meta stringlengths 493 517 | id int64 0 25.6k | problem_solution_idx int64 0 0 | world_id stringclasses 1 value | data_source stringclasses 1 value | prompt listlengths 1 1 | ability stringclasses 1 value | reward_model dict | extra_info dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"y": "v + 14", "x": "y + 11", "s": "x + 13", "p": "s + 12", "i": "p + 5", "h": "i + 15", "m": "v + 10", "z": "m + 6", "j": "z + 15", "t": "j + 9", "r": "t + 20", "q": "r + 17", "v": 9}, "premises": {"v": 9}, "target": "h"}, "answer": {"steps": [["i", "p + 5", "p + 20"], ["p", "s + 12", "s + 32"], ["s", "x + 13", "x + 45"], ["x", "y + 11", "y + 56"], ["y", "v + 14", "v + 70"], ["v", 9, "79"]], "target_var_name": "h", "target_value": 79, "value_dict": {"v": 9}, "is_reverse": true}} | 7,700 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = r + 17; r = t + 20; s = x + 13; t = j + 9; z = m + 6; i = p + 5; p = s + 12; m = v + 10; y = v + 14; x = y + 11; v = 9; h = i + 15; j = z + 15. If v = 9, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = p + 5 to h, which gives h = p + 20.\n2. Substitute p = s + 12 to h, which gives h = s + 32.\n3. Substitute s = x + 13 to h, which gives h = x + 45.\n4. Substitute x = y + 11 to h, which gives h = y + 56.\n5. Substitute y = v + 14 to h, which gives h = v + 70.\n6. Substitute v = 9 to h, which gives h = 79.\n\nThus, the final answer is h = \\boxed{79}.",
"index": 7700,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = r + 17; r = t + 20; s = x + 13; t = j + 9; z = m + 6; i = p + 5; p = s + 12; m = v + 10; y = v + 14; x = y + 11; v = 9; h = i + 15; j = z + 15. If v = 9, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"d": "v + 2", "e": "d + 5", "c": "e + 15", "z": "c + 3", "w": "z + 3", "f": "w + 1", "p": "v + 16", "o": "p + 5", "j": "o + 8", "g": "j + 4", "r": "g + 4", "l": "r + 18", "v": 1}, "premises": {"v": 1}, "target": "f"}, "answer": {"steps": [["w", "z + 3", "z + 4"], ["z", "c + 3", "c + 7"], ["c", "e + 15", "e + 22"], ["e", "d + 5", "d + 27"], ["d", "v + 2", "v + 29"], ["v", 1, "30"]], "target_var_name": "f", "target_value": 30, "value_dict": {"v": 1}, "is_reverse": true}} | 7,701 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = v + 2; f = w + 1; g = j + 4; z = c + 3; c = e + 15; l = r + 18; e = d + 5; j = o + 8; v = 1; w = z + 3; r = g + 4; o = p + 5; p = v + 16. Given that v = 1, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 30,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = z + 3 to f, which gives f = z + 4.\n2. Substitute z = c + 3 to f, which gives f = c + 7.\n3. Substitute c = e + 15 to f, which gives f = e + 22.\n4. Substitute e = d + 5 to f, which gives f = d + 27.\n5. Substitute d = v + 2 to f, which gives f = v + 29.\n6. Substitute v = 1 to f, which gives f = 30.\n\nThus, the final answer is f = \\boxed{30}.",
"index": 7701,
"question": "Suppose a collection of variables is related by the following definitions: d = v + 2; f = w + 1; g = j + 4; z = c + 3; c = e + 15; l = r + 18; e = d + 5; j = o + 8; v = 1; w = z + 3; r = g + 4; o = p + 5; p = v + 16. Given that v = 1, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"c": "f + 9", "l": "c + 3", "o": "l + 11", "w": "o + 10", "x": "w + 9", "m": "x + 20", "r": "f + 18", "p": "r + 16", "v": "p + 12", "s": "v + 8", "h": "s + 11", "z": "h + 2", "f": 4}, "premises": {"f": 4}, "target": "m"}, "answer": {"steps": [["x", "w + 9", "w + 29"], ["w", "o + 10", "o + 39"], ["o", "l + 11", "l + 50"], ["l", "c + 3", "c + 53"], ["c", "f + 9", "f + 62"], ["f", 4, "66"]], "target_var_name": "m", "target_value": 66, "value_dict": {"f": 4}, "is_reverse": true}} | 7,702 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = h + 2; o = l + 11; m = x + 20; c = f + 9; l = c + 3; h = s + 11; w = o + 10; x = w + 9; s = v + 8; v = p + 12; f = 4; p = r + 16; r = f + 18. Given that f = 4, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = w + 9 to m, which gives m = w + 29.\n2. Substitute w = o + 10 to m, which gives m = o + 39.\n3. Substitute o = l + 11 to m, which gives m = l + 50.\n4. Substitute l = c + 3 to m, which gives m = c + 53.\n5. Substitute c = f + 9 to m, which gives m = f + 62.\n6. Substitute f = 4 to m, which gives m = 66.\n\nThus, the final answer is m = \\boxed{66}.",
"index": 7702,
"question": "Suppose a collection of variables is related by the following definitions: z = h + 2; o = l + 11; m = x + 20; c = f + 9; l = c + 3; h = s + 11; w = o + 10; x = w + 9; s = v + 8; v = p + 12; f = 4; p = r + 16; r = f + 18. Given that f = 4, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"o": "v + 3", "d": "o + 16", "c": "d + 5", "z": "c + 5", "j": "z + 4", "s": "j + 6", "k": "v + 6", "t": "k + 15", "m": "t + 9", "i": "m + 7", "n": "i + 6", "w": "n + 3", "v": 12}, "premises": {"v": 12}, "target": "s"}, "answer": {"steps": [["j", "z + 4", "z + 10"], ["z", "c + 5", "c + 15"], ["c", "d + 5", "d + 20"], ["d", "o + 16", "o + 36"], ["o", "v + 3", "v + 39"], ["v", 12, "51"]], "target_var_name": "s", "target_value": 51, "value_dict": {"v": 12}, "is_reverse": true}} | 7,703 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = z + 4; i = m + 7; c = d + 5; s = j + 6; z = c + 5; n = i + 6; v = 12; d = o + 16; t = k + 15; w = n + 3; k = v + 6; m = t + 9; o = v + 3. Given that v = 12, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = z + 4 to s, which gives s = z + 10.\n2. Substitute z = c + 5 to s, which gives s = c + 15.\n3. Substitute c = d + 5 to s, which gives s = d + 20.\n4. Substitute d = o + 16 to s, which gives s = o + 36.\n5. Substitute o = v + 3 to s, which gives s = v + 39.\n6. Substitute v = 12 to s, which gives s = 51.\n\nThus, the final answer is s = \\boxed{51}.",
"index": 7703,
"question": "Suppose a collection of variables is related by the following definitions: j = z + 4; i = m + 7; c = d + 5; s = j + 6; z = c + 5; n = i + 6; v = 12; d = o + 16; t = k + 15; w = n + 3; k = v + 6; m = t + 9; o = v + 3. Given that v = 12, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"k": "f + 11", "h": "k + 4", "z": "h + 17", "l": "z + 18", "q": "l + 8", "y": "q + 4", "x": "f + 11", "s": "x + 10", "u": "s + 12", "v": "u + 13", "t": "v + 17", "j": "t + 6", "f": 1}, "premises": {"f": 1}, "target": "y"}, "answer": {"steps": [["q", "l + 8", "l + 12"], ["l", "z + 18", "z + 30"], ["z", "h + 17", "h + 47"], ["h", "k + 4", "k + 51"], ["k", "f + 11", "f + 62"], ["f", 1, "63"]], "target_var_name": "y", "target_value": 63, "value_dict": {"f": 1}, "is_reverse": true}} | 7,704 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = q + 4; z = h + 17; j = t + 6; s = x + 10; q = l + 8; k = f + 11; v = u + 13; f = 1; t = v + 17; x = f + 11; l = z + 18; h = k + 4; u = s + 12. Given that f = 1, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = l + 8 to y, which gives y = l + 12.\n2. Substitute l = z + 18 to y, which gives y = z + 30.\n3. Substitute z = h + 17 to y, which gives y = h + 47.\n4. Substitute h = k + 4 to y, which gives y = k + 51.\n5. Substitute k = f + 11 to y, which gives y = f + 62.\n6. Substitute f = 1 to y, which gives y = 63.\n\nThus, the final answer is y = \\boxed{63}.",
"index": 7704,
"question": "Suppose a collection of variables is related by the following definitions: y = q + 4; z = h + 17; j = t + 6; s = x + 10; q = l + 8; k = f + 11; v = u + 13; f = 1; t = v + 17; x = f + 11; l = z + 18; h = k + 4; u = s + 12. Given that f = 1, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"m": "k + 2", "s": "m + 9", "z": "s + 16", "r": "z + 3", "g": "r + 6", "o": "g + 20", "d": "k + 12", "x": "d + 11", "p": "x + 15", "t": "p + 2", "w": "t + 16", "f": "w + 17", "k": 11}, "premises": {"k": 11}, "target": "o"}, "answer": {"steps": [["g", "r + 6", "r + 26"], ["r", "z + 3", "z + 29"], ["z", "s + 16", "s + 45"], ["s", "m + 9", "m + 54"], ["m", "k + 2", "k + 56"], ["k", 11, "67"]], "target_var_name": "o", "target_value": 67, "value_dict": {"k": 11}, "is_reverse": true}} | 7,705 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = r + 6; p = x + 15; m = k + 2; k = 11; w = t + 16; z = s + 16; s = m + 9; f = w + 17; o = g + 20; r = z + 3; x = d + 11; d = k + 12; t = p + 2. Given that k = 11, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = r + 6 to o, which gives o = r + 26.\n2. Substitute r = z + 3 to o, which gives o = z + 29.\n3. Substitute z = s + 16 to o, which gives o = s + 45.\n4. Substitute s = m + 9 to o, which gives o = m + 54.\n5. Substitute m = k + 2 to o, which gives o = k + 56.\n6. Substitute k = 11 to o, which gives o = 67.\n\nThus, the final answer is o = \\boxed{67}.",
"index": 7705,
"question": "Suppose a collection of variables is related by the following definitions: g = r + 6; p = x + 15; m = k + 2; k = 11; w = t + 16; z = s + 16; s = m + 9; f = w + 17; o = g + 20; r = z + 3; x = d + 11; d = k + 12; t = p + 2. Given that k = 11, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"v": "z + 4", "g": "v + 4", "q": "g + 1", "h": "q + 17", "f": "h + 9", "i": "f + 7", "c": "z + 16", "j": "c + 18", "m": "j + 8", "t": "m + 19", "u": "t + 9", "n": "u + 10", "z": 9}, "premises": {"z": 9}, "target": "i"}, "answer": {"steps": [["f", "h + 9", "h + 16"], ["h", "q + 17", "q + 33"], ["q", "g + 1", "g + 34"], ["g", "v + 4", "v + 38"], ["v", "z + 4", "z + 42"], ["z", 9, "51"]], "target_var_name": "i", "target_value": 51, "value_dict": {"z": 9}, "is_reverse": true}} | 7,706 | 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 + 17; m = j + 8; j = c + 18; n = u + 10; t = m + 19; q = g + 1; z = 9; c = z + 16; i = f + 7; u = t + 9; f = h + 9; g = v + 4; v = z + 4. If z = 9, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = h + 9 to i, which gives i = h + 16.\n2. Substitute h = q + 17 to i, which gives i = q + 33.\n3. Substitute q = g + 1 to i, which gives i = g + 34.\n4. Substitute g = v + 4 to i, which gives i = v + 38.\n5. Substitute v = z + 4 to i, which gives i = z + 42.\n6. Substitute z = 9 to i, which gives i = 51.\n\nThus, the final answer is i = \\boxed{51}.",
"index": 7706,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = q + 17; m = j + 8; j = c + 18; n = u + 10; t = m + 19; q = g + 1; z = 9; c = z + 16; i = f + 7; u = t + 9; f = h + 9; g = v + 4; v = z + 4. If z = 9, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"s": "h + 14", "r": "s + 13", "j": "r + 3", "g": "j + 3", "y": "g + 5", "z": "y + 2", "w": "h + 14", "x": "w + 12", "m": "x + 18", "i": "m + 6", "e": "i + 7", "d": "e + 17", "h": 19}, "premises": {"h": 19}, "target": "z"}, "answer": {"steps": [["y", "g + 5", "g + 7"], ["g", "j + 3", "j + 10"], ["j", "r + 3", "r + 13"], ["r", "s + 13", "s + 26"], ["s", "h + 14", "h + 40"], ["h", 19, "59"]], "target_var_name": "z", "target_value": 59, "value_dict": {"h": 19}, "is_reverse": true}} | 7,707 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = e + 17; e = i + 7; x = w + 12; i = m + 6; m = x + 18; g = j + 3; w = h + 14; y = g + 5; s = h + 14; j = r + 3; h = 19; r = s + 13; z = y + 2. If h = 19, 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 y = g + 5 to z, which gives z = g + 7.\n2. Substitute g = j + 3 to z, which gives z = j + 10.\n3. Substitute j = r + 3 to z, which gives z = r + 13.\n4. Substitute r = s + 13 to z, which gives z = s + 26.\n5. Substitute s = h + 14 to z, which gives z = h + 40.\n6. Substitute h = 19 to z, which gives z = 59.\n\nThus, the final answer is z = \\boxed{59}.",
"index": 7707,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = e + 17; e = i + 7; x = w + 12; i = m + 6; m = x + 18; g = j + 3; w = h + 14; y = g + 5; s = h + 14; j = r + 3; h = 19; r = s + 13; z = y + 2. If h = 19, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"k": "a + 20", "q": "k + 16", "z": "q + 17", "d": "z + 16", "i": "d + 11", "x": "i + 5", "j": "a + 13", "e": "j + 3", "s": "e + 13", "u": "s + 6", "v": "u + 16", "r": "v + 2", "a": 1}, "premises": {"a": 1}, "target": "x"}, "answer": {"steps": [["i", "d + 11", "d + 16"], ["d", "z + 16", "z + 32"], ["z", "q + 17", "q + 49"], ["q", "k + 16", "k + 65"], ["k", "a + 20", "a + 85"], ["a", 1, "86"]], "target_var_name": "x", "target_value": 86, "value_dict": {"a": 1}, "is_reverse": true}} | 7,708 | 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 = z + 16; e = j + 3; v = u + 16; i = d + 11; r = v + 2; x = i + 5; u = s + 6; j = a + 13; a = 1; q = k + 16; s = e + 13; k = a + 20; z = q + 17. If a = 1, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = d + 11 to x, which gives x = d + 16.\n2. Substitute d = z + 16 to x, which gives x = z + 32.\n3. Substitute z = q + 17 to x, which gives x = q + 49.\n4. Substitute q = k + 16 to x, which gives x = k + 65.\n5. Substitute k = a + 20 to x, which gives x = a + 85.\n6. Substitute a = 1 to x, which gives x = 86.\n\nThus, the final answer is x = \\boxed{86}.",
"index": 7708,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = z + 16; e = j + 3; v = u + 16; i = d + 11; r = v + 2; x = i + 5; u = s + 6; j = a + 13; a = 1; q = k + 16; s = e + 13; k = a + 20; z = q + 17. If a = 1, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"z": "f + 8", "h": "z + 12", "r": "h + 18", "q": "r + 1", "v": "q + 5", "d": "v + 12", "g": "f + 6", "o": "g + 1", "u": "o + 17", "b": "u + 14", "i": "b + 10", "e": "i + 1", "f": 12}, "premises": {"f": 12}, "target": "d"}, "answer": {"steps": [["v", "q + 5", "q + 17"], ["q", "r + 1", "r + 18"], ["r", "h + 18", "h + 36"], ["h", "z + 12", "z + 48"], ["z", "f + 8", "f + 56"], ["f", 12, "68"]], "target_var_name": "d", "target_value": 68, "value_dict": {"f": 12}, "is_reverse": true}} | 7,709 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = g + 1; b = u + 14; z = f + 8; h = z + 12; f = 12; u = o + 17; v = q + 5; g = f + 6; e = i + 1; d = v + 12; q = r + 1; r = h + 18; i = b + 10. Given that f = 12, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = q + 5 to d, which gives d = q + 17.\n2. Substitute q = r + 1 to d, which gives d = r + 18.\n3. Substitute r = h + 18 to d, which gives d = h + 36.\n4. Substitute h = z + 12 to d, which gives d = z + 48.\n5. Substitute z = f + 8 to d, which gives d = f + 56.\n6. Substitute f = 12 to d, which gives d = 68.\n\nThus, the final answer is d = \\boxed{68}.",
"index": 7709,
"question": "Suppose a collection of variables is related by the following definitions: o = g + 1; b = u + 14; z = f + 8; h = z + 12; f = 12; u = o + 17; v = q + 5; g = f + 6; e = i + 1; d = v + 12; q = r + 1; r = h + 18; i = b + 10. Given that f = 12, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"v": "t + 8", "h": "v + 15", "j": "h + 7", "s": "j + 1", "d": "s + 2", "u": "d + 15", "c": "t + 7", "f": "c + 14", "y": "f + 9", "m": "y + 19", "o": "m + 20", "n": "o + 11", "t": 19}, "premises": {"t": 19}, "target": "u"}, "answer": {"steps": [["d", "s + 2", "s + 17"], ["s", "j + 1", "j + 18"], ["j", "h + 7", "h + 25"], ["h", "v + 15", "v + 40"], ["v", "t + 8", "t + 48"], ["t", 19, "67"]], "target_var_name": "u", "target_value": 67, "value_dict": {"t": 19}, "is_reverse": true}} | 7,710 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = f + 9; n = o + 11; f = c + 14; m = y + 19; d = s + 2; j = h + 7; u = d + 15; v = t + 8; s = j + 1; h = v + 15; t = 19; c = t + 7; o = m + 20. Given that t = 19, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = s + 2 to u, which gives u = s + 17.\n2. Substitute s = j + 1 to u, which gives u = j + 18.\n3. Substitute j = h + 7 to u, which gives u = h + 25.\n4. Substitute h = v + 15 to u, which gives u = v + 40.\n5. Substitute v = t + 8 to u, which gives u = t + 48.\n6. Substitute t = 19 to u, which gives u = 67.\n\nThus, the final answer is u = \\boxed{67}.",
"index": 7710,
"question": "Suppose a collection of variables is related by the following definitions: y = f + 9; n = o + 11; f = c + 14; m = y + 19; d = s + 2; j = h + 7; u = d + 15; v = t + 8; s = j + 1; h = v + 15; t = 19; c = t + 7; o = m + 20. Given that t = 19, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"l": "c + 16", "v": "l + 5", "h": "v + 11", "t": "h + 13", "z": "t + 16", "f": "z + 17", "j": "c + 11", "g": "j + 8", "m": "g + 7", "k": "m + 3", "x": "k + 1", "u": "x + 18", "c": 11}, "premises": {"c": 11}, "target": "f"}, "answer": {"steps": [["z", "t + 16", "t + 33"], ["t", "h + 13", "h + 46"], ["h", "v + 11", "v + 57"], ["v", "l + 5", "l + 62"], ["l", "c + 16", "c + 78"], ["c", 11, "89"]], "target_var_name": "f", "target_value": 89, "value_dict": {"c": 11}, "is_reverse": true}} | 7,711 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = x + 18; t = h + 13; c = 11; k = m + 3; f = z + 17; g = j + 8; h = v + 11; m = g + 7; z = t + 16; v = l + 5; j = c + 11; x = k + 1; l = c + 16. Given that c = 11, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = t + 16 to f, which gives f = t + 33.\n2. Substitute t = h + 13 to f, which gives f = h + 46.\n3. Substitute h = v + 11 to f, which gives f = v + 57.\n4. Substitute v = l + 5 to f, which gives f = l + 62.\n5. Substitute l = c + 16 to f, which gives f = c + 78.\n6. Substitute c = 11 to f, which gives f = 89.\n\nThus, the final answer is f = \\boxed{89}.",
"index": 7711,
"question": "Suppose a collection of variables is related by the following definitions: u = x + 18; t = h + 13; c = 11; k = m + 3; f = z + 17; g = j + 8; h = v + 11; m = g + 7; z = t + 16; v = l + 5; j = c + 11; x = k + 1; l = c + 16. Given that c = 11, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"p": "a + 10", "v": "p + 5", "s": "v + 2", "f": "s + 6", "u": "f + 20", "q": "u + 6", "m": "a + 14", "i": "m + 13", "j": "i + 11", "c": "j + 1", "k": "c + 3", "w": "k + 19", "a": 2}, "premises": {"a": 2}, "target": "q"}, "answer": {"steps": [["u", "f + 20", "f + 26"], ["f", "s + 6", "s + 32"], ["s", "v + 2", "v + 34"], ["v", "p + 5", "p + 39"], ["p", "a + 10", "a + 49"], ["a", 2, "51"]], "target_var_name": "q", "target_value": 51, "value_dict": {"a": 2}, "is_reverse": true}} | 7,712 | 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 = f + 20; m = a + 14; j = i + 11; w = k + 19; k = c + 3; c = j + 1; q = u + 6; f = s + 6; i = m + 13; a = 2; v = p + 5; p = a + 10; s = v + 2. If a = 2, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = f + 20 to q, which gives q = f + 26.\n2. Substitute f = s + 6 to q, which gives q = s + 32.\n3. Substitute s = v + 2 to q, which gives q = v + 34.\n4. Substitute v = p + 5 to q, which gives q = p + 39.\n5. Substitute p = a + 10 to q, which gives q = a + 49.\n6. Substitute a = 2 to q, which gives q = 51.\n\nThus, the final answer is q = \\boxed{51}.",
"index": 7712,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = f + 20; m = a + 14; j = i + 11; w = k + 19; k = c + 3; c = j + 1; q = u + 6; f = s + 6; i = m + 13; a = 2; v = p + 5; p = a + 10; s = v + 2. If a = 2, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"k": "a + 6", "t": "k + 6", "o": "t + 4", "p": "o + 18", "s": "p + 8", "h": "s + 3", "f": "a + 5", "q": "f + 5", "d": "q + 16", "e": "d + 13", "l": "e + 6", "v": "l + 19", "a": 7}, "premises": {"a": 7}, "target": "h"}, "answer": {"steps": [["s", "p + 8", "p + 11"], ["p", "o + 18", "o + 29"], ["o", "t + 4", "t + 33"], ["t", "k + 6", "k + 39"], ["k", "a + 6", "a + 45"], ["a", 7, "52"]], "target_var_name": "h", "target_value": 52, "value_dict": {"a": 7}, "is_reverse": true}} | 7,713 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = a + 5; k = a + 6; p = o + 18; v = l + 19; o = t + 4; t = k + 6; l = e + 6; d = q + 16; q = f + 5; e = d + 13; s = p + 8; a = 7; h = s + 3. If a = 7, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = p + 8 to h, which gives h = p + 11.\n2. Substitute p = o + 18 to h, which gives h = o + 29.\n3. Substitute o = t + 4 to h, which gives h = t + 33.\n4. Substitute t = k + 6 to h, which gives h = k + 39.\n5. Substitute k = a + 6 to h, which gives h = a + 45.\n6. Substitute a = 7 to h, which gives h = 52.\n\nThus, the final answer is h = \\boxed{52}.",
"index": 7713,
"question": "Consider a system of variables where each variable is defined as follows: f = a + 5; k = a + 6; p = o + 18; v = l + 19; o = t + 4; t = k + 6; l = e + 6; d = q + 16; q = f + 5; e = d + 13; s = p + 8; a = 7; h = s + 3. If a = 7, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"m": "x + 8", "t": "m + 20", "d": "t + 12", "w": "d + 5", "g": "w + 14", "k": "g + 20", "l": "x + 10", "r": "l + 3", "e": "r + 4", "y": "e + 7", "z": "y + 12", "a": "z + 5", "x": 9}, "premises": {"x": 9}, "target": "k"}, "answer": {"steps": [["g", "w + 14", "w + 34"], ["w", "d + 5", "d + 39"], ["d", "t + 12", "t + 51"], ["t", "m + 20", "m + 71"], ["m", "x + 8", "x + 79"], ["x", 9, "88"]], "target_var_name": "k", "target_value": 88, "value_dict": {"x": 9}, "is_reverse": true}} | 7,714 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = e + 7; z = y + 12; t = m + 20; g = w + 14; r = l + 3; l = x + 10; a = z + 5; x = 9; m = x + 8; w = d + 5; k = g + 20; e = r + 4; d = t + 12. If x = 9, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = w + 14 to k, which gives k = w + 34.\n2. Substitute w = d + 5 to k, which gives k = d + 39.\n3. Substitute d = t + 12 to k, which gives k = t + 51.\n4. Substitute t = m + 20 to k, which gives k = m + 71.\n5. Substitute m = x + 8 to k, which gives k = x + 79.\n6. Substitute x = 9 to k, which gives k = 88.\n\nThus, the final answer is k = \\boxed{88}.",
"index": 7714,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = e + 7; z = y + 12; t = m + 20; g = w + 14; r = l + 3; l = x + 10; a = z + 5; x = 9; m = x + 8; w = d + 5; k = g + 20; e = r + 4; d = t + 12. If x = 9, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"u": "r + 12", "d": "u + 16", "j": "d + 18", "i": "j + 18", "g": "i + 8", "o": "g + 11", "z": "r + 16", "p": "z + 4", "c": "p + 1", "v": "c + 18", "k": "v + 14", "a": "k + 14", "r": 13}, "premises": {"r": 13}, "target": "o"}, "answer": {"steps": [["g", "i + 8", "i + 19"], ["i", "j + 18", "j + 37"], ["j", "d + 18", "d + 55"], ["d", "u + 16", "u + 71"], ["u", "r + 12", "r + 83"], ["r", 13, "96"]], "target_var_name": "o", "target_value": 96, "value_dict": {"r": 13}, "is_reverse": true}} | 7,715 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = u + 16; j = d + 18; c = p + 1; z = r + 16; o = g + 11; v = c + 18; r = 13; p = z + 4; i = j + 18; g = i + 8; u = r + 12; a = k + 14; k = v + 14. If r = 13, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = i + 8 to o, which gives o = i + 19.\n2. Substitute i = j + 18 to o, which gives o = j + 37.\n3. Substitute j = d + 18 to o, which gives o = d + 55.\n4. Substitute d = u + 16 to o, which gives o = u + 71.\n5. Substitute u = r + 12 to o, which gives o = r + 83.\n6. Substitute r = 13 to o, which gives o = 96.\n\nThus, the final answer is o = \\boxed{96}.",
"index": 7715,
"question": "Consider a system of variables where each variable is defined as follows: d = u + 16; j = d + 18; c = p + 1; z = r + 16; o = g + 11; v = c + 18; r = 13; p = z + 4; i = j + 18; g = i + 8; u = r + 12; a = k + 14; k = v + 14. If r = 13, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"q": "e + 1", "h": "q + 12", "c": "h + 6", "x": "c + 15", "s": "x + 10", "o": "s + 16", "n": "e + 12", "w": "n + 19", "g": "w + 8", "b": "g + 10", "v": "b + 5", "p": "v + 2", "e": 4}, "premises": {"e": 4}, "target": "o"}, "answer": {"steps": [["s", "x + 10", "x + 26"], ["x", "c + 15", "c + 41"], ["c", "h + 6", "h + 47"], ["h", "q + 12", "q + 59"], ["q", "e + 1", "e + 60"], ["e", 4, "64"]], "target_var_name": "o", "target_value": 64, "value_dict": {"e": 4}, "is_reverse": true}} | 7,716 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = x + 10; e = 4; h = q + 12; x = c + 15; c = h + 6; q = e + 1; p = v + 2; v = b + 5; b = g + 10; g = w + 8; o = s + 16; n = e + 12; w = n + 19. Given that e = 4, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = x + 10 to o, which gives o = x + 26.\n2. Substitute x = c + 15 to o, which gives o = c + 41.\n3. Substitute c = h + 6 to o, which gives o = h + 47.\n4. Substitute h = q + 12 to o, which gives o = q + 59.\n5. Substitute q = e + 1 to o, which gives o = e + 60.\n6. Substitute e = 4 to o, which gives o = 64.\n\nThus, the final answer is o = \\boxed{64}.",
"index": 7716,
"question": "Suppose a collection of variables is related by the following definitions: s = x + 10; e = 4; h = q + 12; x = c + 15; c = h + 6; q = e + 1; p = v + 2; v = b + 5; b = g + 10; g = w + 8; o = s + 16; n = e + 12; w = n + 19. Given that e = 4, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"z": "p + 13", "d": "z + 2", "l": "d + 16", "x": "l + 17", "n": "x + 20", "r": "n + 11", "o": "p + 20", "k": "o + 2", "t": "k + 6", "c": "t + 11", "u": "c + 13", "q": "u + 14", "p": 5}, "premises": {"p": 5}, "target": "r"}, "answer": {"steps": [["n", "x + 20", "x + 31"], ["x", "l + 17", "l + 48"], ["l", "d + 16", "d + 64"], ["d", "z + 2", "z + 66"], ["z", "p + 13", "p + 79"], ["p", 5, "84"]], "target_var_name": "r", "target_value": 84, "value_dict": {"p": 5}, "is_reverse": true}} | 7,717 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = l + 17; k = o + 2; p = 5; z = p + 13; l = d + 16; t = k + 6; n = x + 20; c = t + 11; q = u + 14; d = z + 2; r = n + 11; o = p + 20; u = c + 13. If p = 5, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = x + 20 to r, which gives r = x + 31.\n2. Substitute x = l + 17 to r, which gives r = l + 48.\n3. Substitute l = d + 16 to r, which gives r = d + 64.\n4. Substitute d = z + 2 to r, which gives r = z + 66.\n5. Substitute z = p + 13 to r, which gives r = p + 79.\n6. Substitute p = 5 to r, which gives r = 84.\n\nThus, the final answer is r = \\boxed{84}.",
"index": 7717,
"question": "Consider a system of variables where each variable is defined as follows: x = l + 17; k = o + 2; p = 5; z = p + 13; l = d + 16; t = k + 6; n = x + 20; c = t + 11; q = u + 14; d = z + 2; r = n + 11; o = p + 20; u = c + 13. If p = 5, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"i": "f + 10", "l": "i + 11", "a": "l + 7", "b": "a + 5", "z": "b + 19", "w": "z + 19", "g": "f + 9", "j": "g + 19", "t": "j + 8", "s": "t + 20", "p": "s + 1", "n": "p + 17", "f": 11}, "premises": {"f": 11}, "target": "w"}, "answer": {"steps": [["z", "b + 19", "b + 38"], ["b", "a + 5", "a + 43"], ["a", "l + 7", "l + 50"], ["l", "i + 11", "i + 61"], ["i", "f + 10", "f + 71"], ["f", 11, "82"]], "target_var_name": "w", "target_value": 82, "value_dict": {"f": 11}, "is_reverse": true}} | 7,718 | 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 = 11; i = f + 10; l = i + 11; n = p + 17; a = l + 7; p = s + 1; w = z + 19; t = j + 8; s = t + 20; j = g + 19; g = f + 9; z = b + 19; b = a + 5. If f = 11, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = b + 19 to w, which gives w = b + 38.\n2. Substitute b = a + 5 to w, which gives w = a + 43.\n3. Substitute a = l + 7 to w, which gives w = l + 50.\n4. Substitute l = i + 11 to w, which gives w = i + 61.\n5. Substitute i = f + 10 to w, which gives w = f + 71.\n6. Substitute f = 11 to w, which gives w = 82.\n\nThus, the final answer is w = \\boxed{82}.",
"index": 7718,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = 11; i = f + 10; l = i + 11; n = p + 17; a = l + 7; p = s + 1; w = z + 19; t = j + 8; s = t + 20; j = g + 19; g = f + 9; z = b + 19; b = a + 5. If f = 11, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"v": "n + 4", "g": "v + 15", "c": "g + 20", "t": "c + 18", "y": "t + 16", "a": "y + 13", "i": "n + 6", "w": "i + 3", "x": "w + 6", "f": "x + 6", "j": "f + 17", "o": "j + 7", "n": 10}, "premises": {"n": 10}, "target": "a"}, "answer": {"steps": [["y", "t + 16", "t + 29"], ["t", "c + 18", "c + 47"], ["c", "g + 20", "g + 67"], ["g", "v + 15", "v + 82"], ["v", "n + 4", "n + 86"], ["n", 10, "96"]], "target_var_name": "a", "target_value": 96, "value_dict": {"n": 10}, "is_reverse": true}} | 7,719 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = x + 6; j = f + 17; x = w + 6; y = t + 16; g = v + 15; w = i + 3; c = g + 20; o = j + 7; v = n + 4; a = y + 13; t = c + 18; i = n + 6; n = 10. Given that n = 10, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = t + 16 to a, which gives a = t + 29.\n2. Substitute t = c + 18 to a, which gives a = c + 47.\n3. Substitute c = g + 20 to a, which gives a = g + 67.\n4. Substitute g = v + 15 to a, which gives a = v + 82.\n5. Substitute v = n + 4 to a, which gives a = n + 86.\n6. Substitute n = 10 to a, which gives a = 96.\n\nThus, the final answer is a = \\boxed{96}.",
"index": 7719,
"question": "Suppose a collection of variables is related by the following definitions: f = x + 6; j = f + 17; x = w + 6; y = t + 16; g = v + 15; w = i + 3; c = g + 20; o = j + 7; v = n + 4; a = y + 13; t = c + 18; i = n + 6; n = 10. Given that n = 10, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"b": "k + 20", "z": "b + 6", "f": "z + 5", "l": "f + 17", "v": "l + 16", "x": "v + 4", "o": "k + 11", "j": "o + 1", "g": "j + 2", "t": "g + 1", "s": "t + 4", "i": "s + 3", "k": 19}, "premises": {"k": 19}, "target": "x"}, "answer": {"steps": [["v", "l + 16", "l + 20"], ["l", "f + 17", "f + 37"], ["f", "z + 5", "z + 42"], ["z", "b + 6", "b + 48"], ["b", "k + 20", "k + 68"], ["k", 19, "87"]], "target_var_name": "x", "target_value": 87, "value_dict": {"k": 19}, "is_reverse": true}} | 7,720 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = k + 20; v = l + 16; j = o + 1; k = 19; f = z + 5; z = b + 6; l = f + 17; o = k + 11; i = s + 3; t = g + 1; g = j + 2; x = v + 4; s = t + 4. If k = 19, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = l + 16 to x, which gives x = l + 20.\n2. Substitute l = f + 17 to x, which gives x = f + 37.\n3. Substitute f = z + 5 to x, which gives x = z + 42.\n4. Substitute z = b + 6 to x, which gives x = b + 48.\n5. Substitute b = k + 20 to x, which gives x = k + 68.\n6. Substitute k = 19 to x, which gives x = 87.\n\nThus, the final answer is x = \\boxed{87}.",
"index": 7720,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = k + 20; v = l + 16; j = o + 1; k = 19; f = z + 5; z = b + 6; l = f + 17; o = k + 11; i = s + 3; t = g + 1; g = j + 2; x = v + 4; s = t + 4. If k = 19, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"l": "p + 14", "c": "l + 6", "t": "c + 20", "q": "t + 10", "n": "q + 17", "j": "n + 2", "d": "p + 20", "u": "d + 9", "a": "u + 19", "b": "a + 14", "k": "b + 18", "h": "k + 18", "p": 3}, "premises": {"p": 3}, "target": "j"}, "answer": {"steps": [["n", "q + 17", "q + 19"], ["q", "t + 10", "t + 29"], ["t", "c + 20", "c + 49"], ["c", "l + 6", "l + 55"], ["l", "p + 14", "p + 69"], ["p", 3, "72"]], "target_var_name": "j", "target_value": 72, "value_dict": {"p": 3}, "is_reverse": true}} | 7,721 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = n + 2; d = p + 20; q = t + 10; k = b + 18; p = 3; u = d + 9; t = c + 20; a = u + 19; b = a + 14; l = p + 14; n = q + 17; h = k + 18; c = l + 6. If p = 3, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = q + 17 to j, which gives j = q + 19.\n2. Substitute q = t + 10 to j, which gives j = t + 29.\n3. Substitute t = c + 20 to j, which gives j = c + 49.\n4. Substitute c = l + 6 to j, which gives j = l + 55.\n5. Substitute l = p + 14 to j, which gives j = p + 69.\n6. Substitute p = 3 to j, which gives j = 72.\n\nThus, the final answer is j = \\boxed{72}.",
"index": 7721,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = n + 2; d = p + 20; q = t + 10; k = b + 18; p = 3; u = d + 9; t = c + 20; a = u + 19; b = a + 14; l = p + 14; n = q + 17; h = k + 18; c = l + 6. If p = 3, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"k": "t + 7", "q": "k + 1", "i": "q + 19", "e": "i + 8", "y": "e + 19", "u": "y + 11", "c": "t + 19", "f": "c + 13", "v": "f + 8", "d": "v + 4", "x": "d + 19", "b": "x + 1", "t": 6}, "premises": {"t": 6}, "target": "u"}, "answer": {"steps": [["y", "e + 19", "e + 30"], ["e", "i + 8", "i + 38"], ["i", "q + 19", "q + 57"], ["q", "k + 1", "k + 58"], ["k", "t + 7", "t + 65"], ["t", 6, "71"]], "target_var_name": "u", "target_value": 71, "value_dict": {"t": 6}, "is_reverse": true}} | 7,722 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = c + 13; c = t + 19; i = q + 19; u = y + 11; k = t + 7; t = 6; d = v + 4; x = d + 19; v = f + 8; e = i + 8; y = e + 19; q = k + 1; b = x + 1. Given that t = 6, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = e + 19 to u, which gives u = e + 30.\n2. Substitute e = i + 8 to u, which gives u = i + 38.\n3. Substitute i = q + 19 to u, which gives u = q + 57.\n4. Substitute q = k + 1 to u, which gives u = k + 58.\n5. Substitute k = t + 7 to u, which gives u = t + 65.\n6. Substitute t = 6 to u, which gives u = 71.\n\nThus, the final answer is u = \\boxed{71}.",
"index": 7722,
"question": "Suppose a collection of variables is related by the following definitions: f = c + 13; c = t + 19; i = q + 19; u = y + 11; k = t + 7; t = 6; d = v + 4; x = d + 19; v = f + 8; e = i + 8; y = e + 19; q = k + 1; b = x + 1. Given that t = 6, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"z": "x + 7", "d": "z + 15", "t": "d + 7", "y": "t + 11", "n": "y + 12", "k": "n + 4", "r": "x + 4", "a": "r + 18", "s": "a + 20", "w": "s + 8", "o": "w + 20", "g": "o + 3", "x": 20}, "premises": {"x": 20}, "target": "k"}, "answer": {"steps": [["n", "y + 12", "y + 16"], ["y", "t + 11", "t + 27"], ["t", "d + 7", "d + 34"], ["d", "z + 15", "z + 49"], ["z", "x + 7", "x + 56"], ["x", 20, "76"]], "target_var_name": "k", "target_value": 76, "value_dict": {"x": 20}, "is_reverse": true}} | 7,723 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = a + 20; a = r + 18; t = d + 7; y = t + 11; d = z + 15; g = o + 3; o = w + 20; w = s + 8; k = n + 4; n = y + 12; r = x + 4; x = 20; z = x + 7. If x = 20, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = y + 12 to k, which gives k = y + 16.\n2. Substitute y = t + 11 to k, which gives k = t + 27.\n3. Substitute t = d + 7 to k, which gives k = d + 34.\n4. Substitute d = z + 15 to k, which gives k = z + 49.\n5. Substitute z = x + 7 to k, which gives k = x + 56.\n6. Substitute x = 20 to k, which gives k = 76.\n\nThus, the final answer is k = \\boxed{76}.",
"index": 7723,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = a + 20; a = r + 18; t = d + 7; y = t + 11; d = z + 15; g = o + 3; o = w + 20; w = s + 8; k = n + 4; n = y + 12; r = x + 4; x = 20; z = x + 7. If x = 20, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"b": "x + 16", "g": "b + 13", "c": "g + 20", "z": "c + 1", "t": "z + 20", "k": "t + 11", "j": "x + 4", "a": "j + 4", "w": "a + 5", "o": "w + 8", "l": "o + 15", "d": "l + 19", "x": 16}, "premises": {"x": 16}, "target": "k"}, "answer": {"steps": [["t", "z + 20", "z + 31"], ["z", "c + 1", "c + 32"], ["c", "g + 20", "g + 52"], ["g", "b + 13", "b + 65"], ["b", "x + 16", "x + 81"], ["x", 16, "97"]], "target_var_name": "k", "target_value": 97, "value_dict": {"x": 16}, "is_reverse": true}} | 7,724 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = o + 15; k = t + 11; c = g + 20; x = 16; a = j + 4; o = w + 8; g = b + 13; j = x + 4; t = z + 20; w = a + 5; b = x + 16; d = l + 19; z = c + 1. If x = 16, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = z + 20 to k, which gives k = z + 31.\n2. Substitute z = c + 1 to k, which gives k = c + 32.\n3. Substitute c = g + 20 to k, which gives k = g + 52.\n4. Substitute g = b + 13 to k, which gives k = b + 65.\n5. Substitute b = x + 16 to k, which gives k = x + 81.\n6. Substitute x = 16 to k, which gives k = 97.\n\nThus, the final answer is k = \\boxed{97}.",
"index": 7724,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = o + 15; k = t + 11; c = g + 20; x = 16; a = j + 4; o = w + 8; g = b + 13; j = x + 4; t = z + 20; w = a + 5; b = x + 16; d = l + 19; z = c + 1. If x = 16, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"l": "f + 20", "j": "l + 8", "k": "j + 16", "t": "k + 2", "n": "t + 20", "y": "n + 12", "x": "f + 4", "g": "x + 5", "q": "g + 9", "r": "q + 16", "c": "r + 7", "b": "c + 2", "f": 15}, "premises": {"f": 15}, "target": "y"}, "answer": {"steps": [["n", "t + 20", "t + 32"], ["t", "k + 2", "k + 34"], ["k", "j + 16", "j + 50"], ["j", "l + 8", "l + 58"], ["l", "f + 20", "f + 78"], ["f", 15, "93"]], "target_var_name": "y", "target_value": 93, "value_dict": {"f": 15}, "is_reverse": true}} | 7,725 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = l + 8; c = r + 7; t = k + 2; r = q + 16; k = j + 16; y = n + 12; n = t + 20; x = f + 4; l = f + 20; g = x + 5; q = g + 9; b = c + 2; f = 15. Given that f = 15, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = t + 20 to y, which gives y = t + 32.\n2. Substitute t = k + 2 to y, which gives y = k + 34.\n3. Substitute k = j + 16 to y, which gives y = j + 50.\n4. Substitute j = l + 8 to y, which gives y = l + 58.\n5. Substitute l = f + 20 to y, which gives y = f + 78.\n6. Substitute f = 15 to y, which gives y = 93.\n\nThus, the final answer is y = \\boxed{93}.",
"index": 7725,
"question": "Suppose a collection of variables is related by the following definitions: j = l + 8; c = r + 7; t = k + 2; r = q + 16; k = j + 16; y = n + 12; n = t + 20; x = f + 4; l = f + 20; g = x + 5; q = g + 9; b = c + 2; f = 15. Given that f = 15, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"m": "t + 3", "o": "m + 7", "p": "o + 11", "b": "p + 4", "q": "b + 20", "n": "q + 9", "g": "t + 7", "x": "g + 3", "l": "x + 1", "r": "l + 3", "i": "r + 12", "h": "i + 13", "t": 11}, "premises": {"t": 11}, "target": "n"}, "answer": {"steps": [["q", "b + 20", "b + 29"], ["b", "p + 4", "p + 33"], ["p", "o + 11", "o + 44"], ["o", "m + 7", "m + 51"], ["m", "t + 3", "t + 54"], ["t", 11, "65"]], "target_var_name": "n", "target_value": 65, "value_dict": {"t": 11}, "is_reverse": true}} | 7,726 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = 11; n = q + 9; q = b + 20; b = p + 4; p = o + 11; r = l + 3; g = t + 7; x = g + 3; l = x + 1; o = m + 7; m = t + 3; i = r + 12; h = i + 13. If t = 11, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = b + 20 to n, which gives n = b + 29.\n2. Substitute b = p + 4 to n, which gives n = p + 33.\n3. Substitute p = o + 11 to n, which gives n = o + 44.\n4. Substitute o = m + 7 to n, which gives n = m + 51.\n5. Substitute m = t + 3 to n, which gives n = t + 54.\n6. Substitute t = 11 to n, which gives n = 65.\n\nThus, the final answer is n = \\boxed{65}.",
"index": 7726,
"question": "Consider a system of variables where each variable is defined as follows: t = 11; n = q + 9; q = b + 20; b = p + 4; p = o + 11; r = l + 3; g = t + 7; x = g + 3; l = x + 1; o = m + 7; m = t + 3; i = r + 12; h = i + 13. If t = 11, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"m": "d + 8", "g": "m + 2", "a": "g + 9", "p": "a + 8", "n": "p + 13", "o": "n + 6", "l": "d + 1", "u": "l + 20", "r": "u + 2", "y": "r + 10", "b": "y + 14", "f": "b + 2", "d": 16}, "premises": {"d": 16}, "target": "o"}, "answer": {"steps": [["n", "p + 13", "p + 19"], ["p", "a + 8", "a + 27"], ["a", "g + 9", "g + 36"], ["g", "m + 2", "m + 38"], ["m", "d + 8", "d + 46"], ["d", 16, "62"]], "target_var_name": "o", "target_value": 62, "value_dict": {"d": 16}, "is_reverse": true}} | 7,727 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = b + 2; m = d + 8; n = p + 13; l = d + 1; o = n + 6; d = 16; p = a + 8; a = g + 9; u = l + 20; b = y + 14; g = m + 2; r = u + 2; y = r + 10. If d = 16, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = p + 13 to o, which gives o = p + 19.\n2. Substitute p = a + 8 to o, which gives o = a + 27.\n3. Substitute a = g + 9 to o, which gives o = g + 36.\n4. Substitute g = m + 2 to o, which gives o = m + 38.\n5. Substitute m = d + 8 to o, which gives o = d + 46.\n6. Substitute d = 16 to o, which gives o = 62.\n\nThus, the final answer is o = \\boxed{62}.",
"index": 7727,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = b + 2; m = d + 8; n = p + 13; l = d + 1; o = n + 6; d = 16; p = a + 8; a = g + 9; u = l + 20; b = y + 14; g = m + 2; r = u + 2; y = r + 10. If d = 16, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"m": "h + 4", "u": "m + 8", "d": "u + 20", "e": "d + 8", "a": "e + 3", "c": "a + 13", "g": "h + 9", "v": "g + 6", "n": "v + 18", "x": "n + 7", "q": "x + 13", "z": "q + 5", "h": 9}, "premises": {"h": 9}, "target": "c"}, "answer": {"steps": [["a", "e + 3", "e + 16"], ["e", "d + 8", "d + 24"], ["d", "u + 20", "u + 44"], ["u", "m + 8", "m + 52"], ["m", "h + 4", "h + 56"], ["h", 9, "65"]], "target_var_name": "c", "target_value": 65, "value_dict": {"h": 9}, "is_reverse": true}} | 7,728 | 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 = 9; z = q + 5; g = h + 9; m = h + 4; a = e + 3; v = g + 6; x = n + 7; n = v + 18; q = x + 13; c = a + 13; u = m + 8; e = d + 8; d = u + 20. If h = 9, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = e + 3 to c, which gives c = e + 16.\n2. Substitute e = d + 8 to c, which gives c = d + 24.\n3. Substitute d = u + 20 to c, which gives c = u + 44.\n4. Substitute u = m + 8 to c, which gives c = m + 52.\n5. Substitute m = h + 4 to c, which gives c = h + 56.\n6. Substitute h = 9 to c, which gives c = 65.\n\nThus, the final answer is c = \\boxed{65}.",
"index": 7728,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = 9; z = q + 5; g = h + 9; m = h + 4; a = e + 3; v = g + 6; x = n + 7; n = v + 18; q = x + 13; c = a + 13; u = m + 8; e = d + 8; d = u + 20. If h = 9, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"k": "c + 18", "p": "k + 2", "r": "p + 6", "z": "r + 17", "v": "z + 11", "y": "v + 2", "o": "c + 16", "q": "o + 1", "f": "q + 19", "b": "f + 13", "t": "b + 16", "l": "t + 6", "c": 6}, "premises": {"c": 6}, "target": "y"}, "answer": {"steps": [["v", "z + 11", "z + 13"], ["z", "r + 17", "r + 30"], ["r", "p + 6", "p + 36"], ["p", "k + 2", "k + 38"], ["k", "c + 18", "c + 56"], ["c", 6, "62"]], "target_var_name": "y", "target_value": 62, "value_dict": {"c": 6}, "is_reverse": true}} | 7,729 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = r + 17; v = z + 11; y = v + 2; f = q + 19; k = c + 18; b = f + 13; o = c + 16; c = 6; l = t + 6; q = o + 1; t = b + 16; r = p + 6; p = k + 2. If c = 6, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = z + 11 to y, which gives y = z + 13.\n2. Substitute z = r + 17 to y, which gives y = r + 30.\n3. Substitute r = p + 6 to y, which gives y = p + 36.\n4. Substitute p = k + 2 to y, which gives y = k + 38.\n5. Substitute k = c + 18 to y, which gives y = c + 56.\n6. Substitute c = 6 to y, which gives y = 62.\n\nThus, the final answer is y = \\boxed{62}.",
"index": 7729,
"question": "Consider a system of variables where each variable is defined as follows: z = r + 17; v = z + 11; y = v + 2; f = q + 19; k = c + 18; b = f + 13; o = c + 16; c = 6; l = t + 6; q = o + 1; t = b + 16; r = p + 6; p = k + 2. If c = 6, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"b": "u + 20", "r": "b + 5", "h": "r + 10", "p": "h + 1", "w": "p + 12", "j": "w + 20", "y": "u + 12", "e": "y + 19", "d": "e + 13", "o": "d + 3", "a": "o + 12", "f": "a + 6", "u": 1}, "premises": {"u": 1}, "target": "j"}, "answer": {"steps": [["w", "p + 12", "p + 32"], ["p", "h + 1", "h + 33"], ["h", "r + 10", "r + 43"], ["r", "b + 5", "b + 48"], ["b", "u + 20", "u + 68"], ["u", 1, "69"]], "target_var_name": "j", "target_value": 69, "value_dict": {"u": 1}, "is_reverse": true}} | 7,730 | 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 = 1; b = u + 20; d = e + 13; h = r + 10; j = w + 20; e = y + 19; f = a + 6; w = p + 12; p = h + 1; r = b + 5; a = o + 12; o = d + 3; y = u + 12. If u = 1, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = p + 12 to j, which gives j = p + 32.\n2. Substitute p = h + 1 to j, which gives j = h + 33.\n3. Substitute h = r + 10 to j, which gives j = r + 43.\n4. Substitute r = b + 5 to j, which gives j = b + 48.\n5. Substitute b = u + 20 to j, which gives j = u + 68.\n6. Substitute u = 1 to j, which gives j = 69.\n\nThus, the final answer is j = \\boxed{69}.",
"index": 7730,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = 1; b = u + 20; d = e + 13; h = r + 10; j = w + 20; e = y + 19; f = a + 6; w = p + 12; p = h + 1; r = b + 5; a = o + 12; o = d + 3; y = u + 12. If u = 1, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"t": "u + 20", "i": "t + 17", "h": "i + 4", "z": "h + 4", "k": "z + 3", "f": "k + 18", "x": "u + 16", "v": "x + 16", "p": "v + 6", "l": "p + 14", "e": "l + 3", "s": "e + 18", "u": 8}, "premises": {"u": 8}, "target": "f"}, "answer": {"steps": [["k", "z + 3", "z + 21"], ["z", "h + 4", "h + 25"], ["h", "i + 4", "i + 29"], ["i", "t + 17", "t + 46"], ["t", "u + 20", "u + 66"], ["u", 8, "74"]], "target_var_name": "f", "target_value": 74, "value_dict": {"u": 8}, "is_reverse": true}} | 7,731 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = v + 6; k = z + 3; u = 8; v = x + 16; t = u + 20; e = l + 3; x = u + 16; l = p + 14; h = i + 4; s = e + 18; f = k + 18; i = t + 17; z = h + 4. If u = 8, 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 k = z + 3 to f, which gives f = z + 21.\n2. Substitute z = h + 4 to f, which gives f = h + 25.\n3. Substitute h = i + 4 to f, which gives f = i + 29.\n4. Substitute i = t + 17 to f, which gives f = t + 46.\n5. Substitute t = u + 20 to f, which gives f = u + 66.\n6. Substitute u = 8 to f, which gives f = 74.\n\nThus, the final answer is f = \\boxed{74}.",
"index": 7731,
"question": "Consider a system of variables where each variable is defined as follows: p = v + 6; k = z + 3; u = 8; v = x + 16; t = u + 20; e = l + 3; x = u + 16; l = p + 14; h = i + 4; s = e + 18; f = k + 18; i = t + 17; z = h + 4. If u = 8, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"b": "n + 11", "j": "b + 19", "i": "j + 14", "s": "i + 3", "z": "s + 14", "a": "z + 8", "h": "n + 10", "o": "h + 19", "p": "o + 1", "t": "p + 13", "d": "t + 2", "l": "d + 4", "n": 20}, "premises": {"n": 20}, "target": "a"}, "answer": {"steps": [["z", "s + 14", "s + 22"], ["s", "i + 3", "i + 25"], ["i", "j + 14", "j + 39"], ["j", "b + 19", "b + 58"], ["b", "n + 11", "n + 69"], ["n", 20, "89"]], "target_var_name": "a", "target_value": 89, "value_dict": {"n": 20}, "is_reverse": true}} | 7,732 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = s + 14; p = o + 1; d = t + 2; n = 20; s = i + 3; i = j + 14; h = n + 10; a = z + 8; b = n + 11; o = h + 19; l = d + 4; t = p + 13; j = b + 19. If n = 20, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = s + 14 to a, which gives a = s + 22.\n2. Substitute s = i + 3 to a, which gives a = i + 25.\n3. Substitute i = j + 14 to a, which gives a = j + 39.\n4. Substitute j = b + 19 to a, which gives a = b + 58.\n5. Substitute b = n + 11 to a, which gives a = n + 69.\n6. Substitute n = 20 to a, which gives a = 89.\n\nThus, the final answer is a = \\boxed{89}.",
"index": 7732,
"question": "Consider a system of variables where each variable is defined as follows: z = s + 14; p = o + 1; d = t + 2; n = 20; s = i + 3; i = j + 14; h = n + 10; a = z + 8; b = n + 11; o = h + 19; l = d + 4; t = p + 13; j = b + 19. If n = 20, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"w": "i + 11", "b": "w + 17", "t": "b + 6", "c": "t + 7", "s": "c + 17", "m": "s + 15", "n": "i + 11", "z": "n + 9", "l": "z + 18", "q": "l + 9", "f": "q + 18", "g": "f + 5", "i": 8}, "premises": {"i": 8}, "target": "m"}, "answer": {"steps": [["s", "c + 17", "c + 32"], ["c", "t + 7", "t + 39"], ["t", "b + 6", "b + 45"], ["b", "w + 17", "w + 62"], ["w", "i + 11", "i + 73"], ["i", 8, "81"]], "target_var_name": "m", "target_value": 81, "value_dict": {"i": 8}, "is_reverse": true}} | 7,733 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = n + 9; m = s + 15; g = f + 5; t = b + 6; c = t + 7; b = w + 17; n = i + 11; q = l + 9; w = i + 11; s = c + 17; f = q + 18; i = 8; l = z + 18. Given that i = 8, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = c + 17 to m, which gives m = c + 32.\n2. Substitute c = t + 7 to m, which gives m = t + 39.\n3. Substitute t = b + 6 to m, which gives m = b + 45.\n4. Substitute b = w + 17 to m, which gives m = w + 62.\n5. Substitute w = i + 11 to m, which gives m = i + 73.\n6. Substitute i = 8 to m, which gives m = 81.\n\nThus, the final answer is m = \\boxed{81}.",
"index": 7733,
"question": "Suppose a collection of variables is related by the following definitions: z = n + 9; m = s + 15; g = f + 5; t = b + 6; c = t + 7; b = w + 17; n = i + 11; q = l + 9; w = i + 11; s = c + 17; f = q + 18; i = 8; l = z + 18. Given that i = 8, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"v": "p + 14", "u": "v + 6", "f": "u + 10", "m": "f + 14", "a": "m + 8", "n": "a + 20", "k": "p + 18", "o": "k + 4", "q": "o + 19", "w": "q + 10", "l": "w + 9", "g": "l + 8", "p": 2}, "premises": {"p": 2}, "target": "n"}, "answer": {"steps": [["a", "m + 8", "m + 28"], ["m", "f + 14", "f + 42"], ["f", "u + 10", "u + 52"], ["u", "v + 6", "v + 58"], ["v", "p + 14", "p + 72"], ["p", 2, "74"]], "target_var_name": "n", "target_value": 74, "value_dict": {"p": 2}, "is_reverse": true}} | 7,734 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = m + 8; q = o + 19; k = p + 18; n = a + 20; f = u + 10; w = q + 10; g = l + 8; m = f + 14; o = k + 4; u = v + 6; p = 2; v = p + 14; l = w + 9. If p = 2, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = m + 8 to n, which gives n = m + 28.\n2. Substitute m = f + 14 to n, which gives n = f + 42.\n3. Substitute f = u + 10 to n, which gives n = u + 52.\n4. Substitute u = v + 6 to n, which gives n = v + 58.\n5. Substitute v = p + 14 to n, which gives n = p + 72.\n6. Substitute p = 2 to n, which gives n = 74.\n\nThus, the final answer is n = \\boxed{74}.",
"index": 7734,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = m + 8; q = o + 19; k = p + 18; n = a + 20; f = u + 10; w = q + 10; g = l + 8; m = f + 14; o = k + 4; u = v + 6; p = 2; v = p + 14; l = w + 9. If p = 2, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"h": "d + 16", "g": "h + 5", "v": "g + 20", "k": "v + 8", "c": "k + 10", "e": "c + 10", "o": "d + 10", "r": "o + 18", "z": "r + 10", "w": "z + 1", "y": "w + 7", "a": "y + 16", "d": 1}, "premises": {"d": 1}, "target": "e"}, "answer": {"steps": [["c", "k + 10", "k + 20"], ["k", "v + 8", "v + 28"], ["v", "g + 20", "g + 48"], ["g", "h + 5", "h + 53"], ["h", "d + 16", "d + 69"], ["d", 1, "70"]], "target_var_name": "e", "target_value": 70, "value_dict": {"d": 1}, "is_reverse": true}} | 7,735 | 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 + 1; y = w + 7; g = h + 5; c = k + 10; d = 1; h = d + 16; a = y + 16; r = o + 18; o = d + 10; e = c + 10; k = v + 8; z = r + 10; v = g + 20. If d = 1, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = k + 10 to e, which gives e = k + 20.\n2. Substitute k = v + 8 to e, which gives e = v + 28.\n3. Substitute v = g + 20 to e, which gives e = g + 48.\n4. Substitute g = h + 5 to e, which gives e = h + 53.\n5. Substitute h = d + 16 to e, which gives e = d + 69.\n6. Substitute d = 1 to e, which gives e = 70.\n\nThus, the final answer is e = \\boxed{70}.",
"index": 7735,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = z + 1; y = w + 7; g = h + 5; c = k + 10; d = 1; h = d + 16; a = y + 16; r = o + 18; o = d + 10; e = c + 10; k = v + 8; z = r + 10; v = g + 20. If d = 1, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"x": "y + 4", "v": "x + 2", "j": "v + 9", "o": "j + 11", "c": "o + 7", "i": "c + 3", "s": "y + 1", "k": "s + 15", "l": "k + 14", "w": "l + 13", "r": "w + 2", "n": "r + 19", "y": 1}, "premises": {"y": 1}, "target": "i"}, "answer": {"steps": [["c", "o + 7", "o + 10"], ["o", "j + 11", "j + 21"], ["j", "v + 9", "v + 30"], ["v", "x + 2", "x + 32"], ["x", "y + 4", "y + 36"], ["y", 1, "37"]], "target_var_name": "i", "target_value": 37, "value_dict": {"y": 1}, "is_reverse": true}} | 7,736 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = s + 15; o = j + 11; i = c + 3; c = o + 7; n = r + 19; w = l + 13; l = k + 14; y = 1; s = y + 1; x = y + 4; r = w + 2; j = v + 9; v = x + 2. Given that y = 1, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 37,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = o + 7 to i, which gives i = o + 10.\n2. Substitute o = j + 11 to i, which gives i = j + 21.\n3. Substitute j = v + 9 to i, which gives i = v + 30.\n4. Substitute v = x + 2 to i, which gives i = x + 32.\n5. Substitute x = y + 4 to i, which gives i = y + 36.\n6. Substitute y = 1 to i, which gives i = 37.\n\nThus, the final answer is i = \\boxed{37}.",
"index": 7736,
"question": "Suppose a collection of variables is related by the following definitions: k = s + 15; o = j + 11; i = c + 3; c = o + 7; n = r + 19; w = l + 13; l = k + 14; y = 1; s = y + 1; x = y + 4; r = w + 2; j = v + 9; v = x + 2. Given that y = 1, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"i": "o + 9", "u": "i + 11", "f": "u + 18", "a": "f + 11", "e": "a + 1", "k": "e + 13", "g": "o + 9", "h": "g + 4", "j": "h + 16", "m": "j + 2", "b": "m + 13", "n": "b + 2", "o": 14}, "premises": {"o": 14}, "target": "k"}, "answer": {"steps": [["e", "a + 1", "a + 14"], ["a", "f + 11", "f + 25"], ["f", "u + 18", "u + 43"], ["u", "i + 11", "i + 54"], ["i", "o + 9", "o + 63"], ["o", 14, "77"]], "target_var_name": "k", "target_value": 77, "value_dict": {"o": 14}, "is_reverse": true}} | 7,737 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = h + 16; f = u + 18; b = m + 13; h = g + 4; n = b + 2; e = a + 1; u = i + 11; g = o + 9; m = j + 2; k = e + 13; i = o + 9; o = 14; a = f + 11. If o = 14, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = a + 1 to k, which gives k = a + 14.\n2. Substitute a = f + 11 to k, which gives k = f + 25.\n3. Substitute f = u + 18 to k, which gives k = u + 43.\n4. Substitute u = i + 11 to k, which gives k = i + 54.\n5. Substitute i = o + 9 to k, which gives k = o + 63.\n6. Substitute o = 14 to k, which gives k = 77.\n\nThus, the final answer is k = \\boxed{77}.",
"index": 7737,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = h + 16; f = u + 18; b = m + 13; h = g + 4; n = b + 2; e = a + 1; u = i + 11; g = o + 9; m = j + 2; k = e + 13; i = o + 9; o = 14; a = f + 11. If o = 14, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"b": "c + 14", "p": "b + 3", "x": "p + 8", "t": "x + 19", "s": "t + 14", "w": "s + 2", "n": "c + 12", "g": "n + 17", "q": "g + 7", "i": "q + 20", "d": "i + 3", "f": "d + 10", "c": 18}, "premises": {"c": 18}, "target": "w"}, "answer": {"steps": [["s", "t + 14", "t + 16"], ["t", "x + 19", "x + 35"], ["x", "p + 8", "p + 43"], ["p", "b + 3", "b + 46"], ["b", "c + 14", "c + 60"], ["c", 18, "78"]], "target_var_name": "w", "target_value": 78, "value_dict": {"c": 18}, "is_reverse": true}} | 7,738 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = 18; d = i + 3; s = t + 14; g = n + 17; n = c + 12; f = d + 10; q = g + 7; w = s + 2; p = b + 3; b = c + 14; i = q + 20; t = x + 19; x = p + 8. Given that c = 18, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = t + 14 to w, which gives w = t + 16.\n2. Substitute t = x + 19 to w, which gives w = x + 35.\n3. Substitute x = p + 8 to w, which gives w = p + 43.\n4. Substitute p = b + 3 to w, which gives w = b + 46.\n5. Substitute b = c + 14 to w, which gives w = c + 60.\n6. Substitute c = 18 to w, which gives w = 78.\n\nThus, the final answer is w = \\boxed{78}.",
"index": 7738,
"question": "Suppose a collection of variables is related by the following definitions: c = 18; d = i + 3; s = t + 14; g = n + 17; n = c + 12; f = d + 10; q = g + 7; w = s + 2; p = b + 3; b = c + 14; i = q + 20; t = x + 19; x = p + 8. Given that c = 18, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"t": "e + 18", "h": "t + 8", "y": "h + 13", "m": "y + 17", "a": "m + 8", "i": "a + 1", "l": "e + 19", "n": "l + 6", "v": "n + 20", "d": "v + 7", "g": "d + 20", "b": "g + 2", "e": 4}, "premises": {"e": 4}, "target": "i"}, "answer": {"steps": [["a", "m + 8", "m + 9"], ["m", "y + 17", "y + 26"], ["y", "h + 13", "h + 39"], ["h", "t + 8", "t + 47"], ["t", "e + 18", "e + 65"], ["e", 4, "69"]], "target_var_name": "i", "target_value": 69, "value_dict": {"e": 4}, "is_reverse": true}} | 7,739 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = g + 2; t = e + 18; h = t + 8; e = 4; l = e + 19; g = d + 20; y = h + 13; v = n + 20; a = m + 8; d = v + 7; m = y + 17; i = a + 1; n = l + 6. Given that e = 4, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = m + 8 to i, which gives i = m + 9.\n2. Substitute m = y + 17 to i, which gives i = y + 26.\n3. Substitute y = h + 13 to i, which gives i = h + 39.\n4. Substitute h = t + 8 to i, which gives i = t + 47.\n5. Substitute t = e + 18 to i, which gives i = e + 65.\n6. Substitute e = 4 to i, which gives i = 69.\n\nThus, the final answer is i = \\boxed{69}.",
"index": 7739,
"question": "Suppose a collection of variables is related by the following definitions: b = g + 2; t = e + 18; h = t + 8; e = 4; l = e + 19; g = d + 20; y = h + 13; v = n + 20; a = m + 8; d = v + 7; m = y + 17; i = a + 1; n = l + 6. Given that e = 4, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"x": "c + 16", "o": "x + 9", "t": "o + 2", "g": "t + 6", "f": "g + 3", "s": "f + 6", "i": "c + 8", "u": "i + 3", "r": "u + 18", "z": "r + 18", "h": "z + 18", "q": "h + 9", "c": 17}, "premises": {"c": 17}, "target": "s"}, "answer": {"steps": [["f", "g + 3", "g + 9"], ["g", "t + 6", "t + 15"], ["t", "o + 2", "o + 17"], ["o", "x + 9", "x + 26"], ["x", "c + 16", "c + 42"], ["c", 17, "59"]], "target_var_name": "s", "target_value": 59, "value_dict": {"c": 17}, "is_reverse": true}} | 7,740 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = o + 2; s = f + 6; c = 17; o = x + 9; z = r + 18; r = u + 18; g = t + 6; f = g + 3; h = z + 18; i = c + 8; u = i + 3; q = h + 9; x = c + 16. If c = 17, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = g + 3 to s, which gives s = g + 9.\n2. Substitute g = t + 6 to s, which gives s = t + 15.\n3. Substitute t = o + 2 to s, which gives s = o + 17.\n4. Substitute o = x + 9 to s, which gives s = x + 26.\n5. Substitute x = c + 16 to s, which gives s = c + 42.\n6. Substitute c = 17 to s, which gives s = 59.\n\nThus, the final answer is s = \\boxed{59}.",
"index": 7740,
"question": "Consider a system of variables where each variable is defined as follows: t = o + 2; s = f + 6; c = 17; o = x + 9; z = r + 18; r = u + 18; g = t + 6; f = g + 3; h = z + 18; i = c + 8; u = i + 3; q = h + 9; x = c + 16. If c = 17, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"d": "y + 2", "c": "d + 16", "p": "c + 8", "m": "p + 5", "f": "m + 15", "e": "f + 7", "n": "y + 11", "q": "n + 15", "t": "q + 13", "v": "t + 6", "s": "v + 12", "k": "s + 8", "y": 14}, "premises": {"y": 14}, "target": "e"}, "answer": {"steps": [["f", "m + 15", "m + 22"], ["m", "p + 5", "p + 27"], ["p", "c + 8", "c + 35"], ["c", "d + 16", "d + 51"], ["d", "y + 2", "y + 53"], ["y", 14, "67"]], "target_var_name": "e", "target_value": 67, "value_dict": {"y": 14}, "is_reverse": true}} | 7,741 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = y + 2; v = t + 6; s = v + 12; n = y + 11; y = 14; t = q + 13; m = p + 5; e = f + 7; p = c + 8; q = n + 15; c = d + 16; f = m + 15; k = s + 8. If y = 14, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = m + 15 to e, which gives e = m + 22.\n2. Substitute m = p + 5 to e, which gives e = p + 27.\n3. Substitute p = c + 8 to e, which gives e = c + 35.\n4. Substitute c = d + 16 to e, which gives e = d + 51.\n5. Substitute d = y + 2 to e, which gives e = y + 53.\n6. Substitute y = 14 to e, which gives e = 67.\n\nThus, the final answer is e = \\boxed{67}.",
"index": 7741,
"question": "Consider a system of variables where each variable is defined as follows: d = y + 2; v = t + 6; s = v + 12; n = y + 11; y = 14; t = q + 13; m = p + 5; e = f + 7; p = c + 8; q = n + 15; c = d + 16; f = m + 15; k = s + 8. If y = 14, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"p": "g + 4", "q": "p + 11", "r": "q + 1", "h": "r + 4", "i": "h + 8", "y": "i + 4", "z": "g + 11", "v": "z + 17", "c": "v + 13", "x": "c + 1", "m": "x + 17", "k": "m + 2", "g": 5}, "premises": {"g": 5}, "target": "y"}, "answer": {"steps": [["i", "h + 8", "h + 12"], ["h", "r + 4", "r + 16"], ["r", "q + 1", "q + 17"], ["q", "p + 11", "p + 28"], ["p", "g + 4", "g + 32"], ["g", 5, "37"]], "target_var_name": "y", "target_value": 37, "value_dict": {"g": 5}, "is_reverse": true}} | 7,742 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = q + 1; g = 5; z = g + 11; c = v + 13; y = i + 4; i = h + 8; m = x + 17; x = c + 1; p = g + 4; v = z + 17; h = r + 4; q = p + 11; k = m + 2. Given that g = 5, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 37,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = h + 8 to y, which gives y = h + 12.\n2. Substitute h = r + 4 to y, which gives y = r + 16.\n3. Substitute r = q + 1 to y, which gives y = q + 17.\n4. Substitute q = p + 11 to y, which gives y = p + 28.\n5. Substitute p = g + 4 to y, which gives y = g + 32.\n6. Substitute g = 5 to y, which gives y = 37.\n\nThus, the final answer is y = \\boxed{37}.",
"index": 7742,
"question": "Suppose a collection of variables is related by the following definitions: r = q + 1; g = 5; z = g + 11; c = v + 13; y = i + 4; i = h + 8; m = x + 17; x = c + 1; p = g + 4; v = z + 17; h = r + 4; q = p + 11; k = m + 2. Given that g = 5, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"f": "w + 17", "y": "f + 5", "t": "y + 20", "u": "t + 1", "d": "u + 20", "r": "d + 16", "g": "w + 10", "q": "g + 12", "m": "q + 10", "j": "m + 11", "c": "j + 17", "a": "c + 20", "w": 3}, "premises": {"w": 3}, "target": "r"}, "answer": {"steps": [["d", "u + 20", "u + 36"], ["u", "t + 1", "t + 37"], ["t", "y + 20", "y + 57"], ["y", "f + 5", "f + 62"], ["f", "w + 17", "w + 79"], ["w", 3, "82"]], "target_var_name": "r", "target_value": 82, "value_dict": {"w": 3}, "is_reverse": true}} | 7,743 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = y + 20; c = j + 17; u = t + 1; r = d + 16; q = g + 12; a = c + 20; g = w + 10; y = f + 5; w = 3; d = u + 20; m = q + 10; f = w + 17; j = m + 11. Given that w = 3, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = u + 20 to r, which gives r = u + 36.\n2. Substitute u = t + 1 to r, which gives r = t + 37.\n3. Substitute t = y + 20 to r, which gives r = y + 57.\n4. Substitute y = f + 5 to r, which gives r = f + 62.\n5. Substitute f = w + 17 to r, which gives r = w + 79.\n6. Substitute w = 3 to r, which gives r = 82.\n\nThus, the final answer is r = \\boxed{82}.",
"index": 7743,
"question": "Suppose a collection of variables is related by the following definitions: t = y + 20; c = j + 17; u = t + 1; r = d + 16; q = g + 12; a = c + 20; g = w + 10; y = f + 5; w = 3; d = u + 20; m = q + 10; f = w + 17; j = m + 11. Given that w = 3, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"w": "a + 17", "u": "w + 15", "d": "u + 1", "s": "d + 12", "o": "s + 9", "k": "o + 17", "i": "a + 9", "n": "i + 17", "v": "n + 9", "z": "v + 6", "p": "z + 7", "g": "p + 13", "a": 17}, "premises": {"a": 17}, "target": "k"}, "answer": {"steps": [["o", "s + 9", "s + 26"], ["s", "d + 12", "d + 38"], ["d", "u + 1", "u + 39"], ["u", "w + 15", "w + 54"], ["w", "a + 17", "a + 71"], ["a", 17, "88"]], "target_var_name": "k", "target_value": 88, "value_dict": {"a": 17}, "is_reverse": true}} | 7,744 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = w + 15; i = a + 9; v = n + 9; z = v + 6; a = 17; s = d + 12; d = u + 1; o = s + 9; p = z + 7; w = a + 17; k = o + 17; n = i + 17; g = p + 13. If a = 17, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = s + 9 to k, which gives k = s + 26.\n2. Substitute s = d + 12 to k, which gives k = d + 38.\n3. Substitute d = u + 1 to k, which gives k = u + 39.\n4. Substitute u = w + 15 to k, which gives k = w + 54.\n5. Substitute w = a + 17 to k, which gives k = a + 71.\n6. Substitute a = 17 to k, which gives k = 88.\n\nThus, the final answer is k = \\boxed{88}.",
"index": 7744,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = w + 15; i = a + 9; v = n + 9; z = v + 6; a = 17; s = d + 12; d = u + 1; o = s + 9; p = z + 7; w = a + 17; k = o + 17; n = i + 17; g = p + 13. If a = 17, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"g": "d + 14", "t": "g + 11", "k": "t + 5", "b": "k + 14", "o": "b + 10", "z": "o + 8", "c": "d + 2", "l": "c + 2", "i": "l + 19", "p": "i + 15", "j": "p + 2", "n": "j + 1", "d": 19}, "premises": {"d": 19}, "target": "z"}, "answer": {"steps": [["o", "b + 10", "b + 18"], ["b", "k + 14", "k + 32"], ["k", "t + 5", "t + 37"], ["t", "g + 11", "g + 48"], ["g", "d + 14", "d + 62"], ["d", 19, "81"]], "target_var_name": "z", "target_value": 81, "value_dict": {"d": 19}, "is_reverse": true}} | 7,745 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = g + 11; c = d + 2; j = p + 2; l = c + 2; p = i + 15; o = b + 10; i = l + 19; z = o + 8; g = d + 14; d = 19; b = k + 14; n = j + 1; k = t + 5. If d = 19, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = b + 10 to z, which gives z = b + 18.\n2. Substitute b = k + 14 to z, which gives z = k + 32.\n3. Substitute k = t + 5 to z, which gives z = t + 37.\n4. Substitute t = g + 11 to z, which gives z = g + 48.\n5. Substitute g = d + 14 to z, which gives z = d + 62.\n6. Substitute d = 19 to z, which gives z = 81.\n\nThus, the final answer is z = \\boxed{81}.",
"index": 7745,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = g + 11; c = d + 2; j = p + 2; l = c + 2; p = i + 15; o = b + 10; i = l + 19; z = o + 8; g = d + 14; d = 19; b = k + 14; n = j + 1; k = t + 5. If d = 19, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"p": "v + 3", "u": "p + 1", "g": "u + 1", "f": "g + 2", "l": "f + 11", "k": "l + 10", "i": "v + 15", "j": "i + 3", "n": "j + 12", "x": "n + 18", "a": "x + 14", "w": "a + 9", "v": 12}, "premises": {"v": 12}, "target": "k"}, "answer": {"steps": [["l", "f + 11", "f + 21"], ["f", "g + 2", "g + 23"], ["g", "u + 1", "u + 24"], ["u", "p + 1", "p + 25"], ["p", "v + 3", "v + 28"], ["v", 12, "40"]], "target_var_name": "k", "target_value": 40, "value_dict": {"v": 12}, "is_reverse": true}} | 7,746 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = a + 9; f = g + 2; u = p + 1; x = n + 18; n = j + 12; l = f + 11; j = i + 3; v = 12; i = v + 15; a = x + 14; k = l + 10; g = u + 1; p = v + 3. If v = 12, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 40,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = f + 11 to k, which gives k = f + 21.\n2. Substitute f = g + 2 to k, which gives k = g + 23.\n3. Substitute g = u + 1 to k, which gives k = u + 24.\n4. Substitute u = p + 1 to k, which gives k = p + 25.\n5. Substitute p = v + 3 to k, which gives k = v + 28.\n6. Substitute v = 12 to k, which gives k = 40.\n\nThus, the final answer is k = \\boxed{40}.",
"index": 7746,
"question": "Consider a system of variables where each variable is defined as follows: w = a + 9; f = g + 2; u = p + 1; x = n + 18; n = j + 12; l = f + 11; j = i + 3; v = 12; i = v + 15; a = x + 14; k = l + 10; g = u + 1; p = v + 3. If v = 12, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"w": "p + 14", "l": "w + 16", "d": "l + 4", "u": "d + 1", "e": "u + 17", "r": "e + 16", "f": "p + 19", "j": "f + 12", "o": "j + 16", "a": "o + 18", "n": "a + 9", "m": "n + 9", "p": 16}, "premises": {"p": 16}, "target": "r"}, "answer": {"steps": [["e", "u + 17", "u + 33"], ["u", "d + 1", "d + 34"], ["d", "l + 4", "l + 38"], ["l", "w + 16", "w + 54"], ["w", "p + 14", "p + 68"], ["p", 16, "84"]], "target_var_name": "r", "target_value": 84, "value_dict": {"p": 16}, "is_reverse": true}} | 7,747 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = o + 18; o = j + 16; u = d + 1; p = 16; n = a + 9; d = l + 4; m = n + 9; l = w + 16; f = p + 19; w = p + 14; j = f + 12; e = u + 17; r = e + 16. Given that p = 16, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = u + 17 to r, which gives r = u + 33.\n2. Substitute u = d + 1 to r, which gives r = d + 34.\n3. Substitute d = l + 4 to r, which gives r = l + 38.\n4. Substitute l = w + 16 to r, which gives r = w + 54.\n5. Substitute w = p + 14 to r, which gives r = p + 68.\n6. Substitute p = 16 to r, which gives r = 84.\n\nThus, the final answer is r = \\boxed{84}.",
"index": 7747,
"question": "Suppose a collection of variables is related by the following definitions: a = o + 18; o = j + 16; u = d + 1; p = 16; n = a + 9; d = l + 4; m = n + 9; l = w + 16; f = p + 19; w = p + 14; j = f + 12; e = u + 17; r = e + 16. Given that p = 16, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"c": "b + 2", "q": "c + 18", "l": "q + 13", "g": "l + 13", "j": "g + 11", "w": "j + 15", "k": "b + 5", "v": "k + 6", "d": "v + 10", "x": "d + 11", "n": "x + 2", "r": "n + 6", "b": 9}, "premises": {"b": 9}, "target": "w"}, "answer": {"steps": [["j", "g + 11", "g + 26"], ["g", "l + 13", "l + 39"], ["l", "q + 13", "q + 52"], ["q", "c + 18", "c + 70"], ["c", "b + 2", "b + 72"], ["b", 9, "81"]], "target_var_name": "w", "target_value": 81, "value_dict": {"b": 9}, "is_reverse": true}} | 7,748 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = l + 13; d = v + 10; l = q + 13; w = j + 15; j = g + 11; q = c + 18; k = b + 5; r = n + 6; x = d + 11; n = x + 2; v = k + 6; b = 9; c = b + 2. Given that b = 9, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = g + 11 to w, which gives w = g + 26.\n2. Substitute g = l + 13 to w, which gives w = l + 39.\n3. Substitute l = q + 13 to w, which gives w = q + 52.\n4. Substitute q = c + 18 to w, which gives w = c + 70.\n5. Substitute c = b + 2 to w, which gives w = b + 72.\n6. Substitute b = 9 to w, which gives w = 81.\n\nThus, the final answer is w = \\boxed{81}.",
"index": 7748,
"question": "Suppose a collection of variables is related by the following definitions: g = l + 13; d = v + 10; l = q + 13; w = j + 15; j = g + 11; q = c + 18; k = b + 5; r = n + 6; x = d + 11; n = x + 2; v = k + 6; b = 9; c = b + 2. Given that b = 9, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"r": "a + 3", "i": "r + 1", "x": "i + 15", "y": "x + 9", "p": "y + 7", "n": "p + 15", "w": "a + 3", "l": "w + 14", "c": "l + 8", "v": "c + 10", "b": "v + 10", "f": "b + 4", "a": 10}, "premises": {"a": 10}, "target": "n"}, "answer": {"steps": [["p", "y + 7", "y + 22"], ["y", "x + 9", "x + 31"], ["x", "i + 15", "i + 46"], ["i", "r + 1", "r + 47"], ["r", "a + 3", "a + 50"], ["a", 10, "60"]], "target_var_name": "n", "target_value": 60, "value_dict": {"a": 10}, "is_reverse": true}} | 7,749 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = v + 10; w = a + 3; c = l + 8; l = w + 14; a = 10; r = a + 3; y = x + 9; f = b + 4; v = c + 10; p = y + 7; i = r + 1; x = i + 15; n = p + 15. If a = 10, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = y + 7 to n, which gives n = y + 22.\n2. Substitute y = x + 9 to n, which gives n = x + 31.\n3. Substitute x = i + 15 to n, which gives n = i + 46.\n4. Substitute i = r + 1 to n, which gives n = r + 47.\n5. Substitute r = a + 3 to n, which gives n = a + 50.\n6. Substitute a = 10 to n, which gives n = 60.\n\nThus, the final answer is n = \\boxed{60}.",
"index": 7749,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = v + 10; w = a + 3; c = l + 8; l = w + 14; a = 10; r = a + 3; y = x + 9; f = b + 4; v = c + 10; p = y + 7; i = r + 1; x = i + 15; n = p + 15. If a = 10, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"w": "y + 5", "b": "w + 17", "j": "b + 4", "z": "j + 3", "s": "z + 7", "d": "s + 4", "m": "y + 7", "l": "m + 12", "a": "l + 13", "k": "a + 15", "o": "k + 17", "u": "o + 14", "y": 14}, "premises": {"y": 14}, "target": "d"}, "answer": {"steps": [["s", "z + 7", "z + 11"], ["z", "j + 3", "j + 14"], ["j", "b + 4", "b + 18"], ["b", "w + 17", "w + 35"], ["w", "y + 5", "y + 40"], ["y", 14, "54"]], "target_var_name": "d", "target_value": 54, "value_dict": {"y": 14}, "is_reverse": true}} | 7,750 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = 14; k = a + 15; s = z + 7; w = y + 5; a = l + 13; b = w + 17; m = y + 7; z = j + 3; u = o + 14; j = b + 4; l = m + 12; d = s + 4; o = k + 17. If y = 14, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = z + 7 to d, which gives d = z + 11.\n2. Substitute z = j + 3 to d, which gives d = j + 14.\n3. Substitute j = b + 4 to d, which gives d = b + 18.\n4. Substitute b = w + 17 to d, which gives d = w + 35.\n5. Substitute w = y + 5 to d, which gives d = y + 40.\n6. Substitute y = 14 to d, which gives d = 54.\n\nThus, the final answer is d = \\boxed{54}.",
"index": 7750,
"question": "Consider a system of variables where each variable is defined as follows: y = 14; k = a + 15; s = z + 7; w = y + 5; a = l + 13; b = w + 17; m = y + 7; z = j + 3; u = o + 14; j = b + 4; l = m + 12; d = s + 4; o = k + 17. If y = 14, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"b": "g + 16", "r": "b + 3", "y": "r + 18", "s": "y + 13", "n": "s + 11", "o": "n + 8", "i": "g + 10", "x": "i + 4", "l": "x + 10", "w": "l + 4", "v": "w + 18", "h": "v + 5", "g": 4}, "premises": {"g": 4}, "target": "o"}, "answer": {"steps": [["n", "s + 11", "s + 19"], ["s", "y + 13", "y + 32"], ["y", "r + 18", "r + 50"], ["r", "b + 3", "b + 53"], ["b", "g + 16", "g + 69"], ["g", 4, "73"]], "target_var_name": "o", "target_value": 73, "value_dict": {"g": 4}, "is_reverse": true}} | 7,751 | 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 + 8; b = g + 16; v = w + 18; i = g + 10; r = b + 3; w = l + 4; s = y + 13; l = x + 10; g = 4; h = v + 5; x = i + 4; n = s + 11; y = r + 18. If g = 4, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = s + 11 to o, which gives o = s + 19.\n2. Substitute s = y + 13 to o, which gives o = y + 32.\n3. Substitute y = r + 18 to o, which gives o = r + 50.\n4. Substitute r = b + 3 to o, which gives o = b + 53.\n5. Substitute b = g + 16 to o, which gives o = g + 69.\n6. Substitute g = 4 to o, which gives o = 73.\n\nThus, the final answer is o = \\boxed{73}.",
"index": 7751,
"question": "Consider a system of variables where each variable is defined as follows: o = n + 8; b = g + 16; v = w + 18; i = g + 10; r = b + 3; w = l + 4; s = y + 13; l = x + 10; g = 4; h = v + 5; x = i + 4; n = s + 11; y = r + 18. If g = 4, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"j": "v + 20", "m": "j + 15", "q": "m + 11", "w": "q + 9", "e": "w + 7", "l": "e + 15", "f": "v + 12", "h": "f + 12", "c": "h + 7", "r": "c + 7", "s": "r + 4", "x": "s + 16", "v": 5}, "premises": {"v": 5}, "target": "l"}, "answer": {"steps": [["e", "w + 7", "w + 22"], ["w", "q + 9", "q + 31"], ["q", "m + 11", "m + 42"], ["m", "j + 15", "j + 57"], ["j", "v + 20", "v + 77"], ["v", 5, "82"]], "target_var_name": "l", "target_value": 82, "value_dict": {"v": 5}, "is_reverse": true}} | 7,752 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = m + 11; e = w + 7; s = r + 4; h = f + 12; v = 5; m = j + 15; f = v + 12; w = q + 9; j = v + 20; l = e + 15; c = h + 7; x = s + 16; r = c + 7. Given that v = 5, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = w + 7 to l, which gives l = w + 22.\n2. Substitute w = q + 9 to l, which gives l = q + 31.\n3. Substitute q = m + 11 to l, which gives l = m + 42.\n4. Substitute m = j + 15 to l, which gives l = j + 57.\n5. Substitute j = v + 20 to l, which gives l = v + 77.\n6. Substitute v = 5 to l, which gives l = 82.\n\nThus, the final answer is l = \\boxed{82}.",
"index": 7752,
"question": "Suppose a collection of variables is related by the following definitions: q = m + 11; e = w + 7; s = r + 4; h = f + 12; v = 5; m = j + 15; f = v + 12; w = q + 9; j = v + 20; l = e + 15; c = h + 7; x = s + 16; r = c + 7. Given that v = 5, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"y": "p + 20", "d": "y + 16", "z": "d + 18", "n": "z + 16", "m": "n + 10", "i": "m + 14", "h": "p + 7", "a": "h + 5", "s": "a + 11", "u": "s + 16", "j": "u + 12", "g": "j + 10", "p": 17}, "premises": {"p": 17}, "target": "i"}, "answer": {"steps": [["m", "n + 10", "n + 24"], ["n", "z + 16", "z + 40"], ["z", "d + 18", "d + 58"], ["d", "y + 16", "y + 74"], ["y", "p + 20", "p + 94"], ["p", 17, "111"]], "target_var_name": "i", "target_value": 111, "value_dict": {"p": 17}, "is_reverse": true}} | 7,753 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = p + 20; n = z + 16; u = s + 16; z = d + 18; a = h + 5; j = u + 12; i = m + 14; s = a + 11; g = j + 10; p = 17; d = y + 16; h = p + 7; m = n + 10. If p = 17, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 111,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = n + 10 to i, which gives i = n + 24.\n2. Substitute n = z + 16 to i, which gives i = z + 40.\n3. Substitute z = d + 18 to i, which gives i = d + 58.\n4. Substitute d = y + 16 to i, which gives i = y + 74.\n5. Substitute y = p + 20 to i, which gives i = p + 94.\n6. Substitute p = 17 to i, which gives i = 111.\n\nThus, the final answer is i = \\boxed{111}.",
"index": 7753,
"question": "Consider a system of variables where each variable is defined as follows: y = p + 20; n = z + 16; u = s + 16; z = d + 18; a = h + 5; j = u + 12; i = m + 14; s = a + 11; g = j + 10; p = 17; d = y + 16; h = p + 7; m = n + 10. If p = 17, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"e": "d + 2", "k": "e + 8", "v": "k + 12", "s": "v + 17", "f": "s + 12", "c": "f + 1", "u": "d + 17", "i": "u + 5", "w": "i + 7", "h": "w + 6", "m": "h + 17", "p": "m + 3", "d": 1}, "premises": {"d": 1}, "target": "c"}, "answer": {"steps": [["f", "s + 12", "s + 13"], ["s", "v + 17", "v + 30"], ["v", "k + 12", "k + 42"], ["k", "e + 8", "e + 50"], ["e", "d + 2", "d + 52"], ["d", 1, "53"]], "target_var_name": "c", "target_value": 53, "value_dict": {"d": 1}, "is_reverse": true}} | 7,754 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = w + 6; i = u + 5; u = d + 17; f = s + 12; e = d + 2; c = f + 1; p = m + 3; m = h + 17; w = i + 7; v = k + 12; s = v + 17; k = e + 8; d = 1. Given that d = 1, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = s + 12 to c, which gives c = s + 13.\n2. Substitute s = v + 17 to c, which gives c = v + 30.\n3. Substitute v = k + 12 to c, which gives c = k + 42.\n4. Substitute k = e + 8 to c, which gives c = e + 50.\n5. Substitute e = d + 2 to c, which gives c = d + 52.\n6. Substitute d = 1 to c, which gives c = 53.\n\nThus, the final answer is c = \\boxed{53}.",
"index": 7754,
"question": "Suppose a collection of variables is related by the following definitions: h = w + 6; i = u + 5; u = d + 17; f = s + 12; e = d + 2; c = f + 1; p = m + 3; m = h + 17; w = i + 7; v = k + 12; s = v + 17; k = e + 8; d = 1. Given that d = 1, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"c": "h + 19", "v": "c + 4", "j": "v + 8", "y": "j + 13", "x": "y + 11", "k": "x + 2", "o": "h + 20", "m": "o + 16", "i": "m + 19", "w": "i + 4", "u": "w + 12", "g": "u + 2", "h": 7}, "premises": {"h": 7}, "target": "k"}, "answer": {"steps": [["x", "y + 11", "y + 13"], ["y", "j + 13", "j + 26"], ["j", "v + 8", "v + 34"], ["v", "c + 4", "c + 38"], ["c", "h + 19", "h + 57"], ["h", 7, "64"]], "target_var_name": "k", "target_value": 64, "value_dict": {"h": 7}, "is_reverse": true}} | 7,755 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = j + 13; m = o + 16; h = 7; j = v + 8; c = h + 19; w = i + 4; k = x + 2; i = m + 19; u = w + 12; v = c + 4; x = y + 11; g = u + 2; o = h + 20. If h = 7, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = y + 11 to k, which gives k = y + 13.\n2. Substitute y = j + 13 to k, which gives k = j + 26.\n3. Substitute j = v + 8 to k, which gives k = v + 34.\n4. Substitute v = c + 4 to k, which gives k = c + 38.\n5. Substitute c = h + 19 to k, which gives k = h + 57.\n6. Substitute h = 7 to k, which gives k = 64.\n\nThus, the final answer is k = \\boxed{64}.",
"index": 7755,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = j + 13; m = o + 16; h = 7; j = v + 8; c = h + 19; w = i + 4; k = x + 2; i = m + 19; u = w + 12; v = c + 4; x = y + 11; g = u + 2; o = h + 20. If h = 7, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"b": "h + 14", "z": "b + 20", "k": "z + 11", "v": "k + 7", "u": "v + 15", "d": "u + 4", "l": "h + 8", "c": "l + 6", "q": "c + 6", "g": "q + 6", "s": "g + 17", "f": "s + 1", "h": 15}, "premises": {"h": 15}, "target": "d"}, "answer": {"steps": [["u", "v + 15", "v + 19"], ["v", "k + 7", "k + 26"], ["k", "z + 11", "z + 37"], ["z", "b + 20", "b + 57"], ["b", "h + 14", "h + 71"], ["h", 15, "86"]], "target_var_name": "d", "target_value": 86, "value_dict": {"h": 15}, "is_reverse": true}} | 7,756 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = 15; g = q + 6; u = v + 15; d = u + 4; l = h + 8; v = k + 7; s = g + 17; q = c + 6; k = z + 11; c = l + 6; f = s + 1; z = b + 20; b = h + 14. If h = 15, determine 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 u = v + 15 to d, which gives d = v + 19.\n2. Substitute v = k + 7 to d, which gives d = k + 26.\n3. Substitute k = z + 11 to d, which gives d = z + 37.\n4. Substitute z = b + 20 to d, which gives d = b + 57.\n5. Substitute b = h + 14 to d, which gives d = h + 71.\n6. Substitute h = 15 to d, which gives d = 86.\n\nThus, the final answer is d = \\boxed{86}.",
"index": 7756,
"question": "Consider a system of variables where each variable is defined as follows: h = 15; g = q + 6; u = v + 15; d = u + 4; l = h + 8; v = k + 7; s = g + 17; q = c + 6; k = z + 11; c = l + 6; f = s + 1; z = b + 20; b = h + 14. If h = 15, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"f": "d + 18", "s": "f + 7", "n": "s + 7", "e": "n + 10", "b": "e + 10", "r": "b + 17", "p": "d + 3", "c": "p + 17", "k": "c + 12", "w": "k + 17", "l": "w + 15", "t": "l + 9", "d": 4}, "premises": {"d": 4}, "target": "r"}, "answer": {"steps": [["b", "e + 10", "e + 27"], ["e", "n + 10", "n + 37"], ["n", "s + 7", "s + 44"], ["s", "f + 7", "f + 51"], ["f", "d + 18", "d + 69"], ["d", 4, "73"]], "target_var_name": "r", "target_value": 73, "value_dict": {"d": 4}, "is_reverse": true}} | 7,757 | 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 = s + 7; l = w + 15; e = n + 10; b = e + 10; p = d + 3; r = b + 17; w = k + 17; s = f + 7; d = 4; c = p + 17; f = d + 18; k = c + 12; t = l + 9. If d = 4, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = e + 10 to r, which gives r = e + 27.\n2. Substitute e = n + 10 to r, which gives r = n + 37.\n3. Substitute n = s + 7 to r, which gives r = s + 44.\n4. Substitute s = f + 7 to r, which gives r = f + 51.\n5. Substitute f = d + 18 to r, which gives r = d + 69.\n6. Substitute d = 4 to r, which gives r = 73.\n\nThus, the final answer is r = \\boxed{73}.",
"index": 7757,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = s + 7; l = w + 15; e = n + 10; b = e + 10; p = d + 3; r = b + 17; w = k + 17; s = f + 7; d = 4; c = p + 17; f = d + 18; k = c + 12; t = l + 9. If d = 4, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"k": "g + 17", "c": "k + 4", "d": "c + 10", "q": "d + 8", "t": "q + 7", "o": "t + 12", "a": "g + 7", "i": "a + 6", "w": "i + 6", "e": "w + 13", "m": "e + 20", "v": "m + 18", "g": 18}, "premises": {"g": 18}, "target": "o"}, "answer": {"steps": [["t", "q + 7", "q + 19"], ["q", "d + 8", "d + 27"], ["d", "c + 10", "c + 37"], ["c", "k + 4", "k + 41"], ["k", "g + 17", "g + 58"], ["g", 18, "76"]], "target_var_name": "o", "target_value": 76, "value_dict": {"g": 18}, "is_reverse": true}} | 7,758 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = c + 10; q = d + 8; e = w + 13; k = g + 17; t = q + 7; v = m + 18; m = e + 20; w = i + 6; c = k + 4; g = 18; i = a + 6; a = g + 7; o = t + 12. Given that g = 18, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = q + 7 to o, which gives o = q + 19.\n2. Substitute q = d + 8 to o, which gives o = d + 27.\n3. Substitute d = c + 10 to o, which gives o = c + 37.\n4. Substitute c = k + 4 to o, which gives o = k + 41.\n5. Substitute k = g + 17 to o, which gives o = g + 58.\n6. Substitute g = 18 to o, which gives o = 76.\n\nThus, the final answer is o = \\boxed{76}.",
"index": 7758,
"question": "Suppose a collection of variables is related by the following definitions: d = c + 10; q = d + 8; e = w + 13; k = g + 17; t = q + 7; v = m + 18; m = e + 20; w = i + 6; c = k + 4; g = 18; i = a + 6; a = g + 7; o = t + 12. Given that g = 18, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"v": "m + 18", "p": "v + 10", "x": "p + 3", "g": "x + 15", "r": "g + 5", "f": "r + 2", "z": "m + 18", "s": "z + 10", "h": "s + 3", "o": "h + 17", "l": "o + 15", "i": "l + 5", "m": 5}, "premises": {"m": 5}, "target": "f"}, "answer": {"steps": [["r", "g + 5", "g + 7"], ["g", "x + 15", "x + 22"], ["x", "p + 3", "p + 25"], ["p", "v + 10", "v + 35"], ["v", "m + 18", "m + 53"], ["m", 5, "58"]], "target_var_name": "f", "target_value": 58, "value_dict": {"m": 5}, "is_reverse": true}} | 7,759 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = m + 18; s = z + 10; v = m + 18; m = 5; p = v + 10; i = l + 5; o = h + 17; r = g + 5; l = o + 15; x = p + 3; g = x + 15; f = r + 2; h = s + 3. If m = 5, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = g + 5 to f, which gives f = g + 7.\n2. Substitute g = x + 15 to f, which gives f = x + 22.\n3. Substitute x = p + 3 to f, which gives f = p + 25.\n4. Substitute p = v + 10 to f, which gives f = v + 35.\n5. Substitute v = m + 18 to f, which gives f = m + 53.\n6. Substitute m = 5 to f, which gives f = 58.\n\nThus, the final answer is f = \\boxed{58}.",
"index": 7759,
"question": "Consider a system of variables where each variable is defined as follows: z = m + 18; s = z + 10; v = m + 18; m = 5; p = v + 10; i = l + 5; o = h + 17; r = g + 5; l = o + 15; x = p + 3; g = x + 15; f = r + 2; h = s + 3. If m = 5, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"c": "m + 3", "v": "c + 1", "o": "v + 2", "r": "o + 1", "n": "r + 11", "a": "n + 3", "k": "m + 10", "b": "k + 18", "x": "b + 12", "p": "x + 16", "e": "p + 17", "i": "e + 14", "m": 2}, "premises": {"m": 2}, "target": "a"}, "answer": {"steps": [["n", "r + 11", "r + 14"], ["r", "o + 1", "o + 15"], ["o", "v + 2", "v + 17"], ["v", "c + 1", "c + 18"], ["c", "m + 3", "m + 21"], ["m", 2, "23"]], "target_var_name": "a", "target_value": 23, "value_dict": {"m": 2}, "is_reverse": true}} | 7,760 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = k + 18; o = v + 2; m = 2; a = n + 3; v = c + 1; e = p + 17; c = m + 3; p = x + 16; n = r + 11; i = e + 14; k = m + 10; r = o + 1; x = b + 12. If m = 2, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 23,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = r + 11 to a, which gives a = r + 14.\n2. Substitute r = o + 1 to a, which gives a = o + 15.\n3. Substitute o = v + 2 to a, which gives a = v + 17.\n4. Substitute v = c + 1 to a, which gives a = c + 18.\n5. Substitute c = m + 3 to a, which gives a = m + 21.\n6. Substitute m = 2 to a, which gives a = 23.\n\nThus, the final answer is a = \\boxed{23}.",
"index": 7760,
"question": "Consider a system of variables where each variable is defined as follows: b = k + 18; o = v + 2; m = 2; a = n + 3; v = c + 1; e = p + 17; c = m + 3; p = x + 16; n = r + 11; i = e + 14; k = m + 10; r = o + 1; x = b + 12. If m = 2, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"s": "x + 3", "g": "s + 4", "p": "g + 16", "a": "p + 4", "i": "a + 12", "t": "i + 4", "h": "x + 10", "r": "h + 17", "c": "r + 16", "j": "c + 16", "e": "j + 3", "d": "e + 13", "x": 1}, "premises": {"x": 1}, "target": "t"}, "answer": {"steps": [["i", "a + 12", "a + 16"], ["a", "p + 4", "p + 20"], ["p", "g + 16", "g + 36"], ["g", "s + 4", "s + 40"], ["s", "x + 3", "x + 43"], ["x", 1, "44"]], "target_var_name": "t", "target_value": 44, "value_dict": {"x": 1}, "is_reverse": true}} | 7,761 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = j + 3; a = p + 4; i = a + 12; s = x + 3; d = e + 13; p = g + 16; h = x + 10; t = i + 4; x = 1; c = r + 16; j = c + 16; g = s + 4; r = h + 17. If x = 1, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 44,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = a + 12 to t, which gives t = a + 16.\n2. Substitute a = p + 4 to t, which gives t = p + 20.\n3. Substitute p = g + 16 to t, which gives t = g + 36.\n4. Substitute g = s + 4 to t, which gives t = s + 40.\n5. Substitute s = x + 3 to t, which gives t = x + 43.\n6. Substitute x = 1 to t, which gives t = 44.\n\nThus, the final answer is t = \\boxed{44}.",
"index": 7761,
"question": "Consider a system of variables where each variable is defined as follows: e = j + 3; a = p + 4; i = a + 12; s = x + 3; d = e + 13; p = g + 16; h = x + 10; t = i + 4; x = 1; c = r + 16; j = c + 16; g = s + 4; r = h + 17. If x = 1, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"f": "i + 4", "x": "f + 7", "h": "x + 14", "a": "h + 10", "p": "a + 13", "m": "p + 1", "o": "i + 12", "e": "o + 10", "g": "e + 13", "v": "g + 1", "u": "v + 11", "l": "u + 14", "i": 19}, "premises": {"i": 19}, "target": "m"}, "answer": {"steps": [["p", "a + 13", "a + 14"], ["a", "h + 10", "h + 24"], ["h", "x + 14", "x + 38"], ["x", "f + 7", "f + 45"], ["f", "i + 4", "i + 49"], ["i", 19, "68"]], "target_var_name": "m", "target_value": 68, "value_dict": {"i": 19}, "is_reverse": true}} | 7,762 | 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 = i + 4; u = v + 11; i = 19; h = x + 14; x = f + 7; g = e + 13; e = o + 10; a = h + 10; p = a + 13; m = p + 1; l = u + 14; v = g + 1; o = i + 12. If i = 19, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = a + 13 to m, which gives m = a + 14.\n2. Substitute a = h + 10 to m, which gives m = h + 24.\n3. Substitute h = x + 14 to m, which gives m = x + 38.\n4. Substitute x = f + 7 to m, which gives m = f + 45.\n5. Substitute f = i + 4 to m, which gives m = i + 49.\n6. Substitute i = 19 to m, which gives m = 68.\n\nThus, the final answer is m = \\boxed{68}.",
"index": 7762,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = i + 4; u = v + 11; i = 19; h = x + 14; x = f + 7; g = e + 13; e = o + 10; a = h + 10; p = a + 13; m = p + 1; l = u + 14; v = g + 1; o = i + 12. If i = 19, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"s": "c + 12", "w": "s + 9", "l": "w + 19", "z": "l + 16", "i": "z + 14", "y": "i + 6", "h": "c + 6", "f": "h + 13", "g": "f + 1", "j": "g + 8", "k": "j + 4", "d": "k + 17", "c": 12}, "premises": {"c": 12}, "target": "y"}, "answer": {"steps": [["i", "z + 14", "z + 20"], ["z", "l + 16", "l + 36"], ["l", "w + 19", "w + 55"], ["w", "s + 9", "s + 64"], ["s", "c + 12", "c + 76"], ["c", 12, "88"]], "target_var_name": "y", "target_value": 88, "value_dict": {"c": 12}, "is_reverse": true}} | 7,763 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = g + 8; i = z + 14; c = 12; d = k + 17; z = l + 16; s = c + 12; w = s + 9; h = c + 6; k = j + 4; l = w + 19; g = f + 1; f = h + 13; y = i + 6. If c = 12, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = z + 14 to y, which gives y = z + 20.\n2. Substitute z = l + 16 to y, which gives y = l + 36.\n3. Substitute l = w + 19 to y, which gives y = w + 55.\n4. Substitute w = s + 9 to y, which gives y = s + 64.\n5. Substitute s = c + 12 to y, which gives y = c + 76.\n6. Substitute c = 12 to y, which gives y = 88.\n\nThus, the final answer is y = \\boxed{88}.",
"index": 7763,
"question": "Consider a system of variables where each variable is defined as follows: j = g + 8; i = z + 14; c = 12; d = k + 17; z = l + 16; s = c + 12; w = s + 9; h = c + 6; k = j + 4; l = w + 19; g = f + 1; f = h + 13; y = i + 6. If c = 12, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"q": "h + 16", "w": "q + 15", "z": "w + 8", "c": "z + 7", "f": "c + 15", "j": "f + 10", "n": "h + 19", "t": "n + 12", "i": "t + 8", "a": "i + 19", "e": "a + 18", "r": "e + 15", "h": 17}, "premises": {"h": 17}, "target": "j"}, "answer": {"steps": [["f", "c + 15", "c + 25"], ["c", "z + 7", "z + 32"], ["z", "w + 8", "w + 40"], ["w", "q + 15", "q + 55"], ["q", "h + 16", "h + 71"], ["h", 17, "88"]], "target_var_name": "j", "target_value": 88, "value_dict": {"h": 17}, "is_reverse": true}} | 7,764 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = 17; t = n + 12; c = z + 7; e = a + 18; a = i + 19; i = t + 8; r = e + 15; w = q + 15; z = w + 8; j = f + 10; f = c + 15; q = h + 16; n = h + 19. If h = 17, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = c + 15 to j, which gives j = c + 25.\n2. Substitute c = z + 7 to j, which gives j = z + 32.\n3. Substitute z = w + 8 to j, which gives j = w + 40.\n4. Substitute w = q + 15 to j, which gives j = q + 55.\n5. Substitute q = h + 16 to j, which gives j = h + 71.\n6. Substitute h = 17 to j, which gives j = 88.\n\nThus, the final answer is j = \\boxed{88}.",
"index": 7764,
"question": "Consider a system of variables where each variable is defined as follows: h = 17; t = n + 12; c = z + 7; e = a + 18; a = i + 19; i = t + 8; r = e + 15; w = q + 15; z = w + 8; j = f + 10; f = c + 15; q = h + 16; n = h + 19. If h = 17, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"v": "u + 19", "d": "v + 9", "q": "d + 7", "e": "q + 17", "s": "e + 16", "b": "s + 20", "o": "u + 19", "f": "o + 13", "z": "f + 15", "n": "z + 17", "i": "n + 18", "x": "i + 12", "u": 1}, "premises": {"u": 1}, "target": "b"}, "answer": {"steps": [["s", "e + 16", "e + 36"], ["e", "q + 17", "q + 53"], ["q", "d + 7", "d + 60"], ["d", "v + 9", "v + 69"], ["v", "u + 19", "u + 88"], ["u", 1, "89"]], "target_var_name": "b", "target_value": 89, "value_dict": {"u": 1}, "is_reverse": true}} | 7,765 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = v + 9; v = u + 19; u = 1; x = i + 12; z = f + 15; s = e + 16; n = z + 17; f = o + 13; b = s + 20; q = d + 7; o = u + 19; e = q + 17; i = n + 18. If u = 1, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = e + 16 to b, which gives b = e + 36.\n2. Substitute e = q + 17 to b, which gives b = q + 53.\n3. Substitute q = d + 7 to b, which gives b = d + 60.\n4. Substitute d = v + 9 to b, which gives b = v + 69.\n5. Substitute v = u + 19 to b, which gives b = u + 88.\n6. Substitute u = 1 to b, which gives b = 89.\n\nThus, the final answer is b = \\boxed{89}.",
"index": 7765,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = v + 9; v = u + 19; u = 1; x = i + 12; z = f + 15; s = e + 16; n = z + 17; f = o + 13; b = s + 20; q = d + 7; o = u + 19; e = q + 17; i = n + 18. If u = 1, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"k": "u + 16", "e": "k + 4", "d": "e + 15", "q": "d + 3", "f": "q + 6", "x": "f + 8", "g": "u + 1", "w": "g + 12", "a": "w + 1", "s": "a + 7", "r": "s + 1", "t": "r + 12", "u": 3}, "premises": {"u": 3}, "target": "x"}, "answer": {"steps": [["f", "q + 6", "q + 14"], ["q", "d + 3", "d + 17"], ["d", "e + 15", "e + 32"], ["e", "k + 4", "k + 36"], ["k", "u + 16", "u + 52"], ["u", 3, "55"]], "target_var_name": "x", "target_value": 55, "value_dict": {"u": 3}, "is_reverse": true}} | 7,766 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = d + 3; u = 3; d = e + 15; e = k + 4; f = q + 6; k = u + 16; s = a + 7; r = s + 1; t = r + 12; w = g + 12; a = w + 1; x = f + 8; g = u + 1. If u = 3, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = q + 6 to x, which gives x = q + 14.\n2. Substitute q = d + 3 to x, which gives x = d + 17.\n3. Substitute d = e + 15 to x, which gives x = e + 32.\n4. Substitute e = k + 4 to x, which gives x = k + 36.\n5. Substitute k = u + 16 to x, which gives x = u + 52.\n6. Substitute u = 3 to x, which gives x = 55.\n\nThus, the final answer is x = \\boxed{55}.",
"index": 7766,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = d + 3; u = 3; d = e + 15; e = k + 4; f = q + 6; k = u + 16; s = a + 7; r = s + 1; t = r + 12; w = g + 12; a = w + 1; x = f + 8; g = u + 1. If u = 3, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"f": "i + 8", "m": "f + 9", "q": "m + 1", "n": "q + 19", "w": "n + 5", "x": "w + 4", "g": "i + 16", "v": "g + 1", "y": "v + 18", "s": "y + 19", "p": "s + 18", "t": "p + 1", "i": 13}, "premises": {"i": 13}, "target": "x"}, "answer": {"steps": [["w", "n + 5", "n + 9"], ["n", "q + 19", "q + 28"], ["q", "m + 1", "m + 29"], ["m", "f + 9", "f + 38"], ["f", "i + 8", "i + 46"], ["i", 13, "59"]], "target_var_name": "x", "target_value": 59, "value_dict": {"i": 13}, "is_reverse": true}} | 7,767 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = p + 1; x = w + 4; p = s + 18; q = m + 1; s = y + 19; w = n + 5; v = g + 1; n = q + 19; m = f + 9; y = v + 18; i = 13; g = i + 16; f = i + 8. If i = 13, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = n + 5 to x, which gives x = n + 9.\n2. Substitute n = q + 19 to x, which gives x = q + 28.\n3. Substitute q = m + 1 to x, which gives x = m + 29.\n4. Substitute m = f + 9 to x, which gives x = f + 38.\n5. Substitute f = i + 8 to x, which gives x = i + 46.\n6. Substitute i = 13 to x, which gives x = 59.\n\nThus, the final answer is x = \\boxed{59}.",
"index": 7767,
"question": "Consider a system of variables where each variable is defined as follows: t = p + 1; x = w + 4; p = s + 18; q = m + 1; s = y + 19; w = n + 5; v = g + 1; n = q + 19; m = f + 9; y = v + 18; i = 13; g = i + 16; f = i + 8. If i = 13, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"u": "d + 3", "s": "u + 4", "c": "s + 9", "p": "c + 13", "v": "p + 15", "a": "v + 14", "f": "d + 5", "h": "f + 9", "g": "h + 2", "l": "g + 4", "q": "l + 2", "w": "q + 16", "d": 8}, "premises": {"d": 8}, "target": "a"}, "answer": {"steps": [["v", "p + 15", "p + 29"], ["p", "c + 13", "c + 42"], ["c", "s + 9", "s + 51"], ["s", "u + 4", "u + 55"], ["u", "d + 3", "d + 58"], ["d", 8, "66"]], "target_var_name": "a", "target_value": 66, "value_dict": {"d": 8}, "is_reverse": true}} | 7,768 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = l + 2; c = s + 9; a = v + 14; u = d + 3; g = h + 2; l = g + 4; h = f + 9; s = u + 4; v = p + 15; p = c + 13; d = 8; f = d + 5; w = q + 16. If d = 8, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = p + 15 to a, which gives a = p + 29.\n2. Substitute p = c + 13 to a, which gives a = c + 42.\n3. Substitute c = s + 9 to a, which gives a = s + 51.\n4. Substitute s = u + 4 to a, which gives a = u + 55.\n5. Substitute u = d + 3 to a, which gives a = d + 58.\n6. Substitute d = 8 to a, which gives a = 66.\n\nThus, the final answer is a = \\boxed{66}.",
"index": 7768,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = l + 2; c = s + 9; a = v + 14; u = d + 3; g = h + 2; l = g + 4; h = f + 9; s = u + 4; v = p + 15; p = c + 13; d = 8; f = d + 5; w = q + 16. If d = 8, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"k": "j + 13", "v": "k + 20", "q": "v + 8", "w": "q + 7", "m": "w + 17", "r": "m + 3", "p": "j + 6", "c": "p + 18", "n": "c + 18", "g": "n + 15", "s": "g + 11", "x": "s + 8", "j": 8}, "premises": {"j": 8}, "target": "r"}, "answer": {"steps": [["m", "w + 17", "w + 20"], ["w", "q + 7", "q + 27"], ["q", "v + 8", "v + 35"], ["v", "k + 20", "k + 55"], ["k", "j + 13", "j + 68"], ["j", 8, "76"]], "target_var_name": "r", "target_value": 76, "value_dict": {"j": 8}, "is_reverse": true}} | 7,769 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = q + 7; s = g + 11; k = j + 13; p = j + 6; v = k + 20; x = s + 8; j = 8; g = n + 15; m = w + 17; c = p + 18; n = c + 18; q = v + 8; r = m + 3. If j = 8, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = w + 17 to r, which gives r = w + 20.\n2. Substitute w = q + 7 to r, which gives r = q + 27.\n3. Substitute q = v + 8 to r, which gives r = v + 35.\n4. Substitute v = k + 20 to r, which gives r = k + 55.\n5. Substitute k = j + 13 to r, which gives r = j + 68.\n6. Substitute j = 8 to r, which gives r = 76.\n\nThus, the final answer is r = \\boxed{76}.",
"index": 7769,
"question": "Consider a system of variables where each variable is defined as follows: w = q + 7; s = g + 11; k = j + 13; p = j + 6; v = k + 20; x = s + 8; j = 8; g = n + 15; m = w + 17; c = p + 18; n = c + 18; q = v + 8; r = m + 3. If j = 8, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"j": "d + 8", "f": "j + 19", "h": "f + 19", "g": "h + 13", "t": "g + 9", "r": "t + 11", "k": "d + 13", "q": "k + 18", "w": "q + 4", "p": "w + 14", "m": "p + 5", "e": "m + 2", "d": 1}, "premises": {"d": 1}, "target": "r"}, "answer": {"steps": [["t", "g + 9", "g + 20"], ["g", "h + 13", "h + 33"], ["h", "f + 19", "f + 52"], ["f", "j + 19", "j + 71"], ["j", "d + 8", "d + 79"], ["d", 1, "80"]], "target_var_name": "r", "target_value": 80, "value_dict": {"d": 1}, "is_reverse": true}} | 7,770 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = k + 18; w = q + 4; d = 1; h = f + 19; g = h + 13; m = p + 5; k = d + 13; e = m + 2; j = d + 8; t = g + 9; f = j + 19; p = w + 14; r = t + 11. If d = 1, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = g + 9 to r, which gives r = g + 20.\n2. Substitute g = h + 13 to r, which gives r = h + 33.\n3. Substitute h = f + 19 to r, which gives r = f + 52.\n4. Substitute f = j + 19 to r, which gives r = j + 71.\n5. Substitute j = d + 8 to r, which gives r = d + 79.\n6. Substitute d = 1 to r, which gives r = 80.\n\nThus, the final answer is r = \\boxed{80}.",
"index": 7770,
"question": "Consider a system of variables where each variable is defined as follows: q = k + 18; w = q + 4; d = 1; h = f + 19; g = h + 13; m = p + 5; k = d + 13; e = m + 2; j = d + 8; t = g + 9; f = j + 19; p = w + 14; r = t + 11. If d = 1, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"o": "y + 6", "z": "o + 4", "f": "z + 10", "u": "f + 19", "x": "u + 6", "n": "x + 14", "i": "y + 2", "e": "i + 12", "k": "e + 19", "p": "k + 1", "g": "p + 11", "t": "g + 13", "y": 13}, "premises": {"y": 13}, "target": "n"}, "answer": {"steps": [["x", "u + 6", "u + 20"], ["u", "f + 19", "f + 39"], ["f", "z + 10", "z + 49"], ["z", "o + 4", "o + 53"], ["o", "y + 6", "y + 59"], ["y", 13, "72"]], "target_var_name": "n", "target_value": 72, "value_dict": {"y": 13}, "is_reverse": true}} | 7,771 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = 13; e = i + 12; t = g + 13; p = k + 1; z = o + 4; f = z + 10; g = p + 11; x = u + 6; i = y + 2; n = x + 14; o = y + 6; k = e + 19; u = f + 19. Given that y = 13, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = u + 6 to n, which gives n = u + 20.\n2. Substitute u = f + 19 to n, which gives n = f + 39.\n3. Substitute f = z + 10 to n, which gives n = z + 49.\n4. Substitute z = o + 4 to n, which gives n = o + 53.\n5. Substitute o = y + 6 to n, which gives n = y + 59.\n6. Substitute y = 13 to n, which gives n = 72.\n\nThus, the final answer is n = \\boxed{72}.",
"index": 7771,
"question": "Suppose a collection of variables is related by the following definitions: y = 13; e = i + 12; t = g + 13; p = k + 1; z = o + 4; f = z + 10; g = p + 11; x = u + 6; i = y + 2; n = x + 14; o = y + 6; k = e + 19; u = f + 19. Given that y = 13, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"e": "m + 18", "k": "e + 8", "y": "k + 14", "i": "y + 18", "v": "i + 10", "f": "v + 9", "z": "m + 8", "n": "z + 15", "o": "n + 4", "a": "o + 20", "l": "a + 3", "u": "l + 1", "m": 14}, "premises": {"m": 14}, "target": "f"}, "answer": {"steps": [["v", "i + 10", "i + 19"], ["i", "y + 18", "y + 37"], ["y", "k + 14", "k + 51"], ["k", "e + 8", "e + 59"], ["e", "m + 18", "m + 77"], ["m", 14, "91"]], "target_var_name": "f", "target_value": 91, "value_dict": {"m": 14}, "is_reverse": true}} | 7,772 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = a + 3; i = y + 18; o = n + 4; e = m + 18; f = v + 9; n = z + 15; k = e + 8; z = m + 8; v = i + 10; a = o + 20; m = 14; u = l + 1; y = k + 14. If m = 14, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = i + 10 to f, which gives f = i + 19.\n2. Substitute i = y + 18 to f, which gives f = y + 37.\n3. Substitute y = k + 14 to f, which gives f = k + 51.\n4. Substitute k = e + 8 to f, which gives f = e + 59.\n5. Substitute e = m + 18 to f, which gives f = m + 77.\n6. Substitute m = 14 to f, which gives f = 91.\n\nThus, the final answer is f = \\boxed{91}.",
"index": 7772,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = a + 3; i = y + 18; o = n + 4; e = m + 18; f = v + 9; n = z + 15; k = e + 8; z = m + 8; v = i + 10; a = o + 20; m = 14; u = l + 1; y = k + 14. If m = 14, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"w": "j + 16", "v": "w + 12", "b": "v + 8", "l": "b + 20", "n": "l + 12", "f": "n + 5", "a": "j + 11", "e": "a + 18", "g": "e + 7", "d": "g + 11", "u": "d + 5", "o": "u + 4", "j": 14}, "premises": {"j": 14}, "target": "f"}, "answer": {"steps": [["n", "l + 12", "l + 17"], ["l", "b + 20", "b + 37"], ["b", "v + 8", "v + 45"], ["v", "w + 12", "w + 57"], ["w", "j + 16", "j + 73"], ["j", 14, "87"]], "target_var_name": "f", "target_value": 87, "value_dict": {"j": 14}, "is_reverse": true}} | 7,773 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = e + 7; d = g + 11; n = l + 12; l = b + 20; u = d + 5; b = v + 8; a = j + 11; v = w + 12; f = n + 5; o = u + 4; w = j + 16; e = a + 18; j = 14. If j = 14, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = l + 12 to f, which gives f = l + 17.\n2. Substitute l = b + 20 to f, which gives f = b + 37.\n3. Substitute b = v + 8 to f, which gives f = v + 45.\n4. Substitute v = w + 12 to f, which gives f = w + 57.\n5. Substitute w = j + 16 to f, which gives f = j + 73.\n6. Substitute j = 14 to f, which gives f = 87.\n\nThus, the final answer is f = \\boxed{87}.",
"index": 7773,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = e + 7; d = g + 11; n = l + 12; l = b + 20; u = d + 5; b = v + 8; a = j + 11; v = w + 12; f = n + 5; o = u + 4; w = j + 16; e = a + 18; j = 14. If j = 14, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"o": "f + 10", "n": "o + 14", "c": "n + 5", "p": "c + 11", "u": "p + 19", "s": "u + 7", "l": "f + 12", "e": "l + 4", "t": "e + 7", "r": "t + 4", "w": "r + 19", "a": "w + 19", "f": 15}, "premises": {"f": 15}, "target": "s"}, "answer": {"steps": [["u", "p + 19", "p + 26"], ["p", "c + 11", "c + 37"], ["c", "n + 5", "n + 42"], ["n", "o + 14", "o + 56"], ["o", "f + 10", "f + 66"], ["f", 15, "81"]], "target_var_name": "s", "target_value": 81, "value_dict": {"f": 15}, "is_reverse": true}} | 7,774 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = e + 7; w = r + 19; o = f + 10; l = f + 12; a = w + 19; c = n + 5; u = p + 19; r = t + 4; s = u + 7; p = c + 11; n = o + 14; e = l + 4; f = 15. Given that f = 15, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = p + 19 to s, which gives s = p + 26.\n2. Substitute p = c + 11 to s, which gives s = c + 37.\n3. Substitute c = n + 5 to s, which gives s = n + 42.\n4. Substitute n = o + 14 to s, which gives s = o + 56.\n5. Substitute o = f + 10 to s, which gives s = f + 66.\n6. Substitute f = 15 to s, which gives s = 81.\n\nThus, the final answer is s = \\boxed{81}.",
"index": 7774,
"question": "Suppose a collection of variables is related by the following definitions: t = e + 7; w = r + 19; o = f + 10; l = f + 12; a = w + 19; c = n + 5; u = p + 19; r = t + 4; s = u + 7; p = c + 11; n = o + 14; e = l + 4; f = 15. Given that f = 15, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"n": "g + 13", "l": "n + 14", "e": "l + 14", "o": "e + 13", "y": "o + 4", "f": "y + 1", "i": "g + 17", "v": "i + 13", "u": "v + 8", "p": "u + 2", "q": "p + 8", "c": "q + 5", "g": 4}, "premises": {"g": 4}, "target": "f"}, "answer": {"steps": [["y", "o + 4", "o + 5"], ["o", "e + 13", "e + 18"], ["e", "l + 14", "l + 32"], ["l", "n + 14", "n + 46"], ["n", "g + 13", "g + 59"], ["g", 4, "63"]], "target_var_name": "f", "target_value": 63, "value_dict": {"g": 4}, "is_reverse": true}} | 7,775 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = v + 8; q = p + 8; f = y + 1; o = e + 13; g = 4; c = q + 5; v = i + 13; p = u + 2; y = o + 4; n = g + 13; e = l + 14; l = n + 14; i = g + 17. If g = 4, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = o + 4 to f, which gives f = o + 5.\n2. Substitute o = e + 13 to f, which gives f = e + 18.\n3. Substitute e = l + 14 to f, which gives f = l + 32.\n4. Substitute l = n + 14 to f, which gives f = n + 46.\n5. Substitute n = g + 13 to f, which gives f = g + 59.\n6. Substitute g = 4 to f, which gives f = 63.\n\nThus, the final answer is f = \\boxed{63}.",
"index": 7775,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = v + 8; q = p + 8; f = y + 1; o = e + 13; g = 4; c = q + 5; v = i + 13; p = u + 2; y = o + 4; n = g + 13; e = l + 14; l = n + 14; i = g + 17. If g = 4, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"i": "e + 6", "z": "i + 2", "f": "z + 3", "r": "f + 14", "g": "r + 9", "w": "g + 16", "m": "e + 6", "c": "m + 5", "l": "c + 18", "v": "l + 10", "a": "v + 1", "j": "a + 6", "e": 14}, "premises": {"e": 14}, "target": "w"}, "answer": {"steps": [["g", "r + 9", "r + 25"], ["r", "f + 14", "f + 39"], ["f", "z + 3", "z + 42"], ["z", "i + 2", "i + 44"], ["i", "e + 6", "e + 50"], ["e", 14, "64"]], "target_var_name": "w", "target_value": 64, "value_dict": {"e": 14}, "is_reverse": true}} | 7,776 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = c + 18; g = r + 9; a = v + 1; w = g + 16; e = 14; i = e + 6; r = f + 14; m = e + 6; j = a + 6; c = m + 5; f = z + 3; v = l + 10; z = i + 2. If e = 14, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = r + 9 to w, which gives w = r + 25.\n2. Substitute r = f + 14 to w, which gives w = f + 39.\n3. Substitute f = z + 3 to w, which gives w = z + 42.\n4. Substitute z = i + 2 to w, which gives w = i + 44.\n5. Substitute i = e + 6 to w, which gives w = e + 50.\n6. Substitute e = 14 to w, which gives w = 64.\n\nThus, the final answer is w = \\boxed{64}.",
"index": 7776,
"question": "Consider a system of variables where each variable is defined as follows: l = c + 18; g = r + 9; a = v + 1; w = g + 16; e = 14; i = e + 6; r = f + 14; m = e + 6; j = a + 6; c = m + 5; f = z + 3; v = l + 10; z = i + 2. If e = 14, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"b": "x + 19", "a": "b + 9", "w": "a + 11", "n": "w + 15", "z": "n + 6", "h": "z + 17", "d": "x + 11", "e": "d + 14", "m": "e + 9", "g": "m + 1", "s": "g + 5", "p": "s + 4", "x": 5}, "premises": {"x": 5}, "target": "h"}, "answer": {"steps": [["z", "n + 6", "n + 23"], ["n", "w + 15", "w + 38"], ["w", "a + 11", "a + 49"], ["a", "b + 9", "b + 58"], ["b", "x + 19", "x + 77"], ["x", 5, "82"]], "target_var_name": "h", "target_value": 82, "value_dict": {"x": 5}, "is_reverse": true}} | 7,777 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = d + 14; m = e + 9; s = g + 5; p = s + 4; a = b + 9; x = 5; b = x + 19; d = x + 11; w = a + 11; h = z + 17; z = n + 6; n = w + 15; g = m + 1. Given that x = 5, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = n + 6 to h, which gives h = n + 23.\n2. Substitute n = w + 15 to h, which gives h = w + 38.\n3. Substitute w = a + 11 to h, which gives h = a + 49.\n4. Substitute a = b + 9 to h, which gives h = b + 58.\n5. Substitute b = x + 19 to h, which gives h = x + 77.\n6. Substitute x = 5 to h, which gives h = 82.\n\nThus, the final answer is h = \\boxed{82}.",
"index": 7777,
"question": "Suppose a collection of variables is related by the following definitions: e = d + 14; m = e + 9; s = g + 5; p = s + 4; a = b + 9; x = 5; b = x + 19; d = x + 11; w = a + 11; h = z + 17; z = n + 6; n = w + 15; g = m + 1. Given that x = 5, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"i": "w + 5", "o": "i + 6", "r": "o + 10", "l": "r + 14", "d": "l + 19", "e": "d + 18", "x": "w + 1", "g": "x + 17", "c": "g + 3", "q": "c + 18", "u": "q + 3", "y": "u + 14", "w": 20}, "premises": {"w": 20}, "target": "e"}, "answer": {"steps": [["d", "l + 19", "l + 37"], ["l", "r + 14", "r + 51"], ["r", "o + 10", "o + 61"], ["o", "i + 6", "i + 67"], ["i", "w + 5", "w + 72"], ["w", 20, "92"]], "target_var_name": "e", "target_value": 92, "value_dict": {"w": 20}, "is_reverse": true}} | 7,778 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = l + 19; e = d + 18; u = q + 3; g = x + 17; o = i + 6; x = w + 1; c = g + 3; l = r + 14; w = 20; r = o + 10; q = c + 18; i = w + 5; y = u + 14. If w = 20, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = l + 19 to e, which gives e = l + 37.\n2. Substitute l = r + 14 to e, which gives e = r + 51.\n3. Substitute r = o + 10 to e, which gives e = o + 61.\n4. Substitute o = i + 6 to e, which gives e = i + 67.\n5. Substitute i = w + 5 to e, which gives e = w + 72.\n6. Substitute w = 20 to e, which gives e = 92.\n\nThus, the final answer is e = \\boxed{92}.",
"index": 7778,
"question": "Consider a system of variables where each variable is defined as follows: d = l + 19; e = d + 18; u = q + 3; g = x + 17; o = i + 6; x = w + 1; c = g + 3; l = r + 14; w = 20; r = o + 10; q = c + 18; i = w + 5; y = u + 14. If w = 20, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"y": "o + 16", "k": "y + 20", "b": "k + 4", "q": "b + 12", "h": "q + 5", "r": "h + 9", "w": "o + 10", "d": "w + 13", "i": "d + 14", "j": "i + 19", "p": "j + 13", "l": "p + 16", "o": 12}, "premises": {"o": 12}, "target": "r"}, "answer": {"steps": [["h", "q + 5", "q + 14"], ["q", "b + 12", "b + 26"], ["b", "k + 4", "k + 30"], ["k", "y + 20", "y + 50"], ["y", "o + 16", "o + 66"], ["o", 12, "78"]], "target_var_name": "r", "target_value": 78, "value_dict": {"o": 12}, "is_reverse": true}} | 7,779 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = y + 20; y = o + 16; w = o + 10; i = d + 14; p = j + 13; r = h + 9; l = p + 16; j = i + 19; d = w + 13; q = b + 12; b = k + 4; h = q + 5; o = 12. If o = 12, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = q + 5 to r, which gives r = q + 14.\n2. Substitute q = b + 12 to r, which gives r = b + 26.\n3. Substitute b = k + 4 to r, which gives r = k + 30.\n4. Substitute k = y + 20 to r, which gives r = y + 50.\n5. Substitute y = o + 16 to r, which gives r = o + 66.\n6. Substitute o = 12 to r, which gives r = 78.\n\nThus, the final answer is r = \\boxed{78}.",
"index": 7779,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = y + 20; y = o + 16; w = o + 10; i = d + 14; p = j + 13; r = h + 9; l = p + 16; j = i + 19; d = w + 13; q = b + 12; b = k + 4; h = q + 5; o = 12. If o = 12, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"j": "z + 12", "x": "j + 7", "g": "x + 7", "q": "g + 4", "v": "q + 8", "u": "v + 7", "w": "z + 11", "h": "w + 18", "c": "h + 10", "t": "c + 2", "e": "t + 8", "l": "e + 5", "z": 19}, "premises": {"z": 19}, "target": "u"}, "answer": {"steps": [["v", "q + 8", "q + 15"], ["q", "g + 4", "g + 19"], ["g", "x + 7", "x + 26"], ["x", "j + 7", "j + 33"], ["j", "z + 12", "z + 45"], ["z", 19, "64"]], "target_var_name": "u", "target_value": 64, "value_dict": {"z": 19}, "is_reverse": true}} | 7,780 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = h + 10; z = 19; l = e + 5; e = t + 8; w = z + 11; g = x + 7; j = z + 12; t = c + 2; x = j + 7; u = v + 7; h = w + 18; q = g + 4; v = q + 8. If z = 19, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = q + 8 to u, which gives u = q + 15.\n2. Substitute q = g + 4 to u, which gives u = g + 19.\n3. Substitute g = x + 7 to u, which gives u = x + 26.\n4. Substitute x = j + 7 to u, which gives u = j + 33.\n5. Substitute j = z + 12 to u, which gives u = z + 45.\n6. Substitute z = 19 to u, which gives u = 64.\n\nThus, the final answer is u = \\boxed{64}.",
"index": 7780,
"question": "Consider a system of variables where each variable is defined as follows: c = h + 10; z = 19; l = e + 5; e = t + 8; w = z + 11; g = x + 7; j = z + 12; t = c + 2; x = j + 7; u = v + 7; h = w + 18; q = g + 4; v = q + 8. If z = 19, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"q": "u + 1", "v": "q + 6", "c": "v + 20", "z": "c + 8", "o": "z + 4", "j": "o + 15", "m": "u + 5", "r": "m + 6", "y": "r + 2", "p": "y + 15", "f": "p + 12", "w": "f + 14", "u": 4}, "premises": {"u": 4}, "target": "j"}, "answer": {"steps": [["o", "z + 4", "z + 19"], ["z", "c + 8", "c + 27"], ["c", "v + 20", "v + 47"], ["v", "q + 6", "q + 53"], ["q", "u + 1", "u + 54"], ["u", 4, "58"]], "target_var_name": "j", "target_value": 58, "value_dict": {"u": 4}, "is_reverse": true}} | 7,781 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = f + 14; q = u + 1; f = p + 12; z = c + 8; j = o + 15; o = z + 4; p = y + 15; v = q + 6; m = u + 5; y = r + 2; c = v + 20; r = m + 6; u = 4. If u = 4, determine 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 o = z + 4 to j, which gives j = z + 19.\n2. Substitute z = c + 8 to j, which gives j = c + 27.\n3. Substitute c = v + 20 to j, which gives j = v + 47.\n4. Substitute v = q + 6 to j, which gives j = q + 53.\n5. Substitute q = u + 1 to j, which gives j = u + 54.\n6. Substitute u = 4 to j, which gives j = 58.\n\nThus, the final answer is j = \\boxed{58}.",
"index": 7781,
"question": "Consider a system of variables where each variable is defined as follows: w = f + 14; q = u + 1; f = p + 12; z = c + 8; j = o + 15; o = z + 4; p = y + 15; v = q + 6; m = u + 5; y = r + 2; c = v + 20; r = m + 6; u = 4. If u = 4, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"l": "b + 14", "t": "l + 17", "s": "t + 19", "c": "s + 13", "w": "c + 4", "a": "w + 20", "g": "b + 9", "k": "g + 16", "v": "k + 3", "x": "v + 12", "p": "x + 13", "n": "p + 17", "b": 3}, "premises": {"b": 3}, "target": "a"}, "answer": {"steps": [["w", "c + 4", "c + 24"], ["c", "s + 13", "s + 37"], ["s", "t + 19", "t + 56"], ["t", "l + 17", "l + 73"], ["l", "b + 14", "b + 87"], ["b", 3, "90"]], "target_var_name": "a", "target_value": 90, "value_dict": {"b": 3}, "is_reverse": true}} | 7,782 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = g + 16; t = l + 17; a = w + 20; g = b + 9; p = x + 13; v = k + 3; b = 3; x = v + 12; n = p + 17; s = t + 19; w = c + 4; l = b + 14; c = s + 13. If b = 3, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = c + 4 to a, which gives a = c + 24.\n2. Substitute c = s + 13 to a, which gives a = s + 37.\n3. Substitute s = t + 19 to a, which gives a = t + 56.\n4. Substitute t = l + 17 to a, which gives a = l + 73.\n5. Substitute l = b + 14 to a, which gives a = b + 87.\n6. Substitute b = 3 to a, which gives a = 90.\n\nThus, the final answer is a = \\boxed{90}.",
"index": 7782,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = g + 16; t = l + 17; a = w + 20; g = b + 9; p = x + 13; v = k + 3; b = 3; x = v + 12; n = p + 17; s = t + 19; w = c + 4; l = b + 14; c = s + 13. If b = 3, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"z": "h + 12", "p": "z + 10", "y": "p + 9", "v": "y + 7", "i": "v + 17", "d": "i + 4", "g": "h + 9", "a": "g + 5", "n": "a + 17", "j": "n + 14", "t": "j + 19", "k": "t + 1", "h": 5}, "premises": {"h": 5}, "target": "d"}, "answer": {"steps": [["i", "v + 17", "v + 21"], ["v", "y + 7", "y + 28"], ["y", "p + 9", "p + 37"], ["p", "z + 10", "z + 47"], ["z", "h + 12", "h + 59"], ["h", 5, "64"]], "target_var_name": "d", "target_value": 64, "value_dict": {"h": 5}, "is_reverse": true}} | 7,783 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = z + 10; d = i + 4; t = j + 19; i = v + 17; k = t + 1; z = h + 12; n = a + 17; y = p + 9; a = g + 5; g = h + 9; h = 5; v = y + 7; j = n + 14. If h = 5, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = v + 17 to d, which gives d = v + 21.\n2. Substitute v = y + 7 to d, which gives d = y + 28.\n3. Substitute y = p + 9 to d, which gives d = p + 37.\n4. Substitute p = z + 10 to d, which gives d = z + 47.\n5. Substitute z = h + 12 to d, which gives d = h + 59.\n6. Substitute h = 5 to d, which gives d = 64.\n\nThus, the final answer is d = \\boxed{64}.",
"index": 7783,
"question": "Consider a system of variables where each variable is defined as follows: p = z + 10; d = i + 4; t = j + 19; i = v + 17; k = t + 1; z = h + 12; n = a + 17; y = p + 9; a = g + 5; g = h + 9; h = 5; v = y + 7; j = n + 14. If h = 5, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"i": "k + 3", "o": "i + 13", "e": "o + 14", "z": "e + 5", "a": "z + 10", "h": "a + 20", "q": "k + 5", "j": "q + 10", "d": "j + 16", "y": "d + 5", "f": "y + 10", "p": "f + 20", "k": 12}, "premises": {"k": 12}, "target": "h"}, "answer": {"steps": [["a", "z + 10", "z + 30"], ["z", "e + 5", "e + 35"], ["e", "o + 14", "o + 49"], ["o", "i + 13", "i + 62"], ["i", "k + 3", "k + 65"], ["k", 12, "77"]], "target_var_name": "h", "target_value": 77, "value_dict": {"k": 12}, "is_reverse": true}} | 7,784 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = 12; f = y + 10; d = j + 16; o = i + 13; p = f + 20; a = z + 10; q = k + 5; j = q + 10; z = e + 5; h = a + 20; e = o + 14; y = d + 5; i = k + 3. If k = 12, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = z + 10 to h, which gives h = z + 30.\n2. Substitute z = e + 5 to h, which gives h = e + 35.\n3. Substitute e = o + 14 to h, which gives h = o + 49.\n4. Substitute o = i + 13 to h, which gives h = i + 62.\n5. Substitute i = k + 3 to h, which gives h = k + 65.\n6. Substitute k = 12 to h, which gives h = 77.\n\nThus, the final answer is h = \\boxed{77}.",
"index": 7784,
"question": "Consider a system of variables where each variable is defined as follows: k = 12; f = y + 10; d = j + 16; o = i + 13; p = f + 20; a = z + 10; q = k + 5; j = q + 10; z = e + 5; h = a + 20; e = o + 14; y = d + 5; i = k + 3. If k = 12, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"r": "o + 8", "x": "r + 19", "c": "x + 9", "h": "c + 16", "l": "h + 8", "v": "l + 8", "d": "o + 18", "w": "d + 13", "g": "w + 18", "k": "g + 2", "b": "k + 9", "y": "b + 18", "o": 19}, "premises": {"o": 19}, "target": "v"}, "answer": {"steps": [["l", "h + 8", "h + 16"], ["h", "c + 16", "c + 32"], ["c", "x + 9", "x + 41"], ["x", "r + 19", "r + 60"], ["r", "o + 8", "o + 68"], ["o", 19, "87"]], "target_var_name": "v", "target_value": 87, "value_dict": {"o": 19}, "is_reverse": true}} | 7,785 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = o + 8; x = r + 19; k = g + 2; c = x + 9; o = 19; h = c + 16; y = b + 18; b = k + 9; d = o + 18; v = l + 8; l = h + 8; w = d + 13; g = w + 18. If o = 19, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = h + 8 to v, which gives v = h + 16.\n2. Substitute h = c + 16 to v, which gives v = c + 32.\n3. Substitute c = x + 9 to v, which gives v = x + 41.\n4. Substitute x = r + 19 to v, which gives v = r + 60.\n5. Substitute r = o + 8 to v, which gives v = o + 68.\n6. Substitute o = 19 to v, which gives v = 87.\n\nThus, the final answer is v = \\boxed{87}.",
"index": 7785,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = o + 8; x = r + 19; k = g + 2; c = x + 9; o = 19; h = c + 16; y = b + 18; b = k + 9; d = o + 18; v = l + 8; l = h + 8; w = d + 13; g = w + 18. If o = 19, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"z": "j + 19", "u": "z + 14", "y": "u + 7", "q": "y + 18", "t": "q + 14", "c": "t + 20", "l": "j + 18", "s": "l + 10", "i": "s + 13", "x": "i + 1", "d": "x + 4", "p": "d + 1", "j": 9}, "premises": {"j": 9}, "target": "c"}, "answer": {"steps": [["t", "q + 14", "q + 34"], ["q", "y + 18", "y + 52"], ["y", "u + 7", "u + 59"], ["u", "z + 14", "z + 73"], ["z", "j + 19", "j + 92"], ["j", 9, "101"]], "target_var_name": "c", "target_value": 101, "value_dict": {"j": 9}, "is_reverse": true}} | 7,786 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = q + 14; z = j + 19; p = d + 1; d = x + 4; c = t + 20; l = j + 18; j = 9; q = y + 18; u = z + 14; s = l + 10; i = s + 13; x = i + 1; y = u + 7. Given that j = 9, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = q + 14 to c, which gives c = q + 34.\n2. Substitute q = y + 18 to c, which gives c = y + 52.\n3. Substitute y = u + 7 to c, which gives c = u + 59.\n4. Substitute u = z + 14 to c, which gives c = z + 73.\n5. Substitute z = j + 19 to c, which gives c = j + 92.\n6. Substitute j = 9 to c, which gives c = 101.\n\nThus, the final answer is c = \\boxed{101}.",
"index": 7786,
"question": "Suppose a collection of variables is related by the following definitions: t = q + 14; z = j + 19; p = d + 1; d = x + 4; c = t + 20; l = j + 18; j = 9; q = y + 18; u = z + 14; s = l + 10; i = s + 13; x = i + 1; y = u + 7. Given that j = 9, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"o": "x + 12", "f": "o + 9", "r": "f + 15", "v": "r + 12", "e": "v + 6", "c": "e + 7", "u": "x + 12", "l": "u + 17", "p": "l + 7", "a": "p + 10", "n": "a + 14", "t": "n + 9", "x": 18}, "premises": {"x": 18}, "target": "c"}, "answer": {"steps": [["e", "v + 6", "v + 13"], ["v", "r + 12", "r + 25"], ["r", "f + 15", "f + 40"], ["f", "o + 9", "o + 49"], ["o", "x + 12", "x + 61"], ["x", 18, "79"]], "target_var_name": "c", "target_value": 79, "value_dict": {"x": 18}, "is_reverse": true}} | 7,787 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = v + 6; v = r + 12; p = l + 7; x = 18; o = x + 12; n = a + 14; c = e + 7; f = o + 9; t = n + 9; r = f + 15; u = x + 12; a = p + 10; l = u + 17. If x = 18, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = v + 6 to c, which gives c = v + 13.\n2. Substitute v = r + 12 to c, which gives c = r + 25.\n3. Substitute r = f + 15 to c, which gives c = f + 40.\n4. Substitute f = o + 9 to c, which gives c = o + 49.\n5. Substitute o = x + 12 to c, which gives c = x + 61.\n6. Substitute x = 18 to c, which gives c = 79.\n\nThus, the final answer is c = \\boxed{79}.",
"index": 7787,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = v + 6; v = r + 12; p = l + 7; x = 18; o = x + 12; n = a + 14; c = e + 7; f = o + 9; t = n + 9; r = f + 15; u = x + 12; a = p + 10; l = u + 17. If x = 18, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"w": "o + 9", "j": "w + 19", "h": "j + 15", "e": "h + 13", "t": "e + 7", "u": "t + 5", "r": "o + 7", "b": "r + 2", "m": "b + 13", "a": "m + 4", "z": "a + 16", "p": "z + 15", "o": 19}, "premises": {"o": 19}, "target": "u"}, "answer": {"steps": [["t", "e + 7", "e + 12"], ["e", "h + 13", "h + 25"], ["h", "j + 15", "j + 40"], ["j", "w + 19", "w + 59"], ["w", "o + 9", "o + 68"], ["o", 19, "87"]], "target_var_name": "u", "target_value": 87, "value_dict": {"o": 19}, "is_reverse": true}} | 7,788 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = z + 15; u = t + 5; b = r + 2; r = o + 7; e = h + 13; t = e + 7; w = o + 9; m = b + 13; z = a + 16; a = m + 4; h = j + 15; j = w + 19; o = 19. If o = 19, what is the resulting 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 t = e + 7 to u, which gives u = e + 12.\n2. Substitute e = h + 13 to u, which gives u = h + 25.\n3. Substitute h = j + 15 to u, which gives u = j + 40.\n4. Substitute j = w + 19 to u, which gives u = w + 59.\n5. Substitute w = o + 9 to u, which gives u = o + 68.\n6. Substitute o = 19 to u, which gives u = 87.\n\nThus, the final answer is u = \\boxed{87}.",
"index": 7788,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = z + 15; u = t + 5; b = r + 2; r = o + 7; e = h + 13; t = e + 7; w = o + 9; m = b + 13; z = a + 16; a = m + 4; h = j + 15; j = w + 19; o = 19. If o = 19, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"v": "q + 12", "x": "v + 19", "f": "x + 4", "i": "f + 9", "n": "i + 6", "k": "n + 4", "b": "q + 2", "z": "b + 18", "c": "z + 6", "t": "c + 15", "s": "t + 14", "g": "s + 7", "q": 5}, "premises": {"q": 5}, "target": "k"}, "answer": {"steps": [["n", "i + 6", "i + 10"], ["i", "f + 9", "f + 19"], ["f", "x + 4", "x + 23"], ["x", "v + 19", "v + 42"], ["v", "q + 12", "q + 54"], ["q", 5, "59"]], "target_var_name": "k", "target_value": 59, "value_dict": {"q": 5}, "is_reverse": true}} | 7,789 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = q + 12; x = v + 19; t = c + 15; i = f + 9; c = z + 6; s = t + 14; g = s + 7; f = x + 4; z = b + 18; k = n + 4; n = i + 6; b = q + 2; q = 5. Given that q = 5, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = i + 6 to k, which gives k = i + 10.\n2. Substitute i = f + 9 to k, which gives k = f + 19.\n3. Substitute f = x + 4 to k, which gives k = x + 23.\n4. Substitute x = v + 19 to k, which gives k = v + 42.\n5. Substitute v = q + 12 to k, which gives k = q + 54.\n6. Substitute q = 5 to k, which gives k = 59.\n\nThus, the final answer is k = \\boxed{59}.",
"index": 7789,
"question": "Suppose a collection of variables is related by the following definitions: v = q + 12; x = v + 19; t = c + 15; i = f + 9; c = z + 6; s = t + 14; g = s + 7; f = x + 4; z = b + 18; k = n + 4; n = i + 6; b = q + 2; q = 5. Given that q = 5, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"d": "m + 11", "g": "d + 15", "i": "g + 17", "l": "i + 2", "z": "l + 20", "f": "z + 10", "o": "m + 17", "s": "o + 12", "j": "s + 12", "u": "j + 6", "c": "u + 19", "e": "c + 13", "m": 3}, "premises": {"m": 3}, "target": "f"}, "answer": {"steps": [["z", "l + 20", "l + 30"], ["l", "i + 2", "i + 32"], ["i", "g + 17", "g + 49"], ["g", "d + 15", "d + 64"], ["d", "m + 11", "m + 75"], ["m", 3, "78"]], "target_var_name": "f", "target_value": 78, "value_dict": {"m": 3}, "is_reverse": true}} | 7,790 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = s + 12; f = z + 10; o = m + 17; m = 3; s = o + 12; l = i + 2; e = c + 13; d = m + 11; i = g + 17; g = d + 15; u = j + 6; z = l + 20; c = u + 19. If m = 3, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = l + 20 to f, which gives f = l + 30.\n2. Substitute l = i + 2 to f, which gives f = i + 32.\n3. Substitute i = g + 17 to f, which gives f = g + 49.\n4. Substitute g = d + 15 to f, which gives f = d + 64.\n5. Substitute d = m + 11 to f, which gives f = m + 75.\n6. Substitute m = 3 to f, which gives f = 78.\n\nThus, the final answer is f = \\boxed{78}.",
"index": 7790,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = s + 12; f = z + 10; o = m + 17; m = 3; s = o + 12; l = i + 2; e = c + 13; d = m + 11; i = g + 17; g = d + 15; u = j + 6; z = l + 20; c = u + 19. If m = 3, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"n": "l + 2", "w": "n + 7", "v": "w + 8", "j": "v + 15", "e": "j + 15", "d": "e + 5", "k": "l + 15", "s": "k + 20", "r": "s + 6", "y": "r + 10", "a": "y + 17", "t": "a + 3", "l": 6}, "premises": {"l": 6}, "target": "d"}, "answer": {"steps": [["e", "j + 15", "j + 20"], ["j", "v + 15", "v + 35"], ["v", "w + 8", "w + 43"], ["w", "n + 7", "n + 50"], ["n", "l + 2", "l + 52"], ["l", 6, "58"]], "target_var_name": "d", "target_value": 58, "value_dict": {"l": 6}, "is_reverse": true}} | 7,791 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = w + 8; t = a + 3; n = l + 2; s = k + 20; a = y + 17; d = e + 5; e = j + 15; k = l + 15; w = n + 7; y = r + 10; r = s + 6; j = v + 15; l = 6. Given that l = 6, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = j + 15 to d, which gives d = j + 20.\n2. Substitute j = v + 15 to d, which gives d = v + 35.\n3. Substitute v = w + 8 to d, which gives d = w + 43.\n4. Substitute w = n + 7 to d, which gives d = n + 50.\n5. Substitute n = l + 2 to d, which gives d = l + 52.\n6. Substitute l = 6 to d, which gives d = 58.\n\nThus, the final answer is d = \\boxed{58}.",
"index": 7791,
"question": "Suppose a collection of variables is related by the following definitions: v = w + 8; t = a + 3; n = l + 2; s = k + 20; a = y + 17; d = e + 5; e = j + 15; k = l + 15; w = n + 7; y = r + 10; r = s + 6; j = v + 15; l = 6. Given that l = 6, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"w": "q + 13", "p": "w + 1", "i": "p + 16", "o": "i + 15", "g": "o + 19", "x": "g + 4", "u": "q + 2", "c": "u + 20", "r": "c + 20", "s": "r + 16", "m": "s + 6", "z": "m + 17", "q": 18}, "premises": {"q": 18}, "target": "x"}, "answer": {"steps": [["g", "o + 19", "o + 23"], ["o", "i + 15", "i + 38"], ["i", "p + 16", "p + 54"], ["p", "w + 1", "w + 55"], ["w", "q + 13", "q + 68"], ["q", 18, "86"]], "target_var_name": "x", "target_value": 86, "value_dict": {"q": 18}, "is_reverse": true}} | 7,792 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = o + 19; p = w + 1; s = r + 16; w = q + 13; u = q + 2; i = p + 16; x = g + 4; r = c + 20; o = i + 15; z = m + 17; q = 18; c = u + 20; m = s + 6. If q = 18, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = o + 19 to x, which gives x = o + 23.\n2. Substitute o = i + 15 to x, which gives x = i + 38.\n3. Substitute i = p + 16 to x, which gives x = p + 54.\n4. Substitute p = w + 1 to x, which gives x = w + 55.\n5. Substitute w = q + 13 to x, which gives x = q + 68.\n6. Substitute q = 18 to x, which gives x = 86.\n\nThus, the final answer is x = \\boxed{86}.",
"index": 7792,
"question": "Consider a system of variables where each variable is defined as follows: g = o + 19; p = w + 1; s = r + 16; w = q + 13; u = q + 2; i = p + 16; x = g + 4; r = c + 20; o = i + 15; z = m + 17; q = 18; c = u + 20; m = s + 6. If q = 18, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"b": "p + 17", "o": "b + 2", "y": "o + 8", "f": "y + 15", "g": "f + 18", "t": "g + 4", "s": "p + 18", "d": "s + 17", "l": "d + 2", "i": "l + 11", "k": "i + 20", "j": "k + 5", "p": 18}, "premises": {"p": 18}, "target": "t"}, "answer": {"steps": [["g", "f + 18", "f + 22"], ["f", "y + 15", "y + 37"], ["y", "o + 8", "o + 45"], ["o", "b + 2", "b + 47"], ["b", "p + 17", "p + 64"], ["p", 18, "82"]], "target_var_name": "t", "target_value": 82, "value_dict": {"p": 18}, "is_reverse": true}} | 7,793 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = b + 2; t = g + 4; y = o + 8; k = i + 20; f = y + 15; l = d + 2; i = l + 11; d = s + 17; p = 18; g = f + 18; s = p + 18; j = k + 5; b = p + 17. Given that p = 18, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = f + 18 to t, which gives t = f + 22.\n2. Substitute f = y + 15 to t, which gives t = y + 37.\n3. Substitute y = o + 8 to t, which gives t = o + 45.\n4. Substitute o = b + 2 to t, which gives t = b + 47.\n5. Substitute b = p + 17 to t, which gives t = p + 64.\n6. Substitute p = 18 to t, which gives t = 82.\n\nThus, the final answer is t = \\boxed{82}.",
"index": 7793,
"question": "Suppose a collection of variables is related by the following definitions: o = b + 2; t = g + 4; y = o + 8; k = i + 20; f = y + 15; l = d + 2; i = l + 11; d = s + 17; p = 18; g = f + 18; s = p + 18; j = k + 5; b = p + 17. Given that p = 18, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"j": "o + 7", "w": "j + 2", "u": "w + 16", "g": "u + 20", "z": "g + 3", "f": "z + 13", "k": "o + 19", "x": "k + 7", "i": "x + 18", "n": "i + 13", "s": "n + 18", "p": "s + 8", "o": 13}, "premises": {"o": 13}, "target": "f"}, "answer": {"steps": [["z", "g + 3", "g + 16"], ["g", "u + 20", "u + 36"], ["u", "w + 16", "w + 52"], ["w", "j + 2", "j + 54"], ["j", "o + 7", "o + 61"], ["o", 13, "74"]], "target_var_name": "f", "target_value": 74, "value_dict": {"o": 13}, "is_reverse": true}} | 7,794 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = i + 13; z = g + 3; i = x + 18; o = 13; u = w + 16; p = s + 8; s = n + 18; j = o + 7; w = j + 2; k = o + 19; g = u + 20; f = z + 13; x = k + 7. If o = 13, 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 z = g + 3 to f, which gives f = g + 16.\n2. Substitute g = u + 20 to f, which gives f = u + 36.\n3. Substitute u = w + 16 to f, which gives f = w + 52.\n4. Substitute w = j + 2 to f, which gives f = j + 54.\n5. Substitute j = o + 7 to f, which gives f = o + 61.\n6. Substitute o = 13 to f, which gives f = 74.\n\nThus, the final answer is f = \\boxed{74}.",
"index": 7794,
"question": "Consider a system of variables where each variable is defined as follows: n = i + 13; z = g + 3; i = x + 18; o = 13; u = w + 16; p = s + 8; s = n + 18; j = o + 7; w = j + 2; k = o + 19; g = u + 20; f = z + 13; x = k + 7. If o = 13, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"x": "g + 1", "c": "x + 14", "w": "c + 12", "e": "w + 20", "p": "e + 17", "f": "p + 8", "v": "g + 14", "q": "v + 18", "s": "q + 17", "z": "s + 19", "d": "z + 3", "o": "d + 13", "g": 20}, "premises": {"g": 20}, "target": "f"}, "answer": {"steps": [["p", "e + 17", "e + 25"], ["e", "w + 20", "w + 45"], ["w", "c + 12", "c + 57"], ["c", "x + 14", "x + 71"], ["x", "g + 1", "g + 72"], ["g", 20, "92"]], "target_var_name": "f", "target_value": 92, "value_dict": {"g": 20}, "is_reverse": true}} | 7,795 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = e + 17; c = x + 14; o = d + 13; d = z + 3; w = c + 12; x = g + 1; s = q + 17; z = s + 19; v = g + 14; f = p + 8; g = 20; e = w + 20; q = v + 18. If g = 20, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = e + 17 to f, which gives f = e + 25.\n2. Substitute e = w + 20 to f, which gives f = w + 45.\n3. Substitute w = c + 12 to f, which gives f = c + 57.\n4. Substitute c = x + 14 to f, which gives f = x + 71.\n5. Substitute x = g + 1 to f, which gives f = g + 72.\n6. Substitute g = 20 to f, which gives f = 92.\n\nThus, the final answer is f = \\boxed{92}.",
"index": 7795,
"question": "Consider a system of variables where each variable is defined as follows: p = e + 17; c = x + 14; o = d + 13; d = z + 3; w = c + 12; x = g + 1; s = q + 17; z = s + 19; v = g + 14; f = p + 8; g = 20; e = w + 20; q = v + 18. If g = 20, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"e": "g + 17", "o": "e + 19", "h": "o + 5", "r": "h + 1", "p": "r + 12", "t": "p + 1", "n": "g + 3", "b": "n + 12", "k": "b + 9", "q": "k + 9", "c": "q + 9", "i": "c + 17", "g": 2}, "premises": {"g": 2}, "target": "t"}, "answer": {"steps": [["p", "r + 12", "r + 13"], ["r", "h + 1", "h + 14"], ["h", "o + 5", "o + 19"], ["o", "e + 19", "e + 38"], ["e", "g + 17", "g + 55"], ["g", 2, "57"]], "target_var_name": "t", "target_value": 57, "value_dict": {"g": 2}, "is_reverse": true}} | 7,796 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = n + 12; r = h + 1; t = p + 1; q = k + 9; o = e + 19; h = o + 5; e = g + 17; c = q + 9; p = r + 12; k = b + 9; n = g + 3; i = c + 17; g = 2. If g = 2, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = r + 12 to t, which gives t = r + 13.\n2. Substitute r = h + 1 to t, which gives t = h + 14.\n3. Substitute h = o + 5 to t, which gives t = o + 19.\n4. Substitute o = e + 19 to t, which gives t = e + 38.\n5. Substitute e = g + 17 to t, which gives t = g + 55.\n6. Substitute g = 2 to t, which gives t = 57.\n\nThus, the final answer is t = \\boxed{57}.",
"index": 7796,
"question": "Consider a system of variables where each variable is defined as follows: b = n + 12; r = h + 1; t = p + 1; q = k + 9; o = e + 19; h = o + 5; e = g + 17; c = q + 9; p = r + 12; k = b + 9; n = g + 3; i = c + 17; g = 2. If g = 2, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"r": "h + 16", "w": "r + 5", "f": "w + 14", "u": "f + 12", "n": "u + 1", "d": "n + 7", "m": "h + 12", "y": "m + 18", "s": "y + 19", "z": "s + 6", "c": "z + 17", "b": "c + 15", "h": 5}, "premises": {"h": 5}, "target": "d"}, "answer": {"steps": [["n", "u + 1", "u + 8"], ["u", "f + 12", "f + 20"], ["f", "w + 14", "w + 34"], ["w", "r + 5", "r + 39"], ["r", "h + 16", "h + 55"], ["h", 5, "60"]], "target_var_name": "d", "target_value": 60, "value_dict": {"h": 5}, "is_reverse": true}} | 7,797 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = y + 19; r = h + 16; y = m + 18; f = w + 14; b = c + 15; w = r + 5; z = s + 6; h = 5; c = z + 17; n = u + 1; u = f + 12; m = h + 12; d = n + 7. If h = 5, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = u + 1 to d, which gives d = u + 8.\n2. Substitute u = f + 12 to d, which gives d = f + 20.\n3. Substitute f = w + 14 to d, which gives d = w + 34.\n4. Substitute w = r + 5 to d, which gives d = r + 39.\n5. Substitute r = h + 16 to d, which gives d = h + 55.\n6. Substitute h = 5 to d, which gives d = 60.\n\nThus, the final answer is d = \\boxed{60}.",
"index": 7797,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = y + 19; r = h + 16; y = m + 18; f = w + 14; b = c + 15; w = r + 5; z = s + 6; h = 5; c = z + 17; n = u + 1; u = f + 12; m = h + 12; d = n + 7. If h = 5, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"q": "o + 19", "n": "q + 11", "k": "n + 8", "v": "k + 10", "b": "v + 11", "i": "b + 17", "w": "o + 12", "l": "w + 9", "s": "l + 9", "j": "s + 9", "x": "j + 5", "u": "x + 3", "o": 13}, "premises": {"o": 13}, "target": "i"}, "answer": {"steps": [["b", "v + 11", "v + 28"], ["v", "k + 10", "k + 38"], ["k", "n + 8", "n + 46"], ["n", "q + 11", "q + 57"], ["q", "o + 19", "o + 76"], ["o", 13, "89"]], "target_var_name": "i", "target_value": 89, "value_dict": {"o": 13}, "is_reverse": true}} | 7,798 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = x + 3; w = o + 12; s = l + 9; l = w + 9; i = b + 17; n = q + 11; q = o + 19; o = 13; b = v + 11; x = j + 5; j = s + 9; k = n + 8; v = k + 10. If o = 13, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = v + 11 to i, which gives i = v + 28.\n2. Substitute v = k + 10 to i, which gives i = k + 38.\n3. Substitute k = n + 8 to i, which gives i = n + 46.\n4. Substitute n = q + 11 to i, which gives i = q + 57.\n5. Substitute q = o + 19 to i, which gives i = o + 76.\n6. Substitute o = 13 to i, which gives i = 89.\n\nThus, the final answer is i = \\boxed{89}.",
"index": 7798,
"question": "Consider a system of variables where each variable is defined as follows: u = x + 3; w = o + 12; s = l + 9; l = w + 9; i = b + 17; n = q + 11; q = o + 19; o = 13; b = v + 11; x = j + 5; j = s + 9; k = n + 8; v = k + 10. If o = 13, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"j": "t + 2", "x": "j + 15", "g": "x + 15", "y": "g + 17", "c": "y + 20", "q": "c + 10", "l": "t + 17", "i": "l + 11", "d": "i + 9", "k": "d + 14", "o": "k + 19", "s": "o + 5", "t": 5}, "premises": {"t": 5}, "target": "q"}, "answer": {"steps": [["c", "y + 20", "y + 30"], ["y", "g + 17", "g + 47"], ["g", "x + 15", "x + 62"], ["x", "j + 15", "j + 77"], ["j", "t + 2", "t + 79"], ["t", 5, "84"]], "target_var_name": "q", "target_value": 84, "value_dict": {"t": 5}, "is_reverse": true}} | 7,799 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = t + 17; t = 5; x = j + 15; k = d + 14; q = c + 10; c = y + 20; i = l + 11; g = x + 15; d = i + 9; o = k + 19; s = o + 5; y = g + 17; j = t + 2. Given that t = 5, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = y + 20 to q, which gives q = y + 30.\n2. Substitute y = g + 17 to q, which gives q = g + 47.\n3. Substitute g = x + 15 to q, which gives q = x + 62.\n4. Substitute x = j + 15 to q, which gives q = j + 77.\n5. Substitute j = t + 2 to q, which gives q = t + 79.\n6. Substitute t = 5 to q, which gives q = 84.\n\nThus, the final answer is q = \\boxed{84}.",
"index": 7799,
"question": "Suppose a collection of variables is related by the following definitions: l = t + 17; t = 5; x = j + 15; k = d + 14; q = c + 10; c = y + 20; i = l + 11; g = x + 15; d = i + 9; o = k + 19; s = o + 5; y = g + 17; j = t + 2. Given that t = 5, find the value of q.",
"split": "train"
} |
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