meta stringlengths 493 517 | id int64 0 25.6k | problem_solution_idx int64 0 0 | world_id stringclasses 1 value | data_source stringclasses 1 value | prompt listlengths 1 1 | ability stringclasses 1 value | reward_model dict | extra_info dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"u": "m + 5", "b": "u + 17", "y": "b + 12", "k": "y + 15", "c": "k + 8", "n": "c + 5", "z": "m + 6", "g": "z + 14", "d": "g + 17", "q": "d + 10", "x": "q + 13", "s": "x + 5", "m": 16}, "premises": {"m": 16}, "target": "n"}, "answer": {"steps": [["c", "k + 8", "k + 13"], ["k", "y + 15", "y + 28"], ["y", "b + 12", "b + 40"], ["b", "u + 17", "u + 57"], ["u", "m + 5", "m + 62"], ["m", 16, "78"]], "target_var_name": "n", "target_value": 78, "value_dict": {"m": 16}, "is_reverse": true}} | 17,100 | 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 = x + 5; y = b + 12; q = d + 10; n = c + 5; d = g + 17; z = m + 6; k = y + 15; m = 16; b = u + 17; c = k + 8; u = m + 5; x = q + 13; g = z + 14. If m = 16, what is the resulting 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 c = k + 8 to n, which gives n = k + 13.\n2. Substitute k = y + 15 to n, which gives n = y + 28.\n3. Substitute y = b + 12 to n, which gives n = b + 40.\n4. Substitute b = u + 17 to n, which gives n = u + 57.\n5. Substitute u = m + 5 to n, which gives n = m + 62.\n6. Substitute m = 16 to n, which gives n = 78.\n\nThus, the final answer is n = \\boxed{78}.",
"index": 17100,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = x + 5; y = b + 12; q = d + 10; n = c + 5; d = g + 17; z = m + 6; k = y + 15; m = 16; b = u + 17; c = k + 8; u = m + 5; x = q + 13; g = z + 14. If m = 16, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"f": "r + 20", "q": "f + 18", "n": "q + 18", "s": "n + 12", "b": "s + 8", "o": "b + 1", "d": "r + 16", "k": "d + 1", "g": "k + 11", "j": "g + 20", "m": "j + 20", "y": "m + 7", "r": 6}, "premises": {"r": 6}, "target": "o"}, "answer": {"steps": [["b", "s + 8", "s + 9"], ["s", "n + 12", "n + 21"], ["n", "q + 18", "q + 39"], ["q", "f + 18", "f + 57"], ["f", "r + 20", "r + 77"], ["r", 6, "83"]], "target_var_name": "o", "target_value": 83, "value_dict": {"r": 6}, "is_reverse": true}} | 17,101 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = q + 18; b = s + 8; y = m + 7; f = r + 20; j = g + 20; r = 6; g = k + 11; s = n + 12; d = r + 16; m = j + 20; o = b + 1; q = f + 18; k = d + 1. If r = 6, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = s + 8 to o, which gives o = s + 9.\n2. Substitute s = n + 12 to o, which gives o = n + 21.\n3. Substitute n = q + 18 to o, which gives o = q + 39.\n4. Substitute q = f + 18 to o, which gives o = f + 57.\n5. Substitute f = r + 20 to o, which gives o = r + 77.\n6. Substitute r = 6 to o, which gives o = 83.\n\nThus, the final answer is o = \\boxed{83}.",
"index": 17101,
"question": "Consider a system of variables where each variable is defined as follows: n = q + 18; b = s + 8; y = m + 7; f = r + 20; j = g + 20; r = 6; g = k + 11; s = n + 12; d = r + 16; m = j + 20; o = b + 1; q = f + 18; k = d + 1. If r = 6, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"b": "c + 3", "j": "b + 5", "n": "j + 5", "y": "n + 1", "k": "y + 18", "h": "k + 15", "i": "c + 14", "s": "i + 5", "e": "s + 7", "t": "e + 5", "w": "t + 2", "x": "w + 6", "c": 14}, "premises": {"c": 14}, "target": "h"}, "answer": {"steps": [["k", "y + 18", "y + 33"], ["y", "n + 1", "n + 34"], ["n", "j + 5", "j + 39"], ["j", "b + 5", "b + 44"], ["b", "c + 3", "c + 47"], ["c", 14, "61"]], "target_var_name": "h", "target_value": 61, "value_dict": {"c": 14}, "is_reverse": true}} | 17,102 | 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 = t + 2; i = c + 14; n = j + 5; c = 14; e = s + 7; h = k + 15; t = e + 5; b = c + 3; k = y + 18; j = b + 5; s = i + 5; x = w + 6; y = n + 1. If c = 14, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = y + 18 to h, which gives h = y + 33.\n2. Substitute y = n + 1 to h, which gives h = n + 34.\n3. Substitute n = j + 5 to h, which gives h = j + 39.\n4. Substitute j = b + 5 to h, which gives h = b + 44.\n5. Substitute b = c + 3 to h, which gives h = c + 47.\n6. Substitute c = 14 to h, which gives h = 61.\n\nThus, the final answer is h = \\boxed{61}.",
"index": 17102,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = t + 2; i = c + 14; n = j + 5; c = 14; e = s + 7; h = k + 15; t = e + 5; b = c + 3; k = y + 18; j = b + 5; s = i + 5; x = w + 6; y = n + 1. If c = 14, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"h": "j + 3", "v": "h + 2", "x": "v + 11", "w": "x + 4", "p": "w + 14", "s": "p + 2", "o": "j + 4", "b": "o + 19", "q": "b + 19", "k": "q + 8", "y": "k + 5", "d": "y + 14", "j": 7}, "premises": {"j": 7}, "target": "s"}, "answer": {"steps": [["p", "w + 14", "w + 16"], ["w", "x + 4", "x + 20"], ["x", "v + 11", "v + 31"], ["v", "h + 2", "h + 33"], ["h", "j + 3", "j + 36"], ["j", 7, "43"]], "target_var_name": "s", "target_value": 43, "value_dict": {"j": 7}, "is_reverse": true}} | 17,103 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = v + 11; p = w + 14; b = o + 19; s = p + 2; j = 7; y = k + 5; h = j + 3; k = q + 8; v = h + 2; q = b + 19; d = y + 14; o = j + 4; w = x + 4. Given that j = 7, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = w + 14 to s, which gives s = w + 16.\n2. Substitute w = x + 4 to s, which gives s = x + 20.\n3. Substitute x = v + 11 to s, which gives s = v + 31.\n4. Substitute v = h + 2 to s, which gives s = h + 33.\n5. Substitute h = j + 3 to s, which gives s = j + 36.\n6. Substitute j = 7 to s, which gives s = 43.\n\nThus, the final answer is s = \\boxed{43}.",
"index": 17103,
"question": "Suppose a collection of variables is related by the following definitions: x = v + 11; p = w + 14; b = o + 19; s = p + 2; j = 7; y = k + 5; h = j + 3; k = q + 8; v = h + 2; q = b + 19; d = y + 14; o = j + 4; w = x + 4. Given that j = 7, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"w": "i + 5", "m": "w + 5", "a": "m + 5", "s": "a + 12", "f": "s + 11", "v": "f + 12", "p": "i + 5", "e": "p + 8", "q": "e + 19", "c": "q + 14", "g": "c + 15", "l": "g + 18", "i": 1}, "premises": {"i": 1}, "target": "v"}, "answer": {"steps": [["f", "s + 11", "s + 23"], ["s", "a + 12", "a + 35"], ["a", "m + 5", "m + 40"], ["m", "w + 5", "w + 45"], ["w", "i + 5", "i + 50"], ["i", 1, "51"]], "target_var_name": "v", "target_value": 51, "value_dict": {"i": 1}, "is_reverse": true}} | 17,104 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = e + 19; v = f + 12; f = s + 11; a = m + 5; s = a + 12; m = w + 5; c = q + 14; l = g + 18; e = p + 8; i = 1; g = c + 15; p = i + 5; w = i + 5. If i = 1, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = s + 11 to v, which gives v = s + 23.\n2. Substitute s = a + 12 to v, which gives v = a + 35.\n3. Substitute a = m + 5 to v, which gives v = m + 40.\n4. Substitute m = w + 5 to v, which gives v = w + 45.\n5. Substitute w = i + 5 to v, which gives v = i + 50.\n6. Substitute i = 1 to v, which gives v = 51.\n\nThus, the final answer is v = \\boxed{51}.",
"index": 17104,
"question": "Consider a system of variables where each variable is defined as follows: q = e + 19; v = f + 12; f = s + 11; a = m + 5; s = a + 12; m = w + 5; c = q + 14; l = g + 18; e = p + 8; i = 1; g = c + 15; p = i + 5; w = i + 5. If i = 1, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"v": "h + 5", "q": "v + 1", "y": "q + 20", "d": "y + 6", "c": "d + 20", "j": "c + 8", "n": "h + 12", "m": "n + 15", "e": "m + 19", "k": "e + 12", "f": "k + 18", "x": "f + 14", "h": 5}, "premises": {"h": 5}, "target": "j"}, "answer": {"steps": [["c", "d + 20", "d + 28"], ["d", "y + 6", "y + 34"], ["y", "q + 20", "q + 54"], ["q", "v + 1", "v + 55"], ["v", "h + 5", "h + 60"], ["h", 5, "65"]], "target_var_name": "j", "target_value": 65, "value_dict": {"h": 5}, "is_reverse": true}} | 17,105 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = d + 20; k = e + 12; f = k + 18; q = v + 1; e = m + 19; j = c + 8; h = 5; x = f + 14; d = y + 6; y = q + 20; n = h + 12; v = h + 5; m = n + 15. If h = 5, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = d + 20 to j, which gives j = d + 28.\n2. Substitute d = y + 6 to j, which gives j = y + 34.\n3. Substitute y = q + 20 to j, which gives j = q + 54.\n4. Substitute q = v + 1 to j, which gives j = v + 55.\n5. Substitute v = h + 5 to j, which gives j = h + 60.\n6. Substitute h = 5 to j, which gives j = 65.\n\nThus, the final answer is j = \\boxed{65}.",
"index": 17105,
"question": "Consider a system of variables where each variable is defined as follows: c = d + 20; k = e + 12; f = k + 18; q = v + 1; e = m + 19; j = c + 8; h = 5; x = f + 14; d = y + 6; y = q + 20; n = h + 12; v = h + 5; m = n + 15. If h = 5, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"g": "e + 5", "h": "g + 17", "a": "h + 9", "u": "a + 18", "z": "u + 5", "q": "z + 9", "m": "e + 18", "r": "m + 3", "p": "r + 18", "n": "p + 15", "f": "n + 18", "t": "f + 9", "e": 5}, "premises": {"e": 5}, "target": "q"}, "answer": {"steps": [["z", "u + 5", "u + 14"], ["u", "a + 18", "a + 32"], ["a", "h + 9", "h + 41"], ["h", "g + 17", "g + 58"], ["g", "e + 5", "e + 63"], ["e", 5, "68"]], "target_var_name": "q", "target_value": 68, "value_dict": {"e": 5}, "is_reverse": true}} | 17,106 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = a + 18; q = z + 9; t = f + 9; e = 5; z = u + 5; p = r + 18; n = p + 15; r = m + 3; g = e + 5; m = e + 18; a = h + 9; f = n + 18; h = g + 17. Given that e = 5, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = u + 5 to q, which gives q = u + 14.\n2. Substitute u = a + 18 to q, which gives q = a + 32.\n3. Substitute a = h + 9 to q, which gives q = h + 41.\n4. Substitute h = g + 17 to q, which gives q = g + 58.\n5. Substitute g = e + 5 to q, which gives q = e + 63.\n6. Substitute e = 5 to q, which gives q = 68.\n\nThus, the final answer is q = \\boxed{68}.",
"index": 17106,
"question": "Suppose a collection of variables is related by the following definitions: u = a + 18; q = z + 9; t = f + 9; e = 5; z = u + 5; p = r + 18; n = p + 15; r = m + 3; g = e + 5; m = e + 18; a = h + 9; f = n + 18; h = g + 17. Given that e = 5, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"k": "x + 4", "j": "k + 12", "y": "j + 5", "z": "y + 7", "i": "z + 4", "s": "i + 17", "q": "x + 3", "r": "q + 10", "g": "r + 12", "u": "g + 6", "o": "u + 17", "b": "o + 10", "x": 15}, "premises": {"x": 15}, "target": "s"}, "answer": {"steps": [["i", "z + 4", "z + 21"], ["z", "y + 7", "y + 28"], ["y", "j + 5", "j + 33"], ["j", "k + 12", "k + 45"], ["k", "x + 4", "x + 49"], ["x", 15, "64"]], "target_var_name": "s", "target_value": 64, "value_dict": {"x": 15}, "is_reverse": true}} | 17,107 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = u + 17; j = k + 12; g = r + 12; i = z + 4; k = x + 4; q = x + 3; u = g + 6; b = o + 10; r = q + 10; y = j + 5; x = 15; z = y + 7; s = i + 17. If x = 15, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = z + 4 to s, which gives s = z + 21.\n2. Substitute z = y + 7 to s, which gives s = y + 28.\n3. Substitute y = j + 5 to s, which gives s = j + 33.\n4. Substitute j = k + 12 to s, which gives s = k + 45.\n5. Substitute k = x + 4 to s, which gives s = x + 49.\n6. Substitute x = 15 to s, which gives s = 64.\n\nThus, the final answer is s = \\boxed{64}.",
"index": 17107,
"question": "Consider a system of variables where each variable is defined as follows: o = u + 17; j = k + 12; g = r + 12; i = z + 4; k = x + 4; q = x + 3; u = g + 6; b = o + 10; r = q + 10; y = j + 5; x = 15; z = y + 7; s = i + 17. If x = 15, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"x": "i + 3", "a": "x + 14", "l": "a + 19", "e": "l + 1", "c": "e + 8", "v": "c + 12", "g": "i + 9", "u": "g + 2", "o": "u + 20", "h": "o + 8", "f": "h + 4", "q": "f + 7", "i": 12}, "premises": {"i": 12}, "target": "v"}, "answer": {"steps": [["c", "e + 8", "e + 20"], ["e", "l + 1", "l + 21"], ["l", "a + 19", "a + 40"], ["a", "x + 14", "x + 54"], ["x", "i + 3", "i + 57"], ["i", 12, "69"]], "target_var_name": "v", "target_value": 69, "value_dict": {"i": 12}, "is_reverse": true}} | 17,108 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = h + 4; i = 12; q = f + 7; v = c + 12; h = o + 8; e = l + 1; g = i + 9; a = x + 14; o = u + 20; c = e + 8; l = a + 19; x = i + 3; u = g + 2. If i = 12, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = e + 8 to v, which gives v = e + 20.\n2. Substitute e = l + 1 to v, which gives v = l + 21.\n3. Substitute l = a + 19 to v, which gives v = a + 40.\n4. Substitute a = x + 14 to v, which gives v = x + 54.\n5. Substitute x = i + 3 to v, which gives v = i + 57.\n6. Substitute i = 12 to v, which gives v = 69.\n\nThus, the final answer is v = \\boxed{69}.",
"index": 17108,
"question": "Consider a system of variables where each variable is defined as follows: f = h + 4; i = 12; q = f + 7; v = c + 12; h = o + 8; e = l + 1; g = i + 9; a = x + 14; o = u + 20; c = e + 8; l = a + 19; x = i + 3; u = g + 2. If i = 12, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"h": "c + 14", "j": "h + 1", "r": "j + 5", "d": "r + 20", "b": "d + 1", "w": "b + 13", "a": "c + 4", "t": "a + 2", "i": "t + 1", "m": "i + 6", "n": "m + 2", "p": "n + 11", "c": 18}, "premises": {"c": 18}, "target": "w"}, "answer": {"steps": [["b", "d + 1", "d + 14"], ["d", "r + 20", "r + 34"], ["r", "j + 5", "j + 39"], ["j", "h + 1", "h + 40"], ["h", "c + 14", "c + 54"], ["c", 18, "72"]], "target_var_name": "w", "target_value": 72, "value_dict": {"c": 18}, "is_reverse": true}} | 17,109 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = h + 1; w = b + 13; r = j + 5; a = c + 4; p = n + 11; b = d + 1; n = m + 2; h = c + 14; m = i + 6; c = 18; t = a + 2; i = t + 1; d = r + 20. If c = 18, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = d + 1 to w, which gives w = d + 14.\n2. Substitute d = r + 20 to w, which gives w = r + 34.\n3. Substitute r = j + 5 to w, which gives w = j + 39.\n4. Substitute j = h + 1 to w, which gives w = h + 40.\n5. Substitute h = c + 14 to w, which gives w = c + 54.\n6. Substitute c = 18 to w, which gives w = 72.\n\nThus, the final answer is w = \\boxed{72}.",
"index": 17109,
"question": "Consider a system of variables where each variable is defined as follows: j = h + 1; w = b + 13; r = j + 5; a = c + 4; p = n + 11; b = d + 1; n = m + 2; h = c + 14; m = i + 6; c = 18; t = a + 2; i = t + 1; d = r + 20. If c = 18, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"b": "p + 3", "n": "b + 2", "m": "n + 19", "e": "m + 13", "j": "e + 14", "c": "j + 2", "v": "p + 10", "k": "v + 3", "s": "k + 17", "d": "s + 5", "z": "d + 5", "l": "z + 1", "p": 1}, "premises": {"p": 1}, "target": "c"}, "answer": {"steps": [["j", "e + 14", "e + 16"], ["e", "m + 13", "m + 29"], ["m", "n + 19", "n + 48"], ["n", "b + 2", "b + 50"], ["b", "p + 3", "p + 53"], ["p", 1, "54"]], "target_var_name": "c", "target_value": 54, "value_dict": {"p": 1}, "is_reverse": true}} | 17,110 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = z + 1; c = j + 2; n = b + 2; k = v + 3; m = n + 19; j = e + 14; b = p + 3; v = p + 10; p = 1; z = d + 5; e = m + 13; d = s + 5; s = k + 17. Given that p = 1, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = e + 14 to c, which gives c = e + 16.\n2. Substitute e = m + 13 to c, which gives c = m + 29.\n3. Substitute m = n + 19 to c, which gives c = n + 48.\n4. Substitute n = b + 2 to c, which gives c = b + 50.\n5. Substitute b = p + 3 to c, which gives c = p + 53.\n6. Substitute p = 1 to c, which gives c = 54.\n\nThus, the final answer is c = \\boxed{54}.",
"index": 17110,
"question": "Suppose a collection of variables is related by the following definitions: l = z + 1; c = j + 2; n = b + 2; k = v + 3; m = n + 19; j = e + 14; b = p + 3; v = p + 10; p = 1; z = d + 5; e = m + 13; d = s + 5; s = k + 17. Given that p = 1, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"f": "b + 13", "n": "f + 20", "u": "n + 9", "y": "u + 12", "z": "y + 15", "l": "z + 15", "s": "b + 11", "q": "s + 16", "t": "q + 9", "j": "t + 3", "p": "j + 8", "v": "p + 15", "b": 15}, "premises": {"b": 15}, "target": "l"}, "answer": {"steps": [["z", "y + 15", "y + 30"], ["y", "u + 12", "u + 42"], ["u", "n + 9", "n + 51"], ["n", "f + 20", "f + 71"], ["f", "b + 13", "b + 84"], ["b", 15, "99"]], "target_var_name": "l", "target_value": 99, "value_dict": {"b": 15}, "is_reverse": true}} | 17,111 | 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 = b + 11; u = n + 9; z = y + 15; t = q + 9; f = b + 13; p = j + 8; j = t + 3; y = u + 12; l = z + 15; b = 15; v = p + 15; q = s + 16; n = f + 20. If b = 15, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = y + 15 to l, which gives l = y + 30.\n2. Substitute y = u + 12 to l, which gives l = u + 42.\n3. Substitute u = n + 9 to l, which gives l = n + 51.\n4. Substitute n = f + 20 to l, which gives l = f + 71.\n5. Substitute f = b + 13 to l, which gives l = b + 84.\n6. Substitute b = 15 to l, which gives l = 99.\n\nThus, the final answer is l = \\boxed{99}.",
"index": 17111,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = b + 11; u = n + 9; z = y + 15; t = q + 9; f = b + 13; p = j + 8; j = t + 3; y = u + 12; l = z + 15; b = 15; v = p + 15; q = s + 16; n = f + 20. If b = 15, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"j": "s + 16", "v": "j + 3", "r": "v + 16", "p": "r + 6", "t": "p + 5", "a": "t + 20", "d": "s + 8", "m": "d + 7", "x": "m + 11", "z": "x + 11", "f": "z + 5", "w": "f + 4", "s": 6}, "premises": {"s": 6}, "target": "a"}, "answer": {"steps": [["t", "p + 5", "p + 25"], ["p", "r + 6", "r + 31"], ["r", "v + 16", "v + 47"], ["v", "j + 3", "j + 50"], ["j", "s + 16", "s + 66"], ["s", 6, "72"]], "target_var_name": "a", "target_value": 72, "value_dict": {"s": 6}, "is_reverse": true}} | 17,112 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = d + 7; s = 6; w = f + 4; j = s + 16; v = j + 3; p = r + 6; r = v + 16; d = s + 8; x = m + 11; f = z + 5; t = p + 5; a = t + 20; z = x + 11. Given that s = 6, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = p + 5 to a, which gives a = p + 25.\n2. Substitute p = r + 6 to a, which gives a = r + 31.\n3. Substitute r = v + 16 to a, which gives a = v + 47.\n4. Substitute v = j + 3 to a, which gives a = j + 50.\n5. Substitute j = s + 16 to a, which gives a = s + 66.\n6. Substitute s = 6 to a, which gives a = 72.\n\nThus, the final answer is a = \\boxed{72}.",
"index": 17112,
"question": "Suppose a collection of variables is related by the following definitions: m = d + 7; s = 6; w = f + 4; j = s + 16; v = j + 3; p = r + 6; r = v + 16; d = s + 8; x = m + 11; f = z + 5; t = p + 5; a = t + 20; z = x + 11. Given that s = 6, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"d": "c + 10", "k": "d + 19", "t": "k + 9", "e": "t + 18", "m": "e + 8", "j": "m + 8", "x": "c + 14", "n": "x + 1", "f": "n + 15", "w": "f + 7", "p": "w + 13", "o": "p + 15", "c": 9}, "premises": {"c": 9}, "target": "j"}, "answer": {"steps": [["m", "e + 8", "e + 16"], ["e", "t + 18", "t + 34"], ["t", "k + 9", "k + 43"], ["k", "d + 19", "d + 62"], ["d", "c + 10", "c + 72"], ["c", 9, "81"]], "target_var_name": "j", "target_value": 81, "value_dict": {"c": 9}, "is_reverse": true}} | 17,113 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = e + 8; t = k + 9; c = 9; e = t + 18; w = f + 7; p = w + 13; x = c + 14; f = n + 15; j = m + 8; n = x + 1; o = p + 15; d = c + 10; k = d + 19. If c = 9, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = e + 8 to j, which gives j = e + 16.\n2. Substitute e = t + 18 to j, which gives j = t + 34.\n3. Substitute t = k + 9 to j, which gives j = k + 43.\n4. Substitute k = d + 19 to j, which gives j = d + 62.\n5. Substitute d = c + 10 to j, which gives j = c + 72.\n6. Substitute c = 9 to j, which gives j = 81.\n\nThus, the final answer is j = \\boxed{81}.",
"index": 17113,
"question": "Consider a system of variables where each variable is defined as follows: m = e + 8; t = k + 9; c = 9; e = t + 18; w = f + 7; p = w + 13; x = c + 14; f = n + 15; j = m + 8; n = x + 1; o = p + 15; d = c + 10; k = d + 19. If c = 9, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"h": "i + 19", "j": "h + 5", "n": "j + 12", "u": "n + 7", "x": "u + 19", "d": "x + 11", "o": "i + 9", "w": "o + 10", "y": "w + 14", "c": "y + 17", "f": "c + 2", "l": "f + 3", "i": 19}, "premises": {"i": 19}, "target": "d"}, "answer": {"steps": [["x", "u + 19", "u + 30"], ["u", "n + 7", "n + 37"], ["n", "j + 12", "j + 49"], ["j", "h + 5", "h + 54"], ["h", "i + 19", "i + 73"], ["i", 19, "92"]], "target_var_name": "d", "target_value": 92, "value_dict": {"i": 19}, "is_reverse": true}} | 17,114 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = j + 12; x = u + 19; l = f + 3; j = h + 5; i = 19; d = x + 11; h = i + 19; y = w + 14; o = i + 9; f = c + 2; u = n + 7; w = o + 10; c = y + 17. If i = 19, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = u + 19 to d, which gives d = u + 30.\n2. Substitute u = n + 7 to d, which gives d = n + 37.\n3. Substitute n = j + 12 to d, which gives d = j + 49.\n4. Substitute j = h + 5 to d, which gives d = h + 54.\n5. Substitute h = i + 19 to d, which gives d = i + 73.\n6. Substitute i = 19 to d, which gives d = 92.\n\nThus, the final answer is d = \\boxed{92}.",
"index": 17114,
"question": "Consider a system of variables where each variable is defined as follows: n = j + 12; x = u + 19; l = f + 3; j = h + 5; i = 19; d = x + 11; h = i + 19; y = w + 14; o = i + 9; f = c + 2; u = n + 7; w = o + 10; c = y + 17. If i = 19, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"f": "a + 3", "o": "f + 13", "w": "o + 11", "t": "w + 4", "v": "t + 15", "n": "v + 5", "b": "a + 20", "d": "b + 9", "z": "d + 2", "s": "z + 7", "l": "s + 4", "q": "l + 9", "a": 17}, "premises": {"a": 17}, "target": "n"}, "answer": {"steps": [["v", "t + 15", "t + 20"], ["t", "w + 4", "w + 24"], ["w", "o + 11", "o + 35"], ["o", "f + 13", "f + 48"], ["f", "a + 3", "a + 51"], ["a", 17, "68"]], "target_var_name": "n", "target_value": 68, "value_dict": {"a": 17}, "is_reverse": true}} | 17,115 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = w + 4; o = f + 13; z = d + 2; f = a + 3; s = z + 7; l = s + 4; a = 17; v = t + 15; w = o + 11; d = b + 9; n = v + 5; b = a + 20; q = l + 9. If a = 17, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = t + 15 to n, which gives n = t + 20.\n2. Substitute t = w + 4 to n, which gives n = w + 24.\n3. Substitute w = o + 11 to n, which gives n = o + 35.\n4. Substitute o = f + 13 to n, which gives n = f + 48.\n5. Substitute f = a + 3 to n, which gives n = a + 51.\n6. Substitute a = 17 to n, which gives n = 68.\n\nThus, the final answer is n = \\boxed{68}.",
"index": 17115,
"question": "Consider a system of variables where each variable is defined as follows: t = w + 4; o = f + 13; z = d + 2; f = a + 3; s = z + 7; l = s + 4; a = 17; v = t + 15; w = o + 11; d = b + 9; n = v + 5; b = a + 20; q = l + 9. If a = 17, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"o": "r + 1", "t": "o + 18", "h": "t + 10", "u": "h + 16", "w": "u + 13", "v": "w + 14", "f": "r + 3", "j": "f + 13", "c": "j + 2", "x": "c + 16", "s": "x + 15", "k": "s + 17", "r": 10}, "premises": {"r": 10}, "target": "v"}, "answer": {"steps": [["w", "u + 13", "u + 27"], ["u", "h + 16", "h + 43"], ["h", "t + 10", "t + 53"], ["t", "o + 18", "o + 71"], ["o", "r + 1", "r + 72"], ["r", 10, "82"]], "target_var_name": "v", "target_value": 82, "value_dict": {"r": 10}, "is_reverse": true}} | 17,116 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = u + 13; t = o + 18; h = t + 10; v = w + 14; o = r + 1; r = 10; k = s + 17; u = h + 16; f = r + 3; s = x + 15; c = j + 2; j = f + 13; x = c + 16. If r = 10, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = u + 13 to v, which gives v = u + 27.\n2. Substitute u = h + 16 to v, which gives v = h + 43.\n3. Substitute h = t + 10 to v, which gives v = t + 53.\n4. Substitute t = o + 18 to v, which gives v = o + 71.\n5. Substitute o = r + 1 to v, which gives v = r + 72.\n6. Substitute r = 10 to v, which gives v = 82.\n\nThus, the final answer is v = \\boxed{82}.",
"index": 17116,
"question": "Consider a system of variables where each variable is defined as follows: w = u + 13; t = o + 18; h = t + 10; v = w + 14; o = r + 1; r = 10; k = s + 17; u = h + 16; f = r + 3; s = x + 15; c = j + 2; j = f + 13; x = c + 16. If r = 10, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"f": "n + 6", "o": "f + 7", "p": "o + 4", "h": "p + 8", "a": "h + 9", "i": "a + 15", "w": "n + 5", "g": "w + 20", "c": "g + 20", "d": "c + 19", "u": "d + 14", "j": "u + 1", "n": 1}, "premises": {"n": 1}, "target": "i"}, "answer": {"steps": [["a", "h + 9", "h + 24"], ["h", "p + 8", "p + 32"], ["p", "o + 4", "o + 36"], ["o", "f + 7", "f + 43"], ["f", "n + 6", "n + 49"], ["n", 1, "50"]], "target_var_name": "i", "target_value": 50, "value_dict": {"n": 1}, "is_reverse": true}} | 17,117 | 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 + 20; j = u + 1; n = 1; g = w + 20; w = n + 5; p = o + 4; o = f + 7; u = d + 14; i = a + 15; f = n + 6; d = c + 19; h = p + 8; a = h + 9. If n = 1, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = h + 9 to i, which gives i = h + 24.\n2. Substitute h = p + 8 to i, which gives i = p + 32.\n3. Substitute p = o + 4 to i, which gives i = o + 36.\n4. Substitute o = f + 7 to i, which gives i = f + 43.\n5. Substitute f = n + 6 to i, which gives i = n + 49.\n6. Substitute n = 1 to i, which gives i = 50.\n\nThus, the final answer is i = \\boxed{50}.",
"index": 17117,
"question": "Consider a system of variables where each variable is defined as follows: c = g + 20; j = u + 1; n = 1; g = w + 20; w = n + 5; p = o + 4; o = f + 7; u = d + 14; i = a + 15; f = n + 6; d = c + 19; h = p + 8; a = h + 9. If n = 1, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"m": "b + 7", "g": "m + 16", "r": "g + 13", "p": "r + 17", "j": "p + 11", "s": "j + 13", "t": "b + 6", "v": "t + 3", "h": "v + 5", "f": "h + 2", "e": "f + 14", "z": "e + 9", "b": 12}, "premises": {"b": 12}, "target": "s"}, "answer": {"steps": [["j", "p + 11", "p + 24"], ["p", "r + 17", "r + 41"], ["r", "g + 13", "g + 54"], ["g", "m + 16", "m + 70"], ["m", "b + 7", "b + 77"], ["b", 12, "89"]], "target_var_name": "s", "target_value": 89, "value_dict": {"b": 12}, "is_reverse": true}} | 17,118 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = p + 11; v = t + 3; m = b + 7; f = h + 2; g = m + 16; h = v + 5; b = 12; s = j + 13; e = f + 14; p = r + 17; r = g + 13; t = b + 6; z = e + 9. If b = 12, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = p + 11 to s, which gives s = p + 24.\n2. Substitute p = r + 17 to s, which gives s = r + 41.\n3. Substitute r = g + 13 to s, which gives s = g + 54.\n4. Substitute g = m + 16 to s, which gives s = m + 70.\n5. Substitute m = b + 7 to s, which gives s = b + 77.\n6. Substitute b = 12 to s, which gives s = 89.\n\nThus, the final answer is s = \\boxed{89}.",
"index": 17118,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = p + 11; v = t + 3; m = b + 7; f = h + 2; g = m + 16; h = v + 5; b = 12; s = j + 13; e = f + 14; p = r + 17; r = g + 13; t = b + 6; z = e + 9. If b = 12, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"j": "i + 4", "y": "j + 16", "h": "y + 5", "q": "h + 4", "m": "q + 15", "t": "m + 13", "a": "i + 19", "k": "a + 3", "p": "k + 18", "f": "p + 4", "x": "f + 10", "w": "x + 1", "i": 14}, "premises": {"i": 14}, "target": "t"}, "answer": {"steps": [["m", "q + 15", "q + 28"], ["q", "h + 4", "h + 32"], ["h", "y + 5", "y + 37"], ["y", "j + 16", "j + 53"], ["j", "i + 4", "i + 57"], ["i", 14, "71"]], "target_var_name": "t", "target_value": 71, "value_dict": {"i": 14}, "is_reverse": true}} | 17,119 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = f + 10; h = y + 5; y = j + 16; k = a + 3; a = i + 19; f = p + 4; q = h + 4; p = k + 18; i = 14; t = m + 13; m = q + 15; w = x + 1; j = i + 4. Given that i = 14, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = q + 15 to t, which gives t = q + 28.\n2. Substitute q = h + 4 to t, which gives t = h + 32.\n3. Substitute h = y + 5 to t, which gives t = y + 37.\n4. Substitute y = j + 16 to t, which gives t = j + 53.\n5. Substitute j = i + 4 to t, which gives t = i + 57.\n6. Substitute i = 14 to t, which gives t = 71.\n\nThus, the final answer is t = \\boxed{71}.",
"index": 17119,
"question": "Suppose a collection of variables is related by the following definitions: x = f + 10; h = y + 5; y = j + 16; k = a + 3; a = i + 19; f = p + 4; q = h + 4; p = k + 18; i = 14; t = m + 13; m = q + 15; w = x + 1; j = i + 4. Given that i = 14, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"v": "i + 12", "h": "v + 18", "k": "h + 10", "d": "k + 15", "g": "d + 18", "a": "g + 13", "s": "i + 3", "n": "s + 8", "e": "n + 9", "l": "e + 11", "w": "l + 5", "z": "w + 4", "i": 12}, "premises": {"i": 12}, "target": "a"}, "answer": {"steps": [["g", "d + 18", "d + 31"], ["d", "k + 15", "k + 46"], ["k", "h + 10", "h + 56"], ["h", "v + 18", "v + 74"], ["v", "i + 12", "i + 86"], ["i", 12, "98"]], "target_var_name": "a", "target_value": 98, "value_dict": {"i": 12}, "is_reverse": true}} | 17,120 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = w + 4; n = s + 8; l = e + 11; w = l + 5; h = v + 18; d = k + 15; v = i + 12; e = n + 9; s = i + 3; i = 12; g = d + 18; a = g + 13; k = h + 10. If i = 12, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = d + 18 to a, which gives a = d + 31.\n2. Substitute d = k + 15 to a, which gives a = k + 46.\n3. Substitute k = h + 10 to a, which gives a = h + 56.\n4. Substitute h = v + 18 to a, which gives a = v + 74.\n5. Substitute v = i + 12 to a, which gives a = i + 86.\n6. Substitute i = 12 to a, which gives a = 98.\n\nThus, the final answer is a = \\boxed{98}.",
"index": 17120,
"question": "Consider a system of variables where each variable is defined as follows: z = w + 4; n = s + 8; l = e + 11; w = l + 5; h = v + 18; d = k + 15; v = i + 12; e = n + 9; s = i + 3; i = 12; g = d + 18; a = g + 13; k = h + 10. If i = 12, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"q": "h + 4", "x": "q + 18", "a": "x + 6", "m": "a + 14", "t": "m + 18", "p": "t + 14", "n": "h + 14", "i": "n + 4", "o": "i + 5", "y": "o + 2", "k": "y + 14", "d": "k + 18", "h": 15}, "premises": {"h": 15}, "target": "p"}, "answer": {"steps": [["t", "m + 18", "m + 32"], ["m", "a + 14", "a + 46"], ["a", "x + 6", "x + 52"], ["x", "q + 18", "q + 70"], ["q", "h + 4", "h + 74"], ["h", 15, "89"]], "target_var_name": "p", "target_value": 89, "value_dict": {"h": 15}, "is_reverse": true}} | 17,121 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = y + 14; d = k + 18; o = i + 5; a = x + 6; t = m + 18; y = o + 2; i = n + 4; x = q + 18; m = a + 14; h = 15; q = h + 4; p = t + 14; n = h + 14. If h = 15, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = m + 18 to p, which gives p = m + 32.\n2. Substitute m = a + 14 to p, which gives p = a + 46.\n3. Substitute a = x + 6 to p, which gives p = x + 52.\n4. Substitute x = q + 18 to p, which gives p = q + 70.\n5. Substitute q = h + 4 to p, which gives p = h + 74.\n6. Substitute h = 15 to p, which gives p = 89.\n\nThus, the final answer is p = \\boxed{89}.",
"index": 17121,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = y + 14; d = k + 18; o = i + 5; a = x + 6; t = m + 18; y = o + 2; i = n + 4; x = q + 18; m = a + 14; h = 15; q = h + 4; p = t + 14; n = h + 14. If h = 15, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"g": "m + 5", "h": "g + 7", "l": "h + 11", "v": "l + 15", "e": "v + 3", "b": "e + 14", "n": "m + 1", "p": "n + 1", "c": "p + 19", "z": "c + 3", "w": "z + 14", "d": "w + 14", "m": 7}, "premises": {"m": 7}, "target": "b"}, "answer": {"steps": [["e", "v + 3", "v + 17"], ["v", "l + 15", "l + 32"], ["l", "h + 11", "h + 43"], ["h", "g + 7", "g + 50"], ["g", "m + 5", "m + 55"], ["m", 7, "62"]], "target_var_name": "b", "target_value": 62, "value_dict": {"m": 7}, "is_reverse": true}} | 17,122 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = p + 19; d = w + 14; h = g + 7; w = z + 14; v = l + 15; p = n + 1; b = e + 14; z = c + 3; n = m + 1; m = 7; g = m + 5; l = h + 11; e = v + 3. If m = 7, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = v + 3 to b, which gives b = v + 17.\n2. Substitute v = l + 15 to b, which gives b = l + 32.\n3. Substitute l = h + 11 to b, which gives b = h + 43.\n4. Substitute h = g + 7 to b, which gives b = g + 50.\n5. Substitute g = m + 5 to b, which gives b = m + 55.\n6. Substitute m = 7 to b, which gives b = 62.\n\nThus, the final answer is b = \\boxed{62}.",
"index": 17122,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = p + 19; d = w + 14; h = g + 7; w = z + 14; v = l + 15; p = n + 1; b = e + 14; z = c + 3; n = m + 1; m = 7; g = m + 5; l = h + 11; e = v + 3. If m = 7, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"x": "j + 8", "d": "x + 4", "y": "d + 13", "h": "y + 8", "w": "h + 12", "n": "w + 2", "k": "j + 13", "u": "k + 17", "a": "u + 12", "c": "a + 7", "q": "c + 3", "m": "q + 4", "j": 17}, "premises": {"j": 17}, "target": "n"}, "answer": {"steps": [["w", "h + 12", "h + 14"], ["h", "y + 8", "y + 22"], ["y", "d + 13", "d + 35"], ["d", "x + 4", "x + 39"], ["x", "j + 8", "j + 47"], ["j", 17, "64"]], "target_var_name": "n", "target_value": 64, "value_dict": {"j": 17}, "is_reverse": true}} | 17,123 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = x + 4; u = k + 17; m = q + 4; y = d + 13; n = w + 2; a = u + 12; k = j + 13; q = c + 3; c = a + 7; w = h + 12; x = j + 8; h = y + 8; j = 17. If j = 17, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = h + 12 to n, which gives n = h + 14.\n2. Substitute h = y + 8 to n, which gives n = y + 22.\n3. Substitute y = d + 13 to n, which gives n = d + 35.\n4. Substitute d = x + 4 to n, which gives n = x + 39.\n5. Substitute x = j + 8 to n, which gives n = j + 47.\n6. Substitute j = 17 to n, which gives n = 64.\n\nThus, the final answer is n = \\boxed{64}.",
"index": 17123,
"question": "Consider a system of variables where each variable is defined as follows: d = x + 4; u = k + 17; m = q + 4; y = d + 13; n = w + 2; a = u + 12; k = j + 13; q = c + 3; c = a + 7; w = h + 12; x = j + 8; h = y + 8; j = 17. If j = 17, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"l": "f + 18", "o": "l + 8", "w": "o + 10", "i": "w + 13", "r": "i + 17", "h": "r + 7", "n": "f + 15", "t": "n + 15", "y": "t + 5", "m": "y + 6", "k": "m + 5", "z": "k + 14", "f": 6}, "premises": {"f": 6}, "target": "h"}, "answer": {"steps": [["r", "i + 17", "i + 24"], ["i", "w + 13", "w + 37"], ["w", "o + 10", "o + 47"], ["o", "l + 8", "l + 55"], ["l", "f + 18", "f + 73"], ["f", 6, "79"]], "target_var_name": "h", "target_value": 79, "value_dict": {"f": 6}, "is_reverse": true}} | 17,124 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = o + 10; k = m + 5; m = y + 6; i = w + 13; r = i + 17; t = n + 15; n = f + 15; f = 6; h = r + 7; l = f + 18; y = t + 5; o = l + 8; z = k + 14. If f = 6, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = i + 17 to h, which gives h = i + 24.\n2. Substitute i = w + 13 to h, which gives h = w + 37.\n3. Substitute w = o + 10 to h, which gives h = o + 47.\n4. Substitute o = l + 8 to h, which gives h = l + 55.\n5. Substitute l = f + 18 to h, which gives h = f + 73.\n6. Substitute f = 6 to h, which gives h = 79.\n\nThus, the final answer is h = \\boxed{79}.",
"index": 17124,
"question": "Consider a system of variables where each variable is defined as follows: w = o + 10; k = m + 5; m = y + 6; i = w + 13; r = i + 17; t = n + 15; n = f + 15; f = 6; h = r + 7; l = f + 18; y = t + 5; o = l + 8; z = k + 14. If f = 6, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"k": "j + 5", "c": "k + 8", "t": "c + 14", "g": "t + 12", "e": "g + 8", "r": "e + 6", "d": "j + 8", "v": "d + 16", "i": "v + 9", "l": "i + 1", "f": "l + 19", "p": "f + 13", "j": 2}, "premises": {"j": 2}, "target": "r"}, "answer": {"steps": [["e", "g + 8", "g + 14"], ["g", "t + 12", "t + 26"], ["t", "c + 14", "c + 40"], ["c", "k + 8", "k + 48"], ["k", "j + 5", "j + 53"], ["j", 2, "55"]], "target_var_name": "r", "target_value": 55, "value_dict": {"j": 2}, "is_reverse": true}} | 17,125 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = t + 12; t = c + 14; v = d + 16; d = j + 8; p = f + 13; r = e + 6; e = g + 8; c = k + 8; k = j + 5; l = i + 1; f = l + 19; j = 2; i = v + 9. If j = 2, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = g + 8 to r, which gives r = g + 14.\n2. Substitute g = t + 12 to r, which gives r = t + 26.\n3. Substitute t = c + 14 to r, which gives r = c + 40.\n4. Substitute c = k + 8 to r, which gives r = k + 48.\n5. Substitute k = j + 5 to r, which gives r = j + 53.\n6. Substitute j = 2 to r, which gives r = 55.\n\nThus, the final answer is r = \\boxed{55}.",
"index": 17125,
"question": "Consider a system of variables where each variable is defined as follows: g = t + 12; t = c + 14; v = d + 16; d = j + 8; p = f + 13; r = e + 6; e = g + 8; c = k + 8; k = j + 5; l = i + 1; f = l + 19; j = 2; i = v + 9. If j = 2, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"d": "z + 17", "v": "d + 12", "p": "v + 10", "w": "p + 18", "o": "w + 13", "c": "o + 10", "g": "z + 9", "s": "g + 5", "y": "s + 13", "m": "y + 18", "l": "m + 11", "k": "l + 5", "z": 5}, "premises": {"z": 5}, "target": "c"}, "answer": {"steps": [["o", "w + 13", "w + 23"], ["w", "p + 18", "p + 41"], ["p", "v + 10", "v + 51"], ["v", "d + 12", "d + 63"], ["d", "z + 17", "z + 80"], ["z", 5, "85"]], "target_var_name": "c", "target_value": 85, "value_dict": {"z": 5}, "is_reverse": true}} | 17,126 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = m + 11; y = s + 13; w = p + 18; d = z + 17; v = d + 12; o = w + 13; z = 5; k = l + 5; m = y + 18; s = g + 5; p = v + 10; c = o + 10; g = z + 9. Given that z = 5, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = w + 13 to c, which gives c = w + 23.\n2. Substitute w = p + 18 to c, which gives c = p + 41.\n3. Substitute p = v + 10 to c, which gives c = v + 51.\n4. Substitute v = d + 12 to c, which gives c = d + 63.\n5. Substitute d = z + 17 to c, which gives c = z + 80.\n6. Substitute z = 5 to c, which gives c = 85.\n\nThus, the final answer is c = \\boxed{85}.",
"index": 17126,
"question": "Suppose a collection of variables is related by the following definitions: l = m + 11; y = s + 13; w = p + 18; d = z + 17; v = d + 12; o = w + 13; z = 5; k = l + 5; m = y + 18; s = g + 5; p = v + 10; c = o + 10; g = z + 9. Given that z = 5, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"l": "k + 16", "g": "l + 10", "e": "g + 17", "b": "e + 10", "n": "b + 1", "z": "n + 7", "i": "k + 20", "f": "i + 15", "t": "f + 4", "r": "t + 1", "m": "r + 16", "o": "m + 17", "k": 4}, "premises": {"k": 4}, "target": "z"}, "answer": {"steps": [["n", "b + 1", "b + 8"], ["b", "e + 10", "e + 18"], ["e", "g + 17", "g + 35"], ["g", "l + 10", "l + 45"], ["l", "k + 16", "k + 61"], ["k", 4, "65"]], "target_var_name": "z", "target_value": 65, "value_dict": {"k": 4}, "is_reverse": true}} | 17,127 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = n + 7; l = k + 16; i = k + 20; e = g + 17; f = i + 15; k = 4; m = r + 16; o = m + 17; t = f + 4; g = l + 10; r = t + 1; b = e + 10; n = b + 1. If k = 4, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = b + 1 to z, which gives z = b + 8.\n2. Substitute b = e + 10 to z, which gives z = e + 18.\n3. Substitute e = g + 17 to z, which gives z = g + 35.\n4. Substitute g = l + 10 to z, which gives z = l + 45.\n5. Substitute l = k + 16 to z, which gives z = k + 61.\n6. Substitute k = 4 to z, which gives z = 65.\n\nThus, the final answer is z = \\boxed{65}.",
"index": 17127,
"question": "Consider a system of variables where each variable is defined as follows: z = n + 7; l = k + 16; i = k + 20; e = g + 17; f = i + 15; k = 4; m = r + 16; o = m + 17; t = f + 4; g = l + 10; r = t + 1; b = e + 10; n = b + 1. If k = 4, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"f": "v + 18", "w": "f + 15", "s": "w + 18", "n": "s + 3", "q": "n + 7", "t": "q + 13", "h": "v + 2", "b": "h + 20", "z": "b + 10", "d": "z + 16", "m": "d + 19", "i": "m + 19", "v": 12}, "premises": {"v": 12}, "target": "t"}, "answer": {"steps": [["q", "n + 7", "n + 20"], ["n", "s + 3", "s + 23"], ["s", "w + 18", "w + 41"], ["w", "f + 15", "f + 56"], ["f", "v + 18", "v + 74"], ["v", 12, "86"]], "target_var_name": "t", "target_value": 86, "value_dict": {"v": 12}, "is_reverse": true}} | 17,128 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = h + 20; i = m + 19; n = s + 3; t = q + 13; z = b + 10; s = w + 18; f = v + 18; h = v + 2; q = n + 7; d = z + 16; m = d + 19; w = f + 15; v = 12. Given that v = 12, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = n + 7 to t, which gives t = n + 20.\n2. Substitute n = s + 3 to t, which gives t = s + 23.\n3. Substitute s = w + 18 to t, which gives t = w + 41.\n4. Substitute w = f + 15 to t, which gives t = f + 56.\n5. Substitute f = v + 18 to t, which gives t = v + 74.\n6. Substitute v = 12 to t, which gives t = 86.\n\nThus, the final answer is t = \\boxed{86}.",
"index": 17128,
"question": "Suppose a collection of variables is related by the following definitions: b = h + 20; i = m + 19; n = s + 3; t = q + 13; z = b + 10; s = w + 18; f = v + 18; h = v + 2; q = n + 7; d = z + 16; m = d + 19; w = f + 15; v = 12. Given that v = 12, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"b": "p + 11", "r": "b + 17", "q": "r + 3", "n": "q + 13", "u": "n + 6", "s": "u + 2", "d": "p + 20", "h": "d + 10", "a": "h + 17", "v": "a + 14", "l": "v + 16", "c": "l + 16", "p": 11}, "premises": {"p": 11}, "target": "s"}, "answer": {"steps": [["u", "n + 6", "n + 8"], ["n", "q + 13", "q + 21"], ["q", "r + 3", "r + 24"], ["r", "b + 17", "b + 41"], ["b", "p + 11", "p + 52"], ["p", 11, "63"]], "target_var_name": "s", "target_value": 63, "value_dict": {"p": 11}, "is_reverse": true}} | 17,129 | 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 = u + 2; b = p + 11; h = d + 10; q = r + 3; p = 11; r = b + 17; v = a + 14; d = p + 20; a = h + 17; u = n + 6; l = v + 16; n = q + 13; c = l + 16. If p = 11, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = n + 6 to s, which gives s = n + 8.\n2. Substitute n = q + 13 to s, which gives s = q + 21.\n3. Substitute q = r + 3 to s, which gives s = r + 24.\n4. Substitute r = b + 17 to s, which gives s = b + 41.\n5. Substitute b = p + 11 to s, which gives s = p + 52.\n6. Substitute p = 11 to s, which gives s = 63.\n\nThus, the final answer is s = \\boxed{63}.",
"index": 17129,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = u + 2; b = p + 11; h = d + 10; q = r + 3; p = 11; r = b + 17; v = a + 14; d = p + 20; a = h + 17; u = n + 6; l = v + 16; n = q + 13; c = l + 16. If p = 11, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"p": "l + 9", "k": "p + 2", "m": "k + 19", "v": "m + 19", "g": "v + 13", "h": "g + 8", "b": "l + 1", "c": "b + 12", "d": "c + 2", "s": "d + 6", "a": "s + 6", "u": "a + 9", "l": 6}, "premises": {"l": 6}, "target": "h"}, "answer": {"steps": [["g", "v + 13", "v + 21"], ["v", "m + 19", "m + 40"], ["m", "k + 19", "k + 59"], ["k", "p + 2", "p + 61"], ["p", "l + 9", "l + 70"], ["l", 6, "76"]], "target_var_name": "h", "target_value": 76, "value_dict": {"l": 6}, "is_reverse": true}} | 17,130 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = l + 9; a = s + 6; v = m + 19; m = k + 19; b = l + 1; s = d + 6; u = a + 9; c = b + 12; d = c + 2; l = 6; g = v + 13; k = p + 2; h = g + 8. Given that l = 6, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = v + 13 to h, which gives h = v + 21.\n2. Substitute v = m + 19 to h, which gives h = m + 40.\n3. Substitute m = k + 19 to h, which gives h = k + 59.\n4. Substitute k = p + 2 to h, which gives h = p + 61.\n5. Substitute p = l + 9 to h, which gives h = l + 70.\n6. Substitute l = 6 to h, which gives h = 76.\n\nThus, the final answer is h = \\boxed{76}.",
"index": 17130,
"question": "Suppose a collection of variables is related by the following definitions: p = l + 9; a = s + 6; v = m + 19; m = k + 19; b = l + 1; s = d + 6; u = a + 9; c = b + 12; d = c + 2; l = 6; g = v + 13; k = p + 2; h = g + 8. Given that l = 6, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"d": "z + 6", "n": "d + 4", "l": "n + 1", "w": "l + 4", "m": "w + 19", "q": "m + 15", "s": "z + 10", "k": "s + 16", "x": "k + 3", "u": "x + 1", "t": "u + 4", "r": "t + 5", "z": 18}, "premises": {"z": 18}, "target": "q"}, "answer": {"steps": [["m", "w + 19", "w + 34"], ["w", "l + 4", "l + 38"], ["l", "n + 1", "n + 39"], ["n", "d + 4", "d + 43"], ["d", "z + 6", "z + 49"], ["z", 18, "67"]], "target_var_name": "q", "target_value": 67, "value_dict": {"z": 18}, "is_reverse": true}} | 17,131 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = w + 19; n = d + 4; t = u + 4; r = t + 5; u = x + 1; q = m + 15; z = 18; w = l + 4; x = k + 3; d = z + 6; l = n + 1; s = z + 10; k = s + 16. If z = 18, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = w + 19 to q, which gives q = w + 34.\n2. Substitute w = l + 4 to q, which gives q = l + 38.\n3. Substitute l = n + 1 to q, which gives q = n + 39.\n4. Substitute n = d + 4 to q, which gives q = d + 43.\n5. Substitute d = z + 6 to q, which gives q = z + 49.\n6. Substitute z = 18 to q, which gives q = 67.\n\nThus, the final answer is q = \\boxed{67}.",
"index": 17131,
"question": "Consider a system of variables where each variable is defined as follows: m = w + 19; n = d + 4; t = u + 4; r = t + 5; u = x + 1; q = m + 15; z = 18; w = l + 4; x = k + 3; d = z + 6; l = n + 1; s = z + 10; k = s + 16. If z = 18, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"e": "r + 5", "d": "e + 17", "x": "d + 18", "h": "x + 15", "g": "h + 15", "u": "g + 3", "w": "r + 20", "a": "w + 13", "q": "a + 8", "t": "q + 15", "s": "t + 14", "k": "s + 2", "r": 10}, "premises": {"r": 10}, "target": "u"}, "answer": {"steps": [["g", "h + 15", "h + 18"], ["h", "x + 15", "x + 33"], ["x", "d + 18", "d + 51"], ["d", "e + 17", "e + 68"], ["e", "r + 5", "r + 73"], ["r", 10, "83"]], "target_var_name": "u", "target_value": 83, "value_dict": {"r": 10}, "is_reverse": true}} | 17,132 | 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 = 10; a = w + 13; w = r + 20; q = a + 8; e = r + 5; t = q + 15; u = g + 3; g = h + 15; h = x + 15; k = s + 2; s = t + 14; x = d + 18; d = e + 17. If r = 10, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = h + 15 to u, which gives u = h + 18.\n2. Substitute h = x + 15 to u, which gives u = x + 33.\n3. Substitute x = d + 18 to u, which gives u = d + 51.\n4. Substitute d = e + 17 to u, which gives u = e + 68.\n5. Substitute e = r + 5 to u, which gives u = r + 73.\n6. Substitute r = 10 to u, which gives u = 83.\n\nThus, the final answer is u = \\boxed{83}.",
"index": 17132,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = 10; a = w + 13; w = r + 20; q = a + 8; e = r + 5; t = q + 15; u = g + 3; g = h + 15; h = x + 15; k = s + 2; s = t + 14; x = d + 18; d = e + 17. If r = 10, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"n": "k + 13", "y": "n + 9", "u": "y + 10", "w": "u + 18", "l": "w + 3", "p": "l + 20", "z": "k + 5", "g": "z + 8", "j": "g + 17", "r": "j + 18", "q": "r + 19", "x": "q + 10", "k": 6}, "premises": {"k": 6}, "target": "p"}, "answer": {"steps": [["l", "w + 3", "w + 23"], ["w", "u + 18", "u + 41"], ["u", "y + 10", "y + 51"], ["y", "n + 9", "n + 60"], ["n", "k + 13", "k + 73"], ["k", 6, "79"]], "target_var_name": "p", "target_value": 79, "value_dict": {"k": 6}, "is_reverse": true}} | 17,133 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = k + 5; u = y + 10; n = k + 13; j = g + 17; y = n + 9; k = 6; r = j + 18; x = q + 10; p = l + 20; l = w + 3; q = r + 19; g = z + 8; w = u + 18. Given that k = 6, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = w + 3 to p, which gives p = w + 23.\n2. Substitute w = u + 18 to p, which gives p = u + 41.\n3. Substitute u = y + 10 to p, which gives p = y + 51.\n4. Substitute y = n + 9 to p, which gives p = n + 60.\n5. Substitute n = k + 13 to p, which gives p = k + 73.\n6. Substitute k = 6 to p, which gives p = 79.\n\nThus, the final answer is p = \\boxed{79}.",
"index": 17133,
"question": "Suppose a collection of variables is related by the following definitions: z = k + 5; u = y + 10; n = k + 13; j = g + 17; y = n + 9; k = 6; r = j + 18; x = q + 10; p = l + 20; l = w + 3; q = r + 19; g = z + 8; w = u + 18. Given that k = 6, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"l": "u + 7", "n": "l + 15", "v": "n + 19", "f": "v + 17", "r": "f + 8", "p": "r + 11", "s": "u + 9", "c": "s + 7", "t": "c + 11", "k": "t + 16", "d": "k + 5", "o": "d + 17", "u": 2}, "premises": {"u": 2}, "target": "p"}, "answer": {"steps": [["r", "f + 8", "f + 19"], ["f", "v + 17", "v + 36"], ["v", "n + 19", "n + 55"], ["n", "l + 15", "l + 70"], ["l", "u + 7", "u + 77"], ["u", 2, "79"]], "target_var_name": "p", "target_value": 79, "value_dict": {"u": 2}, "is_reverse": true}} | 17,134 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = c + 11; f = v + 17; n = l + 15; p = r + 11; k = t + 16; s = u + 9; c = s + 7; l = u + 7; u = 2; o = d + 17; v = n + 19; r = f + 8; d = k + 5. Given that u = 2, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = f + 8 to p, which gives p = f + 19.\n2. Substitute f = v + 17 to p, which gives p = v + 36.\n3. Substitute v = n + 19 to p, which gives p = n + 55.\n4. Substitute n = l + 15 to p, which gives p = l + 70.\n5. Substitute l = u + 7 to p, which gives p = u + 77.\n6. Substitute u = 2 to p, which gives p = 79.\n\nThus, the final answer is p = \\boxed{79}.",
"index": 17134,
"question": "Suppose a collection of variables is related by the following definitions: t = c + 11; f = v + 17; n = l + 15; p = r + 11; k = t + 16; s = u + 9; c = s + 7; l = u + 7; u = 2; o = d + 17; v = n + 19; r = f + 8; d = k + 5. Given that u = 2, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"d": "z + 14", "r": "d + 3", "c": "r + 6", "o": "c + 14", "w": "o + 14", "j": "w + 7", "s": "z + 2", "q": "s + 1", "l": "q + 17", "k": "l + 16", "x": "k + 9", "i": "x + 9", "z": 15}, "premises": {"z": 15}, "target": "j"}, "answer": {"steps": [["w", "o + 14", "o + 21"], ["o", "c + 14", "c + 35"], ["c", "r + 6", "r + 41"], ["r", "d + 3", "d + 44"], ["d", "z + 14", "z + 58"], ["z", 15, "73"]], "target_var_name": "j", "target_value": 73, "value_dict": {"z": 15}, "is_reverse": true}} | 17,135 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = 15; r = d + 3; q = s + 1; c = r + 6; j = w + 7; i = x + 9; s = z + 2; l = q + 17; k = l + 16; d = z + 14; o = c + 14; w = o + 14; x = k + 9. If z = 15, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = o + 14 to j, which gives j = o + 21.\n2. Substitute o = c + 14 to j, which gives j = c + 35.\n3. Substitute c = r + 6 to j, which gives j = r + 41.\n4. Substitute r = d + 3 to j, which gives j = d + 44.\n5. Substitute d = z + 14 to j, which gives j = z + 58.\n6. Substitute z = 15 to j, which gives j = 73.\n\nThus, the final answer is j = \\boxed{73}.",
"index": 17135,
"question": "Consider a system of variables where each variable is defined as follows: z = 15; r = d + 3; q = s + 1; c = r + 6; j = w + 7; i = x + 9; s = z + 2; l = q + 17; k = l + 16; d = z + 14; o = c + 14; w = o + 14; x = k + 9. If z = 15, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"t": "v + 10", "g": "t + 14", "b": "g + 15", "r": "b + 8", "k": "r + 9", "f": "k + 7", "q": "v + 12", "o": "q + 9", "e": "o + 18", "m": "e + 11", "l": "m + 11", "s": "l + 6", "v": 12}, "premises": {"v": 12}, "target": "f"}, "answer": {"steps": [["k", "r + 9", "r + 16"], ["r", "b + 8", "b + 24"], ["b", "g + 15", "g + 39"], ["g", "t + 14", "t + 53"], ["t", "v + 10", "v + 63"], ["v", 12, "75"]], "target_var_name": "f", "target_value": 75, "value_dict": {"v": 12}, "is_reverse": true}} | 17,136 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = q + 9; g = t + 14; l = m + 11; q = v + 12; r = b + 8; v = 12; s = l + 6; t = v + 10; k = r + 9; m = e + 11; e = o + 18; b = g + 15; f = k + 7. If v = 12, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = r + 9 to f, which gives f = r + 16.\n2. Substitute r = b + 8 to f, which gives f = b + 24.\n3. Substitute b = g + 15 to f, which gives f = g + 39.\n4. Substitute g = t + 14 to f, which gives f = t + 53.\n5. Substitute t = v + 10 to f, which gives f = v + 63.\n6. Substitute v = 12 to f, which gives f = 75.\n\nThus, the final answer is f = \\boxed{75}.",
"index": 17136,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = q + 9; g = t + 14; l = m + 11; q = v + 12; r = b + 8; v = 12; s = l + 6; t = v + 10; k = r + 9; m = e + 11; e = o + 18; b = g + 15; f = k + 7. If v = 12, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"w": "h + 11", "s": "w + 6", "c": "s + 2", "v": "c + 10", "g": "v + 8", "n": "g + 12", "l": "h + 6", "a": "l + 7", "x": "a + 17", "q": "x + 19", "k": "q + 19", "z": "k + 9", "h": 3}, "premises": {"h": 3}, "target": "n"}, "answer": {"steps": [["g", "v + 8", "v + 20"], ["v", "c + 10", "c + 30"], ["c", "s + 2", "s + 32"], ["s", "w + 6", "w + 38"], ["w", "h + 11", "h + 49"], ["h", 3, "52"]], "target_var_name": "n", "target_value": 52, "value_dict": {"h": 3}, "is_reverse": true}} | 17,137 | 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 = c + 10; c = s + 2; k = q + 19; w = h + 11; q = x + 19; h = 3; l = h + 6; z = k + 9; g = v + 8; x = a + 17; n = g + 12; s = w + 6; a = l + 7. If h = 3, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = v + 8 to n, which gives n = v + 20.\n2. Substitute v = c + 10 to n, which gives n = c + 30.\n3. Substitute c = s + 2 to n, which gives n = s + 32.\n4. Substitute s = w + 6 to n, which gives n = w + 38.\n5. Substitute w = h + 11 to n, which gives n = h + 49.\n6. Substitute h = 3 to n, which gives n = 52.\n\nThus, the final answer is n = \\boxed{52}.",
"index": 17137,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = c + 10; c = s + 2; k = q + 19; w = h + 11; q = x + 19; h = 3; l = h + 6; z = k + 9; g = v + 8; x = a + 17; n = g + 12; s = w + 6; a = l + 7. If h = 3, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"t": "z + 11", "q": "t + 9", "v": "q + 1", "s": "v + 7", "r": "s + 13", "j": "r + 4", "p": "z + 20", "g": "p + 18", "a": "g + 11", "h": "a + 16", "c": "h + 9", "b": "c + 10", "z": 2}, "premises": {"z": 2}, "target": "j"}, "answer": {"steps": [["r", "s + 13", "s + 17"], ["s", "v + 7", "v + 24"], ["v", "q + 1", "q + 25"], ["q", "t + 9", "t + 34"], ["t", "z + 11", "z + 45"], ["z", 2, "47"]], "target_var_name": "j", "target_value": 47, "value_dict": {"z": 2}, "is_reverse": true}} | 17,138 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = c + 10; c = h + 9; g = p + 18; h = a + 16; p = z + 20; q = t + 9; t = z + 11; s = v + 7; v = q + 1; z = 2; a = g + 11; r = s + 13; j = r + 4. If z = 2, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = s + 13 to j, which gives j = s + 17.\n2. Substitute s = v + 7 to j, which gives j = v + 24.\n3. Substitute v = q + 1 to j, which gives j = q + 25.\n4. Substitute q = t + 9 to j, which gives j = t + 34.\n5. Substitute t = z + 11 to j, which gives j = z + 45.\n6. Substitute z = 2 to j, which gives j = 47.\n\nThus, the final answer is j = \\boxed{47}.",
"index": 17138,
"question": "Consider a system of variables where each variable is defined as follows: b = c + 10; c = h + 9; g = p + 18; h = a + 16; p = z + 20; q = t + 9; t = z + 11; s = v + 7; v = q + 1; z = 2; a = g + 11; r = s + 13; j = r + 4. If z = 2, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"r": "p + 19", "q": "r + 12", "z": "q + 16", "k": "z + 9", "y": "k + 18", "f": "y + 13", "u": "p + 18", "s": "u + 16", "t": "s + 3", "e": "t + 3", "a": "e + 1", "l": "a + 16", "p": 7}, "premises": {"p": 7}, "target": "f"}, "answer": {"steps": [["y", "k + 18", "k + 31"], ["k", "z + 9", "z + 40"], ["z", "q + 16", "q + 56"], ["q", "r + 12", "r + 68"], ["r", "p + 19", "p + 87"], ["p", 7, "94"]], "target_var_name": "f", "target_value": 94, "value_dict": {"p": 7}, "is_reverse": true}} | 17,139 | 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 = p + 19; y = k + 18; z = q + 16; k = z + 9; t = s + 3; l = a + 16; p = 7; f = y + 13; e = t + 3; u = p + 18; s = u + 16; a = e + 1; q = r + 12. If p = 7, what is the resulting 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 y = k + 18 to f, which gives f = k + 31.\n2. Substitute k = z + 9 to f, which gives f = z + 40.\n3. Substitute z = q + 16 to f, which gives f = q + 56.\n4. Substitute q = r + 12 to f, which gives f = r + 68.\n5. Substitute r = p + 19 to f, which gives f = p + 87.\n6. Substitute p = 7 to f, which gives f = 94.\n\nThus, the final answer is f = \\boxed{94}.",
"index": 17139,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = p + 19; y = k + 18; z = q + 16; k = z + 9; t = s + 3; l = a + 16; p = 7; f = y + 13; e = t + 3; u = p + 18; s = u + 16; a = e + 1; q = r + 12. If p = 7, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"s": "l + 16", "f": "s + 2", "u": "f + 19", "v": "u + 11", "o": "v + 6", "n": "o + 1", "k": "l + 9", "w": "k + 10", "m": "w + 19", "i": "m + 17", "y": "i + 4", "a": "y + 16", "l": 13}, "premises": {"l": 13}, "target": "n"}, "answer": {"steps": [["o", "v + 6", "v + 7"], ["v", "u + 11", "u + 18"], ["u", "f + 19", "f + 37"], ["f", "s + 2", "s + 39"], ["s", "l + 16", "l + 55"], ["l", 13, "68"]], "target_var_name": "n", "target_value": 68, "value_dict": {"l": 13}, "is_reverse": true}} | 17,140 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = k + 10; s = l + 16; a = y + 16; k = l + 9; i = m + 17; l = 13; o = v + 6; f = s + 2; u = f + 19; n = o + 1; y = i + 4; v = u + 11; m = w + 19. If l = 13, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = v + 6 to n, which gives n = v + 7.\n2. Substitute v = u + 11 to n, which gives n = u + 18.\n3. Substitute u = f + 19 to n, which gives n = f + 37.\n4. Substitute f = s + 2 to n, which gives n = s + 39.\n5. Substitute s = l + 16 to n, which gives n = l + 55.\n6. Substitute l = 13 to n, which gives n = 68.\n\nThus, the final answer is n = \\boxed{68}.",
"index": 17140,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = k + 10; s = l + 16; a = y + 16; k = l + 9; i = m + 17; l = 13; o = v + 6; f = s + 2; u = f + 19; n = o + 1; y = i + 4; v = u + 11; m = w + 19. If l = 13, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"i": "b + 4", "x": "i + 20", "f": "x + 20", "z": "f + 17", "g": "z + 19", "y": "g + 10", "j": "b + 18", "a": "j + 20", "k": "a + 15", "t": "k + 10", "n": "t + 16", "d": "n + 18", "b": 16}, "premises": {"b": 16}, "target": "y"}, "answer": {"steps": [["g", "z + 19", "z + 29"], ["z", "f + 17", "f + 46"], ["f", "x + 20", "x + 66"], ["x", "i + 20", "i + 86"], ["i", "b + 4", "b + 90"], ["b", 16, "106"]], "target_var_name": "y", "target_value": 106, "value_dict": {"b": 16}, "is_reverse": true}} | 17,141 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = 16; f = x + 20; k = a + 15; g = z + 19; a = j + 20; t = k + 10; n = t + 16; y = g + 10; z = f + 17; j = b + 18; d = n + 18; x = i + 20; i = b + 4. If b = 16, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 106,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = z + 19 to y, which gives y = z + 29.\n2. Substitute z = f + 17 to y, which gives y = f + 46.\n3. Substitute f = x + 20 to y, which gives y = x + 66.\n4. Substitute x = i + 20 to y, which gives y = i + 86.\n5. Substitute i = b + 4 to y, which gives y = b + 90.\n6. Substitute b = 16 to y, which gives y = 106.\n\nThus, the final answer is y = \\boxed{106}.",
"index": 17141,
"question": "Consider a system of variables where each variable is defined as follows: b = 16; f = x + 20; k = a + 15; g = z + 19; a = j + 20; t = k + 10; n = t + 16; y = g + 10; z = f + 17; j = b + 18; d = n + 18; x = i + 20; i = b + 4. If b = 16, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"r": "b + 16", "d": "r + 9", "a": "d + 10", "v": "a + 6", "m": "v + 9", "g": "m + 3", "k": "b + 15", "n": "k + 20", "e": "n + 19", "z": "e + 14", "h": "z + 20", "x": "h + 12", "b": 12}, "premises": {"b": 12}, "target": "g"}, "answer": {"steps": [["m", "v + 9", "v + 12"], ["v", "a + 6", "a + 18"], ["a", "d + 10", "d + 28"], ["d", "r + 9", "r + 37"], ["r", "b + 16", "b + 53"], ["b", 12, "65"]], "target_var_name": "g", "target_value": 65, "value_dict": {"b": 12}, "is_reverse": true}} | 17,142 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = 12; a = d + 10; m = v + 9; h = z + 20; e = n + 19; g = m + 3; d = r + 9; r = b + 16; x = h + 12; v = a + 6; z = e + 14; n = k + 20; k = b + 15. If b = 12, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = v + 9 to g, which gives g = v + 12.\n2. Substitute v = a + 6 to g, which gives g = a + 18.\n3. Substitute a = d + 10 to g, which gives g = d + 28.\n4. Substitute d = r + 9 to g, which gives g = r + 37.\n5. Substitute r = b + 16 to g, which gives g = b + 53.\n6. Substitute b = 12 to g, which gives g = 65.\n\nThus, the final answer is g = \\boxed{65}.",
"index": 17142,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = 12; a = d + 10; m = v + 9; h = z + 20; e = n + 19; g = m + 3; d = r + 9; r = b + 16; x = h + 12; v = a + 6; z = e + 14; n = k + 20; k = b + 15. If b = 12, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"c": "g + 2", "q": "c + 18", "k": "q + 3", "d": "k + 12", "p": "d + 10", "f": "p + 20", "z": "g + 15", "v": "z + 13", "r": "v + 7", "h": "r + 18", "i": "h + 9", "w": "i + 4", "g": 9}, "premises": {"g": 9}, "target": "f"}, "answer": {"steps": [["p", "d + 10", "d + 30"], ["d", "k + 12", "k + 42"], ["k", "q + 3", "q + 45"], ["q", "c + 18", "c + 63"], ["c", "g + 2", "g + 65"], ["g", 9, "74"]], "target_var_name": "f", "target_value": 74, "value_dict": {"g": 9}, "is_reverse": true}} | 17,143 | 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 + 2; i = h + 9; p = d + 10; z = g + 15; d = k + 12; v = z + 13; r = v + 7; g = 9; w = i + 4; k = q + 3; h = r + 18; q = c + 18; f = p + 20. If g = 9, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = d + 10 to f, which gives f = d + 30.\n2. Substitute d = k + 12 to f, which gives f = k + 42.\n3. Substitute k = q + 3 to f, which gives f = q + 45.\n4. Substitute q = c + 18 to f, which gives f = c + 63.\n5. Substitute c = g + 2 to f, which gives f = g + 65.\n6. Substitute g = 9 to f, which gives f = 74.\n\nThus, the final answer is f = \\boxed{74}.",
"index": 17143,
"question": "Consider a system of variables where each variable is defined as follows: c = g + 2; i = h + 9; p = d + 10; z = g + 15; d = k + 12; v = z + 13; r = v + 7; g = 9; w = i + 4; k = q + 3; h = r + 18; q = c + 18; f = p + 20. If g = 9, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"w": "j + 4", "h": "w + 10", "v": "h + 8", "c": "v + 17", "f": "c + 14", "s": "f + 20", "k": "j + 16", "b": "k + 5", "n": "b + 2", "t": "n + 2", "x": "t + 16", "o": "x + 9", "j": 7}, "premises": {"j": 7}, "target": "s"}, "answer": {"steps": [["f", "c + 14", "c + 34"], ["c", "v + 17", "v + 51"], ["v", "h + 8", "h + 59"], ["h", "w + 10", "w + 69"], ["w", "j + 4", "j + 73"], ["j", 7, "80"]], "target_var_name": "s", "target_value": 80, "value_dict": {"j": 7}, "is_reverse": true}} | 17,144 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = j + 4; k = j + 16; t = n + 2; x = t + 16; h = w + 10; b = k + 5; v = h + 8; n = b + 2; f = c + 14; s = f + 20; o = x + 9; j = 7; c = v + 17. Given that j = 7, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = c + 14 to s, which gives s = c + 34.\n2. Substitute c = v + 17 to s, which gives s = v + 51.\n3. Substitute v = h + 8 to s, which gives s = h + 59.\n4. Substitute h = w + 10 to s, which gives s = w + 69.\n5. Substitute w = j + 4 to s, which gives s = j + 73.\n6. Substitute j = 7 to s, which gives s = 80.\n\nThus, the final answer is s = \\boxed{80}.",
"index": 17144,
"question": "Suppose a collection of variables is related by the following definitions: w = j + 4; k = j + 16; t = n + 2; x = t + 16; h = w + 10; b = k + 5; v = h + 8; n = b + 2; f = c + 14; s = f + 20; o = x + 9; j = 7; c = v + 17. Given that j = 7, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"c": "d + 2", "i": "c + 19", "k": "i + 7", "v": "k + 5", "y": "v + 9", "a": "y + 10", "p": "d + 5", "l": "p + 15", "j": "l + 14", "e": "j + 16", "r": "e + 2", "t": "r + 17", "d": 20}, "premises": {"d": 20}, "target": "a"}, "answer": {"steps": [["y", "v + 9", "v + 19"], ["v", "k + 5", "k + 24"], ["k", "i + 7", "i + 31"], ["i", "c + 19", "c + 50"], ["c", "d + 2", "d + 52"], ["d", 20, "72"]], "target_var_name": "a", "target_value": 72, "value_dict": {"d": 20}, "is_reverse": true}} | 17,145 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = r + 17; k = i + 7; i = c + 19; d = 20; a = y + 10; j = l + 14; e = j + 16; v = k + 5; y = v + 9; l = p + 15; p = d + 5; c = d + 2; r = e + 2. If d = 20, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = v + 9 to a, which gives a = v + 19.\n2. Substitute v = k + 5 to a, which gives a = k + 24.\n3. Substitute k = i + 7 to a, which gives a = i + 31.\n4. Substitute i = c + 19 to a, which gives a = c + 50.\n5. Substitute c = d + 2 to a, which gives a = d + 52.\n6. Substitute d = 20 to a, which gives a = 72.\n\nThus, the final answer is a = \\boxed{72}.",
"index": 17145,
"question": "Consider a system of variables where each variable is defined as follows: t = r + 17; k = i + 7; i = c + 19; d = 20; a = y + 10; j = l + 14; e = j + 16; v = k + 5; y = v + 9; l = p + 15; p = d + 5; c = d + 2; r = e + 2. If d = 20, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"w": "x + 15", "b": "w + 4", "i": "b + 5", "s": "i + 10", "z": "s + 15", "y": "z + 5", "q": "x + 4", "d": "q + 2", "l": "d + 4", "c": "l + 1", "p": "c + 9", "o": "p + 9", "x": 16}, "premises": {"x": 16}, "target": "y"}, "answer": {"steps": [["z", "s + 15", "s + 20"], ["s", "i + 10", "i + 30"], ["i", "b + 5", "b + 35"], ["b", "w + 4", "w + 39"], ["w", "x + 15", "x + 54"], ["x", 16, "70"]], "target_var_name": "y", "target_value": 70, "value_dict": {"x": 16}, "is_reverse": true}} | 17,146 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = i + 10; x = 16; w = x + 15; c = l + 1; y = z + 5; q = x + 4; o = p + 9; i = b + 5; p = c + 9; z = s + 15; b = w + 4; d = q + 2; l = d + 4. Given that x = 16, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = s + 15 to y, which gives y = s + 20.\n2. Substitute s = i + 10 to y, which gives y = i + 30.\n3. Substitute i = b + 5 to y, which gives y = b + 35.\n4. Substitute b = w + 4 to y, which gives y = w + 39.\n5. Substitute w = x + 15 to y, which gives y = x + 54.\n6. Substitute x = 16 to y, which gives y = 70.\n\nThus, the final answer is y = \\boxed{70}.",
"index": 17146,
"question": "Suppose a collection of variables is related by the following definitions: s = i + 10; x = 16; w = x + 15; c = l + 1; y = z + 5; q = x + 4; o = p + 9; i = b + 5; p = c + 9; z = s + 15; b = w + 4; d = q + 2; l = d + 4. Given that x = 16, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"w": "l + 16", "e": "w + 1", "j": "e + 16", "m": "j + 5", "z": "m + 9", "k": "z + 17", "s": "l + 17", "v": "s + 2", "b": "v + 10", "u": "b + 19", "y": "u + 19", "g": "y + 15", "l": 5}, "premises": {"l": 5}, "target": "k"}, "answer": {"steps": [["z", "m + 9", "m + 26"], ["m", "j + 5", "j + 31"], ["j", "e + 16", "e + 47"], ["e", "w + 1", "w + 48"], ["w", "l + 16", "l + 64"], ["l", 5, "69"]], "target_var_name": "k", "target_value": 69, "value_dict": {"l": 5}, "is_reverse": true}} | 17,147 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = y + 15; v = s + 2; e = w + 1; m = j + 5; j = e + 16; l = 5; b = v + 10; s = l + 17; k = z + 17; u = b + 19; z = m + 9; w = l + 16; y = u + 19. If l = 5, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = m + 9 to k, which gives k = m + 26.\n2. Substitute m = j + 5 to k, which gives k = j + 31.\n3. Substitute j = e + 16 to k, which gives k = e + 47.\n4. Substitute e = w + 1 to k, which gives k = w + 48.\n5. Substitute w = l + 16 to k, which gives k = l + 64.\n6. Substitute l = 5 to k, which gives k = 69.\n\nThus, the final answer is k = \\boxed{69}.",
"index": 17147,
"question": "Consider a system of variables where each variable is defined as follows: g = y + 15; v = s + 2; e = w + 1; m = j + 5; j = e + 16; l = 5; b = v + 10; s = l + 17; k = z + 17; u = b + 19; z = m + 9; w = l + 16; y = u + 19. If l = 5, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"l": "x + 9", "g": "l + 1", "j": "g + 5", "y": "j + 5", "u": "y + 17", "v": "u + 6", "h": "x + 1", "c": "h + 8", "w": "c + 4", "a": "w + 1", "o": "a + 16", "s": "o + 3", "x": 14}, "premises": {"x": 14}, "target": "v"}, "answer": {"steps": [["u", "y + 17", "y + 23"], ["y", "j + 5", "j + 28"], ["j", "g + 5", "g + 33"], ["g", "l + 1", "l + 34"], ["l", "x + 9", "x + 43"], ["x", 14, "57"]], "target_var_name": "v", "target_value": 57, "value_dict": {"x": 14}, "is_reverse": true}} | 17,148 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = y + 17; v = u + 6; c = h + 8; g = l + 1; w = c + 4; x = 14; y = j + 5; a = w + 1; o = a + 16; l = x + 9; s = o + 3; j = g + 5; h = x + 1. If x = 14, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = y + 17 to v, which gives v = y + 23.\n2. Substitute y = j + 5 to v, which gives v = j + 28.\n3. Substitute j = g + 5 to v, which gives v = g + 33.\n4. Substitute g = l + 1 to v, which gives v = l + 34.\n5. Substitute l = x + 9 to v, which gives v = x + 43.\n6. Substitute x = 14 to v, which gives v = 57.\n\nThus, the final answer is v = \\boxed{57}.",
"index": 17148,
"question": "Consider a system of variables where each variable is defined as follows: u = y + 17; v = u + 6; c = h + 8; g = l + 1; w = c + 4; x = 14; y = j + 5; a = w + 1; o = a + 16; l = x + 9; s = o + 3; j = g + 5; h = x + 1. If x = 14, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"j": "t + 5", "a": "j + 17", "e": "a + 14", "w": "e + 5", "o": "w + 8", "h": "o + 8", "n": "t + 12", "b": "n + 8", "p": "b + 11", "l": "p + 20", "r": "l + 5", "x": "r + 10", "t": 4}, "premises": {"t": 4}, "target": "h"}, "answer": {"steps": [["o", "w + 8", "w + 16"], ["w", "e + 5", "e + 21"], ["e", "a + 14", "a + 35"], ["a", "j + 17", "j + 52"], ["j", "t + 5", "t + 57"], ["t", 4, "61"]], "target_var_name": "h", "target_value": 61, "value_dict": {"t": 4}, "is_reverse": true}} | 17,149 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = o + 8; w = e + 5; l = p + 20; b = n + 8; r = l + 5; o = w + 8; x = r + 10; a = j + 17; n = t + 12; p = b + 11; e = a + 14; t = 4; j = t + 5. If t = 4, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = w + 8 to h, which gives h = w + 16.\n2. Substitute w = e + 5 to h, which gives h = e + 21.\n3. Substitute e = a + 14 to h, which gives h = a + 35.\n4. Substitute a = j + 17 to h, which gives h = j + 52.\n5. Substitute j = t + 5 to h, which gives h = t + 57.\n6. Substitute t = 4 to h, which gives h = 61.\n\nThus, the final answer is h = \\boxed{61}.",
"index": 17149,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = o + 8; w = e + 5; l = p + 20; b = n + 8; r = l + 5; o = w + 8; x = r + 10; a = j + 17; n = t + 12; p = b + 11; e = a + 14; t = 4; j = t + 5. If t = 4, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"k": "m + 4", "t": "k + 4", "l": "t + 17", "s": "l + 3", "w": "s + 6", "a": "w + 7", "v": "m + 20", "j": "v + 7", "q": "j + 13", "g": "q + 15", "h": "g + 12", "x": "h + 5", "m": 7}, "premises": {"m": 7}, "target": "a"}, "answer": {"steps": [["w", "s + 6", "s + 13"], ["s", "l + 3", "l + 16"], ["l", "t + 17", "t + 33"], ["t", "k + 4", "k + 37"], ["k", "m + 4", "m + 41"], ["m", 7, "48"]], "target_var_name": "a", "target_value": 48, "value_dict": {"m": 7}, "is_reverse": true}} | 17,150 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = t + 17; h = g + 12; j = v + 7; t = k + 4; a = w + 7; v = m + 20; k = m + 4; m = 7; s = l + 3; g = q + 15; x = h + 5; q = j + 13; w = s + 6. If m = 7, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = s + 6 to a, which gives a = s + 13.\n2. Substitute s = l + 3 to a, which gives a = l + 16.\n3. Substitute l = t + 17 to a, which gives a = t + 33.\n4. Substitute t = k + 4 to a, which gives a = k + 37.\n5. Substitute k = m + 4 to a, which gives a = m + 41.\n6. Substitute m = 7 to a, which gives a = 48.\n\nThus, the final answer is a = \\boxed{48}.",
"index": 17150,
"question": "Consider a system of variables where each variable is defined as follows: l = t + 17; h = g + 12; j = v + 7; t = k + 4; a = w + 7; v = m + 20; k = m + 4; m = 7; s = l + 3; g = q + 15; x = h + 5; q = j + 13; w = s + 6. If m = 7, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"w": "k + 3", "p": "w + 8", "b": "p + 17", "m": "b + 2", "n": "m + 18", "u": "n + 2", "h": "k + 14", "v": "h + 15", "e": "v + 9", "g": "e + 9", "f": "g + 11", "i": "f + 19", "k": 2}, "premises": {"k": 2}, "target": "u"}, "answer": {"steps": [["n", "m + 18", "m + 20"], ["m", "b + 2", "b + 22"], ["b", "p + 17", "p + 39"], ["p", "w + 8", "w + 47"], ["w", "k + 3", "k + 50"], ["k", 2, "52"]], "target_var_name": "u", "target_value": 52, "value_dict": {"k": 2}, "is_reverse": true}} | 17,151 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = f + 19; m = b + 2; n = m + 18; b = p + 17; u = n + 2; w = k + 3; e = v + 9; v = h + 15; g = e + 9; f = g + 11; k = 2; p = w + 8; h = k + 14. Given that k = 2, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = m + 18 to u, which gives u = m + 20.\n2. Substitute m = b + 2 to u, which gives u = b + 22.\n3. Substitute b = p + 17 to u, which gives u = p + 39.\n4. Substitute p = w + 8 to u, which gives u = w + 47.\n5. Substitute w = k + 3 to u, which gives u = k + 50.\n6. Substitute k = 2 to u, which gives u = 52.\n\nThus, the final answer is u = \\boxed{52}.",
"index": 17151,
"question": "Suppose a collection of variables is related by the following definitions: i = f + 19; m = b + 2; n = m + 18; b = p + 17; u = n + 2; w = k + 3; e = v + 9; v = h + 15; g = e + 9; f = g + 11; k = 2; p = w + 8; h = k + 14. Given that k = 2, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"k": "o + 1", "x": "k + 10", "i": "x + 8", "v": "i + 11", "m": "v + 8", "j": "m + 9", "a": "o + 20", "l": "a + 10", "u": "l + 16", "b": "u + 14", "c": "b + 5", "h": "c + 8", "o": 20}, "premises": {"o": 20}, "target": "j"}, "answer": {"steps": [["m", "v + 8", "v + 17"], ["v", "i + 11", "i + 28"], ["i", "x + 8", "x + 36"], ["x", "k + 10", "k + 46"], ["k", "o + 1", "o + 47"], ["o", 20, "67"]], "target_var_name": "j", "target_value": 67, "value_dict": {"o": 20}, "is_reverse": true}} | 17,152 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = u + 14; x = k + 10; k = o + 1; v = i + 11; a = o + 20; u = l + 16; o = 20; m = v + 8; i = x + 8; j = m + 9; l = a + 10; h = c + 8; c = b + 5. If o = 20, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = v + 8 to j, which gives j = v + 17.\n2. Substitute v = i + 11 to j, which gives j = i + 28.\n3. Substitute i = x + 8 to j, which gives j = x + 36.\n4. Substitute x = k + 10 to j, which gives j = k + 46.\n5. Substitute k = o + 1 to j, which gives j = o + 47.\n6. Substitute o = 20 to j, which gives j = 67.\n\nThus, the final answer is j = \\boxed{67}.",
"index": 17152,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = u + 14; x = k + 10; k = o + 1; v = i + 11; a = o + 20; u = l + 16; o = 20; m = v + 8; i = x + 8; j = m + 9; l = a + 10; h = c + 8; c = b + 5. If o = 20, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"s": "f + 20", "b": "s + 5", "i": "b + 10", "r": "i + 14", "u": "r + 20", "x": "u + 4", "z": "f + 18", "k": "z + 19", "o": "k + 10", "p": "o + 3", "e": "p + 9", "c": "e + 8", "f": 17}, "premises": {"f": 17}, "target": "x"}, "answer": {"steps": [["u", "r + 20", "r + 24"], ["r", "i + 14", "i + 38"], ["i", "b + 10", "b + 48"], ["b", "s + 5", "s + 53"], ["s", "f + 20", "f + 73"], ["f", 17, "90"]], "target_var_name": "x", "target_value": 90, "value_dict": {"f": 17}, "is_reverse": true}} | 17,153 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = f + 18; r = i + 14; b = s + 5; u = r + 20; x = u + 4; e = p + 9; i = b + 10; f = 17; c = e + 8; p = o + 3; s = f + 20; o = k + 10; k = z + 19. If f = 17, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = r + 20 to x, which gives x = r + 24.\n2. Substitute r = i + 14 to x, which gives x = i + 38.\n3. Substitute i = b + 10 to x, which gives x = b + 48.\n4. Substitute b = s + 5 to x, which gives x = s + 53.\n5. Substitute s = f + 20 to x, which gives x = f + 73.\n6. Substitute f = 17 to x, which gives x = 90.\n\nThus, the final answer is x = \\boxed{90}.",
"index": 17153,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = f + 18; r = i + 14; b = s + 5; u = r + 20; x = u + 4; e = p + 9; i = b + 10; f = 17; c = e + 8; p = o + 3; s = f + 20; o = k + 10; k = z + 19. If f = 17, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"w": "u + 13", "m": "w + 15", "h": "m + 15", "l": "h + 13", "q": "l + 3", "t": "q + 6", "e": "u + 19", "d": "e + 20", "f": "d + 16", "v": "f + 15", "s": "v + 5", "o": "s + 18", "u": 7}, "premises": {"u": 7}, "target": "t"}, "answer": {"steps": [["q", "l + 3", "l + 9"], ["l", "h + 13", "h + 22"], ["h", "m + 15", "m + 37"], ["m", "w + 15", "w + 52"], ["w", "u + 13", "u + 65"], ["u", 7, "72"]], "target_var_name": "t", "target_value": 72, "value_dict": {"u": 7}, "is_reverse": true}} | 17,154 | 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 = e + 20; v = f + 15; s = v + 5; l = h + 13; h = m + 15; f = d + 16; q = l + 3; u = 7; o = s + 18; m = w + 15; t = q + 6; w = u + 13; e = u + 19. If u = 7, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = l + 3 to t, which gives t = l + 9.\n2. Substitute l = h + 13 to t, which gives t = h + 22.\n3. Substitute h = m + 15 to t, which gives t = m + 37.\n4. Substitute m = w + 15 to t, which gives t = w + 52.\n5. Substitute w = u + 13 to t, which gives t = u + 65.\n6. Substitute u = 7 to t, which gives t = 72.\n\nThus, the final answer is t = \\boxed{72}.",
"index": 17154,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = e + 20; v = f + 15; s = v + 5; l = h + 13; h = m + 15; f = d + 16; q = l + 3; u = 7; o = s + 18; m = w + 15; t = q + 6; w = u + 13; e = u + 19. If u = 7, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"h": "s + 5", "a": "h + 12", "b": "a + 8", "w": "b + 5", "u": "w + 10", "g": "u + 19", "v": "s + 11", "j": "v + 6", "p": "j + 11", "m": "p + 16", "f": "m + 12", "n": "f + 12", "s": 9}, "premises": {"s": 9}, "target": "g"}, "answer": {"steps": [["u", "w + 10", "w + 29"], ["w", "b + 5", "b + 34"], ["b", "a + 8", "a + 42"], ["a", "h + 12", "h + 54"], ["h", "s + 5", "s + 59"], ["s", 9, "68"]], "target_var_name": "g", "target_value": 68, "value_dict": {"s": 9}, "is_reverse": true}} | 17,155 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = b + 5; a = h + 12; b = a + 8; n = f + 12; s = 9; v = s + 11; p = j + 11; j = v + 6; f = m + 12; h = s + 5; u = w + 10; m = p + 16; g = u + 19. If s = 9, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = w + 10 to g, which gives g = w + 29.\n2. Substitute w = b + 5 to g, which gives g = b + 34.\n3. Substitute b = a + 8 to g, which gives g = a + 42.\n4. Substitute a = h + 12 to g, which gives g = h + 54.\n5. Substitute h = s + 5 to g, which gives g = s + 59.\n6. Substitute s = 9 to g, which gives g = 68.\n\nThus, the final answer is g = \\boxed{68}.",
"index": 17155,
"question": "Consider a system of variables where each variable is defined as follows: w = b + 5; a = h + 12; b = a + 8; n = f + 12; s = 9; v = s + 11; p = j + 11; j = v + 6; f = m + 12; h = s + 5; u = w + 10; m = p + 16; g = u + 19. If s = 9, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"y": "c + 19", "s": "y + 1", "o": "s + 2", "r": "o + 2", "i": "r + 9", "z": "i + 8", "v": "c + 19", "q": "v + 11", "x": "q + 3", "k": "x + 12", "p": "k + 8", "n": "p + 15", "c": 10}, "premises": {"c": 10}, "target": "z"}, "answer": {"steps": [["i", "r + 9", "r + 17"], ["r", "o + 2", "o + 19"], ["o", "s + 2", "s + 21"], ["s", "y + 1", "y + 22"], ["y", "c + 19", "c + 41"], ["c", 10, "51"]], "target_var_name": "z", "target_value": 51, "value_dict": {"c": 10}, "is_reverse": true}} | 17,156 | 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 = o + 2; k = x + 12; p = k + 8; y = c + 19; o = s + 2; n = p + 15; z = i + 8; c = 10; x = q + 3; s = y + 1; v = c + 19; q = v + 11; i = r + 9. If c = 10, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = r + 9 to z, which gives z = r + 17.\n2. Substitute r = o + 2 to z, which gives z = o + 19.\n3. Substitute o = s + 2 to z, which gives z = s + 21.\n4. Substitute s = y + 1 to z, which gives z = y + 22.\n5. Substitute y = c + 19 to z, which gives z = c + 41.\n6. Substitute c = 10 to z, which gives z = 51.\n\nThus, the final answer is z = \\boxed{51}.",
"index": 17156,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = o + 2; k = x + 12; p = k + 8; y = c + 19; o = s + 2; n = p + 15; z = i + 8; c = 10; x = q + 3; s = y + 1; v = c + 19; q = v + 11; i = r + 9. If c = 10, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"y": "m + 14", "c": "y + 14", "t": "c + 12", "v": "t + 3", "n": "v + 14", "i": "n + 5", "z": "m + 17", "b": "z + 2", "l": "b + 19", "d": "l + 10", "q": "d + 20", "a": "q + 8", "m": 3}, "premises": {"m": 3}, "target": "i"}, "answer": {"steps": [["n", "v + 14", "v + 19"], ["v", "t + 3", "t + 22"], ["t", "c + 12", "c + 34"], ["c", "y + 14", "y + 48"], ["y", "m + 14", "m + 62"], ["m", 3, "65"]], "target_var_name": "i", "target_value": 65, "value_dict": {"m": 3}, "is_reverse": true}} | 17,157 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = q + 8; d = l + 10; c = y + 14; q = d + 20; z = m + 17; t = c + 12; i = n + 5; n = v + 14; b = z + 2; m = 3; y = m + 14; l = b + 19; v = t + 3. Given that m = 3, find 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 n = v + 14 to i, which gives i = v + 19.\n2. Substitute v = t + 3 to i, which gives i = t + 22.\n3. Substitute t = c + 12 to i, which gives i = c + 34.\n4. Substitute c = y + 14 to i, which gives i = y + 48.\n5. Substitute y = m + 14 to i, which gives i = m + 62.\n6. Substitute m = 3 to i, which gives i = 65.\n\nThus, the final answer is i = \\boxed{65}.",
"index": 17157,
"question": "Suppose a collection of variables is related by the following definitions: a = q + 8; d = l + 10; c = y + 14; q = d + 20; z = m + 17; t = c + 12; i = n + 5; n = v + 14; b = z + 2; m = 3; y = m + 14; l = b + 19; v = t + 3. Given that m = 3, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"k": "v + 19", "u": "k + 8", "e": "u + 2", "a": "e + 4", "x": "a + 14", "j": "x + 6", "h": "v + 17", "p": "h + 13", "q": "p + 11", "r": "q + 4", "f": "r + 20", "l": "f + 2", "v": 6}, "premises": {"v": 6}, "target": "j"}, "answer": {"steps": [["x", "a + 14", "a + 20"], ["a", "e + 4", "e + 24"], ["e", "u + 2", "u + 26"], ["u", "k + 8", "k + 34"], ["k", "v + 19", "v + 53"], ["v", 6, "59"]], "target_var_name": "j", "target_value": 59, "value_dict": {"v": 6}, "is_reverse": true}} | 17,158 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = v + 19; r = q + 4; p = h + 13; x = a + 14; a = e + 4; h = v + 17; q = p + 11; v = 6; j = x + 6; u = k + 8; e = u + 2; l = f + 2; f = r + 20. If v = 6, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = a + 14 to j, which gives j = a + 20.\n2. Substitute a = e + 4 to j, which gives j = e + 24.\n3. Substitute e = u + 2 to j, which gives j = u + 26.\n4. Substitute u = k + 8 to j, which gives j = k + 34.\n5. Substitute k = v + 19 to j, which gives j = v + 53.\n6. Substitute v = 6 to j, which gives j = 59.\n\nThus, the final answer is j = \\boxed{59}.",
"index": 17158,
"question": "Consider a system of variables where each variable is defined as follows: k = v + 19; r = q + 4; p = h + 13; x = a + 14; a = e + 4; h = v + 17; q = p + 11; v = 6; j = x + 6; u = k + 8; e = u + 2; l = f + 2; f = r + 20. If v = 6, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"y": "a + 16", "n": "y + 8", "w": "n + 11", "r": "w + 17", "d": "r + 20", "h": "d + 4", "b": "a + 18", "i": "b + 17", "g": "i + 7", "e": "g + 9", "z": "e + 7", "t": "z + 18", "a": 5}, "premises": {"a": 5}, "target": "h"}, "answer": {"steps": [["d", "r + 20", "r + 24"], ["r", "w + 17", "w + 41"], ["w", "n + 11", "n + 52"], ["n", "y + 8", "y + 60"], ["y", "a + 16", "a + 76"], ["a", 5, "81"]], "target_var_name": "h", "target_value": 81, "value_dict": {"a": 5}, "is_reverse": true}} | 17,159 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = w + 17; w = n + 11; d = r + 20; n = y + 8; e = g + 9; t = z + 18; a = 5; z = e + 7; i = b + 17; y = a + 16; b = a + 18; h = d + 4; g = i + 7. If a = 5, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = r + 20 to h, which gives h = r + 24.\n2. Substitute r = w + 17 to h, which gives h = w + 41.\n3. Substitute w = n + 11 to h, which gives h = n + 52.\n4. Substitute n = y + 8 to h, which gives h = y + 60.\n5. Substitute y = a + 16 to h, which gives h = a + 76.\n6. Substitute a = 5 to h, which gives h = 81.\n\nThus, the final answer is h = \\boxed{81}.",
"index": 17159,
"question": "Consider a system of variables where each variable is defined as follows: r = w + 17; w = n + 11; d = r + 20; n = y + 8; e = g + 9; t = z + 18; a = 5; z = e + 7; i = b + 17; y = a + 16; b = a + 18; h = d + 4; g = i + 7. If a = 5, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"u": "k + 8", "i": "u + 2", "b": "i + 7", "v": "b + 8", "j": "v + 12", "q": "j + 10", "t": "k + 16", "o": "t + 2", "c": "o + 17", "g": "c + 4", "w": "g + 19", "a": "w + 15", "k": 2}, "premises": {"k": 2}, "target": "q"}, "answer": {"steps": [["j", "v + 12", "v + 22"], ["v", "b + 8", "b + 30"], ["b", "i + 7", "i + 37"], ["i", "u + 2", "u + 39"], ["u", "k + 8", "k + 47"], ["k", 2, "49"]], "target_var_name": "q", "target_value": 49, "value_dict": {"k": 2}, "is_reverse": true}} | 17,160 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = t + 2; j = v + 12; u = k + 8; i = u + 2; b = i + 7; g = c + 4; k = 2; q = j + 10; c = o + 17; a = w + 15; v = b + 8; w = g + 19; t = k + 16. If k = 2, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = v + 12 to q, which gives q = v + 22.\n2. Substitute v = b + 8 to q, which gives q = b + 30.\n3. Substitute b = i + 7 to q, which gives q = i + 37.\n4. Substitute i = u + 2 to q, which gives q = u + 39.\n5. Substitute u = k + 8 to q, which gives q = k + 47.\n6. Substitute k = 2 to q, which gives q = 49.\n\nThus, the final answer is q = \\boxed{49}.",
"index": 17160,
"question": "Consider a system of variables where each variable is defined as follows: o = t + 2; j = v + 12; u = k + 8; i = u + 2; b = i + 7; g = c + 4; k = 2; q = j + 10; c = o + 17; a = w + 15; v = b + 8; w = g + 19; t = k + 16. If k = 2, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"t": "z + 12", "g": "t + 9", "i": "g + 17", "q": "i + 1", "a": "q + 10", "s": "a + 5", "k": "z + 14", "h": "k + 5", "j": "h + 16", "o": "j + 5", "p": "o + 9", "x": "p + 14", "z": 12}, "premises": {"z": 12}, "target": "s"}, "answer": {"steps": [["a", "q + 10", "q + 15"], ["q", "i + 1", "i + 16"], ["i", "g + 17", "g + 33"], ["g", "t + 9", "t + 42"], ["t", "z + 12", "z + 54"], ["z", 12, "66"]], "target_var_name": "s", "target_value": 66, "value_dict": {"z": 12}, "is_reverse": true}} | 17,161 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = k + 5; p = o + 9; q = i + 1; a = q + 10; k = z + 14; s = a + 5; o = j + 5; g = t + 9; z = 12; j = h + 16; i = g + 17; t = z + 12; x = p + 14. If z = 12, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = q + 10 to s, which gives s = q + 15.\n2. Substitute q = i + 1 to s, which gives s = i + 16.\n3. Substitute i = g + 17 to s, which gives s = g + 33.\n4. Substitute g = t + 9 to s, which gives s = t + 42.\n5. Substitute t = z + 12 to s, which gives s = z + 54.\n6. Substitute z = 12 to s, which gives s = 66.\n\nThus, the final answer is s = \\boxed{66}.",
"index": 17161,
"question": "Consider a system of variables where each variable is defined as follows: h = k + 5; p = o + 9; q = i + 1; a = q + 10; k = z + 14; s = a + 5; o = j + 5; g = t + 9; z = 12; j = h + 16; i = g + 17; t = z + 12; x = p + 14. If z = 12, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"b": "s + 20", "o": "b + 10", "y": "o + 17", "f": "y + 7", "a": "f + 15", "i": "a + 5", "z": "s + 7", "e": "z + 4", "m": "e + 14", "k": "m + 3", "c": "k + 6", "g": "c + 13", "s": 6}, "premises": {"s": 6}, "target": "i"}, "answer": {"steps": [["a", "f + 15", "f + 20"], ["f", "y + 7", "y + 27"], ["y", "o + 17", "o + 44"], ["o", "b + 10", "b + 54"], ["b", "s + 20", "s + 74"], ["s", 6, "80"]], "target_var_name": "i", "target_value": 80, "value_dict": {"s": 6}, "is_reverse": true}} | 17,162 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = z + 4; f = y + 7; k = m + 3; m = e + 14; y = o + 17; g = c + 13; s = 6; o = b + 10; a = f + 15; i = a + 5; b = s + 20; z = s + 7; c = k + 6. If s = 6, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = f + 15 to i, which gives i = f + 20.\n2. Substitute f = y + 7 to i, which gives i = y + 27.\n3. Substitute y = o + 17 to i, which gives i = o + 44.\n4. Substitute o = b + 10 to i, which gives i = b + 54.\n5. Substitute b = s + 20 to i, which gives i = s + 74.\n6. Substitute s = 6 to i, which gives i = 80.\n\nThus, the final answer is i = \\boxed{80}.",
"index": 17162,
"question": "Consider a system of variables where each variable is defined as follows: e = z + 4; f = y + 7; k = m + 3; m = e + 14; y = o + 17; g = c + 13; s = 6; o = b + 10; a = f + 15; i = a + 5; b = s + 20; z = s + 7; c = k + 6. If s = 6, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"b": "o + 7", "s": "b + 16", "j": "s + 10", "e": "j + 3", "c": "e + 4", "z": "c + 19", "u": "o + 13", "a": "u + 12", "d": "a + 12", "m": "d + 19", "p": "m + 2", "t": "p + 10", "o": 8}, "premises": {"o": 8}, "target": "z"}, "answer": {"steps": [["c", "e + 4", "e + 23"], ["e", "j + 3", "j + 26"], ["j", "s + 10", "s + 36"], ["s", "b + 16", "b + 52"], ["b", "o + 7", "o + 59"], ["o", 8, "67"]], "target_var_name": "z", "target_value": 67, "value_dict": {"o": 8}, "is_reverse": true}} | 17,163 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = o + 7; p = m + 2; z = c + 19; d = a + 12; t = p + 10; c = e + 4; s = b + 16; e = j + 3; o = 8; a = u + 12; j = s + 10; u = o + 13; m = d + 19. If o = 8, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = e + 4 to z, which gives z = e + 23.\n2. Substitute e = j + 3 to z, which gives z = j + 26.\n3. Substitute j = s + 10 to z, which gives z = s + 36.\n4. Substitute s = b + 16 to z, which gives z = b + 52.\n5. Substitute b = o + 7 to z, which gives z = o + 59.\n6. Substitute o = 8 to z, which gives z = 67.\n\nThus, the final answer is z = \\boxed{67}.",
"index": 17163,
"question": "Consider a system of variables where each variable is defined as follows: b = o + 7; p = m + 2; z = c + 19; d = a + 12; t = p + 10; c = e + 4; s = b + 16; e = j + 3; o = 8; a = u + 12; j = s + 10; u = o + 13; m = d + 19. If o = 8, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"d": "o + 11", "g": "d + 3", "v": "g + 7", "s": "v + 16", "x": "s + 16", "w": "x + 9", "c": "o + 13", "i": "c + 17", "z": "i + 2", "l": "z + 6", "k": "l + 4", "b": "k + 4", "o": 13}, "premises": {"o": 13}, "target": "w"}, "answer": {"steps": [["x", "s + 16", "s + 25"], ["s", "v + 16", "v + 41"], ["v", "g + 7", "g + 48"], ["g", "d + 3", "d + 51"], ["d", "o + 11", "o + 62"], ["o", 13, "75"]], "target_var_name": "w", "target_value": 75, "value_dict": {"o": 13}, "is_reverse": true}} | 17,164 | 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 = x + 9; d = o + 11; x = s + 16; v = g + 7; s = v + 16; i = c + 17; g = d + 3; l = z + 6; k = l + 4; z = i + 2; o = 13; c = o + 13; b = k + 4. If o = 13, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = s + 16 to w, which gives w = s + 25.\n2. Substitute s = v + 16 to w, which gives w = v + 41.\n3. Substitute v = g + 7 to w, which gives w = g + 48.\n4. Substitute g = d + 3 to w, which gives w = d + 51.\n5. Substitute d = o + 11 to w, which gives w = o + 62.\n6. Substitute o = 13 to w, which gives w = 75.\n\nThus, the final answer is w = \\boxed{75}.",
"index": 17164,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = x + 9; d = o + 11; x = s + 16; v = g + 7; s = v + 16; i = c + 17; g = d + 3; l = z + 6; k = l + 4; z = i + 2; o = 13; c = o + 13; b = k + 4. If o = 13, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"w": "m + 7", "n": "w + 8", "e": "n + 1", "y": "e + 18", "c": "y + 16", "g": "c + 7", "h": "m + 13", "t": "h + 8", "r": "t + 1", "p": "r + 2", "l": "p + 11", "z": "l + 9", "m": 7}, "premises": {"m": 7}, "target": "g"}, "answer": {"steps": [["c", "y + 16", "y + 23"], ["y", "e + 18", "e + 41"], ["e", "n + 1", "n + 42"], ["n", "w + 8", "w + 50"], ["w", "m + 7", "m + 57"], ["m", 7, "64"]], "target_var_name": "g", "target_value": 64, "value_dict": {"m": 7}, "is_reverse": true}} | 17,165 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = m + 13; p = r + 2; t = h + 8; w = m + 7; l = p + 11; z = l + 9; m = 7; c = y + 16; g = c + 7; r = t + 1; e = n + 1; n = w + 8; y = e + 18. Given that m = 7, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = y + 16 to g, which gives g = y + 23.\n2. Substitute y = e + 18 to g, which gives g = e + 41.\n3. Substitute e = n + 1 to g, which gives g = n + 42.\n4. Substitute n = w + 8 to g, which gives g = w + 50.\n5. Substitute w = m + 7 to g, which gives g = m + 57.\n6. Substitute m = 7 to g, which gives g = 64.\n\nThus, the final answer is g = \\boxed{64}.",
"index": 17165,
"question": "Suppose a collection of variables is related by the following definitions: h = m + 13; p = r + 2; t = h + 8; w = m + 7; l = p + 11; z = l + 9; m = 7; c = y + 16; g = c + 7; r = t + 1; e = n + 1; n = w + 8; y = e + 18. Given that m = 7, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"g": "t + 20", "i": "g + 15", "w": "i + 13", "r": "w + 19", "k": "r + 5", "e": "k + 15", "n": "t + 9", "u": "n + 18", "b": "u + 17", "f": "b + 2", "m": "f + 2", "q": "m + 2", "t": 18}, "premises": {"t": 18}, "target": "e"}, "answer": {"steps": [["k", "r + 5", "r + 20"], ["r", "w + 19", "w + 39"], ["w", "i + 13", "i + 52"], ["i", "g + 15", "g + 67"], ["g", "t + 20", "t + 87"], ["t", 18, "105"]], "target_var_name": "e", "target_value": 105, "value_dict": {"t": 18}, "is_reverse": true}} | 17,166 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = k + 15; u = n + 18; m = f + 2; r = w + 19; f = b + 2; w = i + 13; g = t + 20; b = u + 17; t = 18; i = g + 15; n = t + 9; q = m + 2; k = r + 5. If t = 18, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 105,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = r + 5 to e, which gives e = r + 20.\n2. Substitute r = w + 19 to e, which gives e = w + 39.\n3. Substitute w = i + 13 to e, which gives e = i + 52.\n4. Substitute i = g + 15 to e, which gives e = g + 67.\n5. Substitute g = t + 20 to e, which gives e = t + 87.\n6. Substitute t = 18 to e, which gives e = 105.\n\nThus, the final answer is e = \\boxed{105}.",
"index": 17166,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = k + 15; u = n + 18; m = f + 2; r = w + 19; f = b + 2; w = i + 13; g = t + 20; b = u + 17; t = 18; i = g + 15; n = t + 9; q = m + 2; k = r + 5. If t = 18, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"y": "m + 13", "l": "y + 19", "a": "l + 14", "r": "a + 10", "c": "r + 3", "h": "c + 10", "k": "m + 11", "j": "k + 15", "g": "j + 9", "x": "g + 19", "o": "x + 14", "q": "o + 1", "m": 17}, "premises": {"m": 17}, "target": "h"}, "answer": {"steps": [["c", "r + 3", "r + 13"], ["r", "a + 10", "a + 23"], ["a", "l + 14", "l + 37"], ["l", "y + 19", "y + 56"], ["y", "m + 13", "m + 69"], ["m", 17, "86"]], "target_var_name": "h", "target_value": 86, "value_dict": {"m": 17}, "is_reverse": true}} | 17,167 | 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 = j + 9; q = o + 1; h = c + 10; r = a + 10; k = m + 11; x = g + 19; c = r + 3; j = k + 15; l = y + 19; y = m + 13; o = x + 14; a = l + 14; m = 17. If m = 17, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = r + 3 to h, which gives h = r + 13.\n2. Substitute r = a + 10 to h, which gives h = a + 23.\n3. Substitute a = l + 14 to h, which gives h = l + 37.\n4. Substitute l = y + 19 to h, which gives h = y + 56.\n5. Substitute y = m + 13 to h, which gives h = m + 69.\n6. Substitute m = 17 to h, which gives h = 86.\n\nThus, the final answer is h = \\boxed{86}.",
"index": 17167,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = j + 9; q = o + 1; h = c + 10; r = a + 10; k = m + 11; x = g + 19; c = r + 3; j = k + 15; l = y + 19; y = m + 13; o = x + 14; a = l + 14; m = 17. If m = 17, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"v": "u + 3", "x": "v + 1", "k": "x + 7", "z": "k + 20", "g": "z + 2", "w": "g + 20", "p": "u + 15", "y": "p + 15", "j": "y + 4", "r": "j + 13", "e": "r + 17", "t": "e + 5", "u": 5}, "premises": {"u": 5}, "target": "w"}, "answer": {"steps": [["g", "z + 2", "z + 22"], ["z", "k + 20", "k + 42"], ["k", "x + 7", "x + 49"], ["x", "v + 1", "v + 50"], ["v", "u + 3", "u + 53"], ["u", 5, "58"]], "target_var_name": "w", "target_value": 58, "value_dict": {"u": 5}, "is_reverse": true}} | 17,168 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = z + 2; t = e + 5; e = r + 17; z = k + 20; x = v + 1; r = j + 13; p = u + 15; k = x + 7; y = p + 15; u = 5; v = u + 3; j = y + 4; w = g + 20. If u = 5, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = z + 2 to w, which gives w = z + 22.\n2. Substitute z = k + 20 to w, which gives w = k + 42.\n3. Substitute k = x + 7 to w, which gives w = x + 49.\n4. Substitute x = v + 1 to w, which gives w = v + 50.\n5. Substitute v = u + 3 to w, which gives w = u + 53.\n6. Substitute u = 5 to w, which gives w = 58.\n\nThus, the final answer is w = \\boxed{58}.",
"index": 17168,
"question": "Consider a system of variables where each variable is defined as follows: g = z + 2; t = e + 5; e = r + 17; z = k + 20; x = v + 1; r = j + 13; p = u + 15; k = x + 7; y = p + 15; u = 5; v = u + 3; j = y + 4; w = g + 20. If u = 5, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"j": "b + 4", "y": "j + 13", "n": "y + 3", "e": "n + 20", "u": "e + 6", "k": "u + 2", "m": "b + 12", "p": "m + 4", "o": "p + 6", "c": "o + 15", "w": "c + 17", "a": "w + 10", "b": 10}, "premises": {"b": 10}, "target": "k"}, "answer": {"steps": [["u", "e + 6", "e + 8"], ["e", "n + 20", "n + 28"], ["n", "y + 3", "y + 31"], ["y", "j + 13", "j + 44"], ["j", "b + 4", "b + 48"], ["b", 10, "58"]], "target_var_name": "k", "target_value": 58, "value_dict": {"b": 10}, "is_reverse": true}} | 17,169 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = j + 13; b = 10; k = u + 2; p = m + 4; j = b + 4; w = c + 17; u = e + 6; e = n + 20; o = p + 6; n = y + 3; c = o + 15; m = b + 12; a = w + 10. Given that b = 10, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = e + 6 to k, which gives k = e + 8.\n2. Substitute e = n + 20 to k, which gives k = n + 28.\n3. Substitute n = y + 3 to k, which gives k = y + 31.\n4. Substitute y = j + 13 to k, which gives k = j + 44.\n5. Substitute j = b + 4 to k, which gives k = b + 48.\n6. Substitute b = 10 to k, which gives k = 58.\n\nThus, the final answer is k = \\boxed{58}.",
"index": 17169,
"question": "Suppose a collection of variables is related by the following definitions: y = j + 13; b = 10; k = u + 2; p = m + 4; j = b + 4; w = c + 17; u = e + 6; e = n + 20; o = p + 6; n = y + 3; c = o + 15; m = b + 12; a = w + 10. Given that b = 10, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"r": "m + 4", "v": "r + 16", "w": "v + 16", "s": "w + 13", "f": "s + 15", "a": "f + 16", "z": "m + 15", "o": "z + 7", "q": "o + 11", "p": "q + 19", "e": "p + 16", "d": "e + 19", "m": 18}, "premises": {"m": 18}, "target": "a"}, "answer": {"steps": [["f", "s + 15", "s + 31"], ["s", "w + 13", "w + 44"], ["w", "v + 16", "v + 60"], ["v", "r + 16", "r + 76"], ["r", "m + 4", "m + 80"], ["m", 18, "98"]], "target_var_name": "a", "target_value": 98, "value_dict": {"m": 18}, "is_reverse": true}} | 17,170 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = m + 4; p = q + 19; o = z + 7; d = e + 19; m = 18; a = f + 16; f = s + 15; e = p + 16; q = o + 11; z = m + 15; v = r + 16; w = v + 16; s = w + 13. Given that m = 18, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = s + 15 to a, which gives a = s + 31.\n2. Substitute s = w + 13 to a, which gives a = w + 44.\n3. Substitute w = v + 16 to a, which gives a = v + 60.\n4. Substitute v = r + 16 to a, which gives a = r + 76.\n5. Substitute r = m + 4 to a, which gives a = m + 80.\n6. Substitute m = 18 to a, which gives a = 98.\n\nThus, the final answer is a = \\boxed{98}.",
"index": 17170,
"question": "Suppose a collection of variables is related by the following definitions: r = m + 4; p = q + 19; o = z + 7; d = e + 19; m = 18; a = f + 16; f = s + 15; e = p + 16; q = o + 11; z = m + 15; v = r + 16; w = v + 16; s = w + 13. Given that m = 18, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"y": "e + 17", "u": "y + 4", "p": "u + 1", "z": "p + 3", "d": "z + 16", "q": "d + 19", "n": "e + 13", "m": "n + 6", "o": "m + 5", "g": "o + 5", "l": "g + 17", "c": "l + 7", "e": 8}, "premises": {"e": 8}, "target": "q"}, "answer": {"steps": [["d", "z + 16", "z + 35"], ["z", "p + 3", "p + 38"], ["p", "u + 1", "u + 39"], ["u", "y + 4", "y + 43"], ["y", "e + 17", "e + 60"], ["e", 8, "68"]], "target_var_name": "q", "target_value": 68, "value_dict": {"e": 8}, "is_reverse": true}} | 17,171 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = n + 6; q = d + 19; p = u + 1; l = g + 17; u = y + 4; c = l + 7; d = z + 16; y = e + 17; o = m + 5; g = o + 5; e = 8; z = p + 3; n = e + 13. Given that e = 8, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = z + 16 to q, which gives q = z + 35.\n2. Substitute z = p + 3 to q, which gives q = p + 38.\n3. Substitute p = u + 1 to q, which gives q = u + 39.\n4. Substitute u = y + 4 to q, which gives q = y + 43.\n5. Substitute y = e + 17 to q, which gives q = e + 60.\n6. Substitute e = 8 to q, which gives q = 68.\n\nThus, the final answer is q = \\boxed{68}.",
"index": 17171,
"question": "Suppose a collection of variables is related by the following definitions: m = n + 6; q = d + 19; p = u + 1; l = g + 17; u = y + 4; c = l + 7; d = z + 16; y = e + 17; o = m + 5; g = o + 5; e = 8; z = p + 3; n = e + 13. Given that e = 8, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"v": "l + 7", "j": "v + 14", "t": "j + 13", "r": "t + 18", "k": "r + 16", "p": "k + 20", "h": "l + 8", "g": "h + 2", "i": "g + 4", "a": "i + 6", "s": "a + 19", "q": "s + 12", "l": 12}, "premises": {"l": 12}, "target": "p"}, "answer": {"steps": [["k", "r + 16", "r + 36"], ["r", "t + 18", "t + 54"], ["t", "j + 13", "j + 67"], ["j", "v + 14", "v + 81"], ["v", "l + 7", "l + 88"], ["l", 12, "100"]], "target_var_name": "p", "target_value": 100, "value_dict": {"l": 12}, "is_reverse": true}} | 17,172 | 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 = v + 14; t = j + 13; v = l + 7; s = a + 19; a = i + 6; k = r + 16; h = l + 8; i = g + 4; l = 12; r = t + 18; g = h + 2; p = k + 20; q = s + 12. If l = 12, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = r + 16 to p, which gives p = r + 36.\n2. Substitute r = t + 18 to p, which gives p = t + 54.\n3. Substitute t = j + 13 to p, which gives p = j + 67.\n4. Substitute j = v + 14 to p, which gives p = v + 81.\n5. Substitute v = l + 7 to p, which gives p = l + 88.\n6. Substitute l = 12 to p, which gives p = 100.\n\nThus, the final answer is p = \\boxed{100}.",
"index": 17172,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = v + 14; t = j + 13; v = l + 7; s = a + 19; a = i + 6; k = r + 16; h = l + 8; i = g + 4; l = 12; r = t + 18; g = h + 2; p = k + 20; q = s + 12. If l = 12, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"f": "c + 5", "d": "f + 10", "z": "d + 1", "n": "z + 8", "t": "n + 18", "y": "t + 13", "e": "c + 2", "g": "e + 8", "s": "g + 1", "r": "s + 16", "j": "r + 18", "k": "j + 18", "c": 14}, "premises": {"c": 14}, "target": "y"}, "answer": {"steps": [["t", "n + 18", "n + 31"], ["n", "z + 8", "z + 39"], ["z", "d + 1", "d + 40"], ["d", "f + 10", "f + 50"], ["f", "c + 5", "c + 55"], ["c", 14, "69"]], "target_var_name": "y", "target_value": 69, "value_dict": {"c": 14}, "is_reverse": true}} | 17,173 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = s + 16; c = 14; t = n + 18; n = z + 8; f = c + 5; z = d + 1; y = t + 13; s = g + 1; g = e + 8; j = r + 18; d = f + 10; k = j + 18; e = c + 2. Given that c = 14, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = n + 18 to y, which gives y = n + 31.\n2. Substitute n = z + 8 to y, which gives y = z + 39.\n3. Substitute z = d + 1 to y, which gives y = d + 40.\n4. Substitute d = f + 10 to y, which gives y = f + 50.\n5. Substitute f = c + 5 to y, which gives y = c + 55.\n6. Substitute c = 14 to y, which gives y = 69.\n\nThus, the final answer is y = \\boxed{69}.",
"index": 17173,
"question": "Suppose a collection of variables is related by the following definitions: r = s + 16; c = 14; t = n + 18; n = z + 8; f = c + 5; z = d + 1; y = t + 13; s = g + 1; g = e + 8; j = r + 18; d = f + 10; k = j + 18; e = c + 2. Given that c = 14, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"q": "d + 9", "m": "q + 15", "h": "m + 1", "u": "h + 18", "l": "u + 6", "r": "l + 1", "i": "d + 11", "b": "i + 19", "a": "b + 2", "n": "a + 3", "j": "n + 10", "x": "j + 20", "d": 15}, "premises": {"d": 15}, "target": "r"}, "answer": {"steps": [["l", "u + 6", "u + 7"], ["u", "h + 18", "h + 25"], ["h", "m + 1", "m + 26"], ["m", "q + 15", "q + 41"], ["q", "d + 9", "d + 50"], ["d", 15, "65"]], "target_var_name": "r", "target_value": 65, "value_dict": {"d": 15}, "is_reverse": true}} | 17,174 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = q + 15; r = l + 1; i = d + 11; d = 15; u = h + 18; a = b + 2; l = u + 6; j = n + 10; h = m + 1; b = i + 19; n = a + 3; q = d + 9; x = j + 20. If d = 15, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = u + 6 to r, which gives r = u + 7.\n2. Substitute u = h + 18 to r, which gives r = h + 25.\n3. Substitute h = m + 1 to r, which gives r = m + 26.\n4. Substitute m = q + 15 to r, which gives r = q + 41.\n5. Substitute q = d + 9 to r, which gives r = d + 50.\n6. Substitute d = 15 to r, which gives r = 65.\n\nThus, the final answer is r = \\boxed{65}.",
"index": 17174,
"question": "Consider a system of variables where each variable is defined as follows: m = q + 15; r = l + 1; i = d + 11; d = 15; u = h + 18; a = b + 2; l = u + 6; j = n + 10; h = m + 1; b = i + 19; n = a + 3; q = d + 9; x = j + 20. If d = 15, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"r": "y + 7", "d": "r + 17", "i": "d + 13", "f": "i + 5", "z": "f + 2", "g": "z + 16", "n": "y + 3", "e": "n + 20", "b": "e + 8", "x": "b + 9", "j": "x + 13", "t": "j + 7", "y": 10}, "premises": {"y": 10}, "target": "g"}, "answer": {"steps": [["z", "f + 2", "f + 18"], ["f", "i + 5", "i + 23"], ["i", "d + 13", "d + 36"], ["d", "r + 17", "r + 53"], ["r", "y + 7", "y + 60"], ["y", 10, "70"]], "target_var_name": "g", "target_value": 70, "value_dict": {"y": 10}, "is_reverse": true}} | 17,175 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = n + 20; i = d + 13; n = y + 3; t = j + 7; r = y + 7; g = z + 16; j = x + 13; z = f + 2; d = r + 17; x = b + 9; b = e + 8; f = i + 5; y = 10. Given that y = 10, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = f + 2 to g, which gives g = f + 18.\n2. Substitute f = i + 5 to g, which gives g = i + 23.\n3. Substitute i = d + 13 to g, which gives g = d + 36.\n4. Substitute d = r + 17 to g, which gives g = r + 53.\n5. Substitute r = y + 7 to g, which gives g = y + 60.\n6. Substitute y = 10 to g, which gives g = 70.\n\nThus, the final answer is g = \\boxed{70}.",
"index": 17175,
"question": "Suppose a collection of variables is related by the following definitions: e = n + 20; i = d + 13; n = y + 3; t = j + 7; r = y + 7; g = z + 16; j = x + 13; z = f + 2; d = r + 17; x = b + 9; b = e + 8; f = i + 5; y = 10. Given that y = 10, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"p": "i + 15", "e": "p + 13", "r": "e + 9", "w": "r + 20", "c": "w + 5", "x": "c + 18", "u": "i + 8", "t": "u + 1", "m": "t + 5", "b": "m + 13", "h": "b + 11", "d": "h + 3", "i": 13}, "premises": {"i": 13}, "target": "x"}, "answer": {"steps": [["c", "w + 5", "w + 23"], ["w", "r + 20", "r + 43"], ["r", "e + 9", "e + 52"], ["e", "p + 13", "p + 65"], ["p", "i + 15", "i + 80"], ["i", 13, "93"]], "target_var_name": "x", "target_value": 93, "value_dict": {"i": 13}, "is_reverse": true}} | 17,176 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = c + 18; c = w + 5; i = 13; m = t + 5; d = h + 3; h = b + 11; b = m + 13; w = r + 20; u = i + 8; p = i + 15; r = e + 9; t = u + 1; e = p + 13. Given that i = 13, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = w + 5 to x, which gives x = w + 23.\n2. Substitute w = r + 20 to x, which gives x = r + 43.\n3. Substitute r = e + 9 to x, which gives x = e + 52.\n4. Substitute e = p + 13 to x, which gives x = p + 65.\n5. Substitute p = i + 15 to x, which gives x = i + 80.\n6. Substitute i = 13 to x, which gives x = 93.\n\nThus, the final answer is x = \\boxed{93}.",
"index": 17176,
"question": "Suppose a collection of variables is related by the following definitions: x = c + 18; c = w + 5; i = 13; m = t + 5; d = h + 3; h = b + 11; b = m + 13; w = r + 20; u = i + 8; p = i + 15; r = e + 9; t = u + 1; e = p + 13. Given that i = 13, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"f": "x + 7", "i": "f + 5", "c": "i + 11", "v": "c + 12", "u": "v + 4", "n": "u + 20", "g": "x + 12", "l": "g + 13", "z": "l + 20", "a": "z + 12", "h": "a + 1", "o": "h + 8", "x": 19}, "premises": {"x": 19}, "target": "n"}, "answer": {"steps": [["u", "v + 4", "v + 24"], ["v", "c + 12", "c + 36"], ["c", "i + 11", "i + 47"], ["i", "f + 5", "f + 52"], ["f", "x + 7", "x + 59"], ["x", 19, "78"]], "target_var_name": "n", "target_value": 78, "value_dict": {"x": 19}, "is_reverse": true}} | 17,177 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = f + 5; n = u + 20; o = h + 8; l = g + 13; c = i + 11; v = c + 12; u = v + 4; x = 19; f = x + 7; h = a + 1; a = z + 12; g = x + 12; z = l + 20. Given that x = 19, 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 u = v + 4 to n, which gives n = v + 24.\n2. Substitute v = c + 12 to n, which gives n = c + 36.\n3. Substitute c = i + 11 to n, which gives n = i + 47.\n4. Substitute i = f + 5 to n, which gives n = f + 52.\n5. Substitute f = x + 7 to n, which gives n = x + 59.\n6. Substitute x = 19 to n, which gives n = 78.\n\nThus, the final answer is n = \\boxed{78}.",
"index": 17177,
"question": "Suppose a collection of variables is related by the following definitions: i = f + 5; n = u + 20; o = h + 8; l = g + 13; c = i + 11; v = c + 12; u = v + 4; x = 19; f = x + 7; h = a + 1; a = z + 12; g = x + 12; z = l + 20. Given that x = 19, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"t": "q + 6", "a": "t + 20", "s": "a + 11", "m": "s + 2", "z": "m + 5", "d": "z + 18", "x": "q + 7", "v": "x + 16", "u": "v + 3", "f": "u + 16", "i": "f + 1", "e": "i + 1", "q": 20}, "premises": {"q": 20}, "target": "d"}, "answer": {"steps": [["z", "m + 5", "m + 23"], ["m", "s + 2", "s + 25"], ["s", "a + 11", "a + 36"], ["a", "t + 20", "t + 56"], ["t", "q + 6", "q + 62"], ["q", 20, "82"]], "target_var_name": "d", "target_value": 82, "value_dict": {"q": 20}, "is_reverse": true}} | 17,178 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = i + 1; t = q + 6; m = s + 2; a = t + 20; q = 20; f = u + 16; d = z + 18; u = v + 3; z = m + 5; i = f + 1; s = a + 11; v = x + 16; x = q + 7. Given that q = 20, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = m + 5 to d, which gives d = m + 23.\n2. Substitute m = s + 2 to d, which gives d = s + 25.\n3. Substitute s = a + 11 to d, which gives d = a + 36.\n4. Substitute a = t + 20 to d, which gives d = t + 56.\n5. Substitute t = q + 6 to d, which gives d = q + 62.\n6. Substitute q = 20 to d, which gives d = 82.\n\nThus, the final answer is d = \\boxed{82}.",
"index": 17178,
"question": "Suppose a collection of variables is related by the following definitions: e = i + 1; t = q + 6; m = s + 2; a = t + 20; q = 20; f = u + 16; d = z + 18; u = v + 3; z = m + 5; i = f + 1; s = a + 11; v = x + 16; x = q + 7. Given that q = 20, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"g": "q + 18", "n": "g + 20", "h": "n + 2", "j": "h + 10", "p": "j + 3", "u": "p + 19", "s": "q + 12", "y": "s + 15", "r": "y + 6", "f": "r + 10", "c": "f + 1", "l": "c + 20", "q": 5}, "premises": {"q": 5}, "target": "u"}, "answer": {"steps": [["p", "j + 3", "j + 22"], ["j", "h + 10", "h + 32"], ["h", "n + 2", "n + 34"], ["n", "g + 20", "g + 54"], ["g", "q + 18", "q + 72"], ["q", 5, "77"]], "target_var_name": "u", "target_value": 77, "value_dict": {"q": 5}, "is_reverse": true}} | 17,179 | 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 + 12; y = s + 15; l = c + 20; r = y + 6; q = 5; f = r + 10; g = q + 18; h = n + 2; p = j + 3; j = h + 10; u = p + 19; n = g + 20; c = f + 1. If q = 5, 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 p = j + 3 to u, which gives u = j + 22.\n2. Substitute j = h + 10 to u, which gives u = h + 32.\n3. Substitute h = n + 2 to u, which gives u = n + 34.\n4. Substitute n = g + 20 to u, which gives u = g + 54.\n5. Substitute g = q + 18 to u, which gives u = q + 72.\n6. Substitute q = 5 to u, which gives u = 77.\n\nThus, the final answer is u = \\boxed{77}.",
"index": 17179,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = q + 12; y = s + 15; l = c + 20; r = y + 6; q = 5; f = r + 10; g = q + 18; h = n + 2; p = j + 3; j = h + 10; u = p + 19; n = g + 20; c = f + 1. If q = 5, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"v": "p + 7", "q": "v + 2", "u": "q + 15", "a": "u + 4", "e": "a + 6", "l": "e + 17", "b": "p + 15", "s": "b + 6", "o": "s + 16", "z": "o + 20", "k": "z + 11", "y": "k + 11", "p": 5}, "premises": {"p": 5}, "target": "l"}, "answer": {"steps": [["e", "a + 6", "a + 23"], ["a", "u + 4", "u + 27"], ["u", "q + 15", "q + 42"], ["q", "v + 2", "v + 44"], ["v", "p + 7", "p + 51"], ["p", 5, "56"]], "target_var_name": "l", "target_value": 56, "value_dict": {"p": 5}, "is_reverse": true}} | 17,180 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = p + 7; u = q + 15; y = k + 11; p = 5; q = v + 2; k = z + 11; e = a + 6; z = o + 20; l = e + 17; b = p + 15; a = u + 4; o = s + 16; s = b + 6. Given that p = 5, find the 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 e = a + 6 to l, which gives l = a + 23.\n2. Substitute a = u + 4 to l, which gives l = u + 27.\n3. Substitute u = q + 15 to l, which gives l = q + 42.\n4. Substitute q = v + 2 to l, which gives l = v + 44.\n5. Substitute v = p + 7 to l, which gives l = p + 51.\n6. Substitute p = 5 to l, which gives l = 56.\n\nThus, the final answer is l = \\boxed{56}.",
"index": 17180,
"question": "Suppose a collection of variables is related by the following definitions: v = p + 7; u = q + 15; y = k + 11; p = 5; q = v + 2; k = z + 11; e = a + 6; z = o + 20; l = e + 17; b = p + 15; a = u + 4; o = s + 16; s = b + 6. Given that p = 5, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"k": "u + 18", "s": "k + 18", "t": "s + 13", "d": "t + 12", "h": "d + 2", "v": "h + 12", "w": "u + 6", "m": "w + 17", "n": "m + 2", "l": "n + 12", "a": "l + 6", "b": "a + 6", "u": 4}, "premises": {"u": 4}, "target": "v"}, "answer": {"steps": [["h", "d + 2", "d + 14"], ["d", "t + 12", "t + 26"], ["t", "s + 13", "s + 39"], ["s", "k + 18", "k + 57"], ["k", "u + 18", "u + 75"], ["u", 4, "79"]], "target_var_name": "v", "target_value": 79, "value_dict": {"u": 4}, "is_reverse": true}} | 17,181 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = m + 2; w = u + 6; u = 4; d = t + 12; s = k + 18; b = a + 6; k = u + 18; a = l + 6; l = n + 12; m = w + 17; h = d + 2; v = h + 12; t = s + 13. Given that u = 4, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = d + 2 to v, which gives v = d + 14.\n2. Substitute d = t + 12 to v, which gives v = t + 26.\n3. Substitute t = s + 13 to v, which gives v = s + 39.\n4. Substitute s = k + 18 to v, which gives v = k + 57.\n5. Substitute k = u + 18 to v, which gives v = u + 75.\n6. Substitute u = 4 to v, which gives v = 79.\n\nThus, the final answer is v = \\boxed{79}.",
"index": 17181,
"question": "Suppose a collection of variables is related by the following definitions: n = m + 2; w = u + 6; u = 4; d = t + 12; s = k + 18; b = a + 6; k = u + 18; a = l + 6; l = n + 12; m = w + 17; h = d + 2; v = h + 12; t = s + 13. Given that u = 4, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"g": "l + 5", "w": "g + 6", "j": "w + 14", "d": "j + 18", "s": "d + 5", "h": "s + 13", "c": "l + 8", "f": "c + 17", "t": "f + 7", "q": "t + 1", "n": "q + 3", "m": "n + 17", "l": 1}, "premises": {"l": 1}, "target": "h"}, "answer": {"steps": [["s", "d + 5", "d + 18"], ["d", "j + 18", "j + 36"], ["j", "w + 14", "w + 50"], ["w", "g + 6", "g + 56"], ["g", "l + 5", "l + 61"], ["l", 1, "62"]], "target_var_name": "h", "target_value": 62, "value_dict": {"l": 1}, "is_reverse": true}} | 17,182 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = g + 6; g = l + 5; s = d + 5; h = s + 13; f = c + 17; d = j + 18; n = q + 3; m = n + 17; t = f + 7; q = t + 1; j = w + 14; c = l + 8; l = 1. If l = 1, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = d + 5 to h, which gives h = d + 18.\n2. Substitute d = j + 18 to h, which gives h = j + 36.\n3. Substitute j = w + 14 to h, which gives h = w + 50.\n4. Substitute w = g + 6 to h, which gives h = g + 56.\n5. Substitute g = l + 5 to h, which gives h = l + 61.\n6. Substitute l = 1 to h, which gives h = 62.\n\nThus, the final answer is h = \\boxed{62}.",
"index": 17182,
"question": "Consider a system of variables where each variable is defined as follows: w = g + 6; g = l + 5; s = d + 5; h = s + 13; f = c + 17; d = j + 18; n = q + 3; m = n + 17; t = f + 7; q = t + 1; j = w + 14; c = l + 8; l = 1. If l = 1, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"p": "o + 15", "e": "p + 13", "q": "e + 11", "i": "q + 6", "n": "i + 3", "t": "n + 1", "j": "o + 16", "y": "j + 18", "g": "y + 12", "b": "g + 18", "v": "b + 5", "a": "v + 12", "o": 5}, "premises": {"o": 5}, "target": "t"}, "answer": {"steps": [["n", "i + 3", "i + 4"], ["i", "q + 6", "q + 10"], ["q", "e + 11", "e + 21"], ["e", "p + 13", "p + 34"], ["p", "o + 15", "o + 49"], ["o", 5, "54"]], "target_var_name": "t", "target_value": 54, "value_dict": {"o": 5}, "is_reverse": true}} | 17,183 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = q + 6; v = b + 5; j = o + 16; n = i + 3; b = g + 18; e = p + 13; q = e + 11; o = 5; t = n + 1; a = v + 12; p = o + 15; g = y + 12; y = j + 18. If o = 5, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = i + 3 to t, which gives t = i + 4.\n2. Substitute i = q + 6 to t, which gives t = q + 10.\n3. Substitute q = e + 11 to t, which gives t = e + 21.\n4. Substitute e = p + 13 to t, which gives t = p + 34.\n5. Substitute p = o + 15 to t, which gives t = o + 49.\n6. Substitute o = 5 to t, which gives t = 54.\n\nThus, the final answer is t = \\boxed{54}.",
"index": 17183,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = q + 6; v = b + 5; j = o + 16; n = i + 3; b = g + 18; e = p + 13; q = e + 11; o = 5; t = n + 1; a = v + 12; p = o + 15; g = y + 12; y = j + 18. If o = 5, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"s": "u + 7", "b": "s + 15", "q": "b + 3", "d": "q + 15", "h": "d + 17", "g": "h + 12", "f": "u + 9", "p": "f + 19", "w": "p + 3", "y": "w + 17", "i": "y + 5", "k": "i + 2", "u": 18}, "premises": {"u": 18}, "target": "g"}, "answer": {"steps": [["h", "d + 17", "d + 29"], ["d", "q + 15", "q + 44"], ["q", "b + 3", "b + 47"], ["b", "s + 15", "s + 62"], ["s", "u + 7", "u + 69"], ["u", 18, "87"]], "target_var_name": "g", "target_value": 87, "value_dict": {"u": 18}, "is_reverse": true}} | 17,184 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = d + 17; s = u + 7; i = y + 5; b = s + 15; f = u + 9; y = w + 17; q = b + 3; k = i + 2; d = q + 15; g = h + 12; p = f + 19; w = p + 3; u = 18. If u = 18, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = d + 17 to g, which gives g = d + 29.\n2. Substitute d = q + 15 to g, which gives g = q + 44.\n3. Substitute q = b + 3 to g, which gives g = b + 47.\n4. Substitute b = s + 15 to g, which gives g = s + 62.\n5. Substitute s = u + 7 to g, which gives g = u + 69.\n6. Substitute u = 18 to g, which gives g = 87.\n\nThus, the final answer is g = \\boxed{87}.",
"index": 17184,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = d + 17; s = u + 7; i = y + 5; b = s + 15; f = u + 9; y = w + 17; q = b + 3; k = i + 2; d = q + 15; g = h + 12; p = f + 19; w = p + 3; u = 18. If u = 18, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"b": "t + 15", "y": "b + 12", "q": "y + 16", "e": "q + 10", "m": "e + 2", "h": "m + 13", "w": "t + 3", "z": "w + 14", "u": "z + 19", "r": "u + 6", "d": "r + 12", "x": "d + 12", "t": 20}, "premises": {"t": 20}, "target": "h"}, "answer": {"steps": [["m", "e + 2", "e + 15"], ["e", "q + 10", "q + 25"], ["q", "y + 16", "y + 41"], ["y", "b + 12", "b + 53"], ["b", "t + 15", "t + 68"], ["t", 20, "88"]], "target_var_name": "h", "target_value": 88, "value_dict": {"t": 20}, "is_reverse": true}} | 17,185 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = u + 6; x = d + 12; e = q + 10; h = m + 13; d = r + 12; y = b + 12; w = t + 3; z = w + 14; m = e + 2; b = t + 15; u = z + 19; t = 20; q = y + 16. If t = 20, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = e + 2 to h, which gives h = e + 15.\n2. Substitute e = q + 10 to h, which gives h = q + 25.\n3. Substitute q = y + 16 to h, which gives h = y + 41.\n4. Substitute y = b + 12 to h, which gives h = b + 53.\n5. Substitute b = t + 15 to h, which gives h = t + 68.\n6. Substitute t = 20 to h, which gives h = 88.\n\nThus, the final answer is h = \\boxed{88}.",
"index": 17185,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = u + 6; x = d + 12; e = q + 10; h = m + 13; d = r + 12; y = b + 12; w = t + 3; z = w + 14; m = e + 2; b = t + 15; u = z + 19; t = 20; q = y + 16. If t = 20, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"q": "g + 6", "u": "q + 6", "s": "u + 15", "h": "s + 6", "b": "h + 10", "t": "b + 8", "r": "g + 6", "c": "r + 18", "w": "c + 18", "z": "w + 18", "o": "z + 15", "i": "o + 8", "g": 1}, "premises": {"g": 1}, "target": "t"}, "answer": {"steps": [["b", "h + 10", "h + 18"], ["h", "s + 6", "s + 24"], ["s", "u + 15", "u + 39"], ["u", "q + 6", "q + 45"], ["q", "g + 6", "g + 51"], ["g", 1, "52"]], "target_var_name": "t", "target_value": 52, "value_dict": {"g": 1}, "is_reverse": true}} | 17,186 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = s + 6; g = 1; b = h + 10; o = z + 15; c = r + 18; i = o + 8; t = b + 8; q = g + 6; u = q + 6; s = u + 15; z = w + 18; r = g + 6; w = c + 18. If g = 1, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = h + 10 to t, which gives t = h + 18.\n2. Substitute h = s + 6 to t, which gives t = s + 24.\n3. Substitute s = u + 15 to t, which gives t = u + 39.\n4. Substitute u = q + 6 to t, which gives t = q + 45.\n5. Substitute q = g + 6 to t, which gives t = g + 51.\n6. Substitute g = 1 to t, which gives t = 52.\n\nThus, the final answer is t = \\boxed{52}.",
"index": 17186,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = s + 6; g = 1; b = h + 10; o = z + 15; c = r + 18; i = o + 8; t = b + 8; q = g + 6; u = q + 6; s = u + 15; z = w + 18; r = g + 6; w = c + 18. If g = 1, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"h": "g + 15", "p": "h + 9", "f": "p + 19", "d": "f + 2", "y": "d + 20", "l": "y + 17", "r": "g + 20", "c": "r + 12", "s": "c + 8", "t": "s + 9", "b": "t + 13", "i": "b + 12", "g": 3}, "premises": {"g": 3}, "target": "l"}, "answer": {"steps": [["y", "d + 20", "d + 37"], ["d", "f + 2", "f + 39"], ["f", "p + 19", "p + 58"], ["p", "h + 9", "h + 67"], ["h", "g + 15", "g + 82"], ["g", 3, "85"]], "target_var_name": "l", "target_value": 85, "value_dict": {"g": 3}, "is_reverse": true}} | 17,187 | 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 = p + 19; s = c + 8; d = f + 2; p = h + 9; b = t + 13; g = 3; i = b + 12; c = r + 12; l = y + 17; r = g + 20; h = g + 15; t = s + 9; y = d + 20. If g = 3, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = d + 20 to l, which gives l = d + 37.\n2. Substitute d = f + 2 to l, which gives l = f + 39.\n3. Substitute f = p + 19 to l, which gives l = p + 58.\n4. Substitute p = h + 9 to l, which gives l = h + 67.\n5. Substitute h = g + 15 to l, which gives l = g + 82.\n6. Substitute g = 3 to l, which gives l = 85.\n\nThus, the final answer is l = \\boxed{85}.",
"index": 17187,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = p + 19; s = c + 8; d = f + 2; p = h + 9; b = t + 13; g = 3; i = b + 12; c = r + 12; l = y + 17; r = g + 20; h = g + 15; t = s + 9; y = d + 20. If g = 3, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"e": "t + 16", "d": "e + 19", "m": "d + 18", "v": "m + 12", "s": "v + 13", "z": "s + 12", "i": "t + 3", "y": "i + 13", "j": "y + 10", "r": "j + 2", "l": "r + 6", "w": "l + 6", "t": 18}, "premises": {"t": 18}, "target": "z"}, "answer": {"steps": [["s", "v + 13", "v + 25"], ["v", "m + 12", "m + 37"], ["m", "d + 18", "d + 55"], ["d", "e + 19", "e + 74"], ["e", "t + 16", "t + 90"], ["t", 18, "108"]], "target_var_name": "z", "target_value": 108, "value_dict": {"t": 18}, "is_reverse": true}} | 17,188 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = e + 19; e = t + 16; i = t + 3; y = i + 13; l = r + 6; j = y + 10; s = v + 13; m = d + 18; w = l + 6; v = m + 12; r = j + 2; t = 18; z = s + 12. If t = 18, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 108,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = v + 13 to z, which gives z = v + 25.\n2. Substitute v = m + 12 to z, which gives z = m + 37.\n3. Substitute m = d + 18 to z, which gives z = d + 55.\n4. Substitute d = e + 19 to z, which gives z = e + 74.\n5. Substitute e = t + 16 to z, which gives z = t + 90.\n6. Substitute t = 18 to z, which gives z = 108.\n\nThus, the final answer is z = \\boxed{108}.",
"index": 17188,
"question": "Consider a system of variables where each variable is defined as follows: d = e + 19; e = t + 16; i = t + 3; y = i + 13; l = r + 6; j = y + 10; s = v + 13; m = d + 18; w = l + 6; v = m + 12; r = j + 2; t = 18; z = s + 12. If t = 18, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"x": "e + 2", "q": "x + 19", "d": "q + 6", "v": "d + 6", "r": "v + 1", "a": "r + 3", "i": "e + 7", "b": "i + 10", "h": "b + 18", "c": "h + 17", "f": "c + 1", "u": "f + 2", "e": 15}, "premises": {"e": 15}, "target": "a"}, "answer": {"steps": [["r", "v + 1", "v + 4"], ["v", "d + 6", "d + 10"], ["d", "q + 6", "q + 16"], ["q", "x + 19", "x + 35"], ["x", "e + 2", "e + 37"], ["e", 15, "52"]], "target_var_name": "a", "target_value": 52, "value_dict": {"e": 15}, "is_reverse": true}} | 17,189 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = r + 3; x = e + 2; h = b + 18; r = v + 1; b = i + 10; q = x + 19; c = h + 17; d = q + 6; e = 15; i = e + 7; u = f + 2; f = c + 1; v = d + 6. If e = 15, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = v + 1 to a, which gives a = v + 4.\n2. Substitute v = d + 6 to a, which gives a = d + 10.\n3. Substitute d = q + 6 to a, which gives a = q + 16.\n4. Substitute q = x + 19 to a, which gives a = x + 35.\n5. Substitute x = e + 2 to a, which gives a = e + 37.\n6. Substitute e = 15 to a, which gives a = 52.\n\nThus, the final answer is a = \\boxed{52}.",
"index": 17189,
"question": "Consider a system of variables where each variable is defined as follows: a = r + 3; x = e + 2; h = b + 18; r = v + 1; b = i + 10; q = x + 19; c = h + 17; d = q + 6; e = 15; i = e + 7; u = f + 2; f = c + 1; v = d + 6. If e = 15, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"j": "x + 19", "c": "j + 11", "d": "c + 7", "i": "d + 2", "n": "i + 15", "o": "n + 14", "y": "x + 7", "a": "y + 16", "l": "a + 15", "p": "l + 16", "z": "p + 14", "h": "z + 11", "x": 7}, "premises": {"x": 7}, "target": "o"}, "answer": {"steps": [["n", "i + 15", "i + 29"], ["i", "d + 2", "d + 31"], ["d", "c + 7", "c + 38"], ["c", "j + 11", "j + 49"], ["j", "x + 19", "x + 68"], ["x", 7, "75"]], "target_var_name": "o", "target_value": 75, "value_dict": {"x": 7}, "is_reverse": true}} | 17,190 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = z + 11; z = p + 14; i = d + 2; o = n + 14; d = c + 7; x = 7; p = l + 16; j = x + 19; a = y + 16; l = a + 15; n = i + 15; c = j + 11; y = x + 7. If x = 7, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = i + 15 to o, which gives o = i + 29.\n2. Substitute i = d + 2 to o, which gives o = d + 31.\n3. Substitute d = c + 7 to o, which gives o = c + 38.\n4. Substitute c = j + 11 to o, which gives o = j + 49.\n5. Substitute j = x + 19 to o, which gives o = x + 68.\n6. Substitute x = 7 to o, which gives o = 75.\n\nThus, the final answer is o = \\boxed{75}.",
"index": 17190,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = z + 11; z = p + 14; i = d + 2; o = n + 14; d = c + 7; x = 7; p = l + 16; j = x + 19; a = y + 16; l = a + 15; n = i + 15; c = j + 11; y = x + 7. If x = 7, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"w": "q + 1", "a": "w + 7", "r": "a + 6", "h": "r + 20", "m": "h + 6", "b": "m + 7", "y": "q + 16", "l": "y + 11", "g": "l + 12", "x": "g + 20", "e": "x + 7", "z": "e + 12", "q": 6}, "premises": {"q": 6}, "target": "b"}, "answer": {"steps": [["m", "h + 6", "h + 13"], ["h", "r + 20", "r + 33"], ["r", "a + 6", "a + 39"], ["a", "w + 7", "w + 46"], ["w", "q + 1", "q + 47"], ["q", 6, "53"]], "target_var_name": "b", "target_value": 53, "value_dict": {"q": 6}, "is_reverse": true}} | 17,191 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = h + 6; w = q + 1; l = y + 11; x = g + 20; y = q + 16; e = x + 7; a = w + 7; r = a + 6; g = l + 12; q = 6; b = m + 7; z = e + 12; h = r + 20. If q = 6, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = h + 6 to b, which gives b = h + 13.\n2. Substitute h = r + 20 to b, which gives b = r + 33.\n3. Substitute r = a + 6 to b, which gives b = a + 39.\n4. Substitute a = w + 7 to b, which gives b = w + 46.\n5. Substitute w = q + 1 to b, which gives b = q + 47.\n6. Substitute q = 6 to b, which gives b = 53.\n\nThus, the final answer is b = \\boxed{53}.",
"index": 17191,
"question": "Consider a system of variables where each variable is defined as follows: m = h + 6; w = q + 1; l = y + 11; x = g + 20; y = q + 16; e = x + 7; a = w + 7; r = a + 6; g = l + 12; q = 6; b = m + 7; z = e + 12; h = r + 20. If q = 6, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"y": "w + 3", "g": "y + 9", "a": "g + 18", "h": "a + 7", "k": "h + 19", "r": "k + 1", "i": "w + 15", "o": "i + 16", "m": "o + 8", "q": "m + 15", "p": "q + 14", "z": "p + 5", "w": 19}, "premises": {"w": 19}, "target": "r"}, "answer": {"steps": [["k", "h + 19", "h + 20"], ["h", "a + 7", "a + 27"], ["a", "g + 18", "g + 45"], ["g", "y + 9", "y + 54"], ["y", "w + 3", "w + 57"], ["w", 19, "76"]], "target_var_name": "r", "target_value": 76, "value_dict": {"w": 19}, "is_reverse": true}} | 17,192 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = q + 14; k = h + 19; i = w + 15; a = g + 18; q = m + 15; w = 19; m = o + 8; g = y + 9; z = p + 5; h = a + 7; y = w + 3; o = i + 16; r = k + 1. Given that w = 19, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = h + 19 to r, which gives r = h + 20.\n2. Substitute h = a + 7 to r, which gives r = a + 27.\n3. Substitute a = g + 18 to r, which gives r = g + 45.\n4. Substitute g = y + 9 to r, which gives r = y + 54.\n5. Substitute y = w + 3 to r, which gives r = w + 57.\n6. Substitute w = 19 to r, which gives r = 76.\n\nThus, the final answer is r = \\boxed{76}.",
"index": 17192,
"question": "Suppose a collection of variables is related by the following definitions: p = q + 14; k = h + 19; i = w + 15; a = g + 18; q = m + 15; w = 19; m = o + 8; g = y + 9; z = p + 5; h = a + 7; y = w + 3; o = i + 16; r = k + 1. Given that w = 19, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"z": "f + 17", "i": "z + 1", "o": "i + 12", "g": "o + 17", "a": "g + 2", "r": "a + 5", "n": "f + 1", "m": "n + 5", "j": "m + 16", "k": "j + 17", "h": "k + 10", "u": "h + 5", "f": 1}, "premises": {"f": 1}, "target": "r"}, "answer": {"steps": [["a", "g + 2", "g + 7"], ["g", "o + 17", "o + 24"], ["o", "i + 12", "i + 36"], ["i", "z + 1", "z + 37"], ["z", "f + 17", "f + 54"], ["f", 1, "55"]], "target_var_name": "r", "target_value": 55, "value_dict": {"f": 1}, "is_reverse": true}} | 17,193 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = i + 12; f = 1; h = k + 10; j = m + 16; n = f + 1; a = g + 2; g = o + 17; z = f + 17; k = j + 17; m = n + 5; i = z + 1; r = a + 5; u = h + 5. If f = 1, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = g + 2 to r, which gives r = g + 7.\n2. Substitute g = o + 17 to r, which gives r = o + 24.\n3. Substitute o = i + 12 to r, which gives r = i + 36.\n4. Substitute i = z + 1 to r, which gives r = z + 37.\n5. Substitute z = f + 17 to r, which gives r = f + 54.\n6. Substitute f = 1 to r, which gives r = 55.\n\nThus, the final answer is r = \\boxed{55}.",
"index": 17193,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = i + 12; f = 1; h = k + 10; j = m + 16; n = f + 1; a = g + 2; g = o + 17; z = f + 17; k = j + 17; m = n + 5; i = z + 1; r = a + 5; u = h + 5. If f = 1, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"l": "q + 15", "g": "l + 18", "i": "g + 6", "a": "i + 15", "y": "a + 13", "v": "y + 2", "w": "q + 19", "c": "w + 3", "o": "c + 14", "n": "o + 1", "k": "n + 11", "x": "k + 19", "q": 13}, "premises": {"q": 13}, "target": "v"}, "answer": {"steps": [["y", "a + 13", "a + 15"], ["a", "i + 15", "i + 30"], ["i", "g + 6", "g + 36"], ["g", "l + 18", "l + 54"], ["l", "q + 15", "q + 69"], ["q", 13, "82"]], "target_var_name": "v", "target_value": 82, "value_dict": {"q": 13}, "is_reverse": true}} | 17,194 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = n + 11; g = l + 18; q = 13; n = o + 1; w = q + 19; l = q + 15; a = i + 15; i = g + 6; o = c + 14; x = k + 19; c = w + 3; y = a + 13; v = y + 2. Given that q = 13, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = a + 13 to v, which gives v = a + 15.\n2. Substitute a = i + 15 to v, which gives v = i + 30.\n3. Substitute i = g + 6 to v, which gives v = g + 36.\n4. Substitute g = l + 18 to v, which gives v = l + 54.\n5. Substitute l = q + 15 to v, which gives v = q + 69.\n6. Substitute q = 13 to v, which gives v = 82.\n\nThus, the final answer is v = \\boxed{82}.",
"index": 17194,
"question": "Suppose a collection of variables is related by the following definitions: k = n + 11; g = l + 18; q = 13; n = o + 1; w = q + 19; l = q + 15; a = i + 15; i = g + 6; o = c + 14; x = k + 19; c = w + 3; y = a + 13; v = y + 2. Given that q = 13, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"c": "v + 1", "a": "c + 12", "g": "a + 8", "f": "g + 7", "t": "f + 9", "j": "t + 20", "w": "v + 12", "d": "w + 1", "q": "d + 6", "b": "q + 3", "u": "b + 1", "o": "u + 9", "v": 13}, "premises": {"v": 13}, "target": "j"}, "answer": {"steps": [["t", "f + 9", "f + 29"], ["f", "g + 7", "g + 36"], ["g", "a + 8", "a + 44"], ["a", "c + 12", "c + 56"], ["c", "v + 1", "v + 57"], ["v", 13, "70"]], "target_var_name": "j", "target_value": 70, "value_dict": {"v": 13}, "is_reverse": true}} | 17,195 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = c + 12; w = v + 12; o = u + 9; c = v + 1; b = q + 3; f = g + 7; t = f + 9; v = 13; q = d + 6; d = w + 1; u = b + 1; g = a + 8; j = t + 20. If v = 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 t = f + 9 to j, which gives j = f + 29.\n2. Substitute f = g + 7 to j, which gives j = g + 36.\n3. Substitute g = a + 8 to j, which gives j = a + 44.\n4. Substitute a = c + 12 to j, which gives j = c + 56.\n5. Substitute c = v + 1 to j, which gives j = v + 57.\n6. Substitute v = 13 to j, which gives j = 70.\n\nThus, the final answer is j = \\boxed{70}.",
"index": 17195,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = c + 12; w = v + 12; o = u + 9; c = v + 1; b = q + 3; f = g + 7; t = f + 9; v = 13; q = d + 6; d = w + 1; u = b + 1; g = a + 8; j = t + 20. If v = 13, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"q": "u + 4", "m": "q + 5", "w": "m + 20", "r": "w + 18", "g": "r + 11", "i": "g + 11", "l": "u + 15", "o": "l + 15", "t": "o + 15", "k": "t + 10", "d": "k + 16", "s": "d + 10", "u": 7}, "premises": {"u": 7}, "target": "i"}, "answer": {"steps": [["g", "r + 11", "r + 22"], ["r", "w + 18", "w + 40"], ["w", "m + 20", "m + 60"], ["m", "q + 5", "q + 65"], ["q", "u + 4", "u + 69"], ["u", 7, "76"]], "target_var_name": "i", "target_value": 76, "value_dict": {"u": 7}, "is_reverse": true}} | 17,196 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = l + 15; k = t + 10; w = m + 20; q = u + 4; r = w + 18; m = q + 5; i = g + 11; u = 7; l = u + 15; t = o + 15; d = k + 16; g = r + 11; s = d + 10. If u = 7, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = r + 11 to i, which gives i = r + 22.\n2. Substitute r = w + 18 to i, which gives i = w + 40.\n3. Substitute w = m + 20 to i, which gives i = m + 60.\n4. Substitute m = q + 5 to i, which gives i = q + 65.\n5. Substitute q = u + 4 to i, which gives i = u + 69.\n6. Substitute u = 7 to i, which gives i = 76.\n\nThus, the final answer is i = \\boxed{76}.",
"index": 17196,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = l + 15; k = t + 10; w = m + 20; q = u + 4; r = w + 18; m = q + 5; i = g + 11; u = 7; l = u + 15; t = o + 15; d = k + 16; g = r + 11; s = d + 10. If u = 7, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"q": "b + 1", "o": "q + 13", "j": "o + 7", "i": "j + 11", "v": "i + 2", "x": "v + 20", "w": "b + 17", "t": "w + 7", "n": "t + 16", "g": "n + 16", "a": "g + 14", "r": "a + 20", "b": 1}, "premises": {"b": 1}, "target": "x"}, "answer": {"steps": [["v", "i + 2", "i + 22"], ["i", "j + 11", "j + 33"], ["j", "o + 7", "o + 40"], ["o", "q + 13", "q + 53"], ["q", "b + 1", "b + 54"], ["b", 1, "55"]], "target_var_name": "x", "target_value": 55, "value_dict": {"b": 1}, "is_reverse": true}} | 17,197 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = i + 2; g = n + 16; t = w + 7; o = q + 13; j = o + 7; x = v + 20; a = g + 14; b = 1; n = t + 16; r = a + 20; q = b + 1; i = j + 11; w = b + 17. If b = 1, 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 v = i + 2 to x, which gives x = i + 22.\n2. Substitute i = j + 11 to x, which gives x = j + 33.\n3. Substitute j = o + 7 to x, which gives x = o + 40.\n4. Substitute o = q + 13 to x, which gives x = q + 53.\n5. Substitute q = b + 1 to x, which gives x = b + 54.\n6. Substitute b = 1 to x, which gives x = 55.\n\nThus, the final answer is x = \\boxed{55}.",
"index": 17197,
"question": "Consider a system of variables where each variable is defined as follows: v = i + 2; g = n + 16; t = w + 7; o = q + 13; j = o + 7; x = v + 20; a = g + 14; b = 1; n = t + 16; r = a + 20; q = b + 1; i = j + 11; w = b + 17. If b = 1, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"r": "x + 3", "a": "r + 3", "y": "a + 15", "t": "y + 2", "n": "t + 13", "e": "n + 20", "k": "x + 1", "o": "k + 17", "c": "o + 17", "u": "c + 2", "s": "u + 15", "l": "s + 5", "x": 20}, "premises": {"x": 20}, "target": "e"}, "answer": {"steps": [["n", "t + 13", "t + 33"], ["t", "y + 2", "y + 35"], ["y", "a + 15", "a + 50"], ["a", "r + 3", "r + 53"], ["r", "x + 3", "x + 56"], ["x", 20, "76"]], "target_var_name": "e", "target_value": 76, "value_dict": {"x": 20}, "is_reverse": true}} | 17,198 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = s + 5; a = r + 3; e = n + 20; s = u + 15; y = a + 15; n = t + 13; u = c + 2; t = y + 2; c = o + 17; x = 20; o = k + 17; k = x + 1; r = x + 3. If x = 20, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = t + 13 to e, which gives e = t + 33.\n2. Substitute t = y + 2 to e, which gives e = y + 35.\n3. Substitute y = a + 15 to e, which gives e = a + 50.\n4. Substitute a = r + 3 to e, which gives e = r + 53.\n5. Substitute r = x + 3 to e, which gives e = x + 56.\n6. Substitute x = 20 to e, which gives e = 76.\n\nThus, the final answer is e = \\boxed{76}.",
"index": 17198,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = s + 5; a = r + 3; e = n + 20; s = u + 15; y = a + 15; n = t + 13; u = c + 2; t = y + 2; c = o + 17; x = 20; o = k + 17; k = x + 1; r = x + 3. If x = 20, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"e": "a + 3", "x": "e + 4", "d": "x + 14", "m": "d + 8", "p": "m + 15", "q": "p + 19", "k": "a + 2", "n": "k + 7", "i": "n + 14", "u": "i + 5", "b": "u + 2", "c": "b + 17", "a": 7}, "premises": {"a": 7}, "target": "q"}, "answer": {"steps": [["p", "m + 15", "m + 34"], ["m", "d + 8", "d + 42"], ["d", "x + 14", "x + 56"], ["x", "e + 4", "e + 60"], ["e", "a + 3", "a + 63"], ["a", 7, "70"]], "target_var_name": "q", "target_value": 70, "value_dict": {"a": 7}, "is_reverse": true}} | 17,199 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = a + 2; e = a + 3; x = e + 4; c = b + 17; a = 7; p = m + 15; i = n + 14; u = i + 5; d = x + 14; q = p + 19; m = d + 8; n = k + 7; b = u + 2. If a = 7, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = m + 15 to q, which gives q = m + 34.\n2. Substitute m = d + 8 to q, which gives q = d + 42.\n3. Substitute d = x + 14 to q, which gives q = x + 56.\n4. Substitute x = e + 4 to q, which gives q = e + 60.\n5. Substitute e = a + 3 to q, which gives q = a + 63.\n6. Substitute a = 7 to q, which gives q = 70.\n\nThus, the final answer is q = \\boxed{70}.",
"index": 17199,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = a + 2; e = a + 3; x = e + 4; c = b + 17; a = 7; p = m + 15; i = n + 14; u = i + 5; d = x + 14; q = p + 19; m = d + 8; n = k + 7; b = u + 2. If a = 7, what is the resulting value of q?",
"split": "train"
} |
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