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": {"j": "c + 8", "v": "j + 16", "e": "v + 15", "w": "e + 13", "i": "w + 20", "d": "i + 19", "r": "c + 17", "q": "r + 19", "y": "q + 1", "b": "y + 16", "p": "b + 1", "g": "p + 17", "c": 4}, "premises": {"c": 4}, "target": "d"}, "answer": {"steps": [["i", "w + 20", "w + 39"], ["w", "e + 13", "e + 52"], ["e", "v + 15", "v + 67"], ["v", "j + 16", "j + 83"], ["j", "c + 8", "c + 91"], ["c", 4, "95"]], "target_var_name": "d", "target_value": 95, "value_dict": {"c": 4}, "is_reverse": true}} | 22,000 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = r + 19; y = q + 1; j = c + 8; b = y + 16; r = c + 17; p = b + 1; c = 4; i = w + 20; v = j + 16; w = e + 13; e = v + 15; d = i + 19; g = p + 17. If c = 4, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = w + 20 to d, which gives d = w + 39.\n2. Substitute w = e + 13 to d, which gives d = e + 52.\n3. Substitute e = v + 15 to d, which gives d = v + 67.\n4. Substitute v = j + 16 to d, which gives d = j + 83.\n5. Substitute j = c + 8 to d, which gives d = c + 91.\n6. Substitute c = 4 to d, which gives d = 95.\n\nThus, the final answer is d = \\boxed{95}.",
"index": 22000,
"question": "Consider a system of variables where each variable is defined as follows: q = r + 19; y = q + 1; j = c + 8; b = y + 16; r = c + 17; p = b + 1; c = 4; i = w + 20; v = j + 16; w = e + 13; e = v + 15; d = i + 19; g = p + 17. If c = 4, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"d": "r + 14", "e": "d + 14", "x": "e + 1", "i": "x + 19", "v": "i + 11", "w": "v + 18", "p": "r + 8", "m": "p + 16", "q": "m + 1", "z": "q + 10", "g": "z + 2", "b": "g + 16", "r": 4}, "premises": {"r": 4}, "target": "w"}, "answer": {"steps": [["v", "i + 11", "i + 29"], ["i", "x + 19", "x + 48"], ["x", "e + 1", "e + 49"], ["e", "d + 14", "d + 63"], ["d", "r + 14", "r + 77"], ["r", 4, "81"]], "target_var_name": "w", "target_value": 81, "value_dict": {"r": 4}, "is_reverse": true}} | 22,001 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = v + 18; m = p + 16; g = z + 2; q = m + 1; b = g + 16; r = 4; p = r + 8; z = q + 10; v = i + 11; d = r + 14; x = e + 1; i = x + 19; e = d + 14. Given that r = 4, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = i + 11 to w, which gives w = i + 29.\n2. Substitute i = x + 19 to w, which gives w = x + 48.\n3. Substitute x = e + 1 to w, which gives w = e + 49.\n4. Substitute e = d + 14 to w, which gives w = d + 63.\n5. Substitute d = r + 14 to w, which gives w = r + 77.\n6. Substitute r = 4 to w, which gives w = 81.\n\nThus, the final answer is w = \\boxed{81}.",
"index": 22001,
"question": "Suppose a collection of variables is related by the following definitions: w = v + 18; m = p + 16; g = z + 2; q = m + 1; b = g + 16; r = 4; p = r + 8; z = q + 10; v = i + 11; d = r + 14; x = e + 1; i = x + 19; e = d + 14. Given that r = 4, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"q": "p + 16", "w": "q + 19", "s": "w + 2", "y": "s + 9", "n": "y + 15", "c": "n + 17", "a": "p + 8", "v": "a + 11", "r": "v + 5", "o": "r + 13", "b": "o + 14", "t": "b + 8", "p": 11}, "premises": {"p": 11}, "target": "c"}, "answer": {"steps": [["n", "y + 15", "y + 32"], ["y", "s + 9", "s + 41"], ["s", "w + 2", "w + 43"], ["w", "q + 19", "q + 62"], ["q", "p + 16", "p + 78"], ["p", 11, "89"]], "target_var_name": "c", "target_value": 89, "value_dict": {"p": 11}, "is_reverse": true}} | 22,002 | 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 = o + 14; s = w + 2; q = p + 16; n = y + 15; c = n + 17; t = b + 8; y = s + 9; v = a + 11; w = q + 19; p = 11; a = p + 8; r = v + 5; o = r + 13. If p = 11, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = y + 15 to c, which gives c = y + 32.\n2. Substitute y = s + 9 to c, which gives c = s + 41.\n3. Substitute s = w + 2 to c, which gives c = w + 43.\n4. Substitute w = q + 19 to c, which gives c = q + 62.\n5. Substitute q = p + 16 to c, which gives c = p + 78.\n6. Substitute p = 11 to c, which gives c = 89.\n\nThus, the final answer is c = \\boxed{89}.",
"index": 22002,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = o + 14; s = w + 2; q = p + 16; n = y + 15; c = n + 17; t = b + 8; y = s + 9; v = a + 11; w = q + 19; p = 11; a = p + 8; r = v + 5; o = r + 13. If p = 11, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"j": "e + 13", "d": "j + 8", "v": "d + 12", "f": "v + 18", "x": "f + 6", "r": "x + 6", "h": "e + 3", "z": "h + 10", "g": "z + 5", "w": "g + 16", "s": "w + 2", "m": "s + 2", "e": 3}, "premises": {"e": 3}, "target": "r"}, "answer": {"steps": [["x", "f + 6", "f + 12"], ["f", "v + 18", "v + 30"], ["v", "d + 12", "d + 42"], ["d", "j + 8", "j + 50"], ["j", "e + 13", "e + 63"], ["e", 3, "66"]], "target_var_name": "r", "target_value": 66, "value_dict": {"e": 3}, "is_reverse": true}} | 22,003 | 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 = g + 16; z = h + 10; f = v + 18; h = e + 3; x = f + 6; j = e + 13; v = d + 12; d = j + 8; g = z + 5; e = 3; r = x + 6; s = w + 2; m = s + 2. If e = 3, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = f + 6 to r, which gives r = f + 12.\n2. Substitute f = v + 18 to r, which gives r = v + 30.\n3. Substitute v = d + 12 to r, which gives r = d + 42.\n4. Substitute d = j + 8 to r, which gives r = j + 50.\n5. Substitute j = e + 13 to r, which gives r = e + 63.\n6. Substitute e = 3 to r, which gives r = 66.\n\nThus, the final answer is r = \\boxed{66}.",
"index": 22003,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = g + 16; z = h + 10; f = v + 18; h = e + 3; x = f + 6; j = e + 13; v = d + 12; d = j + 8; g = z + 5; e = 3; r = x + 6; s = w + 2; m = s + 2. If e = 3, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"b": "y + 2", "t": "b + 13", "q": "t + 5", "o": "q + 11", "m": "o + 2", "u": "m + 2", "s": "y + 2", "z": "s + 8", "k": "z + 1", "j": "k + 11", "h": "j + 9", "l": "h + 2", "y": 14}, "premises": {"y": 14}, "target": "u"}, "answer": {"steps": [["m", "o + 2", "o + 4"], ["o", "q + 11", "q + 15"], ["q", "t + 5", "t + 20"], ["t", "b + 13", "b + 33"], ["b", "y + 2", "y + 35"], ["y", 14, "49"]], "target_var_name": "u", "target_value": 49, "value_dict": {"y": 14}, "is_reverse": true}} | 22,004 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = k + 11; b = y + 2; u = m + 2; m = o + 2; l = h + 2; q = t + 5; h = j + 9; k = z + 1; o = q + 11; t = b + 13; s = y + 2; y = 14; z = s + 8. Given that y = 14, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = o + 2 to u, which gives u = o + 4.\n2. Substitute o = q + 11 to u, which gives u = q + 15.\n3. Substitute q = t + 5 to u, which gives u = t + 20.\n4. Substitute t = b + 13 to u, which gives u = b + 33.\n5. Substitute b = y + 2 to u, which gives u = y + 35.\n6. Substitute y = 14 to u, which gives u = 49.\n\nThus, the final answer is u = \\boxed{49}.",
"index": 22004,
"question": "Suppose a collection of variables is related by the following definitions: j = k + 11; b = y + 2; u = m + 2; m = o + 2; l = h + 2; q = t + 5; h = j + 9; k = z + 1; o = q + 11; t = b + 13; s = y + 2; y = 14; z = s + 8. Given that y = 14, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"y": "n + 2", "u": "y + 8", "z": "u + 17", "v": "z + 5", "m": "v + 2", "i": "m + 2", "j": "n + 10", "o": "j + 20", "f": "o + 15", "t": "f + 10", "w": "t + 9", "k": "w + 5", "n": 9}, "premises": {"n": 9}, "target": "i"}, "answer": {"steps": [["m", "v + 2", "v + 4"], ["v", "z + 5", "z + 9"], ["z", "u + 17", "u + 26"], ["u", "y + 8", "y + 34"], ["y", "n + 2", "n + 36"], ["n", 9, "45"]], "target_var_name": "i", "target_value": 45, "value_dict": {"n": 9}, "is_reverse": true}} | 22,005 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = w + 5; y = n + 2; n = 9; j = n + 10; o = j + 20; w = t + 9; u = y + 8; f = o + 15; m = v + 2; t = f + 10; v = z + 5; z = u + 17; i = m + 2. If n = 9, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = v + 2 to i, which gives i = v + 4.\n2. Substitute v = z + 5 to i, which gives i = z + 9.\n3. Substitute z = u + 17 to i, which gives i = u + 26.\n4. Substitute u = y + 8 to i, which gives i = y + 34.\n5. Substitute y = n + 2 to i, which gives i = n + 36.\n6. Substitute n = 9 to i, which gives i = 45.\n\nThus, the final answer is i = \\boxed{45}.",
"index": 22005,
"question": "Consider a system of variables where each variable is defined as follows: k = w + 5; y = n + 2; n = 9; j = n + 10; o = j + 20; w = t + 9; u = y + 8; f = o + 15; m = v + 2; t = f + 10; v = z + 5; z = u + 17; i = m + 2. If n = 9, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"m": "b + 5", "a": "m + 19", "i": "a + 1", "k": "i + 2", "l": "k + 12", "n": "l + 12", "u": "b + 18", "j": "u + 15", "y": "j + 19", "r": "y + 1", "f": "r + 19", "c": "f + 15", "b": 1}, "premises": {"b": 1}, "target": "n"}, "answer": {"steps": [["l", "k + 12", "k + 24"], ["k", "i + 2", "i + 26"], ["i", "a + 1", "a + 27"], ["a", "m + 19", "m + 46"], ["m", "b + 5", "b + 51"], ["b", 1, "52"]], "target_var_name": "n", "target_value": 52, "value_dict": {"b": 1}, "is_reverse": true}} | 22,006 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = k + 12; y = j + 19; k = i + 2; j = u + 15; n = l + 12; c = f + 15; f = r + 19; a = m + 19; r = y + 1; u = b + 18; i = a + 1; m = b + 5; b = 1. Given that b = 1, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = k + 12 to n, which gives n = k + 24.\n2. Substitute k = i + 2 to n, which gives n = i + 26.\n3. Substitute i = a + 1 to n, which gives n = a + 27.\n4. Substitute a = m + 19 to n, which gives n = m + 46.\n5. Substitute m = b + 5 to n, which gives n = b + 51.\n6. Substitute b = 1 to n, which gives n = 52.\n\nThus, the final answer is n = \\boxed{52}.",
"index": 22006,
"question": "Suppose a collection of variables is related by the following definitions: l = k + 12; y = j + 19; k = i + 2; j = u + 15; n = l + 12; c = f + 15; f = r + 19; a = m + 19; r = y + 1; u = b + 18; i = a + 1; m = b + 5; b = 1. Given that b = 1, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"n": "q + 13", "t": "n + 2", "b": "t + 3", "p": "b + 2", "h": "p + 18", "y": "h + 2", "a": "q + 10", "g": "a + 16", "u": "g + 17", "x": "u + 3", "m": "x + 2", "l": "m + 20", "q": 15}, "premises": {"q": 15}, "target": "y"}, "answer": {"steps": [["h", "p + 18", "p + 20"], ["p", "b + 2", "b + 22"], ["b", "t + 3", "t + 25"], ["t", "n + 2", "n + 27"], ["n", "q + 13", "q + 40"], ["q", 15, "55"]], "target_var_name": "y", "target_value": 55, "value_dict": {"q": 15}, "is_reverse": true}} | 22,007 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = p + 18; q = 15; y = h + 2; a = q + 10; b = t + 3; u = g + 17; n = q + 13; t = n + 2; m = x + 2; p = b + 2; x = u + 3; g = a + 16; l = m + 20. If q = 15, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = p + 18 to y, which gives y = p + 20.\n2. Substitute p = b + 2 to y, which gives y = b + 22.\n3. Substitute b = t + 3 to y, which gives y = t + 25.\n4. Substitute t = n + 2 to y, which gives y = n + 27.\n5. Substitute n = q + 13 to y, which gives y = q + 40.\n6. Substitute q = 15 to y, which gives y = 55.\n\nThus, the final answer is y = \\boxed{55}.",
"index": 22007,
"question": "Consider a system of variables where each variable is defined as follows: h = p + 18; q = 15; y = h + 2; a = q + 10; b = t + 3; u = g + 17; n = q + 13; t = n + 2; m = x + 2; p = b + 2; x = u + 3; g = a + 16; l = m + 20. If q = 15, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"i": "k + 13", "d": "i + 8", "b": "d + 18", "u": "b + 13", "f": "u + 16", "n": "f + 13", "o": "k + 4", "t": "o + 17", "j": "t + 11", "a": "j + 20", "q": "a + 10", "w": "q + 4", "k": 3}, "premises": {"k": 3}, "target": "n"}, "answer": {"steps": [["f", "u + 16", "u + 29"], ["u", "b + 13", "b + 42"], ["b", "d + 18", "d + 60"], ["d", "i + 8", "i + 68"], ["i", "k + 13", "k + 81"], ["k", 3, "84"]], "target_var_name": "n", "target_value": 84, "value_dict": {"k": 3}, "is_reverse": true}} | 22,008 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = o + 17; a = j + 20; n = f + 13; i = k + 13; w = q + 4; k = 3; j = t + 11; u = b + 13; b = d + 18; o = k + 4; q = a + 10; d = i + 8; f = u + 16. Given that k = 3, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = u + 16 to n, which gives n = u + 29.\n2. Substitute u = b + 13 to n, which gives n = b + 42.\n3. Substitute b = d + 18 to n, which gives n = d + 60.\n4. Substitute d = i + 8 to n, which gives n = i + 68.\n5. Substitute i = k + 13 to n, which gives n = k + 81.\n6. Substitute k = 3 to n, which gives n = 84.\n\nThus, the final answer is n = \\boxed{84}.",
"index": 22008,
"question": "Suppose a collection of variables is related by the following definitions: t = o + 17; a = j + 20; n = f + 13; i = k + 13; w = q + 4; k = 3; j = t + 11; u = b + 13; b = d + 18; o = k + 4; q = a + 10; d = i + 8; f = u + 16. Given that k = 3, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"l": "p + 11", "x": "l + 7", "g": "x + 14", "u": "g + 10", "s": "u + 9", "i": "s + 7", "h": "p + 17", "t": "h + 3", "z": "t + 5", "v": "z + 6", "f": "v + 12", "b": "f + 6", "p": 9}, "premises": {"p": 9}, "target": "i"}, "answer": {"steps": [["s", "u + 9", "u + 16"], ["u", "g + 10", "g + 26"], ["g", "x + 14", "x + 40"], ["x", "l + 7", "l + 47"], ["l", "p + 11", "p + 58"], ["p", 9, "67"]], "target_var_name": "i", "target_value": 67, "value_dict": {"p": 9}, "is_reverse": true}} | 22,009 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = t + 5; b = f + 6; t = h + 3; s = u + 9; p = 9; g = x + 14; x = l + 7; u = g + 10; f = v + 12; i = s + 7; l = p + 11; v = z + 6; h = p + 17. Given that p = 9, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = u + 9 to i, which gives i = u + 16.\n2. Substitute u = g + 10 to i, which gives i = g + 26.\n3. Substitute g = x + 14 to i, which gives i = x + 40.\n4. Substitute x = l + 7 to i, which gives i = l + 47.\n5. Substitute l = p + 11 to i, which gives i = p + 58.\n6. Substitute p = 9 to i, which gives i = 67.\n\nThus, the final answer is i = \\boxed{67}.",
"index": 22009,
"question": "Suppose a collection of variables is related by the following definitions: z = t + 5; b = f + 6; t = h + 3; s = u + 9; p = 9; g = x + 14; x = l + 7; u = g + 10; f = v + 12; i = s + 7; l = p + 11; v = z + 6; h = p + 17. Given that p = 9, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"l": "u + 4", "o": "l + 11", "x": "o + 19", "w": "x + 16", "v": "w + 19", "p": "v + 11", "a": "u + 16", "e": "a + 8", "h": "e + 12", "m": "h + 1", "d": "m + 14", "b": "d + 9", "u": 6}, "premises": {"u": 6}, "target": "p"}, "answer": {"steps": [["v", "w + 19", "w + 30"], ["w", "x + 16", "x + 46"], ["x", "o + 19", "o + 65"], ["o", "l + 11", "l + 76"], ["l", "u + 4", "u + 80"], ["u", 6, "86"]], "target_var_name": "p", "target_value": 86, "value_dict": {"u": 6}, "is_reverse": true}} | 22,010 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = a + 8; m = h + 1; o = l + 11; u = 6; w = x + 16; p = v + 11; x = o + 19; d = m + 14; v = w + 19; b = d + 9; h = e + 12; a = u + 16; l = u + 4. If u = 6, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = w + 19 to p, which gives p = w + 30.\n2. Substitute w = x + 16 to p, which gives p = x + 46.\n3. Substitute x = o + 19 to p, which gives p = o + 65.\n4. Substitute o = l + 11 to p, which gives p = l + 76.\n5. Substitute l = u + 4 to p, which gives p = u + 80.\n6. Substitute u = 6 to p, which gives p = 86.\n\nThus, the final answer is p = \\boxed{86}.",
"index": 22010,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = a + 8; m = h + 1; o = l + 11; u = 6; w = x + 16; p = v + 11; x = o + 19; d = m + 14; v = w + 19; b = d + 9; h = e + 12; a = u + 16; l = u + 4. If u = 6, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"k": "f + 11", "j": "k + 20", "n": "j + 4", "d": "n + 17", "x": "d + 16", "p": "x + 5", "h": "f + 17", "z": "h + 12", "l": "z + 16", "v": "l + 10", "m": "v + 1", "i": "m + 11", "f": 16}, "premises": {"f": 16}, "target": "p"}, "answer": {"steps": [["x", "d + 16", "d + 21"], ["d", "n + 17", "n + 38"], ["n", "j + 4", "j + 42"], ["j", "k + 20", "k + 62"], ["k", "f + 11", "f + 73"], ["f", 16, "89"]], "target_var_name": "p", "target_value": 89, "value_dict": {"f": 16}, "is_reverse": true}} | 22,011 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = f + 11; d = n + 17; j = k + 20; z = h + 12; h = f + 17; l = z + 16; v = l + 10; x = d + 16; f = 16; n = j + 4; m = v + 1; i = m + 11; p = x + 5. Given that f = 16, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = d + 16 to p, which gives p = d + 21.\n2. Substitute d = n + 17 to p, which gives p = n + 38.\n3. Substitute n = j + 4 to p, which gives p = j + 42.\n4. Substitute j = k + 20 to p, which gives p = k + 62.\n5. Substitute k = f + 11 to p, which gives p = f + 73.\n6. Substitute f = 16 to p, which gives p = 89.\n\nThus, the final answer is p = \\boxed{89}.",
"index": 22011,
"question": "Suppose a collection of variables is related by the following definitions: k = f + 11; d = n + 17; j = k + 20; z = h + 12; h = f + 17; l = z + 16; v = l + 10; x = d + 16; f = 16; n = j + 4; m = v + 1; i = m + 11; p = x + 5. Given that f = 16, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"e": "j + 17", "p": "e + 4", "k": "p + 3", "r": "k + 9", "m": "r + 12", "y": "m + 20", "i": "j + 4", "n": "i + 5", "b": "n + 3", "c": "b + 10", "z": "c + 5", "s": "z + 1", "j": 10}, "premises": {"j": 10}, "target": "y"}, "answer": {"steps": [["m", "r + 12", "r + 32"], ["r", "k + 9", "k + 41"], ["k", "p + 3", "p + 44"], ["p", "e + 4", "e + 48"], ["e", "j + 17", "j + 65"], ["j", 10, "75"]], "target_var_name": "y", "target_value": 75, "value_dict": {"j": 10}, "is_reverse": true}} | 22,012 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = n + 3; e = j + 17; p = e + 4; c = b + 10; r = k + 9; n = i + 5; i = j + 4; s = z + 1; k = p + 3; j = 10; z = c + 5; m = r + 12; y = m + 20. Given that j = 10, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = r + 12 to y, which gives y = r + 32.\n2. Substitute r = k + 9 to y, which gives y = k + 41.\n3. Substitute k = p + 3 to y, which gives y = p + 44.\n4. Substitute p = e + 4 to y, which gives y = e + 48.\n5. Substitute e = j + 17 to y, which gives y = j + 65.\n6. Substitute j = 10 to y, which gives y = 75.\n\nThus, the final answer is y = \\boxed{75}.",
"index": 22012,
"question": "Suppose a collection of variables is related by the following definitions: b = n + 3; e = j + 17; p = e + 4; c = b + 10; r = k + 9; n = i + 5; i = j + 4; s = z + 1; k = p + 3; j = 10; z = c + 5; m = r + 12; y = m + 20. Given that j = 10, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"k": "r + 6", "j": "k + 14", "v": "j + 18", "p": "v + 6", "b": "p + 11", "g": "b + 9", "w": "r + 15", "u": "w + 1", "d": "u + 18", "e": "d + 17", "f": "e + 16", "z": "f + 10", "r": 3}, "premises": {"r": 3}, "target": "g"}, "answer": {"steps": [["b", "p + 11", "p + 20"], ["p", "v + 6", "v + 26"], ["v", "j + 18", "j + 44"], ["j", "k + 14", "k + 58"], ["k", "r + 6", "r + 64"], ["r", 3, "67"]], "target_var_name": "g", "target_value": 67, "value_dict": {"r": 3}, "is_reverse": true}} | 22,013 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = 3; p = v + 6; k = r + 6; v = j + 18; e = d + 17; b = p + 11; f = e + 16; u = w + 1; z = f + 10; j = k + 14; d = u + 18; w = r + 15; g = b + 9. If r = 3, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = p + 11 to g, which gives g = p + 20.\n2. Substitute p = v + 6 to g, which gives g = v + 26.\n3. Substitute v = j + 18 to g, which gives g = j + 44.\n4. Substitute j = k + 14 to g, which gives g = k + 58.\n5. Substitute k = r + 6 to g, which gives g = r + 64.\n6. Substitute r = 3 to g, which gives g = 67.\n\nThus, the final answer is g = \\boxed{67}.",
"index": 22013,
"question": "Consider a system of variables where each variable is defined as follows: r = 3; p = v + 6; k = r + 6; v = j + 18; e = d + 17; b = p + 11; f = e + 16; u = w + 1; z = f + 10; j = k + 14; d = u + 18; w = r + 15; g = b + 9. If r = 3, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"n": "l + 1", "h": "n + 17", "x": "h + 12", "c": "x + 14", "m": "c + 12", "s": "m + 15", "k": "l + 1", "v": "k + 15", "i": "v + 6", "p": "i + 18", "e": "p + 4", "d": "e + 2", "l": 2}, "premises": {"l": 2}, "target": "s"}, "answer": {"steps": [["m", "c + 12", "c + 27"], ["c", "x + 14", "x + 41"], ["x", "h + 12", "h + 53"], ["h", "n + 17", "n + 70"], ["n", "l + 1", "l + 71"], ["l", 2, "73"]], "target_var_name": "s", "target_value": 73, "value_dict": {"l": 2}, "is_reverse": true}} | 22,014 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = k + 15; s = m + 15; d = e + 2; n = l + 1; c = x + 14; h = n + 17; l = 2; m = c + 12; k = l + 1; e = p + 4; i = v + 6; p = i + 18; x = h + 12. If l = 2, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = c + 12 to s, which gives s = c + 27.\n2. Substitute c = x + 14 to s, which gives s = x + 41.\n3. Substitute x = h + 12 to s, which gives s = h + 53.\n4. Substitute h = n + 17 to s, which gives s = n + 70.\n5. Substitute n = l + 1 to s, which gives s = l + 71.\n6. Substitute l = 2 to s, which gives s = 73.\n\nThus, the final answer is s = \\boxed{73}.",
"index": 22014,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = k + 15; s = m + 15; d = e + 2; n = l + 1; c = x + 14; h = n + 17; l = 2; m = c + 12; k = l + 1; e = p + 4; i = v + 6; p = i + 18; x = h + 12. If l = 2, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"y": "f + 14", "x": "y + 5", "q": "x + 15", "p": "q + 10", "g": "p + 19", "w": "g + 14", "r": "f + 6", "i": "r + 18", "h": "i + 11", "u": "h + 9", "k": "u + 18", "v": "k + 16", "f": 17}, "premises": {"f": 17}, "target": "w"}, "answer": {"steps": [["g", "p + 19", "p + 33"], ["p", "q + 10", "q + 43"], ["q", "x + 15", "x + 58"], ["x", "y + 5", "y + 63"], ["y", "f + 14", "f + 77"], ["f", 17, "94"]], "target_var_name": "w", "target_value": 94, "value_dict": {"f": 17}, "is_reverse": true}} | 22,015 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = 17; r = f + 6; h = i + 11; i = r + 18; k = u + 18; p = q + 10; x = y + 5; w = g + 14; q = x + 15; g = p + 19; u = h + 9; y = f + 14; v = k + 16. If f = 17, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = p + 19 to w, which gives w = p + 33.\n2. Substitute p = q + 10 to w, which gives w = q + 43.\n3. Substitute q = x + 15 to w, which gives w = x + 58.\n4. Substitute x = y + 5 to w, which gives w = y + 63.\n5. Substitute y = f + 14 to w, which gives w = f + 77.\n6. Substitute f = 17 to w, which gives w = 94.\n\nThus, the final answer is w = \\boxed{94}.",
"index": 22015,
"question": "Consider a system of variables where each variable is defined as follows: f = 17; r = f + 6; h = i + 11; i = r + 18; k = u + 18; p = q + 10; x = y + 5; w = g + 14; q = x + 15; g = p + 19; u = h + 9; y = f + 14; v = k + 16. If f = 17, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"c": "b + 17", "k": "c + 6", "f": "k + 20", "e": "f + 14", "h": "e + 17", "x": "h + 19", "i": "b + 16", "z": "i + 16", "o": "z + 2", "l": "o + 17", "r": "l + 2", "j": "r + 7", "b": 17}, "premises": {"b": 17}, "target": "x"}, "answer": {"steps": [["h", "e + 17", "e + 36"], ["e", "f + 14", "f + 50"], ["f", "k + 20", "k + 70"], ["k", "c + 6", "c + 76"], ["c", "b + 17", "b + 93"], ["b", 17, "110"]], "target_var_name": "x", "target_value": 110, "value_dict": {"b": 17}, "is_reverse": true}} | 22,016 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = o + 17; k = c + 6; e = f + 14; i = b + 16; o = z + 2; r = l + 2; x = h + 19; z = i + 16; h = e + 17; j = r + 7; b = 17; f = k + 20; c = b + 17. If b = 17, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 110,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = e + 17 to x, which gives x = e + 36.\n2. Substitute e = f + 14 to x, which gives x = f + 50.\n3. Substitute f = k + 20 to x, which gives x = k + 70.\n4. Substitute k = c + 6 to x, which gives x = c + 76.\n5. Substitute c = b + 17 to x, which gives x = b + 93.\n6. Substitute b = 17 to x, which gives x = 110.\n\nThus, the final answer is x = \\boxed{110}.",
"index": 22016,
"question": "Consider a system of variables where each variable is defined as follows: l = o + 17; k = c + 6; e = f + 14; i = b + 16; o = z + 2; r = l + 2; x = h + 19; z = i + 16; h = e + 17; j = r + 7; b = 17; f = k + 20; c = b + 17. If b = 17, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"e": "h + 19", "i": "e + 6", "q": "i + 1", "b": "q + 1", "z": "b + 13", "r": "z + 20", "j": "h + 20", "v": "j + 18", "p": "v + 5", "d": "p + 17", "x": "d + 14", "s": "x + 10", "h": 13}, "premises": {"h": 13}, "target": "r"}, "answer": {"steps": [["z", "b + 13", "b + 33"], ["b", "q + 1", "q + 34"], ["q", "i + 1", "i + 35"], ["i", "e + 6", "e + 41"], ["e", "h + 19", "h + 60"], ["h", 13, "73"]], "target_var_name": "r", "target_value": 73, "value_dict": {"h": 13}, "is_reverse": true}} | 22,017 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = e + 6; v = j + 18; s = x + 10; e = h + 19; h = 13; r = z + 20; p = v + 5; d = p + 17; x = d + 14; z = b + 13; b = q + 1; j = h + 20; q = i + 1. Given that h = 13, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = b + 13 to r, which gives r = b + 33.\n2. Substitute b = q + 1 to r, which gives r = q + 34.\n3. Substitute q = i + 1 to r, which gives r = i + 35.\n4. Substitute i = e + 6 to r, which gives r = e + 41.\n5. Substitute e = h + 19 to r, which gives r = h + 60.\n6. Substitute h = 13 to r, which gives r = 73.\n\nThus, the final answer is r = \\boxed{73}.",
"index": 22017,
"question": "Suppose a collection of variables is related by the following definitions: i = e + 6; v = j + 18; s = x + 10; e = h + 19; h = 13; r = z + 20; p = v + 5; d = p + 17; x = d + 14; z = b + 13; b = q + 1; j = h + 20; q = i + 1. Given that h = 13, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"f": "k + 11", "a": "f + 9", "d": "a + 1", "v": "d + 2", "g": "v + 9", "e": "g + 11", "w": "k + 10", "o": "w + 6", "x": "o + 1", "c": "x + 19", "n": "c + 20", "y": "n + 10", "k": 1}, "premises": {"k": 1}, "target": "e"}, "answer": {"steps": [["g", "v + 9", "v + 20"], ["v", "d + 2", "d + 22"], ["d", "a + 1", "a + 23"], ["a", "f + 9", "f + 32"], ["f", "k + 11", "k + 43"], ["k", 1, "44"]], "target_var_name": "e", "target_value": 44, "value_dict": {"k": 1}, "is_reverse": true}} | 22,018 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = w + 6; n = c + 20; g = v + 9; c = x + 19; v = d + 2; y = n + 10; d = a + 1; k = 1; a = f + 9; w = k + 10; e = g + 11; x = o + 1; f = k + 11. If k = 1, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 44,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = v + 9 to e, which gives e = v + 20.\n2. Substitute v = d + 2 to e, which gives e = d + 22.\n3. Substitute d = a + 1 to e, which gives e = a + 23.\n4. Substitute a = f + 9 to e, which gives e = f + 32.\n5. Substitute f = k + 11 to e, which gives e = k + 43.\n6. Substitute k = 1 to e, which gives e = 44.\n\nThus, the final answer is e = \\boxed{44}.",
"index": 22018,
"question": "Consider a system of variables where each variable is defined as follows: o = w + 6; n = c + 20; g = v + 9; c = x + 19; v = d + 2; y = n + 10; d = a + 1; k = 1; a = f + 9; w = k + 10; e = g + 11; x = o + 1; f = k + 11. If k = 1, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"r": "g + 5", "i": "r + 15", "u": "i + 12", "k": "u + 12", "s": "k + 18", "m": "s + 11", "p": "g + 14", "v": "p + 3", "b": "v + 10", "e": "b + 6", "l": "e + 9", "w": "l + 12", "g": 20}, "premises": {"g": 20}, "target": "m"}, "answer": {"steps": [["s", "k + 18", "k + 29"], ["k", "u + 12", "u + 41"], ["u", "i + 12", "i + 53"], ["i", "r + 15", "r + 68"], ["r", "g + 5", "g + 73"], ["g", 20, "93"]], "target_var_name": "m", "target_value": 93, "value_dict": {"g": 20}, "is_reverse": true}} | 22,019 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = b + 6; p = g + 14; i = r + 15; w = l + 12; l = e + 9; g = 20; k = u + 12; b = v + 10; s = k + 18; r = g + 5; u = i + 12; v = p + 3; m = s + 11. If g = 20, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = k + 18 to m, which gives m = k + 29.\n2. Substitute k = u + 12 to m, which gives m = u + 41.\n3. Substitute u = i + 12 to m, which gives m = i + 53.\n4. Substitute i = r + 15 to m, which gives m = r + 68.\n5. Substitute r = g + 5 to m, which gives m = g + 73.\n6. Substitute g = 20 to m, which gives m = 93.\n\nThus, the final answer is m = \\boxed{93}.",
"index": 22019,
"question": "Consider a system of variables where each variable is defined as follows: e = b + 6; p = g + 14; i = r + 15; w = l + 12; l = e + 9; g = 20; k = u + 12; b = v + 10; s = k + 18; r = g + 5; u = i + 12; v = p + 3; m = s + 11. If g = 20, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"c": "t + 8", "f": "c + 2", "x": "f + 17", "j": "x + 19", "h": "j + 5", "q": "h + 16", "u": "t + 12", "i": "u + 12", "p": "i + 6", "o": "p + 8", "r": "o + 11", "b": "r + 10", "t": 3}, "premises": {"t": 3}, "target": "q"}, "answer": {"steps": [["h", "j + 5", "j + 21"], ["j", "x + 19", "x + 40"], ["x", "f + 17", "f + 57"], ["f", "c + 2", "c + 59"], ["c", "t + 8", "t + 67"], ["t", 3, "70"]], "target_var_name": "q", "target_value": 70, "value_dict": {"t": 3}, "is_reverse": true}} | 22,020 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = 3; x = f + 17; p = i + 6; h = j + 5; q = h + 16; f = c + 2; b = r + 10; j = x + 19; u = t + 12; r = o + 11; i = u + 12; c = t + 8; o = p + 8. If t = 3, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = j + 5 to q, which gives q = j + 21.\n2. Substitute j = x + 19 to q, which gives q = x + 40.\n3. Substitute x = f + 17 to q, which gives q = f + 57.\n4. Substitute f = c + 2 to q, which gives q = c + 59.\n5. Substitute c = t + 8 to q, which gives q = t + 67.\n6. Substitute t = 3 to q, which gives q = 70.\n\nThus, the final answer is q = \\boxed{70}.",
"index": 22020,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = 3; x = f + 17; p = i + 6; h = j + 5; q = h + 16; f = c + 2; b = r + 10; j = x + 19; u = t + 12; r = o + 11; i = u + 12; c = t + 8; o = p + 8. If t = 3, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"o": "c + 5", "y": "o + 5", "s": "y + 1", "p": "s + 19", "f": "p + 18", "g": "f + 15", "r": "c + 7", "n": "r + 17", "q": "n + 20", "b": "q + 4", "t": "b + 17", "e": "t + 17", "c": 4}, "premises": {"c": 4}, "target": "g"}, "answer": {"steps": [["f", "p + 18", "p + 33"], ["p", "s + 19", "s + 52"], ["s", "y + 1", "y + 53"], ["y", "o + 5", "o + 58"], ["o", "c + 5", "c + 63"], ["c", 4, "67"]], "target_var_name": "g", "target_value": 67, "value_dict": {"c": 4}, "is_reverse": true}} | 22,021 | 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 = 4; y = o + 5; n = r + 17; p = s + 19; e = t + 17; t = b + 17; s = y + 1; r = c + 7; o = c + 5; f = p + 18; b = q + 4; q = n + 20; g = f + 15. If c = 4, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = p + 18 to g, which gives g = p + 33.\n2. Substitute p = s + 19 to g, which gives g = s + 52.\n3. Substitute s = y + 1 to g, which gives g = y + 53.\n4. Substitute y = o + 5 to g, which gives g = o + 58.\n5. Substitute o = c + 5 to g, which gives g = c + 63.\n6. Substitute c = 4 to g, which gives g = 67.\n\nThus, the final answer is g = \\boxed{67}.",
"index": 22021,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = 4; y = o + 5; n = r + 17; p = s + 19; e = t + 17; t = b + 17; s = y + 1; r = c + 7; o = c + 5; f = p + 18; b = q + 4; q = n + 20; g = f + 15. If c = 4, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"w": "e + 9", "q": "w + 17", "h": "q + 4", "j": "h + 2", "v": "j + 13", "y": "v + 7", "b": "e + 19", "z": "b + 11", "g": "z + 9", "c": "g + 17", "x": "c + 5", "n": "x + 1", "e": 13}, "premises": {"e": 13}, "target": "y"}, "answer": {"steps": [["v", "j + 13", "j + 20"], ["j", "h + 2", "h + 22"], ["h", "q + 4", "q + 26"], ["q", "w + 17", "w + 43"], ["w", "e + 9", "e + 52"], ["e", 13, "65"]], "target_var_name": "y", "target_value": 65, "value_dict": {"e": 13}, "is_reverse": true}} | 22,022 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = e + 9; x = c + 5; n = x + 1; v = j + 13; z = b + 11; b = e + 19; e = 13; h = q + 4; g = z + 9; j = h + 2; y = v + 7; q = w + 17; c = g + 17. Given that e = 13, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = j + 13 to y, which gives y = j + 20.\n2. Substitute j = h + 2 to y, which gives y = h + 22.\n3. Substitute h = q + 4 to y, which gives y = q + 26.\n4. Substitute q = w + 17 to y, which gives y = w + 43.\n5. Substitute w = e + 9 to y, which gives y = e + 52.\n6. Substitute e = 13 to y, which gives y = 65.\n\nThus, the final answer is y = \\boxed{65}.",
"index": 22022,
"question": "Suppose a collection of variables is related by the following definitions: w = e + 9; x = c + 5; n = x + 1; v = j + 13; z = b + 11; b = e + 19; e = 13; h = q + 4; g = z + 9; j = h + 2; y = v + 7; q = w + 17; c = g + 17. Given that e = 13, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"p": "e + 2", "m": "p + 11", "h": "m + 20", "z": "h + 5", "s": "z + 11", "i": "s + 13", "q": "e + 17", "k": "q + 6", "a": "k + 15", "x": "a + 2", "j": "x + 8", "b": "j + 18", "e": 5}, "premises": {"e": 5}, "target": "i"}, "answer": {"steps": [["s", "z + 11", "z + 24"], ["z", "h + 5", "h + 29"], ["h", "m + 20", "m + 49"], ["m", "p + 11", "p + 60"], ["p", "e + 2", "e + 62"], ["e", 5, "67"]], "target_var_name": "i", "target_value": 67, "value_dict": {"e": 5}, "is_reverse": true}} | 22,023 | 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 = j + 18; h = m + 20; x = a + 2; m = p + 11; s = z + 11; p = e + 2; e = 5; q = e + 17; a = k + 15; k = q + 6; z = h + 5; i = s + 13; j = x + 8. If e = 5, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = z + 11 to i, which gives i = z + 24.\n2. Substitute z = h + 5 to i, which gives i = h + 29.\n3. Substitute h = m + 20 to i, which gives i = m + 49.\n4. Substitute m = p + 11 to i, which gives i = p + 60.\n5. Substitute p = e + 2 to i, which gives i = e + 62.\n6. Substitute e = 5 to i, which gives i = 67.\n\nThus, the final answer is i = \\boxed{67}.",
"index": 22023,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = j + 18; h = m + 20; x = a + 2; m = p + 11; s = z + 11; p = e + 2; e = 5; q = e + 17; a = k + 15; k = q + 6; z = h + 5; i = s + 13; j = x + 8. If e = 5, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"l": "q + 13", "p": "l + 8", "t": "p + 20", "c": "t + 18", "f": "c + 10", "x": "f + 11", "v": "q + 15", "k": "v + 14", "d": "k + 4", "y": "d + 8", "r": "y + 20", "j": "r + 16", "q": 6}, "premises": {"q": 6}, "target": "x"}, "answer": {"steps": [["f", "c + 10", "c + 21"], ["c", "t + 18", "t + 39"], ["t", "p + 20", "p + 59"], ["p", "l + 8", "l + 67"], ["l", "q + 13", "q + 80"], ["q", 6, "86"]], "target_var_name": "x", "target_value": 86, "value_dict": {"q": 6}, "is_reverse": true}} | 22,024 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = d + 8; l = q + 13; x = f + 11; f = c + 10; d = k + 4; p = l + 8; t = p + 20; j = r + 16; c = t + 18; k = v + 14; q = 6; r = y + 20; v = q + 15. Given that q = 6, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = c + 10 to x, which gives x = c + 21.\n2. Substitute c = t + 18 to x, which gives x = t + 39.\n3. Substitute t = p + 20 to x, which gives x = p + 59.\n4. Substitute p = l + 8 to x, which gives x = l + 67.\n5. Substitute l = q + 13 to x, which gives x = q + 80.\n6. Substitute q = 6 to x, which gives x = 86.\n\nThus, the final answer is x = \\boxed{86}.",
"index": 22024,
"question": "Suppose a collection of variables is related by the following definitions: y = d + 8; l = q + 13; x = f + 11; f = c + 10; d = k + 4; p = l + 8; t = p + 20; j = r + 16; c = t + 18; k = v + 14; q = 6; r = y + 20; v = q + 15. Given that q = 6, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"z": "c + 9", "n": "z + 3", "q": "n + 14", "f": "q + 14", "e": "f + 15", "m": "e + 6", "o": "c + 19", "a": "o + 6", "w": "a + 3", "h": "w + 5", "r": "h + 17", "x": "r + 10", "c": 4}, "premises": {"c": 4}, "target": "m"}, "answer": {"steps": [["e", "f + 15", "f + 21"], ["f", "q + 14", "q + 35"], ["q", "n + 14", "n + 49"], ["n", "z + 3", "z + 52"], ["z", "c + 9", "c + 61"], ["c", 4, "65"]], "target_var_name": "m", "target_value": 65, "value_dict": {"c": 4}, "is_reverse": true}} | 22,025 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = o + 6; r = h + 17; q = n + 14; c = 4; w = a + 3; h = w + 5; m = e + 6; z = c + 9; x = r + 10; o = c + 19; n = z + 3; e = f + 15; f = q + 14. Given that c = 4, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = f + 15 to m, which gives m = f + 21.\n2. Substitute f = q + 14 to m, which gives m = q + 35.\n3. Substitute q = n + 14 to m, which gives m = n + 49.\n4. Substitute n = z + 3 to m, which gives m = z + 52.\n5. Substitute z = c + 9 to m, which gives m = c + 61.\n6. Substitute c = 4 to m, which gives m = 65.\n\nThus, the final answer is m = \\boxed{65}.",
"index": 22025,
"question": "Suppose a collection of variables is related by the following definitions: a = o + 6; r = h + 17; q = n + 14; c = 4; w = a + 3; h = w + 5; m = e + 6; z = c + 9; x = r + 10; o = c + 19; n = z + 3; e = f + 15; f = q + 14. Given that c = 4, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"d": "i + 15", "j": "d + 13", "w": "j + 15", "m": "w + 16", "x": "m + 5", "z": "x + 12", "q": "i + 20", "e": "q + 15", "a": "e + 5", "s": "a + 14", "y": "s + 17", "b": "y + 9", "i": 7}, "premises": {"i": 7}, "target": "z"}, "answer": {"steps": [["x", "m + 5", "m + 17"], ["m", "w + 16", "w + 33"], ["w", "j + 15", "j + 48"], ["j", "d + 13", "d + 61"], ["d", "i + 15", "i + 76"], ["i", 7, "83"]], "target_var_name": "z", "target_value": 83, "value_dict": {"i": 7}, "is_reverse": true}} | 22,026 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = a + 14; y = s + 17; a = e + 5; d = i + 15; b = y + 9; q = i + 20; z = x + 12; x = m + 5; j = d + 13; w = j + 15; m = w + 16; e = q + 15; i = 7. If i = 7, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = m + 5 to z, which gives z = m + 17.\n2. Substitute m = w + 16 to z, which gives z = w + 33.\n3. Substitute w = j + 15 to z, which gives z = j + 48.\n4. Substitute j = d + 13 to z, which gives z = d + 61.\n5. Substitute d = i + 15 to z, which gives z = i + 76.\n6. Substitute i = 7 to z, which gives z = 83.\n\nThus, the final answer is z = \\boxed{83}.",
"index": 22026,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = a + 14; y = s + 17; a = e + 5; d = i + 15; b = y + 9; q = i + 20; z = x + 12; x = m + 5; j = d + 13; w = j + 15; m = w + 16; e = q + 15; i = 7. If i = 7, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"d": "w + 13", "j": "d + 17", "g": "j + 20", "x": "g + 10", "c": "x + 9", "v": "c + 20", "r": "w + 4", "o": "r + 19", "u": "o + 7", "k": "u + 7", "h": "k + 18", "p": "h + 10", "w": 5}, "premises": {"w": 5}, "target": "v"}, "answer": {"steps": [["c", "x + 9", "x + 29"], ["x", "g + 10", "g + 39"], ["g", "j + 20", "j + 59"], ["j", "d + 17", "d + 76"], ["d", "w + 13", "w + 89"], ["w", 5, "94"]], "target_var_name": "v", "target_value": 94, "value_dict": {"w": 5}, "is_reverse": true}} | 22,027 | 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 + 20; w = 5; h = k + 18; u = o + 7; g = j + 20; j = d + 17; d = w + 13; c = x + 9; x = g + 10; p = h + 10; r = w + 4; o = r + 19; k = u + 7. If w = 5, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = x + 9 to v, which gives v = x + 29.\n2. Substitute x = g + 10 to v, which gives v = g + 39.\n3. Substitute g = j + 20 to v, which gives v = j + 59.\n4. Substitute j = d + 17 to v, which gives v = d + 76.\n5. Substitute d = w + 13 to v, which gives v = w + 89.\n6. Substitute w = 5 to v, which gives v = 94.\n\nThus, the final answer is v = \\boxed{94}.",
"index": 22027,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = c + 20; w = 5; h = k + 18; u = o + 7; g = j + 20; j = d + 17; d = w + 13; c = x + 9; x = g + 10; p = h + 10; r = w + 4; o = r + 19; k = u + 7. If w = 5, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"l": "p + 20", "e": "l + 6", "u": "e + 15", "a": "u + 11", "n": "a + 9", "g": "n + 7", "x": "p + 5", "f": "x + 12", "s": "f + 20", "z": "s + 13", "j": "z + 9", "t": "j + 7", "p": 9}, "premises": {"p": 9}, "target": "g"}, "answer": {"steps": [["n", "a + 9", "a + 16"], ["a", "u + 11", "u + 27"], ["u", "e + 15", "e + 42"], ["e", "l + 6", "l + 48"], ["l", "p + 20", "p + 68"], ["p", 9, "77"]], "target_var_name": "g", "target_value": 77, "value_dict": {"p": 9}, "is_reverse": true}} | 22,028 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = e + 15; p = 9; f = x + 12; z = s + 13; g = n + 7; t = j + 7; j = z + 9; e = l + 6; s = f + 20; a = u + 11; n = a + 9; l = p + 20; x = p + 5. If p = 9, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = a + 9 to g, which gives g = a + 16.\n2. Substitute a = u + 11 to g, which gives g = u + 27.\n3. Substitute u = e + 15 to g, which gives g = e + 42.\n4. Substitute e = l + 6 to g, which gives g = l + 48.\n5. Substitute l = p + 20 to g, which gives g = p + 68.\n6. Substitute p = 9 to g, which gives g = 77.\n\nThus, the final answer is g = \\boxed{77}.",
"index": 22028,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = e + 15; p = 9; f = x + 12; z = s + 13; g = n + 7; t = j + 7; j = z + 9; e = l + 6; s = f + 20; a = u + 11; n = a + 9; l = p + 20; x = p + 5. If p = 9, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"m": "q + 11", "o": "m + 11", "d": "o + 12", "y": "d + 18", "v": "y + 16", "b": "v + 16", "j": "q + 3", "c": "j + 9", "k": "c + 7", "s": "k + 17", "r": "s + 10", "p": "r + 8", "q": 3}, "premises": {"q": 3}, "target": "b"}, "answer": {"steps": [["v", "y + 16", "y + 32"], ["y", "d + 18", "d + 50"], ["d", "o + 12", "o + 62"], ["o", "m + 11", "m + 73"], ["m", "q + 11", "q + 84"], ["q", 3, "87"]], "target_var_name": "b", "target_value": 87, "value_dict": {"q": 3}, "is_reverse": true}} | 22,029 | 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 = q + 11; v = y + 16; j = q + 3; o = m + 11; b = v + 16; d = o + 12; k = c + 7; y = d + 18; p = r + 8; s = k + 17; q = 3; c = j + 9; r = s + 10. If q = 3, what is the resulting 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 v = y + 16 to b, which gives b = y + 32.\n2. Substitute y = d + 18 to b, which gives b = d + 50.\n3. Substitute d = o + 12 to b, which gives b = o + 62.\n4. Substitute o = m + 11 to b, which gives b = m + 73.\n5. Substitute m = q + 11 to b, which gives b = q + 84.\n6. Substitute q = 3 to b, which gives b = 87.\n\nThus, the final answer is b = \\boxed{87}.",
"index": 22029,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = q + 11; v = y + 16; j = q + 3; o = m + 11; b = v + 16; d = o + 12; k = c + 7; y = d + 18; p = r + 8; s = k + 17; q = 3; c = j + 9; r = s + 10. If q = 3, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"j": "p + 17", "g": "j + 10", "c": "g + 3", "h": "c + 8", "w": "h + 5", "e": "w + 2", "i": "p + 18", "b": "i + 19", "y": "b + 6", "z": "y + 8", "s": "z + 4", "m": "s + 6", "p": 15}, "premises": {"p": 15}, "target": "e"}, "answer": {"steps": [["w", "h + 5", "h + 7"], ["h", "c + 8", "c + 15"], ["c", "g + 3", "g + 18"], ["g", "j + 10", "j + 28"], ["j", "p + 17", "p + 45"], ["p", 15, "60"]], "target_var_name": "e", "target_value": 60, "value_dict": {"p": 15}, "is_reverse": true}} | 22,030 | 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 = c + 8; e = w + 2; y = b + 6; p = 15; b = i + 19; w = h + 5; z = y + 8; c = g + 3; g = j + 10; j = p + 17; i = p + 18; m = s + 6; s = z + 4. If p = 15, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = h + 5 to e, which gives e = h + 7.\n2. Substitute h = c + 8 to e, which gives e = c + 15.\n3. Substitute c = g + 3 to e, which gives e = g + 18.\n4. Substitute g = j + 10 to e, which gives e = j + 28.\n5. Substitute j = p + 17 to e, which gives e = p + 45.\n6. Substitute p = 15 to e, which gives e = 60.\n\nThus, the final answer is e = \\boxed{60}.",
"index": 22030,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = c + 8; e = w + 2; y = b + 6; p = 15; b = i + 19; w = h + 5; z = y + 8; c = g + 3; g = j + 10; j = p + 17; i = p + 18; m = s + 6; s = z + 4. If p = 15, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"l": "r + 13", "e": "l + 18", "h": "e + 18", "o": "h + 1", "w": "o + 7", "j": "w + 11", "q": "r + 11", "b": "q + 18", "u": "b + 2", "y": "u + 1", "v": "y + 18", "p": "v + 6", "r": 17}, "premises": {"r": 17}, "target": "j"}, "answer": {"steps": [["w", "o + 7", "o + 18"], ["o", "h + 1", "h + 19"], ["h", "e + 18", "e + 37"], ["e", "l + 18", "l + 55"], ["l", "r + 13", "r + 68"], ["r", 17, "85"]], "target_var_name": "j", "target_value": 85, "value_dict": {"r": 17}, "is_reverse": true}} | 22,031 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = 17; y = u + 1; o = h + 1; b = q + 18; u = b + 2; h = e + 18; e = l + 18; j = w + 11; w = o + 7; q = r + 11; v = y + 18; l = r + 13; p = v + 6. If r = 17, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = o + 7 to j, which gives j = o + 18.\n2. Substitute o = h + 1 to j, which gives j = h + 19.\n3. Substitute h = e + 18 to j, which gives j = e + 37.\n4. Substitute e = l + 18 to j, which gives j = l + 55.\n5. Substitute l = r + 13 to j, which gives j = r + 68.\n6. Substitute r = 17 to j, which gives j = 85.\n\nThus, the final answer is j = \\boxed{85}.",
"index": 22031,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = 17; y = u + 1; o = h + 1; b = q + 18; u = b + 2; h = e + 18; e = l + 18; j = w + 11; w = o + 7; q = r + 11; v = y + 18; l = r + 13; p = v + 6. If r = 17, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"g": "v + 2", "m": "g + 19", "a": "m + 13", "r": "a + 12", "t": "r + 9", "y": "t + 14", "k": "v + 18", "p": "k + 3", "h": "p + 9", "u": "h + 17", "c": "u + 13", "x": "c + 18", "v": 20}, "premises": {"v": 20}, "target": "y"}, "answer": {"steps": [["t", "r + 9", "r + 23"], ["r", "a + 12", "a + 35"], ["a", "m + 13", "m + 48"], ["m", "g + 19", "g + 67"], ["g", "v + 2", "v + 69"], ["v", 20, "89"]], "target_var_name": "y", "target_value": 89, "value_dict": {"v": 20}, "is_reverse": true}} | 22,032 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = a + 12; t = r + 9; g = v + 2; c = u + 13; v = 20; u = h + 17; x = c + 18; k = v + 18; p = k + 3; h = p + 9; m = g + 19; y = t + 14; a = m + 13. If v = 20, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = r + 9 to y, which gives y = r + 23.\n2. Substitute r = a + 12 to y, which gives y = a + 35.\n3. Substitute a = m + 13 to y, which gives y = m + 48.\n4. Substitute m = g + 19 to y, which gives y = g + 67.\n5. Substitute g = v + 2 to y, which gives y = v + 69.\n6. Substitute v = 20 to y, which gives y = 89.\n\nThus, the final answer is y = \\boxed{89}.",
"index": 22032,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = a + 12; t = r + 9; g = v + 2; c = u + 13; v = 20; u = h + 17; x = c + 18; k = v + 18; p = k + 3; h = p + 9; m = g + 19; y = t + 14; a = m + 13. If v = 20, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"o": "p + 17", "n": "o + 7", "x": "n + 13", "w": "x + 6", "u": "w + 16", "c": "u + 8", "z": "p + 9", "h": "z + 8", "k": "h + 3", "j": "k + 20", "e": "j + 17", "g": "e + 7", "p": 5}, "premises": {"p": 5}, "target": "c"}, "answer": {"steps": [["u", "w + 16", "w + 24"], ["w", "x + 6", "x + 30"], ["x", "n + 13", "n + 43"], ["n", "o + 7", "o + 50"], ["o", "p + 17", "p + 67"], ["p", 5, "72"]], "target_var_name": "c", "target_value": 72, "value_dict": {"p": 5}, "is_reverse": true}} | 22,033 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = j + 17; h = z + 8; n = o + 7; p = 5; c = u + 8; z = p + 9; g = e + 7; o = p + 17; j = k + 20; u = w + 16; x = n + 13; k = h + 3; w = x + 6. If p = 5, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = w + 16 to c, which gives c = w + 24.\n2. Substitute w = x + 6 to c, which gives c = x + 30.\n3. Substitute x = n + 13 to c, which gives c = n + 43.\n4. Substitute n = o + 7 to c, which gives c = o + 50.\n5. Substitute o = p + 17 to c, which gives c = p + 67.\n6. Substitute p = 5 to c, which gives c = 72.\n\nThus, the final answer is c = \\boxed{72}.",
"index": 22033,
"question": "Consider a system of variables where each variable is defined as follows: e = j + 17; h = z + 8; n = o + 7; p = 5; c = u + 8; z = p + 9; g = e + 7; o = p + 17; j = k + 20; u = w + 16; x = n + 13; k = h + 3; w = x + 6. If p = 5, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"p": "j + 19", "y": "p + 16", "u": "y + 2", "g": "u + 2", "n": "g + 7", "d": "n + 15", "s": "j + 11", "r": "s + 18", "o": "r + 10", "z": "o + 18", "v": "z + 17", "f": "v + 3", "j": 14}, "premises": {"j": 14}, "target": "d"}, "answer": {"steps": [["n", "g + 7", "g + 22"], ["g", "u + 2", "u + 24"], ["u", "y + 2", "y + 26"], ["y", "p + 16", "p + 42"], ["p", "j + 19", "j + 61"], ["j", 14, "75"]], "target_var_name": "d", "target_value": 75, "value_dict": {"j": 14}, "is_reverse": true}} | 22,034 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = 14; p = j + 19; o = r + 10; n = g + 7; r = s + 18; v = z + 17; z = o + 18; f = v + 3; s = j + 11; y = p + 16; u = y + 2; d = n + 15; g = u + 2. If j = 14, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = g + 7 to d, which gives d = g + 22.\n2. Substitute g = u + 2 to d, which gives d = u + 24.\n3. Substitute u = y + 2 to d, which gives d = y + 26.\n4. Substitute y = p + 16 to d, which gives d = p + 42.\n5. Substitute p = j + 19 to d, which gives d = j + 61.\n6. Substitute j = 14 to d, which gives d = 75.\n\nThus, the final answer is d = \\boxed{75}.",
"index": 22034,
"question": "Consider a system of variables where each variable is defined as follows: j = 14; p = j + 19; o = r + 10; n = g + 7; r = s + 18; v = z + 17; z = o + 18; f = v + 3; s = j + 11; y = p + 16; u = y + 2; d = n + 15; g = u + 2. If j = 14, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"o": "k + 20", "d": "o + 5", "a": "d + 3", "x": "a + 10", "e": "x + 13", "r": "e + 13", "f": "k + 20", "l": "f + 19", "z": "l + 20", "j": "z + 3", "i": "j + 8", "c": "i + 8", "k": 19}, "premises": {"k": 19}, "target": "r"}, "answer": {"steps": [["e", "x + 13", "x + 26"], ["x", "a + 10", "a + 36"], ["a", "d + 3", "d + 39"], ["d", "o + 5", "o + 44"], ["o", "k + 20", "k + 64"], ["k", 19, "83"]], "target_var_name": "r", "target_value": 83, "value_dict": {"k": 19}, "is_reverse": true}} | 22,035 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = a + 10; d = o + 5; c = i + 8; f = k + 20; l = f + 19; e = x + 13; r = e + 13; k = 19; z = l + 20; o = k + 20; j = z + 3; i = j + 8; a = d + 3. Given that k = 19, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = x + 13 to r, which gives r = x + 26.\n2. Substitute x = a + 10 to r, which gives r = a + 36.\n3. Substitute a = d + 3 to r, which gives r = d + 39.\n4. Substitute d = o + 5 to r, which gives r = o + 44.\n5. Substitute o = k + 20 to r, which gives r = k + 64.\n6. Substitute k = 19 to r, which gives r = 83.\n\nThus, the final answer is r = \\boxed{83}.",
"index": 22035,
"question": "Suppose a collection of variables is related by the following definitions: x = a + 10; d = o + 5; c = i + 8; f = k + 20; l = f + 19; e = x + 13; r = e + 13; k = 19; z = l + 20; o = k + 20; j = z + 3; i = j + 8; a = d + 3. Given that k = 19, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"y": "f + 20", "a": "y + 3", "g": "a + 1", "j": "g + 6", "z": "j + 6", "h": "z + 14", "s": "f + 1", "m": "s + 17", "k": "m + 6", "u": "k + 11", "x": "u + 2", "v": "x + 1", "f": 15}, "premises": {"f": 15}, "target": "h"}, "answer": {"steps": [["z", "j + 6", "j + 20"], ["j", "g + 6", "g + 26"], ["g", "a + 1", "a + 27"], ["a", "y + 3", "y + 30"], ["y", "f + 20", "f + 50"], ["f", 15, "65"]], "target_var_name": "h", "target_value": 65, "value_dict": {"f": 15}, "is_reverse": true}} | 22,036 | 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 = k + 11; x = u + 2; v = x + 1; j = g + 6; f = 15; k = m + 6; h = z + 14; m = s + 17; a = y + 3; s = f + 1; z = j + 6; y = f + 20; g = a + 1. If f = 15, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = j + 6 to h, which gives h = j + 20.\n2. Substitute j = g + 6 to h, which gives h = g + 26.\n3. Substitute g = a + 1 to h, which gives h = a + 27.\n4. Substitute a = y + 3 to h, which gives h = y + 30.\n5. Substitute y = f + 20 to h, which gives h = f + 50.\n6. Substitute f = 15 to h, which gives h = 65.\n\nThus, the final answer is h = \\boxed{65}.",
"index": 22036,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = k + 11; x = u + 2; v = x + 1; j = g + 6; f = 15; k = m + 6; h = z + 14; m = s + 17; a = y + 3; s = f + 1; z = j + 6; y = f + 20; g = a + 1. If f = 15, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"l": "k + 10", "r": "l + 18", "y": "r + 18", "d": "y + 14", "j": "d + 19", "g": "j + 10", "e": "k + 4", "q": "e + 16", "h": "q + 16", "o": "h + 3", "x": "o + 10", "a": "x + 14", "k": 14}, "premises": {"k": 14}, "target": "g"}, "answer": {"steps": [["j", "d + 19", "d + 29"], ["d", "y + 14", "y + 43"], ["y", "r + 18", "r + 61"], ["r", "l + 18", "l + 79"], ["l", "k + 10", "k + 89"], ["k", 14, "103"]], "target_var_name": "g", "target_value": 103, "value_dict": {"k": 14}, "is_reverse": true}} | 22,037 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = q + 16; x = o + 10; g = j + 10; r = l + 18; o = h + 3; j = d + 19; l = k + 10; k = 14; e = k + 4; d = y + 14; a = x + 14; y = r + 18; q = e + 16. Given that k = 14, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 103,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = d + 19 to g, which gives g = d + 29.\n2. Substitute d = y + 14 to g, which gives g = y + 43.\n3. Substitute y = r + 18 to g, which gives g = r + 61.\n4. Substitute r = l + 18 to g, which gives g = l + 79.\n5. Substitute l = k + 10 to g, which gives g = k + 89.\n6. Substitute k = 14 to g, which gives g = 103.\n\nThus, the final answer is g = \\boxed{103}.",
"index": 22037,
"question": "Suppose a collection of variables is related by the following definitions: h = q + 16; x = o + 10; g = j + 10; r = l + 18; o = h + 3; j = d + 19; l = k + 10; k = 14; e = k + 4; d = y + 14; a = x + 14; y = r + 18; q = e + 16. Given that k = 14, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"l": "n + 14", "u": "l + 16", "k": "u + 17", "c": "k + 20", "r": "c + 20", "h": "r + 2", "b": "n + 7", "d": "b + 8", "y": "d + 3", "s": "y + 2", "z": "s + 17", "v": "z + 10", "n": 7}, "premises": {"n": 7}, "target": "h"}, "answer": {"steps": [["r", "c + 20", "c + 22"], ["c", "k + 20", "k + 42"], ["k", "u + 17", "u + 59"], ["u", "l + 16", "l + 75"], ["l", "n + 14", "n + 89"], ["n", 7, "96"]], "target_var_name": "h", "target_value": 96, "value_dict": {"n": 7}, "is_reverse": true}} | 22,038 | 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 + 20; k = u + 17; h = r + 2; v = z + 10; u = l + 16; b = n + 7; l = n + 14; y = d + 3; c = k + 20; s = y + 2; d = b + 8; n = 7; z = s + 17. If n = 7, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = c + 20 to h, which gives h = c + 22.\n2. Substitute c = k + 20 to h, which gives h = k + 42.\n3. Substitute k = u + 17 to h, which gives h = u + 59.\n4. Substitute u = l + 16 to h, which gives h = l + 75.\n5. Substitute l = n + 14 to h, which gives h = n + 89.\n6. Substitute n = 7 to h, which gives h = 96.\n\nThus, the final answer is h = \\boxed{96}.",
"index": 22038,
"question": "Consider a system of variables where each variable is defined as follows: r = c + 20; k = u + 17; h = r + 2; v = z + 10; u = l + 16; b = n + 7; l = n + 14; y = d + 3; c = k + 20; s = y + 2; d = b + 8; n = 7; z = s + 17. If n = 7, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"z": "p + 6", "t": "z + 17", "v": "t + 9", "c": "v + 14", "y": "c + 10", "h": "y + 8", "k": "p + 20", "x": "k + 7", "n": "x + 18", "e": "n + 6", "d": "e + 13", "j": "d + 8", "p": 18}, "premises": {"p": 18}, "target": "h"}, "answer": {"steps": [["y", "c + 10", "c + 18"], ["c", "v + 14", "v + 32"], ["v", "t + 9", "t + 41"], ["t", "z + 17", "z + 58"], ["z", "p + 6", "p + 64"], ["p", 18, "82"]], "target_var_name": "h", "target_value": 82, "value_dict": {"p": 18}, "is_reverse": true}} | 22,039 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = p + 20; c = v + 14; x = k + 7; z = p + 6; p = 18; e = n + 6; t = z + 17; v = t + 9; d = e + 13; n = x + 18; y = c + 10; h = y + 8; j = d + 8. If p = 18, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = c + 10 to h, which gives h = c + 18.\n2. Substitute c = v + 14 to h, which gives h = v + 32.\n3. Substitute v = t + 9 to h, which gives h = t + 41.\n4. Substitute t = z + 17 to h, which gives h = z + 58.\n5. Substitute z = p + 6 to h, which gives h = p + 64.\n6. Substitute p = 18 to h, which gives h = 82.\n\nThus, the final answer is h = \\boxed{82}.",
"index": 22039,
"question": "Consider a system of variables where each variable is defined as follows: k = p + 20; c = v + 14; x = k + 7; z = p + 6; p = 18; e = n + 6; t = z + 17; v = t + 9; d = e + 13; n = x + 18; y = c + 10; h = y + 8; j = d + 8. If p = 18, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"a": "p + 5", "o": "a + 7", "c": "o + 19", "z": "c + 13", "k": "z + 3", "i": "k + 12", "v": "p + 17", "b": "v + 6", "x": "b + 18", "n": "x + 11", "h": "n + 3", "m": "h + 4", "p": 18}, "premises": {"p": 18}, "target": "i"}, "answer": {"steps": [["k", "z + 3", "z + 15"], ["z", "c + 13", "c + 28"], ["c", "o + 19", "o + 47"], ["o", "a + 7", "a + 54"], ["a", "p + 5", "p + 59"], ["p", 18, "77"]], "target_var_name": "i", "target_value": 77, "value_dict": {"p": 18}, "is_reverse": true}} | 22,040 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = k + 12; z = c + 13; h = n + 3; n = x + 11; m = h + 4; p = 18; v = p + 17; k = z + 3; a = p + 5; o = a + 7; c = o + 19; b = v + 6; x = b + 18. If p = 18, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = z + 3 to i, which gives i = z + 15.\n2. Substitute z = c + 13 to i, which gives i = c + 28.\n3. Substitute c = o + 19 to i, which gives i = o + 47.\n4. Substitute o = a + 7 to i, which gives i = a + 54.\n5. Substitute a = p + 5 to i, which gives i = p + 59.\n6. Substitute p = 18 to i, which gives i = 77.\n\nThus, the final answer is i = \\boxed{77}.",
"index": 22040,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = k + 12; z = c + 13; h = n + 3; n = x + 11; m = h + 4; p = 18; v = p + 17; k = z + 3; a = p + 5; o = a + 7; c = o + 19; b = v + 6; x = b + 18. If p = 18, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"b": "t + 2", "w": "b + 12", "e": "w + 17", "k": "e + 19", "r": "k + 8", "n": "r + 11", "c": "t + 1", "j": "c + 4", "q": "j + 12", "p": "q + 20", "g": "p + 12", "h": "g + 19", "t": 12}, "premises": {"t": 12}, "target": "n"}, "answer": {"steps": [["r", "k + 8", "k + 19"], ["k", "e + 19", "e + 38"], ["e", "w + 17", "w + 55"], ["w", "b + 12", "b + 67"], ["b", "t + 2", "t + 69"], ["t", 12, "81"]], "target_var_name": "n", "target_value": 81, "value_dict": {"t": 12}, "is_reverse": true}} | 22,041 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = c + 4; e = w + 17; c = t + 1; n = r + 11; p = q + 20; h = g + 19; k = e + 19; t = 12; q = j + 12; g = p + 12; w = b + 12; b = t + 2; r = k + 8. If t = 12, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = k + 8 to n, which gives n = k + 19.\n2. Substitute k = e + 19 to n, which gives n = e + 38.\n3. Substitute e = w + 17 to n, which gives n = w + 55.\n4. Substitute w = b + 12 to n, which gives n = b + 67.\n5. Substitute b = t + 2 to n, which gives n = t + 69.\n6. Substitute t = 12 to n, which gives n = 81.\n\nThus, the final answer is n = \\boxed{81}.",
"index": 22041,
"question": "Consider a system of variables where each variable is defined as follows: j = c + 4; e = w + 17; c = t + 1; n = r + 11; p = q + 20; h = g + 19; k = e + 19; t = 12; q = j + 12; g = p + 12; w = b + 12; b = t + 2; r = k + 8. If t = 12, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"h": "j + 20", "a": "h + 11", "t": "a + 19", "f": "t + 11", "r": "f + 16", "s": "r + 16", "z": "j + 6", "g": "z + 20", "w": "g + 13", "c": "w + 18", "k": "c + 20", "i": "k + 7", "j": 4}, "premises": {"j": 4}, "target": "s"}, "answer": {"steps": [["r", "f + 16", "f + 32"], ["f", "t + 11", "t + 43"], ["t", "a + 19", "a + 62"], ["a", "h + 11", "h + 73"], ["h", "j + 20", "j + 93"], ["j", 4, "97"]], "target_var_name": "s", "target_value": 97, "value_dict": {"j": 4}, "is_reverse": true}} | 22,042 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = t + 11; t = a + 19; i = k + 7; r = f + 16; k = c + 20; j = 4; w = g + 13; g = z + 20; c = w + 18; z = j + 6; h = j + 20; a = h + 11; s = r + 16. If j = 4, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = f + 16 to s, which gives s = f + 32.\n2. Substitute f = t + 11 to s, which gives s = t + 43.\n3. Substitute t = a + 19 to s, which gives s = a + 62.\n4. Substitute a = h + 11 to s, which gives s = h + 73.\n5. Substitute h = j + 20 to s, which gives s = j + 93.\n6. Substitute j = 4 to s, which gives s = 97.\n\nThus, the final answer is s = \\boxed{97}.",
"index": 22042,
"question": "Consider a system of variables where each variable is defined as follows: f = t + 11; t = a + 19; i = k + 7; r = f + 16; k = c + 20; j = 4; w = g + 13; g = z + 20; c = w + 18; z = j + 6; h = j + 20; a = h + 11; s = r + 16. If j = 4, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"t": "r + 16", "w": "t + 6", "y": "w + 8", "g": "y + 3", "d": "g + 13", "k": "d + 9", "v": "r + 2", "n": "v + 8", "q": "n + 7", "x": "q + 12", "o": "x + 8", "e": "o + 3", "r": 1}, "premises": {"r": 1}, "target": "k"}, "answer": {"steps": [["d", "g + 13", "g + 22"], ["g", "y + 3", "y + 25"], ["y", "w + 8", "w + 33"], ["w", "t + 6", "t + 39"], ["t", "r + 16", "r + 55"], ["r", 1, "56"]], "target_var_name": "k", "target_value": 56, "value_dict": {"r": 1}, "is_reverse": true}} | 22,043 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = x + 8; r = 1; y = w + 8; k = d + 9; d = g + 13; q = n + 7; x = q + 12; e = o + 3; v = r + 2; t = r + 16; w = t + 6; n = v + 8; g = y + 3. If r = 1, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = g + 13 to k, which gives k = g + 22.\n2. Substitute g = y + 3 to k, which gives k = y + 25.\n3. Substitute y = w + 8 to k, which gives k = w + 33.\n4. Substitute w = t + 6 to k, which gives k = t + 39.\n5. Substitute t = r + 16 to k, which gives k = r + 55.\n6. Substitute r = 1 to k, which gives k = 56.\n\nThus, the final answer is k = \\boxed{56}.",
"index": 22043,
"question": "Consider a system of variables where each variable is defined as follows: o = x + 8; r = 1; y = w + 8; k = d + 9; d = g + 13; q = n + 7; x = q + 12; e = o + 3; v = r + 2; t = r + 16; w = t + 6; n = v + 8; g = y + 3. If r = 1, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"o": "x + 6", "c": "o + 8", "a": "c + 8", "z": "a + 10", "t": "z + 14", "n": "t + 3", "e": "x + 20", "v": "e + 12", "q": "v + 6", "b": "q + 14", "s": "b + 8", "m": "s + 6", "x": 2}, "premises": {"x": 2}, "target": "n"}, "answer": {"steps": [["t", "z + 14", "z + 17"], ["z", "a + 10", "a + 27"], ["a", "c + 8", "c + 35"], ["c", "o + 8", "o + 43"], ["o", "x + 6", "x + 49"], ["x", 2, "51"]], "target_var_name": "n", "target_value": 51, "value_dict": {"x": 2}, "is_reverse": true}} | 22,044 | 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 = x + 6; q = v + 6; n = t + 3; e = x + 20; v = e + 12; m = s + 6; t = z + 14; b = q + 14; a = c + 8; s = b + 8; z = a + 10; c = o + 8; x = 2. If x = 2, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = z + 14 to n, which gives n = z + 17.\n2. Substitute z = a + 10 to n, which gives n = a + 27.\n3. Substitute a = c + 8 to n, which gives n = c + 35.\n4. Substitute c = o + 8 to n, which gives n = o + 43.\n5. Substitute o = x + 6 to n, which gives n = x + 49.\n6. Substitute x = 2 to n, which gives n = 51.\n\nThus, the final answer is n = \\boxed{51}.",
"index": 22044,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = x + 6; q = v + 6; n = t + 3; e = x + 20; v = e + 12; m = s + 6; t = z + 14; b = q + 14; a = c + 8; s = b + 8; z = a + 10; c = o + 8; x = 2. If x = 2, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"t": "k + 13", "o": "t + 18", "i": "o + 1", "w": "i + 18", "z": "w + 10", "x": "z + 3", "r": "k + 17", "h": "r + 14", "a": "h + 8", "b": "a + 10", "d": "b + 5", "s": "d + 19", "k": 16}, "premises": {"k": 16}, "target": "x"}, "answer": {"steps": [["z", "w + 10", "w + 13"], ["w", "i + 18", "i + 31"], ["i", "o + 1", "o + 32"], ["o", "t + 18", "t + 50"], ["t", "k + 13", "k + 63"], ["k", 16, "79"]], "target_var_name": "x", "target_value": 79, "value_dict": {"k": 16}, "is_reverse": true}} | 22,045 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = h + 8; w = i + 18; x = z + 3; b = a + 10; h = r + 14; k = 16; d = b + 5; r = k + 17; z = w + 10; s = d + 19; i = o + 1; t = k + 13; o = t + 18. If k = 16, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = w + 10 to x, which gives x = w + 13.\n2. Substitute w = i + 18 to x, which gives x = i + 31.\n3. Substitute i = o + 1 to x, which gives x = o + 32.\n4. Substitute o = t + 18 to x, which gives x = t + 50.\n5. Substitute t = k + 13 to x, which gives x = k + 63.\n6. Substitute k = 16 to x, which gives x = 79.\n\nThus, the final answer is x = \\boxed{79}.",
"index": 22045,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = h + 8; w = i + 18; x = z + 3; b = a + 10; h = r + 14; k = 16; d = b + 5; r = k + 17; z = w + 10; s = d + 19; i = o + 1; t = k + 13; o = t + 18. If k = 16, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"d": "z + 9", "y": "d + 14", "c": "y + 11", "j": "c + 5", "n": "j + 11", "o": "n + 16", "a": "z + 20", "i": "a + 6", "w": "i + 10", "e": "w + 6", "h": "e + 17", "s": "h + 12", "z": 9}, "premises": {"z": 9}, "target": "o"}, "answer": {"steps": [["n", "j + 11", "j + 27"], ["j", "c + 5", "c + 32"], ["c", "y + 11", "y + 43"], ["y", "d + 14", "d + 57"], ["d", "z + 9", "z + 66"], ["z", 9, "75"]], "target_var_name": "o", "target_value": 75, "value_dict": {"z": 9}, "is_reverse": true}} | 22,046 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = e + 17; w = i + 10; c = y + 11; s = h + 12; e = w + 6; z = 9; j = c + 5; a = z + 20; d = z + 9; o = n + 16; n = j + 11; i = a + 6; y = d + 14. Given that z = 9, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = j + 11 to o, which gives o = j + 27.\n2. Substitute j = c + 5 to o, which gives o = c + 32.\n3. Substitute c = y + 11 to o, which gives o = y + 43.\n4. Substitute y = d + 14 to o, which gives o = d + 57.\n5. Substitute d = z + 9 to o, which gives o = z + 66.\n6. Substitute z = 9 to o, which gives o = 75.\n\nThus, the final answer is o = \\boxed{75}.",
"index": 22046,
"question": "Suppose a collection of variables is related by the following definitions: h = e + 17; w = i + 10; c = y + 11; s = h + 12; e = w + 6; z = 9; j = c + 5; a = z + 20; d = z + 9; o = n + 16; n = j + 11; i = a + 6; y = d + 14. Given that z = 9, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"e": "p + 6", "w": "e + 16", "f": "w + 7", "i": "f + 20", "n": "i + 14", "u": "n + 12", "x": "p + 17", "t": "x + 13", "g": "t + 13", "o": "g + 19", "a": "o + 12", "j": "a + 2", "p": 18}, "premises": {"p": 18}, "target": "u"}, "answer": {"steps": [["n", "i + 14", "i + 26"], ["i", "f + 20", "f + 46"], ["f", "w + 7", "w + 53"], ["w", "e + 16", "e + 69"], ["e", "p + 6", "p + 75"], ["p", 18, "93"]], "target_var_name": "u", "target_value": 93, "value_dict": {"p": 18}, "is_reverse": true}} | 22,047 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = e + 16; n = i + 14; p = 18; a = o + 12; g = t + 13; x = p + 17; t = x + 13; o = g + 19; i = f + 20; f = w + 7; j = a + 2; u = n + 12; e = p + 6. If p = 18, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = i + 14 to u, which gives u = i + 26.\n2. Substitute i = f + 20 to u, which gives u = f + 46.\n3. Substitute f = w + 7 to u, which gives u = w + 53.\n4. Substitute w = e + 16 to u, which gives u = e + 69.\n5. Substitute e = p + 6 to u, which gives u = p + 75.\n6. Substitute p = 18 to u, which gives u = 93.\n\nThus, the final answer is u = \\boxed{93}.",
"index": 22047,
"question": "Consider a system of variables where each variable is defined as follows: w = e + 16; n = i + 14; p = 18; a = o + 12; g = t + 13; x = p + 17; t = x + 13; o = g + 19; i = f + 20; f = w + 7; j = a + 2; u = n + 12; e = p + 6. If p = 18, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"x": "n + 8", "r": "x + 6", "g": "r + 11", "m": "g + 19", "a": "m + 6", "k": "a + 3", "j": "n + 2", "c": "j + 3", "u": "c + 11", "o": "u + 12", "w": "o + 15", "q": "w + 18", "n": 3}, "premises": {"n": 3}, "target": "k"}, "answer": {"steps": [["a", "m + 6", "m + 9"], ["m", "g + 19", "g + 28"], ["g", "r + 11", "r + 39"], ["r", "x + 6", "x + 45"], ["x", "n + 8", "n + 53"], ["n", 3, "56"]], "target_var_name": "k", "target_value": 56, "value_dict": {"n": 3}, "is_reverse": true}} | 22,048 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = m + 6; q = w + 18; r = x + 6; x = n + 8; w = o + 15; n = 3; j = n + 2; m = g + 19; o = u + 12; g = r + 11; k = a + 3; u = c + 11; c = j + 3. If n = 3, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = m + 6 to k, which gives k = m + 9.\n2. Substitute m = g + 19 to k, which gives k = g + 28.\n3. Substitute g = r + 11 to k, which gives k = r + 39.\n4. Substitute r = x + 6 to k, which gives k = x + 45.\n5. Substitute x = n + 8 to k, which gives k = n + 53.\n6. Substitute n = 3 to k, which gives k = 56.\n\nThus, the final answer is k = \\boxed{56}.",
"index": 22048,
"question": "Consider a system of variables where each variable is defined as follows: a = m + 6; q = w + 18; r = x + 6; x = n + 8; w = o + 15; n = 3; j = n + 2; m = g + 19; o = u + 12; g = r + 11; k = a + 3; u = c + 11; c = j + 3. If n = 3, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"z": "w + 10", "l": "z + 16", "s": "l + 16", "h": "s + 11", "x": "h + 4", "p": "x + 4", "d": "w + 7", "b": "d + 16", "r": "b + 5", "u": "r + 5", "i": "u + 20", "m": "i + 9", "w": 19}, "premises": {"w": 19}, "target": "p"}, "answer": {"steps": [["x", "h + 4", "h + 8"], ["h", "s + 11", "s + 19"], ["s", "l + 16", "l + 35"], ["l", "z + 16", "z + 51"], ["z", "w + 10", "w + 61"], ["w", 19, "80"]], "target_var_name": "p", "target_value": 80, "value_dict": {"w": 19}, "is_reverse": true}} | 22,049 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = i + 9; u = r + 5; x = h + 4; h = s + 11; z = w + 10; i = u + 20; p = x + 4; w = 19; d = w + 7; l = z + 16; s = l + 16; b = d + 16; r = b + 5. If w = 19, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = h + 4 to p, which gives p = h + 8.\n2. Substitute h = s + 11 to p, which gives p = s + 19.\n3. Substitute s = l + 16 to p, which gives p = l + 35.\n4. Substitute l = z + 16 to p, which gives p = z + 51.\n5. Substitute z = w + 10 to p, which gives p = w + 61.\n6. Substitute w = 19 to p, which gives p = 80.\n\nThus, the final answer is p = \\boxed{80}.",
"index": 22049,
"question": "Consider a system of variables where each variable is defined as follows: m = i + 9; u = r + 5; x = h + 4; h = s + 11; z = w + 10; i = u + 20; p = x + 4; w = 19; d = w + 7; l = z + 16; s = l + 16; b = d + 16; r = b + 5. If w = 19, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"n": "v + 17", "l": "n + 16", "k": "l + 11", "h": "k + 20", "w": "h + 9", "c": "w + 15", "s": "v + 6", "d": "s + 3", "m": "d + 9", "o": "m + 12", "q": "o + 6", "x": "q + 18", "v": 19}, "premises": {"v": 19}, "target": "c"}, "answer": {"steps": [["w", "h + 9", "h + 24"], ["h", "k + 20", "k + 44"], ["k", "l + 11", "l + 55"], ["l", "n + 16", "n + 71"], ["n", "v + 17", "v + 88"], ["v", 19, "107"]], "target_var_name": "c", "target_value": 107, "value_dict": {"v": 19}, "is_reverse": true}} | 22,050 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = l + 11; l = n + 16; c = w + 15; x = q + 18; n = v + 17; q = o + 6; v = 19; w = h + 9; d = s + 3; s = v + 6; o = m + 12; h = k + 20; m = d + 9. If v = 19, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 107,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = h + 9 to c, which gives c = h + 24.\n2. Substitute h = k + 20 to c, which gives c = k + 44.\n3. Substitute k = l + 11 to c, which gives c = l + 55.\n4. Substitute l = n + 16 to c, which gives c = n + 71.\n5. Substitute n = v + 17 to c, which gives c = v + 88.\n6. Substitute v = 19 to c, which gives c = 107.\n\nThus, the final answer is c = \\boxed{107}.",
"index": 22050,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = l + 11; l = n + 16; c = w + 15; x = q + 18; n = v + 17; q = o + 6; v = 19; w = h + 9; d = s + 3; s = v + 6; o = m + 12; h = k + 20; m = d + 9. If v = 19, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"d": "b + 13", "c": "d + 3", "y": "c + 8", "m": "y + 2", "z": "m + 10", "l": "z + 15", "a": "b + 16", "k": "a + 12", "e": "k + 19", "v": "e + 14", "j": "v + 19", "q": "j + 14", "b": 8}, "premises": {"b": 8}, "target": "l"}, "answer": {"steps": [["z", "m + 10", "m + 25"], ["m", "y + 2", "y + 27"], ["y", "c + 8", "c + 35"], ["c", "d + 3", "d + 38"], ["d", "b + 13", "b + 51"], ["b", 8, "59"]], "target_var_name": "l", "target_value": 59, "value_dict": {"b": 8}, "is_reverse": true}} | 22,051 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = a + 12; z = m + 10; b = 8; y = c + 8; d = b + 13; q = j + 14; j = v + 19; m = y + 2; a = b + 16; e = k + 19; c = d + 3; v = e + 14; l = z + 15. If b = 8, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = m + 10 to l, which gives l = m + 25.\n2. Substitute m = y + 2 to l, which gives l = y + 27.\n3. Substitute y = c + 8 to l, which gives l = c + 35.\n4. Substitute c = d + 3 to l, which gives l = d + 38.\n5. Substitute d = b + 13 to l, which gives l = b + 51.\n6. Substitute b = 8 to l, which gives l = 59.\n\nThus, the final answer is l = \\boxed{59}.",
"index": 22051,
"question": "Consider a system of variables where each variable is defined as follows: k = a + 12; z = m + 10; b = 8; y = c + 8; d = b + 13; q = j + 14; j = v + 19; m = y + 2; a = b + 16; e = k + 19; c = d + 3; v = e + 14; l = z + 15. If b = 8, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"w": "h + 7", "t": "w + 16", "q": "t + 6", "u": "q + 20", "e": "u + 15", "v": "e + 7", "j": "h + 13", "x": "j + 19", "m": "x + 2", "d": "m + 8", "r": "d + 20", "p": "r + 11", "h": 14}, "premises": {"h": 14}, "target": "v"}, "answer": {"steps": [["e", "u + 15", "u + 22"], ["u", "q + 20", "q + 42"], ["q", "t + 6", "t + 48"], ["t", "w + 16", "w + 64"], ["w", "h + 7", "h + 71"], ["h", 14, "85"]], "target_var_name": "v", "target_value": 85, "value_dict": {"h": 14}, "is_reverse": true}} | 22,052 | 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 + 2; r = d + 20; p = r + 11; u = q + 20; h = 14; x = j + 19; v = e + 7; q = t + 6; t = w + 16; j = h + 13; d = m + 8; e = u + 15; w = h + 7. If h = 14, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = u + 15 to v, which gives v = u + 22.\n2. Substitute u = q + 20 to v, which gives v = q + 42.\n3. Substitute q = t + 6 to v, which gives v = t + 48.\n4. Substitute t = w + 16 to v, which gives v = w + 64.\n5. Substitute w = h + 7 to v, which gives v = h + 71.\n6. Substitute h = 14 to v, which gives v = 85.\n\nThus, the final answer is v = \\boxed{85}.",
"index": 22052,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = x + 2; r = d + 20; p = r + 11; u = q + 20; h = 14; x = j + 19; v = e + 7; q = t + 6; t = w + 16; j = h + 13; d = m + 8; e = u + 15; w = h + 7. If h = 14, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"i": "b + 3", "x": "i + 9", "c": "x + 13", "z": "c + 14", "s": "z + 15", "k": "s + 6", "a": "b + 5", "g": "a + 14", "m": "g + 6", "l": "m + 3", "u": "l + 4", "y": "u + 18", "b": 17}, "premises": {"b": 17}, "target": "k"}, "answer": {"steps": [["s", "z + 15", "z + 21"], ["z", "c + 14", "c + 35"], ["c", "x + 13", "x + 48"], ["x", "i + 9", "i + 57"], ["i", "b + 3", "b + 60"], ["b", 17, "77"]], "target_var_name": "k", "target_value": 77, "value_dict": {"b": 17}, "is_reverse": true}} | 22,053 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = l + 4; m = g + 6; l = m + 3; c = x + 13; b = 17; k = s + 6; z = c + 14; y = u + 18; i = b + 3; s = z + 15; a = b + 5; x = i + 9; g = a + 14. If b = 17, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = z + 15 to k, which gives k = z + 21.\n2. Substitute z = c + 14 to k, which gives k = c + 35.\n3. Substitute c = x + 13 to k, which gives k = x + 48.\n4. Substitute x = i + 9 to k, which gives k = i + 57.\n5. Substitute i = b + 3 to k, which gives k = b + 60.\n6. Substitute b = 17 to k, which gives k = 77.\n\nThus, the final answer is k = \\boxed{77}.",
"index": 22053,
"question": "Consider a system of variables where each variable is defined as follows: u = l + 4; m = g + 6; l = m + 3; c = x + 13; b = 17; k = s + 6; z = c + 14; y = u + 18; i = b + 3; s = z + 15; a = b + 5; x = i + 9; g = a + 14. If b = 17, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"a": "p + 3", "x": "a + 2", "q": "x + 6", "l": "q + 12", "s": "l + 18", "o": "s + 9", "v": "p + 11", "w": "v + 20", "c": "w + 1", "r": "c + 20", "k": "r + 18", "f": "k + 20", "p": 8}, "premises": {"p": 8}, "target": "o"}, "answer": {"steps": [["s", "l + 18", "l + 27"], ["l", "q + 12", "q + 39"], ["q", "x + 6", "x + 45"], ["x", "a + 2", "a + 47"], ["a", "p + 3", "p + 50"], ["p", 8, "58"]], "target_var_name": "o", "target_value": 58, "value_dict": {"p": 8}, "is_reverse": true}} | 22,054 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = k + 20; p = 8; q = x + 6; o = s + 9; w = v + 20; v = p + 11; c = w + 1; r = c + 20; k = r + 18; l = q + 12; x = a + 2; a = p + 3; s = l + 18. Given that p = 8, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = l + 18 to o, which gives o = l + 27.\n2. Substitute l = q + 12 to o, which gives o = q + 39.\n3. Substitute q = x + 6 to o, which gives o = x + 45.\n4. Substitute x = a + 2 to o, which gives o = a + 47.\n5. Substitute a = p + 3 to o, which gives o = p + 50.\n6. Substitute p = 8 to o, which gives o = 58.\n\nThus, the final answer is o = \\boxed{58}.",
"index": 22054,
"question": "Suppose a collection of variables is related by the following definitions: f = k + 20; p = 8; q = x + 6; o = s + 9; w = v + 20; v = p + 11; c = w + 1; r = c + 20; k = r + 18; l = q + 12; x = a + 2; a = p + 3; s = l + 18. Given that p = 8, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"x": "p + 2", "o": "x + 10", "z": "o + 10", "d": "z + 2", "e": "d + 10", "g": "e + 3", "h": "p + 1", "m": "h + 1", "c": "m + 19", "s": "c + 18", "u": "s + 7", "r": "u + 1", "p": 11}, "premises": {"p": 11}, "target": "g"}, "answer": {"steps": [["e", "d + 10", "d + 13"], ["d", "z + 2", "z + 15"], ["z", "o + 10", "o + 25"], ["o", "x + 10", "x + 35"], ["x", "p + 2", "p + 37"], ["p", 11, "48"]], "target_var_name": "g", "target_value": 48, "value_dict": {"p": 11}, "is_reverse": true}} | 22,055 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = d + 10; c = m + 19; p = 11; d = z + 2; z = o + 10; u = s + 7; h = p + 1; g = e + 3; o = x + 10; r = u + 1; s = c + 18; m = h + 1; x = p + 2. Given that p = 11, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = d + 10 to g, which gives g = d + 13.\n2. Substitute d = z + 2 to g, which gives g = z + 15.\n3. Substitute z = o + 10 to g, which gives g = o + 25.\n4. Substitute o = x + 10 to g, which gives g = x + 35.\n5. Substitute x = p + 2 to g, which gives g = p + 37.\n6. Substitute p = 11 to g, which gives g = 48.\n\nThus, the final answer is g = \\boxed{48}.",
"index": 22055,
"question": "Suppose a collection of variables is related by the following definitions: e = d + 10; c = m + 19; p = 11; d = z + 2; z = o + 10; u = s + 7; h = p + 1; g = e + 3; o = x + 10; r = u + 1; s = c + 18; m = h + 1; x = p + 2. Given that p = 11, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"v": "u + 8", "n": "v + 10", "p": "n + 14", "k": "p + 20", "d": "k + 7", "j": "d + 17", "e": "u + 16", "o": "e + 20", "i": "o + 1", "m": "i + 17", "r": "m + 20", "z": "r + 7", "u": 1}, "premises": {"u": 1}, "target": "j"}, "answer": {"steps": [["d", "k + 7", "k + 24"], ["k", "p + 20", "p + 44"], ["p", "n + 14", "n + 58"], ["n", "v + 10", "v + 68"], ["v", "u + 8", "u + 76"], ["u", 1, "77"]], "target_var_name": "j", "target_value": 77, "value_dict": {"u": 1}, "is_reverse": true}} | 22,056 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = 1; k = p + 20; i = o + 1; o = e + 20; j = d + 17; d = k + 7; r = m + 20; v = u + 8; m = i + 17; n = v + 10; z = r + 7; e = u + 16; p = n + 14. Given that u = 1, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = k + 7 to j, which gives j = k + 24.\n2. Substitute k = p + 20 to j, which gives j = p + 44.\n3. Substitute p = n + 14 to j, which gives j = n + 58.\n4. Substitute n = v + 10 to j, which gives j = v + 68.\n5. Substitute v = u + 8 to j, which gives j = u + 76.\n6. Substitute u = 1 to j, which gives j = 77.\n\nThus, the final answer is j = \\boxed{77}.",
"index": 22056,
"question": "Suppose a collection of variables is related by the following definitions: u = 1; k = p + 20; i = o + 1; o = e + 20; j = d + 17; d = k + 7; r = m + 20; v = u + 8; m = i + 17; n = v + 10; z = r + 7; e = u + 16; p = n + 14. Given that u = 1, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"r": "s + 10", "y": "r + 19", "i": "y + 10", "c": "i + 18", "q": "c + 13", "f": "q + 6", "g": "s + 15", "b": "g + 17", "e": "b + 9", "t": "e + 20", "k": "t + 4", "v": "k + 4", "s": 11}, "premises": {"s": 11}, "target": "f"}, "answer": {"steps": [["q", "c + 13", "c + 19"], ["c", "i + 18", "i + 37"], ["i", "y + 10", "y + 47"], ["y", "r + 19", "r + 66"], ["r", "s + 10", "s + 76"], ["s", 11, "87"]], "target_var_name": "f", "target_value": 87, "value_dict": {"s": 11}, "is_reverse": true}} | 22,057 | 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 = y + 10; b = g + 17; f = q + 6; k = t + 4; v = k + 4; s = 11; c = i + 18; t = e + 20; e = b + 9; y = r + 19; q = c + 13; g = s + 15; r = s + 10. If s = 11, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = c + 13 to f, which gives f = c + 19.\n2. Substitute c = i + 18 to f, which gives f = i + 37.\n3. Substitute i = y + 10 to f, which gives f = y + 47.\n4. Substitute y = r + 19 to f, which gives f = r + 66.\n5. Substitute r = s + 10 to f, which gives f = s + 76.\n6. Substitute s = 11 to f, which gives f = 87.\n\nThus, the final answer is f = \\boxed{87}.",
"index": 22057,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = y + 10; b = g + 17; f = q + 6; k = t + 4; v = k + 4; s = 11; c = i + 18; t = e + 20; e = b + 9; y = r + 19; q = c + 13; g = s + 15; r = s + 10. If s = 11, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"e": "y + 15", "k": "e + 15", "t": "k + 2", "q": "t + 19", "s": "q + 18", "h": "s + 14", "p": "y + 5", "b": "p + 10", "l": "b + 2", "n": "l + 13", "w": "n + 20", "m": "w + 4", "y": 15}, "premises": {"y": 15}, "target": "h"}, "answer": {"steps": [["s", "q + 18", "q + 32"], ["q", "t + 19", "t + 51"], ["t", "k + 2", "k + 53"], ["k", "e + 15", "e + 68"], ["e", "y + 15", "y + 83"], ["y", 15, "98"]], "target_var_name": "h", "target_value": 98, "value_dict": {"y": 15}, "is_reverse": true}} | 22,058 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = e + 15; w = n + 20; q = t + 19; n = l + 13; l = b + 2; t = k + 2; h = s + 14; b = p + 10; s = q + 18; e = y + 15; m = w + 4; p = y + 5; y = 15. If y = 15, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = q + 18 to h, which gives h = q + 32.\n2. Substitute q = t + 19 to h, which gives h = t + 51.\n3. Substitute t = k + 2 to h, which gives h = k + 53.\n4. Substitute k = e + 15 to h, which gives h = e + 68.\n5. Substitute e = y + 15 to h, which gives h = y + 83.\n6. Substitute y = 15 to h, which gives h = 98.\n\nThus, the final answer is h = \\boxed{98}.",
"index": 22058,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = e + 15; w = n + 20; q = t + 19; n = l + 13; l = b + 2; t = k + 2; h = s + 14; b = p + 10; s = q + 18; e = y + 15; m = w + 4; p = y + 5; y = 15. If y = 15, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"c": "h + 12", "b": "c + 6", "u": "b + 13", "k": "u + 3", "n": "k + 14", "y": "n + 2", "o": "h + 12", "x": "o + 12", "a": "x + 5", "v": "a + 13", "m": "v + 10", "t": "m + 9", "h": 12}, "premises": {"h": 12}, "target": "y"}, "answer": {"steps": [["n", "k + 14", "k + 16"], ["k", "u + 3", "u + 19"], ["u", "b + 13", "b + 32"], ["b", "c + 6", "c + 38"], ["c", "h + 12", "h + 50"], ["h", 12, "62"]], "target_var_name": "y", "target_value": 62, "value_dict": {"h": 12}, "is_reverse": true}} | 22,059 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = 12; a = x + 5; n = k + 14; v = a + 13; t = m + 9; y = n + 2; c = h + 12; m = v + 10; u = b + 13; o = h + 12; k = u + 3; x = o + 12; b = c + 6. If h = 12, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = k + 14 to y, which gives y = k + 16.\n2. Substitute k = u + 3 to y, which gives y = u + 19.\n3. Substitute u = b + 13 to y, which gives y = b + 32.\n4. Substitute b = c + 6 to y, which gives y = c + 38.\n5. Substitute c = h + 12 to y, which gives y = h + 50.\n6. Substitute h = 12 to y, which gives y = 62.\n\nThus, the final answer is y = \\boxed{62}.",
"index": 22059,
"question": "Consider a system of variables where each variable is defined as follows: h = 12; a = x + 5; n = k + 14; v = a + 13; t = m + 9; y = n + 2; c = h + 12; m = v + 10; u = b + 13; o = h + 12; k = u + 3; x = o + 12; b = c + 6. If h = 12, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"x": "i + 4", "g": "x + 13", "p": "g + 1", "o": "p + 6", "n": "o + 8", "e": "n + 8", "y": "i + 5", "z": "y + 17", "m": "z + 15", "v": "m + 4", "k": "v + 9", "a": "k + 3", "i": 15}, "premises": {"i": 15}, "target": "e"}, "answer": {"steps": [["n", "o + 8", "o + 16"], ["o", "p + 6", "p + 22"], ["p", "g + 1", "g + 23"], ["g", "x + 13", "x + 36"], ["x", "i + 4", "i + 40"], ["i", 15, "55"]], "target_var_name": "e", "target_value": 55, "value_dict": {"i": 15}, "is_reverse": true}} | 22,060 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = g + 1; e = n + 8; k = v + 9; n = o + 8; g = x + 13; v = m + 4; z = y + 17; o = p + 6; m = z + 15; x = i + 4; i = 15; a = k + 3; y = i + 5. Given that i = 15, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = o + 8 to e, which gives e = o + 16.\n2. Substitute o = p + 6 to e, which gives e = p + 22.\n3. Substitute p = g + 1 to e, which gives e = g + 23.\n4. Substitute g = x + 13 to e, which gives e = x + 36.\n5. Substitute x = i + 4 to e, which gives e = i + 40.\n6. Substitute i = 15 to e, which gives e = 55.\n\nThus, the final answer is e = \\boxed{55}.",
"index": 22060,
"question": "Suppose a collection of variables is related by the following definitions: p = g + 1; e = n + 8; k = v + 9; n = o + 8; g = x + 13; v = m + 4; z = y + 17; o = p + 6; m = z + 15; x = i + 4; i = 15; a = k + 3; y = i + 5. Given that i = 15, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"w": "e + 16", "i": "w + 4", "r": "i + 11", "y": "r + 20", "u": "y + 6", "p": "u + 8", "j": "e + 12", "q": "j + 11", "d": "q + 19", "x": "d + 19", "s": "x + 8", "b": "s + 15", "e": 6}, "premises": {"e": 6}, "target": "p"}, "answer": {"steps": [["u", "y + 6", "y + 14"], ["y", "r + 20", "r + 34"], ["r", "i + 11", "i + 45"], ["i", "w + 4", "w + 49"], ["w", "e + 16", "e + 65"], ["e", 6, "71"]], "target_var_name": "p", "target_value": 71, "value_dict": {"e": 6}, "is_reverse": true}} | 22,061 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = 6; d = q + 19; b = s + 15; p = u + 8; j = e + 12; w = e + 16; r = i + 11; q = j + 11; y = r + 20; x = d + 19; i = w + 4; s = x + 8; u = y + 6. If e = 6, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = y + 6 to p, which gives p = y + 14.\n2. Substitute y = r + 20 to p, which gives p = r + 34.\n3. Substitute r = i + 11 to p, which gives p = i + 45.\n4. Substitute i = w + 4 to p, which gives p = w + 49.\n5. Substitute w = e + 16 to p, which gives p = e + 65.\n6. Substitute e = 6 to p, which gives p = 71.\n\nThus, the final answer is p = \\boxed{71}.",
"index": 22061,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = 6; d = q + 19; b = s + 15; p = u + 8; j = e + 12; w = e + 16; r = i + 11; q = j + 11; y = r + 20; x = d + 19; i = w + 4; s = x + 8; u = y + 6. If e = 6, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"i": "q + 4", "x": "i + 3", "r": "x + 18", "f": "r + 15", "k": "f + 13", "p": "k + 10", "b": "q + 1", "g": "b + 11", "h": "g + 4", "v": "h + 20", "w": "v + 18", "o": "w + 20", "q": 14}, "premises": {"q": 14}, "target": "p"}, "answer": {"steps": [["k", "f + 13", "f + 23"], ["f", "r + 15", "r + 38"], ["r", "x + 18", "x + 56"], ["x", "i + 3", "i + 59"], ["i", "q + 4", "q + 63"], ["q", 14, "77"]], "target_var_name": "p", "target_value": 77, "value_dict": {"q": 14}, "is_reverse": true}} | 22,062 | 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 = g + 4; i = q + 4; f = r + 15; r = x + 18; b = q + 1; w = v + 18; v = h + 20; k = f + 13; x = i + 3; q = 14; p = k + 10; g = b + 11; o = w + 20. If q = 14, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = f + 13 to p, which gives p = f + 23.\n2. Substitute f = r + 15 to p, which gives p = r + 38.\n3. Substitute r = x + 18 to p, which gives p = x + 56.\n4. Substitute x = i + 3 to p, which gives p = i + 59.\n5. Substitute i = q + 4 to p, which gives p = q + 63.\n6. Substitute q = 14 to p, which gives p = 77.\n\nThus, the final answer is p = \\boxed{77}.",
"index": 22062,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = g + 4; i = q + 4; f = r + 15; r = x + 18; b = q + 1; w = v + 18; v = h + 20; k = f + 13; x = i + 3; q = 14; p = k + 10; g = b + 11; o = w + 20. If q = 14, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"t": "l + 13", "j": "t + 19", "r": "j + 14", "m": "r + 18", "k": "m + 4", "e": "k + 20", "s": "l + 6", "a": "s + 16", "b": "a + 3", "u": "b + 7", "f": "u + 6", "h": "f + 20", "l": 7}, "premises": {"l": 7}, "target": "e"}, "answer": {"steps": [["k", "m + 4", "m + 24"], ["m", "r + 18", "r + 42"], ["r", "j + 14", "j + 56"], ["j", "t + 19", "t + 75"], ["t", "l + 13", "l + 88"], ["l", 7, "95"]], "target_var_name": "e", "target_value": 95, "value_dict": {"l": 7}, "is_reverse": true}} | 22,063 | 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 + 6; r = j + 14; e = k + 20; j = t + 19; u = b + 7; k = m + 4; t = l + 13; l = 7; s = l + 6; h = f + 20; b = a + 3; a = s + 16; m = r + 18. If l = 7, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = m + 4 to e, which gives e = m + 24.\n2. Substitute m = r + 18 to e, which gives e = r + 42.\n3. Substitute r = j + 14 to e, which gives e = j + 56.\n4. Substitute j = t + 19 to e, which gives e = t + 75.\n5. Substitute t = l + 13 to e, which gives e = l + 88.\n6. Substitute l = 7 to e, which gives e = 95.\n\nThus, the final answer is e = \\boxed{95}.",
"index": 22063,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = u + 6; r = j + 14; e = k + 20; j = t + 19; u = b + 7; k = m + 4; t = l + 13; l = 7; s = l + 6; h = f + 20; b = a + 3; a = s + 16; m = r + 18. If l = 7, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"r": "z + 3", "k": "r + 18", "o": "k + 9", "x": "o + 2", "c": "x + 15", "m": "c + 8", "h": "z + 17", "i": "h + 6", "w": "i + 16", "d": "w + 20", "y": "d + 4", "g": "y + 15", "z": 19}, "premises": {"z": 19}, "target": "m"}, "answer": {"steps": [["c", "x + 15", "x + 23"], ["x", "o + 2", "o + 25"], ["o", "k + 9", "k + 34"], ["k", "r + 18", "r + 52"], ["r", "z + 3", "z + 55"], ["z", 19, "74"]], "target_var_name": "m", "target_value": 74, "value_dict": {"z": 19}, "is_reverse": true}} | 22,064 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = h + 6; k = r + 18; o = k + 9; h = z + 17; w = i + 16; y = d + 4; m = c + 8; g = y + 15; d = w + 20; z = 19; r = z + 3; x = o + 2; c = x + 15. If z = 19, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = x + 15 to m, which gives m = x + 23.\n2. Substitute x = o + 2 to m, which gives m = o + 25.\n3. Substitute o = k + 9 to m, which gives m = k + 34.\n4. Substitute k = r + 18 to m, which gives m = r + 52.\n5. Substitute r = z + 3 to m, which gives m = z + 55.\n6. Substitute z = 19 to m, which gives m = 74.\n\nThus, the final answer is m = \\boxed{74}.",
"index": 22064,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = h + 6; k = r + 18; o = k + 9; h = z + 17; w = i + 16; y = d + 4; m = c + 8; g = y + 15; d = w + 20; z = 19; r = z + 3; x = o + 2; c = x + 15. If z = 19, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"j": "l + 3", "d": "j + 15", "u": "d + 20", "f": "u + 1", "e": "f + 4", "n": "e + 7", "h": "l + 10", "v": "h + 11", "x": "v + 19", "g": "x + 3", "b": "g + 17", "p": "b + 15", "l": 2}, "premises": {"l": 2}, "target": "n"}, "answer": {"steps": [["e", "f + 4", "f + 11"], ["f", "u + 1", "u + 12"], ["u", "d + 20", "d + 32"], ["d", "j + 15", "j + 47"], ["j", "l + 3", "l + 50"], ["l", 2, "52"]], "target_var_name": "n", "target_value": 52, "value_dict": {"l": 2}, "is_reverse": true}} | 22,065 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = l + 10; l = 2; e = f + 4; x = v + 19; p = b + 15; b = g + 17; g = x + 3; f = u + 1; d = j + 15; v = h + 11; u = d + 20; n = e + 7; j = l + 3. If l = 2, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = f + 4 to n, which gives n = f + 11.\n2. Substitute f = u + 1 to n, which gives n = u + 12.\n3. Substitute u = d + 20 to n, which gives n = d + 32.\n4. Substitute d = j + 15 to n, which gives n = j + 47.\n5. Substitute j = l + 3 to n, which gives n = l + 50.\n6. Substitute l = 2 to n, which gives n = 52.\n\nThus, the final answer is n = \\boxed{52}.",
"index": 22065,
"question": "Consider a system of variables where each variable is defined as follows: h = l + 10; l = 2; e = f + 4; x = v + 19; p = b + 15; b = g + 17; g = x + 3; f = u + 1; d = j + 15; v = h + 11; u = d + 20; n = e + 7; j = l + 3. If l = 2, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"f": "q + 7", "o": "f + 3", "v": "o + 19", "y": "v + 13", "d": "y + 13", "b": "d + 2", "e": "q + 7", "g": "e + 1", "s": "g + 18", "w": "s + 19", "z": "w + 2", "k": "z + 4", "q": 1}, "premises": {"q": 1}, "target": "b"}, "answer": {"steps": [["d", "y + 13", "y + 15"], ["y", "v + 13", "v + 28"], ["v", "o + 19", "o + 47"], ["o", "f + 3", "f + 50"], ["f", "q + 7", "q + 57"], ["q", 1, "58"]], "target_var_name": "b", "target_value": 58, "value_dict": {"q": 1}, "is_reverse": true}} | 22,066 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = w + 2; q = 1; f = q + 7; y = v + 13; d = y + 13; e = q + 7; b = d + 2; v = o + 19; w = s + 19; g = e + 1; s = g + 18; o = f + 3; k = z + 4. Given that q = 1, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = y + 13 to b, which gives b = y + 15.\n2. Substitute y = v + 13 to b, which gives b = v + 28.\n3. Substitute v = o + 19 to b, which gives b = o + 47.\n4. Substitute o = f + 3 to b, which gives b = f + 50.\n5. Substitute f = q + 7 to b, which gives b = q + 57.\n6. Substitute q = 1 to b, which gives b = 58.\n\nThus, the final answer is b = \\boxed{58}.",
"index": 22066,
"question": "Suppose a collection of variables is related by the following definitions: z = w + 2; q = 1; f = q + 7; y = v + 13; d = y + 13; e = q + 7; b = d + 2; v = o + 19; w = s + 19; g = e + 1; s = g + 18; o = f + 3; k = z + 4. Given that q = 1, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"y": "z + 6", "g": "y + 19", "k": "g + 20", "n": "k + 14", "q": "n + 6", "u": "q + 9", "i": "z + 12", "s": "i + 3", "m": "s + 13", "r": "m + 18", "t": "r + 5", "o": "t + 3", "z": 5}, "premises": {"z": 5}, "target": "u"}, "answer": {"steps": [["q", "n + 6", "n + 15"], ["n", "k + 14", "k + 29"], ["k", "g + 20", "g + 49"], ["g", "y + 19", "y + 68"], ["y", "z + 6", "z + 74"], ["z", 5, "79"]], "target_var_name": "u", "target_value": 79, "value_dict": {"z": 5}, "is_reverse": true}} | 22,067 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = t + 3; g = y + 19; r = m + 18; z = 5; m = s + 13; k = g + 20; u = q + 9; n = k + 14; y = z + 6; s = i + 3; i = z + 12; t = r + 5; q = n + 6. Given that z = 5, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = n + 6 to u, which gives u = n + 15.\n2. Substitute n = k + 14 to u, which gives u = k + 29.\n3. Substitute k = g + 20 to u, which gives u = g + 49.\n4. Substitute g = y + 19 to u, which gives u = y + 68.\n5. Substitute y = z + 6 to u, which gives u = z + 74.\n6. Substitute z = 5 to u, which gives u = 79.\n\nThus, the final answer is u = \\boxed{79}.",
"index": 22067,
"question": "Suppose a collection of variables is related by the following definitions: o = t + 3; g = y + 19; r = m + 18; z = 5; m = s + 13; k = g + 20; u = q + 9; n = k + 14; y = z + 6; s = i + 3; i = z + 12; t = r + 5; q = n + 6. Given that z = 5, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"j": "n + 14", "w": "j + 2", "k": "w + 3", "s": "k + 11", "a": "s + 15", "h": "a + 15", "m": "n + 18", "b": "m + 8", "e": "b + 1", "o": "e + 4", "f": "o + 18", "x": "f + 9", "n": 20}, "premises": {"n": 20}, "target": "h"}, "answer": {"steps": [["a", "s + 15", "s + 30"], ["s", "k + 11", "k + 41"], ["k", "w + 3", "w + 44"], ["w", "j + 2", "j + 46"], ["j", "n + 14", "n + 60"], ["n", 20, "80"]], "target_var_name": "h", "target_value": 80, "value_dict": {"n": 20}, "is_reverse": true}} | 22,068 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = n + 14; s = k + 11; h = a + 15; e = b + 1; f = o + 18; m = n + 18; n = 20; o = e + 4; x = f + 9; w = j + 2; b = m + 8; k = w + 3; a = s + 15. If n = 20, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = s + 15 to h, which gives h = s + 30.\n2. Substitute s = k + 11 to h, which gives h = k + 41.\n3. Substitute k = w + 3 to h, which gives h = w + 44.\n4. Substitute w = j + 2 to h, which gives h = j + 46.\n5. Substitute j = n + 14 to h, which gives h = n + 60.\n6. Substitute n = 20 to h, which gives h = 80.\n\nThus, the final answer is h = \\boxed{80}.",
"index": 22068,
"question": "Consider a system of variables where each variable is defined as follows: j = n + 14; s = k + 11; h = a + 15; e = b + 1; f = o + 18; m = n + 18; n = 20; o = e + 4; x = f + 9; w = j + 2; b = m + 8; k = w + 3; a = s + 15. If n = 20, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"e": "d + 8", "c": "e + 10", "i": "c + 15", "l": "i + 3", "h": "l + 10", "o": "h + 2", "t": "d + 3", "z": "t + 4", "r": "z + 4", "u": "r + 7", "s": "u + 8", "k": "s + 19", "d": 18}, "premises": {"d": 18}, "target": "o"}, "answer": {"steps": [["h", "l + 10", "l + 12"], ["l", "i + 3", "i + 15"], ["i", "c + 15", "c + 30"], ["c", "e + 10", "e + 40"], ["e", "d + 8", "d + 48"], ["d", 18, "66"]], "target_var_name": "o", "target_value": 66, "value_dict": {"d": 18}, "is_reverse": true}} | 22,069 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = h + 2; d = 18; e = d + 8; h = l + 10; r = z + 4; s = u + 8; i = c + 15; u = r + 7; c = e + 10; l = i + 3; k = s + 19; z = t + 4; t = d + 3. Given that d = 18, 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 h = l + 10 to o, which gives o = l + 12.\n2. Substitute l = i + 3 to o, which gives o = i + 15.\n3. Substitute i = c + 15 to o, which gives o = c + 30.\n4. Substitute c = e + 10 to o, which gives o = e + 40.\n5. Substitute e = d + 8 to o, which gives o = d + 48.\n6. Substitute d = 18 to o, which gives o = 66.\n\nThus, the final answer is o = \\boxed{66}.",
"index": 22069,
"question": "Suppose a collection of variables is related by the following definitions: o = h + 2; d = 18; e = d + 8; h = l + 10; r = z + 4; s = u + 8; i = c + 15; u = r + 7; c = e + 10; l = i + 3; k = s + 19; z = t + 4; t = d + 3. Given that d = 18, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"r": "s + 16", "g": "r + 7", "q": "g + 18", "y": "q + 10", "t": "y + 16", "a": "t + 9", "w": "s + 8", "x": "w + 17", "u": "x + 6", "f": "u + 5", "z": "f + 7", "p": "z + 17", "s": 9}, "premises": {"s": 9}, "target": "a"}, "answer": {"steps": [["t", "y + 16", "y + 25"], ["y", "q + 10", "q + 35"], ["q", "g + 18", "g + 53"], ["g", "r + 7", "r + 60"], ["r", "s + 16", "s + 76"], ["s", 9, "85"]], "target_var_name": "a", "target_value": 85, "value_dict": {"s": 9}, "is_reverse": true}} | 22,070 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = s + 16; a = t + 9; f = u + 5; s = 9; x = w + 17; t = y + 16; y = q + 10; q = g + 18; w = s + 8; p = z + 17; g = r + 7; u = x + 6; z = f + 7. If s = 9, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = y + 16 to a, which gives a = y + 25.\n2. Substitute y = q + 10 to a, which gives a = q + 35.\n3. Substitute q = g + 18 to a, which gives a = g + 53.\n4. Substitute g = r + 7 to a, which gives a = r + 60.\n5. Substitute r = s + 16 to a, which gives a = s + 76.\n6. Substitute s = 9 to a, which gives a = 85.\n\nThus, the final answer is a = \\boxed{85}.",
"index": 22070,
"question": "Consider a system of variables where each variable is defined as follows: r = s + 16; a = t + 9; f = u + 5; s = 9; x = w + 17; t = y + 16; y = q + 10; q = g + 18; w = s + 8; p = z + 17; g = r + 7; u = x + 6; z = f + 7. If s = 9, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"l": "f + 9", "p": "l + 6", "i": "p + 9", "c": "i + 11", "x": "c + 9", "d": "x + 17", "z": "f + 20", "k": "z + 9", "t": "k + 12", "j": "t + 13", "r": "j + 13", "w": "r + 12", "f": 5}, "premises": {"f": 5}, "target": "d"}, "answer": {"steps": [["x", "c + 9", "c + 26"], ["c", "i + 11", "i + 37"], ["i", "p + 9", "p + 46"], ["p", "l + 6", "l + 52"], ["l", "f + 9", "f + 61"], ["f", 5, "66"]], "target_var_name": "d", "target_value": 66, "value_dict": {"f": 5}, "is_reverse": true}} | 22,071 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = i + 11; x = c + 9; z = f + 20; k = z + 9; f = 5; p = l + 6; j = t + 13; r = j + 13; i = p + 9; d = x + 17; t = k + 12; l = f + 9; w = r + 12. Given that f = 5, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = c + 9 to d, which gives d = c + 26.\n2. Substitute c = i + 11 to d, which gives d = i + 37.\n3. Substitute i = p + 9 to d, which gives d = p + 46.\n4. Substitute p = l + 6 to d, which gives d = l + 52.\n5. Substitute l = f + 9 to d, which gives d = f + 61.\n6. Substitute f = 5 to d, which gives d = 66.\n\nThus, the final answer is d = \\boxed{66}.",
"index": 22071,
"question": "Suppose a collection of variables is related by the following definitions: c = i + 11; x = c + 9; z = f + 20; k = z + 9; f = 5; p = l + 6; j = t + 13; r = j + 13; i = p + 9; d = x + 17; t = k + 12; l = f + 9; w = r + 12. Given that f = 5, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"h": "q + 8", "f": "h + 16", "c": "f + 3", "d": "c + 8", "r": "d + 19", "a": "r + 3", "j": "q + 6", "y": "j + 20", "w": "y + 2", "v": "w + 1", "z": "v + 5", "i": "z + 9", "q": 1}, "premises": {"q": 1}, "target": "a"}, "answer": {"steps": [["r", "d + 19", "d + 22"], ["d", "c + 8", "c + 30"], ["c", "f + 3", "f + 33"], ["f", "h + 16", "h + 49"], ["h", "q + 8", "q + 57"], ["q", 1, "58"]], "target_var_name": "a", "target_value": 58, "value_dict": {"q": 1}, "is_reverse": true}} | 22,072 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = 1; d = c + 8; a = r + 3; h = q + 8; j = q + 6; y = j + 20; w = y + 2; c = f + 3; v = w + 1; i = z + 9; r = d + 19; f = h + 16; z = v + 5. Given that q = 1, find 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 r = d + 19 to a, which gives a = d + 22.\n2. Substitute d = c + 8 to a, which gives a = c + 30.\n3. Substitute c = f + 3 to a, which gives a = f + 33.\n4. Substitute f = h + 16 to a, which gives a = h + 49.\n5. Substitute h = q + 8 to a, which gives a = q + 57.\n6. Substitute q = 1 to a, which gives a = 58.\n\nThus, the final answer is a = \\boxed{58}.",
"index": 22072,
"question": "Suppose a collection of variables is related by the following definitions: q = 1; d = c + 8; a = r + 3; h = q + 8; j = q + 6; y = j + 20; w = y + 2; c = f + 3; v = w + 1; i = z + 9; r = d + 19; f = h + 16; z = v + 5. Given that q = 1, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"l": "p + 7", "g": "l + 14", "b": "g + 4", "c": "b + 8", "y": "c + 13", "i": "y + 5", "z": "p + 5", "q": "z + 18", "e": "q + 19", "k": "e + 16", "t": "k + 15", "o": "t + 12", "p": 19}, "premises": {"p": 19}, "target": "i"}, "answer": {"steps": [["y", "c + 13", "c + 18"], ["c", "b + 8", "b + 26"], ["b", "g + 4", "g + 30"], ["g", "l + 14", "l + 44"], ["l", "p + 7", "p + 51"], ["p", 19, "70"]], "target_var_name": "i", "target_value": 70, "value_dict": {"p": 19}, "is_reverse": true}} | 22,073 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = z + 18; e = q + 19; t = k + 15; i = y + 5; o = t + 12; k = e + 16; c = b + 8; b = g + 4; z = p + 5; g = l + 14; l = p + 7; p = 19; y = c + 13. If p = 19, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = c + 13 to i, which gives i = c + 18.\n2. Substitute c = b + 8 to i, which gives i = b + 26.\n3. Substitute b = g + 4 to i, which gives i = g + 30.\n4. Substitute g = l + 14 to i, which gives i = l + 44.\n5. Substitute l = p + 7 to i, which gives i = p + 51.\n6. Substitute p = 19 to i, which gives i = 70.\n\nThus, the final answer is i = \\boxed{70}.",
"index": 22073,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = z + 18; e = q + 19; t = k + 15; i = y + 5; o = t + 12; k = e + 16; c = b + 8; b = g + 4; z = p + 5; g = l + 14; l = p + 7; p = 19; y = c + 13. If p = 19, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"l": "f + 5", "u": "l + 13", "t": "u + 11", "c": "t + 12", "v": "c + 15", "b": "v + 3", "a": "f + 13", "s": "a + 8", "j": "s + 3", "r": "j + 3", "e": "r + 8", "h": "e + 2", "f": 13}, "premises": {"f": 13}, "target": "b"}, "answer": {"steps": [["v", "c + 15", "c + 18"], ["c", "t + 12", "t + 30"], ["t", "u + 11", "u + 41"], ["u", "l + 13", "l + 54"], ["l", "f + 5", "f + 59"], ["f", 13, "72"]], "target_var_name": "b", "target_value": 72, "value_dict": {"f": 13}, "is_reverse": true}} | 22,074 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = r + 8; u = l + 13; c = t + 12; s = a + 8; j = s + 3; v = c + 15; f = 13; l = f + 5; r = j + 3; b = v + 3; h = e + 2; t = u + 11; a = f + 13. Given that f = 13, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = c + 15 to b, which gives b = c + 18.\n2. Substitute c = t + 12 to b, which gives b = t + 30.\n3. Substitute t = u + 11 to b, which gives b = u + 41.\n4. Substitute u = l + 13 to b, which gives b = l + 54.\n5. Substitute l = f + 5 to b, which gives b = f + 59.\n6. Substitute f = 13 to b, which gives b = 72.\n\nThus, the final answer is b = \\boxed{72}.",
"index": 22074,
"question": "Suppose a collection of variables is related by the following definitions: e = r + 8; u = l + 13; c = t + 12; s = a + 8; j = s + 3; v = c + 15; f = 13; l = f + 5; r = j + 3; b = v + 3; h = e + 2; t = u + 11; a = f + 13. Given that f = 13, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"f": "t + 6", "j": "f + 14", "v": "j + 16", "k": "v + 15", "w": "k + 12", "c": "w + 15", "b": "t + 20", "z": "b + 10", "n": "z + 10", "y": "n + 2", "i": "y + 6", "o": "i + 6", "t": 13}, "premises": {"t": 13}, "target": "c"}, "answer": {"steps": [["w", "k + 12", "k + 27"], ["k", "v + 15", "v + 42"], ["v", "j + 16", "j + 58"], ["j", "f + 14", "f + 72"], ["f", "t + 6", "t + 78"], ["t", 13, "91"]], "target_var_name": "c", "target_value": 91, "value_dict": {"t": 13}, "is_reverse": true}} | 22,075 | 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; i = y + 6; j = f + 14; z = b + 10; y = n + 2; w = k + 12; t = 13; n = z + 10; f = t + 6; b = t + 20; c = w + 15; o = i + 6; k = v + 15. If t = 13, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = k + 12 to c, which gives c = k + 27.\n2. Substitute k = v + 15 to c, which gives c = v + 42.\n3. Substitute v = j + 16 to c, which gives c = j + 58.\n4. Substitute j = f + 14 to c, which gives c = f + 72.\n5. Substitute f = t + 6 to c, which gives c = t + 78.\n6. Substitute t = 13 to c, which gives c = 91.\n\nThus, the final answer is c = \\boxed{91}.",
"index": 22075,
"question": "Consider a system of variables where each variable is defined as follows: v = j + 16; i = y + 6; j = f + 14; z = b + 10; y = n + 2; w = k + 12; t = 13; n = z + 10; f = t + 6; b = t + 20; c = w + 15; o = i + 6; k = v + 15. If t = 13, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"s": "h + 16", "w": "s + 16", "g": "w + 1", "o": "g + 20", "b": "o + 5", "y": "b + 18", "i": "h + 11", "x": "i + 13", "v": "x + 17", "n": "v + 4", "j": "n + 2", "d": "j + 9", "h": 19}, "premises": {"h": 19}, "target": "y"}, "answer": {"steps": [["b", "o + 5", "o + 23"], ["o", "g + 20", "g + 43"], ["g", "w + 1", "w + 44"], ["w", "s + 16", "s + 60"], ["s", "h + 16", "h + 76"], ["h", 19, "95"]], "target_var_name": "y", "target_value": 95, "value_dict": {"h": 19}, "is_reverse": true}} | 22,076 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = w + 1; y = b + 18; n = v + 4; h = 19; s = h + 16; i = h + 11; x = i + 13; b = o + 5; v = x + 17; w = s + 16; o = g + 20; j = n + 2; d = j + 9. If h = 19, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = o + 5 to y, which gives y = o + 23.\n2. Substitute o = g + 20 to y, which gives y = g + 43.\n3. Substitute g = w + 1 to y, which gives y = w + 44.\n4. Substitute w = s + 16 to y, which gives y = s + 60.\n5. Substitute s = h + 16 to y, which gives y = h + 76.\n6. Substitute h = 19 to y, which gives y = 95.\n\nThus, the final answer is y = \\boxed{95}.",
"index": 22076,
"question": "Consider a system of variables where each variable is defined as follows: g = w + 1; y = b + 18; n = v + 4; h = 19; s = h + 16; i = h + 11; x = i + 13; b = o + 5; v = x + 17; w = s + 16; o = g + 20; j = n + 2; d = j + 9. If h = 19, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"e": "o + 8", "h": "e + 5", "s": "h + 8", "f": "s + 14", "n": "f + 19", "k": "n + 20", "p": "o + 12", "x": "p + 16", "r": "x + 16", "j": "r + 16", "q": "j + 7", "b": "q + 16", "o": 1}, "premises": {"o": 1}, "target": "k"}, "answer": {"steps": [["n", "f + 19", "f + 39"], ["f", "s + 14", "s + 53"], ["s", "h + 8", "h + 61"], ["h", "e + 5", "e + 66"], ["e", "o + 8", "o + 74"], ["o", 1, "75"]], "target_var_name": "k", "target_value": 75, "value_dict": {"o": 1}, "is_reverse": true}} | 22,077 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = n + 20; h = e + 5; n = f + 19; q = j + 7; p = o + 12; f = s + 14; e = o + 8; b = q + 16; s = h + 8; j = r + 16; o = 1; x = p + 16; r = x + 16. If o = 1, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = f + 19 to k, which gives k = f + 39.\n2. Substitute f = s + 14 to k, which gives k = s + 53.\n3. Substitute s = h + 8 to k, which gives k = h + 61.\n4. Substitute h = e + 5 to k, which gives k = e + 66.\n5. Substitute e = o + 8 to k, which gives k = o + 74.\n6. Substitute o = 1 to k, which gives k = 75.\n\nThus, the final answer is k = \\boxed{75}.",
"index": 22077,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = n + 20; h = e + 5; n = f + 19; q = j + 7; p = o + 12; f = s + 14; e = o + 8; b = q + 16; s = h + 8; j = r + 16; o = 1; x = p + 16; r = x + 16. If o = 1, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"a": "e + 1", "s": "a + 15", "q": "s + 6", "p": "q + 8", "z": "p + 20", "n": "z + 20", "d": "e + 6", "v": "d + 5", "y": "v + 7", "c": "y + 7", "m": "c + 19", "u": "m + 3", "e": 7}, "premises": {"e": 7}, "target": "n"}, "answer": {"steps": [["z", "p + 20", "p + 40"], ["p", "q + 8", "q + 48"], ["q", "s + 6", "s + 54"], ["s", "a + 15", "a + 69"], ["a", "e + 1", "e + 70"], ["e", 7, "77"]], "target_var_name": "n", "target_value": 77, "value_dict": {"e": 7}, "is_reverse": true}} | 22,078 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = a + 15; u = m + 3; a = e + 1; m = c + 19; e = 7; v = d + 5; c = y + 7; y = v + 7; d = e + 6; z = p + 20; q = s + 6; p = q + 8; n = z + 20. If e = 7, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = p + 20 to n, which gives n = p + 40.\n2. Substitute p = q + 8 to n, which gives n = q + 48.\n3. Substitute q = s + 6 to n, which gives n = s + 54.\n4. Substitute s = a + 15 to n, which gives n = a + 69.\n5. Substitute a = e + 1 to n, which gives n = e + 70.\n6. Substitute e = 7 to n, which gives n = 77.\n\nThus, the final answer is n = \\boxed{77}.",
"index": 22078,
"question": "Consider a system of variables where each variable is defined as follows: s = a + 15; u = m + 3; a = e + 1; m = c + 19; e = 7; v = d + 5; c = y + 7; y = v + 7; d = e + 6; z = p + 20; q = s + 6; p = q + 8; n = z + 20. If e = 7, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"m": "k + 9", "r": "m + 19", "j": "r + 16", "q": "j + 8", "y": "q + 6", "z": "y + 12", "p": "k + 1", "n": "p + 5", "c": "n + 7", "w": "c + 20", "l": "w + 12", "o": "l + 19", "k": 7}, "premises": {"k": 7}, "target": "z"}, "answer": {"steps": [["y", "q + 6", "q + 18"], ["q", "j + 8", "j + 26"], ["j", "r + 16", "r + 42"], ["r", "m + 19", "m + 61"], ["m", "k + 9", "k + 70"], ["k", 7, "77"]], "target_var_name": "z", "target_value": 77, "value_dict": {"k": 7}, "is_reverse": true}} | 22,079 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = k + 1; m = k + 9; j = r + 16; k = 7; z = y + 12; r = m + 19; l = w + 12; c = n + 7; o = l + 19; n = p + 5; w = c + 20; y = q + 6; q = j + 8. If k = 7, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = q + 6 to z, which gives z = q + 18.\n2. Substitute q = j + 8 to z, which gives z = j + 26.\n3. Substitute j = r + 16 to z, which gives z = r + 42.\n4. Substitute r = m + 19 to z, which gives z = m + 61.\n5. Substitute m = k + 9 to z, which gives z = k + 70.\n6. Substitute k = 7 to z, which gives z = 77.\n\nThus, the final answer is z = \\boxed{77}.",
"index": 22079,
"question": "Consider a system of variables where each variable is defined as follows: p = k + 1; m = k + 9; j = r + 16; k = 7; z = y + 12; r = m + 19; l = w + 12; c = n + 7; o = l + 19; n = p + 5; w = c + 20; y = q + 6; q = j + 8. If k = 7, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"u": "s + 14", "l": "u + 4", "z": "l + 1", "q": "z + 19", "b": "q + 2", "f": "b + 13", "e": "s + 5", "j": "e + 8", "p": "j + 1", "y": "p + 3", "h": "y + 17", "c": "h + 1", "s": 5}, "premises": {"s": 5}, "target": "f"}, "answer": {"steps": [["b", "q + 2", "q + 15"], ["q", "z + 19", "z + 34"], ["z", "l + 1", "l + 35"], ["l", "u + 4", "u + 39"], ["u", "s + 14", "s + 53"], ["s", 5, "58"]], "target_var_name": "f", "target_value": 58, "value_dict": {"s": 5}, "is_reverse": true}} | 22,080 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = p + 3; f = b + 13; j = e + 8; z = l + 1; u = s + 14; e = s + 5; q = z + 19; s = 5; p = j + 1; h = y + 17; b = q + 2; l = u + 4; c = h + 1. If s = 5, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = q + 2 to f, which gives f = q + 15.\n2. Substitute q = z + 19 to f, which gives f = z + 34.\n3. Substitute z = l + 1 to f, which gives f = l + 35.\n4. Substitute l = u + 4 to f, which gives f = u + 39.\n5. Substitute u = s + 14 to f, which gives f = s + 53.\n6. Substitute s = 5 to f, which gives f = 58.\n\nThus, the final answer is f = \\boxed{58}.",
"index": 22080,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = p + 3; f = b + 13; j = e + 8; z = l + 1; u = s + 14; e = s + 5; q = z + 19; s = 5; p = j + 1; h = y + 17; b = q + 2; l = u + 4; c = h + 1. If s = 5, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"x": "y + 5", "n": "x + 2", "a": "n + 19", "p": "a + 13", "k": "p + 20", "h": "k + 11", "f": "y + 2", "o": "f + 12", "r": "o + 6", "w": "r + 14", "d": "w + 14", "g": "d + 8", "y": 3}, "premises": {"y": 3}, "target": "h"}, "answer": {"steps": [["k", "p + 20", "p + 31"], ["p", "a + 13", "a + 44"], ["a", "n + 19", "n + 63"], ["n", "x + 2", "x + 65"], ["x", "y + 5", "y + 70"], ["y", 3, "73"]], "target_var_name": "h", "target_value": 73, "value_dict": {"y": 3}, "is_reverse": true}} | 22,081 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = p + 20; r = o + 6; f = y + 2; h = k + 11; n = x + 2; a = n + 19; w = r + 14; o = f + 12; x = y + 5; p = a + 13; g = d + 8; y = 3; d = w + 14. Given that y = 3, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = p + 20 to h, which gives h = p + 31.\n2. Substitute p = a + 13 to h, which gives h = a + 44.\n3. Substitute a = n + 19 to h, which gives h = n + 63.\n4. Substitute n = x + 2 to h, which gives h = x + 65.\n5. Substitute x = y + 5 to h, which gives h = y + 70.\n6. Substitute y = 3 to h, which gives h = 73.\n\nThus, the final answer is h = \\boxed{73}.",
"index": 22081,
"question": "Suppose a collection of variables is related by the following definitions: k = p + 20; r = o + 6; f = y + 2; h = k + 11; n = x + 2; a = n + 19; w = r + 14; o = f + 12; x = y + 5; p = a + 13; g = d + 8; y = 3; d = w + 14. Given that y = 3, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"s": "a + 16", "h": "s + 9", "c": "h + 17", "w": "c + 14", "z": "w + 3", "n": "z + 5", "q": "a + 16", "i": "q + 11", "y": "i + 19", "b": "y + 6", "k": "b + 6", "j": "k + 20", "a": 7}, "premises": {"a": 7}, "target": "n"}, "answer": {"steps": [["z", "w + 3", "w + 8"], ["w", "c + 14", "c + 22"], ["c", "h + 17", "h + 39"], ["h", "s + 9", "s + 48"], ["s", "a + 16", "a + 64"], ["a", 7, "71"]], "target_var_name": "n", "target_value": 71, "value_dict": {"a": 7}, "is_reverse": true}} | 22,082 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = q + 11; c = h + 17; s = a + 16; j = k + 20; b = y + 6; w = c + 14; n = z + 5; h = s + 9; a = 7; y = i + 19; q = a + 16; k = b + 6; z = w + 3. If a = 7, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = w + 3 to n, which gives n = w + 8.\n2. Substitute w = c + 14 to n, which gives n = c + 22.\n3. Substitute c = h + 17 to n, which gives n = h + 39.\n4. Substitute h = s + 9 to n, which gives n = s + 48.\n5. Substitute s = a + 16 to n, which gives n = a + 64.\n6. Substitute a = 7 to n, which gives n = 71.\n\nThus, the final answer is n = \\boxed{71}.",
"index": 22082,
"question": "Consider a system of variables where each variable is defined as follows: i = q + 11; c = h + 17; s = a + 16; j = k + 20; b = y + 6; w = c + 14; n = z + 5; h = s + 9; a = 7; y = i + 19; q = a + 16; k = b + 6; z = w + 3. If a = 7, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"b": "f + 9", "w": "b + 16", "q": "w + 3", "r": "q + 10", "l": "r + 1", "p": "l + 19", "u": "f + 12", "a": "u + 2", "e": "a + 18", "d": "e + 4", "y": "d + 6", "m": "y + 12", "f": 17}, "premises": {"f": 17}, "target": "p"}, "answer": {"steps": [["l", "r + 1", "r + 20"], ["r", "q + 10", "q + 30"], ["q", "w + 3", "w + 33"], ["w", "b + 16", "b + 49"], ["b", "f + 9", "f + 58"], ["f", 17, "75"]], "target_var_name": "p", "target_value": 75, "value_dict": {"f": 17}, "is_reverse": true}} | 22,083 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = a + 18; b = f + 9; y = d + 6; p = l + 19; u = f + 12; r = q + 10; l = r + 1; a = u + 2; d = e + 4; m = y + 12; f = 17; q = w + 3; w = b + 16. If f = 17, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = r + 1 to p, which gives p = r + 20.\n2. Substitute r = q + 10 to p, which gives p = q + 30.\n3. Substitute q = w + 3 to p, which gives p = w + 33.\n4. Substitute w = b + 16 to p, which gives p = b + 49.\n5. Substitute b = f + 9 to p, which gives p = f + 58.\n6. Substitute f = 17 to p, which gives p = 75.\n\nThus, the final answer is p = \\boxed{75}.",
"index": 22083,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = a + 18; b = f + 9; y = d + 6; p = l + 19; u = f + 12; r = q + 10; l = r + 1; a = u + 2; d = e + 4; m = y + 12; f = 17; q = w + 3; w = b + 16. If f = 17, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"h": "u + 8", "r": "h + 2", "t": "r + 15", "k": "t + 3", "x": "k + 10", "c": "x + 15", "e": "u + 5", "l": "e + 7", "y": "l + 1", "n": "y + 15", "a": "n + 13", "w": "a + 1", "u": 13}, "premises": {"u": 13}, "target": "c"}, "answer": {"steps": [["x", "k + 10", "k + 25"], ["k", "t + 3", "t + 28"], ["t", "r + 15", "r + 43"], ["r", "h + 2", "h + 45"], ["h", "u + 8", "u + 53"], ["u", 13, "66"]], "target_var_name": "c", "target_value": 66, "value_dict": {"u": 13}, "is_reverse": true}} | 22,084 | 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 = a + 1; k = t + 3; h = u + 8; r = h + 2; u = 13; t = r + 15; e = u + 5; n = y + 15; l = e + 7; x = k + 10; y = l + 1; c = x + 15; a = n + 13. If u = 13, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = k + 10 to c, which gives c = k + 25.\n2. Substitute k = t + 3 to c, which gives c = t + 28.\n3. Substitute t = r + 15 to c, which gives c = r + 43.\n4. Substitute r = h + 2 to c, which gives c = h + 45.\n5. Substitute h = u + 8 to c, which gives c = u + 53.\n6. Substitute u = 13 to c, which gives c = 66.\n\nThus, the final answer is c = \\boxed{66}.",
"index": 22084,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = a + 1; k = t + 3; h = u + 8; r = h + 2; u = 13; t = r + 15; e = u + 5; n = y + 15; l = e + 7; x = k + 10; y = l + 1; c = x + 15; a = n + 13. If u = 13, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"s": "c + 9", "w": "s + 18", "t": "w + 9", "y": "t + 7", "a": "y + 5", "m": "a + 16", "n": "c + 8", "r": "n + 10", "o": "r + 20", "b": "o + 2", "f": "b + 10", "i": "f + 13", "c": 13}, "premises": {"c": 13}, "target": "m"}, "answer": {"steps": [["a", "y + 5", "y + 21"], ["y", "t + 7", "t + 28"], ["t", "w + 9", "w + 37"], ["w", "s + 18", "s + 55"], ["s", "c + 9", "c + 64"], ["c", 13, "77"]], "target_var_name": "m", "target_value": 77, "value_dict": {"c": 13}, "is_reverse": true}} | 22,085 | 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 = 13; s = c + 9; n = c + 8; a = y + 5; b = o + 2; m = a + 16; w = s + 18; i = f + 13; o = r + 20; y = t + 7; r = n + 10; t = w + 9; f = b + 10. If c = 13, 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 = y + 5 to m, which gives m = y + 21.\n2. Substitute y = t + 7 to m, which gives m = t + 28.\n3. Substitute t = w + 9 to m, which gives m = w + 37.\n4. Substitute w = s + 18 to m, which gives m = s + 55.\n5. Substitute s = c + 9 to m, which gives m = c + 64.\n6. Substitute c = 13 to m, which gives m = 77.\n\nThus, the final answer is m = \\boxed{77}.",
"index": 22085,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = 13; s = c + 9; n = c + 8; a = y + 5; b = o + 2; m = a + 16; w = s + 18; i = f + 13; o = r + 20; y = t + 7; r = n + 10; t = w + 9; f = b + 10. If c = 13, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"k": "t + 3", "b": "k + 15", "n": "b + 5", "f": "n + 13", "p": "f + 19", "l": "p + 10", "m": "t + 10", "w": "m + 17", "j": "w + 14", "s": "j + 4", "c": "s + 9", "e": "c + 12", "t": 20}, "premises": {"t": 20}, "target": "l"}, "answer": {"steps": [["p", "f + 19", "f + 29"], ["f", "n + 13", "n + 42"], ["n", "b + 5", "b + 47"], ["b", "k + 15", "k + 62"], ["k", "t + 3", "t + 65"], ["t", 20, "85"]], "target_var_name": "l", "target_value": 85, "value_dict": {"t": 20}, "is_reverse": true}} | 22,086 | 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 = 20; c = s + 9; p = f + 19; k = t + 3; m = t + 10; n = b + 5; s = j + 4; j = w + 14; f = n + 13; w = m + 17; b = k + 15; e = c + 12; l = p + 10. If t = 20, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = f + 19 to l, which gives l = f + 29.\n2. Substitute f = n + 13 to l, which gives l = n + 42.\n3. Substitute n = b + 5 to l, which gives l = b + 47.\n4. Substitute b = k + 15 to l, which gives l = k + 62.\n5. Substitute k = t + 3 to l, which gives l = t + 65.\n6. Substitute t = 20 to l, which gives l = 85.\n\nThus, the final answer is l = \\boxed{85}.",
"index": 22086,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = 20; c = s + 9; p = f + 19; k = t + 3; m = t + 10; n = b + 5; s = j + 4; j = w + 14; f = n + 13; w = m + 17; b = k + 15; e = c + 12; l = p + 10. If t = 20, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"p": "g + 12", "e": "p + 17", "b": "e + 14", "u": "b + 18", "y": "u + 5", "f": "y + 12", "v": "g + 20", "n": "v + 2", "h": "n + 19", "w": "h + 15", "s": "w + 14", "a": "s + 16", "g": 8}, "premises": {"g": 8}, "target": "f"}, "answer": {"steps": [["y", "u + 5", "u + 17"], ["u", "b + 18", "b + 35"], ["b", "e + 14", "e + 49"], ["e", "p + 17", "p + 66"], ["p", "g + 12", "g + 78"], ["g", 8, "86"]], "target_var_name": "f", "target_value": 86, "value_dict": {"g": 8}, "is_reverse": true}} | 22,087 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = w + 14; g = 8; f = y + 12; y = u + 5; n = v + 2; a = s + 16; v = g + 20; p = g + 12; w = h + 15; h = n + 19; b = e + 14; u = b + 18; e = p + 17. If g = 8, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = u + 5 to f, which gives f = u + 17.\n2. Substitute u = b + 18 to f, which gives f = b + 35.\n3. Substitute b = e + 14 to f, which gives f = e + 49.\n4. Substitute e = p + 17 to f, which gives f = p + 66.\n5. Substitute p = g + 12 to f, which gives f = g + 78.\n6. Substitute g = 8 to f, which gives f = 86.\n\nThus, the final answer is f = \\boxed{86}.",
"index": 22087,
"question": "Consider a system of variables where each variable is defined as follows: s = w + 14; g = 8; f = y + 12; y = u + 5; n = v + 2; a = s + 16; v = g + 20; p = g + 12; w = h + 15; h = n + 19; b = e + 14; u = b + 18; e = p + 17. If g = 8, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"t": "d + 5", "m": "t + 15", "c": "m + 6", "i": "c + 10", "l": "i + 16", "x": "l + 20", "z": "d + 8", "h": "z + 3", "f": "h + 8", "s": "f + 3", "k": "s + 13", "w": "k + 18", "d": 6}, "premises": {"d": 6}, "target": "x"}, "answer": {"steps": [["l", "i + 16", "i + 36"], ["i", "c + 10", "c + 46"], ["c", "m + 6", "m + 52"], ["m", "t + 15", "t + 67"], ["t", "d + 5", "d + 72"], ["d", 6, "78"]], "target_var_name": "x", "target_value": 78, "value_dict": {"d": 6}, "is_reverse": true}} | 22,088 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = k + 18; t = d + 5; f = h + 8; i = c + 10; c = m + 6; d = 6; h = z + 3; k = s + 13; z = d + 8; m = t + 15; x = l + 20; s = f + 3; l = i + 16. Given that d = 6, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = i + 16 to x, which gives x = i + 36.\n2. Substitute i = c + 10 to x, which gives x = c + 46.\n3. Substitute c = m + 6 to x, which gives x = m + 52.\n4. Substitute m = t + 15 to x, which gives x = t + 67.\n5. Substitute t = d + 5 to x, which gives x = d + 72.\n6. Substitute d = 6 to x, which gives x = 78.\n\nThus, the final answer is x = \\boxed{78}.",
"index": 22088,
"question": "Suppose a collection of variables is related by the following definitions: w = k + 18; t = d + 5; f = h + 8; i = c + 10; c = m + 6; d = 6; h = z + 3; k = s + 13; z = d + 8; m = t + 15; x = l + 20; s = f + 3; l = i + 16. Given that d = 6, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"z": "a + 18", "b": "z + 5", "n": "b + 6", "k": "n + 10", "j": "k + 14", "f": "j + 1", "w": "a + 16", "r": "w + 12", "y": "r + 11", "c": "y + 1", "q": "c + 7", "h": "q + 4", "a": 16}, "premises": {"a": 16}, "target": "f"}, "answer": {"steps": [["j", "k + 14", "k + 15"], ["k", "n + 10", "n + 25"], ["n", "b + 6", "b + 31"], ["b", "z + 5", "z + 36"], ["z", "a + 18", "a + 54"], ["a", 16, "70"]], "target_var_name": "f", "target_value": 70, "value_dict": {"a": 16}, "is_reverse": true}} | 22,089 | 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 = w + 12; w = a + 16; k = n + 10; h = q + 4; q = c + 7; c = y + 1; z = a + 18; n = b + 6; y = r + 11; j = k + 14; a = 16; f = j + 1; b = z + 5. If a = 16, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = k + 14 to f, which gives f = k + 15.\n2. Substitute k = n + 10 to f, which gives f = n + 25.\n3. Substitute n = b + 6 to f, which gives f = b + 31.\n4. Substitute b = z + 5 to f, which gives f = z + 36.\n5. Substitute z = a + 18 to f, which gives f = a + 54.\n6. Substitute a = 16 to f, which gives f = 70.\n\nThus, the final answer is f = \\boxed{70}.",
"index": 22089,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = w + 12; w = a + 16; k = n + 10; h = q + 4; q = c + 7; c = y + 1; z = a + 18; n = b + 6; y = r + 11; j = k + 14; a = 16; f = j + 1; b = z + 5. If a = 16, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"m": "p + 16", "t": "m + 5", "b": "t + 1", "w": "b + 1", "i": "w + 4", "g": "i + 12", "r": "p + 1", "n": "r + 12", "c": "n + 2", "x": "c + 18", "u": "x + 6", "o": "u + 18", "p": 11}, "premises": {"p": 11}, "target": "g"}, "answer": {"steps": [["i", "w + 4", "w + 16"], ["w", "b + 1", "b + 17"], ["b", "t + 1", "t + 18"], ["t", "m + 5", "m + 23"], ["m", "p + 16", "p + 39"], ["p", 11, "50"]], "target_var_name": "g", "target_value": 50, "value_dict": {"p": 11}, "is_reverse": true}} | 22,090 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = 11; t = m + 5; c = n + 2; i = w + 4; r = p + 1; b = t + 1; o = u + 18; n = r + 12; x = c + 18; w = b + 1; g = i + 12; u = x + 6; m = p + 16. Given that p = 11, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = w + 4 to g, which gives g = w + 16.\n2. Substitute w = b + 1 to g, which gives g = b + 17.\n3. Substitute b = t + 1 to g, which gives g = t + 18.\n4. Substitute t = m + 5 to g, which gives g = m + 23.\n5. Substitute m = p + 16 to g, which gives g = p + 39.\n6. Substitute p = 11 to g, which gives g = 50.\n\nThus, the final answer is g = \\boxed{50}.",
"index": 22090,
"question": "Suppose a collection of variables is related by the following definitions: p = 11; t = m + 5; c = n + 2; i = w + 4; r = p + 1; b = t + 1; o = u + 18; n = r + 12; x = c + 18; w = b + 1; g = i + 12; u = x + 6; m = p + 16. Given that p = 11, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"y": "a + 12", "x": "y + 4", "h": "x + 15", "e": "h + 20", "l": "e + 1", "t": "l + 17", "r": "a + 4", "d": "r + 8", "o": "d + 18", "q": "o + 20", "u": "q + 11", "b": "u + 6", "a": 2}, "premises": {"a": 2}, "target": "t"}, "answer": {"steps": [["l", "e + 1", "e + 18"], ["e", "h + 20", "h + 38"], ["h", "x + 15", "x + 53"], ["x", "y + 4", "y + 57"], ["y", "a + 12", "a + 69"], ["a", 2, "71"]], "target_var_name": "t", "target_value": 71, "value_dict": {"a": 2}, "is_reverse": true}} | 22,091 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = a + 4; b = u + 6; x = y + 4; y = a + 12; t = l + 17; l = e + 1; u = q + 11; d = r + 8; o = d + 18; h = x + 15; a = 2; q = o + 20; e = h + 20. Given that a = 2, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = e + 1 to t, which gives t = e + 18.\n2. Substitute e = h + 20 to t, which gives t = h + 38.\n3. Substitute h = x + 15 to t, which gives t = x + 53.\n4. Substitute x = y + 4 to t, which gives t = y + 57.\n5. Substitute y = a + 12 to t, which gives t = a + 69.\n6. Substitute a = 2 to t, which gives t = 71.\n\nThus, the final answer is t = \\boxed{71}.",
"index": 22091,
"question": "Suppose a collection of variables is related by the following definitions: r = a + 4; b = u + 6; x = y + 4; y = a + 12; t = l + 17; l = e + 1; u = q + 11; d = r + 8; o = d + 18; h = x + 15; a = 2; q = o + 20; e = h + 20. Given that a = 2, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"v": "m + 17", "x": "v + 11", "q": "x + 7", "h": "q + 15", "t": "h + 16", "r": "t + 13", "n": "m + 19", "z": "n + 20", "d": "z + 2", "g": "d + 6", "f": "g + 1", "b": "f + 14", "m": 13}, "premises": {"m": 13}, "target": "r"}, "answer": {"steps": [["t", "h + 16", "h + 29"], ["h", "q + 15", "q + 44"], ["q", "x + 7", "x + 51"], ["x", "v + 11", "v + 62"], ["v", "m + 17", "m + 79"], ["m", 13, "92"]], "target_var_name": "r", "target_value": 92, "value_dict": {"m": 13}, "is_reverse": true}} | 22,092 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = q + 15; n = m + 19; q = x + 7; r = t + 13; g = d + 6; z = n + 20; b = f + 14; f = g + 1; m = 13; v = m + 17; t = h + 16; x = v + 11; d = z + 2. Given that m = 13, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = h + 16 to r, which gives r = h + 29.\n2. Substitute h = q + 15 to r, which gives r = q + 44.\n3. Substitute q = x + 7 to r, which gives r = x + 51.\n4. Substitute x = v + 11 to r, which gives r = v + 62.\n5. Substitute v = m + 17 to r, which gives r = m + 79.\n6. Substitute m = 13 to r, which gives r = 92.\n\nThus, the final answer is r = \\boxed{92}.",
"index": 22092,
"question": "Suppose a collection of variables is related by the following definitions: h = q + 15; n = m + 19; q = x + 7; r = t + 13; g = d + 6; z = n + 20; b = f + 14; f = g + 1; m = 13; v = m + 17; t = h + 16; x = v + 11; d = z + 2. Given that m = 13, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"i": "p + 13", "l": "i + 7", "u": "l + 2", "q": "u + 5", "r": "q + 7", "c": "r + 20", "n": "p + 10", "y": "n + 9", "g": "y + 19", "z": "g + 13", "t": "z + 18", "x": "t + 4", "p": 16}, "premises": {"p": 16}, "target": "c"}, "answer": {"steps": [["r", "q + 7", "q + 27"], ["q", "u + 5", "u + 32"], ["u", "l + 2", "l + 34"], ["l", "i + 7", "i + 41"], ["i", "p + 13", "p + 54"], ["p", 16, "70"]], "target_var_name": "c", "target_value": 70, "value_dict": {"p": 16}, "is_reverse": true}} | 22,093 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = q + 7; q = u + 5; p = 16; g = y + 19; n = p + 10; z = g + 13; c = r + 20; l = i + 7; x = t + 4; u = l + 2; i = p + 13; t = z + 18; y = n + 9. If p = 16, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = q + 7 to c, which gives c = q + 27.\n2. Substitute q = u + 5 to c, which gives c = u + 32.\n3. Substitute u = l + 2 to c, which gives c = l + 34.\n4. Substitute l = i + 7 to c, which gives c = i + 41.\n5. Substitute i = p + 13 to c, which gives c = p + 54.\n6. Substitute p = 16 to c, which gives c = 70.\n\nThus, the final answer is c = \\boxed{70}.",
"index": 22093,
"question": "Consider a system of variables where each variable is defined as follows: r = q + 7; q = u + 5; p = 16; g = y + 19; n = p + 10; z = g + 13; c = r + 20; l = i + 7; x = t + 4; u = l + 2; i = p + 13; t = z + 18; y = n + 9. If p = 16, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"e": "j + 2", "o": "e + 16", "y": "o + 5", "v": "y + 2", "n": "v + 6", "c": "n + 5", "a": "j + 5", "t": "a + 16", "g": "t + 18", "k": "g + 10", "i": "k + 2", "p": "i + 3", "j": 7}, "premises": {"j": 7}, "target": "c"}, "answer": {"steps": [["n", "v + 6", "v + 11"], ["v", "y + 2", "y + 13"], ["y", "o + 5", "o + 18"], ["o", "e + 16", "e + 34"], ["e", "j + 2", "j + 36"], ["j", 7, "43"]], "target_var_name": "c", "target_value": 43, "value_dict": {"j": 7}, "is_reverse": true}} | 22,094 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = j + 2; p = i + 3; i = k + 2; c = n + 5; v = y + 2; n = v + 6; y = o + 5; j = 7; o = e + 16; t = a + 16; k = g + 10; g = t + 18; a = j + 5. If j = 7, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = v + 6 to c, which gives c = v + 11.\n2. Substitute v = y + 2 to c, which gives c = y + 13.\n3. Substitute y = o + 5 to c, which gives c = o + 18.\n4. Substitute o = e + 16 to c, which gives c = e + 34.\n5. Substitute e = j + 2 to c, which gives c = j + 36.\n6. Substitute j = 7 to c, which gives c = 43.\n\nThus, the final answer is c = \\boxed{43}.",
"index": 22094,
"question": "Consider a system of variables where each variable is defined as follows: e = j + 2; p = i + 3; i = k + 2; c = n + 5; v = y + 2; n = v + 6; y = o + 5; j = 7; o = e + 16; t = a + 16; k = g + 10; g = t + 18; a = j + 5. If j = 7, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"f": "e + 12", "n": "f + 11", "y": "n + 14", "x": "y + 7", "a": "x + 13", "h": "a + 20", "q": "e + 3", "i": "q + 15", "z": "i + 17", "o": "z + 10", "p": "o + 10", "k": "p + 19", "e": 11}, "premises": {"e": 11}, "target": "h"}, "answer": {"steps": [["a", "x + 13", "x + 33"], ["x", "y + 7", "y + 40"], ["y", "n + 14", "n + 54"], ["n", "f + 11", "f + 65"], ["f", "e + 12", "e + 77"], ["e", 11, "88"]], "target_var_name": "h", "target_value": 88, "value_dict": {"e": 11}, "is_reverse": true}} | 22,095 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = z + 10; a = x + 13; y = n + 14; x = y + 7; n = f + 11; q = e + 3; z = i + 17; i = q + 15; k = p + 19; f = e + 12; p = o + 10; e = 11; h = a + 20. Given that e = 11, find the 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 a = x + 13 to h, which gives h = x + 33.\n2. Substitute x = y + 7 to h, which gives h = y + 40.\n3. Substitute y = n + 14 to h, which gives h = n + 54.\n4. Substitute n = f + 11 to h, which gives h = f + 65.\n5. Substitute f = e + 12 to h, which gives h = e + 77.\n6. Substitute e = 11 to h, which gives h = 88.\n\nThus, the final answer is h = \\boxed{88}.",
"index": 22095,
"question": "Suppose a collection of variables is related by the following definitions: o = z + 10; a = x + 13; y = n + 14; x = y + 7; n = f + 11; q = e + 3; z = i + 17; i = q + 15; k = p + 19; f = e + 12; p = o + 10; e = 11; h = a + 20. Given that e = 11, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"d": "y + 4", "p": "d + 12", "o": "p + 12", "u": "o + 17", "b": "u + 4", "j": "b + 4", "g": "y + 13", "n": "g + 1", "t": "n + 8", "s": "t + 18", "z": "s + 8", "v": "z + 3", "y": 20}, "premises": {"y": 20}, "target": "j"}, "answer": {"steps": [["b", "u + 4", "u + 8"], ["u", "o + 17", "o + 25"], ["o", "p + 12", "p + 37"], ["p", "d + 12", "d + 49"], ["d", "y + 4", "y + 53"], ["y", 20, "73"]], "target_var_name": "j", "target_value": 73, "value_dict": {"y": 20}, "is_reverse": true}} | 22,096 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = s + 8; y = 20; j = b + 4; s = t + 18; d = y + 4; n = g + 1; b = u + 4; u = o + 17; t = n + 8; o = p + 12; p = d + 12; g = y + 13; v = z + 3. If y = 20, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = u + 4 to j, which gives j = u + 8.\n2. Substitute u = o + 17 to j, which gives j = o + 25.\n3. Substitute o = p + 12 to j, which gives j = p + 37.\n4. Substitute p = d + 12 to j, which gives j = d + 49.\n5. Substitute d = y + 4 to j, which gives j = y + 53.\n6. Substitute y = 20 to j, which gives j = 73.\n\nThus, the final answer is j = \\boxed{73}.",
"index": 22096,
"question": "Consider a system of variables where each variable is defined as follows: z = s + 8; y = 20; j = b + 4; s = t + 18; d = y + 4; n = g + 1; b = u + 4; u = o + 17; t = n + 8; o = p + 12; p = d + 12; g = y + 13; v = z + 3. If y = 20, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"l": "g + 15", "z": "l + 1", "p": "z + 20", "y": "p + 19", "c": "y + 11", "m": "c + 5", "q": "g + 10", "d": "q + 4", "r": "d + 12", "i": "r + 10", "x": "i + 11", "a": "x + 1", "g": 10}, "premises": {"g": 10}, "target": "m"}, "answer": {"steps": [["c", "y + 11", "y + 16"], ["y", "p + 19", "p + 35"], ["p", "z + 20", "z + 55"], ["z", "l + 1", "l + 56"], ["l", "g + 15", "g + 71"], ["g", 10, "81"]], "target_var_name": "m", "target_value": 81, "value_dict": {"g": 10}, "is_reverse": true}} | 22,097 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = c + 5; q = g + 10; d = q + 4; x = i + 11; c = y + 11; z = l + 1; l = g + 15; g = 10; i = r + 10; a = x + 1; p = z + 20; y = p + 19; r = d + 12. Given that g = 10, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = y + 11 to m, which gives m = y + 16.\n2. Substitute y = p + 19 to m, which gives m = p + 35.\n3. Substitute p = z + 20 to m, which gives m = z + 55.\n4. Substitute z = l + 1 to m, which gives m = l + 56.\n5. Substitute l = g + 15 to m, which gives m = g + 71.\n6. Substitute g = 10 to m, which gives m = 81.\n\nThus, the final answer is m = \\boxed{81}.",
"index": 22097,
"question": "Suppose a collection of variables is related by the following definitions: m = c + 5; q = g + 10; d = q + 4; x = i + 11; c = y + 11; z = l + 1; l = g + 15; g = 10; i = r + 10; a = x + 1; p = z + 20; y = p + 19; r = d + 12. Given that g = 10, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"e": "b + 12", "h": "e + 10", "v": "h + 3", "d": "v + 13", "q": "d + 14", "c": "q + 19", "p": "b + 16", "z": "p + 18", "m": "z + 17", "i": "m + 15", "l": "i + 3", "a": "l + 3", "b": 7}, "premises": {"b": 7}, "target": "c"}, "answer": {"steps": [["q", "d + 14", "d + 33"], ["d", "v + 13", "v + 46"], ["v", "h + 3", "h + 49"], ["h", "e + 10", "e + 59"], ["e", "b + 12", "b + 71"], ["b", 7, "78"]], "target_var_name": "c", "target_value": 78, "value_dict": {"b": 7}, "is_reverse": true}} | 22,098 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = m + 15; m = z + 17; p = b + 16; c = q + 19; z = p + 18; d = v + 13; l = i + 3; b = 7; e = b + 12; v = h + 3; q = d + 14; h = e + 10; a = l + 3. Given that b = 7, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = d + 14 to c, which gives c = d + 33.\n2. Substitute d = v + 13 to c, which gives c = v + 46.\n3. Substitute v = h + 3 to c, which gives c = h + 49.\n4. Substitute h = e + 10 to c, which gives c = e + 59.\n5. Substitute e = b + 12 to c, which gives c = b + 71.\n6. Substitute b = 7 to c, which gives c = 78.\n\nThus, the final answer is c = \\boxed{78}.",
"index": 22098,
"question": "Suppose a collection of variables is related by the following definitions: i = m + 15; m = z + 17; p = b + 16; c = q + 19; z = p + 18; d = v + 13; l = i + 3; b = 7; e = b + 12; v = h + 3; q = d + 14; h = e + 10; a = l + 3. Given that b = 7, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"y": "f + 9", "t": "y + 13", "m": "t + 7", "r": "m + 4", "k": "r + 5", "e": "k + 10", "z": "f + 16", "p": "z + 17", "c": "p + 19", "g": "c + 17", "j": "g + 16", "d": "j + 17", "f": 18}, "premises": {"f": 18}, "target": "e"}, "answer": {"steps": [["k", "r + 5", "r + 15"], ["r", "m + 4", "m + 19"], ["m", "t + 7", "t + 26"], ["t", "y + 13", "y + 39"], ["y", "f + 9", "f + 48"], ["f", 18, "66"]], "target_var_name": "e", "target_value": 66, "value_dict": {"f": 18}, "is_reverse": true}} | 22,099 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = k + 10; t = y + 13; d = j + 17; j = g + 16; c = p + 19; f = 18; k = r + 5; r = m + 4; p = z + 17; g = c + 17; y = f + 9; z = f + 16; m = t + 7. Given that f = 18, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = r + 5 to e, which gives e = r + 15.\n2. Substitute r = m + 4 to e, which gives e = m + 19.\n3. Substitute m = t + 7 to e, which gives e = t + 26.\n4. Substitute t = y + 13 to e, which gives e = y + 39.\n5. Substitute y = f + 9 to e, which gives e = f + 48.\n6. Substitute f = 18 to e, which gives e = 66.\n\nThus, the final answer is e = \\boxed{66}.",
"index": 22099,
"question": "Suppose a collection of variables is related by the following definitions: e = k + 10; t = y + 13; d = j + 17; j = g + 16; c = p + 19; f = 18; k = r + 5; r = m + 4; p = z + 17; g = c + 17; y = f + 9; z = f + 16; m = t + 7. Given that f = 18, find the value of e.",
"split": "train"
} |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.