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": {"s": "h + 2", "z": "s + 19", "y": "z + 15", "j": "y + 13", "w": "j + 5", "v": "w + 15", "p": "h + 18", "d": "p + 9", "q": "d + 5", "t": "q + 9", "u": "t + 3", "i": "u + 16", "h": 11}, "premises": {"h": 11}, "target": "v"}, "answer": {"steps": [["w", "j + 5", "j + 20"], ["j", "y + 13", "y + 33"], ["y", "z + 15", "z + 48"], ["z", "s + 19", "s + 67"], ["s", "h + 2", "h + 69"], ["h", 11, "80"]], "target_var_name": "v", "target_value": 80, "value_dict": {"h": 11}, "is_reverse": true}} | 6,600 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = u + 16; v = w + 15; h = 11; s = h + 2; q = d + 5; t = q + 9; z = s + 19; u = t + 3; p = h + 18; d = p + 9; w = j + 5; y = z + 15; j = y + 13. If h = 11, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = j + 5 to v, which gives v = j + 20.\n2. Substitute j = y + 13 to v, which gives v = y + 33.\n3. Substitute y = z + 15 to v, which gives v = z + 48.\n4. Substitute z = s + 19 to v, which gives v = s + 67.\n5. Substitute s = h + 2 to v, which gives v = h + 69.\n6. Substitute h = 11 to v, which gives v = 80.\n\nThus, the final answer is v = \\boxed{80}.",
"index": 6600,
"question": "Consider a system of variables where each variable is defined as follows: i = u + 16; v = w + 15; h = 11; s = h + 2; q = d + 5; t = q + 9; z = s + 19; u = t + 3; p = h + 18; d = p + 9; w = j + 5; y = z + 15; j = y + 13. If h = 11, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"e": "g + 10", "x": "e + 14", "y": "x + 17", "w": "y + 12", "h": "w + 1", "n": "h + 15", "r": "g + 18", "s": "r + 9", "j": "s + 3", "c": "j + 4", "u": "c + 9", "q": "u + 10", "g": 16}, "premises": {"g": 16}, "target": "n"}, "answer": {"steps": [["h", "w + 1", "w + 16"], ["w", "y + 12", "y + 28"], ["y", "x + 17", "x + 45"], ["x", "e + 14", "e + 59"], ["e", "g + 10", "g + 69"], ["g", 16, "85"]], "target_var_name": "n", "target_value": 85, "value_dict": {"g": 16}, "is_reverse": true}} | 6,601 | 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 = e + 14; c = j + 4; s = r + 9; h = w + 1; g = 16; r = g + 18; q = u + 10; n = h + 15; y = x + 17; u = c + 9; j = s + 3; w = y + 12; e = g + 10. If g = 16, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = w + 1 to n, which gives n = w + 16.\n2. Substitute w = y + 12 to n, which gives n = y + 28.\n3. Substitute y = x + 17 to n, which gives n = x + 45.\n4. Substitute x = e + 14 to n, which gives n = e + 59.\n5. Substitute e = g + 10 to n, which gives n = g + 69.\n6. Substitute g = 16 to n, which gives n = 85.\n\nThus, the final answer is n = \\boxed{85}.",
"index": 6601,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = e + 14; c = j + 4; s = r + 9; h = w + 1; g = 16; r = g + 18; q = u + 10; n = h + 15; y = x + 17; u = c + 9; j = s + 3; w = y + 12; e = g + 10. If g = 16, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"m": "a + 12", "y": "m + 7", "b": "y + 10", "n": "b + 14", "r": "n + 19", "g": "r + 5", "l": "a + 2", "c": "l + 9", "o": "c + 18", "h": "o + 1", "z": "h + 19", "p": "z + 19", "a": 6}, "premises": {"a": 6}, "target": "g"}, "answer": {"steps": [["r", "n + 19", "n + 24"], ["n", "b + 14", "b + 38"], ["b", "y + 10", "y + 48"], ["y", "m + 7", "m + 55"], ["m", "a + 12", "a + 67"], ["a", 6, "73"]], "target_var_name": "g", "target_value": 73, "value_dict": {"a": 6}, "is_reverse": true}} | 6,602 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = b + 14; o = c + 18; z = h + 19; g = r + 5; c = l + 9; l = a + 2; m = a + 12; a = 6; b = y + 10; y = m + 7; h = o + 1; p = z + 19; r = n + 19. Given that a = 6, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = n + 19 to g, which gives g = n + 24.\n2. Substitute n = b + 14 to g, which gives g = b + 38.\n3. Substitute b = y + 10 to g, which gives g = y + 48.\n4. Substitute y = m + 7 to g, which gives g = m + 55.\n5. Substitute m = a + 12 to g, which gives g = a + 67.\n6. Substitute a = 6 to g, which gives g = 73.\n\nThus, the final answer is g = \\boxed{73}.",
"index": 6602,
"question": "Suppose a collection of variables is related by the following definitions: n = b + 14; o = c + 18; z = h + 19; g = r + 5; c = l + 9; l = a + 2; m = a + 12; a = 6; b = y + 10; y = m + 7; h = o + 1; p = z + 19; r = n + 19. Given that a = 6, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"k": "o + 16", "d": "k + 15", "b": "d + 1", "w": "b + 2", "h": "w + 2", "i": "h + 5", "f": "o + 19", "j": "f + 13", "y": "j + 8", "u": "y + 6", "a": "u + 7", "r": "a + 5", "o": 11}, "premises": {"o": 11}, "target": "i"}, "answer": {"steps": [["h", "w + 2", "w + 7"], ["w", "b + 2", "b + 9"], ["b", "d + 1", "d + 10"], ["d", "k + 15", "k + 25"], ["k", "o + 16", "o + 41"], ["o", 11, "52"]], "target_var_name": "i", "target_value": 52, "value_dict": {"o": 11}, "is_reverse": true}} | 6,603 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = b + 2; u = y + 6; f = o + 19; o = 11; i = h + 5; b = d + 1; y = j + 8; j = f + 13; r = a + 5; h = w + 2; k = o + 16; a = u + 7; d = k + 15. If o = 11, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = w + 2 to i, which gives i = w + 7.\n2. Substitute w = b + 2 to i, which gives i = b + 9.\n3. Substitute b = d + 1 to i, which gives i = d + 10.\n4. Substitute d = k + 15 to i, which gives i = k + 25.\n5. Substitute k = o + 16 to i, which gives i = o + 41.\n6. Substitute o = 11 to i, which gives i = 52.\n\nThus, the final answer is i = \\boxed{52}.",
"index": 6603,
"question": "Consider a system of variables where each variable is defined as follows: w = b + 2; u = y + 6; f = o + 19; o = 11; i = h + 5; b = d + 1; y = j + 8; j = f + 13; r = a + 5; h = w + 2; k = o + 16; a = u + 7; d = k + 15. If o = 11, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"n": "g + 7", "u": "n + 7", "s": "u + 4", "d": "s + 15", "i": "d + 19", "h": "i + 17", "y": "g + 1", "o": "y + 8", "l": "o + 13", "j": "l + 2", "p": "j + 5", "f": "p + 20", "g": 5}, "premises": {"g": 5}, "target": "h"}, "answer": {"steps": [["i", "d + 19", "d + 36"], ["d", "s + 15", "s + 51"], ["s", "u + 4", "u + 55"], ["u", "n + 7", "n + 62"], ["n", "g + 7", "g + 69"], ["g", 5, "74"]], "target_var_name": "h", "target_value": 74, "value_dict": {"g": 5}, "is_reverse": true}} | 6,604 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = 5; f = p + 20; h = i + 17; j = l + 2; l = o + 13; i = d + 19; d = s + 15; n = g + 7; y = g + 1; u = n + 7; p = j + 5; o = y + 8; s = u + 4. Given that g = 5, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = d + 19 to h, which gives h = d + 36.\n2. Substitute d = s + 15 to h, which gives h = s + 51.\n3. Substitute s = u + 4 to h, which gives h = u + 55.\n4. Substitute u = n + 7 to h, which gives h = n + 62.\n5. Substitute n = g + 7 to h, which gives h = g + 69.\n6. Substitute g = 5 to h, which gives h = 74.\n\nThus, the final answer is h = \\boxed{74}.",
"index": 6604,
"question": "Suppose a collection of variables is related by the following definitions: g = 5; f = p + 20; h = i + 17; j = l + 2; l = o + 13; i = d + 19; d = s + 15; n = g + 7; y = g + 1; u = n + 7; p = j + 5; o = y + 8; s = u + 4. Given that g = 5, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"j": "o + 8", "p": "j + 17", "s": "p + 20", "n": "s + 20", "x": "n + 3", "m": "x + 8", "a": "o + 19", "r": "a + 18", "q": "r + 1", "i": "q + 2", "c": "i + 2", "w": "c + 2", "o": 10}, "premises": {"o": 10}, "target": "m"}, "answer": {"steps": [["x", "n + 3", "n + 11"], ["n", "s + 20", "s + 31"], ["s", "p + 20", "p + 51"], ["p", "j + 17", "j + 68"], ["j", "o + 8", "o + 76"], ["o", 10, "86"]], "target_var_name": "m", "target_value": 86, "value_dict": {"o": 10}, "is_reverse": true}} | 6,605 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = x + 8; s = p + 20; r = a + 18; x = n + 3; i = q + 2; j = o + 8; o = 10; a = o + 19; q = r + 1; n = s + 20; c = i + 2; p = j + 17; w = c + 2. If o = 10, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = n + 3 to m, which gives m = n + 11.\n2. Substitute n = s + 20 to m, which gives m = s + 31.\n3. Substitute s = p + 20 to m, which gives m = p + 51.\n4. Substitute p = j + 17 to m, which gives m = j + 68.\n5. Substitute j = o + 8 to m, which gives m = o + 76.\n6. Substitute o = 10 to m, which gives m = 86.\n\nThus, the final answer is m = \\boxed{86}.",
"index": 6605,
"question": "Consider a system of variables where each variable is defined as follows: m = x + 8; s = p + 20; r = a + 18; x = n + 3; i = q + 2; j = o + 8; o = 10; a = o + 19; q = r + 1; n = s + 20; c = i + 2; p = j + 17; w = c + 2. If o = 10, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"s": "f + 6", "n": "s + 7", "w": "n + 15", "p": "w + 7", "g": "p + 14", "k": "g + 10", "d": "f + 9", "e": "d + 12", "u": "e + 2", "b": "u + 8", "h": "b + 20", "m": "h + 1", "f": 3}, "premises": {"f": 3}, "target": "k"}, "answer": {"steps": [["g", "p + 14", "p + 24"], ["p", "w + 7", "w + 31"], ["w", "n + 15", "n + 46"], ["n", "s + 7", "s + 53"], ["s", "f + 6", "f + 59"], ["f", 3, "62"]], "target_var_name": "k", "target_value": 62, "value_dict": {"f": 3}, "is_reverse": true}} | 6,606 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = g + 10; e = d + 12; b = u + 8; n = s + 7; d = f + 9; h = b + 20; m = h + 1; u = e + 2; w = n + 15; f = 3; p = w + 7; s = f + 6; g = p + 14. Given that f = 3, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = p + 14 to k, which gives k = p + 24.\n2. Substitute p = w + 7 to k, which gives k = w + 31.\n3. Substitute w = n + 15 to k, which gives k = n + 46.\n4. Substitute n = s + 7 to k, which gives k = s + 53.\n5. Substitute s = f + 6 to k, which gives k = f + 59.\n6. Substitute f = 3 to k, which gives k = 62.\n\nThus, the final answer is k = \\boxed{62}.",
"index": 6606,
"question": "Suppose a collection of variables is related by the following definitions: k = g + 10; e = d + 12; b = u + 8; n = s + 7; d = f + 9; h = b + 20; m = h + 1; u = e + 2; w = n + 15; f = 3; p = w + 7; s = f + 6; g = p + 14. Given that f = 3, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"y": "n + 13", "f": "y + 18", "b": "f + 16", "h": "b + 6", "i": "h + 12", "k": "i + 20", "r": "n + 17", "p": "r + 12", "w": "p + 1", "z": "w + 19", "d": "z + 6", "g": "d + 19", "n": 7}, "premises": {"n": 7}, "target": "k"}, "answer": {"steps": [["i", "h + 12", "h + 32"], ["h", "b + 6", "b + 38"], ["b", "f + 16", "f + 54"], ["f", "y + 18", "y + 72"], ["y", "n + 13", "n + 85"], ["n", 7, "92"]], "target_var_name": "k", "target_value": 92, "value_dict": {"n": 7}, "is_reverse": true}} | 6,607 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = h + 12; y = n + 13; h = b + 6; p = r + 12; w = p + 1; n = 7; z = w + 19; k = i + 20; d = z + 6; g = d + 19; r = n + 17; b = f + 16; f = y + 18. If n = 7, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = h + 12 to k, which gives k = h + 32.\n2. Substitute h = b + 6 to k, which gives k = b + 38.\n3. Substitute b = f + 16 to k, which gives k = f + 54.\n4. Substitute f = y + 18 to k, which gives k = y + 72.\n5. Substitute y = n + 13 to k, which gives k = n + 85.\n6. Substitute n = 7 to k, which gives k = 92.\n\nThus, the final answer is k = \\boxed{92}.",
"index": 6607,
"question": "Consider a system of variables where each variable is defined as follows: i = h + 12; y = n + 13; h = b + 6; p = r + 12; w = p + 1; n = 7; z = w + 19; k = i + 20; d = z + 6; g = d + 19; r = n + 17; b = f + 16; f = y + 18. If n = 7, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"i": "j + 2", "d": "i + 12", "e": "d + 2", "v": "e + 3", "p": "v + 6", "x": "p + 5", "m": "j + 9", "w": "m + 1", "k": "w + 8", "a": "k + 12", "t": "a + 17", "z": "t + 20", "j": 15}, "premises": {"j": 15}, "target": "x"}, "answer": {"steps": [["p", "v + 6", "v + 11"], ["v", "e + 3", "e + 14"], ["e", "d + 2", "d + 16"], ["d", "i + 12", "i + 28"], ["i", "j + 2", "j + 30"], ["j", 15, "45"]], "target_var_name": "x", "target_value": 45, "value_dict": {"j": 15}, "is_reverse": true}} | 6,608 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = e + 3; t = a + 17; e = d + 2; z = t + 20; x = p + 5; k = w + 8; d = i + 12; j = 15; i = j + 2; p = v + 6; m = j + 9; w = m + 1; a = k + 12. If j = 15, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = v + 6 to x, which gives x = v + 11.\n2. Substitute v = e + 3 to x, which gives x = e + 14.\n3. Substitute e = d + 2 to x, which gives x = d + 16.\n4. Substitute d = i + 12 to x, which gives x = i + 28.\n5. Substitute i = j + 2 to x, which gives x = j + 30.\n6. Substitute j = 15 to x, which gives x = 45.\n\nThus, the final answer is x = \\boxed{45}.",
"index": 6608,
"question": "Consider a system of variables where each variable is defined as follows: v = e + 3; t = a + 17; e = d + 2; z = t + 20; x = p + 5; k = w + 8; d = i + 12; j = 15; i = j + 2; p = v + 6; m = j + 9; w = m + 1; a = k + 12. If j = 15, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"r": "s + 14", "f": "r + 9", "t": "f + 14", "c": "t + 3", "a": "c + 10", "d": "a + 5", "y": "s + 9", "k": "y + 6", "p": "k + 7", "l": "p + 18", "g": "l + 13", "o": "g + 8", "s": 13}, "premises": {"s": 13}, "target": "d"}, "answer": {"steps": [["a", "c + 10", "c + 15"], ["c", "t + 3", "t + 18"], ["t", "f + 14", "f + 32"], ["f", "r + 9", "r + 41"], ["r", "s + 14", "s + 55"], ["s", 13, "68"]], "target_var_name": "d", "target_value": 68, "value_dict": {"s": 13}, "is_reverse": true}} | 6,609 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = k + 7; f = r + 9; s = 13; l = p + 18; o = g + 8; c = t + 3; r = s + 14; t = f + 14; g = l + 13; d = a + 5; y = s + 9; a = c + 10; k = y + 6. Given that s = 13, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = c + 10 to d, which gives d = c + 15.\n2. Substitute c = t + 3 to d, which gives d = t + 18.\n3. Substitute t = f + 14 to d, which gives d = f + 32.\n4. Substitute f = r + 9 to d, which gives d = r + 41.\n5. Substitute r = s + 14 to d, which gives d = s + 55.\n6. Substitute s = 13 to d, which gives d = 68.\n\nThus, the final answer is d = \\boxed{68}.",
"index": 6609,
"question": "Suppose a collection of variables is related by the following definitions: p = k + 7; f = r + 9; s = 13; l = p + 18; o = g + 8; c = t + 3; r = s + 14; t = f + 14; g = l + 13; d = a + 5; y = s + 9; a = c + 10; k = y + 6. Given that s = 13, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"g": "x + 13", "d": "g + 15", "v": "d + 9", "r": "v + 7", "b": "r + 6", "c": "b + 7", "t": "x + 12", "p": "t + 2", "j": "p + 4", "f": "j + 10", "q": "f + 3", "e": "q + 10", "x": 6}, "premises": {"x": 6}, "target": "c"}, "answer": {"steps": [["b", "r + 6", "r + 13"], ["r", "v + 7", "v + 20"], ["v", "d + 9", "d + 29"], ["d", "g + 15", "g + 44"], ["g", "x + 13", "x + 57"], ["x", 6, "63"]], "target_var_name": "c", "target_value": 63, "value_dict": {"x": 6}, "is_reverse": true}} | 6,610 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = x + 12; d = g + 15; v = d + 9; g = x + 13; b = r + 6; p = t + 2; c = b + 7; j = p + 4; f = j + 10; x = 6; r = v + 7; q = f + 3; e = q + 10. Given that x = 6, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = r + 6 to c, which gives c = r + 13.\n2. Substitute r = v + 7 to c, which gives c = v + 20.\n3. Substitute v = d + 9 to c, which gives c = d + 29.\n4. Substitute d = g + 15 to c, which gives c = g + 44.\n5. Substitute g = x + 13 to c, which gives c = x + 57.\n6. Substitute x = 6 to c, which gives c = 63.\n\nThus, the final answer is c = \\boxed{63}.",
"index": 6610,
"question": "Suppose a collection of variables is related by the following definitions: t = x + 12; d = g + 15; v = d + 9; g = x + 13; b = r + 6; p = t + 2; c = b + 7; j = p + 4; f = j + 10; x = 6; r = v + 7; q = f + 3; e = q + 10. Given that x = 6, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"g": "t + 7", "m": "g + 18", "v": "m + 10", "a": "v + 5", "s": "a + 2", "r": "s + 12", "h": "t + 17", "c": "h + 14", "x": "c + 4", "q": "x + 20", "d": "q + 4", "n": "d + 12", "t": 14}, "premises": {"t": 14}, "target": "r"}, "answer": {"steps": [["s", "a + 2", "a + 14"], ["a", "v + 5", "v + 19"], ["v", "m + 10", "m + 29"], ["m", "g + 18", "g + 47"], ["g", "t + 7", "t + 54"], ["t", 14, "68"]], "target_var_name": "r", "target_value": 68, "value_dict": {"t": 14}, "is_reverse": true}} | 6,611 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = a + 2; r = s + 12; a = v + 5; g = t + 7; h = t + 17; n = d + 12; d = q + 4; q = x + 20; x = c + 4; m = g + 18; v = m + 10; c = h + 14; t = 14. If t = 14, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = a + 2 to r, which gives r = a + 14.\n2. Substitute a = v + 5 to r, which gives r = v + 19.\n3. Substitute v = m + 10 to r, which gives r = m + 29.\n4. Substitute m = g + 18 to r, which gives r = g + 47.\n5. Substitute g = t + 7 to r, which gives r = t + 54.\n6. Substitute t = 14 to r, which gives r = 68.\n\nThus, the final answer is r = \\boxed{68}.",
"index": 6611,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = a + 2; r = s + 12; a = v + 5; g = t + 7; h = t + 17; n = d + 12; d = q + 4; q = x + 20; x = c + 4; m = g + 18; v = m + 10; c = h + 14; t = 14. If t = 14, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"i": "v + 14", "o": "i + 1", "j": "o + 14", "e": "j + 15", "b": "e + 5", "s": "b + 13", "l": "v + 12", "z": "l + 3", "g": "z + 4", "p": "g + 9", "d": "p + 19", "x": "d + 7", "v": 3}, "premises": {"v": 3}, "target": "s"}, "answer": {"steps": [["b", "e + 5", "e + 18"], ["e", "j + 15", "j + 33"], ["j", "o + 14", "o + 47"], ["o", "i + 1", "i + 48"], ["i", "v + 14", "v + 62"], ["v", 3, "65"]], "target_var_name": "s", "target_value": 65, "value_dict": {"v": 3}, "is_reverse": true}} | 6,612 | 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 = l + 3; j = o + 14; p = g + 9; e = j + 15; o = i + 1; g = z + 4; v = 3; b = e + 5; d = p + 19; s = b + 13; l = v + 12; i = v + 14; x = d + 7. If v = 3, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = e + 5 to s, which gives s = e + 18.\n2. Substitute e = j + 15 to s, which gives s = j + 33.\n3. Substitute j = o + 14 to s, which gives s = o + 47.\n4. Substitute o = i + 1 to s, which gives s = i + 48.\n5. Substitute i = v + 14 to s, which gives s = v + 62.\n6. Substitute v = 3 to s, which gives s = 65.\n\nThus, the final answer is s = \\boxed{65}.",
"index": 6612,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = l + 3; j = o + 14; p = g + 9; e = j + 15; o = i + 1; g = z + 4; v = 3; b = e + 5; d = p + 19; s = b + 13; l = v + 12; i = v + 14; x = d + 7. If v = 3, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"u": "z + 19", "l": "u + 13", "w": "l + 7", "e": "w + 2", "n": "e + 10", "i": "n + 4", "p": "z + 1", "m": "p + 12", "d": "m + 17", "y": "d + 15", "g": "y + 4", "x": "g + 6", "z": 5}, "premises": {"z": 5}, "target": "i"}, "answer": {"steps": [["n", "e + 10", "e + 14"], ["e", "w + 2", "w + 16"], ["w", "l + 7", "l + 23"], ["l", "u + 13", "u + 36"], ["u", "z + 19", "z + 55"], ["z", 5, "60"]], "target_var_name": "i", "target_value": 60, "value_dict": {"z": 5}, "is_reverse": true}} | 6,613 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = w + 2; u = z + 19; x = g + 6; l = u + 13; m = p + 12; y = d + 15; z = 5; p = z + 1; d = m + 17; i = n + 4; g = y + 4; w = l + 7; n = e + 10. If z = 5, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = e + 10 to i, which gives i = e + 14.\n2. Substitute e = w + 2 to i, which gives i = w + 16.\n3. Substitute w = l + 7 to i, which gives i = l + 23.\n4. Substitute l = u + 13 to i, which gives i = u + 36.\n5. Substitute u = z + 19 to i, which gives i = z + 55.\n6. Substitute z = 5 to i, which gives i = 60.\n\nThus, the final answer is i = \\boxed{60}.",
"index": 6613,
"question": "Consider a system of variables where each variable is defined as follows: e = w + 2; u = z + 19; x = g + 6; l = u + 13; m = p + 12; y = d + 15; z = 5; p = z + 1; d = m + 17; i = n + 4; g = y + 4; w = l + 7; n = e + 10. If z = 5, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"y": "g + 14", "j": "y + 10", "f": "j + 13", "s": "f + 8", "r": "s + 18", "l": "r + 8", "q": "g + 2", "a": "q + 13", "c": "a + 8", "x": "c + 11", "k": "x + 14", "u": "k + 3", "g": 20}, "premises": {"g": 20}, "target": "l"}, "answer": {"steps": [["r", "s + 18", "s + 26"], ["s", "f + 8", "f + 34"], ["f", "j + 13", "j + 47"], ["j", "y + 10", "y + 57"], ["y", "g + 14", "g + 71"], ["g", 20, "91"]], "target_var_name": "l", "target_value": 91, "value_dict": {"g": 20}, "is_reverse": true}} | 6,614 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = g + 14; s = f + 8; j = y + 10; k = x + 14; l = r + 8; f = j + 13; x = c + 11; r = s + 18; a = q + 13; c = a + 8; u = k + 3; q = g + 2; g = 20. Given that g = 20, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = s + 18 to l, which gives l = s + 26.\n2. Substitute s = f + 8 to l, which gives l = f + 34.\n3. Substitute f = j + 13 to l, which gives l = j + 47.\n4. Substitute j = y + 10 to l, which gives l = y + 57.\n5. Substitute y = g + 14 to l, which gives l = g + 71.\n6. Substitute g = 20 to l, which gives l = 91.\n\nThus, the final answer is l = \\boxed{91}.",
"index": 6614,
"question": "Suppose a collection of variables is related by the following definitions: y = g + 14; s = f + 8; j = y + 10; k = x + 14; l = r + 8; f = j + 13; x = c + 11; r = s + 18; a = q + 13; c = a + 8; u = k + 3; q = g + 2; g = 20. Given that g = 20, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"y": "z + 8", "m": "y + 7", "g": "m + 13", "h": "g + 11", "w": "h + 20", "l": "w + 5", "d": "z + 9", "e": "d + 2", "a": "e + 10", "f": "a + 9", "x": "f + 6", "n": "x + 2", "z": 15}, "premises": {"z": 15}, "target": "l"}, "answer": {"steps": [["w", "h + 20", "h + 25"], ["h", "g + 11", "g + 36"], ["g", "m + 13", "m + 49"], ["m", "y + 7", "y + 56"], ["y", "z + 8", "z + 64"], ["z", 15, "79"]], "target_var_name": "l", "target_value": 79, "value_dict": {"z": 15}, "is_reverse": true}} | 6,615 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = d + 2; x = f + 6; y = z + 8; z = 15; m = y + 7; h = g + 11; l = w + 5; g = m + 13; d = z + 9; f = a + 9; a = e + 10; n = x + 2; w = h + 20. Given that z = 15, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = h + 20 to l, which gives l = h + 25.\n2. Substitute h = g + 11 to l, which gives l = g + 36.\n3. Substitute g = m + 13 to l, which gives l = m + 49.\n4. Substitute m = y + 7 to l, which gives l = y + 56.\n5. Substitute y = z + 8 to l, which gives l = z + 64.\n6. Substitute z = 15 to l, which gives l = 79.\n\nThus, the final answer is l = \\boxed{79}.",
"index": 6615,
"question": "Suppose a collection of variables is related by the following definitions: e = d + 2; x = f + 6; y = z + 8; z = 15; m = y + 7; h = g + 11; l = w + 5; g = m + 13; d = z + 9; f = a + 9; a = e + 10; n = x + 2; w = h + 20. Given that z = 15, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"g": "c + 11", "t": "g + 17", "k": "t + 12", "o": "k + 6", "j": "o + 16", "e": "j + 3", "u": "c + 15", "y": "u + 9", "z": "y + 13", "v": "z + 2", "a": "v + 18", "x": "a + 16", "c": 5}, "premises": {"c": 5}, "target": "e"}, "answer": {"steps": [["j", "o + 16", "o + 19"], ["o", "k + 6", "k + 25"], ["k", "t + 12", "t + 37"], ["t", "g + 17", "g + 54"], ["g", "c + 11", "c + 65"], ["c", 5, "70"]], "target_var_name": "e", "target_value": 70, "value_dict": {"c": 5}, "is_reverse": true}} | 6,616 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = o + 16; g = c + 11; z = y + 13; o = k + 6; a = v + 18; u = c + 15; v = z + 2; e = j + 3; c = 5; x = a + 16; k = t + 12; t = g + 17; y = u + 9. If c = 5, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = o + 16 to e, which gives e = o + 19.\n2. Substitute o = k + 6 to e, which gives e = k + 25.\n3. Substitute k = t + 12 to e, which gives e = t + 37.\n4. Substitute t = g + 17 to e, which gives e = g + 54.\n5. Substitute g = c + 11 to e, which gives e = c + 65.\n6. Substitute c = 5 to e, which gives e = 70.\n\nThus, the final answer is e = \\boxed{70}.",
"index": 6616,
"question": "Consider a system of variables where each variable is defined as follows: j = o + 16; g = c + 11; z = y + 13; o = k + 6; a = v + 18; u = c + 15; v = z + 2; e = j + 3; c = 5; x = a + 16; k = t + 12; t = g + 17; y = u + 9. If c = 5, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"d": "n + 12", "f": "d + 14", "b": "f + 15", "j": "b + 16", "i": "j + 18", "u": "i + 13", "y": "n + 9", "k": "y + 13", "r": "k + 13", "e": "r + 10", "h": "e + 6", "a": "h + 17", "n": 5}, "premises": {"n": 5}, "target": "u"}, "answer": {"steps": [["i", "j + 18", "j + 31"], ["j", "b + 16", "b + 47"], ["b", "f + 15", "f + 62"], ["f", "d + 14", "d + 76"], ["d", "n + 12", "n + 88"], ["n", 5, "93"]], "target_var_name": "u", "target_value": 93, "value_dict": {"n": 5}, "is_reverse": true}} | 6,617 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = i + 13; r = k + 13; k = y + 13; j = b + 16; b = f + 15; h = e + 6; f = d + 14; a = h + 17; y = n + 9; e = r + 10; n = 5; d = n + 12; i = j + 18. If n = 5, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = j + 18 to u, which gives u = j + 31.\n2. Substitute j = b + 16 to u, which gives u = b + 47.\n3. Substitute b = f + 15 to u, which gives u = f + 62.\n4. Substitute f = d + 14 to u, which gives u = d + 76.\n5. Substitute d = n + 12 to u, which gives u = n + 88.\n6. Substitute n = 5 to u, which gives u = 93.\n\nThus, the final answer is u = \\boxed{93}.",
"index": 6617,
"question": "Consider a system of variables where each variable is defined as follows: u = i + 13; r = k + 13; k = y + 13; j = b + 16; b = f + 15; h = e + 6; f = d + 14; a = h + 17; y = n + 9; e = r + 10; n = 5; d = n + 12; i = j + 18. If n = 5, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"h": "t + 20", "v": "h + 16", "c": "v + 4", "a": "c + 12", "k": "a + 11", "d": "k + 12", "l": "t + 9", "z": "l + 17", "u": "z + 14", "g": "u + 13", "o": "g + 14", "w": "o + 7", "t": 8}, "premises": {"t": 8}, "target": "d"}, "answer": {"steps": [["k", "a + 11", "a + 23"], ["a", "c + 12", "c + 35"], ["c", "v + 4", "v + 39"], ["v", "h + 16", "h + 55"], ["h", "t + 20", "t + 75"], ["t", 8, "83"]], "target_var_name": "d", "target_value": 83, "value_dict": {"t": 8}, "is_reverse": true}} | 6,618 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = l + 17; a = c + 12; g = u + 13; d = k + 12; l = t + 9; t = 8; u = z + 14; o = g + 14; h = t + 20; c = v + 4; w = o + 7; v = h + 16; k = a + 11. If t = 8, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = a + 11 to d, which gives d = a + 23.\n2. Substitute a = c + 12 to d, which gives d = c + 35.\n3. Substitute c = v + 4 to d, which gives d = v + 39.\n4. Substitute v = h + 16 to d, which gives d = h + 55.\n5. Substitute h = t + 20 to d, which gives d = t + 75.\n6. Substitute t = 8 to d, which gives d = 83.\n\nThus, the final answer is d = \\boxed{83}.",
"index": 6618,
"question": "Consider a system of variables where each variable is defined as follows: z = l + 17; a = c + 12; g = u + 13; d = k + 12; l = t + 9; t = 8; u = z + 14; o = g + 14; h = t + 20; c = v + 4; w = o + 7; v = h + 16; k = a + 11. If t = 8, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"u": "t + 7", "r": "u + 20", "b": "r + 6", "x": "b + 18", "q": "x + 1", "v": "q + 3", "z": "t + 10", "s": "z + 15", "k": "s + 7", "d": "k + 17", "l": "d + 12", "p": "l + 4", "t": 12}, "premises": {"t": 12}, "target": "v"}, "answer": {"steps": [["q", "x + 1", "x + 4"], ["x", "b + 18", "b + 22"], ["b", "r + 6", "r + 28"], ["r", "u + 20", "u + 48"], ["u", "t + 7", "t + 55"], ["t", 12, "67"]], "target_var_name": "v", "target_value": 67, "value_dict": {"t": 12}, "is_reverse": true}} | 6,619 | 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 = s + 7; q = x + 1; x = b + 18; t = 12; z = t + 10; p = l + 4; s = z + 15; v = q + 3; r = u + 20; b = r + 6; d = k + 17; u = t + 7; l = d + 12. If t = 12, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = x + 1 to v, which gives v = x + 4.\n2. Substitute x = b + 18 to v, which gives v = b + 22.\n3. Substitute b = r + 6 to v, which gives v = r + 28.\n4. Substitute r = u + 20 to v, which gives v = u + 48.\n5. Substitute u = t + 7 to v, which gives v = t + 55.\n6. Substitute t = 12 to v, which gives v = 67.\n\nThus, the final answer is v = \\boxed{67}.",
"index": 6619,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = s + 7; q = x + 1; x = b + 18; t = 12; z = t + 10; p = l + 4; s = z + 15; v = q + 3; r = u + 20; b = r + 6; d = k + 17; u = t + 7; l = d + 12. If t = 12, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"j": "e + 3", "f": "j + 1", "x": "f + 17", "y": "x + 15", "s": "y + 2", "o": "s + 4", "c": "e + 6", "g": "c + 18", "q": "g + 3", "n": "q + 13", "t": "n + 13", "a": "t + 14", "e": 14}, "premises": {"e": 14}, "target": "o"}, "answer": {"steps": [["s", "y + 2", "y + 6"], ["y", "x + 15", "x + 21"], ["x", "f + 17", "f + 38"], ["f", "j + 1", "j + 39"], ["j", "e + 3", "e + 42"], ["e", 14, "56"]], "target_var_name": "o", "target_value": 56, "value_dict": {"e": 14}, "is_reverse": true}} | 6,620 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = x + 15; n = q + 13; e = 14; x = f + 17; j = e + 3; t = n + 13; a = t + 14; g = c + 18; f = j + 1; s = y + 2; c = e + 6; o = s + 4; q = g + 3. If e = 14, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = y + 2 to o, which gives o = y + 6.\n2. Substitute y = x + 15 to o, which gives o = x + 21.\n3. Substitute x = f + 17 to o, which gives o = f + 38.\n4. Substitute f = j + 1 to o, which gives o = j + 39.\n5. Substitute j = e + 3 to o, which gives o = e + 42.\n6. Substitute e = 14 to o, which gives o = 56.\n\nThus, the final answer is o = \\boxed{56}.",
"index": 6620,
"question": "Consider a system of variables where each variable is defined as follows: y = x + 15; n = q + 13; e = 14; x = f + 17; j = e + 3; t = n + 13; a = t + 14; g = c + 18; f = j + 1; s = y + 2; c = e + 6; o = s + 4; q = g + 3. If e = 14, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"a": "t + 1", "w": "a + 9", "k": "w + 3", "b": "k + 19", "g": "b + 6", "i": "g + 5", "p": "t + 20", "u": "p + 19", "q": "u + 12", "m": "q + 15", "r": "m + 3", "z": "r + 14", "t": 19}, "premises": {"t": 19}, "target": "i"}, "answer": {"steps": [["g", "b + 6", "b + 11"], ["b", "k + 19", "k + 30"], ["k", "w + 3", "w + 33"], ["w", "a + 9", "a + 42"], ["a", "t + 1", "t + 43"], ["t", 19, "62"]], "target_var_name": "i", "target_value": 62, "value_dict": {"t": 19}, "is_reverse": true}} | 6,621 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = u + 12; w = a + 9; t = 19; i = g + 5; b = k + 19; g = b + 6; r = m + 3; p = t + 20; a = t + 1; m = q + 15; z = r + 14; k = w + 3; u = p + 19. If t = 19, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = b + 6 to i, which gives i = b + 11.\n2. Substitute b = k + 19 to i, which gives i = k + 30.\n3. Substitute k = w + 3 to i, which gives i = w + 33.\n4. Substitute w = a + 9 to i, which gives i = a + 42.\n5. Substitute a = t + 1 to i, which gives i = t + 43.\n6. Substitute t = 19 to i, which gives i = 62.\n\nThus, the final answer is i = \\boxed{62}.",
"index": 6621,
"question": "Consider a system of variables where each variable is defined as follows: q = u + 12; w = a + 9; t = 19; i = g + 5; b = k + 19; g = b + 6; r = m + 3; p = t + 20; a = t + 1; m = q + 15; z = r + 14; k = w + 3; u = p + 19. If t = 19, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"d": "f + 2", "n": "d + 8", "o": "n + 4", "q": "o + 3", "s": "q + 4", "k": "s + 1", "v": "f + 14", "c": "v + 1", "l": "c + 16", "g": "l + 4", "m": "g + 7", "x": "m + 19", "f": 15}, "premises": {"f": 15}, "target": "k"}, "answer": {"steps": [["s", "q + 4", "q + 5"], ["q", "o + 3", "o + 8"], ["o", "n + 4", "n + 12"], ["n", "d + 8", "d + 20"], ["d", "f + 2", "f + 22"], ["f", 15, "37"]], "target_var_name": "k", "target_value": 37, "value_dict": {"f": 15}, "is_reverse": true}} | 6,622 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = f + 2; f = 15; x = m + 19; n = d + 8; l = c + 16; o = n + 4; q = o + 3; m = g + 7; s = q + 4; c = v + 1; v = f + 14; g = l + 4; k = s + 1. Given that f = 15, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 37,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = q + 4 to k, which gives k = q + 5.\n2. Substitute q = o + 3 to k, which gives k = o + 8.\n3. Substitute o = n + 4 to k, which gives k = n + 12.\n4. Substitute n = d + 8 to k, which gives k = d + 20.\n5. Substitute d = f + 2 to k, which gives k = f + 22.\n6. Substitute f = 15 to k, which gives k = 37.\n\nThus, the final answer is k = \\boxed{37}.",
"index": 6622,
"question": "Suppose a collection of variables is related by the following definitions: d = f + 2; f = 15; x = m + 19; n = d + 8; l = c + 16; o = n + 4; q = o + 3; m = g + 7; s = q + 4; c = v + 1; v = f + 14; g = l + 4; k = s + 1. Given that f = 15, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"s": "c + 2", "n": "s + 7", "d": "n + 2", "m": "d + 20", "g": "m + 18", "q": "g + 11", "t": "c + 8", "k": "t + 7", "u": "k + 6", "e": "u + 19", "r": "e + 7", "h": "r + 9", "c": 12}, "premises": {"c": 12}, "target": "q"}, "answer": {"steps": [["g", "m + 18", "m + 29"], ["m", "d + 20", "d + 49"], ["d", "n + 2", "n + 51"], ["n", "s + 7", "s + 58"], ["s", "c + 2", "c + 60"], ["c", 12, "72"]], "target_var_name": "q", "target_value": 72, "value_dict": {"c": 12}, "is_reverse": true}} | 6,623 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = r + 9; e = u + 19; c = 12; u = k + 6; s = c + 2; d = n + 2; r = e + 7; t = c + 8; n = s + 7; g = m + 18; m = d + 20; k = t + 7; q = g + 11. If c = 12, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = m + 18 to q, which gives q = m + 29.\n2. Substitute m = d + 20 to q, which gives q = d + 49.\n3. Substitute d = n + 2 to q, which gives q = n + 51.\n4. Substitute n = s + 7 to q, which gives q = s + 58.\n5. Substitute s = c + 2 to q, which gives q = c + 60.\n6. Substitute c = 12 to q, which gives q = 72.\n\nThus, the final answer is q = \\boxed{72}.",
"index": 6623,
"question": "Consider a system of variables where each variable is defined as follows: h = r + 9; e = u + 19; c = 12; u = k + 6; s = c + 2; d = n + 2; r = e + 7; t = c + 8; n = s + 7; g = m + 18; m = d + 20; k = t + 7; q = g + 11. If c = 12, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"v": "l + 11", "o": "v + 16", "d": "o + 4", "t": "d + 11", "n": "t + 20", "a": "n + 12", "u": "l + 5", "q": "u + 12", "x": "q + 10", "s": "x + 19", "w": "s + 16", "y": "w + 10", "l": 17}, "premises": {"l": 17}, "target": "a"}, "answer": {"steps": [["n", "t + 20", "t + 32"], ["t", "d + 11", "d + 43"], ["d", "o + 4", "o + 47"], ["o", "v + 16", "v + 63"], ["v", "l + 11", "l + 74"], ["l", 17, "91"]], "target_var_name": "a", "target_value": 91, "value_dict": {"l": 17}, "is_reverse": true}} | 6,624 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = x + 19; x = q + 10; y = w + 10; q = u + 12; u = l + 5; a = n + 12; d = o + 4; w = s + 16; l = 17; n = t + 20; o = v + 16; v = l + 11; t = d + 11. If l = 17, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = t + 20 to a, which gives a = t + 32.\n2. Substitute t = d + 11 to a, which gives a = d + 43.\n3. Substitute d = o + 4 to a, which gives a = o + 47.\n4. Substitute o = v + 16 to a, which gives a = v + 63.\n5. Substitute v = l + 11 to a, which gives a = l + 74.\n6. Substitute l = 17 to a, which gives a = 91.\n\nThus, the final answer is a = \\boxed{91}.",
"index": 6624,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = x + 19; x = q + 10; y = w + 10; q = u + 12; u = l + 5; a = n + 12; d = o + 4; w = s + 16; l = 17; n = t + 20; o = v + 16; v = l + 11; t = d + 11. If l = 17, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"h": "v + 2", "d": "h + 14", "k": "d + 14", "a": "k + 3", "s": "a + 11", "p": "s + 20", "r": "v + 16", "e": "r + 16", "t": "e + 9", "o": "t + 11", "m": "o + 6", "x": "m + 1", "v": 7}, "premises": {"v": 7}, "target": "p"}, "answer": {"steps": [["s", "a + 11", "a + 31"], ["a", "k + 3", "k + 34"], ["k", "d + 14", "d + 48"], ["d", "h + 14", "h + 62"], ["h", "v + 2", "v + 64"], ["v", 7, "71"]], "target_var_name": "p", "target_value": 71, "value_dict": {"v": 7}, "is_reverse": true}} | 6,625 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = 7; d = h + 14; p = s + 20; k = d + 14; t = e + 9; m = o + 6; h = v + 2; r = v + 16; s = a + 11; o = t + 11; a = k + 3; e = r + 16; x = m + 1. If v = 7, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = a + 11 to p, which gives p = a + 31.\n2. Substitute a = k + 3 to p, which gives p = k + 34.\n3. Substitute k = d + 14 to p, which gives p = d + 48.\n4. Substitute d = h + 14 to p, which gives p = h + 62.\n5. Substitute h = v + 2 to p, which gives p = v + 64.\n6. Substitute v = 7 to p, which gives p = 71.\n\nThus, the final answer is p = \\boxed{71}.",
"index": 6625,
"question": "Consider a system of variables where each variable is defined as follows: v = 7; d = h + 14; p = s + 20; k = d + 14; t = e + 9; m = o + 6; h = v + 2; r = v + 16; s = a + 11; o = t + 11; a = k + 3; e = r + 16; x = m + 1. If v = 7, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"v": "w + 2", "l": "v + 7", "h": "l + 12", "o": "h + 7", "n": "o + 10", "g": "n + 17", "q": "w + 19", "c": "q + 15", "y": "c + 8", "a": "y + 17", "p": "a + 11", "t": "p + 13", "w": 1}, "premises": {"w": 1}, "target": "g"}, "answer": {"steps": [["n", "o + 10", "o + 27"], ["o", "h + 7", "h + 34"], ["h", "l + 12", "l + 46"], ["l", "v + 7", "v + 53"], ["v", "w + 2", "w + 55"], ["w", 1, "56"]], "target_var_name": "g", "target_value": 56, "value_dict": {"w": 1}, "is_reverse": true}} | 6,626 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = h + 7; a = y + 17; w = 1; t = p + 13; l = v + 7; c = q + 15; v = w + 2; p = a + 11; y = c + 8; h = l + 12; g = n + 17; q = w + 19; n = o + 10. If w = 1, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = o + 10 to g, which gives g = o + 27.\n2. Substitute o = h + 7 to g, which gives g = h + 34.\n3. Substitute h = l + 12 to g, which gives g = l + 46.\n4. Substitute l = v + 7 to g, which gives g = v + 53.\n5. Substitute v = w + 2 to g, which gives g = w + 55.\n6. Substitute w = 1 to g, which gives g = 56.\n\nThus, the final answer is g = \\boxed{56}.",
"index": 6626,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = h + 7; a = y + 17; w = 1; t = p + 13; l = v + 7; c = q + 15; v = w + 2; p = a + 11; y = c + 8; h = l + 12; g = n + 17; q = w + 19; n = o + 10. If w = 1, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"g": "r + 6", "d": "g + 19", "t": "d + 6", "f": "t + 3", "j": "f + 3", "o": "j + 6", "b": "r + 10", "x": "b + 12", "w": "x + 18", "e": "w + 12", "u": "e + 16", "i": "u + 9", "r": 4}, "premises": {"r": 4}, "target": "o"}, "answer": {"steps": [["j", "f + 3", "f + 9"], ["f", "t + 3", "t + 12"], ["t", "d + 6", "d + 18"], ["d", "g + 19", "g + 37"], ["g", "r + 6", "r + 43"], ["r", 4, "47"]], "target_var_name": "o", "target_value": 47, "value_dict": {"r": 4}, "is_reverse": true}} | 6,627 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = e + 16; f = t + 3; g = r + 6; j = f + 3; w = x + 18; d = g + 19; x = b + 12; r = 4; o = j + 6; b = r + 10; e = w + 12; t = d + 6; i = u + 9. If r = 4, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = f + 3 to o, which gives o = f + 9.\n2. Substitute f = t + 3 to o, which gives o = t + 12.\n3. Substitute t = d + 6 to o, which gives o = d + 18.\n4. Substitute d = g + 19 to o, which gives o = g + 37.\n5. Substitute g = r + 6 to o, which gives o = r + 43.\n6. Substitute r = 4 to o, which gives o = 47.\n\nThus, the final answer is o = \\boxed{47}.",
"index": 6627,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = e + 16; f = t + 3; g = r + 6; j = f + 3; w = x + 18; d = g + 19; x = b + 12; r = 4; o = j + 6; b = r + 10; e = w + 12; t = d + 6; i = u + 9. If r = 4, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"b": "l + 6", "x": "b + 3", "p": "x + 15", "c": "p + 7", "o": "c + 19", "m": "o + 16", "z": "l + 13", "r": "z + 8", "i": "r + 17", "k": "i + 17", "u": "k + 9", "j": "u + 5", "l": 10}, "premises": {"l": 10}, "target": "m"}, "answer": {"steps": [["o", "c + 19", "c + 35"], ["c", "p + 7", "p + 42"], ["p", "x + 15", "x + 57"], ["x", "b + 3", "b + 60"], ["b", "l + 6", "l + 66"], ["l", 10, "76"]], "target_var_name": "m", "target_value": 76, "value_dict": {"l": 10}, "is_reverse": true}} | 6,628 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = l + 6; m = o + 16; p = x + 15; j = u + 5; c = p + 7; r = z + 8; i = r + 17; k = i + 17; o = c + 19; u = k + 9; l = 10; x = b + 3; z = l + 13. Given that l = 10, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = c + 19 to m, which gives m = c + 35.\n2. Substitute c = p + 7 to m, which gives m = p + 42.\n3. Substitute p = x + 15 to m, which gives m = x + 57.\n4. Substitute x = b + 3 to m, which gives m = b + 60.\n5. Substitute b = l + 6 to m, which gives m = l + 66.\n6. Substitute l = 10 to m, which gives m = 76.\n\nThus, the final answer is m = \\boxed{76}.",
"index": 6628,
"question": "Suppose a collection of variables is related by the following definitions: b = l + 6; m = o + 16; p = x + 15; j = u + 5; c = p + 7; r = z + 8; i = r + 17; k = i + 17; o = c + 19; u = k + 9; l = 10; x = b + 3; z = l + 13. Given that l = 10, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"r": "g + 20", "b": "r + 8", "i": "b + 1", "z": "i + 14", "w": "z + 18", "c": "w + 16", "p": "g + 15", "q": "p + 10", "n": "q + 9", "u": "n + 12", "a": "u + 9", "d": "a + 10", "g": 1}, "premises": {"g": 1}, "target": "c"}, "answer": {"steps": [["w", "z + 18", "z + 34"], ["z", "i + 14", "i + 48"], ["i", "b + 1", "b + 49"], ["b", "r + 8", "r + 57"], ["r", "g + 20", "g + 77"], ["g", 1, "78"]], "target_var_name": "c", "target_value": 78, "value_dict": {"g": 1}, "is_reverse": true}} | 6,629 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = g + 15; n = q + 9; d = a + 10; i = b + 1; a = u + 9; w = z + 18; b = r + 8; q = p + 10; c = w + 16; g = 1; u = n + 12; r = g + 20; z = i + 14. If g = 1, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = z + 18 to c, which gives c = z + 34.\n2. Substitute z = i + 14 to c, which gives c = i + 48.\n3. Substitute i = b + 1 to c, which gives c = b + 49.\n4. Substitute b = r + 8 to c, which gives c = r + 57.\n5. Substitute r = g + 20 to c, which gives c = g + 77.\n6. Substitute g = 1 to c, which gives c = 78.\n\nThus, the final answer is c = \\boxed{78}.",
"index": 6629,
"question": "Consider a system of variables where each variable is defined as follows: p = g + 15; n = q + 9; d = a + 10; i = b + 1; a = u + 9; w = z + 18; b = r + 8; q = p + 10; c = w + 16; g = 1; u = n + 12; r = g + 20; z = i + 14. If g = 1, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"h": "m + 14", "l": "h + 18", "f": "l + 15", "g": "f + 11", "e": "g + 10", "d": "e + 19", "w": "m + 12", "y": "w + 13", "n": "y + 11", "a": "n + 12", "z": "a + 2", "i": "z + 17", "m": 8}, "premises": {"m": 8}, "target": "d"}, "answer": {"steps": [["e", "g + 10", "g + 29"], ["g", "f + 11", "f + 40"], ["f", "l + 15", "l + 55"], ["l", "h + 18", "h + 73"], ["h", "m + 14", "m + 87"], ["m", 8, "95"]], "target_var_name": "d", "target_value": 95, "value_dict": {"m": 8}, "is_reverse": true}} | 6,630 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = h + 18; i = z + 17; e = g + 10; w = m + 12; h = m + 14; z = a + 2; y = w + 13; n = y + 11; a = n + 12; d = e + 19; g = f + 11; m = 8; f = l + 15. Given that m = 8, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = g + 10 to d, which gives d = g + 29.\n2. Substitute g = f + 11 to d, which gives d = f + 40.\n3. Substitute f = l + 15 to d, which gives d = l + 55.\n4. Substitute l = h + 18 to d, which gives d = h + 73.\n5. Substitute h = m + 14 to d, which gives d = m + 87.\n6. Substitute m = 8 to d, which gives d = 95.\n\nThus, the final answer is d = \\boxed{95}.",
"index": 6630,
"question": "Suppose a collection of variables is related by the following definitions: l = h + 18; i = z + 17; e = g + 10; w = m + 12; h = m + 14; z = a + 2; y = w + 13; n = y + 11; a = n + 12; d = e + 19; g = f + 11; m = 8; f = l + 15. Given that m = 8, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"a": "y + 7", "k": "a + 10", "t": "k + 16", "i": "t + 17", "d": "i + 1", "r": "d + 1", "x": "y + 18", "c": "x + 9", "v": "c + 7", "z": "v + 8", "p": "z + 20", "h": "p + 18", "y": 13}, "premises": {"y": 13}, "target": "r"}, "answer": {"steps": [["d", "i + 1", "i + 2"], ["i", "t + 17", "t + 19"], ["t", "k + 16", "k + 35"], ["k", "a + 10", "a + 45"], ["a", "y + 7", "y + 52"], ["y", 13, "65"]], "target_var_name": "r", "target_value": 65, "value_dict": {"y": 13}, "is_reverse": true}} | 6,631 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = y + 7; y = 13; v = c + 7; k = a + 10; r = d + 1; t = k + 16; h = p + 18; x = y + 18; c = x + 9; d = i + 1; i = t + 17; z = v + 8; p = z + 20. Given that y = 13, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = i + 1 to r, which gives r = i + 2.\n2. Substitute i = t + 17 to r, which gives r = t + 19.\n3. Substitute t = k + 16 to r, which gives r = k + 35.\n4. Substitute k = a + 10 to r, which gives r = a + 45.\n5. Substitute a = y + 7 to r, which gives r = y + 52.\n6. Substitute y = 13 to r, which gives r = 65.\n\nThus, the final answer is r = \\boxed{65}.",
"index": 6631,
"question": "Suppose a collection of variables is related by the following definitions: a = y + 7; y = 13; v = c + 7; k = a + 10; r = d + 1; t = k + 16; h = p + 18; x = y + 18; c = x + 9; d = i + 1; i = t + 17; z = v + 8; p = z + 20. Given that y = 13, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"j": "k + 9", "f": "j + 10", "o": "f + 4", "g": "o + 7", "d": "g + 6", "w": "d + 15", "r": "k + 2", "e": "r + 9", "l": "e + 5", "m": "l + 1", "u": "m + 3", "v": "u + 8", "k": 6}, "premises": {"k": 6}, "target": "w"}, "answer": {"steps": [["d", "g + 6", "g + 21"], ["g", "o + 7", "o + 28"], ["o", "f + 4", "f + 32"], ["f", "j + 10", "j + 42"], ["j", "k + 9", "k + 51"], ["k", 6, "57"]], "target_var_name": "w", "target_value": 57, "value_dict": {"k": 6}, "is_reverse": true}} | 6,632 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = j + 10; e = r + 9; d = g + 6; g = o + 7; v = u + 8; r = k + 2; o = f + 4; j = k + 9; w = d + 15; k = 6; m = l + 1; u = m + 3; l = e + 5. Given that k = 6, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = g + 6 to w, which gives w = g + 21.\n2. Substitute g = o + 7 to w, which gives w = o + 28.\n3. Substitute o = f + 4 to w, which gives w = f + 32.\n4. Substitute f = j + 10 to w, which gives w = j + 42.\n5. Substitute j = k + 9 to w, which gives w = k + 51.\n6. Substitute k = 6 to w, which gives w = 57.\n\nThus, the final answer is w = \\boxed{57}.",
"index": 6632,
"question": "Suppose a collection of variables is related by the following definitions: f = j + 10; e = r + 9; d = g + 6; g = o + 7; v = u + 8; r = k + 2; o = f + 4; j = k + 9; w = d + 15; k = 6; m = l + 1; u = m + 3; l = e + 5. Given that k = 6, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"s": "i + 17", "j": "s + 13", "q": "j + 6", "g": "q + 9", "e": "g + 20", "b": "e + 18", "w": "i + 20", "a": "w + 14", "p": "a + 12", "u": "p + 16", "v": "u + 3", "o": "v + 8", "i": 1}, "premises": {"i": 1}, "target": "b"}, "answer": {"steps": [["e", "g + 20", "g + 38"], ["g", "q + 9", "q + 47"], ["q", "j + 6", "j + 53"], ["j", "s + 13", "s + 66"], ["s", "i + 17", "i + 83"], ["i", 1, "84"]], "target_var_name": "b", "target_value": 84, "value_dict": {"i": 1}, "is_reverse": true}} | 6,633 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = e + 18; q = j + 6; o = v + 8; g = q + 9; s = i + 17; w = i + 20; p = a + 12; e = g + 20; j = s + 13; u = p + 16; v = u + 3; i = 1; a = w + 14. Given that i = 1, find 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 e = g + 20 to b, which gives b = g + 38.\n2. Substitute g = q + 9 to b, which gives b = q + 47.\n3. Substitute q = j + 6 to b, which gives b = j + 53.\n4. Substitute j = s + 13 to b, which gives b = s + 66.\n5. Substitute s = i + 17 to b, which gives b = i + 83.\n6. Substitute i = 1 to b, which gives b = 84.\n\nThus, the final answer is b = \\boxed{84}.",
"index": 6633,
"question": "Suppose a collection of variables is related by the following definitions: b = e + 18; q = j + 6; o = v + 8; g = q + 9; s = i + 17; w = i + 20; p = a + 12; e = g + 20; j = s + 13; u = p + 16; v = u + 3; i = 1; a = w + 14. Given that i = 1, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"s": "j + 4", "m": "s + 12", "k": "m + 13", "u": "k + 3", "t": "u + 13", "c": "t + 12", "g": "j + 20", "r": "g + 10", "n": "r + 17", "d": "n + 11", "q": "d + 11", "x": "q + 1", "j": 10}, "premises": {"j": 10}, "target": "c"}, "answer": {"steps": [["t", "u + 13", "u + 25"], ["u", "k + 3", "k + 28"], ["k", "m + 13", "m + 41"], ["m", "s + 12", "s + 53"], ["s", "j + 4", "j + 57"], ["j", 10, "67"]], "target_var_name": "c", "target_value": 67, "value_dict": {"j": 10}, "is_reverse": true}} | 6,634 | 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 = t + 12; s = j + 4; t = u + 13; n = r + 17; k = m + 13; d = n + 11; q = d + 11; u = k + 3; r = g + 10; g = j + 20; x = q + 1; j = 10; m = s + 12. If j = 10, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = u + 13 to c, which gives c = u + 25.\n2. Substitute u = k + 3 to c, which gives c = k + 28.\n3. Substitute k = m + 13 to c, which gives c = m + 41.\n4. Substitute m = s + 12 to c, which gives c = s + 53.\n5. Substitute s = j + 4 to c, which gives c = j + 57.\n6. Substitute j = 10 to c, which gives c = 67.\n\nThus, the final answer is c = \\boxed{67}.",
"index": 6634,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = t + 12; s = j + 4; t = u + 13; n = r + 17; k = m + 13; d = n + 11; q = d + 11; u = k + 3; r = g + 10; g = j + 20; x = q + 1; j = 10; m = s + 12. If j = 10, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"w": "j + 12", "q": "w + 18", "f": "q + 17", "e": "f + 2", "l": "e + 8", "n": "l + 14", "x": "j + 18", "h": "x + 4", "p": "h + 17", "t": "p + 9", "s": "t + 13", "i": "s + 19", "j": 18}, "premises": {"j": 18}, "target": "n"}, "answer": {"steps": [["l", "e + 8", "e + 22"], ["e", "f + 2", "f + 24"], ["f", "q + 17", "q + 41"], ["q", "w + 18", "w + 59"], ["w", "j + 12", "j + 71"], ["j", 18, "89"]], "target_var_name": "n", "target_value": 89, "value_dict": {"j": 18}, "is_reverse": true}} | 6,635 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = q + 17; j = 18; h = x + 4; e = f + 2; q = w + 18; w = j + 12; l = e + 8; t = p + 9; s = t + 13; p = h + 17; i = s + 19; x = j + 18; n = l + 14. Given that j = 18, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = e + 8 to n, which gives n = e + 22.\n2. Substitute e = f + 2 to n, which gives n = f + 24.\n3. Substitute f = q + 17 to n, which gives n = q + 41.\n4. Substitute q = w + 18 to n, which gives n = w + 59.\n5. Substitute w = j + 12 to n, which gives n = j + 71.\n6. Substitute j = 18 to n, which gives n = 89.\n\nThus, the final answer is n = \\boxed{89}.",
"index": 6635,
"question": "Suppose a collection of variables is related by the following definitions: f = q + 17; j = 18; h = x + 4; e = f + 2; q = w + 18; w = j + 12; l = e + 8; t = p + 9; s = t + 13; p = h + 17; i = s + 19; x = j + 18; n = l + 14. Given that j = 18, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"c": "r + 20", "p": "c + 6", "l": "p + 3", "d": "l + 13", "t": "d + 2", "h": "t + 18", "v": "r + 11", "z": "v + 16", "w": "z + 4", "o": "w + 13", "n": "o + 19", "u": "n + 9", "r": 5}, "premises": {"r": 5}, "target": "h"}, "answer": {"steps": [["t", "d + 2", "d + 20"], ["d", "l + 13", "l + 33"], ["l", "p + 3", "p + 36"], ["p", "c + 6", "c + 42"], ["c", "r + 20", "r + 62"], ["r", 5, "67"]], "target_var_name": "h", "target_value": 67, "value_dict": {"r": 5}, "is_reverse": true}} | 6,636 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = w + 13; u = n + 9; c = r + 20; p = c + 6; l = p + 3; n = o + 19; w = z + 4; d = l + 13; r = 5; t = d + 2; v = r + 11; z = v + 16; h = t + 18. If r = 5, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = d + 2 to h, which gives h = d + 20.\n2. Substitute d = l + 13 to h, which gives h = l + 33.\n3. Substitute l = p + 3 to h, which gives h = p + 36.\n4. Substitute p = c + 6 to h, which gives h = c + 42.\n5. Substitute c = r + 20 to h, which gives h = r + 62.\n6. Substitute r = 5 to h, which gives h = 67.\n\nThus, the final answer is h = \\boxed{67}.",
"index": 6636,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = w + 13; u = n + 9; c = r + 20; p = c + 6; l = p + 3; n = o + 19; w = z + 4; d = l + 13; r = 5; t = d + 2; v = r + 11; z = v + 16; h = t + 18. If r = 5, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"u": "f + 1", "c": "u + 9", "z": "c + 12", "t": "z + 19", "m": "t + 10", "y": "m + 8", "p": "f + 19", "d": "p + 1", "b": "d + 7", "a": "b + 2", "i": "a + 6", "s": "i + 19", "f": 3}, "premises": {"f": 3}, "target": "y"}, "answer": {"steps": [["m", "t + 10", "t + 18"], ["t", "z + 19", "z + 37"], ["z", "c + 12", "c + 49"], ["c", "u + 9", "u + 58"], ["u", "f + 1", "f + 59"], ["f", 3, "62"]], "target_var_name": "y", "target_value": 62, "value_dict": {"f": 3}, "is_reverse": true}} | 6,637 | 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 = m + 8; z = c + 12; p = f + 19; t = z + 19; a = b + 2; i = a + 6; d = p + 1; b = d + 7; c = u + 9; m = t + 10; f = 3; u = f + 1; s = i + 19. If f = 3, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = t + 10 to y, which gives y = t + 18.\n2. Substitute t = z + 19 to y, which gives y = z + 37.\n3. Substitute z = c + 12 to y, which gives y = c + 49.\n4. Substitute c = u + 9 to y, which gives y = u + 58.\n5. Substitute u = f + 1 to y, which gives y = f + 59.\n6. Substitute f = 3 to y, which gives y = 62.\n\nThus, the final answer is y = \\boxed{62}.",
"index": 6637,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = m + 8; z = c + 12; p = f + 19; t = z + 19; a = b + 2; i = a + 6; d = p + 1; b = d + 7; c = u + 9; m = t + 10; f = 3; u = f + 1; s = i + 19. If f = 3, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"c": "i + 11", "w": "c + 5", "a": "w + 18", "h": "a + 11", "f": "h + 1", "t": "f + 4", "l": "i + 18", "n": "l + 3", "d": "n + 20", "g": "d + 15", "z": "g + 12", "o": "z + 1", "i": 20}, "premises": {"i": 20}, "target": "t"}, "answer": {"steps": [["f", "h + 1", "h + 5"], ["h", "a + 11", "a + 16"], ["a", "w + 18", "w + 34"], ["w", "c + 5", "c + 39"], ["c", "i + 11", "i + 50"], ["i", 20, "70"]], "target_var_name": "t", "target_value": 70, "value_dict": {"i": 20}, "is_reverse": true}} | 6,638 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = h + 1; h = a + 11; c = i + 11; o = z + 1; n = l + 3; i = 20; l = i + 18; g = d + 15; z = g + 12; t = f + 4; d = n + 20; w = c + 5; a = w + 18. If i = 20, what is the resulting value of t?",
"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 + 1 to t, which gives t = h + 5.\n2. Substitute h = a + 11 to t, which gives t = a + 16.\n3. Substitute a = w + 18 to t, which gives t = w + 34.\n4. Substitute w = c + 5 to t, which gives t = c + 39.\n5. Substitute c = i + 11 to t, which gives t = i + 50.\n6. Substitute i = 20 to t, which gives t = 70.\n\nThus, the final answer is t = \\boxed{70}.",
"index": 6638,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = h + 1; h = a + 11; c = i + 11; o = z + 1; n = l + 3; i = 20; l = i + 18; g = d + 15; z = g + 12; t = f + 4; d = n + 20; w = c + 5; a = w + 18. If i = 20, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"i": "x + 12", "m": "i + 12", "n": "m + 1", "o": "n + 9", "e": "o + 18", "y": "e + 8", "h": "x + 16", "d": "h + 10", "s": "d + 7", "f": "s + 15", "w": "f + 15", "k": "w + 16", "x": 11}, "premises": {"x": 11}, "target": "y"}, "answer": {"steps": [["e", "o + 18", "o + 26"], ["o", "n + 9", "n + 35"], ["n", "m + 1", "m + 36"], ["m", "i + 12", "i + 48"], ["i", "x + 12", "x + 60"], ["x", 11, "71"]], "target_var_name": "y", "target_value": 71, "value_dict": {"x": 11}, "is_reverse": true}} | 6,639 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = x + 12; x = 11; h = x + 16; k = w + 16; m = i + 12; e = o + 18; f = s + 15; o = n + 9; y = e + 8; w = f + 15; n = m + 1; d = h + 10; s = d + 7. If x = 11, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = o + 18 to y, which gives y = o + 26.\n2. Substitute o = n + 9 to y, which gives y = n + 35.\n3. Substitute n = m + 1 to y, which gives y = m + 36.\n4. Substitute m = i + 12 to y, which gives y = i + 48.\n5. Substitute i = x + 12 to y, which gives y = x + 60.\n6. Substitute x = 11 to y, which gives y = 71.\n\nThus, the final answer is y = \\boxed{71}.",
"index": 6639,
"question": "Consider a system of variables where each variable is defined as follows: i = x + 12; x = 11; h = x + 16; k = w + 16; m = i + 12; e = o + 18; f = s + 15; o = n + 9; y = e + 8; w = f + 15; n = m + 1; d = h + 10; s = d + 7. If x = 11, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"y": "r + 6", "f": "y + 5", "b": "f + 1", "o": "b + 18", "m": "o + 1", "h": "m + 5", "w": "r + 2", "c": "w + 17", "p": "c + 14", "i": "p + 16", "z": "i + 15", "q": "z + 7", "r": 14}, "premises": {"r": 14}, "target": "h"}, "answer": {"steps": [["m", "o + 1", "o + 6"], ["o", "b + 18", "b + 24"], ["b", "f + 1", "f + 25"], ["f", "y + 5", "y + 30"], ["y", "r + 6", "r + 36"], ["r", 14, "50"]], "target_var_name": "h", "target_value": 50, "value_dict": {"r": 14}, "is_reverse": true}} | 6,640 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = c + 14; y = r + 6; b = f + 1; m = o + 1; o = b + 18; z = i + 15; f = y + 5; r = 14; c = w + 17; w = r + 2; h = m + 5; i = p + 16; q = z + 7. If r = 14, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = o + 1 to h, which gives h = o + 6.\n2. Substitute o = b + 18 to h, which gives h = b + 24.\n3. Substitute b = f + 1 to h, which gives h = f + 25.\n4. Substitute f = y + 5 to h, which gives h = y + 30.\n5. Substitute y = r + 6 to h, which gives h = r + 36.\n6. Substitute r = 14 to h, which gives h = 50.\n\nThus, the final answer is h = \\boxed{50}.",
"index": 6640,
"question": "Consider a system of variables where each variable is defined as follows: p = c + 14; y = r + 6; b = f + 1; m = o + 1; o = b + 18; z = i + 15; f = y + 5; r = 14; c = w + 17; w = r + 2; h = m + 5; i = p + 16; q = z + 7. If r = 14, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"g": "d + 2", "t": "g + 13", "e": "t + 5", "w": "e + 1", "r": "w + 14", "j": "r + 11", "a": "d + 7", "c": "a + 1", "b": "c + 5", "i": "b + 12", "o": "i + 3", "k": "o + 12", "d": 7}, "premises": {"d": 7}, "target": "j"}, "answer": {"steps": [["r", "w + 14", "w + 25"], ["w", "e + 1", "e + 26"], ["e", "t + 5", "t + 31"], ["t", "g + 13", "g + 44"], ["g", "d + 2", "d + 46"], ["d", 7, "53"]], "target_var_name": "j", "target_value": 53, "value_dict": {"d": 7}, "is_reverse": true}} | 6,641 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = w + 14; g = d + 2; c = a + 1; d = 7; k = o + 12; t = g + 13; o = i + 3; a = d + 7; e = t + 5; i = b + 12; w = e + 1; j = r + 11; b = c + 5. Given that d = 7, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = w + 14 to j, which gives j = w + 25.\n2. Substitute w = e + 1 to j, which gives j = e + 26.\n3. Substitute e = t + 5 to j, which gives j = t + 31.\n4. Substitute t = g + 13 to j, which gives j = g + 44.\n5. Substitute g = d + 2 to j, which gives j = d + 46.\n6. Substitute d = 7 to j, which gives j = 53.\n\nThus, the final answer is j = \\boxed{53}.",
"index": 6641,
"question": "Suppose a collection of variables is related by the following definitions: r = w + 14; g = d + 2; c = a + 1; d = 7; k = o + 12; t = g + 13; o = i + 3; a = d + 7; e = t + 5; i = b + 12; w = e + 1; j = r + 11; b = c + 5. Given that d = 7, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"s": "a + 1", "c": "s + 9", "b": "c + 1", "t": "b + 13", "f": "t + 5", "w": "f + 17", "z": "a + 16", "g": "z + 9", "q": "g + 20", "l": "q + 17", "r": "l + 14", "p": "r + 15", "a": 19}, "premises": {"a": 19}, "target": "w"}, "answer": {"steps": [["f", "t + 5", "t + 22"], ["t", "b + 13", "b + 35"], ["b", "c + 1", "c + 36"], ["c", "s + 9", "s + 45"], ["s", "a + 1", "a + 46"], ["a", 19, "65"]], "target_var_name": "w", "target_value": 65, "value_dict": {"a": 19}, "is_reverse": true}} | 6,642 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = r + 15; z = a + 16; s = a + 1; r = l + 14; g = z + 9; l = q + 17; a = 19; c = s + 9; t = b + 13; b = c + 1; f = t + 5; w = f + 17; q = g + 20. If a = 19, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = t + 5 to w, which gives w = t + 22.\n2. Substitute t = b + 13 to w, which gives w = b + 35.\n3. Substitute b = c + 1 to w, which gives w = c + 36.\n4. Substitute c = s + 9 to w, which gives w = s + 45.\n5. Substitute s = a + 1 to w, which gives w = a + 46.\n6. Substitute a = 19 to w, which gives w = 65.\n\nThus, the final answer is w = \\boxed{65}.",
"index": 6642,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = r + 15; z = a + 16; s = a + 1; r = l + 14; g = z + 9; l = q + 17; a = 19; c = s + 9; t = b + 13; b = c + 1; f = t + 5; w = f + 17; q = g + 20. If a = 19, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"d": "h + 15", "r": "d + 2", "q": "r + 17", "a": "q + 12", "i": "a + 4", "w": "i + 17", "g": "h + 4", "j": "g + 10", "y": "j + 13", "k": "y + 13", "o": "k + 5", "n": "o + 11", "h": 5}, "premises": {"h": 5}, "target": "w"}, "answer": {"steps": [["i", "a + 4", "a + 21"], ["a", "q + 12", "q + 33"], ["q", "r + 17", "r + 50"], ["r", "d + 2", "d + 52"], ["d", "h + 15", "h + 67"], ["h", 5, "72"]], "target_var_name": "w", "target_value": 72, "value_dict": {"h": 5}, "is_reverse": true}} | 6,643 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = i + 17; a = q + 12; h = 5; j = g + 10; n = o + 11; r = d + 2; i = a + 4; g = h + 4; y = j + 13; o = k + 5; k = y + 13; d = h + 15; q = r + 17. Given that h = 5, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = a + 4 to w, which gives w = a + 21.\n2. Substitute a = q + 12 to w, which gives w = q + 33.\n3. Substitute q = r + 17 to w, which gives w = r + 50.\n4. Substitute r = d + 2 to w, which gives w = d + 52.\n5. Substitute d = h + 15 to w, which gives w = h + 67.\n6. Substitute h = 5 to w, which gives w = 72.\n\nThus, the final answer is w = \\boxed{72}.",
"index": 6643,
"question": "Suppose a collection of variables is related by the following definitions: w = i + 17; a = q + 12; h = 5; j = g + 10; n = o + 11; r = d + 2; i = a + 4; g = h + 4; y = j + 13; o = k + 5; k = y + 13; d = h + 15; q = r + 17. Given that h = 5, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"z": "a + 4", "s": "z + 12", "c": "s + 4", "n": "c + 8", "w": "n + 3", "b": "w + 10", "p": "a + 19", "e": "p + 13", "l": "e + 4", "m": "l + 12", "t": "m + 10", "g": "t + 2", "a": 2}, "premises": {"a": 2}, "target": "b"}, "answer": {"steps": [["w", "n + 3", "n + 13"], ["n", "c + 8", "c + 21"], ["c", "s + 4", "s + 25"], ["s", "z + 12", "z + 37"], ["z", "a + 4", "a + 41"], ["a", 2, "43"]], "target_var_name": "b", "target_value": 43, "value_dict": {"a": 2}, "is_reverse": true}} | 6,644 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = a + 19; z = a + 4; g = t + 2; b = w + 10; s = z + 12; m = l + 12; a = 2; e = p + 13; w = n + 3; c = s + 4; n = c + 8; l = e + 4; t = m + 10. If a = 2, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = n + 3 to b, which gives b = n + 13.\n2. Substitute n = c + 8 to b, which gives b = c + 21.\n3. Substitute c = s + 4 to b, which gives b = s + 25.\n4. Substitute s = z + 12 to b, which gives b = z + 37.\n5. Substitute z = a + 4 to b, which gives b = a + 41.\n6. Substitute a = 2 to b, which gives b = 43.\n\nThus, the final answer is b = \\boxed{43}.",
"index": 6644,
"question": "Consider a system of variables where each variable is defined as follows: p = a + 19; z = a + 4; g = t + 2; b = w + 10; s = z + 12; m = l + 12; a = 2; e = p + 13; w = n + 3; c = s + 4; n = c + 8; l = e + 4; t = m + 10. If a = 2, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"p": "t + 4", "g": "p + 2", "v": "g + 14", "u": "v + 14", "b": "u + 5", "a": "b + 20", "m": "t + 15", "l": "m + 3", "i": "l + 9", "y": "i + 17", "f": "y + 16", "e": "f + 4", "t": 19}, "premises": {"t": 19}, "target": "a"}, "answer": {"steps": [["b", "u + 5", "u + 25"], ["u", "v + 14", "v + 39"], ["v", "g + 14", "g + 53"], ["g", "p + 2", "p + 55"], ["p", "t + 4", "t + 59"], ["t", 19, "78"]], "target_var_name": "a", "target_value": 78, "value_dict": {"t": 19}, "is_reverse": true}} | 6,645 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = y + 16; a = b + 20; m = t + 15; b = u + 5; u = v + 14; v = g + 14; p = t + 4; i = l + 9; g = p + 2; l = m + 3; e = f + 4; t = 19; y = i + 17. If t = 19, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = u + 5 to a, which gives a = u + 25.\n2. Substitute u = v + 14 to a, which gives a = v + 39.\n3. Substitute v = g + 14 to a, which gives a = g + 53.\n4. Substitute g = p + 2 to a, which gives a = p + 55.\n5. Substitute p = t + 4 to a, which gives a = t + 59.\n6. Substitute t = 19 to a, which gives a = 78.\n\nThus, the final answer is a = \\boxed{78}.",
"index": 6645,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = y + 16; a = b + 20; m = t + 15; b = u + 5; u = v + 14; v = g + 14; p = t + 4; i = l + 9; g = p + 2; l = m + 3; e = f + 4; t = 19; y = i + 17. If t = 19, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"r": "j + 18", "s": "r + 5", "x": "s + 15", "p": "x + 8", "k": "p + 15", "t": "k + 6", "q": "j + 19", "g": "q + 5", "b": "g + 10", "e": "b + 9", "f": "e + 9", "y": "f + 5", "j": 11}, "premises": {"j": 11}, "target": "t"}, "answer": {"steps": [["k", "p + 15", "p + 21"], ["p", "x + 8", "x + 29"], ["x", "s + 15", "s + 44"], ["s", "r + 5", "r + 49"], ["r", "j + 18", "j + 67"], ["j", 11, "78"]], "target_var_name": "t", "target_value": 78, "value_dict": {"j": 11}, "is_reverse": true}} | 6,646 | 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 = j + 18; g = q + 5; s = r + 5; x = s + 15; t = k + 6; k = p + 15; p = x + 8; e = b + 9; q = j + 19; y = f + 5; b = g + 10; f = e + 9; j = 11. If j = 11, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = p + 15 to t, which gives t = p + 21.\n2. Substitute p = x + 8 to t, which gives t = x + 29.\n3. Substitute x = s + 15 to t, which gives t = s + 44.\n4. Substitute s = r + 5 to t, which gives t = r + 49.\n5. Substitute r = j + 18 to t, which gives t = j + 67.\n6. Substitute j = 11 to t, which gives t = 78.\n\nThus, the final answer is t = \\boxed{78}.",
"index": 6646,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = j + 18; g = q + 5; s = r + 5; x = s + 15; t = k + 6; k = p + 15; p = x + 8; e = b + 9; q = j + 19; y = f + 5; b = g + 10; f = e + 9; j = 11. If j = 11, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"w": "q + 1", "d": "w + 2", "k": "d + 16", "h": "k + 3", "s": "h + 18", "b": "s + 20", "n": "q + 2", "v": "n + 4", "j": "v + 9", "g": "j + 4", "m": "g + 14", "a": "m + 8", "q": 9}, "premises": {"q": 9}, "target": "b"}, "answer": {"steps": [["s", "h + 18", "h + 38"], ["h", "k + 3", "k + 41"], ["k", "d + 16", "d + 57"], ["d", "w + 2", "w + 59"], ["w", "q + 1", "q + 60"], ["q", 9, "69"]], "target_var_name": "b", "target_value": 69, "value_dict": {"q": 9}, "is_reverse": true}} | 6,647 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = 9; d = w + 2; n = q + 2; m = g + 14; h = k + 3; v = n + 4; s = h + 18; a = m + 8; g = j + 4; k = d + 16; w = q + 1; b = s + 20; j = v + 9. If q = 9, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = h + 18 to b, which gives b = h + 38.\n2. Substitute h = k + 3 to b, which gives b = k + 41.\n3. Substitute k = d + 16 to b, which gives b = d + 57.\n4. Substitute d = w + 2 to b, which gives b = w + 59.\n5. Substitute w = q + 1 to b, which gives b = q + 60.\n6. Substitute q = 9 to b, which gives b = 69.\n\nThus, the final answer is b = \\boxed{69}.",
"index": 6647,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = 9; d = w + 2; n = q + 2; m = g + 14; h = k + 3; v = n + 4; s = h + 18; a = m + 8; g = j + 4; k = d + 16; w = q + 1; b = s + 20; j = v + 9. If q = 9, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"a": "t + 13", "w": "a + 17", "d": "w + 11", "e": "d + 10", "g": "e + 8", "f": "g + 19", "b": "t + 20", "v": "b + 4", "p": "v + 9", "q": "p + 8", "m": "q + 17", "u": "m + 12", "t": 15}, "premises": {"t": 15}, "target": "f"}, "answer": {"steps": [["g", "e + 8", "e + 27"], ["e", "d + 10", "d + 37"], ["d", "w + 11", "w + 48"], ["w", "a + 17", "a + 65"], ["a", "t + 13", "t + 78"], ["t", 15, "93"]], "target_var_name": "f", "target_value": 93, "value_dict": {"t": 15}, "is_reverse": true}} | 6,648 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = m + 12; m = q + 17; g = e + 8; b = t + 20; v = b + 4; f = g + 19; q = p + 8; p = v + 9; e = d + 10; w = a + 17; t = 15; d = w + 11; a = t + 13. If t = 15, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = e + 8 to f, which gives f = e + 27.\n2. Substitute e = d + 10 to f, which gives f = d + 37.\n3. Substitute d = w + 11 to f, which gives f = w + 48.\n4. Substitute w = a + 17 to f, which gives f = a + 65.\n5. Substitute a = t + 13 to f, which gives f = t + 78.\n6. Substitute t = 15 to f, which gives f = 93.\n\nThus, the final answer is f = \\boxed{93}.",
"index": 6648,
"question": "Consider a system of variables where each variable is defined as follows: u = m + 12; m = q + 17; g = e + 8; b = t + 20; v = b + 4; f = g + 19; q = p + 8; p = v + 9; e = d + 10; w = a + 17; t = 15; d = w + 11; a = t + 13. If t = 15, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"m": "f + 4", "p": "m + 19", "w": "p + 7", "a": "w + 10", "c": "a + 5", "l": "c + 19", "x": "f + 7", "v": "x + 6", "r": "v + 1", "z": "r + 9", "t": "z + 4", "i": "t + 18", "f": 3}, "premises": {"f": 3}, "target": "l"}, "answer": {"steps": [["c", "a + 5", "a + 24"], ["a", "w + 10", "w + 34"], ["w", "p + 7", "p + 41"], ["p", "m + 19", "m + 60"], ["m", "f + 4", "f + 64"], ["f", 3, "67"]], "target_var_name": "l", "target_value": 67, "value_dict": {"f": 3}, "is_reverse": true}} | 6,649 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = w + 10; x = f + 7; f = 3; z = r + 9; w = p + 7; c = a + 5; p = m + 19; t = z + 4; m = f + 4; r = v + 1; v = x + 6; i = t + 18; l = c + 19. If f = 3, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = a + 5 to l, which gives l = a + 24.\n2. Substitute a = w + 10 to l, which gives l = w + 34.\n3. Substitute w = p + 7 to l, which gives l = p + 41.\n4. Substitute p = m + 19 to l, which gives l = m + 60.\n5. Substitute m = f + 4 to l, which gives l = f + 64.\n6. Substitute f = 3 to l, which gives l = 67.\n\nThus, the final answer is l = \\boxed{67}.",
"index": 6649,
"question": "Consider a system of variables where each variable is defined as follows: a = w + 10; x = f + 7; f = 3; z = r + 9; w = p + 7; c = a + 5; p = m + 19; t = z + 4; m = f + 4; r = v + 1; v = x + 6; i = t + 18; l = c + 19. If f = 3, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"i": "w + 6", "j": "i + 18", "o": "j + 1", "y": "o + 15", "u": "y + 12", "l": "u + 1", "s": "w + 2", "e": "s + 18", "x": "e + 18", "q": "x + 6", "z": "q + 12", "p": "z + 5", "w": 4}, "premises": {"w": 4}, "target": "l"}, "answer": {"steps": [["u", "y + 12", "y + 13"], ["y", "o + 15", "o + 28"], ["o", "j + 1", "j + 29"], ["j", "i + 18", "i + 47"], ["i", "w + 6", "w + 53"], ["w", 4, "57"]], "target_var_name": "l", "target_value": 57, "value_dict": {"w": 4}, "is_reverse": true}} | 6,650 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = u + 1; q = x + 6; s = w + 2; i = w + 6; w = 4; p = z + 5; o = j + 1; x = e + 18; j = i + 18; u = y + 12; y = o + 15; e = s + 18; z = q + 12. Given that w = 4, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = y + 12 to l, which gives l = y + 13.\n2. Substitute y = o + 15 to l, which gives l = o + 28.\n3. Substitute o = j + 1 to l, which gives l = j + 29.\n4. Substitute j = i + 18 to l, which gives l = i + 47.\n5. Substitute i = w + 6 to l, which gives l = w + 53.\n6. Substitute w = 4 to l, which gives l = 57.\n\nThus, the final answer is l = \\boxed{57}.",
"index": 6650,
"question": "Suppose a collection of variables is related by the following definitions: l = u + 1; q = x + 6; s = w + 2; i = w + 6; w = 4; p = z + 5; o = j + 1; x = e + 18; j = i + 18; u = y + 12; y = o + 15; e = s + 18; z = q + 12. Given that w = 4, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"i": "s + 2", "g": "i + 15", "o": "g + 5", "r": "o + 20", "z": "r + 13", "l": "z + 10", "c": "s + 17", "y": "c + 9", "h": "y + 1", "w": "h + 19", "p": "w + 10", "e": "p + 12", "s": 10}, "premises": {"s": 10}, "target": "l"}, "answer": {"steps": [["z", "r + 13", "r + 23"], ["r", "o + 20", "o + 43"], ["o", "g + 5", "g + 48"], ["g", "i + 15", "i + 63"], ["i", "s + 2", "s + 65"], ["s", 10, "75"]], "target_var_name": "l", "target_value": 75, "value_dict": {"s": 10}, "is_reverse": true}} | 6,651 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = s + 17; p = w + 10; o = g + 5; y = c + 9; s = 10; r = o + 20; e = p + 12; z = r + 13; i = s + 2; l = z + 10; h = y + 1; w = h + 19; g = i + 15. If s = 10, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = r + 13 to l, which gives l = r + 23.\n2. Substitute r = o + 20 to l, which gives l = o + 43.\n3. Substitute o = g + 5 to l, which gives l = g + 48.\n4. Substitute g = i + 15 to l, which gives l = i + 63.\n5. Substitute i = s + 2 to l, which gives l = s + 65.\n6. Substitute s = 10 to l, which gives l = 75.\n\nThus, the final answer is l = \\boxed{75}.",
"index": 6651,
"question": "Consider a system of variables where each variable is defined as follows: c = s + 17; p = w + 10; o = g + 5; y = c + 9; s = 10; r = o + 20; e = p + 12; z = r + 13; i = s + 2; l = z + 10; h = y + 1; w = h + 19; g = i + 15. If s = 10, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"t": "a + 10", "i": "t + 2", "p": "i + 16", "m": "p + 20", "u": "m + 18", "k": "u + 7", "w": "a + 6", "q": "w + 11", "o": "q + 15", "x": "o + 16", "b": "x + 14", "j": "b + 12", "a": 20}, "premises": {"a": 20}, "target": "k"}, "answer": {"steps": [["u", "m + 18", "m + 25"], ["m", "p + 20", "p + 45"], ["p", "i + 16", "i + 61"], ["i", "t + 2", "t + 63"], ["t", "a + 10", "a + 73"], ["a", 20, "93"]], "target_var_name": "k", "target_value": 93, "value_dict": {"a": 20}, "is_reverse": true}} | 6,652 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = a + 10; x = o + 16; w = a + 6; u = m + 18; m = p + 20; j = b + 12; k = u + 7; a = 20; p = i + 16; o = q + 15; i = t + 2; q = w + 11; b = x + 14. Given that a = 20, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = m + 18 to k, which gives k = m + 25.\n2. Substitute m = p + 20 to k, which gives k = p + 45.\n3. Substitute p = i + 16 to k, which gives k = i + 61.\n4. Substitute i = t + 2 to k, which gives k = t + 63.\n5. Substitute t = a + 10 to k, which gives k = a + 73.\n6. Substitute a = 20 to k, which gives k = 93.\n\nThus, the final answer is k = \\boxed{93}.",
"index": 6652,
"question": "Suppose a collection of variables is related by the following definitions: t = a + 10; x = o + 16; w = a + 6; u = m + 18; m = p + 20; j = b + 12; k = u + 7; a = 20; p = i + 16; o = q + 15; i = t + 2; q = w + 11; b = x + 14. Given that a = 20, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"q": "a + 13", "t": "q + 7", "s": "t + 11", "u": "s + 20", "p": "u + 7", "f": "p + 18", "j": "a + 8", "v": "j + 9", "o": "v + 16", "w": "o + 20", "k": "w + 5", "m": "k + 20", "a": 20}, "premises": {"a": 20}, "target": "f"}, "answer": {"steps": [["p", "u + 7", "u + 25"], ["u", "s + 20", "s + 45"], ["s", "t + 11", "t + 56"], ["t", "q + 7", "q + 63"], ["q", "a + 13", "a + 76"], ["a", 20, "96"]], "target_var_name": "f", "target_value": 96, "value_dict": {"a": 20}, "is_reverse": true}} | 6,653 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = s + 20; f = p + 18; o = v + 16; a = 20; v = j + 9; m = k + 20; s = t + 11; q = a + 13; w = o + 20; t = q + 7; p = u + 7; j = a + 8; k = w + 5. If a = 20, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = u + 7 to f, which gives f = u + 25.\n2. Substitute u = s + 20 to f, which gives f = s + 45.\n3. Substitute s = t + 11 to f, which gives f = t + 56.\n4. Substitute t = q + 7 to f, which gives f = q + 63.\n5. Substitute q = a + 13 to f, which gives f = a + 76.\n6. Substitute a = 20 to f, which gives f = 96.\n\nThus, the final answer is f = \\boxed{96}.",
"index": 6653,
"question": "Consider a system of variables where each variable is defined as follows: u = s + 20; f = p + 18; o = v + 16; a = 20; v = j + 9; m = k + 20; s = t + 11; q = a + 13; w = o + 20; t = q + 7; p = u + 7; j = a + 8; k = w + 5. If a = 20, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"h": "t + 1", "m": "h + 14", "u": "m + 7", "k": "u + 16", "i": "k + 5", "y": "i + 3", "p": "t + 1", "f": "p + 20", "q": "f + 2", "j": "q + 17", "x": "j + 14", "s": "x + 7", "t": 12}, "premises": {"t": 12}, "target": "y"}, "answer": {"steps": [["i", "k + 5", "k + 8"], ["k", "u + 16", "u + 24"], ["u", "m + 7", "m + 31"], ["m", "h + 14", "h + 45"], ["h", "t + 1", "t + 46"], ["t", 12, "58"]], "target_var_name": "y", "target_value": 58, "value_dict": {"t": 12}, "is_reverse": true}} | 6,654 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = m + 7; f = p + 20; x = j + 14; s = x + 7; i = k + 5; m = h + 14; h = t + 1; q = f + 2; j = q + 17; y = i + 3; t = 12; p = t + 1; k = u + 16. If t = 12, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = k + 5 to y, which gives y = k + 8.\n2. Substitute k = u + 16 to y, which gives y = u + 24.\n3. Substitute u = m + 7 to y, which gives y = m + 31.\n4. Substitute m = h + 14 to y, which gives y = h + 45.\n5. Substitute h = t + 1 to y, which gives y = t + 46.\n6. Substitute t = 12 to y, which gives y = 58.\n\nThus, the final answer is y = \\boxed{58}.",
"index": 6654,
"question": "Consider a system of variables where each variable is defined as follows: u = m + 7; f = p + 20; x = j + 14; s = x + 7; i = k + 5; m = h + 14; h = t + 1; q = f + 2; j = q + 17; y = i + 3; t = 12; p = t + 1; k = u + 16. If t = 12, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"s": "m + 1", "r": "s + 20", "o": "r + 4", "g": "o + 10", "h": "g + 14", "j": "h + 12", "i": "m + 12", "c": "i + 5", "n": "c + 13", "a": "n + 9", "e": "a + 11", "b": "e + 6", "m": 8}, "premises": {"m": 8}, "target": "j"}, "answer": {"steps": [["h", "g + 14", "g + 26"], ["g", "o + 10", "o + 36"], ["o", "r + 4", "r + 40"], ["r", "s + 20", "s + 60"], ["s", "m + 1", "m + 61"], ["m", 8, "69"]], "target_var_name": "j", "target_value": 69, "value_dict": {"m": 8}, "is_reverse": true}} | 6,655 | 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 = i + 5; n = c + 13; j = h + 12; s = m + 1; i = m + 12; a = n + 9; r = s + 20; o = r + 4; h = g + 14; e = a + 11; b = e + 6; g = o + 10; m = 8. If m = 8, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = g + 14 to j, which gives j = g + 26.\n2. Substitute g = o + 10 to j, which gives j = o + 36.\n3. Substitute o = r + 4 to j, which gives j = r + 40.\n4. Substitute r = s + 20 to j, which gives j = s + 60.\n5. Substitute s = m + 1 to j, which gives j = m + 61.\n6. Substitute m = 8 to j, which gives j = 69.\n\nThus, the final answer is j = \\boxed{69}.",
"index": 6655,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = i + 5; n = c + 13; j = h + 12; s = m + 1; i = m + 12; a = n + 9; r = s + 20; o = r + 4; h = g + 14; e = a + 11; b = e + 6; g = o + 10; m = 8. If m = 8, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"g": "p + 17", "y": "g + 3", "d": "y + 7", "w": "d + 13", "h": "w + 13", "e": "h + 7", "s": "p + 12", "k": "s + 19", "z": "k + 1", "o": "z + 16", "r": "o + 14", "v": "r + 20", "p": 4}, "premises": {"p": 4}, "target": "e"}, "answer": {"steps": [["h", "w + 13", "w + 20"], ["w", "d + 13", "d + 33"], ["d", "y + 7", "y + 40"], ["y", "g + 3", "g + 43"], ["g", "p + 17", "p + 60"], ["p", 4, "64"]], "target_var_name": "e", "target_value": 64, "value_dict": {"p": 4}, "is_reverse": true}} | 6,656 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = w + 13; r = o + 14; k = s + 19; y = g + 3; s = p + 12; e = h + 7; d = y + 7; w = d + 13; o = z + 16; z = k + 1; v = r + 20; p = 4; g = p + 17. If p = 4, 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 h = w + 13 to e, which gives e = w + 20.\n2. Substitute w = d + 13 to e, which gives e = d + 33.\n3. Substitute d = y + 7 to e, which gives e = y + 40.\n4. Substitute y = g + 3 to e, which gives e = g + 43.\n5. Substitute g = p + 17 to e, which gives e = p + 60.\n6. Substitute p = 4 to e, which gives e = 64.\n\nThus, the final answer is e = \\boxed{64}.",
"index": 6656,
"question": "Consider a system of variables where each variable is defined as follows: h = w + 13; r = o + 14; k = s + 19; y = g + 3; s = p + 12; e = h + 7; d = y + 7; w = d + 13; o = z + 16; z = k + 1; v = r + 20; p = 4; g = p + 17. If p = 4, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"p": "q + 15", "c": "p + 13", "n": "c + 20", "k": "n + 17", "o": "k + 11", "v": "o + 17", "r": "q + 12", "m": "r + 5", "l": "m + 15", "u": "l + 8", "w": "u + 9", "h": "w + 16", "q": 5}, "premises": {"q": 5}, "target": "v"}, "answer": {"steps": [["o", "k + 11", "k + 28"], ["k", "n + 17", "n + 45"], ["n", "c + 20", "c + 65"], ["c", "p + 13", "p + 78"], ["p", "q + 15", "q + 93"], ["q", 5, "98"]], "target_var_name": "v", "target_value": 98, "value_dict": {"q": 5}, "is_reverse": true}} | 6,657 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = m + 15; r = q + 12; c = p + 13; u = l + 8; v = o + 17; o = k + 11; k = n + 17; p = q + 15; w = u + 9; n = c + 20; m = r + 5; h = w + 16; q = 5. Given that q = 5, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = k + 11 to v, which gives v = k + 28.\n2. Substitute k = n + 17 to v, which gives v = n + 45.\n3. Substitute n = c + 20 to v, which gives v = c + 65.\n4. Substitute c = p + 13 to v, which gives v = p + 78.\n5. Substitute p = q + 15 to v, which gives v = q + 93.\n6. Substitute q = 5 to v, which gives v = 98.\n\nThus, the final answer is v = \\boxed{98}.",
"index": 6657,
"question": "Suppose a collection of variables is related by the following definitions: l = m + 15; r = q + 12; c = p + 13; u = l + 8; v = o + 17; o = k + 11; k = n + 17; p = q + 15; w = u + 9; n = c + 20; m = r + 5; h = w + 16; q = 5. Given that q = 5, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"s": "f + 2", "m": "s + 10", "g": "m + 5", "n": "g + 5", "l": "n + 18", "o": "l + 3", "y": "f + 2", "t": "y + 16", "c": "t + 9", "z": "c + 9", "p": "z + 3", "w": "p + 5", "f": 12}, "premises": {"f": 12}, "target": "o"}, "answer": {"steps": [["l", "n + 18", "n + 21"], ["n", "g + 5", "g + 26"], ["g", "m + 5", "m + 31"], ["m", "s + 10", "s + 41"], ["s", "f + 2", "f + 43"], ["f", 12, "55"]], "target_var_name": "o", "target_value": 55, "value_dict": {"f": 12}, "is_reverse": true}} | 6,658 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = 12; y = f + 2; s = f + 2; w = p + 5; n = g + 5; g = m + 5; m = s + 10; t = y + 16; c = t + 9; z = c + 9; p = z + 3; o = l + 3; l = n + 18. If f = 12, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = n + 18 to o, which gives o = n + 21.\n2. Substitute n = g + 5 to o, which gives o = g + 26.\n3. Substitute g = m + 5 to o, which gives o = m + 31.\n4. Substitute m = s + 10 to o, which gives o = s + 41.\n5. Substitute s = f + 2 to o, which gives o = f + 43.\n6. Substitute f = 12 to o, which gives o = 55.\n\nThus, the final answer is o = \\boxed{55}.",
"index": 6658,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = 12; y = f + 2; s = f + 2; w = p + 5; n = g + 5; g = m + 5; m = s + 10; t = y + 16; c = t + 9; z = c + 9; p = z + 3; o = l + 3; l = n + 18. If f = 12, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"j": "v + 12", "b": "j + 7", "t": "b + 10", "o": "t + 1", "m": "o + 2", "q": "m + 17", "e": "v + 2", "l": "e + 1", "c": "l + 3", "u": "c + 12", "a": "u + 7", "k": "a + 19", "v": 4}, "premises": {"v": 4}, "target": "q"}, "answer": {"steps": [["m", "o + 2", "o + 19"], ["o", "t + 1", "t + 20"], ["t", "b + 10", "b + 30"], ["b", "j + 7", "j + 37"], ["j", "v + 12", "v + 49"], ["v", 4, "53"]], "target_var_name": "q", "target_value": 53, "value_dict": {"v": 4}, "is_reverse": true}} | 6,659 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = m + 17; b = j + 7; e = v + 2; t = b + 10; c = l + 3; u = c + 12; j = v + 12; l = e + 1; o = t + 1; m = o + 2; a = u + 7; k = a + 19; v = 4. Given that v = 4, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = o + 2 to q, which gives q = o + 19.\n2. Substitute o = t + 1 to q, which gives q = t + 20.\n3. Substitute t = b + 10 to q, which gives q = b + 30.\n4. Substitute b = j + 7 to q, which gives q = j + 37.\n5. Substitute j = v + 12 to q, which gives q = v + 49.\n6. Substitute v = 4 to q, which gives q = 53.\n\nThus, the final answer is q = \\boxed{53}.",
"index": 6659,
"question": "Suppose a collection of variables is related by the following definitions: q = m + 17; b = j + 7; e = v + 2; t = b + 10; c = l + 3; u = c + 12; j = v + 12; l = e + 1; o = t + 1; m = o + 2; a = u + 7; k = a + 19; v = 4. Given that v = 4, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"i": "v + 1", "p": "i + 10", "w": "p + 8", "e": "w + 14", "j": "e + 20", "x": "j + 12", "z": "v + 9", "r": "z + 6", "n": "r + 8", "f": "n + 4", "a": "f + 2", "k": "a + 15", "v": 5}, "premises": {"v": 5}, "target": "x"}, "answer": {"steps": [["j", "e + 20", "e + 32"], ["e", "w + 14", "w + 46"], ["w", "p + 8", "p + 54"], ["p", "i + 10", "i + 64"], ["i", "v + 1", "v + 65"], ["v", 5, "70"]], "target_var_name": "x", "target_value": 70, "value_dict": {"v": 5}, "is_reverse": true}} | 6,660 | 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 + 2; v = 5; e = w + 14; i = v + 1; z = v + 9; j = e + 20; f = n + 4; p = i + 10; n = r + 8; x = j + 12; w = p + 8; r = z + 6; k = a + 15. If v = 5, 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 j = e + 20 to x, which gives x = e + 32.\n2. Substitute e = w + 14 to x, which gives x = w + 46.\n3. Substitute w = p + 8 to x, which gives x = p + 54.\n4. Substitute p = i + 10 to x, which gives x = i + 64.\n5. Substitute i = v + 1 to x, which gives x = v + 65.\n6. Substitute v = 5 to x, which gives x = 70.\n\nThus, the final answer is x = \\boxed{70}.",
"index": 6660,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = f + 2; v = 5; e = w + 14; i = v + 1; z = v + 9; j = e + 20; f = n + 4; p = i + 10; n = r + 8; x = j + 12; w = p + 8; r = z + 6; k = a + 15. If v = 5, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"a": "g + 5", "m": "a + 18", "j": "m + 19", "x": "j + 9", "u": "x + 11", "f": "u + 15", "v": "g + 10", "p": "v + 6", "t": "p + 1", "o": "t + 19", "s": "o + 11", "h": "s + 16", "g": 9}, "premises": {"g": 9}, "target": "f"}, "answer": {"steps": [["u", "x + 11", "x + 26"], ["x", "j + 9", "j + 35"], ["j", "m + 19", "m + 54"], ["m", "a + 18", "a + 72"], ["a", "g + 5", "g + 77"], ["g", 9, "86"]], "target_var_name": "f", "target_value": 86, "value_dict": {"g": 9}, "is_reverse": true}} | 6,661 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = v + 6; f = u + 15; h = s + 16; v = g + 10; x = j + 9; j = m + 19; t = p + 1; m = a + 18; u = x + 11; g = 9; o = t + 19; a = g + 5; s = o + 11. Given that g = 9, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = x + 11 to f, which gives f = x + 26.\n2. Substitute x = j + 9 to f, which gives f = j + 35.\n3. Substitute j = m + 19 to f, which gives f = m + 54.\n4. Substitute m = a + 18 to f, which gives f = a + 72.\n5. Substitute a = g + 5 to f, which gives f = g + 77.\n6. Substitute g = 9 to f, which gives f = 86.\n\nThus, the final answer is f = \\boxed{86}.",
"index": 6661,
"question": "Suppose a collection of variables is related by the following definitions: p = v + 6; f = u + 15; h = s + 16; v = g + 10; x = j + 9; j = m + 19; t = p + 1; m = a + 18; u = x + 11; g = 9; o = t + 19; a = g + 5; s = o + 11. Given that g = 9, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"m": "z + 10", "y": "m + 11", "p": "y + 10", "g": "p + 13", "a": "g + 12", "o": "a + 3", "f": "z + 13", "j": "f + 19", "q": "j + 11", "b": "q + 8", "e": "b + 3", "s": "e + 8", "z": 9}, "premises": {"z": 9}, "target": "o"}, "answer": {"steps": [["a", "g + 12", "g + 15"], ["g", "p + 13", "p + 28"], ["p", "y + 10", "y + 38"], ["y", "m + 11", "m + 49"], ["m", "z + 10", "z + 59"], ["z", 9, "68"]], "target_var_name": "o", "target_value": 68, "value_dict": {"z": 9}, "is_reverse": true}} | 6,662 | 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 = z + 10; s = e + 8; g = p + 13; e = b + 3; b = q + 8; o = a + 3; p = y + 10; a = g + 12; j = f + 19; z = 9; f = z + 13; q = j + 11; y = m + 11. If z = 9, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = g + 12 to o, which gives o = g + 15.\n2. Substitute g = p + 13 to o, which gives o = p + 28.\n3. Substitute p = y + 10 to o, which gives o = y + 38.\n4. Substitute y = m + 11 to o, which gives o = m + 49.\n5. Substitute m = z + 10 to o, which gives o = z + 59.\n6. Substitute z = 9 to o, which gives o = 68.\n\nThus, the final answer is o = \\boxed{68}.",
"index": 6662,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = z + 10; s = e + 8; g = p + 13; e = b + 3; b = q + 8; o = a + 3; p = y + 10; a = g + 12; j = f + 19; z = 9; f = z + 13; q = j + 11; y = m + 11. If z = 9, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"z": "j + 3", "y": "z + 1", "v": "y + 19", "a": "v + 17", "d": "a + 9", "x": "d + 18", "m": "j + 12", "q": "m + 5", "t": "q + 4", "r": "t + 20", "u": "r + 11", "o": "u + 8", "j": 19}, "premises": {"j": 19}, "target": "x"}, "answer": {"steps": [["d", "a + 9", "a + 27"], ["a", "v + 17", "v + 44"], ["v", "y + 19", "y + 63"], ["y", "z + 1", "z + 64"], ["z", "j + 3", "j + 67"], ["j", 19, "86"]], "target_var_name": "x", "target_value": 86, "value_dict": {"j": 19}, "is_reverse": true}} | 6,663 | 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 = t + 20; o = u + 8; z = j + 3; u = r + 11; m = j + 12; x = d + 18; j = 19; t = q + 4; v = y + 19; y = z + 1; q = m + 5; d = a + 9; a = v + 17. If j = 19, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = a + 9 to x, which gives x = a + 27.\n2. Substitute a = v + 17 to x, which gives x = v + 44.\n3. Substitute v = y + 19 to x, which gives x = y + 63.\n4. Substitute y = z + 1 to x, which gives x = z + 64.\n5. Substitute z = j + 3 to x, which gives x = j + 67.\n6. Substitute j = 19 to x, which gives x = 86.\n\nThus, the final answer is x = \\boxed{86}.",
"index": 6663,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = t + 20; o = u + 8; z = j + 3; u = r + 11; m = j + 12; x = d + 18; j = 19; t = q + 4; v = y + 19; y = z + 1; q = m + 5; d = a + 9; a = v + 17. If j = 19, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"r": "f + 12", "g": "r + 12", "d": "g + 4", "k": "d + 17", "i": "k + 18", "j": "i + 13", "s": "f + 8", "a": "s + 13", "c": "a + 20", "w": "c + 10", "x": "w + 5", "h": "x + 8", "f": 11}, "premises": {"f": 11}, "target": "j"}, "answer": {"steps": [["i", "k + 18", "k + 31"], ["k", "d + 17", "d + 48"], ["d", "g + 4", "g + 52"], ["g", "r + 12", "r + 64"], ["r", "f + 12", "f + 76"], ["f", 11, "87"]], "target_var_name": "j", "target_value": 87, "value_dict": {"f": 11}, "is_reverse": true}} | 6,664 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = r + 12; d = g + 4; i = k + 18; s = f + 8; f = 11; k = d + 17; x = w + 5; h = x + 8; r = f + 12; a = s + 13; c = a + 20; j = i + 13; w = c + 10. If f = 11, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = k + 18 to j, which gives j = k + 31.\n2. Substitute k = d + 17 to j, which gives j = d + 48.\n3. Substitute d = g + 4 to j, which gives j = g + 52.\n4. Substitute g = r + 12 to j, which gives j = r + 64.\n5. Substitute r = f + 12 to j, which gives j = f + 76.\n6. Substitute f = 11 to j, which gives j = 87.\n\nThus, the final answer is j = \\boxed{87}.",
"index": 6664,
"question": "Consider a system of variables where each variable is defined as follows: g = r + 12; d = g + 4; i = k + 18; s = f + 8; f = 11; k = d + 17; x = w + 5; h = x + 8; r = f + 12; a = s + 13; c = a + 20; j = i + 13; w = c + 10. If f = 11, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"r": "q + 4", "a": "r + 7", "h": "a + 10", "p": "h + 6", "v": "p + 9", "w": "v + 19", "k": "q + 4", "n": "k + 11", "m": "n + 5", "x": "m + 16", "b": "x + 19", "j": "b + 12", "q": 7}, "premises": {"q": 7}, "target": "w"}, "answer": {"steps": [["v", "p + 9", "p + 28"], ["p", "h + 6", "h + 34"], ["h", "a + 10", "a + 44"], ["a", "r + 7", "r + 51"], ["r", "q + 4", "q + 55"], ["q", 7, "62"]], "target_var_name": "w", "target_value": 62, "value_dict": {"q": 7}, "is_reverse": true}} | 6,665 | 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 = b + 12; a = r + 7; h = a + 10; v = p + 9; m = n + 5; k = q + 4; w = v + 19; p = h + 6; q = 7; b = x + 19; n = k + 11; r = q + 4; x = m + 16. If q = 7, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = p + 9 to w, which gives w = p + 28.\n2. Substitute p = h + 6 to w, which gives w = h + 34.\n3. Substitute h = a + 10 to w, which gives w = a + 44.\n4. Substitute a = r + 7 to w, which gives w = r + 51.\n5. Substitute r = q + 4 to w, which gives w = q + 55.\n6. Substitute q = 7 to w, which gives w = 62.\n\nThus, the final answer is w = \\boxed{62}.",
"index": 6665,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = b + 12; a = r + 7; h = a + 10; v = p + 9; m = n + 5; k = q + 4; w = v + 19; p = h + 6; q = 7; b = x + 19; n = k + 11; r = q + 4; x = m + 16. If q = 7, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"q": "v + 10", "y": "q + 3", "n": "y + 10", "u": "n + 2", "c": "u + 14", "x": "c + 9", "l": "v + 19", "t": "l + 19", "z": "t + 19", "f": "z + 12", "d": "f + 8", "r": "d + 5", "v": 20}, "premises": {"v": 20}, "target": "x"}, "answer": {"steps": [["c", "u + 14", "u + 23"], ["u", "n + 2", "n + 25"], ["n", "y + 10", "y + 35"], ["y", "q + 3", "q + 38"], ["q", "v + 10", "v + 48"], ["v", 20, "68"]], "target_var_name": "x", "target_value": 68, "value_dict": {"v": 20}, "is_reverse": true}} | 6,666 | 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 = t + 19; u = n + 2; l = v + 19; c = u + 14; f = z + 12; t = l + 19; r = d + 5; d = f + 8; v = 20; q = v + 10; y = q + 3; x = c + 9; n = y + 10. If v = 20, 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 c = u + 14 to x, which gives x = u + 23.\n2. Substitute u = n + 2 to x, which gives x = n + 25.\n3. Substitute n = y + 10 to x, which gives x = y + 35.\n4. Substitute y = q + 3 to x, which gives x = q + 38.\n5. Substitute q = v + 10 to x, which gives x = v + 48.\n6. Substitute v = 20 to x, which gives x = 68.\n\nThus, the final answer is x = \\boxed{68}.",
"index": 6666,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = t + 19; u = n + 2; l = v + 19; c = u + 14; f = z + 12; t = l + 19; r = d + 5; d = f + 8; v = 20; q = v + 10; y = q + 3; x = c + 9; n = y + 10. If v = 20, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"w": "f + 18", "y": "w + 9", "q": "y + 2", "m": "q + 18", "l": "m + 18", "n": "l + 10", "u": "f + 19", "r": "u + 7", "i": "r + 15", "s": "i + 16", "p": "s + 18", "g": "p + 2", "f": 4}, "premises": {"f": 4}, "target": "n"}, "answer": {"steps": [["l", "m + 18", "m + 28"], ["m", "q + 18", "q + 46"], ["q", "y + 2", "y + 48"], ["y", "w + 9", "w + 57"], ["w", "f + 18", "f + 75"], ["f", 4, "79"]], "target_var_name": "n", "target_value": 79, "value_dict": {"f": 4}, "is_reverse": true}} | 6,667 | 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 = p + 2; u = f + 19; l = m + 18; r = u + 7; q = y + 2; y = w + 9; n = l + 10; s = i + 16; i = r + 15; m = q + 18; f = 4; w = f + 18; p = s + 18. If f = 4, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = m + 18 to n, which gives n = m + 28.\n2. Substitute m = q + 18 to n, which gives n = q + 46.\n3. Substitute q = y + 2 to n, which gives n = y + 48.\n4. Substitute y = w + 9 to n, which gives n = w + 57.\n5. Substitute w = f + 18 to n, which gives n = f + 75.\n6. Substitute f = 4 to n, which gives n = 79.\n\nThus, the final answer is n = \\boxed{79}.",
"index": 6667,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = p + 2; u = f + 19; l = m + 18; r = u + 7; q = y + 2; y = w + 9; n = l + 10; s = i + 16; i = r + 15; m = q + 18; f = 4; w = f + 18; p = s + 18. If f = 4, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"r": "u + 9", "i": "r + 20", "l": "i + 6", "j": "l + 20", "v": "j + 16", "f": "v + 16", "q": "u + 17", "z": "q + 8", "h": "z + 15", "c": "h + 18", "t": "c + 14", "m": "t + 19", "u": 11}, "premises": {"u": 11}, "target": "f"}, "answer": {"steps": [["v", "j + 16", "j + 32"], ["j", "l + 20", "l + 52"], ["l", "i + 6", "i + 58"], ["i", "r + 20", "r + 78"], ["r", "u + 9", "u + 87"], ["u", 11, "98"]], "target_var_name": "f", "target_value": 98, "value_dict": {"u": 11}, "is_reverse": true}} | 6,668 | 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 = l + 20; c = h + 18; q = u + 17; m = t + 19; f = v + 16; i = r + 20; v = j + 16; z = q + 8; l = i + 6; u = 11; h = z + 15; t = c + 14; r = u + 9. If u = 11, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = j + 16 to f, which gives f = j + 32.\n2. Substitute j = l + 20 to f, which gives f = l + 52.\n3. Substitute l = i + 6 to f, which gives f = i + 58.\n4. Substitute i = r + 20 to f, which gives f = r + 78.\n5. Substitute r = u + 9 to f, which gives f = u + 87.\n6. Substitute u = 11 to f, which gives f = 98.\n\nThus, the final answer is f = \\boxed{98}.",
"index": 6668,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = l + 20; c = h + 18; q = u + 17; m = t + 19; f = v + 16; i = r + 20; v = j + 16; z = q + 8; l = i + 6; u = 11; h = z + 15; t = c + 14; r = u + 9. If u = 11, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"s": "r + 19", "b": "s + 12", "j": "b + 13", "y": "j + 16", "h": "y + 4", "g": "h + 17", "f": "r + 4", "q": "f + 6", "l": "q + 17", "x": "l + 19", "t": "x + 4", "i": "t + 10", "r": 13}, "premises": {"r": 13}, "target": "g"}, "answer": {"steps": [["h", "y + 4", "y + 21"], ["y", "j + 16", "j + 37"], ["j", "b + 13", "b + 50"], ["b", "s + 12", "s + 62"], ["s", "r + 19", "r + 81"], ["r", 13, "94"]], "target_var_name": "g", "target_value": 94, "value_dict": {"r": 13}, "is_reverse": true}} | 6,669 | 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 = l + 19; t = x + 4; f = r + 4; y = j + 16; l = q + 17; j = b + 13; b = s + 12; r = 13; h = y + 4; i = t + 10; g = h + 17; q = f + 6; s = r + 19. If r = 13, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = y + 4 to g, which gives g = y + 21.\n2. Substitute y = j + 16 to g, which gives g = j + 37.\n3. Substitute j = b + 13 to g, which gives g = b + 50.\n4. Substitute b = s + 12 to g, which gives g = s + 62.\n5. Substitute s = r + 19 to g, which gives g = r + 81.\n6. Substitute r = 13 to g, which gives g = 94.\n\nThus, the final answer is g = \\boxed{94}.",
"index": 6669,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = l + 19; t = x + 4; f = r + 4; y = j + 16; l = q + 17; j = b + 13; b = s + 12; r = 13; h = y + 4; i = t + 10; g = h + 17; q = f + 6; s = r + 19. If r = 13, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"p": "i + 14", "l": "p + 10", "j": "l + 20", "o": "j + 16", "x": "o + 16", "z": "x + 14", "s": "i + 1", "a": "s + 14", "n": "a + 10", "t": "n + 13", "b": "t + 20", "d": "b + 1", "i": 10}, "premises": {"i": 10}, "target": "z"}, "answer": {"steps": [["x", "o + 16", "o + 30"], ["o", "j + 16", "j + 46"], ["j", "l + 20", "l + 66"], ["l", "p + 10", "p + 76"], ["p", "i + 14", "i + 90"], ["i", 10, "100"]], "target_var_name": "z", "target_value": 100, "value_dict": {"i": 10}, "is_reverse": true}} | 6,670 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = o + 16; b = t + 20; l = p + 10; j = l + 20; i = 10; t = n + 13; o = j + 16; n = a + 10; d = b + 1; p = i + 14; s = i + 1; z = x + 14; a = s + 14. If i = 10, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = o + 16 to z, which gives z = o + 30.\n2. Substitute o = j + 16 to z, which gives z = j + 46.\n3. Substitute j = l + 20 to z, which gives z = l + 66.\n4. Substitute l = p + 10 to z, which gives z = p + 76.\n5. Substitute p = i + 14 to z, which gives z = i + 90.\n6. Substitute i = 10 to z, which gives z = 100.\n\nThus, the final answer is z = \\boxed{100}.",
"index": 6670,
"question": "Consider a system of variables where each variable is defined as follows: x = o + 16; b = t + 20; l = p + 10; j = l + 20; i = 10; t = n + 13; o = j + 16; n = a + 10; d = b + 1; p = i + 14; s = i + 1; z = x + 14; a = s + 14. If i = 10, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"i": "u + 16", "z": "i + 13", "a": "z + 13", "f": "a + 13", "h": "f + 12", "v": "h + 18", "r": "u + 4", "l": "r + 13", "b": "l + 11", "y": "b + 6", "x": "y + 10", "w": "x + 9", "u": 8}, "premises": {"u": 8}, "target": "v"}, "answer": {"steps": [["h", "f + 12", "f + 30"], ["f", "a + 13", "a + 43"], ["a", "z + 13", "z + 56"], ["z", "i + 13", "i + 69"], ["i", "u + 16", "u + 85"], ["u", 8, "93"]], "target_var_name": "v", "target_value": 93, "value_dict": {"u": 8}, "is_reverse": true}} | 6,671 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = b + 6; a = z + 13; r = u + 4; z = i + 13; b = l + 11; h = f + 12; l = r + 13; v = h + 18; x = y + 10; i = u + 16; u = 8; w = x + 9; f = a + 13. Given that u = 8, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = f + 12 to v, which gives v = f + 30.\n2. Substitute f = a + 13 to v, which gives v = a + 43.\n3. Substitute a = z + 13 to v, which gives v = z + 56.\n4. Substitute z = i + 13 to v, which gives v = i + 69.\n5. Substitute i = u + 16 to v, which gives v = u + 85.\n6. Substitute u = 8 to v, which gives v = 93.\n\nThus, the final answer is v = \\boxed{93}.",
"index": 6671,
"question": "Suppose a collection of variables is related by the following definitions: y = b + 6; a = z + 13; r = u + 4; z = i + 13; b = l + 11; h = f + 12; l = r + 13; v = h + 18; x = y + 10; i = u + 16; u = 8; w = x + 9; f = a + 13. Given that u = 8, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"i": "e + 16", "o": "i + 17", "c": "o + 16", "z": "c + 9", "n": "z + 6", "g": "n + 9", "t": "e + 10", "u": "t + 14", "p": "u + 15", "a": "p + 9", "q": "a + 12", "m": "q + 12", "e": 16}, "premises": {"e": 16}, "target": "g"}, "answer": {"steps": [["n", "z + 6", "z + 15"], ["z", "c + 9", "c + 24"], ["c", "o + 16", "o + 40"], ["o", "i + 17", "i + 57"], ["i", "e + 16", "e + 73"], ["e", 16, "89"]], "target_var_name": "g", "target_value": 89, "value_dict": {"e": 16}, "is_reverse": true}} | 6,672 | 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 = c + 9; t = e + 10; q = a + 12; c = o + 16; i = e + 16; a = p + 9; n = z + 6; p = u + 15; m = q + 12; u = t + 14; e = 16; o = i + 17; g = n + 9. If e = 16, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = z + 6 to g, which gives g = z + 15.\n2. Substitute z = c + 9 to g, which gives g = c + 24.\n3. Substitute c = o + 16 to g, which gives g = o + 40.\n4. Substitute o = i + 17 to g, which gives g = i + 57.\n5. Substitute i = e + 16 to g, which gives g = e + 73.\n6. Substitute e = 16 to g, which gives g = 89.\n\nThus, the final answer is g = \\boxed{89}.",
"index": 6672,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = c + 9; t = e + 10; q = a + 12; c = o + 16; i = e + 16; a = p + 9; n = z + 6; p = u + 15; m = q + 12; u = t + 14; e = 16; o = i + 17; g = n + 9. If e = 16, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"c": "d + 15", "i": "c + 12", "m": "i + 3", "w": "m + 15", "s": "w + 6", "t": "s + 8", "r": "d + 2", "l": "r + 10", "g": "l + 18", "f": "g + 17", "e": "f + 16", "p": "e + 11", "d": 17}, "premises": {"d": 17}, "target": "t"}, "answer": {"steps": [["s", "w + 6", "w + 14"], ["w", "m + 15", "m + 29"], ["m", "i + 3", "i + 32"], ["i", "c + 12", "c + 44"], ["c", "d + 15", "d + 59"], ["d", 17, "76"]], "target_var_name": "t", "target_value": 76, "value_dict": {"d": 17}, "is_reverse": true}} | 6,673 | 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 = w + 6; r = d + 2; p = e + 11; c = d + 15; f = g + 17; l = r + 10; i = c + 12; w = m + 15; t = s + 8; d = 17; g = l + 18; m = i + 3; e = f + 16. If d = 17, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = w + 6 to t, which gives t = w + 14.\n2. Substitute w = m + 15 to t, which gives t = m + 29.\n3. Substitute m = i + 3 to t, which gives t = i + 32.\n4. Substitute i = c + 12 to t, which gives t = c + 44.\n5. Substitute c = d + 15 to t, which gives t = d + 59.\n6. Substitute d = 17 to t, which gives t = 76.\n\nThus, the final answer is t = \\boxed{76}.",
"index": 6673,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = w + 6; r = d + 2; p = e + 11; c = d + 15; f = g + 17; l = r + 10; i = c + 12; w = m + 15; t = s + 8; d = 17; g = l + 18; m = i + 3; e = f + 16. If d = 17, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"x": "o + 9", "z": "x + 1", "j": "z + 14", "k": "j + 18", "n": "k + 3", "h": "n + 13", "v": "o + 13", "w": "v + 2", "p": "w + 3", "t": "p + 5", "m": "t + 19", "i": "m + 13", "o": 10}, "premises": {"o": 10}, "target": "h"}, "answer": {"steps": [["n", "k + 3", "k + 16"], ["k", "j + 18", "j + 34"], ["j", "z + 14", "z + 48"], ["z", "x + 1", "x + 49"], ["x", "o + 9", "o + 58"], ["o", 10, "68"]], "target_var_name": "h", "target_value": 68, "value_dict": {"o": 10}, "is_reverse": true}} | 6,674 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = w + 3; i = m + 13; w = v + 2; j = z + 14; o = 10; x = o + 9; z = x + 1; t = p + 5; v = o + 13; k = j + 18; n = k + 3; h = n + 13; m = t + 19. If o = 10, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = k + 3 to h, which gives h = k + 16.\n2. Substitute k = j + 18 to h, which gives h = j + 34.\n3. Substitute j = z + 14 to h, which gives h = z + 48.\n4. Substitute z = x + 1 to h, which gives h = x + 49.\n5. Substitute x = o + 9 to h, which gives h = o + 58.\n6. Substitute o = 10 to h, which gives h = 68.\n\nThus, the final answer is h = \\boxed{68}.",
"index": 6674,
"question": "Consider a system of variables where each variable is defined as follows: p = w + 3; i = m + 13; w = v + 2; j = z + 14; o = 10; x = o + 9; z = x + 1; t = p + 5; v = o + 13; k = j + 18; n = k + 3; h = n + 13; m = t + 19. If o = 10, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"u": "p + 9", "i": "u + 18", "e": "i + 4", "d": "e + 1", "c": "d + 3", "k": "c + 7", "n": "p + 17", "l": "n + 7", "a": "l + 15", "o": "a + 18", "g": "o + 8", "b": "g + 2", "p": 2}, "premises": {"p": 2}, "target": "k"}, "answer": {"steps": [["c", "d + 3", "d + 10"], ["d", "e + 1", "e + 11"], ["e", "i + 4", "i + 15"], ["i", "u + 18", "u + 33"], ["u", "p + 9", "p + 42"], ["p", 2, "44"]], "target_var_name": "k", "target_value": 44, "value_dict": {"p": 2}, "is_reverse": true}} | 6,675 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = a + 18; p = 2; b = g + 2; e = i + 4; i = u + 18; a = l + 15; k = c + 7; n = p + 17; c = d + 3; g = o + 8; l = n + 7; u = p + 9; d = e + 1. If p = 2, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 44,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = d + 3 to k, which gives k = d + 10.\n2. Substitute d = e + 1 to k, which gives k = e + 11.\n3. Substitute e = i + 4 to k, which gives k = i + 15.\n4. Substitute i = u + 18 to k, which gives k = u + 33.\n5. Substitute u = p + 9 to k, which gives k = p + 42.\n6. Substitute p = 2 to k, which gives k = 44.\n\nThus, the final answer is k = \\boxed{44}.",
"index": 6675,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = a + 18; p = 2; b = g + 2; e = i + 4; i = u + 18; a = l + 15; k = c + 7; n = p + 17; c = d + 3; g = o + 8; l = n + 7; u = p + 9; d = e + 1. If p = 2, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"g": "m + 5", "z": "g + 10", "l": "z + 1", "w": "l + 4", "o": "w + 5", "r": "o + 4", "k": "m + 12", "t": "k + 7", "v": "t + 11", "b": "v + 9", "s": "b + 3", "x": "s + 17", "m": 10}, "premises": {"m": 10}, "target": "r"}, "answer": {"steps": [["o", "w + 5", "w + 9"], ["w", "l + 4", "l + 13"], ["l", "z + 1", "z + 14"], ["z", "g + 10", "g + 24"], ["g", "m + 5", "m + 29"], ["m", 10, "39"]], "target_var_name": "r", "target_value": 39, "value_dict": {"m": 10}, "is_reverse": true}} | 6,676 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = g + 10; g = m + 5; v = t + 11; b = v + 9; k = m + 12; s = b + 3; w = l + 4; r = o + 4; x = s + 17; l = z + 1; m = 10; t = k + 7; o = w + 5. If m = 10, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 39,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = w + 5 to r, which gives r = w + 9.\n2. Substitute w = l + 4 to r, which gives r = l + 13.\n3. Substitute l = z + 1 to r, which gives r = z + 14.\n4. Substitute z = g + 10 to r, which gives r = g + 24.\n5. Substitute g = m + 5 to r, which gives r = m + 29.\n6. Substitute m = 10 to r, which gives r = 39.\n\nThus, the final answer is r = \\boxed{39}.",
"index": 6676,
"question": "Consider a system of variables where each variable is defined as follows: z = g + 10; g = m + 5; v = t + 11; b = v + 9; k = m + 12; s = b + 3; w = l + 4; r = o + 4; x = s + 17; l = z + 1; m = 10; t = k + 7; o = w + 5. If m = 10, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"k": "x + 3", "e": "k + 20", "r": "e + 16", "c": "r + 9", "n": "c + 17", "y": "n + 1", "i": "x + 16", "g": "i + 2", "o": "g + 4", "z": "o + 3", "d": "z + 17", "l": "d + 3", "x": 1}, "premises": {"x": 1}, "target": "y"}, "answer": {"steps": [["n", "c + 17", "c + 18"], ["c", "r + 9", "r + 27"], ["r", "e + 16", "e + 43"], ["e", "k + 20", "k + 63"], ["k", "x + 3", "x + 66"], ["x", 1, "67"]], "target_var_name": "y", "target_value": 67, "value_dict": {"x": 1}, "is_reverse": true}} | 6,677 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = g + 4; l = d + 3; i = x + 16; g = i + 2; k = x + 3; r = e + 16; e = k + 20; z = o + 3; d = z + 17; y = n + 1; x = 1; c = r + 9; n = c + 17. Given that x = 1, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = c + 17 to y, which gives y = c + 18.\n2. Substitute c = r + 9 to y, which gives y = r + 27.\n3. Substitute r = e + 16 to y, which gives y = e + 43.\n4. Substitute e = k + 20 to y, which gives y = k + 63.\n5. Substitute k = x + 3 to y, which gives y = x + 66.\n6. Substitute x = 1 to y, which gives y = 67.\n\nThus, the final answer is y = \\boxed{67}.",
"index": 6677,
"question": "Suppose a collection of variables is related by the following definitions: o = g + 4; l = d + 3; i = x + 16; g = i + 2; k = x + 3; r = e + 16; e = k + 20; z = o + 3; d = z + 17; y = n + 1; x = 1; c = r + 9; n = c + 17. Given that x = 1, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"b": "h + 20", "d": "b + 3", "o": "d + 7", "t": "o + 12", "r": "t + 9", "c": "r + 6", "v": "h + 6", "a": "v + 6", "f": "a + 5", "n": "f + 12", "y": "n + 13", "i": "y + 20", "h": 13}, "premises": {"h": 13}, "target": "c"}, "answer": {"steps": [["r", "t + 9", "t + 15"], ["t", "o + 12", "o + 27"], ["o", "d + 7", "d + 34"], ["d", "b + 3", "b + 37"], ["b", "h + 20", "h + 57"], ["h", 13, "70"]], "target_var_name": "c", "target_value": 70, "value_dict": {"h": 13}, "is_reverse": true}} | 6,678 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = n + 13; a = v + 6; r = t + 9; d = b + 3; n = f + 12; t = o + 12; b = h + 20; i = y + 20; c = r + 6; o = d + 7; v = h + 6; h = 13; f = a + 5. Given that h = 13, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = t + 9 to c, which gives c = t + 15.\n2. Substitute t = o + 12 to c, which gives c = o + 27.\n3. Substitute o = d + 7 to c, which gives c = d + 34.\n4. Substitute d = b + 3 to c, which gives c = b + 37.\n5. Substitute b = h + 20 to c, which gives c = h + 57.\n6. Substitute h = 13 to c, which gives c = 70.\n\nThus, the final answer is c = \\boxed{70}.",
"index": 6678,
"question": "Suppose a collection of variables is related by the following definitions: y = n + 13; a = v + 6; r = t + 9; d = b + 3; n = f + 12; t = o + 12; b = h + 20; i = y + 20; c = r + 6; o = d + 7; v = h + 6; h = 13; f = a + 5. Given that h = 13, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"n": "k + 6", "x": "n + 16", "g": "x + 7", "c": "g + 14", "t": "c + 6", "o": "t + 2", "q": "k + 9", "z": "q + 17", "h": "z + 5", "e": "h + 7", "s": "e + 18", "b": "s + 2", "k": 8}, "premises": {"k": 8}, "target": "o"}, "answer": {"steps": [["t", "c + 6", "c + 8"], ["c", "g + 14", "g + 22"], ["g", "x + 7", "x + 29"], ["x", "n + 16", "n + 45"], ["n", "k + 6", "k + 51"], ["k", 8, "59"]], "target_var_name": "o", "target_value": 59, "value_dict": {"k": 8}, "is_reverse": true}} | 6,679 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = k + 9; e = h + 7; s = e + 18; z = q + 17; h = z + 5; n = k + 6; x = n + 16; g = x + 7; o = t + 2; b = s + 2; c = g + 14; k = 8; t = c + 6. If k = 8, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = c + 6 to o, which gives o = c + 8.\n2. Substitute c = g + 14 to o, which gives o = g + 22.\n3. Substitute g = x + 7 to o, which gives o = x + 29.\n4. Substitute x = n + 16 to o, which gives o = n + 45.\n5. Substitute n = k + 6 to o, which gives o = k + 51.\n6. Substitute k = 8 to o, which gives o = 59.\n\nThus, the final answer is o = \\boxed{59}.",
"index": 6679,
"question": "Consider a system of variables where each variable is defined as follows: q = k + 9; e = h + 7; s = e + 18; z = q + 17; h = z + 5; n = k + 6; x = n + 16; g = x + 7; o = t + 2; b = s + 2; c = g + 14; k = 8; t = c + 6. If k = 8, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"w": "s + 16", "v": "w + 10", "f": "v + 14", "n": "f + 17", "k": "n + 12", "g": "k + 3", "i": "s + 12", "y": "i + 14", "l": "y + 13", "h": "l + 20", "e": "h + 17", "j": "e + 5", "s": 8}, "premises": {"s": 8}, "target": "g"}, "answer": {"steps": [["k", "n + 12", "n + 15"], ["n", "f + 17", "f + 32"], ["f", "v + 14", "v + 46"], ["v", "w + 10", "w + 56"], ["w", "s + 16", "s + 72"], ["s", 8, "80"]], "target_var_name": "g", "target_value": 80, "value_dict": {"s": 8}, "is_reverse": true}} | 6,680 | 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 = 8; k = n + 12; h = l + 20; n = f + 17; e = h + 17; y = i + 14; l = y + 13; g = k + 3; v = w + 10; w = s + 16; j = e + 5; f = v + 14; i = s + 12. If s = 8, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = n + 12 to g, which gives g = n + 15.\n2. Substitute n = f + 17 to g, which gives g = f + 32.\n3. Substitute f = v + 14 to g, which gives g = v + 46.\n4. Substitute v = w + 10 to g, which gives g = w + 56.\n5. Substitute w = s + 16 to g, which gives g = s + 72.\n6. Substitute s = 8 to g, which gives g = 80.\n\nThus, the final answer is g = \\boxed{80}.",
"index": 6680,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = 8; k = n + 12; h = l + 20; n = f + 17; e = h + 17; y = i + 14; l = y + 13; g = k + 3; v = w + 10; w = s + 16; j = e + 5; f = v + 14; i = s + 12. If s = 8, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"m": "a + 15", "t": "m + 12", "h": "t + 14", "l": "h + 7", "o": "l + 6", "w": "o + 9", "g": "a + 2", "k": "g + 2", "x": "k + 2", "n": "x + 19", "b": "n + 13", "v": "b + 3", "a": 5}, "premises": {"a": 5}, "target": "w"}, "answer": {"steps": [["o", "l + 6", "l + 15"], ["l", "h + 7", "h + 22"], ["h", "t + 14", "t + 36"], ["t", "m + 12", "m + 48"], ["m", "a + 15", "a + 63"], ["a", 5, "68"]], "target_var_name": "w", "target_value": 68, "value_dict": {"a": 5}, "is_reverse": true}} | 6,681 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = g + 2; t = m + 12; m = a + 15; h = t + 14; v = b + 3; o = l + 6; x = k + 2; n = x + 19; b = n + 13; g = a + 2; w = o + 9; l = h + 7; a = 5. If a = 5, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = l + 6 to w, which gives w = l + 15.\n2. Substitute l = h + 7 to w, which gives w = h + 22.\n3. Substitute h = t + 14 to w, which gives w = t + 36.\n4. Substitute t = m + 12 to w, which gives w = m + 48.\n5. Substitute m = a + 15 to w, which gives w = a + 63.\n6. Substitute a = 5 to w, which gives w = 68.\n\nThus, the final answer is w = \\boxed{68}.",
"index": 6681,
"question": "Consider a system of variables where each variable is defined as follows: k = g + 2; t = m + 12; m = a + 15; h = t + 14; v = b + 3; o = l + 6; x = k + 2; n = x + 19; b = n + 13; g = a + 2; w = o + 9; l = h + 7; a = 5. If a = 5, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"k": "g + 17", "a": "k + 5", "j": "a + 7", "c": "j + 14", "z": "c + 4", "y": "z + 20", "b": "g + 10", "s": "b + 12", "q": "s + 9", "m": "q + 13", "f": "m + 11", "p": "f + 9", "g": 4}, "premises": {"g": 4}, "target": "y"}, "answer": {"steps": [["z", "c + 4", "c + 24"], ["c", "j + 14", "j + 38"], ["j", "a + 7", "a + 45"], ["a", "k + 5", "k + 50"], ["k", "g + 17", "g + 67"], ["g", 4, "71"]], "target_var_name": "y", "target_value": 71, "value_dict": {"g": 4}, "is_reverse": true}} | 6,682 | 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 = 4; y = z + 20; s = b + 12; f = m + 11; z = c + 4; c = j + 14; a = k + 5; m = q + 13; q = s + 9; p = f + 9; k = g + 17; b = g + 10; j = a + 7. If g = 4, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = c + 4 to y, which gives y = c + 24.\n2. Substitute c = j + 14 to y, which gives y = j + 38.\n3. Substitute j = a + 7 to y, which gives y = a + 45.\n4. Substitute a = k + 5 to y, which gives y = k + 50.\n5. Substitute k = g + 17 to y, which gives y = g + 67.\n6. Substitute g = 4 to y, which gives y = 71.\n\nThus, the final answer is y = \\boxed{71}.",
"index": 6682,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = 4; y = z + 20; s = b + 12; f = m + 11; z = c + 4; c = j + 14; a = k + 5; m = q + 13; q = s + 9; p = f + 9; k = g + 17; b = g + 10; j = a + 7. If g = 4, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"v": "w + 14", "u": "v + 17", "m": "u + 15", "p": "m + 20", "o": "p + 4", "e": "o + 11", "x": "w + 10", "l": "x + 15", "z": "l + 13", "s": "z + 15", "n": "s + 18", "y": "n + 4", "w": 12}, "premises": {"w": 12}, "target": "e"}, "answer": {"steps": [["o", "p + 4", "p + 15"], ["p", "m + 20", "m + 35"], ["m", "u + 15", "u + 50"], ["u", "v + 17", "v + 67"], ["v", "w + 14", "w + 81"], ["w", 12, "93"]], "target_var_name": "e", "target_value": 93, "value_dict": {"w": 12}, "is_reverse": true}} | 6,683 | 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 + 4; e = o + 11; l = x + 15; x = w + 10; w = 12; p = m + 20; s = z + 15; o = p + 4; z = l + 13; v = w + 14; n = s + 18; m = u + 15; u = v + 17. If w = 12, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = p + 4 to e, which gives e = p + 15.\n2. Substitute p = m + 20 to e, which gives e = m + 35.\n3. Substitute m = u + 15 to e, which gives e = u + 50.\n4. Substitute u = v + 17 to e, which gives e = v + 67.\n5. Substitute v = w + 14 to e, which gives e = w + 81.\n6. Substitute w = 12 to e, which gives e = 93.\n\nThus, the final answer is e = \\boxed{93}.",
"index": 6683,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = n + 4; e = o + 11; l = x + 15; x = w + 10; w = 12; p = m + 20; s = z + 15; o = p + 4; z = l + 13; v = w + 14; n = s + 18; m = u + 15; u = v + 17. If w = 12, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"v": "h + 10", "t": "v + 16", "l": "t + 1", "s": "l + 20", "k": "s + 4", "x": "k + 3", "b": "h + 20", "w": "b + 9", "j": "w + 9", "y": "j + 1", "u": "y + 8", "g": "u + 14", "h": 10}, "premises": {"h": 10}, "target": "x"}, "answer": {"steps": [["k", "s + 4", "s + 7"], ["s", "l + 20", "l + 27"], ["l", "t + 1", "t + 28"], ["t", "v + 16", "v + 44"], ["v", "h + 10", "h + 54"], ["h", 10, "64"]], "target_var_name": "x", "target_value": 64, "value_dict": {"h": 10}, "is_reverse": true}} | 6,684 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = t + 1; k = s + 4; b = h + 20; x = k + 3; v = h + 10; t = v + 16; g = u + 14; y = j + 1; w = b + 9; h = 10; j = w + 9; s = l + 20; u = y + 8. If h = 10, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = s + 4 to x, which gives x = s + 7.\n2. Substitute s = l + 20 to x, which gives x = l + 27.\n3. Substitute l = t + 1 to x, which gives x = t + 28.\n4. Substitute t = v + 16 to x, which gives x = v + 44.\n5. Substitute v = h + 10 to x, which gives x = h + 54.\n6. Substitute h = 10 to x, which gives x = 64.\n\nThus, the final answer is x = \\boxed{64}.",
"index": 6684,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = t + 1; k = s + 4; b = h + 20; x = k + 3; v = h + 10; t = v + 16; g = u + 14; y = j + 1; w = b + 9; h = 10; j = w + 9; s = l + 20; u = y + 8. If h = 10, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"x": "a + 12", "p": "x + 17", "b": "p + 17", "u": "b + 11", "q": "u + 7", "l": "q + 16", "r": "a + 17", "f": "r + 7", "n": "f + 1", "e": "n + 7", "j": "e + 9", "y": "j + 16", "a": 18}, "premises": {"a": 18}, "target": "l"}, "answer": {"steps": [["q", "u + 7", "u + 23"], ["u", "b + 11", "b + 34"], ["b", "p + 17", "p + 51"], ["p", "x + 17", "x + 68"], ["x", "a + 12", "a + 80"], ["a", 18, "98"]], "target_var_name": "l", "target_value": 98, "value_dict": {"a": 18}, "is_reverse": true}} | 6,685 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = n + 7; a = 18; x = a + 12; b = p + 17; l = q + 16; q = u + 7; j = e + 9; p = x + 17; y = j + 16; u = b + 11; f = r + 7; r = a + 17; n = f + 1. If a = 18, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = u + 7 to l, which gives l = u + 23.\n2. Substitute u = b + 11 to l, which gives l = b + 34.\n3. Substitute b = p + 17 to l, which gives l = p + 51.\n4. Substitute p = x + 17 to l, which gives l = x + 68.\n5. Substitute x = a + 12 to l, which gives l = a + 80.\n6. Substitute a = 18 to l, which gives l = 98.\n\nThus, the final answer is l = \\boxed{98}.",
"index": 6685,
"question": "Consider a system of variables where each variable is defined as follows: e = n + 7; a = 18; x = a + 12; b = p + 17; l = q + 16; q = u + 7; j = e + 9; p = x + 17; y = j + 16; u = b + 11; f = r + 7; r = a + 17; n = f + 1. If a = 18, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"k": "g + 15", "p": "k + 19", "c": "p + 20", "h": "c + 5", "z": "h + 3", "r": "z + 9", "y": "g + 1", "v": "y + 7", "f": "v + 20", "x": "f + 9", "e": "x + 2", "l": "e + 12", "g": 10}, "premises": {"g": 10}, "target": "r"}, "answer": {"steps": [["z", "h + 3", "h + 12"], ["h", "c + 5", "c + 17"], ["c", "p + 20", "p + 37"], ["p", "k + 19", "k + 56"], ["k", "g + 15", "g + 71"], ["g", 10, "81"]], "target_var_name": "r", "target_value": 81, "value_dict": {"g": 10}, "is_reverse": true}} | 6,686 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = k + 19; v = y + 7; r = z + 9; e = x + 2; k = g + 15; y = g + 1; x = f + 9; g = 10; z = h + 3; c = p + 20; f = v + 20; l = e + 12; h = c + 5. If g = 10, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = h + 3 to r, which gives r = h + 12.\n2. Substitute h = c + 5 to r, which gives r = c + 17.\n3. Substitute c = p + 20 to r, which gives r = p + 37.\n4. Substitute p = k + 19 to r, which gives r = k + 56.\n5. Substitute k = g + 15 to r, which gives r = g + 71.\n6. Substitute g = 10 to r, which gives r = 81.\n\nThus, the final answer is r = \\boxed{81}.",
"index": 6686,
"question": "Consider a system of variables where each variable is defined as follows: p = k + 19; v = y + 7; r = z + 9; e = x + 2; k = g + 15; y = g + 1; x = f + 9; g = 10; z = h + 3; c = p + 20; f = v + 20; l = e + 12; h = c + 5. If g = 10, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"m": "o + 9", "w": "m + 10", "s": "w + 15", "p": "s + 3", "r": "p + 4", "t": "r + 9", "b": "o + 9", "k": "b + 13", "x": "k + 17", "n": "x + 5", "v": "n + 5", "g": "v + 7", "o": 7}, "premises": {"o": 7}, "target": "t"}, "answer": {"steps": [["r", "p + 4", "p + 13"], ["p", "s + 3", "s + 16"], ["s", "w + 15", "w + 31"], ["w", "m + 10", "m + 41"], ["m", "o + 9", "o + 50"], ["o", 7, "57"]], "target_var_name": "t", "target_value": 57, "value_dict": {"o": 7}, "is_reverse": true}} | 6,687 | 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 = m + 10; t = r + 9; x = k + 17; g = v + 7; b = o + 9; v = n + 5; o = 7; r = p + 4; m = o + 9; p = s + 3; n = x + 5; s = w + 15; k = b + 13. If o = 7, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = p + 4 to t, which gives t = p + 13.\n2. Substitute p = s + 3 to t, which gives t = s + 16.\n3. Substitute s = w + 15 to t, which gives t = w + 31.\n4. Substitute w = m + 10 to t, which gives t = m + 41.\n5. Substitute m = o + 9 to t, which gives t = o + 50.\n6. Substitute o = 7 to t, which gives t = 57.\n\nThus, the final answer is t = \\boxed{57}.",
"index": 6687,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = m + 10; t = r + 9; x = k + 17; g = v + 7; b = o + 9; v = n + 5; o = 7; r = p + 4; m = o + 9; p = s + 3; n = x + 5; s = w + 15; k = b + 13. If o = 7, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"x": "i + 17", "n": "x + 16", "b": "n + 13", "p": "b + 2", "k": "p + 16", "r": "k + 5", "z": "i + 15", "t": "z + 9", "j": "t + 5", "l": "j + 5", "a": "l + 6", "q": "a + 3", "i": 15}, "premises": {"i": 15}, "target": "r"}, "answer": {"steps": [["k", "p + 16", "p + 21"], ["p", "b + 2", "b + 23"], ["b", "n + 13", "n + 36"], ["n", "x + 16", "x + 52"], ["x", "i + 17", "i + 69"], ["i", 15, "84"]], "target_var_name": "r", "target_value": 84, "value_dict": {"i": 15}, "is_reverse": true}} | 6,688 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = z + 9; q = a + 3; n = x + 16; a = l + 6; b = n + 13; x = i + 17; r = k + 5; z = i + 15; j = t + 5; l = j + 5; i = 15; p = b + 2; k = p + 16. Given that i = 15, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = p + 16 to r, which gives r = p + 21.\n2. Substitute p = b + 2 to r, which gives r = b + 23.\n3. Substitute b = n + 13 to r, which gives r = n + 36.\n4. Substitute n = x + 16 to r, which gives r = x + 52.\n5. Substitute x = i + 17 to r, which gives r = i + 69.\n6. Substitute i = 15 to r, which gives r = 84.\n\nThus, the final answer is r = \\boxed{84}.",
"index": 6688,
"question": "Suppose a collection of variables is related by the following definitions: t = z + 9; q = a + 3; n = x + 16; a = l + 6; b = n + 13; x = i + 17; r = k + 5; z = i + 15; j = t + 5; l = j + 5; i = 15; p = b + 2; k = p + 16. Given that i = 15, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"j": "t + 6", "f": "j + 14", "s": "f + 9", "p": "s + 18", "d": "p + 5", "r": "d + 2", "h": "t + 3", "v": "h + 1", "o": "v + 13", "u": "o + 4", "a": "u + 18", "i": "a + 16", "t": 19}, "premises": {"t": 19}, "target": "r"}, "answer": {"steps": [["d", "p + 5", "p + 7"], ["p", "s + 18", "s + 25"], ["s", "f + 9", "f + 34"], ["f", "j + 14", "j + 48"], ["j", "t + 6", "t + 54"], ["t", 19, "73"]], "target_var_name": "r", "target_value": 73, "value_dict": {"t": 19}, "is_reverse": true}} | 6,689 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = o + 4; s = f + 9; o = v + 13; d = p + 5; v = h + 1; a = u + 18; f = j + 14; t = 19; h = t + 3; p = s + 18; j = t + 6; r = d + 2; i = a + 16. Given that t = 19, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = p + 5 to r, which gives r = p + 7.\n2. Substitute p = s + 18 to r, which gives r = s + 25.\n3. Substitute s = f + 9 to r, which gives r = f + 34.\n4. Substitute f = j + 14 to r, which gives r = j + 48.\n5. Substitute j = t + 6 to r, which gives r = t + 54.\n6. Substitute t = 19 to r, which gives r = 73.\n\nThus, the final answer is r = \\boxed{73}.",
"index": 6689,
"question": "Suppose a collection of variables is related by the following definitions: u = o + 4; s = f + 9; o = v + 13; d = p + 5; v = h + 1; a = u + 18; f = j + 14; t = 19; h = t + 3; p = s + 18; j = t + 6; r = d + 2; i = a + 16. Given that t = 19, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"q": "w + 7", "b": "q + 15", "o": "b + 15", "f": "o + 16", "g": "f + 14", "x": "g + 3", "t": "w + 18", "l": "t + 19", "c": "l + 13", "e": "c + 20", "p": "e + 12", "j": "p + 16", "w": 17}, "premises": {"w": 17}, "target": "x"}, "answer": {"steps": [["g", "f + 14", "f + 17"], ["f", "o + 16", "o + 33"], ["o", "b + 15", "b + 48"], ["b", "q + 15", "q + 63"], ["q", "w + 7", "w + 70"], ["w", 17, "87"]], "target_var_name": "x", "target_value": 87, "value_dict": {"w": 17}, "is_reverse": true}} | 6,690 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = b + 15; l = t + 19; g = f + 14; x = g + 3; b = q + 15; t = w + 18; p = e + 12; c = l + 13; q = w + 7; e = c + 20; f = o + 16; w = 17; j = p + 16. Given that w = 17, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = f + 14 to x, which gives x = f + 17.\n2. Substitute f = o + 16 to x, which gives x = o + 33.\n3. Substitute o = b + 15 to x, which gives x = b + 48.\n4. Substitute b = q + 15 to x, which gives x = q + 63.\n5. Substitute q = w + 7 to x, which gives x = w + 70.\n6. Substitute w = 17 to x, which gives x = 87.\n\nThus, the final answer is x = \\boxed{87}.",
"index": 6690,
"question": "Suppose a collection of variables is related by the following definitions: o = b + 15; l = t + 19; g = f + 14; x = g + 3; b = q + 15; t = w + 18; p = e + 12; c = l + 13; q = w + 7; e = c + 20; f = o + 16; w = 17; j = p + 16. Given that w = 17, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"u": "y + 7", "d": "u + 10", "e": "d + 2", "n": "e + 18", "t": "n + 1", "c": "t + 6", "k": "y + 4", "f": "k + 1", "m": "f + 15", "r": "m + 4", "o": "r + 6", "l": "o + 10", "y": 11}, "premises": {"y": 11}, "target": "c"}, "answer": {"steps": [["t", "n + 1", "n + 7"], ["n", "e + 18", "e + 25"], ["e", "d + 2", "d + 27"], ["d", "u + 10", "u + 37"], ["u", "y + 7", "y + 44"], ["y", 11, "55"]], "target_var_name": "c", "target_value": 55, "value_dict": {"y": 11}, "is_reverse": true}} | 6,691 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = o + 10; u = y + 7; r = m + 4; m = f + 15; f = k + 1; d = u + 10; y = 11; n = e + 18; o = r + 6; e = d + 2; t = n + 1; c = t + 6; k = y + 4. If y = 11, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = n + 1 to c, which gives c = n + 7.\n2. Substitute n = e + 18 to c, which gives c = e + 25.\n3. Substitute e = d + 2 to c, which gives c = d + 27.\n4. Substitute d = u + 10 to c, which gives c = u + 37.\n5. Substitute u = y + 7 to c, which gives c = y + 44.\n6. Substitute y = 11 to c, which gives c = 55.\n\nThus, the final answer is c = \\boxed{55}.",
"index": 6691,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = o + 10; u = y + 7; r = m + 4; m = f + 15; f = k + 1; d = u + 10; y = 11; n = e + 18; o = r + 6; e = d + 2; t = n + 1; c = t + 6; k = y + 4. If y = 11, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"u": "a + 20", "h": "u + 11", "q": "h + 12", "r": "q + 2", "j": "r + 9", "d": "j + 20", "w": "a + 16", "s": "w + 14", "z": "s + 11", "k": "z + 7", "t": "k + 8", "n": "t + 17", "a": 2}, "premises": {"a": 2}, "target": "d"}, "answer": {"steps": [["j", "r + 9", "r + 29"], ["r", "q + 2", "q + 31"], ["q", "h + 12", "h + 43"], ["h", "u + 11", "u + 54"], ["u", "a + 20", "a + 74"], ["a", 2, "76"]], "target_var_name": "d", "target_value": 76, "value_dict": {"a": 2}, "is_reverse": true}} | 6,692 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = q + 2; u = a + 20; w = a + 16; s = w + 14; h = u + 11; t = k + 8; z = s + 11; q = h + 12; j = r + 9; a = 2; d = j + 20; k = z + 7; n = t + 17. If a = 2, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = r + 9 to d, which gives d = r + 29.\n2. Substitute r = q + 2 to d, which gives d = q + 31.\n3. Substitute q = h + 12 to d, which gives d = h + 43.\n4. Substitute h = u + 11 to d, which gives d = u + 54.\n5. Substitute u = a + 20 to d, which gives d = a + 74.\n6. Substitute a = 2 to d, which gives d = 76.\n\nThus, the final answer is d = \\boxed{76}.",
"index": 6692,
"question": "Consider a system of variables where each variable is defined as follows: r = q + 2; u = a + 20; w = a + 16; s = w + 14; h = u + 11; t = k + 8; z = s + 11; q = h + 12; j = r + 9; a = 2; d = j + 20; k = z + 7; n = t + 17. If a = 2, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"p": "r + 14", "c": "p + 17", "l": "c + 1", "j": "l + 16", "z": "j + 6", "t": "z + 18", "f": "r + 9", "k": "f + 18", "u": "k + 18", "i": "u + 6", "a": "i + 10", "b": "a + 19", "r": 2}, "premises": {"r": 2}, "target": "t"}, "answer": {"steps": [["z", "j + 6", "j + 24"], ["j", "l + 16", "l + 40"], ["l", "c + 1", "c + 41"], ["c", "p + 17", "p + 58"], ["p", "r + 14", "r + 72"], ["r", 2, "74"]], "target_var_name": "t", "target_value": 74, "value_dict": {"r": 2}, "is_reverse": true}} | 6,693 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = p + 17; r = 2; f = r + 9; l = c + 1; t = z + 18; j = l + 16; k = f + 18; a = i + 10; i = u + 6; u = k + 18; p = r + 14; z = j + 6; b = a + 19. Given that r = 2, find 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 z = j + 6 to t, which gives t = j + 24.\n2. Substitute j = l + 16 to t, which gives t = l + 40.\n3. Substitute l = c + 1 to t, which gives t = c + 41.\n4. Substitute c = p + 17 to t, which gives t = p + 58.\n5. Substitute p = r + 14 to t, which gives t = r + 72.\n6. Substitute r = 2 to t, which gives t = 74.\n\nThus, the final answer is t = \\boxed{74}.",
"index": 6693,
"question": "Suppose a collection of variables is related by the following definitions: c = p + 17; r = 2; f = r + 9; l = c + 1; t = z + 18; j = l + 16; k = f + 18; a = i + 10; i = u + 6; u = k + 18; p = r + 14; z = j + 6; b = a + 19. Given that r = 2, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"c": "v + 15", "f": "c + 8", "j": "f + 4", "n": "j + 19", "u": "n + 13", "z": "u + 12", "l": "v + 4", "o": "l + 7", "q": "o + 17", "w": "q + 13", "b": "w + 7", "x": "b + 3", "v": 15}, "premises": {"v": 15}, "target": "z"}, "answer": {"steps": [["u", "n + 13", "n + 25"], ["n", "j + 19", "j + 44"], ["j", "f + 4", "f + 48"], ["f", "c + 8", "c + 56"], ["c", "v + 15", "v + 71"], ["v", 15, "86"]], "target_var_name": "z", "target_value": 86, "value_dict": {"v": 15}, "is_reverse": true}} | 6,694 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = n + 13; w = q + 13; v = 15; c = v + 15; x = b + 3; b = w + 7; z = u + 12; o = l + 7; n = j + 19; l = v + 4; f = c + 8; j = f + 4; q = o + 17. If v = 15, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = n + 13 to z, which gives z = n + 25.\n2. Substitute n = j + 19 to z, which gives z = j + 44.\n3. Substitute j = f + 4 to z, which gives z = f + 48.\n4. Substitute f = c + 8 to z, which gives z = c + 56.\n5. Substitute c = v + 15 to z, which gives z = v + 71.\n6. Substitute v = 15 to z, which gives z = 86.\n\nThus, the final answer is z = \\boxed{86}.",
"index": 6694,
"question": "Consider a system of variables where each variable is defined as follows: u = n + 13; w = q + 13; v = 15; c = v + 15; x = b + 3; b = w + 7; z = u + 12; o = l + 7; n = j + 19; l = v + 4; f = c + 8; j = f + 4; q = o + 17. If v = 15, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"z": "l + 19", "b": "z + 17", "d": "b + 19", "s": "d + 15", "g": "s + 11", "v": "g + 7", "t": "l + 13", "j": "t + 5", "p": "j + 1", "h": "p + 1", "f": "h + 20", "c": "f + 16", "l": 12}, "premises": {"l": 12}, "target": "v"}, "answer": {"steps": [["g", "s + 11", "s + 18"], ["s", "d + 15", "d + 33"], ["d", "b + 19", "b + 52"], ["b", "z + 17", "z + 69"], ["z", "l + 19", "l + 88"], ["l", 12, "100"]], "target_var_name": "v", "target_value": 100, "value_dict": {"l": 12}, "is_reverse": true}} | 6,695 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = p + 1; g = s + 11; l = 12; t = l + 13; d = b + 19; p = j + 1; j = t + 5; z = l + 19; b = z + 17; v = g + 7; c = f + 16; f = h + 20; s = d + 15. If l = 12, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = s + 11 to v, which gives v = s + 18.\n2. Substitute s = d + 15 to v, which gives v = d + 33.\n3. Substitute d = b + 19 to v, which gives v = b + 52.\n4. Substitute b = z + 17 to v, which gives v = z + 69.\n5. Substitute z = l + 19 to v, which gives v = l + 88.\n6. Substitute l = 12 to v, which gives v = 100.\n\nThus, the final answer is v = \\boxed{100}.",
"index": 6695,
"question": "Consider a system of variables where each variable is defined as follows: h = p + 1; g = s + 11; l = 12; t = l + 13; d = b + 19; p = j + 1; j = t + 5; z = l + 19; b = z + 17; v = g + 7; c = f + 16; f = h + 20; s = d + 15. If l = 12, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"g": "x + 10", "c": "g + 15", "i": "c + 14", "q": "i + 5", "a": "q + 4", "w": "a + 11", "d": "x + 15", "f": "d + 12", "n": "f + 4", "t": "n + 20", "e": "t + 3", "j": "e + 17", "x": 13}, "premises": {"x": 13}, "target": "w"}, "answer": {"steps": [["a", "q + 4", "q + 15"], ["q", "i + 5", "i + 20"], ["i", "c + 14", "c + 34"], ["c", "g + 15", "g + 49"], ["g", "x + 10", "x + 59"], ["x", 13, "72"]], "target_var_name": "w", "target_value": 72, "value_dict": {"x": 13}, "is_reverse": true}} | 6,696 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = f + 4; j = e + 17; x = 13; f = d + 12; i = c + 14; t = n + 20; d = x + 15; q = i + 5; w = a + 11; e = t + 3; g = x + 10; c = g + 15; a = q + 4. Given that x = 13, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = q + 4 to w, which gives w = q + 15.\n2. Substitute q = i + 5 to w, which gives w = i + 20.\n3. Substitute i = c + 14 to w, which gives w = c + 34.\n4. Substitute c = g + 15 to w, which gives w = g + 49.\n5. Substitute g = x + 10 to w, which gives w = x + 59.\n6. Substitute x = 13 to w, which gives w = 72.\n\nThus, the final answer is w = \\boxed{72}.",
"index": 6696,
"question": "Suppose a collection of variables is related by the following definitions: n = f + 4; j = e + 17; x = 13; f = d + 12; i = c + 14; t = n + 20; d = x + 15; q = i + 5; w = a + 11; e = t + 3; g = x + 10; c = g + 15; a = q + 4. Given that x = 13, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"o": "n + 14", "s": "o + 10", "e": "s + 19", "q": "e + 2", "i": "q + 7", "b": "i + 14", "a": "n + 18", "d": "a + 11", "w": "d + 5", "r": "w + 20", "h": "r + 10", "c": "h + 8", "n": 12}, "premises": {"n": 12}, "target": "b"}, "answer": {"steps": [["i", "q + 7", "q + 21"], ["q", "e + 2", "e + 23"], ["e", "s + 19", "s + 42"], ["s", "o + 10", "o + 52"], ["o", "n + 14", "n + 66"], ["n", 12, "78"]], "target_var_name": "b", "target_value": 78, "value_dict": {"n": 12}, "is_reverse": true}} | 6,697 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = n + 14; c = h + 8; w = d + 5; n = 12; i = q + 7; s = o + 10; q = e + 2; b = i + 14; e = s + 19; a = n + 18; r = w + 20; h = r + 10; d = a + 11. If n = 12, what is the resulting 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 i = q + 7 to b, which gives b = q + 21.\n2. Substitute q = e + 2 to b, which gives b = e + 23.\n3. Substitute e = s + 19 to b, which gives b = s + 42.\n4. Substitute s = o + 10 to b, which gives b = o + 52.\n5. Substitute o = n + 14 to b, which gives b = n + 66.\n6. Substitute n = 12 to b, which gives b = 78.\n\nThus, the final answer is b = \\boxed{78}.",
"index": 6697,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = n + 14; c = h + 8; w = d + 5; n = 12; i = q + 7; s = o + 10; q = e + 2; b = i + 14; e = s + 19; a = n + 18; r = w + 20; h = r + 10; d = a + 11. If n = 12, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"e": "b + 10", "r": "e + 11", "u": "r + 9", "z": "u + 4", "w": "z + 2", "q": "w + 8", "h": "b + 18", "o": "h + 10", "s": "o + 18", "a": "s + 12", "i": "a + 11", "f": "i + 10", "b": 5}, "premises": {"b": 5}, "target": "q"}, "answer": {"steps": [["w", "z + 2", "z + 10"], ["z", "u + 4", "u + 14"], ["u", "r + 9", "r + 23"], ["r", "e + 11", "e + 34"], ["e", "b + 10", "b + 44"], ["b", 5, "49"]], "target_var_name": "q", "target_value": 49, "value_dict": {"b": 5}, "is_reverse": true}} | 6,698 | 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 = s + 12; w = z + 2; s = o + 18; i = a + 11; e = b + 10; h = b + 18; z = u + 4; r = e + 11; o = h + 10; q = w + 8; f = i + 10; u = r + 9; b = 5. If b = 5, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = z + 2 to q, which gives q = z + 10.\n2. Substitute z = u + 4 to q, which gives q = u + 14.\n3. Substitute u = r + 9 to q, which gives q = r + 23.\n4. Substitute r = e + 11 to q, which gives q = e + 34.\n5. Substitute e = b + 10 to q, which gives q = b + 44.\n6. Substitute b = 5 to q, which gives q = 49.\n\nThus, the final answer is q = \\boxed{49}.",
"index": 6698,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = s + 12; w = z + 2; s = o + 18; i = a + 11; e = b + 10; h = b + 18; z = u + 4; r = e + 11; o = h + 10; q = w + 8; f = i + 10; u = r + 9; b = 5. If b = 5, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"j": "y + 7", "d": "j + 11", "e": "d + 4", "i": "e + 14", "c": "i + 11", "k": "c + 13", "w": "y + 11", "a": "w + 20", "l": "a + 3", "s": "l + 17", "o": "s + 9", "t": "o + 5", "y": 15}, "premises": {"y": 15}, "target": "k"}, "answer": {"steps": [["c", "i + 11", "i + 24"], ["i", "e + 14", "e + 38"], ["e", "d + 4", "d + 42"], ["d", "j + 11", "j + 53"], ["j", "y + 7", "y + 60"], ["y", 15, "75"]], "target_var_name": "k", "target_value": 75, "value_dict": {"y": 15}, "is_reverse": true}} | 6,699 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = e + 14; j = y + 7; s = l + 17; y = 15; e = d + 4; w = y + 11; t = o + 5; c = i + 11; a = w + 20; o = s + 9; l = a + 3; d = j + 11; k = c + 13. If y = 15, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = i + 11 to k, which gives k = i + 24.\n2. Substitute i = e + 14 to k, which gives k = e + 38.\n3. Substitute e = d + 4 to k, which gives k = d + 42.\n4. Substitute d = j + 11 to k, which gives k = j + 53.\n5. Substitute j = y + 7 to k, which gives k = y + 60.\n6. Substitute y = 15 to k, which gives k = 75.\n\nThus, the final answer is k = \\boxed{75}.",
"index": 6699,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = e + 14; j = y + 7; s = l + 17; y = 15; e = d + 4; w = y + 11; t = o + 5; c = i + 11; a = w + 20; o = s + 9; l = a + 3; d = j + 11; k = c + 13. If y = 15, what is the resulting value of k?",
"split": "train"
} |
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