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": {"x": "b + 12", "z": "x + 11", "q": "z + 4", "g": "q + 13", "k": "g + 8", "v": "k + 8", "h": "b + 10", "o": "h + 2", "f": "o + 12", "y": "f + 13", "d": "y + 14", "i": "d + 17", "b": 13}, "premises": {"b": 13}, "target": "v"}, "answer": {"steps": [["k", "g + 8", "g + 16"], ["g", "q + 13", "q + 29"], ["q", "z + 4", "z + 33"], ["z", "x + 11", "x + 44"], ["x", "b + 12", "b + 56"], ["b", 13, "69"]], "target_var_name": "v", "target_value": 69, "value_dict": {"b": 13}, "is_reverse": true}} | 6,700 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = h + 2; f = o + 12; v = k + 8; y = f + 13; h = b + 10; q = z + 4; k = g + 8; g = q + 13; i = d + 17; b = 13; x = b + 12; z = x + 11; d = y + 14. If b = 13, what is the resulting 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 k = g + 8 to v, which gives v = g + 16.\n2. Substitute g = q + 13 to v, which gives v = q + 29.\n3. Substitute q = z + 4 to v, which gives v = z + 33.\n4. Substitute z = x + 11 to v, which gives v = x + 44.\n5. Substitute x = b + 12 to v, which gives v = b + 56.\n6. Substitute b = 13 to v, which gives v = 69.\n\nThus, the final answer is v = \\boxed{69}.",
"index": 6700,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = h + 2; f = o + 12; v = k + 8; y = f + 13; h = b + 10; q = z + 4; k = g + 8; g = q + 13; i = d + 17; b = 13; x = b + 12; z = x + 11; d = y + 14. If b = 13, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"y": "v + 15", "d": "y + 5", "x": "d + 10", "l": "x + 1", "w": "l + 8", "g": "w + 12", "f": "v + 12", "z": "f + 16", "e": "z + 9", "i": "e + 9", "p": "i + 7", "r": "p + 14", "v": 20}, "premises": {"v": 20}, "target": "g"}, "answer": {"steps": [["w", "l + 8", "l + 20"], ["l", "x + 1", "x + 21"], ["x", "d + 10", "d + 31"], ["d", "y + 5", "y + 36"], ["y", "v + 15", "v + 51"], ["v", 20, "71"]], "target_var_name": "g", "target_value": 71, "value_dict": {"v": 20}, "is_reverse": true}} | 6,701 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = e + 9; g = w + 12; w = l + 8; y = v + 15; r = p + 14; z = f + 16; f = v + 12; e = z + 9; x = d + 10; p = i + 7; d = y + 5; v = 20; l = x + 1. If v = 20, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = l + 8 to g, which gives g = l + 20.\n2. Substitute l = x + 1 to g, which gives g = x + 21.\n3. Substitute x = d + 10 to g, which gives g = d + 31.\n4. Substitute d = y + 5 to g, which gives g = y + 36.\n5. Substitute y = v + 15 to g, which gives g = v + 51.\n6. Substitute v = 20 to g, which gives g = 71.\n\nThus, the final answer is g = \\boxed{71}.",
"index": 6701,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = e + 9; g = w + 12; w = l + 8; y = v + 15; r = p + 14; z = f + 16; f = v + 12; e = z + 9; x = d + 10; p = i + 7; d = y + 5; v = 20; l = x + 1. If v = 20, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"j": "p + 14", "m": "j + 14", "x": "m + 13", "l": "x + 14", "t": "l + 12", "f": "t + 4", "a": "p + 12", "z": "a + 5", "d": "z + 3", "y": "d + 13", "k": "y + 19", "w": "k + 11", "p": 8}, "premises": {"p": 8}, "target": "f"}, "answer": {"steps": [["t", "l + 12", "l + 16"], ["l", "x + 14", "x + 30"], ["x", "m + 13", "m + 43"], ["m", "j + 14", "j + 57"], ["j", "p + 14", "p + 71"], ["p", 8, "79"]], "target_var_name": "f", "target_value": 79, "value_dict": {"p": 8}, "is_reverse": true}} | 6,702 | 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 = p + 12; z = a + 5; w = k + 11; p = 8; x = m + 13; t = l + 12; j = p + 14; d = z + 3; f = t + 4; y = d + 13; l = x + 14; m = j + 14; k = y + 19. If p = 8, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = l + 12 to f, which gives f = l + 16.\n2. Substitute l = x + 14 to f, which gives f = x + 30.\n3. Substitute x = m + 13 to f, which gives f = m + 43.\n4. Substitute m = j + 14 to f, which gives f = j + 57.\n5. Substitute j = p + 14 to f, which gives f = p + 71.\n6. Substitute p = 8 to f, which gives f = 79.\n\nThus, the final answer is f = \\boxed{79}.",
"index": 6702,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = p + 12; z = a + 5; w = k + 11; p = 8; x = m + 13; t = l + 12; j = p + 14; d = z + 3; f = t + 4; y = d + 13; l = x + 14; m = j + 14; k = y + 19. If p = 8, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"o": "l + 8", "v": "o + 2", "f": "v + 6", "q": "f + 11", "y": "q + 1", "a": "y + 11", "c": "l + 2", "e": "c + 6", "k": "e + 2", "x": "k + 15", "d": "x + 16", "u": "d + 13", "l": 13}, "premises": {"l": 13}, "target": "a"}, "answer": {"steps": [["y", "q + 1", "q + 12"], ["q", "f + 11", "f + 23"], ["f", "v + 6", "v + 29"], ["v", "o + 2", "o + 31"], ["o", "l + 8", "l + 39"], ["l", 13, "52"]], "target_var_name": "a", "target_value": 52, "value_dict": {"l": 13}, "is_reverse": true}} | 6,703 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = x + 16; u = d + 13; a = y + 11; o = l + 8; x = k + 15; c = l + 2; f = v + 6; q = f + 11; l = 13; e = c + 6; y = q + 1; k = e + 2; v = o + 2. If l = 13, what is the resulting 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 y = q + 1 to a, which gives a = q + 12.\n2. Substitute q = f + 11 to a, which gives a = f + 23.\n3. Substitute f = v + 6 to a, which gives a = v + 29.\n4. Substitute v = o + 2 to a, which gives a = o + 31.\n5. Substitute o = l + 8 to a, which gives a = l + 39.\n6. Substitute l = 13 to a, which gives a = 52.\n\nThus, the final answer is a = \\boxed{52}.",
"index": 6703,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = x + 16; u = d + 13; a = y + 11; o = l + 8; x = k + 15; c = l + 2; f = v + 6; q = f + 11; l = 13; e = c + 6; y = q + 1; k = e + 2; v = o + 2. If l = 13, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"y": "c + 4", "r": "y + 10", "b": "r + 5", "e": "b + 3", "g": "e + 13", "f": "g + 1", "j": "c + 19", "p": "j + 13", "z": "p + 12", "l": "z + 17", "u": "l + 4", "n": "u + 7", "c": 10}, "premises": {"c": 10}, "target": "f"}, "answer": {"steps": [["g", "e + 13", "e + 14"], ["e", "b + 3", "b + 17"], ["b", "r + 5", "r + 22"], ["r", "y + 10", "y + 32"], ["y", "c + 4", "c + 36"], ["c", 10, "46"]], "target_var_name": "f", "target_value": 46, "value_dict": {"c": 10}, "is_reverse": true}} | 6,704 | 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 = c + 19; b = r + 5; r = y + 10; n = u + 7; c = 10; f = g + 1; u = l + 4; g = e + 13; p = j + 13; z = p + 12; y = c + 4; e = b + 3; l = z + 17. If c = 10, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = e + 13 to f, which gives f = e + 14.\n2. Substitute e = b + 3 to f, which gives f = b + 17.\n3. Substitute b = r + 5 to f, which gives f = r + 22.\n4. Substitute r = y + 10 to f, which gives f = y + 32.\n5. Substitute y = c + 4 to f, which gives f = c + 36.\n6. Substitute c = 10 to f, which gives f = 46.\n\nThus, the final answer is f = \\boxed{46}.",
"index": 6704,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = c + 19; b = r + 5; r = y + 10; n = u + 7; c = 10; f = g + 1; u = l + 4; g = e + 13; p = j + 13; z = p + 12; y = c + 4; e = b + 3; l = z + 17. If c = 10, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"p": "h + 16", "d": "p + 10", "v": "d + 15", "l": "v + 16", "t": "l + 9", "r": "t + 18", "n": "h + 11", "k": "n + 5", "u": "k + 15", "j": "u + 16", "e": "j + 1", "q": "e + 1", "h": 9}, "premises": {"h": 9}, "target": "r"}, "answer": {"steps": [["t", "l + 9", "l + 27"], ["l", "v + 16", "v + 43"], ["v", "d + 15", "d + 58"], ["d", "p + 10", "p + 68"], ["p", "h + 16", "h + 84"], ["h", 9, "93"]], "target_var_name": "r", "target_value": 93, "value_dict": {"h": 9}, "is_reverse": true}} | 6,705 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = l + 9; k = n + 5; v = d + 15; l = v + 16; h = 9; e = j + 1; d = p + 10; j = u + 16; r = t + 18; n = h + 11; p = h + 16; q = e + 1; u = k + 15. If h = 9, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = l + 9 to r, which gives r = l + 27.\n2. Substitute l = v + 16 to r, which gives r = v + 43.\n3. Substitute v = d + 15 to r, which gives r = d + 58.\n4. Substitute d = p + 10 to r, which gives r = p + 68.\n5. Substitute p = h + 16 to r, which gives r = h + 84.\n6. Substitute h = 9 to r, which gives r = 93.\n\nThus, the final answer is r = \\boxed{93}.",
"index": 6705,
"question": "Consider a system of variables where each variable is defined as follows: t = l + 9; k = n + 5; v = d + 15; l = v + 16; h = 9; e = j + 1; d = p + 10; j = u + 16; r = t + 18; n = h + 11; p = h + 16; q = e + 1; u = k + 15. If h = 9, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"y": "r + 8", "g": "y + 4", "s": "g + 19", "c": "s + 2", "p": "c + 9", "n": "p + 19", "m": "r + 9", "v": "m + 11", "j": "v + 14", "b": "j + 12", "a": "b + 12", "q": "a + 17", "r": 15}, "premises": {"r": 15}, "target": "n"}, "answer": {"steps": [["p", "c + 9", "c + 28"], ["c", "s + 2", "s + 30"], ["s", "g + 19", "g + 49"], ["g", "y + 4", "y + 53"], ["y", "r + 8", "r + 61"], ["r", 15, "76"]], "target_var_name": "n", "target_value": 76, "value_dict": {"r": 15}, "is_reverse": true}} | 6,706 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = v + 14; b = j + 12; q = a + 17; s = g + 19; g = y + 4; r = 15; n = p + 19; m = r + 9; y = r + 8; c = s + 2; v = m + 11; a = b + 12; p = c + 9. If r = 15, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = c + 9 to n, which gives n = c + 28.\n2. Substitute c = s + 2 to n, which gives n = s + 30.\n3. Substitute s = g + 19 to n, which gives n = g + 49.\n4. Substitute g = y + 4 to n, which gives n = y + 53.\n5. Substitute y = r + 8 to n, which gives n = r + 61.\n6. Substitute r = 15 to n, which gives n = 76.\n\nThus, the final answer is n = \\boxed{76}.",
"index": 6706,
"question": "Consider a system of variables where each variable is defined as follows: j = v + 14; b = j + 12; q = a + 17; s = g + 19; g = y + 4; r = 15; n = p + 19; m = r + 9; y = r + 8; c = s + 2; v = m + 11; a = b + 12; p = c + 9. If r = 15, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"g": "n + 20", "d": "g + 4", "w": "d + 18", "y": "w + 5", "q": "y + 10", "u": "q + 9", "j": "n + 18", "o": "j + 15", "z": "o + 6", "f": "z + 14", "c": "f + 20", "k": "c + 16", "n": 4}, "premises": {"n": 4}, "target": "u"}, "answer": {"steps": [["q", "y + 10", "y + 19"], ["y", "w + 5", "w + 24"], ["w", "d + 18", "d + 42"], ["d", "g + 4", "g + 46"], ["g", "n + 20", "n + 66"], ["n", 4, "70"]], "target_var_name": "u", "target_value": 70, "value_dict": {"n": 4}, "is_reverse": true}} | 6,707 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = j + 15; d = g + 4; u = q + 9; q = y + 10; c = f + 20; g = n + 20; k = c + 16; j = n + 18; f = z + 14; n = 4; z = o + 6; w = d + 18; y = w + 5. If n = 4, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = y + 10 to u, which gives u = y + 19.\n2. Substitute y = w + 5 to u, which gives u = w + 24.\n3. Substitute w = d + 18 to u, which gives u = d + 42.\n4. Substitute d = g + 4 to u, which gives u = g + 46.\n5. Substitute g = n + 20 to u, which gives u = n + 66.\n6. Substitute n = 4 to u, which gives u = 70.\n\nThus, the final answer is u = \\boxed{70}.",
"index": 6707,
"question": "Consider a system of variables where each variable is defined as follows: o = j + 15; d = g + 4; u = q + 9; q = y + 10; c = f + 20; g = n + 20; k = c + 16; j = n + 18; f = z + 14; n = 4; z = o + 6; w = d + 18; y = w + 5. If n = 4, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"e": "y + 9", "r": "e + 18", "g": "r + 20", "f": "g + 14", "v": "f + 2", "t": "v + 3", "o": "y + 4", "k": "o + 8", "x": "k + 10", "w": "x + 1", "h": "w + 12", "n": "h + 11", "y": 9}, "premises": {"y": 9}, "target": "t"}, "answer": {"steps": [["v", "f + 2", "f + 5"], ["f", "g + 14", "g + 19"], ["g", "r + 20", "r + 39"], ["r", "e + 18", "e + 57"], ["e", "y + 9", "y + 66"], ["y", 9, "75"]], "target_var_name": "t", "target_value": 75, "value_dict": {"y": 9}, "is_reverse": true}} | 6,708 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = y + 4; x = k + 10; y = 9; r = e + 18; g = r + 20; e = y + 9; v = f + 2; n = h + 11; w = x + 1; f = g + 14; k = o + 8; h = w + 12; t = v + 3. If y = 9, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = f + 2 to t, which gives t = f + 5.\n2. Substitute f = g + 14 to t, which gives t = g + 19.\n3. Substitute g = r + 20 to t, which gives t = r + 39.\n4. Substitute r = e + 18 to t, which gives t = e + 57.\n5. Substitute e = y + 9 to t, which gives t = y + 66.\n6. Substitute y = 9 to t, which gives t = 75.\n\nThus, the final answer is t = \\boxed{75}.",
"index": 6708,
"question": "Consider a system of variables where each variable is defined as follows: o = y + 4; x = k + 10; y = 9; r = e + 18; g = r + 20; e = y + 9; v = f + 2; n = h + 11; w = x + 1; f = g + 14; k = o + 8; h = w + 12; t = v + 3. If y = 9, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"h": "y + 17", "n": "h + 7", "d": "n + 6", "b": "d + 1", "l": "b + 9", "c": "l + 18", "o": "y + 6", "r": "o + 20", "k": "r + 2", "u": "k + 9", "g": "u + 2", "q": "g + 1", "y": 19}, "premises": {"y": 19}, "target": "c"}, "answer": {"steps": [["l", "b + 9", "b + 27"], ["b", "d + 1", "d + 28"], ["d", "n + 6", "n + 34"], ["n", "h + 7", "h + 41"], ["h", "y + 17", "y + 58"], ["y", 19, "77"]], "target_var_name": "c", "target_value": 77, "value_dict": {"y": 19}, "is_reverse": true}} | 6,709 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = k + 9; r = o + 20; c = l + 18; b = d + 1; l = b + 9; g = u + 2; y = 19; n = h + 7; o = y + 6; q = g + 1; k = r + 2; d = n + 6; h = y + 17. If y = 19, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = b + 9 to c, which gives c = b + 27.\n2. Substitute b = d + 1 to c, which gives c = d + 28.\n3. Substitute d = n + 6 to c, which gives c = n + 34.\n4. Substitute n = h + 7 to c, which gives c = h + 41.\n5. Substitute h = y + 17 to c, which gives c = y + 58.\n6. Substitute y = 19 to c, which gives c = 77.\n\nThus, the final answer is c = \\boxed{77}.",
"index": 6709,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = k + 9; r = o + 20; c = l + 18; b = d + 1; l = b + 9; g = u + 2; y = 19; n = h + 7; o = y + 6; q = g + 1; k = r + 2; d = n + 6; h = y + 17. If y = 19, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"a": "j + 20", "u": "a + 1", "e": "u + 11", "q": "e + 4", "d": "q + 20", "n": "d + 8", "p": "j + 19", "z": "p + 11", "v": "z + 20", "i": "v + 20", "f": "i + 18", "y": "f + 6", "j": 20}, "premises": {"j": 20}, "target": "n"}, "answer": {"steps": [["d", "q + 20", "q + 28"], ["q", "e + 4", "e + 32"], ["e", "u + 11", "u + 43"], ["u", "a + 1", "a + 44"], ["a", "j + 20", "j + 64"], ["j", 20, "84"]], "target_var_name": "n", "target_value": 84, "value_dict": {"j": 20}, "is_reverse": true}} | 6,710 | 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 = p + 11; f = i + 18; u = a + 1; q = e + 4; v = z + 20; i = v + 20; y = f + 6; n = d + 8; p = j + 19; e = u + 11; d = q + 20; j = 20; a = j + 20. If j = 20, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = q + 20 to n, which gives n = q + 28.\n2. Substitute q = e + 4 to n, which gives n = e + 32.\n3. Substitute e = u + 11 to n, which gives n = u + 43.\n4. Substitute u = a + 1 to n, which gives n = a + 44.\n5. Substitute a = j + 20 to n, which gives n = j + 64.\n6. Substitute j = 20 to n, which gives n = 84.\n\nThus, the final answer is n = \\boxed{84}.",
"index": 6710,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = p + 11; f = i + 18; u = a + 1; q = e + 4; v = z + 20; i = v + 20; y = f + 6; n = d + 8; p = j + 19; e = u + 11; d = q + 20; j = 20; a = j + 20. If j = 20, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"z": "f + 5", "a": "z + 17", "j": "a + 7", "c": "j + 11", "x": "c + 15", "y": "x + 19", "s": "f + 4", "d": "s + 12", "n": "d + 12", "t": "n + 16", "p": "t + 11", "r": "p + 14", "f": 3}, "premises": {"f": 3}, "target": "y"}, "answer": {"steps": [["x", "c + 15", "c + 34"], ["c", "j + 11", "j + 45"], ["j", "a + 7", "a + 52"], ["a", "z + 17", "z + 69"], ["z", "f + 5", "f + 74"], ["f", 3, "77"]], "target_var_name": "y", "target_value": 77, "value_dict": {"f": 3}, "is_reverse": true}} | 6,711 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = t + 11; f = 3; j = a + 7; n = d + 12; d = s + 12; c = j + 11; x = c + 15; a = z + 17; y = x + 19; r = p + 14; t = n + 16; z = f + 5; s = f + 4. If f = 3, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = c + 15 to y, which gives y = c + 34.\n2. Substitute c = j + 11 to y, which gives y = j + 45.\n3. Substitute j = a + 7 to y, which gives y = a + 52.\n4. Substitute a = z + 17 to y, which gives y = z + 69.\n5. Substitute z = f + 5 to y, which gives y = f + 74.\n6. Substitute f = 3 to y, which gives y = 77.\n\nThus, the final answer is y = \\boxed{77}.",
"index": 6711,
"question": "Consider a system of variables where each variable is defined as follows: p = t + 11; f = 3; j = a + 7; n = d + 12; d = s + 12; c = j + 11; x = c + 15; a = z + 17; y = x + 19; r = p + 14; t = n + 16; z = f + 5; s = f + 4. If f = 3, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"a": "x + 18", "k": "a + 16", "j": "k + 1", "w": "j + 11", "i": "w + 10", "u": "i + 12", "b": "x + 19", "h": "b + 18", "q": "h + 10", "y": "q + 12", "r": "y + 18", "z": "r + 4", "x": 16}, "premises": {"x": 16}, "target": "u"}, "answer": {"steps": [["i", "w + 10", "w + 22"], ["w", "j + 11", "j + 33"], ["j", "k + 1", "k + 34"], ["k", "a + 16", "a + 50"], ["a", "x + 18", "x + 68"], ["x", 16, "84"]], "target_var_name": "u", "target_value": 84, "value_dict": {"x": 16}, "is_reverse": true}} | 6,712 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = w + 10; k = a + 16; y = q + 12; h = b + 18; u = i + 12; z = r + 4; r = y + 18; q = h + 10; x = 16; b = x + 19; w = j + 11; j = k + 1; a = x + 18. If x = 16, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = w + 10 to u, which gives u = w + 22.\n2. Substitute w = j + 11 to u, which gives u = j + 33.\n3. Substitute j = k + 1 to u, which gives u = k + 34.\n4. Substitute k = a + 16 to u, which gives u = a + 50.\n5. Substitute a = x + 18 to u, which gives u = x + 68.\n6. Substitute x = 16 to u, which gives u = 84.\n\nThus, the final answer is u = \\boxed{84}.",
"index": 6712,
"question": "Consider a system of variables where each variable is defined as follows: i = w + 10; k = a + 16; y = q + 12; h = b + 18; u = i + 12; z = r + 4; r = y + 18; q = h + 10; x = 16; b = x + 19; w = j + 11; j = k + 1; a = x + 18. If x = 16, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"f": "n + 10", "j": "f + 19", "i": "j + 9", "c": "i + 12", "r": "c + 15", "b": "r + 8", "w": "n + 9", "q": "w + 11", "o": "q + 18", "u": "o + 13", "d": "u + 19", "k": "d + 13", "n": 19}, "premises": {"n": 19}, "target": "b"}, "answer": {"steps": [["r", "c + 15", "c + 23"], ["c", "i + 12", "i + 35"], ["i", "j + 9", "j + 44"], ["j", "f + 19", "f + 63"], ["f", "n + 10", "n + 73"], ["n", 19, "92"]], "target_var_name": "b", "target_value": 92, "value_dict": {"n": 19}, "is_reverse": true}} | 6,713 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = q + 18; d = u + 19; u = o + 13; i = j + 9; q = w + 11; k = d + 13; n = 19; j = f + 19; c = i + 12; w = n + 9; f = n + 10; r = c + 15; b = r + 8. Given that n = 19, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = c + 15 to b, which gives b = c + 23.\n2. Substitute c = i + 12 to b, which gives b = i + 35.\n3. Substitute i = j + 9 to b, which gives b = j + 44.\n4. Substitute j = f + 19 to b, which gives b = f + 63.\n5. Substitute f = n + 10 to b, which gives b = n + 73.\n6. Substitute n = 19 to b, which gives b = 92.\n\nThus, the final answer is b = \\boxed{92}.",
"index": 6713,
"question": "Suppose a collection of variables is related by the following definitions: o = q + 18; d = u + 19; u = o + 13; i = j + 9; q = w + 11; k = d + 13; n = 19; j = f + 19; c = i + 12; w = n + 9; f = n + 10; r = c + 15; b = r + 8. Given that n = 19, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"a": "b + 19", "m": "a + 9", "h": "m + 9", "w": "h + 1", "i": "w + 11", "u": "i + 3", "e": "b + 9", "n": "e + 12", "y": "n + 19", "p": "y + 2", "o": "p + 7", "g": "o + 13", "b": 7}, "premises": {"b": 7}, "target": "u"}, "answer": {"steps": [["i", "w + 11", "w + 14"], ["w", "h + 1", "h + 15"], ["h", "m + 9", "m + 24"], ["m", "a + 9", "a + 33"], ["a", "b + 19", "b + 52"], ["b", 7, "59"]], "target_var_name": "u", "target_value": 59, "value_dict": {"b": 7}, "is_reverse": true}} | 6,714 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = e + 12; w = h + 1; i = w + 11; u = i + 3; y = n + 19; g = o + 13; e = b + 9; h = m + 9; a = b + 19; b = 7; p = y + 2; o = p + 7; m = a + 9. If b = 7, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = w + 11 to u, which gives u = w + 14.\n2. Substitute w = h + 1 to u, which gives u = h + 15.\n3. Substitute h = m + 9 to u, which gives u = m + 24.\n4. Substitute m = a + 9 to u, which gives u = a + 33.\n5. Substitute a = b + 19 to u, which gives u = b + 52.\n6. Substitute b = 7 to u, which gives u = 59.\n\nThus, the final answer is u = \\boxed{59}.",
"index": 6714,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = e + 12; w = h + 1; i = w + 11; u = i + 3; y = n + 19; g = o + 13; e = b + 9; h = m + 9; a = b + 19; b = 7; p = y + 2; o = p + 7; m = a + 9. If b = 7, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"m": "e + 1", "y": "m + 16", "i": "y + 20", "k": "i + 3", "s": "k + 10", "o": "s + 7", "n": "e + 4", "q": "n + 1", "v": "q + 8", "h": "v + 19", "f": "h + 10", "g": "f + 16", "e": 8}, "premises": {"e": 8}, "target": "o"}, "answer": {"steps": [["s", "k + 10", "k + 17"], ["k", "i + 3", "i + 20"], ["i", "y + 20", "y + 40"], ["y", "m + 16", "m + 56"], ["m", "e + 1", "e + 57"], ["e", 8, "65"]], "target_var_name": "o", "target_value": 65, "value_dict": {"e": 8}, "is_reverse": true}} | 6,715 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = y + 20; o = s + 7; g = f + 16; e = 8; v = q + 8; m = e + 1; y = m + 16; f = h + 10; s = k + 10; n = e + 4; h = v + 19; k = i + 3; q = n + 1. Given that e = 8, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = k + 10 to o, which gives o = k + 17.\n2. Substitute k = i + 3 to o, which gives o = i + 20.\n3. Substitute i = y + 20 to o, which gives o = y + 40.\n4. Substitute y = m + 16 to o, which gives o = m + 56.\n5. Substitute m = e + 1 to o, which gives o = e + 57.\n6. Substitute e = 8 to o, which gives o = 65.\n\nThus, the final answer is o = \\boxed{65}.",
"index": 6715,
"question": "Suppose a collection of variables is related by the following definitions: i = y + 20; o = s + 7; g = f + 16; e = 8; v = q + 8; m = e + 1; y = m + 16; f = h + 10; s = k + 10; n = e + 4; h = v + 19; k = i + 3; q = n + 1. Given that e = 8, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"f": "p + 5", "i": "f + 19", "r": "i + 7", "k": "r + 10", "s": "k + 6", "a": "s + 8", "g": "p + 12", "c": "g + 17", "w": "c + 11", "t": "w + 4", "n": "t + 1", "d": "n + 3", "p": 5}, "premises": {"p": 5}, "target": "a"}, "answer": {"steps": [["s", "k + 6", "k + 14"], ["k", "r + 10", "r + 24"], ["r", "i + 7", "i + 31"], ["i", "f + 19", "f + 50"], ["f", "p + 5", "p + 55"], ["p", 5, "60"]], "target_var_name": "a", "target_value": 60, "value_dict": {"p": 5}, "is_reverse": true}} | 6,716 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = 5; n = t + 1; t = w + 4; a = s + 8; s = k + 6; f = p + 5; r = i + 7; c = g + 17; w = c + 11; i = f + 19; k = r + 10; d = n + 3; g = p + 12. Given that p = 5, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = k + 6 to a, which gives a = k + 14.\n2. Substitute k = r + 10 to a, which gives a = r + 24.\n3. Substitute r = i + 7 to a, which gives a = i + 31.\n4. Substitute i = f + 19 to a, which gives a = f + 50.\n5. Substitute f = p + 5 to a, which gives a = p + 55.\n6. Substitute p = 5 to a, which gives a = 60.\n\nThus, the final answer is a = \\boxed{60}.",
"index": 6716,
"question": "Suppose a collection of variables is related by the following definitions: p = 5; n = t + 1; t = w + 4; a = s + 8; s = k + 6; f = p + 5; r = i + 7; c = g + 17; w = c + 11; i = f + 19; k = r + 10; d = n + 3; g = p + 12. Given that p = 5, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"a": "g + 13", "j": "a + 10", "e": "j + 12", "s": "e + 5", "f": "s + 3", "z": "f + 2", "r": "g + 14", "u": "r + 1", "d": "u + 2", "l": "d + 20", "p": "l + 1", "q": "p + 20", "g": 13}, "premises": {"g": 13}, "target": "z"}, "answer": {"steps": [["f", "s + 3", "s + 5"], ["s", "e + 5", "e + 10"], ["e", "j + 12", "j + 22"], ["j", "a + 10", "a + 32"], ["a", "g + 13", "g + 45"], ["g", 13, "58"]], "target_var_name": "z", "target_value": 58, "value_dict": {"g": 13}, "is_reverse": true}} | 6,717 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = u + 2; q = p + 20; f = s + 3; e = j + 12; u = r + 1; z = f + 2; r = g + 14; g = 13; s = e + 5; p = l + 1; j = a + 10; l = d + 20; a = g + 13. Given that g = 13, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = s + 3 to z, which gives z = s + 5.\n2. Substitute s = e + 5 to z, which gives z = e + 10.\n3. Substitute e = j + 12 to z, which gives z = j + 22.\n4. Substitute j = a + 10 to z, which gives z = a + 32.\n5. Substitute a = g + 13 to z, which gives z = g + 45.\n6. Substitute g = 13 to z, which gives z = 58.\n\nThus, the final answer is z = \\boxed{58}.",
"index": 6717,
"question": "Suppose a collection of variables is related by the following definitions: d = u + 2; q = p + 20; f = s + 3; e = j + 12; u = r + 1; z = f + 2; r = g + 14; g = 13; s = e + 5; p = l + 1; j = a + 10; l = d + 20; a = g + 13. Given that g = 13, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"f": "c + 3", "q": "f + 7", "p": "q + 7", "w": "p + 17", "u": "w + 5", "e": "u + 9", "g": "c + 2", "s": "g + 17", "j": "s + 12", "b": "j + 10", "y": "b + 18", "k": "y + 10", "c": 1}, "premises": {"c": 1}, "target": "e"}, "answer": {"steps": [["u", "w + 5", "w + 14"], ["w", "p + 17", "p + 31"], ["p", "q + 7", "q + 38"], ["q", "f + 7", "f + 45"], ["f", "c + 3", "c + 48"], ["c", 1, "49"]], "target_var_name": "e", "target_value": 49, "value_dict": {"c": 1}, "is_reverse": true}} | 6,718 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = y + 10; b = j + 10; y = b + 18; f = c + 3; u = w + 5; q = f + 7; g = c + 2; c = 1; j = s + 12; s = g + 17; p = q + 7; e = u + 9; w = p + 17. Given that c = 1, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = w + 5 to e, which gives e = w + 14.\n2. Substitute w = p + 17 to e, which gives e = p + 31.\n3. Substitute p = q + 7 to e, which gives e = q + 38.\n4. Substitute q = f + 7 to e, which gives e = f + 45.\n5. Substitute f = c + 3 to e, which gives e = c + 48.\n6. Substitute c = 1 to e, which gives e = 49.\n\nThus, the final answer is e = \\boxed{49}.",
"index": 6718,
"question": "Suppose a collection of variables is related by the following definitions: k = y + 10; b = j + 10; y = b + 18; f = c + 3; u = w + 5; q = f + 7; g = c + 2; c = 1; j = s + 12; s = g + 17; p = q + 7; e = u + 9; w = p + 17. Given that c = 1, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"a": "n + 11", "b": "a + 20", "o": "b + 8", "d": "o + 16", "q": "d + 19", "v": "q + 6", "u": "n + 4", "r": "u + 8", "x": "r + 3", "m": "x + 7", "g": "m + 18", "h": "g + 16", "n": 18}, "premises": {"n": 18}, "target": "v"}, "answer": {"steps": [["q", "d + 19", "d + 25"], ["d", "o + 16", "o + 41"], ["o", "b + 8", "b + 49"], ["b", "a + 20", "a + 69"], ["a", "n + 11", "n + 80"], ["n", 18, "98"]], "target_var_name": "v", "target_value": 98, "value_dict": {"n": 18}, "is_reverse": true}} | 6,719 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = x + 7; v = q + 6; h = g + 16; r = u + 8; o = b + 8; d = o + 16; a = n + 11; u = n + 4; q = d + 19; n = 18; g = m + 18; x = r + 3; b = a + 20. Given that n = 18, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = d + 19 to v, which gives v = d + 25.\n2. Substitute d = o + 16 to v, which gives v = o + 41.\n3. Substitute o = b + 8 to v, which gives v = b + 49.\n4. Substitute b = a + 20 to v, which gives v = a + 69.\n5. Substitute a = n + 11 to v, which gives v = n + 80.\n6. Substitute n = 18 to v, which gives v = 98.\n\nThus, the final answer is v = \\boxed{98}.",
"index": 6719,
"question": "Suppose a collection of variables is related by the following definitions: m = x + 7; v = q + 6; h = g + 16; r = u + 8; o = b + 8; d = o + 16; a = n + 11; u = n + 4; q = d + 19; n = 18; g = m + 18; x = r + 3; b = a + 20. Given that n = 18, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"j": "y + 17", "o": "j + 19", "p": "o + 14", "a": "p + 4", "s": "a + 11", "l": "s + 16", "d": "y + 20", "z": "d + 9", "n": "z + 12", "b": "n + 18", "u": "b + 1", "c": "u + 6", "y": 5}, "premises": {"y": 5}, "target": "l"}, "answer": {"steps": [["s", "a + 11", "a + 27"], ["a", "p + 4", "p + 31"], ["p", "o + 14", "o + 45"], ["o", "j + 19", "j + 64"], ["j", "y + 17", "y + 81"], ["y", 5, "86"]], "target_var_name": "l", "target_value": 86, "value_dict": {"y": 5}, "is_reverse": true}} | 6,720 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = z + 12; u = b + 1; y = 5; b = n + 18; o = j + 19; l = s + 16; c = u + 6; p = o + 14; d = y + 20; j = y + 17; z = d + 9; s = a + 11; a = p + 4. If y = 5, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = a + 11 to l, which gives l = a + 27.\n2. Substitute a = p + 4 to l, which gives l = p + 31.\n3. Substitute p = o + 14 to l, which gives l = o + 45.\n4. Substitute o = j + 19 to l, which gives l = j + 64.\n5. Substitute j = y + 17 to l, which gives l = y + 81.\n6. Substitute y = 5 to l, which gives l = 86.\n\nThus, the final answer is l = \\boxed{86}.",
"index": 6720,
"question": "Consider a system of variables where each variable is defined as follows: n = z + 12; u = b + 1; y = 5; b = n + 18; o = j + 19; l = s + 16; c = u + 6; p = o + 14; d = y + 20; j = y + 17; z = d + 9; s = a + 11; a = p + 4. If y = 5, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"u": "n + 8", "f": "u + 3", "k": "f + 16", "d": "k + 4", "g": "d + 16", "l": "g + 8", "x": "n + 15", "w": "x + 20", "a": "w + 5", "i": "a + 20", "s": "i + 18", "z": "s + 20", "n": 12}, "premises": {"n": 12}, "target": "l"}, "answer": {"steps": [["g", "d + 16", "d + 24"], ["d", "k + 4", "k + 28"], ["k", "f + 16", "f + 44"], ["f", "u + 3", "u + 47"], ["u", "n + 8", "n + 55"], ["n", 12, "67"]], "target_var_name": "l", "target_value": 67, "value_dict": {"n": 12}, "is_reverse": true}} | 6,721 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = w + 5; u = n + 8; w = x + 20; k = f + 16; x = n + 15; n = 12; d = k + 4; i = a + 20; f = u + 3; s = i + 18; z = s + 20; g = d + 16; l = g + 8. Given that n = 12, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = d + 16 to l, which gives l = d + 24.\n2. Substitute d = k + 4 to l, which gives l = k + 28.\n3. Substitute k = f + 16 to l, which gives l = f + 44.\n4. Substitute f = u + 3 to l, which gives l = u + 47.\n5. Substitute u = n + 8 to l, which gives l = n + 55.\n6. Substitute n = 12 to l, which gives l = 67.\n\nThus, the final answer is l = \\boxed{67}.",
"index": 6721,
"question": "Suppose a collection of variables is related by the following definitions: a = w + 5; u = n + 8; w = x + 20; k = f + 16; x = n + 15; n = 12; d = k + 4; i = a + 20; f = u + 3; s = i + 18; z = s + 20; g = d + 16; l = g + 8. Given that n = 12, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"y": "f + 15", "q": "y + 17", "k": "q + 18", "t": "k + 18", "i": "t + 8", "e": "i + 7", "z": "f + 9", "a": "z + 13", "u": "a + 14", "j": "u + 10", "s": "j + 9", "h": "s + 6", "f": 17}, "premises": {"f": 17}, "target": "e"}, "answer": {"steps": [["i", "t + 8", "t + 15"], ["t", "k + 18", "k + 33"], ["k", "q + 18", "q + 51"], ["q", "y + 17", "y + 68"], ["y", "f + 15", "f + 83"], ["f", 17, "100"]], "target_var_name": "e", "target_value": 100, "value_dict": {"f": 17}, "is_reverse": true}} | 6,722 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = t + 8; y = f + 15; s = j + 9; h = s + 6; z = f + 9; u = a + 14; t = k + 18; f = 17; q = y + 17; j = u + 10; a = z + 13; e = i + 7; k = q + 18. If f = 17, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = t + 8 to e, which gives e = t + 15.\n2. Substitute t = k + 18 to e, which gives e = k + 33.\n3. Substitute k = q + 18 to e, which gives e = q + 51.\n4. Substitute q = y + 17 to e, which gives e = y + 68.\n5. Substitute y = f + 15 to e, which gives e = f + 83.\n6. Substitute f = 17 to e, which gives e = 100.\n\nThus, the final answer is e = \\boxed{100}.",
"index": 6722,
"question": "Consider a system of variables where each variable is defined as follows: i = t + 8; y = f + 15; s = j + 9; h = s + 6; z = f + 9; u = a + 14; t = k + 18; f = 17; q = y + 17; j = u + 10; a = z + 13; e = i + 7; k = q + 18. If f = 17, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"p": "e + 5", "u": "p + 20", "z": "u + 18", "c": "z + 7", "n": "c + 10", "h": "n + 3", "v": "e + 14", "r": "v + 18", "t": "r + 9", "j": "t + 6", "l": "j + 18", "f": "l + 7", "e": 3}, "premises": {"e": 3}, "target": "h"}, "answer": {"steps": [["n", "c + 10", "c + 13"], ["c", "z + 7", "z + 20"], ["z", "u + 18", "u + 38"], ["u", "p + 20", "p + 58"], ["p", "e + 5", "e + 63"], ["e", 3, "66"]], "target_var_name": "h", "target_value": 66, "value_dict": {"e": 3}, "is_reverse": true}} | 6,723 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = p + 20; n = c + 10; z = u + 18; v = e + 14; h = n + 3; e = 3; r = v + 18; t = r + 9; f = l + 7; p = e + 5; l = j + 18; c = z + 7; j = t + 6. If e = 3, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = c + 10 to h, which gives h = c + 13.\n2. Substitute c = z + 7 to h, which gives h = z + 20.\n3. Substitute z = u + 18 to h, which gives h = u + 38.\n4. Substitute u = p + 20 to h, which gives h = p + 58.\n5. Substitute p = e + 5 to h, which gives h = e + 63.\n6. Substitute e = 3 to h, which gives h = 66.\n\nThus, the final answer is h = \\boxed{66}.",
"index": 6723,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = p + 20; n = c + 10; z = u + 18; v = e + 14; h = n + 3; e = 3; r = v + 18; t = r + 9; f = l + 7; p = e + 5; l = j + 18; c = z + 7; j = t + 6. If e = 3, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"i": "m + 11", "h": "i + 6", "a": "h + 16", "c": "a + 5", "o": "c + 11", "v": "o + 17", "x": "m + 17", "e": "x + 1", "r": "e + 15", "n": "r + 13", "y": "n + 19", "g": "y + 7", "m": 2}, "premises": {"m": 2}, "target": "v"}, "answer": {"steps": [["o", "c + 11", "c + 28"], ["c", "a + 5", "a + 33"], ["a", "h + 16", "h + 49"], ["h", "i + 6", "i + 55"], ["i", "m + 11", "m + 66"], ["m", 2, "68"]], "target_var_name": "v", "target_value": 68, "value_dict": {"m": 2}, "is_reverse": true}} | 6,724 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = i + 6; c = a + 5; i = m + 11; v = o + 17; o = c + 11; x = m + 17; r = e + 15; g = y + 7; y = n + 19; e = x + 1; n = r + 13; m = 2; a = h + 16. If m = 2, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = c + 11 to v, which gives v = c + 28.\n2. Substitute c = a + 5 to v, which gives v = a + 33.\n3. Substitute a = h + 16 to v, which gives v = h + 49.\n4. Substitute h = i + 6 to v, which gives v = i + 55.\n5. Substitute i = m + 11 to v, which gives v = m + 66.\n6. Substitute m = 2 to v, which gives v = 68.\n\nThus, the final answer is v = \\boxed{68}.",
"index": 6724,
"question": "Consider a system of variables where each variable is defined as follows: h = i + 6; c = a + 5; i = m + 11; v = o + 17; o = c + 11; x = m + 17; r = e + 15; g = y + 7; y = n + 19; e = x + 1; n = r + 13; m = 2; a = h + 16. If m = 2, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"f": "g + 3", "j": "f + 20", "b": "j + 5", "l": "b + 9", "d": "l + 15", "c": "d + 12", "v": "g + 11", "s": "v + 14", "z": "s + 1", "o": "z + 1", "t": "o + 17", "a": "t + 16", "g": 15}, "premises": {"g": 15}, "target": "c"}, "answer": {"steps": [["d", "l + 15", "l + 27"], ["l", "b + 9", "b + 36"], ["b", "j + 5", "j + 41"], ["j", "f + 20", "f + 61"], ["f", "g + 3", "g + 64"], ["g", 15, "79"]], "target_var_name": "c", "target_value": 79, "value_dict": {"g": 15}, "is_reverse": true}} | 6,725 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = g + 3; o = z + 1; g = 15; s = v + 14; d = l + 15; c = d + 12; j = f + 20; v = g + 11; l = b + 9; t = o + 17; a = t + 16; b = j + 5; z = s + 1. Given that g = 15, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = l + 15 to c, which gives c = l + 27.\n2. Substitute l = b + 9 to c, which gives c = b + 36.\n3. Substitute b = j + 5 to c, which gives c = j + 41.\n4. Substitute j = f + 20 to c, which gives c = f + 61.\n5. Substitute f = g + 3 to c, which gives c = g + 64.\n6. Substitute g = 15 to c, which gives c = 79.\n\nThus, the final answer is c = \\boxed{79}.",
"index": 6725,
"question": "Suppose a collection of variables is related by the following definitions: f = g + 3; o = z + 1; g = 15; s = v + 14; d = l + 15; c = d + 12; j = f + 20; v = g + 11; l = b + 9; t = o + 17; a = t + 16; b = j + 5; z = s + 1. Given that g = 15, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"k": "h + 5", "d": "k + 10", "t": "d + 16", "z": "t + 12", "n": "z + 18", "w": "n + 20", "c": "h + 7", "o": "c + 2", "l": "o + 17", "a": "l + 11", "v": "a + 5", "f": "v + 5", "h": 12}, "premises": {"h": 12}, "target": "w"}, "answer": {"steps": [["n", "z + 18", "z + 38"], ["z", "t + 12", "t + 50"], ["t", "d + 16", "d + 66"], ["d", "k + 10", "k + 76"], ["k", "h + 5", "h + 81"], ["h", 12, "93"]], "target_var_name": "w", "target_value": 93, "value_dict": {"h": 12}, "is_reverse": true}} | 6,726 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = t + 12; a = l + 11; t = d + 16; n = z + 18; d = k + 10; l = o + 17; h = 12; f = v + 5; w = n + 20; v = a + 5; k = h + 5; o = c + 2; c = h + 7. If h = 12, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = z + 18 to w, which gives w = z + 38.\n2. Substitute z = t + 12 to w, which gives w = t + 50.\n3. Substitute t = d + 16 to w, which gives w = d + 66.\n4. Substitute d = k + 10 to w, which gives w = k + 76.\n5. Substitute k = h + 5 to w, which gives w = h + 81.\n6. Substitute h = 12 to w, which gives w = 93.\n\nThus, the final answer is w = \\boxed{93}.",
"index": 6726,
"question": "Consider a system of variables where each variable is defined as follows: z = t + 12; a = l + 11; t = d + 16; n = z + 18; d = k + 10; l = o + 17; h = 12; f = v + 5; w = n + 20; v = a + 5; k = h + 5; o = c + 2; c = h + 7. If h = 12, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"f": "m + 1", "s": "f + 5", "v": "s + 17", "q": "v + 8", "d": "q + 16", "h": "d + 11", "p": "m + 4", "k": "p + 8", "n": "k + 16", "j": "n + 4", "a": "j + 5", "i": "a + 10", "m": 13}, "premises": {"m": 13}, "target": "h"}, "answer": {"steps": [["d", "q + 16", "q + 27"], ["q", "v + 8", "v + 35"], ["v", "s + 17", "s + 52"], ["s", "f + 5", "f + 57"], ["f", "m + 1", "m + 58"], ["m", 13, "71"]], "target_var_name": "h", "target_value": 71, "value_dict": {"m": 13}, "is_reverse": true}} | 6,727 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = k + 16; m = 13; q = v + 8; p = m + 4; j = n + 4; k = p + 8; v = s + 17; h = d + 11; f = m + 1; a = j + 5; i = a + 10; d = q + 16; s = f + 5. If m = 13, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = q + 16 to h, which gives h = q + 27.\n2. Substitute q = v + 8 to h, which gives h = v + 35.\n3. Substitute v = s + 17 to h, which gives h = s + 52.\n4. Substitute s = f + 5 to h, which gives h = f + 57.\n5. Substitute f = m + 1 to h, which gives h = m + 58.\n6. Substitute m = 13 to h, which gives h = 71.\n\nThus, the final answer is h = \\boxed{71}.",
"index": 6727,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = k + 16; m = 13; q = v + 8; p = m + 4; j = n + 4; k = p + 8; v = s + 17; h = d + 11; f = m + 1; a = j + 5; i = a + 10; d = q + 16; s = f + 5. If m = 13, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"h": "w + 10", "m": "h + 13", "n": "m + 7", "e": "n + 11", "f": "e + 4", "k": "f + 8", "l": "w + 11", "j": "l + 4", "p": "j + 6", "v": "p + 2", "q": "v + 17", "s": "q + 5", "w": 15}, "premises": {"w": 15}, "target": "k"}, "answer": {"steps": [["f", "e + 4", "e + 12"], ["e", "n + 11", "n + 23"], ["n", "m + 7", "m + 30"], ["m", "h + 13", "h + 43"], ["h", "w + 10", "w + 53"], ["w", 15, "68"]], "target_var_name": "k", "target_value": 68, "value_dict": {"w": 15}, "is_reverse": true}} | 6,728 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = w + 11; j = l + 4; h = w + 10; q = v + 17; w = 15; n = m + 7; s = q + 5; m = h + 13; e = n + 11; f = e + 4; v = p + 2; k = f + 8; p = j + 6. If w = 15, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = e + 4 to k, which gives k = e + 12.\n2. Substitute e = n + 11 to k, which gives k = n + 23.\n3. Substitute n = m + 7 to k, which gives k = m + 30.\n4. Substitute m = h + 13 to k, which gives k = h + 43.\n5. Substitute h = w + 10 to k, which gives k = w + 53.\n6. Substitute w = 15 to k, which gives k = 68.\n\nThus, the final answer is k = \\boxed{68}.",
"index": 6728,
"question": "Consider a system of variables where each variable is defined as follows: l = w + 11; j = l + 4; h = w + 10; q = v + 17; w = 15; n = m + 7; s = q + 5; m = h + 13; e = n + 11; f = e + 4; v = p + 2; k = f + 8; p = j + 6. If w = 15, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"u": "k + 6", "f": "u + 2", "q": "f + 7", "s": "q + 15", "w": "s + 19", "o": "w + 16", "v": "k + 15", "a": "v + 20", "i": "a + 8", "n": "i + 16", "r": "n + 4", "c": "r + 10", "k": 14}, "premises": {"k": 14}, "target": "o"}, "answer": {"steps": [["w", "s + 19", "s + 35"], ["s", "q + 15", "q + 50"], ["q", "f + 7", "f + 57"], ["f", "u + 2", "u + 59"], ["u", "k + 6", "k + 65"], ["k", 14, "79"]], "target_var_name": "o", "target_value": 79, "value_dict": {"k": 14}, "is_reverse": true}} | 6,729 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = k + 15; q = f + 7; i = a + 8; f = u + 2; n = i + 16; a = v + 20; k = 14; c = r + 10; o = w + 16; w = s + 19; u = k + 6; r = n + 4; s = q + 15. Given that k = 14, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = s + 19 to o, which gives o = s + 35.\n2. Substitute s = q + 15 to o, which gives o = q + 50.\n3. Substitute q = f + 7 to o, which gives o = f + 57.\n4. Substitute f = u + 2 to o, which gives o = u + 59.\n5. Substitute u = k + 6 to o, which gives o = k + 65.\n6. Substitute k = 14 to o, which gives o = 79.\n\nThus, the final answer is o = \\boxed{79}.",
"index": 6729,
"question": "Suppose a collection of variables is related by the following definitions: v = k + 15; q = f + 7; i = a + 8; f = u + 2; n = i + 16; a = v + 20; k = 14; c = r + 10; o = w + 16; w = s + 19; u = k + 6; r = n + 4; s = q + 15. Given that k = 14, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"l": "v + 15", "f": "l + 11", "g": "f + 6", "u": "g + 4", "e": "u + 13", "a": "e + 4", "j": "v + 7", "t": "j + 17", "n": "t + 17", "y": "n + 8", "q": "y + 15", "w": "q + 3", "v": 18}, "premises": {"v": 18}, "target": "a"}, "answer": {"steps": [["e", "u + 13", "u + 17"], ["u", "g + 4", "g + 21"], ["g", "f + 6", "f + 27"], ["f", "l + 11", "l + 38"], ["l", "v + 15", "v + 53"], ["v", 18, "71"]], "target_var_name": "a", "target_value": 71, "value_dict": {"v": 18}, "is_reverse": true}} | 6,730 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = t + 17; f = l + 11; w = q + 3; v = 18; y = n + 8; g = f + 6; e = u + 13; t = j + 17; u = g + 4; a = e + 4; q = y + 15; j = v + 7; l = v + 15. Given that v = 18, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = u + 13 to a, which gives a = u + 17.\n2. Substitute u = g + 4 to a, which gives a = g + 21.\n3. Substitute g = f + 6 to a, which gives a = f + 27.\n4. Substitute f = l + 11 to a, which gives a = l + 38.\n5. Substitute l = v + 15 to a, which gives a = v + 53.\n6. Substitute v = 18 to a, which gives a = 71.\n\nThus, the final answer is a = \\boxed{71}.",
"index": 6730,
"question": "Suppose a collection of variables is related by the following definitions: n = t + 17; f = l + 11; w = q + 3; v = 18; y = n + 8; g = f + 6; e = u + 13; t = j + 17; u = g + 4; a = e + 4; q = y + 15; j = v + 7; l = v + 15. Given that v = 18, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"s": "u + 18", "o": "s + 13", "j": "o + 10", "v": "j + 9", "e": "v + 19", "y": "e + 12", "h": "u + 1", "i": "h + 7", "b": "i + 3", "q": "b + 12", "f": "q + 3", "c": "f + 19", "u": 13}, "premises": {"u": 13}, "target": "y"}, "answer": {"steps": [["e", "v + 19", "v + 31"], ["v", "j + 9", "j + 40"], ["j", "o + 10", "o + 50"], ["o", "s + 13", "s + 63"], ["s", "u + 18", "u + 81"], ["u", 13, "94"]], "target_var_name": "y", "target_value": 94, "value_dict": {"u": 13}, "is_reverse": true}} | 6,731 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = b + 12; j = o + 10; b = i + 3; i = h + 7; v = j + 9; y = e + 12; f = q + 3; s = u + 18; o = s + 13; h = u + 1; c = f + 19; e = v + 19; u = 13. If u = 13, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = v + 19 to y, which gives y = v + 31.\n2. Substitute v = j + 9 to y, which gives y = j + 40.\n3. Substitute j = o + 10 to y, which gives y = o + 50.\n4. Substitute o = s + 13 to y, which gives y = s + 63.\n5. Substitute s = u + 18 to y, which gives y = u + 81.\n6. Substitute u = 13 to y, which gives y = 94.\n\nThus, the final answer is y = \\boxed{94}.",
"index": 6731,
"question": "Consider a system of variables where each variable is defined as follows: q = b + 12; j = o + 10; b = i + 3; i = h + 7; v = j + 9; y = e + 12; f = q + 3; s = u + 18; o = s + 13; h = u + 1; c = f + 19; e = v + 19; u = 13. If u = 13, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"d": "h + 1", "s": "d + 18", "o": "s + 10", "f": "o + 15", "w": "f + 3", "y": "w + 1", "j": "h + 12", "q": "j + 7", "l": "q + 2", "v": "l + 16", "m": "v + 8", "a": "m + 8", "h": 8}, "premises": {"h": 8}, "target": "y"}, "answer": {"steps": [["w", "f + 3", "f + 4"], ["f", "o + 15", "o + 19"], ["o", "s + 10", "s + 29"], ["s", "d + 18", "d + 47"], ["d", "h + 1", "h + 48"], ["h", 8, "56"]], "target_var_name": "y", "target_value": 56, "value_dict": {"h": 8}, "is_reverse": true}} | 6,732 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = 8; j = h + 12; y = w + 1; a = m + 8; l = q + 2; v = l + 16; o = s + 10; q = j + 7; m = v + 8; s = d + 18; w = f + 3; f = o + 15; d = h + 1. If h = 8, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = f + 3 to y, which gives y = f + 4.\n2. Substitute f = o + 15 to y, which gives y = o + 19.\n3. Substitute o = s + 10 to y, which gives y = s + 29.\n4. Substitute s = d + 18 to y, which gives y = d + 47.\n5. Substitute d = h + 1 to y, which gives y = h + 48.\n6. Substitute h = 8 to y, which gives y = 56.\n\nThus, the final answer is y = \\boxed{56}.",
"index": 6732,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = 8; j = h + 12; y = w + 1; a = m + 8; l = q + 2; v = l + 16; o = s + 10; q = j + 7; m = v + 8; s = d + 18; w = f + 3; f = o + 15; d = h + 1. If h = 8, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"x": "w + 1", "d": "x + 4", "g": "d + 20", "y": "g + 1", "s": "y + 13", "o": "s + 10", "j": "w + 14", "a": "j + 5", "c": "a + 10", "h": "c + 3", "q": "h + 16", "b": "q + 8", "w": 6}, "premises": {"w": 6}, "target": "o"}, "answer": {"steps": [["s", "y + 13", "y + 23"], ["y", "g + 1", "g + 24"], ["g", "d + 20", "d + 44"], ["d", "x + 4", "x + 48"], ["x", "w + 1", "w + 49"], ["w", 6, "55"]], "target_var_name": "o", "target_value": 55, "value_dict": {"w": 6}, "is_reverse": true}} | 6,733 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = 6; q = h + 16; g = d + 20; d = x + 4; s = y + 13; x = w + 1; c = a + 10; b = q + 8; j = w + 14; a = j + 5; h = c + 3; o = s + 10; y = g + 1. If w = 6, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = y + 13 to o, which gives o = y + 23.\n2. Substitute y = g + 1 to o, which gives o = g + 24.\n3. Substitute g = d + 20 to o, which gives o = d + 44.\n4. Substitute d = x + 4 to o, which gives o = x + 48.\n5. Substitute x = w + 1 to o, which gives o = w + 49.\n6. Substitute w = 6 to o, which gives o = 55.\n\nThus, the final answer is o = \\boxed{55}.",
"index": 6733,
"question": "Consider a system of variables where each variable is defined as follows: w = 6; q = h + 16; g = d + 20; d = x + 4; s = y + 13; x = w + 1; c = a + 10; b = q + 8; j = w + 14; a = j + 5; h = c + 3; o = s + 10; y = g + 1. If w = 6, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"w": "c + 11", "j": "w + 2", "h": "j + 11", "u": "h + 16", "i": "u + 7", "f": "i + 3", "o": "c + 9", "v": "o + 1", "l": "v + 11", "b": "l + 13", "y": "b + 18", "e": "y + 8", "c": 18}, "premises": {"c": 18}, "target": "f"}, "answer": {"steps": [["i", "u + 7", "u + 10"], ["u", "h + 16", "h + 26"], ["h", "j + 11", "j + 37"], ["j", "w + 2", "w + 39"], ["w", "c + 11", "c + 50"], ["c", 18, "68"]], "target_var_name": "f", "target_value": 68, "value_dict": {"c": 18}, "is_reverse": true}} | 6,734 | 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 = l + 13; i = u + 7; v = o + 1; c = 18; y = b + 18; u = h + 16; l = v + 11; j = w + 2; e = y + 8; o = c + 9; f = i + 3; w = c + 11; h = j + 11. If c = 18, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = u + 7 to f, which gives f = u + 10.\n2. Substitute u = h + 16 to f, which gives f = h + 26.\n3. Substitute h = j + 11 to f, which gives f = j + 37.\n4. Substitute j = w + 2 to f, which gives f = w + 39.\n5. Substitute w = c + 11 to f, which gives f = c + 50.\n6. Substitute c = 18 to f, which gives f = 68.\n\nThus, the final answer is f = \\boxed{68}.",
"index": 6734,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = l + 13; i = u + 7; v = o + 1; c = 18; y = b + 18; u = h + 16; l = v + 11; j = w + 2; e = y + 8; o = c + 9; f = i + 3; w = c + 11; h = j + 11. If c = 18, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"q": "g + 5", "l": "q + 15", "s": "l + 7", "c": "s + 4", "p": "c + 6", "u": "p + 17", "e": "g + 15", "i": "e + 6", "w": "i + 19", "z": "w + 20", "r": "z + 18", "a": "r + 3", "g": 20}, "premises": {"g": 20}, "target": "u"}, "answer": {"steps": [["p", "c + 6", "c + 23"], ["c", "s + 4", "s + 27"], ["s", "l + 7", "l + 34"], ["l", "q + 15", "q + 49"], ["q", "g + 5", "g + 54"], ["g", 20, "74"]], "target_var_name": "u", "target_value": 74, "value_dict": {"g": 20}, "is_reverse": true}} | 6,735 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = l + 7; c = s + 4; l = q + 15; u = p + 17; w = i + 19; p = c + 6; e = g + 15; r = z + 18; i = e + 6; g = 20; z = w + 20; q = g + 5; a = r + 3. If g = 20, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = c + 6 to u, which gives u = c + 23.\n2. Substitute c = s + 4 to u, which gives u = s + 27.\n3. Substitute s = l + 7 to u, which gives u = l + 34.\n4. Substitute l = q + 15 to u, which gives u = q + 49.\n5. Substitute q = g + 5 to u, which gives u = g + 54.\n6. Substitute g = 20 to u, which gives u = 74.\n\nThus, the final answer is u = \\boxed{74}.",
"index": 6735,
"question": "Consider a system of variables where each variable is defined as follows: s = l + 7; c = s + 4; l = q + 15; u = p + 17; w = i + 19; p = c + 6; e = g + 15; r = z + 18; i = e + 6; g = 20; z = w + 20; q = g + 5; a = r + 3. If g = 20, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"l": "t + 15", "i": "l + 6", "w": "i + 8", "u": "w + 12", "v": "u + 14", "g": "v + 9", "e": "t + 6", "q": "e + 2", "k": "q + 15", "j": "k + 10", "r": "j + 16", "y": "r + 17", "t": 17}, "premises": {"t": 17}, "target": "g"}, "answer": {"steps": [["v", "u + 14", "u + 23"], ["u", "w + 12", "w + 35"], ["w", "i + 8", "i + 43"], ["i", "l + 6", "l + 49"], ["l", "t + 15", "t + 64"], ["t", 17, "81"]], "target_var_name": "g", "target_value": 81, "value_dict": {"t": 17}, "is_reverse": true}} | 6,736 | 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 = v + 9; j = k + 10; t = 17; q = e + 2; i = l + 6; l = t + 15; y = r + 17; k = q + 15; v = u + 14; r = j + 16; u = w + 12; w = i + 8; e = t + 6. If t = 17, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = u + 14 to g, which gives g = u + 23.\n2. Substitute u = w + 12 to g, which gives g = w + 35.\n3. Substitute w = i + 8 to g, which gives g = i + 43.\n4. Substitute i = l + 6 to g, which gives g = l + 49.\n5. Substitute l = t + 15 to g, which gives g = t + 64.\n6. Substitute t = 17 to g, which gives g = 81.\n\nThus, the final answer is g = \\boxed{81}.",
"index": 6736,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = v + 9; j = k + 10; t = 17; q = e + 2; i = l + 6; l = t + 15; y = r + 17; k = q + 15; v = u + 14; r = j + 16; u = w + 12; w = i + 8; e = t + 6. If t = 17, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"c": "e + 1", "x": "c + 7", "l": "x + 12", "f": "l + 5", "b": "f + 2", "d": "b + 3", "z": "e + 15", "h": "z + 2", "g": "h + 11", "o": "g + 14", "q": "o + 11", "a": "q + 7", "e": 20}, "premises": {"e": 20}, "target": "d"}, "answer": {"steps": [["b", "f + 2", "f + 5"], ["f", "l + 5", "l + 10"], ["l", "x + 12", "x + 22"], ["x", "c + 7", "c + 29"], ["c", "e + 1", "e + 30"], ["e", 20, "50"]], "target_var_name": "d", "target_value": 50, "value_dict": {"e": 20}, "is_reverse": true}} | 6,737 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = c + 7; q = o + 11; o = g + 14; a = q + 7; h = z + 2; g = h + 11; c = e + 1; f = l + 5; d = b + 3; b = f + 2; e = 20; z = e + 15; l = x + 12. If e = 20, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = f + 2 to d, which gives d = f + 5.\n2. Substitute f = l + 5 to d, which gives d = l + 10.\n3. Substitute l = x + 12 to d, which gives d = x + 22.\n4. Substitute x = c + 7 to d, which gives d = c + 29.\n5. Substitute c = e + 1 to d, which gives d = e + 30.\n6. Substitute e = 20 to d, which gives d = 50.\n\nThus, the final answer is d = \\boxed{50}.",
"index": 6737,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = c + 7; q = o + 11; o = g + 14; a = q + 7; h = z + 2; g = h + 11; c = e + 1; f = l + 5; d = b + 3; b = f + 2; e = 20; z = e + 15; l = x + 12. If e = 20, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"h": "d + 1", "x": "h + 6", "q": "x + 18", "y": "q + 7", "e": "y + 15", "s": "e + 6", "p": "d + 1", "t": "p + 2", "n": "t + 3", "r": "n + 17", "k": "r + 12", "o": "k + 9", "d": 12}, "premises": {"d": 12}, "target": "s"}, "answer": {"steps": [["e", "y + 15", "y + 21"], ["y", "q + 7", "q + 28"], ["q", "x + 18", "x + 46"], ["x", "h + 6", "h + 52"], ["h", "d + 1", "d + 53"], ["d", 12, "65"]], "target_var_name": "s", "target_value": 65, "value_dict": {"d": 12}, "is_reverse": true}} | 6,738 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = y + 15; y = q + 7; d = 12; n = t + 3; o = k + 9; x = h + 6; k = r + 12; t = p + 2; s = e + 6; q = x + 18; r = n + 17; p = d + 1; h = d + 1. If d = 12, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = y + 15 to s, which gives s = y + 21.\n2. Substitute y = q + 7 to s, which gives s = q + 28.\n3. Substitute q = x + 18 to s, which gives s = x + 46.\n4. Substitute x = h + 6 to s, which gives s = h + 52.\n5. Substitute h = d + 1 to s, which gives s = d + 53.\n6. Substitute d = 12 to s, which gives s = 65.\n\nThus, the final answer is s = \\boxed{65}.",
"index": 6738,
"question": "Consider a system of variables where each variable is defined as follows: e = y + 15; y = q + 7; d = 12; n = t + 3; o = k + 9; x = h + 6; k = r + 12; t = p + 2; s = e + 6; q = x + 18; r = n + 17; p = d + 1; h = d + 1. If d = 12, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"m": "a + 4", "o": "m + 20", "l": "o + 2", "k": "l + 20", "e": "k + 12", "y": "e + 9", "v": "a + 6", "d": "v + 5", "f": "d + 6", "i": "f + 18", "n": "i + 1", "r": "n + 19", "a": 9}, "premises": {"a": 9}, "target": "y"}, "answer": {"steps": [["e", "k + 12", "k + 21"], ["k", "l + 20", "l + 41"], ["l", "o + 2", "o + 43"], ["o", "m + 20", "m + 63"], ["m", "a + 4", "a + 67"], ["a", 9, "76"]], "target_var_name": "y", "target_value": 76, "value_dict": {"a": 9}, "is_reverse": true}} | 6,739 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = f + 18; v = a + 6; y = e + 9; l = o + 2; e = k + 12; n = i + 1; d = v + 5; k = l + 20; a = 9; r = n + 19; o = m + 20; f = d + 6; m = a + 4. If a = 9, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = k + 12 to y, which gives y = k + 21.\n2. Substitute k = l + 20 to y, which gives y = l + 41.\n3. Substitute l = o + 2 to y, which gives y = o + 43.\n4. Substitute o = m + 20 to y, which gives y = m + 63.\n5. Substitute m = a + 4 to y, which gives y = a + 67.\n6. Substitute a = 9 to y, which gives y = 76.\n\nThus, the final answer is y = \\boxed{76}.",
"index": 6739,
"question": "Consider a system of variables where each variable is defined as follows: i = f + 18; v = a + 6; y = e + 9; l = o + 2; e = k + 12; n = i + 1; d = v + 5; k = l + 20; a = 9; r = n + 19; o = m + 20; f = d + 6; m = a + 4. If a = 9, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"k": "i + 2", "f": "k + 12", "c": "f + 12", "d": "c + 17", "r": "d + 15", "q": "r + 18", "s": "i + 14", "w": "s + 8", "x": "w + 2", "p": "x + 13", "l": "p + 12", "t": "l + 5", "i": 10}, "premises": {"i": 10}, "target": "q"}, "answer": {"steps": [["r", "d + 15", "d + 33"], ["d", "c + 17", "c + 50"], ["c", "f + 12", "f + 62"], ["f", "k + 12", "k + 74"], ["k", "i + 2", "i + 76"], ["i", 10, "86"]], "target_var_name": "q", "target_value": 86, "value_dict": {"i": 10}, "is_reverse": true}} | 6,740 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = k + 12; x = w + 2; t = l + 5; w = s + 8; c = f + 12; p = x + 13; l = p + 12; k = i + 2; i = 10; s = i + 14; d = c + 17; r = d + 15; q = r + 18. If i = 10, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = d + 15 to q, which gives q = d + 33.\n2. Substitute d = c + 17 to q, which gives q = c + 50.\n3. Substitute c = f + 12 to q, which gives q = f + 62.\n4. Substitute f = k + 12 to q, which gives q = k + 74.\n5. Substitute k = i + 2 to q, which gives q = i + 76.\n6. Substitute i = 10 to q, which gives q = 86.\n\nThus, the final answer is q = \\boxed{86}.",
"index": 6740,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = k + 12; x = w + 2; t = l + 5; w = s + 8; c = f + 12; p = x + 13; l = p + 12; k = i + 2; i = 10; s = i + 14; d = c + 17; r = d + 15; q = r + 18. If i = 10, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"q": "v + 17", "l": "q + 16", "s": "l + 11", "n": "s + 4", "z": "n + 14", "r": "z + 17", "k": "v + 14", "o": "k + 8", "h": "o + 19", "g": "h + 2", "a": "g + 11", "m": "a + 1", "v": 15}, "premises": {"v": 15}, "target": "r"}, "answer": {"steps": [["z", "n + 14", "n + 31"], ["n", "s + 4", "s + 35"], ["s", "l + 11", "l + 46"], ["l", "q + 16", "q + 62"], ["q", "v + 17", "v + 79"], ["v", 15, "94"]], "target_var_name": "r", "target_value": 94, "value_dict": {"v": 15}, "is_reverse": true}} | 6,741 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = s + 4; g = h + 2; r = z + 17; a = g + 11; k = v + 14; z = n + 14; m = a + 1; s = l + 11; v = 15; l = q + 16; o = k + 8; h = o + 19; q = v + 17. If v = 15, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = n + 14 to r, which gives r = n + 31.\n2. Substitute n = s + 4 to r, which gives r = s + 35.\n3. Substitute s = l + 11 to r, which gives r = l + 46.\n4. Substitute l = q + 16 to r, which gives r = q + 62.\n5. Substitute q = v + 17 to r, which gives r = v + 79.\n6. Substitute v = 15 to r, which gives r = 94.\n\nThus, the final answer is r = \\boxed{94}.",
"index": 6741,
"question": "Consider a system of variables where each variable is defined as follows: n = s + 4; g = h + 2; r = z + 17; a = g + 11; k = v + 14; z = n + 14; m = a + 1; s = l + 11; v = 15; l = q + 16; o = k + 8; h = o + 19; q = v + 17. If v = 15, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"n": "t + 8", "f": "n + 19", "r": "f + 13", "o": "r + 7", "l": "o + 3", "g": "l + 6", "b": "t + 9", "a": "b + 18", "q": "a + 3", "v": "q + 10", "u": "v + 17", "h": "u + 20", "t": 20}, "premises": {"t": 20}, "target": "g"}, "answer": {"steps": [["l", "o + 3", "o + 9"], ["o", "r + 7", "r + 16"], ["r", "f + 13", "f + 29"], ["f", "n + 19", "n + 48"], ["n", "t + 8", "t + 56"], ["t", 20, "76"]], "target_var_name": "g", "target_value": 76, "value_dict": {"t": 20}, "is_reverse": true}} | 6,742 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = r + 7; q = a + 3; a = b + 18; l = o + 3; u = v + 17; h = u + 20; r = f + 13; t = 20; b = t + 9; g = l + 6; f = n + 19; n = t + 8; v = q + 10. Given that t = 20, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = o + 3 to g, which gives g = o + 9.\n2. Substitute o = r + 7 to g, which gives g = r + 16.\n3. Substitute r = f + 13 to g, which gives g = f + 29.\n4. Substitute f = n + 19 to g, which gives g = n + 48.\n5. Substitute n = t + 8 to g, which gives g = t + 56.\n6. Substitute t = 20 to g, which gives g = 76.\n\nThus, the final answer is g = \\boxed{76}.",
"index": 6742,
"question": "Suppose a collection of variables is related by the following definitions: o = r + 7; q = a + 3; a = b + 18; l = o + 3; u = v + 17; h = u + 20; r = f + 13; t = 20; b = t + 9; g = l + 6; f = n + 19; n = t + 8; v = q + 10. Given that t = 20, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"p": "y + 10", "d": "p + 12", "n": "d + 4", "g": "n + 4", "f": "g + 14", "l": "f + 14", "v": "y + 4", "x": "v + 9", "j": "x + 14", "z": "j + 8", "o": "z + 10", "u": "o + 18", "y": 9}, "premises": {"y": 9}, "target": "l"}, "answer": {"steps": [["f", "g + 14", "g + 28"], ["g", "n + 4", "n + 32"], ["n", "d + 4", "d + 36"], ["d", "p + 12", "p + 48"], ["p", "y + 10", "y + 58"], ["y", 9, "67"]], "target_var_name": "l", "target_value": 67, "value_dict": {"y": 9}, "is_reverse": true}} | 6,743 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = j + 8; f = g + 14; y = 9; p = y + 10; j = x + 14; l = f + 14; v = y + 4; n = d + 4; u = o + 18; g = n + 4; o = z + 10; x = v + 9; d = p + 12. If y = 9, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = g + 14 to l, which gives l = g + 28.\n2. Substitute g = n + 4 to l, which gives l = n + 32.\n3. Substitute n = d + 4 to l, which gives l = d + 36.\n4. Substitute d = p + 12 to l, which gives l = p + 48.\n5. Substitute p = y + 10 to l, which gives l = y + 58.\n6. Substitute y = 9 to l, which gives l = 67.\n\nThus, the final answer is l = \\boxed{67}.",
"index": 6743,
"question": "Consider a system of variables where each variable is defined as follows: z = j + 8; f = g + 14; y = 9; p = y + 10; j = x + 14; l = f + 14; v = y + 4; n = d + 4; u = o + 18; g = n + 4; o = z + 10; x = v + 9; d = p + 12. If y = 9, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"n": "b + 2", "o": "n + 20", "l": "o + 8", "w": "l + 2", "s": "w + 7", "t": "s + 5", "j": "b + 14", "e": "j + 14", "p": "e + 20", "r": "p + 13", "g": "r + 16", "k": "g + 2", "b": 2}, "premises": {"b": 2}, "target": "t"}, "answer": {"steps": [["s", "w + 7", "w + 12"], ["w", "l + 2", "l + 14"], ["l", "o + 8", "o + 22"], ["o", "n + 20", "n + 42"], ["n", "b + 2", "b + 44"], ["b", 2, "46"]], "target_var_name": "t", "target_value": 46, "value_dict": {"b": 2}, "is_reverse": true}} | 6,744 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = b + 2; l = o + 8; s = w + 7; k = g + 2; t = s + 5; j = b + 14; p = e + 20; o = n + 20; b = 2; r = p + 13; e = j + 14; w = l + 2; g = r + 16. If b = 2, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = w + 7 to t, which gives t = w + 12.\n2. Substitute w = l + 2 to t, which gives t = l + 14.\n3. Substitute l = o + 8 to t, which gives t = o + 22.\n4. Substitute o = n + 20 to t, which gives t = n + 42.\n5. Substitute n = b + 2 to t, which gives t = b + 44.\n6. Substitute b = 2 to t, which gives t = 46.\n\nThus, the final answer is t = \\boxed{46}.",
"index": 6744,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = b + 2; l = o + 8; s = w + 7; k = g + 2; t = s + 5; j = b + 14; p = e + 20; o = n + 20; b = 2; r = p + 13; e = j + 14; w = l + 2; g = r + 16. If b = 2, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"t": "f + 9", "v": "t + 15", "z": "v + 11", "c": "z + 15", "k": "c + 13", "o": "k + 4", "p": "f + 11", "d": "p + 10", "n": "d + 4", "s": "n + 16", "j": "s + 6", "y": "j + 2", "f": 13}, "premises": {"f": 13}, "target": "o"}, "answer": {"steps": [["k", "c + 13", "c + 17"], ["c", "z + 15", "z + 32"], ["z", "v + 11", "v + 43"], ["v", "t + 15", "t + 58"], ["t", "f + 9", "f + 67"], ["f", 13, "80"]], "target_var_name": "o", "target_value": 80, "value_dict": {"f": 13}, "is_reverse": true}} | 6,745 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = f + 11; t = f + 9; f = 13; z = v + 11; y = j + 2; c = z + 15; k = c + 13; n = d + 4; o = k + 4; d = p + 10; j = s + 6; v = t + 15; s = n + 16. If f = 13, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = c + 13 to o, which gives o = c + 17.\n2. Substitute c = z + 15 to o, which gives o = z + 32.\n3. Substitute z = v + 11 to o, which gives o = v + 43.\n4. Substitute v = t + 15 to o, which gives o = t + 58.\n5. Substitute t = f + 9 to o, which gives o = f + 67.\n6. Substitute f = 13 to o, which gives o = 80.\n\nThus, the final answer is o = \\boxed{80}.",
"index": 6745,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = f + 11; t = f + 9; f = 13; z = v + 11; y = j + 2; c = z + 15; k = c + 13; n = d + 4; o = k + 4; d = p + 10; j = s + 6; v = t + 15; s = n + 16. If f = 13, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"h": "c + 16", "q": "h + 18", "g": "q + 7", "z": "g + 17", "l": "z + 15", "b": "l + 14", "x": "c + 10", "i": "x + 10", "m": "i + 16", "d": "m + 14", "o": "d + 7", "n": "o + 3", "c": 20}, "premises": {"c": 20}, "target": "b"}, "answer": {"steps": [["l", "z + 15", "z + 29"], ["z", "g + 17", "g + 46"], ["g", "q + 7", "q + 53"], ["q", "h + 18", "h + 71"], ["h", "c + 16", "c + 87"], ["c", 20, "107"]], "target_var_name": "b", "target_value": 107, "value_dict": {"c": 20}, "is_reverse": true}} | 6,746 | 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 = z + 15; m = i + 16; z = g + 17; h = c + 16; i = x + 10; c = 20; b = l + 14; d = m + 14; o = d + 7; g = q + 7; n = o + 3; q = h + 18; x = c + 10. If c = 20, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 107,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = z + 15 to b, which gives b = z + 29.\n2. Substitute z = g + 17 to b, which gives b = g + 46.\n3. Substitute g = q + 7 to b, which gives b = q + 53.\n4. Substitute q = h + 18 to b, which gives b = h + 71.\n5. Substitute h = c + 16 to b, which gives b = c + 87.\n6. Substitute c = 20 to b, which gives b = 107.\n\nThus, the final answer is b = \\boxed{107}.",
"index": 6746,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = z + 15; m = i + 16; z = g + 17; h = c + 16; i = x + 10; c = 20; b = l + 14; d = m + 14; o = d + 7; g = q + 7; n = o + 3; q = h + 18; x = c + 10. If c = 20, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"h": "e + 7", "m": "h + 14", "k": "m + 15", "c": "k + 15", "y": "c + 2", "r": "y + 11", "l": "e + 19", "b": "l + 3", "t": "b + 13", "q": "t + 2", "z": "q + 10", "v": "z + 18", "e": 9}, "premises": {"e": 9}, "target": "r"}, "answer": {"steps": [["y", "c + 2", "c + 13"], ["c", "k + 15", "k + 28"], ["k", "m + 15", "m + 43"], ["m", "h + 14", "h + 57"], ["h", "e + 7", "e + 64"], ["e", 9, "73"]], "target_var_name": "r", "target_value": 73, "value_dict": {"e": 9}, "is_reverse": true}} | 6,747 | 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 = z + 18; y = c + 2; h = e + 7; r = y + 11; q = t + 2; c = k + 15; b = l + 3; t = b + 13; z = q + 10; e = 9; m = h + 14; k = m + 15; l = e + 19. If e = 9, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = c + 2 to r, which gives r = c + 13.\n2. Substitute c = k + 15 to r, which gives r = k + 28.\n3. Substitute k = m + 15 to r, which gives r = m + 43.\n4. Substitute m = h + 14 to r, which gives r = h + 57.\n5. Substitute h = e + 7 to r, which gives r = e + 64.\n6. Substitute e = 9 to r, which gives r = 73.\n\nThus, the final answer is r = \\boxed{73}.",
"index": 6747,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = z + 18; y = c + 2; h = e + 7; r = y + 11; q = t + 2; c = k + 15; b = l + 3; t = b + 13; z = q + 10; e = 9; m = h + 14; k = m + 15; l = e + 19. If e = 9, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"l": "g + 2", "z": "l + 4", "s": "z + 15", "k": "s + 13", "m": "k + 15", "w": "m + 12", "f": "g + 4", "e": "f + 12", "t": "e + 20", "r": "t + 3", "o": "r + 18", "c": "o + 11", "g": 11}, "premises": {"g": 11}, "target": "w"}, "answer": {"steps": [["m", "k + 15", "k + 27"], ["k", "s + 13", "s + 40"], ["s", "z + 15", "z + 55"], ["z", "l + 4", "l + 59"], ["l", "g + 2", "g + 61"], ["g", 11, "72"]], "target_var_name": "w", "target_value": 72, "value_dict": {"g": 11}, "is_reverse": true}} | 6,748 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = r + 18; s = z + 15; z = l + 4; e = f + 12; k = s + 13; g = 11; l = g + 2; t = e + 20; c = o + 11; m = k + 15; r = t + 3; f = g + 4; w = m + 12. Given that g = 11, find 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 m = k + 15 to w, which gives w = k + 27.\n2. Substitute k = s + 13 to w, which gives w = s + 40.\n3. Substitute s = z + 15 to w, which gives w = z + 55.\n4. Substitute z = l + 4 to w, which gives w = l + 59.\n5. Substitute l = g + 2 to w, which gives w = g + 61.\n6. Substitute g = 11 to w, which gives w = 72.\n\nThus, the final answer is w = \\boxed{72}.",
"index": 6748,
"question": "Suppose a collection of variables is related by the following definitions: o = r + 18; s = z + 15; z = l + 4; e = f + 12; k = s + 13; g = 11; l = g + 2; t = e + 20; c = o + 11; m = k + 15; r = t + 3; f = g + 4; w = m + 12. Given that g = 11, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"r": "q + 13", "z": "r + 6", "x": "z + 10", "e": "x + 4", "s": "e + 8", "k": "s + 12", "g": "q + 5", "f": "g + 15", "y": "f + 17", "p": "y + 19", "c": "p + 17", "w": "c + 4", "q": 5}, "premises": {"q": 5}, "target": "k"}, "answer": {"steps": [["s", "e + 8", "e + 20"], ["e", "x + 4", "x + 24"], ["x", "z + 10", "z + 34"], ["z", "r + 6", "r + 40"], ["r", "q + 13", "q + 53"], ["q", 5, "58"]], "target_var_name": "k", "target_value": 58, "value_dict": {"q": 5}, "is_reverse": true}} | 6,749 | 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 = s + 12; p = y + 19; x = z + 10; e = x + 4; c = p + 17; w = c + 4; y = f + 17; s = e + 8; q = 5; r = q + 13; f = g + 15; z = r + 6; g = q + 5. If q = 5, what is the resulting 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 s = e + 8 to k, which gives k = e + 20.\n2. Substitute e = x + 4 to k, which gives k = x + 24.\n3. Substitute x = z + 10 to k, which gives k = z + 34.\n4. Substitute z = r + 6 to k, which gives k = r + 40.\n5. Substitute r = q + 13 to k, which gives k = q + 53.\n6. Substitute q = 5 to k, which gives k = 58.\n\nThus, the final answer is k = \\boxed{58}.",
"index": 6749,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = s + 12; p = y + 19; x = z + 10; e = x + 4; c = p + 17; w = c + 4; y = f + 17; s = e + 8; q = 5; r = q + 13; f = g + 15; z = r + 6; g = q + 5. If q = 5, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"u": "q + 17", "a": "u + 2", "p": "a + 18", "z": "p + 9", "m": "z + 15", "c": "m + 20", "x": "q + 6", "i": "x + 19", "j": "i + 17", "f": "j + 14", "k": "f + 16", "o": "k + 9", "q": 17}, "premises": {"q": 17}, "target": "c"}, "answer": {"steps": [["m", "z + 15", "z + 35"], ["z", "p + 9", "p + 44"], ["p", "a + 18", "a + 62"], ["a", "u + 2", "u + 64"], ["u", "q + 17", "q + 81"], ["q", 17, "98"]], "target_var_name": "c", "target_value": 98, "value_dict": {"q": 17}, "is_reverse": true}} | 6,750 | 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 = x + 19; x = q + 6; u = q + 17; j = i + 17; o = k + 9; f = j + 14; p = a + 18; c = m + 20; z = p + 9; a = u + 2; q = 17; k = f + 16; m = z + 15. If q = 17, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = z + 15 to c, which gives c = z + 35.\n2. Substitute z = p + 9 to c, which gives c = p + 44.\n3. Substitute p = a + 18 to c, which gives c = a + 62.\n4. Substitute a = u + 2 to c, which gives c = u + 64.\n5. Substitute u = q + 17 to c, which gives c = q + 81.\n6. Substitute q = 17 to c, which gives c = 98.\n\nThus, the final answer is c = \\boxed{98}.",
"index": 6750,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = x + 19; x = q + 6; u = q + 17; j = i + 17; o = k + 9; f = j + 14; p = a + 18; c = m + 20; z = p + 9; a = u + 2; q = 17; k = f + 16; m = z + 15. If q = 17, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"q": "m + 3", "x": "q + 3", "c": "x + 16", "d": "c + 13", "f": "d + 11", "u": "f + 20", "t": "m + 11", "y": "t + 19", "i": "y + 17", "z": "i + 11", "p": "z + 10", "s": "p + 5", "m": 14}, "premises": {"m": 14}, "target": "u"}, "answer": {"steps": [["f", "d + 11", "d + 31"], ["d", "c + 13", "c + 44"], ["c", "x + 16", "x + 60"], ["x", "q + 3", "q + 63"], ["q", "m + 3", "m + 66"], ["m", 14, "80"]], "target_var_name": "u", "target_value": 80, "value_dict": {"m": 14}, "is_reverse": true}} | 6,751 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = q + 3; c = x + 16; p = z + 10; d = c + 13; t = m + 11; y = t + 19; u = f + 20; z = i + 11; m = 14; i = y + 17; s = p + 5; q = m + 3; f = d + 11. If m = 14, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = d + 11 to u, which gives u = d + 31.\n2. Substitute d = c + 13 to u, which gives u = c + 44.\n3. Substitute c = x + 16 to u, which gives u = x + 60.\n4. Substitute x = q + 3 to u, which gives u = q + 63.\n5. Substitute q = m + 3 to u, which gives u = m + 66.\n6. Substitute m = 14 to u, which gives u = 80.\n\nThus, the final answer is u = \\boxed{80}.",
"index": 6751,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = q + 3; c = x + 16; p = z + 10; d = c + 13; t = m + 11; y = t + 19; u = f + 20; z = i + 11; m = 14; i = y + 17; s = p + 5; q = m + 3; f = d + 11. If m = 14, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"t": "o + 7", "y": "t + 13", "z": "y + 11", "h": "z + 7", "j": "h + 8", "x": "j + 17", "d": "o + 12", "a": "d + 10", "f": "a + 20", "s": "f + 5", "w": "s + 13", "e": "w + 5", "o": 3}, "premises": {"o": 3}, "target": "x"}, "answer": {"steps": [["j", "h + 8", "h + 25"], ["h", "z + 7", "z + 32"], ["z", "y + 11", "y + 43"], ["y", "t + 13", "t + 56"], ["t", "o + 7", "o + 63"], ["o", 3, "66"]], "target_var_name": "x", "target_value": 66, "value_dict": {"o": 3}, "is_reverse": true}} | 6,752 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = t + 13; o = 3; h = z + 7; f = a + 20; x = j + 17; t = o + 7; e = w + 5; a = d + 10; j = h + 8; z = y + 11; w = s + 13; s = f + 5; d = o + 12. If o = 3, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = h + 8 to x, which gives x = h + 25.\n2. Substitute h = z + 7 to x, which gives x = z + 32.\n3. Substitute z = y + 11 to x, which gives x = y + 43.\n4. Substitute y = t + 13 to x, which gives x = t + 56.\n5. Substitute t = o + 7 to x, which gives x = o + 63.\n6. Substitute o = 3 to x, which gives x = 66.\n\nThus, the final answer is x = \\boxed{66}.",
"index": 6752,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = t + 13; o = 3; h = z + 7; f = a + 20; x = j + 17; t = o + 7; e = w + 5; a = d + 10; j = h + 8; z = y + 11; w = s + 13; s = f + 5; d = o + 12. If o = 3, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"t": "q + 1", "c": "t + 7", "e": "c + 15", "d": "e + 6", "x": "d + 5", "a": "x + 8", "b": "q + 19", "p": "b + 15", "m": "p + 1", "s": "m + 18", "r": "s + 17", "o": "r + 17", "q": 13}, "premises": {"q": 13}, "target": "a"}, "answer": {"steps": [["x", "d + 5", "d + 13"], ["d", "e + 6", "e + 19"], ["e", "c + 15", "c + 34"], ["c", "t + 7", "t + 41"], ["t", "q + 1", "q + 42"], ["q", 13, "55"]], "target_var_name": "a", "target_value": 55, "value_dict": {"q": 13}, "is_reverse": true}} | 6,753 | 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 + 6; p = b + 15; q = 13; a = x + 8; e = c + 15; c = t + 7; s = m + 18; r = s + 17; o = r + 17; m = p + 1; b = q + 19; t = q + 1; x = d + 5. If q = 13, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = d + 5 to a, which gives a = d + 13.\n2. Substitute d = e + 6 to a, which gives a = e + 19.\n3. Substitute e = c + 15 to a, which gives a = c + 34.\n4. Substitute c = t + 7 to a, which gives a = t + 41.\n5. Substitute t = q + 1 to a, which gives a = q + 42.\n6. Substitute q = 13 to a, which gives a = 55.\n\nThus, the final answer is a = \\boxed{55}.",
"index": 6753,
"question": "Consider a system of variables where each variable is defined as follows: d = e + 6; p = b + 15; q = 13; a = x + 8; e = c + 15; c = t + 7; s = m + 18; r = s + 17; o = r + 17; m = p + 1; b = q + 19; t = q + 1; x = d + 5. If q = 13, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"b": "s + 20", "e": "b + 7", "r": "e + 7", "h": "r + 14", "a": "h + 16", "m": "a + 2", "q": "s + 15", "i": "q + 19", "o": "i + 9", "l": "o + 8", "n": "l + 1", "p": "n + 11", "s": 10}, "premises": {"s": 10}, "target": "m"}, "answer": {"steps": [["a", "h + 16", "h + 18"], ["h", "r + 14", "r + 32"], ["r", "e + 7", "e + 39"], ["e", "b + 7", "b + 46"], ["b", "s + 20", "s + 66"], ["s", 10, "76"]], "target_var_name": "m", "target_value": 76, "value_dict": {"s": 10}, "is_reverse": true}} | 6,754 | 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 + 9; s = 10; m = a + 2; e = b + 7; r = e + 7; i = q + 19; a = h + 16; b = s + 20; q = s + 15; h = r + 14; n = l + 1; l = o + 8; p = n + 11. If s = 10, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = h + 16 to m, which gives m = h + 18.\n2. Substitute h = r + 14 to m, which gives m = r + 32.\n3. Substitute r = e + 7 to m, which gives m = e + 39.\n4. Substitute e = b + 7 to m, which gives m = b + 46.\n5. Substitute b = s + 20 to m, which gives m = s + 66.\n6. Substitute s = 10 to m, which gives m = 76.\n\nThus, the final answer is m = \\boxed{76}.",
"index": 6754,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = i + 9; s = 10; m = a + 2; e = b + 7; r = e + 7; i = q + 19; a = h + 16; b = s + 20; q = s + 15; h = r + 14; n = l + 1; l = o + 8; p = n + 11. If s = 10, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"e": "t + 19", "g": "e + 19", "k": "g + 1", "j": "k + 15", "w": "j + 16", "r": "w + 1", "y": "t + 19", "m": "y + 7", "z": "m + 10", "h": "z + 18", "c": "h + 20", "q": "c + 4", "t": 9}, "premises": {"t": 9}, "target": "r"}, "answer": {"steps": [["w", "j + 16", "j + 17"], ["j", "k + 15", "k + 32"], ["k", "g + 1", "g + 33"], ["g", "e + 19", "e + 52"], ["e", "t + 19", "t + 71"], ["t", 9, "80"]], "target_var_name": "r", "target_value": 80, "value_dict": {"t": 9}, "is_reverse": true}} | 6,755 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = w + 1; z = m + 10; q = c + 4; c = h + 20; e = t + 19; y = t + 19; j = k + 15; k = g + 1; h = z + 18; g = e + 19; m = y + 7; w = j + 16; t = 9. Given that t = 9, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = j + 16 to r, which gives r = j + 17.\n2. Substitute j = k + 15 to r, which gives r = k + 32.\n3. Substitute k = g + 1 to r, which gives r = g + 33.\n4. Substitute g = e + 19 to r, which gives r = e + 52.\n5. Substitute e = t + 19 to r, which gives r = t + 71.\n6. Substitute t = 9 to r, which gives r = 80.\n\nThus, the final answer is r = \\boxed{80}.",
"index": 6755,
"question": "Suppose a collection of variables is related by the following definitions: r = w + 1; z = m + 10; q = c + 4; c = h + 20; e = t + 19; y = t + 19; j = k + 15; k = g + 1; h = z + 18; g = e + 19; m = y + 7; w = j + 16; t = 9. Given that t = 9, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"d": "r + 18", "p": "d + 17", "w": "p + 1", "a": "w + 4", "q": "a + 12", "y": "q + 16", "g": "r + 5", "n": "g + 14", "b": "n + 15", "f": "b + 13", "o": "f + 14", "l": "o + 2", "r": 18}, "premises": {"r": 18}, "target": "y"}, "answer": {"steps": [["q", "a + 12", "a + 28"], ["a", "w + 4", "w + 32"], ["w", "p + 1", "p + 33"], ["p", "d + 17", "d + 50"], ["d", "r + 18", "r + 68"], ["r", 18, "86"]], "target_var_name": "y", "target_value": 86, "value_dict": {"r": 18}, "is_reverse": true}} | 6,756 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = w + 4; g = r + 5; l = o + 2; o = f + 14; n = g + 14; r = 18; b = n + 15; y = q + 16; f = b + 13; d = r + 18; q = a + 12; p = d + 17; w = p + 1. If r = 18, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = a + 12 to y, which gives y = a + 28.\n2. Substitute a = w + 4 to y, which gives y = w + 32.\n3. Substitute w = p + 1 to y, which gives y = p + 33.\n4. Substitute p = d + 17 to y, which gives y = d + 50.\n5. Substitute d = r + 18 to y, which gives y = r + 68.\n6. Substitute r = 18 to y, which gives y = 86.\n\nThus, the final answer is y = \\boxed{86}.",
"index": 6756,
"question": "Consider a system of variables where each variable is defined as follows: a = w + 4; g = r + 5; l = o + 2; o = f + 14; n = g + 14; r = 18; b = n + 15; y = q + 16; f = b + 13; d = r + 18; q = a + 12; p = d + 17; w = p + 1. If r = 18, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"r": "u + 3", "m": "r + 13", "d": "m + 16", "p": "d + 18", "v": "p + 18", "g": "v + 6", "h": "u + 9", "j": "h + 4", "o": "j + 16", "k": "o + 4", "s": "k + 14", "a": "s + 8", "u": 3}, "premises": {"u": 3}, "target": "g"}, "answer": {"steps": [["v", "p + 18", "p + 24"], ["p", "d + 18", "d + 42"], ["d", "m + 16", "m + 58"], ["m", "r + 13", "r + 71"], ["r", "u + 3", "u + 74"], ["u", 3, "77"]], "target_var_name": "g", "target_value": 77, "value_dict": {"u": 3}, "is_reverse": true}} | 6,757 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = o + 4; s = k + 14; a = s + 8; v = p + 18; j = h + 4; h = u + 9; r = u + 3; g = v + 6; d = m + 16; o = j + 16; u = 3; p = d + 18; m = r + 13. If u = 3, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = p + 18 to g, which gives g = p + 24.\n2. Substitute p = d + 18 to g, which gives g = d + 42.\n3. Substitute d = m + 16 to g, which gives g = m + 58.\n4. Substitute m = r + 13 to g, which gives g = r + 71.\n5. Substitute r = u + 3 to g, which gives g = u + 74.\n6. Substitute u = 3 to g, which gives g = 77.\n\nThus, the final answer is g = \\boxed{77}.",
"index": 6757,
"question": "Consider a system of variables where each variable is defined as follows: k = o + 4; s = k + 14; a = s + 8; v = p + 18; j = h + 4; h = u + 9; r = u + 3; g = v + 6; d = m + 16; o = j + 16; u = 3; p = d + 18; m = r + 13. If u = 3, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"k": "m + 4", "b": "k + 4", "l": "b + 5", "s": "l + 14", "v": "s + 19", "w": "v + 8", "p": "m + 9", "t": "p + 17", "r": "t + 17", "e": "r + 13", "g": "e + 13", "c": "g + 18", "m": 14}, "premises": {"m": 14}, "target": "w"}, "answer": {"steps": [["v", "s + 19", "s + 27"], ["s", "l + 14", "l + 41"], ["l", "b + 5", "b + 46"], ["b", "k + 4", "k + 50"], ["k", "m + 4", "m + 54"], ["m", 14, "68"]], "target_var_name": "w", "target_value": 68, "value_dict": {"m": 14}, "is_reverse": true}} | 6,758 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = m + 4; s = l + 14; v = s + 19; r = t + 17; e = r + 13; w = v + 8; p = m + 9; l = b + 5; t = p + 17; b = k + 4; c = g + 18; g = e + 13; m = 14. Given that m = 14, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = s + 19 to w, which gives w = s + 27.\n2. Substitute s = l + 14 to w, which gives w = l + 41.\n3. Substitute l = b + 5 to w, which gives w = b + 46.\n4. Substitute b = k + 4 to w, which gives w = k + 50.\n5. Substitute k = m + 4 to w, which gives w = m + 54.\n6. Substitute m = 14 to w, which gives w = 68.\n\nThus, the final answer is w = \\boxed{68}.",
"index": 6758,
"question": "Suppose a collection of variables is related by the following definitions: k = m + 4; s = l + 14; v = s + 19; r = t + 17; e = r + 13; w = v + 8; p = m + 9; l = b + 5; t = p + 17; b = k + 4; c = g + 18; g = e + 13; m = 14. Given that m = 14, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"y": "r + 7", "d": "y + 2", "l": "d + 14", "c": "l + 12", "n": "c + 18", "m": "n + 2", "g": "r + 5", "i": "g + 15", "z": "i + 4", "b": "z + 5", "p": "b + 18", "k": "p + 17", "r": 6}, "premises": {"r": 6}, "target": "m"}, "answer": {"steps": [["n", "c + 18", "c + 20"], ["c", "l + 12", "l + 32"], ["l", "d + 14", "d + 46"], ["d", "y + 2", "y + 48"], ["y", "r + 7", "r + 55"], ["r", 6, "61"]], "target_var_name": "m", "target_value": 61, "value_dict": {"r": 6}, "is_reverse": true}} | 6,759 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = c + 18; z = i + 4; p = b + 18; i = g + 15; d = y + 2; y = r + 7; g = r + 5; l = d + 14; c = l + 12; k = p + 17; b = z + 5; m = n + 2; r = 6. If r = 6, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = c + 18 to m, which gives m = c + 20.\n2. Substitute c = l + 12 to m, which gives m = l + 32.\n3. Substitute l = d + 14 to m, which gives m = d + 46.\n4. Substitute d = y + 2 to m, which gives m = y + 48.\n5. Substitute y = r + 7 to m, which gives m = r + 55.\n6. Substitute r = 6 to m, which gives m = 61.\n\nThus, the final answer is m = \\boxed{61}.",
"index": 6759,
"question": "Consider a system of variables where each variable is defined as follows: n = c + 18; z = i + 4; p = b + 18; i = g + 15; d = y + 2; y = r + 7; g = r + 5; l = d + 14; c = l + 12; k = p + 17; b = z + 5; m = n + 2; r = 6. If r = 6, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"f": "b + 1", "n": "f + 5", "m": "n + 4", "p": "m + 18", "u": "p + 13", "r": "u + 3", "o": "b + 5", "s": "o + 7", "t": "s + 19", "k": "t + 18", "i": "k + 1", "g": "i + 3", "b": 16}, "premises": {"b": 16}, "target": "r"}, "answer": {"steps": [["u", "p + 13", "p + 16"], ["p", "m + 18", "m + 34"], ["m", "n + 4", "n + 38"], ["n", "f + 5", "f + 43"], ["f", "b + 1", "b + 44"], ["b", 16, "60"]], "target_var_name": "r", "target_value": 60, "value_dict": {"b": 16}, "is_reverse": true}} | 6,760 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = b + 5; i = k + 1; u = p + 13; f = b + 1; g = i + 3; p = m + 18; b = 16; n = f + 5; t = s + 19; m = n + 4; k = t + 18; s = o + 7; r = u + 3. Given that b = 16, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = p + 13 to r, which gives r = p + 16.\n2. Substitute p = m + 18 to r, which gives r = m + 34.\n3. Substitute m = n + 4 to r, which gives r = n + 38.\n4. Substitute n = f + 5 to r, which gives r = f + 43.\n5. Substitute f = b + 1 to r, which gives r = b + 44.\n6. Substitute b = 16 to r, which gives r = 60.\n\nThus, the final answer is r = \\boxed{60}.",
"index": 6760,
"question": "Suppose a collection of variables is related by the following definitions: o = b + 5; i = k + 1; u = p + 13; f = b + 1; g = i + 3; p = m + 18; b = 16; n = f + 5; t = s + 19; m = n + 4; k = t + 18; s = o + 7; r = u + 3. Given that b = 16, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"e": "i + 16", "m": "e + 17", "v": "m + 20", "y": "v + 19", "s": "y + 17", "k": "s + 18", "d": "i + 14", "z": "d + 12", "n": "z + 16", "r": "n + 1", "q": "r + 4", "h": "q + 18", "i": 11}, "premises": {"i": 11}, "target": "k"}, "answer": {"steps": [["s", "y + 17", "y + 35"], ["y", "v + 19", "v + 54"], ["v", "m + 20", "m + 74"], ["m", "e + 17", "e + 91"], ["e", "i + 16", "i + 107"], ["i", 11, "118"]], "target_var_name": "k", "target_value": 118, "value_dict": {"i": 11}, "is_reverse": true}} | 6,761 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = z + 16; y = v + 19; s = y + 17; v = m + 20; i = 11; k = s + 18; z = d + 12; e = i + 16; d = i + 14; m = e + 17; h = q + 18; r = n + 1; q = r + 4. If i = 11, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 118,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = y + 17 to k, which gives k = y + 35.\n2. Substitute y = v + 19 to k, which gives k = v + 54.\n3. Substitute v = m + 20 to k, which gives k = m + 74.\n4. Substitute m = e + 17 to k, which gives k = e + 91.\n5. Substitute e = i + 16 to k, which gives k = i + 107.\n6. Substitute i = 11 to k, which gives k = 118.\n\nThus, the final answer is k = \\boxed{118}.",
"index": 6761,
"question": "Consider a system of variables where each variable is defined as follows: n = z + 16; y = v + 19; s = y + 17; v = m + 20; i = 11; k = s + 18; z = d + 12; e = i + 16; d = i + 14; m = e + 17; h = q + 18; r = n + 1; q = r + 4. If i = 11, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"d": "v + 13", "h": "d + 10", "k": "h + 2", "l": "k + 20", "f": "l + 9", "q": "f + 16", "m": "v + 8", "j": "m + 17", "w": "j + 2", "o": "w + 10", "n": "o + 6", "u": "n + 6", "v": 7}, "premises": {"v": 7}, "target": "q"}, "answer": {"steps": [["f", "l + 9", "l + 25"], ["l", "k + 20", "k + 45"], ["k", "h + 2", "h + 47"], ["h", "d + 10", "d + 57"], ["d", "v + 13", "v + 70"], ["v", 7, "77"]], "target_var_name": "q", "target_value": 77, "value_dict": {"v": 7}, "is_reverse": true}} | 6,762 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = o + 6; o = w + 10; d = v + 13; h = d + 10; m = v + 8; k = h + 2; j = m + 17; q = f + 16; w = j + 2; l = k + 20; v = 7; u = n + 6; f = l + 9. Given that v = 7, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = l + 9 to q, which gives q = l + 25.\n2. Substitute l = k + 20 to q, which gives q = k + 45.\n3. Substitute k = h + 2 to q, which gives q = h + 47.\n4. Substitute h = d + 10 to q, which gives q = d + 57.\n5. Substitute d = v + 13 to q, which gives q = v + 70.\n6. Substitute v = 7 to q, which gives q = 77.\n\nThus, the final answer is q = \\boxed{77}.",
"index": 6762,
"question": "Suppose a collection of variables is related by the following definitions: n = o + 6; o = w + 10; d = v + 13; h = d + 10; m = v + 8; k = h + 2; j = m + 17; q = f + 16; w = j + 2; l = k + 20; v = 7; u = n + 6; f = l + 9. Given that v = 7, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"z": "u + 19", "i": "z + 10", "l": "i + 6", "s": "l + 8", "q": "s + 5", "t": "q + 15", "m": "u + 11", "o": "m + 8", "e": "o + 17", "h": "e + 17", "k": "h + 16", "y": "k + 3", "u": 11}, "premises": {"u": 11}, "target": "t"}, "answer": {"steps": [["q", "s + 5", "s + 20"], ["s", "l + 8", "l + 28"], ["l", "i + 6", "i + 34"], ["i", "z + 10", "z + 44"], ["z", "u + 19", "u + 63"], ["u", 11, "74"]], "target_var_name": "t", "target_value": 74, "value_dict": {"u": 11}, "is_reverse": true}} | 6,763 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = o + 17; q = s + 5; l = i + 6; h = e + 17; u = 11; k = h + 16; z = u + 19; m = u + 11; o = m + 8; s = l + 8; y = k + 3; i = z + 10; t = q + 15. If u = 11, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = s + 5 to t, which gives t = s + 20.\n2. Substitute s = l + 8 to t, which gives t = l + 28.\n3. Substitute l = i + 6 to t, which gives t = i + 34.\n4. Substitute i = z + 10 to t, which gives t = z + 44.\n5. Substitute z = u + 19 to t, which gives t = u + 63.\n6. Substitute u = 11 to t, which gives t = 74.\n\nThus, the final answer is t = \\boxed{74}.",
"index": 6763,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = o + 17; q = s + 5; l = i + 6; h = e + 17; u = 11; k = h + 16; z = u + 19; m = u + 11; o = m + 8; s = l + 8; y = k + 3; i = z + 10; t = q + 15. If u = 11, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"l": "t + 5", "s": "l + 2", "k": "s + 9", "b": "k + 3", "r": "b + 10", "o": "r + 13", "c": "t + 4", "n": "c + 19", "e": "n + 16", "d": "e + 16", "h": "d + 6", "a": "h + 1", "t": 11}, "premises": {"t": 11}, "target": "o"}, "answer": {"steps": [["r", "b + 10", "b + 23"], ["b", "k + 3", "k + 26"], ["k", "s + 9", "s + 35"], ["s", "l + 2", "l + 37"], ["l", "t + 5", "t + 42"], ["t", 11, "53"]], "target_var_name": "o", "target_value": 53, "value_dict": {"t": 11}, "is_reverse": true}} | 6,764 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = n + 16; o = r + 13; c = t + 4; h = d + 6; s = l + 2; a = h + 1; n = c + 19; d = e + 16; r = b + 10; b = k + 3; k = s + 9; t = 11; l = t + 5. Given that t = 11, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = b + 10 to o, which gives o = b + 23.\n2. Substitute b = k + 3 to o, which gives o = k + 26.\n3. Substitute k = s + 9 to o, which gives o = s + 35.\n4. Substitute s = l + 2 to o, which gives o = l + 37.\n5. Substitute l = t + 5 to o, which gives o = t + 42.\n6. Substitute t = 11 to o, which gives o = 53.\n\nThus, the final answer is o = \\boxed{53}.",
"index": 6764,
"question": "Suppose a collection of variables is related by the following definitions: e = n + 16; o = r + 13; c = t + 4; h = d + 6; s = l + 2; a = h + 1; n = c + 19; d = e + 16; r = b + 10; b = k + 3; k = s + 9; t = 11; l = t + 5. Given that t = 11, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"j": "e + 8", "d": "j + 17", "k": "d + 3", "s": "k + 9", "z": "s + 11", "b": "z + 3", "v": "e + 6", "w": "v + 14", "c": "w + 19", "o": "c + 17", "r": "o + 19", "p": "r + 8", "e": 4}, "premises": {"e": 4}, "target": "b"}, "answer": {"steps": [["z", "s + 11", "s + 14"], ["s", "k + 9", "k + 23"], ["k", "d + 3", "d + 26"], ["d", "j + 17", "j + 43"], ["j", "e + 8", "e + 51"], ["e", 4, "55"]], "target_var_name": "b", "target_value": 55, "value_dict": {"e": 4}, "is_reverse": true}} | 6,765 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = c + 17; b = z + 3; d = j + 17; w = v + 14; k = d + 3; r = o + 19; p = r + 8; j = e + 8; c = w + 19; z = s + 11; v = e + 6; e = 4; s = k + 9. If e = 4, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = s + 11 to b, which gives b = s + 14.\n2. Substitute s = k + 9 to b, which gives b = k + 23.\n3. Substitute k = d + 3 to b, which gives b = d + 26.\n4. Substitute d = j + 17 to b, which gives b = j + 43.\n5. Substitute j = e + 8 to b, which gives b = e + 51.\n6. Substitute e = 4 to b, which gives b = 55.\n\nThus, the final answer is b = \\boxed{55}.",
"index": 6765,
"question": "Consider a system of variables where each variable is defined as follows: o = c + 17; b = z + 3; d = j + 17; w = v + 14; k = d + 3; r = o + 19; p = r + 8; j = e + 8; c = w + 19; z = s + 11; v = e + 6; e = 4; s = k + 9. If e = 4, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"t": "w + 14", "p": "t + 18", "f": "p + 7", "u": "f + 9", "n": "u + 3", "e": "n + 10", "m": "w + 11", "k": "m + 13", "d": "k + 5", "j": "d + 11", "s": "j + 17", "c": "s + 6", "w": 2}, "premises": {"w": 2}, "target": "e"}, "answer": {"steps": [["n", "u + 3", "u + 13"], ["u", "f + 9", "f + 22"], ["f", "p + 7", "p + 29"], ["p", "t + 18", "t + 47"], ["t", "w + 14", "w + 61"], ["w", 2, "63"]], "target_var_name": "e", "target_value": 63, "value_dict": {"w": 2}, "is_reverse": true}} | 6,766 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = d + 11; p = t + 18; d = k + 5; f = p + 7; m = w + 11; k = m + 13; s = j + 17; n = u + 3; e = n + 10; c = s + 6; w = 2; u = f + 9; t = w + 14. If w = 2, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = u + 3 to e, which gives e = u + 13.\n2. Substitute u = f + 9 to e, which gives e = f + 22.\n3. Substitute f = p + 7 to e, which gives e = p + 29.\n4. Substitute p = t + 18 to e, which gives e = t + 47.\n5. Substitute t = w + 14 to e, which gives e = w + 61.\n6. Substitute w = 2 to e, which gives e = 63.\n\nThus, the final answer is e = \\boxed{63}.",
"index": 6766,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = d + 11; p = t + 18; d = k + 5; f = p + 7; m = w + 11; k = m + 13; s = j + 17; n = u + 3; e = n + 10; c = s + 6; w = 2; u = f + 9; t = w + 14. If w = 2, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"u": "f + 8", "g": "u + 19", "j": "g + 6", "a": "j + 17", "h": "a + 3", "v": "h + 19", "w": "f + 13", "p": "w + 9", "n": "p + 3", "e": "n + 16", "q": "e + 19", "k": "q + 8", "f": 8}, "premises": {"f": 8}, "target": "v"}, "answer": {"steps": [["h", "a + 3", "a + 22"], ["a", "j + 17", "j + 39"], ["j", "g + 6", "g + 45"], ["g", "u + 19", "u + 64"], ["u", "f + 8", "f + 72"], ["f", 8, "80"]], "target_var_name": "v", "target_value": 80, "value_dict": {"f": 8}, "is_reverse": true}} | 6,767 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = w + 9; u = f + 8; g = u + 19; f = 8; w = f + 13; a = j + 17; n = p + 3; h = a + 3; j = g + 6; k = q + 8; e = n + 16; q = e + 19; v = h + 19. If f = 8, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = a + 3 to v, which gives v = a + 22.\n2. Substitute a = j + 17 to v, which gives v = j + 39.\n3. Substitute j = g + 6 to v, which gives v = g + 45.\n4. Substitute g = u + 19 to v, which gives v = u + 64.\n5. Substitute u = f + 8 to v, which gives v = f + 72.\n6. Substitute f = 8 to v, which gives v = 80.\n\nThus, the final answer is v = \\boxed{80}.",
"index": 6767,
"question": "Consider a system of variables where each variable is defined as follows: p = w + 9; u = f + 8; g = u + 19; f = 8; w = f + 13; a = j + 17; n = p + 3; h = a + 3; j = g + 6; k = q + 8; e = n + 16; q = e + 19; v = h + 19. If f = 8, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"n": "a + 16", "h": "n + 6", "m": "h + 16", "g": "m + 20", "y": "g + 4", "f": "y + 3", "j": "a + 6", "e": "j + 8", "u": "e + 9", "d": "u + 1", "p": "d + 2", "i": "p + 8", "a": 19}, "premises": {"a": 19}, "target": "f"}, "answer": {"steps": [["y", "g + 4", "g + 7"], ["g", "m + 20", "m + 27"], ["m", "h + 16", "h + 43"], ["h", "n + 6", "n + 49"], ["n", "a + 16", "a + 65"], ["a", 19, "84"]], "target_var_name": "f", "target_value": 84, "value_dict": {"a": 19}, "is_reverse": true}} | 6,768 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = y + 3; e = j + 8; j = a + 6; n = a + 16; a = 19; m = h + 16; d = u + 1; y = g + 4; i = p + 8; g = m + 20; h = n + 6; u = e + 9; p = d + 2. Given that a = 19, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = g + 4 to f, which gives f = g + 7.\n2. Substitute g = m + 20 to f, which gives f = m + 27.\n3. Substitute m = h + 16 to f, which gives f = h + 43.\n4. Substitute h = n + 6 to f, which gives f = n + 49.\n5. Substitute n = a + 16 to f, which gives f = a + 65.\n6. Substitute a = 19 to f, which gives f = 84.\n\nThus, the final answer is f = \\boxed{84}.",
"index": 6768,
"question": "Suppose a collection of variables is related by the following definitions: f = y + 3; e = j + 8; j = a + 6; n = a + 16; a = 19; m = h + 16; d = u + 1; y = g + 4; i = p + 8; g = m + 20; h = n + 6; u = e + 9; p = d + 2. Given that a = 19, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"d": "l + 16", "p": "d + 8", "k": "p + 2", "b": "k + 20", "h": "b + 20", "f": "h + 16", "a": "l + 1", "g": "a + 11", "n": "g + 17", "c": "n + 3", "r": "c + 3", "t": "r + 20", "l": 10}, "premises": {"l": 10}, "target": "f"}, "answer": {"steps": [["h", "b + 20", "b + 36"], ["b", "k + 20", "k + 56"], ["k", "p + 2", "p + 58"], ["p", "d + 8", "d + 66"], ["d", "l + 16", "l + 82"], ["l", 10, "92"]], "target_var_name": "f", "target_value": 92, "value_dict": {"l": 10}, "is_reverse": true}} | 6,769 | 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 = 10; f = h + 16; k = p + 2; r = c + 3; g = a + 11; t = r + 20; d = l + 16; a = l + 1; b = k + 20; c = n + 3; n = g + 17; p = d + 8; h = b + 20. If l = 10, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = b + 20 to f, which gives f = b + 36.\n2. Substitute b = k + 20 to f, which gives f = k + 56.\n3. Substitute k = p + 2 to f, which gives f = p + 58.\n4. Substitute p = d + 8 to f, which gives f = d + 66.\n5. Substitute d = l + 16 to f, which gives f = l + 82.\n6. Substitute l = 10 to f, which gives f = 92.\n\nThus, the final answer is f = \\boxed{92}.",
"index": 6769,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = 10; f = h + 16; k = p + 2; r = c + 3; g = a + 11; t = r + 20; d = l + 16; a = l + 1; b = k + 20; c = n + 3; n = g + 17; p = d + 8; h = b + 20. If l = 10, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"e": "g + 20", "t": "e + 17", "z": "t + 8", "j": "z + 7", "s": "j + 4", "o": "s + 3", "q": "g + 5", "n": "q + 11", "x": "n + 9", "d": "x + 1", "r": "d + 10", "f": "r + 15", "g": 18}, "premises": {"g": 18}, "target": "o"}, "answer": {"steps": [["s", "j + 4", "j + 7"], ["j", "z + 7", "z + 14"], ["z", "t + 8", "t + 22"], ["t", "e + 17", "e + 39"], ["e", "g + 20", "g + 59"], ["g", 18, "77"]], "target_var_name": "o", "target_value": 77, "value_dict": {"g": 18}, "is_reverse": true}} | 6,770 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = g + 20; n = q + 11; q = g + 5; o = s + 3; d = x + 1; g = 18; z = t + 8; t = e + 17; f = r + 15; s = j + 4; j = z + 7; r = d + 10; x = n + 9. Given that g = 18, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = j + 4 to o, which gives o = j + 7.\n2. Substitute j = z + 7 to o, which gives o = z + 14.\n3. Substitute z = t + 8 to o, which gives o = t + 22.\n4. Substitute t = e + 17 to o, which gives o = e + 39.\n5. Substitute e = g + 20 to o, which gives o = g + 59.\n6. Substitute g = 18 to o, which gives o = 77.\n\nThus, the final answer is o = \\boxed{77}.",
"index": 6770,
"question": "Suppose a collection of variables is related by the following definitions: e = g + 20; n = q + 11; q = g + 5; o = s + 3; d = x + 1; g = 18; z = t + 8; t = e + 17; f = r + 15; s = j + 4; j = z + 7; r = d + 10; x = n + 9. Given that g = 18, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"b": "c + 8", "r": "b + 5", "i": "r + 1", "s": "i + 18", "e": "s + 6", "w": "e + 12", "u": "c + 18", "t": "u + 13", "n": "t + 15", "f": "n + 16", "y": "f + 11", "x": "y + 19", "c": 5}, "premises": {"c": 5}, "target": "w"}, "answer": {"steps": [["e", "s + 6", "s + 18"], ["s", "i + 18", "i + 36"], ["i", "r + 1", "r + 37"], ["r", "b + 5", "b + 42"], ["b", "c + 8", "c + 50"], ["c", 5, "55"]], "target_var_name": "w", "target_value": 55, "value_dict": {"c": 5}, "is_reverse": true}} | 6,771 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = f + 11; n = t + 15; r = b + 5; e = s + 6; b = c + 8; x = y + 19; s = i + 18; i = r + 1; c = 5; t = u + 13; u = c + 18; w = e + 12; f = n + 16. If c = 5, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = s + 6 to w, which gives w = s + 18.\n2. Substitute s = i + 18 to w, which gives w = i + 36.\n3. Substitute i = r + 1 to w, which gives w = r + 37.\n4. Substitute r = b + 5 to w, which gives w = b + 42.\n5. Substitute b = c + 8 to w, which gives w = c + 50.\n6. Substitute c = 5 to w, which gives w = 55.\n\nThus, the final answer is w = \\boxed{55}.",
"index": 6771,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = f + 11; n = t + 15; r = b + 5; e = s + 6; b = c + 8; x = y + 19; s = i + 18; i = r + 1; c = 5; t = u + 13; u = c + 18; w = e + 12; f = n + 16. If c = 5, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"e": "z + 18", "t": "e + 11", "u": "t + 4", "m": "u + 2", "c": "m + 3", "v": "c + 11", "x": "z + 20", "o": "x + 7", "a": "o + 20", "g": "a + 13", "d": "g + 20", "y": "d + 16", "z": 19}, "premises": {"z": 19}, "target": "v"}, "answer": {"steps": [["c", "m + 3", "m + 14"], ["m", "u + 2", "u + 16"], ["u", "t + 4", "t + 20"], ["t", "e + 11", "e + 31"], ["e", "z + 18", "z + 49"], ["z", 19, "68"]], "target_var_name": "v", "target_value": 68, "value_dict": {"z": 19}, "is_reverse": true}} | 6,772 | 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 = z + 18; d = g + 20; u = t + 4; v = c + 11; y = d + 16; m = u + 2; x = z + 20; o = x + 7; g = a + 13; z = 19; c = m + 3; t = e + 11; a = o + 20. If z = 19, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = m + 3 to v, which gives v = m + 14.\n2. Substitute m = u + 2 to v, which gives v = u + 16.\n3. Substitute u = t + 4 to v, which gives v = t + 20.\n4. Substitute t = e + 11 to v, which gives v = e + 31.\n5. Substitute e = z + 18 to v, which gives v = z + 49.\n6. Substitute z = 19 to v, which gives v = 68.\n\nThus, the final answer is v = \\boxed{68}.",
"index": 6772,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = z + 18; d = g + 20; u = t + 4; v = c + 11; y = d + 16; m = u + 2; x = z + 20; o = x + 7; g = a + 13; z = 19; c = m + 3; t = e + 11; a = o + 20. If z = 19, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"r": "n + 12", "h": "r + 9", "o": "h + 8", "w": "o + 7", "e": "w + 3", "d": "e + 8", "f": "n + 9", "t": "f + 11", "p": "t + 18", "v": "p + 1", "z": "v + 11", "i": "z + 10", "n": 18}, "premises": {"n": 18}, "target": "d"}, "answer": {"steps": [["e", "w + 3", "w + 11"], ["w", "o + 7", "o + 18"], ["o", "h + 8", "h + 26"], ["h", "r + 9", "r + 35"], ["r", "n + 12", "n + 47"], ["n", 18, "65"]], "target_var_name": "d", "target_value": 65, "value_dict": {"n": 18}, "is_reverse": true}} | 6,773 | 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 = z + 10; p = t + 18; w = o + 7; d = e + 8; f = n + 9; n = 18; v = p + 1; z = v + 11; h = r + 9; e = w + 3; r = n + 12; o = h + 8; t = f + 11. If n = 18, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = w + 3 to d, which gives d = w + 11.\n2. Substitute w = o + 7 to d, which gives d = o + 18.\n3. Substitute o = h + 8 to d, which gives d = h + 26.\n4. Substitute h = r + 9 to d, which gives d = r + 35.\n5. Substitute r = n + 12 to d, which gives d = n + 47.\n6. Substitute n = 18 to d, which gives d = 65.\n\nThus, the final answer is d = \\boxed{65}.",
"index": 6773,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = z + 10; p = t + 18; w = o + 7; d = e + 8; f = n + 9; n = 18; v = p + 1; z = v + 11; h = r + 9; e = w + 3; r = n + 12; o = h + 8; t = f + 11. If n = 18, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"a": "j + 4", "z": "a + 17", "k": "z + 18", "l": "k + 9", "c": "l + 4", "v": "c + 3", "g": "j + 8", "p": "g + 8", "e": "p + 6", "i": "e + 8", "o": "i + 3", "u": "o + 1", "j": 11}, "premises": {"j": 11}, "target": "v"}, "answer": {"steps": [["c", "l + 4", "l + 7"], ["l", "k + 9", "k + 16"], ["k", "z + 18", "z + 34"], ["z", "a + 17", "a + 51"], ["a", "j + 4", "j + 55"], ["j", 11, "66"]], "target_var_name": "v", "target_value": 66, "value_dict": {"j": 11}, "is_reverse": true}} | 6,774 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = k + 9; a = j + 4; o = i + 3; j = 11; p = g + 8; e = p + 6; c = l + 4; k = z + 18; z = a + 17; g = j + 8; i = e + 8; u = o + 1; v = c + 3. If j = 11, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = l + 4 to v, which gives v = l + 7.\n2. Substitute l = k + 9 to v, which gives v = k + 16.\n3. Substitute k = z + 18 to v, which gives v = z + 34.\n4. Substitute z = a + 17 to v, which gives v = a + 51.\n5. Substitute a = j + 4 to v, which gives v = j + 55.\n6. Substitute j = 11 to v, which gives v = 66.\n\nThus, the final answer is v = \\boxed{66}.",
"index": 6774,
"question": "Consider a system of variables where each variable is defined as follows: l = k + 9; a = j + 4; o = i + 3; j = 11; p = g + 8; e = p + 6; c = l + 4; k = z + 18; z = a + 17; g = j + 8; i = e + 8; u = o + 1; v = c + 3. If j = 11, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"y": "f + 1", "r": "y + 9", "d": "r + 5", "o": "d + 12", "b": "o + 8", "n": "b + 4", "w": "f + 4", "v": "w + 18", "q": "v + 13", "e": "q + 1", "u": "e + 18", "i": "u + 4", "f": 3}, "premises": {"f": 3}, "target": "n"}, "answer": {"steps": [["b", "o + 8", "o + 12"], ["o", "d + 12", "d + 24"], ["d", "r + 5", "r + 29"], ["r", "y + 9", "y + 38"], ["y", "f + 1", "f + 39"], ["f", 3, "42"]], "target_var_name": "n", "target_value": 42, "value_dict": {"f": 3}, "is_reverse": true}} | 6,775 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = y + 9; b = o + 8; o = d + 12; q = v + 13; d = r + 5; e = q + 1; f = 3; i = u + 4; u = e + 18; w = f + 4; v = w + 18; y = f + 1; n = b + 4. If f = 3, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 42,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = o + 8 to n, which gives n = o + 12.\n2. Substitute o = d + 12 to n, which gives n = d + 24.\n3. Substitute d = r + 5 to n, which gives n = r + 29.\n4. Substitute r = y + 9 to n, which gives n = y + 38.\n5. Substitute y = f + 1 to n, which gives n = f + 39.\n6. Substitute f = 3 to n, which gives n = 42.\n\nThus, the final answer is n = \\boxed{42}.",
"index": 6775,
"question": "Consider a system of variables where each variable is defined as follows: r = y + 9; b = o + 8; o = d + 12; q = v + 13; d = r + 5; e = q + 1; f = 3; i = u + 4; u = e + 18; w = f + 4; v = w + 18; y = f + 1; n = b + 4. If f = 3, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"u": "l + 3", "x": "u + 16", "y": "x + 9", "r": "y + 17", "b": "r + 12", "f": "b + 9", "h": "l + 14", "q": "h + 10", "g": "q + 10", "j": "g + 9", "v": "j + 19", "k": "v + 12", "l": 2}, "premises": {"l": 2}, "target": "f"}, "answer": {"steps": [["b", "r + 12", "r + 21"], ["r", "y + 17", "y + 38"], ["y", "x + 9", "x + 47"], ["x", "u + 16", "u + 63"], ["u", "l + 3", "l + 66"], ["l", 2, "68"]], "target_var_name": "f", "target_value": 68, "value_dict": {"l": 2}, "is_reverse": true}} | 6,776 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = j + 19; r = y + 17; f = b + 9; l = 2; u = l + 3; q = h + 10; x = u + 16; h = l + 14; g = q + 10; b = r + 12; y = x + 9; j = g + 9; k = v + 12. If l = 2, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = r + 12 to f, which gives f = r + 21.\n2. Substitute r = y + 17 to f, which gives f = y + 38.\n3. Substitute y = x + 9 to f, which gives f = x + 47.\n4. Substitute x = u + 16 to f, which gives f = u + 63.\n5. Substitute u = l + 3 to f, which gives f = l + 66.\n6. Substitute l = 2 to f, which gives f = 68.\n\nThus, the final answer is f = \\boxed{68}.",
"index": 6776,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = j + 19; r = y + 17; f = b + 9; l = 2; u = l + 3; q = h + 10; x = u + 16; h = l + 14; g = q + 10; b = r + 12; y = x + 9; j = g + 9; k = v + 12. If l = 2, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"y": "v + 20", "e": "y + 3", "u": "e + 11", "d": "u + 1", "z": "d + 9", "h": "z + 8", "p": "v + 10", "a": "p + 5", "x": "a + 20", "b": "x + 8", "o": "b + 4", "j": "o + 8", "v": 10}, "premises": {"v": 10}, "target": "h"}, "answer": {"steps": [["z", "d + 9", "d + 17"], ["d", "u + 1", "u + 18"], ["u", "e + 11", "e + 29"], ["e", "y + 3", "y + 32"], ["y", "v + 20", "v + 52"], ["v", 10, "62"]], "target_var_name": "h", "target_value": 62, "value_dict": {"v": 10}, "is_reverse": true}} | 6,777 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = p + 5; u = e + 11; x = a + 20; j = o + 8; d = u + 1; y = v + 20; b = x + 8; z = d + 9; p = v + 10; e = y + 3; h = z + 8; v = 10; o = b + 4. Given that v = 10, find 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 z = d + 9 to h, which gives h = d + 17.\n2. Substitute d = u + 1 to h, which gives h = u + 18.\n3. Substitute u = e + 11 to h, which gives h = e + 29.\n4. Substitute e = y + 3 to h, which gives h = y + 32.\n5. Substitute y = v + 20 to h, which gives h = v + 52.\n6. Substitute v = 10 to h, which gives h = 62.\n\nThus, the final answer is h = \\boxed{62}.",
"index": 6777,
"question": "Suppose a collection of variables is related by the following definitions: a = p + 5; u = e + 11; x = a + 20; j = o + 8; d = u + 1; y = v + 20; b = x + 8; z = d + 9; p = v + 10; e = y + 3; h = z + 8; v = 10; o = b + 4. Given that v = 10, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"k": "l + 8", "b": "k + 17", "q": "b + 2", "g": "q + 12", "o": "g + 7", "n": "o + 7", "v": "l + 10", "e": "v + 6", "m": "e + 2", "p": "m + 5", "y": "p + 19", "h": "y + 5", "l": 17}, "premises": {"l": 17}, "target": "n"}, "answer": {"steps": [["o", "g + 7", "g + 14"], ["g", "q + 12", "q + 26"], ["q", "b + 2", "b + 28"], ["b", "k + 17", "k + 45"], ["k", "l + 8", "l + 53"], ["l", 17, "70"]], "target_var_name": "n", "target_value": 70, "value_dict": {"l": 17}, "is_reverse": true}} | 6,778 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = m + 5; g = q + 12; v = l + 10; m = e + 2; o = g + 7; n = o + 7; e = v + 6; k = l + 8; y = p + 19; h = y + 5; l = 17; q = b + 2; b = k + 17. Given that l = 17, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = g + 7 to n, which gives n = g + 14.\n2. Substitute g = q + 12 to n, which gives n = q + 26.\n3. Substitute q = b + 2 to n, which gives n = b + 28.\n4. Substitute b = k + 17 to n, which gives n = k + 45.\n5. Substitute k = l + 8 to n, which gives n = l + 53.\n6. Substitute l = 17 to n, which gives n = 70.\n\nThus, the final answer is n = \\boxed{70}.",
"index": 6778,
"question": "Suppose a collection of variables is related by the following definitions: p = m + 5; g = q + 12; v = l + 10; m = e + 2; o = g + 7; n = o + 7; e = v + 6; k = l + 8; y = p + 19; h = y + 5; l = 17; q = b + 2; b = k + 17. Given that l = 17, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"g": "m + 12", "y": "g + 7", "q": "y + 12", "e": "q + 15", "j": "e + 2", "t": "j + 4", "f": "m + 1", "k": "f + 2", "x": "k + 2", "u": "x + 9", "c": "u + 9", "i": "c + 17", "m": 15}, "premises": {"m": 15}, "target": "t"}, "answer": {"steps": [["j", "e + 2", "e + 6"], ["e", "q + 15", "q + 21"], ["q", "y + 12", "y + 33"], ["y", "g + 7", "g + 40"], ["g", "m + 12", "m + 52"], ["m", 15, "67"]], "target_var_name": "t", "target_value": 67, "value_dict": {"m": 15}, "is_reverse": true}} | 6,779 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = x + 9; y = g + 7; q = y + 12; m = 15; t = j + 4; j = e + 2; e = q + 15; k = f + 2; c = u + 9; i = c + 17; f = m + 1; g = m + 12; x = k + 2. If m = 15, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = e + 2 to t, which gives t = e + 6.\n2. Substitute e = q + 15 to t, which gives t = q + 21.\n3. Substitute q = y + 12 to t, which gives t = y + 33.\n4. Substitute y = g + 7 to t, which gives t = g + 40.\n5. Substitute g = m + 12 to t, which gives t = m + 52.\n6. Substitute m = 15 to t, which gives t = 67.\n\nThus, the final answer is t = \\boxed{67}.",
"index": 6779,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = x + 9; y = g + 7; q = y + 12; m = 15; t = j + 4; j = e + 2; e = q + 15; k = f + 2; c = u + 9; i = c + 17; f = m + 1; g = m + 12; x = k + 2. If m = 15, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"v": "b + 7", "y": "v + 11", "s": "y + 20", "t": "s + 1", "q": "t + 17", "g": "q + 6", "u": "b + 13", "m": "u + 13", "h": "m + 16", "i": "h + 2", "w": "i + 15", "a": "w + 1", "b": 12}, "premises": {"b": 12}, "target": "g"}, "answer": {"steps": [["q", "t + 17", "t + 23"], ["t", "s + 1", "s + 24"], ["s", "y + 20", "y + 44"], ["y", "v + 11", "v + 55"], ["v", "b + 7", "b + 62"], ["b", 12, "74"]], "target_var_name": "g", "target_value": 74, "value_dict": {"b": 12}, "is_reverse": true}} | 6,780 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = i + 15; y = v + 11; h = m + 16; a = w + 1; q = t + 17; s = y + 20; b = 12; g = q + 6; m = u + 13; u = b + 13; v = b + 7; i = h + 2; t = s + 1. Given that b = 12, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = t + 17 to g, which gives g = t + 23.\n2. Substitute t = s + 1 to g, which gives g = s + 24.\n3. Substitute s = y + 20 to g, which gives g = y + 44.\n4. Substitute y = v + 11 to g, which gives g = v + 55.\n5. Substitute v = b + 7 to g, which gives g = b + 62.\n6. Substitute b = 12 to g, which gives g = 74.\n\nThus, the final answer is g = \\boxed{74}.",
"index": 6780,
"question": "Suppose a collection of variables is related by the following definitions: w = i + 15; y = v + 11; h = m + 16; a = w + 1; q = t + 17; s = y + 20; b = 12; g = q + 6; m = u + 13; u = b + 13; v = b + 7; i = h + 2; t = s + 1. Given that b = 12, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"d": "m + 11", "u": "d + 5", "p": "u + 2", "h": "p + 12", "s": "h + 2", "t": "s + 10", "g": "m + 11", "r": "g + 13", "w": "r + 10", "j": "w + 2", "k": "j + 5", "c": "k + 14", "m": 15}, "premises": {"m": 15}, "target": "t"}, "answer": {"steps": [["s", "h + 2", "h + 12"], ["h", "p + 12", "p + 24"], ["p", "u + 2", "u + 26"], ["u", "d + 5", "d + 31"], ["d", "m + 11", "m + 42"], ["m", 15, "57"]], "target_var_name": "t", "target_value": 57, "value_dict": {"m": 15}, "is_reverse": true}} | 6,781 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = m + 11; k = j + 5; w = r + 10; c = k + 14; u = d + 5; g = m + 11; h = p + 12; j = w + 2; m = 15; s = h + 2; r = g + 13; t = s + 10; p = u + 2. If m = 15, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = h + 2 to t, which gives t = h + 12.\n2. Substitute h = p + 12 to t, which gives t = p + 24.\n3. Substitute p = u + 2 to t, which gives t = u + 26.\n4. Substitute u = d + 5 to t, which gives t = d + 31.\n5. Substitute d = m + 11 to t, which gives t = m + 42.\n6. Substitute m = 15 to t, which gives t = 57.\n\nThus, the final answer is t = \\boxed{57}.",
"index": 6781,
"question": "Consider a system of variables where each variable is defined as follows: d = m + 11; k = j + 5; w = r + 10; c = k + 14; u = d + 5; g = m + 11; h = p + 12; j = w + 2; m = 15; s = h + 2; r = g + 13; t = s + 10; p = u + 2. If m = 15, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"a": "c + 6", "m": "a + 2", "n": "m + 8", "o": "n + 5", "d": "o + 6", "y": "d + 4", "t": "c + 5", "l": "t + 19", "r": "l + 16", "e": "r + 1", "b": "e + 11", "w": "b + 15", "c": 15}, "premises": {"c": 15}, "target": "y"}, "answer": {"steps": [["d", "o + 6", "o + 10"], ["o", "n + 5", "n + 15"], ["n", "m + 8", "m + 23"], ["m", "a + 2", "a + 25"], ["a", "c + 6", "c + 31"], ["c", 15, "46"]], "target_var_name": "y", "target_value": 46, "value_dict": {"c": 15}, "is_reverse": true}} | 6,782 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = a + 2; e = r + 1; d = o + 6; t = c + 5; n = m + 8; r = l + 16; a = c + 6; l = t + 19; y = d + 4; o = n + 5; w = b + 15; b = e + 11; c = 15. If c = 15, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = o + 6 to y, which gives y = o + 10.\n2. Substitute o = n + 5 to y, which gives y = n + 15.\n3. Substitute n = m + 8 to y, which gives y = m + 23.\n4. Substitute m = a + 2 to y, which gives y = a + 25.\n5. Substitute a = c + 6 to y, which gives y = c + 31.\n6. Substitute c = 15 to y, which gives y = 46.\n\nThus, the final answer is y = \\boxed{46}.",
"index": 6782,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = a + 2; e = r + 1; d = o + 6; t = c + 5; n = m + 8; r = l + 16; a = c + 6; l = t + 19; y = d + 4; o = n + 5; w = b + 15; b = e + 11; c = 15. If c = 15, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"h": "z + 9", "r": "h + 4", "g": "r + 6", "w": "g + 20", "q": "w + 12", "c": "q + 17", "j": "z + 11", "n": "j + 1", "y": "n + 7", "i": "y + 20", "u": "i + 4", "v": "u + 19", "z": 8}, "premises": {"z": 8}, "target": "c"}, "answer": {"steps": [["q", "w + 12", "w + 29"], ["w", "g + 20", "g + 49"], ["g", "r + 6", "r + 55"], ["r", "h + 4", "h + 59"], ["h", "z + 9", "z + 68"], ["z", 8, "76"]], "target_var_name": "c", "target_value": 76, "value_dict": {"z": 8}, "is_reverse": true}} | 6,783 | 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 = g + 20; c = q + 17; i = y + 20; h = z + 9; r = h + 4; u = i + 4; y = n + 7; j = z + 11; q = w + 12; n = j + 1; v = u + 19; g = r + 6; z = 8. If z = 8, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = w + 12 to c, which gives c = w + 29.\n2. Substitute w = g + 20 to c, which gives c = g + 49.\n3. Substitute g = r + 6 to c, which gives c = r + 55.\n4. Substitute r = h + 4 to c, which gives c = h + 59.\n5. Substitute h = z + 9 to c, which gives c = z + 68.\n6. Substitute z = 8 to c, which gives c = 76.\n\nThus, the final answer is c = \\boxed{76}.",
"index": 6783,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = g + 20; c = q + 17; i = y + 20; h = z + 9; r = h + 4; u = i + 4; y = n + 7; j = z + 11; q = w + 12; n = j + 1; v = u + 19; g = r + 6; z = 8. If z = 8, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"f": "x + 11", "c": "f + 7", "t": "c + 12", "m": "t + 2", "l": "m + 7", "y": "l + 17", "q": "x + 19", "o": "q + 15", "s": "o + 1", "a": "s + 12", "k": "a + 2", "h": "k + 12", "x": 19}, "premises": {"x": 19}, "target": "y"}, "answer": {"steps": [["l", "m + 7", "m + 24"], ["m", "t + 2", "t + 26"], ["t", "c + 12", "c + 38"], ["c", "f + 7", "f + 45"], ["f", "x + 11", "x + 56"], ["x", 19, "75"]], "target_var_name": "y", "target_value": 75, "value_dict": {"x": 19}, "is_reverse": true}} | 6,784 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = 19; a = s + 12; m = t + 2; l = m + 7; t = c + 12; h = k + 12; k = a + 2; c = f + 7; s = o + 1; q = x + 19; y = l + 17; f = x + 11; o = q + 15. If x = 19, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = m + 7 to y, which gives y = m + 24.\n2. Substitute m = t + 2 to y, which gives y = t + 26.\n3. Substitute t = c + 12 to y, which gives y = c + 38.\n4. Substitute c = f + 7 to y, which gives y = f + 45.\n5. Substitute f = x + 11 to y, which gives y = x + 56.\n6. Substitute x = 19 to y, which gives y = 75.\n\nThus, the final answer is y = \\boxed{75}.",
"index": 6784,
"question": "Consider a system of variables where each variable is defined as follows: x = 19; a = s + 12; m = t + 2; l = m + 7; t = c + 12; h = k + 12; k = a + 2; c = f + 7; s = o + 1; q = x + 19; y = l + 17; f = x + 11; o = q + 15. If x = 19, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"i": "y + 13", "e": "i + 8", "m": "e + 16", "c": "m + 13", "v": "c + 10", "d": "v + 10", "g": "y + 10", "f": "g + 18", "u": "f + 1", "p": "u + 10", "b": "p + 7", "o": "b + 20", "y": 15}, "premises": {"y": 15}, "target": "d"}, "answer": {"steps": [["v", "c + 10", "c + 20"], ["c", "m + 13", "m + 33"], ["m", "e + 16", "e + 49"], ["e", "i + 8", "i + 57"], ["i", "y + 13", "y + 70"], ["y", 15, "85"]], "target_var_name": "d", "target_value": 85, "value_dict": {"y": 15}, "is_reverse": true}} | 6,785 | 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 = i + 8; o = b + 20; v = c + 10; y = 15; u = f + 1; d = v + 10; f = g + 18; c = m + 13; p = u + 10; b = p + 7; i = y + 13; m = e + 16; g = y + 10. If y = 15, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = c + 10 to d, which gives d = c + 20.\n2. Substitute c = m + 13 to d, which gives d = m + 33.\n3. Substitute m = e + 16 to d, which gives d = e + 49.\n4. Substitute e = i + 8 to d, which gives d = i + 57.\n5. Substitute i = y + 13 to d, which gives d = y + 70.\n6. Substitute y = 15 to d, which gives d = 85.\n\nThus, the final answer is d = \\boxed{85}.",
"index": 6785,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = i + 8; o = b + 20; v = c + 10; y = 15; u = f + 1; d = v + 10; f = g + 18; c = m + 13; p = u + 10; b = p + 7; i = y + 13; m = e + 16; g = y + 10. If y = 15, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"w": "l + 7", "g": "w + 16", "p": "g + 5", "b": "p + 19", "e": "b + 7", "r": "e + 19", "m": "l + 13", "c": "m + 17", "x": "c + 18", "n": "x + 9", "v": "n + 3", "i": "v + 6", "l": 5}, "premises": {"l": 5}, "target": "r"}, "answer": {"steps": [["e", "b + 7", "b + 26"], ["b", "p + 19", "p + 45"], ["p", "g + 5", "g + 50"], ["g", "w + 16", "w + 66"], ["w", "l + 7", "l + 73"], ["l", 5, "78"]], "target_var_name": "r", "target_value": 78, "value_dict": {"l": 5}, "is_reverse": true}} | 6,786 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = n + 3; b = p + 19; e = b + 7; l = 5; r = e + 19; m = l + 13; i = v + 6; p = g + 5; w = l + 7; x = c + 18; n = x + 9; c = m + 17; g = w + 16. If l = 5, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = b + 7 to r, which gives r = b + 26.\n2. Substitute b = p + 19 to r, which gives r = p + 45.\n3. Substitute p = g + 5 to r, which gives r = g + 50.\n4. Substitute g = w + 16 to r, which gives r = w + 66.\n5. Substitute w = l + 7 to r, which gives r = l + 73.\n6. Substitute l = 5 to r, which gives r = 78.\n\nThus, the final answer is r = \\boxed{78}.",
"index": 6786,
"question": "Consider a system of variables where each variable is defined as follows: v = n + 3; b = p + 19; e = b + 7; l = 5; r = e + 19; m = l + 13; i = v + 6; p = g + 5; w = l + 7; x = c + 18; n = x + 9; c = m + 17; g = w + 16. If l = 5, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"o": "v + 4", "j": "o + 8", "n": "j + 7", "y": "n + 13", "a": "y + 6", "q": "a + 18", "p": "v + 5", "l": "p + 6", "e": "l + 11", "h": "e + 16", "b": "h + 15", "x": "b + 11", "v": 14}, "premises": {"v": 14}, "target": "q"}, "answer": {"steps": [["a", "y + 6", "y + 24"], ["y", "n + 13", "n + 37"], ["n", "j + 7", "j + 44"], ["j", "o + 8", "o + 52"], ["o", "v + 4", "v + 56"], ["v", 14, "70"]], "target_var_name": "q", "target_value": 70, "value_dict": {"v": 14}, "is_reverse": true}} | 6,787 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = l + 11; v = 14; j = o + 8; l = p + 6; p = v + 5; y = n + 13; b = h + 15; a = y + 6; n = j + 7; q = a + 18; h = e + 16; x = b + 11; o = v + 4. Given that v = 14, find the 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 a = y + 6 to q, which gives q = y + 24.\n2. Substitute y = n + 13 to q, which gives q = n + 37.\n3. Substitute n = j + 7 to q, which gives q = j + 44.\n4. Substitute j = o + 8 to q, which gives q = o + 52.\n5. Substitute o = v + 4 to q, which gives q = v + 56.\n6. Substitute v = 14 to q, which gives q = 70.\n\nThus, the final answer is q = \\boxed{70}.",
"index": 6787,
"question": "Suppose a collection of variables is related by the following definitions: e = l + 11; v = 14; j = o + 8; l = p + 6; p = v + 5; y = n + 13; b = h + 15; a = y + 6; n = j + 7; q = a + 18; h = e + 16; x = b + 11; o = v + 4. Given that v = 14, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"d": "v + 4", "z": "d + 15", "k": "z + 2", "n": "k + 10", "m": "n + 13", "u": "m + 7", "j": "v + 14", "o": "j + 15", "c": "o + 1", "e": "c + 19", "t": "e + 10", "i": "t + 12", "v": 5}, "premises": {"v": 5}, "target": "u"}, "answer": {"steps": [["m", "n + 13", "n + 20"], ["n", "k + 10", "k + 30"], ["k", "z + 2", "z + 32"], ["z", "d + 15", "d + 47"], ["d", "v + 4", "v + 51"], ["v", 5, "56"]], "target_var_name": "u", "target_value": 56, "value_dict": {"v": 5}, "is_reverse": true}} | 6,788 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = n + 13; k = z + 2; u = m + 7; i = t + 12; d = v + 4; o = j + 15; n = k + 10; c = o + 1; j = v + 14; e = c + 19; t = e + 10; z = d + 15; v = 5. If v = 5, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = n + 13 to u, which gives u = n + 20.\n2. Substitute n = k + 10 to u, which gives u = k + 30.\n3. Substitute k = z + 2 to u, which gives u = z + 32.\n4. Substitute z = d + 15 to u, which gives u = d + 47.\n5. Substitute d = v + 4 to u, which gives u = v + 51.\n6. Substitute v = 5 to u, which gives u = 56.\n\nThus, the final answer is u = \\boxed{56}.",
"index": 6788,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = n + 13; k = z + 2; u = m + 7; i = t + 12; d = v + 4; o = j + 15; n = k + 10; c = o + 1; j = v + 14; e = c + 19; t = e + 10; z = d + 15; v = 5. If v = 5, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"g": "b + 13", "v": "g + 9", "w": "v + 9", "h": "w + 9", "l": "h + 14", "m": "l + 7", "s": "b + 17", "t": "s + 1", "r": "t + 14", "c": "r + 17", "n": "c + 14", "j": "n + 9", "b": 4}, "premises": {"b": 4}, "target": "m"}, "answer": {"steps": [["l", "h + 14", "h + 21"], ["h", "w + 9", "w + 30"], ["w", "v + 9", "v + 39"], ["v", "g + 9", "g + 48"], ["g", "b + 13", "b + 61"], ["b", 4, "65"]], "target_var_name": "m", "target_value": 65, "value_dict": {"b": 4}, "is_reverse": true}} | 6,789 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = g + 9; j = n + 9; b = 4; w = v + 9; t = s + 1; h = w + 9; m = l + 7; g = b + 13; c = r + 17; s = b + 17; n = c + 14; r = t + 14; l = h + 14. Given that b = 4, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = h + 14 to m, which gives m = h + 21.\n2. Substitute h = w + 9 to m, which gives m = w + 30.\n3. Substitute w = v + 9 to m, which gives m = v + 39.\n4. Substitute v = g + 9 to m, which gives m = g + 48.\n5. Substitute g = b + 13 to m, which gives m = b + 61.\n6. Substitute b = 4 to m, which gives m = 65.\n\nThus, the final answer is m = \\boxed{65}.",
"index": 6789,
"question": "Suppose a collection of variables is related by the following definitions: v = g + 9; j = n + 9; b = 4; w = v + 9; t = s + 1; h = w + 9; m = l + 7; g = b + 13; c = r + 17; s = b + 17; n = c + 14; r = t + 14; l = h + 14. Given that b = 4, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"c": "i + 17", "z": "c + 19", "q": "z + 19", "m": "q + 18", "s": "m + 5", "g": "s + 5", "o": "i + 10", "v": "o + 1", "b": "v + 20", "e": "b + 1", "n": "e + 6", "w": "n + 9", "i": 2}, "premises": {"i": 2}, "target": "g"}, "answer": {"steps": [["s", "m + 5", "m + 10"], ["m", "q + 18", "q + 28"], ["q", "z + 19", "z + 47"], ["z", "c + 19", "c + 66"], ["c", "i + 17", "i + 83"], ["i", 2, "85"]], "target_var_name": "g", "target_value": 85, "value_dict": {"i": 2}, "is_reverse": true}} | 6,790 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = 2; o = i + 10; g = s + 5; w = n + 9; m = q + 18; q = z + 19; n = e + 6; s = m + 5; b = v + 20; z = c + 19; c = i + 17; e = b + 1; v = o + 1. If i = 2, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = m + 5 to g, which gives g = m + 10.\n2. Substitute m = q + 18 to g, which gives g = q + 28.\n3. Substitute q = z + 19 to g, which gives g = z + 47.\n4. Substitute z = c + 19 to g, which gives g = c + 66.\n5. Substitute c = i + 17 to g, which gives g = i + 83.\n6. Substitute i = 2 to g, which gives g = 85.\n\nThus, the final answer is g = \\boxed{85}.",
"index": 6790,
"question": "Consider a system of variables where each variable is defined as follows: i = 2; o = i + 10; g = s + 5; w = n + 9; m = q + 18; q = z + 19; n = e + 6; s = m + 5; b = v + 20; z = c + 19; c = i + 17; e = b + 1; v = o + 1. If i = 2, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"h": "b + 14", "c": "h + 10", "s": "c + 18", "p": "s + 18", "m": "p + 9", "k": "m + 1", "g": "b + 2", "n": "g + 10", "q": "n + 2", "f": "q + 11", "l": "f + 12", "u": "l + 18", "b": 17}, "premises": {"b": 17}, "target": "k"}, "answer": {"steps": [["m", "p + 9", "p + 10"], ["p", "s + 18", "s + 28"], ["s", "c + 18", "c + 46"], ["c", "h + 10", "h + 56"], ["h", "b + 14", "b + 70"], ["b", 17, "87"]], "target_var_name": "k", "target_value": 87, "value_dict": {"b": 17}, "is_reverse": true}} | 6,791 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = p + 9; h = b + 14; b = 17; f = q + 11; q = n + 2; c = h + 10; n = g + 10; l = f + 12; u = l + 18; s = c + 18; p = s + 18; g = b + 2; k = m + 1. If b = 17, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = p + 9 to k, which gives k = p + 10.\n2. Substitute p = s + 18 to k, which gives k = s + 28.\n3. Substitute s = c + 18 to k, which gives k = c + 46.\n4. Substitute c = h + 10 to k, which gives k = h + 56.\n5. Substitute h = b + 14 to k, which gives k = b + 70.\n6. Substitute b = 17 to k, which gives k = 87.\n\nThus, the final answer is k = \\boxed{87}.",
"index": 6791,
"question": "Consider a system of variables where each variable is defined as follows: m = p + 9; h = b + 14; b = 17; f = q + 11; q = n + 2; c = h + 10; n = g + 10; l = f + 12; u = l + 18; s = c + 18; p = s + 18; g = b + 2; k = m + 1. If b = 17, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"k": "f + 17", "q": "k + 8", "a": "q + 1", "y": "a + 8", "x": "y + 11", "z": "x + 6", "l": "f + 19", "t": "l + 14", "b": "t + 7", "n": "b + 3", "c": "n + 1", "p": "c + 6", "f": 17}, "premises": {"f": 17}, "target": "z"}, "answer": {"steps": [["x", "y + 11", "y + 17"], ["y", "a + 8", "a + 25"], ["a", "q + 1", "q + 26"], ["q", "k + 8", "k + 34"], ["k", "f + 17", "f + 51"], ["f", 17, "68"]], "target_var_name": "z", "target_value": 68, "value_dict": {"f": 17}, "is_reverse": true}} | 6,792 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = 17; a = q + 1; x = y + 11; c = n + 1; l = f + 19; q = k + 8; k = f + 17; t = l + 14; p = c + 6; b = t + 7; y = a + 8; z = x + 6; n = b + 3. Given that f = 17, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = y + 11 to z, which gives z = y + 17.\n2. Substitute y = a + 8 to z, which gives z = a + 25.\n3. Substitute a = q + 1 to z, which gives z = q + 26.\n4. Substitute q = k + 8 to z, which gives z = k + 34.\n5. Substitute k = f + 17 to z, which gives z = f + 51.\n6. Substitute f = 17 to z, which gives z = 68.\n\nThus, the final answer is z = \\boxed{68}.",
"index": 6792,
"question": "Suppose a collection of variables is related by the following definitions: f = 17; a = q + 1; x = y + 11; c = n + 1; l = f + 19; q = k + 8; k = f + 17; t = l + 14; p = c + 6; b = t + 7; y = a + 8; z = x + 6; n = b + 3. Given that f = 17, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"a": "w + 20", "o": "a + 18", "m": "o + 13", "z": "m + 17", "t": "z + 9", "g": "t + 8", "j": "w + 17", "n": "j + 9", "i": "n + 18", "b": "i + 2", "h": "b + 1", "r": "h + 12", "w": 6}, "premises": {"w": 6}, "target": "g"}, "answer": {"steps": [["t", "z + 9", "z + 17"], ["z", "m + 17", "m + 34"], ["m", "o + 13", "o + 47"], ["o", "a + 18", "a + 65"], ["a", "w + 20", "w + 85"], ["w", 6, "91"]], "target_var_name": "g", "target_value": 91, "value_dict": {"w": 6}, "is_reverse": true}} | 6,793 | 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 = b + 1; i = n + 18; m = o + 13; b = i + 2; t = z + 9; r = h + 12; o = a + 18; g = t + 8; n = j + 9; z = m + 17; a = w + 20; w = 6; j = w + 17. If w = 6, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = z + 9 to g, which gives g = z + 17.\n2. Substitute z = m + 17 to g, which gives g = m + 34.\n3. Substitute m = o + 13 to g, which gives g = o + 47.\n4. Substitute o = a + 18 to g, which gives g = a + 65.\n5. Substitute a = w + 20 to g, which gives g = w + 85.\n6. Substitute w = 6 to g, which gives g = 91.\n\nThus, the final answer is g = \\boxed{91}.",
"index": 6793,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = b + 1; i = n + 18; m = o + 13; b = i + 2; t = z + 9; r = h + 12; o = a + 18; g = t + 8; n = j + 9; z = m + 17; a = w + 20; w = 6; j = w + 17. If w = 6, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"g": "a + 3", "t": "g + 20", "l": "t + 10", "m": "l + 3", "n": "m + 20", "v": "n + 12", "f": "a + 1", "z": "f + 11", "y": "z + 9", "h": "y + 17", "u": "h + 15", "d": "u + 19", "a": 14}, "premises": {"a": 14}, "target": "v"}, "answer": {"steps": [["n", "m + 20", "m + 32"], ["m", "l + 3", "l + 35"], ["l", "t + 10", "t + 45"], ["t", "g + 20", "g + 65"], ["g", "a + 3", "a + 68"], ["a", 14, "82"]], "target_var_name": "v", "target_value": 82, "value_dict": {"a": 14}, "is_reverse": true}} | 6,794 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = l + 3; l = t + 10; d = u + 19; u = h + 15; f = a + 1; g = a + 3; a = 14; v = n + 12; t = g + 20; z = f + 11; n = m + 20; y = z + 9; h = y + 17. If a = 14, 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 n = m + 20 to v, which gives v = m + 32.\n2. Substitute m = l + 3 to v, which gives v = l + 35.\n3. Substitute l = t + 10 to v, which gives v = t + 45.\n4. Substitute t = g + 20 to v, which gives v = g + 65.\n5. Substitute g = a + 3 to v, which gives v = a + 68.\n6. Substitute a = 14 to v, which gives v = 82.\n\nThus, the final answer is v = \\boxed{82}.",
"index": 6794,
"question": "Consider a system of variables where each variable is defined as follows: m = l + 3; l = t + 10; d = u + 19; u = h + 15; f = a + 1; g = a + 3; a = 14; v = n + 12; t = g + 20; z = f + 11; n = m + 20; y = z + 9; h = y + 17. If a = 14, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"x": "y + 15", "m": "x + 11", "r": "m + 7", "g": "r + 3", "n": "g + 11", "t": "n + 5", "b": "y + 8", "q": "b + 12", "i": "q + 13", "o": "i + 17", "j": "o + 17", "u": "j + 1", "y": 10}, "premises": {"y": 10}, "target": "t"}, "answer": {"steps": [["n", "g + 11", "g + 16"], ["g", "r + 3", "r + 19"], ["r", "m + 7", "m + 26"], ["m", "x + 11", "x + 37"], ["x", "y + 15", "y + 52"], ["y", 10, "62"]], "target_var_name": "t", "target_value": 62, "value_dict": {"y": 10}, "is_reverse": true}} | 6,795 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = 10; r = m + 7; x = y + 15; u = j + 1; t = n + 5; m = x + 11; o = i + 17; j = o + 17; i = q + 13; g = r + 3; b = y + 8; n = g + 11; q = b + 12. If y = 10, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = g + 11 to t, which gives t = g + 16.\n2. Substitute g = r + 3 to t, which gives t = r + 19.\n3. Substitute r = m + 7 to t, which gives t = m + 26.\n4. Substitute m = x + 11 to t, which gives t = x + 37.\n5. Substitute x = y + 15 to t, which gives t = y + 52.\n6. Substitute y = 10 to t, which gives t = 62.\n\nThus, the final answer is t = \\boxed{62}.",
"index": 6795,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = 10; r = m + 7; x = y + 15; u = j + 1; t = n + 5; m = x + 11; o = i + 17; j = o + 17; i = q + 13; g = r + 3; b = y + 8; n = g + 11; q = b + 12. If y = 10, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"j": "v + 20", "e": "j + 9", "g": "e + 16", "f": "g + 3", "p": "f + 16", "m": "p + 5", "z": "v + 20", "i": "z + 16", "l": "i + 3", "d": "l + 8", "u": "d + 20", "t": "u + 13", "v": 12}, "premises": {"v": 12}, "target": "m"}, "answer": {"steps": [["p", "f + 16", "f + 21"], ["f", "g + 3", "g + 24"], ["g", "e + 16", "e + 40"], ["e", "j + 9", "j + 49"], ["j", "v + 20", "v + 69"], ["v", 12, "81"]], "target_var_name": "m", "target_value": 81, "value_dict": {"v": 12}, "is_reverse": true}} | 6,796 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = l + 8; f = g + 3; l = i + 3; u = d + 20; m = p + 5; v = 12; t = u + 13; e = j + 9; g = e + 16; j = v + 20; i = z + 16; p = f + 16; z = v + 20. If v = 12, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = f + 16 to m, which gives m = f + 21.\n2. Substitute f = g + 3 to m, which gives m = g + 24.\n3. Substitute g = e + 16 to m, which gives m = e + 40.\n4. Substitute e = j + 9 to m, which gives m = j + 49.\n5. Substitute j = v + 20 to m, which gives m = v + 69.\n6. Substitute v = 12 to m, which gives m = 81.\n\nThus, the final answer is m = \\boxed{81}.",
"index": 6796,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = l + 8; f = g + 3; l = i + 3; u = d + 20; m = p + 5; v = 12; t = u + 13; e = j + 9; g = e + 16; j = v + 20; i = z + 16; p = f + 16; z = v + 20. If v = 12, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"y": "s + 6", "q": "y + 3", "w": "q + 14", "p": "w + 15", "t": "p + 3", "b": "t + 19", "i": "s + 4", "d": "i + 2", "o": "d + 20", "c": "o + 1", "g": "c + 19", "h": "g + 12", "s": 10}, "premises": {"s": 10}, "target": "b"}, "answer": {"steps": [["t", "p + 3", "p + 22"], ["p", "w + 15", "w + 37"], ["w", "q + 14", "q + 51"], ["q", "y + 3", "y + 54"], ["y", "s + 6", "s + 60"], ["s", 10, "70"]], "target_var_name": "b", "target_value": 70, "value_dict": {"s": 10}, "is_reverse": true}} | 6,797 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = d + 20; g = c + 19; y = s + 6; c = o + 1; d = i + 2; i = s + 4; h = g + 12; t = p + 3; s = 10; p = w + 15; b = t + 19; w = q + 14; q = y + 3. If s = 10, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = p + 3 to b, which gives b = p + 22.\n2. Substitute p = w + 15 to b, which gives b = w + 37.\n3. Substitute w = q + 14 to b, which gives b = q + 51.\n4. Substitute q = y + 3 to b, which gives b = y + 54.\n5. Substitute y = s + 6 to b, which gives b = s + 60.\n6. Substitute s = 10 to b, which gives b = 70.\n\nThus, the final answer is b = \\boxed{70}.",
"index": 6797,
"question": "Consider a system of variables where each variable is defined as follows: o = d + 20; g = c + 19; y = s + 6; c = o + 1; d = i + 2; i = s + 4; h = g + 12; t = p + 3; s = 10; p = w + 15; b = t + 19; w = q + 14; q = y + 3. If s = 10, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"o": "p + 15", "g": "o + 2", "u": "g + 16", "r": "u + 12", "i": "r + 14", "k": "i + 11", "f": "p + 9", "h": "f + 20", "y": "h + 15", "j": "y + 7", "c": "j + 8", "d": "c + 9", "p": 3}, "premises": {"p": 3}, "target": "k"}, "answer": {"steps": [["i", "r + 14", "r + 25"], ["r", "u + 12", "u + 37"], ["u", "g + 16", "g + 53"], ["g", "o + 2", "o + 55"], ["o", "p + 15", "p + 70"], ["p", 3, "73"]], "target_var_name": "k", "target_value": 73, "value_dict": {"p": 3}, "is_reverse": true}} | 6,798 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = 3; o = p + 15; y = h + 15; d = c + 9; g = o + 2; j = y + 7; i = r + 14; h = f + 20; u = g + 16; f = p + 9; c = j + 8; r = u + 12; k = i + 11. If p = 3, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = r + 14 to k, which gives k = r + 25.\n2. Substitute r = u + 12 to k, which gives k = u + 37.\n3. Substitute u = g + 16 to k, which gives k = g + 53.\n4. Substitute g = o + 2 to k, which gives k = o + 55.\n5. Substitute o = p + 15 to k, which gives k = p + 70.\n6. Substitute p = 3 to k, which gives k = 73.\n\nThus, the final answer is k = \\boxed{73}.",
"index": 6798,
"question": "Consider a system of variables where each variable is defined as follows: p = 3; o = p + 15; y = h + 15; d = c + 9; g = o + 2; j = y + 7; i = r + 14; h = f + 20; u = g + 16; f = p + 9; c = j + 8; r = u + 12; k = i + 11. If p = 3, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"h": "d + 3", "y": "h + 6", "c": "y + 20", "n": "c + 13", "b": "n + 20", "z": "b + 11", "w": "d + 7", "t": "w + 7", "j": "t + 20", "r": "j + 19", "i": "r + 6", "x": "i + 1", "d": 2}, "premises": {"d": 2}, "target": "z"}, "answer": {"steps": [["b", "n + 20", "n + 31"], ["n", "c + 13", "c + 44"], ["c", "y + 20", "y + 64"], ["y", "h + 6", "h + 70"], ["h", "d + 3", "d + 73"], ["d", 2, "75"]], "target_var_name": "z", "target_value": 75, "value_dict": {"d": 2}, "is_reverse": true}} | 6,799 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = r + 6; h = d + 3; b = n + 20; z = b + 11; y = h + 6; r = j + 19; j = t + 20; d = 2; t = w + 7; x = i + 1; c = y + 20; w = d + 7; n = c + 13. If d = 2, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = n + 20 to z, which gives z = n + 31.\n2. Substitute n = c + 13 to z, which gives z = c + 44.\n3. Substitute c = y + 20 to z, which gives z = y + 64.\n4. Substitute y = h + 6 to z, which gives z = h + 70.\n5. Substitute h = d + 3 to z, which gives z = d + 73.\n6. Substitute d = 2 to z, which gives z = 75.\n\nThus, the final answer is z = \\boxed{75}.",
"index": 6799,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = r + 6; h = d + 3; b = n + 20; z = b + 11; y = h + 6; r = j + 19; j = t + 20; d = 2; t = w + 7; x = i + 1; c = y + 20; w = d + 7; n = c + 13. If d = 2, what is the resulting value of z?",
"split": "train"
} |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.