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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": {"j": "q + 16", "d": "j + 20", "l": "d + 7", "v": "l + 1", "r": "v + 13", "g": "r + 18", "z": "q + 19", "e": "z + 19", "a": "e + 13", "n": "a + 19", "x": "n + 12", "p": "x + 13", "q": 11}, "premises": {"q": 11}, "target": "g"}, "answer": {"steps": [["r", "v + 13", "v + 31"], ["v", "l + 1", "l + 32"], ["l", "d + 7", "d + 39"], ["d", "j + 20", "j + 59"], ["j", "q + 16", "q + 75"], ["q", 11, "86"]], "target_var_name": "g", "target_value": 86, "value_dict": {"q": 11}, "is_reverse": true}}
| 23,000
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = q + 16; a = e + 13; q = 11; d = j + 20; e = z + 19; l = d + 7; p = x + 13; x = n + 12; v = l + 1; r = v + 13; z = q + 19; n = a + 19; g = r + 18. Given that q = 11, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = v + 13 to g, which gives g = v + 31.\n2. Substitute v = l + 1 to g, which gives g = l + 32.\n3. Substitute l = d + 7 to g, which gives g = d + 39.\n4. Substitute d = j + 20 to g, which gives g = j + 59.\n5. Substitute j = q + 16 to g, which gives g = q + 75.\n6. Substitute q = 11 to g, which gives g = 86.\n\nThus, the final answer is g = \\boxed{86}.",
"index": 23000,
"question": "Suppose a collection of variables is related by the following definitions: j = q + 16; a = e + 13; q = 11; d = j + 20; e = z + 19; l = d + 7; p = x + 13; x = n + 12; v = l + 1; r = v + 13; z = q + 19; n = a + 19; g = r + 18. Given that q = 11, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"x": "g + 1", "o": "x + 8", "b": "o + 13", "v": "b + 20", "j": "v + 15", "p": "j + 3", "a": "g + 6", "m": "a + 15", "u": "m + 16", "q": "u + 12", "s": "q + 19", "y": "s + 8", "g": 20}, "premises": {"g": 20}, "target": "p"}, "answer": {"steps": [["j", "v + 15", "v + 18"], ["v", "b + 20", "b + 38"], ["b", "o + 13", "o + 51"], ["o", "x + 8", "x + 59"], ["x", "g + 1", "g + 60"], ["g", 20, "80"]], "target_var_name": "p", "target_value": 80, "value_dict": {"g": 20}, "is_reverse": true}}
| 23,001
| 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 = b + 20; y = s + 8; p = j + 3; o = x + 8; j = v + 15; a = g + 6; s = q + 19; q = u + 12; x = g + 1; u = m + 16; b = o + 13; g = 20; m = a + 15. If g = 20, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = v + 15 to p, which gives p = v + 18.\n2. Substitute v = b + 20 to p, which gives p = b + 38.\n3. Substitute b = o + 13 to p, which gives p = o + 51.\n4. Substitute o = x + 8 to p, which gives p = x + 59.\n5. Substitute x = g + 1 to p, which gives p = g + 60.\n6. Substitute g = 20 to p, which gives p = 80.\n\nThus, the final answer is p = \\boxed{80}.",
"index": 23001,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = b + 20; y = s + 8; p = j + 3; o = x + 8; j = v + 15; a = g + 6; s = q + 19; q = u + 12; x = g + 1; u = m + 16; b = o + 13; g = 20; m = a + 15. If g = 20, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"k": "z + 1", "q": "k + 8", "a": "q + 3", "g": "a + 11", "y": "g + 16", "x": "y + 5", "r": "z + 8", "m": "r + 4", "d": "m + 9", "o": "d + 12", "i": "o + 13", "t": "i + 7", "z": 19}, "premises": {"z": 19}, "target": "x"}, "answer": {"steps": [["y", "g + 16", "g + 21"], ["g", "a + 11", "a + 32"], ["a", "q + 3", "q + 35"], ["q", "k + 8", "k + 43"], ["k", "z + 1", "z + 44"], ["z", 19, "63"]], "target_var_name": "x", "target_value": 63, "value_dict": {"z": 19}, "is_reverse": true}}
| 23,002
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = o + 13; m = r + 4; d = m + 9; z = 19; t = i + 7; q = k + 8; o = d + 12; k = z + 1; a = q + 3; r = z + 8; g = a + 11; y = g + 16; x = y + 5. If z = 19, determine the 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 y = g + 16 to x, which gives x = g + 21.\n2. Substitute g = a + 11 to x, which gives x = a + 32.\n3. Substitute a = q + 3 to x, which gives x = q + 35.\n4. Substitute q = k + 8 to x, which gives x = k + 43.\n5. Substitute k = z + 1 to x, which gives x = z + 44.\n6. Substitute z = 19 to x, which gives x = 63.\n\nThus, the final answer is x = \\boxed{63}.",
"index": 23002,
"question": "Consider a system of variables where each variable is defined as follows: i = o + 13; m = r + 4; d = m + 9; z = 19; t = i + 7; q = k + 8; o = d + 12; k = z + 1; a = q + 3; r = z + 8; g = a + 11; y = g + 16; x = y + 5. If z = 19, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"b": "c + 5", "u": "b + 17", "q": "u + 12", "p": "q + 16", "t": "p + 19", "f": "t + 9", "d": "c + 19", "g": "d + 12", "y": "g + 13", "i": "y + 11", "n": "i + 2", "l": "n + 20", "c": 18}, "premises": {"c": 18}, "target": "f"}, "answer": {"steps": [["t", "p + 19", "p + 28"], ["p", "q + 16", "q + 44"], ["q", "u + 12", "u + 56"], ["u", "b + 17", "b + 73"], ["b", "c + 5", "c + 78"], ["c", 18, "96"]], "target_var_name": "f", "target_value": 96, "value_dict": {"c": 18}, "is_reverse": true}}
| 23,003
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = g + 13; q = u + 12; g = d + 12; i = y + 11; t = p + 19; u = b + 17; f = t + 9; l = n + 20; b = c + 5; n = i + 2; d = c + 19; c = 18; p = q + 16. Given that c = 18, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 96,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = p + 19 to f, which gives f = p + 28.\n2. Substitute p = q + 16 to f, which gives f = q + 44.\n3. Substitute q = u + 12 to f, which gives f = u + 56.\n4. Substitute u = b + 17 to f, which gives f = b + 73.\n5. Substitute b = c + 5 to f, which gives f = c + 78.\n6. Substitute c = 18 to f, which gives f = 96.\n\nThus, the final answer is f = \\boxed{96}.",
"index": 23003,
"question": "Suppose a collection of variables is related by the following definitions: y = g + 13; q = u + 12; g = d + 12; i = y + 11; t = p + 19; u = b + 17; f = t + 9; l = n + 20; b = c + 5; n = i + 2; d = c + 19; c = 18; p = q + 16. Given that c = 18, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"d": "j + 13", "m": "d + 8", "n": "m + 4", "v": "n + 1", "p": "v + 13", "o": "p + 9", "x": "j + 19", "s": "x + 9", "t": "s + 9", "z": "t + 12", "f": "z + 1", "e": "f + 18", "j": 6}, "premises": {"j": 6}, "target": "o"}, "answer": {"steps": [["p", "v + 13", "v + 22"], ["v", "n + 1", "n + 23"], ["n", "m + 4", "m + 27"], ["m", "d + 8", "d + 35"], ["d", "j + 13", "j + 48"], ["j", 6, "54"]], "target_var_name": "o", "target_value": 54, "value_dict": {"j": 6}, "is_reverse": true}}
| 23,004
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = d + 8; x = j + 19; d = j + 13; n = m + 4; t = s + 9; s = x + 9; v = n + 1; o = p + 9; f = z + 1; z = t + 12; j = 6; e = f + 18; p = v + 13. Given that j = 6, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = v + 13 to o, which gives o = v + 22.\n2. Substitute v = n + 1 to o, which gives o = n + 23.\n3. Substitute n = m + 4 to o, which gives o = m + 27.\n4. Substitute m = d + 8 to o, which gives o = d + 35.\n5. Substitute d = j + 13 to o, which gives o = j + 48.\n6. Substitute j = 6 to o, which gives o = 54.\n\nThus, the final answer is o = \\boxed{54}.",
"index": 23004,
"question": "Suppose a collection of variables is related by the following definitions: m = d + 8; x = j + 19; d = j + 13; n = m + 4; t = s + 9; s = x + 9; v = n + 1; o = p + 9; f = z + 1; z = t + 12; j = 6; e = f + 18; p = v + 13. Given that j = 6, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"b": "j + 9", "m": "b + 17", "v": "m + 20", "y": "v + 13", "k": "y + 10", "g": "k + 13", "s": "j + 10", "l": "s + 3", "h": "l + 14", "e": "h + 15", "u": "e + 10", "r": "u + 8", "j": 5}, "premises": {"j": 5}, "target": "g"}, "answer": {"steps": [["k", "y + 10", "y + 23"], ["y", "v + 13", "v + 36"], ["v", "m + 20", "m + 56"], ["m", "b + 17", "b + 73"], ["b", "j + 9", "j + 82"], ["j", 5, "87"]], "target_var_name": "g", "target_value": 87, "value_dict": {"j": 5}, "is_reverse": true}}
| 23,005
| 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 = l + 14; m = b + 17; s = j + 10; r = u + 8; b = j + 9; u = e + 10; l = s + 3; k = y + 10; j = 5; v = m + 20; g = k + 13; e = h + 15; y = v + 13. If j = 5, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = y + 10 to g, which gives g = y + 23.\n2. Substitute y = v + 13 to g, which gives g = v + 36.\n3. Substitute v = m + 20 to g, which gives g = m + 56.\n4. Substitute m = b + 17 to g, which gives g = b + 73.\n5. Substitute b = j + 9 to g, which gives g = j + 82.\n6. Substitute j = 5 to g, which gives g = 87.\n\nThus, the final answer is g = \\boxed{87}.",
"index": 23005,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = l + 14; m = b + 17; s = j + 10; r = u + 8; b = j + 9; u = e + 10; l = s + 3; k = y + 10; j = 5; v = m + 20; g = k + 13; e = h + 15; y = v + 13. If j = 5, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"z": "x + 12", "l": "z + 19", "d": "l + 4", "v": "d + 11", "o": "v + 6", "t": "o + 7", "a": "x + 4", "j": "a + 16", "c": "j + 5", "n": "c + 20", "y": "n + 13", "m": "y + 11", "x": 13}, "premises": {"x": 13}, "target": "t"}, "answer": {"steps": [["o", "v + 6", "v + 13"], ["v", "d + 11", "d + 24"], ["d", "l + 4", "l + 28"], ["l", "z + 19", "z + 47"], ["z", "x + 12", "x + 59"], ["x", 13, "72"]], "target_var_name": "t", "target_value": 72, "value_dict": {"x": 13}, "is_reverse": true}}
| 23,006
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = a + 16; n = c + 20; o = v + 6; y = n + 13; d = l + 4; a = x + 4; t = o + 7; v = d + 11; z = x + 12; c = j + 5; m = y + 11; l = z + 19; x = 13. If x = 13, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = v + 6 to t, which gives t = v + 13.\n2. Substitute v = d + 11 to t, which gives t = d + 24.\n3. Substitute d = l + 4 to t, which gives t = l + 28.\n4. Substitute l = z + 19 to t, which gives t = z + 47.\n5. Substitute z = x + 12 to t, which gives t = x + 59.\n6. Substitute x = 13 to t, which gives t = 72.\n\nThus, the final answer is t = \\boxed{72}.",
"index": 23006,
"question": "Consider a system of variables where each variable is defined as follows: j = a + 16; n = c + 20; o = v + 6; y = n + 13; d = l + 4; a = x + 4; t = o + 7; v = d + 11; z = x + 12; c = j + 5; m = y + 11; l = z + 19; x = 13. If x = 13, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"g": "w + 16", "v": "g + 17", "y": "v + 15", "d": "y + 2", "q": "d + 1", "z": "q + 3", "a": "w + 13", "k": "a + 13", "i": "k + 19", "e": "i + 8", "p": "e + 2", "j": "p + 5", "w": 2}, "premises": {"w": 2}, "target": "z"}, "answer": {"steps": [["q", "d + 1", "d + 4"], ["d", "y + 2", "y + 6"], ["y", "v + 15", "v + 21"], ["v", "g + 17", "g + 38"], ["g", "w + 16", "w + 54"], ["w", 2, "56"]], "target_var_name": "z", "target_value": 56, "value_dict": {"w": 2}, "is_reverse": true}}
| 23,007
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = q + 3; i = k + 19; v = g + 17; p = e + 2; j = p + 5; q = d + 1; k = a + 13; w = 2; g = w + 16; a = w + 13; y = v + 15; d = y + 2; e = i + 8. Given that w = 2, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = d + 1 to z, which gives z = d + 4.\n2. Substitute d = y + 2 to z, which gives z = y + 6.\n3. Substitute y = v + 15 to z, which gives z = v + 21.\n4. Substitute v = g + 17 to z, which gives z = g + 38.\n5. Substitute g = w + 16 to z, which gives z = w + 54.\n6. Substitute w = 2 to z, which gives z = 56.\n\nThus, the final answer is z = \\boxed{56}.",
"index": 23007,
"question": "Suppose a collection of variables is related by the following definitions: z = q + 3; i = k + 19; v = g + 17; p = e + 2; j = p + 5; q = d + 1; k = a + 13; w = 2; g = w + 16; a = w + 13; y = v + 15; d = y + 2; e = i + 8. Given that w = 2, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"j": "s + 9", "c": "j + 5", "i": "c + 9", "d": "i + 10", "f": "d + 3", "u": "f + 2", "l": "s + 20", "g": "l + 12", "t": "g + 18", "p": "t + 9", "n": "p + 15", "o": "n + 16", "s": 4}, "premises": {"s": 4}, "target": "u"}, "answer": {"steps": [["f", "d + 3", "d + 5"], ["d", "i + 10", "i + 15"], ["i", "c + 9", "c + 24"], ["c", "j + 5", "j + 29"], ["j", "s + 9", "s + 38"], ["s", 4, "42"]], "target_var_name": "u", "target_value": 42, "value_dict": {"s": 4}, "is_reverse": true}}
| 23,008
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = n + 16; p = t + 9; n = p + 15; c = j + 5; t = g + 18; u = f + 2; i = c + 9; j = s + 9; g = l + 12; l = s + 20; d = i + 10; s = 4; f = d + 3. Given that s = 4, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 42,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = d + 3 to u, which gives u = d + 5.\n2. Substitute d = i + 10 to u, which gives u = i + 15.\n3. Substitute i = c + 9 to u, which gives u = c + 24.\n4. Substitute c = j + 5 to u, which gives u = j + 29.\n5. Substitute j = s + 9 to u, which gives u = s + 38.\n6. Substitute s = 4 to u, which gives u = 42.\n\nThus, the final answer is u = \\boxed{42}.",
"index": 23008,
"question": "Suppose a collection of variables is related by the following definitions: o = n + 16; p = t + 9; n = p + 15; c = j + 5; t = g + 18; u = f + 2; i = c + 9; j = s + 9; g = l + 12; l = s + 20; d = i + 10; s = 4; f = d + 3. Given that s = 4, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"w": "b + 9", "x": "w + 5", "e": "x + 7", "c": "e + 15", "y": "c + 2", "v": "y + 11", "l": "b + 12", "k": "l + 17", "u": "k + 1", "q": "u + 12", "g": "q + 5", "o": "g + 13", "b": 17}, "premises": {"b": 17}, "target": "v"}, "answer": {"steps": [["y", "c + 2", "c + 13"], ["c", "e + 15", "e + 28"], ["e", "x + 7", "x + 35"], ["x", "w + 5", "w + 40"], ["w", "b + 9", "b + 49"], ["b", 17, "66"]], "target_var_name": "v", "target_value": 66, "value_dict": {"b": 17}, "is_reverse": true}}
| 23,009
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = l + 17; w = b + 9; y = c + 2; u = k + 1; l = b + 12; e = x + 7; o = g + 13; c = e + 15; q = u + 12; v = y + 11; g = q + 5; x = w + 5; b = 17. If b = 17, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = c + 2 to v, which gives v = c + 13.\n2. Substitute c = e + 15 to v, which gives v = e + 28.\n3. Substitute e = x + 7 to v, which gives v = x + 35.\n4. Substitute x = w + 5 to v, which gives v = w + 40.\n5. Substitute w = b + 9 to v, which gives v = b + 49.\n6. Substitute b = 17 to v, which gives v = 66.\n\nThus, the final answer is v = \\boxed{66}.",
"index": 23009,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = l + 17; w = b + 9; y = c + 2; u = k + 1; l = b + 12; e = x + 7; o = g + 13; c = e + 15; q = u + 12; v = y + 11; g = q + 5; x = w + 5; b = 17. If b = 17, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"k": "p + 19", "j": "k + 7", "o": "j + 17", "c": "o + 20", "l": "c + 20", "w": "l + 10", "q": "p + 7", "v": "q + 13", "d": "v + 2", "u": "d + 18", "e": "u + 16", "b": "e + 9", "p": 4}, "premises": {"p": 4}, "target": "w"}, "answer": {"steps": [["l", "c + 20", "c + 30"], ["c", "o + 20", "o + 50"], ["o", "j + 17", "j + 67"], ["j", "k + 7", "k + 74"], ["k", "p + 19", "p + 93"], ["p", 4, "97"]], "target_var_name": "w", "target_value": 97, "value_dict": {"p": 4}, "is_reverse": true}}
| 23,010
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = e + 9; u = d + 18; l = c + 20; p = 4; k = p + 19; e = u + 16; c = o + 20; q = p + 7; j = k + 7; d = v + 2; o = j + 17; v = q + 13; w = l + 10. Given that p = 4, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 97,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = c + 20 to w, which gives w = c + 30.\n2. Substitute c = o + 20 to w, which gives w = o + 50.\n3. Substitute o = j + 17 to w, which gives w = j + 67.\n4. Substitute j = k + 7 to w, which gives w = k + 74.\n5. Substitute k = p + 19 to w, which gives w = p + 93.\n6. Substitute p = 4 to w, which gives w = 97.\n\nThus, the final answer is w = \\boxed{97}.",
"index": 23010,
"question": "Suppose a collection of variables is related by the following definitions: b = e + 9; u = d + 18; l = c + 20; p = 4; k = p + 19; e = u + 16; c = o + 20; q = p + 7; j = k + 7; d = v + 2; o = j + 17; v = q + 13; w = l + 10. Given that p = 4, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"v": "e + 18", "o": "v + 10", "j": "o + 17", "z": "j + 4", "a": "z + 14", "y": "a + 10", "p": "e + 13", "f": "p + 20", "i": "f + 4", "m": "i + 15", "h": "m + 9", "t": "h + 2", "e": 4}, "premises": {"e": 4}, "target": "y"}, "answer": {"steps": [["a", "z + 14", "z + 24"], ["z", "j + 4", "j + 28"], ["j", "o + 17", "o + 45"], ["o", "v + 10", "v + 55"], ["v", "e + 18", "e + 73"], ["e", 4, "77"]], "target_var_name": "y", "target_value": 77, "value_dict": {"e": 4}, "is_reverse": true}}
| 23,011
| 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 = v + 10; i = f + 4; e = 4; y = a + 10; p = e + 13; z = j + 4; h = m + 9; m = i + 15; v = e + 18; f = p + 20; t = h + 2; a = z + 14; j = o + 17. If e = 4, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = z + 14 to y, which gives y = z + 24.\n2. Substitute z = j + 4 to y, which gives y = j + 28.\n3. Substitute j = o + 17 to y, which gives y = o + 45.\n4. Substitute o = v + 10 to y, which gives y = v + 55.\n5. Substitute v = e + 18 to y, which gives y = e + 73.\n6. Substitute e = 4 to y, which gives y = 77.\n\nThus, the final answer is y = \\boxed{77}.",
"index": 23011,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = v + 10; i = f + 4; e = 4; y = a + 10; p = e + 13; z = j + 4; h = m + 9; m = i + 15; v = e + 18; f = p + 20; t = h + 2; a = z + 14; j = o + 17. If e = 4, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"v": "h + 20", "e": "v + 4", "d": "e + 13", "y": "d + 2", "a": "y + 17", "s": "a + 14", "r": "h + 4", "w": "r + 18", "t": "w + 11", "i": "t + 12", "f": "i + 10", "x": "f + 6", "h": 14}, "premises": {"h": 14}, "target": "s"}, "answer": {"steps": [["a", "y + 17", "y + 31"], ["y", "d + 2", "d + 33"], ["d", "e + 13", "e + 46"], ["e", "v + 4", "v + 50"], ["v", "h + 20", "h + 70"], ["h", 14, "84"]], "target_var_name": "s", "target_value": 84, "value_dict": {"h": 14}, "is_reverse": true}}
| 23,012
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = i + 10; a = y + 17; y = d + 2; e = v + 4; d = e + 13; w = r + 18; v = h + 20; h = 14; s = a + 14; x = f + 6; r = h + 4; i = t + 12; t = w + 11. Given that h = 14, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = y + 17 to s, which gives s = y + 31.\n2. Substitute y = d + 2 to s, which gives s = d + 33.\n3. Substitute d = e + 13 to s, which gives s = e + 46.\n4. Substitute e = v + 4 to s, which gives s = v + 50.\n5. Substitute v = h + 20 to s, which gives s = h + 70.\n6. Substitute h = 14 to s, which gives s = 84.\n\nThus, the final answer is s = \\boxed{84}.",
"index": 23012,
"question": "Suppose a collection of variables is related by the following definitions: f = i + 10; a = y + 17; y = d + 2; e = v + 4; d = e + 13; w = r + 18; v = h + 20; h = 14; s = a + 14; x = f + 6; r = h + 4; i = t + 12; t = w + 11. Given that h = 14, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"a": "w + 9", "r": "a + 9", "b": "r + 19", "s": "b + 1", "n": "s + 19", "v": "n + 4", "e": "w + 16", "i": "e + 18", "j": "i + 17", "z": "j + 16", "u": "z + 6", "y": "u + 18", "w": 4}, "premises": {"w": 4}, "target": "v"}, "answer": {"steps": [["n", "s + 19", "s + 23"], ["s", "b + 1", "b + 24"], ["b", "r + 19", "r + 43"], ["r", "a + 9", "a + 52"], ["a", "w + 9", "w + 61"], ["w", 4, "65"]], "target_var_name": "v", "target_value": 65, "value_dict": {"w": 4}, "is_reverse": true}}
| 23,013
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = 4; r = a + 9; s = b + 1; y = u + 18; n = s + 19; z = j + 16; v = n + 4; e = w + 16; a = w + 9; u = z + 6; b = r + 19; i = e + 18; j = i + 17. Given that w = 4, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = s + 19 to v, which gives v = s + 23.\n2. Substitute s = b + 1 to v, which gives v = b + 24.\n3. Substitute b = r + 19 to v, which gives v = r + 43.\n4. Substitute r = a + 9 to v, which gives v = a + 52.\n5. Substitute a = w + 9 to v, which gives v = w + 61.\n6. Substitute w = 4 to v, which gives v = 65.\n\nThus, the final answer is v = \\boxed{65}.",
"index": 23013,
"question": "Suppose a collection of variables is related by the following definitions: w = 4; r = a + 9; s = b + 1; y = u + 18; n = s + 19; z = j + 16; v = n + 4; e = w + 16; a = w + 9; u = z + 6; b = r + 19; i = e + 18; j = i + 17. Given that w = 4, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"l": "i + 18", "f": "l + 10", "j": "f + 2", "d": "j + 1", "z": "d + 5", "w": "z + 3", "t": "i + 20", "g": "t + 20", "m": "g + 4", "k": "m + 11", "r": "k + 20", "p": "r + 11", "i": 1}, "premises": {"i": 1}, "target": "w"}, "answer": {"steps": [["z", "d + 5", "d + 8"], ["d", "j + 1", "j + 9"], ["j", "f + 2", "f + 11"], ["f", "l + 10", "l + 21"], ["l", "i + 18", "i + 39"], ["i", 1, "40"]], "target_var_name": "w", "target_value": 40, "value_dict": {"i": 1}, "is_reverse": true}}
| 23,014
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = m + 11; g = t + 20; w = z + 3; r = k + 20; f = l + 10; d = j + 1; t = i + 20; j = f + 2; l = i + 18; i = 1; m = g + 4; p = r + 11; z = d + 5. Given that i = 1, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 40,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = d + 5 to w, which gives w = d + 8.\n2. Substitute d = j + 1 to w, which gives w = j + 9.\n3. Substitute j = f + 2 to w, which gives w = f + 11.\n4. Substitute f = l + 10 to w, which gives w = l + 21.\n5. Substitute l = i + 18 to w, which gives w = i + 39.\n6. Substitute i = 1 to w, which gives w = 40.\n\nThus, the final answer is w = \\boxed{40}.",
"index": 23014,
"question": "Suppose a collection of variables is related by the following definitions: k = m + 11; g = t + 20; w = z + 3; r = k + 20; f = l + 10; d = j + 1; t = i + 20; j = f + 2; l = i + 18; i = 1; m = g + 4; p = r + 11; z = d + 5. Given that i = 1, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"h": "k + 2", "n": "h + 8", "g": "n + 12", "b": "g + 8", "v": "b + 6", "z": "v + 20", "j": "k + 5", "s": "j + 4", "d": "s + 3", "c": "d + 17", "l": "c + 9", "q": "l + 19", "k": 20}, "premises": {"k": 20}, "target": "z"}, "answer": {"steps": [["v", "b + 6", "b + 26"], ["b", "g + 8", "g + 34"], ["g", "n + 12", "n + 46"], ["n", "h + 8", "h + 54"], ["h", "k + 2", "k + 56"], ["k", 20, "76"]], "target_var_name": "z", "target_value": 76, "value_dict": {"k": 20}, "is_reverse": true}}
| 23,015
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = 20; c = d + 17; h = k + 2; j = k + 5; s = j + 4; z = v + 20; q = l + 19; l = c + 9; n = h + 8; b = g + 8; v = b + 6; d = s + 3; g = n + 12. Given that k = 20, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = b + 6 to z, which gives z = b + 26.\n2. Substitute b = g + 8 to z, which gives z = g + 34.\n3. Substitute g = n + 12 to z, which gives z = n + 46.\n4. Substitute n = h + 8 to z, which gives z = h + 54.\n5. Substitute h = k + 2 to z, which gives z = k + 56.\n6. Substitute k = 20 to z, which gives z = 76.\n\nThus, the final answer is z = \\boxed{76}.",
"index": 23015,
"question": "Suppose a collection of variables is related by the following definitions: k = 20; c = d + 17; h = k + 2; j = k + 5; s = j + 4; z = v + 20; q = l + 19; l = c + 9; n = h + 8; b = g + 8; v = b + 6; d = s + 3; g = n + 12. Given that k = 20, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"k": "a + 13", "r": "k + 3", "p": "r + 2", "x": "p + 8", "n": "x + 10", "l": "n + 9", "e": "a + 7", "w": "e + 6", "s": "w + 1", "o": "s + 9", "t": "o + 7", "z": "t + 7", "a": 14}, "premises": {"a": 14}, "target": "l"}, "answer": {"steps": [["n", "x + 10", "x + 19"], ["x", "p + 8", "p + 27"], ["p", "r + 2", "r + 29"], ["r", "k + 3", "k + 32"], ["k", "a + 13", "a + 45"], ["a", 14, "59"]], "target_var_name": "l", "target_value": 59, "value_dict": {"a": 14}, "is_reverse": true}}
| 23,016
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = w + 1; z = t + 7; o = s + 9; k = a + 13; e = a + 7; t = o + 7; x = p + 8; w = e + 6; l = n + 9; r = k + 3; n = x + 10; a = 14; p = r + 2. Given that a = 14, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = x + 10 to l, which gives l = x + 19.\n2. Substitute x = p + 8 to l, which gives l = p + 27.\n3. Substitute p = r + 2 to l, which gives l = r + 29.\n4. Substitute r = k + 3 to l, which gives l = k + 32.\n5. Substitute k = a + 13 to l, which gives l = a + 45.\n6. Substitute a = 14 to l, which gives l = 59.\n\nThus, the final answer is l = \\boxed{59}.",
"index": 23016,
"question": "Suppose a collection of variables is related by the following definitions: s = w + 1; z = t + 7; o = s + 9; k = a + 13; e = a + 7; t = o + 7; x = p + 8; w = e + 6; l = n + 9; r = k + 3; n = x + 10; a = 14; p = r + 2. Given that a = 14, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"n": "f + 3", "k": "n + 4", "q": "k + 1", "c": "q + 15", "x": "c + 6", "y": "x + 18", "t": "f + 18", "l": "t + 16", "g": "l + 15", "o": "g + 1", "b": "o + 15", "e": "b + 2", "f": 19}, "premises": {"f": 19}, "target": "y"}, "answer": {"steps": [["x", "c + 6", "c + 24"], ["c", "q + 15", "q + 39"], ["q", "k + 1", "k + 40"], ["k", "n + 4", "n + 44"], ["n", "f + 3", "f + 47"], ["f", 19, "66"]], "target_var_name": "y", "target_value": 66, "value_dict": {"f": 19}, "is_reverse": true}}
| 23,017
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = o + 15; c = q + 15; n = f + 3; y = x + 18; e = b + 2; g = l + 15; k = n + 4; q = k + 1; f = 19; t = f + 18; x = c + 6; l = t + 16; o = g + 1. Given that f = 19, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = c + 6 to y, which gives y = c + 24.\n2. Substitute c = q + 15 to y, which gives y = q + 39.\n3. Substitute q = k + 1 to y, which gives y = k + 40.\n4. Substitute k = n + 4 to y, which gives y = n + 44.\n5. Substitute n = f + 3 to y, which gives y = f + 47.\n6. Substitute f = 19 to y, which gives y = 66.\n\nThus, the final answer is y = \\boxed{66}.",
"index": 23017,
"question": "Suppose a collection of variables is related by the following definitions: b = o + 15; c = q + 15; n = f + 3; y = x + 18; e = b + 2; g = l + 15; k = n + 4; q = k + 1; f = 19; t = f + 18; x = c + 6; l = t + 16; o = g + 1. Given that f = 19, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"i": "y + 20", "o": "i + 3", "b": "o + 3", "e": "b + 14", "g": "e + 1", "c": "g + 3", "s": "y + 1", "k": "s + 1", "n": "k + 12", "l": "n + 17", "f": "l + 2", "d": "f + 20", "y": 13}, "premises": {"y": 13}, "target": "c"}, "answer": {"steps": [["g", "e + 1", "e + 4"], ["e", "b + 14", "b + 18"], ["b", "o + 3", "o + 21"], ["o", "i + 3", "i + 24"], ["i", "y + 20", "y + 44"], ["y", 13, "57"]], "target_var_name": "c", "target_value": 57, "value_dict": {"y": 13}, "is_reverse": true}}
| 23,018
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = b + 14; f = l + 2; o = i + 3; s = y + 1; c = g + 3; i = y + 20; y = 13; b = o + 3; d = f + 20; n = k + 12; l = n + 17; g = e + 1; k = s + 1. If y = 13, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = e + 1 to c, which gives c = e + 4.\n2. Substitute e = b + 14 to c, which gives c = b + 18.\n3. Substitute b = o + 3 to c, which gives c = o + 21.\n4. Substitute o = i + 3 to c, which gives c = i + 24.\n5. Substitute i = y + 20 to c, which gives c = y + 44.\n6. Substitute y = 13 to c, which gives c = 57.\n\nThus, the final answer is c = \\boxed{57}.",
"index": 23018,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = b + 14; f = l + 2; o = i + 3; s = y + 1; c = g + 3; i = y + 20; y = 13; b = o + 3; d = f + 20; n = k + 12; l = n + 17; g = e + 1; k = s + 1. If y = 13, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"h": "c + 2", "m": "h + 1", "j": "m + 20", "f": "j + 15", "b": "f + 11", "v": "b + 10", "u": "c + 1", "z": "u + 9", "q": "z + 7", "n": "q + 4", "g": "n + 7", "a": "g + 1", "c": 8}, "premises": {"c": 8}, "target": "v"}, "answer": {"steps": [["b", "f + 11", "f + 21"], ["f", "j + 15", "j + 36"], ["j", "m + 20", "m + 56"], ["m", "h + 1", "h + 57"], ["h", "c + 2", "c + 59"], ["c", 8, "67"]], "target_var_name": "v", "target_value": 67, "value_dict": {"c": 8}, "is_reverse": true}}
| 23,019
| 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 = b + 10; z = u + 9; m = h + 1; h = c + 2; b = f + 11; a = g + 1; n = q + 4; j = m + 20; u = c + 1; q = z + 7; f = j + 15; g = n + 7; c = 8. If c = 8, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = f + 11 to v, which gives v = f + 21.\n2. Substitute f = j + 15 to v, which gives v = j + 36.\n3. Substitute j = m + 20 to v, which gives v = m + 56.\n4. Substitute m = h + 1 to v, which gives v = h + 57.\n5. Substitute h = c + 2 to v, which gives v = c + 59.\n6. Substitute c = 8 to v, which gives v = 67.\n\nThus, the final answer is v = \\boxed{67}.",
"index": 23019,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = b + 10; z = u + 9; m = h + 1; h = c + 2; b = f + 11; a = g + 1; n = q + 4; j = m + 20; u = c + 1; q = z + 7; f = j + 15; g = n + 7; c = 8. If c = 8, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"n": "a + 20", "h": "n + 14", "r": "h + 20", "k": "r + 18", "c": "k + 11", "i": "c + 17", "m": "a + 17", "e": "m + 16", "q": "e + 9", "w": "q + 14", "o": "w + 9", "v": "o + 20", "a": 5}, "premises": {"a": 5}, "target": "i"}, "answer": {"steps": [["c", "k + 11", "k + 28"], ["k", "r + 18", "r + 46"], ["r", "h + 20", "h + 66"], ["h", "n + 14", "n + 80"], ["n", "a + 20", "a + 100"], ["a", 5, "105"]], "target_var_name": "i", "target_value": 105, "value_dict": {"a": 5}, "is_reverse": true}}
| 23,020
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = r + 18; m = a + 17; n = a + 20; o = w + 9; a = 5; w = q + 14; i = c + 17; e = m + 16; r = h + 20; q = e + 9; h = n + 14; c = k + 11; v = o + 20. Given that a = 5, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 105,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = k + 11 to i, which gives i = k + 28.\n2. Substitute k = r + 18 to i, which gives i = r + 46.\n3. Substitute r = h + 20 to i, which gives i = h + 66.\n4. Substitute h = n + 14 to i, which gives i = n + 80.\n5. Substitute n = a + 20 to i, which gives i = a + 100.\n6. Substitute a = 5 to i, which gives i = 105.\n\nThus, the final answer is i = \\boxed{105}.",
"index": 23020,
"question": "Suppose a collection of variables is related by the following definitions: k = r + 18; m = a + 17; n = a + 20; o = w + 9; a = 5; w = q + 14; i = c + 17; e = m + 16; r = h + 20; q = e + 9; h = n + 14; c = k + 11; v = o + 20. Given that a = 5, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"d": "w + 19", "h": "d + 3", "u": "h + 19", "k": "u + 19", "e": "k + 9", "x": "e + 7", "n": "w + 15", "a": "n + 15", "i": "a + 6", "g": "i + 13", "f": "g + 5", "r": "f + 15", "w": 20}, "premises": {"w": 20}, "target": "x"}, "answer": {"steps": [["e", "k + 9", "k + 16"], ["k", "u + 19", "u + 35"], ["u", "h + 19", "h + 54"], ["h", "d + 3", "d + 57"], ["d", "w + 19", "w + 76"], ["w", 20, "96"]], "target_var_name": "x", "target_value": 96, "value_dict": {"w": 20}, "is_reverse": true}}
| 23,021
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = k + 9; f = g + 5; k = u + 19; w = 20; r = f + 15; h = d + 3; d = w + 19; g = i + 13; u = h + 19; i = a + 6; a = n + 15; n = w + 15; x = e + 7. If w = 20, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 96,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = k + 9 to x, which gives x = k + 16.\n2. Substitute k = u + 19 to x, which gives x = u + 35.\n3. Substitute u = h + 19 to x, which gives x = h + 54.\n4. Substitute h = d + 3 to x, which gives x = d + 57.\n5. Substitute d = w + 19 to x, which gives x = w + 76.\n6. Substitute w = 20 to x, which gives x = 96.\n\nThus, the final answer is x = \\boxed{96}.",
"index": 23021,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = k + 9; f = g + 5; k = u + 19; w = 20; r = f + 15; h = d + 3; d = w + 19; g = i + 13; u = h + 19; i = a + 6; a = n + 15; n = w + 15; x = e + 7. If w = 20, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"c": "q + 15", "i": "c + 12", "o": "i + 6", "b": "o + 20", "w": "b + 17", "e": "w + 12", "g": "q + 17", "n": "g + 2", "d": "n + 12", "j": "d + 9", "x": "j + 17", "y": "x + 12", "q": 10}, "premises": {"q": 10}, "target": "e"}, "answer": {"steps": [["w", "b + 17", "b + 29"], ["b", "o + 20", "o + 49"], ["o", "i + 6", "i + 55"], ["i", "c + 12", "c + 67"], ["c", "q + 15", "q + 82"], ["q", 10, "92"]], "target_var_name": "e", "target_value": 92, "value_dict": {"q": 10}, "is_reverse": true}}
| 23,022
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = w + 12; q = 10; d = n + 12; g = q + 17; n = g + 2; x = j + 17; c = q + 15; o = i + 6; j = d + 9; b = o + 20; y = x + 12; i = c + 12; w = b + 17. If q = 10, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = b + 17 to e, which gives e = b + 29.\n2. Substitute b = o + 20 to e, which gives e = o + 49.\n3. Substitute o = i + 6 to e, which gives e = i + 55.\n4. Substitute i = c + 12 to e, which gives e = c + 67.\n5. Substitute c = q + 15 to e, which gives e = q + 82.\n6. Substitute q = 10 to e, which gives e = 92.\n\nThus, the final answer is e = \\boxed{92}.",
"index": 23022,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = w + 12; q = 10; d = n + 12; g = q + 17; n = g + 2; x = j + 17; c = q + 15; o = i + 6; j = d + 9; b = o + 20; y = x + 12; i = c + 12; w = b + 17. If q = 10, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"w": "s + 8", "l": "w + 15", "v": "l + 6", "p": "v + 15", "y": "p + 7", "r": "y + 18", "z": "s + 16", "o": "z + 16", "n": "o + 20", "d": "n + 9", "i": "d + 5", "t": "i + 2", "s": 19}, "premises": {"s": 19}, "target": "r"}, "answer": {"steps": [["y", "p + 7", "p + 25"], ["p", "v + 15", "v + 40"], ["v", "l + 6", "l + 46"], ["l", "w + 15", "w + 61"], ["w", "s + 8", "s + 69"], ["s", 19, "88"]], "target_var_name": "r", "target_value": 88, "value_dict": {"s": 19}, "is_reverse": true}}
| 23,023
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = n + 9; y = p + 7; z = s + 16; v = l + 6; r = y + 18; t = i + 2; i = d + 5; n = o + 20; o = z + 16; w = s + 8; s = 19; l = w + 15; p = v + 15. If s = 19, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = p + 7 to r, which gives r = p + 25.\n2. Substitute p = v + 15 to r, which gives r = v + 40.\n3. Substitute v = l + 6 to r, which gives r = l + 46.\n4. Substitute l = w + 15 to r, which gives r = w + 61.\n5. Substitute w = s + 8 to r, which gives r = s + 69.\n6. Substitute s = 19 to r, which gives r = 88.\n\nThus, the final answer is r = \\boxed{88}.",
"index": 23023,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = n + 9; y = p + 7; z = s + 16; v = l + 6; r = y + 18; t = i + 2; i = d + 5; n = o + 20; o = z + 16; w = s + 8; s = 19; l = w + 15; p = v + 15. If s = 19, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"y": "v + 17", "a": "y + 1", "t": "a + 18", "c": "t + 8", "p": "c + 19", "i": "p + 17", "r": "v + 4", "w": "r + 7", "k": "w + 6", "x": "k + 11", "g": "x + 3", "b": "g + 4", "v": 16}, "premises": {"v": 16}, "target": "i"}, "answer": {"steps": [["p", "c + 19", "c + 36"], ["c", "t + 8", "t + 44"], ["t", "a + 18", "a + 62"], ["a", "y + 1", "y + 63"], ["y", "v + 17", "v + 80"], ["v", 16, "96"]], "target_var_name": "i", "target_value": 96, "value_dict": {"v": 16}, "is_reverse": true}}
| 23,024
| 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 + 7; g = x + 3; p = c + 19; y = v + 17; i = p + 17; a = y + 1; v = 16; k = w + 6; b = g + 4; x = k + 11; c = t + 8; r = v + 4; t = a + 18. If v = 16, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 96,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = c + 19 to i, which gives i = c + 36.\n2. Substitute c = t + 8 to i, which gives i = t + 44.\n3. Substitute t = a + 18 to i, which gives i = a + 62.\n4. Substitute a = y + 1 to i, which gives i = y + 63.\n5. Substitute y = v + 17 to i, which gives i = v + 80.\n6. Substitute v = 16 to i, which gives i = 96.\n\nThus, the final answer is i = \\boxed{96}.",
"index": 23024,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = r + 7; g = x + 3; p = c + 19; y = v + 17; i = p + 17; a = y + 1; v = 16; k = w + 6; b = g + 4; x = k + 11; c = t + 8; r = v + 4; t = a + 18. If v = 16, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"v": "w + 19", "x": "v + 10", "d": "x + 18", "i": "d + 16", "n": "i + 4", "z": "n + 8", "b": "w + 17", "f": "b + 11", "g": "f + 17", "u": "g + 14", "o": "u + 10", "a": "o + 11", "w": 7}, "premises": {"w": 7}, "target": "z"}, "answer": {"steps": [["n", "i + 4", "i + 12"], ["i", "d + 16", "d + 28"], ["d", "x + 18", "x + 46"], ["x", "v + 10", "v + 56"], ["v", "w + 19", "w + 75"], ["w", 7, "82"]], "target_var_name": "z", "target_value": 82, "value_dict": {"w": 7}, "is_reverse": true}}
| 23,025
| 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 = i + 4; w = 7; d = x + 18; z = n + 8; x = v + 10; v = w + 19; i = d + 16; g = f + 17; b = w + 17; a = o + 11; u = g + 14; f = b + 11; o = u + 10. If w = 7, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = i + 4 to z, which gives z = i + 12.\n2. Substitute i = d + 16 to z, which gives z = d + 28.\n3. Substitute d = x + 18 to z, which gives z = x + 46.\n4. Substitute x = v + 10 to z, which gives z = v + 56.\n5. Substitute v = w + 19 to z, which gives z = w + 75.\n6. Substitute w = 7 to z, which gives z = 82.\n\nThus, the final answer is z = \\boxed{82}.",
"index": 23025,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = i + 4; w = 7; d = x + 18; z = n + 8; x = v + 10; v = w + 19; i = d + 16; g = f + 17; b = w + 17; a = o + 11; u = g + 14; f = b + 11; o = u + 10. If w = 7, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"g": "f + 6", "p": "g + 9", "e": "p + 8", "y": "e + 14", "a": "y + 2", "u": "a + 7", "m": "f + 4", "w": "m + 1", "n": "w + 13", "q": "n + 4", "x": "q + 1", "d": "x + 10", "f": 20}, "premises": {"f": 20}, "target": "u"}, "answer": {"steps": [["a", "y + 2", "y + 9"], ["y", "e + 14", "e + 23"], ["e", "p + 8", "p + 31"], ["p", "g + 9", "g + 40"], ["g", "f + 6", "f + 46"], ["f", 20, "66"]], "target_var_name": "u", "target_value": 66, "value_dict": {"f": 20}, "is_reverse": true}}
| 23,026
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = e + 14; w = m + 1; e = p + 8; n = w + 13; q = n + 4; m = f + 4; x = q + 1; d = x + 10; u = a + 7; f = 20; g = f + 6; p = g + 9; a = y + 2. Given that f = 20, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = y + 2 to u, which gives u = y + 9.\n2. Substitute y = e + 14 to u, which gives u = e + 23.\n3. Substitute e = p + 8 to u, which gives u = p + 31.\n4. Substitute p = g + 9 to u, which gives u = g + 40.\n5. Substitute g = f + 6 to u, which gives u = f + 46.\n6. Substitute f = 20 to u, which gives u = 66.\n\nThus, the final answer is u = \\boxed{66}.",
"index": 23026,
"question": "Suppose a collection of variables is related by the following definitions: y = e + 14; w = m + 1; e = p + 8; n = w + 13; q = n + 4; m = f + 4; x = q + 1; d = x + 10; u = a + 7; f = 20; g = f + 6; p = g + 9; a = y + 2. Given that f = 20, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"h": "v + 14", "y": "h + 12", "z": "y + 18", "l": "z + 13", "f": "l + 12", "i": "f + 12", "m": "v + 11", "e": "m + 16", "d": "e + 9", "c": "d + 17", "n": "c + 12", "p": "n + 11", "v": 8}, "premises": {"v": 8}, "target": "i"}, "answer": {"steps": [["f", "l + 12", "l + 24"], ["l", "z + 13", "z + 37"], ["z", "y + 18", "y + 55"], ["y", "h + 12", "h + 67"], ["h", "v + 14", "v + 81"], ["v", 8, "89"]], "target_var_name": "i", "target_value": 89, "value_dict": {"v": 8}, "is_reverse": true}}
| 23,027
| 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 = l + 12; v = 8; h = v + 14; c = d + 17; n = c + 12; d = e + 9; e = m + 16; i = f + 12; l = z + 13; p = n + 11; y = h + 12; m = v + 11; z = y + 18. If v = 8, what is the resulting 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 f = l + 12 to i, which gives i = l + 24.\n2. Substitute l = z + 13 to i, which gives i = z + 37.\n3. Substitute z = y + 18 to i, which gives i = y + 55.\n4. Substitute y = h + 12 to i, which gives i = h + 67.\n5. Substitute h = v + 14 to i, which gives i = v + 81.\n6. Substitute v = 8 to i, which gives i = 89.\n\nThus, the final answer is i = \\boxed{89}.",
"index": 23027,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = l + 12; v = 8; h = v + 14; c = d + 17; n = c + 12; d = e + 9; e = m + 16; i = f + 12; l = z + 13; p = n + 11; y = h + 12; m = v + 11; z = y + 18. If v = 8, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"m": "t + 12", "i": "m + 1", "g": "i + 18", "f": "g + 1", "x": "f + 17", "q": "x + 17", "p": "t + 14", "j": "p + 10", "u": "j + 17", "h": "u + 9", "b": "h + 16", "a": "b + 4", "t": 18}, "premises": {"t": 18}, "target": "q"}, "answer": {"steps": [["x", "f + 17", "f + 34"], ["f", "g + 1", "g + 35"], ["g", "i + 18", "i + 53"], ["i", "m + 1", "m + 54"], ["m", "t + 12", "t + 66"], ["t", 18, "84"]], "target_var_name": "q", "target_value": 84, "value_dict": {"t": 18}, "is_reverse": true}}
| 23,028
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = h + 16; t = 18; i = m + 1; p = t + 14; x = f + 17; q = x + 17; g = i + 18; m = t + 12; j = p + 10; u = j + 17; a = b + 4; h = u + 9; f = g + 1. Given that t = 18, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = f + 17 to q, which gives q = f + 34.\n2. Substitute f = g + 1 to q, which gives q = g + 35.\n3. Substitute g = i + 18 to q, which gives q = i + 53.\n4. Substitute i = m + 1 to q, which gives q = m + 54.\n5. Substitute m = t + 12 to q, which gives q = t + 66.\n6. Substitute t = 18 to q, which gives q = 84.\n\nThus, the final answer is q = \\boxed{84}.",
"index": 23028,
"question": "Suppose a collection of variables is related by the following definitions: b = h + 16; t = 18; i = m + 1; p = t + 14; x = f + 17; q = x + 17; g = i + 18; m = t + 12; j = p + 10; u = j + 17; a = b + 4; h = u + 9; f = g + 1. Given that t = 18, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"s": "c + 8", "e": "s + 17", "o": "e + 13", "y": "o + 8", "x": "y + 20", "v": "x + 19", "h": "c + 3", "f": "h + 7", "t": "f + 6", "m": "t + 16", "r": "m + 18", "k": "r + 17", "c": 18}, "premises": {"c": 18}, "target": "v"}, "answer": {"steps": [["x", "y + 20", "y + 39"], ["y", "o + 8", "o + 47"], ["o", "e + 13", "e + 60"], ["e", "s + 17", "s + 77"], ["s", "c + 8", "c + 85"], ["c", 18, "103"]], "target_var_name": "v", "target_value": 103, "value_dict": {"c": 18}, "is_reverse": true}}
| 23,029
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = c + 3; y = o + 8; t = f + 6; f = h + 7; e = s + 17; k = r + 17; s = c + 8; v = x + 19; m = t + 16; r = m + 18; x = y + 20; c = 18; o = e + 13. Given that c = 18, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 103,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = y + 20 to v, which gives v = y + 39.\n2. Substitute y = o + 8 to v, which gives v = o + 47.\n3. Substitute o = e + 13 to v, which gives v = e + 60.\n4. Substitute e = s + 17 to v, which gives v = s + 77.\n5. Substitute s = c + 8 to v, which gives v = c + 85.\n6. Substitute c = 18 to v, which gives v = 103.\n\nThus, the final answer is v = \\boxed{103}.",
"index": 23029,
"question": "Suppose a collection of variables is related by the following definitions: h = c + 3; y = o + 8; t = f + 6; f = h + 7; e = s + 17; k = r + 17; s = c + 8; v = x + 19; m = t + 16; r = m + 18; x = y + 20; c = 18; o = e + 13. Given that c = 18, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"j": "u + 5", "q": "j + 6", "d": "q + 6", "n": "d + 1", "r": "n + 3", "y": "r + 10", "h": "u + 9", "i": "h + 17", "z": "i + 12", "f": "z + 8", "m": "f + 15", "b": "m + 11", "u": 6}, "premises": {"u": 6}, "target": "y"}, "answer": {"steps": [["r", "n + 3", "n + 13"], ["n", "d + 1", "d + 14"], ["d", "q + 6", "q + 20"], ["q", "j + 6", "j + 26"], ["j", "u + 5", "u + 31"], ["u", 6, "37"]], "target_var_name": "y", "target_value": 37, "value_dict": {"u": 6}, "is_reverse": true}}
| 23,030
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = r + 10; u = 6; q = j + 6; i = h + 17; d = q + 6; h = u + 9; j = u + 5; z = i + 12; m = f + 15; r = n + 3; b = m + 11; f = z + 8; n = d + 1. If u = 6, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 37,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = n + 3 to y, which gives y = n + 13.\n2. Substitute n = d + 1 to y, which gives y = d + 14.\n3. Substitute d = q + 6 to y, which gives y = q + 20.\n4. Substitute q = j + 6 to y, which gives y = j + 26.\n5. Substitute j = u + 5 to y, which gives y = u + 31.\n6. Substitute u = 6 to y, which gives y = 37.\n\nThus, the final answer is y = \\boxed{37}.",
"index": 23030,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = r + 10; u = 6; q = j + 6; i = h + 17; d = q + 6; h = u + 9; j = u + 5; z = i + 12; m = f + 15; r = n + 3; b = m + 11; f = z + 8; n = d + 1. If u = 6, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"c": "y + 7", "r": "c + 15", "g": "r + 16", "t": "g + 16", "v": "t + 6", "j": "v + 7", "w": "y + 11", "m": "w + 6", "b": "m + 4", "q": "b + 14", "k": "q + 9", "h": "k + 9", "y": 19}, "premises": {"y": 19}, "target": "j"}, "answer": {"steps": [["v", "t + 6", "t + 13"], ["t", "g + 16", "g + 29"], ["g", "r + 16", "r + 45"], ["r", "c + 15", "c + 60"], ["c", "y + 7", "y + 67"], ["y", 19, "86"]], "target_var_name": "j", "target_value": 86, "value_dict": {"y": 19}, "is_reverse": true}}
| 23,031
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = r + 16; b = m + 4; h = k + 9; j = v + 7; m = w + 6; q = b + 14; k = q + 9; v = t + 6; r = c + 15; y = 19; w = y + 11; t = g + 16; c = y + 7. Given that y = 19, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = t + 6 to j, which gives j = t + 13.\n2. Substitute t = g + 16 to j, which gives j = g + 29.\n3. Substitute g = r + 16 to j, which gives j = r + 45.\n4. Substitute r = c + 15 to j, which gives j = c + 60.\n5. Substitute c = y + 7 to j, which gives j = y + 67.\n6. Substitute y = 19 to j, which gives j = 86.\n\nThus, the final answer is j = \\boxed{86}.",
"index": 23031,
"question": "Suppose a collection of variables is related by the following definitions: g = r + 16; b = m + 4; h = k + 9; j = v + 7; m = w + 6; q = b + 14; k = q + 9; v = t + 6; r = c + 15; y = 19; w = y + 11; t = g + 16; c = y + 7. Given that y = 19, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"g": "v + 1", "m": "g + 14", "j": "m + 4", "q": "j + 15", "x": "q + 3", "y": "x + 9", "a": "v + 6", "s": "a + 6", "t": "s + 8", "d": "t + 12", "u": "d + 18", "r": "u + 19", "v": 2}, "premises": {"v": 2}, "target": "y"}, "answer": {"steps": [["x", "q + 3", "q + 12"], ["q", "j + 15", "j + 27"], ["j", "m + 4", "m + 31"], ["m", "g + 14", "g + 45"], ["g", "v + 1", "v + 46"], ["v", 2, "48"]], "target_var_name": "y", "target_value": 48, "value_dict": {"v": 2}, "is_reverse": true}}
| 23,032
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = v + 1; d = t + 12; x = q + 3; s = a + 6; m = g + 14; y = x + 9; r = u + 19; j = m + 4; v = 2; q = j + 15; u = d + 18; t = s + 8; a = v + 6. Given that v = 2, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 48,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = q + 3 to y, which gives y = q + 12.\n2. Substitute q = j + 15 to y, which gives y = j + 27.\n3. Substitute j = m + 4 to y, which gives y = m + 31.\n4. Substitute m = g + 14 to y, which gives y = g + 45.\n5. Substitute g = v + 1 to y, which gives y = v + 46.\n6. Substitute v = 2 to y, which gives y = 48.\n\nThus, the final answer is y = \\boxed{48}.",
"index": 23032,
"question": "Suppose a collection of variables is related by the following definitions: g = v + 1; d = t + 12; x = q + 3; s = a + 6; m = g + 14; y = x + 9; r = u + 19; j = m + 4; v = 2; q = j + 15; u = d + 18; t = s + 8; a = v + 6. Given that v = 2, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"h": "y + 13", "v": "h + 7", "m": "v + 19", "t": "m + 16", "w": "t + 17", "p": "w + 17", "a": "y + 12", "k": "a + 9", "x": "k + 11", "d": "x + 18", "e": "d + 17", "j": "e + 7", "y": 20}, "premises": {"y": 20}, "target": "p"}, "answer": {"steps": [["w", "t + 17", "t + 34"], ["t", "m + 16", "m + 50"], ["m", "v + 19", "v + 69"], ["v", "h + 7", "h + 76"], ["h", "y + 13", "y + 89"], ["y", 20, "109"]], "target_var_name": "p", "target_value": 109, "value_dict": {"y": 20}, "is_reverse": true}}
| 23,033
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = d + 17; p = w + 17; y = 20; k = a + 9; j = e + 7; w = t + 17; a = y + 12; x = k + 11; t = m + 16; m = v + 19; d = x + 18; h = y + 13; v = h + 7. If y = 20, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 109,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = t + 17 to p, which gives p = t + 34.\n2. Substitute t = m + 16 to p, which gives p = m + 50.\n3. Substitute m = v + 19 to p, which gives p = v + 69.\n4. Substitute v = h + 7 to p, which gives p = h + 76.\n5. Substitute h = y + 13 to p, which gives p = y + 89.\n6. Substitute y = 20 to p, which gives p = 109.\n\nThus, the final answer is p = \\boxed{109}.",
"index": 23033,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = d + 17; p = w + 17; y = 20; k = a + 9; j = e + 7; w = t + 17; a = y + 12; x = k + 11; t = m + 16; m = v + 19; d = x + 18; h = y + 13; v = h + 7. If y = 20, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"k": "e + 4", "t": "k + 7", "v": "t + 8", "r": "v + 3", "y": "r + 20", "q": "y + 10", "h": "e + 7", "d": "h + 20", "j": "d + 14", "w": "j + 1", "n": "w + 12", "i": "n + 1", "e": 6}, "premises": {"e": 6}, "target": "q"}, "answer": {"steps": [["y", "r + 20", "r + 30"], ["r", "v + 3", "v + 33"], ["v", "t + 8", "t + 41"], ["t", "k + 7", "k + 48"], ["k", "e + 4", "e + 52"], ["e", 6, "58"]], "target_var_name": "q", "target_value": 58, "value_dict": {"e": 6}, "is_reverse": true}}
| 23,034
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = t + 8; w = j + 1; j = d + 14; q = y + 10; e = 6; n = w + 12; r = v + 3; d = h + 20; y = r + 20; h = e + 7; k = e + 4; i = n + 1; t = k + 7. Given that e = 6, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = r + 20 to q, which gives q = r + 30.\n2. Substitute r = v + 3 to q, which gives q = v + 33.\n3. Substitute v = t + 8 to q, which gives q = t + 41.\n4. Substitute t = k + 7 to q, which gives q = k + 48.\n5. Substitute k = e + 4 to q, which gives q = e + 52.\n6. Substitute e = 6 to q, which gives q = 58.\n\nThus, the final answer is q = \\boxed{58}.",
"index": 23034,
"question": "Suppose a collection of variables is related by the following definitions: v = t + 8; w = j + 1; j = d + 14; q = y + 10; e = 6; n = w + 12; r = v + 3; d = h + 20; y = r + 20; h = e + 7; k = e + 4; i = n + 1; t = k + 7. Given that e = 6, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"z": "t + 15", "e": "z + 11", "m": "e + 11", "v": "m + 19", "j": "v + 8", "g": "j + 17", "c": "t + 11", "q": "c + 4", "r": "q + 7", "u": "r + 11", "s": "u + 6", "h": "s + 3", "t": 7}, "premises": {"t": 7}, "target": "g"}, "answer": {"steps": [["j", "v + 8", "v + 25"], ["v", "m + 19", "m + 44"], ["m", "e + 11", "e + 55"], ["e", "z + 11", "z + 66"], ["z", "t + 15", "t + 81"], ["t", 7, "88"]], "target_var_name": "g", "target_value": 88, "value_dict": {"t": 7}, "is_reverse": true}}
| 23,035
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = c + 4; g = j + 17; m = e + 11; v = m + 19; z = t + 15; j = v + 8; u = r + 11; c = t + 11; h = s + 3; e = z + 11; t = 7; r = q + 7; s = u + 6. If t = 7, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = v + 8 to g, which gives g = v + 25.\n2. Substitute v = m + 19 to g, which gives g = m + 44.\n3. Substitute m = e + 11 to g, which gives g = e + 55.\n4. Substitute e = z + 11 to g, which gives g = z + 66.\n5. Substitute z = t + 15 to g, which gives g = t + 81.\n6. Substitute t = 7 to g, which gives g = 88.\n\nThus, the final answer is g = \\boxed{88}.",
"index": 23035,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = c + 4; g = j + 17; m = e + 11; v = m + 19; z = t + 15; j = v + 8; u = r + 11; c = t + 11; h = s + 3; e = z + 11; t = 7; r = q + 7; s = u + 6. If t = 7, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"v": "m + 13", "n": "v + 5", "u": "n + 15", "o": "u + 1", "x": "o + 20", "r": "x + 2", "c": "m + 6", "d": "c + 7", "k": "d + 1", "y": "k + 7", "w": "y + 12", "f": "w + 18", "m": 6}, "premises": {"m": 6}, "target": "r"}, "answer": {"steps": [["x", "o + 20", "o + 22"], ["o", "u + 1", "u + 23"], ["u", "n + 15", "n + 38"], ["n", "v + 5", "v + 43"], ["v", "m + 13", "m + 56"], ["m", 6, "62"]], "target_var_name": "r", "target_value": 62, "value_dict": {"m": 6}, "is_reverse": true}}
| 23,036
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = v + 5; k = d + 1; d = c + 7; v = m + 13; w = y + 12; u = n + 15; y = k + 7; m = 6; o = u + 1; r = x + 2; x = o + 20; f = w + 18; c = m + 6. If m = 6, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = o + 20 to r, which gives r = o + 22.\n2. Substitute o = u + 1 to r, which gives r = u + 23.\n3. Substitute u = n + 15 to r, which gives r = n + 38.\n4. Substitute n = v + 5 to r, which gives r = v + 43.\n5. Substitute v = m + 13 to r, which gives r = m + 56.\n6. Substitute m = 6 to r, which gives r = 62.\n\nThus, the final answer is r = \\boxed{62}.",
"index": 23036,
"question": "Consider a system of variables where each variable is defined as follows: n = v + 5; k = d + 1; d = c + 7; v = m + 13; w = y + 12; u = n + 15; y = k + 7; m = 6; o = u + 1; r = x + 2; x = o + 20; f = w + 18; c = m + 6. If m = 6, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"q": "r + 2", "f": "q + 2", "u": "f + 3", "c": "u + 8", "i": "c + 11", "e": "i + 16", "o": "r + 9", "y": "o + 3", "t": "y + 6", "l": "t + 5", "j": "l + 13", "v": "j + 10", "r": 8}, "premises": {"r": 8}, "target": "e"}, "answer": {"steps": [["i", "c + 11", "c + 27"], ["c", "u + 8", "u + 35"], ["u", "f + 3", "f + 38"], ["f", "q + 2", "q + 40"], ["q", "r + 2", "r + 42"], ["r", 8, "50"]], "target_var_name": "e", "target_value": 50, "value_dict": {"r": 8}, "is_reverse": true}}
| 23,037
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = f + 3; j = l + 13; t = y + 6; q = r + 2; e = i + 16; v = j + 10; f = q + 2; r = 8; l = t + 5; i = c + 11; y = o + 3; o = r + 9; c = u + 8. If r = 8, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 50,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = c + 11 to e, which gives e = c + 27.\n2. Substitute c = u + 8 to e, which gives e = u + 35.\n3. Substitute u = f + 3 to e, which gives e = f + 38.\n4. Substitute f = q + 2 to e, which gives e = q + 40.\n5. Substitute q = r + 2 to e, which gives e = r + 42.\n6. Substitute r = 8 to e, which gives e = 50.\n\nThus, the final answer is e = \\boxed{50}.",
"index": 23037,
"question": "Consider a system of variables where each variable is defined as follows: u = f + 3; j = l + 13; t = y + 6; q = r + 2; e = i + 16; v = j + 10; f = q + 2; r = 8; l = t + 5; i = c + 11; y = o + 3; o = r + 9; c = u + 8. If r = 8, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"m": "u + 16", "p": "m + 9", "y": "p + 4", "c": "y + 4", "w": "c + 17", "j": "w + 7", "z": "u + 15", "o": "z + 20", "s": "o + 1", "a": "s + 12", "g": "a + 20", "k": "g + 16", "u": 19}, "premises": {"u": 19}, "target": "j"}, "answer": {"steps": [["w", "c + 17", "c + 24"], ["c", "y + 4", "y + 28"], ["y", "p + 4", "p + 32"], ["p", "m + 9", "m + 41"], ["m", "u + 16", "u + 57"], ["u", 19, "76"]], "target_var_name": "j", "target_value": 76, "value_dict": {"u": 19}, "is_reverse": true}}
| 23,038
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = c + 17; m = u + 16; u = 19; o = z + 20; y = p + 4; p = m + 9; c = y + 4; s = o + 1; g = a + 20; z = u + 15; k = g + 16; j = w + 7; a = s + 12. Given that u = 19, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = c + 17 to j, which gives j = c + 24.\n2. Substitute c = y + 4 to j, which gives j = y + 28.\n3. Substitute y = p + 4 to j, which gives j = p + 32.\n4. Substitute p = m + 9 to j, which gives j = m + 41.\n5. Substitute m = u + 16 to j, which gives j = u + 57.\n6. Substitute u = 19 to j, which gives j = 76.\n\nThus, the final answer is j = \\boxed{76}.",
"index": 23038,
"question": "Suppose a collection of variables is related by the following definitions: w = c + 17; m = u + 16; u = 19; o = z + 20; y = p + 4; p = m + 9; c = y + 4; s = o + 1; g = a + 20; z = u + 15; k = g + 16; j = w + 7; a = s + 12. Given that u = 19, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"m": "q + 12", "o": "m + 14", "k": "o + 9", "d": "k + 1", "e": "d + 6", "p": "e + 11", "h": "q + 15", "v": "h + 5", "n": "v + 19", "w": "n + 14", "t": "w + 10", "c": "t + 12", "q": 9}, "premises": {"q": 9}, "target": "p"}, "answer": {"steps": [["e", "d + 6", "d + 17"], ["d", "k + 1", "k + 18"], ["k", "o + 9", "o + 27"], ["o", "m + 14", "m + 41"], ["m", "q + 12", "q + 53"], ["q", 9, "62"]], "target_var_name": "p", "target_value": 62, "value_dict": {"q": 9}, "is_reverse": true}}
| 23,039
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = q + 12; c = t + 12; p = e + 11; v = h + 5; k = o + 9; t = w + 10; h = q + 15; d = k + 1; w = n + 14; n = v + 19; q = 9; e = d + 6; o = m + 14. If q = 9, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = d + 6 to p, which gives p = d + 17.\n2. Substitute d = k + 1 to p, which gives p = k + 18.\n3. Substitute k = o + 9 to p, which gives p = o + 27.\n4. Substitute o = m + 14 to p, which gives p = m + 41.\n5. Substitute m = q + 12 to p, which gives p = q + 53.\n6. Substitute q = 9 to p, which gives p = 62.\n\nThus, the final answer is p = \\boxed{62}.",
"index": 23039,
"question": "Consider a system of variables where each variable is defined as follows: m = q + 12; c = t + 12; p = e + 11; v = h + 5; k = o + 9; t = w + 10; h = q + 15; d = k + 1; w = n + 14; n = v + 19; q = 9; e = d + 6; o = m + 14. If q = 9, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"g": "j + 3", "h": "g + 19", "u": "h + 1", "a": "u + 10", "r": "a + 20", "l": "r + 1", "d": "j + 13", "z": "d + 1", "e": "z + 7", "i": "e + 9", "s": "i + 9", "f": "s + 5", "j": 15}, "premises": {"j": 15}, "target": "l"}, "answer": {"steps": [["r", "a + 20", "a + 21"], ["a", "u + 10", "u + 31"], ["u", "h + 1", "h + 32"], ["h", "g + 19", "g + 51"], ["g", "j + 3", "j + 54"], ["j", 15, "69"]], "target_var_name": "l", "target_value": 69, "value_dict": {"j": 15}, "is_reverse": true}}
| 23,040
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = j + 3; a = u + 10; s = i + 9; z = d + 1; l = r + 1; d = j + 13; i = e + 9; r = a + 20; e = z + 7; h = g + 19; j = 15; f = s + 5; u = h + 1. If j = 15, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = a + 20 to l, which gives l = a + 21.\n2. Substitute a = u + 10 to l, which gives l = u + 31.\n3. Substitute u = h + 1 to l, which gives l = h + 32.\n4. Substitute h = g + 19 to l, which gives l = g + 51.\n5. Substitute g = j + 3 to l, which gives l = j + 54.\n6. Substitute j = 15 to l, which gives l = 69.\n\nThus, the final answer is l = \\boxed{69}.",
"index": 23040,
"question": "Consider a system of variables where each variable is defined as follows: g = j + 3; a = u + 10; s = i + 9; z = d + 1; l = r + 1; d = j + 13; i = e + 9; r = a + 20; e = z + 7; h = g + 19; j = 15; f = s + 5; u = h + 1. If j = 15, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"g": "d + 6", "k": "g + 15", "t": "k + 5", "p": "t + 6", "q": "p + 11", "e": "q + 3", "f": "d + 3", "h": "f + 11", "o": "h + 7", "u": "o + 9", "w": "u + 8", "z": "w + 11", "d": 15}, "premises": {"d": 15}, "target": "e"}, "answer": {"steps": [["q", "p + 11", "p + 14"], ["p", "t + 6", "t + 20"], ["t", "k + 5", "k + 25"], ["k", "g + 15", "g + 40"], ["g", "d + 6", "d + 46"], ["d", 15, "61"]], "target_var_name": "e", "target_value": 61, "value_dict": {"d": 15}, "is_reverse": true}}
| 23,041
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = o + 9; g = d + 6; d = 15; h = f + 11; t = k + 5; f = d + 3; o = h + 7; z = w + 11; w = u + 8; k = g + 15; e = q + 3; p = t + 6; q = p + 11. Given that d = 15, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = p + 11 to e, which gives e = p + 14.\n2. Substitute p = t + 6 to e, which gives e = t + 20.\n3. Substitute t = k + 5 to e, which gives e = k + 25.\n4. Substitute k = g + 15 to e, which gives e = g + 40.\n5. Substitute g = d + 6 to e, which gives e = d + 46.\n6. Substitute d = 15 to e, which gives e = 61.\n\nThus, the final answer is e = \\boxed{61}.",
"index": 23041,
"question": "Suppose a collection of variables is related by the following definitions: u = o + 9; g = d + 6; d = 15; h = f + 11; t = k + 5; f = d + 3; o = h + 7; z = w + 11; w = u + 8; k = g + 15; e = q + 3; p = t + 6; q = p + 11. Given that d = 15, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"c": "h + 9", "s": "c + 9", "b": "s + 12", "r": "b + 19", "l": "r + 12", "j": "l + 17", "x": "h + 18", "f": "x + 12", "o": "f + 9", "i": "o + 12", "v": "i + 2", "a": "v + 10", "h": 8}, "premises": {"h": 8}, "target": "j"}, "answer": {"steps": [["l", "r + 12", "r + 29"], ["r", "b + 19", "b + 48"], ["b", "s + 12", "s + 60"], ["s", "c + 9", "c + 69"], ["c", "h + 9", "h + 78"], ["h", 8, "86"]], "target_var_name": "j", "target_value": 86, "value_dict": {"h": 8}, "is_reverse": true}}
| 23,042
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = l + 17; b = s + 12; f = x + 12; o = f + 9; i = o + 12; x = h + 18; l = r + 12; h = 8; a = v + 10; c = h + 9; s = c + 9; v = i + 2; r = b + 19. Given that h = 8, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = r + 12 to j, which gives j = r + 29.\n2. Substitute r = b + 19 to j, which gives j = b + 48.\n3. Substitute b = s + 12 to j, which gives j = s + 60.\n4. Substitute s = c + 9 to j, which gives j = c + 69.\n5. Substitute c = h + 9 to j, which gives j = h + 78.\n6. Substitute h = 8 to j, which gives j = 86.\n\nThus, the final answer is j = \\boxed{86}.",
"index": 23042,
"question": "Suppose a collection of variables is related by the following definitions: j = l + 17; b = s + 12; f = x + 12; o = f + 9; i = o + 12; x = h + 18; l = r + 12; h = 8; a = v + 10; c = h + 9; s = c + 9; v = i + 2; r = b + 19. Given that h = 8, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"p": "j + 14", "v": "p + 1", "k": "v + 4", "r": "k + 20", "s": "r + 18", "l": "s + 8", "q": "j + 14", "g": "q + 11", "n": "g + 18", "u": "n + 3", "m": "u + 1", "o": "m + 4", "j": 17}, "premises": {"j": 17}, "target": "l"}, "answer": {"steps": [["s", "r + 18", "r + 26"], ["r", "k + 20", "k + 46"], ["k", "v + 4", "v + 50"], ["v", "p + 1", "p + 51"], ["p", "j + 14", "j + 65"], ["j", 17, "82"]], "target_var_name": "l", "target_value": 82, "value_dict": {"j": 17}, "is_reverse": true}}
| 23,043
| 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 + 8; p = j + 14; n = g + 18; m = u + 1; s = r + 18; o = m + 4; k = v + 4; q = j + 14; j = 17; u = n + 3; r = k + 20; v = p + 1; g = q + 11. If j = 17, determine 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 s = r + 18 to l, which gives l = r + 26.\n2. Substitute r = k + 20 to l, which gives l = k + 46.\n3. Substitute k = v + 4 to l, which gives l = v + 50.\n4. Substitute v = p + 1 to l, which gives l = p + 51.\n5. Substitute p = j + 14 to l, which gives l = j + 65.\n6. Substitute j = 17 to l, which gives l = 82.\n\nThus, the final answer is l = \\boxed{82}.",
"index": 23043,
"question": "Consider a system of variables where each variable is defined as follows: l = s + 8; p = j + 14; n = g + 18; m = u + 1; s = r + 18; o = m + 4; k = v + 4; q = j + 14; j = 17; u = n + 3; r = k + 20; v = p + 1; g = q + 11. If j = 17, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"g": "o + 13", "f": "g + 2", "l": "f + 15", "j": "l + 4", "h": "j + 12", "y": "h + 10", "v": "o + 17", "q": "v + 9", "p": "q + 14", "x": "p + 13", "n": "x + 9", "c": "n + 17", "o": 14}, "premises": {"o": 14}, "target": "y"}, "answer": {"steps": [["h", "j + 12", "j + 22"], ["j", "l + 4", "l + 26"], ["l", "f + 15", "f + 41"], ["f", "g + 2", "g + 43"], ["g", "o + 13", "o + 56"], ["o", 14, "70"]], "target_var_name": "y", "target_value": 70, "value_dict": {"o": 14}, "is_reverse": true}}
| 23,044
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = f + 15; g = o + 13; y = h + 10; n = x + 9; h = j + 12; j = l + 4; v = o + 17; p = q + 14; q = v + 9; f = g + 2; x = p + 13; c = n + 17; o = 14. If o = 14, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = j + 12 to y, which gives y = j + 22.\n2. Substitute j = l + 4 to y, which gives y = l + 26.\n3. Substitute l = f + 15 to y, which gives y = f + 41.\n4. Substitute f = g + 2 to y, which gives y = g + 43.\n5. Substitute g = o + 13 to y, which gives y = o + 56.\n6. Substitute o = 14 to y, which gives y = 70.\n\nThus, the final answer is y = \\boxed{70}.",
"index": 23044,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = f + 15; g = o + 13; y = h + 10; n = x + 9; h = j + 12; j = l + 4; v = o + 17; p = q + 14; q = v + 9; f = g + 2; x = p + 13; c = n + 17; o = 14. If o = 14, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"k": "x + 1", "a": "k + 10", "e": "a + 16", "w": "e + 17", "t": "w + 16", "n": "t + 18", "j": "x + 15", "i": "j + 1", "y": "i + 3", "s": "y + 12", "m": "s + 12", "u": "m + 11", "x": 5}, "premises": {"x": 5}, "target": "n"}, "answer": {"steps": [["t", "w + 16", "w + 34"], ["w", "e + 17", "e + 51"], ["e", "a + 16", "a + 67"], ["a", "k + 10", "k + 77"], ["k", "x + 1", "x + 78"], ["x", 5, "83"]], "target_var_name": "n", "target_value": 83, "value_dict": {"x": 5}, "is_reverse": true}}
| 23,045
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = w + 16; s = y + 12; e = a + 16; m = s + 12; y = i + 3; k = x + 1; i = j + 1; x = 5; w = e + 17; a = k + 10; n = t + 18; j = x + 15; u = m + 11. Given that x = 5, find the 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 t = w + 16 to n, which gives n = w + 34.\n2. Substitute w = e + 17 to n, which gives n = e + 51.\n3. Substitute e = a + 16 to n, which gives n = a + 67.\n4. Substitute a = k + 10 to n, which gives n = k + 77.\n5. Substitute k = x + 1 to n, which gives n = x + 78.\n6. Substitute x = 5 to n, which gives n = 83.\n\nThus, the final answer is n = \\boxed{83}.",
"index": 23045,
"question": "Suppose a collection of variables is related by the following definitions: t = w + 16; s = y + 12; e = a + 16; m = s + 12; y = i + 3; k = x + 1; i = j + 1; x = 5; w = e + 17; a = k + 10; n = t + 18; j = x + 15; u = m + 11. Given that x = 5, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"b": "v + 15", "l": "b + 4", "z": "l + 16", "o": "z + 1", "k": "o + 15", "w": "k + 7", "x": "v + 15", "j": "x + 18", "c": "j + 4", "e": "c + 7", "g": "e + 17", "d": "g + 6", "v": 2}, "premises": {"v": 2}, "target": "w"}, "answer": {"steps": [["k", "o + 15", "o + 22"], ["o", "z + 1", "z + 23"], ["z", "l + 16", "l + 39"], ["l", "b + 4", "b + 43"], ["b", "v + 15", "v + 58"], ["v", 2, "60"]], "target_var_name": "w", "target_value": 60, "value_dict": {"v": 2}, "is_reverse": true}}
| 23,046
| 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 = v + 15; l = b + 4; o = z + 1; e = c + 7; k = o + 15; c = j + 4; d = g + 6; j = x + 18; z = l + 16; b = v + 15; w = k + 7; v = 2; g = e + 17. If v = 2, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = o + 15 to w, which gives w = o + 22.\n2. Substitute o = z + 1 to w, which gives w = z + 23.\n3. Substitute z = l + 16 to w, which gives w = l + 39.\n4. Substitute l = b + 4 to w, which gives w = b + 43.\n5. Substitute b = v + 15 to w, which gives w = v + 58.\n6. Substitute v = 2 to w, which gives w = 60.\n\nThus, the final answer is w = \\boxed{60}.",
"index": 23046,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = v + 15; l = b + 4; o = z + 1; e = c + 7; k = o + 15; c = j + 4; d = g + 6; j = x + 18; z = l + 16; b = v + 15; w = k + 7; v = 2; g = e + 17. If v = 2, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"f": "y + 6", "l": "f + 12", "c": "l + 4", "m": "c + 8", "p": "m + 20", "a": "p + 11", "n": "y + 16", "b": "n + 1", "u": "b + 12", "s": "u + 8", "v": "s + 12", "x": "v + 8", "y": 14}, "premises": {"y": 14}, "target": "a"}, "answer": {"steps": [["p", "m + 20", "m + 31"], ["m", "c + 8", "c + 39"], ["c", "l + 4", "l + 43"], ["l", "f + 12", "f + 55"], ["f", "y + 6", "y + 61"], ["y", 14, "75"]], "target_var_name": "a", "target_value": 75, "value_dict": {"y": 14}, "is_reverse": true}}
| 23,047
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = f + 12; c = l + 4; v = s + 12; u = b + 12; y = 14; n = y + 16; a = p + 11; m = c + 8; s = u + 8; b = n + 1; p = m + 20; x = v + 8; f = y + 6. If y = 14, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = m + 20 to a, which gives a = m + 31.\n2. Substitute m = c + 8 to a, which gives a = c + 39.\n3. Substitute c = l + 4 to a, which gives a = l + 43.\n4. Substitute l = f + 12 to a, which gives a = f + 55.\n5. Substitute f = y + 6 to a, which gives a = y + 61.\n6. Substitute y = 14 to a, which gives a = 75.\n\nThus, the final answer is a = \\boxed{75}.",
"index": 23047,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = f + 12; c = l + 4; v = s + 12; u = b + 12; y = 14; n = y + 16; a = p + 11; m = c + 8; s = u + 8; b = n + 1; p = m + 20; x = v + 8; f = y + 6. If y = 14, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"x": "d + 17", "e": "x + 10", "a": "e + 7", "u": "a + 11", "g": "u + 16", "s": "g + 9", "i": "d + 7", "c": "i + 13", "m": "c + 3", "j": "m + 9", "b": "j + 11", "f": "b + 14", "d": 2}, "premises": {"d": 2}, "target": "s"}, "answer": {"steps": [["g", "u + 16", "u + 25"], ["u", "a + 11", "a + 36"], ["a", "e + 7", "e + 43"], ["e", "x + 10", "x + 53"], ["x", "d + 17", "d + 70"], ["d", 2, "72"]], "target_var_name": "s", "target_value": 72, "value_dict": {"d": 2}, "is_reverse": true}}
| 23,048
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = c + 3; g = u + 16; b = j + 11; x = d + 17; i = d + 7; f = b + 14; s = g + 9; d = 2; j = m + 9; e = x + 10; u = a + 11; c = i + 13; a = e + 7. Given that d = 2, find 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 g = u + 16 to s, which gives s = u + 25.\n2. Substitute u = a + 11 to s, which gives s = a + 36.\n3. Substitute a = e + 7 to s, which gives s = e + 43.\n4. Substitute e = x + 10 to s, which gives s = x + 53.\n5. Substitute x = d + 17 to s, which gives s = d + 70.\n6. Substitute d = 2 to s, which gives s = 72.\n\nThus, the final answer is s = \\boxed{72}.",
"index": 23048,
"question": "Suppose a collection of variables is related by the following definitions: m = c + 3; g = u + 16; b = j + 11; x = d + 17; i = d + 7; f = b + 14; s = g + 9; d = 2; j = m + 9; e = x + 10; u = a + 11; c = i + 13; a = e + 7. Given that d = 2, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"s": "r + 16", "u": "s + 8", "v": "u + 11", "g": "v + 12", "e": "g + 16", "h": "e + 2", "m": "r + 10", "f": "m + 6", "n": "f + 6", "q": "n + 8", "y": "q + 16", "a": "y + 2", "r": 16}, "premises": {"r": 16}, "target": "h"}, "answer": {"steps": [["e", "g + 16", "g + 18"], ["g", "v + 12", "v + 30"], ["v", "u + 11", "u + 41"], ["u", "s + 8", "s + 49"], ["s", "r + 16", "r + 65"], ["r", 16, "81"]], "target_var_name": "h", "target_value": 81, "value_dict": {"r": 16}, "is_reverse": true}}
| 23,049
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = 16; q = n + 8; y = q + 16; f = m + 6; u = s + 8; s = r + 16; h = e + 2; n = f + 6; m = r + 10; a = y + 2; g = v + 12; v = u + 11; e = g + 16. If r = 16, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = g + 16 to h, which gives h = g + 18.\n2. Substitute g = v + 12 to h, which gives h = v + 30.\n3. Substitute v = u + 11 to h, which gives h = u + 41.\n4. Substitute u = s + 8 to h, which gives h = s + 49.\n5. Substitute s = r + 16 to h, which gives h = r + 65.\n6. Substitute r = 16 to h, which gives h = 81.\n\nThus, the final answer is h = \\boxed{81}.",
"index": 23049,
"question": "Consider a system of variables where each variable is defined as follows: r = 16; q = n + 8; y = q + 16; f = m + 6; u = s + 8; s = r + 16; h = e + 2; n = f + 6; m = r + 10; a = y + 2; g = v + 12; v = u + 11; e = g + 16. If r = 16, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"n": "b + 2", "t": "n + 15", "w": "t + 6", "m": "w + 6", "o": "m + 8", "p": "o + 9", "i": "b + 11", "q": "i + 19", "e": "q + 19", "k": "e + 2", "c": "k + 16", "x": "c + 15", "b": 5}, "premises": {"b": 5}, "target": "p"}, "answer": {"steps": [["o", "m + 8", "m + 17"], ["m", "w + 6", "w + 23"], ["w", "t + 6", "t + 29"], ["t", "n + 15", "n + 44"], ["n", "b + 2", "b + 46"], ["b", 5, "51"]], "target_var_name": "p", "target_value": 51, "value_dict": {"b": 5}, "is_reverse": true}}
| 23,050
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = n + 15; p = o + 9; m = w + 6; x = c + 15; w = t + 6; o = m + 8; e = q + 19; b = 5; k = e + 2; i = b + 11; q = i + 19; n = b + 2; c = k + 16. If b = 5, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = m + 8 to p, which gives p = m + 17.\n2. Substitute m = w + 6 to p, which gives p = w + 23.\n3. Substitute w = t + 6 to p, which gives p = t + 29.\n4. Substitute t = n + 15 to p, which gives p = n + 44.\n5. Substitute n = b + 2 to p, which gives p = b + 46.\n6. Substitute b = 5 to p, which gives p = 51.\n\nThus, the final answer is p = \\boxed{51}.",
"index": 23050,
"question": "Consider a system of variables where each variable is defined as follows: t = n + 15; p = o + 9; m = w + 6; x = c + 15; w = t + 6; o = m + 8; e = q + 19; b = 5; k = e + 2; i = b + 11; q = i + 19; n = b + 2; c = k + 16. If b = 5, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"j": "n + 4", "a": "j + 3", "g": "a + 20", "y": "g + 5", "q": "y + 19", "z": "q + 3", "w": "n + 13", "d": "w + 18", "o": "d + 4", "l": "o + 16", "k": "l + 1", "p": "k + 4", "n": 3}, "premises": {"n": 3}, "target": "z"}, "answer": {"steps": [["q", "y + 19", "y + 22"], ["y", "g + 5", "g + 27"], ["g", "a + 20", "a + 47"], ["a", "j + 3", "j + 50"], ["j", "n + 4", "n + 54"], ["n", 3, "57"]], "target_var_name": "z", "target_value": 57, "value_dict": {"n": 3}, "is_reverse": true}}
| 23,051
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = 3; z = q + 3; k = l + 1; g = a + 20; j = n + 4; y = g + 5; d = w + 18; w = n + 13; l = o + 16; q = y + 19; p = k + 4; o = d + 4; a = j + 3. Given that n = 3, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = y + 19 to z, which gives z = y + 22.\n2. Substitute y = g + 5 to z, which gives z = g + 27.\n3. Substitute g = a + 20 to z, which gives z = a + 47.\n4. Substitute a = j + 3 to z, which gives z = j + 50.\n5. Substitute j = n + 4 to z, which gives z = n + 54.\n6. Substitute n = 3 to z, which gives z = 57.\n\nThus, the final answer is z = \\boxed{57}.",
"index": 23051,
"question": "Suppose a collection of variables is related by the following definitions: n = 3; z = q + 3; k = l + 1; g = a + 20; j = n + 4; y = g + 5; d = w + 18; w = n + 13; l = o + 16; q = y + 19; p = k + 4; o = d + 4; a = j + 3. Given that n = 3, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"c": "k + 5", "f": "c + 17", "z": "f + 4", "v": "z + 15", "y": "v + 10", "u": "y + 7", "g": "k + 6", "h": "g + 6", "d": "h + 18", "r": "d + 6", "w": "r + 11", "l": "w + 12", "k": 9}, "premises": {"k": 9}, "target": "u"}, "answer": {"steps": [["y", "v + 10", "v + 17"], ["v", "z + 15", "z + 32"], ["z", "f + 4", "f + 36"], ["f", "c + 17", "c + 53"], ["c", "k + 5", "k + 58"], ["k", 9, "67"]], "target_var_name": "u", "target_value": 67, "value_dict": {"k": 9}, "is_reverse": true}}
| 23,052
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = 9; u = y + 7; h = g + 6; r = d + 6; z = f + 4; w = r + 11; d = h + 18; f = c + 17; l = w + 12; v = z + 15; c = k + 5; g = k + 6; y = v + 10. Given that k = 9, find 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 y = v + 10 to u, which gives u = v + 17.\n2. Substitute v = z + 15 to u, which gives u = z + 32.\n3. Substitute z = f + 4 to u, which gives u = f + 36.\n4. Substitute f = c + 17 to u, which gives u = c + 53.\n5. Substitute c = k + 5 to u, which gives u = k + 58.\n6. Substitute k = 9 to u, which gives u = 67.\n\nThus, the final answer is u = \\boxed{67}.",
"index": 23052,
"question": "Suppose a collection of variables is related by the following definitions: k = 9; u = y + 7; h = g + 6; r = d + 6; z = f + 4; w = r + 11; d = h + 18; f = c + 17; l = w + 12; v = z + 15; c = k + 5; g = k + 6; y = v + 10. Given that k = 9, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"p": "w + 17", "b": "p + 15", "l": "b + 8", "q": "l + 6", "i": "q + 14", "d": "i + 4", "a": "w + 4", "r": "a + 16", "z": "r + 15", "x": "z + 9", "h": "x + 7", "v": "h + 17", "w": 1}, "premises": {"w": 1}, "target": "d"}, "answer": {"steps": [["i", "q + 14", "q + 18"], ["q", "l + 6", "l + 24"], ["l", "b + 8", "b + 32"], ["b", "p + 15", "p + 47"], ["p", "w + 17", "w + 64"], ["w", 1, "65"]], "target_var_name": "d", "target_value": 65, "value_dict": {"w": 1}, "is_reverse": true}}
| 23,053
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = b + 8; r = a + 16; b = p + 15; v = h + 17; h = x + 7; i = q + 14; w = 1; a = w + 4; d = i + 4; z = r + 15; x = z + 9; q = l + 6; p = w + 17. If w = 1, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = q + 14 to d, which gives d = q + 18.\n2. Substitute q = l + 6 to d, which gives d = l + 24.\n3. Substitute l = b + 8 to d, which gives d = b + 32.\n4. Substitute b = p + 15 to d, which gives d = p + 47.\n5. Substitute p = w + 17 to d, which gives d = w + 64.\n6. Substitute w = 1 to d, which gives d = 65.\n\nThus, the final answer is d = \\boxed{65}.",
"index": 23053,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = b + 8; r = a + 16; b = p + 15; v = h + 17; h = x + 7; i = q + 14; w = 1; a = w + 4; d = i + 4; z = r + 15; x = z + 9; q = l + 6; p = w + 17. If w = 1, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"h": "l + 8", "a": "h + 16", "c": "a + 16", "b": "c + 5", "f": "b + 20", "p": "f + 16", "n": "l + 15", "i": "n + 10", "x": "i + 19", "z": "x + 16", "u": "z + 9", "j": "u + 18", "l": 8}, "premises": {"l": 8}, "target": "p"}, "answer": {"steps": [["f", "b + 20", "b + 36"], ["b", "c + 5", "c + 41"], ["c", "a + 16", "a + 57"], ["a", "h + 16", "h + 73"], ["h", "l + 8", "l + 81"], ["l", 8, "89"]], "target_var_name": "p", "target_value": 89, "value_dict": {"l": 8}, "is_reverse": true}}
| 23,054
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = i + 19; n = l + 15; l = 8; z = x + 16; h = l + 8; b = c + 5; u = z + 9; p = f + 16; f = b + 20; i = n + 10; j = u + 18; c = a + 16; a = h + 16. Given that l = 8, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = b + 20 to p, which gives p = b + 36.\n2. Substitute b = c + 5 to p, which gives p = c + 41.\n3. Substitute c = a + 16 to p, which gives p = a + 57.\n4. Substitute a = h + 16 to p, which gives p = h + 73.\n5. Substitute h = l + 8 to p, which gives p = l + 81.\n6. Substitute l = 8 to p, which gives p = 89.\n\nThus, the final answer is p = \\boxed{89}.",
"index": 23054,
"question": "Suppose a collection of variables is related by the following definitions: x = i + 19; n = l + 15; l = 8; z = x + 16; h = l + 8; b = c + 5; u = z + 9; p = f + 16; f = b + 20; i = n + 10; j = u + 18; c = a + 16; a = h + 16. Given that l = 8, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"w": "s + 6", "h": "w + 20", "y": "h + 15", "n": "y + 11", "b": "n + 14", "x": "b + 13", "l": "s + 17", "q": "l + 17", "t": "q + 12", "f": "t + 2", "u": "f + 6", "p": "u + 6", "s": 12}, "premises": {"s": 12}, "target": "x"}, "answer": {"steps": [["b", "n + 14", "n + 27"], ["n", "y + 11", "y + 38"], ["y", "h + 15", "h + 53"], ["h", "w + 20", "w + 73"], ["w", "s + 6", "s + 79"], ["s", 12, "91"]], "target_var_name": "x", "target_value": 91, "value_dict": {"s": 12}, "is_reverse": true}}
| 23,055
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = s + 17; b = n + 14; u = f + 6; f = t + 2; p = u + 6; h = w + 20; q = l + 17; y = h + 15; n = y + 11; t = q + 12; s = 12; x = b + 13; w = s + 6. If s = 12, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = n + 14 to x, which gives x = n + 27.\n2. Substitute n = y + 11 to x, which gives x = y + 38.\n3. Substitute y = h + 15 to x, which gives x = h + 53.\n4. Substitute h = w + 20 to x, which gives x = w + 73.\n5. Substitute w = s + 6 to x, which gives x = s + 79.\n6. Substitute s = 12 to x, which gives x = 91.\n\nThus, the final answer is x = \\boxed{91}.",
"index": 23055,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = s + 17; b = n + 14; u = f + 6; f = t + 2; p = u + 6; h = w + 20; q = l + 17; y = h + 15; n = y + 11; t = q + 12; s = 12; x = b + 13; w = s + 6. If s = 12, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"u": "k + 8", "m": "u + 20", "g": "m + 4", "e": "g + 15", "i": "e + 6", "y": "i + 20", "c": "k + 7", "j": "c + 8", "o": "j + 3", "r": "o + 6", "p": "r + 5", "z": "p + 13", "k": 10}, "premises": {"k": 10}, "target": "y"}, "answer": {"steps": [["i", "e + 6", "e + 26"], ["e", "g + 15", "g + 41"], ["g", "m + 4", "m + 45"], ["m", "u + 20", "u + 65"], ["u", "k + 8", "k + 73"], ["k", 10, "83"]], "target_var_name": "y", "target_value": 83, "value_dict": {"k": 10}, "is_reverse": true}}
| 23,056
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = p + 13; e = g + 15; c = k + 7; r = o + 6; u = k + 8; o = j + 3; m = u + 20; i = e + 6; p = r + 5; j = c + 8; g = m + 4; y = i + 20; k = 10. Given that k = 10, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = e + 6 to y, which gives y = e + 26.\n2. Substitute e = g + 15 to y, which gives y = g + 41.\n3. Substitute g = m + 4 to y, which gives y = m + 45.\n4. Substitute m = u + 20 to y, which gives y = u + 65.\n5. Substitute u = k + 8 to y, which gives y = k + 73.\n6. Substitute k = 10 to y, which gives y = 83.\n\nThus, the final answer is y = \\boxed{83}.",
"index": 23056,
"question": "Suppose a collection of variables is related by the following definitions: z = p + 13; e = g + 15; c = k + 7; r = o + 6; u = k + 8; o = j + 3; m = u + 20; i = e + 6; p = r + 5; j = c + 8; g = m + 4; y = i + 20; k = 10. Given that k = 10, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"j": "k + 8", "s": "j + 10", "b": "s + 2", "v": "b + 12", "m": "v + 1", "z": "m + 13", "f": "k + 3", "o": "f + 15", "r": "o + 20", "y": "r + 1", "l": "y + 8", "d": "l + 20", "k": 11}, "premises": {"k": 11}, "target": "z"}, "answer": {"steps": [["m", "v + 1", "v + 14"], ["v", "b + 12", "b + 26"], ["b", "s + 2", "s + 28"], ["s", "j + 10", "j + 38"], ["j", "k + 8", "k + 46"], ["k", 11, "57"]], "target_var_name": "z", "target_value": 57, "value_dict": {"k": 11}, "is_reverse": true}}
| 23,057
| 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 = s + 2; l = y + 8; r = o + 20; o = f + 15; y = r + 1; f = k + 3; m = v + 1; v = b + 12; j = k + 8; s = j + 10; z = m + 13; k = 11; d = l + 20. If k = 11, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = v + 1 to z, which gives z = v + 14.\n2. Substitute v = b + 12 to z, which gives z = b + 26.\n3. Substitute b = s + 2 to z, which gives z = s + 28.\n4. Substitute s = j + 10 to z, which gives z = j + 38.\n5. Substitute j = k + 8 to z, which gives z = k + 46.\n6. Substitute k = 11 to z, which gives z = 57.\n\nThus, the final answer is z = \\boxed{57}.",
"index": 23057,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = s + 2; l = y + 8; r = o + 20; o = f + 15; y = r + 1; f = k + 3; m = v + 1; v = b + 12; j = k + 8; s = j + 10; z = m + 13; k = 11; d = l + 20. If k = 11, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"l": "f + 18", "z": "l + 5", "c": "z + 10", "p": "c + 13", "d": "p + 2", "r": "d + 8", "j": "f + 9", "a": "j + 9", "x": "a + 8", "u": "x + 4", "e": "u + 10", "h": "e + 14", "f": 17}, "premises": {"f": 17}, "target": "r"}, "answer": {"steps": [["d", "p + 2", "p + 10"], ["p", "c + 13", "c + 23"], ["c", "z + 10", "z + 33"], ["z", "l + 5", "l + 38"], ["l", "f + 18", "f + 56"], ["f", 17, "73"]], "target_var_name": "r", "target_value": 73, "value_dict": {"f": 17}, "is_reverse": true}}
| 23,058
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = z + 10; j = f + 9; u = x + 4; z = l + 5; h = e + 14; d = p + 2; f = 17; e = u + 10; p = c + 13; r = d + 8; x = a + 8; l = f + 18; a = j + 9. Given that f = 17, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = p + 2 to r, which gives r = p + 10.\n2. Substitute p = c + 13 to r, which gives r = c + 23.\n3. Substitute c = z + 10 to r, which gives r = z + 33.\n4. Substitute z = l + 5 to r, which gives r = l + 38.\n5. Substitute l = f + 18 to r, which gives r = f + 56.\n6. Substitute f = 17 to r, which gives r = 73.\n\nThus, the final answer is r = \\boxed{73}.",
"index": 23058,
"question": "Suppose a collection of variables is related by the following definitions: c = z + 10; j = f + 9; u = x + 4; z = l + 5; h = e + 14; d = p + 2; f = 17; e = u + 10; p = c + 13; r = d + 8; x = a + 8; l = f + 18; a = j + 9. Given that f = 17, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"o": "c + 7", "y": "o + 19", "d": "y + 19", "l": "d + 12", "b": "l + 8", "n": "b + 16", "x": "c + 12", "u": "x + 12", "i": "u + 17", "m": "i + 10", "a": "m + 18", "h": "a + 1", "c": 16}, "premises": {"c": 16}, "target": "n"}, "answer": {"steps": [["b", "l + 8", "l + 24"], ["l", "d + 12", "d + 36"], ["d", "y + 19", "y + 55"], ["y", "o + 19", "o + 74"], ["o", "c + 7", "c + 81"], ["c", 16, "97"]], "target_var_name": "n", "target_value": 97, "value_dict": {"c": 16}, "is_reverse": true}}
| 23,059
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = c + 7; h = a + 1; d = y + 19; y = o + 19; m = i + 10; u = x + 12; l = d + 12; n = b + 16; b = l + 8; c = 16; i = u + 17; a = m + 18; x = c + 12. If c = 16, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 97,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = l + 8 to n, which gives n = l + 24.\n2. Substitute l = d + 12 to n, which gives n = d + 36.\n3. Substitute d = y + 19 to n, which gives n = y + 55.\n4. Substitute y = o + 19 to n, which gives n = o + 74.\n5. Substitute o = c + 7 to n, which gives n = c + 81.\n6. Substitute c = 16 to n, which gives n = 97.\n\nThus, the final answer is n = \\boxed{97}.",
"index": 23059,
"question": "Consider a system of variables where each variable is defined as follows: o = c + 7; h = a + 1; d = y + 19; y = o + 19; m = i + 10; u = x + 12; l = d + 12; n = b + 16; b = l + 8; c = 16; i = u + 17; a = m + 18; x = c + 12. If c = 16, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"o": "a + 2", "j": "o + 15", "c": "j + 6", "r": "c + 15", "f": "r + 15", "b": "f + 14", "u": "a + 12", "v": "u + 20", "d": "v + 17", "g": "d + 5", "y": "g + 4", "n": "y + 11", "a": 20}, "premises": {"a": 20}, "target": "b"}, "answer": {"steps": [["f", "r + 15", "r + 29"], ["r", "c + 15", "c + 44"], ["c", "j + 6", "j + 50"], ["j", "o + 15", "o + 65"], ["o", "a + 2", "a + 67"], ["a", 20, "87"]], "target_var_name": "b", "target_value": 87, "value_dict": {"a": 20}, "is_reverse": true}}
| 23,060
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = a + 2; g = d + 5; r = c + 15; u = a + 12; v = u + 20; d = v + 17; b = f + 14; j = o + 15; f = r + 15; a = 20; y = g + 4; n = y + 11; c = j + 6. Given that a = 20, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = r + 15 to b, which gives b = r + 29.\n2. Substitute r = c + 15 to b, which gives b = c + 44.\n3. Substitute c = j + 6 to b, which gives b = j + 50.\n4. Substitute j = o + 15 to b, which gives b = o + 65.\n5. Substitute o = a + 2 to b, which gives b = a + 67.\n6. Substitute a = 20 to b, which gives b = 87.\n\nThus, the final answer is b = \\boxed{87}.",
"index": 23060,
"question": "Suppose a collection of variables is related by the following definitions: o = a + 2; g = d + 5; r = c + 15; u = a + 12; v = u + 20; d = v + 17; b = f + 14; j = o + 15; f = r + 15; a = 20; y = g + 4; n = y + 11; c = j + 6. Given that a = 20, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"w": "z + 15", "r": "w + 19", "m": "r + 16", "i": "m + 19", "y": "i + 16", "p": "y + 3", "t": "z + 18", "d": "t + 10", "o": "d + 4", "k": "o + 6", "f": "k + 13", "j": "f + 10", "z": 8}, "premises": {"z": 8}, "target": "p"}, "answer": {"steps": [["y", "i + 16", "i + 19"], ["i", "m + 19", "m + 38"], ["m", "r + 16", "r + 54"], ["r", "w + 19", "w + 73"], ["w", "z + 15", "z + 88"], ["z", 8, "96"]], "target_var_name": "p", "target_value": 96, "value_dict": {"z": 8}, "is_reverse": true}}
| 23,061
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = z + 15; y = i + 16; t = z + 18; d = t + 10; f = k + 13; r = w + 19; k = o + 6; i = m + 19; p = y + 3; o = d + 4; m = r + 16; z = 8; j = f + 10. If z = 8, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 96,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = i + 16 to p, which gives p = i + 19.\n2. Substitute i = m + 19 to p, which gives p = m + 38.\n3. Substitute m = r + 16 to p, which gives p = r + 54.\n4. Substitute r = w + 19 to p, which gives p = w + 73.\n5. Substitute w = z + 15 to p, which gives p = z + 88.\n6. Substitute z = 8 to p, which gives p = 96.\n\nThus, the final answer is p = \\boxed{96}.",
"index": 23061,
"question": "Consider a system of variables where each variable is defined as follows: w = z + 15; y = i + 16; t = z + 18; d = t + 10; f = k + 13; r = w + 19; k = o + 6; i = m + 19; p = y + 3; o = d + 4; m = r + 16; z = 8; j = f + 10. If z = 8, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"x": "u + 18", "d": "x + 8", "m": "d + 8", "r": "m + 20", "s": "r + 12", "i": "s + 18", "b": "u + 12", "g": "b + 6", "n": "g + 2", "a": "n + 6", "w": "a + 7", "t": "w + 1", "u": 13}, "premises": {"u": 13}, "target": "i"}, "answer": {"steps": [["s", "r + 12", "r + 30"], ["r", "m + 20", "m + 50"], ["m", "d + 8", "d + 58"], ["d", "x + 8", "x + 66"], ["x", "u + 18", "u + 84"], ["u", 13, "97"]], "target_var_name": "i", "target_value": 97, "value_dict": {"u": 13}, "is_reverse": true}}
| 23,062
| 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 = u + 12; w = a + 7; n = g + 2; r = m + 20; t = w + 1; u = 13; d = x + 8; m = d + 8; a = n + 6; x = u + 18; i = s + 18; s = r + 12; g = b + 6. If u = 13, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 97,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = r + 12 to i, which gives i = r + 30.\n2. Substitute r = m + 20 to i, which gives i = m + 50.\n3. Substitute m = d + 8 to i, which gives i = d + 58.\n4. Substitute d = x + 8 to i, which gives i = x + 66.\n5. Substitute x = u + 18 to i, which gives i = u + 84.\n6. Substitute u = 13 to i, which gives i = 97.\n\nThus, the final answer is i = \\boxed{97}.",
"index": 23062,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = u + 12; w = a + 7; n = g + 2; r = m + 20; t = w + 1; u = 13; d = x + 8; m = d + 8; a = n + 6; x = u + 18; i = s + 18; s = r + 12; g = b + 6. If u = 13, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"o": "j + 15", "h": "o + 2", "y": "h + 14", "q": "y + 15", "a": "q + 19", "m": "a + 16", "u": "j + 14", "d": "u + 15", "z": "d + 19", "r": "z + 10", "n": "r + 20", "g": "n + 16", "j": 13}, "premises": {"j": 13}, "target": "m"}, "answer": {"steps": [["a", "q + 19", "q + 35"], ["q", "y + 15", "y + 50"], ["y", "h + 14", "h + 64"], ["h", "o + 2", "o + 66"], ["o", "j + 15", "j + 81"], ["j", 13, "94"]], "target_var_name": "m", "target_value": 94, "value_dict": {"j": 13}, "is_reverse": true}}
| 23,063
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = 13; r = z + 10; o = j + 15; d = u + 15; u = j + 14; g = n + 16; h = o + 2; m = a + 16; z = d + 19; y = h + 14; q = y + 15; a = q + 19; n = r + 20. If j = 13, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = q + 19 to m, which gives m = q + 35.\n2. Substitute q = y + 15 to m, which gives m = y + 50.\n3. Substitute y = h + 14 to m, which gives m = h + 64.\n4. Substitute h = o + 2 to m, which gives m = o + 66.\n5. Substitute o = j + 15 to m, which gives m = j + 81.\n6. Substitute j = 13 to m, which gives m = 94.\n\nThus, the final answer is m = \\boxed{94}.",
"index": 23063,
"question": "Consider a system of variables where each variable is defined as follows: j = 13; r = z + 10; o = j + 15; d = u + 15; u = j + 14; g = n + 16; h = o + 2; m = a + 16; z = d + 19; y = h + 14; q = y + 15; a = q + 19; n = r + 20. If j = 13, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"l": "k + 11", "q": "l + 8", "x": "q + 11", "a": "x + 4", "u": "a + 4", "c": "u + 9", "g": "k + 16", "p": "g + 18", "z": "p + 20", "n": "z + 16", "s": "n + 14", "i": "s + 2", "k": 17}, "premises": {"k": 17}, "target": "c"}, "answer": {"steps": [["u", "a + 4", "a + 13"], ["a", "x + 4", "x + 17"], ["x", "q + 11", "q + 28"], ["q", "l + 8", "l + 36"], ["l", "k + 11", "k + 47"], ["k", 17, "64"]], "target_var_name": "c", "target_value": 64, "value_dict": {"k": 17}, "is_reverse": true}}
| 23,064
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = 17; c = u + 9; u = a + 4; i = s + 2; n = z + 16; g = k + 16; s = n + 14; a = x + 4; z = p + 20; q = l + 8; x = q + 11; p = g + 18; l = k + 11. If k = 17, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = a + 4 to c, which gives c = a + 13.\n2. Substitute a = x + 4 to c, which gives c = x + 17.\n3. Substitute x = q + 11 to c, which gives c = q + 28.\n4. Substitute q = l + 8 to c, which gives c = l + 36.\n5. Substitute l = k + 11 to c, which gives c = k + 47.\n6. Substitute k = 17 to c, which gives c = 64.\n\nThus, the final answer is c = \\boxed{64}.",
"index": 23064,
"question": "Consider a system of variables where each variable is defined as follows: k = 17; c = u + 9; u = a + 4; i = s + 2; n = z + 16; g = k + 16; s = n + 14; a = x + 4; z = p + 20; q = l + 8; x = q + 11; p = g + 18; l = k + 11. If k = 17, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"p": "h + 20", "b": "p + 6", "m": "b + 19", "a": "m + 10", "w": "a + 3", "n": "w + 9", "z": "h + 17", "f": "z + 9", "v": "f + 9", "r": "v + 10", "y": "r + 19", "q": "y + 13", "h": 3}, "premises": {"h": 3}, "target": "n"}, "answer": {"steps": [["w", "a + 3", "a + 12"], ["a", "m + 10", "m + 22"], ["m", "b + 19", "b + 41"], ["b", "p + 6", "p + 47"], ["p", "h + 20", "h + 67"], ["h", 3, "70"]], "target_var_name": "n", "target_value": 70, "value_dict": {"h": 3}, "is_reverse": true}}
| 23,065
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = b + 19; b = p + 6; v = f + 9; n = w + 9; z = h + 17; w = a + 3; q = y + 13; y = r + 19; r = v + 10; a = m + 10; f = z + 9; p = h + 20; h = 3. Given that h = 3, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = a + 3 to n, which gives n = a + 12.\n2. Substitute a = m + 10 to n, which gives n = m + 22.\n3. Substitute m = b + 19 to n, which gives n = b + 41.\n4. Substitute b = p + 6 to n, which gives n = p + 47.\n5. Substitute p = h + 20 to n, which gives n = h + 67.\n6. Substitute h = 3 to n, which gives n = 70.\n\nThus, the final answer is n = \\boxed{70}.",
"index": 23065,
"question": "Suppose a collection of variables is related by the following definitions: m = b + 19; b = p + 6; v = f + 9; n = w + 9; z = h + 17; w = a + 3; q = y + 13; y = r + 19; r = v + 10; a = m + 10; f = z + 9; p = h + 20; h = 3. Given that h = 3, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"f": "b + 2", "h": "f + 14", "q": "h + 18", "n": "q + 16", "z": "n + 7", "r": "z + 15", "g": "b + 11", "t": "g + 12", "d": "t + 12", "i": "d + 18", "w": "i + 7", "a": "w + 4", "b": 13}, "premises": {"b": 13}, "target": "r"}, "answer": {"steps": [["z", "n + 7", "n + 22"], ["n", "q + 16", "q + 38"], ["q", "h + 18", "h + 56"], ["h", "f + 14", "f + 70"], ["f", "b + 2", "b + 72"], ["b", 13, "85"]], "target_var_name": "r", "target_value": 85, "value_dict": {"b": 13}, "is_reverse": true}}
| 23,066
| 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 = i + 7; f = b + 2; r = z + 15; z = n + 7; g = b + 11; a = w + 4; n = q + 16; h = f + 14; t = g + 12; q = h + 18; d = t + 12; b = 13; i = d + 18. If b = 13, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = n + 7 to r, which gives r = n + 22.\n2. Substitute n = q + 16 to r, which gives r = q + 38.\n3. Substitute q = h + 18 to r, which gives r = h + 56.\n4. Substitute h = f + 14 to r, which gives r = f + 70.\n5. Substitute f = b + 2 to r, which gives r = b + 72.\n6. Substitute b = 13 to r, which gives r = 85.\n\nThus, the final answer is r = \\boxed{85}.",
"index": 23066,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = i + 7; f = b + 2; r = z + 15; z = n + 7; g = b + 11; a = w + 4; n = q + 16; h = f + 14; t = g + 12; q = h + 18; d = t + 12; b = 13; i = d + 18. If b = 13, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"y": "a + 4", "i": "y + 1", "v": "i + 5", "f": "v + 8", "b": "f + 17", "o": "b + 18", "p": "a + 18", "k": "p + 20", "g": "k + 2", "q": "g + 16", "w": "q + 17", "z": "w + 14", "a": 1}, "premises": {"a": 1}, "target": "o"}, "answer": {"steps": [["b", "f + 17", "f + 35"], ["f", "v + 8", "v + 43"], ["v", "i + 5", "i + 48"], ["i", "y + 1", "y + 49"], ["y", "a + 4", "a + 53"], ["a", 1, "54"]], "target_var_name": "o", "target_value": 54, "value_dict": {"a": 1}, "is_reverse": true}}
| 23,067
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = f + 17; f = v + 8; i = y + 1; v = i + 5; z = w + 14; q = g + 16; o = b + 18; k = p + 20; g = k + 2; y = a + 4; p = a + 18; w = q + 17; a = 1. If a = 1, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = f + 17 to o, which gives o = f + 35.\n2. Substitute f = v + 8 to o, which gives o = v + 43.\n3. Substitute v = i + 5 to o, which gives o = i + 48.\n4. Substitute i = y + 1 to o, which gives o = y + 49.\n5. Substitute y = a + 4 to o, which gives o = a + 53.\n6. Substitute a = 1 to o, which gives o = 54.\n\nThus, the final answer is o = \\boxed{54}.",
"index": 23067,
"question": "Consider a system of variables where each variable is defined as follows: b = f + 17; f = v + 8; i = y + 1; v = i + 5; z = w + 14; q = g + 16; o = b + 18; k = p + 20; g = k + 2; y = a + 4; p = a + 18; w = q + 17; a = 1. If a = 1, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"n": "m + 5", "y": "n + 18", "c": "y + 14", "w": "c + 17", "p": "w + 15", "g": "p + 18", "z": "m + 18", "r": "z + 19", "j": "r + 17", "l": "j + 9", "f": "l + 18", "b": "f + 14", "m": 14}, "premises": {"m": 14}, "target": "g"}, "answer": {"steps": [["p", "w + 15", "w + 33"], ["w", "c + 17", "c + 50"], ["c", "y + 14", "y + 64"], ["y", "n + 18", "n + 82"], ["n", "m + 5", "m + 87"], ["m", 14, "101"]], "target_var_name": "g", "target_value": 101, "value_dict": {"m": 14}, "is_reverse": true}}
| 23,068
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = p + 18; j = r + 17; z = m + 18; y = n + 18; p = w + 15; c = y + 14; f = l + 18; m = 14; b = f + 14; l = j + 9; w = c + 17; n = m + 5; r = z + 19. If m = 14, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 101,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = w + 15 to g, which gives g = w + 33.\n2. Substitute w = c + 17 to g, which gives g = c + 50.\n3. Substitute c = y + 14 to g, which gives g = y + 64.\n4. Substitute y = n + 18 to g, which gives g = n + 82.\n5. Substitute n = m + 5 to g, which gives g = m + 87.\n6. Substitute m = 14 to g, which gives g = 101.\n\nThus, the final answer is g = \\boxed{101}.",
"index": 23068,
"question": "Consider a system of variables where each variable is defined as follows: g = p + 18; j = r + 17; z = m + 18; y = n + 18; p = w + 15; c = y + 14; f = l + 18; m = 14; b = f + 14; l = j + 9; w = c + 17; n = m + 5; r = z + 19. If m = 14, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"o": "w + 12", "e": "o + 1", "j": "e + 5", "i": "j + 10", "n": "i + 18", "s": "n + 5", "k": "w + 11", "r": "k + 13", "u": "r + 6", "y": "u + 15", "m": "y + 16", "p": "m + 11", "w": 20}, "premises": {"w": 20}, "target": "s"}, "answer": {"steps": [["n", "i + 18", "i + 23"], ["i", "j + 10", "j + 33"], ["j", "e + 5", "e + 38"], ["e", "o + 1", "o + 39"], ["o", "w + 12", "w + 51"], ["w", 20, "71"]], "target_var_name": "s", "target_value": 71, "value_dict": {"w": 20}, "is_reverse": true}}
| 23,069
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = y + 16; y = u + 15; u = r + 6; k = w + 11; n = i + 18; j = e + 5; i = j + 10; r = k + 13; w = 20; p = m + 11; e = o + 1; s = n + 5; o = w + 12. If w = 20, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = i + 18 to s, which gives s = i + 23.\n2. Substitute i = j + 10 to s, which gives s = j + 33.\n3. Substitute j = e + 5 to s, which gives s = e + 38.\n4. Substitute e = o + 1 to s, which gives s = o + 39.\n5. Substitute o = w + 12 to s, which gives s = w + 51.\n6. Substitute w = 20 to s, which gives s = 71.\n\nThus, the final answer is s = \\boxed{71}.",
"index": 23069,
"question": "Consider a system of variables where each variable is defined as follows: m = y + 16; y = u + 15; u = r + 6; k = w + 11; n = i + 18; j = e + 5; i = j + 10; r = k + 13; w = 20; p = m + 11; e = o + 1; s = n + 5; o = w + 12. If w = 20, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"m": "l + 2", "s": "m + 12", "e": "s + 10", "n": "e + 17", "q": "n + 17", "r": "q + 10", "y": "l + 13", "g": "y + 1", "k": "g + 11", "b": "k + 11", "o": "b + 1", "i": "o + 1", "l": 8}, "premises": {"l": 8}, "target": "r"}, "answer": {"steps": [["q", "n + 17", "n + 27"], ["n", "e + 17", "e + 44"], ["e", "s + 10", "s + 54"], ["s", "m + 12", "m + 66"], ["m", "l + 2", "l + 68"], ["l", 8, "76"]], "target_var_name": "r", "target_value": 76, "value_dict": {"l": 8}, "is_reverse": true}}
| 23,070
| 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 + 17; m = l + 2; r = q + 10; y = l + 13; o = b + 1; n = e + 17; e = s + 10; b = k + 11; g = y + 1; l = 8; i = o + 1; s = m + 12; k = g + 11. If l = 8, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = n + 17 to r, which gives r = n + 27.\n2. Substitute n = e + 17 to r, which gives r = e + 44.\n3. Substitute e = s + 10 to r, which gives r = s + 54.\n4. Substitute s = m + 12 to r, which gives r = m + 66.\n5. Substitute m = l + 2 to r, which gives r = l + 68.\n6. Substitute l = 8 to r, which gives r = 76.\n\nThus, the final answer is r = \\boxed{76}.",
"index": 23070,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = n + 17; m = l + 2; r = q + 10; y = l + 13; o = b + 1; n = e + 17; e = s + 10; b = k + 11; g = y + 1; l = 8; i = o + 1; s = m + 12; k = g + 11. If l = 8, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"n": "c + 12", "s": "n + 9", "a": "s + 16", "x": "a + 12", "g": "x + 12", "m": "g + 19", "v": "c + 7", "u": "v + 11", "i": "u + 9", "p": "i + 7", "d": "p + 12", "j": "d + 15", "c": 16}, "premises": {"c": 16}, "target": "m"}, "answer": {"steps": [["g", "x + 12", "x + 31"], ["x", "a + 12", "a + 43"], ["a", "s + 16", "s + 59"], ["s", "n + 9", "n + 68"], ["n", "c + 12", "c + 80"], ["c", 16, "96"]], "target_var_name": "m", "target_value": 96, "value_dict": {"c": 16}, "is_reverse": true}}
| 23,071
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = x + 12; d = p + 12; p = i + 7; m = g + 19; n = c + 12; i = u + 9; s = n + 9; v = c + 7; u = v + 11; j = d + 15; x = a + 12; a = s + 16; c = 16. If c = 16, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 96,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = x + 12 to m, which gives m = x + 31.\n2. Substitute x = a + 12 to m, which gives m = a + 43.\n3. Substitute a = s + 16 to m, which gives m = s + 59.\n4. Substitute s = n + 9 to m, which gives m = n + 68.\n5. Substitute n = c + 12 to m, which gives m = c + 80.\n6. Substitute c = 16 to m, which gives m = 96.\n\nThus, the final answer is m = \\boxed{96}.",
"index": 23071,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = x + 12; d = p + 12; p = i + 7; m = g + 19; n = c + 12; i = u + 9; s = n + 9; v = c + 7; u = v + 11; j = d + 15; x = a + 12; a = s + 16; c = 16. If c = 16, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"l": "j + 2", "m": "l + 17", "u": "m + 3", "c": "u + 20", "w": "c + 7", "f": "w + 16", "y": "j + 6", "v": "y + 1", "a": "v + 19", "d": "a + 5", "r": "d + 20", "z": "r + 5", "j": 3}, "premises": {"j": 3}, "target": "f"}, "answer": {"steps": [["w", "c + 7", "c + 23"], ["c", "u + 20", "u + 43"], ["u", "m + 3", "m + 46"], ["m", "l + 17", "l + 63"], ["l", "j + 2", "j + 65"], ["j", 3, "68"]], "target_var_name": "f", "target_value": 68, "value_dict": {"j": 3}, "is_reverse": true}}
| 23,072
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = j + 6; m = l + 17; v = y + 1; z = r + 5; w = c + 7; d = a + 5; f = w + 16; u = m + 3; c = u + 20; a = v + 19; j = 3; l = j + 2; r = d + 20. Given that j = 3, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = c + 7 to f, which gives f = c + 23.\n2. Substitute c = u + 20 to f, which gives f = u + 43.\n3. Substitute u = m + 3 to f, which gives f = m + 46.\n4. Substitute m = l + 17 to f, which gives f = l + 63.\n5. Substitute l = j + 2 to f, which gives f = j + 65.\n6. Substitute j = 3 to f, which gives f = 68.\n\nThus, the final answer is f = \\boxed{68}.",
"index": 23072,
"question": "Suppose a collection of variables is related by the following definitions: y = j + 6; m = l + 17; v = y + 1; z = r + 5; w = c + 7; d = a + 5; f = w + 16; u = m + 3; c = u + 20; a = v + 19; j = 3; l = j + 2; r = d + 20. Given that j = 3, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"z": "o + 2", "d": "z + 2", "w": "d + 6", "m": "w + 17", "b": "m + 20", "e": "b + 9", "p": "o + 18", "s": "p + 4", "k": "s + 9", "j": "k + 10", "f": "j + 2", "i": "f + 15", "o": 11}, "premises": {"o": 11}, "target": "e"}, "answer": {"steps": [["b", "m + 20", "m + 29"], ["m", "w + 17", "w + 46"], ["w", "d + 6", "d + 52"], ["d", "z + 2", "z + 54"], ["z", "o + 2", "o + 56"], ["o", 11, "67"]], "target_var_name": "e", "target_value": 67, "value_dict": {"o": 11}, "is_reverse": true}}
| 23,073
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = z + 2; s = p + 4; e = b + 9; w = d + 6; o = 11; p = o + 18; m = w + 17; j = k + 10; f = j + 2; k = s + 9; b = m + 20; z = o + 2; i = f + 15. If o = 11, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = m + 20 to e, which gives e = m + 29.\n2. Substitute m = w + 17 to e, which gives e = w + 46.\n3. Substitute w = d + 6 to e, which gives e = d + 52.\n4. Substitute d = z + 2 to e, which gives e = z + 54.\n5. Substitute z = o + 2 to e, which gives e = o + 56.\n6. Substitute o = 11 to e, which gives e = 67.\n\nThus, the final answer is e = \\boxed{67}.",
"index": 23073,
"question": "Consider a system of variables where each variable is defined as follows: d = z + 2; s = p + 4; e = b + 9; w = d + 6; o = 11; p = o + 18; m = w + 17; j = k + 10; f = j + 2; k = s + 9; b = m + 20; z = o + 2; i = f + 15. If o = 11, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"m": "d + 1", "j": "m + 14", "w": "j + 15", "u": "w + 14", "y": "u + 13", "s": "y + 9", "p": "d + 11", "k": "p + 1", "n": "k + 5", "o": "n + 11", "v": "o + 14", "r": "v + 11", "d": 3}, "premises": {"d": 3}, "target": "s"}, "answer": {"steps": [["y", "u + 13", "u + 22"], ["u", "w + 14", "w + 36"], ["w", "j + 15", "j + 51"], ["j", "m + 14", "m + 65"], ["m", "d + 1", "d + 66"], ["d", 3, "69"]], "target_var_name": "s", "target_value": 69, "value_dict": {"d": 3}, "is_reverse": true}}
| 23,074
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = v + 11; u = w + 14; k = p + 1; j = m + 14; w = j + 15; s = y + 9; v = o + 14; y = u + 13; o = n + 11; n = k + 5; d = 3; m = d + 1; p = d + 11. Given that d = 3, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = u + 13 to s, which gives s = u + 22.\n2. Substitute u = w + 14 to s, which gives s = w + 36.\n3. Substitute w = j + 15 to s, which gives s = j + 51.\n4. Substitute j = m + 14 to s, which gives s = m + 65.\n5. Substitute m = d + 1 to s, which gives s = d + 66.\n6. Substitute d = 3 to s, which gives s = 69.\n\nThus, the final answer is s = \\boxed{69}.",
"index": 23074,
"question": "Suppose a collection of variables is related by the following definitions: r = v + 11; u = w + 14; k = p + 1; j = m + 14; w = j + 15; s = y + 9; v = o + 14; y = u + 13; o = n + 11; n = k + 5; d = 3; m = d + 1; p = d + 11. Given that d = 3, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"b": "m + 13", "l": "b + 14", "k": "l + 20", "h": "k + 18", "w": "h + 9", "z": "w + 15", "i": "m + 10", "e": "i + 11", "t": "e + 2", "v": "t + 7", "j": "v + 11", "s": "j + 3", "m": 2}, "premises": {"m": 2}, "target": "z"}, "answer": {"steps": [["w", "h + 9", "h + 24"], ["h", "k + 18", "k + 42"], ["k", "l + 20", "l + 62"], ["l", "b + 14", "b + 76"], ["b", "m + 13", "m + 89"], ["m", 2, "91"]], "target_var_name": "z", "target_value": 91, "value_dict": {"m": 2}, "is_reverse": true}}
| 23,075
| 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 = e + 2; e = i + 11; v = t + 7; s = j + 3; k = l + 20; z = w + 15; b = m + 13; i = m + 10; j = v + 11; l = b + 14; h = k + 18; w = h + 9; m = 2. If m = 2, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = h + 9 to z, which gives z = h + 24.\n2. Substitute h = k + 18 to z, which gives z = k + 42.\n3. Substitute k = l + 20 to z, which gives z = l + 62.\n4. Substitute l = b + 14 to z, which gives z = b + 76.\n5. Substitute b = m + 13 to z, which gives z = m + 89.\n6. Substitute m = 2 to z, which gives z = 91.\n\nThus, the final answer is z = \\boxed{91}.",
"index": 23075,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = e + 2; e = i + 11; v = t + 7; s = j + 3; k = l + 20; z = w + 15; b = m + 13; i = m + 10; j = v + 11; l = b + 14; h = k + 18; w = h + 9; m = 2. If m = 2, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"u": "w + 2", "g": "u + 1", "v": "g + 8", "z": "v + 2", "o": "z + 2", "m": "o + 20", "y": "w + 8", "n": "y + 14", "t": "n + 13", "i": "t + 9", "p": "i + 14", "h": "p + 5", "w": 15}, "premises": {"w": 15}, "target": "m"}, "answer": {"steps": [["o", "z + 2", "z + 22"], ["z", "v + 2", "v + 24"], ["v", "g + 8", "g + 32"], ["g", "u + 1", "u + 33"], ["u", "w + 2", "w + 35"], ["w", 15, "50"]], "target_var_name": "m", "target_value": 50, "value_dict": {"w": 15}, "is_reverse": true}}
| 23,076
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = 15; u = w + 2; h = p + 5; m = o + 20; g = u + 1; p = i + 14; t = n + 13; v = g + 8; i = t + 9; n = y + 14; z = v + 2; y = w + 8; o = z + 2. If w = 15, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 50,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = z + 2 to m, which gives m = z + 22.\n2. Substitute z = v + 2 to m, which gives m = v + 24.\n3. Substitute v = g + 8 to m, which gives m = g + 32.\n4. Substitute g = u + 1 to m, which gives m = u + 33.\n5. Substitute u = w + 2 to m, which gives m = w + 35.\n6. Substitute w = 15 to m, which gives m = 50.\n\nThus, the final answer is m = \\boxed{50}.",
"index": 23076,
"question": "Consider a system of variables where each variable is defined as follows: w = 15; u = w + 2; h = p + 5; m = o + 20; g = u + 1; p = i + 14; t = n + 13; v = g + 8; i = t + 9; n = y + 14; z = v + 2; y = w + 8; o = z + 2. If w = 15, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"z": "r + 20", "p": "z + 7", "n": "p + 7", "e": "n + 8", "v": "e + 19", "j": "v + 3", "w": "r + 20", "f": "w + 18", "g": "f + 6", "t": "g + 14", "d": "t + 8", "q": "d + 9", "r": 18}, "premises": {"r": 18}, "target": "j"}, "answer": {"steps": [["v", "e + 19", "e + 22"], ["e", "n + 8", "n + 30"], ["n", "p + 7", "p + 37"], ["p", "z + 7", "z + 44"], ["z", "r + 20", "r + 64"], ["r", 18, "82"]], "target_var_name": "j", "target_value": 82, "value_dict": {"r": 18}, "is_reverse": true}}
| 23,077
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = r + 20; g = f + 6; w = r + 20; v = e + 19; t = g + 14; e = n + 8; q = d + 9; p = z + 7; r = 18; j = v + 3; f = w + 18; n = p + 7; d = t + 8. Given that r = 18, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = e + 19 to j, which gives j = e + 22.\n2. Substitute e = n + 8 to j, which gives j = n + 30.\n3. Substitute n = p + 7 to j, which gives j = p + 37.\n4. Substitute p = z + 7 to j, which gives j = z + 44.\n5. Substitute z = r + 20 to j, which gives j = r + 64.\n6. Substitute r = 18 to j, which gives j = 82.\n\nThus, the final answer is j = \\boxed{82}.",
"index": 23077,
"question": "Suppose a collection of variables is related by the following definitions: z = r + 20; g = f + 6; w = r + 20; v = e + 19; t = g + 14; e = n + 8; q = d + 9; p = z + 7; r = 18; j = v + 3; f = w + 18; n = p + 7; d = t + 8. Given that r = 18, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"k": "a + 10", "g": "k + 2", "p": "g + 16", "h": "p + 19", "i": "h + 12", "w": "i + 1", "u": "a + 18", "j": "u + 17", "y": "j + 4", "l": "y + 6", "c": "l + 9", "t": "c + 12", "a": 4}, "premises": {"a": 4}, "target": "w"}, "answer": {"steps": [["i", "h + 12", "h + 13"], ["h", "p + 19", "p + 32"], ["p", "g + 16", "g + 48"], ["g", "k + 2", "k + 50"], ["k", "a + 10", "a + 60"], ["a", 4, "64"]], "target_var_name": "w", "target_value": 64, "value_dict": {"a": 4}, "is_reverse": true}}
| 23,078
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = a + 10; h = p + 19; j = u + 17; w = i + 1; a = 4; i = h + 12; y = j + 4; p = g + 16; c = l + 9; t = c + 12; u = a + 18; l = y + 6; g = k + 2. If a = 4, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = h + 12 to w, which gives w = h + 13.\n2. Substitute h = p + 19 to w, which gives w = p + 32.\n3. Substitute p = g + 16 to w, which gives w = g + 48.\n4. Substitute g = k + 2 to w, which gives w = k + 50.\n5. Substitute k = a + 10 to w, which gives w = a + 60.\n6. Substitute a = 4 to w, which gives w = 64.\n\nThus, the final answer is w = \\boxed{64}.",
"index": 23078,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = a + 10; h = p + 19; j = u + 17; w = i + 1; a = 4; i = h + 12; y = j + 4; p = g + 16; c = l + 9; t = c + 12; u = a + 18; l = y + 6; g = k + 2. If a = 4, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"f": "g + 20", "p": "f + 2", "c": "p + 18", "y": "c + 11", "d": "y + 13", "q": "d + 4", "r": "g + 9", "i": "r + 19", "v": "i + 12", "e": "v + 5", "m": "e + 15", "u": "m + 13", "g": 19}, "premises": {"g": 19}, "target": "q"}, "answer": {"steps": [["d", "y + 13", "y + 17"], ["y", "c + 11", "c + 28"], ["c", "p + 18", "p + 46"], ["p", "f + 2", "f + 48"], ["f", "g + 20", "g + 68"], ["g", 19, "87"]], "target_var_name": "q", "target_value": 87, "value_dict": {"g": 19}, "is_reverse": true}}
| 23,079
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = e + 15; f = g + 20; e = v + 5; d = y + 13; g = 19; q = d + 4; c = p + 18; v = i + 12; i = r + 19; y = c + 11; p = f + 2; u = m + 13; r = g + 9. If g = 19, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = y + 13 to q, which gives q = y + 17.\n2. Substitute y = c + 11 to q, which gives q = c + 28.\n3. Substitute c = p + 18 to q, which gives q = p + 46.\n4. Substitute p = f + 2 to q, which gives q = f + 48.\n5. Substitute f = g + 20 to q, which gives q = g + 68.\n6. Substitute g = 19 to q, which gives q = 87.\n\nThus, the final answer is q = \\boxed{87}.",
"index": 23079,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = e + 15; f = g + 20; e = v + 5; d = y + 13; g = 19; q = d + 4; c = p + 18; v = i + 12; i = r + 19; y = c + 11; p = f + 2; u = m + 13; r = g + 9. If g = 19, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"h": "b + 18", "o": "h + 11", "x": "o + 1", "t": "x + 11", "n": "t + 1", "z": "n + 18", "m": "b + 12", "u": "m + 16", "f": "u + 15", "e": "f + 5", "c": "e + 7", "v": "c + 9", "b": 11}, "premises": {"b": 11}, "target": "z"}, "answer": {"steps": [["n", "t + 1", "t + 19"], ["t", "x + 11", "x + 30"], ["x", "o + 1", "o + 31"], ["o", "h + 11", "h + 42"], ["h", "b + 18", "b + 60"], ["b", 11, "71"]], "target_var_name": "z", "target_value": 71, "value_dict": {"b": 11}, "is_reverse": true}}
| 23,080
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = t + 1; v = c + 9; b = 11; x = o + 1; h = b + 18; f = u + 15; c = e + 7; z = n + 18; u = m + 16; t = x + 11; o = h + 11; m = b + 12; e = f + 5. If b = 11, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = t + 1 to z, which gives z = t + 19.\n2. Substitute t = x + 11 to z, which gives z = x + 30.\n3. Substitute x = o + 1 to z, which gives z = o + 31.\n4. Substitute o = h + 11 to z, which gives z = h + 42.\n5. Substitute h = b + 18 to z, which gives z = b + 60.\n6. Substitute b = 11 to z, which gives z = 71.\n\nThus, the final answer is z = \\boxed{71}.",
"index": 23080,
"question": "Consider a system of variables where each variable is defined as follows: n = t + 1; v = c + 9; b = 11; x = o + 1; h = b + 18; f = u + 15; c = e + 7; z = n + 18; u = m + 16; t = x + 11; o = h + 11; m = b + 12; e = f + 5. If b = 11, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"a": "o + 10", "r": "a + 1", "k": "r + 19", "s": "k + 1", "z": "s + 6", "l": "z + 12", "f": "o + 13", "w": "f + 14", "p": "w + 12", "h": "p + 17", "m": "h + 1", "j": "m + 19", "o": 11}, "premises": {"o": 11}, "target": "l"}, "answer": {"steps": [["z", "s + 6", "s + 18"], ["s", "k + 1", "k + 19"], ["k", "r + 19", "r + 38"], ["r", "a + 1", "a + 39"], ["a", "o + 10", "o + 49"], ["o", 11, "60"]], "target_var_name": "l", "target_value": 60, "value_dict": {"o": 11}, "is_reverse": true}}
| 23,081
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = w + 12; h = p + 17; w = f + 14; j = m + 19; l = z + 12; a = o + 10; f = o + 13; m = h + 1; s = k + 1; r = a + 1; k = r + 19; z = s + 6; o = 11. Given that o = 11, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = s + 6 to l, which gives l = s + 18.\n2. Substitute s = k + 1 to l, which gives l = k + 19.\n3. Substitute k = r + 19 to l, which gives l = r + 38.\n4. Substitute r = a + 1 to l, which gives l = a + 39.\n5. Substitute a = o + 10 to l, which gives l = o + 49.\n6. Substitute o = 11 to l, which gives l = 60.\n\nThus, the final answer is l = \\boxed{60}.",
"index": 23081,
"question": "Suppose a collection of variables is related by the following definitions: p = w + 12; h = p + 17; w = f + 14; j = m + 19; l = z + 12; a = o + 10; f = o + 13; m = h + 1; s = k + 1; r = a + 1; k = r + 19; z = s + 6; o = 11. Given that o = 11, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"w": "u + 13", "r": "w + 4", "g": "r + 9", "j": "g + 2", "z": "j + 1", "b": "z + 1", "s": "u + 13", "h": "s + 17", "o": "h + 6", "x": "o + 15", "c": "x + 13", "p": "c + 13", "u": 15}, "premises": {"u": 15}, "target": "b"}, "answer": {"steps": [["z", "j + 1", "j + 2"], ["j", "g + 2", "g + 4"], ["g", "r + 9", "r + 13"], ["r", "w + 4", "w + 17"], ["w", "u + 13", "u + 30"], ["u", 15, "45"]], "target_var_name": "b", "target_value": 45, "value_dict": {"u": 15}, "is_reverse": true}}
| 23,082
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = s + 17; z = j + 1; j = g + 2; u = 15; s = u + 13; w = u + 13; p = c + 13; r = w + 4; c = x + 13; g = r + 9; o = h + 6; x = o + 15; b = z + 1. Given that u = 15, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 45,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = j + 1 to b, which gives b = j + 2.\n2. Substitute j = g + 2 to b, which gives b = g + 4.\n3. Substitute g = r + 9 to b, which gives b = r + 13.\n4. Substitute r = w + 4 to b, which gives b = w + 17.\n5. Substitute w = u + 13 to b, which gives b = u + 30.\n6. Substitute u = 15 to b, which gives b = 45.\n\nThus, the final answer is b = \\boxed{45}.",
"index": 23082,
"question": "Suppose a collection of variables is related by the following definitions: h = s + 17; z = j + 1; j = g + 2; u = 15; s = u + 13; w = u + 13; p = c + 13; r = w + 4; c = x + 13; g = r + 9; o = h + 6; x = o + 15; b = z + 1. Given that u = 15, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"y": "t + 9", "m": "y + 15", "s": "m + 1", "b": "s + 20", "j": "b + 1", "a": "j + 13", "x": "t + 2", "p": "x + 19", "l": "p + 9", "g": "l + 16", "n": "g + 15", "c": "n + 16", "t": 16}, "premises": {"t": 16}, "target": "a"}, "answer": {"steps": [["j", "b + 1", "b + 14"], ["b", "s + 20", "s + 34"], ["s", "m + 1", "m + 35"], ["m", "y + 15", "y + 50"], ["y", "t + 9", "t + 59"], ["t", 16, "75"]], "target_var_name": "a", "target_value": 75, "value_dict": {"t": 16}, "is_reverse": true}}
| 23,083
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = y + 15; x = t + 2; c = n + 16; t = 16; j = b + 1; y = t + 9; s = m + 1; n = g + 15; p = x + 19; g = l + 16; b = s + 20; l = p + 9; a = j + 13. If t = 16, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = b + 1 to a, which gives a = b + 14.\n2. Substitute b = s + 20 to a, which gives a = s + 34.\n3. Substitute s = m + 1 to a, which gives a = m + 35.\n4. Substitute m = y + 15 to a, which gives a = y + 50.\n5. Substitute y = t + 9 to a, which gives a = t + 59.\n6. Substitute t = 16 to a, which gives a = 75.\n\nThus, the final answer is a = \\boxed{75}.",
"index": 23083,
"question": "Consider a system of variables where each variable is defined as follows: m = y + 15; x = t + 2; c = n + 16; t = 16; j = b + 1; y = t + 9; s = m + 1; n = g + 15; p = x + 19; g = l + 16; b = s + 20; l = p + 9; a = j + 13. If t = 16, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"w": "s + 1", "c": "w + 12", "a": "c + 19", "u": "a + 7", "q": "u + 12", "k": "q + 4", "d": "s + 3", "l": "d + 12", "b": "l + 6", "h": "b + 8", "o": "h + 7", "p": "o + 6", "s": 3}, "premises": {"s": 3}, "target": "k"}, "answer": {"steps": [["q", "u + 12", "u + 16"], ["u", "a + 7", "a + 23"], ["a", "c + 19", "c + 42"], ["c", "w + 12", "w + 54"], ["w", "s + 1", "s + 55"], ["s", 3, "58"]], "target_var_name": "k", "target_value": 58, "value_dict": {"s": 3}, "is_reverse": true}}
| 23,084
| 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 = s + 3; p = o + 6; o = h + 7; s = 3; l = d + 12; u = a + 7; h = b + 8; q = u + 12; c = w + 12; k = q + 4; b = l + 6; a = c + 19; w = s + 1. If s = 3, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = u + 12 to k, which gives k = u + 16.\n2. Substitute u = a + 7 to k, which gives k = a + 23.\n3. Substitute a = c + 19 to k, which gives k = c + 42.\n4. Substitute c = w + 12 to k, which gives k = w + 54.\n5. Substitute w = s + 1 to k, which gives k = s + 55.\n6. Substitute s = 3 to k, which gives k = 58.\n\nThus, the final answer is k = \\boxed{58}.",
"index": 23084,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = s + 3; p = o + 6; o = h + 7; s = 3; l = d + 12; u = a + 7; h = b + 8; q = u + 12; c = w + 12; k = q + 4; b = l + 6; a = c + 19; w = s + 1. If s = 3, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"g": "p + 4", "s": "g + 4", "n": "s + 10", "y": "n + 5", "k": "y + 14", "o": "k + 2", "d": "p + 6", "f": "d + 7", "a": "f + 15", "t": "a + 8", "b": "t + 2", "w": "b + 17", "p": 1}, "premises": {"p": 1}, "target": "o"}, "answer": {"steps": [["k", "y + 14", "y + 16"], ["y", "n + 5", "n + 21"], ["n", "s + 10", "s + 31"], ["s", "g + 4", "g + 35"], ["g", "p + 4", "p + 39"], ["p", 1, "40"]], "target_var_name": "o", "target_value": 40, "value_dict": {"p": 1}, "is_reverse": true}}
| 23,085
| 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 = s + 10; p = 1; f = d + 7; g = p + 4; o = k + 2; s = g + 4; k = y + 14; y = n + 5; b = t + 2; a = f + 15; d = p + 6; t = a + 8; w = b + 17. If p = 1, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 40,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = y + 14 to o, which gives o = y + 16.\n2. Substitute y = n + 5 to o, which gives o = n + 21.\n3. Substitute n = s + 10 to o, which gives o = s + 31.\n4. Substitute s = g + 4 to o, which gives o = g + 35.\n5. Substitute g = p + 4 to o, which gives o = p + 39.\n6. Substitute p = 1 to o, which gives o = 40.\n\nThus, the final answer is o = \\boxed{40}.",
"index": 23085,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = s + 10; p = 1; f = d + 7; g = p + 4; o = k + 2; s = g + 4; k = y + 14; y = n + 5; b = t + 2; a = f + 15; d = p + 6; t = a + 8; w = b + 17. If p = 1, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"j": "b + 7", "s": "j + 17", "m": "s + 17", "i": "m + 11", "g": "i + 7", "v": "g + 16", "p": "b + 7", "u": "p + 7", "c": "u + 8", "o": "c + 16", "x": "o + 10", "n": "x + 18", "b": 7}, "premises": {"b": 7}, "target": "v"}, "answer": {"steps": [["g", "i + 7", "i + 23"], ["i", "m + 11", "m + 34"], ["m", "s + 17", "s + 51"], ["s", "j + 17", "j + 68"], ["j", "b + 7", "b + 75"], ["b", 7, "82"]], "target_var_name": "v", "target_value": 82, "value_dict": {"b": 7}, "is_reverse": true}}
| 23,086
| 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 = j + 17; j = b + 7; g = i + 7; p = b + 7; x = o + 10; n = x + 18; m = s + 17; i = m + 11; b = 7; c = u + 8; v = g + 16; u = p + 7; o = c + 16. If b = 7, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = i + 7 to v, which gives v = i + 23.\n2. Substitute i = m + 11 to v, which gives v = m + 34.\n3. Substitute m = s + 17 to v, which gives v = s + 51.\n4. Substitute s = j + 17 to v, which gives v = j + 68.\n5. Substitute j = b + 7 to v, which gives v = b + 75.\n6. Substitute b = 7 to v, which gives v = 82.\n\nThus, the final answer is v = \\boxed{82}.",
"index": 23086,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = j + 17; j = b + 7; g = i + 7; p = b + 7; x = o + 10; n = x + 18; m = s + 17; i = m + 11; b = 7; c = u + 8; v = g + 16; u = p + 7; o = c + 16. If b = 7, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"o": "h + 19", "q": "o + 11", "d": "q + 14", "g": "d + 20", "a": "g + 17", "f": "a + 1", "j": "h + 10", "n": "j + 14", "l": "n + 9", "t": "l + 16", "v": "t + 3", "u": "v + 13", "h": 2}, "premises": {"h": 2}, "target": "f"}, "answer": {"steps": [["a", "g + 17", "g + 18"], ["g", "d + 20", "d + 38"], ["d", "q + 14", "q + 52"], ["q", "o + 11", "o + 63"], ["o", "h + 19", "h + 82"], ["h", 2, "84"]], "target_var_name": "f", "target_value": 84, "value_dict": {"h": 2}, "is_reverse": true}}
| 23,087
| 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 = o + 11; o = h + 19; j = h + 10; f = a + 1; g = d + 20; n = j + 14; u = v + 13; t = l + 16; v = t + 3; d = q + 14; a = g + 17; l = n + 9; h = 2. If h = 2, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = g + 17 to f, which gives f = g + 18.\n2. Substitute g = d + 20 to f, which gives f = d + 38.\n3. Substitute d = q + 14 to f, which gives f = q + 52.\n4. Substitute q = o + 11 to f, which gives f = o + 63.\n5. Substitute o = h + 19 to f, which gives f = h + 82.\n6. Substitute h = 2 to f, which gives f = 84.\n\nThus, the final answer is f = \\boxed{84}.",
"index": 23087,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = o + 11; o = h + 19; j = h + 10; f = a + 1; g = d + 20; n = j + 14; u = v + 13; t = l + 16; v = t + 3; d = q + 14; a = g + 17; l = n + 9; h = 2. If h = 2, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"j": "v + 20", "p": "j + 5", "u": "p + 15", "k": "u + 20", "f": "k + 20", "x": "f + 13", "g": "v + 17", "h": "g + 3", "y": "h + 20", "i": "y + 11", "t": "i + 13", "n": "t + 15", "v": 8}, "premises": {"v": 8}, "target": "x"}, "answer": {"steps": [["f", "k + 20", "k + 33"], ["k", "u + 20", "u + 53"], ["u", "p + 15", "p + 68"], ["p", "j + 5", "j + 73"], ["j", "v + 20", "v + 93"], ["v", 8, "101"]], "target_var_name": "x", "target_value": 101, "value_dict": {"v": 8}, "is_reverse": true}}
| 23,088
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = g + 3; j = v + 20; n = t + 15; k = u + 20; u = p + 15; i = y + 11; x = f + 13; t = i + 13; p = j + 5; y = h + 20; f = k + 20; g = v + 17; v = 8. If v = 8, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 101,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = k + 20 to x, which gives x = k + 33.\n2. Substitute k = u + 20 to x, which gives x = u + 53.\n3. Substitute u = p + 15 to x, which gives x = p + 68.\n4. Substitute p = j + 5 to x, which gives x = j + 73.\n5. Substitute j = v + 20 to x, which gives x = v + 93.\n6. Substitute v = 8 to x, which gives x = 101.\n\nThus, the final answer is x = \\boxed{101}.",
"index": 23088,
"question": "Consider a system of variables where each variable is defined as follows: h = g + 3; j = v + 20; n = t + 15; k = u + 20; u = p + 15; i = y + 11; x = f + 13; t = i + 13; p = j + 5; y = h + 20; f = k + 20; g = v + 17; v = 8. If v = 8, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"x": "f + 18", "o": "x + 13", "t": "o + 8", "g": "t + 14", "y": "g + 18", "w": "y + 19", "z": "f + 10", "q": "z + 2", "j": "q + 7", "k": "j + 1", "u": "k + 1", "i": "u + 14", "f": 17}, "premises": {"f": 17}, "target": "w"}, "answer": {"steps": [["y", "g + 18", "g + 37"], ["g", "t + 14", "t + 51"], ["t", "o + 8", "o + 59"], ["o", "x + 13", "x + 72"], ["x", "f + 18", "f + 90"], ["f", 17, "107"]], "target_var_name": "w", "target_value": 107, "value_dict": {"f": 17}, "is_reverse": true}}
| 23,089
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = x + 13; g = t + 14; i = u + 14; w = y + 19; t = o + 8; x = f + 18; y = g + 18; q = z + 2; f = 17; j = q + 7; z = f + 10; k = j + 1; u = k + 1. Given that f = 17, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 107,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = g + 18 to w, which gives w = g + 37.\n2. Substitute g = t + 14 to w, which gives w = t + 51.\n3. Substitute t = o + 8 to w, which gives w = o + 59.\n4. Substitute o = x + 13 to w, which gives w = x + 72.\n5. Substitute x = f + 18 to w, which gives w = f + 90.\n6. Substitute f = 17 to w, which gives w = 107.\n\nThus, the final answer is w = \\boxed{107}.",
"index": 23089,
"question": "Suppose a collection of variables is related by the following definitions: o = x + 13; g = t + 14; i = u + 14; w = y + 19; t = o + 8; x = f + 18; y = g + 18; q = z + 2; f = 17; j = q + 7; z = f + 10; k = j + 1; u = k + 1. Given that f = 17, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"i": "v + 11", "l": "i + 4", "t": "l + 1", "n": "t + 13", "g": "n + 2", "z": "g + 20", "y": "v + 1", "f": "y + 5", "u": "f + 8", "m": "u + 12", "d": "m + 5", "e": "d + 13", "v": 15}, "premises": {"v": 15}, "target": "z"}, "answer": {"steps": [["g", "n + 2", "n + 22"], ["n", "t + 13", "t + 35"], ["t", "l + 1", "l + 36"], ["l", "i + 4", "i + 40"], ["i", "v + 11", "v + 51"], ["v", 15, "66"]], "target_var_name": "z", "target_value": 66, "value_dict": {"v": 15}, "is_reverse": true}}
| 23,090
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = u + 12; u = f + 8; f = y + 5; y = v + 1; l = i + 4; n = t + 13; t = l + 1; g = n + 2; d = m + 5; z = g + 20; e = d + 13; v = 15; i = v + 11. If v = 15, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = n + 2 to z, which gives z = n + 22.\n2. Substitute n = t + 13 to z, which gives z = t + 35.\n3. Substitute t = l + 1 to z, which gives z = l + 36.\n4. Substitute l = i + 4 to z, which gives z = i + 40.\n5. Substitute i = v + 11 to z, which gives z = v + 51.\n6. Substitute v = 15 to z, which gives z = 66.\n\nThus, the final answer is z = \\boxed{66}.",
"index": 23090,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = u + 12; u = f + 8; f = y + 5; y = v + 1; l = i + 4; n = t + 13; t = l + 1; g = n + 2; d = m + 5; z = g + 20; e = d + 13; v = 15; i = v + 11. If v = 15, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"y": "s + 8", "c": "y + 4", "w": "c + 10", "o": "w + 16", "t": "o + 17", "g": "t + 7", "m": "s + 20", "h": "m + 1", "i": "h + 17", "q": "i + 4", "j": "q + 11", "b": "j + 8", "s": 6}, "premises": {"s": 6}, "target": "g"}, "answer": {"steps": [["t", "o + 17", "o + 24"], ["o", "w + 16", "w + 40"], ["w", "c + 10", "c + 50"], ["c", "y + 4", "y + 54"], ["y", "s + 8", "s + 62"], ["s", 6, "68"]], "target_var_name": "g", "target_value": 68, "value_dict": {"s": 6}, "is_reverse": true}}
| 23,091
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = t + 7; y = s + 8; w = c + 10; h = m + 1; q = i + 4; c = y + 4; o = w + 16; s = 6; m = s + 20; b = j + 8; t = o + 17; i = h + 17; j = q + 11. If s = 6, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = o + 17 to g, which gives g = o + 24.\n2. Substitute o = w + 16 to g, which gives g = w + 40.\n3. Substitute w = c + 10 to g, which gives g = c + 50.\n4. Substitute c = y + 4 to g, which gives g = y + 54.\n5. Substitute y = s + 8 to g, which gives g = s + 62.\n6. Substitute s = 6 to g, which gives g = 68.\n\nThus, the final answer is g = \\boxed{68}.",
"index": 23091,
"question": "Consider a system of variables where each variable is defined as follows: g = t + 7; y = s + 8; w = c + 10; h = m + 1; q = i + 4; c = y + 4; o = w + 16; s = 6; m = s + 20; b = j + 8; t = o + 17; i = h + 17; j = q + 11. If s = 6, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"q": "k + 7", "t": "q + 8", "c": "t + 18", "j": "c + 17", "u": "j + 20", "g": "u + 7", "b": "k + 11", "f": "b + 15", "a": "f + 14", "s": "a + 14", "o": "s + 2", "w": "o + 15", "k": 11}, "premises": {"k": 11}, "target": "g"}, "answer": {"steps": [["u", "j + 20", "j + 27"], ["j", "c + 17", "c + 44"], ["c", "t + 18", "t + 62"], ["t", "q + 8", "q + 70"], ["q", "k + 7", "k + 77"], ["k", 11, "88"]], "target_var_name": "g", "target_value": 88, "value_dict": {"k": 11}, "is_reverse": true}}
| 23,092
| 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 + 20; w = o + 15; f = b + 15; o = s + 2; t = q + 8; c = t + 18; a = f + 14; j = c + 17; k = 11; b = k + 11; g = u + 7; s = a + 14; q = k + 7. If k = 11, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = j + 20 to g, which gives g = j + 27.\n2. Substitute j = c + 17 to g, which gives g = c + 44.\n3. Substitute c = t + 18 to g, which gives g = t + 62.\n4. Substitute t = q + 8 to g, which gives g = q + 70.\n5. Substitute q = k + 7 to g, which gives g = k + 77.\n6. Substitute k = 11 to g, which gives g = 88.\n\nThus, the final answer is g = \\boxed{88}.",
"index": 23092,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = j + 20; w = o + 15; f = b + 15; o = s + 2; t = q + 8; c = t + 18; a = f + 14; j = c + 17; k = 11; b = k + 11; g = u + 7; s = a + 14; q = k + 7. If k = 11, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"n": "z + 7", "w": "n + 20", "c": "w + 13", "g": "c + 6", "d": "g + 4", "v": "d + 7", "t": "z + 15", "u": "t + 8", "l": "u + 4", "f": "l + 3", "j": "f + 6", "e": "j + 16", "z": 2}, "premises": {"z": 2}, "target": "v"}, "answer": {"steps": [["d", "g + 4", "g + 11"], ["g", "c + 6", "c + 17"], ["c", "w + 13", "w + 30"], ["w", "n + 20", "n + 50"], ["n", "z + 7", "z + 57"], ["z", 2, "59"]], "target_var_name": "v", "target_value": 59, "value_dict": {"z": 2}, "is_reverse": true}}
| 23,093
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = 2; g = c + 6; j = f + 6; e = j + 16; n = z + 7; w = n + 20; l = u + 4; v = d + 7; d = g + 4; t = z + 15; u = t + 8; f = l + 3; c = w + 13. If z = 2, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = g + 4 to v, which gives v = g + 11.\n2. Substitute g = c + 6 to v, which gives v = c + 17.\n3. Substitute c = w + 13 to v, which gives v = w + 30.\n4. Substitute w = n + 20 to v, which gives v = n + 50.\n5. Substitute n = z + 7 to v, which gives v = z + 57.\n6. Substitute z = 2 to v, which gives v = 59.\n\nThus, the final answer is v = \\boxed{59}.",
"index": 23093,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = 2; g = c + 6; j = f + 6; e = j + 16; n = z + 7; w = n + 20; l = u + 4; v = d + 7; d = g + 4; t = z + 15; u = t + 8; f = l + 3; c = w + 13. If z = 2, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"a": "n + 20", "m": "a + 18", "w": "m + 1", "h": "w + 12", "x": "h + 11", "l": "x + 17", "u": "n + 17", "f": "u + 6", "t": "f + 3", "b": "t + 7", "j": "b + 14", "o": "j + 5", "n": 4}, "premises": {"n": 4}, "target": "l"}, "answer": {"steps": [["x", "h + 11", "h + 28"], ["h", "w + 12", "w + 40"], ["w", "m + 1", "m + 41"], ["m", "a + 18", "a + 59"], ["a", "n + 20", "n + 79"], ["n", 4, "83"]], "target_var_name": "l", "target_value": 83, "value_dict": {"n": 4}, "is_reverse": true}}
| 23,094
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = f + 3; x = h + 11; h = w + 12; n = 4; f = u + 6; b = t + 7; l = x + 17; o = j + 5; j = b + 14; a = n + 20; u = n + 17; w = m + 1; m = a + 18. If n = 4, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = h + 11 to l, which gives l = h + 28.\n2. Substitute h = w + 12 to l, which gives l = w + 40.\n3. Substitute w = m + 1 to l, which gives l = m + 41.\n4. Substitute m = a + 18 to l, which gives l = a + 59.\n5. Substitute a = n + 20 to l, which gives l = n + 79.\n6. Substitute n = 4 to l, which gives l = 83.\n\nThus, the final answer is l = \\boxed{83}.",
"index": 23094,
"question": "Consider a system of variables where each variable is defined as follows: t = f + 3; x = h + 11; h = w + 12; n = 4; f = u + 6; b = t + 7; l = x + 17; o = j + 5; j = b + 14; a = n + 20; u = n + 17; w = m + 1; m = a + 18. If n = 4, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"t": "z + 11", "b": "t + 18", "v": "b + 1", "y": "v + 19", "r": "y + 14", "k": "r + 4", "q": "z + 15", "f": "q + 1", "s": "f + 14", "d": "s + 11", "j": "d + 18", "e": "j + 10", "z": 6}, "premises": {"z": 6}, "target": "k"}, "answer": {"steps": [["r", "y + 14", "y + 18"], ["y", "v + 19", "v + 37"], ["v", "b + 1", "b + 38"], ["b", "t + 18", "t + 56"], ["t", "z + 11", "z + 67"], ["z", 6, "73"]], "target_var_name": "k", "target_value": 73, "value_dict": {"z": 6}, "is_reverse": true}}
| 23,095
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = b + 1; s = f + 14; y = v + 19; t = z + 11; f = q + 1; e = j + 10; j = d + 18; r = y + 14; d = s + 11; b = t + 18; z = 6; k = r + 4; q = z + 15. Given that z = 6, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = y + 14 to k, which gives k = y + 18.\n2. Substitute y = v + 19 to k, which gives k = v + 37.\n3. Substitute v = b + 1 to k, which gives k = b + 38.\n4. Substitute b = t + 18 to k, which gives k = t + 56.\n5. Substitute t = z + 11 to k, which gives k = z + 67.\n6. Substitute z = 6 to k, which gives k = 73.\n\nThus, the final answer is k = \\boxed{73}.",
"index": 23095,
"question": "Suppose a collection of variables is related by the following definitions: v = b + 1; s = f + 14; y = v + 19; t = z + 11; f = q + 1; e = j + 10; j = d + 18; r = y + 14; d = s + 11; b = t + 18; z = 6; k = r + 4; q = z + 15. Given that z = 6, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"c": "g + 8", "z": "c + 5", "w": "z + 4", "j": "w + 5", "o": "j + 17", "v": "o + 6", "u": "g + 9", "t": "u + 19", "i": "t + 7", "k": "i + 10", "r": "k + 20", "l": "r + 6", "g": 5}, "premises": {"g": 5}, "target": "v"}, "answer": {"steps": [["o", "j + 17", "j + 23"], ["j", "w + 5", "w + 28"], ["w", "z + 4", "z + 32"], ["z", "c + 5", "c + 37"], ["c", "g + 8", "g + 45"], ["g", 5, "50"]], "target_var_name": "v", "target_value": 50, "value_dict": {"g": 5}, "is_reverse": true}}
| 23,096
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = z + 4; g = 5; i = t + 7; c = g + 8; o = j + 17; j = w + 5; t = u + 19; r = k + 20; u = g + 9; k = i + 10; l = r + 6; v = o + 6; z = c + 5. If g = 5, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 50,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = j + 17 to v, which gives v = j + 23.\n2. Substitute j = w + 5 to v, which gives v = w + 28.\n3. Substitute w = z + 4 to v, which gives v = z + 32.\n4. Substitute z = c + 5 to v, which gives v = c + 37.\n5. Substitute c = g + 8 to v, which gives v = g + 45.\n6. Substitute g = 5 to v, which gives v = 50.\n\nThus, the final answer is v = \\boxed{50}.",
"index": 23096,
"question": "Consider a system of variables where each variable is defined as follows: w = z + 4; g = 5; i = t + 7; c = g + 8; o = j + 17; j = w + 5; t = u + 19; r = k + 20; u = g + 9; k = i + 10; l = r + 6; v = o + 6; z = c + 5. If g = 5, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"t": "v + 2", "z": "t + 19", "d": "z + 13", "s": "d + 8", "n": "s + 3", "o": "n + 5", "g": "v + 2", "w": "g + 12", "f": "w + 9", "i": "f + 4", "u": "i + 4", "a": "u + 11", "v": 19}, "premises": {"v": 19}, "target": "o"}, "answer": {"steps": [["n", "s + 3", "s + 8"], ["s", "d + 8", "d + 16"], ["d", "z + 13", "z + 29"], ["z", "t + 19", "t + 48"], ["t", "v + 2", "v + 50"], ["v", 19, "69"]], "target_var_name": "o", "target_value": 69, "value_dict": {"v": 19}, "is_reverse": true}}
| 23,097
| 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 = w + 9; n = s + 3; u = i + 4; o = n + 5; v = 19; a = u + 11; t = v + 2; d = z + 13; w = g + 12; z = t + 19; s = d + 8; i = f + 4; g = v + 2. If v = 19, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = s + 3 to o, which gives o = s + 8.\n2. Substitute s = d + 8 to o, which gives o = d + 16.\n3. Substitute d = z + 13 to o, which gives o = z + 29.\n4. Substitute z = t + 19 to o, which gives o = t + 48.\n5. Substitute t = v + 2 to o, which gives o = v + 50.\n6. Substitute v = 19 to o, which gives o = 69.\n\nThus, the final answer is o = \\boxed{69}.",
"index": 23097,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = w + 9; n = s + 3; u = i + 4; o = n + 5; v = 19; a = u + 11; t = v + 2; d = z + 13; w = g + 12; z = t + 19; s = d + 8; i = f + 4; g = v + 2. If v = 19, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"r": "v + 1", "z": "r + 5", "p": "z + 9", "k": "p + 12", "y": "k + 3", "b": "y + 6", "t": "v + 3", "s": "t + 15", "w": "s + 15", "x": "w + 14", "a": "x + 1", "j": "a + 7", "v": 18}, "premises": {"v": 18}, "target": "b"}, "answer": {"steps": [["y", "k + 3", "k + 9"], ["k", "p + 12", "p + 21"], ["p", "z + 9", "z + 30"], ["z", "r + 5", "r + 35"], ["r", "v + 1", "v + 36"], ["v", 18, "54"]], "target_var_name": "b", "target_value": 54, "value_dict": {"v": 18}, "is_reverse": true}}
| 23,098
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = z + 9; v = 18; y = k + 3; x = w + 14; a = x + 1; s = t + 15; j = a + 7; t = v + 3; w = s + 15; r = v + 1; k = p + 12; z = r + 5; b = y + 6. Given that v = 18, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = k + 3 to b, which gives b = k + 9.\n2. Substitute k = p + 12 to b, which gives b = p + 21.\n3. Substitute p = z + 9 to b, which gives b = z + 30.\n4. Substitute z = r + 5 to b, which gives b = r + 35.\n5. Substitute r = v + 1 to b, which gives b = v + 36.\n6. Substitute v = 18 to b, which gives b = 54.\n\nThus, the final answer is b = \\boxed{54}.",
"index": 23098,
"question": "Suppose a collection of variables is related by the following definitions: p = z + 9; v = 18; y = k + 3; x = w + 14; a = x + 1; s = t + 15; j = a + 7; t = v + 3; w = s + 15; r = v + 1; k = p + 12; z = r + 5; b = y + 6. Given that v = 18, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"l": "m + 6", "f": "l + 20", "d": "f + 12", "g": "d + 11", "y": "g + 2", "w": "y + 6", "h": "m + 15", "o": "h + 12", "p": "o + 16", "k": "p + 19", "s": "k + 1", "a": "s + 3", "m": 14}, "premises": {"m": 14}, "target": "w"}, "answer": {"steps": [["y", "g + 2", "g + 8"], ["g", "d + 11", "d + 19"], ["d", "f + 12", "f + 31"], ["f", "l + 20", "l + 51"], ["l", "m + 6", "m + 57"], ["m", 14, "71"]], "target_var_name": "w", "target_value": 71, "value_dict": {"m": 14}, "is_reverse": true}}
| 23,099
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = d + 11; a = s + 3; m = 14; y = g + 2; w = y + 6; s = k + 1; p = o + 16; d = f + 12; f = l + 20; l = m + 6; k = p + 19; h = m + 15; o = h + 12. Given that m = 14, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = g + 2 to w, which gives w = g + 8.\n2. Substitute g = d + 11 to w, which gives w = d + 19.\n3. Substitute d = f + 12 to w, which gives w = f + 31.\n4. Substitute f = l + 20 to w, which gives w = l + 51.\n5. Substitute l = m + 6 to w, which gives w = m + 57.\n6. Substitute m = 14 to w, which gives w = 71.\n\nThus, the final answer is w = \\boxed{71}.",
"index": 23099,
"question": "Suppose a collection of variables is related by the following definitions: g = d + 11; a = s + 3; m = 14; y = g + 2; w = y + 6; s = k + 1; p = o + 16; d = f + 12; f = l + 20; l = m + 6; k = p + 19; h = m + 15; o = h + 12. Given that m = 14, find the value of w.",
"split": "train"
}
|
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