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": {"j": "p + 15", "b": "j + 1", "h": "b + 10", "c": "h + 3", "l": "c + 16", "m": "l + 13", "g": "p + 18", "k": "g + 3", "z": "k + 9", "v": "z + 16", "q": "v + 11", "s": "q + 9", "p": 12}, "premises": {"p": 12}, "target": "m"}, "answer": {"steps": [["l", "c + 16", "c + 29"], ["c", "h + 3", "h + 32"], ["h", "b + 10", "b + 42"], ["b", "j + 1", "j + 43"], ["j", "p + 15", "p + 58"], ["p", 12, "70"]], "target_var_name": "m", "target_value": 70, "value_dict": {"p": 12}, "is_reverse": true}} | 9,000 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = h + 3; m = l + 13; j = p + 15; g = p + 18; b = j + 1; p = 12; v = z + 16; s = q + 9; k = g + 3; z = k + 9; l = c + 16; h = b + 10; q = v + 11. If p = 12, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = c + 16 to m, which gives m = c + 29.\n2. Substitute c = h + 3 to m, which gives m = h + 32.\n3. Substitute h = b + 10 to m, which gives m = b + 42.\n4. Substitute b = j + 1 to m, which gives m = j + 43.\n5. Substitute j = p + 15 to m, which gives m = p + 58.\n6. Substitute p = 12 to m, which gives m = 70.\n\nThus, the final answer is m = \\boxed{70}.",
"index": 9000,
"question": "Consider a system of variables where each variable is defined as follows: c = h + 3; m = l + 13; j = p + 15; g = p + 18; b = j + 1; p = 12; v = z + 16; s = q + 9; k = g + 3; z = k + 9; l = c + 16; h = b + 10; q = v + 11. If p = 12, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"t": "i + 13", "f": "t + 12", "y": "f + 9", "x": "y + 20", "g": "x + 14", "p": "g + 14", "o": "i + 17", "r": "o + 10", "d": "r + 1", "j": "d + 2", "n": "j + 15", "v": "n + 3", "i": 7}, "premises": {"i": 7}, "target": "p"}, "answer": {"steps": [["g", "x + 14", "x + 28"], ["x", "y + 20", "y + 48"], ["y", "f + 9", "f + 57"], ["f", "t + 12", "t + 69"], ["t", "i + 13", "i + 82"], ["i", 7, "89"]], "target_var_name": "p", "target_value": 89, "value_dict": {"i": 7}, "is_reverse": true}} | 9,001 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = n + 3; y = f + 9; i = 7; o = i + 17; f = t + 12; t = i + 13; d = r + 1; n = j + 15; g = x + 14; x = y + 20; j = d + 2; r = o + 10; p = g + 14. If i = 7, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = x + 14 to p, which gives p = x + 28.\n2. Substitute x = y + 20 to p, which gives p = y + 48.\n3. Substitute y = f + 9 to p, which gives p = f + 57.\n4. Substitute f = t + 12 to p, which gives p = t + 69.\n5. Substitute t = i + 13 to p, which gives p = i + 82.\n6. Substitute i = 7 to p, which gives p = 89.\n\nThus, the final answer is p = \\boxed{89}.",
"index": 9001,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = n + 3; y = f + 9; i = 7; o = i + 17; f = t + 12; t = i + 13; d = r + 1; n = j + 15; g = x + 14; x = y + 20; j = d + 2; r = o + 10; p = g + 14. If i = 7, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"t": "j + 17", "v": "t + 15", "a": "v + 5", "s": "a + 13", "m": "s + 6", "h": "m + 4", "l": "j + 1", "f": "l + 10", "x": "f + 8", "i": "x + 10", "r": "i + 17", "y": "r + 12", "j": 6}, "premises": {"j": 6}, "target": "h"}, "answer": {"steps": [["m", "s + 6", "s + 10"], ["s", "a + 13", "a + 23"], ["a", "v + 5", "v + 28"], ["v", "t + 15", "t + 43"], ["t", "j + 17", "j + 60"], ["j", 6, "66"]], "target_var_name": "h", "target_value": 66, "value_dict": {"j": 6}, "is_reverse": true}} | 9,002 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = 6; x = f + 8; y = r + 12; r = i + 17; h = m + 4; m = s + 6; i = x + 10; f = l + 10; a = v + 5; s = a + 13; l = j + 1; t = j + 17; v = t + 15. Given that j = 6, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = s + 6 to h, which gives h = s + 10.\n2. Substitute s = a + 13 to h, which gives h = a + 23.\n3. Substitute a = v + 5 to h, which gives h = v + 28.\n4. Substitute v = t + 15 to h, which gives h = t + 43.\n5. Substitute t = j + 17 to h, which gives h = j + 60.\n6. Substitute j = 6 to h, which gives h = 66.\n\nThus, the final answer is h = \\boxed{66}.",
"index": 9002,
"question": "Suppose a collection of variables is related by the following definitions: j = 6; x = f + 8; y = r + 12; r = i + 17; h = m + 4; m = s + 6; i = x + 10; f = l + 10; a = v + 5; s = a + 13; l = j + 1; t = j + 17; v = t + 15. Given that j = 6, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"b": "e + 2", "z": "b + 19", "d": "z + 9", "o": "d + 7", "v": "o + 3", "a": "v + 18", "s": "e + 14", "y": "s + 5", "p": "y + 18", "h": "p + 8", "n": "h + 13", "r": "n + 5", "e": 7}, "premises": {"e": 7}, "target": "a"}, "answer": {"steps": [["v", "o + 3", "o + 21"], ["o", "d + 7", "d + 28"], ["d", "z + 9", "z + 37"], ["z", "b + 19", "b + 56"], ["b", "e + 2", "e + 58"], ["e", 7, "65"]], "target_var_name": "a", "target_value": 65, "value_dict": {"e": 7}, "is_reverse": true}} | 9,003 | 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 = p + 8; e = 7; b = e + 2; d = z + 9; z = b + 19; p = y + 18; o = d + 7; y = s + 5; v = o + 3; r = n + 5; a = v + 18; s = e + 14; n = h + 13. If e = 7, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = o + 3 to a, which gives a = o + 21.\n2. Substitute o = d + 7 to a, which gives a = d + 28.\n3. Substitute d = z + 9 to a, which gives a = z + 37.\n4. Substitute z = b + 19 to a, which gives a = b + 56.\n5. Substitute b = e + 2 to a, which gives a = e + 58.\n6. Substitute e = 7 to a, which gives a = 65.\n\nThus, the final answer is a = \\boxed{65}.",
"index": 9003,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = p + 8; e = 7; b = e + 2; d = z + 9; z = b + 19; p = y + 18; o = d + 7; y = s + 5; v = o + 3; r = n + 5; a = v + 18; s = e + 14; n = h + 13. If e = 7, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"w": "g + 20", "b": "w + 14", "r": "b + 7", "x": "r + 1", "i": "x + 8", "q": "i + 13", "k": "g + 18", "d": "k + 7", "p": "d + 4", "t": "p + 13", "s": "t + 7", "u": "s + 16", "g": 8}, "premises": {"g": 8}, "target": "q"}, "answer": {"steps": [["i", "x + 8", "x + 21"], ["x", "r + 1", "r + 22"], ["r", "b + 7", "b + 29"], ["b", "w + 14", "w + 43"], ["w", "g + 20", "g + 63"], ["g", 8, "71"]], "target_var_name": "q", "target_value": 71, "value_dict": {"g": 8}, "is_reverse": true}} | 9,004 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = i + 13; t = p + 13; s = t + 7; u = s + 16; g = 8; b = w + 14; p = d + 4; x = r + 1; w = g + 20; d = k + 7; k = g + 18; r = b + 7; i = x + 8. Given that g = 8, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = x + 8 to q, which gives q = x + 21.\n2. Substitute x = r + 1 to q, which gives q = r + 22.\n3. Substitute r = b + 7 to q, which gives q = b + 29.\n4. Substitute b = w + 14 to q, which gives q = w + 43.\n5. Substitute w = g + 20 to q, which gives q = g + 63.\n6. Substitute g = 8 to q, which gives q = 71.\n\nThus, the final answer is q = \\boxed{71}.",
"index": 9004,
"question": "Suppose a collection of variables is related by the following definitions: q = i + 13; t = p + 13; s = t + 7; u = s + 16; g = 8; b = w + 14; p = d + 4; x = r + 1; w = g + 20; d = k + 7; k = g + 18; r = b + 7; i = x + 8. Given that g = 8, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"i": "r + 1", "n": "i + 13", "h": "n + 18", "k": "h + 1", "j": "k + 10", "l": "j + 3", "c": "r + 6", "v": "c + 15", "w": "v + 5", "d": "w + 5", "s": "d + 7", "b": "s + 10", "r": 9}, "premises": {"r": 9}, "target": "l"}, "answer": {"steps": [["j", "k + 10", "k + 13"], ["k", "h + 1", "h + 14"], ["h", "n + 18", "n + 32"], ["n", "i + 13", "i + 45"], ["i", "r + 1", "r + 46"], ["r", 9, "55"]], "target_var_name": "l", "target_value": 55, "value_dict": {"r": 9}, "is_reverse": true}} | 9,005 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = n + 18; b = s + 10; r = 9; i = r + 1; j = k + 10; s = d + 7; c = r + 6; k = h + 1; d = w + 5; l = j + 3; v = c + 15; n = i + 13; w = v + 5. If r = 9, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = k + 10 to l, which gives l = k + 13.\n2. Substitute k = h + 1 to l, which gives l = h + 14.\n3. Substitute h = n + 18 to l, which gives l = n + 32.\n4. Substitute n = i + 13 to l, which gives l = i + 45.\n5. Substitute i = r + 1 to l, which gives l = r + 46.\n6. Substitute r = 9 to l, which gives l = 55.\n\nThus, the final answer is l = \\boxed{55}.",
"index": 9005,
"question": "Consider a system of variables where each variable is defined as follows: h = n + 18; b = s + 10; r = 9; i = r + 1; j = k + 10; s = d + 7; c = r + 6; k = h + 1; d = w + 5; l = j + 3; v = c + 15; n = i + 13; w = v + 5. If r = 9, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"x": "p + 8", "e": "x + 16", "n": "e + 18", "h": "n + 15", "q": "h + 17", "r": "q + 15", "t": "p + 8", "z": "t + 7", "s": "z + 13", "d": "s + 3", "c": "d + 12", "v": "c + 4", "p": 3}, "premises": {"p": 3}, "target": "r"}, "answer": {"steps": [["q", "h + 17", "h + 32"], ["h", "n + 15", "n + 47"], ["n", "e + 18", "e + 65"], ["e", "x + 16", "x + 81"], ["x", "p + 8", "p + 89"], ["p", 3, "92"]], "target_var_name": "r", "target_value": 92, "value_dict": {"p": 3}, "is_reverse": true}} | 9,006 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = e + 18; t = p + 8; e = x + 16; r = q + 15; p = 3; s = z + 13; v = c + 4; d = s + 3; q = h + 17; x = p + 8; z = t + 7; h = n + 15; c = d + 12. If p = 3, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = h + 17 to r, which gives r = h + 32.\n2. Substitute h = n + 15 to r, which gives r = n + 47.\n3. Substitute n = e + 18 to r, which gives r = e + 65.\n4. Substitute e = x + 16 to r, which gives r = x + 81.\n5. Substitute x = p + 8 to r, which gives r = p + 89.\n6. Substitute p = 3 to r, which gives r = 92.\n\nThus, the final answer is r = \\boxed{92}.",
"index": 9006,
"question": "Consider a system of variables where each variable is defined as follows: n = e + 18; t = p + 8; e = x + 16; r = q + 15; p = 3; s = z + 13; v = c + 4; d = s + 3; q = h + 17; x = p + 8; z = t + 7; h = n + 15; c = d + 12. If p = 3, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"w": "s + 8", "q": "w + 18", "j": "q + 13", "g": "j + 9", "v": "g + 4", "e": "v + 6", "b": "s + 20", "m": "b + 16", "o": "m + 7", "a": "o + 9", "i": "a + 15", "p": "i + 14", "s": 17}, "premises": {"s": 17}, "target": "e"}, "answer": {"steps": [["v", "g + 4", "g + 10"], ["g", "j + 9", "j + 19"], ["j", "q + 13", "q + 32"], ["q", "w + 18", "w + 50"], ["w", "s + 8", "s + 58"], ["s", 17, "75"]], "target_var_name": "e", "target_value": 75, "value_dict": {"s": 17}, "is_reverse": true}} | 9,007 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = 17; w = s + 8; a = o + 9; p = i + 14; j = q + 13; i = a + 15; v = g + 4; e = v + 6; b = s + 20; o = m + 7; q = w + 18; m = b + 16; g = j + 9. If s = 17, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = g + 4 to e, which gives e = g + 10.\n2. Substitute g = j + 9 to e, which gives e = j + 19.\n3. Substitute j = q + 13 to e, which gives e = q + 32.\n4. Substitute q = w + 18 to e, which gives e = w + 50.\n5. Substitute w = s + 8 to e, which gives e = s + 58.\n6. Substitute s = 17 to e, which gives e = 75.\n\nThus, the final answer is e = \\boxed{75}.",
"index": 9007,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = 17; w = s + 8; a = o + 9; p = i + 14; j = q + 13; i = a + 15; v = g + 4; e = v + 6; b = s + 20; o = m + 7; q = w + 18; m = b + 16; g = j + 9. If s = 17, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"a": "e + 17", "u": "a + 20", "c": "u + 13", "l": "c + 20", "x": "l + 17", "g": "x + 5", "w": "e + 3", "y": "w + 2", "k": "y + 13", "q": "k + 13", "d": "q + 9", "p": "d + 12", "e": 5}, "premises": {"e": 5}, "target": "g"}, "answer": {"steps": [["x", "l + 17", "l + 22"], ["l", "c + 20", "c + 42"], ["c", "u + 13", "u + 55"], ["u", "a + 20", "a + 75"], ["a", "e + 17", "e + 92"], ["e", 5, "97"]], "target_var_name": "g", "target_value": 97, "value_dict": {"e": 5}, "is_reverse": true}} | 9,008 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = l + 17; p = d + 12; d = q + 9; a = e + 17; e = 5; k = y + 13; g = x + 5; w = e + 3; q = k + 13; y = w + 2; c = u + 13; l = c + 20; u = a + 20. If e = 5, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = l + 17 to g, which gives g = l + 22.\n2. Substitute l = c + 20 to g, which gives g = c + 42.\n3. Substitute c = u + 13 to g, which gives g = u + 55.\n4. Substitute u = a + 20 to g, which gives g = a + 75.\n5. Substitute a = e + 17 to g, which gives g = e + 92.\n6. Substitute e = 5 to g, which gives g = 97.\n\nThus, the final answer is g = \\boxed{97}.",
"index": 9008,
"question": "Consider a system of variables where each variable is defined as follows: x = l + 17; p = d + 12; d = q + 9; a = e + 17; e = 5; k = y + 13; g = x + 5; w = e + 3; q = k + 13; y = w + 2; c = u + 13; l = c + 20; u = a + 20. If e = 5, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"f": "e + 18", "j": "f + 17", "n": "j + 8", "k": "n + 17", "y": "k + 7", "z": "y + 5", "p": "e + 4", "x": "p + 7", "u": "x + 20", "r": "u + 8", "c": "r + 16", "l": "c + 8", "e": 20}, "premises": {"e": 20}, "target": "z"}, "answer": {"steps": [["y", "k + 7", "k + 12"], ["k", "n + 17", "n + 29"], ["n", "j + 8", "j + 37"], ["j", "f + 17", "f + 54"], ["f", "e + 18", "e + 72"], ["e", 20, "92"]], "target_var_name": "z", "target_value": 92, "value_dict": {"e": 20}, "is_reverse": true}} | 9,009 | 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 + 17; x = p + 7; k = n + 17; n = j + 8; u = x + 20; r = u + 8; y = k + 7; z = y + 5; e = 20; f = e + 18; p = e + 4; l = c + 8; c = r + 16. If e = 20, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = k + 7 to z, which gives z = k + 12.\n2. Substitute k = n + 17 to z, which gives z = n + 29.\n3. Substitute n = j + 8 to z, which gives z = j + 37.\n4. Substitute j = f + 17 to z, which gives z = f + 54.\n5. Substitute f = e + 18 to z, which gives z = e + 72.\n6. Substitute e = 20 to z, which gives z = 92.\n\nThus, the final answer is z = \\boxed{92}.",
"index": 9009,
"question": "Consider a system of variables where each variable is defined as follows: j = f + 17; x = p + 7; k = n + 17; n = j + 8; u = x + 20; r = u + 8; y = k + 7; z = y + 5; e = 20; f = e + 18; p = e + 4; l = c + 8; c = r + 16. If e = 20, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"c": "j + 19", "t": "c + 16", "e": "t + 17", "f": "e + 15", "i": "f + 13", "w": "i + 14", "s": "j + 4", "p": "s + 11", "x": "p + 6", "h": "x + 20", "b": "h + 18", "n": "b + 16", "j": 12}, "premises": {"j": 12}, "target": "w"}, "answer": {"steps": [["i", "f + 13", "f + 27"], ["f", "e + 15", "e + 42"], ["e", "t + 17", "t + 59"], ["t", "c + 16", "c + 75"], ["c", "j + 19", "j + 94"], ["j", 12, "106"]], "target_var_name": "w", "target_value": 106, "value_dict": {"j": 12}, "is_reverse": true}} | 9,010 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = p + 6; j = 12; c = j + 19; w = i + 14; n = b + 16; b = h + 18; p = s + 11; h = x + 20; e = t + 17; f = e + 15; t = c + 16; s = j + 4; i = f + 13. If j = 12, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 106,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = f + 13 to w, which gives w = f + 27.\n2. Substitute f = e + 15 to w, which gives w = e + 42.\n3. Substitute e = t + 17 to w, which gives w = t + 59.\n4. Substitute t = c + 16 to w, which gives w = c + 75.\n5. Substitute c = j + 19 to w, which gives w = j + 94.\n6. Substitute j = 12 to w, which gives w = 106.\n\nThus, the final answer is w = \\boxed{106}.",
"index": 9010,
"question": "Consider a system of variables where each variable is defined as follows: x = p + 6; j = 12; c = j + 19; w = i + 14; n = b + 16; b = h + 18; p = s + 11; h = x + 20; e = t + 17; f = e + 15; t = c + 16; s = j + 4; i = f + 13. If j = 12, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"a": "n + 1", "l": "a + 12", "j": "l + 18", "s": "j + 3", "v": "s + 3", "t": "v + 13", "d": "n + 6", "p": "d + 16", "r": "p + 12", "y": "r + 9", "x": "y + 13", "o": "x + 18", "n": 3}, "premises": {"n": 3}, "target": "t"}, "answer": {"steps": [["v", "s + 3", "s + 16"], ["s", "j + 3", "j + 19"], ["j", "l + 18", "l + 37"], ["l", "a + 12", "a + 49"], ["a", "n + 1", "n + 50"], ["n", 3, "53"]], "target_var_name": "t", "target_value": 53, "value_dict": {"n": 3}, "is_reverse": true}} | 9,011 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = n + 6; l = a + 12; s = j + 3; a = n + 1; n = 3; t = v + 13; o = x + 18; p = d + 16; y = r + 9; j = l + 18; r = p + 12; x = y + 13; v = s + 3. If n = 3, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = s + 3 to t, which gives t = s + 16.\n2. Substitute s = j + 3 to t, which gives t = j + 19.\n3. Substitute j = l + 18 to t, which gives t = l + 37.\n4. Substitute l = a + 12 to t, which gives t = a + 49.\n5. Substitute a = n + 1 to t, which gives t = n + 50.\n6. Substitute n = 3 to t, which gives t = 53.\n\nThus, the final answer is t = \\boxed{53}.",
"index": 9011,
"question": "Consider a system of variables where each variable is defined as follows: d = n + 6; l = a + 12; s = j + 3; a = n + 1; n = 3; t = v + 13; o = x + 18; p = d + 16; y = r + 9; j = l + 18; r = p + 12; x = y + 13; v = s + 3. If n = 3, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"k": "m + 3", "c": "k + 2", "p": "c + 13", "o": "p + 17", "a": "o + 16", "t": "a + 18", "x": "m + 11", "r": "x + 18", "z": "r + 14", "l": "z + 2", "h": "l + 11", "n": "h + 20", "m": 20}, "premises": {"m": 20}, "target": "t"}, "answer": {"steps": [["a", "o + 16", "o + 34"], ["o", "p + 17", "p + 51"], ["p", "c + 13", "c + 64"], ["c", "k + 2", "k + 66"], ["k", "m + 3", "m + 69"], ["m", 20, "89"]], "target_var_name": "t", "target_value": 89, "value_dict": {"m": 20}, "is_reverse": true}} | 9,012 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = o + 16; o = p + 17; n = h + 20; r = x + 18; k = m + 3; m = 20; t = a + 18; x = m + 11; c = k + 2; z = r + 14; p = c + 13; h = l + 11; l = z + 2. Given that m = 20, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = o + 16 to t, which gives t = o + 34.\n2. Substitute o = p + 17 to t, which gives t = p + 51.\n3. Substitute p = c + 13 to t, which gives t = c + 64.\n4. Substitute c = k + 2 to t, which gives t = k + 66.\n5. Substitute k = m + 3 to t, which gives t = m + 69.\n6. Substitute m = 20 to t, which gives t = 89.\n\nThus, the final answer is t = \\boxed{89}.",
"index": 9012,
"question": "Suppose a collection of variables is related by the following definitions: a = o + 16; o = p + 17; n = h + 20; r = x + 18; k = m + 3; m = 20; t = a + 18; x = m + 11; c = k + 2; z = r + 14; p = c + 13; h = l + 11; l = z + 2. Given that m = 20, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"y": "j + 9", "m": "y + 12", "x": "m + 3", "z": "x + 19", "b": "z + 3", "l": "b + 18", "k": "j + 5", "d": "k + 9", "t": "d + 9", "h": "t + 18", "u": "h + 7", "p": "u + 10", "j": 18}, "premises": {"j": 18}, "target": "l"}, "answer": {"steps": [["b", "z + 3", "z + 21"], ["z", "x + 19", "x + 40"], ["x", "m + 3", "m + 43"], ["m", "y + 12", "y + 55"], ["y", "j + 9", "j + 64"], ["j", 18, "82"]], "target_var_name": "l", "target_value": 82, "value_dict": {"j": 18}, "is_reverse": true}} | 9,013 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = b + 18; u = h + 7; b = z + 3; z = x + 19; x = m + 3; d = k + 9; p = u + 10; j = 18; m = y + 12; y = j + 9; t = d + 9; k = j + 5; h = t + 18. Given that j = 18, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = z + 3 to l, which gives l = z + 21.\n2. Substitute z = x + 19 to l, which gives l = x + 40.\n3. Substitute x = m + 3 to l, which gives l = m + 43.\n4. Substitute m = y + 12 to l, which gives l = y + 55.\n5. Substitute y = j + 9 to l, which gives l = j + 64.\n6. Substitute j = 18 to l, which gives l = 82.\n\nThus, the final answer is l = \\boxed{82}.",
"index": 9013,
"question": "Suppose a collection of variables is related by the following definitions: l = b + 18; u = h + 7; b = z + 3; z = x + 19; x = m + 3; d = k + 9; p = u + 10; j = 18; m = y + 12; y = j + 9; t = d + 9; k = j + 5; h = t + 18. Given that j = 18, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"g": "p + 9", "q": "g + 12", "m": "q + 9", "d": "m + 10", "y": "d + 1", "k": "y + 1", "h": "p + 15", "b": "h + 17", "e": "b + 20", "u": "e + 11", "l": "u + 17", "w": "l + 17", "p": 12}, "premises": {"p": 12}, "target": "k"}, "answer": {"steps": [["y", "d + 1", "d + 2"], ["d", "m + 10", "m + 12"], ["m", "q + 9", "q + 21"], ["q", "g + 12", "g + 33"], ["g", "p + 9", "p + 42"], ["p", 12, "54"]], "target_var_name": "k", "target_value": 54, "value_dict": {"p": 12}, "is_reverse": true}} | 9,014 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = p + 15; k = y + 1; q = g + 12; u = e + 11; d = m + 10; p = 12; g = p + 9; e = b + 20; b = h + 17; l = u + 17; y = d + 1; m = q + 9; w = l + 17. Given that p = 12, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = d + 1 to k, which gives k = d + 2.\n2. Substitute d = m + 10 to k, which gives k = m + 12.\n3. Substitute m = q + 9 to k, which gives k = q + 21.\n4. Substitute q = g + 12 to k, which gives k = g + 33.\n5. Substitute g = p + 9 to k, which gives k = p + 42.\n6. Substitute p = 12 to k, which gives k = 54.\n\nThus, the final answer is k = \\boxed{54}.",
"index": 9014,
"question": "Suppose a collection of variables is related by the following definitions: h = p + 15; k = y + 1; q = g + 12; u = e + 11; d = m + 10; p = 12; g = p + 9; e = b + 20; b = h + 17; l = u + 17; y = d + 1; m = q + 9; w = l + 17. Given that p = 12, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"w": "h + 9", "u": "w + 12", "m": "u + 19", "f": "m + 17", "n": "f + 3", "o": "n + 18", "b": "h + 9", "k": "b + 15", "l": "k + 6", "e": "l + 18", "r": "e + 7", "x": "r + 7", "h": 3}, "premises": {"h": 3}, "target": "o"}, "answer": {"steps": [["n", "f + 3", "f + 21"], ["f", "m + 17", "m + 38"], ["m", "u + 19", "u + 57"], ["u", "w + 12", "w + 69"], ["w", "h + 9", "h + 78"], ["h", 3, "81"]], "target_var_name": "o", "target_value": 81, "value_dict": {"h": 3}, "is_reverse": true}} | 9,015 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = h + 9; l = k + 6; k = b + 15; f = m + 17; h = 3; b = h + 9; e = l + 18; n = f + 3; u = w + 12; o = n + 18; r = e + 7; m = u + 19; x = r + 7. If h = 3, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = f + 3 to o, which gives o = f + 21.\n2. Substitute f = m + 17 to o, which gives o = m + 38.\n3. Substitute m = u + 19 to o, which gives o = u + 57.\n4. Substitute u = w + 12 to o, which gives o = w + 69.\n5. Substitute w = h + 9 to o, which gives o = h + 78.\n6. Substitute h = 3 to o, which gives o = 81.\n\nThus, the final answer is o = \\boxed{81}.",
"index": 9015,
"question": "Consider a system of variables where each variable is defined as follows: w = h + 9; l = k + 6; k = b + 15; f = m + 17; h = 3; b = h + 9; e = l + 18; n = f + 3; u = w + 12; o = n + 18; r = e + 7; m = u + 19; x = r + 7. If h = 3, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"v": "j + 5", "q": "v + 14", "n": "q + 19", "d": "n + 3", "w": "d + 20", "i": "w + 14", "y": "j + 9", "u": "y + 4", "z": "u + 11", "p": "z + 3", "m": "p + 17", "c": "m + 8", "j": 13}, "premises": {"j": 13}, "target": "i"}, "answer": {"steps": [["w", "d + 20", "d + 34"], ["d", "n + 3", "n + 37"], ["n", "q + 19", "q + 56"], ["q", "v + 14", "v + 70"], ["v", "j + 5", "j + 75"], ["j", 13, "88"]], "target_var_name": "i", "target_value": 88, "value_dict": {"j": 13}, "is_reverse": true}} | 9,016 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = u + 11; n = q + 19; j = 13; u = y + 4; p = z + 3; c = m + 8; v = j + 5; q = v + 14; w = d + 20; i = w + 14; m = p + 17; y = j + 9; d = n + 3. Given that j = 13, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = d + 20 to i, which gives i = d + 34.\n2. Substitute d = n + 3 to i, which gives i = n + 37.\n3. Substitute n = q + 19 to i, which gives i = q + 56.\n4. Substitute q = v + 14 to i, which gives i = v + 70.\n5. Substitute v = j + 5 to i, which gives i = j + 75.\n6. Substitute j = 13 to i, which gives i = 88.\n\nThus, the final answer is i = \\boxed{88}.",
"index": 9016,
"question": "Suppose a collection of variables is related by the following definitions: z = u + 11; n = q + 19; j = 13; u = y + 4; p = z + 3; c = m + 8; v = j + 5; q = v + 14; w = d + 20; i = w + 14; m = p + 17; y = j + 9; d = n + 3. Given that j = 13, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"f": "x + 1", "r": "f + 7", "w": "r + 12", "h": "w + 17", "s": "h + 19", "c": "s + 20", "z": "x + 20", "t": "z + 7", "b": "t + 9", "d": "b + 17", "g": "d + 18", "j": "g + 11", "x": 15}, "premises": {"x": 15}, "target": "c"}, "answer": {"steps": [["s", "h + 19", "h + 39"], ["h", "w + 17", "w + 56"], ["w", "r + 12", "r + 68"], ["r", "f + 7", "f + 75"], ["f", "x + 1", "x + 76"], ["x", 15, "91"]], "target_var_name": "c", "target_value": 91, "value_dict": {"x": 15}, "is_reverse": true}} | 9,017 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = r + 12; j = g + 11; g = d + 18; c = s + 20; t = z + 7; h = w + 17; f = x + 1; r = f + 7; b = t + 9; x = 15; d = b + 17; z = x + 20; s = h + 19. Given that x = 15, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = h + 19 to c, which gives c = h + 39.\n2. Substitute h = w + 17 to c, which gives c = w + 56.\n3. Substitute w = r + 12 to c, which gives c = r + 68.\n4. Substitute r = f + 7 to c, which gives c = f + 75.\n5. Substitute f = x + 1 to c, which gives c = x + 76.\n6. Substitute x = 15 to c, which gives c = 91.\n\nThus, the final answer is c = \\boxed{91}.",
"index": 9017,
"question": "Suppose a collection of variables is related by the following definitions: w = r + 12; j = g + 11; g = d + 18; c = s + 20; t = z + 7; h = w + 17; f = x + 1; r = f + 7; b = t + 9; x = 15; d = b + 17; z = x + 20; s = h + 19. Given that x = 15, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"h": "a + 3", "b": "h + 16", "k": "b + 13", "j": "k + 2", "m": "j + 17", "w": "m + 11", "d": "a + 5", "z": "d + 10", "o": "z + 8", "p": "o + 12", "c": "p + 14", "x": "c + 13", "a": 8}, "premises": {"a": 8}, "target": "w"}, "answer": {"steps": [["m", "j + 17", "j + 28"], ["j", "k + 2", "k + 30"], ["k", "b + 13", "b + 43"], ["b", "h + 16", "h + 59"], ["h", "a + 3", "a + 62"], ["a", 8, "70"]], "target_var_name": "w", "target_value": 70, "value_dict": {"a": 8}, "is_reverse": true}} | 9,018 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = p + 14; o = z + 8; x = c + 13; m = j + 17; p = o + 12; z = d + 10; b = h + 16; k = b + 13; j = k + 2; d = a + 5; h = a + 3; w = m + 11; a = 8. If a = 8, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = j + 17 to w, which gives w = j + 28.\n2. Substitute j = k + 2 to w, which gives w = k + 30.\n3. Substitute k = b + 13 to w, which gives w = b + 43.\n4. Substitute b = h + 16 to w, which gives w = h + 59.\n5. Substitute h = a + 3 to w, which gives w = a + 62.\n6. Substitute a = 8 to w, which gives w = 70.\n\nThus, the final answer is w = \\boxed{70}.",
"index": 9018,
"question": "Consider a system of variables where each variable is defined as follows: c = p + 14; o = z + 8; x = c + 13; m = j + 17; p = o + 12; z = d + 10; b = h + 16; k = b + 13; j = k + 2; d = a + 5; h = a + 3; w = m + 11; a = 8. If a = 8, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"w": "j + 14", "c": "w + 14", "l": "c + 13", "h": "l + 14", "v": "h + 9", "k": "v + 18", "z": "j + 8", "e": "z + 6", "m": "e + 17", "d": "m + 11", "u": "d + 5", "i": "u + 6", "j": 9}, "premises": {"j": 9}, "target": "k"}, "answer": {"steps": [["v", "h + 9", "h + 27"], ["h", "l + 14", "l + 41"], ["l", "c + 13", "c + 54"], ["c", "w + 14", "w + 68"], ["w", "j + 14", "j + 82"], ["j", 9, "91"]], "target_var_name": "k", "target_value": 91, "value_dict": {"j": 9}, "is_reverse": true}} | 9,019 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = m + 11; u = d + 5; i = u + 6; j = 9; w = j + 14; k = v + 18; h = l + 14; c = w + 14; l = c + 13; e = z + 6; z = j + 8; v = h + 9; m = e + 17. Given that j = 9, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = h + 9 to k, which gives k = h + 27.\n2. Substitute h = l + 14 to k, which gives k = l + 41.\n3. Substitute l = c + 13 to k, which gives k = c + 54.\n4. Substitute c = w + 14 to k, which gives k = w + 68.\n5. Substitute w = j + 14 to k, which gives k = j + 82.\n6. Substitute j = 9 to k, which gives k = 91.\n\nThus, the final answer is k = \\boxed{91}.",
"index": 9019,
"question": "Suppose a collection of variables is related by the following definitions: d = m + 11; u = d + 5; i = u + 6; j = 9; w = j + 14; k = v + 18; h = l + 14; c = w + 14; l = c + 13; e = z + 6; z = j + 8; v = h + 9; m = e + 17. Given that j = 9, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"b": "x + 14", "q": "b + 1", "o": "q + 1", "m": "o + 5", "c": "m + 18", "i": "c + 19", "r": "x + 12", "z": "r + 13", "s": "z + 13", "p": "s + 8", "t": "p + 12", "l": "t + 9", "x": 8}, "premises": {"x": 8}, "target": "i"}, "answer": {"steps": [["c", "m + 18", "m + 37"], ["m", "o + 5", "o + 42"], ["o", "q + 1", "q + 43"], ["q", "b + 1", "b + 44"], ["b", "x + 14", "x + 58"], ["x", 8, "66"]], "target_var_name": "i", "target_value": 66, "value_dict": {"x": 8}, "is_reverse": true}} | 9,020 | 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 = x + 14; r = x + 12; l = t + 9; q = b + 1; s = z + 13; p = s + 8; z = r + 13; o = q + 1; m = o + 5; i = c + 19; x = 8; t = p + 12; c = m + 18. If x = 8, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = m + 18 to i, which gives i = m + 37.\n2. Substitute m = o + 5 to i, which gives i = o + 42.\n3. Substitute o = q + 1 to i, which gives i = q + 43.\n4. Substitute q = b + 1 to i, which gives i = b + 44.\n5. Substitute b = x + 14 to i, which gives i = x + 58.\n6. Substitute x = 8 to i, which gives i = 66.\n\nThus, the final answer is i = \\boxed{66}.",
"index": 9020,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = x + 14; r = x + 12; l = t + 9; q = b + 1; s = z + 13; p = s + 8; z = r + 13; o = q + 1; m = o + 5; i = c + 19; x = 8; t = p + 12; c = m + 18. If x = 8, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"s": "w + 12", "o": "s + 12", "n": "o + 5", "x": "n + 14", "g": "x + 16", "q": "g + 13", "v": "w + 4", "h": "v + 9", "r": "h + 20", "z": "r + 16", "m": "z + 6", "i": "m + 20", "w": 20}, "premises": {"w": 20}, "target": "q"}, "answer": {"steps": [["g", "x + 16", "x + 29"], ["x", "n + 14", "n + 43"], ["n", "o + 5", "o + 48"], ["o", "s + 12", "s + 60"], ["s", "w + 12", "w + 72"], ["w", 20, "92"]], "target_var_name": "q", "target_value": 92, "value_dict": {"w": 20}, "is_reverse": true}} | 9,021 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = z + 6; g = x + 16; v = w + 4; s = w + 12; z = r + 16; i = m + 20; r = h + 20; o = s + 12; w = 20; h = v + 9; q = g + 13; n = o + 5; x = n + 14. Given that w = 20, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = x + 16 to q, which gives q = x + 29.\n2. Substitute x = n + 14 to q, which gives q = n + 43.\n3. Substitute n = o + 5 to q, which gives q = o + 48.\n4. Substitute o = s + 12 to q, which gives q = s + 60.\n5. Substitute s = w + 12 to q, which gives q = w + 72.\n6. Substitute w = 20 to q, which gives q = 92.\n\nThus, the final answer is q = \\boxed{92}.",
"index": 9021,
"question": "Suppose a collection of variables is related by the following definitions: m = z + 6; g = x + 16; v = w + 4; s = w + 12; z = r + 16; i = m + 20; r = h + 20; o = s + 12; w = 20; h = v + 9; q = g + 13; n = o + 5; x = n + 14. Given that w = 20, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"f": "b + 12", "i": "f + 11", "r": "i + 16", "m": "r + 19", "w": "m + 15", "e": "w + 11", "o": "b + 4", "c": "o + 2", "s": "c + 17", "q": "s + 4", "d": "q + 6", "l": "d + 5", "b": 19}, "premises": {"b": 19}, "target": "e"}, "answer": {"steps": [["w", "m + 15", "m + 26"], ["m", "r + 19", "r + 45"], ["r", "i + 16", "i + 61"], ["i", "f + 11", "f + 72"], ["f", "b + 12", "b + 84"], ["b", 19, "103"]], "target_var_name": "e", "target_value": 103, "value_dict": {"b": 19}, "is_reverse": true}} | 9,022 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = 19; s = c + 17; r = i + 16; c = o + 2; q = s + 4; m = r + 19; f = b + 12; d = q + 6; w = m + 15; i = f + 11; o = b + 4; e = w + 11; l = d + 5. Given that b = 19, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 103,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = m + 15 to e, which gives e = m + 26.\n2. Substitute m = r + 19 to e, which gives e = r + 45.\n3. Substitute r = i + 16 to e, which gives e = i + 61.\n4. Substitute i = f + 11 to e, which gives e = f + 72.\n5. Substitute f = b + 12 to e, which gives e = b + 84.\n6. Substitute b = 19 to e, which gives e = 103.\n\nThus, the final answer is e = \\boxed{103}.",
"index": 9022,
"question": "Suppose a collection of variables is related by the following definitions: b = 19; s = c + 17; r = i + 16; c = o + 2; q = s + 4; m = r + 19; f = b + 12; d = q + 6; w = m + 15; i = f + 11; o = b + 4; e = w + 11; l = d + 5. Given that b = 19, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"e": "u + 9", "y": "e + 17", "s": "y + 15", "k": "s + 6", "a": "k + 9", "z": "a + 15", "v": "u + 12", "c": "v + 2", "j": "c + 4", "w": "j + 14", "m": "w + 8", "h": "m + 3", "u": 11}, "premises": {"u": 11}, "target": "z"}, "answer": {"steps": [["a", "k + 9", "k + 24"], ["k", "s + 6", "s + 30"], ["s", "y + 15", "y + 45"], ["y", "e + 17", "e + 62"], ["e", "u + 9", "u + 71"], ["u", 11, "82"]], "target_var_name": "z", "target_value": 82, "value_dict": {"u": 11}, "is_reverse": true}} | 9,023 | 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 + 15; c = v + 2; v = u + 12; a = k + 9; h = m + 3; w = j + 14; j = c + 4; e = u + 9; m = w + 8; u = 11; z = a + 15; y = e + 17; k = s + 6. If u = 11, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = k + 9 to z, which gives z = k + 24.\n2. Substitute k = s + 6 to z, which gives z = s + 30.\n3. Substitute s = y + 15 to z, which gives z = y + 45.\n4. Substitute y = e + 17 to z, which gives z = e + 62.\n5. Substitute e = u + 9 to z, which gives z = u + 71.\n6. Substitute u = 11 to z, which gives z = 82.\n\nThus, the final answer is z = \\boxed{82}.",
"index": 9023,
"question": "Consider a system of variables where each variable is defined as follows: s = y + 15; c = v + 2; v = u + 12; a = k + 9; h = m + 3; w = j + 14; j = c + 4; e = u + 9; m = w + 8; u = 11; z = a + 15; y = e + 17; k = s + 6. If u = 11, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"q": "r + 7", "z": "q + 16", "v": "z + 11", "t": "v + 12", "k": "t + 4", "x": "k + 10", "h": "r + 9", "c": "h + 8", "u": "c + 14", "y": "u + 2", "w": "y + 2", "l": "w + 4", "r": 2}, "premises": {"r": 2}, "target": "x"}, "answer": {"steps": [["k", "t + 4", "t + 14"], ["t", "v + 12", "v + 26"], ["v", "z + 11", "z + 37"], ["z", "q + 16", "q + 53"], ["q", "r + 7", "r + 60"], ["r", 2, "62"]], "target_var_name": "x", "target_value": 62, "value_dict": {"r": 2}, "is_reverse": true}} | 9,024 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = z + 11; q = r + 7; l = w + 4; t = v + 12; r = 2; z = q + 16; y = u + 2; x = k + 10; c = h + 8; h = r + 9; u = c + 14; k = t + 4; w = y + 2. If r = 2, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = t + 4 to x, which gives x = t + 14.\n2. Substitute t = v + 12 to x, which gives x = v + 26.\n3. Substitute v = z + 11 to x, which gives x = z + 37.\n4. Substitute z = q + 16 to x, which gives x = q + 53.\n5. Substitute q = r + 7 to x, which gives x = r + 60.\n6. Substitute r = 2 to x, which gives x = 62.\n\nThus, the final answer is x = \\boxed{62}.",
"index": 9024,
"question": "Consider a system of variables where each variable is defined as follows: v = z + 11; q = r + 7; l = w + 4; t = v + 12; r = 2; z = q + 16; y = u + 2; x = k + 10; c = h + 8; h = r + 9; u = c + 14; k = t + 4; w = y + 2. If r = 2, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"a": "w + 16", "m": "a + 5", "p": "m + 7", "y": "p + 7", "g": "y + 13", "h": "g + 11", "s": "w + 10", "x": "s + 8", "o": "x + 9", "n": "o + 12", "t": "n + 5", "u": "t + 12", "w": 17}, "premises": {"w": 17}, "target": "h"}, "answer": {"steps": [["g", "y + 13", "y + 24"], ["y", "p + 7", "p + 31"], ["p", "m + 7", "m + 38"], ["m", "a + 5", "a + 43"], ["a", "w + 16", "w + 59"], ["w", 17, "76"]], "target_var_name": "h", "target_value": 76, "value_dict": {"w": 17}, "is_reverse": true}} | 9,025 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = 17; o = x + 9; t = n + 5; x = s + 8; y = p + 7; h = g + 11; m = a + 5; n = o + 12; a = w + 16; p = m + 7; s = w + 10; u = t + 12; g = y + 13. If w = 17, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = y + 13 to h, which gives h = y + 24.\n2. Substitute y = p + 7 to h, which gives h = p + 31.\n3. Substitute p = m + 7 to h, which gives h = m + 38.\n4. Substitute m = a + 5 to h, which gives h = a + 43.\n5. Substitute a = w + 16 to h, which gives h = w + 59.\n6. Substitute w = 17 to h, which gives h = 76.\n\nThus, the final answer is h = \\boxed{76}.",
"index": 9025,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = 17; o = x + 9; t = n + 5; x = s + 8; y = p + 7; h = g + 11; m = a + 5; n = o + 12; a = w + 16; p = m + 7; s = w + 10; u = t + 12; g = y + 13. If w = 17, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"i": "d + 4", "c": "i + 1", "y": "c + 17", "k": "y + 13", "q": "k + 19", "r": "q + 18", "n": "d + 20", "g": "n + 8", "w": "g + 6", "l": "w + 7", "f": "l + 16", "h": "f + 6", "d": 8}, "premises": {"d": 8}, "target": "r"}, "answer": {"steps": [["q", "k + 19", "k + 37"], ["k", "y + 13", "y + 50"], ["y", "c + 17", "c + 67"], ["c", "i + 1", "i + 68"], ["i", "d + 4", "d + 72"], ["d", 8, "80"]], "target_var_name": "r", "target_value": 80, "value_dict": {"d": 8}, "is_reverse": true}} | 9,026 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = d + 20; y = c + 17; c = i + 1; r = q + 18; i = d + 4; l = w + 7; f = l + 16; k = y + 13; d = 8; q = k + 19; h = f + 6; g = n + 8; w = g + 6. If d = 8, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = k + 19 to r, which gives r = k + 37.\n2. Substitute k = y + 13 to r, which gives r = y + 50.\n3. Substitute y = c + 17 to r, which gives r = c + 67.\n4. Substitute c = i + 1 to r, which gives r = i + 68.\n5. Substitute i = d + 4 to r, which gives r = d + 72.\n6. Substitute d = 8 to r, which gives r = 80.\n\nThus, the final answer is r = \\boxed{80}.",
"index": 9026,
"question": "Consider a system of variables where each variable is defined as follows: n = d + 20; y = c + 17; c = i + 1; r = q + 18; i = d + 4; l = w + 7; f = l + 16; k = y + 13; d = 8; q = k + 19; h = f + 6; g = n + 8; w = g + 6. If d = 8, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"u": "b + 2", "k": "u + 11", "i": "k + 5", "s": "i + 3", "l": "s + 7", "m": "l + 10", "y": "b + 3", "e": "y + 4", "f": "e + 10", "r": "f + 8", "x": "r + 4", "a": "x + 20", "b": 16}, "premises": {"b": 16}, "target": "m"}, "answer": {"steps": [["l", "s + 7", "s + 17"], ["s", "i + 3", "i + 20"], ["i", "k + 5", "k + 25"], ["k", "u + 11", "u + 36"], ["u", "b + 2", "b + 38"], ["b", 16, "54"]], "target_var_name": "m", "target_value": 54, "value_dict": {"b": 16}, "is_reverse": true}} | 9,027 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = x + 20; b = 16; l = s + 7; e = y + 4; r = f + 8; k = u + 11; y = b + 3; f = e + 10; i = k + 5; x = r + 4; m = l + 10; s = i + 3; u = b + 2. If b = 16, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = s + 7 to m, which gives m = s + 17.\n2. Substitute s = i + 3 to m, which gives m = i + 20.\n3. Substitute i = k + 5 to m, which gives m = k + 25.\n4. Substitute k = u + 11 to m, which gives m = u + 36.\n5. Substitute u = b + 2 to m, which gives m = b + 38.\n6. Substitute b = 16 to m, which gives m = 54.\n\nThus, the final answer is m = \\boxed{54}.",
"index": 9027,
"question": "Consider a system of variables where each variable is defined as follows: a = x + 20; b = 16; l = s + 7; e = y + 4; r = f + 8; k = u + 11; y = b + 3; f = e + 10; i = k + 5; x = r + 4; m = l + 10; s = i + 3; u = b + 2. If b = 16, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"d": "e + 13", "a": "d + 3", "u": "a + 20", "k": "u + 20", "y": "k + 11", "w": "y + 4", "f": "e + 1", "c": "f + 19", "x": "c + 4", "j": "x + 3", "s": "j + 15", "r": "s + 20", "e": 16}, "premises": {"e": 16}, "target": "w"}, "answer": {"steps": [["y", "k + 11", "k + 15"], ["k", "u + 20", "u + 35"], ["u", "a + 20", "a + 55"], ["a", "d + 3", "d + 58"], ["d", "e + 13", "e + 71"], ["e", 16, "87"]], "target_var_name": "w", "target_value": 87, "value_dict": {"e": 16}, "is_reverse": true}} | 9,028 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = e + 1; x = c + 4; c = f + 19; e = 16; j = x + 3; u = a + 20; d = e + 13; k = u + 20; w = y + 4; a = d + 3; s = j + 15; y = k + 11; r = s + 20. If e = 16, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = k + 11 to w, which gives w = k + 15.\n2. Substitute k = u + 20 to w, which gives w = u + 35.\n3. Substitute u = a + 20 to w, which gives w = a + 55.\n4. Substitute a = d + 3 to w, which gives w = d + 58.\n5. Substitute d = e + 13 to w, which gives w = e + 71.\n6. Substitute e = 16 to w, which gives w = 87.\n\nThus, the final answer is w = \\boxed{87}.",
"index": 9028,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = e + 1; x = c + 4; c = f + 19; e = 16; j = x + 3; u = a + 20; d = e + 13; k = u + 20; w = y + 4; a = d + 3; s = j + 15; y = k + 11; r = s + 20. If e = 16, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"w": "v + 9", "x": "w + 15", "r": "x + 8", "k": "r + 9", "a": "k + 11", "i": "a + 4", "o": "v + 17", "p": "o + 14", "g": "p + 2", "s": "g + 9", "j": "s + 12", "q": "j + 19", "v": 5}, "premises": {"v": 5}, "target": "i"}, "answer": {"steps": [["a", "k + 11", "k + 15"], ["k", "r + 9", "r + 24"], ["r", "x + 8", "x + 32"], ["x", "w + 15", "w + 47"], ["w", "v + 9", "v + 56"], ["v", 5, "61"]], "target_var_name": "i", "target_value": 61, "value_dict": {"v": 5}, "is_reverse": true}} | 9,029 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = k + 11; q = j + 19; v = 5; i = a + 4; w = v + 9; x = w + 15; p = o + 14; k = r + 9; o = v + 17; r = x + 8; g = p + 2; j = s + 12; s = g + 9. If v = 5, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = k + 11 to i, which gives i = k + 15.\n2. Substitute k = r + 9 to i, which gives i = r + 24.\n3. Substitute r = x + 8 to i, which gives i = x + 32.\n4. Substitute x = w + 15 to i, which gives i = w + 47.\n5. Substitute w = v + 9 to i, which gives i = v + 56.\n6. Substitute v = 5 to i, which gives i = 61.\n\nThus, the final answer is i = \\boxed{61}.",
"index": 9029,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = k + 11; q = j + 19; v = 5; i = a + 4; w = v + 9; x = w + 15; p = o + 14; k = r + 9; o = v + 17; r = x + 8; g = p + 2; j = s + 12; s = g + 9. If v = 5, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"p": "n + 12", "s": "p + 12", "m": "s + 7", "x": "m + 16", "h": "x + 17", "k": "h + 13", "f": "n + 13", "w": "f + 8", "q": "w + 5", "c": "q + 18", "l": "c + 10", "d": "l + 9", "n": 8}, "premises": {"n": 8}, "target": "k"}, "answer": {"steps": [["h", "x + 17", "x + 30"], ["x", "m + 16", "m + 46"], ["m", "s + 7", "s + 53"], ["s", "p + 12", "p + 65"], ["p", "n + 12", "n + 77"], ["n", 8, "85"]], "target_var_name": "k", "target_value": 85, "value_dict": {"n": 8}, "is_reverse": true}} | 9,030 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = p + 12; f = n + 13; d = l + 9; k = h + 13; n = 8; h = x + 17; c = q + 18; l = c + 10; x = m + 16; q = w + 5; w = f + 8; m = s + 7; p = n + 12. If n = 8, what is the resulting 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 h = x + 17 to k, which gives k = x + 30.\n2. Substitute x = m + 16 to k, which gives k = m + 46.\n3. Substitute m = s + 7 to k, which gives k = s + 53.\n4. Substitute s = p + 12 to k, which gives k = p + 65.\n5. Substitute p = n + 12 to k, which gives k = n + 77.\n6. Substitute n = 8 to k, which gives k = 85.\n\nThus, the final answer is k = \\boxed{85}.",
"index": 9030,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = p + 12; f = n + 13; d = l + 9; k = h + 13; n = 8; h = x + 17; c = q + 18; l = c + 10; x = m + 16; q = w + 5; w = f + 8; m = s + 7; p = n + 12. If n = 8, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"t": "y + 14", "k": "t + 19", "f": "k + 1", "v": "f + 3", "x": "v + 16", "r": "x + 14", "e": "y + 15", "q": "e + 20", "w": "q + 12", "a": "w + 8", "z": "a + 19", "g": "z + 17", "y": 1}, "premises": {"y": 1}, "target": "r"}, "answer": {"steps": [["x", "v + 16", "v + 30"], ["v", "f + 3", "f + 33"], ["f", "k + 1", "k + 34"], ["k", "t + 19", "t + 53"], ["t", "y + 14", "y + 67"], ["y", 1, "68"]], "target_var_name": "r", "target_value": 68, "value_dict": {"y": 1}, "is_reverse": true}} | 9,031 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = e + 20; k = t + 19; g = z + 17; f = k + 1; x = v + 16; y = 1; r = x + 14; v = f + 3; w = q + 12; z = a + 19; a = w + 8; t = y + 14; e = y + 15. If y = 1, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = v + 16 to r, which gives r = v + 30.\n2. Substitute v = f + 3 to r, which gives r = f + 33.\n3. Substitute f = k + 1 to r, which gives r = k + 34.\n4. Substitute k = t + 19 to r, which gives r = t + 53.\n5. Substitute t = y + 14 to r, which gives r = y + 67.\n6. Substitute y = 1 to r, which gives r = 68.\n\nThus, the final answer is r = \\boxed{68}.",
"index": 9031,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = e + 20; k = t + 19; g = z + 17; f = k + 1; x = v + 16; y = 1; r = x + 14; v = f + 3; w = q + 12; z = a + 19; a = w + 8; t = y + 14; e = y + 15. If y = 1, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"x": "r + 10", "u": "x + 8", "b": "u + 2", "m": "b + 8", "p": "m + 10", "d": "p + 18", "n": "r + 10", "o": "n + 11", "c": "o + 3", "h": "c + 12", "s": "h + 3", "q": "s + 6", "r": 14}, "premises": {"r": 14}, "target": "d"}, "answer": {"steps": [["p", "m + 10", "m + 28"], ["m", "b + 8", "b + 36"], ["b", "u + 2", "u + 38"], ["u", "x + 8", "x + 46"], ["x", "r + 10", "r + 56"], ["r", 14, "70"]], "target_var_name": "d", "target_value": 70, "value_dict": {"r": 14}, "is_reverse": true}} | 9,032 | 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 = o + 3; d = p + 18; q = s + 6; b = u + 2; o = n + 11; x = r + 10; u = x + 8; s = h + 3; r = 14; m = b + 8; h = c + 12; n = r + 10; p = m + 10. If r = 14, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = m + 10 to d, which gives d = m + 28.\n2. Substitute m = b + 8 to d, which gives d = b + 36.\n3. Substitute b = u + 2 to d, which gives d = u + 38.\n4. Substitute u = x + 8 to d, which gives d = x + 46.\n5. Substitute x = r + 10 to d, which gives d = r + 56.\n6. Substitute r = 14 to d, which gives d = 70.\n\nThus, the final answer is d = \\boxed{70}.",
"index": 9032,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = o + 3; d = p + 18; q = s + 6; b = u + 2; o = n + 11; x = r + 10; u = x + 8; s = h + 3; r = 14; m = b + 8; h = c + 12; n = r + 10; p = m + 10. If r = 14, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"l": "w + 12", "c": "l + 14", "m": "c + 6", "p": "m + 14", "h": "p + 4", "u": "h + 14", "a": "w + 12", "o": "a + 11", "z": "o + 19", "i": "z + 2", "q": "i + 2", "y": "q + 19", "w": 3}, "premises": {"w": 3}, "target": "u"}, "answer": {"steps": [["h", "p + 4", "p + 18"], ["p", "m + 14", "m + 32"], ["m", "c + 6", "c + 38"], ["c", "l + 14", "l + 52"], ["l", "w + 12", "w + 64"], ["w", 3, "67"]], "target_var_name": "u", "target_value": 67, "value_dict": {"w": 3}, "is_reverse": true}} | 9,033 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = 3; z = o + 19; i = z + 2; l = w + 12; h = p + 4; c = l + 14; m = c + 6; p = m + 14; o = a + 11; u = h + 14; q = i + 2; a = w + 12; y = q + 19. If w = 3, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = p + 4 to u, which gives u = p + 18.\n2. Substitute p = m + 14 to u, which gives u = m + 32.\n3. Substitute m = c + 6 to u, which gives u = c + 38.\n4. Substitute c = l + 14 to u, which gives u = l + 52.\n5. Substitute l = w + 12 to u, which gives u = w + 64.\n6. Substitute w = 3 to u, which gives u = 67.\n\nThus, the final answer is u = \\boxed{67}.",
"index": 9033,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = 3; z = o + 19; i = z + 2; l = w + 12; h = p + 4; c = l + 14; m = c + 6; p = m + 14; o = a + 11; u = h + 14; q = i + 2; a = w + 12; y = q + 19. If w = 3, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"f": "i + 2", "m": "f + 12", "o": "m + 1", "r": "o + 11", "h": "r + 1", "c": "h + 11", "n": "i + 19", "b": "n + 1", "l": "b + 12", "d": "l + 14", "q": "d + 7", "g": "q + 5", "i": 6}, "premises": {"i": 6}, "target": "c"}, "answer": {"steps": [["h", "r + 1", "r + 12"], ["r", "o + 11", "o + 23"], ["o", "m + 1", "m + 24"], ["m", "f + 12", "f + 36"], ["f", "i + 2", "i + 38"], ["i", 6, "44"]], "target_var_name": "c", "target_value": 44, "value_dict": {"i": 6}, "is_reverse": true}} | 9,034 | 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 + 2; m = f + 12; l = b + 12; r = o + 11; o = m + 1; g = q + 5; h = r + 1; b = n + 1; i = 6; c = h + 11; d = l + 14; n = i + 19; q = d + 7. If i = 6, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 44,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = r + 1 to c, which gives c = r + 12.\n2. Substitute r = o + 11 to c, which gives c = o + 23.\n3. Substitute o = m + 1 to c, which gives c = m + 24.\n4. Substitute m = f + 12 to c, which gives c = f + 36.\n5. Substitute f = i + 2 to c, which gives c = i + 38.\n6. Substitute i = 6 to c, which gives c = 44.\n\nThus, the final answer is c = \\boxed{44}.",
"index": 9034,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = i + 2; m = f + 12; l = b + 12; r = o + 11; o = m + 1; g = q + 5; h = r + 1; b = n + 1; i = 6; c = h + 11; d = l + 14; n = i + 19; q = d + 7. If i = 6, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"e": "g + 6", "a": "e + 20", "o": "a + 3", "i": "o + 19", "b": "i + 4", "k": "b + 7", "h": "g + 9", "d": "h + 18", "x": "d + 15", "m": "x + 17", "y": "m + 1", "f": "y + 4", "g": 7}, "premises": {"g": 7}, "target": "k"}, "answer": {"steps": [["b", "i + 4", "i + 11"], ["i", "o + 19", "o + 30"], ["o", "a + 3", "a + 33"], ["a", "e + 20", "e + 53"], ["e", "g + 6", "g + 59"], ["g", 7, "66"]], "target_var_name": "k", "target_value": 66, "value_dict": {"g": 7}, "is_reverse": true}} | 9,035 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = g + 9; a = e + 20; e = g + 6; k = b + 7; b = i + 4; x = d + 15; i = o + 19; o = a + 3; y = m + 1; m = x + 17; f = y + 4; d = h + 18; g = 7. If g = 7, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = i + 4 to k, which gives k = i + 11.\n2. Substitute i = o + 19 to k, which gives k = o + 30.\n3. Substitute o = a + 3 to k, which gives k = a + 33.\n4. Substitute a = e + 20 to k, which gives k = e + 53.\n5. Substitute e = g + 6 to k, which gives k = g + 59.\n6. Substitute g = 7 to k, which gives k = 66.\n\nThus, the final answer is k = \\boxed{66}.",
"index": 9035,
"question": "Consider a system of variables where each variable is defined as follows: h = g + 9; a = e + 20; e = g + 6; k = b + 7; b = i + 4; x = d + 15; i = o + 19; o = a + 3; y = m + 1; m = x + 17; f = y + 4; d = h + 18; g = 7. If g = 7, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"g": "a + 3", "v": "g + 1", "f": "v + 1", "q": "f + 13", "y": "q + 8", "w": "y + 4", "x": "a + 12", "m": "x + 10", "t": "m + 20", "b": "t + 10", "o": "b + 4", "s": "o + 14", "a": 3}, "premises": {"a": 3}, "target": "w"}, "answer": {"steps": [["y", "q + 8", "q + 12"], ["q", "f + 13", "f + 25"], ["f", "v + 1", "v + 26"], ["v", "g + 1", "g + 27"], ["g", "a + 3", "a + 30"], ["a", 3, "33"]], "target_var_name": "w", "target_value": 33, "value_dict": {"a": 3}, "is_reverse": true}} | 9,036 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = y + 4; q = f + 13; f = v + 1; b = t + 10; o = b + 4; s = o + 14; x = a + 12; g = a + 3; t = m + 20; v = g + 1; a = 3; m = x + 10; y = q + 8. If a = 3, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 33,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = q + 8 to w, which gives w = q + 12.\n2. Substitute q = f + 13 to w, which gives w = f + 25.\n3. Substitute f = v + 1 to w, which gives w = v + 26.\n4. Substitute v = g + 1 to w, which gives w = g + 27.\n5. Substitute g = a + 3 to w, which gives w = a + 30.\n6. Substitute a = 3 to w, which gives w = 33.\n\nThus, the final answer is w = \\boxed{33}.",
"index": 9036,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = y + 4; q = f + 13; f = v + 1; b = t + 10; o = b + 4; s = o + 14; x = a + 12; g = a + 3; t = m + 20; v = g + 1; a = 3; m = x + 10; y = q + 8. If a = 3, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"s": "i + 9", "f": "s + 9", "d": "f + 5", "o": "d + 10", "n": "o + 9", "a": "n + 12", "r": "i + 17", "j": "r + 7", "y": "j + 17", "m": "y + 11", "g": "m + 4", "v": "g + 14", "i": 9}, "premises": {"i": 9}, "target": "a"}, "answer": {"steps": [["n", "o + 9", "o + 21"], ["o", "d + 10", "d + 31"], ["d", "f + 5", "f + 36"], ["f", "s + 9", "s + 45"], ["s", "i + 9", "i + 54"], ["i", 9, "63"]], "target_var_name": "a", "target_value": 63, "value_dict": {"i": 9}, "is_reverse": true}} | 9,037 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = i + 9; v = g + 14; f = s + 9; y = j + 17; a = n + 12; g = m + 4; m = y + 11; n = o + 9; i = 9; r = i + 17; d = f + 5; o = d + 10; j = r + 7. Given that i = 9, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = o + 9 to a, which gives a = o + 21.\n2. Substitute o = d + 10 to a, which gives a = d + 31.\n3. Substitute d = f + 5 to a, which gives a = f + 36.\n4. Substitute f = s + 9 to a, which gives a = s + 45.\n5. Substitute s = i + 9 to a, which gives a = i + 54.\n6. Substitute i = 9 to a, which gives a = 63.\n\nThus, the final answer is a = \\boxed{63}.",
"index": 9037,
"question": "Suppose a collection of variables is related by the following definitions: s = i + 9; v = g + 14; f = s + 9; y = j + 17; a = n + 12; g = m + 4; m = y + 11; n = o + 9; i = 9; r = i + 17; d = f + 5; o = d + 10; j = r + 7. Given that i = 9, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"m": "d + 19", "k": "m + 18", "h": "k + 3", "z": "h + 1", "v": "z + 8", "l": "v + 6", "s": "d + 13", "n": "s + 1", "f": "n + 20", "w": "f + 9", "o": "w + 14", "y": "o + 6", "d": 1}, "premises": {"d": 1}, "target": "l"}, "answer": {"steps": [["v", "z + 8", "z + 14"], ["z", "h + 1", "h + 15"], ["h", "k + 3", "k + 18"], ["k", "m + 18", "m + 36"], ["m", "d + 19", "d + 55"], ["d", 1, "56"]], "target_var_name": "l", "target_value": 56, "value_dict": {"d": 1}, "is_reverse": true}} | 9,038 | 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 = h + 1; y = o + 6; w = f + 9; l = v + 6; m = d + 19; o = w + 14; n = s + 1; f = n + 20; s = d + 13; d = 1; v = z + 8; h = k + 3; k = m + 18. If d = 1, what is the resulting 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 v = z + 8 to l, which gives l = z + 14.\n2. Substitute z = h + 1 to l, which gives l = h + 15.\n3. Substitute h = k + 3 to l, which gives l = k + 18.\n4. Substitute k = m + 18 to l, which gives l = m + 36.\n5. Substitute m = d + 19 to l, which gives l = d + 55.\n6. Substitute d = 1 to l, which gives l = 56.\n\nThus, the final answer is l = \\boxed{56}.",
"index": 9038,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = h + 1; y = o + 6; w = f + 9; l = v + 6; m = d + 19; o = w + 14; n = s + 1; f = n + 20; s = d + 13; d = 1; v = z + 8; h = k + 3; k = m + 18. If d = 1, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"o": "e + 20", "f": "o + 10", "v": "f + 8", "m": "v + 14", "s": "m + 19", "w": "s + 8", "c": "e + 16", "n": "c + 17", "q": "n + 4", "r": "q + 10", "u": "r + 11", "j": "u + 20", "e": 6}, "premises": {"e": 6}, "target": "w"}, "answer": {"steps": [["s", "m + 19", "m + 27"], ["m", "v + 14", "v + 41"], ["v", "f + 8", "f + 49"], ["f", "o + 10", "o + 59"], ["o", "e + 20", "e + 79"], ["e", 6, "85"]], "target_var_name": "w", "target_value": 85, "value_dict": {"e": 6}, "is_reverse": true}} | 9,039 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = o + 10; w = s + 8; n = c + 17; j = u + 20; s = m + 19; o = e + 20; c = e + 16; m = v + 14; q = n + 4; v = f + 8; u = r + 11; r = q + 10; e = 6. If e = 6, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = m + 19 to w, which gives w = m + 27.\n2. Substitute m = v + 14 to w, which gives w = v + 41.\n3. Substitute v = f + 8 to w, which gives w = f + 49.\n4. Substitute f = o + 10 to w, which gives w = o + 59.\n5. Substitute o = e + 20 to w, which gives w = e + 79.\n6. Substitute e = 6 to w, which gives w = 85.\n\nThus, the final answer is w = \\boxed{85}.",
"index": 9039,
"question": "Consider a system of variables where each variable is defined as follows: f = o + 10; w = s + 8; n = c + 17; j = u + 20; s = m + 19; o = e + 20; c = e + 16; m = v + 14; q = n + 4; v = f + 8; u = r + 11; r = q + 10; e = 6. If e = 6, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"u": "x + 13", "q": "u + 11", "i": "q + 19", "c": "i + 11", "o": "c + 7", "r": "o + 20", "f": "x + 13", "k": "f + 3", "e": "k + 16", "v": "e + 17", "n": "v + 9", "m": "n + 13", "x": 14}, "premises": {"x": 14}, "target": "r"}, "answer": {"steps": [["o", "c + 7", "c + 27"], ["c", "i + 11", "i + 38"], ["i", "q + 19", "q + 57"], ["q", "u + 11", "u + 68"], ["u", "x + 13", "x + 81"], ["x", 14, "95"]], "target_var_name": "r", "target_value": 95, "value_dict": {"x": 14}, "is_reverse": true}} | 9,040 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = q + 19; f = x + 13; u = x + 13; v = e + 17; r = o + 20; n = v + 9; m = n + 13; c = i + 11; k = f + 3; x = 14; e = k + 16; q = u + 11; o = c + 7. If x = 14, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = c + 7 to r, which gives r = c + 27.\n2. Substitute c = i + 11 to r, which gives r = i + 38.\n3. Substitute i = q + 19 to r, which gives r = q + 57.\n4. Substitute q = u + 11 to r, which gives r = u + 68.\n5. Substitute u = x + 13 to r, which gives r = x + 81.\n6. Substitute x = 14 to r, which gives r = 95.\n\nThus, the final answer is r = \\boxed{95}.",
"index": 9040,
"question": "Consider a system of variables where each variable is defined as follows: i = q + 19; f = x + 13; u = x + 13; v = e + 17; r = o + 20; n = v + 9; m = n + 13; c = i + 11; k = f + 3; x = 14; e = k + 16; q = u + 11; o = c + 7. If x = 14, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"i": "a + 3", "q": "i + 2", "p": "q + 17", "b": "p + 12", "x": "b + 13", "k": "x + 15", "h": "a + 3", "f": "h + 9", "e": "f + 3", "n": "e + 5", "u": "n + 19", "r": "u + 11", "a": 10}, "premises": {"a": 10}, "target": "k"}, "answer": {"steps": [["x", "b + 13", "b + 28"], ["b", "p + 12", "p + 40"], ["p", "q + 17", "q + 57"], ["q", "i + 2", "i + 59"], ["i", "a + 3", "a + 62"], ["a", 10, "72"]], "target_var_name": "k", "target_value": 72, "value_dict": {"a": 10}, "is_reverse": true}} | 9,041 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = 10; e = f + 3; n = e + 5; h = a + 3; f = h + 9; b = p + 12; p = q + 17; u = n + 19; q = i + 2; r = u + 11; i = a + 3; x = b + 13; k = x + 15. If a = 10, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = b + 13 to k, which gives k = b + 28.\n2. Substitute b = p + 12 to k, which gives k = p + 40.\n3. Substitute p = q + 17 to k, which gives k = q + 57.\n4. Substitute q = i + 2 to k, which gives k = i + 59.\n5. Substitute i = a + 3 to k, which gives k = a + 62.\n6. Substitute a = 10 to k, which gives k = 72.\n\nThus, the final answer is k = \\boxed{72}.",
"index": 9041,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = 10; e = f + 3; n = e + 5; h = a + 3; f = h + 9; b = p + 12; p = q + 17; u = n + 19; q = i + 2; r = u + 11; i = a + 3; x = b + 13; k = x + 15. If a = 10, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"o": "j + 2", "m": "o + 13", "h": "m + 18", "l": "h + 15", "g": "l + 17", "s": "g + 14", "q": "j + 11", "a": "q + 19", "c": "a + 11", "x": "c + 14", "e": "x + 3", "b": "e + 18", "j": 3}, "premises": {"j": 3}, "target": "s"}, "answer": {"steps": [["g", "l + 17", "l + 31"], ["l", "h + 15", "h + 46"], ["h", "m + 18", "m + 64"], ["m", "o + 13", "o + 77"], ["o", "j + 2", "j + 79"], ["j", 3, "82"]], "target_var_name": "s", "target_value": 82, "value_dict": {"j": 3}, "is_reverse": true}} | 9,042 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = 3; s = g + 14; h = m + 18; l = h + 15; o = j + 2; a = q + 19; q = j + 11; b = e + 18; g = l + 17; e = x + 3; x = c + 14; c = a + 11; m = o + 13. Given that j = 3, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = l + 17 to s, which gives s = l + 31.\n2. Substitute l = h + 15 to s, which gives s = h + 46.\n3. Substitute h = m + 18 to s, which gives s = m + 64.\n4. Substitute m = o + 13 to s, which gives s = o + 77.\n5. Substitute o = j + 2 to s, which gives s = j + 79.\n6. Substitute j = 3 to s, which gives s = 82.\n\nThus, the final answer is s = \\boxed{82}.",
"index": 9042,
"question": "Suppose a collection of variables is related by the following definitions: j = 3; s = g + 14; h = m + 18; l = h + 15; o = j + 2; a = q + 19; q = j + 11; b = e + 18; g = l + 17; e = x + 3; x = c + 14; c = a + 11; m = o + 13. Given that j = 3, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"k": "p + 7", "x": "k + 13", "q": "x + 9", "c": "q + 2", "n": "c + 12", "w": "n + 15", "z": "p + 4", "h": "z + 13", "m": "h + 10", "s": "m + 19", "f": "s + 1", "l": "f + 5", "p": 10}, "premises": {"p": 10}, "target": "w"}, "answer": {"steps": [["n", "c + 12", "c + 27"], ["c", "q + 2", "q + 29"], ["q", "x + 9", "x + 38"], ["x", "k + 13", "k + 51"], ["k", "p + 7", "p + 58"], ["p", 10, "68"]], "target_var_name": "w", "target_value": 68, "value_dict": {"p": 10}, "is_reverse": true}} | 9,043 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = m + 19; m = h + 10; q = x + 9; n = c + 12; k = p + 7; c = q + 2; f = s + 1; h = z + 13; x = k + 13; w = n + 15; z = p + 4; l = f + 5; p = 10. Given that p = 10, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = c + 12 to w, which gives w = c + 27.\n2. Substitute c = q + 2 to w, which gives w = q + 29.\n3. Substitute q = x + 9 to w, which gives w = x + 38.\n4. Substitute x = k + 13 to w, which gives w = k + 51.\n5. Substitute k = p + 7 to w, which gives w = p + 58.\n6. Substitute p = 10 to w, which gives w = 68.\n\nThus, the final answer is w = \\boxed{68}.",
"index": 9043,
"question": "Suppose a collection of variables is related by the following definitions: s = m + 19; m = h + 10; q = x + 9; n = c + 12; k = p + 7; c = q + 2; f = s + 1; h = z + 13; x = k + 13; w = n + 15; z = p + 4; l = f + 5; p = 10. Given that p = 10, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"u": "g + 10", "e": "u + 20", "a": "e + 3", "t": "a + 12", "o": "t + 12", "h": "o + 8", "i": "g + 7", "k": "i + 8", "z": "k + 6", "y": "z + 6", "x": "y + 6", "p": "x + 3", "g": 9}, "premises": {"g": 9}, "target": "h"}, "answer": {"steps": [["o", "t + 12", "t + 20"], ["t", "a + 12", "a + 32"], ["a", "e + 3", "e + 35"], ["e", "u + 20", "u + 55"], ["u", "g + 10", "g + 65"], ["g", 9, "74"]], "target_var_name": "h", "target_value": 74, "value_dict": {"g": 9}, "is_reverse": true}} | 9,044 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = y + 6; u = g + 10; p = x + 3; h = o + 8; y = z + 6; k = i + 8; z = k + 6; e = u + 20; i = g + 7; a = e + 3; o = t + 12; t = a + 12; g = 9. Given that g = 9, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = t + 12 to h, which gives h = t + 20.\n2. Substitute t = a + 12 to h, which gives h = a + 32.\n3. Substitute a = e + 3 to h, which gives h = e + 35.\n4. Substitute e = u + 20 to h, which gives h = u + 55.\n5. Substitute u = g + 10 to h, which gives h = g + 65.\n6. Substitute g = 9 to h, which gives h = 74.\n\nThus, the final answer is h = \\boxed{74}.",
"index": 9044,
"question": "Suppose a collection of variables is related by the following definitions: x = y + 6; u = g + 10; p = x + 3; h = o + 8; y = z + 6; k = i + 8; z = k + 6; e = u + 20; i = g + 7; a = e + 3; o = t + 12; t = a + 12; g = 9. Given that g = 9, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"o": "e + 13", "t": "o + 9", "d": "t + 8", "u": "d + 9", "r": "u + 6", "m": "r + 8", "s": "e + 5", "l": "s + 10", "w": "l + 3", "h": "w + 20", "y": "h + 14", "c": "y + 13", "e": 13}, "premises": {"e": 13}, "target": "m"}, "answer": {"steps": [["r", "u + 6", "u + 14"], ["u", "d + 9", "d + 23"], ["d", "t + 8", "t + 31"], ["t", "o + 9", "o + 40"], ["o", "e + 13", "e + 53"], ["e", 13, "66"]], "target_var_name": "m", "target_value": 66, "value_dict": {"e": 13}, "is_reverse": true}} | 9,045 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = t + 8; e = 13; h = w + 20; s = e + 5; o = e + 13; m = r + 8; y = h + 14; t = o + 9; u = d + 9; w = l + 3; r = u + 6; l = s + 10; c = y + 13. If e = 13, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = u + 6 to m, which gives m = u + 14.\n2. Substitute u = d + 9 to m, which gives m = d + 23.\n3. Substitute d = t + 8 to m, which gives m = t + 31.\n4. Substitute t = o + 9 to m, which gives m = o + 40.\n5. Substitute o = e + 13 to m, which gives m = e + 53.\n6. Substitute e = 13 to m, which gives m = 66.\n\nThus, the final answer is m = \\boxed{66}.",
"index": 9045,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = t + 8; e = 13; h = w + 20; s = e + 5; o = e + 13; m = r + 8; y = h + 14; t = o + 9; u = d + 9; w = l + 3; r = u + 6; l = s + 10; c = y + 13. If e = 13, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"h": "l + 7", "o": "h + 15", "c": "o + 17", "w": "c + 20", "a": "w + 10", "d": "a + 12", "u": "l + 19", "f": "u + 2", "j": "f + 9", "r": "j + 15", "k": "r + 8", "m": "k + 3", "l": 1}, "premises": {"l": 1}, "target": "d"}, "answer": {"steps": [["a", "w + 10", "w + 22"], ["w", "c + 20", "c + 42"], ["c", "o + 17", "o + 59"], ["o", "h + 15", "h + 74"], ["h", "l + 7", "l + 81"], ["l", 1, "82"]], "target_var_name": "d", "target_value": 82, "value_dict": {"l": 1}, "is_reverse": true}} | 9,046 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = l + 7; d = a + 12; r = j + 15; j = f + 9; f = u + 2; a = w + 10; m = k + 3; w = c + 20; k = r + 8; o = h + 15; u = l + 19; l = 1; c = o + 17. Given that l = 1, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = w + 10 to d, which gives d = w + 22.\n2. Substitute w = c + 20 to d, which gives d = c + 42.\n3. Substitute c = o + 17 to d, which gives d = o + 59.\n4. Substitute o = h + 15 to d, which gives d = h + 74.\n5. Substitute h = l + 7 to d, which gives d = l + 81.\n6. Substitute l = 1 to d, which gives d = 82.\n\nThus, the final answer is d = \\boxed{82}.",
"index": 9046,
"question": "Suppose a collection of variables is related by the following definitions: h = l + 7; d = a + 12; r = j + 15; j = f + 9; f = u + 2; a = w + 10; m = k + 3; w = c + 20; k = r + 8; o = h + 15; u = l + 19; l = 1; c = o + 17. Given that l = 1, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"u": "g + 18", "b": "u + 6", "m": "b + 15", "c": "m + 10", "z": "c + 19", "w": "z + 5", "q": "g + 4", "i": "q + 8", "a": "i + 9", "t": "a + 16", "n": "t + 19", "f": "n + 1", "g": 2}, "premises": {"g": 2}, "target": "w"}, "answer": {"steps": [["z", "c + 19", "c + 24"], ["c", "m + 10", "m + 34"], ["m", "b + 15", "b + 49"], ["b", "u + 6", "u + 55"], ["u", "g + 18", "g + 73"], ["g", 2, "75"]], "target_var_name": "w", "target_value": 75, "value_dict": {"g": 2}, "is_reverse": true}} | 9,047 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = b + 15; i = q + 8; g = 2; n = t + 19; q = g + 4; w = z + 5; c = m + 10; b = u + 6; u = g + 18; f = n + 1; z = c + 19; t = a + 16; a = i + 9. If g = 2, what is the resulting 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 z = c + 19 to w, which gives w = c + 24.\n2. Substitute c = m + 10 to w, which gives w = m + 34.\n3. Substitute m = b + 15 to w, which gives w = b + 49.\n4. Substitute b = u + 6 to w, which gives w = u + 55.\n5. Substitute u = g + 18 to w, which gives w = g + 73.\n6. Substitute g = 2 to w, which gives w = 75.\n\nThus, the final answer is w = \\boxed{75}.",
"index": 9047,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = b + 15; i = q + 8; g = 2; n = t + 19; q = g + 4; w = z + 5; c = m + 10; b = u + 6; u = g + 18; f = n + 1; z = c + 19; t = a + 16; a = i + 9. If g = 2, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"w": "q + 12", "e": "w + 19", "l": "e + 20", "m": "l + 3", "n": "m + 6", "b": "n + 13", "c": "q + 13", "a": "c + 9", "z": "a + 4", "x": "z + 10", "k": "x + 15", "f": "k + 7", "q": 2}, "premises": {"q": 2}, "target": "b"}, "answer": {"steps": [["n", "m + 6", "m + 19"], ["m", "l + 3", "l + 22"], ["l", "e + 20", "e + 42"], ["e", "w + 19", "w + 61"], ["w", "q + 12", "q + 73"], ["q", 2, "75"]], "target_var_name": "b", "target_value": 75, "value_dict": {"q": 2}, "is_reverse": true}} | 9,048 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = l + 3; n = m + 6; a = c + 9; f = k + 7; e = w + 19; w = q + 12; c = q + 13; q = 2; b = n + 13; x = z + 10; z = a + 4; l = e + 20; k = x + 15. If q = 2, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = m + 6 to b, which gives b = m + 19.\n2. Substitute m = l + 3 to b, which gives b = l + 22.\n3. Substitute l = e + 20 to b, which gives b = e + 42.\n4. Substitute e = w + 19 to b, which gives b = w + 61.\n5. Substitute w = q + 12 to b, which gives b = q + 73.\n6. Substitute q = 2 to b, which gives b = 75.\n\nThus, the final answer is b = \\boxed{75}.",
"index": 9048,
"question": "Consider a system of variables where each variable is defined as follows: m = l + 3; n = m + 6; a = c + 9; f = k + 7; e = w + 19; w = q + 12; c = q + 13; q = 2; b = n + 13; x = z + 10; z = a + 4; l = e + 20; k = x + 15. If q = 2, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"x": "j + 15", "t": "x + 14", "m": "t + 2", "s": "m + 1", "f": "s + 12", "q": "f + 5", "v": "j + 9", "h": "v + 3", "o": "h + 10", "n": "o + 16", "a": "n + 2", "u": "a + 5", "j": 1}, "premises": {"j": 1}, "target": "q"}, "answer": {"steps": [["f", "s + 12", "s + 17"], ["s", "m + 1", "m + 18"], ["m", "t + 2", "t + 20"], ["t", "x + 14", "x + 34"], ["x", "j + 15", "j + 49"], ["j", 1, "50"]], "target_var_name": "q", "target_value": 50, "value_dict": {"j": 1}, "is_reverse": true}} | 9,049 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = s + 12; q = f + 5; t = x + 14; j = 1; m = t + 2; x = j + 15; n = o + 16; h = v + 3; o = h + 10; u = a + 5; a = n + 2; v = j + 9; s = m + 1. If j = 1, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = s + 12 to q, which gives q = s + 17.\n2. Substitute s = m + 1 to q, which gives q = m + 18.\n3. Substitute m = t + 2 to q, which gives q = t + 20.\n4. Substitute t = x + 14 to q, which gives q = x + 34.\n5. Substitute x = j + 15 to q, which gives q = j + 49.\n6. Substitute j = 1 to q, which gives q = 50.\n\nThus, the final answer is q = \\boxed{50}.",
"index": 9049,
"question": "Consider a system of variables where each variable is defined as follows: f = s + 12; q = f + 5; t = x + 14; j = 1; m = t + 2; x = j + 15; n = o + 16; h = v + 3; o = h + 10; u = a + 5; a = n + 2; v = j + 9; s = m + 1. If j = 1, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"s": "b + 14", "f": "s + 5", "u": "f + 18", "n": "u + 6", "z": "n + 20", "o": "z + 1", "t": "b + 19", "y": "t + 3", "p": "y + 15", "e": "p + 6", "w": "e + 3", "g": "w + 9", "b": 19}, "premises": {"b": 19}, "target": "o"}, "answer": {"steps": [["z", "n + 20", "n + 21"], ["n", "u + 6", "u + 27"], ["u", "f + 18", "f + 45"], ["f", "s + 5", "s + 50"], ["s", "b + 14", "b + 64"], ["b", 19, "83"]], "target_var_name": "o", "target_value": 83, "value_dict": {"b": 19}, "is_reverse": true}} | 9,050 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = n + 20; g = w + 9; b = 19; t = b + 19; o = z + 1; s = b + 14; w = e + 3; y = t + 3; p = y + 15; f = s + 5; e = p + 6; u = f + 18; n = u + 6. Given that b = 19, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = n + 20 to o, which gives o = n + 21.\n2. Substitute n = u + 6 to o, which gives o = u + 27.\n3. Substitute u = f + 18 to o, which gives o = f + 45.\n4. Substitute f = s + 5 to o, which gives o = s + 50.\n5. Substitute s = b + 14 to o, which gives o = b + 64.\n6. Substitute b = 19 to o, which gives o = 83.\n\nThus, the final answer is o = \\boxed{83}.",
"index": 9050,
"question": "Suppose a collection of variables is related by the following definitions: z = n + 20; g = w + 9; b = 19; t = b + 19; o = z + 1; s = b + 14; w = e + 3; y = t + 3; p = y + 15; f = s + 5; e = p + 6; u = f + 18; n = u + 6. Given that b = 19, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"u": "b + 14", "v": "u + 18", "j": "v + 16", "y": "j + 15", "s": "y + 4", "p": "s + 3", "r": "b + 15", "q": "r + 1", "m": "q + 4", "z": "m + 8", "d": "z + 14", "k": "d + 11", "b": 18}, "premises": {"b": 18}, "target": "p"}, "answer": {"steps": [["s", "y + 4", "y + 7"], ["y", "j + 15", "j + 22"], ["j", "v + 16", "v + 38"], ["v", "u + 18", "u + 56"], ["u", "b + 14", "b + 70"], ["b", 18, "88"]], "target_var_name": "p", "target_value": 88, "value_dict": {"b": 18}, "is_reverse": true}} | 9,051 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = z + 14; r = b + 15; y = j + 15; v = u + 18; b = 18; u = b + 14; q = r + 1; s = y + 4; z = m + 8; p = s + 3; j = v + 16; m = q + 4; k = d + 11. If b = 18, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = y + 4 to p, which gives p = y + 7.\n2. Substitute y = j + 15 to p, which gives p = j + 22.\n3. Substitute j = v + 16 to p, which gives p = v + 38.\n4. Substitute v = u + 18 to p, which gives p = u + 56.\n5. Substitute u = b + 14 to p, which gives p = b + 70.\n6. Substitute b = 18 to p, which gives p = 88.\n\nThus, the final answer is p = \\boxed{88}.",
"index": 9051,
"question": "Consider a system of variables where each variable is defined as follows: d = z + 14; r = b + 15; y = j + 15; v = u + 18; b = 18; u = b + 14; q = r + 1; s = y + 4; z = m + 8; p = s + 3; j = v + 16; m = q + 4; k = d + 11. If b = 18, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"b": "k + 6", "w": "b + 8", "o": "w + 16", "n": "o + 5", "i": "n + 15", "l": "i + 16", "t": "k + 18", "m": "t + 17", "v": "m + 7", "s": "v + 17", "a": "s + 6", "d": "a + 1", "k": 16}, "premises": {"k": 16}, "target": "l"}, "answer": {"steps": [["i", "n + 15", "n + 31"], ["n", "o + 5", "o + 36"], ["o", "w + 16", "w + 52"], ["w", "b + 8", "b + 60"], ["b", "k + 6", "k + 66"], ["k", 16, "82"]], "target_var_name": "l", "target_value": 82, "value_dict": {"k": 16}, "is_reverse": true}} | 9,052 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = k + 6; s = v + 17; v = m + 7; i = n + 15; w = b + 8; n = o + 5; k = 16; t = k + 18; d = a + 1; l = i + 16; m = t + 17; o = w + 16; a = s + 6. If k = 16, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = n + 15 to l, which gives l = n + 31.\n2. Substitute n = o + 5 to l, which gives l = o + 36.\n3. Substitute o = w + 16 to l, which gives l = w + 52.\n4. Substitute w = b + 8 to l, which gives l = b + 60.\n5. Substitute b = k + 6 to l, which gives l = k + 66.\n6. Substitute k = 16 to l, which gives l = 82.\n\nThus, the final answer is l = \\boxed{82}.",
"index": 9052,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = k + 6; s = v + 17; v = m + 7; i = n + 15; w = b + 8; n = o + 5; k = 16; t = k + 18; d = a + 1; l = i + 16; m = t + 17; o = w + 16; a = s + 6. If k = 16, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"x": "o + 5", "q": "x + 10", "n": "q + 18", "c": "n + 18", "g": "c + 4", "i": "g + 8", "v": "o + 10", "p": "v + 3", "t": "p + 18", "h": "t + 2", "r": "h + 8", "e": "r + 10", "o": 12}, "premises": {"o": 12}, "target": "i"}, "answer": {"steps": [["g", "c + 4", "c + 12"], ["c", "n + 18", "n + 30"], ["n", "q + 18", "q + 48"], ["q", "x + 10", "x + 58"], ["x", "o + 5", "o + 63"], ["o", 12, "75"]], "target_var_name": "i", "target_value": 75, "value_dict": {"o": 12}, "is_reverse": true}} | 9,053 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = x + 10; v = o + 10; c = n + 18; e = r + 10; g = c + 4; h = t + 2; x = o + 5; p = v + 3; i = g + 8; n = q + 18; o = 12; r = h + 8; t = p + 18. Given that o = 12, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = c + 4 to i, which gives i = c + 12.\n2. Substitute c = n + 18 to i, which gives i = n + 30.\n3. Substitute n = q + 18 to i, which gives i = q + 48.\n4. Substitute q = x + 10 to i, which gives i = x + 58.\n5. Substitute x = o + 5 to i, which gives i = o + 63.\n6. Substitute o = 12 to i, which gives i = 75.\n\nThus, the final answer is i = \\boxed{75}.",
"index": 9053,
"question": "Suppose a collection of variables is related by the following definitions: q = x + 10; v = o + 10; c = n + 18; e = r + 10; g = c + 4; h = t + 2; x = o + 5; p = v + 3; i = g + 8; n = q + 18; o = 12; r = h + 8; t = p + 18. Given that o = 12, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"v": "p + 11", "u": "v + 10", "t": "u + 18", "k": "t + 19", "h": "k + 8", "d": "h + 17", "z": "p + 1", "l": "z + 8", "m": "l + 9", "a": "m + 19", "i": "a + 8", "q": "i + 15", "p": 4}, "premises": {"p": 4}, "target": "d"}, "answer": {"steps": [["h", "k + 8", "k + 25"], ["k", "t + 19", "t + 44"], ["t", "u + 18", "u + 62"], ["u", "v + 10", "v + 72"], ["v", "p + 11", "p + 83"], ["p", 4, "87"]], "target_var_name": "d", "target_value": 87, "value_dict": {"p": 4}, "is_reverse": true}} | 9,054 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = k + 8; q = i + 15; k = t + 19; m = l + 9; p = 4; d = h + 17; v = p + 11; a = m + 19; i = a + 8; u = v + 10; t = u + 18; l = z + 8; z = p + 1. Given that p = 4, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = k + 8 to d, which gives d = k + 25.\n2. Substitute k = t + 19 to d, which gives d = t + 44.\n3. Substitute t = u + 18 to d, which gives d = u + 62.\n4. Substitute u = v + 10 to d, which gives d = v + 72.\n5. Substitute v = p + 11 to d, which gives d = p + 83.\n6. Substitute p = 4 to d, which gives d = 87.\n\nThus, the final answer is d = \\boxed{87}.",
"index": 9054,
"question": "Suppose a collection of variables is related by the following definitions: h = k + 8; q = i + 15; k = t + 19; m = l + 9; p = 4; d = h + 17; v = p + 11; a = m + 19; i = a + 8; u = v + 10; t = u + 18; l = z + 8; z = p + 1. Given that p = 4, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"c": "m + 9", "r": "c + 14", "p": "r + 9", "i": "p + 5", "u": "i + 3", "j": "u + 15", "e": "m + 18", "d": "e + 20", "q": "d + 13", "a": "q + 11", "b": "a + 5", "s": "b + 8", "m": 1}, "premises": {"m": 1}, "target": "j"}, "answer": {"steps": [["u", "i + 3", "i + 18"], ["i", "p + 5", "p + 23"], ["p", "r + 9", "r + 32"], ["r", "c + 14", "c + 46"], ["c", "m + 9", "m + 55"], ["m", 1, "56"]], "target_var_name": "j", "target_value": 56, "value_dict": {"m": 1}, "is_reverse": true}} | 9,055 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = u + 15; d = e + 20; p = r + 9; u = i + 3; a = q + 11; b = a + 5; c = m + 9; e = m + 18; s = b + 8; q = d + 13; r = c + 14; i = p + 5; m = 1. If m = 1, 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 u = i + 3 to j, which gives j = i + 18.\n2. Substitute i = p + 5 to j, which gives j = p + 23.\n3. Substitute p = r + 9 to j, which gives j = r + 32.\n4. Substitute r = c + 14 to j, which gives j = c + 46.\n5. Substitute c = m + 9 to j, which gives j = m + 55.\n6. Substitute m = 1 to j, which gives j = 56.\n\nThus, the final answer is j = \\boxed{56}.",
"index": 9055,
"question": "Consider a system of variables where each variable is defined as follows: j = u + 15; d = e + 20; p = r + 9; u = i + 3; a = q + 11; b = a + 5; c = m + 9; e = m + 18; s = b + 8; q = d + 13; r = c + 14; i = p + 5; m = 1. If m = 1, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"f": "k + 11", "d": "f + 6", "x": "d + 5", "w": "x + 15", "z": "w + 11", "y": "z + 1", "c": "k + 20", "l": "c + 4", "s": "l + 2", "b": "s + 19", "r": "b + 10", "j": "r + 6", "k": 8}, "premises": {"k": 8}, "target": "y"}, "answer": {"steps": [["z", "w + 11", "w + 12"], ["w", "x + 15", "x + 27"], ["x", "d + 5", "d + 32"], ["d", "f + 6", "f + 38"], ["f", "k + 11", "k + 49"], ["k", 8, "57"]], "target_var_name": "y", "target_value": 57, "value_dict": {"k": 8}, "is_reverse": true}} | 9,056 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = w + 11; w = x + 15; d = f + 6; f = k + 11; r = b + 10; l = c + 4; b = s + 19; c = k + 20; k = 8; y = z + 1; j = r + 6; x = d + 5; s = l + 2. If k = 8, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = w + 11 to y, which gives y = w + 12.\n2. Substitute w = x + 15 to y, which gives y = x + 27.\n3. Substitute x = d + 5 to y, which gives y = d + 32.\n4. Substitute d = f + 6 to y, which gives y = f + 38.\n5. Substitute f = k + 11 to y, which gives y = k + 49.\n6. Substitute k = 8 to y, which gives y = 57.\n\nThus, the final answer is y = \\boxed{57}.",
"index": 9056,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = w + 11; w = x + 15; d = f + 6; f = k + 11; r = b + 10; l = c + 4; b = s + 19; c = k + 20; k = 8; y = z + 1; j = r + 6; x = d + 5; s = l + 2. If k = 8, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"m": "f + 4", "t": "m + 6", "l": "t + 12", "c": "l + 13", "i": "c + 13", "y": "i + 14", "e": "f + 7", "h": "e + 18", "b": "h + 16", "z": "b + 2", "g": "z + 14", "p": "g + 13", "f": 1}, "premises": {"f": 1}, "target": "y"}, "answer": {"steps": [["i", "c + 13", "c + 27"], ["c", "l + 13", "l + 40"], ["l", "t + 12", "t + 52"], ["t", "m + 6", "m + 58"], ["m", "f + 4", "f + 62"], ["f", 1, "63"]], "target_var_name": "y", "target_value": 63, "value_dict": {"f": 1}, "is_reverse": true}} | 9,057 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = g + 13; b = h + 16; h = e + 18; i = c + 13; f = 1; z = b + 2; l = t + 12; e = f + 7; c = l + 13; y = i + 14; m = f + 4; g = z + 14; t = m + 6. Given that f = 1, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = c + 13 to y, which gives y = c + 27.\n2. Substitute c = l + 13 to y, which gives y = l + 40.\n3. Substitute l = t + 12 to y, which gives y = t + 52.\n4. Substitute t = m + 6 to y, which gives y = m + 58.\n5. Substitute m = f + 4 to y, which gives y = f + 62.\n6. Substitute f = 1 to y, which gives y = 63.\n\nThus, the final answer is y = \\boxed{63}.",
"index": 9057,
"question": "Suppose a collection of variables is related by the following definitions: p = g + 13; b = h + 16; h = e + 18; i = c + 13; f = 1; z = b + 2; l = t + 12; e = f + 7; c = l + 13; y = i + 14; m = f + 4; g = z + 14; t = m + 6. Given that f = 1, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"j": "x + 14", "h": "j + 10", "q": "h + 9", "v": "q + 19", "a": "v + 2", "z": "a + 12", "y": "x + 1", "m": "y + 5", "s": "m + 11", "e": "s + 8", "t": "e + 4", "d": "t + 4", "x": 17}, "premises": {"x": 17}, "target": "z"}, "answer": {"steps": [["a", "v + 2", "v + 14"], ["v", "q + 19", "q + 33"], ["q", "h + 9", "h + 42"], ["h", "j + 10", "j + 52"], ["j", "x + 14", "x + 66"], ["x", 17, "83"]], "target_var_name": "z", "target_value": 83, "value_dict": {"x": 17}, "is_reverse": true}} | 9,058 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = 17; z = a + 12; q = h + 9; v = q + 19; s = m + 11; a = v + 2; d = t + 4; t = e + 4; j = x + 14; h = j + 10; e = s + 8; m = y + 5; y = x + 1. If x = 17, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = v + 2 to z, which gives z = v + 14.\n2. Substitute v = q + 19 to z, which gives z = q + 33.\n3. Substitute q = h + 9 to z, which gives z = h + 42.\n4. Substitute h = j + 10 to z, which gives z = j + 52.\n5. Substitute j = x + 14 to z, which gives z = x + 66.\n6. Substitute x = 17 to z, which gives z = 83.\n\nThus, the final answer is z = \\boxed{83}.",
"index": 9058,
"question": "Consider a system of variables where each variable is defined as follows: x = 17; z = a + 12; q = h + 9; v = q + 19; s = m + 11; a = v + 2; d = t + 4; t = e + 4; j = x + 14; h = j + 10; e = s + 8; m = y + 5; y = x + 1. If x = 17, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"m": "g + 16", "i": "m + 5", "j": "i + 7", "x": "j + 16", "q": "x + 14", "f": "q + 1", "l": "g + 16", "u": "l + 5", "a": "u + 11", "z": "a + 19", "w": "z + 7", "n": "w + 9", "g": 17}, "premises": {"g": 17}, "target": "f"}, "answer": {"steps": [["q", "x + 14", "x + 15"], ["x", "j + 16", "j + 31"], ["j", "i + 7", "i + 38"], ["i", "m + 5", "m + 43"], ["m", "g + 16", "g + 59"], ["g", 17, "76"]], "target_var_name": "f", "target_value": 76, "value_dict": {"g": 17}, "is_reverse": true}} | 9,059 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = i + 7; i = m + 5; g = 17; n = w + 9; f = q + 1; l = g + 16; x = j + 16; u = l + 5; z = a + 19; a = u + 11; w = z + 7; q = x + 14; m = g + 16. If g = 17, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = x + 14 to f, which gives f = x + 15.\n2. Substitute x = j + 16 to f, which gives f = j + 31.\n3. Substitute j = i + 7 to f, which gives f = i + 38.\n4. Substitute i = m + 5 to f, which gives f = m + 43.\n5. Substitute m = g + 16 to f, which gives f = g + 59.\n6. Substitute g = 17 to f, which gives f = 76.\n\nThus, the final answer is f = \\boxed{76}.",
"index": 9059,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = i + 7; i = m + 5; g = 17; n = w + 9; f = q + 1; l = g + 16; x = j + 16; u = l + 5; z = a + 19; a = u + 11; w = z + 7; q = x + 14; m = g + 16. If g = 17, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"w": "r + 11", "d": "w + 2", "j": "d + 5", "q": "j + 8", "z": "q + 1", "v": "z + 3", "t": "r + 1", "e": "t + 6", "u": "e + 1", "o": "u + 10", "k": "o + 14", "n": "k + 10", "r": 5}, "premises": {"r": 5}, "target": "v"}, "answer": {"steps": [["z", "q + 1", "q + 4"], ["q", "j + 8", "j + 12"], ["j", "d + 5", "d + 17"], ["d", "w + 2", "w + 19"], ["w", "r + 11", "r + 30"], ["r", 5, "35"]], "target_var_name": "v", "target_value": 35, "value_dict": {"r": 5}, "is_reverse": true}} | 9,060 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = k + 10; z = q + 1; r = 5; o = u + 10; j = d + 5; v = z + 3; w = r + 11; e = t + 6; u = e + 1; t = r + 1; d = w + 2; q = j + 8; k = o + 14. If r = 5, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 35,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = q + 1 to v, which gives v = q + 4.\n2. Substitute q = j + 8 to v, which gives v = j + 12.\n3. Substitute j = d + 5 to v, which gives v = d + 17.\n4. Substitute d = w + 2 to v, which gives v = w + 19.\n5. Substitute w = r + 11 to v, which gives v = r + 30.\n6. Substitute r = 5 to v, which gives v = 35.\n\nThus, the final answer is v = \\boxed{35}.",
"index": 9060,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = k + 10; z = q + 1; r = 5; o = u + 10; j = d + 5; v = z + 3; w = r + 11; e = t + 6; u = e + 1; t = r + 1; d = w + 2; q = j + 8; k = o + 14. If r = 5, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"r": "e + 19", "v": "r + 4", "g": "v + 8", "t": "g + 13", "k": "t + 9", "c": "k + 16", "l": "e + 17", "a": "l + 14", "x": "a + 11", "o": "x + 6", "b": "o + 10", "i": "b + 11", "e": 16}, "premises": {"e": 16}, "target": "c"}, "answer": {"steps": [["k", "t + 9", "t + 25"], ["t", "g + 13", "g + 38"], ["g", "v + 8", "v + 46"], ["v", "r + 4", "r + 50"], ["r", "e + 19", "e + 69"], ["e", 16, "85"]], "target_var_name": "c", "target_value": 85, "value_dict": {"e": 16}, "is_reverse": true}} | 9,061 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = a + 11; b = o + 10; l = e + 17; g = v + 8; e = 16; a = l + 14; r = e + 19; o = x + 6; c = k + 16; i = b + 11; v = r + 4; t = g + 13; k = t + 9. If e = 16, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = t + 9 to c, which gives c = t + 25.\n2. Substitute t = g + 13 to c, which gives c = g + 38.\n3. Substitute g = v + 8 to c, which gives c = v + 46.\n4. Substitute v = r + 4 to c, which gives c = r + 50.\n5. Substitute r = e + 19 to c, which gives c = e + 69.\n6. Substitute e = 16 to c, which gives c = 85.\n\nThus, the final answer is c = \\boxed{85}.",
"index": 9061,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = a + 11; b = o + 10; l = e + 17; g = v + 8; e = 16; a = l + 14; r = e + 19; o = x + 6; c = k + 16; i = b + 11; v = r + 4; t = g + 13; k = t + 9. If e = 16, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"v": "f + 5", "a": "v + 18", "g": "a + 8", "m": "g + 12", "h": "m + 13", "w": "h + 8", "r": "f + 6", "j": "r + 20", "c": "j + 5", "z": "c + 6", "d": "z + 1", "l": "d + 6", "f": 10}, "premises": {"f": 10}, "target": "w"}, "answer": {"steps": [["h", "m + 13", "m + 21"], ["m", "g + 12", "g + 33"], ["g", "a + 8", "a + 41"], ["a", "v + 18", "v + 59"], ["v", "f + 5", "f + 64"], ["f", 10, "74"]], "target_var_name": "w", "target_value": 74, "value_dict": {"f": 10}, "is_reverse": true}} | 9,062 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = f + 6; v = f + 5; z = c + 6; m = g + 12; a = v + 18; c = j + 5; w = h + 8; j = r + 20; g = a + 8; d = z + 1; h = m + 13; f = 10; l = d + 6. If f = 10, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = m + 13 to w, which gives w = m + 21.\n2. Substitute m = g + 12 to w, which gives w = g + 33.\n3. Substitute g = a + 8 to w, which gives w = a + 41.\n4. Substitute a = v + 18 to w, which gives w = v + 59.\n5. Substitute v = f + 5 to w, which gives w = f + 64.\n6. Substitute f = 10 to w, which gives w = 74.\n\nThus, the final answer is w = \\boxed{74}.",
"index": 9062,
"question": "Consider a system of variables where each variable is defined as follows: r = f + 6; v = f + 5; z = c + 6; m = g + 12; a = v + 18; c = j + 5; w = h + 8; j = r + 20; g = a + 8; d = z + 1; h = m + 13; f = 10; l = d + 6. If f = 10, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"l": "k + 6", "s": "l + 4", "t": "s + 11", "e": "t + 3", "j": "e + 19", "c": "j + 14", "z": "k + 8", "b": "z + 13", "w": "b + 7", "g": "w + 13", "n": "g + 10", "q": "n + 15", "k": 17}, "premises": {"k": 17}, "target": "c"}, "answer": {"steps": [["j", "e + 19", "e + 33"], ["e", "t + 3", "t + 36"], ["t", "s + 11", "s + 47"], ["s", "l + 4", "l + 51"], ["l", "k + 6", "k + 57"], ["k", 17, "74"]], "target_var_name": "c", "target_value": 74, "value_dict": {"k": 17}, "is_reverse": true}} | 9,063 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = t + 3; g = w + 13; z = k + 8; c = j + 14; l = k + 6; n = g + 10; j = e + 19; q = n + 15; t = s + 11; w = b + 7; b = z + 13; k = 17; s = l + 4. If k = 17, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = e + 19 to c, which gives c = e + 33.\n2. Substitute e = t + 3 to c, which gives c = t + 36.\n3. Substitute t = s + 11 to c, which gives c = s + 47.\n4. Substitute s = l + 4 to c, which gives c = l + 51.\n5. Substitute l = k + 6 to c, which gives c = k + 57.\n6. Substitute k = 17 to c, which gives c = 74.\n\nThus, the final answer is c = \\boxed{74}.",
"index": 9063,
"question": "Consider a system of variables where each variable is defined as follows: e = t + 3; g = w + 13; z = k + 8; c = j + 14; l = k + 6; n = g + 10; j = e + 19; q = n + 15; t = s + 11; w = b + 7; b = z + 13; k = 17; s = l + 4. If k = 17, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"t": "k + 15", "d": "t + 19", "a": "d + 20", "i": "a + 16", "f": "i + 3", "g": "f + 6", "x": "k + 10", "e": "x + 2", "m": "e + 20", "s": "m + 4", "q": "s + 16", "y": "q + 14", "k": 4}, "premises": {"k": 4}, "target": "g"}, "answer": {"steps": [["f", "i + 3", "i + 9"], ["i", "a + 16", "a + 25"], ["a", "d + 20", "d + 45"], ["d", "t + 19", "t + 64"], ["t", "k + 15", "k + 79"], ["k", 4, "83"]], "target_var_name": "g", "target_value": 83, "value_dict": {"k": 4}, "is_reverse": true}} | 9,064 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = i + 3; e = x + 2; i = a + 16; q = s + 16; y = q + 14; k = 4; d = t + 19; s = m + 4; g = f + 6; a = d + 20; x = k + 10; m = e + 20; t = k + 15. Given that k = 4, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = i + 3 to g, which gives g = i + 9.\n2. Substitute i = a + 16 to g, which gives g = a + 25.\n3. Substitute a = d + 20 to g, which gives g = d + 45.\n4. Substitute d = t + 19 to g, which gives g = t + 64.\n5. Substitute t = k + 15 to g, which gives g = k + 79.\n6. Substitute k = 4 to g, which gives g = 83.\n\nThus, the final answer is g = \\boxed{83}.",
"index": 9064,
"question": "Suppose a collection of variables is related by the following definitions: f = i + 3; e = x + 2; i = a + 16; q = s + 16; y = q + 14; k = 4; d = t + 19; s = m + 4; g = f + 6; a = d + 20; x = k + 10; m = e + 20; t = k + 15. Given that k = 4, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"h": "a + 1", "w": "h + 5", "k": "w + 17", "l": "k + 1", "c": "l + 11", "g": "c + 13", "b": "a + 9", "o": "b + 4", "v": "o + 18", "p": "v + 11", "q": "p + 15", "n": "q + 11", "a": 10}, "premises": {"a": 10}, "target": "g"}, "answer": {"steps": [["c", "l + 11", "l + 24"], ["l", "k + 1", "k + 25"], ["k", "w + 17", "w + 42"], ["w", "h + 5", "h + 47"], ["h", "a + 1", "a + 48"], ["a", 10, "58"]], "target_var_name": "g", "target_value": 58, "value_dict": {"a": 10}, "is_reverse": true}} | 9,065 | 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 = w + 17; w = h + 5; l = k + 1; v = o + 18; h = a + 1; b = a + 9; a = 10; q = p + 15; g = c + 13; n = q + 11; o = b + 4; c = l + 11; p = v + 11. If a = 10, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = l + 11 to g, which gives g = l + 24.\n2. Substitute l = k + 1 to g, which gives g = k + 25.\n3. Substitute k = w + 17 to g, which gives g = w + 42.\n4. Substitute w = h + 5 to g, which gives g = h + 47.\n5. Substitute h = a + 1 to g, which gives g = a + 48.\n6. Substitute a = 10 to g, which gives g = 58.\n\nThus, the final answer is g = \\boxed{58}.",
"index": 9065,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = w + 17; w = h + 5; l = k + 1; v = o + 18; h = a + 1; b = a + 9; a = 10; q = p + 15; g = c + 13; n = q + 11; o = b + 4; c = l + 11; p = v + 11. If a = 10, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"y": "j + 9", "p": "y + 13", "u": "p + 11", "a": "u + 1", "f": "a + 10", "h": "f + 3", "s": "j + 14", "e": "s + 1", "b": "e + 16", "m": "b + 3", "x": "m + 18", "i": "x + 19", "j": 19}, "premises": {"j": 19}, "target": "h"}, "answer": {"steps": [["f", "a + 10", "a + 13"], ["a", "u + 1", "u + 14"], ["u", "p + 11", "p + 25"], ["p", "y + 13", "y + 38"], ["y", "j + 9", "j + 47"], ["j", 19, "66"]], "target_var_name": "h", "target_value": 66, "value_dict": {"j": 19}, "is_reverse": true}} | 9,066 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = p + 11; p = y + 13; h = f + 3; f = a + 10; a = u + 1; b = e + 16; x = m + 18; m = b + 3; i = x + 19; j = 19; e = s + 1; y = j + 9; s = j + 14. If j = 19, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = a + 10 to h, which gives h = a + 13.\n2. Substitute a = u + 1 to h, which gives h = u + 14.\n3. Substitute u = p + 11 to h, which gives h = p + 25.\n4. Substitute p = y + 13 to h, which gives h = y + 38.\n5. Substitute y = j + 9 to h, which gives h = j + 47.\n6. Substitute j = 19 to h, which gives h = 66.\n\nThus, the final answer is h = \\boxed{66}.",
"index": 9066,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = p + 11; p = y + 13; h = f + 3; f = a + 10; a = u + 1; b = e + 16; x = m + 18; m = b + 3; i = x + 19; j = 19; e = s + 1; y = j + 9; s = j + 14. If j = 19, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"c": "u + 3", "q": "c + 17", "a": "q + 10", "i": "a + 19", "x": "i + 17", "m": "x + 12", "z": "u + 5", "b": "z + 14", "f": "b + 15", "g": "f + 14", "t": "g + 7", "o": "t + 14", "u": 16}, "premises": {"u": 16}, "target": "m"}, "answer": {"steps": [["x", "i + 17", "i + 29"], ["i", "a + 19", "a + 48"], ["a", "q + 10", "q + 58"], ["q", "c + 17", "c + 75"], ["c", "u + 3", "u + 78"], ["u", 16, "94"]], "target_var_name": "m", "target_value": 94, "value_dict": {"u": 16}, "is_reverse": true}} | 9,067 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = x + 12; g = f + 14; t = g + 7; b = z + 14; q = c + 17; u = 16; x = i + 17; i = a + 19; z = u + 5; f = b + 15; o = t + 14; a = q + 10; c = u + 3. If u = 16, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = i + 17 to m, which gives m = i + 29.\n2. Substitute i = a + 19 to m, which gives m = a + 48.\n3. Substitute a = q + 10 to m, which gives m = q + 58.\n4. Substitute q = c + 17 to m, which gives m = c + 75.\n5. Substitute c = u + 3 to m, which gives m = u + 78.\n6. Substitute u = 16 to m, which gives m = 94.\n\nThus, the final answer is m = \\boxed{94}.",
"index": 9067,
"question": "Consider a system of variables where each variable is defined as follows: m = x + 12; g = f + 14; t = g + 7; b = z + 14; q = c + 17; u = 16; x = i + 17; i = a + 19; z = u + 5; f = b + 15; o = t + 14; a = q + 10; c = u + 3. If u = 16, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"v": "m + 1", "f": "v + 7", "d": "f + 17", "o": "d + 7", "k": "o + 13", "b": "k + 5", "i": "m + 14", "g": "i + 3", "z": "g + 20", "h": "z + 16", "q": "h + 2", "e": "q + 12", "m": 17}, "premises": {"m": 17}, "target": "b"}, "answer": {"steps": [["k", "o + 13", "o + 18"], ["o", "d + 7", "d + 25"], ["d", "f + 17", "f + 42"], ["f", "v + 7", "v + 49"], ["v", "m + 1", "m + 50"], ["m", 17, "67"]], "target_var_name": "b", "target_value": 67, "value_dict": {"m": 17}, "is_reverse": true}} | 9,068 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = i + 3; b = k + 5; e = q + 12; d = f + 17; z = g + 20; f = v + 7; h = z + 16; o = d + 7; k = o + 13; i = m + 14; m = 17; v = m + 1; q = h + 2. If m = 17, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = o + 13 to b, which gives b = o + 18.\n2. Substitute o = d + 7 to b, which gives b = d + 25.\n3. Substitute d = f + 17 to b, which gives b = f + 42.\n4. Substitute f = v + 7 to b, which gives b = v + 49.\n5. Substitute v = m + 1 to b, which gives b = m + 50.\n6. Substitute m = 17 to b, which gives b = 67.\n\nThus, the final answer is b = \\boxed{67}.",
"index": 9068,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = i + 3; b = k + 5; e = q + 12; d = f + 17; z = g + 20; f = v + 7; h = z + 16; o = d + 7; k = o + 13; i = m + 14; m = 17; v = m + 1; q = h + 2. If m = 17, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"k": "y + 3", "f": "k + 14", "p": "f + 10", "r": "p + 2", "d": "r + 19", "z": "d + 12", "o": "y + 9", "g": "o + 8", "q": "g + 2", "u": "q + 1", "e": "u + 17", "m": "e + 7", "y": 7}, "premises": {"y": 7}, "target": "z"}, "answer": {"steps": [["d", "r + 19", "r + 31"], ["r", "p + 2", "p + 33"], ["p", "f + 10", "f + 43"], ["f", "k + 14", "k + 57"], ["k", "y + 3", "y + 60"], ["y", 7, "67"]], "target_var_name": "z", "target_value": 67, "value_dict": {"y": 7}, "is_reverse": true}} | 9,069 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = y + 9; k = y + 3; f = k + 14; z = d + 12; m = e + 7; y = 7; u = q + 1; r = p + 2; p = f + 10; d = r + 19; q = g + 2; g = o + 8; e = u + 17. If y = 7, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = r + 19 to z, which gives z = r + 31.\n2. Substitute r = p + 2 to z, which gives z = p + 33.\n3. Substitute p = f + 10 to z, which gives z = f + 43.\n4. Substitute f = k + 14 to z, which gives z = k + 57.\n5. Substitute k = y + 3 to z, which gives z = y + 60.\n6. Substitute y = 7 to z, which gives z = 67.\n\nThus, the final answer is z = \\boxed{67}.",
"index": 9069,
"question": "Consider a system of variables where each variable is defined as follows: o = y + 9; k = y + 3; f = k + 14; z = d + 12; m = e + 7; y = 7; u = q + 1; r = p + 2; p = f + 10; d = r + 19; q = g + 2; g = o + 8; e = u + 17. If y = 7, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"e": "h + 5", "y": "e + 17", "j": "y + 18", "i": "j + 19", "t": "i + 5", "v": "t + 20", "g": "h + 17", "r": "g + 18", "o": "r + 5", "x": "o + 2", "q": "x + 18", "p": "q + 13", "h": 14}, "premises": {"h": 14}, "target": "v"}, "answer": {"steps": [["t", "i + 5", "i + 25"], ["i", "j + 19", "j + 44"], ["j", "y + 18", "y + 62"], ["y", "e + 17", "e + 79"], ["e", "h + 5", "h + 84"], ["h", 14, "98"]], "target_var_name": "v", "target_value": 98, "value_dict": {"h": 14}, "is_reverse": true}} | 9,070 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = h + 5; y = e + 17; j = y + 18; t = i + 5; h = 14; x = o + 2; v = t + 20; g = h + 17; o = r + 5; i = j + 19; q = x + 18; p = q + 13; r = g + 18. Given that h = 14, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = i + 5 to v, which gives v = i + 25.\n2. Substitute i = j + 19 to v, which gives v = j + 44.\n3. Substitute j = y + 18 to v, which gives v = y + 62.\n4. Substitute y = e + 17 to v, which gives v = e + 79.\n5. Substitute e = h + 5 to v, which gives v = h + 84.\n6. Substitute h = 14 to v, which gives v = 98.\n\nThus, the final answer is v = \\boxed{98}.",
"index": 9070,
"question": "Suppose a collection of variables is related by the following definitions: e = h + 5; y = e + 17; j = y + 18; t = i + 5; h = 14; x = o + 2; v = t + 20; g = h + 17; o = r + 5; i = j + 19; q = x + 18; p = q + 13; r = g + 18. Given that h = 14, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"l": "f + 4", "e": "l + 6", "s": "e + 11", "u": "s + 19", "j": "u + 10", "h": "j + 8", "b": "f + 11", "q": "b + 12", "w": "q + 16", "i": "w + 12", "a": "i + 5", "k": "a + 9", "f": 20}, "premises": {"f": 20}, "target": "h"}, "answer": {"steps": [["j", "u + 10", "u + 18"], ["u", "s + 19", "s + 37"], ["s", "e + 11", "e + 48"], ["e", "l + 6", "l + 54"], ["l", "f + 4", "f + 58"], ["f", 20, "78"]], "target_var_name": "h", "target_value": 78, "value_dict": {"f": 20}, "is_reverse": true}} | 9,071 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = s + 19; k = a + 9; e = l + 6; a = i + 5; w = q + 16; b = f + 11; q = b + 12; j = u + 10; f = 20; s = e + 11; l = f + 4; i = w + 12; h = j + 8. If f = 20, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = u + 10 to h, which gives h = u + 18.\n2. Substitute u = s + 19 to h, which gives h = s + 37.\n3. Substitute s = e + 11 to h, which gives h = e + 48.\n4. Substitute e = l + 6 to h, which gives h = l + 54.\n5. Substitute l = f + 4 to h, which gives h = f + 58.\n6. Substitute f = 20 to h, which gives h = 78.\n\nThus, the final answer is h = \\boxed{78}.",
"index": 9071,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = s + 19; k = a + 9; e = l + 6; a = i + 5; w = q + 16; b = f + 11; q = b + 12; j = u + 10; f = 20; s = e + 11; l = f + 4; i = w + 12; h = j + 8. If f = 20, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"h": "r + 7", "o": "h + 20", "i": "o + 15", "e": "i + 16", "v": "e + 19", "s": "v + 2", "b": "r + 4", "c": "b + 3", "d": "c + 7", "l": "d + 12", "n": "l + 3", "x": "n + 6", "r": 10}, "premises": {"r": 10}, "target": "s"}, "answer": {"steps": [["v", "e + 19", "e + 21"], ["e", "i + 16", "i + 37"], ["i", "o + 15", "o + 52"], ["o", "h + 20", "h + 72"], ["h", "r + 7", "r + 79"], ["r", 10, "89"]], "target_var_name": "s", "target_value": 89, "value_dict": {"r": 10}, "is_reverse": true}} | 9,072 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = h + 20; i = o + 15; b = r + 4; h = r + 7; r = 10; s = v + 2; x = n + 6; v = e + 19; d = c + 7; l = d + 12; e = i + 16; n = l + 3; c = b + 3. Given that r = 10, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = e + 19 to s, which gives s = e + 21.\n2. Substitute e = i + 16 to s, which gives s = i + 37.\n3. Substitute i = o + 15 to s, which gives s = o + 52.\n4. Substitute o = h + 20 to s, which gives s = h + 72.\n5. Substitute h = r + 7 to s, which gives s = r + 79.\n6. Substitute r = 10 to s, which gives s = 89.\n\nThus, the final answer is s = \\boxed{89}.",
"index": 9072,
"question": "Suppose a collection of variables is related by the following definitions: o = h + 20; i = o + 15; b = r + 4; h = r + 7; r = 10; s = v + 2; x = n + 6; v = e + 19; d = c + 7; l = d + 12; e = i + 16; n = l + 3; c = b + 3. Given that r = 10, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"u": "w + 17", "m": "u + 16", "n": "m + 19", "t": "n + 6", "g": "t + 4", "s": "g + 15", "c": "w + 12", "i": "c + 9", "d": "i + 11", "r": "d + 19", "p": "r + 20", "z": "p + 8", "w": 2}, "premises": {"w": 2}, "target": "s"}, "answer": {"steps": [["g", "t + 4", "t + 19"], ["t", "n + 6", "n + 25"], ["n", "m + 19", "m + 44"], ["m", "u + 16", "u + 60"], ["u", "w + 17", "w + 77"], ["w", 2, "79"]], "target_var_name": "s", "target_value": 79, "value_dict": {"w": 2}, "is_reverse": true}} | 9,073 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = i + 11; r = d + 19; m = u + 16; n = m + 19; w = 2; c = w + 12; g = t + 4; u = w + 17; i = c + 9; t = n + 6; s = g + 15; z = p + 8; p = r + 20. If w = 2, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = t + 4 to s, which gives s = t + 19.\n2. Substitute t = n + 6 to s, which gives s = n + 25.\n3. Substitute n = m + 19 to s, which gives s = m + 44.\n4. Substitute m = u + 16 to s, which gives s = u + 60.\n5. Substitute u = w + 17 to s, which gives s = w + 77.\n6. Substitute w = 2 to s, which gives s = 79.\n\nThus, the final answer is s = \\boxed{79}.",
"index": 9073,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = i + 11; r = d + 19; m = u + 16; n = m + 19; w = 2; c = w + 12; g = t + 4; u = w + 17; i = c + 9; t = n + 6; s = g + 15; z = p + 8; p = r + 20. If w = 2, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"m": "s + 16", "w": "m + 8", "q": "w + 1", "d": "q + 10", "g": "d + 10", "j": "g + 9", "x": "s + 3", "v": "x + 13", "y": "v + 1", "o": "y + 8", "p": "o + 16", "a": "p + 11", "s": 14}, "premises": {"s": 14}, "target": "j"}, "answer": {"steps": [["g", "d + 10", "d + 19"], ["d", "q + 10", "q + 29"], ["q", "w + 1", "w + 30"], ["w", "m + 8", "m + 38"], ["m", "s + 16", "s + 54"], ["s", 14, "68"]], "target_var_name": "j", "target_value": 68, "value_dict": {"s": 14}, "is_reverse": true}} | 9,074 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = d + 10; y = v + 1; q = w + 1; j = g + 9; m = s + 16; o = y + 8; x = s + 3; a = p + 11; v = x + 13; p = o + 16; d = q + 10; s = 14; w = m + 8. If s = 14, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = d + 10 to j, which gives j = d + 19.\n2. Substitute d = q + 10 to j, which gives j = q + 29.\n3. Substitute q = w + 1 to j, which gives j = w + 30.\n4. Substitute w = m + 8 to j, which gives j = m + 38.\n5. Substitute m = s + 16 to j, which gives j = s + 54.\n6. Substitute s = 14 to j, which gives j = 68.\n\nThus, the final answer is j = \\boxed{68}.",
"index": 9074,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = d + 10; y = v + 1; q = w + 1; j = g + 9; m = s + 16; o = y + 8; x = s + 3; a = p + 11; v = x + 13; p = o + 16; d = q + 10; s = 14; w = m + 8. If s = 14, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"c": "v + 18", "b": "c + 19", "g": "b + 17", "z": "g + 19", "m": "z + 9", "j": "m + 4", "y": "v + 20", "x": "y + 2", "t": "x + 14", "e": "t + 17", "o": "e + 2", "n": "o + 13", "v": 12}, "premises": {"v": 12}, "target": "j"}, "answer": {"steps": [["m", "z + 9", "z + 13"], ["z", "g + 19", "g + 32"], ["g", "b + 17", "b + 49"], ["b", "c + 19", "c + 68"], ["c", "v + 18", "v + 86"], ["v", 12, "98"]], "target_var_name": "j", "target_value": 98, "value_dict": {"v": 12}, "is_reverse": true}} | 9,075 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = m + 4; n = o + 13; v = 12; x = y + 2; c = v + 18; z = g + 19; t = x + 14; o = e + 2; y = v + 20; g = b + 17; m = z + 9; e = t + 17; b = c + 19. Given that v = 12, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = z + 9 to j, which gives j = z + 13.\n2. Substitute z = g + 19 to j, which gives j = g + 32.\n3. Substitute g = b + 17 to j, which gives j = b + 49.\n4. Substitute b = c + 19 to j, which gives j = c + 68.\n5. Substitute c = v + 18 to j, which gives j = v + 86.\n6. Substitute v = 12 to j, which gives j = 98.\n\nThus, the final answer is j = \\boxed{98}.",
"index": 9075,
"question": "Suppose a collection of variables is related by the following definitions: j = m + 4; n = o + 13; v = 12; x = y + 2; c = v + 18; z = g + 19; t = x + 14; o = e + 2; y = v + 20; g = b + 17; m = z + 9; e = t + 17; b = c + 19. Given that v = 12, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"h": "b + 5", "s": "h + 1", "w": "s + 20", "d": "w + 13", "n": "d + 11", "r": "n + 8", "f": "b + 9", "z": "f + 17", "v": "z + 15", "i": "v + 17", "e": "i + 19", "x": "e + 10", "b": 7}, "premises": {"b": 7}, "target": "r"}, "answer": {"steps": [["n", "d + 11", "d + 19"], ["d", "w + 13", "w + 32"], ["w", "s + 20", "s + 52"], ["s", "h + 1", "h + 53"], ["h", "b + 5", "b + 58"], ["b", 7, "65"]], "target_var_name": "r", "target_value": 65, "value_dict": {"b": 7}, "is_reverse": true}} | 9,076 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = v + 17; w = s + 20; h = b + 5; v = z + 15; x = e + 10; s = h + 1; b = 7; d = w + 13; e = i + 19; z = f + 17; r = n + 8; f = b + 9; n = d + 11. Given that b = 7, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = d + 11 to r, which gives r = d + 19.\n2. Substitute d = w + 13 to r, which gives r = w + 32.\n3. Substitute w = s + 20 to r, which gives r = s + 52.\n4. Substitute s = h + 1 to r, which gives r = h + 53.\n5. Substitute h = b + 5 to r, which gives r = b + 58.\n6. Substitute b = 7 to r, which gives r = 65.\n\nThus, the final answer is r = \\boxed{65}.",
"index": 9076,
"question": "Suppose a collection of variables is related by the following definitions: i = v + 17; w = s + 20; h = b + 5; v = z + 15; x = e + 10; s = h + 1; b = 7; d = w + 13; e = i + 19; z = f + 17; r = n + 8; f = b + 9; n = d + 11. Given that b = 7, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"r": "u + 20", "g": "r + 13", "c": "g + 9", "h": "c + 1", "p": "h + 8", "t": "p + 9", "d": "u + 6", "o": "d + 7", "k": "o + 2", "y": "k + 14", "a": "y + 11", "f": "a + 3", "u": 7}, "premises": {"u": 7}, "target": "t"}, "answer": {"steps": [["p", "h + 8", "h + 17"], ["h", "c + 1", "c + 18"], ["c", "g + 9", "g + 27"], ["g", "r + 13", "r + 40"], ["r", "u + 20", "u + 60"], ["u", 7, "67"]], "target_var_name": "t", "target_value": 67, "value_dict": {"u": 7}, "is_reverse": true}} | 9,077 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = h + 8; t = p + 9; u = 7; r = u + 20; f = a + 3; h = c + 1; y = k + 14; c = g + 9; o = d + 7; g = r + 13; a = y + 11; d = u + 6; k = o + 2. Given that u = 7, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = h + 8 to t, which gives t = h + 17.\n2. Substitute h = c + 1 to t, which gives t = c + 18.\n3. Substitute c = g + 9 to t, which gives t = g + 27.\n4. Substitute g = r + 13 to t, which gives t = r + 40.\n5. Substitute r = u + 20 to t, which gives t = u + 60.\n6. Substitute u = 7 to t, which gives t = 67.\n\nThus, the final answer is t = \\boxed{67}.",
"index": 9077,
"question": "Suppose a collection of variables is related by the following definitions: p = h + 8; t = p + 9; u = 7; r = u + 20; f = a + 3; h = c + 1; y = k + 14; c = g + 9; o = d + 7; g = r + 13; a = y + 11; d = u + 6; k = o + 2. Given that u = 7, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"r": "a + 18", "u": "r + 6", "n": "u + 8", "g": "n + 2", "j": "g + 14", "c": "j + 20", "y": "a + 14", "d": "y + 17", "q": "d + 19", "m": "q + 8", "e": "m + 7", "i": "e + 16", "a": 1}, "premises": {"a": 1}, "target": "c"}, "answer": {"steps": [["j", "g + 14", "g + 34"], ["g", "n + 2", "n + 36"], ["n", "u + 8", "u + 44"], ["u", "r + 6", "r + 50"], ["r", "a + 18", "a + 68"], ["a", 1, "69"]], "target_var_name": "c", "target_value": 69, "value_dict": {"a": 1}, "is_reverse": true}} | 9,078 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = a + 14; a = 1; q = d + 19; u = r + 6; i = e + 16; e = m + 7; m = q + 8; g = n + 2; r = a + 18; d = y + 17; j = g + 14; n = u + 8; c = j + 20. If a = 1, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = g + 14 to c, which gives c = g + 34.\n2. Substitute g = n + 2 to c, which gives c = n + 36.\n3. Substitute n = u + 8 to c, which gives c = u + 44.\n4. Substitute u = r + 6 to c, which gives c = r + 50.\n5. Substitute r = a + 18 to c, which gives c = a + 68.\n6. Substitute a = 1 to c, which gives c = 69.\n\nThus, the final answer is c = \\boxed{69}.",
"index": 9078,
"question": "Consider a system of variables where each variable is defined as follows: y = a + 14; a = 1; q = d + 19; u = r + 6; i = e + 16; e = m + 7; m = q + 8; g = n + 2; r = a + 18; d = y + 17; j = g + 14; n = u + 8; c = j + 20. If a = 1, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"x": "u + 14", "n": "x + 3", "r": "n + 10", "z": "r + 17", "c": "z + 14", "l": "c + 20", "q": "u + 4", "p": "q + 10", "a": "p + 1", "d": "a + 12", "e": "d + 7", "y": "e + 19", "u": 19}, "premises": {"u": 19}, "target": "l"}, "answer": {"steps": [["c", "z + 14", "z + 34"], ["z", "r + 17", "r + 51"], ["r", "n + 10", "n + 61"], ["n", "x + 3", "x + 64"], ["x", "u + 14", "u + 78"], ["u", 19, "97"]], "target_var_name": "l", "target_value": 97, "value_dict": {"u": 19}, "is_reverse": true}} | 9,079 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = 19; p = q + 10; d = a + 12; c = z + 14; e = d + 7; z = r + 17; l = c + 20; a = p + 1; n = x + 3; q = u + 4; x = u + 14; r = n + 10; y = e + 19. If u = 19, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = z + 14 to l, which gives l = z + 34.\n2. Substitute z = r + 17 to l, which gives l = r + 51.\n3. Substitute r = n + 10 to l, which gives l = n + 61.\n4. Substitute n = x + 3 to l, which gives l = x + 64.\n5. Substitute x = u + 14 to l, which gives l = u + 78.\n6. Substitute u = 19 to l, which gives l = 97.\n\nThus, the final answer is l = \\boxed{97}.",
"index": 9079,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = 19; p = q + 10; d = a + 12; c = z + 14; e = d + 7; z = r + 17; l = c + 20; a = p + 1; n = x + 3; q = u + 4; x = u + 14; r = n + 10; y = e + 19. If u = 19, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"o": "q + 4", "p": "o + 10", "k": "p + 20", "c": "k + 18", "r": "c + 17", "w": "r + 14", "e": "q + 8", "l": "e + 10", "y": "l + 15", "t": "y + 18", "f": "t + 2", "i": "f + 13", "q": 11}, "premises": {"q": 11}, "target": "w"}, "answer": {"steps": [["r", "c + 17", "c + 31"], ["c", "k + 18", "k + 49"], ["k", "p + 20", "p + 69"], ["p", "o + 10", "o + 79"], ["o", "q + 4", "q + 83"], ["q", 11, "94"]], "target_var_name": "w", "target_value": 94, "value_dict": {"q": 11}, "is_reverse": true}} | 9,080 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = 11; l = e + 10; o = q + 4; y = l + 15; i = f + 13; e = q + 8; k = p + 20; p = o + 10; c = k + 18; f = t + 2; t = y + 18; w = r + 14; r = c + 17. If q = 11, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = c + 17 to w, which gives w = c + 31.\n2. Substitute c = k + 18 to w, which gives w = k + 49.\n3. Substitute k = p + 20 to w, which gives w = p + 69.\n4. Substitute p = o + 10 to w, which gives w = o + 79.\n5. Substitute o = q + 4 to w, which gives w = q + 83.\n6. Substitute q = 11 to w, which gives w = 94.\n\nThus, the final answer is w = \\boxed{94}.",
"index": 9080,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = 11; l = e + 10; o = q + 4; y = l + 15; i = f + 13; e = q + 8; k = p + 20; p = o + 10; c = k + 18; f = t + 2; t = y + 18; w = r + 14; r = c + 17. If q = 11, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"p": "c + 12", "s": "p + 14", "k": "s + 14", "w": "k + 7", "f": "w + 6", "x": "f + 13", "h": "c + 14", "m": "h + 1", "v": "m + 14", "q": "v + 17", "a": "q + 13", "t": "a + 1", "c": 9}, "premises": {"c": 9}, "target": "x"}, "answer": {"steps": [["f", "w + 6", "w + 19"], ["w", "k + 7", "k + 26"], ["k", "s + 14", "s + 40"], ["s", "p + 14", "p + 54"], ["p", "c + 12", "c + 66"], ["c", 9, "75"]], "target_var_name": "x", "target_value": 75, "value_dict": {"c": 9}, "is_reverse": true}} | 9,081 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = v + 17; k = s + 14; h = c + 14; x = f + 13; c = 9; f = w + 6; v = m + 14; s = p + 14; w = k + 7; m = h + 1; p = c + 12; t = a + 1; a = q + 13. Given that c = 9, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = w + 6 to x, which gives x = w + 19.\n2. Substitute w = k + 7 to x, which gives x = k + 26.\n3. Substitute k = s + 14 to x, which gives x = s + 40.\n4. Substitute s = p + 14 to x, which gives x = p + 54.\n5. Substitute p = c + 12 to x, which gives x = c + 66.\n6. Substitute c = 9 to x, which gives x = 75.\n\nThus, the final answer is x = \\boxed{75}.",
"index": 9081,
"question": "Suppose a collection of variables is related by the following definitions: q = v + 17; k = s + 14; h = c + 14; x = f + 13; c = 9; f = w + 6; v = m + 14; s = p + 14; w = k + 7; m = h + 1; p = c + 12; t = a + 1; a = q + 13. Given that c = 9, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"p": "l + 9", "w": "p + 9", "b": "w + 12", "u": "b + 15", "v": "u + 11", "k": "v + 11", "h": "l + 18", "t": "h + 2", "x": "t + 17", "r": "x + 17", "i": "r + 12", "c": "i + 6", "l": 1}, "premises": {"l": 1}, "target": "k"}, "answer": {"steps": [["v", "u + 11", "u + 22"], ["u", "b + 15", "b + 37"], ["b", "w + 12", "w + 49"], ["w", "p + 9", "p + 58"], ["p", "l + 9", "l + 67"], ["l", 1, "68"]], "target_var_name": "k", "target_value": 68, "value_dict": {"l": 1}, "is_reverse": true}} | 9,082 | 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 + 12; p = l + 9; h = l + 18; l = 1; c = i + 6; w = p + 9; x = t + 17; u = b + 15; k = v + 11; i = r + 12; v = u + 11; r = x + 17; t = h + 2. If l = 1, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = u + 11 to k, which gives k = u + 22.\n2. Substitute u = b + 15 to k, which gives k = b + 37.\n3. Substitute b = w + 12 to k, which gives k = w + 49.\n4. Substitute w = p + 9 to k, which gives k = p + 58.\n5. Substitute p = l + 9 to k, which gives k = l + 67.\n6. Substitute l = 1 to k, which gives k = 68.\n\nThus, the final answer is k = \\boxed{68}.",
"index": 9082,
"question": "Consider a system of variables where each variable is defined as follows: b = w + 12; p = l + 9; h = l + 18; l = 1; c = i + 6; w = p + 9; x = t + 17; u = b + 15; k = v + 11; i = r + 12; v = u + 11; r = x + 17; t = h + 2. If l = 1, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"r": "e + 19", "d": "r + 15", "h": "d + 8", "t": "h + 8", "o": "t + 10", "p": "o + 20", "y": "e + 12", "b": "y + 13", "u": "b + 6", "l": "u + 3", "v": "l + 2", "n": "v + 19", "e": 17}, "premises": {"e": 17}, "target": "p"}, "answer": {"steps": [["o", "t + 10", "t + 30"], ["t", "h + 8", "h + 38"], ["h", "d + 8", "d + 46"], ["d", "r + 15", "r + 61"], ["r", "e + 19", "e + 80"], ["e", 17, "97"]], "target_var_name": "p", "target_value": 97, "value_dict": {"e": 17}, "is_reverse": true}} | 9,083 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = e + 12; t = h + 8; p = o + 20; l = u + 3; r = e + 19; u = b + 6; b = y + 13; e = 17; v = l + 2; n = v + 19; o = t + 10; d = r + 15; h = d + 8. If e = 17, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = t + 10 to p, which gives p = t + 30.\n2. Substitute t = h + 8 to p, which gives p = h + 38.\n3. Substitute h = d + 8 to p, which gives p = d + 46.\n4. Substitute d = r + 15 to p, which gives p = r + 61.\n5. Substitute r = e + 19 to p, which gives p = e + 80.\n6. Substitute e = 17 to p, which gives p = 97.\n\nThus, the final answer is p = \\boxed{97}.",
"index": 9083,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = e + 12; t = h + 8; p = o + 20; l = u + 3; r = e + 19; u = b + 6; b = y + 13; e = 17; v = l + 2; n = v + 19; o = t + 10; d = r + 15; h = d + 8. If e = 17, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"s": "c + 9", "e": "s + 14", "b": "e + 15", "x": "b + 19", "g": "x + 11", "q": "g + 16", "v": "c + 15", "y": "v + 8", "f": "y + 7", "p": "f + 15", "a": "p + 17", "d": "a + 1", "c": 2}, "premises": {"c": 2}, "target": "q"}, "answer": {"steps": [["g", "x + 11", "x + 27"], ["x", "b + 19", "b + 46"], ["b", "e + 15", "e + 61"], ["e", "s + 14", "s + 75"], ["s", "c + 9", "c + 84"], ["c", 2, "86"]], "target_var_name": "q", "target_value": 86, "value_dict": {"c": 2}, "is_reverse": true}} | 9,084 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = b + 19; y = v + 8; q = g + 16; p = f + 15; a = p + 17; f = y + 7; v = c + 15; g = x + 11; e = s + 14; c = 2; b = e + 15; s = c + 9; d = a + 1. If c = 2, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = x + 11 to q, which gives q = x + 27.\n2. Substitute x = b + 19 to q, which gives q = b + 46.\n3. Substitute b = e + 15 to q, which gives q = e + 61.\n4. Substitute e = s + 14 to q, which gives q = s + 75.\n5. Substitute s = c + 9 to q, which gives q = c + 84.\n6. Substitute c = 2 to q, which gives q = 86.\n\nThus, the final answer is q = \\boxed{86}.",
"index": 9084,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = b + 19; y = v + 8; q = g + 16; p = f + 15; a = p + 17; f = y + 7; v = c + 15; g = x + 11; e = s + 14; c = 2; b = e + 15; s = c + 9; d = a + 1. If c = 2, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"v": "c + 5", "m": "v + 9", "r": "m + 18", "t": "r + 13", "j": "t + 4", "h": "j + 13", "p": "c + 2", "d": "p + 17", "e": "d + 19", "o": "e + 16", "n": "o + 5", "g": "n + 15", "c": 12}, "premises": {"c": 12}, "target": "h"}, "answer": {"steps": [["j", "t + 4", "t + 17"], ["t", "r + 13", "r + 30"], ["r", "m + 18", "m + 48"], ["m", "v + 9", "v + 57"], ["v", "c + 5", "c + 62"], ["c", 12, "74"]], "target_var_name": "h", "target_value": 74, "value_dict": {"c": 12}, "is_reverse": true}} | 9,085 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = p + 17; g = n + 15; o = e + 16; c = 12; h = j + 13; r = m + 18; m = v + 9; v = c + 5; j = t + 4; t = r + 13; n = o + 5; e = d + 19; p = c + 2. If c = 12, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = t + 4 to h, which gives h = t + 17.\n2. Substitute t = r + 13 to h, which gives h = r + 30.\n3. Substitute r = m + 18 to h, which gives h = m + 48.\n4. Substitute m = v + 9 to h, which gives h = v + 57.\n5. Substitute v = c + 5 to h, which gives h = c + 62.\n6. Substitute c = 12 to h, which gives h = 74.\n\nThus, the final answer is h = \\boxed{74}.",
"index": 9085,
"question": "Consider a system of variables where each variable is defined as follows: d = p + 17; g = n + 15; o = e + 16; c = 12; h = j + 13; r = m + 18; m = v + 9; v = c + 5; j = t + 4; t = r + 13; n = o + 5; e = d + 19; p = c + 2. If c = 12, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"b": "n + 6", "g": "b + 17", "v": "g + 5", "y": "v + 17", "a": "y + 15", "z": "a + 1", "o": "n + 3", "t": "o + 19", "r": "t + 7", "i": "r + 7", "q": "i + 10", "u": "q + 6", "n": 9}, "premises": {"n": 9}, "target": "z"}, "answer": {"steps": [["a", "y + 15", "y + 16"], ["y", "v + 17", "v + 33"], ["v", "g + 5", "g + 38"], ["g", "b + 17", "b + 55"], ["b", "n + 6", "n + 61"], ["n", 9, "70"]], "target_var_name": "z", "target_value": 70, "value_dict": {"n": 9}, "is_reverse": true}} | 9,086 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = t + 7; v = g + 5; o = n + 3; u = q + 6; b = n + 6; z = a + 1; a = y + 15; q = i + 10; n = 9; g = b + 17; t = o + 19; i = r + 7; y = v + 17. If n = 9, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = y + 15 to z, which gives z = y + 16.\n2. Substitute y = v + 17 to z, which gives z = v + 33.\n3. Substitute v = g + 5 to z, which gives z = g + 38.\n4. Substitute g = b + 17 to z, which gives z = b + 55.\n5. Substitute b = n + 6 to z, which gives z = n + 61.\n6. Substitute n = 9 to z, which gives z = 70.\n\nThus, the final answer is z = \\boxed{70}.",
"index": 9086,
"question": "Consider a system of variables where each variable is defined as follows: r = t + 7; v = g + 5; o = n + 3; u = q + 6; b = n + 6; z = a + 1; a = y + 15; q = i + 10; n = 9; g = b + 17; t = o + 19; i = r + 7; y = v + 17. If n = 9, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"h": "p + 4", "k": "h + 12", "f": "k + 18", "z": "f + 11", "u": "z + 16", "i": "u + 19", "d": "p + 3", "w": "d + 16", "e": "w + 19", "o": "e + 14", "b": "o + 20", "v": "b + 18", "p": 20}, "premises": {"p": 20}, "target": "i"}, "answer": {"steps": [["u", "z + 16", "z + 35"], ["z", "f + 11", "f + 46"], ["f", "k + 18", "k + 64"], ["k", "h + 12", "h + 76"], ["h", "p + 4", "p + 80"], ["p", 20, "100"]], "target_var_name": "i", "target_value": 100, "value_dict": {"p": 20}, "is_reverse": true}} | 9,087 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = p + 4; z = f + 11; d = p + 3; w = d + 16; o = e + 14; u = z + 16; v = b + 18; k = h + 12; e = w + 19; b = o + 20; i = u + 19; f = k + 18; p = 20. Given that p = 20, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = z + 16 to i, which gives i = z + 35.\n2. Substitute z = f + 11 to i, which gives i = f + 46.\n3. Substitute f = k + 18 to i, which gives i = k + 64.\n4. Substitute k = h + 12 to i, which gives i = h + 76.\n5. Substitute h = p + 4 to i, which gives i = p + 80.\n6. Substitute p = 20 to i, which gives i = 100.\n\nThus, the final answer is i = \\boxed{100}.",
"index": 9087,
"question": "Suppose a collection of variables is related by the following definitions: h = p + 4; z = f + 11; d = p + 3; w = d + 16; o = e + 14; u = z + 16; v = b + 18; k = h + 12; e = w + 19; b = o + 20; i = u + 19; f = k + 18; p = 20. Given that p = 20, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"v": "h + 6", "p": "v + 3", "f": "p + 17", "g": "f + 7", "t": "g + 19", "c": "t + 11", "w": "h + 6", "u": "w + 11", "d": "u + 7", "y": "d + 18", "j": "y + 11", "e": "j + 19", "h": 15}, "premises": {"h": 15}, "target": "c"}, "answer": {"steps": [["t", "g + 19", "g + 30"], ["g", "f + 7", "f + 37"], ["f", "p + 17", "p + 54"], ["p", "v + 3", "v + 57"], ["v", "h + 6", "h + 63"], ["h", 15, "78"]], "target_var_name": "c", "target_value": 78, "value_dict": {"h": 15}, "is_reverse": true}} | 9,088 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = w + 11; p = v + 3; d = u + 7; j = y + 11; e = j + 19; f = p + 17; v = h + 6; h = 15; g = f + 7; t = g + 19; c = t + 11; y = d + 18; w = h + 6. If h = 15, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = g + 19 to c, which gives c = g + 30.\n2. Substitute g = f + 7 to c, which gives c = f + 37.\n3. Substitute f = p + 17 to c, which gives c = p + 54.\n4. Substitute p = v + 3 to c, which gives c = v + 57.\n5. Substitute v = h + 6 to c, which gives c = h + 63.\n6. Substitute h = 15 to c, which gives c = 78.\n\nThus, the final answer is c = \\boxed{78}.",
"index": 9088,
"question": "Consider a system of variables where each variable is defined as follows: u = w + 11; p = v + 3; d = u + 7; j = y + 11; e = j + 19; f = p + 17; v = h + 6; h = 15; g = f + 7; t = g + 19; c = t + 11; y = d + 18; w = h + 6. If h = 15, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"u": "l + 8", "f": "u + 9", "h": "f + 1", "e": "h + 9", "o": "e + 7", "s": "o + 19", "i": "l + 8", "a": "i + 3", "t": "a + 7", "j": "t + 20", "q": "j + 9", "m": "q + 10", "l": 3}, "premises": {"l": 3}, "target": "s"}, "answer": {"steps": [["o", "e + 7", "e + 26"], ["e", "h + 9", "h + 35"], ["h", "f + 1", "f + 36"], ["f", "u + 9", "u + 45"], ["u", "l + 8", "l + 53"], ["l", 3, "56"]], "target_var_name": "s", "target_value": 56, "value_dict": {"l": 3}, "is_reverse": true}} | 9,089 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = f + 1; e = h + 9; q = j + 9; l = 3; i = l + 8; t = a + 7; j = t + 20; f = u + 9; a = i + 3; m = q + 10; u = l + 8; s = o + 19; o = e + 7. Given that l = 3, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = e + 7 to s, which gives s = e + 26.\n2. Substitute e = h + 9 to s, which gives s = h + 35.\n3. Substitute h = f + 1 to s, which gives s = f + 36.\n4. Substitute f = u + 9 to s, which gives s = u + 45.\n5. Substitute u = l + 8 to s, which gives s = l + 53.\n6. Substitute l = 3 to s, which gives s = 56.\n\nThus, the final answer is s = \\boxed{56}.",
"index": 9089,
"question": "Suppose a collection of variables is related by the following definitions: h = f + 1; e = h + 9; q = j + 9; l = 3; i = l + 8; t = a + 7; j = t + 20; f = u + 9; a = i + 3; m = q + 10; u = l + 8; s = o + 19; o = e + 7. Given that l = 3, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"g": "x + 5", "f": "g + 4", "k": "f + 6", "p": "k + 16", "m": "p + 20", "e": "m + 20", "h": "x + 12", "d": "h + 15", "q": "d + 16", "y": "q + 12", "n": "y + 4", "c": "n + 3", "x": 4}, "premises": {"x": 4}, "target": "e"}, "answer": {"steps": [["m", "p + 20", "p + 40"], ["p", "k + 16", "k + 56"], ["k", "f + 6", "f + 62"], ["f", "g + 4", "g + 66"], ["g", "x + 5", "x + 71"], ["x", 4, "75"]], "target_var_name": "e", "target_value": 75, "value_dict": {"x": 4}, "is_reverse": true}} | 9,090 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = h + 15; q = d + 16; m = p + 20; k = f + 6; y = q + 12; f = g + 4; h = x + 12; e = m + 20; g = x + 5; x = 4; c = n + 3; n = y + 4; p = k + 16. Given that x = 4, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = p + 20 to e, which gives e = p + 40.\n2. Substitute p = k + 16 to e, which gives e = k + 56.\n3. Substitute k = f + 6 to e, which gives e = f + 62.\n4. Substitute f = g + 4 to e, which gives e = g + 66.\n5. Substitute g = x + 5 to e, which gives e = x + 71.\n6. Substitute x = 4 to e, which gives e = 75.\n\nThus, the final answer is e = \\boxed{75}.",
"index": 9090,
"question": "Suppose a collection of variables is related by the following definitions: d = h + 15; q = d + 16; m = p + 20; k = f + 6; y = q + 12; f = g + 4; h = x + 12; e = m + 20; g = x + 5; x = 4; c = n + 3; n = y + 4; p = k + 16. Given that x = 4, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"m": "x + 14", "w": "m + 15", "e": "w + 18", "z": "e + 3", "g": "z + 14", "a": "g + 15", "h": "x + 6", "j": "h + 9", "f": "j + 11", "v": "f + 5", "o": "v + 15", "t": "o + 17", "x": 19}, "premises": {"x": 19}, "target": "a"}, "answer": {"steps": [["g", "z + 14", "z + 29"], ["z", "e + 3", "e + 32"], ["e", "w + 18", "w + 50"], ["w", "m + 15", "m + 65"], ["m", "x + 14", "x + 79"], ["x", 19, "98"]], "target_var_name": "a", "target_value": 98, "value_dict": {"x": 19}, "is_reverse": true}} | 9,091 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = x + 14; e = w + 18; a = g + 15; z = e + 3; j = h + 9; g = z + 14; t = o + 17; o = v + 15; h = x + 6; f = j + 11; x = 19; v = f + 5; w = m + 15. Given that x = 19, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = z + 14 to a, which gives a = z + 29.\n2. Substitute z = e + 3 to a, which gives a = e + 32.\n3. Substitute e = w + 18 to a, which gives a = w + 50.\n4. Substitute w = m + 15 to a, which gives a = m + 65.\n5. Substitute m = x + 14 to a, which gives a = x + 79.\n6. Substitute x = 19 to a, which gives a = 98.\n\nThus, the final answer is a = \\boxed{98}.",
"index": 9091,
"question": "Suppose a collection of variables is related by the following definitions: m = x + 14; e = w + 18; a = g + 15; z = e + 3; j = h + 9; g = z + 14; t = o + 17; o = v + 15; h = x + 6; f = j + 11; x = 19; v = f + 5; w = m + 15. Given that x = 19, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"e": "v + 18", "z": "e + 18", "r": "z + 13", "f": "r + 3", "i": "f + 7", "j": "i + 7", "q": "v + 19", "a": "q + 1", "s": "a + 8", "t": "s + 17", "d": "t + 4", "m": "d + 15", "v": 10}, "premises": {"v": 10}, "target": "j"}, "answer": {"steps": [["i", "f + 7", "f + 14"], ["f", "r + 3", "r + 17"], ["r", "z + 13", "z + 30"], ["z", "e + 18", "e + 48"], ["e", "v + 18", "v + 66"], ["v", 10, "76"]], "target_var_name": "j", "target_value": 76, "value_dict": {"v": 10}, "is_reverse": true}} | 9,092 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = i + 7; a = q + 1; r = z + 13; q = v + 19; t = s + 17; s = a + 8; z = e + 18; v = 10; d = t + 4; m = d + 15; i = f + 7; e = v + 18; f = r + 3. If v = 10, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = f + 7 to j, which gives j = f + 14.\n2. Substitute f = r + 3 to j, which gives j = r + 17.\n3. Substitute r = z + 13 to j, which gives j = z + 30.\n4. Substitute z = e + 18 to j, which gives j = e + 48.\n5. Substitute e = v + 18 to j, which gives j = v + 66.\n6. Substitute v = 10 to j, which gives j = 76.\n\nThus, the final answer is j = \\boxed{76}.",
"index": 9092,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = i + 7; a = q + 1; r = z + 13; q = v + 19; t = s + 17; s = a + 8; z = e + 18; v = 10; d = t + 4; m = d + 15; i = f + 7; e = v + 18; f = r + 3. If v = 10, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"x": "g + 5", "s": "x + 15", "c": "s + 19", "i": "c + 2", "r": "i + 15", "d": "r + 20", "v": "g + 3", "h": "v + 10", "j": "h + 16", "k": "j + 11", "m": "k + 13", "b": "m + 5", "g": 15}, "premises": {"g": 15}, "target": "d"}, "answer": {"steps": [["r", "i + 15", "i + 35"], ["i", "c + 2", "c + 37"], ["c", "s + 19", "s + 56"], ["s", "x + 15", "x + 71"], ["x", "g + 5", "g + 76"], ["g", 15, "91"]], "target_var_name": "d", "target_value": 91, "value_dict": {"g": 15}, "is_reverse": true}} | 9,093 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = x + 15; d = r + 20; r = i + 15; g = 15; h = v + 10; x = g + 5; c = s + 19; j = h + 16; i = c + 2; m = k + 13; k = j + 11; v = g + 3; b = m + 5. If g = 15, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = i + 15 to d, which gives d = i + 35.\n2. Substitute i = c + 2 to d, which gives d = c + 37.\n3. Substitute c = s + 19 to d, which gives d = s + 56.\n4. Substitute s = x + 15 to d, which gives d = x + 71.\n5. Substitute x = g + 5 to d, which gives d = g + 76.\n6. Substitute g = 15 to d, which gives d = 91.\n\nThus, the final answer is d = \\boxed{91}.",
"index": 9093,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = x + 15; d = r + 20; r = i + 15; g = 15; h = v + 10; x = g + 5; c = s + 19; j = h + 16; i = c + 2; m = k + 13; k = j + 11; v = g + 3; b = m + 5. If g = 15, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"t": "l + 13", "k": "t + 16", "g": "k + 6", "y": "g + 4", "s": "y + 7", "b": "s + 10", "c": "l + 11", "x": "c + 13", "j": "x + 3", "n": "j + 8", "p": "n + 15", "i": "p + 13", "l": 13}, "premises": {"l": 13}, "target": "b"}, "answer": {"steps": [["s", "y + 7", "y + 17"], ["y", "g + 4", "g + 21"], ["g", "k + 6", "k + 27"], ["k", "t + 16", "t + 43"], ["t", "l + 13", "l + 56"], ["l", 13, "69"]], "target_var_name": "b", "target_value": 69, "value_dict": {"l": 13}, "is_reverse": true}} | 9,094 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = g + 4; k = t + 16; c = l + 11; t = l + 13; s = y + 7; i = p + 13; g = k + 6; x = c + 13; b = s + 10; p = n + 15; j = x + 3; l = 13; n = j + 8. Given that l = 13, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = y + 7 to b, which gives b = y + 17.\n2. Substitute y = g + 4 to b, which gives b = g + 21.\n3. Substitute g = k + 6 to b, which gives b = k + 27.\n4. Substitute k = t + 16 to b, which gives b = t + 43.\n5. Substitute t = l + 13 to b, which gives b = l + 56.\n6. Substitute l = 13 to b, which gives b = 69.\n\nThus, the final answer is b = \\boxed{69}.",
"index": 9094,
"question": "Suppose a collection of variables is related by the following definitions: y = g + 4; k = t + 16; c = l + 11; t = l + 13; s = y + 7; i = p + 13; g = k + 6; x = c + 13; b = s + 10; p = n + 15; j = x + 3; l = 13; n = j + 8. Given that l = 13, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"t": "f + 10", "a": "t + 16", "o": "a + 7", "x": "o + 4", "h": "x + 18", "u": "h + 13", "z": "f + 18", "s": "z + 16", "k": "s + 18", "n": "k + 18", "g": "n + 14", "p": "g + 18", "f": 19}, "premises": {"f": 19}, "target": "u"}, "answer": {"steps": [["h", "x + 18", "x + 31"], ["x", "o + 4", "o + 35"], ["o", "a + 7", "a + 42"], ["a", "t + 16", "t + 58"], ["t", "f + 10", "f + 68"], ["f", 19, "87"]], "target_var_name": "u", "target_value": 87, "value_dict": {"f": 19}, "is_reverse": true}} | 9,095 | 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 = x + 18; u = h + 13; k = s + 18; o = a + 7; f = 19; s = z + 16; a = t + 16; n = k + 18; x = o + 4; t = f + 10; g = n + 14; z = f + 18; p = g + 18. If f = 19, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = x + 18 to u, which gives u = x + 31.\n2. Substitute x = o + 4 to u, which gives u = o + 35.\n3. Substitute o = a + 7 to u, which gives u = a + 42.\n4. Substitute a = t + 16 to u, which gives u = t + 58.\n5. Substitute t = f + 10 to u, which gives u = f + 68.\n6. Substitute f = 19 to u, which gives u = 87.\n\nThus, the final answer is u = \\boxed{87}.",
"index": 9095,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = x + 18; u = h + 13; k = s + 18; o = a + 7; f = 19; s = z + 16; a = t + 16; n = k + 18; x = o + 4; t = f + 10; g = n + 14; z = f + 18; p = g + 18. If f = 19, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"s": "t + 13", "j": "s + 15", "p": "j + 13", "c": "p + 18", "m": "c + 14", "f": "m + 14", "q": "t + 17", "x": "q + 11", "h": "x + 6", "y": "h + 3", "w": "y + 19", "r": "w + 19", "t": 2}, "premises": {"t": 2}, "target": "f"}, "answer": {"steps": [["m", "c + 14", "c + 28"], ["c", "p + 18", "p + 46"], ["p", "j + 13", "j + 59"], ["j", "s + 15", "s + 74"], ["s", "t + 13", "t + 87"], ["t", 2, "89"]], "target_var_name": "f", "target_value": 89, "value_dict": {"t": 2}, "is_reverse": true}} | 9,096 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = y + 19; s = t + 13; r = w + 19; j = s + 15; x = q + 11; p = j + 13; m = c + 14; h = x + 6; c = p + 18; f = m + 14; y = h + 3; q = t + 17; t = 2. If t = 2, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = c + 14 to f, which gives f = c + 28.\n2. Substitute c = p + 18 to f, which gives f = p + 46.\n3. Substitute p = j + 13 to f, which gives f = j + 59.\n4. Substitute j = s + 15 to f, which gives f = s + 74.\n5. Substitute s = t + 13 to f, which gives f = t + 87.\n6. Substitute t = 2 to f, which gives f = 89.\n\nThus, the final answer is f = \\boxed{89}.",
"index": 9096,
"question": "Consider a system of variables where each variable is defined as follows: w = y + 19; s = t + 13; r = w + 19; j = s + 15; x = q + 11; p = j + 13; m = c + 14; h = x + 6; c = p + 18; f = m + 14; y = h + 3; q = t + 17; t = 2. If t = 2, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"b": "t + 13", "a": "b + 1", "d": "a + 12", "i": "d + 12", "u": "i + 12", "n": "u + 6", "h": "t + 7", "r": "h + 20", "f": "r + 7", "p": "f + 13", "v": "p + 16", "g": "v + 20", "t": 11}, "premises": {"t": 11}, "target": "n"}, "answer": {"steps": [["u", "i + 12", "i + 18"], ["i", "d + 12", "d + 30"], ["d", "a + 12", "a + 42"], ["a", "b + 1", "b + 43"], ["b", "t + 13", "t + 56"], ["t", 11, "67"]], "target_var_name": "n", "target_value": 67, "value_dict": {"t": 11}, "is_reverse": true}} | 9,097 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = u + 6; p = f + 13; t = 11; u = i + 12; f = r + 7; v = p + 16; r = h + 20; i = d + 12; h = t + 7; g = v + 20; d = a + 12; b = t + 13; a = b + 1. If t = 11, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = i + 12 to n, which gives n = i + 18.\n2. Substitute i = d + 12 to n, which gives n = d + 30.\n3. Substitute d = a + 12 to n, which gives n = a + 42.\n4. Substitute a = b + 1 to n, which gives n = b + 43.\n5. Substitute b = t + 13 to n, which gives n = t + 56.\n6. Substitute t = 11 to n, which gives n = 67.\n\nThus, the final answer is n = \\boxed{67}.",
"index": 9097,
"question": "Consider a system of variables where each variable is defined as follows: n = u + 6; p = f + 13; t = 11; u = i + 12; f = r + 7; v = p + 16; r = h + 20; i = d + 12; h = t + 7; g = v + 20; d = a + 12; b = t + 13; a = b + 1. If t = 11, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"f": "b + 13", "k": "f + 4", "p": "k + 8", "l": "p + 6", "n": "l + 7", "j": "n + 20", "q": "b + 4", "w": "q + 3", "e": "w + 14", "r": "e + 19", "u": "r + 14", "s": "u + 3", "b": 13}, "premises": {"b": 13}, "target": "j"}, "answer": {"steps": [["n", "l + 7", "l + 27"], ["l", "p + 6", "p + 33"], ["p", "k + 8", "k + 41"], ["k", "f + 4", "f + 45"], ["f", "b + 13", "b + 58"], ["b", 13, "71"]], "target_var_name": "j", "target_value": 71, "value_dict": {"b": 13}, "is_reverse": true}} | 9,098 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = k + 8; r = e + 19; k = f + 4; l = p + 6; j = n + 20; q = b + 4; n = l + 7; e = w + 14; u = r + 14; w = q + 3; b = 13; f = b + 13; s = u + 3. If b = 13, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = l + 7 to j, which gives j = l + 27.\n2. Substitute l = p + 6 to j, which gives j = p + 33.\n3. Substitute p = k + 8 to j, which gives j = k + 41.\n4. Substitute k = f + 4 to j, which gives j = f + 45.\n5. Substitute f = b + 13 to j, which gives j = b + 58.\n6. Substitute b = 13 to j, which gives j = 71.\n\nThus, the final answer is j = \\boxed{71}.",
"index": 9098,
"question": "Consider a system of variables where each variable is defined as follows: p = k + 8; r = e + 19; k = f + 4; l = p + 6; j = n + 20; q = b + 4; n = l + 7; e = w + 14; u = r + 14; w = q + 3; b = 13; f = b + 13; s = u + 3. If b = 13, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"z": "i + 15", "r": "z + 7", "c": "r + 6", "y": "c + 16", "m": "y + 2", "n": "m + 13", "w": "i + 8", "f": "w + 6", "a": "f + 16", "s": "a + 1", "g": "s + 4", "t": "g + 19", "i": 20}, "premises": {"i": 20}, "target": "n"}, "answer": {"steps": [["m", "y + 2", "y + 15"], ["y", "c + 16", "c + 31"], ["c", "r + 6", "r + 37"], ["r", "z + 7", "z + 44"], ["z", "i + 15", "i + 59"], ["i", 20, "79"]], "target_var_name": "n", "target_value": 79, "value_dict": {"i": 20}, "is_reverse": true}} | 9,099 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = g + 19; y = c + 16; f = w + 6; a = f + 16; s = a + 1; w = i + 8; r = z + 7; m = y + 2; z = i + 15; n = m + 13; g = s + 4; c = r + 6; i = 20. If i = 20, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = y + 2 to n, which gives n = y + 15.\n2. Substitute y = c + 16 to n, which gives n = c + 31.\n3. Substitute c = r + 6 to n, which gives n = r + 37.\n4. Substitute r = z + 7 to n, which gives n = z + 44.\n5. Substitute z = i + 15 to n, which gives n = i + 59.\n6. Substitute i = 20 to n, which gives n = 79.\n\nThus, the final answer is n = \\boxed{79}.",
"index": 9099,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = g + 19; y = c + 16; f = w + 6; a = f + 16; s = a + 1; w = i + 8; r = z + 7; m = y + 2; z = i + 15; n = m + 13; g = s + 4; c = r + 6; i = 20. If i = 20, what is the resulting value of n?",
"split": "train"
} |
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