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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": "l + 12", "h": "j + 8", "n": "h + 4", "p": "n + 6", "i": "p + 1", "m": "i + 4", "t": "l + 1", "b": "t + 4", "z": "b + 17", "w": "z + 13", "y": "w + 19", "k": "y + 2", "l": 2}, "premises": {"l": 2}, "target": "m"}, "answer": {"steps": [["i", "p + 1", "p + 5"], ["p", "n + 6", "n + 11"], ["n", "h + 4", "h + 15"], ["h", "j + 8", "j + 23"], ["j", "l + 12", "l + 35"], ["l", 2, "37"]], "target_var_name": "m", "target_value": 37, "value_dict": {"l": 2}, "is_reverse": true}}
| 2,000
| 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 = y + 2; y = w + 19; h = j + 8; l = 2; t = l + 1; j = l + 12; z = b + 17; w = z + 13; i = p + 1; b = t + 4; n = h + 4; m = i + 4; p = n + 6. If l = 2, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 37,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = p + 1 to m, which gives m = p + 5.\n2. Substitute p = n + 6 to m, which gives m = n + 11.\n3. Substitute n = h + 4 to m, which gives m = h + 15.\n4. Substitute h = j + 8 to m, which gives m = j + 23.\n5. Substitute j = l + 12 to m, which gives m = l + 35.\n6. Substitute l = 2 to m, which gives m = 37.\n\nThus, the final answer is m = \\boxed{37}.",
"index": 2000,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = y + 2; y = w + 19; h = j + 8; l = 2; t = l + 1; j = l + 12; z = b + 17; w = z + 13; i = p + 1; b = t + 4; n = h + 4; m = i + 4; p = n + 6. If l = 2, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"a": "r + 16", "k": "a + 15", "o": "k + 13", "t": "o + 15", "l": "t + 1", "v": "l + 19", "h": "r + 10", "u": "h + 6", "m": "u + 11", "q": "m + 14", "d": "q + 13", "b": "d + 9", "r": 12}, "premises": {"r": 12}, "target": "v"}, "answer": {"steps": [["l", "t + 1", "t + 20"], ["t", "o + 15", "o + 35"], ["o", "k + 13", "k + 48"], ["k", "a + 15", "a + 63"], ["a", "r + 16", "r + 79"], ["r", 12, "91"]], "target_var_name": "v", "target_value": 91, "value_dict": {"r": 12}, "is_reverse": true}}
| 2,001
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = 12; u = h + 6; l = t + 1; a = r + 16; d = q + 13; b = d + 9; v = l + 19; m = u + 11; h = r + 10; q = m + 14; o = k + 13; t = o + 15; k = a + 15. If r = 12, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = t + 1 to v, which gives v = t + 20.\n2. Substitute t = o + 15 to v, which gives v = o + 35.\n3. Substitute o = k + 13 to v, which gives v = k + 48.\n4. Substitute k = a + 15 to v, which gives v = a + 63.\n5. Substitute a = r + 16 to v, which gives v = r + 79.\n6. Substitute r = 12 to v, which gives v = 91.\n\nThus, the final answer is v = \\boxed{91}.",
"index": 2001,
"question": "Consider a system of variables where each variable is defined as follows: r = 12; u = h + 6; l = t + 1; a = r + 16; d = q + 13; b = d + 9; v = l + 19; m = u + 11; h = r + 10; q = m + 14; o = k + 13; t = o + 15; k = a + 15. If r = 12, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"z": "f + 18", "j": "z + 6", "k": "j + 17", "u": "k + 11", "d": "u + 4", "c": "d + 4", "t": "f + 17", "v": "t + 15", "m": "v + 6", "i": "m + 19", "n": "i + 9", "e": "n + 7", "f": 7}, "premises": {"f": 7}, "target": "c"}, "answer": {"steps": [["d", "u + 4", "u + 8"], ["u", "k + 11", "k + 19"], ["k", "j + 17", "j + 36"], ["j", "z + 6", "z + 42"], ["z", "f + 18", "f + 60"], ["f", 7, "67"]], "target_var_name": "c", "target_value": 67, "value_dict": {"f": 7}, "is_reverse": true}}
| 2,002
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = m + 19; n = i + 9; c = d + 4; e = n + 7; t = f + 17; k = j + 17; z = f + 18; u = k + 11; d = u + 4; f = 7; v = t + 15; j = z + 6; m = v + 6. Given that f = 7, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = u + 4 to c, which gives c = u + 8.\n2. Substitute u = k + 11 to c, which gives c = k + 19.\n3. Substitute k = j + 17 to c, which gives c = j + 36.\n4. Substitute j = z + 6 to c, which gives c = z + 42.\n5. Substitute z = f + 18 to c, which gives c = f + 60.\n6. Substitute f = 7 to c, which gives c = 67.\n\nThus, the final answer is c = \\boxed{67}.",
"index": 2002,
"question": "Suppose a collection of variables is related by the following definitions: i = m + 19; n = i + 9; c = d + 4; e = n + 7; t = f + 17; k = j + 17; z = f + 18; u = k + 11; d = u + 4; f = 7; v = t + 15; j = z + 6; m = v + 6. Given that f = 7, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"p": "k + 3", "e": "p + 13", "s": "e + 3", "z": "s + 17", "a": "z + 7", "f": "a + 6", "i": "k + 6", "c": "i + 9", "m": "c + 13", "y": "m + 5", "n": "y + 16", "w": "n + 13", "k": 15}, "premises": {"k": 15}, "target": "f"}, "answer": {"steps": [["a", "z + 7", "z + 13"], ["z", "s + 17", "s + 30"], ["s", "e + 3", "e + 33"], ["e", "p + 13", "p + 46"], ["p", "k + 3", "k + 49"], ["k", 15, "64"]], "target_var_name": "f", "target_value": 64, "value_dict": {"k": 15}, "is_reverse": true}}
| 2,003
| 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 = a + 6; m = c + 13; k = 15; z = s + 17; w = n + 13; e = p + 13; s = e + 3; p = k + 3; y = m + 5; i = k + 6; n = y + 16; c = i + 9; a = z + 7. If k = 15, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = z + 7 to f, which gives f = z + 13.\n2. Substitute z = s + 17 to f, which gives f = s + 30.\n3. Substitute s = e + 3 to f, which gives f = e + 33.\n4. Substitute e = p + 13 to f, which gives f = p + 46.\n5. Substitute p = k + 3 to f, which gives f = k + 49.\n6. Substitute k = 15 to f, which gives f = 64.\n\nThus, the final answer is f = \\boxed{64}.",
"index": 2003,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = a + 6; m = c + 13; k = 15; z = s + 17; w = n + 13; e = p + 13; s = e + 3; p = k + 3; y = m + 5; i = k + 6; n = y + 16; c = i + 9; a = z + 7. If k = 15, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"t": "c + 7", "m": "t + 10", "f": "m + 7", "e": "f + 16", "u": "e + 7", "i": "u + 16", "v": "c + 4", "q": "v + 8", "l": "q + 13", "b": "l + 10", "d": "b + 1", "k": "d + 20", "c": 4}, "premises": {"c": 4}, "target": "i"}, "answer": {"steps": [["u", "e + 7", "e + 23"], ["e", "f + 16", "f + 39"], ["f", "m + 7", "m + 46"], ["m", "t + 10", "t + 56"], ["t", "c + 7", "c + 63"], ["c", 4, "67"]], "target_var_name": "i", "target_value": 67, "value_dict": {"c": 4}, "is_reverse": true}}
| 2,004
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = d + 20; q = v + 8; i = u + 16; e = f + 16; b = l + 10; f = m + 7; m = t + 10; l = q + 13; u = e + 7; v = c + 4; c = 4; t = c + 7; d = b + 1. If c = 4, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = e + 7 to i, which gives i = e + 23.\n2. Substitute e = f + 16 to i, which gives i = f + 39.\n3. Substitute f = m + 7 to i, which gives i = m + 46.\n4. Substitute m = t + 10 to i, which gives i = t + 56.\n5. Substitute t = c + 7 to i, which gives i = c + 63.\n6. Substitute c = 4 to i, which gives i = 67.\n\nThus, the final answer is i = \\boxed{67}.",
"index": 2004,
"question": "Consider a system of variables where each variable is defined as follows: k = d + 20; q = v + 8; i = u + 16; e = f + 16; b = l + 10; f = m + 7; m = t + 10; l = q + 13; u = e + 7; v = c + 4; c = 4; t = c + 7; d = b + 1. If c = 4, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"j": "c + 2", "g": "j + 3", "o": "g + 15", "r": "o + 12", "b": "r + 17", "z": "b + 11", "m": "c + 5", "p": "m + 5", "v": "p + 4", "s": "v + 13", "n": "s + 12", "a": "n + 10", "c": 4}, "premises": {"c": 4}, "target": "z"}, "answer": {"steps": [["b", "r + 17", "r + 28"], ["r", "o + 12", "o + 40"], ["o", "g + 15", "g + 55"], ["g", "j + 3", "j + 58"], ["j", "c + 2", "c + 60"], ["c", 4, "64"]], "target_var_name": "z", "target_value": 64, "value_dict": {"c": 4}, "is_reverse": true}}
| 2,005
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = n + 10; p = m + 5; z = b + 11; c = 4; b = r + 17; s = v + 13; m = c + 5; n = s + 12; o = g + 15; g = j + 3; v = p + 4; r = o + 12; j = c + 2. If c = 4, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = r + 17 to z, which gives z = r + 28.\n2. Substitute r = o + 12 to z, which gives z = o + 40.\n3. Substitute o = g + 15 to z, which gives z = g + 55.\n4. Substitute g = j + 3 to z, which gives z = j + 58.\n5. Substitute j = c + 2 to z, which gives z = c + 60.\n6. Substitute c = 4 to z, which gives z = 64.\n\nThus, the final answer is z = \\boxed{64}.",
"index": 2005,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = n + 10; p = m + 5; z = b + 11; c = 4; b = r + 17; s = v + 13; m = c + 5; n = s + 12; o = g + 15; g = j + 3; v = p + 4; r = o + 12; j = c + 2. If c = 4, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"d": "e + 2", "x": "d + 15", "n": "x + 10", "u": "n + 14", "v": "u + 12", "r": "v + 7", "q": "e + 15", "p": "q + 9", "g": "p + 16", "k": "g + 1", "i": "k + 9", "z": "i + 3", "e": 18}, "premises": {"e": 18}, "target": "r"}, "answer": {"steps": [["v", "u + 12", "u + 19"], ["u", "n + 14", "n + 33"], ["n", "x + 10", "x + 43"], ["x", "d + 15", "d + 58"], ["d", "e + 2", "e + 60"], ["e", 18, "78"]], "target_var_name": "r", "target_value": 78, "value_dict": {"e": 18}, "is_reverse": true}}
| 2,006
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = u + 12; u = n + 14; x = d + 15; d = e + 2; r = v + 7; n = x + 10; z = i + 3; i = k + 9; g = p + 16; e = 18; p = q + 9; q = e + 15; k = g + 1. If e = 18, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = u + 12 to r, which gives r = u + 19.\n2. Substitute u = n + 14 to r, which gives r = n + 33.\n3. Substitute n = x + 10 to r, which gives r = x + 43.\n4. Substitute x = d + 15 to r, which gives r = d + 58.\n5. Substitute d = e + 2 to r, which gives r = e + 60.\n6. Substitute e = 18 to r, which gives r = 78.\n\nThus, the final answer is r = \\boxed{78}.",
"index": 2006,
"question": "Consider a system of variables where each variable is defined as follows: v = u + 12; u = n + 14; x = d + 15; d = e + 2; r = v + 7; n = x + 10; z = i + 3; i = k + 9; g = p + 16; e = 18; p = q + 9; q = e + 15; k = g + 1. If e = 18, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"t": "k + 3", "l": "t + 2", "j": "l + 20", "v": "j + 11", "x": "v + 19", "m": "x + 19", "s": "k + 8", "e": "s + 15", "d": "e + 2", "g": "d + 17", "u": "g + 16", "b": "u + 4", "k": 5}, "premises": {"k": 5}, "target": "m"}, "answer": {"steps": [["x", "v + 19", "v + 38"], ["v", "j + 11", "j + 49"], ["j", "l + 20", "l + 69"], ["l", "t + 2", "t + 71"], ["t", "k + 3", "k + 74"], ["k", 5, "79"]], "target_var_name": "m", "target_value": 79, "value_dict": {"k": 5}, "is_reverse": true}}
| 2,007
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = x + 19; e = s + 15; x = v + 19; s = k + 8; d = e + 2; k = 5; g = d + 17; t = k + 3; b = u + 4; v = j + 11; l = t + 2; j = l + 20; u = g + 16. If k = 5, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = v + 19 to m, which gives m = v + 38.\n2. Substitute v = j + 11 to m, which gives m = j + 49.\n3. Substitute j = l + 20 to m, which gives m = l + 69.\n4. Substitute l = t + 2 to m, which gives m = t + 71.\n5. Substitute t = k + 3 to m, which gives m = k + 74.\n6. Substitute k = 5 to m, which gives m = 79.\n\nThus, the final answer is m = \\boxed{79}.",
"index": 2007,
"question": "Consider a system of variables where each variable is defined as follows: m = x + 19; e = s + 15; x = v + 19; s = k + 8; d = e + 2; k = 5; g = d + 17; t = k + 3; b = u + 4; v = j + 11; l = t + 2; j = l + 20; u = g + 16. If k = 5, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"p": "f + 8", "k": "p + 7", "d": "k + 5", "j": "d + 13", "l": "j + 3", "r": "l + 7", "c": "f + 20", "g": "c + 20", "e": "g + 14", "u": "e + 17", "i": "u + 6", "x": "i + 5", "f": 3}, "premises": {"f": 3}, "target": "r"}, "answer": {"steps": [["l", "j + 3", "j + 10"], ["j", "d + 13", "d + 23"], ["d", "k + 5", "k + 28"], ["k", "p + 7", "p + 35"], ["p", "f + 8", "f + 43"], ["f", 3, "46"]], "target_var_name": "r", "target_value": 46, "value_dict": {"f": 3}, "is_reverse": true}}
| 2,008
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = e + 17; f = 3; g = c + 20; k = p + 7; e = g + 14; p = f + 8; i = u + 6; j = d + 13; c = f + 20; d = k + 5; l = j + 3; x = i + 5; r = l + 7. If f = 3, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 46,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = j + 3 to r, which gives r = j + 10.\n2. Substitute j = d + 13 to r, which gives r = d + 23.\n3. Substitute d = k + 5 to r, which gives r = k + 28.\n4. Substitute k = p + 7 to r, which gives r = p + 35.\n5. Substitute p = f + 8 to r, which gives r = f + 43.\n6. Substitute f = 3 to r, which gives r = 46.\n\nThus, the final answer is r = \\boxed{46}.",
"index": 2008,
"question": "Consider a system of variables where each variable is defined as follows: u = e + 17; f = 3; g = c + 20; k = p + 7; e = g + 14; p = f + 8; i = u + 6; j = d + 13; c = f + 20; d = k + 5; l = j + 3; x = i + 5; r = l + 7. If f = 3, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"q": "k + 17", "l": "q + 20", "v": "l + 12", "a": "v + 2", "o": "a + 7", "u": "o + 19", "b": "k + 17", "t": "b + 1", "p": "t + 10", "z": "p + 17", "f": "z + 5", "d": "f + 13", "k": 17}, "premises": {"k": 17}, "target": "u"}, "answer": {"steps": [["o", "a + 7", "a + 26"], ["a", "v + 2", "v + 28"], ["v", "l + 12", "l + 40"], ["l", "q + 20", "q + 60"], ["q", "k + 17", "k + 77"], ["k", 17, "94"]], "target_var_name": "u", "target_value": 94, "value_dict": {"k": 17}, "is_reverse": true}}
| 2,009
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = z + 5; a = v + 2; o = a + 7; p = t + 10; v = l + 12; l = q + 20; u = o + 19; k = 17; z = p + 17; b = k + 17; d = f + 13; t = b + 1; q = k + 17. If k = 17, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = a + 7 to u, which gives u = a + 26.\n2. Substitute a = v + 2 to u, which gives u = v + 28.\n3. Substitute v = l + 12 to u, which gives u = l + 40.\n4. Substitute l = q + 20 to u, which gives u = q + 60.\n5. Substitute q = k + 17 to u, which gives u = k + 77.\n6. Substitute k = 17 to u, which gives u = 94.\n\nThus, the final answer is u = \\boxed{94}.",
"index": 2009,
"question": "Consider a system of variables where each variable is defined as follows: f = z + 5; a = v + 2; o = a + 7; p = t + 10; v = l + 12; l = q + 20; u = o + 19; k = 17; z = p + 17; b = k + 17; d = f + 13; t = b + 1; q = k + 17. If k = 17, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"f": "l + 12", "k": "f + 17", "x": "k + 10", "b": "x + 18", "v": "b + 10", "u": "v + 10", "e": "l + 11", "t": "e + 11", "p": "t + 13", "o": "p + 18", "a": "o + 4", "m": "a + 7", "l": 15}, "premises": {"l": 15}, "target": "u"}, "answer": {"steps": [["v", "b + 10", "b + 20"], ["b", "x + 18", "x + 38"], ["x", "k + 10", "k + 48"], ["k", "f + 17", "f + 65"], ["f", "l + 12", "l + 77"], ["l", 15, "92"]], "target_var_name": "u", "target_value": 92, "value_dict": {"l": 15}, "is_reverse": true}}
| 2,010
| 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 = 15; b = x + 18; v = b + 10; k = f + 17; m = a + 7; p = t + 13; o = p + 18; t = e + 11; e = l + 11; x = k + 10; f = l + 12; u = v + 10; a = o + 4. If l = 15, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = b + 10 to u, which gives u = b + 20.\n2. Substitute b = x + 18 to u, which gives u = x + 38.\n3. Substitute x = k + 10 to u, which gives u = k + 48.\n4. Substitute k = f + 17 to u, which gives u = f + 65.\n5. Substitute f = l + 12 to u, which gives u = l + 77.\n6. Substitute l = 15 to u, which gives u = 92.\n\nThus, the final answer is u = \\boxed{92}.",
"index": 2010,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = 15; b = x + 18; v = b + 10; k = f + 17; m = a + 7; p = t + 13; o = p + 18; t = e + 11; e = l + 11; x = k + 10; f = l + 12; u = v + 10; a = o + 4. If l = 15, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"h": "k + 18", "x": "h + 14", "r": "x + 6", "i": "r + 15", "p": "i + 12", "t": "p + 10", "s": "k + 1", "w": "s + 11", "u": "w + 17", "q": "u + 13", "b": "q + 14", "y": "b + 7", "k": 19}, "premises": {"k": 19}, "target": "t"}, "answer": {"steps": [["p", "i + 12", "i + 22"], ["i", "r + 15", "r + 37"], ["r", "x + 6", "x + 43"], ["x", "h + 14", "h + 57"], ["h", "k + 18", "k + 75"], ["k", 19, "94"]], "target_var_name": "t", "target_value": 94, "value_dict": {"k": 19}, "is_reverse": true}}
| 2,011
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = x + 6; u = w + 17; y = b + 7; p = i + 12; q = u + 13; x = h + 14; t = p + 10; w = s + 11; k = 19; s = k + 1; i = r + 15; b = q + 14; h = k + 18. Given that k = 19, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = i + 12 to t, which gives t = i + 22.\n2. Substitute i = r + 15 to t, which gives t = r + 37.\n3. Substitute r = x + 6 to t, which gives t = x + 43.\n4. Substitute x = h + 14 to t, which gives t = h + 57.\n5. Substitute h = k + 18 to t, which gives t = k + 75.\n6. Substitute k = 19 to t, which gives t = 94.\n\nThus, the final answer is t = \\boxed{94}.",
"index": 2011,
"question": "Suppose a collection of variables is related by the following definitions: r = x + 6; u = w + 17; y = b + 7; p = i + 12; q = u + 13; x = h + 14; t = p + 10; w = s + 11; k = 19; s = k + 1; i = r + 15; b = q + 14; h = k + 18. Given that k = 19, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"w": "m + 7", "y": "w + 3", "e": "y + 8", "f": "e + 1", "i": "f + 17", "u": "i + 6", "s": "m + 11", "x": "s + 12", "l": "x + 16", "p": "l + 2", "n": "p + 20", "q": "n + 16", "m": 12}, "premises": {"m": 12}, "target": "u"}, "answer": {"steps": [["i", "f + 17", "f + 23"], ["f", "e + 1", "e + 24"], ["e", "y + 8", "y + 32"], ["y", "w + 3", "w + 35"], ["w", "m + 7", "m + 42"], ["m", 12, "54"]], "target_var_name": "u", "target_value": 54, "value_dict": {"m": 12}, "is_reverse": true}}
| 2,012
| 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 = p + 20; u = i + 6; f = e + 1; m = 12; l = x + 16; e = y + 8; q = n + 16; w = m + 7; y = w + 3; p = l + 2; i = f + 17; x = s + 12; s = m + 11. If m = 12, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = f + 17 to u, which gives u = f + 23.\n2. Substitute f = e + 1 to u, which gives u = e + 24.\n3. Substitute e = y + 8 to u, which gives u = y + 32.\n4. Substitute y = w + 3 to u, which gives u = w + 35.\n5. Substitute w = m + 7 to u, which gives u = m + 42.\n6. Substitute m = 12 to u, which gives u = 54.\n\nThus, the final answer is u = \\boxed{54}.",
"index": 2012,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = p + 20; u = i + 6; f = e + 1; m = 12; l = x + 16; e = y + 8; q = n + 16; w = m + 7; y = w + 3; p = l + 2; i = f + 17; x = s + 12; s = m + 11. If m = 12, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"b": "k + 14", "j": "b + 4", "n": "j + 8", "w": "n + 13", "s": "w + 11", "a": "s + 13", "m": "k + 4", "e": "m + 13", "v": "e + 15", "t": "v + 4", "y": "t + 11", "z": "y + 3", "k": 13}, "premises": {"k": 13}, "target": "a"}, "answer": {"steps": [["s", "w + 11", "w + 24"], ["w", "n + 13", "n + 37"], ["n", "j + 8", "j + 45"], ["j", "b + 4", "b + 49"], ["b", "k + 14", "k + 63"], ["k", 13, "76"]], "target_var_name": "a", "target_value": 76, "value_dict": {"k": 13}, "is_reverse": true}}
| 2,013
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = v + 4; y = t + 11; j = b + 4; m = k + 4; a = s + 13; z = y + 3; w = n + 13; e = m + 13; n = j + 8; b = k + 14; k = 13; v = e + 15; s = w + 11. Given that k = 13, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = w + 11 to a, which gives a = w + 24.\n2. Substitute w = n + 13 to a, which gives a = n + 37.\n3. Substitute n = j + 8 to a, which gives a = j + 45.\n4. Substitute j = b + 4 to a, which gives a = b + 49.\n5. Substitute b = k + 14 to a, which gives a = k + 63.\n6. Substitute k = 13 to a, which gives a = 76.\n\nThus, the final answer is a = \\boxed{76}.",
"index": 2013,
"question": "Suppose a collection of variables is related by the following definitions: t = v + 4; y = t + 11; j = b + 4; m = k + 4; a = s + 13; z = y + 3; w = n + 13; e = m + 13; n = j + 8; b = k + 14; k = 13; v = e + 15; s = w + 11. Given that k = 13, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"t": "i + 3", "b": "t + 7", "f": "b + 19", "o": "f + 1", "l": "o + 4", "j": "l + 3", "h": "i + 17", "q": "h + 3", "p": "q + 2", "r": "p + 15", "d": "r + 4", "e": "d + 7", "i": 12}, "premises": {"i": 12}, "target": "j"}, "answer": {"steps": [["l", "o + 4", "o + 7"], ["o", "f + 1", "f + 8"], ["f", "b + 19", "b + 27"], ["b", "t + 7", "t + 34"], ["t", "i + 3", "i + 37"], ["i", 12, "49"]], "target_var_name": "j", "target_value": 49, "value_dict": {"i": 12}, "is_reverse": true}}
| 2,014
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = r + 4; l = o + 4; f = b + 19; p = q + 2; i = 12; h = i + 17; j = l + 3; b = t + 7; r = p + 15; e = d + 7; q = h + 3; t = i + 3; o = f + 1. Given that i = 12, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = o + 4 to j, which gives j = o + 7.\n2. Substitute o = f + 1 to j, which gives j = f + 8.\n3. Substitute f = b + 19 to j, which gives j = b + 27.\n4. Substitute b = t + 7 to j, which gives j = t + 34.\n5. Substitute t = i + 3 to j, which gives j = i + 37.\n6. Substitute i = 12 to j, which gives j = 49.\n\nThus, the final answer is j = \\boxed{49}.",
"index": 2014,
"question": "Suppose a collection of variables is related by the following definitions: d = r + 4; l = o + 4; f = b + 19; p = q + 2; i = 12; h = i + 17; j = l + 3; b = t + 7; r = p + 15; e = d + 7; q = h + 3; t = i + 3; o = f + 1. Given that i = 12, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"o": "m + 3", "n": "o + 7", "b": "n + 16", "g": "b + 1", "d": "g + 7", "p": "d + 14", "f": "m + 20", "x": "f + 13", "w": "x + 14", "a": "w + 10", "q": "a + 4", "e": "q + 20", "m": 2}, "premises": {"m": 2}, "target": "p"}, "answer": {"steps": [["d", "g + 7", "g + 21"], ["g", "b + 1", "b + 22"], ["b", "n + 16", "n + 38"], ["n", "o + 7", "o + 45"], ["o", "m + 3", "m + 48"], ["m", 2, "50"]], "target_var_name": "p", "target_value": 50, "value_dict": {"m": 2}, "is_reverse": true}}
| 2,015
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = w + 10; d = g + 7; o = m + 3; w = x + 14; x = f + 13; f = m + 20; e = q + 20; m = 2; b = n + 16; g = b + 1; p = d + 14; q = a + 4; n = o + 7. If m = 2, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 50,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = g + 7 to p, which gives p = g + 21.\n2. Substitute g = b + 1 to p, which gives p = b + 22.\n3. Substitute b = n + 16 to p, which gives p = n + 38.\n4. Substitute n = o + 7 to p, which gives p = o + 45.\n5. Substitute o = m + 3 to p, which gives p = m + 48.\n6. Substitute m = 2 to p, which gives p = 50.\n\nThus, the final answer is p = \\boxed{50}.",
"index": 2015,
"question": "Consider a system of variables where each variable is defined as follows: a = w + 10; d = g + 7; o = m + 3; w = x + 14; x = f + 13; f = m + 20; e = q + 20; m = 2; b = n + 16; g = b + 1; p = d + 14; q = a + 4; n = o + 7. If m = 2, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"s": "c + 7", "f": "s + 3", "i": "f + 12", "q": "i + 9", "a": "q + 8", "y": "a + 20", "h": "c + 2", "t": "h + 11", "g": "t + 10", "m": "g + 11", "b": "m + 7", "l": "b + 6", "c": 15}, "premises": {"c": 15}, "target": "y"}, "answer": {"steps": [["a", "q + 8", "q + 28"], ["q", "i + 9", "i + 37"], ["i", "f + 12", "f + 49"], ["f", "s + 3", "s + 52"], ["s", "c + 7", "c + 59"], ["c", 15, "74"]], "target_var_name": "y", "target_value": 74, "value_dict": {"c": 15}, "is_reverse": true}}
| 2,016
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = s + 3; l = b + 6; g = t + 10; c = 15; m = g + 11; b = m + 7; i = f + 12; s = c + 7; h = c + 2; y = a + 20; q = i + 9; a = q + 8; t = h + 11. Given that c = 15, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = q + 8 to y, which gives y = q + 28.\n2. Substitute q = i + 9 to y, which gives y = i + 37.\n3. Substitute i = f + 12 to y, which gives y = f + 49.\n4. Substitute f = s + 3 to y, which gives y = s + 52.\n5. Substitute s = c + 7 to y, which gives y = c + 59.\n6. Substitute c = 15 to y, which gives y = 74.\n\nThus, the final answer is y = \\boxed{74}.",
"index": 2016,
"question": "Suppose a collection of variables is related by the following definitions: f = s + 3; l = b + 6; g = t + 10; c = 15; m = g + 11; b = m + 7; i = f + 12; s = c + 7; h = c + 2; y = a + 20; q = i + 9; a = q + 8; t = h + 11. Given that c = 15, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"l": "r + 14", "k": "l + 5", "c": "k + 16", "e": "c + 8", "n": "e + 11", "g": "n + 12", "o": "r + 18", "i": "o + 3", "a": "i + 6", "b": "a + 5", "m": "b + 6", "x": "m + 4", "r": 17}, "premises": {"r": 17}, "target": "g"}, "answer": {"steps": [["n", "e + 11", "e + 23"], ["e", "c + 8", "c + 31"], ["c", "k + 16", "k + 47"], ["k", "l + 5", "l + 52"], ["l", "r + 14", "r + 66"], ["r", 17, "83"]], "target_var_name": "g", "target_value": 83, "value_dict": {"r": 17}, "is_reverse": true}}
| 2,017
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = r + 14; c = k + 16; k = l + 5; x = m + 4; m = b + 6; e = c + 8; o = r + 18; n = e + 11; r = 17; b = a + 5; i = o + 3; a = i + 6; g = n + 12. If r = 17, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = e + 11 to g, which gives g = e + 23.\n2. Substitute e = c + 8 to g, which gives g = c + 31.\n3. Substitute c = k + 16 to g, which gives g = k + 47.\n4. Substitute k = l + 5 to g, which gives g = l + 52.\n5. Substitute l = r + 14 to g, which gives g = r + 66.\n6. Substitute r = 17 to g, which gives g = 83.\n\nThus, the final answer is g = \\boxed{83}.",
"index": 2017,
"question": "Consider a system of variables where each variable is defined as follows: l = r + 14; c = k + 16; k = l + 5; x = m + 4; m = b + 6; e = c + 8; o = r + 18; n = e + 11; r = 17; b = a + 5; i = o + 3; a = i + 6; g = n + 12. If r = 17, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"p": "x + 14", "i": "p + 20", "j": "i + 5", "w": "j + 8", "f": "w + 16", "s": "f + 1", "m": "x + 5", "k": "m + 10", "t": "k + 4", "l": "t + 16", "n": "l + 13", "a": "n + 13", "x": 7}, "premises": {"x": 7}, "target": "s"}, "answer": {"steps": [["f", "w + 16", "w + 17"], ["w", "j + 8", "j + 25"], ["j", "i + 5", "i + 30"], ["i", "p + 20", "p + 50"], ["p", "x + 14", "x + 64"], ["x", 7, "71"]], "target_var_name": "s", "target_value": 71, "value_dict": {"x": 7}, "is_reverse": true}}
| 2,018
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = l + 13; s = f + 1; m = x + 5; x = 7; k = m + 10; l = t + 16; t = k + 4; a = n + 13; f = w + 16; i = p + 20; w = j + 8; j = i + 5; p = x + 14. If x = 7, what is the resulting 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 f = w + 16 to s, which gives s = w + 17.\n2. Substitute w = j + 8 to s, which gives s = j + 25.\n3. Substitute j = i + 5 to s, which gives s = i + 30.\n4. Substitute i = p + 20 to s, which gives s = p + 50.\n5. Substitute p = x + 14 to s, which gives s = x + 64.\n6. Substitute x = 7 to s, which gives s = 71.\n\nThus, the final answer is s = \\boxed{71}.",
"index": 2018,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = l + 13; s = f + 1; m = x + 5; x = 7; k = m + 10; l = t + 16; t = k + 4; a = n + 13; f = w + 16; i = p + 20; w = j + 8; j = i + 5; p = x + 14. If x = 7, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"y": "s + 12", "l": "y + 17", "x": "l + 8", "w": "x + 12", "m": "w + 19", "g": "m + 7", "p": "s + 17", "k": "p + 7", "a": "k + 6", "f": "a + 8", "t": "f + 9", "u": "t + 17", "s": 5}, "premises": {"s": 5}, "target": "g"}, "answer": {"steps": [["m", "w + 19", "w + 26"], ["w", "x + 12", "x + 38"], ["x", "l + 8", "l + 46"], ["l", "y + 17", "y + 63"], ["y", "s + 12", "s + 75"], ["s", 5, "80"]], "target_var_name": "g", "target_value": 80, "value_dict": {"s": 5}, "is_reverse": true}}
| 2,019
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = l + 8; w = x + 12; s = 5; y = s + 12; t = f + 9; m = w + 19; a = k + 6; f = a + 8; k = p + 7; g = m + 7; p = s + 17; l = y + 17; u = t + 17. If s = 5, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = w + 19 to g, which gives g = w + 26.\n2. Substitute w = x + 12 to g, which gives g = x + 38.\n3. Substitute x = l + 8 to g, which gives g = l + 46.\n4. Substitute l = y + 17 to g, which gives g = y + 63.\n5. Substitute y = s + 12 to g, which gives g = s + 75.\n6. Substitute s = 5 to g, which gives g = 80.\n\nThus, the final answer is g = \\boxed{80}.",
"index": 2019,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = l + 8; w = x + 12; s = 5; y = s + 12; t = f + 9; m = w + 19; a = k + 6; f = a + 8; k = p + 7; g = m + 7; p = s + 17; l = y + 17; u = t + 17. If s = 5, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"t": "z + 1", "j": "t + 2", "e": "j + 12", "i": "e + 16", "b": "i + 8", "k": "b + 1", "x": "z + 19", "s": "x + 2", "v": "s + 15", "m": "v + 13", "l": "m + 4", "d": "l + 13", "z": 15}, "premises": {"z": 15}, "target": "k"}, "answer": {"steps": [["b", "i + 8", "i + 9"], ["i", "e + 16", "e + 25"], ["e", "j + 12", "j + 37"], ["j", "t + 2", "t + 39"], ["t", "z + 1", "z + 40"], ["z", 15, "55"]], "target_var_name": "k", "target_value": 55, "value_dict": {"z": 15}, "is_reverse": true}}
| 2,020
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = e + 16; s = x + 2; l = m + 4; j = t + 2; e = j + 12; z = 15; t = z + 1; v = s + 15; d = l + 13; x = z + 19; k = b + 1; b = i + 8; m = v + 13. Given that z = 15, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = i + 8 to k, which gives k = i + 9.\n2. Substitute i = e + 16 to k, which gives k = e + 25.\n3. Substitute e = j + 12 to k, which gives k = j + 37.\n4. Substitute j = t + 2 to k, which gives k = t + 39.\n5. Substitute t = z + 1 to k, which gives k = z + 40.\n6. Substitute z = 15 to k, which gives k = 55.\n\nThus, the final answer is k = \\boxed{55}.",
"index": 2020,
"question": "Suppose a collection of variables is related by the following definitions: i = e + 16; s = x + 2; l = m + 4; j = t + 2; e = j + 12; z = 15; t = z + 1; v = s + 15; d = l + 13; x = z + 19; k = b + 1; b = i + 8; m = v + 13. Given that z = 15, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"h": "c + 8", "q": "h + 9", "b": "q + 5", "x": "b + 8", "j": "x + 4", "v": "j + 7", "l": "c + 18", "r": "l + 12", "y": "r + 13", "w": "y + 10", "z": "w + 5", "f": "z + 11", "c": 4}, "premises": {"c": 4}, "target": "v"}, "answer": {"steps": [["j", "x + 4", "x + 11"], ["x", "b + 8", "b + 19"], ["b", "q + 5", "q + 24"], ["q", "h + 9", "h + 33"], ["h", "c + 8", "c + 41"], ["c", 4, "45"]], "target_var_name": "v", "target_value": 45, "value_dict": {"c": 4}, "is_reverse": true}}
| 2,021
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = r + 13; f = z + 11; c = 4; j = x + 4; w = y + 10; q = h + 9; b = q + 5; x = b + 8; r = l + 12; z = w + 5; l = c + 18; v = j + 7; h = c + 8. Given that c = 4, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 45,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = x + 4 to v, which gives v = x + 11.\n2. Substitute x = b + 8 to v, which gives v = b + 19.\n3. Substitute b = q + 5 to v, which gives v = q + 24.\n4. Substitute q = h + 9 to v, which gives v = h + 33.\n5. Substitute h = c + 8 to v, which gives v = c + 41.\n6. Substitute c = 4 to v, which gives v = 45.\n\nThus, the final answer is v = \\boxed{45}.",
"index": 2021,
"question": "Suppose a collection of variables is related by the following definitions: y = r + 13; f = z + 11; c = 4; j = x + 4; w = y + 10; q = h + 9; b = q + 5; x = b + 8; r = l + 12; z = w + 5; l = c + 18; v = j + 7; h = c + 8. Given that c = 4, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"q": "v + 2", "x": "q + 15", "f": "x + 13", "u": "f + 13", "n": "u + 4", "l": "n + 13", "j": "v + 20", "c": "j + 2", "a": "c + 5", "e": "a + 5", "s": "e + 15", "y": "s + 15", "v": 8}, "premises": {"v": 8}, "target": "l"}, "answer": {"steps": [["n", "u + 4", "u + 17"], ["u", "f + 13", "f + 30"], ["f", "x + 13", "x + 43"], ["x", "q + 15", "q + 58"], ["q", "v + 2", "v + 60"], ["v", 8, "68"]], "target_var_name": "l", "target_value": 68, "value_dict": {"v": 8}, "is_reverse": true}}
| 2,022
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = c + 5; c = j + 2; l = n + 13; e = a + 5; s = e + 15; j = v + 20; v = 8; f = x + 13; x = q + 15; q = v + 2; n = u + 4; y = s + 15; u = f + 13. If v = 8, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = u + 4 to l, which gives l = u + 17.\n2. Substitute u = f + 13 to l, which gives l = f + 30.\n3. Substitute f = x + 13 to l, which gives l = x + 43.\n4. Substitute x = q + 15 to l, which gives l = q + 58.\n5. Substitute q = v + 2 to l, which gives l = v + 60.\n6. Substitute v = 8 to l, which gives l = 68.\n\nThus, the final answer is l = \\boxed{68}.",
"index": 2022,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = c + 5; c = j + 2; l = n + 13; e = a + 5; s = e + 15; j = v + 20; v = 8; f = x + 13; x = q + 15; q = v + 2; n = u + 4; y = s + 15; u = f + 13. If v = 8, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"r": "p + 3", "k": "r + 10", "z": "k + 14", "d": "z + 5", "w": "d + 4", "x": "w + 3", "f": "p + 13", "m": "f + 19", "i": "m + 10", "e": "i + 13", "t": "e + 18", "g": "t + 12", "p": 17}, "premises": {"p": 17}, "target": "x"}, "answer": {"steps": [["w", "d + 4", "d + 7"], ["d", "z + 5", "z + 12"], ["z", "k + 14", "k + 26"], ["k", "r + 10", "r + 36"], ["r", "p + 3", "p + 39"], ["p", 17, "56"]], "target_var_name": "x", "target_value": 56, "value_dict": {"p": 17}, "is_reverse": true}}
| 2,023
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = w + 3; g = t + 12; r = p + 3; z = k + 14; i = m + 10; m = f + 19; k = r + 10; t = e + 18; f = p + 13; w = d + 4; p = 17; d = z + 5; e = i + 13. If p = 17, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = d + 4 to x, which gives x = d + 7.\n2. Substitute d = z + 5 to x, which gives x = z + 12.\n3. Substitute z = k + 14 to x, which gives x = k + 26.\n4. Substitute k = r + 10 to x, which gives x = r + 36.\n5. Substitute r = p + 3 to x, which gives x = p + 39.\n6. Substitute p = 17 to x, which gives x = 56.\n\nThus, the final answer is x = \\boxed{56}.",
"index": 2023,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = w + 3; g = t + 12; r = p + 3; z = k + 14; i = m + 10; m = f + 19; k = r + 10; t = e + 18; f = p + 13; w = d + 4; p = 17; d = z + 5; e = i + 13. If p = 17, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"a": "r + 3", "n": "a + 1", "p": "n + 8", "o": "p + 3", "d": "o + 15", "c": "d + 18", "h": "r + 3", "i": "h + 11", "e": "i + 12", "f": "e + 12", "t": "f + 1", "l": "t + 10", "r": 3}, "premises": {"r": 3}, "target": "c"}, "answer": {"steps": [["d", "o + 15", "o + 33"], ["o", "p + 3", "p + 36"], ["p", "n + 8", "n + 44"], ["n", "a + 1", "a + 45"], ["a", "r + 3", "r + 48"], ["r", 3, "51"]], "target_var_name": "c", "target_value": 51, "value_dict": {"r": 3}, "is_reverse": true}}
| 2,024
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = a + 1; l = t + 10; i = h + 11; p = n + 8; t = f + 1; f = e + 12; c = d + 18; h = r + 3; e = i + 12; r = 3; d = o + 15; o = p + 3; a = r + 3. If r = 3, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = o + 15 to c, which gives c = o + 33.\n2. Substitute o = p + 3 to c, which gives c = p + 36.\n3. Substitute p = n + 8 to c, which gives c = n + 44.\n4. Substitute n = a + 1 to c, which gives c = a + 45.\n5. Substitute a = r + 3 to c, which gives c = r + 48.\n6. Substitute r = 3 to c, which gives c = 51.\n\nThus, the final answer is c = \\boxed{51}.",
"index": 2024,
"question": "Consider a system of variables where each variable is defined as follows: n = a + 1; l = t + 10; i = h + 11; p = n + 8; t = f + 1; f = e + 12; c = d + 18; h = r + 3; e = i + 12; r = 3; d = o + 15; o = p + 3; a = r + 3. If r = 3, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"d": "w + 10", "c": "d + 14", "o": "c + 13", "g": "o + 2", "e": "g + 4", "f": "e + 18", "r": "w + 1", "x": "r + 7", "z": "x + 20", "a": "z + 17", "b": "a + 10", "m": "b + 13", "w": 5}, "premises": {"w": 5}, "target": "f"}, "answer": {"steps": [["e", "g + 4", "g + 22"], ["g", "o + 2", "o + 24"], ["o", "c + 13", "c + 37"], ["c", "d + 14", "d + 51"], ["d", "w + 10", "w + 61"], ["w", 5, "66"]], "target_var_name": "f", "target_value": 66, "value_dict": {"w": 5}, "is_reverse": true}}
| 2,025
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = 5; a = z + 17; z = x + 20; f = e + 18; d = w + 10; e = g + 4; o = c + 13; r = w + 1; b = a + 10; x = r + 7; g = o + 2; c = d + 14; m = b + 13. If w = 5, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = g + 4 to f, which gives f = g + 22.\n2. Substitute g = o + 2 to f, which gives f = o + 24.\n3. Substitute o = c + 13 to f, which gives f = c + 37.\n4. Substitute c = d + 14 to f, which gives f = d + 51.\n5. Substitute d = w + 10 to f, which gives f = w + 61.\n6. Substitute w = 5 to f, which gives f = 66.\n\nThus, the final answer is f = \\boxed{66}.",
"index": 2025,
"question": "Consider a system of variables where each variable is defined as follows: w = 5; a = z + 17; z = x + 20; f = e + 18; d = w + 10; e = g + 4; o = c + 13; r = w + 1; b = a + 10; x = r + 7; g = o + 2; c = d + 14; m = b + 13. If w = 5, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"s": "x + 15", "c": "s + 14", "b": "c + 3", "n": "b + 14", "q": "n + 1", "w": "q + 19", "k": "x + 14", "i": "k + 2", "o": "i + 4", "v": "o + 4", "h": "v + 1", "f": "h + 14", "x": 14}, "premises": {"x": 14}, "target": "w"}, "answer": {"steps": [["q", "n + 1", "n + 20"], ["n", "b + 14", "b + 34"], ["b", "c + 3", "c + 37"], ["c", "s + 14", "s + 51"], ["s", "x + 15", "x + 66"], ["x", 14, "80"]], "target_var_name": "w", "target_value": 80, "value_dict": {"x": 14}, "is_reverse": true}}
| 2,026
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = h + 14; c = s + 14; n = b + 14; o = i + 4; h = v + 1; w = q + 19; q = n + 1; x = 14; v = o + 4; b = c + 3; i = k + 2; s = x + 15; k = x + 14. If x = 14, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = n + 1 to w, which gives w = n + 20.\n2. Substitute n = b + 14 to w, which gives w = b + 34.\n3. Substitute b = c + 3 to w, which gives w = c + 37.\n4. Substitute c = s + 14 to w, which gives w = s + 51.\n5. Substitute s = x + 15 to w, which gives w = x + 66.\n6. Substitute x = 14 to w, which gives w = 80.\n\nThus, the final answer is w = \\boxed{80}.",
"index": 2026,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = h + 14; c = s + 14; n = b + 14; o = i + 4; h = v + 1; w = q + 19; q = n + 1; x = 14; v = o + 4; b = c + 3; i = k + 2; s = x + 15; k = x + 14. If x = 14, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"k": "i + 19", "b": "k + 20", "j": "b + 4", "y": "j + 15", "h": "y + 13", "z": "h + 7", "l": "i + 3", "r": "l + 2", "e": "r + 5", "v": "e + 13", "u": "v + 12", "c": "u + 2", "i": 9}, "premises": {"i": 9}, "target": "z"}, "answer": {"steps": [["h", "y + 13", "y + 20"], ["y", "j + 15", "j + 35"], ["j", "b + 4", "b + 39"], ["b", "k + 20", "k + 59"], ["k", "i + 19", "i + 78"], ["i", 9, "87"]], "target_var_name": "z", "target_value": 87, "value_dict": {"i": 9}, "is_reverse": true}}
| 2,027
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = h + 7; r = l + 2; k = i + 19; i = 9; e = r + 5; h = y + 13; v = e + 13; y = j + 15; l = i + 3; u = v + 12; b = k + 20; c = u + 2; j = b + 4. Given that i = 9, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = y + 13 to z, which gives z = y + 20.\n2. Substitute y = j + 15 to z, which gives z = j + 35.\n3. Substitute j = b + 4 to z, which gives z = b + 39.\n4. Substitute b = k + 20 to z, which gives z = k + 59.\n5. Substitute k = i + 19 to z, which gives z = i + 78.\n6. Substitute i = 9 to z, which gives z = 87.\n\nThus, the final answer is z = \\boxed{87}.",
"index": 2027,
"question": "Suppose a collection of variables is related by the following definitions: z = h + 7; r = l + 2; k = i + 19; i = 9; e = r + 5; h = y + 13; v = e + 13; y = j + 15; l = i + 3; u = v + 12; b = k + 20; c = u + 2; j = b + 4. Given that i = 9, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"b": "r + 6", "e": "b + 2", "l": "e + 17", "q": "l + 5", "o": "q + 19", "y": "o + 4", "a": "r + 18", "x": "a + 10", "u": "x + 3", "n": "u + 5", "z": "n + 4", "p": "z + 8", "r": 1}, "premises": {"r": 1}, "target": "y"}, "answer": {"steps": [["o", "q + 19", "q + 23"], ["q", "l + 5", "l + 28"], ["l", "e + 17", "e + 45"], ["e", "b + 2", "b + 47"], ["b", "r + 6", "r + 53"], ["r", 1, "54"]], "target_var_name": "y", "target_value": 54, "value_dict": {"r": 1}, "is_reverse": true}}
| 2,028
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = l + 5; l = e + 17; e = b + 2; a = r + 18; z = n + 4; u = x + 3; b = r + 6; p = z + 8; n = u + 5; y = o + 4; r = 1; x = a + 10; o = q + 19. If r = 1, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = q + 19 to y, which gives y = q + 23.\n2. Substitute q = l + 5 to y, which gives y = l + 28.\n3. Substitute l = e + 17 to y, which gives y = e + 45.\n4. Substitute e = b + 2 to y, which gives y = b + 47.\n5. Substitute b = r + 6 to y, which gives y = r + 53.\n6. Substitute r = 1 to y, which gives y = 54.\n\nThus, the final answer is y = \\boxed{54}.",
"index": 2028,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = l + 5; l = e + 17; e = b + 2; a = r + 18; z = n + 4; u = x + 3; b = r + 6; p = z + 8; n = u + 5; y = o + 4; r = 1; x = a + 10; o = q + 19. If r = 1, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"o": "a + 3", "s": "o + 7", "w": "s + 15", "q": "w + 8", "p": "q + 19", "k": "p + 19", "n": "a + 7", "b": "n + 6", "h": "b + 14", "f": "h + 18", "y": "f + 13", "j": "y + 17", "a": 9}, "premises": {"a": 9}, "target": "k"}, "answer": {"steps": [["p", "q + 19", "q + 38"], ["q", "w + 8", "w + 46"], ["w", "s + 15", "s + 61"], ["s", "o + 7", "o + 68"], ["o", "a + 3", "a + 71"], ["a", 9, "80"]], "target_var_name": "k", "target_value": 80, "value_dict": {"a": 9}, "is_reverse": true}}
| 2,029
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = p + 19; q = w + 8; p = q + 19; o = a + 3; b = n + 6; j = y + 17; n = a + 7; a = 9; y = f + 13; f = h + 18; h = b + 14; w = s + 15; s = o + 7. Given that a = 9, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = q + 19 to k, which gives k = q + 38.\n2. Substitute q = w + 8 to k, which gives k = w + 46.\n3. Substitute w = s + 15 to k, which gives k = s + 61.\n4. Substitute s = o + 7 to k, which gives k = o + 68.\n5. Substitute o = a + 3 to k, which gives k = a + 71.\n6. Substitute a = 9 to k, which gives k = 80.\n\nThus, the final answer is k = \\boxed{80}.",
"index": 2029,
"question": "Suppose a collection of variables is related by the following definitions: k = p + 19; q = w + 8; p = q + 19; o = a + 3; b = n + 6; j = y + 17; n = a + 7; a = 9; y = f + 13; f = h + 18; h = b + 14; w = s + 15; s = o + 7. Given that a = 9, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"m": "w + 7", "b": "m + 14", "j": "b + 14", "v": "j + 19", "h": "v + 3", "d": "h + 2", "i": "w + 19", "g": "i + 10", "s": "g + 15", "k": "s + 13", "u": "k + 2", "r": "u + 5", "w": 9}, "premises": {"w": 9}, "target": "d"}, "answer": {"steps": [["h", "v + 3", "v + 5"], ["v", "j + 19", "j + 24"], ["j", "b + 14", "b + 38"], ["b", "m + 14", "m + 52"], ["m", "w + 7", "w + 59"], ["w", 9, "68"]], "target_var_name": "d", "target_value": 68, "value_dict": {"w": 9}, "is_reverse": true}}
| 2,030
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = w + 7; v = j + 19; r = u + 5; w = 9; j = b + 14; d = h + 2; i = w + 19; u = k + 2; b = m + 14; s = g + 15; k = s + 13; h = v + 3; g = i + 10. Given that w = 9, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = v + 3 to d, which gives d = v + 5.\n2. Substitute v = j + 19 to d, which gives d = j + 24.\n3. Substitute j = b + 14 to d, which gives d = b + 38.\n4. Substitute b = m + 14 to d, which gives d = m + 52.\n5. Substitute m = w + 7 to d, which gives d = w + 59.\n6. Substitute w = 9 to d, which gives d = 68.\n\nThus, the final answer is d = \\boxed{68}.",
"index": 2030,
"question": "Suppose a collection of variables is related by the following definitions: m = w + 7; v = j + 19; r = u + 5; w = 9; j = b + 14; d = h + 2; i = w + 19; u = k + 2; b = m + 14; s = g + 15; k = s + 13; h = v + 3; g = i + 10. Given that w = 9, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"g": "f + 8", "u": "g + 7", "m": "u + 16", "w": "m + 16", "h": "w + 11", "l": "h + 19", "d": "f + 16", "v": "d + 5", "e": "v + 10", "a": "e + 1", "p": "a + 5", "z": "p + 8", "f": 18}, "premises": {"f": 18}, "target": "l"}, "answer": {"steps": [["h", "w + 11", "w + 30"], ["w", "m + 16", "m + 46"], ["m", "u + 16", "u + 62"], ["u", "g + 7", "g + 69"], ["g", "f + 8", "f + 77"], ["f", 18, "95"]], "target_var_name": "l", "target_value": 95, "value_dict": {"f": 18}, "is_reverse": true}}
| 2,031
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = f + 16; e = v + 10; f = 18; l = h + 19; w = m + 16; p = a + 5; u = g + 7; a = e + 1; v = d + 5; z = p + 8; h = w + 11; g = f + 8; m = u + 16. If f = 18, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = w + 11 to l, which gives l = w + 30.\n2. Substitute w = m + 16 to l, which gives l = m + 46.\n3. Substitute m = u + 16 to l, which gives l = u + 62.\n4. Substitute u = g + 7 to l, which gives l = g + 69.\n5. Substitute g = f + 8 to l, which gives l = f + 77.\n6. Substitute f = 18 to l, which gives l = 95.\n\nThus, the final answer is l = \\boxed{95}.",
"index": 2031,
"question": "Consider a system of variables where each variable is defined as follows: d = f + 16; e = v + 10; f = 18; l = h + 19; w = m + 16; p = a + 5; u = g + 7; a = e + 1; v = d + 5; z = p + 8; h = w + 11; g = f + 8; m = u + 16. If f = 18, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"g": "c + 19", "t": "g + 4", "e": "t + 4", "m": "e + 9", "y": "m + 3", "f": "y + 20", "w": "c + 1", "n": "w + 15", "s": "n + 2", "z": "s + 5", "j": "z + 14", "q": "j + 8", "c": 16}, "premises": {"c": 16}, "target": "f"}, "answer": {"steps": [["y", "m + 3", "m + 23"], ["m", "e + 9", "e + 32"], ["e", "t + 4", "t + 36"], ["t", "g + 4", "g + 40"], ["g", "c + 19", "c + 59"], ["c", 16, "75"]], "target_var_name": "f", "target_value": 75, "value_dict": {"c": 16}, "is_reverse": true}}
| 2,032
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = c + 1; m = e + 9; j = z + 14; y = m + 3; c = 16; z = s + 5; s = n + 2; g = c + 19; t = g + 4; e = t + 4; f = y + 20; n = w + 15; q = j + 8. If c = 16, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = m + 3 to f, which gives f = m + 23.\n2. Substitute m = e + 9 to f, which gives f = e + 32.\n3. Substitute e = t + 4 to f, which gives f = t + 36.\n4. Substitute t = g + 4 to f, which gives f = g + 40.\n5. Substitute g = c + 19 to f, which gives f = c + 59.\n6. Substitute c = 16 to f, which gives f = 75.\n\nThus, the final answer is f = \\boxed{75}.",
"index": 2032,
"question": "Consider a system of variables where each variable is defined as follows: w = c + 1; m = e + 9; j = z + 14; y = m + 3; c = 16; z = s + 5; s = n + 2; g = c + 19; t = g + 4; e = t + 4; f = y + 20; n = w + 15; q = j + 8. If c = 16, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"d": "r + 2", "o": "d + 14", "s": "o + 17", "g": "s + 7", "b": "g + 4", "c": "b + 17", "e": "r + 7", "i": "e + 11", "h": "i + 1", "t": "h + 14", "w": "t + 2", "q": "w + 11", "r": 3}, "premises": {"r": 3}, "target": "c"}, "answer": {"steps": [["b", "g + 4", "g + 21"], ["g", "s + 7", "s + 28"], ["s", "o + 17", "o + 45"], ["o", "d + 14", "d + 59"], ["d", "r + 2", "r + 61"], ["r", 3, "64"]], "target_var_name": "c", "target_value": 64, "value_dict": {"r": 3}, "is_reverse": true}}
| 2,033
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = d + 14; b = g + 4; g = s + 7; t = h + 14; w = t + 2; i = e + 11; q = w + 11; s = o + 17; d = r + 2; h = i + 1; c = b + 17; r = 3; e = r + 7. Given that r = 3, find 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 b = g + 4 to c, which gives c = g + 21.\n2. Substitute g = s + 7 to c, which gives c = s + 28.\n3. Substitute s = o + 17 to c, which gives c = o + 45.\n4. Substitute o = d + 14 to c, which gives c = d + 59.\n5. Substitute d = r + 2 to c, which gives c = r + 61.\n6. Substitute r = 3 to c, which gives c = 64.\n\nThus, the final answer is c = \\boxed{64}.",
"index": 2033,
"question": "Suppose a collection of variables is related by the following definitions: o = d + 14; b = g + 4; g = s + 7; t = h + 14; w = t + 2; i = e + 11; q = w + 11; s = o + 17; d = r + 2; h = i + 1; c = b + 17; r = 3; e = r + 7. Given that r = 3, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"q": "r + 6", "u": "q + 17", "d": "u + 1", "n": "d + 5", "k": "n + 16", "l": "k + 4", "g": "r + 8", "f": "g + 13", "p": "f + 11", "o": "p + 5", "i": "o + 13", "e": "i + 9", "r": 7}, "premises": {"r": 7}, "target": "l"}, "answer": {"steps": [["k", "n + 16", "n + 20"], ["n", "d + 5", "d + 25"], ["d", "u + 1", "u + 26"], ["u", "q + 17", "q + 43"], ["q", "r + 6", "r + 49"], ["r", 7, "56"]], "target_var_name": "l", "target_value": 56, "value_dict": {"r": 7}, "is_reverse": true}}
| 2,034
| 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 = p + 5; i = o + 13; n = d + 5; q = r + 6; u = q + 17; f = g + 13; k = n + 16; d = u + 1; l = k + 4; p = f + 11; g = r + 8; r = 7; e = i + 9. If r = 7, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = n + 16 to l, which gives l = n + 20.\n2. Substitute n = d + 5 to l, which gives l = d + 25.\n3. Substitute d = u + 1 to l, which gives l = u + 26.\n4. Substitute u = q + 17 to l, which gives l = q + 43.\n5. Substitute q = r + 6 to l, which gives l = r + 49.\n6. Substitute r = 7 to l, which gives l = 56.\n\nThus, the final answer is l = \\boxed{56}.",
"index": 2034,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = p + 5; i = o + 13; n = d + 5; q = r + 6; u = q + 17; f = g + 13; k = n + 16; d = u + 1; l = k + 4; p = f + 11; g = r + 8; r = 7; e = i + 9. If r = 7, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"y": "i + 2", "j": "y + 7", "t": "j + 12", "v": "t + 13", "o": "v + 18", "r": "o + 19", "a": "i + 16", "w": "a + 15", "n": "w + 20", "z": "n + 18", "u": "z + 15", "f": "u + 20", "i": 2}, "premises": {"i": 2}, "target": "r"}, "answer": {"steps": [["o", "v + 18", "v + 37"], ["v", "t + 13", "t + 50"], ["t", "j + 12", "j + 62"], ["j", "y + 7", "y + 69"], ["y", "i + 2", "i + 71"], ["i", 2, "73"]], "target_var_name": "r", "target_value": 73, "value_dict": {"i": 2}, "is_reverse": true}}
| 2,035
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = i + 2; t = j + 12; v = t + 13; j = y + 7; n = w + 20; u = z + 15; o = v + 18; i = 2; w = a + 15; a = i + 16; f = u + 20; r = o + 19; z = n + 18. If i = 2, determine 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 o = v + 18 to r, which gives r = v + 37.\n2. Substitute v = t + 13 to r, which gives r = t + 50.\n3. Substitute t = j + 12 to r, which gives r = j + 62.\n4. Substitute j = y + 7 to r, which gives r = y + 69.\n5. Substitute y = i + 2 to r, which gives r = i + 71.\n6. Substitute i = 2 to r, which gives r = 73.\n\nThus, the final answer is r = \\boxed{73}.",
"index": 2035,
"question": "Consider a system of variables where each variable is defined as follows: y = i + 2; t = j + 12; v = t + 13; j = y + 7; n = w + 20; u = z + 15; o = v + 18; i = 2; w = a + 15; a = i + 16; f = u + 20; r = o + 19; z = n + 18. If i = 2, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"l": "c + 20", "u": "l + 8", "k": "u + 8", "y": "k + 19", "q": "y + 5", "g": "q + 20", "z": "c + 3", "a": "z + 8", "m": "a + 17", "o": "m + 5", "x": "o + 13", "w": "x + 1", "c": 11}, "premises": {"c": 11}, "target": "g"}, "answer": {"steps": [["q", "y + 5", "y + 25"], ["y", "k + 19", "k + 44"], ["k", "u + 8", "u + 52"], ["u", "l + 8", "l + 60"], ["l", "c + 20", "c + 80"], ["c", 11, "91"]], "target_var_name": "g", "target_value": 91, "value_dict": {"c": 11}, "is_reverse": true}}
| 2,036
| 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 = q + 20; u = l + 8; o = m + 5; l = c + 20; w = x + 1; a = z + 8; q = y + 5; x = o + 13; k = u + 8; z = c + 3; y = k + 19; m = a + 17; c = 11. If c = 11, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = y + 5 to g, which gives g = y + 25.\n2. Substitute y = k + 19 to g, which gives g = k + 44.\n3. Substitute k = u + 8 to g, which gives g = u + 52.\n4. Substitute u = l + 8 to g, which gives g = l + 60.\n5. Substitute l = c + 20 to g, which gives g = c + 80.\n6. Substitute c = 11 to g, which gives g = 91.\n\nThus, the final answer is g = \\boxed{91}.",
"index": 2036,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = q + 20; u = l + 8; o = m + 5; l = c + 20; w = x + 1; a = z + 8; q = y + 5; x = o + 13; k = u + 8; z = c + 3; y = k + 19; m = a + 17; c = 11. If c = 11, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"j": "p + 7", "l": "j + 17", "i": "l + 13", "b": "i + 9", "k": "b + 10", "u": "k + 12", "n": "p + 1", "r": "n + 14", "x": "r + 15", "s": "x + 18", "f": "s + 19", "t": "f + 9", "p": 6}, "premises": {"p": 6}, "target": "u"}, "answer": {"steps": [["k", "b + 10", "b + 22"], ["b", "i + 9", "i + 31"], ["i", "l + 13", "l + 44"], ["l", "j + 17", "j + 61"], ["j", "p + 7", "p + 68"], ["p", 6, "74"]], "target_var_name": "u", "target_value": 74, "value_dict": {"p": 6}, "is_reverse": true}}
| 2,037
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = s + 19; r = n + 14; x = r + 15; b = i + 9; n = p + 1; s = x + 18; t = f + 9; i = l + 13; k = b + 10; p = 6; j = p + 7; u = k + 12; l = j + 17. Given that p = 6, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = b + 10 to u, which gives u = b + 22.\n2. Substitute b = i + 9 to u, which gives u = i + 31.\n3. Substitute i = l + 13 to u, which gives u = l + 44.\n4. Substitute l = j + 17 to u, which gives u = j + 61.\n5. Substitute j = p + 7 to u, which gives u = p + 68.\n6. Substitute p = 6 to u, which gives u = 74.\n\nThus, the final answer is u = \\boxed{74}.",
"index": 2037,
"question": "Suppose a collection of variables is related by the following definitions: f = s + 19; r = n + 14; x = r + 15; b = i + 9; n = p + 1; s = x + 18; t = f + 9; i = l + 13; k = b + 10; p = 6; j = p + 7; u = k + 12; l = j + 17. Given that p = 6, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"t": "b + 11", "s": "t + 4", "c": "s + 10", "y": "c + 12", "d": "y + 8", "x": "d + 13", "f": "b + 6", "k": "f + 13", "w": "k + 20", "m": "w + 8", "r": "m + 8", "g": "r + 19", "b": 19}, "premises": {"b": 19}, "target": "x"}, "answer": {"steps": [["d", "y + 8", "y + 21"], ["y", "c + 12", "c + 33"], ["c", "s + 10", "s + 43"], ["s", "t + 4", "t + 47"], ["t", "b + 11", "b + 58"], ["b", 19, "77"]], "target_var_name": "x", "target_value": 77, "value_dict": {"b": 19}, "is_reverse": true}}
| 2,038
| 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 = d + 13; d = y + 8; y = c + 12; s = t + 4; k = f + 13; r = m + 8; m = w + 8; c = s + 10; b = 19; g = r + 19; f = b + 6; w = k + 20; t = b + 11. If b = 19, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = y + 8 to x, which gives x = y + 21.\n2. Substitute y = c + 12 to x, which gives x = c + 33.\n3. Substitute c = s + 10 to x, which gives x = s + 43.\n4. Substitute s = t + 4 to x, which gives x = t + 47.\n5. Substitute t = b + 11 to x, which gives x = b + 58.\n6. Substitute b = 19 to x, which gives x = 77.\n\nThus, the final answer is x = \\boxed{77}.",
"index": 2038,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = d + 13; d = y + 8; y = c + 12; s = t + 4; k = f + 13; r = m + 8; m = w + 8; c = s + 10; b = 19; g = r + 19; f = b + 6; w = k + 20; t = b + 11. If b = 19, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"y": "o + 15", "n": "y + 7", "v": "n + 20", "m": "v + 4", "j": "m + 17", "d": "j + 7", "s": "o + 8", "w": "s + 12", "r": "w + 7", "c": "r + 11", "a": "c + 20", "b": "a + 15", "o": 6}, "premises": {"o": 6}, "target": "d"}, "answer": {"steps": [["j", "m + 17", "m + 24"], ["m", "v + 4", "v + 28"], ["v", "n + 20", "n + 48"], ["n", "y + 7", "y + 55"], ["y", "o + 15", "o + 70"], ["o", 6, "76"]], "target_var_name": "d", "target_value": 76, "value_dict": {"o": 6}, "is_reverse": true}}
| 2,039
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = m + 17; c = r + 11; y = o + 15; r = w + 7; v = n + 20; a = c + 20; n = y + 7; m = v + 4; s = o + 8; w = s + 12; b = a + 15; o = 6; d = j + 7. If o = 6, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = m + 17 to d, which gives d = m + 24.\n2. Substitute m = v + 4 to d, which gives d = v + 28.\n3. Substitute v = n + 20 to d, which gives d = n + 48.\n4. Substitute n = y + 7 to d, which gives d = y + 55.\n5. Substitute y = o + 15 to d, which gives d = o + 70.\n6. Substitute o = 6 to d, which gives d = 76.\n\nThus, the final answer is d = \\boxed{76}.",
"index": 2039,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = m + 17; c = r + 11; y = o + 15; r = w + 7; v = n + 20; a = c + 20; n = y + 7; m = v + 4; s = o + 8; w = s + 12; b = a + 15; o = 6; d = j + 7. If o = 6, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"g": "m + 7", "c": "g + 14", "z": "c + 6", "r": "z + 5", "v": "r + 8", "e": "v + 5", "k": "m + 8", "a": "k + 3", "w": "a + 17", "d": "w + 9", "l": "d + 17", "h": "l + 12", "m": 3}, "premises": {"m": 3}, "target": "e"}, "answer": {"steps": [["v", "r + 8", "r + 13"], ["r", "z + 5", "z + 18"], ["z", "c + 6", "c + 24"], ["c", "g + 14", "g + 38"], ["g", "m + 7", "m + 45"], ["m", 3, "48"]], "target_var_name": "e", "target_value": 48, "value_dict": {"m": 3}, "is_reverse": true}}
| 2,040
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = 3; k = m + 8; z = c + 6; d = w + 9; a = k + 3; c = g + 14; l = d + 17; g = m + 7; w = a + 17; r = z + 5; h = l + 12; e = v + 5; v = r + 8. Given that m = 3, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 48,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = r + 8 to e, which gives e = r + 13.\n2. Substitute r = z + 5 to e, which gives e = z + 18.\n3. Substitute z = c + 6 to e, which gives e = c + 24.\n4. Substitute c = g + 14 to e, which gives e = g + 38.\n5. Substitute g = m + 7 to e, which gives e = m + 45.\n6. Substitute m = 3 to e, which gives e = 48.\n\nThus, the final answer is e = \\boxed{48}.",
"index": 2040,
"question": "Suppose a collection of variables is related by the following definitions: m = 3; k = m + 8; z = c + 6; d = w + 9; a = k + 3; c = g + 14; l = d + 17; g = m + 7; w = a + 17; r = z + 5; h = l + 12; e = v + 5; v = r + 8. Given that m = 3, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"t": "q + 6", "p": "t + 6", "a": "p + 16", "e": "a + 9", "s": "e + 4", "o": "s + 9", "r": "q + 15", "c": "r + 11", "i": "c + 15", "f": "i + 14", "m": "f + 10", "d": "m + 1", "q": 14}, "premises": {"q": 14}, "target": "o"}, "answer": {"steps": [["s", "e + 4", "e + 13"], ["e", "a + 9", "a + 22"], ["a", "p + 16", "p + 38"], ["p", "t + 6", "t + 44"], ["t", "q + 6", "q + 50"], ["q", 14, "64"]], "target_var_name": "o", "target_value": 64, "value_dict": {"q": 14}, "is_reverse": true}}
| 2,041
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = e + 4; m = f + 10; p = t + 6; i = c + 15; o = s + 9; a = p + 16; t = q + 6; c = r + 11; q = 14; d = m + 1; e = a + 9; f = i + 14; r = q + 15. If q = 14, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = e + 4 to o, which gives o = e + 13.\n2. Substitute e = a + 9 to o, which gives o = a + 22.\n3. Substitute a = p + 16 to o, which gives o = p + 38.\n4. Substitute p = t + 6 to o, which gives o = t + 44.\n5. Substitute t = q + 6 to o, which gives o = q + 50.\n6. Substitute q = 14 to o, which gives o = 64.\n\nThus, the final answer is o = \\boxed{64}.",
"index": 2041,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = e + 4; m = f + 10; p = t + 6; i = c + 15; o = s + 9; a = p + 16; t = q + 6; c = r + 11; q = 14; d = m + 1; e = a + 9; f = i + 14; r = q + 15. If q = 14, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"d": "t + 3", "z": "d + 17", "s": "z + 9", "w": "s + 7", "n": "w + 18", "v": "n + 20", "r": "t + 14", "g": "r + 14", "o": "g + 6", "c": "o + 11", "p": "c + 11", "u": "p + 10", "t": 2}, "premises": {"t": 2}, "target": "v"}, "answer": {"steps": [["n", "w + 18", "w + 38"], ["w", "s + 7", "s + 45"], ["s", "z + 9", "z + 54"], ["z", "d + 17", "d + 71"], ["d", "t + 3", "t + 74"], ["t", 2, "76"]], "target_var_name": "v", "target_value": 76, "value_dict": {"t": 2}, "is_reverse": true}}
| 2,042
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = d + 17; d = t + 3; w = s + 7; s = z + 9; t = 2; p = c + 11; c = o + 11; v = n + 20; o = g + 6; u = p + 10; r = t + 14; g = r + 14; n = w + 18. If t = 2, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = w + 18 to v, which gives v = w + 38.\n2. Substitute w = s + 7 to v, which gives v = s + 45.\n3. Substitute s = z + 9 to v, which gives v = z + 54.\n4. Substitute z = d + 17 to v, which gives v = d + 71.\n5. Substitute d = t + 3 to v, which gives v = t + 74.\n6. Substitute t = 2 to v, which gives v = 76.\n\nThus, the final answer is v = \\boxed{76}.",
"index": 2042,
"question": "Consider a system of variables where each variable is defined as follows: z = d + 17; d = t + 3; w = s + 7; s = z + 9; t = 2; p = c + 11; c = o + 11; v = n + 20; o = g + 6; u = p + 10; r = t + 14; g = r + 14; n = w + 18. If t = 2, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"r": "o + 2", "p": "r + 12", "h": "p + 17", "l": "h + 20", "u": "l + 8", "c": "u + 2", "j": "o + 20", "f": "j + 8", "g": "f + 1", "a": "g + 20", "b": "a + 8", "k": "b + 4", "o": 16}, "premises": {"o": 16}, "target": "c"}, "answer": {"steps": [["u", "l + 8", "l + 10"], ["l", "h + 20", "h + 30"], ["h", "p + 17", "p + 47"], ["p", "r + 12", "r + 59"], ["r", "o + 2", "o + 61"], ["o", 16, "77"]], "target_var_name": "c", "target_value": 77, "value_dict": {"o": 16}, "is_reverse": true}}
| 2,043
| 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 = b + 4; h = p + 17; o = 16; l = h + 20; r = o + 2; a = g + 20; u = l + 8; j = o + 20; c = u + 2; f = j + 8; p = r + 12; b = a + 8; g = f + 1. If o = 16, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = l + 8 to c, which gives c = l + 10.\n2. Substitute l = h + 20 to c, which gives c = h + 30.\n3. Substitute h = p + 17 to c, which gives c = p + 47.\n4. Substitute p = r + 12 to c, which gives c = r + 59.\n5. Substitute r = o + 2 to c, which gives c = o + 61.\n6. Substitute o = 16 to c, which gives c = 77.\n\nThus, the final answer is c = \\boxed{77}.",
"index": 2043,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = b + 4; h = p + 17; o = 16; l = h + 20; r = o + 2; a = g + 20; u = l + 8; j = o + 20; c = u + 2; f = j + 8; p = r + 12; b = a + 8; g = f + 1. If o = 16, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"j": "u + 7", "r": "j + 15", "p": "r + 7", "w": "p + 6", "q": "w + 4", "n": "q + 17", "h": "u + 15", "a": "h + 13", "m": "a + 4", "l": "m + 6", "k": "l + 20", "s": "k + 4", "u": 16}, "premises": {"u": 16}, "target": "n"}, "answer": {"steps": [["q", "w + 4", "w + 21"], ["w", "p + 6", "p + 27"], ["p", "r + 7", "r + 34"], ["r", "j + 15", "j + 49"], ["j", "u + 7", "u + 56"], ["u", 16, "72"]], "target_var_name": "n", "target_value": 72, "value_dict": {"u": 16}, "is_reverse": true}}
| 2,044
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = r + 7; n = q + 17; r = j + 15; w = p + 6; m = a + 4; k = l + 20; h = u + 15; l = m + 6; s = k + 4; a = h + 13; j = u + 7; u = 16; q = w + 4. If u = 16, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = w + 4 to n, which gives n = w + 21.\n2. Substitute w = p + 6 to n, which gives n = p + 27.\n3. Substitute p = r + 7 to n, which gives n = r + 34.\n4. Substitute r = j + 15 to n, which gives n = j + 49.\n5. Substitute j = u + 7 to n, which gives n = u + 56.\n6. Substitute u = 16 to n, which gives n = 72.\n\nThus, the final answer is n = \\boxed{72}.",
"index": 2044,
"question": "Consider a system of variables where each variable is defined as follows: p = r + 7; n = q + 17; r = j + 15; w = p + 6; m = a + 4; k = l + 20; h = u + 15; l = m + 6; s = k + 4; a = h + 13; j = u + 7; u = 16; q = w + 4. If u = 16, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"m": "h + 5", "q": "m + 18", "i": "q + 10", "g": "i + 16", "r": "g + 20", "k": "r + 2", "e": "h + 18", "p": "e + 13", "s": "p + 18", "z": "s + 18", "v": "z + 3", "d": "v + 19", "h": 5}, "premises": {"h": 5}, "target": "k"}, "answer": {"steps": [["r", "g + 20", "g + 22"], ["g", "i + 16", "i + 38"], ["i", "q + 10", "q + 48"], ["q", "m + 18", "m + 66"], ["m", "h + 5", "h + 71"], ["h", 5, "76"]], "target_var_name": "k", "target_value": 76, "value_dict": {"h": 5}, "is_reverse": true}}
| 2,045
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = g + 20; d = v + 19; m = h + 5; s = p + 18; k = r + 2; i = q + 10; e = h + 18; p = e + 13; z = s + 18; h = 5; q = m + 18; g = i + 16; v = z + 3. If h = 5, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = g + 20 to k, which gives k = g + 22.\n2. Substitute g = i + 16 to k, which gives k = i + 38.\n3. Substitute i = q + 10 to k, which gives k = q + 48.\n4. Substitute q = m + 18 to k, which gives k = m + 66.\n5. Substitute m = h + 5 to k, which gives k = h + 71.\n6. Substitute h = 5 to k, which gives k = 76.\n\nThus, the final answer is k = \\boxed{76}.",
"index": 2045,
"question": "Consider a system of variables where each variable is defined as follows: r = g + 20; d = v + 19; m = h + 5; s = p + 18; k = r + 2; i = q + 10; e = h + 18; p = e + 13; z = s + 18; h = 5; q = m + 18; g = i + 16; v = z + 3. If h = 5, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"j": "m + 8", "e": "j + 12", "u": "e + 20", "q": "u + 3", "x": "q + 17", "b": "x + 10", "h": "m + 19", "z": "h + 5", "c": "z + 18", "w": "c + 17", "d": "w + 9", "v": "d + 2", "m": 12}, "premises": {"m": 12}, "target": "b"}, "answer": {"steps": [["x", "q + 17", "q + 27"], ["q", "u + 3", "u + 30"], ["u", "e + 20", "e + 50"], ["e", "j + 12", "j + 62"], ["j", "m + 8", "m + 70"], ["m", 12, "82"]], "target_var_name": "b", "target_value": 82, "value_dict": {"m": 12}, "is_reverse": true}}
| 2,046
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = m + 8; v = d + 2; e = j + 12; h = m + 19; b = x + 10; c = z + 18; d = w + 9; m = 12; w = c + 17; x = q + 17; u = e + 20; q = u + 3; z = h + 5. Given that m = 12, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = q + 17 to b, which gives b = q + 27.\n2. Substitute q = u + 3 to b, which gives b = u + 30.\n3. Substitute u = e + 20 to b, which gives b = e + 50.\n4. Substitute e = j + 12 to b, which gives b = j + 62.\n5. Substitute j = m + 8 to b, which gives b = m + 70.\n6. Substitute m = 12 to b, which gives b = 82.\n\nThus, the final answer is b = \\boxed{82}.",
"index": 2046,
"question": "Suppose a collection of variables is related by the following definitions: j = m + 8; v = d + 2; e = j + 12; h = m + 19; b = x + 10; c = z + 18; d = w + 9; m = 12; w = c + 17; x = q + 17; u = e + 20; q = u + 3; z = h + 5. Given that m = 12, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"f": "e + 7", "q": "f + 4", "h": "q + 1", "c": "h + 17", "w": "c + 14", "a": "w + 11", "g": "e + 6", "d": "g + 14", "k": "d + 2", "m": "k + 5", "t": "m + 19", "o": "t + 20", "e": 14}, "premises": {"e": 14}, "target": "a"}, "answer": {"steps": [["w", "c + 14", "c + 25"], ["c", "h + 17", "h + 42"], ["h", "q + 1", "q + 43"], ["q", "f + 4", "f + 47"], ["f", "e + 7", "e + 54"], ["e", 14, "68"]], "target_var_name": "a", "target_value": 68, "value_dict": {"e": 14}, "is_reverse": true}}
| 2,047
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = f + 4; o = t + 20; k = d + 2; e = 14; f = e + 7; h = q + 1; a = w + 11; g = e + 6; c = h + 17; t = m + 19; w = c + 14; m = k + 5; d = g + 14. If e = 14, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = c + 14 to a, which gives a = c + 25.\n2. Substitute c = h + 17 to a, which gives a = h + 42.\n3. Substitute h = q + 1 to a, which gives a = q + 43.\n4. Substitute q = f + 4 to a, which gives a = f + 47.\n5. Substitute f = e + 7 to a, which gives a = e + 54.\n6. Substitute e = 14 to a, which gives a = 68.\n\nThus, the final answer is a = \\boxed{68}.",
"index": 2047,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = f + 4; o = t + 20; k = d + 2; e = 14; f = e + 7; h = q + 1; a = w + 11; g = e + 6; c = h + 17; t = m + 19; w = c + 14; m = k + 5; d = g + 14. If e = 14, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"f": "z + 11", "i": "f + 18", "b": "i + 17", "x": "b + 18", "k": "x + 3", "e": "k + 17", "c": "z + 4", "r": "c + 2", "d": "r + 14", "h": "d + 18", "n": "h + 13", "q": "n + 4", "z": 13}, "premises": {"z": 13}, "target": "e"}, "answer": {"steps": [["k", "x + 3", "x + 20"], ["x", "b + 18", "b + 38"], ["b", "i + 17", "i + 55"], ["i", "f + 18", "f + 73"], ["f", "z + 11", "z + 84"], ["z", 13, "97"]], "target_var_name": "e", "target_value": 97, "value_dict": {"z": 13}, "is_reverse": true}}
| 2,048
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = x + 3; b = i + 17; c = z + 4; r = c + 2; f = z + 11; h = d + 18; n = h + 13; z = 13; e = k + 17; d = r + 14; x = b + 18; i = f + 18; q = n + 4. If z = 13, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 97,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = x + 3 to e, which gives e = x + 20.\n2. Substitute x = b + 18 to e, which gives e = b + 38.\n3. Substitute b = i + 17 to e, which gives e = i + 55.\n4. Substitute i = f + 18 to e, which gives e = f + 73.\n5. Substitute f = z + 11 to e, which gives e = z + 84.\n6. Substitute z = 13 to e, which gives e = 97.\n\nThus, the final answer is e = \\boxed{97}.",
"index": 2048,
"question": "Consider a system of variables where each variable is defined as follows: k = x + 3; b = i + 17; c = z + 4; r = c + 2; f = z + 11; h = d + 18; n = h + 13; z = 13; e = k + 17; d = r + 14; x = b + 18; i = f + 18; q = n + 4. If z = 13, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"z": "i + 13", "h": "z + 8", "y": "h + 2", "r": "y + 8", "a": "r + 9", "l": "a + 3", "m": "i + 7", "j": "m + 14", "u": "j + 16", "k": "u + 5", "w": "k + 12", "c": "w + 7", "i": 15}, "premises": {"i": 15}, "target": "l"}, "answer": {"steps": [["a", "r + 9", "r + 12"], ["r", "y + 8", "y + 20"], ["y", "h + 2", "h + 22"], ["h", "z + 8", "z + 30"], ["z", "i + 13", "i + 43"], ["i", 15, "58"]], "target_var_name": "l", "target_value": 58, "value_dict": {"i": 15}, "is_reverse": true}}
| 2,049
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = y + 8; l = a + 3; h = z + 8; k = u + 5; j = m + 14; m = i + 7; a = r + 9; c = w + 7; y = h + 2; u = j + 16; w = k + 12; z = i + 13; i = 15. Given that i = 15, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = r + 9 to l, which gives l = r + 12.\n2. Substitute r = y + 8 to l, which gives l = y + 20.\n3. Substitute y = h + 2 to l, which gives l = h + 22.\n4. Substitute h = z + 8 to l, which gives l = z + 30.\n5. Substitute z = i + 13 to l, which gives l = i + 43.\n6. Substitute i = 15 to l, which gives l = 58.\n\nThus, the final answer is l = \\boxed{58}.",
"index": 2049,
"question": "Suppose a collection of variables is related by the following definitions: r = y + 8; l = a + 3; h = z + 8; k = u + 5; j = m + 14; m = i + 7; a = r + 9; c = w + 7; y = h + 2; u = j + 16; w = k + 12; z = i + 13; i = 15. Given that i = 15, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"b": "j + 1", "u": "b + 4", "s": "u + 3", "n": "s + 6", "o": "n + 8", "d": "o + 2", "c": "j + 12", "z": "c + 3", "y": "z + 18", "a": "y + 18", "m": "a + 8", "t": "m + 17", "j": 6}, "premises": {"j": 6}, "target": "d"}, "answer": {"steps": [["o", "n + 8", "n + 10"], ["n", "s + 6", "s + 16"], ["s", "u + 3", "u + 19"], ["u", "b + 4", "b + 23"], ["b", "j + 1", "j + 24"], ["j", 6, "30"]], "target_var_name": "d", "target_value": 30, "value_dict": {"j": 6}, "is_reverse": true}}
| 2,050
| 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 = o + 2; n = s + 6; t = m + 17; o = n + 8; y = z + 18; c = j + 12; s = u + 3; u = b + 4; b = j + 1; a = y + 18; m = a + 8; z = c + 3; j = 6. If j = 6, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 30,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = n + 8 to d, which gives d = n + 10.\n2. Substitute n = s + 6 to d, which gives d = s + 16.\n3. Substitute s = u + 3 to d, which gives d = u + 19.\n4. Substitute u = b + 4 to d, which gives d = b + 23.\n5. Substitute b = j + 1 to d, which gives d = j + 24.\n6. Substitute j = 6 to d, which gives d = 30.\n\nThus, the final answer is d = \\boxed{30}.",
"index": 2050,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = o + 2; n = s + 6; t = m + 17; o = n + 8; y = z + 18; c = j + 12; s = u + 3; u = b + 4; b = j + 1; a = y + 18; m = a + 8; z = c + 3; j = 6. If j = 6, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"g": "a + 2", "b": "g + 16", "w": "b + 17", "p": "w + 5", "n": "p + 11", "x": "n + 19", "r": "a + 18", "y": "r + 13", "l": "y + 2", "o": "l + 18", "f": "o + 14", "v": "f + 3", "a": 4}, "premises": {"a": 4}, "target": "x"}, "answer": {"steps": [["n", "p + 11", "p + 30"], ["p", "w + 5", "w + 35"], ["w", "b + 17", "b + 52"], ["b", "g + 16", "g + 68"], ["g", "a + 2", "a + 70"], ["a", 4, "74"]], "target_var_name": "x", "target_value": 74, "value_dict": {"a": 4}, "is_reverse": true}}
| 2,051
| 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 = y + 2; w = b + 17; x = n + 19; y = r + 13; o = l + 18; r = a + 18; n = p + 11; f = o + 14; g = a + 2; a = 4; p = w + 5; v = f + 3; b = g + 16. If a = 4, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = p + 11 to x, which gives x = p + 30.\n2. Substitute p = w + 5 to x, which gives x = w + 35.\n3. Substitute w = b + 17 to x, which gives x = b + 52.\n4. Substitute b = g + 16 to x, which gives x = g + 68.\n5. Substitute g = a + 2 to x, which gives x = a + 70.\n6. Substitute a = 4 to x, which gives x = 74.\n\nThus, the final answer is x = \\boxed{74}.",
"index": 2051,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = y + 2; w = b + 17; x = n + 19; y = r + 13; o = l + 18; r = a + 18; n = p + 11; f = o + 14; g = a + 2; a = 4; p = w + 5; v = f + 3; b = g + 16. If a = 4, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"f": "q + 7", "g": "f + 5", "s": "g + 8", "z": "s + 12", "d": "z + 16", "t": "d + 1", "b": "q + 16", "p": "b + 8", "k": "p + 2", "x": "k + 1", "l": "x + 13", "j": "l + 7", "q": 15}, "premises": {"q": 15}, "target": "t"}, "answer": {"steps": [["d", "z + 16", "z + 17"], ["z", "s + 12", "s + 29"], ["s", "g + 8", "g + 37"], ["g", "f + 5", "f + 42"], ["f", "q + 7", "q + 49"], ["q", 15, "64"]], "target_var_name": "t", "target_value": 64, "value_dict": {"q": 15}, "is_reverse": true}}
| 2,052
| 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 = k + 1; b = q + 16; k = p + 2; j = l + 7; t = d + 1; p = b + 8; q = 15; z = s + 12; f = q + 7; s = g + 8; d = z + 16; l = x + 13; g = f + 5. If q = 15, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = z + 16 to t, which gives t = z + 17.\n2. Substitute z = s + 12 to t, which gives t = s + 29.\n3. Substitute s = g + 8 to t, which gives t = g + 37.\n4. Substitute g = f + 5 to t, which gives t = f + 42.\n5. Substitute f = q + 7 to t, which gives t = q + 49.\n6. Substitute q = 15 to t, which gives t = 64.\n\nThus, the final answer is t = \\boxed{64}.",
"index": 2052,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = k + 1; b = q + 16; k = p + 2; j = l + 7; t = d + 1; p = b + 8; q = 15; z = s + 12; f = q + 7; s = g + 8; d = z + 16; l = x + 13; g = f + 5. If q = 15, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"k": "w + 14", "o": "k + 9", "q": "o + 18", "n": "q + 12", "a": "n + 8", "j": "a + 1", "m": "w + 6", "i": "m + 16", "x": "i + 1", "r": "x + 13", "u": "r + 17", "z": "u + 3", "w": 4}, "premises": {"w": 4}, "target": "j"}, "answer": {"steps": [["a", "n + 8", "n + 9"], ["n", "q + 12", "q + 21"], ["q", "o + 18", "o + 39"], ["o", "k + 9", "k + 48"], ["k", "w + 14", "w + 62"], ["w", 4, "66"]], "target_var_name": "j", "target_value": 66, "value_dict": {"w": 4}, "is_reverse": true}}
| 2,053
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = w + 14; z = u + 3; u = r + 17; a = n + 8; i = m + 16; q = o + 18; n = q + 12; m = w + 6; r = x + 13; o = k + 9; x = i + 1; j = a + 1; w = 4. If w = 4, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = n + 8 to j, which gives j = n + 9.\n2. Substitute n = q + 12 to j, which gives j = q + 21.\n3. Substitute q = o + 18 to j, which gives j = o + 39.\n4. Substitute o = k + 9 to j, which gives j = k + 48.\n5. Substitute k = w + 14 to j, which gives j = w + 62.\n6. Substitute w = 4 to j, which gives j = 66.\n\nThus, the final answer is j = \\boxed{66}.",
"index": 2053,
"question": "Consider a system of variables where each variable is defined as follows: k = w + 14; z = u + 3; u = r + 17; a = n + 8; i = m + 16; q = o + 18; n = q + 12; m = w + 6; r = x + 13; o = k + 9; x = i + 1; j = a + 1; w = 4. If w = 4, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"a": "x + 15", "z": "a + 1", "g": "z + 13", "u": "g + 15", "w": "u + 3", "l": "w + 1", "s": "x + 15", "q": "s + 15", "o": "q + 10", "h": "o + 16", "k": "h + 17", "i": "k + 10", "x": 18}, "premises": {"x": 18}, "target": "l"}, "answer": {"steps": [["w", "u + 3", "u + 4"], ["u", "g + 15", "g + 19"], ["g", "z + 13", "z + 32"], ["z", "a + 1", "a + 33"], ["a", "x + 15", "x + 48"], ["x", 18, "66"]], "target_var_name": "l", "target_value": 66, "value_dict": {"x": 18}, "is_reverse": true}}
| 2,054
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = h + 17; o = q + 10; q = s + 15; u = g + 15; i = k + 10; s = x + 15; w = u + 3; x = 18; z = a + 1; l = w + 1; g = z + 13; a = x + 15; h = o + 16. If x = 18, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = u + 3 to l, which gives l = u + 4.\n2. Substitute u = g + 15 to l, which gives l = g + 19.\n3. Substitute g = z + 13 to l, which gives l = z + 32.\n4. Substitute z = a + 1 to l, which gives l = a + 33.\n5. Substitute a = x + 15 to l, which gives l = x + 48.\n6. Substitute x = 18 to l, which gives l = 66.\n\nThus, the final answer is l = \\boxed{66}.",
"index": 2054,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = h + 17; o = q + 10; q = s + 15; u = g + 15; i = k + 10; s = x + 15; w = u + 3; x = 18; z = a + 1; l = w + 1; g = z + 13; a = x + 15; h = o + 16. If x = 18, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"w": "i + 3", "q": "w + 17", "r": "q + 16", "s": "r + 20", "p": "s + 4", "m": "p + 15", "l": "i + 3", "b": "l + 7", "j": "b + 18", "k": "j + 10", "e": "k + 10", "g": "e + 20", "i": 7}, "premises": {"i": 7}, "target": "m"}, "answer": {"steps": [["p", "s + 4", "s + 19"], ["s", "r + 20", "r + 39"], ["r", "q + 16", "q + 55"], ["q", "w + 17", "w + 72"], ["w", "i + 3", "i + 75"], ["i", 7, "82"]], "target_var_name": "m", "target_value": 82, "value_dict": {"i": 7}, "is_reverse": true}}
| 2,055
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = s + 4; w = i + 3; r = q + 16; i = 7; g = e + 20; k = j + 10; b = l + 7; q = w + 17; e = k + 10; j = b + 18; m = p + 15; s = r + 20; l = i + 3. Given that i = 7, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = s + 4 to m, which gives m = s + 19.\n2. Substitute s = r + 20 to m, which gives m = r + 39.\n3. Substitute r = q + 16 to m, which gives m = q + 55.\n4. Substitute q = w + 17 to m, which gives m = w + 72.\n5. Substitute w = i + 3 to m, which gives m = i + 75.\n6. Substitute i = 7 to m, which gives m = 82.\n\nThus, the final answer is m = \\boxed{82}.",
"index": 2055,
"question": "Suppose a collection of variables is related by the following definitions: p = s + 4; w = i + 3; r = q + 16; i = 7; g = e + 20; k = j + 10; b = l + 7; q = w + 17; e = k + 10; j = b + 18; m = p + 15; s = r + 20; l = i + 3. Given that i = 7, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"s": "b + 19", "p": "s + 3", "i": "p + 9", "t": "i + 3", "v": "t + 9", "m": "v + 14", "x": "b + 8", "u": "x + 9", "c": "u + 9", "f": "c + 10", "q": "f + 13", "g": "q + 6", "b": 11}, "premises": {"b": 11}, "target": "m"}, "answer": {"steps": [["v", "t + 9", "t + 23"], ["t", "i + 3", "i + 26"], ["i", "p + 9", "p + 35"], ["p", "s + 3", "s + 38"], ["s", "b + 19", "b + 57"], ["b", 11, "68"]], "target_var_name": "m", "target_value": 68, "value_dict": {"b": 11}, "is_reverse": true}}
| 2,056
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = i + 3; u = x + 9; v = t + 9; c = u + 9; i = p + 9; b = 11; s = b + 19; m = v + 14; f = c + 10; q = f + 13; x = b + 8; p = s + 3; g = q + 6. Given that b = 11, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = t + 9 to m, which gives m = t + 23.\n2. Substitute t = i + 3 to m, which gives m = i + 26.\n3. Substitute i = p + 9 to m, which gives m = p + 35.\n4. Substitute p = s + 3 to m, which gives m = s + 38.\n5. Substitute s = b + 19 to m, which gives m = b + 57.\n6. Substitute b = 11 to m, which gives m = 68.\n\nThus, the final answer is m = \\boxed{68}.",
"index": 2056,
"question": "Suppose a collection of variables is related by the following definitions: t = i + 3; u = x + 9; v = t + 9; c = u + 9; i = p + 9; b = 11; s = b + 19; m = v + 14; f = c + 10; q = f + 13; x = b + 8; p = s + 3; g = q + 6. Given that b = 11, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"e": "x + 20", "a": "e + 8", "y": "a + 10", "j": "y + 9", "m": "j + 10", "r": "m + 20", "c": "x + 13", "p": "c + 15", "w": "p + 16", "v": "w + 11", "f": "v + 5", "n": "f + 3", "x": 16}, "premises": {"x": 16}, "target": "r"}, "answer": {"steps": [["m", "j + 10", "j + 30"], ["j", "y + 9", "y + 39"], ["y", "a + 10", "a + 49"], ["a", "e + 8", "e + 57"], ["e", "x + 20", "x + 77"], ["x", 16, "93"]], "target_var_name": "r", "target_value": 93, "value_dict": {"x": 16}, "is_reverse": true}}
| 2,057
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = f + 3; y = a + 10; j = y + 9; f = v + 5; a = e + 8; c = x + 13; x = 16; w = p + 16; v = w + 11; r = m + 20; p = c + 15; m = j + 10; e = x + 20. If x = 16, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = j + 10 to r, which gives r = j + 30.\n2. Substitute j = y + 9 to r, which gives r = y + 39.\n3. Substitute y = a + 10 to r, which gives r = a + 49.\n4. Substitute a = e + 8 to r, which gives r = e + 57.\n5. Substitute e = x + 20 to r, which gives r = x + 77.\n6. Substitute x = 16 to r, which gives r = 93.\n\nThus, the final answer is r = \\boxed{93}.",
"index": 2057,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = f + 3; y = a + 10; j = y + 9; f = v + 5; a = e + 8; c = x + 13; x = 16; w = p + 16; v = w + 11; r = m + 20; p = c + 15; m = j + 10; e = x + 20. If x = 16, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"g": "t + 20", "p": "g + 20", "i": "p + 10", "v": "i + 16", "c": "v + 10", "b": "c + 14", "j": "t + 7", "k": "j + 13", "o": "k + 16", "l": "o + 13", "m": "l + 9", "w": "m + 13", "t": 16}, "premises": {"t": 16}, "target": "b"}, "answer": {"steps": [["c", "v + 10", "v + 24"], ["v", "i + 16", "i + 40"], ["i", "p + 10", "p + 50"], ["p", "g + 20", "g + 70"], ["g", "t + 20", "t + 90"], ["t", 16, "106"]], "target_var_name": "b", "target_value": 106, "value_dict": {"t": 16}, "is_reverse": true}}
| 2,058
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = i + 16; w = m + 13; b = c + 14; l = o + 13; c = v + 10; m = l + 9; j = t + 7; k = j + 13; i = p + 10; g = t + 20; p = g + 20; o = k + 16; t = 16. Given that t = 16, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 106,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = v + 10 to b, which gives b = v + 24.\n2. Substitute v = i + 16 to b, which gives b = i + 40.\n3. Substitute i = p + 10 to b, which gives b = p + 50.\n4. Substitute p = g + 20 to b, which gives b = g + 70.\n5. Substitute g = t + 20 to b, which gives b = t + 90.\n6. Substitute t = 16 to b, which gives b = 106.\n\nThus, the final answer is b = \\boxed{106}.",
"index": 2058,
"question": "Suppose a collection of variables is related by the following definitions: v = i + 16; w = m + 13; b = c + 14; l = o + 13; c = v + 10; m = l + 9; j = t + 7; k = j + 13; i = p + 10; g = t + 20; p = g + 20; o = k + 16; t = 16. Given that t = 16, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"r": "f + 14", "w": "r + 14", "p": "w + 18", "k": "p + 2", "c": "k + 15", "i": "c + 17", "a": "f + 3", "h": "a + 14", "y": "h + 11", "l": "y + 16", "b": "l + 13", "t": "b + 6", "f": 4}, "premises": {"f": 4}, "target": "i"}, "answer": {"steps": [["c", "k + 15", "k + 32"], ["k", "p + 2", "p + 34"], ["p", "w + 18", "w + 52"], ["w", "r + 14", "r + 66"], ["r", "f + 14", "f + 80"], ["f", 4, "84"]], "target_var_name": "i", "target_value": 84, "value_dict": {"f": 4}, "is_reverse": true}}
| 2,059
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = k + 15; i = c + 17; f = 4; y = h + 11; k = p + 2; w = r + 14; h = a + 14; a = f + 3; p = w + 18; r = f + 14; t = b + 6; l = y + 16; b = l + 13. If f = 4, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = k + 15 to i, which gives i = k + 32.\n2. Substitute k = p + 2 to i, which gives i = p + 34.\n3. Substitute p = w + 18 to i, which gives i = w + 52.\n4. Substitute w = r + 14 to i, which gives i = r + 66.\n5. Substitute r = f + 14 to i, which gives i = f + 80.\n6. Substitute f = 4 to i, which gives i = 84.\n\nThus, the final answer is i = \\boxed{84}.",
"index": 2059,
"question": "Consider a system of variables where each variable is defined as follows: c = k + 15; i = c + 17; f = 4; y = h + 11; k = p + 2; w = r + 14; h = a + 14; a = f + 3; p = w + 18; r = f + 14; t = b + 6; l = y + 16; b = l + 13. If f = 4, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"h": "d + 8", "w": "h + 8", "o": "w + 8", "f": "o + 16", "r": "f + 7", "m": "r + 12", "i": "d + 8", "z": "i + 16", "x": "z + 1", "j": "x + 5", "v": "j + 12", "q": "v + 5", "d": 19}, "premises": {"d": 19}, "target": "m"}, "answer": {"steps": [["r", "f + 7", "f + 19"], ["f", "o + 16", "o + 35"], ["o", "w + 8", "w + 43"], ["w", "h + 8", "h + 51"], ["h", "d + 8", "d + 59"], ["d", 19, "78"]], "target_var_name": "m", "target_value": 78, "value_dict": {"d": 19}, "is_reverse": true}}
| 2,060
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = r + 12; f = o + 16; h = d + 8; z = i + 16; j = x + 5; x = z + 1; i = d + 8; r = f + 7; q = v + 5; v = j + 12; w = h + 8; d = 19; o = w + 8. Given that d = 19, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = f + 7 to m, which gives m = f + 19.\n2. Substitute f = o + 16 to m, which gives m = o + 35.\n3. Substitute o = w + 8 to m, which gives m = w + 43.\n4. Substitute w = h + 8 to m, which gives m = h + 51.\n5. Substitute h = d + 8 to m, which gives m = d + 59.\n6. Substitute d = 19 to m, which gives m = 78.\n\nThus, the final answer is m = \\boxed{78}.",
"index": 2060,
"question": "Suppose a collection of variables is related by the following definitions: m = r + 12; f = o + 16; h = d + 8; z = i + 16; j = x + 5; x = z + 1; i = d + 8; r = f + 7; q = v + 5; v = j + 12; w = h + 8; d = 19; o = w + 8. Given that d = 19, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"f": "l + 4", "p": "f + 11", "a": "p + 4", "u": "a + 6", "v": "u + 11", "j": "v + 19", "b": "l + 19", "r": "b + 16", "c": "r + 14", "e": "c + 15", "i": "e + 10", "m": "i + 11", "l": 11}, "premises": {"l": 11}, "target": "j"}, "answer": {"steps": [["v", "u + 11", "u + 30"], ["u", "a + 6", "a + 36"], ["a", "p + 4", "p + 40"], ["p", "f + 11", "f + 51"], ["f", "l + 4", "l + 55"], ["l", 11, "66"]], "target_var_name": "j", "target_value": 66, "value_dict": {"l": 11}, "is_reverse": true}}
| 2,061
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = e + 10; c = r + 14; a = p + 4; j = v + 19; f = l + 4; b = l + 19; l = 11; r = b + 16; p = f + 11; u = a + 6; e = c + 15; v = u + 11; m = i + 11. Given that l = 11, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = u + 11 to j, which gives j = u + 30.\n2. Substitute u = a + 6 to j, which gives j = a + 36.\n3. Substitute a = p + 4 to j, which gives j = p + 40.\n4. Substitute p = f + 11 to j, which gives j = f + 51.\n5. Substitute f = l + 4 to j, which gives j = l + 55.\n6. Substitute l = 11 to j, which gives j = 66.\n\nThus, the final answer is j = \\boxed{66}.",
"index": 2061,
"question": "Suppose a collection of variables is related by the following definitions: i = e + 10; c = r + 14; a = p + 4; j = v + 19; f = l + 4; b = l + 19; l = 11; r = b + 16; p = f + 11; u = a + 6; e = c + 15; v = u + 11; m = i + 11. Given that l = 11, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"h": "p + 14", "k": "h + 17", "g": "k + 7", "r": "g + 17", "m": "r + 13", "n": "m + 11", "j": "p + 14", "u": "j + 2", "a": "u + 14", "l": "a + 9", "c": "l + 20", "d": "c + 11", "p": 3}, "premises": {"p": 3}, "target": "n"}, "answer": {"steps": [["m", "r + 13", "r + 24"], ["r", "g + 17", "g + 41"], ["g", "k + 7", "k + 48"], ["k", "h + 17", "h + 65"], ["h", "p + 14", "p + 79"], ["p", 3, "82"]], "target_var_name": "n", "target_value": 82, "value_dict": {"p": 3}, "is_reverse": true}}
| 2,062
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = r + 13; d = c + 11; h = p + 14; l = a + 9; r = g + 17; c = l + 20; g = k + 7; a = u + 14; u = j + 2; k = h + 17; n = m + 11; p = 3; j = p + 14. If p = 3, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = r + 13 to n, which gives n = r + 24.\n2. Substitute r = g + 17 to n, which gives n = g + 41.\n3. Substitute g = k + 7 to n, which gives n = k + 48.\n4. Substitute k = h + 17 to n, which gives n = h + 65.\n5. Substitute h = p + 14 to n, which gives n = p + 79.\n6. Substitute p = 3 to n, which gives n = 82.\n\nThus, the final answer is n = \\boxed{82}.",
"index": 2062,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = r + 13; d = c + 11; h = p + 14; l = a + 9; r = g + 17; c = l + 20; g = k + 7; a = u + 14; u = j + 2; k = h + 17; n = m + 11; p = 3; j = p + 14. If p = 3, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"q": "o + 7", "x": "q + 12", "g": "x + 8", "t": "g + 19", "w": "t + 10", "c": "w + 16", "i": "o + 19", "e": "i + 16", "p": "e + 16", "y": "p + 3", "m": "y + 2", "f": "m + 12", "o": 13}, "premises": {"o": 13}, "target": "c"}, "answer": {"steps": [["w", "t + 10", "t + 26"], ["t", "g + 19", "g + 45"], ["g", "x + 8", "x + 53"], ["x", "q + 12", "q + 65"], ["q", "o + 7", "o + 72"], ["o", 13, "85"]], "target_var_name": "c", "target_value": 85, "value_dict": {"o": 13}, "is_reverse": true}}
| 2,063
| 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 = q + 12; e = i + 16; f = m + 12; t = g + 19; c = w + 16; m = y + 2; p = e + 16; g = x + 8; q = o + 7; i = o + 19; o = 13; y = p + 3; w = t + 10. If o = 13, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = t + 10 to c, which gives c = t + 26.\n2. Substitute t = g + 19 to c, which gives c = g + 45.\n3. Substitute g = x + 8 to c, which gives c = x + 53.\n4. Substitute x = q + 12 to c, which gives c = q + 65.\n5. Substitute q = o + 7 to c, which gives c = o + 72.\n6. Substitute o = 13 to c, which gives c = 85.\n\nThus, the final answer is c = \\boxed{85}.",
"index": 2063,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = q + 12; e = i + 16; f = m + 12; t = g + 19; c = w + 16; m = y + 2; p = e + 16; g = x + 8; q = o + 7; i = o + 19; o = 13; y = p + 3; w = t + 10. If o = 13, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"t": "y + 1", "z": "t + 13", "m": "z + 14", "o": "m + 19", "n": "o + 2", "b": "n + 6", "v": "y + 17", "x": "v + 10", "a": "x + 1", "u": "a + 13", "r": "u + 2", "q": "r + 3", "y": 10}, "premises": {"y": 10}, "target": "b"}, "answer": {"steps": [["n", "o + 2", "o + 8"], ["o", "m + 19", "m + 27"], ["m", "z + 14", "z + 41"], ["z", "t + 13", "t + 54"], ["t", "y + 1", "y + 55"], ["y", 10, "65"]], "target_var_name": "b", "target_value": 65, "value_dict": {"y": 10}, "is_reverse": true}}
| 2,064
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = m + 19; t = y + 1; v = y + 17; r = u + 2; x = v + 10; y = 10; q = r + 3; b = n + 6; z = t + 13; u = a + 13; a = x + 1; n = o + 2; m = z + 14. Given that y = 10, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = o + 2 to b, which gives b = o + 8.\n2. Substitute o = m + 19 to b, which gives b = m + 27.\n3. Substitute m = z + 14 to b, which gives b = z + 41.\n4. Substitute z = t + 13 to b, which gives b = t + 54.\n5. Substitute t = y + 1 to b, which gives b = y + 55.\n6. Substitute y = 10 to b, which gives b = 65.\n\nThus, the final answer is b = \\boxed{65}.",
"index": 2064,
"question": "Suppose a collection of variables is related by the following definitions: o = m + 19; t = y + 1; v = y + 17; r = u + 2; x = v + 10; y = 10; q = r + 3; b = n + 6; z = t + 13; u = a + 13; a = x + 1; n = o + 2; m = z + 14. Given that y = 10, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"m": "h + 3", "k": "m + 15", "q": "k + 20", "o": "q + 17", "e": "o + 17", "u": "e + 10", "i": "h + 18", "l": "i + 17", "p": "l + 6", "y": "p + 20", "t": "y + 13", "g": "t + 7", "h": 19}, "premises": {"h": 19}, "target": "u"}, "answer": {"steps": [["e", "o + 17", "o + 27"], ["o", "q + 17", "q + 44"], ["q", "k + 20", "k + 64"], ["k", "m + 15", "m + 79"], ["m", "h + 3", "h + 82"], ["h", 19, "101"]], "target_var_name": "u", "target_value": 101, "value_dict": {"h": 19}, "is_reverse": true}}
| 2,065
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = l + 6; i = h + 18; q = k + 20; u = e + 10; t = y + 13; h = 19; e = o + 17; k = m + 15; m = h + 3; o = q + 17; g = t + 7; y = p + 20; l = i + 17. If h = 19, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 101,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = o + 17 to u, which gives u = o + 27.\n2. Substitute o = q + 17 to u, which gives u = q + 44.\n3. Substitute q = k + 20 to u, which gives u = k + 64.\n4. Substitute k = m + 15 to u, which gives u = m + 79.\n5. Substitute m = h + 3 to u, which gives u = h + 82.\n6. Substitute h = 19 to u, which gives u = 101.\n\nThus, the final answer is u = \\boxed{101}.",
"index": 2065,
"question": "Consider a system of variables where each variable is defined as follows: p = l + 6; i = h + 18; q = k + 20; u = e + 10; t = y + 13; h = 19; e = o + 17; k = m + 15; m = h + 3; o = q + 17; g = t + 7; y = p + 20; l = i + 17. If h = 19, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"q": "n + 8", "f": "q + 15", "t": "f + 4", "y": "t + 18", "d": "y + 12", "u": "d + 19", "o": "n + 19", "i": "o + 7", "l": "i + 8", "g": "l + 5", "r": "g + 16", "a": "r + 7", "n": 5}, "premises": {"n": 5}, "target": "u"}, "answer": {"steps": [["d", "y + 12", "y + 31"], ["y", "t + 18", "t + 49"], ["t", "f + 4", "f + 53"], ["f", "q + 15", "q + 68"], ["q", "n + 8", "n + 76"], ["n", 5, "81"]], "target_var_name": "u", "target_value": 81, "value_dict": {"n": 5}, "is_reverse": true}}
| 2,066
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = r + 7; r = g + 16; i = o + 7; d = y + 12; n = 5; u = d + 19; g = l + 5; l = i + 8; t = f + 4; y = t + 18; f = q + 15; q = n + 8; o = n + 19. If n = 5, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = y + 12 to u, which gives u = y + 31.\n2. Substitute y = t + 18 to u, which gives u = t + 49.\n3. Substitute t = f + 4 to u, which gives u = f + 53.\n4. Substitute f = q + 15 to u, which gives u = q + 68.\n5. Substitute q = n + 8 to u, which gives u = n + 76.\n6. Substitute n = 5 to u, which gives u = 81.\n\nThus, the final answer is u = \\boxed{81}.",
"index": 2066,
"question": "Consider a system of variables where each variable is defined as follows: a = r + 7; r = g + 16; i = o + 7; d = y + 12; n = 5; u = d + 19; g = l + 5; l = i + 8; t = f + 4; y = t + 18; f = q + 15; q = n + 8; o = n + 19. If n = 5, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"v": "x + 3", "q": "v + 9", "k": "q + 16", "s": "k + 10", "j": "s + 5", "m": "j + 2", "g": "x + 4", "p": "g + 9", "h": "p + 5", "o": "h + 18", "y": "o + 1", "i": "y + 11", "x": 17}, "premises": {"x": 17}, "target": "m"}, "answer": {"steps": [["j", "s + 5", "s + 7"], ["s", "k + 10", "k + 17"], ["k", "q + 16", "q + 33"], ["q", "v + 9", "v + 42"], ["v", "x + 3", "x + 45"], ["x", 17, "62"]], "target_var_name": "m", "target_value": 62, "value_dict": {"x": 17}, "is_reverse": true}}
| 2,067
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = 17; j = s + 5; p = g + 9; i = y + 11; k = q + 16; o = h + 18; v = x + 3; q = v + 9; g = x + 4; y = o + 1; h = p + 5; m = j + 2; s = k + 10. Given that x = 17, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = s + 5 to m, which gives m = s + 7.\n2. Substitute s = k + 10 to m, which gives m = k + 17.\n3. Substitute k = q + 16 to m, which gives m = q + 33.\n4. Substitute q = v + 9 to m, which gives m = v + 42.\n5. Substitute v = x + 3 to m, which gives m = x + 45.\n6. Substitute x = 17 to m, which gives m = 62.\n\nThus, the final answer is m = \\boxed{62}.",
"index": 2067,
"question": "Suppose a collection of variables is related by the following definitions: x = 17; j = s + 5; p = g + 9; i = y + 11; k = q + 16; o = h + 18; v = x + 3; q = v + 9; g = x + 4; y = o + 1; h = p + 5; m = j + 2; s = k + 10. Given that x = 17, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"i": "j + 18", "e": "i + 6", "t": "e + 4", "v": "t + 5", "n": "v + 11", "r": "n + 1", "c": "j + 13", "f": "c + 15", "w": "f + 6", "q": "w + 16", "a": "q + 2", "g": "a + 20", "j": 10}, "premises": {"j": 10}, "target": "r"}, "answer": {"steps": [["n", "v + 11", "v + 12"], ["v", "t + 5", "t + 17"], ["t", "e + 4", "e + 21"], ["e", "i + 6", "i + 27"], ["i", "j + 18", "j + 45"], ["j", 10, "55"]], "target_var_name": "r", "target_value": 55, "value_dict": {"j": 10}, "is_reverse": true}}
| 2,068
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = f + 6; i = j + 18; e = i + 6; r = n + 1; q = w + 16; g = a + 20; v = t + 5; f = c + 15; c = j + 13; t = e + 4; a = q + 2; j = 10; n = v + 11. Given that j = 10, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = v + 11 to r, which gives r = v + 12.\n2. Substitute v = t + 5 to r, which gives r = t + 17.\n3. Substitute t = e + 4 to r, which gives r = e + 21.\n4. Substitute e = i + 6 to r, which gives r = i + 27.\n5. Substitute i = j + 18 to r, which gives r = j + 45.\n6. Substitute j = 10 to r, which gives r = 55.\n\nThus, the final answer is r = \\boxed{55}.",
"index": 2068,
"question": "Suppose a collection of variables is related by the following definitions: w = f + 6; i = j + 18; e = i + 6; r = n + 1; q = w + 16; g = a + 20; v = t + 5; f = c + 15; c = j + 13; t = e + 4; a = q + 2; j = 10; n = v + 11. Given that j = 10, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"z": "v + 16", "h": "z + 3", "o": "h + 14", "w": "o + 11", "g": "w + 1", "x": "g + 11", "n": "v + 17", "j": "n + 10", "c": "j + 3", "u": "c + 2", "p": "u + 20", "t": "p + 7", "v": 8}, "premises": {"v": 8}, "target": "x"}, "answer": {"steps": [["g", "w + 1", "w + 12"], ["w", "o + 11", "o + 23"], ["o", "h + 14", "h + 37"], ["h", "z + 3", "z + 40"], ["z", "v + 16", "v + 56"], ["v", 8, "64"]], "target_var_name": "x", "target_value": 64, "value_dict": {"v": 8}, "is_reverse": true}}
| 2,069
| 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 = w + 1; x = g + 11; t = p + 7; p = u + 20; c = j + 3; n = v + 17; z = v + 16; w = o + 11; v = 8; u = c + 2; h = z + 3; o = h + 14; j = n + 10. If v = 8, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = w + 1 to x, which gives x = w + 12.\n2. Substitute w = o + 11 to x, which gives x = o + 23.\n3. Substitute o = h + 14 to x, which gives x = h + 37.\n4. Substitute h = z + 3 to x, which gives x = z + 40.\n5. Substitute z = v + 16 to x, which gives x = v + 56.\n6. Substitute v = 8 to x, which gives x = 64.\n\nThus, the final answer is x = \\boxed{64}.",
"index": 2069,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = w + 1; x = g + 11; t = p + 7; p = u + 20; c = j + 3; n = v + 17; z = v + 16; w = o + 11; v = 8; u = c + 2; h = z + 3; o = h + 14; j = n + 10. If v = 8, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"k": "t + 16", "w": "k + 16", "n": "w + 19", "f": "n + 18", "q": "f + 7", "b": "q + 2", "z": "t + 8", "v": "z + 9", "d": "v + 11", "p": "d + 2", "c": "p + 18", "u": "c + 8", "t": 14}, "premises": {"t": 14}, "target": "b"}, "answer": {"steps": [["q", "f + 7", "f + 9"], ["f", "n + 18", "n + 27"], ["n", "w + 19", "w + 46"], ["w", "k + 16", "k + 62"], ["k", "t + 16", "t + 78"], ["t", 14, "92"]], "target_var_name": "b", "target_value": 92, "value_dict": {"t": 14}, "is_reverse": true}}
| 2,070
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = v + 11; p = d + 2; q = f + 7; c = p + 18; n = w + 19; f = n + 18; v = z + 9; t = 14; z = t + 8; k = t + 16; w = k + 16; u = c + 8; b = q + 2. If t = 14, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = f + 7 to b, which gives b = f + 9.\n2. Substitute f = n + 18 to b, which gives b = n + 27.\n3. Substitute n = w + 19 to b, which gives b = w + 46.\n4. Substitute w = k + 16 to b, which gives b = k + 62.\n5. Substitute k = t + 16 to b, which gives b = t + 78.\n6. Substitute t = 14 to b, which gives b = 92.\n\nThus, the final answer is b = \\boxed{92}.",
"index": 2070,
"question": "Consider a system of variables where each variable is defined as follows: d = v + 11; p = d + 2; q = f + 7; c = p + 18; n = w + 19; f = n + 18; v = z + 9; t = 14; z = t + 8; k = t + 16; w = k + 16; u = c + 8; b = q + 2. If t = 14, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"a": "z + 16", "h": "a + 20", "m": "h + 16", "o": "m + 5", "e": "o + 20", "t": "e + 11", "f": "z + 8", "k": "f + 13", "x": "k + 11", "p": "x + 5", "y": "p + 18", "n": "y + 19", "z": 4}, "premises": {"z": 4}, "target": "t"}, "answer": {"steps": [["e", "o + 20", "o + 31"], ["o", "m + 5", "m + 36"], ["m", "h + 16", "h + 52"], ["h", "a + 20", "a + 72"], ["a", "z + 16", "z + 88"], ["z", 4, "92"]], "target_var_name": "t", "target_value": 92, "value_dict": {"z": 4}, "is_reverse": true}}
| 2,071
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = h + 16; t = e + 11; p = x + 5; a = z + 16; k = f + 13; z = 4; e = o + 20; h = a + 20; f = z + 8; x = k + 11; n = y + 19; y = p + 18; o = m + 5. Given that z = 4, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = o + 20 to t, which gives t = o + 31.\n2. Substitute o = m + 5 to t, which gives t = m + 36.\n3. Substitute m = h + 16 to t, which gives t = h + 52.\n4. Substitute h = a + 20 to t, which gives t = a + 72.\n5. Substitute a = z + 16 to t, which gives t = z + 88.\n6. Substitute z = 4 to t, which gives t = 92.\n\nThus, the final answer is t = \\boxed{92}.",
"index": 2071,
"question": "Suppose a collection of variables is related by the following definitions: m = h + 16; t = e + 11; p = x + 5; a = z + 16; k = f + 13; z = 4; e = o + 20; h = a + 20; f = z + 8; x = k + 11; n = y + 19; y = p + 18; o = m + 5. Given that z = 4, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"r": "b + 20", "g": "r + 12", "u": "g + 8", "x": "u + 16", "o": "x + 10", "p": "o + 13", "t": "b + 18", "e": "t + 14", "w": "e + 11", "l": "w + 11", "v": "l + 3", "k": "v + 9", "b": 3}, "premises": {"b": 3}, "target": "p"}, "answer": {"steps": [["o", "x + 10", "x + 23"], ["x", "u + 16", "u + 39"], ["u", "g + 8", "g + 47"], ["g", "r + 12", "r + 59"], ["r", "b + 20", "b + 79"], ["b", 3, "82"]], "target_var_name": "p", "target_value": 82, "value_dict": {"b": 3}, "is_reverse": true}}
| 2,072
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = e + 11; u = g + 8; t = b + 18; p = o + 13; g = r + 12; b = 3; v = l + 3; x = u + 16; e = t + 14; l = w + 11; k = v + 9; r = b + 20; o = x + 10. Given that b = 3, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = x + 10 to p, which gives p = x + 23.\n2. Substitute x = u + 16 to p, which gives p = u + 39.\n3. Substitute u = g + 8 to p, which gives p = g + 47.\n4. Substitute g = r + 12 to p, which gives p = r + 59.\n5. Substitute r = b + 20 to p, which gives p = b + 79.\n6. Substitute b = 3 to p, which gives p = 82.\n\nThus, the final answer is p = \\boxed{82}.",
"index": 2072,
"question": "Suppose a collection of variables is related by the following definitions: w = e + 11; u = g + 8; t = b + 18; p = o + 13; g = r + 12; b = 3; v = l + 3; x = u + 16; e = t + 14; l = w + 11; k = v + 9; r = b + 20; o = x + 10. Given that b = 3, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"n": "t + 11", "d": "n + 9", "f": "d + 12", "v": "f + 10", "y": "v + 18", "i": "y + 5", "z": "t + 9", "w": "z + 18", "m": "w + 5", "g": "m + 2", "x": "g + 19", "u": "x + 19", "t": 20}, "premises": {"t": 20}, "target": "i"}, "answer": {"steps": [["y", "v + 18", "v + 23"], ["v", "f + 10", "f + 33"], ["f", "d + 12", "d + 45"], ["d", "n + 9", "n + 54"], ["n", "t + 11", "t + 65"], ["t", 20, "85"]], "target_var_name": "i", "target_value": 85, "value_dict": {"t": 20}, "is_reverse": true}}
| 2,073
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = z + 18; x = g + 19; m = w + 5; z = t + 9; t = 20; f = d + 12; v = f + 10; y = v + 18; u = x + 19; n = t + 11; g = m + 2; d = n + 9; i = y + 5. Given that t = 20, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = v + 18 to i, which gives i = v + 23.\n2. Substitute v = f + 10 to i, which gives i = f + 33.\n3. Substitute f = d + 12 to i, which gives i = d + 45.\n4. Substitute d = n + 9 to i, which gives i = n + 54.\n5. Substitute n = t + 11 to i, which gives i = t + 65.\n6. Substitute t = 20 to i, which gives i = 85.\n\nThus, the final answer is i = \\boxed{85}.",
"index": 2073,
"question": "Suppose a collection of variables is related by the following definitions: w = z + 18; x = g + 19; m = w + 5; z = t + 9; t = 20; f = d + 12; v = f + 10; y = v + 18; u = x + 19; n = t + 11; g = m + 2; d = n + 9; i = y + 5. Given that t = 20, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"g": "p + 10", "q": "g + 19", "r": "q + 11", "l": "r + 6", "a": "l + 3", "s": "a + 8", "o": "p + 16", "h": "o + 8", "f": "h + 8", "i": "f + 16", "t": "i + 15", "w": "t + 6", "p": 11}, "premises": {"p": 11}, "target": "s"}, "answer": {"steps": [["a", "l + 3", "l + 11"], ["l", "r + 6", "r + 17"], ["r", "q + 11", "q + 28"], ["q", "g + 19", "g + 47"], ["g", "p + 10", "p + 57"], ["p", 11, "68"]], "target_var_name": "s", "target_value": 68, "value_dict": {"p": 11}, "is_reverse": true}}
| 2,074
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = 11; g = p + 10; r = q + 11; i = f + 16; h = o + 8; w = t + 6; s = a + 8; a = l + 3; f = h + 8; o = p + 16; q = g + 19; t = i + 15; l = r + 6. If p = 11, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = l + 3 to s, which gives s = l + 11.\n2. Substitute l = r + 6 to s, which gives s = r + 17.\n3. Substitute r = q + 11 to s, which gives s = q + 28.\n4. Substitute q = g + 19 to s, which gives s = g + 47.\n5. Substitute g = p + 10 to s, which gives s = p + 57.\n6. Substitute p = 11 to s, which gives s = 68.\n\nThus, the final answer is s = \\boxed{68}.",
"index": 2074,
"question": "Consider a system of variables where each variable is defined as follows: p = 11; g = p + 10; r = q + 11; i = f + 16; h = o + 8; w = t + 6; s = a + 8; a = l + 3; f = h + 8; o = p + 16; q = g + 19; t = i + 15; l = r + 6. If p = 11, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"g": "y + 15", "t": "g + 17", "k": "t + 14", "a": "k + 11", "c": "a + 19", "s": "c + 8", "e": "y + 16", "n": "e + 9", "z": "n + 11", "f": "z + 16", "u": "f + 5", "m": "u + 11", "y": 17}, "premises": {"y": 17}, "target": "s"}, "answer": {"steps": [["c", "a + 19", "a + 27"], ["a", "k + 11", "k + 38"], ["k", "t + 14", "t + 52"], ["t", "g + 17", "g + 69"], ["g", "y + 15", "y + 84"], ["y", 17, "101"]], "target_var_name": "s", "target_value": 101, "value_dict": {"y": 17}, "is_reverse": true}}
| 2,075
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = f + 5; z = n + 11; t = g + 17; m = u + 11; e = y + 16; a = k + 11; y = 17; n = e + 9; s = c + 8; f = z + 16; k = t + 14; g = y + 15; c = a + 19. If y = 17, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 101,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = a + 19 to s, which gives s = a + 27.\n2. Substitute a = k + 11 to s, which gives s = k + 38.\n3. Substitute k = t + 14 to s, which gives s = t + 52.\n4. Substitute t = g + 17 to s, which gives s = g + 69.\n5. Substitute g = y + 15 to s, which gives s = y + 84.\n6. Substitute y = 17 to s, which gives s = 101.\n\nThus, the final answer is s = \\boxed{101}.",
"index": 2075,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = f + 5; z = n + 11; t = g + 17; m = u + 11; e = y + 16; a = k + 11; y = 17; n = e + 9; s = c + 8; f = z + 16; k = t + 14; g = y + 15; c = a + 19. If y = 17, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"l": "j + 9", "y": "l + 7", "k": "y + 18", "c": "k + 3", "m": "c + 9", "q": "m + 3", "s": "j + 6", "v": "s + 17", "g": "v + 11", "w": "g + 10", "x": "w + 9", "r": "x + 9", "j": 9}, "premises": {"j": 9}, "target": "q"}, "answer": {"steps": [["m", "c + 9", "c + 12"], ["c", "k + 3", "k + 15"], ["k", "y + 18", "y + 33"], ["y", "l + 7", "l + 40"], ["l", "j + 9", "j + 49"], ["j", 9, "58"]], "target_var_name": "q", "target_value": 58, "value_dict": {"j": 9}, "is_reverse": true}}
| 2,076
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = k + 3; v = s + 17; j = 9; k = y + 18; r = x + 9; m = c + 9; g = v + 11; s = j + 6; l = j + 9; w = g + 10; q = m + 3; x = w + 9; y = l + 7. Given that j = 9, 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 m = c + 9 to q, which gives q = c + 12.\n2. Substitute c = k + 3 to q, which gives q = k + 15.\n3. Substitute k = y + 18 to q, which gives q = y + 33.\n4. Substitute y = l + 7 to q, which gives q = l + 40.\n5. Substitute l = j + 9 to q, which gives q = j + 49.\n6. Substitute j = 9 to q, which gives q = 58.\n\nThus, the final answer is q = \\boxed{58}.",
"index": 2076,
"question": "Suppose a collection of variables is related by the following definitions: c = k + 3; v = s + 17; j = 9; k = y + 18; r = x + 9; m = c + 9; g = v + 11; s = j + 6; l = j + 9; w = g + 10; q = m + 3; x = w + 9; y = l + 7. Given that j = 9, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"h": "w + 12", "x": "h + 13", "a": "x + 17", "n": "a + 19", "i": "n + 8", "s": "i + 9", "p": "w + 15", "m": "p + 11", "u": "m + 15", "b": "u + 11", "l": "b + 15", "o": "l + 2", "w": 17}, "premises": {"w": 17}, "target": "s"}, "answer": {"steps": [["i", "n + 8", "n + 17"], ["n", "a + 19", "a + 36"], ["a", "x + 17", "x + 53"], ["x", "h + 13", "h + 66"], ["h", "w + 12", "w + 78"], ["w", 17, "95"]], "target_var_name": "s", "target_value": 95, "value_dict": {"w": 17}, "is_reverse": true}}
| 2,077
| 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 = p + 11; u = m + 15; s = i + 9; l = b + 15; p = w + 15; a = x + 17; n = a + 19; o = l + 2; w = 17; h = w + 12; x = h + 13; b = u + 11; i = n + 8. If w = 17, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = n + 8 to s, which gives s = n + 17.\n2. Substitute n = a + 19 to s, which gives s = a + 36.\n3. Substitute a = x + 17 to s, which gives s = x + 53.\n4. Substitute x = h + 13 to s, which gives s = h + 66.\n5. Substitute h = w + 12 to s, which gives s = w + 78.\n6. Substitute w = 17 to s, which gives s = 95.\n\nThus, the final answer is s = \\boxed{95}.",
"index": 2077,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = p + 11; u = m + 15; s = i + 9; l = b + 15; p = w + 15; a = x + 17; n = a + 19; o = l + 2; w = 17; h = w + 12; x = h + 13; b = u + 11; i = n + 8. If w = 17, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"c": "s + 18", "v": "c + 1", "k": "v + 8", "p": "k + 4", "x": "p + 5", "y": "x + 17", "b": "s + 8", "q": "b + 8", "z": "q + 8", "n": "z + 10", "t": "n + 18", "w": "t + 11", "s": 9}, "premises": {"s": 9}, "target": "y"}, "answer": {"steps": [["x", "p + 5", "p + 22"], ["p", "k + 4", "k + 26"], ["k", "v + 8", "v + 34"], ["v", "c + 1", "c + 35"], ["c", "s + 18", "s + 53"], ["s", 9, "62"]], "target_var_name": "y", "target_value": 62, "value_dict": {"s": 9}, "is_reverse": true}}
| 2,078
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = s + 18; q = b + 8; p = k + 4; k = v + 8; x = p + 5; b = s + 8; s = 9; z = q + 8; n = z + 10; w = t + 11; v = c + 1; y = x + 17; t = n + 18. Given that s = 9, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = p + 5 to y, which gives y = p + 22.\n2. Substitute p = k + 4 to y, which gives y = k + 26.\n3. Substitute k = v + 8 to y, which gives y = v + 34.\n4. Substitute v = c + 1 to y, which gives y = c + 35.\n5. Substitute c = s + 18 to y, which gives y = s + 53.\n6. Substitute s = 9 to y, which gives y = 62.\n\nThus, the final answer is y = \\boxed{62}.",
"index": 2078,
"question": "Suppose a collection of variables is related by the following definitions: c = s + 18; q = b + 8; p = k + 4; k = v + 8; x = p + 5; b = s + 8; s = 9; z = q + 8; n = z + 10; w = t + 11; v = c + 1; y = x + 17; t = n + 18. Given that s = 9, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"n": "y + 5", "l": "n + 1", "f": "l + 11", "s": "f + 16", "z": "s + 3", "d": "z + 13", "g": "y + 20", "x": "g + 3", "u": "x + 9", "k": "u + 10", "q": "k + 5", "o": "q + 6", "y": 10}, "premises": {"y": 10}, "target": "d"}, "answer": {"steps": [["z", "s + 3", "s + 16"], ["s", "f + 16", "f + 32"], ["f", "l + 11", "l + 43"], ["l", "n + 1", "n + 44"], ["n", "y + 5", "y + 49"], ["y", 10, "59"]], "target_var_name": "d", "target_value": 59, "value_dict": {"y": 10}, "is_reverse": true}}
| 2,079
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = z + 13; y = 10; g = y + 20; f = l + 11; q = k + 5; n = y + 5; o = q + 6; l = n + 1; k = u + 10; z = s + 3; x = g + 3; s = f + 16; u = x + 9. Given that y = 10, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = s + 3 to d, which gives d = s + 16.\n2. Substitute s = f + 16 to d, which gives d = f + 32.\n3. Substitute f = l + 11 to d, which gives d = l + 43.\n4. Substitute l = n + 1 to d, which gives d = n + 44.\n5. Substitute n = y + 5 to d, which gives d = y + 49.\n6. Substitute y = 10 to d, which gives d = 59.\n\nThus, the final answer is d = \\boxed{59}.",
"index": 2079,
"question": "Suppose a collection of variables is related by the following definitions: d = z + 13; y = 10; g = y + 20; f = l + 11; q = k + 5; n = y + 5; o = q + 6; l = n + 1; k = u + 10; z = s + 3; x = g + 3; s = f + 16; u = x + 9. Given that y = 10, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"q": "w + 12", "p": "q + 14", "m": "p + 1", "l": "m + 11", "b": "l + 19", "x": "b + 4", "e": "w + 18", "s": "e + 7", "a": "s + 6", "c": "a + 16", "v": "c + 1", "r": "v + 5", "w": 16}, "premises": {"w": 16}, "target": "x"}, "answer": {"steps": [["b", "l + 19", "l + 23"], ["l", "m + 11", "m + 34"], ["m", "p + 1", "p + 35"], ["p", "q + 14", "q + 49"], ["q", "w + 12", "w + 61"], ["w", 16, "77"]], "target_var_name": "x", "target_value": 77, "value_dict": {"w": 16}, "is_reverse": true}}
| 2,080
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = v + 5; c = a + 16; w = 16; q = w + 12; m = p + 1; s = e + 7; x = b + 4; e = w + 18; l = m + 11; b = l + 19; a = s + 6; v = c + 1; p = q + 14. If w = 16, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = l + 19 to x, which gives x = l + 23.\n2. Substitute l = m + 11 to x, which gives x = m + 34.\n3. Substitute m = p + 1 to x, which gives x = p + 35.\n4. Substitute p = q + 14 to x, which gives x = q + 49.\n5. Substitute q = w + 12 to x, which gives x = w + 61.\n6. Substitute w = 16 to x, which gives x = 77.\n\nThus, the final answer is x = \\boxed{77}.",
"index": 2080,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = v + 5; c = a + 16; w = 16; q = w + 12; m = p + 1; s = e + 7; x = b + 4; e = w + 18; l = m + 11; b = l + 19; a = s + 6; v = c + 1; p = q + 14. If w = 16, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"u": "r + 16", "i": "u + 16", "e": "i + 1", "t": "e + 8", "v": "t + 18", "w": "v + 2", "d": "r + 17", "n": "d + 14", "k": "n + 6", "m": "k + 9", "a": "m + 5", "j": "a + 20", "r": 14}, "premises": {"r": 14}, "target": "w"}, "answer": {"steps": [["v", "t + 18", "t + 20"], ["t", "e + 8", "e + 28"], ["e", "i + 1", "i + 29"], ["i", "u + 16", "u + 45"], ["u", "r + 16", "r + 61"], ["r", 14, "75"]], "target_var_name": "w", "target_value": 75, "value_dict": {"r": 14}, "is_reverse": true}}
| 2,081
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = 14; e = i + 1; a = m + 5; d = r + 17; w = v + 2; v = t + 18; i = u + 16; j = a + 20; u = r + 16; k = n + 6; m = k + 9; n = d + 14; t = e + 8. Given that r = 14, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = t + 18 to w, which gives w = t + 20.\n2. Substitute t = e + 8 to w, which gives w = e + 28.\n3. Substitute e = i + 1 to w, which gives w = i + 29.\n4. Substitute i = u + 16 to w, which gives w = u + 45.\n5. Substitute u = r + 16 to w, which gives w = r + 61.\n6. Substitute r = 14 to w, which gives w = 75.\n\nThus, the final answer is w = \\boxed{75}.",
"index": 2081,
"question": "Suppose a collection of variables is related by the following definitions: r = 14; e = i + 1; a = m + 5; d = r + 17; w = v + 2; v = t + 18; i = u + 16; j = a + 20; u = r + 16; k = n + 6; m = k + 9; n = d + 14; t = e + 8. Given that r = 14, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"q": "y + 15", "r": "q + 7", "c": "r + 3", "b": "c + 19", "x": "b + 2", "z": "x + 5", "v": "y + 8", "n": "v + 10", "m": "n + 5", "l": "m + 13", "j": "l + 16", "o": "j + 15", "y": 14}, "premises": {"y": 14}, "target": "z"}, "answer": {"steps": [["x", "b + 2", "b + 7"], ["b", "c + 19", "c + 26"], ["c", "r + 3", "r + 29"], ["r", "q + 7", "q + 36"], ["q", "y + 15", "y + 51"], ["y", 14, "65"]], "target_var_name": "z", "target_value": 65, "value_dict": {"y": 14}, "is_reverse": true}}
| 2,082
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = y + 8; r = q + 7; z = x + 5; y = 14; l = m + 13; q = y + 15; o = j + 15; b = c + 19; m = n + 5; c = r + 3; j = l + 16; x = b + 2; n = v + 10. If y = 14, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = b + 2 to z, which gives z = b + 7.\n2. Substitute b = c + 19 to z, which gives z = c + 26.\n3. Substitute c = r + 3 to z, which gives z = r + 29.\n4. Substitute r = q + 7 to z, which gives z = q + 36.\n5. Substitute q = y + 15 to z, which gives z = y + 51.\n6. Substitute y = 14 to z, which gives z = 65.\n\nThus, the final answer is z = \\boxed{65}.",
"index": 2082,
"question": "Consider a system of variables where each variable is defined as follows: v = y + 8; r = q + 7; z = x + 5; y = 14; l = m + 13; q = y + 15; o = j + 15; b = c + 19; m = n + 5; c = r + 3; j = l + 16; x = b + 2; n = v + 10. If y = 14, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"b": "l + 11", "j": "b + 4", "q": "j + 20", "s": "q + 19", "a": "s + 2", "y": "a + 5", "t": "l + 12", "c": "t + 4", "x": "c + 10", "g": "x + 8", "o": "g + 17", "k": "o + 1", "l": 8}, "premises": {"l": 8}, "target": "y"}, "answer": {"steps": [["a", "s + 2", "s + 7"], ["s", "q + 19", "q + 26"], ["q", "j + 20", "j + 46"], ["j", "b + 4", "b + 50"], ["b", "l + 11", "l + 61"], ["l", 8, "69"]], "target_var_name": "y", "target_value": 69, "value_dict": {"l": 8}, "is_reverse": true}}
| 2,083
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = o + 1; q = j + 20; b = l + 11; x = c + 10; s = q + 19; a = s + 2; c = t + 4; g = x + 8; l = 8; o = g + 17; j = b + 4; y = a + 5; t = l + 12. Given that l = 8, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = s + 2 to y, which gives y = s + 7.\n2. Substitute s = q + 19 to y, which gives y = q + 26.\n3. Substitute q = j + 20 to y, which gives y = j + 46.\n4. Substitute j = b + 4 to y, which gives y = b + 50.\n5. Substitute b = l + 11 to y, which gives y = l + 61.\n6. Substitute l = 8 to y, which gives y = 69.\n\nThus, the final answer is y = \\boxed{69}.",
"index": 2083,
"question": "Suppose a collection of variables is related by the following definitions: k = o + 1; q = j + 20; b = l + 11; x = c + 10; s = q + 19; a = s + 2; c = t + 4; g = x + 8; l = 8; o = g + 17; j = b + 4; y = a + 5; t = l + 12. Given that l = 8, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"j": "z + 2", "g": "j + 13", "n": "g + 10", "q": "n + 4", "r": "q + 1", "e": "r + 6", "c": "z + 20", "s": "c + 8", "p": "s + 9", "u": "p + 13", "v": "u + 13", "f": "v + 14", "z": 7}, "premises": {"z": 7}, "target": "e"}, "answer": {"steps": [["r", "q + 1", "q + 7"], ["q", "n + 4", "n + 11"], ["n", "g + 10", "g + 21"], ["g", "j + 13", "j + 34"], ["j", "z + 2", "z + 36"], ["z", 7, "43"]], "target_var_name": "e", "target_value": 43, "value_dict": {"z": 7}, "is_reverse": true}}
| 2,084
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = 7; p = s + 9; f = v + 14; n = g + 10; u = p + 13; v = u + 13; c = z + 20; r = q + 1; g = j + 13; e = r + 6; q = n + 4; s = c + 8; j = z + 2. If z = 7, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 43,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = q + 1 to e, which gives e = q + 7.\n2. Substitute q = n + 4 to e, which gives e = n + 11.\n3. Substitute n = g + 10 to e, which gives e = g + 21.\n4. Substitute g = j + 13 to e, which gives e = j + 34.\n5. Substitute j = z + 2 to e, which gives e = z + 36.\n6. Substitute z = 7 to e, which gives e = 43.\n\nThus, the final answer is e = \\boxed{43}.",
"index": 2084,
"question": "Consider a system of variables where each variable is defined as follows: z = 7; p = s + 9; f = v + 14; n = g + 10; u = p + 13; v = u + 13; c = z + 20; r = q + 1; g = j + 13; e = r + 6; q = n + 4; s = c + 8; j = z + 2. If z = 7, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"m": "k + 12", "i": "m + 12", "c": "i + 20", "n": "c + 4", "b": "n + 10", "j": "b + 2", "u": "k + 20", "v": "u + 18", "w": "v + 16", "o": "w + 6", "h": "o + 20", "d": "h + 2", "k": 10}, "premises": {"k": 10}, "target": "j"}, "answer": {"steps": [["b", "n + 10", "n + 12"], ["n", "c + 4", "c + 16"], ["c", "i + 20", "i + 36"], ["i", "m + 12", "m + 48"], ["m", "k + 12", "k + 60"], ["k", 10, "70"]], "target_var_name": "j", "target_value": 70, "value_dict": {"k": 10}, "is_reverse": true}}
| 2,085
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = i + 20; v = u + 18; n = c + 4; j = b + 2; w = v + 16; h = o + 20; o = w + 6; u = k + 20; b = n + 10; m = k + 12; i = m + 12; d = h + 2; k = 10. Given that k = 10, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = n + 10 to j, which gives j = n + 12.\n2. Substitute n = c + 4 to j, which gives j = c + 16.\n3. Substitute c = i + 20 to j, which gives j = i + 36.\n4. Substitute i = m + 12 to j, which gives j = m + 48.\n5. Substitute m = k + 12 to j, which gives j = k + 60.\n6. Substitute k = 10 to j, which gives j = 70.\n\nThus, the final answer is j = \\boxed{70}.",
"index": 2085,
"question": "Suppose a collection of variables is related by the following definitions: c = i + 20; v = u + 18; n = c + 4; j = b + 2; w = v + 16; h = o + 20; o = w + 6; u = k + 20; b = n + 10; m = k + 12; i = m + 12; d = h + 2; k = 10. Given that k = 10, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"t": "s + 7", "u": "t + 16", "i": "u + 10", "n": "i + 3", "f": "n + 4", "k": "f + 9", "q": "s + 17", "l": "q + 14", "o": "l + 20", "x": "o + 8", "a": "x + 18", "y": "a + 7", "s": 15}, "premises": {"s": 15}, "target": "k"}, "answer": {"steps": [["f", "n + 4", "n + 13"], ["n", "i + 3", "i + 16"], ["i", "u + 10", "u + 26"], ["u", "t + 16", "t + 42"], ["t", "s + 7", "s + 49"], ["s", 15, "64"]], "target_var_name": "k", "target_value": 64, "value_dict": {"s": 15}, "is_reverse": true}}
| 2,086
| 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 = 15; l = q + 14; n = i + 3; x = o + 8; a = x + 18; t = s + 7; k = f + 9; q = s + 17; i = u + 10; o = l + 20; u = t + 16; y = a + 7; f = n + 4. If s = 15, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = n + 4 to k, which gives k = n + 13.\n2. Substitute n = i + 3 to k, which gives k = i + 16.\n3. Substitute i = u + 10 to k, which gives k = u + 26.\n4. Substitute u = t + 16 to k, which gives k = t + 42.\n5. Substitute t = s + 7 to k, which gives k = s + 49.\n6. Substitute s = 15 to k, which gives k = 64.\n\nThus, the final answer is k = \\boxed{64}.",
"index": 2086,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = 15; l = q + 14; n = i + 3; x = o + 8; a = x + 18; t = s + 7; k = f + 9; q = s + 17; i = u + 10; o = l + 20; u = t + 16; y = a + 7; f = n + 4. If s = 15, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"i": "n + 13", "s": "i + 9", "z": "s + 20", "v": "z + 19", "t": "v + 19", "p": "t + 14", "u": "n + 3", "x": "u + 3", "j": "x + 9", "q": "j + 18", "e": "q + 18", "b": "e + 10", "n": 8}, "premises": {"n": 8}, "target": "p"}, "answer": {"steps": [["t", "v + 19", "v + 33"], ["v", "z + 19", "z + 52"], ["z", "s + 20", "s + 72"], ["s", "i + 9", "i + 81"], ["i", "n + 13", "n + 94"], ["n", 8, "102"]], "target_var_name": "p", "target_value": 102, "value_dict": {"n": 8}, "is_reverse": true}}
| 2,087
| 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 = j + 18; z = s + 20; i = n + 13; j = x + 9; u = n + 3; p = t + 14; t = v + 19; x = u + 3; s = i + 9; n = 8; v = z + 19; b = e + 10; e = q + 18. If n = 8, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 102,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = v + 19 to p, which gives p = v + 33.\n2. Substitute v = z + 19 to p, which gives p = z + 52.\n3. Substitute z = s + 20 to p, which gives p = s + 72.\n4. Substitute s = i + 9 to p, which gives p = i + 81.\n5. Substitute i = n + 13 to p, which gives p = n + 94.\n6. Substitute n = 8 to p, which gives p = 102.\n\nThus, the final answer is p = \\boxed{102}.",
"index": 2087,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = j + 18; z = s + 20; i = n + 13; j = x + 9; u = n + 3; p = t + 14; t = v + 19; x = u + 3; s = i + 9; n = 8; v = z + 19; b = e + 10; e = q + 18. If n = 8, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"y": "t + 9", "p": "y + 12", "v": "p + 5", "m": "v + 5", "n": "m + 1", "q": "n + 12", "o": "t + 18", "l": "o + 12", "x": "l + 11", "g": "x + 16", "w": "g + 8", "u": "w + 4", "t": 20}, "premises": {"t": 20}, "target": "q"}, "answer": {"steps": [["n", "m + 1", "m + 13"], ["m", "v + 5", "v + 18"], ["v", "p + 5", "p + 23"], ["p", "y + 12", "y + 35"], ["y", "t + 9", "t + 44"], ["t", 20, "64"]], "target_var_name": "q", "target_value": 64, "value_dict": {"t": 20}, "is_reverse": true}}
| 2,088
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = o + 12; p = y + 12; w = g + 8; t = 20; q = n + 12; n = m + 1; m = v + 5; g = x + 16; u = w + 4; y = t + 9; o = t + 18; v = p + 5; x = l + 11. Given that t = 20, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = m + 1 to q, which gives q = m + 13.\n2. Substitute m = v + 5 to q, which gives q = v + 18.\n3. Substitute v = p + 5 to q, which gives q = p + 23.\n4. Substitute p = y + 12 to q, which gives q = y + 35.\n5. Substitute y = t + 9 to q, which gives q = t + 44.\n6. Substitute t = 20 to q, which gives q = 64.\n\nThus, the final answer is q = \\boxed{64}.",
"index": 2088,
"question": "Suppose a collection of variables is related by the following definitions: l = o + 12; p = y + 12; w = g + 8; t = 20; q = n + 12; n = m + 1; m = v + 5; g = x + 16; u = w + 4; y = t + 9; o = t + 18; v = p + 5; x = l + 11. Given that t = 20, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"z": "d + 10", "f": "z + 19", "m": "f + 16", "q": "m + 5", "g": "q + 17", "j": "g + 6", "i": "d + 17", "v": "i + 2", "e": "v + 15", "a": "e + 1", "h": "a + 9", "t": "h + 10", "d": 6}, "premises": {"d": 6}, "target": "j"}, "answer": {"steps": [["g", "q + 17", "q + 23"], ["q", "m + 5", "m + 28"], ["m", "f + 16", "f + 44"], ["f", "z + 19", "z + 63"], ["z", "d + 10", "d + 73"], ["d", 6, "79"]], "target_var_name": "j", "target_value": 79, "value_dict": {"d": 6}, "is_reverse": true}}
| 2,089
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = e + 1; h = a + 9; v = i + 2; z = d + 10; d = 6; f = z + 19; j = g + 6; e = v + 15; g = q + 17; q = m + 5; t = h + 10; i = d + 17; m = f + 16. If d = 6, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = q + 17 to j, which gives j = q + 23.\n2. Substitute q = m + 5 to j, which gives j = m + 28.\n3. Substitute m = f + 16 to j, which gives j = f + 44.\n4. Substitute f = z + 19 to j, which gives j = z + 63.\n5. Substitute z = d + 10 to j, which gives j = d + 73.\n6. Substitute d = 6 to j, which gives j = 79.\n\nThus, the final answer is j = \\boxed{79}.",
"index": 2089,
"question": "Consider a system of variables where each variable is defined as follows: a = e + 1; h = a + 9; v = i + 2; z = d + 10; d = 6; f = z + 19; j = g + 6; e = v + 15; g = q + 17; q = m + 5; t = h + 10; i = d + 17; m = f + 16. If d = 6, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"i": "r + 9", "o": "i + 18", "q": "o + 17", "t": "q + 3", "v": "t + 16", "l": "v + 3", "x": "r + 20", "d": "x + 6", "u": "d + 12", "g": "u + 12", "y": "g + 7", "m": "y + 12", "r": 12}, "premises": {"r": 12}, "target": "l"}, "answer": {"steps": [["v", "t + 16", "t + 19"], ["t", "q + 3", "q + 22"], ["q", "o + 17", "o + 39"], ["o", "i + 18", "i + 57"], ["i", "r + 9", "r + 66"], ["r", 12, "78"]], "target_var_name": "l", "target_value": 78, "value_dict": {"r": 12}, "is_reverse": true}}
| 2,090
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = q + 3; g = u + 12; q = o + 17; o = i + 18; u = d + 12; m = y + 12; x = r + 20; d = x + 6; l = v + 3; r = 12; i = r + 9; y = g + 7; v = t + 16. If r = 12, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = t + 16 to l, which gives l = t + 19.\n2. Substitute t = q + 3 to l, which gives l = q + 22.\n3. Substitute q = o + 17 to l, which gives l = o + 39.\n4. Substitute o = i + 18 to l, which gives l = i + 57.\n5. Substitute i = r + 9 to l, which gives l = r + 66.\n6. Substitute r = 12 to l, which gives l = 78.\n\nThus, the final answer is l = \\boxed{78}.",
"index": 2090,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = q + 3; g = u + 12; q = o + 17; o = i + 18; u = d + 12; m = y + 12; x = r + 20; d = x + 6; l = v + 3; r = 12; i = r + 9; y = g + 7; v = t + 16. If r = 12, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"r": "g + 14", "y": "r + 20", "e": "y + 2", "i": "e + 5", "k": "i + 13", "h": "k + 3", "s": "g + 11", "t": "s + 17", "b": "t + 18", "l": "b + 20", "j": "l + 18", "z": "j + 7", "g": 12}, "premises": {"g": 12}, "target": "h"}, "answer": {"steps": [["k", "i + 13", "i + 16"], ["i", "e + 5", "e + 21"], ["e", "y + 2", "y + 23"], ["y", "r + 20", "r + 43"], ["r", "g + 14", "g + 57"], ["g", 12, "69"]], "target_var_name": "h", "target_value": 69, "value_dict": {"g": 12}, "is_reverse": true}}
| 2,091
| 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 = j + 7; s = g + 11; e = y + 2; j = l + 18; g = 12; h = k + 3; l = b + 20; i = e + 5; y = r + 20; r = g + 14; k = i + 13; b = t + 18; t = s + 17. If g = 12, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = i + 13 to h, which gives h = i + 16.\n2. Substitute i = e + 5 to h, which gives h = e + 21.\n3. Substitute e = y + 2 to h, which gives h = y + 23.\n4. Substitute y = r + 20 to h, which gives h = r + 43.\n5. Substitute r = g + 14 to h, which gives h = g + 57.\n6. Substitute g = 12 to h, which gives h = 69.\n\nThus, the final answer is h = \\boxed{69}.",
"index": 2091,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = j + 7; s = g + 11; e = y + 2; j = l + 18; g = 12; h = k + 3; l = b + 20; i = e + 5; y = r + 20; r = g + 14; k = i + 13; b = t + 18; t = s + 17. If g = 12, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"z": "q + 20", "e": "z + 11", "g": "e + 20", "f": "g + 9", "c": "f + 13", "y": "c + 19", "o": "q + 17", "l": "o + 20", "i": "l + 9", "b": "i + 1", "d": "b + 3", "s": "d + 9", "q": 15}, "premises": {"q": 15}, "target": "y"}, "answer": {"steps": [["c", "f + 13", "f + 32"], ["f", "g + 9", "g + 41"], ["g", "e + 20", "e + 61"], ["e", "z + 11", "z + 72"], ["z", "q + 20", "q + 92"], ["q", 15, "107"]], "target_var_name": "y", "target_value": 107, "value_dict": {"q": 15}, "is_reverse": true}}
| 2,092
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = d + 9; z = q + 20; q = 15; f = g + 9; g = e + 20; y = c + 19; i = l + 9; e = z + 11; c = f + 13; o = q + 17; d = b + 3; b = i + 1; l = o + 20. Given that q = 15, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 107,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = f + 13 to y, which gives y = f + 32.\n2. Substitute f = g + 9 to y, which gives y = g + 41.\n3. Substitute g = e + 20 to y, which gives y = e + 61.\n4. Substitute e = z + 11 to y, which gives y = z + 72.\n5. Substitute z = q + 20 to y, which gives y = q + 92.\n6. Substitute q = 15 to y, which gives y = 107.\n\nThus, the final answer is y = \\boxed{107}.",
"index": 2092,
"question": "Suppose a collection of variables is related by the following definitions: s = d + 9; z = q + 20; q = 15; f = g + 9; g = e + 20; y = c + 19; i = l + 9; e = z + 11; c = f + 13; o = q + 17; d = b + 3; b = i + 1; l = o + 20. Given that q = 15, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"q": "h + 7", "p": "q + 14", "s": "p + 5", "u": "s + 19", "y": "u + 7", "m": "y + 12", "w": "h + 18", "r": "w + 20", "b": "r + 18", "i": "b + 12", "v": "i + 20", "c": "v + 5", "h": 15}, "premises": {"h": 15}, "target": "m"}, "answer": {"steps": [["y", "u + 7", "u + 19"], ["u", "s + 19", "s + 38"], ["s", "p + 5", "p + 43"], ["p", "q + 14", "q + 57"], ["q", "h + 7", "h + 64"], ["h", 15, "79"]], "target_var_name": "m", "target_value": 79, "value_dict": {"h": 15}, "is_reverse": true}}
| 2,093
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = w + 20; u = s + 19; w = h + 18; m = y + 12; s = p + 5; y = u + 7; h = 15; i = b + 12; v = i + 20; p = q + 14; b = r + 18; c = v + 5; q = h + 7. If h = 15, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = u + 7 to m, which gives m = u + 19.\n2. Substitute u = s + 19 to m, which gives m = s + 38.\n3. Substitute s = p + 5 to m, which gives m = p + 43.\n4. Substitute p = q + 14 to m, which gives m = q + 57.\n5. Substitute q = h + 7 to m, which gives m = h + 64.\n6. Substitute h = 15 to m, which gives m = 79.\n\nThus, the final answer is m = \\boxed{79}.",
"index": 2093,
"question": "Consider a system of variables where each variable is defined as follows: r = w + 20; u = s + 19; w = h + 18; m = y + 12; s = p + 5; y = u + 7; h = 15; i = b + 12; v = i + 20; p = q + 14; b = r + 18; c = v + 5; q = h + 7. If h = 15, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"a": "c + 10", "g": "a + 9", "b": "g + 10", "q": "b + 7", "w": "q + 5", "p": "w + 10", "r": "c + 2", "s": "r + 13", "k": "s + 18", "o": "k + 19", "z": "o + 1", "l": "z + 5", "c": 17}, "premises": {"c": 17}, "target": "p"}, "answer": {"steps": [["w", "q + 5", "q + 15"], ["q", "b + 7", "b + 22"], ["b", "g + 10", "g + 32"], ["g", "a + 9", "a + 41"], ["a", "c + 10", "c + 51"], ["c", 17, "68"]], "target_var_name": "p", "target_value": 68, "value_dict": {"c": 17}, "is_reverse": true}}
| 2,094
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = 17; p = w + 10; l = z + 5; g = a + 9; a = c + 10; b = g + 10; k = s + 18; o = k + 19; s = r + 13; w = q + 5; z = o + 1; r = c + 2; q = b + 7. If c = 17, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = q + 5 to p, which gives p = q + 15.\n2. Substitute q = b + 7 to p, which gives p = b + 22.\n3. Substitute b = g + 10 to p, which gives p = g + 32.\n4. Substitute g = a + 9 to p, which gives p = a + 41.\n5. Substitute a = c + 10 to p, which gives p = c + 51.\n6. Substitute c = 17 to p, which gives p = 68.\n\nThus, the final answer is p = \\boxed{68}.",
"index": 2094,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = 17; p = w + 10; l = z + 5; g = a + 9; a = c + 10; b = g + 10; k = s + 18; o = k + 19; s = r + 13; w = q + 5; z = o + 1; r = c + 2; q = b + 7. If c = 17, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"s": "o + 16", "i": "s + 13", "n": "i + 12", "c": "n + 14", "r": "c + 6", "q": "r + 19", "u": "o + 13", "h": "u + 10", "w": "h + 12", "z": "w + 6", "p": "z + 20", "j": "p + 7", "o": 5}, "premises": {"o": 5}, "target": "q"}, "answer": {"steps": [["r", "c + 6", "c + 25"], ["c", "n + 14", "n + 39"], ["n", "i + 12", "i + 51"], ["i", "s + 13", "s + 64"], ["s", "o + 16", "o + 80"], ["o", 5, "85"]], "target_var_name": "q", "target_value": 85, "value_dict": {"o": 5}, "is_reverse": true}}
| 2,095
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = 5; q = r + 19; i = s + 13; p = z + 20; c = n + 14; w = h + 12; z = w + 6; u = o + 13; s = o + 16; r = c + 6; n = i + 12; j = p + 7; h = u + 10. Given that o = 5, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = c + 6 to q, which gives q = c + 25.\n2. Substitute c = n + 14 to q, which gives q = n + 39.\n3. Substitute n = i + 12 to q, which gives q = i + 51.\n4. Substitute i = s + 13 to q, which gives q = s + 64.\n5. Substitute s = o + 16 to q, which gives q = o + 80.\n6. Substitute o = 5 to q, which gives q = 85.\n\nThus, the final answer is q = \\boxed{85}.",
"index": 2095,
"question": "Suppose a collection of variables is related by the following definitions: o = 5; q = r + 19; i = s + 13; p = z + 20; c = n + 14; w = h + 12; z = w + 6; u = o + 13; s = o + 16; r = c + 6; n = i + 12; j = p + 7; h = u + 10. Given that o = 5, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"f": "v + 16", "n": "f + 8", "x": "n + 6", "u": "x + 14", "d": "u + 13", "b": "d + 14", "q": "v + 20", "y": "q + 16", "i": "y + 10", "c": "i + 8", "r": "c + 7", "s": "r + 10", "v": 1}, "premises": {"v": 1}, "target": "b"}, "answer": {"steps": [["d", "u + 13", "u + 27"], ["u", "x + 14", "x + 41"], ["x", "n + 6", "n + 47"], ["n", "f + 8", "f + 55"], ["f", "v + 16", "v + 71"], ["v", 1, "72"]], "target_var_name": "b", "target_value": 72, "value_dict": {"v": 1}, "is_reverse": true}}
| 2,096
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = v + 16; u = x + 14; n = f + 8; b = d + 14; q = v + 20; i = y + 10; y = q + 16; s = r + 10; c = i + 8; r = c + 7; v = 1; d = u + 13; x = n + 6. Given that v = 1, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = u + 13 to b, which gives b = u + 27.\n2. Substitute u = x + 14 to b, which gives b = x + 41.\n3. Substitute x = n + 6 to b, which gives b = n + 47.\n4. Substitute n = f + 8 to b, which gives b = f + 55.\n5. Substitute f = v + 16 to b, which gives b = v + 71.\n6. Substitute v = 1 to b, which gives b = 72.\n\nThus, the final answer is b = \\boxed{72}.",
"index": 2096,
"question": "Suppose a collection of variables is related by the following definitions: f = v + 16; u = x + 14; n = f + 8; b = d + 14; q = v + 20; i = y + 10; y = q + 16; s = r + 10; c = i + 8; r = c + 7; v = 1; d = u + 13; x = n + 6. Given that v = 1, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"q": "b + 18", "p": "q + 20", "n": "p + 3", "z": "n + 15", "a": "z + 10", "g": "a + 3", "o": "b + 5", "w": "o + 12", "l": "w + 2", "s": "l + 12", "u": "s + 10", "f": "u + 8", "b": 4}, "premises": {"b": 4}, "target": "g"}, "answer": {"steps": [["a", "z + 10", "z + 13"], ["z", "n + 15", "n + 28"], ["n", "p + 3", "p + 31"], ["p", "q + 20", "q + 51"], ["q", "b + 18", "b + 69"], ["b", 4, "73"]], "target_var_name": "g", "target_value": 73, "value_dict": {"b": 4}, "is_reverse": true}}
| 2,097
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = z + 10; w = o + 12; z = n + 15; p = q + 20; n = p + 3; l = w + 2; g = a + 3; s = l + 12; o = b + 5; f = u + 8; u = s + 10; q = b + 18; b = 4. If b = 4, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = z + 10 to g, which gives g = z + 13.\n2. Substitute z = n + 15 to g, which gives g = n + 28.\n3. Substitute n = p + 3 to g, which gives g = p + 31.\n4. Substitute p = q + 20 to g, which gives g = q + 51.\n5. Substitute q = b + 18 to g, which gives g = b + 69.\n6. Substitute b = 4 to g, which gives g = 73.\n\nThus, the final answer is g = \\boxed{73}.",
"index": 2097,
"question": "Consider a system of variables where each variable is defined as follows: a = z + 10; w = o + 12; z = n + 15; p = q + 20; n = p + 3; l = w + 2; g = a + 3; s = l + 12; o = b + 5; f = u + 8; u = s + 10; q = b + 18; b = 4. If b = 4, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"d": "k + 18", "v": "d + 3", "l": "v + 8", "x": "l + 9", "q": "x + 5", "g": "q + 5", "z": "k + 5", "p": "z + 17", "r": "p + 13", "c": "r + 3", "o": "c + 20", "j": "o + 3", "k": 9}, "premises": {"k": 9}, "target": "g"}, "answer": {"steps": [["q", "x + 5", "x + 10"], ["x", "l + 9", "l + 19"], ["l", "v + 8", "v + 27"], ["v", "d + 3", "d + 30"], ["d", "k + 18", "k + 48"], ["k", 9, "57"]], "target_var_name": "g", "target_value": 57, "value_dict": {"k": 9}, "is_reverse": true}}
| 2,098
| 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 = k + 18; x = l + 9; j = o + 3; k = 9; r = p + 13; o = c + 20; z = k + 5; v = d + 3; q = x + 5; p = z + 17; c = r + 3; g = q + 5; l = v + 8. If k = 9, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = x + 5 to g, which gives g = x + 10.\n2. Substitute x = l + 9 to g, which gives g = l + 19.\n3. Substitute l = v + 8 to g, which gives g = v + 27.\n4. Substitute v = d + 3 to g, which gives g = d + 30.\n5. Substitute d = k + 18 to g, which gives g = k + 48.\n6. Substitute k = 9 to g, which gives g = 57.\n\nThus, the final answer is g = \\boxed{57}.",
"index": 2098,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = k + 18; x = l + 9; j = o + 3; k = 9; r = p + 13; o = c + 20; z = k + 5; v = d + 3; q = x + 5; p = z + 17; c = r + 3; g = q + 5; l = v + 8. If k = 9, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"y": "q + 9", "b": "y + 4", "d": "b + 3", "g": "d + 12", "h": "g + 16", "p": "h + 6", "w": "q + 5", "a": "w + 12", "l": "a + 8", "v": "l + 16", "s": "v + 8", "k": "s + 16", "q": 2}, "premises": {"q": 2}, "target": "p"}, "answer": {"steps": [["h", "g + 16", "g + 22"], ["g", "d + 12", "d + 34"], ["d", "b + 3", "b + 37"], ["b", "y + 4", "y + 41"], ["y", "q + 9", "q + 50"], ["q", 2, "52"]], "target_var_name": "p", "target_value": 52, "value_dict": {"q": 2}, "is_reverse": true}}
| 2,099
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = g + 16; s = v + 8; k = s + 16; b = y + 4; y = q + 9; v = l + 16; w = q + 5; p = h + 6; a = w + 12; g = d + 12; d = b + 3; l = a + 8; q = 2. Given that q = 2, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 52,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = g + 16 to p, which gives p = g + 22.\n2. Substitute g = d + 12 to p, which gives p = d + 34.\n3. Substitute d = b + 3 to p, which gives p = b + 37.\n4. Substitute b = y + 4 to p, which gives p = y + 41.\n5. Substitute y = q + 9 to p, which gives p = q + 50.\n6. Substitute q = 2 to p, which gives p = 52.\n\nThus, the final answer is p = \\boxed{52}.",
"index": 2099,
"question": "Suppose a collection of variables is related by the following definitions: h = g + 16; s = v + 8; k = s + 16; b = y + 4; y = q + 9; v = l + 16; w = q + 5; p = h + 6; a = w + 12; g = d + 12; d = b + 3; l = a + 8; q = 2. Given that q = 2, find the value of p.",
"split": "train"
}
|
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