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": {"m": "j + 3", "c": "m + 1", "r": "c + 19", "a": "r + 15", "n": "a + 4", "v": "n + 14", "b": "j + 16", "x": "b + 12", "u": "x + 15", "y": "u + 8", "s": "y + 13", "p": "s + 7", "j": 4}, "premises": {"j": 4}, "target": "v"}, "answer": {"steps": [["n", "a + 4", "a + 18"], ["a", "r + 15", "r + 33"], ["r", "c + 19", "c + 52"], ["c", "m + 1", "m + 53"], ["m", "j + 3", "j + 56"], ["j", 4, "60"]], "target_var_name": "v", "target_value": 60, "value_dict": {"j": 4}, "is_reverse": true}} | 8,900 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = j + 16; c = m + 1; p = s + 7; r = c + 19; s = y + 13; u = x + 15; n = a + 4; j = 4; y = u + 8; a = r + 15; m = j + 3; x = b + 12; v = n + 14. If j = 4, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = a + 4 to v, which gives v = a + 18.\n2. Substitute a = r + 15 to v, which gives v = r + 33.\n3. Substitute r = c + 19 to v, which gives v = c + 52.\n4. Substitute c = m + 1 to v, which gives v = m + 53.\n5. Substitute m = j + 3 to v, which gives v = j + 56.\n6. Substitute j = 4 to v, which gives v = 60.\n\nThus, the final answer is v = \\boxed{60}.",
"index": 8900,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = j + 16; c = m + 1; p = s + 7; r = c + 19; s = y + 13; u = x + 15; n = a + 4; j = 4; y = u + 8; a = r + 15; m = j + 3; x = b + 12; v = n + 14. If j = 4, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"s": "j + 2", "p": "s + 18", "m": "p + 5", "b": "m + 10", "l": "b + 8", "z": "l + 15", "t": "j + 3", "o": "t + 15", "y": "o + 11", "f": "y + 18", "a": "f + 11", "w": "a + 5", "j": 17}, "premises": {"j": 17}, "target": "z"}, "answer": {"steps": [["l", "b + 8", "b + 23"], ["b", "m + 10", "m + 33"], ["m", "p + 5", "p + 38"], ["p", "s + 18", "s + 56"], ["s", "j + 2", "j + 58"], ["j", 17, "75"]], "target_var_name": "z", "target_value": 75, "value_dict": {"j": 17}, "is_reverse": true}} | 8,901 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = 17; z = l + 15; o = t + 15; l = b + 8; y = o + 11; f = y + 18; t = j + 3; a = f + 11; m = p + 5; p = s + 18; w = a + 5; s = j + 2; b = m + 10. If j = 17, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = b + 8 to z, which gives z = b + 23.\n2. Substitute b = m + 10 to z, which gives z = m + 33.\n3. Substitute m = p + 5 to z, which gives z = p + 38.\n4. Substitute p = s + 18 to z, which gives z = s + 56.\n5. Substitute s = j + 2 to z, which gives z = j + 58.\n6. Substitute j = 17 to z, which gives z = 75.\n\nThus, the final answer is z = \\boxed{75}.",
"index": 8901,
"question": "Consider a system of variables where each variable is defined as follows: j = 17; z = l + 15; o = t + 15; l = b + 8; y = o + 11; f = y + 18; t = j + 3; a = f + 11; m = p + 5; p = s + 18; w = a + 5; s = j + 2; b = m + 10. If j = 17, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"u": "b + 9", "t": "u + 4", "a": "t + 1", "k": "a + 15", "i": "k + 8", "z": "i + 18", "w": "b + 2", "f": "w + 19", "y": "f + 3", "g": "y + 7", "j": "g + 19", "o": "j + 20", "b": 2}, "premises": {"b": 2}, "target": "z"}, "answer": {"steps": [["i", "k + 8", "k + 26"], ["k", "a + 15", "a + 41"], ["a", "t + 1", "t + 42"], ["t", "u + 4", "u + 46"], ["u", "b + 9", "b + 55"], ["b", 2, "57"]], "target_var_name": "z", "target_value": 57, "value_dict": {"b": 2}, "is_reverse": true}} | 8,902 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = u + 4; i = k + 8; w = b + 2; y = f + 3; b = 2; u = b + 9; k = a + 15; z = i + 18; a = t + 1; f = w + 19; j = g + 19; o = j + 20; g = y + 7. Given that b = 2, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = k + 8 to z, which gives z = k + 26.\n2. Substitute k = a + 15 to z, which gives z = a + 41.\n3. Substitute a = t + 1 to z, which gives z = t + 42.\n4. Substitute t = u + 4 to z, which gives z = u + 46.\n5. Substitute u = b + 9 to z, which gives z = b + 55.\n6. Substitute b = 2 to z, which gives z = 57.\n\nThus, the final answer is z = \\boxed{57}.",
"index": 8902,
"question": "Suppose a collection of variables is related by the following definitions: t = u + 4; i = k + 8; w = b + 2; y = f + 3; b = 2; u = b + 9; k = a + 15; z = i + 18; a = t + 1; f = w + 19; j = g + 19; o = j + 20; g = y + 7. Given that b = 2, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"r": "z + 1", "e": "r + 8", "c": "e + 9", "y": "c + 16", "t": "y + 18", "x": "t + 2", "k": "z + 6", "s": "k + 10", "q": "s + 11", "f": "q + 6", "b": "f + 5", "u": "b + 7", "z": 14}, "premises": {"z": 14}, "target": "x"}, "answer": {"steps": [["t", "y + 18", "y + 20"], ["y", "c + 16", "c + 36"], ["c", "e + 9", "e + 45"], ["e", "r + 8", "r + 53"], ["r", "z + 1", "z + 54"], ["z", 14, "68"]], "target_var_name": "x", "target_value": 68, "value_dict": {"z": 14}, "is_reverse": true}} | 8,903 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = f + 5; q = s + 11; x = t + 2; e = r + 8; u = b + 7; t = y + 18; f = q + 6; r = z + 1; s = k + 10; k = z + 6; c = e + 9; z = 14; y = c + 16. If z = 14, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = y + 18 to x, which gives x = y + 20.\n2. Substitute y = c + 16 to x, which gives x = c + 36.\n3. Substitute c = e + 9 to x, which gives x = e + 45.\n4. Substitute e = r + 8 to x, which gives x = r + 53.\n5. Substitute r = z + 1 to x, which gives x = z + 54.\n6. Substitute z = 14 to x, which gives x = 68.\n\nThus, the final answer is x = \\boxed{68}.",
"index": 8903,
"question": "Consider a system of variables where each variable is defined as follows: b = f + 5; q = s + 11; x = t + 2; e = r + 8; u = b + 7; t = y + 18; f = q + 6; r = z + 1; s = k + 10; k = z + 6; c = e + 9; z = 14; y = c + 16. If z = 14, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"w": "x + 13", "l": "w + 20", "m": "l + 13", "t": "m + 18", "n": "t + 16", "c": "n + 20", "d": "x + 19", "b": "d + 5", "j": "b + 20", "z": "j + 1", "k": "z + 20", "h": "k + 14", "x": 3}, "premises": {"x": 3}, "target": "c"}, "answer": {"steps": [["n", "t + 16", "t + 36"], ["t", "m + 18", "m + 54"], ["m", "l + 13", "l + 67"], ["l", "w + 20", "w + 87"], ["w", "x + 13", "x + 100"], ["x", 3, "103"]], "target_var_name": "c", "target_value": 103, "value_dict": {"x": 3}, "is_reverse": true}} | 8,904 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = m + 18; m = l + 13; z = j + 1; d = x + 19; b = d + 5; l = w + 20; c = n + 20; x = 3; j = b + 20; n = t + 16; w = x + 13; k = z + 20; h = k + 14. If x = 3, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 103,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = t + 16 to c, which gives c = t + 36.\n2. Substitute t = m + 18 to c, which gives c = m + 54.\n3. Substitute m = l + 13 to c, which gives c = l + 67.\n4. Substitute l = w + 20 to c, which gives c = w + 87.\n5. Substitute w = x + 13 to c, which gives c = x + 100.\n6. Substitute x = 3 to c, which gives c = 103.\n\nThus, the final answer is c = \\boxed{103}.",
"index": 8904,
"question": "Consider a system of variables where each variable is defined as follows: t = m + 18; m = l + 13; z = j + 1; d = x + 19; b = d + 5; l = w + 20; c = n + 20; x = 3; j = b + 20; n = t + 16; w = x + 13; k = z + 20; h = k + 14. If x = 3, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"s": "c + 17", "t": "s + 17", "m": "t + 5", "p": "m + 15", "o": "p + 18", "z": "o + 20", "b": "c + 18", "l": "b + 17", "h": "l + 20", "j": "h + 6", "g": "j + 13", "y": "g + 12", "c": 11}, "premises": {"c": 11}, "target": "z"}, "answer": {"steps": [["o", "p + 18", "p + 38"], ["p", "m + 15", "m + 53"], ["m", "t + 5", "t + 58"], ["t", "s + 17", "s + 75"], ["s", "c + 17", "c + 92"], ["c", 11, "103"]], "target_var_name": "z", "target_value": 103, "value_dict": {"c": 11}, "is_reverse": true}} | 8,905 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = 11; m = t + 5; t = s + 17; y = g + 12; o = p + 18; h = l + 20; j = h + 6; l = b + 17; s = c + 17; b = c + 18; p = m + 15; z = o + 20; g = j + 13. Given that c = 11, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 103,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = p + 18 to z, which gives z = p + 38.\n2. Substitute p = m + 15 to z, which gives z = m + 53.\n3. Substitute m = t + 5 to z, which gives z = t + 58.\n4. Substitute t = s + 17 to z, which gives z = s + 75.\n5. Substitute s = c + 17 to z, which gives z = c + 92.\n6. Substitute c = 11 to z, which gives z = 103.\n\nThus, the final answer is z = \\boxed{103}.",
"index": 8905,
"question": "Suppose a collection of variables is related by the following definitions: c = 11; m = t + 5; t = s + 17; y = g + 12; o = p + 18; h = l + 20; j = h + 6; l = b + 17; s = c + 17; b = c + 18; p = m + 15; z = o + 20; g = j + 13. Given that c = 11, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"v": "t + 17", "b": "v + 3", "u": "b + 11", "l": "u + 14", "w": "l + 7", "z": "w + 10", "e": "t + 13", "d": "e + 19", "o": "d + 6", "m": "o + 7", "y": "m + 9", "x": "y + 4", "t": 6}, "premises": {"t": 6}, "target": "z"}, "answer": {"steps": [["w", "l + 7", "l + 17"], ["l", "u + 14", "u + 31"], ["u", "b + 11", "b + 42"], ["b", "v + 3", "v + 45"], ["v", "t + 17", "t + 62"], ["t", 6, "68"]], "target_var_name": "z", "target_value": 68, "value_dict": {"t": 6}, "is_reverse": true}} | 8,906 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = m + 9; e = t + 13; l = u + 14; d = e + 19; b = v + 3; m = o + 7; t = 6; z = w + 10; w = l + 7; x = y + 4; v = t + 17; o = d + 6; u = b + 11. If t = 6, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = l + 7 to z, which gives z = l + 17.\n2. Substitute l = u + 14 to z, which gives z = u + 31.\n3. Substitute u = b + 11 to z, which gives z = b + 42.\n4. Substitute b = v + 3 to z, which gives z = v + 45.\n5. Substitute v = t + 17 to z, which gives z = t + 62.\n6. Substitute t = 6 to z, which gives z = 68.\n\nThus, the final answer is z = \\boxed{68}.",
"index": 8906,
"question": "Consider a system of variables where each variable is defined as follows: y = m + 9; e = t + 13; l = u + 14; d = e + 19; b = v + 3; m = o + 7; t = 6; z = w + 10; w = l + 7; x = y + 4; v = t + 17; o = d + 6; u = b + 11. If t = 6, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"q": "s + 6", "e": "q + 4", "u": "e + 18", "g": "u + 19", "c": "g + 1", "h": "c + 9", "t": "s + 12", "x": "t + 20", "d": "x + 19", "o": "d + 9", "p": "o + 8", "j": "p + 10", "s": 5}, "premises": {"s": 5}, "target": "h"}, "answer": {"steps": [["c", "g + 1", "g + 10"], ["g", "u + 19", "u + 29"], ["u", "e + 18", "e + 47"], ["e", "q + 4", "q + 51"], ["q", "s + 6", "s + 57"], ["s", 5, "62"]], "target_var_name": "h", "target_value": 62, "value_dict": {"s": 5}, "is_reverse": true}} | 8,907 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = g + 1; d = x + 19; t = s + 12; e = q + 4; j = p + 10; q = s + 6; s = 5; g = u + 19; o = d + 9; x = t + 20; p = o + 8; h = c + 9; u = e + 18. If s = 5, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = g + 1 to h, which gives h = g + 10.\n2. Substitute g = u + 19 to h, which gives h = u + 29.\n3. Substitute u = e + 18 to h, which gives h = e + 47.\n4. Substitute e = q + 4 to h, which gives h = q + 51.\n5. Substitute q = s + 6 to h, which gives h = s + 57.\n6. Substitute s = 5 to h, which gives h = 62.\n\nThus, the final answer is h = \\boxed{62}.",
"index": 8907,
"question": "Consider a system of variables where each variable is defined as follows: c = g + 1; d = x + 19; t = s + 12; e = q + 4; j = p + 10; q = s + 6; s = 5; g = u + 19; o = d + 9; x = t + 20; p = o + 8; h = c + 9; u = e + 18. If s = 5, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"x": "d + 2", "l": "x + 2", "g": "l + 18", "u": "g + 3", "i": "u + 13", "y": "i + 17", "k": "d + 20", "r": "k + 16", "s": "r + 11", "h": "s + 20", "c": "h + 20", "w": "c + 6", "d": 20}, "premises": {"d": 20}, "target": "y"}, "answer": {"steps": [["i", "u + 13", "u + 30"], ["u", "g + 3", "g + 33"], ["g", "l + 18", "l + 51"], ["l", "x + 2", "x + 53"], ["x", "d + 2", "d + 55"], ["d", 20, "75"]], "target_var_name": "y", "target_value": 75, "value_dict": {"d": 20}, "is_reverse": true}} | 8,908 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = u + 13; c = h + 20; u = g + 3; l = x + 2; d = 20; w = c + 6; h = s + 20; x = d + 2; r = k + 16; s = r + 11; y = i + 17; k = d + 20; g = l + 18. If d = 20, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = u + 13 to y, which gives y = u + 30.\n2. Substitute u = g + 3 to y, which gives y = g + 33.\n3. Substitute g = l + 18 to y, which gives y = l + 51.\n4. Substitute l = x + 2 to y, which gives y = x + 53.\n5. Substitute x = d + 2 to y, which gives y = d + 55.\n6. Substitute d = 20 to y, which gives y = 75.\n\nThus, the final answer is y = \\boxed{75}.",
"index": 8908,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = u + 13; c = h + 20; u = g + 3; l = x + 2; d = 20; w = c + 6; h = s + 20; x = d + 2; r = k + 16; s = r + 11; y = i + 17; k = d + 20; g = l + 18. If d = 20, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"z": "y + 2", "d": "z + 19", "j": "d + 11", "x": "j + 9", "f": "x + 15", "u": "f + 2", "l": "y + 9", "v": "l + 6", "b": "v + 10", "i": "b + 3", "h": "i + 17", "k": "h + 3", "y": 3}, "premises": {"y": 3}, "target": "u"}, "answer": {"steps": [["f", "x + 15", "x + 17"], ["x", "j + 9", "j + 26"], ["j", "d + 11", "d + 37"], ["d", "z + 19", "z + 56"], ["z", "y + 2", "y + 58"], ["y", 3, "61"]], "target_var_name": "u", "target_value": 61, "value_dict": {"y": 3}, "is_reverse": true}} | 8,909 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = x + 15; l = y + 9; z = y + 2; x = j + 9; y = 3; v = l + 6; u = f + 2; k = h + 3; j = d + 11; d = z + 19; b = v + 10; h = i + 17; i = b + 3. If y = 3, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = x + 15 to u, which gives u = x + 17.\n2. Substitute x = j + 9 to u, which gives u = j + 26.\n3. Substitute j = d + 11 to u, which gives u = d + 37.\n4. Substitute d = z + 19 to u, which gives u = z + 56.\n5. Substitute z = y + 2 to u, which gives u = y + 58.\n6. Substitute y = 3 to u, which gives u = 61.\n\nThus, the final answer is u = \\boxed{61}.",
"index": 8909,
"question": "Consider a system of variables where each variable is defined as follows: f = x + 15; l = y + 9; z = y + 2; x = j + 9; y = 3; v = l + 6; u = f + 2; k = h + 3; j = d + 11; d = z + 19; b = v + 10; h = i + 17; i = b + 3. If y = 3, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"l": "o + 3", "m": "l + 4", "t": "m + 14", "z": "t + 16", "a": "z + 16", "b": "a + 2", "v": "o + 14", "g": "v + 17", "r": "g + 11", "k": "r + 13", "f": "k + 3", "d": "f + 9", "o": 13}, "premises": {"o": 13}, "target": "b"}, "answer": {"steps": [["a", "z + 16", "z + 18"], ["z", "t + 16", "t + 34"], ["t", "m + 14", "m + 48"], ["m", "l + 4", "l + 52"], ["l", "o + 3", "o + 55"], ["o", 13, "68"]], "target_var_name": "b", "target_value": 68, "value_dict": {"o": 13}, "is_reverse": true}} | 8,910 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = k + 3; o = 13; d = f + 9; t = m + 14; z = t + 16; l = o + 3; b = a + 2; a = z + 16; g = v + 17; k = r + 13; r = g + 11; v = o + 14; m = l + 4. Given that o = 13, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = z + 16 to b, which gives b = z + 18.\n2. Substitute z = t + 16 to b, which gives b = t + 34.\n3. Substitute t = m + 14 to b, which gives b = m + 48.\n4. Substitute m = l + 4 to b, which gives b = l + 52.\n5. Substitute l = o + 3 to b, which gives b = o + 55.\n6. Substitute o = 13 to b, which gives b = 68.\n\nThus, the final answer is b = \\boxed{68}.",
"index": 8910,
"question": "Suppose a collection of variables is related by the following definitions: f = k + 3; o = 13; d = f + 9; t = m + 14; z = t + 16; l = o + 3; b = a + 2; a = z + 16; g = v + 17; k = r + 13; r = g + 11; v = o + 14; m = l + 4. Given that o = 13, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"z": "a + 7", "t": "z + 14", "o": "t + 4", "b": "o + 19", "g": "b + 7", "x": "g + 18", "q": "a + 14", "s": "q + 5", "f": "s + 4", "i": "f + 3", "p": "i + 15", "c": "p + 5", "a": 2}, "premises": {"a": 2}, "target": "x"}, "answer": {"steps": [["g", "b + 7", "b + 25"], ["b", "o + 19", "o + 44"], ["o", "t + 4", "t + 48"], ["t", "z + 14", "z + 62"], ["z", "a + 7", "a + 69"], ["a", 2, "71"]], "target_var_name": "x", "target_value": 71, "value_dict": {"a": 2}, "is_reverse": true}} | 8,911 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = a + 7; f = s + 4; t = z + 14; q = a + 14; c = p + 5; i = f + 3; a = 2; s = q + 5; b = o + 19; o = t + 4; x = g + 18; p = i + 15; g = b + 7. If a = 2, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = b + 7 to x, which gives x = b + 25.\n2. Substitute b = o + 19 to x, which gives x = o + 44.\n3. Substitute o = t + 4 to x, which gives x = t + 48.\n4. Substitute t = z + 14 to x, which gives x = z + 62.\n5. Substitute z = a + 7 to x, which gives x = a + 69.\n6. Substitute a = 2 to x, which gives x = 71.\n\nThus, the final answer is x = \\boxed{71}.",
"index": 8911,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = a + 7; f = s + 4; t = z + 14; q = a + 14; c = p + 5; i = f + 3; a = 2; s = q + 5; b = o + 19; o = t + 4; x = g + 18; p = i + 15; g = b + 7. If a = 2, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"h": "s + 5", "q": "h + 18", "w": "q + 13", "x": "w + 12", "l": "x + 9", "j": "l + 15", "r": "s + 2", "c": "r + 17", "m": "c + 3", "g": "m + 16", "u": "g + 1", "v": "u + 12", "s": 15}, "premises": {"s": 15}, "target": "j"}, "answer": {"steps": [["l", "x + 9", "x + 24"], ["x", "w + 12", "w + 36"], ["w", "q + 13", "q + 49"], ["q", "h + 18", "h + 67"], ["h", "s + 5", "s + 72"], ["s", 15, "87"]], "target_var_name": "j", "target_value": 87, "value_dict": {"s": 15}, "is_reverse": true}} | 8,912 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = u + 12; u = g + 1; l = x + 9; x = w + 12; j = l + 15; c = r + 17; s = 15; q = h + 18; w = q + 13; m = c + 3; h = s + 5; g = m + 16; r = s + 2. If s = 15, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = x + 9 to j, which gives j = x + 24.\n2. Substitute x = w + 12 to j, which gives j = w + 36.\n3. Substitute w = q + 13 to j, which gives j = q + 49.\n4. Substitute q = h + 18 to j, which gives j = h + 67.\n5. Substitute h = s + 5 to j, which gives j = s + 72.\n6. Substitute s = 15 to j, which gives j = 87.\n\nThus, the final answer is j = \\boxed{87}.",
"index": 8912,
"question": "Consider a system of variables where each variable is defined as follows: v = u + 12; u = g + 1; l = x + 9; x = w + 12; j = l + 15; c = r + 17; s = 15; q = h + 18; w = q + 13; m = c + 3; h = s + 5; g = m + 16; r = s + 2. If s = 15, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"v": "u + 9", "w": "v + 8", "o": "w + 2", "n": "o + 2", "t": "n + 2", "d": "t + 10", "y": "u + 6", "c": "y + 10", "r": "c + 13", "f": "r + 8", "b": "f + 12", "g": "b + 2", "u": 13}, "premises": {"u": 13}, "target": "d"}, "answer": {"steps": [["t", "n + 2", "n + 12"], ["n", "o + 2", "o + 14"], ["o", "w + 2", "w + 16"], ["w", "v + 8", "v + 24"], ["v", "u + 9", "u + 33"], ["u", 13, "46"]], "target_var_name": "d", "target_value": 46, "value_dict": {"u": 13}, "is_reverse": true}} | 8,913 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = b + 2; y = u + 6; t = n + 2; u = 13; f = r + 8; n = o + 2; c = y + 10; r = c + 13; b = f + 12; w = v + 8; v = u + 9; d = t + 10; o = w + 2. If u = 13, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = n + 2 to d, which gives d = n + 12.\n2. Substitute n = o + 2 to d, which gives d = o + 14.\n3. Substitute o = w + 2 to d, which gives d = w + 16.\n4. Substitute w = v + 8 to d, which gives d = v + 24.\n5. Substitute v = u + 9 to d, which gives d = u + 33.\n6. Substitute u = 13 to d, which gives d = 46.\n\nThus, the final answer is d = \\boxed{46}.",
"index": 8913,
"question": "Consider a system of variables where each variable is defined as follows: g = b + 2; y = u + 6; t = n + 2; u = 13; f = r + 8; n = o + 2; c = y + 10; r = c + 13; b = f + 12; w = v + 8; v = u + 9; d = t + 10; o = w + 2. If u = 13, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"w": "i + 2", "q": "w + 13", "v": "q + 7", "c": "v + 10", "u": "c + 3", "k": "u + 14", "y": "i + 5", "s": "y + 10", "o": "s + 17", "e": "o + 13", "j": "e + 14", "g": "j + 7", "i": 8}, "premises": {"i": 8}, "target": "k"}, "answer": {"steps": [["u", "c + 3", "c + 17"], ["c", "v + 10", "v + 27"], ["v", "q + 7", "q + 34"], ["q", "w + 13", "w + 47"], ["w", "i + 2", "i + 49"], ["i", 8, "57"]], "target_var_name": "k", "target_value": 57, "value_dict": {"i": 8}, "is_reverse": true}} | 8,914 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = y + 10; g = j + 7; y = i + 5; o = s + 17; u = c + 3; q = w + 13; i = 8; v = q + 7; k = u + 14; c = v + 10; j = e + 14; w = i + 2; e = o + 13. If i = 8, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = c + 3 to k, which gives k = c + 17.\n2. Substitute c = v + 10 to k, which gives k = v + 27.\n3. Substitute v = q + 7 to k, which gives k = q + 34.\n4. Substitute q = w + 13 to k, which gives k = w + 47.\n5. Substitute w = i + 2 to k, which gives k = i + 49.\n6. Substitute i = 8 to k, which gives k = 57.\n\nThus, the final answer is k = \\boxed{57}.",
"index": 8914,
"question": "Consider a system of variables where each variable is defined as follows: s = y + 10; g = j + 7; y = i + 5; o = s + 17; u = c + 3; q = w + 13; i = 8; v = q + 7; k = u + 14; c = v + 10; j = e + 14; w = i + 2; e = o + 13. If i = 8, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"j": "h + 16", "m": "j + 12", "w": "m + 1", "s": "w + 20", "k": "s + 12", "b": "k + 20", "t": "h + 3", "e": "t + 20", "p": "e + 18", "y": "p + 19", "i": "y + 4", "f": "i + 1", "h": 7}, "premises": {"h": 7}, "target": "b"}, "answer": {"steps": [["k", "s + 12", "s + 32"], ["s", "w + 20", "w + 52"], ["w", "m + 1", "m + 53"], ["m", "j + 12", "j + 65"], ["j", "h + 16", "h + 81"], ["h", 7, "88"]], "target_var_name": "b", "target_value": 88, "value_dict": {"h": 7}, "is_reverse": true}} | 8,915 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = j + 12; y = p + 19; k = s + 12; f = i + 1; t = h + 3; p = e + 18; b = k + 20; j = h + 16; s = w + 20; i = y + 4; h = 7; w = m + 1; e = t + 20. Given that h = 7, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = s + 12 to b, which gives b = s + 32.\n2. Substitute s = w + 20 to b, which gives b = w + 52.\n3. Substitute w = m + 1 to b, which gives b = m + 53.\n4. Substitute m = j + 12 to b, which gives b = j + 65.\n5. Substitute j = h + 16 to b, which gives b = h + 81.\n6. Substitute h = 7 to b, which gives b = 88.\n\nThus, the final answer is b = \\boxed{88}.",
"index": 8915,
"question": "Suppose a collection of variables is related by the following definitions: m = j + 12; y = p + 19; k = s + 12; f = i + 1; t = h + 3; p = e + 18; b = k + 20; j = h + 16; s = w + 20; i = y + 4; h = 7; w = m + 1; e = t + 20. Given that h = 7, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"k": "i + 10", "h": "k + 19", "u": "h + 7", "l": "u + 3", "q": "l + 17", "j": "q + 13", "t": "i + 10", "m": "t + 10", "o": "m + 8", "s": "o + 18", "b": "s + 10", "n": "b + 19", "i": 16}, "premises": {"i": 16}, "target": "j"}, "answer": {"steps": [["q", "l + 17", "l + 30"], ["l", "u + 3", "u + 33"], ["u", "h + 7", "h + 40"], ["h", "k + 19", "k + 59"], ["k", "i + 10", "i + 69"], ["i", 16, "85"]], "target_var_name": "j", "target_value": 85, "value_dict": {"i": 16}, "is_reverse": true}} | 8,916 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = m + 8; u = h + 7; h = k + 19; l = u + 3; k = i + 10; m = t + 10; i = 16; q = l + 17; j = q + 13; b = s + 10; s = o + 18; t = i + 10; n = b + 19. Given that i = 16, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = l + 17 to j, which gives j = l + 30.\n2. Substitute l = u + 3 to j, which gives j = u + 33.\n3. Substitute u = h + 7 to j, which gives j = h + 40.\n4. Substitute h = k + 19 to j, which gives j = k + 59.\n5. Substitute k = i + 10 to j, which gives j = i + 69.\n6. Substitute i = 16 to j, which gives j = 85.\n\nThus, the final answer is j = \\boxed{85}.",
"index": 8916,
"question": "Suppose a collection of variables is related by the following definitions: o = m + 8; u = h + 7; h = k + 19; l = u + 3; k = i + 10; m = t + 10; i = 16; q = l + 17; j = q + 13; b = s + 10; s = o + 18; t = i + 10; n = b + 19. Given that i = 16, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"n": "v + 9", "z": "n + 12", "u": "z + 17", "w": "u + 13", "h": "w + 8", "f": "h + 20", "y": "v + 5", "k": "y + 20", "b": "k + 2", "s": "b + 5", "i": "s + 6", "l": "i + 12", "v": 14}, "premises": {"v": 14}, "target": "f"}, "answer": {"steps": [["h", "w + 8", "w + 28"], ["w", "u + 13", "u + 41"], ["u", "z + 17", "z + 58"], ["z", "n + 12", "n + 70"], ["n", "v + 9", "v + 79"], ["v", 14, "93"]], "target_var_name": "f", "target_value": 93, "value_dict": {"v": 14}, "is_reverse": true}} | 8,917 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = h + 20; i = s + 6; w = u + 13; n = v + 9; l = i + 12; b = k + 2; k = y + 20; u = z + 17; h = w + 8; y = v + 5; s = b + 5; z = n + 12; v = 14. If v = 14, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = w + 8 to f, which gives f = w + 28.\n2. Substitute w = u + 13 to f, which gives f = u + 41.\n3. Substitute u = z + 17 to f, which gives f = z + 58.\n4. Substitute z = n + 12 to f, which gives f = n + 70.\n5. Substitute n = v + 9 to f, which gives f = v + 79.\n6. Substitute v = 14 to f, which gives f = 93.\n\nThus, the final answer is f = \\boxed{93}.",
"index": 8917,
"question": "Consider a system of variables where each variable is defined as follows: f = h + 20; i = s + 6; w = u + 13; n = v + 9; l = i + 12; b = k + 2; k = y + 20; u = z + 17; h = w + 8; y = v + 5; s = b + 5; z = n + 12; v = 14. If v = 14, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"n": "x + 16", "o": "n + 3", "w": "o + 5", "j": "w + 11", "a": "j + 9", "e": "a + 10", "v": "x + 4", "d": "v + 10", "u": "d + 19", "c": "u + 3", "h": "c + 10", "y": "h + 17", "x": 9}, "premises": {"x": 9}, "target": "e"}, "answer": {"steps": [["a", "j + 9", "j + 19"], ["j", "w + 11", "w + 30"], ["w", "o + 5", "o + 35"], ["o", "n + 3", "n + 38"], ["n", "x + 16", "x + 54"], ["x", 9, "63"]], "target_var_name": "e", "target_value": 63, "value_dict": {"x": 9}, "is_reverse": true}} | 8,918 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = o + 5; c = u + 3; n = x + 16; d = v + 10; o = n + 3; v = x + 4; u = d + 19; x = 9; h = c + 10; a = j + 9; j = w + 11; e = a + 10; y = h + 17. If x = 9, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = j + 9 to e, which gives e = j + 19.\n2. Substitute j = w + 11 to e, which gives e = w + 30.\n3. Substitute w = o + 5 to e, which gives e = o + 35.\n4. Substitute o = n + 3 to e, which gives e = n + 38.\n5. Substitute n = x + 16 to e, which gives e = x + 54.\n6. Substitute x = 9 to e, which gives e = 63.\n\nThus, the final answer is e = \\boxed{63}.",
"index": 8918,
"question": "Consider a system of variables where each variable is defined as follows: w = o + 5; c = u + 3; n = x + 16; d = v + 10; o = n + 3; v = x + 4; u = d + 19; x = 9; h = c + 10; a = j + 9; j = w + 11; e = a + 10; y = h + 17. If x = 9, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"u": "a + 12", "q": "u + 12", "m": "q + 2", "k": "m + 2", "b": "k + 5", "e": "b + 13", "y": "a + 1", "g": "y + 20", "w": "g + 12", "h": "w + 18", "f": "h + 14", "o": "f + 6", "a": 7}, "premises": {"a": 7}, "target": "e"}, "answer": {"steps": [["b", "k + 5", "k + 18"], ["k", "m + 2", "m + 20"], ["m", "q + 2", "q + 22"], ["q", "u + 12", "u + 34"], ["u", "a + 12", "a + 46"], ["a", 7, "53"]], "target_var_name": "e", "target_value": 53, "value_dict": {"a": 7}, "is_reverse": true}} | 8,919 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = k + 5; g = y + 20; f = h + 14; m = q + 2; u = a + 12; h = w + 18; y = a + 1; e = b + 13; k = m + 2; a = 7; o = f + 6; q = u + 12; w = g + 12. Given that a = 7, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = k + 5 to e, which gives e = k + 18.\n2. Substitute k = m + 2 to e, which gives e = m + 20.\n3. Substitute m = q + 2 to e, which gives e = q + 22.\n4. Substitute q = u + 12 to e, which gives e = u + 34.\n5. Substitute u = a + 12 to e, which gives e = a + 46.\n6. Substitute a = 7 to e, which gives e = 53.\n\nThus, the final answer is e = \\boxed{53}.",
"index": 8919,
"question": "Suppose a collection of variables is related by the following definitions: b = k + 5; g = y + 20; f = h + 14; m = q + 2; u = a + 12; h = w + 18; y = a + 1; e = b + 13; k = m + 2; a = 7; o = f + 6; q = u + 12; w = g + 12. Given that a = 7, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"f": "h + 18", "l": "f + 4", "a": "l + 15", "r": "a + 16", "n": "r + 10", "w": "n + 14", "q": "h + 16", "u": "q + 9", "k": "u + 13", "x": "k + 19", "s": "x + 14", "v": "s + 11", "h": 2}, "premises": {"h": 2}, "target": "w"}, "answer": {"steps": [["n", "r + 10", "r + 24"], ["r", "a + 16", "a + 40"], ["a", "l + 15", "l + 55"], ["l", "f + 4", "f + 59"], ["f", "h + 18", "h + 77"], ["h", 2, "79"]], "target_var_name": "w", "target_value": 79, "value_dict": {"h": 2}, "is_reverse": true}} | 8,920 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = h + 16; x = k + 19; v = s + 11; f = h + 18; h = 2; u = q + 9; l = f + 4; k = u + 13; a = l + 15; n = r + 10; w = n + 14; r = a + 16; s = x + 14. Given that h = 2, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = r + 10 to w, which gives w = r + 24.\n2. Substitute r = a + 16 to w, which gives w = a + 40.\n3. Substitute a = l + 15 to w, which gives w = l + 55.\n4. Substitute l = f + 4 to w, which gives w = f + 59.\n5. Substitute f = h + 18 to w, which gives w = h + 77.\n6. Substitute h = 2 to w, which gives w = 79.\n\nThus, the final answer is w = \\boxed{79}.",
"index": 8920,
"question": "Suppose a collection of variables is related by the following definitions: q = h + 16; x = k + 19; v = s + 11; f = h + 18; h = 2; u = q + 9; l = f + 4; k = u + 13; a = l + 15; n = r + 10; w = n + 14; r = a + 16; s = x + 14. Given that h = 2, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"e": "c + 4", "s": "e + 19", "w": "s + 6", "k": "w + 8", "o": "k + 11", "f": "o + 19", "i": "c + 2", "p": "i + 18", "z": "p + 1", "b": "z + 1", "h": "b + 7", "a": "h + 8", "c": 4}, "premises": {"c": 4}, "target": "f"}, "answer": {"steps": [["o", "k + 11", "k + 30"], ["k", "w + 8", "w + 38"], ["w", "s + 6", "s + 44"], ["s", "e + 19", "e + 63"], ["e", "c + 4", "c + 67"], ["c", 4, "71"]], "target_var_name": "f", "target_value": 71, "value_dict": {"c": 4}, "is_reverse": true}} | 8,921 | 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 = z + 1; s = e + 19; c = 4; a = h + 8; o = k + 11; k = w + 8; z = p + 1; i = c + 2; p = i + 18; h = b + 7; f = o + 19; e = c + 4; w = s + 6. If c = 4, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = k + 11 to f, which gives f = k + 30.\n2. Substitute k = w + 8 to f, which gives f = w + 38.\n3. Substitute w = s + 6 to f, which gives f = s + 44.\n4. Substitute s = e + 19 to f, which gives f = e + 63.\n5. Substitute e = c + 4 to f, which gives f = c + 67.\n6. Substitute c = 4 to f, which gives f = 71.\n\nThus, the final answer is f = \\boxed{71}.",
"index": 8921,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = z + 1; s = e + 19; c = 4; a = h + 8; o = k + 11; k = w + 8; z = p + 1; i = c + 2; p = i + 18; h = b + 7; f = o + 19; e = c + 4; w = s + 6. If c = 4, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"k": "h + 11", "q": "k + 14", "s": "q + 9", "d": "s + 4", "g": "d + 12", "n": "g + 10", "e": "h + 1", "r": "e + 8", "y": "r + 12", "u": "y + 14", "t": "u + 1", "c": "t + 19", "h": 13}, "premises": {"h": 13}, "target": "n"}, "answer": {"steps": [["g", "d + 12", "d + 22"], ["d", "s + 4", "s + 26"], ["s", "q + 9", "q + 35"], ["q", "k + 14", "k + 49"], ["k", "h + 11", "h + 60"], ["h", 13, "73"]], "target_var_name": "n", "target_value": 73, "value_dict": {"h": 13}, "is_reverse": true}} | 8,922 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = d + 12; c = t + 19; h = 13; d = s + 4; y = r + 12; t = u + 1; n = g + 10; k = h + 11; r = e + 8; s = q + 9; u = y + 14; q = k + 14; e = h + 1. Given that h = 13, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = d + 12 to n, which gives n = d + 22.\n2. Substitute d = s + 4 to n, which gives n = s + 26.\n3. Substitute s = q + 9 to n, which gives n = q + 35.\n4. Substitute q = k + 14 to n, which gives n = k + 49.\n5. Substitute k = h + 11 to n, which gives n = h + 60.\n6. Substitute h = 13 to n, which gives n = 73.\n\nThus, the final answer is n = \\boxed{73}.",
"index": 8922,
"question": "Suppose a collection of variables is related by the following definitions: g = d + 12; c = t + 19; h = 13; d = s + 4; y = r + 12; t = u + 1; n = g + 10; k = h + 11; r = e + 8; s = q + 9; u = y + 14; q = k + 14; e = h + 1. Given that h = 13, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"b": "m + 5", "x": "b + 8", "s": "x + 1", "a": "s + 3", "k": "a + 14", "g": "k + 15", "i": "m + 6", "h": "i + 18", "y": "h + 8", "c": "y + 18", "e": "c + 13", "w": "e + 2", "m": 16}, "premises": {"m": 16}, "target": "g"}, "answer": {"steps": [["k", "a + 14", "a + 29"], ["a", "s + 3", "s + 32"], ["s", "x + 1", "x + 33"], ["x", "b + 8", "b + 41"], ["b", "m + 5", "m + 46"], ["m", 16, "62"]], "target_var_name": "g", "target_value": 62, "value_dict": {"m": 16}, "is_reverse": true}} | 8,923 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = c + 13; k = a + 14; g = k + 15; h = i + 18; c = y + 18; i = m + 6; a = s + 3; s = x + 1; b = m + 5; y = h + 8; m = 16; w = e + 2; x = b + 8. Given that m = 16, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = a + 14 to g, which gives g = a + 29.\n2. Substitute a = s + 3 to g, which gives g = s + 32.\n3. Substitute s = x + 1 to g, which gives g = x + 33.\n4. Substitute x = b + 8 to g, which gives g = b + 41.\n5. Substitute b = m + 5 to g, which gives g = m + 46.\n6. Substitute m = 16 to g, which gives g = 62.\n\nThus, the final answer is g = \\boxed{62}.",
"index": 8923,
"question": "Suppose a collection of variables is related by the following definitions: e = c + 13; k = a + 14; g = k + 15; h = i + 18; c = y + 18; i = m + 6; a = s + 3; s = x + 1; b = m + 5; y = h + 8; m = 16; w = e + 2; x = b + 8. Given that m = 16, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"e": "k + 9", "o": "e + 15", "c": "o + 8", "v": "c + 4", "m": "v + 3", "i": "m + 19", "y": "k + 5", "b": "y + 1", "r": "b + 19", "s": "r + 1", "g": "s + 20", "w": "g + 20", "k": 7}, "premises": {"k": 7}, "target": "i"}, "answer": {"steps": [["m", "v + 3", "v + 22"], ["v", "c + 4", "c + 26"], ["c", "o + 8", "o + 34"], ["o", "e + 15", "e + 49"], ["e", "k + 9", "k + 58"], ["k", 7, "65"]], "target_var_name": "i", "target_value": 65, "value_dict": {"k": 7}, "is_reverse": true}} | 8,924 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = b + 19; v = c + 4; i = m + 19; g = s + 20; b = y + 1; o = e + 15; c = o + 8; s = r + 1; w = g + 20; e = k + 9; m = v + 3; y = k + 5; k = 7. Given that k = 7, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = v + 3 to i, which gives i = v + 22.\n2. Substitute v = c + 4 to i, which gives i = c + 26.\n3. Substitute c = o + 8 to i, which gives i = o + 34.\n4. Substitute o = e + 15 to i, which gives i = e + 49.\n5. Substitute e = k + 9 to i, which gives i = k + 58.\n6. Substitute k = 7 to i, which gives i = 65.\n\nThus, the final answer is i = \\boxed{65}.",
"index": 8924,
"question": "Suppose a collection of variables is related by the following definitions: r = b + 19; v = c + 4; i = m + 19; g = s + 20; b = y + 1; o = e + 15; c = o + 8; s = r + 1; w = g + 20; e = k + 9; m = v + 3; y = k + 5; k = 7. Given that k = 7, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"j": "i + 1", "u": "j + 17", "l": "u + 3", "x": "l + 4", "o": "x + 15", "a": "o + 3", "w": "i + 16", "r": "w + 6", "m": "r + 13", "v": "m + 8", "s": "v + 12", "g": "s + 9", "i": 11}, "premises": {"i": 11}, "target": "a"}, "answer": {"steps": [["o", "x + 15", "x + 18"], ["x", "l + 4", "l + 22"], ["l", "u + 3", "u + 25"], ["u", "j + 17", "j + 42"], ["j", "i + 1", "i + 43"], ["i", 11, "54"]], "target_var_name": "a", "target_value": 54, "value_dict": {"i": 11}, "is_reverse": true}} | 8,925 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = j + 17; o = x + 15; m = r + 13; a = o + 3; g = s + 9; x = l + 4; w = i + 16; v = m + 8; s = v + 12; j = i + 1; l = u + 3; r = w + 6; i = 11. Given that i = 11, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = x + 15 to a, which gives a = x + 18.\n2. Substitute x = l + 4 to a, which gives a = l + 22.\n3. Substitute l = u + 3 to a, which gives a = u + 25.\n4. Substitute u = j + 17 to a, which gives a = j + 42.\n5. Substitute j = i + 1 to a, which gives a = i + 43.\n6. Substitute i = 11 to a, which gives a = 54.\n\nThus, the final answer is a = \\boxed{54}.",
"index": 8925,
"question": "Suppose a collection of variables is related by the following definitions: u = j + 17; o = x + 15; m = r + 13; a = o + 3; g = s + 9; x = l + 4; w = i + 16; v = m + 8; s = v + 12; j = i + 1; l = u + 3; r = w + 6; i = 11. Given that i = 11, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"s": "w + 11", "v": "s + 8", "l": "v + 18", "e": "l + 15", "k": "e + 9", "p": "k + 4", "t": "w + 18", "i": "t + 14", "o": "i + 4", "y": "o + 11", "m": "y + 10", "z": "m + 2", "w": 17}, "premises": {"w": 17}, "target": "p"}, "answer": {"steps": [["k", "e + 9", "e + 13"], ["e", "l + 15", "l + 28"], ["l", "v + 18", "v + 46"], ["v", "s + 8", "s + 54"], ["s", "w + 11", "w + 65"], ["w", 17, "82"]], "target_var_name": "p", "target_value": 82, "value_dict": {"w": 17}, "is_reverse": true}} | 8,926 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = y + 10; l = v + 18; s = w + 11; y = o + 11; p = k + 4; z = m + 2; v = s + 8; e = l + 15; k = e + 9; i = t + 14; w = 17; o = i + 4; t = w + 18. If w = 17, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = e + 9 to p, which gives p = e + 13.\n2. Substitute e = l + 15 to p, which gives p = l + 28.\n3. Substitute l = v + 18 to p, which gives p = v + 46.\n4. Substitute v = s + 8 to p, which gives p = s + 54.\n5. Substitute s = w + 11 to p, which gives p = w + 65.\n6. Substitute w = 17 to p, which gives p = 82.\n\nThus, the final answer is p = \\boxed{82}.",
"index": 8926,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = y + 10; l = v + 18; s = w + 11; y = o + 11; p = k + 4; z = m + 2; v = s + 8; e = l + 15; k = e + 9; i = t + 14; w = 17; o = i + 4; t = w + 18. If w = 17, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"r": "p + 6", "d": "r + 13", "k": "d + 11", "c": "k + 4", "f": "c + 5", "x": "f + 14", "o": "p + 17", "g": "o + 20", "i": "g + 20", "v": "i + 14", "m": "v + 15", "a": "m + 4", "p": 1}, "premises": {"p": 1}, "target": "x"}, "answer": {"steps": [["f", "c + 5", "c + 19"], ["c", "k + 4", "k + 23"], ["k", "d + 11", "d + 34"], ["d", "r + 13", "r + 47"], ["r", "p + 6", "p + 53"], ["p", 1, "54"]], "target_var_name": "x", "target_value": 54, "value_dict": {"p": 1}, "is_reverse": true}} | 8,927 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = p + 6; d = r + 13; i = g + 20; g = o + 20; v = i + 14; k = d + 11; m = v + 15; f = c + 5; o = p + 17; p = 1; x = f + 14; c = k + 4; a = m + 4. If p = 1, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = c + 5 to x, which gives x = c + 19.\n2. Substitute c = k + 4 to x, which gives x = k + 23.\n3. Substitute k = d + 11 to x, which gives x = d + 34.\n4. Substitute d = r + 13 to x, which gives x = r + 47.\n5. Substitute r = p + 6 to x, which gives x = p + 53.\n6. Substitute p = 1 to x, which gives x = 54.\n\nThus, the final answer is x = \\boxed{54}.",
"index": 8927,
"question": "Consider a system of variables where each variable is defined as follows: r = p + 6; d = r + 13; i = g + 20; g = o + 20; v = i + 14; k = d + 11; m = v + 15; f = c + 5; o = p + 17; p = 1; x = f + 14; c = k + 4; a = m + 4. If p = 1, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"r": "x + 5", "o": "r + 11", "n": "o + 19", "p": "n + 1", "w": "p + 14", "y": "w + 5", "t": "x + 15", "i": "t + 19", "d": "i + 16", "l": "d + 18", "f": "l + 9", "g": "f + 9", "x": 19}, "premises": {"x": 19}, "target": "y"}, "answer": {"steps": [["w", "p + 14", "p + 19"], ["p", "n + 1", "n + 20"], ["n", "o + 19", "o + 39"], ["o", "r + 11", "r + 50"], ["r", "x + 5", "x + 55"], ["x", 19, "74"]], "target_var_name": "y", "target_value": 74, "value_dict": {"x": 19}, "is_reverse": true}} | 8,928 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = t + 19; g = f + 9; d = i + 16; x = 19; p = n + 1; o = r + 11; w = p + 14; n = o + 19; f = l + 9; y = w + 5; t = x + 15; l = d + 18; r = x + 5. If x = 19, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = p + 14 to y, which gives y = p + 19.\n2. Substitute p = n + 1 to y, which gives y = n + 20.\n3. Substitute n = o + 19 to y, which gives y = o + 39.\n4. Substitute o = r + 11 to y, which gives y = r + 50.\n5. Substitute r = x + 5 to y, which gives y = x + 55.\n6. Substitute x = 19 to y, which gives y = 74.\n\nThus, the final answer is y = \\boxed{74}.",
"index": 8928,
"question": "Consider a system of variables where each variable is defined as follows: i = t + 19; g = f + 9; d = i + 16; x = 19; p = n + 1; o = r + 11; w = p + 14; n = o + 19; f = l + 9; y = w + 5; t = x + 15; l = d + 18; r = x + 5. If x = 19, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"h": "j + 18", "p": "h + 11", "s": "p + 9", "t": "s + 11", "q": "t + 5", "i": "q + 3", "l": "j + 7", "o": "l + 10", "b": "o + 12", "a": "b + 5", "x": "a + 1", "e": "x + 9", "j": 19}, "premises": {"j": 19}, "target": "i"}, "answer": {"steps": [["q", "t + 5", "t + 8"], ["t", "s + 11", "s + 19"], ["s", "p + 9", "p + 28"], ["p", "h + 11", "h + 39"], ["h", "j + 18", "j + 57"], ["j", 19, "76"]], "target_var_name": "i", "target_value": 76, "value_dict": {"j": 19}, "is_reverse": true}} | 8,929 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = j + 18; b = o + 12; a = b + 5; x = a + 1; i = q + 3; o = l + 10; j = 19; e = x + 9; p = h + 11; q = t + 5; s = p + 9; t = s + 11; l = j + 7. If j = 19, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = t + 5 to i, which gives i = t + 8.\n2. Substitute t = s + 11 to i, which gives i = s + 19.\n3. Substitute s = p + 9 to i, which gives i = p + 28.\n4. Substitute p = h + 11 to i, which gives i = h + 39.\n5. Substitute h = j + 18 to i, which gives i = j + 57.\n6. Substitute j = 19 to i, which gives i = 76.\n\nThus, the final answer is i = \\boxed{76}.",
"index": 8929,
"question": "Consider a system of variables where each variable is defined as follows: h = j + 18; b = o + 12; a = b + 5; x = a + 1; i = q + 3; o = l + 10; j = 19; e = x + 9; p = h + 11; q = t + 5; s = p + 9; t = s + 11; l = j + 7. If j = 19, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"j": "z + 14", "k": "j + 2", "b": "k + 10", "m": "b + 9", "q": "m + 17", "v": "q + 11", "o": "z + 10", "x": "o + 16", "i": "x + 14", "n": "i + 12", "c": "n + 1", "w": "c + 15", "z": 15}, "premises": {"z": 15}, "target": "v"}, "answer": {"steps": [["q", "m + 17", "m + 28"], ["m", "b + 9", "b + 37"], ["b", "k + 10", "k + 47"], ["k", "j + 2", "j + 49"], ["j", "z + 14", "z + 63"], ["z", 15, "78"]], "target_var_name": "v", "target_value": 78, "value_dict": {"z": 15}, "is_reverse": true}} | 8,930 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = x + 14; k = j + 2; z = 15; q = m + 17; b = k + 10; n = i + 12; x = o + 16; m = b + 9; w = c + 15; j = z + 14; c = n + 1; o = z + 10; v = q + 11. If z = 15, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = m + 17 to v, which gives v = m + 28.\n2. Substitute m = b + 9 to v, which gives v = b + 37.\n3. Substitute b = k + 10 to v, which gives v = k + 47.\n4. Substitute k = j + 2 to v, which gives v = j + 49.\n5. Substitute j = z + 14 to v, which gives v = z + 63.\n6. Substitute z = 15 to v, which gives v = 78.\n\nThus, the final answer is v = \\boxed{78}.",
"index": 8930,
"question": "Consider a system of variables where each variable is defined as follows: i = x + 14; k = j + 2; z = 15; q = m + 17; b = k + 10; n = i + 12; x = o + 16; m = b + 9; w = c + 15; j = z + 14; c = n + 1; o = z + 10; v = q + 11. If z = 15, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"i": "j + 17", "a": "i + 8", "c": "a + 9", "q": "c + 18", "o": "q + 17", "l": "o + 7", "k": "j + 4", "n": "k + 1", "t": "n + 7", "w": "t + 20", "b": "w + 11", "p": "b + 19", "j": 3}, "premises": {"j": 3}, "target": "l"}, "answer": {"steps": [["o", "q + 17", "q + 24"], ["q", "c + 18", "c + 42"], ["c", "a + 9", "a + 51"], ["a", "i + 8", "i + 59"], ["i", "j + 17", "j + 76"], ["j", 3, "79"]], "target_var_name": "l", "target_value": 79, "value_dict": {"j": 3}, "is_reverse": true}} | 8,931 | 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 = j + 4; o = q + 17; t = n + 7; i = j + 17; w = t + 20; p = b + 19; n = k + 1; j = 3; l = o + 7; c = a + 9; a = i + 8; q = c + 18; b = w + 11. If j = 3, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = q + 17 to l, which gives l = q + 24.\n2. Substitute q = c + 18 to l, which gives l = c + 42.\n3. Substitute c = a + 9 to l, which gives l = a + 51.\n4. Substitute a = i + 8 to l, which gives l = i + 59.\n5. Substitute i = j + 17 to l, which gives l = j + 76.\n6. Substitute j = 3 to l, which gives l = 79.\n\nThus, the final answer is l = \\boxed{79}.",
"index": 8931,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = j + 4; o = q + 17; t = n + 7; i = j + 17; w = t + 20; p = b + 19; n = k + 1; j = 3; l = o + 7; c = a + 9; a = i + 8; q = c + 18; b = w + 11. If j = 3, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"z": "j + 1", "h": "z + 17", "r": "h + 7", "g": "r + 11", "f": "g + 11", "m": "f + 11", "q": "j + 2", "i": "q + 14", "s": "i + 19", "v": "s + 3", "l": "v + 4", "a": "l + 16", "j": 2}, "premises": {"j": 2}, "target": "m"}, "answer": {"steps": [["f", "g + 11", "g + 22"], ["g", "r + 11", "r + 33"], ["r", "h + 7", "h + 40"], ["h", "z + 17", "z + 57"], ["z", "j + 1", "j + 58"], ["j", 2, "60"]], "target_var_name": "m", "target_value": 60, "value_dict": {"j": 2}, "is_reverse": true}} | 8,932 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = f + 11; q = j + 2; r = h + 7; a = l + 16; v = s + 3; g = r + 11; j = 2; s = i + 19; h = z + 17; i = q + 14; f = g + 11; z = j + 1; l = v + 4. If j = 2, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = g + 11 to m, which gives m = g + 22.\n2. Substitute g = r + 11 to m, which gives m = r + 33.\n3. Substitute r = h + 7 to m, which gives m = h + 40.\n4. Substitute h = z + 17 to m, which gives m = z + 57.\n5. Substitute z = j + 1 to m, which gives m = j + 58.\n6. Substitute j = 2 to m, which gives m = 60.\n\nThus, the final answer is m = \\boxed{60}.",
"index": 8932,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = f + 11; q = j + 2; r = h + 7; a = l + 16; v = s + 3; g = r + 11; j = 2; s = i + 19; h = z + 17; i = q + 14; f = g + 11; z = j + 1; l = v + 4. If j = 2, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"o": "z + 11", "e": "o + 13", "y": "e + 9", "t": "y + 1", "v": "t + 18", "i": "v + 4", "u": "z + 3", "k": "u + 12", "g": "k + 7", "l": "g + 2", "f": "l + 4", "a": "f + 18", "z": 17}, "premises": {"z": 17}, "target": "i"}, "answer": {"steps": [["v", "t + 18", "t + 22"], ["t", "y + 1", "y + 23"], ["y", "e + 9", "e + 32"], ["e", "o + 13", "o + 45"], ["o", "z + 11", "z + 56"], ["z", 17, "73"]], "target_var_name": "i", "target_value": 73, "value_dict": {"z": 17}, "is_reverse": true}} | 8,933 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = e + 9; i = v + 4; u = z + 3; g = k + 7; t = y + 1; f = l + 4; v = t + 18; l = g + 2; e = o + 13; z = 17; a = f + 18; o = z + 11; k = u + 12. If z = 17, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = t + 18 to i, which gives i = t + 22.\n2. Substitute t = y + 1 to i, which gives i = y + 23.\n3. Substitute y = e + 9 to i, which gives i = e + 32.\n4. Substitute e = o + 13 to i, which gives i = o + 45.\n5. Substitute o = z + 11 to i, which gives i = z + 56.\n6. Substitute z = 17 to i, which gives i = 73.\n\nThus, the final answer is i = \\boxed{73}.",
"index": 8933,
"question": "Consider a system of variables where each variable is defined as follows: y = e + 9; i = v + 4; u = z + 3; g = k + 7; t = y + 1; f = l + 4; v = t + 18; l = g + 2; e = o + 13; z = 17; a = f + 18; o = z + 11; k = u + 12. If z = 17, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"f": "y + 2", "q": "f + 1", "s": "q + 13", "i": "s + 4", "t": "i + 19", "b": "t + 10", "a": "y + 6", "r": "a + 6", "o": "r + 9", "g": "o + 17", "p": "g + 11", "n": "p + 19", "y": 9}, "premises": {"y": 9}, "target": "b"}, "answer": {"steps": [["t", "i + 19", "i + 29"], ["i", "s + 4", "s + 33"], ["s", "q + 13", "q + 46"], ["q", "f + 1", "f + 47"], ["f", "y + 2", "y + 49"], ["y", 9, "58"]], "target_var_name": "b", "target_value": 58, "value_dict": {"y": 9}, "is_reverse": true}} | 8,934 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = r + 9; s = q + 13; g = o + 17; p = g + 11; a = y + 6; t = i + 19; f = y + 2; r = a + 6; q = f + 1; b = t + 10; i = s + 4; n = p + 19; y = 9. If y = 9, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = i + 19 to b, which gives b = i + 29.\n2. Substitute i = s + 4 to b, which gives b = s + 33.\n3. Substitute s = q + 13 to b, which gives b = q + 46.\n4. Substitute q = f + 1 to b, which gives b = f + 47.\n5. Substitute f = y + 2 to b, which gives b = y + 49.\n6. Substitute y = 9 to b, which gives b = 58.\n\nThus, the final answer is b = \\boxed{58}.",
"index": 8934,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = r + 9; s = q + 13; g = o + 17; p = g + 11; a = y + 6; t = i + 19; f = y + 2; r = a + 6; q = f + 1; b = t + 10; i = s + 4; n = p + 19; y = 9. If y = 9, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"p": "d + 2", "i": "p + 20", "k": "i + 14", "u": "k + 8", "r": "u + 11", "q": "r + 2", "h": "d + 11", "x": "h + 18", "y": "x + 4", "e": "y + 10", "o": "e + 12", "v": "o + 1", "d": 19}, "premises": {"d": 19}, "target": "q"}, "answer": {"steps": [["r", "u + 11", "u + 13"], ["u", "k + 8", "k + 21"], ["k", "i + 14", "i + 35"], ["i", "p + 20", "p + 55"], ["p", "d + 2", "d + 57"], ["d", 19, "76"]], "target_var_name": "q", "target_value": 76, "value_dict": {"d": 19}, "is_reverse": true}} | 8,935 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = p + 20; e = y + 10; k = i + 14; p = d + 2; y = x + 4; x = h + 18; d = 19; u = k + 8; r = u + 11; o = e + 12; h = d + 11; q = r + 2; v = o + 1. If d = 19, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = u + 11 to q, which gives q = u + 13.\n2. Substitute u = k + 8 to q, which gives q = k + 21.\n3. Substitute k = i + 14 to q, which gives q = i + 35.\n4. Substitute i = p + 20 to q, which gives q = p + 55.\n5. Substitute p = d + 2 to q, which gives q = d + 57.\n6. Substitute d = 19 to q, which gives q = 76.\n\nThus, the final answer is q = \\boxed{76}.",
"index": 8935,
"question": "Consider a system of variables where each variable is defined as follows: i = p + 20; e = y + 10; k = i + 14; p = d + 2; y = x + 4; x = h + 18; d = 19; u = k + 8; r = u + 11; o = e + 12; h = d + 11; q = r + 2; v = o + 1. If d = 19, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"t": "v + 12", "u": "t + 7", "z": "u + 11", "r": "z + 14", "x": "r + 20", "p": "x + 19", "b": "v + 1", "a": "b + 11", "y": "a + 18", "g": "y + 15", "h": "g + 6", "n": "h + 19", "v": 9}, "premises": {"v": 9}, "target": "p"}, "answer": {"steps": [["x", "r + 20", "r + 39"], ["r", "z + 14", "z + 53"], ["z", "u + 11", "u + 64"], ["u", "t + 7", "t + 71"], ["t", "v + 12", "v + 83"], ["v", 9, "92"]], "target_var_name": "p", "target_value": 92, "value_dict": {"v": 9}, "is_reverse": true}} | 8,936 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = z + 14; t = v + 12; g = y + 15; y = a + 18; p = x + 19; x = r + 20; a = b + 11; u = t + 7; h = g + 6; z = u + 11; n = h + 19; v = 9; b = v + 1. If v = 9, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = r + 20 to p, which gives p = r + 39.\n2. Substitute r = z + 14 to p, which gives p = z + 53.\n3. Substitute z = u + 11 to p, which gives p = u + 64.\n4. Substitute u = t + 7 to p, which gives p = t + 71.\n5. Substitute t = v + 12 to p, which gives p = v + 83.\n6. Substitute v = 9 to p, which gives p = 92.\n\nThus, the final answer is p = \\boxed{92}.",
"index": 8936,
"question": "Consider a system of variables where each variable is defined as follows: r = z + 14; t = v + 12; g = y + 15; y = a + 18; p = x + 19; x = r + 20; a = b + 11; u = t + 7; h = g + 6; z = u + 11; n = h + 19; v = 9; b = v + 1. If v = 9, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"y": "q + 6", "b": "y + 15", "c": "b + 9", "o": "c + 9", "t": "o + 5", "k": "t + 2", "n": "q + 14", "f": "n + 9", "e": "f + 8", "u": "e + 1", "h": "u + 11", "l": "h + 6", "q": 2}, "premises": {"q": 2}, "target": "k"}, "answer": {"steps": [["t", "o + 5", "o + 7"], ["o", "c + 9", "c + 16"], ["c", "b + 9", "b + 25"], ["b", "y + 15", "y + 40"], ["y", "q + 6", "q + 46"], ["q", 2, "48"]], "target_var_name": "k", "target_value": 48, "value_dict": {"q": 2}, "is_reverse": true}} | 8,937 | 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 = t + 2; o = c + 9; q = 2; n = q + 14; b = y + 15; y = q + 6; f = n + 9; e = f + 8; u = e + 1; t = o + 5; c = b + 9; l = h + 6; h = u + 11. If q = 2, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = o + 5 to k, which gives k = o + 7.\n2. Substitute o = c + 9 to k, which gives k = c + 16.\n3. Substitute c = b + 9 to k, which gives k = b + 25.\n4. Substitute b = y + 15 to k, which gives k = y + 40.\n5. Substitute y = q + 6 to k, which gives k = q + 46.\n6. Substitute q = 2 to k, which gives k = 48.\n\nThus, the final answer is k = \\boxed{48}.",
"index": 8937,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = t + 2; o = c + 9; q = 2; n = q + 14; b = y + 15; y = q + 6; f = n + 9; e = f + 8; u = e + 1; t = o + 5; c = b + 9; l = h + 6; h = u + 11. If q = 2, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"m": "x + 5", "p": "m + 6", "w": "p + 6", "j": "w + 10", "c": "j + 2", "f": "c + 20", "d": "x + 6", "o": "d + 8", "g": "o + 1", "b": "g + 15", "t": "b + 7", "r": "t + 13", "x": 2}, "premises": {"x": 2}, "target": "f"}, "answer": {"steps": [["c", "j + 2", "j + 22"], ["j", "w + 10", "w + 32"], ["w", "p + 6", "p + 38"], ["p", "m + 6", "m + 44"], ["m", "x + 5", "x + 49"], ["x", 2, "51"]], "target_var_name": "f", "target_value": 51, "value_dict": {"x": 2}, "is_reverse": true}} | 8,938 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = x + 5; r = t + 13; p = m + 6; j = w + 10; x = 2; w = p + 6; f = c + 20; o = d + 8; b = g + 15; g = o + 1; t = b + 7; c = j + 2; d = x + 6. Given that x = 2, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = j + 2 to f, which gives f = j + 22.\n2. Substitute j = w + 10 to f, which gives f = w + 32.\n3. Substitute w = p + 6 to f, which gives f = p + 38.\n4. Substitute p = m + 6 to f, which gives f = m + 44.\n5. Substitute m = x + 5 to f, which gives f = x + 49.\n6. Substitute x = 2 to f, which gives f = 51.\n\nThus, the final answer is f = \\boxed{51}.",
"index": 8938,
"question": "Suppose a collection of variables is related by the following definitions: m = x + 5; r = t + 13; p = m + 6; j = w + 10; x = 2; w = p + 6; f = c + 20; o = d + 8; b = g + 15; g = o + 1; t = b + 7; c = j + 2; d = x + 6. Given that x = 2, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"n": "b + 11", "i": "n + 16", "f": "i + 3", "t": "f + 9", "s": "t + 10", "j": "s + 12", "o": "b + 9", "w": "o + 15", "u": "w + 18", "g": "u + 13", "r": "g + 3", "z": "r + 9", "b": 5}, "premises": {"b": 5}, "target": "j"}, "answer": {"steps": [["s", "t + 10", "t + 22"], ["t", "f + 9", "f + 31"], ["f", "i + 3", "i + 34"], ["i", "n + 16", "n + 50"], ["n", "b + 11", "b + 61"], ["b", 5, "66"]], "target_var_name": "j", "target_value": 66, "value_dict": {"b": 5}, "is_reverse": true}} | 8,939 | 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 + 3; j = s + 12; w = o + 15; i = n + 16; z = r + 9; b = 5; t = f + 9; u = w + 18; r = g + 3; g = u + 13; s = t + 10; n = b + 11; o = b + 9. If b = 5, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = t + 10 to j, which gives j = t + 22.\n2. Substitute t = f + 9 to j, which gives j = f + 31.\n3. Substitute f = i + 3 to j, which gives j = i + 34.\n4. Substitute i = n + 16 to j, which gives j = n + 50.\n5. Substitute n = b + 11 to j, which gives j = b + 61.\n6. Substitute b = 5 to j, which gives j = 66.\n\nThus, the final answer is j = \\boxed{66}.",
"index": 8939,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = i + 3; j = s + 12; w = o + 15; i = n + 16; z = r + 9; b = 5; t = f + 9; u = w + 18; r = g + 3; g = u + 13; s = t + 10; n = b + 11; o = b + 9. If b = 5, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"e": "b + 14", "v": "e + 16", "y": "v + 19", "j": "y + 18", "r": "j + 15", "g": "r + 9", "p": "b + 8", "c": "p + 2", "m": "c + 16", "q": "m + 9", "o": "q + 4", "a": "o + 16", "b": 4}, "premises": {"b": 4}, "target": "g"}, "answer": {"steps": [["r", "j + 15", "j + 24"], ["j", "y + 18", "y + 42"], ["y", "v + 19", "v + 61"], ["v", "e + 16", "e + 77"], ["e", "b + 14", "b + 91"], ["b", 4, "95"]], "target_var_name": "g", "target_value": 95, "value_dict": {"b": 4}, "is_reverse": true}} | 8,940 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = c + 16; b = 4; y = v + 19; a = o + 16; o = q + 4; p = b + 8; j = y + 18; r = j + 15; q = m + 9; c = p + 2; g = r + 9; e = b + 14; v = e + 16. If b = 4, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = j + 15 to g, which gives g = j + 24.\n2. Substitute j = y + 18 to g, which gives g = y + 42.\n3. Substitute y = v + 19 to g, which gives g = v + 61.\n4. Substitute v = e + 16 to g, which gives g = e + 77.\n5. Substitute e = b + 14 to g, which gives g = b + 91.\n6. Substitute b = 4 to g, which gives g = 95.\n\nThus, the final answer is g = \\boxed{95}.",
"index": 8940,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = c + 16; b = 4; y = v + 19; a = o + 16; o = q + 4; p = b + 8; j = y + 18; r = j + 15; q = m + 9; c = p + 2; g = r + 9; e = b + 14; v = e + 16. If b = 4, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"p": "y + 16", "m": "p + 13", "f": "m + 5", "h": "f + 19", "c": "h + 7", "z": "c + 8", "w": "y + 6", "u": "w + 8", "d": "u + 15", "x": "d + 4", "l": "x + 3", "g": "l + 13", "y": 1}, "premises": {"y": 1}, "target": "z"}, "answer": {"steps": [["c", "h + 7", "h + 15"], ["h", "f + 19", "f + 34"], ["f", "m + 5", "m + 39"], ["m", "p + 13", "p + 52"], ["p", "y + 16", "y + 68"], ["y", 1, "69"]], "target_var_name": "z", "target_value": 69, "value_dict": {"y": 1}, "is_reverse": true}} | 8,941 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = c + 8; c = h + 7; l = x + 3; u = w + 8; h = f + 19; d = u + 15; m = p + 13; p = y + 16; y = 1; x = d + 4; g = l + 13; f = m + 5; w = y + 6. If y = 1, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = h + 7 to z, which gives z = h + 15.\n2. Substitute h = f + 19 to z, which gives z = f + 34.\n3. Substitute f = m + 5 to z, which gives z = m + 39.\n4. Substitute m = p + 13 to z, which gives z = p + 52.\n5. Substitute p = y + 16 to z, which gives z = y + 68.\n6. Substitute y = 1 to z, which gives z = 69.\n\nThus, the final answer is z = \\boxed{69}.",
"index": 8941,
"question": "Consider a system of variables where each variable is defined as follows: z = c + 8; c = h + 7; l = x + 3; u = w + 8; h = f + 19; d = u + 15; m = p + 13; p = y + 16; y = 1; x = d + 4; g = l + 13; f = m + 5; w = y + 6. If y = 1, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"n": "j + 20", "y": "n + 11", "r": "y + 5", "z": "r + 15", "b": "z + 12", "t": "b + 12", "h": "j + 16", "g": "h + 1", "x": "g + 3", "c": "x + 15", "f": "c + 10", "o": "f + 20", "j": 9}, "premises": {"j": 9}, "target": "t"}, "answer": {"steps": [["b", "z + 12", "z + 24"], ["z", "r + 15", "r + 39"], ["r", "y + 5", "y + 44"], ["y", "n + 11", "n + 55"], ["n", "j + 20", "j + 75"], ["j", 9, "84"]], "target_var_name": "t", "target_value": 84, "value_dict": {"j": 9}, "is_reverse": true}} | 8,942 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = y + 5; f = c + 10; z = r + 15; o = f + 20; t = b + 12; b = z + 12; g = h + 1; c = x + 15; j = 9; y = n + 11; h = j + 16; n = j + 20; x = g + 3. Given that j = 9, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = z + 12 to t, which gives t = z + 24.\n2. Substitute z = r + 15 to t, which gives t = r + 39.\n3. Substitute r = y + 5 to t, which gives t = y + 44.\n4. Substitute y = n + 11 to t, which gives t = n + 55.\n5. Substitute n = j + 20 to t, which gives t = j + 75.\n6. Substitute j = 9 to t, which gives t = 84.\n\nThus, the final answer is t = \\boxed{84}.",
"index": 8942,
"question": "Suppose a collection of variables is related by the following definitions: r = y + 5; f = c + 10; z = r + 15; o = f + 20; t = b + 12; b = z + 12; g = h + 1; c = x + 15; j = 9; y = n + 11; h = j + 16; n = j + 20; x = g + 3. Given that j = 9, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"t": "n + 5", "k": "t + 15", "w": "k + 12", "i": "w + 16", "r": "i + 10", "l": "r + 20", "s": "n + 18", "d": "s + 1", "u": "d + 1", "f": "u + 20", "b": "f + 20", "z": "b + 3", "n": 11}, "premises": {"n": 11}, "target": "l"}, "answer": {"steps": [["r", "i + 10", "i + 30"], ["i", "w + 16", "w + 46"], ["w", "k + 12", "k + 58"], ["k", "t + 15", "t + 73"], ["t", "n + 5", "n + 78"], ["n", 11, "89"]], "target_var_name": "l", "target_value": 89, "value_dict": {"n": 11}, "is_reverse": true}} | 8,943 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = k + 12; f = u + 20; n = 11; b = f + 20; z = b + 3; l = r + 20; d = s + 1; k = t + 15; i = w + 16; u = d + 1; s = n + 18; t = n + 5; r = i + 10. If n = 11, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = i + 10 to l, which gives l = i + 30.\n2. Substitute i = w + 16 to l, which gives l = w + 46.\n3. Substitute w = k + 12 to l, which gives l = k + 58.\n4. Substitute k = t + 15 to l, which gives l = t + 73.\n5. Substitute t = n + 5 to l, which gives l = n + 78.\n6. Substitute n = 11 to l, which gives l = 89.\n\nThus, the final answer is l = \\boxed{89}.",
"index": 8943,
"question": "Consider a system of variables where each variable is defined as follows: w = k + 12; f = u + 20; n = 11; b = f + 20; z = b + 3; l = r + 20; d = s + 1; k = t + 15; i = w + 16; u = d + 1; s = n + 18; t = n + 5; r = i + 10. If n = 11, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"y": "x + 2", "z": "y + 1", "n": "z + 9", "b": "n + 5", "w": "b + 20", "j": "w + 13", "m": "x + 7", "u": "m + 19", "a": "u + 14", "v": "a + 14", "k": "v + 13", "f": "k + 9", "x": 6}, "premises": {"x": 6}, "target": "j"}, "answer": {"steps": [["w", "b + 20", "b + 33"], ["b", "n + 5", "n + 38"], ["n", "z + 9", "z + 47"], ["z", "y + 1", "y + 48"], ["y", "x + 2", "x + 50"], ["x", 6, "56"]], "target_var_name": "j", "target_value": 56, "value_dict": {"x": 6}, "is_reverse": true}} | 8,944 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = m + 19; m = x + 7; f = k + 9; y = x + 2; v = a + 14; j = w + 13; a = u + 14; b = n + 5; w = b + 20; x = 6; z = y + 1; k = v + 13; n = z + 9. If x = 6, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = b + 20 to j, which gives j = b + 33.\n2. Substitute b = n + 5 to j, which gives j = n + 38.\n3. Substitute n = z + 9 to j, which gives j = z + 47.\n4. Substitute z = y + 1 to j, which gives j = y + 48.\n5. Substitute y = x + 2 to j, which gives j = x + 50.\n6. Substitute x = 6 to j, which gives j = 56.\n\nThus, the final answer is j = \\boxed{56}.",
"index": 8944,
"question": "Consider a system of variables where each variable is defined as follows: u = m + 19; m = x + 7; f = k + 9; y = x + 2; v = a + 14; j = w + 13; a = u + 14; b = n + 5; w = b + 20; x = 6; z = y + 1; k = v + 13; n = z + 9. If x = 6, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"r": "z + 17", "d": "r + 8", "o": "d + 2", "f": "o + 14", "g": "f + 2", "u": "g + 18", "i": "z + 11", "a": "i + 5", "m": "a + 14", "t": "m + 7", "s": "t + 1", "j": "s + 15", "z": 1}, "premises": {"z": 1}, "target": "u"}, "answer": {"steps": [["g", "f + 2", "f + 20"], ["f", "o + 14", "o + 34"], ["o", "d + 2", "d + 36"], ["d", "r + 8", "r + 44"], ["r", "z + 17", "z + 61"], ["z", 1, "62"]], "target_var_name": "u", "target_value": 62, "value_dict": {"z": 1}, "is_reverse": true}} | 8,945 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = d + 2; f = o + 14; u = g + 18; r = z + 17; s = t + 1; m = a + 14; t = m + 7; a = i + 5; g = f + 2; z = 1; j = s + 15; d = r + 8; i = z + 11. If z = 1, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = f + 2 to u, which gives u = f + 20.\n2. Substitute f = o + 14 to u, which gives u = o + 34.\n3. Substitute o = d + 2 to u, which gives u = d + 36.\n4. Substitute d = r + 8 to u, which gives u = r + 44.\n5. Substitute r = z + 17 to u, which gives u = z + 61.\n6. Substitute z = 1 to u, which gives u = 62.\n\nThus, the final answer is u = \\boxed{62}.",
"index": 8945,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = d + 2; f = o + 14; u = g + 18; r = z + 17; s = t + 1; m = a + 14; t = m + 7; a = i + 5; g = f + 2; z = 1; j = s + 15; d = r + 8; i = z + 11. If z = 1, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"x": "k + 14", "o": "x + 10", "g": "o + 2", "p": "g + 5", "c": "p + 8", "b": "c + 16", "m": "k + 10", "z": "m + 5", "w": "z + 5", "r": "w + 19", "f": "r + 7", "j": "f + 15", "k": 18}, "premises": {"k": 18}, "target": "b"}, "answer": {"steps": [["c", "p + 8", "p + 24"], ["p", "g + 5", "g + 29"], ["g", "o + 2", "o + 31"], ["o", "x + 10", "x + 41"], ["x", "k + 14", "k + 55"], ["k", 18, "73"]], "target_var_name": "b", "target_value": 73, "value_dict": {"k": 18}, "is_reverse": true}} | 8,946 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = k + 14; o = x + 10; j = f + 15; g = o + 2; c = p + 8; f = r + 7; m = k + 10; z = m + 5; p = g + 5; w = z + 5; r = w + 19; b = c + 16; k = 18. If k = 18, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = p + 8 to b, which gives b = p + 24.\n2. Substitute p = g + 5 to b, which gives b = g + 29.\n3. Substitute g = o + 2 to b, which gives b = o + 31.\n4. Substitute o = x + 10 to b, which gives b = x + 41.\n5. Substitute x = k + 14 to b, which gives b = k + 55.\n6. Substitute k = 18 to b, which gives b = 73.\n\nThus, the final answer is b = \\boxed{73}.",
"index": 8946,
"question": "Consider a system of variables where each variable is defined as follows: x = k + 14; o = x + 10; j = f + 15; g = o + 2; c = p + 8; f = r + 7; m = k + 10; z = m + 5; p = g + 5; w = z + 5; r = w + 19; b = c + 16; k = 18. If k = 18, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"b": "j + 7", "p": "b + 2", "h": "p + 18", "r": "h + 14", "l": "r + 14", "o": "l + 1", "d": "j + 16", "q": "d + 17", "k": "q + 2", "v": "k + 11", "u": "v + 7", "m": "u + 5", "j": 3}, "premises": {"j": 3}, "target": "o"}, "answer": {"steps": [["l", "r + 14", "r + 15"], ["r", "h + 14", "h + 29"], ["h", "p + 18", "p + 47"], ["p", "b + 2", "b + 49"], ["b", "j + 7", "j + 56"], ["j", 3, "59"]], "target_var_name": "o", "target_value": 59, "value_dict": {"j": 3}, "is_reverse": true}} | 8,947 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = u + 5; j = 3; k = q + 2; o = l + 1; l = r + 14; b = j + 7; v = k + 11; p = b + 2; u = v + 7; q = d + 17; r = h + 14; d = j + 16; h = p + 18. If j = 3, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = r + 14 to o, which gives o = r + 15.\n2. Substitute r = h + 14 to o, which gives o = h + 29.\n3. Substitute h = p + 18 to o, which gives o = p + 47.\n4. Substitute p = b + 2 to o, which gives o = b + 49.\n5. Substitute b = j + 7 to o, which gives o = j + 56.\n6. Substitute j = 3 to o, which gives o = 59.\n\nThus, the final answer is o = \\boxed{59}.",
"index": 8947,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = u + 5; j = 3; k = q + 2; o = l + 1; l = r + 14; b = j + 7; v = k + 11; p = b + 2; u = v + 7; q = d + 17; r = h + 14; d = j + 16; h = p + 18. If j = 3, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"o": "e + 16", "c": "o + 4", "n": "c + 14", "m": "n + 12", "a": "m + 16", "r": "a + 15", "u": "e + 1", "z": "u + 5", "y": "z + 16", "l": "y + 2", "s": "l + 13", "p": "s + 1", "e": 17}, "premises": {"e": 17}, "target": "r"}, "answer": {"steps": [["a", "m + 16", "m + 31"], ["m", "n + 12", "n + 43"], ["n", "c + 14", "c + 57"], ["c", "o + 4", "o + 61"], ["o", "e + 16", "e + 77"], ["e", 17, "94"]], "target_var_name": "r", "target_value": 94, "value_dict": {"e": 17}, "is_reverse": true}} | 8,948 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = m + 16; o = e + 16; y = z + 16; m = n + 12; l = y + 2; r = a + 15; e = 17; s = l + 13; n = c + 14; u = e + 1; c = o + 4; z = u + 5; p = s + 1. Given that e = 17, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = m + 16 to r, which gives r = m + 31.\n2. Substitute m = n + 12 to r, which gives r = n + 43.\n3. Substitute n = c + 14 to r, which gives r = c + 57.\n4. Substitute c = o + 4 to r, which gives r = o + 61.\n5. Substitute o = e + 16 to r, which gives r = e + 77.\n6. Substitute e = 17 to r, which gives r = 94.\n\nThus, the final answer is r = \\boxed{94}.",
"index": 8948,
"question": "Suppose a collection of variables is related by the following definitions: a = m + 16; o = e + 16; y = z + 16; m = n + 12; l = y + 2; r = a + 15; e = 17; s = l + 13; n = c + 14; u = e + 1; c = o + 4; z = u + 5; p = s + 1. Given that e = 17, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"d": "v + 15", "g": "d + 15", "z": "g + 7", "t": "z + 15", "p": "t + 16", "y": "p + 4", "x": "v + 6", "w": "x + 14", "b": "w + 3", "o": "b + 14", "l": "o + 9", "c": "l + 4", "v": 20}, "premises": {"v": 20}, "target": "y"}, "answer": {"steps": [["p", "t + 16", "t + 20"], ["t", "z + 15", "z + 35"], ["z", "g + 7", "g + 42"], ["g", "d + 15", "d + 57"], ["d", "v + 15", "v + 72"], ["v", 20, "92"]], "target_var_name": "y", "target_value": 92, "value_dict": {"v": 20}, "is_reverse": true}} | 8,949 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = w + 3; o = b + 14; c = l + 4; y = p + 4; t = z + 15; z = g + 7; g = d + 15; p = t + 16; v = 20; d = v + 15; l = o + 9; w = x + 14; x = v + 6. If v = 20, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = t + 16 to y, which gives y = t + 20.\n2. Substitute t = z + 15 to y, which gives y = z + 35.\n3. Substitute z = g + 7 to y, which gives y = g + 42.\n4. Substitute g = d + 15 to y, which gives y = d + 57.\n5. Substitute d = v + 15 to y, which gives y = v + 72.\n6. Substitute v = 20 to y, which gives y = 92.\n\nThus, the final answer is y = \\boxed{92}.",
"index": 8949,
"question": "Consider a system of variables where each variable is defined as follows: b = w + 3; o = b + 14; c = l + 4; y = p + 4; t = z + 15; z = g + 7; g = d + 15; p = t + 16; v = 20; d = v + 15; l = o + 9; w = x + 14; x = v + 6. If v = 20, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"f": "m + 16", "h": "f + 13", "y": "h + 11", "o": "y + 2", "n": "o + 3", "j": "n + 9", "a": "m + 19", "t": "a + 8", "l": "t + 11", "q": "l + 8", "i": "q + 2", "x": "i + 13", "m": 5}, "premises": {"m": 5}, "target": "j"}, "answer": {"steps": [["n", "o + 3", "o + 12"], ["o", "y + 2", "y + 14"], ["y", "h + 11", "h + 25"], ["h", "f + 13", "f + 38"], ["f", "m + 16", "m + 54"], ["m", 5, "59"]], "target_var_name": "j", "target_value": 59, "value_dict": {"m": 5}, "is_reverse": true}} | 8,950 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = q + 2; o = y + 2; l = t + 11; h = f + 13; q = l + 8; t = a + 8; n = o + 3; j = n + 9; f = m + 16; y = h + 11; m = 5; x = i + 13; a = m + 19. If m = 5, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = o + 3 to j, which gives j = o + 12.\n2. Substitute o = y + 2 to j, which gives j = y + 14.\n3. Substitute y = h + 11 to j, which gives j = h + 25.\n4. Substitute h = f + 13 to j, which gives j = f + 38.\n5. Substitute f = m + 16 to j, which gives j = m + 54.\n6. Substitute m = 5 to j, which gives j = 59.\n\nThus, the final answer is j = \\boxed{59}.",
"index": 8950,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = q + 2; o = y + 2; l = t + 11; h = f + 13; q = l + 8; t = a + 8; n = o + 3; j = n + 9; f = m + 16; y = h + 11; m = 5; x = i + 13; a = m + 19. If m = 5, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"y": "q + 14", "b": "y + 2", "m": "b + 19", "t": "m + 4", "u": "t + 6", "i": "u + 1", "e": "q + 20", "o": "e + 20", "l": "o + 7", "k": "l + 13", "s": "k + 15", "h": "s + 1", "q": 5}, "premises": {"q": 5}, "target": "i"}, "answer": {"steps": [["u", "t + 6", "t + 7"], ["t", "m + 4", "m + 11"], ["m", "b + 19", "b + 30"], ["b", "y + 2", "y + 32"], ["y", "q + 14", "q + 46"], ["q", 5, "51"]], "target_var_name": "i", "target_value": 51, "value_dict": {"q": 5}, "is_reverse": true}} | 8,951 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = s + 1; s = k + 15; b = y + 2; l = o + 7; q = 5; k = l + 13; y = q + 14; u = t + 6; t = m + 4; e = q + 20; o = e + 20; m = b + 19; i = u + 1. Given that q = 5, find the 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 u = t + 6 to i, which gives i = t + 7.\n2. Substitute t = m + 4 to i, which gives i = m + 11.\n3. Substitute m = b + 19 to i, which gives i = b + 30.\n4. Substitute b = y + 2 to i, which gives i = y + 32.\n5. Substitute y = q + 14 to i, which gives i = q + 46.\n6. Substitute q = 5 to i, which gives i = 51.\n\nThus, the final answer is i = \\boxed{51}.",
"index": 8951,
"question": "Suppose a collection of variables is related by the following definitions: h = s + 1; s = k + 15; b = y + 2; l = o + 7; q = 5; k = l + 13; y = q + 14; u = t + 6; t = m + 4; e = q + 20; o = e + 20; m = b + 19; i = u + 1. Given that q = 5, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"k": "n + 18", "u": "k + 3", "d": "u + 17", "f": "d + 14", "v": "f + 10", "z": "v + 16", "i": "n + 20", "r": "i + 3", "t": "r + 11", "m": "t + 9", "x": "m + 10", "g": "x + 16", "n": 15}, "premises": {"n": 15}, "target": "z"}, "answer": {"steps": [["v", "f + 10", "f + 26"], ["f", "d + 14", "d + 40"], ["d", "u + 17", "u + 57"], ["u", "k + 3", "k + 60"], ["k", "n + 18", "n + 78"], ["n", 15, "93"]], "target_var_name": "z", "target_value": 93, "value_dict": {"n": 15}, "is_reverse": true}} | 8,952 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = t + 9; r = i + 3; x = m + 10; n = 15; u = k + 3; z = v + 16; v = f + 10; d = u + 17; i = n + 20; k = n + 18; t = r + 11; f = d + 14; g = x + 16. Given that n = 15, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = f + 10 to z, which gives z = f + 26.\n2. Substitute f = d + 14 to z, which gives z = d + 40.\n3. Substitute d = u + 17 to z, which gives z = u + 57.\n4. Substitute u = k + 3 to z, which gives z = k + 60.\n5. Substitute k = n + 18 to z, which gives z = n + 78.\n6. Substitute n = 15 to z, which gives z = 93.\n\nThus, the final answer is z = \\boxed{93}.",
"index": 8952,
"question": "Suppose a collection of variables is related by the following definitions: m = t + 9; r = i + 3; x = m + 10; n = 15; u = k + 3; z = v + 16; v = f + 10; d = u + 17; i = n + 20; k = n + 18; t = r + 11; f = d + 14; g = x + 16. Given that n = 15, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"t": "v + 5", "i": "t + 10", "b": "i + 14", "h": "b + 8", "g": "h + 10", "x": "g + 18", "a": "v + 5", "y": "a + 16", "l": "y + 17", "e": "l + 19", "p": "e + 11", "w": "p + 8", "v": 16}, "premises": {"v": 16}, "target": "x"}, "answer": {"steps": [["g", "h + 10", "h + 28"], ["h", "b + 8", "b + 36"], ["b", "i + 14", "i + 50"], ["i", "t + 10", "t + 60"], ["t", "v + 5", "v + 65"], ["v", 16, "81"]], "target_var_name": "x", "target_value": 81, "value_dict": {"v": 16}, "is_reverse": true}} | 8,953 | 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 = e + 11; a = v + 5; w = p + 8; g = h + 10; t = v + 5; y = a + 16; b = i + 14; v = 16; h = b + 8; x = g + 18; i = t + 10; e = l + 19; l = y + 17. If v = 16, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = h + 10 to x, which gives x = h + 28.\n2. Substitute h = b + 8 to x, which gives x = b + 36.\n3. Substitute b = i + 14 to x, which gives x = i + 50.\n4. Substitute i = t + 10 to x, which gives x = t + 60.\n5. Substitute t = v + 5 to x, which gives x = v + 65.\n6. Substitute v = 16 to x, which gives x = 81.\n\nThus, the final answer is x = \\boxed{81}.",
"index": 8953,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = e + 11; a = v + 5; w = p + 8; g = h + 10; t = v + 5; y = a + 16; b = i + 14; v = 16; h = b + 8; x = g + 18; i = t + 10; e = l + 19; l = y + 17. If v = 16, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"w": "z + 3", "q": "w + 9", "j": "q + 17", "o": "j + 6", "i": "o + 8", "g": "i + 20", "k": "z + 19", "e": "k + 8", "v": "e + 4", "m": "v + 9", "h": "m + 18", "y": "h + 6", "z": 8}, "premises": {"z": 8}, "target": "g"}, "answer": {"steps": [["i", "o + 8", "o + 28"], ["o", "j + 6", "j + 34"], ["j", "q + 17", "q + 51"], ["q", "w + 9", "w + 60"], ["w", "z + 3", "z + 63"], ["z", 8, "71"]], "target_var_name": "g", "target_value": 71, "value_dict": {"z": 8}, "is_reverse": true}} | 8,954 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = o + 8; z = 8; e = k + 8; v = e + 4; q = w + 9; h = m + 18; k = z + 19; w = z + 3; m = v + 9; j = q + 17; y = h + 6; g = i + 20; o = j + 6. If z = 8, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = o + 8 to g, which gives g = o + 28.\n2. Substitute o = j + 6 to g, which gives g = j + 34.\n3. Substitute j = q + 17 to g, which gives g = q + 51.\n4. Substitute q = w + 9 to g, which gives g = w + 60.\n5. Substitute w = z + 3 to g, which gives g = z + 63.\n6. Substitute z = 8 to g, which gives g = 71.\n\nThus, the final answer is g = \\boxed{71}.",
"index": 8954,
"question": "Consider a system of variables where each variable is defined as follows: i = o + 8; z = 8; e = k + 8; v = e + 4; q = w + 9; h = m + 18; k = z + 19; w = z + 3; m = v + 9; j = q + 17; y = h + 6; g = i + 20; o = j + 6. If z = 8, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"v": "h + 3", "i": "v + 11", "j": "i + 13", "f": "j + 5", "r": "f + 15", "w": "r + 20", "l": "h + 7", "t": "l + 9", "x": "t + 3", "m": "x + 13", "b": "m + 6", "e": "b + 5", "h": 11}, "premises": {"h": 11}, "target": "w"}, "answer": {"steps": [["r", "f + 15", "f + 35"], ["f", "j + 5", "j + 40"], ["j", "i + 13", "i + 53"], ["i", "v + 11", "v + 64"], ["v", "h + 3", "h + 67"], ["h", 11, "78"]], "target_var_name": "w", "target_value": 78, "value_dict": {"h": 11}, "is_reverse": true}} | 8,955 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = h + 7; i = v + 11; h = 11; w = r + 20; e = b + 5; v = h + 3; r = f + 15; b = m + 6; x = t + 3; m = x + 13; f = j + 5; t = l + 9; j = i + 13. If h = 11, determine 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 r = f + 15 to w, which gives w = f + 35.\n2. Substitute f = j + 5 to w, which gives w = j + 40.\n3. Substitute j = i + 13 to w, which gives w = i + 53.\n4. Substitute i = v + 11 to w, which gives w = v + 64.\n5. Substitute v = h + 3 to w, which gives w = h + 67.\n6. Substitute h = 11 to w, which gives w = 78.\n\nThus, the final answer is w = \\boxed{78}.",
"index": 8955,
"question": "Consider a system of variables where each variable is defined as follows: l = h + 7; i = v + 11; h = 11; w = r + 20; e = b + 5; v = h + 3; r = f + 15; b = m + 6; x = t + 3; m = x + 13; f = j + 5; t = l + 9; j = i + 13. If h = 11, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"b": "n + 20", "d": "b + 5", "g": "d + 19", "w": "g + 11", "f": "w + 6", "e": "f + 16", "p": "n + 16", "t": "p + 6", "o": "t + 20", "z": "o + 9", "h": "z + 19", "s": "h + 1", "n": 8}, "premises": {"n": 8}, "target": "e"}, "answer": {"steps": [["f", "w + 6", "w + 22"], ["w", "g + 11", "g + 33"], ["g", "d + 19", "d + 52"], ["d", "b + 5", "b + 57"], ["b", "n + 20", "n + 77"], ["n", 8, "85"]], "target_var_name": "e", "target_value": 85, "value_dict": {"n": 8}, "is_reverse": true}} | 8,956 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = n + 20; z = o + 9; n = 8; p = n + 16; d = b + 5; t = p + 6; g = d + 19; h = z + 19; f = w + 6; s = h + 1; e = f + 16; o = t + 20; w = g + 11. Given that n = 8, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = w + 6 to e, which gives e = w + 22.\n2. Substitute w = g + 11 to e, which gives e = g + 33.\n3. Substitute g = d + 19 to e, which gives e = d + 52.\n4. Substitute d = b + 5 to e, which gives e = b + 57.\n5. Substitute b = n + 20 to e, which gives e = n + 77.\n6. Substitute n = 8 to e, which gives e = 85.\n\nThus, the final answer is e = \\boxed{85}.",
"index": 8956,
"question": "Suppose a collection of variables is related by the following definitions: b = n + 20; z = o + 9; n = 8; p = n + 16; d = b + 5; t = p + 6; g = d + 19; h = z + 19; f = w + 6; s = h + 1; e = f + 16; o = t + 20; w = g + 11. Given that n = 8, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"x": "t + 17", "h": "x + 4", "w": "h + 17", "v": "w + 12", "g": "v + 16", "n": "g + 15", "s": "t + 13", "r": "s + 20", "b": "r + 1", "k": "b + 3", "f": "k + 14", "m": "f + 10", "t": 11}, "premises": {"t": 11}, "target": "n"}, "answer": {"steps": [["g", "v + 16", "v + 31"], ["v", "w + 12", "w + 43"], ["w", "h + 17", "h + 60"], ["h", "x + 4", "x + 64"], ["x", "t + 17", "t + 81"], ["t", 11, "92"]], "target_var_name": "n", "target_value": 92, "value_dict": {"t": 11}, "is_reverse": true}} | 8,957 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = h + 17; b = r + 1; h = x + 4; r = s + 20; t = 11; m = f + 10; k = b + 3; x = t + 17; f = k + 14; g = v + 16; v = w + 12; s = t + 13; n = g + 15. Given that t = 11, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = v + 16 to n, which gives n = v + 31.\n2. Substitute v = w + 12 to n, which gives n = w + 43.\n3. Substitute w = h + 17 to n, which gives n = h + 60.\n4. Substitute h = x + 4 to n, which gives n = x + 64.\n5. Substitute x = t + 17 to n, which gives n = t + 81.\n6. Substitute t = 11 to n, which gives n = 92.\n\nThus, the final answer is n = \\boxed{92}.",
"index": 8957,
"question": "Suppose a collection of variables is related by the following definitions: w = h + 17; b = r + 1; h = x + 4; r = s + 20; t = 11; m = f + 10; k = b + 3; x = t + 17; f = k + 14; g = v + 16; v = w + 12; s = t + 13; n = g + 15. Given that t = 11, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"j": "r + 1", "m": "j + 4", "i": "m + 6", "s": "i + 3", "d": "s + 19", "f": "d + 11", "b": "r + 12", "x": "b + 20", "a": "x + 3", "h": "a + 9", "n": "h + 18", "t": "n + 15", "r": 2}, "premises": {"r": 2}, "target": "f"}, "answer": {"steps": [["d", "s + 19", "s + 30"], ["s", "i + 3", "i + 33"], ["i", "m + 6", "m + 39"], ["m", "j + 4", "j + 43"], ["j", "r + 1", "r + 44"], ["r", 2, "46"]], "target_var_name": "f", "target_value": 46, "value_dict": {"r": 2}, "is_reverse": true}} | 8,958 | 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 = d + 11; i = m + 6; b = r + 12; x = b + 20; m = j + 4; a = x + 3; j = r + 1; h = a + 9; t = n + 15; r = 2; n = h + 18; s = i + 3; d = s + 19. If r = 2, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = s + 19 to f, which gives f = s + 30.\n2. Substitute s = i + 3 to f, which gives f = i + 33.\n3. Substitute i = m + 6 to f, which gives f = m + 39.\n4. Substitute m = j + 4 to f, which gives f = j + 43.\n5. Substitute j = r + 1 to f, which gives f = r + 44.\n6. Substitute r = 2 to f, which gives f = 46.\n\nThus, the final answer is f = \\boxed{46}.",
"index": 8958,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = d + 11; i = m + 6; b = r + 12; x = b + 20; m = j + 4; a = x + 3; j = r + 1; h = a + 9; t = n + 15; r = 2; n = h + 18; s = i + 3; d = s + 19. If r = 2, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"z": "r + 1", "w": "z + 5", "o": "w + 11", "y": "o + 20", "g": "y + 4", "k": "g + 6", "i": "r + 18", "p": "i + 8", "h": "p + 3", "c": "h + 19", "x": "c + 11", "v": "x + 12", "r": 2}, "premises": {"r": 2}, "target": "k"}, "answer": {"steps": [["g", "y + 4", "y + 10"], ["y", "o + 20", "o + 30"], ["o", "w + 11", "w + 41"], ["w", "z + 5", "z + 46"], ["z", "r + 1", "r + 47"], ["r", 2, "49"]], "target_var_name": "k", "target_value": 49, "value_dict": {"r": 2}, "is_reverse": true}} | 8,959 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = g + 6; w = z + 5; h = p + 3; y = o + 20; o = w + 11; z = r + 1; i = r + 18; p = i + 8; x = c + 11; c = h + 19; g = y + 4; v = x + 12; r = 2. Given that r = 2, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = y + 4 to k, which gives k = y + 10.\n2. Substitute y = o + 20 to k, which gives k = o + 30.\n3. Substitute o = w + 11 to k, which gives k = w + 41.\n4. Substitute w = z + 5 to k, which gives k = z + 46.\n5. Substitute z = r + 1 to k, which gives k = r + 47.\n6. Substitute r = 2 to k, which gives k = 49.\n\nThus, the final answer is k = \\boxed{49}.",
"index": 8959,
"question": "Suppose a collection of variables is related by the following definitions: k = g + 6; w = z + 5; h = p + 3; y = o + 20; o = w + 11; z = r + 1; i = r + 18; p = i + 8; x = c + 11; c = h + 19; g = y + 4; v = x + 12; r = 2. Given that r = 2, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"m": "l + 10", "i": "m + 10", "w": "i + 19", "z": "w + 14", "a": "z + 4", "x": "a + 2", "h": "l + 16", "p": "h + 10", "t": "p + 3", "j": "t + 10", "o": "j + 18", "k": "o + 5", "l": 17}, "premises": {"l": 17}, "target": "x"}, "answer": {"steps": [["a", "z + 4", "z + 6"], ["z", "w + 14", "w + 20"], ["w", "i + 19", "i + 39"], ["i", "m + 10", "m + 49"], ["m", "l + 10", "l + 59"], ["l", 17, "76"]], "target_var_name": "x", "target_value": 76, "value_dict": {"l": 17}, "is_reverse": true}} | 8,960 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = l + 10; w = i + 19; o = j + 18; l = 17; i = m + 10; x = a + 2; z = w + 14; j = t + 10; a = z + 4; t = p + 3; p = h + 10; k = o + 5; h = l + 16. Given that l = 17, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = z + 4 to x, which gives x = z + 6.\n2. Substitute z = w + 14 to x, which gives x = w + 20.\n3. Substitute w = i + 19 to x, which gives x = i + 39.\n4. Substitute i = m + 10 to x, which gives x = m + 49.\n5. Substitute m = l + 10 to x, which gives x = l + 59.\n6. Substitute l = 17 to x, which gives x = 76.\n\nThus, the final answer is x = \\boxed{76}.",
"index": 8960,
"question": "Suppose a collection of variables is related by the following definitions: m = l + 10; w = i + 19; o = j + 18; l = 17; i = m + 10; x = a + 2; z = w + 14; j = t + 10; a = z + 4; t = p + 3; p = h + 10; k = o + 5; h = l + 16. Given that l = 17, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"b": "o + 8", "l": "b + 20", "a": "l + 18", "g": "a + 17", "w": "g + 4", "n": "w + 9", "p": "o + 1", "z": "p + 5", "h": "z + 11", "f": "h + 15", "m": "f + 11", "k": "m + 17", "o": 18}, "premises": {"o": 18}, "target": "n"}, "answer": {"steps": [["w", "g + 4", "g + 13"], ["g", "a + 17", "a + 30"], ["a", "l + 18", "l + 48"], ["l", "b + 20", "b + 68"], ["b", "o + 8", "o + 76"], ["o", 18, "94"]], "target_var_name": "n", "target_value": 94, "value_dict": {"o": 18}, "is_reverse": true}} | 8,961 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = g + 4; h = z + 11; f = h + 15; p = o + 1; n = w + 9; m = f + 11; a = l + 18; o = 18; g = a + 17; l = b + 20; z = p + 5; b = o + 8; k = m + 17. If o = 18, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = g + 4 to n, which gives n = g + 13.\n2. Substitute g = a + 17 to n, which gives n = a + 30.\n3. Substitute a = l + 18 to n, which gives n = l + 48.\n4. Substitute l = b + 20 to n, which gives n = b + 68.\n5. Substitute b = o + 8 to n, which gives n = o + 76.\n6. Substitute o = 18 to n, which gives n = 94.\n\nThus, the final answer is n = \\boxed{94}.",
"index": 8961,
"question": "Consider a system of variables where each variable is defined as follows: w = g + 4; h = z + 11; f = h + 15; p = o + 1; n = w + 9; m = f + 11; a = l + 18; o = 18; g = a + 17; l = b + 20; z = p + 5; b = o + 8; k = m + 17. If o = 18, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"v": "w + 17", "z": "v + 10", "g": "z + 17", "a": "g + 4", "f": "a + 18", "k": "f + 6", "c": "w + 14", "q": "c + 13", "e": "q + 2", "d": "e + 2", "o": "d + 7", "p": "o + 20", "w": 13}, "premises": {"w": 13}, "target": "k"}, "answer": {"steps": [["f", "a + 18", "a + 24"], ["a", "g + 4", "g + 28"], ["g", "z + 17", "z + 45"], ["z", "v + 10", "v + 55"], ["v", "w + 17", "w + 72"], ["w", 13, "85"]], "target_var_name": "k", "target_value": 85, "value_dict": {"w": 13}, "is_reverse": true}} | 8,962 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = v + 10; k = f + 6; w = 13; e = q + 2; c = w + 14; a = g + 4; p = o + 20; d = e + 2; o = d + 7; q = c + 13; v = w + 17; g = z + 17; f = a + 18. Given that w = 13, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = a + 18 to k, which gives k = a + 24.\n2. Substitute a = g + 4 to k, which gives k = g + 28.\n3. Substitute g = z + 17 to k, which gives k = z + 45.\n4. Substitute z = v + 10 to k, which gives k = v + 55.\n5. Substitute v = w + 17 to k, which gives k = w + 72.\n6. Substitute w = 13 to k, which gives k = 85.\n\nThus, the final answer is k = \\boxed{85}.",
"index": 8962,
"question": "Suppose a collection of variables is related by the following definitions: z = v + 10; k = f + 6; w = 13; e = q + 2; c = w + 14; a = g + 4; p = o + 20; d = e + 2; o = d + 7; q = c + 13; v = w + 17; g = z + 17; f = a + 18. Given that w = 13, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"p": "g + 10", "v": "p + 16", "e": "v + 16", "l": "e + 13", "f": "l + 1", "k": "f + 12", "q": "g + 2", "j": "q + 20", "o": "j + 8", "i": "o + 8", "n": "i + 12", "r": "n + 14", "g": 7}, "premises": {"g": 7}, "target": "k"}, "answer": {"steps": [["f", "l + 1", "l + 13"], ["l", "e + 13", "e + 26"], ["e", "v + 16", "v + 42"], ["v", "p + 16", "p + 58"], ["p", "g + 10", "g + 68"], ["g", 7, "75"]], "target_var_name": "k", "target_value": 75, "value_dict": {"g": 7}, "is_reverse": true}} | 8,963 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = 7; l = e + 13; f = l + 1; k = f + 12; n = i + 12; p = g + 10; e = v + 16; q = g + 2; r = n + 14; o = j + 8; j = q + 20; v = p + 16; i = o + 8. If g = 7, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = l + 1 to k, which gives k = l + 13.\n2. Substitute l = e + 13 to k, which gives k = e + 26.\n3. Substitute e = v + 16 to k, which gives k = v + 42.\n4. Substitute v = p + 16 to k, which gives k = p + 58.\n5. Substitute p = g + 10 to k, which gives k = g + 68.\n6. Substitute g = 7 to k, which gives k = 75.\n\nThus, the final answer is k = \\boxed{75}.",
"index": 8963,
"question": "Consider a system of variables where each variable is defined as follows: g = 7; l = e + 13; f = l + 1; k = f + 12; n = i + 12; p = g + 10; e = v + 16; q = g + 2; r = n + 14; o = j + 8; j = q + 20; v = p + 16; i = o + 8. If g = 7, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"i": "s + 19", "q": "i + 19", "r": "q + 16", "x": "r + 6", "c": "x + 10", "w": "c + 3", "t": "s + 2", "l": "t + 4", "z": "l + 10", "e": "z + 8", "j": "e + 19", "v": "j + 11", "s": 2}, "premises": {"s": 2}, "target": "w"}, "answer": {"steps": [["c", "x + 10", "x + 13"], ["x", "r + 6", "r + 19"], ["r", "q + 16", "q + 35"], ["q", "i + 19", "i + 54"], ["i", "s + 19", "s + 73"], ["s", 2, "75"]], "target_var_name": "w", "target_value": 75, "value_dict": {"s": 2}, "is_reverse": true}} | 8,964 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = q + 16; i = s + 19; z = l + 10; q = i + 19; s = 2; e = z + 8; t = s + 2; l = t + 4; j = e + 19; c = x + 10; x = r + 6; w = c + 3; v = j + 11. Given that s = 2, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = x + 10 to w, which gives w = x + 13.\n2. Substitute x = r + 6 to w, which gives w = r + 19.\n3. Substitute r = q + 16 to w, which gives w = q + 35.\n4. Substitute q = i + 19 to w, which gives w = i + 54.\n5. Substitute i = s + 19 to w, which gives w = s + 73.\n6. Substitute s = 2 to w, which gives w = 75.\n\nThus, the final answer is w = \\boxed{75}.",
"index": 8964,
"question": "Suppose a collection of variables is related by the following definitions: r = q + 16; i = s + 19; z = l + 10; q = i + 19; s = 2; e = z + 8; t = s + 2; l = t + 4; j = e + 19; c = x + 10; x = r + 6; w = c + 3; v = j + 11. Given that s = 2, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"g": "a + 8", "w": "g + 1", "d": "w + 13", "q": "d + 3", "s": "q + 3", "b": "s + 13", "k": "a + 15", "p": "k + 4", "e": "p + 17", "i": "e + 12", "v": "i + 7", "t": "v + 4", "a": 6}, "premises": {"a": 6}, "target": "b"}, "answer": {"steps": [["s", "q + 3", "q + 16"], ["q", "d + 3", "d + 19"], ["d", "w + 13", "w + 32"], ["w", "g + 1", "g + 33"], ["g", "a + 8", "a + 41"], ["a", 6, "47"]], "target_var_name": "b", "target_value": 47, "value_dict": {"a": 6}, "is_reverse": true}} | 8,965 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = e + 12; b = s + 13; g = a + 8; w = g + 1; d = w + 13; s = q + 3; v = i + 7; e = p + 17; a = 6; p = k + 4; k = a + 15; t = v + 4; q = d + 3. If a = 6, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = q + 3 to b, which gives b = q + 16.\n2. Substitute q = d + 3 to b, which gives b = d + 19.\n3. Substitute d = w + 13 to b, which gives b = w + 32.\n4. Substitute w = g + 1 to b, which gives b = g + 33.\n5. Substitute g = a + 8 to b, which gives b = a + 41.\n6. Substitute a = 6 to b, which gives b = 47.\n\nThus, the final answer is b = \\boxed{47}.",
"index": 8965,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = e + 12; b = s + 13; g = a + 8; w = g + 1; d = w + 13; s = q + 3; v = i + 7; e = p + 17; a = 6; p = k + 4; k = a + 15; t = v + 4; q = d + 3. If a = 6, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"j": "a + 9", "o": "j + 3", "y": "o + 4", "z": "y + 9", "l": "z + 16", "f": "l + 14", "n": "a + 17", "u": "n + 9", "g": "u + 11", "m": "g + 7", "t": "m + 16", "k": "t + 18", "a": 8}, "premises": {"a": 8}, "target": "f"}, "answer": {"steps": [["l", "z + 16", "z + 30"], ["z", "y + 9", "y + 39"], ["y", "o + 4", "o + 43"], ["o", "j + 3", "j + 46"], ["j", "a + 9", "a + 55"], ["a", 8, "63"]], "target_var_name": "f", "target_value": 63, "value_dict": {"a": 8}, "is_reverse": true}} | 8,966 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = a + 9; g = u + 11; k = t + 18; z = y + 9; n = a + 17; l = z + 16; u = n + 9; o = j + 3; y = o + 4; t = m + 16; m = g + 7; a = 8; f = l + 14. If a = 8, determine the 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 l = z + 16 to f, which gives f = z + 30.\n2. Substitute z = y + 9 to f, which gives f = y + 39.\n3. Substitute y = o + 4 to f, which gives f = o + 43.\n4. Substitute o = j + 3 to f, which gives f = j + 46.\n5. Substitute j = a + 9 to f, which gives f = a + 55.\n6. Substitute a = 8 to f, which gives f = 63.\n\nThus, the final answer is f = \\boxed{63}.",
"index": 8966,
"question": "Consider a system of variables where each variable is defined as follows: j = a + 9; g = u + 11; k = t + 18; z = y + 9; n = a + 17; l = z + 16; u = n + 9; o = j + 3; y = o + 4; t = m + 16; m = g + 7; a = 8; f = l + 14. If a = 8, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"z": "r + 9", "q": "z + 9", "p": "q + 20", "e": "p + 17", "l": "e + 8", "v": "l + 13", "d": "r + 5", "m": "d + 7", "s": "m + 7", "i": "s + 18", "o": "i + 9", "w": "o + 11", "r": 3}, "premises": {"r": 3}, "target": "v"}, "answer": {"steps": [["l", "e + 8", "e + 21"], ["e", "p + 17", "p + 38"], ["p", "q + 20", "q + 58"], ["q", "z + 9", "z + 67"], ["z", "r + 9", "r + 76"], ["r", 3, "79"]], "target_var_name": "v", "target_value": 79, "value_dict": {"r": 3}, "is_reverse": true}} | 8,967 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = s + 18; r = 3; p = q + 20; m = d + 7; z = r + 9; d = r + 5; e = p + 17; l = e + 8; w = o + 11; o = i + 9; q = z + 9; v = l + 13; s = m + 7. If r = 3, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = e + 8 to v, which gives v = e + 21.\n2. Substitute e = p + 17 to v, which gives v = p + 38.\n3. Substitute p = q + 20 to v, which gives v = q + 58.\n4. Substitute q = z + 9 to v, which gives v = z + 67.\n5. Substitute z = r + 9 to v, which gives v = r + 76.\n6. Substitute r = 3 to v, which gives v = 79.\n\nThus, the final answer is v = \\boxed{79}.",
"index": 8967,
"question": "Consider a system of variables where each variable is defined as follows: i = s + 18; r = 3; p = q + 20; m = d + 7; z = r + 9; d = r + 5; e = p + 17; l = e + 8; w = o + 11; o = i + 9; q = z + 9; v = l + 13; s = m + 7. If r = 3, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"r": "g + 13", "y": "r + 3", "z": "y + 5", "a": "z + 20", "v": "a + 13", "c": "v + 16", "i": "g + 16", "x": "i + 17", "k": "x + 13", "o": "k + 13", "h": "o + 4", "b": "h + 20", "g": 20}, "premises": {"g": 20}, "target": "c"}, "answer": {"steps": [["v", "a + 13", "a + 29"], ["a", "z + 20", "z + 49"], ["z", "y + 5", "y + 54"], ["y", "r + 3", "r + 57"], ["r", "g + 13", "g + 70"], ["g", 20, "90"]], "target_var_name": "c", "target_value": 90, "value_dict": {"g": 20}, "is_reverse": true}} | 8,968 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = v + 16; x = i + 17; g = 20; o = k + 13; b = h + 20; k = x + 13; y = r + 3; h = o + 4; r = g + 13; v = a + 13; a = z + 20; z = y + 5; i = g + 16. If g = 20, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = a + 13 to c, which gives c = a + 29.\n2. Substitute a = z + 20 to c, which gives c = z + 49.\n3. Substitute z = y + 5 to c, which gives c = y + 54.\n4. Substitute y = r + 3 to c, which gives c = r + 57.\n5. Substitute r = g + 13 to c, which gives c = g + 70.\n6. Substitute g = 20 to c, which gives c = 90.\n\nThus, the final answer is c = \\boxed{90}.",
"index": 8968,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = v + 16; x = i + 17; g = 20; o = k + 13; b = h + 20; k = x + 13; y = r + 3; h = o + 4; r = g + 13; v = a + 13; a = z + 20; z = y + 5; i = g + 16. If g = 20, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"h": "u + 17", "r": "h + 8", "b": "r + 13", "a": "b + 17", "z": "a + 16", "i": "z + 20", "w": "u + 16", "o": "w + 19", "k": "o + 13", "p": "k + 8", "y": "p + 18", "l": "y + 10", "u": 11}, "premises": {"u": 11}, "target": "i"}, "answer": {"steps": [["z", "a + 16", "a + 36"], ["a", "b + 17", "b + 53"], ["b", "r + 13", "r + 66"], ["r", "h + 8", "h + 74"], ["h", "u + 17", "u + 91"], ["u", 11, "102"]], "target_var_name": "i", "target_value": 102, "value_dict": {"u": 11}, "is_reverse": true}} | 8,969 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = u + 17; b = r + 13; r = h + 8; p = k + 8; o = w + 19; i = z + 20; w = u + 16; l = y + 10; y = p + 18; u = 11; a = b + 17; k = o + 13; z = a + 16. If u = 11, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 102,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = a + 16 to i, which gives i = a + 36.\n2. Substitute a = b + 17 to i, which gives i = b + 53.\n3. Substitute b = r + 13 to i, which gives i = r + 66.\n4. Substitute r = h + 8 to i, which gives i = h + 74.\n5. Substitute h = u + 17 to i, which gives i = u + 91.\n6. Substitute u = 11 to i, which gives i = 102.\n\nThus, the final answer is i = \\boxed{102}.",
"index": 8969,
"question": "Consider a system of variables where each variable is defined as follows: h = u + 17; b = r + 13; r = h + 8; p = k + 8; o = w + 19; i = z + 20; w = u + 16; l = y + 10; y = p + 18; u = 11; a = b + 17; k = o + 13; z = a + 16. If u = 11, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"v": "s + 19", "a": "v + 8", "z": "a + 8", "t": "z + 13", "o": "t + 14", "l": "o + 7", "i": "s + 15", "n": "i + 1", "q": "n + 9", "u": "q + 4", "p": "u + 18", "g": "p + 16", "s": 10}, "premises": {"s": 10}, "target": "l"}, "answer": {"steps": [["o", "t + 14", "t + 21"], ["t", "z + 13", "z + 34"], ["z", "a + 8", "a + 42"], ["a", "v + 8", "v + 50"], ["v", "s + 19", "s + 69"], ["s", 10, "79"]], "target_var_name": "l", "target_value": 79, "value_dict": {"s": 10}, "is_reverse": true}} | 8,970 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = a + 8; a = v + 8; t = z + 13; p = u + 18; i = s + 15; q = n + 9; v = s + 19; s = 10; g = p + 16; u = q + 4; n = i + 1; o = t + 14; l = o + 7. Given that s = 10, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = t + 14 to l, which gives l = t + 21.\n2. Substitute t = z + 13 to l, which gives l = z + 34.\n3. Substitute z = a + 8 to l, which gives l = a + 42.\n4. Substitute a = v + 8 to l, which gives l = v + 50.\n5. Substitute v = s + 19 to l, which gives l = s + 69.\n6. Substitute s = 10 to l, which gives l = 79.\n\nThus, the final answer is l = \\boxed{79}.",
"index": 8970,
"question": "Suppose a collection of variables is related by the following definitions: z = a + 8; a = v + 8; t = z + 13; p = u + 18; i = s + 15; q = n + 9; v = s + 19; s = 10; g = p + 16; u = q + 4; n = i + 1; o = t + 14; l = o + 7. Given that s = 10, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"n": "r + 3", "s": "n + 15", "d": "s + 13", "i": "d + 12", "x": "i + 17", "g": "x + 8", "a": "r + 1", "k": "a + 5", "v": "k + 5", "u": "v + 17", "q": "u + 6", "z": "q + 14", "r": 6}, "premises": {"r": 6}, "target": "g"}, "answer": {"steps": [["x", "i + 17", "i + 25"], ["i", "d + 12", "d + 37"], ["d", "s + 13", "s + 50"], ["s", "n + 15", "n + 65"], ["n", "r + 3", "r + 68"], ["r", 6, "74"]], "target_var_name": "g", "target_value": 74, "value_dict": {"r": 6}, "is_reverse": true}} | 8,971 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = s + 13; u = v + 17; i = d + 12; r = 6; z = q + 14; s = n + 15; k = a + 5; n = r + 3; a = r + 1; v = k + 5; g = x + 8; x = i + 17; q = u + 6. Given that r = 6, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = i + 17 to g, which gives g = i + 25.\n2. Substitute i = d + 12 to g, which gives g = d + 37.\n3. Substitute d = s + 13 to g, which gives g = s + 50.\n4. Substitute s = n + 15 to g, which gives g = n + 65.\n5. Substitute n = r + 3 to g, which gives g = r + 68.\n6. Substitute r = 6 to g, which gives g = 74.\n\nThus, the final answer is g = \\boxed{74}.",
"index": 8971,
"question": "Suppose a collection of variables is related by the following definitions: d = s + 13; u = v + 17; i = d + 12; r = 6; z = q + 14; s = n + 15; k = a + 5; n = r + 3; a = r + 1; v = k + 5; g = x + 8; x = i + 17; q = u + 6. Given that r = 6, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"z": "m + 4", "x": "z + 3", "s": "x + 15", "e": "s + 11", "q": "e + 7", "r": "q + 18", "k": "m + 11", "y": "k + 10", "l": "y + 12", "v": "l + 3", "g": "v + 19", "i": "g + 1", "m": 17}, "premises": {"m": 17}, "target": "r"}, "answer": {"steps": [["q", "e + 7", "e + 25"], ["e", "s + 11", "s + 36"], ["s", "x + 15", "x + 51"], ["x", "z + 3", "z + 54"], ["z", "m + 4", "m + 58"], ["m", 17, "75"]], "target_var_name": "r", "target_value": 75, "value_dict": {"m": 17}, "is_reverse": true}} | 8,972 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = l + 3; m = 17; l = y + 12; e = s + 11; x = z + 3; z = m + 4; s = x + 15; q = e + 7; r = q + 18; y = k + 10; k = m + 11; i = g + 1; g = v + 19. Given that m = 17, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = e + 7 to r, which gives r = e + 25.\n2. Substitute e = s + 11 to r, which gives r = s + 36.\n3. Substitute s = x + 15 to r, which gives r = x + 51.\n4. Substitute x = z + 3 to r, which gives r = z + 54.\n5. Substitute z = m + 4 to r, which gives r = m + 58.\n6. Substitute m = 17 to r, which gives r = 75.\n\nThus, the final answer is r = \\boxed{75}.",
"index": 8972,
"question": "Suppose a collection of variables is related by the following definitions: v = l + 3; m = 17; l = y + 12; e = s + 11; x = z + 3; z = m + 4; s = x + 15; q = e + 7; r = q + 18; y = k + 10; k = m + 11; i = g + 1; g = v + 19. Given that m = 17, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"y": "j + 9", "f": "y + 7", "i": "f + 19", "r": "i + 19", "g": "r + 14", "h": "g + 4", "b": "j + 6", "v": "b + 13", "q": "v + 1", "d": "q + 1", "c": "d + 18", "u": "c + 9", "j": 17}, "premises": {"j": 17}, "target": "h"}, "answer": {"steps": [["g", "r + 14", "r + 18"], ["r", "i + 19", "i + 37"], ["i", "f + 19", "f + 56"], ["f", "y + 7", "y + 63"], ["y", "j + 9", "j + 72"], ["j", 17, "89"]], "target_var_name": "h", "target_value": 89, "value_dict": {"j": 17}, "is_reverse": true}} | 8,973 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = f + 19; c = d + 18; r = i + 19; j = 17; g = r + 14; h = g + 4; v = b + 13; b = j + 6; q = v + 1; u = c + 9; f = y + 7; d = q + 1; y = j + 9. If j = 17, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = r + 14 to h, which gives h = r + 18.\n2. Substitute r = i + 19 to h, which gives h = i + 37.\n3. Substitute i = f + 19 to h, which gives h = f + 56.\n4. Substitute f = y + 7 to h, which gives h = y + 63.\n5. Substitute y = j + 9 to h, which gives h = j + 72.\n6. Substitute j = 17 to h, which gives h = 89.\n\nThus, the final answer is h = \\boxed{89}.",
"index": 8973,
"question": "Consider a system of variables where each variable is defined as follows: i = f + 19; c = d + 18; r = i + 19; j = 17; g = r + 14; h = g + 4; v = b + 13; b = j + 6; q = v + 1; u = c + 9; f = y + 7; d = q + 1; y = j + 9. If j = 17, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"z": "m + 4", "a": "z + 11", "l": "a + 4", "v": "l + 12", "h": "v + 13", "y": "h + 10", "p": "m + 15", "s": "p + 16", "w": "s + 1", "e": "w + 3", "j": "e + 3", "d": "j + 18", "m": 20}, "premises": {"m": 20}, "target": "y"}, "answer": {"steps": [["h", "v + 13", "v + 23"], ["v", "l + 12", "l + 35"], ["l", "a + 4", "a + 39"], ["a", "z + 11", "z + 50"], ["z", "m + 4", "m + 54"], ["m", 20, "74"]], "target_var_name": "y", "target_value": 74, "value_dict": {"m": 20}, "is_reverse": true}} | 8,974 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = v + 13; l = a + 4; d = j + 18; a = z + 11; p = m + 15; s = p + 16; m = 20; e = w + 3; y = h + 10; z = m + 4; w = s + 1; j = e + 3; v = l + 12. If m = 20, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = v + 13 to y, which gives y = v + 23.\n2. Substitute v = l + 12 to y, which gives y = l + 35.\n3. Substitute l = a + 4 to y, which gives y = a + 39.\n4. Substitute a = z + 11 to y, which gives y = z + 50.\n5. Substitute z = m + 4 to y, which gives y = m + 54.\n6. Substitute m = 20 to y, which gives y = 74.\n\nThus, the final answer is y = \\boxed{74}.",
"index": 8974,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = v + 13; l = a + 4; d = j + 18; a = z + 11; p = m + 15; s = p + 16; m = 20; e = w + 3; y = h + 10; z = m + 4; w = s + 1; j = e + 3; v = l + 12. If m = 20, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"p": "k + 8", "c": "p + 13", "y": "c + 11", "z": "y + 17", "w": "z + 11", "x": "w + 1", "o": "k + 9", "j": "o + 13", "g": "j + 9", "v": "g + 4", "s": "v + 8", "u": "s + 10", "k": 19}, "premises": {"k": 19}, "target": "x"}, "answer": {"steps": [["w", "z + 11", "z + 12"], ["z", "y + 17", "y + 29"], ["y", "c + 11", "c + 40"], ["c", "p + 13", "p + 53"], ["p", "k + 8", "k + 61"], ["k", 19, "80"]], "target_var_name": "x", "target_value": 80, "value_dict": {"k": 19}, "is_reverse": true}} | 8,975 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = 19; u = s + 10; p = k + 8; w = z + 11; y = c + 11; g = j + 9; z = y + 17; c = p + 13; o = k + 9; v = g + 4; x = w + 1; j = o + 13; s = v + 8. If k = 19, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = z + 11 to x, which gives x = z + 12.\n2. Substitute z = y + 17 to x, which gives x = y + 29.\n3. Substitute y = c + 11 to x, which gives x = c + 40.\n4. Substitute c = p + 13 to x, which gives x = p + 53.\n5. Substitute p = k + 8 to x, which gives x = k + 61.\n6. Substitute k = 19 to x, which gives x = 80.\n\nThus, the final answer is x = \\boxed{80}.",
"index": 8975,
"question": "Consider a system of variables where each variable is defined as follows: k = 19; u = s + 10; p = k + 8; w = z + 11; y = c + 11; g = j + 9; z = y + 17; c = p + 13; o = k + 9; v = g + 4; x = w + 1; j = o + 13; s = v + 8. If k = 19, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"y": "i + 16", "f": "y + 14", "z": "f + 4", "k": "z + 16", "p": "k + 17", "h": "p + 14", "m": "i + 6", "u": "m + 16", "a": "u + 10", "v": "a + 4", "w": "v + 11", "x": "w + 9", "i": 19}, "premises": {"i": 19}, "target": "h"}, "answer": {"steps": [["p", "k + 17", "k + 31"], ["k", "z + 16", "z + 47"], ["z", "f + 4", "f + 51"], ["f", "y + 14", "y + 65"], ["y", "i + 16", "i + 81"], ["i", 19, "100"]], "target_var_name": "h", "target_value": 100, "value_dict": {"i": 19}, "is_reverse": true}} | 8,976 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = v + 11; a = u + 10; h = p + 14; x = w + 9; k = z + 16; m = i + 6; z = f + 4; f = y + 14; p = k + 17; v = a + 4; i = 19; y = i + 16; u = m + 16. If i = 19, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = k + 17 to h, which gives h = k + 31.\n2. Substitute k = z + 16 to h, which gives h = z + 47.\n3. Substitute z = f + 4 to h, which gives h = f + 51.\n4. Substitute f = y + 14 to h, which gives h = y + 65.\n5. Substitute y = i + 16 to h, which gives h = i + 81.\n6. Substitute i = 19 to h, which gives h = 100.\n\nThus, the final answer is h = \\boxed{100}.",
"index": 8976,
"question": "Consider a system of variables where each variable is defined as follows: w = v + 11; a = u + 10; h = p + 14; x = w + 9; k = z + 16; m = i + 6; z = f + 4; f = y + 14; p = k + 17; v = a + 4; i = 19; y = i + 16; u = m + 16. If i = 19, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"e": "i + 18", "a": "e + 11", "d": "a + 8", "r": "d + 12", "f": "r + 11", "p": "f + 15", "z": "i + 1", "h": "z + 9", "o": "h + 17", "j": "o + 2", "w": "j + 11", "m": "w + 13", "i": 7}, "premises": {"i": 7}, "target": "p"}, "answer": {"steps": [["f", "r + 11", "r + 26"], ["r", "d + 12", "d + 38"], ["d", "a + 8", "a + 46"], ["a", "e + 11", "e + 57"], ["e", "i + 18", "i + 75"], ["i", 7, "82"]], "target_var_name": "p", "target_value": 82, "value_dict": {"i": 7}, "is_reverse": true}} | 8,977 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = i + 18; d = a + 8; h = z + 9; w = j + 11; j = o + 2; z = i + 1; f = r + 11; r = d + 12; o = h + 17; i = 7; m = w + 13; p = f + 15; a = e + 11. If i = 7, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = r + 11 to p, which gives p = r + 26.\n2. Substitute r = d + 12 to p, which gives p = d + 38.\n3. Substitute d = a + 8 to p, which gives p = a + 46.\n4. Substitute a = e + 11 to p, which gives p = e + 57.\n5. Substitute e = i + 18 to p, which gives p = i + 75.\n6. Substitute i = 7 to p, which gives p = 82.\n\nThus, the final answer is p = \\boxed{82}.",
"index": 8977,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = i + 18; d = a + 8; h = z + 9; w = j + 11; j = o + 2; z = i + 1; f = r + 11; r = d + 12; o = h + 17; i = 7; m = w + 13; p = f + 15; a = e + 11. If i = 7, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"y": "f + 13", "q": "y + 20", "p": "q + 3", "o": "p + 19", "e": "o + 16", "u": "e + 13", "z": "f + 10", "w": "z + 3", "j": "w + 2", "c": "j + 1", "g": "c + 4", "k": "g + 13", "f": 7}, "premises": {"f": 7}, "target": "u"}, "answer": {"steps": [["e", "o + 16", "o + 29"], ["o", "p + 19", "p + 48"], ["p", "q + 3", "q + 51"], ["q", "y + 20", "y + 71"], ["y", "f + 13", "f + 84"], ["f", 7, "91"]], "target_var_name": "u", "target_value": 91, "value_dict": {"f": 7}, "is_reverse": true}} | 8,978 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = z + 3; f = 7; q = y + 20; y = f + 13; k = g + 13; u = e + 13; e = o + 16; p = q + 3; o = p + 19; z = f + 10; g = c + 4; c = j + 1; j = w + 2. Given that f = 7, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = o + 16 to u, which gives u = o + 29.\n2. Substitute o = p + 19 to u, which gives u = p + 48.\n3. Substitute p = q + 3 to u, which gives u = q + 51.\n4. Substitute q = y + 20 to u, which gives u = y + 71.\n5. Substitute y = f + 13 to u, which gives u = f + 84.\n6. Substitute f = 7 to u, which gives u = 91.\n\nThus, the final answer is u = \\boxed{91}.",
"index": 8978,
"question": "Suppose a collection of variables is related by the following definitions: w = z + 3; f = 7; q = y + 20; y = f + 13; k = g + 13; u = e + 13; e = o + 16; p = q + 3; o = p + 19; z = f + 10; g = c + 4; c = j + 1; j = w + 2. Given that f = 7, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"l": "v + 19", "x": "l + 2", "c": "x + 13", "b": "c + 11", "w": "b + 2", "t": "w + 6", "i": "v + 7", "n": "i + 19", "r": "n + 16", "s": "r + 14", "d": "s + 10", "f": "d + 8", "v": 6}, "premises": {"v": 6}, "target": "t"}, "answer": {"steps": [["w", "b + 2", "b + 8"], ["b", "c + 11", "c + 19"], ["c", "x + 13", "x + 32"], ["x", "l + 2", "l + 34"], ["l", "v + 19", "v + 53"], ["v", 6, "59"]], "target_var_name": "t", "target_value": 59, "value_dict": {"v": 6}, "is_reverse": true}} | 8,979 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = v + 19; w = b + 2; d = s + 10; t = w + 6; x = l + 2; i = v + 7; s = r + 14; r = n + 16; f = d + 8; v = 6; b = c + 11; n = i + 19; c = x + 13. If v = 6, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = b + 2 to t, which gives t = b + 8.\n2. Substitute b = c + 11 to t, which gives t = c + 19.\n3. Substitute c = x + 13 to t, which gives t = x + 32.\n4. Substitute x = l + 2 to t, which gives t = l + 34.\n5. Substitute l = v + 19 to t, which gives t = v + 53.\n6. Substitute v = 6 to t, which gives t = 59.\n\nThus, the final answer is t = \\boxed{59}.",
"index": 8979,
"question": "Consider a system of variables where each variable is defined as follows: l = v + 19; w = b + 2; d = s + 10; t = w + 6; x = l + 2; i = v + 7; s = r + 14; r = n + 16; f = d + 8; v = 6; b = c + 11; n = i + 19; c = x + 13. If v = 6, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"x": "d + 3", "h": "x + 8", "c": "h + 5", "j": "c + 10", "y": "j + 5", "s": "y + 17", "k": "d + 20", "n": "k + 16", "w": "n + 11", "z": "w + 9", "b": "z + 9", "i": "b + 13", "d": 20}, "premises": {"d": 20}, "target": "s"}, "answer": {"steps": [["y", "j + 5", "j + 22"], ["j", "c + 10", "c + 32"], ["c", "h + 5", "h + 37"], ["h", "x + 8", "x + 45"], ["x", "d + 3", "d + 48"], ["d", 20, "68"]], "target_var_name": "s", "target_value": 68, "value_dict": {"d": 20}, "is_reverse": true}} | 8,980 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = n + 11; s = y + 17; d = 20; z = w + 9; x = d + 3; k = d + 20; y = j + 5; c = h + 5; i = b + 13; h = x + 8; b = z + 9; j = c + 10; n = k + 16. If d = 20, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = j + 5 to s, which gives s = j + 22.\n2. Substitute j = c + 10 to s, which gives s = c + 32.\n3. Substitute c = h + 5 to s, which gives s = h + 37.\n4. Substitute h = x + 8 to s, which gives s = x + 45.\n5. Substitute x = d + 3 to s, which gives s = d + 48.\n6. Substitute d = 20 to s, which gives s = 68.\n\nThus, the final answer is s = \\boxed{68}.",
"index": 8980,
"question": "Consider a system of variables where each variable is defined as follows: w = n + 11; s = y + 17; d = 20; z = w + 9; x = d + 3; k = d + 20; y = j + 5; c = h + 5; i = b + 13; h = x + 8; b = z + 9; j = c + 10; n = k + 16. If d = 20, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"l": "p + 19", "o": "l + 1", "x": "o + 8", "f": "x + 3", "j": "f + 7", "z": "j + 8", "v": "p + 2", "u": "v + 2", "d": "u + 10", "y": "d + 6", "r": "y + 15", "a": "r + 11", "p": 13}, "premises": {"p": 13}, "target": "z"}, "answer": {"steps": [["j", "f + 7", "f + 15"], ["f", "x + 3", "x + 18"], ["x", "o + 8", "o + 26"], ["o", "l + 1", "l + 27"], ["l", "p + 19", "p + 46"], ["p", 13, "59"]], "target_var_name": "z", "target_value": 59, "value_dict": {"p": 13}, "is_reverse": true}} | 8,981 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = l + 1; z = j + 8; d = u + 10; v = p + 2; j = f + 7; p = 13; u = v + 2; f = x + 3; y = d + 6; r = y + 15; a = r + 11; x = o + 8; l = p + 19. Given that p = 13, find the 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 j = f + 7 to z, which gives z = f + 15.\n2. Substitute f = x + 3 to z, which gives z = x + 18.\n3. Substitute x = o + 8 to z, which gives z = o + 26.\n4. Substitute o = l + 1 to z, which gives z = l + 27.\n5. Substitute l = p + 19 to z, which gives z = p + 46.\n6. Substitute p = 13 to z, which gives z = 59.\n\nThus, the final answer is z = \\boxed{59}.",
"index": 8981,
"question": "Suppose a collection of variables is related by the following definitions: o = l + 1; z = j + 8; d = u + 10; v = p + 2; j = f + 7; p = 13; u = v + 2; f = x + 3; y = d + 6; r = y + 15; a = r + 11; x = o + 8; l = p + 19. Given that p = 13, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"r": "b + 15", "i": "r + 9", "u": "i + 6", "z": "u + 1", "s": "z + 10", "k": "s + 16", "l": "b + 12", "g": "l + 16", "q": "g + 1", "o": "q + 4", "c": "o + 5", "f": "c + 11", "b": 12}, "premises": {"b": 12}, "target": "k"}, "answer": {"steps": [["s", "z + 10", "z + 26"], ["z", "u + 1", "u + 27"], ["u", "i + 6", "i + 33"], ["i", "r + 9", "r + 42"], ["r", "b + 15", "b + 57"], ["b", 12, "69"]], "target_var_name": "k", "target_value": 69, "value_dict": {"b": 12}, "is_reverse": true}} | 8,982 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = r + 9; o = q + 4; u = i + 6; k = s + 16; g = l + 16; r = b + 15; s = z + 10; q = g + 1; b = 12; c = o + 5; f = c + 11; l = b + 12; z = u + 1. If b = 12, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = z + 10 to k, which gives k = z + 26.\n2. Substitute z = u + 1 to k, which gives k = u + 27.\n3. Substitute u = i + 6 to k, which gives k = i + 33.\n4. Substitute i = r + 9 to k, which gives k = r + 42.\n5. Substitute r = b + 15 to k, which gives k = b + 57.\n6. Substitute b = 12 to k, which gives k = 69.\n\nThus, the final answer is k = \\boxed{69}.",
"index": 8982,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = r + 9; o = q + 4; u = i + 6; k = s + 16; g = l + 16; r = b + 15; s = z + 10; q = g + 1; b = 12; c = o + 5; f = c + 11; l = b + 12; z = u + 1. If b = 12, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"m": "w + 16", "a": "m + 2", "s": "a + 10", "x": "s + 6", "h": "x + 11", "l": "h + 9", "t": "w + 18", "e": "t + 16", "f": "e + 6", "k": "f + 3", "v": "k + 1", "d": "v + 12", "w": 2}, "premises": {"w": 2}, "target": "l"}, "answer": {"steps": [["h", "x + 11", "x + 20"], ["x", "s + 6", "s + 26"], ["s", "a + 10", "a + 36"], ["a", "m + 2", "m + 38"], ["m", "w + 16", "w + 54"], ["w", 2, "56"]], "target_var_name": "l", "target_value": 56, "value_dict": {"w": 2}, "is_reverse": true}} | 8,983 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = 2; t = w + 18; v = k + 1; s = a + 10; k = f + 3; e = t + 16; x = s + 6; m = w + 16; a = m + 2; l = h + 9; d = v + 12; f = e + 6; h = x + 11. Given that w = 2, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = x + 11 to l, which gives l = x + 20.\n2. Substitute x = s + 6 to l, which gives l = s + 26.\n3. Substitute s = a + 10 to l, which gives l = a + 36.\n4. Substitute a = m + 2 to l, which gives l = m + 38.\n5. Substitute m = w + 16 to l, which gives l = w + 54.\n6. Substitute w = 2 to l, which gives l = 56.\n\nThus, the final answer is l = \\boxed{56}.",
"index": 8983,
"question": "Suppose a collection of variables is related by the following definitions: w = 2; t = w + 18; v = k + 1; s = a + 10; k = f + 3; e = t + 16; x = s + 6; m = w + 16; a = m + 2; l = h + 9; d = v + 12; f = e + 6; h = x + 11. Given that w = 2, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"q": "s + 6", "f": "q + 16", "i": "f + 13", "o": "i + 4", "r": "o + 8", "x": "r + 14", "l": "s + 10", "c": "l + 19", "h": "c + 10", "g": "h + 7", "e": "g + 8", "k": "e + 2", "s": 10}, "premises": {"s": 10}, "target": "x"}, "answer": {"steps": [["r", "o + 8", "o + 22"], ["o", "i + 4", "i + 26"], ["i", "f + 13", "f + 39"], ["f", "q + 16", "q + 55"], ["q", "s + 6", "s + 61"], ["s", 10, "71"]], "target_var_name": "x", "target_value": 71, "value_dict": {"s": 10}, "is_reverse": true}} | 8,984 | 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; e = g + 8; q = s + 6; i = f + 13; s = 10; g = h + 7; l = s + 10; c = l + 19; f = q + 16; h = c + 10; o = i + 4; k = e + 2; x = r + 14. If s = 10, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = o + 8 to x, which gives x = o + 22.\n2. Substitute o = i + 4 to x, which gives x = i + 26.\n3. Substitute i = f + 13 to x, which gives x = f + 39.\n4. Substitute f = q + 16 to x, which gives x = q + 55.\n5. Substitute q = s + 6 to x, which gives x = s + 61.\n6. Substitute s = 10 to x, which gives x = 71.\n\nThus, the final answer is x = \\boxed{71}.",
"index": 8984,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = o + 8; e = g + 8; q = s + 6; i = f + 13; s = 10; g = h + 7; l = s + 10; c = l + 19; f = q + 16; h = c + 10; o = i + 4; k = e + 2; x = r + 14. If s = 10, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"m": "k + 14", "u": "m + 15", "h": "u + 8", "p": "h + 9", "d": "p + 11", "c": "d + 13", "n": "k + 6", "a": "n + 4", "f": "a + 5", "j": "f + 10", "e": "j + 7", "q": "e + 14", "k": 17}, "premises": {"k": 17}, "target": "c"}, "answer": {"steps": [["d", "p + 11", "p + 24"], ["p", "h + 9", "h + 33"], ["h", "u + 8", "u + 41"], ["u", "m + 15", "m + 56"], ["m", "k + 14", "k + 70"], ["k", 17, "87"]], "target_var_name": "c", "target_value": 87, "value_dict": {"k": 17}, "is_reverse": true}} | 8,985 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = f + 10; d = p + 11; a = n + 4; h = u + 8; u = m + 15; m = k + 14; e = j + 7; p = h + 9; f = a + 5; q = e + 14; n = k + 6; k = 17; c = d + 13. If k = 17, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = p + 11 to c, which gives c = p + 24.\n2. Substitute p = h + 9 to c, which gives c = h + 33.\n3. Substitute h = u + 8 to c, which gives c = u + 41.\n4. Substitute u = m + 15 to c, which gives c = m + 56.\n5. Substitute m = k + 14 to c, which gives c = k + 70.\n6. Substitute k = 17 to c, which gives c = 87.\n\nThus, the final answer is c = \\boxed{87}.",
"index": 8985,
"question": "Consider a system of variables where each variable is defined as follows: j = f + 10; d = p + 11; a = n + 4; h = u + 8; u = m + 15; m = k + 14; e = j + 7; p = h + 9; f = a + 5; q = e + 14; n = k + 6; k = 17; c = d + 13. If k = 17, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"a": "v + 3", "z": "a + 6", "i": "z + 16", "t": "i + 4", "s": "t + 1", "b": "s + 10", "q": "v + 3", "d": "q + 17", "u": "d + 4", "p": "u + 1", "r": "p + 14", "h": "r + 2", "v": 13}, "premises": {"v": 13}, "target": "b"}, "answer": {"steps": [["s", "t + 1", "t + 11"], ["t", "i + 4", "i + 15"], ["i", "z + 16", "z + 31"], ["z", "a + 6", "a + 37"], ["a", "v + 3", "v + 40"], ["v", 13, "53"]], "target_var_name": "b", "target_value": 53, "value_dict": {"v": 13}, "is_reverse": true}} | 8,986 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = u + 1; u = d + 4; q = v + 3; r = p + 14; v = 13; s = t + 1; b = s + 10; i = z + 16; d = q + 17; a = v + 3; h = r + 2; z = a + 6; t = i + 4. Given that v = 13, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = t + 1 to b, which gives b = t + 11.\n2. Substitute t = i + 4 to b, which gives b = i + 15.\n3. Substitute i = z + 16 to b, which gives b = z + 31.\n4. Substitute z = a + 6 to b, which gives b = a + 37.\n5. Substitute a = v + 3 to b, which gives b = v + 40.\n6. Substitute v = 13 to b, which gives b = 53.\n\nThus, the final answer is b = \\boxed{53}.",
"index": 8986,
"question": "Suppose a collection of variables is related by the following definitions: p = u + 1; u = d + 4; q = v + 3; r = p + 14; v = 13; s = t + 1; b = s + 10; i = z + 16; d = q + 17; a = v + 3; h = r + 2; z = a + 6; t = i + 4. Given that v = 13, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"j": "t + 14", "h": "j + 4", "r": "h + 20", "i": "r + 11", "w": "i + 1", "z": "w + 19", "o": "t + 7", "k": "o + 4", "a": "k + 20", "n": "a + 15", "f": "n + 8", "q": "f + 14", "t": 19}, "premises": {"t": 19}, "target": "z"}, "answer": {"steps": [["w", "i + 1", "i + 20"], ["i", "r + 11", "r + 31"], ["r", "h + 20", "h + 51"], ["h", "j + 4", "j + 55"], ["j", "t + 14", "t + 69"], ["t", 19, "88"]], "target_var_name": "z", "target_value": 88, "value_dict": {"t": 19}, "is_reverse": true}} | 8,987 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = t + 7; j = t + 14; a = k + 20; z = w + 19; r = h + 20; q = f + 14; w = i + 1; n = a + 15; h = j + 4; i = r + 11; f = n + 8; k = o + 4; t = 19. If t = 19, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = i + 1 to z, which gives z = i + 20.\n2. Substitute i = r + 11 to z, which gives z = r + 31.\n3. Substitute r = h + 20 to z, which gives z = h + 51.\n4. Substitute h = j + 4 to z, which gives z = j + 55.\n5. Substitute j = t + 14 to z, which gives z = t + 69.\n6. Substitute t = 19 to z, which gives z = 88.\n\nThus, the final answer is z = \\boxed{88}.",
"index": 8987,
"question": "Consider a system of variables where each variable is defined as follows: o = t + 7; j = t + 14; a = k + 20; z = w + 19; r = h + 20; q = f + 14; w = i + 1; n = a + 15; h = j + 4; i = r + 11; f = n + 8; k = o + 4; t = 19. If t = 19, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"w": "z + 5", "l": "w + 6", "i": "l + 18", "a": "i + 4", "n": "a + 17", "q": "n + 13", "b": "z + 12", "y": "b + 17", "u": "y + 19", "f": "u + 11", "m": "f + 5", "g": "m + 13", "z": 2}, "premises": {"z": 2}, "target": "q"}, "answer": {"steps": [["n", "a + 17", "a + 30"], ["a", "i + 4", "i + 34"], ["i", "l + 18", "l + 52"], ["l", "w + 6", "w + 58"], ["w", "z + 5", "z + 63"], ["z", 2, "65"]], "target_var_name": "q", "target_value": 65, "value_dict": {"z": 2}, "is_reverse": true}} | 8,988 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = z + 5; a = i + 4; m = f + 5; f = u + 11; n = a + 17; u = y + 19; q = n + 13; i = l + 18; b = z + 12; z = 2; y = b + 17; l = w + 6; g = m + 13. If z = 2, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = a + 17 to q, which gives q = a + 30.\n2. Substitute a = i + 4 to q, which gives q = i + 34.\n3. Substitute i = l + 18 to q, which gives q = l + 52.\n4. Substitute l = w + 6 to q, which gives q = w + 58.\n5. Substitute w = z + 5 to q, which gives q = z + 63.\n6. Substitute z = 2 to q, which gives q = 65.\n\nThus, the final answer is q = \\boxed{65}.",
"index": 8988,
"question": "Consider a system of variables where each variable is defined as follows: w = z + 5; a = i + 4; m = f + 5; f = u + 11; n = a + 17; u = y + 19; q = n + 13; i = l + 18; b = z + 12; z = 2; y = b + 17; l = w + 6; g = m + 13. If z = 2, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"x": "h + 8", "w": "x + 7", "f": "w + 7", "v": "f + 12", "y": "v + 7", "m": "y + 16", "j": "h + 19", "o": "j + 1", "l": "o + 1", "d": "l + 2", "r": "d + 8", "a": "r + 5", "h": 20}, "premises": {"h": 20}, "target": "m"}, "answer": {"steps": [["y", "v + 7", "v + 23"], ["v", "f + 12", "f + 35"], ["f", "w + 7", "w + 42"], ["w", "x + 7", "x + 49"], ["x", "h + 8", "h + 57"], ["h", 20, "77"]], "target_var_name": "m", "target_value": 77, "value_dict": {"h": 20}, "is_reverse": true}} | 8,989 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = r + 5; r = d + 8; w = x + 7; x = h + 8; d = l + 2; y = v + 7; h = 20; j = h + 19; m = y + 16; v = f + 12; f = w + 7; l = o + 1; o = j + 1. Given that h = 20, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = v + 7 to m, which gives m = v + 23.\n2. Substitute v = f + 12 to m, which gives m = f + 35.\n3. Substitute f = w + 7 to m, which gives m = w + 42.\n4. Substitute w = x + 7 to m, which gives m = x + 49.\n5. Substitute x = h + 8 to m, which gives m = h + 57.\n6. Substitute h = 20 to m, which gives m = 77.\n\nThus, the final answer is m = \\boxed{77}.",
"index": 8989,
"question": "Suppose a collection of variables is related by the following definitions: a = r + 5; r = d + 8; w = x + 7; x = h + 8; d = l + 2; y = v + 7; h = 20; j = h + 19; m = y + 16; v = f + 12; f = w + 7; l = o + 1; o = j + 1. Given that h = 20, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"q": "n + 9", "k": "q + 16", "j": "k + 14", "p": "j + 8", "u": "p + 17", "g": "u + 19", "l": "n + 6", "w": "l + 10", "r": "w + 13", "c": "r + 17", "s": "c + 4", "t": "s + 8", "n": 11}, "premises": {"n": 11}, "target": "g"}, "answer": {"steps": [["u", "p + 17", "p + 36"], ["p", "j + 8", "j + 44"], ["j", "k + 14", "k + 58"], ["k", "q + 16", "q + 74"], ["q", "n + 9", "n + 83"], ["n", 11, "94"]], "target_var_name": "g", "target_value": 94, "value_dict": {"n": 11}, "is_reverse": true}} | 8,990 | 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 = j + 8; j = k + 14; g = u + 19; l = n + 6; q = n + 9; r = w + 13; n = 11; k = q + 16; u = p + 17; t = s + 8; c = r + 17; w = l + 10; s = c + 4. If n = 11, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = p + 17 to g, which gives g = p + 36.\n2. Substitute p = j + 8 to g, which gives g = j + 44.\n3. Substitute j = k + 14 to g, which gives g = k + 58.\n4. Substitute k = q + 16 to g, which gives g = q + 74.\n5. Substitute q = n + 9 to g, which gives g = n + 83.\n6. Substitute n = 11 to g, which gives g = 94.\n\nThus, the final answer is g = \\boxed{94}.",
"index": 8990,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = j + 8; j = k + 14; g = u + 19; l = n + 6; q = n + 9; r = w + 13; n = 11; k = q + 16; u = p + 17; t = s + 8; c = r + 17; w = l + 10; s = c + 4. If n = 11, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"z": "q + 7", "f": "z + 4", "k": "f + 12", "w": "k + 13", "p": "w + 19", "u": "p + 7", "x": "q + 7", "a": "x + 4", "o": "a + 3", "c": "o + 9", "n": "c + 2", "l": "n + 20", "q": 6}, "premises": {"q": 6}, "target": "u"}, "answer": {"steps": [["p", "w + 19", "w + 26"], ["w", "k + 13", "k + 39"], ["k", "f + 12", "f + 51"], ["f", "z + 4", "z + 55"], ["z", "q + 7", "q + 62"], ["q", 6, "68"]], "target_var_name": "u", "target_value": 68, "value_dict": {"q": 6}, "is_reverse": true}} | 8,991 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = x + 4; f = z + 4; c = o + 9; w = k + 13; k = f + 12; n = c + 2; q = 6; o = a + 3; x = q + 7; p = w + 19; l = n + 20; z = q + 7; u = p + 7. Given that q = 6, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = w + 19 to u, which gives u = w + 26.\n2. Substitute w = k + 13 to u, which gives u = k + 39.\n3. Substitute k = f + 12 to u, which gives u = f + 51.\n4. Substitute f = z + 4 to u, which gives u = z + 55.\n5. Substitute z = q + 7 to u, which gives u = q + 62.\n6. Substitute q = 6 to u, which gives u = 68.\n\nThus, the final answer is u = \\boxed{68}.",
"index": 8991,
"question": "Suppose a collection of variables is related by the following definitions: a = x + 4; f = z + 4; c = o + 9; w = k + 13; k = f + 12; n = c + 2; q = 6; o = a + 3; x = q + 7; p = w + 19; l = n + 20; z = q + 7; u = p + 7. Given that q = 6, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"m": "g + 1", "q": "m + 16", "k": "q + 2", "v": "k + 12", "a": "v + 16", "b": "a + 16", "d": "g + 9", "t": "d + 17", "w": "t + 14", "s": "w + 9", "x": "s + 19", "z": "x + 1", "g": 11}, "premises": {"g": 11}, "target": "b"}, "answer": {"steps": [["a", "v + 16", "v + 32"], ["v", "k + 12", "k + 44"], ["k", "q + 2", "q + 46"], ["q", "m + 16", "m + 62"], ["m", "g + 1", "g + 63"], ["g", 11, "74"]], "target_var_name": "b", "target_value": 74, "value_dict": {"g": 11}, "is_reverse": true}} | 8,992 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = d + 17; m = g + 1; k = q + 2; x = s + 19; w = t + 14; g = 11; a = v + 16; z = x + 1; d = g + 9; v = k + 12; b = a + 16; q = m + 16; s = w + 9. If g = 11, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = v + 16 to b, which gives b = v + 32.\n2. Substitute v = k + 12 to b, which gives b = k + 44.\n3. Substitute k = q + 2 to b, which gives b = q + 46.\n4. Substitute q = m + 16 to b, which gives b = m + 62.\n5. Substitute m = g + 1 to b, which gives b = g + 63.\n6. Substitute g = 11 to b, which gives b = 74.\n\nThus, the final answer is b = \\boxed{74}.",
"index": 8992,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = d + 17; m = g + 1; k = q + 2; x = s + 19; w = t + 14; g = 11; a = v + 16; z = x + 1; d = g + 9; v = k + 12; b = a + 16; q = m + 16; s = w + 9. If g = 11, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"s": "d + 5", "g": "s + 8", "h": "g + 7", "n": "h + 3", "o": "n + 4", "m": "o + 12", "j": "d + 9", "w": "j + 1", "a": "w + 12", "l": "a + 8", "t": "l + 19", "u": "t + 16", "d": 16}, "premises": {"d": 16}, "target": "m"}, "answer": {"steps": [["o", "n + 4", "n + 16"], ["n", "h + 3", "h + 19"], ["h", "g + 7", "g + 26"], ["g", "s + 8", "s + 34"], ["s", "d + 5", "d + 39"], ["d", 16, "55"]], "target_var_name": "m", "target_value": 55, "value_dict": {"d": 16}, "is_reverse": true}} | 8,993 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = o + 12; u = t + 16; t = l + 19; j = d + 9; s = d + 5; a = w + 12; w = j + 1; n = h + 3; h = g + 7; l = a + 8; g = s + 8; o = n + 4; d = 16. If d = 16, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = n + 4 to m, which gives m = n + 16.\n2. Substitute n = h + 3 to m, which gives m = h + 19.\n3. Substitute h = g + 7 to m, which gives m = g + 26.\n4. Substitute g = s + 8 to m, which gives m = s + 34.\n5. Substitute s = d + 5 to m, which gives m = d + 39.\n6. Substitute d = 16 to m, which gives m = 55.\n\nThus, the final answer is m = \\boxed{55}.",
"index": 8993,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = o + 12; u = t + 16; t = l + 19; j = d + 9; s = d + 5; a = w + 12; w = j + 1; n = h + 3; h = g + 7; l = a + 8; g = s + 8; o = n + 4; d = 16. If d = 16, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"e": "t + 17", "w": "e + 14", "z": "w + 14", "j": "z + 2", "c": "j + 13", "f": "c + 7", "i": "t + 16", "l": "i + 12", "h": "l + 16", "a": "h + 20", "b": "a + 15", "m": "b + 12", "t": 5}, "premises": {"t": 5}, "target": "f"}, "answer": {"steps": [["c", "j + 13", "j + 20"], ["j", "z + 2", "z + 22"], ["z", "w + 14", "w + 36"], ["w", "e + 14", "e + 50"], ["e", "t + 17", "t + 67"], ["t", 5, "72"]], "target_var_name": "f", "target_value": 72, "value_dict": {"t": 5}, "is_reverse": true}} | 8,994 | 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 = t + 17; b = a + 15; c = j + 13; a = h + 20; z = w + 14; t = 5; m = b + 12; h = l + 16; j = z + 2; f = c + 7; w = e + 14; l = i + 12; i = t + 16. If t = 5, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = j + 13 to f, which gives f = j + 20.\n2. Substitute j = z + 2 to f, which gives f = z + 22.\n3. Substitute z = w + 14 to f, which gives f = w + 36.\n4. Substitute w = e + 14 to f, which gives f = e + 50.\n5. Substitute e = t + 17 to f, which gives f = t + 67.\n6. Substitute t = 5 to f, which gives f = 72.\n\nThus, the final answer is f = \\boxed{72}.",
"index": 8994,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = t + 17; b = a + 15; c = j + 13; a = h + 20; z = w + 14; t = 5; m = b + 12; h = l + 16; j = z + 2; f = c + 7; w = e + 14; l = i + 12; i = t + 16. If t = 5, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"e": "y + 13", "b": "e + 15", "a": "b + 1", "u": "a + 8", "s": "u + 5", "c": "s + 12", "i": "y + 19", "x": "i + 12", "t": "x + 19", "q": "t + 14", "n": "q + 16", "o": "n + 20", "y": 1}, "premises": {"y": 1}, "target": "c"}, "answer": {"steps": [["s", "u + 5", "u + 17"], ["u", "a + 8", "a + 25"], ["a", "b + 1", "b + 26"], ["b", "e + 15", "e + 41"], ["e", "y + 13", "y + 54"], ["y", 1, "55"]], "target_var_name": "c", "target_value": 55, "value_dict": {"y": 1}, "is_reverse": true}} | 8,995 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = y + 19; u = a + 8; s = u + 5; c = s + 12; t = x + 19; o = n + 20; e = y + 13; n = q + 16; x = i + 12; y = 1; q = t + 14; a = b + 1; b = e + 15. If y = 1, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = u + 5 to c, which gives c = u + 17.\n2. Substitute u = a + 8 to c, which gives c = a + 25.\n3. Substitute a = b + 1 to c, which gives c = b + 26.\n4. Substitute b = e + 15 to c, which gives c = e + 41.\n5. Substitute e = y + 13 to c, which gives c = y + 54.\n6. Substitute y = 1 to c, which gives c = 55.\n\nThus, the final answer is c = \\boxed{55}.",
"index": 8995,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = y + 19; u = a + 8; s = u + 5; c = s + 12; t = x + 19; o = n + 20; e = y + 13; n = q + 16; x = i + 12; y = 1; q = t + 14; a = b + 1; b = e + 15. If y = 1, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"k": "d + 7", "y": "k + 12", "p": "y + 15", "e": "p + 8", "i": "e + 7", "o": "i + 12", "t": "d + 16", "g": "t + 2", "x": "g + 19", "n": "x + 16", "q": "n + 11", "b": "q + 19", "d": 10}, "premises": {"d": 10}, "target": "o"}, "answer": {"steps": [["i", "e + 7", "e + 19"], ["e", "p + 8", "p + 27"], ["p", "y + 15", "y + 42"], ["y", "k + 12", "k + 54"], ["k", "d + 7", "d + 61"], ["d", 10, "71"]], "target_var_name": "o", "target_value": 71, "value_dict": {"d": 10}, "is_reverse": true}} | 8,996 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = i + 12; t = d + 16; n = x + 16; y = k + 12; e = p + 8; b = q + 19; k = d + 7; p = y + 15; d = 10; x = g + 19; q = n + 11; i = e + 7; g = t + 2. Given that d = 10, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = e + 7 to o, which gives o = e + 19.\n2. Substitute e = p + 8 to o, which gives o = p + 27.\n3. Substitute p = y + 15 to o, which gives o = y + 42.\n4. Substitute y = k + 12 to o, which gives o = k + 54.\n5. Substitute k = d + 7 to o, which gives o = d + 61.\n6. Substitute d = 10 to o, which gives o = 71.\n\nThus, the final answer is o = \\boxed{71}.",
"index": 8996,
"question": "Suppose a collection of variables is related by the following definitions: o = i + 12; t = d + 16; n = x + 16; y = k + 12; e = p + 8; b = q + 19; k = d + 7; p = y + 15; d = 10; x = g + 19; q = n + 11; i = e + 7; g = t + 2. Given that d = 10, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"s": "m + 11", "v": "s + 19", "j": "v + 12", "c": "j + 16", "p": "c + 19", "h": "p + 13", "k": "m + 6", "w": "k + 17", "d": "w + 13", "q": "d + 6", "z": "q + 4", "g": "z + 18", "m": 17}, "premises": {"m": 17}, "target": "h"}, "answer": {"steps": [["p", "c + 19", "c + 32"], ["c", "j + 16", "j + 48"], ["j", "v + 12", "v + 60"], ["v", "s + 19", "s + 79"], ["s", "m + 11", "m + 90"], ["m", 17, "107"]], "target_var_name": "h", "target_value": 107, "value_dict": {"m": 17}, "is_reverse": true}} | 8,997 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = p + 13; c = j + 16; q = d + 6; g = z + 18; z = q + 4; m = 17; k = m + 6; v = s + 19; s = m + 11; j = v + 12; d = w + 13; p = c + 19; w = k + 17. Given that m = 17, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 107,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = c + 19 to h, which gives h = c + 32.\n2. Substitute c = j + 16 to h, which gives h = j + 48.\n3. Substitute j = v + 12 to h, which gives h = v + 60.\n4. Substitute v = s + 19 to h, which gives h = s + 79.\n5. Substitute s = m + 11 to h, which gives h = m + 90.\n6. Substitute m = 17 to h, which gives h = 107.\n\nThus, the final answer is h = \\boxed{107}.",
"index": 8997,
"question": "Suppose a collection of variables is related by the following definitions: h = p + 13; c = j + 16; q = d + 6; g = z + 18; z = q + 4; m = 17; k = m + 6; v = s + 19; s = m + 11; j = v + 12; d = w + 13; p = c + 19; w = k + 17. Given that m = 17, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"j": "l + 6", "u": "j + 4", "t": "u + 8", "w": "t + 2", "x": "w + 7", "z": "x + 12", "c": "l + 6", "b": "c + 7", "e": "b + 11", "s": "e + 3", "k": "s + 16", "g": "k + 3", "l": 4}, "premises": {"l": 4}, "target": "z"}, "answer": {"steps": [["x", "w + 7", "w + 19"], ["w", "t + 2", "t + 21"], ["t", "u + 8", "u + 29"], ["u", "j + 4", "j + 33"], ["j", "l + 6", "l + 39"], ["l", 4, "43"]], "target_var_name": "z", "target_value": 43, "value_dict": {"l": 4}, "is_reverse": true}} | 8,998 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = s + 16; t = u + 8; w = t + 2; x = w + 7; l = 4; u = j + 4; s = e + 3; g = k + 3; e = b + 11; c = l + 6; j = l + 6; b = c + 7; z = x + 12. If l = 4, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = w + 7 to z, which gives z = w + 19.\n2. Substitute w = t + 2 to z, which gives z = t + 21.\n3. Substitute t = u + 8 to z, which gives z = u + 29.\n4. Substitute u = j + 4 to z, which gives z = j + 33.\n5. Substitute j = l + 6 to z, which gives z = l + 39.\n6. Substitute l = 4 to z, which gives z = 43.\n\nThus, the final answer is z = \\boxed{43}.",
"index": 8998,
"question": "Consider a system of variables where each variable is defined as follows: k = s + 16; t = u + 8; w = t + 2; x = w + 7; l = 4; u = j + 4; s = e + 3; g = k + 3; e = b + 11; c = l + 6; j = l + 6; b = c + 7; z = x + 12. If l = 4, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"o": "q + 14", "y": "o + 6", "u": "y + 9", "p": "u + 16", "t": "p + 16", "b": "t + 6", "h": "q + 6", "c": "h + 13", "f": "c + 1", "s": "f + 10", "d": "s + 2", "e": "d + 20", "q": 6}, "premises": {"q": 6}, "target": "b"}, "answer": {"steps": [["t", "p + 16", "p + 22"], ["p", "u + 16", "u + 38"], ["u", "y + 9", "y + 47"], ["y", "o + 6", "o + 53"], ["o", "q + 14", "q + 67"], ["q", 6, "73"]], "target_var_name": "b", "target_value": 73, "value_dict": {"q": 6}, "is_reverse": true}} | 8,999 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = c + 1; s = f + 10; d = s + 2; h = q + 6; p = u + 16; o = q + 14; e = d + 20; u = y + 9; y = o + 6; c = h + 13; q = 6; b = t + 6; t = p + 16. Given that q = 6, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = p + 16 to b, which gives b = p + 22.\n2. Substitute p = u + 16 to b, which gives b = u + 38.\n3. Substitute u = y + 9 to b, which gives b = y + 47.\n4. Substitute y = o + 6 to b, which gives b = o + 53.\n5. Substitute o = q + 14 to b, which gives b = q + 67.\n6. Substitute q = 6 to b, which gives b = 73.\n\nThus, the final answer is b = \\boxed{73}.",
"index": 8999,
"question": "Suppose a collection of variables is related by the following definitions: f = c + 1; s = f + 10; d = s + 2; h = q + 6; p = u + 16; o = q + 14; e = d + 20; u = y + 9; y = o + 6; c = h + 13; q = 6; b = t + 6; t = p + 16. Given that q = 6, find the value of b.",
"split": "train"
} |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.