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": {"b": "l + 16", "j": "b + 20", "c": "j + 15", "d": "c + 19", "s": "d + 12", "n": "s + 18", "u": "l + 3", "i": "u + 15", "y": "i + 7", "q": "y + 2", "k": "q + 13", "t": "k + 7", "l": 20}, "premises": {"l": 20}, "target": "n"}, "answer": {"steps": [["s", "d + 12", "d + 30"], ["d", "c + 19", "c + 49"], ["c", "j + 15", "j + 64"], ["j", "b + 20", "b + 84"], ["b", "l + 16", "l + 100"], ["l", 20, "120"]], "target_var_name": "n", "target_value": 120, "value_dict": {"l": 20}, "is_reverse": true}} | 11,400 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = l + 16; u = l + 3; d = c + 19; y = i + 7; i = u + 15; c = j + 15; s = d + 12; j = b + 20; q = y + 2; l = 20; t = k + 7; n = s + 18; k = q + 13. Given that l = 20, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 120,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = d + 12 to n, which gives n = d + 30.\n2. Substitute d = c + 19 to n, which gives n = c + 49.\n3. Substitute c = j + 15 to n, which gives n = j + 64.\n4. Substitute j = b + 20 to n, which gives n = b + 84.\n5. Substitute b = l + 16 to n, which gives n = l + 100.\n6. Substitute l = 20 to n, which gives n = 120.\n\nThus, the final answer is n = \\boxed{120}.",
"index": 11400,
"question": "Suppose a collection of variables is related by the following definitions: b = l + 16; u = l + 3; d = c + 19; y = i + 7; i = u + 15; c = j + 15; s = d + 12; j = b + 20; q = y + 2; l = 20; t = k + 7; n = s + 18; k = q + 13. Given that l = 20, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"u": "y + 16", "h": "u + 18", "f": "h + 9", "k": "f + 8", "b": "k + 16", "d": "b + 14", "r": "y + 2", "m": "r + 13", "i": "m + 8", "n": "i + 14", "e": "n + 4", "t": "e + 3", "y": 11}, "premises": {"y": 11}, "target": "d"}, "answer": {"steps": [["b", "k + 16", "k + 30"], ["k", "f + 8", "f + 38"], ["f", "h + 9", "h + 47"], ["h", "u + 18", "u + 65"], ["u", "y + 16", "y + 81"], ["y", 11, "92"]], "target_var_name": "d", "target_value": 92, "value_dict": {"y": 11}, "is_reverse": true}} | 11,401 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = k + 16; n = i + 14; r = y + 2; h = u + 18; m = r + 13; f = h + 9; k = f + 8; d = b + 14; i = m + 8; u = y + 16; y = 11; e = n + 4; t = e + 3. If y = 11, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = k + 16 to d, which gives d = k + 30.\n2. Substitute k = f + 8 to d, which gives d = f + 38.\n3. Substitute f = h + 9 to d, which gives d = h + 47.\n4. Substitute h = u + 18 to d, which gives d = u + 65.\n5. Substitute u = y + 16 to d, which gives d = y + 81.\n6. Substitute y = 11 to d, which gives d = 92.\n\nThus, the final answer is d = \\boxed{92}.",
"index": 11401,
"question": "Consider a system of variables where each variable is defined as follows: b = k + 16; n = i + 14; r = y + 2; h = u + 18; m = r + 13; f = h + 9; k = f + 8; d = b + 14; i = m + 8; u = y + 16; y = 11; e = n + 4; t = e + 3. If y = 11, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"a": "i + 4", "p": "a + 3", "m": "p + 18", "e": "m + 11", "d": "e + 10", "u": "d + 12", "r": "i + 18", "c": "r + 8", "g": "c + 13", "f": "g + 12", "b": "f + 2", "x": "b + 3", "i": 19}, "premises": {"i": 19}, "target": "u"}, "answer": {"steps": [["d", "e + 10", "e + 22"], ["e", "m + 11", "m + 33"], ["m", "p + 18", "p + 51"], ["p", "a + 3", "a + 54"], ["a", "i + 4", "i + 58"], ["i", 19, "77"]], "target_var_name": "u", "target_value": 77, "value_dict": {"i": 19}, "is_reverse": true}} | 11,402 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = i + 18; i = 19; c = r + 8; b = f + 2; a = i + 4; x = b + 3; f = g + 12; m = p + 18; g = c + 13; e = m + 11; d = e + 10; p = a + 3; u = d + 12. Given that i = 19, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = e + 10 to u, which gives u = e + 22.\n2. Substitute e = m + 11 to u, which gives u = m + 33.\n3. Substitute m = p + 18 to u, which gives u = p + 51.\n4. Substitute p = a + 3 to u, which gives u = a + 54.\n5. Substitute a = i + 4 to u, which gives u = i + 58.\n6. Substitute i = 19 to u, which gives u = 77.\n\nThus, the final answer is u = \\boxed{77}.",
"index": 11402,
"question": "Suppose a collection of variables is related by the following definitions: r = i + 18; i = 19; c = r + 8; b = f + 2; a = i + 4; x = b + 3; f = g + 12; m = p + 18; g = c + 13; e = m + 11; d = e + 10; p = a + 3; u = d + 12. Given that i = 19, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"z": "u + 8", "j": "z + 15", "l": "j + 13", "d": "l + 16", "c": "d + 3", "q": "c + 8", "n": "u + 14", "i": "n + 7", "f": "i + 3", "r": "f + 9", "x": "r + 4", "o": "x + 10", "u": 8}, "premises": {"u": 8}, "target": "q"}, "answer": {"steps": [["c", "d + 3", "d + 11"], ["d", "l + 16", "l + 27"], ["l", "j + 13", "j + 40"], ["j", "z + 15", "z + 55"], ["z", "u + 8", "u + 63"], ["u", 8, "71"]], "target_var_name": "q", "target_value": 71, "value_dict": {"u": 8}, "is_reverse": true}} | 11,403 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = i + 3; d = l + 16; c = d + 3; u = 8; n = u + 14; l = j + 13; j = z + 15; z = u + 8; r = f + 9; o = x + 10; i = n + 7; q = c + 8; x = r + 4. If u = 8, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = d + 3 to q, which gives q = d + 11.\n2. Substitute d = l + 16 to q, which gives q = l + 27.\n3. Substitute l = j + 13 to q, which gives q = j + 40.\n4. Substitute j = z + 15 to q, which gives q = z + 55.\n5. Substitute z = u + 8 to q, which gives q = u + 63.\n6. Substitute u = 8 to q, which gives q = 71.\n\nThus, the final answer is q = \\boxed{71}.",
"index": 11403,
"question": "Consider a system of variables where each variable is defined as follows: f = i + 3; d = l + 16; c = d + 3; u = 8; n = u + 14; l = j + 13; j = z + 15; z = u + 8; r = f + 9; o = x + 10; i = n + 7; q = c + 8; x = r + 4. If u = 8, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"g": "w + 20", "u": "g + 17", "l": "u + 8", "o": "l + 16", "m": "o + 8", "y": "m + 19", "r": "w + 13", "a": "r + 10", "d": "a + 17", "p": "d + 15", "z": "p + 6", "k": "z + 6", "w": 3}, "premises": {"w": 3}, "target": "y"}, "answer": {"steps": [["m", "o + 8", "o + 27"], ["o", "l + 16", "l + 43"], ["l", "u + 8", "u + 51"], ["u", "g + 17", "g + 68"], ["g", "w + 20", "w + 88"], ["w", 3, "91"]], "target_var_name": "y", "target_value": 91, "value_dict": {"w": 3}, "is_reverse": true}} | 11,404 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = l + 16; z = p + 6; l = u + 8; k = z + 6; m = o + 8; g = w + 20; w = 3; r = w + 13; d = a + 17; p = d + 15; y = m + 19; u = g + 17; a = r + 10. If w = 3, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = o + 8 to y, which gives y = o + 27.\n2. Substitute o = l + 16 to y, which gives y = l + 43.\n3. Substitute l = u + 8 to y, which gives y = u + 51.\n4. Substitute u = g + 17 to y, which gives y = g + 68.\n5. Substitute g = w + 20 to y, which gives y = w + 88.\n6. Substitute w = 3 to y, which gives y = 91.\n\nThus, the final answer is y = \\boxed{91}.",
"index": 11404,
"question": "Consider a system of variables where each variable is defined as follows: o = l + 16; z = p + 6; l = u + 8; k = z + 6; m = o + 8; g = w + 20; w = 3; r = w + 13; d = a + 17; p = d + 15; y = m + 19; u = g + 17; a = r + 10. If w = 3, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"l": "i + 20", "x": "l + 12", "z": "x + 18", "b": "z + 10", "w": "b + 2", "s": "w + 9", "v": "i + 9", "j": "v + 19", "m": "j + 9", "u": "m + 3", "h": "u + 10", "q": "h + 11", "i": 14}, "premises": {"i": 14}, "target": "s"}, "answer": {"steps": [["w", "b + 2", "b + 11"], ["b", "z + 10", "z + 21"], ["z", "x + 18", "x + 39"], ["x", "l + 12", "l + 51"], ["l", "i + 20", "i + 71"], ["i", 14, "85"]], "target_var_name": "s", "target_value": 85, "value_dict": {"i": 14}, "is_reverse": true}} | 11,405 | 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 = m + 3; m = j + 9; w = b + 2; b = z + 10; h = u + 10; z = x + 18; q = h + 11; x = l + 12; i = 14; j = v + 19; s = w + 9; l = i + 20; v = i + 9. If i = 14, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = b + 2 to s, which gives s = b + 11.\n2. Substitute b = z + 10 to s, which gives s = z + 21.\n3. Substitute z = x + 18 to s, which gives s = x + 39.\n4. Substitute x = l + 12 to s, which gives s = l + 51.\n5. Substitute l = i + 20 to s, which gives s = i + 71.\n6. Substitute i = 14 to s, which gives s = 85.\n\nThus, the final answer is s = \\boxed{85}.",
"index": 11405,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = m + 3; m = j + 9; w = b + 2; b = z + 10; h = u + 10; z = x + 18; q = h + 11; x = l + 12; i = 14; j = v + 19; s = w + 9; l = i + 20; v = i + 9. If i = 14, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"d": "m + 8", "o": "d + 9", "x": "o + 20", "h": "x + 7", "l": "h + 18", "g": "l + 20", "e": "m + 15", "u": "e + 15", "v": "u + 20", "k": "v + 9", "y": "k + 5", "c": "y + 4", "m": 4}, "premises": {"m": 4}, "target": "g"}, "answer": {"steps": [["l", "h + 18", "h + 38"], ["h", "x + 7", "x + 45"], ["x", "o + 20", "o + 65"], ["o", "d + 9", "d + 74"], ["d", "m + 8", "m + 82"], ["m", 4, "86"]], "target_var_name": "g", "target_value": 86, "value_dict": {"m": 4}, "is_reverse": true}} | 11,406 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = v + 9; v = u + 20; h = x + 7; l = h + 18; c = y + 4; u = e + 15; y = k + 5; e = m + 15; x = o + 20; d = m + 8; m = 4; g = l + 20; o = d + 9. Given that m = 4, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = h + 18 to g, which gives g = h + 38.\n2. Substitute h = x + 7 to g, which gives g = x + 45.\n3. Substitute x = o + 20 to g, which gives g = o + 65.\n4. Substitute o = d + 9 to g, which gives g = d + 74.\n5. Substitute d = m + 8 to g, which gives g = m + 82.\n6. Substitute m = 4 to g, which gives g = 86.\n\nThus, the final answer is g = \\boxed{86}.",
"index": 11406,
"question": "Suppose a collection of variables is related by the following definitions: k = v + 9; v = u + 20; h = x + 7; l = h + 18; c = y + 4; u = e + 15; y = k + 5; e = m + 15; x = o + 20; d = m + 8; m = 4; g = l + 20; o = d + 9. Given that m = 4, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"o": "r + 11", "l": "o + 9", "b": "l + 19", "h": "b + 14", "y": "h + 12", "m": "y + 18", "q": "r + 6", "c": "q + 3", "w": "c + 1", "f": "w + 4", "s": "f + 7", "z": "s + 13", "r": 18}, "premises": {"r": 18}, "target": "m"}, "answer": {"steps": [["y", "h + 12", "h + 30"], ["h", "b + 14", "b + 44"], ["b", "l + 19", "l + 63"], ["l", "o + 9", "o + 72"], ["o", "r + 11", "r + 83"], ["r", 18, "101"]], "target_var_name": "m", "target_value": 101, "value_dict": {"r": 18}, "is_reverse": true}} | 11,407 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = b + 14; c = q + 3; l = o + 9; b = l + 19; z = s + 13; r = 18; q = r + 6; o = r + 11; f = w + 4; w = c + 1; s = f + 7; m = y + 18; y = h + 12. Given that r = 18, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = h + 12 to m, which gives m = h + 30.\n2. Substitute h = b + 14 to m, which gives m = b + 44.\n3. Substitute b = l + 19 to m, which gives m = l + 63.\n4. Substitute l = o + 9 to m, which gives m = o + 72.\n5. Substitute o = r + 11 to m, which gives m = r + 83.\n6. Substitute r = 18 to m, which gives m = 101.\n\nThus, the final answer is m = \\boxed{101}.",
"index": 11407,
"question": "Suppose a collection of variables is related by the following definitions: h = b + 14; c = q + 3; l = o + 9; b = l + 19; z = s + 13; r = 18; q = r + 6; o = r + 11; f = w + 4; w = c + 1; s = f + 7; m = y + 18; y = h + 12. Given that r = 18, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"p": "g + 14", "t": "p + 9", "i": "t + 20", "o": "i + 17", "y": "o + 10", "d": "y + 10", "a": "g + 8", "h": "a + 4", "v": "h + 16", "k": "v + 2", "z": "k + 2", "b": "z + 6", "g": 15}, "premises": {"g": 15}, "target": "d"}, "answer": {"steps": [["y", "o + 10", "o + 20"], ["o", "i + 17", "i + 37"], ["i", "t + 20", "t + 57"], ["t", "p + 9", "p + 66"], ["p", "g + 14", "g + 80"], ["g", 15, "95"]], "target_var_name": "d", "target_value": 95, "value_dict": {"g": 15}, "is_reverse": true}} | 11,408 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = k + 2; g = 15; v = h + 16; p = g + 14; h = a + 4; o = i + 17; b = z + 6; a = g + 8; d = y + 10; y = o + 10; t = p + 9; i = t + 20; k = v + 2. Given that g = 15, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = o + 10 to d, which gives d = o + 20.\n2. Substitute o = i + 17 to d, which gives d = i + 37.\n3. Substitute i = t + 20 to d, which gives d = t + 57.\n4. Substitute t = p + 9 to d, which gives d = p + 66.\n5. Substitute p = g + 14 to d, which gives d = g + 80.\n6. Substitute g = 15 to d, which gives d = 95.\n\nThus, the final answer is d = \\boxed{95}.",
"index": 11408,
"question": "Suppose a collection of variables is related by the following definitions: z = k + 2; g = 15; v = h + 16; p = g + 14; h = a + 4; o = i + 17; b = z + 6; a = g + 8; d = y + 10; y = o + 10; t = p + 9; i = t + 20; k = v + 2. Given that g = 15, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"a": "o + 5", "g": "a + 5", "q": "g + 12", "d": "q + 13", "f": "d + 7", "e": "f + 5", "v": "o + 9", "n": "v + 3", "j": "n + 6", "b": "j + 4", "l": "b + 7", "i": "l + 11", "o": 8}, "premises": {"o": 8}, "target": "e"}, "answer": {"steps": [["f", "d + 7", "d + 12"], ["d", "q + 13", "q + 25"], ["q", "g + 12", "g + 37"], ["g", "a + 5", "a + 42"], ["a", "o + 5", "o + 47"], ["o", 8, "55"]], "target_var_name": "e", "target_value": 55, "value_dict": {"o": 8}, "is_reverse": true}} | 11,409 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = n + 6; f = d + 7; l = b + 7; v = o + 9; b = j + 4; g = a + 5; e = f + 5; q = g + 12; n = v + 3; o = 8; i = l + 11; a = o + 5; d = q + 13. Given that o = 8, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = d + 7 to e, which gives e = d + 12.\n2. Substitute d = q + 13 to e, which gives e = q + 25.\n3. Substitute q = g + 12 to e, which gives e = g + 37.\n4. Substitute g = a + 5 to e, which gives e = a + 42.\n5. Substitute a = o + 5 to e, which gives e = o + 47.\n6. Substitute o = 8 to e, which gives e = 55.\n\nThus, the final answer is e = \\boxed{55}.",
"index": 11409,
"question": "Suppose a collection of variables is related by the following definitions: j = n + 6; f = d + 7; l = b + 7; v = o + 9; b = j + 4; g = a + 5; e = f + 5; q = g + 12; n = v + 3; o = 8; i = l + 11; a = o + 5; d = q + 13. Given that o = 8, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"i": "c + 12", "t": "i + 9", "s": "t + 20", "d": "s + 6", "u": "d + 17", "f": "u + 4", "p": "c + 9", "y": "p + 10", "g": "y + 11", "m": "g + 1", "w": "m + 19", "x": "w + 16", "c": 7}, "premises": {"c": 7}, "target": "f"}, "answer": {"steps": [["u", "d + 17", "d + 21"], ["d", "s + 6", "s + 27"], ["s", "t + 20", "t + 47"], ["t", "i + 9", "i + 56"], ["i", "c + 12", "c + 68"], ["c", 7, "75"]], "target_var_name": "f", "target_value": 75, "value_dict": {"c": 7}, "is_reverse": true}} | 11,410 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = c + 12; w = m + 19; g = y + 11; p = c + 9; x = w + 16; d = s + 6; f = u + 4; s = t + 20; y = p + 10; t = i + 9; c = 7; u = d + 17; m = g + 1. If c = 7, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = d + 17 to f, which gives f = d + 21.\n2. Substitute d = s + 6 to f, which gives f = s + 27.\n3. Substitute s = t + 20 to f, which gives f = t + 47.\n4. Substitute t = i + 9 to f, which gives f = i + 56.\n5. Substitute i = c + 12 to f, which gives f = c + 68.\n6. Substitute c = 7 to f, which gives f = 75.\n\nThus, the final answer is f = \\boxed{75}.",
"index": 11410,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = c + 12; w = m + 19; g = y + 11; p = c + 9; x = w + 16; d = s + 6; f = u + 4; s = t + 20; y = p + 10; t = i + 9; c = 7; u = d + 17; m = g + 1. If c = 7, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"i": "c + 5", "w": "i + 13", "p": "w + 13", "v": "p + 13", "s": "v + 13", "h": "s + 6", "b": "c + 5", "z": "b + 4", "l": "z + 20", "k": "l + 8", "j": "k + 13", "g": "j + 16", "c": 3}, "premises": {"c": 3}, "target": "h"}, "answer": {"steps": [["s", "v + 13", "v + 19"], ["v", "p + 13", "p + 32"], ["p", "w + 13", "w + 45"], ["w", "i + 13", "i + 58"], ["i", "c + 5", "c + 63"], ["c", 3, "66"]], "target_var_name": "h", "target_value": 66, "value_dict": {"c": 3}, "is_reverse": true}} | 11,411 | 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 + 13; i = c + 5; v = p + 13; k = l + 8; b = c + 5; s = v + 13; g = j + 16; j = k + 13; z = b + 4; l = z + 20; h = s + 6; w = i + 13; c = 3. If c = 3, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = v + 13 to h, which gives h = v + 19.\n2. Substitute v = p + 13 to h, which gives h = p + 32.\n3. Substitute p = w + 13 to h, which gives h = w + 45.\n4. Substitute w = i + 13 to h, which gives h = i + 58.\n5. Substitute i = c + 5 to h, which gives h = c + 63.\n6. Substitute c = 3 to h, which gives h = 66.\n\nThus, the final answer is h = \\boxed{66}.",
"index": 11411,
"question": "Consider a system of variables where each variable is defined as follows: p = w + 13; i = c + 5; v = p + 13; k = l + 8; b = c + 5; s = v + 13; g = j + 16; j = k + 13; z = b + 4; l = z + 20; h = s + 6; w = i + 13; c = 3. If c = 3, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"n": "m + 17", "o": "n + 4", "j": "o + 7", "w": "j + 5", "l": "w + 1", "y": "l + 13", "x": "m + 19", "z": "x + 2", "c": "z + 5", "v": "c + 8", "u": "v + 7", "k": "u + 16", "m": 14}, "premises": {"m": 14}, "target": "y"}, "answer": {"steps": [["l", "w + 1", "w + 14"], ["w", "j + 5", "j + 19"], ["j", "o + 7", "o + 26"], ["o", "n + 4", "n + 30"], ["n", "m + 17", "m + 47"], ["m", 14, "61"]], "target_var_name": "y", "target_value": 61, "value_dict": {"m": 14}, "is_reverse": true}} | 11,412 | 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 = v + 7; l = w + 1; v = c + 8; c = z + 5; z = x + 2; n = m + 17; x = m + 19; j = o + 7; w = j + 5; y = l + 13; o = n + 4; m = 14; k = u + 16. If m = 14, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = w + 1 to y, which gives y = w + 14.\n2. Substitute w = j + 5 to y, which gives y = j + 19.\n3. Substitute j = o + 7 to y, which gives y = o + 26.\n4. Substitute o = n + 4 to y, which gives y = n + 30.\n5. Substitute n = m + 17 to y, which gives y = m + 47.\n6. Substitute m = 14 to y, which gives y = 61.\n\nThus, the final answer is y = \\boxed{61}.",
"index": 11412,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = v + 7; l = w + 1; v = c + 8; c = z + 5; z = x + 2; n = m + 17; x = m + 19; j = o + 7; w = j + 5; y = l + 13; o = n + 4; m = 14; k = u + 16. If m = 14, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"l": "d + 20", "s": "l + 17", "w": "s + 17", "v": "w + 19", "x": "v + 20", "z": "x + 10", "n": "d + 14", "o": "n + 20", "q": "o + 14", "a": "q + 7", "m": "a + 1", "f": "m + 7", "d": 9}, "premises": {"d": 9}, "target": "z"}, "answer": {"steps": [["x", "v + 20", "v + 30"], ["v", "w + 19", "w + 49"], ["w", "s + 17", "s + 66"], ["s", "l + 17", "l + 83"], ["l", "d + 20", "d + 103"], ["d", 9, "112"]], "target_var_name": "z", "target_value": 112, "value_dict": {"d": 9}, "is_reverse": true}} | 11,413 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = v + 20; s = l + 17; q = o + 14; l = d + 20; n = d + 14; o = n + 20; a = q + 7; v = w + 19; z = x + 10; w = s + 17; d = 9; f = m + 7; m = a + 1. If d = 9, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 112,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = v + 20 to z, which gives z = v + 30.\n2. Substitute v = w + 19 to z, which gives z = w + 49.\n3. Substitute w = s + 17 to z, which gives z = s + 66.\n4. Substitute s = l + 17 to z, which gives z = l + 83.\n5. Substitute l = d + 20 to z, which gives z = d + 103.\n6. Substitute d = 9 to z, which gives z = 112.\n\nThus, the final answer is z = \\boxed{112}.",
"index": 11413,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = v + 20; s = l + 17; q = o + 14; l = d + 20; n = d + 14; o = n + 20; a = q + 7; v = w + 19; z = x + 10; w = s + 17; d = 9; f = m + 7; m = a + 1. If d = 9, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"g": "z + 9", "y": "g + 17", "b": "y + 11", "u": "b + 15", "s": "u + 13", "o": "s + 2", "t": "z + 14", "a": "t + 13", "l": "a + 13", "w": "l + 16", "q": "w + 5", "v": "q + 8", "z": 18}, "premises": {"z": 18}, "target": "o"}, "answer": {"steps": [["s", "u + 13", "u + 15"], ["u", "b + 15", "b + 30"], ["b", "y + 11", "y + 41"], ["y", "g + 17", "g + 58"], ["g", "z + 9", "z + 67"], ["z", 18, "85"]], "target_var_name": "o", "target_value": 85, "value_dict": {"z": 18}, "is_reverse": true}} | 11,414 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = z + 9; l = a + 13; t = z + 14; b = y + 11; s = u + 13; y = g + 17; w = l + 16; o = s + 2; v = q + 8; u = b + 15; a = t + 13; q = w + 5; z = 18. Given that z = 18, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = u + 13 to o, which gives o = u + 15.\n2. Substitute u = b + 15 to o, which gives o = b + 30.\n3. Substitute b = y + 11 to o, which gives o = y + 41.\n4. Substitute y = g + 17 to o, which gives o = g + 58.\n5. Substitute g = z + 9 to o, which gives o = z + 67.\n6. Substitute z = 18 to o, which gives o = 85.\n\nThus, the final answer is o = \\boxed{85}.",
"index": 11414,
"question": "Suppose a collection of variables is related by the following definitions: g = z + 9; l = a + 13; t = z + 14; b = y + 11; s = u + 13; y = g + 17; w = l + 16; o = s + 2; v = q + 8; u = b + 15; a = t + 13; q = w + 5; z = 18. Given that z = 18, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"c": "f + 4", "t": "c + 3", "u": "t + 7", "b": "u + 17", "x": "b + 5", "z": "x + 12", "w": "f + 7", "y": "w + 8", "m": "y + 16", "s": "m + 5", "h": "s + 20", "l": "h + 7", "f": 20}, "premises": {"f": 20}, "target": "z"}, "answer": {"steps": [["x", "b + 5", "b + 17"], ["b", "u + 17", "u + 34"], ["u", "t + 7", "t + 41"], ["t", "c + 3", "c + 44"], ["c", "f + 4", "f + 48"], ["f", 20, "68"]], "target_var_name": "z", "target_value": 68, "value_dict": {"f": 20}, "is_reverse": true}} | 11,415 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = f + 4; s = m + 5; x = b + 5; t = c + 3; l = h + 7; f = 20; y = w + 8; z = x + 12; u = t + 7; w = f + 7; h = s + 20; b = u + 17; m = y + 16. If f = 20, determine 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 = b + 5 to z, which gives z = b + 17.\n2. Substitute b = u + 17 to z, which gives z = u + 34.\n3. Substitute u = t + 7 to z, which gives z = t + 41.\n4. Substitute t = c + 3 to z, which gives z = c + 44.\n5. Substitute c = f + 4 to z, which gives z = f + 48.\n6. Substitute f = 20 to z, which gives z = 68.\n\nThus, the final answer is z = \\boxed{68}.",
"index": 11415,
"question": "Consider a system of variables where each variable is defined as follows: c = f + 4; s = m + 5; x = b + 5; t = c + 3; l = h + 7; f = 20; y = w + 8; z = x + 12; u = t + 7; w = f + 7; h = s + 20; b = u + 17; m = y + 16. If f = 20, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"z": "n + 10", "h": "z + 9", "e": "h + 1", "y": "e + 10", "u": "y + 20", "b": "u + 16", "o": "n + 12", "x": "o + 17", "j": "x + 7", "f": "j + 2", "m": "f + 5", "q": "m + 2", "n": 7}, "premises": {"n": 7}, "target": "b"}, "answer": {"steps": [["u", "y + 20", "y + 36"], ["y", "e + 10", "e + 46"], ["e", "h + 1", "h + 47"], ["h", "z + 9", "z + 56"], ["z", "n + 10", "n + 66"], ["n", 7, "73"]], "target_var_name": "b", "target_value": 73, "value_dict": {"n": 7}, "is_reverse": true}} | 11,416 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = x + 7; b = u + 16; o = n + 12; u = y + 20; e = h + 1; f = j + 2; z = n + 10; y = e + 10; m = f + 5; x = o + 17; n = 7; h = z + 9; q = m + 2. Given that n = 7, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = y + 20 to b, which gives b = y + 36.\n2. Substitute y = e + 10 to b, which gives b = e + 46.\n3. Substitute e = h + 1 to b, which gives b = h + 47.\n4. Substitute h = z + 9 to b, which gives b = z + 56.\n5. Substitute z = n + 10 to b, which gives b = n + 66.\n6. Substitute n = 7 to b, which gives b = 73.\n\nThus, the final answer is b = \\boxed{73}.",
"index": 11416,
"question": "Suppose a collection of variables is related by the following definitions: j = x + 7; b = u + 16; o = n + 12; u = y + 20; e = h + 1; f = j + 2; z = n + 10; y = e + 10; m = f + 5; x = o + 17; n = 7; h = z + 9; q = m + 2. Given that n = 7, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"a": "w + 9", "t": "a + 10", "r": "t + 11", "e": "r + 2", "f": "e + 11", "h": "f + 11", "s": "w + 9", "k": "s + 19", "z": "k + 14", "c": "z + 1", "o": "c + 10", "u": "o + 14", "w": 7}, "premises": {"w": 7}, "target": "h"}, "answer": {"steps": [["f", "e + 11", "e + 22"], ["e", "r + 2", "r + 24"], ["r", "t + 11", "t + 35"], ["t", "a + 10", "a + 45"], ["a", "w + 9", "w + 54"], ["w", 7, "61"]], "target_var_name": "h", "target_value": 61, "value_dict": {"w": 7}, "is_reverse": true}} | 11,417 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = e + 11; r = t + 11; u = o + 14; z = k + 14; e = r + 2; s = w + 9; t = a + 10; w = 7; c = z + 1; o = c + 10; k = s + 19; h = f + 11; a = w + 9. If w = 7, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = e + 11 to h, which gives h = e + 22.\n2. Substitute e = r + 2 to h, which gives h = r + 24.\n3. Substitute r = t + 11 to h, which gives h = t + 35.\n4. Substitute t = a + 10 to h, which gives h = a + 45.\n5. Substitute a = w + 9 to h, which gives h = w + 54.\n6. Substitute w = 7 to h, which gives h = 61.\n\nThus, the final answer is h = \\boxed{61}.",
"index": 11417,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = e + 11; r = t + 11; u = o + 14; z = k + 14; e = r + 2; s = w + 9; t = a + 10; w = 7; c = z + 1; o = c + 10; k = s + 19; h = f + 11; a = w + 9. If w = 7, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"a": "j + 5", "u": "a + 17", "q": "u + 15", "y": "q + 5", "i": "y + 10", "b": "i + 19", "p": "j + 13", "v": "p + 3", "s": "v + 15", "l": "s + 16", "m": "l + 11", "o": "m + 18", "j": 3}, "premises": {"j": 3}, "target": "b"}, "answer": {"steps": [["i", "y + 10", "y + 29"], ["y", "q + 5", "q + 34"], ["q", "u + 15", "u + 49"], ["u", "a + 17", "a + 66"], ["a", "j + 5", "j + 71"], ["j", 3, "74"]], "target_var_name": "b", "target_value": 74, "value_dict": {"j": 3}, "is_reverse": true}} | 11,418 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = m + 18; a = j + 5; p = j + 13; l = s + 16; q = u + 15; b = i + 19; u = a + 17; j = 3; y = q + 5; i = y + 10; m = l + 11; s = v + 15; v = p + 3. Given that j = 3, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = y + 10 to b, which gives b = y + 29.\n2. Substitute y = q + 5 to b, which gives b = q + 34.\n3. Substitute q = u + 15 to b, which gives b = u + 49.\n4. Substitute u = a + 17 to b, which gives b = a + 66.\n5. Substitute a = j + 5 to b, which gives b = j + 71.\n6. Substitute j = 3 to b, which gives b = 74.\n\nThus, the final answer is b = \\boxed{74}.",
"index": 11418,
"question": "Suppose a collection of variables is related by the following definitions: o = m + 18; a = j + 5; p = j + 13; l = s + 16; q = u + 15; b = i + 19; u = a + 17; j = 3; y = q + 5; i = y + 10; m = l + 11; s = v + 15; v = p + 3. Given that j = 3, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"o": "r + 10", "y": "o + 17", "g": "y + 7", "p": "g + 15", "c": "p + 12", "z": "c + 7", "j": "r + 7", "b": "j + 2", "q": "b + 4", "d": "q + 9", "u": "d + 13", "i": "u + 11", "r": 9}, "premises": {"r": 9}, "target": "z"}, "answer": {"steps": [["c", "p + 12", "p + 19"], ["p", "g + 15", "g + 34"], ["g", "y + 7", "y + 41"], ["y", "o + 17", "o + 58"], ["o", "r + 10", "r + 68"], ["r", 9, "77"]], "target_var_name": "z", "target_value": 77, "value_dict": {"r": 9}, "is_reverse": true}} | 11,419 | 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 = j + 2; p = g + 15; i = u + 11; u = d + 13; q = b + 4; d = q + 9; j = r + 7; o = r + 10; z = c + 7; y = o + 17; c = p + 12; r = 9; g = y + 7. If r = 9, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = p + 12 to z, which gives z = p + 19.\n2. Substitute p = g + 15 to z, which gives z = g + 34.\n3. Substitute g = y + 7 to z, which gives z = y + 41.\n4. Substitute y = o + 17 to z, which gives z = o + 58.\n5. Substitute o = r + 10 to z, which gives z = r + 68.\n6. Substitute r = 9 to z, which gives z = 77.\n\nThus, the final answer is z = \\boxed{77}.",
"index": 11419,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = j + 2; p = g + 15; i = u + 11; u = d + 13; q = b + 4; d = q + 9; j = r + 7; o = r + 10; z = c + 7; y = o + 17; c = p + 12; r = 9; g = y + 7. If r = 9, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"c": "q + 20", "r": "c + 4", "a": "r + 15", "m": "a + 9", "d": "m + 15", "y": "d + 3", "u": "q + 5", "b": "u + 18", "t": "b + 16", "v": "t + 20", "l": "v + 14", "e": "l + 14", "q": 10}, "premises": {"q": 10}, "target": "y"}, "answer": {"steps": [["d", "m + 15", "m + 18"], ["m", "a + 9", "a + 27"], ["a", "r + 15", "r + 42"], ["r", "c + 4", "c + 46"], ["c", "q + 20", "q + 66"], ["q", 10, "76"]], "target_var_name": "y", "target_value": 76, "value_dict": {"q": 10}, "is_reverse": true}} | 11,420 | 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 + 15; c = q + 20; u = q + 5; m = a + 9; b = u + 18; r = c + 4; q = 10; y = d + 3; e = l + 14; v = t + 20; l = v + 14; t = b + 16; a = r + 15. If q = 10, 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 d = m + 15 to y, which gives y = m + 18.\n2. Substitute m = a + 9 to y, which gives y = a + 27.\n3. Substitute a = r + 15 to y, which gives y = r + 42.\n4. Substitute r = c + 4 to y, which gives y = c + 46.\n5. Substitute c = q + 20 to y, which gives y = q + 66.\n6. Substitute q = 10 to y, which gives y = 76.\n\nThus, the final answer is y = \\boxed{76}.",
"index": 11420,
"question": "Consider a system of variables where each variable is defined as follows: d = m + 15; c = q + 20; u = q + 5; m = a + 9; b = u + 18; r = c + 4; q = 10; y = d + 3; e = l + 14; v = t + 20; l = v + 14; t = b + 16; a = r + 15. If q = 10, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"e": "d + 12", "q": "e + 6", "l": "q + 15", "c": "l + 7", "b": "c + 7", "j": "b + 2", "n": "d + 3", "t": "n + 18", "v": "t + 17", "p": "v + 4", "z": "p + 8", "r": "z + 5", "d": 8}, "premises": {"d": 8}, "target": "j"}, "answer": {"steps": [["b", "c + 7", "c + 9"], ["c", "l + 7", "l + 16"], ["l", "q + 15", "q + 31"], ["q", "e + 6", "e + 37"], ["e", "d + 12", "d + 49"], ["d", 8, "57"]], "target_var_name": "j", "target_value": 57, "value_dict": {"d": 8}, "is_reverse": true}} | 11,421 | 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 + 8; p = v + 4; t = n + 18; b = c + 7; r = z + 5; d = 8; l = q + 15; n = d + 3; j = b + 2; e = d + 12; q = e + 6; v = t + 17; c = l + 7. If d = 8, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = c + 7 to j, which gives j = c + 9.\n2. Substitute c = l + 7 to j, which gives j = l + 16.\n3. Substitute l = q + 15 to j, which gives j = q + 31.\n4. Substitute q = e + 6 to j, which gives j = e + 37.\n5. Substitute e = d + 12 to j, which gives j = d + 49.\n6. Substitute d = 8 to j, which gives j = 57.\n\nThus, the final answer is j = \\boxed{57}.",
"index": 11421,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = p + 8; p = v + 4; t = n + 18; b = c + 7; r = z + 5; d = 8; l = q + 15; n = d + 3; j = b + 2; e = d + 12; q = e + 6; v = t + 17; c = l + 7. If d = 8, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"q": "x + 9", "a": "q + 18", "n": "a + 12", "f": "n + 2", "w": "f + 7", "i": "w + 3", "l": "x + 1", "e": "l + 12", "p": "e + 15", "t": "p + 7", "c": "t + 8", "z": "c + 2", "x": 9}, "premises": {"x": 9}, "target": "i"}, "answer": {"steps": [["w", "f + 7", "f + 10"], ["f", "n + 2", "n + 12"], ["n", "a + 12", "a + 24"], ["a", "q + 18", "q + 42"], ["q", "x + 9", "x + 51"], ["x", 9, "60"]], "target_var_name": "i", "target_value": 60, "value_dict": {"x": 9}, "is_reverse": true}} | 11,422 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = l + 12; i = w + 3; z = c + 2; n = a + 12; x = 9; c = t + 8; t = p + 7; l = x + 1; w = f + 7; q = x + 9; f = n + 2; p = e + 15; a = q + 18. Given that x = 9, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = f + 7 to i, which gives i = f + 10.\n2. Substitute f = n + 2 to i, which gives i = n + 12.\n3. Substitute n = a + 12 to i, which gives i = a + 24.\n4. Substitute a = q + 18 to i, which gives i = q + 42.\n5. Substitute q = x + 9 to i, which gives i = x + 51.\n6. Substitute x = 9 to i, which gives i = 60.\n\nThus, the final answer is i = \\boxed{60}.",
"index": 11422,
"question": "Suppose a collection of variables is related by the following definitions: e = l + 12; i = w + 3; z = c + 2; n = a + 12; x = 9; c = t + 8; t = p + 7; l = x + 1; w = f + 7; q = x + 9; f = n + 2; p = e + 15; a = q + 18. Given that x = 9, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"q": "z + 15", "r": "q + 18", "c": "r + 20", "w": "c + 8", "k": "w + 19", "j": "k + 16", "x": "z + 1", "e": "x + 6", "v": "e + 14", "s": "v + 1", "b": "s + 18", "h": "b + 8", "z": 17}, "premises": {"z": 17}, "target": "j"}, "answer": {"steps": [["k", "w + 19", "w + 35"], ["w", "c + 8", "c + 43"], ["c", "r + 20", "r + 63"], ["r", "q + 18", "q + 81"], ["q", "z + 15", "z + 96"], ["z", 17, "113"]], "target_var_name": "j", "target_value": 113, "value_dict": {"z": 17}, "is_reverse": true}} | 11,423 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = b + 8; b = s + 18; q = z + 15; r = q + 18; k = w + 19; e = x + 6; s = v + 1; z = 17; j = k + 16; c = r + 20; v = e + 14; w = c + 8; x = z + 1. If z = 17, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 113,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = w + 19 to j, which gives j = w + 35.\n2. Substitute w = c + 8 to j, which gives j = c + 43.\n3. Substitute c = r + 20 to j, which gives j = r + 63.\n4. Substitute r = q + 18 to j, which gives j = q + 81.\n5. Substitute q = z + 15 to j, which gives j = z + 96.\n6. Substitute z = 17 to j, which gives j = 113.\n\nThus, the final answer is j = \\boxed{113}.",
"index": 11423,
"question": "Consider a system of variables where each variable is defined as follows: h = b + 8; b = s + 18; q = z + 15; r = q + 18; k = w + 19; e = x + 6; s = v + 1; z = 17; j = k + 16; c = r + 20; v = e + 14; w = c + 8; x = z + 1. If z = 17, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"r": "a + 14", "g": "r + 10", "v": "g + 1", "l": "v + 2", "h": "l + 13", "o": "h + 17", "b": "a + 16", "s": "b + 12", "i": "s + 19", "q": "i + 10", "c": "q + 13", "f": "c + 14", "a": 9}, "premises": {"a": 9}, "target": "o"}, "answer": {"steps": [["h", "l + 13", "l + 30"], ["l", "v + 2", "v + 32"], ["v", "g + 1", "g + 33"], ["g", "r + 10", "r + 43"], ["r", "a + 14", "a + 57"], ["a", 9, "66"]], "target_var_name": "o", "target_value": 66, "value_dict": {"a": 9}, "is_reverse": true}} | 11,424 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = h + 17; v = g + 1; l = v + 2; a = 9; g = r + 10; s = b + 12; i = s + 19; f = c + 14; c = q + 13; b = a + 16; r = a + 14; h = l + 13; q = i + 10. Given that a = 9, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = l + 13 to o, which gives o = l + 30.\n2. Substitute l = v + 2 to o, which gives o = v + 32.\n3. Substitute v = g + 1 to o, which gives o = g + 33.\n4. Substitute g = r + 10 to o, which gives o = r + 43.\n5. Substitute r = a + 14 to o, which gives o = a + 57.\n6. Substitute a = 9 to o, which gives o = 66.\n\nThus, the final answer is o = \\boxed{66}.",
"index": 11424,
"question": "Suppose a collection of variables is related by the following definitions: o = h + 17; v = g + 1; l = v + 2; a = 9; g = r + 10; s = b + 12; i = s + 19; f = c + 14; c = q + 13; b = a + 16; r = a + 14; h = l + 13; q = i + 10. Given that a = 9, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"m": "p + 17", "i": "m + 7", "j": "i + 12", "v": "j + 4", "q": "v + 18", "a": "q + 15", "g": "p + 16", "y": "g + 1", "d": "y + 2", "k": "d + 6", "u": "k + 14", "f": "u + 4", "p": 15}, "premises": {"p": 15}, "target": "a"}, "answer": {"steps": [["q", "v + 18", "v + 33"], ["v", "j + 4", "j + 37"], ["j", "i + 12", "i + 49"], ["i", "m + 7", "m + 56"], ["m", "p + 17", "p + 73"], ["p", 15, "88"]], "target_var_name": "a", "target_value": 88, "value_dict": {"p": 15}, "is_reverse": true}} | 11,425 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = v + 18; p = 15; v = j + 4; j = i + 12; d = y + 2; a = q + 15; k = d + 6; f = u + 4; i = m + 7; g = p + 16; m = p + 17; y = g + 1; u = k + 14. If p = 15, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = v + 18 to a, which gives a = v + 33.\n2. Substitute v = j + 4 to a, which gives a = j + 37.\n3. Substitute j = i + 12 to a, which gives a = i + 49.\n4. Substitute i = m + 7 to a, which gives a = m + 56.\n5. Substitute m = p + 17 to a, which gives a = p + 73.\n6. Substitute p = 15 to a, which gives a = 88.\n\nThus, the final answer is a = \\boxed{88}.",
"index": 11425,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = v + 18; p = 15; v = j + 4; j = i + 12; d = y + 2; a = q + 15; k = d + 6; f = u + 4; i = m + 7; g = p + 16; m = p + 17; y = g + 1; u = k + 14. If p = 15, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"e": "a + 12", "k": "e + 14", "j": "k + 7", "i": "j + 14", "h": "i + 20", "f": "h + 1", "s": "a + 16", "n": "s + 15", "y": "n + 20", "u": "y + 17", "w": "u + 9", "z": "w + 14", "a": 17}, "premises": {"a": 17}, "target": "f"}, "answer": {"steps": [["h", "i + 20", "i + 21"], ["i", "j + 14", "j + 35"], ["j", "k + 7", "k + 42"], ["k", "e + 14", "e + 56"], ["e", "a + 12", "a + 68"], ["a", 17, "85"]], "target_var_name": "f", "target_value": 85, "value_dict": {"a": 17}, "is_reverse": true}} | 11,426 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = u + 9; e = a + 12; y = n + 20; j = k + 7; n = s + 15; i = j + 14; u = y + 17; h = i + 20; s = a + 16; k = e + 14; z = w + 14; a = 17; f = h + 1. Given that a = 17, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = i + 20 to f, which gives f = i + 21.\n2. Substitute i = j + 14 to f, which gives f = j + 35.\n3. Substitute j = k + 7 to f, which gives f = k + 42.\n4. Substitute k = e + 14 to f, which gives f = e + 56.\n5. Substitute e = a + 12 to f, which gives f = a + 68.\n6. Substitute a = 17 to f, which gives f = 85.\n\nThus, the final answer is f = \\boxed{85}.",
"index": 11426,
"question": "Suppose a collection of variables is related by the following definitions: w = u + 9; e = a + 12; y = n + 20; j = k + 7; n = s + 15; i = j + 14; u = y + 17; h = i + 20; s = a + 16; k = e + 14; z = w + 14; a = 17; f = h + 1. Given that a = 17, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"a": "x + 2", "c": "a + 19", "i": "c + 11", "m": "i + 4", "v": "m + 4", "t": "v + 11", "f": "x + 3", "y": "f + 10", "b": "y + 19", "z": "b + 14", "s": "z + 18", "d": "s + 18", "x": 16}, "premises": {"x": 16}, "target": "t"}, "answer": {"steps": [["v", "m + 4", "m + 15"], ["m", "i + 4", "i + 19"], ["i", "c + 11", "c + 30"], ["c", "a + 19", "a + 49"], ["a", "x + 2", "x + 51"], ["x", 16, "67"]], "target_var_name": "t", "target_value": 67, "value_dict": {"x": 16}, "is_reverse": true}} | 11,427 | 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 = s + 18; z = b + 14; b = y + 19; i = c + 11; a = x + 2; m = i + 4; c = a + 19; s = z + 18; f = x + 3; y = f + 10; v = m + 4; x = 16; t = v + 11. If x = 16, 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 v = m + 4 to t, which gives t = m + 15.\n2. Substitute m = i + 4 to t, which gives t = i + 19.\n3. Substitute i = c + 11 to t, which gives t = c + 30.\n4. Substitute c = a + 19 to t, which gives t = a + 49.\n5. Substitute a = x + 2 to t, which gives t = x + 51.\n6. Substitute x = 16 to t, which gives t = 67.\n\nThus, the final answer is t = \\boxed{67}.",
"index": 11427,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = s + 18; z = b + 14; b = y + 19; i = c + 11; a = x + 2; m = i + 4; c = a + 19; s = z + 18; f = x + 3; y = f + 10; v = m + 4; x = 16; t = v + 11. If x = 16, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"j": "p + 3", "i": "j + 14", "h": "i + 5", "c": "h + 3", "l": "c + 1", "t": "l + 17", "g": "p + 16", "a": "g + 13", "n": "a + 10", "y": "n + 20", "s": "y + 1", "d": "s + 11", "p": 14}, "premises": {"p": 14}, "target": "t"}, "answer": {"steps": [["l", "c + 1", "c + 18"], ["c", "h + 3", "h + 21"], ["h", "i + 5", "i + 26"], ["i", "j + 14", "j + 40"], ["j", "p + 3", "p + 43"], ["p", 14, "57"]], "target_var_name": "t", "target_value": 57, "value_dict": {"p": 14}, "is_reverse": true}} | 11,428 | 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 = 14; a = g + 13; j = p + 3; t = l + 17; i = j + 14; y = n + 20; s = y + 1; n = a + 10; g = p + 16; d = s + 11; h = i + 5; l = c + 1; c = h + 3. If p = 14, what is the resulting 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 l = c + 1 to t, which gives t = c + 18.\n2. Substitute c = h + 3 to t, which gives t = h + 21.\n3. Substitute h = i + 5 to t, which gives t = i + 26.\n4. Substitute i = j + 14 to t, which gives t = j + 40.\n5. Substitute j = p + 3 to t, which gives t = p + 43.\n6. Substitute p = 14 to t, which gives t = 57.\n\nThus, the final answer is t = \\boxed{57}.",
"index": 11428,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = 14; a = g + 13; j = p + 3; t = l + 17; i = j + 14; y = n + 20; s = y + 1; n = a + 10; g = p + 16; d = s + 11; h = i + 5; l = c + 1; c = h + 3. If p = 14, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"h": "v + 11", "d": "h + 2", "b": "d + 17", "i": "b + 9", "m": "i + 10", "p": "m + 8", "j": "v + 17", "t": "j + 10", "w": "t + 12", "s": "w + 10", "u": "s + 11", "a": "u + 11", "v": 13}, "premises": {"v": 13}, "target": "p"}, "answer": {"steps": [["m", "i + 10", "i + 18"], ["i", "b + 9", "b + 27"], ["b", "d + 17", "d + 44"], ["d", "h + 2", "h + 46"], ["h", "v + 11", "v + 57"], ["v", 13, "70"]], "target_var_name": "p", "target_value": 70, "value_dict": {"v": 13}, "is_reverse": true}} | 11,429 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = h + 2; b = d + 17; m = i + 10; a = u + 11; v = 13; h = v + 11; t = j + 10; s = w + 10; j = v + 17; u = s + 11; w = t + 12; i = b + 9; p = m + 8. Given that v = 13, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = i + 10 to p, which gives p = i + 18.\n2. Substitute i = b + 9 to p, which gives p = b + 27.\n3. Substitute b = d + 17 to p, which gives p = d + 44.\n4. Substitute d = h + 2 to p, which gives p = h + 46.\n5. Substitute h = v + 11 to p, which gives p = v + 57.\n6. Substitute v = 13 to p, which gives p = 70.\n\nThus, the final answer is p = \\boxed{70}.",
"index": 11429,
"question": "Suppose a collection of variables is related by the following definitions: d = h + 2; b = d + 17; m = i + 10; a = u + 11; v = 13; h = v + 11; t = j + 10; s = w + 10; j = v + 17; u = s + 11; w = t + 12; i = b + 9; p = m + 8. Given that v = 13, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"e": "x + 4", "g": "e + 8", "i": "g + 8", "r": "i + 18", "u": "r + 20", "y": "u + 13", "m": "x + 3", "w": "m + 2", "b": "w + 1", "s": "b + 15", "v": "s + 5", "z": "v + 16", "x": 18}, "premises": {"x": 18}, "target": "y"}, "answer": {"steps": [["u", "r + 20", "r + 33"], ["r", "i + 18", "i + 51"], ["i", "g + 8", "g + 59"], ["g", "e + 8", "e + 67"], ["e", "x + 4", "x + 71"], ["x", 18, "89"]], "target_var_name": "y", "target_value": 89, "value_dict": {"x": 18}, "is_reverse": true}} | 11,430 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = e + 8; m = x + 3; r = i + 18; b = w + 1; s = b + 15; v = s + 5; w = m + 2; e = x + 4; z = v + 16; i = g + 8; u = r + 20; y = u + 13; x = 18. If x = 18, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = r + 20 to y, which gives y = r + 33.\n2. Substitute r = i + 18 to y, which gives y = i + 51.\n3. Substitute i = g + 8 to y, which gives y = g + 59.\n4. Substitute g = e + 8 to y, which gives y = e + 67.\n5. Substitute e = x + 4 to y, which gives y = x + 71.\n6. Substitute x = 18 to y, which gives y = 89.\n\nThus, the final answer is y = \\boxed{89}.",
"index": 11430,
"question": "Consider a system of variables where each variable is defined as follows: g = e + 8; m = x + 3; r = i + 18; b = w + 1; s = b + 15; v = s + 5; w = m + 2; e = x + 4; z = v + 16; i = g + 8; u = r + 20; y = u + 13; x = 18. If x = 18, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"i": "g + 3", "w": "i + 17", "x": "w + 12", "u": "x + 14", "h": "u + 13", "t": "h + 12", "c": "g + 10", "q": "c + 13", "b": "q + 7", "k": "b + 20", "a": "k + 5", "r": "a + 3", "g": 18}, "premises": {"g": 18}, "target": "t"}, "answer": {"steps": [["h", "u + 13", "u + 25"], ["u", "x + 14", "x + 39"], ["x", "w + 12", "w + 51"], ["w", "i + 17", "i + 68"], ["i", "g + 3", "g + 71"], ["g", 18, "89"]], "target_var_name": "t", "target_value": 89, "value_dict": {"g": 18}, "is_reverse": true}} | 11,431 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = k + 5; u = x + 14; k = b + 20; h = u + 13; c = g + 10; t = h + 12; g = 18; w = i + 17; b = q + 7; q = c + 13; x = w + 12; r = a + 3; i = g + 3. Given that g = 18, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = u + 13 to t, which gives t = u + 25.\n2. Substitute u = x + 14 to t, which gives t = x + 39.\n3. Substitute x = w + 12 to t, which gives t = w + 51.\n4. Substitute w = i + 17 to t, which gives t = i + 68.\n5. Substitute i = g + 3 to t, which gives t = g + 71.\n6. Substitute g = 18 to t, which gives t = 89.\n\nThus, the final answer is t = \\boxed{89}.",
"index": 11431,
"question": "Suppose a collection of variables is related by the following definitions: a = k + 5; u = x + 14; k = b + 20; h = u + 13; c = g + 10; t = h + 12; g = 18; w = i + 17; b = q + 7; q = c + 13; x = w + 12; r = a + 3; i = g + 3. Given that g = 18, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"s": "o + 10", "i": "s + 8", "w": "i + 6", "h": "w + 7", "d": "h + 20", "n": "d + 10", "c": "o + 17", "b": "c + 12", "l": "b + 14", "m": "l + 18", "f": "m + 19", "k": "f + 4", "o": 20}, "premises": {"o": 20}, "target": "n"}, "answer": {"steps": [["d", "h + 20", "h + 30"], ["h", "w + 7", "w + 37"], ["w", "i + 6", "i + 43"], ["i", "s + 8", "s + 51"], ["s", "o + 10", "o + 61"], ["o", 20, "81"]], "target_var_name": "n", "target_value": 81, "value_dict": {"o": 20}, "is_reverse": true}} | 11,432 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = b + 14; d = h + 20; s = o + 10; h = w + 7; f = m + 19; m = l + 18; c = o + 17; b = c + 12; k = f + 4; n = d + 10; i = s + 8; o = 20; w = i + 6. Given that o = 20, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = h + 20 to n, which gives n = h + 30.\n2. Substitute h = w + 7 to n, which gives n = w + 37.\n3. Substitute w = i + 6 to n, which gives n = i + 43.\n4. Substitute i = s + 8 to n, which gives n = s + 51.\n5. Substitute s = o + 10 to n, which gives n = o + 61.\n6. Substitute o = 20 to n, which gives n = 81.\n\nThus, the final answer is n = \\boxed{81}.",
"index": 11432,
"question": "Suppose a collection of variables is related by the following definitions: l = b + 14; d = h + 20; s = o + 10; h = w + 7; f = m + 19; m = l + 18; c = o + 17; b = c + 12; k = f + 4; n = d + 10; i = s + 8; o = 20; w = i + 6. Given that o = 20, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"p": "m + 6", "g": "p + 7", "k": "g + 4", "s": "k + 6", "c": "s + 4", "u": "c + 5", "x": "m + 2", "q": "x + 8", "j": "q + 20", "a": "j + 7", "z": "a + 16", "o": "z + 17", "m": 16}, "premises": {"m": 16}, "target": "u"}, "answer": {"steps": [["c", "s + 4", "s + 9"], ["s", "k + 6", "k + 15"], ["k", "g + 4", "g + 19"], ["g", "p + 7", "p + 26"], ["p", "m + 6", "m + 32"], ["m", 16, "48"]], "target_var_name": "u", "target_value": 48, "value_dict": {"m": 16}, "is_reverse": true}} | 11,433 | 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 = j + 7; s = k + 6; q = x + 8; k = g + 4; j = q + 20; g = p + 7; p = m + 6; c = s + 4; m = 16; x = m + 2; z = a + 16; u = c + 5; o = z + 17. If m = 16, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = s + 4 to u, which gives u = s + 9.\n2. Substitute s = k + 6 to u, which gives u = k + 15.\n3. Substitute k = g + 4 to u, which gives u = g + 19.\n4. Substitute g = p + 7 to u, which gives u = p + 26.\n5. Substitute p = m + 6 to u, which gives u = m + 32.\n6. Substitute m = 16 to u, which gives u = 48.\n\nThus, the final answer is u = \\boxed{48}.",
"index": 11433,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = j + 7; s = k + 6; q = x + 8; k = g + 4; j = q + 20; g = p + 7; p = m + 6; c = s + 4; m = 16; x = m + 2; z = a + 16; u = c + 5; o = z + 17. If m = 16, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"w": "i + 2", "k": "w + 9", "b": "k + 14", "u": "b + 1", "j": "u + 12", "f": "j + 18", "m": "i + 14", "z": "m + 20", "s": "z + 13", "n": "s + 13", "g": "n + 16", "v": "g + 10", "i": 6}, "premises": {"i": 6}, "target": "f"}, "answer": {"steps": [["j", "u + 12", "u + 30"], ["u", "b + 1", "b + 31"], ["b", "k + 14", "k + 45"], ["k", "w + 9", "w + 54"], ["w", "i + 2", "i + 56"], ["i", 6, "62"]], "target_var_name": "f", "target_value": 62, "value_dict": {"i": 6}, "is_reverse": true}} | 11,434 | 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 = m + 20; b = k + 14; s = z + 13; w = i + 2; m = i + 14; f = j + 18; v = g + 10; u = b + 1; j = u + 12; k = w + 9; n = s + 13; g = n + 16; i = 6. If i = 6, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = u + 12 to f, which gives f = u + 30.\n2. Substitute u = b + 1 to f, which gives f = b + 31.\n3. Substitute b = k + 14 to f, which gives f = k + 45.\n4. Substitute k = w + 9 to f, which gives f = w + 54.\n5. Substitute w = i + 2 to f, which gives f = i + 56.\n6. Substitute i = 6 to f, which gives f = 62.\n\nThus, the final answer is f = \\boxed{62}.",
"index": 11434,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = m + 20; b = k + 14; s = z + 13; w = i + 2; m = i + 14; f = j + 18; v = g + 10; u = b + 1; j = u + 12; k = w + 9; n = s + 13; g = n + 16; i = 6. If i = 6, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"z": "t + 7", "e": "z + 12", "k": "e + 10", "j": "k + 11", "l": "j + 4", "r": "l + 8", "s": "t + 14", "b": "s + 14", "m": "b + 2", "y": "m + 5", "w": "y + 12", "g": "w + 9", "t": 10}, "premises": {"t": 10}, "target": "r"}, "answer": {"steps": [["l", "j + 4", "j + 12"], ["j", "k + 11", "k + 23"], ["k", "e + 10", "e + 33"], ["e", "z + 12", "z + 45"], ["z", "t + 7", "t + 52"], ["t", 10, "62"]], "target_var_name": "r", "target_value": 62, "value_dict": {"t": 10}, "is_reverse": true}} | 11,435 | 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 = b + 2; b = s + 14; e = z + 12; k = e + 10; t = 10; l = j + 4; j = k + 11; r = l + 8; w = y + 12; z = t + 7; y = m + 5; g = w + 9; s = t + 14. If t = 10, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = j + 4 to r, which gives r = j + 12.\n2. Substitute j = k + 11 to r, which gives r = k + 23.\n3. Substitute k = e + 10 to r, which gives r = e + 33.\n4. Substitute e = z + 12 to r, which gives r = z + 45.\n5. Substitute z = t + 7 to r, which gives r = t + 52.\n6. Substitute t = 10 to r, which gives r = 62.\n\nThus, the final answer is r = \\boxed{62}.",
"index": 11435,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = b + 2; b = s + 14; e = z + 12; k = e + 10; t = 10; l = j + 4; j = k + 11; r = l + 8; w = y + 12; z = t + 7; y = m + 5; g = w + 9; s = t + 14. If t = 10, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"k": "e + 6", "b": "k + 12", "y": "b + 6", "d": "y + 14", "t": "d + 9", "i": "t + 17", "m": "e + 2", "n": "m + 6", "a": "n + 4", "w": "a + 18", "x": "w + 2", "p": "x + 11", "e": 12}, "premises": {"e": 12}, "target": "i"}, "answer": {"steps": [["t", "d + 9", "d + 26"], ["d", "y + 14", "y + 40"], ["y", "b + 6", "b + 46"], ["b", "k + 12", "k + 58"], ["k", "e + 6", "e + 64"], ["e", 12, "76"]], "target_var_name": "i", "target_value": 76, "value_dict": {"e": 12}, "is_reverse": true}} | 11,436 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = d + 9; i = t + 17; k = e + 6; m = e + 2; x = w + 2; a = n + 4; b = k + 12; e = 12; d = y + 14; p = x + 11; y = b + 6; n = m + 6; w = a + 18. If e = 12, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = d + 9 to i, which gives i = d + 26.\n2. Substitute d = y + 14 to i, which gives i = y + 40.\n3. Substitute y = b + 6 to i, which gives i = b + 46.\n4. Substitute b = k + 12 to i, which gives i = k + 58.\n5. Substitute k = e + 6 to i, which gives i = e + 64.\n6. Substitute e = 12 to i, which gives i = 76.\n\nThus, the final answer is i = \\boxed{76}.",
"index": 11436,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = d + 9; i = t + 17; k = e + 6; m = e + 2; x = w + 2; a = n + 4; b = k + 12; e = 12; d = y + 14; p = x + 11; y = b + 6; n = m + 6; w = a + 18. If e = 12, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"g": "j + 6", "z": "g + 5", "r": "z + 11", "f": "r + 20", "b": "f + 1", "p": "b + 10", "k": "j + 17", "o": "k + 20", "a": "o + 18", "m": "a + 10", "v": "m + 1", "u": "v + 18", "j": 11}, "premises": {"j": 11}, "target": "p"}, "answer": {"steps": [["b", "f + 1", "f + 11"], ["f", "r + 20", "r + 31"], ["r", "z + 11", "z + 42"], ["z", "g + 5", "g + 47"], ["g", "j + 6", "j + 53"], ["j", 11, "64"]], "target_var_name": "p", "target_value": 64, "value_dict": {"j": 11}, "is_reverse": true}} | 11,437 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = m + 1; p = b + 10; a = o + 18; m = a + 10; z = g + 5; j = 11; g = j + 6; b = f + 1; r = z + 11; f = r + 20; u = v + 18; o = k + 20; k = j + 17. If j = 11, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = f + 1 to p, which gives p = f + 11.\n2. Substitute f = r + 20 to p, which gives p = r + 31.\n3. Substitute r = z + 11 to p, which gives p = z + 42.\n4. Substitute z = g + 5 to p, which gives p = g + 47.\n5. Substitute g = j + 6 to p, which gives p = j + 53.\n6. Substitute j = 11 to p, which gives p = 64.\n\nThus, the final answer is p = \\boxed{64}.",
"index": 11437,
"question": "Consider a system of variables where each variable is defined as follows: v = m + 1; p = b + 10; a = o + 18; m = a + 10; z = g + 5; j = 11; g = j + 6; b = f + 1; r = z + 11; f = r + 20; u = v + 18; o = k + 20; k = j + 17. If j = 11, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"x": "f + 16", "c": "x + 18", "l": "c + 6", "k": "l + 19", "j": "k + 10", "u": "j + 12", "o": "f + 1", "n": "o + 7", "y": "n + 7", "w": "y + 11", "s": "w + 17", "e": "s + 17", "f": 5}, "premises": {"f": 5}, "target": "u"}, "answer": {"steps": [["j", "k + 10", "k + 22"], ["k", "l + 19", "l + 41"], ["l", "c + 6", "c + 47"], ["c", "x + 18", "x + 65"], ["x", "f + 16", "f + 81"], ["f", 5, "86"]], "target_var_name": "u", "target_value": 86, "value_dict": {"f": 5}, "is_reverse": true}} | 11,438 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = f + 16; e = s + 17; k = l + 19; f = 5; n = o + 7; o = f + 1; c = x + 18; w = y + 11; y = n + 7; l = c + 6; s = w + 17; j = k + 10; u = j + 12. Given that f = 5, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = k + 10 to u, which gives u = k + 22.\n2. Substitute k = l + 19 to u, which gives u = l + 41.\n3. Substitute l = c + 6 to u, which gives u = c + 47.\n4. Substitute c = x + 18 to u, which gives u = x + 65.\n5. Substitute x = f + 16 to u, which gives u = f + 81.\n6. Substitute f = 5 to u, which gives u = 86.\n\nThus, the final answer is u = \\boxed{86}.",
"index": 11438,
"question": "Suppose a collection of variables is related by the following definitions: x = f + 16; e = s + 17; k = l + 19; f = 5; n = o + 7; o = f + 1; c = x + 18; w = y + 11; y = n + 7; l = c + 6; s = w + 17; j = k + 10; u = j + 12. Given that f = 5, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"n": "f + 15", "x": "n + 10", "a": "x + 10", "m": "a + 2", "v": "m + 9", "z": "v + 15", "l": "f + 18", "c": "l + 7", "d": "c + 8", "r": "d + 19", "w": "r + 17", "t": "w + 4", "f": 10}, "premises": {"f": 10}, "target": "z"}, "answer": {"steps": [["v", "m + 9", "m + 24"], ["m", "a + 2", "a + 26"], ["a", "x + 10", "x + 36"], ["x", "n + 10", "n + 46"], ["n", "f + 15", "f + 61"], ["f", 10, "71"]], "target_var_name": "z", "target_value": 71, "value_dict": {"f": 10}, "is_reverse": true}} | 11,439 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = x + 10; m = a + 2; c = l + 7; n = f + 15; f = 10; z = v + 15; v = m + 9; r = d + 19; t = w + 4; d = c + 8; x = n + 10; l = f + 18; w = r + 17. Given that f = 10, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = m + 9 to z, which gives z = m + 24.\n2. Substitute m = a + 2 to z, which gives z = a + 26.\n3. Substitute a = x + 10 to z, which gives z = x + 36.\n4. Substitute x = n + 10 to z, which gives z = n + 46.\n5. Substitute n = f + 15 to z, which gives z = f + 61.\n6. Substitute f = 10 to z, which gives z = 71.\n\nThus, the final answer is z = \\boxed{71}.",
"index": 11439,
"question": "Suppose a collection of variables is related by the following definitions: a = x + 10; m = a + 2; c = l + 7; n = f + 15; f = 10; z = v + 15; v = m + 9; r = d + 19; t = w + 4; d = c + 8; x = n + 10; l = f + 18; w = r + 17. Given that f = 10, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"v": "x + 1", "a": "v + 8", "h": "a + 12", "b": "h + 9", "k": "b + 17", "n": "k + 17", "e": "x + 18", "c": "e + 18", "y": "c + 5", "o": "y + 13", "d": "o + 10", "m": "d + 2", "x": 17}, "premises": {"x": 17}, "target": "n"}, "answer": {"steps": [["k", "b + 17", "b + 34"], ["b", "h + 9", "h + 43"], ["h", "a + 12", "a + 55"], ["a", "v + 8", "v + 63"], ["v", "x + 1", "x + 64"], ["x", 17, "81"]], "target_var_name": "n", "target_value": 81, "value_dict": {"x": 17}, "is_reverse": true}} | 11,440 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = a + 12; c = e + 18; b = h + 9; o = y + 13; v = x + 1; y = c + 5; x = 17; a = v + 8; n = k + 17; e = x + 18; m = d + 2; k = b + 17; d = o + 10. If x = 17, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = b + 17 to n, which gives n = b + 34.\n2. Substitute b = h + 9 to n, which gives n = h + 43.\n3. Substitute h = a + 12 to n, which gives n = a + 55.\n4. Substitute a = v + 8 to n, which gives n = v + 63.\n5. Substitute v = x + 1 to n, which gives n = x + 64.\n6. Substitute x = 17 to n, which gives n = 81.\n\nThus, the final answer is n = \\boxed{81}.",
"index": 11440,
"question": "Consider a system of variables where each variable is defined as follows: h = a + 12; c = e + 18; b = h + 9; o = y + 13; v = x + 1; y = c + 5; x = 17; a = v + 8; n = k + 17; e = x + 18; m = d + 2; k = b + 17; d = o + 10. If x = 17, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"q": "y + 14", "b": "q + 20", "f": "b + 6", "r": "f + 15", "p": "r + 9", "o": "p + 7", "c": "y + 15", "z": "c + 7", "t": "z + 14", "e": "t + 6", "s": "e + 13", "g": "s + 6", "y": 18}, "premises": {"y": 18}, "target": "o"}, "answer": {"steps": [["p", "r + 9", "r + 16"], ["r", "f + 15", "f + 31"], ["f", "b + 6", "b + 37"], ["b", "q + 20", "q + 57"], ["q", "y + 14", "y + 71"], ["y", 18, "89"]], "target_var_name": "o", "target_value": 89, "value_dict": {"y": 18}, "is_reverse": true}} | 11,441 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = t + 6; g = s + 6; f = b + 6; o = p + 7; r = f + 15; q = y + 14; s = e + 13; z = c + 7; y = 18; b = q + 20; c = y + 15; t = z + 14; p = r + 9. Given that y = 18, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = r + 9 to o, which gives o = r + 16.\n2. Substitute r = f + 15 to o, which gives o = f + 31.\n3. Substitute f = b + 6 to o, which gives o = b + 37.\n4. Substitute b = q + 20 to o, which gives o = q + 57.\n5. Substitute q = y + 14 to o, which gives o = y + 71.\n6. Substitute y = 18 to o, which gives o = 89.\n\nThus, the final answer is o = \\boxed{89}.",
"index": 11441,
"question": "Suppose a collection of variables is related by the following definitions: e = t + 6; g = s + 6; f = b + 6; o = p + 7; r = f + 15; q = y + 14; s = e + 13; z = c + 7; y = 18; b = q + 20; c = y + 15; t = z + 14; p = r + 9. Given that y = 18, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"m": "f + 7", "n": "m + 6", "j": "n + 10", "s": "j + 15", "b": "s + 3", "y": "b + 2", "u": "f + 11", "o": "u + 8", "k": "o + 7", "x": "k + 15", "w": "x + 7", "z": "w + 3", "f": 9}, "premises": {"f": 9}, "target": "y"}, "answer": {"steps": [["b", "s + 3", "s + 5"], ["s", "j + 15", "j + 20"], ["j", "n + 10", "n + 30"], ["n", "m + 6", "m + 36"], ["m", "f + 7", "f + 43"], ["f", 9, "52"]], "target_var_name": "y", "target_value": 52, "value_dict": {"f": 9}, "is_reverse": true}} | 11,442 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = s + 3; j = n + 10; x = k + 15; m = f + 7; z = w + 3; y = b + 2; u = f + 11; f = 9; s = j + 15; n = m + 6; k = o + 7; o = u + 8; w = x + 7. If f = 9, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = s + 3 to y, which gives y = s + 5.\n2. Substitute s = j + 15 to y, which gives y = j + 20.\n3. Substitute j = n + 10 to y, which gives y = n + 30.\n4. Substitute n = m + 6 to y, which gives y = m + 36.\n5. Substitute m = f + 7 to y, which gives y = f + 43.\n6. Substitute f = 9 to y, which gives y = 52.\n\nThus, the final answer is y = \\boxed{52}.",
"index": 11442,
"question": "Consider a system of variables where each variable is defined as follows: b = s + 3; j = n + 10; x = k + 15; m = f + 7; z = w + 3; y = b + 2; u = f + 11; f = 9; s = j + 15; n = m + 6; k = o + 7; o = u + 8; w = x + 7. If f = 9, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"r": "n + 14", "w": "r + 5", "a": "w + 11", "p": "a + 16", "g": "p + 15", "v": "g + 3", "z": "n + 7", "y": "z + 15", "e": "y + 16", "f": "e + 19", "l": "f + 19", "o": "l + 15", "n": 7}, "premises": {"n": 7}, "target": "v"}, "answer": {"steps": [["g", "p + 15", "p + 18"], ["p", "a + 16", "a + 34"], ["a", "w + 11", "w + 45"], ["w", "r + 5", "r + 50"], ["r", "n + 14", "n + 64"], ["n", 7, "71"]], "target_var_name": "v", "target_value": 71, "value_dict": {"n": 7}, "is_reverse": true}} | 11,443 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = e + 19; w = r + 5; g = p + 15; r = n + 14; n = 7; p = a + 16; y = z + 15; e = y + 16; z = n + 7; l = f + 19; v = g + 3; o = l + 15; a = w + 11. Given that n = 7, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = p + 15 to v, which gives v = p + 18.\n2. Substitute p = a + 16 to v, which gives v = a + 34.\n3. Substitute a = w + 11 to v, which gives v = w + 45.\n4. Substitute w = r + 5 to v, which gives v = r + 50.\n5. Substitute r = n + 14 to v, which gives v = n + 64.\n6. Substitute n = 7 to v, which gives v = 71.\n\nThus, the final answer is v = \\boxed{71}.",
"index": 11443,
"question": "Suppose a collection of variables is related by the following definitions: f = e + 19; w = r + 5; g = p + 15; r = n + 14; n = 7; p = a + 16; y = z + 15; e = y + 16; z = n + 7; l = f + 19; v = g + 3; o = l + 15; a = w + 11. Given that n = 7, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"k": "u + 14", "l": "k + 20", "h": "l + 15", "j": "h + 5", "g": "j + 18", "e": "g + 9", "m": "u + 3", "a": "m + 14", "f": "a + 19", "b": "f + 17", "z": "b + 11", "d": "z + 11", "u": 10}, "premises": {"u": 10}, "target": "e"}, "answer": {"steps": [["g", "j + 18", "j + 27"], ["j", "h + 5", "h + 32"], ["h", "l + 15", "l + 47"], ["l", "k + 20", "k + 67"], ["k", "u + 14", "u + 81"], ["u", 10, "91"]], "target_var_name": "e", "target_value": 91, "value_dict": {"u": 10}, "is_reverse": true}} | 11,444 | 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 = 10; z = b + 11; g = j + 18; k = u + 14; m = u + 3; f = a + 19; h = l + 15; j = h + 5; d = z + 11; e = g + 9; a = m + 14; l = k + 20; b = f + 17. If u = 10, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = j + 18 to e, which gives e = j + 27.\n2. Substitute j = h + 5 to e, which gives e = h + 32.\n3. Substitute h = l + 15 to e, which gives e = l + 47.\n4. Substitute l = k + 20 to e, which gives e = k + 67.\n5. Substitute k = u + 14 to e, which gives e = u + 81.\n6. Substitute u = 10 to e, which gives e = 91.\n\nThus, the final answer is e = \\boxed{91}.",
"index": 11444,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = 10; z = b + 11; g = j + 18; k = u + 14; m = u + 3; f = a + 19; h = l + 15; j = h + 5; d = z + 11; e = g + 9; a = m + 14; l = k + 20; b = f + 17. If u = 10, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"v": "j + 3", "s": "v + 4", "p": "s + 10", "w": "p + 11", "h": "w + 7", "g": "h + 18", "i": "j + 5", "r": "i + 15", "m": "r + 13", "k": "m + 5", "e": "k + 18", "u": "e + 8", "j": 18}, "premises": {"j": 18}, "target": "g"}, "answer": {"steps": [["h", "w + 7", "w + 25"], ["w", "p + 11", "p + 36"], ["p", "s + 10", "s + 46"], ["s", "v + 4", "v + 50"], ["v", "j + 3", "j + 53"], ["j", 18, "71"]], "target_var_name": "g", "target_value": 71, "value_dict": {"j": 18}, "is_reverse": true}} | 11,445 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = j + 5; v = j + 3; m = r + 13; j = 18; k = m + 5; h = w + 7; w = p + 11; p = s + 10; g = h + 18; s = v + 4; u = e + 8; e = k + 18; r = i + 15. Given that j = 18, find the 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 h = w + 7 to g, which gives g = w + 25.\n2. Substitute w = p + 11 to g, which gives g = p + 36.\n3. Substitute p = s + 10 to g, which gives g = s + 46.\n4. Substitute s = v + 4 to g, which gives g = v + 50.\n5. Substitute v = j + 3 to g, which gives g = j + 53.\n6. Substitute j = 18 to g, which gives g = 71.\n\nThus, the final answer is g = \\boxed{71}.",
"index": 11445,
"question": "Suppose a collection of variables is related by the following definitions: i = j + 5; v = j + 3; m = r + 13; j = 18; k = m + 5; h = w + 7; w = p + 11; p = s + 10; g = h + 18; s = v + 4; u = e + 8; e = k + 18; r = i + 15. Given that j = 18, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"h": "l + 17", "k": "h + 8", "y": "k + 4", "g": "y + 3", "d": "g + 2", "t": "d + 18", "z": "l + 8", "e": "z + 9", "i": "e + 7", "u": "i + 1", "w": "u + 18", "s": "w + 8", "l": 4}, "premises": {"l": 4}, "target": "t"}, "answer": {"steps": [["d", "g + 2", "g + 20"], ["g", "y + 3", "y + 23"], ["y", "k + 4", "k + 27"], ["k", "h + 8", "h + 35"], ["h", "l + 17", "l + 52"], ["l", 4, "56"]], "target_var_name": "t", "target_value": 56, "value_dict": {"l": 4}, "is_reverse": true}} | 11,446 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = y + 3; s = w + 8; z = l + 8; k = h + 8; u = i + 1; y = k + 4; e = z + 9; d = g + 2; i = e + 7; l = 4; w = u + 18; t = d + 18; h = l + 17. Given that l = 4, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = g + 2 to t, which gives t = g + 20.\n2. Substitute g = y + 3 to t, which gives t = y + 23.\n3. Substitute y = k + 4 to t, which gives t = k + 27.\n4. Substitute k = h + 8 to t, which gives t = h + 35.\n5. Substitute h = l + 17 to t, which gives t = l + 52.\n6. Substitute l = 4 to t, which gives t = 56.\n\nThus, the final answer is t = \\boxed{56}.",
"index": 11446,
"question": "Suppose a collection of variables is related by the following definitions: g = y + 3; s = w + 8; z = l + 8; k = h + 8; u = i + 1; y = k + 4; e = z + 9; d = g + 2; i = e + 7; l = 4; w = u + 18; t = d + 18; h = l + 17. Given that l = 4, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"s": "k + 20", "m": "s + 19", "h": "m + 12", "p": "h + 9", "n": "p + 1", "l": "n + 19", "y": "k + 9", "j": "y + 2", "a": "j + 6", "o": "a + 8", "u": "o + 11", "v": "u + 15", "k": 6}, "premises": {"k": 6}, "target": "l"}, "answer": {"steps": [["n", "p + 1", "p + 20"], ["p", "h + 9", "h + 29"], ["h", "m + 12", "m + 41"], ["m", "s + 19", "s + 60"], ["s", "k + 20", "k + 80"], ["k", 6, "86"]], "target_var_name": "l", "target_value": 86, "value_dict": {"k": 6}, "is_reverse": true}} | 11,447 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = 6; y = k + 9; a = j + 6; j = y + 2; h = m + 12; u = o + 11; l = n + 19; o = a + 8; m = s + 19; s = k + 20; n = p + 1; p = h + 9; v = u + 15. Given that k = 6, find 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 n = p + 1 to l, which gives l = p + 20.\n2. Substitute p = h + 9 to l, which gives l = h + 29.\n3. Substitute h = m + 12 to l, which gives l = m + 41.\n4. Substitute m = s + 19 to l, which gives l = s + 60.\n5. Substitute s = k + 20 to l, which gives l = k + 80.\n6. Substitute k = 6 to l, which gives l = 86.\n\nThus, the final answer is l = \\boxed{86}.",
"index": 11447,
"question": "Suppose a collection of variables is related by the following definitions: k = 6; y = k + 9; a = j + 6; j = y + 2; h = m + 12; u = o + 11; l = n + 19; o = a + 8; m = s + 19; s = k + 20; n = p + 1; p = h + 9; v = u + 15. Given that k = 6, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"k": "m + 16", "o": "k + 3", "z": "o + 13", "y": "z + 10", "u": "y + 10", "f": "u + 12", "w": "m + 11", "e": "w + 12", "a": "e + 4", "i": "a + 5", "x": "i + 17", "n": "x + 19", "m": 20}, "premises": {"m": 20}, "target": "f"}, "answer": {"steps": [["u", "y + 10", "y + 22"], ["y", "z + 10", "z + 32"], ["z", "o + 13", "o + 45"], ["o", "k + 3", "k + 48"], ["k", "m + 16", "m + 64"], ["m", 20, "84"]], "target_var_name": "f", "target_value": 84, "value_dict": {"m": 20}, "is_reverse": true}} | 11,448 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = a + 5; y = z + 10; w = m + 11; u = y + 10; z = o + 13; a = e + 4; e = w + 12; n = x + 19; f = u + 12; o = k + 3; x = i + 17; m = 20; k = m + 16. If m = 20, determine 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 u = y + 10 to f, which gives f = y + 22.\n2. Substitute y = z + 10 to f, which gives f = z + 32.\n3. Substitute z = o + 13 to f, which gives f = o + 45.\n4. Substitute o = k + 3 to f, which gives f = k + 48.\n5. Substitute k = m + 16 to f, which gives f = m + 64.\n6. Substitute m = 20 to f, which gives f = 84.\n\nThus, the final answer is f = \\boxed{84}.",
"index": 11448,
"question": "Consider a system of variables where each variable is defined as follows: i = a + 5; y = z + 10; w = m + 11; u = y + 10; z = o + 13; a = e + 4; e = w + 12; n = x + 19; f = u + 12; o = k + 3; x = i + 17; m = 20; k = m + 16. If m = 20, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"z": "q + 20", "c": "z + 18", "b": "c + 4", "d": "b + 16", "h": "d + 9", "a": "h + 3", "x": "q + 13", "v": "x + 8", "s": "v + 6", "e": "s + 8", "w": "e + 18", "y": "w + 6", "q": 14}, "premises": {"q": 14}, "target": "a"}, "answer": {"steps": [["h", "d + 9", "d + 12"], ["d", "b + 16", "b + 28"], ["b", "c + 4", "c + 32"], ["c", "z + 18", "z + 50"], ["z", "q + 20", "q + 70"], ["q", 14, "84"]], "target_var_name": "a", "target_value": 84, "value_dict": {"q": 14}, "is_reverse": true}} | 11,449 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = e + 18; c = z + 18; e = s + 8; y = w + 6; q = 14; a = h + 3; v = x + 8; x = q + 13; h = d + 9; d = b + 16; b = c + 4; z = q + 20; s = v + 6. Given that q = 14, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = d + 9 to a, which gives a = d + 12.\n2. Substitute d = b + 16 to a, which gives a = b + 28.\n3. Substitute b = c + 4 to a, which gives a = c + 32.\n4. Substitute c = z + 18 to a, which gives a = z + 50.\n5. Substitute z = q + 20 to a, which gives a = q + 70.\n6. Substitute q = 14 to a, which gives a = 84.\n\nThus, the final answer is a = \\boxed{84}.",
"index": 11449,
"question": "Suppose a collection of variables is related by the following definitions: w = e + 18; c = z + 18; e = s + 8; y = w + 6; q = 14; a = h + 3; v = x + 8; x = q + 13; h = d + 9; d = b + 16; b = c + 4; z = q + 20; s = v + 6. Given that q = 14, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"f": "r + 20", "y": "f + 8", "z": "y + 15", "b": "z + 20", "d": "b + 14", "c": "d + 18", "m": "r + 4", "x": "m + 20", "q": "x + 4", "w": "q + 5", "h": "w + 4", "e": "h + 18", "r": 15}, "premises": {"r": 15}, "target": "c"}, "answer": {"steps": [["d", "b + 14", "b + 32"], ["b", "z + 20", "z + 52"], ["z", "y + 15", "y + 67"], ["y", "f + 8", "f + 75"], ["f", "r + 20", "r + 95"], ["r", 15, "110"]], "target_var_name": "c", "target_value": 110, "value_dict": {"r": 15}, "is_reverse": true}} | 11,450 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = x + 4; m = r + 4; f = r + 20; x = m + 20; c = d + 18; e = h + 18; w = q + 5; z = y + 15; y = f + 8; r = 15; b = z + 20; h = w + 4; d = b + 14. If r = 15, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 110,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = b + 14 to c, which gives c = b + 32.\n2. Substitute b = z + 20 to c, which gives c = z + 52.\n3. Substitute z = y + 15 to c, which gives c = y + 67.\n4. Substitute y = f + 8 to c, which gives c = f + 75.\n5. Substitute f = r + 20 to c, which gives c = r + 95.\n6. Substitute r = 15 to c, which gives c = 110.\n\nThus, the final answer is c = \\boxed{110}.",
"index": 11450,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = x + 4; m = r + 4; f = r + 20; x = m + 20; c = d + 18; e = h + 18; w = q + 5; z = y + 15; y = f + 8; r = 15; b = z + 20; h = w + 4; d = b + 14. If r = 15, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"v": "i + 19", "d": "v + 2", "x": "d + 4", "y": "x + 2", "w": "y + 1", "f": "w + 6", "o": "i + 6", "p": "o + 12", "l": "p + 2", "u": "l + 15", "g": "u + 19", "h": "g + 11", "i": 20}, "premises": {"i": 20}, "target": "f"}, "answer": {"steps": [["w", "y + 1", "y + 7"], ["y", "x + 2", "x + 9"], ["x", "d + 4", "d + 13"], ["d", "v + 2", "v + 15"], ["v", "i + 19", "i + 34"], ["i", 20, "54"]], "target_var_name": "f", "target_value": 54, "value_dict": {"i": 20}, "is_reverse": true}} | 11,451 | 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 = v + 2; l = p + 2; y = x + 2; i = 20; w = y + 1; g = u + 19; v = i + 19; h = g + 11; f = w + 6; o = i + 6; p = o + 12; u = l + 15; x = d + 4. If i = 20, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = y + 1 to f, which gives f = y + 7.\n2. Substitute y = x + 2 to f, which gives f = x + 9.\n3. Substitute x = d + 4 to f, which gives f = d + 13.\n4. Substitute d = v + 2 to f, which gives f = v + 15.\n5. Substitute v = i + 19 to f, which gives f = i + 34.\n6. Substitute i = 20 to f, which gives f = 54.\n\nThus, the final answer is f = \\boxed{54}.",
"index": 11451,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = v + 2; l = p + 2; y = x + 2; i = 20; w = y + 1; g = u + 19; v = i + 19; h = g + 11; f = w + 6; o = i + 6; p = o + 12; u = l + 15; x = d + 4. If i = 20, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"a": "j + 3", "b": "a + 11", "f": "b + 14", "m": "f + 17", "v": "m + 19", "y": "v + 5", "l": "j + 16", "x": "l + 14", "n": "x + 11", "q": "n + 11", "w": "q + 7", "i": "w + 13", "j": 8}, "premises": {"j": 8}, "target": "y"}, "answer": {"steps": [["v", "m + 19", "m + 24"], ["m", "f + 17", "f + 41"], ["f", "b + 14", "b + 55"], ["b", "a + 11", "a + 66"], ["a", "j + 3", "j + 69"], ["j", 8, "77"]], "target_var_name": "y", "target_value": 77, "value_dict": {"j": 8}, "is_reverse": true}} | 11,452 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = m + 19; w = q + 7; b = a + 11; y = v + 5; l = j + 16; j = 8; f = b + 14; i = w + 13; n = x + 11; m = f + 17; q = n + 11; x = l + 14; a = j + 3. Given that j = 8, find 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 v = m + 19 to y, which gives y = m + 24.\n2. Substitute m = f + 17 to y, which gives y = f + 41.\n3. Substitute f = b + 14 to y, which gives y = b + 55.\n4. Substitute b = a + 11 to y, which gives y = a + 66.\n5. Substitute a = j + 3 to y, which gives y = j + 69.\n6. Substitute j = 8 to y, which gives y = 77.\n\nThus, the final answer is y = \\boxed{77}.",
"index": 11452,
"question": "Suppose a collection of variables is related by the following definitions: v = m + 19; w = q + 7; b = a + 11; y = v + 5; l = j + 16; j = 8; f = b + 14; i = w + 13; n = x + 11; m = f + 17; q = n + 11; x = l + 14; a = j + 3. Given that j = 8, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"d": "l + 15", "o": "d + 5", "q": "o + 12", "u": "q + 18", "f": "u + 7", "e": "f + 3", "w": "l + 8", "j": "w + 4", "m": "j + 10", "r": "m + 6", "h": "r + 14", "a": "h + 9", "l": 18}, "premises": {"l": 18}, "target": "e"}, "answer": {"steps": [["f", "u + 7", "u + 10"], ["u", "q + 18", "q + 28"], ["q", "o + 12", "o + 40"], ["o", "d + 5", "d + 45"], ["d", "l + 15", "l + 60"], ["l", 18, "78"]], "target_var_name": "e", "target_value": 78, "value_dict": {"l": 18}, "is_reverse": true}} | 11,453 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = l + 15; q = o + 12; f = u + 7; w = l + 8; u = q + 18; a = h + 9; o = d + 5; j = w + 4; r = m + 6; m = j + 10; e = f + 3; h = r + 14; l = 18. If l = 18, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = u + 7 to e, which gives e = u + 10.\n2. Substitute u = q + 18 to e, which gives e = q + 28.\n3. Substitute q = o + 12 to e, which gives e = o + 40.\n4. Substitute o = d + 5 to e, which gives e = d + 45.\n5. Substitute d = l + 15 to e, which gives e = l + 60.\n6. Substitute l = 18 to e, which gives e = 78.\n\nThus, the final answer is e = \\boxed{78}.",
"index": 11453,
"question": "Consider a system of variables where each variable is defined as follows: d = l + 15; q = o + 12; f = u + 7; w = l + 8; u = q + 18; a = h + 9; o = d + 5; j = w + 4; r = m + 6; m = j + 10; e = f + 3; h = r + 14; l = 18. If l = 18, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"o": "n + 17", "z": "o + 2", "b": "z + 5", "p": "b + 4", "h": "p + 11", "x": "h + 2", "v": "n + 2", "q": "v + 3", "d": "q + 19", "i": "d + 20", "j": "i + 17", "a": "j + 7", "n": 17}, "premises": {"n": 17}, "target": "x"}, "answer": {"steps": [["h", "p + 11", "p + 13"], ["p", "b + 4", "b + 17"], ["b", "z + 5", "z + 22"], ["z", "o + 2", "o + 24"], ["o", "n + 17", "n + 41"], ["n", 17, "58"]], "target_var_name": "x", "target_value": 58, "value_dict": {"n": 17}, "is_reverse": true}} | 11,454 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = 17; x = h + 2; h = p + 11; p = b + 4; a = j + 7; v = n + 2; b = z + 5; o = n + 17; i = d + 20; d = q + 19; z = o + 2; q = v + 3; j = i + 17. If n = 17, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = p + 11 to x, which gives x = p + 13.\n2. Substitute p = b + 4 to x, which gives x = b + 17.\n3. Substitute b = z + 5 to x, which gives x = z + 22.\n4. Substitute z = o + 2 to x, which gives x = o + 24.\n5. Substitute o = n + 17 to x, which gives x = n + 41.\n6. Substitute n = 17 to x, which gives x = 58.\n\nThus, the final answer is x = \\boxed{58}.",
"index": 11454,
"question": "Consider a system of variables where each variable is defined as follows: n = 17; x = h + 2; h = p + 11; p = b + 4; a = j + 7; v = n + 2; b = z + 5; o = n + 17; i = d + 20; d = q + 19; z = o + 2; q = v + 3; j = i + 17. If n = 17, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"e": "x + 15", "i": "e + 13", "u": "i + 11", "z": "u + 9", "o": "z + 6", "j": "o + 10", "b": "x + 1", "c": "b + 1", "n": "c + 3", "v": "n + 16", "g": "v + 8", "m": "g + 2", "x": 9}, "premises": {"x": 9}, "target": "j"}, "answer": {"steps": [["o", "z + 6", "z + 16"], ["z", "u + 9", "u + 25"], ["u", "i + 11", "i + 36"], ["i", "e + 13", "e + 49"], ["e", "x + 15", "x + 64"], ["x", 9, "73"]], "target_var_name": "j", "target_value": 73, "value_dict": {"x": 9}, "is_reverse": true}} | 11,455 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = o + 10; x = 9; c = b + 1; o = z + 6; n = c + 3; v = n + 16; z = u + 9; e = x + 15; u = i + 11; b = x + 1; g = v + 8; i = e + 13; m = g + 2. If x = 9, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = z + 6 to j, which gives j = z + 16.\n2. Substitute z = u + 9 to j, which gives j = u + 25.\n3. Substitute u = i + 11 to j, which gives j = i + 36.\n4. Substitute i = e + 13 to j, which gives j = e + 49.\n5. Substitute e = x + 15 to j, which gives j = x + 64.\n6. Substitute x = 9 to j, which gives j = 73.\n\nThus, the final answer is j = \\boxed{73}.",
"index": 11455,
"question": "Consider a system of variables where each variable is defined as follows: j = o + 10; x = 9; c = b + 1; o = z + 6; n = c + 3; v = n + 16; z = u + 9; e = x + 15; u = i + 11; b = x + 1; g = v + 8; i = e + 13; m = g + 2. If x = 9, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"h": "v + 18", "y": "h + 10", "d": "y + 5", "m": "d + 7", "i": "m + 15", "q": "i + 6", "c": "v + 14", "p": "c + 12", "x": "p + 10", "w": "x + 12", "a": "w + 12", "z": "a + 13", "v": 6}, "premises": {"v": 6}, "target": "q"}, "answer": {"steps": [["i", "m + 15", "m + 21"], ["m", "d + 7", "d + 28"], ["d", "y + 5", "y + 33"], ["y", "h + 10", "h + 43"], ["h", "v + 18", "v + 61"], ["v", 6, "67"]], "target_var_name": "q", "target_value": 67, "value_dict": {"v": 6}, "is_reverse": true}} | 11,456 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = x + 12; z = a + 13; c = v + 14; p = c + 12; q = i + 6; y = h + 10; d = y + 5; m = d + 7; h = v + 18; v = 6; x = p + 10; i = m + 15; a = w + 12. If v = 6, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = m + 15 to q, which gives q = m + 21.\n2. Substitute m = d + 7 to q, which gives q = d + 28.\n3. Substitute d = y + 5 to q, which gives q = y + 33.\n4. Substitute y = h + 10 to q, which gives q = h + 43.\n5. Substitute h = v + 18 to q, which gives q = v + 61.\n6. Substitute v = 6 to q, which gives q = 67.\n\nThus, the final answer is q = \\boxed{67}.",
"index": 11456,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = x + 12; z = a + 13; c = v + 14; p = c + 12; q = i + 6; y = h + 10; d = y + 5; m = d + 7; h = v + 18; v = 6; x = p + 10; i = m + 15; a = w + 12. If v = 6, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"h": "u + 19", "l": "h + 9", "z": "l + 16", "r": "z + 11", "c": "r + 16", "o": "c + 7", "x": "u + 19", "v": "x + 2", "i": "v + 8", "a": "i + 18", "p": "a + 12", "y": "p + 13", "u": 19}, "premises": {"u": 19}, "target": "o"}, "answer": {"steps": [["c", "r + 16", "r + 23"], ["r", "z + 11", "z + 34"], ["z", "l + 16", "l + 50"], ["l", "h + 9", "h + 59"], ["h", "u + 19", "u + 78"], ["u", 19, "97"]], "target_var_name": "o", "target_value": 97, "value_dict": {"u": 19}, "is_reverse": true}} | 11,457 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = z + 11; l = h + 9; i = v + 8; h = u + 19; a = i + 18; v = x + 2; x = u + 19; o = c + 7; z = l + 16; c = r + 16; y = p + 13; p = a + 12; u = 19. If u = 19, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = r + 16 to o, which gives o = r + 23.\n2. Substitute r = z + 11 to o, which gives o = z + 34.\n3. Substitute z = l + 16 to o, which gives o = l + 50.\n4. Substitute l = h + 9 to o, which gives o = h + 59.\n5. Substitute h = u + 19 to o, which gives o = u + 78.\n6. Substitute u = 19 to o, which gives o = 97.\n\nThus, the final answer is o = \\boxed{97}.",
"index": 11457,
"question": "Consider a system of variables where each variable is defined as follows: r = z + 11; l = h + 9; i = v + 8; h = u + 19; a = i + 18; v = x + 2; x = u + 19; o = c + 7; z = l + 16; c = r + 16; y = p + 13; p = a + 12; u = 19. If u = 19, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"a": "h + 13", "e": "a + 4", "b": "e + 4", "u": "b + 12", "w": "u + 15", "i": "w + 1", "q": "h + 12", "j": "q + 11", "c": "j + 3", "f": "c + 18", "l": "f + 2", "m": "l + 11", "h": 8}, "premises": {"h": 8}, "target": "i"}, "answer": {"steps": [["w", "u + 15", "u + 16"], ["u", "b + 12", "b + 28"], ["b", "e + 4", "e + 32"], ["e", "a + 4", "a + 36"], ["a", "h + 13", "h + 49"], ["h", 8, "57"]], "target_var_name": "i", "target_value": 57, "value_dict": {"h": 8}, "is_reverse": true}} | 11,458 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = h + 13; q = h + 12; h = 8; f = c + 18; j = q + 11; l = f + 2; u = b + 12; e = a + 4; w = u + 15; i = w + 1; b = e + 4; m = l + 11; c = j + 3. If h = 8, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = u + 15 to i, which gives i = u + 16.\n2. Substitute u = b + 12 to i, which gives i = b + 28.\n3. Substitute b = e + 4 to i, which gives i = e + 32.\n4. Substitute e = a + 4 to i, which gives i = a + 36.\n5. Substitute a = h + 13 to i, which gives i = h + 49.\n6. Substitute h = 8 to i, which gives i = 57.\n\nThus, the final answer is i = \\boxed{57}.",
"index": 11458,
"question": "Consider a system of variables where each variable is defined as follows: a = h + 13; q = h + 12; h = 8; f = c + 18; j = q + 11; l = f + 2; u = b + 12; e = a + 4; w = u + 15; i = w + 1; b = e + 4; m = l + 11; c = j + 3. If h = 8, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"p": "y + 8", "u": "p + 20", "q": "u + 11", "z": "q + 2", "k": "z + 18", "d": "k + 10", "t": "y + 12", "e": "t + 7", "m": "e + 20", "s": "m + 14", "f": "s + 10", "w": "f + 15", "y": 10}, "premises": {"y": 10}, "target": "d"}, "answer": {"steps": [["k", "z + 18", "z + 28"], ["z", "q + 2", "q + 30"], ["q", "u + 11", "u + 41"], ["u", "p + 20", "p + 61"], ["p", "y + 8", "y + 69"], ["y", 10, "79"]], "target_var_name": "d", "target_value": 79, "value_dict": {"y": 10}, "is_reverse": true}} | 11,459 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = t + 7; z = q + 2; f = s + 10; k = z + 18; d = k + 10; w = f + 15; s = m + 14; u = p + 20; m = e + 20; y = 10; q = u + 11; t = y + 12; p = y + 8. Given that y = 10, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = z + 18 to d, which gives d = z + 28.\n2. Substitute z = q + 2 to d, which gives d = q + 30.\n3. Substitute q = u + 11 to d, which gives d = u + 41.\n4. Substitute u = p + 20 to d, which gives d = p + 61.\n5. Substitute p = y + 8 to d, which gives d = y + 69.\n6. Substitute y = 10 to d, which gives d = 79.\n\nThus, the final answer is d = \\boxed{79}.",
"index": 11459,
"question": "Suppose a collection of variables is related by the following definitions: e = t + 7; z = q + 2; f = s + 10; k = z + 18; d = k + 10; w = f + 15; s = m + 14; u = p + 20; m = e + 20; y = 10; q = u + 11; t = y + 12; p = y + 8. Given that y = 10, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"f": "k + 19", "p": "f + 1", "m": "p + 7", "r": "m + 20", "n": "r + 15", "l": "n + 1", "d": "k + 20", "v": "d + 7", "w": "v + 1", "y": "w + 5", "s": "y + 10", "g": "s + 16", "k": 19}, "premises": {"k": 19}, "target": "l"}, "answer": {"steps": [["n", "r + 15", "r + 16"], ["r", "m + 20", "m + 36"], ["m", "p + 7", "p + 43"], ["p", "f + 1", "f + 44"], ["f", "k + 19", "k + 63"], ["k", 19, "82"]], "target_var_name": "l", "target_value": 82, "value_dict": {"k": 19}, "is_reverse": true}} | 11,460 | 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 = d + 7; f = k + 19; p = f + 1; l = n + 1; s = y + 10; r = m + 20; d = k + 20; k = 19; n = r + 15; w = v + 1; g = s + 16; m = p + 7; y = w + 5. If k = 19, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = r + 15 to l, which gives l = r + 16.\n2. Substitute r = m + 20 to l, which gives l = m + 36.\n3. Substitute m = p + 7 to l, which gives l = p + 43.\n4. Substitute p = f + 1 to l, which gives l = f + 44.\n5. Substitute f = k + 19 to l, which gives l = k + 63.\n6. Substitute k = 19 to l, which gives l = 82.\n\nThus, the final answer is l = \\boxed{82}.",
"index": 11460,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = d + 7; f = k + 19; p = f + 1; l = n + 1; s = y + 10; r = m + 20; d = k + 20; k = 19; n = r + 15; w = v + 1; g = s + 16; m = p + 7; y = w + 5. If k = 19, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"g": "q + 17", "j": "g + 4", "r": "j + 3", "v": "r + 4", "p": "v + 18", "y": "p + 8", "a": "q + 1", "d": "a + 11", "f": "d + 19", "x": "f + 6", "i": "x + 17", "l": "i + 15", "q": 6}, "premises": {"q": 6}, "target": "y"}, "answer": {"steps": [["p", "v + 18", "v + 26"], ["v", "r + 4", "r + 30"], ["r", "j + 3", "j + 33"], ["j", "g + 4", "g + 37"], ["g", "q + 17", "q + 54"], ["q", 6, "60"]], "target_var_name": "y", "target_value": 60, "value_dict": {"q": 6}, "is_reverse": true}} | 11,461 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = d + 19; v = r + 4; d = a + 11; j = g + 4; x = f + 6; a = q + 1; l = i + 15; q = 6; i = x + 17; p = v + 18; y = p + 8; r = j + 3; g = q + 17. If q = 6, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = v + 18 to y, which gives y = v + 26.\n2. Substitute v = r + 4 to y, which gives y = r + 30.\n3. Substitute r = j + 3 to y, which gives y = j + 33.\n4. Substitute j = g + 4 to y, which gives y = g + 37.\n5. Substitute g = q + 17 to y, which gives y = q + 54.\n6. Substitute q = 6 to y, which gives y = 60.\n\nThus, the final answer is y = \\boxed{60}.",
"index": 11461,
"question": "Consider a system of variables where each variable is defined as follows: f = d + 19; v = r + 4; d = a + 11; j = g + 4; x = f + 6; a = q + 1; l = i + 15; q = 6; i = x + 17; p = v + 18; y = p + 8; r = j + 3; g = q + 17. If q = 6, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"m": "n + 5", "r": "m + 13", "p": "r + 15", "u": "p + 13", "f": "u + 19", "b": "f + 8", "l": "n + 14", "z": "l + 3", "o": "z + 14", "y": "o + 14", "d": "y + 5", "w": "d + 15", "n": 11}, "premises": {"n": 11}, "target": "b"}, "answer": {"steps": [["f", "u + 19", "u + 27"], ["u", "p + 13", "p + 40"], ["p", "r + 15", "r + 55"], ["r", "m + 13", "m + 68"], ["m", "n + 5", "n + 73"], ["n", 11, "84"]], "target_var_name": "b", "target_value": 84, "value_dict": {"n": 11}, "is_reverse": true}} | 11,462 | 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 + 13; w = d + 15; p = r + 15; m = n + 5; z = l + 3; d = y + 5; r = m + 13; f = u + 19; o = z + 14; y = o + 14; b = f + 8; l = n + 14; n = 11. If n = 11, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = u + 19 to b, which gives b = u + 27.\n2. Substitute u = p + 13 to b, which gives b = p + 40.\n3. Substitute p = r + 15 to b, which gives b = r + 55.\n4. Substitute r = m + 13 to b, which gives b = m + 68.\n5. Substitute m = n + 5 to b, which gives b = n + 73.\n6. Substitute n = 11 to b, which gives b = 84.\n\nThus, the final answer is b = \\boxed{84}.",
"index": 11462,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = p + 13; w = d + 15; p = r + 15; m = n + 5; z = l + 3; d = y + 5; r = m + 13; f = u + 19; o = z + 14; y = o + 14; b = f + 8; l = n + 14; n = 11. If n = 11, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"o": "m + 18", "w": "o + 18", "g": "w + 18", "h": "g + 16", "j": "h + 5", "x": "j + 9", "u": "m + 6", "y": "u + 18", "q": "y + 12", "f": "q + 3", "b": "f + 1", "p": "b + 10", "m": 7}, "premises": {"m": 7}, "target": "x"}, "answer": {"steps": [["j", "h + 5", "h + 14"], ["h", "g + 16", "g + 30"], ["g", "w + 18", "w + 48"], ["w", "o + 18", "o + 66"], ["o", "m + 18", "m + 84"], ["m", 7, "91"]], "target_var_name": "x", "target_value": 91, "value_dict": {"m": 7}, "is_reverse": true}} | 11,463 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = y + 12; b = f + 1; f = q + 3; p = b + 10; m = 7; j = h + 5; y = u + 18; x = j + 9; h = g + 16; w = o + 18; o = m + 18; g = w + 18; u = m + 6. If m = 7, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = h + 5 to x, which gives x = h + 14.\n2. Substitute h = g + 16 to x, which gives x = g + 30.\n3. Substitute g = w + 18 to x, which gives x = w + 48.\n4. Substitute w = o + 18 to x, which gives x = o + 66.\n5. Substitute o = m + 18 to x, which gives x = m + 84.\n6. Substitute m = 7 to x, which gives x = 91.\n\nThus, the final answer is x = \\boxed{91}.",
"index": 11463,
"question": "Consider a system of variables where each variable is defined as follows: q = y + 12; b = f + 1; f = q + 3; p = b + 10; m = 7; j = h + 5; y = u + 18; x = j + 9; h = g + 16; w = o + 18; o = m + 18; g = w + 18; u = m + 6. If m = 7, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"u": "w + 3", "h": "u + 16", "p": "h + 11", "a": "p + 14", "j": "a + 13", "k": "j + 5", "g": "w + 16", "c": "g + 15", "y": "c + 18", "l": "y + 4", "e": "l + 3", "s": "e + 20", "w": 12}, "premises": {"w": 12}, "target": "k"}, "answer": {"steps": [["j", "a + 13", "a + 18"], ["a", "p + 14", "p + 32"], ["p", "h + 11", "h + 43"], ["h", "u + 16", "u + 59"], ["u", "w + 3", "w + 62"], ["w", 12, "74"]], "target_var_name": "k", "target_value": 74, "value_dict": {"w": 12}, "is_reverse": true}} | 11,464 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = j + 5; e = l + 3; w = 12; a = p + 14; p = h + 11; y = c + 18; g = w + 16; u = w + 3; h = u + 16; c = g + 15; j = a + 13; s = e + 20; l = y + 4. If w = 12, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = a + 13 to k, which gives k = a + 18.\n2. Substitute a = p + 14 to k, which gives k = p + 32.\n3. Substitute p = h + 11 to k, which gives k = h + 43.\n4. Substitute h = u + 16 to k, which gives k = u + 59.\n5. Substitute u = w + 3 to k, which gives k = w + 62.\n6. Substitute w = 12 to k, which gives k = 74.\n\nThus, the final answer is k = \\boxed{74}.",
"index": 11464,
"question": "Consider a system of variables where each variable is defined as follows: k = j + 5; e = l + 3; w = 12; a = p + 14; p = h + 11; y = c + 18; g = w + 16; u = w + 3; h = u + 16; c = g + 15; j = a + 13; s = e + 20; l = y + 4. If w = 12, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"y": "g + 7", "j": "y + 17", "n": "j + 3", "p": "n + 19", "u": "p + 2", "w": "u + 5", "v": "g + 19", "d": "v + 19", "e": "d + 12", "s": "e + 3", "a": "s + 5", "b": "a + 2", "g": 9}, "premises": {"g": 9}, "target": "w"}, "answer": {"steps": [["u", "p + 2", "p + 7"], ["p", "n + 19", "n + 26"], ["n", "j + 3", "j + 29"], ["j", "y + 17", "y + 46"], ["y", "g + 7", "g + 53"], ["g", 9, "62"]], "target_var_name": "w", "target_value": 62, "value_dict": {"g": 9}, "is_reverse": true}} | 11,465 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = j + 3; y = g + 7; g = 9; v = g + 19; u = p + 2; d = v + 19; w = u + 5; e = d + 12; b = a + 2; p = n + 19; j = y + 17; a = s + 5; s = e + 3. If g = 9, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = p + 2 to w, which gives w = p + 7.\n2. Substitute p = n + 19 to w, which gives w = n + 26.\n3. Substitute n = j + 3 to w, which gives w = j + 29.\n4. Substitute j = y + 17 to w, which gives w = y + 46.\n5. Substitute y = g + 7 to w, which gives w = g + 53.\n6. Substitute g = 9 to w, which gives w = 62.\n\nThus, the final answer is w = \\boxed{62}.",
"index": 11465,
"question": "Consider a system of variables where each variable is defined as follows: n = j + 3; y = g + 7; g = 9; v = g + 19; u = p + 2; d = v + 19; w = u + 5; e = d + 12; b = a + 2; p = n + 19; j = y + 17; a = s + 5; s = e + 3. If g = 9, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"u": "p + 16", "l": "u + 7", "c": "l + 7", "i": "c + 14", "n": "i + 2", "h": "n + 11", "y": "p + 15", "g": "y + 6", "r": "g + 5", "t": "r + 8", "v": "t + 14", "j": "v + 8", "p": 18}, "premises": {"p": 18}, "target": "h"}, "answer": {"steps": [["n", "i + 2", "i + 13"], ["i", "c + 14", "c + 27"], ["c", "l + 7", "l + 34"], ["l", "u + 7", "u + 41"], ["u", "p + 16", "p + 57"], ["p", 18, "75"]], "target_var_name": "h", "target_value": 75, "value_dict": {"p": 18}, "is_reverse": true}} | 11,466 | 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 = y + 6; t = r + 8; p = 18; j = v + 8; u = p + 16; l = u + 7; c = l + 7; h = n + 11; v = t + 14; y = p + 15; n = i + 2; r = g + 5; i = c + 14. If p = 18, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = i + 2 to h, which gives h = i + 13.\n2. Substitute i = c + 14 to h, which gives h = c + 27.\n3. Substitute c = l + 7 to h, which gives h = l + 34.\n4. Substitute l = u + 7 to h, which gives h = u + 41.\n5. Substitute u = p + 16 to h, which gives h = p + 57.\n6. Substitute p = 18 to h, which gives h = 75.\n\nThus, the final answer is h = \\boxed{75}.",
"index": 11466,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = y + 6; t = r + 8; p = 18; j = v + 8; u = p + 16; l = u + 7; c = l + 7; h = n + 11; v = t + 14; y = p + 15; n = i + 2; r = g + 5; i = c + 14. If p = 18, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"g": "j + 10", "c": "g + 9", "o": "c + 16", "r": "o + 8", "a": "r + 6", "h": "a + 14", "p": "j + 17", "t": "p + 6", "e": "t + 13", "q": "e + 4", "x": "q + 19", "n": "x + 16", "j": 15}, "premises": {"j": 15}, "target": "h"}, "answer": {"steps": [["a", "r + 6", "r + 20"], ["r", "o + 8", "o + 28"], ["o", "c + 16", "c + 44"], ["c", "g + 9", "g + 53"], ["g", "j + 10", "j + 63"], ["j", 15, "78"]], "target_var_name": "h", "target_value": 78, "value_dict": {"j": 15}, "is_reverse": true}} | 11,467 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = p + 6; j = 15; e = t + 13; r = o + 8; g = j + 10; c = g + 9; h = a + 14; n = x + 16; q = e + 4; x = q + 19; a = r + 6; o = c + 16; p = j + 17. If j = 15, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = r + 6 to h, which gives h = r + 20.\n2. Substitute r = o + 8 to h, which gives h = o + 28.\n3. Substitute o = c + 16 to h, which gives h = c + 44.\n4. Substitute c = g + 9 to h, which gives h = g + 53.\n5. Substitute g = j + 10 to h, which gives h = j + 63.\n6. Substitute j = 15 to h, which gives h = 78.\n\nThus, the final answer is h = \\boxed{78}.",
"index": 11467,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = p + 6; j = 15; e = t + 13; r = o + 8; g = j + 10; c = g + 9; h = a + 14; n = x + 16; q = e + 4; x = q + 19; a = r + 6; o = c + 16; p = j + 17. If j = 15, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"w": "m + 10", "z": "w + 12", "e": "z + 17", "r": "e + 19", "p": "r + 10", "u": "p + 6", "h": "m + 14", "s": "h + 10", "i": "s + 18", "t": "i + 16", "l": "t + 12", "j": "l + 13", "m": 10}, "premises": {"m": 10}, "target": "u"}, "answer": {"steps": [["p", "r + 10", "r + 16"], ["r", "e + 19", "e + 35"], ["e", "z + 17", "z + 52"], ["z", "w + 12", "w + 64"], ["w", "m + 10", "m + 74"], ["m", 10, "84"]], "target_var_name": "u", "target_value": 84, "value_dict": {"m": 10}, "is_reverse": true}} | 11,468 | 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 = w + 12; m = 10; h = m + 14; j = l + 13; r = e + 19; i = s + 18; s = h + 10; p = r + 10; t = i + 16; e = z + 17; l = t + 12; w = m + 10; u = p + 6. If m = 10, what is the resulting 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 p = r + 10 to u, which gives u = r + 16.\n2. Substitute r = e + 19 to u, which gives u = e + 35.\n3. Substitute e = z + 17 to u, which gives u = z + 52.\n4. Substitute z = w + 12 to u, which gives u = w + 64.\n5. Substitute w = m + 10 to u, which gives u = m + 74.\n6. Substitute m = 10 to u, which gives u = 84.\n\nThus, the final answer is u = \\boxed{84}.",
"index": 11468,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = w + 12; m = 10; h = m + 14; j = l + 13; r = e + 19; i = s + 18; s = h + 10; p = r + 10; t = i + 16; e = z + 17; l = t + 12; w = m + 10; u = p + 6. If m = 10, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"j": "y + 3", "x": "j + 5", "l": "x + 13", "c": "l + 11", "g": "c + 14", "f": "g + 6", "m": "y + 18", "w": "m + 13", "r": "w + 4", "z": "r + 15", "d": "z + 1", "u": "d + 17", "y": 5}, "premises": {"y": 5}, "target": "f"}, "answer": {"steps": [["g", "c + 14", "c + 20"], ["c", "l + 11", "l + 31"], ["l", "x + 13", "x + 44"], ["x", "j + 5", "j + 49"], ["j", "y + 3", "y + 52"], ["y", 5, "57"]], "target_var_name": "f", "target_value": 57, "value_dict": {"y": 5}, "is_reverse": true}} | 11,469 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = z + 1; g = c + 14; j = y + 3; y = 5; u = d + 17; r = w + 4; z = r + 15; m = y + 18; c = l + 11; f = g + 6; x = j + 5; w = m + 13; l = x + 13. Given that y = 5, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = c + 14 to f, which gives f = c + 20.\n2. Substitute c = l + 11 to f, which gives f = l + 31.\n3. Substitute l = x + 13 to f, which gives f = x + 44.\n4. Substitute x = j + 5 to f, which gives f = j + 49.\n5. Substitute j = y + 3 to f, which gives f = y + 52.\n6. Substitute y = 5 to f, which gives f = 57.\n\nThus, the final answer is f = \\boxed{57}.",
"index": 11469,
"question": "Suppose a collection of variables is related by the following definitions: d = z + 1; g = c + 14; j = y + 3; y = 5; u = d + 17; r = w + 4; z = r + 15; m = y + 18; c = l + 11; f = g + 6; x = j + 5; w = m + 13; l = x + 13. Given that y = 5, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"d": "g + 7", "b": "d + 4", "f": "b + 1", "x": "f + 11", "v": "x + 17", "u": "v + 8", "n": "g + 12", "o": "n + 8", "h": "o + 20", "l": "h + 20", "c": "l + 18", "q": "c + 17", "g": 16}, "premises": {"g": 16}, "target": "u"}, "answer": {"steps": [["v", "x + 17", "x + 25"], ["x", "f + 11", "f + 36"], ["f", "b + 1", "b + 37"], ["b", "d + 4", "d + 41"], ["d", "g + 7", "g + 48"], ["g", 16, "64"]], "target_var_name": "u", "target_value": 64, "value_dict": {"g": 16}, "is_reverse": true}} | 11,470 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = h + 20; d = g + 7; h = o + 20; q = c + 17; n = g + 12; x = f + 11; f = b + 1; g = 16; o = n + 8; v = x + 17; u = v + 8; b = d + 4; c = l + 18. If g = 16, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = x + 17 to u, which gives u = x + 25.\n2. Substitute x = f + 11 to u, which gives u = f + 36.\n3. Substitute f = b + 1 to u, which gives u = b + 37.\n4. Substitute b = d + 4 to u, which gives u = d + 41.\n5. Substitute d = g + 7 to u, which gives u = g + 48.\n6. Substitute g = 16 to u, which gives u = 64.\n\nThus, the final answer is u = \\boxed{64}.",
"index": 11470,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = h + 20; d = g + 7; h = o + 20; q = c + 17; n = g + 12; x = f + 11; f = b + 1; g = 16; o = n + 8; v = x + 17; u = v + 8; b = d + 4; c = l + 18. If g = 16, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"x": "a + 16", "u": "x + 4", "f": "u + 6", "b": "f + 10", "d": "b + 2", "r": "d + 10", "i": "a + 15", "v": "i + 19", "c": "v + 5", "e": "c + 17", "n": "e + 1", "z": "n + 9", "a": 8}, "premises": {"a": 8}, "target": "r"}, "answer": {"steps": [["d", "b + 2", "b + 12"], ["b", "f + 10", "f + 22"], ["f", "u + 6", "u + 28"], ["u", "x + 4", "x + 32"], ["x", "a + 16", "a + 48"], ["a", 8, "56"]], "target_var_name": "r", "target_value": 56, "value_dict": {"a": 8}, "is_reverse": true}} | 11,471 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = x + 4; n = e + 1; e = c + 17; i = a + 15; a = 8; r = d + 10; v = i + 19; d = b + 2; z = n + 9; b = f + 10; c = v + 5; f = u + 6; x = a + 16. If a = 8, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = b + 2 to r, which gives r = b + 12.\n2. Substitute b = f + 10 to r, which gives r = f + 22.\n3. Substitute f = u + 6 to r, which gives r = u + 28.\n4. Substitute u = x + 4 to r, which gives r = x + 32.\n5. Substitute x = a + 16 to r, which gives r = a + 48.\n6. Substitute a = 8 to r, which gives r = 56.\n\nThus, the final answer is r = \\boxed{56}.",
"index": 11471,
"question": "Consider a system of variables where each variable is defined as follows: u = x + 4; n = e + 1; e = c + 17; i = a + 15; a = 8; r = d + 10; v = i + 19; d = b + 2; z = n + 9; b = f + 10; c = v + 5; f = u + 6; x = a + 16. If a = 8, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"r": "i + 11", "a": "r + 13", "k": "a + 18", "p": "k + 16", "n": "p + 3", "d": "n + 15", "f": "i + 15", "l": "f + 14", "w": "l + 9", "y": "w + 5", "c": "y + 7", "s": "c + 19", "i": 17}, "premises": {"i": 17}, "target": "d"}, "answer": {"steps": [["n", "p + 3", "p + 18"], ["p", "k + 16", "k + 34"], ["k", "a + 18", "a + 52"], ["a", "r + 13", "r + 65"], ["r", "i + 11", "i + 76"], ["i", 17, "93"]], "target_var_name": "d", "target_value": 93, "value_dict": {"i": 17}, "is_reverse": true}} | 11,472 | 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 = l + 9; f = i + 15; d = n + 15; k = a + 18; y = w + 5; c = y + 7; a = r + 13; s = c + 19; n = p + 3; l = f + 14; p = k + 16; i = 17; r = i + 11. If i = 17, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = p + 3 to d, which gives d = p + 18.\n2. Substitute p = k + 16 to d, which gives d = k + 34.\n3. Substitute k = a + 18 to d, which gives d = a + 52.\n4. Substitute a = r + 13 to d, which gives d = r + 65.\n5. Substitute r = i + 11 to d, which gives d = i + 76.\n6. Substitute i = 17 to d, which gives d = 93.\n\nThus, the final answer is d = \\boxed{93}.",
"index": 11472,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = l + 9; f = i + 15; d = n + 15; k = a + 18; y = w + 5; c = y + 7; a = r + 13; s = c + 19; n = p + 3; l = f + 14; p = k + 16; i = 17; r = i + 11. If i = 17, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"t": "e + 5", "j": "t + 5", "p": "j + 5", "y": "p + 8", "g": "y + 16", "q": "g + 6", "d": "e + 10", "l": "d + 8", "s": "l + 17", "f": "s + 15", "b": "f + 6", "k": "b + 17", "e": 9}, "premises": {"e": 9}, "target": "q"}, "answer": {"steps": [["g", "y + 16", "y + 22"], ["y", "p + 8", "p + 30"], ["p", "j + 5", "j + 35"], ["j", "t + 5", "t + 40"], ["t", "e + 5", "e + 45"], ["e", 9, "54"]], "target_var_name": "q", "target_value": 54, "value_dict": {"e": 9}, "is_reverse": true}} | 11,473 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = l + 17; t = e + 5; p = j + 5; b = f + 6; e = 9; y = p + 8; q = g + 6; g = y + 16; j = t + 5; l = d + 8; d = e + 10; k = b + 17; f = s + 15. If e = 9, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = y + 16 to q, which gives q = y + 22.\n2. Substitute y = p + 8 to q, which gives q = p + 30.\n3. Substitute p = j + 5 to q, which gives q = j + 35.\n4. Substitute j = t + 5 to q, which gives q = t + 40.\n5. Substitute t = e + 5 to q, which gives q = e + 45.\n6. Substitute e = 9 to q, which gives q = 54.\n\nThus, the final answer is q = \\boxed{54}.",
"index": 11473,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = l + 17; t = e + 5; p = j + 5; b = f + 6; e = 9; y = p + 8; q = g + 6; g = y + 16; j = t + 5; l = d + 8; d = e + 10; k = b + 17; f = s + 15. If e = 9, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"l": "g + 12", "a": "l + 17", "n": "a + 11", "p": "n + 7", "f": "p + 14", "t": "f + 7", "u": "g + 3", "s": "u + 19", "z": "s + 6", "j": "z + 18", "i": "j + 4", "e": "i + 3", "g": 20}, "premises": {"g": 20}, "target": "t"}, "answer": {"steps": [["f", "p + 14", "p + 21"], ["p", "n + 7", "n + 28"], ["n", "a + 11", "a + 39"], ["a", "l + 17", "l + 56"], ["l", "g + 12", "g + 68"], ["g", 20, "88"]], "target_var_name": "t", "target_value": 88, "value_dict": {"g": 20}, "is_reverse": true}} | 11,474 | 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 = n + 7; j = z + 18; s = u + 19; f = p + 14; i = j + 4; g = 20; l = g + 12; z = s + 6; u = g + 3; e = i + 3; n = a + 11; t = f + 7; a = l + 17. If g = 20, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = p + 14 to t, which gives t = p + 21.\n2. Substitute p = n + 7 to t, which gives t = n + 28.\n3. Substitute n = a + 11 to t, which gives t = a + 39.\n4. Substitute a = l + 17 to t, which gives t = l + 56.\n5. Substitute l = g + 12 to t, which gives t = g + 68.\n6. Substitute g = 20 to t, which gives t = 88.\n\nThus, the final answer is t = \\boxed{88}.",
"index": 11474,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = n + 7; j = z + 18; s = u + 19; f = p + 14; i = j + 4; g = 20; l = g + 12; z = s + 6; u = g + 3; e = i + 3; n = a + 11; t = f + 7; a = l + 17. If g = 20, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"p": "l + 12", "r": "p + 10", "c": "r + 13", "d": "c + 12", "s": "d + 20", "o": "s + 2", "h": "l + 9", "u": "h + 1", "b": "u + 6", "y": "b + 20", "v": "y + 5", "f": "v + 18", "l": 15}, "premises": {"l": 15}, "target": "o"}, "answer": {"steps": [["s", "d + 20", "d + 22"], ["d", "c + 12", "c + 34"], ["c", "r + 13", "r + 47"], ["r", "p + 10", "p + 57"], ["p", "l + 12", "l + 69"], ["l", 15, "84"]], "target_var_name": "o", "target_value": 84, "value_dict": {"l": 15}, "is_reverse": true}} | 11,475 | 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 = l + 12; y = b + 20; v = y + 5; l = 15; b = u + 6; r = p + 10; u = h + 1; o = s + 2; c = r + 13; s = d + 20; d = c + 12; h = l + 9; f = v + 18. If l = 15, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = d + 20 to o, which gives o = d + 22.\n2. Substitute d = c + 12 to o, which gives o = c + 34.\n3. Substitute c = r + 13 to o, which gives o = r + 47.\n4. Substitute r = p + 10 to o, which gives o = p + 57.\n5. Substitute p = l + 12 to o, which gives o = l + 69.\n6. Substitute l = 15 to o, which gives o = 84.\n\nThus, the final answer is o = \\boxed{84}.",
"index": 11475,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = l + 12; y = b + 20; v = y + 5; l = 15; b = u + 6; r = p + 10; u = h + 1; o = s + 2; c = r + 13; s = d + 20; d = c + 12; h = l + 9; f = v + 18. If l = 15, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"i": "g + 7", "a": "i + 9", "r": "a + 2", "w": "r + 1", "o": "w + 15", "u": "o + 1", "l": "g + 9", "h": "l + 20", "p": "h + 13", "y": "p + 17", "q": "y + 8", "z": "q + 18", "g": 5}, "premises": {"g": 5}, "target": "u"}, "answer": {"steps": [["o", "w + 15", "w + 16"], ["w", "r + 1", "r + 17"], ["r", "a + 2", "a + 19"], ["a", "i + 9", "i + 28"], ["i", "g + 7", "g + 35"], ["g", 5, "40"]], "target_var_name": "u", "target_value": 40, "value_dict": {"g": 5}, "is_reverse": true}} | 11,476 | 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 = i + 9; i = g + 7; p = h + 13; y = p + 17; q = y + 8; u = o + 1; h = l + 20; z = q + 18; l = g + 9; o = w + 15; w = r + 1; g = 5; r = a + 2. If g = 5, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 40,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = w + 15 to u, which gives u = w + 16.\n2. Substitute w = r + 1 to u, which gives u = r + 17.\n3. Substitute r = a + 2 to u, which gives u = a + 19.\n4. Substitute a = i + 9 to u, which gives u = i + 28.\n5. Substitute i = g + 7 to u, which gives u = g + 35.\n6. Substitute g = 5 to u, which gives u = 40.\n\nThus, the final answer is u = \\boxed{40}.",
"index": 11476,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = i + 9; i = g + 7; p = h + 13; y = p + 17; q = y + 8; u = o + 1; h = l + 20; z = q + 18; l = g + 9; o = w + 15; w = r + 1; g = 5; r = a + 2. If g = 5, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"d": "k + 13", "g": "d + 5", "z": "g + 19", "e": "z + 13", "n": "e + 9", "i": "n + 12", "j": "k + 5", "l": "j + 15", "s": "l + 9", "p": "s + 1", "c": "p + 8", "o": "c + 13", "k": 2}, "premises": {"k": 2}, "target": "i"}, "answer": {"steps": [["n", "e + 9", "e + 21"], ["e", "z + 13", "z + 34"], ["z", "g + 19", "g + 53"], ["g", "d + 5", "d + 58"], ["d", "k + 13", "k + 71"], ["k", 2, "73"]], "target_var_name": "i", "target_value": 73, "value_dict": {"k": 2}, "is_reverse": true}} | 11,477 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = z + 13; j = k + 5; z = g + 19; o = c + 13; p = s + 1; s = l + 9; g = d + 5; n = e + 9; k = 2; d = k + 13; l = j + 15; i = n + 12; c = p + 8. Given that k = 2, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = e + 9 to i, which gives i = e + 21.\n2. Substitute e = z + 13 to i, which gives i = z + 34.\n3. Substitute z = g + 19 to i, which gives i = g + 53.\n4. Substitute g = d + 5 to i, which gives i = d + 58.\n5. Substitute d = k + 13 to i, which gives i = k + 71.\n6. Substitute k = 2 to i, which gives i = 73.\n\nThus, the final answer is i = \\boxed{73}.",
"index": 11477,
"question": "Suppose a collection of variables is related by the following definitions: e = z + 13; j = k + 5; z = g + 19; o = c + 13; p = s + 1; s = l + 9; g = d + 5; n = e + 9; k = 2; d = k + 13; l = j + 15; i = n + 12; c = p + 8. Given that k = 2, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"t": "h + 15", "v": "t + 7", "x": "v + 7", "a": "x + 19", "u": "a + 10", "m": "u + 5", "b": "h + 17", "z": "b + 16", "w": "z + 8", "s": "w + 5", "n": "s + 12", "d": "n + 17", "h": 4}, "premises": {"h": 4}, "target": "m"}, "answer": {"steps": [["u", "a + 10", "a + 15"], ["a", "x + 19", "x + 34"], ["x", "v + 7", "v + 41"], ["v", "t + 7", "t + 48"], ["t", "h + 15", "h + 63"], ["h", 4, "67"]], "target_var_name": "m", "target_value": 67, "value_dict": {"h": 4}, "is_reverse": true}} | 11,478 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = s + 12; s = w + 5; v = t + 7; w = z + 8; d = n + 17; x = v + 7; m = u + 5; u = a + 10; z = b + 16; a = x + 19; h = 4; t = h + 15; b = h + 17. Given that h = 4, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = a + 10 to m, which gives m = a + 15.\n2. Substitute a = x + 19 to m, which gives m = x + 34.\n3. Substitute x = v + 7 to m, which gives m = v + 41.\n4. Substitute v = t + 7 to m, which gives m = t + 48.\n5. Substitute t = h + 15 to m, which gives m = h + 63.\n6. Substitute h = 4 to m, which gives m = 67.\n\nThus, the final answer is m = \\boxed{67}.",
"index": 11478,
"question": "Suppose a collection of variables is related by the following definitions: n = s + 12; s = w + 5; v = t + 7; w = z + 8; d = n + 17; x = v + 7; m = u + 5; u = a + 10; z = b + 16; a = x + 19; h = 4; t = h + 15; b = h + 17. Given that h = 4, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"z": "g + 3", "o": "z + 16", "k": "o + 16", "q": "k + 14", "v": "q + 6", "y": "v + 8", "i": "g + 9", "l": "i + 7", "c": "l + 14", "p": "c + 19", "f": "p + 7", "e": "f + 13", "g": 12}, "premises": {"g": 12}, "target": "y"}, "answer": {"steps": [["v", "q + 6", "q + 14"], ["q", "k + 14", "k + 28"], ["k", "o + 16", "o + 44"], ["o", "z + 16", "z + 60"], ["z", "g + 3", "g + 63"], ["g", 12, "75"]], "target_var_name": "y", "target_value": 75, "value_dict": {"g": 12}, "is_reverse": true}} | 11,479 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = v + 8; v = q + 6; k = o + 16; e = f + 13; i = g + 9; l = i + 7; p = c + 19; q = k + 14; o = z + 16; c = l + 14; f = p + 7; g = 12; z = g + 3. If g = 12, 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 v = q + 6 to y, which gives y = q + 14.\n2. Substitute q = k + 14 to y, which gives y = k + 28.\n3. Substitute k = o + 16 to y, which gives y = o + 44.\n4. Substitute o = z + 16 to y, which gives y = z + 60.\n5. Substitute z = g + 3 to y, which gives y = g + 63.\n6. Substitute g = 12 to y, which gives y = 75.\n\nThus, the final answer is y = \\boxed{75}.",
"index": 11479,
"question": "Consider a system of variables where each variable is defined as follows: y = v + 8; v = q + 6; k = o + 16; e = f + 13; i = g + 9; l = i + 7; p = c + 19; q = k + 14; o = z + 16; c = l + 14; f = p + 7; g = 12; z = g + 3. If g = 12, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"q": "j + 4", "a": "q + 7", "r": "a + 3", "c": "r + 6", "b": "c + 8", "l": "b + 12", "z": "j + 3", "e": "z + 10", "v": "e + 3", "x": "v + 9", "g": "x + 6", "t": "g + 10", "j": 1}, "premises": {"j": 1}, "target": "l"}, "answer": {"steps": [["b", "c + 8", "c + 20"], ["c", "r + 6", "r + 26"], ["r", "a + 3", "a + 29"], ["a", "q + 7", "q + 36"], ["q", "j + 4", "j + 40"], ["j", 1, "41"]], "target_var_name": "l", "target_value": 41, "value_dict": {"j": 1}, "is_reverse": true}} | 11,480 | 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 + 3; l = b + 12; v = e + 3; b = c + 8; g = x + 6; c = r + 6; x = v + 9; j = 1; t = g + 10; r = a + 3; e = z + 10; q = j + 4; a = q + 7. If j = 1, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 41,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = c + 8 to l, which gives l = c + 20.\n2. Substitute c = r + 6 to l, which gives l = r + 26.\n3. Substitute r = a + 3 to l, which gives l = a + 29.\n4. Substitute a = q + 7 to l, which gives l = q + 36.\n5. Substitute q = j + 4 to l, which gives l = j + 40.\n6. Substitute j = 1 to l, which gives l = 41.\n\nThus, the final answer is l = \\boxed{41}.",
"index": 11480,
"question": "Consider a system of variables where each variable is defined as follows: z = j + 3; l = b + 12; v = e + 3; b = c + 8; g = x + 6; c = r + 6; x = v + 9; j = 1; t = g + 10; r = a + 3; e = z + 10; q = j + 4; a = q + 7. If j = 1, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"q": "s + 6", "r": "q + 9", "x": "r + 19", "a": "x + 12", "b": "a + 4", "j": "b + 13", "g": "s + 13", "u": "g + 6", "y": "u + 7", "p": "y + 6", "v": "p + 20", "m": "v + 17", "s": 20}, "premises": {"s": 20}, "target": "j"}, "answer": {"steps": [["b", "a + 4", "a + 17"], ["a", "x + 12", "x + 29"], ["x", "r + 19", "r + 48"], ["r", "q + 9", "q + 57"], ["q", "s + 6", "s + 63"], ["s", 20, "83"]], "target_var_name": "j", "target_value": 83, "value_dict": {"s": 20}, "is_reverse": true}} | 11,481 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = g + 6; s = 20; q = s + 6; g = s + 13; a = x + 12; r = q + 9; x = r + 19; p = y + 6; b = a + 4; j = b + 13; y = u + 7; v = p + 20; m = v + 17. If s = 20, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = a + 4 to j, which gives j = a + 17.\n2. Substitute a = x + 12 to j, which gives j = x + 29.\n3. Substitute x = r + 19 to j, which gives j = r + 48.\n4. Substitute r = q + 9 to j, which gives j = q + 57.\n5. Substitute q = s + 6 to j, which gives j = s + 63.\n6. Substitute s = 20 to j, which gives j = 83.\n\nThus, the final answer is j = \\boxed{83}.",
"index": 11481,
"question": "Consider a system of variables where each variable is defined as follows: u = g + 6; s = 20; q = s + 6; g = s + 13; a = x + 12; r = q + 9; x = r + 19; p = y + 6; b = a + 4; j = b + 13; y = u + 7; v = p + 20; m = v + 17. If s = 20, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"o": "m + 2", "y": "o + 12", "c": "y + 12", "s": "c + 19", "n": "s + 20", "i": "n + 15", "k": "m + 1", "z": "k + 19", "f": "z + 9", "x": "f + 3", "b": "x + 12", "l": "b + 18", "m": 7}, "premises": {"m": 7}, "target": "i"}, "answer": {"steps": [["n", "s + 20", "s + 35"], ["s", "c + 19", "c + 54"], ["c", "y + 12", "y + 66"], ["y", "o + 12", "o + 78"], ["o", "m + 2", "m + 80"], ["m", 7, "87"]], "target_var_name": "i", "target_value": 87, "value_dict": {"m": 7}, "is_reverse": true}} | 11,482 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = o + 12; x = f + 3; m = 7; z = k + 19; c = y + 12; i = n + 15; b = x + 12; k = m + 1; s = c + 19; o = m + 2; l = b + 18; f = z + 9; n = s + 20. If m = 7, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = s + 20 to i, which gives i = s + 35.\n2. Substitute s = c + 19 to i, which gives i = c + 54.\n3. Substitute c = y + 12 to i, which gives i = y + 66.\n4. Substitute y = o + 12 to i, which gives i = o + 78.\n5. Substitute o = m + 2 to i, which gives i = m + 80.\n6. Substitute m = 7 to i, which gives i = 87.\n\nThus, the final answer is i = \\boxed{87}.",
"index": 11482,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = o + 12; x = f + 3; m = 7; z = k + 19; c = y + 12; i = n + 15; b = x + 12; k = m + 1; s = c + 19; o = m + 2; l = b + 18; f = z + 9; n = s + 20. If m = 7, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"y": "s + 17", "q": "y + 20", "l": "q + 7", "j": "l + 7", "x": "j + 17", "c": "x + 12", "t": "s + 17", "u": "t + 10", "b": "u + 11", "i": "b + 4", "r": "i + 16", "k": "r + 5", "s": 9}, "premises": {"s": 9}, "target": "c"}, "answer": {"steps": [["x", "j + 17", "j + 29"], ["j", "l + 7", "l + 36"], ["l", "q + 7", "q + 43"], ["q", "y + 20", "y + 63"], ["y", "s + 17", "s + 80"], ["s", 9, "89"]], "target_var_name": "c", "target_value": 89, "value_dict": {"s": 9}, "is_reverse": true}} | 11,483 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = t + 10; l = q + 7; b = u + 11; x = j + 17; y = s + 17; r = i + 16; s = 9; i = b + 4; c = x + 12; k = r + 5; j = l + 7; q = y + 20; t = s + 17. If s = 9, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = j + 17 to c, which gives c = j + 29.\n2. Substitute j = l + 7 to c, which gives c = l + 36.\n3. Substitute l = q + 7 to c, which gives c = q + 43.\n4. Substitute q = y + 20 to c, which gives c = y + 63.\n5. Substitute y = s + 17 to c, which gives c = s + 80.\n6. Substitute s = 9 to c, which gives c = 89.\n\nThus, the final answer is c = \\boxed{89}.",
"index": 11483,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = t + 10; l = q + 7; b = u + 11; x = j + 17; y = s + 17; r = i + 16; s = 9; i = b + 4; c = x + 12; k = r + 5; j = l + 7; q = y + 20; t = s + 17. If s = 9, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"y": "r + 13", "u": "y + 16", "c": "u + 19", "j": "c + 1", "z": "j + 13", "q": "z + 19", "s": "r + 12", "n": "s + 3", "w": "n + 8", "l": "w + 10", "h": "l + 8", "o": "h + 12", "r": 4}, "premises": {"r": 4}, "target": "q"}, "answer": {"steps": [["z", "j + 13", "j + 32"], ["j", "c + 1", "c + 33"], ["c", "u + 19", "u + 52"], ["u", "y + 16", "y + 68"], ["y", "r + 13", "r + 81"], ["r", 4, "85"]], "target_var_name": "q", "target_value": 85, "value_dict": {"r": 4}, "is_reverse": true}} | 11,484 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = l + 8; w = n + 8; u = y + 16; q = z + 19; l = w + 10; c = u + 19; s = r + 12; j = c + 1; o = h + 12; r = 4; z = j + 13; n = s + 3; y = r + 13. Given that r = 4, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = j + 13 to q, which gives q = j + 32.\n2. Substitute j = c + 1 to q, which gives q = c + 33.\n3. Substitute c = u + 19 to q, which gives q = u + 52.\n4. Substitute u = y + 16 to q, which gives q = y + 68.\n5. Substitute y = r + 13 to q, which gives q = r + 81.\n6. Substitute r = 4 to q, which gives q = 85.\n\nThus, the final answer is q = \\boxed{85}.",
"index": 11484,
"question": "Suppose a collection of variables is related by the following definitions: h = l + 8; w = n + 8; u = y + 16; q = z + 19; l = w + 10; c = u + 19; s = r + 12; j = c + 1; o = h + 12; r = 4; z = j + 13; n = s + 3; y = r + 13. Given that r = 4, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"q": "g + 11", "t": "q + 6", "c": "t + 9", "z": "c + 20", "m": "z + 7", "r": "m + 6", "u": "g + 4", "e": "u + 15", "x": "e + 17", "f": "x + 11", "h": "f + 6", "l": "h + 17", "g": 5}, "premises": {"g": 5}, "target": "r"}, "answer": {"steps": [["m", "z + 7", "z + 13"], ["z", "c + 20", "c + 33"], ["c", "t + 9", "t + 42"], ["t", "q + 6", "q + 48"], ["q", "g + 11", "g + 59"], ["g", 5, "64"]], "target_var_name": "r", "target_value": 64, "value_dict": {"g": 5}, "is_reverse": true}} | 11,485 | 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 = 5; h = f + 6; r = m + 6; x = e + 17; e = u + 15; f = x + 11; m = z + 7; t = q + 6; u = g + 4; q = g + 11; l = h + 17; z = c + 20; c = t + 9. If g = 5, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = z + 7 to r, which gives r = z + 13.\n2. Substitute z = c + 20 to r, which gives r = c + 33.\n3. Substitute c = t + 9 to r, which gives r = t + 42.\n4. Substitute t = q + 6 to r, which gives r = q + 48.\n5. Substitute q = g + 11 to r, which gives r = g + 59.\n6. Substitute g = 5 to r, which gives r = 64.\n\nThus, the final answer is r = \\boxed{64}.",
"index": 11485,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = 5; h = f + 6; r = m + 6; x = e + 17; e = u + 15; f = x + 11; m = z + 7; t = q + 6; u = g + 4; q = g + 11; l = h + 17; z = c + 20; c = t + 9. If g = 5, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"u": "p + 15", "x": "u + 2", "s": "x + 18", "n": "s + 6", "h": "n + 8", "b": "h + 3", "w": "p + 14", "f": "w + 19", "y": "f + 3", "z": "y + 8", "l": "z + 6", "e": "l + 16", "p": 2}, "premises": {"p": 2}, "target": "b"}, "answer": {"steps": [["h", "n + 8", "n + 11"], ["n", "s + 6", "s + 17"], ["s", "x + 18", "x + 35"], ["x", "u + 2", "u + 37"], ["u", "p + 15", "p + 52"], ["p", 2, "54"]], "target_var_name": "b", "target_value": 54, "value_dict": {"p": 2}, "is_reverse": true}} | 11,486 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = y + 8; e = l + 16; p = 2; b = h + 3; s = x + 18; l = z + 6; n = s + 6; u = p + 15; w = p + 14; y = f + 3; x = u + 2; f = w + 19; h = n + 8. Given that p = 2, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = n + 8 to b, which gives b = n + 11.\n2. Substitute n = s + 6 to b, which gives b = s + 17.\n3. Substitute s = x + 18 to b, which gives b = x + 35.\n4. Substitute x = u + 2 to b, which gives b = u + 37.\n5. Substitute u = p + 15 to b, which gives b = p + 52.\n6. Substitute p = 2 to b, which gives b = 54.\n\nThus, the final answer is b = \\boxed{54}.",
"index": 11486,
"question": "Suppose a collection of variables is related by the following definitions: z = y + 8; e = l + 16; p = 2; b = h + 3; s = x + 18; l = z + 6; n = s + 6; u = p + 15; w = p + 14; y = f + 3; x = u + 2; f = w + 19; h = n + 8. Given that p = 2, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"b": "t + 3", "a": "b + 8", "n": "a + 8", "y": "n + 1", "e": "y + 9", "v": "e + 7", "j": "t + 1", "x": "j + 12", "f": "x + 11", "z": "f + 1", "o": "z + 13", "k": "o + 17", "t": 11}, "premises": {"t": 11}, "target": "v"}, "answer": {"steps": [["e", "y + 9", "y + 16"], ["y", "n + 1", "n + 17"], ["n", "a + 8", "a + 25"], ["a", "b + 8", "b + 33"], ["b", "t + 3", "t + 36"], ["t", 11, "47"]], "target_var_name": "v", "target_value": 47, "value_dict": {"t": 11}, "is_reverse": true}} | 11,487 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = t + 1; b = t + 3; y = n + 1; t = 11; x = j + 12; v = e + 7; a = b + 8; k = o + 17; z = f + 1; o = z + 13; e = y + 9; f = x + 11; n = a + 8. If t = 11, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = y + 9 to v, which gives v = y + 16.\n2. Substitute y = n + 1 to v, which gives v = n + 17.\n3. Substitute n = a + 8 to v, which gives v = a + 25.\n4. Substitute a = b + 8 to v, which gives v = b + 33.\n5. Substitute b = t + 3 to v, which gives v = t + 36.\n6. Substitute t = 11 to v, which gives v = 47.\n\nThus, the final answer is v = \\boxed{47}.",
"index": 11487,
"question": "Consider a system of variables where each variable is defined as follows: j = t + 1; b = t + 3; y = n + 1; t = 11; x = j + 12; v = e + 7; a = b + 8; k = o + 17; z = f + 1; o = z + 13; e = y + 9; f = x + 11; n = a + 8. If t = 11, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"j": "z + 7", "h": "j + 4", "k": "h + 3", "n": "k + 12", "b": "n + 2", "i": "b + 12", "y": "z + 1", "x": "y + 17", "u": "x + 7", "w": "u + 7", "c": "w + 13", "l": "c + 4", "z": 18}, "premises": {"z": 18}, "target": "i"}, "answer": {"steps": [["b", "n + 2", "n + 14"], ["n", "k + 12", "k + 26"], ["k", "h + 3", "h + 29"], ["h", "j + 4", "j + 33"], ["j", "z + 7", "z + 40"], ["z", 18, "58"]], "target_var_name": "i", "target_value": 58, "value_dict": {"z": 18}, "is_reverse": true}} | 11,488 | 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 = b + 12; j = z + 7; u = x + 7; k = h + 3; y = z + 1; z = 18; x = y + 17; w = u + 7; b = n + 2; l = c + 4; h = j + 4; c = w + 13; n = k + 12. If z = 18, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = n + 2 to i, which gives i = n + 14.\n2. Substitute n = k + 12 to i, which gives i = k + 26.\n3. Substitute k = h + 3 to i, which gives i = h + 29.\n4. Substitute h = j + 4 to i, which gives i = j + 33.\n5. Substitute j = z + 7 to i, which gives i = z + 40.\n6. Substitute z = 18 to i, which gives i = 58.\n\nThus, the final answer is i = \\boxed{58}.",
"index": 11488,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = b + 12; j = z + 7; u = x + 7; k = h + 3; y = z + 1; z = 18; x = y + 17; w = u + 7; b = n + 2; l = c + 4; h = j + 4; c = w + 13; n = k + 12. If z = 18, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"o": "g + 8", "d": "o + 1", "p": "d + 20", "b": "p + 19", "j": "b + 15", "s": "j + 15", "h": "g + 11", "u": "h + 5", "q": "u + 16", "x": "q + 12", "w": "x + 20", "l": "w + 3", "g": 20}, "premises": {"g": 20}, "target": "s"}, "answer": {"steps": [["j", "b + 15", "b + 30"], ["b", "p + 19", "p + 49"], ["p", "d + 20", "d + 69"], ["d", "o + 1", "o + 70"], ["o", "g + 8", "g + 78"], ["g", 20, "98"]], "target_var_name": "s", "target_value": 98, "value_dict": {"g": 20}, "is_reverse": true}} | 11,489 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = 20; h = g + 11; p = d + 20; u = h + 5; d = o + 1; x = q + 12; q = u + 16; b = p + 19; w = x + 20; s = j + 15; l = w + 3; o = g + 8; j = b + 15. Given that g = 20, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = b + 15 to s, which gives s = b + 30.\n2. Substitute b = p + 19 to s, which gives s = p + 49.\n3. Substitute p = d + 20 to s, which gives s = d + 69.\n4. Substitute d = o + 1 to s, which gives s = o + 70.\n5. Substitute o = g + 8 to s, which gives s = g + 78.\n6. Substitute g = 20 to s, which gives s = 98.\n\nThus, the final answer is s = \\boxed{98}.",
"index": 11489,
"question": "Suppose a collection of variables is related by the following definitions: g = 20; h = g + 11; p = d + 20; u = h + 5; d = o + 1; x = q + 12; q = u + 16; b = p + 19; w = x + 20; s = j + 15; l = w + 3; o = g + 8; j = b + 15. Given that g = 20, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"y": "m + 15", "k": "y + 8", "c": "k + 16", "t": "c + 3", "w": "t + 5", "e": "w + 12", "n": "m + 6", "i": "n + 20", "d": "i + 15", "q": "d + 18", "f": "q + 16", "h": "f + 3", "m": 6}, "premises": {"m": 6}, "target": "e"}, "answer": {"steps": [["w", "t + 5", "t + 17"], ["t", "c + 3", "c + 20"], ["c", "k + 16", "k + 36"], ["k", "y + 8", "y + 44"], ["y", "m + 15", "m + 59"], ["m", 6, "65"]], "target_var_name": "e", "target_value": 65, "value_dict": {"m": 6}, "is_reverse": true}} | 11,490 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = d + 18; h = f + 3; y = m + 15; w = t + 5; n = m + 6; i = n + 20; m = 6; c = k + 16; t = c + 3; d = i + 15; e = w + 12; k = y + 8; f = q + 16. If m = 6, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = t + 5 to e, which gives e = t + 17.\n2. Substitute t = c + 3 to e, which gives e = c + 20.\n3. Substitute c = k + 16 to e, which gives e = k + 36.\n4. Substitute k = y + 8 to e, which gives e = y + 44.\n5. Substitute y = m + 15 to e, which gives e = m + 59.\n6. Substitute m = 6 to e, which gives e = 65.\n\nThus, the final answer is e = \\boxed{65}.",
"index": 11490,
"question": "Consider a system of variables where each variable is defined as follows: q = d + 18; h = f + 3; y = m + 15; w = t + 5; n = m + 6; i = n + 20; m = 6; c = k + 16; t = c + 3; d = i + 15; e = w + 12; k = y + 8; f = q + 16. If m = 6, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"o": "j + 13", "e": "o + 5", "i": "e + 16", "z": "i + 16", "w": "z + 4", "l": "w + 15", "q": "j + 19", "y": "q + 3", "d": "y + 19", "u": "d + 6", "x": "u + 16", "h": "x + 15", "j": 13}, "premises": {"j": 13}, "target": "l"}, "answer": {"steps": [["w", "z + 4", "z + 19"], ["z", "i + 16", "i + 35"], ["i", "e + 16", "e + 51"], ["e", "o + 5", "o + 56"], ["o", "j + 13", "j + 69"], ["j", 13, "82"]], "target_var_name": "l", "target_value": 82, "value_dict": {"j": 13}, "is_reverse": true}} | 11,491 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = j + 19; o = j + 13; l = w + 15; z = i + 16; h = x + 15; e = o + 5; i = e + 16; w = z + 4; x = u + 16; u = d + 6; y = q + 3; j = 13; d = y + 19. If j = 13, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = z + 4 to l, which gives l = z + 19.\n2. Substitute z = i + 16 to l, which gives l = i + 35.\n3. Substitute i = e + 16 to l, which gives l = e + 51.\n4. Substitute e = o + 5 to l, which gives l = o + 56.\n5. Substitute o = j + 13 to l, which gives l = j + 69.\n6. Substitute j = 13 to l, which gives l = 82.\n\nThus, the final answer is l = \\boxed{82}.",
"index": 11491,
"question": "Consider a system of variables where each variable is defined as follows: q = j + 19; o = j + 13; l = w + 15; z = i + 16; h = x + 15; e = o + 5; i = e + 16; w = z + 4; x = u + 16; u = d + 6; y = q + 3; j = 13; d = y + 19. If j = 13, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"w": "b + 2", "f": "w + 1", "c": "f + 9", "z": "c + 6", "r": "z + 1", "t": "r + 8", "h": "b + 9", "d": "h + 6", "j": "d + 13", "l": "j + 13", "y": "l + 6", "i": "y + 10", "b": 4}, "premises": {"b": 4}, "target": "t"}, "answer": {"steps": [["r", "z + 1", "z + 9"], ["z", "c + 6", "c + 15"], ["c", "f + 9", "f + 24"], ["f", "w + 1", "w + 25"], ["w", "b + 2", "b + 27"], ["b", 4, "31"]], "target_var_name": "t", "target_value": 31, "value_dict": {"b": 4}, "is_reverse": true}} | 11,492 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = w + 1; j = d + 13; y = l + 6; h = b + 9; l = j + 13; b = 4; w = b + 2; d = h + 6; r = z + 1; i = y + 10; z = c + 6; t = r + 8; c = f + 9. If b = 4, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 31,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = z + 1 to t, which gives t = z + 9.\n2. Substitute z = c + 6 to t, which gives t = c + 15.\n3. Substitute c = f + 9 to t, which gives t = f + 24.\n4. Substitute f = w + 1 to t, which gives t = w + 25.\n5. Substitute w = b + 2 to t, which gives t = b + 27.\n6. Substitute b = 4 to t, which gives t = 31.\n\nThus, the final answer is t = \\boxed{31}.",
"index": 11492,
"question": "Consider a system of variables where each variable is defined as follows: f = w + 1; j = d + 13; y = l + 6; h = b + 9; l = j + 13; b = 4; w = b + 2; d = h + 6; r = z + 1; i = y + 10; z = c + 6; t = r + 8; c = f + 9. If b = 4, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"v": "w + 14", "j": "v + 8", "d": "j + 7", "k": "d + 2", "f": "k + 18", "l": "f + 7", "b": "w + 4", "r": "b + 5", "c": "r + 1", "y": "c + 13", "x": "y + 10", "u": "x + 6", "w": 1}, "premises": {"w": 1}, "target": "l"}, "answer": {"steps": [["f", "k + 18", "k + 25"], ["k", "d + 2", "d + 27"], ["d", "j + 7", "j + 34"], ["j", "v + 8", "v + 42"], ["v", "w + 14", "w + 56"], ["w", 1, "57"]], "target_var_name": "l", "target_value": 57, "value_dict": {"w": 1}, "is_reverse": true}} | 11,493 | 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 = 1; v = w + 14; c = r + 1; b = w + 4; l = f + 7; f = k + 18; j = v + 8; u = x + 6; d = j + 7; r = b + 5; y = c + 13; k = d + 2; x = y + 10. If w = 1, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = k + 18 to l, which gives l = k + 25.\n2. Substitute k = d + 2 to l, which gives l = d + 27.\n3. Substitute d = j + 7 to l, which gives l = j + 34.\n4. Substitute j = v + 8 to l, which gives l = v + 42.\n5. Substitute v = w + 14 to l, which gives l = w + 56.\n6. Substitute w = 1 to l, which gives l = 57.\n\nThus, the final answer is l = \\boxed{57}.",
"index": 11493,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = 1; v = w + 14; c = r + 1; b = w + 4; l = f + 7; f = k + 18; j = v + 8; u = x + 6; d = j + 7; r = b + 5; y = c + 13; k = d + 2; x = y + 10. If w = 1, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"r": "v + 6", "c": "r + 3", "t": "c + 8", "d": "t + 1", "m": "d + 20", "e": "m + 1", "z": "v + 11", "y": "z + 10", "w": "y + 12", "s": "w + 9", "i": "s + 18", "x": "i + 13", "v": 12}, "premises": {"v": 12}, "target": "e"}, "answer": {"steps": [["m", "d + 20", "d + 21"], ["d", "t + 1", "t + 22"], ["t", "c + 8", "c + 30"], ["c", "r + 3", "r + 33"], ["r", "v + 6", "v + 39"], ["v", 12, "51"]], "target_var_name": "e", "target_value": 51, "value_dict": {"v": 12}, "is_reverse": true}} | 11,494 | 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 = i + 13; w = y + 12; v = 12; m = d + 20; t = c + 8; s = w + 9; e = m + 1; c = r + 3; i = s + 18; y = z + 10; r = v + 6; d = t + 1; z = v + 11. If v = 12, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = d + 20 to e, which gives e = d + 21.\n2. Substitute d = t + 1 to e, which gives e = t + 22.\n3. Substitute t = c + 8 to e, which gives e = c + 30.\n4. Substitute c = r + 3 to e, which gives e = r + 33.\n5. Substitute r = v + 6 to e, which gives e = v + 39.\n6. Substitute v = 12 to e, which gives e = 51.\n\nThus, the final answer is e = \\boxed{51}.",
"index": 11494,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = i + 13; w = y + 12; v = 12; m = d + 20; t = c + 8; s = w + 9; e = m + 1; c = r + 3; i = s + 18; y = z + 10; r = v + 6; d = t + 1; z = v + 11. If v = 12, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"u": "x + 4", "i": "u + 18", "d": "i + 5", "s": "d + 2", "w": "s + 3", "o": "w + 16", "r": "x + 7", "a": "r + 11", "v": "a + 3", "q": "v + 7", "e": "q + 3", "f": "e + 11", "x": 9}, "premises": {"x": 9}, "target": "o"}, "answer": {"steps": [["w", "s + 3", "s + 19"], ["s", "d + 2", "d + 21"], ["d", "i + 5", "i + 26"], ["i", "u + 18", "u + 44"], ["u", "x + 4", "x + 48"], ["x", 9, "57"]], "target_var_name": "o", "target_value": 57, "value_dict": {"x": 9}, "is_reverse": true}} | 11,495 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = i + 5; i = u + 18; r = x + 7; q = v + 7; s = d + 2; x = 9; v = a + 3; f = e + 11; o = w + 16; a = r + 11; e = q + 3; w = s + 3; u = x + 4. If x = 9, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = s + 3 to o, which gives o = s + 19.\n2. Substitute s = d + 2 to o, which gives o = d + 21.\n3. Substitute d = i + 5 to o, which gives o = i + 26.\n4. Substitute i = u + 18 to o, which gives o = u + 44.\n5. Substitute u = x + 4 to o, which gives o = x + 48.\n6. Substitute x = 9 to o, which gives o = 57.\n\nThus, the final answer is o = \\boxed{57}.",
"index": 11495,
"question": "Consider a system of variables where each variable is defined as follows: d = i + 5; i = u + 18; r = x + 7; q = v + 7; s = d + 2; x = 9; v = a + 3; f = e + 11; o = w + 16; a = r + 11; e = q + 3; w = s + 3; u = x + 4. If x = 9, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"g": "c + 13", "h": "g + 2", "z": "h + 4", "l": "z + 15", "o": "l + 5", "a": "o + 20", "v": "c + 2", "q": "v + 2", "x": "q + 4", "i": "x + 12", "p": "i + 1", "f": "p + 19", "c": 2}, "premises": {"c": 2}, "target": "a"}, "answer": {"steps": [["o", "l + 5", "l + 25"], ["l", "z + 15", "z + 40"], ["z", "h + 4", "h + 44"], ["h", "g + 2", "g + 46"], ["g", "c + 13", "c + 59"], ["c", 2, "61"]], "target_var_name": "a", "target_value": 61, "value_dict": {"c": 2}, "is_reverse": true}} | 11,496 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = z + 15; i = x + 12; o = l + 5; h = g + 2; g = c + 13; c = 2; x = q + 4; f = p + 19; a = o + 20; p = i + 1; v = c + 2; z = h + 4; q = v + 2. If c = 2, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = l + 5 to a, which gives a = l + 25.\n2. Substitute l = z + 15 to a, which gives a = z + 40.\n3. Substitute z = h + 4 to a, which gives a = h + 44.\n4. Substitute h = g + 2 to a, which gives a = g + 46.\n5. Substitute g = c + 13 to a, which gives a = c + 59.\n6. Substitute c = 2 to a, which gives a = 61.\n\nThus, the final answer is a = \\boxed{61}.",
"index": 11496,
"question": "Consider a system of variables where each variable is defined as follows: l = z + 15; i = x + 12; o = l + 5; h = g + 2; g = c + 13; c = 2; x = q + 4; f = p + 19; a = o + 20; p = i + 1; v = c + 2; z = h + 4; q = v + 2. If c = 2, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"w": "c + 13", "d": "w + 3", "l": "d + 19", "p": "l + 14", "b": "p + 13", "h": "b + 6", "q": "c + 8", "r": "q + 13", "i": "r + 13", "t": "i + 6", "j": "t + 16", "n": "j + 13", "c": 15}, "premises": {"c": 15}, "target": "h"}, "answer": {"steps": [["b", "p + 13", "p + 19"], ["p", "l + 14", "l + 33"], ["l", "d + 19", "d + 52"], ["d", "w + 3", "w + 55"], ["w", "c + 13", "c + 68"], ["c", 15, "83"]], "target_var_name": "h", "target_value": 83, "value_dict": {"c": 15}, "is_reverse": true}} | 11,497 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = r + 13; n = j + 13; p = l + 14; j = t + 16; c = 15; r = q + 13; w = c + 13; d = w + 3; q = c + 8; t = i + 6; h = b + 6; b = p + 13; l = d + 19. If c = 15, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = p + 13 to h, which gives h = p + 19.\n2. Substitute p = l + 14 to h, which gives h = l + 33.\n3. Substitute l = d + 19 to h, which gives h = d + 52.\n4. Substitute d = w + 3 to h, which gives h = w + 55.\n5. Substitute w = c + 13 to h, which gives h = c + 68.\n6. Substitute c = 15 to h, which gives h = 83.\n\nThus, the final answer is h = \\boxed{83}.",
"index": 11497,
"question": "Consider a system of variables where each variable is defined as follows: i = r + 13; n = j + 13; p = l + 14; j = t + 16; c = 15; r = q + 13; w = c + 13; d = w + 3; q = c + 8; t = i + 6; h = b + 6; b = p + 13; l = d + 19. If c = 15, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"u": "x + 12", "c": "u + 2", "z": "c + 5", "s": "z + 20", "p": "s + 19", "t": "p + 8", "n": "x + 4", "o": "n + 20", "e": "o + 11", "i": "e + 20", "g": "i + 19", "q": "g + 5", "x": 6}, "premises": {"x": 6}, "target": "t"}, "answer": {"steps": [["p", "s + 19", "s + 27"], ["s", "z + 20", "z + 47"], ["z", "c + 5", "c + 52"], ["c", "u + 2", "u + 54"], ["u", "x + 12", "x + 66"], ["x", 6, "72"]], "target_var_name": "t", "target_value": 72, "value_dict": {"x": 6}, "is_reverse": true}} | 11,498 | 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 = 6; e = o + 11; c = u + 2; s = z + 20; q = g + 5; g = i + 19; z = c + 5; u = x + 12; i = e + 20; n = x + 4; o = n + 20; p = s + 19; t = p + 8. If x = 6, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = s + 19 to t, which gives t = s + 27.\n2. Substitute s = z + 20 to t, which gives t = z + 47.\n3. Substitute z = c + 5 to t, which gives t = c + 52.\n4. Substitute c = u + 2 to t, which gives t = u + 54.\n5. Substitute u = x + 12 to t, which gives t = x + 66.\n6. Substitute x = 6 to t, which gives t = 72.\n\nThus, the final answer is t = \\boxed{72}.",
"index": 11498,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = 6; e = o + 11; c = u + 2; s = z + 20; q = g + 5; g = i + 19; z = c + 5; u = x + 12; i = e + 20; n = x + 4; o = n + 20; p = s + 19; t = p + 8. If x = 6, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"d": "i + 3", "q": "d + 10", "w": "q + 11", "s": "w + 13", "m": "s + 2", "a": "m + 10", "o": "i + 18", "r": "o + 5", "z": "r + 3", "f": "z + 15", "b": "f + 18", "t": "b + 12", "i": 2}, "premises": {"i": 2}, "target": "a"}, "answer": {"steps": [["m", "s + 2", "s + 12"], ["s", "w + 13", "w + 25"], ["w", "q + 11", "q + 36"], ["q", "d + 10", "d + 46"], ["d", "i + 3", "i + 49"], ["i", 2, "51"]], "target_var_name": "a", "target_value": 51, "value_dict": {"i": 2}, "is_reverse": true}} | 11,499 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = w + 13; d = i + 3; z = r + 3; q = d + 10; t = b + 12; i = 2; f = z + 15; a = m + 10; r = o + 5; w = q + 11; m = s + 2; o = i + 18; b = f + 18. If i = 2, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = s + 2 to a, which gives a = s + 12.\n2. Substitute s = w + 13 to a, which gives a = w + 25.\n3. Substitute w = q + 11 to a, which gives a = q + 36.\n4. Substitute q = d + 10 to a, which gives a = d + 46.\n5. Substitute d = i + 3 to a, which gives a = i + 49.\n6. Substitute i = 2 to a, which gives a = 51.\n\nThus, the final answer is a = \\boxed{51}.",
"index": 11499,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = w + 13; d = i + 3; z = r + 3; q = d + 10; t = b + 12; i = 2; f = z + 15; a = m + 10; r = o + 5; w = q + 11; m = s + 2; o = i + 18; b = f + 18. If i = 2, what is the resulting value of a?",
"split": "train"
} |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.