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": {"m": "j + 2", "v": "m + 16", "e": "v + 8", "z": "e + 2", "k": "z + 2", "b": "k + 17", "t": "j + 7", "u": "t + 9", "g": "u + 18", "y": "g + 2", "x": "y + 7", "h": "x + 20", "j": 20}, "premises": {"j": 20}, "target": "b"}, "answer": {"steps": [["k", "z + 2", "z + 19"], ["z", "e + 2", "e + 21"], ["e", "v + 8", "v + 29"], ["v", "m + 16", "m + 45"], ["m", "j + 2", "j + 47"], ["j", 20, "67"]], "target_var_name": "b", "target_value": 67, "value_dict": {"j": 20}, "is_reverse": true}} | 13,000 | 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 = g + 2; b = k + 17; v = m + 16; z = e + 2; j = 20; h = x + 20; e = v + 8; m = j + 2; u = t + 9; g = u + 18; k = z + 2; t = j + 7; x = y + 7. If j = 20, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = z + 2 to b, which gives b = z + 19.\n2. Substitute z = e + 2 to b, which gives b = e + 21.\n3. Substitute e = v + 8 to b, which gives b = v + 29.\n4. Substitute v = m + 16 to b, which gives b = m + 45.\n5. Substitute m = j + 2 to b, which gives b = j + 47.\n6. Substitute j = 20 to b, which gives b = 67.\n\nThus, the final answer is b = \\boxed{67}.",
"index": 13000,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = g + 2; b = k + 17; v = m + 16; z = e + 2; j = 20; h = x + 20; e = v + 8; m = j + 2; u = t + 9; g = u + 18; k = z + 2; t = j + 7; x = y + 7. If j = 20, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"m": "b + 19", "g": "m + 18", "d": "g + 16", "u": "d + 2", "n": "u + 8", "z": "n + 3", "o": "b + 16", "a": "o + 3", "p": "a + 2", "s": "p + 9", "i": "s + 19", "l": "i + 13", "b": 15}, "premises": {"b": 15}, "target": "z"}, "answer": {"steps": [["n", "u + 8", "u + 11"], ["u", "d + 2", "d + 13"], ["d", "g + 16", "g + 29"], ["g", "m + 18", "m + 47"], ["m", "b + 19", "b + 66"], ["b", 15, "81"]], "target_var_name": "z", "target_value": 81, "value_dict": {"b": 15}, "is_reverse": true}} | 13,001 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = g + 16; i = s + 19; l = i + 13; o = b + 16; g = m + 18; p = a + 2; u = d + 2; m = b + 19; s = p + 9; z = n + 3; a = o + 3; b = 15; n = u + 8. If b = 15, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = u + 8 to z, which gives z = u + 11.\n2. Substitute u = d + 2 to z, which gives z = d + 13.\n3. Substitute d = g + 16 to z, which gives z = g + 29.\n4. Substitute g = m + 18 to z, which gives z = m + 47.\n5. Substitute m = b + 19 to z, which gives z = b + 66.\n6. Substitute b = 15 to z, which gives z = 81.\n\nThus, the final answer is z = \\boxed{81}.",
"index": 13001,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = g + 16; i = s + 19; l = i + 13; o = b + 16; g = m + 18; p = a + 2; u = d + 2; m = b + 19; s = p + 9; z = n + 3; a = o + 3; b = 15; n = u + 8. If b = 15, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"g": "l + 3", "t": "g + 8", "h": "t + 7", "o": "h + 1", "d": "o + 14", "w": "d + 1", "e": "l + 6", "m": "e + 17", "j": "m + 13", "a": "j + 15", "r": "a + 16", "q": "r + 12", "l": 19}, "premises": {"l": 19}, "target": "w"}, "answer": {"steps": [["d", "o + 14", "o + 15"], ["o", "h + 1", "h + 16"], ["h", "t + 7", "t + 23"], ["t", "g + 8", "g + 31"], ["g", "l + 3", "l + 34"], ["l", 19, "53"]], "target_var_name": "w", "target_value": 53, "value_dict": {"l": 19}, "is_reverse": true}} | 13,002 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = m + 13; m = e + 17; e = l + 6; h = t + 7; r = a + 16; g = l + 3; l = 19; a = j + 15; w = d + 1; t = g + 8; d = o + 14; q = r + 12; o = h + 1. Given that l = 19, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = o + 14 to w, which gives w = o + 15.\n2. Substitute o = h + 1 to w, which gives w = h + 16.\n3. Substitute h = t + 7 to w, which gives w = t + 23.\n4. Substitute t = g + 8 to w, which gives w = g + 31.\n5. Substitute g = l + 3 to w, which gives w = l + 34.\n6. Substitute l = 19 to w, which gives w = 53.\n\nThus, the final answer is w = \\boxed{53}.",
"index": 13002,
"question": "Suppose a collection of variables is related by the following definitions: j = m + 13; m = e + 17; e = l + 6; h = t + 7; r = a + 16; g = l + 3; l = 19; a = j + 15; w = d + 1; t = g + 8; d = o + 14; q = r + 12; o = h + 1. Given that l = 19, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"m": "x + 3", "d": "m + 6", "n": "d + 11", "z": "n + 18", "e": "z + 18", "i": "e + 15", "h": "x + 12", "q": "h + 4", "j": "q + 17", "f": "j + 10", "b": "f + 17", "g": "b + 5", "x": 1}, "premises": {"x": 1}, "target": "i"}, "answer": {"steps": [["e", "z + 18", "z + 33"], ["z", "n + 18", "n + 51"], ["n", "d + 11", "d + 62"], ["d", "m + 6", "m + 68"], ["m", "x + 3", "x + 71"], ["x", 1, "72"]], "target_var_name": "i", "target_value": 72, "value_dict": {"x": 1}, "is_reverse": true}} | 13,003 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = h + 4; g = b + 5; i = e + 15; m = x + 3; x = 1; j = q + 17; f = j + 10; b = f + 17; n = d + 11; e = z + 18; d = m + 6; h = x + 12; z = n + 18. If x = 1, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = z + 18 to i, which gives i = z + 33.\n2. Substitute z = n + 18 to i, which gives i = n + 51.\n3. Substitute n = d + 11 to i, which gives i = d + 62.\n4. Substitute d = m + 6 to i, which gives i = m + 68.\n5. Substitute m = x + 3 to i, which gives i = x + 71.\n6. Substitute x = 1 to i, which gives i = 72.\n\nThus, the final answer is i = \\boxed{72}.",
"index": 13003,
"question": "Consider a system of variables where each variable is defined as follows: q = h + 4; g = b + 5; i = e + 15; m = x + 3; x = 1; j = q + 17; f = j + 10; b = f + 17; n = d + 11; e = z + 18; d = m + 6; h = x + 12; z = n + 18. If x = 1, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"a": "y + 13", "p": "a + 14", "t": "p + 17", "b": "t + 10", "c": "b + 8", "l": "c + 16", "v": "y + 14", "f": "v + 15", "e": "f + 8", "u": "e + 4", "m": "u + 3", "h": "m + 5", "y": 8}, "premises": {"y": 8}, "target": "l"}, "answer": {"steps": [["c", "b + 8", "b + 24"], ["b", "t + 10", "t + 34"], ["t", "p + 17", "p + 51"], ["p", "a + 14", "a + 65"], ["a", "y + 13", "y + 78"], ["y", 8, "86"]], "target_var_name": "l", "target_value": 86, "value_dict": {"y": 8}, "is_reverse": true}} | 13,004 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = e + 4; t = p + 17; e = f + 8; y = 8; b = t + 10; f = v + 15; a = y + 13; p = a + 14; c = b + 8; h = m + 5; v = y + 14; l = c + 16; m = u + 3. If y = 8, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = b + 8 to l, which gives l = b + 24.\n2. Substitute b = t + 10 to l, which gives l = t + 34.\n3. Substitute t = p + 17 to l, which gives l = p + 51.\n4. Substitute p = a + 14 to l, which gives l = a + 65.\n5. Substitute a = y + 13 to l, which gives l = y + 78.\n6. Substitute y = 8 to l, which gives l = 86.\n\nThus, the final answer is l = \\boxed{86}.",
"index": 13004,
"question": "Consider a system of variables where each variable is defined as follows: u = e + 4; t = p + 17; e = f + 8; y = 8; b = t + 10; f = v + 15; a = y + 13; p = a + 14; c = b + 8; h = m + 5; v = y + 14; l = c + 16; m = u + 3. If y = 8, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"z": "j + 10", "i": "z + 16", "g": "i + 20", "x": "g + 6", "q": "x + 14", "w": "q + 20", "v": "j + 9", "t": "v + 15", "m": "t + 5", "a": "m + 1", "b": "a + 16", "d": "b + 17", "j": 11}, "premises": {"j": 11}, "target": "w"}, "answer": {"steps": [["q", "x + 14", "x + 34"], ["x", "g + 6", "g + 40"], ["g", "i + 20", "i + 60"], ["i", "z + 16", "z + 76"], ["z", "j + 10", "j + 86"], ["j", 11, "97"]], "target_var_name": "w", "target_value": 97, "value_dict": {"j": 11}, "is_reverse": true}} | 13,005 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = x + 14; m = t + 5; a = m + 1; x = g + 6; z = j + 10; i = z + 16; b = a + 16; d = b + 17; j = 11; v = j + 9; w = q + 20; t = v + 15; g = i + 20. Given that j = 11, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = x + 14 to w, which gives w = x + 34.\n2. Substitute x = g + 6 to w, which gives w = g + 40.\n3. Substitute g = i + 20 to w, which gives w = i + 60.\n4. Substitute i = z + 16 to w, which gives w = z + 76.\n5. Substitute z = j + 10 to w, which gives w = j + 86.\n6. Substitute j = 11 to w, which gives w = 97.\n\nThus, the final answer is w = \\boxed{97}.",
"index": 13005,
"question": "Suppose a collection of variables is related by the following definitions: q = x + 14; m = t + 5; a = m + 1; x = g + 6; z = j + 10; i = z + 16; b = a + 16; d = b + 17; j = 11; v = j + 9; w = q + 20; t = v + 15; g = i + 20. Given that j = 11, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"t": "m + 11", "g": "t + 9", "q": "g + 13", "j": "q + 2", "b": "j + 9", "w": "b + 16", "p": "m + 4", "e": "p + 3", "x": "e + 20", "l": "x + 16", "z": "l + 19", "u": "z + 16", "m": 14}, "premises": {"m": 14}, "target": "w"}, "answer": {"steps": [["b", "j + 9", "j + 25"], ["j", "q + 2", "q + 27"], ["q", "g + 13", "g + 40"], ["g", "t + 9", "t + 49"], ["t", "m + 11", "m + 60"], ["m", 14, "74"]], "target_var_name": "w", "target_value": 74, "value_dict": {"m": 14}, "is_reverse": true}} | 13,006 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = p + 3; w = b + 16; x = e + 20; u = z + 16; p = m + 4; b = j + 9; g = t + 9; t = m + 11; l = x + 16; z = l + 19; j = q + 2; m = 14; q = g + 13. Given that m = 14, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = j + 9 to w, which gives w = j + 25.\n2. Substitute j = q + 2 to w, which gives w = q + 27.\n3. Substitute q = g + 13 to w, which gives w = g + 40.\n4. Substitute g = t + 9 to w, which gives w = t + 49.\n5. Substitute t = m + 11 to w, which gives w = m + 60.\n6. Substitute m = 14 to w, which gives w = 74.\n\nThus, the final answer is w = \\boxed{74}.",
"index": 13006,
"question": "Suppose a collection of variables is related by the following definitions: e = p + 3; w = b + 16; x = e + 20; u = z + 16; p = m + 4; b = j + 9; g = t + 9; t = m + 11; l = x + 16; z = l + 19; j = q + 2; m = 14; q = g + 13. Given that m = 14, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"h": "i + 16", "p": "h + 5", "y": "p + 14", "l": "y + 20", "a": "l + 5", "t": "a + 8", "k": "i + 19", "s": "k + 7", "m": "s + 10", "w": "m + 20", "e": "w + 6", "z": "e + 1", "i": 17}, "premises": {"i": 17}, "target": "t"}, "answer": {"steps": [["a", "l + 5", "l + 13"], ["l", "y + 20", "y + 33"], ["y", "p + 14", "p + 47"], ["p", "h + 5", "h + 52"], ["h", "i + 16", "i + 68"], ["i", 17, "85"]], "target_var_name": "t", "target_value": 85, "value_dict": {"i": 17}, "is_reverse": true}} | 13,007 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = k + 7; w = m + 20; z = e + 1; a = l + 5; p = h + 5; e = w + 6; k = i + 19; l = y + 20; y = p + 14; m = s + 10; t = a + 8; i = 17; h = i + 16. If i = 17, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = l + 5 to t, which gives t = l + 13.\n2. Substitute l = y + 20 to t, which gives t = y + 33.\n3. Substitute y = p + 14 to t, which gives t = p + 47.\n4. Substitute p = h + 5 to t, which gives t = h + 52.\n5. Substitute h = i + 16 to t, which gives t = i + 68.\n6. Substitute i = 17 to t, which gives t = 85.\n\nThus, the final answer is t = \\boxed{85}.",
"index": 13007,
"question": "Consider a system of variables where each variable is defined as follows: s = k + 7; w = m + 20; z = e + 1; a = l + 5; p = h + 5; e = w + 6; k = i + 19; l = y + 20; y = p + 14; m = s + 10; t = a + 8; i = 17; h = i + 16. If i = 17, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"z": "l + 16", "c": "z + 6", "d": "c + 20", "o": "d + 9", "j": "o + 2", "b": "j + 1", "m": "l + 2", "x": "m + 4", "q": "x + 7", "w": "q + 19", "p": "w + 7", "u": "p + 20", "l": 2}, "premises": {"l": 2}, "target": "b"}, "answer": {"steps": [["j", "o + 2", "o + 3"], ["o", "d + 9", "d + 12"], ["d", "c + 20", "c + 32"], ["c", "z + 6", "z + 38"], ["z", "l + 16", "l + 54"], ["l", 2, "56"]], "target_var_name": "b", "target_value": 56, "value_dict": {"l": 2}, "is_reverse": true}} | 13,008 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = x + 7; c = z + 6; z = l + 16; d = c + 20; w = q + 19; l = 2; o = d + 9; j = o + 2; u = p + 20; b = j + 1; x = m + 4; m = l + 2; p = w + 7. If l = 2, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = o + 2 to b, which gives b = o + 3.\n2. Substitute o = d + 9 to b, which gives b = d + 12.\n3. Substitute d = c + 20 to b, which gives b = c + 32.\n4. Substitute c = z + 6 to b, which gives b = z + 38.\n5. Substitute z = l + 16 to b, which gives b = l + 54.\n6. Substitute l = 2 to b, which gives b = 56.\n\nThus, the final answer is b = \\boxed{56}.",
"index": 13008,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = x + 7; c = z + 6; z = l + 16; d = c + 20; w = q + 19; l = 2; o = d + 9; j = o + 2; u = p + 20; b = j + 1; x = m + 4; m = l + 2; p = w + 7. If l = 2, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"f": "w + 12", "q": "f + 13", "b": "q + 3", "y": "b + 7", "o": "y + 7", "j": "o + 1", "a": "w + 5", "x": "a + 16", "p": "x + 4", "c": "p + 18", "e": "c + 16", "z": "e + 20", "w": 15}, "premises": {"w": 15}, "target": "j"}, "answer": {"steps": [["o", "y + 7", "y + 8"], ["y", "b + 7", "b + 15"], ["b", "q + 3", "q + 18"], ["q", "f + 13", "f + 31"], ["f", "w + 12", "w + 43"], ["w", 15, "58"]], "target_var_name": "j", "target_value": 58, "value_dict": {"w": 15}, "is_reverse": true}} | 13,009 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = x + 4; c = p + 18; w = 15; q = f + 13; a = w + 5; f = w + 12; x = a + 16; e = c + 16; j = o + 1; y = b + 7; b = q + 3; o = y + 7; z = e + 20. If w = 15, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = y + 7 to j, which gives j = y + 8.\n2. Substitute y = b + 7 to j, which gives j = b + 15.\n3. Substitute b = q + 3 to j, which gives j = q + 18.\n4. Substitute q = f + 13 to j, which gives j = f + 31.\n5. Substitute f = w + 12 to j, which gives j = w + 43.\n6. Substitute w = 15 to j, which gives j = 58.\n\nThus, the final answer is j = \\boxed{58}.",
"index": 13009,
"question": "Consider a system of variables where each variable is defined as follows: p = x + 4; c = p + 18; w = 15; q = f + 13; a = w + 5; f = w + 12; x = a + 16; e = c + 16; j = o + 1; y = b + 7; b = q + 3; o = y + 7; z = e + 20. If w = 15, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"z": "k + 16", "q": "z + 12", "n": "q + 4", "u": "n + 18", "a": "u + 2", "g": "a + 18", "o": "k + 13", "s": "o + 16", "r": "s + 17", "j": "r + 7", "i": "j + 16", "l": "i + 20", "k": 11}, "premises": {"k": 11}, "target": "g"}, "answer": {"steps": [["a", "u + 2", "u + 20"], ["u", "n + 18", "n + 38"], ["n", "q + 4", "q + 42"], ["q", "z + 12", "z + 54"], ["z", "k + 16", "k + 70"], ["k", 11, "81"]], "target_var_name": "g", "target_value": 81, "value_dict": {"k": 11}, "is_reverse": true}} | 13,010 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = 11; z = k + 16; l = i + 20; s = o + 16; u = n + 18; g = a + 18; j = r + 7; i = j + 16; r = s + 17; q = z + 12; o = k + 13; a = u + 2; n = q + 4. If k = 11, determine the 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 a = u + 2 to g, which gives g = u + 20.\n2. Substitute u = n + 18 to g, which gives g = n + 38.\n3. Substitute n = q + 4 to g, which gives g = q + 42.\n4. Substitute q = z + 12 to g, which gives g = z + 54.\n5. Substitute z = k + 16 to g, which gives g = k + 70.\n6. Substitute k = 11 to g, which gives g = 81.\n\nThus, the final answer is g = \\boxed{81}.",
"index": 13010,
"question": "Consider a system of variables where each variable is defined as follows: k = 11; z = k + 16; l = i + 20; s = o + 16; u = n + 18; g = a + 18; j = r + 7; i = j + 16; r = s + 17; q = z + 12; o = k + 13; a = u + 2; n = q + 4. If k = 11, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"w": "r + 13", "n": "w + 1", "o": "n + 5", "f": "o + 10", "z": "f + 10", "h": "z + 6", "e": "r + 14", "v": "e + 19", "a": "v + 8", "u": "a + 17", "t": "u + 8", "m": "t + 7", "r": 14}, "premises": {"r": 14}, "target": "h"}, "answer": {"steps": [["z", "f + 10", "f + 16"], ["f", "o + 10", "o + 26"], ["o", "n + 5", "n + 31"], ["n", "w + 1", "w + 32"], ["w", "r + 13", "r + 45"], ["r", 14, "59"]], "target_var_name": "h", "target_value": 59, "value_dict": {"r": 14}, "is_reverse": true}} | 13,011 | 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 = 14; a = v + 8; v = e + 19; o = n + 5; z = f + 10; t = u + 8; e = r + 14; n = w + 1; h = z + 6; f = o + 10; w = r + 13; u = a + 17; m = t + 7. If r = 14, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = f + 10 to h, which gives h = f + 16.\n2. Substitute f = o + 10 to h, which gives h = o + 26.\n3. Substitute o = n + 5 to h, which gives h = n + 31.\n4. Substitute n = w + 1 to h, which gives h = w + 32.\n5. Substitute w = r + 13 to h, which gives h = r + 45.\n6. Substitute r = 14 to h, which gives h = 59.\n\nThus, the final answer is h = \\boxed{59}.",
"index": 13011,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = 14; a = v + 8; v = e + 19; o = n + 5; z = f + 10; t = u + 8; e = r + 14; n = w + 1; h = z + 6; f = o + 10; w = r + 13; u = a + 17; m = t + 7. If r = 14, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"c": "b + 16", "f": "c + 3", "w": "f + 10", "l": "w + 15", "r": "l + 1", "u": "r + 14", "z": "b + 12", "o": "z + 5", "t": "o + 5", "y": "t + 6", "k": "y + 11", "q": "k + 3", "b": 9}, "premises": {"b": 9}, "target": "u"}, "answer": {"steps": [["r", "l + 1", "l + 15"], ["l", "w + 15", "w + 30"], ["w", "f + 10", "f + 40"], ["f", "c + 3", "c + 43"], ["c", "b + 16", "b + 59"], ["b", 9, "68"]], "target_var_name": "u", "target_value": 68, "value_dict": {"b": 9}, "is_reverse": true}} | 13,012 | 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 = r + 14; o = z + 5; q = k + 3; f = c + 3; w = f + 10; k = y + 11; z = b + 12; t = o + 5; r = l + 1; l = w + 15; c = b + 16; y = t + 6; b = 9. If b = 9, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = l + 1 to u, which gives u = l + 15.\n2. Substitute l = w + 15 to u, which gives u = w + 30.\n3. Substitute w = f + 10 to u, which gives u = f + 40.\n4. Substitute f = c + 3 to u, which gives u = c + 43.\n5. Substitute c = b + 16 to u, which gives u = b + 59.\n6. Substitute b = 9 to u, which gives u = 68.\n\nThus, the final answer is u = \\boxed{68}.",
"index": 13012,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = r + 14; o = z + 5; q = k + 3; f = c + 3; w = f + 10; k = y + 11; z = b + 12; t = o + 5; r = l + 1; l = w + 15; c = b + 16; y = t + 6; b = 9. If b = 9, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"i": "r + 13", "h": "i + 19", "y": "h + 12", "k": "y + 15", "q": "k + 2", "z": "q + 4", "g": "r + 15", "d": "g + 6", "c": "d + 13", "t": "c + 15", "v": "t + 16", "b": "v + 16", "r": 11}, "premises": {"r": 11}, "target": "z"}, "answer": {"steps": [["q", "k + 2", "k + 6"], ["k", "y + 15", "y + 21"], ["y", "h + 12", "h + 33"], ["h", "i + 19", "i + 52"], ["i", "r + 13", "r + 65"], ["r", 11, "76"]], "target_var_name": "z", "target_value": 76, "value_dict": {"r": 11}, "is_reverse": true}} | 13,013 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = t + 16; z = q + 4; i = r + 13; h = i + 19; c = d + 13; y = h + 12; q = k + 2; d = g + 6; t = c + 15; g = r + 15; b = v + 16; k = y + 15; r = 11. Given that r = 11, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = k + 2 to z, which gives z = k + 6.\n2. Substitute k = y + 15 to z, which gives z = y + 21.\n3. Substitute y = h + 12 to z, which gives z = h + 33.\n4. Substitute h = i + 19 to z, which gives z = i + 52.\n5. Substitute i = r + 13 to z, which gives z = r + 65.\n6. Substitute r = 11 to z, which gives z = 76.\n\nThus, the final answer is z = \\boxed{76}.",
"index": 13013,
"question": "Suppose a collection of variables is related by the following definitions: v = t + 16; z = q + 4; i = r + 13; h = i + 19; c = d + 13; y = h + 12; q = k + 2; d = g + 6; t = c + 15; g = r + 15; b = v + 16; k = y + 15; r = 11. Given that r = 11, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"a": "g + 16", "k": "a + 8", "j": "k + 10", "d": "j + 9", "w": "d + 12", "x": "w + 6", "f": "g + 20", "c": "f + 8", "q": "c + 15", "u": "q + 4", "s": "u + 19", "i": "s + 13", "g": 16}, "premises": {"g": 16}, "target": "x"}, "answer": {"steps": [["w", "d + 12", "d + 18"], ["d", "j + 9", "j + 27"], ["j", "k + 10", "k + 37"], ["k", "a + 8", "a + 45"], ["a", "g + 16", "g + 61"], ["g", 16, "77"]], "target_var_name": "x", "target_value": 77, "value_dict": {"g": 16}, "is_reverse": true}} | 13,014 | 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 = g + 16; d = j + 9; i = s + 13; f = g + 20; g = 16; c = f + 8; u = q + 4; j = k + 10; q = c + 15; s = u + 19; k = a + 8; x = w + 6; w = d + 12. If g = 16, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = d + 12 to x, which gives x = d + 18.\n2. Substitute d = j + 9 to x, which gives x = j + 27.\n3. Substitute j = k + 10 to x, which gives x = k + 37.\n4. Substitute k = a + 8 to x, which gives x = a + 45.\n5. Substitute a = g + 16 to x, which gives x = g + 61.\n6. Substitute g = 16 to x, which gives x = 77.\n\nThus, the final answer is x = \\boxed{77}.",
"index": 13014,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = g + 16; d = j + 9; i = s + 13; f = g + 20; g = 16; c = f + 8; u = q + 4; j = k + 10; q = c + 15; s = u + 19; k = a + 8; x = w + 6; w = d + 12. If g = 16, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"d": "c + 20", "p": "d + 9", "h": "p + 14", "r": "h + 20", "k": "r + 2", "m": "k + 6", "x": "c + 14", "a": "x + 11", "z": "a + 7", "n": "z + 7", "u": "n + 18", "o": "u + 2", "c": 5}, "premises": {"c": 5}, "target": "m"}, "answer": {"steps": [["k", "r + 2", "r + 8"], ["r", "h + 20", "h + 28"], ["h", "p + 14", "p + 42"], ["p", "d + 9", "d + 51"], ["d", "c + 20", "c + 71"], ["c", 5, "76"]], "target_var_name": "m", "target_value": 76, "value_dict": {"c": 5}, "is_reverse": true}} | 13,015 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = r + 2; d = c + 20; r = h + 20; z = a + 7; m = k + 6; n = z + 7; a = x + 11; h = p + 14; u = n + 18; c = 5; p = d + 9; x = c + 14; o = u + 2. Given that c = 5, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = r + 2 to m, which gives m = r + 8.\n2. Substitute r = h + 20 to m, which gives m = h + 28.\n3. Substitute h = p + 14 to m, which gives m = p + 42.\n4. Substitute p = d + 9 to m, which gives m = d + 51.\n5. Substitute d = c + 20 to m, which gives m = c + 71.\n6. Substitute c = 5 to m, which gives m = 76.\n\nThus, the final answer is m = \\boxed{76}.",
"index": 13015,
"question": "Suppose a collection of variables is related by the following definitions: k = r + 2; d = c + 20; r = h + 20; z = a + 7; m = k + 6; n = z + 7; a = x + 11; h = p + 14; u = n + 18; c = 5; p = d + 9; x = c + 14; o = u + 2. Given that c = 5, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"w": "h + 1", "g": "w + 14", "e": "g + 15", "z": "e + 1", "d": "z + 7", "r": "d + 14", "y": "h + 14", "p": "y + 12", "u": "p + 7", "s": "u + 19", "f": "s + 17", "n": "f + 2", "h": 19}, "premises": {"h": 19}, "target": "r"}, "answer": {"steps": [["d", "z + 7", "z + 21"], ["z", "e + 1", "e + 22"], ["e", "g + 15", "g + 37"], ["g", "w + 14", "w + 51"], ["w", "h + 1", "h + 52"], ["h", 19, "71"]], "target_var_name": "r", "target_value": 71, "value_dict": {"h": 19}, "is_reverse": true}} | 13,016 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = h + 1; z = e + 1; f = s + 17; g = w + 14; e = g + 15; h = 19; r = d + 14; u = p + 7; y = h + 14; n = f + 2; p = y + 12; d = z + 7; s = u + 19. If h = 19, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = z + 7 to r, which gives r = z + 21.\n2. Substitute z = e + 1 to r, which gives r = e + 22.\n3. Substitute e = g + 15 to r, which gives r = g + 37.\n4. Substitute g = w + 14 to r, which gives r = w + 51.\n5. Substitute w = h + 1 to r, which gives r = h + 52.\n6. Substitute h = 19 to r, which gives r = 71.\n\nThus, the final answer is r = \\boxed{71}.",
"index": 13016,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = h + 1; z = e + 1; f = s + 17; g = w + 14; e = g + 15; h = 19; r = d + 14; u = p + 7; y = h + 14; n = f + 2; p = y + 12; d = z + 7; s = u + 19. If h = 19, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"i": "u + 16", "a": "i + 13", "v": "a + 18", "x": "v + 9", "k": "x + 5", "t": "k + 17", "f": "u + 16", "z": "f + 5", "y": "z + 9", "w": "y + 18", "l": "w + 1", "r": "l + 9", "u": 19}, "premises": {"u": 19}, "target": "t"}, "answer": {"steps": [["k", "x + 5", "x + 22"], ["x", "v + 9", "v + 31"], ["v", "a + 18", "a + 49"], ["a", "i + 13", "i + 62"], ["i", "u + 16", "u + 78"], ["u", 19, "97"]], "target_var_name": "t", "target_value": 97, "value_dict": {"u": 19}, "is_reverse": true}} | 13,017 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = u + 16; r = l + 9; v = a + 18; y = z + 9; z = f + 5; a = i + 13; l = w + 1; u = 19; w = y + 18; k = x + 5; x = v + 9; t = k + 17; i = u + 16. If u = 19, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = x + 5 to t, which gives t = x + 22.\n2. Substitute x = v + 9 to t, which gives t = v + 31.\n3. Substitute v = a + 18 to t, which gives t = a + 49.\n4. Substitute a = i + 13 to t, which gives t = i + 62.\n5. Substitute i = u + 16 to t, which gives t = u + 78.\n6. Substitute u = 19 to t, which gives t = 97.\n\nThus, the final answer is t = \\boxed{97}.",
"index": 13017,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = u + 16; r = l + 9; v = a + 18; y = z + 9; z = f + 5; a = i + 13; l = w + 1; u = 19; w = y + 18; k = x + 5; x = v + 9; t = k + 17; i = u + 16. If u = 19, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"j": "v + 19", "k": "j + 14", "a": "k + 8", "x": "a + 16", "n": "x + 19", "h": "n + 17", "s": "v + 1", "t": "s + 16", "c": "t + 20", "q": "c + 15", "u": "q + 13", "e": "u + 3", "v": 9}, "premises": {"v": 9}, "target": "h"}, "answer": {"steps": [["n", "x + 19", "x + 36"], ["x", "a + 16", "a + 52"], ["a", "k + 8", "k + 60"], ["k", "j + 14", "j + 74"], ["j", "v + 19", "v + 93"], ["v", 9, "102"]], "target_var_name": "h", "target_value": 102, "value_dict": {"v": 9}, "is_reverse": true}} | 13,018 | 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 = n + 17; u = q + 13; q = c + 15; e = u + 3; j = v + 19; v = 9; c = t + 20; n = x + 19; s = v + 1; t = s + 16; x = a + 16; k = j + 14; a = k + 8. If v = 9, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 102,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = x + 19 to h, which gives h = x + 36.\n2. Substitute x = a + 16 to h, which gives h = a + 52.\n3. Substitute a = k + 8 to h, which gives h = k + 60.\n4. Substitute k = j + 14 to h, which gives h = j + 74.\n5. Substitute j = v + 19 to h, which gives h = v + 93.\n6. Substitute v = 9 to h, which gives h = 102.\n\nThus, the final answer is h = \\boxed{102}.",
"index": 13018,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = n + 17; u = q + 13; q = c + 15; e = u + 3; j = v + 19; v = 9; c = t + 20; n = x + 19; s = v + 1; t = s + 16; x = a + 16; k = j + 14; a = k + 8. If v = 9, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"n": "f + 13", "p": "n + 2", "a": "p + 16", "d": "a + 14", "x": "d + 17", "l": "x + 12", "r": "f + 16", "u": "r + 10", "b": "u + 13", "q": "b + 15", "g": "q + 11", "s": "g + 11", "f": 13}, "premises": {"f": 13}, "target": "l"}, "answer": {"steps": [["x", "d + 17", "d + 29"], ["d", "a + 14", "a + 43"], ["a", "p + 16", "p + 59"], ["p", "n + 2", "n + 61"], ["n", "f + 13", "f + 74"], ["f", 13, "87"]], "target_var_name": "l", "target_value": 87, "value_dict": {"f": 13}, "is_reverse": true}} | 13,019 | 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 = x + 12; a = p + 16; q = b + 15; b = u + 13; p = n + 2; s = g + 11; u = r + 10; x = d + 17; n = f + 13; g = q + 11; r = f + 16; d = a + 14; f = 13. If f = 13, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = d + 17 to l, which gives l = d + 29.\n2. Substitute d = a + 14 to l, which gives l = a + 43.\n3. Substitute a = p + 16 to l, which gives l = p + 59.\n4. Substitute p = n + 2 to l, which gives l = n + 61.\n5. Substitute n = f + 13 to l, which gives l = f + 74.\n6. Substitute f = 13 to l, which gives l = 87.\n\nThus, the final answer is l = \\boxed{87}.",
"index": 13019,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = x + 12; a = p + 16; q = b + 15; b = u + 13; p = n + 2; s = g + 11; u = r + 10; x = d + 17; n = f + 13; g = q + 11; r = f + 16; d = a + 14; f = 13. If f = 13, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"c": "a + 10", "l": "c + 2", "h": "l + 8", "w": "h + 8", "k": "w + 7", "f": "k + 9", "e": "a + 13", "j": "e + 1", "b": "j + 18", "m": "b + 16", "t": "m + 14", "o": "t + 3", "a": 6}, "premises": {"a": 6}, "target": "f"}, "answer": {"steps": [["k", "w + 7", "w + 16"], ["w", "h + 8", "h + 24"], ["h", "l + 8", "l + 32"], ["l", "c + 2", "c + 34"], ["c", "a + 10", "a + 44"], ["a", 6, "50"]], "target_var_name": "f", "target_value": 50, "value_dict": {"a": 6}, "is_reverse": true}} | 13,020 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = b + 16; j = e + 1; a = 6; f = k + 9; c = a + 10; t = m + 14; b = j + 18; k = w + 7; w = h + 8; l = c + 2; h = l + 8; o = t + 3; e = a + 13. If a = 6, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = w + 7 to f, which gives f = w + 16.\n2. Substitute w = h + 8 to f, which gives f = h + 24.\n3. Substitute h = l + 8 to f, which gives f = l + 32.\n4. Substitute l = c + 2 to f, which gives f = c + 34.\n5. Substitute c = a + 10 to f, which gives f = a + 44.\n6. Substitute a = 6 to f, which gives f = 50.\n\nThus, the final answer is f = \\boxed{50}.",
"index": 13020,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = b + 16; j = e + 1; a = 6; f = k + 9; c = a + 10; t = m + 14; b = j + 18; k = w + 7; w = h + 8; l = c + 2; h = l + 8; o = t + 3; e = a + 13. If a = 6, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"w": "m + 19", "q": "w + 3", "a": "q + 11", "z": "a + 19", "e": "z + 8", "j": "e + 15", "g": "m + 5", "l": "g + 5", "t": "l + 13", "u": "t + 3", "c": "u + 11", "h": "c + 13", "m": 18}, "premises": {"m": 18}, "target": "j"}, "answer": {"steps": [["e", "z + 8", "z + 23"], ["z", "a + 19", "a + 42"], ["a", "q + 11", "q + 53"], ["q", "w + 3", "w + 56"], ["w", "m + 19", "m + 75"], ["m", 18, "93"]], "target_var_name": "j", "target_value": 93, "value_dict": {"m": 18}, "is_reverse": true}} | 13,021 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = l + 13; m = 18; z = a + 19; e = z + 8; u = t + 3; w = m + 19; c = u + 11; h = c + 13; l = g + 5; a = q + 11; g = m + 5; q = w + 3; j = e + 15. If m = 18, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = z + 8 to j, which gives j = z + 23.\n2. Substitute z = a + 19 to j, which gives j = a + 42.\n3. Substitute a = q + 11 to j, which gives j = q + 53.\n4. Substitute q = w + 3 to j, which gives j = w + 56.\n5. Substitute w = m + 19 to j, which gives j = m + 75.\n6. Substitute m = 18 to j, which gives j = 93.\n\nThus, the final answer is j = \\boxed{93}.",
"index": 13021,
"question": "Consider a system of variables where each variable is defined as follows: t = l + 13; m = 18; z = a + 19; e = z + 8; u = t + 3; w = m + 19; c = u + 11; h = c + 13; l = g + 5; a = q + 11; g = m + 5; q = w + 3; j = e + 15. If m = 18, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"l": "h + 15", "c": "l + 16", "i": "c + 14", "n": "i + 8", "m": "n + 16", "t": "m + 3", "f": "h + 12", "b": "f + 15", "r": "b + 3", "k": "r + 3", "o": "k + 10", "v": "o + 7", "h": 5}, "premises": {"h": 5}, "target": "t"}, "answer": {"steps": [["m", "n + 16", "n + 19"], ["n", "i + 8", "i + 27"], ["i", "c + 14", "c + 41"], ["c", "l + 16", "l + 57"], ["l", "h + 15", "h + 72"], ["h", 5, "77"]], "target_var_name": "t", "target_value": 77, "value_dict": {"h": 5}, "is_reverse": true}} | 13,022 | 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 = c + 14; m = n + 16; l = h + 15; c = l + 16; o = k + 10; h = 5; t = m + 3; r = b + 3; v = o + 7; n = i + 8; f = h + 12; b = f + 15; k = r + 3. If h = 5, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = n + 16 to t, which gives t = n + 19.\n2. Substitute n = i + 8 to t, which gives t = i + 27.\n3. Substitute i = c + 14 to t, which gives t = c + 41.\n4. Substitute c = l + 16 to t, which gives t = l + 57.\n5. Substitute l = h + 15 to t, which gives t = h + 72.\n6. Substitute h = 5 to t, which gives t = 77.\n\nThus, the final answer is t = \\boxed{77}.",
"index": 13022,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = c + 14; m = n + 16; l = h + 15; c = l + 16; o = k + 10; h = 5; t = m + 3; r = b + 3; v = o + 7; n = i + 8; f = h + 12; b = f + 15; k = r + 3. If h = 5, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"g": "w + 7", "o": "g + 1", "t": "o + 18", "c": "t + 9", "r": "c + 12", "j": "r + 13", "i": "w + 16", "s": "i + 14", "k": "s + 1", "a": "k + 3", "f": "a + 8", "m": "f + 17", "w": 7}, "premises": {"w": 7}, "target": "j"}, "answer": {"steps": [["r", "c + 12", "c + 25"], ["c", "t + 9", "t + 34"], ["t", "o + 18", "o + 52"], ["o", "g + 1", "g + 53"], ["g", "w + 7", "w + 60"], ["w", 7, "67"]], "target_var_name": "j", "target_value": 67, "value_dict": {"w": 7}, "is_reverse": true}} | 13,023 | 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 + 8; r = c + 12; j = r + 13; w = 7; t = o + 18; m = f + 17; k = s + 1; c = t + 9; i = w + 16; s = i + 14; o = g + 1; g = w + 7; a = k + 3. If w = 7, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = c + 12 to j, which gives j = c + 25.\n2. Substitute c = t + 9 to j, which gives j = t + 34.\n3. Substitute t = o + 18 to j, which gives j = o + 52.\n4. Substitute o = g + 1 to j, which gives j = g + 53.\n5. Substitute g = w + 7 to j, which gives j = w + 60.\n6. Substitute w = 7 to j, which gives j = 67.\n\nThus, the final answer is j = \\boxed{67}.",
"index": 13023,
"question": "Consider a system of variables where each variable is defined as follows: f = a + 8; r = c + 12; j = r + 13; w = 7; t = o + 18; m = f + 17; k = s + 1; c = t + 9; i = w + 16; s = i + 14; o = g + 1; g = w + 7; a = k + 3. If w = 7, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"f": "e + 17", "s": "f + 5", "u": "s + 11", "h": "u + 9", "d": "h + 14", "i": "d + 14", "b": "e + 8", "y": "b + 8", "v": "y + 3", "k": "v + 13", "c": "k + 14", "m": "c + 17", "e": 11}, "premises": {"e": 11}, "target": "i"}, "answer": {"steps": [["d", "h + 14", "h + 28"], ["h", "u + 9", "u + 37"], ["u", "s + 11", "s + 48"], ["s", "f + 5", "f + 53"], ["f", "e + 17", "e + 70"], ["e", 11, "81"]], "target_var_name": "i", "target_value": 81, "value_dict": {"e": 11}, "is_reverse": true}} | 13,024 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = h + 14; b = e + 8; y = b + 8; k = v + 13; u = s + 11; v = y + 3; f = e + 17; c = k + 14; i = d + 14; e = 11; h = u + 9; s = f + 5; m = c + 17. If e = 11, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = h + 14 to i, which gives i = h + 28.\n2. Substitute h = u + 9 to i, which gives i = u + 37.\n3. Substitute u = s + 11 to i, which gives i = s + 48.\n4. Substitute s = f + 5 to i, which gives i = f + 53.\n5. Substitute f = e + 17 to i, which gives i = e + 70.\n6. Substitute e = 11 to i, which gives i = 81.\n\nThus, the final answer is i = \\boxed{81}.",
"index": 13024,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = h + 14; b = e + 8; y = b + 8; k = v + 13; u = s + 11; v = y + 3; f = e + 17; c = k + 14; i = d + 14; e = 11; h = u + 9; s = f + 5; m = c + 17. If e = 11, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"r": "d + 2", "m": "r + 20", "c": "m + 17", "p": "c + 11", "y": "p + 13", "v": "y + 13", "w": "d + 14", "s": "w + 1", "e": "s + 4", "o": "e + 7", "a": "o + 5", "q": "a + 8", "d": 1}, "premises": {"d": 1}, "target": "v"}, "answer": {"steps": [["y", "p + 13", "p + 26"], ["p", "c + 11", "c + 37"], ["c", "m + 17", "m + 54"], ["m", "r + 20", "r + 74"], ["r", "d + 2", "d + 76"], ["d", 1, "77"]], "target_var_name": "v", "target_value": 77, "value_dict": {"d": 1}, "is_reverse": true}} | 13,025 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = m + 17; q = a + 8; o = e + 7; s = w + 1; a = o + 5; v = y + 13; e = s + 4; r = d + 2; p = c + 11; m = r + 20; d = 1; w = d + 14; y = p + 13. If d = 1, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = p + 13 to v, which gives v = p + 26.\n2. Substitute p = c + 11 to v, which gives v = c + 37.\n3. Substitute c = m + 17 to v, which gives v = m + 54.\n4. Substitute m = r + 20 to v, which gives v = r + 74.\n5. Substitute r = d + 2 to v, which gives v = d + 76.\n6. Substitute d = 1 to v, which gives v = 77.\n\nThus, the final answer is v = \\boxed{77}.",
"index": 13025,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = m + 17; q = a + 8; o = e + 7; s = w + 1; a = o + 5; v = y + 13; e = s + 4; r = d + 2; p = c + 11; m = r + 20; d = 1; w = d + 14; y = p + 13. If d = 1, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"f": "h + 15", "c": "f + 18", "t": "c + 12", "w": "t + 11", "k": "w + 6", "n": "k + 9", "g": "h + 18", "r": "g + 12", "p": "r + 12", "x": "p + 10", "y": "x + 17", "u": "y + 16", "h": 2}, "premises": {"h": 2}, "target": "n"}, "answer": {"steps": [["k", "w + 6", "w + 15"], ["w", "t + 11", "t + 26"], ["t", "c + 12", "c + 38"], ["c", "f + 18", "f + 56"], ["f", "h + 15", "h + 71"], ["h", 2, "73"]], "target_var_name": "n", "target_value": 73, "value_dict": {"h": 2}, "is_reverse": true}} | 13,026 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = y + 16; f = h + 15; p = r + 12; h = 2; t = c + 12; k = w + 6; n = k + 9; w = t + 11; r = g + 12; x = p + 10; g = h + 18; c = f + 18; y = x + 17. Given that h = 2, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = w + 6 to n, which gives n = w + 15.\n2. Substitute w = t + 11 to n, which gives n = t + 26.\n3. Substitute t = c + 12 to n, which gives n = c + 38.\n4. Substitute c = f + 18 to n, which gives n = f + 56.\n5. Substitute f = h + 15 to n, which gives n = h + 71.\n6. Substitute h = 2 to n, which gives n = 73.\n\nThus, the final answer is n = \\boxed{73}.",
"index": 13026,
"question": "Suppose a collection of variables is related by the following definitions: u = y + 16; f = h + 15; p = r + 12; h = 2; t = c + 12; k = w + 6; n = k + 9; w = t + 11; r = g + 12; x = p + 10; g = h + 18; c = f + 18; y = x + 17. Given that h = 2, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"c": "m + 8", "q": "c + 6", "g": "q + 6", "s": "g + 11", "a": "s + 17", "i": "a + 9", "l": "m + 18", "z": "l + 10", "j": "z + 3", "p": "j + 3", "n": "p + 15", "t": "n + 11", "m": 14}, "premises": {"m": 14}, "target": "i"}, "answer": {"steps": [["a", "s + 17", "s + 26"], ["s", "g + 11", "g + 37"], ["g", "q + 6", "q + 43"], ["q", "c + 6", "c + 49"], ["c", "m + 8", "m + 57"], ["m", 14, "71"]], "target_var_name": "i", "target_value": 71, "value_dict": {"m": 14}, "is_reverse": true}} | 13,027 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = c + 6; a = s + 17; p = j + 3; m = 14; c = m + 8; i = a + 9; s = g + 11; t = n + 11; l = m + 18; z = l + 10; j = z + 3; n = p + 15; g = q + 6. Given that m = 14, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = s + 17 to i, which gives i = s + 26.\n2. Substitute s = g + 11 to i, which gives i = g + 37.\n3. Substitute g = q + 6 to i, which gives i = q + 43.\n4. Substitute q = c + 6 to i, which gives i = c + 49.\n5. Substitute c = m + 8 to i, which gives i = m + 57.\n6. Substitute m = 14 to i, which gives i = 71.\n\nThus, the final answer is i = \\boxed{71}.",
"index": 13027,
"question": "Suppose a collection of variables is related by the following definitions: q = c + 6; a = s + 17; p = j + 3; m = 14; c = m + 8; i = a + 9; s = g + 11; t = n + 11; l = m + 18; z = l + 10; j = z + 3; n = p + 15; g = q + 6. Given that m = 14, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"q": "n + 11", "m": "q + 12", "z": "m + 15", "i": "z + 4", "h": "i + 11", "g": "h + 12", "r": "n + 12", "y": "r + 3", "e": "y + 10", "t": "e + 18", "k": "t + 12", "p": "k + 7", "n": 15}, "premises": {"n": 15}, "target": "g"}, "answer": {"steps": [["h", "i + 11", "i + 23"], ["i", "z + 4", "z + 27"], ["z", "m + 15", "m + 42"], ["m", "q + 12", "q + 54"], ["q", "n + 11", "n + 65"], ["n", 15, "80"]], "target_var_name": "g", "target_value": 80, "value_dict": {"n": 15}, "is_reverse": true}} | 13,028 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = e + 18; p = k + 7; k = t + 12; m = q + 12; q = n + 11; n = 15; i = z + 4; r = n + 12; h = i + 11; e = y + 10; g = h + 12; y = r + 3; z = m + 15. If n = 15, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = i + 11 to g, which gives g = i + 23.\n2. Substitute i = z + 4 to g, which gives g = z + 27.\n3. Substitute z = m + 15 to g, which gives g = m + 42.\n4. Substitute m = q + 12 to g, which gives g = q + 54.\n5. Substitute q = n + 11 to g, which gives g = n + 65.\n6. Substitute n = 15 to g, which gives g = 80.\n\nThus, the final answer is g = \\boxed{80}.",
"index": 13028,
"question": "Consider a system of variables where each variable is defined as follows: t = e + 18; p = k + 7; k = t + 12; m = q + 12; q = n + 11; n = 15; i = z + 4; r = n + 12; h = i + 11; e = y + 10; g = h + 12; y = r + 3; z = m + 15. If n = 15, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"f": "u + 15", "k": "f + 12", "w": "k + 15", "j": "w + 9", "x": "j + 12", "b": "x + 11", "v": "u + 19", "a": "v + 5", "r": "a + 16", "l": "r + 15", "d": "l + 12", "n": "d + 1", "u": 13}, "premises": {"u": 13}, "target": "b"}, "answer": {"steps": [["x", "j + 12", "j + 23"], ["j", "w + 9", "w + 32"], ["w", "k + 15", "k + 47"], ["k", "f + 12", "f + 59"], ["f", "u + 15", "u + 74"], ["u", 13, "87"]], "target_var_name": "b", "target_value": 87, "value_dict": {"u": 13}, "is_reverse": true}} | 13,029 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = k + 15; a = v + 5; l = r + 15; r = a + 16; u = 13; n = d + 1; x = j + 12; k = f + 12; b = x + 11; v = u + 19; f = u + 15; d = l + 12; j = w + 9. Given that u = 13, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = j + 12 to b, which gives b = j + 23.\n2. Substitute j = w + 9 to b, which gives b = w + 32.\n3. Substitute w = k + 15 to b, which gives b = k + 47.\n4. Substitute k = f + 12 to b, which gives b = f + 59.\n5. Substitute f = u + 15 to b, which gives b = u + 74.\n6. Substitute u = 13 to b, which gives b = 87.\n\nThus, the final answer is b = \\boxed{87}.",
"index": 13029,
"question": "Suppose a collection of variables is related by the following definitions: w = k + 15; a = v + 5; l = r + 15; r = a + 16; u = 13; n = d + 1; x = j + 12; k = f + 12; b = x + 11; v = u + 19; f = u + 15; d = l + 12; j = w + 9. Given that u = 13, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"s": "y + 7", "i": "s + 12", "c": "i + 10", "g": "c + 3", "a": "g + 7", "z": "a + 10", "q": "y + 7", "d": "q + 7", "r": "d + 12", "o": "r + 4", "f": "o + 3", "w": "f + 15", "y": 11}, "premises": {"y": 11}, "target": "z"}, "answer": {"steps": [["a", "g + 7", "g + 17"], ["g", "c + 3", "c + 20"], ["c", "i + 10", "i + 30"], ["i", "s + 12", "s + 42"], ["s", "y + 7", "y + 49"], ["y", 11, "60"]], "target_var_name": "z", "target_value": 60, "value_dict": {"y": 11}, "is_reverse": true}} | 13,030 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = y + 7; i = s + 12; g = c + 3; q = y + 7; c = i + 10; f = o + 3; r = d + 12; z = a + 10; y = 11; o = r + 4; d = q + 7; a = g + 7; w = f + 15. If y = 11, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = g + 7 to z, which gives z = g + 17.\n2. Substitute g = c + 3 to z, which gives z = c + 20.\n3. Substitute c = i + 10 to z, which gives z = i + 30.\n4. Substitute i = s + 12 to z, which gives z = s + 42.\n5. Substitute s = y + 7 to z, which gives z = y + 49.\n6. Substitute y = 11 to z, which gives z = 60.\n\nThus, the final answer is z = \\boxed{60}.",
"index": 13030,
"question": "Consider a system of variables where each variable is defined as follows: s = y + 7; i = s + 12; g = c + 3; q = y + 7; c = i + 10; f = o + 3; r = d + 12; z = a + 10; y = 11; o = r + 4; d = q + 7; a = g + 7; w = f + 15. If y = 11, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"m": "s + 19", "k": "m + 9", "y": "k + 8", "g": "y + 5", "a": "g + 18", "i": "a + 16", "d": "s + 6", "q": "d + 5", "z": "q + 2", "t": "z + 9", "u": "t + 16", "j": "u + 19", "s": 16}, "premises": {"s": 16}, "target": "i"}, "answer": {"steps": [["a", "g + 18", "g + 34"], ["g", "y + 5", "y + 39"], ["y", "k + 8", "k + 47"], ["k", "m + 9", "m + 56"], ["m", "s + 19", "s + 75"], ["s", 16, "91"]], "target_var_name": "i", "target_value": 91, "value_dict": {"s": 16}, "is_reverse": true}} | 13,031 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = q + 2; y = k + 8; t = z + 9; s = 16; m = s + 19; i = a + 16; a = g + 18; u = t + 16; j = u + 19; q = d + 5; g = y + 5; k = m + 9; d = s + 6. If s = 16, what is the resulting 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 a = g + 18 to i, which gives i = g + 34.\n2. Substitute g = y + 5 to i, which gives i = y + 39.\n3. Substitute y = k + 8 to i, which gives i = k + 47.\n4. Substitute k = m + 9 to i, which gives i = m + 56.\n5. Substitute m = s + 19 to i, which gives i = s + 75.\n6. Substitute s = 16 to i, which gives i = 91.\n\nThus, the final answer is i = \\boxed{91}.",
"index": 13031,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = q + 2; y = k + 8; t = z + 9; s = 16; m = s + 19; i = a + 16; a = g + 18; u = t + 16; j = u + 19; q = d + 5; g = y + 5; k = m + 9; d = s + 6. If s = 16, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"v": "t + 13", "c": "v + 20", "z": "c + 8", "l": "z + 16", "f": "l + 8", "m": "f + 9", "a": "t + 8", "u": "a + 16", "s": "u + 20", "o": "s + 2", "r": "o + 12", "n": "r + 2", "t": 5}, "premises": {"t": 5}, "target": "m"}, "answer": {"steps": [["f", "l + 8", "l + 17"], ["l", "z + 16", "z + 33"], ["z", "c + 8", "c + 41"], ["c", "v + 20", "v + 61"], ["v", "t + 13", "t + 74"], ["t", 5, "79"]], "target_var_name": "m", "target_value": 79, "value_dict": {"t": 5}, "is_reverse": true}} | 13,032 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = s + 2; r = o + 12; t = 5; a = t + 8; v = t + 13; u = a + 16; f = l + 8; m = f + 9; l = z + 16; z = c + 8; s = u + 20; c = v + 20; n = r + 2. If t = 5, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = l + 8 to m, which gives m = l + 17.\n2. Substitute l = z + 16 to m, which gives m = z + 33.\n3. Substitute z = c + 8 to m, which gives m = c + 41.\n4. Substitute c = v + 20 to m, which gives m = v + 61.\n5. Substitute v = t + 13 to m, which gives m = t + 74.\n6. Substitute t = 5 to m, which gives m = 79.\n\nThus, the final answer is m = \\boxed{79}.",
"index": 13032,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = s + 2; r = o + 12; t = 5; a = t + 8; v = t + 13; u = a + 16; f = l + 8; m = f + 9; l = z + 16; z = c + 8; s = u + 20; c = v + 20; n = r + 2. If t = 5, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"g": "m + 18", "i": "g + 18", "h": "i + 8", "j": "h + 10", "a": "j + 3", "z": "a + 8", "v": "m + 4", "b": "v + 9", "x": "b + 12", "l": "x + 4", "p": "l + 2", "d": "p + 7", "m": 9}, "premises": {"m": 9}, "target": "z"}, "answer": {"steps": [["a", "j + 3", "j + 11"], ["j", "h + 10", "h + 21"], ["h", "i + 8", "i + 29"], ["i", "g + 18", "g + 47"], ["g", "m + 18", "m + 65"], ["m", 9, "74"]], "target_var_name": "z", "target_value": 74, "value_dict": {"m": 9}, "is_reverse": true}} | 13,033 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = b + 12; a = j + 3; p = l + 2; h = i + 8; v = m + 4; i = g + 18; z = a + 8; g = m + 18; d = p + 7; l = x + 4; m = 9; j = h + 10; b = v + 9. If m = 9, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = j + 3 to z, which gives z = j + 11.\n2. Substitute j = h + 10 to z, which gives z = h + 21.\n3. Substitute h = i + 8 to z, which gives z = i + 29.\n4. Substitute i = g + 18 to z, which gives z = g + 47.\n5. Substitute g = m + 18 to z, which gives z = m + 65.\n6. Substitute m = 9 to z, which gives z = 74.\n\nThus, the final answer is z = \\boxed{74}.",
"index": 13033,
"question": "Consider a system of variables where each variable is defined as follows: x = b + 12; a = j + 3; p = l + 2; h = i + 8; v = m + 4; i = g + 18; z = a + 8; g = m + 18; d = p + 7; l = x + 4; m = 9; j = h + 10; b = v + 9. If m = 9, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"l": "c + 4", "z": "l + 16", "o": "z + 15", "d": "o + 16", "u": "d + 17", "x": "u + 2", "h": "c + 5", "i": "h + 3", "t": "i + 1", "w": "t + 18", "g": "w + 9", "a": "g + 13", "c": 12}, "premises": {"c": 12}, "target": "x"}, "answer": {"steps": [["u", "d + 17", "d + 19"], ["d", "o + 16", "o + 35"], ["o", "z + 15", "z + 50"], ["z", "l + 16", "l + 66"], ["l", "c + 4", "c + 70"], ["c", 12, "82"]], "target_var_name": "x", "target_value": 82, "value_dict": {"c": 12}, "is_reverse": true}} | 13,034 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = g + 13; w = t + 18; x = u + 2; l = c + 4; h = c + 5; d = o + 16; u = d + 17; c = 12; g = w + 9; o = z + 15; t = i + 1; z = l + 16; i = h + 3. Given that c = 12, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = d + 17 to x, which gives x = d + 19.\n2. Substitute d = o + 16 to x, which gives x = o + 35.\n3. Substitute o = z + 15 to x, which gives x = z + 50.\n4. Substitute z = l + 16 to x, which gives x = l + 66.\n5. Substitute l = c + 4 to x, which gives x = c + 70.\n6. Substitute c = 12 to x, which gives x = 82.\n\nThus, the final answer is x = \\boxed{82}.",
"index": 13034,
"question": "Suppose a collection of variables is related by the following definitions: a = g + 13; w = t + 18; x = u + 2; l = c + 4; h = c + 5; d = o + 16; u = d + 17; c = 12; g = w + 9; o = z + 15; t = i + 1; z = l + 16; i = h + 3. Given that c = 12, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"j": "q + 16", "r": "j + 2", "g": "r + 4", "b": "g + 9", "i": "b + 14", "h": "i + 11", "s": "q + 8", "e": "s + 15", "c": "e + 14", "k": "c + 8", "o": "k + 16", "x": "o + 6", "q": 1}, "premises": {"q": 1}, "target": "h"}, "answer": {"steps": [["i", "b + 14", "b + 25"], ["b", "g + 9", "g + 34"], ["g", "r + 4", "r + 38"], ["r", "j + 2", "j + 40"], ["j", "q + 16", "q + 56"], ["q", 1, "57"]], "target_var_name": "h", "target_value": 57, "value_dict": {"q": 1}, "is_reverse": true}} | 13,035 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = k + 16; h = i + 11; s = q + 8; r = j + 2; j = q + 16; k = c + 8; g = r + 4; i = b + 14; e = s + 15; q = 1; c = e + 14; x = o + 6; b = g + 9. Given that q = 1, find the 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 i = b + 14 to h, which gives h = b + 25.\n2. Substitute b = g + 9 to h, which gives h = g + 34.\n3. Substitute g = r + 4 to h, which gives h = r + 38.\n4. Substitute r = j + 2 to h, which gives h = j + 40.\n5. Substitute j = q + 16 to h, which gives h = q + 56.\n6. Substitute q = 1 to h, which gives h = 57.\n\nThus, the final answer is h = \\boxed{57}.",
"index": 13035,
"question": "Suppose a collection of variables is related by the following definitions: o = k + 16; h = i + 11; s = q + 8; r = j + 2; j = q + 16; k = c + 8; g = r + 4; i = b + 14; e = s + 15; q = 1; c = e + 14; x = o + 6; b = g + 9. Given that q = 1, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"x": "f + 14", "d": "x + 20", "g": "d + 14", "a": "g + 8", "q": "a + 17", "y": "q + 19", "m": "f + 20", "i": "m + 16", "b": "i + 16", "z": "b + 14", "w": "z + 11", "l": "w + 6", "f": 19}, "premises": {"f": 19}, "target": "y"}, "answer": {"steps": [["q", "a + 17", "a + 36"], ["a", "g + 8", "g + 44"], ["g", "d + 14", "d + 58"], ["d", "x + 20", "x + 78"], ["x", "f + 14", "f + 92"], ["f", 19, "111"]], "target_var_name": "y", "target_value": 111, "value_dict": {"f": 19}, "is_reverse": true}} | 13,036 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = f + 20; g = d + 14; f = 19; w = z + 11; z = b + 14; x = f + 14; a = g + 8; d = x + 20; i = m + 16; y = q + 19; l = w + 6; q = a + 17; b = i + 16. If f = 19, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 111,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = a + 17 to y, which gives y = a + 36.\n2. Substitute a = g + 8 to y, which gives y = g + 44.\n3. Substitute g = d + 14 to y, which gives y = d + 58.\n4. Substitute d = x + 20 to y, which gives y = x + 78.\n5. Substitute x = f + 14 to y, which gives y = f + 92.\n6. Substitute f = 19 to y, which gives y = 111.\n\nThus, the final answer is y = \\boxed{111}.",
"index": 13036,
"question": "Consider a system of variables where each variable is defined as follows: m = f + 20; g = d + 14; f = 19; w = z + 11; z = b + 14; x = f + 14; a = g + 8; d = x + 20; i = m + 16; y = q + 19; l = w + 6; q = a + 17; b = i + 16. If f = 19, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"y": "z + 3", "g": "y + 17", "w": "g + 3", "m": "w + 10", "x": "m + 14", "a": "x + 3", "u": "z + 4", "i": "u + 2", "p": "i + 18", "s": "p + 15", "j": "s + 13", "q": "j + 9", "z": 8}, "premises": {"z": 8}, "target": "a"}, "answer": {"steps": [["x", "m + 14", "m + 17"], ["m", "w + 10", "w + 27"], ["w", "g + 3", "g + 30"], ["g", "y + 17", "y + 47"], ["y", "z + 3", "z + 50"], ["z", 8, "58"]], "target_var_name": "a", "target_value": 58, "value_dict": {"z": 8}, "is_reverse": true}} | 13,037 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = g + 3; x = m + 14; y = z + 3; s = p + 15; q = j + 9; g = y + 17; z = 8; i = u + 2; j = s + 13; a = x + 3; p = i + 18; u = z + 4; m = w + 10. If z = 8, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = m + 14 to a, which gives a = m + 17.\n2. Substitute m = w + 10 to a, which gives a = w + 27.\n3. Substitute w = g + 3 to a, which gives a = g + 30.\n4. Substitute g = y + 17 to a, which gives a = y + 47.\n5. Substitute y = z + 3 to a, which gives a = z + 50.\n6. Substitute z = 8 to a, which gives a = 58.\n\nThus, the final answer is a = \\boxed{58}.",
"index": 13037,
"question": "Consider a system of variables where each variable is defined as follows: w = g + 3; x = m + 14; y = z + 3; s = p + 15; q = j + 9; g = y + 17; z = 8; i = u + 2; j = s + 13; a = x + 3; p = i + 18; u = z + 4; m = w + 10. If z = 8, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"w": "f + 20", "x": "w + 17", "e": "x + 20", "c": "e + 18", "m": "c + 19", "j": "m + 8", "s": "f + 19", "o": "s + 2", "a": "o + 13", "n": "a + 18", "q": "n + 16", "r": "q + 19", "f": 13}, "premises": {"f": 13}, "target": "j"}, "answer": {"steps": [["m", "c + 19", "c + 27"], ["c", "e + 18", "e + 45"], ["e", "x + 20", "x + 65"], ["x", "w + 17", "w + 82"], ["w", "f + 20", "f + 102"], ["f", 13, "115"]], "target_var_name": "j", "target_value": 115, "value_dict": {"f": 13}, "is_reverse": true}} | 13,038 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = n + 16; e = x + 20; a = o + 13; c = e + 18; s = f + 19; o = s + 2; x = w + 17; w = f + 20; m = c + 19; j = m + 8; r = q + 19; f = 13; n = a + 18. If f = 13, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 115,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = c + 19 to j, which gives j = c + 27.\n2. Substitute c = e + 18 to j, which gives j = e + 45.\n3. Substitute e = x + 20 to j, which gives j = x + 65.\n4. Substitute x = w + 17 to j, which gives j = w + 82.\n5. Substitute w = f + 20 to j, which gives j = f + 102.\n6. Substitute f = 13 to j, which gives j = 115.\n\nThus, the final answer is j = \\boxed{115}.",
"index": 13038,
"question": "Consider a system of variables where each variable is defined as follows: q = n + 16; e = x + 20; a = o + 13; c = e + 18; s = f + 19; o = s + 2; x = w + 17; w = f + 20; m = c + 19; j = m + 8; r = q + 19; f = 13; n = a + 18. If f = 13, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"u": "d + 11", "w": "u + 9", "v": "w + 15", "y": "v + 16", "e": "y + 17", "j": "e + 4", "o": "d + 17", "b": "o + 3", "g": "b + 11", "q": "g + 5", "s": "q + 14", "t": "s + 11", "d": 15}, "premises": {"d": 15}, "target": "j"}, "answer": {"steps": [["e", "y + 17", "y + 21"], ["y", "v + 16", "v + 37"], ["v", "w + 15", "w + 52"], ["w", "u + 9", "u + 61"], ["u", "d + 11", "d + 72"], ["d", 15, "87"]], "target_var_name": "j", "target_value": 87, "value_dict": {"d": 15}, "is_reverse": true}} | 13,039 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = w + 15; y = v + 16; u = d + 11; w = u + 9; g = b + 11; e = y + 17; s = q + 14; o = d + 17; t = s + 11; j = e + 4; b = o + 3; q = g + 5; d = 15. Given that d = 15, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = y + 17 to j, which gives j = y + 21.\n2. Substitute y = v + 16 to j, which gives j = v + 37.\n3. Substitute v = w + 15 to j, which gives j = w + 52.\n4. Substitute w = u + 9 to j, which gives j = u + 61.\n5. Substitute u = d + 11 to j, which gives j = d + 72.\n6. Substitute d = 15 to j, which gives j = 87.\n\nThus, the final answer is j = \\boxed{87}.",
"index": 13039,
"question": "Suppose a collection of variables is related by the following definitions: v = w + 15; y = v + 16; u = d + 11; w = u + 9; g = b + 11; e = y + 17; s = q + 14; o = d + 17; t = s + 11; j = e + 4; b = o + 3; q = g + 5; d = 15. Given that d = 15, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"c": "x + 10", "d": "c + 9", "l": "d + 20", "o": "l + 17", "f": "o + 15", "t": "f + 20", "g": "x + 16", "a": "g + 4", "z": "a + 5", "b": "z + 6", "h": "b + 4", "v": "h + 17", "x": 15}, "premises": {"x": 15}, "target": "t"}, "answer": {"steps": [["f", "o + 15", "o + 35"], ["o", "l + 17", "l + 52"], ["l", "d + 20", "d + 72"], ["d", "c + 9", "c + 81"], ["c", "x + 10", "x + 91"], ["x", 15, "106"]], "target_var_name": "t", "target_value": 106, "value_dict": {"x": 15}, "is_reverse": true}} | 13,040 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = x + 16; h = b + 4; z = a + 5; v = h + 17; t = f + 20; b = z + 6; x = 15; c = x + 10; o = l + 17; f = o + 15; a = g + 4; l = d + 20; d = c + 9. Given that x = 15, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 106,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = o + 15 to t, which gives t = o + 35.\n2. Substitute o = l + 17 to t, which gives t = l + 52.\n3. Substitute l = d + 20 to t, which gives t = d + 72.\n4. Substitute d = c + 9 to t, which gives t = c + 81.\n5. Substitute c = x + 10 to t, which gives t = x + 91.\n6. Substitute x = 15 to t, which gives t = 106.\n\nThus, the final answer is t = \\boxed{106}.",
"index": 13040,
"question": "Suppose a collection of variables is related by the following definitions: g = x + 16; h = b + 4; z = a + 5; v = h + 17; t = f + 20; b = z + 6; x = 15; c = x + 10; o = l + 17; f = o + 15; a = g + 4; l = d + 20; d = c + 9. Given that x = 15, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"t": "i + 19", "s": "t + 2", "f": "s + 6", "h": "f + 7", "g": "h + 4", "a": "g + 5", "b": "i + 14", "m": "b + 5", "z": "m + 14", "d": "z + 18", "x": "d + 11", "y": "x + 2", "i": 16}, "premises": {"i": 16}, "target": "a"}, "answer": {"steps": [["g", "h + 4", "h + 9"], ["h", "f + 7", "f + 16"], ["f", "s + 6", "s + 22"], ["s", "t + 2", "t + 24"], ["t", "i + 19", "i + 43"], ["i", 16, "59"]], "target_var_name": "a", "target_value": 59, "value_dict": {"i": 16}, "is_reverse": true}} | 13,041 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = i + 14; y = x + 2; t = i + 19; i = 16; s = t + 2; x = d + 11; f = s + 6; h = f + 7; d = z + 18; a = g + 5; g = h + 4; z = m + 14; m = b + 5. If i = 16, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = h + 4 to a, which gives a = h + 9.\n2. Substitute h = f + 7 to a, which gives a = f + 16.\n3. Substitute f = s + 6 to a, which gives a = s + 22.\n4. Substitute s = t + 2 to a, which gives a = t + 24.\n5. Substitute t = i + 19 to a, which gives a = i + 43.\n6. Substitute i = 16 to a, which gives a = 59.\n\nThus, the final answer is a = \\boxed{59}.",
"index": 13041,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = i + 14; y = x + 2; t = i + 19; i = 16; s = t + 2; x = d + 11; f = s + 6; h = f + 7; d = z + 18; a = g + 5; g = h + 4; z = m + 14; m = b + 5. If i = 16, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"a": "r + 1", "k": "a + 18", "p": "k + 2", "m": "p + 13", "h": "m + 8", "t": "h + 12", "e": "r + 3", "l": "e + 11", "w": "l + 17", "q": "w + 13", "o": "q + 20", "b": "o + 13", "r": 18}, "premises": {"r": 18}, "target": "t"}, "answer": {"steps": [["h", "m + 8", "m + 20"], ["m", "p + 13", "p + 33"], ["p", "k + 2", "k + 35"], ["k", "a + 18", "a + 53"], ["a", "r + 1", "r + 54"], ["r", 18, "72"]], "target_var_name": "t", "target_value": 72, "value_dict": {"r": 18}, "is_reverse": true}} | 13,042 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = e + 11; p = k + 2; k = a + 18; t = h + 12; r = 18; h = m + 8; q = w + 13; m = p + 13; w = l + 17; b = o + 13; a = r + 1; o = q + 20; e = r + 3. Given that r = 18, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = m + 8 to t, which gives t = m + 20.\n2. Substitute m = p + 13 to t, which gives t = p + 33.\n3. Substitute p = k + 2 to t, which gives t = k + 35.\n4. Substitute k = a + 18 to t, which gives t = a + 53.\n5. Substitute a = r + 1 to t, which gives t = r + 54.\n6. Substitute r = 18 to t, which gives t = 72.\n\nThus, the final answer is t = \\boxed{72}.",
"index": 13042,
"question": "Suppose a collection of variables is related by the following definitions: l = e + 11; p = k + 2; k = a + 18; t = h + 12; r = 18; h = m + 8; q = w + 13; m = p + 13; w = l + 17; b = o + 13; a = r + 1; o = q + 20; e = r + 3. Given that r = 18, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"p": "c + 6", "w": "p + 20", "m": "w + 13", "r": "m + 20", "y": "r + 15", "q": "y + 14", "x": "c + 17", "o": "x + 4", "n": "o + 18", "t": "n + 9", "b": "t + 1", "j": "b + 13", "c": 17}, "premises": {"c": 17}, "target": "q"}, "answer": {"steps": [["y", "r + 15", "r + 29"], ["r", "m + 20", "m + 49"], ["m", "w + 13", "w + 62"], ["w", "p + 20", "p + 82"], ["p", "c + 6", "c + 88"], ["c", 17, "105"]], "target_var_name": "q", "target_value": 105, "value_dict": {"c": 17}, "is_reverse": true}} | 13,043 | 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 = c + 6; m = w + 13; x = c + 17; j = b + 13; b = t + 1; c = 17; w = p + 20; y = r + 15; r = m + 20; t = n + 9; q = y + 14; o = x + 4; n = o + 18. If c = 17, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 105,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = r + 15 to q, which gives q = r + 29.\n2. Substitute r = m + 20 to q, which gives q = m + 49.\n3. Substitute m = w + 13 to q, which gives q = w + 62.\n4. Substitute w = p + 20 to q, which gives q = p + 82.\n5. Substitute p = c + 6 to q, which gives q = c + 88.\n6. Substitute c = 17 to q, which gives q = 105.\n\nThus, the final answer is q = \\boxed{105}.",
"index": 13043,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = c + 6; m = w + 13; x = c + 17; j = b + 13; b = t + 1; c = 17; w = p + 20; y = r + 15; r = m + 20; t = n + 9; q = y + 14; o = x + 4; n = o + 18. If c = 17, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"b": "m + 17", "q": "b + 1", "k": "q + 11", "n": "k + 2", "u": "n + 14", "y": "u + 12", "c": "m + 18", "s": "c + 14", "x": "s + 18", "r": "x + 15", "p": "r + 15", "w": "p + 6", "m": 10}, "premises": {"m": 10}, "target": "y"}, "answer": {"steps": [["u", "n + 14", "n + 26"], ["n", "k + 2", "k + 28"], ["k", "q + 11", "q + 39"], ["q", "b + 1", "b + 40"], ["b", "m + 17", "m + 57"], ["m", 10, "67"]], "target_var_name": "y", "target_value": 67, "value_dict": {"m": 10}, "is_reverse": true}} | 13,044 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = k + 2; r = x + 15; s = c + 14; w = p + 6; m = 10; p = r + 15; x = s + 18; u = n + 14; q = b + 1; k = q + 11; c = m + 18; y = u + 12; b = m + 17. If m = 10, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = n + 14 to y, which gives y = n + 26.\n2. Substitute n = k + 2 to y, which gives y = k + 28.\n3. Substitute k = q + 11 to y, which gives y = q + 39.\n4. Substitute q = b + 1 to y, which gives y = b + 40.\n5. Substitute b = m + 17 to y, which gives y = m + 57.\n6. Substitute m = 10 to y, which gives y = 67.\n\nThus, the final answer is y = \\boxed{67}.",
"index": 13044,
"question": "Consider a system of variables where each variable is defined as follows: n = k + 2; r = x + 15; s = c + 14; w = p + 6; m = 10; p = r + 15; x = s + 18; u = n + 14; q = b + 1; k = q + 11; c = m + 18; y = u + 12; b = m + 17. If m = 10, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"l": "v + 12", "u": "l + 9", "d": "u + 7", "y": "d + 9", "b": "y + 11", "w": "b + 7", "i": "v + 15", "m": "i + 3", "t": "m + 1", "o": "t + 6", "f": "o + 16", "q": "f + 6", "v": 7}, "premises": {"v": 7}, "target": "w"}, "answer": {"steps": [["b", "y + 11", "y + 18"], ["y", "d + 9", "d + 27"], ["d", "u + 7", "u + 34"], ["u", "l + 9", "l + 43"], ["l", "v + 12", "v + 55"], ["v", 7, "62"]], "target_var_name": "w", "target_value": 62, "value_dict": {"v": 7}, "is_reverse": true}} | 13,045 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = u + 7; t = m + 1; q = f + 6; m = i + 3; b = y + 11; u = l + 9; i = v + 15; l = v + 12; v = 7; y = d + 9; o = t + 6; f = o + 16; w = b + 7. If v = 7, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = y + 11 to w, which gives w = y + 18.\n2. Substitute y = d + 9 to w, which gives w = d + 27.\n3. Substitute d = u + 7 to w, which gives w = u + 34.\n4. Substitute u = l + 9 to w, which gives w = l + 43.\n5. Substitute l = v + 12 to w, which gives w = v + 55.\n6. Substitute v = 7 to w, which gives w = 62.\n\nThus, the final answer is w = \\boxed{62}.",
"index": 13045,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = u + 7; t = m + 1; q = f + 6; m = i + 3; b = y + 11; u = l + 9; i = v + 15; l = v + 12; v = 7; y = d + 9; o = t + 6; f = o + 16; w = b + 7. If v = 7, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"t": "x + 17", "u": "t + 2", "s": "u + 9", "n": "s + 4", "p": "n + 13", "b": "p + 11", "m": "x + 16", "j": "m + 3", "h": "j + 4", "k": "h + 18", "o": "k + 5", "f": "o + 18", "x": 10}, "premises": {"x": 10}, "target": "b"}, "answer": {"steps": [["p", "n + 13", "n + 24"], ["n", "s + 4", "s + 28"], ["s", "u + 9", "u + 37"], ["u", "t + 2", "t + 39"], ["t", "x + 17", "x + 56"], ["x", 10, "66"]], "target_var_name": "b", "target_value": 66, "value_dict": {"x": 10}, "is_reverse": true}} | 13,046 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = k + 5; m = x + 16; f = o + 18; h = j + 4; b = p + 11; x = 10; k = h + 18; n = s + 4; t = x + 17; s = u + 9; p = n + 13; u = t + 2; j = m + 3. If x = 10, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = n + 13 to b, which gives b = n + 24.\n2. Substitute n = s + 4 to b, which gives b = s + 28.\n3. Substitute s = u + 9 to b, which gives b = u + 37.\n4. Substitute u = t + 2 to b, which gives b = t + 39.\n5. Substitute t = x + 17 to b, which gives b = x + 56.\n6. Substitute x = 10 to b, which gives b = 66.\n\nThus, the final answer is b = \\boxed{66}.",
"index": 13046,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = k + 5; m = x + 16; f = o + 18; h = j + 4; b = p + 11; x = 10; k = h + 18; n = s + 4; t = x + 17; s = u + 9; p = n + 13; u = t + 2; j = m + 3. If x = 10, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"v": "g + 2", "q": "v + 5", "c": "q + 19", "s": "c + 12", "u": "s + 3", "i": "u + 11", "y": "g + 6", "p": "y + 9", "m": "p + 9", "l": "m + 15", "h": "l + 4", "w": "h + 9", "g": 17}, "premises": {"g": 17}, "target": "i"}, "answer": {"steps": [["u", "s + 3", "s + 14"], ["s", "c + 12", "c + 26"], ["c", "q + 19", "q + 45"], ["q", "v + 5", "v + 50"], ["v", "g + 2", "g + 52"], ["g", 17, "69"]], "target_var_name": "i", "target_value": 69, "value_dict": {"g": 17}, "is_reverse": true}} | 13,047 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = m + 15; y = g + 6; m = p + 9; p = y + 9; q = v + 5; c = q + 19; v = g + 2; s = c + 12; g = 17; h = l + 4; u = s + 3; i = u + 11; w = h + 9. If g = 17, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = s + 3 to i, which gives i = s + 14.\n2. Substitute s = c + 12 to i, which gives i = c + 26.\n3. Substitute c = q + 19 to i, which gives i = q + 45.\n4. Substitute q = v + 5 to i, which gives i = v + 50.\n5. Substitute v = g + 2 to i, which gives i = g + 52.\n6. Substitute g = 17 to i, which gives i = 69.\n\nThus, the final answer is i = \\boxed{69}.",
"index": 13047,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = m + 15; y = g + 6; m = p + 9; p = y + 9; q = v + 5; c = q + 19; v = g + 2; s = c + 12; g = 17; h = l + 4; u = s + 3; i = u + 11; w = h + 9. If g = 17, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"c": "w + 8", "m": "c + 8", "r": "m + 16", "s": "r + 15", "o": "s + 3", "z": "o + 15", "e": "w + 8", "x": "e + 8", "h": "x + 7", "k": "h + 7", "a": "k + 11", "n": "a + 11", "w": 5}, "premises": {"w": 5}, "target": "z"}, "answer": {"steps": [["o", "s + 3", "s + 18"], ["s", "r + 15", "r + 33"], ["r", "m + 16", "m + 49"], ["m", "c + 8", "c + 57"], ["c", "w + 8", "w + 65"], ["w", 5, "70"]], "target_var_name": "z", "target_value": 70, "value_dict": {"w": 5}, "is_reverse": true}} | 13,048 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = e + 8; c = w + 8; m = c + 8; z = o + 15; s = r + 15; o = s + 3; e = w + 8; n = a + 11; w = 5; h = x + 7; a = k + 11; k = h + 7; r = m + 16. If w = 5, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = s + 3 to z, which gives z = s + 18.\n2. Substitute s = r + 15 to z, which gives z = r + 33.\n3. Substitute r = m + 16 to z, which gives z = m + 49.\n4. Substitute m = c + 8 to z, which gives z = c + 57.\n5. Substitute c = w + 8 to z, which gives z = w + 65.\n6. Substitute w = 5 to z, which gives z = 70.\n\nThus, the final answer is z = \\boxed{70}.",
"index": 13048,
"question": "Consider a system of variables where each variable is defined as follows: x = e + 8; c = w + 8; m = c + 8; z = o + 15; s = r + 15; o = s + 3; e = w + 8; n = a + 11; w = 5; h = x + 7; a = k + 11; k = h + 7; r = m + 16. If w = 5, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"k": "l + 19", "b": "k + 13", "h": "b + 14", "e": "h + 20", "o": "e + 20", "i": "o + 5", "g": "l + 15", "c": "g + 2", "s": "c + 19", "j": "s + 11", "t": "j + 8", "z": "t + 9", "l": 1}, "premises": {"l": 1}, "target": "i"}, "answer": {"steps": [["o", "e + 20", "e + 25"], ["e", "h + 20", "h + 45"], ["h", "b + 14", "b + 59"], ["b", "k + 13", "k + 72"], ["k", "l + 19", "l + 91"], ["l", 1, "92"]], "target_var_name": "i", "target_value": 92, "value_dict": {"l": 1}, "is_reverse": true}} | 13,049 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = 1; i = o + 5; e = h + 20; z = t + 9; h = b + 14; t = j + 8; s = c + 19; k = l + 19; c = g + 2; j = s + 11; b = k + 13; o = e + 20; g = l + 15. If l = 1, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = e + 20 to i, which gives i = e + 25.\n2. Substitute e = h + 20 to i, which gives i = h + 45.\n3. Substitute h = b + 14 to i, which gives i = b + 59.\n4. Substitute b = k + 13 to i, which gives i = k + 72.\n5. Substitute k = l + 19 to i, which gives i = l + 91.\n6. Substitute l = 1 to i, which gives i = 92.\n\nThus, the final answer is i = \\boxed{92}.",
"index": 13049,
"question": "Consider a system of variables where each variable is defined as follows: l = 1; i = o + 5; e = h + 20; z = t + 9; h = b + 14; t = j + 8; s = c + 19; k = l + 19; c = g + 2; j = s + 11; b = k + 13; o = e + 20; g = l + 15. If l = 1, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"y": "t + 7", "r": "y + 4", "s": "r + 18", "u": "s + 8", "w": "u + 5", "d": "w + 4", "f": "t + 10", "v": "f + 1", "l": "v + 2", "p": "l + 19", "o": "p + 2", "m": "o + 6", "t": 13}, "premises": {"t": 13}, "target": "d"}, "answer": {"steps": [["w", "u + 5", "u + 9"], ["u", "s + 8", "s + 17"], ["s", "r + 18", "r + 35"], ["r", "y + 4", "y + 39"], ["y", "t + 7", "t + 46"], ["t", 13, "59"]], "target_var_name": "d", "target_value": 59, "value_dict": {"t": 13}, "is_reverse": true}} | 13,050 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = r + 18; t = 13; m = o + 6; l = v + 2; u = s + 8; y = t + 7; r = y + 4; o = p + 2; v = f + 1; f = t + 10; d = w + 4; w = u + 5; p = l + 19. If t = 13, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = u + 5 to d, which gives d = u + 9.\n2. Substitute u = s + 8 to d, which gives d = s + 17.\n3. Substitute s = r + 18 to d, which gives d = r + 35.\n4. Substitute r = y + 4 to d, which gives d = y + 39.\n5. Substitute y = t + 7 to d, which gives d = t + 46.\n6. Substitute t = 13 to d, which gives d = 59.\n\nThus, the final answer is d = \\boxed{59}.",
"index": 13050,
"question": "Consider a system of variables where each variable is defined as follows: s = r + 18; t = 13; m = o + 6; l = v + 2; u = s + 8; y = t + 7; r = y + 4; o = p + 2; v = f + 1; f = t + 10; d = w + 4; w = u + 5; p = l + 19. If t = 13, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"g": "d + 4", "u": "g + 7", "o": "u + 12", "q": "o + 14", "w": "q + 4", "x": "w + 12", "j": "d + 7", "b": "j + 12", "n": "b + 12", "p": "n + 18", "e": "p + 5", "h": "e + 8", "d": 2}, "premises": {"d": 2}, "target": "x"}, "answer": {"steps": [["w", "q + 4", "q + 16"], ["q", "o + 14", "o + 30"], ["o", "u + 12", "u + 42"], ["u", "g + 7", "g + 49"], ["g", "d + 4", "d + 53"], ["d", 2, "55"]], "target_var_name": "x", "target_value": 55, "value_dict": {"d": 2}, "is_reverse": true}} | 13,051 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = j + 12; u = g + 7; d = 2; q = o + 14; g = d + 4; e = p + 5; p = n + 18; o = u + 12; j = d + 7; w = q + 4; x = w + 12; n = b + 12; h = e + 8. If d = 2, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = q + 4 to x, which gives x = q + 16.\n2. Substitute q = o + 14 to x, which gives x = o + 30.\n3. Substitute o = u + 12 to x, which gives x = u + 42.\n4. Substitute u = g + 7 to x, which gives x = g + 49.\n5. Substitute g = d + 4 to x, which gives x = d + 53.\n6. Substitute d = 2 to x, which gives x = 55.\n\nThus, the final answer is x = \\boxed{55}.",
"index": 13051,
"question": "Consider a system of variables where each variable is defined as follows: b = j + 12; u = g + 7; d = 2; q = o + 14; g = d + 4; e = p + 5; p = n + 18; o = u + 12; j = d + 7; w = q + 4; x = w + 12; n = b + 12; h = e + 8. If d = 2, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"u": "r + 19", "z": "u + 2", "s": "z + 9", "v": "s + 13", "y": "v + 20", "d": "y + 2", "p": "r + 5", "m": "p + 14", "t": "m + 16", "n": "t + 10", "f": "n + 15", "q": "f + 12", "r": 19}, "premises": {"r": 19}, "target": "d"}, "answer": {"steps": [["y", "v + 20", "v + 22"], ["v", "s + 13", "s + 35"], ["s", "z + 9", "z + 44"], ["z", "u + 2", "u + 46"], ["u", "r + 19", "r + 65"], ["r", 19, "84"]], "target_var_name": "d", "target_value": 84, "value_dict": {"r": 19}, "is_reverse": true}} | 13,052 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = u + 2; m = p + 14; s = z + 9; d = y + 2; t = m + 16; q = f + 12; p = r + 5; r = 19; y = v + 20; u = r + 19; f = n + 15; n = t + 10; v = s + 13. If r = 19, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = v + 20 to d, which gives d = v + 22.\n2. Substitute v = s + 13 to d, which gives d = s + 35.\n3. Substitute s = z + 9 to d, which gives d = z + 44.\n4. Substitute z = u + 2 to d, which gives d = u + 46.\n5. Substitute u = r + 19 to d, which gives d = r + 65.\n6. Substitute r = 19 to d, which gives d = 84.\n\nThus, the final answer is d = \\boxed{84}.",
"index": 13052,
"question": "Consider a system of variables where each variable is defined as follows: z = u + 2; m = p + 14; s = z + 9; d = y + 2; t = m + 16; q = f + 12; p = r + 5; r = 19; y = v + 20; u = r + 19; f = n + 15; n = t + 10; v = s + 13. If r = 19, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"a": "z + 12", "r": "a + 15", "d": "r + 9", "u": "d + 3", "c": "u + 4", "t": "c + 18", "w": "z + 18", "k": "w + 19", "l": "k + 14", "i": "l + 13", "f": "i + 17", "q": "f + 14", "z": 1}, "premises": {"z": 1}, "target": "t"}, "answer": {"steps": [["c", "u + 4", "u + 22"], ["u", "d + 3", "d + 25"], ["d", "r + 9", "r + 34"], ["r", "a + 15", "a + 49"], ["a", "z + 12", "z + 61"], ["z", 1, "62"]], "target_var_name": "t", "target_value": 62, "value_dict": {"z": 1}, "is_reverse": true}} | 13,053 | 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 + 12; c = u + 4; l = k + 14; d = r + 9; q = f + 14; z = 1; u = d + 3; i = l + 13; f = i + 17; r = a + 15; w = z + 18; t = c + 18; k = w + 19. If z = 1, determine the 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 c = u + 4 to t, which gives t = u + 22.\n2. Substitute u = d + 3 to t, which gives t = d + 25.\n3. Substitute d = r + 9 to t, which gives t = r + 34.\n4. Substitute r = a + 15 to t, which gives t = a + 49.\n5. Substitute a = z + 12 to t, which gives t = z + 61.\n6. Substitute z = 1 to t, which gives t = 62.\n\nThus, the final answer is t = \\boxed{62}.",
"index": 13053,
"question": "Consider a system of variables where each variable is defined as follows: a = z + 12; c = u + 4; l = k + 14; d = r + 9; q = f + 14; z = 1; u = d + 3; i = l + 13; f = i + 17; r = a + 15; w = z + 18; t = c + 18; k = w + 19. If z = 1, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"c": "v + 3", "h": "c + 11", "b": "h + 17", "y": "b + 5", "z": "y + 19", "x": "z + 3", "m": "v + 11", "r": "m + 13", "s": "r + 16", "e": "s + 11", "f": "e + 10", "q": "f + 18", "v": 6}, "premises": {"v": 6}, "target": "x"}, "answer": {"steps": [["z", "y + 19", "y + 22"], ["y", "b + 5", "b + 27"], ["b", "h + 17", "h + 44"], ["h", "c + 11", "c + 55"], ["c", "v + 3", "v + 58"], ["v", 6, "64"]], "target_var_name": "x", "target_value": 64, "value_dict": {"v": 6}, "is_reverse": true}} | 13,054 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = v + 3; v = 6; f = e + 10; z = y + 19; b = h + 17; m = v + 11; y = b + 5; x = z + 3; s = r + 16; q = f + 18; e = s + 11; r = m + 13; h = c + 11. If v = 6, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = y + 19 to x, which gives x = y + 22.\n2. Substitute y = b + 5 to x, which gives x = b + 27.\n3. Substitute b = h + 17 to x, which gives x = h + 44.\n4. Substitute h = c + 11 to x, which gives x = c + 55.\n5. Substitute c = v + 3 to x, which gives x = v + 58.\n6. Substitute v = 6 to x, which gives x = 64.\n\nThus, the final answer is x = \\boxed{64}.",
"index": 13054,
"question": "Consider a system of variables where each variable is defined as follows: c = v + 3; v = 6; f = e + 10; z = y + 19; b = h + 17; m = v + 11; y = b + 5; x = z + 3; s = r + 16; q = f + 18; e = s + 11; r = m + 13; h = c + 11. If v = 6, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"g": "f + 9", "j": "g + 12", "e": "j + 13", "q": "e + 7", "u": "q + 4", "v": "u + 19", "w": "f + 19", "t": "w + 12", "p": "t + 12", "b": "p + 17", "i": "b + 20", "r": "i + 3", "f": 8}, "premises": {"f": 8}, "target": "v"}, "answer": {"steps": [["u", "q + 4", "q + 23"], ["q", "e + 7", "e + 30"], ["e", "j + 13", "j + 43"], ["j", "g + 12", "g + 55"], ["g", "f + 9", "f + 64"], ["f", 8, "72"]], "target_var_name": "v", "target_value": 72, "value_dict": {"f": 8}, "is_reverse": true}} | 13,055 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = e + 7; j = g + 12; g = f + 9; f = 8; b = p + 17; e = j + 13; v = u + 19; u = q + 4; i = b + 20; r = i + 3; t = w + 12; p = t + 12; w = f + 19. If f = 8, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = q + 4 to v, which gives v = q + 23.\n2. Substitute q = e + 7 to v, which gives v = e + 30.\n3. Substitute e = j + 13 to v, which gives v = j + 43.\n4. Substitute j = g + 12 to v, which gives v = g + 55.\n5. Substitute g = f + 9 to v, which gives v = f + 64.\n6. Substitute f = 8 to v, which gives v = 72.\n\nThus, the final answer is v = \\boxed{72}.",
"index": 13055,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = e + 7; j = g + 12; g = f + 9; f = 8; b = p + 17; e = j + 13; v = u + 19; u = q + 4; i = b + 20; r = i + 3; t = w + 12; p = t + 12; w = f + 19. If f = 8, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"h": "x + 5", "b": "h + 20", "z": "b + 2", "m": "z + 6", "q": "m + 10", "u": "q + 9", "c": "x + 10", "s": "c + 3", "y": "s + 19", "v": "y + 11", "t": "v + 17", "o": "t + 20", "x": 11}, "premises": {"x": 11}, "target": "u"}, "answer": {"steps": [["q", "m + 10", "m + 19"], ["m", "z + 6", "z + 25"], ["z", "b + 2", "b + 27"], ["b", "h + 20", "h + 47"], ["h", "x + 5", "x + 52"], ["x", 11, "63"]], "target_var_name": "u", "target_value": 63, "value_dict": {"x": 11}, "is_reverse": true}} | 13,056 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = b + 2; s = c + 3; o = t + 20; u = q + 9; x = 11; m = z + 6; y = s + 19; h = x + 5; b = h + 20; t = v + 17; c = x + 10; v = y + 11; q = m + 10. If x = 11, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = m + 10 to u, which gives u = m + 19.\n2. Substitute m = z + 6 to u, which gives u = z + 25.\n3. Substitute z = b + 2 to u, which gives u = b + 27.\n4. Substitute b = h + 20 to u, which gives u = h + 47.\n5. Substitute h = x + 5 to u, which gives u = x + 52.\n6. Substitute x = 11 to u, which gives u = 63.\n\nThus, the final answer is u = \\boxed{63}.",
"index": 13056,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = b + 2; s = c + 3; o = t + 20; u = q + 9; x = 11; m = z + 6; y = s + 19; h = x + 5; b = h + 20; t = v + 17; c = x + 10; v = y + 11; q = m + 10. If x = 11, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"n": "c + 3", "u": "n + 8", "h": "u + 10", "t": "h + 10", "p": "t + 11", "o": "p + 8", "q": "c + 5", "j": "q + 2", "r": "j + 4", "y": "r + 2", "d": "y + 10", "b": "d + 5", "c": 19}, "premises": {"c": 19}, "target": "o"}, "answer": {"steps": [["p", "t + 11", "t + 19"], ["t", "h + 10", "h + 29"], ["h", "u + 10", "u + 39"], ["u", "n + 8", "n + 47"], ["n", "c + 3", "c + 50"], ["c", 19, "69"]], "target_var_name": "o", "target_value": 69, "value_dict": {"c": 19}, "is_reverse": true}} | 13,057 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = c + 3; u = n + 8; b = d + 5; o = p + 8; p = t + 11; h = u + 10; y = r + 2; q = c + 5; t = h + 10; d = y + 10; c = 19; j = q + 2; r = j + 4. If c = 19, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = t + 11 to o, which gives o = t + 19.\n2. Substitute t = h + 10 to o, which gives o = h + 29.\n3. Substitute h = u + 10 to o, which gives o = u + 39.\n4. Substitute u = n + 8 to o, which gives o = n + 47.\n5. Substitute n = c + 3 to o, which gives o = c + 50.\n6. Substitute c = 19 to o, which gives o = 69.\n\nThus, the final answer is o = \\boxed{69}.",
"index": 13057,
"question": "Consider a system of variables where each variable is defined as follows: n = c + 3; u = n + 8; b = d + 5; o = p + 8; p = t + 11; h = u + 10; y = r + 2; q = c + 5; t = h + 10; d = y + 10; c = 19; j = q + 2; r = j + 4. If c = 19, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"t": "e + 12", "g": "t + 16", "c": "g + 17", "z": "c + 10", "i": "z + 10", "l": "i + 18", "d": "e + 5", "h": "d + 20", "x": "h + 3", "a": "x + 8", "o": "a + 11", "k": "o + 6", "e": 8}, "premises": {"e": 8}, "target": "l"}, "answer": {"steps": [["i", "z + 10", "z + 28"], ["z", "c + 10", "c + 38"], ["c", "g + 17", "g + 55"], ["g", "t + 16", "t + 71"], ["t", "e + 12", "e + 83"], ["e", 8, "91"]], "target_var_name": "l", "target_value": 91, "value_dict": {"e": 8}, "is_reverse": true}} | 13,058 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = i + 18; a = x + 8; d = e + 5; h = d + 20; z = c + 10; c = g + 17; t = e + 12; e = 8; g = t + 16; i = z + 10; k = o + 6; o = a + 11; x = h + 3. If e = 8, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = z + 10 to l, which gives l = z + 28.\n2. Substitute z = c + 10 to l, which gives l = c + 38.\n3. Substitute c = g + 17 to l, which gives l = g + 55.\n4. Substitute g = t + 16 to l, which gives l = t + 71.\n5. Substitute t = e + 12 to l, which gives l = e + 83.\n6. Substitute e = 8 to l, which gives l = 91.\n\nThus, the final answer is l = \\boxed{91}.",
"index": 13058,
"question": "Consider a system of variables where each variable is defined as follows: l = i + 18; a = x + 8; d = e + 5; h = d + 20; z = c + 10; c = g + 17; t = e + 12; e = 8; g = t + 16; i = z + 10; k = o + 6; o = a + 11; x = h + 3. If e = 8, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"f": "r + 16", "q": "f + 6", "z": "q + 10", "n": "z + 19", "h": "n + 6", "t": "h + 4", "g": "r + 19", "c": "g + 9", "d": "c + 17", "m": "d + 11", "e": "m + 20", "j": "e + 11", "r": 8}, "premises": {"r": 8}, "target": "t"}, "answer": {"steps": [["h", "n + 6", "n + 10"], ["n", "z + 19", "z + 29"], ["z", "q + 10", "q + 39"], ["q", "f + 6", "f + 45"], ["f", "r + 16", "r + 61"], ["r", 8, "69"]], "target_var_name": "t", "target_value": 69, "value_dict": {"r": 8}, "is_reverse": true}} | 13,059 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = c + 17; r = 8; f = r + 16; z = q + 10; h = n + 6; e = m + 20; t = h + 4; q = f + 6; m = d + 11; g = r + 19; j = e + 11; c = g + 9; n = z + 19. If r = 8, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = n + 6 to t, which gives t = n + 10.\n2. Substitute n = z + 19 to t, which gives t = z + 29.\n3. Substitute z = q + 10 to t, which gives t = q + 39.\n4. Substitute q = f + 6 to t, which gives t = f + 45.\n5. Substitute f = r + 16 to t, which gives t = r + 61.\n6. Substitute r = 8 to t, which gives t = 69.\n\nThus, the final answer is t = \\boxed{69}.",
"index": 13059,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = c + 17; r = 8; f = r + 16; z = q + 10; h = n + 6; e = m + 20; t = h + 4; q = f + 6; m = d + 11; g = r + 19; j = e + 11; c = g + 9; n = z + 19. If r = 8, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"z": "g + 7", "t": "z + 1", "r": "t + 2", "b": "r + 15", "h": "b + 7", "d": "h + 3", "c": "g + 2", "y": "c + 15", "n": "y + 4", "v": "n + 4", "l": "v + 6", "w": "l + 15", "g": 16}, "premises": {"g": 16}, "target": "d"}, "answer": {"steps": [["h", "b + 7", "b + 10"], ["b", "r + 15", "r + 25"], ["r", "t + 2", "t + 27"], ["t", "z + 1", "z + 28"], ["z", "g + 7", "g + 35"], ["g", 16, "51"]], "target_var_name": "d", "target_value": 51, "value_dict": {"g": 16}, "is_reverse": true}} | 13,060 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = g + 2; r = t + 2; v = n + 4; z = g + 7; y = c + 15; h = b + 7; w = l + 15; b = r + 15; t = z + 1; n = y + 4; g = 16; l = v + 6; d = h + 3. If g = 16, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = b + 7 to d, which gives d = b + 10.\n2. Substitute b = r + 15 to d, which gives d = r + 25.\n3. Substitute r = t + 2 to d, which gives d = t + 27.\n4. Substitute t = z + 1 to d, which gives d = z + 28.\n5. Substitute z = g + 7 to d, which gives d = g + 35.\n6. Substitute g = 16 to d, which gives d = 51.\n\nThus, the final answer is d = \\boxed{51}.",
"index": 13060,
"question": "Consider a system of variables where each variable is defined as follows: c = g + 2; r = t + 2; v = n + 4; z = g + 7; y = c + 15; h = b + 7; w = l + 15; b = r + 15; t = z + 1; n = y + 4; g = 16; l = v + 6; d = h + 3. If g = 16, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"e": "j + 9", "m": "e + 13", "s": "m + 17", "t": "s + 5", "d": "t + 7", "o": "d + 9", "n": "j + 7", "p": "n + 16", "y": "p + 16", "h": "y + 10", "r": "h + 2", "a": "r + 20", "j": 18}, "premises": {"j": 18}, "target": "o"}, "answer": {"steps": [["d", "t + 7", "t + 16"], ["t", "s + 5", "s + 21"], ["s", "m + 17", "m + 38"], ["m", "e + 13", "e + 51"], ["e", "j + 9", "j + 60"], ["j", 18, "78"]], "target_var_name": "o", "target_value": 78, "value_dict": {"j": 18}, "is_reverse": true}} | 13,061 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = m + 17; d = t + 7; y = p + 16; o = d + 9; a = r + 20; p = n + 16; n = j + 7; m = e + 13; e = j + 9; j = 18; h = y + 10; t = s + 5; r = h + 2. If j = 18, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = t + 7 to o, which gives o = t + 16.\n2. Substitute t = s + 5 to o, which gives o = s + 21.\n3. Substitute s = m + 17 to o, which gives o = m + 38.\n4. Substitute m = e + 13 to o, which gives o = e + 51.\n5. Substitute e = j + 9 to o, which gives o = j + 60.\n6. Substitute j = 18 to o, which gives o = 78.\n\nThus, the final answer is o = \\boxed{78}.",
"index": 13061,
"question": "Consider a system of variables where each variable is defined as follows: s = m + 17; d = t + 7; y = p + 16; o = d + 9; a = r + 20; p = n + 16; n = j + 7; m = e + 13; e = j + 9; j = 18; h = y + 10; t = s + 5; r = h + 2. If j = 18, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"a": "p + 15", "m": "a + 19", "t": "m + 6", "o": "t + 1", "x": "o + 6", "h": "x + 8", "u": "p + 16", "g": "u + 18", "c": "g + 15", "q": "c + 13", "e": "q + 8", "r": "e + 20", "p": 20}, "premises": {"p": 20}, "target": "h"}, "answer": {"steps": [["x", "o + 6", "o + 14"], ["o", "t + 1", "t + 15"], ["t", "m + 6", "m + 21"], ["m", "a + 19", "a + 40"], ["a", "p + 15", "p + 55"], ["p", 20, "75"]], "target_var_name": "h", "target_value": 75, "value_dict": {"p": 20}, "is_reverse": true}} | 13,062 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = t + 1; a = p + 15; q = c + 13; h = x + 8; x = o + 6; c = g + 15; e = q + 8; r = e + 20; p = 20; t = m + 6; u = p + 16; m = a + 19; g = u + 18. If p = 20, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = o + 6 to h, which gives h = o + 14.\n2. Substitute o = t + 1 to h, which gives h = t + 15.\n3. Substitute t = m + 6 to h, which gives h = m + 21.\n4. Substitute m = a + 19 to h, which gives h = a + 40.\n5. Substitute a = p + 15 to h, which gives h = p + 55.\n6. Substitute p = 20 to h, which gives h = 75.\n\nThus, the final answer is h = \\boxed{75}.",
"index": 13062,
"question": "Consider a system of variables where each variable is defined as follows: o = t + 1; a = p + 15; q = c + 13; h = x + 8; x = o + 6; c = g + 15; e = q + 8; r = e + 20; p = 20; t = m + 6; u = p + 16; m = a + 19; g = u + 18. If p = 20, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"o": "s + 5", "d": "o + 20", "c": "d + 14", "f": "c + 6", "e": "f + 13", "n": "e + 6", "u": "s + 14", "i": "u + 12", "v": "i + 8", "b": "v + 7", "m": "b + 14", "h": "m + 5", "s": 11}, "premises": {"s": 11}, "target": "n"}, "answer": {"steps": [["e", "f + 13", "f + 19"], ["f", "c + 6", "c + 25"], ["c", "d + 14", "d + 39"], ["d", "o + 20", "o + 59"], ["o", "s + 5", "s + 64"], ["s", 11, "75"]], "target_var_name": "n", "target_value": 75, "value_dict": {"s": 11}, "is_reverse": true}} | 13,063 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = c + 6; h = m + 5; v = i + 8; e = f + 13; s = 11; b = v + 7; m = b + 14; o = s + 5; d = o + 20; c = d + 14; u = s + 14; i = u + 12; n = e + 6. Given that s = 11, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = f + 13 to n, which gives n = f + 19.\n2. Substitute f = c + 6 to n, which gives n = c + 25.\n3. Substitute c = d + 14 to n, which gives n = d + 39.\n4. Substitute d = o + 20 to n, which gives n = o + 59.\n5. Substitute o = s + 5 to n, which gives n = s + 64.\n6. Substitute s = 11 to n, which gives n = 75.\n\nThus, the final answer is n = \\boxed{75}.",
"index": 13063,
"question": "Suppose a collection of variables is related by the following definitions: f = c + 6; h = m + 5; v = i + 8; e = f + 13; s = 11; b = v + 7; m = b + 14; o = s + 5; d = o + 20; c = d + 14; u = s + 14; i = u + 12; n = e + 6. Given that s = 11, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"n": "e + 6", "u": "n + 7", "y": "u + 4", "o": "y + 5", "d": "o + 16", "s": "d + 8", "c": "e + 9", "q": "c + 14", "f": "q + 6", "r": "f + 5", "x": "r + 6", "l": "x + 6", "e": 11}, "premises": {"e": 11}, "target": "s"}, "answer": {"steps": [["d", "o + 16", "o + 24"], ["o", "y + 5", "y + 29"], ["y", "u + 4", "u + 33"], ["u", "n + 7", "n + 40"], ["n", "e + 6", "e + 46"], ["e", 11, "57"]], "target_var_name": "s", "target_value": 57, "value_dict": {"e": 11}, "is_reverse": true}} | 13,064 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = o + 16; n = e + 6; x = r + 6; s = d + 8; f = q + 6; r = f + 5; q = c + 14; e = 11; l = x + 6; u = n + 7; c = e + 9; o = y + 5; y = u + 4. If e = 11, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = o + 16 to s, which gives s = o + 24.\n2. Substitute o = y + 5 to s, which gives s = y + 29.\n3. Substitute y = u + 4 to s, which gives s = u + 33.\n4. Substitute u = n + 7 to s, which gives s = n + 40.\n5. Substitute n = e + 6 to s, which gives s = e + 46.\n6. Substitute e = 11 to s, which gives s = 57.\n\nThus, the final answer is s = \\boxed{57}.",
"index": 13064,
"question": "Consider a system of variables where each variable is defined as follows: d = o + 16; n = e + 6; x = r + 6; s = d + 8; f = q + 6; r = f + 5; q = c + 14; e = 11; l = x + 6; u = n + 7; c = e + 9; o = y + 5; y = u + 4. If e = 11, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"t": "s + 7", "w": "t + 5", "x": "w + 17", "u": "x + 3", "m": "u + 7", "z": "m + 15", "c": "s + 16", "i": "c + 11", "v": "i + 20", "g": "v + 20", "y": "g + 8", "f": "y + 7", "s": 20}, "premises": {"s": 20}, "target": "z"}, "answer": {"steps": [["m", "u + 7", "u + 22"], ["u", "x + 3", "x + 25"], ["x", "w + 17", "w + 42"], ["w", "t + 5", "t + 47"], ["t", "s + 7", "s + 54"], ["s", 20, "74"]], "target_var_name": "z", "target_value": 74, "value_dict": {"s": 20}, "is_reverse": true}} | 13,065 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = s + 7; z = m + 15; m = u + 7; s = 20; g = v + 20; f = y + 7; i = c + 11; w = t + 5; x = w + 17; c = s + 16; y = g + 8; v = i + 20; u = x + 3. If s = 20, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = u + 7 to z, which gives z = u + 22.\n2. Substitute u = x + 3 to z, which gives z = x + 25.\n3. Substitute x = w + 17 to z, which gives z = w + 42.\n4. Substitute w = t + 5 to z, which gives z = t + 47.\n5. Substitute t = s + 7 to z, which gives z = s + 54.\n6. Substitute s = 20 to z, which gives z = 74.\n\nThus, the final answer is z = \\boxed{74}.",
"index": 13065,
"question": "Consider a system of variables where each variable is defined as follows: t = s + 7; z = m + 15; m = u + 7; s = 20; g = v + 20; f = y + 7; i = c + 11; w = t + 5; x = w + 17; c = s + 16; y = g + 8; v = i + 20; u = x + 3. If s = 20, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"h": "m + 11", "g": "h + 5", "b": "g + 16", "c": "b + 11", "e": "c + 9", "s": "e + 12", "r": "m + 5", "l": "r + 2", "f": "l + 8", "o": "f + 12", "a": "o + 15", "d": "a + 18", "m": 19}, "premises": {"m": 19}, "target": "s"}, "answer": {"steps": [["e", "c + 9", "c + 21"], ["c", "b + 11", "b + 32"], ["b", "g + 16", "g + 48"], ["g", "h + 5", "h + 53"], ["h", "m + 11", "m + 64"], ["m", 19, "83"]], "target_var_name": "s", "target_value": 83, "value_dict": {"m": 19}, "is_reverse": true}} | 13,066 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = b + 11; l = r + 2; o = f + 12; e = c + 9; s = e + 12; f = l + 8; m = 19; r = m + 5; a = o + 15; g = h + 5; b = g + 16; d = a + 18; h = m + 11. If m = 19, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = c + 9 to s, which gives s = c + 21.\n2. Substitute c = b + 11 to s, which gives s = b + 32.\n3. Substitute b = g + 16 to s, which gives s = g + 48.\n4. Substitute g = h + 5 to s, which gives s = h + 53.\n5. Substitute h = m + 11 to s, which gives s = m + 64.\n6. Substitute m = 19 to s, which gives s = 83.\n\nThus, the final answer is s = \\boxed{83}.",
"index": 13066,
"question": "Consider a system of variables where each variable is defined as follows: c = b + 11; l = r + 2; o = f + 12; e = c + 9; s = e + 12; f = l + 8; m = 19; r = m + 5; a = o + 15; g = h + 5; b = g + 16; d = a + 18; h = m + 11. If m = 19, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"c": "f + 14", "n": "c + 10", "a": "n + 7", "q": "a + 10", "u": "q + 4", "x": "u + 19", "m": "f + 7", "b": "m + 14", "z": "b + 17", "s": "z + 7", "r": "s + 11", "p": "r + 20", "f": 2}, "premises": {"f": 2}, "target": "x"}, "answer": {"steps": [["u", "q + 4", "q + 23"], ["q", "a + 10", "a + 33"], ["a", "n + 7", "n + 40"], ["n", "c + 10", "c + 50"], ["c", "f + 14", "f + 64"], ["f", 2, "66"]], "target_var_name": "x", "target_value": 66, "value_dict": {"f": 2}, "is_reverse": true}} | 13,067 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = f + 14; p = r + 20; q = a + 10; b = m + 14; s = z + 7; x = u + 19; z = b + 17; f = 2; r = s + 11; a = n + 7; u = q + 4; m = f + 7; n = c + 10. Given that f = 2, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = q + 4 to x, which gives x = q + 23.\n2. Substitute q = a + 10 to x, which gives x = a + 33.\n3. Substitute a = n + 7 to x, which gives x = n + 40.\n4. Substitute n = c + 10 to x, which gives x = c + 50.\n5. Substitute c = f + 14 to x, which gives x = f + 64.\n6. Substitute f = 2 to x, which gives x = 66.\n\nThus, the final answer is x = \\boxed{66}.",
"index": 13067,
"question": "Suppose a collection of variables is related by the following definitions: c = f + 14; p = r + 20; q = a + 10; b = m + 14; s = z + 7; x = u + 19; z = b + 17; f = 2; r = s + 11; a = n + 7; u = q + 4; m = f + 7; n = c + 10. Given that f = 2, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"i": "s + 18", "y": "i + 16", "j": "y + 8", "t": "j + 4", "a": "t + 19", "m": "a + 11", "g": "s + 2", "u": "g + 1", "h": "u + 7", "l": "h + 20", "d": "l + 19", "z": "d + 6", "s": 1}, "premises": {"s": 1}, "target": "m"}, "answer": {"steps": [["a", "t + 19", "t + 30"], ["t", "j + 4", "j + 34"], ["j", "y + 8", "y + 42"], ["y", "i + 16", "i + 58"], ["i", "s + 18", "s + 76"], ["s", 1, "77"]], "target_var_name": "m", "target_value": 77, "value_dict": {"s": 1}, "is_reverse": true}} | 13,068 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = l + 19; t = j + 4; m = a + 11; s = 1; z = d + 6; h = u + 7; y = i + 16; a = t + 19; u = g + 1; g = s + 2; i = s + 18; l = h + 20; j = y + 8. If s = 1, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = t + 19 to m, which gives m = t + 30.\n2. Substitute t = j + 4 to m, which gives m = j + 34.\n3. Substitute j = y + 8 to m, which gives m = y + 42.\n4. Substitute y = i + 16 to m, which gives m = i + 58.\n5. Substitute i = s + 18 to m, which gives m = s + 76.\n6. Substitute s = 1 to m, which gives m = 77.\n\nThus, the final answer is m = \\boxed{77}.",
"index": 13068,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = l + 19; t = j + 4; m = a + 11; s = 1; z = d + 6; h = u + 7; y = i + 16; a = t + 19; u = g + 1; g = s + 2; i = s + 18; l = h + 20; j = y + 8. If s = 1, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"m": "b + 4", "l": "m + 20", "f": "l + 17", "k": "f + 10", "h": "k + 6", "x": "h + 3", "o": "b + 15", "c": "o + 1", "j": "c + 2", "v": "j + 16", "s": "v + 15", "w": "s + 3", "b": 17}, "premises": {"b": 17}, "target": "x"}, "answer": {"steps": [["h", "k + 6", "k + 9"], ["k", "f + 10", "f + 19"], ["f", "l + 17", "l + 36"], ["l", "m + 20", "m + 56"], ["m", "b + 4", "b + 60"], ["b", 17, "77"]], "target_var_name": "x", "target_value": 77, "value_dict": {"b": 17}, "is_reverse": true}} | 13,069 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = j + 16; w = s + 3; s = v + 15; j = c + 2; b = 17; o = b + 15; m = b + 4; c = o + 1; l = m + 20; k = f + 10; f = l + 17; x = h + 3; h = k + 6. If b = 17, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = k + 6 to x, which gives x = k + 9.\n2. Substitute k = f + 10 to x, which gives x = f + 19.\n3. Substitute f = l + 17 to x, which gives x = l + 36.\n4. Substitute l = m + 20 to x, which gives x = m + 56.\n5. Substitute m = b + 4 to x, which gives x = b + 60.\n6. Substitute b = 17 to x, which gives x = 77.\n\nThus, the final answer is x = \\boxed{77}.",
"index": 13069,
"question": "Consider a system of variables where each variable is defined as follows: v = j + 16; w = s + 3; s = v + 15; j = c + 2; b = 17; o = b + 15; m = b + 4; c = o + 1; l = m + 20; k = f + 10; f = l + 17; x = h + 3; h = k + 6. If b = 17, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"l": "x + 3", "o": "l + 5", "f": "o + 14", "k": "f + 13", "i": "k + 1", "a": "i + 8", "j": "x + 17", "n": "j + 2", "d": "n + 19", "c": "d + 12", "r": "c + 5", "h": "r + 16", "x": 2}, "premises": {"x": 2}, "target": "a"}, "answer": {"steps": [["i", "k + 1", "k + 9"], ["k", "f + 13", "f + 22"], ["f", "o + 14", "o + 36"], ["o", "l + 5", "l + 41"], ["l", "x + 3", "x + 44"], ["x", 2, "46"]], "target_var_name": "a", "target_value": 46, "value_dict": {"x": 2}, "is_reverse": true}} | 13,070 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = c + 5; f = o + 14; k = f + 13; d = n + 19; x = 2; i = k + 1; j = x + 17; h = r + 16; o = l + 5; l = x + 3; n = j + 2; a = i + 8; c = d + 12. If x = 2, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = k + 1 to a, which gives a = k + 9.\n2. Substitute k = f + 13 to a, which gives a = f + 22.\n3. Substitute f = o + 14 to a, which gives a = o + 36.\n4. Substitute o = l + 5 to a, which gives a = l + 41.\n5. Substitute l = x + 3 to a, which gives a = x + 44.\n6. Substitute x = 2 to a, which gives a = 46.\n\nThus, the final answer is a = \\boxed{46}.",
"index": 13070,
"question": "Consider a system of variables where each variable is defined as follows: r = c + 5; f = o + 14; k = f + 13; d = n + 19; x = 2; i = k + 1; j = x + 17; h = r + 16; o = l + 5; l = x + 3; n = j + 2; a = i + 8; c = d + 12. If x = 2, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"e": "d + 16", "g": "e + 6", "c": "g + 5", "z": "c + 6", "a": "z + 1", "k": "a + 14", "q": "d + 2", "n": "q + 1", "u": "n + 1", "b": "u + 7", "t": "b + 4", "y": "t + 1", "d": 14}, "premises": {"d": 14}, "target": "k"}, "answer": {"steps": [["a", "z + 1", "z + 15"], ["z", "c + 6", "c + 21"], ["c", "g + 5", "g + 26"], ["g", "e + 6", "e + 32"], ["e", "d + 16", "d + 48"], ["d", 14, "62"]], "target_var_name": "k", "target_value": 62, "value_dict": {"d": 14}, "is_reverse": true}} | 13,071 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = 14; b = u + 7; u = n + 1; t = b + 4; n = q + 1; a = z + 1; g = e + 6; y = t + 1; z = c + 6; e = d + 16; k = a + 14; c = g + 5; q = d + 2. If d = 14, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = z + 1 to k, which gives k = z + 15.\n2. Substitute z = c + 6 to k, which gives k = c + 21.\n3. Substitute c = g + 5 to k, which gives k = g + 26.\n4. Substitute g = e + 6 to k, which gives k = e + 32.\n5. Substitute e = d + 16 to k, which gives k = d + 48.\n6. Substitute d = 14 to k, which gives k = 62.\n\nThus, the final answer is k = \\boxed{62}.",
"index": 13071,
"question": "Consider a system of variables where each variable is defined as follows: d = 14; b = u + 7; u = n + 1; t = b + 4; n = q + 1; a = z + 1; g = e + 6; y = t + 1; z = c + 6; e = d + 16; k = a + 14; c = g + 5; q = d + 2. If d = 14, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"o": "e + 3", "b": "o + 7", "y": "b + 7", "j": "y + 1", "q": "j + 4", "k": "q + 17", "p": "e + 4", "s": "p + 13", "w": "s + 10", "a": "w + 19", "f": "a + 19", "x": "f + 17", "e": 8}, "premises": {"e": 8}, "target": "k"}, "answer": {"steps": [["q", "j + 4", "j + 21"], ["j", "y + 1", "y + 22"], ["y", "b + 7", "b + 29"], ["b", "o + 7", "o + 36"], ["o", "e + 3", "e + 39"], ["e", 8, "47"]], "target_var_name": "k", "target_value": 47, "value_dict": {"e": 8}, "is_reverse": true}} | 13,072 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = o + 7; o = e + 3; y = b + 7; q = j + 4; k = q + 17; f = a + 19; x = f + 17; s = p + 13; e = 8; p = e + 4; j = y + 1; w = s + 10; a = w + 19. If e = 8, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = j + 4 to k, which gives k = j + 21.\n2. Substitute j = y + 1 to k, which gives k = y + 22.\n3. Substitute y = b + 7 to k, which gives k = b + 29.\n4. Substitute b = o + 7 to k, which gives k = o + 36.\n5. Substitute o = e + 3 to k, which gives k = e + 39.\n6. Substitute e = 8 to k, which gives k = 47.\n\nThus, the final answer is k = \\boxed{47}.",
"index": 13072,
"question": "Consider a system of variables where each variable is defined as follows: b = o + 7; o = e + 3; y = b + 7; q = j + 4; k = q + 17; f = a + 19; x = f + 17; s = p + 13; e = 8; p = e + 4; j = y + 1; w = s + 10; a = w + 19. If e = 8, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"a": "n + 14", "p": "a + 5", "o": "p + 17", "q": "o + 6", "v": "q + 18", "k": "v + 14", "i": "n + 5", "l": "i + 4", "g": "l + 18", "x": "g + 15", "c": "x + 5", "f": "c + 11", "n": 7}, "premises": {"n": 7}, "target": "k"}, "answer": {"steps": [["v", "q + 18", "q + 32"], ["q", "o + 6", "o + 38"], ["o", "p + 17", "p + 55"], ["p", "a + 5", "a + 60"], ["a", "n + 14", "n + 74"], ["n", 7, "81"]], "target_var_name": "k", "target_value": 81, "value_dict": {"n": 7}, "is_reverse": true}} | 13,073 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = n + 5; c = x + 5; l = i + 4; p = a + 5; g = l + 18; q = o + 6; k = v + 14; a = n + 14; n = 7; f = c + 11; o = p + 17; v = q + 18; x = g + 15. If n = 7, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = q + 18 to k, which gives k = q + 32.\n2. Substitute q = o + 6 to k, which gives k = o + 38.\n3. Substitute o = p + 17 to k, which gives k = p + 55.\n4. Substitute p = a + 5 to k, which gives k = a + 60.\n5. Substitute a = n + 14 to k, which gives k = n + 74.\n6. Substitute n = 7 to k, which gives k = 81.\n\nThus, the final answer is k = \\boxed{81}.",
"index": 13073,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = n + 5; c = x + 5; l = i + 4; p = a + 5; g = l + 18; q = o + 6; k = v + 14; a = n + 14; n = 7; f = c + 11; o = p + 17; v = q + 18; x = g + 15. If n = 7, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"r": "v + 17", "l": "r + 1", "p": "l + 15", "b": "p + 2", "u": "b + 14", "w": "u + 10", "x": "v + 14", "d": "x + 1", "h": "d + 16", "s": "h + 4", "k": "s + 13", "m": "k + 6", "v": 13}, "premises": {"v": 13}, "target": "w"}, "answer": {"steps": [["u", "b + 14", "b + 24"], ["b", "p + 2", "p + 26"], ["p", "l + 15", "l + 41"], ["l", "r + 1", "r + 42"], ["r", "v + 17", "v + 59"], ["v", 13, "72"]], "target_var_name": "w", "target_value": 72, "value_dict": {"v": 13}, "is_reverse": true}} | 13,074 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = u + 10; h = d + 16; r = v + 17; b = p + 2; p = l + 15; v = 13; x = v + 14; d = x + 1; k = s + 13; u = b + 14; l = r + 1; s = h + 4; m = k + 6. If v = 13, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = b + 14 to w, which gives w = b + 24.\n2. Substitute b = p + 2 to w, which gives w = p + 26.\n3. Substitute p = l + 15 to w, which gives w = l + 41.\n4. Substitute l = r + 1 to w, which gives w = r + 42.\n5. Substitute r = v + 17 to w, which gives w = v + 59.\n6. Substitute v = 13 to w, which gives w = 72.\n\nThus, the final answer is w = \\boxed{72}.",
"index": 13074,
"question": "Consider a system of variables where each variable is defined as follows: w = u + 10; h = d + 16; r = v + 17; b = p + 2; p = l + 15; v = 13; x = v + 14; d = x + 1; k = s + 13; u = b + 14; l = r + 1; s = h + 4; m = k + 6. If v = 13, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"g": "q + 11", "n": "g + 19", "k": "n + 14", "c": "k + 4", "v": "c + 5", "o": "v + 1", "a": "q + 1", "i": "a + 1", "h": "i + 17", "s": "h + 16", "d": "s + 17", "u": "d + 13", "q": 12}, "premises": {"q": 12}, "target": "o"}, "answer": {"steps": [["v", "c + 5", "c + 6"], ["c", "k + 4", "k + 10"], ["k", "n + 14", "n + 24"], ["n", "g + 19", "g + 43"], ["g", "q + 11", "q + 54"], ["q", 12, "66"]], "target_var_name": "o", "target_value": 66, "value_dict": {"q": 12}, "is_reverse": true}} | 13,075 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = 12; i = a + 1; h = i + 17; n = g + 19; o = v + 1; d = s + 17; g = q + 11; c = k + 4; v = c + 5; k = n + 14; u = d + 13; s = h + 16; a = q + 1. Given that q = 12, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = c + 5 to o, which gives o = c + 6.\n2. Substitute c = k + 4 to o, which gives o = k + 10.\n3. Substitute k = n + 14 to o, which gives o = n + 24.\n4. Substitute n = g + 19 to o, which gives o = g + 43.\n5. Substitute g = q + 11 to o, which gives o = q + 54.\n6. Substitute q = 12 to o, which gives o = 66.\n\nThus, the final answer is o = \\boxed{66}.",
"index": 13075,
"question": "Suppose a collection of variables is related by the following definitions: q = 12; i = a + 1; h = i + 17; n = g + 19; o = v + 1; d = s + 17; g = q + 11; c = k + 4; v = c + 5; k = n + 14; u = d + 13; s = h + 16; a = q + 1. Given that q = 12, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"v": "c + 16", "b": "v + 7", "p": "b + 6", "z": "p + 7", "d": "z + 19", "h": "d + 6", "l": "c + 6", "i": "l + 20", "w": "i + 8", "x": "w + 13", "a": "x + 8", "n": "a + 16", "c": 5}, "premises": {"c": 5}, "target": "h"}, "answer": {"steps": [["d", "z + 19", "z + 25"], ["z", "p + 7", "p + 32"], ["p", "b + 6", "b + 38"], ["b", "v + 7", "v + 45"], ["v", "c + 16", "c + 61"], ["c", 5, "66"]], "target_var_name": "h", "target_value": 66, "value_dict": {"c": 5}, "is_reverse": true}} | 13,076 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = l + 20; l = c + 6; b = v + 7; w = i + 8; z = p + 7; a = x + 8; d = z + 19; p = b + 6; h = d + 6; n = a + 16; x = w + 13; c = 5; v = c + 16. If c = 5, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = z + 19 to h, which gives h = z + 25.\n2. Substitute z = p + 7 to h, which gives h = p + 32.\n3. Substitute p = b + 6 to h, which gives h = b + 38.\n4. Substitute b = v + 7 to h, which gives h = v + 45.\n5. Substitute v = c + 16 to h, which gives h = c + 61.\n6. Substitute c = 5 to h, which gives h = 66.\n\nThus, the final answer is h = \\boxed{66}.",
"index": 13076,
"question": "Consider a system of variables where each variable is defined as follows: i = l + 20; l = c + 6; b = v + 7; w = i + 8; z = p + 7; a = x + 8; d = z + 19; p = b + 6; h = d + 6; n = a + 16; x = w + 13; c = 5; v = c + 16. If c = 5, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"e": "r + 4", "v": "e + 10", "t": "v + 5", "d": "t + 6", "y": "d + 3", "p": "y + 6", "m": "r + 8", "w": "m + 12", "x": "w + 9", "n": "x + 7", "c": "n + 9", "z": "c + 3", "r": 8}, "premises": {"r": 8}, "target": "p"}, "answer": {"steps": [["y", "d + 3", "d + 9"], ["d", "t + 6", "t + 15"], ["t", "v + 5", "v + 20"], ["v", "e + 10", "e + 30"], ["e", "r + 4", "r + 34"], ["r", 8, "42"]], "target_var_name": "p", "target_value": 42, "value_dict": {"r": 8}, "is_reverse": true}} | 13,077 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = t + 6; y = d + 3; r = 8; n = x + 7; z = c + 3; p = y + 6; e = r + 4; m = r + 8; v = e + 10; x = w + 9; t = v + 5; w = m + 12; c = n + 9. If r = 8, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 42,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = d + 3 to p, which gives p = d + 9.\n2. Substitute d = t + 6 to p, which gives p = t + 15.\n3. Substitute t = v + 5 to p, which gives p = v + 20.\n4. Substitute v = e + 10 to p, which gives p = e + 30.\n5. Substitute e = r + 4 to p, which gives p = r + 34.\n6. Substitute r = 8 to p, which gives p = 42.\n\nThus, the final answer is p = \\boxed{42}.",
"index": 13077,
"question": "Consider a system of variables where each variable is defined as follows: d = t + 6; y = d + 3; r = 8; n = x + 7; z = c + 3; p = y + 6; e = r + 4; m = r + 8; v = e + 10; x = w + 9; t = v + 5; w = m + 12; c = n + 9. If r = 8, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"y": "i + 3", "n": "y + 20", "u": "n + 8", "w": "u + 9", "v": "w + 18", "o": "v + 16", "x": "i + 12", "g": "x + 15", "m": "g + 7", "c": "m + 7", "l": "c + 9", "d": "l + 6", "i": 2}, "premises": {"i": 2}, "target": "o"}, "answer": {"steps": [["v", "w + 18", "w + 34"], ["w", "u + 9", "u + 43"], ["u", "n + 8", "n + 51"], ["n", "y + 20", "y + 71"], ["y", "i + 3", "i + 74"], ["i", 2, "76"]], "target_var_name": "o", "target_value": 76, "value_dict": {"i": 2}, "is_reverse": true}} | 13,078 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = l + 6; y = i + 3; x = i + 12; l = c + 9; i = 2; m = g + 7; o = v + 16; g = x + 15; u = n + 8; w = u + 9; n = y + 20; v = w + 18; c = m + 7. Given that i = 2, find 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 v = w + 18 to o, which gives o = w + 34.\n2. Substitute w = u + 9 to o, which gives o = u + 43.\n3. Substitute u = n + 8 to o, which gives o = n + 51.\n4. Substitute n = y + 20 to o, which gives o = y + 71.\n5. Substitute y = i + 3 to o, which gives o = i + 74.\n6. Substitute i = 2 to o, which gives o = 76.\n\nThus, the final answer is o = \\boxed{76}.",
"index": 13078,
"question": "Suppose a collection of variables is related by the following definitions: d = l + 6; y = i + 3; x = i + 12; l = c + 9; i = 2; m = g + 7; o = v + 16; g = x + 15; u = n + 8; w = u + 9; n = y + 20; v = w + 18; c = m + 7. Given that i = 2, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"u": "d + 5", "a": "u + 6", "e": "a + 1", "w": "e + 12", "l": "w + 19", "x": "l + 20", "y": "d + 3", "k": "y + 18", "o": "k + 18", "r": "o + 1", "z": "r + 6", "v": "z + 17", "d": 14}, "premises": {"d": 14}, "target": "x"}, "answer": {"steps": [["l", "w + 19", "w + 39"], ["w", "e + 12", "e + 51"], ["e", "a + 1", "a + 52"], ["a", "u + 6", "u + 58"], ["u", "d + 5", "d + 63"], ["d", 14, "77"]], "target_var_name": "x", "target_value": 77, "value_dict": {"d": 14}, "is_reverse": true}} | 13,079 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = u + 6; w = e + 12; d = 14; l = w + 19; k = y + 18; x = l + 20; v = z + 17; r = o + 1; z = r + 6; u = d + 5; y = d + 3; e = a + 1; o = k + 18. If d = 14, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = w + 19 to x, which gives x = w + 39.\n2. Substitute w = e + 12 to x, which gives x = e + 51.\n3. Substitute e = a + 1 to x, which gives x = a + 52.\n4. Substitute a = u + 6 to x, which gives x = u + 58.\n5. Substitute u = d + 5 to x, which gives x = d + 63.\n6. Substitute d = 14 to x, which gives x = 77.\n\nThus, the final answer is x = \\boxed{77}.",
"index": 13079,
"question": "Consider a system of variables where each variable is defined as follows: a = u + 6; w = e + 12; d = 14; l = w + 19; k = y + 18; x = l + 20; v = z + 17; r = o + 1; z = r + 6; u = d + 5; y = d + 3; e = a + 1; o = k + 18. If d = 14, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"m": "x + 16", "j": "m + 16", "l": "j + 3", "g": "l + 14", "d": "g + 3", "s": "d + 20", "c": "x + 5", "o": "c + 14", "t": "o + 1", "y": "t + 16", "r": "y + 12", "v": "r + 19", "x": 4}, "premises": {"x": 4}, "target": "s"}, "answer": {"steps": [["d", "g + 3", "g + 23"], ["g", "l + 14", "l + 37"], ["l", "j + 3", "j + 40"], ["j", "m + 16", "m + 56"], ["m", "x + 16", "x + 72"], ["x", 4, "76"]], "target_var_name": "s", "target_value": 76, "value_dict": {"x": 4}, "is_reverse": true}} | 13,080 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = x + 16; l = j + 3; r = y + 12; y = t + 16; j = m + 16; c = x + 5; o = c + 14; g = l + 14; v = r + 19; x = 4; s = d + 20; t = o + 1; d = g + 3. If x = 4, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = g + 3 to s, which gives s = g + 23.\n2. Substitute g = l + 14 to s, which gives s = l + 37.\n3. Substitute l = j + 3 to s, which gives s = j + 40.\n4. Substitute j = m + 16 to s, which gives s = m + 56.\n5. Substitute m = x + 16 to s, which gives s = x + 72.\n6. Substitute x = 4 to s, which gives s = 76.\n\nThus, the final answer is s = \\boxed{76}.",
"index": 13080,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = x + 16; l = j + 3; r = y + 12; y = t + 16; j = m + 16; c = x + 5; o = c + 14; g = l + 14; v = r + 19; x = 4; s = d + 20; t = o + 1; d = g + 3. If x = 4, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"e": "d + 16", "r": "e + 16", "t": "r + 1", "s": "t + 2", "v": "s + 3", "b": "v + 3", "g": "d + 19", "f": "g + 1", "c": "f + 16", "w": "c + 10", "p": "w + 6", "l": "p + 13", "d": 20}, "premises": {"d": 20}, "target": "b"}, "answer": {"steps": [["v", "s + 3", "s + 6"], ["s", "t + 2", "t + 8"], ["t", "r + 1", "r + 9"], ["r", "e + 16", "e + 25"], ["e", "d + 16", "d + 41"], ["d", 20, "61"]], "target_var_name": "b", "target_value": 61, "value_dict": {"d": 20}, "is_reverse": true}} | 13,081 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = s + 3; g = d + 19; e = d + 16; d = 20; l = p + 13; t = r + 1; s = t + 2; f = g + 1; c = f + 16; w = c + 10; b = v + 3; p = w + 6; r = e + 16. If d = 20, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = s + 3 to b, which gives b = s + 6.\n2. Substitute s = t + 2 to b, which gives b = t + 8.\n3. Substitute t = r + 1 to b, which gives b = r + 9.\n4. Substitute r = e + 16 to b, which gives b = e + 25.\n5. Substitute e = d + 16 to b, which gives b = d + 41.\n6. Substitute d = 20 to b, which gives b = 61.\n\nThus, the final answer is b = \\boxed{61}.",
"index": 13081,
"question": "Consider a system of variables where each variable is defined as follows: v = s + 3; g = d + 19; e = d + 16; d = 20; l = p + 13; t = r + 1; s = t + 2; f = g + 1; c = f + 16; w = c + 10; b = v + 3; p = w + 6; r = e + 16. If d = 20, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"c": "p + 14", "b": "c + 13", "w": "b + 4", "j": "w + 6", "l": "j + 2", "t": "l + 10", "v": "p + 20", "y": "v + 7", "o": "y + 7", "s": "o + 19", "d": "s + 4", "f": "d + 10", "p": 6}, "premises": {"p": 6}, "target": "t"}, "answer": {"steps": [["l", "j + 2", "j + 12"], ["j", "w + 6", "w + 18"], ["w", "b + 4", "b + 22"], ["b", "c + 13", "c + 35"], ["c", "p + 14", "p + 49"], ["p", 6, "55"]], "target_var_name": "t", "target_value": 55, "value_dict": {"p": 6}, "is_reverse": true}} | 13,082 | 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 = j + 2; c = p + 14; b = c + 13; p = 6; o = y + 7; w = b + 4; v = p + 20; s = o + 19; t = l + 10; y = v + 7; d = s + 4; f = d + 10; j = w + 6. If p = 6, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = j + 2 to t, which gives t = j + 12.\n2. Substitute j = w + 6 to t, which gives t = w + 18.\n3. Substitute w = b + 4 to t, which gives t = b + 22.\n4. Substitute b = c + 13 to t, which gives t = c + 35.\n5. Substitute c = p + 14 to t, which gives t = p + 49.\n6. Substitute p = 6 to t, which gives t = 55.\n\nThus, the final answer is t = \\boxed{55}.",
"index": 13082,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = j + 2; c = p + 14; b = c + 13; p = 6; o = y + 7; w = b + 4; v = p + 20; s = o + 19; t = l + 10; y = v + 7; d = s + 4; f = d + 10; j = w + 6. If p = 6, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"f": "o + 6", "m": "f + 16", "k": "m + 14", "x": "k + 4", "b": "x + 6", "q": "b + 4", "i": "o + 13", "s": "i + 17", "r": "s + 11", "z": "r + 15", "n": "z + 7", "a": "n + 12", "o": 13}, "premises": {"o": 13}, "target": "q"}, "answer": {"steps": [["b", "x + 6", "x + 10"], ["x", "k + 4", "k + 14"], ["k", "m + 14", "m + 28"], ["m", "f + 16", "f + 44"], ["f", "o + 6", "o + 50"], ["o", 13, "63"]], "target_var_name": "q", "target_value": 63, "value_dict": {"o": 13}, "is_reverse": true}} | 13,083 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = r + 15; b = x + 6; o = 13; m = f + 16; s = i + 17; a = n + 12; i = o + 13; x = k + 4; k = m + 14; q = b + 4; r = s + 11; f = o + 6; n = z + 7. If o = 13, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = x + 6 to q, which gives q = x + 10.\n2. Substitute x = k + 4 to q, which gives q = k + 14.\n3. Substitute k = m + 14 to q, which gives q = m + 28.\n4. Substitute m = f + 16 to q, which gives q = f + 44.\n5. Substitute f = o + 6 to q, which gives q = o + 50.\n6. Substitute o = 13 to q, which gives q = 63.\n\nThus, the final answer is q = \\boxed{63}.",
"index": 13083,
"question": "Consider a system of variables where each variable is defined as follows: z = r + 15; b = x + 6; o = 13; m = f + 16; s = i + 17; a = n + 12; i = o + 13; x = k + 4; k = m + 14; q = b + 4; r = s + 11; f = o + 6; n = z + 7. If o = 13, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"v": "x + 8", "k": "v + 6", "s": "k + 15", "m": "s + 14", "q": "m + 15", "r": "q + 17", "f": "x + 3", "b": "f + 10", "l": "b + 15", "g": "l + 12", "a": "g + 10", "y": "a + 14", "x": 6}, "premises": {"x": 6}, "target": "r"}, "answer": {"steps": [["q", "m + 15", "m + 32"], ["m", "s + 14", "s + 46"], ["s", "k + 15", "k + 61"], ["k", "v + 6", "v + 67"], ["v", "x + 8", "x + 75"], ["x", 6, "81"]], "target_var_name": "r", "target_value": 81, "value_dict": {"x": 6}, "is_reverse": true}} | 13,084 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = v + 6; q = m + 15; m = s + 14; g = l + 12; a = g + 10; b = f + 10; v = x + 8; f = x + 3; r = q + 17; l = b + 15; x = 6; s = k + 15; y = a + 14. Given that x = 6, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = m + 15 to r, which gives r = m + 32.\n2. Substitute m = s + 14 to r, which gives r = s + 46.\n3. Substitute s = k + 15 to r, which gives r = k + 61.\n4. Substitute k = v + 6 to r, which gives r = v + 67.\n5. Substitute v = x + 8 to r, which gives r = x + 75.\n6. Substitute x = 6 to r, which gives r = 81.\n\nThus, the final answer is r = \\boxed{81}.",
"index": 13084,
"question": "Suppose a collection of variables is related by the following definitions: k = v + 6; q = m + 15; m = s + 14; g = l + 12; a = g + 10; b = f + 10; v = x + 8; f = x + 3; r = q + 17; l = b + 15; x = 6; s = k + 15; y = a + 14. Given that x = 6, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"j": "x + 2", "v": "j + 7", "w": "v + 18", "e": "w + 16", "a": "e + 19", "d": "a + 7", "b": "x + 17", "p": "b + 20", "g": "p + 16", "s": "g + 10", "i": "s + 18", "t": "i + 8", "x": 5}, "premises": {"x": 5}, "target": "d"}, "answer": {"steps": [["a", "e + 19", "e + 26"], ["e", "w + 16", "w + 42"], ["w", "v + 18", "v + 60"], ["v", "j + 7", "j + 67"], ["j", "x + 2", "x + 69"], ["x", 5, "74"]], "target_var_name": "d", "target_value": 74, "value_dict": {"x": 5}, "is_reverse": true}} | 13,085 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = i + 8; w = v + 18; g = p + 16; i = s + 18; a = e + 19; v = j + 7; p = b + 20; e = w + 16; b = x + 17; s = g + 10; d = a + 7; j = x + 2; x = 5. If x = 5, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = e + 19 to d, which gives d = e + 26.\n2. Substitute e = w + 16 to d, which gives d = w + 42.\n3. Substitute w = v + 18 to d, which gives d = v + 60.\n4. Substitute v = j + 7 to d, which gives d = j + 67.\n5. Substitute j = x + 2 to d, which gives d = x + 69.\n6. Substitute x = 5 to d, which gives d = 74.\n\nThus, the final answer is d = \\boxed{74}.",
"index": 13085,
"question": "Consider a system of variables where each variable is defined as follows: t = i + 8; w = v + 18; g = p + 16; i = s + 18; a = e + 19; v = j + 7; p = b + 20; e = w + 16; b = x + 17; s = g + 10; d = a + 7; j = x + 2; x = 5. If x = 5, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"i": "w + 8", "z": "i + 8", "s": "z + 1", "o": "s + 5", "d": "o + 10", "v": "d + 12", "y": "w + 18", "h": "y + 20", "x": "h + 13", "b": "x + 13", "f": "b + 13", "r": "f + 14", "w": 3}, "premises": {"w": 3}, "target": "v"}, "answer": {"steps": [["d", "o + 10", "o + 22"], ["o", "s + 5", "s + 27"], ["s", "z + 1", "z + 28"], ["z", "i + 8", "i + 36"], ["i", "w + 8", "w + 44"], ["w", 3, "47"]], "target_var_name": "v", "target_value": 47, "value_dict": {"w": 3}, "is_reverse": true}} | 13,086 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = i + 8; s = z + 1; b = x + 13; w = 3; o = s + 5; i = w + 8; y = w + 18; v = d + 12; h = y + 20; r = f + 14; d = o + 10; f = b + 13; x = h + 13. If w = 3, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = o + 10 to v, which gives v = o + 22.\n2. Substitute o = s + 5 to v, which gives v = s + 27.\n3. Substitute s = z + 1 to v, which gives v = z + 28.\n4. Substitute z = i + 8 to v, which gives v = i + 36.\n5. Substitute i = w + 8 to v, which gives v = w + 44.\n6. Substitute w = 3 to v, which gives v = 47.\n\nThus, the final answer is v = \\boxed{47}.",
"index": 13086,
"question": "Consider a system of variables where each variable is defined as follows: z = i + 8; s = z + 1; b = x + 13; w = 3; o = s + 5; i = w + 8; y = w + 18; v = d + 12; h = y + 20; r = f + 14; d = o + 10; f = b + 13; x = h + 13. If w = 3, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"q": "y + 3", "i": "q + 1", "j": "i + 3", "f": "j + 6", "e": "f + 7", "g": "e + 20", "u": "y + 11", "h": "u + 14", "z": "h + 15", "k": "z + 7", "t": "k + 18", "d": "t + 13", "y": 11}, "premises": {"y": 11}, "target": "g"}, "answer": {"steps": [["e", "f + 7", "f + 27"], ["f", "j + 6", "j + 33"], ["j", "i + 3", "i + 36"], ["i", "q + 1", "q + 37"], ["q", "y + 3", "y + 40"], ["y", 11, "51"]], "target_var_name": "g", "target_value": 51, "value_dict": {"y": 11}, "is_reverse": true}} | 13,087 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = i + 3; u = y + 11; q = y + 3; g = e + 20; h = u + 14; i = q + 1; y = 11; e = f + 7; d = t + 13; f = j + 6; z = h + 15; t = k + 18; k = z + 7. Given that y = 11, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = f + 7 to g, which gives g = f + 27.\n2. Substitute f = j + 6 to g, which gives g = j + 33.\n3. Substitute j = i + 3 to g, which gives g = i + 36.\n4. Substitute i = q + 1 to g, which gives g = q + 37.\n5. Substitute q = y + 3 to g, which gives g = y + 40.\n6. Substitute y = 11 to g, which gives g = 51.\n\nThus, the final answer is g = \\boxed{51}.",
"index": 13087,
"question": "Suppose a collection of variables is related by the following definitions: j = i + 3; u = y + 11; q = y + 3; g = e + 20; h = u + 14; i = q + 1; y = 11; e = f + 7; d = t + 13; f = j + 6; z = h + 15; t = k + 18; k = z + 7. Given that y = 11, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"t": "v + 18", "m": "t + 1", "o": "m + 13", "h": "o + 3", "s": "h + 12", "k": "s + 5", "j": "v + 7", "e": "j + 10", "w": "e + 13", "q": "w + 13", "a": "q + 9", "f": "a + 7", "v": 6}, "premises": {"v": 6}, "target": "k"}, "answer": {"steps": [["s", "h + 12", "h + 17"], ["h", "o + 3", "o + 20"], ["o", "m + 13", "m + 33"], ["m", "t + 1", "t + 34"], ["t", "v + 18", "v + 52"], ["v", 6, "58"]], "target_var_name": "k", "target_value": 58, "value_dict": {"v": 6}, "is_reverse": true}} | 13,088 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = q + 9; h = o + 3; w = e + 13; s = h + 12; o = m + 13; m = t + 1; v = 6; k = s + 5; t = v + 18; f = a + 7; q = w + 13; j = v + 7; e = j + 10. Given that v = 6, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = h + 12 to k, which gives k = h + 17.\n2. Substitute h = o + 3 to k, which gives k = o + 20.\n3. Substitute o = m + 13 to k, which gives k = m + 33.\n4. Substitute m = t + 1 to k, which gives k = t + 34.\n5. Substitute t = v + 18 to k, which gives k = v + 52.\n6. Substitute v = 6 to k, which gives k = 58.\n\nThus, the final answer is k = \\boxed{58}.",
"index": 13088,
"question": "Suppose a collection of variables is related by the following definitions: a = q + 9; h = o + 3; w = e + 13; s = h + 12; o = m + 13; m = t + 1; v = 6; k = s + 5; t = v + 18; f = a + 7; q = w + 13; j = v + 7; e = j + 10. Given that v = 6, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"j": "w + 19", "r": "j + 2", "e": "r + 2", "f": "e + 14", "d": "f + 13", "i": "d + 20", "u": "w + 17", "t": "u + 14", "o": "t + 7", "k": "o + 14", "n": "k + 9", "x": "n + 14", "w": 18}, "premises": {"w": 18}, "target": "i"}, "answer": {"steps": [["d", "f + 13", "f + 33"], ["f", "e + 14", "e + 47"], ["e", "r + 2", "r + 49"], ["r", "j + 2", "j + 51"], ["j", "w + 19", "w + 70"], ["w", 18, "88"]], "target_var_name": "i", "target_value": 88, "value_dict": {"w": 18}, "is_reverse": true}} | 13,089 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = o + 14; i = d + 20; j = w + 19; x = n + 14; w = 18; f = e + 14; u = w + 17; t = u + 14; d = f + 13; e = r + 2; r = j + 2; n = k + 9; o = t + 7. If w = 18, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = f + 13 to i, which gives i = f + 33.\n2. Substitute f = e + 14 to i, which gives i = e + 47.\n3. Substitute e = r + 2 to i, which gives i = r + 49.\n4. Substitute r = j + 2 to i, which gives i = j + 51.\n5. Substitute j = w + 19 to i, which gives i = w + 70.\n6. Substitute w = 18 to i, which gives i = 88.\n\nThus, the final answer is i = \\boxed{88}.",
"index": 13089,
"question": "Consider a system of variables where each variable is defined as follows: k = o + 14; i = d + 20; j = w + 19; x = n + 14; w = 18; f = e + 14; u = w + 17; t = u + 14; d = f + 13; e = r + 2; r = j + 2; n = k + 9; o = t + 7. If w = 18, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"m": "f + 1", "h": "m + 2", "y": "h + 13", "o": "y + 15", "c": "o + 16", "s": "c + 18", "i": "f + 2", "t": "i + 16", "e": "t + 15", "b": "e + 2", "u": "b + 6", "q": "u + 4", "f": 10}, "premises": {"f": 10}, "target": "s"}, "answer": {"steps": [["c", "o + 16", "o + 34"], ["o", "y + 15", "y + 49"], ["y", "h + 13", "h + 62"], ["h", "m + 2", "m + 64"], ["m", "f + 1", "f + 65"], ["f", 10, "75"]], "target_var_name": "s", "target_value": 75, "value_dict": {"f": 10}, "is_reverse": true}} | 13,090 | 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 = i + 16; y = h + 13; h = m + 2; f = 10; i = f + 2; u = b + 6; m = f + 1; q = u + 4; b = e + 2; s = c + 18; c = o + 16; e = t + 15; o = y + 15. If f = 10, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = o + 16 to s, which gives s = o + 34.\n2. Substitute o = y + 15 to s, which gives s = y + 49.\n3. Substitute y = h + 13 to s, which gives s = h + 62.\n4. Substitute h = m + 2 to s, which gives s = m + 64.\n5. Substitute m = f + 1 to s, which gives s = f + 65.\n6. Substitute f = 10 to s, which gives s = 75.\n\nThus, the final answer is s = \\boxed{75}.",
"index": 13090,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = i + 16; y = h + 13; h = m + 2; f = 10; i = f + 2; u = b + 6; m = f + 1; q = u + 4; b = e + 2; s = c + 18; c = o + 16; e = t + 15; o = y + 15. If f = 10, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"y": "l + 16", "o": "y + 12", "j": "o + 18", "m": "j + 19", "q": "m + 12", "c": "q + 13", "n": "l + 4", "g": "n + 10", "u": "g + 9", "v": "u + 16", "k": "v + 2", "x": "k + 16", "l": 20}, "premises": {"l": 20}, "target": "c"}, "answer": {"steps": [["q", "m + 12", "m + 25"], ["m", "j + 19", "j + 44"], ["j", "o + 18", "o + 62"], ["o", "y + 12", "y + 74"], ["y", "l + 16", "l + 90"], ["l", 20, "110"]], "target_var_name": "c", "target_value": 110, "value_dict": {"l": 20}, "is_reverse": true}} | 13,091 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = l + 16; o = y + 12; k = v + 2; g = n + 10; l = 20; q = m + 12; m = j + 19; x = k + 16; c = q + 13; v = u + 16; n = l + 4; u = g + 9; j = o + 18. If l = 20, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 110,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = m + 12 to c, which gives c = m + 25.\n2. Substitute m = j + 19 to c, which gives c = j + 44.\n3. Substitute j = o + 18 to c, which gives c = o + 62.\n4. Substitute o = y + 12 to c, which gives c = y + 74.\n5. Substitute y = l + 16 to c, which gives c = l + 90.\n6. Substitute l = 20 to c, which gives c = 110.\n\nThus, the final answer is c = \\boxed{110}.",
"index": 13091,
"question": "Consider a system of variables where each variable is defined as follows: y = l + 16; o = y + 12; k = v + 2; g = n + 10; l = 20; q = m + 12; m = j + 19; x = k + 16; c = q + 13; v = u + 16; n = l + 4; u = g + 9; j = o + 18. If l = 20, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"a": "e + 5", "l": "a + 3", "m": "l + 9", "w": "m + 5", "z": "w + 3", "j": "z + 1", "c": "e + 19", "f": "c + 15", "k": "f + 4", "o": "k + 20", "g": "o + 16", "q": "g + 18", "e": 4}, "premises": {"e": 4}, "target": "j"}, "answer": {"steps": [["z", "w + 3", "w + 4"], ["w", "m + 5", "m + 9"], ["m", "l + 9", "l + 18"], ["l", "a + 3", "a + 21"], ["a", "e + 5", "e + 26"], ["e", 4, "30"]], "target_var_name": "j", "target_value": 30, "value_dict": {"e": 4}, "is_reverse": true}} | 13,092 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = m + 5; q = g + 18; f = c + 15; l = a + 3; z = w + 3; c = e + 19; e = 4; o = k + 20; m = l + 9; j = z + 1; a = e + 5; g = o + 16; k = f + 4. If e = 4, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 30,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = w + 3 to j, which gives j = w + 4.\n2. Substitute w = m + 5 to j, which gives j = m + 9.\n3. Substitute m = l + 9 to j, which gives j = l + 18.\n4. Substitute l = a + 3 to j, which gives j = a + 21.\n5. Substitute a = e + 5 to j, which gives j = e + 26.\n6. Substitute e = 4 to j, which gives j = 30.\n\nThus, the final answer is j = \\boxed{30}.",
"index": 13092,
"question": "Consider a system of variables where each variable is defined as follows: w = m + 5; q = g + 18; f = c + 15; l = a + 3; z = w + 3; c = e + 19; e = 4; o = k + 20; m = l + 9; j = z + 1; a = e + 5; g = o + 16; k = f + 4. If e = 4, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"d": "n + 6", "m": "d + 15", "w": "m + 11", "u": "w + 12", "j": "u + 12", "g": "j + 5", "x": "n + 7", "r": "x + 1", "s": "r + 18", "e": "s + 13", "a": "e + 14", "y": "a + 20", "n": 7}, "premises": {"n": 7}, "target": "g"}, "answer": {"steps": [["j", "u + 12", "u + 17"], ["u", "w + 12", "w + 29"], ["w", "m + 11", "m + 40"], ["m", "d + 15", "d + 55"], ["d", "n + 6", "n + 61"], ["n", 7, "68"]], "target_var_name": "g", "target_value": 68, "value_dict": {"n": 7}, "is_reverse": true}} | 13,093 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = s + 13; d = n + 6; j = u + 12; n = 7; y = a + 20; u = w + 12; x = n + 7; m = d + 15; w = m + 11; s = r + 18; g = j + 5; r = x + 1; a = e + 14. Given that n = 7, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = u + 12 to g, which gives g = u + 17.\n2. Substitute u = w + 12 to g, which gives g = w + 29.\n3. Substitute w = m + 11 to g, which gives g = m + 40.\n4. Substitute m = d + 15 to g, which gives g = d + 55.\n5. Substitute d = n + 6 to g, which gives g = n + 61.\n6. Substitute n = 7 to g, which gives g = 68.\n\nThus, the final answer is g = \\boxed{68}.",
"index": 13093,
"question": "Suppose a collection of variables is related by the following definitions: e = s + 13; d = n + 6; j = u + 12; n = 7; y = a + 20; u = w + 12; x = n + 7; m = d + 15; w = m + 11; s = r + 18; g = j + 5; r = x + 1; a = e + 14. Given that n = 7, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"g": "y + 10", "r": "g + 17", "t": "r + 14", "c": "t + 2", "v": "c + 12", "d": "v + 19", "s": "y + 7", "i": "s + 12", "z": "i + 11", "n": "z + 12", "e": "n + 5", "m": "e + 2", "y": 20}, "premises": {"y": 20}, "target": "d"}, "answer": {"steps": [["v", "c + 12", "c + 31"], ["c", "t + 2", "t + 33"], ["t", "r + 14", "r + 47"], ["r", "g + 17", "g + 64"], ["g", "y + 10", "y + 74"], ["y", 20, "94"]], "target_var_name": "d", "target_value": 94, "value_dict": {"y": 20}, "is_reverse": true}} | 13,094 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = c + 12; s = y + 7; g = y + 10; z = i + 11; r = g + 17; y = 20; i = s + 12; e = n + 5; t = r + 14; m = e + 2; n = z + 12; c = t + 2; d = v + 19. If y = 20, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = c + 12 to d, which gives d = c + 31.\n2. Substitute c = t + 2 to d, which gives d = t + 33.\n3. Substitute t = r + 14 to d, which gives d = r + 47.\n4. Substitute r = g + 17 to d, which gives d = g + 64.\n5. Substitute g = y + 10 to d, which gives d = y + 74.\n6. Substitute y = 20 to d, which gives d = 94.\n\nThus, the final answer is d = \\boxed{94}.",
"index": 13094,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = c + 12; s = y + 7; g = y + 10; z = i + 11; r = g + 17; y = 20; i = s + 12; e = n + 5; t = r + 14; m = e + 2; n = z + 12; c = t + 2; d = v + 19. If y = 20, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"b": "e + 20", "t": "b + 4", "x": "t + 18", "y": "x + 7", "q": "y + 5", "h": "q + 16", "i": "e + 9", "m": "i + 4", "v": "m + 7", "g": "v + 3", "c": "g + 17", "z": "c + 20", "e": 18}, "premises": {"e": 18}, "target": "h"}, "answer": {"steps": [["q", "y + 5", "y + 21"], ["y", "x + 7", "x + 28"], ["x", "t + 18", "t + 46"], ["t", "b + 4", "b + 50"], ["b", "e + 20", "e + 70"], ["e", 18, "88"]], "target_var_name": "h", "target_value": 88, "value_dict": {"e": 18}, "is_reverse": true}} | 13,095 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = y + 5; b = e + 20; e = 18; z = c + 20; g = v + 3; v = m + 7; h = q + 16; i = e + 9; y = x + 7; t = b + 4; m = i + 4; x = t + 18; c = g + 17. If e = 18, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = y + 5 to h, which gives h = y + 21.\n2. Substitute y = x + 7 to h, which gives h = x + 28.\n3. Substitute x = t + 18 to h, which gives h = t + 46.\n4. Substitute t = b + 4 to h, which gives h = b + 50.\n5. Substitute b = e + 20 to h, which gives h = e + 70.\n6. Substitute e = 18 to h, which gives h = 88.\n\nThus, the final answer is h = \\boxed{88}.",
"index": 13095,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = y + 5; b = e + 20; e = 18; z = c + 20; g = v + 3; v = m + 7; h = q + 16; i = e + 9; y = x + 7; t = b + 4; m = i + 4; x = t + 18; c = g + 17. If e = 18, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"s": "f + 3", "y": "s + 19", "x": "y + 4", "z": "x + 5", "l": "z + 14", "k": "l + 6", "m": "f + 17", "j": "m + 20", "i": "j + 14", "b": "i + 7", "d": "b + 16", "a": "d + 3", "f": 17}, "premises": {"f": 17}, "target": "k"}, "answer": {"steps": [["l", "z + 14", "z + 20"], ["z", "x + 5", "x + 25"], ["x", "y + 4", "y + 29"], ["y", "s + 19", "s + 48"], ["s", "f + 3", "f + 51"], ["f", 17, "68"]], "target_var_name": "k", "target_value": 68, "value_dict": {"f": 17}, "is_reverse": true}} | 13,096 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = d + 3; f = 17; i = j + 14; s = f + 3; x = y + 4; m = f + 17; k = l + 6; y = s + 19; z = x + 5; d = b + 16; b = i + 7; l = z + 14; j = m + 20. If f = 17, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = z + 14 to k, which gives k = z + 20.\n2. Substitute z = x + 5 to k, which gives k = x + 25.\n3. Substitute x = y + 4 to k, which gives k = y + 29.\n4. Substitute y = s + 19 to k, which gives k = s + 48.\n5. Substitute s = f + 3 to k, which gives k = f + 51.\n6. Substitute f = 17 to k, which gives k = 68.\n\nThus, the final answer is k = \\boxed{68}.",
"index": 13096,
"question": "Consider a system of variables where each variable is defined as follows: a = d + 3; f = 17; i = j + 14; s = f + 3; x = y + 4; m = f + 17; k = l + 6; y = s + 19; z = x + 5; d = b + 16; b = i + 7; l = z + 14; j = m + 20. If f = 17, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"b": "j + 7", "x": "b + 1", "o": "x + 2", "c": "o + 20", "y": "c + 2", "w": "y + 4", "l": "j + 12", "z": "l + 1", "a": "z + 16", "f": "a + 12", "h": "f + 4", "g": "h + 17", "j": 6}, "premises": {"j": 6}, "target": "w"}, "answer": {"steps": [["y", "c + 2", "c + 6"], ["c", "o + 20", "o + 26"], ["o", "x + 2", "x + 28"], ["x", "b + 1", "b + 29"], ["b", "j + 7", "j + 36"], ["j", 6, "42"]], "target_var_name": "w", "target_value": 42, "value_dict": {"j": 6}, "is_reverse": true}} | 13,097 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = 6; o = x + 2; y = c + 2; b = j + 7; f = a + 12; w = y + 4; h = f + 4; a = z + 16; l = j + 12; c = o + 20; x = b + 1; z = l + 1; g = h + 17. Given that j = 6, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 42,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = c + 2 to w, which gives w = c + 6.\n2. Substitute c = o + 20 to w, which gives w = o + 26.\n3. Substitute o = x + 2 to w, which gives w = x + 28.\n4. Substitute x = b + 1 to w, which gives w = b + 29.\n5. Substitute b = j + 7 to w, which gives w = j + 36.\n6. Substitute j = 6 to w, which gives w = 42.\n\nThus, the final answer is w = \\boxed{42}.",
"index": 13097,
"question": "Suppose a collection of variables is related by the following definitions: j = 6; o = x + 2; y = c + 2; b = j + 7; f = a + 12; w = y + 4; h = f + 4; a = z + 16; l = j + 12; c = o + 20; x = b + 1; z = l + 1; g = h + 17. Given that j = 6, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"h": "v + 5", "r": "h + 17", "j": "r + 15", "g": "j + 10", "x": "g + 15", "k": "x + 18", "w": "v + 15", "q": "w + 8", "l": "q + 6", "m": "l + 9", "o": "m + 12", "c": "o + 6", "v": 12}, "premises": {"v": 12}, "target": "k"}, "answer": {"steps": [["x", "g + 15", "g + 33"], ["g", "j + 10", "j + 43"], ["j", "r + 15", "r + 58"], ["r", "h + 17", "h + 75"], ["h", "v + 5", "v + 80"], ["v", 12, "92"]], "target_var_name": "k", "target_value": 92, "value_dict": {"v": 12}, "is_reverse": true}} | 13,098 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = x + 18; o = m + 12; c = o + 6; q = w + 8; w = v + 15; v = 12; h = v + 5; l = q + 6; x = g + 15; m = l + 9; j = r + 15; g = j + 10; r = h + 17. If v = 12, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = g + 15 to k, which gives k = g + 33.\n2. Substitute g = j + 10 to k, which gives k = j + 43.\n3. Substitute j = r + 15 to k, which gives k = r + 58.\n4. Substitute r = h + 17 to k, which gives k = h + 75.\n5. Substitute h = v + 5 to k, which gives k = v + 80.\n6. Substitute v = 12 to k, which gives k = 92.\n\nThus, the final answer is k = \\boxed{92}.",
"index": 13098,
"question": "Consider a system of variables where each variable is defined as follows: k = x + 18; o = m + 12; c = o + 6; q = w + 8; w = v + 15; v = 12; h = v + 5; l = q + 6; x = g + 15; m = l + 9; j = r + 15; g = j + 10; r = h + 17. If v = 12, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"o": "h + 2", "z": "o + 16", "v": "z + 3", "x": "v + 4", "a": "x + 9", "m": "a + 13", "r": "h + 19", "q": "r + 12", "s": "q + 19", "p": "s + 2", "d": "p + 16", "u": "d + 8", "h": 10}, "premises": {"h": 10}, "target": "m"}, "answer": {"steps": [["a", "x + 9", "x + 22"], ["x", "v + 4", "v + 26"], ["v", "z + 3", "z + 29"], ["z", "o + 16", "o + 45"], ["o", "h + 2", "h + 47"], ["h", 10, "57"]], "target_var_name": "m", "target_value": 57, "value_dict": {"h": 10}, "is_reverse": true}} | 13,099 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = x + 9; x = v + 4; z = o + 16; h = 10; u = d + 8; q = r + 12; m = a + 13; p = s + 2; r = h + 19; d = p + 16; o = h + 2; v = z + 3; s = q + 19. If h = 10, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = x + 9 to m, which gives m = x + 22.\n2. Substitute x = v + 4 to m, which gives m = v + 26.\n3. Substitute v = z + 3 to m, which gives m = z + 29.\n4. Substitute z = o + 16 to m, which gives m = o + 45.\n5. Substitute o = h + 2 to m, which gives m = h + 47.\n6. Substitute h = 10 to m, which gives m = 57.\n\nThus, the final answer is m = \\boxed{57}.",
"index": 13099,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = x + 9; x = v + 4; z = o + 16; h = 10; u = d + 8; q = r + 12; m = a + 13; p = s + 2; r = h + 19; d = p + 16; o = h + 2; v = z + 3; s = q + 19. If h = 10, what is the resulting value of m?",
"split": "train"
} |
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