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": {"y": "j + 1", "z": "y + 9", "n": "z + 10", "c": "n + 20", "l": "c + 15", "q": "l + 13", "u": "j + 7", "h": "u + 17", "w": "h + 11", "m": "w + 7", "s": "m + 7", "t": "s + 7", "j": 4}, "premises": {"j": 4}, "target": "q"}, "answer": {"steps": [["l", "c + 15", "c + 28"], ["c", "n + 20", "n + 48"], ["n", "z + 10", "z + 58"], ["z", "y + 9", "y + 67"], ["y", "j + 1", "j + 68"], ["j", 4, "72"]], "target_var_name": "q", "target_value": 72, "value_dict": {"j": 4}, "is_reverse": true}} | 9,500 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = l + 13; y = j + 1; l = c + 15; h = u + 17; u = j + 7; z = y + 9; m = w + 7; j = 4; w = h + 11; n = z + 10; t = s + 7; c = n + 20; s = m + 7. If j = 4, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = c + 15 to q, which gives q = c + 28.\n2. Substitute c = n + 20 to q, which gives q = n + 48.\n3. Substitute n = z + 10 to q, which gives q = z + 58.\n4. Substitute z = y + 9 to q, which gives q = y + 67.\n5. Substitute y = j + 1 to q, which gives q = j + 68.\n6. Substitute j = 4 to q, which gives q = 72.\n\nThus, the final answer is q = \\boxed{72}.",
"index": 9500,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = l + 13; y = j + 1; l = c + 15; h = u + 17; u = j + 7; z = y + 9; m = w + 7; j = 4; w = h + 11; n = z + 10; t = s + 7; c = n + 20; s = m + 7. If j = 4, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"w": "q + 11", "y": "w + 18", "c": "y + 4", "g": "c + 5", "j": "g + 7", "k": "j + 14", "i": "q + 15", "l": "i + 4", "r": "l + 13", "h": "r + 13", "b": "h + 12", "u": "b + 17", "q": 12}, "premises": {"q": 12}, "target": "k"}, "answer": {"steps": [["j", "g + 7", "g + 21"], ["g", "c + 5", "c + 26"], ["c", "y + 4", "y + 30"], ["y", "w + 18", "w + 48"], ["w", "q + 11", "q + 59"], ["q", 12, "71"]], "target_var_name": "k", "target_value": 71, "value_dict": {"q": 12}, "is_reverse": true}} | 9,501 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = b + 17; l = i + 4; g = c + 5; y = w + 18; c = y + 4; b = h + 12; h = r + 13; i = q + 15; r = l + 13; q = 12; w = q + 11; k = j + 14; j = g + 7. If q = 12, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = g + 7 to k, which gives k = g + 21.\n2. Substitute g = c + 5 to k, which gives k = c + 26.\n3. Substitute c = y + 4 to k, which gives k = y + 30.\n4. Substitute y = w + 18 to k, which gives k = w + 48.\n5. Substitute w = q + 11 to k, which gives k = q + 59.\n6. Substitute q = 12 to k, which gives k = 71.\n\nThus, the final answer is k = \\boxed{71}.",
"index": 9501,
"question": "Consider a system of variables where each variable is defined as follows: u = b + 17; l = i + 4; g = c + 5; y = w + 18; c = y + 4; b = h + 12; h = r + 13; i = q + 15; r = l + 13; q = 12; w = q + 11; k = j + 14; j = g + 7. If q = 12, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"e": "t + 7", "n": "e + 11", "j": "n + 5", "r": "j + 9", "w": "r + 20", "u": "w + 1", "c": "t + 10", "k": "c + 9", "i": "k + 4", "o": "i + 12", "z": "o + 8", "b": "z + 5", "t": 18}, "premises": {"t": 18}, "target": "u"}, "answer": {"steps": [["w", "r + 20", "r + 21"], ["r", "j + 9", "j + 30"], ["j", "n + 5", "n + 35"], ["n", "e + 11", "e + 46"], ["e", "t + 7", "t + 53"], ["t", 18, "71"]], "target_var_name": "u", "target_value": 71, "value_dict": {"t": 18}, "is_reverse": true}} | 9,502 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = n + 5; o = i + 12; u = w + 1; e = t + 7; n = e + 11; z = o + 8; k = c + 9; b = z + 5; t = 18; c = t + 10; i = k + 4; w = r + 20; r = j + 9. If t = 18, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = r + 20 to u, which gives u = r + 21.\n2. Substitute r = j + 9 to u, which gives u = j + 30.\n3. Substitute j = n + 5 to u, which gives u = n + 35.\n4. Substitute n = e + 11 to u, which gives u = e + 46.\n5. Substitute e = t + 7 to u, which gives u = t + 53.\n6. Substitute t = 18 to u, which gives u = 71.\n\nThus, the final answer is u = \\boxed{71}.",
"index": 9502,
"question": "Consider a system of variables where each variable is defined as follows: j = n + 5; o = i + 12; u = w + 1; e = t + 7; n = e + 11; z = o + 8; k = c + 9; b = z + 5; t = 18; c = t + 10; i = k + 4; w = r + 20; r = j + 9. If t = 18, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"w": "y + 3", "n": "w + 15", "o": "n + 13", "f": "o + 8", "d": "f + 9", "t": "d + 4", "i": "y + 4", "z": "i + 17", "v": "z + 8", "x": "v + 18", "q": "x + 9", "k": "q + 8", "y": 11}, "premises": {"y": 11}, "target": "t"}, "answer": {"steps": [["d", "f + 9", "f + 13"], ["f", "o + 8", "o + 21"], ["o", "n + 13", "n + 34"], ["n", "w + 15", "w + 49"], ["w", "y + 3", "y + 52"], ["y", 11, "63"]], "target_var_name": "t", "target_value": 63, "value_dict": {"y": 11}, "is_reverse": true}} | 9,503 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = w + 15; q = x + 9; x = v + 18; z = i + 17; t = d + 4; w = y + 3; k = q + 8; d = f + 9; y = 11; o = n + 13; v = z + 8; f = o + 8; i = y + 4. If y = 11, what is the resulting value of t?",
"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 + 9 to t, which gives t = f + 13.\n2. Substitute f = o + 8 to t, which gives t = o + 21.\n3. Substitute o = n + 13 to t, which gives t = n + 34.\n4. Substitute n = w + 15 to t, which gives t = w + 49.\n5. Substitute w = y + 3 to t, which gives t = y + 52.\n6. Substitute y = 11 to t, which gives t = 63.\n\nThus, the final answer is t = \\boxed{63}.",
"index": 9503,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = w + 15; q = x + 9; x = v + 18; z = i + 17; t = d + 4; w = y + 3; k = q + 8; d = f + 9; y = 11; o = n + 13; v = z + 8; f = o + 8; i = y + 4. If y = 11, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"v": "n + 3", "u": "v + 9", "f": "u + 2", "b": "f + 6", "q": "b + 11", "h": "q + 4", "l": "n + 3", "i": "l + 2", "w": "i + 13", "r": "w + 3", "z": "r + 20", "d": "z + 5", "n": 3}, "premises": {"n": 3}, "target": "h"}, "answer": {"steps": [["q", "b + 11", "b + 15"], ["b", "f + 6", "f + 21"], ["f", "u + 2", "u + 23"], ["u", "v + 9", "v + 32"], ["v", "n + 3", "n + 35"], ["n", 3, "38"]], "target_var_name": "h", "target_value": 38, "value_dict": {"n": 3}, "is_reverse": true}} | 9,504 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = v + 9; w = i + 13; h = q + 4; b = f + 6; i = l + 2; r = w + 3; l = n + 3; f = u + 2; v = n + 3; n = 3; d = z + 5; q = b + 11; z = r + 20. If n = 3, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 38,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = b + 11 to h, which gives h = b + 15.\n2. Substitute b = f + 6 to h, which gives h = f + 21.\n3. Substitute f = u + 2 to h, which gives h = u + 23.\n4. Substitute u = v + 9 to h, which gives h = v + 32.\n5. Substitute v = n + 3 to h, which gives h = n + 35.\n6. Substitute n = 3 to h, which gives h = 38.\n\nThus, the final answer is h = \\boxed{38}.",
"index": 9504,
"question": "Consider a system of variables where each variable is defined as follows: u = v + 9; w = i + 13; h = q + 4; b = f + 6; i = l + 2; r = w + 3; l = n + 3; f = u + 2; v = n + 3; n = 3; d = z + 5; q = b + 11; z = r + 20. If n = 3, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"z": "k + 2", "o": "z + 19", "g": "o + 16", "u": "g + 12", "x": "u + 8", "l": "x + 17", "e": "k + 20", "q": "e + 18", "b": "q + 16", "y": "b + 2", "w": "y + 17", "r": "w + 3", "k": 17}, "premises": {"k": 17}, "target": "l"}, "answer": {"steps": [["x", "u + 8", "u + 25"], ["u", "g + 12", "g + 37"], ["g", "o + 16", "o + 53"], ["o", "z + 19", "z + 72"], ["z", "k + 2", "k + 74"], ["k", 17, "91"]], "target_var_name": "l", "target_value": 91, "value_dict": {"k": 17}, "is_reverse": true}} | 9,505 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = x + 17; q = e + 18; g = o + 16; b = q + 16; x = u + 8; e = k + 20; w = y + 17; k = 17; u = g + 12; r = w + 3; z = k + 2; o = z + 19; y = b + 2. Given that k = 17, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = u + 8 to l, which gives l = u + 25.\n2. Substitute u = g + 12 to l, which gives l = g + 37.\n3. Substitute g = o + 16 to l, which gives l = o + 53.\n4. Substitute o = z + 19 to l, which gives l = z + 72.\n5. Substitute z = k + 2 to l, which gives l = k + 74.\n6. Substitute k = 17 to l, which gives l = 91.\n\nThus, the final answer is l = \\boxed{91}.",
"index": 9505,
"question": "Suppose a collection of variables is related by the following definitions: l = x + 17; q = e + 18; g = o + 16; b = q + 16; x = u + 8; e = k + 20; w = y + 17; k = 17; u = g + 12; r = w + 3; z = k + 2; o = z + 19; y = b + 2. Given that k = 17, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"m": "p + 11", "e": "m + 10", "b": "e + 11", "y": "b + 10", "z": "y + 15", "f": "z + 16", "x": "p + 7", "o": "x + 3", "i": "o + 10", "h": "i + 3", "a": "h + 11", "g": "a + 18", "p": 15}, "premises": {"p": 15}, "target": "f"}, "answer": {"steps": [["z", "y + 15", "y + 31"], ["y", "b + 10", "b + 41"], ["b", "e + 11", "e + 52"], ["e", "m + 10", "m + 62"], ["m", "p + 11", "p + 73"], ["p", 15, "88"]], "target_var_name": "f", "target_value": 88, "value_dict": {"p": 15}, "is_reverse": true}} | 9,506 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = x + 3; a = h + 11; h = i + 3; m = p + 11; i = o + 10; z = y + 15; b = e + 11; p = 15; y = b + 10; g = a + 18; x = p + 7; f = z + 16; e = m + 10. If p = 15, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = y + 15 to f, which gives f = y + 31.\n2. Substitute y = b + 10 to f, which gives f = b + 41.\n3. Substitute b = e + 11 to f, which gives f = e + 52.\n4. Substitute e = m + 10 to f, which gives f = m + 62.\n5. Substitute m = p + 11 to f, which gives f = p + 73.\n6. Substitute p = 15 to f, which gives f = 88.\n\nThus, the final answer is f = \\boxed{88}.",
"index": 9506,
"question": "Consider a system of variables where each variable is defined as follows: o = x + 3; a = h + 11; h = i + 3; m = p + 11; i = o + 10; z = y + 15; b = e + 11; p = 15; y = b + 10; g = a + 18; x = p + 7; f = z + 16; e = m + 10. If p = 15, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"n": "h + 4", "i": "n + 10", "o": "i + 18", "x": "o + 11", "w": "x + 8", "f": "w + 2", "a": "h + 19", "k": "a + 20", "p": "k + 19", "z": "p + 2", "r": "z + 19", "s": "r + 8", "h": 19}, "premises": {"h": 19}, "target": "f"}, "answer": {"steps": [["w", "x + 8", "x + 10"], ["x", "o + 11", "o + 21"], ["o", "i + 18", "i + 39"], ["i", "n + 10", "n + 49"], ["n", "h + 4", "h + 53"], ["h", 19, "72"]], "target_var_name": "f", "target_value": 72, "value_dict": {"h": 19}, "is_reverse": true}} | 9,507 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = h + 4; w = x + 8; o = i + 18; h = 19; r = z + 19; s = r + 8; x = o + 11; a = h + 19; p = k + 19; i = n + 10; f = w + 2; z = p + 2; k = a + 20. If h = 19, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = x + 8 to f, which gives f = x + 10.\n2. Substitute x = o + 11 to f, which gives f = o + 21.\n3. Substitute o = i + 18 to f, which gives f = i + 39.\n4. Substitute i = n + 10 to f, which gives f = n + 49.\n5. Substitute n = h + 4 to f, which gives f = h + 53.\n6. Substitute h = 19 to f, which gives f = 72.\n\nThus, the final answer is f = \\boxed{72}.",
"index": 9507,
"question": "Consider a system of variables where each variable is defined as follows: n = h + 4; w = x + 8; o = i + 18; h = 19; r = z + 19; s = r + 8; x = o + 11; a = h + 19; p = k + 19; i = n + 10; f = w + 2; z = p + 2; k = a + 20. If h = 19, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"k": "j + 1", "c": "k + 2", "f": "c + 5", "v": "f + 15", "y": "v + 5", "h": "y + 2", "l": "j + 8", "p": "l + 6", "g": "p + 7", "w": "g + 7", "n": "w + 3", "q": "n + 14", "j": 20}, "premises": {"j": 20}, "target": "h"}, "answer": {"steps": [["y", "v + 5", "v + 7"], ["v", "f + 15", "f + 22"], ["f", "c + 5", "c + 27"], ["c", "k + 2", "k + 29"], ["k", "j + 1", "j + 30"], ["j", 20, "50"]], "target_var_name": "h", "target_value": 50, "value_dict": {"j": 20}, "is_reverse": true}} | 9,508 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = y + 2; v = f + 15; q = n + 14; g = p + 7; f = c + 5; w = g + 7; y = v + 5; n = w + 3; c = k + 2; j = 20; l = j + 8; p = l + 6; k = j + 1. If j = 20, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = v + 5 to h, which gives h = v + 7.\n2. Substitute v = f + 15 to h, which gives h = f + 22.\n3. Substitute f = c + 5 to h, which gives h = c + 27.\n4. Substitute c = k + 2 to h, which gives h = k + 29.\n5. Substitute k = j + 1 to h, which gives h = j + 30.\n6. Substitute j = 20 to h, which gives h = 50.\n\nThus, the final answer is h = \\boxed{50}.",
"index": 9508,
"question": "Consider a system of variables where each variable is defined as follows: h = y + 2; v = f + 15; q = n + 14; g = p + 7; f = c + 5; w = g + 7; y = v + 5; n = w + 3; c = k + 2; j = 20; l = j + 8; p = l + 6; k = j + 1. If j = 20, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"w": "v + 8", "p": "w + 10", "o": "p + 18", "c": "o + 3", "g": "c + 6", "j": "g + 2", "y": "v + 10", "q": "y + 13", "a": "q + 1", "x": "a + 14", "z": "x + 11", "d": "z + 13", "v": 15}, "premises": {"v": 15}, "target": "j"}, "answer": {"steps": [["g", "c + 6", "c + 8"], ["c", "o + 3", "o + 11"], ["o", "p + 18", "p + 29"], ["p", "w + 10", "w + 39"], ["w", "v + 8", "v + 47"], ["v", 15, "62"]], "target_var_name": "j", "target_value": 62, "value_dict": {"v": 15}, "is_reverse": true}} | 9,509 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = v + 8; g = c + 6; x = a + 14; d = z + 13; z = x + 11; q = y + 13; p = w + 10; v = 15; c = o + 3; a = q + 1; y = v + 10; j = g + 2; o = p + 18. If v = 15, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = c + 6 to j, which gives j = c + 8.\n2. Substitute c = o + 3 to j, which gives j = o + 11.\n3. Substitute o = p + 18 to j, which gives j = p + 29.\n4. Substitute p = w + 10 to j, which gives j = w + 39.\n5. Substitute w = v + 8 to j, which gives j = v + 47.\n6. Substitute v = 15 to j, which gives j = 62.\n\nThus, the final answer is j = \\boxed{62}.",
"index": 9509,
"question": "Consider a system of variables where each variable is defined as follows: w = v + 8; g = c + 6; x = a + 14; d = z + 13; z = x + 11; q = y + 13; p = w + 10; v = 15; c = o + 3; a = q + 1; y = v + 10; j = g + 2; o = p + 18. If v = 15, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"d": "n + 2", "w": "d + 14", "e": "w + 13", "c": "e + 11", "f": "c + 7", "s": "f + 17", "h": "n + 4", "k": "h + 6", "z": "k + 6", "q": "z + 2", "i": "q + 10", "j": "i + 13", "n": 13}, "premises": {"n": 13}, "target": "s"}, "answer": {"steps": [["f", "c + 7", "c + 24"], ["c", "e + 11", "e + 35"], ["e", "w + 13", "w + 48"], ["w", "d + 14", "d + 62"], ["d", "n + 2", "n + 64"], ["n", 13, "77"]], "target_var_name": "s", "target_value": 77, "value_dict": {"n": 13}, "is_reverse": true}} | 9,510 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = w + 13; d = n + 2; f = c + 7; w = d + 14; c = e + 11; i = q + 10; h = n + 4; n = 13; z = k + 6; q = z + 2; k = h + 6; j = i + 13; s = f + 17. Given that n = 13, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = c + 7 to s, which gives s = c + 24.\n2. Substitute c = e + 11 to s, which gives s = e + 35.\n3. Substitute e = w + 13 to s, which gives s = w + 48.\n4. Substitute w = d + 14 to s, which gives s = d + 62.\n5. Substitute d = n + 2 to s, which gives s = n + 64.\n6. Substitute n = 13 to s, which gives s = 77.\n\nThus, the final answer is s = \\boxed{77}.",
"index": 9510,
"question": "Suppose a collection of variables is related by the following definitions: e = w + 13; d = n + 2; f = c + 7; w = d + 14; c = e + 11; i = q + 10; h = n + 4; n = 13; z = k + 6; q = z + 2; k = h + 6; j = i + 13; s = f + 17. Given that n = 13, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"p": "x + 3", "y": "p + 15", "k": "y + 5", "m": "k + 8", "d": "m + 16", "c": "d + 5", "o": "x + 16", "u": "o + 1", "n": "u + 4", "b": "n + 3", "i": "b + 17", "a": "i + 14", "x": 10}, "premises": {"x": 10}, "target": "c"}, "answer": {"steps": [["d", "m + 16", "m + 21"], ["m", "k + 8", "k + 29"], ["k", "y + 5", "y + 34"], ["y", "p + 15", "p + 49"], ["p", "x + 3", "x + 52"], ["x", 10, "62"]], "target_var_name": "c", "target_value": 62, "value_dict": {"x": 10}, "is_reverse": true}} | 9,511 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = x + 16; d = m + 16; i = b + 17; a = i + 14; x = 10; k = y + 5; c = d + 5; m = k + 8; u = o + 1; y = p + 15; p = x + 3; n = u + 4; b = n + 3. Given that x = 10, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = m + 16 to c, which gives c = m + 21.\n2. Substitute m = k + 8 to c, which gives c = k + 29.\n3. Substitute k = y + 5 to c, which gives c = y + 34.\n4. Substitute y = p + 15 to c, which gives c = p + 49.\n5. Substitute p = x + 3 to c, which gives c = x + 52.\n6. Substitute x = 10 to c, which gives c = 62.\n\nThus, the final answer is c = \\boxed{62}.",
"index": 9511,
"question": "Suppose a collection of variables is related by the following definitions: o = x + 16; d = m + 16; i = b + 17; a = i + 14; x = 10; k = y + 5; c = d + 5; m = k + 8; u = o + 1; y = p + 15; p = x + 3; n = u + 4; b = n + 3. Given that x = 10, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"h": "l + 8", "n": "h + 3", "w": "n + 11", "o": "w + 20", "g": "o + 5", "a": "g + 7", "b": "l + 7", "e": "b + 18", "f": "e + 19", "j": "f + 4", "z": "j + 12", "y": "z + 14", "l": 14}, "premises": {"l": 14}, "target": "a"}, "answer": {"steps": [["g", "o + 5", "o + 12"], ["o", "w + 20", "w + 32"], ["w", "n + 11", "n + 43"], ["n", "h + 3", "h + 46"], ["h", "l + 8", "l + 54"], ["l", 14, "68"]], "target_var_name": "a", "target_value": 68, "value_dict": {"l": 14}, "is_reverse": true}} | 9,512 | 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 = g + 7; j = f + 4; l = 14; w = n + 11; f = e + 19; n = h + 3; h = l + 8; b = l + 7; g = o + 5; y = z + 14; o = w + 20; z = j + 12; e = b + 18. If l = 14, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = o + 5 to a, which gives a = o + 12.\n2. Substitute o = w + 20 to a, which gives a = w + 32.\n3. Substitute w = n + 11 to a, which gives a = n + 43.\n4. Substitute n = h + 3 to a, which gives a = h + 46.\n5. Substitute h = l + 8 to a, which gives a = l + 54.\n6. Substitute l = 14 to a, which gives a = 68.\n\nThus, the final answer is a = \\boxed{68}.",
"index": 9512,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = g + 7; j = f + 4; l = 14; w = n + 11; f = e + 19; n = h + 3; h = l + 8; b = l + 7; g = o + 5; y = z + 14; o = w + 20; z = j + 12; e = b + 18. If l = 14, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"k": "n + 8", "r": "k + 3", "u": "r + 10", "s": "u + 15", "h": "s + 13", "x": "h + 8", "q": "n + 5", "p": "q + 14", "d": "p + 6", "j": "d + 9", "w": "j + 12", "m": "w + 20", "n": 6}, "premises": {"n": 6}, "target": "x"}, "answer": {"steps": [["h", "s + 13", "s + 21"], ["s", "u + 15", "u + 36"], ["u", "r + 10", "r + 46"], ["r", "k + 3", "k + 49"], ["k", "n + 8", "n + 57"], ["n", 6, "63"]], "target_var_name": "x", "target_value": 63, "value_dict": {"n": 6}, "is_reverse": true}} | 9,513 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = n + 5; x = h + 8; m = w + 20; j = d + 9; n = 6; p = q + 14; u = r + 10; s = u + 15; r = k + 3; d = p + 6; k = n + 8; h = s + 13; w = j + 12. If n = 6, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = s + 13 to x, which gives x = s + 21.\n2. Substitute s = u + 15 to x, which gives x = u + 36.\n3. Substitute u = r + 10 to x, which gives x = r + 46.\n4. Substitute r = k + 3 to x, which gives x = k + 49.\n5. Substitute k = n + 8 to x, which gives x = n + 57.\n6. Substitute n = 6 to x, which gives x = 63.\n\nThus, the final answer is x = \\boxed{63}.",
"index": 9513,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = n + 5; x = h + 8; m = w + 20; j = d + 9; n = 6; p = q + 14; u = r + 10; s = u + 15; r = k + 3; d = p + 6; k = n + 8; h = s + 13; w = j + 12. If n = 6, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"l": "v + 19", "a": "l + 12", "t": "a + 2", "e": "t + 14", "d": "e + 8", "f": "d + 6", "p": "v + 18", "w": "p + 17", "o": "w + 14", "j": "o + 20", "m": "j + 2", "c": "m + 20", "v": 18}, "premises": {"v": 18}, "target": "f"}, "answer": {"steps": [["d", "e + 8", "e + 14"], ["e", "t + 14", "t + 28"], ["t", "a + 2", "a + 30"], ["a", "l + 12", "l + 42"], ["l", "v + 19", "v + 61"], ["v", 18, "79"]], "target_var_name": "f", "target_value": 79, "value_dict": {"v": 18}, "is_reverse": true}} | 9,514 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = v + 18; l = v + 19; m = j + 2; t = a + 2; f = d + 6; c = m + 20; a = l + 12; j = o + 20; e = t + 14; o = w + 14; d = e + 8; v = 18; w = p + 17. If v = 18, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = e + 8 to f, which gives f = e + 14.\n2. Substitute e = t + 14 to f, which gives f = t + 28.\n3. Substitute t = a + 2 to f, which gives f = a + 30.\n4. Substitute a = l + 12 to f, which gives f = l + 42.\n5. Substitute l = v + 19 to f, which gives f = v + 61.\n6. Substitute v = 18 to f, which gives f = 79.\n\nThus, the final answer is f = \\boxed{79}.",
"index": 9514,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = v + 18; l = v + 19; m = j + 2; t = a + 2; f = d + 6; c = m + 20; a = l + 12; j = o + 20; e = t + 14; o = w + 14; d = e + 8; v = 18; w = p + 17. If v = 18, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"n": "d + 11", "j": "n + 2", "m": "j + 1", "z": "m + 6", "y": "z + 4", "a": "y + 1", "h": "d + 3", "q": "h + 8", "r": "q + 12", "o": "r + 7", "v": "o + 2", "t": "v + 10", "d": 20}, "premises": {"d": 20}, "target": "a"}, "answer": {"steps": [["y", "z + 4", "z + 5"], ["z", "m + 6", "m + 11"], ["m", "j + 1", "j + 12"], ["j", "n + 2", "n + 14"], ["n", "d + 11", "d + 25"], ["d", 20, "45"]], "target_var_name": "a", "target_value": 45, "value_dict": {"d": 20}, "is_reverse": true}} | 9,515 | 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 = j + 1; j = n + 2; z = m + 6; q = h + 8; d = 20; h = d + 3; n = d + 11; v = o + 2; y = z + 4; o = r + 7; t = v + 10; r = q + 12; a = y + 1. If d = 20, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = z + 4 to a, which gives a = z + 5.\n2. Substitute z = m + 6 to a, which gives a = m + 11.\n3. Substitute m = j + 1 to a, which gives a = j + 12.\n4. Substitute j = n + 2 to a, which gives a = n + 14.\n5. Substitute n = d + 11 to a, which gives a = d + 25.\n6. Substitute d = 20 to a, which gives a = 45.\n\nThus, the final answer is a = \\boxed{45}.",
"index": 9515,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = j + 1; j = n + 2; z = m + 6; q = h + 8; d = 20; h = d + 3; n = d + 11; v = o + 2; y = z + 4; o = r + 7; t = v + 10; r = q + 12; a = y + 1. If d = 20, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"b": "z + 12", "q": "b + 8", "l": "q + 13", "f": "l + 17", "p": "f + 10", "s": "p + 19", "h": "z + 15", "e": "h + 19", "d": "e + 20", "k": "d + 8", "j": "k + 18", "x": "j + 6", "z": 5}, "premises": {"z": 5}, "target": "s"}, "answer": {"steps": [["p", "f + 10", "f + 29"], ["f", "l + 17", "l + 46"], ["l", "q + 13", "q + 59"], ["q", "b + 8", "b + 67"], ["b", "z + 12", "z + 79"], ["z", 5, "84"]], "target_var_name": "s", "target_value": 84, "value_dict": {"z": 5}, "is_reverse": true}} | 9,516 | 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 = b + 8; s = p + 19; j = k + 18; d = e + 20; h = z + 15; e = h + 19; f = l + 17; l = q + 13; z = 5; p = f + 10; k = d + 8; b = z + 12; x = j + 6. If z = 5, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = f + 10 to s, which gives s = f + 29.\n2. Substitute f = l + 17 to s, which gives s = l + 46.\n3. Substitute l = q + 13 to s, which gives s = q + 59.\n4. Substitute q = b + 8 to s, which gives s = b + 67.\n5. Substitute b = z + 12 to s, which gives s = z + 79.\n6. Substitute z = 5 to s, which gives s = 84.\n\nThus, the final answer is s = \\boxed{84}.",
"index": 9516,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = b + 8; s = p + 19; j = k + 18; d = e + 20; h = z + 15; e = h + 19; f = l + 17; l = q + 13; z = 5; p = f + 10; k = d + 8; b = z + 12; x = j + 6. If z = 5, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"n": "z + 4", "u": "n + 20", "b": "u + 18", "q": "b + 15", "h": "q + 12", "j": "h + 18", "x": "z + 14", "r": "x + 14", "o": "r + 7", "l": "o + 19", "c": "l + 7", "v": "c + 3", "z": 12}, "premises": {"z": 12}, "target": "j"}, "answer": {"steps": [["h", "q + 12", "q + 30"], ["q", "b + 15", "b + 45"], ["b", "u + 18", "u + 63"], ["u", "n + 20", "n + 83"], ["n", "z + 4", "z + 87"], ["z", 12, "99"]], "target_var_name": "j", "target_value": 99, "value_dict": {"z": 12}, "is_reverse": true}} | 9,517 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = c + 3; q = b + 15; l = o + 19; h = q + 12; c = l + 7; u = n + 20; r = x + 14; j = h + 18; x = z + 14; b = u + 18; o = r + 7; n = z + 4; z = 12. Given that z = 12, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = q + 12 to j, which gives j = q + 30.\n2. Substitute q = b + 15 to j, which gives j = b + 45.\n3. Substitute b = u + 18 to j, which gives j = u + 63.\n4. Substitute u = n + 20 to j, which gives j = n + 83.\n5. Substitute n = z + 4 to j, which gives j = z + 87.\n6. Substitute z = 12 to j, which gives j = 99.\n\nThus, the final answer is j = \\boxed{99}.",
"index": 9517,
"question": "Suppose a collection of variables is related by the following definitions: v = c + 3; q = b + 15; l = o + 19; h = q + 12; c = l + 7; u = n + 20; r = x + 14; j = h + 18; x = z + 14; b = u + 18; o = r + 7; n = z + 4; z = 12. Given that z = 12, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"c": "d + 14", "w": "c + 5", "r": "w + 12", "f": "r + 5", "k": "f + 7", "e": "k + 9", "y": "d + 19", "x": "y + 12", "b": "x + 16", "j": "b + 4", "z": "j + 5", "a": "z + 16", "d": 20}, "premises": {"d": 20}, "target": "e"}, "answer": {"steps": [["k", "f + 7", "f + 16"], ["f", "r + 5", "r + 21"], ["r", "w + 12", "w + 33"], ["w", "c + 5", "c + 38"], ["c", "d + 14", "d + 52"], ["d", 20, "72"]], "target_var_name": "e", "target_value": 72, "value_dict": {"d": 20}, "is_reverse": true}} | 9,518 | 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 = w + 12; k = f + 7; y = d + 19; x = y + 12; j = b + 4; f = r + 5; c = d + 14; d = 20; b = x + 16; a = z + 16; z = j + 5; e = k + 9; w = c + 5. If d = 20, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = f + 7 to e, which gives e = f + 16.\n2. Substitute f = r + 5 to e, which gives e = r + 21.\n3. Substitute r = w + 12 to e, which gives e = w + 33.\n4. Substitute w = c + 5 to e, which gives e = c + 38.\n5. Substitute c = d + 14 to e, which gives e = d + 52.\n6. Substitute d = 20 to e, which gives e = 72.\n\nThus, the final answer is e = \\boxed{72}.",
"index": 9518,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = w + 12; k = f + 7; y = d + 19; x = y + 12; j = b + 4; f = r + 5; c = d + 14; d = 20; b = x + 16; a = z + 16; z = j + 5; e = k + 9; w = c + 5. If d = 20, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"p": "u + 12", "h": "p + 7", "m": "h + 13", "g": "m + 14", "q": "g + 20", "y": "q + 17", "c": "u + 15", "k": "c + 16", "b": "k + 10", "t": "b + 12", "r": "t + 1", "a": "r + 15", "u": 13}, "premises": {"u": 13}, "target": "y"}, "answer": {"steps": [["q", "g + 20", "g + 37"], ["g", "m + 14", "m + 51"], ["m", "h + 13", "h + 64"], ["h", "p + 7", "p + 71"], ["p", "u + 12", "u + 83"], ["u", 13, "96"]], "target_var_name": "y", "target_value": 96, "value_dict": {"u": 13}, "is_reverse": true}} | 9,519 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = 13; h = p + 7; y = q + 17; a = r + 15; c = u + 15; b = k + 10; m = h + 13; t = b + 12; q = g + 20; p = u + 12; r = t + 1; g = m + 14; k = c + 16. If u = 13, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = g + 20 to y, which gives y = g + 37.\n2. Substitute g = m + 14 to y, which gives y = m + 51.\n3. Substitute m = h + 13 to y, which gives y = h + 64.\n4. Substitute h = p + 7 to y, which gives y = p + 71.\n5. Substitute p = u + 12 to y, which gives y = u + 83.\n6. Substitute u = 13 to y, which gives y = 96.\n\nThus, the final answer is y = \\boxed{96}.",
"index": 9519,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = 13; h = p + 7; y = q + 17; a = r + 15; c = u + 15; b = k + 10; m = h + 13; t = b + 12; q = g + 20; p = u + 12; r = t + 1; g = m + 14; k = c + 16. If u = 13, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"z": "f + 13", "i": "z + 5", "l": "i + 9", "p": "l + 17", "d": "p + 10", "j": "d + 16", "t": "f + 5", "v": "t + 10", "e": "v + 19", "b": "e + 5", "y": "b + 16", "s": "y + 7", "f": 19}, "premises": {"f": 19}, "target": "j"}, "answer": {"steps": [["d", "p + 10", "p + 26"], ["p", "l + 17", "l + 43"], ["l", "i + 9", "i + 52"], ["i", "z + 5", "z + 57"], ["z", "f + 13", "f + 70"], ["f", 19, "89"]], "target_var_name": "j", "target_value": 89, "value_dict": {"f": 19}, "is_reverse": true}} | 9,520 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = p + 10; l = i + 9; e = v + 19; t = f + 5; s = y + 7; v = t + 10; f = 19; z = f + 13; p = l + 17; y = b + 16; j = d + 16; i = z + 5; b = e + 5. If f = 19, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = p + 10 to j, which gives j = p + 26.\n2. Substitute p = l + 17 to j, which gives j = l + 43.\n3. Substitute l = i + 9 to j, which gives j = i + 52.\n4. Substitute i = z + 5 to j, which gives j = z + 57.\n5. Substitute z = f + 13 to j, which gives j = f + 70.\n6. Substitute f = 19 to j, which gives j = 89.\n\nThus, the final answer is j = \\boxed{89}.",
"index": 9520,
"question": "Consider a system of variables where each variable is defined as follows: d = p + 10; l = i + 9; e = v + 19; t = f + 5; s = y + 7; v = t + 10; f = 19; z = f + 13; p = l + 17; y = b + 16; j = d + 16; i = z + 5; b = e + 5. If f = 19, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"p": "o + 13", "s": "p + 13", "m": "s + 17", "h": "m + 12", "l": "h + 1", "t": "l + 10", "i": "o + 20", "r": "i + 17", "d": "r + 6", "k": "d + 16", "n": "k + 4", "w": "n + 17", "o": 15}, "premises": {"o": 15}, "target": "t"}, "answer": {"steps": [["l", "h + 1", "h + 11"], ["h", "m + 12", "m + 23"], ["m", "s + 17", "s + 40"], ["s", "p + 13", "p + 53"], ["p", "o + 13", "o + 66"], ["o", 15, "81"]], "target_var_name": "t", "target_value": 81, "value_dict": {"o": 15}, "is_reverse": true}} | 9,521 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = p + 13; p = o + 13; m = s + 17; n = k + 4; l = h + 1; r = i + 17; i = o + 20; d = r + 6; h = m + 12; o = 15; t = l + 10; w = n + 17; k = d + 16. If o = 15, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = h + 1 to t, which gives t = h + 11.\n2. Substitute h = m + 12 to t, which gives t = m + 23.\n3. Substitute m = s + 17 to t, which gives t = s + 40.\n4. Substitute s = p + 13 to t, which gives t = p + 53.\n5. Substitute p = o + 13 to t, which gives t = o + 66.\n6. Substitute o = 15 to t, which gives t = 81.\n\nThus, the final answer is t = \\boxed{81}.",
"index": 9521,
"question": "Consider a system of variables where each variable is defined as follows: s = p + 13; p = o + 13; m = s + 17; n = k + 4; l = h + 1; r = i + 17; i = o + 20; d = r + 6; h = m + 12; o = 15; t = l + 10; w = n + 17; k = d + 16. If o = 15, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"h": "f + 15", "y": "h + 18", "e": "y + 1", "x": "e + 8", "m": "x + 18", "r": "m + 17", "g": "f + 16", "s": "g + 2", "l": "s + 20", "p": "l + 2", "c": "p + 11", "u": "c + 7", "f": 10}, "premises": {"f": 10}, "target": "r"}, "answer": {"steps": [["m", "x + 18", "x + 35"], ["x", "e + 8", "e + 43"], ["e", "y + 1", "y + 44"], ["y", "h + 18", "h + 62"], ["h", "f + 15", "f + 77"], ["f", 10, "87"]], "target_var_name": "r", "target_value": 87, "value_dict": {"f": 10}, "is_reverse": true}} | 9,522 | 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 + 1; m = x + 18; g = f + 16; p = l + 2; u = c + 7; y = h + 18; x = e + 8; h = f + 15; s = g + 2; c = p + 11; l = s + 20; r = m + 17; f = 10. If f = 10, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = x + 18 to r, which gives r = x + 35.\n2. Substitute x = e + 8 to r, which gives r = e + 43.\n3. Substitute e = y + 1 to r, which gives r = y + 44.\n4. Substitute y = h + 18 to r, which gives r = h + 62.\n5. Substitute h = f + 15 to r, which gives r = f + 77.\n6. Substitute f = 10 to r, which gives r = 87.\n\nThus, the final answer is r = \\boxed{87}.",
"index": 9522,
"question": "Consider a system of variables where each variable is defined as follows: e = y + 1; m = x + 18; g = f + 16; p = l + 2; u = c + 7; y = h + 18; x = e + 8; h = f + 15; s = g + 2; c = p + 11; l = s + 20; r = m + 17; f = 10. If f = 10, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"p": "a + 2", "l": "p + 9", "s": "l + 1", "j": "s + 6", "t": "j + 12", "f": "t + 14", "h": "a + 2", "e": "h + 6", "g": "e + 17", "u": "g + 6", "i": "u + 19", "v": "i + 6", "a": 14}, "premises": {"a": 14}, "target": "f"}, "answer": {"steps": [["t", "j + 12", "j + 26"], ["j", "s + 6", "s + 32"], ["s", "l + 1", "l + 33"], ["l", "p + 9", "p + 42"], ["p", "a + 2", "a + 44"], ["a", 14, "58"]], "target_var_name": "f", "target_value": 58, "value_dict": {"a": 14}, "is_reverse": true}} | 9,523 | 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 = 14; e = h + 6; j = s + 6; i = u + 19; u = g + 6; v = i + 6; l = p + 9; t = j + 12; s = l + 1; g = e + 17; h = a + 2; f = t + 14; p = a + 2. If a = 14, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = j + 12 to f, which gives f = j + 26.\n2. Substitute j = s + 6 to f, which gives f = s + 32.\n3. Substitute s = l + 1 to f, which gives f = l + 33.\n4. Substitute l = p + 9 to f, which gives f = p + 42.\n5. Substitute p = a + 2 to f, which gives f = a + 44.\n6. Substitute a = 14 to f, which gives f = 58.\n\nThus, the final answer is f = \\boxed{58}.",
"index": 9523,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = 14; e = h + 6; j = s + 6; i = u + 19; u = g + 6; v = i + 6; l = p + 9; t = j + 12; s = l + 1; g = e + 17; h = a + 2; f = t + 14; p = a + 2. If a = 14, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"k": "g + 7", "n": "k + 13", "j": "n + 13", "e": "j + 19", "d": "e + 11", "i": "d + 11", "h": "g + 9", "y": "h + 2", "r": "y + 9", "q": "r + 3", "a": "q + 18", "p": "a + 12", "g": 18}, "premises": {"g": 18}, "target": "i"}, "answer": {"steps": [["d", "e + 11", "e + 22"], ["e", "j + 19", "j + 41"], ["j", "n + 13", "n + 54"], ["n", "k + 13", "k + 67"], ["k", "g + 7", "g + 74"], ["g", 18, "92"]], "target_var_name": "i", "target_value": 92, "value_dict": {"g": 18}, "is_reverse": true}} | 9,524 | 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 = n + 13; a = q + 18; p = a + 12; e = j + 19; g = 18; k = g + 7; n = k + 13; h = g + 9; y = h + 2; i = d + 11; q = r + 3; d = e + 11; r = y + 9. If g = 18, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = e + 11 to i, which gives i = e + 22.\n2. Substitute e = j + 19 to i, which gives i = j + 41.\n3. Substitute j = n + 13 to i, which gives i = n + 54.\n4. Substitute n = k + 13 to i, which gives i = k + 67.\n5. Substitute k = g + 7 to i, which gives i = g + 74.\n6. Substitute g = 18 to i, which gives i = 92.\n\nThus, the final answer is i = \\boxed{92}.",
"index": 9524,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = n + 13; a = q + 18; p = a + 12; e = j + 19; g = 18; k = g + 7; n = k + 13; h = g + 9; y = h + 2; i = d + 11; q = r + 3; d = e + 11; r = y + 9. If g = 18, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"r": "p + 17", "n": "r + 1", "c": "n + 3", "s": "c + 15", "d": "s + 2", "l": "d + 18", "a": "p + 4", "j": "a + 17", "m": "j + 14", "h": "m + 13", "v": "h + 17", "y": "v + 17", "p": 14}, "premises": {"p": 14}, "target": "l"}, "answer": {"steps": [["d", "s + 2", "s + 20"], ["s", "c + 15", "c + 35"], ["c", "n + 3", "n + 38"], ["n", "r + 1", "r + 39"], ["r", "p + 17", "p + 56"], ["p", 14, "70"]], "target_var_name": "l", "target_value": 70, "value_dict": {"p": 14}, "is_reverse": true}} | 9,525 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = h + 17; d = s + 2; c = n + 3; j = a + 17; n = r + 1; m = j + 14; s = c + 15; l = d + 18; r = p + 17; a = p + 4; p = 14; y = v + 17; h = m + 13. If p = 14, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = s + 2 to l, which gives l = s + 20.\n2. Substitute s = c + 15 to l, which gives l = c + 35.\n3. Substitute c = n + 3 to l, which gives l = n + 38.\n4. Substitute n = r + 1 to l, which gives l = r + 39.\n5. Substitute r = p + 17 to l, which gives l = p + 56.\n6. Substitute p = 14 to l, which gives l = 70.\n\nThus, the final answer is l = \\boxed{70}.",
"index": 9525,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = h + 17; d = s + 2; c = n + 3; j = a + 17; n = r + 1; m = j + 14; s = c + 15; l = d + 18; r = p + 17; a = p + 4; p = 14; y = v + 17; h = m + 13. If p = 14, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"y": "r + 12", "x": "y + 15", "s": "x + 18", "l": "s + 5", "t": "l + 13", "e": "t + 8", "k": "r + 19", "o": "k + 6", "d": "o + 10", "m": "d + 10", "j": "m + 11", "v": "j + 11", "r": 16}, "premises": {"r": 16}, "target": "e"}, "answer": {"steps": [["t", "l + 13", "l + 21"], ["l", "s + 5", "s + 26"], ["s", "x + 18", "x + 44"], ["x", "y + 15", "y + 59"], ["y", "r + 12", "r + 71"], ["r", 16, "87"]], "target_var_name": "e", "target_value": 87, "value_dict": {"r": 16}, "is_reverse": true}} | 9,526 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = o + 10; l = s + 5; y = r + 12; x = y + 15; j = m + 11; m = d + 10; k = r + 19; o = k + 6; r = 16; e = t + 8; v = j + 11; t = l + 13; s = x + 18. If r = 16, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = l + 13 to e, which gives e = l + 21.\n2. Substitute l = s + 5 to e, which gives e = s + 26.\n3. Substitute s = x + 18 to e, which gives e = x + 44.\n4. Substitute x = y + 15 to e, which gives e = y + 59.\n5. Substitute y = r + 12 to e, which gives e = r + 71.\n6. Substitute r = 16 to e, which gives e = 87.\n\nThus, the final answer is e = \\boxed{87}.",
"index": 9526,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = o + 10; l = s + 5; y = r + 12; x = y + 15; j = m + 11; m = d + 10; k = r + 19; o = k + 6; r = 16; e = t + 8; v = j + 11; t = l + 13; s = x + 18. If r = 16, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"c": "i + 18", "x": "c + 2", "f": "x + 2", "r": "f + 19", "z": "r + 12", "b": "z + 11", "q": "i + 9", "j": "q + 15", "v": "j + 1", "t": "v + 16", "a": "t + 11", "s": "a + 15", "i": 16}, "premises": {"i": 16}, "target": "b"}, "answer": {"steps": [["z", "r + 12", "r + 23"], ["r", "f + 19", "f + 42"], ["f", "x + 2", "x + 44"], ["x", "c + 2", "c + 46"], ["c", "i + 18", "i + 64"], ["i", 16, "80"]], "target_var_name": "b", "target_value": 80, "value_dict": {"i": 16}, "is_reverse": true}} | 9,527 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = q + 15; v = j + 1; t = v + 16; a = t + 11; q = i + 9; z = r + 12; f = x + 2; x = c + 2; s = a + 15; c = i + 18; r = f + 19; i = 16; b = z + 11. Given that i = 16, 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 z = r + 12 to b, which gives b = r + 23.\n2. Substitute r = f + 19 to b, which gives b = f + 42.\n3. Substitute f = x + 2 to b, which gives b = x + 44.\n4. Substitute x = c + 2 to b, which gives b = c + 46.\n5. Substitute c = i + 18 to b, which gives b = i + 64.\n6. Substitute i = 16 to b, which gives b = 80.\n\nThus, the final answer is b = \\boxed{80}.",
"index": 9527,
"question": "Suppose a collection of variables is related by the following definitions: j = q + 15; v = j + 1; t = v + 16; a = t + 11; q = i + 9; z = r + 12; f = x + 2; x = c + 2; s = a + 15; c = i + 18; r = f + 19; i = 16; b = z + 11. Given that i = 16, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"d": "u + 17", "t": "d + 16", "b": "t + 20", "p": "b + 3", "n": "p + 13", "h": "n + 15", "w": "u + 1", "v": "w + 9", "l": "v + 6", "k": "l + 15", "m": "k + 4", "j": "m + 8", "u": 19}, "premises": {"u": 19}, "target": "h"}, "answer": {"steps": [["n", "p + 13", "p + 28"], ["p", "b + 3", "b + 31"], ["b", "t + 20", "t + 51"], ["t", "d + 16", "d + 67"], ["d", "u + 17", "u + 84"], ["u", 19, "103"]], "target_var_name": "h", "target_value": 103, "value_dict": {"u": 19}, "is_reverse": true}} | 9,528 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = v + 6; j = m + 8; v = w + 9; b = t + 20; p = b + 3; d = u + 17; u = 19; n = p + 13; k = l + 15; m = k + 4; h = n + 15; t = d + 16; w = u + 1. If u = 19, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 103,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = p + 13 to h, which gives h = p + 28.\n2. Substitute p = b + 3 to h, which gives h = b + 31.\n3. Substitute b = t + 20 to h, which gives h = t + 51.\n4. Substitute t = d + 16 to h, which gives h = d + 67.\n5. Substitute d = u + 17 to h, which gives h = u + 84.\n6. Substitute u = 19 to h, which gives h = 103.\n\nThus, the final answer is h = \\boxed{103}.",
"index": 9528,
"question": "Consider a system of variables where each variable is defined as follows: l = v + 6; j = m + 8; v = w + 9; b = t + 20; p = b + 3; d = u + 17; u = 19; n = p + 13; k = l + 15; m = k + 4; h = n + 15; t = d + 16; w = u + 1. If u = 19, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"z": "q + 14", "w": "z + 16", "u": "w + 8", "y": "u + 11", "c": "y + 18", "h": "c + 18", "t": "q + 9", "s": "t + 18", "x": "s + 3", "b": "x + 4", "a": "b + 3", "j": "a + 8", "q": 16}, "premises": {"q": 16}, "target": "h"}, "answer": {"steps": [["c", "y + 18", "y + 36"], ["y", "u + 11", "u + 47"], ["u", "w + 8", "w + 55"], ["w", "z + 16", "z + 71"], ["z", "q + 14", "q + 85"], ["q", 16, "101"]], "target_var_name": "h", "target_value": 101, "value_dict": {"q": 16}, "is_reverse": true}} | 9,529 | 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 = z + 16; y = u + 11; q = 16; x = s + 3; b = x + 4; h = c + 18; z = q + 14; t = q + 9; u = w + 8; c = y + 18; s = t + 18; a = b + 3; j = a + 8. If q = 16, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = y + 18 to h, which gives h = y + 36.\n2. Substitute y = u + 11 to h, which gives h = u + 47.\n3. Substitute u = w + 8 to h, which gives h = w + 55.\n4. Substitute w = z + 16 to h, which gives h = z + 71.\n5. Substitute z = q + 14 to h, which gives h = q + 85.\n6. Substitute q = 16 to h, which gives h = 101.\n\nThus, the final answer is h = \\boxed{101}.",
"index": 9529,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = z + 16; y = u + 11; q = 16; x = s + 3; b = x + 4; h = c + 18; z = q + 14; t = q + 9; u = w + 8; c = y + 18; s = t + 18; a = b + 3; j = a + 8. If q = 16, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"y": "k + 10", "e": "y + 13", "u": "e + 1", "z": "u + 2", "s": "z + 17", "p": "s + 10", "f": "k + 15", "m": "f + 13", "v": "m + 8", "q": "v + 3", "t": "q + 15", "c": "t + 19", "k": 15}, "premises": {"k": 15}, "target": "p"}, "answer": {"steps": [["s", "z + 17", "z + 27"], ["z", "u + 2", "u + 29"], ["u", "e + 1", "e + 30"], ["e", "y + 13", "y + 43"], ["y", "k + 10", "k + 53"], ["k", 15, "68"]], "target_var_name": "p", "target_value": 68, "value_dict": {"k": 15}, "is_reverse": true}} | 9,530 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = q + 15; s = z + 17; v = m + 8; e = y + 13; k = 15; y = k + 10; m = f + 13; u = e + 1; p = s + 10; f = k + 15; c = t + 19; q = v + 3; z = u + 2. If k = 15, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = z + 17 to p, which gives p = z + 27.\n2. Substitute z = u + 2 to p, which gives p = u + 29.\n3. Substitute u = e + 1 to p, which gives p = e + 30.\n4. Substitute e = y + 13 to p, which gives p = y + 43.\n5. Substitute y = k + 10 to p, which gives p = k + 53.\n6. Substitute k = 15 to p, which gives p = 68.\n\nThus, the final answer is p = \\boxed{68}.",
"index": 9530,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = q + 15; s = z + 17; v = m + 8; e = y + 13; k = 15; y = k + 10; m = f + 13; u = e + 1; p = s + 10; f = k + 15; c = t + 19; q = v + 3; z = u + 2. If k = 15, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"i": "x + 18", "k": "i + 2", "t": "k + 15", "m": "t + 7", "y": "m + 16", "z": "y + 18", "r": "x + 5", "h": "r + 9", "w": "h + 3", "a": "w + 11", "b": "a + 1", "s": "b + 8", "x": 13}, "premises": {"x": 13}, "target": "z"}, "answer": {"steps": [["y", "m + 16", "m + 34"], ["m", "t + 7", "t + 41"], ["t", "k + 15", "k + 56"], ["k", "i + 2", "i + 58"], ["i", "x + 18", "x + 76"], ["x", 13, "89"]], "target_var_name": "z", "target_value": 89, "value_dict": {"x": 13}, "is_reverse": true}} | 9,531 | 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 = 13; y = m + 16; w = h + 3; h = r + 9; a = w + 11; r = x + 5; z = y + 18; b = a + 1; s = b + 8; i = x + 18; k = i + 2; t = k + 15; m = t + 7. If x = 13, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = m + 16 to z, which gives z = m + 34.\n2. Substitute m = t + 7 to z, which gives z = t + 41.\n3. Substitute t = k + 15 to z, which gives z = k + 56.\n4. Substitute k = i + 2 to z, which gives z = i + 58.\n5. Substitute i = x + 18 to z, which gives z = x + 76.\n6. Substitute x = 13 to z, which gives z = 89.\n\nThus, the final answer is z = \\boxed{89}.",
"index": 9531,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = 13; y = m + 16; w = h + 3; h = r + 9; a = w + 11; r = x + 5; z = y + 18; b = a + 1; s = b + 8; i = x + 18; k = i + 2; t = k + 15; m = t + 7. If x = 13, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"v": "s + 18", "t": "v + 2", "r": "t + 2", "b": "r + 13", "d": "b + 20", "i": "d + 10", "e": "s + 10", "o": "e + 20", "m": "o + 3", "j": "m + 7", "c": "j + 19", "l": "c + 6", "s": 1}, "premises": {"s": 1}, "target": "i"}, "answer": {"steps": [["d", "b + 20", "b + 30"], ["b", "r + 13", "r + 43"], ["r", "t + 2", "t + 45"], ["t", "v + 2", "v + 47"], ["v", "s + 18", "s + 65"], ["s", 1, "66"]], "target_var_name": "i", "target_value": 66, "value_dict": {"s": 1}, "is_reverse": true}} | 9,532 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = r + 13; l = c + 6; o = e + 20; r = t + 2; t = v + 2; v = s + 18; e = s + 10; i = d + 10; s = 1; d = b + 20; j = m + 7; c = j + 19; m = o + 3. Given that s = 1, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = b + 20 to i, which gives i = b + 30.\n2. Substitute b = r + 13 to i, which gives i = r + 43.\n3. Substitute r = t + 2 to i, which gives i = t + 45.\n4. Substitute t = v + 2 to i, which gives i = v + 47.\n5. Substitute v = s + 18 to i, which gives i = s + 65.\n6. Substitute s = 1 to i, which gives i = 66.\n\nThus, the final answer is i = \\boxed{66}.",
"index": 9532,
"question": "Suppose a collection of variables is related by the following definitions: b = r + 13; l = c + 6; o = e + 20; r = t + 2; t = v + 2; v = s + 18; e = s + 10; i = d + 10; s = 1; d = b + 20; j = m + 7; c = j + 19; m = o + 3. Given that s = 1, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"i": "r + 12", "o": "i + 6", "g": "o + 10", "w": "g + 14", "u": "w + 6", "x": "u + 1", "t": "r + 17", "s": "t + 3", "m": "s + 5", "h": "m + 10", "p": "h + 17", "l": "p + 14", "r": 13}, "premises": {"r": 13}, "target": "x"}, "answer": {"steps": [["u", "w + 6", "w + 7"], ["w", "g + 14", "g + 21"], ["g", "o + 10", "o + 31"], ["o", "i + 6", "i + 37"], ["i", "r + 12", "r + 49"], ["r", 13, "62"]], "target_var_name": "x", "target_value": 62, "value_dict": {"r": 13}, "is_reverse": true}} | 9,533 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = 13; m = s + 5; x = u + 1; p = h + 17; l = p + 14; o = i + 6; w = g + 14; g = o + 10; i = r + 12; s = t + 3; h = m + 10; t = r + 17; u = w + 6. If r = 13, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = w + 6 to x, which gives x = w + 7.\n2. Substitute w = g + 14 to x, which gives x = g + 21.\n3. Substitute g = o + 10 to x, which gives x = o + 31.\n4. Substitute o = i + 6 to x, which gives x = i + 37.\n5. Substitute i = r + 12 to x, which gives x = r + 49.\n6. Substitute r = 13 to x, which gives x = 62.\n\nThus, the final answer is x = \\boxed{62}.",
"index": 9533,
"question": "Consider a system of variables where each variable is defined as follows: r = 13; m = s + 5; x = u + 1; p = h + 17; l = p + 14; o = i + 6; w = g + 14; g = o + 10; i = r + 12; s = t + 3; h = m + 10; t = r + 17; u = w + 6. If r = 13, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"b": "p + 18", "q": "b + 3", "n": "q + 16", "x": "n + 10", "o": "x + 17", "z": "o + 20", "i": "p + 9", "d": "i + 7", "m": "d + 11", "a": "m + 17", "w": "a + 4", "t": "w + 12", "p": 19}, "premises": {"p": 19}, "target": "z"}, "answer": {"steps": [["o", "x + 17", "x + 37"], ["x", "n + 10", "n + 47"], ["n", "q + 16", "q + 63"], ["q", "b + 3", "b + 66"], ["b", "p + 18", "p + 84"], ["p", 19, "103"]], "target_var_name": "z", "target_value": 103, "value_dict": {"p": 19}, "is_reverse": true}} | 9,534 | 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 = p + 9; x = n + 10; z = o + 20; n = q + 16; w = a + 4; b = p + 18; m = d + 11; d = i + 7; p = 19; a = m + 17; q = b + 3; t = w + 12; o = x + 17. If p = 19, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 103,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = x + 17 to z, which gives z = x + 37.\n2. Substitute x = n + 10 to z, which gives z = n + 47.\n3. Substitute n = q + 16 to z, which gives z = q + 63.\n4. Substitute q = b + 3 to z, which gives z = b + 66.\n5. Substitute b = p + 18 to z, which gives z = p + 84.\n6. Substitute p = 19 to z, which gives z = 103.\n\nThus, the final answer is z = \\boxed{103}.",
"index": 9534,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = p + 9; x = n + 10; z = o + 20; n = q + 16; w = a + 4; b = p + 18; m = d + 11; d = i + 7; p = 19; a = m + 17; q = b + 3; t = w + 12; o = x + 17. If p = 19, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"h": "e + 12", "z": "h + 8", "m": "z + 14", "k": "m + 9", "q": "k + 19", "i": "q + 19", "n": "e + 2", "w": "n + 9", "p": "w + 7", "o": "p + 13", "l": "o + 6", "a": "l + 14", "e": 4}, "premises": {"e": 4}, "target": "i"}, "answer": {"steps": [["q", "k + 19", "k + 38"], ["k", "m + 9", "m + 47"], ["m", "z + 14", "z + 61"], ["z", "h + 8", "h + 69"], ["h", "e + 12", "e + 81"], ["e", 4, "85"]], "target_var_name": "i", "target_value": 85, "value_dict": {"e": 4}, "is_reverse": true}} | 9,535 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = q + 19; n = e + 2; o = p + 13; h = e + 12; l = o + 6; q = k + 19; e = 4; p = w + 7; a = l + 14; m = z + 14; w = n + 9; k = m + 9; z = h + 8. If e = 4, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = k + 19 to i, which gives i = k + 38.\n2. Substitute k = m + 9 to i, which gives i = m + 47.\n3. Substitute m = z + 14 to i, which gives i = z + 61.\n4. Substitute z = h + 8 to i, which gives i = h + 69.\n5. Substitute h = e + 12 to i, which gives i = e + 81.\n6. Substitute e = 4 to i, which gives i = 85.\n\nThus, the final answer is i = \\boxed{85}.",
"index": 9535,
"question": "Consider a system of variables where each variable is defined as follows: i = q + 19; n = e + 2; o = p + 13; h = e + 12; l = o + 6; q = k + 19; e = 4; p = w + 7; a = l + 14; m = z + 14; w = n + 9; k = m + 9; z = h + 8. If e = 4, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"v": "b + 19", "l": "v + 15", "r": "l + 2", "w": "r + 6", "m": "w + 15", "o": "m + 19", "s": "b + 5", "z": "s + 7", "n": "z + 11", "g": "n + 10", "h": "g + 20", "e": "h + 15", "b": 13}, "premises": {"b": 13}, "target": "o"}, "answer": {"steps": [["m", "w + 15", "w + 34"], ["w", "r + 6", "r + 40"], ["r", "l + 2", "l + 42"], ["l", "v + 15", "v + 57"], ["v", "b + 19", "b + 76"], ["b", 13, "89"]], "target_var_name": "o", "target_value": 89, "value_dict": {"b": 13}, "is_reverse": true}} | 9,536 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = v + 15; w = r + 6; b = 13; e = h + 15; h = g + 20; o = m + 19; z = s + 7; g = n + 10; s = b + 5; n = z + 11; m = w + 15; r = l + 2; v = b + 19. If b = 13, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = w + 15 to o, which gives o = w + 34.\n2. Substitute w = r + 6 to o, which gives o = r + 40.\n3. Substitute r = l + 2 to o, which gives o = l + 42.\n4. Substitute l = v + 15 to o, which gives o = v + 57.\n5. Substitute v = b + 19 to o, which gives o = b + 76.\n6. Substitute b = 13 to o, which gives o = 89.\n\nThus, the final answer is o = \\boxed{89}.",
"index": 9536,
"question": "Consider a system of variables where each variable is defined as follows: l = v + 15; w = r + 6; b = 13; e = h + 15; h = g + 20; o = m + 19; z = s + 7; g = n + 10; s = b + 5; n = z + 11; m = w + 15; r = l + 2; v = b + 19. If b = 13, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"z": "d + 13", "u": "z + 14", "c": "u + 2", "r": "c + 1", "w": "r + 15", "b": "w + 20", "o": "d + 16", "y": "o + 3", "h": "y + 14", "a": "h + 1", "t": "a + 13", "i": "t + 20", "d": 5}, "premises": {"d": 5}, "target": "b"}, "answer": {"steps": [["w", "r + 15", "r + 35"], ["r", "c + 1", "c + 36"], ["c", "u + 2", "u + 38"], ["u", "z + 14", "z + 52"], ["z", "d + 13", "d + 65"], ["d", 5, "70"]], "target_var_name": "b", "target_value": 70, "value_dict": {"d": 5}, "is_reverse": true}} | 9,537 | 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 = o + 3; a = h + 1; u = z + 14; t = a + 13; d = 5; c = u + 2; o = d + 16; b = w + 20; z = d + 13; w = r + 15; h = y + 14; i = t + 20; r = c + 1. If d = 5, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = r + 15 to b, which gives b = r + 35.\n2. Substitute r = c + 1 to b, which gives b = c + 36.\n3. Substitute c = u + 2 to b, which gives b = u + 38.\n4. Substitute u = z + 14 to b, which gives b = z + 52.\n5. Substitute z = d + 13 to b, which gives b = d + 65.\n6. Substitute d = 5 to b, which gives b = 70.\n\nThus, the final answer is b = \\boxed{70}.",
"index": 9537,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = o + 3; a = h + 1; u = z + 14; t = a + 13; d = 5; c = u + 2; o = d + 16; b = w + 20; z = d + 13; w = r + 15; h = y + 14; i = t + 20; r = c + 1. If d = 5, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"s": "o + 5", "d": "s + 16", "i": "d + 13", "g": "i + 6", "a": "g + 14", "x": "a + 16", "w": "o + 8", "y": "w + 13", "b": "y + 1", "v": "b + 1", "e": "v + 20", "u": "e + 11", "o": 12}, "premises": {"o": 12}, "target": "x"}, "answer": {"steps": [["a", "g + 14", "g + 30"], ["g", "i + 6", "i + 36"], ["i", "d + 13", "d + 49"], ["d", "s + 16", "s + 65"], ["s", "o + 5", "o + 70"], ["o", 12, "82"]], "target_var_name": "x", "target_value": 82, "value_dict": {"o": 12}, "is_reverse": true}} | 9,538 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = e + 11; s = o + 5; w = o + 8; g = i + 6; v = b + 1; b = y + 1; d = s + 16; e = v + 20; x = a + 16; a = g + 14; o = 12; y = w + 13; i = d + 13. If o = 12, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = g + 14 to x, which gives x = g + 30.\n2. Substitute g = i + 6 to x, which gives x = i + 36.\n3. Substitute i = d + 13 to x, which gives x = d + 49.\n4. Substitute d = s + 16 to x, which gives x = s + 65.\n5. Substitute s = o + 5 to x, which gives x = o + 70.\n6. Substitute o = 12 to x, which gives x = 82.\n\nThus, the final answer is x = \\boxed{82}.",
"index": 9538,
"question": "Consider a system of variables where each variable is defined as follows: u = e + 11; s = o + 5; w = o + 8; g = i + 6; v = b + 1; b = y + 1; d = s + 16; e = v + 20; x = a + 16; a = g + 14; o = 12; y = w + 13; i = d + 13. If o = 12, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"u": "i + 20", "f": "u + 12", "l": "f + 17", "r": "l + 8", "m": "r + 4", "t": "m + 7", "g": "i + 13", "y": "g + 1", "w": "y + 20", "n": "w + 2", "a": "n + 18", "b": "a + 17", "i": 7}, "premises": {"i": 7}, "target": "t"}, "answer": {"steps": [["m", "r + 4", "r + 11"], ["r", "l + 8", "l + 19"], ["l", "f + 17", "f + 36"], ["f", "u + 12", "u + 48"], ["u", "i + 20", "i + 68"], ["i", 7, "75"]], "target_var_name": "t", "target_value": 75, "value_dict": {"i": 7}, "is_reverse": true}} | 9,539 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = n + 18; g = i + 13; w = y + 20; u = i + 20; m = r + 4; n = w + 2; f = u + 12; l = f + 17; b = a + 17; i = 7; t = m + 7; r = l + 8; y = g + 1. If i = 7, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = r + 4 to t, which gives t = r + 11.\n2. Substitute r = l + 8 to t, which gives t = l + 19.\n3. Substitute l = f + 17 to t, which gives t = f + 36.\n4. Substitute f = u + 12 to t, which gives t = u + 48.\n5. Substitute u = i + 20 to t, which gives t = i + 68.\n6. Substitute i = 7 to t, which gives t = 75.\n\nThus, the final answer is t = \\boxed{75}.",
"index": 9539,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = n + 18; g = i + 13; w = y + 20; u = i + 20; m = r + 4; n = w + 2; f = u + 12; l = f + 17; b = a + 17; i = 7; t = m + 7; r = l + 8; y = g + 1. If i = 7, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"u": "n + 20", "a": "u + 12", "s": "a + 19", "p": "s + 12", "v": "p + 10", "i": "v + 18", "x": "n + 10", "t": "x + 4", "r": "t + 7", "j": "r + 5", "k": "j + 15", "q": "k + 15", "n": 17}, "premises": {"n": 17}, "target": "i"}, "answer": {"steps": [["v", "p + 10", "p + 28"], ["p", "s + 12", "s + 40"], ["s", "a + 19", "a + 59"], ["a", "u + 12", "u + 71"], ["u", "n + 20", "n + 91"], ["n", 17, "108"]], "target_var_name": "i", "target_value": 108, "value_dict": {"n": 17}, "is_reverse": true}} | 9,540 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = s + 12; s = a + 19; u = n + 20; k = j + 15; v = p + 10; a = u + 12; q = k + 15; j = r + 5; x = n + 10; r = t + 7; t = x + 4; n = 17; i = v + 18. Given that n = 17, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 108,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = p + 10 to i, which gives i = p + 28.\n2. Substitute p = s + 12 to i, which gives i = s + 40.\n3. Substitute s = a + 19 to i, which gives i = a + 59.\n4. Substitute a = u + 12 to i, which gives i = u + 71.\n5. Substitute u = n + 20 to i, which gives i = n + 91.\n6. Substitute n = 17 to i, which gives i = 108.\n\nThus, the final answer is i = \\boxed{108}.",
"index": 9540,
"question": "Suppose a collection of variables is related by the following definitions: p = s + 12; s = a + 19; u = n + 20; k = j + 15; v = p + 10; a = u + 12; q = k + 15; j = r + 5; x = n + 10; r = t + 7; t = x + 4; n = 17; i = v + 18. Given that n = 17, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"t": "j + 14", "w": "t + 1", "u": "w + 16", "g": "u + 7", "y": "g + 8", "o": "y + 16", "f": "j + 16", "c": "f + 20", "m": "c + 14", "s": "m + 7", "a": "s + 9", "v": "a + 19", "j": 14}, "premises": {"j": 14}, "target": "o"}, "answer": {"steps": [["y", "g + 8", "g + 24"], ["g", "u + 7", "u + 31"], ["u", "w + 16", "w + 47"], ["w", "t + 1", "t + 48"], ["t", "j + 14", "j + 62"], ["j", 14, "76"]], "target_var_name": "o", "target_value": 76, "value_dict": {"j": 14}, "is_reverse": true}} | 9,541 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = s + 9; y = g + 8; m = c + 14; u = w + 16; s = m + 7; o = y + 16; t = j + 14; c = f + 20; j = 14; f = j + 16; v = a + 19; g = u + 7; w = t + 1. Given that j = 14, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = g + 8 to o, which gives o = g + 24.\n2. Substitute g = u + 7 to o, which gives o = u + 31.\n3. Substitute u = w + 16 to o, which gives o = w + 47.\n4. Substitute w = t + 1 to o, which gives o = t + 48.\n5. Substitute t = j + 14 to o, which gives o = j + 62.\n6. Substitute j = 14 to o, which gives o = 76.\n\nThus, the final answer is o = \\boxed{76}.",
"index": 9541,
"question": "Suppose a collection of variables is related by the following definitions: a = s + 9; y = g + 8; m = c + 14; u = w + 16; s = m + 7; o = y + 16; t = j + 14; c = f + 20; j = 14; f = j + 16; v = a + 19; g = u + 7; w = t + 1. Given that j = 14, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"c": "x + 17", "h": "c + 19", "d": "h + 19", "m": "d + 7", "q": "m + 7", "f": "q + 11", "n": "x + 7", "l": "n + 15", "s": "l + 6", "w": "s + 4", "a": "w + 5", "o": "a + 2", "x": 14}, "premises": {"x": 14}, "target": "f"}, "answer": {"steps": [["q", "m + 7", "m + 18"], ["m", "d + 7", "d + 25"], ["d", "h + 19", "h + 44"], ["h", "c + 19", "c + 63"], ["c", "x + 17", "x + 80"], ["x", 14, "94"]], "target_var_name": "f", "target_value": 94, "value_dict": {"x": 14}, "is_reverse": true}} | 9,542 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = w + 5; h = c + 19; n = x + 7; m = d + 7; s = l + 6; l = n + 15; d = h + 19; x = 14; w = s + 4; q = m + 7; f = q + 11; c = x + 17; o = a + 2. If x = 14, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = m + 7 to f, which gives f = m + 18.\n2. Substitute m = d + 7 to f, which gives f = d + 25.\n3. Substitute d = h + 19 to f, which gives f = h + 44.\n4. Substitute h = c + 19 to f, which gives f = c + 63.\n5. Substitute c = x + 17 to f, which gives f = x + 80.\n6. Substitute x = 14 to f, which gives f = 94.\n\nThus, the final answer is f = \\boxed{94}.",
"index": 9542,
"question": "Consider a system of variables where each variable is defined as follows: a = w + 5; h = c + 19; n = x + 7; m = d + 7; s = l + 6; l = n + 15; d = h + 19; x = 14; w = s + 4; q = m + 7; f = q + 11; c = x + 17; o = a + 2. If x = 14, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"z": "y + 7", "c": "z + 13", "l": "c + 3", "u": "l + 4", "v": "u + 12", "g": "v + 3", "n": "y + 20", "t": "n + 7", "w": "t + 7", "x": "w + 16", "r": "x + 18", "p": "r + 10", "y": 14}, "premises": {"y": 14}, "target": "g"}, "answer": {"steps": [["v", "u + 12", "u + 15"], ["u", "l + 4", "l + 19"], ["l", "c + 3", "c + 22"], ["c", "z + 13", "z + 35"], ["z", "y + 7", "y + 42"], ["y", 14, "56"]], "target_var_name": "g", "target_value": 56, "value_dict": {"y": 14}, "is_reverse": true}} | 9,543 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = y + 20; w = t + 7; x = w + 16; l = c + 3; p = r + 10; y = 14; c = z + 13; u = l + 4; r = x + 18; t = n + 7; z = y + 7; v = u + 12; g = v + 3. If y = 14, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = u + 12 to g, which gives g = u + 15.\n2. Substitute u = l + 4 to g, which gives g = l + 19.\n3. Substitute l = c + 3 to g, which gives g = c + 22.\n4. Substitute c = z + 13 to g, which gives g = z + 35.\n5. Substitute z = y + 7 to g, which gives g = y + 42.\n6. Substitute y = 14 to g, which gives g = 56.\n\nThus, the final answer is g = \\boxed{56}.",
"index": 9543,
"question": "Consider a system of variables where each variable is defined as follows: n = y + 20; w = t + 7; x = w + 16; l = c + 3; p = r + 10; y = 14; c = z + 13; u = l + 4; r = x + 18; t = n + 7; z = y + 7; v = u + 12; g = v + 3. If y = 14, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"t": "s + 9", "g": "t + 5", "q": "g + 17", "o": "q + 9", "n": "o + 13", "m": "n + 4", "x": "s + 12", "v": "x + 11", "f": "v + 9", "y": "f + 15", "c": "y + 5", "l": "c + 3", "s": 3}, "premises": {"s": 3}, "target": "m"}, "answer": {"steps": [["n", "o + 13", "o + 17"], ["o", "q + 9", "q + 26"], ["q", "g + 17", "g + 43"], ["g", "t + 5", "t + 48"], ["t", "s + 9", "s + 57"], ["s", 3, "60"]], "target_var_name": "m", "target_value": 60, "value_dict": {"s": 3}, "is_reverse": true}} | 9,544 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = s + 9; c = y + 5; v = x + 11; q = g + 17; g = t + 5; l = c + 3; x = s + 12; n = o + 13; o = q + 9; f = v + 9; m = n + 4; y = f + 15; s = 3. Given that s = 3, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = o + 13 to m, which gives m = o + 17.\n2. Substitute o = q + 9 to m, which gives m = q + 26.\n3. Substitute q = g + 17 to m, which gives m = g + 43.\n4. Substitute g = t + 5 to m, which gives m = t + 48.\n5. Substitute t = s + 9 to m, which gives m = s + 57.\n6. Substitute s = 3 to m, which gives m = 60.\n\nThus, the final answer is m = \\boxed{60}.",
"index": 9544,
"question": "Suppose a collection of variables is related by the following definitions: t = s + 9; c = y + 5; v = x + 11; q = g + 17; g = t + 5; l = c + 3; x = s + 12; n = o + 13; o = q + 9; f = v + 9; m = n + 4; y = f + 15; s = 3. Given that s = 3, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"k": "z + 8", "f": "k + 10", "n": "f + 10", "r": "n + 19", "b": "r + 1", "g": "b + 15", "q": "z + 5", "i": "q + 6", "d": "i + 7", "u": "d + 4", "w": "u + 12", "x": "w + 11", "z": 16}, "premises": {"z": 16}, "target": "g"}, "answer": {"steps": [["b", "r + 1", "r + 16"], ["r", "n + 19", "n + 35"], ["n", "f + 10", "f + 45"], ["f", "k + 10", "k + 55"], ["k", "z + 8", "z + 63"], ["z", 16, "79"]], "target_var_name": "g", "target_value": 79, "value_dict": {"z": 16}, "is_reverse": true}} | 9,545 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = z + 8; d = i + 7; u = d + 4; f = k + 10; x = w + 11; n = f + 10; g = b + 15; i = q + 6; z = 16; q = z + 5; r = n + 19; b = r + 1; w = u + 12. Given that z = 16, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = r + 1 to g, which gives g = r + 16.\n2. Substitute r = n + 19 to g, which gives g = n + 35.\n3. Substitute n = f + 10 to g, which gives g = f + 45.\n4. Substitute f = k + 10 to g, which gives g = k + 55.\n5. Substitute k = z + 8 to g, which gives g = z + 63.\n6. Substitute z = 16 to g, which gives g = 79.\n\nThus, the final answer is g = \\boxed{79}.",
"index": 9545,
"question": "Suppose a collection of variables is related by the following definitions: k = z + 8; d = i + 7; u = d + 4; f = k + 10; x = w + 11; n = f + 10; g = b + 15; i = q + 6; z = 16; q = z + 5; r = n + 19; b = r + 1; w = u + 12. Given that z = 16, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"y": "p + 19", "h": "y + 13", "o": "h + 7", "n": "o + 20", "a": "n + 17", "k": "a + 12", "f": "p + 16", "r": "f + 13", "u": "r + 9", "e": "u + 2", "l": "e + 2", "q": "l + 7", "p": 14}, "premises": {"p": 14}, "target": "k"}, "answer": {"steps": [["a", "n + 17", "n + 29"], ["n", "o + 20", "o + 49"], ["o", "h + 7", "h + 56"], ["h", "y + 13", "y + 69"], ["y", "p + 19", "p + 88"], ["p", 14, "102"]], "target_var_name": "k", "target_value": 102, "value_dict": {"p": 14}, "is_reverse": true}} | 9,546 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = 14; r = f + 13; k = a + 12; y = p + 19; h = y + 13; e = u + 2; a = n + 17; q = l + 7; o = h + 7; f = p + 16; u = r + 9; n = o + 20; l = e + 2. If p = 14, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 102,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = n + 17 to k, which gives k = n + 29.\n2. Substitute n = o + 20 to k, which gives k = o + 49.\n3. Substitute o = h + 7 to k, which gives k = h + 56.\n4. Substitute h = y + 13 to k, which gives k = y + 69.\n5. Substitute y = p + 19 to k, which gives k = p + 88.\n6. Substitute p = 14 to k, which gives k = 102.\n\nThus, the final answer is k = \\boxed{102}.",
"index": 9546,
"question": "Consider a system of variables where each variable is defined as follows: p = 14; r = f + 13; k = a + 12; y = p + 19; h = y + 13; e = u + 2; a = n + 17; q = l + 7; o = h + 7; f = p + 16; u = r + 9; n = o + 20; l = e + 2. If p = 14, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"u": "d + 18", "w": "u + 13", "f": "w + 20", "q": "f + 14", "v": "q + 12", "z": "v + 12", "h": "d + 5", "t": "h + 18", "j": "t + 12", "g": "j + 15", "n": "g + 9", "r": "n + 14", "d": 2}, "premises": {"d": 2}, "target": "z"}, "answer": {"steps": [["v", "q + 12", "q + 24"], ["q", "f + 14", "f + 38"], ["f", "w + 20", "w + 58"], ["w", "u + 13", "u + 71"], ["u", "d + 18", "d + 89"], ["d", 2, "91"]], "target_var_name": "z", "target_value": 91, "value_dict": {"d": 2}, "is_reverse": true}} | 9,547 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = j + 15; v = q + 12; j = t + 12; w = u + 13; d = 2; t = h + 18; r = n + 14; n = g + 9; u = d + 18; z = v + 12; f = w + 20; q = f + 14; h = d + 5. If d = 2, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = q + 12 to z, which gives z = q + 24.\n2. Substitute q = f + 14 to z, which gives z = f + 38.\n3. Substitute f = w + 20 to z, which gives z = w + 58.\n4. Substitute w = u + 13 to z, which gives z = u + 71.\n5. Substitute u = d + 18 to z, which gives z = d + 89.\n6. Substitute d = 2 to z, which gives z = 91.\n\nThus, the final answer is z = \\boxed{91}.",
"index": 9547,
"question": "Consider a system of variables where each variable is defined as follows: g = j + 15; v = q + 12; j = t + 12; w = u + 13; d = 2; t = h + 18; r = n + 14; n = g + 9; u = d + 18; z = v + 12; f = w + 20; q = f + 14; h = d + 5. If d = 2, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"r": "o + 5", "q": "r + 5", "g": "q + 9", "p": "g + 2", "a": "p + 8", "x": "a + 7", "v": "o + 8", "z": "v + 17", "f": "z + 15", "m": "f + 1", "t": "m + 8", "i": "t + 9", "o": 19}, "premises": {"o": 19}, "target": "x"}, "answer": {"steps": [["a", "p + 8", "p + 15"], ["p", "g + 2", "g + 17"], ["g", "q + 9", "q + 26"], ["q", "r + 5", "r + 31"], ["r", "o + 5", "o + 36"], ["o", 19, "55"]], "target_var_name": "x", "target_value": 55, "value_dict": {"o": 19}, "is_reverse": true}} | 9,548 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = z + 15; q = r + 5; p = g + 2; t = m + 8; z = v + 17; r = o + 5; o = 19; x = a + 7; m = f + 1; g = q + 9; v = o + 8; i = t + 9; a = p + 8. If o = 19, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = p + 8 to x, which gives x = p + 15.\n2. Substitute p = g + 2 to x, which gives x = g + 17.\n3. Substitute g = q + 9 to x, which gives x = q + 26.\n4. Substitute q = r + 5 to x, which gives x = r + 31.\n5. Substitute r = o + 5 to x, which gives x = o + 36.\n6. Substitute o = 19 to x, which gives x = 55.\n\nThus, the final answer is x = \\boxed{55}.",
"index": 9548,
"question": "Consider a system of variables where each variable is defined as follows: f = z + 15; q = r + 5; p = g + 2; t = m + 8; z = v + 17; r = o + 5; o = 19; x = a + 7; m = f + 1; g = q + 9; v = o + 8; i = t + 9; a = p + 8. If o = 19, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"g": "r + 6", "v": "g + 2", "h": "v + 14", "b": "h + 3", "c": "b + 17", "l": "c + 14", "o": "r + 12", "z": "o + 19", "a": "z + 6", "y": "a + 2", "t": "y + 11", "j": "t + 4", "r": 17}, "premises": {"r": 17}, "target": "l"}, "answer": {"steps": [["c", "b + 17", "b + 31"], ["b", "h + 3", "h + 34"], ["h", "v + 14", "v + 48"], ["v", "g + 2", "g + 50"], ["g", "r + 6", "r + 56"], ["r", 17, "73"]], "target_var_name": "l", "target_value": 73, "value_dict": {"r": 17}, "is_reverse": true}} | 9,549 | 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 = z + 6; h = v + 14; y = a + 2; c = b + 17; g = r + 6; b = h + 3; t = y + 11; v = g + 2; o = r + 12; l = c + 14; r = 17; j = t + 4; z = o + 19. If r = 17, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = b + 17 to l, which gives l = b + 31.\n2. Substitute b = h + 3 to l, which gives l = h + 34.\n3. Substitute h = v + 14 to l, which gives l = v + 48.\n4. Substitute v = g + 2 to l, which gives l = g + 50.\n5. Substitute g = r + 6 to l, which gives l = r + 56.\n6. Substitute r = 17 to l, which gives l = 73.\n\nThus, the final answer is l = \\boxed{73}.",
"index": 9549,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = z + 6; h = v + 14; y = a + 2; c = b + 17; g = r + 6; b = h + 3; t = y + 11; v = g + 2; o = r + 12; l = c + 14; r = 17; j = t + 4; z = o + 19. If r = 17, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"x": "r + 5", "z": "x + 16", "q": "z + 9", "j": "q + 10", "g": "j + 2", "p": "g + 6", "y": "r + 19", "v": "y + 3", "a": "v + 1", "o": "a + 9", "n": "o + 3", "s": "n + 5", "r": 10}, "premises": {"r": 10}, "target": "p"}, "answer": {"steps": [["g", "j + 2", "j + 8"], ["j", "q + 10", "q + 18"], ["q", "z + 9", "z + 27"], ["z", "x + 16", "x + 43"], ["x", "r + 5", "r + 48"], ["r", 10, "58"]], "target_var_name": "p", "target_value": 58, "value_dict": {"r": 10}, "is_reverse": true}} | 9,550 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = o + 3; p = g + 6; o = a + 9; y = r + 19; r = 10; j = q + 10; a = v + 1; q = z + 9; g = j + 2; v = y + 3; s = n + 5; z = x + 16; x = r + 5. If r = 10, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = j + 2 to p, which gives p = j + 8.\n2. Substitute j = q + 10 to p, which gives p = q + 18.\n3. Substitute q = z + 9 to p, which gives p = z + 27.\n4. Substitute z = x + 16 to p, which gives p = x + 43.\n5. Substitute x = r + 5 to p, which gives p = r + 48.\n6. Substitute r = 10 to p, which gives p = 58.\n\nThus, the final answer is p = \\boxed{58}.",
"index": 9550,
"question": "Consider a system of variables where each variable is defined as follows: n = o + 3; p = g + 6; o = a + 9; y = r + 19; r = 10; j = q + 10; a = v + 1; q = z + 9; g = j + 2; v = y + 3; s = n + 5; z = x + 16; x = r + 5. If r = 10, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"e": "y + 14", "f": "e + 18", "m": "f + 4", "i": "m + 17", "s": "i + 16", "t": "s + 13", "v": "y + 18", "l": "v + 12", "d": "l + 2", "q": "d + 20", "k": "q + 7", "a": "k + 6", "y": 16}, "premises": {"y": 16}, "target": "t"}, "answer": {"steps": [["s", "i + 16", "i + 29"], ["i", "m + 17", "m + 46"], ["m", "f + 4", "f + 50"], ["f", "e + 18", "e + 68"], ["e", "y + 14", "y + 82"], ["y", 16, "98"]], "target_var_name": "t", "target_value": 98, "value_dict": {"y": 16}, "is_reverse": true}} | 9,551 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = y + 18; f = e + 18; s = i + 16; i = m + 17; y = 16; a = k + 6; l = v + 12; t = s + 13; d = l + 2; q = d + 20; k = q + 7; e = y + 14; m = f + 4. Given that y = 16, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = i + 16 to t, which gives t = i + 29.\n2. Substitute i = m + 17 to t, which gives t = m + 46.\n3. Substitute m = f + 4 to t, which gives t = f + 50.\n4. Substitute f = e + 18 to t, which gives t = e + 68.\n5. Substitute e = y + 14 to t, which gives t = y + 82.\n6. Substitute y = 16 to t, which gives t = 98.\n\nThus, the final answer is t = \\boxed{98}.",
"index": 9551,
"question": "Suppose a collection of variables is related by the following definitions: v = y + 18; f = e + 18; s = i + 16; i = m + 17; y = 16; a = k + 6; l = v + 12; t = s + 13; d = l + 2; q = d + 20; k = q + 7; e = y + 14; m = f + 4. Given that y = 16, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"r": "v + 10", "p": "r + 11", "x": "p + 13", "d": "x + 9", "k": "d + 13", "i": "k + 1", "w": "v + 15", "u": "w + 4", "q": "u + 11", "t": "q + 12", "j": "t + 14", "g": "j + 10", "v": 8}, "premises": {"v": 8}, "target": "i"}, "answer": {"steps": [["k", "d + 13", "d + 14"], ["d", "x + 9", "x + 23"], ["x", "p + 13", "p + 36"], ["p", "r + 11", "r + 47"], ["r", "v + 10", "v + 57"], ["v", 8, "65"]], "target_var_name": "i", "target_value": 65, "value_dict": {"v": 8}, "is_reverse": true}} | 9,552 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = t + 14; u = w + 4; g = j + 10; v = 8; x = p + 13; d = x + 9; r = v + 10; q = u + 11; w = v + 15; i = k + 1; k = d + 13; p = r + 11; t = q + 12. If v = 8, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = d + 13 to i, which gives i = d + 14.\n2. Substitute d = x + 9 to i, which gives i = x + 23.\n3. Substitute x = p + 13 to i, which gives i = p + 36.\n4. Substitute p = r + 11 to i, which gives i = r + 47.\n5. Substitute r = v + 10 to i, which gives i = v + 57.\n6. Substitute v = 8 to i, which gives i = 65.\n\nThus, the final answer is i = \\boxed{65}.",
"index": 9552,
"question": "Consider a system of variables where each variable is defined as follows: j = t + 14; u = w + 4; g = j + 10; v = 8; x = p + 13; d = x + 9; r = v + 10; q = u + 11; w = v + 15; i = k + 1; k = d + 13; p = r + 11; t = q + 12. If v = 8, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"l": "a + 17", "e": "l + 17", "p": "e + 9", "v": "p + 4", "h": "v + 15", "q": "h + 19", "o": "a + 7", "r": "o + 5", "x": "r + 10", "c": "x + 14", "k": "c + 5", "m": "k + 3", "a": 14}, "premises": {"a": 14}, "target": "q"}, "answer": {"steps": [["h", "v + 15", "v + 34"], ["v", "p + 4", "p + 38"], ["p", "e + 9", "e + 47"], ["e", "l + 17", "l + 64"], ["l", "a + 17", "a + 81"], ["a", 14, "95"]], "target_var_name": "q", "target_value": 95, "value_dict": {"a": 14}, "is_reverse": true}} | 9,553 | 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 = h + 19; p = e + 9; c = x + 14; a = 14; r = o + 5; k = c + 5; e = l + 17; h = v + 15; l = a + 17; o = a + 7; m = k + 3; x = r + 10; v = p + 4. If a = 14, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = v + 15 to q, which gives q = v + 34.\n2. Substitute v = p + 4 to q, which gives q = p + 38.\n3. Substitute p = e + 9 to q, which gives q = e + 47.\n4. Substitute e = l + 17 to q, which gives q = l + 64.\n5. Substitute l = a + 17 to q, which gives q = a + 81.\n6. Substitute a = 14 to q, which gives q = 95.\n\nThus, the final answer is q = \\boxed{95}.",
"index": 9553,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = h + 19; p = e + 9; c = x + 14; a = 14; r = o + 5; k = c + 5; e = l + 17; h = v + 15; l = a + 17; o = a + 7; m = k + 3; x = r + 10; v = p + 4. If a = 14, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"o": "f + 20", "d": "o + 13", "c": "d + 15", "h": "c + 12", "t": "h + 10", "y": "t + 11", "e": "f + 19", "j": "e + 11", "r": "j + 4", "q": "r + 4", "b": "q + 12", "x": "b + 1", "f": 4}, "premises": {"f": 4}, "target": "y"}, "answer": {"steps": [["t", "h + 10", "h + 21"], ["h", "c + 12", "c + 33"], ["c", "d + 15", "d + 48"], ["d", "o + 13", "o + 61"], ["o", "f + 20", "f + 81"], ["f", 4, "85"]], "target_var_name": "y", "target_value": 85, "value_dict": {"f": 4}, "is_reverse": true}} | 9,554 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = j + 4; y = t + 11; x = b + 1; t = h + 10; b = q + 12; q = r + 4; h = c + 12; o = f + 20; j = e + 11; e = f + 19; f = 4; c = d + 15; d = o + 13. Given that f = 4, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = h + 10 to y, which gives y = h + 21.\n2. Substitute h = c + 12 to y, which gives y = c + 33.\n3. Substitute c = d + 15 to y, which gives y = d + 48.\n4. Substitute d = o + 13 to y, which gives y = o + 61.\n5. Substitute o = f + 20 to y, which gives y = f + 81.\n6. Substitute f = 4 to y, which gives y = 85.\n\nThus, the final answer is y = \\boxed{85}.",
"index": 9554,
"question": "Suppose a collection of variables is related by the following definitions: r = j + 4; y = t + 11; x = b + 1; t = h + 10; b = q + 12; q = r + 4; h = c + 12; o = f + 20; j = e + 11; e = f + 19; f = 4; c = d + 15; d = o + 13. Given that f = 4, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"f": "k + 12", "c": "f + 8", "g": "c + 13", "n": "g + 20", "i": "n + 3", "o": "i + 12", "l": "k + 18", "s": "l + 5", "u": "s + 18", "b": "u + 20", "q": "b + 5", "v": "q + 19", "k": 20}, "premises": {"k": 20}, "target": "o"}, "answer": {"steps": [["i", "n + 3", "n + 15"], ["n", "g + 20", "g + 35"], ["g", "c + 13", "c + 48"], ["c", "f + 8", "f + 56"], ["f", "k + 12", "k + 68"], ["k", 20, "88"]], "target_var_name": "o", "target_value": 88, "value_dict": {"k": 20}, "is_reverse": true}} | 9,555 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = 20; l = k + 18; v = q + 19; q = b + 5; i = n + 3; b = u + 20; s = l + 5; o = i + 12; n = g + 20; g = c + 13; c = f + 8; u = s + 18; f = k + 12. If k = 20, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = n + 3 to o, which gives o = n + 15.\n2. Substitute n = g + 20 to o, which gives o = g + 35.\n3. Substitute g = c + 13 to o, which gives o = c + 48.\n4. Substitute c = f + 8 to o, which gives o = f + 56.\n5. Substitute f = k + 12 to o, which gives o = k + 68.\n6. Substitute k = 20 to o, which gives o = 88.\n\nThus, the final answer is o = \\boxed{88}.",
"index": 9555,
"question": "Consider a system of variables where each variable is defined as follows: k = 20; l = k + 18; v = q + 19; q = b + 5; i = n + 3; b = u + 20; s = l + 5; o = i + 12; n = g + 20; g = c + 13; c = f + 8; u = s + 18; f = k + 12. If k = 20, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"s": "m + 16", "h": "s + 6", "i": "h + 14", "n": "i + 9", "t": "n + 7", "d": "t + 12", "p": "m + 11", "z": "p + 9", "j": "z + 12", "w": "j + 5", "k": "w + 7", "o": "k + 7", "m": 5}, "premises": {"m": 5}, "target": "d"}, "answer": {"steps": [["t", "n + 7", "n + 19"], ["n", "i + 9", "i + 28"], ["i", "h + 14", "h + 42"], ["h", "s + 6", "s + 48"], ["s", "m + 16", "m + 64"], ["m", 5, "69"]], "target_var_name": "d", "target_value": 69, "value_dict": {"m": 5}, "is_reverse": true}} | 9,556 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = p + 9; p = m + 11; h = s + 6; k = w + 7; j = z + 12; o = k + 7; t = n + 7; i = h + 14; d = t + 12; w = j + 5; n = i + 9; m = 5; s = m + 16. Given that m = 5, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = n + 7 to d, which gives d = n + 19.\n2. Substitute n = i + 9 to d, which gives d = i + 28.\n3. Substitute i = h + 14 to d, which gives d = h + 42.\n4. Substitute h = s + 6 to d, which gives d = s + 48.\n5. Substitute s = m + 16 to d, which gives d = m + 64.\n6. Substitute m = 5 to d, which gives d = 69.\n\nThus, the final answer is d = \\boxed{69}.",
"index": 9556,
"question": "Suppose a collection of variables is related by the following definitions: z = p + 9; p = m + 11; h = s + 6; k = w + 7; j = z + 12; o = k + 7; t = n + 7; i = h + 14; d = t + 12; w = j + 5; n = i + 9; m = 5; s = m + 16. Given that m = 5, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"b": "r + 15", "d": "b + 20", "s": "d + 5", "n": "s + 13", "j": "n + 2", "y": "j + 20", "u": "r + 7", "o": "u + 17", "z": "o + 9", "k": "z + 11", "q": "k + 4", "p": "q + 3", "r": 13}, "premises": {"r": 13}, "target": "y"}, "answer": {"steps": [["j", "n + 2", "n + 22"], ["n", "s + 13", "s + 35"], ["s", "d + 5", "d + 40"], ["d", "b + 20", "b + 60"], ["b", "r + 15", "r + 75"], ["r", 13, "88"]], "target_var_name": "y", "target_value": 88, "value_dict": {"r": 13}, "is_reverse": true}} | 9,557 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = s + 13; u = r + 7; j = n + 2; b = r + 15; r = 13; z = o + 9; q = k + 4; o = u + 17; d = b + 20; y = j + 20; k = z + 11; p = q + 3; s = d + 5. Given that r = 13, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = n + 2 to y, which gives y = n + 22.\n2. Substitute n = s + 13 to y, which gives y = s + 35.\n3. Substitute s = d + 5 to y, which gives y = d + 40.\n4. Substitute d = b + 20 to y, which gives y = b + 60.\n5. Substitute b = r + 15 to y, which gives y = r + 75.\n6. Substitute r = 13 to y, which gives y = 88.\n\nThus, the final answer is y = \\boxed{88}.",
"index": 9557,
"question": "Suppose a collection of variables is related by the following definitions: n = s + 13; u = r + 7; j = n + 2; b = r + 15; r = 13; z = o + 9; q = k + 4; o = u + 17; d = b + 20; y = j + 20; k = z + 11; p = q + 3; s = d + 5. Given that r = 13, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"t": "s + 6", "u": "t + 6", "o": "u + 6", "i": "o + 17", "k": "i + 14", "q": "k + 18", "d": "s + 3", "m": "d + 1", "e": "m + 17", "n": "e + 3", "a": "n + 8", "g": "a + 16", "s": 19}, "premises": {"s": 19}, "target": "q"}, "answer": {"steps": [["k", "i + 14", "i + 32"], ["i", "o + 17", "o + 49"], ["o", "u + 6", "u + 55"], ["u", "t + 6", "t + 61"], ["t", "s + 6", "s + 67"], ["s", 19, "86"]], "target_var_name": "q", "target_value": 86, "value_dict": {"s": 19}, "is_reverse": true}} | 9,558 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = n + 8; d = s + 3; m = d + 1; s = 19; o = u + 6; t = s + 6; q = k + 18; u = t + 6; n = e + 3; k = i + 14; e = m + 17; i = o + 17; g = a + 16. If s = 19, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = i + 14 to q, which gives q = i + 32.\n2. Substitute i = o + 17 to q, which gives q = o + 49.\n3. Substitute o = u + 6 to q, which gives q = u + 55.\n4. Substitute u = t + 6 to q, which gives q = t + 61.\n5. Substitute t = s + 6 to q, which gives q = s + 67.\n6. Substitute s = 19 to q, which gives q = 86.\n\nThus, the final answer is q = \\boxed{86}.",
"index": 9558,
"question": "Consider a system of variables where each variable is defined as follows: a = n + 8; d = s + 3; m = d + 1; s = 19; o = u + 6; t = s + 6; q = k + 18; u = t + 6; n = e + 3; k = i + 14; e = m + 17; i = o + 17; g = a + 16. If s = 19, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"p": "r + 10", "y": "p + 17", "l": "y + 2", "h": "l + 8", "k": "h + 13", "q": "k + 15", "j": "r + 13", "s": "j + 3", "u": "s + 13", "v": "u + 1", "t": "v + 11", "b": "t + 12", "r": 1}, "premises": {"r": 1}, "target": "q"}, "answer": {"steps": [["k", "h + 13", "h + 28"], ["h", "l + 8", "l + 36"], ["l", "y + 2", "y + 38"], ["y", "p + 17", "p + 55"], ["p", "r + 10", "r + 65"], ["r", 1, "66"]], "target_var_name": "q", "target_value": 66, "value_dict": {"r": 1}, "is_reverse": true}} | 9,559 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = r + 10; q = k + 15; t = v + 11; l = y + 2; r = 1; y = p + 17; b = t + 12; h = l + 8; v = u + 1; s = j + 3; j = r + 13; k = h + 13; u = s + 13. If r = 1, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = h + 13 to q, which gives q = h + 28.\n2. Substitute h = l + 8 to q, which gives q = l + 36.\n3. Substitute l = y + 2 to q, which gives q = y + 38.\n4. Substitute y = p + 17 to q, which gives q = p + 55.\n5. Substitute p = r + 10 to q, which gives q = r + 65.\n6. Substitute r = 1 to q, which gives q = 66.\n\nThus, the final answer is q = \\boxed{66}.",
"index": 9559,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = r + 10; q = k + 15; t = v + 11; l = y + 2; r = 1; y = p + 17; b = t + 12; h = l + 8; v = u + 1; s = j + 3; j = r + 13; k = h + 13; u = s + 13. If r = 1, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"f": "a + 11", "i": "f + 12", "b": "i + 7", "e": "b + 7", "w": "e + 19", "z": "w + 13", "u": "a + 11", "o": "u + 3", "q": "o + 19", "r": "q + 19", "l": "r + 9", "y": "l + 5", "a": 13}, "premises": {"a": 13}, "target": "z"}, "answer": {"steps": [["w", "e + 19", "e + 32"], ["e", "b + 7", "b + 39"], ["b", "i + 7", "i + 46"], ["i", "f + 12", "f + 58"], ["f", "a + 11", "a + 69"], ["a", 13, "82"]], "target_var_name": "z", "target_value": 82, "value_dict": {"a": 13}, "is_reverse": true}} | 9,560 | 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 = 13; e = b + 7; r = q + 19; q = o + 19; l = r + 9; f = a + 11; y = l + 5; u = a + 11; o = u + 3; z = w + 13; w = e + 19; b = i + 7; i = f + 12. If a = 13, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = e + 19 to z, which gives z = e + 32.\n2. Substitute e = b + 7 to z, which gives z = b + 39.\n3. Substitute b = i + 7 to z, which gives z = i + 46.\n4. Substitute i = f + 12 to z, which gives z = f + 58.\n5. Substitute f = a + 11 to z, which gives z = a + 69.\n6. Substitute a = 13 to z, which gives z = 82.\n\nThus, the final answer is z = \\boxed{82}.",
"index": 9560,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = 13; e = b + 7; r = q + 19; q = o + 19; l = r + 9; f = a + 11; y = l + 5; u = a + 11; o = u + 3; z = w + 13; w = e + 19; b = i + 7; i = f + 12. If a = 13, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"w": "f + 3", "b": "w + 11", "k": "b + 7", "q": "k + 6", "z": "q + 11", "o": "z + 1", "x": "f + 10", "t": "x + 4", "d": "t + 1", "g": "d + 12", "s": "g + 15", "l": "s + 6", "f": 7}, "premises": {"f": 7}, "target": "o"}, "answer": {"steps": [["z", "q + 11", "q + 12"], ["q", "k + 6", "k + 18"], ["k", "b + 7", "b + 25"], ["b", "w + 11", "w + 36"], ["w", "f + 3", "f + 39"], ["f", 7, "46"]], "target_var_name": "o", "target_value": 46, "value_dict": {"f": 7}, "is_reverse": true}} | 9,561 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = w + 11; l = s + 6; o = z + 1; x = f + 10; g = d + 12; s = g + 15; f = 7; k = b + 7; t = x + 4; d = t + 1; q = k + 6; w = f + 3; z = q + 11. Given that f = 7, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = q + 11 to o, which gives o = q + 12.\n2. Substitute q = k + 6 to o, which gives o = k + 18.\n3. Substitute k = b + 7 to o, which gives o = b + 25.\n4. Substitute b = w + 11 to o, which gives o = w + 36.\n5. Substitute w = f + 3 to o, which gives o = f + 39.\n6. Substitute f = 7 to o, which gives o = 46.\n\nThus, the final answer is o = \\boxed{46}.",
"index": 9561,
"question": "Suppose a collection of variables is related by the following definitions: b = w + 11; l = s + 6; o = z + 1; x = f + 10; g = d + 12; s = g + 15; f = 7; k = b + 7; t = x + 4; d = t + 1; q = k + 6; w = f + 3; z = q + 11. Given that f = 7, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"w": "d + 8", "a": "w + 17", "q": "a + 7", "e": "q + 19", "f": "e + 15", "h": "f + 2", "z": "d + 2", "i": "z + 7", "n": "i + 7", "l": "n + 12", "o": "l + 10", "c": "o + 11", "d": 1}, "premises": {"d": 1}, "target": "h"}, "answer": {"steps": [["f", "e + 15", "e + 17"], ["e", "q + 19", "q + 36"], ["q", "a + 7", "a + 43"], ["a", "w + 17", "w + 60"], ["w", "d + 8", "d + 68"], ["d", 1, "69"]], "target_var_name": "h", "target_value": 69, "value_dict": {"d": 1}, "is_reverse": true}} | 9,562 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = e + 15; i = z + 7; z = d + 2; d = 1; h = f + 2; w = d + 8; c = o + 11; o = l + 10; a = w + 17; q = a + 7; l = n + 12; n = i + 7; e = q + 19. If d = 1, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = e + 15 to h, which gives h = e + 17.\n2. Substitute e = q + 19 to h, which gives h = q + 36.\n3. Substitute q = a + 7 to h, which gives h = a + 43.\n4. Substitute a = w + 17 to h, which gives h = w + 60.\n5. Substitute w = d + 8 to h, which gives h = d + 68.\n6. Substitute d = 1 to h, which gives h = 69.\n\nThus, the final answer is h = \\boxed{69}.",
"index": 9562,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = e + 15; i = z + 7; z = d + 2; d = 1; h = f + 2; w = d + 8; c = o + 11; o = l + 10; a = w + 17; q = a + 7; l = n + 12; n = i + 7; e = q + 19. If d = 1, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"w": "n + 4", "e": "w + 4", "f": "e + 11", "g": "f + 8", "r": "g + 12", "j": "r + 18", "v": "n + 6", "y": "v + 13", "i": "y + 9", "p": "i + 15", "z": "p + 7", "h": "z + 18", "n": 13}, "premises": {"n": 13}, "target": "j"}, "answer": {"steps": [["r", "g + 12", "g + 30"], ["g", "f + 8", "f + 38"], ["f", "e + 11", "e + 49"], ["e", "w + 4", "w + 53"], ["w", "n + 4", "n + 57"], ["n", 13, "70"]], "target_var_name": "j", "target_value": 70, "value_dict": {"n": 13}, "is_reverse": true}} | 9,563 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = 13; r = g + 12; h = z + 18; p = i + 15; j = r + 18; y = v + 13; v = n + 6; w = n + 4; g = f + 8; i = y + 9; e = w + 4; f = e + 11; z = p + 7. If n = 13, 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 r = g + 12 to j, which gives j = g + 30.\n2. Substitute g = f + 8 to j, which gives j = f + 38.\n3. Substitute f = e + 11 to j, which gives j = e + 49.\n4. Substitute e = w + 4 to j, which gives j = w + 53.\n5. Substitute w = n + 4 to j, which gives j = n + 57.\n6. Substitute n = 13 to j, which gives j = 70.\n\nThus, the final answer is j = \\boxed{70}.",
"index": 9563,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = 13; r = g + 12; h = z + 18; p = i + 15; j = r + 18; y = v + 13; v = n + 6; w = n + 4; g = f + 8; i = y + 9; e = w + 4; f = e + 11; z = p + 7. If n = 13, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"m": "g + 2", "u": "m + 12", "b": "u + 16", "s": "b + 4", "l": "s + 1", "d": "l + 7", "x": "g + 5", "h": "x + 2", "w": "h + 6", "i": "w + 18", "e": "i + 18", "r": "e + 8", "g": 2}, "premises": {"g": 2}, "target": "d"}, "answer": {"steps": [["l", "s + 1", "s + 8"], ["s", "b + 4", "b + 12"], ["b", "u + 16", "u + 28"], ["u", "m + 12", "m + 40"], ["m", "g + 2", "g + 42"], ["g", 2, "44"]], "target_var_name": "d", "target_value": 44, "value_dict": {"g": 2}, "is_reverse": true}} | 9,564 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = g + 5; b = u + 16; g = 2; l = s + 1; h = x + 2; i = w + 18; d = l + 7; r = e + 8; s = b + 4; m = g + 2; e = i + 18; u = m + 12; w = h + 6. If g = 2, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 44,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = s + 1 to d, which gives d = s + 8.\n2. Substitute s = b + 4 to d, which gives d = b + 12.\n3. Substitute b = u + 16 to d, which gives d = u + 28.\n4. Substitute u = m + 12 to d, which gives d = m + 40.\n5. Substitute m = g + 2 to d, which gives d = g + 42.\n6. Substitute g = 2 to d, which gives d = 44.\n\nThus, the final answer is d = \\boxed{44}.",
"index": 9564,
"question": "Consider a system of variables where each variable is defined as follows: x = g + 5; b = u + 16; g = 2; l = s + 1; h = x + 2; i = w + 18; d = l + 7; r = e + 8; s = b + 4; m = g + 2; e = i + 18; u = m + 12; w = h + 6. If g = 2, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"o": "z + 10", "g": "o + 4", "q": "g + 15", "a": "q + 17", "y": "a + 18", "s": "y + 2", "h": "z + 17", "d": "h + 3", "v": "d + 16", "j": "v + 4", "b": "j + 12", "m": "b + 15", "z": 2}, "premises": {"z": 2}, "target": "s"}, "answer": {"steps": [["y", "a + 18", "a + 20"], ["a", "q + 17", "q + 37"], ["q", "g + 15", "g + 52"], ["g", "o + 4", "o + 56"], ["o", "z + 10", "z + 66"], ["z", 2, "68"]], "target_var_name": "s", "target_value": 68, "value_dict": {"z": 2}, "is_reverse": true}} | 9,565 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = a + 18; a = q + 17; v = d + 16; j = v + 4; z = 2; g = o + 4; d = h + 3; b = j + 12; h = z + 17; o = z + 10; s = y + 2; q = g + 15; m = b + 15. If z = 2, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = a + 18 to s, which gives s = a + 20.\n2. Substitute a = q + 17 to s, which gives s = q + 37.\n3. Substitute q = g + 15 to s, which gives s = g + 52.\n4. Substitute g = o + 4 to s, which gives s = o + 56.\n5. Substitute o = z + 10 to s, which gives s = z + 66.\n6. Substitute z = 2 to s, which gives s = 68.\n\nThus, the final answer is s = \\boxed{68}.",
"index": 9565,
"question": "Consider a system of variables where each variable is defined as follows: y = a + 18; a = q + 17; v = d + 16; j = v + 4; z = 2; g = o + 4; d = h + 3; b = j + 12; h = z + 17; o = z + 10; s = y + 2; q = g + 15; m = b + 15. If z = 2, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"y": "c + 18", "d": "y + 11", "r": "d + 19", "t": "r + 16", "e": "t + 16", "b": "e + 5", "k": "c + 19", "q": "k + 16", "o": "q + 12", "j": "o + 4", "f": "j + 15", "a": "f + 6", "c": 4}, "premises": {"c": 4}, "target": "b"}, "answer": {"steps": [["e", "t + 16", "t + 21"], ["t", "r + 16", "r + 37"], ["r", "d + 19", "d + 56"], ["d", "y + 11", "y + 67"], ["y", "c + 18", "c + 85"], ["c", 4, "89"]], "target_var_name": "b", "target_value": 89, "value_dict": {"c": 4}, "is_reverse": true}} | 9,566 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = j + 15; t = r + 16; k = c + 19; d = y + 11; b = e + 5; a = f + 6; r = d + 19; e = t + 16; j = o + 4; q = k + 16; o = q + 12; y = c + 18; c = 4. If c = 4, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = t + 16 to b, which gives b = t + 21.\n2. Substitute t = r + 16 to b, which gives b = r + 37.\n3. Substitute r = d + 19 to b, which gives b = d + 56.\n4. Substitute d = y + 11 to b, which gives b = y + 67.\n5. Substitute y = c + 18 to b, which gives b = c + 85.\n6. Substitute c = 4 to b, which gives b = 89.\n\nThus, the final answer is b = \\boxed{89}.",
"index": 9566,
"question": "Consider a system of variables where each variable is defined as follows: f = j + 15; t = r + 16; k = c + 19; d = y + 11; b = e + 5; a = f + 6; r = d + 19; e = t + 16; j = o + 4; q = k + 16; o = q + 12; y = c + 18; c = 4. If c = 4, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"x": "d + 1", "u": "x + 11", "p": "u + 9", "z": "p + 4", "m": "z + 13", "t": "m + 10", "v": "d + 2", "j": "v + 5", "s": "j + 19", "c": "s + 9", "e": "c + 16", "r": "e + 14", "d": 9}, "premises": {"d": 9}, "target": "t"}, "answer": {"steps": [["m", "z + 13", "z + 23"], ["z", "p + 4", "p + 27"], ["p", "u + 9", "u + 36"], ["u", "x + 11", "x + 47"], ["x", "d + 1", "d + 48"], ["d", 9, "57"]], "target_var_name": "t", "target_value": 57, "value_dict": {"d": 9}, "is_reverse": true}} | 9,567 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = e + 14; x = d + 1; m = z + 13; z = p + 4; v = d + 2; j = v + 5; t = m + 10; e = c + 16; c = s + 9; d = 9; u = x + 11; p = u + 9; s = j + 19. If d = 9, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = z + 13 to t, which gives t = z + 23.\n2. Substitute z = p + 4 to t, which gives t = p + 27.\n3. Substitute p = u + 9 to t, which gives t = u + 36.\n4. Substitute u = x + 11 to t, which gives t = x + 47.\n5. Substitute x = d + 1 to t, which gives t = d + 48.\n6. Substitute d = 9 to t, which gives t = 57.\n\nThus, the final answer is t = \\boxed{57}.",
"index": 9567,
"question": "Consider a system of variables where each variable is defined as follows: r = e + 14; x = d + 1; m = z + 13; z = p + 4; v = d + 2; j = v + 5; t = m + 10; e = c + 16; c = s + 9; d = 9; u = x + 11; p = u + 9; s = j + 19. If d = 9, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"l": "o + 18", "u": "l + 3", "a": "u + 7", "n": "a + 8", "v": "n + 13", "p": "v + 3", "t": "o + 1", "w": "t + 19", "j": "w + 5", "b": "j + 16", "y": "b + 1", "r": "y + 15", "o": 15}, "premises": {"o": 15}, "target": "p"}, "answer": {"steps": [["v", "n + 13", "n + 16"], ["n", "a + 8", "a + 24"], ["a", "u + 7", "u + 31"], ["u", "l + 3", "l + 34"], ["l", "o + 18", "o + 52"], ["o", 15, "67"]], "target_var_name": "p", "target_value": 67, "value_dict": {"o": 15}, "is_reverse": true}} | 9,568 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = w + 5; p = v + 3; y = b + 1; v = n + 13; w = t + 19; t = o + 1; n = a + 8; u = l + 3; l = o + 18; o = 15; b = j + 16; a = u + 7; r = y + 15. If o = 15, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = n + 13 to p, which gives p = n + 16.\n2. Substitute n = a + 8 to p, which gives p = a + 24.\n3. Substitute a = u + 7 to p, which gives p = u + 31.\n4. Substitute u = l + 3 to p, which gives p = l + 34.\n5. Substitute l = o + 18 to p, which gives p = o + 52.\n6. Substitute o = 15 to p, which gives p = 67.\n\nThus, the final answer is p = \\boxed{67}.",
"index": 9568,
"question": "Consider a system of variables where each variable is defined as follows: j = w + 5; p = v + 3; y = b + 1; v = n + 13; w = t + 19; t = o + 1; n = a + 8; u = l + 3; l = o + 18; o = 15; b = j + 16; a = u + 7; r = y + 15. If o = 15, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"e": "p + 8", "h": "e + 2", "g": "h + 12", "z": "g + 9", "a": "z + 10", "m": "a + 10", "d": "p + 8", "o": "d + 17", "t": "o + 5", "w": "t + 12", "i": "w + 10", "s": "i + 4", "p": 9}, "premises": {"p": 9}, "target": "m"}, "answer": {"steps": [["a", "z + 10", "z + 20"], ["z", "g + 9", "g + 29"], ["g", "h + 12", "h + 41"], ["h", "e + 2", "e + 43"], ["e", "p + 8", "p + 51"], ["p", 9, "60"]], "target_var_name": "m", "target_value": 60, "value_dict": {"p": 9}, "is_reverse": true}} | 9,569 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = p + 8; o = d + 17; w = t + 12; m = a + 10; h = e + 2; a = z + 10; e = p + 8; p = 9; s = i + 4; t = o + 5; g = h + 12; z = g + 9; i = w + 10. Given that p = 9, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = z + 10 to m, which gives m = z + 20.\n2. Substitute z = g + 9 to m, which gives m = g + 29.\n3. Substitute g = h + 12 to m, which gives m = h + 41.\n4. Substitute h = e + 2 to m, which gives m = e + 43.\n5. Substitute e = p + 8 to m, which gives m = p + 51.\n6. Substitute p = 9 to m, which gives m = 60.\n\nThus, the final answer is m = \\boxed{60}.",
"index": 9569,
"question": "Suppose a collection of variables is related by the following definitions: d = p + 8; o = d + 17; w = t + 12; m = a + 10; h = e + 2; a = z + 10; e = p + 8; p = 9; s = i + 4; t = o + 5; g = h + 12; z = g + 9; i = w + 10. Given that p = 9, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"g": "m + 10", "e": "g + 9", "r": "e + 1", "c": "r + 11", "n": "c + 14", "p": "n + 9", "l": "m + 17", "u": "l + 17", "z": "u + 6", "v": "z + 2", "q": "v + 4", "s": "q + 3", "m": 8}, "premises": {"m": 8}, "target": "p"}, "answer": {"steps": [["n", "c + 14", "c + 23"], ["c", "r + 11", "r + 34"], ["r", "e + 1", "e + 35"], ["e", "g + 9", "g + 44"], ["g", "m + 10", "m + 54"], ["m", 8, "62"]], "target_var_name": "p", "target_value": 62, "value_dict": {"m": 8}, "is_reverse": true}} | 9,570 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = q + 3; e = g + 9; p = n + 9; z = u + 6; g = m + 10; c = r + 11; r = e + 1; q = v + 4; n = c + 14; m = 8; u = l + 17; l = m + 17; v = z + 2. If m = 8, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = c + 14 to p, which gives p = c + 23.\n2. Substitute c = r + 11 to p, which gives p = r + 34.\n3. Substitute r = e + 1 to p, which gives p = e + 35.\n4. Substitute e = g + 9 to p, which gives p = g + 44.\n5. Substitute g = m + 10 to p, which gives p = m + 54.\n6. Substitute m = 8 to p, which gives p = 62.\n\nThus, the final answer is p = \\boxed{62}.",
"index": 9570,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = q + 3; e = g + 9; p = n + 9; z = u + 6; g = m + 10; c = r + 11; r = e + 1; q = v + 4; n = c + 14; m = 8; u = l + 17; l = m + 17; v = z + 2. If m = 8, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"y": "f + 13", "z": "y + 8", "g": "z + 7", "w": "g + 6", "u": "w + 18", "j": "u + 1", "q": "f + 7", "t": "q + 10", "o": "t + 10", "m": "o + 10", "k": "m + 2", "x": "k + 3", "f": 17}, "premises": {"f": 17}, "target": "j"}, "answer": {"steps": [["u", "w + 18", "w + 19"], ["w", "g + 6", "g + 25"], ["g", "z + 7", "z + 32"], ["z", "y + 8", "y + 40"], ["y", "f + 13", "f + 53"], ["f", 17, "70"]], "target_var_name": "j", "target_value": 70, "value_dict": {"f": 17}, "is_reverse": true}} | 9,571 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = w + 18; y = f + 13; q = f + 7; x = k + 3; k = m + 2; o = t + 10; g = z + 7; f = 17; j = u + 1; m = o + 10; w = g + 6; t = q + 10; z = y + 8. If f = 17, 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 u = w + 18 to j, which gives j = w + 19.\n2. Substitute w = g + 6 to j, which gives j = g + 25.\n3. Substitute g = z + 7 to j, which gives j = z + 32.\n4. Substitute z = y + 8 to j, which gives j = y + 40.\n5. Substitute y = f + 13 to j, which gives j = f + 53.\n6. Substitute f = 17 to j, which gives j = 70.\n\nThus, the final answer is j = \\boxed{70}.",
"index": 9571,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = w + 18; y = f + 13; q = f + 7; x = k + 3; k = m + 2; o = t + 10; g = z + 7; f = 17; j = u + 1; m = o + 10; w = g + 6; t = q + 10; z = y + 8. If f = 17, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"b": "a + 20", "o": "b + 19", "r": "o + 15", "l": "r + 6", "t": "l + 6", "q": "t + 11", "x": "a + 17", "e": "x + 17", "s": "e + 3", "g": "s + 10", "w": "g + 6", "m": "w + 2", "a": 17}, "premises": {"a": 17}, "target": "q"}, "answer": {"steps": [["t", "l + 6", "l + 17"], ["l", "r + 6", "r + 23"], ["r", "o + 15", "o + 38"], ["o", "b + 19", "b + 57"], ["b", "a + 20", "a + 77"], ["a", 17, "94"]], "target_var_name": "q", "target_value": 94, "value_dict": {"a": 17}, "is_reverse": true}} | 9,572 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = b + 19; e = x + 17; m = w + 2; a = 17; s = e + 3; w = g + 6; t = l + 6; g = s + 10; b = a + 20; x = a + 17; q = t + 11; r = o + 15; l = r + 6. If a = 17, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = l + 6 to q, which gives q = l + 17.\n2. Substitute l = r + 6 to q, which gives q = r + 23.\n3. Substitute r = o + 15 to q, which gives q = o + 38.\n4. Substitute o = b + 19 to q, which gives q = b + 57.\n5. Substitute b = a + 20 to q, which gives q = a + 77.\n6. Substitute a = 17 to q, which gives q = 94.\n\nThus, the final answer is q = \\boxed{94}.",
"index": 9572,
"question": "Consider a system of variables where each variable is defined as follows: o = b + 19; e = x + 17; m = w + 2; a = 17; s = e + 3; w = g + 6; t = l + 6; g = s + 10; b = a + 20; x = a + 17; q = t + 11; r = o + 15; l = r + 6. If a = 17, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"t": "q + 1", "h": "t + 3", "o": "h + 16", "n": "o + 18", "u": "n + 8", "m": "u + 7", "b": "q + 1", "x": "b + 19", "r": "x + 17", "k": "r + 6", "a": "k + 11", "g": "a + 18", "q": 14}, "premises": {"q": 14}, "target": "m"}, "answer": {"steps": [["u", "n + 8", "n + 15"], ["n", "o + 18", "o + 33"], ["o", "h + 16", "h + 49"], ["h", "t + 3", "t + 52"], ["t", "q + 1", "q + 53"], ["q", 14, "67"]], "target_var_name": "m", "target_value": 67, "value_dict": {"q": 14}, "is_reverse": true}} | 9,573 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = r + 6; n = o + 18; o = h + 16; u = n + 8; x = b + 19; b = q + 1; a = k + 11; t = q + 1; r = x + 17; h = t + 3; q = 14; m = u + 7; g = a + 18. Given that q = 14, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = n + 8 to m, which gives m = n + 15.\n2. Substitute n = o + 18 to m, which gives m = o + 33.\n3. Substitute o = h + 16 to m, which gives m = h + 49.\n4. Substitute h = t + 3 to m, which gives m = t + 52.\n5. Substitute t = q + 1 to m, which gives m = q + 53.\n6. Substitute q = 14 to m, which gives m = 67.\n\nThus, the final answer is m = \\boxed{67}.",
"index": 9573,
"question": "Suppose a collection of variables is related by the following definitions: k = r + 6; n = o + 18; o = h + 16; u = n + 8; x = b + 19; b = q + 1; a = k + 11; t = q + 1; r = x + 17; h = t + 3; q = 14; m = u + 7; g = a + 18. Given that q = 14, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"p": "m + 7", "o": "p + 10", "r": "o + 17", "f": "r + 8", "y": "f + 18", "q": "y + 9", "b": "m + 12", "s": "b + 6", "i": "s + 15", "g": "i + 5", "l": "g + 7", "c": "l + 8", "m": 12}, "premises": {"m": 12}, "target": "q"}, "answer": {"steps": [["y", "f + 18", "f + 27"], ["f", "r + 8", "r + 35"], ["r", "o + 17", "o + 52"], ["o", "p + 10", "p + 62"], ["p", "m + 7", "m + 69"], ["m", 12, "81"]], "target_var_name": "q", "target_value": 81, "value_dict": {"m": 12}, "is_reverse": true}} | 9,574 | 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 = 12; l = g + 7; c = l + 8; o = p + 10; q = y + 9; b = m + 12; p = m + 7; s = b + 6; i = s + 15; f = r + 8; y = f + 18; g = i + 5; r = o + 17. If m = 12, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = f + 18 to q, which gives q = f + 27.\n2. Substitute f = r + 8 to q, which gives q = r + 35.\n3. Substitute r = o + 17 to q, which gives q = o + 52.\n4. Substitute o = p + 10 to q, which gives q = p + 62.\n5. Substitute p = m + 7 to q, which gives q = m + 69.\n6. Substitute m = 12 to q, which gives q = 81.\n\nThus, the final answer is q = \\boxed{81}.",
"index": 9574,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = 12; l = g + 7; c = l + 8; o = p + 10; q = y + 9; b = m + 12; p = m + 7; s = b + 6; i = s + 15; f = r + 8; y = f + 18; g = i + 5; r = o + 17. If m = 12, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"t": "x + 14", "y": "t + 14", "h": "y + 5", "m": "h + 17", "l": "m + 19", "z": "l + 12", "d": "x + 7", "g": "d + 6", "c": "g + 2", "v": "c + 19", "r": "v + 19", "f": "r + 6", "x": 20}, "premises": {"x": 20}, "target": "z"}, "answer": {"steps": [["l", "m + 19", "m + 31"], ["m", "h + 17", "h + 48"], ["h", "y + 5", "y + 53"], ["y", "t + 14", "t + 67"], ["t", "x + 14", "x + 81"], ["x", 20, "101"]], "target_var_name": "z", "target_value": 101, "value_dict": {"x": 20}, "is_reverse": true}} | 9,575 | 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 = d + 6; d = x + 7; x = 20; c = g + 2; t = x + 14; z = l + 12; h = y + 5; v = c + 19; l = m + 19; f = r + 6; r = v + 19; m = h + 17; y = t + 14. If x = 20, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = m + 19 to z, which gives z = m + 31.\n2. Substitute m = h + 17 to z, which gives z = h + 48.\n3. Substitute h = y + 5 to z, which gives z = y + 53.\n4. Substitute y = t + 14 to z, which gives z = t + 67.\n5. Substitute t = x + 14 to z, which gives z = x + 81.\n6. Substitute x = 20 to z, which gives z = 101.\n\nThus, the final answer is z = \\boxed{101}.",
"index": 9575,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = d + 6; d = x + 7; x = 20; c = g + 2; t = x + 14; z = l + 12; h = y + 5; v = c + 19; l = m + 19; f = r + 6; r = v + 19; m = h + 17; y = t + 14. If x = 20, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"a": "k + 12", "i": "a + 1", "n": "i + 2", "x": "n + 4", "s": "x + 8", "z": "s + 1", "b": "k + 6", "g": "b + 12", "u": "g + 2", "p": "u + 14", "w": "p + 8", "h": "w + 9", "k": 3}, "premises": {"k": 3}, "target": "z"}, "answer": {"steps": [["s", "x + 8", "x + 9"], ["x", "n + 4", "n + 13"], ["n", "i + 2", "i + 15"], ["i", "a + 1", "a + 16"], ["a", "k + 12", "k + 28"], ["k", 3, "31"]], "target_var_name": "z", "target_value": 31, "value_dict": {"k": 3}, "is_reverse": true}} | 9,576 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = k + 12; h = w + 9; z = s + 1; n = i + 2; k = 3; w = p + 8; x = n + 4; g = b + 12; u = g + 2; b = k + 6; i = a + 1; s = x + 8; p = u + 14. Given that k = 3, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 31,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = x + 8 to z, which gives z = x + 9.\n2. Substitute x = n + 4 to z, which gives z = n + 13.\n3. Substitute n = i + 2 to z, which gives z = i + 15.\n4. Substitute i = a + 1 to z, which gives z = a + 16.\n5. Substitute a = k + 12 to z, which gives z = k + 28.\n6. Substitute k = 3 to z, which gives z = 31.\n\nThus, the final answer is z = \\boxed{31}.",
"index": 9576,
"question": "Suppose a collection of variables is related by the following definitions: a = k + 12; h = w + 9; z = s + 1; n = i + 2; k = 3; w = p + 8; x = n + 4; g = b + 12; u = g + 2; b = k + 6; i = a + 1; s = x + 8; p = u + 14. Given that k = 3, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"p": "q + 8", "s": "p + 8", "v": "s + 13", "k": "v + 11", "x": "k + 9", "b": "x + 17", "w": "q + 11", "n": "w + 15", "u": "n + 2", "y": "u + 16", "z": "y + 2", "t": "z + 4", "q": 3}, "premises": {"q": 3}, "target": "b"}, "answer": {"steps": [["x", "k + 9", "k + 26"], ["k", "v + 11", "v + 37"], ["v", "s + 13", "s + 50"], ["s", "p + 8", "p + 58"], ["p", "q + 8", "q + 66"], ["q", 3, "69"]], "target_var_name": "b", "target_value": 69, "value_dict": {"q": 3}, "is_reverse": true}} | 9,577 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = s + 13; k = v + 11; y = u + 16; b = x + 17; q = 3; w = q + 11; n = w + 15; t = z + 4; z = y + 2; s = p + 8; p = q + 8; x = k + 9; u = n + 2. Given that q = 3, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = k + 9 to b, which gives b = k + 26.\n2. Substitute k = v + 11 to b, which gives b = v + 37.\n3. Substitute v = s + 13 to b, which gives b = s + 50.\n4. Substitute s = p + 8 to b, which gives b = p + 58.\n5. Substitute p = q + 8 to b, which gives b = q + 66.\n6. Substitute q = 3 to b, which gives b = 69.\n\nThus, the final answer is b = \\boxed{69}.",
"index": 9577,
"question": "Suppose a collection of variables is related by the following definitions: v = s + 13; k = v + 11; y = u + 16; b = x + 17; q = 3; w = q + 11; n = w + 15; t = z + 4; z = y + 2; s = p + 8; p = q + 8; x = k + 9; u = n + 2. Given that q = 3, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"l": "u + 17", "k": "l + 14", "m": "k + 17", "j": "m + 3", "f": "j + 3", "r": "f + 11", "n": "u + 19", "w": "n + 15", "c": "w + 4", "p": "c + 18", "e": "p + 12", "v": "e + 11", "u": 6}, "premises": {"u": 6}, "target": "r"}, "answer": {"steps": [["f", "j + 3", "j + 14"], ["j", "m + 3", "m + 17"], ["m", "k + 17", "k + 34"], ["k", "l + 14", "l + 48"], ["l", "u + 17", "u + 65"], ["u", 6, "71"]], "target_var_name": "r", "target_value": 71, "value_dict": {"u": 6}, "is_reverse": true}} | 9,578 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = m + 3; w = n + 15; n = u + 19; k = l + 14; e = p + 12; p = c + 18; m = k + 17; u = 6; r = f + 11; l = u + 17; c = w + 4; v = e + 11; f = j + 3. If u = 6, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = j + 3 to r, which gives r = j + 14.\n2. Substitute j = m + 3 to r, which gives r = m + 17.\n3. Substitute m = k + 17 to r, which gives r = k + 34.\n4. Substitute k = l + 14 to r, which gives r = l + 48.\n5. Substitute l = u + 17 to r, which gives r = u + 65.\n6. Substitute u = 6 to r, which gives r = 71.\n\nThus, the final answer is r = \\boxed{71}.",
"index": 9578,
"question": "Consider a system of variables where each variable is defined as follows: j = m + 3; w = n + 15; n = u + 19; k = l + 14; e = p + 12; p = c + 18; m = k + 17; u = 6; r = f + 11; l = u + 17; c = w + 4; v = e + 11; f = j + 3. If u = 6, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"b": "s + 11", "v": "b + 3", "o": "v + 9", "h": "o + 14", "u": "h + 6", "i": "u + 3", "t": "s + 15", "c": "t + 3", "f": "c + 6", "j": "f + 10", "a": "j + 15", "w": "a + 4", "s": 18}, "premises": {"s": 18}, "target": "i"}, "answer": {"steps": [["u", "h + 6", "h + 9"], ["h", "o + 14", "o + 23"], ["o", "v + 9", "v + 32"], ["v", "b + 3", "b + 35"], ["b", "s + 11", "s + 46"], ["s", 18, "64"]], "target_var_name": "i", "target_value": 64, "value_dict": {"s": 18}, "is_reverse": true}} | 9,579 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = j + 15; v = b + 3; f = c + 6; s = 18; o = v + 9; b = s + 11; j = f + 10; c = t + 3; i = u + 3; u = h + 6; w = a + 4; t = s + 15; h = o + 14. If s = 18, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = h + 6 to i, which gives i = h + 9.\n2. Substitute h = o + 14 to i, which gives i = o + 23.\n3. Substitute o = v + 9 to i, which gives i = v + 32.\n4. Substitute v = b + 3 to i, which gives i = b + 35.\n5. Substitute b = s + 11 to i, which gives i = s + 46.\n6. Substitute s = 18 to i, which gives i = 64.\n\nThus, the final answer is i = \\boxed{64}.",
"index": 9579,
"question": "Consider a system of variables where each variable is defined as follows: a = j + 15; v = b + 3; f = c + 6; s = 18; o = v + 9; b = s + 11; j = f + 10; c = t + 3; i = u + 3; u = h + 6; w = a + 4; t = s + 15; h = o + 14. If s = 18, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"y": "h + 14", "w": "y + 10", "v": "w + 9", "j": "v + 19", "e": "j + 11", "u": "e + 8", "q": "h + 16", "f": "q + 12", "i": "f + 19", "n": "i + 19", "d": "n + 3", "r": "d + 11", "h": 6}, "premises": {"h": 6}, "target": "u"}, "answer": {"steps": [["e", "j + 11", "j + 19"], ["j", "v + 19", "v + 38"], ["v", "w + 9", "w + 47"], ["w", "y + 10", "y + 57"], ["y", "h + 14", "h + 71"], ["h", 6, "77"]], "target_var_name": "u", "target_value": 77, "value_dict": {"h": 6}, "is_reverse": true}} | 9,580 | 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 = y + 10; e = j + 11; d = n + 3; h = 6; i = f + 19; y = h + 14; r = d + 11; n = i + 19; j = v + 19; f = q + 12; q = h + 16; u = e + 8; v = w + 9. If h = 6, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = j + 11 to u, which gives u = j + 19.\n2. Substitute j = v + 19 to u, which gives u = v + 38.\n3. Substitute v = w + 9 to u, which gives u = w + 47.\n4. Substitute w = y + 10 to u, which gives u = y + 57.\n5. Substitute y = h + 14 to u, which gives u = h + 71.\n6. Substitute h = 6 to u, which gives u = 77.\n\nThus, the final answer is u = \\boxed{77}.",
"index": 9580,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = y + 10; e = j + 11; d = n + 3; h = 6; i = f + 19; y = h + 14; r = d + 11; n = i + 19; j = v + 19; f = q + 12; q = h + 16; u = e + 8; v = w + 9. If h = 6, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"h": "f + 7", "i": "h + 14", "r": "i + 10", "m": "r + 5", "q": "m + 16", "a": "q + 18", "y": "f + 1", "g": "y + 12", "o": "g + 18", "z": "o + 5", "l": "z + 19", "x": "l + 19", "f": 4}, "premises": {"f": 4}, "target": "a"}, "answer": {"steps": [["q", "m + 16", "m + 34"], ["m", "r + 5", "r + 39"], ["r", "i + 10", "i + 49"], ["i", "h + 14", "h + 63"], ["h", "f + 7", "f + 70"], ["f", 4, "74"]], "target_var_name": "a", "target_value": 74, "value_dict": {"f": 4}, "is_reverse": true}} | 9,581 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = q + 18; g = y + 12; y = f + 1; m = r + 5; l = z + 19; o = g + 18; h = f + 7; i = h + 14; q = m + 16; z = o + 5; r = i + 10; x = l + 19; f = 4. If f = 4, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = m + 16 to a, which gives a = m + 34.\n2. Substitute m = r + 5 to a, which gives a = r + 39.\n3. Substitute r = i + 10 to a, which gives a = i + 49.\n4. Substitute i = h + 14 to a, which gives a = h + 63.\n5. Substitute h = f + 7 to a, which gives a = f + 70.\n6. Substitute f = 4 to a, which gives a = 74.\n\nThus, the final answer is a = \\boxed{74}.",
"index": 9581,
"question": "Consider a system of variables where each variable is defined as follows: a = q + 18; g = y + 12; y = f + 1; m = r + 5; l = z + 19; o = g + 18; h = f + 7; i = h + 14; q = m + 16; z = o + 5; r = i + 10; x = l + 19; f = 4. If f = 4, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"r": "a + 4", "s": "r + 7", "i": "s + 1", "j": "i + 11", "o": "j + 20", "z": "o + 10", "l": "a + 4", "q": "l + 4", "v": "q + 17", "b": "v + 1", "e": "b + 6", "t": "e + 5", "a": 20}, "premises": {"a": 20}, "target": "z"}, "answer": {"steps": [["o", "j + 20", "j + 30"], ["j", "i + 11", "i + 41"], ["i", "s + 1", "s + 42"], ["s", "r + 7", "r + 49"], ["r", "a + 4", "a + 53"], ["a", 20, "73"]], "target_var_name": "z", "target_value": 73, "value_dict": {"a": 20}, "is_reverse": true}} | 9,582 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = s + 1; q = l + 4; v = q + 17; o = j + 20; a = 20; e = b + 6; t = e + 5; b = v + 1; r = a + 4; l = a + 4; s = r + 7; z = o + 10; j = i + 11. Given that a = 20, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = j + 20 to z, which gives z = j + 30.\n2. Substitute j = i + 11 to z, which gives z = i + 41.\n3. Substitute i = s + 1 to z, which gives z = s + 42.\n4. Substitute s = r + 7 to z, which gives z = r + 49.\n5. Substitute r = a + 4 to z, which gives z = a + 53.\n6. Substitute a = 20 to z, which gives z = 73.\n\nThus, the final answer is z = \\boxed{73}.",
"index": 9582,
"question": "Suppose a collection of variables is related by the following definitions: i = s + 1; q = l + 4; v = q + 17; o = j + 20; a = 20; e = b + 6; t = e + 5; b = v + 1; r = a + 4; l = a + 4; s = r + 7; z = o + 10; j = i + 11. Given that a = 20, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"w": "a + 9", "b": "w + 8", "x": "b + 19", "h": "x + 2", "e": "h + 5", "i": "e + 19", "y": "a + 16", "v": "y + 6", "n": "v + 1", "m": "n + 7", "c": "m + 5", "k": "c + 17", "a": 17}, "premises": {"a": 17}, "target": "i"}, "answer": {"steps": [["e", "h + 5", "h + 24"], ["h", "x + 2", "x + 26"], ["x", "b + 19", "b + 45"], ["b", "w + 8", "w + 53"], ["w", "a + 9", "a + 62"], ["a", 17, "79"]], "target_var_name": "i", "target_value": 79, "value_dict": {"a": 17}, "is_reverse": true}} | 9,583 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = a + 16; x = b + 19; e = h + 5; c = m + 5; b = w + 8; i = e + 19; m = n + 7; k = c + 17; v = y + 6; a = 17; n = v + 1; w = a + 9; h = x + 2. Given that a = 17, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = h + 5 to i, which gives i = h + 24.\n2. Substitute h = x + 2 to i, which gives i = x + 26.\n3. Substitute x = b + 19 to i, which gives i = b + 45.\n4. Substitute b = w + 8 to i, which gives i = w + 53.\n5. Substitute w = a + 9 to i, which gives i = a + 62.\n6. Substitute a = 17 to i, which gives i = 79.\n\nThus, the final answer is i = \\boxed{79}.",
"index": 9583,
"question": "Suppose a collection of variables is related by the following definitions: y = a + 16; x = b + 19; e = h + 5; c = m + 5; b = w + 8; i = e + 19; m = n + 7; k = c + 17; v = y + 6; a = 17; n = v + 1; w = a + 9; h = x + 2. Given that a = 17, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"s": "d + 16", "b": "s + 18", "j": "b + 12", "r": "j + 3", "p": "r + 9", "v": "p + 10", "o": "d + 20", "n": "o + 12", "g": "n + 8", "x": "g + 6", "k": "x + 15", "y": "k + 7", "d": 15}, "premises": {"d": 15}, "target": "v"}, "answer": {"steps": [["p", "r + 9", "r + 19"], ["r", "j + 3", "j + 22"], ["j", "b + 12", "b + 34"], ["b", "s + 18", "s + 52"], ["s", "d + 16", "d + 68"], ["d", 15, "83"]], "target_var_name": "v", "target_value": 83, "value_dict": {"d": 15}, "is_reverse": true}} | 9,584 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = x + 15; y = k + 7; g = n + 8; v = p + 10; s = d + 16; x = g + 6; d = 15; n = o + 12; o = d + 20; p = r + 9; b = s + 18; r = j + 3; j = b + 12. Given that d = 15, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = r + 9 to v, which gives v = r + 19.\n2. Substitute r = j + 3 to v, which gives v = j + 22.\n3. Substitute j = b + 12 to v, which gives v = b + 34.\n4. Substitute b = s + 18 to v, which gives v = s + 52.\n5. Substitute s = d + 16 to v, which gives v = d + 68.\n6. Substitute d = 15 to v, which gives v = 83.\n\nThus, the final answer is v = \\boxed{83}.",
"index": 9584,
"question": "Suppose a collection of variables is related by the following definitions: k = x + 15; y = k + 7; g = n + 8; v = p + 10; s = d + 16; x = g + 6; d = 15; n = o + 12; o = d + 20; p = r + 9; b = s + 18; r = j + 3; j = b + 12. Given that d = 15, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"s": "e + 10", "h": "s + 18", "c": "h + 12", "x": "c + 16", "g": "x + 20", "z": "g + 4", "j": "e + 13", "o": "j + 1", "u": "o + 6", "y": "u + 14", "k": "y + 11", "a": "k + 5", "e": 16}, "premises": {"e": 16}, "target": "z"}, "answer": {"steps": [["g", "x + 20", "x + 24"], ["x", "c + 16", "c + 40"], ["c", "h + 12", "h + 52"], ["h", "s + 18", "s + 70"], ["s", "e + 10", "e + 80"], ["e", 16, "96"]], "target_var_name": "z", "target_value": 96, "value_dict": {"e": 16}, "is_reverse": true}} | 9,585 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = g + 4; y = u + 14; e = 16; h = s + 18; k = y + 11; u = o + 6; j = e + 13; o = j + 1; g = x + 20; s = e + 10; x = c + 16; c = h + 12; a = k + 5. Given that e = 16, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = x + 20 to z, which gives z = x + 24.\n2. Substitute x = c + 16 to z, which gives z = c + 40.\n3. Substitute c = h + 12 to z, which gives z = h + 52.\n4. Substitute h = s + 18 to z, which gives z = s + 70.\n5. Substitute s = e + 10 to z, which gives z = e + 80.\n6. Substitute e = 16 to z, which gives z = 96.\n\nThus, the final answer is z = \\boxed{96}.",
"index": 9585,
"question": "Suppose a collection of variables is related by the following definitions: z = g + 4; y = u + 14; e = 16; h = s + 18; k = y + 11; u = o + 6; j = e + 13; o = j + 1; g = x + 20; s = e + 10; x = c + 16; c = h + 12; a = k + 5. Given that e = 16, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"m": "r + 12", "c": "m + 12", "o": "c + 12", "q": "o + 6", "i": "q + 14", "p": "i + 16", "n": "r + 19", "k": "n + 7", "h": "k + 4", "g": "h + 2", "t": "g + 19", "e": "t + 15", "r": 19}, "premises": {"r": 19}, "target": "p"}, "answer": {"steps": [["i", "q + 14", "q + 30"], ["q", "o + 6", "o + 36"], ["o", "c + 12", "c + 48"], ["c", "m + 12", "m + 60"], ["m", "r + 12", "r + 72"], ["r", 19, "91"]], "target_var_name": "p", "target_value": 91, "value_dict": {"r": 19}, "is_reverse": true}} | 9,586 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = g + 19; i = q + 14; o = c + 12; m = r + 12; k = n + 7; c = m + 12; q = o + 6; g = h + 2; n = r + 19; h = k + 4; p = i + 16; r = 19; e = t + 15. Given that r = 19, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = q + 14 to p, which gives p = q + 30.\n2. Substitute q = o + 6 to p, which gives p = o + 36.\n3. Substitute o = c + 12 to p, which gives p = c + 48.\n4. Substitute c = m + 12 to p, which gives p = m + 60.\n5. Substitute m = r + 12 to p, which gives p = r + 72.\n6. Substitute r = 19 to p, which gives p = 91.\n\nThus, the final answer is p = \\boxed{91}.",
"index": 9586,
"question": "Suppose a collection of variables is related by the following definitions: t = g + 19; i = q + 14; o = c + 12; m = r + 12; k = n + 7; c = m + 12; q = o + 6; g = h + 2; n = r + 19; h = k + 4; p = i + 16; r = 19; e = t + 15. Given that r = 19, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"h": "q + 14", "f": "h + 10", "o": "f + 13", "l": "o + 13", "b": "l + 17", "x": "b + 6", "v": "q + 7", "s": "v + 13", "k": "s + 15", "e": "k + 3", "d": "e + 6", "y": "d + 5", "q": 2}, "premises": {"q": 2}, "target": "x"}, "answer": {"steps": [["b", "l + 17", "l + 23"], ["l", "o + 13", "o + 36"], ["o", "f + 13", "f + 49"], ["f", "h + 10", "h + 59"], ["h", "q + 14", "q + 73"], ["q", 2, "75"]], "target_var_name": "x", "target_value": 75, "value_dict": {"q": 2}, "is_reverse": true}} | 9,587 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = b + 6; s = v + 13; f = h + 10; v = q + 7; q = 2; e = k + 3; b = l + 17; o = f + 13; k = s + 15; h = q + 14; l = o + 13; y = d + 5; d = e + 6. If q = 2, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = l + 17 to x, which gives x = l + 23.\n2. Substitute l = o + 13 to x, which gives x = o + 36.\n3. Substitute o = f + 13 to x, which gives x = f + 49.\n4. Substitute f = h + 10 to x, which gives x = h + 59.\n5. Substitute h = q + 14 to x, which gives x = q + 73.\n6. Substitute q = 2 to x, which gives x = 75.\n\nThus, the final answer is x = \\boxed{75}.",
"index": 9587,
"question": "Consider a system of variables where each variable is defined as follows: x = b + 6; s = v + 13; f = h + 10; v = q + 7; q = 2; e = k + 3; b = l + 17; o = f + 13; k = s + 15; h = q + 14; l = o + 13; y = d + 5; d = e + 6. If q = 2, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"e": "o + 11", "d": "e + 18", "n": "d + 4", "l": "n + 15", "u": "l + 10", "x": "u + 17", "q": "o + 17", "h": "q + 7", "k": "h + 11", "j": "k + 5", "y": "j + 11", "t": "y + 15", "o": 2}, "premises": {"o": 2}, "target": "x"}, "answer": {"steps": [["u", "l + 10", "l + 27"], ["l", "n + 15", "n + 42"], ["n", "d + 4", "d + 46"], ["d", "e + 18", "e + 64"], ["e", "o + 11", "o + 75"], ["o", 2, "77"]], "target_var_name": "x", "target_value": 77, "value_dict": {"o": 2}, "is_reverse": true}} | 9,588 | 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 + 11; l = n + 15; o = 2; n = d + 4; x = u + 17; q = o + 17; u = l + 10; e = o + 11; j = k + 5; h = q + 7; d = e + 18; y = j + 11; t = y + 15. If o = 2, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = l + 10 to x, which gives x = l + 27.\n2. Substitute l = n + 15 to x, which gives x = n + 42.\n3. Substitute n = d + 4 to x, which gives x = d + 46.\n4. Substitute d = e + 18 to x, which gives x = e + 64.\n5. Substitute e = o + 11 to x, which gives x = o + 75.\n6. Substitute o = 2 to x, which gives x = 77.\n\nThus, the final answer is x = \\boxed{77}.",
"index": 9588,
"question": "Consider a system of variables where each variable is defined as follows: k = h + 11; l = n + 15; o = 2; n = d + 4; x = u + 17; q = o + 17; u = l + 10; e = o + 11; j = k + 5; h = q + 7; d = e + 18; y = j + 11; t = y + 15. If o = 2, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"s": "a + 2", "m": "s + 6", "d": "m + 8", "u": "d + 14", "i": "u + 19", "x": "i + 9", "p": "a + 19", "z": "p + 9", "k": "z + 16", "g": "k + 16", "r": "g + 5", "o": "r + 13", "a": 2}, "premises": {"a": 2}, "target": "x"}, "answer": {"steps": [["i", "u + 19", "u + 28"], ["u", "d + 14", "d + 42"], ["d", "m + 8", "m + 50"], ["m", "s + 6", "s + 56"], ["s", "a + 2", "a + 58"], ["a", 2, "60"]], "target_var_name": "x", "target_value": 60, "value_dict": {"a": 2}, "is_reverse": true}} | 9,589 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = 2; g = k + 16; s = a + 2; m = s + 6; z = p + 9; p = a + 19; r = g + 5; k = z + 16; d = m + 8; o = r + 13; i = u + 19; u = d + 14; x = i + 9. Given that a = 2, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = u + 19 to x, which gives x = u + 28.\n2. Substitute u = d + 14 to x, which gives x = d + 42.\n3. Substitute d = m + 8 to x, which gives x = m + 50.\n4. Substitute m = s + 6 to x, which gives x = s + 56.\n5. Substitute s = a + 2 to x, which gives x = a + 58.\n6. Substitute a = 2 to x, which gives x = 60.\n\nThus, the final answer is x = \\boxed{60}.",
"index": 9589,
"question": "Suppose a collection of variables is related by the following definitions: a = 2; g = k + 16; s = a + 2; m = s + 6; z = p + 9; p = a + 19; r = g + 5; k = z + 16; d = m + 8; o = r + 13; i = u + 19; u = d + 14; x = i + 9. Given that a = 2, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"y": "z + 11", "w": "y + 13", "m": "w + 2", "v": "m + 20", "e": "v + 17", "c": "e + 13", "o": "z + 4", "t": "o + 5", "h": "t + 12", "k": "h + 14", "x": "k + 3", "j": "x + 8", "z": 7}, "premises": {"z": 7}, "target": "c"}, "answer": {"steps": [["e", "v + 17", "v + 30"], ["v", "m + 20", "m + 50"], ["m", "w + 2", "w + 52"], ["w", "y + 13", "y + 65"], ["y", "z + 11", "z + 76"], ["z", 7, "83"]], "target_var_name": "c", "target_value": 83, "value_dict": {"z": 7}, "is_reverse": true}} | 9,590 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = v + 17; h = t + 12; z = 7; x = k + 3; o = z + 4; y = z + 11; v = m + 20; t = o + 5; k = h + 14; w = y + 13; j = x + 8; c = e + 13; m = w + 2. If z = 7, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = v + 17 to c, which gives c = v + 30.\n2. Substitute v = m + 20 to c, which gives c = m + 50.\n3. Substitute m = w + 2 to c, which gives c = w + 52.\n4. Substitute w = y + 13 to c, which gives c = y + 65.\n5. Substitute y = z + 11 to c, which gives c = z + 76.\n6. Substitute z = 7 to c, which gives c = 83.\n\nThus, the final answer is c = \\boxed{83}.",
"index": 9590,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = v + 17; h = t + 12; z = 7; x = k + 3; o = z + 4; y = z + 11; v = m + 20; t = o + 5; k = h + 14; w = y + 13; j = x + 8; c = e + 13; m = w + 2. If z = 7, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"v": "f + 6", "b": "v + 16", "x": "b + 1", "r": "x + 15", "u": "r + 6", "d": "u + 11", "p": "f + 14", "c": "p + 13", "t": "c + 3", "g": "t + 4", "e": "g + 11", "z": "e + 1", "f": 14}, "premises": {"f": 14}, "target": "d"}, "answer": {"steps": [["u", "r + 6", "r + 17"], ["r", "x + 15", "x + 32"], ["x", "b + 1", "b + 33"], ["b", "v + 16", "v + 49"], ["v", "f + 6", "f + 55"], ["f", 14, "69"]], "target_var_name": "d", "target_value": 69, "value_dict": {"f": 14}, "is_reverse": true}} | 9,591 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = x + 15; t = c + 3; u = r + 6; p = f + 14; g = t + 4; z = e + 1; f = 14; x = b + 1; b = v + 16; c = p + 13; e = g + 11; v = f + 6; d = u + 11. Given that f = 14, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = r + 6 to d, which gives d = r + 17.\n2. Substitute r = x + 15 to d, which gives d = x + 32.\n3. Substitute x = b + 1 to d, which gives d = b + 33.\n4. Substitute b = v + 16 to d, which gives d = v + 49.\n5. Substitute v = f + 6 to d, which gives d = f + 55.\n6. Substitute f = 14 to d, which gives d = 69.\n\nThus, the final answer is d = \\boxed{69}.",
"index": 9591,
"question": "Suppose a collection of variables is related by the following definitions: r = x + 15; t = c + 3; u = r + 6; p = f + 14; g = t + 4; z = e + 1; f = 14; x = b + 1; b = v + 16; c = p + 13; e = g + 11; v = f + 6; d = u + 11. Given that f = 14, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"v": "b + 6", "i": "v + 8", "r": "i + 12", "y": "r + 18", "n": "y + 11", "k": "n + 8", "e": "b + 8", "h": "e + 19", "d": "h + 7", "t": "d + 9", "x": "t + 11", "o": "x + 9", "b": 9}, "premises": {"b": 9}, "target": "k"}, "answer": {"steps": [["n", "y + 11", "y + 19"], ["y", "r + 18", "r + 37"], ["r", "i + 12", "i + 49"], ["i", "v + 8", "v + 57"], ["v", "b + 6", "b + 63"], ["b", 9, "72"]], "target_var_name": "k", "target_value": 72, "value_dict": {"b": 9}, "is_reverse": true}} | 9,592 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = d + 9; o = x + 9; v = b + 6; n = y + 11; e = b + 8; y = r + 18; d = h + 7; i = v + 8; k = n + 8; h = e + 19; b = 9; x = t + 11; r = i + 12. If b = 9, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = y + 11 to k, which gives k = y + 19.\n2. Substitute y = r + 18 to k, which gives k = r + 37.\n3. Substitute r = i + 12 to k, which gives k = i + 49.\n4. Substitute i = v + 8 to k, which gives k = v + 57.\n5. Substitute v = b + 6 to k, which gives k = b + 63.\n6. Substitute b = 9 to k, which gives k = 72.\n\nThus, the final answer is k = \\boxed{72}.",
"index": 9592,
"question": "Consider a system of variables where each variable is defined as follows: t = d + 9; o = x + 9; v = b + 6; n = y + 11; e = b + 8; y = r + 18; d = h + 7; i = v + 8; k = n + 8; h = e + 19; b = 9; x = t + 11; r = i + 12. If b = 9, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"n": "s + 19", "x": "n + 12", "y": "x + 2", "u": "y + 1", "d": "u + 18", "p": "d + 20", "r": "s + 7", "z": "r + 20", "m": "z + 2", "h": "m + 8", "q": "h + 9", "a": "q + 15", "s": 18}, "premises": {"s": 18}, "target": "p"}, "answer": {"steps": [["d", "u + 18", "u + 38"], ["u", "y + 1", "y + 39"], ["y", "x + 2", "x + 41"], ["x", "n + 12", "n + 53"], ["n", "s + 19", "s + 72"], ["s", 18, "90"]], "target_var_name": "p", "target_value": 90, "value_dict": {"s": 18}, "is_reverse": true}} | 9,593 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = z + 2; y = x + 2; a = q + 15; z = r + 20; s = 18; u = y + 1; d = u + 18; q = h + 9; x = n + 12; p = d + 20; r = s + 7; n = s + 19; h = m + 8. Given that s = 18, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = u + 18 to p, which gives p = u + 38.\n2. Substitute u = y + 1 to p, which gives p = y + 39.\n3. Substitute y = x + 2 to p, which gives p = x + 41.\n4. Substitute x = n + 12 to p, which gives p = n + 53.\n5. Substitute n = s + 19 to p, which gives p = s + 72.\n6. Substitute s = 18 to p, which gives p = 90.\n\nThus, the final answer is p = \\boxed{90}.",
"index": 9593,
"question": "Suppose a collection of variables is related by the following definitions: m = z + 2; y = x + 2; a = q + 15; z = r + 20; s = 18; u = y + 1; d = u + 18; q = h + 9; x = n + 12; p = d + 20; r = s + 7; n = s + 19; h = m + 8. Given that s = 18, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"t": "q + 19", "u": "t + 18", "p": "u + 19", "r": "p + 15", "w": "r + 16", "y": "w + 8", "b": "q + 9", "v": "b + 19", "d": "v + 19", "h": "d + 18", "s": "h + 5", "c": "s + 15", "q": 17}, "premises": {"q": 17}, "target": "y"}, "answer": {"steps": [["w", "r + 16", "r + 24"], ["r", "p + 15", "p + 39"], ["p", "u + 19", "u + 58"], ["u", "t + 18", "t + 76"], ["t", "q + 19", "q + 95"], ["q", 17, "112"]], "target_var_name": "y", "target_value": 112, "value_dict": {"q": 17}, "is_reverse": true}} | 9,594 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = t + 18; h = d + 18; r = p + 15; p = u + 19; q = 17; d = v + 19; b = q + 9; s = h + 5; y = w + 8; c = s + 15; t = q + 19; v = b + 19; w = r + 16. If q = 17, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 112,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = r + 16 to y, which gives y = r + 24.\n2. Substitute r = p + 15 to y, which gives y = p + 39.\n3. Substitute p = u + 19 to y, which gives y = u + 58.\n4. Substitute u = t + 18 to y, which gives y = t + 76.\n5. Substitute t = q + 19 to y, which gives y = q + 95.\n6. Substitute q = 17 to y, which gives y = 112.\n\nThus, the final answer is y = \\boxed{112}.",
"index": 9594,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = t + 18; h = d + 18; r = p + 15; p = u + 19; q = 17; d = v + 19; b = q + 9; s = h + 5; y = w + 8; c = s + 15; t = q + 19; v = b + 19; w = r + 16. If q = 17, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"l": "j + 14", "o": "l + 5", "e": "o + 15", "c": "e + 4", "z": "c + 20", "p": "z + 9", "g": "j + 4", "f": "g + 9", "d": "f + 19", "u": "d + 1", "x": "u + 5", "y": "x + 8", "j": 6}, "premises": {"j": 6}, "target": "p"}, "answer": {"steps": [["z", "c + 20", "c + 29"], ["c", "e + 4", "e + 33"], ["e", "o + 15", "o + 48"], ["o", "l + 5", "l + 53"], ["l", "j + 14", "j + 67"], ["j", 6, "73"]], "target_var_name": "p", "target_value": 73, "value_dict": {"j": 6}, "is_reverse": true}} | 9,595 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = e + 4; l = j + 14; f = g + 9; o = l + 5; x = u + 5; y = x + 8; p = z + 9; d = f + 19; e = o + 15; z = c + 20; u = d + 1; j = 6; g = j + 4. If j = 6, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = c + 20 to p, which gives p = c + 29.\n2. Substitute c = e + 4 to p, which gives p = e + 33.\n3. Substitute e = o + 15 to p, which gives p = o + 48.\n4. Substitute o = l + 5 to p, which gives p = l + 53.\n5. Substitute l = j + 14 to p, which gives p = j + 67.\n6. Substitute j = 6 to p, which gives p = 73.\n\nThus, the final answer is p = \\boxed{73}.",
"index": 9595,
"question": "Consider a system of variables where each variable is defined as follows: c = e + 4; l = j + 14; f = g + 9; o = l + 5; x = u + 5; y = x + 8; p = z + 9; d = f + 19; e = o + 15; z = c + 20; u = d + 1; j = 6; g = j + 4. If j = 6, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"g": "a + 20", "c": "g + 6", "e": "c + 9", "r": "e + 15", "x": "r + 12", "y": "x + 4", "q": "a + 15", "t": "q + 11", "m": "t + 5", "i": "m + 20", "l": "i + 2", "u": "l + 1", "a": 1}, "premises": {"a": 1}, "target": "y"}, "answer": {"steps": [["x", "r + 12", "r + 16"], ["r", "e + 15", "e + 31"], ["e", "c + 9", "c + 40"], ["c", "g + 6", "g + 46"], ["g", "a + 20", "a + 66"], ["a", 1, "67"]], "target_var_name": "y", "target_value": 67, "value_dict": {"a": 1}, "is_reverse": true}} | 9,596 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = g + 6; m = t + 5; y = x + 4; r = e + 15; g = a + 20; q = a + 15; x = r + 12; l = i + 2; i = m + 20; u = l + 1; a = 1; t = q + 11; e = c + 9. If a = 1, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = r + 12 to y, which gives y = r + 16.\n2. Substitute r = e + 15 to y, which gives y = e + 31.\n3. Substitute e = c + 9 to y, which gives y = c + 40.\n4. Substitute c = g + 6 to y, which gives y = g + 46.\n5. Substitute g = a + 20 to y, which gives y = a + 66.\n6. Substitute a = 1 to y, which gives y = 67.\n\nThus, the final answer is y = \\boxed{67}.",
"index": 9596,
"question": "Consider a system of variables where each variable is defined as follows: c = g + 6; m = t + 5; y = x + 4; r = e + 15; g = a + 20; q = a + 15; x = r + 12; l = i + 2; i = m + 20; u = l + 1; a = 1; t = q + 11; e = c + 9. If a = 1, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"z": "e + 19", "a": "z + 7", "t": "a + 1", "v": "t + 12", "f": "v + 8", "n": "f + 11", "s": "e + 6", "m": "s + 14", "u": "m + 19", "h": "u + 18", "l": "h + 17", "y": "l + 13", "e": 20}, "premises": {"e": 20}, "target": "n"}, "answer": {"steps": [["f", "v + 8", "v + 19"], ["v", "t + 12", "t + 31"], ["t", "a + 1", "a + 32"], ["a", "z + 7", "z + 39"], ["z", "e + 19", "e + 58"], ["e", 20, "78"]], "target_var_name": "n", "target_value": 78, "value_dict": {"e": 20}, "is_reverse": true}} | 9,597 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = z + 7; h = u + 18; e = 20; u = m + 19; l = h + 17; n = f + 11; z = e + 19; s = e + 6; v = t + 12; t = a + 1; m = s + 14; y = l + 13; f = v + 8. Given that e = 20, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = v + 8 to n, which gives n = v + 19.\n2. Substitute v = t + 12 to n, which gives n = t + 31.\n3. Substitute t = a + 1 to n, which gives n = a + 32.\n4. Substitute a = z + 7 to n, which gives n = z + 39.\n5. Substitute z = e + 19 to n, which gives n = e + 58.\n6. Substitute e = 20 to n, which gives n = 78.\n\nThus, the final answer is n = \\boxed{78}.",
"index": 9597,
"question": "Suppose a collection of variables is related by the following definitions: a = z + 7; h = u + 18; e = 20; u = m + 19; l = h + 17; n = f + 11; z = e + 19; s = e + 6; v = t + 12; t = a + 1; m = s + 14; y = l + 13; f = v + 8. Given that e = 20, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"v": "d + 14", "k": "v + 6", "e": "k + 9", "w": "e + 12", "q": "w + 3", "y": "q + 2", "p": "d + 19", "t": "p + 11", "s": "t + 10", "o": "s + 16", "m": "o + 16", "z": "m + 9", "d": 18}, "premises": {"d": 18}, "target": "y"}, "answer": {"steps": [["q", "w + 3", "w + 5"], ["w", "e + 12", "e + 17"], ["e", "k + 9", "k + 26"], ["k", "v + 6", "v + 32"], ["v", "d + 14", "d + 46"], ["d", 18, "64"]], "target_var_name": "y", "target_value": 64, "value_dict": {"d": 18}, "is_reverse": true}} | 9,598 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = k + 9; o = s + 16; y = q + 2; w = e + 12; v = d + 14; p = d + 19; d = 18; q = w + 3; m = o + 16; k = v + 6; t = p + 11; z = m + 9; s = t + 10. If d = 18, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = w + 3 to y, which gives y = w + 5.\n2. Substitute w = e + 12 to y, which gives y = e + 17.\n3. Substitute e = k + 9 to y, which gives y = k + 26.\n4. Substitute k = v + 6 to y, which gives y = v + 32.\n5. Substitute v = d + 14 to y, which gives y = d + 46.\n6. Substitute d = 18 to y, which gives y = 64.\n\nThus, the final answer is y = \\boxed{64}.",
"index": 9598,
"question": "Consider a system of variables where each variable is defined as follows: e = k + 9; o = s + 16; y = q + 2; w = e + 12; v = d + 14; p = d + 19; d = 18; q = w + 3; m = o + 16; k = v + 6; t = p + 11; z = m + 9; s = t + 10. If d = 18, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"z": "g + 1", "t": "z + 11", "a": "t + 19", "u": "a + 9", "b": "u + 4", "l": "b + 10", "x": "g + 4", "k": "x + 1", "q": "k + 19", "d": "q + 10", "n": "d + 19", "i": "n + 3", "g": 2}, "premises": {"g": 2}, "target": "l"}, "answer": {"steps": [["b", "u + 4", "u + 14"], ["u", "a + 9", "a + 23"], ["a", "t + 19", "t + 42"], ["t", "z + 11", "z + 53"], ["z", "g + 1", "g + 54"], ["g", 2, "56"]], "target_var_name": "l", "target_value": 56, "value_dict": {"g": 2}, "is_reverse": true}} | 9,599 | 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 = k + 19; i = n + 3; x = g + 4; u = a + 9; k = x + 1; a = t + 19; l = b + 10; g = 2; z = g + 1; b = u + 4; d = q + 10; t = z + 11; n = d + 19. If g = 2, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = u + 4 to l, which gives l = u + 14.\n2. Substitute u = a + 9 to l, which gives l = a + 23.\n3. Substitute a = t + 19 to l, which gives l = t + 42.\n4. Substitute t = z + 11 to l, which gives l = z + 53.\n5. Substitute z = g + 1 to l, which gives l = g + 54.\n6. Substitute g = 2 to l, which gives l = 56.\n\nThus, the final answer is l = \\boxed{56}.",
"index": 9599,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = k + 19; i = n + 3; x = g + 4; u = a + 9; k = x + 1; a = t + 19; l = b + 10; g = 2; z = g + 1; b = u + 4; d = q + 10; t = z + 11; n = d + 19. If g = 2, what is the resulting value of l?",
"split": "train"
} |
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