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": {"w": "g + 3", "y": "w + 3", "n": "y + 9", "a": "n + 1", "v": "a + 12", "z": "v + 17", "i": "g + 13", "d": "i + 10", "f": "d + 6", "r": "f + 19", "e": "r + 1", "p": "e + 10", "g": 7}, "premises": {"g": 7}, "target": "z"}, "answer": {"steps": [["v", "a + 12", "a + 29"], ["a", "n + 1", "n + 30"], ["n", "y + 9", "y + 39"], ["y", "w + 3", "w + 42"], ["w", "g + 3", "g + 45"], ["g", 7, "52"]], "target_var_name": "z", "target_value": 52, "value_dict": {"g": 7}, "is_reverse": true}} | 15,400 | 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 + 6; w = g + 3; y = w + 3; a = n + 1; r = f + 19; v = a + 12; p = e + 10; e = r + 1; z = v + 17; n = y + 9; d = i + 10; g = 7; i = g + 13. If g = 7, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = a + 12 to z, which gives z = a + 29.\n2. Substitute a = n + 1 to z, which gives z = n + 30.\n3. Substitute n = y + 9 to z, which gives z = y + 39.\n4. Substitute y = w + 3 to z, which gives z = w + 42.\n5. Substitute w = g + 3 to z, which gives z = g + 45.\n6. Substitute g = 7 to z, which gives z = 52.\n\nThus, the final answer is z = \\boxed{52}.",
"index": 15400,
"question": "Consider a system of variables where each variable is defined as follows: f = d + 6; w = g + 3; y = w + 3; a = n + 1; r = f + 19; v = a + 12; p = e + 10; e = r + 1; z = v + 17; n = y + 9; d = i + 10; g = 7; i = g + 13. If g = 7, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"x": "n + 10", "t": "x + 6", "r": "t + 1", "g": "r + 7", "b": "g + 2", "o": "b + 3", "f": "n + 5", "j": "f + 20", "c": "j + 14", "a": "c + 11", "h": "a + 17", "w": "h + 1", "n": 12}, "premises": {"n": 12}, "target": "o"}, "answer": {"steps": [["b", "g + 2", "g + 5"], ["g", "r + 7", "r + 12"], ["r", "t + 1", "t + 13"], ["t", "x + 6", "x + 19"], ["x", "n + 10", "n + 29"], ["n", 12, "41"]], "target_var_name": "o", "target_value": 41, "value_dict": {"n": 12}, "is_reverse": true}} | 15,401 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = r + 7; w = h + 1; n = 12; c = j + 14; j = f + 20; x = n + 10; b = g + 2; a = c + 11; f = n + 5; h = a + 17; o = b + 3; r = t + 1; t = x + 6. Given that n = 12, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 41,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = g + 2 to o, which gives o = g + 5.\n2. Substitute g = r + 7 to o, which gives o = r + 12.\n3. Substitute r = t + 1 to o, which gives o = t + 13.\n4. Substitute t = x + 6 to o, which gives o = x + 19.\n5. Substitute x = n + 10 to o, which gives o = n + 29.\n6. Substitute n = 12 to o, which gives o = 41.\n\nThus, the final answer is o = \\boxed{41}.",
"index": 15401,
"question": "Suppose a collection of variables is related by the following definitions: g = r + 7; w = h + 1; n = 12; c = j + 14; j = f + 20; x = n + 10; b = g + 2; a = c + 11; f = n + 5; h = a + 17; o = b + 3; r = t + 1; t = x + 6. Given that n = 12, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"o": "f + 9", "p": "o + 17", "n": "p + 11", "z": "n + 16", "c": "z + 6", "k": "c + 9", "h": "f + 1", "r": "h + 2", "a": "r + 8", "g": "a + 11", "s": "g + 8", "w": "s + 16", "f": 11}, "premises": {"f": 11}, "target": "k"}, "answer": {"steps": [["c", "z + 6", "z + 15"], ["z", "n + 16", "n + 31"], ["n", "p + 11", "p + 42"], ["p", "o + 17", "o + 59"], ["o", "f + 9", "f + 68"], ["f", 11, "79"]], "target_var_name": "k", "target_value": 79, "value_dict": {"f": 11}, "is_reverse": true}} | 15,402 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = a + 11; k = c + 9; s = g + 8; p = o + 17; f = 11; w = s + 16; n = p + 11; z = n + 16; c = z + 6; h = f + 1; a = r + 8; r = h + 2; o = f + 9. Given that f = 11, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = z + 6 to k, which gives k = z + 15.\n2. Substitute z = n + 16 to k, which gives k = n + 31.\n3. Substitute n = p + 11 to k, which gives k = p + 42.\n4. Substitute p = o + 17 to k, which gives k = o + 59.\n5. Substitute o = f + 9 to k, which gives k = f + 68.\n6. Substitute f = 11 to k, which gives k = 79.\n\nThus, the final answer is k = \\boxed{79}.",
"index": 15402,
"question": "Suppose a collection of variables is related by the following definitions: g = a + 11; k = c + 9; s = g + 8; p = o + 17; f = 11; w = s + 16; n = p + 11; z = n + 16; c = z + 6; h = f + 1; a = r + 8; r = h + 2; o = f + 9. Given that f = 11, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"b": "s + 11", "i": "b + 6", "q": "i + 12", "h": "q + 3", "x": "h + 5", "a": "x + 1", "d": "s + 14", "g": "d + 8", "j": "g + 5", "n": "j + 6", "y": "n + 18", "r": "y + 5", "s": 10}, "premises": {"s": 10}, "target": "a"}, "answer": {"steps": [["x", "h + 5", "h + 6"], ["h", "q + 3", "q + 9"], ["q", "i + 12", "i + 21"], ["i", "b + 6", "b + 27"], ["b", "s + 11", "s + 38"], ["s", 10, "48"]], "target_var_name": "a", "target_value": 48, "value_dict": {"s": 10}, "is_reverse": true}} | 15,403 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = q + 3; n = j + 6; i = b + 6; b = s + 11; j = g + 5; y = n + 18; d = s + 14; q = i + 12; r = y + 5; s = 10; g = d + 8; x = h + 5; a = x + 1. If s = 10, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = h + 5 to a, which gives a = h + 6.\n2. Substitute h = q + 3 to a, which gives a = q + 9.\n3. Substitute q = i + 12 to a, which gives a = i + 21.\n4. Substitute i = b + 6 to a, which gives a = b + 27.\n5. Substitute b = s + 11 to a, which gives a = s + 38.\n6. Substitute s = 10 to a, which gives a = 48.\n\nThus, the final answer is a = \\boxed{48}.",
"index": 15403,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = q + 3; n = j + 6; i = b + 6; b = s + 11; j = g + 5; y = n + 18; d = s + 14; q = i + 12; r = y + 5; s = 10; g = d + 8; x = h + 5; a = x + 1. If s = 10, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"z": "p + 17", "u": "z + 5", "m": "u + 4", "d": "m + 5", "e": "d + 19", "f": "e + 12", "b": "p + 16", "l": "b + 9", "j": "l + 7", "k": "j + 12", "o": "k + 9", "a": "o + 11", "p": 12}, "premises": {"p": 12}, "target": "f"}, "answer": {"steps": [["e", "d + 19", "d + 31"], ["d", "m + 5", "m + 36"], ["m", "u + 4", "u + 40"], ["u", "z + 5", "z + 45"], ["z", "p + 17", "p + 62"], ["p", 12, "74"]], "target_var_name": "f", "target_value": 74, "value_dict": {"p": 12}, "is_reverse": true}} | 15,404 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = e + 12; o = k + 9; e = d + 19; a = o + 11; p = 12; j = l + 7; l = b + 9; m = u + 4; k = j + 12; u = z + 5; d = m + 5; z = p + 17; b = p + 16. If p = 12, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = d + 19 to f, which gives f = d + 31.\n2. Substitute d = m + 5 to f, which gives f = m + 36.\n3. Substitute m = u + 4 to f, which gives f = u + 40.\n4. Substitute u = z + 5 to f, which gives f = z + 45.\n5. Substitute z = p + 17 to f, which gives f = p + 62.\n6. Substitute p = 12 to f, which gives f = 74.\n\nThus, the final answer is f = \\boxed{74}.",
"index": 15404,
"question": "Consider a system of variables where each variable is defined as follows: f = e + 12; o = k + 9; e = d + 19; a = o + 11; p = 12; j = l + 7; l = b + 9; m = u + 4; k = j + 12; u = z + 5; d = m + 5; z = p + 17; b = p + 16. If p = 12, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"r": "m + 6", "o": "r + 11", "l": "o + 3", "b": "l + 3", "x": "b + 10", "p": "x + 3", "e": "m + 15", "w": "e + 3", "d": "w + 13", "y": "d + 1", "v": "y + 14", "c": "v + 3", "m": 19}, "premises": {"m": 19}, "target": "p"}, "answer": {"steps": [["x", "b + 10", "b + 13"], ["b", "l + 3", "l + 16"], ["l", "o + 3", "o + 19"], ["o", "r + 11", "r + 30"], ["r", "m + 6", "m + 36"], ["m", 19, "55"]], "target_var_name": "p", "target_value": 55, "value_dict": {"m": 19}, "is_reverse": true}} | 15,405 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = e + 3; d = w + 13; b = l + 3; c = v + 3; o = r + 11; l = o + 3; e = m + 15; v = y + 14; x = b + 10; r = m + 6; m = 19; p = x + 3; y = d + 1. Given that m = 19, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = b + 10 to p, which gives p = b + 13.\n2. Substitute b = l + 3 to p, which gives p = l + 16.\n3. Substitute l = o + 3 to p, which gives p = o + 19.\n4. Substitute o = r + 11 to p, which gives p = r + 30.\n5. Substitute r = m + 6 to p, which gives p = m + 36.\n6. Substitute m = 19 to p, which gives p = 55.\n\nThus, the final answer is p = \\boxed{55}.",
"index": 15405,
"question": "Suppose a collection of variables is related by the following definitions: w = e + 3; d = w + 13; b = l + 3; c = v + 3; o = r + 11; l = o + 3; e = m + 15; v = y + 14; x = b + 10; r = m + 6; m = 19; p = x + 3; y = d + 1. Given that m = 19, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"o": "t + 20", "y": "o + 2", "f": "y + 5", "r": "f + 10", "h": "r + 13", "z": "h + 4", "b": "t + 17", "w": "b + 2", "q": "w + 14", "e": "q + 20", "n": "e + 4", "l": "n + 6", "t": 5}, "premises": {"t": 5}, "target": "z"}, "answer": {"steps": [["h", "r + 13", "r + 17"], ["r", "f + 10", "f + 27"], ["f", "y + 5", "y + 32"], ["y", "o + 2", "o + 34"], ["o", "t + 20", "t + 54"], ["t", 5, "59"]], "target_var_name": "z", "target_value": 59, "value_dict": {"t": 5}, "is_reverse": true}} | 15,406 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = f + 10; h = r + 13; b = t + 17; o = t + 20; q = w + 14; w = b + 2; z = h + 4; t = 5; e = q + 20; l = n + 6; n = e + 4; y = o + 2; f = y + 5. If t = 5, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = r + 13 to z, which gives z = r + 17.\n2. Substitute r = f + 10 to z, which gives z = f + 27.\n3. Substitute f = y + 5 to z, which gives z = y + 32.\n4. Substitute y = o + 2 to z, which gives z = o + 34.\n5. Substitute o = t + 20 to z, which gives z = t + 54.\n6. Substitute t = 5 to z, which gives z = 59.\n\nThus, the final answer is z = \\boxed{59}.",
"index": 15406,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = f + 10; h = r + 13; b = t + 17; o = t + 20; q = w + 14; w = b + 2; z = h + 4; t = 5; e = q + 20; l = n + 6; n = e + 4; y = o + 2; f = y + 5. If t = 5, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"k": "u + 20", "e": "k + 7", "s": "e + 6", "b": "s + 12", "q": "b + 10", "d": "q + 6", "j": "u + 8", "c": "j + 13", "f": "c + 16", "g": "f + 8", "x": "g + 18", "y": "x + 11", "u": 2}, "premises": {"u": 2}, "target": "d"}, "answer": {"steps": [["q", "b + 10", "b + 16"], ["b", "s + 12", "s + 28"], ["s", "e + 6", "e + 34"], ["e", "k + 7", "k + 41"], ["k", "u + 20", "u + 61"], ["u", 2, "63"]], "target_var_name": "d", "target_value": 63, "value_dict": {"u": 2}, "is_reverse": true}} | 15,407 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = k + 7; y = x + 11; j = u + 8; g = f + 8; u = 2; d = q + 6; f = c + 16; c = j + 13; x = g + 18; k = u + 20; b = s + 12; q = b + 10; s = e + 6. Given that u = 2, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = b + 10 to d, which gives d = b + 16.\n2. Substitute b = s + 12 to d, which gives d = s + 28.\n3. Substitute s = e + 6 to d, which gives d = e + 34.\n4. Substitute e = k + 7 to d, which gives d = k + 41.\n5. Substitute k = u + 20 to d, which gives d = u + 61.\n6. Substitute u = 2 to d, which gives d = 63.\n\nThus, the final answer is d = \\boxed{63}.",
"index": 15407,
"question": "Suppose a collection of variables is related by the following definitions: e = k + 7; y = x + 11; j = u + 8; g = f + 8; u = 2; d = q + 6; f = c + 16; c = j + 13; x = g + 18; k = u + 20; b = s + 12; q = b + 10; s = e + 6. Given that u = 2, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"v": "u + 4", "l": "v + 12", "d": "l + 10", "e": "d + 12", "g": "e + 10", "y": "g + 10", "c": "u + 8", "s": "c + 7", "f": "s + 16", "z": "f + 14", "o": "z + 13", "i": "o + 3", "u": 13}, "premises": {"u": 13}, "target": "y"}, "answer": {"steps": [["g", "e + 10", "e + 20"], ["e", "d + 12", "d + 32"], ["d", "l + 10", "l + 42"], ["l", "v + 12", "v + 54"], ["v", "u + 4", "u + 58"], ["u", 13, "71"]], "target_var_name": "y", "target_value": 71, "value_dict": {"u": 13}, "is_reverse": true}} | 15,408 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = v + 12; z = f + 14; c = u + 8; v = u + 4; s = c + 7; e = d + 12; g = e + 10; d = l + 10; o = z + 13; i = o + 3; y = g + 10; u = 13; f = s + 16. Given that u = 13, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = e + 10 to y, which gives y = e + 20.\n2. Substitute e = d + 12 to y, which gives y = d + 32.\n3. Substitute d = l + 10 to y, which gives y = l + 42.\n4. Substitute l = v + 12 to y, which gives y = v + 54.\n5. Substitute v = u + 4 to y, which gives y = u + 58.\n6. Substitute u = 13 to y, which gives y = 71.\n\nThus, the final answer is y = \\boxed{71}.",
"index": 15408,
"question": "Suppose a collection of variables is related by the following definitions: l = v + 12; z = f + 14; c = u + 8; v = u + 4; s = c + 7; e = d + 12; g = e + 10; d = l + 10; o = z + 13; i = o + 3; y = g + 10; u = 13; f = s + 16. Given that u = 13, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"i": "c + 14", "f": "i + 19", "h": "f + 13", "n": "h + 6", "r": "n + 20", "o": "r + 19", "z": "c + 3", "e": "z + 8", "u": "e + 6", "k": "u + 4", "m": "k + 11", "a": "m + 14", "c": 13}, "premises": {"c": 13}, "target": "o"}, "answer": {"steps": [["r", "n + 20", "n + 39"], ["n", "h + 6", "h + 45"], ["h", "f + 13", "f + 58"], ["f", "i + 19", "i + 77"], ["i", "c + 14", "c + 91"], ["c", 13, "104"]], "target_var_name": "o", "target_value": 104, "value_dict": {"c": 13}, "is_reverse": true}} | 15,409 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = 13; k = u + 4; e = z + 8; f = i + 19; n = h + 6; m = k + 11; i = c + 14; r = n + 20; u = e + 6; h = f + 13; z = c + 3; o = r + 19; a = m + 14. If c = 13, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 104,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = n + 20 to o, which gives o = n + 39.\n2. Substitute n = h + 6 to o, which gives o = h + 45.\n3. Substitute h = f + 13 to o, which gives o = f + 58.\n4. Substitute f = i + 19 to o, which gives o = i + 77.\n5. Substitute i = c + 14 to o, which gives o = c + 91.\n6. Substitute c = 13 to o, which gives o = 104.\n\nThus, the final answer is o = \\boxed{104}.",
"index": 15409,
"question": "Consider a system of variables where each variable is defined as follows: c = 13; k = u + 4; e = z + 8; f = i + 19; n = h + 6; m = k + 11; i = c + 14; r = n + 20; u = e + 6; h = f + 13; z = c + 3; o = r + 19; a = m + 14. If c = 13, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"n": "x + 6", "v": "n + 12", "p": "v + 6", "s": "p + 17", "m": "s + 5", "t": "m + 3", "g": "x + 8", "c": "g + 17", "u": "c + 4", "q": "u + 13", "y": "q + 15", "b": "y + 6", "x": 9}, "premises": {"x": 9}, "target": "t"}, "answer": {"steps": [["m", "s + 5", "s + 8"], ["s", "p + 17", "p + 25"], ["p", "v + 6", "v + 31"], ["v", "n + 12", "n + 43"], ["n", "x + 6", "x + 49"], ["x", 9, "58"]], "target_var_name": "t", "target_value": 58, "value_dict": {"x": 9}, "is_reverse": true}} | 15,410 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = u + 13; b = y + 6; y = q + 15; x = 9; g = x + 8; c = g + 17; v = n + 12; u = c + 4; t = m + 3; p = v + 6; m = s + 5; s = p + 17; n = x + 6. Given that x = 9, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = s + 5 to t, which gives t = s + 8.\n2. Substitute s = p + 17 to t, which gives t = p + 25.\n3. Substitute p = v + 6 to t, which gives t = v + 31.\n4. Substitute v = n + 12 to t, which gives t = n + 43.\n5. Substitute n = x + 6 to t, which gives t = x + 49.\n6. Substitute x = 9 to t, which gives t = 58.\n\nThus, the final answer is t = \\boxed{58}.",
"index": 15410,
"question": "Suppose a collection of variables is related by the following definitions: q = u + 13; b = y + 6; y = q + 15; x = 9; g = x + 8; c = g + 17; v = n + 12; u = c + 4; t = m + 3; p = v + 6; m = s + 5; s = p + 17; n = x + 6. Given that x = 9, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"a": "s + 1", "j": "a + 10", "p": "j + 6", "f": "p + 20", "w": "f + 17", "d": "w + 13", "k": "s + 9", "y": "k + 10", "z": "y + 18", "v": "z + 17", "u": "v + 1", "o": "u + 12", "s": 19}, "premises": {"s": 19}, "target": "d"}, "answer": {"steps": [["w", "f + 17", "f + 30"], ["f", "p + 20", "p + 50"], ["p", "j + 6", "j + 56"], ["j", "a + 10", "a + 66"], ["a", "s + 1", "s + 67"], ["s", 19, "86"]], "target_var_name": "d", "target_value": 86, "value_dict": {"s": 19}, "is_reverse": true}} | 15,411 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = p + 20; z = y + 18; y = k + 10; s = 19; u = v + 1; k = s + 9; j = a + 10; p = j + 6; w = f + 17; o = u + 12; a = s + 1; v = z + 17; d = w + 13. Given that s = 19, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = f + 17 to d, which gives d = f + 30.\n2. Substitute f = p + 20 to d, which gives d = p + 50.\n3. Substitute p = j + 6 to d, which gives d = j + 56.\n4. Substitute j = a + 10 to d, which gives d = a + 66.\n5. Substitute a = s + 1 to d, which gives d = s + 67.\n6. Substitute s = 19 to d, which gives d = 86.\n\nThus, the final answer is d = \\boxed{86}.",
"index": 15411,
"question": "Suppose a collection of variables is related by the following definitions: f = p + 20; z = y + 18; y = k + 10; s = 19; u = v + 1; k = s + 9; j = a + 10; p = j + 6; w = f + 17; o = u + 12; a = s + 1; v = z + 17; d = w + 13. Given that s = 19, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"e": "w + 13", "h": "e + 2", "z": "h + 6", "t": "z + 5", "x": "t + 16", "u": "x + 18", "i": "w + 7", "f": "i + 19", "q": "f + 4", "y": "q + 4", "o": "y + 11", "s": "o + 15", "w": 3}, "premises": {"w": 3}, "target": "u"}, "answer": {"steps": [["x", "t + 16", "t + 34"], ["t", "z + 5", "z + 39"], ["z", "h + 6", "h + 45"], ["h", "e + 2", "e + 47"], ["e", "w + 13", "w + 60"], ["w", 3, "63"]], "target_var_name": "u", "target_value": 63, "value_dict": {"w": 3}, "is_reverse": true}} | 15,412 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = o + 15; u = x + 18; h = e + 2; f = i + 19; x = t + 16; i = w + 7; z = h + 6; w = 3; y = q + 4; t = z + 5; q = f + 4; e = w + 13; o = y + 11. Given that w = 3, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = t + 16 to u, which gives u = t + 34.\n2. Substitute t = z + 5 to u, which gives u = z + 39.\n3. Substitute z = h + 6 to u, which gives u = h + 45.\n4. Substitute h = e + 2 to u, which gives u = e + 47.\n5. Substitute e = w + 13 to u, which gives u = w + 60.\n6. Substitute w = 3 to u, which gives u = 63.\n\nThus, the final answer is u = \\boxed{63}.",
"index": 15412,
"question": "Suppose a collection of variables is related by the following definitions: s = o + 15; u = x + 18; h = e + 2; f = i + 19; x = t + 16; i = w + 7; z = h + 6; w = 3; y = q + 4; t = z + 5; q = f + 4; e = w + 13; o = y + 11. Given that w = 3, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"q": "u + 20", "e": "q + 9", "a": "e + 20", "s": "a + 6", "z": "s + 2", "c": "z + 7", "h": "u + 4", "i": "h + 17", "o": "i + 20", "f": "o + 2", "g": "f + 17", "k": "g + 3", "u": 10}, "premises": {"u": 10}, "target": "c"}, "answer": {"steps": [["z", "s + 2", "s + 9"], ["s", "a + 6", "a + 15"], ["a", "e + 20", "e + 35"], ["e", "q + 9", "q + 44"], ["q", "u + 20", "u + 64"], ["u", 10, "74"]], "target_var_name": "c", "target_value": 74, "value_dict": {"u": 10}, "is_reverse": true}} | 15,413 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = u + 20; z = s + 2; g = f + 17; k = g + 3; e = q + 9; o = i + 20; a = e + 20; s = a + 6; i = h + 17; c = z + 7; h = u + 4; f = o + 2; u = 10. If u = 10, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = s + 2 to c, which gives c = s + 9.\n2. Substitute s = a + 6 to c, which gives c = a + 15.\n3. Substitute a = e + 20 to c, which gives c = e + 35.\n4. Substitute e = q + 9 to c, which gives c = q + 44.\n5. Substitute q = u + 20 to c, which gives c = u + 64.\n6. Substitute u = 10 to c, which gives c = 74.\n\nThus, the final answer is c = \\boxed{74}.",
"index": 15413,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = u + 20; z = s + 2; g = f + 17; k = g + 3; e = q + 9; o = i + 20; a = e + 20; s = a + 6; i = h + 17; c = z + 7; h = u + 4; f = o + 2; u = 10. If u = 10, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"q": "i + 9", "f": "q + 8", "t": "f + 19", "b": "t + 19", "s": "b + 2", "o": "s + 16", "u": "i + 13", "j": "u + 10", "r": "j + 2", "p": "r + 15", "c": "p + 1", "k": "c + 8", "i": 15}, "premises": {"i": 15}, "target": "o"}, "answer": {"steps": [["s", "b + 2", "b + 18"], ["b", "t + 19", "t + 37"], ["t", "f + 19", "f + 56"], ["f", "q + 8", "q + 64"], ["q", "i + 9", "i + 73"], ["i", 15, "88"]], "target_var_name": "o", "target_value": 88, "value_dict": {"i": 15}, "is_reverse": true}} | 15,414 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = u + 10; f = q + 8; c = p + 1; q = i + 9; r = j + 2; p = r + 15; t = f + 19; k = c + 8; s = b + 2; o = s + 16; u = i + 13; b = t + 19; i = 15. If i = 15, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = b + 2 to o, which gives o = b + 18.\n2. Substitute b = t + 19 to o, which gives o = t + 37.\n3. Substitute t = f + 19 to o, which gives o = f + 56.\n4. Substitute f = q + 8 to o, which gives o = q + 64.\n5. Substitute q = i + 9 to o, which gives o = i + 73.\n6. Substitute i = 15 to o, which gives o = 88.\n\nThus, the final answer is o = \\boxed{88}.",
"index": 15414,
"question": "Consider a system of variables where each variable is defined as follows: j = u + 10; f = q + 8; c = p + 1; q = i + 9; r = j + 2; p = r + 15; t = f + 19; k = c + 8; s = b + 2; o = s + 16; u = i + 13; b = t + 19; i = 15. If i = 15, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"z": "s + 2", "x": "z + 12", "p": "x + 17", "v": "p + 3", "e": "v + 5", "n": "e + 8", "i": "s + 10", "b": "i + 6", "f": "b + 4", "l": "f + 8", "k": "l + 16", "r": "k + 3", "s": 6}, "premises": {"s": 6}, "target": "n"}, "answer": {"steps": [["e", "v + 5", "v + 13"], ["v", "p + 3", "p + 16"], ["p", "x + 17", "x + 33"], ["x", "z + 12", "z + 45"], ["z", "s + 2", "s + 47"], ["s", 6, "53"]], "target_var_name": "n", "target_value": 53, "value_dict": {"s": 6}, "is_reverse": true}} | 15,415 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = l + 16; i = s + 10; n = e + 8; e = v + 5; p = x + 17; z = s + 2; s = 6; r = k + 3; b = i + 6; l = f + 8; x = z + 12; v = p + 3; f = b + 4. Given that s = 6, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = v + 5 to n, which gives n = v + 13.\n2. Substitute v = p + 3 to n, which gives n = p + 16.\n3. Substitute p = x + 17 to n, which gives n = x + 33.\n4. Substitute x = z + 12 to n, which gives n = z + 45.\n5. Substitute z = s + 2 to n, which gives n = s + 47.\n6. Substitute s = 6 to n, which gives n = 53.\n\nThus, the final answer is n = \\boxed{53}.",
"index": 15415,
"question": "Suppose a collection of variables is related by the following definitions: k = l + 16; i = s + 10; n = e + 8; e = v + 5; p = x + 17; z = s + 2; s = 6; r = k + 3; b = i + 6; l = f + 8; x = z + 12; v = p + 3; f = b + 4. Given that s = 6, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"f": "h + 5", "x": "f + 14", "s": "x + 9", "n": "s + 12", "q": "n + 18", "m": "q + 13", "r": "h + 15", "w": "r + 16", "c": "w + 19", "i": "c + 18", "g": "i + 5", "z": "g + 7", "h": 19}, "premises": {"h": 19}, "target": "m"}, "answer": {"steps": [["q", "n + 18", "n + 31"], ["n", "s + 12", "s + 43"], ["s", "x + 9", "x + 52"], ["x", "f + 14", "f + 66"], ["f", "h + 5", "h + 71"], ["h", 19, "90"]], "target_var_name": "m", "target_value": 90, "value_dict": {"h": 19}, "is_reverse": true}} | 15,416 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = x + 9; h = 19; c = w + 19; z = g + 7; x = f + 14; i = c + 18; q = n + 18; w = r + 16; r = h + 15; n = s + 12; m = q + 13; g = i + 5; f = h + 5. Given that h = 19, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = n + 18 to m, which gives m = n + 31.\n2. Substitute n = s + 12 to m, which gives m = s + 43.\n3. Substitute s = x + 9 to m, which gives m = x + 52.\n4. Substitute x = f + 14 to m, which gives m = f + 66.\n5. Substitute f = h + 5 to m, which gives m = h + 71.\n6. Substitute h = 19 to m, which gives m = 90.\n\nThus, the final answer is m = \\boxed{90}.",
"index": 15416,
"question": "Suppose a collection of variables is related by the following definitions: s = x + 9; h = 19; c = w + 19; z = g + 7; x = f + 14; i = c + 18; q = n + 18; w = r + 16; r = h + 15; n = s + 12; m = q + 13; g = i + 5; f = h + 5. Given that h = 19, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"r": "m + 8", "l": "r + 14", "z": "l + 7", "v": "z + 17", "f": "v + 12", "y": "f + 1", "k": "m + 4", "c": "k + 12", "n": "c + 3", "q": "n + 17", "x": "q + 13", "t": "x + 19", "m": 16}, "premises": {"m": 16}, "target": "y"}, "answer": {"steps": [["f", "v + 12", "v + 13"], ["v", "z + 17", "z + 30"], ["z", "l + 7", "l + 37"], ["l", "r + 14", "r + 51"], ["r", "m + 8", "m + 59"], ["m", 16, "75"]], "target_var_name": "y", "target_value": 75, "value_dict": {"m": 16}, "is_reverse": true}} | 15,417 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = n + 17; r = m + 8; m = 16; f = v + 12; n = c + 3; y = f + 1; l = r + 14; z = l + 7; x = q + 13; c = k + 12; v = z + 17; k = m + 4; t = x + 19. Given that m = 16, find 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 f = v + 12 to y, which gives y = v + 13.\n2. Substitute v = z + 17 to y, which gives y = z + 30.\n3. Substitute z = l + 7 to y, which gives y = l + 37.\n4. Substitute l = r + 14 to y, which gives y = r + 51.\n5. Substitute r = m + 8 to y, which gives y = m + 59.\n6. Substitute m = 16 to y, which gives y = 75.\n\nThus, the final answer is y = \\boxed{75}.",
"index": 15417,
"question": "Suppose a collection of variables is related by the following definitions: q = n + 17; r = m + 8; m = 16; f = v + 12; n = c + 3; y = f + 1; l = r + 14; z = l + 7; x = q + 13; c = k + 12; v = z + 17; k = m + 4; t = x + 19. Given that m = 16, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"p": "z + 14", "i": "p + 13", "t": "i + 6", "v": "t + 20", "a": "v + 10", "c": "a + 15", "n": "z + 8", "e": "n + 9", "d": "e + 18", "h": "d + 5", "m": "h + 19", "u": "m + 20", "z": 20}, "premises": {"z": 20}, "target": "c"}, "answer": {"steps": [["a", "v + 10", "v + 25"], ["v", "t + 20", "t + 45"], ["t", "i + 6", "i + 51"], ["i", "p + 13", "p + 64"], ["p", "z + 14", "z + 78"], ["z", 20, "98"]], "target_var_name": "c", "target_value": 98, "value_dict": {"z": 20}, "is_reverse": true}} | 15,418 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = p + 13; e = n + 9; h = d + 5; d = e + 18; c = a + 15; p = z + 14; a = v + 10; n = z + 8; u = m + 20; m = h + 19; t = i + 6; z = 20; v = t + 20. If z = 20, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = v + 10 to c, which gives c = v + 25.\n2. Substitute v = t + 20 to c, which gives c = t + 45.\n3. Substitute t = i + 6 to c, which gives c = i + 51.\n4. Substitute i = p + 13 to c, which gives c = p + 64.\n5. Substitute p = z + 14 to c, which gives c = z + 78.\n6. Substitute z = 20 to c, which gives c = 98.\n\nThus, the final answer is c = \\boxed{98}.",
"index": 15418,
"question": "Consider a system of variables where each variable is defined as follows: i = p + 13; e = n + 9; h = d + 5; d = e + 18; c = a + 15; p = z + 14; a = v + 10; n = z + 8; u = m + 20; m = h + 19; t = i + 6; z = 20; v = t + 20. If z = 20, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"a": "n + 14", "p": "a + 19", "j": "p + 5", "o": "j + 17", "e": "o + 15", "i": "e + 8", "d": "n + 4", "h": "d + 14", "v": "h + 11", "t": "v + 13", "f": "t + 7", "c": "f + 2", "n": 19}, "premises": {"n": 19}, "target": "i"}, "answer": {"steps": [["e", "o + 15", "o + 23"], ["o", "j + 17", "j + 40"], ["j", "p + 5", "p + 45"], ["p", "a + 19", "a + 64"], ["a", "n + 14", "n + 78"], ["n", 19, "97"]], "target_var_name": "i", "target_value": 97, "value_dict": {"n": 19}, "is_reverse": true}} | 15,419 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = j + 17; p = a + 19; f = t + 7; n = 19; e = o + 15; v = h + 11; i = e + 8; c = f + 2; j = p + 5; d = n + 4; a = n + 14; h = d + 14; t = v + 13. Given that n = 19, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = o + 15 to i, which gives i = o + 23.\n2. Substitute o = j + 17 to i, which gives i = j + 40.\n3. Substitute j = p + 5 to i, which gives i = p + 45.\n4. Substitute p = a + 19 to i, which gives i = a + 64.\n5. Substitute a = n + 14 to i, which gives i = n + 78.\n6. Substitute n = 19 to i, which gives i = 97.\n\nThus, the final answer is i = \\boxed{97}.",
"index": 15419,
"question": "Suppose a collection of variables is related by the following definitions: o = j + 17; p = a + 19; f = t + 7; n = 19; e = o + 15; v = h + 11; i = e + 8; c = f + 2; j = p + 5; d = n + 4; a = n + 14; h = d + 14; t = v + 13. Given that n = 19, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"l": "y + 15", "z": "l + 2", "j": "z + 13", "b": "j + 8", "g": "b + 10", "x": "g + 16", "a": "y + 19", "r": "a + 16", "o": "r + 14", "s": "o + 17", "c": "s + 12", "f": "c + 2", "y": 20}, "premises": {"y": 20}, "target": "x"}, "answer": {"steps": [["g", "b + 10", "b + 26"], ["b", "j + 8", "j + 34"], ["j", "z + 13", "z + 47"], ["z", "l + 2", "l + 49"], ["l", "y + 15", "y + 64"], ["y", 20, "84"]], "target_var_name": "x", "target_value": 84, "value_dict": {"y": 20}, "is_reverse": true}} | 15,420 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = l + 2; s = o + 17; g = b + 10; b = j + 8; l = y + 15; j = z + 13; y = 20; f = c + 2; c = s + 12; x = g + 16; r = a + 16; o = r + 14; a = y + 19. Given that y = 20, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = b + 10 to x, which gives x = b + 26.\n2. Substitute b = j + 8 to x, which gives x = j + 34.\n3. Substitute j = z + 13 to x, which gives x = z + 47.\n4. Substitute z = l + 2 to x, which gives x = l + 49.\n5. Substitute l = y + 15 to x, which gives x = y + 64.\n6. Substitute y = 20 to x, which gives x = 84.\n\nThus, the final answer is x = \\boxed{84}.",
"index": 15420,
"question": "Suppose a collection of variables is related by the following definitions: z = l + 2; s = o + 17; g = b + 10; b = j + 8; l = y + 15; j = z + 13; y = 20; f = c + 2; c = s + 12; x = g + 16; r = a + 16; o = r + 14; a = y + 19. Given that y = 20, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"w": "g + 15", "i": "w + 1", "f": "i + 7", "l": "f + 13", "c": "l + 12", "e": "c + 10", "q": "g + 12", "u": "q + 11", "d": "u + 7", "a": "d + 20", "t": "a + 7", "p": "t + 5", "g": 8}, "premises": {"g": 8}, "target": "e"}, "answer": {"steps": [["c", "l + 12", "l + 22"], ["l", "f + 13", "f + 35"], ["f", "i + 7", "i + 42"], ["i", "w + 1", "w + 43"], ["w", "g + 15", "g + 58"], ["g", 8, "66"]], "target_var_name": "e", "target_value": 66, "value_dict": {"g": 8}, "is_reverse": true}} | 15,421 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = c + 10; t = a + 7; g = 8; w = g + 15; a = d + 20; q = g + 12; u = q + 11; d = u + 7; i = w + 1; f = i + 7; c = l + 12; l = f + 13; p = t + 5. Given that g = 8, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = l + 12 to e, which gives e = l + 22.\n2. Substitute l = f + 13 to e, which gives e = f + 35.\n3. Substitute f = i + 7 to e, which gives e = i + 42.\n4. Substitute i = w + 1 to e, which gives e = w + 43.\n5. Substitute w = g + 15 to e, which gives e = g + 58.\n6. Substitute g = 8 to e, which gives e = 66.\n\nThus, the final answer is e = \\boxed{66}.",
"index": 15421,
"question": "Suppose a collection of variables is related by the following definitions: e = c + 10; t = a + 7; g = 8; w = g + 15; a = d + 20; q = g + 12; u = q + 11; d = u + 7; i = w + 1; f = i + 7; c = l + 12; l = f + 13; p = t + 5. Given that g = 8, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"z": "m + 1", "k": "z + 12", "t": "k + 2", "w": "t + 9", "o": "w + 12", "p": "o + 12", "x": "m + 3", "u": "x + 6", "s": "u + 20", "b": "s + 19", "l": "b + 11", "q": "l + 10", "m": 1}, "premises": {"m": 1}, "target": "p"}, "answer": {"steps": [["o", "w + 12", "w + 24"], ["w", "t + 9", "t + 33"], ["t", "k + 2", "k + 35"], ["k", "z + 12", "z + 47"], ["z", "m + 1", "m + 48"], ["m", 1, "49"]], "target_var_name": "p", "target_value": 49, "value_dict": {"m": 1}, "is_reverse": true}} | 15,422 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = z + 12; p = o + 12; s = u + 20; u = x + 6; w = t + 9; x = m + 3; z = m + 1; m = 1; l = b + 11; q = l + 10; b = s + 19; o = w + 12; t = k + 2. If m = 1, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = w + 12 to p, which gives p = w + 24.\n2. Substitute w = t + 9 to p, which gives p = t + 33.\n3. Substitute t = k + 2 to p, which gives p = k + 35.\n4. Substitute k = z + 12 to p, which gives p = z + 47.\n5. Substitute z = m + 1 to p, which gives p = m + 48.\n6. Substitute m = 1 to p, which gives p = 49.\n\nThus, the final answer is p = \\boxed{49}.",
"index": 15422,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = z + 12; p = o + 12; s = u + 20; u = x + 6; w = t + 9; x = m + 3; z = m + 1; m = 1; l = b + 11; q = l + 10; b = s + 19; o = w + 12; t = k + 2. If m = 1, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"l": "t + 12", "b": "l + 1", "a": "b + 8", "k": "a + 6", "e": "k + 5", "f": "e + 10", "d": "t + 6", "o": "d + 5", "i": "o + 14", "c": "i + 9", "u": "c + 8", "x": "u + 3", "t": 10}, "premises": {"t": 10}, "target": "f"}, "answer": {"steps": [["e", "k + 5", "k + 15"], ["k", "a + 6", "a + 21"], ["a", "b + 8", "b + 29"], ["b", "l + 1", "l + 30"], ["l", "t + 12", "t + 42"], ["t", 10, "52"]], "target_var_name": "f", "target_value": 52, "value_dict": {"t": 10}, "is_reverse": true}} | 15,423 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = d + 5; i = o + 14; c = i + 9; e = k + 5; l = t + 12; k = a + 6; f = e + 10; b = l + 1; d = t + 6; a = b + 8; u = c + 8; x = u + 3; t = 10. Given that t = 10, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = k + 5 to f, which gives f = k + 15.\n2. Substitute k = a + 6 to f, which gives f = a + 21.\n3. Substitute a = b + 8 to f, which gives f = b + 29.\n4. Substitute b = l + 1 to f, which gives f = l + 30.\n5. Substitute l = t + 12 to f, which gives f = t + 42.\n6. Substitute t = 10 to f, which gives f = 52.\n\nThus, the final answer is f = \\boxed{52}.",
"index": 15423,
"question": "Suppose a collection of variables is related by the following definitions: o = d + 5; i = o + 14; c = i + 9; e = k + 5; l = t + 12; k = a + 6; f = e + 10; b = l + 1; d = t + 6; a = b + 8; u = c + 8; x = u + 3; t = 10. Given that t = 10, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"f": "d + 2", "k": "f + 12", "g": "k + 6", "r": "g + 13", "o": "r + 12", "l": "o + 15", "y": "d + 19", "q": "y + 5", "j": "q + 4", "z": "j + 14", "x": "z + 18", "a": "x + 16", "d": 14}, "premises": {"d": 14}, "target": "l"}, "answer": {"steps": [["o", "r + 12", "r + 27"], ["r", "g + 13", "g + 40"], ["g", "k + 6", "k + 46"], ["k", "f + 12", "f + 58"], ["f", "d + 2", "d + 60"], ["d", 14, "74"]], "target_var_name": "l", "target_value": 74, "value_dict": {"d": 14}, "is_reverse": true}} | 15,424 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = r + 12; y = d + 19; j = q + 4; q = y + 5; k = f + 12; f = d + 2; z = j + 14; l = o + 15; g = k + 6; d = 14; x = z + 18; a = x + 16; r = g + 13. If d = 14, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = r + 12 to l, which gives l = r + 27.\n2. Substitute r = g + 13 to l, which gives l = g + 40.\n3. Substitute g = k + 6 to l, which gives l = k + 46.\n4. Substitute k = f + 12 to l, which gives l = f + 58.\n5. Substitute f = d + 2 to l, which gives l = d + 60.\n6. Substitute d = 14 to l, which gives l = 74.\n\nThus, the final answer is l = \\boxed{74}.",
"index": 15424,
"question": "Consider a system of variables where each variable is defined as follows: o = r + 12; y = d + 19; j = q + 4; q = y + 5; k = f + 12; f = d + 2; z = j + 14; l = o + 15; g = k + 6; d = 14; x = z + 18; a = x + 16; r = g + 13. If d = 14, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"r": "a + 20", "e": "r + 2", "i": "e + 14", "g": "i + 15", "b": "g + 20", "o": "b + 16", "v": "a + 2", "z": "v + 6", "f": "z + 4", "x": "f + 8", "u": "x + 3", "m": "u + 11", "a": 7}, "premises": {"a": 7}, "target": "o"}, "answer": {"steps": [["b", "g + 20", "g + 36"], ["g", "i + 15", "i + 51"], ["i", "e + 14", "e + 65"], ["e", "r + 2", "r + 67"], ["r", "a + 20", "a + 87"], ["a", 7, "94"]], "target_var_name": "o", "target_value": 94, "value_dict": {"a": 7}, "is_reverse": true}} | 15,425 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = g + 20; z = v + 6; a = 7; i = e + 14; r = a + 20; u = x + 3; f = z + 4; m = u + 11; o = b + 16; e = r + 2; x = f + 8; g = i + 15; v = a + 2. Given that a = 7, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = g + 20 to o, which gives o = g + 36.\n2. Substitute g = i + 15 to o, which gives o = i + 51.\n3. Substitute i = e + 14 to o, which gives o = e + 65.\n4. Substitute e = r + 2 to o, which gives o = r + 67.\n5. Substitute r = a + 20 to o, which gives o = a + 87.\n6. Substitute a = 7 to o, which gives o = 94.\n\nThus, the final answer is o = \\boxed{94}.",
"index": 15425,
"question": "Suppose a collection of variables is related by the following definitions: b = g + 20; z = v + 6; a = 7; i = e + 14; r = a + 20; u = x + 3; f = z + 4; m = u + 11; o = b + 16; e = r + 2; x = f + 8; g = i + 15; v = a + 2. Given that a = 7, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"p": "d + 7", "w": "p + 13", "l": "w + 12", "h": "l + 13", "o": "h + 15", "e": "o + 7", "s": "d + 15", "m": "s + 14", "x": "m + 16", "v": "x + 13", "b": "v + 18", "n": "b + 11", "d": 11}, "premises": {"d": 11}, "target": "e"}, "answer": {"steps": [["o", "h + 15", "h + 22"], ["h", "l + 13", "l + 35"], ["l", "w + 12", "w + 47"], ["w", "p + 13", "p + 60"], ["p", "d + 7", "d + 67"], ["d", 11, "78"]], "target_var_name": "e", "target_value": 78, "value_dict": {"d": 11}, "is_reverse": true}} | 15,426 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = h + 15; n = b + 11; s = d + 15; x = m + 16; b = v + 18; v = x + 13; l = w + 12; d = 11; h = l + 13; p = d + 7; w = p + 13; e = o + 7; m = s + 14. If d = 11, 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 o = h + 15 to e, which gives e = h + 22.\n2. Substitute h = l + 13 to e, which gives e = l + 35.\n3. Substitute l = w + 12 to e, which gives e = w + 47.\n4. Substitute w = p + 13 to e, which gives e = p + 60.\n5. Substitute p = d + 7 to e, which gives e = d + 67.\n6. Substitute d = 11 to e, which gives e = 78.\n\nThus, the final answer is e = \\boxed{78}.",
"index": 15426,
"question": "Consider a system of variables where each variable is defined as follows: o = h + 15; n = b + 11; s = d + 15; x = m + 16; b = v + 18; v = x + 13; l = w + 12; d = 11; h = l + 13; p = d + 7; w = p + 13; e = o + 7; m = s + 14. If d = 11, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"d": "c + 13", "v": "d + 2", "i": "v + 1", "g": "i + 9", "h": "g + 12", "j": "h + 5", "f": "c + 19", "e": "f + 4", "r": "e + 11", "o": "r + 11", "y": "o + 9", "w": "y + 19", "c": 16}, "premises": {"c": 16}, "target": "j"}, "answer": {"steps": [["h", "g + 12", "g + 17"], ["g", "i + 9", "i + 26"], ["i", "v + 1", "v + 27"], ["v", "d + 2", "d + 29"], ["d", "c + 13", "c + 42"], ["c", 16, "58"]], "target_var_name": "j", "target_value": 58, "value_dict": {"c": 16}, "is_reverse": true}} | 15,427 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = i + 9; y = o + 9; h = g + 12; c = 16; e = f + 4; f = c + 19; d = c + 13; r = e + 11; j = h + 5; w = y + 19; v = d + 2; o = r + 11; i = v + 1. Given that c = 16, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = g + 12 to j, which gives j = g + 17.\n2. Substitute g = i + 9 to j, which gives j = i + 26.\n3. Substitute i = v + 1 to j, which gives j = v + 27.\n4. Substitute v = d + 2 to j, which gives j = d + 29.\n5. Substitute d = c + 13 to j, which gives j = c + 42.\n6. Substitute c = 16 to j, which gives j = 58.\n\nThus, the final answer is j = \\boxed{58}.",
"index": 15427,
"question": "Suppose a collection of variables is related by the following definitions: g = i + 9; y = o + 9; h = g + 12; c = 16; e = f + 4; f = c + 19; d = c + 13; r = e + 11; j = h + 5; w = y + 19; v = d + 2; o = r + 11; i = v + 1. Given that c = 16, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"f": "c + 6", "g": "f + 13", "n": "g + 18", "r": "n + 10", "x": "r + 19", "z": "x + 3", "v": "c + 4", "j": "v + 9", "t": "j + 7", "q": "t + 18", "p": "q + 13", "l": "p + 18", "c": 6}, "premises": {"c": 6}, "target": "z"}, "answer": {"steps": [["x", "r + 19", "r + 22"], ["r", "n + 10", "n + 32"], ["n", "g + 18", "g + 50"], ["g", "f + 13", "f + 63"], ["f", "c + 6", "c + 69"], ["c", 6, "75"]], "target_var_name": "z", "target_value": 75, "value_dict": {"c": 6}, "is_reverse": true}} | 15,428 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = 6; x = r + 19; j = v + 9; r = n + 10; f = c + 6; l = p + 18; g = f + 13; q = t + 18; t = j + 7; z = x + 3; p = q + 13; v = c + 4; n = g + 18. If c = 6, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = r + 19 to z, which gives z = r + 22.\n2. Substitute r = n + 10 to z, which gives z = n + 32.\n3. Substitute n = g + 18 to z, which gives z = g + 50.\n4. Substitute g = f + 13 to z, which gives z = f + 63.\n5. Substitute f = c + 6 to z, which gives z = c + 69.\n6. Substitute c = 6 to z, which gives z = 75.\n\nThus, the final answer is z = \\boxed{75}.",
"index": 15428,
"question": "Consider a system of variables where each variable is defined as follows: c = 6; x = r + 19; j = v + 9; r = n + 10; f = c + 6; l = p + 18; g = f + 13; q = t + 18; t = j + 7; z = x + 3; p = q + 13; v = c + 4; n = g + 18. If c = 6, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"f": "l + 7", "y": "f + 1", "p": "y + 13", "e": "p + 4", "i": "e + 17", "j": "i + 3", "o": "l + 6", "u": "o + 14", "w": "u + 5", "a": "w + 2", "c": "a + 10", "b": "c + 1", "l": 13}, "premises": {"l": 13}, "target": "j"}, "answer": {"steps": [["i", "e + 17", "e + 20"], ["e", "p + 4", "p + 24"], ["p", "y + 13", "y + 37"], ["y", "f + 1", "f + 38"], ["f", "l + 7", "l + 45"], ["l", 13, "58"]], "target_var_name": "j", "target_value": 58, "value_dict": {"l": 13}, "is_reverse": true}} | 15,429 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = 13; w = u + 5; f = l + 7; e = p + 4; a = w + 2; b = c + 1; y = f + 1; i = e + 17; p = y + 13; o = l + 6; u = o + 14; j = i + 3; c = a + 10. Given that l = 13, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = e + 17 to j, which gives j = e + 20.\n2. Substitute e = p + 4 to j, which gives j = p + 24.\n3. Substitute p = y + 13 to j, which gives j = y + 37.\n4. Substitute y = f + 1 to j, which gives j = f + 38.\n5. Substitute f = l + 7 to j, which gives j = l + 45.\n6. Substitute l = 13 to j, which gives j = 58.\n\nThus, the final answer is j = \\boxed{58}.",
"index": 15429,
"question": "Suppose a collection of variables is related by the following definitions: l = 13; w = u + 5; f = l + 7; e = p + 4; a = w + 2; b = c + 1; y = f + 1; i = e + 17; p = y + 13; o = l + 6; u = o + 14; j = i + 3; c = a + 10. Given that l = 13, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"y": "r + 15", "v": "y + 7", "g": "v + 12", "i": "g + 15", "d": "i + 6", "j": "d + 14", "m": "r + 5", "w": "m + 19", "n": "w + 1", "s": "n + 8", "e": "s + 19", "b": "e + 8", "r": 20}, "premises": {"r": 20}, "target": "j"}, "answer": {"steps": [["d", "i + 6", "i + 20"], ["i", "g + 15", "g + 35"], ["g", "v + 12", "v + 47"], ["v", "y + 7", "y + 54"], ["y", "r + 15", "r + 69"], ["r", 20, "89"]], "target_var_name": "j", "target_value": 89, "value_dict": {"r": 20}, "is_reverse": true}} | 15,430 | 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 = i + 6; g = v + 12; y = r + 15; m = r + 5; b = e + 8; s = n + 8; e = s + 19; n = w + 1; i = g + 15; r = 20; j = d + 14; w = m + 19; v = y + 7. If r = 20, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = i + 6 to j, which gives j = i + 20.\n2. Substitute i = g + 15 to j, which gives j = g + 35.\n3. Substitute g = v + 12 to j, which gives j = v + 47.\n4. Substitute v = y + 7 to j, which gives j = y + 54.\n5. Substitute y = r + 15 to j, which gives j = r + 69.\n6. Substitute r = 20 to j, which gives j = 89.\n\nThus, the final answer is j = \\boxed{89}.",
"index": 15430,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = i + 6; g = v + 12; y = r + 15; m = r + 5; b = e + 8; s = n + 8; e = s + 19; n = w + 1; i = g + 15; r = 20; j = d + 14; w = m + 19; v = y + 7. If r = 20, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"j": "i + 10", "l": "j + 17", "c": "l + 1", "k": "c + 18", "t": "k + 11", "m": "t + 6", "y": "i + 7", "x": "y + 1", "f": "x + 17", "v": "f + 6", "z": "v + 19", "n": "z + 6", "i": 9}, "premises": {"i": 9}, "target": "m"}, "answer": {"steps": [["t", "k + 11", "k + 17"], ["k", "c + 18", "c + 35"], ["c", "l + 1", "l + 36"], ["l", "j + 17", "j + 53"], ["j", "i + 10", "i + 63"], ["i", 9, "72"]], "target_var_name": "m", "target_value": 72, "value_dict": {"i": 9}, "is_reverse": true}} | 15,431 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = x + 17; x = y + 1; v = f + 6; c = l + 1; i = 9; m = t + 6; y = i + 7; n = z + 6; z = v + 19; j = i + 10; k = c + 18; l = j + 17; t = k + 11. Given that i = 9, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = k + 11 to m, which gives m = k + 17.\n2. Substitute k = c + 18 to m, which gives m = c + 35.\n3. Substitute c = l + 1 to m, which gives m = l + 36.\n4. Substitute l = j + 17 to m, which gives m = j + 53.\n5. Substitute j = i + 10 to m, which gives m = i + 63.\n6. Substitute i = 9 to m, which gives m = 72.\n\nThus, the final answer is m = \\boxed{72}.",
"index": 15431,
"question": "Suppose a collection of variables is related by the following definitions: f = x + 17; x = y + 1; v = f + 6; c = l + 1; i = 9; m = t + 6; y = i + 7; n = z + 6; z = v + 19; j = i + 10; k = c + 18; l = j + 17; t = k + 11. Given that i = 9, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"s": "u + 9", "a": "s + 11", "w": "a + 7", "m": "w + 19", "y": "m + 5", "d": "y + 17", "v": "u + 3", "k": "v + 12", "t": "k + 1", "i": "t + 12", "x": "i + 1", "g": "x + 10", "u": 15}, "premises": {"u": 15}, "target": "d"}, "answer": {"steps": [["y", "m + 5", "m + 22"], ["m", "w + 19", "w + 41"], ["w", "a + 7", "a + 48"], ["a", "s + 11", "s + 59"], ["s", "u + 9", "u + 68"], ["u", 15, "83"]], "target_var_name": "d", "target_value": 83, "value_dict": {"u": 15}, "is_reverse": true}} | 15,432 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = x + 10; y = m + 5; i = t + 12; t = k + 1; k = v + 12; d = y + 17; w = a + 7; s = u + 9; v = u + 3; m = w + 19; u = 15; a = s + 11; x = i + 1. If u = 15, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = m + 5 to d, which gives d = m + 22.\n2. Substitute m = w + 19 to d, which gives d = w + 41.\n3. Substitute w = a + 7 to d, which gives d = a + 48.\n4. Substitute a = s + 11 to d, which gives d = s + 59.\n5. Substitute s = u + 9 to d, which gives d = u + 68.\n6. Substitute u = 15 to d, which gives d = 83.\n\nThus, the final answer is d = \\boxed{83}.",
"index": 15432,
"question": "Consider a system of variables where each variable is defined as follows: g = x + 10; y = m + 5; i = t + 12; t = k + 1; k = v + 12; d = y + 17; w = a + 7; s = u + 9; v = u + 3; m = w + 19; u = 15; a = s + 11; x = i + 1. If u = 15, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"b": "j + 15", "o": "b + 1", "a": "o + 16", "m": "a + 19", "x": "m + 16", "p": "x + 17", "l": "j + 13", "g": "l + 8", "u": "g + 11", "d": "u + 14", "v": "d + 1", "e": "v + 8", "j": 6}, "premises": {"j": 6}, "target": "p"}, "answer": {"steps": [["x", "m + 16", "m + 33"], ["m", "a + 19", "a + 52"], ["a", "o + 16", "o + 68"], ["o", "b + 1", "b + 69"], ["b", "j + 15", "j + 84"], ["j", 6, "90"]], "target_var_name": "p", "target_value": 90, "value_dict": {"j": 6}, "is_reverse": true}} | 15,433 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = a + 19; x = m + 16; a = o + 16; v = d + 1; b = j + 15; d = u + 14; j = 6; e = v + 8; g = l + 8; u = g + 11; l = j + 13; o = b + 1; p = x + 17. If j = 6, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = m + 16 to p, which gives p = m + 33.\n2. Substitute m = a + 19 to p, which gives p = a + 52.\n3. Substitute a = o + 16 to p, which gives p = o + 68.\n4. Substitute o = b + 1 to p, which gives p = b + 69.\n5. Substitute b = j + 15 to p, which gives p = j + 84.\n6. Substitute j = 6 to p, which gives p = 90.\n\nThus, the final answer is p = \\boxed{90}.",
"index": 15433,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = a + 19; x = m + 16; a = o + 16; v = d + 1; b = j + 15; d = u + 14; j = 6; e = v + 8; g = l + 8; u = g + 11; l = j + 13; o = b + 1; p = x + 17. If j = 6, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"o": "f + 5", "d": "o + 1", "b": "d + 14", "g": "b + 3", "q": "g + 14", "p": "q + 20", "l": "f + 1", "x": "l + 18", "t": "x + 11", "u": "t + 11", "c": "u + 13", "y": "c + 19", "f": 4}, "premises": {"f": 4}, "target": "p"}, "answer": {"steps": [["q", "g + 14", "g + 34"], ["g", "b + 3", "b + 37"], ["b", "d + 14", "d + 51"], ["d", "o + 1", "o + 52"], ["o", "f + 5", "f + 57"], ["f", 4, "61"]], "target_var_name": "p", "target_value": 61, "value_dict": {"f": 4}, "is_reverse": true}} | 15,434 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = 4; q = g + 14; u = t + 11; d = o + 1; x = l + 18; c = u + 13; l = f + 1; y = c + 19; t = x + 11; p = q + 20; g = b + 3; b = d + 14; o = f + 5. If f = 4, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = g + 14 to p, which gives p = g + 34.\n2. Substitute g = b + 3 to p, which gives p = b + 37.\n3. Substitute b = d + 14 to p, which gives p = d + 51.\n4. Substitute d = o + 1 to p, which gives p = o + 52.\n5. Substitute o = f + 5 to p, which gives p = f + 57.\n6. Substitute f = 4 to p, which gives p = 61.\n\nThus, the final answer is p = \\boxed{61}.",
"index": 15434,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = 4; q = g + 14; u = t + 11; d = o + 1; x = l + 18; c = u + 13; l = f + 1; y = c + 19; t = x + 11; p = q + 20; g = b + 3; b = d + 14; o = f + 5. If f = 4, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"r": "h + 4", "x": "r + 4", "l": "x + 18", "a": "l + 16", "m": "a + 5", "w": "m + 17", "i": "h + 13", "o": "i + 17", "g": "o + 7", "e": "g + 10", "q": "e + 9", "y": "q + 9", "h": 8}, "premises": {"h": 8}, "target": "w"}, "answer": {"steps": [["m", "a + 5", "a + 22"], ["a", "l + 16", "l + 38"], ["l", "x + 18", "x + 56"], ["x", "r + 4", "r + 60"], ["r", "h + 4", "h + 64"], ["h", 8, "72"]], "target_var_name": "w", "target_value": 72, "value_dict": {"h": 8}, "is_reverse": true}} | 15,435 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = r + 4; r = h + 4; m = a + 5; e = g + 10; w = m + 17; q = e + 9; l = x + 18; i = h + 13; a = l + 16; h = 8; y = q + 9; o = i + 17; g = o + 7. If h = 8, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = a + 5 to w, which gives w = a + 22.\n2. Substitute a = l + 16 to w, which gives w = l + 38.\n3. Substitute l = x + 18 to w, which gives w = x + 56.\n4. Substitute x = r + 4 to w, which gives w = r + 60.\n5. Substitute r = h + 4 to w, which gives w = h + 64.\n6. Substitute h = 8 to w, which gives w = 72.\n\nThus, the final answer is w = \\boxed{72}.",
"index": 15435,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = r + 4; r = h + 4; m = a + 5; e = g + 10; w = m + 17; q = e + 9; l = x + 18; i = h + 13; a = l + 16; h = 8; y = q + 9; o = i + 17; g = o + 7. If h = 8, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"h": "v + 1", "b": "h + 14", "g": "b + 2", "z": "g + 11", "w": "z + 6", "k": "w + 13", "n": "v + 16", "c": "n + 4", "s": "c + 17", "m": "s + 10", "a": "m + 18", "l": "a + 4", "v": 7}, "premises": {"v": 7}, "target": "k"}, "answer": {"steps": [["w", "z + 6", "z + 19"], ["z", "g + 11", "g + 30"], ["g", "b + 2", "b + 32"], ["b", "h + 14", "h + 46"], ["h", "v + 1", "v + 47"], ["v", 7, "54"]], "target_var_name": "k", "target_value": 54, "value_dict": {"v": 7}, "is_reverse": true}} | 15,436 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = m + 18; s = c + 17; n = v + 16; m = s + 10; g = b + 2; b = h + 14; l = a + 4; h = v + 1; c = n + 4; k = w + 13; z = g + 11; v = 7; w = z + 6. If v = 7, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = z + 6 to k, which gives k = z + 19.\n2. Substitute z = g + 11 to k, which gives k = g + 30.\n3. Substitute g = b + 2 to k, which gives k = b + 32.\n4. Substitute b = h + 14 to k, which gives k = h + 46.\n5. Substitute h = v + 1 to k, which gives k = v + 47.\n6. Substitute v = 7 to k, which gives k = 54.\n\nThus, the final answer is k = \\boxed{54}.",
"index": 15436,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = m + 18; s = c + 17; n = v + 16; m = s + 10; g = b + 2; b = h + 14; l = a + 4; h = v + 1; c = n + 4; k = w + 13; z = g + 11; v = 7; w = z + 6. If v = 7, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"p": "c + 12", "j": "p + 3", "t": "j + 19", "d": "t + 12", "g": "d + 20", "o": "g + 9", "h": "c + 7", "q": "h + 20", "n": "q + 9", "v": "n + 15", "x": "v + 3", "i": "x + 2", "c": 1}, "premises": {"c": 1}, "target": "o"}, "answer": {"steps": [["g", "d + 20", "d + 29"], ["d", "t + 12", "t + 41"], ["t", "j + 19", "j + 60"], ["j", "p + 3", "p + 63"], ["p", "c + 12", "c + 75"], ["c", 1, "76"]], "target_var_name": "o", "target_value": 76, "value_dict": {"c": 1}, "is_reverse": true}} | 15,437 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = v + 3; p = c + 12; c = 1; i = x + 2; v = n + 15; o = g + 9; q = h + 20; j = p + 3; g = d + 20; n = q + 9; t = j + 19; h = c + 7; d = t + 12. If c = 1, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = d + 20 to o, which gives o = d + 29.\n2. Substitute d = t + 12 to o, which gives o = t + 41.\n3. Substitute t = j + 19 to o, which gives o = j + 60.\n4. Substitute j = p + 3 to o, which gives o = p + 63.\n5. Substitute p = c + 12 to o, which gives o = c + 75.\n6. Substitute c = 1 to o, which gives o = 76.\n\nThus, the final answer is o = \\boxed{76}.",
"index": 15437,
"question": "Consider a system of variables where each variable is defined as follows: x = v + 3; p = c + 12; c = 1; i = x + 2; v = n + 15; o = g + 9; q = h + 20; j = p + 3; g = d + 20; n = q + 9; t = j + 19; h = c + 7; d = t + 12. If c = 1, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"g": "m + 2", "j": "g + 17", "t": "j + 14", "s": "t + 11", "y": "s + 4", "e": "y + 6", "a": "m + 19", "z": "a + 9", "q": "z + 2", "h": "q + 6", "n": "h + 3", "l": "n + 1", "m": 20}, "premises": {"m": 20}, "target": "e"}, "answer": {"steps": [["y", "s + 4", "s + 10"], ["s", "t + 11", "t + 21"], ["t", "j + 14", "j + 35"], ["j", "g + 17", "g + 52"], ["g", "m + 2", "m + 54"], ["m", 20, "74"]], "target_var_name": "e", "target_value": 74, "value_dict": {"m": 20}, "is_reverse": true}} | 15,438 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = j + 14; h = q + 6; q = z + 2; j = g + 17; l = n + 1; a = m + 19; y = s + 4; m = 20; g = m + 2; s = t + 11; z = a + 9; n = h + 3; e = y + 6. If m = 20, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = s + 4 to e, which gives e = s + 10.\n2. Substitute s = t + 11 to e, which gives e = t + 21.\n3. Substitute t = j + 14 to e, which gives e = j + 35.\n4. Substitute j = g + 17 to e, which gives e = g + 52.\n5. Substitute g = m + 2 to e, which gives e = m + 54.\n6. Substitute m = 20 to e, which gives e = 74.\n\nThus, the final answer is e = \\boxed{74}.",
"index": 15438,
"question": "Consider a system of variables where each variable is defined as follows: t = j + 14; h = q + 6; q = z + 2; j = g + 17; l = n + 1; a = m + 19; y = s + 4; m = 20; g = m + 2; s = t + 11; z = a + 9; n = h + 3; e = y + 6. If m = 20, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"l": "z + 12", "u": "l + 5", "i": "u + 8", "k": "i + 12", "w": "k + 3", "m": "w + 19", "y": "z + 12", "v": "y + 7", "n": "v + 16", "j": "n + 1", "t": "j + 9", "r": "t + 5", "z": 19}, "premises": {"z": 19}, "target": "m"}, "answer": {"steps": [["w", "k + 3", "k + 22"], ["k", "i + 12", "i + 34"], ["i", "u + 8", "u + 42"], ["u", "l + 5", "l + 47"], ["l", "z + 12", "z + 59"], ["z", 19, "78"]], "target_var_name": "m", "target_value": 78, "value_dict": {"z": 19}, "is_reverse": true}} | 15,439 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = z + 12; k = i + 12; u = l + 5; i = u + 8; z = 19; j = n + 1; n = v + 16; r = t + 5; t = j + 9; w = k + 3; m = w + 19; l = z + 12; v = y + 7. Given that z = 19, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = k + 3 to m, which gives m = k + 22.\n2. Substitute k = i + 12 to m, which gives m = i + 34.\n3. Substitute i = u + 8 to m, which gives m = u + 42.\n4. Substitute u = l + 5 to m, which gives m = l + 47.\n5. Substitute l = z + 12 to m, which gives m = z + 59.\n6. Substitute z = 19 to m, which gives m = 78.\n\nThus, the final answer is m = \\boxed{78}.",
"index": 15439,
"question": "Suppose a collection of variables is related by the following definitions: y = z + 12; k = i + 12; u = l + 5; i = u + 8; z = 19; j = n + 1; n = v + 16; r = t + 5; t = j + 9; w = k + 3; m = w + 19; l = z + 12; v = y + 7. Given that z = 19, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"v": "b + 4", "c": "v + 6", "q": "c + 8", "h": "q + 13", "m": "h + 11", "j": "m + 20", "f": "b + 5", "p": "f + 20", "k": "p + 10", "t": "k + 9", "a": "t + 9", "n": "a + 20", "b": 20}, "premises": {"b": 20}, "target": "j"}, "answer": {"steps": [["m", "h + 11", "h + 31"], ["h", "q + 13", "q + 44"], ["q", "c + 8", "c + 52"], ["c", "v + 6", "v + 58"], ["v", "b + 4", "b + 62"], ["b", 20, "82"]], "target_var_name": "j", "target_value": 82, "value_dict": {"b": 20}, "is_reverse": true}} | 15,440 | 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 = b + 5; n = a + 20; t = k + 9; m = h + 11; c = v + 6; v = b + 4; a = t + 9; j = m + 20; b = 20; k = p + 10; q = c + 8; h = q + 13; p = f + 20. If b = 20, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = h + 11 to j, which gives j = h + 31.\n2. Substitute h = q + 13 to j, which gives j = q + 44.\n3. Substitute q = c + 8 to j, which gives j = c + 52.\n4. Substitute c = v + 6 to j, which gives j = v + 58.\n5. Substitute v = b + 4 to j, which gives j = b + 62.\n6. Substitute b = 20 to j, which gives j = 82.\n\nThus, the final answer is j = \\boxed{82}.",
"index": 15440,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = b + 5; n = a + 20; t = k + 9; m = h + 11; c = v + 6; v = b + 4; a = t + 9; j = m + 20; b = 20; k = p + 10; q = c + 8; h = q + 13; p = f + 20. If b = 20, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"v": "s + 2", "h": "v + 18", "n": "h + 6", "l": "n + 9", "o": "l + 16", "m": "o + 3", "w": "s + 17", "q": "w + 9", "x": "q + 7", "c": "x + 16", "b": "c + 15", "k": "b + 18", "s": 15}, "premises": {"s": 15}, "target": "m"}, "answer": {"steps": [["o", "l + 16", "l + 19"], ["l", "n + 9", "n + 28"], ["n", "h + 6", "h + 34"], ["h", "v + 18", "v + 52"], ["v", "s + 2", "s + 54"], ["s", 15, "69"]], "target_var_name": "m", "target_value": 69, "value_dict": {"s": 15}, "is_reverse": true}} | 15,441 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = q + 7; l = n + 9; h = v + 18; b = c + 15; q = w + 9; s = 15; n = h + 6; k = b + 18; o = l + 16; w = s + 17; c = x + 16; v = s + 2; m = o + 3. Given that s = 15, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = l + 16 to m, which gives m = l + 19.\n2. Substitute l = n + 9 to m, which gives m = n + 28.\n3. Substitute n = h + 6 to m, which gives m = h + 34.\n4. Substitute h = v + 18 to m, which gives m = v + 52.\n5. Substitute v = s + 2 to m, which gives m = s + 54.\n6. Substitute s = 15 to m, which gives m = 69.\n\nThus, the final answer is m = \\boxed{69}.",
"index": 15441,
"question": "Suppose a collection of variables is related by the following definitions: x = q + 7; l = n + 9; h = v + 18; b = c + 15; q = w + 9; s = 15; n = h + 6; k = b + 18; o = l + 16; w = s + 17; c = x + 16; v = s + 2; m = o + 3. Given that s = 15, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"s": "b + 19", "o": "s + 2", "r": "o + 12", "c": "r + 19", "h": "c + 7", "v": "h + 3", "d": "b + 14", "x": "d + 14", "p": "x + 6", "w": "p + 11", "g": "w + 15", "l": "g + 8", "b": 10}, "premises": {"b": 10}, "target": "v"}, "answer": {"steps": [["h", "c + 7", "c + 10"], ["c", "r + 19", "r + 29"], ["r", "o + 12", "o + 41"], ["o", "s + 2", "s + 43"], ["s", "b + 19", "b + 62"], ["b", 10, "72"]], "target_var_name": "v", "target_value": 72, "value_dict": {"b": 10}, "is_reverse": true}} | 15,442 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = p + 11; c = r + 19; s = b + 19; v = h + 3; o = s + 2; l = g + 8; x = d + 14; r = o + 12; g = w + 15; p = x + 6; b = 10; h = c + 7; d = b + 14. Given that b = 10, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = c + 7 to v, which gives v = c + 10.\n2. Substitute c = r + 19 to v, which gives v = r + 29.\n3. Substitute r = o + 12 to v, which gives v = o + 41.\n4. Substitute o = s + 2 to v, which gives v = s + 43.\n5. Substitute s = b + 19 to v, which gives v = b + 62.\n6. Substitute b = 10 to v, which gives v = 72.\n\nThus, the final answer is v = \\boxed{72}.",
"index": 15442,
"question": "Suppose a collection of variables is related by the following definitions: w = p + 11; c = r + 19; s = b + 19; v = h + 3; o = s + 2; l = g + 8; x = d + 14; r = o + 12; g = w + 15; p = x + 6; b = 10; h = c + 7; d = b + 14. Given that b = 10, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"u": "a + 2", "e": "u + 10", "i": "e + 5", "k": "i + 9", "m": "k + 3", "d": "m + 7", "j": "a + 16", "y": "j + 2", "q": "y + 1", "f": "q + 19", "l": "f + 10", "o": "l + 1", "a": 14}, "premises": {"a": 14}, "target": "d"}, "answer": {"steps": [["m", "k + 3", "k + 10"], ["k", "i + 9", "i + 19"], ["i", "e + 5", "e + 24"], ["e", "u + 10", "u + 34"], ["u", "a + 2", "a + 36"], ["a", 14, "50"]], "target_var_name": "d", "target_value": 50, "value_dict": {"a": 14}, "is_reverse": true}} | 15,443 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = 14; f = q + 19; u = a + 2; o = l + 1; e = u + 10; y = j + 2; q = y + 1; m = k + 3; d = m + 7; j = a + 16; k = i + 9; l = f + 10; i = e + 5. Given that a = 14, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = k + 3 to d, which gives d = k + 10.\n2. Substitute k = i + 9 to d, which gives d = i + 19.\n3. Substitute i = e + 5 to d, which gives d = e + 24.\n4. Substitute e = u + 10 to d, which gives d = u + 34.\n5. Substitute u = a + 2 to d, which gives d = a + 36.\n6. Substitute a = 14 to d, which gives d = 50.\n\nThus, the final answer is d = \\boxed{50}.",
"index": 15443,
"question": "Suppose a collection of variables is related by the following definitions: a = 14; f = q + 19; u = a + 2; o = l + 1; e = u + 10; y = j + 2; q = y + 1; m = k + 3; d = m + 7; j = a + 16; k = i + 9; l = f + 10; i = e + 5. Given that a = 14, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"x": "m + 13", "q": "x + 20", "h": "q + 13", "c": "h + 7", "w": "c + 11", "v": "w + 19", "u": "m + 8", "j": "u + 17", "a": "j + 8", "n": "a + 10", "e": "n + 20", "i": "e + 4", "m": 11}, "premises": {"m": 11}, "target": "v"}, "answer": {"steps": [["w", "c + 11", "c + 30"], ["c", "h + 7", "h + 37"], ["h", "q + 13", "q + 50"], ["q", "x + 20", "x + 70"], ["x", "m + 13", "m + 83"], ["m", 11, "94"]], "target_var_name": "v", "target_value": 94, "value_dict": {"m": 11}, "is_reverse": true}} | 15,444 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = m + 8; j = u + 17; v = w + 19; q = x + 20; x = m + 13; a = j + 8; h = q + 13; n = a + 10; i = e + 4; e = n + 20; w = c + 11; m = 11; c = h + 7. If m = 11, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = c + 11 to v, which gives v = c + 30.\n2. Substitute c = h + 7 to v, which gives v = h + 37.\n3. Substitute h = q + 13 to v, which gives v = q + 50.\n4. Substitute q = x + 20 to v, which gives v = x + 70.\n5. Substitute x = m + 13 to v, which gives v = m + 83.\n6. Substitute m = 11 to v, which gives v = 94.\n\nThus, the final answer is v = \\boxed{94}.",
"index": 15444,
"question": "Consider a system of variables where each variable is defined as follows: u = m + 8; j = u + 17; v = w + 19; q = x + 20; x = m + 13; a = j + 8; h = q + 13; n = a + 10; i = e + 4; e = n + 20; w = c + 11; m = 11; c = h + 7. If m = 11, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"z": "x + 11", "n": "z + 9", "p": "n + 14", "k": "p + 14", "d": "k + 19", "o": "d + 18", "i": "x + 3", "w": "i + 13", "u": "w + 1", "c": "u + 13", "t": "c + 5", "m": "t + 20", "x": 6}, "premises": {"x": 6}, "target": "o"}, "answer": {"steps": [["d", "k + 19", "k + 37"], ["k", "p + 14", "p + 51"], ["p", "n + 14", "n + 65"], ["n", "z + 9", "z + 74"], ["z", "x + 11", "x + 85"], ["x", 6, "91"]], "target_var_name": "o", "target_value": 91, "value_dict": {"x": 6}, "is_reverse": true}} | 15,445 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = w + 1; k = p + 14; i = x + 3; m = t + 20; c = u + 13; p = n + 14; o = d + 18; w = i + 13; z = x + 11; n = z + 9; t = c + 5; x = 6; d = k + 19. If x = 6, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = k + 19 to o, which gives o = k + 37.\n2. Substitute k = p + 14 to o, which gives o = p + 51.\n3. Substitute p = n + 14 to o, which gives o = n + 65.\n4. Substitute n = z + 9 to o, which gives o = z + 74.\n5. Substitute z = x + 11 to o, which gives o = x + 85.\n6. Substitute x = 6 to o, which gives o = 91.\n\nThus, the final answer is o = \\boxed{91}.",
"index": 15445,
"question": "Consider a system of variables where each variable is defined as follows: u = w + 1; k = p + 14; i = x + 3; m = t + 20; c = u + 13; p = n + 14; o = d + 18; w = i + 13; z = x + 11; n = z + 9; t = c + 5; x = 6; d = k + 19. If x = 6, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"h": "v + 7", "x": "h + 13", "q": "x + 19", "d": "q + 15", "p": "d + 16", "b": "p + 16", "z": "v + 17", "w": "z + 17", "k": "w + 2", "o": "k + 18", "y": "o + 7", "i": "y + 10", "v": 12}, "premises": {"v": 12}, "target": "b"}, "answer": {"steps": [["p", "d + 16", "d + 32"], ["d", "q + 15", "q + 47"], ["q", "x + 19", "x + 66"], ["x", "h + 13", "h + 79"], ["h", "v + 7", "v + 86"], ["v", 12, "98"]], "target_var_name": "b", "target_value": 98, "value_dict": {"v": 12}, "is_reverse": true}} | 15,446 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = v + 7; i = y + 10; z = v + 17; o = k + 18; d = q + 15; q = x + 19; w = z + 17; y = o + 7; x = h + 13; v = 12; k = w + 2; b = p + 16; p = d + 16. If v = 12, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = d + 16 to b, which gives b = d + 32.\n2. Substitute d = q + 15 to b, which gives b = q + 47.\n3. Substitute q = x + 19 to b, which gives b = x + 66.\n4. Substitute x = h + 13 to b, which gives b = h + 79.\n5. Substitute h = v + 7 to b, which gives b = v + 86.\n6. Substitute v = 12 to b, which gives b = 98.\n\nThus, the final answer is b = \\boxed{98}.",
"index": 15446,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = v + 7; i = y + 10; z = v + 17; o = k + 18; d = q + 15; q = x + 19; w = z + 17; y = o + 7; x = h + 13; v = 12; k = w + 2; b = p + 16; p = d + 16. If v = 12, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"j": "e + 4", "a": "j + 13", "h": "a + 3", "u": "h + 2", "v": "u + 5", "p": "v + 6", "s": "e + 12", "k": "s + 18", "z": "k + 18", "b": "z + 11", "q": "b + 5", "n": "q + 10", "e": 4}, "premises": {"e": 4}, "target": "p"}, "answer": {"steps": [["v", "u + 5", "u + 11"], ["u", "h + 2", "h + 13"], ["h", "a + 3", "a + 16"], ["a", "j + 13", "j + 29"], ["j", "e + 4", "e + 33"], ["e", 4, "37"]], "target_var_name": "p", "target_value": 37, "value_dict": {"e": 4}, "is_reverse": true}} | 15,447 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = e + 12; k = s + 18; q = b + 5; h = a + 3; p = v + 6; n = q + 10; z = k + 18; e = 4; u = h + 2; v = u + 5; j = e + 4; a = j + 13; b = z + 11. Given that e = 4, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 37,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = u + 5 to p, which gives p = u + 11.\n2. Substitute u = h + 2 to p, which gives p = h + 13.\n3. Substitute h = a + 3 to p, which gives p = a + 16.\n4. Substitute a = j + 13 to p, which gives p = j + 29.\n5. Substitute j = e + 4 to p, which gives p = e + 33.\n6. Substitute e = 4 to p, which gives p = 37.\n\nThus, the final answer is p = \\boxed{37}.",
"index": 15447,
"question": "Suppose a collection of variables is related by the following definitions: s = e + 12; k = s + 18; q = b + 5; h = a + 3; p = v + 6; n = q + 10; z = k + 18; e = 4; u = h + 2; v = u + 5; j = e + 4; a = j + 13; b = z + 11. Given that e = 4, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"s": "n + 19", "z": "s + 1", "a": "z + 2", "p": "a + 2", "y": "p + 19", "l": "y + 19", "o": "n + 1", "q": "o + 19", "d": "q + 13", "r": "d + 15", "b": "r + 6", "w": "b + 15", "n": 8}, "premises": {"n": 8}, "target": "l"}, "answer": {"steps": [["y", "p + 19", "p + 38"], ["p", "a + 2", "a + 40"], ["a", "z + 2", "z + 42"], ["z", "s + 1", "s + 43"], ["s", "n + 19", "n + 62"], ["n", 8, "70"]], "target_var_name": "l", "target_value": 70, "value_dict": {"n": 8}, "is_reverse": true}} | 15,448 | 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 = q + 13; a = z + 2; p = a + 2; r = d + 15; w = b + 15; y = p + 19; q = o + 19; l = y + 19; o = n + 1; z = s + 1; s = n + 19; n = 8; b = r + 6. If n = 8, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = p + 19 to l, which gives l = p + 38.\n2. Substitute p = a + 2 to l, which gives l = a + 40.\n3. Substitute a = z + 2 to l, which gives l = z + 42.\n4. Substitute z = s + 1 to l, which gives l = s + 43.\n5. Substitute s = n + 19 to l, which gives l = n + 62.\n6. Substitute n = 8 to l, which gives l = 70.\n\nThus, the final answer is l = \\boxed{70}.",
"index": 15448,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = q + 13; a = z + 2; p = a + 2; r = d + 15; w = b + 15; y = p + 19; q = o + 19; l = y + 19; o = n + 1; z = s + 1; s = n + 19; n = 8; b = r + 6. If n = 8, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"f": "s + 16", "d": "f + 7", "h": "d + 18", "w": "h + 1", "c": "w + 2", "l": "c + 18", "q": "s + 14", "g": "q + 2", "m": "g + 18", "z": "m + 8", "x": "z + 8", "k": "x + 14", "s": 5}, "premises": {"s": 5}, "target": "l"}, "answer": {"steps": [["c", "w + 2", "w + 20"], ["w", "h + 1", "h + 21"], ["h", "d + 18", "d + 39"], ["d", "f + 7", "f + 46"], ["f", "s + 16", "s + 62"], ["s", 5, "67"]], "target_var_name": "l", "target_value": 67, "value_dict": {"s": 5}, "is_reverse": true}} | 15,449 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = d + 18; g = q + 2; x = z + 8; m = g + 18; w = h + 1; z = m + 8; d = f + 7; q = s + 14; f = s + 16; s = 5; l = c + 18; k = x + 14; c = w + 2. If s = 5, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = w + 2 to l, which gives l = w + 20.\n2. Substitute w = h + 1 to l, which gives l = h + 21.\n3. Substitute h = d + 18 to l, which gives l = d + 39.\n4. Substitute d = f + 7 to l, which gives l = f + 46.\n5. Substitute f = s + 16 to l, which gives l = s + 62.\n6. Substitute s = 5 to l, which gives l = 67.\n\nThus, the final answer is l = \\boxed{67}.",
"index": 15449,
"question": "Consider a system of variables where each variable is defined as follows: h = d + 18; g = q + 2; x = z + 8; m = g + 18; w = h + 1; z = m + 8; d = f + 7; q = s + 14; f = s + 16; s = 5; l = c + 18; k = x + 14; c = w + 2. If s = 5, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"z": "c + 14", "w": "z + 17", "o": "w + 1", "e": "o + 1", "s": "e + 7", "d": "s + 11", "l": "c + 15", "h": "l + 17", "q": "h + 5", "p": "q + 2", "r": "p + 20", "j": "r + 13", "c": 16}, "premises": {"c": 16}, "target": "d"}, "answer": {"steps": [["s", "e + 7", "e + 18"], ["e", "o + 1", "o + 19"], ["o", "w + 1", "w + 20"], ["w", "z + 17", "z + 37"], ["z", "c + 14", "c + 51"], ["c", 16, "67"]], "target_var_name": "d", "target_value": 67, "value_dict": {"c": 16}, "is_reverse": true}} | 15,450 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = r + 13; s = e + 7; w = z + 17; r = p + 20; e = o + 1; l = c + 15; o = w + 1; c = 16; d = s + 11; h = l + 17; p = q + 2; z = c + 14; q = h + 5. Given that c = 16, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = e + 7 to d, which gives d = e + 18.\n2. Substitute e = o + 1 to d, which gives d = o + 19.\n3. Substitute o = w + 1 to d, which gives d = w + 20.\n4. Substitute w = z + 17 to d, which gives d = z + 37.\n5. Substitute z = c + 14 to d, which gives d = c + 51.\n6. Substitute c = 16 to d, which gives d = 67.\n\nThus, the final answer is d = \\boxed{67}.",
"index": 15450,
"question": "Suppose a collection of variables is related by the following definitions: j = r + 13; s = e + 7; w = z + 17; r = p + 20; e = o + 1; l = c + 15; o = w + 1; c = 16; d = s + 11; h = l + 17; p = q + 2; z = c + 14; q = h + 5. Given that c = 16, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"l": "r + 11", "b": "l + 18", "z": "b + 15", "h": "z + 12", "i": "h + 4", "u": "i + 19", "y": "r + 12", "t": "y + 11", "p": "t + 9", "a": "p + 6", "d": "a + 2", "v": "d + 6", "r": 8}, "premises": {"r": 8}, "target": "u"}, "answer": {"steps": [["i", "h + 4", "h + 23"], ["h", "z + 12", "z + 35"], ["z", "b + 15", "b + 50"], ["b", "l + 18", "l + 68"], ["l", "r + 11", "r + 79"], ["r", 8, "87"]], "target_var_name": "u", "target_value": 87, "value_dict": {"r": 8}, "is_reverse": true}} | 15,451 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = a + 2; a = p + 6; b = l + 18; p = t + 9; i = h + 4; v = d + 6; y = r + 12; u = i + 19; z = b + 15; h = z + 12; l = r + 11; t = y + 11; r = 8. Given that r = 8, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = h + 4 to u, which gives u = h + 23.\n2. Substitute h = z + 12 to u, which gives u = z + 35.\n3. Substitute z = b + 15 to u, which gives u = b + 50.\n4. Substitute b = l + 18 to u, which gives u = l + 68.\n5. Substitute l = r + 11 to u, which gives u = r + 79.\n6. Substitute r = 8 to u, which gives u = 87.\n\nThus, the final answer is u = \\boxed{87}.",
"index": 15451,
"question": "Suppose a collection of variables is related by the following definitions: d = a + 2; a = p + 6; b = l + 18; p = t + 9; i = h + 4; v = d + 6; y = r + 12; u = i + 19; z = b + 15; h = z + 12; l = r + 11; t = y + 11; r = 8. Given that r = 8, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"u": "c + 6", "o": "u + 5", "f": "o + 4", "s": "f + 8", "r": "s + 14", "k": "r + 17", "y": "c + 5", "e": "y + 6", "v": "e + 19", "x": "v + 2", "w": "x + 15", "q": "w + 14", "c": 4}, "premises": {"c": 4}, "target": "k"}, "answer": {"steps": [["r", "s + 14", "s + 31"], ["s", "f + 8", "f + 39"], ["f", "o + 4", "o + 43"], ["o", "u + 5", "u + 48"], ["u", "c + 6", "c + 54"], ["c", 4, "58"]], "target_var_name": "k", "target_value": 58, "value_dict": {"c": 4}, "is_reverse": true}} | 15,452 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = 4; w = x + 15; r = s + 14; y = c + 5; u = c + 6; v = e + 19; k = r + 17; f = o + 4; q = w + 14; s = f + 8; o = u + 5; x = v + 2; e = y + 6. Given that c = 4, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = s + 14 to k, which gives k = s + 31.\n2. Substitute s = f + 8 to k, which gives k = f + 39.\n3. Substitute f = o + 4 to k, which gives k = o + 43.\n4. Substitute o = u + 5 to k, which gives k = u + 48.\n5. Substitute u = c + 6 to k, which gives k = c + 54.\n6. Substitute c = 4 to k, which gives k = 58.\n\nThus, the final answer is k = \\boxed{58}.",
"index": 15452,
"question": "Suppose a collection of variables is related by the following definitions: c = 4; w = x + 15; r = s + 14; y = c + 5; u = c + 6; v = e + 19; k = r + 17; f = o + 4; q = w + 14; s = f + 8; o = u + 5; x = v + 2; e = y + 6. Given that c = 4, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"r": "s + 9", "l": "r + 13", "w": "l + 6", "t": "w + 3", "p": "t + 7", "x": "p + 5", "b": "s + 9", "d": "b + 7", "n": "d + 12", "c": "n + 10", "q": "c + 11", "y": "q + 6", "s": 10}, "premises": {"s": 10}, "target": "x"}, "answer": {"steps": [["p", "t + 7", "t + 12"], ["t", "w + 3", "w + 15"], ["w", "l + 6", "l + 21"], ["l", "r + 13", "r + 34"], ["r", "s + 9", "s + 43"], ["s", 10, "53"]], "target_var_name": "x", "target_value": 53, "value_dict": {"s": 10}, "is_reverse": true}} | 15,453 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = p + 5; c = n + 10; p = t + 7; r = s + 9; d = b + 7; w = l + 6; y = q + 6; s = 10; l = r + 13; n = d + 12; q = c + 11; b = s + 9; t = w + 3. If s = 10, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = t + 7 to x, which gives x = t + 12.\n2. Substitute t = w + 3 to x, which gives x = w + 15.\n3. Substitute w = l + 6 to x, which gives x = l + 21.\n4. Substitute l = r + 13 to x, which gives x = r + 34.\n5. Substitute r = s + 9 to x, which gives x = s + 43.\n6. Substitute s = 10 to x, which gives x = 53.\n\nThus, the final answer is x = \\boxed{53}.",
"index": 15453,
"question": "Consider a system of variables where each variable is defined as follows: x = p + 5; c = n + 10; p = t + 7; r = s + 9; d = b + 7; w = l + 6; y = q + 6; s = 10; l = r + 13; n = d + 12; q = c + 11; b = s + 9; t = w + 3. If s = 10, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"c": "e + 14", "w": "c + 17", "v": "w + 17", "s": "v + 9", "i": "s + 8", "a": "i + 18", "n": "e + 11", "m": "n + 12", "d": "m + 17", "y": "d + 10", "k": "y + 14", "l": "k + 20", "e": 14}, "premises": {"e": 14}, "target": "a"}, "answer": {"steps": [["i", "s + 8", "s + 26"], ["s", "v + 9", "v + 35"], ["v", "w + 17", "w + 52"], ["w", "c + 17", "c + 69"], ["c", "e + 14", "e + 83"], ["e", 14, "97"]], "target_var_name": "a", "target_value": 97, "value_dict": {"e": 14}, "is_reverse": true}} | 15,454 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = m + 17; m = n + 12; c = e + 14; a = i + 18; s = v + 9; i = s + 8; y = d + 10; n = e + 11; e = 14; w = c + 17; k = y + 14; v = w + 17; l = k + 20. Given that e = 14, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = s + 8 to a, which gives a = s + 26.\n2. Substitute s = v + 9 to a, which gives a = v + 35.\n3. Substitute v = w + 17 to a, which gives a = w + 52.\n4. Substitute w = c + 17 to a, which gives a = c + 69.\n5. Substitute c = e + 14 to a, which gives a = e + 83.\n6. Substitute e = 14 to a, which gives a = 97.\n\nThus, the final answer is a = \\boxed{97}.",
"index": 15454,
"question": "Suppose a collection of variables is related by the following definitions: d = m + 17; m = n + 12; c = e + 14; a = i + 18; s = v + 9; i = s + 8; y = d + 10; n = e + 11; e = 14; w = c + 17; k = y + 14; v = w + 17; l = k + 20. Given that e = 14, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"x": "v + 1", "m": "x + 3", "q": "m + 11", "t": "q + 6", "d": "t + 14", "u": "d + 17", "c": "v + 6", "y": "c + 8", "a": "y + 16", "z": "a + 16", "r": "z + 15", "k": "r + 1", "v": 6}, "premises": {"v": 6}, "target": "u"}, "answer": {"steps": [["d", "t + 14", "t + 31"], ["t", "q + 6", "q + 37"], ["q", "m + 11", "m + 48"], ["m", "x + 3", "x + 51"], ["x", "v + 1", "v + 52"], ["v", 6, "58"]], "target_var_name": "u", "target_value": 58, "value_dict": {"v": 6}, "is_reverse": true}} | 15,455 | 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 = d + 17; d = t + 14; x = v + 1; q = m + 11; v = 6; y = c + 8; a = y + 16; z = a + 16; t = q + 6; k = r + 1; m = x + 3; c = v + 6; r = z + 15. If v = 6, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = t + 14 to u, which gives u = t + 31.\n2. Substitute t = q + 6 to u, which gives u = q + 37.\n3. Substitute q = m + 11 to u, which gives u = m + 48.\n4. Substitute m = x + 3 to u, which gives u = x + 51.\n5. Substitute x = v + 1 to u, which gives u = v + 52.\n6. Substitute v = 6 to u, which gives u = 58.\n\nThus, the final answer is u = \\boxed{58}.",
"index": 15455,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = d + 17; d = t + 14; x = v + 1; q = m + 11; v = 6; y = c + 8; a = y + 16; z = a + 16; t = q + 6; k = r + 1; m = x + 3; c = v + 6; r = z + 15. If v = 6, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"f": "c + 11", "t": "f + 5", "r": "t + 3", "y": "r + 5", "z": "y + 15", "h": "z + 8", "n": "c + 3", "o": "n + 12", "v": "o + 15", "w": "v + 11", "s": "w + 8", "p": "s + 12", "c": 8}, "premises": {"c": 8}, "target": "h"}, "answer": {"steps": [["z", "y + 15", "y + 23"], ["y", "r + 5", "r + 28"], ["r", "t + 3", "t + 31"], ["t", "f + 5", "f + 36"], ["f", "c + 11", "c + 47"], ["c", 8, "55"]], "target_var_name": "h", "target_value": 55, "value_dict": {"c": 8}, "is_reverse": true}} | 15,456 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = y + 15; w = v + 11; s = w + 8; f = c + 11; t = f + 5; y = r + 5; n = c + 3; p = s + 12; o = n + 12; r = t + 3; c = 8; v = o + 15; h = z + 8. If c = 8, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = y + 15 to h, which gives h = y + 23.\n2. Substitute y = r + 5 to h, which gives h = r + 28.\n3. Substitute r = t + 3 to h, which gives h = t + 31.\n4. Substitute t = f + 5 to h, which gives h = f + 36.\n5. Substitute f = c + 11 to h, which gives h = c + 47.\n6. Substitute c = 8 to h, which gives h = 55.\n\nThus, the final answer is h = \\boxed{55}.",
"index": 15456,
"question": "Consider a system of variables where each variable is defined as follows: z = y + 15; w = v + 11; s = w + 8; f = c + 11; t = f + 5; y = r + 5; n = c + 3; p = s + 12; o = n + 12; r = t + 3; c = 8; v = o + 15; h = z + 8. If c = 8, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"c": "b + 5", "s": "c + 15", "f": "s + 17", "z": "f + 9", "m": "z + 11", "l": "m + 2", "o": "b + 13", "w": "o + 5", "i": "w + 14", "e": "i + 12", "x": "e + 1", "v": "x + 20", "b": 2}, "premises": {"b": 2}, "target": "l"}, "answer": {"steps": [["m", "z + 11", "z + 13"], ["z", "f + 9", "f + 22"], ["f", "s + 17", "s + 39"], ["s", "c + 15", "c + 54"], ["c", "b + 5", "b + 59"], ["b", 2, "61"]], "target_var_name": "l", "target_value": 61, "value_dict": {"b": 2}, "is_reverse": true}} | 15,457 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = z + 11; z = f + 9; o = b + 13; s = c + 15; b = 2; v = x + 20; x = e + 1; c = b + 5; l = m + 2; w = o + 5; i = w + 14; e = i + 12; f = s + 17. If b = 2, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = z + 11 to l, which gives l = z + 13.\n2. Substitute z = f + 9 to l, which gives l = f + 22.\n3. Substitute f = s + 17 to l, which gives l = s + 39.\n4. Substitute s = c + 15 to l, which gives l = c + 54.\n5. Substitute c = b + 5 to l, which gives l = b + 59.\n6. Substitute b = 2 to l, which gives l = 61.\n\nThus, the final answer is l = \\boxed{61}.",
"index": 15457,
"question": "Consider a system of variables where each variable is defined as follows: m = z + 11; z = f + 9; o = b + 13; s = c + 15; b = 2; v = x + 20; x = e + 1; c = b + 5; l = m + 2; w = o + 5; i = w + 14; e = i + 12; f = s + 17. If b = 2, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"g": "e + 9", "s": "g + 3", "x": "s + 4", "y": "x + 14", "p": "y + 11", "j": "p + 2", "b": "e + 16", "o": "b + 12", "l": "o + 11", "c": "l + 15", "v": "c + 6", "t": "v + 13", "e": 6}, "premises": {"e": 6}, "target": "j"}, "answer": {"steps": [["p", "y + 11", "y + 13"], ["y", "x + 14", "x + 27"], ["x", "s + 4", "s + 31"], ["s", "g + 3", "g + 34"], ["g", "e + 9", "e + 43"], ["e", 6, "49"]], "target_var_name": "j", "target_value": 49, "value_dict": {"e": 6}, "is_reverse": true}} | 15,458 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = l + 15; o = b + 12; e = 6; g = e + 9; j = p + 2; v = c + 6; x = s + 4; p = y + 11; t = v + 13; l = o + 11; s = g + 3; y = x + 14; b = e + 16. If e = 6, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = y + 11 to j, which gives j = y + 13.\n2. Substitute y = x + 14 to j, which gives j = x + 27.\n3. Substitute x = s + 4 to j, which gives j = s + 31.\n4. Substitute s = g + 3 to j, which gives j = g + 34.\n5. Substitute g = e + 9 to j, which gives j = e + 43.\n6. Substitute e = 6 to j, which gives j = 49.\n\nThus, the final answer is j = \\boxed{49}.",
"index": 15458,
"question": "Consider a system of variables where each variable is defined as follows: c = l + 15; o = b + 12; e = 6; g = e + 9; j = p + 2; v = c + 6; x = s + 4; p = y + 11; t = v + 13; l = o + 11; s = g + 3; y = x + 14; b = e + 16. If e = 6, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"a": "z + 4", "g": "a + 9", "l": "g + 14", "e": "l + 2", "f": "e + 9", "t": "f + 15", "w": "z + 11", "p": "w + 9", "j": "p + 7", "x": "j + 8", "q": "x + 13", "r": "q + 5", "z": 20}, "premises": {"z": 20}, "target": "t"}, "answer": {"steps": [["f", "e + 9", "e + 24"], ["e", "l + 2", "l + 26"], ["l", "g + 14", "g + 40"], ["g", "a + 9", "a + 49"], ["a", "z + 4", "z + 53"], ["z", 20, "73"]], "target_var_name": "t", "target_value": 73, "value_dict": {"z": 20}, "is_reverse": true}} | 15,459 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = z + 11; g = a + 9; l = g + 14; q = x + 13; x = j + 8; t = f + 15; p = w + 9; r = q + 5; e = l + 2; a = z + 4; f = e + 9; z = 20; j = p + 7. If z = 20, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = e + 9 to t, which gives t = e + 24.\n2. Substitute e = l + 2 to t, which gives t = l + 26.\n3. Substitute l = g + 14 to t, which gives t = g + 40.\n4. Substitute g = a + 9 to t, which gives t = a + 49.\n5. Substitute a = z + 4 to t, which gives t = z + 53.\n6. Substitute z = 20 to t, which gives t = 73.\n\nThus, the final answer is t = \\boxed{73}.",
"index": 15459,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = z + 11; g = a + 9; l = g + 14; q = x + 13; x = j + 8; t = f + 15; p = w + 9; r = q + 5; e = l + 2; a = z + 4; f = e + 9; z = 20; j = p + 7. If z = 20, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"d": "g + 20", "c": "d + 18", "h": "c + 2", "w": "h + 20", "k": "w + 17", "l": "k + 16", "a": "g + 5", "n": "a + 4", "z": "n + 8", "m": "z + 15", "s": "m + 17", "j": "s + 11", "g": 1}, "premises": {"g": 1}, "target": "l"}, "answer": {"steps": [["k", "w + 17", "w + 33"], ["w", "h + 20", "h + 53"], ["h", "c + 2", "c + 55"], ["c", "d + 18", "d + 73"], ["d", "g + 20", "g + 93"], ["g", 1, "94"]], "target_var_name": "l", "target_value": 94, "value_dict": {"g": 1}, "is_reverse": true}} | 15,460 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = n + 8; l = k + 16; d = g + 20; n = a + 4; h = c + 2; c = d + 18; m = z + 15; s = m + 17; k = w + 17; w = h + 20; j = s + 11; g = 1; a = g + 5. Given that g = 1, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = w + 17 to l, which gives l = w + 33.\n2. Substitute w = h + 20 to l, which gives l = h + 53.\n3. Substitute h = c + 2 to l, which gives l = c + 55.\n4. Substitute c = d + 18 to l, which gives l = d + 73.\n5. Substitute d = g + 20 to l, which gives l = g + 93.\n6. Substitute g = 1 to l, which gives l = 94.\n\nThus, the final answer is l = \\boxed{94}.",
"index": 15460,
"question": "Suppose a collection of variables is related by the following definitions: z = n + 8; l = k + 16; d = g + 20; n = a + 4; h = c + 2; c = d + 18; m = z + 15; s = m + 17; k = w + 17; w = h + 20; j = s + 11; g = 1; a = g + 5. Given that g = 1, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"p": "d + 4", "j": "p + 7", "y": "j + 13", "i": "y + 9", "m": "i + 10", "f": "m + 12", "u": "d + 2", "s": "u + 2", "b": "s + 2", "l": "b + 16", "k": "l + 1", "t": "k + 16", "d": 1}, "premises": {"d": 1}, "target": "f"}, "answer": {"steps": [["m", "i + 10", "i + 22"], ["i", "y + 9", "y + 31"], ["y", "j + 13", "j + 44"], ["j", "p + 7", "p + 51"], ["p", "d + 4", "d + 55"], ["d", 1, "56"]], "target_var_name": "f", "target_value": 56, "value_dict": {"d": 1}, "is_reverse": true}} | 15,461 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = 1; t = k + 16; f = m + 12; i = y + 9; m = i + 10; l = b + 16; s = u + 2; k = l + 1; b = s + 2; j = p + 7; p = d + 4; y = j + 13; u = d + 2. Given that d = 1, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = i + 10 to f, which gives f = i + 22.\n2. Substitute i = y + 9 to f, which gives f = y + 31.\n3. Substitute y = j + 13 to f, which gives f = j + 44.\n4. Substitute j = p + 7 to f, which gives f = p + 51.\n5. Substitute p = d + 4 to f, which gives f = d + 55.\n6. Substitute d = 1 to f, which gives f = 56.\n\nThus, the final answer is f = \\boxed{56}.",
"index": 15461,
"question": "Suppose a collection of variables is related by the following definitions: d = 1; t = k + 16; f = m + 12; i = y + 9; m = i + 10; l = b + 16; s = u + 2; k = l + 1; b = s + 2; j = p + 7; p = d + 4; y = j + 13; u = d + 2. Given that d = 1, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"e": "g + 18", "t": "e + 11", "p": "t + 15", "j": "p + 15", "m": "j + 2", "v": "m + 19", "x": "g + 1", "q": "x + 19", "d": "q + 17", "b": "d + 4", "c": "b + 8", "o": "c + 15", "g": 18}, "premises": {"g": 18}, "target": "v"}, "answer": {"steps": [["m", "j + 2", "j + 21"], ["j", "p + 15", "p + 36"], ["p", "t + 15", "t + 51"], ["t", "e + 11", "e + 62"], ["e", "g + 18", "g + 80"], ["g", 18, "98"]], "target_var_name": "v", "target_value": 98, "value_dict": {"g": 18}, "is_reverse": true}} | 15,462 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = t + 15; o = c + 15; x = g + 1; b = d + 4; q = x + 19; g = 18; m = j + 2; c = b + 8; e = g + 18; d = q + 17; j = p + 15; t = e + 11; v = m + 19. If g = 18, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = j + 2 to v, which gives v = j + 21.\n2. Substitute j = p + 15 to v, which gives v = p + 36.\n3. Substitute p = t + 15 to v, which gives v = t + 51.\n4. Substitute t = e + 11 to v, which gives v = e + 62.\n5. Substitute e = g + 18 to v, which gives v = g + 80.\n6. Substitute g = 18 to v, which gives v = 98.\n\nThus, the final answer is v = \\boxed{98}.",
"index": 15462,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = t + 15; o = c + 15; x = g + 1; b = d + 4; q = x + 19; g = 18; m = j + 2; c = b + 8; e = g + 18; d = q + 17; j = p + 15; t = e + 11; v = m + 19. If g = 18, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"g": "h + 18", "a": "g + 8", "w": "a + 8", "x": "w + 14", "k": "x + 9", "r": "k + 3", "n": "h + 13", "u": "n + 16", "o": "u + 17", "l": "o + 15", "t": "l + 9", "e": "t + 10", "h": 3}, "premises": {"h": 3}, "target": "r"}, "answer": {"steps": [["k", "x + 9", "x + 12"], ["x", "w + 14", "w + 26"], ["w", "a + 8", "a + 34"], ["a", "g + 8", "g + 42"], ["g", "h + 18", "h + 60"], ["h", 3, "63"]], "target_var_name": "r", "target_value": 63, "value_dict": {"h": 3}, "is_reverse": true}} | 15,463 | 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 = a + 8; r = k + 3; e = t + 10; l = o + 15; t = l + 9; u = n + 16; x = w + 14; k = x + 9; a = g + 8; o = u + 17; g = h + 18; n = h + 13; h = 3. If h = 3, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = x + 9 to r, which gives r = x + 12.\n2. Substitute x = w + 14 to r, which gives r = w + 26.\n3. Substitute w = a + 8 to r, which gives r = a + 34.\n4. Substitute a = g + 8 to r, which gives r = g + 42.\n5. Substitute g = h + 18 to r, which gives r = h + 60.\n6. Substitute h = 3 to r, which gives r = 63.\n\nThus, the final answer is r = \\boxed{63}.",
"index": 15463,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = a + 8; r = k + 3; e = t + 10; l = o + 15; t = l + 9; u = n + 16; x = w + 14; k = x + 9; a = g + 8; o = u + 17; g = h + 18; n = h + 13; h = 3. If h = 3, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"r": "b + 7", "e": "r + 6", "t": "e + 19", "j": "t + 6", "c": "j + 20", "g": "c + 5", "p": "b + 4", "q": "p + 1", "o": "q + 13", "z": "o + 4", "k": "z + 9", "h": "k + 6", "b": 17}, "premises": {"b": 17}, "target": "g"}, "answer": {"steps": [["c", "j + 20", "j + 25"], ["j", "t + 6", "t + 31"], ["t", "e + 19", "e + 50"], ["e", "r + 6", "r + 56"], ["r", "b + 7", "b + 63"], ["b", 17, "80"]], "target_var_name": "g", "target_value": 80, "value_dict": {"b": 17}, "is_reverse": true}} | 15,464 | 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 = e + 19; o = q + 13; k = z + 9; b = 17; g = c + 5; h = k + 6; r = b + 7; j = t + 6; e = r + 6; q = p + 1; p = b + 4; z = o + 4; c = j + 20. If b = 17, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = j + 20 to g, which gives g = j + 25.\n2. Substitute j = t + 6 to g, which gives g = t + 31.\n3. Substitute t = e + 19 to g, which gives g = e + 50.\n4. Substitute e = r + 6 to g, which gives g = r + 56.\n5. Substitute r = b + 7 to g, which gives g = b + 63.\n6. Substitute b = 17 to g, which gives g = 80.\n\nThus, the final answer is g = \\boxed{80}.",
"index": 15464,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = e + 19; o = q + 13; k = z + 9; b = 17; g = c + 5; h = k + 6; r = b + 7; j = t + 6; e = r + 6; q = p + 1; p = b + 4; z = o + 4; c = j + 20. If b = 17, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"q": "l + 7", "z": "q + 16", "r": "z + 10", "a": "r + 2", "c": "a + 14", "o": "c + 3", "f": "l + 11", "d": "f + 13", "m": "d + 8", "w": "m + 7", "s": "w + 5", "b": "s + 17", "l": 6}, "premises": {"l": 6}, "target": "o"}, "answer": {"steps": [["c", "a + 14", "a + 17"], ["a", "r + 2", "r + 19"], ["r", "z + 10", "z + 29"], ["z", "q + 16", "q + 45"], ["q", "l + 7", "l + 52"], ["l", 6, "58"]], "target_var_name": "o", "target_value": 58, "value_dict": {"l": 6}, "is_reverse": true}} | 15,465 | 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 + 10; b = s + 17; s = w + 5; a = r + 2; z = q + 16; q = l + 7; o = c + 3; c = a + 14; d = f + 13; w = m + 7; l = 6; m = d + 8; f = l + 11. If l = 6, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = a + 14 to o, which gives o = a + 17.\n2. Substitute a = r + 2 to o, which gives o = r + 19.\n3. Substitute r = z + 10 to o, which gives o = z + 29.\n4. Substitute z = q + 16 to o, which gives o = q + 45.\n5. Substitute q = l + 7 to o, which gives o = l + 52.\n6. Substitute l = 6 to o, which gives o = 58.\n\nThus, the final answer is o = \\boxed{58}.",
"index": 15465,
"question": "Consider a system of variables where each variable is defined as follows: r = z + 10; b = s + 17; s = w + 5; a = r + 2; z = q + 16; q = l + 7; o = c + 3; c = a + 14; d = f + 13; w = m + 7; l = 6; m = d + 8; f = l + 11. If l = 6, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"g": "b + 18", "e": "g + 11", "u": "e + 5", "v": "u + 20", "w": "v + 16", "z": "w + 6", "r": "b + 17", "s": "r + 13", "q": "s + 3", "i": "q + 11", "x": "i + 16", "m": "x + 13", "b": 1}, "premises": {"b": 1}, "target": "z"}, "answer": {"steps": [["w", "v + 16", "v + 22"], ["v", "u + 20", "u + 42"], ["u", "e + 5", "e + 47"], ["e", "g + 11", "g + 58"], ["g", "b + 18", "b + 76"], ["b", 1, "77"]], "target_var_name": "z", "target_value": 77, "value_dict": {"b": 1}, "is_reverse": true}} | 15,466 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = u + 20; g = b + 18; z = w + 6; q = s + 3; u = e + 5; r = b + 17; b = 1; e = g + 11; w = v + 16; s = r + 13; x = i + 16; i = q + 11; m = x + 13. If b = 1, determine the 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 w = v + 16 to z, which gives z = v + 22.\n2. Substitute v = u + 20 to z, which gives z = u + 42.\n3. Substitute u = e + 5 to z, which gives z = e + 47.\n4. Substitute e = g + 11 to z, which gives z = g + 58.\n5. Substitute g = b + 18 to z, which gives z = b + 76.\n6. Substitute b = 1 to z, which gives z = 77.\n\nThus, the final answer is z = \\boxed{77}.",
"index": 15466,
"question": "Consider a system of variables where each variable is defined as follows: v = u + 20; g = b + 18; z = w + 6; q = s + 3; u = e + 5; r = b + 17; b = 1; e = g + 11; w = v + 16; s = r + 13; x = i + 16; i = q + 11; m = x + 13. If b = 1, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"p": "e + 19", "c": "p + 2", "m": "c + 12", "a": "m + 4", "n": "a + 12", "d": "n + 7", "h": "e + 19", "l": "h + 11", "o": "l + 15", "r": "o + 2", "x": "r + 18", "s": "x + 16", "e": 18}, "premises": {"e": 18}, "target": "d"}, "answer": {"steps": [["n", "a + 12", "a + 19"], ["a", "m + 4", "m + 23"], ["m", "c + 12", "c + 35"], ["c", "p + 2", "p + 37"], ["p", "e + 19", "e + 56"], ["e", 18, "74"]], "target_var_name": "d", "target_value": 74, "value_dict": {"e": 18}, "is_reverse": true}} | 15,467 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = a + 12; d = n + 7; a = m + 4; s = x + 16; p = e + 19; h = e + 19; x = r + 18; r = o + 2; c = p + 2; e = 18; m = c + 12; o = l + 15; l = h + 11. If e = 18, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = a + 12 to d, which gives d = a + 19.\n2. Substitute a = m + 4 to d, which gives d = m + 23.\n3. Substitute m = c + 12 to d, which gives d = c + 35.\n4. Substitute c = p + 2 to d, which gives d = p + 37.\n5. Substitute p = e + 19 to d, which gives d = e + 56.\n6. Substitute e = 18 to d, which gives d = 74.\n\nThus, the final answer is d = \\boxed{74}.",
"index": 15467,
"question": "Consider a system of variables where each variable is defined as follows: n = a + 12; d = n + 7; a = m + 4; s = x + 16; p = e + 19; h = e + 19; x = r + 18; r = o + 2; c = p + 2; e = 18; m = c + 12; o = l + 15; l = h + 11. If e = 18, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"t": "g + 9", "k": "t + 15", "r": "k + 4", "u": "r + 11", "e": "u + 11", "v": "e + 2", "d": "g + 18", "m": "d + 10", "s": "m + 18", "o": "s + 17", "q": "o + 19", "b": "q + 3", "g": 7}, "premises": {"g": 7}, "target": "v"}, "answer": {"steps": [["e", "u + 11", "u + 13"], ["u", "r + 11", "r + 24"], ["r", "k + 4", "k + 28"], ["k", "t + 15", "t + 43"], ["t", "g + 9", "g + 52"], ["g", 7, "59"]], "target_var_name": "v", "target_value": 59, "value_dict": {"g": 7}, "is_reverse": true}} | 15,468 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = q + 3; u = r + 11; g = 7; o = s + 17; e = u + 11; q = o + 19; t = g + 9; v = e + 2; r = k + 4; d = g + 18; m = d + 10; s = m + 18; k = t + 15. Given that g = 7, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = u + 11 to v, which gives v = u + 13.\n2. Substitute u = r + 11 to v, which gives v = r + 24.\n3. Substitute r = k + 4 to v, which gives v = k + 28.\n4. Substitute k = t + 15 to v, which gives v = t + 43.\n5. Substitute t = g + 9 to v, which gives v = g + 52.\n6. Substitute g = 7 to v, which gives v = 59.\n\nThus, the final answer is v = \\boxed{59}.",
"index": 15468,
"question": "Suppose a collection of variables is related by the following definitions: b = q + 3; u = r + 11; g = 7; o = s + 17; e = u + 11; q = o + 19; t = g + 9; v = e + 2; r = k + 4; d = g + 18; m = d + 10; s = m + 18; k = t + 15. Given that g = 7, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"r": "z + 20", "n": "r + 6", "q": "n + 6", "v": "q + 3", "x": "v + 16", "u": "x + 12", "f": "z + 17", "s": "f + 15", "j": "s + 10", "t": "j + 11", "h": "t + 12", "l": "h + 1", "z": 17}, "premises": {"z": 17}, "target": "u"}, "answer": {"steps": [["x", "v + 16", "v + 28"], ["v", "q + 3", "q + 31"], ["q", "n + 6", "n + 37"], ["n", "r + 6", "r + 43"], ["r", "z + 20", "z + 63"], ["z", 17, "80"]], "target_var_name": "u", "target_value": 80, "value_dict": {"z": 17}, "is_reverse": true}} | 15,469 | 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 = j + 11; n = r + 6; f = z + 17; v = q + 3; r = z + 20; h = t + 12; s = f + 15; u = x + 12; q = n + 6; l = h + 1; x = v + 16; j = s + 10; z = 17. If z = 17, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = v + 16 to u, which gives u = v + 28.\n2. Substitute v = q + 3 to u, which gives u = q + 31.\n3. Substitute q = n + 6 to u, which gives u = n + 37.\n4. Substitute n = r + 6 to u, which gives u = r + 43.\n5. Substitute r = z + 20 to u, which gives u = z + 63.\n6. Substitute z = 17 to u, which gives u = 80.\n\nThus, the final answer is u = \\boxed{80}.",
"index": 15469,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = j + 11; n = r + 6; f = z + 17; v = q + 3; r = z + 20; h = t + 12; s = f + 15; u = x + 12; q = n + 6; l = h + 1; x = v + 16; j = s + 10; z = 17. If z = 17, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"r": "t + 2", "s": "r + 9", "y": "s + 14", "m": "y + 4", "g": "m + 8", "u": "g + 16", "p": "t + 20", "l": "p + 17", "b": "l + 12", "k": "b + 18", "f": "k + 15", "v": "f + 5", "t": 9}, "premises": {"t": 9}, "target": "u"}, "answer": {"steps": [["g", "m + 8", "m + 24"], ["m", "y + 4", "y + 28"], ["y", "s + 14", "s + 42"], ["s", "r + 9", "r + 51"], ["r", "t + 2", "t + 53"], ["t", 9, "62"]], "target_var_name": "u", "target_value": 62, "value_dict": {"t": 9}, "is_reverse": true}} | 15,470 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = y + 4; k = b + 18; r = t + 2; g = m + 8; u = g + 16; t = 9; y = s + 14; p = t + 20; v = f + 5; s = r + 9; b = l + 12; f = k + 15; l = p + 17. If t = 9, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = m + 8 to u, which gives u = m + 24.\n2. Substitute m = y + 4 to u, which gives u = y + 28.\n3. Substitute y = s + 14 to u, which gives u = s + 42.\n4. Substitute s = r + 9 to u, which gives u = r + 51.\n5. Substitute r = t + 2 to u, which gives u = t + 53.\n6. Substitute t = 9 to u, which gives u = 62.\n\nThus, the final answer is u = \\boxed{62}.",
"index": 15470,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = y + 4; k = b + 18; r = t + 2; g = m + 8; u = g + 16; t = 9; y = s + 14; p = t + 20; v = f + 5; s = r + 9; b = l + 12; f = k + 15; l = p + 17. If t = 9, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"p": "v + 15", "n": "p + 14", "u": "n + 15", "a": "u + 17", "c": "a + 16", "z": "c + 9", "w": "v + 3", "s": "w + 12", "l": "s + 16", "h": "l + 10", "y": "h + 12", "j": "y + 2", "v": 20}, "premises": {"v": 20}, "target": "z"}, "answer": {"steps": [["c", "a + 16", "a + 25"], ["a", "u + 17", "u + 42"], ["u", "n + 15", "n + 57"], ["n", "p + 14", "p + 71"], ["p", "v + 15", "v + 86"], ["v", 20, "106"]], "target_var_name": "z", "target_value": 106, "value_dict": {"v": 20}, "is_reverse": true}} | 15,471 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = n + 15; p = v + 15; l = s + 16; s = w + 12; z = c + 9; a = u + 17; h = l + 10; v = 20; w = v + 3; c = a + 16; y = h + 12; n = p + 14; j = y + 2. If v = 20, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 106,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = a + 16 to z, which gives z = a + 25.\n2. Substitute a = u + 17 to z, which gives z = u + 42.\n3. Substitute u = n + 15 to z, which gives z = n + 57.\n4. Substitute n = p + 14 to z, which gives z = p + 71.\n5. Substitute p = v + 15 to z, which gives z = v + 86.\n6. Substitute v = 20 to z, which gives z = 106.\n\nThus, the final answer is z = \\boxed{106}.",
"index": 15471,
"question": "Consider a system of variables where each variable is defined as follows: u = n + 15; p = v + 15; l = s + 16; s = w + 12; z = c + 9; a = u + 17; h = l + 10; v = 20; w = v + 3; c = a + 16; y = h + 12; n = p + 14; j = y + 2. If v = 20, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"l": "u + 4", "o": "l + 16", "a": "o + 3", "f": "a + 11", "e": "f + 16", "q": "e + 14", "h": "u + 20", "c": "h + 9", "p": "c + 7", "y": "p + 16", "b": "y + 9", "v": "b + 14", "u": 5}, "premises": {"u": 5}, "target": "q"}, "answer": {"steps": [["e", "f + 16", "f + 30"], ["f", "a + 11", "a + 41"], ["a", "o + 3", "o + 44"], ["o", "l + 16", "l + 60"], ["l", "u + 4", "u + 64"], ["u", 5, "69"]], "target_var_name": "q", "target_value": 69, "value_dict": {"u": 5}, "is_reverse": true}} | 15,472 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = o + 3; v = b + 14; q = e + 14; f = a + 11; e = f + 16; h = u + 20; c = h + 9; p = c + 7; b = y + 9; u = 5; l = u + 4; y = p + 16; o = l + 16. If u = 5, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = f + 16 to q, which gives q = f + 30.\n2. Substitute f = a + 11 to q, which gives q = a + 41.\n3. Substitute a = o + 3 to q, which gives q = o + 44.\n4. Substitute o = l + 16 to q, which gives q = l + 60.\n5. Substitute l = u + 4 to q, which gives q = u + 64.\n6. Substitute u = 5 to q, which gives q = 69.\n\nThus, the final answer is q = \\boxed{69}.",
"index": 15472,
"question": "Consider a system of variables where each variable is defined as follows: a = o + 3; v = b + 14; q = e + 14; f = a + 11; e = f + 16; h = u + 20; c = h + 9; p = c + 7; b = y + 9; u = 5; l = u + 4; y = p + 16; o = l + 16. If u = 5, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"h": "u + 14", "n": "h + 6", "k": "n + 1", "s": "k + 5", "b": "s + 14", "w": "b + 5", "c": "u + 10", "m": "c + 2", "l": "m + 9", "v": "l + 11", "a": "v + 7", "r": "a + 13", "u": 3}, "premises": {"u": 3}, "target": "w"}, "answer": {"steps": [["b", "s + 14", "s + 19"], ["s", "k + 5", "k + 24"], ["k", "n + 1", "n + 25"], ["n", "h + 6", "h + 31"], ["h", "u + 14", "u + 45"], ["u", 3, "48"]], "target_var_name": "w", "target_value": 48, "value_dict": {"u": 3}, "is_reverse": true}} | 15,473 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = v + 7; c = u + 10; k = n + 1; s = k + 5; m = c + 2; u = 3; n = h + 6; r = a + 13; v = l + 11; h = u + 14; b = s + 14; l = m + 9; w = b + 5. If u = 3, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = s + 14 to w, which gives w = s + 19.\n2. Substitute s = k + 5 to w, which gives w = k + 24.\n3. Substitute k = n + 1 to w, which gives w = n + 25.\n4. Substitute n = h + 6 to w, which gives w = h + 31.\n5. Substitute h = u + 14 to w, which gives w = u + 45.\n6. Substitute u = 3 to w, which gives w = 48.\n\nThus, the final answer is w = \\boxed{48}.",
"index": 15473,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = v + 7; c = u + 10; k = n + 1; s = k + 5; m = c + 2; u = 3; n = h + 6; r = a + 13; v = l + 11; h = u + 14; b = s + 14; l = m + 9; w = b + 5. If u = 3, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"r": "w + 6", "o": "r + 19", "j": "o + 10", "n": "j + 4", "g": "n + 19", "a": "g + 11", "d": "w + 20", "k": "d + 10", "i": "k + 17", "v": "i + 14", "c": "v + 12", "q": "c + 6", "w": 10}, "premises": {"w": 10}, "target": "a"}, "answer": {"steps": [["g", "n + 19", "n + 30"], ["n", "j + 4", "j + 34"], ["j", "o + 10", "o + 44"], ["o", "r + 19", "r + 63"], ["r", "w + 6", "w + 69"], ["w", 10, "79"]], "target_var_name": "a", "target_value": 79, "value_dict": {"w": 10}, "is_reverse": true}} | 15,474 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = w + 20; v = i + 14; c = v + 12; j = o + 10; w = 10; q = c + 6; n = j + 4; o = r + 19; i = k + 17; a = g + 11; k = d + 10; r = w + 6; g = n + 19. If w = 10, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = n + 19 to a, which gives a = n + 30.\n2. Substitute n = j + 4 to a, which gives a = j + 34.\n3. Substitute j = o + 10 to a, which gives a = o + 44.\n4. Substitute o = r + 19 to a, which gives a = r + 63.\n5. Substitute r = w + 6 to a, which gives a = w + 69.\n6. Substitute w = 10 to a, which gives a = 79.\n\nThus, the final answer is a = \\boxed{79}.",
"index": 15474,
"question": "Consider a system of variables where each variable is defined as follows: d = w + 20; v = i + 14; c = v + 12; j = o + 10; w = 10; q = c + 6; n = j + 4; o = r + 19; i = k + 17; a = g + 11; k = d + 10; r = w + 6; g = n + 19. If w = 10, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"f": "v + 7", "m": "f + 2", "u": "m + 1", "y": "u + 6", "g": "y + 13", "r": "g + 20", "b": "v + 14", "n": "b + 15", "w": "n + 18", "s": "w + 5", "d": "s + 14", "x": "d + 18", "v": 1}, "premises": {"v": 1}, "target": "r"}, "answer": {"steps": [["g", "y + 13", "y + 33"], ["y", "u + 6", "u + 39"], ["u", "m + 1", "m + 40"], ["m", "f + 2", "f + 42"], ["f", "v + 7", "v + 49"], ["v", 1, "50"]], "target_var_name": "r", "target_value": 50, "value_dict": {"v": 1}, "is_reverse": true}} | 15,475 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = b + 15; u = m + 1; s = w + 5; f = v + 7; d = s + 14; b = v + 14; v = 1; y = u + 6; m = f + 2; g = y + 13; x = d + 18; r = g + 20; w = n + 18. If v = 1, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = y + 13 to r, which gives r = y + 33.\n2. Substitute y = u + 6 to r, which gives r = u + 39.\n3. Substitute u = m + 1 to r, which gives r = m + 40.\n4. Substitute m = f + 2 to r, which gives r = f + 42.\n5. Substitute f = v + 7 to r, which gives r = v + 49.\n6. Substitute v = 1 to r, which gives r = 50.\n\nThus, the final answer is r = \\boxed{50}.",
"index": 15475,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = b + 15; u = m + 1; s = w + 5; f = v + 7; d = s + 14; b = v + 14; v = 1; y = u + 6; m = f + 2; g = y + 13; x = d + 18; r = g + 20; w = n + 18. If v = 1, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"b": "v + 17", "q": "b + 7", "m": "q + 19", "u": "m + 11", "g": "u + 6", "a": "g + 17", "r": "v + 6", "z": "r + 3", "f": "z + 11", "d": "f + 9", "k": "d + 4", "w": "k + 11", "v": 5}, "premises": {"v": 5}, "target": "a"}, "answer": {"steps": [["g", "u + 6", "u + 23"], ["u", "m + 11", "m + 34"], ["m", "q + 19", "q + 53"], ["q", "b + 7", "b + 60"], ["b", "v + 17", "v + 77"], ["v", 5, "82"]], "target_var_name": "a", "target_value": 82, "value_dict": {"v": 5}, "is_reverse": true}} | 15,476 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = g + 17; v = 5; u = m + 11; z = r + 3; q = b + 7; d = f + 9; b = v + 17; k = d + 4; w = k + 11; r = v + 6; g = u + 6; f = z + 11; m = q + 19. Given that v = 5, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = u + 6 to a, which gives a = u + 23.\n2. Substitute u = m + 11 to a, which gives a = m + 34.\n3. Substitute m = q + 19 to a, which gives a = q + 53.\n4. Substitute q = b + 7 to a, which gives a = b + 60.\n5. Substitute b = v + 17 to a, which gives a = v + 77.\n6. Substitute v = 5 to a, which gives a = 82.\n\nThus, the final answer is a = \\boxed{82}.",
"index": 15476,
"question": "Suppose a collection of variables is related by the following definitions: a = g + 17; v = 5; u = m + 11; z = r + 3; q = b + 7; d = f + 9; b = v + 17; k = d + 4; w = k + 11; r = v + 6; g = u + 6; f = z + 11; m = q + 19. Given that v = 5, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"h": "l + 18", "s": "h + 4", "k": "s + 15", "y": "k + 3", "d": "y + 19", "a": "d + 5", "z": "l + 18", "u": "z + 16", "e": "u + 5", "t": "e + 17", "j": "t + 14", "x": "j + 1", "l": 12}, "premises": {"l": 12}, "target": "a"}, "answer": {"steps": [["d", "y + 19", "y + 24"], ["y", "k + 3", "k + 27"], ["k", "s + 15", "s + 42"], ["s", "h + 4", "h + 46"], ["h", "l + 18", "l + 64"], ["l", 12, "76"]], "target_var_name": "a", "target_value": 76, "value_dict": {"l": 12}, "is_reverse": true}} | 15,477 | 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 = j + 1; d = y + 19; u = z + 16; e = u + 5; t = e + 17; h = l + 18; j = t + 14; k = s + 15; l = 12; s = h + 4; y = k + 3; a = d + 5; z = l + 18. If l = 12, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = y + 19 to a, which gives a = y + 24.\n2. Substitute y = k + 3 to a, which gives a = k + 27.\n3. Substitute k = s + 15 to a, which gives a = s + 42.\n4. Substitute s = h + 4 to a, which gives a = h + 46.\n5. Substitute h = l + 18 to a, which gives a = l + 64.\n6. Substitute l = 12 to a, which gives a = 76.\n\nThus, the final answer is a = \\boxed{76}.",
"index": 15477,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = j + 1; d = y + 19; u = z + 16; e = u + 5; t = e + 17; h = l + 18; j = t + 14; k = s + 15; l = 12; s = h + 4; y = k + 3; a = d + 5; z = l + 18. If l = 12, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"p": "x + 4", "r": "p + 18", "s": "r + 6", "u": "s + 6", "f": "u + 6", "q": "f + 20", "z": "x + 5", "j": "z + 16", "o": "j + 1", "c": "o + 18", "e": "c + 8", "b": "e + 11", "x": 4}, "premises": {"x": 4}, "target": "q"}, "answer": {"steps": [["f", "u + 6", "u + 26"], ["u", "s + 6", "s + 32"], ["s", "r + 6", "r + 38"], ["r", "p + 18", "p + 56"], ["p", "x + 4", "x + 60"], ["x", 4, "64"]], "target_var_name": "q", "target_value": 64, "value_dict": {"x": 4}, "is_reverse": true}} | 15,478 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = e + 11; z = x + 5; c = o + 18; p = x + 4; x = 4; j = z + 16; q = f + 20; e = c + 8; o = j + 1; r = p + 18; f = u + 6; s = r + 6; u = s + 6. If x = 4, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = u + 6 to q, which gives q = u + 26.\n2. Substitute u = s + 6 to q, which gives q = s + 32.\n3. Substitute s = r + 6 to q, which gives q = r + 38.\n4. Substitute r = p + 18 to q, which gives q = p + 56.\n5. Substitute p = x + 4 to q, which gives q = x + 60.\n6. Substitute x = 4 to q, which gives q = 64.\n\nThus, the final answer is q = \\boxed{64}.",
"index": 15478,
"question": "Consider a system of variables where each variable is defined as follows: b = e + 11; z = x + 5; c = o + 18; p = x + 4; x = 4; j = z + 16; q = f + 20; e = c + 8; o = j + 1; r = p + 18; f = u + 6; s = r + 6; u = s + 6. If x = 4, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"w": "c + 17", "u": "w + 17", "y": "u + 14", "i": "y + 12", "k": "i + 1", "o": "k + 7", "n": "c + 5", "j": "n + 14", "e": "j + 5", "t": "e + 3", "x": "t + 4", "g": "x + 19", "c": 14}, "premises": {"c": 14}, "target": "o"}, "answer": {"steps": [["k", "i + 1", "i + 8"], ["i", "y + 12", "y + 20"], ["y", "u + 14", "u + 34"], ["u", "w + 17", "w + 51"], ["w", "c + 17", "c + 68"], ["c", 14, "82"]], "target_var_name": "o", "target_value": 82, "value_dict": {"c": 14}, "is_reverse": true}} | 15,479 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = j + 5; w = c + 17; j = n + 14; t = e + 3; c = 14; i = y + 12; x = t + 4; u = w + 17; y = u + 14; n = c + 5; k = i + 1; g = x + 19; o = k + 7. Given that c = 14, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = i + 1 to o, which gives o = i + 8.\n2. Substitute i = y + 12 to o, which gives o = y + 20.\n3. Substitute y = u + 14 to o, which gives o = u + 34.\n4. Substitute u = w + 17 to o, which gives o = w + 51.\n5. Substitute w = c + 17 to o, which gives o = c + 68.\n6. Substitute c = 14 to o, which gives o = 82.\n\nThus, the final answer is o = \\boxed{82}.",
"index": 15479,
"question": "Suppose a collection of variables is related by the following definitions: e = j + 5; w = c + 17; j = n + 14; t = e + 3; c = 14; i = y + 12; x = t + 4; u = w + 17; y = u + 14; n = c + 5; k = i + 1; g = x + 19; o = k + 7. Given that c = 14, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"q": "d + 17", "r": "q + 7", "f": "r + 12", "i": "f + 18", "h": "i + 15", "e": "h + 5", "a": "d + 2", "m": "a + 10", "z": "m + 2", "g": "z + 9", "p": "g + 18", "k": "p + 10", "d": 10}, "premises": {"d": 10}, "target": "e"}, "answer": {"steps": [["h", "i + 15", "i + 20"], ["i", "f + 18", "f + 38"], ["f", "r + 12", "r + 50"], ["r", "q + 7", "q + 57"], ["q", "d + 17", "d + 74"], ["d", 10, "84"]], "target_var_name": "e", "target_value": 84, "value_dict": {"d": 10}, "is_reverse": true}} | 15,480 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = q + 7; z = m + 2; e = h + 5; q = d + 17; m = a + 10; p = g + 18; g = z + 9; a = d + 2; d = 10; f = r + 12; i = f + 18; k = p + 10; h = i + 15. Given that d = 10, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = i + 15 to e, which gives e = i + 20.\n2. Substitute i = f + 18 to e, which gives e = f + 38.\n3. Substitute f = r + 12 to e, which gives e = r + 50.\n4. Substitute r = q + 7 to e, which gives e = q + 57.\n5. Substitute q = d + 17 to e, which gives e = d + 74.\n6. Substitute d = 10 to e, which gives e = 84.\n\nThus, the final answer is e = \\boxed{84}.",
"index": 15480,
"question": "Suppose a collection of variables is related by the following definitions: r = q + 7; z = m + 2; e = h + 5; q = d + 17; m = a + 10; p = g + 18; g = z + 9; a = d + 2; d = 10; f = r + 12; i = f + 18; k = p + 10; h = i + 15. Given that d = 10, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"q": "k + 20", "p": "q + 9", "m": "p + 1", "i": "m + 16", "l": "i + 9", "z": "l + 9", "f": "k + 9", "c": "f + 18", "u": "c + 5", "v": "u + 1", "t": "v + 14", "y": "t + 14", "k": 12}, "premises": {"k": 12}, "target": "z"}, "answer": {"steps": [["l", "i + 9", "i + 18"], ["i", "m + 16", "m + 34"], ["m", "p + 1", "p + 35"], ["p", "q + 9", "q + 44"], ["q", "k + 20", "k + 64"], ["k", 12, "76"]], "target_var_name": "z", "target_value": 76, "value_dict": {"k": 12}, "is_reverse": true}} | 15,481 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = l + 9; p = q + 9; y = t + 14; i = m + 16; l = i + 9; m = p + 1; f = k + 9; t = v + 14; k = 12; q = k + 20; u = c + 5; v = u + 1; c = f + 18. Given that k = 12, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = i + 9 to z, which gives z = i + 18.\n2. Substitute i = m + 16 to z, which gives z = m + 34.\n3. Substitute m = p + 1 to z, which gives z = p + 35.\n4. Substitute p = q + 9 to z, which gives z = q + 44.\n5. Substitute q = k + 20 to z, which gives z = k + 64.\n6. Substitute k = 12 to z, which gives z = 76.\n\nThus, the final answer is z = \\boxed{76}.",
"index": 15481,
"question": "Suppose a collection of variables is related by the following definitions: z = l + 9; p = q + 9; y = t + 14; i = m + 16; l = i + 9; m = p + 1; f = k + 9; t = v + 14; k = 12; q = k + 20; u = c + 5; v = u + 1; c = f + 18. Given that k = 12, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"e": "a + 16", "u": "e + 4", "f": "u + 6", "h": "f + 17", "w": "h + 2", "v": "w + 9", "b": "a + 2", "l": "b + 4", "c": "l + 7", "d": "c + 13", "y": "d + 18", "i": "y + 14", "a": 12}, "premises": {"a": 12}, "target": "v"}, "answer": {"steps": [["w", "h + 2", "h + 11"], ["h", "f + 17", "f + 28"], ["f", "u + 6", "u + 34"], ["u", "e + 4", "e + 38"], ["e", "a + 16", "a + 54"], ["a", 12, "66"]], "target_var_name": "v", "target_value": 66, "value_dict": {"a": 12}, "is_reverse": true}} | 15,482 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = e + 4; w = h + 2; y = d + 18; i = y + 14; c = l + 7; l = b + 4; d = c + 13; e = a + 16; b = a + 2; h = f + 17; a = 12; f = u + 6; v = w + 9. If a = 12, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = h + 2 to v, which gives v = h + 11.\n2. Substitute h = f + 17 to v, which gives v = f + 28.\n3. Substitute f = u + 6 to v, which gives v = u + 34.\n4. Substitute u = e + 4 to v, which gives v = e + 38.\n5. Substitute e = a + 16 to v, which gives v = a + 54.\n6. Substitute a = 12 to v, which gives v = 66.\n\nThus, the final answer is v = \\boxed{66}.",
"index": 15482,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = e + 4; w = h + 2; y = d + 18; i = y + 14; c = l + 7; l = b + 4; d = c + 13; e = a + 16; b = a + 2; h = f + 17; a = 12; f = u + 6; v = w + 9. If a = 12, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"e": "r + 16", "c": "e + 1", "g": "c + 19", "m": "g + 9", "f": "m + 5", "u": "f + 19", "d": "r + 11", "t": "d + 20", "h": "t + 14", "p": "h + 1", "j": "p + 4", "o": "j + 12", "r": 10}, "premises": {"r": 10}, "target": "u"}, "answer": {"steps": [["f", "m + 5", "m + 24"], ["m", "g + 9", "g + 33"], ["g", "c + 19", "c + 52"], ["c", "e + 1", "e + 53"], ["e", "r + 16", "r + 69"], ["r", 10, "79"]], "target_var_name": "u", "target_value": 79, "value_dict": {"r": 10}, "is_reverse": true}} | 15,483 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = m + 5; e = r + 16; r = 10; h = t + 14; d = r + 11; u = f + 19; p = h + 1; m = g + 9; g = c + 19; j = p + 4; c = e + 1; t = d + 20; o = j + 12. If r = 10, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = m + 5 to u, which gives u = m + 24.\n2. Substitute m = g + 9 to u, which gives u = g + 33.\n3. Substitute g = c + 19 to u, which gives u = c + 52.\n4. Substitute c = e + 1 to u, which gives u = e + 53.\n5. Substitute e = r + 16 to u, which gives u = r + 69.\n6. Substitute r = 10 to u, which gives u = 79.\n\nThus, the final answer is u = \\boxed{79}.",
"index": 15483,
"question": "Consider a system of variables where each variable is defined as follows: f = m + 5; e = r + 16; r = 10; h = t + 14; d = r + 11; u = f + 19; p = h + 1; m = g + 9; g = c + 19; j = p + 4; c = e + 1; t = d + 20; o = j + 12. If r = 10, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"f": "d + 18", "c": "f + 20", "l": "c + 4", "u": "l + 5", "z": "u + 14", "w": "z + 20", "g": "d + 5", "a": "g + 2", "v": "a + 7", "b": "v + 5", "x": "b + 14", "n": "x + 17", "d": 20}, "premises": {"d": 20}, "target": "w"}, "answer": {"steps": [["z", "u + 14", "u + 34"], ["u", "l + 5", "l + 39"], ["l", "c + 4", "c + 43"], ["c", "f + 20", "f + 63"], ["f", "d + 18", "d + 81"], ["d", 20, "101"]], "target_var_name": "w", "target_value": 101, "value_dict": {"d": 20}, "is_reverse": true}} | 15,484 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = b + 14; v = a + 7; l = c + 4; c = f + 20; a = g + 2; d = 20; w = z + 20; f = d + 18; b = v + 5; n = x + 17; u = l + 5; z = u + 14; g = d + 5. Given that d = 20, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = u + 14 to w, which gives w = u + 34.\n2. Substitute u = l + 5 to w, which gives w = l + 39.\n3. Substitute l = c + 4 to w, which gives w = c + 43.\n4. Substitute c = f + 20 to w, which gives w = f + 63.\n5. Substitute f = d + 18 to w, which gives w = d + 81.\n6. Substitute d = 20 to w, which gives w = 101.\n\nThus, the final answer is w = \\boxed{101}.",
"index": 15484,
"question": "Suppose a collection of variables is related by the following definitions: x = b + 14; v = a + 7; l = c + 4; c = f + 20; a = g + 2; d = 20; w = z + 20; f = d + 18; b = v + 5; n = x + 17; u = l + 5; z = u + 14; g = d + 5. Given that d = 20, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"l": "r + 2", "i": "l + 4", "a": "i + 2", "v": "a + 5", "z": "v + 11", "j": "z + 9", "h": "r + 7", "o": "h + 12", "t": "o + 2", "w": "t + 16", "f": "w + 3", "e": "f + 13", "r": 1}, "premises": {"r": 1}, "target": "j"}, "answer": {"steps": [["z", "v + 11", "v + 20"], ["v", "a + 5", "a + 25"], ["a", "i + 2", "i + 27"], ["i", "l + 4", "l + 31"], ["l", "r + 2", "r + 33"], ["r", 1, "34"]], "target_var_name": "j", "target_value": 34, "value_dict": {"r": 1}, "is_reverse": true}} | 15,485 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = f + 13; o = h + 12; z = v + 11; r = 1; t = o + 2; i = l + 4; v = a + 5; j = z + 9; a = i + 2; f = w + 3; w = t + 16; l = r + 2; h = r + 7. If r = 1, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 34,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = v + 11 to j, which gives j = v + 20.\n2. Substitute v = a + 5 to j, which gives j = a + 25.\n3. Substitute a = i + 2 to j, which gives j = i + 27.\n4. Substitute i = l + 4 to j, which gives j = l + 31.\n5. Substitute l = r + 2 to j, which gives j = r + 33.\n6. Substitute r = 1 to j, which gives j = 34.\n\nThus, the final answer is j = \\boxed{34}.",
"index": 15485,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = f + 13; o = h + 12; z = v + 11; r = 1; t = o + 2; i = l + 4; v = a + 5; j = z + 9; a = i + 2; f = w + 3; w = t + 16; l = r + 2; h = r + 7. If r = 1, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"r": "x + 5", "h": "r + 2", "t": "h + 5", "f": "t + 12", "j": "f + 11", "z": "j + 5", "m": "x + 9", "g": "m + 14", "d": "g + 9", "v": "d + 15", "i": "v + 3", "k": "i + 13", "x": 3}, "premises": {"x": 3}, "target": "z"}, "answer": {"steps": [["j", "f + 11", "f + 16"], ["f", "t + 12", "t + 28"], ["t", "h + 5", "h + 33"], ["h", "r + 2", "r + 35"], ["r", "x + 5", "x + 40"], ["x", 3, "43"]], "target_var_name": "z", "target_value": 43, "value_dict": {"x": 3}, "is_reverse": true}} | 15,486 | 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 = m + 14; j = f + 11; k = i + 13; i = v + 3; z = j + 5; r = x + 5; f = t + 12; d = g + 9; t = h + 5; v = d + 15; m = x + 9; h = r + 2; x = 3. If x = 3, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = f + 11 to z, which gives z = f + 16.\n2. Substitute f = t + 12 to z, which gives z = t + 28.\n3. Substitute t = h + 5 to z, which gives z = h + 33.\n4. Substitute h = r + 2 to z, which gives z = r + 35.\n5. Substitute r = x + 5 to z, which gives z = x + 40.\n6. Substitute x = 3 to z, which gives z = 43.\n\nThus, the final answer is z = \\boxed{43}.",
"index": 15486,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = m + 14; j = f + 11; k = i + 13; i = v + 3; z = j + 5; r = x + 5; f = t + 12; d = g + 9; t = h + 5; v = d + 15; m = x + 9; h = r + 2; x = 3. If x = 3, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"j": "u + 12", "v": "j + 6", "g": "v + 2", "x": "g + 14", "h": "x + 13", "k": "h + 18", "n": "u + 10", "c": "n + 13", "b": "c + 1", "d": "b + 10", "q": "d + 15", "m": "q + 11", "u": 7}, "premises": {"u": 7}, "target": "k"}, "answer": {"steps": [["h", "x + 13", "x + 31"], ["x", "g + 14", "g + 45"], ["g", "v + 2", "v + 47"], ["v", "j + 6", "j + 53"], ["j", "u + 12", "u + 65"], ["u", 7, "72"]], "target_var_name": "k", "target_value": 72, "value_dict": {"u": 7}, "is_reverse": true}} | 15,487 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = q + 11; h = x + 13; k = h + 18; n = u + 10; j = u + 12; u = 7; q = d + 15; v = j + 6; c = n + 13; x = g + 14; d = b + 10; b = c + 1; g = v + 2. If u = 7, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = x + 13 to k, which gives k = x + 31.\n2. Substitute x = g + 14 to k, which gives k = g + 45.\n3. Substitute g = v + 2 to k, which gives k = v + 47.\n4. Substitute v = j + 6 to k, which gives k = j + 53.\n5. Substitute j = u + 12 to k, which gives k = u + 65.\n6. Substitute u = 7 to k, which gives k = 72.\n\nThus, the final answer is k = \\boxed{72}.",
"index": 15487,
"question": "Consider a system of variables where each variable is defined as follows: m = q + 11; h = x + 13; k = h + 18; n = u + 10; j = u + 12; u = 7; q = d + 15; v = j + 6; c = n + 13; x = g + 14; d = b + 10; b = c + 1; g = v + 2. If u = 7, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"q": "r + 10", "j": "q + 11", "h": "j + 19", "z": "h + 11", "n": "z + 4", "g": "n + 9", "a": "r + 1", "o": "a + 6", "i": "o + 12", "x": "i + 7", "b": "x + 16", "y": "b + 19", "r": 8}, "premises": {"r": 8}, "target": "g"}, "answer": {"steps": [["n", "z + 4", "z + 13"], ["z", "h + 11", "h + 24"], ["h", "j + 19", "j + 43"], ["j", "q + 11", "q + 54"], ["q", "r + 10", "r + 64"], ["r", 8, "72"]], "target_var_name": "g", "target_value": 72, "value_dict": {"r": 8}, "is_reverse": true}} | 15,488 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = r + 10; n = z + 4; r = 8; z = h + 11; i = o + 12; j = q + 11; g = n + 9; o = a + 6; h = j + 19; y = b + 19; b = x + 16; x = i + 7; a = r + 1. If r = 8, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = z + 4 to g, which gives g = z + 13.\n2. Substitute z = h + 11 to g, which gives g = h + 24.\n3. Substitute h = j + 19 to g, which gives g = j + 43.\n4. Substitute j = q + 11 to g, which gives g = q + 54.\n5. Substitute q = r + 10 to g, which gives g = r + 64.\n6. Substitute r = 8 to g, which gives g = 72.\n\nThus, the final answer is g = \\boxed{72}.",
"index": 15488,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = r + 10; n = z + 4; r = 8; z = h + 11; i = o + 12; j = q + 11; g = n + 9; o = a + 6; h = j + 19; y = b + 19; b = x + 16; x = i + 7; a = r + 1. If r = 8, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"k": "a + 6", "n": "k + 9", "o": "n + 6", "y": "o + 15", "h": "y + 17", "u": "h + 20", "j": "a + 7", "q": "j + 9", "t": "q + 16", "v": "t + 15", "s": "v + 11", "r": "s + 15", "a": 12}, "premises": {"a": 12}, "target": "u"}, "answer": {"steps": [["h", "y + 17", "y + 37"], ["y", "o + 15", "o + 52"], ["o", "n + 6", "n + 58"], ["n", "k + 9", "k + 67"], ["k", "a + 6", "a + 73"], ["a", 12, "85"]], "target_var_name": "u", "target_value": 85, "value_dict": {"a": 12}, "is_reverse": true}} | 15,489 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = n + 6; h = y + 17; n = k + 9; j = a + 7; k = a + 6; y = o + 15; a = 12; u = h + 20; q = j + 9; v = t + 15; r = s + 15; t = q + 16; s = v + 11. If a = 12, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = y + 17 to u, which gives u = y + 37.\n2. Substitute y = o + 15 to u, which gives u = o + 52.\n3. Substitute o = n + 6 to u, which gives u = n + 58.\n4. Substitute n = k + 9 to u, which gives u = k + 67.\n5. Substitute k = a + 6 to u, which gives u = a + 73.\n6. Substitute a = 12 to u, which gives u = 85.\n\nThus, the final answer is u = \\boxed{85}.",
"index": 15489,
"question": "Consider a system of variables where each variable is defined as follows: o = n + 6; h = y + 17; n = k + 9; j = a + 7; k = a + 6; y = o + 15; a = 12; u = h + 20; q = j + 9; v = t + 15; r = s + 15; t = q + 16; s = v + 11. If a = 12, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"u": "f + 19", "o": "u + 4", "z": "o + 9", "i": "z + 1", "v": "i + 15", "h": "v + 20", "l": "f + 7", "r": "l + 17", "g": "r + 2", "m": "g + 17", "x": "m + 3", "y": "x + 12", "f": 15}, "premises": {"f": 15}, "target": "h"}, "answer": {"steps": [["v", "i + 15", "i + 35"], ["i", "z + 1", "z + 36"], ["z", "o + 9", "o + 45"], ["o", "u + 4", "u + 49"], ["u", "f + 19", "f + 68"], ["f", 15, "83"]], "target_var_name": "h", "target_value": 83, "value_dict": {"f": 15}, "is_reverse": true}} | 15,490 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = z + 1; f = 15; v = i + 15; x = m + 3; l = f + 7; m = g + 17; h = v + 20; y = x + 12; r = l + 17; g = r + 2; u = f + 19; z = o + 9; o = u + 4. Given that f = 15, find 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 v = i + 15 to h, which gives h = i + 35.\n2. Substitute i = z + 1 to h, which gives h = z + 36.\n3. Substitute z = o + 9 to h, which gives h = o + 45.\n4. Substitute o = u + 4 to h, which gives h = u + 49.\n5. Substitute u = f + 19 to h, which gives h = f + 68.\n6. Substitute f = 15 to h, which gives h = 83.\n\nThus, the final answer is h = \\boxed{83}.",
"index": 15490,
"question": "Suppose a collection of variables is related by the following definitions: i = z + 1; f = 15; v = i + 15; x = m + 3; l = f + 7; m = g + 17; h = v + 20; y = x + 12; r = l + 17; g = r + 2; u = f + 19; z = o + 9; o = u + 4. Given that f = 15, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"s": "l + 12", "x": "s + 7", "b": "x + 6", "i": "b + 17", "k": "i + 3", "o": "k + 20", "h": "l + 20", "d": "h + 3", "c": "d + 8", "z": "c + 14", "e": "z + 8", "u": "e + 20", "l": 1}, "premises": {"l": 1}, "target": "o"}, "answer": {"steps": [["k", "i + 3", "i + 23"], ["i", "b + 17", "b + 40"], ["b", "x + 6", "x + 46"], ["x", "s + 7", "s + 53"], ["s", "l + 12", "l + 65"], ["l", 1, "66"]], "target_var_name": "o", "target_value": 66, "value_dict": {"l": 1}, "is_reverse": true}} | 15,491 | 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 = h + 3; l = 1; i = b + 17; k = i + 3; s = l + 12; h = l + 20; b = x + 6; o = k + 20; c = d + 8; e = z + 8; z = c + 14; x = s + 7; u = e + 20. If l = 1, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = i + 3 to o, which gives o = i + 23.\n2. Substitute i = b + 17 to o, which gives o = b + 40.\n3. Substitute b = x + 6 to o, which gives o = x + 46.\n4. Substitute x = s + 7 to o, which gives o = s + 53.\n5. Substitute s = l + 12 to o, which gives o = l + 65.\n6. Substitute l = 1 to o, which gives o = 66.\n\nThus, the final answer is o = \\boxed{66}.",
"index": 15491,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = h + 3; l = 1; i = b + 17; k = i + 3; s = l + 12; h = l + 20; b = x + 6; o = k + 20; c = d + 8; e = z + 8; z = c + 14; x = s + 7; u = e + 20. If l = 1, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"p": "z + 9", "n": "p + 5", "h": "n + 1", "w": "h + 16", "f": "w + 9", "c": "f + 6", "o": "z + 2", "v": "o + 11", "r": "v + 11", "l": "r + 6", "a": "l + 6", "k": "a + 7", "z": 15}, "premises": {"z": 15}, "target": "c"}, "answer": {"steps": [["f", "w + 9", "w + 15"], ["w", "h + 16", "h + 31"], ["h", "n + 1", "n + 32"], ["n", "p + 5", "p + 37"], ["p", "z + 9", "z + 46"], ["z", 15, "61"]], "target_var_name": "c", "target_value": 61, "value_dict": {"z": 15}, "is_reverse": true}} | 15,492 | 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 + 6; a = l + 6; p = z + 9; h = n + 1; k = a + 7; o = z + 2; w = h + 16; n = p + 5; r = v + 11; f = w + 9; l = r + 6; z = 15; v = o + 11. If z = 15, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = w + 9 to c, which gives c = w + 15.\n2. Substitute w = h + 16 to c, which gives c = h + 31.\n3. Substitute h = n + 1 to c, which gives c = n + 32.\n4. Substitute n = p + 5 to c, which gives c = p + 37.\n5. Substitute p = z + 9 to c, which gives c = z + 46.\n6. Substitute z = 15 to c, which gives c = 61.\n\nThus, the final answer is c = \\boxed{61}.",
"index": 15492,
"question": "Consider a system of variables where each variable is defined as follows: c = f + 6; a = l + 6; p = z + 9; h = n + 1; k = a + 7; o = z + 2; w = h + 16; n = p + 5; r = v + 11; f = w + 9; l = r + 6; z = 15; v = o + 11. If z = 15, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"h": "q + 2", "l": "h + 11", "a": "l + 7", "z": "a + 7", "j": "z + 5", "g": "j + 13", "d": "q + 20", "x": "d + 11", "y": "x + 1", "t": "y + 11", "f": "t + 12", "i": "f + 2", "q": 2}, "premises": {"q": 2}, "target": "g"}, "answer": {"steps": [["j", "z + 5", "z + 18"], ["z", "a + 7", "a + 25"], ["a", "l + 7", "l + 32"], ["l", "h + 11", "h + 43"], ["h", "q + 2", "q + 45"], ["q", 2, "47"]], "target_var_name": "g", "target_value": 47, "value_dict": {"q": 2}, "is_reverse": true}} | 15,493 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = 2; l = h + 11; y = x + 1; t = y + 11; i = f + 2; d = q + 20; g = j + 13; h = q + 2; a = l + 7; x = d + 11; j = z + 5; f = t + 12; z = a + 7. If q = 2, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = z + 5 to g, which gives g = z + 18.\n2. Substitute z = a + 7 to g, which gives g = a + 25.\n3. Substitute a = l + 7 to g, which gives g = l + 32.\n4. Substitute l = h + 11 to g, which gives g = h + 43.\n5. Substitute h = q + 2 to g, which gives g = q + 45.\n6. Substitute q = 2 to g, which gives g = 47.\n\nThus, the final answer is g = \\boxed{47}.",
"index": 15493,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = 2; l = h + 11; y = x + 1; t = y + 11; i = f + 2; d = q + 20; g = j + 13; h = q + 2; a = l + 7; x = d + 11; j = z + 5; f = t + 12; z = a + 7. If q = 2, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"k": "r + 17", "t": "k + 7", "p": "t + 20", "c": "p + 13", "s": "c + 20", "a": "s + 14", "i": "r + 7", "h": "i + 11", "u": "h + 13", "n": "u + 16", "b": "n + 16", "v": "b + 4", "r": 19}, "premises": {"r": 19}, "target": "a"}, "answer": {"steps": [["s", "c + 20", "c + 34"], ["c", "p + 13", "p + 47"], ["p", "t + 20", "t + 67"], ["t", "k + 7", "k + 74"], ["k", "r + 17", "r + 91"], ["r", 19, "110"]], "target_var_name": "a", "target_value": 110, "value_dict": {"r": 19}, "is_reverse": true}} | 15,494 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = h + 13; h = i + 11; c = p + 13; t = k + 7; p = t + 20; i = r + 7; a = s + 14; n = u + 16; k = r + 17; b = n + 16; v = b + 4; s = c + 20; r = 19. If r = 19, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 110,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = c + 20 to a, which gives a = c + 34.\n2. Substitute c = p + 13 to a, which gives a = p + 47.\n3. Substitute p = t + 20 to a, which gives a = t + 67.\n4. Substitute t = k + 7 to a, which gives a = k + 74.\n5. Substitute k = r + 17 to a, which gives a = r + 91.\n6. Substitute r = 19 to a, which gives a = 110.\n\nThus, the final answer is a = \\boxed{110}.",
"index": 15494,
"question": "Consider a system of variables where each variable is defined as follows: u = h + 13; h = i + 11; c = p + 13; t = k + 7; p = t + 20; i = r + 7; a = s + 14; n = u + 16; k = r + 17; b = n + 16; v = b + 4; s = c + 20; r = 19. If r = 19, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"r": "y + 2", "j": "r + 20", "b": "j + 20", "f": "b + 7", "x": "f + 13", "e": "x + 13", "m": "y + 1", "c": "m + 20", "g": "c + 6", "z": "g + 20", "v": "z + 13", "l": "v + 6", "y": 8}, "premises": {"y": 8}, "target": "e"}, "answer": {"steps": [["x", "f + 13", "f + 26"], ["f", "b + 7", "b + 33"], ["b", "j + 20", "j + 53"], ["j", "r + 20", "r + 73"], ["r", "y + 2", "y + 75"], ["y", 8, "83"]], "target_var_name": "e", "target_value": 83, "value_dict": {"y": 8}, "is_reverse": true}} | 15,495 | 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 = f + 13; c = m + 20; y = 8; j = r + 20; z = g + 20; g = c + 6; m = y + 1; r = y + 2; f = b + 7; e = x + 13; l = v + 6; b = j + 20; v = z + 13. If y = 8, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = f + 13 to e, which gives e = f + 26.\n2. Substitute f = b + 7 to e, which gives e = b + 33.\n3. Substitute b = j + 20 to e, which gives e = j + 53.\n4. Substitute j = r + 20 to e, which gives e = r + 73.\n5. Substitute r = y + 2 to e, which gives e = y + 75.\n6. Substitute y = 8 to e, which gives e = 83.\n\nThus, the final answer is e = \\boxed{83}.",
"index": 15495,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = f + 13; c = m + 20; y = 8; j = r + 20; z = g + 20; g = c + 6; m = y + 1; r = y + 2; f = b + 7; e = x + 13; l = v + 6; b = j + 20; v = z + 13. If y = 8, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"f": "g + 19", "t": "f + 9", "m": "t + 19", "z": "m + 5", "w": "z + 4", "a": "w + 20", "y": "g + 5", "o": "y + 18", "p": "o + 4", "u": "p + 11", "n": "u + 20", "s": "n + 16", "g": 4}, "premises": {"g": 4}, "target": "a"}, "answer": {"steps": [["w", "z + 4", "z + 24"], ["z", "m + 5", "m + 29"], ["m", "t + 19", "t + 48"], ["t", "f + 9", "f + 57"], ["f", "g + 19", "g + 76"], ["g", 4, "80"]], "target_var_name": "a", "target_value": 80, "value_dict": {"g": 4}, "is_reverse": true}} | 15,496 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = y + 18; w = z + 4; p = o + 4; a = w + 20; s = n + 16; u = p + 11; z = m + 5; f = g + 19; m = t + 19; y = g + 5; t = f + 9; n = u + 20; g = 4. If g = 4, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = z + 4 to a, which gives a = z + 24.\n2. Substitute z = m + 5 to a, which gives a = m + 29.\n3. Substitute m = t + 19 to a, which gives a = t + 48.\n4. Substitute t = f + 9 to a, which gives a = f + 57.\n5. Substitute f = g + 19 to a, which gives a = g + 76.\n6. Substitute g = 4 to a, which gives a = 80.\n\nThus, the final answer is a = \\boxed{80}.",
"index": 15496,
"question": "Consider a system of variables where each variable is defined as follows: o = y + 18; w = z + 4; p = o + 4; a = w + 20; s = n + 16; u = p + 11; z = m + 5; f = g + 19; m = t + 19; y = g + 5; t = f + 9; n = u + 20; g = 4. If g = 4, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"f": "i + 4", "w": "f + 18", "c": "w + 12", "m": "c + 16", "k": "m + 5", "t": "k + 8", "y": "i + 11", "h": "y + 3", "d": "h + 11", "e": "d + 5", "g": "e + 17", "l": "g + 20", "i": 13}, "premises": {"i": 13}, "target": "t"}, "answer": {"steps": [["k", "m + 5", "m + 13"], ["m", "c + 16", "c + 29"], ["c", "w + 12", "w + 41"], ["w", "f + 18", "f + 59"], ["f", "i + 4", "i + 63"], ["i", 13, "76"]], "target_var_name": "t", "target_value": 76, "value_dict": {"i": 13}, "is_reverse": true}} | 15,497 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = i + 11; l = g + 20; c = w + 12; w = f + 18; m = c + 16; h = y + 3; e = d + 5; d = h + 11; g = e + 17; i = 13; k = m + 5; f = i + 4; t = k + 8. Given that i = 13, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = m + 5 to t, which gives t = m + 13.\n2. Substitute m = c + 16 to t, which gives t = c + 29.\n3. Substitute c = w + 12 to t, which gives t = w + 41.\n4. Substitute w = f + 18 to t, which gives t = f + 59.\n5. Substitute f = i + 4 to t, which gives t = i + 63.\n6. Substitute i = 13 to t, which gives t = 76.\n\nThus, the final answer is t = \\boxed{76}.",
"index": 15497,
"question": "Suppose a collection of variables is related by the following definitions: y = i + 11; l = g + 20; c = w + 12; w = f + 18; m = c + 16; h = y + 3; e = d + 5; d = h + 11; g = e + 17; i = 13; k = m + 5; f = i + 4; t = k + 8. Given that i = 13, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"k": "a + 4", "b": "k + 12", "t": "b + 11", "g": "t + 16", "y": "g + 7", "h": "y + 5", "o": "a + 15", "j": "o + 10", "n": "j + 17", "d": "n + 16", "r": "d + 8", "m": "r + 14", "a": 13}, "premises": {"a": 13}, "target": "h"}, "answer": {"steps": [["y", "g + 7", "g + 12"], ["g", "t + 16", "t + 28"], ["t", "b + 11", "b + 39"], ["b", "k + 12", "k + 51"], ["k", "a + 4", "a + 55"], ["a", 13, "68"]], "target_var_name": "h", "target_value": 68, "value_dict": {"a": 13}, "is_reverse": true}} | 15,498 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = g + 7; h = y + 5; m = r + 14; t = b + 11; g = t + 16; o = a + 15; d = n + 16; b = k + 12; n = j + 17; k = a + 4; a = 13; r = d + 8; j = o + 10. Given that a = 13, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = g + 7 to h, which gives h = g + 12.\n2. Substitute g = t + 16 to h, which gives h = t + 28.\n3. Substitute t = b + 11 to h, which gives h = b + 39.\n4. Substitute b = k + 12 to h, which gives h = k + 51.\n5. Substitute k = a + 4 to h, which gives h = a + 55.\n6. Substitute a = 13 to h, which gives h = 68.\n\nThus, the final answer is h = \\boxed{68}.",
"index": 15498,
"question": "Suppose a collection of variables is related by the following definitions: y = g + 7; h = y + 5; m = r + 14; t = b + 11; g = t + 16; o = a + 15; d = n + 16; b = k + 12; n = j + 17; k = a + 4; a = 13; r = d + 8; j = o + 10. Given that a = 13, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"z": "h + 11", "n": "z + 8", "i": "n + 15", "u": "i + 17", "s": "u + 16", "v": "s + 14", "g": "h + 2", "w": "g + 1", "x": "w + 1", "b": "x + 5", "r": "b + 12", "e": "r + 7", "h": 14}, "premises": {"h": 14}, "target": "v"}, "answer": {"steps": [["s", "u + 16", "u + 30"], ["u", "i + 17", "i + 47"], ["i", "n + 15", "n + 62"], ["n", "z + 8", "z + 70"], ["z", "h + 11", "h + 81"], ["h", 14, "95"]], "target_var_name": "v", "target_value": 95, "value_dict": {"h": 14}, "is_reverse": true}} | 15,499 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = x + 5; e = r + 7; i = n + 15; r = b + 12; s = u + 16; w = g + 1; h = 14; z = h + 11; n = z + 8; g = h + 2; x = w + 1; v = s + 14; u = i + 17. Given that h = 14, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = u + 16 to v, which gives v = u + 30.\n2. Substitute u = i + 17 to v, which gives v = i + 47.\n3. Substitute i = n + 15 to v, which gives v = n + 62.\n4. Substitute n = z + 8 to v, which gives v = z + 70.\n5. Substitute z = h + 11 to v, which gives v = h + 81.\n6. Substitute h = 14 to v, which gives v = 95.\n\nThus, the final answer is v = \\boxed{95}.",
"index": 15499,
"question": "Suppose a collection of variables is related by the following definitions: b = x + 5; e = r + 7; i = n + 15; r = b + 12; s = u + 16; w = g + 1; h = 14; z = h + 11; n = z + 8; g = h + 2; x = w + 1; v = s + 14; u = i + 17. Given that h = 14, find the value of v.",
"split": "train"
} |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.