index": 868,
"question": "Suppose a collection of variables is related by the following definitions: u = f + 15; k = d + 13; h = k + 5; m = b + 4; s = j + 17; d = w + 13; g = c + 10; w = 18; c = m + 15; f = h + 3; i = u + 11; b = w + 3; j = g + 14. Given that w = 18, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"n": "v + 3", "c": "n + 14", "x": "c + 17", "l": "x + 15", "e": "l + 14", "u": "e + 6", "j": "v + 16", "k": "j + 3", "t": "k + 9", "w": "t + 17", "f": "w + 19", "s": "f + 11", "v": 12}, "premises": {"v": 12}, "target": "u"}, "answer": {"steps": [["e", "l + 14", "l + 20"], ["l", "x + 15", "x + 35"], ["x", "c + 17", "c + 52"], ["c", "n + 14", "n + 66"], ["n", "v + 3", "v + 69"], ["v", 12, "81"]], "target_var_name": "u", "target_value": 81, "value_dict": {"v": 12}, "is_reverse": true}}
| 869
| 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 = j + 3; j = v + 16; u = e + 6; t = k + 9; x = c + 17; l = x + 15; f = w + 19; s = f + 11; e = l + 14; n = v + 3; v = 12; w = t + 17; c = n + 14. If v = 12, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = l + 14 to u, which gives u = l + 20.\n2. Substitute l = x + 15 to u, which gives u = x + 35.\n3. Substitute x = c + 17 to u, which gives u = c + 52.\n4. Substitute c = n + 14 to u, which gives u = n + 66.\n5. Substitute n = v + 3 to u, which gives u = v + 69.\n6. Substitute v = 12 to u, which gives u = 81.\n\nThus, the final answer is u = \\boxed{81}.",
"index": 869,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = j + 3; j = v + 16; u = e + 6; t = k + 9; x = c + 17; l = x + 15; f = w + 19; s = f + 11; e = l + 14; n = v + 3; v = 12; w = t + 17; c = n + 14. If v = 12, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"p": "l + 3", "x": "p + 9", "j": "x + 15", "k": "j + 15", "m": "k + 2", "h": "m + 13", "r": "l + 17", "u": "r + 20", "y": "u + 16", "i": "y + 14", "s": "i + 13", "b": "s + 9", "l": 1}, "premises": {"l": 1}, "target": "h"}, "answer": {"steps": [["m", "k + 2", "k + 15"], ["k", "j + 15", "j + 30"], ["j", "x + 15", "x + 45"], ["x", "p + 9", "p + 54"], ["p", "l + 3", "l + 57"], ["l", 1, "58"]], "target_var_name": "h", "target_value": 58, "value_dict": {"l": 1}, "is_reverse": true}}
| 870
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = p + 9; j = x + 15; i = y + 14; u = r + 20; m = k + 2; r = l + 17; p = l + 3; s = i + 13; h = m + 13; y = u + 16; b = s + 9; l = 1; k = j + 15. Given that l = 1, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = k + 2 to h, which gives h = k + 15.\n2. Substitute k = j + 15 to h, which gives h = j + 30.\n3. Substitute j = x + 15 to h, which gives h = x + 45.\n4. Substitute x = p + 9 to h, which gives h = p + 54.\n5. Substitute p = l + 3 to h, which gives h = l + 57.\n6. Substitute l = 1 to h, which gives h = 58.\n\nThus, the final answer is h = \\boxed{58}.",
"index": 870,
"question": "Suppose a collection of variables is related by the following definitions: x = p + 9; j = x + 15; i = y + 14; u = r + 20; m = k + 2; r = l + 17; p = l + 3; s = i + 13; h = m + 13; y = u + 16; b = s + 9; l = 1; k = j + 15. Given that l = 1, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"h": "q + 9", "n": "h + 14", "e": "n + 18", "b": "e + 17", "m": "b + 16", "l": "m + 15", "v": "q + 19", "o": "v + 15", "r": "o + 16", "s": "r + 20", "g": "s + 8", "d": "g + 15", "q": 6}, "premises": {"q": 6}, "target": "l"}, "answer": {"steps": [["m", "b + 16", "b + 31"], ["b", "e + 17", "e + 48"], ["e", "n + 18", "n + 66"], ["n", "h + 14", "h + 80"], ["h", "q + 9", "q + 89"], ["q", 6, "95"]], "target_var_name": "l", "target_value": 95, "value_dict": {"q": 6}, "is_reverse": true}}
| 871
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = r + 20; n = h + 14; q = 6; e = n + 18; h = q + 9; d = g + 15; g = s + 8; v = q + 19; r = o + 16; l = m + 15; o = v + 15; m = b + 16; b = e + 17. Given that q = 6, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = b + 16 to l, which gives l = b + 31.\n2. Substitute b = e + 17 to l, which gives l = e + 48.\n3. Substitute e = n + 18 to l, which gives l = n + 66.\n4. Substitute n = h + 14 to l, which gives l = h + 80.\n5. Substitute h = q + 9 to l, which gives l = q + 89.\n6. Substitute q = 6 to l, which gives l = 95.\n\nThus, the final answer is l = \\boxed{95}.",
"index": 871,
"question": "Suppose a collection of variables is related by the following definitions: s = r + 20; n = h + 14; q = 6; e = n + 18; h = q + 9; d = g + 15; g = s + 8; v = q + 19; r = o + 16; l = m + 15; o = v + 15; m = b + 16; b = e + 17. Given that q = 6, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"f": "v + 14", "y": "f + 17", "h": "y + 4", "c": "h + 10", "b": "c + 13", "n": "b + 19", "a": "v + 5", "k": "a + 4", "d": "k + 13", "j": "d + 3", "q": "j + 5", "u": "q + 7", "v": 5}, "premises": {"v": 5}, "target": "n"}, "answer": {"steps": [["b", "c + 13", "c + 32"], ["c", "h + 10", "h + 42"], ["h", "y + 4", "y + 46"], ["y", "f + 17", "f + 63"], ["f", "v + 14", "v + 77"], ["v", 5, "82"]], "target_var_name": "n", "target_value": 82, "value_dict": {"v": 5}, "is_reverse": true}}
| 872
| 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 = c + 13; u = q + 7; f = v + 14; j = d + 3; q = j + 5; c = h + 10; a = v + 5; d = k + 13; v = 5; k = a + 4; n = b + 19; h = y + 4; y = f + 17. If v = 5, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = c + 13 to n, which gives n = c + 32.\n2. Substitute c = h + 10 to n, which gives n = h + 42.\n3. Substitute h = y + 4 to n, which gives n = y + 46.\n4. Substitute y = f + 17 to n, which gives n = f + 63.\n5. Substitute f = v + 14 to n, which gives n = v + 77.\n6. Substitute v = 5 to n, which gives n = 82.\n\nThus, the final answer is n = \\boxed{82}.",
"index": 872,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = c + 13; u = q + 7; f = v + 14; j = d + 3; q = j + 5; c = h + 10; a = v + 5; d = k + 13; v = 5; k = a + 4; n = b + 19; h = y + 4; y = f + 17. If v = 5, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"u": "v + 13", "d": "u + 3", "c": "d + 14", "k": "c + 11", "w": "k + 18", "t": "w + 1", "o": "v + 3", "z": "o + 1", "s": "z + 9", "q": "s + 2", "e": "q + 4", "p": "e + 9", "v": 3}, "premises": {"v": 3}, "target": "t"}, "answer": {"steps": [["w", "k + 18", "k + 19"], ["k", "c + 11", "c + 30"], ["c", "d + 14", "d + 44"], ["d", "u + 3", "u + 47"], ["u", "v + 13", "v + 60"], ["v", 3, "63"]], "target_var_name": "t", "target_value": 63, "value_dict": {"v": 3}, "is_reverse": true}}
| 873
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = s + 2; d = u + 3; w = k + 18; v = 3; o = v + 3; c = d + 14; s = z + 9; e = q + 4; u = v + 13; k = c + 11; t = w + 1; z = o + 1; p = e + 9. Given that v = 3, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = k + 18 to t, which gives t = k + 19.\n2. Substitute k = c + 11 to t, which gives t = c + 30.\n3. Substitute c = d + 14 to t, which gives t = d + 44.\n4. Substitute d = u + 3 to t, which gives t = u + 47.\n5. Substitute u = v + 13 to t, which gives t = v + 60.\n6. Substitute v = 3 to t, which gives t = 63.\n\nThus, the final answer is t = \\boxed{63}.",
"index": 873,
"question": "Suppose a collection of variables is related by the following definitions: q = s + 2; d = u + 3; w = k + 18; v = 3; o = v + 3; c = d + 14; s = z + 9; e = q + 4; u = v + 13; k = c + 11; t = w + 1; z = o + 1; p = e + 9. Given that v = 3, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"q": "c + 9", "n": "q + 2", "a": "n + 14", "d": "a + 9", "p": "d + 16", "b": "p + 12", "v": "c + 1", "f": "v + 4", "g": "f + 16", "y": "g + 10", "i": "y + 13", "k": "i + 2", "c": 10}, "premises": {"c": 10}, "target": "b"}, "answer": {"steps": [["p", "d + 16", "d + 28"], ["d", "a + 9", "a + 37"], ["a", "n + 14", "n + 51"], ["n", "q + 2", "q + 53"], ["q", "c + 9", "c + 62"], ["c", 10, "72"]], "target_var_name": "b", "target_value": 72, "value_dict": {"c": 10}, "is_reverse": true}}
| 874
| 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 + 1; c = 10; a = n + 14; g = f + 16; p = d + 16; i = y + 13; d = a + 9; n = q + 2; f = v + 4; q = c + 9; y = g + 10; b = p + 12; k = i + 2. If c = 10, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = d + 16 to b, which gives b = d + 28.\n2. Substitute d = a + 9 to b, which gives b = a + 37.\n3. Substitute a = n + 14 to b, which gives b = n + 51.\n4. Substitute n = q + 2 to b, which gives b = q + 53.\n5. Substitute q = c + 9 to b, which gives b = c + 62.\n6. Substitute c = 10 to b, which gives b = 72.\n\nThus, the final answer is b = \\boxed{72}.",
"index": 874,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = c + 1; c = 10; a = n + 14; g = f + 16; p = d + 16; i = y + 13; d = a + 9; n = q + 2; f = v + 4; q = c + 9; y = g + 10; b = p + 12; k = i + 2. If c = 10, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"b": "g + 17", "e": "b + 2", "m": "e + 20", "d": "m + 10", "r": "d + 5", "c": "r + 10", "p": "g + 5", "n": "p + 18", "v": "n + 9", "u": "v + 1", "s": "u + 18", "w": "s + 9", "g": 3}, "premises": {"g": 3}, "target": "c"}, "answer": {"steps": [["r", "d + 5", "d + 15"], ["d", "m + 10", "m + 25"], ["m", "e + 20", "e + 45"], ["e", "b + 2", "b + 47"], ["b", "g + 17", "g + 64"], ["g", 3, "67"]], "target_var_name": "c", "target_value": 67, "value_dict": {"g": 3}, "is_reverse": true}}
| 875
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = p + 18; m = e + 20; v = n + 9; s = u + 18; b = g + 17; e = b + 2; u = v + 1; c = r + 10; g = 3; w = s + 9; p = g + 5; d = m + 10; r = d + 5. If g = 3, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = d + 5 to c, which gives c = d + 15.\n2. Substitute d = m + 10 to c, which gives c = m + 25.\n3. Substitute m = e + 20 to c, which gives c = e + 45.\n4. Substitute e = b + 2 to c, which gives c = b + 47.\n5. Substitute b = g + 17 to c, which gives c = g + 64.\n6. Substitute g = 3 to c, which gives c = 67.\n\nThus, the final answer is c = \\boxed{67}.",
"index": 875,
"question": "Consider a system of variables where each variable is defined as follows: n = p + 18; m = e + 20; v = n + 9; s = u + 18; b = g + 17; e = b + 2; u = v + 1; c = r + 10; g = 3; w = s + 9; p = g + 5; d = m + 10; r = d + 5. If g = 3, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"j": "r + 20", "l": "j + 7", "y": "l + 18", "f": "y + 12", "k": "f + 3", "z": "k + 12", "x": "r + 5", "b": "x + 15", "w": "b + 2", "u": "w + 7", "d": "u + 18", "i": "d + 4", "r": 5}, "premises": {"r": 5}, "target": "z"}, "answer": {"steps": [["k", "f + 3", "f + 15"], ["f", "y + 12", "y + 27"], ["y", "l + 18", "l + 45"], ["l", "j + 7", "j + 52"], ["j", "r + 20", "r + 72"], ["r", 5, "77"]], "target_var_name": "z", "target_value": 77, "value_dict": {"r": 5}, "is_reverse": true}}
| 876
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = r + 20; r = 5; w = b + 2; y = l + 18; d = u + 18; b = x + 15; k = f + 3; u = w + 7; l = j + 7; i = d + 4; x = r + 5; z = k + 12; f = y + 12. If r = 5, determine the 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 k = f + 3 to z, which gives z = f + 15.\n2. Substitute f = y + 12 to z, which gives z = y + 27.\n3. Substitute y = l + 18 to z, which gives z = l + 45.\n4. Substitute l = j + 7 to z, which gives z = j + 52.\n5. Substitute j = r + 20 to z, which gives z = r + 72.\n6. Substitute r = 5 to z, which gives z = 77.\n\nThus, the final answer is z = \\boxed{77}.",
"index": 876,
"question": "Consider a system of variables where each variable is defined as follows: j = r + 20; r = 5; w = b + 2; y = l + 18; d = u + 18; b = x + 15; k = f + 3; u = w + 7; l = j + 7; i = d + 4; x = r + 5; z = k + 12; f = y + 12. If r = 5, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"e": "z + 5", "s": "e + 3", "i": "s + 3", "p": "i + 11", "t": "p + 11", "c": "t + 18", "f": "z + 6", "u": "f + 4", "w": "u + 12", "x": "w + 17", "d": "x + 18", "l": "d + 5", "z": 15}, "premises": {"z": 15}, "target": "c"}, "answer": {"steps": [["t", "p + 11", "p + 29"], ["p", "i + 11", "i + 40"], ["i", "s + 3", "s + 43"], ["s", "e + 3", "e + 46"], ["e", "z + 5", "z + 51"], ["z", 15, "66"]], "target_var_name": "c", "target_value": 66, "value_dict": {"z": 15}, "is_reverse": true}}
| 877
| 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 = e + 3; d = x + 18; l = d + 5; e = z + 5; p = i + 11; w = u + 12; f = z + 6; z = 15; u = f + 4; x = w + 17; i = s + 3; c = t + 18; t = p + 11. If z = 15, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = p + 11 to c, which gives c = p + 29.\n2. Substitute p = i + 11 to c, which gives c = i + 40.\n3. Substitute i = s + 3 to c, which gives c = s + 43.\n4. Substitute s = e + 3 to c, which gives c = e + 46.\n5. Substitute e = z + 5 to c, which gives c = z + 51.\n6. Substitute z = 15 to c, which gives c = 66.\n\nThus, the final answer is c = \\boxed{66}.",
"index": 877,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = e + 3; d = x + 18; l = d + 5; e = z + 5; p = i + 11; w = u + 12; f = z + 6; z = 15; u = f + 4; x = w + 17; i = s + 3; c = t + 18; t = p + 11. If z = 15, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"x": "v + 1", "o": "x + 8", "l": "o + 2", "f": "l + 4", "r": "f + 14", "j": "r + 6", "y": "v + 11", "g": "y + 6", "m": "g + 3", "t": "m + 16", "e": "t + 6", "s": "e + 10", "v": 2}, "premises": {"v": 2}, "target": "j"}, "answer": {"steps": [["r", "f + 14", "f + 20"], ["f", "l + 4", "l + 24"], ["l", "o + 2", "o + 26"], ["o", "x + 8", "x + 34"], ["x", "v + 1", "v + 35"], ["v", 2, "37"]], "target_var_name": "j", "target_value": 37, "value_dict": {"v": 2}, "is_reverse": true}}
| 878
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = v + 1; v = 2; r = f + 14; t = m + 16; o = x + 8; l = o + 2; g = y + 6; f = l + 4; e = t + 6; j = r + 6; s = e + 10; y = v + 11; m = g + 3. Given that v = 2, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 37,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = f + 14 to j, which gives j = f + 20.\n2. Substitute f = l + 4 to j, which gives j = l + 24.\n3. Substitute l = o + 2 to j, which gives j = o + 26.\n4. Substitute o = x + 8 to j, which gives j = x + 34.\n5. Substitute x = v + 1 to j, which gives j = v + 35.\n6. Substitute v = 2 to j, which gives j = 37.\n\nThus, the final answer is j = \\boxed{37}.",
"index": 878,
"question": "Suppose a collection of variables is related by the following definitions: x = v + 1; v = 2; r = f + 14; t = m + 16; o = x + 8; l = o + 2; g = y + 6; f = l + 4; e = t + 6; j = r + 6; s = e + 10; y = v + 11; m = g + 3. Given that v = 2, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"l": "b + 5", "w": "l + 11", "j": "w + 10", "x": "j + 1", "c": "x + 12", "i": "c + 17", "u": "b + 2", "s": "u + 15", "q": "s + 3", "y": "q + 14", "d": "y + 4", "f": "d + 19", "b": 2}, "premises": {"b": 2}, "target": "i"}, "answer": {"steps": [["c", "x + 12", "x + 29"], ["x", "j + 1", "j + 30"], ["j", "w + 10", "w + 40"], ["w", "l + 11", "l + 51"], ["l", "b + 5", "b + 56"], ["b", 2, "58"]], "target_var_name": "i", "target_value": 58, "value_dict": {"b": 2}, "is_reverse": true}}
| 879
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = j + 1; f = d + 19; w = l + 11; q = s + 3; j = w + 10; l = b + 5; s = u + 15; d = y + 4; c = x + 12; u = b + 2; y = q + 14; i = c + 17; b = 2. If b = 2, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = x + 12 to i, which gives i = x + 29.\n2. Substitute x = j + 1 to i, which gives i = j + 30.\n3. Substitute j = w + 10 to i, which gives i = w + 40.\n4. Substitute w = l + 11 to i, which gives i = l + 51.\n5. Substitute l = b + 5 to i, which gives i = b + 56.\n6. Substitute b = 2 to i, which gives i = 58.\n\nThus, the final answer is i = \\boxed{58}.",
"index": 879,
"question": "Consider a system of variables where each variable is defined as follows: x = j + 1; f = d + 19; w = l + 11; q = s + 3; j = w + 10; l = b + 5; s = u + 15; d = y + 4; c = x + 12; u = b + 2; y = q + 14; i = c + 17; b = 2. If b = 2, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"s": "h + 20", "p": "s + 20", "o": "p + 12", "j": "o + 13", "e": "j + 17", "z": "e + 3", "b": "h + 16", "g": "b + 10", "n": "g + 9", "d": "n + 17", "a": "d + 4", "y": "a + 15", "h": 3}, "premises": {"h": 3}, "target": "z"}, "answer": {"steps": [["e", "j + 17", "j + 20"], ["j", "o + 13", "o + 33"], ["o", "p + 12", "p + 45"], ["p", "s + 20", "s + 65"], ["s", "h + 20", "h + 85"], ["h", 3, "88"]], "target_var_name": "z", "target_value": 88, "value_dict": {"h": 3}, "is_reverse": true}}
| 880
| 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 = h + 20; b = h + 16; y = a + 15; e = j + 17; a = d + 4; d = n + 17; o = p + 12; z = e + 3; h = 3; p = s + 20; g = b + 10; j = o + 13; n = g + 9. If h = 3, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = j + 17 to z, which gives z = j + 20.\n2. Substitute j = o + 13 to z, which gives z = o + 33.\n3. Substitute o = p + 12 to z, which gives z = p + 45.\n4. Substitute p = s + 20 to z, which gives z = s + 65.\n5. Substitute s = h + 20 to z, which gives z = h + 85.\n6. Substitute h = 3 to z, which gives z = 88.\n\nThus, the final answer is z = \\boxed{88}.",
"index": 880,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = h + 20; b = h + 16; y = a + 15; e = j + 17; a = d + 4; d = n + 17; o = p + 12; z = e + 3; h = 3; p = s + 20; g = b + 10; j = o + 13; n = g + 9. If h = 3, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"f": "m + 19", "n": "f + 7", "g": "n + 8", "j": "g + 17", "s": "j + 19", "d": "s + 14", "u": "m + 17", "x": "u + 2", "r": "x + 2", "o": "r + 19", "a": "o + 12", "e": "a + 4", "m": 4}, "premises": {"m": 4}, "target": "d"}, "answer": {"steps": [["s", "j + 19", "j + 33"], ["j", "g + 17", "g + 50"], ["g", "n + 8", "n + 58"], ["n", "f + 7", "f + 65"], ["f", "m + 19", "m + 84"], ["m", 4, "88"]], "target_var_name": "d", "target_value": 88, "value_dict": {"m": 4}, "is_reverse": true}}
| 881
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = g + 17; u = m + 17; m = 4; o = r + 19; x = u + 2; g = n + 8; s = j + 19; n = f + 7; e = a + 4; r = x + 2; f = m + 19; a = o + 12; d = s + 14. If m = 4, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = j + 19 to d, which gives d = j + 33.\n2. Substitute j = g + 17 to d, which gives d = g + 50.\n3. Substitute g = n + 8 to d, which gives d = n + 58.\n4. Substitute n = f + 7 to d, which gives d = f + 65.\n5. Substitute f = m + 19 to d, which gives d = m + 84.\n6. Substitute m = 4 to d, which gives d = 88.\n\nThus, the final answer is d = \\boxed{88}.",
"index": 881,
"question": "Consider a system of variables where each variable is defined as follows: j = g + 17; u = m + 17; m = 4; o = r + 19; x = u + 2; g = n + 8; s = j + 19; n = f + 7; e = a + 4; r = x + 2; f = m + 19; a = o + 12; d = s + 14. If m = 4, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"v": "u + 3", "o": "v + 9", "p": "o + 4", "r": "p + 6", "h": "r + 11", "s": "h + 4", "b": "u + 6", "f": "b + 15", "n": "f + 12", "g": "n + 7", "i": "g + 8", "d": "i + 19", "u": 16}, "premises": {"u": 16}, "target": "s"}, "answer": {"steps": [["h", "r + 11", "r + 15"], ["r", "p + 6", "p + 21"], ["p", "o + 4", "o + 25"], ["o", "v + 9", "v + 34"], ["v", "u + 3", "u + 37"], ["u", 16, "53"]], "target_var_name": "s", "target_value": 53, "value_dict": {"u": 16}, "is_reverse": true}}
| 882
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = o + 4; s = h + 4; b = u + 6; r = p + 6; g = n + 7; o = v + 9; h = r + 11; i = g + 8; v = u + 3; u = 16; n = f + 12; f = b + 15; d = i + 19. Given that u = 16, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = r + 11 to s, which gives s = r + 15.\n2. Substitute r = p + 6 to s, which gives s = p + 21.\n3. Substitute p = o + 4 to s, which gives s = o + 25.\n4. Substitute o = v + 9 to s, which gives s = v + 34.\n5. Substitute v = u + 3 to s, which gives s = u + 37.\n6. Substitute u = 16 to s, which gives s = 53.\n\nThus, the final answer is s = \\boxed{53}.",
"index": 882,
"question": "Suppose a collection of variables is related by the following definitions: p = o + 4; s = h + 4; b = u + 6; r = p + 6; g = n + 7; o = v + 9; h = r + 11; i = g + 8; v = u + 3; u = 16; n = f + 12; f = b + 15; d = i + 19. Given that u = 16, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"z": "i + 8", "y": "z + 5", "n": "y + 6", "h": "n + 6", "q": "h + 6", "c": "q + 13", "g": "i + 13", "l": "g + 15", "p": "l + 10", "e": "p + 5", "v": "e + 15", "s": "v + 5", "i": 10}, "premises": {"i": 10}, "target": "c"}, "answer": {"steps": [["q", "h + 6", "h + 19"], ["h", "n + 6", "n + 25"], ["n", "y + 6", "y + 31"], ["y", "z + 5", "z + 36"], ["z", "i + 8", "i + 44"], ["i", 10, "54"]], "target_var_name": "c", "target_value": 54, "value_dict": {"i": 10}, "is_reverse": true}}
| 883
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = n + 6; e = p + 5; g = i + 13; c = q + 13; s = v + 5; z = i + 8; q = h + 6; y = z + 5; v = e + 15; i = 10; p = l + 10; l = g + 15; n = y + 6. Given that i = 10, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = h + 6 to c, which gives c = h + 19.\n2. Substitute h = n + 6 to c, which gives c = n + 25.\n3. Substitute n = y + 6 to c, which gives c = y + 31.\n4. Substitute y = z + 5 to c, which gives c = z + 36.\n5. Substitute z = i + 8 to c, which gives c = i + 44.\n6. Substitute i = 10 to c, which gives c = 54.\n\nThus, the final answer is c = \\boxed{54}.",
"index": 883,
"question": "Suppose a collection of variables is related by the following definitions: h = n + 6; e = p + 5; g = i + 13; c = q + 13; s = v + 5; z = i + 8; q = h + 6; y = z + 5; v = e + 15; i = 10; p = l + 10; l = g + 15; n = y + 6. Given that i = 10, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"s": "n + 14", "z": "s + 6", "d": "z + 10", "k": "d + 3", "a": "k + 18", "u": "a + 14", "b": "n + 5", "q": "b + 8", "c": "q + 6", "e": "c + 8", "h": "e + 17", "w": "h + 17", "n": 17}, "premises": {"n": 17}, "target": "u"}, "answer": {"steps": [["a", "k + 18", "k + 32"], ["k", "d + 3", "d + 35"], ["d", "z + 10", "z + 45"], ["z", "s + 6", "s + 51"], ["s", "n + 14", "n + 65"], ["n", 17, "82"]], "target_var_name": "u", "target_value": 82, "value_dict": {"n": 17}, "is_reverse": true}}
| 884
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = s + 6; e = c + 8; w = h + 17; s = n + 14; d = z + 10; h = e + 17; u = a + 14; q = b + 8; n = 17; k = d + 3; b = n + 5; a = k + 18; c = q + 6. If n = 17, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = k + 18 to u, which gives u = k + 32.\n2. Substitute k = d + 3 to u, which gives u = d + 35.\n3. Substitute d = z + 10 to u, which gives u = z + 45.\n4. Substitute z = s + 6 to u, which gives u = s + 51.\n5. Substitute s = n + 14 to u, which gives u = n + 65.\n6. Substitute n = 17 to u, which gives u = 82.\n\nThus, the final answer is u = \\boxed{82}.",
"index": 884,
"question": "Consider a system of variables where each variable is defined as follows: z = s + 6; e = c + 8; w = h + 17; s = n + 14; d = z + 10; h = e + 17; u = a + 14; q = b + 8; n = 17; k = d + 3; b = n + 5; a = k + 18; c = q + 6. If n = 17, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"p": "x + 10", "r": "p + 10", "h": "r + 14", "b": "h + 13", "e": "b + 17", "t": "e + 6", "o": "x + 10", "j": "o + 9", "i": "j + 15", "l": "i + 14", "k": "l + 7", "m": "k + 6", "x": 1}, "premises": {"x": 1}, "target": "t"}, "answer": {"steps": [["e", "b + 17", "b + 23"], ["b", "h + 13", "h + 36"], ["h", "r + 14", "r + 50"], ["r", "p + 10", "p + 60"], ["p", "x + 10", "x + 70"], ["x", 1, "71"]], "target_var_name": "t", "target_value": 71, "value_dict": {"x": 1}, "is_reverse": true}}
| 885
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = x + 10; h = r + 14; k = l + 7; o = x + 10; l = i + 14; i = j + 15; x = 1; e = b + 17; r = p + 10; j = o + 9; m = k + 6; b = h + 13; t = e + 6. Given that x = 1, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = b + 17 to t, which gives t = b + 23.\n2. Substitute b = h + 13 to t, which gives t = h + 36.\n3. Substitute h = r + 14 to t, which gives t = r + 50.\n4. Substitute r = p + 10 to t, which gives t = p + 60.\n5. Substitute p = x + 10 to t, which gives t = x + 70.\n6. Substitute x = 1 to t, which gives t = 71.\n\nThus, the final answer is t = \\boxed{71}.",
"index": 885,
"question": "Suppose a collection of variables is related by the following definitions: p = x + 10; h = r + 14; k = l + 7; o = x + 10; l = i + 14; i = j + 15; x = 1; e = b + 17; r = p + 10; j = o + 9; m = k + 6; b = h + 13; t = e + 6. Given that x = 1, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"d": "k + 3", "c": "d + 8", "o": "c + 6", "g": "o + 13", "m": "g + 16", "u": "m + 1", "y": "k + 4", "s": "y + 20", "f": "s + 15", "h": "f + 5", "q": "h + 15", "r": "q + 13", "k": 4}, "premises": {"k": 4}, "target": "u"}, "answer": {"steps": [["m", "g + 16", "g + 17"], ["g", "o + 13", "o + 30"], ["o", "c + 6", "c + 36"], ["c", "d + 8", "d + 44"], ["d", "k + 3", "k + 47"], ["k", 4, "51"]], "target_var_name": "u", "target_value": 51, "value_dict": {"k": 4}, "is_reverse": true}}
| 886
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = q + 13; o = c + 6; k = 4; q = h + 15; d = k + 3; m = g + 16; h = f + 5; s = y + 20; y = k + 4; c = d + 8; g = o + 13; f = s + 15; u = m + 1. Given that k = 4, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = g + 16 to u, which gives u = g + 17.\n2. Substitute g = o + 13 to u, which gives u = o + 30.\n3. Substitute o = c + 6 to u, which gives u = c + 36.\n4. Substitute c = d + 8 to u, which gives u = d + 44.\n5. Substitute d = k + 3 to u, which gives u = k + 47.\n6. Substitute k = 4 to u, which gives u = 51.\n\nThus, the final answer is u = \\boxed{51}.",
"index": 886,
"question": "Suppose a collection of variables is related by the following definitions: r = q + 13; o = c + 6; k = 4; q = h + 15; d = k + 3; m = g + 16; h = f + 5; s = y + 20; y = k + 4; c = d + 8; g = o + 13; f = s + 15; u = m + 1. Given that k = 4, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"t": "r + 16", "d": "t + 2", "i": "d + 2", "w": "i + 9", "y": "w + 13", "f": "y + 7", "u": "r + 19", "b": "u + 5", "e": "b + 3", "n": "e + 8", "g": "n + 7", "v": "g + 11", "r": 20}, "premises": {"r": 20}, "target": "f"}, "answer": {"steps": [["y", "w + 13", "w + 20"], ["w", "i + 9", "i + 29"], ["i", "d + 2", "d + 31"], ["d", "t + 2", "t + 33"], ["t", "r + 16", "r + 49"], ["r", 20, "69"]], "target_var_name": "f", "target_value": 69, "value_dict": {"r": 20}, "is_reverse": true}}
| 887
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = w + 13; g = n + 7; b = u + 5; n = e + 8; w = i + 9; f = y + 7; t = r + 16; r = 20; d = t + 2; i = d + 2; u = r + 19; v = g + 11; e = b + 3. Given that r = 20, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = w + 13 to f, which gives f = w + 20.\n2. Substitute w = i + 9 to f, which gives f = i + 29.\n3. Substitute i = d + 2 to f, which gives f = d + 31.\n4. Substitute d = t + 2 to f, which gives f = t + 33.\n5. Substitute t = r + 16 to f, which gives f = r + 49.\n6. Substitute r = 20 to f, which gives f = 69.\n\nThus, the final answer is f = \\boxed{69}.",
"index": 887,
"question": "Suppose a collection of variables is related by the following definitions: y = w + 13; g = n + 7; b = u + 5; n = e + 8; w = i + 9; f = y + 7; t = r + 16; r = 20; d = t + 2; i = d + 2; u = r + 19; v = g + 11; e = b + 3. Given that r = 20, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"e": "w + 3", "h": "e + 11", "v": "h + 12", "m": "v + 5", "c": "m + 12", "q": "c + 18", "s": "w + 5", "z": "s + 13", "p": "z + 12", "a": "p + 19", "n": "a + 16", "t": "n + 16", "w": 1}, "premises": {"w": 1}, "target": "q"}, "answer": {"steps": [["c", "m + 12", "m + 30"], ["m", "v + 5", "v + 35"], ["v", "h + 12", "h + 47"], ["h", "e + 11", "e + 58"], ["e", "w + 3", "w + 61"], ["w", 1, "62"]], "target_var_name": "q", "target_value": 62, "value_dict": {"w": 1}, "is_reverse": true}}
| 888
| 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 = n + 16; v = h + 12; w = 1; n = a + 16; z = s + 13; c = m + 12; q = c + 18; p = z + 12; e = w + 3; h = e + 11; s = w + 5; m = v + 5; a = p + 19. If w = 1, 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 c = m + 12 to q, which gives q = m + 30.\n2. Substitute m = v + 5 to q, which gives q = v + 35.\n3. Substitute v = h + 12 to q, which gives q = h + 47.\n4. Substitute h = e + 11 to q, which gives q = e + 58.\n5. Substitute e = w + 3 to q, which gives q = w + 61.\n6. Substitute w = 1 to q, which gives q = 62.\n\nThus, the final answer is q = \\boxed{62}.",
"index": 888,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = n + 16; v = h + 12; w = 1; n = a + 16; z = s + 13; c = m + 12; q = c + 18; p = z + 12; e = w + 3; h = e + 11; s = w + 5; m = v + 5; a = p + 19. If w = 1, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"s": "w + 20", "b": "s + 4", "j": "b + 18", "i": "j + 2", "a": "i + 2", "t": "a + 2", "g": "w + 13", "q": "g + 4", "k": "q + 7", "h": "k + 12", "p": "h + 2", "o": "p + 9", "w": 17}, "premises": {"w": 17}, "target": "t"}, "answer": {"steps": [["a", "i + 2", "i + 4"], ["i", "j + 2", "j + 6"], ["j", "b + 18", "b + 24"], ["b", "s + 4", "s + 28"], ["s", "w + 20", "w + 48"], ["w", 17, "65"]], "target_var_name": "t", "target_value": 65, "value_dict": {"w": 17}, "is_reverse": true}}
| 889
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = g + 4; k = q + 7; j = b + 18; o = p + 9; p = h + 2; a = i + 2; t = a + 2; w = 17; i = j + 2; s = w + 20; b = s + 4; g = w + 13; h = k + 12. If w = 17, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = i + 2 to t, which gives t = i + 4.\n2. Substitute i = j + 2 to t, which gives t = j + 6.\n3. Substitute j = b + 18 to t, which gives t = b + 24.\n4. Substitute b = s + 4 to t, which gives t = s + 28.\n5. Substitute s = w + 20 to t, which gives t = w + 48.\n6. Substitute w = 17 to t, which gives t = 65.\n\nThus, the final answer is t = \\boxed{65}.",
"index": 889,
"question": "Consider a system of variables where each variable is defined as follows: q = g + 4; k = q + 7; j = b + 18; o = p + 9; p = h + 2; a = i + 2; t = a + 2; w = 17; i = j + 2; s = w + 20; b = s + 4; g = w + 13; h = k + 12. If w = 17, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"l": "b + 15", "w": "l + 2", "f": "w + 2", "n": "f + 6", "m": "n + 18", "d": "m + 5", "y": "b + 5", "t": "y + 11", "v": "t + 12", "k": "v + 17", "e": "k + 17", "u": "e + 16", "b": 5}, "premises": {"b": 5}, "target": "d"}, "answer": {"steps": [["m", "n + 18", "n + 23"], ["n", "f + 6", "f + 29"], ["f", "w + 2", "w + 31"], ["w", "l + 2", "l + 33"], ["l", "b + 15", "b + 48"], ["b", 5, "53"]], "target_var_name": "d", "target_value": 53, "value_dict": {"b": 5}, "is_reverse": true}}
| 890
| 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 = n + 18; v = t + 12; u = e + 16; t = y + 11; b = 5; n = f + 6; f = w + 2; d = m + 5; y = b + 5; w = l + 2; e = k + 17; k = v + 17; l = b + 15. If b = 5, what is the resulting 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 m = n + 18 to d, which gives d = n + 23.\n2. Substitute n = f + 6 to d, which gives d = f + 29.\n3. Substitute f = w + 2 to d, which gives d = w + 31.\n4. Substitute w = l + 2 to d, which gives d = l + 33.\n5. Substitute l = b + 15 to d, which gives d = b + 48.\n6. Substitute b = 5 to d, which gives d = 53.\n\nThus, the final answer is d = \\boxed{53}.",
"index": 890,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = n + 18; v = t + 12; u = e + 16; t = y + 11; b = 5; n = f + 6; f = w + 2; d = m + 5; y = b + 5; w = l + 2; e = k + 17; k = v + 17; l = b + 15. If b = 5, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"j": "s + 8", "h": "j + 15", "z": "h + 19", "i": "z + 19", "b": "i + 15", "u": "b + 6", "w": "s + 13", "g": "w + 8", "k": "g + 18", "f": "k + 2", "y": "f + 13", "r": "y + 17", "s": 8}, "premises": {"s": 8}, "target": "u"}, "answer": {"steps": [["b", "i + 15", "i + 21"], ["i", "z + 19", "z + 40"], ["z", "h + 19", "h + 59"], ["h", "j + 15", "j + 74"], ["j", "s + 8", "s + 82"], ["s", 8, "90"]], "target_var_name": "u", "target_value": 90, "value_dict": {"s": 8}, "is_reverse": true}}
| 891
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = s + 8; u = b + 6; y = f + 13; s = 8; i = z + 19; r = y + 17; g = w + 8; w = s + 13; z = h + 19; f = k + 2; h = j + 15; k = g + 18; b = i + 15. Given that s = 8, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = i + 15 to u, which gives u = i + 21.\n2. Substitute i = z + 19 to u, which gives u = z + 40.\n3. Substitute z = h + 19 to u, which gives u = h + 59.\n4. Substitute h = j + 15 to u, which gives u = j + 74.\n5. Substitute j = s + 8 to u, which gives u = s + 82.\n6. Substitute s = 8 to u, which gives u = 90.\n\nThus, the final answer is u = \\boxed{90}.",
"index": 891,
"question": "Suppose a collection of variables is related by the following definitions: j = s + 8; u = b + 6; y = f + 13; s = 8; i = z + 19; r = y + 17; g = w + 8; w = s + 13; z = h + 19; f = k + 2; h = j + 15; k = g + 18; b = i + 15. Given that s = 8, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"g": "a + 6", "w": "g + 8", "r": "w + 18", "s": "r + 6", "q": "s + 3", "e": "q + 15", "t": "a + 10", "c": "t + 19", "v": "c + 11", "n": "v + 3", "d": "n + 8", "x": "d + 7", "a": 18}, "premises": {"a": 18}, "target": "e"}, "answer": {"steps": [["q", "s + 3", "s + 18"], ["s", "r + 6", "r + 24"], ["r", "w + 18", "w + 42"], ["w", "g + 8", "g + 50"], ["g", "a + 6", "a + 56"], ["a", 18, "74"]], "target_var_name": "e", "target_value": 74, "value_dict": {"a": 18}, "is_reverse": true}}
| 892
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = g + 8; s = r + 6; x = d + 7; d = n + 8; a = 18; e = q + 15; t = a + 10; v = c + 11; g = a + 6; q = s + 3; c = t + 19; n = v + 3; r = w + 18. If a = 18, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = s + 3 to e, which gives e = s + 18.\n2. Substitute s = r + 6 to e, which gives e = r + 24.\n3. Substitute r = w + 18 to e, which gives e = w + 42.\n4. Substitute w = g + 8 to e, which gives e = g + 50.\n5. Substitute g = a + 6 to e, which gives e = a + 56.\n6. Substitute a = 18 to e, which gives e = 74.\n\nThus, the final answer is e = \\boxed{74}.",
"index": 892,
"question": "Consider a system of variables where each variable is defined as follows: w = g + 8; s = r + 6; x = d + 7; d = n + 8; a = 18; e = q + 15; t = a + 10; v = c + 11; g = a + 6; q = s + 3; c = t + 19; n = v + 3; r = w + 18. If a = 18, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"f": "d + 3", "q": "f + 13", "l": "q + 2", "s": "l + 16", "v": "s + 12", "e": "v + 7", "t": "d + 18", "u": "t + 9", "z": "u + 3", "o": "z + 1", "a": "o + 5", "p": "a + 13", "d": 12}, "premises": {"d": 12}, "target": "e"}, "answer": {"steps": [["v", "s + 12", "s + 19"], ["s", "l + 16", "l + 35"], ["l", "q + 2", "q + 37"], ["q", "f + 13", "f + 50"], ["f", "d + 3", "d + 53"], ["d", 12, "65"]], "target_var_name": "e", "target_value": 65, "value_dict": {"d": 12}, "is_reverse": true}}
| 893
| 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 = d + 18; u = t + 9; q = f + 13; s = l + 16; l = q + 2; d = 12; p = a + 13; a = o + 5; v = s + 12; e = v + 7; z = u + 3; o = z + 1; f = d + 3. If d = 12, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = s + 12 to e, which gives e = s + 19.\n2. Substitute s = l + 16 to e, which gives e = l + 35.\n3. Substitute l = q + 2 to e, which gives e = q + 37.\n4. Substitute q = f + 13 to e, which gives e = f + 50.\n5. Substitute f = d + 3 to e, which gives e = d + 53.\n6. Substitute d = 12 to e, which gives e = 65.\n\nThus, the final answer is e = \\boxed{65}.",
"index": 893,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = d + 18; u = t + 9; q = f + 13; s = l + 16; l = q + 2; d = 12; p = a + 13; a = o + 5; v = s + 12; e = v + 7; z = u + 3; o = z + 1; f = d + 3. If d = 12, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"x": "b + 8", "q": "x + 9", "m": "q + 5", "u": "m + 11", "z": "u + 4", "f": "z + 1", "a": "b + 2", "v": "a + 6", "i": "v + 8", "r": "i + 17", "e": "r + 1", "s": "e + 8", "b": 6}, "premises": {"b": 6}, "target": "f"}, "answer": {"steps": [["z", "u + 4", "u + 5"], ["u", "m + 11", "m + 16"], ["m", "q + 5", "q + 21"], ["q", "x + 9", "x + 30"], ["x", "b + 8", "b + 38"], ["b", 6, "44"]], "target_var_name": "f", "target_value": 44, "value_dict": {"b": 6}, "is_reverse": true}}
| 894
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = q + 5; e = r + 1; i = v + 8; u = m + 11; v = a + 6; x = b + 8; q = x + 9; r = i + 17; b = 6; s = e + 8; z = u + 4; f = z + 1; a = b + 2. If b = 6, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 44,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = u + 4 to f, which gives f = u + 5.\n2. Substitute u = m + 11 to f, which gives f = m + 16.\n3. Substitute m = q + 5 to f, which gives f = q + 21.\n4. Substitute q = x + 9 to f, which gives f = x + 30.\n5. Substitute x = b + 8 to f, which gives f = b + 38.\n6. Substitute b = 6 to f, which gives f = 44.\n\nThus, the final answer is f = \\boxed{44}.",
"index": 894,
"question": "Consider a system of variables where each variable is defined as follows: m = q + 5; e = r + 1; i = v + 8; u = m + 11; v = a + 6; x = b + 8; q = x + 9; r = i + 17; b = 6; s = e + 8; z = u + 4; f = z + 1; a = b + 2. If b = 6, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"q": "x + 20", "p": "q + 8", "v": "p + 11", "l": "v + 20", "k": "l + 15", "t": "k + 10", "g": "x + 15", "n": "g + 19", "m": "n + 19", "c": "m + 11", "o": "c + 12", "u": "o + 13", "x": 5}, "premises": {"x": 5}, "target": "t"}, "answer": {"steps": [["k", "l + 15", "l + 25"], ["l", "v + 20", "v + 45"], ["v", "p + 11", "p + 56"], ["p", "q + 8", "q + 64"], ["q", "x + 20", "x + 84"], ["x", 5, "89"]], "target_var_name": "t", "target_value": 89, "value_dict": {"x": 5}, "is_reverse": true}}
| 895
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = q + 8; g = x + 15; t = k + 10; u = o + 13; l = v + 20; q = x + 20; k = l + 15; x = 5; v = p + 11; c = m + 11; n = g + 19; o = c + 12; m = n + 19. If x = 5, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = l + 15 to t, which gives t = l + 25.\n2. Substitute l = v + 20 to t, which gives t = v + 45.\n3. Substitute v = p + 11 to t, which gives t = p + 56.\n4. Substitute p = q + 8 to t, which gives t = q + 64.\n5. Substitute q = x + 20 to t, which gives t = x + 84.\n6. Substitute x = 5 to t, which gives t = 89.\n\nThus, the final answer is t = \\boxed{89}.",
"index": 895,
"question": "Consider a system of variables where each variable is defined as follows: p = q + 8; g = x + 15; t = k + 10; u = o + 13; l = v + 20; q = x + 20; k = l + 15; x = 5; v = p + 11; c = m + 11; n = g + 19; o = c + 12; m = n + 19. If x = 5, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"t": "f + 19", "q": "t + 2", "d": "q + 1", "p": "d + 9", "e": "p + 4", "l": "e + 9", "k": "f + 13", "r": "k + 4", "x": "r + 11", "i": "x + 7", "o": "i + 20", "n": "o + 18", "f": 11}, "premises": {"f": 11}, "target": "l"}, "answer": {"steps": [["e", "p + 4", "p + 13"], ["p", "d + 9", "d + 22"], ["d", "q + 1", "q + 23"], ["q", "t + 2", "t + 25"], ["t", "f + 19", "f + 44"], ["f", 11, "55"]], "target_var_name": "l", "target_value": 55, "value_dict": {"f": 11}, "is_reverse": true}}
| 896
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = t + 2; x = r + 11; e = p + 4; n = o + 18; r = k + 4; t = f + 19; d = q + 1; f = 11; p = d + 9; k = f + 13; i = x + 7; o = i + 20; l = e + 9. If f = 11, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = p + 4 to l, which gives l = p + 13.\n2. Substitute p = d + 9 to l, which gives l = d + 22.\n3. Substitute d = q + 1 to l, which gives l = q + 23.\n4. Substitute q = t + 2 to l, which gives l = t + 25.\n5. Substitute t = f + 19 to l, which gives l = f + 44.\n6. Substitute f = 11 to l, which gives l = 55.\n\nThus, the final answer is l = \\boxed{55}.",
"index": 896,
"question": "Consider a system of variables where each variable is defined as follows: q = t + 2; x = r + 11; e = p + 4; n = o + 18; r = k + 4; t = f + 19; d = q + 1; f = 11; p = d + 9; k = f + 13; i = x + 7; o = i + 20; l = e + 9. If f = 11, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"m": "y + 3", "v": "m + 5", "a": "v + 7", "u": "a + 10", "s": "u + 20", "z": "s + 17", "j": "y + 4", "c": "j + 1", "i": "c + 2", "o": "i + 14", "g": "o + 9", "p": "g + 12", "y": 8}, "premises": {"y": 8}, "target": "z"}, "answer": {"steps": [["s", "u + 20", "u + 37"], ["u", "a + 10", "a + 47"], ["a", "v + 7", "v + 54"], ["v", "m + 5", "m + 59"], ["m", "y + 3", "y + 62"], ["y", 8, "70"]], "target_var_name": "z", "target_value": 70, "value_dict": {"y": 8}, "is_reverse": true}}
| 897
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = s + 17; v = m + 5; u = a + 10; a = v + 7; y = 8; c = j + 1; m = y + 3; s = u + 20; p = g + 12; i = c + 2; o = i + 14; j = y + 4; g = o + 9. If y = 8, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = u + 20 to z, which gives z = u + 37.\n2. Substitute u = a + 10 to z, which gives z = a + 47.\n3. Substitute a = v + 7 to z, which gives z = v + 54.\n4. Substitute v = m + 5 to z, which gives z = m + 59.\n5. Substitute m = y + 3 to z, which gives z = y + 62.\n6. Substitute y = 8 to z, which gives z = 70.\n\nThus, the final answer is z = \\boxed{70}.",
"index": 897,
"question": "Consider a system of variables where each variable is defined as follows: z = s + 17; v = m + 5; u = a + 10; a = v + 7; y = 8; c = j + 1; m = y + 3; s = u + 20; p = g + 12; i = c + 2; o = i + 14; j = y + 4; g = o + 9. If y = 8, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"x": "c + 5", "r": "x + 1", "u": "r + 6", "p": "u + 1", "j": "p + 11", "m": "j + 6", "d": "c + 12", "b": "d + 6", "v": "b + 16", "o": "v + 19", "t": "o + 12", "a": "t + 1", "c": 4}, "premises": {"c": 4}, "target": "m"}, "answer": {"steps": [["j", "p + 11", "p + 17"], ["p", "u + 1", "u + 18"], ["u", "r + 6", "r + 24"], ["r", "x + 1", "x + 25"], ["x", "c + 5", "c + 30"], ["c", 4, "34"]], "target_var_name": "m", "target_value": 34, "value_dict": {"c": 4}, "is_reverse": true}}
| 898
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = t + 1; r = x + 1; o = v + 19; b = d + 6; p = u + 1; v = b + 16; d = c + 12; x = c + 5; t = o + 12; m = j + 6; j = p + 11; u = r + 6; c = 4. If c = 4, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 34,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = p + 11 to m, which gives m = p + 17.\n2. Substitute p = u + 1 to m, which gives m = u + 18.\n3. Substitute u = r + 6 to m, which gives m = r + 24.\n4. Substitute r = x + 1 to m, which gives m = x + 25.\n5. Substitute x = c + 5 to m, which gives m = c + 30.\n6. Substitute c = 4 to m, which gives m = 34.\n\nThus, the final answer is m = \\boxed{34}.",
"index": 898,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = t + 1; r = x + 1; o = v + 19; b = d + 6; p = u + 1; v = b + 16; d = c + 12; x = c + 5; t = o + 12; m = j + 6; j = p + 11; u = r + 6; c = 4. If c = 4, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"l": "f + 3", "j": "l + 20", "e": "j + 12", "k": "e + 18", "m": "k + 3", "w": "m + 14", "y": "f + 11", "u": "y + 6", "a": "u + 13", "v": "a + 17", "i": "v + 1", "d": "i + 2", "f": 12}, "premises": {"f": 12}, "target": "w"}, "answer": {"steps": [["m", "k + 3", "k + 17"], ["k", "e + 18", "e + 35"], ["e", "j + 12", "j + 47"], ["j", "l + 20", "l + 67"], ["l", "f + 3", "f + 70"], ["f", 12, "82"]], "target_var_name": "w", "target_value": 82, "value_dict": {"f": 12}, "is_reverse": true}}
| 899
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = f + 11; w = m + 14; u = y + 6; i = v + 1; f = 12; v = a + 17; l = f + 3; m = k + 3; e = j + 12; k = e + 18; a = u + 13; d = i + 2; j = l + 20. If f = 12, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = k + 3 to w, which gives w = k + 17.\n2. Substitute k = e + 18 to w, which gives w = e + 35.\n3. Substitute e = j + 12 to w, which gives w = j + 47.\n4. Substitute j = l + 20 to w, which gives w = l + 67.\n5. Substitute l = f + 3 to w, which gives w = f + 70.\n6. Substitute f = 12 to w, which gives w = 82.\n\nThus, the final answer is w = \\boxed{82}.",
"index": 899,
"question": "Consider a system of variables where each variable is defined as follows: y = f + 11; w = m + 14; u = y + 6; i = v + 1; f = 12; v = a + 17; l = f + 3; m = k + 3; e = j + 12; k = e + 18; a = u + 13; d = i + 2; j = l + 20. If f = 12, determine the value of w.",
"split": "train"
}
|
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