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": {"p": "c + 8", "f": "p + 9", "w": "f + 4", "b": "w + 16", "s": "b + 11", "t": "s + 14", "z": "c + 13", "l": "z + 13", "k": "l + 15", "g": "k + 14", "h": "g + 7", "d": "h + 17", "c": 6}, "premises": {"c": 6}, "target": "t"}, "answer": {"steps": [["s", "b + 11", "b + 25"], ["b", "w + 16", "w + 41"], ["w", "f + 4", "f + 45"], ["f", "p + 9", "p + 54"], ["p", "c + 8", "c + 62"], ["c", 6, "68"]], "target_var_name": "t", "target_value": 68, "value_dict": {"c": 6}, "is_reverse": true}} | 21,500 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = p + 9; p = c + 8; s = b + 11; l = z + 13; z = c + 13; b = w + 16; g = k + 14; c = 6; t = s + 14; w = f + 4; k = l + 15; h = g + 7; d = h + 17. Given that c = 6, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = b + 11 to t, which gives t = b + 25.\n2. Substitute b = w + 16 to t, which gives t = w + 41.\n3. Substitute w = f + 4 to t, which gives t = f + 45.\n4. Substitute f = p + 9 to t, which gives t = p + 54.\n5. Substitute p = c + 8 to t, which gives t = c + 62.\n6. Substitute c = 6 to t, which gives t = 68.\n\nThus, the final answer is t = \\boxed{68}.",
"index": 21500,
"question": "Suppose a collection of variables is related by the following definitions: f = p + 9; p = c + 8; s = b + 11; l = z + 13; z = c + 13; b = w + 16; g = k + 14; c = 6; t = s + 14; w = f + 4; k = l + 15; h = g + 7; d = h + 17. Given that c = 6, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"d": "e + 10", "s": "d + 20", "w": "s + 12", "g": "w + 5", "v": "g + 16", "r": "v + 12", "z": "e + 15", "u": "z + 10", "n": "u + 3", "y": "n + 17", "c": "y + 5", "a": "c + 17", "e": 13}, "premises": {"e": 13}, "target": "r"}, "answer": {"steps": [["v", "g + 16", "g + 28"], ["g", "w + 5", "w + 33"], ["w", "s + 12", "s + 45"], ["s", "d + 20", "d + 65"], ["d", "e + 10", "e + 75"], ["e", 13, "88"]], "target_var_name": "r", "target_value": 88, "value_dict": {"e": 13}, "is_reverse": true}} | 21,501 | 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 = c + 17; w = s + 12; z = e + 15; v = g + 16; d = e + 10; u = z + 10; r = v + 12; g = w + 5; n = u + 3; s = d + 20; e = 13; c = y + 5; y = n + 17. If e = 13, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = g + 16 to r, which gives r = g + 28.\n2. Substitute g = w + 5 to r, which gives r = w + 33.\n3. Substitute w = s + 12 to r, which gives r = s + 45.\n4. Substitute s = d + 20 to r, which gives r = d + 65.\n5. Substitute d = e + 10 to r, which gives r = e + 75.\n6. Substitute e = 13 to r, which gives r = 88.\n\nThus, the final answer is r = \\boxed{88}.",
"index": 21501,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = c + 17; w = s + 12; z = e + 15; v = g + 16; d = e + 10; u = z + 10; r = v + 12; g = w + 5; n = u + 3; s = d + 20; e = 13; c = y + 5; y = n + 17. If e = 13, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"g": "l + 20", "m": "g + 6", "y": "m + 20", "s": "y + 12", "a": "s + 17", "b": "a + 18", "f": "l + 1", "q": "f + 19", "u": "q + 19", "z": "u + 3", "n": "z + 2", "i": "n + 15", "l": 11}, "premises": {"l": 11}, "target": "b"}, "answer": {"steps": [["a", "s + 17", "s + 35"], ["s", "y + 12", "y + 47"], ["y", "m + 20", "m + 67"], ["m", "g + 6", "g + 73"], ["g", "l + 20", "l + 93"], ["l", 11, "104"]], "target_var_name": "b", "target_value": 104, "value_dict": {"l": 11}, "is_reverse": true}} | 21,502 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = f + 19; f = l + 1; n = z + 2; i = n + 15; m = g + 6; u = q + 19; z = u + 3; g = l + 20; l = 11; a = s + 17; b = a + 18; y = m + 20; s = y + 12. If l = 11, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 104,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = s + 17 to b, which gives b = s + 35.\n2. Substitute s = y + 12 to b, which gives b = y + 47.\n3. Substitute y = m + 20 to b, which gives b = m + 67.\n4. Substitute m = g + 6 to b, which gives b = g + 73.\n5. Substitute g = l + 20 to b, which gives b = l + 93.\n6. Substitute l = 11 to b, which gives b = 104.\n\nThus, the final answer is b = \\boxed{104}.",
"index": 21502,
"question": "Consider a system of variables where each variable is defined as follows: q = f + 19; f = l + 1; n = z + 2; i = n + 15; m = g + 6; u = q + 19; z = u + 3; g = l + 20; l = 11; a = s + 17; b = a + 18; y = m + 20; s = y + 12. If l = 11, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"i": "q + 13", "a": "i + 11", "y": "a + 12", "v": "y + 6", "c": "v + 16", "o": "c + 20", "f": "q + 20", "b": "f + 4", "h": "b + 8", "m": "h + 13", "e": "m + 1", "l": "e + 16", "q": 12}, "premises": {"q": 12}, "target": "o"}, "answer": {"steps": [["c", "v + 16", "v + 36"], ["v", "y + 6", "y + 42"], ["y", "a + 12", "a + 54"], ["a", "i + 11", "i + 65"], ["i", "q + 13", "q + 78"], ["q", 12, "90"]], "target_var_name": "o", "target_value": 90, "value_dict": {"q": 12}, "is_reverse": true}} | 21,503 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = m + 1; i = q + 13; o = c + 20; b = f + 4; f = q + 20; a = i + 11; q = 12; h = b + 8; m = h + 13; v = y + 6; y = a + 12; l = e + 16; c = v + 16. If q = 12, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = v + 16 to o, which gives o = v + 36.\n2. Substitute v = y + 6 to o, which gives o = y + 42.\n3. Substitute y = a + 12 to o, which gives o = a + 54.\n4. Substitute a = i + 11 to o, which gives o = i + 65.\n5. Substitute i = q + 13 to o, which gives o = q + 78.\n6. Substitute q = 12 to o, which gives o = 90.\n\nThus, the final answer is o = \\boxed{90}.",
"index": 21503,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = m + 1; i = q + 13; o = c + 20; b = f + 4; f = q + 20; a = i + 11; q = 12; h = b + 8; m = h + 13; v = y + 6; y = a + 12; l = e + 16; c = v + 16. If q = 12, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"k": "v + 13", "q": "k + 20", "r": "q + 3", "j": "r + 20", "o": "j + 10", "x": "o + 14", "t": "v + 10", "g": "t + 5", "i": "g + 20", "e": "i + 2", "n": "e + 19", "d": "n + 5", "v": 12}, "premises": {"v": 12}, "target": "x"}, "answer": {"steps": [["o", "j + 10", "j + 24"], ["j", "r + 20", "r + 44"], ["r", "q + 3", "q + 47"], ["q", "k + 20", "k + 67"], ["k", "v + 13", "v + 80"], ["v", 12, "92"]], "target_var_name": "x", "target_value": 92, "value_dict": {"v": 12}, "is_reverse": true}} | 21,504 | 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 = t + 5; n = e + 19; x = o + 14; t = v + 10; e = i + 2; r = q + 3; q = k + 20; j = r + 20; v = 12; d = n + 5; k = v + 13; o = j + 10; i = g + 20. If v = 12, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = j + 10 to x, which gives x = j + 24.\n2. Substitute j = r + 20 to x, which gives x = r + 44.\n3. Substitute r = q + 3 to x, which gives x = q + 47.\n4. Substitute q = k + 20 to x, which gives x = k + 67.\n5. Substitute k = v + 13 to x, which gives x = v + 80.\n6. Substitute v = 12 to x, which gives x = 92.\n\nThus, the final answer is x = \\boxed{92}.",
"index": 21504,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = t + 5; n = e + 19; x = o + 14; t = v + 10; e = i + 2; r = q + 3; q = k + 20; j = r + 20; v = 12; d = n + 5; k = v + 13; o = j + 10; i = g + 20. If v = 12, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"t": "v + 17", "r": "t + 13", "x": "r + 15", "w": "x + 19", "j": "w + 8", "u": "j + 10", "k": "v + 14", "o": "k + 3", "h": "o + 8", "l": "h + 14", "g": "l + 5", "c": "g + 8", "v": 20}, "premises": {"v": 20}, "target": "u"}, "answer": {"steps": [["j", "w + 8", "w + 18"], ["w", "x + 19", "x + 37"], ["x", "r + 15", "r + 52"], ["r", "t + 13", "t + 65"], ["t", "v + 17", "v + 82"], ["v", 20, "102"]], "target_var_name": "u", "target_value": 102, "value_dict": {"v": 20}, "is_reverse": true}} | 21,505 | 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 = 20; o = k + 3; k = v + 14; h = o + 8; u = j + 10; l = h + 14; g = l + 5; x = r + 15; w = x + 19; c = g + 8; r = t + 13; j = w + 8; t = v + 17. If v = 20, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 102,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = w + 8 to u, which gives u = w + 18.\n2. Substitute w = x + 19 to u, which gives u = x + 37.\n3. Substitute x = r + 15 to u, which gives u = r + 52.\n4. Substitute r = t + 13 to u, which gives u = t + 65.\n5. Substitute t = v + 17 to u, which gives u = v + 82.\n6. Substitute v = 20 to u, which gives u = 102.\n\nThus, the final answer is u = \\boxed{102}.",
"index": 21505,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = 20; o = k + 3; k = v + 14; h = o + 8; u = j + 10; l = h + 14; g = l + 5; x = r + 15; w = x + 19; c = g + 8; r = t + 13; j = w + 8; t = v + 17. If v = 20, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"y": "w + 1", "r": "y + 14", "p": "r + 11", "k": "p + 5", "c": "k + 8", "i": "c + 1", "s": "w + 19", "n": "s + 17", "f": "n + 19", "g": "f + 2", "m": "g + 19", "q": "m + 5", "w": 4}, "premises": {"w": 4}, "target": "i"}, "answer": {"steps": [["c", "k + 8", "k + 9"], ["k", "p + 5", "p + 14"], ["p", "r + 11", "r + 25"], ["r", "y + 14", "y + 39"], ["y", "w + 1", "w + 40"], ["w", 4, "44"]], "target_var_name": "i", "target_value": 44, "value_dict": {"w": 4}, "is_reverse": true}} | 21,506 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = y + 14; k = p + 5; n = s + 17; s = w + 19; g = f + 2; y = w + 1; m = g + 19; i = c + 1; c = k + 8; q = m + 5; w = 4; f = n + 19; p = r + 11. If w = 4, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 44,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = k + 8 to i, which gives i = k + 9.\n2. Substitute k = p + 5 to i, which gives i = p + 14.\n3. Substitute p = r + 11 to i, which gives i = r + 25.\n4. Substitute r = y + 14 to i, which gives i = y + 39.\n5. Substitute y = w + 1 to i, which gives i = w + 40.\n6. Substitute w = 4 to i, which gives i = 44.\n\nThus, the final answer is i = \\boxed{44}.",
"index": 21506,
"question": "Consider a system of variables where each variable is defined as follows: r = y + 14; k = p + 5; n = s + 17; s = w + 19; g = f + 2; y = w + 1; m = g + 19; i = c + 1; c = k + 8; q = m + 5; w = 4; f = n + 19; p = r + 11. If w = 4, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"m": "k + 2", "z": "m + 5", "l": "z + 8", "s": "l + 20", "a": "s + 8", "e": "a + 1", "i": "k + 20", "u": "i + 1", "q": "u + 4", "b": "q + 12", "w": "b + 6", "n": "w + 5", "k": 9}, "premises": {"k": 9}, "target": "e"}, "answer": {"steps": [["a", "s + 8", "s + 9"], ["s", "l + 20", "l + 29"], ["l", "z + 8", "z + 37"], ["z", "m + 5", "m + 42"], ["m", "k + 2", "k + 44"], ["k", 9, "53"]], "target_var_name": "e", "target_value": 53, "value_dict": {"k": 9}, "is_reverse": true}} | 21,507 | 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 = i + 1; q = u + 4; e = a + 1; a = s + 8; l = z + 8; z = m + 5; b = q + 12; w = b + 6; s = l + 20; n = w + 5; i = k + 20; k = 9; m = k + 2. If k = 9, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = s + 8 to e, which gives e = s + 9.\n2. Substitute s = l + 20 to e, which gives e = l + 29.\n3. Substitute l = z + 8 to e, which gives e = z + 37.\n4. Substitute z = m + 5 to e, which gives e = m + 42.\n5. Substitute m = k + 2 to e, which gives e = k + 44.\n6. Substitute k = 9 to e, which gives e = 53.\n\nThus, the final answer is e = \\boxed{53}.",
"index": 21507,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = i + 1; q = u + 4; e = a + 1; a = s + 8; l = z + 8; z = m + 5; b = q + 12; w = b + 6; s = l + 20; n = w + 5; i = k + 20; k = 9; m = k + 2. If k = 9, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"j": "e + 17", "f": "j + 5", "x": "f + 17", "g": "x + 10", "d": "g + 9", "c": "d + 2", "q": "e + 1", "s": "q + 18", "v": "s + 7", "t": "v + 17", "k": "t + 8", "o": "k + 9", "e": 6}, "premises": {"e": 6}, "target": "c"}, "answer": {"steps": [["d", "g + 9", "g + 11"], ["g", "x + 10", "x + 21"], ["x", "f + 17", "f + 38"], ["f", "j + 5", "j + 43"], ["j", "e + 17", "e + 60"], ["e", 6, "66"]], "target_var_name": "c", "target_value": 66, "value_dict": {"e": 6}, "is_reverse": true}} | 21,508 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = g + 9; c = d + 2; x = f + 17; t = v + 17; s = q + 18; g = x + 10; o = k + 9; q = e + 1; e = 6; v = s + 7; f = j + 5; k = t + 8; j = e + 17. If e = 6, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = g + 9 to c, which gives c = g + 11.\n2. Substitute g = x + 10 to c, which gives c = x + 21.\n3. Substitute x = f + 17 to c, which gives c = f + 38.\n4. Substitute f = j + 5 to c, which gives c = j + 43.\n5. Substitute j = e + 17 to c, which gives c = e + 60.\n6. Substitute e = 6 to c, which gives c = 66.\n\nThus, the final answer is c = \\boxed{66}.",
"index": 21508,
"question": "Consider a system of variables where each variable is defined as follows: d = g + 9; c = d + 2; x = f + 17; t = v + 17; s = q + 18; g = x + 10; o = k + 9; q = e + 1; e = 6; v = s + 7; f = j + 5; k = t + 8; j = e + 17. If e = 6, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"a": "x + 6", "w": "a + 10", "j": "w + 5", "s": "j + 13", "n": "s + 13", "d": "n + 10", "v": "x + 8", "m": "v + 17", "k": "m + 19", "g": "k + 19", "t": "g + 4", "e": "t + 17", "x": 2}, "premises": {"x": 2}, "target": "d"}, "answer": {"steps": [["n", "s + 13", "s + 23"], ["s", "j + 13", "j + 36"], ["j", "w + 5", "w + 41"], ["w", "a + 10", "a + 51"], ["a", "x + 6", "x + 57"], ["x", 2, "59"]], "target_var_name": "d", "target_value": 59, "value_dict": {"x": 2}, "is_reverse": true}} | 21,509 | 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 = n + 10; x = 2; j = w + 5; k = m + 19; e = t + 17; w = a + 10; n = s + 13; g = k + 19; m = v + 17; v = x + 8; t = g + 4; a = x + 6; s = j + 13. If x = 2, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = s + 13 to d, which gives d = s + 23.\n2. Substitute s = j + 13 to d, which gives d = j + 36.\n3. Substitute j = w + 5 to d, which gives d = w + 41.\n4. Substitute w = a + 10 to d, which gives d = a + 51.\n5. Substitute a = x + 6 to d, which gives d = x + 57.\n6. Substitute x = 2 to d, which gives d = 59.\n\nThus, the final answer is d = \\boxed{59}.",
"index": 21509,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = n + 10; x = 2; j = w + 5; k = m + 19; e = t + 17; w = a + 10; n = s + 13; g = k + 19; m = v + 17; v = x + 8; t = g + 4; a = x + 6; s = j + 13. If x = 2, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"w": "u + 13", "h": "w + 8", "o": "h + 9", "t": "o + 18", "m": "t + 8", "y": "m + 17", "k": "u + 20", "i": "k + 5", "q": "i + 1", "b": "q + 3", "z": "b + 2", "d": "z + 5", "u": 4}, "premises": {"u": 4}, "target": "y"}, "answer": {"steps": [["m", "t + 8", "t + 25"], ["t", "o + 18", "o + 43"], ["o", "h + 9", "h + 52"], ["h", "w + 8", "w + 60"], ["w", "u + 13", "u + 73"], ["u", 4, "77"]], "target_var_name": "y", "target_value": 77, "value_dict": {"u": 4}, "is_reverse": true}} | 21,510 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = k + 5; b = q + 3; z = b + 2; h = w + 8; m = t + 8; w = u + 13; d = z + 5; o = h + 9; k = u + 20; y = m + 17; q = i + 1; t = o + 18; u = 4. If u = 4, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = t + 8 to y, which gives y = t + 25.\n2. Substitute t = o + 18 to y, which gives y = o + 43.\n3. Substitute o = h + 9 to y, which gives y = h + 52.\n4. Substitute h = w + 8 to y, which gives y = w + 60.\n5. Substitute w = u + 13 to y, which gives y = u + 73.\n6. Substitute u = 4 to y, which gives y = 77.\n\nThus, the final answer is y = \\boxed{77}.",
"index": 21510,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = k + 5; b = q + 3; z = b + 2; h = w + 8; m = t + 8; w = u + 13; d = z + 5; o = h + 9; k = u + 20; y = m + 17; q = i + 1; t = o + 18; u = 4. If u = 4, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"j": "e + 8", "i": "j + 20", "y": "i + 9", "b": "y + 3", "k": "b + 8", "v": "k + 9", "z": "e + 8", "o": "z + 6", "m": "o + 13", "q": "m + 12", "c": "q + 18", "r": "c + 19", "e": 12}, "premises": {"e": 12}, "target": "v"}, "answer": {"steps": [["k", "b + 8", "b + 17"], ["b", "y + 3", "y + 20"], ["y", "i + 9", "i + 29"], ["i", "j + 20", "j + 49"], ["j", "e + 8", "e + 57"], ["e", 12, "69"]], "target_var_name": "v", "target_value": 69, "value_dict": {"e": 12}, "is_reverse": true}} | 21,511 | 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 = y + 3; k = b + 8; j = e + 8; v = k + 9; y = i + 9; i = j + 20; m = o + 13; z = e + 8; r = c + 19; e = 12; o = z + 6; c = q + 18; q = m + 12. If e = 12, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = b + 8 to v, which gives v = b + 17.\n2. Substitute b = y + 3 to v, which gives v = y + 20.\n3. Substitute y = i + 9 to v, which gives v = i + 29.\n4. Substitute i = j + 20 to v, which gives v = j + 49.\n5. Substitute j = e + 8 to v, which gives v = e + 57.\n6. Substitute e = 12 to v, which gives v = 69.\n\nThus, the final answer is v = \\boxed{69}.",
"index": 21511,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = y + 3; k = b + 8; j = e + 8; v = k + 9; y = i + 9; i = j + 20; m = o + 13; z = e + 8; r = c + 19; e = 12; o = z + 6; c = q + 18; q = m + 12. If e = 12, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"e": "x + 13", "c": "e + 8", "d": "c + 6", "a": "d + 9", "k": "a + 17", "y": "k + 14", "h": "x + 12", "j": "h + 8", "m": "j + 17", "o": "m + 14", "l": "o + 14", "f": "l + 18", "x": 10}, "premises": {"x": 10}, "target": "y"}, "answer": {"steps": [["k", "a + 17", "a + 31"], ["a", "d + 9", "d + 40"], ["d", "c + 6", "c + 46"], ["c", "e + 8", "e + 54"], ["e", "x + 13", "x + 67"], ["x", 10, "77"]], "target_var_name": "y", "target_value": 77, "value_dict": {"x": 10}, "is_reverse": true}} | 21,512 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = l + 18; j = h + 8; c = e + 8; a = d + 9; d = c + 6; k = a + 17; y = k + 14; l = o + 14; x = 10; m = j + 17; o = m + 14; h = x + 12; e = x + 13. If x = 10, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = a + 17 to y, which gives y = a + 31.\n2. Substitute a = d + 9 to y, which gives y = d + 40.\n3. Substitute d = c + 6 to y, which gives y = c + 46.\n4. Substitute c = e + 8 to y, which gives y = e + 54.\n5. Substitute e = x + 13 to y, which gives y = x + 67.\n6. Substitute x = 10 to y, which gives y = 77.\n\nThus, the final answer is y = \\boxed{77}.",
"index": 21512,
"question": "Consider a system of variables where each variable is defined as follows: f = l + 18; j = h + 8; c = e + 8; a = d + 9; d = c + 6; k = a + 17; y = k + 14; l = o + 14; x = 10; m = j + 17; o = m + 14; h = x + 12; e = x + 13. If x = 10, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"m": "e + 7", "p": "m + 6", "n": "p + 19", "u": "n + 2", "g": "u + 7", "o": "g + 16", "s": "e + 17", "h": "s + 4", "z": "h + 3", "w": "z + 2", "f": "w + 7", "a": "f + 10", "e": 13}, "premises": {"e": 13}, "target": "o"}, "answer": {"steps": [["g", "u + 7", "u + 23"], ["u", "n + 2", "n + 25"], ["n", "p + 19", "p + 44"], ["p", "m + 6", "m + 50"], ["m", "e + 7", "e + 57"], ["e", 13, "70"]], "target_var_name": "o", "target_value": 70, "value_dict": {"e": 13}, "is_reverse": true}} | 21,513 | 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 = f + 10; e = 13; p = m + 6; z = h + 3; u = n + 2; n = p + 19; w = z + 2; s = e + 17; h = s + 4; g = u + 7; f = w + 7; o = g + 16; m = e + 7. If e = 13, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = u + 7 to o, which gives o = u + 23.\n2. Substitute u = n + 2 to o, which gives o = n + 25.\n3. Substitute n = p + 19 to o, which gives o = p + 44.\n4. Substitute p = m + 6 to o, which gives o = m + 50.\n5. Substitute m = e + 7 to o, which gives o = e + 57.\n6. Substitute e = 13 to o, which gives o = 70.\n\nThus, the final answer is o = \\boxed{70}.",
"index": 21513,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = f + 10; e = 13; p = m + 6; z = h + 3; u = n + 2; n = p + 19; w = z + 2; s = e + 17; h = s + 4; g = u + 7; f = w + 7; o = g + 16; m = e + 7. If e = 13, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"k": "w + 15", "g": "k + 11", "a": "g + 1", "c": "a + 13", "f": "c + 4", "o": "f + 19", "l": "w + 11", "d": "l + 8", "u": "d + 9", "t": "u + 6", "s": "t + 5", "x": "s + 10", "w": 6}, "premises": {"w": 6}, "target": "o"}, "answer": {"steps": [["f", "c + 4", "c + 23"], ["c", "a + 13", "a + 36"], ["a", "g + 1", "g + 37"], ["g", "k + 11", "k + 48"], ["k", "w + 15", "w + 63"], ["w", 6, "69"]], "target_var_name": "o", "target_value": 69, "value_dict": {"w": 6}, "is_reverse": true}} | 21,514 | 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 = s + 10; k = w + 15; t = u + 6; c = a + 13; w = 6; f = c + 4; l = w + 11; s = t + 5; u = d + 9; a = g + 1; o = f + 19; g = k + 11; d = l + 8. If w = 6, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = c + 4 to o, which gives o = c + 23.\n2. Substitute c = a + 13 to o, which gives o = a + 36.\n3. Substitute a = g + 1 to o, which gives o = g + 37.\n4. Substitute g = k + 11 to o, which gives o = k + 48.\n5. Substitute k = w + 15 to o, which gives o = w + 63.\n6. Substitute w = 6 to o, which gives o = 69.\n\nThus, the final answer is o = \\boxed{69}.",
"index": 21514,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = s + 10; k = w + 15; t = u + 6; c = a + 13; w = 6; f = c + 4; l = w + 11; s = t + 5; u = d + 9; a = g + 1; o = f + 19; g = k + 11; d = l + 8. If w = 6, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"g": "j + 19", "t": "g + 5", "z": "t + 13", "r": "z + 7", "i": "r + 9", "a": "i + 13", "l": "j + 2", "b": "l + 4", "p": "b + 17", "f": "p + 5", "w": "f + 17", "q": "w + 1", "j": 18}, "premises": {"j": 18}, "target": "a"}, "answer": {"steps": [["i", "r + 9", "r + 22"], ["r", "z + 7", "z + 29"], ["z", "t + 13", "t + 42"], ["t", "g + 5", "g + 47"], ["g", "j + 19", "j + 66"], ["j", 18, "84"]], "target_var_name": "a", "target_value": 84, "value_dict": {"j": 18}, "is_reverse": true}} | 21,515 | 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 = 18; z = t + 13; l = j + 2; p = b + 17; r = z + 7; f = p + 5; a = i + 13; t = g + 5; w = f + 17; q = w + 1; b = l + 4; g = j + 19; i = r + 9. If j = 18, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = r + 9 to a, which gives a = r + 22.\n2. Substitute r = z + 7 to a, which gives a = z + 29.\n3. Substitute z = t + 13 to a, which gives a = t + 42.\n4. Substitute t = g + 5 to a, which gives a = g + 47.\n5. Substitute g = j + 19 to a, which gives a = j + 66.\n6. Substitute j = 18 to a, which gives a = 84.\n\nThus, the final answer is a = \\boxed{84}.",
"index": 21515,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = 18; z = t + 13; l = j + 2; p = b + 17; r = z + 7; f = p + 5; a = i + 13; t = g + 5; w = f + 17; q = w + 1; b = l + 4; g = j + 19; i = r + 9. If j = 18, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"o": "j + 12", "h": "o + 19", "z": "h + 1", "b": "z + 10", "x": "b + 16", "l": "x + 8", "c": "j + 14", "g": "c + 5", "r": "g + 1", "y": "r + 9", "u": "y + 11", "t": "u + 10", "j": 16}, "premises": {"j": 16}, "target": "l"}, "answer": {"steps": [["x", "b + 16", "b + 24"], ["b", "z + 10", "z + 34"], ["z", "h + 1", "h + 35"], ["h", "o + 19", "o + 54"], ["o", "j + 12", "j + 66"], ["j", 16, "82"]], "target_var_name": "l", "target_value": 82, "value_dict": {"j": 16}, "is_reverse": true}} | 21,516 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = y + 11; r = g + 1; c = j + 14; g = c + 5; h = o + 19; j = 16; l = x + 8; t = u + 10; z = h + 1; x = b + 16; y = r + 9; o = j + 12; b = z + 10. If j = 16, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = b + 16 to l, which gives l = b + 24.\n2. Substitute b = z + 10 to l, which gives l = z + 34.\n3. Substitute z = h + 1 to l, which gives l = h + 35.\n4. Substitute h = o + 19 to l, which gives l = o + 54.\n5. Substitute o = j + 12 to l, which gives l = j + 66.\n6. Substitute j = 16 to l, which gives l = 82.\n\nThus, the final answer is l = \\boxed{82}.",
"index": 21516,
"question": "Consider a system of variables where each variable is defined as follows: u = y + 11; r = g + 1; c = j + 14; g = c + 5; h = o + 19; j = 16; l = x + 8; t = u + 10; z = h + 1; x = b + 16; y = r + 9; o = j + 12; b = z + 10. If j = 16, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"z": "q + 11", "r": "z + 9", "a": "r + 17", "c": "a + 9", "j": "c + 8", "s": "j + 19", "g": "q + 7", "h": "g + 15", "w": "h + 18", "x": "w + 19", "n": "x + 4", "b": "n + 8", "q": 3}, "premises": {"q": 3}, "target": "s"}, "answer": {"steps": [["j", "c + 8", "c + 27"], ["c", "a + 9", "a + 36"], ["a", "r + 17", "r + 53"], ["r", "z + 9", "z + 62"], ["z", "q + 11", "q + 73"], ["q", 3, "76"]], "target_var_name": "s", "target_value": 76, "value_dict": {"q": 3}, "is_reverse": true}} | 21,517 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = z + 9; s = j + 19; b = n + 8; c = a + 9; x = w + 19; n = x + 4; h = g + 15; j = c + 8; q = 3; z = q + 11; a = r + 17; w = h + 18; g = q + 7. If q = 3, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = c + 8 to s, which gives s = c + 27.\n2. Substitute c = a + 9 to s, which gives s = a + 36.\n3. Substitute a = r + 17 to s, which gives s = r + 53.\n4. Substitute r = z + 9 to s, which gives s = z + 62.\n5. Substitute z = q + 11 to s, which gives s = q + 73.\n6. Substitute q = 3 to s, which gives s = 76.\n\nThus, the final answer is s = \\boxed{76}.",
"index": 21517,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = z + 9; s = j + 19; b = n + 8; c = a + 9; x = w + 19; n = x + 4; h = g + 15; j = c + 8; q = 3; z = q + 11; a = r + 17; w = h + 18; g = q + 7. If q = 3, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"v": "f + 13", "w": "v + 10", "g": "w + 20", "q": "g + 13", "i": "q + 19", "a": "i + 5", "m": "f + 16", "n": "m + 9", "t": "n + 4", "z": "t + 4", "e": "z + 14", "p": "e + 3", "f": 12}, "premises": {"f": 12}, "target": "a"}, "answer": {"steps": [["i", "q + 19", "q + 24"], ["q", "g + 13", "g + 37"], ["g", "w + 20", "w + 57"], ["w", "v + 10", "v + 67"], ["v", "f + 13", "f + 80"], ["f", 12, "92"]], "target_var_name": "a", "target_value": 92, "value_dict": {"f": 12}, "is_reverse": true}} | 21,518 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = e + 3; q = g + 13; n = m + 9; g = w + 20; f = 12; e = z + 14; w = v + 10; m = f + 16; v = f + 13; t = n + 4; a = i + 5; i = q + 19; z = t + 4. If f = 12, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = q + 19 to a, which gives a = q + 24.\n2. Substitute q = g + 13 to a, which gives a = g + 37.\n3. Substitute g = w + 20 to a, which gives a = w + 57.\n4. Substitute w = v + 10 to a, which gives a = v + 67.\n5. Substitute v = f + 13 to a, which gives a = f + 80.\n6. Substitute f = 12 to a, which gives a = 92.\n\nThus, the final answer is a = \\boxed{92}.",
"index": 21518,
"question": "Consider a system of variables where each variable is defined as follows: p = e + 3; q = g + 13; n = m + 9; g = w + 20; f = 12; e = z + 14; w = v + 10; m = f + 16; v = f + 13; t = n + 4; a = i + 5; i = q + 19; z = t + 4. If f = 12, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"k": "g + 3", "q": "k + 12", "v": "q + 13", "h": "v + 10", "f": "h + 7", "d": "f + 2", "n": "g + 3", "l": "n + 1", "o": "l + 5", "s": "o + 9", "m": "s + 15", "u": "m + 17", "g": 9}, "premises": {"g": 9}, "target": "d"}, "answer": {"steps": [["f", "h + 7", "h + 9"], ["h", "v + 10", "v + 19"], ["v", "q + 13", "q + 32"], ["q", "k + 12", "k + 44"], ["k", "g + 3", "g + 47"], ["g", 9, "56"]], "target_var_name": "d", "target_value": 56, "value_dict": {"g": 9}, "is_reverse": true}} | 21,519 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = v + 10; n = g + 3; d = f + 2; o = l + 5; q = k + 12; s = o + 9; f = h + 7; u = m + 17; k = g + 3; g = 9; m = s + 15; v = q + 13; l = n + 1. If g = 9, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = h + 7 to d, which gives d = h + 9.\n2. Substitute h = v + 10 to d, which gives d = v + 19.\n3. Substitute v = q + 13 to d, which gives d = q + 32.\n4. Substitute q = k + 12 to d, which gives d = k + 44.\n5. Substitute k = g + 3 to d, which gives d = g + 47.\n6. Substitute g = 9 to d, which gives d = 56.\n\nThus, the final answer is d = \\boxed{56}.",
"index": 21519,
"question": "Consider a system of variables where each variable is defined as follows: h = v + 10; n = g + 3; d = f + 2; o = l + 5; q = k + 12; s = o + 9; f = h + 7; u = m + 17; k = g + 3; g = 9; m = s + 15; v = q + 13; l = n + 1. If g = 9, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"j": "h + 9", "e": "j + 12", "a": "e + 2", "r": "a + 13", "w": "r + 4", "f": "w + 12", "x": "h + 2", "n": "x + 11", "k": "n + 5", "m": "k + 9", "v": "m + 12", "c": "v + 17", "h": 11}, "premises": {"h": 11}, "target": "f"}, "answer": {"steps": [["w", "r + 4", "r + 16"], ["r", "a + 13", "a + 29"], ["a", "e + 2", "e + 31"], ["e", "j + 12", "j + 43"], ["j", "h + 9", "h + 52"], ["h", 11, "63"]], "target_var_name": "f", "target_value": 63, "value_dict": {"h": 11}, "is_reverse": true}} | 21,520 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = v + 17; x = h + 2; m = k + 9; a = e + 2; w = r + 4; r = a + 13; k = n + 5; v = m + 12; e = j + 12; f = w + 12; h = 11; j = h + 9; n = x + 11. If h = 11, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = r + 4 to f, which gives f = r + 16.\n2. Substitute r = a + 13 to f, which gives f = a + 29.\n3. Substitute a = e + 2 to f, which gives f = e + 31.\n4. Substitute e = j + 12 to f, which gives f = j + 43.\n5. Substitute j = h + 9 to f, which gives f = h + 52.\n6. Substitute h = 11 to f, which gives f = 63.\n\nThus, the final answer is f = \\boxed{63}.",
"index": 21520,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = v + 17; x = h + 2; m = k + 9; a = e + 2; w = r + 4; r = a + 13; k = n + 5; v = m + 12; e = j + 12; f = w + 12; h = 11; j = h + 9; n = x + 11. If h = 11, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"t": "h + 17", "d": "t + 2", "b": "d + 10", "k": "b + 3", "q": "k + 15", "l": "q + 19", "j": "h + 4", "z": "j + 11", "r": "z + 16", "n": "r + 12", "x": "n + 3", "g": "x + 18", "h": 17}, "premises": {"h": 17}, "target": "l"}, "answer": {"steps": [["q", "k + 15", "k + 34"], ["k", "b + 3", "b + 37"], ["b", "d + 10", "d + 47"], ["d", "t + 2", "t + 49"], ["t", "h + 17", "h + 66"], ["h", 17, "83"]], "target_var_name": "l", "target_value": 83, "value_dict": {"h": 17}, "is_reverse": true}} | 21,521 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = d + 10; l = q + 19; d = t + 2; k = b + 3; r = z + 16; g = x + 18; q = k + 15; n = r + 12; j = h + 4; t = h + 17; h = 17; z = j + 11; x = n + 3. If h = 17, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = k + 15 to l, which gives l = k + 34.\n2. Substitute k = b + 3 to l, which gives l = b + 37.\n3. Substitute b = d + 10 to l, which gives l = d + 47.\n4. Substitute d = t + 2 to l, which gives l = t + 49.\n5. Substitute t = h + 17 to l, which gives l = h + 66.\n6. Substitute h = 17 to l, which gives l = 83.\n\nThus, the final answer is l = \\boxed{83}.",
"index": 21521,
"question": "Consider a system of variables where each variable is defined as follows: b = d + 10; l = q + 19; d = t + 2; k = b + 3; r = z + 16; g = x + 18; q = k + 15; n = r + 12; j = h + 4; t = h + 17; h = 17; z = j + 11; x = n + 3. If h = 17, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"a": "v + 13", "q": "a + 18", "l": "q + 7", "w": "l + 14", "t": "w + 11", "f": "t + 15", "s": "v + 14", "x": "s + 19", "h": "x + 7", "g": "h + 18", "n": "g + 15", "d": "n + 12", "v": 3}, "premises": {"v": 3}, "target": "f"}, "answer": {"steps": [["t", "w + 11", "w + 26"], ["w", "l + 14", "l + 40"], ["l", "q + 7", "q + 47"], ["q", "a + 18", "a + 65"], ["a", "v + 13", "v + 78"], ["v", 3, "81"]], "target_var_name": "f", "target_value": 81, "value_dict": {"v": 3}, "is_reverse": true}} | 21,522 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = h + 18; l = q + 7; x = s + 19; h = x + 7; v = 3; d = n + 12; f = t + 15; w = l + 14; n = g + 15; s = v + 14; a = v + 13; t = w + 11; q = a + 18. Given that v = 3, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = w + 11 to f, which gives f = w + 26.\n2. Substitute w = l + 14 to f, which gives f = l + 40.\n3. Substitute l = q + 7 to f, which gives f = q + 47.\n4. Substitute q = a + 18 to f, which gives f = a + 65.\n5. Substitute a = v + 13 to f, which gives f = v + 78.\n6. Substitute v = 3 to f, which gives f = 81.\n\nThus, the final answer is f = \\boxed{81}.",
"index": 21522,
"question": "Suppose a collection of variables is related by the following definitions: g = h + 18; l = q + 7; x = s + 19; h = x + 7; v = 3; d = n + 12; f = t + 15; w = l + 14; n = g + 15; s = v + 14; a = v + 13; t = w + 11; q = a + 18. Given that v = 3, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"u": "k + 5", "d": "u + 10", "c": "d + 14", "z": "c + 11", "v": "z + 14", "e": "v + 11", "i": "k + 19", "l": "i + 12", "a": "l + 13", "q": "a + 17", "w": "q + 11", "m": "w + 18", "k": 16}, "premises": {"k": 16}, "target": "e"}, "answer": {"steps": [["v", "z + 14", "z + 25"], ["z", "c + 11", "c + 36"], ["c", "d + 14", "d + 50"], ["d", "u + 10", "u + 60"], ["u", "k + 5", "k + 65"], ["k", 16, "81"]], "target_var_name": "e", "target_value": 81, "value_dict": {"k": 16}, "is_reverse": true}} | 21,523 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = k + 19; d = u + 10; l = i + 12; e = v + 11; u = k + 5; q = a + 17; w = q + 11; k = 16; v = z + 14; a = l + 13; z = c + 11; c = d + 14; m = w + 18. Given that k = 16, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = z + 14 to e, which gives e = z + 25.\n2. Substitute z = c + 11 to e, which gives e = c + 36.\n3. Substitute c = d + 14 to e, which gives e = d + 50.\n4. Substitute d = u + 10 to e, which gives e = u + 60.\n5. Substitute u = k + 5 to e, which gives e = k + 65.\n6. Substitute k = 16 to e, which gives e = 81.\n\nThus, the final answer is e = \\boxed{81}.",
"index": 21523,
"question": "Suppose a collection of variables is related by the following definitions: i = k + 19; d = u + 10; l = i + 12; e = v + 11; u = k + 5; q = a + 17; w = q + 11; k = 16; v = z + 14; a = l + 13; z = c + 11; c = d + 14; m = w + 18. Given that k = 16, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"k": "y + 10", "u": "k + 7", "l": "u + 19", "m": "l + 16", "i": "m + 8", "f": "i + 6", "q": "y + 2", "p": "q + 16", "a": "p + 4", "v": "a + 7", "h": "v + 2", "r": "h + 11", "y": 2}, "premises": {"y": 2}, "target": "f"}, "answer": {"steps": [["i", "m + 8", "m + 14"], ["m", "l + 16", "l + 30"], ["l", "u + 19", "u + 49"], ["u", "k + 7", "k + 56"], ["k", "y + 10", "y + 66"], ["y", 2, "68"]], "target_var_name": "f", "target_value": 68, "value_dict": {"y": 2}, "is_reverse": true}} | 21,524 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = y + 2; k = y + 10; l = u + 19; a = p + 4; p = q + 16; y = 2; f = i + 6; m = l + 16; v = a + 7; h = v + 2; i = m + 8; r = h + 11; u = k + 7. Given that y = 2, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = m + 8 to f, which gives f = m + 14.\n2. Substitute m = l + 16 to f, which gives f = l + 30.\n3. Substitute l = u + 19 to f, which gives f = u + 49.\n4. Substitute u = k + 7 to f, which gives f = k + 56.\n5. Substitute k = y + 10 to f, which gives f = y + 66.\n6. Substitute y = 2 to f, which gives f = 68.\n\nThus, the final answer is f = \\boxed{68}.",
"index": 21524,
"question": "Suppose a collection of variables is related by the following definitions: q = y + 2; k = y + 10; l = u + 19; a = p + 4; p = q + 16; y = 2; f = i + 6; m = l + 16; v = a + 7; h = v + 2; i = m + 8; r = h + 11; u = k + 7. Given that y = 2, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"m": "t + 16", "z": "m + 11", "x": "z + 15", "r": "x + 20", "w": "r + 12", "j": "w + 15", "a": "t + 2", "h": "a + 9", "f": "h + 6", "e": "f + 20", "i": "e + 15", "b": "i + 9", "t": 8}, "premises": {"t": 8}, "target": "j"}, "answer": {"steps": [["w", "r + 12", "r + 27"], ["r", "x + 20", "x + 47"], ["x", "z + 15", "z + 62"], ["z", "m + 11", "m + 73"], ["m", "t + 16", "t + 89"], ["t", 8, "97"]], "target_var_name": "j", "target_value": 97, "value_dict": {"t": 8}, "is_reverse": true}} | 21,525 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = z + 15; f = h + 6; w = r + 12; m = t + 16; b = i + 9; a = t + 2; h = a + 9; t = 8; z = m + 11; i = e + 15; j = w + 15; r = x + 20; e = f + 20. If t = 8, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = r + 12 to j, which gives j = r + 27.\n2. Substitute r = x + 20 to j, which gives j = x + 47.\n3. Substitute x = z + 15 to j, which gives j = z + 62.\n4. Substitute z = m + 11 to j, which gives j = m + 73.\n5. Substitute m = t + 16 to j, which gives j = t + 89.\n6. Substitute t = 8 to j, which gives j = 97.\n\nThus, the final answer is j = \\boxed{97}.",
"index": 21525,
"question": "Consider a system of variables where each variable is defined as follows: x = z + 15; f = h + 6; w = r + 12; m = t + 16; b = i + 9; a = t + 2; h = a + 9; t = 8; z = m + 11; i = e + 15; j = w + 15; r = x + 20; e = f + 20. If t = 8, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"t": "z + 15", "x": "t + 11", "e": "x + 3", "o": "e + 18", "j": "o + 15", "n": "j + 12", "v": "z + 5", "b": "v + 19", "r": "b + 12", "i": "r + 17", "y": "i + 15", "d": "y + 17", "z": 20}, "premises": {"z": 20}, "target": "n"}, "answer": {"steps": [["j", "o + 15", "o + 27"], ["o", "e + 18", "e + 45"], ["e", "x + 3", "x + 48"], ["x", "t + 11", "t + 59"], ["t", "z + 15", "z + 74"], ["z", 20, "94"]], "target_var_name": "n", "target_value": 94, "value_dict": {"z": 20}, "is_reverse": true}} | 21,526 | 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 + 5; y = i + 15; e = x + 3; j = o + 15; n = j + 12; i = r + 17; o = e + 18; t = z + 15; r = b + 12; z = 20; b = v + 19; x = t + 11; d = y + 17. If z = 20, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = o + 15 to n, which gives n = o + 27.\n2. Substitute o = e + 18 to n, which gives n = e + 45.\n3. Substitute e = x + 3 to n, which gives n = x + 48.\n4. Substitute x = t + 11 to n, which gives n = t + 59.\n5. Substitute t = z + 15 to n, which gives n = z + 74.\n6. Substitute z = 20 to n, which gives n = 94.\n\nThus, the final answer is n = \\boxed{94}.",
"index": 21526,
"question": "Consider a system of variables where each variable is defined as follows: v = z + 5; y = i + 15; e = x + 3; j = o + 15; n = j + 12; i = r + 17; o = e + 18; t = z + 15; r = b + 12; z = 20; b = v + 19; x = t + 11; d = y + 17. If z = 20, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"z": "u + 12", "p": "z + 16", "w": "p + 17", "o": "w + 6", "n": "o + 4", "k": "n + 3", "g": "u + 18", "i": "g + 17", "q": "i + 17", "h": "q + 16", "m": "h + 7", "e": "m + 7", "u": 2}, "premises": {"u": 2}, "target": "k"}, "answer": {"steps": [["n", "o + 4", "o + 7"], ["o", "w + 6", "w + 13"], ["w", "p + 17", "p + 30"], ["p", "z + 16", "z + 46"], ["z", "u + 12", "u + 58"], ["u", 2, "60"]], "target_var_name": "k", "target_value": 60, "value_dict": {"u": 2}, "is_reverse": true}} | 21,527 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = u + 18; p = z + 16; q = i + 17; h = q + 16; z = u + 12; k = n + 3; i = g + 17; m = h + 7; e = m + 7; o = w + 6; w = p + 17; u = 2; n = o + 4. If u = 2, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = o + 4 to k, which gives k = o + 7.\n2. Substitute o = w + 6 to k, which gives k = w + 13.\n3. Substitute w = p + 17 to k, which gives k = p + 30.\n4. Substitute p = z + 16 to k, which gives k = z + 46.\n5. Substitute z = u + 12 to k, which gives k = u + 58.\n6. Substitute u = 2 to k, which gives k = 60.\n\nThus, the final answer is k = \\boxed{60}.",
"index": 21527,
"question": "Consider a system of variables where each variable is defined as follows: g = u + 18; p = z + 16; q = i + 17; h = q + 16; z = u + 12; k = n + 3; i = g + 17; m = h + 7; e = m + 7; o = w + 6; w = p + 17; u = 2; n = o + 4. If u = 2, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"l": "u + 13", "r": "l + 7", "k": "r + 4", "c": "k + 7", "e": "c + 19", "q": "e + 16", "n": "u + 6", "f": "n + 9", "g": "f + 11", "h": "g + 2", "b": "h + 15", "m": "b + 14", "u": 11}, "premises": {"u": 11}, "target": "q"}, "answer": {"steps": [["e", "c + 19", "c + 35"], ["c", "k + 7", "k + 42"], ["k", "r + 4", "r + 46"], ["r", "l + 7", "l + 53"], ["l", "u + 13", "u + 66"], ["u", 11, "77"]], "target_var_name": "q", "target_value": 77, "value_dict": {"u": 11}, "is_reverse": true}} | 21,528 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = c + 19; k = r + 4; f = n + 9; h = g + 2; g = f + 11; n = u + 6; r = l + 7; m = b + 14; c = k + 7; q = e + 16; b = h + 15; l = u + 13; u = 11. If u = 11, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = c + 19 to q, which gives q = c + 35.\n2. Substitute c = k + 7 to q, which gives q = k + 42.\n3. Substitute k = r + 4 to q, which gives q = r + 46.\n4. Substitute r = l + 7 to q, which gives q = l + 53.\n5. Substitute l = u + 13 to q, which gives q = u + 66.\n6. Substitute u = 11 to q, which gives q = 77.\n\nThus, the final answer is q = \\boxed{77}.",
"index": 21528,
"question": "Consider a system of variables where each variable is defined as follows: e = c + 19; k = r + 4; f = n + 9; h = g + 2; g = f + 11; n = u + 6; r = l + 7; m = b + 14; c = k + 7; q = e + 16; b = h + 15; l = u + 13; u = 11. If u = 11, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"x": "g + 7", "p": "x + 6", "j": "p + 14", "z": "j + 14", "u": "z + 19", "l": "u + 7", "a": "g + 20", "o": "a + 6", "w": "o + 6", "v": "w + 1", "b": "v + 7", "f": "b + 2", "g": 15}, "premises": {"g": 15}, "target": "l"}, "answer": {"steps": [["u", "z + 19", "z + 26"], ["z", "j + 14", "j + 40"], ["j", "p + 14", "p + 54"], ["p", "x + 6", "x + 60"], ["x", "g + 7", "g + 67"], ["g", 15, "82"]], "target_var_name": "l", "target_value": 82, "value_dict": {"g": 15}, "is_reverse": true}} | 21,529 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = x + 6; w = o + 6; z = j + 14; f = b + 2; b = v + 7; o = a + 6; l = u + 7; a = g + 20; u = z + 19; v = w + 1; j = p + 14; x = g + 7; g = 15. If g = 15, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = z + 19 to l, which gives l = z + 26.\n2. Substitute z = j + 14 to l, which gives l = j + 40.\n3. Substitute j = p + 14 to l, which gives l = p + 54.\n4. Substitute p = x + 6 to l, which gives l = x + 60.\n5. Substitute x = g + 7 to l, which gives l = g + 67.\n6. Substitute g = 15 to l, which gives l = 82.\n\nThus, the final answer is l = \\boxed{82}.",
"index": 21529,
"question": "Consider a system of variables where each variable is defined as follows: p = x + 6; w = o + 6; z = j + 14; f = b + 2; b = v + 7; o = a + 6; l = u + 7; a = g + 20; u = z + 19; v = w + 1; j = p + 14; x = g + 7; g = 15. If g = 15, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"m": "j + 2", "c": "m + 17", "v": "c + 17", "i": "v + 15", "r": "i + 13", "t": "r + 14", "h": "j + 14", "p": "h + 11", "x": "p + 1", "w": "x + 8", "d": "w + 2", "k": "d + 13", "j": 19}, "premises": {"j": 19}, "target": "t"}, "answer": {"steps": [["r", "i + 13", "i + 27"], ["i", "v + 15", "v + 42"], ["v", "c + 17", "c + 59"], ["c", "m + 17", "m + 76"], ["m", "j + 2", "j + 78"], ["j", 19, "97"]], "target_var_name": "t", "target_value": 97, "value_dict": {"j": 19}, "is_reverse": true}} | 21,530 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = r + 14; c = m + 17; d = w + 2; m = j + 2; x = p + 1; h = j + 14; i = v + 15; w = x + 8; v = c + 17; p = h + 11; j = 19; r = i + 13; k = d + 13. Given that j = 19, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = i + 13 to t, which gives t = i + 27.\n2. Substitute i = v + 15 to t, which gives t = v + 42.\n3. Substitute v = c + 17 to t, which gives t = c + 59.\n4. Substitute c = m + 17 to t, which gives t = m + 76.\n5. Substitute m = j + 2 to t, which gives t = j + 78.\n6. Substitute j = 19 to t, which gives t = 97.\n\nThus, the final answer is t = \\boxed{97}.",
"index": 21530,
"question": "Suppose a collection of variables is related by the following definitions: t = r + 14; c = m + 17; d = w + 2; m = j + 2; x = p + 1; h = j + 14; i = v + 15; w = x + 8; v = c + 17; p = h + 11; j = 19; r = i + 13; k = d + 13. Given that j = 19, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"r": "g + 16", "v": "r + 4", "k": "v + 16", "j": "k + 7", "l": "j + 1", "p": "l + 2", "s": "g + 6", "e": "s + 6", "y": "e + 1", "h": "y + 16", "x": "h + 7", "m": "x + 6", "g": 6}, "premises": {"g": 6}, "target": "p"}, "answer": {"steps": [["l", "j + 1", "j + 3"], ["j", "k + 7", "k + 10"], ["k", "v + 16", "v + 26"], ["v", "r + 4", "r + 30"], ["r", "g + 16", "g + 46"], ["g", 6, "52"]], "target_var_name": "p", "target_value": 52, "value_dict": {"g": 6}, "is_reverse": true}} | 21,531 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = e + 1; s = g + 6; v = r + 4; j = k + 7; m = x + 6; g = 6; r = g + 16; k = v + 16; e = s + 6; l = j + 1; x = h + 7; p = l + 2; h = y + 16. If g = 6, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = j + 1 to p, which gives p = j + 3.\n2. Substitute j = k + 7 to p, which gives p = k + 10.\n3. Substitute k = v + 16 to p, which gives p = v + 26.\n4. Substitute v = r + 4 to p, which gives p = r + 30.\n5. Substitute r = g + 16 to p, which gives p = g + 46.\n6. Substitute g = 6 to p, which gives p = 52.\n\nThus, the final answer is p = \\boxed{52}.",
"index": 21531,
"question": "Consider a system of variables where each variable is defined as follows: y = e + 1; s = g + 6; v = r + 4; j = k + 7; m = x + 6; g = 6; r = g + 16; k = v + 16; e = s + 6; l = j + 1; x = h + 7; p = l + 2; h = y + 16. If g = 6, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"t": "u + 6", "n": "t + 1", "w": "n + 4", "j": "w + 13", "q": "j + 7", "l": "q + 5", "m": "u + 7", "p": "m + 20", "c": "p + 8", "d": "c + 10", "g": "d + 2", "v": "g + 3", "u": 2}, "premises": {"u": 2}, "target": "l"}, "answer": {"steps": [["q", "j + 7", "j + 12"], ["j", "w + 13", "w + 25"], ["w", "n + 4", "n + 29"], ["n", "t + 1", "t + 30"], ["t", "u + 6", "u + 36"], ["u", 2, "38"]], "target_var_name": "l", "target_value": 38, "value_dict": {"u": 2}, "is_reverse": true}} | 21,532 | 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 = g + 3; d = c + 10; n = t + 1; q = j + 7; u = 2; m = u + 7; w = n + 4; c = p + 8; g = d + 2; l = q + 5; j = w + 13; p = m + 20; t = u + 6. If u = 2, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 38,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = j + 7 to l, which gives l = j + 12.\n2. Substitute j = w + 13 to l, which gives l = w + 25.\n3. Substitute w = n + 4 to l, which gives l = n + 29.\n4. Substitute n = t + 1 to l, which gives l = t + 30.\n5. Substitute t = u + 6 to l, which gives l = u + 36.\n6. Substitute u = 2 to l, which gives l = 38.\n\nThus, the final answer is l = \\boxed{38}.",
"index": 21532,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = g + 3; d = c + 10; n = t + 1; q = j + 7; u = 2; m = u + 7; w = n + 4; c = p + 8; g = d + 2; l = q + 5; j = w + 13; p = m + 20; t = u + 6. If u = 2, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"r": "o + 4", "e": "r + 4", "k": "e + 18", "b": "k + 12", "c": "b + 12", "m": "c + 12", "w": "o + 2", "l": "w + 18", "g": "l + 12", "f": "g + 14", "i": "f + 12", "z": "i + 2", "o": 3}, "premises": {"o": 3}, "target": "m"}, "answer": {"steps": [["c", "b + 12", "b + 24"], ["b", "k + 12", "k + 36"], ["k", "e + 18", "e + 54"], ["e", "r + 4", "r + 58"], ["r", "o + 4", "o + 62"], ["o", 3, "65"]], "target_var_name": "m", "target_value": 65, "value_dict": {"o": 3}, "is_reverse": true}} | 21,533 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = o + 4; o = 3; k = e + 18; c = b + 12; e = r + 4; z = i + 2; i = f + 12; f = g + 14; m = c + 12; l = w + 18; b = k + 12; g = l + 12; w = o + 2. If o = 3, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = b + 12 to m, which gives m = b + 24.\n2. Substitute b = k + 12 to m, which gives m = k + 36.\n3. Substitute k = e + 18 to m, which gives m = e + 54.\n4. Substitute e = r + 4 to m, which gives m = r + 58.\n5. Substitute r = o + 4 to m, which gives m = o + 62.\n6. Substitute o = 3 to m, which gives m = 65.\n\nThus, the final answer is m = \\boxed{65}.",
"index": 21533,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = o + 4; o = 3; k = e + 18; c = b + 12; e = r + 4; z = i + 2; i = f + 12; f = g + 14; m = c + 12; l = w + 18; b = k + 12; g = l + 12; w = o + 2. If o = 3, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"w": "c + 19", "j": "w + 18", "g": "j + 20", "p": "g + 20", "i": "p + 13", "y": "i + 3", "t": "c + 1", "b": "t + 10", "v": "b + 13", "l": "v + 16", "r": "l + 1", "f": "r + 8", "c": 7}, "premises": {"c": 7}, "target": "y"}, "answer": {"steps": [["i", "p + 13", "p + 16"], ["p", "g + 20", "g + 36"], ["g", "j + 20", "j + 56"], ["j", "w + 18", "w + 74"], ["w", "c + 19", "c + 93"], ["c", 7, "100"]], "target_var_name": "y", "target_value": 100, "value_dict": {"c": 7}, "is_reverse": true}} | 21,534 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = l + 1; j = w + 18; v = b + 13; g = j + 20; t = c + 1; w = c + 19; i = p + 13; l = v + 16; f = r + 8; b = t + 10; y = i + 3; p = g + 20; c = 7. If c = 7, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = p + 13 to y, which gives y = p + 16.\n2. Substitute p = g + 20 to y, which gives y = g + 36.\n3. Substitute g = j + 20 to y, which gives y = j + 56.\n4. Substitute j = w + 18 to y, which gives y = w + 74.\n5. Substitute w = c + 19 to y, which gives y = c + 93.\n6. Substitute c = 7 to y, which gives y = 100.\n\nThus, the final answer is y = \\boxed{100}.",
"index": 21534,
"question": "Consider a system of variables where each variable is defined as follows: r = l + 1; j = w + 18; v = b + 13; g = j + 20; t = c + 1; w = c + 19; i = p + 13; l = v + 16; f = r + 8; b = t + 10; y = i + 3; p = g + 20; c = 7. If c = 7, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"r": "g + 15", "m": "r + 18", "f": "m + 6", "i": "f + 18", "v": "i + 8", "e": "v + 14", "x": "g + 17", "l": "x + 16", "p": "l + 10", "y": "p + 4", "s": "y + 6", "u": "s + 9", "g": 10}, "premises": {"g": 10}, "target": "e"}, "answer": {"steps": [["v", "i + 8", "i + 22"], ["i", "f + 18", "f + 40"], ["f", "m + 6", "m + 46"], ["m", "r + 18", "r + 64"], ["r", "g + 15", "g + 79"], ["g", 10, "89"]], "target_var_name": "e", "target_value": 89, "value_dict": {"g": 10}, "is_reverse": true}} | 21,535 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = m + 6; g = 10; l = x + 16; r = g + 15; s = y + 6; i = f + 18; x = g + 17; m = r + 18; u = s + 9; v = i + 8; e = v + 14; p = l + 10; y = p + 4. Given that g = 10, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = i + 8 to e, which gives e = i + 22.\n2. Substitute i = f + 18 to e, which gives e = f + 40.\n3. Substitute f = m + 6 to e, which gives e = m + 46.\n4. Substitute m = r + 18 to e, which gives e = r + 64.\n5. Substitute r = g + 15 to e, which gives e = g + 79.\n6. Substitute g = 10 to e, which gives e = 89.\n\nThus, the final answer is e = \\boxed{89}.",
"index": 21535,
"question": "Suppose a collection of variables is related by the following definitions: f = m + 6; g = 10; l = x + 16; r = g + 15; s = y + 6; i = f + 18; x = g + 17; m = r + 18; u = s + 9; v = i + 8; e = v + 14; p = l + 10; y = p + 4. Given that g = 10, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"n": "t + 15", "o": "n + 16", "p": "o + 10", "b": "p + 19", "v": "b + 6", "h": "v + 5", "g": "t + 20", "f": "g + 2", "d": "f + 20", "j": "d + 13", "z": "j + 15", "y": "z + 1", "t": 20}, "premises": {"t": 20}, "target": "h"}, "answer": {"steps": [["v", "b + 6", "b + 11"], ["b", "p + 19", "p + 30"], ["p", "o + 10", "o + 40"], ["o", "n + 16", "n + 56"], ["n", "t + 15", "t + 71"], ["t", 20, "91"]], "target_var_name": "h", "target_value": 91, "value_dict": {"t": 20}, "is_reverse": true}} | 21,536 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = j + 15; g = t + 20; t = 20; d = f + 20; v = b + 6; o = n + 16; f = g + 2; b = p + 19; h = v + 5; y = z + 1; p = o + 10; n = t + 15; j = d + 13. If t = 20, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = b + 6 to h, which gives h = b + 11.\n2. Substitute b = p + 19 to h, which gives h = p + 30.\n3. Substitute p = o + 10 to h, which gives h = o + 40.\n4. Substitute o = n + 16 to h, which gives h = n + 56.\n5. Substitute n = t + 15 to h, which gives h = t + 71.\n6. Substitute t = 20 to h, which gives h = 91.\n\nThus, the final answer is h = \\boxed{91}.",
"index": 21536,
"question": "Consider a system of variables where each variable is defined as follows: z = j + 15; g = t + 20; t = 20; d = f + 20; v = b + 6; o = n + 16; f = g + 2; b = p + 19; h = v + 5; y = z + 1; p = o + 10; n = t + 15; j = d + 13. If t = 20, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"r": "i + 18", "j": "r + 16", "f": "j + 4", "y": "f + 10", "l": "y + 14", "v": "l + 16", "c": "i + 10", "t": "c + 19", "k": "t + 17", "x": "k + 13", "e": "x + 9", "p": "e + 19", "i": 14}, "premises": {"i": 14}, "target": "v"}, "answer": {"steps": [["l", "y + 14", "y + 30"], ["y", "f + 10", "f + 40"], ["f", "j + 4", "j + 44"], ["j", "r + 16", "r + 60"], ["r", "i + 18", "i + 78"], ["i", 14, "92"]], "target_var_name": "v", "target_value": 92, "value_dict": {"i": 14}, "is_reverse": true}} | 21,537 | 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 = f + 10; r = i + 18; l = y + 14; i = 14; t = c + 19; f = j + 4; p = e + 19; v = l + 16; j = r + 16; c = i + 10; x = k + 13; k = t + 17; e = x + 9. If i = 14, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = y + 14 to v, which gives v = y + 30.\n2. Substitute y = f + 10 to v, which gives v = f + 40.\n3. Substitute f = j + 4 to v, which gives v = j + 44.\n4. Substitute j = r + 16 to v, which gives v = r + 60.\n5. Substitute r = i + 18 to v, which gives v = i + 78.\n6. Substitute i = 14 to v, which gives v = 92.\n\nThus, the final answer is v = \\boxed{92}.",
"index": 21537,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = f + 10; r = i + 18; l = y + 14; i = 14; t = c + 19; f = j + 4; p = e + 19; v = l + 16; j = r + 16; c = i + 10; x = k + 13; k = t + 17; e = x + 9. If i = 14, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"d": "i + 20", "n": "d + 13", "x": "n + 20", "f": "x + 10", "r": "f + 13", "s": "r + 16", "o": "i + 7", "l": "o + 17", "y": "l + 14", "p": "y + 8", "m": "p + 14", "u": "m + 10", "i": 4}, "premises": {"i": 4}, "target": "s"}, "answer": {"steps": [["r", "f + 13", "f + 29"], ["f", "x + 10", "x + 39"], ["x", "n + 20", "n + 59"], ["n", "d + 13", "d + 72"], ["d", "i + 20", "i + 92"], ["i", 4, "96"]], "target_var_name": "s", "target_value": 96, "value_dict": {"i": 4}, "is_reverse": true}} | 21,538 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = 4; o = i + 7; m = p + 14; n = d + 13; s = r + 16; u = m + 10; x = n + 20; r = f + 13; l = o + 17; f = x + 10; p = y + 8; d = i + 20; y = l + 14. If i = 4, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = f + 13 to s, which gives s = f + 29.\n2. Substitute f = x + 10 to s, which gives s = x + 39.\n3. Substitute x = n + 20 to s, which gives s = n + 59.\n4. Substitute n = d + 13 to s, which gives s = d + 72.\n5. Substitute d = i + 20 to s, which gives s = i + 92.\n6. Substitute i = 4 to s, which gives s = 96.\n\nThus, the final answer is s = \\boxed{96}.",
"index": 21538,
"question": "Consider a system of variables where each variable is defined as follows: i = 4; o = i + 7; m = p + 14; n = d + 13; s = r + 16; u = m + 10; x = n + 20; r = f + 13; l = o + 17; f = x + 10; p = y + 8; d = i + 20; y = l + 14. If i = 4, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"r": "b + 9", "w": "r + 16", "u": "w + 5", "a": "u + 3", "m": "a + 11", "g": "m + 2", "f": "b + 1", "v": "f + 4", "o": "v + 7", "x": "o + 5", "y": "x + 12", "n": "y + 6", "b": 15}, "premises": {"b": 15}, "target": "g"}, "answer": {"steps": [["m", "a + 11", "a + 13"], ["a", "u + 3", "u + 16"], ["u", "w + 5", "w + 21"], ["w", "r + 16", "r + 37"], ["r", "b + 9", "b + 46"], ["b", 15, "61"]], "target_var_name": "g", "target_value": 61, "value_dict": {"b": 15}, "is_reverse": true}} | 21,539 | 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 = x + 12; w = r + 16; r = b + 9; g = m + 2; a = u + 3; b = 15; o = v + 7; u = w + 5; v = f + 4; n = y + 6; x = o + 5; m = a + 11; f = b + 1. If b = 15, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = a + 11 to g, which gives g = a + 13.\n2. Substitute a = u + 3 to g, which gives g = u + 16.\n3. Substitute u = w + 5 to g, which gives g = w + 21.\n4. Substitute w = r + 16 to g, which gives g = r + 37.\n5. Substitute r = b + 9 to g, which gives g = b + 46.\n6. Substitute b = 15 to g, which gives g = 61.\n\nThus, the final answer is g = \\boxed{61}.",
"index": 21539,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = x + 12; w = r + 16; r = b + 9; g = m + 2; a = u + 3; b = 15; o = v + 7; u = w + 5; v = f + 4; n = y + 6; x = o + 5; m = a + 11; f = b + 1. If b = 15, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"r": "q + 8", "e": "r + 15", "c": "e + 9", "x": "c + 10", "j": "x + 15", "m": "j + 13", "k": "q + 14", "u": "k + 9", "n": "u + 3", "z": "n + 3", "g": "z + 18", "i": "g + 5", "q": 13}, "premises": {"q": 13}, "target": "m"}, "answer": {"steps": [["j", "x + 15", "x + 28"], ["x", "c + 10", "c + 38"], ["c", "e + 9", "e + 47"], ["e", "r + 15", "r + 62"], ["r", "q + 8", "q + 70"], ["q", 13, "83"]], "target_var_name": "m", "target_value": 83, "value_dict": {"q": 13}, "is_reverse": true}} | 21,540 | 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 = n + 3; x = c + 10; q = 13; c = e + 9; j = x + 15; i = g + 5; u = k + 9; k = q + 14; n = u + 3; r = q + 8; e = r + 15; g = z + 18; m = j + 13. If q = 13, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = x + 15 to m, which gives m = x + 28.\n2. Substitute x = c + 10 to m, which gives m = c + 38.\n3. Substitute c = e + 9 to m, which gives m = e + 47.\n4. Substitute e = r + 15 to m, which gives m = r + 62.\n5. Substitute r = q + 8 to m, which gives m = q + 70.\n6. Substitute q = 13 to m, which gives m = 83.\n\nThus, the final answer is m = \\boxed{83}.",
"index": 21540,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = n + 3; x = c + 10; q = 13; c = e + 9; j = x + 15; i = g + 5; u = k + 9; k = q + 14; n = u + 3; r = q + 8; e = r + 15; g = z + 18; m = j + 13. If q = 13, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"n": "v + 20", "l": "n + 17", "b": "l + 4", "h": "b + 4", "f": "h + 14", "x": "f + 1", "j": "v + 20", "u": "j + 19", "c": "u + 10", "e": "c + 2", "g": "e + 12", "q": "g + 20", "v": 10}, "premises": {"v": 10}, "target": "x"}, "answer": {"steps": [["f", "h + 14", "h + 15"], ["h", "b + 4", "b + 19"], ["b", "l + 4", "l + 23"], ["l", "n + 17", "n + 40"], ["n", "v + 20", "v + 60"], ["v", 10, "70"]], "target_var_name": "x", "target_value": 70, "value_dict": {"v": 10}, "is_reverse": true}} | 21,541 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = c + 2; c = u + 10; l = n + 17; n = v + 20; x = f + 1; j = v + 20; f = h + 14; b = l + 4; q = g + 20; h = b + 4; g = e + 12; u = j + 19; v = 10. If v = 10, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = h + 14 to x, which gives x = h + 15.\n2. Substitute h = b + 4 to x, which gives x = b + 19.\n3. Substitute b = l + 4 to x, which gives x = l + 23.\n4. Substitute l = n + 17 to x, which gives x = n + 40.\n5. Substitute n = v + 20 to x, which gives x = v + 60.\n6. Substitute v = 10 to x, which gives x = 70.\n\nThus, the final answer is x = \\boxed{70}.",
"index": 21541,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = c + 2; c = u + 10; l = n + 17; n = v + 20; x = f + 1; j = v + 20; f = h + 14; b = l + 4; q = g + 20; h = b + 4; g = e + 12; u = j + 19; v = 10. If v = 10, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"i": "n + 13", "f": "i + 8", "x": "f + 18", "u": "x + 1", "k": "u + 9", "z": "k + 8", "e": "n + 10", "q": "e + 9", "s": "q + 15", "w": "s + 17", "m": "w + 12", "c": "m + 20", "n": 14}, "premises": {"n": 14}, "target": "z"}, "answer": {"steps": [["k", "u + 9", "u + 17"], ["u", "x + 1", "x + 18"], ["x", "f + 18", "f + 36"], ["f", "i + 8", "i + 44"], ["i", "n + 13", "n + 57"], ["n", 14, "71"]], "target_var_name": "z", "target_value": 71, "value_dict": {"n": 14}, "is_reverse": true}} | 21,542 | 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 = 14; e = n + 10; f = i + 8; u = x + 1; m = w + 12; k = u + 9; w = s + 17; z = k + 8; i = n + 13; q = e + 9; s = q + 15; c = m + 20; x = f + 18. If n = 14, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = u + 9 to z, which gives z = u + 17.\n2. Substitute u = x + 1 to z, which gives z = x + 18.\n3. Substitute x = f + 18 to z, which gives z = f + 36.\n4. Substitute f = i + 8 to z, which gives z = i + 44.\n5. Substitute i = n + 13 to z, which gives z = n + 57.\n6. Substitute n = 14 to z, which gives z = 71.\n\nThus, the final answer is z = \\boxed{71}.",
"index": 21542,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = 14; e = n + 10; f = i + 8; u = x + 1; m = w + 12; k = u + 9; w = s + 17; z = k + 8; i = n + 13; q = e + 9; s = q + 15; c = m + 20; x = f + 18. If n = 14, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"r": "q + 10", "z": "r + 17", "t": "z + 14", "n": "t + 17", "d": "n + 15", "w": "d + 11", "h": "q + 3", "y": "h + 19", "f": "y + 3", "v": "f + 13", "a": "v + 7", "b": "a + 19", "q": 20}, "premises": {"q": 20}, "target": "w"}, "answer": {"steps": [["d", "n + 15", "n + 26"], ["n", "t + 17", "t + 43"], ["t", "z + 14", "z + 57"], ["z", "r + 17", "r + 74"], ["r", "q + 10", "q + 84"], ["q", 20, "104"]], "target_var_name": "w", "target_value": 104, "value_dict": {"q": 20}, "is_reverse": true}} | 21,543 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = r + 17; y = h + 19; b = a + 19; d = n + 15; h = q + 3; v = f + 13; n = t + 17; f = y + 3; t = z + 14; a = v + 7; q = 20; r = q + 10; w = d + 11. Given that q = 20, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 104,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = n + 15 to w, which gives w = n + 26.\n2. Substitute n = t + 17 to w, which gives w = t + 43.\n3. Substitute t = z + 14 to w, which gives w = z + 57.\n4. Substitute z = r + 17 to w, which gives w = r + 74.\n5. Substitute r = q + 10 to w, which gives w = q + 84.\n6. Substitute q = 20 to w, which gives w = 104.\n\nThus, the final answer is w = \\boxed{104}.",
"index": 21543,
"question": "Suppose a collection of variables is related by the following definitions: z = r + 17; y = h + 19; b = a + 19; d = n + 15; h = q + 3; v = f + 13; n = t + 17; f = y + 3; t = z + 14; a = v + 7; q = 20; r = q + 10; w = d + 11. Given that q = 20, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"l": "m + 5", "o": "l + 7", "n": "o + 20", "g": "n + 3", "k": "g + 11", "d": "k + 12", "v": "m + 19", "e": "v + 12", "p": "e + 17", "j": "p + 10", "a": "j + 13", "x": "a + 8", "m": 8}, "premises": {"m": 8}, "target": "d"}, "answer": {"steps": [["k", "g + 11", "g + 23"], ["g", "n + 3", "n + 26"], ["n", "o + 20", "o + 46"], ["o", "l + 7", "l + 53"], ["l", "m + 5", "m + 58"], ["m", 8, "66"]], "target_var_name": "d", "target_value": 66, "value_dict": {"m": 8}, "is_reverse": true}} | 21,544 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = p + 10; k = g + 11; a = j + 13; v = m + 19; m = 8; d = k + 12; p = e + 17; x = a + 8; e = v + 12; o = l + 7; l = m + 5; g = n + 3; n = o + 20. If m = 8, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = g + 11 to d, which gives d = g + 23.\n2. Substitute g = n + 3 to d, which gives d = n + 26.\n3. Substitute n = o + 20 to d, which gives d = o + 46.\n4. Substitute o = l + 7 to d, which gives d = l + 53.\n5. Substitute l = m + 5 to d, which gives d = m + 58.\n6. Substitute m = 8 to d, which gives d = 66.\n\nThus, the final answer is d = \\boxed{66}.",
"index": 21544,
"question": "Consider a system of variables where each variable is defined as follows: j = p + 10; k = g + 11; a = j + 13; v = m + 19; m = 8; d = k + 12; p = e + 17; x = a + 8; e = v + 12; o = l + 7; l = m + 5; g = n + 3; n = o + 20. If m = 8, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"p": "a + 2", "m": "p + 9", "r": "m + 18", "u": "r + 14", "v": "u + 16", "h": "v + 20", "y": "a + 4", "f": "y + 6", "q": "f + 8", "w": "q + 1", "l": "w + 1", "o": "l + 11", "a": 2}, "premises": {"a": 2}, "target": "h"}, "answer": {"steps": [["v", "u + 16", "u + 36"], ["u", "r + 14", "r + 50"], ["r", "m + 18", "m + 68"], ["m", "p + 9", "p + 77"], ["p", "a + 2", "a + 79"], ["a", 2, "81"]], "target_var_name": "h", "target_value": 81, "value_dict": {"a": 2}, "is_reverse": true}} | 21,545 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = w + 1; v = u + 16; w = q + 1; f = y + 6; m = p + 9; p = a + 2; r = m + 18; q = f + 8; y = a + 4; h = v + 20; o = l + 11; u = r + 14; a = 2. Given that a = 2, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = u + 16 to h, which gives h = u + 36.\n2. Substitute u = r + 14 to h, which gives h = r + 50.\n3. Substitute r = m + 18 to h, which gives h = m + 68.\n4. Substitute m = p + 9 to h, which gives h = p + 77.\n5. Substitute p = a + 2 to h, which gives h = a + 79.\n6. Substitute a = 2 to h, which gives h = 81.\n\nThus, the final answer is h = \\boxed{81}.",
"index": 21545,
"question": "Suppose a collection of variables is related by the following definitions: l = w + 1; v = u + 16; w = q + 1; f = y + 6; m = p + 9; p = a + 2; r = m + 18; q = f + 8; y = a + 4; h = v + 20; o = l + 11; u = r + 14; a = 2. Given that a = 2, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"x": "t + 17", "h": "x + 12", "o": "h + 7", "e": "o + 3", "q": "e + 8", "d": "q + 14", "r": "t + 16", "c": "r + 8", "w": "c + 5", "z": "w + 20", "n": "z + 3", "v": "n + 4", "t": 20}, "premises": {"t": 20}, "target": "d"}, "answer": {"steps": [["q", "e + 8", "e + 22"], ["e", "o + 3", "o + 25"], ["o", "h + 7", "h + 32"], ["h", "x + 12", "x + 44"], ["x", "t + 17", "t + 61"], ["t", 20, "81"]], "target_var_name": "d", "target_value": 81, "value_dict": {"t": 20}, "is_reverse": true}} | 21,546 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = x + 12; t = 20; x = t + 17; v = n + 4; w = c + 5; q = e + 8; d = q + 14; o = h + 7; n = z + 3; r = t + 16; e = o + 3; c = r + 8; z = w + 20. If t = 20, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = e + 8 to d, which gives d = e + 22.\n2. Substitute e = o + 3 to d, which gives d = o + 25.\n3. Substitute o = h + 7 to d, which gives d = h + 32.\n4. Substitute h = x + 12 to d, which gives d = x + 44.\n5. Substitute x = t + 17 to d, which gives d = t + 61.\n6. Substitute t = 20 to d, which gives d = 81.\n\nThus, the final answer is d = \\boxed{81}.",
"index": 21546,
"question": "Consider a system of variables where each variable is defined as follows: h = x + 12; t = 20; x = t + 17; v = n + 4; w = c + 5; q = e + 8; d = q + 14; o = h + 7; n = z + 3; r = t + 16; e = o + 3; c = r + 8; z = w + 20. If t = 20, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"c": "m + 19", "b": "c + 15", "j": "b + 17", "f": "j + 2", "k": "f + 3", "t": "k + 5", "u": "m + 17", "p": "u + 17", "l": "p + 9", "y": "l + 1", "i": "y + 19", "o": "i + 15", "m": 13}, "premises": {"m": 13}, "target": "t"}, "answer": {"steps": [["k", "f + 3", "f + 8"], ["f", "j + 2", "j + 10"], ["j", "b + 17", "b + 27"], ["b", "c + 15", "c + 42"], ["c", "m + 19", "m + 61"], ["m", 13, "74"]], "target_var_name": "t", "target_value": 74, "value_dict": {"m": 13}, "is_reverse": true}} | 21,547 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = 13; j = b + 17; f = j + 2; i = y + 19; y = l + 1; p = u + 17; t = k + 5; u = m + 17; b = c + 15; c = m + 19; o = i + 15; k = f + 3; l = p + 9. If m = 13, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = f + 3 to t, which gives t = f + 8.\n2. Substitute f = j + 2 to t, which gives t = j + 10.\n3. Substitute j = b + 17 to t, which gives t = b + 27.\n4. Substitute b = c + 15 to t, which gives t = c + 42.\n5. Substitute c = m + 19 to t, which gives t = m + 61.\n6. Substitute m = 13 to t, which gives t = 74.\n\nThus, the final answer is t = \\boxed{74}.",
"index": 21547,
"question": "Consider a system of variables where each variable is defined as follows: m = 13; j = b + 17; f = j + 2; i = y + 19; y = l + 1; p = u + 17; t = k + 5; u = m + 17; b = c + 15; c = m + 19; o = i + 15; k = f + 3; l = p + 9. If m = 13, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"c": "i + 18", "f": "c + 19", "e": "f + 3", "l": "e + 12", "u": "l + 2", "r": "u + 9", "s": "i + 9", "t": "s + 3", "p": "t + 11", "y": "p + 15", "d": "y + 14", "w": "d + 4", "i": 15}, "premises": {"i": 15}, "target": "r"}, "answer": {"steps": [["u", "l + 2", "l + 11"], ["l", "e + 12", "e + 23"], ["e", "f + 3", "f + 26"], ["f", "c + 19", "c + 45"], ["c", "i + 18", "i + 63"], ["i", 15, "78"]], "target_var_name": "r", "target_value": 78, "value_dict": {"i": 15}, "is_reverse": true}} | 21,548 | 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 = d + 4; l = e + 12; s = i + 9; d = y + 14; f = c + 19; u = l + 2; t = s + 3; c = i + 18; i = 15; r = u + 9; p = t + 11; e = f + 3; y = p + 15. If i = 15, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = l + 2 to r, which gives r = l + 11.\n2. Substitute l = e + 12 to r, which gives r = e + 23.\n3. Substitute e = f + 3 to r, which gives r = f + 26.\n4. Substitute f = c + 19 to r, which gives r = c + 45.\n5. Substitute c = i + 18 to r, which gives r = i + 63.\n6. Substitute i = 15 to r, which gives r = 78.\n\nThus, the final answer is r = \\boxed{78}.",
"index": 21548,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = d + 4; l = e + 12; s = i + 9; d = y + 14; f = c + 19; u = l + 2; t = s + 3; c = i + 18; i = 15; r = u + 9; p = t + 11; e = f + 3; y = p + 15. If i = 15, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"v": "x + 1", "a": "v + 12", "p": "a + 3", "o": "p + 12", "b": "o + 2", "d": "b + 2", "z": "x + 8", "s": "z + 3", "m": "s + 17", "c": "m + 19", "r": "c + 4", "u": "r + 15", "x": 18}, "premises": {"x": 18}, "target": "d"}, "answer": {"steps": [["b", "o + 2", "o + 4"], ["o", "p + 12", "p + 16"], ["p", "a + 3", "a + 19"], ["a", "v + 12", "v + 31"], ["v", "x + 1", "x + 32"], ["x", 18, "50"]], "target_var_name": "d", "target_value": 50, "value_dict": {"x": 18}, "is_reverse": true}} | 21,549 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = c + 4; u = r + 15; x = 18; p = a + 3; m = s + 17; v = x + 1; b = o + 2; z = x + 8; s = z + 3; c = m + 19; o = p + 12; a = v + 12; d = b + 2. If x = 18, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = o + 2 to d, which gives d = o + 4.\n2. Substitute o = p + 12 to d, which gives d = p + 16.\n3. Substitute p = a + 3 to d, which gives d = a + 19.\n4. Substitute a = v + 12 to d, which gives d = v + 31.\n5. Substitute v = x + 1 to d, which gives d = x + 32.\n6. Substitute x = 18 to d, which gives d = 50.\n\nThus, the final answer is d = \\boxed{50}.",
"index": 21549,
"question": "Consider a system of variables where each variable is defined as follows: r = c + 4; u = r + 15; x = 18; p = a + 3; m = s + 17; v = x + 1; b = o + 2; z = x + 8; s = z + 3; c = m + 19; o = p + 12; a = v + 12; d = b + 2. If x = 18, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"l": "z + 15", "e": "l + 1", "u": "e + 8", "n": "u + 19", "r": "n + 5", "x": "r + 12", "c": "z + 3", "y": "c + 7", "m": "y + 1", "q": "m + 8", "w": "q + 2", "k": "w + 20", "z": 15}, "premises": {"z": 15}, "target": "x"}, "answer": {"steps": [["r", "n + 5", "n + 17"], ["n", "u + 19", "u + 36"], ["u", "e + 8", "e + 44"], ["e", "l + 1", "l + 45"], ["l", "z + 15", "z + 60"], ["z", 15, "75"]], "target_var_name": "x", "target_value": 75, "value_dict": {"z": 15}, "is_reverse": true}} | 21,550 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = l + 1; k = w + 20; w = q + 2; z = 15; y = c + 7; r = n + 5; n = u + 19; c = z + 3; x = r + 12; q = m + 8; m = y + 1; l = z + 15; u = e + 8. Given that z = 15, 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 r = n + 5 to x, which gives x = n + 17.\n2. Substitute n = u + 19 to x, which gives x = u + 36.\n3. Substitute u = e + 8 to x, which gives x = e + 44.\n4. Substitute e = l + 1 to x, which gives x = l + 45.\n5. Substitute l = z + 15 to x, which gives x = z + 60.\n6. Substitute z = 15 to x, which gives x = 75.\n\nThus, the final answer is x = \\boxed{75}.",
"index": 21550,
"question": "Suppose a collection of variables is related by the following definitions: e = l + 1; k = w + 20; w = q + 2; z = 15; y = c + 7; r = n + 5; n = u + 19; c = z + 3; x = r + 12; q = m + 8; m = y + 1; l = z + 15; u = e + 8. Given that z = 15, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"w": "s + 7", "l": "w + 12", "t": "l + 10", "j": "t + 8", "z": "j + 14", "k": "z + 3", "n": "s + 15", "f": "n + 8", "o": "f + 11", "a": "o + 9", "b": "a + 13", "u": "b + 15", "s": 5}, "premises": {"s": 5}, "target": "k"}, "answer": {"steps": [["z", "j + 14", "j + 17"], ["j", "t + 8", "t + 25"], ["t", "l + 10", "l + 35"], ["l", "w + 12", "w + 47"], ["w", "s + 7", "s + 54"], ["s", 5, "59"]], "target_var_name": "k", "target_value": 59, "value_dict": {"s": 5}, "is_reverse": true}} | 21,551 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = s + 7; t = l + 10; s = 5; l = w + 12; b = a + 13; a = o + 9; u = b + 15; k = z + 3; f = n + 8; j = t + 8; o = f + 11; z = j + 14; n = s + 15. If s = 5, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = j + 14 to k, which gives k = j + 17.\n2. Substitute j = t + 8 to k, which gives k = t + 25.\n3. Substitute t = l + 10 to k, which gives k = l + 35.\n4. Substitute l = w + 12 to k, which gives k = w + 47.\n5. Substitute w = s + 7 to k, which gives k = s + 54.\n6. Substitute s = 5 to k, which gives k = 59.\n\nThus, the final answer is k = \\boxed{59}.",
"index": 21551,
"question": "Consider a system of variables where each variable is defined as follows: w = s + 7; t = l + 10; s = 5; l = w + 12; b = a + 13; a = o + 9; u = b + 15; k = z + 3; f = n + 8; j = t + 8; o = f + 11; z = j + 14; n = s + 15. If s = 5, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"d": "t + 17", "i": "d + 15", "e": "i + 7", "r": "e + 16", "w": "r + 3", "b": "w + 13", "a": "t + 10", "x": "a + 9", "j": "x + 16", "u": "j + 1", "l": "u + 17", "o": "l + 13", "t": 7}, "premises": {"t": 7}, "target": "b"}, "answer": {"steps": [["w", "r + 3", "r + 16"], ["r", "e + 16", "e + 32"], ["e", "i + 7", "i + 39"], ["i", "d + 15", "d + 54"], ["d", "t + 17", "t + 71"], ["t", 7, "78"]], "target_var_name": "b", "target_value": 78, "value_dict": {"t": 7}, "is_reverse": true}} | 21,552 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = t + 17; u = j + 1; x = a + 9; w = r + 3; o = l + 13; i = d + 15; j = x + 16; l = u + 17; e = i + 7; b = w + 13; t = 7; a = t + 10; r = e + 16. Given that t = 7, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = r + 3 to b, which gives b = r + 16.\n2. Substitute r = e + 16 to b, which gives b = e + 32.\n3. Substitute e = i + 7 to b, which gives b = i + 39.\n4. Substitute i = d + 15 to b, which gives b = d + 54.\n5. Substitute d = t + 17 to b, which gives b = t + 71.\n6. Substitute t = 7 to b, which gives b = 78.\n\nThus, the final answer is b = \\boxed{78}.",
"index": 21552,
"question": "Suppose a collection of variables is related by the following definitions: d = t + 17; u = j + 1; x = a + 9; w = r + 3; o = l + 13; i = d + 15; j = x + 16; l = u + 17; e = i + 7; b = w + 13; t = 7; a = t + 10; r = e + 16. Given that t = 7, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"u": "h + 10", "s": "u + 12", "g": "s + 12", "t": "g + 6", "b": "t + 2", "v": "b + 10", "m": "h + 3", "e": "m + 7", "j": "e + 12", "q": "j + 4", "a": "q + 4", "i": "a + 15", "h": 4}, "premises": {"h": 4}, "target": "v"}, "answer": {"steps": [["b", "t + 2", "t + 12"], ["t", "g + 6", "g + 18"], ["g", "s + 12", "s + 30"], ["s", "u + 12", "u + 42"], ["u", "h + 10", "h + 52"], ["h", 4, "56"]], "target_var_name": "v", "target_value": 56, "value_dict": {"h": 4}, "is_reverse": true}} | 21,553 | 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 = u + 12; u = h + 10; v = b + 10; q = j + 4; i = a + 15; g = s + 12; m = h + 3; h = 4; b = t + 2; e = m + 7; t = g + 6; a = q + 4; j = e + 12. If h = 4, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = t + 2 to v, which gives v = t + 12.\n2. Substitute t = g + 6 to v, which gives v = g + 18.\n3. Substitute g = s + 12 to v, which gives v = s + 30.\n4. Substitute s = u + 12 to v, which gives v = u + 42.\n5. Substitute u = h + 10 to v, which gives v = h + 52.\n6. Substitute h = 4 to v, which gives v = 56.\n\nThus, the final answer is v = \\boxed{56}.",
"index": 21553,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = u + 12; u = h + 10; v = b + 10; q = j + 4; i = a + 15; g = s + 12; m = h + 3; h = 4; b = t + 2; e = m + 7; t = g + 6; a = q + 4; j = e + 12. If h = 4, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"p": "c + 4", "a": "p + 7", "m": "a + 20", "s": "m + 3", "j": "s + 13", "e": "j + 5", "f": "c + 5", "z": "f + 8", "u": "z + 2", "v": "u + 7", "b": "v + 6", "o": "b + 15", "c": 12}, "premises": {"c": 12}, "target": "e"}, "answer": {"steps": [["j", "s + 13", "s + 18"], ["s", "m + 3", "m + 21"], ["m", "a + 20", "a + 41"], ["a", "p + 7", "p + 48"], ["p", "c + 4", "c + 52"], ["c", 12, "64"]], "target_var_name": "e", "target_value": 64, "value_dict": {"c": 12}, "is_reverse": true}} | 21,554 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = s + 13; o = b + 15; f = c + 5; u = z + 2; e = j + 5; z = f + 8; v = u + 7; s = m + 3; a = p + 7; p = c + 4; b = v + 6; c = 12; m = a + 20. If c = 12, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = s + 13 to e, which gives e = s + 18.\n2. Substitute s = m + 3 to e, which gives e = m + 21.\n3. Substitute m = a + 20 to e, which gives e = a + 41.\n4. Substitute a = p + 7 to e, which gives e = p + 48.\n5. Substitute p = c + 4 to e, which gives e = c + 52.\n6. Substitute c = 12 to e, which gives e = 64.\n\nThus, the final answer is e = \\boxed{64}.",
"index": 21554,
"question": "Consider a system of variables where each variable is defined as follows: j = s + 13; o = b + 15; f = c + 5; u = z + 2; e = j + 5; z = f + 8; v = u + 7; s = m + 3; a = p + 7; p = c + 4; b = v + 6; c = 12; m = a + 20. If c = 12, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"r": "x + 1", "l": "r + 10", "s": "l + 8", "o": "s + 17", "m": "o + 18", "h": "m + 19", "f": "x + 2", "t": "f + 4", "i": "t + 12", "p": "i + 20", "u": "p + 1", "a": "u + 11", "x": 3}, "premises": {"x": 3}, "target": "h"}, "answer": {"steps": [["m", "o + 18", "o + 37"], ["o", "s + 17", "s + 54"], ["s", "l + 8", "l + 62"], ["l", "r + 10", "r + 72"], ["r", "x + 1", "x + 73"], ["x", 3, "76"]], "target_var_name": "h", "target_value": 76, "value_dict": {"x": 3}, "is_reverse": true}} | 21,555 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = l + 8; l = r + 10; a = u + 11; m = o + 18; u = p + 1; r = x + 1; x = 3; h = m + 19; f = x + 2; i = t + 12; p = i + 20; t = f + 4; o = s + 17. If x = 3, 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 m = o + 18 to h, which gives h = o + 37.\n2. Substitute o = s + 17 to h, which gives h = s + 54.\n3. Substitute s = l + 8 to h, which gives h = l + 62.\n4. Substitute l = r + 10 to h, which gives h = r + 72.\n5. Substitute r = x + 1 to h, which gives h = x + 73.\n6. Substitute x = 3 to h, which gives h = 76.\n\nThus, the final answer is h = \\boxed{76}.",
"index": 21555,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = l + 8; l = r + 10; a = u + 11; m = o + 18; u = p + 1; r = x + 1; x = 3; h = m + 19; f = x + 2; i = t + 12; p = i + 20; t = f + 4; o = s + 17. If x = 3, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"g": "l + 10", "p": "g + 6", "v": "p + 12", "t": "v + 10", "u": "t + 11", "c": "u + 15", "d": "l + 2", "f": "d + 3", "m": "f + 18", "b": "m + 8", "w": "b + 4", "q": "w + 17", "l": 18}, "premises": {"l": 18}, "target": "c"}, "answer": {"steps": [["u", "t + 11", "t + 26"], ["t", "v + 10", "v + 36"], ["v", "p + 12", "p + 48"], ["p", "g + 6", "g + 54"], ["g", "l + 10", "l + 64"], ["l", 18, "82"]], "target_var_name": "c", "target_value": 82, "value_dict": {"l": 18}, "is_reverse": true}} | 21,556 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = t + 11; c = u + 15; p = g + 6; v = p + 12; f = d + 3; t = v + 10; b = m + 8; w = b + 4; g = l + 10; l = 18; m = f + 18; q = w + 17; d = l + 2. If l = 18, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = t + 11 to c, which gives c = t + 26.\n2. Substitute t = v + 10 to c, which gives c = v + 36.\n3. Substitute v = p + 12 to c, which gives c = p + 48.\n4. Substitute p = g + 6 to c, which gives c = g + 54.\n5. Substitute g = l + 10 to c, which gives c = l + 64.\n6. Substitute l = 18 to c, which gives c = 82.\n\nThus, the final answer is c = \\boxed{82}.",
"index": 21556,
"question": "Consider a system of variables where each variable is defined as follows: u = t + 11; c = u + 15; p = g + 6; v = p + 12; f = d + 3; t = v + 10; b = m + 8; w = b + 4; g = l + 10; l = 18; m = f + 18; q = w + 17; d = l + 2. If l = 18, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"v": "q + 8", "r": "v + 18", "p": "r + 5", "t": "p + 13", "e": "t + 18", "c": "e + 6", "m": "q + 3", "d": "m + 14", "j": "d + 3", "s": "j + 5", "a": "s + 19", "u": "a + 7", "q": 17}, "premises": {"q": 17}, "target": "c"}, "answer": {"steps": [["e", "t + 18", "t + 24"], ["t", "p + 13", "p + 37"], ["p", "r + 5", "r + 42"], ["r", "v + 18", "v + 60"], ["v", "q + 8", "q + 68"], ["q", 17, "85"]], "target_var_name": "c", "target_value": 85, "value_dict": {"q": 17}, "is_reverse": true}} | 21,557 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = d + 3; c = e + 6; u = a + 7; v = q + 8; d = m + 14; p = r + 5; s = j + 5; q = 17; r = v + 18; a = s + 19; t = p + 13; m = q + 3; e = t + 18. Given that q = 17, find the 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 e = t + 18 to c, which gives c = t + 24.\n2. Substitute t = p + 13 to c, which gives c = p + 37.\n3. Substitute p = r + 5 to c, which gives c = r + 42.\n4. Substitute r = v + 18 to c, which gives c = v + 60.\n5. Substitute v = q + 8 to c, which gives c = q + 68.\n6. Substitute q = 17 to c, which gives c = 85.\n\nThus, the final answer is c = \\boxed{85}.",
"index": 21557,
"question": "Suppose a collection of variables is related by the following definitions: j = d + 3; c = e + 6; u = a + 7; v = q + 8; d = m + 14; p = r + 5; s = j + 5; q = 17; r = v + 18; a = s + 19; t = p + 13; m = q + 3; e = t + 18. Given that q = 17, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"r": "a + 1", "e": "r + 20", "m": "e + 6", "z": "m + 16", "j": "z + 11", "b": "j + 16", "l": "a + 3", "k": "l + 20", "s": "k + 3", "o": "s + 2", "t": "o + 2", "f": "t + 7", "a": 9}, "premises": {"a": 9}, "target": "b"}, "answer": {"steps": [["j", "z + 11", "z + 27"], ["z", "m + 16", "m + 43"], ["m", "e + 6", "e + 49"], ["e", "r + 20", "r + 69"], ["r", "a + 1", "a + 70"], ["a", 9, "79"]], "target_var_name": "b", "target_value": 79, "value_dict": {"a": 9}, "is_reverse": true}} | 21,558 | 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 = k + 3; l = a + 3; a = 9; k = l + 20; t = o + 2; e = r + 20; f = t + 7; j = z + 11; z = m + 16; b = j + 16; o = s + 2; m = e + 6; r = a + 1. If a = 9, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = z + 11 to b, which gives b = z + 27.\n2. Substitute z = m + 16 to b, which gives b = m + 43.\n3. Substitute m = e + 6 to b, which gives b = e + 49.\n4. Substitute e = r + 20 to b, which gives b = r + 69.\n5. Substitute r = a + 1 to b, which gives b = a + 70.\n6. Substitute a = 9 to b, which gives b = 79.\n\nThus, the final answer is b = \\boxed{79}.",
"index": 21558,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = k + 3; l = a + 3; a = 9; k = l + 20; t = o + 2; e = r + 20; f = t + 7; j = z + 11; z = m + 16; b = j + 16; o = s + 2; m = e + 6; r = a + 1. If a = 9, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"d": "j + 9", "z": "d + 3", "c": "z + 4", "w": "c + 6", "f": "w + 15", "r": "f + 4", "q": "j + 8", "o": "q + 4", "b": "o + 4", "e": "b + 15", "i": "e + 7", "s": "i + 18", "j": 1}, "premises": {"j": 1}, "target": "r"}, "answer": {"steps": [["f", "w + 15", "w + 19"], ["w", "c + 6", "c + 25"], ["c", "z + 4", "z + 29"], ["z", "d + 3", "d + 32"], ["d", "j + 9", "j + 41"], ["j", 1, "42"]], "target_var_name": "r", "target_value": 42, "value_dict": {"j": 1}, "is_reverse": true}} | 21,559 | 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 = c + 6; o = q + 4; r = f + 4; e = b + 15; d = j + 9; s = i + 18; c = z + 4; j = 1; b = o + 4; q = j + 8; i = e + 7; f = w + 15; z = d + 3. If j = 1, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 42,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = w + 15 to r, which gives r = w + 19.\n2. Substitute w = c + 6 to r, which gives r = c + 25.\n3. Substitute c = z + 4 to r, which gives r = z + 29.\n4. Substitute z = d + 3 to r, which gives r = d + 32.\n5. Substitute d = j + 9 to r, which gives r = j + 41.\n6. Substitute j = 1 to r, which gives r = 42.\n\nThus, the final answer is r = \\boxed{42}.",
"index": 21559,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = c + 6; o = q + 4; r = f + 4; e = b + 15; d = j + 9; s = i + 18; c = z + 4; j = 1; b = o + 4; q = j + 8; i = e + 7; f = w + 15; z = d + 3. If j = 1, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"r": "d + 1", "u": "r + 1", "b": "u + 11", "v": "b + 17", "h": "v + 2", "j": "h + 6", "a": "d + 11", "s": "a + 13", "n": "s + 4", "p": "n + 13", "f": "p + 20", "e": "f + 10", "d": 20}, "premises": {"d": 20}, "target": "j"}, "answer": {"steps": [["h", "v + 2", "v + 8"], ["v", "b + 17", "b + 25"], ["b", "u + 11", "u + 36"], ["u", "r + 1", "r + 37"], ["r", "d + 1", "d + 38"], ["d", 20, "58"]], "target_var_name": "j", "target_value": 58, "value_dict": {"d": 20}, "is_reverse": true}} | 21,560 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = d + 1; e = f + 10; d = 20; v = b + 17; s = a + 13; n = s + 4; a = d + 11; u = r + 1; p = n + 13; b = u + 11; f = p + 20; j = h + 6; h = v + 2. If d = 20, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = v + 2 to j, which gives j = v + 8.\n2. Substitute v = b + 17 to j, which gives j = b + 25.\n3. Substitute b = u + 11 to j, which gives j = u + 36.\n4. Substitute u = r + 1 to j, which gives j = r + 37.\n5. Substitute r = d + 1 to j, which gives j = d + 38.\n6. Substitute d = 20 to j, which gives j = 58.\n\nThus, the final answer is j = \\boxed{58}.",
"index": 21560,
"question": "Consider a system of variables where each variable is defined as follows: r = d + 1; e = f + 10; d = 20; v = b + 17; s = a + 13; n = s + 4; a = d + 11; u = r + 1; p = n + 13; b = u + 11; f = p + 20; j = h + 6; h = v + 2. If d = 20, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"j": "f + 17", "w": "j + 17", "x": "w + 20", "q": "x + 6", "m": "q + 15", "a": "m + 9", "k": "f + 3", "c": "k + 10", "v": "c + 14", "d": "v + 7", "z": "d + 15", "e": "z + 2", "f": 16}, "premises": {"f": 16}, "target": "a"}, "answer": {"steps": [["m", "q + 15", "q + 24"], ["q", "x + 6", "x + 30"], ["x", "w + 20", "w + 50"], ["w", "j + 17", "j + 67"], ["j", "f + 17", "f + 84"], ["f", 16, "100"]], "target_var_name": "a", "target_value": 100, "value_dict": {"f": 16}, "is_reverse": true}} | 21,561 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = x + 6; e = z + 2; w = j + 17; v = c + 14; c = k + 10; z = d + 15; a = m + 9; m = q + 15; j = f + 17; d = v + 7; f = 16; k = f + 3; x = w + 20. Given that f = 16, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = q + 15 to a, which gives a = q + 24.\n2. Substitute q = x + 6 to a, which gives a = x + 30.\n3. Substitute x = w + 20 to a, which gives a = w + 50.\n4. Substitute w = j + 17 to a, which gives a = j + 67.\n5. Substitute j = f + 17 to a, which gives a = f + 84.\n6. Substitute f = 16 to a, which gives a = 100.\n\nThus, the final answer is a = \\boxed{100}.",
"index": 21561,
"question": "Suppose a collection of variables is related by the following definitions: q = x + 6; e = z + 2; w = j + 17; v = c + 14; c = k + 10; z = d + 15; a = m + 9; m = q + 15; j = f + 17; d = v + 7; f = 16; k = f + 3; x = w + 20. Given that f = 16, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"j": "f + 18", "m": "j + 15", "q": "m + 8", "c": "q + 15", "r": "c + 3", "g": "r + 13", "v": "f + 4", "s": "v + 10", "e": "s + 16", "z": "e + 16", "k": "z + 6", "h": "k + 16", "f": 8}, "premises": {"f": 8}, "target": "g"}, "answer": {"steps": [["r", "c + 3", "c + 16"], ["c", "q + 15", "q + 31"], ["q", "m + 8", "m + 39"], ["m", "j + 15", "j + 54"], ["j", "f + 18", "f + 72"], ["f", 8, "80"]], "target_var_name": "g", "target_value": 80, "value_dict": {"f": 8}, "is_reverse": true}} | 21,562 | 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 + 18; h = k + 16; e = s + 16; v = f + 4; k = z + 6; q = m + 8; g = r + 13; c = q + 15; f = 8; m = j + 15; r = c + 3; s = v + 10; z = e + 16. If f = 8, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = c + 3 to g, which gives g = c + 16.\n2. Substitute c = q + 15 to g, which gives g = q + 31.\n3. Substitute q = m + 8 to g, which gives g = m + 39.\n4. Substitute m = j + 15 to g, which gives g = j + 54.\n5. Substitute j = f + 18 to g, which gives g = f + 72.\n6. Substitute f = 8 to g, which gives g = 80.\n\nThus, the final answer is g = \\boxed{80}.",
"index": 21562,
"question": "Consider a system of variables where each variable is defined as follows: j = f + 18; h = k + 16; e = s + 16; v = f + 4; k = z + 6; q = m + 8; g = r + 13; c = q + 15; f = 8; m = j + 15; r = c + 3; s = v + 10; z = e + 16. If f = 8, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"l": "d + 19", "k": "l + 2", "q": "k + 14", "n": "q + 7", "m": "n + 4", "g": "m + 11", "t": "d + 16", "e": "t + 19", "f": "e + 2", "x": "f + 19", "y": "x + 20", "w": "y + 5", "d": 8}, "premises": {"d": 8}, "target": "g"}, "answer": {"steps": [["m", "n + 4", "n + 15"], ["n", "q + 7", "q + 22"], ["q", "k + 14", "k + 36"], ["k", "l + 2", "l + 38"], ["l", "d + 19", "d + 57"], ["d", 8, "65"]], "target_var_name": "g", "target_value": 65, "value_dict": {"d": 8}, "is_reverse": true}} | 21,563 | 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 = l + 2; x = f + 19; d = 8; q = k + 14; t = d + 16; g = m + 11; f = e + 2; n = q + 7; w = y + 5; l = d + 19; m = n + 4; e = t + 19; y = x + 20. If d = 8, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = n + 4 to g, which gives g = n + 15.\n2. Substitute n = q + 7 to g, which gives g = q + 22.\n3. Substitute q = k + 14 to g, which gives g = k + 36.\n4. Substitute k = l + 2 to g, which gives g = l + 38.\n5. Substitute l = d + 19 to g, which gives g = d + 57.\n6. Substitute d = 8 to g, which gives g = 65.\n\nThus, the final answer is g = \\boxed{65}.",
"index": 21563,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = l + 2; x = f + 19; d = 8; q = k + 14; t = d + 16; g = m + 11; f = e + 2; n = q + 7; w = y + 5; l = d + 19; m = n + 4; e = t + 19; y = x + 20. If d = 8, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"w": "s + 18", "r": "w + 17", "q": "r + 6", "f": "q + 19", "x": "f + 10", "o": "x + 18", "c": "s + 3", "a": "c + 6", "h": "a + 3", "k": "h + 12", "p": "k + 14", "e": "p + 1", "s": 20}, "premises": {"s": 20}, "target": "o"}, "answer": {"steps": [["x", "f + 10", "f + 28"], ["f", "q + 19", "q + 47"], ["q", "r + 6", "r + 53"], ["r", "w + 17", "w + 70"], ["w", "s + 18", "s + 88"], ["s", 20, "108"]], "target_var_name": "o", "target_value": 108, "value_dict": {"s": 20}, "is_reverse": true}} | 21,564 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = f + 10; q = r + 6; p = k + 14; c = s + 3; f = q + 19; r = w + 17; e = p + 1; w = s + 18; s = 20; h = a + 3; k = h + 12; o = x + 18; a = c + 6. If s = 20, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 108,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = f + 10 to o, which gives o = f + 28.\n2. Substitute f = q + 19 to o, which gives o = q + 47.\n3. Substitute q = r + 6 to o, which gives o = r + 53.\n4. Substitute r = w + 17 to o, which gives o = w + 70.\n5. Substitute w = s + 18 to o, which gives o = s + 88.\n6. Substitute s = 20 to o, which gives o = 108.\n\nThus, the final answer is o = \\boxed{108}.",
"index": 21564,
"question": "Consider a system of variables where each variable is defined as follows: x = f + 10; q = r + 6; p = k + 14; c = s + 3; f = q + 19; r = w + 17; e = p + 1; w = s + 18; s = 20; h = a + 3; k = h + 12; o = x + 18; a = c + 6. If s = 20, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"v": "p + 5", "q": "v + 5", "k": "q + 8", "o": "k + 16", "m": "o + 2", "f": "m + 19", "n": "p + 1", "x": "n + 2", "u": "x + 15", "j": "u + 1", "d": "j + 13", "i": "d + 8", "p": 9}, "premises": {"p": 9}, "target": "f"}, "answer": {"steps": [["m", "o + 2", "o + 21"], ["o", "k + 16", "k + 37"], ["k", "q + 8", "q + 45"], ["q", "v + 5", "v + 50"], ["v", "p + 5", "p + 55"], ["p", 9, "64"]], "target_var_name": "f", "target_value": 64, "value_dict": {"p": 9}, "is_reverse": true}} | 21,565 | 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 = p + 1; x = n + 2; o = k + 16; p = 9; u = x + 15; j = u + 1; q = v + 5; i = d + 8; k = q + 8; m = o + 2; v = p + 5; d = j + 13; f = m + 19. If p = 9, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = o + 2 to f, which gives f = o + 21.\n2. Substitute o = k + 16 to f, which gives f = k + 37.\n3. Substitute k = q + 8 to f, which gives f = q + 45.\n4. Substitute q = v + 5 to f, which gives f = v + 50.\n5. Substitute v = p + 5 to f, which gives f = p + 55.\n6. Substitute p = 9 to f, which gives f = 64.\n\nThus, the final answer is f = \\boxed{64}.",
"index": 21565,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = p + 1; x = n + 2; o = k + 16; p = 9; u = x + 15; j = u + 1; q = v + 5; i = d + 8; k = q + 8; m = o + 2; v = p + 5; d = j + 13; f = m + 19. If p = 9, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"d": "z + 2", "w": "d + 1", "p": "w + 15", "e": "p + 14", "n": "e + 3", "x": "n + 16", "h": "z + 4", "m": "h + 1", "b": "m + 6", "i": "b + 15", "c": "i + 15", "r": "c + 14", "z": 15}, "premises": {"z": 15}, "target": "x"}, "answer": {"steps": [["n", "e + 3", "e + 19"], ["e", "p + 14", "p + 33"], ["p", "w + 15", "w + 48"], ["w", "d + 1", "d + 49"], ["d", "z + 2", "z + 51"], ["z", 15, "66"]], "target_var_name": "x", "target_value": 66, "value_dict": {"z": 15}, "is_reverse": true}} | 21,566 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = w + 15; z = 15; n = e + 3; e = p + 14; b = m + 6; i = b + 15; r = c + 14; m = h + 1; c = i + 15; h = z + 4; w = d + 1; d = z + 2; x = n + 16. Given that z = 15, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = e + 3 to x, which gives x = e + 19.\n2. Substitute e = p + 14 to x, which gives x = p + 33.\n3. Substitute p = w + 15 to x, which gives x = w + 48.\n4. Substitute w = d + 1 to x, which gives x = d + 49.\n5. Substitute d = z + 2 to x, which gives x = z + 51.\n6. Substitute z = 15 to x, which gives x = 66.\n\nThus, the final answer is x = \\boxed{66}.",
"index": 21566,
"question": "Suppose a collection of variables is related by the following definitions: p = w + 15; z = 15; n = e + 3; e = p + 14; b = m + 6; i = b + 15; r = c + 14; m = h + 1; c = i + 15; h = z + 4; w = d + 1; d = z + 2; x = n + 16. Given that z = 15, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"k": "s + 1", "j": "k + 11", "g": "j + 20", "t": "g + 11", "z": "t + 13", "y": "z + 13", "u": "s + 19", "d": "u + 11", "i": "d + 5", "r": "i + 1", "e": "r + 16", "o": "e + 2", "s": 16}, "premises": {"s": 16}, "target": "y"}, "answer": {"steps": [["z", "t + 13", "t + 26"], ["t", "g + 11", "g + 37"], ["g", "j + 20", "j + 57"], ["j", "k + 11", "k + 68"], ["k", "s + 1", "s + 69"], ["s", 16, "85"]], "target_var_name": "y", "target_value": 85, "value_dict": {"s": 16}, "is_reverse": true}} | 21,567 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = z + 13; r = i + 1; i = d + 5; o = e + 2; k = s + 1; t = g + 11; g = j + 20; z = t + 13; u = s + 19; d = u + 11; j = k + 11; e = r + 16; s = 16. If s = 16, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = t + 13 to y, which gives y = t + 26.\n2. Substitute t = g + 11 to y, which gives y = g + 37.\n3. Substitute g = j + 20 to y, which gives y = j + 57.\n4. Substitute j = k + 11 to y, which gives y = k + 68.\n5. Substitute k = s + 1 to y, which gives y = s + 69.\n6. Substitute s = 16 to y, which gives y = 85.\n\nThus, the final answer is y = \\boxed{85}.",
"index": 21567,
"question": "Consider a system of variables where each variable is defined as follows: y = z + 13; r = i + 1; i = d + 5; o = e + 2; k = s + 1; t = g + 11; g = j + 20; z = t + 13; u = s + 19; d = u + 11; j = k + 11; e = r + 16; s = 16. If s = 16, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"d": "x + 18", "b": "d + 13", "h": "b + 19", "r": "h + 7", "m": "r + 15", "q": "m + 11", "p": "x + 18", "a": "p + 16", "z": "a + 3", "w": "z + 9", "n": "w + 2", "e": "n + 14", "x": 1}, "premises": {"x": 1}, "target": "q"}, "answer": {"steps": [["m", "r + 15", "r + 26"], ["r", "h + 7", "h + 33"], ["h", "b + 19", "b + 52"], ["b", "d + 13", "d + 65"], ["d", "x + 18", "x + 83"], ["x", 1, "84"]], "target_var_name": "q", "target_value": 84, "value_dict": {"x": 1}, "is_reverse": true}} | 21,568 | 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 = x + 18; b = d + 13; m = r + 15; w = z + 9; h = b + 19; a = p + 16; p = x + 18; r = h + 7; x = 1; q = m + 11; z = a + 3; e = n + 14; n = w + 2. If x = 1, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = r + 15 to q, which gives q = r + 26.\n2. Substitute r = h + 7 to q, which gives q = h + 33.\n3. Substitute h = b + 19 to q, which gives q = b + 52.\n4. Substitute b = d + 13 to q, which gives q = d + 65.\n5. Substitute d = x + 18 to q, which gives q = x + 83.\n6. Substitute x = 1 to q, which gives q = 84.\n\nThus, the final answer is q = \\boxed{84}.",
"index": 21568,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = x + 18; b = d + 13; m = r + 15; w = z + 9; h = b + 19; a = p + 16; p = x + 18; r = h + 7; x = 1; q = m + 11; z = a + 3; e = n + 14; n = w + 2. If x = 1, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"f": "n + 9", "l": "f + 13", "c": "l + 3", "p": "c + 10", "u": "p + 1", "g": "u + 5", "x": "n + 14", "d": "x + 18", "b": "d + 4", "i": "b + 10", "h": "i + 3", "v": "h + 1", "n": 1}, "premises": {"n": 1}, "target": "g"}, "answer": {"steps": [["u", "p + 1", "p + 6"], ["p", "c + 10", "c + 16"], ["c", "l + 3", "l + 19"], ["l", "f + 13", "f + 32"], ["f", "n + 9", "n + 41"], ["n", 1, "42"]], "target_var_name": "g", "target_value": 42, "value_dict": {"n": 1}, "is_reverse": true}} | 21,569 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = x + 18; b = d + 4; u = p + 1; h = i + 3; v = h + 1; c = l + 3; x = n + 14; f = n + 9; i = b + 10; n = 1; p = c + 10; l = f + 13; g = u + 5. Given that n = 1, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 42,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = p + 1 to g, which gives g = p + 6.\n2. Substitute p = c + 10 to g, which gives g = c + 16.\n3. Substitute c = l + 3 to g, which gives g = l + 19.\n4. Substitute l = f + 13 to g, which gives g = f + 32.\n5. Substitute f = n + 9 to g, which gives g = n + 41.\n6. Substitute n = 1 to g, which gives g = 42.\n\nThus, the final answer is g = \\boxed{42}.",
"index": 21569,
"question": "Suppose a collection of variables is related by the following definitions: d = x + 18; b = d + 4; u = p + 1; h = i + 3; v = h + 1; c = l + 3; x = n + 14; f = n + 9; i = b + 10; n = 1; p = c + 10; l = f + 13; g = u + 5. Given that n = 1, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"j": "p + 4", "t": "j + 10", "m": "t + 10", "u": "m + 13", "s": "u + 1", "w": "s + 7", "g": "p + 20", "y": "g + 9", "r": "y + 9", "f": "r + 20", "l": "f + 6", "o": "l + 14", "p": 10}, "premises": {"p": 10}, "target": "w"}, "answer": {"steps": [["s", "u + 1", "u + 8"], ["u", "m + 13", "m + 21"], ["m", "t + 10", "t + 31"], ["t", "j + 10", "j + 41"], ["j", "p + 4", "p + 45"], ["p", 10, "55"]], "target_var_name": "w", "target_value": 55, "value_dict": {"p": 10}, "is_reverse": true}} | 21,570 | 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 = t + 10; o = l + 14; r = y + 9; s = u + 1; l = f + 6; g = p + 20; j = p + 4; t = j + 10; f = r + 20; p = 10; u = m + 13; y = g + 9; w = s + 7. If p = 10, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = u + 1 to w, which gives w = u + 8.\n2. Substitute u = m + 13 to w, which gives w = m + 21.\n3. Substitute m = t + 10 to w, which gives w = t + 31.\n4. Substitute t = j + 10 to w, which gives w = j + 41.\n5. Substitute j = p + 4 to w, which gives w = p + 45.\n6. Substitute p = 10 to w, which gives w = 55.\n\nThus, the final answer is w = \\boxed{55}.",
"index": 21570,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = t + 10; o = l + 14; r = y + 9; s = u + 1; l = f + 6; g = p + 20; j = p + 4; t = j + 10; f = r + 20; p = 10; u = m + 13; y = g + 9; w = s + 7. If p = 10, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"w": "g + 4", "p": "w + 19", "n": "p + 5", "d": "n + 18", "v": "d + 7", "h": "v + 18", "a": "g + 6", "o": "a + 3", "r": "o + 6", "z": "r + 20", "l": "z + 17", "s": "l + 13", "g": 18}, "premises": {"g": 18}, "target": "h"}, "answer": {"steps": [["v", "d + 7", "d + 25"], ["d", "n + 18", "n + 43"], ["n", "p + 5", "p + 48"], ["p", "w + 19", "w + 67"], ["w", "g + 4", "g + 71"], ["g", 18, "89"]], "target_var_name": "h", "target_value": 89, "value_dict": {"g": 18}, "is_reverse": true}} | 21,571 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = v + 18; o = a + 3; w = g + 4; n = p + 5; a = g + 6; s = l + 13; l = z + 17; d = n + 18; r = o + 6; g = 18; v = d + 7; z = r + 20; p = w + 19. If g = 18, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = d + 7 to h, which gives h = d + 25.\n2. Substitute d = n + 18 to h, which gives h = n + 43.\n3. Substitute n = p + 5 to h, which gives h = p + 48.\n4. Substitute p = w + 19 to h, which gives h = w + 67.\n5. Substitute w = g + 4 to h, which gives h = g + 71.\n6. Substitute g = 18 to h, which gives h = 89.\n\nThus, the final answer is h = \\boxed{89}.",
"index": 21571,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = v + 18; o = a + 3; w = g + 4; n = p + 5; a = g + 6; s = l + 13; l = z + 17; d = n + 18; r = o + 6; g = 18; v = d + 7; z = r + 20; p = w + 19. If g = 18, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"k": "d + 2", "w": "k + 15", "m": "w + 2", "p": "m + 6", "r": "p + 10", "v": "r + 15", "q": "d + 17", "l": "q + 10", "e": "l + 7", "n": "e + 3", "z": "n + 20", "y": "z + 20", "d": 3}, "premises": {"d": 3}, "target": "v"}, "answer": {"steps": [["r", "p + 10", "p + 25"], ["p", "m + 6", "m + 31"], ["m", "w + 2", "w + 33"], ["w", "k + 15", "k + 48"], ["k", "d + 2", "d + 50"], ["d", 3, "53"]], "target_var_name": "v", "target_value": 53, "value_dict": {"d": 3}, "is_reverse": true}} | 21,572 | 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 = 3; q = d + 17; z = n + 20; r = p + 10; w = k + 15; k = d + 2; y = z + 20; l = q + 10; n = e + 3; p = m + 6; e = l + 7; v = r + 15; m = w + 2. If d = 3, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = p + 10 to v, which gives v = p + 25.\n2. Substitute p = m + 6 to v, which gives v = m + 31.\n3. Substitute m = w + 2 to v, which gives v = w + 33.\n4. Substitute w = k + 15 to v, which gives v = k + 48.\n5. Substitute k = d + 2 to v, which gives v = d + 50.\n6. Substitute d = 3 to v, which gives v = 53.\n\nThus, the final answer is v = \\boxed{53}.",
"index": 21572,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = 3; q = d + 17; z = n + 20; r = p + 10; w = k + 15; k = d + 2; y = z + 20; l = q + 10; n = e + 3; p = m + 6; e = l + 7; v = r + 15; m = w + 2. If d = 3, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"x": "f + 16", "s": "x + 10", "y": "s + 15", "r": "y + 8", "o": "r + 11", "b": "o + 17", "d": "f + 1", "v": "d + 8", "l": "v + 9", "w": "l + 2", "m": "w + 7", "h": "m + 5", "f": 7}, "premises": {"f": 7}, "target": "b"}, "answer": {"steps": [["o", "r + 11", "r + 28"], ["r", "y + 8", "y + 36"], ["y", "s + 15", "s + 51"], ["s", "x + 10", "x + 61"], ["x", "f + 16", "f + 77"], ["f", 7, "84"]], "target_var_name": "b", "target_value": 84, "value_dict": {"f": 7}, "is_reverse": true}} | 21,573 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = l + 2; y = s + 15; b = o + 17; r = y + 8; l = v + 9; o = r + 11; h = m + 5; v = d + 8; f = 7; x = f + 16; m = w + 7; d = f + 1; s = x + 10. If f = 7, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = r + 11 to b, which gives b = r + 28.\n2. Substitute r = y + 8 to b, which gives b = y + 36.\n3. Substitute y = s + 15 to b, which gives b = s + 51.\n4. Substitute s = x + 10 to b, which gives b = x + 61.\n5. Substitute x = f + 16 to b, which gives b = f + 77.\n6. Substitute f = 7 to b, which gives b = 84.\n\nThus, the final answer is b = \\boxed{84}.",
"index": 21573,
"question": "Consider a system of variables where each variable is defined as follows: w = l + 2; y = s + 15; b = o + 17; r = y + 8; l = v + 9; o = r + 11; h = m + 5; v = d + 8; f = 7; x = f + 16; m = w + 7; d = f + 1; s = x + 10. If f = 7, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"u": "j + 11", "x": "u + 3", "b": "x + 5", "d": "b + 4", "e": "d + 13", "w": "e + 6", "c": "j + 1", "m": "c + 7", "n": "m + 10", "h": "n + 10", "v": "h + 18", "p": "v + 15", "j": 8}, "premises": {"j": 8}, "target": "w"}, "answer": {"steps": [["e", "d + 13", "d + 19"], ["d", "b + 4", "b + 23"], ["b", "x + 5", "x + 28"], ["x", "u + 3", "u + 31"], ["u", "j + 11", "j + 42"], ["j", 8, "50"]], "target_var_name": "w", "target_value": 50, "value_dict": {"j": 8}, "is_reverse": true}} | 21,574 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = c + 7; x = u + 3; w = e + 6; c = j + 1; h = n + 10; u = j + 11; v = h + 18; b = x + 5; n = m + 10; e = d + 13; p = v + 15; j = 8; d = b + 4. Given that j = 8, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = d + 13 to w, which gives w = d + 19.\n2. Substitute d = b + 4 to w, which gives w = b + 23.\n3. Substitute b = x + 5 to w, which gives w = x + 28.\n4. Substitute x = u + 3 to w, which gives w = u + 31.\n5. Substitute u = j + 11 to w, which gives w = j + 42.\n6. Substitute j = 8 to w, which gives w = 50.\n\nThus, the final answer is w = \\boxed{50}.",
"index": 21574,
"question": "Suppose a collection of variables is related by the following definitions: m = c + 7; x = u + 3; w = e + 6; c = j + 1; h = n + 10; u = j + 11; v = h + 18; b = x + 5; n = m + 10; e = d + 13; p = v + 15; j = 8; d = b + 4. Given that j = 8, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"b": "r + 20", "p": "b + 7", "d": "p + 9", "s": "d + 16", "k": "s + 14", "m": "k + 11", "g": "r + 20", "i": "g + 3", "x": "i + 6", "u": "x + 16", "c": "u + 15", "l": "c + 15", "r": 6}, "premises": {"r": 6}, "target": "m"}, "answer": {"steps": [["k", "s + 14", "s + 25"], ["s", "d + 16", "d + 41"], ["d", "p + 9", "p + 50"], ["p", "b + 7", "b + 57"], ["b", "r + 20", "r + 77"], ["r", 6, "83"]], "target_var_name": "m", "target_value": 83, "value_dict": {"r": 6}, "is_reverse": true}} | 21,575 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = g + 3; g = r + 20; l = c + 15; m = k + 11; b = r + 20; u = x + 16; s = d + 16; d = p + 9; k = s + 14; x = i + 6; p = b + 7; r = 6; c = u + 15. If r = 6, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = s + 14 to m, which gives m = s + 25.\n2. Substitute s = d + 16 to m, which gives m = d + 41.\n3. Substitute d = p + 9 to m, which gives m = p + 50.\n4. Substitute p = b + 7 to m, which gives m = b + 57.\n5. Substitute b = r + 20 to m, which gives m = r + 77.\n6. Substitute r = 6 to m, which gives m = 83.\n\nThus, the final answer is m = \\boxed{83}.",
"index": 21575,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = g + 3; g = r + 20; l = c + 15; m = k + 11; b = r + 20; u = x + 16; s = d + 16; d = p + 9; k = s + 14; x = i + 6; p = b + 7; r = 6; c = u + 15. If r = 6, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"u": "p + 19", "z": "u + 5", "k": "z + 13", "h": "k + 13", "f": "h + 4", "x": "f + 19", "l": "p + 3", "w": "l + 13", "g": "w + 7", "d": "g + 8", "e": "d + 7", "a": "e + 19", "p": 16}, "premises": {"p": 16}, "target": "x"}, "answer": {"steps": [["f", "h + 4", "h + 23"], ["h", "k + 13", "k + 36"], ["k", "z + 13", "z + 49"], ["z", "u + 5", "u + 54"], ["u", "p + 19", "p + 73"], ["p", 16, "89"]], "target_var_name": "x", "target_value": 89, "value_dict": {"p": 16}, "is_reverse": true}} | 21,576 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = p + 19; f = h + 4; a = e + 19; k = z + 13; e = d + 7; h = k + 13; w = l + 13; p = 16; d = g + 8; z = u + 5; x = f + 19; l = p + 3; g = w + 7. Given that p = 16, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = h + 4 to x, which gives x = h + 23.\n2. Substitute h = k + 13 to x, which gives x = k + 36.\n3. Substitute k = z + 13 to x, which gives x = z + 49.\n4. Substitute z = u + 5 to x, which gives x = u + 54.\n5. Substitute u = p + 19 to x, which gives x = p + 73.\n6. Substitute p = 16 to x, which gives x = 89.\n\nThus, the final answer is x = \\boxed{89}.",
"index": 21576,
"question": "Suppose a collection of variables is related by the following definitions: u = p + 19; f = h + 4; a = e + 19; k = z + 13; e = d + 7; h = k + 13; w = l + 13; p = 16; d = g + 8; z = u + 5; x = f + 19; l = p + 3; g = w + 7. Given that p = 16, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"o": "v + 8", "q": "o + 11", "t": "q + 13", "j": "t + 7", "b": "j + 5", "c": "b + 12", "f": "v + 7", "g": "f + 5", "l": "g + 20", "k": "l + 1", "d": "k + 12", "i": "d + 8", "v": 18}, "premises": {"v": 18}, "target": "c"}, "answer": {"steps": [["b", "j + 5", "j + 17"], ["j", "t + 7", "t + 24"], ["t", "q + 13", "q + 37"], ["q", "o + 11", "o + 48"], ["o", "v + 8", "v + 56"], ["v", 18, "74"]], "target_var_name": "c", "target_value": 74, "value_dict": {"v": 18}, "is_reverse": true}} | 21,577 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = o + 11; b = j + 5; c = b + 12; d = k + 12; o = v + 8; j = t + 7; i = d + 8; k = l + 1; g = f + 5; f = v + 7; l = g + 20; t = q + 13; v = 18. If v = 18, 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 b = j + 5 to c, which gives c = j + 17.\n2. Substitute j = t + 7 to c, which gives c = t + 24.\n3. Substitute t = q + 13 to c, which gives c = q + 37.\n4. Substitute q = o + 11 to c, which gives c = o + 48.\n5. Substitute o = v + 8 to c, which gives c = v + 56.\n6. Substitute v = 18 to c, which gives c = 74.\n\nThus, the final answer is c = \\boxed{74}.",
"index": 21577,
"question": "Consider a system of variables where each variable is defined as follows: q = o + 11; b = j + 5; c = b + 12; d = k + 12; o = v + 8; j = t + 7; i = d + 8; k = l + 1; g = f + 5; f = v + 7; l = g + 20; t = q + 13; v = 18. If v = 18, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"r": "w + 9", "t": "r + 8", "h": "t + 11", "m": "h + 5", "q": "m + 4", "c": "q + 17", "v": "w + 4", "i": "v + 15", "o": "i + 6", "b": "o + 10", "p": "b + 12", "u": "p + 16", "w": 8}, "premises": {"w": 8}, "target": "c"}, "answer": {"steps": [["q", "m + 4", "m + 21"], ["m", "h + 5", "h + 26"], ["h", "t + 11", "t + 37"], ["t", "r + 8", "r + 45"], ["r", "w + 9", "w + 54"], ["w", 8, "62"]], "target_var_name": "c", "target_value": 62, "value_dict": {"w": 8}, "is_reverse": true}} | 21,578 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = 8; p = b + 12; u = p + 16; o = i + 6; m = h + 5; t = r + 8; r = w + 9; q = m + 4; v = w + 4; c = q + 17; h = t + 11; b = o + 10; i = v + 15. If w = 8, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = m + 4 to c, which gives c = m + 21.\n2. Substitute m = h + 5 to c, which gives c = h + 26.\n3. Substitute h = t + 11 to c, which gives c = t + 37.\n4. Substitute t = r + 8 to c, which gives c = r + 45.\n5. Substitute r = w + 9 to c, which gives c = w + 54.\n6. Substitute w = 8 to c, which gives c = 62.\n\nThus, the final answer is c = \\boxed{62}.",
"index": 21578,
"question": "Consider a system of variables where each variable is defined as follows: w = 8; p = b + 12; u = p + 16; o = i + 6; m = h + 5; t = r + 8; r = w + 9; q = m + 4; v = w + 4; c = q + 17; h = t + 11; b = o + 10; i = v + 15. If w = 8, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"g": "j + 7", "b": "g + 10", "q": "b + 7", "x": "q + 17", "r": "x + 5", "s": "r + 5", "m": "j + 9", "n": "m + 8", "y": "n + 19", "i": "y + 6", "p": "i + 11", "h": "p + 3", "j": 6}, "premises": {"j": 6}, "target": "s"}, "answer": {"steps": [["r", "x + 5", "x + 10"], ["x", "q + 17", "q + 27"], ["q", "b + 7", "b + 34"], ["b", "g + 10", "g + 44"], ["g", "j + 7", "j + 51"], ["j", 6, "57"]], "target_var_name": "s", "target_value": 57, "value_dict": {"j": 6}, "is_reverse": true}} | 21,579 | 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 = n + 19; n = m + 8; p = i + 11; r = x + 5; h = p + 3; g = j + 7; x = q + 17; j = 6; m = j + 9; b = g + 10; i = y + 6; q = b + 7; s = r + 5. If j = 6, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = x + 5 to s, which gives s = x + 10.\n2. Substitute x = q + 17 to s, which gives s = q + 27.\n3. Substitute q = b + 7 to s, which gives s = b + 34.\n4. Substitute b = g + 10 to s, which gives s = g + 44.\n5. Substitute g = j + 7 to s, which gives s = j + 51.\n6. Substitute j = 6 to s, which gives s = 57.\n\nThus, the final answer is s = \\boxed{57}.",
"index": 21579,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = n + 19; n = m + 8; p = i + 11; r = x + 5; h = p + 3; g = j + 7; x = q + 17; j = 6; m = j + 9; b = g + 10; i = y + 6; q = b + 7; s = r + 5. If j = 6, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"k": "a + 18", "n": "k + 2", "g": "n + 12", "r": "g + 17", "q": "r + 1", "u": "q + 11", "p": "a + 11", "i": "p + 10", "s": "i + 2", "w": "s + 1", "e": "w + 11", "v": "e + 12", "a": 1}, "premises": {"a": 1}, "target": "u"}, "answer": {"steps": [["q", "r + 1", "r + 12"], ["r", "g + 17", "g + 29"], ["g", "n + 12", "n + 41"], ["n", "k + 2", "k + 43"], ["k", "a + 18", "a + 61"], ["a", 1, "62"]], "target_var_name": "u", "target_value": 62, "value_dict": {"a": 1}, "is_reverse": true}} | 21,580 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = q + 11; s = i + 2; k = a + 18; n = k + 2; g = n + 12; e = w + 11; v = e + 12; w = s + 1; q = r + 1; i = p + 10; r = g + 17; p = a + 11; a = 1. Given that a = 1, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = r + 1 to u, which gives u = r + 12.\n2. Substitute r = g + 17 to u, which gives u = g + 29.\n3. Substitute g = n + 12 to u, which gives u = n + 41.\n4. Substitute n = k + 2 to u, which gives u = k + 43.\n5. Substitute k = a + 18 to u, which gives u = a + 61.\n6. Substitute a = 1 to u, which gives u = 62.\n\nThus, the final answer is u = \\boxed{62}.",
"index": 21580,
"question": "Suppose a collection of variables is related by the following definitions: u = q + 11; s = i + 2; k = a + 18; n = k + 2; g = n + 12; e = w + 11; v = e + 12; w = s + 1; q = r + 1; i = p + 10; r = g + 17; p = a + 11; a = 1. Given that a = 1, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"a": "r + 2", "h": "a + 19", "e": "h + 12", "x": "e + 5", "v": "x + 17", "g": "v + 12", "w": "r + 15", "o": "w + 20", "d": "o + 14", "s": "d + 3", "m": "s + 6", "j": "m + 8", "r": 10}, "premises": {"r": 10}, "target": "g"}, "answer": {"steps": [["v", "x + 17", "x + 29"], ["x", "e + 5", "e + 34"], ["e", "h + 12", "h + 46"], ["h", "a + 19", "a + 65"], ["a", "r + 2", "r + 67"], ["r", 10, "77"]], "target_var_name": "g", "target_value": 77, "value_dict": {"r": 10}, "is_reverse": true}} | 21,581 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = r + 2; j = m + 8; o = w + 20; s = d + 3; r = 10; d = o + 14; h = a + 19; e = h + 12; m = s + 6; v = x + 17; g = v + 12; w = r + 15; x = e + 5. Given that r = 10, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = x + 17 to g, which gives g = x + 29.\n2. Substitute x = e + 5 to g, which gives g = e + 34.\n3. Substitute e = h + 12 to g, which gives g = h + 46.\n4. Substitute h = a + 19 to g, which gives g = a + 65.\n5. Substitute a = r + 2 to g, which gives g = r + 67.\n6. Substitute r = 10 to g, which gives g = 77.\n\nThus, the final answer is g = \\boxed{77}.",
"index": 21581,
"question": "Suppose a collection of variables is related by the following definitions: a = r + 2; j = m + 8; o = w + 20; s = d + 3; r = 10; d = o + 14; h = a + 19; e = h + 12; m = s + 6; v = x + 17; g = v + 12; w = r + 15; x = e + 5. Given that r = 10, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"h": "b + 8", "e": "h + 1", "i": "e + 11", "p": "i + 17", "m": "p + 7", "a": "m + 3", "q": "b + 2", "t": "q + 8", "w": "t + 12", "c": "w + 20", "g": "c + 19", "d": "g + 6", "b": 12}, "premises": {"b": 12}, "target": "a"}, "answer": {"steps": [["m", "p + 7", "p + 10"], ["p", "i + 17", "i + 27"], ["i", "e + 11", "e + 38"], ["e", "h + 1", "h + 39"], ["h", "b + 8", "b + 47"], ["b", 12, "59"]], "target_var_name": "a", "target_value": 59, "value_dict": {"b": 12}, "is_reverse": true}} | 21,582 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = p + 7; p = i + 17; d = g + 6; a = m + 3; g = c + 19; e = h + 1; h = b + 8; b = 12; w = t + 12; c = w + 20; t = q + 8; q = b + 2; i = e + 11. Given that b = 12, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = p + 7 to a, which gives a = p + 10.\n2. Substitute p = i + 17 to a, which gives a = i + 27.\n3. Substitute i = e + 11 to a, which gives a = e + 38.\n4. Substitute e = h + 1 to a, which gives a = h + 39.\n5. Substitute h = b + 8 to a, which gives a = b + 47.\n6. Substitute b = 12 to a, which gives a = 59.\n\nThus, the final answer is a = \\boxed{59}.",
"index": 21582,
"question": "Suppose a collection of variables is related by the following definitions: m = p + 7; p = i + 17; d = g + 6; a = m + 3; g = c + 19; e = h + 1; h = b + 8; b = 12; w = t + 12; c = w + 20; t = q + 8; q = b + 2; i = e + 11. Given that b = 12, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"x": "h + 9", "m": "x + 15", "k": "m + 19", "d": "k + 17", "o": "d + 11", "b": "o + 8", "u": "h + 10", "v": "u + 8", "j": "v + 16", "w": "j + 11", "t": "w + 16", "e": "t + 14", "h": 11}, "premises": {"h": 11}, "target": "b"}, "answer": {"steps": [["o", "d + 11", "d + 19"], ["d", "k + 17", "k + 36"], ["k", "m + 19", "m + 55"], ["m", "x + 15", "x + 70"], ["x", "h + 9", "h + 79"], ["h", 11, "90"]], "target_var_name": "b", "target_value": 90, "value_dict": {"h": 11}, "is_reverse": true}} | 21,583 | 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 = k + 17; t = w + 16; v = u + 8; o = d + 11; k = m + 19; w = j + 11; m = x + 15; x = h + 9; u = h + 10; b = o + 8; e = t + 14; h = 11; j = v + 16. If h = 11, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = d + 11 to b, which gives b = d + 19.\n2. Substitute d = k + 17 to b, which gives b = k + 36.\n3. Substitute k = m + 19 to b, which gives b = m + 55.\n4. Substitute m = x + 15 to b, which gives b = x + 70.\n5. Substitute x = h + 9 to b, which gives b = h + 79.\n6. Substitute h = 11 to b, which gives b = 90.\n\nThus, the final answer is b = \\boxed{90}.",
"index": 21583,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = k + 17; t = w + 16; v = u + 8; o = d + 11; k = m + 19; w = j + 11; m = x + 15; x = h + 9; u = h + 10; b = o + 8; e = t + 14; h = 11; j = v + 16. If h = 11, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"v": "i + 19", "h": "v + 18", "t": "h + 12", "j": "t + 2", "r": "j + 5", "f": "r + 15", "e": "i + 15", "m": "e + 11", "k": "m + 1", "s": "k + 9", "w": "s + 8", "l": "w + 17", "i": 19}, "premises": {"i": 19}, "target": "f"}, "answer": {"steps": [["r", "j + 5", "j + 20"], ["j", "t + 2", "t + 22"], ["t", "h + 12", "h + 34"], ["h", "v + 18", "v + 52"], ["v", "i + 19", "i + 71"], ["i", 19, "90"]], "target_var_name": "f", "target_value": 90, "value_dict": {"i": 19}, "is_reverse": true}} | 21,584 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = s + 8; j = t + 2; f = r + 15; k = m + 1; m = e + 11; l = w + 17; i = 19; h = v + 18; v = i + 19; s = k + 9; t = h + 12; r = j + 5; e = i + 15. Given that i = 19, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = j + 5 to f, which gives f = j + 20.\n2. Substitute j = t + 2 to f, which gives f = t + 22.\n3. Substitute t = h + 12 to f, which gives f = h + 34.\n4. Substitute h = v + 18 to f, which gives f = v + 52.\n5. Substitute v = i + 19 to f, which gives f = i + 71.\n6. Substitute i = 19 to f, which gives f = 90.\n\nThus, the final answer is f = \\boxed{90}.",
"index": 21584,
"question": "Suppose a collection of variables is related by the following definitions: w = s + 8; j = t + 2; f = r + 15; k = m + 1; m = e + 11; l = w + 17; i = 19; h = v + 18; v = i + 19; s = k + 9; t = h + 12; r = j + 5; e = i + 15. Given that i = 19, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"n": "e + 5", "u": "n + 18", "c": "u + 8", "m": "c + 1", "a": "m + 12", "i": "a + 2", "g": "e + 8", "t": "g + 5", "s": "t + 18", "b": "s + 15", "r": "b + 12", "h": "r + 18", "e": 3}, "premises": {"e": 3}, "target": "i"}, "answer": {"steps": [["a", "m + 12", "m + 14"], ["m", "c + 1", "c + 15"], ["c", "u + 8", "u + 23"], ["u", "n + 18", "n + 41"], ["n", "e + 5", "e + 46"], ["e", 3, "49"]], "target_var_name": "i", "target_value": 49, "value_dict": {"e": 3}, "is_reverse": true}} | 21,585 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = m + 12; r = b + 12; m = c + 1; c = u + 8; b = s + 15; t = g + 5; i = a + 2; n = e + 5; g = e + 8; e = 3; s = t + 18; h = r + 18; u = n + 18. If e = 3, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = m + 12 to i, which gives i = m + 14.\n2. Substitute m = c + 1 to i, which gives i = c + 15.\n3. Substitute c = u + 8 to i, which gives i = u + 23.\n4. Substitute u = n + 18 to i, which gives i = n + 41.\n5. Substitute n = e + 5 to i, which gives i = e + 46.\n6. Substitute e = 3 to i, which gives i = 49.\n\nThus, the final answer is i = \\boxed{49}.",
"index": 21585,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = m + 12; r = b + 12; m = c + 1; c = u + 8; b = s + 15; t = g + 5; i = a + 2; n = e + 5; g = e + 8; e = 3; s = t + 18; h = r + 18; u = n + 18. If e = 3, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"w": "j + 4", "n": "w + 8", "e": "n + 16", "d": "e + 16", "h": "d + 16", "p": "h + 5", "b": "j + 2", "x": "b + 1", "y": "x + 18", "l": "y + 10", "k": "l + 18", "i": "k + 8", "j": 2}, "premises": {"j": 2}, "target": "p"}, "answer": {"steps": [["h", "d + 16", "d + 21"], ["d", "e + 16", "e + 37"], ["e", "n + 16", "n + 53"], ["n", "w + 8", "w + 61"], ["w", "j + 4", "j + 65"], ["j", 2, "67"]], "target_var_name": "p", "target_value": 67, "value_dict": {"j": 2}, "is_reverse": true}} | 21,586 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = e + 16; b = j + 2; j = 2; n = w + 8; k = l + 18; e = n + 16; x = b + 1; w = j + 4; i = k + 8; p = h + 5; h = d + 16; y = x + 18; l = y + 10. Given that j = 2, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = d + 16 to p, which gives p = d + 21.\n2. Substitute d = e + 16 to p, which gives p = e + 37.\n3. Substitute e = n + 16 to p, which gives p = n + 53.\n4. Substitute n = w + 8 to p, which gives p = w + 61.\n5. Substitute w = j + 4 to p, which gives p = j + 65.\n6. Substitute j = 2 to p, which gives p = 67.\n\nThus, the final answer is p = \\boxed{67}.",
"index": 21586,
"question": "Suppose a collection of variables is related by the following definitions: d = e + 16; b = j + 2; j = 2; n = w + 8; k = l + 18; e = n + 16; x = b + 1; w = j + 4; i = k + 8; p = h + 5; h = d + 16; y = x + 18; l = y + 10. Given that j = 2, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"f": "d + 10", "i": "f + 19", "o": "i + 9", "e": "o + 7", "u": "e + 9", "j": "u + 10", "s": "d + 9", "w": "s + 14", "v": "w + 10", "q": "v + 8", "z": "q + 3", "g": "z + 13", "d": 14}, "premises": {"d": 14}, "target": "j"}, "answer": {"steps": [["u", "e + 9", "e + 19"], ["e", "o + 7", "o + 26"], ["o", "i + 9", "i + 35"], ["i", "f + 19", "f + 54"], ["f", "d + 10", "d + 64"], ["d", 14, "78"]], "target_var_name": "j", "target_value": 78, "value_dict": {"d": 14}, "is_reverse": true}} | 21,587 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = 14; w = s + 14; o = i + 9; v = w + 10; q = v + 8; f = d + 10; i = f + 19; z = q + 3; g = z + 13; u = e + 9; j = u + 10; s = d + 9; e = o + 7. Given that d = 14, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = e + 9 to j, which gives j = e + 19.\n2. Substitute e = o + 7 to j, which gives j = o + 26.\n3. Substitute o = i + 9 to j, which gives j = i + 35.\n4. Substitute i = f + 19 to j, which gives j = f + 54.\n5. Substitute f = d + 10 to j, which gives j = d + 64.\n6. Substitute d = 14 to j, which gives j = 78.\n\nThus, the final answer is j = \\boxed{78}.",
"index": 21587,
"question": "Suppose a collection of variables is related by the following definitions: d = 14; w = s + 14; o = i + 9; v = w + 10; q = v + 8; f = d + 10; i = f + 19; z = q + 3; g = z + 13; u = e + 9; j = u + 10; s = d + 9; e = o + 7. Given that d = 14, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"w": "g + 13", "c": "w + 17", "b": "c + 5", "d": "b + 9", "s": "d + 13", "q": "s + 15", "l": "g + 4", "f": "l + 17", "n": "f + 2", "y": "n + 2", "u": "y + 1", "e": "u + 13", "g": 14}, "premises": {"g": 14}, "target": "q"}, "answer": {"steps": [["s", "d + 13", "d + 28"], ["d", "b + 9", "b + 37"], ["b", "c + 5", "c + 42"], ["c", "w + 17", "w + 59"], ["w", "g + 13", "g + 72"], ["g", 14, "86"]], "target_var_name": "q", "target_value": 86, "value_dict": {"g": 14}, "is_reverse": true}} | 21,588 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = l + 17; w = g + 13; q = s + 15; g = 14; e = u + 13; b = c + 5; s = d + 13; d = b + 9; n = f + 2; y = n + 2; u = y + 1; l = g + 4; c = w + 17. Given that g = 14, find the 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 s = d + 13 to q, which gives q = d + 28.\n2. Substitute d = b + 9 to q, which gives q = b + 37.\n3. Substitute b = c + 5 to q, which gives q = c + 42.\n4. Substitute c = w + 17 to q, which gives q = w + 59.\n5. Substitute w = g + 13 to q, which gives q = g + 72.\n6. Substitute g = 14 to q, which gives q = 86.\n\nThus, the final answer is q = \\boxed{86}.",
"index": 21588,
"question": "Suppose a collection of variables is related by the following definitions: f = l + 17; w = g + 13; q = s + 15; g = 14; e = u + 13; b = c + 5; s = d + 13; d = b + 9; n = f + 2; y = n + 2; u = y + 1; l = g + 4; c = w + 17. Given that g = 14, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"o": "v + 20", "n": "o + 14", "r": "n + 9", "t": "r + 10", "q": "t + 11", "s": "q + 14", "a": "v + 9", "m": "a + 14", "k": "m + 3", "j": "k + 6", "w": "j + 3", "l": "w + 6", "v": 6}, "premises": {"v": 6}, "target": "s"}, "answer": {"steps": [["q", "t + 11", "t + 25"], ["t", "r + 10", "r + 35"], ["r", "n + 9", "n + 44"], ["n", "o + 14", "o + 58"], ["o", "v + 20", "v + 78"], ["v", 6, "84"]], "target_var_name": "s", "target_value": 84, "value_dict": {"v": 6}, "is_reverse": true}} | 21,589 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = q + 14; a = v + 9; m = a + 14; n = o + 14; l = w + 6; k = m + 3; o = v + 20; q = t + 11; v = 6; j = k + 6; t = r + 10; w = j + 3; r = n + 9. If v = 6, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = t + 11 to s, which gives s = t + 25.\n2. Substitute t = r + 10 to s, which gives s = r + 35.\n3. Substitute r = n + 9 to s, which gives s = n + 44.\n4. Substitute n = o + 14 to s, which gives s = o + 58.\n5. Substitute o = v + 20 to s, which gives s = v + 78.\n6. Substitute v = 6 to s, which gives s = 84.\n\nThus, the final answer is s = \\boxed{84}.",
"index": 21589,
"question": "Consider a system of variables where each variable is defined as follows: s = q + 14; a = v + 9; m = a + 14; n = o + 14; l = w + 6; k = m + 3; o = v + 20; q = t + 11; v = 6; j = k + 6; t = r + 10; w = j + 3; r = n + 9. If v = 6, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"s": "p + 16", "k": "s + 17", "e": "k + 2", "t": "e + 10", "i": "t + 8", "w": "i + 11", "n": "p + 3", "y": "n + 16", "u": "y + 15", "o": "u + 7", "c": "o + 9", "b": "c + 2", "p": 15}, "premises": {"p": 15}, "target": "w"}, "answer": {"steps": [["i", "t + 8", "t + 19"], ["t", "e + 10", "e + 29"], ["e", "k + 2", "k + 31"], ["k", "s + 17", "s + 48"], ["s", "p + 16", "p + 64"], ["p", 15, "79"]], "target_var_name": "w", "target_value": 79, "value_dict": {"p": 15}, "is_reverse": true}} | 21,590 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = n + 16; i = t + 8; n = p + 3; e = k + 2; o = u + 7; u = y + 15; c = o + 9; w = i + 11; k = s + 17; t = e + 10; p = 15; b = c + 2; s = p + 16. If p = 15, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = t + 8 to w, which gives w = t + 19.\n2. Substitute t = e + 10 to w, which gives w = e + 29.\n3. Substitute e = k + 2 to w, which gives w = k + 31.\n4. Substitute k = s + 17 to w, which gives w = s + 48.\n5. Substitute s = p + 16 to w, which gives w = p + 64.\n6. Substitute p = 15 to w, which gives w = 79.\n\nThus, the final answer is w = \\boxed{79}.",
"index": 21590,
"question": "Consider a system of variables where each variable is defined as follows: y = n + 16; i = t + 8; n = p + 3; e = k + 2; o = u + 7; u = y + 15; c = o + 9; w = i + 11; k = s + 17; t = e + 10; p = 15; b = c + 2; s = p + 16. If p = 15, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"n": "u + 8", "o": "n + 12", "k": "o + 11", "p": "k + 4", "j": "p + 15", "b": "j + 3", "d": "u + 18", "e": "d + 16", "t": "e + 19", "v": "t + 18", "g": "v + 1", "y": "g + 4", "u": 14}, "premises": {"u": 14}, "target": "b"}, "answer": {"steps": [["j", "p + 15", "p + 18"], ["p", "k + 4", "k + 22"], ["k", "o + 11", "o + 33"], ["o", "n + 12", "n + 45"], ["n", "u + 8", "u + 53"], ["u", 14, "67"]], "target_var_name": "b", "target_value": 67, "value_dict": {"u": 14}, "is_reverse": true}} | 21,591 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = j + 3; p = k + 4; t = e + 19; v = t + 18; k = o + 11; n = u + 8; y = g + 4; g = v + 1; d = u + 18; u = 14; o = n + 12; e = d + 16; j = p + 15. If u = 14, determine the 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 j = p + 15 to b, which gives b = p + 18.\n2. Substitute p = k + 4 to b, which gives b = k + 22.\n3. Substitute k = o + 11 to b, which gives b = o + 33.\n4. Substitute o = n + 12 to b, which gives b = n + 45.\n5. Substitute n = u + 8 to b, which gives b = u + 53.\n6. Substitute u = 14 to b, which gives b = 67.\n\nThus, the final answer is b = \\boxed{67}.",
"index": 21591,
"question": "Consider a system of variables where each variable is defined as follows: b = j + 3; p = k + 4; t = e + 19; v = t + 18; k = o + 11; n = u + 8; y = g + 4; g = v + 1; d = u + 18; u = 14; o = n + 12; e = d + 16; j = p + 15. If u = 14, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"k": "t + 2", "u": "k + 18", "a": "u + 8", "p": "a + 13", "l": "p + 9", "x": "l + 11", "o": "t + 17", "r": "o + 12", "f": "r + 17", "v": "f + 16", "g": "v + 12", "w": "g + 2", "t": 7}, "premises": {"t": 7}, "target": "x"}, "answer": {"steps": [["l", "p + 9", "p + 20"], ["p", "a + 13", "a + 33"], ["a", "u + 8", "u + 41"], ["u", "k + 18", "k + 59"], ["k", "t + 2", "t + 61"], ["t", 7, "68"]], "target_var_name": "x", "target_value": 68, "value_dict": {"t": 7}, "is_reverse": true}} | 21,592 | 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 = v + 12; p = a + 13; x = l + 11; v = f + 16; t = 7; f = r + 17; o = t + 17; a = u + 8; w = g + 2; l = p + 9; k = t + 2; u = k + 18; r = o + 12. If t = 7, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = p + 9 to x, which gives x = p + 20.\n2. Substitute p = a + 13 to x, which gives x = a + 33.\n3. Substitute a = u + 8 to x, which gives x = u + 41.\n4. Substitute u = k + 18 to x, which gives x = k + 59.\n5. Substitute k = t + 2 to x, which gives x = t + 61.\n6. Substitute t = 7 to x, which gives x = 68.\n\nThus, the final answer is x = \\boxed{68}.",
"index": 21592,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = v + 12; p = a + 13; x = l + 11; v = f + 16; t = 7; f = r + 17; o = t + 17; a = u + 8; w = g + 2; l = p + 9; k = t + 2; u = k + 18; r = o + 12. If t = 7, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"y": "n + 6", "k": "y + 18", "l": "k + 11", "r": "l + 15", "o": "r + 14", "q": "o + 19", "t": "n + 7", "i": "t + 7", "j": "i + 12", "p": "j + 20", "v": "p + 1", "c": "v + 1", "n": 7}, "premises": {"n": 7}, "target": "q"}, "answer": {"steps": [["o", "r + 14", "r + 33"], ["r", "l + 15", "l + 48"], ["l", "k + 11", "k + 59"], ["k", "y + 18", "y + 77"], ["y", "n + 6", "n + 83"], ["n", 7, "90"]], "target_var_name": "q", "target_value": 90, "value_dict": {"n": 7}, "is_reverse": true}} | 21,593 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = v + 1; r = l + 15; q = o + 19; n = 7; v = p + 1; t = n + 7; o = r + 14; j = i + 12; l = k + 11; k = y + 18; y = n + 6; i = t + 7; p = j + 20. If n = 7, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = r + 14 to q, which gives q = r + 33.\n2. Substitute r = l + 15 to q, which gives q = l + 48.\n3. Substitute l = k + 11 to q, which gives q = k + 59.\n4. Substitute k = y + 18 to q, which gives q = y + 77.\n5. Substitute y = n + 6 to q, which gives q = n + 83.\n6. Substitute n = 7 to q, which gives q = 90.\n\nThus, the final answer is q = \\boxed{90}.",
"index": 21593,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = v + 1; r = l + 15; q = o + 19; n = 7; v = p + 1; t = n + 7; o = r + 14; j = i + 12; l = k + 11; k = y + 18; y = n + 6; i = t + 7; p = j + 20. If n = 7, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"x": "u + 12", "y": "x + 5", "m": "y + 16", "g": "m + 14", "h": "g + 2", "a": "h + 20", "k": "u + 15", "z": "k + 19", "w": "z + 15", "q": "w + 18", "d": "q + 9", "s": "d + 2", "u": 11}, "premises": {"u": 11}, "target": "a"}, "answer": {"steps": [["h", "g + 2", "g + 22"], ["g", "m + 14", "m + 36"], ["m", "y + 16", "y + 52"], ["y", "x + 5", "x + 57"], ["x", "u + 12", "u + 69"], ["u", 11, "80"]], "target_var_name": "a", "target_value": 80, "value_dict": {"u": 11}, "is_reverse": true}} | 21,594 | 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 = u + 15; h = g + 2; y = x + 5; d = q + 9; w = z + 15; g = m + 14; x = u + 12; q = w + 18; z = k + 19; u = 11; m = y + 16; a = h + 20; s = d + 2. If u = 11, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = g + 2 to a, which gives a = g + 22.\n2. Substitute g = m + 14 to a, which gives a = m + 36.\n3. Substitute m = y + 16 to a, which gives a = y + 52.\n4. Substitute y = x + 5 to a, which gives a = x + 57.\n5. Substitute x = u + 12 to a, which gives a = u + 69.\n6. Substitute u = 11 to a, which gives a = 80.\n\nThus, the final answer is a = \\boxed{80}.",
"index": 21594,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = u + 15; h = g + 2; y = x + 5; d = q + 9; w = z + 15; g = m + 14; x = u + 12; q = w + 18; z = k + 19; u = 11; m = y + 16; a = h + 20; s = d + 2. If u = 11, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"d": "l + 18", "b": "d + 9", "i": "b + 3", "q": "i + 7", "g": "q + 10", "z": "g + 17", "s": "l + 3", "h": "s + 12", "f": "h + 20", "m": "f + 17", "j": "m + 9", "v": "j + 11", "l": 19}, "premises": {"l": 19}, "target": "z"}, "answer": {"steps": [["g", "q + 10", "q + 27"], ["q", "i + 7", "i + 34"], ["i", "b + 3", "b + 37"], ["b", "d + 9", "d + 46"], ["d", "l + 18", "l + 64"], ["l", 19, "83"]], "target_var_name": "z", "target_value": 83, "value_dict": {"l": 19}, "is_reverse": true}} | 21,595 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = j + 11; q = i + 7; b = d + 9; g = q + 10; h = s + 12; j = m + 9; m = f + 17; d = l + 18; i = b + 3; z = g + 17; l = 19; s = l + 3; f = h + 20. Given that l = 19, find 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 g = q + 10 to z, which gives z = q + 27.\n2. Substitute q = i + 7 to z, which gives z = i + 34.\n3. Substitute i = b + 3 to z, which gives z = b + 37.\n4. Substitute b = d + 9 to z, which gives z = d + 46.\n5. Substitute d = l + 18 to z, which gives z = l + 64.\n6. Substitute l = 19 to z, which gives z = 83.\n\nThus, the final answer is z = \\boxed{83}.",
"index": 21595,
"question": "Suppose a collection of variables is related by the following definitions: v = j + 11; q = i + 7; b = d + 9; g = q + 10; h = s + 12; j = m + 9; m = f + 17; d = l + 18; i = b + 3; z = g + 17; l = 19; s = l + 3; f = h + 20. Given that l = 19, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"o": "n + 17", "y": "o + 5", "l": "y + 11", "p": "l + 9", "v": "p + 5", "t": "v + 4", "s": "n + 6", "h": "s + 8", "g": "h + 17", "m": "g + 1", "c": "m + 16", "a": "c + 20", "n": 7}, "premises": {"n": 7}, "target": "t"}, "answer": {"steps": [["v", "p + 5", "p + 9"], ["p", "l + 9", "l + 18"], ["l", "y + 11", "y + 29"], ["y", "o + 5", "o + 34"], ["o", "n + 17", "n + 51"], ["n", 7, "58"]], "target_var_name": "t", "target_value": 58, "value_dict": {"n": 7}, "is_reverse": true}} | 21,596 | 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 = s + 8; v = p + 5; y = o + 5; l = y + 11; o = n + 17; t = v + 4; g = h + 17; m = g + 1; n = 7; c = m + 16; a = c + 20; s = n + 6; p = l + 9. If n = 7, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = p + 5 to t, which gives t = p + 9.\n2. Substitute p = l + 9 to t, which gives t = l + 18.\n3. Substitute l = y + 11 to t, which gives t = y + 29.\n4. Substitute y = o + 5 to t, which gives t = o + 34.\n5. Substitute o = n + 17 to t, which gives t = n + 51.\n6. Substitute n = 7 to t, which gives t = 58.\n\nThus, the final answer is t = \\boxed{58}.",
"index": 21596,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = s + 8; v = p + 5; y = o + 5; l = y + 11; o = n + 17; t = v + 4; g = h + 17; m = g + 1; n = 7; c = m + 16; a = c + 20; s = n + 6; p = l + 9. If n = 7, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"m": "d + 8", "b": "m + 17", "v": "b + 19", "p": "v + 17", "l": "p + 4", "e": "l + 2", "z": "d + 2", "y": "z + 1", "t": "y + 19", "o": "t + 19", "u": "o + 14", "j": "u + 13", "d": 18}, "premises": {"d": 18}, "target": "e"}, "answer": {"steps": [["l", "p + 4", "p + 6"], ["p", "v + 17", "v + 23"], ["v", "b + 19", "b + 42"], ["b", "m + 17", "m + 59"], ["m", "d + 8", "d + 67"], ["d", 18, "85"]], "target_var_name": "e", "target_value": 85, "value_dict": {"d": 18}, "is_reverse": true}} | 21,597 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = p + 4; y = z + 1; z = d + 2; u = o + 14; o = t + 19; e = l + 2; p = v + 17; m = d + 8; j = u + 13; b = m + 17; v = b + 19; t = y + 19; d = 18. Given that d = 18, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = p + 4 to e, which gives e = p + 6.\n2. Substitute p = v + 17 to e, which gives e = v + 23.\n3. Substitute v = b + 19 to e, which gives e = b + 42.\n4. Substitute b = m + 17 to e, which gives e = m + 59.\n5. Substitute m = d + 8 to e, which gives e = d + 67.\n6. Substitute d = 18 to e, which gives e = 85.\n\nThus, the final answer is e = \\boxed{85}.",
"index": 21597,
"question": "Suppose a collection of variables is related by the following definitions: l = p + 4; y = z + 1; z = d + 2; u = o + 14; o = t + 19; e = l + 2; p = v + 17; m = d + 8; j = u + 13; b = m + 17; v = b + 19; t = y + 19; d = 18. Given that d = 18, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"w": "a + 4", "j": "w + 11", "f": "j + 17", "u": "f + 1", "g": "u + 17", "s": "g + 18", "y": "a + 9", "t": "y + 10", "b": "t + 17", "n": "b + 2", "h": "n + 18", "i": "h + 7", "a": 1}, "premises": {"a": 1}, "target": "s"}, "answer": {"steps": [["g", "u + 17", "u + 35"], ["u", "f + 1", "f + 36"], ["f", "j + 17", "j + 53"], ["j", "w + 11", "w + 64"], ["w", "a + 4", "a + 68"], ["a", 1, "69"]], "target_var_name": "s", "target_value": 69, "value_dict": {"a": 1}, "is_reverse": true}} | 21,598 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = h + 7; f = j + 17; t = y + 10; b = t + 17; u = f + 1; a = 1; j = w + 11; s = g + 18; n = b + 2; y = a + 9; h = n + 18; w = a + 4; g = u + 17. If a = 1, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = u + 17 to s, which gives s = u + 35.\n2. Substitute u = f + 1 to s, which gives s = f + 36.\n3. Substitute f = j + 17 to s, which gives s = j + 53.\n4. Substitute j = w + 11 to s, which gives s = w + 64.\n5. Substitute w = a + 4 to s, which gives s = a + 68.\n6. Substitute a = 1 to s, which gives s = 69.\n\nThus, the final answer is s = \\boxed{69}.",
"index": 21598,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = h + 7; f = j + 17; t = y + 10; b = t + 17; u = f + 1; a = 1; j = w + 11; s = g + 18; n = b + 2; y = a + 9; h = n + 18; w = a + 4; g = u + 17. If a = 1, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"h": "o + 15", "z": "h + 5", "j": "z + 20", "n": "j + 4", "x": "n + 4", "l": "x + 6", "e": "o + 19", "t": "e + 5", "q": "t + 3", "b": "q + 11", "r": "b + 1", "a": "r + 6", "o": 8}, "premises": {"o": 8}, "target": "l"}, "answer": {"steps": [["x", "n + 4", "n + 10"], ["n", "j + 4", "j + 14"], ["j", "z + 20", "z + 34"], ["z", "h + 5", "h + 39"], ["h", "o + 15", "o + 54"], ["o", 8, "62"]], "target_var_name": "l", "target_value": 62, "value_dict": {"o": 8}, "is_reverse": true}} | 21,599 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = j + 4; t = e + 5; b = q + 11; e = o + 19; o = 8; r = b + 1; x = n + 4; q = t + 3; z = h + 5; a = r + 6; j = z + 20; h = o + 15; l = x + 6. Given that o = 8, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = n + 4 to l, which gives l = n + 10.\n2. Substitute n = j + 4 to l, which gives l = j + 14.\n3. Substitute j = z + 20 to l, which gives l = z + 34.\n4. Substitute z = h + 5 to l, which gives l = h + 39.\n5. Substitute h = o + 15 to l, which gives l = o + 54.\n6. Substitute o = 8 to l, which gives l = 62.\n\nThus, the final answer is l = \\boxed{62}.",
"index": 21599,
"question": "Suppose a collection of variables is related by the following definitions: n = j + 4; t = e + 5; b = q + 11; e = o + 19; o = 8; r = b + 1; x = n + 4; q = t + 3; z = h + 5; a = r + 6; j = z + 20; h = o + 15; l = x + 6. Given that o = 8, find the value of l.",
"split": "train"
} |
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