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25.6k
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stringclasses 1
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listlengths 1
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stringclasses 1
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dict | extra_info
dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"w": "x + 5", "k": "w + 9", "f": "k + 5", "m": "f + 12", "s": "m + 2", "z": "s + 10", "y": "x + 19", "v": "y + 15", "l": "v + 18", "o": "l + 6", "u": "o + 1", "e": "u + 1", "x": 2}, "premises": {"x": 2}, "target": "z"}, "answer": {"steps": [["s", "m + 2", "m + 12"], ["m", "f + 12", "f + 24"], ["f", "k + 5", "k + 29"], ["k", "w + 9", "w + 38"], ["w", "x + 5", "x + 43"], ["x", 2, "45"]], "target_var_name": "z", "target_value": 45, "value_dict": {"x": 2}, "is_reverse": true}}
| 3,100
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = l + 6; l = v + 18; k = w + 9; v = y + 15; y = x + 19; e = u + 1; m = f + 12; f = k + 5; x = 2; w = x + 5; s = m + 2; u = o + 1; z = s + 10. If x = 2, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 45,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = m + 2 to z, which gives z = m + 12.\n2. Substitute m = f + 12 to z, which gives z = f + 24.\n3. Substitute f = k + 5 to z, which gives z = k + 29.\n4. Substitute k = w + 9 to z, which gives z = w + 38.\n5. Substitute w = x + 5 to z, which gives z = x + 43.\n6. Substitute x = 2 to z, which gives z = 45.\n\nThus, the final answer is z = \\boxed{45}.",
"index": 3100,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = l + 6; l = v + 18; k = w + 9; v = y + 15; y = x + 19; e = u + 1; m = f + 12; f = k + 5; x = 2; w = x + 5; s = m + 2; u = o + 1; z = s + 10. If x = 2, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"h": "l + 13", "u": "h + 13", "m": "u + 20", "c": "m + 15", "z": "c + 17", "r": "z + 15", "s": "l + 6", "e": "s + 14", "a": "e + 11", "w": "a + 16", "j": "w + 19", "x": "j + 17", "l": 8}, "premises": {"l": 8}, "target": "r"}, "answer": {"steps": [["z", "c + 17", "c + 32"], ["c", "m + 15", "m + 47"], ["m", "u + 20", "u + 67"], ["u", "h + 13", "h + 80"], ["h", "l + 13", "l + 93"], ["l", 8, "101"]], "target_var_name": "r", "target_value": 101, "value_dict": {"l": 8}, "is_reverse": true}}
| 3,101
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = l + 6; a = e + 11; u = h + 13; z = c + 17; l = 8; x = j + 17; c = m + 15; j = w + 19; m = u + 20; r = z + 15; w = a + 16; h = l + 13; e = s + 14. If l = 8, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 101,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = c + 17 to r, which gives r = c + 32.\n2. Substitute c = m + 15 to r, which gives r = m + 47.\n3. Substitute m = u + 20 to r, which gives r = u + 67.\n4. Substitute u = h + 13 to r, which gives r = h + 80.\n5. Substitute h = l + 13 to r, which gives r = l + 93.\n6. Substitute l = 8 to r, which gives r = 101.\n\nThus, the final answer is r = \\boxed{101}.",
"index": 3101,
"question": "Consider a system of variables where each variable is defined as follows: s = l + 6; a = e + 11; u = h + 13; z = c + 17; l = 8; x = j + 17; c = m + 15; j = w + 19; m = u + 20; r = z + 15; w = a + 16; h = l + 13; e = s + 14. If l = 8, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"m": "k + 14", "y": "m + 20", "i": "y + 7", "g": "i + 14", "w": "g + 7", "v": "w + 8", "h": "k + 10", "p": "h + 7", "f": "p + 4", "z": "f + 17", "r": "z + 19", "n": "r + 18", "k": 4}, "premises": {"k": 4}, "target": "v"}, "answer": {"steps": [["w", "g + 7", "g + 15"], ["g", "i + 14", "i + 29"], ["i", "y + 7", "y + 36"], ["y", "m + 20", "m + 56"], ["m", "k + 14", "k + 70"], ["k", 4, "74"]], "target_var_name": "v", "target_value": 74, "value_dict": {"k": 4}, "is_reverse": true}}
| 3,102
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = k + 14; f = p + 4; p = h + 7; g = i + 14; i = y + 7; v = w + 8; y = m + 20; r = z + 19; n = r + 18; h = k + 10; w = g + 7; z = f + 17; k = 4. If k = 4, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = g + 7 to v, which gives v = g + 15.\n2. Substitute g = i + 14 to v, which gives v = i + 29.\n3. Substitute i = y + 7 to v, which gives v = y + 36.\n4. Substitute y = m + 20 to v, which gives v = m + 56.\n5. Substitute m = k + 14 to v, which gives v = k + 70.\n6. Substitute k = 4 to v, which gives v = 74.\n\nThus, the final answer is v = \\boxed{74}.",
"index": 3102,
"question": "Consider a system of variables where each variable is defined as follows: m = k + 14; f = p + 4; p = h + 7; g = i + 14; i = y + 7; v = w + 8; y = m + 20; r = z + 19; n = r + 18; h = k + 10; w = g + 7; z = f + 17; k = 4. If k = 4, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"c": "q + 8", "g": "c + 3", "w": "g + 1", "p": "w + 14", "y": "p + 10", "b": "y + 14", "n": "q + 13", "x": "n + 11", "k": "x + 12", "e": "k + 10", "d": "e + 19", "l": "d + 4", "q": 16}, "premises": {"q": 16}, "target": "b"}, "answer": {"steps": [["y", "p + 10", "p + 24"], ["p", "w + 14", "w + 38"], ["w", "g + 1", "g + 39"], ["g", "c + 3", "c + 42"], ["c", "q + 8", "q + 50"], ["q", 16, "66"]], "target_var_name": "b", "target_value": 66, "value_dict": {"q": 16}, "is_reverse": true}}
| 3,103
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = n + 11; g = c + 3; w = g + 1; k = x + 12; d = e + 19; b = y + 14; y = p + 10; l = d + 4; c = q + 8; n = q + 13; p = w + 14; q = 16; e = k + 10. If q = 16, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = p + 10 to b, which gives b = p + 24.\n2. Substitute p = w + 14 to b, which gives b = w + 38.\n3. Substitute w = g + 1 to b, which gives b = g + 39.\n4. Substitute g = c + 3 to b, which gives b = c + 42.\n5. Substitute c = q + 8 to b, which gives b = q + 50.\n6. Substitute q = 16 to b, which gives b = 66.\n\nThus, the final answer is b = \\boxed{66}.",
"index": 3103,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = n + 11; g = c + 3; w = g + 1; k = x + 12; d = e + 19; b = y + 14; y = p + 10; l = d + 4; c = q + 8; n = q + 13; p = w + 14; q = 16; e = k + 10. If q = 16, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"k": "e + 6", "l": "k + 10", "d": "l + 11", "i": "d + 9", "b": "i + 14", "n": "b + 3", "z": "e + 20", "s": "z + 17", "r": "s + 10", "g": "r + 8", "x": "g + 8", "v": "x + 6", "e": 3}, "premises": {"e": 3}, "target": "n"}, "answer": {"steps": [["b", "i + 14", "i + 17"], ["i", "d + 9", "d + 26"], ["d", "l + 11", "l + 37"], ["l", "k + 10", "k + 47"], ["k", "e + 6", "e + 53"], ["e", 3, "56"]], "target_var_name": "n", "target_value": 56, "value_dict": {"e": 3}, "is_reverse": true}}
| 3,104
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = l + 11; i = d + 9; n = b + 3; l = k + 10; b = i + 14; k = e + 6; g = r + 8; x = g + 8; s = z + 17; r = s + 10; e = 3; v = x + 6; z = e + 20. Given that e = 3, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = i + 14 to n, which gives n = i + 17.\n2. Substitute i = d + 9 to n, which gives n = d + 26.\n3. Substitute d = l + 11 to n, which gives n = l + 37.\n4. Substitute l = k + 10 to n, which gives n = k + 47.\n5. Substitute k = e + 6 to n, which gives n = e + 53.\n6. Substitute e = 3 to n, which gives n = 56.\n\nThus, the final answer is n = \\boxed{56}.",
"index": 3104,
"question": "Suppose a collection of variables is related by the following definitions: d = l + 11; i = d + 9; n = b + 3; l = k + 10; b = i + 14; k = e + 6; g = r + 8; x = g + 8; s = z + 17; r = s + 10; e = 3; v = x + 6; z = e + 20. Given that e = 3, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"h": "x + 11", "j": "h + 12", "b": "j + 1", "n": "b + 16", "r": "n + 1", "e": "r + 3", "o": "x + 7", "t": "o + 18", "u": "t + 17", "g": "u + 16", "z": "g + 11", "k": "z + 9", "x": 4}, "premises": {"x": 4}, "target": "e"}, "answer": {"steps": [["r", "n + 1", "n + 4"], ["n", "b + 16", "b + 20"], ["b", "j + 1", "j + 21"], ["j", "h + 12", "h + 33"], ["h", "x + 11", "x + 44"], ["x", 4, "48"]], "target_var_name": "e", "target_value": 48, "value_dict": {"x": 4}, "is_reverse": true}}
| 3,105
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = z + 9; e = r + 3; u = t + 17; r = n + 1; n = b + 16; o = x + 7; j = h + 12; t = o + 18; x = 4; g = u + 16; z = g + 11; h = x + 11; b = j + 1. Given that x = 4, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 48,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = n + 1 to e, which gives e = n + 4.\n2. Substitute n = b + 16 to e, which gives e = b + 20.\n3. Substitute b = j + 1 to e, which gives e = j + 21.\n4. Substitute j = h + 12 to e, which gives e = h + 33.\n5. Substitute h = x + 11 to e, which gives e = x + 44.\n6. Substitute x = 4 to e, which gives e = 48.\n\nThus, the final answer is e = \\boxed{48}.",
"index": 3105,
"question": "Suppose a collection of variables is related by the following definitions: k = z + 9; e = r + 3; u = t + 17; r = n + 1; n = b + 16; o = x + 7; j = h + 12; t = o + 18; x = 4; g = u + 16; z = g + 11; h = x + 11; b = j + 1. Given that x = 4, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"p": "v + 9", "i": "p + 13", "t": "i + 7", "u": "t + 9", "w": "u + 5", "x": "w + 16", "l": "v + 17", "d": "l + 5", "a": "d + 4", "k": "a + 9", "b": "k + 2", "g": "b + 7", "v": 17}, "premises": {"v": 17}, "target": "x"}, "answer": {"steps": [["w", "u + 5", "u + 21"], ["u", "t + 9", "t + 30"], ["t", "i + 7", "i + 37"], ["i", "p + 13", "p + 50"], ["p", "v + 9", "v + 59"], ["v", 17, "76"]], "target_var_name": "x", "target_value": 76, "value_dict": {"v": 17}, "is_reverse": true}}
| 3,106
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = k + 2; w = u + 5; g = b + 7; a = d + 4; i = p + 13; d = l + 5; t = i + 7; v = 17; x = w + 16; u = t + 9; l = v + 17; p = v + 9; k = a + 9. If v = 17, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = u + 5 to x, which gives x = u + 21.\n2. Substitute u = t + 9 to x, which gives x = t + 30.\n3. Substitute t = i + 7 to x, which gives x = i + 37.\n4. Substitute i = p + 13 to x, which gives x = p + 50.\n5. Substitute p = v + 9 to x, which gives x = v + 59.\n6. Substitute v = 17 to x, which gives x = 76.\n\nThus, the final answer is x = \\boxed{76}.",
"index": 3106,
"question": "Consider a system of variables where each variable is defined as follows: b = k + 2; w = u + 5; g = b + 7; a = d + 4; i = p + 13; d = l + 5; t = i + 7; v = 17; x = w + 16; u = t + 9; l = v + 17; p = v + 9; k = a + 9. If v = 17, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"e": "r + 18", "u": "e + 11", "y": "u + 18", "x": "y + 12", "o": "x + 5", "b": "o + 5", "d": "r + 9", "j": "d + 6", "v": "j + 4", "l": "v + 13", "g": "l + 8", "a": "g + 9", "r": 13}, "premises": {"r": 13}, "target": "b"}, "answer": {"steps": [["o", "x + 5", "x + 10"], ["x", "y + 12", "y + 22"], ["y", "u + 18", "u + 40"], ["u", "e + 11", "e + 51"], ["e", "r + 18", "r + 69"], ["r", 13, "82"]], "target_var_name": "b", "target_value": 82, "value_dict": {"r": 13}, "is_reverse": true}}
| 3,107
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = y + 12; u = e + 11; y = u + 18; r = 13; l = v + 13; g = l + 8; v = j + 4; b = o + 5; o = x + 5; a = g + 9; j = d + 6; e = r + 18; d = r + 9. Given that r = 13, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = x + 5 to b, which gives b = x + 10.\n2. Substitute x = y + 12 to b, which gives b = y + 22.\n3. Substitute y = u + 18 to b, which gives b = u + 40.\n4. Substitute u = e + 11 to b, which gives b = e + 51.\n5. Substitute e = r + 18 to b, which gives b = r + 69.\n6. Substitute r = 13 to b, which gives b = 82.\n\nThus, the final answer is b = \\boxed{82}.",
"index": 3107,
"question": "Suppose a collection of variables is related by the following definitions: x = y + 12; u = e + 11; y = u + 18; r = 13; l = v + 13; g = l + 8; v = j + 4; b = o + 5; o = x + 5; a = g + 9; j = d + 6; e = r + 18; d = r + 9. Given that r = 13, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"t": "n + 2", "u": "t + 6", "r": "u + 6", "x": "r + 11", "b": "x + 8", "c": "b + 20", "h": "n + 10", "j": "h + 3", "g": "j + 18", "f": "g + 19", "m": "f + 8", "o": "m + 18", "n": 18}, "premises": {"n": 18}, "target": "c"}, "answer": {"steps": [["b", "x + 8", "x + 28"], ["x", "r + 11", "r + 39"], ["r", "u + 6", "u + 45"], ["u", "t + 6", "t + 51"], ["t", "n + 2", "n + 53"], ["n", 18, "71"]], "target_var_name": "c", "target_value": 71, "value_dict": {"n": 18}, "is_reverse": true}}
| 3,108
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = f + 8; c = b + 20; n = 18; o = m + 18; g = j + 18; u = t + 6; t = n + 2; x = r + 11; h = n + 10; b = x + 8; j = h + 3; f = g + 19; r = u + 6. Given that n = 18, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = x + 8 to c, which gives c = x + 28.\n2. Substitute x = r + 11 to c, which gives c = r + 39.\n3. Substitute r = u + 6 to c, which gives c = u + 45.\n4. Substitute u = t + 6 to c, which gives c = t + 51.\n5. Substitute t = n + 2 to c, which gives c = n + 53.\n6. Substitute n = 18 to c, which gives c = 71.\n\nThus, the final answer is c = \\boxed{71}.",
"index": 3108,
"question": "Suppose a collection of variables is related by the following definitions: m = f + 8; c = b + 20; n = 18; o = m + 18; g = j + 18; u = t + 6; t = n + 2; x = r + 11; h = n + 10; b = x + 8; j = h + 3; f = g + 19; r = u + 6. Given that n = 18, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"m": "z + 11", "u": "m + 5", "c": "u + 6", "q": "c + 13", "g": "q + 19", "w": "g + 9", "j": "z + 12", "n": "j + 4", "b": "n + 11", "f": "b + 10", "r": "f + 6", "e": "r + 18", "z": 20}, "premises": {"z": 20}, "target": "w"}, "answer": {"steps": [["g", "q + 19", "q + 28"], ["q", "c + 13", "c + 41"], ["c", "u + 6", "u + 47"], ["u", "m + 5", "m + 52"], ["m", "z + 11", "z + 63"], ["z", 20, "83"]], "target_var_name": "w", "target_value": 83, "value_dict": {"z": 20}, "is_reverse": true}}
| 3,109
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = b + 10; j = z + 12; g = q + 19; b = n + 11; u = m + 5; w = g + 9; c = u + 6; r = f + 6; m = z + 11; n = j + 4; e = r + 18; z = 20; q = c + 13. Given that z = 20, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = q + 19 to w, which gives w = q + 28.\n2. Substitute q = c + 13 to w, which gives w = c + 41.\n3. Substitute c = u + 6 to w, which gives w = u + 47.\n4. Substitute u = m + 5 to w, which gives w = m + 52.\n5. Substitute m = z + 11 to w, which gives w = z + 63.\n6. Substitute z = 20 to w, which gives w = 83.\n\nThus, the final answer is w = \\boxed{83}.",
"index": 3109,
"question": "Suppose a collection of variables is related by the following definitions: f = b + 10; j = z + 12; g = q + 19; b = n + 11; u = m + 5; w = g + 9; c = u + 6; r = f + 6; m = z + 11; n = j + 4; e = r + 18; z = 20; q = c + 13. Given that z = 20, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"b": "r + 6", "q": "b + 3", "m": "q + 3", "y": "m + 18", "w": "y + 10", "u": "w + 11", "i": "r + 15", "h": "i + 14", "c": "h + 17", "d": "c + 16", "v": "d + 7", "t": "v + 4", "r": 16}, "premises": {"r": 16}, "target": "u"}, "answer": {"steps": [["w", "y + 10", "y + 21"], ["y", "m + 18", "m + 39"], ["m", "q + 3", "q + 42"], ["q", "b + 3", "b + 45"], ["b", "r + 6", "r + 51"], ["r", 16, "67"]], "target_var_name": "u", "target_value": 67, "value_dict": {"r": 16}, "is_reverse": true}}
| 3,110
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = v + 4; r = 16; y = m + 18; c = h + 17; h = i + 14; m = q + 3; v = d + 7; q = b + 3; w = y + 10; u = w + 11; i = r + 15; d = c + 16; b = r + 6. If r = 16, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = y + 10 to u, which gives u = y + 21.\n2. Substitute y = m + 18 to u, which gives u = m + 39.\n3. Substitute m = q + 3 to u, which gives u = q + 42.\n4. Substitute q = b + 3 to u, which gives u = b + 45.\n5. Substitute b = r + 6 to u, which gives u = r + 51.\n6. Substitute r = 16 to u, which gives u = 67.\n\nThus, the final answer is u = \\boxed{67}.",
"index": 3110,
"question": "Consider a system of variables where each variable is defined as follows: t = v + 4; r = 16; y = m + 18; c = h + 17; h = i + 14; m = q + 3; v = d + 7; q = b + 3; w = y + 10; u = w + 11; i = r + 15; d = c + 16; b = r + 6. If r = 16, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"t": "g + 14", "u": "t + 4", "x": "u + 20", "j": "x + 4", "c": "j + 11", "f": "c + 1", "p": "g + 5", "o": "p + 10", "z": "o + 19", "d": "z + 15", "k": "d + 17", "h": "k + 5", "g": 7}, "premises": {"g": 7}, "target": "f"}, "answer": {"steps": [["c", "j + 11", "j + 12"], ["j", "x + 4", "x + 16"], ["x", "u + 20", "u + 36"], ["u", "t + 4", "t + 40"], ["t", "g + 14", "g + 54"], ["g", 7, "61"]], "target_var_name": "f", "target_value": 61, "value_dict": {"g": 7}, "is_reverse": true}}
| 3,111
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = k + 5; g = 7; p = g + 5; d = z + 15; k = d + 17; j = x + 4; x = u + 20; t = g + 14; f = c + 1; z = o + 19; u = t + 4; o = p + 10; c = j + 11. If g = 7, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = j + 11 to f, which gives f = j + 12.\n2. Substitute j = x + 4 to f, which gives f = x + 16.\n3. Substitute x = u + 20 to f, which gives f = u + 36.\n4. Substitute u = t + 4 to f, which gives f = t + 40.\n5. Substitute t = g + 14 to f, which gives f = g + 54.\n6. Substitute g = 7 to f, which gives f = 61.\n\nThus, the final answer is f = \\boxed{61}.",
"index": 3111,
"question": "Consider a system of variables where each variable is defined as follows: h = k + 5; g = 7; p = g + 5; d = z + 15; k = d + 17; j = x + 4; x = u + 20; t = g + 14; f = c + 1; z = o + 19; u = t + 4; o = p + 10; c = j + 11. If g = 7, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"m": "h + 7", "l": "m + 9", "c": "l + 10", "d": "c + 10", "n": "d + 18", "i": "n + 3", "f": "h + 7", "x": "f + 7", "s": "x + 15", "r": "s + 3", "z": "r + 18", "a": "z + 13", "h": 6}, "premises": {"h": 6}, "target": "i"}, "answer": {"steps": [["n", "d + 18", "d + 21"], ["d", "c + 10", "c + 31"], ["c", "l + 10", "l + 41"], ["l", "m + 9", "m + 50"], ["m", "h + 7", "h + 57"], ["h", 6, "63"]], "target_var_name": "i", "target_value": 63, "value_dict": {"h": 6}, "is_reverse": true}}
| 3,112
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = c + 10; n = d + 18; f = h + 7; l = m + 9; m = h + 7; a = z + 13; r = s + 3; s = x + 15; z = r + 18; x = f + 7; h = 6; c = l + 10; i = n + 3. Given that h = 6, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = d + 18 to i, which gives i = d + 21.\n2. Substitute d = c + 10 to i, which gives i = c + 31.\n3. Substitute c = l + 10 to i, which gives i = l + 41.\n4. Substitute l = m + 9 to i, which gives i = m + 50.\n5. Substitute m = h + 7 to i, which gives i = h + 57.\n6. Substitute h = 6 to i, which gives i = 63.\n\nThus, the final answer is i = \\boxed{63}.",
"index": 3112,
"question": "Suppose a collection of variables is related by the following definitions: d = c + 10; n = d + 18; f = h + 7; l = m + 9; m = h + 7; a = z + 13; r = s + 3; s = x + 15; z = r + 18; x = f + 7; h = 6; c = l + 10; i = n + 3. Given that h = 6, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"m": "g + 18", "l": "m + 4", "v": "l + 19", "j": "v + 14", "d": "j + 15", "b": "d + 1", "i": "g + 3", "q": "i + 18", "a": "q + 20", "x": "a + 12", "y": "x + 16", "e": "y + 9", "g": 5}, "premises": {"g": 5}, "target": "b"}, "answer": {"steps": [["d", "j + 15", "j + 16"], ["j", "v + 14", "v + 30"], ["v", "l + 19", "l + 49"], ["l", "m + 4", "m + 53"], ["m", "g + 18", "g + 71"], ["g", 5, "76"]], "target_var_name": "b", "target_value": 76, "value_dict": {"g": 5}, "is_reverse": true}}
| 3,113
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = l + 19; a = q + 20; m = g + 18; q = i + 18; y = x + 16; e = y + 9; d = j + 15; x = a + 12; l = m + 4; b = d + 1; j = v + 14; g = 5; i = g + 3. If g = 5, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = j + 15 to b, which gives b = j + 16.\n2. Substitute j = v + 14 to b, which gives b = v + 30.\n3. Substitute v = l + 19 to b, which gives b = l + 49.\n4. Substitute l = m + 4 to b, which gives b = m + 53.\n5. Substitute m = g + 18 to b, which gives b = g + 71.\n6. Substitute g = 5 to b, which gives b = 76.\n\nThus, the final answer is b = \\boxed{76}.",
"index": 3113,
"question": "Consider a system of variables where each variable is defined as follows: v = l + 19; a = q + 20; m = g + 18; q = i + 18; y = x + 16; e = y + 9; d = j + 15; x = a + 12; l = m + 4; b = d + 1; j = v + 14; g = 5; i = g + 3. If g = 5, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"u": "r + 9", "k": "u + 2", "z": "k + 17", "j": "z + 14", "s": "j + 20", "v": "s + 14", "d": "r + 9", "l": "d + 8", "h": "l + 14", "t": "h + 7", "f": "t + 6", "b": "f + 6", "r": 14}, "premises": {"r": 14}, "target": "v"}, "answer": {"steps": [["s", "j + 20", "j + 34"], ["j", "z + 14", "z + 48"], ["z", "k + 17", "k + 65"], ["k", "u + 2", "u + 67"], ["u", "r + 9", "r + 76"], ["r", 14, "90"]], "target_var_name": "v", "target_value": 90, "value_dict": {"r": 14}, "is_reverse": true}}
| 3,114
| 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 = f + 6; d = r + 9; t = h + 7; k = u + 2; v = s + 14; u = r + 9; s = j + 20; r = 14; h = l + 14; f = t + 6; j = z + 14; z = k + 17; l = d + 8. If r = 14, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = j + 20 to v, which gives v = j + 34.\n2. Substitute j = z + 14 to v, which gives v = z + 48.\n3. Substitute z = k + 17 to v, which gives v = k + 65.\n4. Substitute k = u + 2 to v, which gives v = u + 67.\n5. Substitute u = r + 9 to v, which gives v = r + 76.\n6. Substitute r = 14 to v, which gives v = 90.\n\nThus, the final answer is v = \\boxed{90}.",
"index": 3114,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = f + 6; d = r + 9; t = h + 7; k = u + 2; v = s + 14; u = r + 9; s = j + 20; r = 14; h = l + 14; f = t + 6; j = z + 14; z = k + 17; l = d + 8. If r = 14, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"a": "l + 16", "j": "a + 9", "f": "j + 17", "y": "f + 3", "t": "y + 11", "h": "t + 17", "s": "l + 6", "c": "s + 15", "w": "c + 16", "k": "w + 4", "p": "k + 8", "o": "p + 8", "l": 2}, "premises": {"l": 2}, "target": "h"}, "answer": {"steps": [["t", "y + 11", "y + 28"], ["y", "f + 3", "f + 31"], ["f", "j + 17", "j + 48"], ["j", "a + 9", "a + 57"], ["a", "l + 16", "l + 73"], ["l", 2, "75"]], "target_var_name": "h", "target_value": 75, "value_dict": {"l": 2}, "is_reverse": true}}
| 3,115
| 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 + 3; j = a + 9; s = l + 6; p = k + 8; a = l + 16; k = w + 4; w = c + 16; f = j + 17; h = t + 17; l = 2; o = p + 8; t = y + 11; c = s + 15. If l = 2, 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 t = y + 11 to h, which gives h = y + 28.\n2. Substitute y = f + 3 to h, which gives h = f + 31.\n3. Substitute f = j + 17 to h, which gives h = j + 48.\n4. Substitute j = a + 9 to h, which gives h = a + 57.\n5. Substitute a = l + 16 to h, which gives h = l + 73.\n6. Substitute l = 2 to h, which gives h = 75.\n\nThus, the final answer is h = \\boxed{75}.",
"index": 3115,
"question": "Consider a system of variables where each variable is defined as follows: y = f + 3; j = a + 9; s = l + 6; p = k + 8; a = l + 16; k = w + 4; w = c + 16; f = j + 17; h = t + 17; l = 2; o = p + 8; t = y + 11; c = s + 15. If l = 2, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"v": "y + 3", "r": "v + 2", "l": "r + 20", "h": "l + 17", "j": "h + 16", "x": "j + 5", "w": "y + 6", "p": "w + 16", "g": "p + 7", "f": "g + 15", "m": "f + 7", "c": "m + 19", "y": 10}, "premises": {"y": 10}, "target": "x"}, "answer": {"steps": [["j", "h + 16", "h + 21"], ["h", "l + 17", "l + 38"], ["l", "r + 20", "r + 58"], ["r", "v + 2", "v + 60"], ["v", "y + 3", "y + 63"], ["y", 10, "73"]], "target_var_name": "x", "target_value": 73, "value_dict": {"y": 10}, "is_reverse": true}}
| 3,116
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = g + 15; l = r + 20; x = j + 5; y = 10; g = p + 7; h = l + 17; w = y + 6; j = h + 16; c = m + 19; r = v + 2; v = y + 3; m = f + 7; p = w + 16. If y = 10, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = h + 16 to x, which gives x = h + 21.\n2. Substitute h = l + 17 to x, which gives x = l + 38.\n3. Substitute l = r + 20 to x, which gives x = r + 58.\n4. Substitute r = v + 2 to x, which gives x = v + 60.\n5. Substitute v = y + 3 to x, which gives x = y + 63.\n6. Substitute y = 10 to x, which gives x = 73.\n\nThus, the final answer is x = \\boxed{73}.",
"index": 3116,
"question": "Consider a system of variables where each variable is defined as follows: f = g + 15; l = r + 20; x = j + 5; y = 10; g = p + 7; h = l + 17; w = y + 6; j = h + 16; c = m + 19; r = v + 2; v = y + 3; m = f + 7; p = w + 16. If y = 10, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"a": "e + 17", "h": "a + 2", "j": "h + 14", "r": "j + 12", "o": "r + 13", "m": "o + 8", "s": "e + 2", "f": "s + 8", "n": "f + 3", "b": "n + 8", "v": "b + 14", "u": "v + 8", "e": 4}, "premises": {"e": 4}, "target": "m"}, "answer": {"steps": [["o", "r + 13", "r + 21"], ["r", "j + 12", "j + 33"], ["j", "h + 14", "h + 47"], ["h", "a + 2", "a + 49"], ["a", "e + 17", "e + 66"], ["e", 4, "70"]], "target_var_name": "m", "target_value": 70, "value_dict": {"e": 4}, "is_reverse": true}}
| 3,117
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = b + 14; n = f + 3; j = h + 14; h = a + 2; r = j + 12; f = s + 8; u = v + 8; e = 4; a = e + 17; m = o + 8; s = e + 2; o = r + 13; b = n + 8. If e = 4, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = r + 13 to m, which gives m = r + 21.\n2. Substitute r = j + 12 to m, which gives m = j + 33.\n3. Substitute j = h + 14 to m, which gives m = h + 47.\n4. Substitute h = a + 2 to m, which gives m = a + 49.\n5. Substitute a = e + 17 to m, which gives m = e + 66.\n6. Substitute e = 4 to m, which gives m = 70.\n\nThus, the final answer is m = \\boxed{70}.",
"index": 3117,
"question": "Consider a system of variables where each variable is defined as follows: v = b + 14; n = f + 3; j = h + 14; h = a + 2; r = j + 12; f = s + 8; u = v + 8; e = 4; a = e + 17; m = o + 8; s = e + 2; o = r + 13; b = n + 8. If e = 4, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"s": "e + 6", "x": "s + 13", "o": "x + 4", "m": "o + 12", "t": "m + 18", "y": "t + 8", "k": "e + 3", "l": "k + 9", "u": "l + 5", "n": "u + 1", "h": "n + 14", "z": "h + 11", "e": 15}, "premises": {"e": 15}, "target": "y"}, "answer": {"steps": [["t", "m + 18", "m + 26"], ["m", "o + 12", "o + 38"], ["o", "x + 4", "x + 42"], ["x", "s + 13", "s + 55"], ["s", "e + 6", "e + 61"], ["e", 15, "76"]], "target_var_name": "y", "target_value": 76, "value_dict": {"e": 15}, "is_reverse": true}}
| 3,118
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = e + 3; o = x + 4; h = n + 14; u = l + 5; e = 15; z = h + 11; y = t + 8; x = s + 13; n = u + 1; m = o + 12; s = e + 6; t = m + 18; l = k + 9. If e = 15, determine the 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 = m + 18 to y, which gives y = m + 26.\n2. Substitute m = o + 12 to y, which gives y = o + 38.\n3. Substitute o = x + 4 to y, which gives y = x + 42.\n4. Substitute x = s + 13 to y, which gives y = s + 55.\n5. Substitute s = e + 6 to y, which gives y = e + 61.\n6. Substitute e = 15 to y, which gives y = 76.\n\nThus, the final answer is y = \\boxed{76}.",
"index": 3118,
"question": "Consider a system of variables where each variable is defined as follows: k = e + 3; o = x + 4; h = n + 14; u = l + 5; e = 15; z = h + 11; y = t + 8; x = s + 13; n = u + 1; m = o + 12; s = e + 6; t = m + 18; l = k + 9. If e = 15, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"c": "u + 20", "d": "c + 9", "y": "d + 14", "a": "y + 18", "v": "a + 8", "l": "v + 17", "s": "u + 14", "g": "s + 16", "w": "g + 5", "q": "w + 17", "m": "q + 1", "t": "m + 5", "u": 4}, "premises": {"u": 4}, "target": "l"}, "answer": {"steps": [["v", "a + 8", "a + 25"], ["a", "y + 18", "y + 43"], ["y", "d + 14", "d + 57"], ["d", "c + 9", "c + 66"], ["c", "u + 20", "u + 86"], ["u", 4, "90"]], "target_var_name": "l", "target_value": 90, "value_dict": {"u": 4}, "is_reverse": true}}
| 3,119
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = y + 18; u = 4; l = v + 17; g = s + 16; t = m + 5; v = a + 8; w = g + 5; y = d + 14; d = c + 9; c = u + 20; q = w + 17; s = u + 14; m = q + 1. Given that u = 4, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = a + 8 to l, which gives l = a + 25.\n2. Substitute a = y + 18 to l, which gives l = y + 43.\n3. Substitute y = d + 14 to l, which gives l = d + 57.\n4. Substitute d = c + 9 to l, which gives l = c + 66.\n5. Substitute c = u + 20 to l, which gives l = u + 86.\n6. Substitute u = 4 to l, which gives l = 90.\n\nThus, the final answer is l = \\boxed{90}.",
"index": 3119,
"question": "Suppose a collection of variables is related by the following definitions: a = y + 18; u = 4; l = v + 17; g = s + 16; t = m + 5; v = a + 8; w = g + 5; y = d + 14; d = c + 9; c = u + 20; q = w + 17; s = u + 14; m = q + 1. Given that u = 4, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"s": "i + 12", "g": "s + 1", "d": "g + 5", "q": "d + 9", "o": "q + 16", "t": "o + 17", "b": "i + 7", "j": "b + 6", "w": "j + 9", "n": "w + 20", "u": "n + 20", "z": "u + 1", "i": 9}, "premises": {"i": 9}, "target": "t"}, "answer": {"steps": [["o", "q + 16", "q + 33"], ["q", "d + 9", "d + 42"], ["d", "g + 5", "g + 47"], ["g", "s + 1", "s + 48"], ["s", "i + 12", "i + 60"], ["i", 9, "69"]], "target_var_name": "t", "target_value": 69, "value_dict": {"i": 9}, "is_reverse": true}}
| 3,120
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = q + 16; d = g + 5; u = n + 20; i = 9; g = s + 1; n = w + 20; s = i + 12; t = o + 17; q = d + 9; z = u + 1; w = j + 9; j = b + 6; b = i + 7. Given that i = 9, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = q + 16 to t, which gives t = q + 33.\n2. Substitute q = d + 9 to t, which gives t = d + 42.\n3. Substitute d = g + 5 to t, which gives t = g + 47.\n4. Substitute g = s + 1 to t, which gives t = s + 48.\n5. Substitute s = i + 12 to t, which gives t = i + 60.\n6. Substitute i = 9 to t, which gives t = 69.\n\nThus, the final answer is t = \\boxed{69}.",
"index": 3120,
"question": "Suppose a collection of variables is related by the following definitions: o = q + 16; d = g + 5; u = n + 20; i = 9; g = s + 1; n = w + 20; s = i + 12; t = o + 17; q = d + 9; z = u + 1; w = j + 9; j = b + 6; b = i + 7. Given that i = 9, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"y": "x + 12", "q": "y + 12", "u": "q + 13", "i": "u + 13", "h": "i + 2", "v": "h + 12", "r": "x + 7", "w": "r + 2", "d": "w + 12", "m": "d + 2", "b": "m + 10", "s": "b + 8", "x": 16}, "premises": {"x": 16}, "target": "v"}, "answer": {"steps": [["h", "i + 2", "i + 14"], ["i", "u + 13", "u + 27"], ["u", "q + 13", "q + 40"], ["q", "y + 12", "y + 52"], ["y", "x + 12", "x + 64"], ["x", 16, "80"]], "target_var_name": "v", "target_value": 80, "value_dict": {"x": 16}, "is_reverse": true}}
| 3,121
| 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 = r + 2; h = i + 2; b = m + 10; m = d + 2; d = w + 12; s = b + 8; r = x + 7; q = y + 12; i = u + 13; x = 16; y = x + 12; u = q + 13; v = h + 12. If x = 16, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = i + 2 to v, which gives v = i + 14.\n2. Substitute i = u + 13 to v, which gives v = u + 27.\n3. Substitute u = q + 13 to v, which gives v = q + 40.\n4. Substitute q = y + 12 to v, which gives v = y + 52.\n5. Substitute y = x + 12 to v, which gives v = x + 64.\n6. Substitute x = 16 to v, which gives v = 80.\n\nThus, the final answer is v = \\boxed{80}.",
"index": 3121,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = r + 2; h = i + 2; b = m + 10; m = d + 2; d = w + 12; s = b + 8; r = x + 7; q = y + 12; i = u + 13; x = 16; y = x + 12; u = q + 13; v = h + 12. If x = 16, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"i": "y + 5", "b": "i + 1", "j": "b + 6", "u": "j + 14", "z": "u + 13", "k": "z + 16", "d": "y + 6", "c": "d + 16", "f": "c + 7", "h": "f + 19", "v": "h + 9", "e": "v + 11", "y": 14}, "premises": {"y": 14}, "target": "k"}, "answer": {"steps": [["z", "u + 13", "u + 29"], ["u", "j + 14", "j + 43"], ["j", "b + 6", "b + 49"], ["b", "i + 1", "i + 50"], ["i", "y + 5", "y + 55"], ["y", 14, "69"]], "target_var_name": "k", "target_value": 69, "value_dict": {"y": 14}, "is_reverse": true}}
| 3,122
| 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 = f + 19; z = u + 13; i = y + 5; c = d + 16; u = j + 14; y = 14; v = h + 9; j = b + 6; k = z + 16; e = v + 11; d = y + 6; b = i + 1; f = c + 7. If y = 14, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = u + 13 to k, which gives k = u + 29.\n2. Substitute u = j + 14 to k, which gives k = j + 43.\n3. Substitute j = b + 6 to k, which gives k = b + 49.\n4. Substitute b = i + 1 to k, which gives k = i + 50.\n5. Substitute i = y + 5 to k, which gives k = y + 55.\n6. Substitute y = 14 to k, which gives k = 69.\n\nThus, the final answer is k = \\boxed{69}.",
"index": 3122,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = f + 19; z = u + 13; i = y + 5; c = d + 16; u = j + 14; y = 14; v = h + 9; j = b + 6; k = z + 16; e = v + 11; d = y + 6; b = i + 1; f = c + 7. If y = 14, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"u": "g + 18", "b": "u + 10", "a": "b + 13", "x": "a + 11", "z": "x + 4", "j": "z + 20", "d": "g + 17", "p": "d + 11", "k": "p + 6", "s": "k + 14", "v": "s + 14", "o": "v + 8", "g": 13}, "premises": {"g": 13}, "target": "j"}, "answer": {"steps": [["z", "x + 4", "x + 24"], ["x", "a + 11", "a + 35"], ["a", "b + 13", "b + 48"], ["b", "u + 10", "u + 58"], ["u", "g + 18", "g + 76"], ["g", 13, "89"]], "target_var_name": "j", "target_value": 89, "value_dict": {"g": 13}, "is_reverse": true}}
| 3,123
| 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 = 13; d = g + 17; o = v + 8; v = s + 14; j = z + 20; s = k + 14; z = x + 4; p = d + 11; x = a + 11; u = g + 18; a = b + 13; k = p + 6; b = u + 10. If g = 13, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = x + 4 to j, which gives j = x + 24.\n2. Substitute x = a + 11 to j, which gives j = a + 35.\n3. Substitute a = b + 13 to j, which gives j = b + 48.\n4. Substitute b = u + 10 to j, which gives j = u + 58.\n5. Substitute u = g + 18 to j, which gives j = g + 76.\n6. Substitute g = 13 to j, which gives j = 89.\n\nThus, the final answer is j = \\boxed{89}.",
"index": 3123,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = 13; d = g + 17; o = v + 8; v = s + 14; j = z + 20; s = k + 14; z = x + 4; p = d + 11; x = a + 11; u = g + 18; a = b + 13; k = p + 6; b = u + 10. If g = 13, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"g": "l + 18", "d": "g + 7", "w": "d + 19", "v": "w + 3", "e": "v + 20", "u": "e + 3", "o": "l + 20", "t": "o + 8", "i": "t + 9", "j": "i + 12", "n": "j + 5", "y": "n + 9", "l": 9}, "premises": {"l": 9}, "target": "u"}, "answer": {"steps": [["e", "v + 20", "v + 23"], ["v", "w + 3", "w + 26"], ["w", "d + 19", "d + 45"], ["d", "g + 7", "g + 52"], ["g", "l + 18", "l + 70"], ["l", 9, "79"]], "target_var_name": "u", "target_value": 79, "value_dict": {"l": 9}, "is_reverse": true}}
| 3,124
| 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 = t + 9; u = e + 3; y = n + 9; l = 9; d = g + 7; n = j + 5; o = l + 20; g = l + 18; v = w + 3; w = d + 19; j = i + 12; e = v + 20; t = o + 8. If l = 9, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = v + 20 to u, which gives u = v + 23.\n2. Substitute v = w + 3 to u, which gives u = w + 26.\n3. Substitute w = d + 19 to u, which gives u = d + 45.\n4. Substitute d = g + 7 to u, which gives u = g + 52.\n5. Substitute g = l + 18 to u, which gives u = l + 70.\n6. Substitute l = 9 to u, which gives u = 79.\n\nThus, the final answer is u = \\boxed{79}.",
"index": 3124,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = t + 9; u = e + 3; y = n + 9; l = 9; d = g + 7; n = j + 5; o = l + 20; g = l + 18; v = w + 3; w = d + 19; j = i + 12; e = v + 20; t = o + 8. If l = 9, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"a": "f + 16", "v": "a + 9", "e": "v + 5", "w": "e + 10", "m": "w + 11", "h": "m + 9", "p": "f + 20", "c": "p + 13", "y": "c + 1", "j": "y + 17", "x": "j + 2", "s": "x + 4", "f": 2}, "premises": {"f": 2}, "target": "h"}, "answer": {"steps": [["m", "w + 11", "w + 20"], ["w", "e + 10", "e + 30"], ["e", "v + 5", "v + 35"], ["v", "a + 9", "a + 44"], ["a", "f + 16", "f + 60"], ["f", 2, "62"]], "target_var_name": "h", "target_value": 62, "value_dict": {"f": 2}, "is_reverse": true}}
| 3,125
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = x + 4; p = f + 20; v = a + 9; x = j + 2; a = f + 16; c = p + 13; y = c + 1; j = y + 17; f = 2; w = e + 10; e = v + 5; h = m + 9; m = w + 11. If f = 2, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = w + 11 to h, which gives h = w + 20.\n2. Substitute w = e + 10 to h, which gives h = e + 30.\n3. Substitute e = v + 5 to h, which gives h = v + 35.\n4. Substitute v = a + 9 to h, which gives h = a + 44.\n5. Substitute a = f + 16 to h, which gives h = f + 60.\n6. Substitute f = 2 to h, which gives h = 62.\n\nThus, the final answer is h = \\boxed{62}.",
"index": 3125,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = x + 4; p = f + 20; v = a + 9; x = j + 2; a = f + 16; c = p + 13; y = c + 1; j = y + 17; f = 2; w = e + 10; e = v + 5; h = m + 9; m = w + 11. If f = 2, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"y": "j + 20", "r": "y + 6", "b": "r + 11", "m": "b + 10", "v": "m + 8", "s": "v + 4", "c": "j + 4", "e": "c + 2", "g": "e + 7", "q": "g + 18", "o": "q + 5", "h": "o + 5", "j": 3}, "premises": {"j": 3}, "target": "s"}, "answer": {"steps": [["v", "m + 8", "m + 12"], ["m", "b + 10", "b + 22"], ["b", "r + 11", "r + 33"], ["r", "y + 6", "y + 39"], ["y", "j + 20", "j + 59"], ["j", 3, "62"]], "target_var_name": "s", "target_value": 62, "value_dict": {"j": 3}, "is_reverse": true}}
| 3,126
| 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 = o + 5; o = q + 5; c = j + 4; s = v + 4; b = r + 11; v = m + 8; j = 3; q = g + 18; g = e + 7; e = c + 2; r = y + 6; y = j + 20; m = b + 10. If j = 3, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = m + 8 to s, which gives s = m + 12.\n2. Substitute m = b + 10 to s, which gives s = b + 22.\n3. Substitute b = r + 11 to s, which gives s = r + 33.\n4. Substitute r = y + 6 to s, which gives s = y + 39.\n5. Substitute y = j + 20 to s, which gives s = j + 59.\n6. Substitute j = 3 to s, which gives s = 62.\n\nThus, the final answer is s = \\boxed{62}.",
"index": 3126,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = o + 5; o = q + 5; c = j + 4; s = v + 4; b = r + 11; v = m + 8; j = 3; q = g + 18; g = e + 7; e = c + 2; r = y + 6; y = j + 20; m = b + 10. If j = 3, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"y": "t + 3", "q": "y + 11", "a": "q + 6", "v": "a + 13", "b": "v + 19", "p": "b + 15", "f": "t + 7", "e": "f + 4", "m": "e + 20", "r": "m + 16", "u": "r + 8", "z": "u + 18", "t": 14}, "premises": {"t": 14}, "target": "p"}, "answer": {"steps": [["b", "v + 19", "v + 34"], ["v", "a + 13", "a + 47"], ["a", "q + 6", "q + 53"], ["q", "y + 11", "y + 64"], ["y", "t + 3", "t + 67"], ["t", 14, "81"]], "target_var_name": "p", "target_value": 81, "value_dict": {"t": 14}, "is_reverse": true}}
| 3,127
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = t + 3; t = 14; v = a + 13; r = m + 16; z = u + 18; p = b + 15; m = e + 20; f = t + 7; e = f + 4; u = r + 8; q = y + 11; b = v + 19; a = q + 6. Given that t = 14, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = v + 19 to p, which gives p = v + 34.\n2. Substitute v = a + 13 to p, which gives p = a + 47.\n3. Substitute a = q + 6 to p, which gives p = q + 53.\n4. Substitute q = y + 11 to p, which gives p = y + 64.\n5. Substitute y = t + 3 to p, which gives p = t + 67.\n6. Substitute t = 14 to p, which gives p = 81.\n\nThus, the final answer is p = \\boxed{81}.",
"index": 3127,
"question": "Suppose a collection of variables is related by the following definitions: y = t + 3; t = 14; v = a + 13; r = m + 16; z = u + 18; p = b + 15; m = e + 20; f = t + 7; e = f + 4; u = r + 8; q = y + 11; b = v + 19; a = q + 6. Given that t = 14, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"u": "d + 1", "k": "u + 1", "c": "k + 5", "t": "c + 2", "s": "t + 10", "e": "s + 9", "a": "d + 14", "x": "a + 2", "g": "x + 20", "w": "g + 17", "v": "w + 7", "h": "v + 19", "d": 12}, "premises": {"d": 12}, "target": "e"}, "answer": {"steps": [["s", "t + 10", "t + 19"], ["t", "c + 2", "c + 21"], ["c", "k + 5", "k + 26"], ["k", "u + 1", "u + 27"], ["u", "d + 1", "d + 28"], ["d", 12, "40"]], "target_var_name": "e", "target_value": 40, "value_dict": {"d": 12}, "is_reverse": true}}
| 3,128
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = w + 7; x = a + 2; w = g + 17; h = v + 19; c = k + 5; t = c + 2; e = s + 9; a = d + 14; s = t + 10; u = d + 1; g = x + 20; k = u + 1; d = 12. If d = 12, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 40,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = t + 10 to e, which gives e = t + 19.\n2. Substitute t = c + 2 to e, which gives e = c + 21.\n3. Substitute c = k + 5 to e, which gives e = k + 26.\n4. Substitute k = u + 1 to e, which gives e = u + 27.\n5. Substitute u = d + 1 to e, which gives e = d + 28.\n6. Substitute d = 12 to e, which gives e = 40.\n\nThus, the final answer is e = \\boxed{40}.",
"index": 3128,
"question": "Consider a system of variables where each variable is defined as follows: v = w + 7; x = a + 2; w = g + 17; h = v + 19; c = k + 5; t = c + 2; e = s + 9; a = d + 14; s = t + 10; u = d + 1; g = x + 20; k = u + 1; d = 12. If d = 12, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"x": "r + 4", "k": "x + 8", "d": "k + 19", "v": "d + 14", "b": "v + 2", "s": "b + 13", "j": "r + 2", "n": "j + 3", "t": "n + 10", "e": "t + 20", "l": "e + 19", "p": "l + 6", "r": 20}, "premises": {"r": 20}, "target": "s"}, "answer": {"steps": [["b", "v + 2", "v + 15"], ["v", "d + 14", "d + 29"], ["d", "k + 19", "k + 48"], ["k", "x + 8", "x + 56"], ["x", "r + 4", "r + 60"], ["r", 20, "80"]], "target_var_name": "s", "target_value": 80, "value_dict": {"r": 20}, "is_reverse": true}}
| 3,129
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = l + 6; d = k + 19; n = j + 3; r = 20; t = n + 10; s = b + 13; x = r + 4; v = d + 14; e = t + 20; l = e + 19; b = v + 2; j = r + 2; k = x + 8. Given that r = 20, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = v + 2 to s, which gives s = v + 15.\n2. Substitute v = d + 14 to s, which gives s = d + 29.\n3. Substitute d = k + 19 to s, which gives s = k + 48.\n4. Substitute k = x + 8 to s, which gives s = x + 56.\n5. Substitute x = r + 4 to s, which gives s = r + 60.\n6. Substitute r = 20 to s, which gives s = 80.\n\nThus, the final answer is s = \\boxed{80}.",
"index": 3129,
"question": "Suppose a collection of variables is related by the following definitions: p = l + 6; d = k + 19; n = j + 3; r = 20; t = n + 10; s = b + 13; x = r + 4; v = d + 14; e = t + 20; l = e + 19; b = v + 2; j = r + 2; k = x + 8. Given that r = 20, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"p": "r + 8", "j": "p + 13", "l": "j + 17", "x": "l + 14", "v": "x + 19", "z": "v + 3", "f": "r + 14", "s": "f + 7", "y": "s + 16", "w": "y + 16", "i": "w + 7", "q": "i + 15", "r": 7}, "premises": {"r": 7}, "target": "z"}, "answer": {"steps": [["v", "x + 19", "x + 22"], ["x", "l + 14", "l + 36"], ["l", "j + 17", "j + 53"], ["j", "p + 13", "p + 66"], ["p", "r + 8", "r + 74"], ["r", 7, "81"]], "target_var_name": "z", "target_value": 81, "value_dict": {"r": 7}, "is_reverse": true}}
| 3,130
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = r + 14; p = r + 8; q = i + 15; z = v + 3; l = j + 17; r = 7; s = f + 7; w = y + 16; i = w + 7; y = s + 16; v = x + 19; x = l + 14; j = p + 13. Given that r = 7, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = x + 19 to z, which gives z = x + 22.\n2. Substitute x = l + 14 to z, which gives z = l + 36.\n3. Substitute l = j + 17 to z, which gives z = j + 53.\n4. Substitute j = p + 13 to z, which gives z = p + 66.\n5. Substitute p = r + 8 to z, which gives z = r + 74.\n6. Substitute r = 7 to z, which gives z = 81.\n\nThus, the final answer is z = \\boxed{81}.",
"index": 3130,
"question": "Suppose a collection of variables is related by the following definitions: f = r + 14; p = r + 8; q = i + 15; z = v + 3; l = j + 17; r = 7; s = f + 7; w = y + 16; i = w + 7; y = s + 16; v = x + 19; x = l + 14; j = p + 13. Given that r = 7, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"m": "v + 11", "g": "m + 18", "n": "g + 18", "j": "n + 6", "h": "j + 12", "b": "h + 17", "y": "v + 2", "p": "y + 18", "i": "p + 4", "k": "i + 12", "d": "k + 13", "o": "d + 12", "v": 9}, "premises": {"v": 9}, "target": "b"}, "answer": {"steps": [["h", "j + 12", "j + 29"], ["j", "n + 6", "n + 35"], ["n", "g + 18", "g + 53"], ["g", "m + 18", "m + 71"], ["m", "v + 11", "v + 82"], ["v", 9, "91"]], "target_var_name": "b", "target_value": 91, "value_dict": {"v": 9}, "is_reverse": true}}
| 3,131
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = i + 12; o = d + 12; d = k + 13; g = m + 18; y = v + 2; m = v + 11; h = j + 12; i = p + 4; n = g + 18; j = n + 6; p = y + 18; v = 9; b = h + 17. If v = 9, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = j + 12 to b, which gives b = j + 29.\n2. Substitute j = n + 6 to b, which gives b = n + 35.\n3. Substitute n = g + 18 to b, which gives b = g + 53.\n4. Substitute g = m + 18 to b, which gives b = m + 71.\n5. Substitute m = v + 11 to b, which gives b = v + 82.\n6. Substitute v = 9 to b, which gives b = 91.\n\nThus, the final answer is b = \\boxed{91}.",
"index": 3131,
"question": "Consider a system of variables where each variable is defined as follows: k = i + 12; o = d + 12; d = k + 13; g = m + 18; y = v + 2; m = v + 11; h = j + 12; i = p + 4; n = g + 18; j = n + 6; p = y + 18; v = 9; b = h + 17. If v = 9, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"s": "t + 13", "f": "s + 5", "i": "f + 3", "d": "i + 5", "u": "d + 19", "y": "u + 10", "o": "t + 17", "b": "o + 5", "h": "b + 18", "w": "h + 18", "e": "w + 7", "v": "e + 2", "t": 14}, "premises": {"t": 14}, "target": "y"}, "answer": {"steps": [["u", "d + 19", "d + 29"], ["d", "i + 5", "i + 34"], ["i", "f + 3", "f + 37"], ["f", "s + 5", "s + 42"], ["s", "t + 13", "t + 55"], ["t", 14, "69"]], "target_var_name": "y", "target_value": 69, "value_dict": {"t": 14}, "is_reverse": true}}
| 3,132
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = i + 5; f = s + 5; u = d + 19; v = e + 2; w = h + 18; o = t + 17; e = w + 7; s = t + 13; y = u + 10; t = 14; h = b + 18; i = f + 3; b = o + 5. Given that t = 14, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = d + 19 to y, which gives y = d + 29.\n2. Substitute d = i + 5 to y, which gives y = i + 34.\n3. Substitute i = f + 3 to y, which gives y = f + 37.\n4. Substitute f = s + 5 to y, which gives y = s + 42.\n5. Substitute s = t + 13 to y, which gives y = t + 55.\n6. Substitute t = 14 to y, which gives y = 69.\n\nThus, the final answer is y = \\boxed{69}.",
"index": 3132,
"question": "Suppose a collection of variables is related by the following definitions: d = i + 5; f = s + 5; u = d + 19; v = e + 2; w = h + 18; o = t + 17; e = w + 7; s = t + 13; y = u + 10; t = 14; h = b + 18; i = f + 3; b = o + 5. Given that t = 14, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"t": "q + 10", "e": "t + 1", "p": "e + 10", "v": "p + 2", "h": "v + 16", "u": "h + 1", "j": "q + 2", "d": "j + 19", "a": "d + 3", "l": "a + 12", "x": "l + 19", "i": "x + 4", "q": 17}, "premises": {"q": 17}, "target": "u"}, "answer": {"steps": [["h", "v + 16", "v + 17"], ["v", "p + 2", "p + 19"], ["p", "e + 10", "e + 29"], ["e", "t + 1", "t + 30"], ["t", "q + 10", "q + 40"], ["q", 17, "57"]], "target_var_name": "u", "target_value": 57, "value_dict": {"q": 17}, "is_reverse": true}}
| 3,133
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = l + 19; p = e + 10; a = d + 3; j = q + 2; e = t + 1; q = 17; u = h + 1; i = x + 4; v = p + 2; t = q + 10; h = v + 16; d = j + 19; l = a + 12. If q = 17, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = v + 16 to u, which gives u = v + 17.\n2. Substitute v = p + 2 to u, which gives u = p + 19.\n3. Substitute p = e + 10 to u, which gives u = e + 29.\n4. Substitute e = t + 1 to u, which gives u = t + 30.\n5. Substitute t = q + 10 to u, which gives u = q + 40.\n6. Substitute q = 17 to u, which gives u = 57.\n\nThus, the final answer is u = \\boxed{57}.",
"index": 3133,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = l + 19; p = e + 10; a = d + 3; j = q + 2; e = t + 1; q = 17; u = h + 1; i = x + 4; v = p + 2; t = q + 10; h = v + 16; d = j + 19; l = a + 12. If q = 17, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"i": "v + 12", "q": "i + 17", "o": "q + 14", "l": "o + 14", "p": "l + 20", "d": "p + 16", "z": "v + 19", "s": "z + 6", "y": "s + 14", "u": "y + 13", "g": "u + 11", "x": "g + 6", "v": 19}, "premises": {"v": 19}, "target": "d"}, "answer": {"steps": [["p", "l + 20", "l + 36"], ["l", "o + 14", "o + 50"], ["o", "q + 14", "q + 64"], ["q", "i + 17", "i + 81"], ["i", "v + 12", "v + 93"], ["v", 19, "112"]], "target_var_name": "d", "target_value": 112, "value_dict": {"v": 19}, "is_reverse": true}}
| 3,134
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = 19; q = i + 17; x = g + 6; l = o + 14; y = s + 14; g = u + 11; i = v + 12; p = l + 20; d = p + 16; o = q + 14; z = v + 19; s = z + 6; u = y + 13. If v = 19, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 112,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = l + 20 to d, which gives d = l + 36.\n2. Substitute l = o + 14 to d, which gives d = o + 50.\n3. Substitute o = q + 14 to d, which gives d = q + 64.\n4. Substitute q = i + 17 to d, which gives d = i + 81.\n5. Substitute i = v + 12 to d, which gives d = v + 93.\n6. Substitute v = 19 to d, which gives d = 112.\n\nThus, the final answer is d = \\boxed{112}.",
"index": 3134,
"question": "Consider a system of variables where each variable is defined as follows: v = 19; q = i + 17; x = g + 6; l = o + 14; y = s + 14; g = u + 11; i = v + 12; p = l + 20; d = p + 16; o = q + 14; z = v + 19; s = z + 6; u = y + 13. If v = 19, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"r": "y + 2", "l": "r + 14", "b": "l + 4", "j": "b + 6", "u": "j + 6", "d": "u + 1", "k": "y + 6", "g": "k + 3", "x": "g + 7", "q": "x + 8", "c": "q + 13", "w": "c + 7", "y": 2}, "premises": {"y": 2}, "target": "d"}, "answer": {"steps": [["u", "j + 6", "j + 7"], ["j", "b + 6", "b + 13"], ["b", "l + 4", "l + 17"], ["l", "r + 14", "r + 31"], ["r", "y + 2", "y + 33"], ["y", 2, "35"]], "target_var_name": "d", "target_value": 35, "value_dict": {"y": 2}, "is_reverse": true}}
| 3,135
| 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 = j + 6; l = r + 14; c = q + 13; w = c + 7; q = x + 8; r = y + 2; y = 2; b = l + 4; k = y + 6; g = k + 3; d = u + 1; j = b + 6; x = g + 7. If y = 2, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 35,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = j + 6 to d, which gives d = j + 7.\n2. Substitute j = b + 6 to d, which gives d = b + 13.\n3. Substitute b = l + 4 to d, which gives d = l + 17.\n4. Substitute l = r + 14 to d, which gives d = r + 31.\n5. Substitute r = y + 2 to d, which gives d = y + 33.\n6. Substitute y = 2 to d, which gives d = 35.\n\nThus, the final answer is d = \\boxed{35}.",
"index": 3135,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = j + 6; l = r + 14; c = q + 13; w = c + 7; q = x + 8; r = y + 2; y = 2; b = l + 4; k = y + 6; g = k + 3; d = u + 1; j = b + 6; x = g + 7. If y = 2, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"s": "m + 12", "c": "s + 8", "y": "c + 14", "h": "y + 16", "o": "h + 6", "x": "o + 18", "k": "m + 1", "j": "k + 6", "u": "j + 2", "v": "u + 18", "d": "v + 9", "q": "d + 6", "m": 19}, "premises": {"m": 19}, "target": "x"}, "answer": {"steps": [["o", "h + 6", "h + 24"], ["h", "y + 16", "y + 40"], ["y", "c + 14", "c + 54"], ["c", "s + 8", "s + 62"], ["s", "m + 12", "m + 74"], ["m", 19, "93"]], "target_var_name": "x", "target_value": 93, "value_dict": {"m": 19}, "is_reverse": true}}
| 3,136
| 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 = v + 9; x = o + 18; s = m + 12; u = j + 2; j = k + 6; y = c + 14; h = y + 16; c = s + 8; k = m + 1; q = d + 6; v = u + 18; o = h + 6; m = 19. If m = 19, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = h + 6 to x, which gives x = h + 24.\n2. Substitute h = y + 16 to x, which gives x = y + 40.\n3. Substitute y = c + 14 to x, which gives x = c + 54.\n4. Substitute c = s + 8 to x, which gives x = s + 62.\n5. Substitute s = m + 12 to x, which gives x = m + 74.\n6. Substitute m = 19 to x, which gives x = 93.\n\nThus, the final answer is x = \\boxed{93}.",
"index": 3136,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = v + 9; x = o + 18; s = m + 12; u = j + 2; j = k + 6; y = c + 14; h = y + 16; c = s + 8; k = m + 1; q = d + 6; v = u + 18; o = h + 6; m = 19. If m = 19, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"y": "g + 6", "s": "y + 5", "k": "s + 18", "m": "k + 16", "b": "m + 3", "i": "b + 4", "q": "g + 20", "c": "q + 10", "l": "c + 7", "n": "l + 5", "t": "n + 3", "d": "t + 17", "g": 3}, "premises": {"g": 3}, "target": "i"}, "answer": {"steps": [["b", "m + 3", "m + 7"], ["m", "k + 16", "k + 23"], ["k", "s + 18", "s + 41"], ["s", "y + 5", "y + 46"], ["y", "g + 6", "g + 52"], ["g", 3, "55"]], "target_var_name": "i", "target_value": 55, "value_dict": {"g": 3}, "is_reverse": true}}
| 3,137
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = 3; s = y + 5; b = m + 3; d = t + 17; l = c + 7; y = g + 6; k = s + 18; i = b + 4; q = g + 20; n = l + 5; t = n + 3; c = q + 10; m = k + 16. If g = 3, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = m + 3 to i, which gives i = m + 7.\n2. Substitute m = k + 16 to i, which gives i = k + 23.\n3. Substitute k = s + 18 to i, which gives i = s + 41.\n4. Substitute s = y + 5 to i, which gives i = y + 46.\n5. Substitute y = g + 6 to i, which gives i = g + 52.\n6. Substitute g = 3 to i, which gives i = 55.\n\nThus, the final answer is i = \\boxed{55}.",
"index": 3137,
"question": "Consider a system of variables where each variable is defined as follows: g = 3; s = y + 5; b = m + 3; d = t + 17; l = c + 7; y = g + 6; k = s + 18; i = b + 4; q = g + 20; n = l + 5; t = n + 3; c = q + 10; m = k + 16. If g = 3, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"r": "x + 1", "l": "r + 7", "g": "l + 19", "w": "g + 9", "j": "w + 13", "f": "j + 4", "k": "x + 4", "e": "k + 13", "p": "e + 3", "c": "p + 6", "d": "c + 8", "h": "d + 15", "x": 18}, "premises": {"x": 18}, "target": "f"}, "answer": {"steps": [["j", "w + 13", "w + 17"], ["w", "g + 9", "g + 26"], ["g", "l + 19", "l + 45"], ["l", "r + 7", "r + 52"], ["r", "x + 1", "x + 53"], ["x", 18, "71"]], "target_var_name": "f", "target_value": 71, "value_dict": {"x": 18}, "is_reverse": true}}
| 3,138
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = g + 9; e = k + 13; j = w + 13; g = l + 19; d = c + 8; l = r + 7; r = x + 1; f = j + 4; p = e + 3; c = p + 6; k = x + 4; x = 18; h = d + 15. If x = 18, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = w + 13 to f, which gives f = w + 17.\n2. Substitute w = g + 9 to f, which gives f = g + 26.\n3. Substitute g = l + 19 to f, which gives f = l + 45.\n4. Substitute l = r + 7 to f, which gives f = r + 52.\n5. Substitute r = x + 1 to f, which gives f = x + 53.\n6. Substitute x = 18 to f, which gives f = 71.\n\nThus, the final answer is f = \\boxed{71}.",
"index": 3138,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = g + 9; e = k + 13; j = w + 13; g = l + 19; d = c + 8; l = r + 7; r = x + 1; f = j + 4; p = e + 3; c = p + 6; k = x + 4; x = 18; h = d + 15. If x = 18, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"h": "c + 8", "w": "h + 9", "z": "w + 14", "r": "z + 1", "l": "r + 10", "t": "l + 6", "q": "c + 15", "f": "q + 20", "i": "f + 1", "j": "i + 17", "a": "j + 4", "k": "a + 6", "c": 14}, "premises": {"c": 14}, "target": "t"}, "answer": {"steps": [["l", "r + 10", "r + 16"], ["r", "z + 1", "z + 17"], ["z", "w + 14", "w + 31"], ["w", "h + 9", "h + 40"], ["h", "c + 8", "c + 48"], ["c", 14, "62"]], "target_var_name": "t", "target_value": 62, "value_dict": {"c": 14}, "is_reverse": true}}
| 3,139
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = q + 20; l = r + 10; h = c + 8; t = l + 6; i = f + 1; a = j + 4; w = h + 9; r = z + 1; c = 14; z = w + 14; q = c + 15; k = a + 6; j = i + 17. Given that c = 14, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = r + 10 to t, which gives t = r + 16.\n2. Substitute r = z + 1 to t, which gives t = z + 17.\n3. Substitute z = w + 14 to t, which gives t = w + 31.\n4. Substitute w = h + 9 to t, which gives t = h + 40.\n5. Substitute h = c + 8 to t, which gives t = c + 48.\n6. Substitute c = 14 to t, which gives t = 62.\n\nThus, the final answer is t = \\boxed{62}.",
"index": 3139,
"question": "Suppose a collection of variables is related by the following definitions: f = q + 20; l = r + 10; h = c + 8; t = l + 6; i = f + 1; a = j + 4; w = h + 9; r = z + 1; c = 14; z = w + 14; q = c + 15; k = a + 6; j = i + 17. Given that c = 14, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"a": "z + 4", "v": "a + 4", "q": "v + 7", "o": "q + 15", "r": "o + 10", "p": "r + 11", "y": "z + 15", "e": "y + 14", "n": "e + 7", "i": "n + 1", "l": "i + 6", "h": "l + 9", "z": 5}, "premises": {"z": 5}, "target": "p"}, "answer": {"steps": [["r", "o + 10", "o + 21"], ["o", "q + 15", "q + 36"], ["q", "v + 7", "v + 43"], ["v", "a + 4", "a + 47"], ["a", "z + 4", "z + 51"], ["z", 5, "56"]], "target_var_name": "p", "target_value": 56, "value_dict": {"z": 5}, "is_reverse": true}}
| 3,140
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = q + 15; z = 5; e = y + 14; a = z + 4; y = z + 15; p = r + 11; h = l + 9; n = e + 7; r = o + 10; l = i + 6; q = v + 7; v = a + 4; i = n + 1. Given that z = 5, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = o + 10 to p, which gives p = o + 21.\n2. Substitute o = q + 15 to p, which gives p = q + 36.\n3. Substitute q = v + 7 to p, which gives p = v + 43.\n4. Substitute v = a + 4 to p, which gives p = a + 47.\n5. Substitute a = z + 4 to p, which gives p = z + 51.\n6. Substitute z = 5 to p, which gives p = 56.\n\nThus, the final answer is p = \\boxed{56}.",
"index": 3140,
"question": "Suppose a collection of variables is related by the following definitions: o = q + 15; z = 5; e = y + 14; a = z + 4; y = z + 15; p = r + 11; h = l + 9; n = e + 7; r = o + 10; l = i + 6; q = v + 7; v = a + 4; i = n + 1. Given that z = 5, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"n": "v + 12", "z": "n + 6", "x": "z + 3", "f": "x + 9", "p": "f + 20", "s": "p + 9", "y": "v + 12", "i": "y + 20", "c": "i + 10", "d": "c + 7", "b": "d + 1", "u": "b + 5", "v": 13}, "premises": {"v": 13}, "target": "s"}, "answer": {"steps": [["p", "f + 20", "f + 29"], ["f", "x + 9", "x + 38"], ["x", "z + 3", "z + 41"], ["z", "n + 6", "n + 47"], ["n", "v + 12", "v + 59"], ["v", 13, "72"]], "target_var_name": "s", "target_value": 72, "value_dict": {"v": 13}, "is_reverse": true}}
| 3,141
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = 13; s = p + 9; x = z + 3; n = v + 12; c = i + 10; f = x + 9; y = v + 12; p = f + 20; u = b + 5; z = n + 6; b = d + 1; i = y + 20; d = c + 7. If v = 13, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = f + 20 to s, which gives s = f + 29.\n2. Substitute f = x + 9 to s, which gives s = x + 38.\n3. Substitute x = z + 3 to s, which gives s = z + 41.\n4. Substitute z = n + 6 to s, which gives s = n + 47.\n5. Substitute n = v + 12 to s, which gives s = v + 59.\n6. Substitute v = 13 to s, which gives s = 72.\n\nThus, the final answer is s = \\boxed{72}.",
"index": 3141,
"question": "Consider a system of variables where each variable is defined as follows: v = 13; s = p + 9; x = z + 3; n = v + 12; c = i + 10; f = x + 9; y = v + 12; p = f + 20; u = b + 5; z = n + 6; b = d + 1; i = y + 20; d = c + 7. If v = 13, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"c": "f + 16", "l": "c + 1", "u": "l + 10", "t": "u + 19", "e": "t + 1", "z": "e + 2", "d": "f + 8", "k": "d + 1", "a": "k + 13", "w": "a + 14", "y": "w + 16", "n": "y + 10", "f": 13}, "premises": {"f": 13}, "target": "z"}, "answer": {"steps": [["e", "t + 1", "t + 3"], ["t", "u + 19", "u + 22"], ["u", "l + 10", "l + 32"], ["l", "c + 1", "c + 33"], ["c", "f + 16", "f + 49"], ["f", 13, "62"]], "target_var_name": "z", "target_value": 62, "value_dict": {"f": 13}, "is_reverse": true}}
| 3,142
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = f + 8; l = c + 1; f = 13; z = e + 2; u = l + 10; k = d + 1; n = y + 10; t = u + 19; y = w + 16; e = t + 1; c = f + 16; w = a + 14; a = k + 13. If f = 13, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = t + 1 to z, which gives z = t + 3.\n2. Substitute t = u + 19 to z, which gives z = u + 22.\n3. Substitute u = l + 10 to z, which gives z = l + 32.\n4. Substitute l = c + 1 to z, which gives z = c + 33.\n5. Substitute c = f + 16 to z, which gives z = f + 49.\n6. Substitute f = 13 to z, which gives z = 62.\n\nThus, the final answer is z = \\boxed{62}.",
"index": 3142,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = f + 8; l = c + 1; f = 13; z = e + 2; u = l + 10; k = d + 1; n = y + 10; t = u + 19; y = w + 16; e = t + 1; c = f + 16; w = a + 14; a = k + 13. If f = 13, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"k": "e + 20", "x": "k + 2", "u": "x + 17", "h": "u + 6", "f": "h + 13", "z": "f + 9", "y": "e + 16", "l": "y + 6", "g": "l + 8", "i": "g + 12", "j": "i + 8", "m": "j + 11", "e": 17}, "premises": {"e": 17}, "target": "z"}, "answer": {"steps": [["f", "h + 13", "h + 22"], ["h", "u + 6", "u + 28"], ["u", "x + 17", "x + 45"], ["x", "k + 2", "k + 47"], ["k", "e + 20", "e + 67"], ["e", 17, "84"]], "target_var_name": "z", "target_value": 84, "value_dict": {"e": 17}, "is_reverse": true}}
| 3,143
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = f + 9; x = k + 2; k = e + 20; f = h + 13; j = i + 8; g = l + 8; u = x + 17; i = g + 12; h = u + 6; l = y + 6; m = j + 11; e = 17; y = e + 16. Given that e = 17, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = h + 13 to z, which gives z = h + 22.\n2. Substitute h = u + 6 to z, which gives z = u + 28.\n3. Substitute u = x + 17 to z, which gives z = x + 45.\n4. Substitute x = k + 2 to z, which gives z = k + 47.\n5. Substitute k = e + 20 to z, which gives z = e + 67.\n6. Substitute e = 17 to z, which gives z = 84.\n\nThus, the final answer is z = \\boxed{84}.",
"index": 3143,
"question": "Suppose a collection of variables is related by the following definitions: z = f + 9; x = k + 2; k = e + 20; f = h + 13; j = i + 8; g = l + 8; u = x + 17; i = g + 12; h = u + 6; l = y + 6; m = j + 11; e = 17; y = e + 16. Given that e = 17, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"j": "s + 18", "x": "j + 14", "h": "x + 14", "t": "h + 6", "q": "t + 14", "o": "q + 5", "y": "s + 10", "r": "y + 13", "a": "r + 15", "g": "a + 19", "k": "g + 4", "l": "k + 2", "s": 17}, "premises": {"s": 17}, "target": "o"}, "answer": {"steps": [["q", "t + 14", "t + 19"], ["t", "h + 6", "h + 25"], ["h", "x + 14", "x + 39"], ["x", "j + 14", "j + 53"], ["j", "s + 18", "s + 71"], ["s", 17, "88"]], "target_var_name": "o", "target_value": 88, "value_dict": {"s": 17}, "is_reverse": true}}
| 3,144
| 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 = h + 6; h = x + 14; g = a + 19; s = 17; o = q + 5; x = j + 14; l = k + 2; y = s + 10; a = r + 15; r = y + 13; j = s + 18; k = g + 4; q = t + 14. If s = 17, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = t + 14 to o, which gives o = t + 19.\n2. Substitute t = h + 6 to o, which gives o = h + 25.\n3. Substitute h = x + 14 to o, which gives o = x + 39.\n4. Substitute x = j + 14 to o, which gives o = j + 53.\n5. Substitute j = s + 18 to o, which gives o = s + 71.\n6. Substitute s = 17 to o, which gives o = 88.\n\nThus, the final answer is o = \\boxed{88}.",
"index": 3144,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = h + 6; h = x + 14; g = a + 19; s = 17; o = q + 5; x = j + 14; l = k + 2; y = s + 10; a = r + 15; r = y + 13; j = s + 18; k = g + 4; q = t + 14. If s = 17, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"s": "y + 20", "l": "s + 11", "r": "l + 1", "k": "r + 11", "j": "k + 16", "z": "j + 14", "w": "y + 12", "i": "w + 18", "q": "i + 10", "n": "q + 15", "f": "n + 18", "b": "f + 7", "y": 8}, "premises": {"y": 8}, "target": "z"}, "answer": {"steps": [["j", "k + 16", "k + 30"], ["k", "r + 11", "r + 41"], ["r", "l + 1", "l + 42"], ["l", "s + 11", "s + 53"], ["s", "y + 20", "y + 73"], ["y", 8, "81"]], "target_var_name": "z", "target_value": 81, "value_dict": {"y": 8}, "is_reverse": true}}
| 3,145
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = r + 11; n = q + 15; i = w + 18; q = i + 10; b = f + 7; w = y + 12; y = 8; z = j + 14; j = k + 16; f = n + 18; s = y + 20; l = s + 11; r = l + 1. If y = 8, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = k + 16 to z, which gives z = k + 30.\n2. Substitute k = r + 11 to z, which gives z = r + 41.\n3. Substitute r = l + 1 to z, which gives z = l + 42.\n4. Substitute l = s + 11 to z, which gives z = s + 53.\n5. Substitute s = y + 20 to z, which gives z = y + 73.\n6. Substitute y = 8 to z, which gives z = 81.\n\nThus, the final answer is z = \\boxed{81}.",
"index": 3145,
"question": "Consider a system of variables where each variable is defined as follows: k = r + 11; n = q + 15; i = w + 18; q = i + 10; b = f + 7; w = y + 12; y = 8; z = j + 14; j = k + 16; f = n + 18; s = y + 20; l = s + 11; r = l + 1. If y = 8, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"j": "m + 2", "v": "j + 15", "p": "v + 17", "c": "p + 9", "k": "c + 7", "h": "k + 9", "z": "m + 8", "l": "z + 10", "i": "l + 15", "f": "i + 10", "n": "f + 11", "q": "n + 6", "m": 2}, "premises": {"m": 2}, "target": "h"}, "answer": {"steps": [["k", "c + 7", "c + 16"], ["c", "p + 9", "p + 25"], ["p", "v + 17", "v + 42"], ["v", "j + 15", "j + 57"], ["j", "m + 2", "m + 59"], ["m", 2, "61"]], "target_var_name": "h", "target_value": 61, "value_dict": {"m": 2}, "is_reverse": true}}
| 3,146
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = n + 6; m = 2; z = m + 8; h = k + 9; j = m + 2; p = v + 17; l = z + 10; v = j + 15; n = f + 11; i = l + 15; c = p + 9; k = c + 7; f = i + 10. If m = 2, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = c + 7 to h, which gives h = c + 16.\n2. Substitute c = p + 9 to h, which gives h = p + 25.\n3. Substitute p = v + 17 to h, which gives h = v + 42.\n4. Substitute v = j + 15 to h, which gives h = j + 57.\n5. Substitute j = m + 2 to h, which gives h = m + 59.\n6. Substitute m = 2 to h, which gives h = 61.\n\nThus, the final answer is h = \\boxed{61}.",
"index": 3146,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = n + 6; m = 2; z = m + 8; h = k + 9; j = m + 2; p = v + 17; l = z + 10; v = j + 15; n = f + 11; i = l + 15; c = p + 9; k = c + 7; f = i + 10. If m = 2, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"t": "w + 2", "u": "t + 1", "e": "u + 1", "p": "e + 2", "z": "p + 18", "f": "z + 20", "h": "w + 18", "s": "h + 9", "b": "s + 12", "y": "b + 3", "d": "y + 16", "n": "d + 17", "w": 18}, "premises": {"w": 18}, "target": "f"}, "answer": {"steps": [["z", "p + 18", "p + 38"], ["p", "e + 2", "e + 40"], ["e", "u + 1", "u + 41"], ["u", "t + 1", "t + 42"], ["t", "w + 2", "w + 44"], ["w", 18, "62"]], "target_var_name": "f", "target_value": 62, "value_dict": {"w": 18}, "is_reverse": true}}
| 3,147
| 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 = e + 2; f = z + 20; h = w + 18; n = d + 17; y = b + 3; z = p + 18; b = s + 12; e = u + 1; s = h + 9; t = w + 2; d = y + 16; u = t + 1; w = 18. If w = 18, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = p + 18 to f, which gives f = p + 38.\n2. Substitute p = e + 2 to f, which gives f = e + 40.\n3. Substitute e = u + 1 to f, which gives f = u + 41.\n4. Substitute u = t + 1 to f, which gives f = t + 42.\n5. Substitute t = w + 2 to f, which gives f = w + 44.\n6. Substitute w = 18 to f, which gives f = 62.\n\nThus, the final answer is f = \\boxed{62}.",
"index": 3147,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = e + 2; f = z + 20; h = w + 18; n = d + 17; y = b + 3; z = p + 18; b = s + 12; e = u + 1; s = h + 9; t = w + 2; d = y + 16; u = t + 1; w = 18. If w = 18, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"d": "l + 9", "b": "d + 19", "f": "b + 7", "y": "f + 11", "p": "y + 17", "z": "p + 14", "e": "l + 12", "t": "e + 14", "v": "t + 5", "c": "v + 1", "q": "c + 14", "a": "q + 20", "l": 12}, "premises": {"l": 12}, "target": "z"}, "answer": {"steps": [["p", "y + 17", "y + 31"], ["y", "f + 11", "f + 42"], ["f", "b + 7", "b + 49"], ["b", "d + 19", "d + 68"], ["d", "l + 9", "l + 77"], ["l", 12, "89"]], "target_var_name": "z", "target_value": 89, "value_dict": {"l": 12}, "is_reverse": true}}
| 3,148
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = l + 9; p = y + 17; c = v + 1; a = q + 20; v = t + 5; f = b + 7; y = f + 11; z = p + 14; q = c + 14; l = 12; t = e + 14; e = l + 12; b = d + 19. If l = 12, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = y + 17 to z, which gives z = y + 31.\n2. Substitute y = f + 11 to z, which gives z = f + 42.\n3. Substitute f = b + 7 to z, which gives z = b + 49.\n4. Substitute b = d + 19 to z, which gives z = d + 68.\n5. Substitute d = l + 9 to z, which gives z = l + 77.\n6. Substitute l = 12 to z, which gives z = 89.\n\nThus, the final answer is z = \\boxed{89}.",
"index": 3148,
"question": "Consider a system of variables where each variable is defined as follows: d = l + 9; p = y + 17; c = v + 1; a = q + 20; v = t + 5; f = b + 7; y = f + 11; z = p + 14; q = c + 14; l = 12; t = e + 14; e = l + 12; b = d + 19. If l = 12, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"c": "s + 2", "r": "c + 6", "p": "r + 14", "x": "p + 11", "h": "x + 10", "l": "h + 9", "t": "s + 11", "k": "t + 15", "q": "k + 6", "o": "q + 11", "g": "o + 16", "j": "g + 16", "s": 11}, "premises": {"s": 11}, "target": "l"}, "answer": {"steps": [["h", "x + 10", "x + 19"], ["x", "p + 11", "p + 30"], ["p", "r + 14", "r + 44"], ["r", "c + 6", "c + 50"], ["c", "s + 2", "s + 52"], ["s", 11, "63"]], "target_var_name": "l", "target_value": 63, "value_dict": {"s": 11}, "is_reverse": true}}
| 3,149
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = k + 6; k = t + 15; p = r + 14; l = h + 9; x = p + 11; s = 11; c = s + 2; r = c + 6; g = o + 16; h = x + 10; j = g + 16; o = q + 11; t = s + 11. If s = 11, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = x + 10 to l, which gives l = x + 19.\n2. Substitute x = p + 11 to l, which gives l = p + 30.\n3. Substitute p = r + 14 to l, which gives l = r + 44.\n4. Substitute r = c + 6 to l, which gives l = c + 50.\n5. Substitute c = s + 2 to l, which gives l = s + 52.\n6. Substitute s = 11 to l, which gives l = 63.\n\nThus, the final answer is l = \\boxed{63}.",
"index": 3149,
"question": "Consider a system of variables where each variable is defined as follows: q = k + 6; k = t + 15; p = r + 14; l = h + 9; x = p + 11; s = 11; c = s + 2; r = c + 6; g = o + 16; h = x + 10; j = g + 16; o = q + 11; t = s + 11. If s = 11, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"m": "r + 11", "d": "m + 19", "t": "d + 7", "e": "t + 8", "u": "e + 10", "k": "u + 3", "z": "r + 10", "o": "z + 13", "f": "o + 3", "j": "f + 4", "l": "j + 12", "x": "l + 10", "r": 9}, "premises": {"r": 9}, "target": "k"}, "answer": {"steps": [["u", "e + 10", "e + 13"], ["e", "t + 8", "t + 21"], ["t", "d + 7", "d + 28"], ["d", "m + 19", "m + 47"], ["m", "r + 11", "r + 58"], ["r", 9, "67"]], "target_var_name": "k", "target_value": 67, "value_dict": {"r": 9}, "is_reverse": true}}
| 3,150
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = l + 10; j = f + 4; r = 9; z = r + 10; e = t + 8; k = u + 3; u = e + 10; f = o + 3; m = r + 11; o = z + 13; d = m + 19; l = j + 12; t = d + 7. Given that r = 9, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = e + 10 to k, which gives k = e + 13.\n2. Substitute e = t + 8 to k, which gives k = t + 21.\n3. Substitute t = d + 7 to k, which gives k = d + 28.\n4. Substitute d = m + 19 to k, which gives k = m + 47.\n5. Substitute m = r + 11 to k, which gives k = r + 58.\n6. Substitute r = 9 to k, which gives k = 67.\n\nThus, the final answer is k = \\boxed{67}.",
"index": 3150,
"question": "Suppose a collection of variables is related by the following definitions: x = l + 10; j = f + 4; r = 9; z = r + 10; e = t + 8; k = u + 3; u = e + 10; f = o + 3; m = r + 11; o = z + 13; d = m + 19; l = j + 12; t = d + 7. Given that r = 9, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"m": "j + 8", "u": "m + 11", "o": "u + 16", "h": "o + 15", "p": "h + 15", "l": "p + 16", "t": "j + 15", "i": "t + 2", "r": "i + 5", "g": "r + 14", "d": "g + 7", "f": "d + 7", "j": 1}, "premises": {"j": 1}, "target": "l"}, "answer": {"steps": [["p", "h + 15", "h + 31"], ["h", "o + 15", "o + 46"], ["o", "u + 16", "u + 62"], ["u", "m + 11", "m + 73"], ["m", "j + 8", "j + 81"], ["j", 1, "82"]], "target_var_name": "l", "target_value": 82, "value_dict": {"j": 1}, "is_reverse": true}}
| 3,151
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = d + 7; t = j + 15; r = i + 5; g = r + 14; m = j + 8; o = u + 16; j = 1; h = o + 15; d = g + 7; u = m + 11; i = t + 2; p = h + 15; l = p + 16. Given that j = 1, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = h + 15 to l, which gives l = h + 31.\n2. Substitute h = o + 15 to l, which gives l = o + 46.\n3. Substitute o = u + 16 to l, which gives l = u + 62.\n4. Substitute u = m + 11 to l, which gives l = m + 73.\n5. Substitute m = j + 8 to l, which gives l = j + 81.\n6. Substitute j = 1 to l, which gives l = 82.\n\nThus, the final answer is l = \\boxed{82}.",
"index": 3151,
"question": "Suppose a collection of variables is related by the following definitions: f = d + 7; t = j + 15; r = i + 5; g = r + 14; m = j + 8; o = u + 16; j = 1; h = o + 15; d = g + 7; u = m + 11; i = t + 2; p = h + 15; l = p + 16. Given that j = 1, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"k": "r + 19", "s": "k + 13", "b": "s + 2", "y": "b + 12", "m": "y + 12", "h": "m + 9", "d": "r + 9", "o": "d + 11", "j": "o + 8", "u": "j + 2", "c": "u + 14", "w": "c + 2", "r": 6}, "premises": {"r": 6}, "target": "h"}, "answer": {"steps": [["m", "y + 12", "y + 21"], ["y", "b + 12", "b + 33"], ["b", "s + 2", "s + 35"], ["s", "k + 13", "k + 48"], ["k", "r + 19", "r + 67"], ["r", 6, "73"]], "target_var_name": "h", "target_value": 73, "value_dict": {"r": 6}, "is_reverse": true}}
| 3,152
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = k + 13; u = j + 2; o = d + 11; j = o + 8; d = r + 9; k = r + 19; y = b + 12; b = s + 2; r = 6; w = c + 2; c = u + 14; h = m + 9; m = y + 12. If r = 6, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = y + 12 to h, which gives h = y + 21.\n2. Substitute y = b + 12 to h, which gives h = b + 33.\n3. Substitute b = s + 2 to h, which gives h = s + 35.\n4. Substitute s = k + 13 to h, which gives h = k + 48.\n5. Substitute k = r + 19 to h, which gives h = r + 67.\n6. Substitute r = 6 to h, which gives h = 73.\n\nThus, the final answer is h = \\boxed{73}.",
"index": 3152,
"question": "Consider a system of variables where each variable is defined as follows: s = k + 13; u = j + 2; o = d + 11; j = o + 8; d = r + 9; k = r + 19; y = b + 12; b = s + 2; r = 6; w = c + 2; c = u + 14; h = m + 9; m = y + 12. If r = 6, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"m": "u + 19", "k": "m + 4", "p": "k + 17", "j": "p + 4", "y": "j + 10", "z": "y + 4", "x": "u + 7", "s": "x + 3", "e": "s + 18", "h": "e + 19", "c": "h + 8", "o": "c + 15", "u": 14}, "premises": {"u": 14}, "target": "z"}, "answer": {"steps": [["y", "j + 10", "j + 14"], ["j", "p + 4", "p + 18"], ["p", "k + 17", "k + 35"], ["k", "m + 4", "m + 39"], ["m", "u + 19", "u + 58"], ["u", 14, "72"]], "target_var_name": "z", "target_value": 72, "value_dict": {"u": 14}, "is_reverse": true}}
| 3,153
| 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 = e + 19; y = j + 10; z = y + 4; e = s + 18; p = k + 17; x = u + 7; o = c + 15; c = h + 8; k = m + 4; s = x + 3; u = 14; j = p + 4; m = u + 19. If u = 14, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = j + 10 to z, which gives z = j + 14.\n2. Substitute j = p + 4 to z, which gives z = p + 18.\n3. Substitute p = k + 17 to z, which gives z = k + 35.\n4. Substitute k = m + 4 to z, which gives z = m + 39.\n5. Substitute m = u + 19 to z, which gives z = u + 58.\n6. Substitute u = 14 to z, which gives z = 72.\n\nThus, the final answer is z = \\boxed{72}.",
"index": 3153,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = e + 19; y = j + 10; z = y + 4; e = s + 18; p = k + 17; x = u + 7; o = c + 15; c = h + 8; k = m + 4; s = x + 3; u = 14; j = p + 4; m = u + 19. If u = 14, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"n": "e + 18", "m": "n + 7", "g": "m + 3", "d": "g + 15", "p": "d + 18", "s": "p + 14", "h": "e + 4", "t": "h + 7", "y": "t + 1", "x": "y + 12", "j": "x + 1", "v": "j + 10", "e": 19}, "premises": {"e": 19}, "target": "s"}, "answer": {"steps": [["p", "d + 18", "d + 32"], ["d", "g + 15", "g + 47"], ["g", "m + 3", "m + 50"], ["m", "n + 7", "n + 57"], ["n", "e + 18", "e + 75"], ["e", 19, "94"]], "target_var_name": "s", "target_value": 94, "value_dict": {"e": 19}, "is_reverse": true}}
| 3,154
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = g + 15; t = h + 7; p = d + 18; s = p + 14; m = n + 7; j = x + 1; x = y + 12; n = e + 18; v = j + 10; e = 19; g = m + 3; y = t + 1; h = e + 4. If e = 19, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = d + 18 to s, which gives s = d + 32.\n2. Substitute d = g + 15 to s, which gives s = g + 47.\n3. Substitute g = m + 3 to s, which gives s = m + 50.\n4. Substitute m = n + 7 to s, which gives s = n + 57.\n5. Substitute n = e + 18 to s, which gives s = e + 75.\n6. Substitute e = 19 to s, which gives s = 94.\n\nThus, the final answer is s = \\boxed{94}.",
"index": 3154,
"question": "Consider a system of variables where each variable is defined as follows: d = g + 15; t = h + 7; p = d + 18; s = p + 14; m = n + 7; j = x + 1; x = y + 12; n = e + 18; v = j + 10; e = 19; g = m + 3; y = t + 1; h = e + 4. If e = 19, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"y": "r + 3", "i": "y + 17", "p": "i + 12", "u": "p + 16", "a": "u + 20", "o": "a + 14", "w": "r + 12", "j": "w + 11", "s": "j + 18", "z": "s + 3", "d": "z + 19", "g": "d + 9", "r": 1}, "premises": {"r": 1}, "target": "o"}, "answer": {"steps": [["a", "u + 20", "u + 34"], ["u", "p + 16", "p + 50"], ["p", "i + 12", "i + 62"], ["i", "y + 17", "y + 79"], ["y", "r + 3", "r + 82"], ["r", 1, "83"]], "target_var_name": "o", "target_value": 83, "value_dict": {"r": 1}, "is_reverse": true}}
| 3,155
| 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 + 17; d = z + 19; g = d + 9; s = j + 18; p = i + 12; u = p + 16; y = r + 3; z = s + 3; w = r + 12; a = u + 20; j = w + 11; o = a + 14; r = 1. If r = 1, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = u + 20 to o, which gives o = u + 34.\n2. Substitute u = p + 16 to o, which gives o = p + 50.\n3. Substitute p = i + 12 to o, which gives o = i + 62.\n4. Substitute i = y + 17 to o, which gives o = y + 79.\n5. Substitute y = r + 3 to o, which gives o = r + 82.\n6. Substitute r = 1 to o, which gives o = 83.\n\nThus, the final answer is o = \\boxed{83}.",
"index": 3155,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = y + 17; d = z + 19; g = d + 9; s = j + 18; p = i + 12; u = p + 16; y = r + 3; z = s + 3; w = r + 12; a = u + 20; j = w + 11; o = a + 14; r = 1. If r = 1, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"b": "x + 1", "u": "b + 13", "f": "u + 5", "e": "f + 19", "a": "e + 20", "v": "a + 19", "r": "x + 6", "o": "r + 11", "y": "o + 18", "p": "y + 7", "d": "p + 16", "n": "d + 19", "x": 11}, "premises": {"x": 11}, "target": "v"}, "answer": {"steps": [["a", "e + 20", "e + 39"], ["e", "f + 19", "f + 58"], ["f", "u + 5", "u + 63"], ["u", "b + 13", "b + 76"], ["b", "x + 1", "x + 77"], ["x", 11, "88"]], "target_var_name": "v", "target_value": 88, "value_dict": {"x": 11}, "is_reverse": true}}
| 3,156
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = d + 19; a = e + 20; y = o + 18; o = r + 11; v = a + 19; x = 11; d = p + 16; b = x + 1; e = f + 19; f = u + 5; u = b + 13; r = x + 6; p = y + 7. If x = 11, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = e + 20 to v, which gives v = e + 39.\n2. Substitute e = f + 19 to v, which gives v = f + 58.\n3. Substitute f = u + 5 to v, which gives v = u + 63.\n4. Substitute u = b + 13 to v, which gives v = b + 76.\n5. Substitute b = x + 1 to v, which gives v = x + 77.\n6. Substitute x = 11 to v, which gives v = 88.\n\nThus, the final answer is v = \\boxed{88}.",
"index": 3156,
"question": "Consider a system of variables where each variable is defined as follows: n = d + 19; a = e + 20; y = o + 18; o = r + 11; v = a + 19; x = 11; d = p + 16; b = x + 1; e = f + 19; f = u + 5; u = b + 13; r = x + 6; p = y + 7. If x = 11, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"j": "v + 3", "l": "j + 11", "b": "l + 19", "h": "b + 2", "f": "h + 12", "e": "f + 11", "s": "v + 11", "p": "s + 18", "u": "p + 12", "z": "u + 10", "x": "z + 17", "q": "x + 4", "v": 16}, "premises": {"v": 16}, "target": "e"}, "answer": {"steps": [["f", "h + 12", "h + 23"], ["h", "b + 2", "b + 25"], ["b", "l + 19", "l + 44"], ["l", "j + 11", "j + 55"], ["j", "v + 3", "v + 58"], ["v", 16, "74"]], "target_var_name": "e", "target_value": 74, "value_dict": {"v": 16}, "is_reverse": true}}
| 3,157
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = h + 12; b = l + 19; q = x + 4; v = 16; s = v + 11; p = s + 18; z = u + 10; h = b + 2; e = f + 11; u = p + 12; x = z + 17; l = j + 11; j = v + 3. If v = 16, what is the resulting 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 f = h + 12 to e, which gives e = h + 23.\n2. Substitute h = b + 2 to e, which gives e = b + 25.\n3. Substitute b = l + 19 to e, which gives e = l + 44.\n4. Substitute l = j + 11 to e, which gives e = j + 55.\n5. Substitute j = v + 3 to e, which gives e = v + 58.\n6. Substitute v = 16 to e, which gives e = 74.\n\nThus, the final answer is e = \\boxed{74}.",
"index": 3157,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = h + 12; b = l + 19; q = x + 4; v = 16; s = v + 11; p = s + 18; z = u + 10; h = b + 2; e = f + 11; u = p + 12; x = z + 17; l = j + 11; j = v + 3. If v = 16, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"x": "t + 12", "p": "x + 6", "n": "p + 4", "c": "n + 14", "w": "c + 15", "r": "w + 15", "f": "t + 19", "h": "f + 6", "q": "h + 17", "v": "q + 10", "l": "v + 9", "b": "l + 5", "t": 17}, "premises": {"t": 17}, "target": "r"}, "answer": {"steps": [["w", "c + 15", "c + 30"], ["c", "n + 14", "n + 44"], ["n", "p + 4", "p + 48"], ["p", "x + 6", "x + 54"], ["x", "t + 12", "t + 66"], ["t", 17, "83"]], "target_var_name": "r", "target_value": 83, "value_dict": {"t": 17}, "is_reverse": true}}
| 3,158
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = t + 12; t = 17; v = q + 10; p = x + 6; q = h + 17; c = n + 14; l = v + 9; f = t + 19; b = l + 5; h = f + 6; w = c + 15; r = w + 15; n = p + 4. If t = 17, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = c + 15 to r, which gives r = c + 30.\n2. Substitute c = n + 14 to r, which gives r = n + 44.\n3. Substitute n = p + 4 to r, which gives r = p + 48.\n4. Substitute p = x + 6 to r, which gives r = x + 54.\n5. Substitute x = t + 12 to r, which gives r = t + 66.\n6. Substitute t = 17 to r, which gives r = 83.\n\nThus, the final answer is r = \\boxed{83}.",
"index": 3158,
"question": "Consider a system of variables where each variable is defined as follows: x = t + 12; t = 17; v = q + 10; p = x + 6; q = h + 17; c = n + 14; l = v + 9; f = t + 19; b = l + 5; h = f + 6; w = c + 15; r = w + 15; n = p + 4. If t = 17, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"m": "c + 19", "v": "m + 1", "o": "v + 13", "a": "o + 16", "k": "a + 18", "i": "k + 19", "z": "c + 9", "s": "z + 19", "e": "s + 11", "x": "e + 1", "h": "x + 20", "r": "h + 16", "c": 3}, "premises": {"c": 3}, "target": "i"}, "answer": {"steps": [["k", "a + 18", "a + 37"], ["a", "o + 16", "o + 53"], ["o", "v + 13", "v + 66"], ["v", "m + 1", "m + 67"], ["m", "c + 19", "c + 86"], ["c", 3, "89"]], "target_var_name": "i", "target_value": 89, "value_dict": {"c": 3}, "is_reverse": true}}
| 3,159
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = h + 16; c = 3; m = c + 19; h = x + 20; s = z + 19; a = o + 16; e = s + 11; o = v + 13; k = a + 18; v = m + 1; z = c + 9; x = e + 1; i = k + 19. If c = 3, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = a + 18 to i, which gives i = a + 37.\n2. Substitute a = o + 16 to i, which gives i = o + 53.\n3. Substitute o = v + 13 to i, which gives i = v + 66.\n4. Substitute v = m + 1 to i, which gives i = m + 67.\n5. Substitute m = c + 19 to i, which gives i = c + 86.\n6. Substitute c = 3 to i, which gives i = 89.\n\nThus, the final answer is i = \\boxed{89}.",
"index": 3159,
"question": "Consider a system of variables where each variable is defined as follows: r = h + 16; c = 3; m = c + 19; h = x + 20; s = z + 19; a = o + 16; e = s + 11; o = v + 13; k = a + 18; v = m + 1; z = c + 9; x = e + 1; i = k + 19. If c = 3, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"w": "g + 5", "d": "w + 7", "o": "d + 1", "a": "o + 9", "b": "a + 8", "t": "b + 5", "j": "g + 10", "i": "j + 13", "p": "i + 17", "h": "p + 6", "z": "h + 19", "q": "z + 1", "g": 19}, "premises": {"g": 19}, "target": "t"}, "answer": {"steps": [["b", "a + 8", "a + 13"], ["a", "o + 9", "o + 22"], ["o", "d + 1", "d + 23"], ["d", "w + 7", "w + 30"], ["w", "g + 5", "g + 35"], ["g", 19, "54"]], "target_var_name": "t", "target_value": 54, "value_dict": {"g": 19}, "is_reverse": true}}
| 3,160
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = d + 1; i = j + 13; g = 19; z = h + 19; d = w + 7; h = p + 6; p = i + 17; q = z + 1; b = a + 8; a = o + 9; w = g + 5; t = b + 5; j = g + 10. If g = 19, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = a + 8 to t, which gives t = a + 13.\n2. Substitute a = o + 9 to t, which gives t = o + 22.\n3. Substitute o = d + 1 to t, which gives t = d + 23.\n4. Substitute d = w + 7 to t, which gives t = w + 30.\n5. Substitute w = g + 5 to t, which gives t = g + 35.\n6. Substitute g = 19 to t, which gives t = 54.\n\nThus, the final answer is t = \\boxed{54}.",
"index": 3160,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = d + 1; i = j + 13; g = 19; z = h + 19; d = w + 7; h = p + 6; p = i + 17; q = z + 1; b = a + 8; a = o + 9; w = g + 5; t = b + 5; j = g + 10. If g = 19, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"i": "a + 10", "x": "i + 1", "r": "x + 14", "h": "r + 17", "u": "h + 4", "e": "u + 10", "c": "a + 4", "f": "c + 14", "b": "f + 14", "j": "b + 5", "p": "j + 17", "m": "p + 11", "a": 2}, "premises": {"a": 2}, "target": "e"}, "answer": {"steps": [["u", "h + 4", "h + 14"], ["h", "r + 17", "r + 31"], ["r", "x + 14", "x + 45"], ["x", "i + 1", "i + 46"], ["i", "a + 10", "a + 56"], ["a", 2, "58"]], "target_var_name": "e", "target_value": 58, "value_dict": {"a": 2}, "is_reverse": true}}
| 3,161
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = f + 14; a = 2; f = c + 14; u = h + 4; r = x + 14; j = b + 5; h = r + 17; x = i + 1; i = a + 10; m = p + 11; p = j + 17; c = a + 4; e = u + 10. Given that a = 2, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = h + 4 to e, which gives e = h + 14.\n2. Substitute h = r + 17 to e, which gives e = r + 31.\n3. Substitute r = x + 14 to e, which gives e = x + 45.\n4. Substitute x = i + 1 to e, which gives e = i + 46.\n5. Substitute i = a + 10 to e, which gives e = a + 56.\n6. Substitute a = 2 to e, which gives e = 58.\n\nThus, the final answer is e = \\boxed{58}.",
"index": 3161,
"question": "Suppose a collection of variables is related by the following definitions: b = f + 14; a = 2; f = c + 14; u = h + 4; r = x + 14; j = b + 5; h = r + 17; x = i + 1; i = a + 10; m = p + 11; p = j + 17; c = a + 4; e = u + 10. Given that a = 2, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"i": "f + 6", "s": "i + 10", "v": "s + 11", "c": "v + 5", "d": "c + 15", "j": "d + 2", "e": "f + 14", "k": "e + 18", "x": "k + 2", "h": "x + 10", "n": "h + 19", "q": "n + 14", "f": 4}, "premises": {"f": 4}, "target": "j"}, "answer": {"steps": [["d", "c + 15", "c + 17"], ["c", "v + 5", "v + 22"], ["v", "s + 11", "s + 33"], ["s", "i + 10", "i + 43"], ["i", "f + 6", "f + 49"], ["f", 4, "53"]], "target_var_name": "j", "target_value": 53, "value_dict": {"f": 4}, "is_reverse": true}}
| 3,162
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = d + 2; c = v + 5; s = i + 10; f = 4; h = x + 10; e = f + 14; x = k + 2; k = e + 18; d = c + 15; q = n + 14; i = f + 6; v = s + 11; n = h + 19. If f = 4, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = c + 15 to j, which gives j = c + 17.\n2. Substitute c = v + 5 to j, which gives j = v + 22.\n3. Substitute v = s + 11 to j, which gives j = s + 33.\n4. Substitute s = i + 10 to j, which gives j = i + 43.\n5. Substitute i = f + 6 to j, which gives j = f + 49.\n6. Substitute f = 4 to j, which gives j = 53.\n\nThus, the final answer is j = \\boxed{53}.",
"index": 3162,
"question": "Consider a system of variables where each variable is defined as follows: j = d + 2; c = v + 5; s = i + 10; f = 4; h = x + 10; e = f + 14; x = k + 2; k = e + 18; d = c + 15; q = n + 14; i = f + 6; v = s + 11; n = h + 19. If f = 4, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"u": "p + 5", "t": "u + 5", "k": "t + 3", "h": "k + 19", "f": "h + 8", "z": "f + 8", "b": "p + 15", "o": "b + 9", "d": "o + 3", "g": "d + 1", "l": "g + 3", "n": "l + 16", "p": 3}, "premises": {"p": 3}, "target": "z"}, "answer": {"steps": [["f", "h + 8", "h + 16"], ["h", "k + 19", "k + 35"], ["k", "t + 3", "t + 38"], ["t", "u + 5", "u + 43"], ["u", "p + 5", "p + 48"], ["p", 3, "51"]], "target_var_name": "z", "target_value": 51, "value_dict": {"p": 3}, "is_reverse": true}}
| 3,163
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = k + 19; k = t + 3; o = b + 9; g = d + 1; p = 3; d = o + 3; z = f + 8; b = p + 15; t = u + 5; f = h + 8; n = l + 16; l = g + 3; u = p + 5. Given that p = 3, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = h + 8 to z, which gives z = h + 16.\n2. Substitute h = k + 19 to z, which gives z = k + 35.\n3. Substitute k = t + 3 to z, which gives z = t + 38.\n4. Substitute t = u + 5 to z, which gives z = u + 43.\n5. Substitute u = p + 5 to z, which gives z = p + 48.\n6. Substitute p = 3 to z, which gives z = 51.\n\nThus, the final answer is z = \\boxed{51}.",
"index": 3163,
"question": "Suppose a collection of variables is related by the following definitions: h = k + 19; k = t + 3; o = b + 9; g = d + 1; p = 3; d = o + 3; z = f + 8; b = p + 15; t = u + 5; f = h + 8; n = l + 16; l = g + 3; u = p + 5. Given that p = 3, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"c": "p + 15", "h": "c + 10", "z": "h + 6", "k": "z + 17", "x": "k + 4", "n": "x + 10", "f": "p + 14", "o": "f + 2", "w": "o + 17", "a": "w + 14", "b": "a + 8", "r": "b + 11", "p": 6}, "premises": {"p": 6}, "target": "n"}, "answer": {"steps": [["x", "k + 4", "k + 14"], ["k", "z + 17", "z + 31"], ["z", "h + 6", "h + 37"], ["h", "c + 10", "c + 47"], ["c", "p + 15", "p + 62"], ["p", 6, "68"]], "target_var_name": "n", "target_value": 68, "value_dict": {"p": 6}, "is_reverse": true}}
| 3,164
| 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 + 10; o = f + 2; f = p + 14; r = b + 11; b = a + 8; x = k + 4; p = 6; w = o + 17; a = w + 14; n = x + 10; z = h + 6; k = z + 17; c = p + 15. If p = 6, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = k + 4 to n, which gives n = k + 14.\n2. Substitute k = z + 17 to n, which gives n = z + 31.\n3. Substitute z = h + 6 to n, which gives n = h + 37.\n4. Substitute h = c + 10 to n, which gives n = c + 47.\n5. Substitute c = p + 15 to n, which gives n = p + 62.\n6. Substitute p = 6 to n, which gives n = 68.\n\nThus, the final answer is n = \\boxed{68}.",
"index": 3164,
"question": "Consider a system of variables where each variable is defined as follows: h = c + 10; o = f + 2; f = p + 14; r = b + 11; b = a + 8; x = k + 4; p = 6; w = o + 17; a = w + 14; n = x + 10; z = h + 6; k = z + 17; c = p + 15. If p = 6, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"v": "o + 19", "m": "v + 17", "g": "m + 17", "d": "g + 9", "l": "d + 20", "h": "l + 9", "p": "o + 4", "u": "p + 13", "r": "u + 16", "y": "r + 9", "s": "y + 18", "z": "s + 6", "o": 15}, "premises": {"o": 15}, "target": "h"}, "answer": {"steps": [["l", "d + 20", "d + 29"], ["d", "g + 9", "g + 38"], ["g", "m + 17", "m + 55"], ["m", "v + 17", "v + 72"], ["v", "o + 19", "o + 91"], ["o", 15, "106"]], "target_var_name": "h", "target_value": 106, "value_dict": {"o": 15}, "is_reverse": true}}
| 3,165
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = l + 9; u = p + 13; y = r + 9; o = 15; l = d + 20; r = u + 16; s = y + 18; z = s + 6; p = o + 4; g = m + 17; v = o + 19; d = g + 9; m = v + 17. If o = 15, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 106,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = d + 20 to h, which gives h = d + 29.\n2. Substitute d = g + 9 to h, which gives h = g + 38.\n3. Substitute g = m + 17 to h, which gives h = m + 55.\n4. Substitute m = v + 17 to h, which gives h = v + 72.\n5. Substitute v = o + 19 to h, which gives h = o + 91.\n6. Substitute o = 15 to h, which gives h = 106.\n\nThus, the final answer is h = \\boxed{106}.",
"index": 3165,
"question": "Consider a system of variables where each variable is defined as follows: h = l + 9; u = p + 13; y = r + 9; o = 15; l = d + 20; r = u + 16; s = y + 18; z = s + 6; p = o + 4; g = m + 17; v = o + 19; d = g + 9; m = v + 17. If o = 15, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"g": "z + 17", "u": "g + 17", "q": "u + 1", "k": "q + 18", "i": "k + 18", "e": "i + 12", "c": "z + 15", "d": "c + 9", "o": "d + 20", "p": "o + 19", "w": "p + 19", "t": "w + 8", "z": 2}, "premises": {"z": 2}, "target": "e"}, "answer": {"steps": [["i", "k + 18", "k + 30"], ["k", "q + 18", "q + 48"], ["q", "u + 1", "u + 49"], ["u", "g + 17", "g + 66"], ["g", "z + 17", "z + 83"], ["z", 2, "85"]], "target_var_name": "e", "target_value": 85, "value_dict": {"z": 2}, "is_reverse": true}}
| 3,166
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = p + 19; p = o + 19; o = d + 20; g = z + 17; i = k + 18; u = g + 17; t = w + 8; d = c + 9; c = z + 15; z = 2; k = q + 18; q = u + 1; e = i + 12. Given that z = 2, 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 i = k + 18 to e, which gives e = k + 30.\n2. Substitute k = q + 18 to e, which gives e = q + 48.\n3. Substitute q = u + 1 to e, which gives e = u + 49.\n4. Substitute u = g + 17 to e, which gives e = g + 66.\n5. Substitute g = z + 17 to e, which gives e = z + 83.\n6. Substitute z = 2 to e, which gives e = 85.\n\nThus, the final answer is e = \\boxed{85}.",
"index": 3166,
"question": "Suppose a collection of variables is related by the following definitions: w = p + 19; p = o + 19; o = d + 20; g = z + 17; i = k + 18; u = g + 17; t = w + 8; d = c + 9; c = z + 15; z = 2; k = q + 18; q = u + 1; e = i + 12. Given that z = 2, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"k": "u + 6", "a": "k + 11", "x": "a + 17", "o": "x + 19", "p": "o + 6", "z": "p + 18", "g": "u + 10", "l": "g + 8", "j": "l + 4", "r": "j + 15", "y": "r + 16", "v": "y + 6", "u": 1}, "premises": {"u": 1}, "target": "z"}, "answer": {"steps": [["p", "o + 6", "o + 24"], ["o", "x + 19", "x + 43"], ["x", "a + 17", "a + 60"], ["a", "k + 11", "k + 71"], ["k", "u + 6", "u + 77"], ["u", 1, "78"]], "target_var_name": "z", "target_value": 78, "value_dict": {"u": 1}, "is_reverse": true}}
| 3,167
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = u + 6; z = p + 18; y = r + 16; o = x + 19; l = g + 8; x = a + 17; g = u + 10; r = j + 15; a = k + 11; j = l + 4; v = y + 6; u = 1; p = o + 6. If u = 1, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = o + 6 to z, which gives z = o + 24.\n2. Substitute o = x + 19 to z, which gives z = x + 43.\n3. Substitute x = a + 17 to z, which gives z = a + 60.\n4. Substitute a = k + 11 to z, which gives z = k + 71.\n5. Substitute k = u + 6 to z, which gives z = u + 77.\n6. Substitute u = 1 to z, which gives z = 78.\n\nThus, the final answer is z = \\boxed{78}.",
"index": 3167,
"question": "Consider a system of variables where each variable is defined as follows: k = u + 6; z = p + 18; y = r + 16; o = x + 19; l = g + 8; x = a + 17; g = u + 10; r = j + 15; a = k + 11; j = l + 4; v = y + 6; u = 1; p = o + 6. If u = 1, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"f": "m + 8", "v": "f + 11", "d": "v + 16", "t": "d + 19", "e": "t + 2", "n": "e + 10", "o": "m + 8", "q": "o + 19", "x": "q + 14", "a": "x + 4", "u": "a + 11", "k": "u + 13", "m": 17}, "premises": {"m": 17}, "target": "n"}, "answer": {"steps": [["e", "t + 2", "t + 12"], ["t", "d + 19", "d + 31"], ["d", "v + 16", "v + 47"], ["v", "f + 11", "f + 58"], ["f", "m + 8", "m + 66"], ["m", 17, "83"]], "target_var_name": "n", "target_value": 83, "value_dict": {"m": 17}, "is_reverse": true}}
| 3,168
| 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 = f + 11; k = u + 13; m = 17; n = e + 10; f = m + 8; e = t + 2; o = m + 8; d = v + 16; t = d + 19; u = a + 11; q = o + 19; x = q + 14; a = x + 4. If m = 17, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = t + 2 to n, which gives n = t + 12.\n2. Substitute t = d + 19 to n, which gives n = d + 31.\n3. Substitute d = v + 16 to n, which gives n = v + 47.\n4. Substitute v = f + 11 to n, which gives n = f + 58.\n5. Substitute f = m + 8 to n, which gives n = m + 66.\n6. Substitute m = 17 to n, which gives n = 83.\n\nThus, the final answer is n = \\boxed{83}.",
"index": 3168,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = f + 11; k = u + 13; m = 17; n = e + 10; f = m + 8; e = t + 2; o = m + 8; d = v + 16; t = d + 19; u = a + 11; q = o + 19; x = q + 14; a = x + 4. If m = 17, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"c": "w + 5", "r": "c + 20", "l": "r + 12", "i": "l + 16", "d": "i + 8", "v": "d + 8", "x": "w + 17", "k": "x + 8", "f": "k + 18", "a": "f + 1", "z": "a + 8", "g": "z + 8", "w": 11}, "premises": {"w": 11}, "target": "v"}, "answer": {"steps": [["d", "i + 8", "i + 16"], ["i", "l + 16", "l + 32"], ["l", "r + 12", "r + 44"], ["r", "c + 20", "c + 64"], ["c", "w + 5", "w + 69"], ["w", 11, "80"]], "target_var_name": "v", "target_value": 80, "value_dict": {"w": 11}, "is_reverse": true}}
| 3,169
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = l + 16; z = a + 8; d = i + 8; k = x + 8; w = 11; l = r + 12; r = c + 20; f = k + 18; g = z + 8; c = w + 5; a = f + 1; v = d + 8; x = w + 17. If w = 11, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = i + 8 to v, which gives v = i + 16.\n2. Substitute i = l + 16 to v, which gives v = l + 32.\n3. Substitute l = r + 12 to v, which gives v = r + 44.\n4. Substitute r = c + 20 to v, which gives v = c + 64.\n5. Substitute c = w + 5 to v, which gives v = w + 69.\n6. Substitute w = 11 to v, which gives v = 80.\n\nThus, the final answer is v = \\boxed{80}.",
"index": 3169,
"question": "Consider a system of variables where each variable is defined as follows: i = l + 16; z = a + 8; d = i + 8; k = x + 8; w = 11; l = r + 12; r = c + 20; f = k + 18; g = z + 8; c = w + 5; a = f + 1; v = d + 8; x = w + 17. If w = 11, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"m": "k + 6", "t": "m + 8", "l": "t + 7", "e": "l + 11", "v": "e + 14", "w": "v + 13", "y": "k + 1", "h": "y + 10", "a": "h + 13", "n": "a + 11", "i": "n + 12", "u": "i + 3", "k": 18}, "premises": {"k": 18}, "target": "w"}, "answer": {"steps": [["v", "e + 14", "e + 27"], ["e", "l + 11", "l + 38"], ["l", "t + 7", "t + 45"], ["t", "m + 8", "m + 53"], ["m", "k + 6", "k + 59"], ["k", 18, "77"]], "target_var_name": "w", "target_value": 77, "value_dict": {"k": 18}, "is_reverse": true}}
| 3,170
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = t + 7; u = i + 3; v = e + 14; k = 18; t = m + 8; w = v + 13; n = a + 11; a = h + 13; h = y + 10; e = l + 11; y = k + 1; m = k + 6; i = n + 12. If k = 18, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = e + 14 to w, which gives w = e + 27.\n2. Substitute e = l + 11 to w, which gives w = l + 38.\n3. Substitute l = t + 7 to w, which gives w = t + 45.\n4. Substitute t = m + 8 to w, which gives w = m + 53.\n5. Substitute m = k + 6 to w, which gives w = k + 59.\n6. Substitute k = 18 to w, which gives w = 77.\n\nThus, the final answer is w = \\boxed{77}.",
"index": 3170,
"question": "Consider a system of variables where each variable is defined as follows: l = t + 7; u = i + 3; v = e + 14; k = 18; t = m + 8; w = v + 13; n = a + 11; a = h + 13; h = y + 10; e = l + 11; y = k + 1; m = k + 6; i = n + 12. If k = 18, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"v": "j + 3", "u": "v + 12", "c": "u + 9", "w": "c + 6", "q": "w + 1", "x": "q + 17", "a": "j + 10", "k": "a + 17", "r": "k + 5", "b": "r + 9", "p": "b + 18", "z": "p + 3", "j": 15}, "premises": {"j": 15}, "target": "x"}, "answer": {"steps": [["q", "w + 1", "w + 18"], ["w", "c + 6", "c + 24"], ["c", "u + 9", "u + 33"], ["u", "v + 12", "v + 45"], ["v", "j + 3", "j + 48"], ["j", 15, "63"]], "target_var_name": "x", "target_value": 63, "value_dict": {"j": 15}, "is_reverse": true}}
| 3,171
| 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 = r + 9; a = j + 10; x = q + 17; w = c + 6; p = b + 18; r = k + 5; v = j + 3; k = a + 17; q = w + 1; u = v + 12; j = 15; z = p + 3; c = u + 9. If j = 15, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = w + 1 to x, which gives x = w + 18.\n2. Substitute w = c + 6 to x, which gives x = c + 24.\n3. Substitute c = u + 9 to x, which gives x = u + 33.\n4. Substitute u = v + 12 to x, which gives x = v + 45.\n5. Substitute v = j + 3 to x, which gives x = j + 48.\n6. Substitute j = 15 to x, which gives x = 63.\n\nThus, the final answer is x = \\boxed{63}.",
"index": 3171,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = r + 9; a = j + 10; x = q + 17; w = c + 6; p = b + 18; r = k + 5; v = j + 3; k = a + 17; q = w + 1; u = v + 12; j = 15; z = p + 3; c = u + 9. If j = 15, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"t": "l + 9", "n": "t + 16", "z": "n + 1", "f": "z + 18", "w": "f + 6", "i": "w + 12", "u": "l + 14", "d": "u + 13", "o": "d + 10", "s": "o + 7", "a": "s + 20", "m": "a + 9", "l": 15}, "premises": {"l": 15}, "target": "i"}, "answer": {"steps": [["w", "f + 6", "f + 18"], ["f", "z + 18", "z + 36"], ["z", "n + 1", "n + 37"], ["n", "t + 16", "t + 53"], ["t", "l + 9", "l + 62"], ["l", 15, "77"]], "target_var_name": "i", "target_value": 77, "value_dict": {"l": 15}, "is_reverse": true}}
| 3,172
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = l + 9; m = a + 9; w = f + 6; d = u + 13; a = s + 20; n = t + 16; l = 15; f = z + 18; i = w + 12; z = n + 1; o = d + 10; u = l + 14; s = o + 7. If l = 15, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = f + 6 to i, which gives i = f + 18.\n2. Substitute f = z + 18 to i, which gives i = z + 36.\n3. Substitute z = n + 1 to i, which gives i = n + 37.\n4. Substitute n = t + 16 to i, which gives i = t + 53.\n5. Substitute t = l + 9 to i, which gives i = l + 62.\n6. Substitute l = 15 to i, which gives i = 77.\n\nThus, the final answer is i = \\boxed{77}.",
"index": 3172,
"question": "Consider a system of variables where each variable is defined as follows: t = l + 9; m = a + 9; w = f + 6; d = u + 13; a = s + 20; n = t + 16; l = 15; f = z + 18; i = w + 12; z = n + 1; o = d + 10; u = l + 14; s = o + 7. If l = 15, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"l": "d + 18", "b": "l + 16", "h": "b + 19", "e": "h + 4", "o": "e + 16", "m": "o + 20", "g": "d + 16", "p": "g + 17", "k": "p + 9", "i": "k + 9", "c": "i + 19", "u": "c + 10", "d": 8}, "premises": {"d": 8}, "target": "m"}, "answer": {"steps": [["o", "e + 16", "e + 36"], ["e", "h + 4", "h + 40"], ["h", "b + 19", "b + 59"], ["b", "l + 16", "l + 75"], ["l", "d + 18", "d + 93"], ["d", 8, "101"]], "target_var_name": "m", "target_value": 101, "value_dict": {"d": 8}, "is_reverse": true}}
| 3,173
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = o + 20; p = g + 17; i = k + 9; b = l + 16; l = d + 18; d = 8; u = c + 10; e = h + 4; g = d + 16; c = i + 19; o = e + 16; h = b + 19; k = p + 9. Given that d = 8, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 101,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = e + 16 to m, which gives m = e + 36.\n2. Substitute e = h + 4 to m, which gives m = h + 40.\n3. Substitute h = b + 19 to m, which gives m = b + 59.\n4. Substitute b = l + 16 to m, which gives m = l + 75.\n5. Substitute l = d + 18 to m, which gives m = d + 93.\n6. Substitute d = 8 to m, which gives m = 101.\n\nThus, the final answer is m = \\boxed{101}.",
"index": 3173,
"question": "Suppose a collection of variables is related by the following definitions: m = o + 20; p = g + 17; i = k + 9; b = l + 16; l = d + 18; d = 8; u = c + 10; e = h + 4; g = d + 16; c = i + 19; o = e + 16; h = b + 19; k = p + 9. Given that d = 8, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"g": "y + 1", "e": "g + 15", "o": "e + 11", "p": "o + 20", "b": "p + 4", "v": "b + 12", "i": "y + 20", "n": "i + 7", "r": "n + 14", "m": "r + 17", "s": "m + 12", "c": "s + 10", "y": 14}, "premises": {"y": 14}, "target": "v"}, "answer": {"steps": [["b", "p + 4", "p + 16"], ["p", "o + 20", "o + 36"], ["o", "e + 11", "e + 47"], ["e", "g + 15", "g + 62"], ["g", "y + 1", "y + 63"], ["y", 14, "77"]], "target_var_name": "v", "target_value": 77, "value_dict": {"y": 14}, "is_reverse": true}}
| 3,174
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = i + 7; e = g + 15; y = 14; g = y + 1; i = y + 20; p = o + 20; v = b + 12; c = s + 10; b = p + 4; m = r + 17; r = n + 14; s = m + 12; o = e + 11. Given that y = 14, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = p + 4 to v, which gives v = p + 16.\n2. Substitute p = o + 20 to v, which gives v = o + 36.\n3. Substitute o = e + 11 to v, which gives v = e + 47.\n4. Substitute e = g + 15 to v, which gives v = g + 62.\n5. Substitute g = y + 1 to v, which gives v = y + 63.\n6. Substitute y = 14 to v, which gives v = 77.\n\nThus, the final answer is v = \\boxed{77}.",
"index": 3174,
"question": "Suppose a collection of variables is related by the following definitions: n = i + 7; e = g + 15; y = 14; g = y + 1; i = y + 20; p = o + 20; v = b + 12; c = s + 10; b = p + 4; m = r + 17; r = n + 14; s = m + 12; o = e + 11. Given that y = 14, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"g": "m + 15", "i": "g + 12", "b": "i + 2", "v": "b + 14", "p": "v + 7", "k": "p + 9", "f": "m + 13", "n": "f + 10", "a": "n + 6", "y": "a + 7", "x": "y + 4", "w": "x + 3", "m": 3}, "premises": {"m": 3}, "target": "k"}, "answer": {"steps": [["p", "v + 7", "v + 16"], ["v", "b + 14", "b + 30"], ["b", "i + 2", "i + 32"], ["i", "g + 12", "g + 44"], ["g", "m + 15", "m + 59"], ["m", 3, "62"]], "target_var_name": "k", "target_value": 62, "value_dict": {"m": 3}, "is_reverse": true}}
| 3,175
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = g + 12; w = x + 3; x = y + 4; y = a + 7; k = p + 9; a = n + 6; f = m + 13; m = 3; g = m + 15; b = i + 2; p = v + 7; v = b + 14; n = f + 10. Given that m = 3, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = v + 7 to k, which gives k = v + 16.\n2. Substitute v = b + 14 to k, which gives k = b + 30.\n3. Substitute b = i + 2 to k, which gives k = i + 32.\n4. Substitute i = g + 12 to k, which gives k = g + 44.\n5. Substitute g = m + 15 to k, which gives k = m + 59.\n6. Substitute m = 3 to k, which gives k = 62.\n\nThus, the final answer is k = \\boxed{62}.",
"index": 3175,
"question": "Suppose a collection of variables is related by the following definitions: i = g + 12; w = x + 3; x = y + 4; y = a + 7; k = p + 9; a = n + 6; f = m + 13; m = 3; g = m + 15; b = i + 2; p = v + 7; v = b + 14; n = f + 10. Given that m = 3, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"c": "f + 5", "i": "c + 20", "h": "i + 13", "b": "h + 7", "z": "b + 7", "o": "z + 10", "n": "f + 10", "r": "n + 5", "s": "r + 3", "g": "s + 9", "v": "g + 3", "l": "v + 1", "f": 19}, "premises": {"f": 19}, "target": "o"}, "answer": {"steps": [["z", "b + 7", "b + 17"], ["b", "h + 7", "h + 24"], ["h", "i + 13", "i + 37"], ["i", "c + 20", "c + 57"], ["c", "f + 5", "f + 62"], ["f", 19, "81"]], "target_var_name": "o", "target_value": 81, "value_dict": {"f": 19}, "is_reverse": true}}
| 3,176
| 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 = c + 20; o = z + 10; f = 19; v = g + 3; g = s + 9; z = b + 7; c = f + 5; l = v + 1; n = f + 10; s = r + 3; b = h + 7; h = i + 13; r = n + 5. If f = 19, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = b + 7 to o, which gives o = b + 17.\n2. Substitute b = h + 7 to o, which gives o = h + 24.\n3. Substitute h = i + 13 to o, which gives o = i + 37.\n4. Substitute i = c + 20 to o, which gives o = c + 57.\n5. Substitute c = f + 5 to o, which gives o = f + 62.\n6. Substitute f = 19 to o, which gives o = 81.\n\nThus, the final answer is o = \\boxed{81}.",
"index": 3176,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = c + 20; o = z + 10; f = 19; v = g + 3; g = s + 9; z = b + 7; c = f + 5; l = v + 1; n = f + 10; s = r + 3; b = h + 7; h = i + 13; r = n + 5. If f = 19, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"w": "u + 20", "y": "w + 6", "p": "y + 15", "i": "p + 6", "v": "i + 15", "t": "v + 12", "h": "u + 12", "r": "h + 8", "n": "r + 19", "z": "n + 9", "g": "z + 18", "f": "g + 3", "u": 10}, "premises": {"u": 10}, "target": "t"}, "answer": {"steps": [["v", "i + 15", "i + 27"], ["i", "p + 6", "p + 33"], ["p", "y + 15", "y + 48"], ["y", "w + 6", "w + 54"], ["w", "u + 20", "u + 74"], ["u", 10, "84"]], "target_var_name": "t", "target_value": 84, "value_dict": {"u": 10}, "is_reverse": true}}
| 3,177
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = v + 12; g = z + 18; i = p + 6; u = 10; n = r + 19; p = y + 15; h = u + 12; w = u + 20; y = w + 6; v = i + 15; z = n + 9; r = h + 8; f = g + 3. Given that u = 10, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = i + 15 to t, which gives t = i + 27.\n2. Substitute i = p + 6 to t, which gives t = p + 33.\n3. Substitute p = y + 15 to t, which gives t = y + 48.\n4. Substitute y = w + 6 to t, which gives t = w + 54.\n5. Substitute w = u + 20 to t, which gives t = u + 74.\n6. Substitute u = 10 to t, which gives t = 84.\n\nThus, the final answer is t = \\boxed{84}.",
"index": 3177,
"question": "Suppose a collection of variables is related by the following definitions: t = v + 12; g = z + 18; i = p + 6; u = 10; n = r + 19; p = y + 15; h = u + 12; w = u + 20; y = w + 6; v = i + 15; z = n + 9; r = h + 8; f = g + 3. Given that u = 10, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"k": "s + 11", "n": "k + 5", "i": "n + 19", "r": "i + 6", "v": "r + 20", "a": "v + 6", "b": "s + 19", "o": "b + 10", "j": "o + 17", "h": "j + 2", "u": "h + 8", "t": "u + 20", "s": 14}, "premises": {"s": 14}, "target": "a"}, "answer": {"steps": [["v", "r + 20", "r + 26"], ["r", "i + 6", "i + 32"], ["i", "n + 19", "n + 51"], ["n", "k + 5", "k + 56"], ["k", "s + 11", "s + 67"], ["s", 14, "81"]], "target_var_name": "a", "target_value": 81, "value_dict": {"s": 14}, "is_reverse": true}}
| 3,178
| 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 = v + 6; o = b + 10; r = i + 6; k = s + 11; b = s + 19; v = r + 20; j = o + 17; i = n + 19; u = h + 8; h = j + 2; s = 14; n = k + 5; t = u + 20. If s = 14, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = r + 20 to a, which gives a = r + 26.\n2. Substitute r = i + 6 to a, which gives a = i + 32.\n3. Substitute i = n + 19 to a, which gives a = n + 51.\n4. Substitute n = k + 5 to a, which gives a = k + 56.\n5. Substitute k = s + 11 to a, which gives a = s + 67.\n6. Substitute s = 14 to a, which gives a = 81.\n\nThus, the final answer is a = \\boxed{81}.",
"index": 3178,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = v + 6; o = b + 10; r = i + 6; k = s + 11; b = s + 19; v = r + 20; j = o + 17; i = n + 19; u = h + 8; h = j + 2; s = 14; n = k + 5; t = u + 20. If s = 14, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"e": "y + 3", "a": "e + 12", "l": "a + 12", "n": "l + 10", "c": "n + 7", "f": "c + 9", "h": "y + 20", "s": "h + 7", "t": "s + 2", "z": "t + 1", "j": "z + 5", "p": "j + 18", "y": 10}, "premises": {"y": 10}, "target": "f"}, "answer": {"steps": [["c", "n + 7", "n + 16"], ["n", "l + 10", "l + 26"], ["l", "a + 12", "a + 38"], ["a", "e + 12", "e + 50"], ["e", "y + 3", "y + 53"], ["y", 10, "63"]], "target_var_name": "f", "target_value": 63, "value_dict": {"y": 10}, "is_reverse": true}}
| 3,179
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = t + 1; j = z + 5; s = h + 7; l = a + 12; h = y + 20; n = l + 10; p = j + 18; a = e + 12; y = 10; t = s + 2; e = y + 3; f = c + 9; c = n + 7. Given that y = 10, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = n + 7 to f, which gives f = n + 16.\n2. Substitute n = l + 10 to f, which gives f = l + 26.\n3. Substitute l = a + 12 to f, which gives f = a + 38.\n4. Substitute a = e + 12 to f, which gives f = e + 50.\n5. Substitute e = y + 3 to f, which gives f = y + 53.\n6. Substitute y = 10 to f, which gives f = 63.\n\nThus, the final answer is f = \\boxed{63}.",
"index": 3179,
"question": "Suppose a collection of variables is related by the following definitions: z = t + 1; j = z + 5; s = h + 7; l = a + 12; h = y + 20; n = l + 10; p = j + 18; a = e + 12; y = 10; t = s + 2; e = y + 3; f = c + 9; c = n + 7. Given that y = 10, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"f": "m + 2", "w": "f + 9", "n": "w + 3", "d": "n + 9", "r": "d + 12", "q": "r + 16", "h": "m + 4", "j": "h + 15", "i": "j + 10", "p": "i + 7", "x": "p + 4", "z": "x + 17", "m": 17}, "premises": {"m": 17}, "target": "q"}, "answer": {"steps": [["r", "d + 12", "d + 28"], ["d", "n + 9", "n + 37"], ["n", "w + 3", "w + 40"], ["w", "f + 9", "f + 49"], ["f", "m + 2", "m + 51"], ["m", 17, "68"]], "target_var_name": "q", "target_value": 68, "value_dict": {"m": 17}, "is_reverse": true}}
| 3,180
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = w + 3; f = m + 2; i = j + 10; d = n + 9; w = f + 9; x = p + 4; q = r + 16; r = d + 12; j = h + 15; z = x + 17; m = 17; h = m + 4; p = i + 7. If m = 17, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = d + 12 to q, which gives q = d + 28.\n2. Substitute d = n + 9 to q, which gives q = n + 37.\n3. Substitute n = w + 3 to q, which gives q = w + 40.\n4. Substitute w = f + 9 to q, which gives q = f + 49.\n5. Substitute f = m + 2 to q, which gives q = m + 51.\n6. Substitute m = 17 to q, which gives q = 68.\n\nThus, the final answer is q = \\boxed{68}.",
"index": 3180,
"question": "Consider a system of variables where each variable is defined as follows: n = w + 3; f = m + 2; i = j + 10; d = n + 9; w = f + 9; x = p + 4; q = r + 16; r = d + 12; j = h + 15; z = x + 17; m = 17; h = m + 4; p = i + 7. If m = 17, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"u": "h + 12", "e": "u + 12", "f": "e + 20", "s": "f + 11", "l": "s + 13", "v": "l + 11", "n": "h + 18", "w": "n + 13", "y": "w + 14", "r": "y + 3", "j": "r + 3", "k": "j + 19", "h": 8}, "premises": {"h": 8}, "target": "v"}, "answer": {"steps": [["l", "s + 13", "s + 24"], ["s", "f + 11", "f + 35"], ["f", "e + 20", "e + 55"], ["e", "u + 12", "u + 67"], ["u", "h + 12", "h + 79"], ["h", 8, "87"]], "target_var_name": "v", "target_value": 87, "value_dict": {"h": 8}, "is_reverse": true}}
| 3,181
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = h + 18; f = e + 20; j = r + 3; e = u + 12; s = f + 11; w = n + 13; l = s + 13; k = j + 19; y = w + 14; v = l + 11; u = h + 12; h = 8; r = y + 3. If h = 8, 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 l = s + 13 to v, which gives v = s + 24.\n2. Substitute s = f + 11 to v, which gives v = f + 35.\n3. Substitute f = e + 20 to v, which gives v = e + 55.\n4. Substitute e = u + 12 to v, which gives v = u + 67.\n5. Substitute u = h + 12 to v, which gives v = h + 79.\n6. Substitute h = 8 to v, which gives v = 87.\n\nThus, the final answer is v = \\boxed{87}.",
"index": 3181,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = h + 18; f = e + 20; j = r + 3; e = u + 12; s = f + 11; w = n + 13; l = s + 13; k = j + 19; y = w + 14; v = l + 11; u = h + 12; h = 8; r = y + 3. If h = 8, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"d": "y + 16", "k": "d + 3", "b": "k + 15", "h": "b + 2", "a": "h + 4", "m": "a + 9", "q": "y + 3", "o": "q + 7", "r": "o + 15", "g": "r + 11", "n": "g + 10", "l": "n + 6", "y": 17}, "premises": {"y": 17}, "target": "m"}, "answer": {"steps": [["a", "h + 4", "h + 13"], ["h", "b + 2", "b + 15"], ["b", "k + 15", "k + 30"], ["k", "d + 3", "d + 33"], ["d", "y + 16", "y + 49"], ["y", 17, "66"]], "target_var_name": "m", "target_value": 66, "value_dict": {"y": 17}, "is_reverse": true}}
| 3,182
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = q + 7; y = 17; h = b + 2; q = y + 3; d = y + 16; g = r + 11; k = d + 3; r = o + 15; l = n + 6; n = g + 10; m = a + 9; a = h + 4; b = k + 15. Given that y = 17, find the 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 a = h + 4 to m, which gives m = h + 13.\n2. Substitute h = b + 2 to m, which gives m = b + 15.\n3. Substitute b = k + 15 to m, which gives m = k + 30.\n4. Substitute k = d + 3 to m, which gives m = d + 33.\n5. Substitute d = y + 16 to m, which gives m = y + 49.\n6. Substitute y = 17 to m, which gives m = 66.\n\nThus, the final answer is m = \\boxed{66}.",
"index": 3182,
"question": "Suppose a collection of variables is related by the following definitions: o = q + 7; y = 17; h = b + 2; q = y + 3; d = y + 16; g = r + 11; k = d + 3; r = o + 15; l = n + 6; n = g + 10; m = a + 9; a = h + 4; b = k + 15. Given that y = 17, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"y": "l + 16", "c": "y + 12", "v": "c + 11", "s": "v + 16", "j": "s + 19", "a": "j + 14", "b": "l + 13", "k": "b + 19", "n": "k + 17", "i": "n + 9", "m": "i + 1", "o": "m + 17", "l": 6}, "premises": {"l": 6}, "target": "a"}, "answer": {"steps": [["j", "s + 19", "s + 33"], ["s", "v + 16", "v + 49"], ["v", "c + 11", "c + 60"], ["c", "y + 12", "y + 72"], ["y", "l + 16", "l + 88"], ["l", 6, "94"]], "target_var_name": "a", "target_value": 94, "value_dict": {"l": 6}, "is_reverse": true}}
| 3,183
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = s + 19; c = y + 12; k = b + 19; m = i + 1; y = l + 16; s = v + 16; n = k + 17; o = m + 17; v = c + 11; a = j + 14; i = n + 9; b = l + 13; l = 6. If l = 6, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = s + 19 to a, which gives a = s + 33.\n2. Substitute s = v + 16 to a, which gives a = v + 49.\n3. Substitute v = c + 11 to a, which gives a = c + 60.\n4. Substitute c = y + 12 to a, which gives a = y + 72.\n5. Substitute y = l + 16 to a, which gives a = l + 88.\n6. Substitute l = 6 to a, which gives a = 94.\n\nThus, the final answer is a = \\boxed{94}.",
"index": 3183,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = s + 19; c = y + 12; k = b + 19; m = i + 1; y = l + 16; s = v + 16; n = k + 17; o = m + 17; v = c + 11; a = j + 14; i = n + 9; b = l + 13; l = 6. If l = 6, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"v": "l + 5", "n": "v + 13", "y": "n + 8", "g": "y + 4", "x": "g + 17", "c": "x + 20", "p": "l + 15", "a": "p + 15", "z": "a + 16", "i": "z + 14", "t": "i + 3", "d": "t + 5", "l": 2}, "premises": {"l": 2}, "target": "c"}, "answer": {"steps": [["x", "g + 17", "g + 37"], ["g", "y + 4", "y + 41"], ["y", "n + 8", "n + 49"], ["n", "v + 13", "v + 62"], ["v", "l + 5", "l + 67"], ["l", 2, "69"]], "target_var_name": "c", "target_value": 69, "value_dict": {"l": 2}, "is_reverse": true}}
| 3,184
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = 2; p = l + 15; i = z + 14; n = v + 13; x = g + 17; z = a + 16; g = y + 4; a = p + 15; v = l + 5; d = t + 5; y = n + 8; t = i + 3; c = x + 20. Given that l = 2, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = g + 17 to c, which gives c = g + 37.\n2. Substitute g = y + 4 to c, which gives c = y + 41.\n3. Substitute y = n + 8 to c, which gives c = n + 49.\n4. Substitute n = v + 13 to c, which gives c = v + 62.\n5. Substitute v = l + 5 to c, which gives c = l + 67.\n6. Substitute l = 2 to c, which gives c = 69.\n\nThus, the final answer is c = \\boxed{69}.",
"index": 3184,
"question": "Suppose a collection of variables is related by the following definitions: l = 2; p = l + 15; i = z + 14; n = v + 13; x = g + 17; z = a + 16; g = y + 4; a = p + 15; v = l + 5; d = t + 5; y = n + 8; t = i + 3; c = x + 20. Given that l = 2, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"d": "x + 4", "i": "d + 16", "r": "i + 7", "v": "r + 11", "u": "v + 4", "t": "u + 5", "l": "x + 20", "w": "l + 6", "c": "w + 7", "e": "c + 14", "p": "e + 1", "n": "p + 17", "x": 5}, "premises": {"x": 5}, "target": "t"}, "answer": {"steps": [["u", "v + 4", "v + 9"], ["v", "r + 11", "r + 20"], ["r", "i + 7", "i + 27"], ["i", "d + 16", "d + 43"], ["d", "x + 4", "x + 47"], ["x", 5, "52"]], "target_var_name": "t", "target_value": 52, "value_dict": {"x": 5}, "is_reverse": true}}
| 3,185
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = x + 4; t = u + 5; n = p + 17; x = 5; i = d + 16; e = c + 14; w = l + 6; v = r + 11; r = i + 7; p = e + 1; c = w + 7; u = v + 4; l = x + 20. If x = 5, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 52,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = v + 4 to t, which gives t = v + 9.\n2. Substitute v = r + 11 to t, which gives t = r + 20.\n3. Substitute r = i + 7 to t, which gives t = i + 27.\n4. Substitute i = d + 16 to t, which gives t = d + 43.\n5. Substitute d = x + 4 to t, which gives t = x + 47.\n6. Substitute x = 5 to t, which gives t = 52.\n\nThus, the final answer is t = \\boxed{52}.",
"index": 3185,
"question": "Consider a system of variables where each variable is defined as follows: d = x + 4; t = u + 5; n = p + 17; x = 5; i = d + 16; e = c + 14; w = l + 6; v = r + 11; r = i + 7; p = e + 1; c = w + 7; u = v + 4; l = x + 20. If x = 5, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"v": "h + 13", "b": "v + 12", "u": "b + 15", "r": "u + 10", "f": "r + 1", "d": "f + 14", "j": "h + 13", "p": "j + 16", "o": "p + 14", "z": "o + 16", "x": "z + 3", "s": "x + 1", "h": 8}, "premises": {"h": 8}, "target": "d"}, "answer": {"steps": [["f", "r + 1", "r + 15"], ["r", "u + 10", "u + 25"], ["u", "b + 15", "b + 40"], ["b", "v + 12", "v + 52"], ["v", "h + 13", "h + 65"], ["h", 8, "73"]], "target_var_name": "d", "target_value": 73, "value_dict": {"h": 8}, "is_reverse": true}}
| 3,186
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = v + 12; h = 8; s = x + 1; d = f + 14; f = r + 1; j = h + 13; x = z + 3; p = j + 16; o = p + 14; r = u + 10; u = b + 15; v = h + 13; z = o + 16. Given that h = 8, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = r + 1 to d, which gives d = r + 15.\n2. Substitute r = u + 10 to d, which gives d = u + 25.\n3. Substitute u = b + 15 to d, which gives d = b + 40.\n4. Substitute b = v + 12 to d, which gives d = v + 52.\n5. Substitute v = h + 13 to d, which gives d = h + 65.\n6. Substitute h = 8 to d, which gives d = 73.\n\nThus, the final answer is d = \\boxed{73}.",
"index": 3186,
"question": "Suppose a collection of variables is related by the following definitions: b = v + 12; h = 8; s = x + 1; d = f + 14; f = r + 1; j = h + 13; x = z + 3; p = j + 16; o = p + 14; r = u + 10; u = b + 15; v = h + 13; z = o + 16. Given that h = 8, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"l": "s + 7", "z": "l + 17", "k": "z + 8", "r": "k + 10", "t": "r + 7", "e": "t + 3", "c": "s + 14", "n": "c + 18", "x": "n + 17", "i": "x + 12", "g": "i + 19", "d": "g + 9", "s": 5}, "premises": {"s": 5}, "target": "e"}, "answer": {"steps": [["t", "r + 7", "r + 10"], ["r", "k + 10", "k + 20"], ["k", "z + 8", "z + 28"], ["z", "l + 17", "l + 45"], ["l", "s + 7", "s + 52"], ["s", 5, "57"]], "target_var_name": "e", "target_value": 57, "value_dict": {"s": 5}, "is_reverse": true}}
| 3,187
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = s + 7; n = c + 18; z = l + 17; k = z + 8; r = k + 10; g = i + 19; i = x + 12; s = 5; e = t + 3; c = s + 14; x = n + 17; t = r + 7; d = g + 9. If s = 5, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = r + 7 to e, which gives e = r + 10.\n2. Substitute r = k + 10 to e, which gives e = k + 20.\n3. Substitute k = z + 8 to e, which gives e = z + 28.\n4. Substitute z = l + 17 to e, which gives e = l + 45.\n5. Substitute l = s + 7 to e, which gives e = s + 52.\n6. Substitute s = 5 to e, which gives e = 57.\n\nThus, the final answer is e = \\boxed{57}.",
"index": 3187,
"question": "Consider a system of variables where each variable is defined as follows: l = s + 7; n = c + 18; z = l + 17; k = z + 8; r = k + 10; g = i + 19; i = x + 12; s = 5; e = t + 3; c = s + 14; x = n + 17; t = r + 7; d = g + 9. If s = 5, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"q": "g + 14", "t": "q + 12", "y": "t + 9", "r": "y + 19", "w": "r + 1", "b": "w + 14", "f": "g + 15", "z": "f + 1", "e": "z + 10", "u": "e + 2", "o": "u + 1", "v": "o + 6", "g": 20}, "premises": {"g": 20}, "target": "b"}, "answer": {"steps": [["w", "r + 1", "r + 15"], ["r", "y + 19", "y + 34"], ["y", "t + 9", "t + 43"], ["t", "q + 12", "q + 55"], ["q", "g + 14", "g + 69"], ["g", 20, "89"]], "target_var_name": "b", "target_value": 89, "value_dict": {"g": 20}, "is_reverse": true}}
| 3,188
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = t + 9; t = q + 12; e = z + 10; f = g + 15; r = y + 19; b = w + 14; w = r + 1; u = e + 2; g = 20; v = o + 6; o = u + 1; z = f + 1; q = g + 14. Given that g = 20, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = r + 1 to b, which gives b = r + 15.\n2. Substitute r = y + 19 to b, which gives b = y + 34.\n3. Substitute y = t + 9 to b, which gives b = t + 43.\n4. Substitute t = q + 12 to b, which gives b = q + 55.\n5. Substitute q = g + 14 to b, which gives b = g + 69.\n6. Substitute g = 20 to b, which gives b = 89.\n\nThus, the final answer is b = \\boxed{89}.",
"index": 3188,
"question": "Suppose a collection of variables is related by the following definitions: y = t + 9; t = q + 12; e = z + 10; f = g + 15; r = y + 19; b = w + 14; w = r + 1; u = e + 2; g = 20; v = o + 6; o = u + 1; z = f + 1; q = g + 14. Given that g = 20, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"r": "t + 10", "o": "r + 12", "h": "o + 7", "f": "h + 16", "j": "f + 12", "l": "j + 20", "i": "t + 11", "x": "i + 9", "z": "x + 12", "w": "z + 18", "y": "w + 7", "u": "y + 3", "t": 3}, "premises": {"t": 3}, "target": "l"}, "answer": {"steps": [["j", "f + 12", "f + 32"], ["f", "h + 16", "h + 48"], ["h", "o + 7", "o + 55"], ["o", "r + 12", "r + 67"], ["r", "t + 10", "t + 77"], ["t", 3, "80"]], "target_var_name": "l", "target_value": 80, "value_dict": {"t": 3}, "is_reverse": true}}
| 3,189
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = i + 9; o = r + 12; j = f + 12; f = h + 16; u = y + 3; h = o + 7; w = z + 18; z = x + 12; y = w + 7; t = 3; i = t + 11; r = t + 10; l = j + 20. Given that t = 3, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = f + 12 to l, which gives l = f + 32.\n2. Substitute f = h + 16 to l, which gives l = h + 48.\n3. Substitute h = o + 7 to l, which gives l = o + 55.\n4. Substitute o = r + 12 to l, which gives l = r + 67.\n5. Substitute r = t + 10 to l, which gives l = t + 77.\n6. Substitute t = 3 to l, which gives l = 80.\n\nThus, the final answer is l = \\boxed{80}.",
"index": 3189,
"question": "Suppose a collection of variables is related by the following definitions: x = i + 9; o = r + 12; j = f + 12; f = h + 16; u = y + 3; h = o + 7; w = z + 18; z = x + 12; y = w + 7; t = 3; i = t + 11; r = t + 10; l = j + 20. Given that t = 3, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"e": "v + 19", "o": "e + 4", "u": "o + 1", "k": "u + 9", "b": "k + 10", "f": "b + 19", "m": "v + 4", "y": "m + 10", "g": "y + 15", "t": "g + 18", "s": "t + 8", "r": "s + 10", "v": 3}, "premises": {"v": 3}, "target": "f"}, "answer": {"steps": [["b", "k + 10", "k + 29"], ["k", "u + 9", "u + 38"], ["u", "o + 1", "o + 39"], ["o", "e + 4", "e + 43"], ["e", "v + 19", "v + 62"], ["v", 3, "65"]], "target_var_name": "f", "target_value": 65, "value_dict": {"v": 3}, "is_reverse": true}}
| 3,190
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = g + 18; g = y + 15; b = k + 10; y = m + 10; k = u + 9; o = e + 4; u = o + 1; v = 3; s = t + 8; m = v + 4; r = s + 10; e = v + 19; f = b + 19. Given that v = 3, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = k + 10 to f, which gives f = k + 29.\n2. Substitute k = u + 9 to f, which gives f = u + 38.\n3. Substitute u = o + 1 to f, which gives f = o + 39.\n4. Substitute o = e + 4 to f, which gives f = e + 43.\n5. Substitute e = v + 19 to f, which gives f = v + 62.\n6. Substitute v = 3 to f, which gives f = 65.\n\nThus, the final answer is f = \\boxed{65}.",
"index": 3190,
"question": "Suppose a collection of variables is related by the following definitions: t = g + 18; g = y + 15; b = k + 10; y = m + 10; k = u + 9; o = e + 4; u = o + 1; v = 3; s = t + 8; m = v + 4; r = s + 10; e = v + 19; f = b + 19. Given that v = 3, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"q": "z + 10", "a": "q + 10", "e": "a + 14", "g": "e + 4", "l": "g + 8", "v": "l + 16", "h": "z + 5", "j": "h + 14", "n": "j + 9", "r": "n + 1", "x": "r + 18", "p": "x + 6", "z": 18}, "premises": {"z": 18}, "target": "v"}, "answer": {"steps": [["l", "g + 8", "g + 24"], ["g", "e + 4", "e + 28"], ["e", "a + 14", "a + 42"], ["a", "q + 10", "q + 52"], ["q", "z + 10", "z + 62"], ["z", 18, "80"]], "target_var_name": "v", "target_value": 80, "value_dict": {"z": 18}, "is_reverse": true}}
| 3,191
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = l + 16; l = g + 8; n = j + 9; a = q + 10; g = e + 4; r = n + 1; h = z + 5; p = x + 6; j = h + 14; e = a + 14; z = 18; x = r + 18; q = z + 10. Given that z = 18, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = g + 8 to v, which gives v = g + 24.\n2. Substitute g = e + 4 to v, which gives v = e + 28.\n3. Substitute e = a + 14 to v, which gives v = a + 42.\n4. Substitute a = q + 10 to v, which gives v = q + 52.\n5. Substitute q = z + 10 to v, which gives v = z + 62.\n6. Substitute z = 18 to v, which gives v = 80.\n\nThus, the final answer is v = \\boxed{80}.",
"index": 3191,
"question": "Suppose a collection of variables is related by the following definitions: v = l + 16; l = g + 8; n = j + 9; a = q + 10; g = e + 4; r = n + 1; h = z + 5; p = x + 6; j = h + 14; e = a + 14; z = 18; x = r + 18; q = z + 10. Given that z = 18, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"u": "f + 15", "n": "u + 8", "m": "n + 3", "e": "m + 2", "s": "e + 16", "z": "s + 7", "r": "f + 3", "h": "r + 18", "g": "h + 16", "b": "g + 20", "y": "b + 8", "q": "y + 1", "f": 9}, "premises": {"f": 9}, "target": "z"}, "answer": {"steps": [["s", "e + 16", "e + 23"], ["e", "m + 2", "m + 25"], ["m", "n + 3", "n + 28"], ["n", "u + 8", "u + 36"], ["u", "f + 15", "f + 51"], ["f", 9, "60"]], "target_var_name": "z", "target_value": 60, "value_dict": {"f": 9}, "is_reverse": true}}
| 3,192
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = g + 20; q = y + 1; h = r + 18; n = u + 8; r = f + 3; y = b + 8; s = e + 16; f = 9; m = n + 3; z = s + 7; e = m + 2; u = f + 15; g = h + 16. If f = 9, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = e + 16 to z, which gives z = e + 23.\n2. Substitute e = m + 2 to z, which gives z = m + 25.\n3. Substitute m = n + 3 to z, which gives z = n + 28.\n4. Substitute n = u + 8 to z, which gives z = u + 36.\n5. Substitute u = f + 15 to z, which gives z = f + 51.\n6. Substitute f = 9 to z, which gives z = 60.\n\nThus, the final answer is z = \\boxed{60}.",
"index": 3192,
"question": "Consider a system of variables where each variable is defined as follows: b = g + 20; q = y + 1; h = r + 18; n = u + 8; r = f + 3; y = b + 8; s = e + 16; f = 9; m = n + 3; z = s + 7; e = m + 2; u = f + 15; g = h + 16. If f = 9, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"d": "n + 1", "v": "d + 16", "e": "v + 17", "f": "e + 20", "b": "f + 19", "w": "b + 15", "y": "n + 1", "u": "y + 4", "t": "u + 4", "k": "t + 15", "s": "k + 9", "q": "s + 20", "n": 17}, "premises": {"n": 17}, "target": "w"}, "answer": {"steps": [["b", "f + 19", "f + 34"], ["f", "e + 20", "e + 54"], ["e", "v + 17", "v + 71"], ["v", "d + 16", "d + 87"], ["d", "n + 1", "n + 88"], ["n", 17, "105"]], "target_var_name": "w", "target_value": 105, "value_dict": {"n": 17}, "is_reverse": true}}
| 3,193
| 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 = y + 4; v = d + 16; y = n + 1; n = 17; f = e + 20; t = u + 4; q = s + 20; s = k + 9; k = t + 15; d = n + 1; w = b + 15; e = v + 17; b = f + 19. If n = 17, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 105,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = f + 19 to w, which gives w = f + 34.\n2. Substitute f = e + 20 to w, which gives w = e + 54.\n3. Substitute e = v + 17 to w, which gives w = v + 71.\n4. Substitute v = d + 16 to w, which gives w = d + 87.\n5. Substitute d = n + 1 to w, which gives w = n + 88.\n6. Substitute n = 17 to w, which gives w = 105.\n\nThus, the final answer is w = \\boxed{105}.",
"index": 3193,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = y + 4; v = d + 16; y = n + 1; n = 17; f = e + 20; t = u + 4; q = s + 20; s = k + 9; k = t + 15; d = n + 1; w = b + 15; e = v + 17; b = f + 19. If n = 17, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"i": "o + 13", "c": "i + 1", "z": "c + 9", "r": "z + 18", "t": "r + 16", "m": "t + 12", "a": "o + 9", "d": "a + 1", "b": "d + 5", "f": "b + 20", "g": "f + 13", "q": "g + 11", "o": 10}, "premises": {"o": 10}, "target": "m"}, "answer": {"steps": [["t", "r + 16", "r + 28"], ["r", "z + 18", "z + 46"], ["z", "c + 9", "c + 55"], ["c", "i + 1", "i + 56"], ["i", "o + 13", "o + 69"], ["o", 10, "79"]], "target_var_name": "m", "target_value": 79, "value_dict": {"o": 10}, "is_reverse": true}}
| 3,194
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = z + 18; a = o + 9; i = o + 13; t = r + 16; b = d + 5; d = a + 1; o = 10; g = f + 13; q = g + 11; m = t + 12; c = i + 1; f = b + 20; z = c + 9. If o = 10, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = r + 16 to m, which gives m = r + 28.\n2. Substitute r = z + 18 to m, which gives m = z + 46.\n3. Substitute z = c + 9 to m, which gives m = c + 55.\n4. Substitute c = i + 1 to m, which gives m = i + 56.\n5. Substitute i = o + 13 to m, which gives m = o + 69.\n6. Substitute o = 10 to m, which gives m = 79.\n\nThus, the final answer is m = \\boxed{79}.",
"index": 3194,
"question": "Consider a system of variables where each variable is defined as follows: r = z + 18; a = o + 9; i = o + 13; t = r + 16; b = d + 5; d = a + 1; o = 10; g = f + 13; q = g + 11; m = t + 12; c = i + 1; f = b + 20; z = c + 9. If o = 10, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"h": "e + 19", "a": "h + 19", "f": "a + 2", "y": "f + 2", "v": "y + 10", "m": "v + 4", "n": "e + 3", "p": "n + 12", "k": "p + 8", "z": "k + 14", "j": "z + 6", "c": "j + 6", "e": 1}, "premises": {"e": 1}, "target": "m"}, "answer": {"steps": [["v", "y + 10", "y + 14"], ["y", "f + 2", "f + 16"], ["f", "a + 2", "a + 18"], ["a", "h + 19", "h + 37"], ["h", "e + 19", "e + 56"], ["e", 1, "57"]], "target_var_name": "m", "target_value": 57, "value_dict": {"e": 1}, "is_reverse": true}}
| 3,195
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = a + 2; m = v + 4; p = n + 12; a = h + 19; v = y + 10; k = p + 8; e = 1; n = e + 3; y = f + 2; h = e + 19; z = k + 14; j = z + 6; c = j + 6. Given that e = 1, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = y + 10 to m, which gives m = y + 14.\n2. Substitute y = f + 2 to m, which gives m = f + 16.\n3. Substitute f = a + 2 to m, which gives m = a + 18.\n4. Substitute a = h + 19 to m, which gives m = h + 37.\n5. Substitute h = e + 19 to m, which gives m = e + 56.\n6. Substitute e = 1 to m, which gives m = 57.\n\nThus, the final answer is m = \\boxed{57}.",
"index": 3195,
"question": "Suppose a collection of variables is related by the following definitions: f = a + 2; m = v + 4; p = n + 12; a = h + 19; v = y + 10; k = p + 8; e = 1; n = e + 3; y = f + 2; h = e + 19; z = k + 14; j = z + 6; c = j + 6. Given that e = 1, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"l": "x + 2", "i": "l + 8", "s": "i + 17", "t": "s + 13", "c": "t + 10", "a": "c + 10", "m": "x + 14", "g": "m + 5", "d": "g + 11", "n": "d + 8", "f": "n + 2", "w": "f + 20", "x": 8}, "premises": {"x": 8}, "target": "a"}, "answer": {"steps": [["c", "t + 10", "t + 20"], ["t", "s + 13", "s + 33"], ["s", "i + 17", "i + 50"], ["i", "l + 8", "l + 58"], ["l", "x + 2", "x + 60"], ["x", 8, "68"]], "target_var_name": "a", "target_value": 68, "value_dict": {"x": 8}, "is_reverse": true}}
| 3,196
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = x + 2; c = t + 10; g = m + 5; x = 8; s = i + 17; w = f + 20; i = l + 8; d = g + 11; a = c + 10; n = d + 8; t = s + 13; m = x + 14; f = n + 2. Given that x = 8, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = t + 10 to a, which gives a = t + 20.\n2. Substitute t = s + 13 to a, which gives a = s + 33.\n3. Substitute s = i + 17 to a, which gives a = i + 50.\n4. Substitute i = l + 8 to a, which gives a = l + 58.\n5. Substitute l = x + 2 to a, which gives a = x + 60.\n6. Substitute x = 8 to a, which gives a = 68.\n\nThus, the final answer is a = \\boxed{68}.",
"index": 3196,
"question": "Suppose a collection of variables is related by the following definitions: l = x + 2; c = t + 10; g = m + 5; x = 8; s = i + 17; w = f + 20; i = l + 8; d = g + 11; a = c + 10; n = d + 8; t = s + 13; m = x + 14; f = n + 2. Given that x = 8, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"n": "s + 3", "a": "n + 7", "y": "a + 15", "z": "y + 20", "u": "z + 18", "k": "u + 5", "i": "s + 5", "g": "i + 9", "m": "g + 1", "l": "m + 5", "r": "l + 7", "h": "r + 7", "s": 3}, "premises": {"s": 3}, "target": "k"}, "answer": {"steps": [["u", "z + 18", "z + 23"], ["z", "y + 20", "y + 43"], ["y", "a + 15", "a + 58"], ["a", "n + 7", "n + 65"], ["n", "s + 3", "s + 68"], ["s", 3, "71"]], "target_var_name": "k", "target_value": 71, "value_dict": {"s": 3}, "is_reverse": true}}
| 3,197
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = u + 5; m = g + 1; n = s + 3; z = y + 20; s = 3; a = n + 7; i = s + 5; y = a + 15; h = r + 7; l = m + 5; u = z + 18; g = i + 9; r = l + 7. If s = 3, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = z + 18 to k, which gives k = z + 23.\n2. Substitute z = y + 20 to k, which gives k = y + 43.\n3. Substitute y = a + 15 to k, which gives k = a + 58.\n4. Substitute a = n + 7 to k, which gives k = n + 65.\n5. Substitute n = s + 3 to k, which gives k = s + 68.\n6. Substitute s = 3 to k, which gives k = 71.\n\nThus, the final answer is k = \\boxed{71}.",
"index": 3197,
"question": "Consider a system of variables where each variable is defined as follows: k = u + 5; m = g + 1; n = s + 3; z = y + 20; s = 3; a = n + 7; i = s + 5; y = a + 15; h = r + 7; l = m + 5; u = z + 18; g = i + 9; r = l + 7. If s = 3, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"u": "k + 7", "n": "u + 6", "s": "n + 11", "b": "s + 3", "l": "b + 5", "p": "l + 1", "j": "k + 7", "g": "j + 19", "y": "g + 7", "v": "y + 12", "t": "v + 3", "f": "t + 14", "k": 12}, "premises": {"k": 12}, "target": "p"}, "answer": {"steps": [["l", "b + 5", "b + 6"], ["b", "s + 3", "s + 9"], ["s", "n + 11", "n + 20"], ["n", "u + 6", "u + 26"], ["u", "k + 7", "k + 33"], ["k", 12, "45"]], "target_var_name": "p", "target_value": 45, "value_dict": {"k": 12}, "is_reverse": true}}
| 3,198
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = l + 1; b = s + 3; g = j + 19; v = y + 12; n = u + 6; k = 12; u = k + 7; f = t + 14; l = b + 5; y = g + 7; t = v + 3; s = n + 11; j = k + 7. Given that k = 12, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 45,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = b + 5 to p, which gives p = b + 6.\n2. Substitute b = s + 3 to p, which gives p = s + 9.\n3. Substitute s = n + 11 to p, which gives p = n + 20.\n4. Substitute n = u + 6 to p, which gives p = u + 26.\n5. Substitute u = k + 7 to p, which gives p = k + 33.\n6. Substitute k = 12 to p, which gives p = 45.\n\nThus, the final answer is p = \\boxed{45}.",
"index": 3198,
"question": "Suppose a collection of variables is related by the following definitions: p = l + 1; b = s + 3; g = j + 19; v = y + 12; n = u + 6; k = 12; u = k + 7; f = t + 14; l = b + 5; y = g + 7; t = v + 3; s = n + 11; j = k + 7. Given that k = 12, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"g": "a + 13", "r": "g + 14", "e": "r + 15", "u": "e + 17", "c": "u + 15", "l": "c + 19", "d": "a + 13", "s": "d + 11", "j": "s + 20", "z": "j + 3", "w": "z + 10", "n": "w + 5", "a": 6}, "premises": {"a": 6}, "target": "l"}, "answer": {"steps": [["c", "u + 15", "u + 34"], ["u", "e + 17", "e + 51"], ["e", "r + 15", "r + 66"], ["r", "g + 14", "g + 80"], ["g", "a + 13", "a + 93"], ["a", 6, "99"]], "target_var_name": "l", "target_value": 99, "value_dict": {"a": 6}, "is_reverse": true}}
| 3,199
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = j + 3; s = d + 11; l = c + 19; e = r + 15; n = w + 5; j = s + 20; g = a + 13; d = a + 13; r = g + 14; u = e + 17; c = u + 15; a = 6; w = z + 10. Given that a = 6, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 99,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = u + 15 to l, which gives l = u + 34.\n2. Substitute u = e + 17 to l, which gives l = e + 51.\n3. Substitute e = r + 15 to l, which gives l = r + 66.\n4. Substitute r = g + 14 to l, which gives l = g + 80.\n5. Substitute g = a + 13 to l, which gives l = a + 93.\n6. Substitute a = 6 to l, which gives l = 99.\n\nThus, the final answer is l = \\boxed{99}.",
"index": 3199,
"question": "Suppose a collection of variables is related by the following definitions: z = j + 3; s = d + 11; l = c + 19; e = r + 15; n = w + 5; j = s + 20; g = a + 13; d = a + 13; r = g + 14; u = e + 17; c = u + 15; a = 6; w = z + 10. Given that a = 6, find the value of l.",
"split": "train"
}
|
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