meta stringlengths 493 517 | id int64 0 25.6k | problem_solution_idx int64 0 0 | world_id stringclasses 1 value | data_source stringclasses 1 value | prompt listlengths 1 1 | ability stringclasses 1 value | reward_model dict | extra_info dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"c": "w + 19", "m": "c + 12", "z": "m + 13", "v": "z + 1", "a": "v + 4", "t": "a + 8", "k": "w + 11", "y": "k + 17", "u": "y + 9", "o": "u + 13", "h": "o + 19", "g": "h + 1", "w": 12}, "premises": {"w": 12}, "target": "t"}, "answer": {"steps": [["a", "v + 4", "v + 12"], ["v", "z + 1", "z + 13"], ["z", "m + 13", "m + 26"], ["m", "c + 12", "c + 38"], ["c", "w + 19", "w + 57"], ["w", 12, "69"]], "target_var_name": "t", "target_value": 69, "value_dict": {"w": 12}, "is_reverse": true}} | 7,900 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = z + 1; h = o + 19; z = m + 13; c = w + 19; t = a + 8; y = k + 17; w = 12; o = u + 13; k = w + 11; g = h + 1; m = c + 12; a = v + 4; u = y + 9. Given that w = 12, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = v + 4 to t, which gives t = v + 12.\n2. Substitute v = z + 1 to t, which gives t = z + 13.\n3. Substitute z = m + 13 to t, which gives t = m + 26.\n4. Substitute m = c + 12 to t, which gives t = c + 38.\n5. Substitute c = w + 19 to t, which gives t = w + 57.\n6. Substitute w = 12 to t, which gives t = 69.\n\nThus, the final answer is t = \\boxed{69}.",
"index": 7900,
"question": "Suppose a collection of variables is related by the following definitions: v = z + 1; h = o + 19; z = m + 13; c = w + 19; t = a + 8; y = k + 17; w = 12; o = u + 13; k = w + 11; g = h + 1; m = c + 12; a = v + 4; u = y + 9. Given that w = 12, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"x": "b + 14", "i": "x + 6", "d": "i + 9", "h": "d + 3", "t": "h + 13", "c": "t + 2", "g": "b + 2", "w": "g + 13", "a": "w + 2", "j": "a + 4", "f": "j + 20", "v": "f + 10", "b": 1}, "premises": {"b": 1}, "target": "c"}, "answer": {"steps": [["t", "h + 13", "h + 15"], ["h", "d + 3", "d + 18"], ["d", "i + 9", "i + 27"], ["i", "x + 6", "x + 33"], ["x", "b + 14", "b + 47"], ["b", 1, "48"]], "target_var_name": "c", "target_value": 48, "value_dict": {"b": 1}, "is_reverse": true}} | 7,901 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = t + 2; v = f + 10; g = b + 2; x = b + 14; j = a + 4; h = d + 3; i = x + 6; w = g + 13; t = h + 13; a = w + 2; b = 1; d = i + 9; f = j + 20. If b = 1, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = h + 13 to c, which gives c = h + 15.\n2. Substitute h = d + 3 to c, which gives c = d + 18.\n3. Substitute d = i + 9 to c, which gives c = i + 27.\n4. Substitute i = x + 6 to c, which gives c = x + 33.\n5. Substitute x = b + 14 to c, which gives c = b + 47.\n6. Substitute b = 1 to c, which gives c = 48.\n\nThus, the final answer is c = \\boxed{48}.",
"index": 7901,
"question": "Consider a system of variables where each variable is defined as follows: c = t + 2; v = f + 10; g = b + 2; x = b + 14; j = a + 4; h = d + 3; i = x + 6; w = g + 13; t = h + 13; a = w + 2; b = 1; d = i + 9; f = j + 20. If b = 1, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"t": "v + 12", "l": "t + 11", "m": "l + 5", "z": "m + 13", "k": "z + 10", "f": "k + 17", "i": "v + 11", "s": "i + 7", "g": "s + 12", "c": "g + 15", "h": "c + 15", "d": "h + 1", "v": 5}, "premises": {"v": 5}, "target": "f"}, "answer": {"steps": [["k", "z + 10", "z + 27"], ["z", "m + 13", "m + 40"], ["m", "l + 5", "l + 45"], ["l", "t + 11", "t + 56"], ["t", "v + 12", "v + 68"], ["v", 5, "73"]], "target_var_name": "f", "target_value": 73, "value_dict": {"v": 5}, "is_reverse": true}} | 7,902 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = s + 12; v = 5; c = g + 15; i = v + 11; m = l + 5; l = t + 11; d = h + 1; k = z + 10; h = c + 15; t = v + 12; f = k + 17; s = i + 7; z = m + 13. If v = 5, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = z + 10 to f, which gives f = z + 27.\n2. Substitute z = m + 13 to f, which gives f = m + 40.\n3. Substitute m = l + 5 to f, which gives f = l + 45.\n4. Substitute l = t + 11 to f, which gives f = t + 56.\n5. Substitute t = v + 12 to f, which gives f = v + 68.\n6. Substitute v = 5 to f, which gives f = 73.\n\nThus, the final answer is f = \\boxed{73}.",
"index": 7902,
"question": "Consider a system of variables where each variable is defined as follows: g = s + 12; v = 5; c = g + 15; i = v + 11; m = l + 5; l = t + 11; d = h + 1; k = z + 10; h = c + 15; t = v + 12; f = k + 17; s = i + 7; z = m + 13. If v = 5, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"i": "n + 8", "x": "i + 8", "j": "x + 10", "l": "j + 11", "w": "l + 8", "p": "w + 7", "g": "n + 16", "c": "g + 5", "r": "c + 11", "t": "r + 15", "m": "t + 11", "h": "m + 19", "n": 3}, "premises": {"n": 3}, "target": "p"}, "answer": {"steps": [["w", "l + 8", "l + 15"], ["l", "j + 11", "j + 26"], ["j", "x + 10", "x + 36"], ["x", "i + 8", "i + 44"], ["i", "n + 8", "n + 52"], ["n", 3, "55"]], "target_var_name": "p", "target_value": 55, "value_dict": {"n": 3}, "is_reverse": true}} | 7,903 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = m + 19; p = w + 7; r = c + 11; l = j + 11; i = n + 8; n = 3; w = l + 8; m = t + 11; g = n + 16; j = x + 10; x = i + 8; t = r + 15; c = g + 5. Given that n = 3, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = l + 8 to p, which gives p = l + 15.\n2. Substitute l = j + 11 to p, which gives p = j + 26.\n3. Substitute j = x + 10 to p, which gives p = x + 36.\n4. Substitute x = i + 8 to p, which gives p = i + 44.\n5. Substitute i = n + 8 to p, which gives p = n + 52.\n6. Substitute n = 3 to p, which gives p = 55.\n\nThus, the final answer is p = \\boxed{55}.",
"index": 7903,
"question": "Suppose a collection of variables is related by the following definitions: h = m + 19; p = w + 7; r = c + 11; l = j + 11; i = n + 8; n = 3; w = l + 8; m = t + 11; g = n + 16; j = x + 10; x = i + 8; t = r + 15; c = g + 5. Given that n = 3, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"e": "c + 2", "n": "e + 2", "k": "n + 17", "a": "k + 10", "j": "a + 2", "f": "j + 7", "m": "c + 11", "y": "m + 19", "v": "y + 15", "i": "v + 6", "z": "i + 2", "w": "z + 18", "c": 2}, "premises": {"c": 2}, "target": "f"}, "answer": {"steps": [["j", "a + 2", "a + 9"], ["a", "k + 10", "k + 19"], ["k", "n + 17", "n + 36"], ["n", "e + 2", "e + 38"], ["e", "c + 2", "c + 40"], ["c", 2, "42"]], "target_var_name": "f", "target_value": 42, "value_dict": {"c": 2}, "is_reverse": true}} | 7,904 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = k + 10; k = n + 17; f = j + 7; w = z + 18; c = 2; j = a + 2; y = m + 19; v = y + 15; z = i + 2; n = e + 2; m = c + 11; i = v + 6; e = c + 2. If c = 2, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 42,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = a + 2 to f, which gives f = a + 9.\n2. Substitute a = k + 10 to f, which gives f = k + 19.\n3. Substitute k = n + 17 to f, which gives f = n + 36.\n4. Substitute n = e + 2 to f, which gives f = e + 38.\n5. Substitute e = c + 2 to f, which gives f = c + 40.\n6. Substitute c = 2 to f, which gives f = 42.\n\nThus, the final answer is f = \\boxed{42}.",
"index": 7904,
"question": "Consider a system of variables where each variable is defined as follows: a = k + 10; k = n + 17; f = j + 7; w = z + 18; c = 2; j = a + 2; y = m + 19; v = y + 15; z = i + 2; n = e + 2; m = c + 11; i = v + 6; e = c + 2. If c = 2, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"e": "b + 5", "m": "e + 2", "w": "m + 5", "z": "w + 17", "d": "z + 13", "n": "d + 1", "a": "b + 1", "x": "a + 3", "l": "x + 14", "u": "l + 15", "s": "u + 12", "r": "s + 11", "b": 10}, "premises": {"b": 10}, "target": "n"}, "answer": {"steps": [["d", "z + 13", "z + 14"], ["z", "w + 17", "w + 31"], ["w", "m + 5", "m + 36"], ["m", "e + 2", "e + 38"], ["e", "b + 5", "b + 43"], ["b", 10, "53"]], "target_var_name": "n", "target_value": 53, "value_dict": {"b": 10}, "is_reverse": true}} | 7,905 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = e + 2; x = a + 3; l = x + 14; e = b + 5; n = d + 1; w = m + 5; d = z + 13; r = s + 11; z = w + 17; a = b + 1; b = 10; s = u + 12; u = l + 15. If b = 10, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = z + 13 to n, which gives n = z + 14.\n2. Substitute z = w + 17 to n, which gives n = w + 31.\n3. Substitute w = m + 5 to n, which gives n = m + 36.\n4. Substitute m = e + 2 to n, which gives n = e + 38.\n5. Substitute e = b + 5 to n, which gives n = b + 43.\n6. Substitute b = 10 to n, which gives n = 53.\n\nThus, the final answer is n = \\boxed{53}.",
"index": 7905,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = e + 2; x = a + 3; l = x + 14; e = b + 5; n = d + 1; w = m + 5; d = z + 13; r = s + 11; z = w + 17; a = b + 1; b = 10; s = u + 12; u = l + 15. If b = 10, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"b": "a + 14", "y": "b + 16", "t": "y + 9", "o": "t + 5", "d": "o + 2", "v": "d + 2", "m": "a + 8", "r": "m + 8", "w": "r + 8", "x": "w + 16", "j": "x + 2", "u": "j + 16", "a": 12}, "premises": {"a": 12}, "target": "v"}, "answer": {"steps": [["d", "o + 2", "o + 4"], ["o", "t + 5", "t + 9"], ["t", "y + 9", "y + 18"], ["y", "b + 16", "b + 34"], ["b", "a + 14", "a + 48"], ["a", 12, "60"]], "target_var_name": "v", "target_value": 60, "value_dict": {"a": 12}, "is_reverse": true}} | 7,906 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = a + 14; o = t + 5; m = a + 8; t = y + 9; x = w + 16; j = x + 2; r = m + 8; v = d + 2; d = o + 2; a = 12; y = b + 16; w = r + 8; u = j + 16. If a = 12, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = o + 2 to v, which gives v = o + 4.\n2. Substitute o = t + 5 to v, which gives v = t + 9.\n3. Substitute t = y + 9 to v, which gives v = y + 18.\n4. Substitute y = b + 16 to v, which gives v = b + 34.\n5. Substitute b = a + 14 to v, which gives v = a + 48.\n6. Substitute a = 12 to v, which gives v = 60.\n\nThus, the final answer is v = \\boxed{60}.",
"index": 7906,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = a + 14; o = t + 5; m = a + 8; t = y + 9; x = w + 16; j = x + 2; r = m + 8; v = d + 2; d = o + 2; a = 12; y = b + 16; w = r + 8; u = j + 16. If a = 12, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"n": "f + 9", "p": "n + 17", "o": "p + 12", "l": "o + 19", "s": "l + 16", "b": "s + 16", "r": "f + 16", "t": "r + 2", "j": "t + 2", "q": "j + 12", "i": "q + 5", "u": "i + 3", "f": 10}, "premises": {"f": 10}, "target": "b"}, "answer": {"steps": [["s", "l + 16", "l + 32"], ["l", "o + 19", "o + 51"], ["o", "p + 12", "p + 63"], ["p", "n + 17", "n + 80"], ["n", "f + 9", "f + 89"], ["f", 10, "99"]], "target_var_name": "b", "target_value": 99, "value_dict": {"f": 10}, "is_reverse": true}} | 7,907 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = q + 5; o = p + 12; u = i + 3; b = s + 16; p = n + 17; r = f + 16; s = l + 16; l = o + 19; j = t + 2; n = f + 9; q = j + 12; f = 10; t = r + 2. If f = 10, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = l + 16 to b, which gives b = l + 32.\n2. Substitute l = o + 19 to b, which gives b = o + 51.\n3. Substitute o = p + 12 to b, which gives b = p + 63.\n4. Substitute p = n + 17 to b, which gives b = n + 80.\n5. Substitute n = f + 9 to b, which gives b = f + 89.\n6. Substitute f = 10 to b, which gives b = 99.\n\nThus, the final answer is b = \\boxed{99}.",
"index": 7907,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = q + 5; o = p + 12; u = i + 3; b = s + 16; p = n + 17; r = f + 16; s = l + 16; l = o + 19; j = t + 2; n = f + 9; q = j + 12; f = 10; t = r + 2. If f = 10, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"o": "w + 3", "p": "o + 1", "q": "p + 20", "l": "q + 16", "x": "l + 8", "u": "x + 13", "b": "w + 6", "j": "b + 4", "m": "j + 12", "z": "m + 5", "f": "z + 18", "r": "f + 11", "w": 3}, "premises": {"w": 3}, "target": "u"}, "answer": {"steps": [["x", "l + 8", "l + 21"], ["l", "q + 16", "q + 37"], ["q", "p + 20", "p + 57"], ["p", "o + 1", "o + 58"], ["o", "w + 3", "w + 61"], ["w", 3, "64"]], "target_var_name": "u", "target_value": 64, "value_dict": {"w": 3}, "is_reverse": true}} | 7,908 | 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 + 18; q = p + 20; m = j + 12; u = x + 13; r = f + 11; l = q + 16; z = m + 5; o = w + 3; w = 3; x = l + 8; p = o + 1; j = b + 4; b = w + 6. If w = 3, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = l + 8 to u, which gives u = l + 21.\n2. Substitute l = q + 16 to u, which gives u = q + 37.\n3. Substitute q = p + 20 to u, which gives u = p + 57.\n4. Substitute p = o + 1 to u, which gives u = o + 58.\n5. Substitute o = w + 3 to u, which gives u = w + 61.\n6. Substitute w = 3 to u, which gives u = 64.\n\nThus, the final answer is u = \\boxed{64}.",
"index": 7908,
"question": "Consider a system of variables where each variable is defined as follows: f = z + 18; q = p + 20; m = j + 12; u = x + 13; r = f + 11; l = q + 16; z = m + 5; o = w + 3; w = 3; x = l + 8; p = o + 1; j = b + 4; b = w + 6. If w = 3, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"b": "r + 20", "j": "b + 2", "p": "j + 18", "o": "p + 14", "y": "o + 13", "z": "y + 9", "u": "r + 9", "c": "u + 15", "g": "c + 20", "a": "g + 3", "m": "a + 14", "l": "m + 16", "r": 4}, "premises": {"r": 4}, "target": "z"}, "answer": {"steps": [["y", "o + 13", "o + 22"], ["o", "p + 14", "p + 36"], ["p", "j + 18", "j + 54"], ["j", "b + 2", "b + 56"], ["b", "r + 20", "r + 76"], ["r", 4, "80"]], "target_var_name": "z", "target_value": 80, "value_dict": {"r": 4}, "is_reverse": true}} | 7,909 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = a + 14; g = c + 20; o = p + 14; p = j + 18; y = o + 13; j = b + 2; z = y + 9; u = r + 9; c = u + 15; a = g + 3; b = r + 20; l = m + 16; r = 4. If r = 4, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = o + 13 to z, which gives z = o + 22.\n2. Substitute o = p + 14 to z, which gives z = p + 36.\n3. Substitute p = j + 18 to z, which gives z = j + 54.\n4. Substitute j = b + 2 to z, which gives z = b + 56.\n5. Substitute b = r + 20 to z, which gives z = r + 76.\n6. Substitute r = 4 to z, which gives z = 80.\n\nThus, the final answer is z = \\boxed{80}.",
"index": 7909,
"question": "Consider a system of variables where each variable is defined as follows: m = a + 14; g = c + 20; o = p + 14; p = j + 18; y = o + 13; j = b + 2; z = y + 9; u = r + 9; c = u + 15; a = g + 3; b = r + 20; l = m + 16; r = 4. If r = 4, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"z": "i + 17", "f": "z + 4", "c": "f + 9", "n": "c + 18", "h": "n + 14", "b": "h + 11", "v": "i + 8", "r": "v + 10", "u": "r + 14", "t": "u + 12", "s": "t + 14", "m": "s + 6", "i": 6}, "premises": {"i": 6}, "target": "b"}, "answer": {"steps": [["h", "n + 14", "n + 25"], ["n", "c + 18", "c + 43"], ["c", "f + 9", "f + 52"], ["f", "z + 4", "z + 56"], ["z", "i + 17", "i + 73"], ["i", 6, "79"]], "target_var_name": "b", "target_value": 79, "value_dict": {"i": 6}, "is_reverse": true}} | 7,910 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = i + 17; t = u + 12; i = 6; r = v + 10; m = s + 6; n = c + 18; b = h + 11; c = f + 9; s = t + 14; h = n + 14; u = r + 14; v = i + 8; f = z + 4. If i = 6, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = n + 14 to b, which gives b = n + 25.\n2. Substitute n = c + 18 to b, which gives b = c + 43.\n3. Substitute c = f + 9 to b, which gives b = f + 52.\n4. Substitute f = z + 4 to b, which gives b = z + 56.\n5. Substitute z = i + 17 to b, which gives b = i + 73.\n6. Substitute i = 6 to b, which gives b = 79.\n\nThus, the final answer is b = \\boxed{79}.",
"index": 7910,
"question": "Consider a system of variables where each variable is defined as follows: z = i + 17; t = u + 12; i = 6; r = v + 10; m = s + 6; n = c + 18; b = h + 11; c = f + 9; s = t + 14; h = n + 14; u = r + 14; v = i + 8; f = z + 4. If i = 6, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"r": "c + 1", "d": "r + 16", "t": "d + 5", "m": "t + 19", "e": "m + 9", "j": "e + 12", "p": "c + 14", "o": "p + 19", "a": "o + 15", "b": "a + 7", "x": "b + 1", "s": "x + 16", "c": 7}, "premises": {"c": 7}, "target": "j"}, "answer": {"steps": [["e", "m + 9", "m + 21"], ["m", "t + 19", "t + 40"], ["t", "d + 5", "d + 45"], ["d", "r + 16", "r + 61"], ["r", "c + 1", "c + 62"], ["c", 7, "69"]], "target_var_name": "j", "target_value": 69, "value_dict": {"c": 7}, "is_reverse": true}} | 7,911 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = a + 7; m = t + 19; p = c + 14; a = o + 15; s = x + 16; t = d + 5; x = b + 1; d = r + 16; o = p + 19; e = m + 9; c = 7; j = e + 12; r = c + 1. Given that c = 7, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = m + 9 to j, which gives j = m + 21.\n2. Substitute m = t + 19 to j, which gives j = t + 40.\n3. Substitute t = d + 5 to j, which gives j = d + 45.\n4. Substitute d = r + 16 to j, which gives j = r + 61.\n5. Substitute r = c + 1 to j, which gives j = c + 62.\n6. Substitute c = 7 to j, which gives j = 69.\n\nThus, the final answer is j = \\boxed{69}.",
"index": 7911,
"question": "Suppose a collection of variables is related by the following definitions: b = a + 7; m = t + 19; p = c + 14; a = o + 15; s = x + 16; t = d + 5; x = b + 1; d = r + 16; o = p + 19; e = m + 9; c = 7; j = e + 12; r = c + 1. Given that c = 7, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"t": "k + 3", "z": "t + 20", "e": "z + 3", "f": "e + 2", "l": "f + 12", "j": "l + 19", "r": "k + 4", "u": "r + 20", "b": "u + 20", "i": "b + 4", "w": "i + 13", "n": "w + 10", "k": 7}, "premises": {"k": 7}, "target": "j"}, "answer": {"steps": [["l", "f + 12", "f + 31"], ["f", "e + 2", "e + 33"], ["e", "z + 3", "z + 36"], ["z", "t + 20", "t + 56"], ["t", "k + 3", "k + 59"], ["k", 7, "66"]], "target_var_name": "j", "target_value": 66, "value_dict": {"k": 7}, "is_reverse": true}} | 7,912 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = e + 2; e = z + 3; i = b + 4; t = k + 3; n = w + 10; z = t + 20; j = l + 19; u = r + 20; l = f + 12; b = u + 20; k = 7; r = k + 4; w = i + 13. Given that k = 7, 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 l = f + 12 to j, which gives j = f + 31.\n2. Substitute f = e + 2 to j, which gives j = e + 33.\n3. Substitute e = z + 3 to j, which gives j = z + 36.\n4. Substitute z = t + 20 to j, which gives j = t + 56.\n5. Substitute t = k + 3 to j, which gives j = k + 59.\n6. Substitute k = 7 to j, which gives j = 66.\n\nThus, the final answer is j = \\boxed{66}.",
"index": 7912,
"question": "Suppose a collection of variables is related by the following definitions: f = e + 2; e = z + 3; i = b + 4; t = k + 3; n = w + 10; z = t + 20; j = l + 19; u = r + 20; l = f + 12; b = u + 20; k = 7; r = k + 4; w = i + 13. Given that k = 7, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"u": "k + 2", "o": "u + 9", "p": "o + 11", "i": "p + 12", "l": "i + 3", "y": "l + 12", "f": "k + 15", "j": "f + 3", "z": "j + 18", "t": "z + 1", "v": "t + 11", "n": "v + 18", "k": 14}, "premises": {"k": 14}, "target": "y"}, "answer": {"steps": [["l", "i + 3", "i + 15"], ["i", "p + 12", "p + 27"], ["p", "o + 11", "o + 38"], ["o", "u + 9", "u + 47"], ["u", "k + 2", "k + 49"], ["k", 14, "63"]], "target_var_name": "y", "target_value": 63, "value_dict": {"k": 14}, "is_reverse": true}} | 7,913 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = i + 3; u = k + 2; f = k + 15; i = p + 12; j = f + 3; n = v + 18; v = t + 11; p = o + 11; y = l + 12; o = u + 9; k = 14; t = z + 1; z = j + 18. If k = 14, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = i + 3 to y, which gives y = i + 15.\n2. Substitute i = p + 12 to y, which gives y = p + 27.\n3. Substitute p = o + 11 to y, which gives y = o + 38.\n4. Substitute o = u + 9 to y, which gives y = u + 47.\n5. Substitute u = k + 2 to y, which gives y = k + 49.\n6. Substitute k = 14 to y, which gives y = 63.\n\nThus, the final answer is y = \\boxed{63}.",
"index": 7913,
"question": "Consider a system of variables where each variable is defined as follows: l = i + 3; u = k + 2; f = k + 15; i = p + 12; j = f + 3; n = v + 18; v = t + 11; p = o + 11; y = l + 12; o = u + 9; k = 14; t = z + 1; z = j + 18. If k = 14, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"k": "y + 10", "u": "k + 8", "c": "u + 11", "j": "c + 9", "o": "j + 5", "a": "o + 16", "b": "y + 16", "d": "b + 20", "g": "d + 5", "f": "g + 14", "n": "f + 14", "z": "n + 3", "y": 20}, "premises": {"y": 20}, "target": "a"}, "answer": {"steps": [["o", "j + 5", "j + 21"], ["j", "c + 9", "c + 30"], ["c", "u + 11", "u + 41"], ["u", "k + 8", "k + 49"], ["k", "y + 10", "y + 59"], ["y", 20, "79"]], "target_var_name": "a", "target_value": 79, "value_dict": {"y": 20}, "is_reverse": true}} | 7,914 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = d + 5; n = f + 14; y = 20; d = b + 20; a = o + 16; b = y + 16; f = g + 14; o = j + 5; z = n + 3; j = c + 9; c = u + 11; u = k + 8; k = y + 10. Given that y = 20, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = j + 5 to a, which gives a = j + 21.\n2. Substitute j = c + 9 to a, which gives a = c + 30.\n3. Substitute c = u + 11 to a, which gives a = u + 41.\n4. Substitute u = k + 8 to a, which gives a = k + 49.\n5. Substitute k = y + 10 to a, which gives a = y + 59.\n6. Substitute y = 20 to a, which gives a = 79.\n\nThus, the final answer is a = \\boxed{79}.",
"index": 7914,
"question": "Suppose a collection of variables is related by the following definitions: g = d + 5; n = f + 14; y = 20; d = b + 20; a = o + 16; b = y + 16; f = g + 14; o = j + 5; z = n + 3; j = c + 9; c = u + 11; u = k + 8; k = y + 10. Given that y = 20, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"j": "q + 19", "n": "j + 14", "z": "n + 18", "a": "z + 11", "s": "a + 5", "b": "s + 4", "t": "q + 16", "u": "t + 12", "o": "u + 6", "f": "o + 2", "c": "f + 20", "d": "c + 1", "q": 19}, "premises": {"q": 19}, "target": "b"}, "answer": {"steps": [["s", "a + 5", "a + 9"], ["a", "z + 11", "z + 20"], ["z", "n + 18", "n + 38"], ["n", "j + 14", "j + 52"], ["j", "q + 19", "q + 71"], ["q", 19, "90"]], "target_var_name": "b", "target_value": 90, "value_dict": {"q": 19}, "is_reverse": true}} | 7,915 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = o + 2; n = j + 14; s = a + 5; j = q + 19; b = s + 4; o = u + 6; t = q + 16; z = n + 18; q = 19; a = z + 11; d = c + 1; c = f + 20; u = t + 12. If q = 19, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = a + 5 to b, which gives b = a + 9.\n2. Substitute a = z + 11 to b, which gives b = z + 20.\n3. Substitute z = n + 18 to b, which gives b = n + 38.\n4. Substitute n = j + 14 to b, which gives b = j + 52.\n5. Substitute j = q + 19 to b, which gives b = q + 71.\n6. Substitute q = 19 to b, which gives b = 90.\n\nThus, the final answer is b = \\boxed{90}.",
"index": 7915,
"question": "Consider a system of variables where each variable is defined as follows: f = o + 2; n = j + 14; s = a + 5; j = q + 19; b = s + 4; o = u + 6; t = q + 16; z = n + 18; q = 19; a = z + 11; d = c + 1; c = f + 20; u = t + 12. If q = 19, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"p": "f + 14", "a": "p + 4", "w": "a + 16", "m": "w + 13", "x": "m + 4", "o": "x + 12", "l": "f + 5", "i": "l + 9", "h": "i + 8", "z": "h + 12", "d": "z + 20", "q": "d + 4", "f": 6}, "premises": {"f": 6}, "target": "o"}, "answer": {"steps": [["x", "m + 4", "m + 16"], ["m", "w + 13", "w + 29"], ["w", "a + 16", "a + 45"], ["a", "p + 4", "p + 49"], ["p", "f + 14", "f + 63"], ["f", 6, "69"]], "target_var_name": "o", "target_value": 69, "value_dict": {"f": 6}, "is_reverse": true}} | 7,916 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = a + 16; o = x + 12; m = w + 13; q = d + 4; l = f + 5; d = z + 20; x = m + 4; z = h + 12; f = 6; h = i + 8; i = l + 9; a = p + 4; p = f + 14. Given that f = 6, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = m + 4 to o, which gives o = m + 16.\n2. Substitute m = w + 13 to o, which gives o = w + 29.\n3. Substitute w = a + 16 to o, which gives o = a + 45.\n4. Substitute a = p + 4 to o, which gives o = p + 49.\n5. Substitute p = f + 14 to o, which gives o = f + 63.\n6. Substitute f = 6 to o, which gives o = 69.\n\nThus, the final answer is o = \\boxed{69}.",
"index": 7916,
"question": "Suppose a collection of variables is related by the following definitions: w = a + 16; o = x + 12; m = w + 13; q = d + 4; l = f + 5; d = z + 20; x = m + 4; z = h + 12; f = 6; h = i + 8; i = l + 9; a = p + 4; p = f + 14. Given that f = 6, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"y": "b + 13", "l": "y + 9", "k": "l + 12", "o": "k + 6", "p": "o + 17", "f": "p + 9", "i": "b + 18", "h": "i + 2", "q": "h + 1", "r": "q + 9", "x": "r + 16", "z": "x + 15", "b": 4}, "premises": {"b": 4}, "target": "f"}, "answer": {"steps": [["p", "o + 17", "o + 26"], ["o", "k + 6", "k + 32"], ["k", "l + 12", "l + 44"], ["l", "y + 9", "y + 53"], ["y", "b + 13", "b + 66"], ["b", 4, "70"]], "target_var_name": "f", "target_value": 70, "value_dict": {"b": 4}, "is_reverse": true}} | 7,917 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = y + 9; y = b + 13; o = k + 6; i = b + 18; p = o + 17; k = l + 12; r = q + 9; h = i + 2; q = h + 1; z = x + 15; x = r + 16; b = 4; f = p + 9. Given that b = 4, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = o + 17 to f, which gives f = o + 26.\n2. Substitute o = k + 6 to f, which gives f = k + 32.\n3. Substitute k = l + 12 to f, which gives f = l + 44.\n4. Substitute l = y + 9 to f, which gives f = y + 53.\n5. Substitute y = b + 13 to f, which gives f = b + 66.\n6. Substitute b = 4 to f, which gives f = 70.\n\nThus, the final answer is f = \\boxed{70}.",
"index": 7917,
"question": "Suppose a collection of variables is related by the following definitions: l = y + 9; y = b + 13; o = k + 6; i = b + 18; p = o + 17; k = l + 12; r = q + 9; h = i + 2; q = h + 1; z = x + 15; x = r + 16; b = 4; f = p + 9. Given that b = 4, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"s": "e + 13", "u": "s + 2", "l": "u + 14", "p": "l + 2", "o": "p + 6", "y": "o + 20", "c": "e + 12", "z": "c + 17", "v": "z + 16", "w": "v + 4", "t": "w + 2", "d": "t + 18", "e": 2}, "premises": {"e": 2}, "target": "y"}, "answer": {"steps": [["o", "p + 6", "p + 26"], ["p", "l + 2", "l + 28"], ["l", "u + 14", "u + 42"], ["u", "s + 2", "s + 44"], ["s", "e + 13", "e + 57"], ["e", 2, "59"]], "target_var_name": "y", "target_value": 59, "value_dict": {"e": 2}, "is_reverse": true}} | 7,918 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = z + 16; c = e + 12; y = o + 20; z = c + 17; s = e + 13; p = l + 2; e = 2; d = t + 18; t = w + 2; l = u + 14; w = v + 4; u = s + 2; o = p + 6. If e = 2, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = p + 6 to y, which gives y = p + 26.\n2. Substitute p = l + 2 to y, which gives y = l + 28.\n3. Substitute l = u + 14 to y, which gives y = u + 42.\n4. Substitute u = s + 2 to y, which gives y = s + 44.\n5. Substitute s = e + 13 to y, which gives y = e + 57.\n6. Substitute e = 2 to y, which gives y = 59.\n\nThus, the final answer is y = \\boxed{59}.",
"index": 7918,
"question": "Consider a system of variables where each variable is defined as follows: v = z + 16; c = e + 12; y = o + 20; z = c + 17; s = e + 13; p = l + 2; e = 2; d = t + 18; t = w + 2; l = u + 14; w = v + 4; u = s + 2; o = p + 6. If e = 2, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"e": "a + 14", "y": "e + 19", "m": "y + 3", "t": "m + 16", "i": "t + 3", "d": "i + 5", "p": "a + 11", "c": "p + 6", "j": "c + 11", "o": "j + 9", "q": "o + 13", "g": "q + 5", "a": 17}, "premises": {"a": 17}, "target": "d"}, "answer": {"steps": [["i", "t + 3", "t + 8"], ["t", "m + 16", "m + 24"], ["m", "y + 3", "y + 27"], ["y", "e + 19", "e + 46"], ["e", "a + 14", "a + 60"], ["a", 17, "77"]], "target_var_name": "d", "target_value": 77, "value_dict": {"a": 17}, "is_reverse": true}} | 7,919 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = p + 6; d = i + 5; a = 17; y = e + 19; t = m + 16; q = o + 13; o = j + 9; g = q + 5; p = a + 11; i = t + 3; m = y + 3; j = c + 11; e = a + 14. If a = 17, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = t + 3 to d, which gives d = t + 8.\n2. Substitute t = m + 16 to d, which gives d = m + 24.\n3. Substitute m = y + 3 to d, which gives d = y + 27.\n4. Substitute y = e + 19 to d, which gives d = e + 46.\n5. Substitute e = a + 14 to d, which gives d = a + 60.\n6. Substitute a = 17 to d, which gives d = 77.\n\nThus, the final answer is d = \\boxed{77}.",
"index": 7919,
"question": "Consider a system of variables where each variable is defined as follows: c = p + 6; d = i + 5; a = 17; y = e + 19; t = m + 16; q = o + 13; o = j + 9; g = q + 5; p = a + 11; i = t + 3; m = y + 3; j = c + 11; e = a + 14. If a = 17, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"l": "d + 15", "m": "l + 14", "r": "m + 11", "u": "r + 13", "y": "u + 8", "t": "y + 16", "e": "d + 19", "w": "e + 6", "s": "w + 19", "v": "s + 2", "q": "v + 11", "n": "q + 16", "d": 18}, "premises": {"d": 18}, "target": "t"}, "answer": {"steps": [["y", "u + 8", "u + 24"], ["u", "r + 13", "r + 37"], ["r", "m + 11", "m + 48"], ["m", "l + 14", "l + 62"], ["l", "d + 15", "d + 77"], ["d", 18, "95"]], "target_var_name": "t", "target_value": 95, "value_dict": {"d": 18}, "is_reverse": true}} | 7,920 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = m + 11; s = w + 19; e = d + 19; t = y + 16; u = r + 13; d = 18; y = u + 8; q = v + 11; v = s + 2; n = q + 16; w = e + 6; m = l + 14; l = d + 15. If d = 18, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = u + 8 to t, which gives t = u + 24.\n2. Substitute u = r + 13 to t, which gives t = r + 37.\n3. Substitute r = m + 11 to t, which gives t = m + 48.\n4. Substitute m = l + 14 to t, which gives t = l + 62.\n5. Substitute l = d + 15 to t, which gives t = d + 77.\n6. Substitute d = 18 to t, which gives t = 95.\n\nThus, the final answer is t = \\boxed{95}.",
"index": 7920,
"question": "Consider a system of variables where each variable is defined as follows: r = m + 11; s = w + 19; e = d + 19; t = y + 16; u = r + 13; d = 18; y = u + 8; q = v + 11; v = s + 2; n = q + 16; w = e + 6; m = l + 14; l = d + 15. If d = 18, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"d": "o + 4", "v": "d + 20", "c": "v + 14", "f": "c + 18", "l": "f + 7", "x": "l + 3", "y": "o + 6", "j": "y + 6", "i": "j + 13", "t": "i + 11", "s": "t + 3", "g": "s + 5", "o": 14}, "premises": {"o": 14}, "target": "x"}, "answer": {"steps": [["l", "f + 7", "f + 10"], ["f", "c + 18", "c + 28"], ["c", "v + 14", "v + 42"], ["v", "d + 20", "d + 62"], ["d", "o + 4", "o + 66"], ["o", 14, "80"]], "target_var_name": "x", "target_value": 80, "value_dict": {"o": 14}, "is_reverse": true}} | 7,921 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = 14; v = d + 20; l = f + 7; t = i + 11; d = o + 4; i = j + 13; x = l + 3; f = c + 18; j = y + 6; s = t + 3; g = s + 5; y = o + 6; c = v + 14. If o = 14, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = f + 7 to x, which gives x = f + 10.\n2. Substitute f = c + 18 to x, which gives x = c + 28.\n3. Substitute c = v + 14 to x, which gives x = v + 42.\n4. Substitute v = d + 20 to x, which gives x = d + 62.\n5. Substitute d = o + 4 to x, which gives x = o + 66.\n6. Substitute o = 14 to x, which gives x = 80.\n\nThus, the final answer is x = \\boxed{80}.",
"index": 7921,
"question": "Consider a system of variables where each variable is defined as follows: o = 14; v = d + 20; l = f + 7; t = i + 11; d = o + 4; i = j + 13; x = l + 3; f = c + 18; j = y + 6; s = t + 3; g = s + 5; y = o + 6; c = v + 14. If o = 14, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"e": "q + 10", "l": "e + 18", "h": "l + 9", "z": "h + 4", "b": "z + 18", "o": "b + 12", "j": "q + 11", "x": "j + 10", "i": "x + 6", "a": "i + 1", "w": "a + 4", "k": "w + 12", "q": 14}, "premises": {"q": 14}, "target": "o"}, "answer": {"steps": [["b", "z + 18", "z + 30"], ["z", "h + 4", "h + 34"], ["h", "l + 9", "l + 43"], ["l", "e + 18", "e + 61"], ["e", "q + 10", "q + 71"], ["q", 14, "85"]], "target_var_name": "o", "target_value": 85, "value_dict": {"q": 14}, "is_reverse": true}} | 7,922 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = q + 10; h = l + 9; j = q + 11; k = w + 12; i = x + 6; b = z + 18; x = j + 10; q = 14; o = b + 12; l = e + 18; w = a + 4; z = h + 4; a = i + 1. If q = 14, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = z + 18 to o, which gives o = z + 30.\n2. Substitute z = h + 4 to o, which gives o = h + 34.\n3. Substitute h = l + 9 to o, which gives o = l + 43.\n4. Substitute l = e + 18 to o, which gives o = e + 61.\n5. Substitute e = q + 10 to o, which gives o = q + 71.\n6. Substitute q = 14 to o, which gives o = 85.\n\nThus, the final answer is o = \\boxed{85}.",
"index": 7922,
"question": "Consider a system of variables where each variable is defined as follows: e = q + 10; h = l + 9; j = q + 11; k = w + 12; i = x + 6; b = z + 18; x = j + 10; q = 14; o = b + 12; l = e + 18; w = a + 4; z = h + 4; a = i + 1. If q = 14, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"c": "m + 2", "a": "c + 18", "q": "a + 9", "d": "q + 11", "z": "d + 5", "y": "z + 5", "x": "m + 4", "g": "x + 18", "e": "g + 13", "p": "e + 5", "l": "p + 13", "j": "l + 15", "m": 13}, "premises": {"m": 13}, "target": "y"}, "answer": {"steps": [["z", "d + 5", "d + 10"], ["d", "q + 11", "q + 21"], ["q", "a + 9", "a + 30"], ["a", "c + 18", "c + 48"], ["c", "m + 2", "m + 50"], ["m", 13, "63"]], "target_var_name": "y", "target_value": 63, "value_dict": {"m": 13}, "is_reverse": true}} | 7,923 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = 13; q = a + 9; y = z + 5; z = d + 5; l = p + 13; x = m + 4; g = x + 18; c = m + 2; e = g + 13; p = e + 5; j = l + 15; d = q + 11; a = c + 18. If m = 13, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = d + 5 to y, which gives y = d + 10.\n2. Substitute d = q + 11 to y, which gives y = q + 21.\n3. Substitute q = a + 9 to y, which gives y = a + 30.\n4. Substitute a = c + 18 to y, which gives y = c + 48.\n5. Substitute c = m + 2 to y, which gives y = m + 50.\n6. Substitute m = 13 to y, which gives y = 63.\n\nThus, the final answer is y = \\boxed{63}.",
"index": 7923,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = 13; q = a + 9; y = z + 5; z = d + 5; l = p + 13; x = m + 4; g = x + 18; c = m + 2; e = g + 13; p = e + 5; j = l + 15; d = q + 11; a = c + 18. If m = 13, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"l": "p + 13", "k": "l + 20", "n": "k + 10", "g": "n + 14", "v": "g + 1", "x": "v + 12", "t": "p + 7", "s": "t + 13", "i": "s + 13", "y": "i + 6", "b": "y + 7", "u": "b + 1", "p": 8}, "premises": {"p": 8}, "target": "x"}, "answer": {"steps": [["v", "g + 1", "g + 13"], ["g", "n + 14", "n + 27"], ["n", "k + 10", "k + 37"], ["k", "l + 20", "l + 57"], ["l", "p + 13", "p + 70"], ["p", 8, "78"]], "target_var_name": "x", "target_value": 78, "value_dict": {"p": 8}, "is_reverse": true}} | 7,924 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = g + 1; l = p + 13; k = l + 20; s = t + 13; i = s + 13; u = b + 1; n = k + 10; y = i + 6; t = p + 7; p = 8; x = v + 12; b = y + 7; g = n + 14. If p = 8, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = g + 1 to x, which gives x = g + 13.\n2. Substitute g = n + 14 to x, which gives x = n + 27.\n3. Substitute n = k + 10 to x, which gives x = k + 37.\n4. Substitute k = l + 20 to x, which gives x = l + 57.\n5. Substitute l = p + 13 to x, which gives x = p + 70.\n6. Substitute p = 8 to x, which gives x = 78.\n\nThus, the final answer is x = \\boxed{78}.",
"index": 7924,
"question": "Consider a system of variables where each variable is defined as follows: v = g + 1; l = p + 13; k = l + 20; s = t + 13; i = s + 13; u = b + 1; n = k + 10; y = i + 6; t = p + 7; p = 8; x = v + 12; b = y + 7; g = n + 14. If p = 8, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"i": "c + 12", "j": "i + 16", "x": "j + 19", "o": "x + 6", "h": "o + 9", "a": "h + 14", "d": "c + 6", "y": "d + 7", "e": "y + 12", "p": "e + 19", "s": "p + 16", "n": "s + 3", "c": 16}, "premises": {"c": 16}, "target": "a"}, "answer": {"steps": [["h", "o + 9", "o + 23"], ["o", "x + 6", "x + 29"], ["x", "j + 19", "j + 48"], ["j", "i + 16", "i + 64"], ["i", "c + 12", "c + 76"], ["c", 16, "92"]], "target_var_name": "a", "target_value": 92, "value_dict": {"c": 16}, "is_reverse": true}} | 7,925 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = c + 12; y = d + 7; x = j + 19; e = y + 12; d = c + 6; h = o + 9; j = i + 16; n = s + 3; s = p + 16; c = 16; p = e + 19; o = x + 6; a = h + 14. If c = 16, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = o + 9 to a, which gives a = o + 23.\n2. Substitute o = x + 6 to a, which gives a = x + 29.\n3. Substitute x = j + 19 to a, which gives a = j + 48.\n4. Substitute j = i + 16 to a, which gives a = i + 64.\n5. Substitute i = c + 12 to a, which gives a = c + 76.\n6. Substitute c = 16 to a, which gives a = 92.\n\nThus, the final answer is a = \\boxed{92}.",
"index": 7925,
"question": "Consider a system of variables where each variable is defined as follows: i = c + 12; y = d + 7; x = j + 19; e = y + 12; d = c + 6; h = o + 9; j = i + 16; n = s + 3; s = p + 16; c = 16; p = e + 19; o = x + 6; a = h + 14. If c = 16, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"a": "b + 9", "f": "a + 16", "s": "f + 5", "h": "s + 11", "o": "h + 17", "z": "o + 18", "u": "b + 7", "c": "u + 2", "i": "c + 4", "k": "i + 20", "q": "k + 10", "x": "q + 1", "b": 9}, "premises": {"b": 9}, "target": "z"}, "answer": {"steps": [["o", "h + 17", "h + 35"], ["h", "s + 11", "s + 46"], ["s", "f + 5", "f + 51"], ["f", "a + 16", "a + 67"], ["a", "b + 9", "b + 76"], ["b", 9, "85"]], "target_var_name": "z", "target_value": 85, "value_dict": {"b": 9}, "is_reverse": true}} | 7,926 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = c + 4; b = 9; f = a + 16; q = k + 10; z = o + 18; u = b + 7; s = f + 5; x = q + 1; k = i + 20; o = h + 17; c = u + 2; a = b + 9; h = s + 11. If b = 9, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = h + 17 to z, which gives z = h + 35.\n2. Substitute h = s + 11 to z, which gives z = s + 46.\n3. Substitute s = f + 5 to z, which gives z = f + 51.\n4. Substitute f = a + 16 to z, which gives z = a + 67.\n5. Substitute a = b + 9 to z, which gives z = b + 76.\n6. Substitute b = 9 to z, which gives z = 85.\n\nThus, the final answer is z = \\boxed{85}.",
"index": 7926,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = c + 4; b = 9; f = a + 16; q = k + 10; z = o + 18; u = b + 7; s = f + 5; x = q + 1; k = i + 20; o = h + 17; c = u + 2; a = b + 9; h = s + 11. If b = 9, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"c": "a + 17", "f": "c + 17", "d": "f + 19", "u": "d + 16", "n": "u + 1", "m": "n + 20", "q": "a + 5", "i": "q + 19", "r": "i + 2", "w": "r + 16", "b": "w + 18", "z": "b + 10", "a": 4}, "premises": {"a": 4}, "target": "m"}, "answer": {"steps": [["n", "u + 1", "u + 21"], ["u", "d + 16", "d + 37"], ["d", "f + 19", "f + 56"], ["f", "c + 17", "c + 73"], ["c", "a + 17", "a + 90"], ["a", 4, "94"]], "target_var_name": "m", "target_value": 94, "value_dict": {"a": 4}, "is_reverse": true}} | 7,927 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = q + 19; f = c + 17; u = d + 16; b = w + 18; r = i + 2; c = a + 17; z = b + 10; w = r + 16; m = n + 20; q = a + 5; n = u + 1; d = f + 19; a = 4. Given that a = 4, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = u + 1 to m, which gives m = u + 21.\n2. Substitute u = d + 16 to m, which gives m = d + 37.\n3. Substitute d = f + 19 to m, which gives m = f + 56.\n4. Substitute f = c + 17 to m, which gives m = c + 73.\n5. Substitute c = a + 17 to m, which gives m = a + 90.\n6. Substitute a = 4 to m, which gives m = 94.\n\nThus, the final answer is m = \\boxed{94}.",
"index": 7927,
"question": "Suppose a collection of variables is related by the following definitions: i = q + 19; f = c + 17; u = d + 16; b = w + 18; r = i + 2; c = a + 17; z = b + 10; w = r + 16; m = n + 20; q = a + 5; n = u + 1; d = f + 19; a = 4. Given that a = 4, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"r": "n + 1", "y": "r + 5", "h": "y + 6", "c": "h + 20", "v": "c + 18", "p": "v + 14", "g": "n + 7", "a": "g + 15", "d": "a + 18", "z": "d + 8", "t": "z + 17", "j": "t + 3", "n": 8}, "premises": {"n": 8}, "target": "p"}, "answer": {"steps": [["v", "c + 18", "c + 32"], ["c", "h + 20", "h + 52"], ["h", "y + 6", "y + 58"], ["y", "r + 5", "r + 63"], ["r", "n + 1", "n + 64"], ["n", 8, "72"]], "target_var_name": "p", "target_value": 72, "value_dict": {"n": 8}, "is_reverse": true}} | 7,928 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = t + 3; g = n + 7; c = h + 20; d = a + 18; p = v + 14; n = 8; t = z + 17; r = n + 1; z = d + 8; v = c + 18; a = g + 15; y = r + 5; h = y + 6. If n = 8, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = c + 18 to p, which gives p = c + 32.\n2. Substitute c = h + 20 to p, which gives p = h + 52.\n3. Substitute h = y + 6 to p, which gives p = y + 58.\n4. Substitute y = r + 5 to p, which gives p = r + 63.\n5. Substitute r = n + 1 to p, which gives p = n + 64.\n6. Substitute n = 8 to p, which gives p = 72.\n\nThus, the final answer is p = \\boxed{72}.",
"index": 7928,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = t + 3; g = n + 7; c = h + 20; d = a + 18; p = v + 14; n = 8; t = z + 17; r = n + 1; z = d + 8; v = c + 18; a = g + 15; y = r + 5; h = y + 6. If n = 8, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"x": "k + 5", "t": "x + 2", "l": "t + 8", "d": "l + 12", "o": "d + 2", "v": "o + 12", "q": "k + 20", "s": "q + 8", "a": "s + 12", "g": "a + 7", "b": "g + 2", "i": "b + 16", "k": 19}, "premises": {"k": 19}, "target": "v"}, "answer": {"steps": [["o", "d + 2", "d + 14"], ["d", "l + 12", "l + 26"], ["l", "t + 8", "t + 34"], ["t", "x + 2", "x + 36"], ["x", "k + 5", "k + 41"], ["k", 19, "60"]], "target_var_name": "v", "target_value": 60, "value_dict": {"k": 19}, "is_reverse": true}} | 7,929 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = l + 12; k = 19; x = k + 5; a = s + 12; t = x + 2; i = b + 16; s = q + 8; v = o + 12; b = g + 2; l = t + 8; q = k + 20; o = d + 2; g = a + 7. Given that k = 19, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = d + 2 to v, which gives v = d + 14.\n2. Substitute d = l + 12 to v, which gives v = l + 26.\n3. Substitute l = t + 8 to v, which gives v = t + 34.\n4. Substitute t = x + 2 to v, which gives v = x + 36.\n5. Substitute x = k + 5 to v, which gives v = k + 41.\n6. Substitute k = 19 to v, which gives v = 60.\n\nThus, the final answer is v = \\boxed{60}.",
"index": 7929,
"question": "Suppose a collection of variables is related by the following definitions: d = l + 12; k = 19; x = k + 5; a = s + 12; t = x + 2; i = b + 16; s = q + 8; v = o + 12; b = g + 2; l = t + 8; q = k + 20; o = d + 2; g = a + 7. Given that k = 19, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"u": "w + 1", "p": "u + 1", "a": "p + 10", "b": "a + 8", "q": "b + 4", "z": "q + 16", "r": "w + 13", "y": "r + 5", "h": "y + 7", "j": "h + 6", "e": "j + 20", "n": "e + 6", "w": 11}, "premises": {"w": 11}, "target": "z"}, "answer": {"steps": [["q", "b + 4", "b + 20"], ["b", "a + 8", "a + 28"], ["a", "p + 10", "p + 38"], ["p", "u + 1", "u + 39"], ["u", "w + 1", "w + 40"], ["w", 11, "51"]], "target_var_name": "z", "target_value": 51, "value_dict": {"w": 11}, "is_reverse": true}} | 7,930 | 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 = h + 6; b = a + 8; h = y + 7; n = e + 6; z = q + 16; p = u + 1; q = b + 4; e = j + 20; r = w + 13; u = w + 1; y = r + 5; w = 11; a = p + 10. If w = 11, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = b + 4 to z, which gives z = b + 20.\n2. Substitute b = a + 8 to z, which gives z = a + 28.\n3. Substitute a = p + 10 to z, which gives z = p + 38.\n4. Substitute p = u + 1 to z, which gives z = u + 39.\n5. Substitute u = w + 1 to z, which gives z = w + 40.\n6. Substitute w = 11 to z, which gives z = 51.\n\nThus, the final answer is z = \\boxed{51}.",
"index": 7930,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = h + 6; b = a + 8; h = y + 7; n = e + 6; z = q + 16; p = u + 1; q = b + 4; e = j + 20; r = w + 13; u = w + 1; y = r + 5; w = 11; a = p + 10. If w = 11, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"p": "t + 16", "k": "p + 11", "c": "k + 9", "i": "c + 20", "v": "i + 11", "h": "v + 2", "z": "t + 16", "f": "z + 6", "b": "f + 10", "j": "b + 2", "w": "j + 8", "a": "w + 5", "t": 1}, "premises": {"t": 1}, "target": "h"}, "answer": {"steps": [["v", "i + 11", "i + 13"], ["i", "c + 20", "c + 33"], ["c", "k + 9", "k + 42"], ["k", "p + 11", "p + 53"], ["p", "t + 16", "t + 69"], ["t", 1, "70"]], "target_var_name": "h", "target_value": 70, "value_dict": {"t": 1}, "is_reverse": true}} | 7,931 | 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 = z + 6; a = w + 5; v = i + 11; w = j + 8; t = 1; p = t + 16; j = b + 2; k = p + 11; i = c + 20; h = v + 2; c = k + 9; z = t + 16; b = f + 10. If t = 1, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = i + 11 to h, which gives h = i + 13.\n2. Substitute i = c + 20 to h, which gives h = c + 33.\n3. Substitute c = k + 9 to h, which gives h = k + 42.\n4. Substitute k = p + 11 to h, which gives h = p + 53.\n5. Substitute p = t + 16 to h, which gives h = t + 69.\n6. Substitute t = 1 to h, which gives h = 70.\n\nThus, the final answer is h = \\boxed{70}.",
"index": 7931,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = z + 6; a = w + 5; v = i + 11; w = j + 8; t = 1; p = t + 16; j = b + 2; k = p + 11; i = c + 20; h = v + 2; c = k + 9; z = t + 16; b = f + 10. If t = 1, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"a": "t + 18", "j": "a + 11", "m": "j + 6", "u": "m + 3", "q": "u + 4", "e": "q + 14", "g": "t + 1", "s": "g + 14", "z": "s + 14", "h": "z + 8", "b": "h + 1", "w": "b + 11", "t": 17}, "premises": {"t": 17}, "target": "e"}, "answer": {"steps": [["q", "u + 4", "u + 18"], ["u", "m + 3", "m + 21"], ["m", "j + 6", "j + 27"], ["j", "a + 11", "a + 38"], ["a", "t + 18", "t + 56"], ["t", 17, "73"]], "target_var_name": "e", "target_value": 73, "value_dict": {"t": 17}, "is_reverse": true}} | 7,932 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = z + 8; j = a + 11; u = m + 3; g = t + 1; m = j + 6; e = q + 14; s = g + 14; w = b + 11; a = t + 18; t = 17; q = u + 4; z = s + 14; b = h + 1. If t = 17, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = u + 4 to e, which gives e = u + 18.\n2. Substitute u = m + 3 to e, which gives e = m + 21.\n3. Substitute m = j + 6 to e, which gives e = j + 27.\n4. Substitute j = a + 11 to e, which gives e = a + 38.\n5. Substitute a = t + 18 to e, which gives e = t + 56.\n6. Substitute t = 17 to e, which gives e = 73.\n\nThus, the final answer is e = \\boxed{73}.",
"index": 7932,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = z + 8; j = a + 11; u = m + 3; g = t + 1; m = j + 6; e = q + 14; s = g + 14; w = b + 11; a = t + 18; t = 17; q = u + 4; z = s + 14; b = h + 1. If t = 17, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"d": "s + 10", "z": "d + 14", "i": "z + 7", "o": "i + 10", "u": "o + 4", "w": "u + 7", "m": "s + 14", "e": "m + 12", "q": "e + 3", "y": "q + 18", "g": "y + 13", "j": "g + 17", "s": 16}, "premises": {"s": 16}, "target": "w"}, "answer": {"steps": [["u", "o + 4", "o + 11"], ["o", "i + 10", "i + 21"], ["i", "z + 7", "z + 28"], ["z", "d + 14", "d + 42"], ["d", "s + 10", "s + 52"], ["s", 16, "68"]], "target_var_name": "w", "target_value": 68, "value_dict": {"s": 16}, "is_reverse": true}} | 7,933 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = i + 10; i = z + 7; u = o + 4; j = g + 17; e = m + 12; q = e + 3; d = s + 10; y = q + 18; w = u + 7; s = 16; z = d + 14; g = y + 13; m = s + 14. Given that s = 16, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = o + 4 to w, which gives w = o + 11.\n2. Substitute o = i + 10 to w, which gives w = i + 21.\n3. Substitute i = z + 7 to w, which gives w = z + 28.\n4. Substitute z = d + 14 to w, which gives w = d + 42.\n5. Substitute d = s + 10 to w, which gives w = s + 52.\n6. Substitute s = 16 to w, which gives w = 68.\n\nThus, the final answer is w = \\boxed{68}.",
"index": 7933,
"question": "Suppose a collection of variables is related by the following definitions: o = i + 10; i = z + 7; u = o + 4; j = g + 17; e = m + 12; q = e + 3; d = s + 10; y = q + 18; w = u + 7; s = 16; z = d + 14; g = y + 13; m = s + 14. Given that s = 16, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"c": "s + 8", "y": "c + 1", "g": "y + 8", "d": "g + 5", "b": "d + 18", "a": "b + 6", "v": "s + 14", "j": "v + 1", "k": "j + 2", "x": "k + 10", "z": "x + 10", "n": "z + 4", "s": 12}, "premises": {"s": 12}, "target": "a"}, "answer": {"steps": [["b", "d + 18", "d + 24"], ["d", "g + 5", "g + 29"], ["g", "y + 8", "y + 37"], ["y", "c + 1", "c + 38"], ["c", "s + 8", "s + 46"], ["s", 12, "58"]], "target_var_name": "a", "target_value": 58, "value_dict": {"s": 12}, "is_reverse": true}} | 7,934 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = g + 5; j = v + 1; z = x + 10; s = 12; k = j + 2; g = y + 8; c = s + 8; a = b + 6; x = k + 10; y = c + 1; b = d + 18; n = z + 4; v = s + 14. Given that s = 12, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = d + 18 to a, which gives a = d + 24.\n2. Substitute d = g + 5 to a, which gives a = g + 29.\n3. Substitute g = y + 8 to a, which gives a = y + 37.\n4. Substitute y = c + 1 to a, which gives a = c + 38.\n5. Substitute c = s + 8 to a, which gives a = s + 46.\n6. Substitute s = 12 to a, which gives a = 58.\n\nThus, the final answer is a = \\boxed{58}.",
"index": 7934,
"question": "Suppose a collection of variables is related by the following definitions: d = g + 5; j = v + 1; z = x + 10; s = 12; k = j + 2; g = y + 8; c = s + 8; a = b + 6; x = k + 10; y = c + 1; b = d + 18; n = z + 4; v = s + 14. Given that s = 12, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"o": "f + 4", "u": "o + 13", "x": "u + 10", "d": "x + 3", "i": "d + 20", "r": "i + 9", "j": "f + 19", "t": "j + 18", "y": "t + 8", "z": "y + 13", "w": "z + 16", "g": "w + 6", "f": 6}, "premises": {"f": 6}, "target": "r"}, "answer": {"steps": [["i", "d + 20", "d + 29"], ["d", "x + 3", "x + 32"], ["x", "u + 10", "u + 42"], ["u", "o + 13", "o + 55"], ["o", "f + 4", "f + 59"], ["f", 6, "65"]], "target_var_name": "r", "target_value": 65, "value_dict": {"f": 6}, "is_reverse": true}} | 7,935 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = u + 10; f = 6; g = w + 6; t = j + 18; o = f + 4; d = x + 3; r = i + 9; z = y + 13; i = d + 20; j = f + 19; u = o + 13; y = t + 8; w = z + 16. Given that f = 6, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = d + 20 to r, which gives r = d + 29.\n2. Substitute d = x + 3 to r, which gives r = x + 32.\n3. Substitute x = u + 10 to r, which gives r = u + 42.\n4. Substitute u = o + 13 to r, which gives r = o + 55.\n5. Substitute o = f + 4 to r, which gives r = f + 59.\n6. Substitute f = 6 to r, which gives r = 65.\n\nThus, the final answer is r = \\boxed{65}.",
"index": 7935,
"question": "Suppose a collection of variables is related by the following definitions: x = u + 10; f = 6; g = w + 6; t = j + 18; o = f + 4; d = x + 3; r = i + 9; z = y + 13; i = d + 20; j = f + 19; u = o + 13; y = t + 8; w = z + 16. Given that f = 6, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"u": "s + 7", "i": "u + 5", "f": "i + 11", "k": "f + 13", "t": "k + 5", "n": "t + 4", "m": "s + 6", "y": "m + 1", "r": "y + 19", "c": "r + 9", "d": "c + 2", "l": "d + 15", "s": 8}, "premises": {"s": 8}, "target": "n"}, "answer": {"steps": [["t", "k + 5", "k + 9"], ["k", "f + 13", "f + 22"], ["f", "i + 11", "i + 33"], ["i", "u + 5", "u + 38"], ["u", "s + 7", "s + 45"], ["s", 8, "53"]], "target_var_name": "n", "target_value": 53, "value_dict": {"s": 8}, "is_reverse": true}} | 7,936 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = d + 15; c = r + 9; r = y + 19; n = t + 4; s = 8; d = c + 2; t = k + 5; i = u + 5; y = m + 1; u = s + 7; f = i + 11; m = s + 6; k = f + 13. If s = 8, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = k + 5 to n, which gives n = k + 9.\n2. Substitute k = f + 13 to n, which gives n = f + 22.\n3. Substitute f = i + 11 to n, which gives n = i + 33.\n4. Substitute i = u + 5 to n, which gives n = u + 38.\n5. Substitute u = s + 7 to n, which gives n = s + 45.\n6. Substitute s = 8 to n, which gives n = 53.\n\nThus, the final answer is n = \\boxed{53}.",
"index": 7936,
"question": "Consider a system of variables where each variable is defined as follows: l = d + 15; c = r + 9; r = y + 19; n = t + 4; s = 8; d = c + 2; t = k + 5; i = u + 5; y = m + 1; u = s + 7; f = i + 11; m = s + 6; k = f + 13. If s = 8, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"s": "l + 14", "a": "s + 13", "i": "a + 18", "o": "i + 6", "h": "o + 3", "z": "h + 10", "t": "l + 13", "b": "t + 3", "w": "b + 17", "x": "w + 10", "g": "x + 14", "r": "g + 19", "l": 7}, "premises": {"l": 7}, "target": "z"}, "answer": {"steps": [["h", "o + 3", "o + 13"], ["o", "i + 6", "i + 19"], ["i", "a + 18", "a + 37"], ["a", "s + 13", "s + 50"], ["s", "l + 14", "l + 64"], ["l", 7, "71"]], "target_var_name": "z", "target_value": 71, "value_dict": {"l": 7}, "is_reverse": true}} | 7,937 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = b + 17; h = o + 3; b = t + 3; i = a + 18; s = l + 14; x = w + 10; t = l + 13; o = i + 6; l = 7; a = s + 13; r = g + 19; z = h + 10; g = x + 14. Given that l = 7, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = o + 3 to z, which gives z = o + 13.\n2. Substitute o = i + 6 to z, which gives z = i + 19.\n3. Substitute i = a + 18 to z, which gives z = a + 37.\n4. Substitute a = s + 13 to z, which gives z = s + 50.\n5. Substitute s = l + 14 to z, which gives z = l + 64.\n6. Substitute l = 7 to z, which gives z = 71.\n\nThus, the final answer is z = \\boxed{71}.",
"index": 7937,
"question": "Suppose a collection of variables is related by the following definitions: w = b + 17; h = o + 3; b = t + 3; i = a + 18; s = l + 14; x = w + 10; t = l + 13; o = i + 6; l = 7; a = s + 13; r = g + 19; z = h + 10; g = x + 14. Given that l = 7, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"h": "a + 15", "i": "h + 16", "k": "i + 2", "e": "k + 11", "b": "e + 11", "w": "b + 4", "v": "a + 10", "f": "v + 13", "o": "f + 1", "s": "o + 12", "x": "s + 5", "p": "x + 1", "a": 16}, "premises": {"a": 16}, "target": "w"}, "answer": {"steps": [["b", "e + 11", "e + 15"], ["e", "k + 11", "k + 26"], ["k", "i + 2", "i + 28"], ["i", "h + 16", "h + 44"], ["h", "a + 15", "a + 59"], ["a", 16, "75"]], "target_var_name": "w", "target_value": 75, "value_dict": {"a": 16}, "is_reverse": true}} | 7,938 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = a + 15; o = f + 1; x = s + 5; e = k + 11; s = o + 12; b = e + 11; p = x + 1; w = b + 4; k = i + 2; f = v + 13; i = h + 16; a = 16; v = a + 10. If a = 16, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = e + 11 to w, which gives w = e + 15.\n2. Substitute e = k + 11 to w, which gives w = k + 26.\n3. Substitute k = i + 2 to w, which gives w = i + 28.\n4. Substitute i = h + 16 to w, which gives w = h + 44.\n5. Substitute h = a + 15 to w, which gives w = a + 59.\n6. Substitute a = 16 to w, which gives w = 75.\n\nThus, the final answer is w = \\boxed{75}.",
"index": 7938,
"question": "Consider a system of variables where each variable is defined as follows: h = a + 15; o = f + 1; x = s + 5; e = k + 11; s = o + 12; b = e + 11; p = x + 1; w = b + 4; k = i + 2; f = v + 13; i = h + 16; a = 16; v = a + 10. If a = 16, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"x": "t + 13", "l": "x + 4", "s": "l + 11", "g": "s + 14", "f": "g + 5", "d": "f + 9", "m": "t + 18", "w": "m + 15", "o": "w + 15", "j": "o + 3", "b": "j + 5", "p": "b + 4", "t": 18}, "premises": {"t": 18}, "target": "d"}, "answer": {"steps": [["f", "g + 5", "g + 14"], ["g", "s + 14", "s + 28"], ["s", "l + 11", "l + 39"], ["l", "x + 4", "x + 43"], ["x", "t + 13", "t + 56"], ["t", 18, "74"]], "target_var_name": "d", "target_value": 74, "value_dict": {"t": 18}, "is_reverse": true}} | 7,939 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = m + 15; o = w + 15; t = 18; x = t + 13; j = o + 3; d = f + 9; b = j + 5; f = g + 5; s = l + 11; m = t + 18; l = x + 4; p = b + 4; g = s + 14. If t = 18, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = g + 5 to d, which gives d = g + 14.\n2. Substitute g = s + 14 to d, which gives d = s + 28.\n3. Substitute s = l + 11 to d, which gives d = l + 39.\n4. Substitute l = x + 4 to d, which gives d = x + 43.\n5. Substitute x = t + 13 to d, which gives d = t + 56.\n6. Substitute t = 18 to d, which gives d = 74.\n\nThus, the final answer is d = \\boxed{74}.",
"index": 7939,
"question": "Consider a system of variables where each variable is defined as follows: w = m + 15; o = w + 15; t = 18; x = t + 13; j = o + 3; d = f + 9; b = j + 5; f = g + 5; s = l + 11; m = t + 18; l = x + 4; p = b + 4; g = s + 14. If t = 18, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"k": "s + 1", "u": "k + 2", "y": "u + 5", "d": "y + 16", "a": "d + 3", "m": "a + 20", "o": "s + 4", "g": "o + 13", "b": "g + 4", "c": "b + 16", "w": "c + 16", "z": "w + 2", "s": 8}, "premises": {"s": 8}, "target": "m"}, "answer": {"steps": [["a", "d + 3", "d + 23"], ["d", "y + 16", "y + 39"], ["y", "u + 5", "u + 44"], ["u", "k + 2", "k + 46"], ["k", "s + 1", "s + 47"], ["s", 8, "55"]], "target_var_name": "m", "target_value": 55, "value_dict": {"s": 8}, "is_reverse": true}} | 7,940 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = g + 4; k = s + 1; u = k + 2; z = w + 2; y = u + 5; a = d + 3; m = a + 20; o = s + 4; s = 8; w = c + 16; d = y + 16; c = b + 16; g = o + 13. Given that s = 8, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = d + 3 to m, which gives m = d + 23.\n2. Substitute d = y + 16 to m, which gives m = y + 39.\n3. Substitute y = u + 5 to m, which gives m = u + 44.\n4. Substitute u = k + 2 to m, which gives m = k + 46.\n5. Substitute k = s + 1 to m, which gives m = s + 47.\n6. Substitute s = 8 to m, which gives m = 55.\n\nThus, the final answer is m = \\boxed{55}.",
"index": 7940,
"question": "Suppose a collection of variables is related by the following definitions: b = g + 4; k = s + 1; u = k + 2; z = w + 2; y = u + 5; a = d + 3; m = a + 20; o = s + 4; s = 8; w = c + 16; d = y + 16; c = b + 16; g = o + 13. Given that s = 8, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"w": "p + 2", "c": "w + 14", "k": "c + 8", "r": "k + 10", "e": "r + 3", "m": "e + 2", "y": "p + 12", "f": "y + 14", "d": "f + 13", "a": "d + 2", "v": "a + 12", "o": "v + 13", "p": 14}, "premises": {"p": 14}, "target": "m"}, "answer": {"steps": [["e", "r + 3", "r + 5"], ["r", "k + 10", "k + 15"], ["k", "c + 8", "c + 23"], ["c", "w + 14", "w + 37"], ["w", "p + 2", "p + 39"], ["p", 14, "53"]], "target_var_name": "m", "target_value": 53, "value_dict": {"p": 14}, "is_reverse": true}} | 7,941 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = f + 13; w = p + 2; f = y + 14; c = w + 14; r = k + 10; k = c + 8; a = d + 2; m = e + 2; o = v + 13; y = p + 12; p = 14; e = r + 3; v = a + 12. Given that p = 14, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = r + 3 to m, which gives m = r + 5.\n2. Substitute r = k + 10 to m, which gives m = k + 15.\n3. Substitute k = c + 8 to m, which gives m = c + 23.\n4. Substitute c = w + 14 to m, which gives m = w + 37.\n5. Substitute w = p + 2 to m, which gives m = p + 39.\n6. Substitute p = 14 to m, which gives m = 53.\n\nThus, the final answer is m = \\boxed{53}.",
"index": 7941,
"question": "Suppose a collection of variables is related by the following definitions: d = f + 13; w = p + 2; f = y + 14; c = w + 14; r = k + 10; k = c + 8; a = d + 2; m = e + 2; o = v + 13; y = p + 12; p = 14; e = r + 3; v = a + 12. Given that p = 14, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"p": "c + 5", "y": "p + 15", "t": "y + 6", "m": "t + 8", "q": "m + 4", "h": "q + 9", "w": "c + 17", "d": "w + 6", "g": "d + 4", "e": "g + 20", "o": "e + 17", "r": "o + 6", "c": 9}, "premises": {"c": 9}, "target": "h"}, "answer": {"steps": [["q", "m + 4", "m + 13"], ["m", "t + 8", "t + 21"], ["t", "y + 6", "y + 27"], ["y", "p + 15", "p + 42"], ["p", "c + 5", "c + 47"], ["c", 9, "56"]], "target_var_name": "h", "target_value": 56, "value_dict": {"c": 9}, "is_reverse": true}} | 7,942 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = e + 17; m = t + 8; y = p + 15; c = 9; e = g + 20; d = w + 6; t = y + 6; h = q + 9; g = d + 4; r = o + 6; w = c + 17; q = m + 4; p = c + 5. If c = 9, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = m + 4 to h, which gives h = m + 13.\n2. Substitute m = t + 8 to h, which gives h = t + 21.\n3. Substitute t = y + 6 to h, which gives h = y + 27.\n4. Substitute y = p + 15 to h, which gives h = p + 42.\n5. Substitute p = c + 5 to h, which gives h = c + 47.\n6. Substitute c = 9 to h, which gives h = 56.\n\nThus, the final answer is h = \\boxed{56}.",
"index": 7942,
"question": "Consider a system of variables where each variable is defined as follows: o = e + 17; m = t + 8; y = p + 15; c = 9; e = g + 20; d = w + 6; t = y + 6; h = q + 9; g = d + 4; r = o + 6; w = c + 17; q = m + 4; p = c + 5. If c = 9, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"c": "n + 10", "a": "c + 5", "r": "a + 6", "v": "r + 9", "l": "v + 8", "j": "l + 20", "f": "n + 2", "q": "f + 1", "d": "q + 12", "h": "d + 8", "s": "h + 4", "e": "s + 11", "n": 5}, "premises": {"n": 5}, "target": "j"}, "answer": {"steps": [["l", "v + 8", "v + 28"], ["v", "r + 9", "r + 37"], ["r", "a + 6", "a + 43"], ["a", "c + 5", "c + 48"], ["c", "n + 10", "n + 58"], ["n", 5, "63"]], "target_var_name": "j", "target_value": 63, "value_dict": {"n": 5}, "is_reverse": true}} | 7,943 | 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 = a + 6; d = q + 12; l = v + 8; s = h + 4; n = 5; v = r + 9; c = n + 10; j = l + 20; a = c + 5; h = d + 8; q = f + 1; e = s + 11; f = n + 2. If n = 5, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = v + 8 to j, which gives j = v + 28.\n2. Substitute v = r + 9 to j, which gives j = r + 37.\n3. Substitute r = a + 6 to j, which gives j = a + 43.\n4. Substitute a = c + 5 to j, which gives j = c + 48.\n5. Substitute c = n + 10 to j, which gives j = n + 58.\n6. Substitute n = 5 to j, which gives j = 63.\n\nThus, the final answer is j = \\boxed{63}.",
"index": 7943,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = a + 6; d = q + 12; l = v + 8; s = h + 4; n = 5; v = r + 9; c = n + 10; j = l + 20; a = c + 5; h = d + 8; q = f + 1; e = s + 11; f = n + 2. If n = 5, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"o": "h + 13", "q": "o + 18", "p": "q + 10", "i": "p + 16", "e": "i + 10", "z": "e + 4", "n": "h + 4", "w": "n + 19", "b": "w + 2", "l": "b + 14", "a": "l + 17", "m": "a + 19", "h": 15}, "premises": {"h": 15}, "target": "z"}, "answer": {"steps": [["e", "i + 10", "i + 14"], ["i", "p + 16", "p + 30"], ["p", "q + 10", "q + 40"], ["q", "o + 18", "o + 58"], ["o", "h + 13", "h + 71"], ["h", 15, "86"]], "target_var_name": "z", "target_value": 86, "value_dict": {"h": 15}, "is_reverse": true}} | 7,944 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = b + 14; b = w + 2; n = h + 4; w = n + 19; q = o + 18; o = h + 13; p = q + 10; h = 15; m = a + 19; a = l + 17; z = e + 4; i = p + 16; e = i + 10. If h = 15, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = i + 10 to z, which gives z = i + 14.\n2. Substitute i = p + 16 to z, which gives z = p + 30.\n3. Substitute p = q + 10 to z, which gives z = q + 40.\n4. Substitute q = o + 18 to z, which gives z = o + 58.\n5. Substitute o = h + 13 to z, which gives z = h + 71.\n6. Substitute h = 15 to z, which gives z = 86.\n\nThus, the final answer is z = \\boxed{86}.",
"index": 7944,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = b + 14; b = w + 2; n = h + 4; w = n + 19; q = o + 18; o = h + 13; p = q + 10; h = 15; m = a + 19; a = l + 17; z = e + 4; i = p + 16; e = i + 10. If h = 15, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"p": "w + 17", "a": "p + 18", "s": "a + 12", "f": "s + 7", "j": "f + 14", "x": "j + 8", "h": "w + 8", "r": "h + 6", "i": "r + 13", "g": "i + 2", "m": "g + 11", "t": "m + 20", "w": 12}, "premises": {"w": 12}, "target": "x"}, "answer": {"steps": [["j", "f + 14", "f + 22"], ["f", "s + 7", "s + 29"], ["s", "a + 12", "a + 41"], ["a", "p + 18", "p + 59"], ["p", "w + 17", "w + 76"], ["w", 12, "88"]], "target_var_name": "x", "target_value": 88, "value_dict": {"w": 12}, "is_reverse": true}} | 7,945 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = j + 8; f = s + 7; t = m + 20; j = f + 14; r = h + 6; p = w + 17; a = p + 18; w = 12; s = a + 12; i = r + 13; g = i + 2; m = g + 11; h = w + 8. Given that w = 12, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = f + 14 to x, which gives x = f + 22.\n2. Substitute f = s + 7 to x, which gives x = s + 29.\n3. Substitute s = a + 12 to x, which gives x = a + 41.\n4. Substitute a = p + 18 to x, which gives x = p + 59.\n5. Substitute p = w + 17 to x, which gives x = w + 76.\n6. Substitute w = 12 to x, which gives x = 88.\n\nThus, the final answer is x = \\boxed{88}.",
"index": 7945,
"question": "Suppose a collection of variables is related by the following definitions: x = j + 8; f = s + 7; t = m + 20; j = f + 14; r = h + 6; p = w + 17; a = p + 18; w = 12; s = a + 12; i = r + 13; g = i + 2; m = g + 11; h = w + 8. Given that w = 12, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"q": "w + 10", "t": "q + 11", "g": "t + 2", "o": "g + 19", "i": "o + 4", "s": "i + 9", "y": "w + 16", "z": "y + 7", "f": "z + 5", "v": "f + 2", "r": "v + 15", "l": "r + 9", "w": 19}, "premises": {"w": 19}, "target": "s"}, "answer": {"steps": [["i", "o + 4", "o + 13"], ["o", "g + 19", "g + 32"], ["g", "t + 2", "t + 34"], ["t", "q + 11", "q + 45"], ["q", "w + 10", "w + 55"], ["w", 19, "74"]], "target_var_name": "s", "target_value": 74, "value_dict": {"w": 19}, "is_reverse": true}} | 7,946 | 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 = y + 7; v = f + 2; q = w + 10; f = z + 5; l = r + 9; w = 19; s = i + 9; r = v + 15; g = t + 2; y = w + 16; i = o + 4; o = g + 19; t = q + 11. If w = 19, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = o + 4 to s, which gives s = o + 13.\n2. Substitute o = g + 19 to s, which gives s = g + 32.\n3. Substitute g = t + 2 to s, which gives s = t + 34.\n4. Substitute t = q + 11 to s, which gives s = q + 45.\n5. Substitute q = w + 10 to s, which gives s = w + 55.\n6. Substitute w = 19 to s, which gives s = 74.\n\nThus, the final answer is s = \\boxed{74}.",
"index": 7946,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = y + 7; v = f + 2; q = w + 10; f = z + 5; l = r + 9; w = 19; s = i + 9; r = v + 15; g = t + 2; y = w + 16; i = o + 4; o = g + 19; t = q + 11. If w = 19, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"u": "m + 11", "y": "u + 11", "i": "y + 17", "h": "i + 14", "k": "h + 9", "w": "k + 7", "v": "m + 9", "x": "v + 7", "c": "x + 2", "r": "c + 5", "e": "r + 16", "b": "e + 10", "m": 8}, "premises": {"m": 8}, "target": "w"}, "answer": {"steps": [["k", "h + 9", "h + 16"], ["h", "i + 14", "i + 30"], ["i", "y + 17", "y + 47"], ["y", "u + 11", "u + 58"], ["u", "m + 11", "m + 69"], ["m", 8, "77"]], "target_var_name": "w", "target_value": 77, "value_dict": {"m": 8}, "is_reverse": true}} | 7,947 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = h + 9; y = u + 11; w = k + 7; v = m + 9; u = m + 11; m = 8; i = y + 17; e = r + 16; b = e + 10; r = c + 5; c = x + 2; h = i + 14; x = v + 7. Given that m = 8, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = h + 9 to w, which gives w = h + 16.\n2. Substitute h = i + 14 to w, which gives w = i + 30.\n3. Substitute i = y + 17 to w, which gives w = y + 47.\n4. Substitute y = u + 11 to w, which gives w = u + 58.\n5. Substitute u = m + 11 to w, which gives w = m + 69.\n6. Substitute m = 8 to w, which gives w = 77.\n\nThus, the final answer is w = \\boxed{77}.",
"index": 7947,
"question": "Suppose a collection of variables is related by the following definitions: k = h + 9; y = u + 11; w = k + 7; v = m + 9; u = m + 11; m = 8; i = y + 17; e = r + 16; b = e + 10; r = c + 5; c = x + 2; h = i + 14; x = v + 7. Given that m = 8, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"f": "p + 9", "s": "f + 11", "k": "s + 20", "u": "k + 1", "l": "u + 10", "q": "l + 8", "x": "p + 5", "n": "x + 14", "b": "n + 18", "m": "b + 7", "w": "m + 19", "h": "w + 2", "p": 15}, "premises": {"p": 15}, "target": "q"}, "answer": {"steps": [["l", "u + 10", "u + 18"], ["u", "k + 1", "k + 19"], ["k", "s + 20", "s + 39"], ["s", "f + 11", "f + 50"], ["f", "p + 9", "p + 59"], ["p", 15, "74"]], "target_var_name": "q", "target_value": 74, "value_dict": {"p": 15}, "is_reverse": true}} | 7,948 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = n + 18; q = l + 8; l = u + 10; f = p + 9; k = s + 20; w = m + 19; p = 15; h = w + 2; n = x + 14; s = f + 11; x = p + 5; u = k + 1; m = b + 7. If p = 15, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = u + 10 to q, which gives q = u + 18.\n2. Substitute u = k + 1 to q, which gives q = k + 19.\n3. Substitute k = s + 20 to q, which gives q = s + 39.\n4. Substitute s = f + 11 to q, which gives q = f + 50.\n5. Substitute f = p + 9 to q, which gives q = p + 59.\n6. Substitute p = 15 to q, which gives q = 74.\n\nThus, the final answer is q = \\boxed{74}.",
"index": 7948,
"question": "Consider a system of variables where each variable is defined as follows: b = n + 18; q = l + 8; l = u + 10; f = p + 9; k = s + 20; w = m + 19; p = 15; h = w + 2; n = x + 14; s = f + 11; x = p + 5; u = k + 1; m = b + 7. If p = 15, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"f": "z + 10", "l": "f + 12", "e": "l + 5", "b": "e + 6", "d": "b + 14", "n": "d + 18", "q": "z + 20", "v": "q + 4", "y": "v + 9", "x": "y + 11", "w": "x + 2", "j": "w + 14", "z": 10}, "premises": {"z": 10}, "target": "n"}, "answer": {"steps": [["d", "b + 14", "b + 32"], ["b", "e + 6", "e + 38"], ["e", "l + 5", "l + 43"], ["l", "f + 12", "f + 55"], ["f", "z + 10", "z + 65"], ["z", 10, "75"]], "target_var_name": "n", "target_value": 75, "value_dict": {"z": 10}, "is_reverse": true}} | 7,949 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = z + 10; b = e + 6; w = x + 2; n = d + 18; y = v + 9; z = 10; x = y + 11; v = q + 4; j = w + 14; d = b + 14; q = z + 20; l = f + 12; e = l + 5. If z = 10, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = b + 14 to n, which gives n = b + 32.\n2. Substitute b = e + 6 to n, which gives n = e + 38.\n3. Substitute e = l + 5 to n, which gives n = l + 43.\n4. Substitute l = f + 12 to n, which gives n = f + 55.\n5. Substitute f = z + 10 to n, which gives n = z + 65.\n6. Substitute z = 10 to n, which gives n = 75.\n\nThus, the final answer is n = \\boxed{75}.",
"index": 7949,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = z + 10; b = e + 6; w = x + 2; n = d + 18; y = v + 9; z = 10; x = y + 11; v = q + 4; j = w + 14; d = b + 14; q = z + 20; l = f + 12; e = l + 5. If z = 10, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"g": "a + 4", "p": "g + 17", "e": "p + 15", "i": "e + 3", "z": "i + 14", "l": "z + 4", "j": "a + 3", "k": "j + 3", "d": "k + 20", "b": "d + 2", "q": "b + 2", "w": "q + 16", "a": 16}, "premises": {"a": 16}, "target": "l"}, "answer": {"steps": [["z", "i + 14", "i + 18"], ["i", "e + 3", "e + 21"], ["e", "p + 15", "p + 36"], ["p", "g + 17", "g + 53"], ["g", "a + 4", "a + 57"], ["a", 16, "73"]], "target_var_name": "l", "target_value": 73, "value_dict": {"a": 16}, "is_reverse": true}} | 7,950 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = 16; g = a + 4; l = z + 4; w = q + 16; j = a + 3; z = i + 14; k = j + 3; q = b + 2; d = k + 20; e = p + 15; b = d + 2; i = e + 3; p = g + 17. If a = 16, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = i + 14 to l, which gives l = i + 18.\n2. Substitute i = e + 3 to l, which gives l = e + 21.\n3. Substitute e = p + 15 to l, which gives l = p + 36.\n4. Substitute p = g + 17 to l, which gives l = g + 53.\n5. Substitute g = a + 4 to l, which gives l = a + 57.\n6. Substitute a = 16 to l, which gives l = 73.\n\nThus, the final answer is l = \\boxed{73}.",
"index": 7950,
"question": "Consider a system of variables where each variable is defined as follows: a = 16; g = a + 4; l = z + 4; w = q + 16; j = a + 3; z = i + 14; k = j + 3; q = b + 2; d = k + 20; e = p + 15; b = d + 2; i = e + 3; p = g + 17. If a = 16, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"m": "f + 14", "x": "m + 7", "y": "x + 10", "k": "y + 18", "l": "k + 18", "s": "l + 5", "t": "f + 1", "u": "t + 8", "j": "u + 4", "n": "j + 11", "h": "n + 7", "g": "h + 18", "f": 3}, "premises": {"f": 3}, "target": "s"}, "answer": {"steps": [["l", "k + 18", "k + 23"], ["k", "y + 18", "y + 41"], ["y", "x + 10", "x + 51"], ["x", "m + 7", "m + 58"], ["m", "f + 14", "f + 72"], ["f", 3, "75"]], "target_var_name": "s", "target_value": 75, "value_dict": {"f": 3}, "is_reverse": true}} | 7,951 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = f + 1; j = u + 4; n = j + 11; x = m + 7; m = f + 14; g = h + 18; f = 3; s = l + 5; u = t + 8; y = x + 10; k = y + 18; h = n + 7; l = k + 18. If f = 3, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = k + 18 to s, which gives s = k + 23.\n2. Substitute k = y + 18 to s, which gives s = y + 41.\n3. Substitute y = x + 10 to s, which gives s = x + 51.\n4. Substitute x = m + 7 to s, which gives s = m + 58.\n5. Substitute m = f + 14 to s, which gives s = f + 72.\n6. Substitute f = 3 to s, which gives s = 75.\n\nThus, the final answer is s = \\boxed{75}.",
"index": 7951,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = f + 1; j = u + 4; n = j + 11; x = m + 7; m = f + 14; g = h + 18; f = 3; s = l + 5; u = t + 8; y = x + 10; k = y + 18; h = n + 7; l = k + 18. If f = 3, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"h": "b + 17", "w": "h + 6", "u": "w + 4", "a": "u + 1", "c": "a + 13", "e": "c + 19", "t": "b + 13", "m": "t + 1", "d": "m + 2", "o": "d + 10", "x": "o + 4", "i": "x + 15", "b": 2}, "premises": {"b": 2}, "target": "e"}, "answer": {"steps": [["c", "a + 13", "a + 32"], ["a", "u + 1", "u + 33"], ["u", "w + 4", "w + 37"], ["w", "h + 6", "h + 43"], ["h", "b + 17", "b + 60"], ["b", 2, "62"]], "target_var_name": "e", "target_value": 62, "value_dict": {"b": 2}, "is_reverse": true}} | 7,952 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = 2; o = d + 10; w = h + 6; x = o + 4; u = w + 4; t = b + 13; d = m + 2; c = a + 13; e = c + 19; m = t + 1; i = x + 15; a = u + 1; h = b + 17. If b = 2, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = a + 13 to e, which gives e = a + 32.\n2. Substitute a = u + 1 to e, which gives e = u + 33.\n3. Substitute u = w + 4 to e, which gives e = w + 37.\n4. Substitute w = h + 6 to e, which gives e = h + 43.\n5. Substitute h = b + 17 to e, which gives e = b + 60.\n6. Substitute b = 2 to e, which gives e = 62.\n\nThus, the final answer is e = \\boxed{62}.",
"index": 7952,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = 2; o = d + 10; w = h + 6; x = o + 4; u = w + 4; t = b + 13; d = m + 2; c = a + 13; e = c + 19; m = t + 1; i = x + 15; a = u + 1; h = b + 17. If b = 2, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"e": "v + 17", "u": "e + 18", "r": "u + 12", "i": "r + 8", "q": "i + 5", "g": "q + 14", "z": "v + 8", "f": "z + 20", "a": "f + 6", "k": "a + 8", "j": "k + 17", "t": "j + 1", "v": 16}, "premises": {"v": 16}, "target": "g"}, "answer": {"steps": [["q", "i + 5", "i + 19"], ["i", "r + 8", "r + 27"], ["r", "u + 12", "u + 39"], ["u", "e + 18", "e + 57"], ["e", "v + 17", "v + 74"], ["v", 16, "90"]], "target_var_name": "g", "target_value": 90, "value_dict": {"v": 16}, "is_reverse": true}} | 7,953 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = a + 8; r = u + 12; u = e + 18; z = v + 8; i = r + 8; v = 16; q = i + 5; j = k + 17; f = z + 20; g = q + 14; t = j + 1; a = f + 6; e = v + 17. Given that v = 16, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = i + 5 to g, which gives g = i + 19.\n2. Substitute i = r + 8 to g, which gives g = r + 27.\n3. Substitute r = u + 12 to g, which gives g = u + 39.\n4. Substitute u = e + 18 to g, which gives g = e + 57.\n5. Substitute e = v + 17 to g, which gives g = v + 74.\n6. Substitute v = 16 to g, which gives g = 90.\n\nThus, the final answer is g = \\boxed{90}.",
"index": 7953,
"question": "Suppose a collection of variables is related by the following definitions: k = a + 8; r = u + 12; u = e + 18; z = v + 8; i = r + 8; v = 16; q = i + 5; j = k + 17; f = z + 20; g = q + 14; t = j + 1; a = f + 6; e = v + 17. Given that v = 16, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"x": "v + 1", "y": "x + 2", "b": "y + 6", "r": "b + 15", "i": "r + 2", "j": "i + 3", "n": "v + 14", "w": "n + 4", "f": "w + 20", "a": "f + 15", "e": "a + 13", "d": "e + 2", "v": 1}, "premises": {"v": 1}, "target": "j"}, "answer": {"steps": [["i", "r + 2", "r + 5"], ["r", "b + 15", "b + 20"], ["b", "y + 6", "y + 26"], ["y", "x + 2", "x + 28"], ["x", "v + 1", "v + 29"], ["v", 1, "30"]], "target_var_name": "j", "target_value": 30, "value_dict": {"v": 1}, "is_reverse": true}} | 7,954 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = x + 2; v = 1; b = y + 6; w = n + 4; e = a + 13; n = v + 14; j = i + 3; f = w + 20; a = f + 15; d = e + 2; x = v + 1; r = b + 15; i = r + 2. If v = 1, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 30,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = r + 2 to j, which gives j = r + 5.\n2. Substitute r = b + 15 to j, which gives j = b + 20.\n3. Substitute b = y + 6 to j, which gives j = y + 26.\n4. Substitute y = x + 2 to j, which gives j = x + 28.\n5. Substitute x = v + 1 to j, which gives j = v + 29.\n6. Substitute v = 1 to j, which gives j = 30.\n\nThus, the final answer is j = \\boxed{30}.",
"index": 7954,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = x + 2; v = 1; b = y + 6; w = n + 4; e = a + 13; n = v + 14; j = i + 3; f = w + 20; a = f + 15; d = e + 2; x = v + 1; r = b + 15; i = r + 2. If v = 1, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"n": "e + 4", "u": "n + 12", "m": "u + 1", "g": "m + 13", "f": "g + 10", "z": "f + 6", "y": "e + 9", "q": "y + 6", "s": "q + 16", "c": "s + 14", "x": "c + 17", "k": "x + 8", "e": 15}, "premises": {"e": 15}, "target": "z"}, "answer": {"steps": [["f", "g + 10", "g + 16"], ["g", "m + 13", "m + 29"], ["m", "u + 1", "u + 30"], ["u", "n + 12", "n + 42"], ["n", "e + 4", "e + 46"], ["e", 15, "61"]], "target_var_name": "z", "target_value": 61, "value_dict": {"e": 15}, "is_reverse": true}} | 7,955 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = u + 1; g = m + 13; x = c + 17; e = 15; n = e + 4; q = y + 6; u = n + 12; c = s + 14; z = f + 6; f = g + 10; y = e + 9; s = q + 16; k = x + 8. If e = 15, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = g + 10 to z, which gives z = g + 16.\n2. Substitute g = m + 13 to z, which gives z = m + 29.\n3. Substitute m = u + 1 to z, which gives z = u + 30.\n4. Substitute u = n + 12 to z, which gives z = n + 42.\n5. Substitute n = e + 4 to z, which gives z = e + 46.\n6. Substitute e = 15 to z, which gives z = 61.\n\nThus, the final answer is z = \\boxed{61}.",
"index": 7955,
"question": "Consider a system of variables where each variable is defined as follows: m = u + 1; g = m + 13; x = c + 17; e = 15; n = e + 4; q = y + 6; u = n + 12; c = s + 14; z = f + 6; f = g + 10; y = e + 9; s = q + 16; k = x + 8. If e = 15, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"q": "x + 12", "l": "q + 10", "g": "l + 6", "d": "g + 8", "i": "d + 10", "j": "i + 5", "p": "x + 5", "z": "p + 3", "a": "z + 15", "c": "a + 12", "b": "c + 19", "e": "b + 18", "x": 4}, "premises": {"x": 4}, "target": "j"}, "answer": {"steps": [["i", "d + 10", "d + 15"], ["d", "g + 8", "g + 23"], ["g", "l + 6", "l + 29"], ["l", "q + 10", "q + 39"], ["q", "x + 12", "x + 51"], ["x", 4, "55"]], "target_var_name": "j", "target_value": 55, "value_dict": {"x": 4}, "is_reverse": true}} | 7,956 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = x + 5; e = b + 18; i = d + 10; l = q + 10; a = z + 15; d = g + 8; z = p + 3; b = c + 19; g = l + 6; q = x + 12; x = 4; c = a + 12; j = i + 5. If x = 4, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = d + 10 to j, which gives j = d + 15.\n2. Substitute d = g + 8 to j, which gives j = g + 23.\n3. Substitute g = l + 6 to j, which gives j = l + 29.\n4. Substitute l = q + 10 to j, which gives j = q + 39.\n5. Substitute q = x + 12 to j, which gives j = x + 51.\n6. Substitute x = 4 to j, which gives j = 55.\n\nThus, the final answer is j = \\boxed{55}.",
"index": 7956,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = x + 5; e = b + 18; i = d + 10; l = q + 10; a = z + 15; d = g + 8; z = p + 3; b = c + 19; g = l + 6; q = x + 12; x = 4; c = a + 12; j = i + 5. If x = 4, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"x": "a + 10", "u": "x + 17", "s": "u + 19", "y": "s + 12", "e": "y + 1", "h": "e + 3", "n": "a + 13", "l": "n + 9", "o": "l + 16", "t": "o + 8", "q": "t + 1", "k": "q + 17", "a": 6}, "premises": {"a": 6}, "target": "h"}, "answer": {"steps": [["e", "y + 1", "y + 4"], ["y", "s + 12", "s + 16"], ["s", "u + 19", "u + 35"], ["u", "x + 17", "x + 52"], ["x", "a + 10", "a + 62"], ["a", 6, "68"]], "target_var_name": "h", "target_value": 68, "value_dict": {"a": 6}, "is_reverse": true}} | 7,957 | 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 = a + 10; k = q + 17; q = t + 1; u = x + 17; y = s + 12; n = a + 13; h = e + 3; o = l + 16; a = 6; e = y + 1; l = n + 9; t = o + 8; s = u + 19. If a = 6, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = y + 1 to h, which gives h = y + 4.\n2. Substitute y = s + 12 to h, which gives h = s + 16.\n3. Substitute s = u + 19 to h, which gives h = u + 35.\n4. Substitute u = x + 17 to h, which gives h = x + 52.\n5. Substitute x = a + 10 to h, which gives h = a + 62.\n6. Substitute a = 6 to h, which gives h = 68.\n\nThus, the final answer is h = \\boxed{68}.",
"index": 7957,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = a + 10; k = q + 17; q = t + 1; u = x + 17; y = s + 12; n = a + 13; h = e + 3; o = l + 16; a = 6; e = y + 1; l = n + 9; t = o + 8; s = u + 19. If a = 6, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"e": "u + 16", "z": "e + 6", "w": "z + 15", "k": "w + 3", "j": "k + 8", "s": "j + 17", "r": "u + 12", "l": "r + 6", "f": "l + 6", "b": "f + 4", "q": "b + 14", "v": "q + 7", "u": 20}, "premises": {"u": 20}, "target": "s"}, "answer": {"steps": [["j", "k + 8", "k + 25"], ["k", "w + 3", "w + 28"], ["w", "z + 15", "z + 43"], ["z", "e + 6", "e + 49"], ["e", "u + 16", "u + 65"], ["u", 20, "85"]], "target_var_name": "s", "target_value": 85, "value_dict": {"u": 20}, "is_reverse": true}} | 7,958 | 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 + 3; q = b + 14; w = z + 15; l = r + 6; j = k + 8; z = e + 6; s = j + 17; b = f + 4; f = l + 6; v = q + 7; r = u + 12; u = 20; e = u + 16. If u = 20, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = k + 8 to s, which gives s = k + 25.\n2. Substitute k = w + 3 to s, which gives s = w + 28.\n3. Substitute w = z + 15 to s, which gives s = z + 43.\n4. Substitute z = e + 6 to s, which gives s = e + 49.\n5. Substitute e = u + 16 to s, which gives s = u + 65.\n6. Substitute u = 20 to s, which gives s = 85.\n\nThus, the final answer is s = \\boxed{85}.",
"index": 7958,
"question": "Consider a system of variables where each variable is defined as follows: k = w + 3; q = b + 14; w = z + 15; l = r + 6; j = k + 8; z = e + 6; s = j + 17; b = f + 4; f = l + 6; v = q + 7; r = u + 12; u = 20; e = u + 16. If u = 20, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"i": "l + 9", "j": "i + 1", "e": "j + 15", "u": "e + 1", "n": "u + 18", "v": "n + 20", "t": "l + 18", "y": "t + 13", "d": "y + 11", "w": "d + 6", "c": "w + 18", "r": "c + 18", "l": 3}, "premises": {"l": 3}, "target": "v"}, "answer": {"steps": [["n", "u + 18", "u + 38"], ["u", "e + 1", "e + 39"], ["e", "j + 15", "j + 54"], ["j", "i + 1", "i + 55"], ["i", "l + 9", "l + 64"], ["l", 3, "67"]], "target_var_name": "v", "target_value": 67, "value_dict": {"l": 3}, "is_reverse": true}} | 7,959 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = 3; w = d + 6; u = e + 1; i = l + 9; y = t + 13; v = n + 20; n = u + 18; r = c + 18; e = j + 15; c = w + 18; t = l + 18; d = y + 11; j = i + 1. If l = 3, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = u + 18 to v, which gives v = u + 38.\n2. Substitute u = e + 1 to v, which gives v = e + 39.\n3. Substitute e = j + 15 to v, which gives v = j + 54.\n4. Substitute j = i + 1 to v, which gives v = i + 55.\n5. Substitute i = l + 9 to v, which gives v = l + 64.\n6. Substitute l = 3 to v, which gives v = 67.\n\nThus, the final answer is v = \\boxed{67}.",
"index": 7959,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = 3; w = d + 6; u = e + 1; i = l + 9; y = t + 13; v = n + 20; n = u + 18; r = c + 18; e = j + 15; c = w + 18; t = l + 18; d = y + 11; j = i + 1. If l = 3, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"a": "i + 4", "j": "a + 13", "e": "j + 1", "k": "e + 10", "y": "k + 13", "t": "y + 11", "s": "i + 11", "m": "s + 10", "x": "m + 16", "z": "x + 10", "h": "z + 12", "c": "h + 8", "i": 14}, "premises": {"i": 14}, "target": "t"}, "answer": {"steps": [["y", "k + 13", "k + 24"], ["k", "e + 10", "e + 34"], ["e", "j + 1", "j + 35"], ["j", "a + 13", "a + 48"], ["a", "i + 4", "i + 52"], ["i", 14, "66"]], "target_var_name": "t", "target_value": 66, "value_dict": {"i": 14}, "is_reverse": true}} | 7,960 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = 14; t = y + 11; e = j + 1; h = z + 12; k = e + 10; z = x + 10; y = k + 13; a = i + 4; c = h + 8; x = m + 16; m = s + 10; j = a + 13; s = i + 11. Given that i = 14, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = k + 13 to t, which gives t = k + 24.\n2. Substitute k = e + 10 to t, which gives t = e + 34.\n3. Substitute e = j + 1 to t, which gives t = j + 35.\n4. Substitute j = a + 13 to t, which gives t = a + 48.\n5. Substitute a = i + 4 to t, which gives t = i + 52.\n6. Substitute i = 14 to t, which gives t = 66.\n\nThus, the final answer is t = \\boxed{66}.",
"index": 7960,
"question": "Suppose a collection of variables is related by the following definitions: i = 14; t = y + 11; e = j + 1; h = z + 12; k = e + 10; z = x + 10; y = k + 13; a = i + 4; c = h + 8; x = m + 16; m = s + 10; j = a + 13; s = i + 11. Given that i = 14, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"a": "q + 16", "s": "a + 8", "c": "s + 2", "u": "c + 12", "t": "u + 18", "k": "t + 16", "b": "q + 13", "z": "b + 13", "e": "z + 5", "x": "e + 14", "r": "x + 19", "g": "r + 10", "q": 11}, "premises": {"q": 11}, "target": "k"}, "answer": {"steps": [["t", "u + 18", "u + 34"], ["u", "c + 12", "c + 46"], ["c", "s + 2", "s + 48"], ["s", "a + 8", "a + 56"], ["a", "q + 16", "q + 72"], ["q", 11, "83"]], "target_var_name": "k", "target_value": 83, "value_dict": {"q": 11}, "is_reverse": true}} | 7,961 | 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 = e + 14; a = q + 16; s = a + 8; q = 11; r = x + 19; u = c + 12; e = z + 5; b = q + 13; t = u + 18; g = r + 10; z = b + 13; c = s + 2; k = t + 16. If q = 11, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = u + 18 to k, which gives k = u + 34.\n2. Substitute u = c + 12 to k, which gives k = c + 46.\n3. Substitute c = s + 2 to k, which gives k = s + 48.\n4. Substitute s = a + 8 to k, which gives k = a + 56.\n5. Substitute a = q + 16 to k, which gives k = q + 72.\n6. Substitute q = 11 to k, which gives k = 83.\n\nThus, the final answer is k = \\boxed{83}.",
"index": 7961,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = e + 14; a = q + 16; s = a + 8; q = 11; r = x + 19; u = c + 12; e = z + 5; b = q + 13; t = u + 18; g = r + 10; z = b + 13; c = s + 2; k = t + 16. If q = 11, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"e": "c + 11", "j": "e + 10", "g": "j + 5", "l": "g + 9", "v": "l + 4", "y": "v + 20", "z": "c + 19", "i": "z + 9", "h": "i + 7", "f": "h + 7", "t": "f + 20", "a": "t + 20", "c": 8}, "premises": {"c": 8}, "target": "y"}, "answer": {"steps": [["v", "l + 4", "l + 24"], ["l", "g + 9", "g + 33"], ["g", "j + 5", "j + 38"], ["j", "e + 10", "e + 48"], ["e", "c + 11", "c + 59"], ["c", 8, "67"]], "target_var_name": "y", "target_value": 67, "value_dict": {"c": 8}, "is_reverse": true}} | 7,962 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = c + 11; y = v + 20; f = h + 7; t = f + 20; v = l + 4; i = z + 9; g = j + 5; a = t + 20; j = e + 10; z = c + 19; l = g + 9; h = i + 7; c = 8. Given that c = 8, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = l + 4 to y, which gives y = l + 24.\n2. Substitute l = g + 9 to y, which gives y = g + 33.\n3. Substitute g = j + 5 to y, which gives y = j + 38.\n4. Substitute j = e + 10 to y, which gives y = e + 48.\n5. Substitute e = c + 11 to y, which gives y = c + 59.\n6. Substitute c = 8 to y, which gives y = 67.\n\nThus, the final answer is y = \\boxed{67}.",
"index": 7962,
"question": "Suppose a collection of variables is related by the following definitions: e = c + 11; y = v + 20; f = h + 7; t = f + 20; v = l + 4; i = z + 9; g = j + 5; a = t + 20; j = e + 10; z = c + 19; l = g + 9; h = i + 7; c = 8. Given that c = 8, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"y": "v + 13", "z": "y + 14", "x": "z + 1", "m": "x + 16", "f": "m + 7", "o": "f + 1", "p": "v + 17", "n": "p + 10", "j": "n + 20", "d": "j + 15", "h": "d + 8", "w": "h + 20", "v": 11}, "premises": {"v": 11}, "target": "o"}, "answer": {"steps": [["f", "m + 7", "m + 8"], ["m", "x + 16", "x + 24"], ["x", "z + 1", "z + 25"], ["z", "y + 14", "y + 39"], ["y", "v + 13", "v + 52"], ["v", 11, "63"]], "target_var_name": "o", "target_value": 63, "value_dict": {"v": 11}, "is_reverse": true}} | 7,963 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = 11; z = y + 14; y = v + 13; h = d + 8; j = n + 20; p = v + 17; x = z + 1; o = f + 1; m = x + 16; d = j + 15; f = m + 7; n = p + 10; w = h + 20. If v = 11, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = m + 7 to o, which gives o = m + 8.\n2. Substitute m = x + 16 to o, which gives o = x + 24.\n3. Substitute x = z + 1 to o, which gives o = z + 25.\n4. Substitute z = y + 14 to o, which gives o = y + 39.\n5. Substitute y = v + 13 to o, which gives o = v + 52.\n6. Substitute v = 11 to o, which gives o = 63.\n\nThus, the final answer is o = \\boxed{63}.",
"index": 7963,
"question": "Consider a system of variables where each variable is defined as follows: v = 11; z = y + 14; y = v + 13; h = d + 8; j = n + 20; p = v + 17; x = z + 1; o = f + 1; m = x + 16; d = j + 15; f = m + 7; n = p + 10; w = h + 20. If v = 11, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"f": "d + 10", "m": "f + 3", "h": "m + 14", "w": "h + 12", "s": "w + 17", "e": "s + 17", "y": "d + 14", "z": "y + 4", "i": "z + 1", "o": "i + 12", "r": "o + 11", "j": "r + 16", "d": 14}, "premises": {"d": 14}, "target": "e"}, "answer": {"steps": [["s", "w + 17", "w + 34"], ["w", "h + 12", "h + 46"], ["h", "m + 14", "m + 60"], ["m", "f + 3", "f + 63"], ["f", "d + 10", "d + 73"], ["d", 14, "87"]], "target_var_name": "e", "target_value": 87, "value_dict": {"d": 14}, "is_reverse": true}} | 7,964 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = s + 17; d = 14; f = d + 10; s = w + 17; z = y + 4; y = d + 14; m = f + 3; r = o + 11; j = r + 16; o = i + 12; h = m + 14; w = h + 12; i = z + 1. If d = 14, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = w + 17 to e, which gives e = w + 34.\n2. Substitute w = h + 12 to e, which gives e = h + 46.\n3. Substitute h = m + 14 to e, which gives e = m + 60.\n4. Substitute m = f + 3 to e, which gives e = f + 63.\n5. Substitute f = d + 10 to e, which gives e = d + 73.\n6. Substitute d = 14 to e, which gives e = 87.\n\nThus, the final answer is e = \\boxed{87}.",
"index": 7964,
"question": "Consider a system of variables where each variable is defined as follows: e = s + 17; d = 14; f = d + 10; s = w + 17; z = y + 4; y = d + 14; m = f + 3; r = o + 11; j = r + 16; o = i + 12; h = m + 14; w = h + 12; i = z + 1. If d = 14, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"k": "o + 16", "x": "k + 19", "t": "x + 7", "v": "t + 17", "i": "v + 5", "m": "i + 20", "l": "o + 17", "s": "l + 9", "j": "s + 8", "f": "j + 20", "p": "f + 11", "h": "p + 13", "o": 4}, "premises": {"o": 4}, "target": "m"}, "answer": {"steps": [["i", "v + 5", "v + 25"], ["v", "t + 17", "t + 42"], ["t", "x + 7", "x + 49"], ["x", "k + 19", "k + 68"], ["k", "o + 16", "o + 84"], ["o", 4, "88"]], "target_var_name": "m", "target_value": 88, "value_dict": {"o": 4}, "is_reverse": true}} | 7,965 | 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 = l + 9; f = j + 20; m = i + 20; h = p + 13; k = o + 16; t = x + 7; o = 4; l = o + 17; x = k + 19; v = t + 17; i = v + 5; p = f + 11; j = s + 8. If o = 4, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = v + 5 to m, which gives m = v + 25.\n2. Substitute v = t + 17 to m, which gives m = t + 42.\n3. Substitute t = x + 7 to m, which gives m = x + 49.\n4. Substitute x = k + 19 to m, which gives m = k + 68.\n5. Substitute k = o + 16 to m, which gives m = o + 84.\n6. Substitute o = 4 to m, which gives m = 88.\n\nThus, the final answer is m = \\boxed{88}.",
"index": 7965,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = l + 9; f = j + 20; m = i + 20; h = p + 13; k = o + 16; t = x + 7; o = 4; l = o + 17; x = k + 19; v = t + 17; i = v + 5; p = f + 11; j = s + 8. If o = 4, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"g": "z + 4", "f": "g + 16", "e": "f + 14", "u": "e + 6", "y": "u + 17", "p": "y + 16", "q": "z + 17", "l": "q + 8", "j": "l + 1", "b": "j + 13", "v": "b + 4", "t": "v + 15", "z": 19}, "premises": {"z": 19}, "target": "p"}, "answer": {"steps": [["y", "u + 17", "u + 33"], ["u", "e + 6", "e + 39"], ["e", "f + 14", "f + 53"], ["f", "g + 16", "g + 69"], ["g", "z + 4", "z + 73"], ["z", 19, "92"]], "target_var_name": "p", "target_value": 92, "value_dict": {"z": 19}, "is_reverse": true}} | 7,966 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = b + 4; z = 19; t = v + 15; g = z + 4; b = j + 13; q = z + 17; y = u + 17; u = e + 6; j = l + 1; p = y + 16; e = f + 14; f = g + 16; l = q + 8. If z = 19, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = u + 17 to p, which gives p = u + 33.\n2. Substitute u = e + 6 to p, which gives p = e + 39.\n3. Substitute e = f + 14 to p, which gives p = f + 53.\n4. Substitute f = g + 16 to p, which gives p = g + 69.\n5. Substitute g = z + 4 to p, which gives p = z + 73.\n6. Substitute z = 19 to p, which gives p = 92.\n\nThus, the final answer is p = \\boxed{92}.",
"index": 7966,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = b + 4; z = 19; t = v + 15; g = z + 4; b = j + 13; q = z + 17; y = u + 17; u = e + 6; j = l + 1; p = y + 16; e = f + 14; f = g + 16; l = q + 8. If z = 19, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"q": "n + 1", "r": "q + 12", "h": "r + 17", "v": "h + 10", "t": "v + 13", "k": "t + 19", "d": "n + 9", "x": "d + 5", "p": "x + 7", "w": "p + 12", "o": "w + 12", "g": "o + 8", "n": 5}, "premises": {"n": 5}, "target": "k"}, "answer": {"steps": [["t", "v + 13", "v + 32"], ["v", "h + 10", "h + 42"], ["h", "r + 17", "r + 59"], ["r", "q + 12", "q + 71"], ["q", "n + 1", "n + 72"], ["n", 5, "77"]], "target_var_name": "k", "target_value": 77, "value_dict": {"n": 5}, "is_reverse": true}} | 7,967 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = t + 19; x = d + 5; q = n + 1; w = p + 12; p = x + 7; o = w + 12; r = q + 12; g = o + 8; v = h + 10; d = n + 9; t = v + 13; n = 5; h = r + 17. If n = 5, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = v + 13 to k, which gives k = v + 32.\n2. Substitute v = h + 10 to k, which gives k = h + 42.\n3. Substitute h = r + 17 to k, which gives k = r + 59.\n4. Substitute r = q + 12 to k, which gives k = q + 71.\n5. Substitute q = n + 1 to k, which gives k = n + 72.\n6. Substitute n = 5 to k, which gives k = 77.\n\nThus, the final answer is k = \\boxed{77}.",
"index": 7967,
"question": "Consider a system of variables where each variable is defined as follows: k = t + 19; x = d + 5; q = n + 1; w = p + 12; p = x + 7; o = w + 12; r = q + 12; g = o + 8; v = h + 10; d = n + 9; t = v + 13; n = 5; h = r + 17. If n = 5, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"d": "g + 15", "b": "d + 14", "q": "b + 13", "i": "q + 13", "x": "i + 15", "c": "x + 10", "a": "g + 11", "m": "a + 18", "s": "m + 15", "y": "s + 18", "k": "y + 5", "v": "k + 16", "g": 5}, "premises": {"g": 5}, "target": "c"}, "answer": {"steps": [["x", "i + 15", "i + 25"], ["i", "q + 13", "q + 38"], ["q", "b + 13", "b + 51"], ["b", "d + 14", "d + 65"], ["d", "g + 15", "g + 80"], ["g", 5, "85"]], "target_var_name": "c", "target_value": 85, "value_dict": {"g": 5}, "is_reverse": true}} | 7,968 | 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 = x + 10; a = g + 11; y = s + 18; d = g + 15; v = k + 16; q = b + 13; k = y + 5; b = d + 14; g = 5; s = m + 15; i = q + 13; m = a + 18; x = i + 15. If g = 5, 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 x = i + 15 to c, which gives c = i + 25.\n2. Substitute i = q + 13 to c, which gives c = q + 38.\n3. Substitute q = b + 13 to c, which gives c = b + 51.\n4. Substitute b = d + 14 to c, which gives c = d + 65.\n5. Substitute d = g + 15 to c, which gives c = g + 80.\n6. Substitute g = 5 to c, which gives c = 85.\n\nThus, the final answer is c = \\boxed{85}.",
"index": 7968,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = x + 10; a = g + 11; y = s + 18; d = g + 15; v = k + 16; q = b + 13; k = y + 5; b = d + 14; g = 5; s = m + 15; i = q + 13; m = a + 18; x = i + 15. If g = 5, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"m": "i + 18", "z": "m + 17", "u": "z + 17", "n": "u + 15", "s": "n + 12", "f": "s + 14", "h": "i + 6", "l": "h + 1", "d": "l + 10", "a": "d + 14", "g": "a + 1", "c": "g + 19", "i": 15}, "premises": {"i": 15}, "target": "f"}, "answer": {"steps": [["s", "n + 12", "n + 26"], ["n", "u + 15", "u + 41"], ["u", "z + 17", "z + 58"], ["z", "m + 17", "m + 75"], ["m", "i + 18", "i + 93"], ["i", 15, "108"]], "target_var_name": "f", "target_value": 108, "value_dict": {"i": 15}, "is_reverse": true}} | 7,969 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = h + 1; f = s + 14; c = g + 19; z = m + 17; n = u + 15; m = i + 18; a = d + 14; h = i + 6; g = a + 1; s = n + 12; d = l + 10; u = z + 17; i = 15. If i = 15, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 108,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = n + 12 to f, which gives f = n + 26.\n2. Substitute n = u + 15 to f, which gives f = u + 41.\n3. Substitute u = z + 17 to f, which gives f = z + 58.\n4. Substitute z = m + 17 to f, which gives f = m + 75.\n5. Substitute m = i + 18 to f, which gives f = i + 93.\n6. Substitute i = 15 to f, which gives f = 108.\n\nThus, the final answer is f = \\boxed{108}.",
"index": 7969,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = h + 1; f = s + 14; c = g + 19; z = m + 17; n = u + 15; m = i + 18; a = d + 14; h = i + 6; g = a + 1; s = n + 12; d = l + 10; u = z + 17; i = 15. If i = 15, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"p": "b + 14", "f": "p + 14", "j": "f + 2", "e": "j + 16", "h": "e + 19", "n": "h + 10", "i": "b + 18", "o": "i + 16", "t": "o + 7", "d": "t + 2", "x": "d + 8", "u": "x + 9", "b": 13}, "premises": {"b": 13}, "target": "n"}, "answer": {"steps": [["h", "e + 19", "e + 29"], ["e", "j + 16", "j + 45"], ["j", "f + 2", "f + 47"], ["f", "p + 14", "p + 61"], ["p", "b + 14", "b + 75"], ["b", 13, "88"]], "target_var_name": "n", "target_value": 88, "value_dict": {"b": 13}, "is_reverse": true}} | 7,970 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = o + 7; d = t + 2; e = j + 16; p = b + 14; j = f + 2; b = 13; n = h + 10; x = d + 8; i = b + 18; h = e + 19; u = x + 9; o = i + 16; f = p + 14. Given that b = 13, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = e + 19 to n, which gives n = e + 29.\n2. Substitute e = j + 16 to n, which gives n = j + 45.\n3. Substitute j = f + 2 to n, which gives n = f + 47.\n4. Substitute f = p + 14 to n, which gives n = p + 61.\n5. Substitute p = b + 14 to n, which gives n = b + 75.\n6. Substitute b = 13 to n, which gives n = 88.\n\nThus, the final answer is n = \\boxed{88}.",
"index": 7970,
"question": "Suppose a collection of variables is related by the following definitions: t = o + 7; d = t + 2; e = j + 16; p = b + 14; j = f + 2; b = 13; n = h + 10; x = d + 8; i = b + 18; h = e + 19; u = x + 9; o = i + 16; f = p + 14. Given that b = 13, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"p": "x + 7", "k": "p + 2", "b": "k + 18", "h": "b + 17", "o": "h + 18", "j": "o + 12", "r": "x + 19", "f": "r + 3", "e": "f + 1", "z": "e + 12", "l": "z + 19", "u": "l + 9", "x": 9}, "premises": {"x": 9}, "target": "j"}, "answer": {"steps": [["o", "h + 18", "h + 30"], ["h", "b + 17", "b + 47"], ["b", "k + 18", "k + 65"], ["k", "p + 2", "p + 67"], ["p", "x + 7", "x + 74"], ["x", 9, "83"]], "target_var_name": "j", "target_value": 83, "value_dict": {"x": 9}, "is_reverse": true}} | 7,971 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = p + 2; z = e + 12; b = k + 18; j = o + 12; u = l + 9; o = h + 18; h = b + 17; x = 9; l = z + 19; p = x + 7; r = x + 19; f = r + 3; e = f + 1. If x = 9, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = h + 18 to j, which gives j = h + 30.\n2. Substitute h = b + 17 to j, which gives j = b + 47.\n3. Substitute b = k + 18 to j, which gives j = k + 65.\n4. Substitute k = p + 2 to j, which gives j = p + 67.\n5. Substitute p = x + 7 to j, which gives j = x + 74.\n6. Substitute x = 9 to j, which gives j = 83.\n\nThus, the final answer is j = \\boxed{83}.",
"index": 7971,
"question": "Consider a system of variables where each variable is defined as follows: k = p + 2; z = e + 12; b = k + 18; j = o + 12; u = l + 9; o = h + 18; h = b + 17; x = 9; l = z + 19; p = x + 7; r = x + 19; f = r + 3; e = f + 1. If x = 9, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"j": "v + 5", "o": "j + 5", "f": "o + 11", "m": "f + 1", "h": "m + 6", "l": "h + 1", "c": "v + 12", "k": "c + 11", "q": "k + 20", "x": "q + 17", "t": "x + 17", "i": "t + 11", "v": 2}, "premises": {"v": 2}, "target": "l"}, "answer": {"steps": [["h", "m + 6", "m + 7"], ["m", "f + 1", "f + 8"], ["f", "o + 11", "o + 19"], ["o", "j + 5", "j + 24"], ["j", "v + 5", "v + 29"], ["v", 2, "31"]], "target_var_name": "l", "target_value": 31, "value_dict": {"v": 2}, "is_reverse": true}} | 7,972 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = h + 1; o = j + 5; x = q + 17; m = f + 1; q = k + 20; j = v + 5; f = o + 11; k = c + 11; v = 2; t = x + 17; h = m + 6; i = t + 11; c = v + 12. Given that v = 2, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 31,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = m + 6 to l, which gives l = m + 7.\n2. Substitute m = f + 1 to l, which gives l = f + 8.\n3. Substitute f = o + 11 to l, which gives l = o + 19.\n4. Substitute o = j + 5 to l, which gives l = j + 24.\n5. Substitute j = v + 5 to l, which gives l = v + 29.\n6. Substitute v = 2 to l, which gives l = 31.\n\nThus, the final answer is l = \\boxed{31}.",
"index": 7972,
"question": "Suppose a collection of variables is related by the following definitions: l = h + 1; o = j + 5; x = q + 17; m = f + 1; q = k + 20; j = v + 5; f = o + 11; k = c + 11; v = 2; t = x + 17; h = m + 6; i = t + 11; c = v + 12. Given that v = 2, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"q": "h + 20", "m": "q + 11", "l": "m + 8", "s": "l + 15", "b": "s + 10", "i": "b + 13", "f": "h + 11", "c": "f + 18", "g": "c + 1", "a": "g + 7", "w": "a + 17", "v": "w + 13", "h": 10}, "premises": {"h": 10}, "target": "i"}, "answer": {"steps": [["b", "s + 10", "s + 23"], ["s", "l + 15", "l + 38"], ["l", "m + 8", "m + 46"], ["m", "q + 11", "q + 57"], ["q", "h + 20", "h + 77"], ["h", 10, "87"]], "target_var_name": "i", "target_value": 87, "value_dict": {"h": 10}, "is_reverse": true}} | 7,973 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = q + 11; g = c + 1; w = a + 17; s = l + 15; v = w + 13; a = g + 7; h = 10; i = b + 13; f = h + 11; l = m + 8; c = f + 18; b = s + 10; q = h + 20. If h = 10, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = s + 10 to i, which gives i = s + 23.\n2. Substitute s = l + 15 to i, which gives i = l + 38.\n3. Substitute l = m + 8 to i, which gives i = m + 46.\n4. Substitute m = q + 11 to i, which gives i = q + 57.\n5. Substitute q = h + 20 to i, which gives i = h + 77.\n6. Substitute h = 10 to i, which gives i = 87.\n\nThus, the final answer is i = \\boxed{87}.",
"index": 7973,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = q + 11; g = c + 1; w = a + 17; s = l + 15; v = w + 13; a = g + 7; h = 10; i = b + 13; f = h + 11; l = m + 8; c = f + 18; b = s + 10; q = h + 20. If h = 10, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"l": "i + 5", "k": "l + 19", "r": "k + 11", "h": "r + 11", "s": "h + 11", "c": "s + 14", "m": "i + 20", "o": "m + 18", "e": "o + 13", "y": "e + 7", "w": "y + 11", "t": "w + 8", "i": 8}, "premises": {"i": 8}, "target": "c"}, "answer": {"steps": [["s", "h + 11", "h + 25"], ["h", "r + 11", "r + 36"], ["r", "k + 11", "k + 47"], ["k", "l + 19", "l + 66"], ["l", "i + 5", "i + 71"], ["i", 8, "79"]], "target_var_name": "c", "target_value": 79, "value_dict": {"i": 8}, "is_reverse": true}} | 7,974 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = k + 11; i = 8; c = s + 14; k = l + 19; w = y + 11; m = i + 20; h = r + 11; l = i + 5; y = e + 7; s = h + 11; o = m + 18; e = o + 13; t = w + 8. Given that i = 8, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = h + 11 to c, which gives c = h + 25.\n2. Substitute h = r + 11 to c, which gives c = r + 36.\n3. Substitute r = k + 11 to c, which gives c = k + 47.\n4. Substitute k = l + 19 to c, which gives c = l + 66.\n5. Substitute l = i + 5 to c, which gives c = i + 71.\n6. Substitute i = 8 to c, which gives c = 79.\n\nThus, the final answer is c = \\boxed{79}.",
"index": 7974,
"question": "Suppose a collection of variables is related by the following definitions: r = k + 11; i = 8; c = s + 14; k = l + 19; w = y + 11; m = i + 20; h = r + 11; l = i + 5; y = e + 7; s = h + 11; o = m + 18; e = o + 13; t = w + 8. Given that i = 8, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"c": "y + 18", "b": "c + 2", "t": "b + 1", "m": "t + 8", "o": "m + 4", "i": "o + 18", "r": "y + 1", "w": "r + 13", "f": "w + 1", "k": "f + 6", "q": "k + 2", "u": "q + 18", "y": 15}, "premises": {"y": 15}, "target": "i"}, "answer": {"steps": [["o", "m + 4", "m + 22"], ["m", "t + 8", "t + 30"], ["t", "b + 1", "b + 31"], ["b", "c + 2", "c + 33"], ["c", "y + 18", "y + 51"], ["y", 15, "66"]], "target_var_name": "i", "target_value": 66, "value_dict": {"y": 15}, "is_reverse": true}} | 7,975 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = b + 1; i = o + 18; q = k + 2; f = w + 1; m = t + 8; o = m + 4; y = 15; u = q + 18; r = y + 1; k = f + 6; c = y + 18; b = c + 2; w = r + 13. Given that y = 15, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = m + 4 to i, which gives i = m + 22.\n2. Substitute m = t + 8 to i, which gives i = t + 30.\n3. Substitute t = b + 1 to i, which gives i = b + 31.\n4. Substitute b = c + 2 to i, which gives i = c + 33.\n5. Substitute c = y + 18 to i, which gives i = y + 51.\n6. Substitute y = 15 to i, which gives i = 66.\n\nThus, the final answer is i = \\boxed{66}.",
"index": 7975,
"question": "Suppose a collection of variables is related by the following definitions: t = b + 1; i = o + 18; q = k + 2; f = w + 1; m = t + 8; o = m + 4; y = 15; u = q + 18; r = y + 1; k = f + 6; c = y + 18; b = c + 2; w = r + 13. Given that y = 15, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"f": "a + 1", "u": "f + 14", "b": "u + 5", "j": "b + 5", "n": "j + 16", "z": "n + 3", "e": "a + 7", "x": "e + 12", "s": "x + 3", "i": "s + 4", "m": "i + 10", "l": "m + 14", "a": 13}, "premises": {"a": 13}, "target": "z"}, "answer": {"steps": [["n", "j + 16", "j + 19"], ["j", "b + 5", "b + 24"], ["b", "u + 5", "u + 29"], ["u", "f + 14", "f + 43"], ["f", "a + 1", "a + 44"], ["a", 13, "57"]], "target_var_name": "z", "target_value": 57, "value_dict": {"a": 13}, "is_reverse": true}} | 7,976 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = a + 1; x = e + 12; i = s + 4; n = j + 16; u = f + 14; a = 13; m = i + 10; l = m + 14; e = a + 7; j = b + 5; z = n + 3; s = x + 3; b = u + 5. If a = 13, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = j + 16 to z, which gives z = j + 19.\n2. Substitute j = b + 5 to z, which gives z = b + 24.\n3. Substitute b = u + 5 to z, which gives z = u + 29.\n4. Substitute u = f + 14 to z, which gives z = f + 43.\n5. Substitute f = a + 1 to z, which gives z = a + 44.\n6. Substitute a = 13 to z, which gives z = 57.\n\nThus, the final answer is z = \\boxed{57}.",
"index": 7976,
"question": "Consider a system of variables where each variable is defined as follows: f = a + 1; x = e + 12; i = s + 4; n = j + 16; u = f + 14; a = 13; m = i + 10; l = m + 14; e = a + 7; j = b + 5; z = n + 3; s = x + 3; b = u + 5. If a = 13, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"u": "j + 19", "o": "u + 3", "r": "o + 19", "q": "r + 3", "z": "q + 17", "e": "z + 12", "m": "j + 9", "w": "m + 4", "c": "w + 1", "p": "c + 14", "a": "p + 8", "f": "a + 20", "j": 19}, "premises": {"j": 19}, "target": "e"}, "answer": {"steps": [["z", "q + 17", "q + 29"], ["q", "r + 3", "r + 32"], ["r", "o + 19", "o + 51"], ["o", "u + 3", "u + 54"], ["u", "j + 19", "j + 73"], ["j", 19, "92"]], "target_var_name": "e", "target_value": 92, "value_dict": {"j": 19}, "is_reverse": true}} | 7,977 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = r + 3; p = c + 14; w = m + 4; u = j + 19; a = p + 8; f = a + 20; j = 19; o = u + 3; m = j + 9; z = q + 17; c = w + 1; r = o + 19; e = z + 12. Given that j = 19, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = q + 17 to e, which gives e = q + 29.\n2. Substitute q = r + 3 to e, which gives e = r + 32.\n3. Substitute r = o + 19 to e, which gives e = o + 51.\n4. Substitute o = u + 3 to e, which gives e = u + 54.\n5. Substitute u = j + 19 to e, which gives e = j + 73.\n6. Substitute j = 19 to e, which gives e = 92.\n\nThus, the final answer is e = \\boxed{92}.",
"index": 7977,
"question": "Suppose a collection of variables is related by the following definitions: q = r + 3; p = c + 14; w = m + 4; u = j + 19; a = p + 8; f = a + 20; j = 19; o = u + 3; m = j + 9; z = q + 17; c = w + 1; r = o + 19; e = z + 12. Given that j = 19, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"z": "a + 16", "x": "z + 2", "b": "x + 17", "o": "b + 5", "t": "o + 3", "d": "t + 4", "n": "a + 12", "p": "n + 14", "h": "p + 13", "l": "h + 7", "f": "l + 8", "c": "f + 12", "a": 19}, "premises": {"a": 19}, "target": "d"}, "answer": {"steps": [["t", "o + 3", "o + 7"], ["o", "b + 5", "b + 12"], ["b", "x + 17", "x + 29"], ["x", "z + 2", "z + 31"], ["z", "a + 16", "a + 47"], ["a", 19, "66"]], "target_var_name": "d", "target_value": 66, "value_dict": {"a": 19}, "is_reverse": true}} | 7,978 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = f + 12; l = h + 7; n = a + 12; f = l + 8; b = x + 17; d = t + 4; z = a + 16; a = 19; t = o + 3; x = z + 2; o = b + 5; h = p + 13; p = n + 14. Given that a = 19, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = o + 3 to d, which gives d = o + 7.\n2. Substitute o = b + 5 to d, which gives d = b + 12.\n3. Substitute b = x + 17 to d, which gives d = x + 29.\n4. Substitute x = z + 2 to d, which gives d = z + 31.\n5. Substitute z = a + 16 to d, which gives d = a + 47.\n6. Substitute a = 19 to d, which gives d = 66.\n\nThus, the final answer is d = \\boxed{66}.",
"index": 7978,
"question": "Suppose a collection of variables is related by the following definitions: c = f + 12; l = h + 7; n = a + 12; f = l + 8; b = x + 17; d = t + 4; z = a + 16; a = 19; t = o + 3; x = z + 2; o = b + 5; h = p + 13; p = n + 14. Given that a = 19, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"t": "z + 18", "x": "t + 8", "b": "x + 1", "a": "b + 17", "o": "a + 15", "q": "o + 13", "r": "z + 20", "j": "r + 12", "c": "j + 11", "l": "c + 1", "s": "l + 18", "i": "s + 20", "z": 17}, "premises": {"z": 17}, "target": "q"}, "answer": {"steps": [["o", "a + 15", "a + 28"], ["a", "b + 17", "b + 45"], ["b", "x + 1", "x + 46"], ["x", "t + 8", "t + 54"], ["t", "z + 18", "z + 72"], ["z", 17, "89"]], "target_var_name": "q", "target_value": 89, "value_dict": {"z": 17}, "is_reverse": true}} | 7,979 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = s + 20; t = z + 18; j = r + 12; o = a + 15; r = z + 20; l = c + 1; s = l + 18; c = j + 11; b = x + 1; x = t + 8; z = 17; a = b + 17; q = o + 13. If z = 17, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = a + 15 to q, which gives q = a + 28.\n2. Substitute a = b + 17 to q, which gives q = b + 45.\n3. Substitute b = x + 1 to q, which gives q = x + 46.\n4. Substitute x = t + 8 to q, which gives q = t + 54.\n5. Substitute t = z + 18 to q, which gives q = z + 72.\n6. Substitute z = 17 to q, which gives q = 89.\n\nThus, the final answer is q = \\boxed{89}.",
"index": 7979,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = s + 20; t = z + 18; j = r + 12; o = a + 15; r = z + 20; l = c + 1; s = l + 18; c = j + 11; b = x + 1; x = t + 8; z = 17; a = b + 17; q = o + 13. If z = 17, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"w": "v + 9", "i": "w + 1", "z": "i + 18", "m": "z + 16", "b": "m + 17", "r": "b + 11", "e": "v + 20", "j": "e + 19", "g": "j + 1", "q": "g + 9", "c": "q + 5", "a": "c + 1", "v": 19}, "premises": {"v": 19}, "target": "r"}, "answer": {"steps": [["b", "m + 17", "m + 28"], ["m", "z + 16", "z + 44"], ["z", "i + 18", "i + 62"], ["i", "w + 1", "w + 63"], ["w", "v + 9", "v + 72"], ["v", 19, "91"]], "target_var_name": "r", "target_value": 91, "value_dict": {"v": 19}, "is_reverse": true}} | 7,980 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = q + 5; r = b + 11; b = m + 17; g = j + 1; w = v + 9; i = w + 1; m = z + 16; q = g + 9; a = c + 1; z = i + 18; j = e + 19; v = 19; e = v + 20. If v = 19, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = m + 17 to r, which gives r = m + 28.\n2. Substitute m = z + 16 to r, which gives r = z + 44.\n3. Substitute z = i + 18 to r, which gives r = i + 62.\n4. Substitute i = w + 1 to r, which gives r = w + 63.\n5. Substitute w = v + 9 to r, which gives r = v + 72.\n6. Substitute v = 19 to r, which gives r = 91.\n\nThus, the final answer is r = \\boxed{91}.",
"index": 7980,
"question": "Consider a system of variables where each variable is defined as follows: c = q + 5; r = b + 11; b = m + 17; g = j + 1; w = v + 9; i = w + 1; m = z + 16; q = g + 9; a = c + 1; z = i + 18; j = e + 19; v = 19; e = v + 20. If v = 19, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"p": "a + 6", "f": "p + 20", "i": "f + 18", "e": "i + 12", "t": "e + 10", "z": "t + 13", "c": "a + 18", "k": "c + 5", "y": "k + 14", "x": "y + 11", "d": "x + 12", "s": "d + 7", "a": 20}, "premises": {"a": 20}, "target": "z"}, "answer": {"steps": [["t", "e + 10", "e + 23"], ["e", "i + 12", "i + 35"], ["i", "f + 18", "f + 53"], ["f", "p + 20", "p + 73"], ["p", "a + 6", "a + 79"], ["a", 20, "99"]], "target_var_name": "z", "target_value": 99, "value_dict": {"a": 20}, "is_reverse": true}} | 7,981 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = y + 11; z = t + 13; d = x + 12; s = d + 7; k = c + 5; p = a + 6; e = i + 12; f = p + 20; c = a + 18; y = k + 14; t = e + 10; a = 20; i = f + 18. Given that a = 20, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = e + 10 to z, which gives z = e + 23.\n2. Substitute e = i + 12 to z, which gives z = i + 35.\n3. Substitute i = f + 18 to z, which gives z = f + 53.\n4. Substitute f = p + 20 to z, which gives z = p + 73.\n5. Substitute p = a + 6 to z, which gives z = a + 79.\n6. Substitute a = 20 to z, which gives z = 99.\n\nThus, the final answer is z = \\boxed{99}.",
"index": 7981,
"question": "Suppose a collection of variables is related by the following definitions: x = y + 11; z = t + 13; d = x + 12; s = d + 7; k = c + 5; p = a + 6; e = i + 12; f = p + 20; c = a + 18; y = k + 14; t = e + 10; a = 20; i = f + 18. Given that a = 20, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"j": "g + 12", "l": "j + 14", "e": "l + 8", "h": "e + 8", "i": "h + 11", "t": "i + 5", "n": "g + 14", "p": "n + 11", "v": "p + 2", "u": "v + 2", "k": "u + 14", "q": "k + 11", "g": 3}, "premises": {"g": 3}, "target": "t"}, "answer": {"steps": [["i", "h + 11", "h + 16"], ["h", "e + 8", "e + 24"], ["e", "l + 8", "l + 32"], ["l", "j + 14", "j + 46"], ["j", "g + 12", "g + 58"], ["g", 3, "61"]], "target_var_name": "t", "target_value": 61, "value_dict": {"g": 3}, "is_reverse": true}} | 7,982 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = l + 8; n = g + 14; t = i + 5; i = h + 11; q = k + 11; v = p + 2; k = u + 14; h = e + 8; p = n + 11; l = j + 14; g = 3; u = v + 2; j = g + 12. Given that g = 3, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = h + 11 to t, which gives t = h + 16.\n2. Substitute h = e + 8 to t, which gives t = e + 24.\n3. Substitute e = l + 8 to t, which gives t = l + 32.\n4. Substitute l = j + 14 to t, which gives t = j + 46.\n5. Substitute j = g + 12 to t, which gives t = g + 58.\n6. Substitute g = 3 to t, which gives t = 61.\n\nThus, the final answer is t = \\boxed{61}.",
"index": 7982,
"question": "Suppose a collection of variables is related by the following definitions: e = l + 8; n = g + 14; t = i + 5; i = h + 11; q = k + 11; v = p + 2; k = u + 14; h = e + 8; p = n + 11; l = j + 14; g = 3; u = v + 2; j = g + 12. Given that g = 3, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"t": "l + 6", "d": "t + 17", "h": "d + 15", "q": "h + 15", "k": "q + 9", "s": "k + 18", "w": "l + 12", "z": "w + 2", "f": "z + 11", "b": "f + 6", "y": "b + 14", "u": "y + 3", "l": 15}, "premises": {"l": 15}, "target": "s"}, "answer": {"steps": [["k", "q + 9", "q + 27"], ["q", "h + 15", "h + 42"], ["h", "d + 15", "d + 57"], ["d", "t + 17", "t + 74"], ["t", "l + 6", "l + 80"], ["l", 15, "95"]], "target_var_name": "s", "target_value": 95, "value_dict": {"l": 15}, "is_reverse": true}} | 7,983 | 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 + 11; t = l + 6; w = l + 12; h = d + 15; y = b + 14; u = y + 3; z = w + 2; k = q + 9; b = f + 6; q = h + 15; s = k + 18; d = t + 17; l = 15. If l = 15, determine the 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 k = q + 9 to s, which gives s = q + 27.\n2. Substitute q = h + 15 to s, which gives s = h + 42.\n3. Substitute h = d + 15 to s, which gives s = d + 57.\n4. Substitute d = t + 17 to s, which gives s = t + 74.\n5. Substitute t = l + 6 to s, which gives s = l + 80.\n6. Substitute l = 15 to s, which gives s = 95.\n\nThus, the final answer is s = \\boxed{95}.",
"index": 7983,
"question": "Consider a system of variables where each variable is defined as follows: f = z + 11; t = l + 6; w = l + 12; h = d + 15; y = b + 14; u = y + 3; z = w + 2; k = q + 9; b = f + 6; q = h + 15; s = k + 18; d = t + 17; l = 15. If l = 15, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"c": "z + 4", "v": "c + 1", "h": "v + 19", "f": "h + 9", "l": "f + 12", "j": "l + 11", "p": "z + 8", "g": "p + 16", "t": "g + 9", "i": "t + 11", "q": "i + 18", "e": "q + 19", "z": 14}, "premises": {"z": 14}, "target": "j"}, "answer": {"steps": [["l", "f + 12", "f + 23"], ["f", "h + 9", "h + 32"], ["h", "v + 19", "v + 51"], ["v", "c + 1", "c + 52"], ["c", "z + 4", "z + 56"], ["z", 14, "70"]], "target_var_name": "j", "target_value": 70, "value_dict": {"z": 14}, "is_reverse": true}} | 7,984 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = i + 18; t = g + 9; h = v + 19; j = l + 11; p = z + 8; l = f + 12; g = p + 16; z = 14; i = t + 11; v = c + 1; c = z + 4; e = q + 19; f = h + 9. If z = 14, what is the resulting 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 l = f + 12 to j, which gives j = f + 23.\n2. Substitute f = h + 9 to j, which gives j = h + 32.\n3. Substitute h = v + 19 to j, which gives j = v + 51.\n4. Substitute v = c + 1 to j, which gives j = c + 52.\n5. Substitute c = z + 4 to j, which gives j = z + 56.\n6. Substitute z = 14 to j, which gives j = 70.\n\nThus, the final answer is j = \\boxed{70}.",
"index": 7984,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = i + 18; t = g + 9; h = v + 19; j = l + 11; p = z + 8; l = f + 12; g = p + 16; z = 14; i = t + 11; v = c + 1; c = z + 4; e = q + 19; f = h + 9. If z = 14, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"y": "e + 12", "t": "y + 10", "u": "t + 20", "c": "u + 2", "o": "c + 18", "z": "o + 10", "n": "e + 17", "r": "n + 9", "i": "r + 3", "q": "i + 19", "l": "q + 4", "d": "l + 4", "e": 6}, "premises": {"e": 6}, "target": "z"}, "answer": {"steps": [["o", "c + 18", "c + 28"], ["c", "u + 2", "u + 30"], ["u", "t + 20", "t + 50"], ["t", "y + 10", "y + 60"], ["y", "e + 12", "e + 72"], ["e", 6, "78"]], "target_var_name": "z", "target_value": 78, "value_dict": {"e": 6}, "is_reverse": true}} | 7,985 | 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 = n + 9; e = 6; d = l + 4; n = e + 17; q = i + 19; i = r + 3; l = q + 4; t = y + 10; c = u + 2; z = o + 10; u = t + 20; y = e + 12; o = c + 18. If e = 6, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = c + 18 to z, which gives z = c + 28.\n2. Substitute c = u + 2 to z, which gives z = u + 30.\n3. Substitute u = t + 20 to z, which gives z = t + 50.\n4. Substitute t = y + 10 to z, which gives z = y + 60.\n5. Substitute y = e + 12 to z, which gives z = e + 72.\n6. Substitute e = 6 to z, which gives z = 78.\n\nThus, the final answer is z = \\boxed{78}.",
"index": 7985,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = n + 9; e = 6; d = l + 4; n = e + 17; q = i + 19; i = r + 3; l = q + 4; t = y + 10; c = u + 2; z = o + 10; u = t + 20; y = e + 12; o = c + 18. If e = 6, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"e": "q + 4", "l": "e + 10", "n": "l + 17", "j": "n + 3", "d": "j + 13", "o": "d + 6", "s": "q + 10", "x": "s + 15", "z": "x + 6", "u": "z + 10", "m": "u + 5", "f": "m + 1", "q": 1}, "premises": {"q": 1}, "target": "o"}, "answer": {"steps": [["d", "j + 13", "j + 19"], ["j", "n + 3", "n + 22"], ["n", "l + 17", "l + 39"], ["l", "e + 10", "e + 49"], ["e", "q + 4", "q + 53"], ["q", 1, "54"]], "target_var_name": "o", "target_value": 54, "value_dict": {"q": 1}, "is_reverse": true}} | 7,986 | 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 = q + 10; o = d + 6; u = z + 10; d = j + 13; j = n + 3; x = s + 15; m = u + 5; q = 1; n = l + 17; f = m + 1; e = q + 4; l = e + 10; z = x + 6. If q = 1, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = j + 13 to o, which gives o = j + 19.\n2. Substitute j = n + 3 to o, which gives o = n + 22.\n3. Substitute n = l + 17 to o, which gives o = l + 39.\n4. Substitute l = e + 10 to o, which gives o = e + 49.\n5. Substitute e = q + 4 to o, which gives o = q + 53.\n6. Substitute q = 1 to o, which gives o = 54.\n\nThus, the final answer is o = \\boxed{54}.",
"index": 7986,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = q + 10; o = d + 6; u = z + 10; d = j + 13; j = n + 3; x = s + 15; m = u + 5; q = 1; n = l + 17; f = m + 1; e = q + 4; l = e + 10; z = x + 6. If q = 1, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"o": "l + 16", "e": "o + 6", "p": "e + 1", "t": "p + 18", "h": "t + 20", "n": "h + 8", "w": "l + 14", "s": "w + 8", "y": "s + 1", "q": "y + 16", "j": "q + 9", "m": "j + 3", "l": 15}, "premises": {"l": 15}, "target": "n"}, "answer": {"steps": [["h", "t + 20", "t + 28"], ["t", "p + 18", "p + 46"], ["p", "e + 1", "e + 47"], ["e", "o + 6", "o + 53"], ["o", "l + 16", "l + 69"], ["l", 15, "84"]], "target_var_name": "n", "target_value": 84, "value_dict": {"l": 15}, "is_reverse": true}} | 7,987 | 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 = w + 8; y = s + 1; m = j + 3; h = t + 20; q = y + 16; w = l + 14; p = e + 1; o = l + 16; e = o + 6; n = h + 8; t = p + 18; j = q + 9; l = 15. If l = 15, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = t + 20 to n, which gives n = t + 28.\n2. Substitute t = p + 18 to n, which gives n = p + 46.\n3. Substitute p = e + 1 to n, which gives n = e + 47.\n4. Substitute e = o + 6 to n, which gives n = o + 53.\n5. Substitute o = l + 16 to n, which gives n = l + 69.\n6. Substitute l = 15 to n, which gives n = 84.\n\nThus, the final answer is n = \\boxed{84}.",
"index": 7987,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = w + 8; y = s + 1; m = j + 3; h = t + 20; q = y + 16; w = l + 14; p = e + 1; o = l + 16; e = o + 6; n = h + 8; t = p + 18; j = q + 9; l = 15. If l = 15, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"l": "s + 17", "d": "l + 19", "n": "d + 16", "q": "n + 15", "h": "q + 7", "j": "h + 12", "r": "s + 10", "v": "r + 19", "g": "v + 6", "z": "g + 16", "b": "z + 3", "x": "b + 8", "s": 3}, "premises": {"s": 3}, "target": "j"}, "answer": {"steps": [["h", "q + 7", "q + 19"], ["q", "n + 15", "n + 34"], ["n", "d + 16", "d + 50"], ["d", "l + 19", "l + 69"], ["l", "s + 17", "s + 86"], ["s", 3, "89"]], "target_var_name": "j", "target_value": 89, "value_dict": {"s": 3}, "is_reverse": true}} | 7,988 | 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 = g + 16; x = b + 8; h = q + 7; q = n + 15; n = d + 16; d = l + 19; j = h + 12; s = 3; l = s + 17; r = s + 10; b = z + 3; g = v + 6; v = r + 19. If s = 3, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = q + 7 to j, which gives j = q + 19.\n2. Substitute q = n + 15 to j, which gives j = n + 34.\n3. Substitute n = d + 16 to j, which gives j = d + 50.\n4. Substitute d = l + 19 to j, which gives j = l + 69.\n5. Substitute l = s + 17 to j, which gives j = s + 86.\n6. Substitute s = 3 to j, which gives j = 89.\n\nThus, the final answer is j = \\boxed{89}.",
"index": 7988,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = g + 16; x = b + 8; h = q + 7; q = n + 15; n = d + 16; d = l + 19; j = h + 12; s = 3; l = s + 17; r = s + 10; b = z + 3; g = v + 6; v = r + 19. If s = 3, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"m": "r + 12", "k": "m + 15", "l": "k + 8", "g": "l + 18", "a": "g + 15", "f": "a + 20", "v": "r + 6", "d": "v + 16", "t": "d + 20", "h": "t + 10", "x": "h + 16", "o": "x + 19", "r": 18}, "premises": {"r": 18}, "target": "f"}, "answer": {"steps": [["a", "g + 15", "g + 35"], ["g", "l + 18", "l + 53"], ["l", "k + 8", "k + 61"], ["k", "m + 15", "m + 76"], ["m", "r + 12", "r + 88"], ["r", 18, "106"]], "target_var_name": "f", "target_value": 106, "value_dict": {"r": 18}, "is_reverse": true}} | 7,989 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = r + 6; g = l + 18; m = r + 12; h = t + 10; d = v + 16; t = d + 20; f = a + 20; x = h + 16; a = g + 15; l = k + 8; r = 18; k = m + 15; o = x + 19. If r = 18, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 106,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = g + 15 to f, which gives f = g + 35.\n2. Substitute g = l + 18 to f, which gives f = l + 53.\n3. Substitute l = k + 8 to f, which gives f = k + 61.\n4. Substitute k = m + 15 to f, which gives f = m + 76.\n5. Substitute m = r + 12 to f, which gives f = r + 88.\n6. Substitute r = 18 to f, which gives f = 106.\n\nThus, the final answer is f = \\boxed{106}.",
"index": 7989,
"question": "Consider a system of variables where each variable is defined as follows: v = r + 6; g = l + 18; m = r + 12; h = t + 10; d = v + 16; t = d + 20; f = a + 20; x = h + 16; a = g + 15; l = k + 8; r = 18; k = m + 15; o = x + 19. If r = 18, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"o": "r + 14", "n": "o + 15", "f": "n + 20", "y": "f + 6", "v": "y + 12", "e": "v + 18", "w": "r + 6", "s": "w + 20", "l": "s + 18", "k": "l + 19", "m": "k + 7", "c": "m + 6", "r": 2}, "premises": {"r": 2}, "target": "e"}, "answer": {"steps": [["v", "y + 12", "y + 30"], ["y", "f + 6", "f + 36"], ["f", "n + 20", "n + 56"], ["n", "o + 15", "o + 71"], ["o", "r + 14", "r + 85"], ["r", 2, "87"]], "target_var_name": "e", "target_value": 87, "value_dict": {"r": 2}, "is_reverse": true}} | 7,990 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = v + 18; f = n + 20; n = o + 15; m = k + 7; c = m + 6; y = f + 6; o = r + 14; r = 2; l = s + 18; s = w + 20; k = l + 19; w = r + 6; v = y + 12. If r = 2, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = y + 12 to e, which gives e = y + 30.\n2. Substitute y = f + 6 to e, which gives e = f + 36.\n3. Substitute f = n + 20 to e, which gives e = n + 56.\n4. Substitute n = o + 15 to e, which gives e = o + 71.\n5. Substitute o = r + 14 to e, which gives e = r + 85.\n6. Substitute r = 2 to e, which gives e = 87.\n\nThus, the final answer is e = \\boxed{87}.",
"index": 7990,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = v + 18; f = n + 20; n = o + 15; m = k + 7; c = m + 6; y = f + 6; o = r + 14; r = 2; l = s + 18; s = w + 20; k = l + 19; w = r + 6; v = y + 12. If r = 2, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"x": "b + 8", "c": "x + 9", "k": "c + 17", "t": "k + 6", "e": "t + 13", "z": "e + 2", "n": "b + 15", "l": "n + 6", "r": "l + 7", "v": "r + 1", "g": "v + 12", "w": "g + 19", "b": 7}, "premises": {"b": 7}, "target": "z"}, "answer": {"steps": [["e", "t + 13", "t + 15"], ["t", "k + 6", "k + 21"], ["k", "c + 17", "c + 38"], ["c", "x + 9", "x + 47"], ["x", "b + 8", "b + 55"], ["b", 7, "62"]], "target_var_name": "z", "target_value": 62, "value_dict": {"b": 7}, "is_reverse": true}} | 7,991 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = 7; k = c + 17; g = v + 12; n = b + 15; r = l + 7; w = g + 19; t = k + 6; v = r + 1; c = x + 9; l = n + 6; x = b + 8; e = t + 13; z = e + 2. Given that b = 7, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = t + 13 to z, which gives z = t + 15.\n2. Substitute t = k + 6 to z, which gives z = k + 21.\n3. Substitute k = c + 17 to z, which gives z = c + 38.\n4. Substitute c = x + 9 to z, which gives z = x + 47.\n5. Substitute x = b + 8 to z, which gives z = b + 55.\n6. Substitute b = 7 to z, which gives z = 62.\n\nThus, the final answer is z = \\boxed{62}.",
"index": 7991,
"question": "Suppose a collection of variables is related by the following definitions: b = 7; k = c + 17; g = v + 12; n = b + 15; r = l + 7; w = g + 19; t = k + 6; v = r + 1; c = x + 9; l = n + 6; x = b + 8; e = t + 13; z = e + 2. Given that b = 7, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"l": "i + 12", "c": "l + 3", "n": "c + 7", "y": "n + 14", "m": "y + 8", "t": "m + 6", "o": "i + 7", "w": "o + 4", "v": "w + 3", "u": "v + 19", "g": "u + 15", "q": "g + 6", "i": 20}, "premises": {"i": 20}, "target": "t"}, "answer": {"steps": [["m", "y + 8", "y + 14"], ["y", "n + 14", "n + 28"], ["n", "c + 7", "c + 35"], ["c", "l + 3", "l + 38"], ["l", "i + 12", "i + 50"], ["i", 20, "70"]], "target_var_name": "t", "target_value": 70, "value_dict": {"i": 20}, "is_reverse": true}} | 7,992 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = o + 4; m = y + 8; g = u + 15; u = v + 19; o = i + 7; v = w + 3; n = c + 7; i = 20; t = m + 6; q = g + 6; l = i + 12; y = n + 14; c = l + 3. Given that i = 20, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = y + 8 to t, which gives t = y + 14.\n2. Substitute y = n + 14 to t, which gives t = n + 28.\n3. Substitute n = c + 7 to t, which gives t = c + 35.\n4. Substitute c = l + 3 to t, which gives t = l + 38.\n5. Substitute l = i + 12 to t, which gives t = i + 50.\n6. Substitute i = 20 to t, which gives t = 70.\n\nThus, the final answer is t = \\boxed{70}.",
"index": 7992,
"question": "Suppose a collection of variables is related by the following definitions: w = o + 4; m = y + 8; g = u + 15; u = v + 19; o = i + 7; v = w + 3; n = c + 7; i = 20; t = m + 6; q = g + 6; l = i + 12; y = n + 14; c = l + 3. Given that i = 20, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"y": "w + 7", "f": "y + 4", "e": "f + 2", "x": "e + 8", "q": "x + 18", "c": "q + 17", "p": "w + 5", "b": "p + 20", "n": "b + 15", "t": "n + 2", "v": "t + 10", "j": "v + 20", "w": 9}, "premises": {"w": 9}, "target": "c"}, "answer": {"steps": [["q", "x + 18", "x + 35"], ["x", "e + 8", "e + 43"], ["e", "f + 2", "f + 45"], ["f", "y + 4", "y + 49"], ["y", "w + 7", "w + 56"], ["w", 9, "65"]], "target_var_name": "c", "target_value": 65, "value_dict": {"w": 9}, "is_reverse": true}} | 7,993 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = t + 10; f = y + 4; x = e + 8; c = q + 17; b = p + 20; j = v + 20; e = f + 2; p = w + 5; n = b + 15; q = x + 18; w = 9; y = w + 7; t = n + 2. Given that w = 9, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = x + 18 to c, which gives c = x + 35.\n2. Substitute x = e + 8 to c, which gives c = e + 43.\n3. Substitute e = f + 2 to c, which gives c = f + 45.\n4. Substitute f = y + 4 to c, which gives c = y + 49.\n5. Substitute y = w + 7 to c, which gives c = w + 56.\n6. Substitute w = 9 to c, which gives c = 65.\n\nThus, the final answer is c = \\boxed{65}.",
"index": 7993,
"question": "Suppose a collection of variables is related by the following definitions: v = t + 10; f = y + 4; x = e + 8; c = q + 17; b = p + 20; j = v + 20; e = f + 2; p = w + 5; n = b + 15; q = x + 18; w = 9; y = w + 7; t = n + 2. Given that w = 9, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"q": "s + 8", "b": "q + 13", "h": "b + 14", "k": "h + 16", "g": "k + 11", "l": "g + 9", "c": "s + 5", "t": "c + 11", "i": "t + 2", "y": "i + 18", "p": "y + 1", "x": "p + 3", "s": 14}, "premises": {"s": 14}, "target": "l"}, "answer": {"steps": [["g", "k + 11", "k + 20"], ["k", "h + 16", "h + 36"], ["h", "b + 14", "b + 50"], ["b", "q + 13", "q + 63"], ["q", "s + 8", "s + 71"], ["s", 14, "85"]], "target_var_name": "l", "target_value": 85, "value_dict": {"s": 14}, "is_reverse": true}} | 7,994 | 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 = p + 3; b = q + 13; p = y + 1; c = s + 5; k = h + 16; l = g + 9; t = c + 11; s = 14; y = i + 18; g = k + 11; q = s + 8; h = b + 14; i = t + 2. If s = 14, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = k + 11 to l, which gives l = k + 20.\n2. Substitute k = h + 16 to l, which gives l = h + 36.\n3. Substitute h = b + 14 to l, which gives l = b + 50.\n4. Substitute b = q + 13 to l, which gives l = q + 63.\n5. Substitute q = s + 8 to l, which gives l = s + 71.\n6. Substitute s = 14 to l, which gives l = 85.\n\nThus, the final answer is l = \\boxed{85}.",
"index": 7994,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = p + 3; b = q + 13; p = y + 1; c = s + 5; k = h + 16; l = g + 9; t = c + 11; s = 14; y = i + 18; g = k + 11; q = s + 8; h = b + 14; i = t + 2. If s = 14, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"r": "d + 16", "h": "r + 19", "c": "h + 20", "p": "c + 19", "w": "p + 18", "a": "w + 17", "b": "d + 14", "e": "b + 16", "f": "e + 5", "v": "f + 10", "q": "v + 3", "m": "q + 8", "d": 16}, "premises": {"d": 16}, "target": "a"}, "answer": {"steps": [["w", "p + 18", "p + 35"], ["p", "c + 19", "c + 54"], ["c", "h + 20", "h + 74"], ["h", "r + 19", "r + 93"], ["r", "d + 16", "d + 109"], ["d", 16, "125"]], "target_var_name": "a", "target_value": 125, "value_dict": {"d": 16}, "is_reverse": true}} | 7,995 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = d + 16; c = h + 20; h = r + 19; p = c + 19; d = 16; w = p + 18; e = b + 16; b = d + 14; q = v + 3; f = e + 5; a = w + 17; v = f + 10; m = q + 8. Given that d = 16, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 125,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = p + 18 to a, which gives a = p + 35.\n2. Substitute p = c + 19 to a, which gives a = c + 54.\n3. Substitute c = h + 20 to a, which gives a = h + 74.\n4. Substitute h = r + 19 to a, which gives a = r + 93.\n5. Substitute r = d + 16 to a, which gives a = d + 109.\n6. Substitute d = 16 to a, which gives a = 125.\n\nThus, the final answer is a = \\boxed{125}.",
"index": 7995,
"question": "Suppose a collection of variables is related by the following definitions: r = d + 16; c = h + 20; h = r + 19; p = c + 19; d = 16; w = p + 18; e = b + 16; b = d + 14; q = v + 3; f = e + 5; a = w + 17; v = f + 10; m = q + 8. Given that d = 16, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"y": "c + 10", "l": "y + 2", "m": "l + 1", "k": "m + 8", "f": "k + 3", "p": "f + 12", "q": "c + 11", "a": "q + 19", "o": "a + 6", "h": "o + 10", "d": "h + 1", "z": "d + 9", "c": 8}, "premises": {"c": 8}, "target": "p"}, "answer": {"steps": [["f", "k + 3", "k + 15"], ["k", "m + 8", "m + 23"], ["m", "l + 1", "l + 24"], ["l", "y + 2", "y + 26"], ["y", "c + 10", "c + 36"], ["c", 8, "44"]], "target_var_name": "p", "target_value": 44, "value_dict": {"c": 8}, "is_reverse": true}} | 7,996 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = y + 2; m = l + 1; p = f + 12; f = k + 3; a = q + 19; h = o + 10; d = h + 1; c = 8; q = c + 11; k = m + 8; z = d + 9; y = c + 10; o = a + 6. If c = 8, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 44,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = k + 3 to p, which gives p = k + 15.\n2. Substitute k = m + 8 to p, which gives p = m + 23.\n3. Substitute m = l + 1 to p, which gives p = l + 24.\n4. Substitute l = y + 2 to p, which gives p = y + 26.\n5. Substitute y = c + 10 to p, which gives p = c + 36.\n6. Substitute c = 8 to p, which gives p = 44.\n\nThus, the final answer is p = \\boxed{44}.",
"index": 7996,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = y + 2; m = l + 1; p = f + 12; f = k + 3; a = q + 19; h = o + 10; d = h + 1; c = 8; q = c + 11; k = m + 8; z = d + 9; y = c + 10; o = a + 6. If c = 8, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"x": "l + 4", "h": "x + 14", "e": "h + 12", "g": "e + 4", "k": "g + 19", "w": "k + 13", "z": "l + 10", "p": "z + 6", "c": "p + 16", "u": "c + 8", "f": "u + 16", "t": "f + 15", "l": 10}, "premises": {"l": 10}, "target": "w"}, "answer": {"steps": [["k", "g + 19", "g + 32"], ["g", "e + 4", "e + 36"], ["e", "h + 12", "h + 48"], ["h", "x + 14", "x + 62"], ["x", "l + 4", "l + 66"], ["l", 10, "76"]], "target_var_name": "w", "target_value": 76, "value_dict": {"l": 10}, "is_reverse": true}} | 7,997 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = e + 4; f = u + 16; w = k + 13; x = l + 4; t = f + 15; z = l + 10; p = z + 6; l = 10; e = h + 12; u = c + 8; c = p + 16; k = g + 19; h = x + 14. Given that l = 10, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = g + 19 to w, which gives w = g + 32.\n2. Substitute g = e + 4 to w, which gives w = e + 36.\n3. Substitute e = h + 12 to w, which gives w = h + 48.\n4. Substitute h = x + 14 to w, which gives w = x + 62.\n5. Substitute x = l + 4 to w, which gives w = l + 66.\n6. Substitute l = 10 to w, which gives w = 76.\n\nThus, the final answer is w = \\boxed{76}.",
"index": 7997,
"question": "Suppose a collection of variables is related by the following definitions: g = e + 4; f = u + 16; w = k + 13; x = l + 4; t = f + 15; z = l + 10; p = z + 6; l = 10; e = h + 12; u = c + 8; c = p + 16; k = g + 19; h = x + 14. Given that l = 10, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"o": "e + 5", "m": "o + 13", "x": "m + 11", "d": "x + 14", "h": "d + 9", "c": "h + 3", "l": "e + 16", "r": "l + 19", "v": "r + 4", "k": "v + 3", "s": "k + 17", "n": "s + 5", "e": 3}, "premises": {"e": 3}, "target": "c"}, "answer": {"steps": [["h", "d + 9", "d + 12"], ["d", "x + 14", "x + 26"], ["x", "m + 11", "m + 37"], ["m", "o + 13", "o + 50"], ["o", "e + 5", "e + 55"], ["e", 3, "58"]], "target_var_name": "c", "target_value": 58, "value_dict": {"e": 3}, "is_reverse": true}} | 7,998 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = x + 14; e = 3; r = l + 19; k = v + 3; l = e + 16; h = d + 9; v = r + 4; c = h + 3; o = e + 5; x = m + 11; m = o + 13; n = s + 5; s = k + 17. Given that e = 3, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = d + 9 to c, which gives c = d + 12.\n2. Substitute d = x + 14 to c, which gives c = x + 26.\n3. Substitute x = m + 11 to c, which gives c = m + 37.\n4. Substitute m = o + 13 to c, which gives c = o + 50.\n5. Substitute o = e + 5 to c, which gives c = e + 55.\n6. Substitute e = 3 to c, which gives c = 58.\n\nThus, the final answer is c = \\boxed{58}.",
"index": 7998,
"question": "Suppose a collection of variables is related by the following definitions: d = x + 14; e = 3; r = l + 19; k = v + 3; l = e + 16; h = d + 9; v = r + 4; c = h + 3; o = e + 5; x = m + 11; m = o + 13; n = s + 5; s = k + 17. Given that e = 3, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"a": "b + 18", "u": "a + 15", "t": "u + 8", "f": "t + 3", "g": "f + 11", "o": "g + 7", "l": "b + 16", "z": "l + 17", "h": "z + 6", "i": "h + 3", "e": "i + 4", "s": "e + 14", "b": 18}, "premises": {"b": 18}, "target": "o"}, "answer": {"steps": [["g", "f + 11", "f + 18"], ["f", "t + 3", "t + 21"], ["t", "u + 8", "u + 29"], ["u", "a + 15", "a + 44"], ["a", "b + 18", "b + 62"], ["b", 18, "80"]], "target_var_name": "o", "target_value": 80, "value_dict": {"b": 18}, "is_reverse": true}} | 7,999 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = h + 3; h = z + 6; b = 18; f = t + 3; l = b + 16; t = u + 8; u = a + 15; o = g + 7; s = e + 14; a = b + 18; g = f + 11; e = i + 4; z = l + 17. Given that b = 18, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = f + 11 to o, which gives o = f + 18.\n2. Substitute f = t + 3 to o, which gives o = t + 21.\n3. Substitute t = u + 8 to o, which gives o = u + 29.\n4. Substitute u = a + 15 to o, which gives o = a + 44.\n5. Substitute a = b + 18 to o, which gives o = b + 62.\n6. Substitute b = 18 to o, which gives o = 80.\n\nThus, the final answer is o = \\boxed{80}.",
"index": 7999,
"question": "Suppose a collection of variables is related by the following definitions: i = h + 3; h = z + 6; b = 18; f = t + 3; l = b + 16; t = u + 8; u = a + 15; o = g + 7; s = e + 14; a = b + 18; g = f + 11; e = i + 4; z = l + 17. Given that b = 18, find the value of o.",
"split": "train"
} |
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