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": {"f": "c + 19", "i": "f + 15", "p": "i + 6", "j": "p + 4", "d": "j + 1", "q": "d + 18", "e": "c + 17", "k": "e + 11", "t": "k + 16", "s": "t + 15", "a": "s + 3", "r": "a + 7", "c": 14}, "premises": {"c": 14}, "target": "q"}, "answer": {"steps": [["d", "j + 1", "j + 19"], ["j", "p + 4", "p + 23"], ["p", "i + 6", "i + 29"], ["i", "f + 15", "f + 44"], ["f", "c + 19", "c + 63"], ["c", 14, "77"]], "target_var_name": "q", "target_value": 77, "value_dict": {"c": 14}, "is_reverse": true}} | 19,900 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = 14; t = k + 16; p = i + 6; s = t + 15; a = s + 3; r = a + 7; d = j + 1; i = f + 15; j = p + 4; k = e + 11; f = c + 19; q = d + 18; e = c + 17. If c = 14, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = j + 1 to q, which gives q = j + 19.\n2. Substitute j = p + 4 to q, which gives q = p + 23.\n3. Substitute p = i + 6 to q, which gives q = i + 29.\n4. Substitute i = f + 15 to q, which gives q = f + 44.\n5. Substitute f = c + 19 to q, which gives q = c + 63.\n6. Substitute c = 14 to q, which gives q = 77.\n\nThus, the final answer is q = \\boxed{77}.",
"index": 19900,
"question": "Consider a system of variables where each variable is defined as follows: c = 14; t = k + 16; p = i + 6; s = t + 15; a = s + 3; r = a + 7; d = j + 1; i = f + 15; j = p + 4; k = e + 11; f = c + 19; q = d + 18; e = c + 17. If c = 14, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"q": "z + 15", "a": "q + 6", "e": "a + 16", "x": "e + 2", "f": "x + 6", "s": "f + 19", "o": "z + 11", "v": "o + 5", "i": "v + 11", "l": "i + 14", "p": "l + 4", "r": "p + 20", "z": 10}, "premises": {"z": 10}, "target": "s"}, "answer": {"steps": [["f", "x + 6", "x + 25"], ["x", "e + 2", "e + 27"], ["e", "a + 16", "a + 43"], ["a", "q + 6", "q + 49"], ["q", "z + 15", "z + 64"], ["z", 10, "74"]], "target_var_name": "s", "target_value": 74, "value_dict": {"z": 10}, "is_reverse": true}} | 19,901 | 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 + 16; v = o + 5; z = 10; s = f + 19; p = l + 4; l = i + 14; q = z + 15; x = e + 2; f = x + 6; o = z + 11; a = q + 6; i = v + 11; r = p + 20. If z = 10, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = x + 6 to s, which gives s = x + 25.\n2. Substitute x = e + 2 to s, which gives s = e + 27.\n3. Substitute e = a + 16 to s, which gives s = a + 43.\n4. Substitute a = q + 6 to s, which gives s = q + 49.\n5. Substitute q = z + 15 to s, which gives s = z + 64.\n6. Substitute z = 10 to s, which gives s = 74.\n\nThus, the final answer is s = \\boxed{74}.",
"index": 19901,
"question": "Consider a system of variables where each variable is defined as follows: e = a + 16; v = o + 5; z = 10; s = f + 19; p = l + 4; l = i + 14; q = z + 15; x = e + 2; f = x + 6; o = z + 11; a = q + 6; i = v + 11; r = p + 20. If z = 10, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"g": "k + 9", "l": "g + 15", "o": "l + 15", "i": "o + 20", "b": "i + 17", "j": "b + 3", "m": "k + 15", "r": "m + 19", "u": "r + 17", "n": "u + 7", "x": "n + 17", "f": "x + 2", "k": 1}, "premises": {"k": 1}, "target": "j"}, "answer": {"steps": [["b", "i + 17", "i + 20"], ["i", "o + 20", "o + 40"], ["o", "l + 15", "l + 55"], ["l", "g + 15", "g + 70"], ["g", "k + 9", "k + 79"], ["k", 1, "80"]], "target_var_name": "j", "target_value": 80, "value_dict": {"k": 1}, "is_reverse": true}} | 19,902 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = m + 19; n = u + 7; k = 1; u = r + 17; x = n + 17; b = i + 17; i = o + 20; l = g + 15; j = b + 3; f = x + 2; o = l + 15; m = k + 15; g = k + 9. Given that k = 1, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = i + 17 to j, which gives j = i + 20.\n2. Substitute i = o + 20 to j, which gives j = o + 40.\n3. Substitute o = l + 15 to j, which gives j = l + 55.\n4. Substitute l = g + 15 to j, which gives j = g + 70.\n5. Substitute g = k + 9 to j, which gives j = k + 79.\n6. Substitute k = 1 to j, which gives j = 80.\n\nThus, the final answer is j = \\boxed{80}.",
"index": 19902,
"question": "Suppose a collection of variables is related by the following definitions: r = m + 19; n = u + 7; k = 1; u = r + 17; x = n + 17; b = i + 17; i = o + 20; l = g + 15; j = b + 3; f = x + 2; o = l + 15; m = k + 15; g = k + 9. Given that k = 1, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"a": "k + 5", "j": "a + 14", "z": "j + 20", "b": "z + 8", "q": "b + 10", "c": "q + 17", "u": "k + 10", "s": "u + 8", "x": "s + 1", "t": "x + 1", "n": "t + 19", "h": "n + 2", "k": 17}, "premises": {"k": 17}, "target": "c"}, "answer": {"steps": [["q", "b + 10", "b + 27"], ["b", "z + 8", "z + 35"], ["z", "j + 20", "j + 55"], ["j", "a + 14", "a + 69"], ["a", "k + 5", "k + 74"], ["k", 17, "91"]], "target_var_name": "c", "target_value": 91, "value_dict": {"k": 17}, "is_reverse": true}} | 19,903 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = u + 8; c = q + 17; h = n + 2; b = z + 8; j = a + 14; z = j + 20; k = 17; u = k + 10; a = k + 5; t = x + 1; x = s + 1; q = b + 10; n = t + 19. Given that k = 17, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = b + 10 to c, which gives c = b + 27.\n2. Substitute b = z + 8 to c, which gives c = z + 35.\n3. Substitute z = j + 20 to c, which gives c = j + 55.\n4. Substitute j = a + 14 to c, which gives c = a + 69.\n5. Substitute a = k + 5 to c, which gives c = k + 74.\n6. Substitute k = 17 to c, which gives c = 91.\n\nThus, the final answer is c = \\boxed{91}.",
"index": 19903,
"question": "Suppose a collection of variables is related by the following definitions: s = u + 8; c = q + 17; h = n + 2; b = z + 8; j = a + 14; z = j + 20; k = 17; u = k + 10; a = k + 5; t = x + 1; x = s + 1; q = b + 10; n = t + 19. Given that k = 17, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"s": "z + 19", "g": "s + 12", "b": "g + 14", "r": "b + 4", "h": "r + 4", "y": "h + 3", "p": "z + 2", "i": "p + 10", "q": "i + 18", "t": "q + 13", "e": "t + 7", "n": "e + 11", "z": 10}, "premises": {"z": 10}, "target": "y"}, "answer": {"steps": [["h", "r + 4", "r + 7"], ["r", "b + 4", "b + 11"], ["b", "g + 14", "g + 25"], ["g", "s + 12", "s + 37"], ["s", "z + 19", "z + 56"], ["z", 10, "66"]], "target_var_name": "y", "target_value": 66, "value_dict": {"z": 10}, "is_reverse": true}} | 19,904 | 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 = e + 11; g = s + 12; s = z + 19; i = p + 10; b = g + 14; y = h + 3; p = z + 2; t = q + 13; h = r + 4; r = b + 4; q = i + 18; z = 10; e = t + 7. If z = 10, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = r + 4 to y, which gives y = r + 7.\n2. Substitute r = b + 4 to y, which gives y = b + 11.\n3. Substitute b = g + 14 to y, which gives y = g + 25.\n4. Substitute g = s + 12 to y, which gives y = s + 37.\n5. Substitute s = z + 19 to y, which gives y = z + 56.\n6. Substitute z = 10 to y, which gives y = 66.\n\nThus, the final answer is y = \\boxed{66}.",
"index": 19904,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = e + 11; g = s + 12; s = z + 19; i = p + 10; b = g + 14; y = h + 3; p = z + 2; t = q + 13; h = r + 4; r = b + 4; q = i + 18; z = 10; e = t + 7. If z = 10, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"f": "l + 17", "g": "f + 9", "h": "g + 18", "z": "h + 2", "m": "z + 19", "k": "m + 18", "s": "l + 2", "n": "s + 3", "j": "n + 9", "o": "j + 13", "d": "o + 8", "t": "d + 18", "l": 3}, "premises": {"l": 3}, "target": "k"}, "answer": {"steps": [["m", "z + 19", "z + 37"], ["z", "h + 2", "h + 39"], ["h", "g + 18", "g + 57"], ["g", "f + 9", "f + 66"], ["f", "l + 17", "l + 83"], ["l", 3, "86"]], "target_var_name": "k", "target_value": 86, "value_dict": {"l": 3}, "is_reverse": true}} | 19,905 | 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 + 17; o = j + 13; j = n + 9; h = g + 18; z = h + 2; n = s + 3; k = m + 18; d = o + 8; s = l + 2; l = 3; g = f + 9; t = d + 18; m = z + 19. If l = 3, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = z + 19 to k, which gives k = z + 37.\n2. Substitute z = h + 2 to k, which gives k = h + 39.\n3. Substitute h = g + 18 to k, which gives k = g + 57.\n4. Substitute g = f + 9 to k, which gives k = f + 66.\n5. Substitute f = l + 17 to k, which gives k = l + 83.\n6. Substitute l = 3 to k, which gives k = 86.\n\nThus, the final answer is k = \\boxed{86}.",
"index": 19905,
"question": "Consider a system of variables where each variable is defined as follows: f = l + 17; o = j + 13; j = n + 9; h = g + 18; z = h + 2; n = s + 3; k = m + 18; d = o + 8; s = l + 2; l = 3; g = f + 9; t = d + 18; m = z + 19. If l = 3, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"u": "q + 9", "k": "u + 1", "s": "k + 13", "c": "s + 3", "f": "c + 14", "e": "f + 13", "z": "q + 5", "g": "z + 4", "d": "g + 13", "x": "d + 12", "w": "x + 20", "m": "w + 3", "q": 16}, "premises": {"q": 16}, "target": "e"}, "answer": {"steps": [["f", "c + 14", "c + 27"], ["c", "s + 3", "s + 30"], ["s", "k + 13", "k + 43"], ["k", "u + 1", "u + 44"], ["u", "q + 9", "q + 53"], ["q", 16, "69"]], "target_var_name": "e", "target_value": 69, "value_dict": {"q": 16}, "is_reverse": true}} | 19,906 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = q + 9; s = k + 13; z = q + 5; x = d + 12; c = s + 3; e = f + 13; f = c + 14; k = u + 1; m = w + 3; q = 16; d = g + 13; g = z + 4; w = x + 20. If q = 16, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = c + 14 to e, which gives e = c + 27.\n2. Substitute c = s + 3 to e, which gives e = s + 30.\n3. Substitute s = k + 13 to e, which gives e = k + 43.\n4. Substitute k = u + 1 to e, which gives e = u + 44.\n5. Substitute u = q + 9 to e, which gives e = q + 53.\n6. Substitute q = 16 to e, which gives e = 69.\n\nThus, the final answer is e = \\boxed{69}.",
"index": 19906,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = q + 9; s = k + 13; z = q + 5; x = d + 12; c = s + 3; e = f + 13; f = c + 14; k = u + 1; m = w + 3; q = 16; d = g + 13; g = z + 4; w = x + 20. If q = 16, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"z": "f + 3", "e": "z + 20", "l": "e + 9", "r": "l + 3", "t": "r + 11", "s": "t + 2", "b": "f + 20", "h": "b + 7", "w": "h + 9", "j": "w + 5", "n": "j + 15", "p": "n + 4", "f": 12}, "premises": {"f": 12}, "target": "s"}, "answer": {"steps": [["t", "r + 11", "r + 13"], ["r", "l + 3", "l + 16"], ["l", "e + 9", "e + 25"], ["e", "z + 20", "z + 45"], ["z", "f + 3", "f + 48"], ["f", 12, "60"]], "target_var_name": "s", "target_value": 60, "value_dict": {"f": 12}, "is_reverse": true}} | 19,907 | 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 = b + 7; n = j + 15; f = 12; e = z + 20; b = f + 20; j = w + 5; l = e + 9; s = t + 2; t = r + 11; w = h + 9; r = l + 3; z = f + 3; p = n + 4. If f = 12, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = r + 11 to s, which gives s = r + 13.\n2. Substitute r = l + 3 to s, which gives s = l + 16.\n3. Substitute l = e + 9 to s, which gives s = e + 25.\n4. Substitute e = z + 20 to s, which gives s = z + 45.\n5. Substitute z = f + 3 to s, which gives s = f + 48.\n6. Substitute f = 12 to s, which gives s = 60.\n\nThus, the final answer is s = \\boxed{60}.",
"index": 19907,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = b + 7; n = j + 15; f = 12; e = z + 20; b = f + 20; j = w + 5; l = e + 9; s = t + 2; t = r + 11; w = h + 9; r = l + 3; z = f + 3; p = n + 4. If f = 12, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"x": "a + 14", "j": "x + 17", "t": "j + 11", "y": "t + 13", "o": "y + 15", "w": "o + 3", "e": "a + 15", "k": "e + 7", "i": "k + 16", "l": "i + 14", "m": "l + 19", "n": "m + 18", "a": 6}, "premises": {"a": 6}, "target": "w"}, "answer": {"steps": [["o", "y + 15", "y + 18"], ["y", "t + 13", "t + 31"], ["t", "j + 11", "j + 42"], ["j", "x + 17", "x + 59"], ["x", "a + 14", "a + 73"], ["a", 6, "79"]], "target_var_name": "w", "target_value": 79, "value_dict": {"a": 6}, "is_reverse": true}} | 19,908 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = a + 15; t = j + 11; y = t + 13; j = x + 17; l = i + 14; a = 6; x = a + 14; i = k + 16; o = y + 15; m = l + 19; n = m + 18; k = e + 7; w = o + 3. If a = 6, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = y + 15 to w, which gives w = y + 18.\n2. Substitute y = t + 13 to w, which gives w = t + 31.\n3. Substitute t = j + 11 to w, which gives w = j + 42.\n4. Substitute j = x + 17 to w, which gives w = x + 59.\n5. Substitute x = a + 14 to w, which gives w = a + 73.\n6. Substitute a = 6 to w, which gives w = 79.\n\nThus, the final answer is w = \\boxed{79}.",
"index": 19908,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = a + 15; t = j + 11; y = t + 13; j = x + 17; l = i + 14; a = 6; x = a + 14; i = k + 16; o = y + 15; m = l + 19; n = m + 18; k = e + 7; w = o + 3. If a = 6, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"u": "c + 16", "b": "u + 4", "i": "b + 4", "o": "i + 9", "k": "o + 2", "q": "k + 7", "e": "c + 1", "m": "e + 17", "h": "m + 13", "d": "h + 7", "f": "d + 1", "j": "f + 1", "c": 13}, "premises": {"c": 13}, "target": "q"}, "answer": {"steps": [["k", "o + 2", "o + 9"], ["o", "i + 9", "i + 18"], ["i", "b + 4", "b + 22"], ["b", "u + 4", "u + 26"], ["u", "c + 16", "c + 42"], ["c", 13, "55"]], "target_var_name": "q", "target_value": 55, "value_dict": {"c": 13}, "is_reverse": true}} | 19,909 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = c + 16; q = k + 7; m = e + 17; h = m + 13; o = i + 9; e = c + 1; b = u + 4; i = b + 4; k = o + 2; j = f + 1; c = 13; f = d + 1; d = h + 7. If c = 13, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = o + 2 to q, which gives q = o + 9.\n2. Substitute o = i + 9 to q, which gives q = i + 18.\n3. Substitute i = b + 4 to q, which gives q = b + 22.\n4. Substitute b = u + 4 to q, which gives q = u + 26.\n5. Substitute u = c + 16 to q, which gives q = c + 42.\n6. Substitute c = 13 to q, which gives q = 55.\n\nThus, the final answer is q = \\boxed{55}.",
"index": 19909,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = c + 16; q = k + 7; m = e + 17; h = m + 13; o = i + 9; e = c + 1; b = u + 4; i = b + 4; k = o + 2; j = f + 1; c = 13; f = d + 1; d = h + 7. If c = 13, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"t": "y + 17", "l": "t + 4", "d": "l + 7", "h": "d + 5", "p": "h + 1", "k": "p + 12", "b": "y + 16", "u": "b + 17", "q": "u + 4", "e": "q + 10", "j": "e + 19", "o": "j + 14", "y": 10}, "premises": {"y": 10}, "target": "k"}, "answer": {"steps": [["p", "h + 1", "h + 13"], ["h", "d + 5", "d + 18"], ["d", "l + 7", "l + 25"], ["l", "t + 4", "t + 29"], ["t", "y + 17", "y + 46"], ["y", 10, "56"]], "target_var_name": "k", "target_value": 56, "value_dict": {"y": 10}, "is_reverse": true}} | 19,910 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = q + 10; k = p + 12; l = t + 4; t = y + 17; p = h + 1; o = j + 14; u = b + 17; b = y + 16; y = 10; j = e + 19; d = l + 7; q = u + 4; h = d + 5. Given that y = 10, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = h + 1 to k, which gives k = h + 13.\n2. Substitute h = d + 5 to k, which gives k = d + 18.\n3. Substitute d = l + 7 to k, which gives k = l + 25.\n4. Substitute l = t + 4 to k, which gives k = t + 29.\n5. Substitute t = y + 17 to k, which gives k = y + 46.\n6. Substitute y = 10 to k, which gives k = 56.\n\nThus, the final answer is k = \\boxed{56}.",
"index": 19910,
"question": "Suppose a collection of variables is related by the following definitions: e = q + 10; k = p + 12; l = t + 4; t = y + 17; p = h + 1; o = j + 14; u = b + 17; b = y + 16; y = 10; j = e + 19; d = l + 7; q = u + 4; h = d + 5. Given that y = 10, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"w": "o + 10", "h": "w + 13", "x": "h + 5", "k": "x + 12", "s": "k + 11", "l": "s + 4", "a": "o + 4", "p": "a + 3", "i": "p + 10", "t": "i + 6", "j": "t + 3", "g": "j + 8", "o": 10}, "premises": {"o": 10}, "target": "l"}, "answer": {"steps": [["s", "k + 11", "k + 15"], ["k", "x + 12", "x + 27"], ["x", "h + 5", "h + 32"], ["h", "w + 13", "w + 45"], ["w", "o + 10", "o + 55"], ["o", 10, "65"]], "target_var_name": "l", "target_value": 65, "value_dict": {"o": 10}, "is_reverse": true}} | 19,911 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = k + 11; k = x + 12; t = i + 6; p = a + 3; g = j + 8; i = p + 10; x = h + 5; j = t + 3; w = o + 10; h = w + 13; o = 10; a = o + 4; l = s + 4. If o = 10, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = k + 11 to l, which gives l = k + 15.\n2. Substitute k = x + 12 to l, which gives l = x + 27.\n3. Substitute x = h + 5 to l, which gives l = h + 32.\n4. Substitute h = w + 13 to l, which gives l = w + 45.\n5. Substitute w = o + 10 to l, which gives l = o + 55.\n6. Substitute o = 10 to l, which gives l = 65.\n\nThus, the final answer is l = \\boxed{65}.",
"index": 19911,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = k + 11; k = x + 12; t = i + 6; p = a + 3; g = j + 8; i = p + 10; x = h + 5; j = t + 3; w = o + 10; h = w + 13; o = 10; a = o + 4; l = s + 4. If o = 10, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"d": "y + 5", "r": "d + 5", "b": "r + 12", "i": "b + 20", "p": "i + 13", "e": "p + 1", "g": "y + 14", "j": "g + 9", "w": "j + 2", "x": "w + 11", "c": "x + 11", "l": "c + 12", "y": 7}, "premises": {"y": 7}, "target": "e"}, "answer": {"steps": [["p", "i + 13", "i + 14"], ["i", "b + 20", "b + 34"], ["b", "r + 12", "r + 46"], ["r", "d + 5", "d + 51"], ["d", "y + 5", "y + 56"], ["y", 7, "63"]], "target_var_name": "e", "target_value": 63, "value_dict": {"y": 7}, "is_reverse": true}} | 19,912 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = x + 11; r = d + 5; b = r + 12; e = p + 1; x = w + 11; d = y + 5; l = c + 12; y = 7; g = y + 14; p = i + 13; i = b + 20; w = j + 2; j = g + 9. If y = 7, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = i + 13 to e, which gives e = i + 14.\n2. Substitute i = b + 20 to e, which gives e = b + 34.\n3. Substitute b = r + 12 to e, which gives e = r + 46.\n4. Substitute r = d + 5 to e, which gives e = d + 51.\n5. Substitute d = y + 5 to e, which gives e = y + 56.\n6. Substitute y = 7 to e, which gives e = 63.\n\nThus, the final answer is e = \\boxed{63}.",
"index": 19912,
"question": "Consider a system of variables where each variable is defined as follows: c = x + 11; r = d + 5; b = r + 12; e = p + 1; x = w + 11; d = y + 5; l = c + 12; y = 7; g = y + 14; p = i + 13; i = b + 20; w = j + 2; j = g + 9. If y = 7, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"d": "p + 4", "n": "d + 20", "y": "n + 9", "h": "y + 1", "o": "h + 4", "s": "o + 10", "e": "p + 12", "i": "e + 3", "l": "i + 4", "j": "l + 13", "w": "j + 19", "m": "w + 5", "p": 1}, "premises": {"p": 1}, "target": "s"}, "answer": {"steps": [["o", "h + 4", "h + 14"], ["h", "y + 1", "y + 15"], ["y", "n + 9", "n + 24"], ["n", "d + 20", "d + 44"], ["d", "p + 4", "p + 48"], ["p", 1, "49"]], "target_var_name": "s", "target_value": 49, "value_dict": {"p": 1}, "is_reverse": true}} | 19,913 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = o + 10; w = j + 19; n = d + 20; h = y + 1; l = i + 4; o = h + 4; y = n + 9; p = 1; e = p + 12; d = p + 4; m = w + 5; i = e + 3; j = l + 13. Given that p = 1, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = h + 4 to s, which gives s = h + 14.\n2. Substitute h = y + 1 to s, which gives s = y + 15.\n3. Substitute y = n + 9 to s, which gives s = n + 24.\n4. Substitute n = d + 20 to s, which gives s = d + 44.\n5. Substitute d = p + 4 to s, which gives s = p + 48.\n6. Substitute p = 1 to s, which gives s = 49.\n\nThus, the final answer is s = \\boxed{49}.",
"index": 19913,
"question": "Suppose a collection of variables is related by the following definitions: s = o + 10; w = j + 19; n = d + 20; h = y + 1; l = i + 4; o = h + 4; y = n + 9; p = 1; e = p + 12; d = p + 4; m = w + 5; i = e + 3; j = l + 13. Given that p = 1, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"o": "b + 9", "s": "o + 4", "k": "s + 10", "e": "k + 5", "w": "e + 15", "t": "w + 4", "p": "b + 20", "j": "p + 1", "r": "j + 11", "z": "r + 16", "i": "z + 8", "l": "i + 18", "b": 15}, "premises": {"b": 15}, "target": "t"}, "answer": {"steps": [["w", "e + 15", "e + 19"], ["e", "k + 5", "k + 24"], ["k", "s + 10", "s + 34"], ["s", "o + 4", "o + 38"], ["o", "b + 9", "b + 47"], ["b", 15, "62"]], "target_var_name": "t", "target_value": 62, "value_dict": {"b": 15}, "is_reverse": true}} | 19,914 | 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 = k + 5; p = b + 20; s = o + 4; i = z + 8; l = i + 18; t = w + 4; z = r + 16; b = 15; o = b + 9; w = e + 15; r = j + 11; j = p + 1; k = s + 10. If b = 15, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = e + 15 to t, which gives t = e + 19.\n2. Substitute e = k + 5 to t, which gives t = k + 24.\n3. Substitute k = s + 10 to t, which gives t = s + 34.\n4. Substitute s = o + 4 to t, which gives t = o + 38.\n5. Substitute o = b + 9 to t, which gives t = b + 47.\n6. Substitute b = 15 to t, which gives t = 62.\n\nThus, the final answer is t = \\boxed{62}.",
"index": 19914,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = k + 5; p = b + 20; s = o + 4; i = z + 8; l = i + 18; t = w + 4; z = r + 16; b = 15; o = b + 9; w = e + 15; r = j + 11; j = p + 1; k = s + 10. If b = 15, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"k": "b + 18", "s": "k + 14", "c": "s + 10", "x": "c + 12", "d": "x + 9", "e": "d + 4", "q": "b + 4", "z": "q + 14", "o": "z + 20", "j": "o + 13", "l": "j + 19", "m": "l + 7", "b": 7}, "premises": {"b": 7}, "target": "e"}, "answer": {"steps": [["d", "x + 9", "x + 13"], ["x", "c + 12", "c + 25"], ["c", "s + 10", "s + 35"], ["s", "k + 14", "k + 49"], ["k", "b + 18", "b + 67"], ["b", 7, "74"]], "target_var_name": "e", "target_value": 74, "value_dict": {"b": 7}, "is_reverse": true}} | 19,915 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = 7; d = x + 9; z = q + 14; q = b + 4; m = l + 7; x = c + 12; l = j + 19; o = z + 20; c = s + 10; s = k + 14; e = d + 4; j = o + 13; k = b + 18. Given that b = 7, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = x + 9 to e, which gives e = x + 13.\n2. Substitute x = c + 12 to e, which gives e = c + 25.\n3. Substitute c = s + 10 to e, which gives e = s + 35.\n4. Substitute s = k + 14 to e, which gives e = k + 49.\n5. Substitute k = b + 18 to e, which gives e = b + 67.\n6. Substitute b = 7 to e, which gives e = 74.\n\nThus, the final answer is e = \\boxed{74}.",
"index": 19915,
"question": "Suppose a collection of variables is related by the following definitions: b = 7; d = x + 9; z = q + 14; q = b + 4; m = l + 7; x = c + 12; l = j + 19; o = z + 20; c = s + 10; s = k + 14; e = d + 4; j = o + 13; k = b + 18. Given that b = 7, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"u": "k + 13", "f": "u + 20", "x": "f + 12", "e": "x + 19", "b": "e + 4", "t": "b + 1", "c": "k + 9", "g": "c + 11", "i": "g + 9", "v": "i + 1", "o": "v + 15", "d": "o + 11", "k": 17}, "premises": {"k": 17}, "target": "t"}, "answer": {"steps": [["b", "e + 4", "e + 5"], ["e", "x + 19", "x + 24"], ["x", "f + 12", "f + 36"], ["f", "u + 20", "u + 56"], ["u", "k + 13", "k + 69"], ["k", 17, "86"]], "target_var_name": "t", "target_value": 86, "value_dict": {"k": 17}, "is_reverse": true}} | 19,916 | 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 = e + 4; f = u + 20; i = g + 9; o = v + 15; g = c + 11; v = i + 1; e = x + 19; c = k + 9; k = 17; x = f + 12; u = k + 13; t = b + 1; d = o + 11. If k = 17, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = e + 4 to t, which gives t = e + 5.\n2. Substitute e = x + 19 to t, which gives t = x + 24.\n3. Substitute x = f + 12 to t, which gives t = f + 36.\n4. Substitute f = u + 20 to t, which gives t = u + 56.\n5. Substitute u = k + 13 to t, which gives t = k + 69.\n6. Substitute k = 17 to t, which gives t = 86.\n\nThus, the final answer is t = \\boxed{86}.",
"index": 19916,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = e + 4; f = u + 20; i = g + 9; o = v + 15; g = c + 11; v = i + 1; e = x + 19; c = k + 9; k = 17; x = f + 12; u = k + 13; t = b + 1; d = o + 11. If k = 17, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"b": "f + 3", "k": "b + 2", "o": "k + 7", "q": "o + 19", "d": "q + 2", "i": "d + 6", "v": "f + 11", "x": "v + 15", "s": "x + 5", "e": "s + 20", "p": "e + 5", "a": "p + 11", "f": 6}, "premises": {"f": 6}, "target": "i"}, "answer": {"steps": [["d", "q + 2", "q + 8"], ["q", "o + 19", "o + 27"], ["o", "k + 7", "k + 34"], ["k", "b + 2", "b + 36"], ["b", "f + 3", "f + 39"], ["f", 6, "45"]], "target_var_name": "i", "target_value": 45, "value_dict": {"f": 6}, "is_reverse": true}} | 19,917 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = s + 20; b = f + 3; k = b + 2; q = o + 19; o = k + 7; x = v + 15; i = d + 6; f = 6; d = q + 2; p = e + 5; s = x + 5; a = p + 11; v = f + 11. Given that f = 6, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = q + 2 to i, which gives i = q + 8.\n2. Substitute q = o + 19 to i, which gives i = o + 27.\n3. Substitute o = k + 7 to i, which gives i = k + 34.\n4. Substitute k = b + 2 to i, which gives i = b + 36.\n5. Substitute b = f + 3 to i, which gives i = f + 39.\n6. Substitute f = 6 to i, which gives i = 45.\n\nThus, the final answer is i = \\boxed{45}.",
"index": 19917,
"question": "Suppose a collection of variables is related by the following definitions: e = s + 20; b = f + 3; k = b + 2; q = o + 19; o = k + 7; x = v + 15; i = d + 6; f = 6; d = q + 2; p = e + 5; s = x + 5; a = p + 11; v = f + 11. Given that f = 6, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"f": "m + 2", "q": "f + 11", "a": "q + 8", "d": "a + 18", "t": "d + 12", "w": "t + 17", "i": "m + 7", "h": "i + 2", "v": "h + 2", "z": "v + 1", "x": "z + 3", "l": "x + 8", "m": 12}, "premises": {"m": 12}, "target": "w"}, "answer": {"steps": [["t", "d + 12", "d + 29"], ["d", "a + 18", "a + 47"], ["a", "q + 8", "q + 55"], ["q", "f + 11", "f + 66"], ["f", "m + 2", "m + 68"], ["m", 12, "80"]], "target_var_name": "w", "target_value": 80, "value_dict": {"m": 12}, "is_reverse": true}} | 19,918 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = 12; t = d + 12; d = a + 18; x = z + 3; q = f + 11; a = q + 8; h = i + 2; v = h + 2; f = m + 2; i = m + 7; w = t + 17; l = x + 8; z = v + 1. Given that m = 12, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = d + 12 to w, which gives w = d + 29.\n2. Substitute d = a + 18 to w, which gives w = a + 47.\n3. Substitute a = q + 8 to w, which gives w = q + 55.\n4. Substitute q = f + 11 to w, which gives w = f + 66.\n5. Substitute f = m + 2 to w, which gives w = m + 68.\n6. Substitute m = 12 to w, which gives w = 80.\n\nThus, the final answer is w = \\boxed{80}.",
"index": 19918,
"question": "Suppose a collection of variables is related by the following definitions: m = 12; t = d + 12; d = a + 18; x = z + 3; q = f + 11; a = q + 8; h = i + 2; v = h + 2; f = m + 2; i = m + 7; w = t + 17; l = x + 8; z = v + 1. Given that m = 12, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"j": "r + 8", "v": "j + 19", "a": "v + 9", "k": "a + 11", "f": "k + 2", "e": "f + 19", "n": "r + 13", "o": "n + 1", "h": "o + 19", "t": "h + 16", "i": "t + 19", "z": "i + 10", "r": 10}, "premises": {"r": 10}, "target": "e"}, "answer": {"steps": [["f", "k + 2", "k + 21"], ["k", "a + 11", "a + 32"], ["a", "v + 9", "v + 41"], ["v", "j + 19", "j + 60"], ["j", "r + 8", "r + 68"], ["r", 10, "78"]], "target_var_name": "e", "target_value": 78, "value_dict": {"r": 10}, "is_reverse": true}} | 19,919 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = 10; f = k + 2; o = n + 1; i = t + 19; a = v + 9; k = a + 11; t = h + 16; n = r + 13; e = f + 19; v = j + 19; z = i + 10; j = r + 8; h = o + 19. If r = 10, determine 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 f = k + 2 to e, which gives e = k + 21.\n2. Substitute k = a + 11 to e, which gives e = a + 32.\n3. Substitute a = v + 9 to e, which gives e = v + 41.\n4. Substitute v = j + 19 to e, which gives e = j + 60.\n5. Substitute j = r + 8 to e, which gives e = r + 68.\n6. Substitute r = 10 to e, which gives e = 78.\n\nThus, the final answer is e = \\boxed{78}.",
"index": 19919,
"question": "Consider a system of variables where each variable is defined as follows: r = 10; f = k + 2; o = n + 1; i = t + 19; a = v + 9; k = a + 11; t = h + 16; n = r + 13; e = f + 19; v = j + 19; z = i + 10; j = r + 8; h = o + 19. If r = 10, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"h": "s + 10", "y": "h + 17", "r": "y + 16", "q": "r + 20", "j": "q + 8", "a": "j + 4", "w": "s + 2", "n": "w + 3", "x": "n + 1", "g": "x + 19", "c": "g + 6", "f": "c + 6", "s": 4}, "premises": {"s": 4}, "target": "a"}, "answer": {"steps": [["j", "q + 8", "q + 12"], ["q", "r + 20", "r + 32"], ["r", "y + 16", "y + 48"], ["y", "h + 17", "h + 65"], ["h", "s + 10", "s + 75"], ["s", 4, "79"]], "target_var_name": "a", "target_value": 79, "value_dict": {"s": 4}, "is_reverse": true}} | 19,920 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = g + 6; f = c + 6; x = n + 1; n = w + 3; w = s + 2; y = h + 17; h = s + 10; s = 4; g = x + 19; r = y + 16; j = q + 8; q = r + 20; a = j + 4. If s = 4, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = q + 8 to a, which gives a = q + 12.\n2. Substitute q = r + 20 to a, which gives a = r + 32.\n3. Substitute r = y + 16 to a, which gives a = y + 48.\n4. Substitute y = h + 17 to a, which gives a = h + 65.\n5. Substitute h = s + 10 to a, which gives a = s + 75.\n6. Substitute s = 4 to a, which gives a = 79.\n\nThus, the final answer is a = \\boxed{79}.",
"index": 19920,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = g + 6; f = c + 6; x = n + 1; n = w + 3; w = s + 2; y = h + 17; h = s + 10; s = 4; g = x + 19; r = y + 16; j = q + 8; q = r + 20; a = j + 4. If s = 4, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"w": "g + 13", "a": "w + 13", "u": "a + 19", "z": "u + 19", "v": "z + 4", "o": "v + 17", "n": "g + 11", "p": "n + 20", "q": "p + 16", "r": "q + 16", "y": "r + 7", "m": "y + 1", "g": 7}, "premises": {"g": 7}, "target": "o"}, "answer": {"steps": [["v", "z + 4", "z + 21"], ["z", "u + 19", "u + 40"], ["u", "a + 19", "a + 59"], ["a", "w + 13", "w + 72"], ["w", "g + 13", "g + 85"], ["g", 7, "92"]], "target_var_name": "o", "target_value": 92, "value_dict": {"g": 7}, "is_reverse": true}} | 19,921 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = v + 17; a = w + 13; p = n + 20; y = r + 7; w = g + 13; q = p + 16; g = 7; z = u + 19; v = z + 4; m = y + 1; u = a + 19; r = q + 16; n = g + 11. If g = 7, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = z + 4 to o, which gives o = z + 21.\n2. Substitute z = u + 19 to o, which gives o = u + 40.\n3. Substitute u = a + 19 to o, which gives o = a + 59.\n4. Substitute a = w + 13 to o, which gives o = w + 72.\n5. Substitute w = g + 13 to o, which gives o = g + 85.\n6. Substitute g = 7 to o, which gives o = 92.\n\nThus, the final answer is o = \\boxed{92}.",
"index": 19921,
"question": "Consider a system of variables where each variable is defined as follows: o = v + 17; a = w + 13; p = n + 20; y = r + 7; w = g + 13; q = p + 16; g = 7; z = u + 19; v = z + 4; m = y + 1; u = a + 19; r = q + 16; n = g + 11. If g = 7, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"v": "x + 5", "h": "v + 9", "j": "h + 8", "q": "j + 20", "c": "q + 11", "k": "c + 14", "a": "x + 11", "f": "a + 18", "s": "f + 14", "n": "s + 8", "z": "n + 16", "m": "z + 6", "x": 20}, "premises": {"x": 20}, "target": "k"}, "answer": {"steps": [["c", "q + 11", "q + 25"], ["q", "j + 20", "j + 45"], ["j", "h + 8", "h + 53"], ["h", "v + 9", "v + 62"], ["v", "x + 5", "x + 67"], ["x", 20, "87"]], "target_var_name": "k", "target_value": 87, "value_dict": {"x": 20}, "is_reverse": true}} | 19,922 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = n + 16; h = v + 9; v = x + 5; f = a + 18; m = z + 6; n = s + 8; k = c + 14; s = f + 14; c = q + 11; q = j + 20; x = 20; j = h + 8; a = x + 11. If x = 20, what is the resulting 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 c = q + 11 to k, which gives k = q + 25.\n2. Substitute q = j + 20 to k, which gives k = j + 45.\n3. Substitute j = h + 8 to k, which gives k = h + 53.\n4. Substitute h = v + 9 to k, which gives k = v + 62.\n5. Substitute v = x + 5 to k, which gives k = x + 67.\n6. Substitute x = 20 to k, which gives k = 87.\n\nThus, the final answer is k = \\boxed{87}.",
"index": 19922,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = n + 16; h = v + 9; v = x + 5; f = a + 18; m = z + 6; n = s + 8; k = c + 14; s = f + 14; c = q + 11; q = j + 20; x = 20; j = h + 8; a = x + 11. If x = 20, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"u": "q + 11", "i": "u + 5", "g": "i + 19", "f": "g + 1", "o": "f + 2", "n": "o + 15", "r": "q + 11", "d": "r + 15", "m": "d + 4", "k": "m + 2", "t": "k + 12", "e": "t + 5", "q": 16}, "premises": {"q": 16}, "target": "n"}, "answer": {"steps": [["o", "f + 2", "f + 17"], ["f", "g + 1", "g + 18"], ["g", "i + 19", "i + 37"], ["i", "u + 5", "u + 42"], ["u", "q + 11", "q + 53"], ["q", 16, "69"]], "target_var_name": "n", "target_value": 69, "value_dict": {"q": 16}, "is_reverse": true}} | 19,923 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = r + 15; f = g + 1; o = f + 2; u = q + 11; e = t + 5; k = m + 2; m = d + 4; q = 16; g = i + 19; n = o + 15; i = u + 5; t = k + 12; r = q + 11. Given that q = 16, 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 o = f + 2 to n, which gives n = f + 17.\n2. Substitute f = g + 1 to n, which gives n = g + 18.\n3. Substitute g = i + 19 to n, which gives n = i + 37.\n4. Substitute i = u + 5 to n, which gives n = u + 42.\n5. Substitute u = q + 11 to n, which gives n = q + 53.\n6. Substitute q = 16 to n, which gives n = 69.\n\nThus, the final answer is n = \\boxed{69}.",
"index": 19923,
"question": "Suppose a collection of variables is related by the following definitions: d = r + 15; f = g + 1; o = f + 2; u = q + 11; e = t + 5; k = m + 2; m = d + 4; q = 16; g = i + 19; n = o + 15; i = u + 5; t = k + 12; r = q + 11. Given that q = 16, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"f": "e + 18", "b": "f + 8", "w": "b + 15", "k": "w + 14", "m": "k + 7", "q": "m + 4", "g": "e + 12", "t": "g + 9", "u": "t + 10", "l": "u + 6", "p": "l + 13", "s": "p + 9", "e": 1}, "premises": {"e": 1}, "target": "q"}, "answer": {"steps": [["m", "k + 7", "k + 11"], ["k", "w + 14", "w + 25"], ["w", "b + 15", "b + 40"], ["b", "f + 8", "f + 48"], ["f", "e + 18", "e + 66"], ["e", 1, "67"]], "target_var_name": "q", "target_value": 67, "value_dict": {"e": 1}, "is_reverse": true}} | 19,924 | 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 = 1; q = m + 4; f = e + 18; w = b + 15; k = w + 14; u = t + 10; m = k + 7; p = l + 13; l = u + 6; s = p + 9; t = g + 9; b = f + 8; g = e + 12. If e = 1, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = k + 7 to q, which gives q = k + 11.\n2. Substitute k = w + 14 to q, which gives q = w + 25.\n3. Substitute w = b + 15 to q, which gives q = b + 40.\n4. Substitute b = f + 8 to q, which gives q = f + 48.\n5. Substitute f = e + 18 to q, which gives q = e + 66.\n6. Substitute e = 1 to q, which gives q = 67.\n\nThus, the final answer is q = \\boxed{67}.",
"index": 19924,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = 1; q = m + 4; f = e + 18; w = b + 15; k = w + 14; u = t + 10; m = k + 7; p = l + 13; l = u + 6; s = p + 9; t = g + 9; b = f + 8; g = e + 12. If e = 1, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"u": "c + 1", "a": "u + 1", "y": "a + 15", "m": "y + 1", "e": "m + 10", "j": "e + 2", "o": "c + 20", "k": "o + 15", "g": "k + 2", "q": "g + 19", "h": "q + 10", "d": "h + 12", "c": 12}, "premises": {"c": 12}, "target": "j"}, "answer": {"steps": [["e", "m + 10", "m + 12"], ["m", "y + 1", "y + 13"], ["y", "a + 15", "a + 28"], ["a", "u + 1", "u + 29"], ["u", "c + 1", "c + 30"], ["c", 12, "42"]], "target_var_name": "j", "target_value": 42, "value_dict": {"c": 12}, "is_reverse": true}} | 19,925 | 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 = e + 2; h = q + 10; g = k + 2; u = c + 1; o = c + 20; a = u + 1; y = a + 15; k = o + 15; m = y + 1; e = m + 10; d = h + 12; c = 12; q = g + 19. If c = 12, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 42,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = m + 10 to j, which gives j = m + 12.\n2. Substitute m = y + 1 to j, which gives j = y + 13.\n3. Substitute y = a + 15 to j, which gives j = a + 28.\n4. Substitute a = u + 1 to j, which gives j = u + 29.\n5. Substitute u = c + 1 to j, which gives j = c + 30.\n6. Substitute c = 12 to j, which gives j = 42.\n\nThus, the final answer is j = \\boxed{42}.",
"index": 19925,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = e + 2; h = q + 10; g = k + 2; u = c + 1; o = c + 20; a = u + 1; y = a + 15; k = o + 15; m = y + 1; e = m + 10; d = h + 12; c = 12; q = g + 19. If c = 12, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"z": "w + 10", "l": "z + 3", "b": "l + 9", "q": "b + 16", "g": "q + 16", "i": "g + 20", "o": "w + 16", "h": "o + 7", "p": "h + 13", "v": "p + 9", "m": "v + 15", "t": "m + 19", "w": 10}, "premises": {"w": 10}, "target": "i"}, "answer": {"steps": [["g", "q + 16", "q + 36"], ["q", "b + 16", "b + 52"], ["b", "l + 9", "l + 61"], ["l", "z + 3", "z + 64"], ["z", "w + 10", "w + 74"], ["w", 10, "84"]], "target_var_name": "i", "target_value": 84, "value_dict": {"w": 10}, "is_reverse": true}} | 19,926 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = h + 13; o = w + 16; z = w + 10; m = v + 15; q = b + 16; t = m + 19; b = l + 9; i = g + 20; h = o + 7; l = z + 3; w = 10; g = q + 16; v = p + 9. If w = 10, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = q + 16 to i, which gives i = q + 36.\n2. Substitute q = b + 16 to i, which gives i = b + 52.\n3. Substitute b = l + 9 to i, which gives i = l + 61.\n4. Substitute l = z + 3 to i, which gives i = z + 64.\n5. Substitute z = w + 10 to i, which gives i = w + 74.\n6. Substitute w = 10 to i, which gives i = 84.\n\nThus, the final answer is i = \\boxed{84}.",
"index": 19926,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = h + 13; o = w + 16; z = w + 10; m = v + 15; q = b + 16; t = m + 19; b = l + 9; i = g + 20; h = o + 7; l = z + 3; w = 10; g = q + 16; v = p + 9. If w = 10, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"m": "f + 19", "h": "m + 10", "u": "h + 5", "l": "u + 12", "v": "l + 13", "t": "v + 2", "w": "f + 15", "x": "w + 3", "j": "x + 9", "b": "j + 16", "e": "b + 15", "s": "e + 13", "f": 13}, "premises": {"f": 13}, "target": "t"}, "answer": {"steps": [["v", "l + 13", "l + 15"], ["l", "u + 12", "u + 27"], ["u", "h + 5", "h + 32"], ["h", "m + 10", "m + 42"], ["m", "f + 19", "f + 61"], ["f", 13, "74"]], "target_var_name": "t", "target_value": 74, "value_dict": {"f": 13}, "is_reverse": true}} | 19,927 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = e + 13; j = x + 9; h = m + 10; b = j + 16; t = v + 2; v = l + 13; f = 13; e = b + 15; x = w + 3; u = h + 5; l = u + 12; m = f + 19; w = f + 15. Given that f = 13, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = l + 13 to t, which gives t = l + 15.\n2. Substitute l = u + 12 to t, which gives t = u + 27.\n3. Substitute u = h + 5 to t, which gives t = h + 32.\n4. Substitute h = m + 10 to t, which gives t = m + 42.\n5. Substitute m = f + 19 to t, which gives t = f + 61.\n6. Substitute f = 13 to t, which gives t = 74.\n\nThus, the final answer is t = \\boxed{74}.",
"index": 19927,
"question": "Suppose a collection of variables is related by the following definitions: s = e + 13; j = x + 9; h = m + 10; b = j + 16; t = v + 2; v = l + 13; f = 13; e = b + 15; x = w + 3; u = h + 5; l = u + 12; m = f + 19; w = f + 15. Given that f = 13, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"c": "e + 9", "v": "c + 8", "i": "v + 18", "y": "i + 12", "u": "y + 14", "q": "u + 9", "m": "e + 6", "x": "m + 3", "z": "x + 5", "a": "z + 10", "f": "a + 5", "j": "f + 18", "e": 9}, "premises": {"e": 9}, "target": "q"}, "answer": {"steps": [["u", "y + 14", "y + 23"], ["y", "i + 12", "i + 35"], ["i", "v + 18", "v + 53"], ["v", "c + 8", "c + 61"], ["c", "e + 9", "e + 70"], ["e", 9, "79"]], "target_var_name": "q", "target_value": 79, "value_dict": {"e": 9}, "is_reverse": true}} | 19,928 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = z + 10; z = x + 5; i = v + 18; e = 9; f = a + 5; x = m + 3; v = c + 8; m = e + 6; c = e + 9; u = y + 14; j = f + 18; y = i + 12; q = u + 9. If e = 9, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = y + 14 to q, which gives q = y + 23.\n2. Substitute y = i + 12 to q, which gives q = i + 35.\n3. Substitute i = v + 18 to q, which gives q = v + 53.\n4. Substitute v = c + 8 to q, which gives q = c + 61.\n5. Substitute c = e + 9 to q, which gives q = e + 70.\n6. Substitute e = 9 to q, which gives q = 79.\n\nThus, the final answer is q = \\boxed{79}.",
"index": 19928,
"question": "Consider a system of variables where each variable is defined as follows: a = z + 10; z = x + 5; i = v + 18; e = 9; f = a + 5; x = m + 3; v = c + 8; m = e + 6; c = e + 9; u = y + 14; j = f + 18; y = i + 12; q = u + 9. If e = 9, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"m": "l + 1", "r": "m + 19", "w": "r + 5", "p": "w + 9", "s": "p + 9", "f": "s + 9", "o": "l + 10", "e": "o + 13", "h": "e + 2", "z": "h + 4", "a": "z + 4", "t": "a + 17", "l": 10}, "premises": {"l": 10}, "target": "f"}, "answer": {"steps": [["s", "p + 9", "p + 18"], ["p", "w + 9", "w + 27"], ["w", "r + 5", "r + 32"], ["r", "m + 19", "m + 51"], ["m", "l + 1", "l + 52"], ["l", 10, "62"]], "target_var_name": "f", "target_value": 62, "value_dict": {"l": 10}, "is_reverse": true}} | 19,929 | 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 + 19; z = h + 4; l = 10; a = z + 4; w = r + 5; o = l + 10; s = p + 9; p = w + 9; t = a + 17; f = s + 9; e = o + 13; m = l + 1; h = e + 2. If l = 10, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = p + 9 to f, which gives f = p + 18.\n2. Substitute p = w + 9 to f, which gives f = w + 27.\n3. Substitute w = r + 5 to f, which gives f = r + 32.\n4. Substitute r = m + 19 to f, which gives f = m + 51.\n5. Substitute m = l + 1 to f, which gives f = l + 52.\n6. Substitute l = 10 to f, which gives f = 62.\n\nThus, the final answer is f = \\boxed{62}.",
"index": 19929,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = m + 19; z = h + 4; l = 10; a = z + 4; w = r + 5; o = l + 10; s = p + 9; p = w + 9; t = a + 17; f = s + 9; e = o + 13; m = l + 1; h = e + 2. If l = 10, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"d": "g + 16", "k": "d + 6", "f": "k + 7", "x": "f + 9", "l": "x + 18", "n": "l + 14", "a": "g + 7", "u": "a + 10", "z": "u + 6", "q": "z + 10", "b": "q + 19", "h": "b + 1", "g": 17}, "premises": {"g": 17}, "target": "n"}, "answer": {"steps": [["l", "x + 18", "x + 32"], ["x", "f + 9", "f + 41"], ["f", "k + 7", "k + 48"], ["k", "d + 6", "d + 54"], ["d", "g + 16", "g + 70"], ["g", 17, "87"]], "target_var_name": "n", "target_value": 87, "value_dict": {"g": 17}, "is_reverse": true}} | 19,930 | 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 = l + 14; k = d + 6; b = q + 19; h = b + 1; l = x + 18; x = f + 9; u = a + 10; g = 17; d = g + 16; f = k + 7; z = u + 6; a = g + 7; q = z + 10. If g = 17, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = x + 18 to n, which gives n = x + 32.\n2. Substitute x = f + 9 to n, which gives n = f + 41.\n3. Substitute f = k + 7 to n, which gives n = k + 48.\n4. Substitute k = d + 6 to n, which gives n = d + 54.\n5. Substitute d = g + 16 to n, which gives n = g + 70.\n6. Substitute g = 17 to n, which gives n = 87.\n\nThus, the final answer is n = \\boxed{87}.",
"index": 19930,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = l + 14; k = d + 6; b = q + 19; h = b + 1; l = x + 18; x = f + 9; u = a + 10; g = 17; d = g + 16; f = k + 7; z = u + 6; a = g + 7; q = z + 10. If g = 17, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"f": "l + 5", "o": "f + 2", "z": "o + 13", "v": "z + 2", "c": "v + 17", "e": "c + 11", "i": "l + 3", "g": "i + 5", "t": "g + 17", "u": "t + 20", "p": "u + 10", "y": "p + 5", "l": 8}, "premises": {"l": 8}, "target": "e"}, "answer": {"steps": [["c", "v + 17", "v + 28"], ["v", "z + 2", "z + 30"], ["z", "o + 13", "o + 43"], ["o", "f + 2", "f + 45"], ["f", "l + 5", "l + 50"], ["l", 8, "58"]], "target_var_name": "e", "target_value": 58, "value_dict": {"l": 8}, "is_reverse": true}} | 19,931 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = g + 17; e = c + 11; l = 8; z = o + 13; g = i + 5; i = l + 3; f = l + 5; u = t + 20; v = z + 2; p = u + 10; o = f + 2; c = v + 17; y = p + 5. If l = 8, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = v + 17 to e, which gives e = v + 28.\n2. Substitute v = z + 2 to e, which gives e = z + 30.\n3. Substitute z = o + 13 to e, which gives e = o + 43.\n4. Substitute o = f + 2 to e, which gives e = f + 45.\n5. Substitute f = l + 5 to e, which gives e = l + 50.\n6. Substitute l = 8 to e, which gives e = 58.\n\nThus, the final answer is e = \\boxed{58}.",
"index": 19931,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = g + 17; e = c + 11; l = 8; z = o + 13; g = i + 5; i = l + 3; f = l + 5; u = t + 20; v = z + 2; p = u + 10; o = f + 2; c = v + 17; y = p + 5. If l = 8, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"m": "b + 20", "n": "m + 5", "j": "n + 10", "a": "j + 1", "q": "a + 9", "w": "q + 18", "s": "b + 20", "o": "s + 3", "f": "o + 14", "d": "f + 5", "c": "d + 4", "e": "c + 2", "b": 15}, "premises": {"b": 15}, "target": "w"}, "answer": {"steps": [["q", "a + 9", "a + 27"], ["a", "j + 1", "j + 28"], ["j", "n + 10", "n + 38"], ["n", "m + 5", "m + 43"], ["m", "b + 20", "b + 63"], ["b", 15, "78"]], "target_var_name": "w", "target_value": 78, "value_dict": {"b": 15}, "is_reverse": true}} | 19,932 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = 15; a = j + 1; m = b + 20; e = c + 2; n = m + 5; f = o + 14; s = b + 20; c = d + 4; q = a + 9; o = s + 3; w = q + 18; d = f + 5; j = n + 10. If b = 15, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = a + 9 to w, which gives w = a + 27.\n2. Substitute a = j + 1 to w, which gives w = j + 28.\n3. Substitute j = n + 10 to w, which gives w = n + 38.\n4. Substitute n = m + 5 to w, which gives w = m + 43.\n5. Substitute m = b + 20 to w, which gives w = b + 63.\n6. Substitute b = 15 to w, which gives w = 78.\n\nThus, the final answer is w = \\boxed{78}.",
"index": 19932,
"question": "Consider a system of variables where each variable is defined as follows: b = 15; a = j + 1; m = b + 20; e = c + 2; n = m + 5; f = o + 14; s = b + 20; c = d + 4; q = a + 9; o = s + 3; w = q + 18; d = f + 5; j = n + 10. If b = 15, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"c": "s + 4", "d": "c + 2", "u": "d + 18", "g": "u + 9", "a": "g + 15", "o": "a + 20", "q": "s + 8", "z": "q + 11", "w": "z + 6", "t": "w + 20", "p": "t + 10", "e": "p + 17", "s": 17}, "premises": {"s": 17}, "target": "o"}, "answer": {"steps": [["a", "g + 15", "g + 35"], ["g", "u + 9", "u + 44"], ["u", "d + 18", "d + 62"], ["d", "c + 2", "c + 64"], ["c", "s + 4", "s + 68"], ["s", 17, "85"]], "target_var_name": "o", "target_value": 85, "value_dict": {"s": 17}, "is_reverse": true}} | 19,933 | 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 = p + 17; q = s + 8; o = a + 20; d = c + 2; u = d + 18; g = u + 9; t = w + 20; s = 17; p = t + 10; z = q + 11; w = z + 6; c = s + 4; a = g + 15. If s = 17, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = g + 15 to o, which gives o = g + 35.\n2. Substitute g = u + 9 to o, which gives o = u + 44.\n3. Substitute u = d + 18 to o, which gives o = d + 62.\n4. Substitute d = c + 2 to o, which gives o = c + 64.\n5. Substitute c = s + 4 to o, which gives o = s + 68.\n6. Substitute s = 17 to o, which gives o = 85.\n\nThus, the final answer is o = \\boxed{85}.",
"index": 19933,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = p + 17; q = s + 8; o = a + 20; d = c + 2; u = d + 18; g = u + 9; t = w + 20; s = 17; p = t + 10; z = q + 11; w = z + 6; c = s + 4; a = g + 15. If s = 17, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"w": "k + 12", "j": "w + 6", "l": "j + 6", "f": "l + 12", "t": "f + 7", "o": "t + 5", "y": "k + 12", "h": "y + 20", "q": "h + 18", "x": "q + 11", "u": "x + 14", "p": "u + 13", "k": 11}, "premises": {"k": 11}, "target": "o"}, "answer": {"steps": [["t", "f + 7", "f + 12"], ["f", "l + 12", "l + 24"], ["l", "j + 6", "j + 30"], ["j", "w + 6", "w + 36"], ["w", "k + 12", "k + 48"], ["k", 11, "59"]], "target_var_name": "o", "target_value": 59, "value_dict": {"k": 11}, "is_reverse": true}} | 19,934 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = 11; x = q + 11; h = y + 20; q = h + 18; w = k + 12; t = f + 7; p = u + 13; l = j + 6; j = w + 6; o = t + 5; f = l + 12; y = k + 12; u = x + 14. Given that k = 11, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = f + 7 to o, which gives o = f + 12.\n2. Substitute f = l + 12 to o, which gives o = l + 24.\n3. Substitute l = j + 6 to o, which gives o = j + 30.\n4. Substitute j = w + 6 to o, which gives o = w + 36.\n5. Substitute w = k + 12 to o, which gives o = k + 48.\n6. Substitute k = 11 to o, which gives o = 59.\n\nThus, the final answer is o = \\boxed{59}.",
"index": 19934,
"question": "Suppose a collection of variables is related by the following definitions: k = 11; x = q + 11; h = y + 20; q = h + 18; w = k + 12; t = f + 7; p = u + 13; l = j + 6; j = w + 6; o = t + 5; f = l + 12; y = k + 12; u = x + 14. Given that k = 11, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"u": "j + 4", "y": "u + 1", "w": "y + 16", "o": "w + 19", "z": "o + 16", "d": "z + 20", "x": "j + 9", "h": "x + 11", "f": "h + 13", "c": "f + 1", "t": "c + 11", "m": "t + 19", "j": 3}, "premises": {"j": 3}, "target": "d"}, "answer": {"steps": [["z", "o + 16", "o + 36"], ["o", "w + 19", "w + 55"], ["w", "y + 16", "y + 71"], ["y", "u + 1", "u + 72"], ["u", "j + 4", "j + 76"], ["j", 3, "79"]], "target_var_name": "d", "target_value": 79, "value_dict": {"j": 3}, "is_reverse": true}} | 19,935 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = c + 11; d = z + 20; h = x + 11; o = w + 19; z = o + 16; w = y + 16; y = u + 1; x = j + 9; f = h + 13; m = t + 19; u = j + 4; c = f + 1; j = 3. If j = 3, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = o + 16 to d, which gives d = o + 36.\n2. Substitute o = w + 19 to d, which gives d = w + 55.\n3. Substitute w = y + 16 to d, which gives d = y + 71.\n4. Substitute y = u + 1 to d, which gives d = u + 72.\n5. Substitute u = j + 4 to d, which gives d = j + 76.\n6. Substitute j = 3 to d, which gives d = 79.\n\nThus, the final answer is d = \\boxed{79}.",
"index": 19935,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = c + 11; d = z + 20; h = x + 11; o = w + 19; z = o + 16; w = y + 16; y = u + 1; x = j + 9; f = h + 13; m = t + 19; u = j + 4; c = f + 1; j = 3. If j = 3, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"y": "i + 6", "a": "y + 2", "s": "a + 6", "g": "s + 16", "r": "g + 12", "f": "r + 20", "q": "i + 6", "p": "q + 5", "c": "p + 9", "k": "c + 5", "v": "k + 14", "t": "v + 11", "i": 5}, "premises": {"i": 5}, "target": "f"}, "answer": {"steps": [["r", "g + 12", "g + 32"], ["g", "s + 16", "s + 48"], ["s", "a + 6", "a + 54"], ["a", "y + 2", "y + 56"], ["y", "i + 6", "i + 62"], ["i", 5, "67"]], "target_var_name": "f", "target_value": 67, "value_dict": {"i": 5}, "is_reverse": true}} | 19,936 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = a + 6; c = p + 9; a = y + 2; i = 5; y = i + 6; q = i + 6; g = s + 16; t = v + 11; v = k + 14; f = r + 20; k = c + 5; p = q + 5; r = g + 12. If i = 5, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = g + 12 to f, which gives f = g + 32.\n2. Substitute g = s + 16 to f, which gives f = s + 48.\n3. Substitute s = a + 6 to f, which gives f = a + 54.\n4. Substitute a = y + 2 to f, which gives f = y + 56.\n5. Substitute y = i + 6 to f, which gives f = i + 62.\n6. Substitute i = 5 to f, which gives f = 67.\n\nThus, the final answer is f = \\boxed{67}.",
"index": 19936,
"question": "Consider a system of variables where each variable is defined as follows: s = a + 6; c = p + 9; a = y + 2; i = 5; y = i + 6; q = i + 6; g = s + 16; t = v + 11; v = k + 14; f = r + 20; k = c + 5; p = q + 5; r = g + 12. If i = 5, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"h": "o + 20", "v": "h + 8", "z": "v + 17", "w": "z + 20", "s": "w + 2", "m": "s + 14", "r": "o + 10", "n": "r + 12", "q": "n + 5", "a": "q + 9", "l": "a + 5", "f": "l + 3", "o": 5}, "premises": {"o": 5}, "target": "m"}, "answer": {"steps": [["s", "w + 2", "w + 16"], ["w", "z + 20", "z + 36"], ["z", "v + 17", "v + 53"], ["v", "h + 8", "h + 61"], ["h", "o + 20", "o + 81"], ["o", 5, "86"]], "target_var_name": "m", "target_value": 86, "value_dict": {"o": 5}, "is_reverse": true}} | 19,937 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = a + 5; q = n + 5; m = s + 14; h = o + 20; o = 5; w = z + 20; v = h + 8; n = r + 12; r = o + 10; f = l + 3; a = q + 9; z = v + 17; s = w + 2. If o = 5, what is the resulting 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 s = w + 2 to m, which gives m = w + 16.\n2. Substitute w = z + 20 to m, which gives m = z + 36.\n3. Substitute z = v + 17 to m, which gives m = v + 53.\n4. Substitute v = h + 8 to m, which gives m = h + 61.\n5. Substitute h = o + 20 to m, which gives m = o + 81.\n6. Substitute o = 5 to m, which gives m = 86.\n\nThus, the final answer is m = \\boxed{86}.",
"index": 19937,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = a + 5; q = n + 5; m = s + 14; h = o + 20; o = 5; w = z + 20; v = h + 8; n = r + 12; r = o + 10; f = l + 3; a = q + 9; z = v + 17; s = w + 2. If o = 5, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"s": "f + 9", "n": "s + 1", "t": "n + 19", "v": "t + 15", "a": "v + 7", "g": "a + 9", "z": "f + 18", "b": "z + 18", "w": "b + 17", "r": "w + 3", "o": "r + 4", "q": "o + 7", "f": 2}, "premises": {"f": 2}, "target": "g"}, "answer": {"steps": [["a", "v + 7", "v + 16"], ["v", "t + 15", "t + 31"], ["t", "n + 19", "n + 50"], ["n", "s + 1", "s + 51"], ["s", "f + 9", "f + 60"], ["f", 2, "62"]], "target_var_name": "g", "target_value": 62, "value_dict": {"f": 2}, "is_reverse": true}} | 19,938 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = o + 7; s = f + 9; a = v + 7; z = f + 18; n = s + 1; f = 2; b = z + 18; v = t + 15; g = a + 9; w = b + 17; r = w + 3; t = n + 19; o = r + 4. Given that f = 2, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = v + 7 to g, which gives g = v + 16.\n2. Substitute v = t + 15 to g, which gives g = t + 31.\n3. Substitute t = n + 19 to g, which gives g = n + 50.\n4. Substitute n = s + 1 to g, which gives g = s + 51.\n5. Substitute s = f + 9 to g, which gives g = f + 60.\n6. Substitute f = 2 to g, which gives g = 62.\n\nThus, the final answer is g = \\boxed{62}.",
"index": 19938,
"question": "Suppose a collection of variables is related by the following definitions: q = o + 7; s = f + 9; a = v + 7; z = f + 18; n = s + 1; f = 2; b = z + 18; v = t + 15; g = a + 9; w = b + 17; r = w + 3; t = n + 19; o = r + 4. Given that f = 2, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"u": "i + 8", "a": "u + 14", "o": "a + 3", "r": "o + 2", "l": "r + 4", "f": "l + 13", "e": "i + 14", "t": "e + 7", "s": "t + 2", "b": "s + 11", "n": "b + 3", "v": "n + 4", "i": 17}, "premises": {"i": 17}, "target": "f"}, "answer": {"steps": [["l", "r + 4", "r + 17"], ["r", "o + 2", "o + 19"], ["o", "a + 3", "a + 22"], ["a", "u + 14", "u + 36"], ["u", "i + 8", "i + 44"], ["i", 17, "61"]], "target_var_name": "f", "target_value": 61, "value_dict": {"i": 17}, "is_reverse": true}} | 19,939 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = i + 8; i = 17; l = r + 4; e = i + 14; r = o + 2; n = b + 3; o = a + 3; a = u + 14; v = n + 4; t = e + 7; f = l + 13; s = t + 2; b = s + 11. Given that i = 17, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = r + 4 to f, which gives f = r + 17.\n2. Substitute r = o + 2 to f, which gives f = o + 19.\n3. Substitute o = a + 3 to f, which gives f = a + 22.\n4. Substitute a = u + 14 to f, which gives f = u + 36.\n5. Substitute u = i + 8 to f, which gives f = i + 44.\n6. Substitute i = 17 to f, which gives f = 61.\n\nThus, the final answer is f = \\boxed{61}.",
"index": 19939,
"question": "Suppose a collection of variables is related by the following definitions: u = i + 8; i = 17; l = r + 4; e = i + 14; r = o + 2; n = b + 3; o = a + 3; a = u + 14; v = n + 4; t = e + 7; f = l + 13; s = t + 2; b = s + 11. Given that i = 17, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"w": "x + 17", "d": "w + 5", "g": "d + 3", "v": "g + 17", "k": "v + 5", "h": "k + 16", "s": "x + 15", "i": "s + 4", "a": "i + 15", "y": "a + 15", "z": "y + 2", "r": "z + 11", "x": 7}, "premises": {"x": 7}, "target": "h"}, "answer": {"steps": [["k", "v + 5", "v + 21"], ["v", "g + 17", "g + 38"], ["g", "d + 3", "d + 41"], ["d", "w + 5", "w + 46"], ["w", "x + 17", "x + 63"], ["x", 7, "70"]], "target_var_name": "h", "target_value": 70, "value_dict": {"x": 7}, "is_reverse": true}} | 19,940 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = v + 5; y = a + 15; z = y + 2; g = d + 3; w = x + 17; a = i + 15; s = x + 15; r = z + 11; i = s + 4; h = k + 16; x = 7; d = w + 5; v = g + 17. If x = 7, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = v + 5 to h, which gives h = v + 21.\n2. Substitute v = g + 17 to h, which gives h = g + 38.\n3. Substitute g = d + 3 to h, which gives h = d + 41.\n4. Substitute d = w + 5 to h, which gives h = w + 46.\n5. Substitute w = x + 17 to h, which gives h = x + 63.\n6. Substitute x = 7 to h, which gives h = 70.\n\nThus, the final answer is h = \\boxed{70}.",
"index": 19940,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = v + 5; y = a + 15; z = y + 2; g = d + 3; w = x + 17; a = i + 15; s = x + 15; r = z + 11; i = s + 4; h = k + 16; x = 7; d = w + 5; v = g + 17. If x = 7, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"x": "t + 9", "j": "x + 7", "h": "j + 10", "m": "h + 13", "w": "m + 4", "i": "w + 13", "z": "t + 10", "a": "z + 7", "q": "a + 5", "c": "q + 9", "v": "c + 13", "f": "v + 17", "t": 18}, "premises": {"t": 18}, "target": "i"}, "answer": {"steps": [["w", "m + 4", "m + 17"], ["m", "h + 13", "h + 30"], ["h", "j + 10", "j + 40"], ["j", "x + 7", "x + 47"], ["x", "t + 9", "t + 56"], ["t", 18, "74"]], "target_var_name": "i", "target_value": 74, "value_dict": {"t": 18}, "is_reverse": true}} | 19,941 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = z + 7; w = m + 4; h = j + 10; t = 18; j = x + 7; x = t + 9; i = w + 13; m = h + 13; v = c + 13; z = t + 10; f = v + 17; q = a + 5; c = q + 9. If t = 18, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = m + 4 to i, which gives i = m + 17.\n2. Substitute m = h + 13 to i, which gives i = h + 30.\n3. Substitute h = j + 10 to i, which gives i = j + 40.\n4. Substitute j = x + 7 to i, which gives i = x + 47.\n5. Substitute x = t + 9 to i, which gives i = t + 56.\n6. Substitute t = 18 to i, which gives i = 74.\n\nThus, the final answer is i = \\boxed{74}.",
"index": 19941,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = z + 7; w = m + 4; h = j + 10; t = 18; j = x + 7; x = t + 9; i = w + 13; m = h + 13; v = c + 13; z = t + 10; f = v + 17; q = a + 5; c = q + 9. If t = 18, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"j": "v + 2", "u": "j + 20", "e": "u + 3", "h": "e + 19", "y": "h + 14", "n": "y + 16", "l": "v + 7", "f": "l + 9", "w": "f + 12", "b": "w + 12", "k": "b + 8", "s": "k + 16", "v": 9}, "premises": {"v": 9}, "target": "n"}, "answer": {"steps": [["y", "h + 14", "h + 30"], ["h", "e + 19", "e + 49"], ["e", "u + 3", "u + 52"], ["u", "j + 20", "j + 72"], ["j", "v + 2", "v + 74"], ["v", 9, "83"]], "target_var_name": "n", "target_value": 83, "value_dict": {"v": 9}, "is_reverse": true}} | 19,942 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = j + 20; e = u + 3; f = l + 9; n = y + 16; l = v + 7; y = h + 14; j = v + 2; h = e + 19; b = w + 12; w = f + 12; v = 9; k = b + 8; s = k + 16. If v = 9, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = h + 14 to n, which gives n = h + 30.\n2. Substitute h = e + 19 to n, which gives n = e + 49.\n3. Substitute e = u + 3 to n, which gives n = u + 52.\n4. Substitute u = j + 20 to n, which gives n = j + 72.\n5. Substitute j = v + 2 to n, which gives n = v + 74.\n6. Substitute v = 9 to n, which gives n = 83.\n\nThus, the final answer is n = \\boxed{83}.",
"index": 19942,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = j + 20; e = u + 3; f = l + 9; n = y + 16; l = v + 7; y = h + 14; j = v + 2; h = e + 19; b = w + 12; w = f + 12; v = 9; k = b + 8; s = k + 16. If v = 9, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"g": "a + 16", "r": "g + 6", "d": "r + 16", "q": "d + 13", "i": "q + 12", "f": "i + 7", "w": "a + 18", "s": "w + 1", "p": "s + 14", "t": "p + 10", "n": "t + 14", "v": "n + 1", "a": 2}, "premises": {"a": 2}, "target": "f"}, "answer": {"steps": [["i", "q + 12", "q + 19"], ["q", "d + 13", "d + 32"], ["d", "r + 16", "r + 48"], ["r", "g + 6", "g + 54"], ["g", "a + 16", "a + 70"], ["a", 2, "72"]], "target_var_name": "f", "target_value": 72, "value_dict": {"a": 2}, "is_reverse": true}} | 19,943 | 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 = s + 14; a = 2; i = q + 12; n = t + 14; w = a + 18; r = g + 6; v = n + 1; g = a + 16; d = r + 16; f = i + 7; q = d + 13; s = w + 1; t = p + 10. If a = 2, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = q + 12 to f, which gives f = q + 19.\n2. Substitute q = d + 13 to f, which gives f = d + 32.\n3. Substitute d = r + 16 to f, which gives f = r + 48.\n4. Substitute r = g + 6 to f, which gives f = g + 54.\n5. Substitute g = a + 16 to f, which gives f = a + 70.\n6. Substitute a = 2 to f, which gives f = 72.\n\nThus, the final answer is f = \\boxed{72}.",
"index": 19943,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = s + 14; a = 2; i = q + 12; n = t + 14; w = a + 18; r = g + 6; v = n + 1; g = a + 16; d = r + 16; f = i + 7; q = d + 13; s = w + 1; t = p + 10. If a = 2, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"u": "k + 16", "m": "u + 15", "o": "m + 20", "l": "o + 17", "r": "l + 14", "c": "r + 11", "i": "k + 20", "q": "i + 16", "n": "q + 5", "s": "n + 15", "t": "s + 10", "v": "t + 20", "k": 7}, "premises": {"k": 7}, "target": "c"}, "answer": {"steps": [["r", "l + 14", "l + 25"], ["l", "o + 17", "o + 42"], ["o", "m + 20", "m + 62"], ["m", "u + 15", "u + 77"], ["u", "k + 16", "k + 93"], ["k", 7, "100"]], "target_var_name": "c", "target_value": 100, "value_dict": {"k": 7}, "is_reverse": true}} | 19,944 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = q + 5; o = m + 20; l = o + 17; m = u + 15; v = t + 20; r = l + 14; q = i + 16; i = k + 20; t = s + 10; c = r + 11; k = 7; u = k + 16; s = n + 15. If k = 7, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = l + 14 to c, which gives c = l + 25.\n2. Substitute l = o + 17 to c, which gives c = o + 42.\n3. Substitute o = m + 20 to c, which gives c = m + 62.\n4. Substitute m = u + 15 to c, which gives c = u + 77.\n5. Substitute u = k + 16 to c, which gives c = k + 93.\n6. Substitute k = 7 to c, which gives c = 100.\n\nThus, the final answer is c = \\boxed{100}.",
"index": 19944,
"question": "Consider a system of variables where each variable is defined as follows: n = q + 5; o = m + 20; l = o + 17; m = u + 15; v = t + 20; r = l + 14; q = i + 16; i = k + 20; t = s + 10; c = r + 11; k = 7; u = k + 16; s = n + 15. If k = 7, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"t": "y + 14", "i": "t + 19", "z": "i + 5", "h": "z + 9", "u": "h + 18", "e": "u + 12", "k": "y + 3", "a": "k + 4", "j": "a + 15", "n": "j + 8", "g": "n + 16", "f": "g + 10", "y": 19}, "premises": {"y": 19}, "target": "e"}, "answer": {"steps": [["u", "h + 18", "h + 30"], ["h", "z + 9", "z + 39"], ["z", "i + 5", "i + 44"], ["i", "t + 19", "t + 63"], ["t", "y + 14", "y + 77"], ["y", 19, "96"]], "target_var_name": "e", "target_value": 96, "value_dict": {"y": 19}, "is_reverse": true}} | 19,945 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = 19; i = t + 19; t = y + 14; f = g + 10; e = u + 12; z = i + 5; g = n + 16; u = h + 18; j = a + 15; n = j + 8; k = y + 3; a = k + 4; h = z + 9. If y = 19, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = h + 18 to e, which gives e = h + 30.\n2. Substitute h = z + 9 to e, which gives e = z + 39.\n3. Substitute z = i + 5 to e, which gives e = i + 44.\n4. Substitute i = t + 19 to e, which gives e = t + 63.\n5. Substitute t = y + 14 to e, which gives e = y + 77.\n6. Substitute y = 19 to e, which gives e = 96.\n\nThus, the final answer is e = \\boxed{96}.",
"index": 19945,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = 19; i = t + 19; t = y + 14; f = g + 10; e = u + 12; z = i + 5; g = n + 16; u = h + 18; j = a + 15; n = j + 8; k = y + 3; a = k + 4; h = z + 9. If y = 19, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"t": "e + 17", "u": "t + 1", "z": "u + 5", "m": "z + 14", "b": "m + 7", "a": "b + 9", "k": "e + 13", "w": "k + 8", "j": "w + 2", "h": "j + 5", "f": "h + 20", "q": "f + 16", "e": 17}, "premises": {"e": 17}, "target": "a"}, "answer": {"steps": [["b", "m + 7", "m + 16"], ["m", "z + 14", "z + 30"], ["z", "u + 5", "u + 35"], ["u", "t + 1", "t + 36"], ["t", "e + 17", "e + 53"], ["e", 17, "70"]], "target_var_name": "a", "target_value": 70, "value_dict": {"e": 17}, "is_reverse": true}} | 19,946 | 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 = e + 13; z = u + 5; a = b + 9; j = w + 2; e = 17; h = j + 5; q = f + 16; b = m + 7; t = e + 17; u = t + 1; f = h + 20; m = z + 14; w = k + 8. If e = 17, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = m + 7 to a, which gives a = m + 16.\n2. Substitute m = z + 14 to a, which gives a = z + 30.\n3. Substitute z = u + 5 to a, which gives a = u + 35.\n4. Substitute u = t + 1 to a, which gives a = t + 36.\n5. Substitute t = e + 17 to a, which gives a = e + 53.\n6. Substitute e = 17 to a, which gives a = 70.\n\nThus, the final answer is a = \\boxed{70}.",
"index": 19946,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = e + 13; z = u + 5; a = b + 9; j = w + 2; e = 17; h = j + 5; q = f + 16; b = m + 7; t = e + 17; u = t + 1; f = h + 20; m = z + 14; w = k + 8. If e = 17, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"s": "x + 5", "c": "s + 14", "g": "c + 19", "r": "g + 7", "m": "r + 10", "z": "m + 13", "a": "x + 6", "f": "a + 11", "n": "f + 3", "l": "n + 7", "j": "l + 17", "e": "j + 5", "x": 17}, "premises": {"x": 17}, "target": "z"}, "answer": {"steps": [["m", "r + 10", "r + 23"], ["r", "g + 7", "g + 30"], ["g", "c + 19", "c + 49"], ["c", "s + 14", "s + 63"], ["s", "x + 5", "x + 68"], ["x", 17, "85"]], "target_var_name": "z", "target_value": 85, "value_dict": {"x": 17}, "is_reverse": true}} | 19,947 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = a + 11; n = f + 3; m = r + 10; l = n + 7; s = x + 5; a = x + 6; j = l + 17; z = m + 13; x = 17; e = j + 5; g = c + 19; c = s + 14; r = g + 7. If x = 17, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = r + 10 to z, which gives z = r + 23.\n2. Substitute r = g + 7 to z, which gives z = g + 30.\n3. Substitute g = c + 19 to z, which gives z = c + 49.\n4. Substitute c = s + 14 to z, which gives z = s + 63.\n5. Substitute s = x + 5 to z, which gives z = x + 68.\n6. Substitute x = 17 to z, which gives z = 85.\n\nThus, the final answer is z = \\boxed{85}.",
"index": 19947,
"question": "Consider a system of variables where each variable is defined as follows: f = a + 11; n = f + 3; m = r + 10; l = n + 7; s = x + 5; a = x + 6; j = l + 17; z = m + 13; x = 17; e = j + 5; g = c + 19; c = s + 14; r = g + 7. If x = 17, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"c": "u + 12", "k": "c + 6", "x": "k + 15", "b": "x + 1", "p": "b + 17", "g": "p + 3", "y": "u + 1", "v": "y + 8", "t": "v + 18", "f": "t + 16", "j": "f + 4", "n": "j + 15", "u": 3}, "premises": {"u": 3}, "target": "g"}, "answer": {"steps": [["p", "b + 17", "b + 20"], ["b", "x + 1", "x + 21"], ["x", "k + 15", "k + 36"], ["k", "c + 6", "c + 42"], ["c", "u + 12", "u + 54"], ["u", 3, "57"]], "target_var_name": "g", "target_value": 57, "value_dict": {"u": 3}, "is_reverse": true}} | 19,948 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = k + 15; n = j + 15; f = t + 16; g = p + 3; v = y + 8; t = v + 18; c = u + 12; b = x + 1; j = f + 4; p = b + 17; y = u + 1; k = c + 6; u = 3. If u = 3, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = b + 17 to g, which gives g = b + 20.\n2. Substitute b = x + 1 to g, which gives g = x + 21.\n3. Substitute x = k + 15 to g, which gives g = k + 36.\n4. Substitute k = c + 6 to g, which gives g = c + 42.\n5. Substitute c = u + 12 to g, which gives g = u + 54.\n6. Substitute u = 3 to g, which gives g = 57.\n\nThus, the final answer is g = \\boxed{57}.",
"index": 19948,
"question": "Consider a system of variables where each variable is defined as follows: x = k + 15; n = j + 15; f = t + 16; g = p + 3; v = y + 8; t = v + 18; c = u + 12; b = x + 1; j = f + 4; p = b + 17; y = u + 1; k = c + 6; u = 3. If u = 3, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"n": "b + 17", "l": "n + 13", "h": "l + 5", "q": "h + 8", "p": "q + 6", "m": "p + 10", "v": "b + 12", "s": "v + 9", "d": "s + 11", "k": "d + 9", "e": "k + 9", "j": "e + 6", "b": 4}, "premises": {"b": 4}, "target": "m"}, "answer": {"steps": [["p", "q + 6", "q + 16"], ["q", "h + 8", "h + 24"], ["h", "l + 5", "l + 29"], ["l", "n + 13", "n + 42"], ["n", "b + 17", "b + 59"], ["b", 4, "63"]], "target_var_name": "m", "target_value": 63, "value_dict": {"b": 4}, "is_reverse": true}} | 19,949 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = l + 5; j = e + 6; n = b + 17; l = n + 13; e = k + 9; k = d + 9; v = b + 12; s = v + 9; b = 4; q = h + 8; m = p + 10; d = s + 11; p = q + 6. If b = 4, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = q + 6 to m, which gives m = q + 16.\n2. Substitute q = h + 8 to m, which gives m = h + 24.\n3. Substitute h = l + 5 to m, which gives m = l + 29.\n4. Substitute l = n + 13 to m, which gives m = n + 42.\n5. Substitute n = b + 17 to m, which gives m = b + 59.\n6. Substitute b = 4 to m, which gives m = 63.\n\nThus, the final answer is m = \\boxed{63}.",
"index": 19949,
"question": "Consider a system of variables where each variable is defined as follows: h = l + 5; j = e + 6; n = b + 17; l = n + 13; e = k + 9; k = d + 9; v = b + 12; s = v + 9; b = 4; q = h + 8; m = p + 10; d = s + 11; p = q + 6. If b = 4, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"e": "a + 20", "h": "e + 19", "w": "h + 7", "y": "w + 13", "b": "y + 20", "j": "b + 13", "d": "a + 18", "s": "d + 6", "m": "s + 2", "o": "m + 12", "u": "o + 16", "l": "u + 10", "a": 17}, "premises": {"a": 17}, "target": "j"}, "answer": {"steps": [["b", "y + 20", "y + 33"], ["y", "w + 13", "w + 46"], ["w", "h + 7", "h + 53"], ["h", "e + 19", "e + 72"], ["e", "a + 20", "a + 92"], ["a", 17, "109"]], "target_var_name": "j", "target_value": 109, "value_dict": {"a": 17}, "is_reverse": true}} | 19,950 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = e + 19; w = h + 7; l = u + 10; j = b + 13; e = a + 20; u = o + 16; y = w + 13; s = d + 6; b = y + 20; m = s + 2; d = a + 18; o = m + 12; a = 17. Given that a = 17, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 109,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = y + 20 to j, which gives j = y + 33.\n2. Substitute y = w + 13 to j, which gives j = w + 46.\n3. Substitute w = h + 7 to j, which gives j = h + 53.\n4. Substitute h = e + 19 to j, which gives j = e + 72.\n5. Substitute e = a + 20 to j, which gives j = a + 92.\n6. Substitute a = 17 to j, which gives j = 109.\n\nThus, the final answer is j = \\boxed{109}.",
"index": 19950,
"question": "Suppose a collection of variables is related by the following definitions: h = e + 19; w = h + 7; l = u + 10; j = b + 13; e = a + 20; u = o + 16; y = w + 13; s = d + 6; b = y + 20; m = s + 2; d = a + 18; o = m + 12; a = 17. Given that a = 17, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"i": "l + 15", "x": "i + 3", "o": "x + 8", "m": "o + 1", "t": "m + 18", "c": "t + 20", "u": "l + 14", "n": "u + 9", "w": "n + 16", "d": "w + 11", "b": "d + 4", "h": "b + 8", "l": 9}, "premises": {"l": 9}, "target": "c"}, "answer": {"steps": [["t", "m + 18", "m + 38"], ["m", "o + 1", "o + 39"], ["o", "x + 8", "x + 47"], ["x", "i + 3", "i + 50"], ["i", "l + 15", "l + 65"], ["l", 9, "74"]], "target_var_name": "c", "target_value": 74, "value_dict": {"l": 9}, "is_reverse": true}} | 19,951 | 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 = u + 9; t = m + 18; u = l + 14; x = i + 3; m = o + 1; l = 9; h = b + 8; w = n + 16; d = w + 11; i = l + 15; c = t + 20; o = x + 8; b = d + 4. If l = 9, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = m + 18 to c, which gives c = m + 38.\n2. Substitute m = o + 1 to c, which gives c = o + 39.\n3. Substitute o = x + 8 to c, which gives c = x + 47.\n4. Substitute x = i + 3 to c, which gives c = i + 50.\n5. Substitute i = l + 15 to c, which gives c = l + 65.\n6. Substitute l = 9 to c, which gives c = 74.\n\nThus, the final answer is c = \\boxed{74}.",
"index": 19951,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = u + 9; t = m + 18; u = l + 14; x = i + 3; m = o + 1; l = 9; h = b + 8; w = n + 16; d = w + 11; i = l + 15; c = t + 20; o = x + 8; b = d + 4. If l = 9, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"q": "u + 6", "b": "q + 2", "l": "b + 4", "s": "l + 1", "n": "s + 4", "o": "n + 15", "k": "u + 8", "t": "k + 10", "p": "t + 16", "r": "p + 14", "e": "r + 19", "m": "e + 15", "u": 2}, "premises": {"u": 2}, "target": "o"}, "answer": {"steps": [["n", "s + 4", "s + 19"], ["s", "l + 1", "l + 20"], ["l", "b + 4", "b + 24"], ["b", "q + 2", "q + 26"], ["q", "u + 6", "u + 32"], ["u", 2, "34"]], "target_var_name": "o", "target_value": 34, "value_dict": {"u": 2}, "is_reverse": true}} | 19,952 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = k + 10; r = p + 14; m = e + 15; k = u + 8; u = 2; b = q + 2; q = u + 6; e = r + 19; l = b + 4; o = n + 15; p = t + 16; n = s + 4; s = l + 1. If u = 2, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 34,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = s + 4 to o, which gives o = s + 19.\n2. Substitute s = l + 1 to o, which gives o = l + 20.\n3. Substitute l = b + 4 to o, which gives o = b + 24.\n4. Substitute b = q + 2 to o, which gives o = q + 26.\n5. Substitute q = u + 6 to o, which gives o = u + 32.\n6. Substitute u = 2 to o, which gives o = 34.\n\nThus, the final answer is o = \\boxed{34}.",
"index": 19952,
"question": "Consider a system of variables where each variable is defined as follows: t = k + 10; r = p + 14; m = e + 15; k = u + 8; u = 2; b = q + 2; q = u + 6; e = r + 19; l = b + 4; o = n + 15; p = t + 16; n = s + 4; s = l + 1. If u = 2, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"u": "x + 7", "n": "u + 6", "j": "n + 1", "a": "j + 6", "m": "a + 16", "s": "m + 5", "r": "x + 3", "e": "r + 7", "o": "e + 12", "l": "o + 15", "d": "l + 20", "w": "d + 9", "x": 9}, "premises": {"x": 9}, "target": "s"}, "answer": {"steps": [["m", "a + 16", "a + 21"], ["a", "j + 6", "j + 27"], ["j", "n + 1", "n + 28"], ["n", "u + 6", "u + 34"], ["u", "x + 7", "x + 41"], ["x", 9, "50"]], "target_var_name": "s", "target_value": 50, "value_dict": {"x": 9}, "is_reverse": true}} | 19,953 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = j + 6; w = d + 9; x = 9; m = a + 16; o = e + 12; s = m + 5; l = o + 15; j = n + 1; e = r + 7; r = x + 3; d = l + 20; u = x + 7; n = u + 6. If x = 9, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = a + 16 to s, which gives s = a + 21.\n2. Substitute a = j + 6 to s, which gives s = j + 27.\n3. Substitute j = n + 1 to s, which gives s = n + 28.\n4. Substitute n = u + 6 to s, which gives s = u + 34.\n5. Substitute u = x + 7 to s, which gives s = x + 41.\n6. Substitute x = 9 to s, which gives s = 50.\n\nThus, the final answer is s = \\boxed{50}.",
"index": 19953,
"question": "Consider a system of variables where each variable is defined as follows: a = j + 6; w = d + 9; x = 9; m = a + 16; o = e + 12; s = m + 5; l = o + 15; j = n + 1; e = r + 7; r = x + 3; d = l + 20; u = x + 7; n = u + 6. If x = 9, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"x": "d + 3", "c": "x + 6", "h": "c + 12", "f": "h + 4", "e": "f + 10", "i": "e + 11", "v": "d + 10", "z": "v + 2", "p": "z + 8", "m": "p + 2", "a": "m + 8", "u": "a + 11", "d": 17}, "premises": {"d": 17}, "target": "i"}, "answer": {"steps": [["e", "f + 10", "f + 21"], ["f", "h + 4", "h + 25"], ["h", "c + 12", "c + 37"], ["c", "x + 6", "x + 43"], ["x", "d + 3", "d + 46"], ["d", 17, "63"]], "target_var_name": "i", "target_value": 63, "value_dict": {"d": 17}, "is_reverse": true}} | 19,954 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = v + 2; i = e + 11; h = c + 12; d = 17; p = z + 8; m = p + 2; a = m + 8; x = d + 3; v = d + 10; e = f + 10; f = h + 4; u = a + 11; c = x + 6. Given that d = 17, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = f + 10 to i, which gives i = f + 21.\n2. Substitute f = h + 4 to i, which gives i = h + 25.\n3. Substitute h = c + 12 to i, which gives i = c + 37.\n4. Substitute c = x + 6 to i, which gives i = x + 43.\n5. Substitute x = d + 3 to i, which gives i = d + 46.\n6. Substitute d = 17 to i, which gives i = 63.\n\nThus, the final answer is i = \\boxed{63}.",
"index": 19954,
"question": "Suppose a collection of variables is related by the following definitions: z = v + 2; i = e + 11; h = c + 12; d = 17; p = z + 8; m = p + 2; a = m + 8; x = d + 3; v = d + 10; e = f + 10; f = h + 4; u = a + 11; c = x + 6. Given that d = 17, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"h": "z + 9", "t": "h + 19", "f": "t + 1", "l": "f + 3", "k": "l + 3", "g": "k + 10", "i": "z + 5", "b": "i + 18", "j": "b + 1", "y": "j + 16", "c": "y + 2", "e": "c + 18", "z": 17}, "premises": {"z": 17}, "target": "g"}, "answer": {"steps": [["k", "l + 3", "l + 13"], ["l", "f + 3", "f + 16"], ["f", "t + 1", "t + 17"], ["t", "h + 19", "h + 36"], ["h", "z + 9", "z + 45"], ["z", 17, "62"]], "target_var_name": "g", "target_value": 62, "value_dict": {"z": 17}, "is_reverse": true}} | 19,955 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = h + 19; y = j + 16; j = b + 1; z = 17; g = k + 10; i = z + 5; k = l + 3; f = t + 1; e = c + 18; c = y + 2; l = f + 3; b = i + 18; h = z + 9. If z = 17, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = l + 3 to g, which gives g = l + 13.\n2. Substitute l = f + 3 to g, which gives g = f + 16.\n3. Substitute f = t + 1 to g, which gives g = t + 17.\n4. Substitute t = h + 19 to g, which gives g = h + 36.\n5. Substitute h = z + 9 to g, which gives g = z + 45.\n6. Substitute z = 17 to g, which gives g = 62.\n\nThus, the final answer is g = \\boxed{62}.",
"index": 19955,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = h + 19; y = j + 16; j = b + 1; z = 17; g = k + 10; i = z + 5; k = l + 3; f = t + 1; e = c + 18; c = y + 2; l = f + 3; b = i + 18; h = z + 9. If z = 17, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"f": "w + 8", "m": "f + 1", "q": "m + 5", "p": "q + 13", "n": "p + 17", "o": "n + 19", "a": "w + 9", "x": "a + 6", "s": "x + 6", "e": "s + 15", "b": "e + 5", "v": "b + 7", "w": 13}, "premises": {"w": 13}, "target": "o"}, "answer": {"steps": [["n", "p + 17", "p + 36"], ["p", "q + 13", "q + 49"], ["q", "m + 5", "m + 54"], ["m", "f + 1", "f + 55"], ["f", "w + 8", "w + 63"], ["w", 13, "76"]], "target_var_name": "o", "target_value": 76, "value_dict": {"w": 13}, "is_reverse": true}} | 19,956 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = m + 5; e = s + 15; x = a + 6; m = f + 1; a = w + 9; p = q + 13; b = e + 5; w = 13; o = n + 19; v = b + 7; f = w + 8; s = x + 6; n = p + 17. If w = 13, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = p + 17 to o, which gives o = p + 36.\n2. Substitute p = q + 13 to o, which gives o = q + 49.\n3. Substitute q = m + 5 to o, which gives o = m + 54.\n4. Substitute m = f + 1 to o, which gives o = f + 55.\n5. Substitute f = w + 8 to o, which gives o = w + 63.\n6. Substitute w = 13 to o, which gives o = 76.\n\nThus, the final answer is o = \\boxed{76}.",
"index": 19956,
"question": "Consider a system of variables where each variable is defined as follows: q = m + 5; e = s + 15; x = a + 6; m = f + 1; a = w + 9; p = q + 13; b = e + 5; w = 13; o = n + 19; v = b + 7; f = w + 8; s = x + 6; n = p + 17. If w = 13, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"h": "c + 9", "f": "h + 2", "y": "f + 6", "k": "y + 14", "w": "k + 3", "a": "w + 2", "s": "c + 5", "p": "s + 12", "i": "p + 14", "l": "i + 17", "r": "l + 9", "m": "r + 14", "c": 12}, "premises": {"c": 12}, "target": "a"}, "answer": {"steps": [["w", "k + 3", "k + 5"], ["k", "y + 14", "y + 19"], ["y", "f + 6", "f + 25"], ["f", "h + 2", "h + 27"], ["h", "c + 9", "c + 36"], ["c", 12, "48"]], "target_var_name": "a", "target_value": 48, "value_dict": {"c": 12}, "is_reverse": true}} | 19,957 | 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 = p + 14; a = w + 2; y = f + 6; p = s + 12; k = y + 14; m = r + 14; r = l + 9; w = k + 3; l = i + 17; h = c + 9; c = 12; s = c + 5; f = h + 2. If c = 12, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = k + 3 to a, which gives a = k + 5.\n2. Substitute k = y + 14 to a, which gives a = y + 19.\n3. Substitute y = f + 6 to a, which gives a = f + 25.\n4. Substitute f = h + 2 to a, which gives a = h + 27.\n5. Substitute h = c + 9 to a, which gives a = c + 36.\n6. Substitute c = 12 to a, which gives a = 48.\n\nThus, the final answer is a = \\boxed{48}.",
"index": 19957,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = p + 14; a = w + 2; y = f + 6; p = s + 12; k = y + 14; m = r + 14; r = l + 9; w = k + 3; l = i + 17; h = c + 9; c = 12; s = c + 5; f = h + 2. If c = 12, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"c": "g + 3", "n": "c + 6", "o": "n + 3", "t": "o + 2", "z": "t + 14", "y": "z + 17", "d": "g + 16", "v": "d + 6", "l": "v + 9", "a": "l + 4", "i": "a + 18", "f": "i + 13", "g": 19}, "premises": {"g": 19}, "target": "y"}, "answer": {"steps": [["z", "t + 14", "t + 31"], ["t", "o + 2", "o + 33"], ["o", "n + 3", "n + 36"], ["n", "c + 6", "c + 42"], ["c", "g + 3", "g + 45"], ["g", 19, "64"]], "target_var_name": "y", "target_value": 64, "value_dict": {"g": 19}, "is_reverse": true}} | 19,958 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = o + 2; o = n + 3; l = v + 9; c = g + 3; y = z + 17; i = a + 18; z = t + 14; n = c + 6; d = g + 16; g = 19; v = d + 6; a = l + 4; f = i + 13. If g = 19, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = t + 14 to y, which gives y = t + 31.\n2. Substitute t = o + 2 to y, which gives y = o + 33.\n3. Substitute o = n + 3 to y, which gives y = n + 36.\n4. Substitute n = c + 6 to y, which gives y = c + 42.\n5. Substitute c = g + 3 to y, which gives y = g + 45.\n6. Substitute g = 19 to y, which gives y = 64.\n\nThus, the final answer is y = \\boxed{64}.",
"index": 19958,
"question": "Consider a system of variables where each variable is defined as follows: t = o + 2; o = n + 3; l = v + 9; c = g + 3; y = z + 17; i = a + 18; z = t + 14; n = c + 6; d = g + 16; g = 19; v = d + 6; a = l + 4; f = i + 13. If g = 19, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"d": "g + 9", "j": "d + 20", "a": "j + 7", "c": "a + 8", "k": "c + 12", "m": "k + 5", "f": "g + 4", "x": "f + 4", "s": "x + 20", "p": "s + 14", "l": "p + 16", "t": "l + 3", "g": 8}, "premises": {"g": 8}, "target": "m"}, "answer": {"steps": [["k", "c + 12", "c + 17"], ["c", "a + 8", "a + 25"], ["a", "j + 7", "j + 32"], ["j", "d + 20", "d + 52"], ["d", "g + 9", "g + 61"], ["g", 8, "69"]], "target_var_name": "m", "target_value": 69, "value_dict": {"g": 8}, "is_reverse": true}} | 19,959 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = a + 8; s = x + 20; l = p + 16; k = c + 12; d = g + 9; g = 8; m = k + 5; a = j + 7; x = f + 4; f = g + 4; t = l + 3; p = s + 14; j = d + 20. Given that g = 8, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = c + 12 to m, which gives m = c + 17.\n2. Substitute c = a + 8 to m, which gives m = a + 25.\n3. Substitute a = j + 7 to m, which gives m = j + 32.\n4. Substitute j = d + 20 to m, which gives m = d + 52.\n5. Substitute d = g + 9 to m, which gives m = g + 61.\n6. Substitute g = 8 to m, which gives m = 69.\n\nThus, the final answer is m = \\boxed{69}.",
"index": 19959,
"question": "Suppose a collection of variables is related by the following definitions: c = a + 8; s = x + 20; l = p + 16; k = c + 12; d = g + 9; g = 8; m = k + 5; a = j + 7; x = f + 4; f = g + 4; t = l + 3; p = s + 14; j = d + 20. Given that g = 8, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"j": "o + 10", "y": "j + 18", "s": "y + 5", "h": "s + 17", "c": "h + 12", "x": "c + 17", "v": "o + 13", "r": "v + 7", "z": "r + 18", "l": "z + 16", "n": "l + 7", "u": "n + 17", "o": 10}, "premises": {"o": 10}, "target": "x"}, "answer": {"steps": [["c", "h + 12", "h + 29"], ["h", "s + 17", "s + 46"], ["s", "y + 5", "y + 51"], ["y", "j + 18", "j + 69"], ["j", "o + 10", "o + 79"], ["o", 10, "89"]], "target_var_name": "x", "target_value": 89, "value_dict": {"o": 10}, "is_reverse": true}} | 19,960 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = y + 5; o = 10; x = c + 17; l = z + 16; y = j + 18; r = v + 7; c = h + 12; z = r + 18; h = s + 17; j = o + 10; v = o + 13; n = l + 7; u = n + 17. Given that o = 10, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = h + 12 to x, which gives x = h + 29.\n2. Substitute h = s + 17 to x, which gives x = s + 46.\n3. Substitute s = y + 5 to x, which gives x = y + 51.\n4. Substitute y = j + 18 to x, which gives x = j + 69.\n5. Substitute j = o + 10 to x, which gives x = o + 79.\n6. Substitute o = 10 to x, which gives x = 89.\n\nThus, the final answer is x = \\boxed{89}.",
"index": 19960,
"question": "Suppose a collection of variables is related by the following definitions: s = y + 5; o = 10; x = c + 17; l = z + 16; y = j + 18; r = v + 7; c = h + 12; z = r + 18; h = s + 17; j = o + 10; v = o + 13; n = l + 7; u = n + 17. Given that o = 10, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"l": "t + 6", "w": "l + 12", "x": "w + 6", "u": "x + 9", "s": "u + 15", "p": "s + 18", "h": "t + 10", "c": "h + 17", "r": "c + 6", "j": "r + 7", "b": "j + 11", "y": "b + 10", "t": 13}, "premises": {"t": 13}, "target": "p"}, "answer": {"steps": [["s", "u + 15", "u + 33"], ["u", "x + 9", "x + 42"], ["x", "w + 6", "w + 48"], ["w", "l + 12", "l + 60"], ["l", "t + 6", "t + 66"], ["t", 13, "79"]], "target_var_name": "p", "target_value": 79, "value_dict": {"t": 13}, "is_reverse": true}} | 19,961 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = w + 6; l = t + 6; b = j + 11; r = c + 6; s = u + 15; w = l + 12; j = r + 7; p = s + 18; c = h + 17; t = 13; u = x + 9; h = t + 10; y = b + 10. If t = 13, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = u + 15 to p, which gives p = u + 33.\n2. Substitute u = x + 9 to p, which gives p = x + 42.\n3. Substitute x = w + 6 to p, which gives p = w + 48.\n4. Substitute w = l + 12 to p, which gives p = l + 60.\n5. Substitute l = t + 6 to p, which gives p = t + 66.\n6. Substitute t = 13 to p, which gives p = 79.\n\nThus, the final answer is p = \\boxed{79}.",
"index": 19961,
"question": "Consider a system of variables where each variable is defined as follows: x = w + 6; l = t + 6; b = j + 11; r = c + 6; s = u + 15; w = l + 12; j = r + 7; p = s + 18; c = h + 17; t = 13; u = x + 9; h = t + 10; y = b + 10. If t = 13, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"w": "u + 12", "d": "w + 3", "v": "d + 8", "l": "v + 6", "i": "l + 11", "a": "i + 4", "y": "u + 5", "k": "y + 14", "j": "k + 11", "b": "j + 15", "t": "b + 3", "o": "t + 18", "u": 11}, "premises": {"u": 11}, "target": "a"}, "answer": {"steps": [["i", "l + 11", "l + 15"], ["l", "v + 6", "v + 21"], ["v", "d + 8", "d + 29"], ["d", "w + 3", "w + 32"], ["w", "u + 12", "u + 44"], ["u", 11, "55"]], "target_var_name": "a", "target_value": 55, "value_dict": {"u": 11}, "is_reverse": true}} | 19,962 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = b + 3; w = u + 12; k = y + 14; o = t + 18; j = k + 11; i = l + 11; a = i + 4; y = u + 5; u = 11; b = j + 15; l = v + 6; v = d + 8; d = w + 3. If u = 11, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = l + 11 to a, which gives a = l + 15.\n2. Substitute l = v + 6 to a, which gives a = v + 21.\n3. Substitute v = d + 8 to a, which gives a = d + 29.\n4. Substitute d = w + 3 to a, which gives a = w + 32.\n5. Substitute w = u + 12 to a, which gives a = u + 44.\n6. Substitute u = 11 to a, which gives a = 55.\n\nThus, the final answer is a = \\boxed{55}.",
"index": 19962,
"question": "Consider a system of variables where each variable is defined as follows: t = b + 3; w = u + 12; k = y + 14; o = t + 18; j = k + 11; i = l + 11; a = i + 4; y = u + 5; u = 11; b = j + 15; l = v + 6; v = d + 8; d = w + 3. If u = 11, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"b": "t + 3", "m": "b + 8", "i": "m + 12", "w": "i + 8", "d": "w + 8", "p": "d + 2", "f": "t + 15", "s": "f + 14", "z": "s + 4", "q": "z + 9", "g": "q + 10", "o": "g + 18", "t": 5}, "premises": {"t": 5}, "target": "p"}, "answer": {"steps": [["d", "w + 8", "w + 10"], ["w", "i + 8", "i + 18"], ["i", "m + 12", "m + 30"], ["m", "b + 8", "b + 38"], ["b", "t + 3", "t + 41"], ["t", 5, "46"]], "target_var_name": "p", "target_value": 46, "value_dict": {"t": 5}, "is_reverse": true}} | 19,963 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = t + 15; d = w + 8; q = z + 9; s = f + 14; o = g + 18; b = t + 3; i = m + 12; w = i + 8; z = s + 4; g = q + 10; m = b + 8; p = d + 2; t = 5. Given that t = 5, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = w + 8 to p, which gives p = w + 10.\n2. Substitute w = i + 8 to p, which gives p = i + 18.\n3. Substitute i = m + 12 to p, which gives p = m + 30.\n4. Substitute m = b + 8 to p, which gives p = b + 38.\n5. Substitute b = t + 3 to p, which gives p = t + 41.\n6. Substitute t = 5 to p, which gives p = 46.\n\nThus, the final answer is p = \\boxed{46}.",
"index": 19963,
"question": "Suppose a collection of variables is related by the following definitions: f = t + 15; d = w + 8; q = z + 9; s = f + 14; o = g + 18; b = t + 3; i = m + 12; w = i + 8; z = s + 4; g = q + 10; m = b + 8; p = d + 2; t = 5. Given that t = 5, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"u": "s + 14", "i": "u + 19", "d": "i + 13", "l": "d + 6", "p": "l + 15", "q": "p + 1", "k": "s + 12", "t": "k + 11", "o": "t + 17", "e": "o + 17", "m": "e + 4", "c": "m + 8", "s": 8}, "premises": {"s": 8}, "target": "q"}, "answer": {"steps": [["p", "l + 15", "l + 16"], ["l", "d + 6", "d + 22"], ["d", "i + 13", "i + 35"], ["i", "u + 19", "u + 54"], ["u", "s + 14", "s + 68"], ["s", 8, "76"]], "target_var_name": "q", "target_value": 76, "value_dict": {"s": 8}, "is_reverse": true}} | 19,964 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = d + 6; m = e + 4; k = s + 12; s = 8; i = u + 19; q = p + 1; o = t + 17; c = m + 8; u = s + 14; d = i + 13; e = o + 17; p = l + 15; t = k + 11. If s = 8, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = l + 15 to q, which gives q = l + 16.\n2. Substitute l = d + 6 to q, which gives q = d + 22.\n3. Substitute d = i + 13 to q, which gives q = i + 35.\n4. Substitute i = u + 19 to q, which gives q = u + 54.\n5. Substitute u = s + 14 to q, which gives q = s + 68.\n6. Substitute s = 8 to q, which gives q = 76.\n\nThus, the final answer is q = \\boxed{76}.",
"index": 19964,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = d + 6; m = e + 4; k = s + 12; s = 8; i = u + 19; q = p + 1; o = t + 17; c = m + 8; u = s + 14; d = i + 13; e = o + 17; p = l + 15; t = k + 11. If s = 8, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"w": "t + 17", "g": "w + 4", "d": "g + 10", "z": "d + 15", "p": "z + 19", "h": "p + 16", "r": "t + 3", "b": "r + 13", "k": "b + 9", "c": "k + 2", "j": "c + 15", "u": "j + 18", "t": 5}, "premises": {"t": 5}, "target": "h"}, "answer": {"steps": [["p", "z + 19", "z + 35"], ["z", "d + 15", "d + 50"], ["d", "g + 10", "g + 60"], ["g", "w + 4", "w + 64"], ["w", "t + 17", "t + 81"], ["t", 5, "86"]], "target_var_name": "h", "target_value": 86, "value_dict": {"t": 5}, "is_reverse": true}} | 19,965 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = p + 16; r = t + 3; b = r + 13; p = z + 19; d = g + 10; g = w + 4; j = c + 15; k = b + 9; t = 5; z = d + 15; w = t + 17; u = j + 18; c = k + 2. Given that t = 5, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = z + 19 to h, which gives h = z + 35.\n2. Substitute z = d + 15 to h, which gives h = d + 50.\n3. Substitute d = g + 10 to h, which gives h = g + 60.\n4. Substitute g = w + 4 to h, which gives h = w + 64.\n5. Substitute w = t + 17 to h, which gives h = t + 81.\n6. Substitute t = 5 to h, which gives h = 86.\n\nThus, the final answer is h = \\boxed{86}.",
"index": 19965,
"question": "Suppose a collection of variables is related by the following definitions: h = p + 16; r = t + 3; b = r + 13; p = z + 19; d = g + 10; g = w + 4; j = c + 15; k = b + 9; t = 5; z = d + 15; w = t + 17; u = j + 18; c = k + 2. Given that t = 5, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"j": "t + 3", "l": "j + 9", "g": "l + 7", "d": "g + 14", "z": "d + 3", "m": "z + 5", "y": "t + 11", "v": "y + 1", "r": "v + 19", "b": "r + 11", "a": "b + 11", "s": "a + 9", "t": 9}, "premises": {"t": 9}, "target": "m"}, "answer": {"steps": [["z", "d + 3", "d + 8"], ["d", "g + 14", "g + 22"], ["g", "l + 7", "l + 29"], ["l", "j + 9", "j + 38"], ["j", "t + 3", "t + 41"], ["t", 9, "50"]], "target_var_name": "m", "target_value": 50, "value_dict": {"t": 9}, "is_reverse": true}} | 19,966 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = l + 7; j = t + 3; s = a + 9; l = j + 9; y = t + 11; b = r + 11; t = 9; z = d + 3; m = z + 5; v = y + 1; r = v + 19; a = b + 11; d = g + 14. If t = 9, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = d + 3 to m, which gives m = d + 8.\n2. Substitute d = g + 14 to m, which gives m = g + 22.\n3. Substitute g = l + 7 to m, which gives m = l + 29.\n4. Substitute l = j + 9 to m, which gives m = j + 38.\n5. Substitute j = t + 3 to m, which gives m = t + 41.\n6. Substitute t = 9 to m, which gives m = 50.\n\nThus, the final answer is m = \\boxed{50}.",
"index": 19966,
"question": "Consider a system of variables where each variable is defined as follows: g = l + 7; j = t + 3; s = a + 9; l = j + 9; y = t + 11; b = r + 11; t = 9; z = d + 3; m = z + 5; v = y + 1; r = v + 19; a = b + 11; d = g + 14. If t = 9, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"w": "p + 13", "v": "w + 11", "e": "v + 10", "r": "e + 12", "h": "r + 16", "t": "h + 20", "g": "p + 11", "l": "g + 4", "i": "l + 14", "z": "i + 1", "u": "z + 4", "s": "u + 6", "p": 5}, "premises": {"p": 5}, "target": "t"}, "answer": {"steps": [["h", "r + 16", "r + 36"], ["r", "e + 12", "e + 48"], ["e", "v + 10", "v + 58"], ["v", "w + 11", "w + 69"], ["w", "p + 13", "p + 82"], ["p", 5, "87"]], "target_var_name": "t", "target_value": 87, "value_dict": {"p": 5}, "is_reverse": true}} | 19,967 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = h + 20; i = l + 14; r = e + 12; l = g + 4; e = v + 10; w = p + 13; u = z + 4; h = r + 16; v = w + 11; s = u + 6; z = i + 1; g = p + 11; p = 5. If p = 5, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = r + 16 to t, which gives t = r + 36.\n2. Substitute r = e + 12 to t, which gives t = e + 48.\n3. Substitute e = v + 10 to t, which gives t = v + 58.\n4. Substitute v = w + 11 to t, which gives t = w + 69.\n5. Substitute w = p + 13 to t, which gives t = p + 82.\n6. Substitute p = 5 to t, which gives t = 87.\n\nThus, the final answer is t = \\boxed{87}.",
"index": 19967,
"question": "Consider a system of variables where each variable is defined as follows: t = h + 20; i = l + 14; r = e + 12; l = g + 4; e = v + 10; w = p + 13; u = z + 4; h = r + 16; v = w + 11; s = u + 6; z = i + 1; g = p + 11; p = 5. If p = 5, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"h": "y + 3", "l": "h + 15", "n": "l + 10", "d": "n + 17", "m": "d + 11", "w": "m + 4", "o": "y + 8", "g": "o + 18", "z": "g + 20", "q": "z + 9", "r": "q + 15", "k": "r + 11", "y": 5}, "premises": {"y": 5}, "target": "w"}, "answer": {"steps": [["m", "d + 11", "d + 15"], ["d", "n + 17", "n + 32"], ["n", "l + 10", "l + 42"], ["l", "h + 15", "h + 57"], ["h", "y + 3", "y + 60"], ["y", 5, "65"]], "target_var_name": "w", "target_value": 65, "value_dict": {"y": 5}, "is_reverse": true}} | 19,968 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = 5; n = l + 10; l = h + 15; g = o + 18; w = m + 4; h = y + 3; d = n + 17; r = q + 15; k = r + 11; m = d + 11; z = g + 20; o = y + 8; q = z + 9. If y = 5, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = d + 11 to w, which gives w = d + 15.\n2. Substitute d = n + 17 to w, which gives w = n + 32.\n3. Substitute n = l + 10 to w, which gives w = l + 42.\n4. Substitute l = h + 15 to w, which gives w = h + 57.\n5. Substitute h = y + 3 to w, which gives w = y + 60.\n6. Substitute y = 5 to w, which gives w = 65.\n\nThus, the final answer is w = \\boxed{65}.",
"index": 19968,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = 5; n = l + 10; l = h + 15; g = o + 18; w = m + 4; h = y + 3; d = n + 17; r = q + 15; k = r + 11; m = d + 11; z = g + 20; o = y + 8; q = z + 9. If y = 5, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"y": "g + 10", "i": "y + 17", "z": "i + 3", "j": "z + 10", "c": "j + 12", "u": "c + 2", "m": "g + 19", "f": "m + 6", "t": "f + 7", "r": "t + 2", "h": "r + 17", "a": "h + 2", "g": 4}, "premises": {"g": 4}, "target": "u"}, "answer": {"steps": [["c", "j + 12", "j + 14"], ["j", "z + 10", "z + 24"], ["z", "i + 3", "i + 27"], ["i", "y + 17", "y + 44"], ["y", "g + 10", "g + 54"], ["g", 4, "58"]], "target_var_name": "u", "target_value": 58, "value_dict": {"g": 4}, "is_reverse": true}} | 19,969 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = i + 3; f = m + 6; m = g + 19; y = g + 10; t = f + 7; g = 4; i = y + 17; u = c + 2; h = r + 17; j = z + 10; c = j + 12; r = t + 2; a = h + 2. If g = 4, what is the resulting 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 c = j + 12 to u, which gives u = j + 14.\n2. Substitute j = z + 10 to u, which gives u = z + 24.\n3. Substitute z = i + 3 to u, which gives u = i + 27.\n4. Substitute i = y + 17 to u, which gives u = y + 44.\n5. Substitute y = g + 10 to u, which gives u = g + 54.\n6. Substitute g = 4 to u, which gives u = 58.\n\nThus, the final answer is u = \\boxed{58}.",
"index": 19969,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = i + 3; f = m + 6; m = g + 19; y = g + 10; t = f + 7; g = 4; i = y + 17; u = c + 2; h = r + 17; j = z + 10; c = j + 12; r = t + 2; a = h + 2. If g = 4, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"p": "d + 3", "w": "p + 15", "n": "w + 2", "s": "n + 19", "i": "s + 9", "j": "i + 16", "z": "d + 6", "g": "z + 6", "e": "g + 14", "t": "e + 11", "x": "t + 1", "b": "x + 14", "d": 9}, "premises": {"d": 9}, "target": "j"}, "answer": {"steps": [["i", "s + 9", "s + 25"], ["s", "n + 19", "n + 44"], ["n", "w + 2", "w + 46"], ["w", "p + 15", "p + 61"], ["p", "d + 3", "d + 64"], ["d", 9, "73"]], "target_var_name": "j", "target_value": 73, "value_dict": {"d": 9}, "is_reverse": true}} | 19,970 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = s + 9; e = g + 14; p = d + 3; j = i + 16; s = n + 19; n = w + 2; b = x + 14; t = e + 11; x = t + 1; z = d + 6; g = z + 6; w = p + 15; d = 9. If d = 9, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = s + 9 to j, which gives j = s + 25.\n2. Substitute s = n + 19 to j, which gives j = n + 44.\n3. Substitute n = w + 2 to j, which gives j = w + 46.\n4. Substitute w = p + 15 to j, which gives j = p + 61.\n5. Substitute p = d + 3 to j, which gives j = d + 64.\n6. Substitute d = 9 to j, which gives j = 73.\n\nThus, the final answer is j = \\boxed{73}.",
"index": 19970,
"question": "Consider a system of variables where each variable is defined as follows: i = s + 9; e = g + 14; p = d + 3; j = i + 16; s = n + 19; n = w + 2; b = x + 14; t = e + 11; x = t + 1; z = d + 6; g = z + 6; w = p + 15; d = 9. If d = 9, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"e": "z + 7", "x": "e + 1", "b": "x + 17", "o": "b + 12", "f": "o + 3", "k": "f + 15", "h": "z + 4", "s": "h + 6", "n": "s + 17", "c": "n + 18", "j": "c + 11", "u": "j + 19", "z": 5}, "premises": {"z": 5}, "target": "k"}, "answer": {"steps": [["f", "o + 3", "o + 18"], ["o", "b + 12", "b + 30"], ["b", "x + 17", "x + 47"], ["x", "e + 1", "e + 48"], ["e", "z + 7", "z + 55"], ["z", 5, "60"]], "target_var_name": "k", "target_value": 60, "value_dict": {"z": 5}, "is_reverse": true}} | 19,971 | 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 = f + 15; f = o + 3; u = j + 19; n = s + 17; h = z + 4; j = c + 11; b = x + 17; o = b + 12; x = e + 1; z = 5; s = h + 6; c = n + 18; e = z + 7. If z = 5, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = o + 3 to k, which gives k = o + 18.\n2. Substitute o = b + 12 to k, which gives k = b + 30.\n3. Substitute b = x + 17 to k, which gives k = x + 47.\n4. Substitute x = e + 1 to k, which gives k = e + 48.\n5. Substitute e = z + 7 to k, which gives k = z + 55.\n6. Substitute z = 5 to k, which gives k = 60.\n\nThus, the final answer is k = \\boxed{60}.",
"index": 19971,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = f + 15; f = o + 3; u = j + 19; n = s + 17; h = z + 4; j = c + 11; b = x + 17; o = b + 12; x = e + 1; z = 5; s = h + 6; c = n + 18; e = z + 7. If z = 5, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"r": "s + 4", "v": "r + 16", "e": "v + 3", "f": "e + 15", "u": "f + 2", "x": "u + 3", "k": "s + 14", "b": "k + 14", "t": "b + 12", "o": "t + 4", "z": "o + 16", "g": "z + 1", "s": 2}, "premises": {"s": 2}, "target": "x"}, "answer": {"steps": [["u", "f + 2", "f + 5"], ["f", "e + 15", "e + 20"], ["e", "v + 3", "v + 23"], ["v", "r + 16", "r + 39"], ["r", "s + 4", "s + 43"], ["s", 2, "45"]], "target_var_name": "x", "target_value": 45, "value_dict": {"s": 2}, "is_reverse": true}} | 19,972 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = k + 14; z = o + 16; s = 2; g = z + 1; x = u + 3; o = t + 4; e = v + 3; f = e + 15; r = s + 4; k = s + 14; v = r + 16; t = b + 12; u = f + 2. Given that s = 2, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = f + 2 to x, which gives x = f + 5.\n2. Substitute f = e + 15 to x, which gives x = e + 20.\n3. Substitute e = v + 3 to x, which gives x = v + 23.\n4. Substitute v = r + 16 to x, which gives x = r + 39.\n5. Substitute r = s + 4 to x, which gives x = s + 43.\n6. Substitute s = 2 to x, which gives x = 45.\n\nThus, the final answer is x = \\boxed{45}.",
"index": 19972,
"question": "Suppose a collection of variables is related by the following definitions: b = k + 14; z = o + 16; s = 2; g = z + 1; x = u + 3; o = t + 4; e = v + 3; f = e + 15; r = s + 4; k = s + 14; v = r + 16; t = b + 12; u = f + 2. Given that s = 2, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"a": "e + 12", "k": "a + 5", "z": "k + 18", "m": "z + 1", "l": "m + 1", "f": "l + 18", "p": "e + 19", "g": "p + 11", "j": "g + 9", "y": "j + 7", "b": "y + 10", "o": "b + 10", "e": 6}, "premises": {"e": 6}, "target": "f"}, "answer": {"steps": [["l", "m + 1", "m + 19"], ["m", "z + 1", "z + 20"], ["z", "k + 18", "k + 38"], ["k", "a + 5", "a + 43"], ["a", "e + 12", "e + 55"], ["e", 6, "61"]], "target_var_name": "f", "target_value": 61, "value_dict": {"e": 6}, "is_reverse": true}} | 19,973 | 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 = a + 5; b = y + 10; p = e + 19; y = j + 7; l = m + 1; e = 6; m = z + 1; f = l + 18; o = b + 10; j = g + 9; a = e + 12; z = k + 18; g = p + 11. If e = 6, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = m + 1 to f, which gives f = m + 19.\n2. Substitute m = z + 1 to f, which gives f = z + 20.\n3. Substitute z = k + 18 to f, which gives f = k + 38.\n4. Substitute k = a + 5 to f, which gives f = a + 43.\n5. Substitute a = e + 12 to f, which gives f = e + 55.\n6. Substitute e = 6 to f, which gives f = 61.\n\nThus, the final answer is f = \\boxed{61}.",
"index": 19973,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = a + 5; b = y + 10; p = e + 19; y = j + 7; l = m + 1; e = 6; m = z + 1; f = l + 18; o = b + 10; j = g + 9; a = e + 12; z = k + 18; g = p + 11. If e = 6, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"k": "s + 8", "l": "k + 15", "f": "l + 6", "o": "f + 5", "m": "o + 9", "b": "m + 20", "g": "s + 19", "e": "g + 20", "t": "e + 9", "q": "t + 19", "w": "q + 19", "y": "w + 10", "s": 4}, "premises": {"s": 4}, "target": "b"}, "answer": {"steps": [["m", "o + 9", "o + 29"], ["o", "f + 5", "f + 34"], ["f", "l + 6", "l + 40"], ["l", "k + 15", "k + 55"], ["k", "s + 8", "s + 63"], ["s", 4, "67"]], "target_var_name": "b", "target_value": 67, "value_dict": {"s": 4}, "is_reverse": true}} | 19,974 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = k + 15; f = l + 6; s = 4; e = g + 20; o = f + 5; w = q + 19; q = t + 19; b = m + 20; t = e + 9; m = o + 9; k = s + 8; y = w + 10; g = s + 19. If s = 4, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = o + 9 to b, which gives b = o + 29.\n2. Substitute o = f + 5 to b, which gives b = f + 34.\n3. Substitute f = l + 6 to b, which gives b = l + 40.\n4. Substitute l = k + 15 to b, which gives b = k + 55.\n5. Substitute k = s + 8 to b, which gives b = s + 63.\n6. Substitute s = 4 to b, which gives b = 67.\n\nThus, the final answer is b = \\boxed{67}.",
"index": 19974,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = k + 15; f = l + 6; s = 4; e = g + 20; o = f + 5; w = q + 19; q = t + 19; b = m + 20; t = e + 9; m = o + 9; k = s + 8; y = w + 10; g = s + 19. If s = 4, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"f": "t + 14", "h": "f + 1", "c": "h + 9", "z": "c + 3", "a": "z + 7", "g": "a + 7", "y": "t + 13", "u": "y + 13", "e": "u + 10", "m": "e + 7", "s": "m + 2", "i": "s + 13", "t": 7}, "premises": {"t": 7}, "target": "g"}, "answer": {"steps": [["a", "z + 7", "z + 14"], ["z", "c + 3", "c + 17"], ["c", "h + 9", "h + 26"], ["h", "f + 1", "f + 27"], ["f", "t + 14", "t + 41"], ["t", 7, "48"]], "target_var_name": "g", "target_value": 48, "value_dict": {"t": 7}, "is_reverse": true}} | 19,975 | 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 = u + 10; c = h + 9; f = t + 14; t = 7; h = f + 1; u = y + 13; y = t + 13; z = c + 3; a = z + 7; m = e + 7; i = s + 13; s = m + 2; g = a + 7. If t = 7, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = z + 7 to g, which gives g = z + 14.\n2. Substitute z = c + 3 to g, which gives g = c + 17.\n3. Substitute c = h + 9 to g, which gives g = h + 26.\n4. Substitute h = f + 1 to g, which gives g = f + 27.\n5. Substitute f = t + 14 to g, which gives g = t + 41.\n6. Substitute t = 7 to g, which gives g = 48.\n\nThus, the final answer is g = \\boxed{48}.",
"index": 19975,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = u + 10; c = h + 9; f = t + 14; t = 7; h = f + 1; u = y + 13; y = t + 13; z = c + 3; a = z + 7; m = e + 7; i = s + 13; s = m + 2; g = a + 7. If t = 7, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"x": "a + 19", "d": "x + 13", "p": "d + 12", "v": "p + 3", "y": "v + 5", "q": "y + 2", "h": "a + 1", "m": "h + 2", "n": "m + 1", "r": "n + 6", "f": "r + 7", "z": "f + 4", "a": 19}, "premises": {"a": 19}, "target": "q"}, "answer": {"steps": [["y", "v + 5", "v + 7"], ["v", "p + 3", "p + 10"], ["p", "d + 12", "d + 22"], ["d", "x + 13", "x + 35"], ["x", "a + 19", "a + 54"], ["a", 19, "73"]], "target_var_name": "q", "target_value": 73, "value_dict": {"a": 19}, "is_reverse": true}} | 19,976 | 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 = m + 1; f = r + 7; q = y + 2; h = a + 1; d = x + 13; r = n + 6; a = 19; z = f + 4; p = d + 12; x = a + 19; v = p + 3; y = v + 5; m = h + 2. If a = 19, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = v + 5 to q, which gives q = v + 7.\n2. Substitute v = p + 3 to q, which gives q = p + 10.\n3. Substitute p = d + 12 to q, which gives q = d + 22.\n4. Substitute d = x + 13 to q, which gives q = x + 35.\n5. Substitute x = a + 19 to q, which gives q = a + 54.\n6. Substitute a = 19 to q, which gives q = 73.\n\nThus, the final answer is q = \\boxed{73}.",
"index": 19976,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = m + 1; f = r + 7; q = y + 2; h = a + 1; d = x + 13; r = n + 6; a = 19; z = f + 4; p = d + 12; x = a + 19; v = p + 3; y = v + 5; m = h + 2. If a = 19, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"h": "d + 9", "y": "h + 18", "n": "y + 16", "m": "n + 7", "e": "m + 3", "g": "e + 19", "w": "d + 1", "k": "w + 16", "o": "k + 11", "a": "o + 1", "u": "a + 14", "p": "u + 5", "d": 9}, "premises": {"d": 9}, "target": "g"}, "answer": {"steps": [["e", "m + 3", "m + 22"], ["m", "n + 7", "n + 29"], ["n", "y + 16", "y + 45"], ["y", "h + 18", "h + 63"], ["h", "d + 9", "d + 72"], ["d", 9, "81"]], "target_var_name": "g", "target_value": 81, "value_dict": {"d": 9}, "is_reverse": true}} | 19,977 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = y + 16; w = d + 1; d = 9; g = e + 19; h = d + 9; m = n + 7; y = h + 18; k = w + 16; u = a + 14; e = m + 3; o = k + 11; a = o + 1; p = u + 5. If d = 9, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = m + 3 to g, which gives g = m + 22.\n2. Substitute m = n + 7 to g, which gives g = n + 29.\n3. Substitute n = y + 16 to g, which gives g = y + 45.\n4. Substitute y = h + 18 to g, which gives g = h + 63.\n5. Substitute h = d + 9 to g, which gives g = d + 72.\n6. Substitute d = 9 to g, which gives g = 81.\n\nThus, the final answer is g = \\boxed{81}.",
"index": 19977,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = y + 16; w = d + 1; d = 9; g = e + 19; h = d + 9; m = n + 7; y = h + 18; k = w + 16; u = a + 14; e = m + 3; o = k + 11; a = o + 1; p = u + 5. If d = 9, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"g": "a + 17", "p": "g + 9", "k": "p + 16", "i": "k + 18", "s": "i + 18", "o": "s + 20", "q": "a + 6", "b": "q + 4", "f": "b + 12", "j": "f + 17", "n": "j + 4", "z": "n + 7", "a": 12}, "premises": {"a": 12}, "target": "o"}, "answer": {"steps": [["s", "i + 18", "i + 38"], ["i", "k + 18", "k + 56"], ["k", "p + 16", "p + 72"], ["p", "g + 9", "g + 81"], ["g", "a + 17", "a + 98"], ["a", 12, "110"]], "target_var_name": "o", "target_value": 110, "value_dict": {"a": 12}, "is_reverse": true}} | 19,978 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = 12; p = g + 9; g = a + 17; o = s + 20; f = b + 12; k = p + 16; i = k + 18; n = j + 4; j = f + 17; z = n + 7; b = q + 4; s = i + 18; q = a + 6. If a = 12, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 110,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = i + 18 to o, which gives o = i + 38.\n2. Substitute i = k + 18 to o, which gives o = k + 56.\n3. Substitute k = p + 16 to o, which gives o = p + 72.\n4. Substitute p = g + 9 to o, which gives o = g + 81.\n5. Substitute g = a + 17 to o, which gives o = a + 98.\n6. Substitute a = 12 to o, which gives o = 110.\n\nThus, the final answer is o = \\boxed{110}.",
"index": 19978,
"question": "Consider a system of variables where each variable is defined as follows: a = 12; p = g + 9; g = a + 17; o = s + 20; f = b + 12; k = p + 16; i = k + 18; n = j + 4; j = f + 17; z = n + 7; b = q + 4; s = i + 18; q = a + 6. If a = 12, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"u": "c + 11", "q": "u + 8", "r": "q + 11", "k": "r + 4", "l": "k + 8", "m": "l + 20", "h": "c + 17", "p": "h + 14", "e": "p + 6", "t": "e + 15", "f": "t + 16", "w": "f + 7", "c": 11}, "premises": {"c": 11}, "target": "m"}, "answer": {"steps": [["l", "k + 8", "k + 28"], ["k", "r + 4", "r + 32"], ["r", "q + 11", "q + 43"], ["q", "u + 8", "u + 51"], ["u", "c + 11", "c + 62"], ["c", 11, "73"]], "target_var_name": "m", "target_value": 73, "value_dict": {"c": 11}, "is_reverse": true}} | 19,979 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = u + 8; w = f + 7; h = c + 17; c = 11; l = k + 8; m = l + 20; r = q + 11; u = c + 11; f = t + 16; e = p + 6; p = h + 14; k = r + 4; t = e + 15. Given that c = 11, 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 l = k + 8 to m, which gives m = k + 28.\n2. Substitute k = r + 4 to m, which gives m = r + 32.\n3. Substitute r = q + 11 to m, which gives m = q + 43.\n4. Substitute q = u + 8 to m, which gives m = u + 51.\n5. Substitute u = c + 11 to m, which gives m = c + 62.\n6. Substitute c = 11 to m, which gives m = 73.\n\nThus, the final answer is m = \\boxed{73}.",
"index": 19979,
"question": "Suppose a collection of variables is related by the following definitions: q = u + 8; w = f + 7; h = c + 17; c = 11; l = k + 8; m = l + 20; r = q + 11; u = c + 11; f = t + 16; e = p + 6; p = h + 14; k = r + 4; t = e + 15. Given that c = 11, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"g": "t + 7", "e": "g + 13", "n": "e + 4", "k": "n + 19", "x": "k + 5", "h": "x + 5", "f": "t + 11", "l": "f + 8", "y": "l + 15", "o": "y + 18", "z": "o + 8", "u": "z + 8", "t": 4}, "premises": {"t": 4}, "target": "h"}, "answer": {"steps": [["x", "k + 5", "k + 10"], ["k", "n + 19", "n + 29"], ["n", "e + 4", "e + 33"], ["e", "g + 13", "g + 46"], ["g", "t + 7", "t + 53"], ["t", 4, "57"]], "target_var_name": "h", "target_value": 57, "value_dict": {"t": 4}, "is_reverse": true}} | 19,980 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = x + 5; x = k + 5; e = g + 13; g = t + 7; k = n + 19; n = e + 4; t = 4; z = o + 8; f = t + 11; o = y + 18; y = l + 15; u = z + 8; l = f + 8. If t = 4, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = k + 5 to h, which gives h = k + 10.\n2. Substitute k = n + 19 to h, which gives h = n + 29.\n3. Substitute n = e + 4 to h, which gives h = e + 33.\n4. Substitute e = g + 13 to h, which gives h = g + 46.\n5. Substitute g = t + 7 to h, which gives h = t + 53.\n6. Substitute t = 4 to h, which gives h = 57.\n\nThus, the final answer is h = \\boxed{57}.",
"index": 19980,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = x + 5; x = k + 5; e = g + 13; g = t + 7; k = n + 19; n = e + 4; t = 4; z = o + 8; f = t + 11; o = y + 18; y = l + 15; u = z + 8; l = f + 8. If t = 4, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"l": "f + 6", "i": "l + 14", "g": "i + 14", "a": "g + 7", "c": "a + 13", "q": "c + 19", "n": "f + 16", "k": "n + 11", "v": "k + 7", "h": "v + 14", "y": "h + 4", "r": "y + 9", "f": 4}, "premises": {"f": 4}, "target": "q"}, "answer": {"steps": [["c", "a + 13", "a + 32"], ["a", "g + 7", "g + 39"], ["g", "i + 14", "i + 53"], ["i", "l + 14", "l + 67"], ["l", "f + 6", "f + 73"], ["f", 4, "77"]], "target_var_name": "q", "target_value": 77, "value_dict": {"f": 4}, "is_reverse": true}} | 19,981 | 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 = l + 14; a = g + 7; v = k + 7; q = c + 19; c = a + 13; l = f + 6; y = h + 4; k = n + 11; g = i + 14; n = f + 16; r = y + 9; f = 4; h = v + 14. If f = 4, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = a + 13 to q, which gives q = a + 32.\n2. Substitute a = g + 7 to q, which gives q = g + 39.\n3. Substitute g = i + 14 to q, which gives q = i + 53.\n4. Substitute i = l + 14 to q, which gives q = l + 67.\n5. Substitute l = f + 6 to q, which gives q = f + 73.\n6. Substitute f = 4 to q, which gives q = 77.\n\nThus, the final answer is q = \\boxed{77}.",
"index": 19981,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = l + 14; a = g + 7; v = k + 7; q = c + 19; c = a + 13; l = f + 6; y = h + 4; k = n + 11; g = i + 14; n = f + 16; r = y + 9; f = 4; h = v + 14. If f = 4, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"h": "k + 7", "u": "h + 4", "z": "u + 5", "a": "z + 4", "p": "a + 4", "w": "p + 12", "o": "k + 18", "t": "o + 16", "v": "t + 7", "b": "v + 13", "e": "b + 17", "l": "e + 12", "k": 9}, "premises": {"k": 9}, "target": "w"}, "answer": {"steps": [["p", "a + 4", "a + 16"], ["a", "z + 4", "z + 20"], ["z", "u + 5", "u + 25"], ["u", "h + 4", "h + 29"], ["h", "k + 7", "k + 36"], ["k", 9, "45"]], "target_var_name": "w", "target_value": 45, "value_dict": {"k": 9}, "is_reverse": true}} | 19,982 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = k + 18; t = o + 16; p = a + 4; e = b + 17; u = h + 4; w = p + 12; a = z + 4; h = k + 7; b = v + 13; k = 9; v = t + 7; z = u + 5; l = e + 12. Given that k = 9, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = a + 4 to w, which gives w = a + 16.\n2. Substitute a = z + 4 to w, which gives w = z + 20.\n3. Substitute z = u + 5 to w, which gives w = u + 25.\n4. Substitute u = h + 4 to w, which gives w = h + 29.\n5. Substitute h = k + 7 to w, which gives w = k + 36.\n6. Substitute k = 9 to w, which gives w = 45.\n\nThus, the final answer is w = \\boxed{45}.",
"index": 19982,
"question": "Suppose a collection of variables is related by the following definitions: o = k + 18; t = o + 16; p = a + 4; e = b + 17; u = h + 4; w = p + 12; a = z + 4; h = k + 7; b = v + 13; k = 9; v = t + 7; z = u + 5; l = e + 12. Given that k = 9, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"y": "u + 7", "b": "y + 4", "i": "b + 12", "s": "i + 5", "c": "s + 9", "g": "c + 4", "j": "u + 14", "r": "j + 9", "o": "r + 1", "a": "o + 5", "z": "a + 19", "m": "z + 17", "u": 20}, "premises": {"u": 20}, "target": "g"}, "answer": {"steps": [["c", "s + 9", "s + 13"], ["s", "i + 5", "i + 18"], ["i", "b + 12", "b + 30"], ["b", "y + 4", "y + 34"], ["y", "u + 7", "u + 41"], ["u", 20, "61"]], "target_var_name": "g", "target_value": 61, "value_dict": {"u": 20}, "is_reverse": true}} | 19,983 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = z + 17; s = i + 5; b = y + 4; z = a + 19; a = o + 5; c = s + 9; j = u + 14; y = u + 7; r = j + 9; o = r + 1; u = 20; i = b + 12; g = c + 4. Given that u = 20, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = s + 9 to g, which gives g = s + 13.\n2. Substitute s = i + 5 to g, which gives g = i + 18.\n3. Substitute i = b + 12 to g, which gives g = b + 30.\n4. Substitute b = y + 4 to g, which gives g = y + 34.\n5. Substitute y = u + 7 to g, which gives g = u + 41.\n6. Substitute u = 20 to g, which gives g = 61.\n\nThus, the final answer is g = \\boxed{61}.",
"index": 19983,
"question": "Suppose a collection of variables is related by the following definitions: m = z + 17; s = i + 5; b = y + 4; z = a + 19; a = o + 5; c = s + 9; j = u + 14; y = u + 7; r = j + 9; o = r + 1; u = 20; i = b + 12; g = c + 4. Given that u = 20, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"c": "p + 4", "x": "c + 9", "f": "x + 11", "s": "f + 10", "b": "s + 7", "k": "b + 2", "z": "p + 18", "d": "z + 13", "h": "d + 1", "m": "h + 11", "e": "m + 6", "i": "e + 10", "p": 20}, "premises": {"p": 20}, "target": "k"}, "answer": {"steps": [["b", "s + 7", "s + 9"], ["s", "f + 10", "f + 19"], ["f", "x + 11", "x + 30"], ["x", "c + 9", "c + 39"], ["c", "p + 4", "p + 43"], ["p", 20, "63"]], "target_var_name": "k", "target_value": 63, "value_dict": {"p": 20}, "is_reverse": true}} | 19,984 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = z + 13; z = p + 18; x = c + 9; p = 20; k = b + 2; h = d + 1; c = p + 4; m = h + 11; f = x + 11; b = s + 7; s = f + 10; i = e + 10; e = m + 6. Given that p = 20, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = s + 7 to k, which gives k = s + 9.\n2. Substitute s = f + 10 to k, which gives k = f + 19.\n3. Substitute f = x + 11 to k, which gives k = x + 30.\n4. Substitute x = c + 9 to k, which gives k = c + 39.\n5. Substitute c = p + 4 to k, which gives k = p + 43.\n6. Substitute p = 20 to k, which gives k = 63.\n\nThus, the final answer is k = \\boxed{63}.",
"index": 19984,
"question": "Suppose a collection of variables is related by the following definitions: d = z + 13; z = p + 18; x = c + 9; p = 20; k = b + 2; h = d + 1; c = p + 4; m = h + 11; f = x + 11; b = s + 7; s = f + 10; i = e + 10; e = m + 6. Given that p = 20, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"z": "b + 12", "t": "z + 15", "x": "t + 20", "c": "x + 5", "y": "c + 11", "e": "y + 4", "r": "b + 4", "m": "r + 15", "j": "m + 14", "k": "j + 13", "n": "k + 19", "g": "n + 2", "b": 18}, "premises": {"b": 18}, "target": "e"}, "answer": {"steps": [["y", "c + 11", "c + 15"], ["c", "x + 5", "x + 20"], ["x", "t + 20", "t + 40"], ["t", "z + 15", "z + 55"], ["z", "b + 12", "b + 67"], ["b", 18, "85"]], "target_var_name": "e", "target_value": 85, "value_dict": {"b": 18}, "is_reverse": true}} | 19,985 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = 18; r = b + 4; z = b + 12; x = t + 20; g = n + 2; t = z + 15; e = y + 4; k = j + 13; n = k + 19; m = r + 15; j = m + 14; c = x + 5; y = c + 11. If b = 18, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = c + 11 to e, which gives e = c + 15.\n2. Substitute c = x + 5 to e, which gives e = x + 20.\n3. Substitute x = t + 20 to e, which gives e = t + 40.\n4. Substitute t = z + 15 to e, which gives e = z + 55.\n5. Substitute z = b + 12 to e, which gives e = b + 67.\n6. Substitute b = 18 to e, which gives e = 85.\n\nThus, the final answer is e = \\boxed{85}.",
"index": 19985,
"question": "Consider a system of variables where each variable is defined as follows: b = 18; r = b + 4; z = b + 12; x = t + 20; g = n + 2; t = z + 15; e = y + 4; k = j + 13; n = k + 19; m = r + 15; j = m + 14; c = x + 5; y = c + 11. If b = 18, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"d": "r + 18", "c": "d + 12", "h": "c + 13", "a": "h + 11", "f": "a + 4", "k": "f + 15", "e": "r + 15", "g": "e + 16", "i": "g + 18", "p": "i + 7", "v": "p + 1", "u": "v + 1", "r": 9}, "premises": {"r": 9}, "target": "k"}, "answer": {"steps": [["f", "a + 4", "a + 19"], ["a", "h + 11", "h + 30"], ["h", "c + 13", "c + 43"], ["c", "d + 12", "d + 55"], ["d", "r + 18", "r + 73"], ["r", 9, "82"]], "target_var_name": "k", "target_value": 82, "value_dict": {"r": 9}, "is_reverse": true}} | 19,986 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = c + 13; d = r + 18; e = r + 15; a = h + 11; i = g + 18; g = e + 16; f = a + 4; r = 9; c = d + 12; p = i + 7; v = p + 1; k = f + 15; u = v + 1. If r = 9, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = a + 4 to k, which gives k = a + 19.\n2. Substitute a = h + 11 to k, which gives k = h + 30.\n3. Substitute h = c + 13 to k, which gives k = c + 43.\n4. Substitute c = d + 12 to k, which gives k = d + 55.\n5. Substitute d = r + 18 to k, which gives k = r + 73.\n6. Substitute r = 9 to k, which gives k = 82.\n\nThus, the final answer is k = \\boxed{82}.",
"index": 19986,
"question": "Consider a system of variables where each variable is defined as follows: h = c + 13; d = r + 18; e = r + 15; a = h + 11; i = g + 18; g = e + 16; f = a + 4; r = 9; c = d + 12; p = i + 7; v = p + 1; k = f + 15; u = v + 1. If r = 9, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"o": "f + 19", "r": "o + 15", "x": "r + 8", "q": "x + 7", "u": "q + 9", "z": "u + 9", "c": "f + 2", "n": "c + 6", "v": "n + 5", "i": "v + 14", "m": "i + 16", "t": "m + 5", "f": 8}, "premises": {"f": 8}, "target": "z"}, "answer": {"steps": [["u", "q + 9", "q + 18"], ["q", "x + 7", "x + 25"], ["x", "r + 8", "r + 33"], ["r", "o + 15", "o + 48"], ["o", "f + 19", "f + 67"], ["f", 8, "75"]], "target_var_name": "z", "target_value": 75, "value_dict": {"f": 8}, "is_reverse": true}} | 19,987 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = m + 5; o = f + 19; m = i + 16; z = u + 9; i = v + 14; c = f + 2; n = c + 6; x = r + 8; q = x + 7; f = 8; r = o + 15; v = n + 5; u = q + 9. If f = 8, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = q + 9 to z, which gives z = q + 18.\n2. Substitute q = x + 7 to z, which gives z = x + 25.\n3. Substitute x = r + 8 to z, which gives z = r + 33.\n4. Substitute r = o + 15 to z, which gives z = o + 48.\n5. Substitute o = f + 19 to z, which gives z = f + 67.\n6. Substitute f = 8 to z, which gives z = 75.\n\nThus, the final answer is z = \\boxed{75}.",
"index": 19987,
"question": "Consider a system of variables where each variable is defined as follows: t = m + 5; o = f + 19; m = i + 16; z = u + 9; i = v + 14; c = f + 2; n = c + 6; x = r + 8; q = x + 7; f = 8; r = o + 15; v = n + 5; u = q + 9. If f = 8, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"o": "b + 5", "n": "o + 3", "d": "n + 8", "a": "d + 5", "z": "a + 5", "i": "z + 4", "x": "b + 15", "j": "x + 5", "q": "j + 3", "u": "q + 1", "m": "u + 14", "r": "m + 4", "b": 16}, "premises": {"b": 16}, "target": "i"}, "answer": {"steps": [["z", "a + 5", "a + 9"], ["a", "d + 5", "d + 14"], ["d", "n + 8", "n + 22"], ["n", "o + 3", "o + 25"], ["o", "b + 5", "b + 30"], ["b", 16, "46"]], "target_var_name": "i", "target_value": 46, "value_dict": {"b": 16}, "is_reverse": true}} | 19,988 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = x + 5; q = j + 3; r = m + 4; o = b + 5; x = b + 15; m = u + 14; a = d + 5; d = n + 8; b = 16; u = q + 1; z = a + 5; i = z + 4; n = o + 3. Given that b = 16, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = a + 5 to i, which gives i = a + 9.\n2. Substitute a = d + 5 to i, which gives i = d + 14.\n3. Substitute d = n + 8 to i, which gives i = n + 22.\n4. Substitute n = o + 3 to i, which gives i = o + 25.\n5. Substitute o = b + 5 to i, which gives i = b + 30.\n6. Substitute b = 16 to i, which gives i = 46.\n\nThus, the final answer is i = \\boxed{46}.",
"index": 19988,
"question": "Suppose a collection of variables is related by the following definitions: j = x + 5; q = j + 3; r = m + 4; o = b + 5; x = b + 15; m = u + 14; a = d + 5; d = n + 8; b = 16; u = q + 1; z = a + 5; i = z + 4; n = o + 3. Given that b = 16, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"p": "y + 12", "w": "p + 6", "q": "w + 14", "h": "q + 15", "u": "h + 16", "i": "u + 16", "e": "y + 19", "c": "e + 15", "j": "c + 7", "s": "j + 15", "k": "s + 17", "r": "k + 10", "y": 12}, "premises": {"y": 12}, "target": "i"}, "answer": {"steps": [["u", "h + 16", "h + 32"], ["h", "q + 15", "q + 47"], ["q", "w + 14", "w + 61"], ["w", "p + 6", "p + 67"], ["p", "y + 12", "y + 79"], ["y", 12, "91"]], "target_var_name": "i", "target_value": 91, "value_dict": {"y": 12}, "is_reverse": true}} | 19,989 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = p + 6; p = y + 12; j = c + 7; s = j + 15; k = s + 17; c = e + 15; h = q + 15; r = k + 10; e = y + 19; y = 12; i = u + 16; q = w + 14; u = h + 16. Given that y = 12, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = h + 16 to i, which gives i = h + 32.\n2. Substitute h = q + 15 to i, which gives i = q + 47.\n3. Substitute q = w + 14 to i, which gives i = w + 61.\n4. Substitute w = p + 6 to i, which gives i = p + 67.\n5. Substitute p = y + 12 to i, which gives i = y + 79.\n6. Substitute y = 12 to i, which gives i = 91.\n\nThus, the final answer is i = \\boxed{91}.",
"index": 19989,
"question": "Suppose a collection of variables is related by the following definitions: w = p + 6; p = y + 12; j = c + 7; s = j + 15; k = s + 17; c = e + 15; h = q + 15; r = k + 10; e = y + 19; y = 12; i = u + 16; q = w + 14; u = h + 16. Given that y = 12, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"i": "s + 5", "d": "i + 8", "b": "d + 5", "m": "b + 19", "f": "m + 20", "w": "f + 18", "q": "s + 4", "g": "q + 18", "k": "g + 19", "t": "k + 4", "l": "t + 16", "z": "l + 14", "s": 20}, "premises": {"s": 20}, "target": "w"}, "answer": {"steps": [["f", "m + 20", "m + 38"], ["m", "b + 19", "b + 57"], ["b", "d + 5", "d + 62"], ["d", "i + 8", "i + 70"], ["i", "s + 5", "s + 75"], ["s", 20, "95"]], "target_var_name": "w", "target_value": 95, "value_dict": {"s": 20}, "is_reverse": true}} | 19,990 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = t + 16; i = s + 5; q = s + 4; z = l + 14; k = g + 19; f = m + 20; d = i + 8; t = k + 4; m = b + 19; w = f + 18; g = q + 18; b = d + 5; s = 20. Given that s = 20, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = m + 20 to w, which gives w = m + 38.\n2. Substitute m = b + 19 to w, which gives w = b + 57.\n3. Substitute b = d + 5 to w, which gives w = d + 62.\n4. Substitute d = i + 8 to w, which gives w = i + 70.\n5. Substitute i = s + 5 to w, which gives w = s + 75.\n6. Substitute s = 20 to w, which gives w = 95.\n\nThus, the final answer is w = \\boxed{95}.",
"index": 19990,
"question": "Suppose a collection of variables is related by the following definitions: l = t + 16; i = s + 5; q = s + 4; z = l + 14; k = g + 19; f = m + 20; d = i + 8; t = k + 4; m = b + 19; w = f + 18; g = q + 18; b = d + 5; s = 20. Given that s = 20, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"d": "v + 11", "c": "d + 11", "f": "c + 5", "l": "f + 12", "x": "l + 16", "i": "x + 17", "n": "v + 18", "z": "n + 1", "h": "z + 5", "r": "h + 17", "e": "r + 6", "s": "e + 8", "v": 18}, "premises": {"v": 18}, "target": "i"}, "answer": {"steps": [["x", "l + 16", "l + 33"], ["l", "f + 12", "f + 45"], ["f", "c + 5", "c + 50"], ["c", "d + 11", "d + 61"], ["d", "v + 11", "v + 72"], ["v", 18, "90"]], "target_var_name": "i", "target_value": 90, "value_dict": {"v": 18}, "is_reverse": true}} | 19,991 | 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 = z + 5; f = c + 5; v = 18; c = d + 11; n = v + 18; d = v + 11; x = l + 16; z = n + 1; r = h + 17; s = e + 8; l = f + 12; e = r + 6; i = x + 17. If v = 18, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = l + 16 to i, which gives i = l + 33.\n2. Substitute l = f + 12 to i, which gives i = f + 45.\n3. Substitute f = c + 5 to i, which gives i = c + 50.\n4. Substitute c = d + 11 to i, which gives i = d + 61.\n5. Substitute d = v + 11 to i, which gives i = v + 72.\n6. Substitute v = 18 to i, which gives i = 90.\n\nThus, the final answer is i = \\boxed{90}.",
"index": 19991,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = z + 5; f = c + 5; v = 18; c = d + 11; n = v + 18; d = v + 11; x = l + 16; z = n + 1; r = h + 17; s = e + 8; l = f + 12; e = r + 6; i = x + 17. If v = 18, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"m": "u + 6", "x": "m + 8", "k": "x + 1", "s": "k + 9", "y": "s + 18", "z": "y + 18", "d": "u + 17", "i": "d + 9", "p": "i + 15", "o": "p + 13", "w": "o + 17", "a": "w + 16", "u": 8}, "premises": {"u": 8}, "target": "z"}, "answer": {"steps": [["y", "s + 18", "s + 36"], ["s", "k + 9", "k + 45"], ["k", "x + 1", "x + 46"], ["x", "m + 8", "m + 54"], ["m", "u + 6", "u + 60"], ["u", 8, "68"]], "target_var_name": "z", "target_value": 68, "value_dict": {"u": 8}, "is_reverse": true}} | 19,992 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = d + 9; d = u + 17; y = s + 18; k = x + 1; s = k + 9; x = m + 8; z = y + 18; o = p + 13; a = w + 16; w = o + 17; p = i + 15; m = u + 6; u = 8. If u = 8, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = s + 18 to z, which gives z = s + 36.\n2. Substitute s = k + 9 to z, which gives z = k + 45.\n3. Substitute k = x + 1 to z, which gives z = x + 46.\n4. Substitute x = m + 8 to z, which gives z = m + 54.\n5. Substitute m = u + 6 to z, which gives z = u + 60.\n6. Substitute u = 8 to z, which gives z = 68.\n\nThus, the final answer is z = \\boxed{68}.",
"index": 19992,
"question": "Consider a system of variables where each variable is defined as follows: i = d + 9; d = u + 17; y = s + 18; k = x + 1; s = k + 9; x = m + 8; z = y + 18; o = p + 13; a = w + 16; w = o + 17; p = i + 15; m = u + 6; u = 8. If u = 8, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"b": "k + 4", "f": "b + 6", "p": "f + 19", "a": "p + 3", "r": "a + 2", "y": "r + 3", "z": "k + 16", "n": "z + 13", "q": "n + 12", "l": "q + 16", "e": "l + 15", "t": "e + 5", "k": 8}, "premises": {"k": 8}, "target": "y"}, "answer": {"steps": [["r", "a + 2", "a + 5"], ["a", "p + 3", "p + 8"], ["p", "f + 19", "f + 27"], ["f", "b + 6", "b + 33"], ["b", "k + 4", "k + 37"], ["k", 8, "45"]], "target_var_name": "y", "target_value": 45, "value_dict": {"k": 8}, "is_reverse": true}} | 19,993 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = z + 13; y = r + 3; f = b + 6; z = k + 16; q = n + 12; t = e + 5; b = k + 4; r = a + 2; p = f + 19; k = 8; e = l + 15; l = q + 16; a = p + 3. If k = 8, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = a + 2 to y, which gives y = a + 5.\n2. Substitute a = p + 3 to y, which gives y = p + 8.\n3. Substitute p = f + 19 to y, which gives y = f + 27.\n4. Substitute f = b + 6 to y, which gives y = b + 33.\n5. Substitute b = k + 4 to y, which gives y = k + 37.\n6. Substitute k = 8 to y, which gives y = 45.\n\nThus, the final answer is y = \\boxed{45}.",
"index": 19993,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = z + 13; y = r + 3; f = b + 6; z = k + 16; q = n + 12; t = e + 5; b = k + 4; r = a + 2; p = f + 19; k = 8; e = l + 15; l = q + 16; a = p + 3. If k = 8, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"k": "c + 8", "l": "k + 10", "b": "l + 3", "s": "b + 7", "x": "s + 18", "y": "x + 6", "v": "c + 8", "r": "v + 16", "f": "r + 11", "a": "f + 20", "t": "a + 9", "o": "t + 8", "c": 16}, "premises": {"c": 16}, "target": "y"}, "answer": {"steps": [["x", "s + 18", "s + 24"], ["s", "b + 7", "b + 31"], ["b", "l + 3", "l + 34"], ["l", "k + 10", "k + 44"], ["k", "c + 8", "c + 52"], ["c", 16, "68"]], "target_var_name": "y", "target_value": 68, "value_dict": {"c": 16}, "is_reverse": true}} | 19,994 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = f + 20; k = c + 8; t = a + 9; c = 16; l = k + 10; f = r + 11; r = v + 16; x = s + 18; s = b + 7; y = x + 6; v = c + 8; o = t + 8; b = l + 3. If c = 16, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = s + 18 to y, which gives y = s + 24.\n2. Substitute s = b + 7 to y, which gives y = b + 31.\n3. Substitute b = l + 3 to y, which gives y = l + 34.\n4. Substitute l = k + 10 to y, which gives y = k + 44.\n5. Substitute k = c + 8 to y, which gives y = c + 52.\n6. Substitute c = 16 to y, which gives y = 68.\n\nThus, the final answer is y = \\boxed{68}.",
"index": 19994,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = f + 20; k = c + 8; t = a + 9; c = 16; l = k + 10; f = r + 11; r = v + 16; x = s + 18; s = b + 7; y = x + 6; v = c + 8; o = t + 8; b = l + 3. If c = 16, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"z": "e + 16", "k": "z + 11", "f": "k + 7", "m": "f + 11", "y": "m + 3", "v": "y + 9", "w": "e + 18", "n": "w + 16", "i": "n + 4", "h": "i + 6", "c": "h + 11", "s": "c + 14", "e": 9}, "premises": {"e": 9}, "target": "v"}, "answer": {"steps": [["y", "m + 3", "m + 12"], ["m", "f + 11", "f + 23"], ["f", "k + 7", "k + 30"], ["k", "z + 11", "z + 41"], ["z", "e + 16", "e + 57"], ["e", 9, "66"]], "target_var_name": "v", "target_value": 66, "value_dict": {"e": 9}, "is_reverse": true}} | 19,995 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = h + 11; s = c + 14; i = n + 4; v = y + 9; z = e + 16; f = k + 7; n = w + 16; y = m + 3; m = f + 11; h = i + 6; k = z + 11; w = e + 18; e = 9. If e = 9, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = m + 3 to v, which gives v = m + 12.\n2. Substitute m = f + 11 to v, which gives v = f + 23.\n3. Substitute f = k + 7 to v, which gives v = k + 30.\n4. Substitute k = z + 11 to v, which gives v = z + 41.\n5. Substitute z = e + 16 to v, which gives v = e + 57.\n6. Substitute e = 9 to v, which gives v = 66.\n\nThus, the final answer is v = \\boxed{66}.",
"index": 19995,
"question": "Consider a system of variables where each variable is defined as follows: c = h + 11; s = c + 14; i = n + 4; v = y + 9; z = e + 16; f = k + 7; n = w + 16; y = m + 3; m = f + 11; h = i + 6; k = z + 11; w = e + 18; e = 9. If e = 9, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"j": "h + 11", "z": "j + 15", "e": "z + 11", "c": "e + 5", "v": "c + 4", "b": "v + 3", "i": "h + 11", "y": "i + 11", "m": "y + 6", "k": "m + 9", "w": "k + 6", "n": "w + 3", "h": 13}, "premises": {"h": 13}, "target": "b"}, "answer": {"steps": [["v", "c + 4", "c + 7"], ["c", "e + 5", "e + 12"], ["e", "z + 11", "z + 23"], ["z", "j + 15", "j + 38"], ["j", "h + 11", "h + 49"], ["h", 13, "62"]], "target_var_name": "b", "target_value": 62, "value_dict": {"h": 13}, "is_reverse": true}} | 19,996 | 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 = z + 11; k = m + 9; y = i + 11; m = y + 6; n = w + 3; b = v + 3; h = 13; c = e + 5; v = c + 4; i = h + 11; w = k + 6; z = j + 15; j = h + 11. If h = 13, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = c + 4 to b, which gives b = c + 7.\n2. Substitute c = e + 5 to b, which gives b = e + 12.\n3. Substitute e = z + 11 to b, which gives b = z + 23.\n4. Substitute z = j + 15 to b, which gives b = j + 38.\n5. Substitute j = h + 11 to b, which gives b = h + 49.\n6. Substitute h = 13 to b, which gives b = 62.\n\nThus, the final answer is b = \\boxed{62}.",
"index": 19996,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = z + 11; k = m + 9; y = i + 11; m = y + 6; n = w + 3; b = v + 3; h = 13; c = e + 5; v = c + 4; i = h + 11; w = k + 6; z = j + 15; j = h + 11. If h = 13, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"s": "x + 11", "j": "s + 18", "h": "j + 7", "q": "h + 3", "p": "q + 17", "l": "p + 9", "z": "x + 18", "o": "z + 2", "b": "o + 10", "y": "b + 11", "f": "y + 3", "c": "f + 14", "x": 11}, "premises": {"x": 11}, "target": "l"}, "answer": {"steps": [["p", "q + 17", "q + 26"], ["q", "h + 3", "h + 29"], ["h", "j + 7", "j + 36"], ["j", "s + 18", "s + 54"], ["s", "x + 11", "x + 65"], ["x", 11, "76"]], "target_var_name": "l", "target_value": 76, "value_dict": {"x": 11}, "is_reverse": true}} | 19,997 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = z + 2; c = f + 14; z = x + 18; s = x + 11; j = s + 18; x = 11; l = p + 9; h = j + 7; p = q + 17; f = y + 3; y = b + 11; q = h + 3; b = o + 10. Given that x = 11, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = q + 17 to l, which gives l = q + 26.\n2. Substitute q = h + 3 to l, which gives l = h + 29.\n3. Substitute h = j + 7 to l, which gives l = j + 36.\n4. Substitute j = s + 18 to l, which gives l = s + 54.\n5. Substitute s = x + 11 to l, which gives l = x + 65.\n6. Substitute x = 11 to l, which gives l = 76.\n\nThus, the final answer is l = \\boxed{76}.",
"index": 19997,
"question": "Suppose a collection of variables is related by the following definitions: o = z + 2; c = f + 14; z = x + 18; s = x + 11; j = s + 18; x = 11; l = p + 9; h = j + 7; p = q + 17; f = y + 3; y = b + 11; q = h + 3; b = o + 10. Given that x = 11, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"m": "c + 7", "h": "m + 9", "s": "h + 6", "z": "s + 15", "y": "z + 2", "q": "y + 20", "o": "c + 20", "d": "o + 12", "a": "d + 17", "w": "a + 9", "u": "w + 9", "r": "u + 4", "c": 6}, "premises": {"c": 6}, "target": "q"}, "answer": {"steps": [["y", "z + 2", "z + 22"], ["z", "s + 15", "s + 37"], ["s", "h + 6", "h + 43"], ["h", "m + 9", "m + 52"], ["m", "c + 7", "c + 59"], ["c", 6, "65"]], "target_var_name": "q", "target_value": 65, "value_dict": {"c": 6}, "is_reverse": true}} | 19,998 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = c + 20; w = a + 9; q = y + 20; z = s + 15; s = h + 6; d = o + 12; y = z + 2; c = 6; h = m + 9; m = c + 7; r = u + 4; u = w + 9; a = d + 17. If c = 6, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = z + 2 to q, which gives q = z + 22.\n2. Substitute z = s + 15 to q, which gives q = s + 37.\n3. Substitute s = h + 6 to q, which gives q = h + 43.\n4. Substitute h = m + 9 to q, which gives q = m + 52.\n5. Substitute m = c + 7 to q, which gives q = c + 59.\n6. Substitute c = 6 to q, which gives q = 65.\n\nThus, the final answer is q = \\boxed{65}.",
"index": 19998,
"question": "Consider a system of variables where each variable is defined as follows: o = c + 20; w = a + 9; q = y + 20; z = s + 15; s = h + 6; d = o + 12; y = z + 2; c = 6; h = m + 9; m = c + 7; r = u + 4; u = w + 9; a = d + 17. If c = 6, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"n": "s + 10", "h": "n + 9", "d": "h + 3", "i": "d + 1", "q": "i + 6", "r": "q + 13", "u": "s + 12", "f": "u + 1", "v": "f + 13", "c": "v + 4", "l": "c + 17", "a": "l + 16", "s": 16}, "premises": {"s": 16}, "target": "r"}, "answer": {"steps": [["q", "i + 6", "i + 19"], ["i", "d + 1", "d + 20"], ["d", "h + 3", "h + 23"], ["h", "n + 9", "n + 32"], ["n", "s + 10", "s + 42"], ["s", 16, "58"]], "target_var_name": "r", "target_value": 58, "value_dict": {"s": 16}, "is_reverse": true}} | 19,999 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = n + 9; r = q + 13; u = s + 12; l = c + 17; s = 16; d = h + 3; q = i + 6; i = d + 1; n = s + 10; c = v + 4; f = u + 1; a = l + 16; v = f + 13. If s = 16, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = i + 6 to r, which gives r = i + 19.\n2. Substitute i = d + 1 to r, which gives r = d + 20.\n3. Substitute d = h + 3 to r, which gives r = h + 23.\n4. Substitute h = n + 9 to r, which gives r = n + 32.\n5. Substitute n = s + 10 to r, which gives r = s + 42.\n6. Substitute s = 16 to r, which gives r = 58.\n\nThus, the final answer is r = \\boxed{58}.",
"index": 19999,
"question": "Consider a system of variables where each variable is defined as follows: h = n + 9; r = q + 13; u = s + 12; l = c + 17; s = 16; d = h + 3; q = i + 6; i = d + 1; n = s + 10; c = v + 4; f = u + 1; a = l + 16; v = f + 13. If s = 16, determine the value of r.",
"split": "train"
} |
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