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": {"n": "g + 16", "x": "n + 2", "s": "x + 7", "o": "s + 9", "z": "o + 6", "q": "z + 1", "m": "g + 4", "a": "m + 17", "d": "a + 3", "b": "d + 11", "v": "b + 17", "w": "v + 9", "g": 6}, "premises": {"g": 6}, "target": "q"}, "answer": {"steps": [["z", "o + 6", "o + 7"], ["o", "s + 9", "s + 16"], ["s", "x + 7", "x + 23"], ["x", "n + 2", "n + 25"], ["n", "g + 16", "g + 41"], ["g", 6, "47"]], "target_var_name": "q", "target_value": 47, "value_dict": {"g": 6}, "is_reverse": true}} | 8,100 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = x + 7; q = z + 1; w = v + 9; m = g + 4; z = o + 6; g = 6; o = s + 9; a = m + 17; d = a + 3; n = g + 16; v = b + 17; x = n + 2; b = d + 11. If g = 6, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = o + 6 to q, which gives q = o + 7.\n2. Substitute o = s + 9 to q, which gives q = s + 16.\n3. Substitute s = x + 7 to q, which gives q = x + 23.\n4. Substitute x = n + 2 to q, which gives q = n + 25.\n5. Substitute n = g + 16 to q, which gives q = g + 41.\n6. Substitute g = 6 to q, which gives q = 47.\n\nThus, the final answer is q = \\boxed{47}.",
"index": 8100,
"question": "Consider a system of variables where each variable is defined as follows: s = x + 7; q = z + 1; w = v + 9; m = g + 4; z = o + 6; g = 6; o = s + 9; a = m + 17; d = a + 3; n = g + 16; v = b + 17; x = n + 2; b = d + 11. If g = 6, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"y": "h + 14", "q": "y + 8", "g": "q + 17", "t": "g + 14", "j": "t + 19", "e": "j + 7", "d": "h + 7", "s": "d + 3", "a": "s + 3", "p": "a + 8", "r": "p + 2", "o": "r + 4", "h": 13}, "premises": {"h": 13}, "target": "e"}, "answer": {"steps": [["j", "t + 19", "t + 26"], ["t", "g + 14", "g + 40"], ["g", "q + 17", "q + 57"], ["q", "y + 8", "y + 65"], ["y", "h + 14", "h + 79"], ["h", 13, "92"]], "target_var_name": "e", "target_value": 92, "value_dict": {"h": 13}, "is_reverse": true}} | 8,101 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = a + 8; r = p + 2; h = 13; y = h + 14; g = q + 17; s = d + 3; q = y + 8; d = h + 7; t = g + 14; o = r + 4; j = t + 19; e = j + 7; a = s + 3. Given that h = 13, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = t + 19 to e, which gives e = t + 26.\n2. Substitute t = g + 14 to e, which gives e = g + 40.\n3. Substitute g = q + 17 to e, which gives e = q + 57.\n4. Substitute q = y + 8 to e, which gives e = y + 65.\n5. Substitute y = h + 14 to e, which gives e = h + 79.\n6. Substitute h = 13 to e, which gives e = 92.\n\nThus, the final answer is e = \\boxed{92}.",
"index": 8101,
"question": "Suppose a collection of variables is related by the following definitions: p = a + 8; r = p + 2; h = 13; y = h + 14; g = q + 17; s = d + 3; q = y + 8; d = h + 7; t = g + 14; o = r + 4; j = t + 19; e = j + 7; a = s + 3. Given that h = 13, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"j": "e + 20", "v": "j + 12", "a": "v + 4", "o": "a + 5", "l": "o + 17", "g": "l + 6", "b": "e + 9", "d": "b + 13", "u": "d + 13", "x": "u + 3", "f": "x + 1", "h": "f + 10", "e": 15}, "premises": {"e": 15}, "target": "g"}, "answer": {"steps": [["l", "o + 17", "o + 23"], ["o", "a + 5", "a + 28"], ["a", "v + 4", "v + 32"], ["v", "j + 12", "j + 44"], ["j", "e + 20", "e + 64"], ["e", 15, "79"]], "target_var_name": "g", "target_value": 79, "value_dict": {"e": 15}, "is_reverse": true}} | 8,102 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = d + 13; h = f + 10; g = l + 6; l = o + 17; j = e + 20; d = b + 13; o = a + 5; a = v + 4; e = 15; b = e + 9; f = x + 1; x = u + 3; v = j + 12. Given that e = 15, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = o + 17 to g, which gives g = o + 23.\n2. Substitute o = a + 5 to g, which gives g = a + 28.\n3. Substitute a = v + 4 to g, which gives g = v + 32.\n4. Substitute v = j + 12 to g, which gives g = j + 44.\n5. Substitute j = e + 20 to g, which gives g = e + 64.\n6. Substitute e = 15 to g, which gives g = 79.\n\nThus, the final answer is g = \\boxed{79}.",
"index": 8102,
"question": "Suppose a collection of variables is related by the following definitions: u = d + 13; h = f + 10; g = l + 6; l = o + 17; j = e + 20; d = b + 13; o = a + 5; a = v + 4; e = 15; b = e + 9; f = x + 1; x = u + 3; v = j + 12. Given that e = 15, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"c": "a + 20", "f": "c + 19", "p": "f + 4", "n": "p + 15", "d": "n + 7", "t": "d + 15", "e": "a + 7", "y": "e + 11", "o": "y + 15", "u": "o + 14", "x": "u + 18", "b": "x + 11", "a": 19}, "premises": {"a": 19}, "target": "t"}, "answer": {"steps": [["d", "n + 7", "n + 22"], ["n", "p + 15", "p + 37"], ["p", "f + 4", "f + 41"], ["f", "c + 19", "c + 60"], ["c", "a + 20", "a + 80"], ["a", 19, "99"]], "target_var_name": "t", "target_value": 99, "value_dict": {"a": 19}, "is_reverse": true}} | 8,103 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = a + 7; y = e + 11; b = x + 11; f = c + 19; o = y + 15; c = a + 20; u = o + 14; p = f + 4; x = u + 18; a = 19; n = p + 15; t = d + 15; d = n + 7. If a = 19, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = n + 7 to t, which gives t = n + 22.\n2. Substitute n = p + 15 to t, which gives t = p + 37.\n3. Substitute p = f + 4 to t, which gives t = f + 41.\n4. Substitute f = c + 19 to t, which gives t = c + 60.\n5. Substitute c = a + 20 to t, which gives t = a + 80.\n6. Substitute a = 19 to t, which gives t = 99.\n\nThus, the final answer is t = \\boxed{99}.",
"index": 8103,
"question": "Consider a system of variables where each variable is defined as follows: e = a + 7; y = e + 11; b = x + 11; f = c + 19; o = y + 15; c = a + 20; u = o + 14; p = f + 4; x = u + 18; a = 19; n = p + 15; t = d + 15; d = n + 7. If a = 19, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"v": "z + 3", "s": "v + 8", "n": "s + 5", "u": "n + 13", "i": "u + 5", "m": "i + 19", "g": "z + 1", "x": "g + 4", "y": "x + 17", "e": "y + 9", "a": "e + 4", "b": "a + 6", "z": 20}, "premises": {"z": 20}, "target": "m"}, "answer": {"steps": [["i", "u + 5", "u + 24"], ["u", "n + 13", "n + 37"], ["n", "s + 5", "s + 42"], ["s", "v + 8", "v + 50"], ["v", "z + 3", "z + 53"], ["z", 20, "73"]], "target_var_name": "m", "target_value": 73, "value_dict": {"z": 20}, "is_reverse": true}} | 8,104 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = g + 4; m = i + 19; i = u + 5; n = s + 5; g = z + 1; v = z + 3; e = y + 9; u = n + 13; s = v + 8; a = e + 4; b = a + 6; y = x + 17; z = 20. Given that z = 20, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = u + 5 to m, which gives m = u + 24.\n2. Substitute u = n + 13 to m, which gives m = n + 37.\n3. Substitute n = s + 5 to m, which gives m = s + 42.\n4. Substitute s = v + 8 to m, which gives m = v + 50.\n5. Substitute v = z + 3 to m, which gives m = z + 53.\n6. Substitute z = 20 to m, which gives m = 73.\n\nThus, the final answer is m = \\boxed{73}.",
"index": 8104,
"question": "Suppose a collection of variables is related by the following definitions: x = g + 4; m = i + 19; i = u + 5; n = s + 5; g = z + 1; v = z + 3; e = y + 9; u = n + 13; s = v + 8; a = e + 4; b = a + 6; y = x + 17; z = 20. Given that z = 20, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"q": "c + 5", "t": "q + 3", "d": "t + 8", "g": "d + 15", "u": "g + 11", "k": "u + 11", "r": "c + 19", "p": "r + 6", "z": "p + 6", "l": "z + 3", "m": "l + 13", "s": "m + 4", "c": 9}, "premises": {"c": 9}, "target": "k"}, "answer": {"steps": [["u", "g + 11", "g + 22"], ["g", "d + 15", "d + 37"], ["d", "t + 8", "t + 45"], ["t", "q + 3", "q + 48"], ["q", "c + 5", "c + 53"], ["c", 9, "62"]], "target_var_name": "k", "target_value": 62, "value_dict": {"c": 9}, "is_reverse": true}} | 8,105 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = q + 3; l = z + 3; k = u + 11; q = c + 5; z = p + 6; c = 9; u = g + 11; r = c + 19; d = t + 8; s = m + 4; p = r + 6; g = d + 15; m = l + 13. Given that c = 9, 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 u = g + 11 to k, which gives k = g + 22.\n2. Substitute g = d + 15 to k, which gives k = d + 37.\n3. Substitute d = t + 8 to k, which gives k = t + 45.\n4. Substitute t = q + 3 to k, which gives k = q + 48.\n5. Substitute q = c + 5 to k, which gives k = c + 53.\n6. Substitute c = 9 to k, which gives k = 62.\n\nThus, the final answer is k = \\boxed{62}.",
"index": 8105,
"question": "Suppose a collection of variables is related by the following definitions: t = q + 3; l = z + 3; k = u + 11; q = c + 5; z = p + 6; c = 9; u = g + 11; r = c + 19; d = t + 8; s = m + 4; p = r + 6; g = d + 15; m = l + 13. Given that c = 9, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"q": "c + 19", "m": "q + 14", "g": "m + 9", "w": "g + 5", "f": "w + 19", "u": "f + 14", "r": "c + 6", "l": "r + 3", "x": "l + 19", "s": "x + 11", "j": "s + 5", "o": "j + 11", "c": 11}, "premises": {"c": 11}, "target": "u"}, "answer": {"steps": [["f", "w + 19", "w + 33"], ["w", "g + 5", "g + 38"], ["g", "m + 9", "m + 47"], ["m", "q + 14", "q + 61"], ["q", "c + 19", "c + 80"], ["c", 11, "91"]], "target_var_name": "u", "target_value": 91, "value_dict": {"c": 11}, "is_reverse": true}} | 8,106 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = x + 11; f = w + 19; q = c + 19; r = c + 6; m = q + 14; w = g + 5; j = s + 5; o = j + 11; x = l + 19; u = f + 14; g = m + 9; l = r + 3; c = 11. If c = 11, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = w + 19 to u, which gives u = w + 33.\n2. Substitute w = g + 5 to u, which gives u = g + 38.\n3. Substitute g = m + 9 to u, which gives u = m + 47.\n4. Substitute m = q + 14 to u, which gives u = q + 61.\n5. Substitute q = c + 19 to u, which gives u = c + 80.\n6. Substitute c = 11 to u, which gives u = 91.\n\nThus, the final answer is u = \\boxed{91}.",
"index": 8106,
"question": "Consider a system of variables where each variable is defined as follows: s = x + 11; f = w + 19; q = c + 19; r = c + 6; m = q + 14; w = g + 5; j = s + 5; o = j + 11; x = l + 19; u = f + 14; g = m + 9; l = r + 3; c = 11. If c = 11, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"m": "r + 12", "j": "m + 6", "w": "j + 13", "h": "w + 8", "o": "h + 1", "f": "o + 8", "y": "r + 6", "x": "y + 7", "v": "x + 20", "p": "v + 3", "d": "p + 1", "l": "d + 12", "r": 4}, "premises": {"r": 4}, "target": "f"}, "answer": {"steps": [["o", "h + 1", "h + 9"], ["h", "w + 8", "w + 17"], ["w", "j + 13", "j + 30"], ["j", "m + 6", "m + 36"], ["m", "r + 12", "r + 48"], ["r", 4, "52"]], "target_var_name": "f", "target_value": 52, "value_dict": {"r": 4}, "is_reverse": true}} | 8,107 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = x + 20; m = r + 12; o = h + 1; l = d + 12; j = m + 6; r = 4; d = p + 1; w = j + 13; h = w + 8; x = y + 7; y = r + 6; f = o + 8; p = v + 3. If r = 4, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = h + 1 to f, which gives f = h + 9.\n2. Substitute h = w + 8 to f, which gives f = w + 17.\n3. Substitute w = j + 13 to f, which gives f = j + 30.\n4. Substitute j = m + 6 to f, which gives f = m + 36.\n5. Substitute m = r + 12 to f, which gives f = r + 48.\n6. Substitute r = 4 to f, which gives f = 52.\n\nThus, the final answer is f = \\boxed{52}.",
"index": 8107,
"question": "Consider a system of variables where each variable is defined as follows: v = x + 20; m = r + 12; o = h + 1; l = d + 12; j = m + 6; r = 4; d = p + 1; w = j + 13; h = w + 8; x = y + 7; y = r + 6; f = o + 8; p = v + 3. If r = 4, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"i": "v + 10", "n": "i + 4", "p": "n + 13", "e": "p + 1", "u": "e + 20", "l": "u + 9", "h": "v + 19", "a": "h + 12", "y": "a + 6", "w": "y + 12", "t": "w + 14", "c": "t + 4", "v": 1}, "premises": {"v": 1}, "target": "l"}, "answer": {"steps": [["u", "e + 20", "e + 29"], ["e", "p + 1", "p + 30"], ["p", "n + 13", "n + 43"], ["n", "i + 4", "i + 47"], ["i", "v + 10", "v + 57"], ["v", 1, "58"]], "target_var_name": "l", "target_value": 58, "value_dict": {"v": 1}, "is_reverse": true}} | 8,108 | 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 = v + 10; t = w + 14; w = y + 12; u = e + 20; a = h + 12; v = 1; l = u + 9; y = a + 6; e = p + 1; n = i + 4; c = t + 4; p = n + 13; h = v + 19. If v = 1, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = e + 20 to l, which gives l = e + 29.\n2. Substitute e = p + 1 to l, which gives l = p + 30.\n3. Substitute p = n + 13 to l, which gives l = n + 43.\n4. Substitute n = i + 4 to l, which gives l = i + 47.\n5. Substitute i = v + 10 to l, which gives l = v + 57.\n6. Substitute v = 1 to l, which gives l = 58.\n\nThus, the final answer is l = \\boxed{58}.",
"index": 8108,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = v + 10; t = w + 14; w = y + 12; u = e + 20; a = h + 12; v = 1; l = u + 9; y = a + 6; e = p + 1; n = i + 4; c = t + 4; p = n + 13; h = v + 19. If v = 1, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"t": "f + 6", "k": "t + 13", "b": "k + 1", "o": "b + 11", "l": "o + 16", "x": "l + 18", "j": "f + 12", "s": "j + 15", "h": "s + 2", "e": "h + 2", "n": "e + 3", "g": "n + 1", "f": 10}, "premises": {"f": 10}, "target": "x"}, "answer": {"steps": [["l", "o + 16", "o + 34"], ["o", "b + 11", "b + 45"], ["b", "k + 1", "k + 46"], ["k", "t + 13", "t + 59"], ["t", "f + 6", "f + 65"], ["f", 10, "75"]], "target_var_name": "x", "target_value": 75, "value_dict": {"f": 10}, "is_reverse": true}} | 8,109 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = t + 13; g = n + 1; f = 10; o = b + 11; l = o + 16; b = k + 1; x = l + 18; j = f + 12; e = h + 2; t = f + 6; n = e + 3; h = s + 2; s = j + 15. If f = 10, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = o + 16 to x, which gives x = o + 34.\n2. Substitute o = b + 11 to x, which gives x = b + 45.\n3. Substitute b = k + 1 to x, which gives x = k + 46.\n4. Substitute k = t + 13 to x, which gives x = t + 59.\n5. Substitute t = f + 6 to x, which gives x = f + 65.\n6. Substitute f = 10 to x, which gives x = 75.\n\nThus, the final answer is x = \\boxed{75}.",
"index": 8109,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = t + 13; g = n + 1; f = 10; o = b + 11; l = o + 16; b = k + 1; x = l + 18; j = f + 12; e = h + 2; t = f + 6; n = e + 3; h = s + 2; s = j + 15. If f = 10, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"z": "n + 5", "k": "z + 14", "t": "k + 8", "c": "t + 11", "f": "c + 11", "x": "f + 7", "g": "n + 18", "y": "g + 3", "q": "y + 12", "p": "q + 15", "i": "p + 11", "m": "i + 18", "n": 14}, "premises": {"n": 14}, "target": "x"}, "answer": {"steps": [["f", "c + 11", "c + 18"], ["c", "t + 11", "t + 29"], ["t", "k + 8", "k + 37"], ["k", "z + 14", "z + 51"], ["z", "n + 5", "n + 56"], ["n", 14, "70"]], "target_var_name": "x", "target_value": 70, "value_dict": {"n": 14}, "is_reverse": true}} | 8,110 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = g + 3; k = z + 14; m = i + 18; t = k + 8; q = y + 12; p = q + 15; x = f + 7; f = c + 11; g = n + 18; c = t + 11; n = 14; z = n + 5; i = p + 11. Given that n = 14, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = c + 11 to x, which gives x = c + 18.\n2. Substitute c = t + 11 to x, which gives x = t + 29.\n3. Substitute t = k + 8 to x, which gives x = k + 37.\n4. Substitute k = z + 14 to x, which gives x = z + 51.\n5. Substitute z = n + 5 to x, which gives x = n + 56.\n6. Substitute n = 14 to x, which gives x = 70.\n\nThus, the final answer is x = \\boxed{70}.",
"index": 8110,
"question": "Suppose a collection of variables is related by the following definitions: y = g + 3; k = z + 14; m = i + 18; t = k + 8; q = y + 12; p = q + 15; x = f + 7; f = c + 11; g = n + 18; c = t + 11; n = 14; z = n + 5; i = p + 11. Given that n = 14, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"k": "u + 8", "p": "k + 13", "x": "p + 16", "w": "x + 18", "n": "w + 10", "z": "n + 7", "s": "u + 6", "j": "s + 9", "b": "j + 18", "f": "b + 2", "e": "f + 1", "o": "e + 8", "u": 20}, "premises": {"u": 20}, "target": "z"}, "answer": {"steps": [["n", "w + 10", "w + 17"], ["w", "x + 18", "x + 35"], ["x", "p + 16", "p + 51"], ["p", "k + 13", "k + 64"], ["k", "u + 8", "u + 72"], ["u", 20, "92"]], "target_var_name": "z", "target_value": 92, "value_dict": {"u": 20}, "is_reverse": true}} | 8,111 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = u + 6; f = b + 2; o = e + 8; x = p + 16; k = u + 8; p = k + 13; b = j + 18; n = w + 10; w = x + 18; j = s + 9; u = 20; e = f + 1; z = n + 7. If u = 20, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = w + 10 to z, which gives z = w + 17.\n2. Substitute w = x + 18 to z, which gives z = x + 35.\n3. Substitute x = p + 16 to z, which gives z = p + 51.\n4. Substitute p = k + 13 to z, which gives z = k + 64.\n5. Substitute k = u + 8 to z, which gives z = u + 72.\n6. Substitute u = 20 to z, which gives z = 92.\n\nThus, the final answer is z = \\boxed{92}.",
"index": 8111,
"question": "Consider a system of variables where each variable is defined as follows: s = u + 6; f = b + 2; o = e + 8; x = p + 16; k = u + 8; p = k + 13; b = j + 18; n = w + 10; w = x + 18; j = s + 9; u = 20; e = f + 1; z = n + 7. If u = 20, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"m": "h + 10", "q": "m + 7", "a": "q + 6", "w": "a + 19", "l": "w + 9", "k": "l + 10", "y": "h + 15", "t": "y + 11", "b": "t + 1", "p": "b + 14", "r": "p + 2", "v": "r + 6", "h": 3}, "premises": {"h": 3}, "target": "k"}, "answer": {"steps": [["l", "w + 9", "w + 19"], ["w", "a + 19", "a + 38"], ["a", "q + 6", "q + 44"], ["q", "m + 7", "m + 51"], ["m", "h + 10", "h + 61"], ["h", 3, "64"]], "target_var_name": "k", "target_value": 64, "value_dict": {"h": 3}, "is_reverse": true}} | 8,112 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = r + 6; a = q + 6; y = h + 15; r = p + 2; h = 3; b = t + 1; m = h + 10; q = m + 7; p = b + 14; k = l + 10; w = a + 19; t = y + 11; l = w + 9. If h = 3, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = w + 9 to k, which gives k = w + 19.\n2. Substitute w = a + 19 to k, which gives k = a + 38.\n3. Substitute a = q + 6 to k, which gives k = q + 44.\n4. Substitute q = m + 7 to k, which gives k = m + 51.\n5. Substitute m = h + 10 to k, which gives k = h + 61.\n6. Substitute h = 3 to k, which gives k = 64.\n\nThus, the final answer is k = \\boxed{64}.",
"index": 8112,
"question": "Consider a system of variables where each variable is defined as follows: v = r + 6; a = q + 6; y = h + 15; r = p + 2; h = 3; b = t + 1; m = h + 10; q = m + 7; p = b + 14; k = l + 10; w = a + 19; t = y + 11; l = w + 9. If h = 3, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"c": "w + 17", "t": "c + 7", "d": "t + 16", "g": "d + 13", "s": "g + 20", "a": "s + 8", "m": "w + 4", "r": "m + 15", "z": "r + 19", "b": "z + 4", "f": "b + 19", "y": "f + 20", "w": 15}, "premises": {"w": 15}, "target": "a"}, "answer": {"steps": [["s", "g + 20", "g + 28"], ["g", "d + 13", "d + 41"], ["d", "t + 16", "t + 57"], ["t", "c + 7", "c + 64"], ["c", "w + 17", "w + 81"], ["w", 15, "96"]], "target_var_name": "a", "target_value": 96, "value_dict": {"w": 15}, "is_reverse": true}} | 8,113 | 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 = m + 15; f = b + 19; w = 15; g = d + 13; d = t + 16; s = g + 20; a = s + 8; m = w + 4; c = w + 17; t = c + 7; z = r + 19; b = z + 4; y = f + 20. If w = 15, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = g + 20 to a, which gives a = g + 28.\n2. Substitute g = d + 13 to a, which gives a = d + 41.\n3. Substitute d = t + 16 to a, which gives a = t + 57.\n4. Substitute t = c + 7 to a, which gives a = c + 64.\n5. Substitute c = w + 17 to a, which gives a = w + 81.\n6. Substitute w = 15 to a, which gives a = 96.\n\nThus, the final answer is a = \\boxed{96}.",
"index": 8113,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = m + 15; f = b + 19; w = 15; g = d + 13; d = t + 16; s = g + 20; a = s + 8; m = w + 4; c = w + 17; t = c + 7; z = r + 19; b = z + 4; y = f + 20. If w = 15, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"k": "w + 4", "n": "k + 3", "v": "n + 11", "x": "v + 15", "z": "x + 7", "s": "z + 13", "y": "w + 17", "p": "y + 1", "d": "p + 17", "q": "d + 15", "g": "q + 15", "c": "g + 7", "w": 14}, "premises": {"w": 14}, "target": "s"}, "answer": {"steps": [["z", "x + 7", "x + 20"], ["x", "v + 15", "v + 35"], ["v", "n + 11", "n + 46"], ["n", "k + 3", "k + 49"], ["k", "w + 4", "w + 53"], ["w", 14, "67"]], "target_var_name": "s", "target_value": 67, "value_dict": {"w": 14}, "is_reverse": true}} | 8,114 | 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 = z + 13; d = p + 17; q = d + 15; n = k + 3; c = g + 7; y = w + 17; x = v + 15; z = x + 7; w = 14; v = n + 11; k = w + 4; p = y + 1; g = q + 15. If w = 14, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = x + 7 to s, which gives s = x + 20.\n2. Substitute x = v + 15 to s, which gives s = v + 35.\n3. Substitute v = n + 11 to s, which gives s = n + 46.\n4. Substitute n = k + 3 to s, which gives s = k + 49.\n5. Substitute k = w + 4 to s, which gives s = w + 53.\n6. Substitute w = 14 to s, which gives s = 67.\n\nThus, the final answer is s = \\boxed{67}.",
"index": 8114,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = z + 13; d = p + 17; q = d + 15; n = k + 3; c = g + 7; y = w + 17; x = v + 15; z = x + 7; w = 14; v = n + 11; k = w + 4; p = y + 1; g = q + 15. If w = 14, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"j": "r + 10", "c": "j + 1", "i": "c + 3", "a": "i + 5", "q": "a + 5", "y": "q + 18", "l": "r + 13", "u": "l + 20", "t": "u + 9", "p": "t + 13", "s": "p + 3", "h": "s + 5", "r": 17}, "premises": {"r": 17}, "target": "y"}, "answer": {"steps": [["q", "a + 5", "a + 23"], ["a", "i + 5", "i + 28"], ["i", "c + 3", "c + 31"], ["c", "j + 1", "j + 32"], ["j", "r + 10", "r + 42"], ["r", 17, "59"]], "target_var_name": "y", "target_value": 59, "value_dict": {"r": 17}, "is_reverse": true}} | 8,115 | 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 = t + 13; r = 17; c = j + 1; h = s + 5; l = r + 13; u = l + 20; j = r + 10; s = p + 3; t = u + 9; i = c + 3; y = q + 18; q = a + 5; a = i + 5. If r = 17, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = a + 5 to y, which gives y = a + 23.\n2. Substitute a = i + 5 to y, which gives y = i + 28.\n3. Substitute i = c + 3 to y, which gives y = c + 31.\n4. Substitute c = j + 1 to y, which gives y = j + 32.\n5. Substitute j = r + 10 to y, which gives y = r + 42.\n6. Substitute r = 17 to y, which gives y = 59.\n\nThus, the final answer is y = \\boxed{59}.",
"index": 8115,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = t + 13; r = 17; c = j + 1; h = s + 5; l = r + 13; u = l + 20; j = r + 10; s = p + 3; t = u + 9; i = c + 3; y = q + 18; q = a + 5; a = i + 5. If r = 17, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"x": "b + 1", "r": "x + 12", "s": "r + 17", "h": "s + 3", "n": "h + 1", "m": "n + 3", "u": "b + 12", "c": "u + 20", "f": "c + 12", "q": "f + 17", "p": "q + 6", "l": "p + 16", "b": 6}, "premises": {"b": 6}, "target": "m"}, "answer": {"steps": [["n", "h + 1", "h + 4"], ["h", "s + 3", "s + 7"], ["s", "r + 17", "r + 24"], ["r", "x + 12", "x + 36"], ["x", "b + 1", "b + 37"], ["b", 6, "43"]], "target_var_name": "m", "target_value": 43, "value_dict": {"b": 6}, "is_reverse": true}} | 8,116 | 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 = f + 17; h = s + 3; f = c + 12; b = 6; p = q + 6; l = p + 16; n = h + 1; x = b + 1; u = b + 12; s = r + 17; c = u + 20; m = n + 3; r = x + 12. If b = 6, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = h + 1 to m, which gives m = h + 4.\n2. Substitute h = s + 3 to m, which gives m = s + 7.\n3. Substitute s = r + 17 to m, which gives m = r + 24.\n4. Substitute r = x + 12 to m, which gives m = x + 36.\n5. Substitute x = b + 1 to m, which gives m = b + 37.\n6. Substitute b = 6 to m, which gives m = 43.\n\nThus, the final answer is m = \\boxed{43}.",
"index": 8116,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = f + 17; h = s + 3; f = c + 12; b = 6; p = q + 6; l = p + 16; n = h + 1; x = b + 1; u = b + 12; s = r + 17; c = u + 20; m = n + 3; r = x + 12. If b = 6, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"q": "k + 11", "g": "q + 8", "s": "g + 8", "p": "s + 15", "x": "p + 7", "o": "x + 7", "u": "k + 13", "j": "u + 11", "e": "j + 4", "r": "e + 4", "h": "r + 2", "z": "h + 9", "k": 4}, "premises": {"k": 4}, "target": "o"}, "answer": {"steps": [["x", "p + 7", "p + 14"], ["p", "s + 15", "s + 29"], ["s", "g + 8", "g + 37"], ["g", "q + 8", "q + 45"], ["q", "k + 11", "k + 56"], ["k", 4, "60"]], "target_var_name": "o", "target_value": 60, "value_dict": {"k": 4}, "is_reverse": true}} | 8,117 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = q + 8; z = h + 9; s = g + 8; e = j + 4; u = k + 13; h = r + 2; k = 4; j = u + 11; p = s + 15; x = p + 7; q = k + 11; r = e + 4; o = x + 7. Given that k = 4, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = p + 7 to o, which gives o = p + 14.\n2. Substitute p = s + 15 to o, which gives o = s + 29.\n3. Substitute s = g + 8 to o, which gives o = g + 37.\n4. Substitute g = q + 8 to o, which gives o = q + 45.\n5. Substitute q = k + 11 to o, which gives o = k + 56.\n6. Substitute k = 4 to o, which gives o = 60.\n\nThus, the final answer is o = \\boxed{60}.",
"index": 8117,
"question": "Suppose a collection of variables is related by the following definitions: g = q + 8; z = h + 9; s = g + 8; e = j + 4; u = k + 13; h = r + 2; k = 4; j = u + 11; p = s + 15; x = p + 7; q = k + 11; r = e + 4; o = x + 7. Given that k = 4, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"h": "o + 19", "n": "h + 5", "k": "n + 1", "t": "k + 2", "q": "t + 12", "f": "q + 14", "m": "o + 13", "i": "m + 13", "e": "i + 8", "r": "e + 16", "w": "r + 8", "j": "w + 10", "o": 20}, "premises": {"o": 20}, "target": "f"}, "answer": {"steps": [["q", "t + 12", "t + 26"], ["t", "k + 2", "k + 28"], ["k", "n + 1", "n + 29"], ["n", "h + 5", "h + 34"], ["h", "o + 19", "o + 53"], ["o", 20, "73"]], "target_var_name": "f", "target_value": 73, "value_dict": {"o": 20}, "is_reverse": true}} | 8,118 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = t + 12; t = k + 2; m = o + 13; o = 20; j = w + 10; e = i + 8; h = o + 19; f = q + 14; r = e + 16; i = m + 13; k = n + 1; n = h + 5; w = r + 8. If o = 20, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = t + 12 to f, which gives f = t + 26.\n2. Substitute t = k + 2 to f, which gives f = k + 28.\n3. Substitute k = n + 1 to f, which gives f = n + 29.\n4. Substitute n = h + 5 to f, which gives f = h + 34.\n5. Substitute h = o + 19 to f, which gives f = o + 53.\n6. Substitute o = 20 to f, which gives f = 73.\n\nThus, the final answer is f = \\boxed{73}.",
"index": 8118,
"question": "Consider a system of variables where each variable is defined as follows: q = t + 12; t = k + 2; m = o + 13; o = 20; j = w + 10; e = i + 8; h = o + 19; f = q + 14; r = e + 16; i = m + 13; k = n + 1; n = h + 5; w = r + 8. If o = 20, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"j": "i + 8", "b": "j + 7", "o": "b + 17", "s": "o + 20", "l": "s + 19", "m": "l + 12", "d": "i + 2", "f": "d + 20", "q": "f + 10", "p": "q + 12", "t": "p + 10", "a": "t + 13", "i": 20}, "premises": {"i": 20}, "target": "m"}, "answer": {"steps": [["l", "s + 19", "s + 31"], ["s", "o + 20", "o + 51"], ["o", "b + 17", "b + 68"], ["b", "j + 7", "j + 75"], ["j", "i + 8", "i + 83"], ["i", 20, "103"]], "target_var_name": "m", "target_value": 103, "value_dict": {"i": 20}, "is_reverse": true}} | 8,119 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = i + 2; b = j + 7; t = p + 10; p = q + 12; f = d + 20; a = t + 13; q = f + 10; j = i + 8; m = l + 12; l = s + 19; s = o + 20; o = b + 17; i = 20. If i = 20, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 103,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = s + 19 to m, which gives m = s + 31.\n2. Substitute s = o + 20 to m, which gives m = o + 51.\n3. Substitute o = b + 17 to m, which gives m = b + 68.\n4. Substitute b = j + 7 to m, which gives m = j + 75.\n5. Substitute j = i + 8 to m, which gives m = i + 83.\n6. Substitute i = 20 to m, which gives m = 103.\n\nThus, the final answer is m = \\boxed{103}.",
"index": 8119,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = i + 2; b = j + 7; t = p + 10; p = q + 12; f = d + 20; a = t + 13; q = f + 10; j = i + 8; m = l + 12; l = s + 19; s = o + 20; o = b + 17; i = 20. If i = 20, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"d": "e + 11", "x": "d + 3", "u": "x + 2", "z": "u + 20", "i": "z + 17", "j": "i + 17", "o": "e + 11", "w": "o + 16", "b": "w + 17", "f": "b + 15", "n": "f + 9", "s": "n + 5", "e": 7}, "premises": {"e": 7}, "target": "j"}, "answer": {"steps": [["i", "z + 17", "z + 34"], ["z", "u + 20", "u + 54"], ["u", "x + 2", "x + 56"], ["x", "d + 3", "d + 59"], ["d", "e + 11", "e + 70"], ["e", 7, "77"]], "target_var_name": "j", "target_value": 77, "value_dict": {"e": 7}, "is_reverse": true}} | 8,120 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = i + 17; s = n + 5; u = x + 2; x = d + 3; e = 7; f = b + 15; d = e + 11; z = u + 20; w = o + 16; i = z + 17; b = w + 17; n = f + 9; o = e + 11. Given that e = 7, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = z + 17 to j, which gives j = z + 34.\n2. Substitute z = u + 20 to j, which gives j = u + 54.\n3. Substitute u = x + 2 to j, which gives j = x + 56.\n4. Substitute x = d + 3 to j, which gives j = d + 59.\n5. Substitute d = e + 11 to j, which gives j = e + 70.\n6. Substitute e = 7 to j, which gives j = 77.\n\nThus, the final answer is j = \\boxed{77}.",
"index": 8120,
"question": "Suppose a collection of variables is related by the following definitions: j = i + 17; s = n + 5; u = x + 2; x = d + 3; e = 7; f = b + 15; d = e + 11; z = u + 20; w = o + 16; i = z + 17; b = w + 17; n = f + 9; o = e + 11. Given that e = 7, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"u": "e + 2", "j": "u + 15", "s": "j + 18", "r": "s + 6", "l": "r + 4", "c": "l + 15", "o": "e + 7", "f": "o + 3", "w": "f + 14", "k": "w + 19", "i": "k + 5", "a": "i + 15", "e": 10}, "premises": {"e": 10}, "target": "c"}, "answer": {"steps": [["l", "r + 4", "r + 19"], ["r", "s + 6", "s + 25"], ["s", "j + 18", "j + 43"], ["j", "u + 15", "u + 58"], ["u", "e + 2", "e + 60"], ["e", 10, "70"]], "target_var_name": "c", "target_value": 70, "value_dict": {"e": 10}, "is_reverse": true}} | 8,121 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = e + 2; i = k + 5; c = l + 15; j = u + 15; k = w + 19; a = i + 15; e = 10; o = e + 7; l = r + 4; s = j + 18; r = s + 6; f = o + 3; w = f + 14. Given that e = 10, 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 l = r + 4 to c, which gives c = r + 19.\n2. Substitute r = s + 6 to c, which gives c = s + 25.\n3. Substitute s = j + 18 to c, which gives c = j + 43.\n4. Substitute j = u + 15 to c, which gives c = u + 58.\n5. Substitute u = e + 2 to c, which gives c = e + 60.\n6. Substitute e = 10 to c, which gives c = 70.\n\nThus, the final answer is c = \\boxed{70}.",
"index": 8121,
"question": "Suppose a collection of variables is related by the following definitions: u = e + 2; i = k + 5; c = l + 15; j = u + 15; k = w + 19; a = i + 15; e = 10; o = e + 7; l = r + 4; s = j + 18; r = s + 6; f = o + 3; w = f + 14. Given that e = 10, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"l": "u + 8", "h": "l + 8", "s": "h + 15", "q": "s + 18", "k": "q + 18", "z": "k + 12", "t": "u + 13", "m": "t + 7", "y": "m + 12", "p": "y + 16", "f": "p + 16", "n": "f + 18", "u": 15}, "premises": {"u": 15}, "target": "z"}, "answer": {"steps": [["k", "q + 18", "q + 30"], ["q", "s + 18", "s + 48"], ["s", "h + 15", "h + 63"], ["h", "l + 8", "l + 71"], ["l", "u + 8", "u + 79"], ["u", 15, "94"]], "target_var_name": "z", "target_value": 94, "value_dict": {"u": 15}, "is_reverse": true}} | 8,122 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = y + 16; z = k + 12; m = t + 7; h = l + 8; n = f + 18; s = h + 15; u = 15; q = s + 18; l = u + 8; y = m + 12; k = q + 18; t = u + 13; f = p + 16. If u = 15, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = q + 18 to z, which gives z = q + 30.\n2. Substitute q = s + 18 to z, which gives z = s + 48.\n3. Substitute s = h + 15 to z, which gives z = h + 63.\n4. Substitute h = l + 8 to z, which gives z = l + 71.\n5. Substitute l = u + 8 to z, which gives z = u + 79.\n6. Substitute u = 15 to z, which gives z = 94.\n\nThus, the final answer is z = \\boxed{94}.",
"index": 8122,
"question": "Consider a system of variables where each variable is defined as follows: p = y + 16; z = k + 12; m = t + 7; h = l + 8; n = f + 18; s = h + 15; u = 15; q = s + 18; l = u + 8; y = m + 12; k = q + 18; t = u + 13; f = p + 16. If u = 15, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"o": "m + 2", "x": "o + 17", "g": "x + 9", "n": "g + 12", "i": "n + 2", "q": "i + 14", "h": "m + 15", "s": "h + 6", "u": "s + 12", "k": "u + 17", "j": "k + 3", "f": "j + 9", "m": 6}, "premises": {"m": 6}, "target": "q"}, "answer": {"steps": [["i", "n + 2", "n + 16"], ["n", "g + 12", "g + 28"], ["g", "x + 9", "x + 37"], ["x", "o + 17", "o + 54"], ["o", "m + 2", "m + 56"], ["m", 6, "62"]], "target_var_name": "q", "target_value": 62, "value_dict": {"m": 6}, "is_reverse": true}} | 8,123 | 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 = m + 2; i = n + 2; f = j + 9; g = x + 9; s = h + 6; q = i + 14; n = g + 12; x = o + 17; u = s + 12; m = 6; h = m + 15; j = k + 3; k = u + 17. If m = 6, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = n + 2 to q, which gives q = n + 16.\n2. Substitute n = g + 12 to q, which gives q = g + 28.\n3. Substitute g = x + 9 to q, which gives q = x + 37.\n4. Substitute x = o + 17 to q, which gives q = o + 54.\n5. Substitute o = m + 2 to q, which gives q = m + 56.\n6. Substitute m = 6 to q, which gives q = 62.\n\nThus, the final answer is q = \\boxed{62}.",
"index": 8123,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = m + 2; i = n + 2; f = j + 9; g = x + 9; s = h + 6; q = i + 14; n = g + 12; x = o + 17; u = s + 12; m = 6; h = m + 15; j = k + 3; k = u + 17. If m = 6, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"p": "w + 2", "e": "p + 11", "h": "e + 13", "b": "h + 12", "m": "b + 9", "t": "m + 20", "g": "w + 20", "o": "g + 2", "u": "o + 19", "a": "u + 5", "j": "a + 19", "y": "j + 12", "w": 11}, "premises": {"w": 11}, "target": "t"}, "answer": {"steps": [["m", "b + 9", "b + 29"], ["b", "h + 12", "h + 41"], ["h", "e + 13", "e + 54"], ["e", "p + 11", "p + 65"], ["p", "w + 2", "w + 67"], ["w", 11, "78"]], "target_var_name": "t", "target_value": 78, "value_dict": {"w": 11}, "is_reverse": true}} | 8,124 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = p + 11; u = o + 19; b = h + 12; y = j + 12; j = a + 19; g = w + 20; o = g + 2; m = b + 9; w = 11; t = m + 20; a = u + 5; p = w + 2; h = e + 13. Given that w = 11, find the 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 m = b + 9 to t, which gives t = b + 29.\n2. Substitute b = h + 12 to t, which gives t = h + 41.\n3. Substitute h = e + 13 to t, which gives t = e + 54.\n4. Substitute e = p + 11 to t, which gives t = p + 65.\n5. Substitute p = w + 2 to t, which gives t = w + 67.\n6. Substitute w = 11 to t, which gives t = 78.\n\nThus, the final answer is t = \\boxed{78}.",
"index": 8124,
"question": "Suppose a collection of variables is related by the following definitions: e = p + 11; u = o + 19; b = h + 12; y = j + 12; j = a + 19; g = w + 20; o = g + 2; m = b + 9; w = 11; t = m + 20; a = u + 5; p = w + 2; h = e + 13. Given that w = 11, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"t": "r + 14", "n": "t + 13", "s": "n + 15", "d": "s + 1", "c": "d + 7", "e": "c + 15", "b": "r + 2", "v": "b + 18", "h": "v + 15", "l": "h + 1", "w": "l + 12", "o": "w + 2", "r": 13}, "premises": {"r": 13}, "target": "e"}, "answer": {"steps": [["c", "d + 7", "d + 22"], ["d", "s + 1", "s + 23"], ["s", "n + 15", "n + 38"], ["n", "t + 13", "t + 51"], ["t", "r + 14", "r + 65"], ["r", 13, "78"]], "target_var_name": "e", "target_value": 78, "value_dict": {"r": 13}, "is_reverse": true}} | 8,125 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = d + 7; e = c + 15; h = v + 15; v = b + 18; t = r + 14; r = 13; n = t + 13; w = l + 12; o = w + 2; b = r + 2; d = s + 1; l = h + 1; s = n + 15. Given that r = 13, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = d + 7 to e, which gives e = d + 22.\n2. Substitute d = s + 1 to e, which gives e = s + 23.\n3. Substitute s = n + 15 to e, which gives e = n + 38.\n4. Substitute n = t + 13 to e, which gives e = t + 51.\n5. Substitute t = r + 14 to e, which gives e = r + 65.\n6. Substitute r = 13 to e, which gives e = 78.\n\nThus, the final answer is e = \\boxed{78}.",
"index": 8125,
"question": "Suppose a collection of variables is related by the following definitions: c = d + 7; e = c + 15; h = v + 15; v = b + 18; t = r + 14; r = 13; n = t + 13; w = l + 12; o = w + 2; b = r + 2; d = s + 1; l = h + 1; s = n + 15. Given that r = 13, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"p": "u + 3", "f": "p + 2", "i": "f + 16", "h": "i + 15", "r": "h + 11", "y": "r + 7", "j": "u + 15", "d": "j + 19", "e": "d + 6", "x": "e + 17", "a": "x + 4", "q": "a + 7", "u": 3}, "premises": {"u": 3}, "target": "y"}, "answer": {"steps": [["r", "h + 11", "h + 18"], ["h", "i + 15", "i + 33"], ["i", "f + 16", "f + 49"], ["f", "p + 2", "p + 51"], ["p", "u + 3", "u + 54"], ["u", 3, "57"]], "target_var_name": "y", "target_value": 57, "value_dict": {"u": 3}, "is_reverse": true}} | 8,126 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = i + 15; a = x + 4; r = h + 11; f = p + 2; q = a + 7; d = j + 19; x = e + 17; p = u + 3; u = 3; e = d + 6; y = r + 7; j = u + 15; i = f + 16. If u = 3, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = h + 11 to y, which gives y = h + 18.\n2. Substitute h = i + 15 to y, which gives y = i + 33.\n3. Substitute i = f + 16 to y, which gives y = f + 49.\n4. Substitute f = p + 2 to y, which gives y = p + 51.\n5. Substitute p = u + 3 to y, which gives y = u + 54.\n6. Substitute u = 3 to y, which gives y = 57.\n\nThus, the final answer is y = \\boxed{57}.",
"index": 8126,
"question": "Consider a system of variables where each variable is defined as follows: h = i + 15; a = x + 4; r = h + 11; f = p + 2; q = a + 7; d = j + 19; x = e + 17; p = u + 3; u = 3; e = d + 6; y = r + 7; j = u + 15; i = f + 16. If u = 3, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"s": "p + 20", "t": "s + 14", "k": "t + 12", "n": "k + 3", "c": "n + 18", "a": "c + 13", "d": "p + 4", "z": "d + 20", "i": "z + 15", "u": "i + 17", "q": "u + 1", "m": "q + 16", "p": 8}, "premises": {"p": 8}, "target": "a"}, "answer": {"steps": [["c", "n + 18", "n + 31"], ["n", "k + 3", "k + 34"], ["k", "t + 12", "t + 46"], ["t", "s + 14", "s + 60"], ["s", "p + 20", "p + 80"], ["p", 8, "88"]], "target_var_name": "a", "target_value": 88, "value_dict": {"p": 8}, "is_reverse": true}} | 8,127 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = p + 4; s = p + 20; n = k + 3; u = i + 17; i = z + 15; p = 8; q = u + 1; c = n + 18; m = q + 16; z = d + 20; k = t + 12; a = c + 13; t = s + 14. If p = 8, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = n + 18 to a, which gives a = n + 31.\n2. Substitute n = k + 3 to a, which gives a = k + 34.\n3. Substitute k = t + 12 to a, which gives a = t + 46.\n4. Substitute t = s + 14 to a, which gives a = s + 60.\n5. Substitute s = p + 20 to a, which gives a = p + 80.\n6. Substitute p = 8 to a, which gives a = 88.\n\nThus, the final answer is a = \\boxed{88}.",
"index": 8127,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = p + 4; s = p + 20; n = k + 3; u = i + 17; i = z + 15; p = 8; q = u + 1; c = n + 18; m = q + 16; z = d + 20; k = t + 12; a = c + 13; t = s + 14. If p = 8, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"f": "p + 20", "z": "f + 1", "h": "z + 9", "w": "h + 14", "e": "w + 7", "a": "e + 11", "m": "p + 4", "q": "m + 7", "t": "q + 12", "i": "t + 3", "x": "i + 12", "b": "x + 9", "p": 5}, "premises": {"p": 5}, "target": "a"}, "answer": {"steps": [["e", "w + 7", "w + 18"], ["w", "h + 14", "h + 32"], ["h", "z + 9", "z + 41"], ["z", "f + 1", "f + 42"], ["f", "p + 20", "p + 62"], ["p", 5, "67"]], "target_var_name": "a", "target_value": 67, "value_dict": {"p": 5}, "is_reverse": true}} | 8,128 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = z + 9; i = t + 3; z = f + 1; p = 5; e = w + 7; x = i + 12; w = h + 14; b = x + 9; t = q + 12; a = e + 11; f = p + 20; m = p + 4; q = m + 7. Given that p = 5, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = w + 7 to a, which gives a = w + 18.\n2. Substitute w = h + 14 to a, which gives a = h + 32.\n3. Substitute h = z + 9 to a, which gives a = z + 41.\n4. Substitute z = f + 1 to a, which gives a = f + 42.\n5. Substitute f = p + 20 to a, which gives a = p + 62.\n6. Substitute p = 5 to a, which gives a = 67.\n\nThus, the final answer is a = \\boxed{67}.",
"index": 8128,
"question": "Suppose a collection of variables is related by the following definitions: h = z + 9; i = t + 3; z = f + 1; p = 5; e = w + 7; x = i + 12; w = h + 14; b = x + 9; t = q + 12; a = e + 11; f = p + 20; m = p + 4; q = m + 7. Given that p = 5, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"g": "v + 16", "z": "g + 18", "k": "z + 16", "q": "k + 20", "l": "q + 8", "m": "l + 14", "h": "v + 5", "u": "h + 4", "b": "u + 18", "x": "b + 12", "r": "x + 12", "a": "r + 1", "v": 20}, "premises": {"v": 20}, "target": "m"}, "answer": {"steps": [["l", "q + 8", "q + 22"], ["q", "k + 20", "k + 42"], ["k", "z + 16", "z + 58"], ["z", "g + 18", "g + 76"], ["g", "v + 16", "v + 92"], ["v", 20, "112"]], "target_var_name": "m", "target_value": 112, "value_dict": {"v": 20}, "is_reverse": true}} | 8,129 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = b + 12; h = v + 5; g = v + 16; m = l + 14; u = h + 4; q = k + 20; b = u + 18; a = r + 1; k = z + 16; l = q + 8; r = x + 12; z = g + 18; v = 20. If v = 20, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 112,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = q + 8 to m, which gives m = q + 22.\n2. Substitute q = k + 20 to m, which gives m = k + 42.\n3. Substitute k = z + 16 to m, which gives m = z + 58.\n4. Substitute z = g + 18 to m, which gives m = g + 76.\n5. Substitute g = v + 16 to m, which gives m = v + 92.\n6. Substitute v = 20 to m, which gives m = 112.\n\nThus, the final answer is m = \\boxed{112}.",
"index": 8129,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = b + 12; h = v + 5; g = v + 16; m = l + 14; u = h + 4; q = k + 20; b = u + 18; a = r + 1; k = z + 16; l = q + 8; r = x + 12; z = g + 18; v = 20. If v = 20, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"p": "w + 15", "j": "p + 11", "r": "j + 3", "k": "r + 7", "e": "k + 20", "q": "e + 13", "o": "w + 12", "y": "o + 11", "l": "y + 9", "u": "l + 18", "c": "u + 15", "i": "c + 7", "w": 6}, "premises": {"w": 6}, "target": "q"}, "answer": {"steps": [["e", "k + 20", "k + 33"], ["k", "r + 7", "r + 40"], ["r", "j + 3", "j + 43"], ["j", "p + 11", "p + 54"], ["p", "w + 15", "w + 69"], ["w", 6, "75"]], "target_var_name": "q", "target_value": 75, "value_dict": {"w": 6}, "is_reverse": true}} | 8,130 | 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 = r + 7; i = c + 7; e = k + 20; r = j + 3; c = u + 15; o = w + 12; w = 6; p = w + 15; q = e + 13; u = l + 18; l = y + 9; y = o + 11; j = p + 11. If w = 6, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = k + 20 to q, which gives q = k + 33.\n2. Substitute k = r + 7 to q, which gives q = r + 40.\n3. Substitute r = j + 3 to q, which gives q = j + 43.\n4. Substitute j = p + 11 to q, which gives q = p + 54.\n5. Substitute p = w + 15 to q, which gives q = w + 69.\n6. Substitute w = 6 to q, which gives q = 75.\n\nThus, the final answer is q = \\boxed{75}.",
"index": 8130,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = r + 7; i = c + 7; e = k + 20; r = j + 3; c = u + 15; o = w + 12; w = 6; p = w + 15; q = e + 13; u = l + 18; l = y + 9; y = o + 11; j = p + 11. If w = 6, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"s": "l + 2", "x": "s + 19", "p": "x + 18", "c": "p + 4", "v": "c + 17", "d": "v + 14", "o": "l + 17", "z": "o + 2", "u": "z + 6", "i": "u + 16", "f": "i + 5", "e": "f + 18", "l": 20}, "premises": {"l": 20}, "target": "d"}, "answer": {"steps": [["v", "c + 17", "c + 31"], ["c", "p + 4", "p + 35"], ["p", "x + 18", "x + 53"], ["x", "s + 19", "s + 72"], ["s", "l + 2", "l + 74"], ["l", 20, "94"]], "target_var_name": "d", "target_value": 94, "value_dict": {"l": 20}, "is_reverse": true}} | 8,131 | 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; x = s + 19; d = v + 14; l = 20; c = p + 4; e = f + 18; p = x + 18; f = i + 5; z = o + 2; u = z + 6; v = c + 17; o = l + 17; s = l + 2. If l = 20, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = c + 17 to d, which gives d = c + 31.\n2. Substitute c = p + 4 to d, which gives d = p + 35.\n3. Substitute p = x + 18 to d, which gives d = x + 53.\n4. Substitute x = s + 19 to d, which gives d = s + 72.\n5. Substitute s = l + 2 to d, which gives d = l + 74.\n6. Substitute l = 20 to d, which gives d = 94.\n\nThus, the final answer is d = \\boxed{94}.",
"index": 8131,
"question": "Consider a system of variables where each variable is defined as follows: i = u + 16; x = s + 19; d = v + 14; l = 20; c = p + 4; e = f + 18; p = x + 18; f = i + 5; z = o + 2; u = z + 6; v = c + 17; o = l + 17; s = l + 2. If l = 20, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"i": "j + 7", "r": "i + 13", "l": "r + 17", "h": "l + 16", "k": "h + 12", "c": "k + 20", "z": "j + 1", "n": "z + 20", "t": "n + 17", "o": "t + 10", "w": "o + 19", "v": "w + 15", "j": 20}, "premises": {"j": 20}, "target": "c"}, "answer": {"steps": [["k", "h + 12", "h + 32"], ["h", "l + 16", "l + 48"], ["l", "r + 17", "r + 65"], ["r", "i + 13", "i + 78"], ["i", "j + 7", "j + 85"], ["j", 20, "105"]], "target_var_name": "c", "target_value": 105, "value_dict": {"j": 20}, "is_reverse": true}} | 8,132 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = o + 19; n = z + 20; v = w + 15; o = t + 10; t = n + 17; z = j + 1; j = 20; h = l + 16; l = r + 17; k = h + 12; i = j + 7; c = k + 20; r = i + 13. Given that j = 20, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 105,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = h + 12 to c, which gives c = h + 32.\n2. Substitute h = l + 16 to c, which gives c = l + 48.\n3. Substitute l = r + 17 to c, which gives c = r + 65.\n4. Substitute r = i + 13 to c, which gives c = i + 78.\n5. Substitute i = j + 7 to c, which gives c = j + 85.\n6. Substitute j = 20 to c, which gives c = 105.\n\nThus, the final answer is c = \\boxed{105}.",
"index": 8132,
"question": "Suppose a collection of variables is related by the following definitions: w = o + 19; n = z + 20; v = w + 15; o = t + 10; t = n + 17; z = j + 1; j = 20; h = l + 16; l = r + 17; k = h + 12; i = j + 7; c = k + 20; r = i + 13. Given that j = 20, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"u": "a + 2", "i": "u + 19", "x": "i + 13", "v": "x + 19", "q": "v + 12", "y": "q + 13", "l": "a + 5", "h": "l + 19", "z": "h + 14", "o": "z + 5", "d": "o + 20", "s": "d + 17", "a": 8}, "premises": {"a": 8}, "target": "y"}, "answer": {"steps": [["q", "v + 12", "v + 25"], ["v", "x + 19", "x + 44"], ["x", "i + 13", "i + 57"], ["i", "u + 19", "u + 76"], ["u", "a + 2", "a + 78"], ["a", 8, "86"]], "target_var_name": "y", "target_value": 86, "value_dict": {"a": 8}, "is_reverse": true}} | 8,133 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = a + 5; h = l + 19; u = a + 2; a = 8; q = v + 12; i = u + 19; y = q + 13; o = z + 5; v = x + 19; s = d + 17; x = i + 13; z = h + 14; d = o + 20. Given that a = 8, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = v + 12 to y, which gives y = v + 25.\n2. Substitute v = x + 19 to y, which gives y = x + 44.\n3. Substitute x = i + 13 to y, which gives y = i + 57.\n4. Substitute i = u + 19 to y, which gives y = u + 76.\n5. Substitute u = a + 2 to y, which gives y = a + 78.\n6. Substitute a = 8 to y, which gives y = 86.\n\nThus, the final answer is y = \\boxed{86}.",
"index": 8133,
"question": "Suppose a collection of variables is related by the following definitions: l = a + 5; h = l + 19; u = a + 2; a = 8; q = v + 12; i = u + 19; y = q + 13; o = z + 5; v = x + 19; s = d + 17; x = i + 13; z = h + 14; d = o + 20. Given that a = 8, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"r": "t + 1", "m": "r + 5", "h": "m + 13", "n": "h + 11", "f": "n + 16", "o": "f + 4", "i": "t + 4", "d": "i + 20", "w": "d + 13", "c": "w + 2", "s": "c + 15", "y": "s + 14", "t": 20}, "premises": {"t": 20}, "target": "o"}, "answer": {"steps": [["f", "n + 16", "n + 20"], ["n", "h + 11", "h + 31"], ["h", "m + 13", "m + 44"], ["m", "r + 5", "r + 49"], ["r", "t + 1", "t + 50"], ["t", 20, "70"]], "target_var_name": "o", "target_value": 70, "value_dict": {"t": 20}, "is_reverse": true}} | 8,134 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = h + 11; o = f + 4; y = s + 14; w = d + 13; h = m + 13; t = 20; i = t + 4; f = n + 16; c = w + 2; s = c + 15; d = i + 20; m = r + 5; r = t + 1. If t = 20, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = n + 16 to o, which gives o = n + 20.\n2. Substitute n = h + 11 to o, which gives o = h + 31.\n3. Substitute h = m + 13 to o, which gives o = m + 44.\n4. Substitute m = r + 5 to o, which gives o = r + 49.\n5. Substitute r = t + 1 to o, which gives o = t + 50.\n6. Substitute t = 20 to o, which gives o = 70.\n\nThus, the final answer is o = \\boxed{70}.",
"index": 8134,
"question": "Consider a system of variables where each variable is defined as follows: n = h + 11; o = f + 4; y = s + 14; w = d + 13; h = m + 13; t = 20; i = t + 4; f = n + 16; c = w + 2; s = c + 15; d = i + 20; m = r + 5; r = t + 1. If t = 20, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"t": "j + 14", "z": "t + 11", "g": "z + 14", "h": "g + 9", "d": "h + 13", "n": "d + 2", "r": "j + 16", "i": "r + 8", "o": "i + 18", "e": "o + 13", "l": "e + 16", "f": "l + 18", "j": 14}, "premises": {"j": 14}, "target": "n"}, "answer": {"steps": [["d", "h + 13", "h + 15"], ["h", "g + 9", "g + 24"], ["g", "z + 14", "z + 38"], ["z", "t + 11", "t + 49"], ["t", "j + 14", "j + 63"], ["j", 14, "77"]], "target_var_name": "n", "target_value": 77, "value_dict": {"j": 14}, "is_reverse": true}} | 8,135 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = l + 18; n = d + 2; d = h + 13; g = z + 14; o = i + 18; h = g + 9; l = e + 16; t = j + 14; r = j + 16; j = 14; i = r + 8; z = t + 11; e = o + 13. If j = 14, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = h + 13 to n, which gives n = h + 15.\n2. Substitute h = g + 9 to n, which gives n = g + 24.\n3. Substitute g = z + 14 to n, which gives n = z + 38.\n4. Substitute z = t + 11 to n, which gives n = t + 49.\n5. Substitute t = j + 14 to n, which gives n = j + 63.\n6. Substitute j = 14 to n, which gives n = 77.\n\nThus, the final answer is n = \\boxed{77}.",
"index": 8135,
"question": "Consider a system of variables where each variable is defined as follows: f = l + 18; n = d + 2; d = h + 13; g = z + 14; o = i + 18; h = g + 9; l = e + 16; t = j + 14; r = j + 16; j = 14; i = r + 8; z = t + 11; e = o + 13. If j = 14, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"u": "p + 13", "w": "u + 16", "g": "w + 19", "d": "g + 9", "s": "d + 11", "n": "s + 2", "j": "p + 11", "l": "j + 14", "x": "l + 2", "q": "x + 12", "k": "q + 4", "h": "k + 5", "p": 11}, "premises": {"p": 11}, "target": "n"}, "answer": {"steps": [["s", "d + 11", "d + 13"], ["d", "g + 9", "g + 22"], ["g", "w + 19", "w + 41"], ["w", "u + 16", "u + 57"], ["u", "p + 13", "p + 70"], ["p", 11, "81"]], "target_var_name": "n", "target_value": 81, "value_dict": {"p": 11}, "is_reverse": true}} | 8,136 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = j + 14; j = p + 11; k = q + 4; w = u + 16; q = x + 12; u = p + 13; s = d + 11; x = l + 2; h = k + 5; p = 11; d = g + 9; n = s + 2; g = w + 19. Given that p = 11, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = d + 11 to n, which gives n = d + 13.\n2. Substitute d = g + 9 to n, which gives n = g + 22.\n3. Substitute g = w + 19 to n, which gives n = w + 41.\n4. Substitute w = u + 16 to n, which gives n = u + 57.\n5. Substitute u = p + 13 to n, which gives n = p + 70.\n6. Substitute p = 11 to n, which gives n = 81.\n\nThus, the final answer is n = \\boxed{81}.",
"index": 8136,
"question": "Suppose a collection of variables is related by the following definitions: l = j + 14; j = p + 11; k = q + 4; w = u + 16; q = x + 12; u = p + 13; s = d + 11; x = l + 2; h = k + 5; p = 11; d = g + 9; n = s + 2; g = w + 19. Given that p = 11, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"j": "h + 9", "f": "j + 6", "s": "f + 16", "v": "s + 5", "n": "v + 19", "d": "n + 13", "x": "h + 3", "b": "x + 19", "m": "b + 4", "o": "m + 13", "y": "o + 11", "i": "y + 16", "h": 13}, "premises": {"h": 13}, "target": "d"}, "answer": {"steps": [["n", "v + 19", "v + 32"], ["v", "s + 5", "s + 37"], ["s", "f + 16", "f + 53"], ["f", "j + 6", "j + 59"], ["j", "h + 9", "h + 68"], ["h", 13, "81"]], "target_var_name": "d", "target_value": 81, "value_dict": {"h": 13}, "is_reverse": true}} | 8,137 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = 13; m = b + 4; v = s + 5; f = j + 6; j = h + 9; n = v + 19; i = y + 16; x = h + 3; s = f + 16; d = n + 13; o = m + 13; y = o + 11; b = x + 19. Given that h = 13, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = v + 19 to d, which gives d = v + 32.\n2. Substitute v = s + 5 to d, which gives d = s + 37.\n3. Substitute s = f + 16 to d, which gives d = f + 53.\n4. Substitute f = j + 6 to d, which gives d = j + 59.\n5. Substitute j = h + 9 to d, which gives d = h + 68.\n6. Substitute h = 13 to d, which gives d = 81.\n\nThus, the final answer is d = \\boxed{81}.",
"index": 8137,
"question": "Suppose a collection of variables is related by the following definitions: h = 13; m = b + 4; v = s + 5; f = j + 6; j = h + 9; n = v + 19; i = y + 16; x = h + 3; s = f + 16; d = n + 13; o = m + 13; y = o + 11; b = x + 19. Given that h = 13, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"r": "k + 18", "a": "r + 17", "m": "a + 8", "w": "m + 9", "b": "w + 14", "x": "b + 1", "o": "k + 3", "h": "o + 19", "n": "h + 17", "z": "n + 4", "f": "z + 18", "s": "f + 13", "k": 3}, "premises": {"k": 3}, "target": "x"}, "answer": {"steps": [["b", "w + 14", "w + 15"], ["w", "m + 9", "m + 24"], ["m", "a + 8", "a + 32"], ["a", "r + 17", "r + 49"], ["r", "k + 18", "k + 67"], ["k", 3, "70"]], "target_var_name": "x", "target_value": 70, "value_dict": {"k": 3}, "is_reverse": true}} | 8,138 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = m + 9; k = 3; r = k + 18; a = r + 17; s = f + 13; o = k + 3; f = z + 18; n = h + 17; m = a + 8; x = b + 1; z = n + 4; b = w + 14; h = o + 19. If k = 3, determine the 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 b = w + 14 to x, which gives x = w + 15.\n2. Substitute w = m + 9 to x, which gives x = m + 24.\n3. Substitute m = a + 8 to x, which gives x = a + 32.\n4. Substitute a = r + 17 to x, which gives x = r + 49.\n5. Substitute r = k + 18 to x, which gives x = k + 67.\n6. Substitute k = 3 to x, which gives x = 70.\n\nThus, the final answer is x = \\boxed{70}.",
"index": 8138,
"question": "Consider a system of variables where each variable is defined as follows: w = m + 9; k = 3; r = k + 18; a = r + 17; s = f + 13; o = k + 3; f = z + 18; n = h + 17; m = a + 8; x = b + 1; z = n + 4; b = w + 14; h = o + 19. If k = 3, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"m": "x + 18", "c": "m + 7", "i": "c + 1", "z": "i + 19", "h": "z + 19", "k": "h + 20", "e": "x + 16", "j": "e + 20", "b": "j + 10", "w": "b + 14", "g": "w + 8", "d": "g + 5", "x": 20}, "premises": {"x": 20}, "target": "k"}, "answer": {"steps": [["h", "z + 19", "z + 39"], ["z", "i + 19", "i + 58"], ["i", "c + 1", "c + 59"], ["c", "m + 7", "m + 66"], ["m", "x + 18", "x + 84"], ["x", 20, "104"]], "target_var_name": "k", "target_value": 104, "value_dict": {"x": 20}, "is_reverse": true}} | 8,139 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = g + 5; m = x + 18; x = 20; b = j + 10; c = m + 7; h = z + 19; j = e + 20; g = w + 8; w = b + 14; i = c + 1; e = x + 16; z = i + 19; k = h + 20. If x = 20, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 104,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = z + 19 to k, which gives k = z + 39.\n2. Substitute z = i + 19 to k, which gives k = i + 58.\n3. Substitute i = c + 1 to k, which gives k = c + 59.\n4. Substitute c = m + 7 to k, which gives k = m + 66.\n5. Substitute m = x + 18 to k, which gives k = x + 84.\n6. Substitute x = 20 to k, which gives k = 104.\n\nThus, the final answer is k = \\boxed{104}.",
"index": 8139,
"question": "Consider a system of variables where each variable is defined as follows: d = g + 5; m = x + 18; x = 20; b = j + 10; c = m + 7; h = z + 19; j = e + 20; g = w + 8; w = b + 14; i = c + 1; e = x + 16; z = i + 19; k = h + 20. If x = 20, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"l": "t + 4", "f": "l + 5", "c": "f + 16", "d": "c + 8", "g": "d + 17", "y": "g + 8", "b": "t + 18", "r": "b + 4", "n": "r + 6", "i": "n + 11", "h": "i + 11", "w": "h + 1", "t": 5}, "premises": {"t": 5}, "target": "y"}, "answer": {"steps": [["g", "d + 17", "d + 25"], ["d", "c + 8", "c + 33"], ["c", "f + 16", "f + 49"], ["f", "l + 5", "l + 54"], ["l", "t + 4", "t + 58"], ["t", 5, "63"]], "target_var_name": "y", "target_value": 63, "value_dict": {"t": 5}, "is_reverse": true}} | 8,140 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = r + 6; h = i + 11; t = 5; d = c + 8; i = n + 11; l = t + 4; y = g + 8; g = d + 17; c = f + 16; f = l + 5; b = t + 18; w = h + 1; r = b + 4. If t = 5, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = d + 17 to y, which gives y = d + 25.\n2. Substitute d = c + 8 to y, which gives y = c + 33.\n3. Substitute c = f + 16 to y, which gives y = f + 49.\n4. Substitute f = l + 5 to y, which gives y = l + 54.\n5. Substitute l = t + 4 to y, which gives y = t + 58.\n6. Substitute t = 5 to y, which gives y = 63.\n\nThus, the final answer is y = \\boxed{63}.",
"index": 8140,
"question": "Consider a system of variables where each variable is defined as follows: n = r + 6; h = i + 11; t = 5; d = c + 8; i = n + 11; l = t + 4; y = g + 8; g = d + 17; c = f + 16; f = l + 5; b = t + 18; w = h + 1; r = b + 4. If t = 5, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"t": "w + 11", "x": "t + 18", "f": "x + 5", "z": "f + 15", "d": "z + 19", "k": "d + 10", "y": "w + 15", "c": "y + 14", "h": "c + 17", "m": "h + 3", "b": "m + 1", "l": "b + 14", "w": 9}, "premises": {"w": 9}, "target": "k"}, "answer": {"steps": [["d", "z + 19", "z + 29"], ["z", "f + 15", "f + 44"], ["f", "x + 5", "x + 49"], ["x", "t + 18", "t + 67"], ["t", "w + 11", "w + 78"], ["w", 9, "87"]], "target_var_name": "k", "target_value": 87, "value_dict": {"w": 9}, "is_reverse": true}} | 8,141 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = z + 19; c = y + 14; f = x + 5; h = c + 17; l = b + 14; w = 9; m = h + 3; x = t + 18; t = w + 11; b = m + 1; k = d + 10; y = w + 15; z = f + 15. If w = 9, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = z + 19 to k, which gives k = z + 29.\n2. Substitute z = f + 15 to k, which gives k = f + 44.\n3. Substitute f = x + 5 to k, which gives k = x + 49.\n4. Substitute x = t + 18 to k, which gives k = t + 67.\n5. Substitute t = w + 11 to k, which gives k = w + 78.\n6. Substitute w = 9 to k, which gives k = 87.\n\nThus, the final answer is k = \\boxed{87}.",
"index": 8141,
"question": "Consider a system of variables where each variable is defined as follows: d = z + 19; c = y + 14; f = x + 5; h = c + 17; l = b + 14; w = 9; m = h + 3; x = t + 18; t = w + 11; b = m + 1; k = d + 10; y = w + 15; z = f + 15. If w = 9, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"d": "m + 9", "l": "d + 10", "u": "l + 17", "y": "u + 12", "j": "y + 18", "v": "j + 8", "s": "m + 20", "w": "s + 14", "q": "w + 12", "a": "q + 15", "o": "a + 12", "p": "o + 19", "m": 15}, "premises": {"m": 15}, "target": "v"}, "answer": {"steps": [["j", "y + 18", "y + 26"], ["y", "u + 12", "u + 38"], ["u", "l + 17", "l + 55"], ["l", "d + 10", "d + 65"], ["d", "m + 9", "m + 74"], ["m", 15, "89"]], "target_var_name": "v", "target_value": 89, "value_dict": {"m": 15}, "is_reverse": true}} | 8,142 | 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 = w + 12; l = d + 10; y = u + 12; w = s + 14; s = m + 20; v = j + 8; p = o + 19; a = q + 15; o = a + 12; d = m + 9; j = y + 18; m = 15; u = l + 17. If m = 15, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = y + 18 to v, which gives v = y + 26.\n2. Substitute y = u + 12 to v, which gives v = u + 38.\n3. Substitute u = l + 17 to v, which gives v = l + 55.\n4. Substitute l = d + 10 to v, which gives v = d + 65.\n5. Substitute d = m + 9 to v, which gives v = m + 74.\n6. Substitute m = 15 to v, which gives v = 89.\n\nThus, the final answer is v = \\boxed{89}.",
"index": 8142,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = w + 12; l = d + 10; y = u + 12; w = s + 14; s = m + 20; v = j + 8; p = o + 19; a = q + 15; o = a + 12; d = m + 9; j = y + 18; m = 15; u = l + 17. If m = 15, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"a": "z + 2", "n": "a + 5", "j": "n + 10", "k": "j + 7", "p": "k + 6", "m": "p + 4", "l": "z + 18", "s": "l + 4", "g": "s + 2", "i": "g + 11", "t": "i + 9", "h": "t + 1", "z": 7}, "premises": {"z": 7}, "target": "m"}, "answer": {"steps": [["p", "k + 6", "k + 10"], ["k", "j + 7", "j + 17"], ["j", "n + 10", "n + 27"], ["n", "a + 5", "a + 32"], ["a", "z + 2", "z + 34"], ["z", 7, "41"]], "target_var_name": "m", "target_value": 41, "value_dict": {"z": 7}, "is_reverse": true}} | 8,143 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = j + 7; l = z + 18; m = p + 4; s = l + 4; p = k + 6; n = a + 5; a = z + 2; h = t + 1; j = n + 10; g = s + 2; z = 7; t = i + 9; i = g + 11. If z = 7, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 41,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = k + 6 to m, which gives m = k + 10.\n2. Substitute k = j + 7 to m, which gives m = j + 17.\n3. Substitute j = n + 10 to m, which gives m = n + 27.\n4. Substitute n = a + 5 to m, which gives m = a + 32.\n5. Substitute a = z + 2 to m, which gives m = z + 34.\n6. Substitute z = 7 to m, which gives m = 41.\n\nThus, the final answer is m = \\boxed{41}.",
"index": 8143,
"question": "Consider a system of variables where each variable is defined as follows: k = j + 7; l = z + 18; m = p + 4; s = l + 4; p = k + 6; n = a + 5; a = z + 2; h = t + 1; j = n + 10; g = s + 2; z = 7; t = i + 9; i = g + 11. If z = 7, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"r": "s + 3", "z": "r + 3", "e": "z + 16", "k": "e + 1", "j": "k + 11", "v": "j + 6", "i": "s + 14", "c": "i + 7", "p": "c + 9", "a": "p + 3", "f": "a + 4", "l": "f + 10", "s": 4}, "premises": {"s": 4}, "target": "v"}, "answer": {"steps": [["j", "k + 11", "k + 17"], ["k", "e + 1", "e + 18"], ["e", "z + 16", "z + 34"], ["z", "r + 3", "r + 37"], ["r", "s + 3", "s + 40"], ["s", 4, "44"]], "target_var_name": "v", "target_value": 44, "value_dict": {"s": 4}, "is_reverse": true}} | 8,144 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = 4; p = c + 9; e = z + 16; v = j + 6; r = s + 3; j = k + 11; a = p + 3; k = e + 1; l = f + 10; f = a + 4; c = i + 7; z = r + 3; i = s + 14. Given that s = 4, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 44,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = k + 11 to v, which gives v = k + 17.\n2. Substitute k = e + 1 to v, which gives v = e + 18.\n3. Substitute e = z + 16 to v, which gives v = z + 34.\n4. Substitute z = r + 3 to v, which gives v = r + 37.\n5. Substitute r = s + 3 to v, which gives v = s + 40.\n6. Substitute s = 4 to v, which gives v = 44.\n\nThus, the final answer is v = \\boxed{44}.",
"index": 8144,
"question": "Suppose a collection of variables is related by the following definitions: s = 4; p = c + 9; e = z + 16; v = j + 6; r = s + 3; j = k + 11; a = p + 3; k = e + 1; l = f + 10; f = a + 4; c = i + 7; z = r + 3; i = s + 14. Given that s = 4, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"n": "q + 2", "c": "n + 8", "a": "c + 9", "u": "a + 11", "h": "u + 1", "s": "h + 20", "d": "q + 7", "e": "d + 10", "f": "e + 13", "i": "f + 9", "g": "i + 9", "v": "g + 13", "q": 17}, "premises": {"q": 17}, "target": "s"}, "answer": {"steps": [["h", "u + 1", "u + 21"], ["u", "a + 11", "a + 32"], ["a", "c + 9", "c + 41"], ["c", "n + 8", "n + 49"], ["n", "q + 2", "q + 51"], ["q", 17, "68"]], "target_var_name": "s", "target_value": 68, "value_dict": {"q": 17}, "is_reverse": true}} | 8,145 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = q + 7; a = c + 9; u = a + 11; n = q + 2; v = g + 13; h = u + 1; f = e + 13; e = d + 10; i = f + 9; g = i + 9; c = n + 8; s = h + 20; q = 17. If q = 17, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = u + 1 to s, which gives s = u + 21.\n2. Substitute u = a + 11 to s, which gives s = a + 32.\n3. Substitute a = c + 9 to s, which gives s = c + 41.\n4. Substitute c = n + 8 to s, which gives s = n + 49.\n5. Substitute n = q + 2 to s, which gives s = q + 51.\n6. Substitute q = 17 to s, which gives s = 68.\n\nThus, the final answer is s = \\boxed{68}.",
"index": 8145,
"question": "Consider a system of variables where each variable is defined as follows: d = q + 7; a = c + 9; u = a + 11; n = q + 2; v = g + 13; h = u + 1; f = e + 13; e = d + 10; i = f + 9; g = i + 9; c = n + 8; s = h + 20; q = 17. If q = 17, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"q": "l + 15", "c": "q + 11", "p": "c + 3", "t": "p + 13", "o": "t + 12", "a": "o + 14", "j": "l + 18", "d": "j + 1", "k": "d + 9", "s": "k + 3", "f": "s + 18", "u": "f + 11", "l": 7}, "premises": {"l": 7}, "target": "a"}, "answer": {"steps": [["o", "t + 12", "t + 26"], ["t", "p + 13", "p + 39"], ["p", "c + 3", "c + 42"], ["c", "q + 11", "q + 53"], ["q", "l + 15", "l + 68"], ["l", 7, "75"]], "target_var_name": "a", "target_value": 75, "value_dict": {"l": 7}, "is_reverse": true}} | 8,146 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = q + 11; q = l + 15; p = c + 3; d = j + 1; j = l + 18; a = o + 14; t = p + 13; o = t + 12; l = 7; f = s + 18; s = k + 3; k = d + 9; u = f + 11. Given that l = 7, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = t + 12 to a, which gives a = t + 26.\n2. Substitute t = p + 13 to a, which gives a = p + 39.\n3. Substitute p = c + 3 to a, which gives a = c + 42.\n4. Substitute c = q + 11 to a, which gives a = q + 53.\n5. Substitute q = l + 15 to a, which gives a = l + 68.\n6. Substitute l = 7 to a, which gives a = 75.\n\nThus, the final answer is a = \\boxed{75}.",
"index": 8146,
"question": "Suppose a collection of variables is related by the following definitions: c = q + 11; q = l + 15; p = c + 3; d = j + 1; j = l + 18; a = o + 14; t = p + 13; o = t + 12; l = 7; f = s + 18; s = k + 3; k = d + 9; u = f + 11. Given that l = 7, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"r": "l + 16", "s": "r + 5", "x": "s + 4", "g": "x + 17", "d": "g + 3", "u": "d + 12", "v": "l + 5", "m": "v + 12", "i": "m + 8", "w": "i + 20", "z": "w + 5", "e": "z + 2", "l": 1}, "premises": {"l": 1}, "target": "u"}, "answer": {"steps": [["d", "g + 3", "g + 15"], ["g", "x + 17", "x + 32"], ["x", "s + 4", "s + 36"], ["s", "r + 5", "r + 41"], ["r", "l + 16", "l + 57"], ["l", 1, "58"]], "target_var_name": "u", "target_value": 58, "value_dict": {"l": 1}, "is_reverse": true}} | 8,147 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = w + 5; g = x + 17; v = l + 5; u = d + 12; w = i + 20; l = 1; x = s + 4; d = g + 3; i = m + 8; r = l + 16; e = z + 2; m = v + 12; s = r + 5. Given that l = 1, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = g + 3 to u, which gives u = g + 15.\n2. Substitute g = x + 17 to u, which gives u = x + 32.\n3. Substitute x = s + 4 to u, which gives u = s + 36.\n4. Substitute s = r + 5 to u, which gives u = r + 41.\n5. Substitute r = l + 16 to u, which gives u = l + 57.\n6. Substitute l = 1 to u, which gives u = 58.\n\nThus, the final answer is u = \\boxed{58}.",
"index": 8147,
"question": "Suppose a collection of variables is related by the following definitions: z = w + 5; g = x + 17; v = l + 5; u = d + 12; w = i + 20; l = 1; x = s + 4; d = g + 3; i = m + 8; r = l + 16; e = z + 2; m = v + 12; s = r + 5. Given that l = 1, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"p": "z + 14", "u": "p + 11", "r": "u + 9", "v": "r + 17", "d": "v + 6", "l": "d + 13", "e": "z + 5", "i": "e + 5", "x": "i + 18", "m": "x + 7", "c": "m + 16", "j": "c + 12", "z": 13}, "premises": {"z": 13}, "target": "l"}, "answer": {"steps": [["d", "v + 6", "v + 19"], ["v", "r + 17", "r + 36"], ["r", "u + 9", "u + 45"], ["u", "p + 11", "p + 56"], ["p", "z + 14", "z + 70"], ["z", 13, "83"]], "target_var_name": "l", "target_value": 83, "value_dict": {"z": 13}, "is_reverse": true}} | 8,148 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = e + 5; x = i + 18; v = r + 17; u = p + 11; z = 13; e = z + 5; r = u + 9; l = d + 13; c = m + 16; j = c + 12; d = v + 6; m = x + 7; p = z + 14. Given that z = 13, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = v + 6 to l, which gives l = v + 19.\n2. Substitute v = r + 17 to l, which gives l = r + 36.\n3. Substitute r = u + 9 to l, which gives l = u + 45.\n4. Substitute u = p + 11 to l, which gives l = p + 56.\n5. Substitute p = z + 14 to l, which gives l = z + 70.\n6. Substitute z = 13 to l, which gives l = 83.\n\nThus, the final answer is l = \\boxed{83}.",
"index": 8148,
"question": "Suppose a collection of variables is related by the following definitions: i = e + 5; x = i + 18; v = r + 17; u = p + 11; z = 13; e = z + 5; r = u + 9; l = d + 13; c = m + 16; j = c + 12; d = v + 6; m = x + 7; p = z + 14. Given that z = 13, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"t": "q + 16", "h": "t + 3", "r": "h + 3", "o": "r + 19", "k": "o + 15", "z": "k + 5", "c": "q + 16", "u": "c + 5", "i": "u + 1", "e": "i + 1", "p": "e + 16", "b": "p + 19", "q": 16}, "premises": {"q": 16}, "target": "z"}, "answer": {"steps": [["k", "o + 15", "o + 20"], ["o", "r + 19", "r + 39"], ["r", "h + 3", "h + 42"], ["h", "t + 3", "t + 45"], ["t", "q + 16", "q + 61"], ["q", 16, "77"]], "target_var_name": "z", "target_value": 77, "value_dict": {"q": 16}, "is_reverse": true}} | 8,149 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = p + 19; h = t + 3; k = o + 15; z = k + 5; e = i + 1; t = q + 16; i = u + 1; q = 16; u = c + 5; c = q + 16; r = h + 3; o = r + 19; p = e + 16. If q = 16, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = o + 15 to z, which gives z = o + 20.\n2. Substitute o = r + 19 to z, which gives z = r + 39.\n3. Substitute r = h + 3 to z, which gives z = h + 42.\n4. Substitute h = t + 3 to z, which gives z = t + 45.\n5. Substitute t = q + 16 to z, which gives z = q + 61.\n6. Substitute q = 16 to z, which gives z = 77.\n\nThus, the final answer is z = \\boxed{77}.",
"index": 8149,
"question": "Consider a system of variables where each variable is defined as follows: b = p + 19; h = t + 3; k = o + 15; z = k + 5; e = i + 1; t = q + 16; i = u + 1; q = 16; u = c + 5; c = q + 16; r = h + 3; o = r + 19; p = e + 16. If q = 16, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"i": "c + 8", "m": "i + 6", "e": "m + 5", "l": "e + 17", "o": "l + 6", "u": "o + 3", "a": "c + 16", "n": "a + 10", "y": "n + 17", "p": "y + 13", "t": "p + 6", "x": "t + 16", "c": 6}, "premises": {"c": 6}, "target": "u"}, "answer": {"steps": [["o", "l + 6", "l + 9"], ["l", "e + 17", "e + 26"], ["e", "m + 5", "m + 31"], ["m", "i + 6", "i + 37"], ["i", "c + 8", "c + 45"], ["c", 6, "51"]], "target_var_name": "u", "target_value": 51, "value_dict": {"c": 6}, "is_reverse": true}} | 8,150 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = m + 5; a = c + 16; x = t + 16; c = 6; l = e + 17; m = i + 6; n = a + 10; p = y + 13; i = c + 8; o = l + 6; y = n + 17; u = o + 3; t = p + 6. If c = 6, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = l + 6 to u, which gives u = l + 9.\n2. Substitute l = e + 17 to u, which gives u = e + 26.\n3. Substitute e = m + 5 to u, which gives u = m + 31.\n4. Substitute m = i + 6 to u, which gives u = i + 37.\n5. Substitute i = c + 8 to u, which gives u = c + 45.\n6. Substitute c = 6 to u, which gives u = 51.\n\nThus, the final answer is u = \\boxed{51}.",
"index": 8150,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = m + 5; a = c + 16; x = t + 16; c = 6; l = e + 17; m = i + 6; n = a + 10; p = y + 13; i = c + 8; o = l + 6; y = n + 17; u = o + 3; t = p + 6. If c = 6, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"e": "c + 16", "a": "e + 18", "w": "a + 16", "l": "w + 14", "p": "l + 20", "z": "p + 1", "m": "c + 10", "u": "m + 17", "s": "u + 8", "t": "s + 18", "q": "t + 3", "x": "q + 5", "c": 11}, "premises": {"c": 11}, "target": "z"}, "answer": {"steps": [["p", "l + 20", "l + 21"], ["l", "w + 14", "w + 35"], ["w", "a + 16", "a + 51"], ["a", "e + 18", "e + 69"], ["e", "c + 16", "c + 85"], ["c", 11, "96"]], "target_var_name": "z", "target_value": 96, "value_dict": {"c": 11}, "is_reverse": true}} | 8,151 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = u + 8; w = a + 16; t = s + 18; x = q + 5; m = c + 10; p = l + 20; e = c + 16; z = p + 1; l = w + 14; c = 11; u = m + 17; q = t + 3; a = e + 18. If c = 11, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = l + 20 to z, which gives z = l + 21.\n2. Substitute l = w + 14 to z, which gives z = w + 35.\n3. Substitute w = a + 16 to z, which gives z = a + 51.\n4. Substitute a = e + 18 to z, which gives z = e + 69.\n5. Substitute e = c + 16 to z, which gives z = c + 85.\n6. Substitute c = 11 to z, which gives z = 96.\n\nThus, the final answer is z = \\boxed{96}.",
"index": 8151,
"question": "Consider a system of variables where each variable is defined as follows: s = u + 8; w = a + 16; t = s + 18; x = q + 5; m = c + 10; p = l + 20; e = c + 16; z = p + 1; l = w + 14; c = 11; u = m + 17; q = t + 3; a = e + 18. If c = 11, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"r": "p + 7", "e": "r + 16", "i": "e + 12", "t": "i + 6", "s": "t + 8", "m": "s + 12", "w": "p + 18", "o": "w + 7", "g": "o + 4", "n": "g + 16", "a": "n + 7", "b": "a + 16", "p": 11}, "premises": {"p": 11}, "target": "m"}, "answer": {"steps": [["s", "t + 8", "t + 20"], ["t", "i + 6", "i + 26"], ["i", "e + 12", "e + 38"], ["e", "r + 16", "r + 54"], ["r", "p + 7", "p + 61"], ["p", 11, "72"]], "target_var_name": "m", "target_value": 72, "value_dict": {"p": 11}, "is_reverse": true}} | 8,152 | 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 = t + 8; p = 11; n = g + 16; a = n + 7; e = r + 16; b = a + 16; o = w + 7; r = p + 7; w = p + 18; t = i + 6; m = s + 12; i = e + 12; g = o + 4. If p = 11, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = t + 8 to m, which gives m = t + 20.\n2. Substitute t = i + 6 to m, which gives m = i + 26.\n3. Substitute i = e + 12 to m, which gives m = e + 38.\n4. Substitute e = r + 16 to m, which gives m = r + 54.\n5. Substitute r = p + 7 to m, which gives m = p + 61.\n6. Substitute p = 11 to m, which gives m = 72.\n\nThus, the final answer is m = \\boxed{72}.",
"index": 8152,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = t + 8; p = 11; n = g + 16; a = n + 7; e = r + 16; b = a + 16; o = w + 7; r = p + 7; w = p + 18; t = i + 6; m = s + 12; i = e + 12; g = o + 4. If p = 11, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"l": "a + 18", "o": "l + 6", "v": "o + 18", "n": "v + 20", "t": "n + 12", "q": "t + 8", "d": "a + 16", "h": "d + 5", "b": "h + 4", "p": "b + 16", "f": "p + 16", "j": "f + 3", "a": 5}, "premises": {"a": 5}, "target": "q"}, "answer": {"steps": [["t", "n + 12", "n + 20"], ["n", "v + 20", "v + 40"], ["v", "o + 18", "o + 58"], ["o", "l + 6", "l + 64"], ["l", "a + 18", "a + 82"], ["a", 5, "87"]], "target_var_name": "q", "target_value": 87, "value_dict": {"a": 5}, "is_reverse": true}} | 8,153 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = a + 16; f = p + 16; o = l + 6; h = d + 5; v = o + 18; p = b + 16; q = t + 8; n = v + 20; t = n + 12; b = h + 4; a = 5; j = f + 3; l = a + 18. Given that a = 5, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = n + 12 to q, which gives q = n + 20.\n2. Substitute n = v + 20 to q, which gives q = v + 40.\n3. Substitute v = o + 18 to q, which gives q = o + 58.\n4. Substitute o = l + 6 to q, which gives q = l + 64.\n5. Substitute l = a + 18 to q, which gives q = a + 82.\n6. Substitute a = 5 to q, which gives q = 87.\n\nThus, the final answer is q = \\boxed{87}.",
"index": 8153,
"question": "Suppose a collection of variables is related by the following definitions: d = a + 16; f = p + 16; o = l + 6; h = d + 5; v = o + 18; p = b + 16; q = t + 8; n = v + 20; t = n + 12; b = h + 4; a = 5; j = f + 3; l = a + 18. Given that a = 5, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"r": "w + 16", "g": "r + 5", "a": "g + 1", "t": "a + 4", "f": "t + 10", "v": "f + 4", "p": "w + 16", "x": "p + 7", "o": "x + 1", "c": "o + 3", "n": "c + 15", "q": "n + 13", "w": 19}, "premises": {"w": 19}, "target": "v"}, "answer": {"steps": [["f", "t + 10", "t + 14"], ["t", "a + 4", "a + 18"], ["a", "g + 1", "g + 19"], ["g", "r + 5", "r + 24"], ["r", "w + 16", "w + 40"], ["w", 19, "59"]], "target_var_name": "v", "target_value": 59, "value_dict": {"w": 19}, "is_reverse": true}} | 8,154 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = t + 10; w = 19; x = p + 7; n = c + 15; p = w + 16; t = a + 4; r = w + 16; g = r + 5; a = g + 1; o = x + 1; v = f + 4; q = n + 13; c = o + 3. If w = 19, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = t + 10 to v, which gives v = t + 14.\n2. Substitute t = a + 4 to v, which gives v = a + 18.\n3. Substitute a = g + 1 to v, which gives v = g + 19.\n4. Substitute g = r + 5 to v, which gives v = r + 24.\n5. Substitute r = w + 16 to v, which gives v = w + 40.\n6. Substitute w = 19 to v, which gives v = 59.\n\nThus, the final answer is v = \\boxed{59}.",
"index": 8154,
"question": "Consider a system of variables where each variable is defined as follows: f = t + 10; w = 19; x = p + 7; n = c + 15; p = w + 16; t = a + 4; r = w + 16; g = r + 5; a = g + 1; o = x + 1; v = f + 4; q = n + 13; c = o + 3. If w = 19, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"b": "m + 18", "q": "b + 9", "s": "q + 7", "l": "s + 17", "w": "l + 8", "g": "w + 4", "h": "m + 8", "n": "h + 8", "j": "n + 11", "k": "j + 9", "i": "k + 15", "z": "i + 18", "m": 2}, "premises": {"m": 2}, "target": "g"}, "answer": {"steps": [["w", "l + 8", "l + 12"], ["l", "s + 17", "s + 29"], ["s", "q + 7", "q + 36"], ["q", "b + 9", "b + 45"], ["b", "m + 18", "m + 63"], ["m", 2, "65"]], "target_var_name": "g", "target_value": 65, "value_dict": {"m": 2}, "is_reverse": true}} | 8,155 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = h + 8; l = s + 17; h = m + 8; j = n + 11; k = j + 9; z = i + 18; m = 2; w = l + 8; i = k + 15; b = m + 18; g = w + 4; q = b + 9; s = q + 7. If m = 2, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = l + 8 to g, which gives g = l + 12.\n2. Substitute l = s + 17 to g, which gives g = s + 29.\n3. Substitute s = q + 7 to g, which gives g = q + 36.\n4. Substitute q = b + 9 to g, which gives g = b + 45.\n5. Substitute b = m + 18 to g, which gives g = m + 63.\n6. Substitute m = 2 to g, which gives g = 65.\n\nThus, the final answer is g = \\boxed{65}.",
"index": 8155,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = h + 8; l = s + 17; h = m + 8; j = n + 11; k = j + 9; z = i + 18; m = 2; w = l + 8; i = k + 15; b = m + 18; g = w + 4; q = b + 9; s = q + 7. If m = 2, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"t": "k + 1", "u": "t + 15", "m": "u + 13", "j": "m + 20", "r": "j + 3", "e": "r + 18", "h": "k + 14", "f": "h + 20", "b": "f + 5", "o": "b + 13", "d": "o + 18", "c": "d + 10", "k": 6}, "premises": {"k": 6}, "target": "e"}, "answer": {"steps": [["r", "j + 3", "j + 21"], ["j", "m + 20", "m + 41"], ["m", "u + 13", "u + 54"], ["u", "t + 15", "t + 69"], ["t", "k + 1", "k + 70"], ["k", 6, "76"]], "target_var_name": "e", "target_value": 76, "value_dict": {"k": 6}, "is_reverse": true}} | 8,156 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = 6; c = d + 10; b = f + 5; o = b + 13; h = k + 14; t = k + 1; e = r + 18; m = u + 13; r = j + 3; d = o + 18; u = t + 15; f = h + 20; j = m + 20. Given that k = 6, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = j + 3 to e, which gives e = j + 21.\n2. Substitute j = m + 20 to e, which gives e = m + 41.\n3. Substitute m = u + 13 to e, which gives e = u + 54.\n4. Substitute u = t + 15 to e, which gives e = t + 69.\n5. Substitute t = k + 1 to e, which gives e = k + 70.\n6. Substitute k = 6 to e, which gives e = 76.\n\nThus, the final answer is e = \\boxed{76}.",
"index": 8156,
"question": "Suppose a collection of variables is related by the following definitions: k = 6; c = d + 10; b = f + 5; o = b + 13; h = k + 14; t = k + 1; e = r + 18; m = u + 13; r = j + 3; d = o + 18; u = t + 15; f = h + 20; j = m + 20. Given that k = 6, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"c": "j + 3", "n": "c + 8", "u": "n + 20", "s": "u + 1", "z": "s + 3", "o": "z + 11", "g": "j + 20", "h": "g + 20", "x": "h + 7", "w": "x + 7", "f": "w + 13", "q": "f + 14", "j": 20}, "premises": {"j": 20}, "target": "o"}, "answer": {"steps": [["z", "s + 3", "s + 14"], ["s", "u + 1", "u + 15"], ["u", "n + 20", "n + 35"], ["n", "c + 8", "c + 43"], ["c", "j + 3", "j + 46"], ["j", 20, "66"]], "target_var_name": "o", "target_value": 66, "value_dict": {"j": 20}, "is_reverse": true}} | 8,157 | 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 = j + 20; j = 20; f = w + 13; x = h + 7; o = z + 11; s = u + 1; h = g + 20; n = c + 8; q = f + 14; u = n + 20; c = j + 3; z = s + 3; w = x + 7. If j = 20, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = s + 3 to o, which gives o = s + 14.\n2. Substitute s = u + 1 to o, which gives o = u + 15.\n3. Substitute u = n + 20 to o, which gives o = n + 35.\n4. Substitute n = c + 8 to o, which gives o = c + 43.\n5. Substitute c = j + 3 to o, which gives o = j + 46.\n6. Substitute j = 20 to o, which gives o = 66.\n\nThus, the final answer is o = \\boxed{66}.",
"index": 8157,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = j + 20; j = 20; f = w + 13; x = h + 7; o = z + 11; s = u + 1; h = g + 20; n = c + 8; q = f + 14; u = n + 20; c = j + 3; z = s + 3; w = x + 7. If j = 20, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"d": "z + 3", "q": "d + 10", "f": "q + 19", "k": "f + 8", "i": "k + 12", "l": "i + 8", "p": "z + 8", "r": "p + 5", "t": "r + 19", "m": "t + 7", "c": "m + 9", "j": "c + 16", "z": 9}, "premises": {"z": 9}, "target": "l"}, "answer": {"steps": [["i", "k + 12", "k + 20"], ["k", "f + 8", "f + 28"], ["f", "q + 19", "q + 47"], ["q", "d + 10", "d + 57"], ["d", "z + 3", "z + 60"], ["z", 9, "69"]], "target_var_name": "l", "target_value": 69, "value_dict": {"z": 9}, "is_reverse": true}} | 8,158 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = t + 7; r = p + 5; c = m + 9; k = f + 8; f = q + 19; q = d + 10; z = 9; i = k + 12; j = c + 16; p = z + 8; t = r + 19; l = i + 8; d = z + 3. If z = 9, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = k + 12 to l, which gives l = k + 20.\n2. Substitute k = f + 8 to l, which gives l = f + 28.\n3. Substitute f = q + 19 to l, which gives l = q + 47.\n4. Substitute q = d + 10 to l, which gives l = d + 57.\n5. Substitute d = z + 3 to l, which gives l = z + 60.\n6. Substitute z = 9 to l, which gives l = 69.\n\nThus, the final answer is l = \\boxed{69}.",
"index": 8158,
"question": "Consider a system of variables where each variable is defined as follows: m = t + 7; r = p + 5; c = m + 9; k = f + 8; f = q + 19; q = d + 10; z = 9; i = k + 12; j = c + 16; p = z + 8; t = r + 19; l = i + 8; d = z + 3. If z = 9, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"k": "p + 12", "v": "k + 17", "r": "v + 4", "e": "r + 19", "a": "e + 3", "m": "a + 8", "y": "p + 9", "j": "y + 2", "c": "j + 14", "w": "c + 16", "z": "w + 7", "s": "z + 15", "p": 18}, "premises": {"p": 18}, "target": "m"}, "answer": {"steps": [["a", "e + 3", "e + 11"], ["e", "r + 19", "r + 30"], ["r", "v + 4", "v + 34"], ["v", "k + 17", "k + 51"], ["k", "p + 12", "p + 63"], ["p", 18, "81"]], "target_var_name": "m", "target_value": 81, "value_dict": {"p": 18}, "is_reverse": true}} | 8,159 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = e + 3; z = w + 7; m = a + 8; v = k + 17; k = p + 12; j = y + 2; w = c + 16; y = p + 9; e = r + 19; p = 18; s = z + 15; c = j + 14; r = v + 4. If p = 18, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = e + 3 to m, which gives m = e + 11.\n2. Substitute e = r + 19 to m, which gives m = r + 30.\n3. Substitute r = v + 4 to m, which gives m = v + 34.\n4. Substitute v = k + 17 to m, which gives m = k + 51.\n5. Substitute k = p + 12 to m, which gives m = p + 63.\n6. Substitute p = 18 to m, which gives m = 81.\n\nThus, the final answer is m = \\boxed{81}.",
"index": 8159,
"question": "Consider a system of variables where each variable is defined as follows: a = e + 3; z = w + 7; m = a + 8; v = k + 17; k = p + 12; j = y + 2; w = c + 16; y = p + 9; e = r + 19; p = 18; s = z + 15; c = j + 14; r = v + 4. If p = 18, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"y": "p + 15", "a": "y + 1", "z": "a + 13", "h": "z + 10", "c": "h + 2", "x": "c + 9", "l": "p + 20", "i": "l + 9", "k": "i + 19", "u": "k + 19", "w": "u + 14", "b": "w + 11", "p": 2}, "premises": {"p": 2}, "target": "x"}, "answer": {"steps": [["c", "h + 2", "h + 11"], ["h", "z + 10", "z + 21"], ["z", "a + 13", "a + 34"], ["a", "y + 1", "y + 35"], ["y", "p + 15", "p + 50"], ["p", 2, "52"]], "target_var_name": "x", "target_value": 52, "value_dict": {"p": 2}, "is_reverse": true}} | 8,160 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = i + 19; y = p + 15; u = k + 19; z = a + 13; l = p + 20; b = w + 11; a = y + 1; h = z + 10; w = u + 14; p = 2; i = l + 9; c = h + 2; x = c + 9. Given that p = 2, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = h + 2 to x, which gives x = h + 11.\n2. Substitute h = z + 10 to x, which gives x = z + 21.\n3. Substitute z = a + 13 to x, which gives x = a + 34.\n4. Substitute a = y + 1 to x, which gives x = y + 35.\n5. Substitute y = p + 15 to x, which gives x = p + 50.\n6. Substitute p = 2 to x, which gives x = 52.\n\nThus, the final answer is x = \\boxed{52}.",
"index": 8160,
"question": "Suppose a collection of variables is related by the following definitions: k = i + 19; y = p + 15; u = k + 19; z = a + 13; l = p + 20; b = w + 11; a = y + 1; h = z + 10; w = u + 14; p = 2; i = l + 9; c = h + 2; x = c + 9. Given that p = 2, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"c": "q + 7", "r": "c + 8", "n": "r + 10", "j": "n + 7", "s": "j + 15", "i": "s + 9", "x": "q + 3", "b": "x + 1", "w": "b + 3", "l": "w + 10", "u": "l + 19", "f": "u + 2", "q": 13}, "premises": {"q": 13}, "target": "i"}, "answer": {"steps": [["s", "j + 15", "j + 24"], ["j", "n + 7", "n + 31"], ["n", "r + 10", "r + 41"], ["r", "c + 8", "c + 49"], ["c", "q + 7", "q + 56"], ["q", 13, "69"]], "target_var_name": "i", "target_value": 69, "value_dict": {"q": 13}, "is_reverse": true}} | 8,161 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = s + 9; l = w + 10; b = x + 1; c = q + 7; s = j + 15; w = b + 3; n = r + 10; j = n + 7; r = c + 8; x = q + 3; f = u + 2; q = 13; u = l + 19. Given that q = 13, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = j + 15 to i, which gives i = j + 24.\n2. Substitute j = n + 7 to i, which gives i = n + 31.\n3. Substitute n = r + 10 to i, which gives i = r + 41.\n4. Substitute r = c + 8 to i, which gives i = c + 49.\n5. Substitute c = q + 7 to i, which gives i = q + 56.\n6. Substitute q = 13 to i, which gives i = 69.\n\nThus, the final answer is i = \\boxed{69}.",
"index": 8161,
"question": "Suppose a collection of variables is related by the following definitions: i = s + 9; l = w + 10; b = x + 1; c = q + 7; s = j + 15; w = b + 3; n = r + 10; j = n + 7; r = c + 8; x = q + 3; f = u + 2; q = 13; u = l + 19. Given that q = 13, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"w": "k + 11", "r": "w + 4", "b": "r + 2", "o": "b + 4", "j": "o + 5", "d": "j + 14", "q": "k + 2", "m": "q + 5", "x": "m + 3", "s": "x + 9", "t": "s + 5", "c": "t + 14", "k": 18}, "premises": {"k": 18}, "target": "d"}, "answer": {"steps": [["j", "o + 5", "o + 19"], ["o", "b + 4", "b + 23"], ["b", "r + 2", "r + 25"], ["r", "w + 4", "w + 29"], ["w", "k + 11", "k + 40"], ["k", 18, "58"]], "target_var_name": "d", "target_value": 58, "value_dict": {"k": 18}, "is_reverse": true}} | 8,162 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = x + 9; d = j + 14; m = q + 5; j = o + 5; w = k + 11; o = b + 4; r = w + 4; q = k + 2; b = r + 2; k = 18; c = t + 14; x = m + 3; t = s + 5. If k = 18, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = o + 5 to d, which gives d = o + 19.\n2. Substitute o = b + 4 to d, which gives d = b + 23.\n3. Substitute b = r + 2 to d, which gives d = r + 25.\n4. Substitute r = w + 4 to d, which gives d = w + 29.\n5. Substitute w = k + 11 to d, which gives d = k + 40.\n6. Substitute k = 18 to d, which gives d = 58.\n\nThus, the final answer is d = \\boxed{58}.",
"index": 8162,
"question": "Consider a system of variables where each variable is defined as follows: s = x + 9; d = j + 14; m = q + 5; j = o + 5; w = k + 11; o = b + 4; r = w + 4; q = k + 2; b = r + 2; k = 18; c = t + 14; x = m + 3; t = s + 5. If k = 18, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"t": "c + 3", "o": "t + 10", "b": "o + 6", "p": "b + 3", "y": "p + 1", "j": "y + 14", "z": "c + 2", "s": "z + 10", "d": "s + 15", "h": "d + 14", "a": "h + 15", "n": "a + 2", "c": 6}, "premises": {"c": 6}, "target": "j"}, "answer": {"steps": [["y", "p + 1", "p + 15"], ["p", "b + 3", "b + 18"], ["b", "o + 6", "o + 24"], ["o", "t + 10", "t + 34"], ["t", "c + 3", "c + 37"], ["c", 6, "43"]], "target_var_name": "j", "target_value": 43, "value_dict": {"c": 6}, "is_reverse": true}} | 8,163 | 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 = b + 3; o = t + 10; h = d + 14; t = c + 3; y = p + 1; j = y + 14; a = h + 15; d = s + 15; s = z + 10; z = c + 2; n = a + 2; c = 6; b = o + 6. If c = 6, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = p + 1 to j, which gives j = p + 15.\n2. Substitute p = b + 3 to j, which gives j = b + 18.\n3. Substitute b = o + 6 to j, which gives j = o + 24.\n4. Substitute o = t + 10 to j, which gives j = t + 34.\n5. Substitute t = c + 3 to j, which gives j = c + 37.\n6. Substitute c = 6 to j, which gives j = 43.\n\nThus, the final answer is j = \\boxed{43}.",
"index": 8163,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = b + 3; o = t + 10; h = d + 14; t = c + 3; y = p + 1; j = y + 14; a = h + 15; d = s + 15; s = z + 10; z = c + 2; n = a + 2; c = 6; b = o + 6. If c = 6, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"w": "k + 20", "a": "w + 18", "e": "a + 20", "y": "e + 18", "v": "y + 7", "r": "v + 9", "d": "k + 20", "h": "d + 17", "u": "h + 11", "i": "u + 9", "o": "i + 14", "m": "o + 14", "k": 18}, "premises": {"k": 18}, "target": "r"}, "answer": {"steps": [["v", "y + 7", "y + 16"], ["y", "e + 18", "e + 34"], ["e", "a + 20", "a + 54"], ["a", "w + 18", "w + 72"], ["w", "k + 20", "k + 92"], ["k", 18, "110"]], "target_var_name": "r", "target_value": 110, "value_dict": {"k": 18}, "is_reverse": true}} | 8,164 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = a + 20; w = k + 20; i = u + 9; k = 18; h = d + 17; m = o + 14; o = i + 14; a = w + 18; y = e + 18; r = v + 9; u = h + 11; v = y + 7; d = k + 20. Given that k = 18, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 110,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = y + 7 to r, which gives r = y + 16.\n2. Substitute y = e + 18 to r, which gives r = e + 34.\n3. Substitute e = a + 20 to r, which gives r = a + 54.\n4. Substitute a = w + 18 to r, which gives r = w + 72.\n5. Substitute w = k + 20 to r, which gives r = k + 92.\n6. Substitute k = 18 to r, which gives r = 110.\n\nThus, the final answer is r = \\boxed{110}.",
"index": 8164,
"question": "Suppose a collection of variables is related by the following definitions: e = a + 20; w = k + 20; i = u + 9; k = 18; h = d + 17; m = o + 14; o = i + 14; a = w + 18; y = e + 18; r = v + 9; u = h + 11; v = y + 7; d = k + 20. Given that k = 18, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"z": "i + 2", "x": "z + 10", "d": "x + 13", "s": "d + 16", "v": "s + 7", "h": "v + 6", "l": "i + 16", "r": "l + 20", "n": "r + 18", "q": "n + 8", "u": "q + 13", "c": "u + 15", "i": 9}, "premises": {"i": 9}, "target": "h"}, "answer": {"steps": [["v", "s + 7", "s + 13"], ["s", "d + 16", "d + 29"], ["d", "x + 13", "x + 42"], ["x", "z + 10", "z + 52"], ["z", "i + 2", "i + 54"], ["i", 9, "63"]], "target_var_name": "h", "target_value": 63, "value_dict": {"i": 9}, "is_reverse": true}} | 8,165 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = v + 6; v = s + 7; q = n + 8; r = l + 20; s = d + 16; d = x + 13; z = i + 2; n = r + 18; c = u + 15; x = z + 10; u = q + 13; l = i + 16; i = 9. Given that i = 9, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = s + 7 to h, which gives h = s + 13.\n2. Substitute s = d + 16 to h, which gives h = d + 29.\n3. Substitute d = x + 13 to h, which gives h = x + 42.\n4. Substitute x = z + 10 to h, which gives h = z + 52.\n5. Substitute z = i + 2 to h, which gives h = i + 54.\n6. Substitute i = 9 to h, which gives h = 63.\n\nThus, the final answer is h = \\boxed{63}.",
"index": 8165,
"question": "Suppose a collection of variables is related by the following definitions: h = v + 6; v = s + 7; q = n + 8; r = l + 20; s = d + 16; d = x + 13; z = i + 2; n = r + 18; c = u + 15; x = z + 10; u = q + 13; l = i + 16; i = 9. Given that i = 9, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"e": "p + 18", "n": "e + 8", "r": "n + 7", "q": "r + 17", "i": "q + 4", "m": "i + 14", "t": "p + 13", "u": "t + 9", "d": "u + 7", "z": "d + 18", "w": "z + 10", "y": "w + 13", "p": 14}, "premises": {"p": 14}, "target": "m"}, "answer": {"steps": [["i", "q + 4", "q + 18"], ["q", "r + 17", "r + 35"], ["r", "n + 7", "n + 42"], ["n", "e + 8", "e + 50"], ["e", "p + 18", "p + 68"], ["p", 14, "82"]], "target_var_name": "m", "target_value": 82, "value_dict": {"p": 14}, "is_reverse": true}} | 8,166 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = z + 10; i = q + 4; d = u + 7; u = t + 9; e = p + 18; z = d + 18; m = i + 14; t = p + 13; y = w + 13; p = 14; q = r + 17; n = e + 8; r = n + 7. If p = 14, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = q + 4 to m, which gives m = q + 18.\n2. Substitute q = r + 17 to m, which gives m = r + 35.\n3. Substitute r = n + 7 to m, which gives m = n + 42.\n4. Substitute n = e + 8 to m, which gives m = e + 50.\n5. Substitute e = p + 18 to m, which gives m = p + 68.\n6. Substitute p = 14 to m, which gives m = 82.\n\nThus, the final answer is m = \\boxed{82}.",
"index": 8166,
"question": "Consider a system of variables where each variable is defined as follows: w = z + 10; i = q + 4; d = u + 7; u = t + 9; e = p + 18; z = d + 18; m = i + 14; t = p + 13; y = w + 13; p = 14; q = r + 17; n = e + 8; r = n + 7. If p = 14, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"k": "f + 11", "s": "k + 17", "i": "s + 7", "c": "i + 11", "b": "c + 11", "d": "b + 15", "u": "f + 20", "r": "u + 11", "h": "r + 18", "j": "h + 1", "q": "j + 15", "w": "q + 20", "f": 9}, "premises": {"f": 9}, "target": "d"}, "answer": {"steps": [["b", "c + 11", "c + 26"], ["c", "i + 11", "i + 37"], ["i", "s + 7", "s + 44"], ["s", "k + 17", "k + 61"], ["k", "f + 11", "f + 72"], ["f", 9, "81"]], "target_var_name": "d", "target_value": 81, "value_dict": {"f": 9}, "is_reverse": true}} | 8,167 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = r + 18; c = i + 11; q = j + 15; u = f + 20; w = q + 20; d = b + 15; i = s + 7; j = h + 1; b = c + 11; s = k + 17; r = u + 11; k = f + 11; f = 9. Given that f = 9, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = c + 11 to d, which gives d = c + 26.\n2. Substitute c = i + 11 to d, which gives d = i + 37.\n3. Substitute i = s + 7 to d, which gives d = s + 44.\n4. Substitute s = k + 17 to d, which gives d = k + 61.\n5. Substitute k = f + 11 to d, which gives d = f + 72.\n6. Substitute f = 9 to d, which gives d = 81.\n\nThus, the final answer is d = \\boxed{81}.",
"index": 8167,
"question": "Suppose a collection of variables is related by the following definitions: h = r + 18; c = i + 11; q = j + 15; u = f + 20; w = q + 20; d = b + 15; i = s + 7; j = h + 1; b = c + 11; s = k + 17; r = u + 11; k = f + 11; f = 9. Given that f = 9, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"m": "i + 11", "e": "m + 6", "z": "e + 5", "f": "z + 2", "a": "f + 11", "b": "a + 13", "j": "i + 10", "x": "j + 1", "s": "x + 8", "d": "s + 1", "w": "d + 10", "h": "w + 2", "i": 13}, "premises": {"i": 13}, "target": "b"}, "answer": {"steps": [["a", "f + 11", "f + 24"], ["f", "z + 2", "z + 26"], ["z", "e + 5", "e + 31"], ["e", "m + 6", "m + 37"], ["m", "i + 11", "i + 48"], ["i", 13, "61"]], "target_var_name": "b", "target_value": 61, "value_dict": {"i": 13}, "is_reverse": true}} | 8,168 | 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 = 13; d = s + 1; x = j + 1; m = i + 11; a = f + 11; z = e + 5; s = x + 8; f = z + 2; j = i + 10; e = m + 6; h = w + 2; b = a + 13; w = d + 10. If i = 13, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = f + 11 to b, which gives b = f + 24.\n2. Substitute f = z + 2 to b, which gives b = z + 26.\n3. Substitute z = e + 5 to b, which gives b = e + 31.\n4. Substitute e = m + 6 to b, which gives b = m + 37.\n5. Substitute m = i + 11 to b, which gives b = i + 48.\n6. Substitute i = 13 to b, which gives b = 61.\n\nThus, the final answer is b = \\boxed{61}.",
"index": 8168,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = 13; d = s + 1; x = j + 1; m = i + 11; a = f + 11; z = e + 5; s = x + 8; f = z + 2; j = i + 10; e = m + 6; h = w + 2; b = a + 13; w = d + 10. If i = 13, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"g": "y + 18", "e": "g + 10", "x": "e + 7", "z": "x + 12", "h": "z + 6", "p": "h + 7", "m": "y + 20", "u": "m + 17", "d": "u + 16", "f": "d + 19", "w": "f + 19", "i": "w + 6", "y": 17}, "premises": {"y": 17}, "target": "p"}, "answer": {"steps": [["h", "z + 6", "z + 13"], ["z", "x + 12", "x + 25"], ["x", "e + 7", "e + 32"], ["e", "g + 10", "g + 42"], ["g", "y + 18", "y + 60"], ["y", 17, "77"]], "target_var_name": "p", "target_value": 77, "value_dict": {"y": 17}, "is_reverse": true}} | 8,169 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = y + 20; d = u + 16; w = f + 19; h = z + 6; p = h + 7; y = 17; z = x + 12; f = d + 19; i = w + 6; x = e + 7; g = y + 18; e = g + 10; u = m + 17. If y = 17, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = z + 6 to p, which gives p = z + 13.\n2. Substitute z = x + 12 to p, which gives p = x + 25.\n3. Substitute x = e + 7 to p, which gives p = e + 32.\n4. Substitute e = g + 10 to p, which gives p = g + 42.\n5. Substitute g = y + 18 to p, which gives p = y + 60.\n6. Substitute y = 17 to p, which gives p = 77.\n\nThus, the final answer is p = \\boxed{77}.",
"index": 8169,
"question": "Consider a system of variables where each variable is defined as follows: m = y + 20; d = u + 16; w = f + 19; h = z + 6; p = h + 7; y = 17; z = x + 12; f = d + 19; i = w + 6; x = e + 7; g = y + 18; e = g + 10; u = m + 17. If y = 17, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"x": "e + 2", "b": "x + 11", "v": "b + 16", "o": "v + 14", "c": "o + 14", "r": "c + 5", "t": "e + 1", "m": "t + 15", "h": "m + 10", "y": "h + 3", "g": "y + 2", "s": "g + 18", "e": 5}, "premises": {"e": 5}, "target": "r"}, "answer": {"steps": [["c", "o + 14", "o + 19"], ["o", "v + 14", "v + 33"], ["v", "b + 16", "b + 49"], ["b", "x + 11", "x + 60"], ["x", "e + 2", "e + 62"], ["e", 5, "67"]], "target_var_name": "r", "target_value": 67, "value_dict": {"e": 5}, "is_reverse": true}} | 8,170 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = m + 10; m = t + 15; r = c + 5; y = h + 3; e = 5; v = b + 16; s = g + 18; t = e + 1; o = v + 14; c = o + 14; x = e + 2; b = x + 11; g = y + 2. If e = 5, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = o + 14 to r, which gives r = o + 19.\n2. Substitute o = v + 14 to r, which gives r = v + 33.\n3. Substitute v = b + 16 to r, which gives r = b + 49.\n4. Substitute b = x + 11 to r, which gives r = x + 60.\n5. Substitute x = e + 2 to r, which gives r = e + 62.\n6. Substitute e = 5 to r, which gives r = 67.\n\nThus, the final answer is r = \\boxed{67}.",
"index": 8170,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = m + 10; m = t + 15; r = c + 5; y = h + 3; e = 5; v = b + 16; s = g + 18; t = e + 1; o = v + 14; c = o + 14; x = e + 2; b = x + 11; g = y + 2. If e = 5, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"l": "k + 15", "w": "l + 4", "z": "w + 5", "g": "z + 8", "r": "g + 16", "c": "r + 1", "q": "k + 4", "x": "q + 6", "h": "x + 4", "i": "h + 9", "y": "i + 17", "a": "y + 2", "k": 8}, "premises": {"k": 8}, "target": "c"}, "answer": {"steps": [["r", "g + 16", "g + 17"], ["g", "z + 8", "z + 25"], ["z", "w + 5", "w + 30"], ["w", "l + 4", "l + 34"], ["l", "k + 15", "k + 49"], ["k", 8, "57"]], "target_var_name": "c", "target_value": 57, "value_dict": {"k": 8}, "is_reverse": true}} | 8,171 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = w + 5; x = q + 6; i = h + 9; y = i + 17; a = y + 2; k = 8; q = k + 4; h = x + 4; l = k + 15; w = l + 4; r = g + 16; g = z + 8; c = r + 1. Given that k = 8, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = g + 16 to c, which gives c = g + 17.\n2. Substitute g = z + 8 to c, which gives c = z + 25.\n3. Substitute z = w + 5 to c, which gives c = w + 30.\n4. Substitute w = l + 4 to c, which gives c = l + 34.\n5. Substitute l = k + 15 to c, which gives c = k + 49.\n6. Substitute k = 8 to c, which gives c = 57.\n\nThus, the final answer is c = \\boxed{57}.",
"index": 8171,
"question": "Suppose a collection of variables is related by the following definitions: z = w + 5; x = q + 6; i = h + 9; y = i + 17; a = y + 2; k = 8; q = k + 4; h = x + 4; l = k + 15; w = l + 4; r = g + 16; g = z + 8; c = r + 1. Given that k = 8, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"c": "g + 10", "a": "c + 19", "j": "a + 15", "i": "j + 14", "d": "i + 13", "w": "d + 10", "r": "g + 11", "u": "r + 14", "e": "u + 14", "t": "e + 15", "k": "t + 2", "x": "k + 5", "g": 1}, "premises": {"g": 1}, "target": "w"}, "answer": {"steps": [["d", "i + 13", "i + 23"], ["i", "j + 14", "j + 37"], ["j", "a + 15", "a + 52"], ["a", "c + 19", "c + 71"], ["c", "g + 10", "g + 81"], ["g", 1, "82"]], "target_var_name": "w", "target_value": 82, "value_dict": {"g": 1}, "is_reverse": true}} | 8,172 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = i + 13; x = k + 5; t = e + 15; w = d + 10; a = c + 19; i = j + 14; u = r + 14; c = g + 10; k = t + 2; g = 1; j = a + 15; e = u + 14; r = g + 11. If g = 1, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = i + 13 to w, which gives w = i + 23.\n2. Substitute i = j + 14 to w, which gives w = j + 37.\n3. Substitute j = a + 15 to w, which gives w = a + 52.\n4. Substitute a = c + 19 to w, which gives w = c + 71.\n5. Substitute c = g + 10 to w, which gives w = g + 81.\n6. Substitute g = 1 to w, which gives w = 82.\n\nThus, the final answer is w = \\boxed{82}.",
"index": 8172,
"question": "Consider a system of variables where each variable is defined as follows: d = i + 13; x = k + 5; t = e + 15; w = d + 10; a = c + 19; i = j + 14; u = r + 14; c = g + 10; k = t + 2; g = 1; j = a + 15; e = u + 14; r = g + 11. If g = 1, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"c": "u + 5", "q": "c + 8", "z": "q + 18", "a": "z + 4", "b": "a + 6", "l": "b + 11", "p": "u + 5", "g": "p + 12", "m": "g + 14", "n": "m + 2", "d": "n + 5", "i": "d + 2", "u": 16}, "premises": {"u": 16}, "target": "l"}, "answer": {"steps": [["b", "a + 6", "a + 17"], ["a", "z + 4", "z + 21"], ["z", "q + 18", "q + 39"], ["q", "c + 8", "c + 47"], ["c", "u + 5", "u + 52"], ["u", 16, "68"]], "target_var_name": "l", "target_value": 68, "value_dict": {"u": 16}, "is_reverse": true}} | 8,173 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = p + 12; n = m + 2; q = c + 8; b = a + 6; u = 16; i = d + 2; a = z + 4; p = u + 5; m = g + 14; d = n + 5; c = u + 5; z = q + 18; l = b + 11. Given that u = 16, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = a + 6 to l, which gives l = a + 17.\n2. Substitute a = z + 4 to l, which gives l = z + 21.\n3. Substitute z = q + 18 to l, which gives l = q + 39.\n4. Substitute q = c + 8 to l, which gives l = c + 47.\n5. Substitute c = u + 5 to l, which gives l = u + 52.\n6. Substitute u = 16 to l, which gives l = 68.\n\nThus, the final answer is l = \\boxed{68}.",
"index": 8173,
"question": "Suppose a collection of variables is related by the following definitions: g = p + 12; n = m + 2; q = c + 8; b = a + 6; u = 16; i = d + 2; a = z + 4; p = u + 5; m = g + 14; d = n + 5; c = u + 5; z = q + 18; l = b + 11. Given that u = 16, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"x": "s + 4", "e": "x + 14", "w": "e + 19", "n": "w + 5", "y": "n + 18", "p": "y + 9", "v": "s + 15", "b": "v + 19", "k": "b + 9", "h": "k + 12", "f": "h + 20", "i": "f + 8", "s": 14}, "premises": {"s": 14}, "target": "p"}, "answer": {"steps": [["y", "n + 18", "n + 27"], ["n", "w + 5", "w + 32"], ["w", "e + 19", "e + 51"], ["e", "x + 14", "x + 65"], ["x", "s + 4", "s + 69"], ["s", 14, "83"]], "target_var_name": "p", "target_value": 83, "value_dict": {"s": 14}, "is_reverse": true}} | 8,174 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = x + 14; n = w + 5; v = s + 15; f = h + 20; h = k + 12; b = v + 19; p = y + 9; k = b + 9; i = f + 8; w = e + 19; s = 14; y = n + 18; x = s + 4. Given that s = 14, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = n + 18 to p, which gives p = n + 27.\n2. Substitute n = w + 5 to p, which gives p = w + 32.\n3. Substitute w = e + 19 to p, which gives p = e + 51.\n4. Substitute e = x + 14 to p, which gives p = x + 65.\n5. Substitute x = s + 4 to p, which gives p = s + 69.\n6. Substitute s = 14 to p, which gives p = 83.\n\nThus, the final answer is p = \\boxed{83}.",
"index": 8174,
"question": "Suppose a collection of variables is related by the following definitions: e = x + 14; n = w + 5; v = s + 15; f = h + 20; h = k + 12; b = v + 19; p = y + 9; k = b + 9; i = f + 8; w = e + 19; s = 14; y = n + 18; x = s + 4. Given that s = 14, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"b": "t + 7", "w": "b + 9", "a": "w + 19", "i": "a + 20", "x": "i + 8", "l": "x + 11", "k": "t + 3", "v": "k + 14", "d": "v + 4", "m": "d + 15", "p": "m + 19", "z": "p + 6", "t": 5}, "premises": {"t": 5}, "target": "l"}, "answer": {"steps": [["x", "i + 8", "i + 19"], ["i", "a + 20", "a + 39"], ["a", "w + 19", "w + 58"], ["w", "b + 9", "b + 67"], ["b", "t + 7", "t + 74"], ["t", 5, "79"]], "target_var_name": "l", "target_value": 79, "value_dict": {"t": 5}, "is_reverse": true}} | 8,175 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = m + 19; a = w + 19; m = d + 15; d = v + 4; x = i + 8; k = t + 3; b = t + 7; v = k + 14; w = b + 9; z = p + 6; t = 5; i = a + 20; l = x + 11. Given that t = 5, 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 x = i + 8 to l, which gives l = i + 19.\n2. Substitute i = a + 20 to l, which gives l = a + 39.\n3. Substitute a = w + 19 to l, which gives l = w + 58.\n4. Substitute w = b + 9 to l, which gives l = b + 67.\n5. Substitute b = t + 7 to l, which gives l = t + 74.\n6. Substitute t = 5 to l, which gives l = 79.\n\nThus, the final answer is l = \\boxed{79}.",
"index": 8175,
"question": "Suppose a collection of variables is related by the following definitions: p = m + 19; a = w + 19; m = d + 15; d = v + 4; x = i + 8; k = t + 3; b = t + 7; v = k + 14; w = b + 9; z = p + 6; t = 5; i = a + 20; l = x + 11. Given that t = 5, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"f": "b + 5", "u": "f + 1", "m": "u + 16", "j": "m + 13", "h": "j + 18", "n": "h + 14", "x": "b + 11", "w": "x + 8", "e": "w + 14", "z": "e + 11", "q": "z + 17", "k": "q + 13", "b": 6}, "premises": {"b": 6}, "target": "n"}, "answer": {"steps": [["h", "j + 18", "j + 32"], ["j", "m + 13", "m + 45"], ["m", "u + 16", "u + 61"], ["u", "f + 1", "f + 62"], ["f", "b + 5", "b + 67"], ["b", 6, "73"]], "target_var_name": "n", "target_value": 73, "value_dict": {"b": 6}, "is_reverse": true}} | 8,176 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = z + 17; f = b + 5; m = u + 16; z = e + 11; j = m + 13; u = f + 1; b = 6; h = j + 18; n = h + 14; k = q + 13; w = x + 8; x = b + 11; e = w + 14. If b = 6, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = j + 18 to n, which gives n = j + 32.\n2. Substitute j = m + 13 to n, which gives n = m + 45.\n3. Substitute m = u + 16 to n, which gives n = u + 61.\n4. Substitute u = f + 1 to n, which gives n = f + 62.\n5. Substitute f = b + 5 to n, which gives n = b + 67.\n6. Substitute b = 6 to n, which gives n = 73.\n\nThus, the final answer is n = \\boxed{73}.",
"index": 8176,
"question": "Consider a system of variables where each variable is defined as follows: q = z + 17; f = b + 5; m = u + 16; z = e + 11; j = m + 13; u = f + 1; b = 6; h = j + 18; n = h + 14; k = q + 13; w = x + 8; x = b + 11; e = w + 14. If b = 6, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"g": "a + 12", "k": "g + 8", "b": "k + 15", "q": "b + 5", "l": "q + 4", "u": "l + 6", "z": "a + 8", "y": "z + 19", "r": "y + 5", "d": "r + 13", "w": "d + 11", "f": "w + 16", "a": 1}, "premises": {"a": 1}, "target": "u"}, "answer": {"steps": [["l", "q + 4", "q + 10"], ["q", "b + 5", "b + 15"], ["b", "k + 15", "k + 30"], ["k", "g + 8", "g + 38"], ["g", "a + 12", "a + 50"], ["a", 1, "51"]], "target_var_name": "u", "target_value": 51, "value_dict": {"a": 1}, "is_reverse": true}} | 8,177 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = g + 8; q = b + 5; d = r + 13; w = d + 11; g = a + 12; r = y + 5; l = q + 4; z = a + 8; b = k + 15; u = l + 6; a = 1; f = w + 16; y = z + 19. If a = 1, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = q + 4 to u, which gives u = q + 10.\n2. Substitute q = b + 5 to u, which gives u = b + 15.\n3. Substitute b = k + 15 to u, which gives u = k + 30.\n4. Substitute k = g + 8 to u, which gives u = g + 38.\n5. Substitute g = a + 12 to u, which gives u = a + 50.\n6. Substitute a = 1 to u, which gives u = 51.\n\nThus, the final answer is u = \\boxed{51}.",
"index": 8177,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = g + 8; q = b + 5; d = r + 13; w = d + 11; g = a + 12; r = y + 5; l = q + 4; z = a + 8; b = k + 15; u = l + 6; a = 1; f = w + 16; y = z + 19. If a = 1, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"e": "g + 9", "n": "e + 9", "v": "n + 14", "s": "v + 17", "d": "s + 17", "t": "d + 4", "c": "g + 19", "a": "c + 13", "i": "a + 16", "m": "i + 19", "f": "m + 18", "p": "f + 17", "g": 19}, "premises": {"g": 19}, "target": "t"}, "answer": {"steps": [["d", "s + 17", "s + 21"], ["s", "v + 17", "v + 38"], ["v", "n + 14", "n + 52"], ["n", "e + 9", "e + 61"], ["e", "g + 9", "g + 70"], ["g", 19, "89"]], "target_var_name": "t", "target_value": 89, "value_dict": {"g": 19}, "is_reverse": true}} | 8,178 | 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 = i + 19; d = s + 17; p = f + 17; t = d + 4; f = m + 18; s = v + 17; n = e + 9; c = g + 19; e = g + 9; v = n + 14; a = c + 13; i = a + 16; g = 19. If g = 19, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = s + 17 to t, which gives t = s + 21.\n2. Substitute s = v + 17 to t, which gives t = v + 38.\n3. Substitute v = n + 14 to t, which gives t = n + 52.\n4. Substitute n = e + 9 to t, which gives t = e + 61.\n5. Substitute e = g + 9 to t, which gives t = g + 70.\n6. Substitute g = 19 to t, which gives t = 89.\n\nThus, the final answer is t = \\boxed{89}.",
"index": 8178,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = i + 19; d = s + 17; p = f + 17; t = d + 4; f = m + 18; s = v + 17; n = e + 9; c = g + 19; e = g + 9; v = n + 14; a = c + 13; i = a + 16; g = 19. If g = 19, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"i": "f + 17", "n": "i + 5", "p": "n + 14", "w": "p + 18", "l": "w + 8", "e": "l + 16", "y": "f + 6", "t": "y + 15", "z": "t + 1", "c": "z + 4", "m": "c + 9", "o": "m + 12", "f": 4}, "premises": {"f": 4}, "target": "e"}, "answer": {"steps": [["l", "w + 8", "w + 24"], ["w", "p + 18", "p + 42"], ["p", "n + 14", "n + 56"], ["n", "i + 5", "i + 61"], ["i", "f + 17", "f + 78"], ["f", 4, "82"]], "target_var_name": "e", "target_value": 82, "value_dict": {"f": 4}, "is_reverse": true}} | 8,179 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = z + 4; f = 4; z = t + 1; y = f + 6; t = y + 15; n = i + 5; e = l + 16; o = m + 12; i = f + 17; m = c + 9; w = p + 18; p = n + 14; l = w + 8. Given that f = 4, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = w + 8 to e, which gives e = w + 24.\n2. Substitute w = p + 18 to e, which gives e = p + 42.\n3. Substitute p = n + 14 to e, which gives e = n + 56.\n4. Substitute n = i + 5 to e, which gives e = i + 61.\n5. Substitute i = f + 17 to e, which gives e = f + 78.\n6. Substitute f = 4 to e, which gives e = 82.\n\nThus, the final answer is e = \\boxed{82}.",
"index": 8179,
"question": "Suppose a collection of variables is related by the following definitions: c = z + 4; f = 4; z = t + 1; y = f + 6; t = y + 15; n = i + 5; e = l + 16; o = m + 12; i = f + 17; m = c + 9; w = p + 18; p = n + 14; l = w + 8. Given that f = 4, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"k": "l + 5", "w": "k + 1", "u": "w + 14", "h": "u + 15", "v": "h + 20", "z": "v + 15", "d": "l + 6", "n": "d + 4", "i": "n + 6", "q": "i + 8", "y": "q + 14", "f": "y + 1", "l": 11}, "premises": {"l": 11}, "target": "z"}, "answer": {"steps": [["v", "h + 20", "h + 35"], ["h", "u + 15", "u + 50"], ["u", "w + 14", "w + 64"], ["w", "k + 1", "k + 65"], ["k", "l + 5", "l + 70"], ["l", 11, "81"]], "target_var_name": "z", "target_value": 81, "value_dict": {"l": 11}, "is_reverse": true}} | 8,180 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = k + 1; v = h + 20; f = y + 1; d = l + 6; n = d + 4; h = u + 15; y = q + 14; k = l + 5; z = v + 15; q = i + 8; u = w + 14; i = n + 6; l = 11. Given that l = 11, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = h + 20 to z, which gives z = h + 35.\n2. Substitute h = u + 15 to z, which gives z = u + 50.\n3. Substitute u = w + 14 to z, which gives z = w + 64.\n4. Substitute w = k + 1 to z, which gives z = k + 65.\n5. Substitute k = l + 5 to z, which gives z = l + 70.\n6. Substitute l = 11 to z, which gives z = 81.\n\nThus, the final answer is z = \\boxed{81}.",
"index": 8180,
"question": "Suppose a collection of variables is related by the following definitions: w = k + 1; v = h + 20; f = y + 1; d = l + 6; n = d + 4; h = u + 15; y = q + 14; k = l + 5; z = v + 15; q = i + 8; u = w + 14; i = n + 6; l = 11. Given that l = 11, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"u": "x + 10", "c": "u + 17", "d": "c + 17", "t": "d + 19", "q": "t + 8", "k": "q + 11", "y": "x + 6", "b": "y + 1", "v": "b + 10", "n": "v + 10", "m": "n + 1", "s": "m + 1", "x": 20}, "premises": {"x": 20}, "target": "k"}, "answer": {"steps": [["q", "t + 8", "t + 19"], ["t", "d + 19", "d + 38"], ["d", "c + 17", "c + 55"], ["c", "u + 17", "u + 72"], ["u", "x + 10", "x + 82"], ["x", 20, "102"]], "target_var_name": "k", "target_value": 102, "value_dict": {"x": 20}, "is_reverse": true}} | 8,181 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = n + 1; k = q + 11; q = t + 8; n = v + 10; u = x + 10; b = y + 1; v = b + 10; s = m + 1; c = u + 17; x = 20; d = c + 17; t = d + 19; y = x + 6. Given that x = 20, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 102,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = t + 8 to k, which gives k = t + 19.\n2. Substitute t = d + 19 to k, which gives k = d + 38.\n3. Substitute d = c + 17 to k, which gives k = c + 55.\n4. Substitute c = u + 17 to k, which gives k = u + 72.\n5. Substitute u = x + 10 to k, which gives k = x + 82.\n6. Substitute x = 20 to k, which gives k = 102.\n\nThus, the final answer is k = \\boxed{102}.",
"index": 8181,
"question": "Suppose a collection of variables is related by the following definitions: m = n + 1; k = q + 11; q = t + 8; n = v + 10; u = x + 10; b = y + 1; v = b + 10; s = m + 1; c = u + 17; x = 20; d = c + 17; t = d + 19; y = x + 6. Given that x = 20, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"o": "a + 16", "s": "o + 12", "p": "s + 4", "r": "p + 17", "e": "r + 4", "n": "e + 11", "h": "a + 6", "d": "h + 14", "f": "d + 3", "c": "f + 15", "u": "c + 16", "j": "u + 7", "a": 5}, "premises": {"a": 5}, "target": "n"}, "answer": {"steps": [["e", "r + 4", "r + 15"], ["r", "p + 17", "p + 32"], ["p", "s + 4", "s + 36"], ["s", "o + 12", "o + 48"], ["o", "a + 16", "a + 64"], ["a", 5, "69"]], "target_var_name": "n", "target_value": 69, "value_dict": {"a": 5}, "is_reverse": true}} | 8,182 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = r + 4; j = u + 7; h = a + 6; f = d + 3; n = e + 11; r = p + 17; p = s + 4; o = a + 16; d = h + 14; c = f + 15; s = o + 12; a = 5; u = c + 16. Given that a = 5, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = r + 4 to n, which gives n = r + 15.\n2. Substitute r = p + 17 to n, which gives n = p + 32.\n3. Substitute p = s + 4 to n, which gives n = s + 36.\n4. Substitute s = o + 12 to n, which gives n = o + 48.\n5. Substitute o = a + 16 to n, which gives n = a + 64.\n6. Substitute a = 5 to n, which gives n = 69.\n\nThus, the final answer is n = \\boxed{69}.",
"index": 8182,
"question": "Suppose a collection of variables is related by the following definitions: e = r + 4; j = u + 7; h = a + 6; f = d + 3; n = e + 11; r = p + 17; p = s + 4; o = a + 16; d = h + 14; c = f + 15; s = o + 12; a = 5; u = c + 16. Given that a = 5, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"r": "h + 15", "p": "r + 10", "s": "p + 9", "z": "s + 7", "x": "z + 11", "o": "x + 9", "v": "h + 19", "b": "v + 20", "j": "b + 9", "i": "j + 11", "u": "i + 2", "k": "u + 9", "h": 12}, "premises": {"h": 12}, "target": "o"}, "answer": {"steps": [["x", "z + 11", "z + 20"], ["z", "s + 7", "s + 27"], ["s", "p + 9", "p + 36"], ["p", "r + 10", "r + 46"], ["r", "h + 15", "h + 61"], ["h", 12, "73"]], "target_var_name": "o", "target_value": 73, "value_dict": {"h": 12}, "is_reverse": true}} | 8,183 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = h + 19; p = r + 10; b = v + 20; j = b + 9; h = 12; o = x + 9; r = h + 15; i = j + 11; k = u + 9; u = i + 2; x = z + 11; z = s + 7; s = p + 9. If h = 12, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = z + 11 to o, which gives o = z + 20.\n2. Substitute z = s + 7 to o, which gives o = s + 27.\n3. Substitute s = p + 9 to o, which gives o = p + 36.\n4. Substitute p = r + 10 to o, which gives o = r + 46.\n5. Substitute r = h + 15 to o, which gives o = h + 61.\n6. Substitute h = 12 to o, which gives o = 73.\n\nThus, the final answer is o = \\boxed{73}.",
"index": 8183,
"question": "Consider a system of variables where each variable is defined as follows: v = h + 19; p = r + 10; b = v + 20; j = b + 9; h = 12; o = x + 9; r = h + 15; i = j + 11; k = u + 9; u = i + 2; x = z + 11; z = s + 7; s = p + 9. If h = 12, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"b": "y + 14", "q": "b + 17", "p": "q + 6", "a": "p + 20", "v": "a + 20", "l": "v + 8", "c": "y + 7", "n": "c + 3", "g": "n + 14", "d": "g + 12", "m": "d + 2", "k": "m + 13", "y": 10}, "premises": {"y": 10}, "target": "l"}, "answer": {"steps": [["v", "a + 20", "a + 28"], ["a", "p + 20", "p + 48"], ["p", "q + 6", "q + 54"], ["q", "b + 17", "b + 71"], ["b", "y + 14", "y + 85"], ["y", 10, "95"]], "target_var_name": "l", "target_value": 95, "value_dict": {"y": 10}, "is_reverse": true}} | 8,184 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = 10; b = y + 14; l = v + 8; d = g + 12; g = n + 14; k = m + 13; v = a + 20; c = y + 7; a = p + 20; q = b + 17; n = c + 3; p = q + 6; m = d + 2. If y = 10, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = a + 20 to l, which gives l = a + 28.\n2. Substitute a = p + 20 to l, which gives l = p + 48.\n3. Substitute p = q + 6 to l, which gives l = q + 54.\n4. Substitute q = b + 17 to l, which gives l = b + 71.\n5. Substitute b = y + 14 to l, which gives l = y + 85.\n6. Substitute y = 10 to l, which gives l = 95.\n\nThus, the final answer is l = \\boxed{95}.",
"index": 8184,
"question": "Consider a system of variables where each variable is defined as follows: y = 10; b = y + 14; l = v + 8; d = g + 12; g = n + 14; k = m + 13; v = a + 20; c = y + 7; a = p + 20; q = b + 17; n = c + 3; p = q + 6; m = d + 2. If y = 10, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"t": "q + 8", "w": "t + 14", "h": "w + 10", "l": "h + 9", "e": "l + 6", "r": "e + 16", "j": "q + 6", "z": "j + 2", "d": "z + 3", "b": "d + 17", "m": "b + 10", "y": "m + 15", "q": 14}, "premises": {"q": 14}, "target": "r"}, "answer": {"steps": [["e", "l + 6", "l + 22"], ["l", "h + 9", "h + 31"], ["h", "w + 10", "w + 41"], ["w", "t + 14", "t + 55"], ["t", "q + 8", "q + 63"], ["q", 14, "77"]], "target_var_name": "r", "target_value": 77, "value_dict": {"q": 14}, "is_reverse": true}} | 8,185 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = d + 17; m = b + 10; t = q + 8; w = t + 14; q = 14; d = z + 3; l = h + 9; r = e + 16; e = l + 6; j = q + 6; y = m + 15; h = w + 10; z = j + 2. If q = 14, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = l + 6 to r, which gives r = l + 22.\n2. Substitute l = h + 9 to r, which gives r = h + 31.\n3. Substitute h = w + 10 to r, which gives r = w + 41.\n4. Substitute w = t + 14 to r, which gives r = t + 55.\n5. Substitute t = q + 8 to r, which gives r = q + 63.\n6. Substitute q = 14 to r, which gives r = 77.\n\nThus, the final answer is r = \\boxed{77}.",
"index": 8185,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = d + 17; m = b + 10; t = q + 8; w = t + 14; q = 14; d = z + 3; l = h + 9; r = e + 16; e = l + 6; j = q + 6; y = m + 15; h = w + 10; z = j + 2. If q = 14, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"p": "b + 4", "n": "p + 6", "y": "n + 1", "e": "y + 17", "s": "e + 14", "o": "s + 17", "j": "b + 16", "d": "j + 20", "f": "d + 18", "v": "f + 5", "t": "v + 15", "g": "t + 7", "b": 6}, "premises": {"b": 6}, "target": "o"}, "answer": {"steps": [["s", "e + 14", "e + 31"], ["e", "y + 17", "y + 48"], ["y", "n + 1", "n + 49"], ["n", "p + 6", "p + 55"], ["p", "b + 4", "b + 59"], ["b", 6, "65"]], "target_var_name": "o", "target_value": 65, "value_dict": {"b": 6}, "is_reverse": true}} | 8,186 | 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 = s + 17; t = v + 15; p = b + 4; b = 6; v = f + 5; g = t + 7; e = y + 17; s = e + 14; d = j + 20; j = b + 16; y = n + 1; n = p + 6; f = d + 18. If b = 6, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = e + 14 to o, which gives o = e + 31.\n2. Substitute e = y + 17 to o, which gives o = y + 48.\n3. Substitute y = n + 1 to o, which gives o = n + 49.\n4. Substitute n = p + 6 to o, which gives o = p + 55.\n5. Substitute p = b + 4 to o, which gives o = b + 59.\n6. Substitute b = 6 to o, which gives o = 65.\n\nThus, the final answer is o = \\boxed{65}.",
"index": 8186,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = s + 17; t = v + 15; p = b + 4; b = 6; v = f + 5; g = t + 7; e = y + 17; s = e + 14; d = j + 20; j = b + 16; y = n + 1; n = p + 6; f = d + 18. If b = 6, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"q": "v + 16", "j": "q + 2", "n": "j + 17", "f": "n + 12", "o": "f + 17", "k": "o + 15", "s": "v + 12", "e": "s + 12", "z": "e + 16", "x": "z + 12", "p": "x + 16", "w": "p + 11", "v": 12}, "premises": {"v": 12}, "target": "k"}, "answer": {"steps": [["o", "f + 17", "f + 32"], ["f", "n + 12", "n + 44"], ["n", "j + 17", "j + 61"], ["j", "q + 2", "q + 63"], ["q", "v + 16", "v + 79"], ["v", 12, "91"]], "target_var_name": "k", "target_value": 91, "value_dict": {"v": 12}, "is_reverse": true}} | 8,187 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = s + 12; x = z + 12; k = o + 15; w = p + 11; z = e + 16; s = v + 12; q = v + 16; o = f + 17; j = q + 2; v = 12; n = j + 17; f = n + 12; p = x + 16. If v = 12, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = f + 17 to k, which gives k = f + 32.\n2. Substitute f = n + 12 to k, which gives k = n + 44.\n3. Substitute n = j + 17 to k, which gives k = j + 61.\n4. Substitute j = q + 2 to k, which gives k = q + 63.\n5. Substitute q = v + 16 to k, which gives k = v + 79.\n6. Substitute v = 12 to k, which gives k = 91.\n\nThus, the final answer is k = \\boxed{91}.",
"index": 8187,
"question": "Consider a system of variables where each variable is defined as follows: e = s + 12; x = z + 12; k = o + 15; w = p + 11; z = e + 16; s = v + 12; q = v + 16; o = f + 17; j = q + 2; v = 12; n = j + 17; f = n + 12; p = x + 16. If v = 12, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"d": "a + 10", "q": "d + 18", "u": "q + 2", "e": "u + 2", "s": "e + 4", "n": "s + 20", "b": "a + 10", "z": "b + 3", "p": "z + 10", "f": "p + 8", "h": "f + 8", "x": "h + 18", "a": 15}, "premises": {"a": 15}, "target": "n"}, "answer": {"steps": [["s", "e + 4", "e + 24"], ["e", "u + 2", "u + 26"], ["u", "q + 2", "q + 28"], ["q", "d + 18", "d + 46"], ["d", "a + 10", "a + 56"], ["a", 15, "71"]], "target_var_name": "n", "target_value": 71, "value_dict": {"a": 15}, "is_reverse": true}} | 8,188 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = f + 8; n = s + 20; a = 15; f = p + 8; z = b + 3; e = u + 2; d = a + 10; q = d + 18; u = q + 2; x = h + 18; p = z + 10; b = a + 10; s = e + 4. If a = 15, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = e + 4 to n, which gives n = e + 24.\n2. Substitute e = u + 2 to n, which gives n = u + 26.\n3. Substitute u = q + 2 to n, which gives n = q + 28.\n4. Substitute q = d + 18 to n, which gives n = d + 46.\n5. Substitute d = a + 10 to n, which gives n = a + 56.\n6. Substitute a = 15 to n, which gives n = 71.\n\nThus, the final answer is n = \\boxed{71}.",
"index": 8188,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = f + 8; n = s + 20; a = 15; f = p + 8; z = b + 3; e = u + 2; d = a + 10; q = d + 18; u = q + 2; x = h + 18; p = z + 10; b = a + 10; s = e + 4. If a = 15, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"s": "a + 7", "z": "s + 10", "g": "z + 13", "k": "g + 6", "y": "k + 17", "p": "y + 12", "d": "a + 6", "v": "d + 10", "f": "v + 7", "b": "f + 20", "l": "b + 11", "w": "l + 13", "a": 20}, "premises": {"a": 20}, "target": "p"}, "answer": {"steps": [["y", "k + 17", "k + 29"], ["k", "g + 6", "g + 35"], ["g", "z + 13", "z + 48"], ["z", "s + 10", "s + 58"], ["s", "a + 7", "a + 65"], ["a", 20, "85"]], "target_var_name": "p", "target_value": 85, "value_dict": {"a": 20}, "is_reverse": true}} | 8,189 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = d + 10; l = b + 11; f = v + 7; w = l + 13; z = s + 10; g = z + 13; b = f + 20; p = y + 12; k = g + 6; a = 20; d = a + 6; s = a + 7; y = k + 17. If a = 20, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = k + 17 to p, which gives p = k + 29.\n2. Substitute k = g + 6 to p, which gives p = g + 35.\n3. Substitute g = z + 13 to p, which gives p = z + 48.\n4. Substitute z = s + 10 to p, which gives p = s + 58.\n5. Substitute s = a + 7 to p, which gives p = a + 65.\n6. Substitute a = 20 to p, which gives p = 85.\n\nThus, the final answer is p = \\boxed{85}.",
"index": 8189,
"question": "Consider a system of variables where each variable is defined as follows: v = d + 10; l = b + 11; f = v + 7; w = l + 13; z = s + 10; g = z + 13; b = f + 20; p = y + 12; k = g + 6; a = 20; d = a + 6; s = a + 7; y = k + 17. If a = 20, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"z": "w + 5", "g": "z + 19", "x": "g + 6", "s": "x + 10", "o": "s + 14", "m": "o + 12", "v": "w + 16", "y": "v + 3", "l": "y + 16", "b": "l + 15", "u": "b + 6", "h": "u + 9", "w": 20}, "premises": {"w": 20}, "target": "m"}, "answer": {"steps": [["o", "s + 14", "s + 26"], ["s", "x + 10", "x + 36"], ["x", "g + 6", "g + 42"], ["g", "z + 19", "z + 61"], ["z", "w + 5", "w + 66"], ["w", 20, "86"]], "target_var_name": "m", "target_value": 86, "value_dict": {"w": 20}, "is_reverse": true}} | 8,190 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = v + 3; z = w + 5; w = 20; u = b + 6; b = l + 15; g = z + 19; l = y + 16; m = o + 12; o = s + 14; v = w + 16; x = g + 6; h = u + 9; s = x + 10. If w = 20, 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 o = s + 14 to m, which gives m = s + 26.\n2. Substitute s = x + 10 to m, which gives m = x + 36.\n3. Substitute x = g + 6 to m, which gives m = g + 42.\n4. Substitute g = z + 19 to m, which gives m = z + 61.\n5. Substitute z = w + 5 to m, which gives m = w + 66.\n6. Substitute w = 20 to m, which gives m = 86.\n\nThus, the final answer is m = \\boxed{86}.",
"index": 8190,
"question": "Consider a system of variables where each variable is defined as follows: y = v + 3; z = w + 5; w = 20; u = b + 6; b = l + 15; g = z + 19; l = y + 16; m = o + 12; o = s + 14; v = w + 16; x = g + 6; h = u + 9; s = x + 10. If w = 20, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"i": "f + 11", "x": "i + 17", "e": "x + 15", "o": "e + 1", "q": "o + 6", "y": "q + 15", "n": "f + 8", "m": "n + 2", "p": "m + 12", "l": "p + 15", "v": "l + 20", "z": "v + 16", "f": 14}, "premises": {"f": 14}, "target": "y"}, "answer": {"steps": [["q", "o + 6", "o + 21"], ["o", "e + 1", "e + 22"], ["e", "x + 15", "x + 37"], ["x", "i + 17", "i + 54"], ["i", "f + 11", "f + 65"], ["f", 14, "79"]], "target_var_name": "y", "target_value": 79, "value_dict": {"f": 14}, "is_reverse": true}} | 8,191 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = v + 16; i = f + 11; p = m + 12; x = i + 17; l = p + 15; v = l + 20; n = f + 8; o = e + 1; f = 14; q = o + 6; e = x + 15; m = n + 2; y = q + 15. Given that f = 14, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = o + 6 to y, which gives y = o + 21.\n2. Substitute o = e + 1 to y, which gives y = e + 22.\n3. Substitute e = x + 15 to y, which gives y = x + 37.\n4. Substitute x = i + 17 to y, which gives y = i + 54.\n5. Substitute i = f + 11 to y, which gives y = f + 65.\n6. Substitute f = 14 to y, which gives y = 79.\n\nThus, the final answer is y = \\boxed{79}.",
"index": 8191,
"question": "Suppose a collection of variables is related by the following definitions: z = v + 16; i = f + 11; p = m + 12; x = i + 17; l = p + 15; v = l + 20; n = f + 8; o = e + 1; f = 14; q = o + 6; e = x + 15; m = n + 2; y = q + 15. Given that f = 14, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"z": "r + 20", "l": "z + 7", "q": "l + 16", "u": "q + 9", "o": "u + 1", "i": "o + 17", "m": "r + 19", "a": "m + 13", "w": "a + 8", "b": "w + 6", "s": "b + 8", "y": "s + 16", "r": 19}, "premises": {"r": 19}, "target": "i"}, "answer": {"steps": [["o", "u + 1", "u + 18"], ["u", "q + 9", "q + 27"], ["q", "l + 16", "l + 43"], ["l", "z + 7", "z + 50"], ["z", "r + 20", "r + 70"], ["r", 19, "89"]], "target_var_name": "i", "target_value": 89, "value_dict": {"r": 19}, "is_reverse": true}} | 8,192 | 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 = b + 8; y = s + 16; u = q + 9; r = 19; a = m + 13; q = l + 16; o = u + 1; z = r + 20; m = r + 19; i = o + 17; w = a + 8; l = z + 7; b = w + 6. If r = 19, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = u + 1 to i, which gives i = u + 18.\n2. Substitute u = q + 9 to i, which gives i = q + 27.\n3. Substitute q = l + 16 to i, which gives i = l + 43.\n4. Substitute l = z + 7 to i, which gives i = z + 50.\n5. Substitute z = r + 20 to i, which gives i = r + 70.\n6. Substitute r = 19 to i, which gives i = 89.\n\nThus, the final answer is i = \\boxed{89}.",
"index": 8192,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = b + 8; y = s + 16; u = q + 9; r = 19; a = m + 13; q = l + 16; o = u + 1; z = r + 20; m = r + 19; i = o + 17; w = a + 8; l = z + 7; b = w + 6. If r = 19, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"b": "a + 19", "r": "b + 11", "s": "r + 13", "p": "s + 15", "f": "p + 7", "i": "f + 6", "w": "a + 14", "y": "w + 6", "t": "y + 8", "e": "t + 17", "k": "e + 17", "o": "k + 4", "a": 4}, "premises": {"a": 4}, "target": "i"}, "answer": {"steps": [["f", "p + 7", "p + 13"], ["p", "s + 15", "s + 28"], ["s", "r + 13", "r + 41"], ["r", "b + 11", "b + 52"], ["b", "a + 19", "a + 71"], ["a", 4, "75"]], "target_var_name": "i", "target_value": 75, "value_dict": {"a": 4}, "is_reverse": true}} | 8,193 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = r + 13; k = e + 17; e = t + 17; p = s + 15; f = p + 7; r = b + 11; t = y + 8; a = 4; b = a + 19; w = a + 14; y = w + 6; o = k + 4; i = f + 6. If a = 4, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = p + 7 to i, which gives i = p + 13.\n2. Substitute p = s + 15 to i, which gives i = s + 28.\n3. Substitute s = r + 13 to i, which gives i = r + 41.\n4. Substitute r = b + 11 to i, which gives i = b + 52.\n5. Substitute b = a + 19 to i, which gives i = a + 71.\n6. Substitute a = 4 to i, which gives i = 75.\n\nThus, the final answer is i = \\boxed{75}.",
"index": 8193,
"question": "Consider a system of variables where each variable is defined as follows: s = r + 13; k = e + 17; e = t + 17; p = s + 15; f = p + 7; r = b + 11; t = y + 8; a = 4; b = a + 19; w = a + 14; y = w + 6; o = k + 4; i = f + 6. If a = 4, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"w": "n + 5", "e": "w + 20", "f": "e + 4", "h": "f + 17", "c": "h + 12", "d": "c + 13", "i": "n + 18", "r": "i + 5", "z": "r + 6", "p": "z + 20", "g": "p + 2", "v": "g + 1", "n": 19}, "premises": {"n": 19}, "target": "d"}, "answer": {"steps": [["c", "h + 12", "h + 25"], ["h", "f + 17", "f + 42"], ["f", "e + 4", "e + 46"], ["e", "w + 20", "w + 66"], ["w", "n + 5", "n + 71"], ["n", 19, "90"]], "target_var_name": "d", "target_value": 90, "value_dict": {"n": 19}, "is_reverse": true}} | 8,194 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = w + 20; p = z + 20; f = e + 4; i = n + 18; h = f + 17; w = n + 5; n = 19; r = i + 5; g = p + 2; v = g + 1; d = c + 13; c = h + 12; z = r + 6. If n = 19, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = h + 12 to d, which gives d = h + 25.\n2. Substitute h = f + 17 to d, which gives d = f + 42.\n3. Substitute f = e + 4 to d, which gives d = e + 46.\n4. Substitute e = w + 20 to d, which gives d = w + 66.\n5. Substitute w = n + 5 to d, which gives d = n + 71.\n6. Substitute n = 19 to d, which gives d = 90.\n\nThus, the final answer is d = \\boxed{90}.",
"index": 8194,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = w + 20; p = z + 20; f = e + 4; i = n + 18; h = f + 17; w = n + 5; n = 19; r = i + 5; g = p + 2; v = g + 1; d = c + 13; c = h + 12; z = r + 6. If n = 19, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"o": "w + 20", "q": "o + 17", "d": "q + 19", "l": "d + 16", "k": "l + 19", "a": "k + 15", "v": "w + 11", "n": "v + 13", "c": "n + 1", "z": "c + 9", "e": "z + 13", "u": "e + 12", "w": 17}, "premises": {"w": 17}, "target": "a"}, "answer": {"steps": [["k", "l + 19", "l + 34"], ["l", "d + 16", "d + 50"], ["d", "q + 19", "q + 69"], ["q", "o + 17", "o + 86"], ["o", "w + 20", "w + 106"], ["w", 17, "123"]], "target_var_name": "a", "target_value": 123, "value_dict": {"w": 17}, "is_reverse": true}} | 8,195 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = 17; z = c + 9; o = w + 20; c = n + 1; a = k + 15; u = e + 12; v = w + 11; l = d + 16; e = z + 13; k = l + 19; n = v + 13; q = o + 17; d = q + 19. If w = 17, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 123,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = l + 19 to a, which gives a = l + 34.\n2. Substitute l = d + 16 to a, which gives a = d + 50.\n3. Substitute d = q + 19 to a, which gives a = q + 69.\n4. Substitute q = o + 17 to a, which gives a = o + 86.\n5. Substitute o = w + 20 to a, which gives a = w + 106.\n6. Substitute w = 17 to a, which gives a = 123.\n\nThus, the final answer is a = \\boxed{123}.",
"index": 8195,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = 17; z = c + 9; o = w + 20; c = n + 1; a = k + 15; u = e + 12; v = w + 11; l = d + 16; e = z + 13; k = l + 19; n = v + 13; q = o + 17; d = q + 19. If w = 17, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"p": "z + 3", "m": "p + 16", "h": "m + 5", "i": "h + 13", "r": "i + 12", "g": "r + 15", "f": "z + 12", "d": "f + 12", "o": "d + 1", "t": "o + 14", "y": "t + 16", "e": "y + 17", "z": 12}, "premises": {"z": 12}, "target": "g"}, "answer": {"steps": [["r", "i + 12", "i + 27"], ["i", "h + 13", "h + 40"], ["h", "m + 5", "m + 45"], ["m", "p + 16", "p + 61"], ["p", "z + 3", "z + 64"], ["z", 12, "76"]], "target_var_name": "g", "target_value": 76, "value_dict": {"z": 12}, "is_reverse": true}} | 8,196 | 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 + 15; y = t + 16; r = i + 12; f = z + 12; i = h + 13; z = 12; m = p + 16; p = z + 3; t = o + 14; e = y + 17; d = f + 12; h = m + 5; o = d + 1. If z = 12, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = i + 12 to g, which gives g = i + 27.\n2. Substitute i = h + 13 to g, which gives g = h + 40.\n3. Substitute h = m + 5 to g, which gives g = m + 45.\n4. Substitute m = p + 16 to g, which gives g = p + 61.\n5. Substitute p = z + 3 to g, which gives g = z + 64.\n6. Substitute z = 12 to g, which gives g = 76.\n\nThus, the final answer is g = \\boxed{76}.",
"index": 8196,
"question": "Consider a system of variables where each variable is defined as follows: g = r + 15; y = t + 16; r = i + 12; f = z + 12; i = h + 13; z = 12; m = p + 16; p = z + 3; t = o + 14; e = y + 17; d = f + 12; h = m + 5; o = d + 1. If z = 12, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"g": "v + 11", "t": "g + 19", "o": "t + 7", "c": "o + 19", "d": "c + 14", "j": "d + 13", "w": "v + 11", "b": "w + 16", "q": "b + 6", "r": "q + 6", "i": "r + 12", "p": "i + 5", "v": 6}, "premises": {"v": 6}, "target": "j"}, "answer": {"steps": [["d", "c + 14", "c + 27"], ["c", "o + 19", "o + 46"], ["o", "t + 7", "t + 53"], ["t", "g + 19", "g + 72"], ["g", "v + 11", "v + 83"], ["v", 6, "89"]], "target_var_name": "j", "target_value": 89, "value_dict": {"v": 6}, "is_reverse": true}} | 8,197 | 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 = d + 13; p = i + 5; t = g + 19; d = c + 14; i = r + 12; g = v + 11; q = b + 6; c = o + 19; o = t + 7; w = v + 11; v = 6; b = w + 16; r = q + 6. If v = 6, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = c + 14 to j, which gives j = c + 27.\n2. Substitute c = o + 19 to j, which gives j = o + 46.\n3. Substitute o = t + 7 to j, which gives j = t + 53.\n4. Substitute t = g + 19 to j, which gives j = g + 72.\n5. Substitute g = v + 11 to j, which gives j = v + 83.\n6. Substitute v = 6 to j, which gives j = 89.\n\nThus, the final answer is j = \\boxed{89}.",
"index": 8197,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = d + 13; p = i + 5; t = g + 19; d = c + 14; i = r + 12; g = v + 11; q = b + 6; c = o + 19; o = t + 7; w = v + 11; v = 6; b = w + 16; r = q + 6. If v = 6, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"c": "w + 1", "e": "c + 20", "i": "e + 17", "l": "i + 14", "v": "l + 20", "b": "v + 3", "d": "w + 20", "p": "d + 18", "u": "p + 2", "r": "u + 10", "a": "r + 14", "y": "a + 13", "w": 17}, "premises": {"w": 17}, "target": "b"}, "answer": {"steps": [["v", "l + 20", "l + 23"], ["l", "i + 14", "i + 37"], ["i", "e + 17", "e + 54"], ["e", "c + 20", "c + 74"], ["c", "w + 1", "w + 75"], ["w", 17, "92"]], "target_var_name": "b", "target_value": 92, "value_dict": {"w": 17}, "is_reverse": true}} | 8,198 | 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 = u + 10; w = 17; b = v + 3; y = a + 13; a = r + 14; p = d + 18; l = i + 14; v = l + 20; c = w + 1; u = p + 2; d = w + 20; e = c + 20; i = e + 17. If w = 17, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = l + 20 to b, which gives b = l + 23.\n2. Substitute l = i + 14 to b, which gives b = i + 37.\n3. Substitute i = e + 17 to b, which gives b = e + 54.\n4. Substitute e = c + 20 to b, which gives b = c + 74.\n5. Substitute c = w + 1 to b, which gives b = w + 75.\n6. Substitute w = 17 to b, which gives b = 92.\n\nThus, the final answer is b = \\boxed{92}.",
"index": 8198,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = u + 10; w = 17; b = v + 3; y = a + 13; a = r + 14; p = d + 18; l = i + 14; v = l + 20; c = w + 1; u = p + 2; d = w + 20; e = c + 20; i = e + 17. If w = 17, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"k": "v + 1", "d": "k + 20", "z": "d + 9", "a": "z + 7", "e": "a + 13", "f": "e + 10", "m": "v + 6", "g": "m + 14", "j": "g + 12", "l": "j + 4", "o": "l + 5", "u": "o + 19", "v": 15}, "premises": {"v": 15}, "target": "f"}, "answer": {"steps": [["e", "a + 13", "a + 23"], ["a", "z + 7", "z + 30"], ["z", "d + 9", "d + 39"], ["d", "k + 20", "k + 59"], ["k", "v + 1", "v + 60"], ["v", 15, "75"]], "target_var_name": "f", "target_value": 75, "value_dict": {"v": 15}, "is_reverse": true}} | 8,199 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = a + 13; m = v + 6; g = m + 14; o = l + 5; k = v + 1; u = o + 19; a = z + 7; f = e + 10; j = g + 12; l = j + 4; d = k + 20; z = d + 9; v = 15. Given that v = 15, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = a + 13 to f, which gives f = a + 23.\n2. Substitute a = z + 7 to f, which gives f = z + 30.\n3. Substitute z = d + 9 to f, which gives f = d + 39.\n4. Substitute d = k + 20 to f, which gives f = k + 59.\n5. Substitute k = v + 1 to f, which gives f = v + 60.\n6. Substitute v = 15 to f, which gives f = 75.\n\nThus, the final answer is f = \\boxed{75}.",
"index": 8199,
"question": "Suppose a collection of variables is related by the following definitions: e = a + 13; m = v + 6; g = m + 14; o = l + 5; k = v + 1; u = o + 19; a = z + 7; f = e + 10; j = g + 12; l = j + 4; d = k + 20; z = d + 9; v = 15. Given that v = 15, find the value of f.",
"split": "train"
} |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.