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": {"u": "j + 3", "r": "u + 16", "h": "r + 10", "q": "h + 4", "n": "q + 8", "y": "n + 10", "a": "j + 11", "i": "a + 12", "e": "i + 2", "o": "e + 4", "l": "o + 18", "z": "l + 20", "j": 7}, "premises": {"j": 7}, "target": "y"}, "answer": {"steps": [["n", "q + 8", "q + 18"], ["q", "h + 4", "h + 22"], ["h", "r + 10", "r + 32"], ["r", "u + 16", "u + 48"], ["u", "j + 3", "j + 51"], ["j", 7, "58"]], "target_var_name": "y", "target_value": 58, "value_dict": {"j": 7}, "is_reverse": true}} | 8,700 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = u + 16; e = i + 2; h = r + 10; q = h + 4; i = a + 12; y = n + 10; a = j + 11; o = e + 4; u = j + 3; l = o + 18; n = q + 8; z = l + 20; j = 7. Given that j = 7, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = q + 8 to y, which gives y = q + 18.\n2. Substitute q = h + 4 to y, which gives y = h + 22.\n3. Substitute h = r + 10 to y, which gives y = r + 32.\n4. Substitute r = u + 16 to y, which gives y = u + 48.\n5. Substitute u = j + 3 to y, which gives y = j + 51.\n6. Substitute j = 7 to y, which gives y = 58.\n\nThus, the final answer is y = \\boxed{58}.",
"index": 8700,
"question": "Suppose a collection of variables is related by the following definitions: r = u + 16; e = i + 2; h = r + 10; q = h + 4; i = a + 12; y = n + 10; a = j + 11; o = e + 4; u = j + 3; l = o + 18; n = q + 8; z = l + 20; j = 7. Given that j = 7, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"n": "w + 15", "p": "n + 18", "s": "p + 2", "i": "s + 8", "c": "i + 13", "g": "c + 18", "z": "w + 18", "k": "z + 6", "x": "k + 8", "q": "x + 10", "t": "q + 6", "l": "t + 10", "w": 4}, "premises": {"w": 4}, "target": "g"}, "answer": {"steps": [["c", "i + 13", "i + 31"], ["i", "s + 8", "s + 39"], ["s", "p + 2", "p + 41"], ["p", "n + 18", "n + 59"], ["n", "w + 15", "w + 74"], ["w", 4, "78"]], "target_var_name": "g", "target_value": 78, "value_dict": {"w": 4}, "is_reverse": true}} | 8,701 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = z + 6; l = t + 10; i = s + 8; q = x + 10; z = w + 18; c = i + 13; x = k + 8; s = p + 2; g = c + 18; p = n + 18; w = 4; n = w + 15; t = q + 6. If w = 4, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = i + 13 to g, which gives g = i + 31.\n2. Substitute i = s + 8 to g, which gives g = s + 39.\n3. Substitute s = p + 2 to g, which gives g = p + 41.\n4. Substitute p = n + 18 to g, which gives g = n + 59.\n5. Substitute n = w + 15 to g, which gives g = w + 74.\n6. Substitute w = 4 to g, which gives g = 78.\n\nThus, the final answer is g = \\boxed{78}.",
"index": 8701,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = z + 6; l = t + 10; i = s + 8; q = x + 10; z = w + 18; c = i + 13; x = k + 8; s = p + 2; g = c + 18; p = n + 18; w = 4; n = w + 15; t = q + 6. If w = 4, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"e": "u + 4", "n": "e + 7", "i": "n + 19", "j": "i + 10", "x": "j + 6", "t": "x + 12", "b": "u + 2", "m": "b + 1", "z": "m + 6", "c": "z + 9", "s": "c + 3", "v": "s + 19", "u": 13}, "premises": {"u": 13}, "target": "t"}, "answer": {"steps": [["x", "j + 6", "j + 18"], ["j", "i + 10", "i + 28"], ["i", "n + 19", "n + 47"], ["n", "e + 7", "e + 54"], ["e", "u + 4", "u + 58"], ["u", 13, "71"]], "target_var_name": "t", "target_value": 71, "value_dict": {"u": 13}, "is_reverse": true}} | 8,702 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = b + 1; x = j + 6; i = n + 19; t = x + 12; v = s + 19; c = z + 9; s = c + 3; n = e + 7; u = 13; e = u + 4; z = m + 6; b = u + 2; j = i + 10. If u = 13, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = j + 6 to t, which gives t = j + 18.\n2. Substitute j = i + 10 to t, which gives t = i + 28.\n3. Substitute i = n + 19 to t, which gives t = n + 47.\n4. Substitute n = e + 7 to t, which gives t = e + 54.\n5. Substitute e = u + 4 to t, which gives t = u + 58.\n6. Substitute u = 13 to t, which gives t = 71.\n\nThus, the final answer is t = \\boxed{71}.",
"index": 8702,
"question": "Consider a system of variables where each variable is defined as follows: m = b + 1; x = j + 6; i = n + 19; t = x + 12; v = s + 19; c = z + 9; s = c + 3; n = e + 7; u = 13; e = u + 4; z = m + 6; b = u + 2; j = i + 10. If u = 13, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"g": "v + 9", "u": "g + 5", "n": "u + 9", "l": "n + 8", "c": "l + 20", "j": "c + 14", "m": "v + 16", "q": "m + 8", "s": "q + 14", "t": "s + 11", "x": "t + 1", "w": "x + 12", "v": 5}, "premises": {"v": 5}, "target": "j"}, "answer": {"steps": [["c", "l + 20", "l + 34"], ["l", "n + 8", "n + 42"], ["n", "u + 9", "u + 51"], ["u", "g + 5", "g + 56"], ["g", "v + 9", "v + 65"], ["v", 5, "70"]], "target_var_name": "j", "target_value": 70, "value_dict": {"v": 5}, "is_reverse": true}} | 8,703 | 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 = l + 20; t = s + 11; l = n + 8; s = q + 14; v = 5; q = m + 8; w = x + 12; u = g + 5; g = v + 9; n = u + 9; x = t + 1; j = c + 14; m = v + 16. If v = 5, 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 c = l + 20 to j, which gives j = l + 34.\n2. Substitute l = n + 8 to j, which gives j = n + 42.\n3. Substitute n = u + 9 to j, which gives j = u + 51.\n4. Substitute u = g + 5 to j, which gives j = g + 56.\n5. Substitute g = v + 9 to j, which gives j = v + 65.\n6. Substitute v = 5 to j, which gives j = 70.\n\nThus, the final answer is j = \\boxed{70}.",
"index": 8703,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = l + 20; t = s + 11; l = n + 8; s = q + 14; v = 5; q = m + 8; w = x + 12; u = g + 5; g = v + 9; n = u + 9; x = t + 1; j = c + 14; m = v + 16. If v = 5, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"i": "t + 19", "n": "i + 18", "b": "n + 18", "r": "b + 4", "x": "r + 17", "d": "x + 5", "y": "t + 11", "g": "y + 3", "l": "g + 17", "f": "l + 3", "j": "f + 1", "o": "j + 10", "t": 3}, "premises": {"t": 3}, "target": "d"}, "answer": {"steps": [["x", "r + 17", "r + 22"], ["r", "b + 4", "b + 26"], ["b", "n + 18", "n + 44"], ["n", "i + 18", "i + 62"], ["i", "t + 19", "t + 81"], ["t", 3, "84"]], "target_var_name": "d", "target_value": 84, "value_dict": {"t": 3}, "is_reverse": true}} | 8,704 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = x + 5; x = r + 17; b = n + 18; j = f + 1; i = t + 19; l = g + 17; f = l + 3; o = j + 10; g = y + 3; n = i + 18; y = t + 11; r = b + 4; t = 3. Given that t = 3, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = r + 17 to d, which gives d = r + 22.\n2. Substitute r = b + 4 to d, which gives d = b + 26.\n3. Substitute b = n + 18 to d, which gives d = n + 44.\n4. Substitute n = i + 18 to d, which gives d = i + 62.\n5. Substitute i = t + 19 to d, which gives d = t + 81.\n6. Substitute t = 3 to d, which gives d = 84.\n\nThus, the final answer is d = \\boxed{84}.",
"index": 8704,
"question": "Suppose a collection of variables is related by the following definitions: d = x + 5; x = r + 17; b = n + 18; j = f + 1; i = t + 19; l = g + 17; f = l + 3; o = j + 10; g = y + 3; n = i + 18; y = t + 11; r = b + 4; t = 3. Given that t = 3, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"z": "x + 8", "c": "z + 3", "w": "c + 8", "b": "w + 15", "y": "b + 10", "p": "y + 18", "d": "x + 3", "o": "d + 16", "n": "o + 13", "v": "n + 4", "h": "v + 12", "j": "h + 4", "x": 2}, "premises": {"x": 2}, "target": "p"}, "answer": {"steps": [["y", "b + 10", "b + 28"], ["b", "w + 15", "w + 43"], ["w", "c + 8", "c + 51"], ["c", "z + 3", "z + 54"], ["z", "x + 8", "x + 62"], ["x", 2, "64"]], "target_var_name": "p", "target_value": 64, "value_dict": {"x": 2}, "is_reverse": true}} | 8,705 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = z + 3; x = 2; d = x + 3; j = h + 4; h = v + 12; w = c + 8; z = x + 8; n = o + 13; b = w + 15; p = y + 18; o = d + 16; v = n + 4; y = b + 10. Given that x = 2, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = b + 10 to p, which gives p = b + 28.\n2. Substitute b = w + 15 to p, which gives p = w + 43.\n3. Substitute w = c + 8 to p, which gives p = c + 51.\n4. Substitute c = z + 3 to p, which gives p = z + 54.\n5. Substitute z = x + 8 to p, which gives p = x + 62.\n6. Substitute x = 2 to p, which gives p = 64.\n\nThus, the final answer is p = \\boxed{64}.",
"index": 8705,
"question": "Suppose a collection of variables is related by the following definitions: c = z + 3; x = 2; d = x + 3; j = h + 4; h = v + 12; w = c + 8; z = x + 8; n = o + 13; b = w + 15; p = y + 18; o = d + 16; v = n + 4; y = b + 10. Given that x = 2, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"q": "z + 17", "c": "q + 11", "o": "c + 16", "i": "o + 4", "a": "i + 18", "n": "a + 11", "h": "z + 16", "u": "h + 2", "e": "u + 17", "f": "e + 20", "k": "f + 15", "p": "k + 8", "z": 3}, "premises": {"z": 3}, "target": "n"}, "answer": {"steps": [["a", "i + 18", "i + 29"], ["i", "o + 4", "o + 33"], ["o", "c + 16", "c + 49"], ["c", "q + 11", "q + 60"], ["q", "z + 17", "z + 77"], ["z", 3, "80"]], "target_var_name": "n", "target_value": 80, "value_dict": {"z": 3}, "is_reverse": true}} | 8,706 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = c + 16; n = a + 11; f = e + 20; e = u + 17; i = o + 4; u = h + 2; k = f + 15; a = i + 18; p = k + 8; h = z + 16; q = z + 17; c = q + 11; z = 3. If z = 3, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = i + 18 to n, which gives n = i + 29.\n2. Substitute i = o + 4 to n, which gives n = o + 33.\n3. Substitute o = c + 16 to n, which gives n = c + 49.\n4. Substitute c = q + 11 to n, which gives n = q + 60.\n5. Substitute q = z + 17 to n, which gives n = z + 77.\n6. Substitute z = 3 to n, which gives n = 80.\n\nThus, the final answer is n = \\boxed{80}.",
"index": 8706,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = c + 16; n = a + 11; f = e + 20; e = u + 17; i = o + 4; u = h + 2; k = f + 15; a = i + 18; p = k + 8; h = z + 16; q = z + 17; c = q + 11; z = 3. If z = 3, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"f": "s + 2", "z": "f + 1", "l": "z + 2", "b": "l + 14", "g": "b + 14", "k": "g + 7", "q": "s + 3", "d": "q + 3", "i": "d + 9", "n": "i + 14", "x": "n + 8", "m": "x + 11", "s": 3}, "premises": {"s": 3}, "target": "k"}, "answer": {"steps": [["g", "b + 14", "b + 21"], ["b", "l + 14", "l + 35"], ["l", "z + 2", "z + 37"], ["z", "f + 1", "f + 38"], ["f", "s + 2", "s + 40"], ["s", 3, "43"]], "target_var_name": "k", "target_value": 43, "value_dict": {"s": 3}, "is_reverse": true}} | 8,707 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = d + 9; s = 3; m = x + 11; k = g + 7; l = z + 2; n = i + 14; b = l + 14; d = q + 3; z = f + 1; q = s + 3; x = n + 8; g = b + 14; f = s + 2. If s = 3, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = b + 14 to k, which gives k = b + 21.\n2. Substitute b = l + 14 to k, which gives k = l + 35.\n3. Substitute l = z + 2 to k, which gives k = z + 37.\n4. Substitute z = f + 1 to k, which gives k = f + 38.\n5. Substitute f = s + 2 to k, which gives k = s + 40.\n6. Substitute s = 3 to k, which gives k = 43.\n\nThus, the final answer is k = \\boxed{43}.",
"index": 8707,
"question": "Consider a system of variables where each variable is defined as follows: i = d + 9; s = 3; m = x + 11; k = g + 7; l = z + 2; n = i + 14; b = l + 14; d = q + 3; z = f + 1; q = s + 3; x = n + 8; g = b + 14; f = s + 2. If s = 3, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"p": "j + 15", "b": "p + 17", "u": "b + 3", "x": "u + 10", "t": "x + 13", "d": "t + 6", "e": "j + 19", "y": "e + 3", "o": "y + 18", "w": "o + 13", "h": "w + 5", "k": "h + 19", "j": 15}, "premises": {"j": 15}, "target": "d"}, "answer": {"steps": [["t", "x + 13", "x + 19"], ["x", "u + 10", "u + 29"], ["u", "b + 3", "b + 32"], ["b", "p + 17", "p + 49"], ["p", "j + 15", "j + 64"], ["j", 15, "79"]], "target_var_name": "d", "target_value": 79, "value_dict": {"j": 15}, "is_reverse": true}} | 8,708 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = j + 15; o = y + 18; j = 15; u = b + 3; y = e + 3; b = p + 17; k = h + 19; x = u + 10; t = x + 13; w = o + 13; d = t + 6; h = w + 5; e = j + 19. If j = 15, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = x + 13 to d, which gives d = x + 19.\n2. Substitute x = u + 10 to d, which gives d = u + 29.\n3. Substitute u = b + 3 to d, which gives d = b + 32.\n4. Substitute b = p + 17 to d, which gives d = p + 49.\n5. Substitute p = j + 15 to d, which gives d = j + 64.\n6. Substitute j = 15 to d, which gives d = 79.\n\nThus, the final answer is d = \\boxed{79}.",
"index": 8708,
"question": "Consider a system of variables where each variable is defined as follows: p = j + 15; o = y + 18; j = 15; u = b + 3; y = e + 3; b = p + 17; k = h + 19; x = u + 10; t = x + 13; w = o + 13; d = t + 6; h = w + 5; e = j + 19. If j = 15, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"p": "k + 20", "f": "p + 13", "g": "f + 16", "s": "g + 2", "v": "s + 8", "x": "v + 6", "n": "k + 9", "o": "n + 7", "a": "o + 1", "r": "a + 9", "m": "r + 13", "w": "m + 13", "k": 13}, "premises": {"k": 13}, "target": "x"}, "answer": {"steps": [["v", "s + 8", "s + 14"], ["s", "g + 2", "g + 16"], ["g", "f + 16", "f + 32"], ["f", "p + 13", "p + 45"], ["p", "k + 20", "k + 65"], ["k", 13, "78"]], "target_var_name": "x", "target_value": 78, "value_dict": {"k": 13}, "is_reverse": true}} | 8,709 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = s + 8; x = v + 6; w = m + 13; r = a + 9; o = n + 7; f = p + 13; s = g + 2; k = 13; a = o + 1; p = k + 20; n = k + 9; g = f + 16; m = r + 13. Given that k = 13, find 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 = s + 8 to x, which gives x = s + 14.\n2. Substitute s = g + 2 to x, which gives x = g + 16.\n3. Substitute g = f + 16 to x, which gives x = f + 32.\n4. Substitute f = p + 13 to x, which gives x = p + 45.\n5. Substitute p = k + 20 to x, which gives x = k + 65.\n6. Substitute k = 13 to x, which gives x = 78.\n\nThus, the final answer is x = \\boxed{78}.",
"index": 8709,
"question": "Suppose a collection of variables is related by the following definitions: v = s + 8; x = v + 6; w = m + 13; r = a + 9; o = n + 7; f = p + 13; s = g + 2; k = 13; a = o + 1; p = k + 20; n = k + 9; g = f + 16; m = r + 13. Given that k = 13, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"p": "c + 20", "m": "p + 11", "r": "m + 14", "a": "r + 14", "u": "a + 18", "d": "u + 18", "k": "c + 9", "s": "k + 6", "w": "s + 5", "h": "w + 20", "q": "h + 9", "g": "q + 15", "c": 1}, "premises": {"c": 1}, "target": "d"}, "answer": {"steps": [["u", "a + 18", "a + 36"], ["a", "r + 14", "r + 50"], ["r", "m + 14", "m + 64"], ["m", "p + 11", "p + 75"], ["p", "c + 20", "c + 95"], ["c", 1, "96"]], "target_var_name": "d", "target_value": 96, "value_dict": {"c": 1}, "is_reverse": true}} | 8,710 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = 1; r = m + 14; d = u + 18; p = c + 20; g = q + 15; h = w + 20; u = a + 18; s = k + 6; a = r + 14; w = s + 5; m = p + 11; k = c + 9; q = h + 9. If c = 1, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = a + 18 to d, which gives d = a + 36.\n2. Substitute a = r + 14 to d, which gives d = r + 50.\n3. Substitute r = m + 14 to d, which gives d = m + 64.\n4. Substitute m = p + 11 to d, which gives d = p + 75.\n5. Substitute p = c + 20 to d, which gives d = c + 95.\n6. Substitute c = 1 to d, which gives d = 96.\n\nThus, the final answer is d = \\boxed{96}.",
"index": 8710,
"question": "Consider a system of variables where each variable is defined as follows: c = 1; r = m + 14; d = u + 18; p = c + 20; g = q + 15; h = w + 20; u = a + 18; s = k + 6; a = r + 14; w = s + 5; m = p + 11; k = c + 9; q = h + 9. If c = 1, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"c": "i + 5", "f": "c + 13", "t": "f + 10", "x": "t + 6", "n": "x + 2", "p": "n + 11", "q": "i + 20", "r": "q + 5", "u": "r + 18", "l": "u + 9", "a": "l + 7", "k": "a + 1", "i": 7}, "premises": {"i": 7}, "target": "p"}, "answer": {"steps": [["n", "x + 2", "x + 13"], ["x", "t + 6", "t + 19"], ["t", "f + 10", "f + 29"], ["f", "c + 13", "c + 42"], ["c", "i + 5", "i + 47"], ["i", 7, "54"]], "target_var_name": "p", "target_value": 54, "value_dict": {"i": 7}, "is_reverse": true}} | 8,711 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = r + 18; r = q + 5; n = x + 2; i = 7; f = c + 13; c = i + 5; l = u + 9; k = a + 1; a = l + 7; t = f + 10; q = i + 20; x = t + 6; p = n + 11. If i = 7, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = x + 2 to p, which gives p = x + 13.\n2. Substitute x = t + 6 to p, which gives p = t + 19.\n3. Substitute t = f + 10 to p, which gives p = f + 29.\n4. Substitute f = c + 13 to p, which gives p = c + 42.\n5. Substitute c = i + 5 to p, which gives p = i + 47.\n6. Substitute i = 7 to p, which gives p = 54.\n\nThus, the final answer is p = \\boxed{54}.",
"index": 8711,
"question": "Consider a system of variables where each variable is defined as follows: u = r + 18; r = q + 5; n = x + 2; i = 7; f = c + 13; c = i + 5; l = u + 9; k = a + 1; a = l + 7; t = f + 10; q = i + 20; x = t + 6; p = n + 11. If i = 7, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"f": "s + 2", "k": "f + 7", "i": "k + 11", "l": "i + 17", "h": "l + 19", "e": "h + 2", "b": "s + 1", "y": "b + 9", "g": "y + 5", "d": "g + 15", "p": "d + 5", "a": "p + 7", "s": 2}, "premises": {"s": 2}, "target": "e"}, "answer": {"steps": [["h", "l + 19", "l + 21"], ["l", "i + 17", "i + 38"], ["i", "k + 11", "k + 49"], ["k", "f + 7", "f + 56"], ["f", "s + 2", "s + 58"], ["s", 2, "60"]], "target_var_name": "e", "target_value": 60, "value_dict": {"s": 2}, "is_reverse": true}} | 8,712 | 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 + 17; i = k + 11; p = d + 5; y = b + 9; b = s + 1; s = 2; h = l + 19; e = h + 2; a = p + 7; f = s + 2; g = y + 5; d = g + 15; k = f + 7. If s = 2, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = l + 19 to e, which gives e = l + 21.\n2. Substitute l = i + 17 to e, which gives e = i + 38.\n3. Substitute i = k + 11 to e, which gives e = k + 49.\n4. Substitute k = f + 7 to e, which gives e = f + 56.\n5. Substitute f = s + 2 to e, which gives e = s + 58.\n6. Substitute s = 2 to e, which gives e = 60.\n\nThus, the final answer is e = \\boxed{60}.",
"index": 8712,
"question": "Consider a system of variables where each variable is defined as follows: l = i + 17; i = k + 11; p = d + 5; y = b + 9; b = s + 1; s = 2; h = l + 19; e = h + 2; a = p + 7; f = s + 2; g = y + 5; d = g + 15; k = f + 7. If s = 2, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"h": "x + 14", "i": "h + 4", "u": "i + 15", "m": "u + 4", "f": "m + 12", "l": "f + 8", "b": "x + 10", "j": "b + 5", "d": "j + 13", "v": "d + 15", "w": "v + 3", "z": "w + 17", "x": 1}, "premises": {"x": 1}, "target": "l"}, "answer": {"steps": [["f", "m + 12", "m + 20"], ["m", "u + 4", "u + 24"], ["u", "i + 15", "i + 39"], ["i", "h + 4", "h + 43"], ["h", "x + 14", "x + 57"], ["x", 1, "58"]], "target_var_name": "l", "target_value": 58, "value_dict": {"x": 1}, "is_reverse": true}} | 8,713 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = m + 12; d = j + 13; z = w + 17; i = h + 4; u = i + 15; j = b + 5; b = x + 10; l = f + 8; m = u + 4; v = d + 15; h = x + 14; x = 1; w = v + 3. If x = 1, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = m + 12 to l, which gives l = m + 20.\n2. Substitute m = u + 4 to l, which gives l = u + 24.\n3. Substitute u = i + 15 to l, which gives l = i + 39.\n4. Substitute i = h + 4 to l, which gives l = h + 43.\n5. Substitute h = x + 14 to l, which gives l = x + 57.\n6. Substitute x = 1 to l, which gives l = 58.\n\nThus, the final answer is l = \\boxed{58}.",
"index": 8713,
"question": "Consider a system of variables where each variable is defined as follows: f = m + 12; d = j + 13; z = w + 17; i = h + 4; u = i + 15; j = b + 5; b = x + 10; l = f + 8; m = u + 4; v = d + 15; h = x + 14; x = 1; w = v + 3. If x = 1, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"v": "m + 10", "b": "v + 5", "g": "b + 15", "i": "g + 2", "c": "i + 3", "f": "c + 9", "p": "m + 13", "o": "p + 4", "t": "o + 1", "x": "t + 10", "r": "x + 6", "y": "r + 1", "m": 11}, "premises": {"m": 11}, "target": "f"}, "answer": {"steps": [["c", "i + 3", "i + 12"], ["i", "g + 2", "g + 14"], ["g", "b + 15", "b + 29"], ["b", "v + 5", "v + 34"], ["v", "m + 10", "m + 44"], ["m", 11, "55"]], "target_var_name": "f", "target_value": 55, "value_dict": {"m": 11}, "is_reverse": true}} | 8,714 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = p + 4; b = v + 5; t = o + 1; i = g + 2; v = m + 10; f = c + 9; p = m + 13; m = 11; r = x + 6; g = b + 15; c = i + 3; y = r + 1; x = t + 10. If m = 11, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = i + 3 to f, which gives f = i + 12.\n2. Substitute i = g + 2 to f, which gives f = g + 14.\n3. Substitute g = b + 15 to f, which gives f = b + 29.\n4. Substitute b = v + 5 to f, which gives f = v + 34.\n5. Substitute v = m + 10 to f, which gives f = m + 44.\n6. Substitute m = 11 to f, which gives f = 55.\n\nThus, the final answer is f = \\boxed{55}.",
"index": 8714,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = p + 4; b = v + 5; t = o + 1; i = g + 2; v = m + 10; f = c + 9; p = m + 13; m = 11; r = x + 6; g = b + 15; c = i + 3; y = r + 1; x = t + 10. If m = 11, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"w": "a + 13", "f": "w + 12", "m": "f + 7", "b": "m + 9", "s": "b + 11", "g": "s + 11", "z": "a + 16", "n": "z + 11", "t": "n + 5", "u": "t + 10", "e": "u + 12", "q": "e + 8", "a": 11}, "premises": {"a": 11}, "target": "g"}, "answer": {"steps": [["s", "b + 11", "b + 22"], ["b", "m + 9", "m + 31"], ["m", "f + 7", "f + 38"], ["f", "w + 12", "w + 50"], ["w", "a + 13", "a + 63"], ["a", 11, "74"]], "target_var_name": "g", "target_value": 74, "value_dict": {"a": 11}, "is_reverse": true}} | 8,715 | 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 = u + 12; t = n + 5; a = 11; n = z + 11; m = f + 7; z = a + 16; g = s + 11; s = b + 11; q = e + 8; f = w + 12; w = a + 13; b = m + 9; u = t + 10. If a = 11, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = b + 11 to g, which gives g = b + 22.\n2. Substitute b = m + 9 to g, which gives g = m + 31.\n3. Substitute m = f + 7 to g, which gives g = f + 38.\n4. Substitute f = w + 12 to g, which gives g = w + 50.\n5. Substitute w = a + 13 to g, which gives g = a + 63.\n6. Substitute a = 11 to g, which gives g = 74.\n\nThus, the final answer is g = \\boxed{74}.",
"index": 8715,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = u + 12; t = n + 5; a = 11; n = z + 11; m = f + 7; z = a + 16; g = s + 11; s = b + 11; q = e + 8; f = w + 12; w = a + 13; b = m + 9; u = t + 10. If a = 11, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"t": "l + 3", "f": "t + 5", "h": "f + 13", "p": "h + 17", "e": "p + 2", "i": "e + 5", "s": "l + 7", "a": "s + 7", "j": "a + 7", "o": "j + 2", "z": "o + 15", "b": "z + 7", "l": 18}, "premises": {"l": 18}, "target": "i"}, "answer": {"steps": [["e", "p + 2", "p + 7"], ["p", "h + 17", "h + 24"], ["h", "f + 13", "f + 37"], ["f", "t + 5", "t + 42"], ["t", "l + 3", "l + 45"], ["l", 18, "63"]], "target_var_name": "i", "target_value": 63, "value_dict": {"l": 18}, "is_reverse": true}} | 8,716 | 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 = e + 5; j = a + 7; z = o + 15; s = l + 7; f = t + 5; l = 18; h = f + 13; o = j + 2; p = h + 17; b = z + 7; a = s + 7; t = l + 3; e = p + 2. If l = 18, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = p + 2 to i, which gives i = p + 7.\n2. Substitute p = h + 17 to i, which gives i = h + 24.\n3. Substitute h = f + 13 to i, which gives i = f + 37.\n4. Substitute f = t + 5 to i, which gives i = t + 42.\n5. Substitute t = l + 3 to i, which gives i = l + 45.\n6. Substitute l = 18 to i, which gives i = 63.\n\nThus, the final answer is i = \\boxed{63}.",
"index": 8716,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = e + 5; j = a + 7; z = o + 15; s = l + 7; f = t + 5; l = 18; h = f + 13; o = j + 2; p = h + 17; b = z + 7; a = s + 7; t = l + 3; e = p + 2. If l = 18, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"d": "z + 4", "u": "d + 7", "r": "u + 20", "m": "r + 1", "q": "m + 17", "g": "q + 15", "t": "z + 14", "x": "t + 12", "l": "x + 13", "o": "l + 14", "w": "o + 10", "k": "w + 7", "z": 9}, "premises": {"z": 9}, "target": "g"}, "answer": {"steps": [["q", "m + 17", "m + 32"], ["m", "r + 1", "r + 33"], ["r", "u + 20", "u + 53"], ["u", "d + 7", "d + 60"], ["d", "z + 4", "z + 64"], ["z", 9, "73"]], "target_var_name": "g", "target_value": 73, "value_dict": {"z": 9}, "is_reverse": true}} | 8,717 | 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 = u + 20; z = 9; w = o + 10; u = d + 7; o = l + 14; q = m + 17; t = z + 14; d = z + 4; g = q + 15; x = t + 12; l = x + 13; k = w + 7; m = r + 1. If z = 9, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = m + 17 to g, which gives g = m + 32.\n2. Substitute m = r + 1 to g, which gives g = r + 33.\n3. Substitute r = u + 20 to g, which gives g = u + 53.\n4. Substitute u = d + 7 to g, which gives g = d + 60.\n5. Substitute d = z + 4 to g, which gives g = z + 64.\n6. Substitute z = 9 to g, which gives g = 73.\n\nThus, the final answer is g = \\boxed{73}.",
"index": 8717,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = u + 20; z = 9; w = o + 10; u = d + 7; o = l + 14; q = m + 17; t = z + 14; d = z + 4; g = q + 15; x = t + 12; l = x + 13; k = w + 7; m = r + 1. If z = 9, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"l": "j + 1", "z": "l + 20", "g": "z + 16", "h": "g + 14", "o": "h + 17", "v": "o + 8", "q": "j + 19", "f": "q + 3", "y": "f + 1", "n": "y + 2", "w": "n + 4", "a": "w + 7", "j": 16}, "premises": {"j": 16}, "target": "v"}, "answer": {"steps": [["o", "h + 17", "h + 25"], ["h", "g + 14", "g + 39"], ["g", "z + 16", "z + 55"], ["z", "l + 20", "l + 75"], ["l", "j + 1", "j + 76"], ["j", 16, "92"]], "target_var_name": "v", "target_value": 92, "value_dict": {"j": 16}, "is_reverse": true}} | 8,718 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = g + 14; a = w + 7; q = j + 19; j = 16; v = o + 8; l = j + 1; y = f + 1; n = y + 2; w = n + 4; o = h + 17; g = z + 16; z = l + 20; f = q + 3. Given that j = 16, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = h + 17 to v, which gives v = h + 25.\n2. Substitute h = g + 14 to v, which gives v = g + 39.\n3. Substitute g = z + 16 to v, which gives v = z + 55.\n4. Substitute z = l + 20 to v, which gives v = l + 75.\n5. Substitute l = j + 1 to v, which gives v = j + 76.\n6. Substitute j = 16 to v, which gives v = 92.\n\nThus, the final answer is v = \\boxed{92}.",
"index": 8718,
"question": "Suppose a collection of variables is related by the following definitions: h = g + 14; a = w + 7; q = j + 19; j = 16; v = o + 8; l = j + 1; y = f + 1; n = y + 2; w = n + 4; o = h + 17; g = z + 16; z = l + 20; f = q + 3. Given that j = 16, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"v": "m + 6", "h": "v + 4", "e": "h + 11", "i": "e + 10", "t": "i + 19", "w": "t + 9", "b": "m + 12", "j": "b + 15", "k": "j + 11", "x": "k + 18", "r": "x + 16", "o": "r + 8", "m": 19}, "premises": {"m": 19}, "target": "w"}, "answer": {"steps": [["t", "i + 19", "i + 28"], ["i", "e + 10", "e + 38"], ["e", "h + 11", "h + 49"], ["h", "v + 4", "v + 53"], ["v", "m + 6", "m + 59"], ["m", 19, "78"]], "target_var_name": "w", "target_value": 78, "value_dict": {"m": 19}, "is_reverse": true}} | 8,719 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = e + 10; r = x + 16; e = h + 11; k = j + 11; v = m + 6; j = b + 15; m = 19; o = r + 8; w = t + 9; h = v + 4; b = m + 12; t = i + 19; x = k + 18. Given that m = 19, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = i + 19 to w, which gives w = i + 28.\n2. Substitute i = e + 10 to w, which gives w = e + 38.\n3. Substitute e = h + 11 to w, which gives w = h + 49.\n4. Substitute h = v + 4 to w, which gives w = v + 53.\n5. Substitute v = m + 6 to w, which gives w = m + 59.\n6. Substitute m = 19 to w, which gives w = 78.\n\nThus, the final answer is w = \\boxed{78}.",
"index": 8719,
"question": "Suppose a collection of variables is related by the following definitions: i = e + 10; r = x + 16; e = h + 11; k = j + 11; v = m + 6; j = b + 15; m = 19; o = r + 8; w = t + 9; h = v + 4; b = m + 12; t = i + 19; x = k + 18. Given that m = 19, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"z": "u + 17", "k": "z + 12", "i": "k + 12", "h": "i + 19", "a": "h + 20", "l": "a + 15", "o": "u + 16", "p": "o + 13", "y": "p + 20", "f": "y + 19", "c": "f + 1", "v": "c + 2", "u": 5}, "premises": {"u": 5}, "target": "l"}, "answer": {"steps": [["a", "h + 20", "h + 35"], ["h", "i + 19", "i + 54"], ["i", "k + 12", "k + 66"], ["k", "z + 12", "z + 78"], ["z", "u + 17", "u + 95"], ["u", 5, "100"]], "target_var_name": "l", "target_value": 100, "value_dict": {"u": 5}, "is_reverse": true}} | 8,720 | 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 = u + 17; v = c + 2; h = i + 19; l = a + 15; o = u + 16; f = y + 19; p = o + 13; u = 5; y = p + 20; a = h + 20; c = f + 1; k = z + 12; i = k + 12. If u = 5, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = h + 20 to l, which gives l = h + 35.\n2. Substitute h = i + 19 to l, which gives l = i + 54.\n3. Substitute i = k + 12 to l, which gives l = k + 66.\n4. Substitute k = z + 12 to l, which gives l = z + 78.\n5. Substitute z = u + 17 to l, which gives l = u + 95.\n6. Substitute u = 5 to l, which gives l = 100.\n\nThus, the final answer is l = \\boxed{100}.",
"index": 8720,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = u + 17; v = c + 2; h = i + 19; l = a + 15; o = u + 16; f = y + 19; p = o + 13; u = 5; y = p + 20; a = h + 20; c = f + 1; k = z + 12; i = k + 12. If u = 5, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"h": "c + 6", "m": "h + 8", "d": "m + 13", "p": "d + 14", "n": "p + 20", "i": "n + 4", "q": "c + 9", "l": "q + 18", "u": "l + 10", "a": "u + 13", "v": "a + 5", "y": "v + 12", "c": 2}, "premises": {"c": 2}, "target": "i"}, "answer": {"steps": [["n", "p + 20", "p + 24"], ["p", "d + 14", "d + 38"], ["d", "m + 13", "m + 51"], ["m", "h + 8", "h + 59"], ["h", "c + 6", "c + 65"], ["c", 2, "67"]], "target_var_name": "i", "target_value": 67, "value_dict": {"c": 2}, "is_reverse": true}} | 8,721 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = d + 14; n = p + 20; v = a + 5; u = l + 10; h = c + 6; d = m + 13; c = 2; i = n + 4; y = v + 12; q = c + 9; a = u + 13; l = q + 18; m = h + 8. If c = 2, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = p + 20 to i, which gives i = p + 24.\n2. Substitute p = d + 14 to i, which gives i = d + 38.\n3. Substitute d = m + 13 to i, which gives i = m + 51.\n4. Substitute m = h + 8 to i, which gives i = h + 59.\n5. Substitute h = c + 6 to i, which gives i = c + 65.\n6. Substitute c = 2 to i, which gives i = 67.\n\nThus, the final answer is i = \\boxed{67}.",
"index": 8721,
"question": "Consider a system of variables where each variable is defined as follows: p = d + 14; n = p + 20; v = a + 5; u = l + 10; h = c + 6; d = m + 13; c = 2; i = n + 4; y = v + 12; q = c + 9; a = u + 13; l = q + 18; m = h + 8. If c = 2, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"y": "b + 2", "v": "y + 20", "j": "v + 17", "p": "j + 12", "s": "p + 2", "o": "s + 16", "h": "b + 5", "z": "h + 3", "l": "z + 15", "x": "l + 20", "k": "x + 1", "i": "k + 6", "b": 12}, "premises": {"b": 12}, "target": "o"}, "answer": {"steps": [["s", "p + 2", "p + 18"], ["p", "j + 12", "j + 30"], ["j", "v + 17", "v + 47"], ["v", "y + 20", "y + 67"], ["y", "b + 2", "b + 69"], ["b", 12, "81"]], "target_var_name": "o", "target_value": 81, "value_dict": {"b": 12}, "is_reverse": true}} | 8,722 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = b + 2; z = h + 3; o = s + 16; h = b + 5; s = p + 2; x = l + 20; j = v + 17; p = j + 12; v = y + 20; b = 12; l = z + 15; k = x + 1; i = k + 6. If b = 12, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = p + 2 to o, which gives o = p + 18.\n2. Substitute p = j + 12 to o, which gives o = j + 30.\n3. Substitute j = v + 17 to o, which gives o = v + 47.\n4. Substitute v = y + 20 to o, which gives o = y + 67.\n5. Substitute y = b + 2 to o, which gives o = b + 69.\n6. Substitute b = 12 to o, which gives o = 81.\n\nThus, the final answer is o = \\boxed{81}.",
"index": 8722,
"question": "Consider a system of variables where each variable is defined as follows: y = b + 2; z = h + 3; o = s + 16; h = b + 5; s = p + 2; x = l + 20; j = v + 17; p = j + 12; v = y + 20; b = 12; l = z + 15; k = x + 1; i = k + 6. If b = 12, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"d": "z + 6", "y": "d + 7", "u": "y + 19", "v": "u + 12", "h": "v + 16", "k": "h + 3", "j": "z + 12", "a": "j + 16", "i": "a + 17", "q": "i + 12", "w": "q + 6", "r": "w + 18", "z": 16}, "premises": {"z": 16}, "target": "k"}, "answer": {"steps": [["h", "v + 16", "v + 19"], ["v", "u + 12", "u + 31"], ["u", "y + 19", "y + 50"], ["y", "d + 7", "d + 57"], ["d", "z + 6", "z + 63"], ["z", 16, "79"]], "target_var_name": "k", "target_value": 79, "value_dict": {"z": 16}, "is_reverse": true}} | 8,723 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = i + 12; y = d + 7; z = 16; j = z + 12; a = j + 16; u = y + 19; r = w + 18; v = u + 12; i = a + 17; w = q + 6; d = z + 6; k = h + 3; h = v + 16. Given that z = 16, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = v + 16 to k, which gives k = v + 19.\n2. Substitute v = u + 12 to k, which gives k = u + 31.\n3. Substitute u = y + 19 to k, which gives k = y + 50.\n4. Substitute y = d + 7 to k, which gives k = d + 57.\n5. Substitute d = z + 6 to k, which gives k = z + 63.\n6. Substitute z = 16 to k, which gives k = 79.\n\nThus, the final answer is k = \\boxed{79}.",
"index": 8723,
"question": "Suppose a collection of variables is related by the following definitions: q = i + 12; y = d + 7; z = 16; j = z + 12; a = j + 16; u = y + 19; r = w + 18; v = u + 12; i = a + 17; w = q + 6; d = z + 6; k = h + 3; h = v + 16. Given that z = 16, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"y": "c + 7", "z": "y + 12", "t": "z + 8", "k": "t + 3", "h": "k + 19", "g": "h + 18", "u": "c + 9", "x": "u + 11", "l": "x + 16", "o": "l + 3", "r": "o + 5", "d": "r + 6", "c": 14}, "premises": {"c": 14}, "target": "g"}, "answer": {"steps": [["h", "k + 19", "k + 37"], ["k", "t + 3", "t + 40"], ["t", "z + 8", "z + 48"], ["z", "y + 12", "y + 60"], ["y", "c + 7", "c + 67"], ["c", 14, "81"]], "target_var_name": "g", "target_value": 81, "value_dict": {"c": 14}, "is_reverse": true}} | 8,724 | 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 = x + 16; z = y + 12; o = l + 3; g = h + 18; k = t + 3; y = c + 7; x = u + 11; r = o + 5; c = 14; u = c + 9; d = r + 6; t = z + 8; h = k + 19. If c = 14, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = k + 19 to g, which gives g = k + 37.\n2. Substitute k = t + 3 to g, which gives g = t + 40.\n3. Substitute t = z + 8 to g, which gives g = z + 48.\n4. Substitute z = y + 12 to g, which gives g = y + 60.\n5. Substitute y = c + 7 to g, which gives g = c + 67.\n6. Substitute c = 14 to g, which gives g = 81.\n\nThus, the final answer is g = \\boxed{81}.",
"index": 8724,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = x + 16; z = y + 12; o = l + 3; g = h + 18; k = t + 3; y = c + 7; x = u + 11; r = o + 5; c = 14; u = c + 9; d = r + 6; t = z + 8; h = k + 19. If c = 14, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"t": "a + 5", "s": "t + 5", "e": "s + 7", "g": "e + 3", "b": "g + 13", "y": "b + 19", "p": "a + 1", "i": "p + 15", "h": "i + 7", "x": "h + 10", "o": "x + 19", "l": "o + 7", "a": 17}, "premises": {"a": 17}, "target": "y"}, "answer": {"steps": [["b", "g + 13", "g + 32"], ["g", "e + 3", "e + 35"], ["e", "s + 7", "s + 42"], ["s", "t + 5", "t + 47"], ["t", "a + 5", "a + 52"], ["a", 17, "69"]], "target_var_name": "y", "target_value": 69, "value_dict": {"a": 17}, "is_reverse": true}} | 8,725 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = b + 19; e = s + 7; p = a + 1; i = p + 15; a = 17; l = o + 7; b = g + 13; t = a + 5; g = e + 3; o = x + 19; h = i + 7; x = h + 10; s = t + 5. If a = 17, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = g + 13 to y, which gives y = g + 32.\n2. Substitute g = e + 3 to y, which gives y = e + 35.\n3. Substitute e = s + 7 to y, which gives y = s + 42.\n4. Substitute s = t + 5 to y, which gives y = t + 47.\n5. Substitute t = a + 5 to y, which gives y = a + 52.\n6. Substitute a = 17 to y, which gives y = 69.\n\nThus, the final answer is y = \\boxed{69}.",
"index": 8725,
"question": "Consider a system of variables where each variable is defined as follows: y = b + 19; e = s + 7; p = a + 1; i = p + 15; a = 17; l = o + 7; b = g + 13; t = a + 5; g = e + 3; o = x + 19; h = i + 7; x = h + 10; s = t + 5. If a = 17, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"f": "s + 18", "v": "f + 16", "b": "v + 6", "w": "b + 11", "i": "w + 9", "l": "i + 11", "u": "s + 8", "y": "u + 16", "g": "y + 3", "d": "g + 11", "k": "d + 15", "o": "k + 9", "s": 10}, "premises": {"s": 10}, "target": "l"}, "answer": {"steps": [["i", "w + 9", "w + 20"], ["w", "b + 11", "b + 31"], ["b", "v + 6", "v + 37"], ["v", "f + 16", "f + 53"], ["f", "s + 18", "s + 71"], ["s", 10, "81"]], "target_var_name": "l", "target_value": 81, "value_dict": {"s": 10}, "is_reverse": true}} | 8,726 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = i + 11; k = d + 15; i = w + 9; s = 10; o = k + 9; f = s + 18; b = v + 6; g = y + 3; y = u + 16; d = g + 11; w = b + 11; u = s + 8; v = f + 16. Given that s = 10, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = w + 9 to l, which gives l = w + 20.\n2. Substitute w = b + 11 to l, which gives l = b + 31.\n3. Substitute b = v + 6 to l, which gives l = v + 37.\n4. Substitute v = f + 16 to l, which gives l = f + 53.\n5. Substitute f = s + 18 to l, which gives l = s + 71.\n6. Substitute s = 10 to l, which gives l = 81.\n\nThus, the final answer is l = \\boxed{81}.",
"index": 8726,
"question": "Suppose a collection of variables is related by the following definitions: l = i + 11; k = d + 15; i = w + 9; s = 10; o = k + 9; f = s + 18; b = v + 6; g = y + 3; y = u + 16; d = g + 11; w = b + 11; u = s + 8; v = f + 16. Given that s = 10, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"n": "j + 9", "d": "n + 20", "s": "d + 9", "b": "s + 15", "m": "b + 4", "y": "m + 1", "e": "j + 2", "c": "e + 17", "q": "c + 14", "z": "q + 15", "x": "z + 14", "v": "x + 17", "j": 3}, "premises": {"j": 3}, "target": "y"}, "answer": {"steps": [["m", "b + 4", "b + 5"], ["b", "s + 15", "s + 20"], ["s", "d + 9", "d + 29"], ["d", "n + 20", "n + 49"], ["n", "j + 9", "j + 58"], ["j", 3, "61"]], "target_var_name": "y", "target_value": 61, "value_dict": {"j": 3}, "is_reverse": true}} | 8,727 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = c + 14; x = z + 14; m = b + 4; v = x + 17; d = n + 20; b = s + 15; n = j + 9; c = e + 17; s = d + 9; z = q + 15; y = m + 1; j = 3; e = j + 2. If j = 3, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = b + 4 to y, which gives y = b + 5.\n2. Substitute b = s + 15 to y, which gives y = s + 20.\n3. Substitute s = d + 9 to y, which gives y = d + 29.\n4. Substitute d = n + 20 to y, which gives y = n + 49.\n5. Substitute n = j + 9 to y, which gives y = j + 58.\n6. Substitute j = 3 to y, which gives y = 61.\n\nThus, the final answer is y = \\boxed{61}.",
"index": 8727,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = c + 14; x = z + 14; m = b + 4; v = x + 17; d = n + 20; b = s + 15; n = j + 9; c = e + 17; s = d + 9; z = q + 15; y = m + 1; j = 3; e = j + 2. If j = 3, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"w": "h + 7", "l": "w + 7", "j": "l + 11", "s": "j + 17", "k": "s + 13", "a": "k + 7", "x": "h + 9", "b": "x + 7", "m": "b + 15", "q": "m + 18", "r": "q + 4", "n": "r + 15", "h": 19}, "premises": {"h": 19}, "target": "a"}, "answer": {"steps": [["k", "s + 13", "s + 20"], ["s", "j + 17", "j + 37"], ["j", "l + 11", "l + 48"], ["l", "w + 7", "w + 55"], ["w", "h + 7", "h + 62"], ["h", 19, "81"]], "target_var_name": "a", "target_value": 81, "value_dict": {"h": 19}, "is_reverse": true}} | 8,728 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = w + 7; x = h + 9; b = x + 7; s = j + 17; j = l + 11; r = q + 4; k = s + 13; a = k + 7; q = m + 18; m = b + 15; n = r + 15; w = h + 7; h = 19. If h = 19, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = s + 13 to a, which gives a = s + 20.\n2. Substitute s = j + 17 to a, which gives a = j + 37.\n3. Substitute j = l + 11 to a, which gives a = l + 48.\n4. Substitute l = w + 7 to a, which gives a = w + 55.\n5. Substitute w = h + 7 to a, which gives a = h + 62.\n6. Substitute h = 19 to a, which gives a = 81.\n\nThus, the final answer is a = \\boxed{81}.",
"index": 8728,
"question": "Consider a system of variables where each variable is defined as follows: l = w + 7; x = h + 9; b = x + 7; s = j + 17; j = l + 11; r = q + 4; k = s + 13; a = k + 7; q = m + 18; m = b + 15; n = r + 15; w = h + 7; h = 19. If h = 19, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"x": "d + 12", "e": "x + 16", "y": "e + 13", "t": "y + 20", "i": "t + 2", "p": "i + 14", "f": "d + 8", "v": "f + 9", "c": "v + 5", "n": "c + 16", "k": "n + 15", "r": "k + 17", "d": 17}, "premises": {"d": 17}, "target": "p"}, "answer": {"steps": [["i", "t + 2", "t + 16"], ["t", "y + 20", "y + 36"], ["y", "e + 13", "e + 49"], ["e", "x + 16", "x + 65"], ["x", "d + 12", "d + 77"], ["d", 17, "94"]], "target_var_name": "p", "target_value": 94, "value_dict": {"d": 17}, "is_reverse": true}} | 8,729 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = e + 13; p = i + 14; e = x + 16; t = y + 20; k = n + 15; c = v + 5; d = 17; v = f + 9; f = d + 8; r = k + 17; x = d + 12; i = t + 2; n = c + 16. If d = 17, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = t + 2 to p, which gives p = t + 16.\n2. Substitute t = y + 20 to p, which gives p = y + 36.\n3. Substitute y = e + 13 to p, which gives p = e + 49.\n4. Substitute e = x + 16 to p, which gives p = x + 65.\n5. Substitute x = d + 12 to p, which gives p = d + 77.\n6. Substitute d = 17 to p, which gives p = 94.\n\nThus, the final answer is p = \\boxed{94}.",
"index": 8729,
"question": "Consider a system of variables where each variable is defined as follows: y = e + 13; p = i + 14; e = x + 16; t = y + 20; k = n + 15; c = v + 5; d = 17; v = f + 9; f = d + 8; r = k + 17; x = d + 12; i = t + 2; n = c + 16. If d = 17, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"r": "j + 1", "t": "r + 18", "s": "t + 20", "y": "s + 15", "e": "y + 19", "k": "e + 13", "w": "j + 2", "f": "w + 4", "b": "f + 9", "z": "b + 11", "n": "z + 11", "q": "n + 12", "j": 8}, "premises": {"j": 8}, "target": "k"}, "answer": {"steps": [["e", "y + 19", "y + 32"], ["y", "s + 15", "s + 47"], ["s", "t + 20", "t + 67"], ["t", "r + 18", "r + 85"], ["r", "j + 1", "j + 86"], ["j", 8, "94"]], "target_var_name": "k", "target_value": 94, "value_dict": {"j": 8}, "is_reverse": true}} | 8,730 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = f + 9; n = z + 11; j = 8; t = r + 18; w = j + 2; k = e + 13; f = w + 4; q = n + 12; e = y + 19; r = j + 1; y = s + 15; s = t + 20; z = b + 11. If j = 8, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = y + 19 to k, which gives k = y + 32.\n2. Substitute y = s + 15 to k, which gives k = s + 47.\n3. Substitute s = t + 20 to k, which gives k = t + 67.\n4. Substitute t = r + 18 to k, which gives k = r + 85.\n5. Substitute r = j + 1 to k, which gives k = j + 86.\n6. Substitute j = 8 to k, which gives k = 94.\n\nThus, the final answer is k = \\boxed{94}.",
"index": 8730,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = f + 9; n = z + 11; j = 8; t = r + 18; w = j + 2; k = e + 13; f = w + 4; q = n + 12; e = y + 19; r = j + 1; y = s + 15; s = t + 20; z = b + 11. If j = 8, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"e": "w + 14", "p": "e + 10", "y": "p + 14", "s": "y + 19", "u": "s + 9", "d": "u + 14", "g": "w + 1", "z": "g + 9", "o": "z + 1", "k": "o + 17", "v": "k + 12", "h": "v + 5", "w": 4}, "premises": {"w": 4}, "target": "d"}, "answer": {"steps": [["u", "s + 9", "s + 23"], ["s", "y + 19", "y + 42"], ["y", "p + 14", "p + 56"], ["p", "e + 10", "e + 66"], ["e", "w + 14", "w + 80"], ["w", 4, "84"]], "target_var_name": "d", "target_value": 84, "value_dict": {"w": 4}, "is_reverse": true}} | 8,731 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = z + 1; e = w + 14; g = w + 1; h = v + 5; p = e + 10; k = o + 17; w = 4; s = y + 19; d = u + 14; z = g + 9; u = s + 9; y = p + 14; v = k + 12. If w = 4, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = s + 9 to d, which gives d = s + 23.\n2. Substitute s = y + 19 to d, which gives d = y + 42.\n3. Substitute y = p + 14 to d, which gives d = p + 56.\n4. Substitute p = e + 10 to d, which gives d = e + 66.\n5. Substitute e = w + 14 to d, which gives d = w + 80.\n6. Substitute w = 4 to d, which gives d = 84.\n\nThus, the final answer is d = \\boxed{84}.",
"index": 8731,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = z + 1; e = w + 14; g = w + 1; h = v + 5; p = e + 10; k = o + 17; w = 4; s = y + 19; d = u + 14; z = g + 9; u = s + 9; y = p + 14; v = k + 12. If w = 4, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"o": "p + 7", "g": "o + 5", "t": "g + 8", "f": "t + 8", "d": "f + 12", "m": "d + 6", "a": "p + 5", "y": "a + 3", "q": "y + 18", "b": "q + 15", "z": "b + 12", "e": "z + 15", "p": 17}, "premises": {"p": 17}, "target": "m"}, "answer": {"steps": [["d", "f + 12", "f + 18"], ["f", "t + 8", "t + 26"], ["t", "g + 8", "g + 34"], ["g", "o + 5", "o + 39"], ["o", "p + 7", "p + 46"], ["p", 17, "63"]], "target_var_name": "m", "target_value": 63, "value_dict": {"p": 17}, "is_reverse": true}} | 8,732 | 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 = q + 15; p = 17; q = y + 18; y = a + 3; e = z + 15; g = o + 5; a = p + 5; t = g + 8; o = p + 7; z = b + 12; f = t + 8; m = d + 6; d = f + 12. If p = 17, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = f + 12 to m, which gives m = f + 18.\n2. Substitute f = t + 8 to m, which gives m = t + 26.\n3. Substitute t = g + 8 to m, which gives m = g + 34.\n4. Substitute g = o + 5 to m, which gives m = o + 39.\n5. Substitute o = p + 7 to m, which gives m = p + 46.\n6. Substitute p = 17 to m, which gives m = 63.\n\nThus, the final answer is m = \\boxed{63}.",
"index": 8732,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = q + 15; p = 17; q = y + 18; y = a + 3; e = z + 15; g = o + 5; a = p + 5; t = g + 8; o = p + 7; z = b + 12; f = t + 8; m = d + 6; d = f + 12. If p = 17, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"v": "f + 19", "l": "v + 11", "m": "l + 10", "e": "m + 12", "s": "e + 15", "j": "s + 2", "g": "f + 13", "y": "g + 10", "k": "y + 17", "t": "k + 20", "c": "t + 12", "w": "c + 19", "f": 4}, "premises": {"f": 4}, "target": "j"}, "answer": {"steps": [["s", "e + 15", "e + 17"], ["e", "m + 12", "m + 29"], ["m", "l + 10", "l + 39"], ["l", "v + 11", "v + 50"], ["v", "f + 19", "f + 69"], ["f", 4, "73"]], "target_var_name": "j", "target_value": 73, "value_dict": {"f": 4}, "is_reverse": true}} | 8,733 | 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 = g + 10; l = v + 11; v = f + 19; k = y + 17; e = m + 12; s = e + 15; t = k + 20; j = s + 2; g = f + 13; m = l + 10; w = c + 19; c = t + 12; f = 4. If f = 4, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = e + 15 to j, which gives j = e + 17.\n2. Substitute e = m + 12 to j, which gives j = m + 29.\n3. Substitute m = l + 10 to j, which gives j = l + 39.\n4. Substitute l = v + 11 to j, which gives j = v + 50.\n5. Substitute v = f + 19 to j, which gives j = f + 69.\n6. Substitute f = 4 to j, which gives j = 73.\n\nThus, the final answer is j = \\boxed{73}.",
"index": 8733,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = g + 10; l = v + 11; v = f + 19; k = y + 17; e = m + 12; s = e + 15; t = k + 20; j = s + 2; g = f + 13; m = l + 10; w = c + 19; c = t + 12; f = 4. If f = 4, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"i": "d + 18", "p": "i + 4", "h": "p + 9", "c": "h + 20", "w": "c + 20", "z": "w + 14", "u": "d + 8", "y": "u + 17", "m": "y + 8", "t": "m + 14", "k": "t + 20", "e": "k + 7", "d": 13}, "premises": {"d": 13}, "target": "z"}, "answer": {"steps": [["w", "c + 20", "c + 34"], ["c", "h + 20", "h + 54"], ["h", "p + 9", "p + 63"], ["p", "i + 4", "i + 67"], ["i", "d + 18", "d + 85"], ["d", 13, "98"]], "target_var_name": "z", "target_value": 98, "value_dict": {"d": 13}, "is_reverse": true}} | 8,734 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = y + 8; u = d + 8; t = m + 14; y = u + 17; d = 13; i = d + 18; z = w + 14; p = i + 4; e = k + 7; k = t + 20; c = h + 20; w = c + 20; h = p + 9. Given that d = 13, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = c + 20 to z, which gives z = c + 34.\n2. Substitute c = h + 20 to z, which gives z = h + 54.\n3. Substitute h = p + 9 to z, which gives z = p + 63.\n4. Substitute p = i + 4 to z, which gives z = i + 67.\n5. Substitute i = d + 18 to z, which gives z = d + 85.\n6. Substitute d = 13 to z, which gives z = 98.\n\nThus, the final answer is z = \\boxed{98}.",
"index": 8734,
"question": "Suppose a collection of variables is related by the following definitions: m = y + 8; u = d + 8; t = m + 14; y = u + 17; d = 13; i = d + 18; z = w + 14; p = i + 4; e = k + 7; k = t + 20; c = h + 20; w = c + 20; h = p + 9. Given that d = 13, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"i": "m + 20", "h": "i + 13", "e": "h + 4", "v": "e + 15", "l": "v + 17", "g": "l + 5", "f": "m + 4", "t": "f + 9", "j": "t + 5", "b": "j + 19", "k": "b + 6", "r": "k + 7", "m": 4}, "premises": {"m": 4}, "target": "g"}, "answer": {"steps": [["l", "v + 17", "v + 22"], ["v", "e + 15", "e + 37"], ["e", "h + 4", "h + 41"], ["h", "i + 13", "i + 54"], ["i", "m + 20", "m + 74"], ["m", 4, "78"]], "target_var_name": "g", "target_value": 78, "value_dict": {"m": 4}, "is_reverse": true}} | 8,735 | 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 = 4; v = e + 15; j = t + 5; b = j + 19; h = i + 13; r = k + 7; e = h + 4; t = f + 9; f = m + 4; k = b + 6; l = v + 17; g = l + 5; i = m + 20. If m = 4, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = v + 17 to g, which gives g = v + 22.\n2. Substitute v = e + 15 to g, which gives g = e + 37.\n3. Substitute e = h + 4 to g, which gives g = h + 41.\n4. Substitute h = i + 13 to g, which gives g = i + 54.\n5. Substitute i = m + 20 to g, which gives g = m + 74.\n6. Substitute m = 4 to g, which gives g = 78.\n\nThus, the final answer is g = \\boxed{78}.",
"index": 8735,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = 4; v = e + 15; j = t + 5; b = j + 19; h = i + 13; r = k + 7; e = h + 4; t = f + 9; f = m + 4; k = b + 6; l = v + 17; g = l + 5; i = m + 20. If m = 4, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"o": "x + 4", "z": "o + 17", "w": "z + 13", "b": "w + 19", "g": "b + 16", "y": "g + 2", "h": "x + 6", "r": "h + 15", "a": "r + 8", "k": "a + 3", "d": "k + 7", "c": "d + 8", "x": 1}, "premises": {"x": 1}, "target": "y"}, "answer": {"steps": [["g", "b + 16", "b + 18"], ["b", "w + 19", "w + 37"], ["w", "z + 13", "z + 50"], ["z", "o + 17", "o + 67"], ["o", "x + 4", "x + 71"], ["x", 1, "72"]], "target_var_name": "y", "target_value": 72, "value_dict": {"x": 1}, "is_reverse": true}} | 8,736 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = 1; d = k + 7; o = x + 4; k = a + 3; h = x + 6; w = z + 13; g = b + 16; r = h + 15; a = r + 8; b = w + 19; z = o + 17; c = d + 8; y = g + 2. Given that x = 1, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = b + 16 to y, which gives y = b + 18.\n2. Substitute b = w + 19 to y, which gives y = w + 37.\n3. Substitute w = z + 13 to y, which gives y = z + 50.\n4. Substitute z = o + 17 to y, which gives y = o + 67.\n5. Substitute o = x + 4 to y, which gives y = x + 71.\n6. Substitute x = 1 to y, which gives y = 72.\n\nThus, the final answer is y = \\boxed{72}.",
"index": 8736,
"question": "Suppose a collection of variables is related by the following definitions: x = 1; d = k + 7; o = x + 4; k = a + 3; h = x + 6; w = z + 13; g = b + 16; r = h + 15; a = r + 8; b = w + 19; z = o + 17; c = d + 8; y = g + 2. Given that x = 1, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"g": "t + 20", "p": "g + 2", "u": "p + 4", "m": "u + 5", "q": "m + 7", "y": "q + 18", "l": "t + 8", "j": "l + 9", "n": "j + 7", "h": "n + 2", "o": "h + 19", "k": "o + 7", "t": 4}, "premises": {"t": 4}, "target": "y"}, "answer": {"steps": [["q", "m + 7", "m + 25"], ["m", "u + 5", "u + 30"], ["u", "p + 4", "p + 34"], ["p", "g + 2", "g + 36"], ["g", "t + 20", "t + 56"], ["t", 4, "60"]], "target_var_name": "y", "target_value": 60, "value_dict": {"t": 4}, "is_reverse": true}} | 8,737 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = h + 19; n = j + 7; k = o + 7; u = p + 4; j = l + 9; m = u + 5; l = t + 8; g = t + 20; p = g + 2; y = q + 18; t = 4; h = n + 2; q = m + 7. If t = 4, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = m + 7 to y, which gives y = m + 25.\n2. Substitute m = u + 5 to y, which gives y = u + 30.\n3. Substitute u = p + 4 to y, which gives y = p + 34.\n4. Substitute p = g + 2 to y, which gives y = g + 36.\n5. Substitute g = t + 20 to y, which gives y = t + 56.\n6. Substitute t = 4 to y, which gives y = 60.\n\nThus, the final answer is y = \\boxed{60}.",
"index": 8737,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = h + 19; n = j + 7; k = o + 7; u = p + 4; j = l + 9; m = u + 5; l = t + 8; g = t + 20; p = g + 2; y = q + 18; t = 4; h = n + 2; q = m + 7. If t = 4, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"g": "e + 10", "a": "g + 13", "j": "a + 3", "l": "j + 15", "y": "l + 4", "k": "y + 20", "p": "e + 17", "i": "p + 8", "h": "i + 2", "v": "h + 14", "x": "v + 17", "s": "x + 9", "e": 4}, "premises": {"e": 4}, "target": "k"}, "answer": {"steps": [["y", "l + 4", "l + 24"], ["l", "j + 15", "j + 39"], ["j", "a + 3", "a + 42"], ["a", "g + 13", "g + 55"], ["g", "e + 10", "e + 65"], ["e", 4, "69"]], "target_var_name": "k", "target_value": 69, "value_dict": {"e": 4}, "is_reverse": true}} | 8,738 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = g + 13; k = y + 20; p = e + 17; e = 4; g = e + 10; h = i + 2; x = v + 17; s = x + 9; v = h + 14; j = a + 3; y = l + 4; i = p + 8; l = j + 15. If e = 4, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = l + 4 to k, which gives k = l + 24.\n2. Substitute l = j + 15 to k, which gives k = j + 39.\n3. Substitute j = a + 3 to k, which gives k = a + 42.\n4. Substitute a = g + 13 to k, which gives k = g + 55.\n5. Substitute g = e + 10 to k, which gives k = e + 65.\n6. Substitute e = 4 to k, which gives k = 69.\n\nThus, the final answer is k = \\boxed{69}.",
"index": 8738,
"question": "Consider a system of variables where each variable is defined as follows: a = g + 13; k = y + 20; p = e + 17; e = 4; g = e + 10; h = i + 2; x = v + 17; s = x + 9; v = h + 14; j = a + 3; y = l + 4; i = p + 8; l = j + 15. If e = 4, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"n": "d + 6", "x": "n + 3", "o": "x + 7", "w": "o + 19", "y": "w + 4", "e": "y + 7", "f": "d + 8", "k": "f + 18", "z": "k + 3", "a": "z + 13", "c": "a + 1", "v": "c + 18", "d": 14}, "premises": {"d": 14}, "target": "e"}, "answer": {"steps": [["y", "w + 4", "w + 11"], ["w", "o + 19", "o + 30"], ["o", "x + 7", "x + 37"], ["x", "n + 3", "n + 40"], ["n", "d + 6", "d + 46"], ["d", 14, "60"]], "target_var_name": "e", "target_value": 60, "value_dict": {"d": 14}, "is_reverse": true}} | 8,739 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = 14; z = k + 3; x = n + 3; o = x + 7; e = y + 7; a = z + 13; v = c + 18; y = w + 4; k = f + 18; n = d + 6; f = d + 8; c = a + 1; w = o + 19. If d = 14, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = w + 4 to e, which gives e = w + 11.\n2. Substitute w = o + 19 to e, which gives e = o + 30.\n3. Substitute o = x + 7 to e, which gives e = x + 37.\n4. Substitute x = n + 3 to e, which gives e = n + 40.\n5. Substitute n = d + 6 to e, which gives e = d + 46.\n6. Substitute d = 14 to e, which gives e = 60.\n\nThus, the final answer is e = \\boxed{60}.",
"index": 8739,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = 14; z = k + 3; x = n + 3; o = x + 7; e = y + 7; a = z + 13; v = c + 18; y = w + 4; k = f + 18; n = d + 6; f = d + 8; c = a + 1; w = o + 19. If d = 14, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"e": "s + 3", "x": "e + 8", "l": "x + 19", "t": "l + 7", "b": "t + 20", "o": "b + 11", "q": "s + 9", "i": "q + 5", "g": "i + 9", "p": "g + 19", "v": "p + 13", "m": "v + 15", "s": 18}, "premises": {"s": 18}, "target": "o"}, "answer": {"steps": [["b", "t + 20", "t + 31"], ["t", "l + 7", "l + 38"], ["l", "x + 19", "x + 57"], ["x", "e + 8", "e + 65"], ["e", "s + 3", "s + 68"], ["s", 18, "86"]], "target_var_name": "o", "target_value": 86, "value_dict": {"s": 18}, "is_reverse": true}} | 8,740 | 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 = s + 9; g = i + 9; b = t + 20; t = l + 7; v = p + 13; x = e + 8; m = v + 15; s = 18; i = q + 5; p = g + 19; e = s + 3; o = b + 11; l = x + 19. If s = 18, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = t + 20 to o, which gives o = t + 31.\n2. Substitute t = l + 7 to o, which gives o = l + 38.\n3. Substitute l = x + 19 to o, which gives o = x + 57.\n4. Substitute x = e + 8 to o, which gives o = e + 65.\n5. Substitute e = s + 3 to o, which gives o = s + 68.\n6. Substitute s = 18 to o, which gives o = 86.\n\nThus, the final answer is o = \\boxed{86}.",
"index": 8740,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = s + 9; g = i + 9; b = t + 20; t = l + 7; v = p + 13; x = e + 8; m = v + 15; s = 18; i = q + 5; p = g + 19; e = s + 3; o = b + 11; l = x + 19. If s = 18, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"d": "r + 5", "o": "d + 13", "a": "o + 1", "y": "a + 5", "e": "y + 11", "h": "e + 4", "q": "r + 2", "s": "q + 12", "k": "s + 6", "f": "k + 14", "b": "f + 9", "m": "b + 19", "r": 20}, "premises": {"r": 20}, "target": "h"}, "answer": {"steps": [["e", "y + 11", "y + 15"], ["y", "a + 5", "a + 20"], ["a", "o + 1", "o + 21"], ["o", "d + 13", "d + 34"], ["d", "r + 5", "r + 39"], ["r", 20, "59"]], "target_var_name": "h", "target_value": 59, "value_dict": {"r": 20}, "is_reverse": true}} | 8,741 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = y + 11; y = a + 5; r = 20; o = d + 13; s = q + 12; a = o + 1; d = r + 5; q = r + 2; b = f + 9; f = k + 14; k = s + 6; h = e + 4; m = b + 19. If r = 20, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = y + 11 to h, which gives h = y + 15.\n2. Substitute y = a + 5 to h, which gives h = a + 20.\n3. Substitute a = o + 1 to h, which gives h = o + 21.\n4. Substitute o = d + 13 to h, which gives h = d + 34.\n5. Substitute d = r + 5 to h, which gives h = r + 39.\n6. Substitute r = 20 to h, which gives h = 59.\n\nThus, the final answer is h = \\boxed{59}.",
"index": 8741,
"question": "Consider a system of variables where each variable is defined as follows: e = y + 11; y = a + 5; r = 20; o = d + 13; s = q + 12; a = o + 1; d = r + 5; q = r + 2; b = f + 9; f = k + 14; k = s + 6; h = e + 4; m = b + 19. If r = 20, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"i": "y + 2", "m": "i + 15", "q": "m + 1", "r": "q + 20", "d": "r + 4", "k": "d + 10", "l": "y + 11", "g": "l + 4", "u": "g + 6", "e": "u + 11", "z": "e + 13", "o": "z + 1", "y": 9}, "premises": {"y": 9}, "target": "k"}, "answer": {"steps": [["d", "r + 4", "r + 14"], ["r", "q + 20", "q + 34"], ["q", "m + 1", "m + 35"], ["m", "i + 15", "i + 50"], ["i", "y + 2", "y + 52"], ["y", 9, "61"]], "target_var_name": "k", "target_value": 61, "value_dict": {"y": 9}, "is_reverse": true}} | 8,742 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = q + 20; e = u + 11; m = i + 15; u = g + 6; z = e + 13; o = z + 1; d = r + 4; i = y + 2; l = y + 11; g = l + 4; k = d + 10; q = m + 1; y = 9. If y = 9, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = r + 4 to k, which gives k = r + 14.\n2. Substitute r = q + 20 to k, which gives k = q + 34.\n3. Substitute q = m + 1 to k, which gives k = m + 35.\n4. Substitute m = i + 15 to k, which gives k = i + 50.\n5. Substitute i = y + 2 to k, which gives k = y + 52.\n6. Substitute y = 9 to k, which gives k = 61.\n\nThus, the final answer is k = \\boxed{61}.",
"index": 8742,
"question": "Consider a system of variables where each variable is defined as follows: r = q + 20; e = u + 11; m = i + 15; u = g + 6; z = e + 13; o = z + 1; d = r + 4; i = y + 2; l = y + 11; g = l + 4; k = d + 10; q = m + 1; y = 9. If y = 9, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"v": "p + 16", "i": "v + 4", "k": "i + 13", "f": "k + 14", "b": "f + 4", "r": "b + 15", "s": "p + 2", "y": "s + 16", "u": "y + 20", "w": "u + 17", "e": "w + 17", "d": "e + 5", "p": 12}, "premises": {"p": 12}, "target": "r"}, "answer": {"steps": [["b", "f + 4", "f + 19"], ["f", "k + 14", "k + 33"], ["k", "i + 13", "i + 46"], ["i", "v + 4", "v + 50"], ["v", "p + 16", "p + 66"], ["p", 12, "78"]], "target_var_name": "r", "target_value": 78, "value_dict": {"p": 12}, "is_reverse": true}} | 8,743 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = e + 5; u = y + 20; s = p + 2; k = i + 13; y = s + 16; r = b + 15; f = k + 14; w = u + 17; i = v + 4; b = f + 4; e = w + 17; v = p + 16; p = 12. Given that p = 12, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = f + 4 to r, which gives r = f + 19.\n2. Substitute f = k + 14 to r, which gives r = k + 33.\n3. Substitute k = i + 13 to r, which gives r = i + 46.\n4. Substitute i = v + 4 to r, which gives r = v + 50.\n5. Substitute v = p + 16 to r, which gives r = p + 66.\n6. Substitute p = 12 to r, which gives r = 78.\n\nThus, the final answer is r = \\boxed{78}.",
"index": 8743,
"question": "Suppose a collection of variables is related by the following definitions: d = e + 5; u = y + 20; s = p + 2; k = i + 13; y = s + 16; r = b + 15; f = k + 14; w = u + 17; i = v + 4; b = f + 4; e = w + 17; v = p + 16; p = 12. Given that p = 12, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"q": "d + 13", "m": "q + 3", "l": "m + 8", "b": "l + 13", "z": "b + 13", "a": "z + 10", "n": "d + 17", "r": "n + 19", "f": "r + 10", "w": "f + 1", "e": "w + 5", "g": "e + 12", "d": 9}, "premises": {"d": 9}, "target": "a"}, "answer": {"steps": [["z", "b + 13", "b + 23"], ["b", "l + 13", "l + 36"], ["l", "m + 8", "m + 44"], ["m", "q + 3", "q + 47"], ["q", "d + 13", "d + 60"], ["d", 9, "69"]], "target_var_name": "a", "target_value": 69, "value_dict": {"d": 9}, "is_reverse": true}} | 8,744 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = 9; b = l + 13; e = w + 5; q = d + 13; a = z + 10; r = n + 19; g = e + 12; n = d + 17; w = f + 1; f = r + 10; l = m + 8; m = q + 3; z = b + 13. If d = 9, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = b + 13 to a, which gives a = b + 23.\n2. Substitute b = l + 13 to a, which gives a = l + 36.\n3. Substitute l = m + 8 to a, which gives a = m + 44.\n4. Substitute m = q + 3 to a, which gives a = q + 47.\n5. Substitute q = d + 13 to a, which gives a = d + 60.\n6. Substitute d = 9 to a, which gives a = 69.\n\nThus, the final answer is a = \\boxed{69}.",
"index": 8744,
"question": "Consider a system of variables where each variable is defined as follows: d = 9; b = l + 13; e = w + 5; q = d + 13; a = z + 10; r = n + 19; g = e + 12; n = d + 17; w = f + 1; f = r + 10; l = m + 8; m = q + 3; z = b + 13. If d = 9, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"v": "i + 14", "y": "v + 1", "m": "y + 8", "g": "m + 18", "p": "g + 19", "z": "p + 13", "e": "i + 9", "a": "e + 6", "l": "a + 17", "r": "l + 8", "w": "r + 3", "t": "w + 4", "i": 1}, "premises": {"i": 1}, "target": "z"}, "answer": {"steps": [["p", "g + 19", "g + 32"], ["g", "m + 18", "m + 50"], ["m", "y + 8", "y + 58"], ["y", "v + 1", "v + 59"], ["v", "i + 14", "i + 73"], ["i", 1, "74"]], "target_var_name": "z", "target_value": 74, "value_dict": {"i": 1}, "is_reverse": true}} | 8,745 | 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 = l + 8; l = a + 17; i = 1; y = v + 1; g = m + 18; z = p + 13; e = i + 9; v = i + 14; a = e + 6; t = w + 4; w = r + 3; p = g + 19; m = y + 8. If i = 1, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = g + 19 to z, which gives z = g + 32.\n2. Substitute g = m + 18 to z, which gives z = m + 50.\n3. Substitute m = y + 8 to z, which gives z = y + 58.\n4. Substitute y = v + 1 to z, which gives z = v + 59.\n5. Substitute v = i + 14 to z, which gives z = i + 73.\n6. Substitute i = 1 to z, which gives z = 74.\n\nThus, the final answer is z = \\boxed{74}.",
"index": 8745,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = l + 8; l = a + 17; i = 1; y = v + 1; g = m + 18; z = p + 13; e = i + 9; v = i + 14; a = e + 6; t = w + 4; w = r + 3; p = g + 19; m = y + 8. If i = 1, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"w": "q + 20", "p": "w + 14", "a": "p + 20", "o": "a + 12", "u": "o + 16", "v": "u + 3", "h": "q + 20", "k": "h + 17", "l": "k + 16", "z": "l + 1", "y": "z + 2", "f": "y + 20", "q": 20}, "premises": {"q": 20}, "target": "v"}, "answer": {"steps": [["u", "o + 16", "o + 19"], ["o", "a + 12", "a + 31"], ["a", "p + 20", "p + 51"], ["p", "w + 14", "w + 65"], ["w", "q + 20", "q + 85"], ["q", 20, "105"]], "target_var_name": "v", "target_value": 105, "value_dict": {"q": 20}, "is_reverse": true}} | 8,746 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = y + 20; u = o + 16; h = q + 20; l = k + 16; a = p + 20; y = z + 2; q = 20; p = w + 14; v = u + 3; w = q + 20; z = l + 1; o = a + 12; k = h + 17. If q = 20, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 105,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = o + 16 to v, which gives v = o + 19.\n2. Substitute o = a + 12 to v, which gives v = a + 31.\n3. Substitute a = p + 20 to v, which gives v = p + 51.\n4. Substitute p = w + 14 to v, which gives v = w + 65.\n5. Substitute w = q + 20 to v, which gives v = q + 85.\n6. Substitute q = 20 to v, which gives v = 105.\n\nThus, the final answer is v = \\boxed{105}.",
"index": 8746,
"question": "Consider a system of variables where each variable is defined as follows: f = y + 20; u = o + 16; h = q + 20; l = k + 16; a = p + 20; y = z + 2; q = 20; p = w + 14; v = u + 3; w = q + 20; z = l + 1; o = a + 12; k = h + 17. If q = 20, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"e": "g + 18", "c": "e + 2", "m": "c + 12", "l": "m + 16", "t": "l + 19", "u": "t + 2", "x": "g + 1", "j": "x + 9", "v": "j + 20", "k": "v + 6", "a": "k + 5", "o": "a + 16", "g": 14}, "premises": {"g": 14}, "target": "u"}, "answer": {"steps": [["t", "l + 19", "l + 21"], ["l", "m + 16", "m + 37"], ["m", "c + 12", "c + 49"], ["c", "e + 2", "e + 51"], ["e", "g + 18", "g + 69"], ["g", 14, "83"]], "target_var_name": "u", "target_value": 83, "value_dict": {"g": 14}, "is_reverse": true}} | 8,747 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = l + 19; u = t + 2; a = k + 5; k = v + 6; o = a + 16; j = x + 9; m = c + 12; c = e + 2; v = j + 20; l = m + 16; x = g + 1; g = 14; e = g + 18. Given that g = 14, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = l + 19 to u, which gives u = l + 21.\n2. Substitute l = m + 16 to u, which gives u = m + 37.\n3. Substitute m = c + 12 to u, which gives u = c + 49.\n4. Substitute c = e + 2 to u, which gives u = e + 51.\n5. Substitute e = g + 18 to u, which gives u = g + 69.\n6. Substitute g = 14 to u, which gives u = 83.\n\nThus, the final answer is u = \\boxed{83}.",
"index": 8747,
"question": "Suppose a collection of variables is related by the following definitions: t = l + 19; u = t + 2; a = k + 5; k = v + 6; o = a + 16; j = x + 9; m = c + 12; c = e + 2; v = j + 20; l = m + 16; x = g + 1; g = 14; e = g + 18. Given that g = 14, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"e": "h + 12", "p": "e + 20", "y": "p + 10", "u": "y + 12", "t": "u + 16", "w": "t + 6", "k": "h + 13", "g": "k + 7", "a": "g + 1", "f": "a + 8", "c": "f + 8", "i": "c + 6", "h": 7}, "premises": {"h": 7}, "target": "w"}, "answer": {"steps": [["t", "u + 16", "u + 22"], ["u", "y + 12", "y + 34"], ["y", "p + 10", "p + 44"], ["p", "e + 20", "e + 64"], ["e", "h + 12", "h + 76"], ["h", 7, "83"]], "target_var_name": "w", "target_value": 83, "value_dict": {"h": 7}, "is_reverse": true}} | 8,748 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = p + 10; g = k + 7; e = h + 12; k = h + 13; f = a + 8; a = g + 1; p = e + 20; t = u + 16; h = 7; i = c + 6; u = y + 12; w = t + 6; c = f + 8. If h = 7, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = u + 16 to w, which gives w = u + 22.\n2. Substitute u = y + 12 to w, which gives w = y + 34.\n3. Substitute y = p + 10 to w, which gives w = p + 44.\n4. Substitute p = e + 20 to w, which gives w = e + 64.\n5. Substitute e = h + 12 to w, which gives w = h + 76.\n6. Substitute h = 7 to w, which gives w = 83.\n\nThus, the final answer is w = \\boxed{83}.",
"index": 8748,
"question": "Consider a system of variables where each variable is defined as follows: y = p + 10; g = k + 7; e = h + 12; k = h + 13; f = a + 8; a = g + 1; p = e + 20; t = u + 16; h = 7; i = c + 6; u = y + 12; w = t + 6; c = f + 8. If h = 7, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"a": "n + 4", "y": "a + 17", "q": "y + 20", "w": "q + 11", "c": "w + 7", "d": "c + 18", "v": "n + 10", "p": "v + 8", "z": "p + 20", "i": "z + 16", "t": "i + 5", "u": "t + 8", "n": 20}, "premises": {"n": 20}, "target": "d"}, "answer": {"steps": [["c", "w + 7", "w + 25"], ["w", "q + 11", "q + 36"], ["q", "y + 20", "y + 56"], ["y", "a + 17", "a + 73"], ["a", "n + 4", "n + 77"], ["n", 20, "97"]], "target_var_name": "d", "target_value": 97, "value_dict": {"n": 20}, "is_reverse": true}} | 8,749 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = c + 18; p = v + 8; v = n + 10; i = z + 16; c = w + 7; t = i + 5; w = q + 11; a = n + 4; z = p + 20; q = y + 20; y = a + 17; u = t + 8; n = 20. Given that n = 20, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = w + 7 to d, which gives d = w + 25.\n2. Substitute w = q + 11 to d, which gives d = q + 36.\n3. Substitute q = y + 20 to d, which gives d = y + 56.\n4. Substitute y = a + 17 to d, which gives d = a + 73.\n5. Substitute a = n + 4 to d, which gives d = n + 77.\n6. Substitute n = 20 to d, which gives d = 97.\n\nThus, the final answer is d = \\boxed{97}.",
"index": 8749,
"question": "Suppose a collection of variables is related by the following definitions: d = c + 18; p = v + 8; v = n + 10; i = z + 16; c = w + 7; t = i + 5; w = q + 11; a = n + 4; z = p + 20; q = y + 20; y = a + 17; u = t + 8; n = 20. Given that n = 20, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"b": "j + 12", "p": "b + 17", "n": "p + 8", "y": "n + 8", "u": "y + 1", "m": "u + 16", "w": "j + 8", "h": "w + 4", "i": "h + 4", "q": "i + 2", "a": "q + 4", "r": "a + 13", "j": 20}, "premises": {"j": 20}, "target": "m"}, "answer": {"steps": [["u", "y + 1", "y + 17"], ["y", "n + 8", "n + 25"], ["n", "p + 8", "p + 33"], ["p", "b + 17", "b + 50"], ["b", "j + 12", "j + 62"], ["j", 20, "82"]], "target_var_name": "m", "target_value": 82, "value_dict": {"j": 20}, "is_reverse": true}} | 8,750 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = h + 4; j = 20; a = q + 4; m = u + 16; y = n + 8; u = y + 1; n = p + 8; w = j + 8; h = w + 4; r = a + 13; q = i + 2; b = j + 12; p = b + 17. If j = 20, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = y + 1 to m, which gives m = y + 17.\n2. Substitute y = n + 8 to m, which gives m = n + 25.\n3. Substitute n = p + 8 to m, which gives m = p + 33.\n4. Substitute p = b + 17 to m, which gives m = b + 50.\n5. Substitute b = j + 12 to m, which gives m = j + 62.\n6. Substitute j = 20 to m, which gives m = 82.\n\nThus, the final answer is m = \\boxed{82}.",
"index": 8750,
"question": "Consider a system of variables where each variable is defined as follows: i = h + 4; j = 20; a = q + 4; m = u + 16; y = n + 8; u = y + 1; n = p + 8; w = j + 8; h = w + 4; r = a + 13; q = i + 2; b = j + 12; p = b + 17. If j = 20, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"b": "k + 20", "j": "b + 6", "e": "j + 15", "u": "e + 2", "d": "u + 2", "w": "d + 13", "z": "k + 7", "a": "z + 5", "t": "a + 13", "x": "t + 10", "l": "x + 8", "g": "l + 7", "k": 2}, "premises": {"k": 2}, "target": "w"}, "answer": {"steps": [["d", "u + 2", "u + 15"], ["u", "e + 2", "e + 17"], ["e", "j + 15", "j + 32"], ["j", "b + 6", "b + 38"], ["b", "k + 20", "k + 58"], ["k", 2, "60"]], "target_var_name": "w", "target_value": 60, "value_dict": {"k": 2}, "is_reverse": true}} | 8,751 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = u + 2; e = j + 15; x = t + 10; b = k + 20; l = x + 8; j = b + 6; a = z + 5; z = k + 7; k = 2; w = d + 13; g = l + 7; u = e + 2; t = a + 13. Given that k = 2, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = u + 2 to w, which gives w = u + 15.\n2. Substitute u = e + 2 to w, which gives w = e + 17.\n3. Substitute e = j + 15 to w, which gives w = j + 32.\n4. Substitute j = b + 6 to w, which gives w = b + 38.\n5. Substitute b = k + 20 to w, which gives w = k + 58.\n6. Substitute k = 2 to w, which gives w = 60.\n\nThus, the final answer is w = \\boxed{60}.",
"index": 8751,
"question": "Suppose a collection of variables is related by the following definitions: d = u + 2; e = j + 15; x = t + 10; b = k + 20; l = x + 8; j = b + 6; a = z + 5; z = k + 7; k = 2; w = d + 13; g = l + 7; u = e + 2; t = a + 13. Given that k = 2, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"l": "g + 1", "p": "l + 9", "k": "p + 4", "w": "k + 7", "j": "w + 13", "v": "j + 20", "m": "g + 8", "t": "m + 18", "e": "t + 18", "i": "e + 15", "o": "i + 10", "a": "o + 18", "g": 14}, "premises": {"g": 14}, "target": "v"}, "answer": {"steps": [["j", "w + 13", "w + 33"], ["w", "k + 7", "k + 40"], ["k", "p + 4", "p + 44"], ["p", "l + 9", "l + 53"], ["l", "g + 1", "g + 54"], ["g", 14, "68"]], "target_var_name": "v", "target_value": 68, "value_dict": {"g": 14}, "is_reverse": true}} | 8,752 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = k + 7; e = t + 18; a = o + 18; m = g + 8; t = m + 18; g = 14; j = w + 13; k = p + 4; p = l + 9; i = e + 15; o = i + 10; v = j + 20; l = g + 1. If g = 14, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = w + 13 to v, which gives v = w + 33.\n2. Substitute w = k + 7 to v, which gives v = k + 40.\n3. Substitute k = p + 4 to v, which gives v = p + 44.\n4. Substitute p = l + 9 to v, which gives v = l + 53.\n5. Substitute l = g + 1 to v, which gives v = g + 54.\n6. Substitute g = 14 to v, which gives v = 68.\n\nThus, the final answer is v = \\boxed{68}.",
"index": 8752,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = k + 7; e = t + 18; a = o + 18; m = g + 8; t = m + 18; g = 14; j = w + 13; k = p + 4; p = l + 9; i = e + 15; o = i + 10; v = j + 20; l = g + 1. If g = 14, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"l": "p + 16", "a": "l + 3", "w": "a + 15", "b": "w + 2", "q": "b + 7", "k": "q + 9", "s": "p + 1", "h": "s + 2", "d": "h + 17", "n": "d + 6", "x": "n + 16", "m": "x + 3", "p": 18}, "premises": {"p": 18}, "target": "k"}, "answer": {"steps": [["q", "b + 7", "b + 16"], ["b", "w + 2", "w + 18"], ["w", "a + 15", "a + 33"], ["a", "l + 3", "l + 36"], ["l", "p + 16", "p + 52"], ["p", 18, "70"]], "target_var_name": "k", "target_value": 70, "value_dict": {"p": 18}, "is_reverse": true}} | 8,753 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = b + 7; w = a + 15; p = 18; n = d + 6; l = p + 16; s = p + 1; k = q + 9; h = s + 2; d = h + 17; b = w + 2; x = n + 16; a = l + 3; m = x + 3. If p = 18, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = b + 7 to k, which gives k = b + 16.\n2. Substitute b = w + 2 to k, which gives k = w + 18.\n3. Substitute w = a + 15 to k, which gives k = a + 33.\n4. Substitute a = l + 3 to k, which gives k = l + 36.\n5. Substitute l = p + 16 to k, which gives k = p + 52.\n6. Substitute p = 18 to k, which gives k = 70.\n\nThus, the final answer is k = \\boxed{70}.",
"index": 8753,
"question": "Consider a system of variables where each variable is defined as follows: q = b + 7; w = a + 15; p = 18; n = d + 6; l = p + 16; s = p + 1; k = q + 9; h = s + 2; d = h + 17; b = w + 2; x = n + 16; a = l + 3; m = x + 3. If p = 18, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"q": "o + 14", "k": "q + 7", "p": "k + 9", "n": "p + 6", "s": "n + 8", "h": "s + 5", "y": "o + 11", "g": "y + 11", "e": "g + 8", "d": "e + 2", "z": "d + 13", "a": "z + 19", "o": 17}, "premises": {"o": 17}, "target": "h"}, "answer": {"steps": [["s", "n + 8", "n + 13"], ["n", "p + 6", "p + 19"], ["p", "k + 9", "k + 28"], ["k", "q + 7", "q + 35"], ["q", "o + 14", "o + 49"], ["o", 17, "66"]], "target_var_name": "h", "target_value": 66, "value_dict": {"o": 17}, "is_reverse": true}} | 8,754 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = k + 9; q = o + 14; n = p + 6; e = g + 8; z = d + 13; k = q + 7; a = z + 19; s = n + 8; d = e + 2; h = s + 5; g = y + 11; y = o + 11; o = 17. If o = 17, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = n + 8 to h, which gives h = n + 13.\n2. Substitute n = p + 6 to h, which gives h = p + 19.\n3. Substitute p = k + 9 to h, which gives h = k + 28.\n4. Substitute k = q + 7 to h, which gives h = q + 35.\n5. Substitute q = o + 14 to h, which gives h = o + 49.\n6. Substitute o = 17 to h, which gives h = 66.\n\nThus, the final answer is h = \\boxed{66}.",
"index": 8754,
"question": "Consider a system of variables where each variable is defined as follows: p = k + 9; q = o + 14; n = p + 6; e = g + 8; z = d + 13; k = q + 7; a = z + 19; s = n + 8; d = e + 2; h = s + 5; g = y + 11; y = o + 11; o = 17. If o = 17, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"j": "w + 4", "t": "j + 3", "u": "t + 6", "l": "u + 11", "x": "l + 7", "q": "x + 16", "y": "w + 20", "v": "y + 3", "n": "v + 19", "o": "n + 4", "e": "o + 7", "i": "e + 14", "w": 7}, "premises": {"w": 7}, "target": "q"}, "answer": {"steps": [["x", "l + 7", "l + 23"], ["l", "u + 11", "u + 34"], ["u", "t + 6", "t + 40"], ["t", "j + 3", "j + 43"], ["j", "w + 4", "w + 47"], ["w", 7, "54"]], "target_var_name": "q", "target_value": 54, "value_dict": {"w": 7}, "is_reverse": true}} | 8,755 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = w + 20; e = o + 7; w = 7; v = y + 3; j = w + 4; l = u + 11; q = x + 16; o = n + 4; x = l + 7; i = e + 14; n = v + 19; u = t + 6; t = j + 3. Given that w = 7, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = l + 7 to q, which gives q = l + 23.\n2. Substitute l = u + 11 to q, which gives q = u + 34.\n3. Substitute u = t + 6 to q, which gives q = t + 40.\n4. Substitute t = j + 3 to q, which gives q = j + 43.\n5. Substitute j = w + 4 to q, which gives q = w + 47.\n6. Substitute w = 7 to q, which gives q = 54.\n\nThus, the final answer is q = \\boxed{54}.",
"index": 8755,
"question": "Suppose a collection of variables is related by the following definitions: y = w + 20; e = o + 7; w = 7; v = y + 3; j = w + 4; l = u + 11; q = x + 16; o = n + 4; x = l + 7; i = e + 14; n = v + 19; u = t + 6; t = j + 3. Given that w = 7, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"q": "f + 16", "w": "q + 10", "i": "w + 2", "t": "i + 5", "p": "t + 18", "x": "p + 10", "n": "f + 20", "z": "n + 19", "m": "z + 1", "j": "m + 15", "l": "j + 5", "s": "l + 6", "f": 18}, "premises": {"f": 18}, "target": "x"}, "answer": {"steps": [["p", "t + 18", "t + 28"], ["t", "i + 5", "i + 33"], ["i", "w + 2", "w + 35"], ["w", "q + 10", "q + 45"], ["q", "f + 16", "f + 61"], ["f", 18, "79"]], "target_var_name": "x", "target_value": 79, "value_dict": {"f": 18}, "is_reverse": true}} | 8,756 | 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 = j + 5; f = 18; s = l + 6; w = q + 10; x = p + 10; z = n + 19; q = f + 16; n = f + 20; m = z + 1; t = i + 5; i = w + 2; p = t + 18; j = m + 15. If f = 18, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = t + 18 to x, which gives x = t + 28.\n2. Substitute t = i + 5 to x, which gives x = i + 33.\n3. Substitute i = w + 2 to x, which gives x = w + 35.\n4. Substitute w = q + 10 to x, which gives x = q + 45.\n5. Substitute q = f + 16 to x, which gives x = f + 61.\n6. Substitute f = 18 to x, which gives x = 79.\n\nThus, the final answer is x = \\boxed{79}.",
"index": 8756,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = j + 5; f = 18; s = l + 6; w = q + 10; x = p + 10; z = n + 19; q = f + 16; n = f + 20; m = z + 1; t = i + 5; i = w + 2; p = t + 18; j = m + 15. If f = 18, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"k": "c + 10", "u": "k + 20", "i": "u + 14", "z": "i + 11", "p": "z + 7", "h": "p + 16", "s": "c + 12", "x": "s + 12", "l": "x + 14", "t": "l + 13", "r": "t + 15", "y": "r + 17", "c": 7}, "premises": {"c": 7}, "target": "h"}, "answer": {"steps": [["p", "z + 7", "z + 23"], ["z", "i + 11", "i + 34"], ["i", "u + 14", "u + 48"], ["u", "k + 20", "k + 68"], ["k", "c + 10", "c + 78"], ["c", 7, "85"]], "target_var_name": "h", "target_value": 85, "value_dict": {"c": 7}, "is_reverse": true}} | 8,757 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = l + 13; x = s + 12; u = k + 20; p = z + 7; s = c + 12; l = x + 14; i = u + 14; y = r + 17; r = t + 15; k = c + 10; h = p + 16; c = 7; z = i + 11. Given that c = 7, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = z + 7 to h, which gives h = z + 23.\n2. Substitute z = i + 11 to h, which gives h = i + 34.\n3. Substitute i = u + 14 to h, which gives h = u + 48.\n4. Substitute u = k + 20 to h, which gives h = k + 68.\n5. Substitute k = c + 10 to h, which gives h = c + 78.\n6. Substitute c = 7 to h, which gives h = 85.\n\nThus, the final answer is h = \\boxed{85}.",
"index": 8757,
"question": "Suppose a collection of variables is related by the following definitions: t = l + 13; x = s + 12; u = k + 20; p = z + 7; s = c + 12; l = x + 14; i = u + 14; y = r + 17; r = t + 15; k = c + 10; h = p + 16; c = 7; z = i + 11. Given that c = 7, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"q": "k + 1", "w": "q + 16", "m": "w + 18", "s": "m + 15", "b": "s + 8", "z": "b + 12", "u": "k + 3", "v": "u + 9", "i": "v + 1", "t": "i + 12", "h": "t + 15", "f": "h + 8", "k": 20}, "premises": {"k": 20}, "target": "z"}, "answer": {"steps": [["b", "s + 8", "s + 20"], ["s", "m + 15", "m + 35"], ["m", "w + 18", "w + 53"], ["w", "q + 16", "q + 69"], ["q", "k + 1", "k + 70"], ["k", 20, "90"]], "target_var_name": "z", "target_value": 90, "value_dict": {"k": 20}, "is_reverse": true}} | 8,758 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = b + 12; k = 20; i = v + 1; u = k + 3; m = w + 18; h = t + 15; b = s + 8; w = q + 16; t = i + 12; v = u + 9; s = m + 15; f = h + 8; q = k + 1. Given that k = 20, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = s + 8 to z, which gives z = s + 20.\n2. Substitute s = m + 15 to z, which gives z = m + 35.\n3. Substitute m = w + 18 to z, which gives z = w + 53.\n4. Substitute w = q + 16 to z, which gives z = q + 69.\n5. Substitute q = k + 1 to z, which gives z = k + 70.\n6. Substitute k = 20 to z, which gives z = 90.\n\nThus, the final answer is z = \\boxed{90}.",
"index": 8758,
"question": "Suppose a collection of variables is related by the following definitions: z = b + 12; k = 20; i = v + 1; u = k + 3; m = w + 18; h = t + 15; b = s + 8; w = q + 16; t = i + 12; v = u + 9; s = m + 15; f = h + 8; q = k + 1. Given that k = 20, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"e": "t + 11", "y": "e + 18", "w": "y + 3", "c": "w + 1", "l": "c + 9", "n": "l + 16", "d": "t + 14", "v": "d + 5", "x": "v + 1", "k": "x + 20", "o": "k + 18", "i": "o + 7", "t": 15}, "premises": {"t": 15}, "target": "n"}, "answer": {"steps": [["l", "c + 9", "c + 25"], ["c", "w + 1", "w + 26"], ["w", "y + 3", "y + 29"], ["y", "e + 18", "e + 47"], ["e", "t + 11", "t + 58"], ["t", 15, "73"]], "target_var_name": "n", "target_value": 73, "value_dict": {"t": 15}, "is_reverse": true}} | 8,759 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = v + 1; n = l + 16; k = x + 20; l = c + 9; e = t + 11; v = d + 5; o = k + 18; w = y + 3; t = 15; c = w + 1; y = e + 18; d = t + 14; i = o + 7. If t = 15, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = c + 9 to n, which gives n = c + 25.\n2. Substitute c = w + 1 to n, which gives n = w + 26.\n3. Substitute w = y + 3 to n, which gives n = y + 29.\n4. Substitute y = e + 18 to n, which gives n = e + 47.\n5. Substitute e = t + 11 to n, which gives n = t + 58.\n6. Substitute t = 15 to n, which gives n = 73.\n\nThus, the final answer is n = \\boxed{73}.",
"index": 8759,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = v + 1; n = l + 16; k = x + 20; l = c + 9; e = t + 11; v = d + 5; o = k + 18; w = y + 3; t = 15; c = w + 1; y = e + 18; d = t + 14; i = o + 7. If t = 15, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"y": "d + 15", "p": "y + 15", "q": "p + 20", "e": "q + 3", "s": "e + 20", "t": "s + 11", "z": "d + 3", "o": "z + 10", "b": "o + 4", "j": "b + 3", "u": "j + 14", "i": "u + 16", "d": 10}, "premises": {"d": 10}, "target": "t"}, "answer": {"steps": [["s", "e + 20", "e + 31"], ["e", "q + 3", "q + 34"], ["q", "p + 20", "p + 54"], ["p", "y + 15", "y + 69"], ["y", "d + 15", "d + 84"], ["d", 10, "94"]], "target_var_name": "t", "target_value": 94, "value_dict": {"d": 10}, "is_reverse": true}} | 8,760 | 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 = d + 15; o = z + 10; b = o + 4; t = s + 11; u = j + 14; p = y + 15; e = q + 3; j = b + 3; z = d + 3; i = u + 16; q = p + 20; s = e + 20; d = 10. If d = 10, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = e + 20 to t, which gives t = e + 31.\n2. Substitute e = q + 3 to t, which gives t = q + 34.\n3. Substitute q = p + 20 to t, which gives t = p + 54.\n4. Substitute p = y + 15 to t, which gives t = y + 69.\n5. Substitute y = d + 15 to t, which gives t = d + 84.\n6. Substitute d = 10 to t, which gives t = 94.\n\nThus, the final answer is t = \\boxed{94}.",
"index": 8760,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = d + 15; o = z + 10; b = o + 4; t = s + 11; u = j + 14; p = y + 15; e = q + 3; j = b + 3; z = d + 3; i = u + 16; q = p + 20; s = e + 20; d = 10. If d = 10, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"w": "a + 6", "p": "w + 3", "g": "p + 4", "b": "g + 6", "l": "b + 7", "m": "l + 19", "x": "a + 19", "i": "x + 6", "q": "i + 11", "t": "q + 2", "z": "t + 6", "s": "z + 11", "a": 10}, "premises": {"a": 10}, "target": "m"}, "answer": {"steps": [["l", "b + 7", "b + 26"], ["b", "g + 6", "g + 32"], ["g", "p + 4", "p + 36"], ["p", "w + 3", "w + 39"], ["w", "a + 6", "a + 45"], ["a", 10, "55"]], "target_var_name": "m", "target_value": 55, "value_dict": {"a": 10}, "is_reverse": true}} | 8,761 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = p + 4; z = t + 6; l = b + 7; i = x + 6; w = a + 6; a = 10; b = g + 6; q = i + 11; t = q + 2; s = z + 11; x = a + 19; m = l + 19; p = w + 3. Given that a = 10, 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 l = b + 7 to m, which gives m = b + 26.\n2. Substitute b = g + 6 to m, which gives m = g + 32.\n3. Substitute g = p + 4 to m, which gives m = p + 36.\n4. Substitute p = w + 3 to m, which gives m = w + 39.\n5. Substitute w = a + 6 to m, which gives m = a + 45.\n6. Substitute a = 10 to m, which gives m = 55.\n\nThus, the final answer is m = \\boxed{55}.",
"index": 8761,
"question": "Suppose a collection of variables is related by the following definitions: g = p + 4; z = t + 6; l = b + 7; i = x + 6; w = a + 6; a = 10; b = g + 6; q = i + 11; t = q + 2; s = z + 11; x = a + 19; m = l + 19; p = w + 3. Given that a = 10, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"a": "z + 11", "v": "a + 4", "r": "v + 19", "x": "r + 9", "d": "x + 3", "t": "d + 4", "l": "z + 15", "n": "l + 5", "w": "n + 20", "j": "w + 19", "h": "j + 10", "s": "h + 17", "z": 1}, "premises": {"z": 1}, "target": "t"}, "answer": {"steps": [["d", "x + 3", "x + 7"], ["x", "r + 9", "r + 16"], ["r", "v + 19", "v + 35"], ["v", "a + 4", "a + 39"], ["a", "z + 11", "z + 50"], ["z", 1, "51"]], "target_var_name": "t", "target_value": 51, "value_dict": {"z": 1}, "is_reverse": true}} | 8,762 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = 1; w = n + 20; n = l + 5; l = z + 15; h = j + 10; x = r + 9; t = d + 4; j = w + 19; a = z + 11; d = x + 3; r = v + 19; v = a + 4; s = h + 17. If z = 1, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = x + 3 to t, which gives t = x + 7.\n2. Substitute x = r + 9 to t, which gives t = r + 16.\n3. Substitute r = v + 19 to t, which gives t = v + 35.\n4. Substitute v = a + 4 to t, which gives t = a + 39.\n5. Substitute a = z + 11 to t, which gives t = z + 50.\n6. Substitute z = 1 to t, which gives t = 51.\n\nThus, the final answer is t = \\boxed{51}.",
"index": 8762,
"question": "Consider a system of variables where each variable is defined as follows: z = 1; w = n + 20; n = l + 5; l = z + 15; h = j + 10; x = r + 9; t = d + 4; j = w + 19; a = z + 11; d = x + 3; r = v + 19; v = a + 4; s = h + 17. If z = 1, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"f": "r + 14", "h": "f + 8", "m": "h + 17", "u": "m + 17", "w": "u + 15", "t": "w + 14", "v": "r + 8", "q": "v + 9", "o": "q + 14", "n": "o + 14", "l": "n + 5", "j": "l + 20", "r": 3}, "premises": {"r": 3}, "target": "t"}, "answer": {"steps": [["w", "u + 15", "u + 29"], ["u", "m + 17", "m + 46"], ["m", "h + 17", "h + 63"], ["h", "f + 8", "f + 71"], ["f", "r + 14", "r + 85"], ["r", 3, "88"]], "target_var_name": "t", "target_value": 88, "value_dict": {"r": 3}, "is_reverse": true}} | 8,763 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = u + 15; q = v + 9; v = r + 8; j = l + 20; m = h + 17; n = o + 14; l = n + 5; u = m + 17; r = 3; o = q + 14; f = r + 14; t = w + 14; h = f + 8. If r = 3, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = u + 15 to t, which gives t = u + 29.\n2. Substitute u = m + 17 to t, which gives t = m + 46.\n3. Substitute m = h + 17 to t, which gives t = h + 63.\n4. Substitute h = f + 8 to t, which gives t = f + 71.\n5. Substitute f = r + 14 to t, which gives t = r + 85.\n6. Substitute r = 3 to t, which gives t = 88.\n\nThus, the final answer is t = \\boxed{88}.",
"index": 8763,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = u + 15; q = v + 9; v = r + 8; j = l + 20; m = h + 17; n = o + 14; l = n + 5; u = m + 17; r = 3; o = q + 14; f = r + 14; t = w + 14; h = f + 8. If r = 3, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"y": "q + 8", "c": "y + 3", "t": "c + 8", "g": "t + 14", "l": "g + 2", "k": "l + 5", "r": "q + 8", "e": "r + 1", "m": "e + 9", "u": "m + 14", "d": "u + 16", "f": "d + 16", "q": 16}, "premises": {"q": 16}, "target": "k"}, "answer": {"steps": [["l", "g + 2", "g + 7"], ["g", "t + 14", "t + 21"], ["t", "c + 8", "c + 29"], ["c", "y + 3", "y + 32"], ["y", "q + 8", "q + 40"], ["q", 16, "56"]], "target_var_name": "k", "target_value": 56, "value_dict": {"q": 16}, "is_reverse": true}} | 8,764 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = c + 8; g = t + 14; q = 16; u = m + 14; f = d + 16; m = e + 9; c = y + 3; y = q + 8; k = l + 5; e = r + 1; d = u + 16; l = g + 2; r = q + 8. If q = 16, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = g + 2 to k, which gives k = g + 7.\n2. Substitute g = t + 14 to k, which gives k = t + 21.\n3. Substitute t = c + 8 to k, which gives k = c + 29.\n4. Substitute c = y + 3 to k, which gives k = y + 32.\n5. Substitute y = q + 8 to k, which gives k = q + 40.\n6. Substitute q = 16 to k, which gives k = 56.\n\nThus, the final answer is k = \\boxed{56}.",
"index": 8764,
"question": "Consider a system of variables where each variable is defined as follows: t = c + 8; g = t + 14; q = 16; u = m + 14; f = d + 16; m = e + 9; c = y + 3; y = q + 8; k = l + 5; e = r + 1; d = u + 16; l = g + 2; r = q + 8. If q = 16, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"q": "i + 12", "o": "q + 2", "h": "o + 6", "s": "h + 4", "p": "s + 14", "b": "p + 5", "r": "i + 16", "f": "r + 8", "t": "f + 14", "c": "t + 20", "v": "c + 16", "d": "v + 19", "i": 16}, "premises": {"i": 16}, "target": "b"}, "answer": {"steps": [["p", "s + 14", "s + 19"], ["s", "h + 4", "h + 23"], ["h", "o + 6", "o + 29"], ["o", "q + 2", "q + 31"], ["q", "i + 12", "i + 43"], ["i", 16, "59"]], "target_var_name": "b", "target_value": 59, "value_dict": {"i": 16}, "is_reverse": true}} | 8,765 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = c + 16; q = i + 12; h = o + 6; f = r + 8; c = t + 20; t = f + 14; s = h + 4; r = i + 16; i = 16; p = s + 14; o = q + 2; d = v + 19; b = p + 5. Given that i = 16, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = s + 14 to b, which gives b = s + 19.\n2. Substitute s = h + 4 to b, which gives b = h + 23.\n3. Substitute h = o + 6 to b, which gives b = o + 29.\n4. Substitute o = q + 2 to b, which gives b = q + 31.\n5. Substitute q = i + 12 to b, which gives b = i + 43.\n6. Substitute i = 16 to b, which gives b = 59.\n\nThus, the final answer is b = \\boxed{59}.",
"index": 8765,
"question": "Suppose a collection of variables is related by the following definitions: v = c + 16; q = i + 12; h = o + 6; f = r + 8; c = t + 20; t = f + 14; s = h + 4; r = i + 16; i = 16; p = s + 14; o = q + 2; d = v + 19; b = p + 5. Given that i = 16, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"n": "b + 15", "d": "n + 13", "a": "d + 15", "x": "a + 3", "r": "x + 15", "c": "r + 11", "t": "b + 7", "m": "t + 4", "o": "m + 2", "y": "o + 4", "k": "y + 11", "p": "k + 4", "b": 17}, "premises": {"b": 17}, "target": "c"}, "answer": {"steps": [["r", "x + 15", "x + 26"], ["x", "a + 3", "a + 29"], ["a", "d + 15", "d + 44"], ["d", "n + 13", "n + 57"], ["n", "b + 15", "b + 72"], ["b", 17, "89"]], "target_var_name": "c", "target_value": 89, "value_dict": {"b": 17}, "is_reverse": true}} | 8,766 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = y + 11; p = k + 4; o = m + 2; c = r + 11; a = d + 15; n = b + 15; x = a + 3; b = 17; m = t + 4; t = b + 7; y = o + 4; r = x + 15; d = n + 13. If b = 17, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = x + 15 to c, which gives c = x + 26.\n2. Substitute x = a + 3 to c, which gives c = a + 29.\n3. Substitute a = d + 15 to c, which gives c = d + 44.\n4. Substitute d = n + 13 to c, which gives c = n + 57.\n5. Substitute n = b + 15 to c, which gives c = b + 72.\n6. Substitute b = 17 to c, which gives c = 89.\n\nThus, the final answer is c = \\boxed{89}.",
"index": 8766,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = y + 11; p = k + 4; o = m + 2; c = r + 11; a = d + 15; n = b + 15; x = a + 3; b = 17; m = t + 4; t = b + 7; y = o + 4; r = x + 15; d = n + 13. If b = 17, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"i": "n + 14", "t": "i + 7", "m": "t + 6", "a": "m + 6", "d": "a + 11", "w": "d + 11", "u": "n + 15", "j": "u + 13", "s": "j + 11", "v": "s + 17", "f": "v + 12", "y": "f + 9", "n": 7}, "premises": {"n": 7}, "target": "w"}, "answer": {"steps": [["d", "a + 11", "a + 22"], ["a", "m + 6", "m + 28"], ["m", "t + 6", "t + 34"], ["t", "i + 7", "i + 41"], ["i", "n + 14", "n + 55"], ["n", 7, "62"]], "target_var_name": "w", "target_value": 62, "value_dict": {"n": 7}, "is_reverse": true}} | 8,767 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = d + 11; v = s + 17; n = 7; y = f + 9; i = n + 14; a = m + 6; u = n + 15; s = j + 11; t = i + 7; f = v + 12; m = t + 6; d = a + 11; j = u + 13. If n = 7, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = a + 11 to w, which gives w = a + 22.\n2. Substitute a = m + 6 to w, which gives w = m + 28.\n3. Substitute m = t + 6 to w, which gives w = t + 34.\n4. Substitute t = i + 7 to w, which gives w = i + 41.\n5. Substitute i = n + 14 to w, which gives w = n + 55.\n6. Substitute n = 7 to w, which gives w = 62.\n\nThus, the final answer is w = \\boxed{62}.",
"index": 8767,
"question": "Consider a system of variables where each variable is defined as follows: w = d + 11; v = s + 17; n = 7; y = f + 9; i = n + 14; a = m + 6; u = n + 15; s = j + 11; t = i + 7; f = v + 12; m = t + 6; d = a + 11; j = u + 13. If n = 7, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"l": "n + 5", "i": "l + 9", "z": "i + 19", "e": "z + 10", "u": "e + 6", "s": "u + 7", "m": "n + 12", "b": "m + 19", "f": "b + 9", "p": "f + 5", "x": "p + 4", "j": "x + 17", "n": 5}, "premises": {"n": 5}, "target": "s"}, "answer": {"steps": [["u", "e + 6", "e + 13"], ["e", "z + 10", "z + 23"], ["z", "i + 19", "i + 42"], ["i", "l + 9", "l + 51"], ["l", "n + 5", "n + 56"], ["n", 5, "61"]], "target_var_name": "s", "target_value": 61, "value_dict": {"n": 5}, "is_reverse": true}} | 8,768 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = m + 19; l = n + 5; j = x + 17; p = f + 5; z = i + 19; u = e + 6; n = 5; x = p + 4; m = n + 12; s = u + 7; f = b + 9; i = l + 9; e = z + 10. If n = 5, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = e + 6 to s, which gives s = e + 13.\n2. Substitute e = z + 10 to s, which gives s = z + 23.\n3. Substitute z = i + 19 to s, which gives s = i + 42.\n4. Substitute i = l + 9 to s, which gives s = l + 51.\n5. Substitute l = n + 5 to s, which gives s = n + 56.\n6. Substitute n = 5 to s, which gives s = 61.\n\nThus, the final answer is s = \\boxed{61}.",
"index": 8768,
"question": "Consider a system of variables where each variable is defined as follows: b = m + 19; l = n + 5; j = x + 17; p = f + 5; z = i + 19; u = e + 6; n = 5; x = p + 4; m = n + 12; s = u + 7; f = b + 9; i = l + 9; e = z + 10. If n = 5, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"o": "r + 10", "v": "o + 19", "s": "v + 16", "w": "s + 19", "m": "w + 9", "a": "m + 16", "c": "r + 3", "i": "c + 2", "l": "i + 10", "h": "l + 9", "f": "h + 2", "y": "f + 3", "r": 3}, "premises": {"r": 3}, "target": "a"}, "answer": {"steps": [["m", "w + 9", "w + 25"], ["w", "s + 19", "s + 44"], ["s", "v + 16", "v + 60"], ["v", "o + 19", "o + 79"], ["o", "r + 10", "r + 89"], ["r", 3, "92"]], "target_var_name": "a", "target_value": 92, "value_dict": {"r": 3}, "is_reverse": true}} | 8,769 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = r + 10; y = f + 3; f = h + 2; v = o + 19; m = w + 9; c = r + 3; l = i + 10; w = s + 19; s = v + 16; a = m + 16; h = l + 9; r = 3; i = c + 2. If r = 3, 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 m = w + 9 to a, which gives a = w + 25.\n2. Substitute w = s + 19 to a, which gives a = s + 44.\n3. Substitute s = v + 16 to a, which gives a = v + 60.\n4. Substitute v = o + 19 to a, which gives a = o + 79.\n5. Substitute o = r + 10 to a, which gives a = r + 89.\n6. Substitute r = 3 to a, which gives a = 92.\n\nThus, the final answer is a = \\boxed{92}.",
"index": 8769,
"question": "Consider a system of variables where each variable is defined as follows: o = r + 10; y = f + 3; f = h + 2; v = o + 19; m = w + 9; c = r + 3; l = i + 10; w = s + 19; s = v + 16; a = m + 16; h = l + 9; r = 3; i = c + 2. If r = 3, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"g": "z + 8", "s": "g + 11", "c": "s + 8", "m": "c + 16", "e": "m + 6", "d": "e + 1", "b": "z + 10", "k": "b + 14", "u": "k + 16", "y": "u + 13", "j": "y + 5", "h": "j + 11", "z": 20}, "premises": {"z": 20}, "target": "d"}, "answer": {"steps": [["e", "m + 6", "m + 7"], ["m", "c + 16", "c + 23"], ["c", "s + 8", "s + 31"], ["s", "g + 11", "g + 42"], ["g", "z + 8", "z + 50"], ["z", 20, "70"]], "target_var_name": "d", "target_value": 70, "value_dict": {"z": 20}, "is_reverse": true}} | 8,770 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = b + 14; e = m + 6; s = g + 11; h = j + 11; y = u + 13; j = y + 5; u = k + 16; z = 20; d = e + 1; b = z + 10; m = c + 16; g = z + 8; c = s + 8. If z = 20, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = m + 6 to d, which gives d = m + 7.\n2. Substitute m = c + 16 to d, which gives d = c + 23.\n3. Substitute c = s + 8 to d, which gives d = s + 31.\n4. Substitute s = g + 11 to d, which gives d = g + 42.\n5. Substitute g = z + 8 to d, which gives d = z + 50.\n6. Substitute z = 20 to d, which gives d = 70.\n\nThus, the final answer is d = \\boxed{70}.",
"index": 8770,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = b + 14; e = m + 6; s = g + 11; h = j + 11; y = u + 13; j = y + 5; u = k + 16; z = 20; d = e + 1; b = z + 10; m = c + 16; g = z + 8; c = s + 8. If z = 20, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"q": "a + 16", "k": "q + 11", "p": "k + 4", "s": "p + 10", "b": "s + 2", "f": "b + 8", "i": "a + 18", "r": "i + 6", "n": "r + 9", "h": "n + 20", "z": "h + 7", "l": "z + 18", "a": 18}, "premises": {"a": 18}, "target": "f"}, "answer": {"steps": [["b", "s + 2", "s + 10"], ["s", "p + 10", "p + 20"], ["p", "k + 4", "k + 24"], ["k", "q + 11", "q + 35"], ["q", "a + 16", "a + 51"], ["a", 18, "69"]], "target_var_name": "f", "target_value": 69, "value_dict": {"a": 18}, "is_reverse": true}} | 8,771 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = 18; p = k + 4; b = s + 2; n = r + 9; r = i + 6; f = b + 8; s = p + 10; z = h + 7; i = a + 18; k = q + 11; h = n + 20; q = a + 16; l = z + 18. Given that a = 18, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = s + 2 to f, which gives f = s + 10.\n2. Substitute s = p + 10 to f, which gives f = p + 20.\n3. Substitute p = k + 4 to f, which gives f = k + 24.\n4. Substitute k = q + 11 to f, which gives f = q + 35.\n5. Substitute q = a + 16 to f, which gives f = a + 51.\n6. Substitute a = 18 to f, which gives f = 69.\n\nThus, the final answer is f = \\boxed{69}.",
"index": 8771,
"question": "Suppose a collection of variables is related by the following definitions: a = 18; p = k + 4; b = s + 2; n = r + 9; r = i + 6; f = b + 8; s = p + 10; z = h + 7; i = a + 18; k = q + 11; h = n + 20; q = a + 16; l = z + 18. Given that a = 18, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"o": "j + 6", "u": "o + 5", "y": "u + 15", "a": "y + 3", "s": "a + 1", "p": "s + 17", "e": "j + 16", "q": "e + 18", "g": "q + 18", "d": "g + 17", "z": "d + 10", "i": "z + 18", "j": 6}, "premises": {"j": 6}, "target": "p"}, "answer": {"steps": [["s", "a + 1", "a + 18"], ["a", "y + 3", "y + 21"], ["y", "u + 15", "u + 36"], ["u", "o + 5", "o + 41"], ["o", "j + 6", "j + 47"], ["j", 6, "53"]], "target_var_name": "p", "target_value": 53, "value_dict": {"j": 6}, "is_reverse": true}} | 8,772 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = a + 1; q = e + 18; e = j + 16; a = y + 3; z = d + 10; i = z + 18; j = 6; p = s + 17; g = q + 18; u = o + 5; d = g + 17; y = u + 15; o = j + 6. Given that j = 6, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = a + 1 to p, which gives p = a + 18.\n2. Substitute a = y + 3 to p, which gives p = y + 21.\n3. Substitute y = u + 15 to p, which gives p = u + 36.\n4. Substitute u = o + 5 to p, which gives p = o + 41.\n5. Substitute o = j + 6 to p, which gives p = j + 47.\n6. Substitute j = 6 to p, which gives p = 53.\n\nThus, the final answer is p = \\boxed{53}.",
"index": 8772,
"question": "Suppose a collection of variables is related by the following definitions: s = a + 1; q = e + 18; e = j + 16; a = y + 3; z = d + 10; i = z + 18; j = 6; p = s + 17; g = q + 18; u = o + 5; d = g + 17; y = u + 15; o = j + 6. Given that j = 6, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"i": "q + 8", "x": "i + 16", "b": "x + 8", "m": "b + 10", "e": "m + 8", "s": "e + 17", "j": "q + 10", "h": "j + 10", "p": "h + 8", "f": "p + 15", "z": "f + 16", "u": "z + 2", "q": 20}, "premises": {"q": 20}, "target": "s"}, "answer": {"steps": [["e", "m + 8", "m + 25"], ["m", "b + 10", "b + 35"], ["b", "x + 8", "x + 43"], ["x", "i + 16", "i + 59"], ["i", "q + 8", "q + 67"], ["q", 20, "87"]], "target_var_name": "s", "target_value": 87, "value_dict": {"q": 20}, "is_reverse": true}} | 8,773 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = j + 10; i = q + 8; f = p + 15; e = m + 8; z = f + 16; q = 20; x = i + 16; b = x + 8; j = q + 10; s = e + 17; p = h + 8; u = z + 2; m = b + 10. If q = 20, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = m + 8 to s, which gives s = m + 25.\n2. Substitute m = b + 10 to s, which gives s = b + 35.\n3. Substitute b = x + 8 to s, which gives s = x + 43.\n4. Substitute x = i + 16 to s, which gives s = i + 59.\n5. Substitute i = q + 8 to s, which gives s = q + 67.\n6. Substitute q = 20 to s, which gives s = 87.\n\nThus, the final answer is s = \\boxed{87}.",
"index": 8773,
"question": "Consider a system of variables where each variable is defined as follows: h = j + 10; i = q + 8; f = p + 15; e = m + 8; z = f + 16; q = 20; x = i + 16; b = x + 8; j = q + 10; s = e + 17; p = h + 8; u = z + 2; m = b + 10. If q = 20, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"c": "e + 14", "b": "c + 13", "t": "b + 3", "y": "t + 18", "a": "y + 20", "n": "a + 1", "j": "e + 20", "q": "j + 15", "d": "q + 8", "k": "d + 9", "g": "k + 16", "f": "g + 14", "e": 10}, "premises": {"e": 10}, "target": "n"}, "answer": {"steps": [["a", "y + 20", "y + 21"], ["y", "t + 18", "t + 39"], ["t", "b + 3", "b + 42"], ["b", "c + 13", "c + 55"], ["c", "e + 14", "e + 69"], ["e", 10, "79"]], "target_var_name": "n", "target_value": 79, "value_dict": {"e": 10}, "is_reverse": true}} | 8,774 | 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 = 10; d = q + 8; a = y + 20; b = c + 13; g = k + 16; j = e + 20; c = e + 14; q = j + 15; k = d + 9; n = a + 1; t = b + 3; y = t + 18; f = g + 14. If e = 10, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = y + 20 to n, which gives n = y + 21.\n2. Substitute y = t + 18 to n, which gives n = t + 39.\n3. Substitute t = b + 3 to n, which gives n = b + 42.\n4. Substitute b = c + 13 to n, which gives n = c + 55.\n5. Substitute c = e + 14 to n, which gives n = e + 69.\n6. Substitute e = 10 to n, which gives n = 79.\n\nThus, the final answer is n = \\boxed{79}.",
"index": 8774,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = 10; d = q + 8; a = y + 20; b = c + 13; g = k + 16; j = e + 20; c = e + 14; q = j + 15; k = d + 9; n = a + 1; t = b + 3; y = t + 18; f = g + 14. If e = 10, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"f": "m + 2", "w": "f + 20", "r": "w + 12", "z": "r + 20", "b": "z + 19", "s": "b + 19", "e": "m + 5", "c": "e + 6", "n": "c + 20", "j": "n + 13", "u": "j + 13", "i": "u + 2", "m": 16}, "premises": {"m": 16}, "target": "s"}, "answer": {"steps": [["b", "z + 19", "z + 38"], ["z", "r + 20", "r + 58"], ["r", "w + 12", "w + 70"], ["w", "f + 20", "f + 90"], ["f", "m + 2", "m + 92"], ["m", 16, "108"]], "target_var_name": "s", "target_value": 108, "value_dict": {"m": 16}, "is_reverse": true}} | 8,775 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = f + 20; s = b + 19; u = j + 13; m = 16; e = m + 5; z = r + 20; f = m + 2; j = n + 13; n = c + 20; b = z + 19; r = w + 12; i = u + 2; c = e + 6. If m = 16, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 108,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = z + 19 to s, which gives s = z + 38.\n2. Substitute z = r + 20 to s, which gives s = r + 58.\n3. Substitute r = w + 12 to s, which gives s = w + 70.\n4. Substitute w = f + 20 to s, which gives s = f + 90.\n5. Substitute f = m + 2 to s, which gives s = m + 92.\n6. Substitute m = 16 to s, which gives s = 108.\n\nThus, the final answer is s = \\boxed{108}.",
"index": 8775,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = f + 20; s = b + 19; u = j + 13; m = 16; e = m + 5; z = r + 20; f = m + 2; j = n + 13; n = c + 20; b = z + 19; r = w + 12; i = u + 2; c = e + 6. If m = 16, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"l": "z + 4", "v": "l + 9", "d": "v + 6", "j": "d + 1", "q": "j + 3", "e": "q + 8", "c": "z + 11", "b": "c + 10", "g": "b + 11", "n": "g + 10", "t": "n + 10", "k": "t + 9", "z": 20}, "premises": {"z": 20}, "target": "e"}, "answer": {"steps": [["q", "j + 3", "j + 11"], ["j", "d + 1", "d + 12"], ["d", "v + 6", "v + 18"], ["v", "l + 9", "l + 27"], ["l", "z + 4", "z + 31"], ["z", 20, "51"]], "target_var_name": "e", "target_value": 51, "value_dict": {"z": 20}, "is_reverse": true}} | 8,776 | 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 = d + 1; g = b + 11; z = 20; v = l + 9; k = t + 9; d = v + 6; n = g + 10; t = n + 10; l = z + 4; b = c + 10; q = j + 3; c = z + 11; e = q + 8. If z = 20, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = j + 3 to e, which gives e = j + 11.\n2. Substitute j = d + 1 to e, which gives e = d + 12.\n3. Substitute d = v + 6 to e, which gives e = v + 18.\n4. Substitute v = l + 9 to e, which gives e = l + 27.\n5. Substitute l = z + 4 to e, which gives e = z + 31.\n6. Substitute z = 20 to e, which gives e = 51.\n\nThus, the final answer is e = \\boxed{51}.",
"index": 8776,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = d + 1; g = b + 11; z = 20; v = l + 9; k = t + 9; d = v + 6; n = g + 10; t = n + 10; l = z + 4; b = c + 10; q = j + 3; c = z + 11; e = q + 8. If z = 20, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"s": "g + 3", "e": "s + 19", "f": "e + 12", "w": "f + 1", "p": "w + 13", "j": "p + 12", "k": "g + 11", "m": "k + 7", "v": "m + 6", "c": "v + 8", "y": "c + 12", "h": "y + 18", "g": 5}, "premises": {"g": 5}, "target": "j"}, "answer": {"steps": [["p", "w + 13", "w + 25"], ["w", "f + 1", "f + 26"], ["f", "e + 12", "e + 38"], ["e", "s + 19", "s + 57"], ["s", "g + 3", "g + 60"], ["g", 5, "65"]], "target_var_name": "j", "target_value": 65, "value_dict": {"g": 5}, "is_reverse": true}} | 8,777 | 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 = p + 12; m = k + 7; w = f + 1; f = e + 12; g = 5; s = g + 3; y = c + 12; p = w + 13; v = m + 6; k = g + 11; e = s + 19; h = y + 18; c = v + 8. If g = 5, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = w + 13 to j, which gives j = w + 25.\n2. Substitute w = f + 1 to j, which gives j = f + 26.\n3. Substitute f = e + 12 to j, which gives j = e + 38.\n4. Substitute e = s + 19 to j, which gives j = s + 57.\n5. Substitute s = g + 3 to j, which gives j = g + 60.\n6. Substitute g = 5 to j, which gives j = 65.\n\nThus, the final answer is j = \\boxed{65}.",
"index": 8777,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = p + 12; m = k + 7; w = f + 1; f = e + 12; g = 5; s = g + 3; y = c + 12; p = w + 13; v = m + 6; k = g + 11; e = s + 19; h = y + 18; c = v + 8. If g = 5, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"h": "e + 3", "w": "h + 4", "n": "w + 17", "m": "n + 20", "s": "m + 15", "o": "s + 19", "f": "e + 19", "k": "f + 16", "i": "k + 9", "t": "i + 13", "d": "t + 3", "p": "d + 13", "e": 3}, "premises": {"e": 3}, "target": "o"}, "answer": {"steps": [["s", "m + 15", "m + 34"], ["m", "n + 20", "n + 54"], ["n", "w + 17", "w + 71"], ["w", "h + 4", "h + 75"], ["h", "e + 3", "e + 78"], ["e", 3, "81"]], "target_var_name": "o", "target_value": 81, "value_dict": {"e": 3}, "is_reverse": true}} | 8,778 | 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 = m + 15; n = w + 17; o = s + 19; m = n + 20; w = h + 4; d = t + 3; k = f + 16; p = d + 13; f = e + 19; e = 3; h = e + 3; t = i + 13; i = k + 9. If e = 3, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = m + 15 to o, which gives o = m + 34.\n2. Substitute m = n + 20 to o, which gives o = n + 54.\n3. Substitute n = w + 17 to o, which gives o = w + 71.\n4. Substitute w = h + 4 to o, which gives o = h + 75.\n5. Substitute h = e + 3 to o, which gives o = e + 78.\n6. Substitute e = 3 to o, which gives o = 81.\n\nThus, the final answer is o = \\boxed{81}.",
"index": 8778,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = m + 15; n = w + 17; o = s + 19; m = n + 20; w = h + 4; d = t + 3; k = f + 16; p = d + 13; f = e + 19; e = 3; h = e + 3; t = i + 13; i = k + 9. If e = 3, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"e": "g + 20", "p": "e + 16", "w": "p + 1", "j": "w + 16", "u": "j + 1", "r": "u + 19", "c": "g + 15", "s": "c + 20", "t": "s + 12", "k": "t + 11", "a": "k + 15", "z": "a + 17", "g": 13}, "premises": {"g": 13}, "target": "r"}, "answer": {"steps": [["u", "j + 1", "j + 20"], ["j", "w + 16", "w + 36"], ["w", "p + 1", "p + 37"], ["p", "e + 16", "e + 53"], ["e", "g + 20", "g + 73"], ["g", 13, "86"]], "target_var_name": "r", "target_value": 86, "value_dict": {"g": 13}, "is_reverse": true}} | 8,779 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = 13; c = g + 15; k = t + 11; a = k + 15; e = g + 20; s = c + 20; w = p + 1; u = j + 1; j = w + 16; z = a + 17; r = u + 19; t = s + 12; p = e + 16. If g = 13, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = j + 1 to r, which gives r = j + 20.\n2. Substitute j = w + 16 to r, which gives r = w + 36.\n3. Substitute w = p + 1 to r, which gives r = p + 37.\n4. Substitute p = e + 16 to r, which gives r = e + 53.\n5. Substitute e = g + 20 to r, which gives r = g + 73.\n6. Substitute g = 13 to r, which gives r = 86.\n\nThus, the final answer is r = \\boxed{86}.",
"index": 8779,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = 13; c = g + 15; k = t + 11; a = k + 15; e = g + 20; s = c + 20; w = p + 1; u = j + 1; j = w + 16; z = a + 17; r = u + 19; t = s + 12; p = e + 16. If g = 13, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"e": "a + 2", "c": "e + 11", "g": "c + 15", "o": "g + 10", "v": "o + 15", "n": "v + 18", "x": "a + 12", "z": "x + 9", "m": "z + 6", "k": "m + 14", "s": "k + 5", "b": "s + 19", "a": 4}, "premises": {"a": 4}, "target": "n"}, "answer": {"steps": [["v", "o + 15", "o + 33"], ["o", "g + 10", "g + 43"], ["g", "c + 15", "c + 58"], ["c", "e + 11", "e + 69"], ["e", "a + 2", "a + 71"], ["a", 4, "75"]], "target_var_name": "n", "target_value": 75, "value_dict": {"a": 4}, "is_reverse": true}} | 8,780 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = s + 19; v = o + 15; e = a + 2; s = k + 5; c = e + 11; m = z + 6; n = v + 18; z = x + 9; o = g + 10; x = a + 12; k = m + 14; a = 4; g = c + 15. Given that a = 4, find the 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 v = o + 15 to n, which gives n = o + 33.\n2. Substitute o = g + 10 to n, which gives n = g + 43.\n3. Substitute g = c + 15 to n, which gives n = c + 58.\n4. Substitute c = e + 11 to n, which gives n = e + 69.\n5. Substitute e = a + 2 to n, which gives n = a + 71.\n6. Substitute a = 4 to n, which gives n = 75.\n\nThus, the final answer is n = \\boxed{75}.",
"index": 8780,
"question": "Suppose a collection of variables is related by the following definitions: b = s + 19; v = o + 15; e = a + 2; s = k + 5; c = e + 11; m = z + 6; n = v + 18; z = x + 9; o = g + 10; x = a + 12; k = m + 14; a = 4; g = c + 15. Given that a = 4, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"e": "i + 5", "u": "e + 3", "b": "u + 2", "z": "b + 3", "o": "z + 19", "y": "o + 5", "v": "i + 6", "p": "v + 3", "r": "p + 15", "h": "r + 8", "k": "h + 8", "n": "k + 15", "i": 10}, "premises": {"i": 10}, "target": "y"}, "answer": {"steps": [["o", "z + 19", "z + 24"], ["z", "b + 3", "b + 27"], ["b", "u + 2", "u + 29"], ["u", "e + 3", "e + 32"], ["e", "i + 5", "i + 37"], ["i", 10, "47"]], "target_var_name": "y", "target_value": 47, "value_dict": {"i": 10}, "is_reverse": true}} | 8,781 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = h + 8; e = i + 5; y = o + 5; o = z + 19; p = v + 3; u = e + 3; i = 10; v = i + 6; n = k + 15; b = u + 2; h = r + 8; z = b + 3; r = p + 15. If i = 10, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = z + 19 to y, which gives y = z + 24.\n2. Substitute z = b + 3 to y, which gives y = b + 27.\n3. Substitute b = u + 2 to y, which gives y = u + 29.\n4. Substitute u = e + 3 to y, which gives y = e + 32.\n5. Substitute e = i + 5 to y, which gives y = i + 37.\n6. Substitute i = 10 to y, which gives y = 47.\n\nThus, the final answer is y = \\boxed{47}.",
"index": 8781,
"question": "Consider a system of variables where each variable is defined as follows: k = h + 8; e = i + 5; y = o + 5; o = z + 19; p = v + 3; u = e + 3; i = 10; v = i + 6; n = k + 15; b = u + 2; h = r + 8; z = b + 3; r = p + 15. If i = 10, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"o": "l + 5", "t": "o + 11", "v": "t + 18", "p": "v + 2", "r": "p + 14", "c": "r + 7", "m": "l + 5", "h": "m + 16", "z": "h + 12", "u": "z + 20", "d": "u + 4", "k": "d + 19", "l": 18}, "premises": {"l": 18}, "target": "c"}, "answer": {"steps": [["r", "p + 14", "p + 21"], ["p", "v + 2", "v + 23"], ["v", "t + 18", "t + 41"], ["t", "o + 11", "o + 52"], ["o", "l + 5", "l + 57"], ["l", 18, "75"]], "target_var_name": "c", "target_value": 75, "value_dict": {"l": 18}, "is_reverse": true}} | 8,782 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = 18; m = l + 5; k = d + 19; h = m + 16; p = v + 2; c = r + 7; z = h + 12; o = l + 5; u = z + 20; t = o + 11; r = p + 14; d = u + 4; v = t + 18. If l = 18, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = p + 14 to c, which gives c = p + 21.\n2. Substitute p = v + 2 to c, which gives c = v + 23.\n3. Substitute v = t + 18 to c, which gives c = t + 41.\n4. Substitute t = o + 11 to c, which gives c = o + 52.\n5. Substitute o = l + 5 to c, which gives c = l + 57.\n6. Substitute l = 18 to c, which gives c = 75.\n\nThus, the final answer is c = \\boxed{75}.",
"index": 8782,
"question": "Consider a system of variables where each variable is defined as follows: l = 18; m = l + 5; k = d + 19; h = m + 16; p = v + 2; c = r + 7; z = h + 12; o = l + 5; u = z + 20; t = o + 11; r = p + 14; d = u + 4; v = t + 18. If l = 18, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"p": "q + 19", "h": "p + 20", "d": "h + 3", "x": "d + 3", "w": "x + 7", "l": "w + 3", "j": "q + 13", "t": "j + 14", "e": "t + 12", "u": "e + 19", "r": "u + 20", "a": "r + 14", "q": 14}, "premises": {"q": 14}, "target": "l"}, "answer": {"steps": [["w", "x + 7", "x + 10"], ["x", "d + 3", "d + 13"], ["d", "h + 3", "h + 16"], ["h", "p + 20", "p + 36"], ["p", "q + 19", "q + 55"], ["q", 14, "69"]], "target_var_name": "l", "target_value": 69, "value_dict": {"q": 14}, "is_reverse": true}} | 8,783 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = w + 3; w = x + 7; j = q + 13; a = r + 14; t = j + 14; e = t + 12; p = q + 19; h = p + 20; x = d + 3; u = e + 19; d = h + 3; q = 14; r = u + 20. Given that q = 14, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = x + 7 to l, which gives l = x + 10.\n2. Substitute x = d + 3 to l, which gives l = d + 13.\n3. Substitute d = h + 3 to l, which gives l = h + 16.\n4. Substitute h = p + 20 to l, which gives l = p + 36.\n5. Substitute p = q + 19 to l, which gives l = q + 55.\n6. Substitute q = 14 to l, which gives l = 69.\n\nThus, the final answer is l = \\boxed{69}.",
"index": 8783,
"question": "Suppose a collection of variables is related by the following definitions: l = w + 3; w = x + 7; j = q + 13; a = r + 14; t = j + 14; e = t + 12; p = q + 19; h = p + 20; x = d + 3; u = e + 19; d = h + 3; q = 14; r = u + 20. Given that q = 14, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"s": "g + 7", "w": "s + 8", "l": "w + 8", "d": "l + 17", "m": "d + 10", "y": "m + 8", "k": "g + 7", "b": "k + 17", "c": "b + 11", "p": "c + 1", "r": "p + 2", "v": "r + 8", "g": 18}, "premises": {"g": 18}, "target": "y"}, "answer": {"steps": [["m", "d + 10", "d + 18"], ["d", "l + 17", "l + 35"], ["l", "w + 8", "w + 43"], ["w", "s + 8", "s + 51"], ["s", "g + 7", "g + 58"], ["g", 18, "76"]], "target_var_name": "y", "target_value": 76, "value_dict": {"g": 18}, "is_reverse": true}} | 8,784 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = l + 17; b = k + 17; m = d + 10; v = r + 8; y = m + 8; p = c + 1; l = w + 8; k = g + 7; r = p + 2; w = s + 8; c = b + 11; g = 18; s = g + 7. Given that g = 18, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = d + 10 to y, which gives y = d + 18.\n2. Substitute d = l + 17 to y, which gives y = l + 35.\n3. Substitute l = w + 8 to y, which gives y = w + 43.\n4. Substitute w = s + 8 to y, which gives y = s + 51.\n5. Substitute s = g + 7 to y, which gives y = g + 58.\n6. Substitute g = 18 to y, which gives y = 76.\n\nThus, the final answer is y = \\boxed{76}.",
"index": 8784,
"question": "Suppose a collection of variables is related by the following definitions: d = l + 17; b = k + 17; m = d + 10; v = r + 8; y = m + 8; p = c + 1; l = w + 8; k = g + 7; r = p + 2; w = s + 8; c = b + 11; g = 18; s = g + 7. Given that g = 18, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"m": "b + 13", "r": "m + 8", "y": "r + 6", "x": "y + 3", "u": "x + 20", "s": "u + 11", "w": "b + 6", "v": "w + 3", "n": "v + 19", "k": "n + 7", "h": "k + 9", "d": "h + 8", "b": 15}, "premises": {"b": 15}, "target": "s"}, "answer": {"steps": [["u", "x + 20", "x + 31"], ["x", "y + 3", "y + 34"], ["y", "r + 6", "r + 40"], ["r", "m + 8", "m + 48"], ["m", "b + 13", "b + 61"], ["b", 15, "76"]], "target_var_name": "s", "target_value": 76, "value_dict": {"b": 15}, "is_reverse": true}} | 8,785 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = k + 9; m = b + 13; d = h + 8; n = v + 19; v = w + 3; u = x + 20; x = y + 3; y = r + 6; s = u + 11; k = n + 7; b = 15; r = m + 8; w = b + 6. If b = 15, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = x + 20 to s, which gives s = x + 31.\n2. Substitute x = y + 3 to s, which gives s = y + 34.\n3. Substitute y = r + 6 to s, which gives s = r + 40.\n4. Substitute r = m + 8 to s, which gives s = m + 48.\n5. Substitute m = b + 13 to s, which gives s = b + 61.\n6. Substitute b = 15 to s, which gives s = 76.\n\nThus, the final answer is s = \\boxed{76}.",
"index": 8785,
"question": "Consider a system of variables where each variable is defined as follows: h = k + 9; m = b + 13; d = h + 8; n = v + 19; v = w + 3; u = x + 20; x = y + 3; y = r + 6; s = u + 11; k = n + 7; b = 15; r = m + 8; w = b + 6. If b = 15, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"i": "n + 10", "g": "i + 11", "t": "g + 16", "b": "t + 2", "m": "b + 1", "c": "m + 1", "d": "n + 13", "w": "d + 13", "e": "w + 17", "v": "e + 1", "r": "v + 16", "a": "r + 20", "n": 12}, "premises": {"n": 12}, "target": "c"}, "answer": {"steps": [["m", "b + 1", "b + 2"], ["b", "t + 2", "t + 4"], ["t", "g + 16", "g + 20"], ["g", "i + 11", "i + 31"], ["i", "n + 10", "n + 41"], ["n", 12, "53"]], "target_var_name": "c", "target_value": 53, "value_dict": {"n": 12}, "is_reverse": true}} | 8,786 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = w + 17; i = n + 10; n = 12; w = d + 13; v = e + 1; a = r + 20; r = v + 16; t = g + 16; d = n + 13; m = b + 1; g = i + 11; c = m + 1; b = t + 2. Given that n = 12, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = b + 1 to c, which gives c = b + 2.\n2. Substitute b = t + 2 to c, which gives c = t + 4.\n3. Substitute t = g + 16 to c, which gives c = g + 20.\n4. Substitute g = i + 11 to c, which gives c = i + 31.\n5. Substitute i = n + 10 to c, which gives c = n + 41.\n6. Substitute n = 12 to c, which gives c = 53.\n\nThus, the final answer is c = \\boxed{53}.",
"index": 8786,
"question": "Suppose a collection of variables is related by the following definitions: e = w + 17; i = n + 10; n = 12; w = d + 13; v = e + 1; a = r + 20; r = v + 16; t = g + 16; d = n + 13; m = b + 1; g = i + 11; c = m + 1; b = t + 2. Given that n = 12, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"t": "i + 4", "k": "t + 10", "d": "k + 12", "r": "d + 19", "z": "r + 9", "c": "z + 4", "v": "i + 1", "w": "v + 14", "s": "w + 5", "p": "s + 7", "l": "p + 3", "x": "l + 13", "i": 7}, "premises": {"i": 7}, "target": "c"}, "answer": {"steps": [["z", "r + 9", "r + 13"], ["r", "d + 19", "d + 32"], ["d", "k + 12", "k + 44"], ["k", "t + 10", "t + 54"], ["t", "i + 4", "i + 58"], ["i", 7, "65"]], "target_var_name": "c", "target_value": 65, "value_dict": {"i": 7}, "is_reverse": true}} | 8,787 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = w + 5; v = i + 1; p = s + 7; x = l + 13; t = i + 4; l = p + 3; i = 7; w = v + 14; k = t + 10; r = d + 19; d = k + 12; c = z + 4; z = r + 9. If i = 7, determine 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 z = r + 9 to c, which gives c = r + 13.\n2. Substitute r = d + 19 to c, which gives c = d + 32.\n3. Substitute d = k + 12 to c, which gives c = k + 44.\n4. Substitute k = t + 10 to c, which gives c = t + 54.\n5. Substitute t = i + 4 to c, which gives c = i + 58.\n6. Substitute i = 7 to c, which gives c = 65.\n\nThus, the final answer is c = \\boxed{65}.",
"index": 8787,
"question": "Consider a system of variables where each variable is defined as follows: s = w + 5; v = i + 1; p = s + 7; x = l + 13; t = i + 4; l = p + 3; i = 7; w = v + 14; k = t + 10; r = d + 19; d = k + 12; c = z + 4; z = r + 9. If i = 7, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"l": "k + 11", "t": "l + 8", "a": "t + 11", "e": "a + 16", "x": "e + 18", "j": "x + 9", "h": "k + 10", "f": "h + 2", "w": "f + 4", "o": "w + 9", "q": "o + 3", "s": "q + 5", "k": 14}, "premises": {"k": 14}, "target": "j"}, "answer": {"steps": [["x", "e + 18", "e + 27"], ["e", "a + 16", "a + 43"], ["a", "t + 11", "t + 54"], ["t", "l + 8", "l + 62"], ["l", "k + 11", "k + 73"], ["k", 14, "87"]], "target_var_name": "j", "target_value": 87, "value_dict": {"k": 14}, "is_reverse": true}} | 8,788 | 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 + 18; q = o + 3; j = x + 9; h = k + 10; e = a + 16; f = h + 2; o = w + 9; k = 14; l = k + 11; a = t + 11; s = q + 5; t = l + 8; w = f + 4. If k = 14, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = e + 18 to j, which gives j = e + 27.\n2. Substitute e = a + 16 to j, which gives j = a + 43.\n3. Substitute a = t + 11 to j, which gives j = t + 54.\n4. Substitute t = l + 8 to j, which gives j = l + 62.\n5. Substitute l = k + 11 to j, which gives j = k + 73.\n6. Substitute k = 14 to j, which gives j = 87.\n\nThus, the final answer is j = \\boxed{87}.",
"index": 8788,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = e + 18; q = o + 3; j = x + 9; h = k + 10; e = a + 16; f = h + 2; o = w + 9; k = 14; l = k + 11; a = t + 11; s = q + 5; t = l + 8; w = f + 4. If k = 14, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"z": "l + 14", "w": "z + 9", "e": "w + 6", "y": "e + 19", "j": "y + 13", "b": "j + 5", "v": "l + 4", "t": "v + 6", "r": "t + 15", "m": "r + 5", "g": "m + 4", "d": "g + 1", "l": 14}, "premises": {"l": 14}, "target": "b"}, "answer": {"steps": [["j", "y + 13", "y + 18"], ["y", "e + 19", "e + 37"], ["e", "w + 6", "w + 43"], ["w", "z + 9", "z + 52"], ["z", "l + 14", "l + 66"], ["l", 14, "80"]], "target_var_name": "b", "target_value": 80, "value_dict": {"l": 14}, "is_reverse": true}} | 8,789 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = v + 6; z = l + 14; v = l + 4; j = y + 13; y = e + 19; b = j + 5; m = r + 5; w = z + 9; e = w + 6; l = 14; g = m + 4; r = t + 15; d = g + 1. Given that l = 14, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = y + 13 to b, which gives b = y + 18.\n2. Substitute y = e + 19 to b, which gives b = e + 37.\n3. Substitute e = w + 6 to b, which gives b = w + 43.\n4. Substitute w = z + 9 to b, which gives b = z + 52.\n5. Substitute z = l + 14 to b, which gives b = l + 66.\n6. Substitute l = 14 to b, which gives b = 80.\n\nThus, the final answer is b = \\boxed{80}.",
"index": 8789,
"question": "Suppose a collection of variables is related by the following definitions: t = v + 6; z = l + 14; v = l + 4; j = y + 13; y = e + 19; b = j + 5; m = r + 5; w = z + 9; e = w + 6; l = 14; g = m + 4; r = t + 15; d = g + 1. Given that l = 14, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"d": "q + 6", "s": "d + 2", "r": "s + 17", "t": "r + 4", "g": "t + 1", "c": "g + 18", "u": "q + 13", "n": "u + 12", "v": "n + 10", "i": "v + 4", "j": "i + 10", "o": "j + 14", "q": 12}, "premises": {"q": 12}, "target": "c"}, "answer": {"steps": [["g", "t + 1", "t + 19"], ["t", "r + 4", "r + 23"], ["r", "s + 17", "s + 40"], ["s", "d + 2", "d + 42"], ["d", "q + 6", "q + 48"], ["q", 12, "60"]], "target_var_name": "c", "target_value": 60, "value_dict": {"q": 12}, "is_reverse": true}} | 8,790 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = v + 4; o = j + 14; c = g + 18; q = 12; g = t + 1; d = q + 6; v = n + 10; n = u + 12; r = s + 17; u = q + 13; j = i + 10; t = r + 4; s = d + 2. Given that q = 12, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = t + 1 to c, which gives c = t + 19.\n2. Substitute t = r + 4 to c, which gives c = r + 23.\n3. Substitute r = s + 17 to c, which gives c = s + 40.\n4. Substitute s = d + 2 to c, which gives c = d + 42.\n5. Substitute d = q + 6 to c, which gives c = q + 48.\n6. Substitute q = 12 to c, which gives c = 60.\n\nThus, the final answer is c = \\boxed{60}.",
"index": 8790,
"question": "Suppose a collection of variables is related by the following definitions: i = v + 4; o = j + 14; c = g + 18; q = 12; g = t + 1; d = q + 6; v = n + 10; n = u + 12; r = s + 17; u = q + 13; j = i + 10; t = r + 4; s = d + 2. Given that q = 12, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"x": "w + 15", "n": "x + 11", "s": "n + 1", "u": "s + 15", "l": "u + 14", "g": "l + 20", "b": "w + 16", "z": "b + 19", "y": "z + 8", "r": "y + 1", "c": "r + 15", "d": "c + 19", "w": 15}, "premises": {"w": 15}, "target": "g"}, "answer": {"steps": [["l", "u + 14", "u + 34"], ["u", "s + 15", "s + 49"], ["s", "n + 1", "n + 50"], ["n", "x + 11", "x + 61"], ["x", "w + 15", "w + 76"], ["w", 15, "91"]], "target_var_name": "g", "target_value": 91, "value_dict": {"w": 15}, "is_reverse": true}} | 8,791 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = n + 1; c = r + 15; r = y + 1; u = s + 15; y = z + 8; z = b + 19; b = w + 16; n = x + 11; w = 15; g = l + 20; l = u + 14; x = w + 15; d = c + 19. Given that w = 15, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = u + 14 to g, which gives g = u + 34.\n2. Substitute u = s + 15 to g, which gives g = s + 49.\n3. Substitute s = n + 1 to g, which gives g = n + 50.\n4. Substitute n = x + 11 to g, which gives g = x + 61.\n5. Substitute x = w + 15 to g, which gives g = w + 76.\n6. Substitute w = 15 to g, which gives g = 91.\n\nThus, the final answer is g = \\boxed{91}.",
"index": 8791,
"question": "Suppose a collection of variables is related by the following definitions: s = n + 1; c = r + 15; r = y + 1; u = s + 15; y = z + 8; z = b + 19; b = w + 16; n = x + 11; w = 15; g = l + 20; l = u + 14; x = w + 15; d = c + 19. Given that w = 15, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"b": "a + 12", "k": "b + 14", "u": "k + 11", "y": "u + 18", "c": "y + 1", "l": "c + 12", "f": "a + 16", "r": "f + 1", "e": "r + 15", "p": "e + 15", "q": "p + 12", "z": "q + 5", "a": 10}, "premises": {"a": 10}, "target": "l"}, "answer": {"steps": [["c", "y + 1", "y + 13"], ["y", "u + 18", "u + 31"], ["u", "k + 11", "k + 42"], ["k", "b + 14", "b + 56"], ["b", "a + 12", "a + 68"], ["a", 10, "78"]], "target_var_name": "l", "target_value": 78, "value_dict": {"a": 10}, "is_reverse": true}} | 8,792 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = 10; z = q + 5; p = e + 15; b = a + 12; k = b + 14; f = a + 16; y = u + 18; q = p + 12; c = y + 1; r = f + 1; l = c + 12; u = k + 11; e = r + 15. If a = 10, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = y + 1 to l, which gives l = y + 13.\n2. Substitute y = u + 18 to l, which gives l = u + 31.\n3. Substitute u = k + 11 to l, which gives l = k + 42.\n4. Substitute k = b + 14 to l, which gives l = b + 56.\n5. Substitute b = a + 12 to l, which gives l = a + 68.\n6. Substitute a = 10 to l, which gives l = 78.\n\nThus, the final answer is l = \\boxed{78}.",
"index": 8792,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = 10; z = q + 5; p = e + 15; b = a + 12; k = b + 14; f = a + 16; y = u + 18; q = p + 12; c = y + 1; r = f + 1; l = c + 12; u = k + 11; e = r + 15. If a = 10, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"p": "l + 15", "x": "p + 7", "e": "x + 10", "r": "e + 20", "o": "r + 2", "t": "o + 6", "v": "l + 12", "n": "v + 4", "a": "n + 2", "z": "a + 6", "f": "z + 20", "b": "f + 12", "l": 12}, "premises": {"l": 12}, "target": "t"}, "answer": {"steps": [["o", "r + 2", "r + 8"], ["r", "e + 20", "e + 28"], ["e", "x + 10", "x + 38"], ["x", "p + 7", "p + 45"], ["p", "l + 15", "l + 60"], ["l", 12, "72"]], "target_var_name": "t", "target_value": 72, "value_dict": {"l": 12}, "is_reverse": true}} | 8,793 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = v + 4; r = e + 20; b = f + 12; t = o + 6; x = p + 7; a = n + 2; z = a + 6; v = l + 12; l = 12; e = x + 10; p = l + 15; o = r + 2; f = z + 20. Given that l = 12, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = r + 2 to t, which gives t = r + 8.\n2. Substitute r = e + 20 to t, which gives t = e + 28.\n3. Substitute e = x + 10 to t, which gives t = x + 38.\n4. Substitute x = p + 7 to t, which gives t = p + 45.\n5. Substitute p = l + 15 to t, which gives t = l + 60.\n6. Substitute l = 12 to t, which gives t = 72.\n\nThus, the final answer is t = \\boxed{72}.",
"index": 8793,
"question": "Suppose a collection of variables is related by the following definitions: n = v + 4; r = e + 20; b = f + 12; t = o + 6; x = p + 7; a = n + 2; z = a + 6; v = l + 12; l = 12; e = x + 10; p = l + 15; o = r + 2; f = z + 20. Given that l = 12, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"v": "n + 20", "y": "v + 20", "j": "y + 2", "d": "j + 19", "s": "d + 20", "i": "s + 10", "a": "n + 20", "h": "a + 9", "k": "h + 17", "p": "k + 5", "r": "p + 13", "l": "r + 2", "n": 4}, "premises": {"n": 4}, "target": "i"}, "answer": {"steps": [["s", "d + 20", "d + 30"], ["d", "j + 19", "j + 49"], ["j", "y + 2", "y + 51"], ["y", "v + 20", "v + 71"], ["v", "n + 20", "n + 91"], ["n", 4, "95"]], "target_var_name": "i", "target_value": 95, "value_dict": {"n": 4}, "is_reverse": true}} | 8,794 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = n + 20; p = k + 5; k = h + 17; l = r + 2; j = y + 2; n = 4; v = n + 20; s = d + 20; h = a + 9; i = s + 10; r = p + 13; y = v + 20; d = j + 19. Given that n = 4, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = d + 20 to i, which gives i = d + 30.\n2. Substitute d = j + 19 to i, which gives i = j + 49.\n3. Substitute j = y + 2 to i, which gives i = y + 51.\n4. Substitute y = v + 20 to i, which gives i = v + 71.\n5. Substitute v = n + 20 to i, which gives i = n + 91.\n6. Substitute n = 4 to i, which gives i = 95.\n\nThus, the final answer is i = \\boxed{95}.",
"index": 8794,
"question": "Suppose a collection of variables is related by the following definitions: a = n + 20; p = k + 5; k = h + 17; l = r + 2; j = y + 2; n = 4; v = n + 20; s = d + 20; h = a + 9; i = s + 10; r = p + 13; y = v + 20; d = j + 19. Given that n = 4, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"s": "p + 9", "i": "s + 13", "f": "i + 4", "t": "f + 20", "n": "t + 16", "e": "n + 1", "y": "p + 9", "a": "y + 18", "o": "a + 14", "z": "o + 10", "u": "z + 7", "d": "u + 11", "p": 5}, "premises": {"p": 5}, "target": "e"}, "answer": {"steps": [["n", "t + 16", "t + 17"], ["t", "f + 20", "f + 37"], ["f", "i + 4", "i + 41"], ["i", "s + 13", "s + 54"], ["s", "p + 9", "p + 63"], ["p", 5, "68"]], "target_var_name": "e", "target_value": 68, "value_dict": {"p": 5}, "is_reverse": true}} | 8,795 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = a + 14; i = s + 13; d = u + 11; t = f + 20; z = o + 10; e = n + 1; u = z + 7; s = p + 9; a = y + 18; n = t + 16; f = i + 4; y = p + 9; p = 5. Given that p = 5, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = t + 16 to e, which gives e = t + 17.\n2. Substitute t = f + 20 to e, which gives e = f + 37.\n3. Substitute f = i + 4 to e, which gives e = i + 41.\n4. Substitute i = s + 13 to e, which gives e = s + 54.\n5. Substitute s = p + 9 to e, which gives e = p + 63.\n6. Substitute p = 5 to e, which gives e = 68.\n\nThus, the final answer is e = \\boxed{68}.",
"index": 8795,
"question": "Suppose a collection of variables is related by the following definitions: o = a + 14; i = s + 13; d = u + 11; t = f + 20; z = o + 10; e = n + 1; u = z + 7; s = p + 9; a = y + 18; n = t + 16; f = i + 4; y = p + 9; p = 5. Given that p = 5, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"z": "p + 6", "s": "z + 7", "i": "s + 20", "b": "i + 9", "c": "b + 1", "o": "c + 18", "r": "p + 14", "d": "r + 16", "e": "d + 19", "n": "e + 11", "l": "n + 7", "f": "l + 6", "p": 5}, "premises": {"p": 5}, "target": "o"}, "answer": {"steps": [["c", "b + 1", "b + 19"], ["b", "i + 9", "i + 28"], ["i", "s + 20", "s + 48"], ["s", "z + 7", "z + 55"], ["z", "p + 6", "p + 61"], ["p", 5, "66"]], "target_var_name": "o", "target_value": 66, "value_dict": {"p": 5}, "is_reverse": true}} | 8,796 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = r + 16; n = e + 11; f = l + 6; b = i + 9; z = p + 6; e = d + 19; l = n + 7; r = p + 14; p = 5; i = s + 20; s = z + 7; c = b + 1; o = c + 18. If p = 5, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = b + 1 to o, which gives o = b + 19.\n2. Substitute b = i + 9 to o, which gives o = i + 28.\n3. Substitute i = s + 20 to o, which gives o = s + 48.\n4. Substitute s = z + 7 to o, which gives o = z + 55.\n5. Substitute z = p + 6 to o, which gives o = p + 61.\n6. Substitute p = 5 to o, which gives o = 66.\n\nThus, the final answer is o = \\boxed{66}.",
"index": 8796,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = r + 16; n = e + 11; f = l + 6; b = i + 9; z = p + 6; e = d + 19; l = n + 7; r = p + 14; p = 5; i = s + 20; s = z + 7; c = b + 1; o = c + 18. If p = 5, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"g": "h + 17", "f": "g + 7", "e": "f + 10", "z": "e + 3", "j": "z + 7", "m": "j + 6", "o": "h + 5", "s": "o + 8", "r": "s + 14", "d": "r + 20", "t": "d + 8", "a": "t + 5", "h": 2}, "premises": {"h": 2}, "target": "m"}, "answer": {"steps": [["j", "z + 7", "z + 13"], ["z", "e + 3", "e + 16"], ["e", "f + 10", "f + 26"], ["f", "g + 7", "g + 33"], ["g", "h + 17", "h + 50"], ["h", 2, "52"]], "target_var_name": "m", "target_value": 52, "value_dict": {"h": 2}, "is_reverse": true}} | 8,797 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = t + 5; z = e + 3; e = f + 10; r = s + 14; f = g + 7; s = o + 8; d = r + 20; m = j + 6; o = h + 5; j = z + 7; t = d + 8; h = 2; g = h + 17. Given that h = 2, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = z + 7 to m, which gives m = z + 13.\n2. Substitute z = e + 3 to m, which gives m = e + 16.\n3. Substitute e = f + 10 to m, which gives m = f + 26.\n4. Substitute f = g + 7 to m, which gives m = g + 33.\n5. Substitute g = h + 17 to m, which gives m = h + 50.\n6. Substitute h = 2 to m, which gives m = 52.\n\nThus, the final answer is m = \\boxed{52}.",
"index": 8797,
"question": "Suppose a collection of variables is related by the following definitions: a = t + 5; z = e + 3; e = f + 10; r = s + 14; f = g + 7; s = o + 8; d = r + 20; m = j + 6; o = h + 5; j = z + 7; t = d + 8; h = 2; g = h + 17. Given that h = 2, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"u": "b + 18", "n": "u + 13", "t": "n + 13", "e": "t + 9", "d": "e + 11", "z": "d + 18", "p": "b + 7", "k": "p + 15", "r": "k + 12", "c": "r + 2", "q": "c + 7", "m": "q + 14", "b": 6}, "premises": {"b": 6}, "target": "z"}, "answer": {"steps": [["d", "e + 11", "e + 29"], ["e", "t + 9", "t + 38"], ["t", "n + 13", "n + 51"], ["n", "u + 13", "u + 64"], ["u", "b + 18", "b + 82"], ["b", 6, "88"]], "target_var_name": "z", "target_value": 88, "value_dict": {"b": 6}, "is_reverse": true}} | 8,798 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = q + 14; q = c + 7; t = n + 13; n = u + 13; e = t + 9; p = b + 7; b = 6; d = e + 11; r = k + 12; z = d + 18; k = p + 15; c = r + 2; u = b + 18. If b = 6, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = e + 11 to z, which gives z = e + 29.\n2. Substitute e = t + 9 to z, which gives z = t + 38.\n3. Substitute t = n + 13 to z, which gives z = n + 51.\n4. Substitute n = u + 13 to z, which gives z = u + 64.\n5. Substitute u = b + 18 to z, which gives z = b + 82.\n6. Substitute b = 6 to z, which gives z = 88.\n\nThus, the final answer is z = \\boxed{88}.",
"index": 8798,
"question": "Consider a system of variables where each variable is defined as follows: m = q + 14; q = c + 7; t = n + 13; n = u + 13; e = t + 9; p = b + 7; b = 6; d = e + 11; r = k + 12; z = d + 18; k = p + 15; c = r + 2; u = b + 18. If b = 6, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"f": "m + 17", "o": "f + 4", "z": "o + 13", "p": "z + 3", "i": "p + 2", "b": "i + 2", "y": "m + 7", "c": "y + 8", "r": "c + 16", "w": "r + 7", "l": "w + 12", "t": "l + 4", "m": 12}, "premises": {"m": 12}, "target": "b"}, "answer": {"steps": [["i", "p + 2", "p + 4"], ["p", "z + 3", "z + 7"], ["z", "o + 13", "o + 20"], ["o", "f + 4", "f + 24"], ["f", "m + 17", "m + 41"], ["m", 12, "53"]], "target_var_name": "b", "target_value": 53, "value_dict": {"m": 12}, "is_reverse": true}} | 8,799 | 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 = c + 16; l = w + 12; p = z + 3; c = y + 8; i = p + 2; y = m + 7; w = r + 7; o = f + 4; t = l + 4; z = o + 13; m = 12; b = i + 2; f = m + 17. If m = 12, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = p + 2 to b, which gives b = p + 4.\n2. Substitute p = z + 3 to b, which gives b = z + 7.\n3. Substitute z = o + 13 to b, which gives b = o + 20.\n4. Substitute o = f + 4 to b, which gives b = f + 24.\n5. Substitute f = m + 17 to b, which gives b = m + 41.\n6. Substitute m = 12 to b, which gives b = 53.\n\nThus, the final answer is b = \\boxed{53}.",
"index": 8799,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = c + 16; l = w + 12; p = z + 3; c = y + 8; i = p + 2; y = m + 7; w = r + 7; o = f + 4; t = l + 4; z = o + 13; m = 12; b = i + 2; f = m + 17. If m = 12, what is the resulting value of b?",
"split": "train"
} |
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