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": {"w": "l + 16", "z": "w + 7", "d": "z + 5", "b": "d + 6", "q": "b + 8", "m": "q + 10", "e": "l + 7", "n": "e + 5", "y": "n + 11", "u": "y + 19", "k": "u + 6", "f": "k + 18", "l": 18}, "premises": {"l": 18}, "target": "m"}, "answer": {"steps": [["q", "b + 8", "b + 18"], ["b", "d + 6", "d + 24"], ["d", "z + 5", "z + 29"], ["z", "w + 7", "w + 36"], ["w", "l + 16", "l + 52"], ["l", 18, "70"]], "target_var_name": "m", "target_value": 70, "value_dict": {"l": 18}, "is_reverse": true}} | 21,000 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = y + 19; k = u + 6; n = e + 5; e = l + 7; f = k + 18; w = l + 16; z = w + 7; l = 18; m = q + 10; q = b + 8; b = d + 6; d = z + 5; y = n + 11. If l = 18, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = b + 8 to m, which gives m = b + 18.\n2. Substitute b = d + 6 to m, which gives m = d + 24.\n3. Substitute d = z + 5 to m, which gives m = z + 29.\n4. Substitute z = w + 7 to m, which gives m = w + 36.\n5. Substitute w = l + 16 to m, which gives m = l + 52.\n6. Substitute l = 18 to m, which gives m = 70.\n\nThus, the final answer is m = \\boxed{70}.",
"index": 21000,
"question": "Consider a system of variables where each variable is defined as follows: u = y + 19; k = u + 6; n = e + 5; e = l + 7; f = k + 18; w = l + 16; z = w + 7; l = 18; m = q + 10; q = b + 8; b = d + 6; d = z + 5; y = n + 11. If l = 18, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"m": "i + 1", "b": "m + 15", "k": "b + 7", "q": "k + 5", "n": "q + 19", "o": "n + 15", "a": "i + 19", "g": "a + 1", "p": "g + 1", "j": "p + 2", "t": "j + 7", "s": "t + 5", "i": 10}, "premises": {"i": 10}, "target": "o"}, "answer": {"steps": [["n", "q + 19", "q + 34"], ["q", "k + 5", "k + 39"], ["k", "b + 7", "b + 46"], ["b", "m + 15", "m + 61"], ["m", "i + 1", "i + 62"], ["i", 10, "72"]], "target_var_name": "o", "target_value": 72, "value_dict": {"i": 10}, "is_reverse": true}} | 21,001 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = i + 19; q = k + 5; s = t + 5; t = j + 7; j = p + 2; p = g + 1; b = m + 15; g = a + 1; o = n + 15; k = b + 7; m = i + 1; n = q + 19; i = 10. Given that i = 10, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = q + 19 to o, which gives o = q + 34.\n2. Substitute q = k + 5 to o, which gives o = k + 39.\n3. Substitute k = b + 7 to o, which gives o = b + 46.\n4. Substitute b = m + 15 to o, which gives o = m + 61.\n5. Substitute m = i + 1 to o, which gives o = i + 62.\n6. Substitute i = 10 to o, which gives o = 72.\n\nThus, the final answer is o = \\boxed{72}.",
"index": 21001,
"question": "Suppose a collection of variables is related by the following definitions: a = i + 19; q = k + 5; s = t + 5; t = j + 7; j = p + 2; p = g + 1; b = m + 15; g = a + 1; o = n + 15; k = b + 7; m = i + 1; n = q + 19; i = 10. Given that i = 10, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"t": "v + 4", "s": "t + 6", "j": "s + 2", "l": "j + 2", "z": "l + 3", "q": "z + 14", "p": "v + 20", "i": "p + 2", "n": "i + 13", "r": "n + 12", "b": "r + 14", "f": "b + 1", "v": 4}, "premises": {"v": 4}, "target": "q"}, "answer": {"steps": [["z", "l + 3", "l + 17"], ["l", "j + 2", "j + 19"], ["j", "s + 2", "s + 21"], ["s", "t + 6", "t + 27"], ["t", "v + 4", "v + 31"], ["v", 4, "35"]], "target_var_name": "q", "target_value": 35, "value_dict": {"v": 4}, "is_reverse": true}} | 21,002 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = s + 2; b = r + 14; q = z + 14; t = v + 4; n = i + 13; v = 4; l = j + 2; s = t + 6; z = l + 3; i = p + 2; r = n + 12; p = v + 20; f = b + 1. Given that v = 4, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 35,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = l + 3 to q, which gives q = l + 17.\n2. Substitute l = j + 2 to q, which gives q = j + 19.\n3. Substitute j = s + 2 to q, which gives q = s + 21.\n4. Substitute s = t + 6 to q, which gives q = t + 27.\n5. Substitute t = v + 4 to q, which gives q = v + 31.\n6. Substitute v = 4 to q, which gives q = 35.\n\nThus, the final answer is q = \\boxed{35}.",
"index": 21002,
"question": "Suppose a collection of variables is related by the following definitions: j = s + 2; b = r + 14; q = z + 14; t = v + 4; n = i + 13; v = 4; l = j + 2; s = t + 6; z = l + 3; i = p + 2; r = n + 12; p = v + 20; f = b + 1. Given that v = 4, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"h": "l + 16", "p": "h + 13", "u": "p + 10", "q": "u + 6", "g": "q + 9", "b": "g + 13", "y": "l + 18", "v": "y + 9", "i": "v + 6", "s": "i + 1", "a": "s + 15", "o": "a + 5", "l": 14}, "premises": {"l": 14}, "target": "b"}, "answer": {"steps": [["g", "q + 9", "q + 22"], ["q", "u + 6", "u + 28"], ["u", "p + 10", "p + 38"], ["p", "h + 13", "h + 51"], ["h", "l + 16", "l + 67"], ["l", 14, "81"]], "target_var_name": "b", "target_value": 81, "value_dict": {"l": 14}, "is_reverse": true}} | 21,003 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = l + 16; l = 14; v = y + 9; g = q + 9; y = l + 18; s = i + 1; q = u + 6; i = v + 6; p = h + 13; u = p + 10; b = g + 13; o = a + 5; a = s + 15. If l = 14, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = q + 9 to b, which gives b = q + 22.\n2. Substitute q = u + 6 to b, which gives b = u + 28.\n3. Substitute u = p + 10 to b, which gives b = p + 38.\n4. Substitute p = h + 13 to b, which gives b = h + 51.\n5. Substitute h = l + 16 to b, which gives b = l + 67.\n6. Substitute l = 14 to b, which gives b = 81.\n\nThus, the final answer is b = \\boxed{81}.",
"index": 21003,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = l + 16; l = 14; v = y + 9; g = q + 9; y = l + 18; s = i + 1; q = u + 6; i = v + 6; p = h + 13; u = p + 10; b = g + 13; o = a + 5; a = s + 15. If l = 14, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"f": "x + 14", "h": "f + 2", "y": "h + 13", "g": "y + 18", "a": "g + 1", "n": "a + 4", "u": "x + 15", "p": "u + 6", "c": "p + 13", "e": "c + 6", "q": "e + 2", "m": "q + 7", "x": 6}, "premises": {"x": 6}, "target": "n"}, "answer": {"steps": [["a", "g + 1", "g + 5"], ["g", "y + 18", "y + 23"], ["y", "h + 13", "h + 36"], ["h", "f + 2", "f + 38"], ["f", "x + 14", "x + 52"], ["x", 6, "58"]], "target_var_name": "n", "target_value": 58, "value_dict": {"x": 6}, "is_reverse": true}} | 21,004 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = c + 6; y = h + 13; x = 6; h = f + 2; c = p + 13; m = q + 7; g = y + 18; a = g + 1; p = u + 6; f = x + 14; n = a + 4; u = x + 15; q = e + 2. If x = 6, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = g + 1 to n, which gives n = g + 5.\n2. Substitute g = y + 18 to n, which gives n = y + 23.\n3. Substitute y = h + 13 to n, which gives n = h + 36.\n4. Substitute h = f + 2 to n, which gives n = f + 38.\n5. Substitute f = x + 14 to n, which gives n = x + 52.\n6. Substitute x = 6 to n, which gives n = 58.\n\nThus, the final answer is n = \\boxed{58}.",
"index": 21004,
"question": "Consider a system of variables where each variable is defined as follows: e = c + 6; y = h + 13; x = 6; h = f + 2; c = p + 13; m = q + 7; g = y + 18; a = g + 1; p = u + 6; f = x + 14; n = a + 4; u = x + 15; q = e + 2. If x = 6, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"l": "w + 14", "e": "l + 11", "t": "e + 19", "h": "t + 8", "g": "h + 16", "i": "g + 16", "f": "w + 18", "x": "f + 18", "b": "x + 20", "d": "b + 18", "k": "d + 3", "s": "k + 11", "w": 10}, "premises": {"w": 10}, "target": "i"}, "answer": {"steps": [["g", "h + 16", "h + 32"], ["h", "t + 8", "t + 40"], ["t", "e + 19", "e + 59"], ["e", "l + 11", "l + 70"], ["l", "w + 14", "w + 84"], ["w", 10, "94"]], "target_var_name": "i", "target_value": 94, "value_dict": {"w": 10}, "is_reverse": true}} | 21,005 | 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 = t + 8; f = w + 18; i = g + 16; e = l + 11; x = f + 18; l = w + 14; s = k + 11; k = d + 3; g = h + 16; t = e + 19; d = b + 18; b = x + 20; w = 10. If w = 10, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = h + 16 to i, which gives i = h + 32.\n2. Substitute h = t + 8 to i, which gives i = t + 40.\n3. Substitute t = e + 19 to i, which gives i = e + 59.\n4. Substitute e = l + 11 to i, which gives i = l + 70.\n5. Substitute l = w + 14 to i, which gives i = w + 84.\n6. Substitute w = 10 to i, which gives i = 94.\n\nThus, the final answer is i = \\boxed{94}.",
"index": 21005,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = t + 8; f = w + 18; i = g + 16; e = l + 11; x = f + 18; l = w + 14; s = k + 11; k = d + 3; g = h + 16; t = e + 19; d = b + 18; b = x + 20; w = 10. If w = 10, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"u": "q + 9", "t": "u + 4", "o": "t + 7", "z": "o + 2", "v": "z + 11", "r": "v + 16", "g": "q + 4", "b": "g + 5", "k": "b + 10", "d": "k + 1", "h": "d + 4", "i": "h + 17", "q": 9}, "premises": {"q": 9}, "target": "r"}, "answer": {"steps": [["v", "z + 11", "z + 27"], ["z", "o + 2", "o + 29"], ["o", "t + 7", "t + 36"], ["t", "u + 4", "u + 40"], ["u", "q + 9", "q + 49"], ["q", 9, "58"]], "target_var_name": "r", "target_value": 58, "value_dict": {"q": 9}, "is_reverse": true}} | 21,006 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = t + 7; q = 9; t = u + 4; r = v + 16; i = h + 17; k = b + 10; h = d + 4; v = z + 11; b = g + 5; u = q + 9; z = o + 2; d = k + 1; g = q + 4. Given that q = 9, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = z + 11 to r, which gives r = z + 27.\n2. Substitute z = o + 2 to r, which gives r = o + 29.\n3. Substitute o = t + 7 to r, which gives r = t + 36.\n4. Substitute t = u + 4 to r, which gives r = u + 40.\n5. Substitute u = q + 9 to r, which gives r = q + 49.\n6. Substitute q = 9 to r, which gives r = 58.\n\nThus, the final answer is r = \\boxed{58}.",
"index": 21006,
"question": "Suppose a collection of variables is related by the following definitions: o = t + 7; q = 9; t = u + 4; r = v + 16; i = h + 17; k = b + 10; h = d + 4; v = z + 11; b = g + 5; u = q + 9; z = o + 2; d = k + 1; g = q + 4. Given that q = 9, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"r": "n + 4", "m": "r + 18", "y": "m + 1", "s": "y + 10", "k": "s + 2", "o": "k + 10", "z": "n + 4", "v": "z + 7", "w": "v + 5", "i": "w + 4", "p": "i + 3", "x": "p + 9", "n": 5}, "premises": {"n": 5}, "target": "o"}, "answer": {"steps": [["k", "s + 2", "s + 12"], ["s", "y + 10", "y + 22"], ["y", "m + 1", "m + 23"], ["m", "r + 18", "r + 41"], ["r", "n + 4", "n + 45"], ["n", 5, "50"]], "target_var_name": "o", "target_value": 50, "value_dict": {"n": 5}, "is_reverse": true}} | 21,007 | 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 = y + 10; n = 5; i = w + 4; k = s + 2; w = v + 5; r = n + 4; p = i + 3; m = r + 18; o = k + 10; x = p + 9; v = z + 7; y = m + 1; z = n + 4. If n = 5, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = s + 2 to o, which gives o = s + 12.\n2. Substitute s = y + 10 to o, which gives o = y + 22.\n3. Substitute y = m + 1 to o, which gives o = m + 23.\n4. Substitute m = r + 18 to o, which gives o = r + 41.\n5. Substitute r = n + 4 to o, which gives o = n + 45.\n6. Substitute n = 5 to o, which gives o = 50.\n\nThus, the final answer is o = \\boxed{50}.",
"index": 21007,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = y + 10; n = 5; i = w + 4; k = s + 2; w = v + 5; r = n + 4; p = i + 3; m = r + 18; o = k + 10; x = p + 9; v = z + 7; y = m + 1; z = n + 4. If n = 5, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"k": "m + 10", "v": "k + 10", "b": "v + 19", "q": "b + 19", "c": "q + 13", "z": "c + 18", "y": "m + 13", "e": "y + 19", "o": "e + 19", "x": "o + 17", "w": "x + 11", "l": "w + 4", "m": 16}, "premises": {"m": 16}, "target": "z"}, "answer": {"steps": [["c", "q + 13", "q + 31"], ["q", "b + 19", "b + 50"], ["b", "v + 19", "v + 69"], ["v", "k + 10", "k + 79"], ["k", "m + 10", "m + 89"], ["m", 16, "105"]], "target_var_name": "z", "target_value": 105, "value_dict": {"m": 16}, "is_reverse": true}} | 21,008 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = q + 13; z = c + 18; e = y + 19; m = 16; l = w + 4; k = m + 10; w = x + 11; b = v + 19; v = k + 10; q = b + 19; y = m + 13; x = o + 17; o = e + 19. If m = 16, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 105,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = q + 13 to z, which gives z = q + 31.\n2. Substitute q = b + 19 to z, which gives z = b + 50.\n3. Substitute b = v + 19 to z, which gives z = v + 69.\n4. Substitute v = k + 10 to z, which gives z = k + 79.\n5. Substitute k = m + 10 to z, which gives z = m + 89.\n6. Substitute m = 16 to z, which gives z = 105.\n\nThus, the final answer is z = \\boxed{105}.",
"index": 21008,
"question": "Consider a system of variables where each variable is defined as follows: c = q + 13; z = c + 18; e = y + 19; m = 16; l = w + 4; k = m + 10; w = x + 11; b = v + 19; v = k + 10; q = b + 19; y = m + 13; x = o + 17; o = e + 19. If m = 16, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"o": "u + 4", "b": "o + 11", "l": "b + 14", "j": "l + 19", "z": "j + 1", "p": "z + 13", "q": "u + 10", "y": "q + 8", "f": "y + 11", "g": "f + 12", "m": "g + 20", "r": "m + 20", "u": 17}, "premises": {"u": 17}, "target": "p"}, "answer": {"steps": [["z", "j + 1", "j + 14"], ["j", "l + 19", "l + 33"], ["l", "b + 14", "b + 47"], ["b", "o + 11", "o + 58"], ["o", "u + 4", "u + 62"], ["u", 17, "79"]], "target_var_name": "p", "target_value": 79, "value_dict": {"u": 17}, "is_reverse": true}} | 21,009 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = u + 10; l = b + 14; z = j + 1; p = z + 13; r = m + 20; b = o + 11; y = q + 8; m = g + 20; u = 17; f = y + 11; o = u + 4; j = l + 19; g = f + 12. If u = 17, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = j + 1 to p, which gives p = j + 14.\n2. Substitute j = l + 19 to p, which gives p = l + 33.\n3. Substitute l = b + 14 to p, which gives p = b + 47.\n4. Substitute b = o + 11 to p, which gives p = o + 58.\n5. Substitute o = u + 4 to p, which gives p = u + 62.\n6. Substitute u = 17 to p, which gives p = 79.\n\nThus, the final answer is p = \\boxed{79}.",
"index": 21009,
"question": "Consider a system of variables where each variable is defined as follows: q = u + 10; l = b + 14; z = j + 1; p = z + 13; r = m + 20; b = o + 11; y = q + 8; m = g + 20; u = 17; f = y + 11; o = u + 4; j = l + 19; g = f + 12. If u = 17, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"n": "e + 4", "j": "n + 8", "h": "j + 9", "s": "h + 19", "b": "s + 9", "z": "b + 15", "o": "e + 14", "w": "o + 7", "y": "w + 13", "u": "y + 5", "l": "u + 13", "m": "l + 17", "e": 16}, "premises": {"e": 16}, "target": "z"}, "answer": {"steps": [["b", "s + 9", "s + 24"], ["s", "h + 19", "h + 43"], ["h", "j + 9", "j + 52"], ["j", "n + 8", "n + 60"], ["n", "e + 4", "e + 64"], ["e", 16, "80"]], "target_var_name": "z", "target_value": 80, "value_dict": {"e": 16}, "is_reverse": true}} | 21,010 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = s + 9; u = y + 5; z = b + 15; h = j + 9; m = l + 17; e = 16; o = e + 14; l = u + 13; y = w + 13; j = n + 8; s = h + 19; n = e + 4; w = o + 7. Given that e = 16, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = s + 9 to z, which gives z = s + 24.\n2. Substitute s = h + 19 to z, which gives z = h + 43.\n3. Substitute h = j + 9 to z, which gives z = j + 52.\n4. Substitute j = n + 8 to z, which gives z = n + 60.\n5. Substitute n = e + 4 to z, which gives z = e + 64.\n6. Substitute e = 16 to z, which gives z = 80.\n\nThus, the final answer is z = \\boxed{80}.",
"index": 21010,
"question": "Suppose a collection of variables is related by the following definitions: b = s + 9; u = y + 5; z = b + 15; h = j + 9; m = l + 17; e = 16; o = e + 14; l = u + 13; y = w + 13; j = n + 8; s = h + 19; n = e + 4; w = o + 7. Given that e = 16, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"d": "u + 20", "l": "d + 15", "r": "l + 9", "g": "r + 9", "i": "g + 19", "v": "i + 14", "a": "u + 15", "b": "a + 17", "y": "b + 10", "o": "y + 15", "n": "o + 18", "q": "n + 13", "u": 20}, "premises": {"u": 20}, "target": "v"}, "answer": {"steps": [["i", "g + 19", "g + 33"], ["g", "r + 9", "r + 42"], ["r", "l + 9", "l + 51"], ["l", "d + 15", "d + 66"], ["d", "u + 20", "u + 86"], ["u", 20, "106"]], "target_var_name": "v", "target_value": 106, "value_dict": {"u": 20}, "is_reverse": true}} | 21,011 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = u + 15; i = g + 19; v = i + 14; d = u + 20; g = r + 9; r = l + 9; q = n + 13; n = o + 18; y = b + 10; b = a + 17; o = y + 15; l = d + 15; u = 20. If u = 20, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 106,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = g + 19 to v, which gives v = g + 33.\n2. Substitute g = r + 9 to v, which gives v = r + 42.\n3. Substitute r = l + 9 to v, which gives v = l + 51.\n4. Substitute l = d + 15 to v, which gives v = d + 66.\n5. Substitute d = u + 20 to v, which gives v = u + 86.\n6. Substitute u = 20 to v, which gives v = 106.\n\nThus, the final answer is v = \\boxed{106}.",
"index": 21011,
"question": "Consider a system of variables where each variable is defined as follows: a = u + 15; i = g + 19; v = i + 14; d = u + 20; g = r + 9; r = l + 9; q = n + 13; n = o + 18; y = b + 10; b = a + 17; o = y + 15; l = d + 15; u = 20. If u = 20, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"f": "d + 6", "w": "f + 11", "e": "w + 20", "s": "e + 17", "y": "s + 20", "j": "y + 7", "k": "d + 15", "a": "k + 12", "r": "a + 19", "u": "r + 10", "z": "u + 12", "i": "z + 1", "d": 18}, "premises": {"d": 18}, "target": "j"}, "answer": {"steps": [["y", "s + 20", "s + 27"], ["s", "e + 17", "e + 44"], ["e", "w + 20", "w + 64"], ["w", "f + 11", "f + 75"], ["f", "d + 6", "d + 81"], ["d", 18, "99"]], "target_var_name": "j", "target_value": 99, "value_dict": {"d": 18}, "is_reverse": true}} | 21,012 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = r + 10; r = a + 19; z = u + 12; a = k + 12; j = y + 7; s = e + 17; y = s + 20; i = z + 1; d = 18; w = f + 11; f = d + 6; k = d + 15; e = w + 20. Given that d = 18, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = s + 20 to j, which gives j = s + 27.\n2. Substitute s = e + 17 to j, which gives j = e + 44.\n3. Substitute e = w + 20 to j, which gives j = w + 64.\n4. Substitute w = f + 11 to j, which gives j = f + 75.\n5. Substitute f = d + 6 to j, which gives j = d + 81.\n6. Substitute d = 18 to j, which gives j = 99.\n\nThus, the final answer is j = \\boxed{99}.",
"index": 21012,
"question": "Suppose a collection of variables is related by the following definitions: u = r + 10; r = a + 19; z = u + 12; a = k + 12; j = y + 7; s = e + 17; y = s + 20; i = z + 1; d = 18; w = f + 11; f = d + 6; k = d + 15; e = w + 20. Given that d = 18, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"t": "x + 18", "o": "t + 16", "g": "o + 8", "p": "g + 13", "a": "p + 20", "u": "a + 15", "q": "x + 16", "h": "q + 7", "f": "h + 12", "w": "f + 8", "e": "w + 3", "m": "e + 1", "x": 5}, "premises": {"x": 5}, "target": "u"}, "answer": {"steps": [["a", "p + 20", "p + 35"], ["p", "g + 13", "g + 48"], ["g", "o + 8", "o + 56"], ["o", "t + 16", "t + 72"], ["t", "x + 18", "x + 90"], ["x", 5, "95"]], "target_var_name": "u", "target_value": 95, "value_dict": {"x": 5}, "is_reverse": true}} | 21,013 | 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 = q + 7; t = x + 18; q = x + 16; f = h + 12; a = p + 20; g = o + 8; e = w + 3; x = 5; m = e + 1; p = g + 13; w = f + 8; u = a + 15; o = t + 16. If x = 5, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = p + 20 to u, which gives u = p + 35.\n2. Substitute p = g + 13 to u, which gives u = g + 48.\n3. Substitute g = o + 8 to u, which gives u = o + 56.\n4. Substitute o = t + 16 to u, which gives u = t + 72.\n5. Substitute t = x + 18 to u, which gives u = x + 90.\n6. Substitute x = 5 to u, which gives u = 95.\n\nThus, the final answer is u = \\boxed{95}.",
"index": 21013,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = q + 7; t = x + 18; q = x + 16; f = h + 12; a = p + 20; g = o + 8; e = w + 3; x = 5; m = e + 1; p = g + 13; w = f + 8; u = a + 15; o = t + 16. If x = 5, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"b": "i + 15", "e": "b + 15", "o": "e + 4", "a": "o + 1", "n": "a + 20", "z": "n + 17", "u": "i + 10", "h": "u + 19", "k": "h + 19", "r": "k + 19", "t": "r + 7", "j": "t + 16", "i": 19}, "premises": {"i": 19}, "target": "z"}, "answer": {"steps": [["n", "a + 20", "a + 37"], ["a", "o + 1", "o + 38"], ["o", "e + 4", "e + 42"], ["e", "b + 15", "b + 57"], ["b", "i + 15", "i + 72"], ["i", 19, "91"]], "target_var_name": "z", "target_value": 91, "value_dict": {"i": 19}, "is_reverse": true}} | 21,014 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = t + 16; e = b + 15; o = e + 4; b = i + 15; k = h + 19; h = u + 19; n = a + 20; i = 19; r = k + 19; u = i + 10; t = r + 7; z = n + 17; a = o + 1. Given that i = 19, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = a + 20 to z, which gives z = a + 37.\n2. Substitute a = o + 1 to z, which gives z = o + 38.\n3. Substitute o = e + 4 to z, which gives z = e + 42.\n4. Substitute e = b + 15 to z, which gives z = b + 57.\n5. Substitute b = i + 15 to z, which gives z = i + 72.\n6. Substitute i = 19 to z, which gives z = 91.\n\nThus, the final answer is z = \\boxed{91}.",
"index": 21014,
"question": "Suppose a collection of variables is related by the following definitions: j = t + 16; e = b + 15; o = e + 4; b = i + 15; k = h + 19; h = u + 19; n = a + 20; i = 19; r = k + 19; u = i + 10; t = r + 7; z = n + 17; a = o + 1. Given that i = 19, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"o": "i + 12", "b": "o + 12", "e": "b + 20", "k": "e + 6", "v": "k + 16", "f": "v + 14", "w": "i + 9", "s": "w + 14", "j": "s + 11", "q": "j + 20", "a": "q + 18", "t": "a + 11", "i": 11}, "premises": {"i": 11}, "target": "f"}, "answer": {"steps": [["v", "k + 16", "k + 30"], ["k", "e + 6", "e + 36"], ["e", "b + 20", "b + 56"], ["b", "o + 12", "o + 68"], ["o", "i + 12", "i + 80"], ["i", 11, "91"]], "target_var_name": "f", "target_value": 91, "value_dict": {"i": 11}, "is_reverse": true}} | 21,015 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = s + 11; q = j + 20; f = v + 14; t = a + 11; o = i + 12; a = q + 18; k = e + 6; i = 11; s = w + 14; v = k + 16; e = b + 20; b = o + 12; w = i + 9. If i = 11, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = k + 16 to f, which gives f = k + 30.\n2. Substitute k = e + 6 to f, which gives f = e + 36.\n3. Substitute e = b + 20 to f, which gives f = b + 56.\n4. Substitute b = o + 12 to f, which gives f = o + 68.\n5. Substitute o = i + 12 to f, which gives f = i + 80.\n6. Substitute i = 11 to f, which gives f = 91.\n\nThus, the final answer is f = \\boxed{91}.",
"index": 21015,
"question": "Consider a system of variables where each variable is defined as follows: j = s + 11; q = j + 20; f = v + 14; t = a + 11; o = i + 12; a = q + 18; k = e + 6; i = 11; s = w + 14; v = k + 16; e = b + 20; b = o + 12; w = i + 9. If i = 11, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"d": "o + 14", "h": "d + 15", "z": "h + 11", "u": "z + 19", "v": "u + 2", "e": "v + 7", "r": "o + 3", "t": "r + 14", "m": "t + 11", "a": "m + 3", "q": "a + 12", "j": "q + 16", "o": 19}, "premises": {"o": 19}, "target": "e"}, "answer": {"steps": [["v", "u + 2", "u + 9"], ["u", "z + 19", "z + 28"], ["z", "h + 11", "h + 39"], ["h", "d + 15", "d + 54"], ["d", "o + 14", "o + 68"], ["o", 19, "87"]], "target_var_name": "e", "target_value": 87, "value_dict": {"o": 19}, "is_reverse": true}} | 21,016 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = a + 12; v = u + 2; u = z + 19; o = 19; t = r + 14; r = o + 3; h = d + 15; e = v + 7; z = h + 11; j = q + 16; a = m + 3; d = o + 14; m = t + 11. If o = 19, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = u + 2 to e, which gives e = u + 9.\n2. Substitute u = z + 19 to e, which gives e = z + 28.\n3. Substitute z = h + 11 to e, which gives e = h + 39.\n4. Substitute h = d + 15 to e, which gives e = d + 54.\n5. Substitute d = o + 14 to e, which gives e = o + 68.\n6. Substitute o = 19 to e, which gives e = 87.\n\nThus, the final answer is e = \\boxed{87}.",
"index": 21016,
"question": "Consider a system of variables where each variable is defined as follows: q = a + 12; v = u + 2; u = z + 19; o = 19; t = r + 14; r = o + 3; h = d + 15; e = v + 7; z = h + 11; j = q + 16; a = m + 3; d = o + 14; m = t + 11. If o = 19, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"l": "t + 6", "j": "l + 14", "z": "j + 2", "o": "z + 17", "h": "o + 9", "b": "h + 14", "p": "t + 6", "k": "p + 18", "u": "k + 13", "f": "u + 8", "a": "f + 20", "r": "a + 2", "t": 2}, "premises": {"t": 2}, "target": "b"}, "answer": {"steps": [["h", "o + 9", "o + 23"], ["o", "z + 17", "z + 40"], ["z", "j + 2", "j + 42"], ["j", "l + 14", "l + 56"], ["l", "t + 6", "t + 62"], ["t", 2, "64"]], "target_var_name": "b", "target_value": 64, "value_dict": {"t": 2}, "is_reverse": true}} | 21,017 | 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 + 18; a = f + 20; j = l + 14; z = j + 2; p = t + 6; b = h + 14; o = z + 17; h = o + 9; f = u + 8; u = k + 13; l = t + 6; r = a + 2; t = 2. If t = 2, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = o + 9 to b, which gives b = o + 23.\n2. Substitute o = z + 17 to b, which gives b = z + 40.\n3. Substitute z = j + 2 to b, which gives b = j + 42.\n4. Substitute j = l + 14 to b, which gives b = l + 56.\n5. Substitute l = t + 6 to b, which gives b = t + 62.\n6. Substitute t = 2 to b, which gives b = 64.\n\nThus, the final answer is b = \\boxed{64}.",
"index": 21017,
"question": "Consider a system of variables where each variable is defined as follows: k = p + 18; a = f + 20; j = l + 14; z = j + 2; p = t + 6; b = h + 14; o = z + 17; h = o + 9; f = u + 8; u = k + 13; l = t + 6; r = a + 2; t = 2. If t = 2, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"i": "n + 2", "b": "i + 13", "g": "b + 19", "z": "g + 14", "j": "z + 7", "q": "j + 3", "v": "n + 17", "m": "v + 20", "s": "m + 16", "h": "s + 2", "e": "h + 6", "d": "e + 16", "n": 7}, "premises": {"n": 7}, "target": "q"}, "answer": {"steps": [["j", "z + 7", "z + 10"], ["z", "g + 14", "g + 24"], ["g", "b + 19", "b + 43"], ["b", "i + 13", "i + 56"], ["i", "n + 2", "n + 58"], ["n", 7, "65"]], "target_var_name": "q", "target_value": 65, "value_dict": {"n": 7}, "is_reverse": true}} | 21,018 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = n + 2; v = n + 17; n = 7; e = h + 6; d = e + 16; q = j + 3; s = m + 16; j = z + 7; z = g + 14; g = b + 19; m = v + 20; h = s + 2; b = i + 13. Given that n = 7, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = z + 7 to q, which gives q = z + 10.\n2. Substitute z = g + 14 to q, which gives q = g + 24.\n3. Substitute g = b + 19 to q, which gives q = b + 43.\n4. Substitute b = i + 13 to q, which gives q = i + 56.\n5. Substitute i = n + 2 to q, which gives q = n + 58.\n6. Substitute n = 7 to q, which gives q = 65.\n\nThus, the final answer is q = \\boxed{65}.",
"index": 21018,
"question": "Suppose a collection of variables is related by the following definitions: i = n + 2; v = n + 17; n = 7; e = h + 6; d = e + 16; q = j + 3; s = m + 16; j = z + 7; z = g + 14; g = b + 19; m = v + 20; h = s + 2; b = i + 13. Given that n = 7, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"a": "q + 5", "x": "a + 7", "t": "x + 3", "j": "t + 1", "g": "j + 4", "n": "g + 19", "b": "q + 11", "y": "b + 10", "k": "y + 20", "l": "k + 7", "d": "l + 19", "e": "d + 19", "q": 15}, "premises": {"q": 15}, "target": "n"}, "answer": {"steps": [["g", "j + 4", "j + 23"], ["j", "t + 1", "t + 24"], ["t", "x + 3", "x + 27"], ["x", "a + 7", "a + 34"], ["a", "q + 5", "q + 39"], ["q", 15, "54"]], "target_var_name": "n", "target_value": 54, "value_dict": {"q": 15}, "is_reverse": true}} | 21,019 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = y + 20; t = x + 3; n = g + 19; q = 15; b = q + 11; d = l + 19; a = q + 5; g = j + 4; j = t + 1; l = k + 7; y = b + 10; e = d + 19; x = a + 7. If q = 15, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = j + 4 to n, which gives n = j + 23.\n2. Substitute j = t + 1 to n, which gives n = t + 24.\n3. Substitute t = x + 3 to n, which gives n = x + 27.\n4. Substitute x = a + 7 to n, which gives n = a + 34.\n5. Substitute a = q + 5 to n, which gives n = q + 39.\n6. Substitute q = 15 to n, which gives n = 54.\n\nThus, the final answer is n = \\boxed{54}.",
"index": 21019,
"question": "Consider a system of variables where each variable is defined as follows: k = y + 20; t = x + 3; n = g + 19; q = 15; b = q + 11; d = l + 19; a = q + 5; g = j + 4; j = t + 1; l = k + 7; y = b + 10; e = d + 19; x = a + 7. If q = 15, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"f": "p + 9", "x": "f + 5", "s": "x + 19", "h": "s + 20", "t": "h + 9", "e": "t + 19", "v": "p + 11", "k": "v + 2", "l": "k + 9", "j": "l + 4", "a": "j + 11", "o": "a + 3", "p": 9}, "premises": {"p": 9}, "target": "e"}, "answer": {"steps": [["t", "h + 9", "h + 28"], ["h", "s + 20", "s + 48"], ["s", "x + 19", "x + 67"], ["x", "f + 5", "f + 72"], ["f", "p + 9", "p + 81"], ["p", 9, "90"]], "target_var_name": "e", "target_value": 90, "value_dict": {"p": 9}, "is_reverse": true}} | 21,020 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = k + 9; f = p + 9; v = p + 11; h = s + 20; e = t + 19; x = f + 5; j = l + 4; s = x + 19; p = 9; a = j + 11; t = h + 9; o = a + 3; k = v + 2. Given that p = 9, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = h + 9 to e, which gives e = h + 28.\n2. Substitute h = s + 20 to e, which gives e = s + 48.\n3. Substitute s = x + 19 to e, which gives e = x + 67.\n4. Substitute x = f + 5 to e, which gives e = f + 72.\n5. Substitute f = p + 9 to e, which gives e = p + 81.\n6. Substitute p = 9 to e, which gives e = 90.\n\nThus, the final answer is e = \\boxed{90}.",
"index": 21020,
"question": "Suppose a collection of variables is related by the following definitions: l = k + 9; f = p + 9; v = p + 11; h = s + 20; e = t + 19; x = f + 5; j = l + 4; s = x + 19; p = 9; a = j + 11; t = h + 9; o = a + 3; k = v + 2. Given that p = 9, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"v": "k + 10", "d": "v + 10", "u": "d + 12", "z": "u + 2", "s": "z + 5", "q": "s + 19", "p": "k + 6", "e": "p + 10", "g": "e + 10", "y": "g + 17", "r": "y + 4", "o": "r + 14", "k": 3}, "premises": {"k": 3}, "target": "q"}, "answer": {"steps": [["s", "z + 5", "z + 24"], ["z", "u + 2", "u + 26"], ["u", "d + 12", "d + 38"], ["d", "v + 10", "v + 48"], ["v", "k + 10", "k + 58"], ["k", 3, "61"]], "target_var_name": "q", "target_value": 61, "value_dict": {"k": 3}, "is_reverse": true}} | 21,021 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = 3; e = p + 10; u = d + 12; y = g + 17; r = y + 4; p = k + 6; o = r + 14; g = e + 10; v = k + 10; q = s + 19; s = z + 5; d = v + 10; z = u + 2. If k = 3, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = z + 5 to q, which gives q = z + 24.\n2. Substitute z = u + 2 to q, which gives q = u + 26.\n3. Substitute u = d + 12 to q, which gives q = d + 38.\n4. Substitute d = v + 10 to q, which gives q = v + 48.\n5. Substitute v = k + 10 to q, which gives q = k + 58.\n6. Substitute k = 3 to q, which gives q = 61.\n\nThus, the final answer is q = \\boxed{61}.",
"index": 21021,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = 3; e = p + 10; u = d + 12; y = g + 17; r = y + 4; p = k + 6; o = r + 14; g = e + 10; v = k + 10; q = s + 19; s = z + 5; d = v + 10; z = u + 2. If k = 3, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"c": "f + 18", "l": "c + 11", "b": "l + 10", "n": "b + 13", "e": "n + 1", "k": "e + 7", "z": "f + 15", "y": "z + 3", "o": "y + 13", "a": "o + 12", "h": "a + 9", "x": "h + 5", "f": 14}, "premises": {"f": 14}, "target": "k"}, "answer": {"steps": [["e", "n + 1", "n + 8"], ["n", "b + 13", "b + 21"], ["b", "l + 10", "l + 31"], ["l", "c + 11", "c + 42"], ["c", "f + 18", "f + 60"], ["f", 14, "74"]], "target_var_name": "k", "target_value": 74, "value_dict": {"f": 14}, "is_reverse": true}} | 21,022 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = o + 12; b = l + 10; z = f + 15; x = h + 5; h = a + 9; k = e + 7; l = c + 11; o = y + 13; y = z + 3; n = b + 13; e = n + 1; f = 14; c = f + 18. If f = 14, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = n + 1 to k, which gives k = n + 8.\n2. Substitute n = b + 13 to k, which gives k = b + 21.\n3. Substitute b = l + 10 to k, which gives k = l + 31.\n4. Substitute l = c + 11 to k, which gives k = c + 42.\n5. Substitute c = f + 18 to k, which gives k = f + 60.\n6. Substitute f = 14 to k, which gives k = 74.\n\nThus, the final answer is k = \\boxed{74}.",
"index": 21022,
"question": "Consider a system of variables where each variable is defined as follows: a = o + 12; b = l + 10; z = f + 15; x = h + 5; h = a + 9; k = e + 7; l = c + 11; o = y + 13; y = z + 3; n = b + 13; e = n + 1; f = 14; c = f + 18. If f = 14, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"d": "u + 18", "l": "d + 2", "a": "l + 9", "e": "a + 10", "p": "e + 14", "n": "p + 12", "h": "u + 20", "q": "h + 10", "z": "q + 17", "c": "z + 9", "j": "c + 16", "v": "j + 9", "u": 7}, "premises": {"u": 7}, "target": "n"}, "answer": {"steps": [["p", "e + 14", "e + 26"], ["e", "a + 10", "a + 36"], ["a", "l + 9", "l + 45"], ["l", "d + 2", "d + 47"], ["d", "u + 18", "u + 65"], ["u", 7, "72"]], "target_var_name": "n", "target_value": 72, "value_dict": {"u": 7}, "is_reverse": true}} | 21,023 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = u + 18; z = q + 17; n = p + 12; q = h + 10; j = c + 16; l = d + 2; v = j + 9; u = 7; e = a + 10; h = u + 20; p = e + 14; c = z + 9; a = l + 9. If u = 7, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = e + 14 to n, which gives n = e + 26.\n2. Substitute e = a + 10 to n, which gives n = a + 36.\n3. Substitute a = l + 9 to n, which gives n = l + 45.\n4. Substitute l = d + 2 to n, which gives n = d + 47.\n5. Substitute d = u + 18 to n, which gives n = u + 65.\n6. Substitute u = 7 to n, which gives n = 72.\n\nThus, the final answer is n = \\boxed{72}.",
"index": 21023,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = u + 18; z = q + 17; n = p + 12; q = h + 10; j = c + 16; l = d + 2; v = j + 9; u = 7; e = a + 10; h = u + 20; p = e + 14; c = z + 9; a = l + 9. If u = 7, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"r": "u + 13", "n": "r + 5", "i": "n + 3", "f": "i + 3", "x": "f + 15", "j": "x + 6", "q": "u + 2", "z": "q + 5", "a": "z + 7", "w": "a + 5", "b": "w + 18", "p": "b + 18", "u": 8}, "premises": {"u": 8}, "target": "j"}, "answer": {"steps": [["x", "f + 15", "f + 21"], ["f", "i + 3", "i + 24"], ["i", "n + 3", "n + 27"], ["n", "r + 5", "r + 32"], ["r", "u + 13", "u + 45"], ["u", 8, "53"]], "target_var_name": "j", "target_value": 53, "value_dict": {"u": 8}, "is_reverse": true}} | 21,024 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = x + 6; x = f + 15; b = w + 18; z = q + 5; w = a + 5; f = i + 3; r = u + 13; a = z + 7; i = n + 3; u = 8; p = b + 18; q = u + 2; n = r + 5. Given that u = 8, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = f + 15 to j, which gives j = f + 21.\n2. Substitute f = i + 3 to j, which gives j = i + 24.\n3. Substitute i = n + 3 to j, which gives j = n + 27.\n4. Substitute n = r + 5 to j, which gives j = r + 32.\n5. Substitute r = u + 13 to j, which gives j = u + 45.\n6. Substitute u = 8 to j, which gives j = 53.\n\nThus, the final answer is j = \\boxed{53}.",
"index": 21024,
"question": "Suppose a collection of variables is related by the following definitions: j = x + 6; x = f + 15; b = w + 18; z = q + 5; w = a + 5; f = i + 3; r = u + 13; a = z + 7; i = n + 3; u = 8; p = b + 18; q = u + 2; n = r + 5. Given that u = 8, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"l": "g + 7", "p": "l + 3", "e": "p + 1", "q": "e + 10", "d": "q + 20", "h": "d + 15", "r": "g + 1", "s": "r + 12", "x": "s + 20", "y": "x + 18", "w": "y + 2", "u": "w + 3", "g": 4}, "premises": {"g": 4}, "target": "h"}, "answer": {"steps": [["d", "q + 20", "q + 35"], ["q", "e + 10", "e + 45"], ["e", "p + 1", "p + 46"], ["p", "l + 3", "l + 49"], ["l", "g + 7", "g + 56"], ["g", 4, "60"]], "target_var_name": "h", "target_value": 60, "value_dict": {"g": 4}, "is_reverse": true}} | 21,025 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = x + 18; u = w + 3; d = q + 20; p = l + 3; e = p + 1; s = r + 12; h = d + 15; g = 4; q = e + 10; l = g + 7; x = s + 20; r = g + 1; w = y + 2. If g = 4, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = q + 20 to h, which gives h = q + 35.\n2. Substitute q = e + 10 to h, which gives h = e + 45.\n3. Substitute e = p + 1 to h, which gives h = p + 46.\n4. Substitute p = l + 3 to h, which gives h = l + 49.\n5. Substitute l = g + 7 to h, which gives h = g + 56.\n6. Substitute g = 4 to h, which gives h = 60.\n\nThus, the final answer is h = \\boxed{60}.",
"index": 21025,
"question": "Consider a system of variables where each variable is defined as follows: y = x + 18; u = w + 3; d = q + 20; p = l + 3; e = p + 1; s = r + 12; h = d + 15; g = 4; q = e + 10; l = g + 7; x = s + 20; r = g + 1; w = y + 2. If g = 4, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"p": "o + 10", "a": "p + 10", "f": "a + 19", "q": "f + 19", "y": "q + 14", "n": "y + 9", "g": "o + 9", "b": "g + 6", "r": "b + 7", "l": "r + 15", "u": "l + 4", "s": "u + 5", "o": 18}, "premises": {"o": 18}, "target": "n"}, "answer": {"steps": [["y", "q + 14", "q + 23"], ["q", "f + 19", "f + 42"], ["f", "a + 19", "a + 61"], ["a", "p + 10", "p + 71"], ["p", "o + 10", "o + 81"], ["o", 18, "99"]], "target_var_name": "n", "target_value": 99, "value_dict": {"o": 18}, "is_reverse": true}} | 21,026 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = q + 14; r = b + 7; l = r + 15; o = 18; b = g + 6; a = p + 10; f = a + 19; g = o + 9; s = u + 5; q = f + 19; u = l + 4; p = o + 10; n = y + 9. If o = 18, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = q + 14 to n, which gives n = q + 23.\n2. Substitute q = f + 19 to n, which gives n = f + 42.\n3. Substitute f = a + 19 to n, which gives n = a + 61.\n4. Substitute a = p + 10 to n, which gives n = p + 71.\n5. Substitute p = o + 10 to n, which gives n = o + 81.\n6. Substitute o = 18 to n, which gives n = 99.\n\nThus, the final answer is n = \\boxed{99}.",
"index": 21026,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = q + 14; r = b + 7; l = r + 15; o = 18; b = g + 6; a = p + 10; f = a + 19; g = o + 9; s = u + 5; q = f + 19; u = l + 4; p = o + 10; n = y + 9. If o = 18, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"s": "g + 8", "w": "s + 13", "h": "w + 7", "o": "h + 15", "d": "o + 18", "z": "d + 11", "m": "g + 17", "n": "m + 2", "k": "n + 11", "b": "k + 2", "u": "b + 2", "f": "u + 8", "g": 8}, "premises": {"g": 8}, "target": "z"}, "answer": {"steps": [["d", "o + 18", "o + 29"], ["o", "h + 15", "h + 44"], ["h", "w + 7", "w + 51"], ["w", "s + 13", "s + 64"], ["s", "g + 8", "g + 72"], ["g", 8, "80"]], "target_var_name": "z", "target_value": 80, "value_dict": {"g": 8}, "is_reverse": true}} | 21,027 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = d + 11; d = o + 18; w = s + 13; m = g + 17; k = n + 11; g = 8; s = g + 8; h = w + 7; b = k + 2; u = b + 2; f = u + 8; o = h + 15; n = m + 2. If g = 8, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = o + 18 to z, which gives z = o + 29.\n2. Substitute o = h + 15 to z, which gives z = h + 44.\n3. Substitute h = w + 7 to z, which gives z = w + 51.\n4. Substitute w = s + 13 to z, which gives z = s + 64.\n5. Substitute s = g + 8 to z, which gives z = g + 72.\n6. Substitute g = 8 to z, which gives z = 80.\n\nThus, the final answer is z = \\boxed{80}.",
"index": 21027,
"question": "Consider a system of variables where each variable is defined as follows: z = d + 11; d = o + 18; w = s + 13; m = g + 17; k = n + 11; g = 8; s = g + 8; h = w + 7; b = k + 2; u = b + 2; f = u + 8; o = h + 15; n = m + 2. If g = 8, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"b": "y + 2", "z": "b + 1", "f": "z + 20", "j": "f + 12", "c": "j + 15", "d": "c + 10", "t": "y + 9", "e": "t + 6", "a": "e + 11", "l": "a + 4", "g": "l + 12", "o": "g + 1", "y": 11}, "premises": {"y": 11}, "target": "d"}, "answer": {"steps": [["c", "j + 15", "j + 25"], ["j", "f + 12", "f + 37"], ["f", "z + 20", "z + 57"], ["z", "b + 1", "b + 58"], ["b", "y + 2", "y + 60"], ["y", 11, "71"]], "target_var_name": "d", "target_value": 71, "value_dict": {"y": 11}, "is_reverse": true}} | 21,028 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = 11; l = a + 4; z = b + 1; f = z + 20; g = l + 12; t = y + 9; e = t + 6; b = y + 2; o = g + 1; d = c + 10; a = e + 11; c = j + 15; j = f + 12. If y = 11, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = j + 15 to d, which gives d = j + 25.\n2. Substitute j = f + 12 to d, which gives d = f + 37.\n3. Substitute f = z + 20 to d, which gives d = z + 57.\n4. Substitute z = b + 1 to d, which gives d = b + 58.\n5. Substitute b = y + 2 to d, which gives d = y + 60.\n6. Substitute y = 11 to d, which gives d = 71.\n\nThus, the final answer is d = \\boxed{71}.",
"index": 21028,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = 11; l = a + 4; z = b + 1; f = z + 20; g = l + 12; t = y + 9; e = t + 6; b = y + 2; o = g + 1; d = c + 10; a = e + 11; c = j + 15; j = f + 12. If y = 11, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"c": "g + 10", "v": "c + 13", "t": "v + 4", "r": "t + 5", "k": "r + 5", "w": "k + 4", "b": "g + 4", "i": "b + 2", "o": "i + 3", "m": "o + 16", "a": "m + 11", "p": "a + 18", "g": 14}, "premises": {"g": 14}, "target": "w"}, "answer": {"steps": [["k", "r + 5", "r + 9"], ["r", "t + 5", "t + 14"], ["t", "v + 4", "v + 18"], ["v", "c + 13", "c + 31"], ["c", "g + 10", "g + 41"], ["g", 14, "55"]], "target_var_name": "w", "target_value": 55, "value_dict": {"g": 14}, "is_reverse": true}} | 21,029 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = o + 16; w = k + 4; i = b + 2; g = 14; t = v + 4; c = g + 10; b = g + 4; v = c + 13; r = t + 5; p = a + 18; k = r + 5; a = m + 11; o = i + 3. Given that g = 14, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = r + 5 to w, which gives w = r + 9.\n2. Substitute r = t + 5 to w, which gives w = t + 14.\n3. Substitute t = v + 4 to w, which gives w = v + 18.\n4. Substitute v = c + 13 to w, which gives w = c + 31.\n5. Substitute c = g + 10 to w, which gives w = g + 41.\n6. Substitute g = 14 to w, which gives w = 55.\n\nThus, the final answer is w = \\boxed{55}.",
"index": 21029,
"question": "Suppose a collection of variables is related by the following definitions: m = o + 16; w = k + 4; i = b + 2; g = 14; t = v + 4; c = g + 10; b = g + 4; v = c + 13; r = t + 5; p = a + 18; k = r + 5; a = m + 11; o = i + 3. Given that g = 14, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"j": "o + 5", "w": "j + 14", "d": "w + 5", "p": "d + 1", "q": "p + 19", "k": "q + 8", "a": "o + 2", "r": "a + 9", "s": "r + 11", "y": "s + 4", "l": "y + 3", "x": "l + 9", "o": 1}, "premises": {"o": 1}, "target": "k"}, "answer": {"steps": [["q", "p + 19", "p + 27"], ["p", "d + 1", "d + 28"], ["d", "w + 5", "w + 33"], ["w", "j + 14", "j + 47"], ["j", "o + 5", "o + 52"], ["o", 1, "53"]], "target_var_name": "k", "target_value": 53, "value_dict": {"o": 1}, "is_reverse": true}} | 21,030 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = j + 14; x = l + 9; o = 1; r = a + 9; l = y + 3; k = q + 8; d = w + 5; s = r + 11; p = d + 1; q = p + 19; a = o + 2; j = o + 5; y = s + 4. Given that o = 1, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = p + 19 to k, which gives k = p + 27.\n2. Substitute p = d + 1 to k, which gives k = d + 28.\n3. Substitute d = w + 5 to k, which gives k = w + 33.\n4. Substitute w = j + 14 to k, which gives k = j + 47.\n5. Substitute j = o + 5 to k, which gives k = o + 52.\n6. Substitute o = 1 to k, which gives k = 53.\n\nThus, the final answer is k = \\boxed{53}.",
"index": 21030,
"question": "Suppose a collection of variables is related by the following definitions: w = j + 14; x = l + 9; o = 1; r = a + 9; l = y + 3; k = q + 8; d = w + 5; s = r + 11; p = d + 1; q = p + 19; a = o + 2; j = o + 5; y = s + 4. Given that o = 1, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"g": "w + 17", "k": "g + 6", "c": "k + 10", "m": "c + 11", "s": "m + 3", "t": "s + 14", "y": "w + 14", "v": "y + 15", "e": "v + 13", "z": "e + 7", "x": "z + 19", "r": "x + 16", "w": 11}, "premises": {"w": 11}, "target": "t"}, "answer": {"steps": [["s", "m + 3", "m + 17"], ["m", "c + 11", "c + 28"], ["c", "k + 10", "k + 38"], ["k", "g + 6", "g + 44"], ["g", "w + 17", "w + 61"], ["w", 11, "72"]], "target_var_name": "t", "target_value": 72, "value_dict": {"w": 11}, "is_reverse": true}} | 21,031 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = z + 19; g = w + 17; z = e + 7; v = y + 15; r = x + 16; c = k + 10; k = g + 6; m = c + 11; w = 11; s = m + 3; e = v + 13; t = s + 14; y = w + 14. Given that w = 11, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = m + 3 to t, which gives t = m + 17.\n2. Substitute m = c + 11 to t, which gives t = c + 28.\n3. Substitute c = k + 10 to t, which gives t = k + 38.\n4. Substitute k = g + 6 to t, which gives t = g + 44.\n5. Substitute g = w + 17 to t, which gives t = w + 61.\n6. Substitute w = 11 to t, which gives t = 72.\n\nThus, the final answer is t = \\boxed{72}.",
"index": 21031,
"question": "Suppose a collection of variables is related by the following definitions: x = z + 19; g = w + 17; z = e + 7; v = y + 15; r = x + 16; c = k + 10; k = g + 6; m = c + 11; w = 11; s = m + 3; e = v + 13; t = s + 14; y = w + 14. Given that w = 11, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"k": "z + 19", "g": "k + 13", "a": "g + 15", "u": "a + 11", "e": "u + 2", "j": "e + 6", "s": "z + 14", "t": "s + 18", "x": "t + 5", "q": "x + 12", "i": "q + 18", "h": "i + 7", "z": 13}, "premises": {"z": 13}, "target": "j"}, "answer": {"steps": [["e", "u + 2", "u + 8"], ["u", "a + 11", "a + 19"], ["a", "g + 15", "g + 34"], ["g", "k + 13", "k + 47"], ["k", "z + 19", "z + 66"], ["z", 13, "79"]], "target_var_name": "j", "target_value": 79, "value_dict": {"z": 13}, "is_reverse": true}} | 21,032 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = z + 19; z = 13; x = t + 5; s = z + 14; u = a + 11; i = q + 18; e = u + 2; t = s + 18; q = x + 12; j = e + 6; a = g + 15; h = i + 7; g = k + 13. If z = 13, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = u + 2 to j, which gives j = u + 8.\n2. Substitute u = a + 11 to j, which gives j = a + 19.\n3. Substitute a = g + 15 to j, which gives j = g + 34.\n4. Substitute g = k + 13 to j, which gives j = k + 47.\n5. Substitute k = z + 19 to j, which gives j = z + 66.\n6. Substitute z = 13 to j, which gives j = 79.\n\nThus, the final answer is j = \\boxed{79}.",
"index": 21032,
"question": "Consider a system of variables where each variable is defined as follows: k = z + 19; z = 13; x = t + 5; s = z + 14; u = a + 11; i = q + 18; e = u + 2; t = s + 18; q = x + 12; j = e + 6; a = g + 15; h = i + 7; g = k + 13. If z = 13, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"w": "l + 9", "y": "w + 14", "g": "y + 13", "p": "g + 3", "d": "p + 8", "c": "d + 5", "v": "l + 18", "n": "v + 16", "z": "n + 11", "j": "z + 11", "x": "j + 16", "s": "x + 9", "l": 20}, "premises": {"l": 20}, "target": "c"}, "answer": {"steps": [["d", "p + 8", "p + 13"], ["p", "g + 3", "g + 16"], ["g", "y + 13", "y + 29"], ["y", "w + 14", "w + 43"], ["w", "l + 9", "l + 52"], ["l", 20, "72"]], "target_var_name": "c", "target_value": 72, "value_dict": {"l": 20}, "is_reverse": true}} | 21,033 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = l + 9; d = p + 8; y = w + 14; s = x + 9; z = n + 11; c = d + 5; v = l + 18; x = j + 16; n = v + 16; j = z + 11; g = y + 13; p = g + 3; l = 20. Given that l = 20, find 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 d = p + 8 to c, which gives c = p + 13.\n2. Substitute p = g + 3 to c, which gives c = g + 16.\n3. Substitute g = y + 13 to c, which gives c = y + 29.\n4. Substitute y = w + 14 to c, which gives c = w + 43.\n5. Substitute w = l + 9 to c, which gives c = l + 52.\n6. Substitute l = 20 to c, which gives c = 72.\n\nThus, the final answer is c = \\boxed{72}.",
"index": 21033,
"question": "Suppose a collection of variables is related by the following definitions: w = l + 9; d = p + 8; y = w + 14; s = x + 9; z = n + 11; c = d + 5; v = l + 18; x = j + 16; n = v + 16; j = z + 11; g = y + 13; p = g + 3; l = 20. Given that l = 20, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"q": "n + 7", "y": "q + 16", "d": "y + 6", "r": "d + 19", "t": "r + 5", "e": "t + 15", "f": "n + 7", "l": "f + 18", "j": "l + 11", "z": "j + 16", "m": "z + 18", "a": "m + 13", "n": 8}, "premises": {"n": 8}, "target": "e"}, "answer": {"steps": [["t", "r + 5", "r + 20"], ["r", "d + 19", "d + 39"], ["d", "y + 6", "y + 45"], ["y", "q + 16", "q + 61"], ["q", "n + 7", "n + 68"], ["n", 8, "76"]], "target_var_name": "e", "target_value": 76, "value_dict": {"n": 8}, "is_reverse": true}} | 21,034 | 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 = n + 7; e = t + 15; m = z + 18; a = m + 13; n = 8; y = q + 16; r = d + 19; z = j + 16; t = r + 5; l = f + 18; j = l + 11; d = y + 6; q = n + 7. If n = 8, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = r + 5 to e, which gives e = r + 20.\n2. Substitute r = d + 19 to e, which gives e = d + 39.\n3. Substitute d = y + 6 to e, which gives e = y + 45.\n4. Substitute y = q + 16 to e, which gives e = q + 61.\n5. Substitute q = n + 7 to e, which gives e = n + 68.\n6. Substitute n = 8 to e, which gives e = 76.\n\nThus, the final answer is e = \\boxed{76}.",
"index": 21034,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = n + 7; e = t + 15; m = z + 18; a = m + 13; n = 8; y = q + 16; r = d + 19; z = j + 16; t = r + 5; l = f + 18; j = l + 11; d = y + 6; q = n + 7. If n = 8, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"f": "d + 6", "c": "f + 6", "q": "c + 9", "r": "q + 8", "p": "r + 10", "s": "p + 15", "e": "d + 14", "h": "e + 9", "z": "h + 10", "t": "z + 14", "i": "t + 10", "l": "i + 11", "d": 16}, "premises": {"d": 16}, "target": "s"}, "answer": {"steps": [["p", "r + 10", "r + 25"], ["r", "q + 8", "q + 33"], ["q", "c + 9", "c + 42"], ["c", "f + 6", "f + 48"], ["f", "d + 6", "d + 54"], ["d", 16, "70"]], "target_var_name": "s", "target_value": 70, "value_dict": {"d": 16}, "is_reverse": true}} | 21,035 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = e + 9; z = h + 10; l = i + 11; r = q + 8; q = c + 9; d = 16; t = z + 14; e = d + 14; p = r + 10; i = t + 10; f = d + 6; c = f + 6; s = p + 15. If d = 16, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = r + 10 to s, which gives s = r + 25.\n2. Substitute r = q + 8 to s, which gives s = q + 33.\n3. Substitute q = c + 9 to s, which gives s = c + 42.\n4. Substitute c = f + 6 to s, which gives s = f + 48.\n5. Substitute f = d + 6 to s, which gives s = d + 54.\n6. Substitute d = 16 to s, which gives s = 70.\n\nThus, the final answer is s = \\boxed{70}.",
"index": 21035,
"question": "Consider a system of variables where each variable is defined as follows: h = e + 9; z = h + 10; l = i + 11; r = q + 8; q = c + 9; d = 16; t = z + 14; e = d + 14; p = r + 10; i = t + 10; f = d + 6; c = f + 6; s = p + 15. If d = 16, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"t": "p + 18", "e": "t + 1", "l": "e + 12", "z": "l + 3", "j": "z + 9", "x": "j + 8", "h": "p + 7", "b": "h + 3", "g": "b + 4", "w": "g + 13", "d": "w + 8", "r": "d + 5", "p": 2}, "premises": {"p": 2}, "target": "x"}, "answer": {"steps": [["j", "z + 9", "z + 17"], ["z", "l + 3", "l + 20"], ["l", "e + 12", "e + 32"], ["e", "t + 1", "t + 33"], ["t", "p + 18", "p + 51"], ["p", 2, "53"]], "target_var_name": "x", "target_value": 53, "value_dict": {"p": 2}, "is_reverse": true}} | 21,036 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = h + 3; h = p + 7; j = z + 9; r = d + 5; z = l + 3; t = p + 18; w = g + 13; e = t + 1; x = j + 8; p = 2; g = b + 4; l = e + 12; d = w + 8. If p = 2, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = z + 9 to x, which gives x = z + 17.\n2. Substitute z = l + 3 to x, which gives x = l + 20.\n3. Substitute l = e + 12 to x, which gives x = e + 32.\n4. Substitute e = t + 1 to x, which gives x = t + 33.\n5. Substitute t = p + 18 to x, which gives x = p + 51.\n6. Substitute p = 2 to x, which gives x = 53.\n\nThus, the final answer is x = \\boxed{53}.",
"index": 21036,
"question": "Consider a system of variables where each variable is defined as follows: b = h + 3; h = p + 7; j = z + 9; r = d + 5; z = l + 3; t = p + 18; w = g + 13; e = t + 1; x = j + 8; p = 2; g = b + 4; l = e + 12; d = w + 8. If p = 2, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"l": "m + 4", "n": "l + 3", "v": "n + 16", "j": "v + 4", "y": "j + 19", "a": "y + 7", "b": "m + 3", "h": "b + 18", "g": "h + 16", "e": "g + 2", "k": "e + 6", "x": "k + 19", "m": 10}, "premises": {"m": 10}, "target": "a"}, "answer": {"steps": [["y", "j + 19", "j + 26"], ["j", "v + 4", "v + 30"], ["v", "n + 16", "n + 46"], ["n", "l + 3", "l + 49"], ["l", "m + 4", "m + 53"], ["m", 10, "63"]], "target_var_name": "a", "target_value": 63, "value_dict": {"m": 10}, "is_reverse": true}} | 21,037 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = l + 3; e = g + 2; b = m + 3; m = 10; x = k + 19; l = m + 4; y = j + 19; a = y + 7; v = n + 16; k = e + 6; g = h + 16; h = b + 18; j = v + 4. If m = 10, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = j + 19 to a, which gives a = j + 26.\n2. Substitute j = v + 4 to a, which gives a = v + 30.\n3. Substitute v = n + 16 to a, which gives a = n + 46.\n4. Substitute n = l + 3 to a, which gives a = l + 49.\n5. Substitute l = m + 4 to a, which gives a = m + 53.\n6. Substitute m = 10 to a, which gives a = 63.\n\nThus, the final answer is a = \\boxed{63}.",
"index": 21037,
"question": "Consider a system of variables where each variable is defined as follows: n = l + 3; e = g + 2; b = m + 3; m = 10; x = k + 19; l = m + 4; y = j + 19; a = y + 7; v = n + 16; k = e + 6; g = h + 16; h = b + 18; j = v + 4. If m = 10, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"i": "s + 6", "n": "i + 1", "o": "n + 2", "h": "o + 1", "a": "h + 3", "u": "a + 2", "r": "s + 1", "f": "r + 13", "c": "f + 5", "y": "c + 18", "e": "y + 2", "j": "e + 10", "s": 1}, "premises": {"s": 1}, "target": "u"}, "answer": {"steps": [["a", "h + 3", "h + 5"], ["h", "o + 1", "o + 6"], ["o", "n + 2", "n + 8"], ["n", "i + 1", "i + 9"], ["i", "s + 6", "s + 15"], ["s", 1, "16"]], "target_var_name": "u", "target_value": 16, "value_dict": {"s": 1}, "is_reverse": true}} | 21,038 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = c + 18; h = o + 1; n = i + 1; a = h + 3; o = n + 2; i = s + 6; c = f + 5; u = a + 2; e = y + 2; f = r + 13; s = 1; r = s + 1; j = e + 10. If s = 1, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 16,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = h + 3 to u, which gives u = h + 5.\n2. Substitute h = o + 1 to u, which gives u = o + 6.\n3. Substitute o = n + 2 to u, which gives u = n + 8.\n4. Substitute n = i + 1 to u, which gives u = i + 9.\n5. Substitute i = s + 6 to u, which gives u = s + 15.\n6. Substitute s = 1 to u, which gives u = 16.\n\nThus, the final answer is u = \\boxed{16}.",
"index": 21038,
"question": "Consider a system of variables where each variable is defined as follows: y = c + 18; h = o + 1; n = i + 1; a = h + 3; o = n + 2; i = s + 6; c = f + 5; u = a + 2; e = y + 2; f = r + 13; s = 1; r = s + 1; j = e + 10. If s = 1, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"a": "h + 2", "t": "a + 12", "k": "t + 13", "z": "k + 6", "r": "z + 20", "g": "r + 6", "i": "h + 1", "b": "i + 12", "u": "b + 4", "d": "u + 10", "c": "d + 19", "x": "c + 17", "h": 13}, "premises": {"h": 13}, "target": "g"}, "answer": {"steps": [["r", "z + 20", "z + 26"], ["z", "k + 6", "k + 32"], ["k", "t + 13", "t + 45"], ["t", "a + 12", "a + 57"], ["a", "h + 2", "h + 59"], ["h", 13, "72"]], "target_var_name": "g", "target_value": 72, "value_dict": {"h": 13}, "is_reverse": true}} | 21,039 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = k + 6; h = 13; b = i + 12; r = z + 20; k = t + 13; c = d + 19; d = u + 10; x = c + 17; u = b + 4; t = a + 12; g = r + 6; i = h + 1; a = h + 2. If h = 13, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = z + 20 to g, which gives g = z + 26.\n2. Substitute z = k + 6 to g, which gives g = k + 32.\n3. Substitute k = t + 13 to g, which gives g = t + 45.\n4. Substitute t = a + 12 to g, which gives g = a + 57.\n5. Substitute a = h + 2 to g, which gives g = h + 59.\n6. Substitute h = 13 to g, which gives g = 72.\n\nThus, the final answer is g = \\boxed{72}.",
"index": 21039,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = k + 6; h = 13; b = i + 12; r = z + 20; k = t + 13; c = d + 19; d = u + 10; x = c + 17; u = b + 4; t = a + 12; g = r + 6; i = h + 1; a = h + 2. If h = 13, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"k": "v + 10", "i": "k + 8", "j": "i + 14", "y": "j + 16", "r": "y + 15", "z": "r + 19", "g": "v + 11", "u": "g + 4", "b": "u + 9", "x": "b + 3", "c": "x + 8", "w": "c + 6", "v": 15}, "premises": {"v": 15}, "target": "z"}, "answer": {"steps": [["r", "y + 15", "y + 34"], ["y", "j + 16", "j + 50"], ["j", "i + 14", "i + 64"], ["i", "k + 8", "k + 72"], ["k", "v + 10", "v + 82"], ["v", 15, "97"]], "target_var_name": "z", "target_value": 97, "value_dict": {"v": 15}, "is_reverse": true}} | 21,040 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = 15; i = k + 8; x = b + 3; r = y + 15; b = u + 9; g = v + 11; w = c + 6; k = v + 10; y = j + 16; j = i + 14; u = g + 4; z = r + 19; c = x + 8. Given that v = 15, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = y + 15 to z, which gives z = y + 34.\n2. Substitute y = j + 16 to z, which gives z = j + 50.\n3. Substitute j = i + 14 to z, which gives z = i + 64.\n4. Substitute i = k + 8 to z, which gives z = k + 72.\n5. Substitute k = v + 10 to z, which gives z = v + 82.\n6. Substitute v = 15 to z, which gives z = 97.\n\nThus, the final answer is z = \\boxed{97}.",
"index": 21040,
"question": "Suppose a collection of variables is related by the following definitions: v = 15; i = k + 8; x = b + 3; r = y + 15; b = u + 9; g = v + 11; w = c + 6; k = v + 10; y = j + 16; j = i + 14; u = g + 4; z = r + 19; c = x + 8. Given that v = 15, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"v": "x + 2", "f": "v + 8", "o": "f + 3", "e": "o + 14", "h": "e + 15", "g": "h + 6", "m": "x + 10", "u": "m + 3", "y": "u + 2", "w": "y + 9", "j": "w + 4", "t": "j + 14", "x": 4}, "premises": {"x": 4}, "target": "g"}, "answer": {"steps": [["h", "e + 15", "e + 21"], ["e", "o + 14", "o + 35"], ["o", "f + 3", "f + 38"], ["f", "v + 8", "v + 46"], ["v", "x + 2", "x + 48"], ["x", 4, "52"]], "target_var_name": "g", "target_value": 52, "value_dict": {"x": 4}, "is_reverse": true}} | 21,041 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = o + 14; w = y + 9; t = j + 14; h = e + 15; m = x + 10; f = v + 8; y = u + 2; x = 4; u = m + 3; o = f + 3; v = x + 2; g = h + 6; j = w + 4. Given that x = 4, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = e + 15 to g, which gives g = e + 21.\n2. Substitute e = o + 14 to g, which gives g = o + 35.\n3. Substitute o = f + 3 to g, which gives g = f + 38.\n4. Substitute f = v + 8 to g, which gives g = v + 46.\n5. Substitute v = x + 2 to g, which gives g = x + 48.\n6. Substitute x = 4 to g, which gives g = 52.\n\nThus, the final answer is g = \\boxed{52}.",
"index": 21041,
"question": "Suppose a collection of variables is related by the following definitions: e = o + 14; w = y + 9; t = j + 14; h = e + 15; m = x + 10; f = v + 8; y = u + 2; x = 4; u = m + 3; o = f + 3; v = x + 2; g = h + 6; j = w + 4. Given that x = 4, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"w": "p + 5", "h": "w + 2", "j": "h + 4", "o": "j + 7", "y": "o + 19", "k": "y + 9", "l": "p + 9", "g": "l + 4", "f": "g + 9", "e": "f + 5", "b": "e + 15", "u": "b + 15", "p": 12}, "premises": {"p": 12}, "target": "k"}, "answer": {"steps": [["y", "o + 19", "o + 28"], ["o", "j + 7", "j + 35"], ["j", "h + 4", "h + 39"], ["h", "w + 2", "w + 41"], ["w", "p + 5", "p + 46"], ["p", 12, "58"]], "target_var_name": "k", "target_value": 58, "value_dict": {"p": 12}, "is_reverse": true}} | 21,042 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = f + 5; l = p + 9; b = e + 15; u = b + 15; p = 12; o = j + 7; f = g + 9; g = l + 4; k = y + 9; h = w + 2; y = o + 19; w = p + 5; j = h + 4. If p = 12, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = o + 19 to k, which gives k = o + 28.\n2. Substitute o = j + 7 to k, which gives k = j + 35.\n3. Substitute j = h + 4 to k, which gives k = h + 39.\n4. Substitute h = w + 2 to k, which gives k = w + 41.\n5. Substitute w = p + 5 to k, which gives k = p + 46.\n6. Substitute p = 12 to k, which gives k = 58.\n\nThus, the final answer is k = \\boxed{58}.",
"index": 21042,
"question": "Consider a system of variables where each variable is defined as follows: e = f + 5; l = p + 9; b = e + 15; u = b + 15; p = 12; o = j + 7; f = g + 9; g = l + 4; k = y + 9; h = w + 2; y = o + 19; w = p + 5; j = h + 4. If p = 12, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"k": "v + 13", "w": "k + 4", "i": "w + 15", "g": "i + 16", "c": "g + 12", "b": "c + 1", "m": "v + 3", "e": "m + 7", "y": "e + 8", "x": "y + 1", "n": "x + 4", "r": "n + 17", "v": 3}, "premises": {"v": 3}, "target": "b"}, "answer": {"steps": [["c", "g + 12", "g + 13"], ["g", "i + 16", "i + 29"], ["i", "w + 15", "w + 44"], ["w", "k + 4", "k + 48"], ["k", "v + 13", "v + 61"], ["v", 3, "64"]], "target_var_name": "b", "target_value": 64, "value_dict": {"v": 3}, "is_reverse": true}} | 21,043 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = v + 3; y = e + 8; v = 3; c = g + 12; e = m + 7; k = v + 13; x = y + 1; w = k + 4; i = w + 15; g = i + 16; r = n + 17; n = x + 4; b = c + 1. If v = 3, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = g + 12 to b, which gives b = g + 13.\n2. Substitute g = i + 16 to b, which gives b = i + 29.\n3. Substitute i = w + 15 to b, which gives b = w + 44.\n4. Substitute w = k + 4 to b, which gives b = k + 48.\n5. Substitute k = v + 13 to b, which gives b = v + 61.\n6. Substitute v = 3 to b, which gives b = 64.\n\nThus, the final answer is b = \\boxed{64}.",
"index": 21043,
"question": "Consider a system of variables where each variable is defined as follows: m = v + 3; y = e + 8; v = 3; c = g + 12; e = m + 7; k = v + 13; x = y + 1; w = k + 4; i = w + 15; g = i + 16; r = n + 17; n = x + 4; b = c + 1. If v = 3, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"g": "k + 13", "s": "g + 19", "r": "s + 20", "o": "r + 18", "i": "o + 2", "z": "i + 15", "q": "k + 11", "a": "q + 10", "n": "a + 15", "l": "n + 13", "m": "l + 1", "d": "m + 4", "k": 17}, "premises": {"k": 17}, "target": "z"}, "answer": {"steps": [["i", "o + 2", "o + 17"], ["o", "r + 18", "r + 35"], ["r", "s + 20", "s + 55"], ["s", "g + 19", "g + 74"], ["g", "k + 13", "k + 87"], ["k", 17, "104"]], "target_var_name": "z", "target_value": 104, "value_dict": {"k": 17}, "is_reverse": true}} | 21,044 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = r + 18; r = s + 20; m = l + 1; z = i + 15; n = a + 15; g = k + 13; a = q + 10; i = o + 2; k = 17; d = m + 4; l = n + 13; q = k + 11; s = g + 19. Given that k = 17, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 104,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = o + 2 to z, which gives z = o + 17.\n2. Substitute o = r + 18 to z, which gives z = r + 35.\n3. Substitute r = s + 20 to z, which gives z = s + 55.\n4. Substitute s = g + 19 to z, which gives z = g + 74.\n5. Substitute g = k + 13 to z, which gives z = k + 87.\n6. Substitute k = 17 to z, which gives z = 104.\n\nThus, the final answer is z = \\boxed{104}.",
"index": 21044,
"question": "Suppose a collection of variables is related by the following definitions: o = r + 18; r = s + 20; m = l + 1; z = i + 15; n = a + 15; g = k + 13; a = q + 10; i = o + 2; k = 17; d = m + 4; l = n + 13; q = k + 11; s = g + 19. Given that k = 17, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"a": "g + 11", "j": "a + 17", "o": "j + 7", "v": "o + 4", "h": "v + 15", "p": "h + 3", "l": "g + 10", "c": "l + 9", "w": "c + 4", "k": "w + 9", "q": "k + 3", "n": "q + 10", "g": 13}, "premises": {"g": 13}, "target": "p"}, "answer": {"steps": [["h", "v + 15", "v + 18"], ["v", "o + 4", "o + 22"], ["o", "j + 7", "j + 29"], ["j", "a + 17", "a + 46"], ["a", "g + 11", "g + 57"], ["g", 13, "70"]], "target_var_name": "p", "target_value": 70, "value_dict": {"g": 13}, "is_reverse": true}} | 21,045 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = j + 7; w = c + 4; q = k + 3; n = q + 10; j = a + 17; c = l + 9; g = 13; v = o + 4; a = g + 11; k = w + 9; p = h + 3; h = v + 15; l = g + 10. If g = 13, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = v + 15 to p, which gives p = v + 18.\n2. Substitute v = o + 4 to p, which gives p = o + 22.\n3. Substitute o = j + 7 to p, which gives p = j + 29.\n4. Substitute j = a + 17 to p, which gives p = a + 46.\n5. Substitute a = g + 11 to p, which gives p = g + 57.\n6. Substitute g = 13 to p, which gives p = 70.\n\nThus, the final answer is p = \\boxed{70}.",
"index": 21045,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = j + 7; w = c + 4; q = k + 3; n = q + 10; j = a + 17; c = l + 9; g = 13; v = o + 4; a = g + 11; k = w + 9; p = h + 3; h = v + 15; l = g + 10. If g = 13, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"u": "d + 3", "w": "u + 14", "q": "w + 11", "i": "q + 3", "e": "i + 13", "o": "e + 3", "z": "d + 9", "p": "z + 8", "k": "p + 10", "f": "k + 11", "x": "f + 4", "b": "x + 12", "d": 5}, "premises": {"d": 5}, "target": "o"}, "answer": {"steps": [["e", "i + 13", "i + 16"], ["i", "q + 3", "q + 19"], ["q", "w + 11", "w + 30"], ["w", "u + 14", "u + 44"], ["u", "d + 3", "d + 47"], ["d", 5, "52"]], "target_var_name": "o", "target_value": 52, "value_dict": {"d": 5}, "is_reverse": true}} | 21,046 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = k + 11; d = 5; e = i + 13; z = d + 9; u = d + 3; q = w + 11; b = x + 12; o = e + 3; x = f + 4; k = p + 10; i = q + 3; w = u + 14; p = z + 8. If d = 5, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = i + 13 to o, which gives o = i + 16.\n2. Substitute i = q + 3 to o, which gives o = q + 19.\n3. Substitute q = w + 11 to o, which gives o = w + 30.\n4. Substitute w = u + 14 to o, which gives o = u + 44.\n5. Substitute u = d + 3 to o, which gives o = d + 47.\n6. Substitute d = 5 to o, which gives o = 52.\n\nThus, the final answer is o = \\boxed{52}.",
"index": 21046,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = k + 11; d = 5; e = i + 13; z = d + 9; u = d + 3; q = w + 11; b = x + 12; o = e + 3; x = f + 4; k = p + 10; i = q + 3; w = u + 14; p = z + 8. If d = 5, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"y": "z + 18", "j": "y + 6", "u": "j + 12", "b": "u + 19", "k": "b + 8", "s": "k + 19", "v": "z + 6", "a": "v + 1", "r": "a + 11", "g": "r + 12", "o": "g + 13", "n": "o + 7", "z": 13}, "premises": {"z": 13}, "target": "s"}, "answer": {"steps": [["k", "b + 8", "b + 27"], ["b", "u + 19", "u + 46"], ["u", "j + 12", "j + 58"], ["j", "y + 6", "y + 64"], ["y", "z + 18", "z + 82"], ["z", 13, "95"]], "target_var_name": "s", "target_value": 95, "value_dict": {"z": 13}, "is_reverse": true}} | 21,047 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = y + 6; s = k + 19; b = u + 19; n = o + 7; r = a + 11; k = b + 8; g = r + 12; a = v + 1; v = z + 6; o = g + 13; y = z + 18; u = j + 12; z = 13. If z = 13, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = b + 8 to s, which gives s = b + 27.\n2. Substitute b = u + 19 to s, which gives s = u + 46.\n3. Substitute u = j + 12 to s, which gives s = j + 58.\n4. Substitute j = y + 6 to s, which gives s = y + 64.\n5. Substitute y = z + 18 to s, which gives s = z + 82.\n6. Substitute z = 13 to s, which gives s = 95.\n\nThus, the final answer is s = \\boxed{95}.",
"index": 21047,
"question": "Consider a system of variables where each variable is defined as follows: j = y + 6; s = k + 19; b = u + 19; n = o + 7; r = a + 11; k = b + 8; g = r + 12; a = v + 1; v = z + 6; o = g + 13; y = z + 18; u = j + 12; z = 13. If z = 13, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"t": "o + 15", "q": "t + 5", "b": "q + 4", "e": "b + 16", "a": "e + 20", "m": "a + 3", "u": "o + 1", "v": "u + 13", "x": "v + 19", "i": "x + 6", "h": "i + 16", "j": "h + 15", "o": 14}, "premises": {"o": 14}, "target": "m"}, "answer": {"steps": [["a", "e + 20", "e + 23"], ["e", "b + 16", "b + 39"], ["b", "q + 4", "q + 43"], ["q", "t + 5", "t + 48"], ["t", "o + 15", "o + 63"], ["o", 14, "77"]], "target_var_name": "m", "target_value": 77, "value_dict": {"o": 14}, "is_reverse": true}} | 21,048 | 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 = o + 15; i = x + 6; m = a + 3; o = 14; a = e + 20; j = h + 15; u = o + 1; v = u + 13; h = i + 16; e = b + 16; x = v + 19; b = q + 4; q = t + 5. If o = 14, 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 = e + 20 to m, which gives m = e + 23.\n2. Substitute e = b + 16 to m, which gives m = b + 39.\n3. Substitute b = q + 4 to m, which gives m = q + 43.\n4. Substitute q = t + 5 to m, which gives m = t + 48.\n5. Substitute t = o + 15 to m, which gives m = o + 63.\n6. Substitute o = 14 to m, which gives m = 77.\n\nThus, the final answer is m = \\boxed{77}.",
"index": 21048,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = o + 15; i = x + 6; m = a + 3; o = 14; a = e + 20; j = h + 15; u = o + 1; v = u + 13; h = i + 16; e = b + 16; x = v + 19; b = q + 4; q = t + 5. If o = 14, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"g": "m + 11", "i": "g + 6", "z": "i + 12", "o": "z + 19", "t": "o + 1", "x": "t + 18", "j": "m + 5", "u": "j + 6", "r": "u + 6", "s": "r + 9", "e": "s + 5", "n": "e + 2", "m": 14}, "premises": {"m": 14}, "target": "x"}, "answer": {"steps": [["t", "o + 1", "o + 19"], ["o", "z + 19", "z + 38"], ["z", "i + 12", "i + 50"], ["i", "g + 6", "g + 56"], ["g", "m + 11", "m + 67"], ["m", 14, "81"]], "target_var_name": "x", "target_value": 81, "value_dict": {"m": 14}, "is_reverse": true}} | 21,049 | 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 = s + 5; o = z + 19; g = m + 11; i = g + 6; u = j + 6; m = 14; s = r + 9; x = t + 18; j = m + 5; n = e + 2; r = u + 6; t = o + 1; z = i + 12. If m = 14, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = o + 1 to x, which gives x = o + 19.\n2. Substitute o = z + 19 to x, which gives x = z + 38.\n3. Substitute z = i + 12 to x, which gives x = i + 50.\n4. Substitute i = g + 6 to x, which gives x = g + 56.\n5. Substitute g = m + 11 to x, which gives x = m + 67.\n6. Substitute m = 14 to x, which gives x = 81.\n\nThus, the final answer is x = \\boxed{81}.",
"index": 21049,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = s + 5; o = z + 19; g = m + 11; i = g + 6; u = j + 6; m = 14; s = r + 9; x = t + 18; j = m + 5; n = e + 2; r = u + 6; t = o + 1; z = i + 12. If m = 14, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"h": "v + 12", "t": "h + 18", "z": "t + 19", "d": "z + 1", "f": "d + 8", "e": "f + 15", "l": "v + 13", "y": "l + 5", "s": "y + 17", "u": "s + 8", "k": "u + 19", "x": "k + 10", "v": 16}, "premises": {"v": 16}, "target": "e"}, "answer": {"steps": [["f", "d + 8", "d + 23"], ["d", "z + 1", "z + 24"], ["z", "t + 19", "t + 43"], ["t", "h + 18", "h + 61"], ["h", "v + 12", "v + 73"], ["v", 16, "89"]], "target_var_name": "e", "target_value": 89, "value_dict": {"v": 16}, "is_reverse": true}} | 21,050 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = y + 17; h = v + 12; z = t + 19; d = z + 1; e = f + 15; v = 16; k = u + 19; x = k + 10; l = v + 13; f = d + 8; u = s + 8; y = l + 5; t = h + 18. If v = 16, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = d + 8 to e, which gives e = d + 23.\n2. Substitute d = z + 1 to e, which gives e = z + 24.\n3. Substitute z = t + 19 to e, which gives e = t + 43.\n4. Substitute t = h + 18 to e, which gives e = h + 61.\n5. Substitute h = v + 12 to e, which gives e = v + 73.\n6. Substitute v = 16 to e, which gives e = 89.\n\nThus, the final answer is e = \\boxed{89}.",
"index": 21050,
"question": "Consider a system of variables where each variable is defined as follows: s = y + 17; h = v + 12; z = t + 19; d = z + 1; e = f + 15; v = 16; k = u + 19; x = k + 10; l = v + 13; f = d + 8; u = s + 8; y = l + 5; t = h + 18. If v = 16, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"n": "j + 11", "y": "n + 5", "z": "y + 6", "o": "z + 15", "e": "o + 13", "k": "e + 3", "d": "j + 9", "a": "d + 20", "p": "a + 10", "q": "p + 13", "i": "q + 10", "l": "i + 12", "j": 18}, "premises": {"j": 18}, "target": "k"}, "answer": {"steps": [["e", "o + 13", "o + 16"], ["o", "z + 15", "z + 31"], ["z", "y + 6", "y + 37"], ["y", "n + 5", "n + 42"], ["n", "j + 11", "j + 53"], ["j", 18, "71"]], "target_var_name": "k", "target_value": 71, "value_dict": {"j": 18}, "is_reverse": true}} | 21,051 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = d + 20; o = z + 15; z = y + 6; d = j + 9; l = i + 12; e = o + 13; j = 18; y = n + 5; n = j + 11; k = e + 3; q = p + 13; p = a + 10; i = q + 10. If j = 18, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = o + 13 to k, which gives k = o + 16.\n2. Substitute o = z + 15 to k, which gives k = z + 31.\n3. Substitute z = y + 6 to k, which gives k = y + 37.\n4. Substitute y = n + 5 to k, which gives k = n + 42.\n5. Substitute n = j + 11 to k, which gives k = j + 53.\n6. Substitute j = 18 to k, which gives k = 71.\n\nThus, the final answer is k = \\boxed{71}.",
"index": 21051,
"question": "Consider a system of variables where each variable is defined as follows: a = d + 20; o = z + 15; z = y + 6; d = j + 9; l = i + 12; e = o + 13; j = 18; y = n + 5; n = j + 11; k = e + 3; q = p + 13; p = a + 10; i = q + 10. If j = 18, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"g": "e + 15", "o": "g + 4", "h": "o + 5", "s": "h + 7", "n": "s + 9", "u": "n + 16", "v": "e + 16", "k": "v + 14", "q": "k + 16", "m": "q + 12", "t": "m + 4", "x": "t + 14", "e": 19}, "premises": {"e": 19}, "target": "u"}, "answer": {"steps": [["n", "s + 9", "s + 25"], ["s", "h + 7", "h + 32"], ["h", "o + 5", "o + 37"], ["o", "g + 4", "g + 41"], ["g", "e + 15", "e + 56"], ["e", 19, "75"]], "target_var_name": "u", "target_value": 75, "value_dict": {"e": 19}, "is_reverse": true}} | 21,052 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = e + 15; v = e + 16; q = k + 16; x = t + 14; k = v + 14; t = m + 4; o = g + 4; s = h + 7; u = n + 16; m = q + 12; h = o + 5; n = s + 9; e = 19. If e = 19, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = s + 9 to u, which gives u = s + 25.\n2. Substitute s = h + 7 to u, which gives u = h + 32.\n3. Substitute h = o + 5 to u, which gives u = o + 37.\n4. Substitute o = g + 4 to u, which gives u = g + 41.\n5. Substitute g = e + 15 to u, which gives u = e + 56.\n6. Substitute e = 19 to u, which gives u = 75.\n\nThus, the final answer is u = \\boxed{75}.",
"index": 21052,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = e + 15; v = e + 16; q = k + 16; x = t + 14; k = v + 14; t = m + 4; o = g + 4; s = h + 7; u = n + 16; m = q + 12; h = o + 5; n = s + 9; e = 19. If e = 19, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"s": "q + 9", "u": "s + 9", "f": "u + 5", "g": "f + 9", "p": "g + 20", "r": "p + 19", "w": "q + 19", "i": "w + 1", "n": "i + 20", "a": "n + 4", "d": "a + 9", "x": "d + 4", "q": 4}, "premises": {"q": 4}, "target": "r"}, "answer": {"steps": [["p", "g + 20", "g + 39"], ["g", "f + 9", "f + 48"], ["f", "u + 5", "u + 53"], ["u", "s + 9", "s + 62"], ["s", "q + 9", "q + 71"], ["q", 4, "75"]], "target_var_name": "r", "target_value": 75, "value_dict": {"q": 4}, "is_reverse": true}} | 21,053 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = i + 20; a = n + 4; d = a + 9; x = d + 4; w = q + 19; q = 4; p = g + 20; r = p + 19; u = s + 9; i = w + 1; f = u + 5; g = f + 9; s = q + 9. If q = 4, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = g + 20 to r, which gives r = g + 39.\n2. Substitute g = f + 9 to r, which gives r = f + 48.\n3. Substitute f = u + 5 to r, which gives r = u + 53.\n4. Substitute u = s + 9 to r, which gives r = s + 62.\n5. Substitute s = q + 9 to r, which gives r = q + 71.\n6. Substitute q = 4 to r, which gives r = 75.\n\nThus, the final answer is r = \\boxed{75}.",
"index": 21053,
"question": "Consider a system of variables where each variable is defined as follows: n = i + 20; a = n + 4; d = a + 9; x = d + 4; w = q + 19; q = 4; p = g + 20; r = p + 19; u = s + 9; i = w + 1; f = u + 5; g = f + 9; s = q + 9. If q = 4, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"r": "v + 4", "x": "r + 8", "k": "x + 5", "a": "k + 13", "s": "a + 1", "m": "s + 3", "h": "v + 17", "w": "h + 20", "c": "w + 9", "u": "c + 13", "p": "u + 14", "e": "p + 10", "v": 20}, "premises": {"v": 20}, "target": "m"}, "answer": {"steps": [["s", "a + 1", "a + 4"], ["a", "k + 13", "k + 17"], ["k", "x + 5", "x + 22"], ["x", "r + 8", "r + 30"], ["r", "v + 4", "v + 34"], ["v", 20, "54"]], "target_var_name": "m", "target_value": 54, "value_dict": {"v": 20}, "is_reverse": true}} | 21,054 | 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 = k + 13; p = u + 14; s = a + 1; k = x + 5; x = r + 8; v = 20; e = p + 10; w = h + 20; m = s + 3; r = v + 4; c = w + 9; h = v + 17; u = c + 13. If v = 20, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = a + 1 to m, which gives m = a + 4.\n2. Substitute a = k + 13 to m, which gives m = k + 17.\n3. Substitute k = x + 5 to m, which gives m = x + 22.\n4. Substitute x = r + 8 to m, which gives m = r + 30.\n5. Substitute r = v + 4 to m, which gives m = v + 34.\n6. Substitute v = 20 to m, which gives m = 54.\n\nThus, the final answer is m = \\boxed{54}.",
"index": 21054,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = k + 13; p = u + 14; s = a + 1; k = x + 5; x = r + 8; v = 20; e = p + 10; w = h + 20; m = s + 3; r = v + 4; c = w + 9; h = v + 17; u = c + 13. If v = 20, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"c": "o + 20", "m": "c + 3", "u": "m + 14", "t": "u + 18", "f": "t + 17", "y": "f + 11", "g": "o + 16", "q": "g + 1", "l": "q + 3", "i": "l + 5", "a": "i + 16", "z": "a + 20", "o": 15}, "premises": {"o": 15}, "target": "y"}, "answer": {"steps": [["f", "t + 17", "t + 28"], ["t", "u + 18", "u + 46"], ["u", "m + 14", "m + 60"], ["m", "c + 3", "c + 63"], ["c", "o + 20", "o + 83"], ["o", 15, "98"]], "target_var_name": "y", "target_value": 98, "value_dict": {"o": 15}, "is_reverse": true}} | 21,055 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = i + 16; z = a + 20; c = o + 20; t = u + 18; q = g + 1; m = c + 3; l = q + 3; g = o + 16; i = l + 5; f = t + 17; y = f + 11; o = 15; u = m + 14. Given that o = 15, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = t + 17 to y, which gives y = t + 28.\n2. Substitute t = u + 18 to y, which gives y = u + 46.\n3. Substitute u = m + 14 to y, which gives y = m + 60.\n4. Substitute m = c + 3 to y, which gives y = c + 63.\n5. Substitute c = o + 20 to y, which gives y = o + 83.\n6. Substitute o = 15 to y, which gives y = 98.\n\nThus, the final answer is y = \\boxed{98}.",
"index": 21055,
"question": "Suppose a collection of variables is related by the following definitions: a = i + 16; z = a + 20; c = o + 20; t = u + 18; q = g + 1; m = c + 3; l = q + 3; g = o + 16; i = l + 5; f = t + 17; y = f + 11; o = 15; u = m + 14. Given that o = 15, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"w": "y + 19", "c": "w + 8", "t": "c + 17", "j": "t + 7", "q": "j + 13", "f": "q + 10", "u": "y + 20", "s": "u + 9", "i": "s + 9", "x": "i + 16", "g": "x + 20", "v": "g + 4", "y": 7}, "premises": {"y": 7}, "target": "f"}, "answer": {"steps": [["q", "j + 13", "j + 23"], ["j", "t + 7", "t + 30"], ["t", "c + 17", "c + 47"], ["c", "w + 8", "w + 55"], ["w", "y + 19", "y + 74"], ["y", 7, "81"]], "target_var_name": "f", "target_value": 81, "value_dict": {"y": 7}, "is_reverse": true}} | 21,056 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = x + 20; i = s + 9; u = y + 20; t = c + 17; c = w + 8; q = j + 13; f = q + 10; j = t + 7; x = i + 16; w = y + 19; y = 7; v = g + 4; s = u + 9. If y = 7, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = j + 13 to f, which gives f = j + 23.\n2. Substitute j = t + 7 to f, which gives f = t + 30.\n3. Substitute t = c + 17 to f, which gives f = c + 47.\n4. Substitute c = w + 8 to f, which gives f = w + 55.\n5. Substitute w = y + 19 to f, which gives f = y + 74.\n6. Substitute y = 7 to f, which gives f = 81.\n\nThus, the final answer is f = \\boxed{81}.",
"index": 21056,
"question": "Consider a system of variables where each variable is defined as follows: g = x + 20; i = s + 9; u = y + 20; t = c + 17; c = w + 8; q = j + 13; f = q + 10; j = t + 7; x = i + 16; w = y + 19; y = 7; v = g + 4; s = u + 9. If y = 7, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"t": "a + 8", "b": "t + 9", "h": "b + 13", "y": "h + 13", "n": "y + 2", "s": "n + 11", "c": "a + 3", "v": "c + 6", "e": "v + 9", "w": "e + 14", "d": "w + 18", "k": "d + 17", "a": 7}, "premises": {"a": 7}, "target": "s"}, "answer": {"steps": [["n", "y + 2", "y + 13"], ["y", "h + 13", "h + 26"], ["h", "b + 13", "b + 39"], ["b", "t + 9", "t + 48"], ["t", "a + 8", "a + 56"], ["a", 7, "63"]], "target_var_name": "s", "target_value": 63, "value_dict": {"a": 7}, "is_reverse": true}} | 21,057 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = 7; e = v + 9; c = a + 3; b = t + 9; n = y + 2; s = n + 11; v = c + 6; d = w + 18; y = h + 13; k = d + 17; w = e + 14; t = a + 8; h = b + 13. If a = 7, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = y + 2 to s, which gives s = y + 13.\n2. Substitute y = h + 13 to s, which gives s = h + 26.\n3. Substitute h = b + 13 to s, which gives s = b + 39.\n4. Substitute b = t + 9 to s, which gives s = t + 48.\n5. Substitute t = a + 8 to s, which gives s = a + 56.\n6. Substitute a = 7 to s, which gives s = 63.\n\nThus, the final answer is s = \\boxed{63}.",
"index": 21057,
"question": "Consider a system of variables where each variable is defined as follows: a = 7; e = v + 9; c = a + 3; b = t + 9; n = y + 2; s = n + 11; v = c + 6; d = w + 18; y = h + 13; k = d + 17; w = e + 14; t = a + 8; h = b + 13. If a = 7, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"u": "i + 10", "d": "u + 18", "v": "d + 10", "q": "v + 5", "r": "q + 5", "a": "r + 19", "y": "i + 5", "j": "y + 9", "w": "j + 10", "c": "w + 11", "h": "c + 18", "k": "h + 14", "i": 18}, "premises": {"i": 18}, "target": "a"}, "answer": {"steps": [["r", "q + 5", "q + 24"], ["q", "v + 5", "v + 29"], ["v", "d + 10", "d + 39"], ["d", "u + 18", "u + 57"], ["u", "i + 10", "i + 67"], ["i", 18, "85"]], "target_var_name": "a", "target_value": 85, "value_dict": {"i": 18}, "is_reverse": true}} | 21,058 | 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 + 5; h = c + 18; d = u + 18; c = w + 11; w = j + 10; q = v + 5; k = h + 14; v = d + 10; u = i + 10; i = 18; j = y + 9; y = i + 5; a = r + 19. If i = 18, 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 r = q + 5 to a, which gives a = q + 24.\n2. Substitute q = v + 5 to a, which gives a = v + 29.\n3. Substitute v = d + 10 to a, which gives a = d + 39.\n4. Substitute d = u + 18 to a, which gives a = u + 57.\n5. Substitute u = i + 10 to a, which gives a = i + 67.\n6. Substitute i = 18 to a, which gives a = 85.\n\nThus, the final answer is a = \\boxed{85}.",
"index": 21058,
"question": "Consider a system of variables where each variable is defined as follows: r = q + 5; h = c + 18; d = u + 18; c = w + 11; w = j + 10; q = v + 5; k = h + 14; v = d + 10; u = i + 10; i = 18; j = y + 9; y = i + 5; a = r + 19. If i = 18, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"k": "t + 2", "n": "k + 14", "x": "n + 5", "p": "x + 3", "o": "p + 8", "b": "o + 2", "s": "t + 7", "e": "s + 7", "y": "e + 1", "q": "y + 8", "g": "q + 19", "i": "g + 20", "t": 13}, "premises": {"t": 13}, "target": "b"}, "answer": {"steps": [["o", "p + 8", "p + 10"], ["p", "x + 3", "x + 13"], ["x", "n + 5", "n + 18"], ["n", "k + 14", "k + 32"], ["k", "t + 2", "t + 34"], ["t", 13, "47"]], "target_var_name": "b", "target_value": 47, "value_dict": {"t": 13}, "is_reverse": true}} | 21,059 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = p + 8; g = q + 19; q = y + 8; s = t + 7; n = k + 14; t = 13; x = n + 5; e = s + 7; y = e + 1; i = g + 20; b = o + 2; k = t + 2; p = x + 3. Given that t = 13, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = p + 8 to b, which gives b = p + 10.\n2. Substitute p = x + 3 to b, which gives b = x + 13.\n3. Substitute x = n + 5 to b, which gives b = n + 18.\n4. Substitute n = k + 14 to b, which gives b = k + 32.\n5. Substitute k = t + 2 to b, which gives b = t + 34.\n6. Substitute t = 13 to b, which gives b = 47.\n\nThus, the final answer is b = \\boxed{47}.",
"index": 21059,
"question": "Suppose a collection of variables is related by the following definitions: o = p + 8; g = q + 19; q = y + 8; s = t + 7; n = k + 14; t = 13; x = n + 5; e = s + 7; y = e + 1; i = g + 20; b = o + 2; k = t + 2; p = x + 3. Given that t = 13, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"u": "n + 11", "g": "u + 2", "y": "g + 7", "f": "y + 9", "k": "f + 19", "i": "k + 19", "b": "n + 4", "m": "b + 14", "l": "m + 3", "x": "l + 2", "s": "x + 7", "h": "s + 16", "n": 15}, "premises": {"n": 15}, "target": "i"}, "answer": {"steps": [["k", "f + 19", "f + 38"], ["f", "y + 9", "y + 47"], ["y", "g + 7", "g + 54"], ["g", "u + 2", "u + 56"], ["u", "n + 11", "n + 67"], ["n", 15, "82"]], "target_var_name": "i", "target_value": 82, "value_dict": {"n": 15}, "is_reverse": true}} | 21,060 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = f + 19; b = n + 4; s = x + 7; l = m + 3; f = y + 9; m = b + 14; i = k + 19; u = n + 11; x = l + 2; h = s + 16; n = 15; g = u + 2; y = g + 7. Given that n = 15, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = f + 19 to i, which gives i = f + 38.\n2. Substitute f = y + 9 to i, which gives i = y + 47.\n3. Substitute y = g + 7 to i, which gives i = g + 54.\n4. Substitute g = u + 2 to i, which gives i = u + 56.\n5. Substitute u = n + 11 to i, which gives i = n + 67.\n6. Substitute n = 15 to i, which gives i = 82.\n\nThus, the final answer is i = \\boxed{82}.",
"index": 21060,
"question": "Suppose a collection of variables is related by the following definitions: k = f + 19; b = n + 4; s = x + 7; l = m + 3; f = y + 9; m = b + 14; i = k + 19; u = n + 11; x = l + 2; h = s + 16; n = 15; g = u + 2; y = g + 7. Given that n = 15, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"u": "k + 19", "d": "u + 8", "t": "d + 14", "c": "t + 4", "n": "c + 11", "h": "n + 7", "x": "k + 17", "v": "x + 20", "w": "v + 14", "r": "w + 9", "p": "r + 3", "f": "p + 2", "k": 13}, "premises": {"k": 13}, "target": "h"}, "answer": {"steps": [["n", "c + 11", "c + 18"], ["c", "t + 4", "t + 22"], ["t", "d + 14", "d + 36"], ["d", "u + 8", "u + 44"], ["u", "k + 19", "k + 63"], ["k", 13, "76"]], "target_var_name": "h", "target_value": 76, "value_dict": {"k": 13}, "is_reverse": true}} | 21,061 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = t + 4; n = c + 11; d = u + 8; v = x + 20; r = w + 9; x = k + 17; h = n + 7; t = d + 14; p = r + 3; k = 13; w = v + 14; u = k + 19; f = p + 2. If k = 13, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = c + 11 to h, which gives h = c + 18.\n2. Substitute c = t + 4 to h, which gives h = t + 22.\n3. Substitute t = d + 14 to h, which gives h = d + 36.\n4. Substitute d = u + 8 to h, which gives h = u + 44.\n5. Substitute u = k + 19 to h, which gives h = k + 63.\n6. Substitute k = 13 to h, which gives h = 76.\n\nThus, the final answer is h = \\boxed{76}.",
"index": 21061,
"question": "Consider a system of variables where each variable is defined as follows: c = t + 4; n = c + 11; d = u + 8; v = x + 20; r = w + 9; x = k + 17; h = n + 7; t = d + 14; p = r + 3; k = 13; w = v + 14; u = k + 19; f = p + 2. If k = 13, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"y": "o + 5", "n": "y + 7", "l": "n + 7", "i": "l + 10", "d": "i + 15", "s": "d + 19", "q": "o + 11", "u": "q + 19", "b": "u + 19", "v": "b + 13", "m": "v + 20", "e": "m + 2", "o": 1}, "premises": {"o": 1}, "target": "s"}, "answer": {"steps": [["d", "i + 15", "i + 34"], ["i", "l + 10", "l + 44"], ["l", "n + 7", "n + 51"], ["n", "y + 7", "y + 58"], ["y", "o + 5", "o + 63"], ["o", 1, "64"]], "target_var_name": "s", "target_value": 64, "value_dict": {"o": 1}, "is_reverse": true}} | 21,062 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = 1; d = i + 15; l = n + 7; s = d + 19; b = u + 19; e = m + 2; y = o + 5; n = y + 7; q = o + 11; u = q + 19; v = b + 13; i = l + 10; m = v + 20. Given that o = 1, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = i + 15 to s, which gives s = i + 34.\n2. Substitute i = l + 10 to s, which gives s = l + 44.\n3. Substitute l = n + 7 to s, which gives s = n + 51.\n4. Substitute n = y + 7 to s, which gives s = y + 58.\n5. Substitute y = o + 5 to s, which gives s = o + 63.\n6. Substitute o = 1 to s, which gives s = 64.\n\nThus, the final answer is s = \\boxed{64}.",
"index": 21062,
"question": "Suppose a collection of variables is related by the following definitions: o = 1; d = i + 15; l = n + 7; s = d + 19; b = u + 19; e = m + 2; y = o + 5; n = y + 7; q = o + 11; u = q + 19; v = b + 13; i = l + 10; m = v + 20. Given that o = 1, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"o": "q + 11", "z": "o + 18", "v": "z + 7", "l": "v + 12", "p": "l + 11", "b": "p + 3", "x": "q + 17", "d": "x + 20", "w": "d + 4", "c": "w + 6", "j": "c + 20", "a": "j + 1", "q": 18}, "premises": {"q": 18}, "target": "b"}, "answer": {"steps": [["p", "l + 11", "l + 14"], ["l", "v + 12", "v + 26"], ["v", "z + 7", "z + 33"], ["z", "o + 18", "o + 51"], ["o", "q + 11", "q + 62"], ["q", 18, "80"]], "target_var_name": "b", "target_value": 80, "value_dict": {"q": 18}, "is_reverse": true}} | 21,063 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = l + 11; q = 18; z = o + 18; w = d + 4; a = j + 1; b = p + 3; l = v + 12; j = c + 20; d = x + 20; x = q + 17; c = w + 6; o = q + 11; v = z + 7. If q = 18, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = l + 11 to b, which gives b = l + 14.\n2. Substitute l = v + 12 to b, which gives b = v + 26.\n3. Substitute v = z + 7 to b, which gives b = z + 33.\n4. Substitute z = o + 18 to b, which gives b = o + 51.\n5. Substitute o = q + 11 to b, which gives b = q + 62.\n6. Substitute q = 18 to b, which gives b = 80.\n\nThus, the final answer is b = \\boxed{80}.",
"index": 21063,
"question": "Consider a system of variables where each variable is defined as follows: p = l + 11; q = 18; z = o + 18; w = d + 4; a = j + 1; b = p + 3; l = v + 12; j = c + 20; d = x + 20; x = q + 17; c = w + 6; o = q + 11; v = z + 7. If q = 18, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"s": "q + 9", "g": "s + 5", "d": "g + 19", "m": "d + 2", "i": "m + 2", "u": "i + 4", "k": "q + 13", "x": "k + 17", "j": "x + 14", "o": "j + 20", "b": "o + 19", "l": "b + 3", "q": 19}, "premises": {"q": 19}, "target": "u"}, "answer": {"steps": [["i", "m + 2", "m + 6"], ["m", "d + 2", "d + 8"], ["d", "g + 19", "g + 27"], ["g", "s + 5", "s + 32"], ["s", "q + 9", "q + 41"], ["q", 19, "60"]], "target_var_name": "u", "target_value": 60, "value_dict": {"q": 19}, "is_reverse": true}} | 21,064 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = q + 13; b = o + 19; o = j + 20; l = b + 3; m = d + 2; s = q + 9; x = k + 17; j = x + 14; q = 19; g = s + 5; d = g + 19; i = m + 2; u = i + 4. Given that q = 19, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = m + 2 to u, which gives u = m + 6.\n2. Substitute m = d + 2 to u, which gives u = d + 8.\n3. Substitute d = g + 19 to u, which gives u = g + 27.\n4. Substitute g = s + 5 to u, which gives u = s + 32.\n5. Substitute s = q + 9 to u, which gives u = q + 41.\n6. Substitute q = 19 to u, which gives u = 60.\n\nThus, the final answer is u = \\boxed{60}.",
"index": 21064,
"question": "Suppose a collection of variables is related by the following definitions: k = q + 13; b = o + 19; o = j + 20; l = b + 3; m = d + 2; s = q + 9; x = k + 17; j = x + 14; q = 19; g = s + 5; d = g + 19; i = m + 2; u = i + 4. Given that q = 19, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"g": "a + 5", "k": "g + 14", "t": "k + 9", "e": "t + 6", "p": "e + 4", "f": "p + 12", "v": "a + 11", "m": "v + 5", "o": "m + 6", "w": "o + 12", "r": "w + 16", "j": "r + 7", "a": 14}, "premises": {"a": 14}, "target": "f"}, "answer": {"steps": [["p", "e + 4", "e + 16"], ["e", "t + 6", "t + 22"], ["t", "k + 9", "k + 31"], ["k", "g + 14", "g + 45"], ["g", "a + 5", "a + 50"], ["a", 14, "64"]], "target_var_name": "f", "target_value": 64, "value_dict": {"a": 14}, "is_reverse": true}} | 21,065 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = a + 5; v = a + 11; p = e + 4; a = 14; e = t + 6; f = p + 12; m = v + 5; k = g + 14; w = o + 12; o = m + 6; j = r + 7; r = w + 16; t = k + 9. If a = 14, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = e + 4 to f, which gives f = e + 16.\n2. Substitute e = t + 6 to f, which gives f = t + 22.\n3. Substitute t = k + 9 to f, which gives f = k + 31.\n4. Substitute k = g + 14 to f, which gives f = g + 45.\n5. Substitute g = a + 5 to f, which gives f = a + 50.\n6. Substitute a = 14 to f, which gives f = 64.\n\nThus, the final answer is f = \\boxed{64}.",
"index": 21065,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = a + 5; v = a + 11; p = e + 4; a = 14; e = t + 6; f = p + 12; m = v + 5; k = g + 14; w = o + 12; o = m + 6; j = r + 7; r = w + 16; t = k + 9. If a = 14, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"k": "w + 14", "r": "k + 3", "g": "r + 16", "b": "g + 17", "c": "b + 12", "l": "c + 4", "p": "w + 18", "f": "p + 14", "t": "f + 11", "a": "t + 1", "j": "a + 11", "o": "j + 4", "w": 8}, "premises": {"w": 8}, "target": "l"}, "answer": {"steps": [["c", "b + 12", "b + 16"], ["b", "g + 17", "g + 33"], ["g", "r + 16", "r + 49"], ["r", "k + 3", "k + 52"], ["k", "w + 14", "w + 66"], ["w", 8, "74"]], "target_var_name": "l", "target_value": 74, "value_dict": {"w": 8}, "is_reverse": true}} | 21,066 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = j + 4; k = w + 14; l = c + 4; b = g + 17; j = a + 11; w = 8; a = t + 1; c = b + 12; t = f + 11; p = w + 18; f = p + 14; g = r + 16; r = k + 3. Given that w = 8, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = b + 12 to l, which gives l = b + 16.\n2. Substitute b = g + 17 to l, which gives l = g + 33.\n3. Substitute g = r + 16 to l, which gives l = r + 49.\n4. Substitute r = k + 3 to l, which gives l = k + 52.\n5. Substitute k = w + 14 to l, which gives l = w + 66.\n6. Substitute w = 8 to l, which gives l = 74.\n\nThus, the final answer is l = \\boxed{74}.",
"index": 21066,
"question": "Suppose a collection of variables is related by the following definitions: o = j + 4; k = w + 14; l = c + 4; b = g + 17; j = a + 11; w = 8; a = t + 1; c = b + 12; t = f + 11; p = w + 18; f = p + 14; g = r + 16; r = k + 3. Given that w = 8, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"c": "l + 20", "i": "c + 5", "w": "i + 11", "u": "w + 9", "g": "u + 1", "h": "g + 16", "k": "l + 5", "a": "k + 5", "y": "a + 6", "d": "y + 13", "v": "d + 10", "t": "v + 10", "l": 16}, "premises": {"l": 16}, "target": "h"}, "answer": {"steps": [["g", "u + 1", "u + 17"], ["u", "w + 9", "w + 26"], ["w", "i + 11", "i + 37"], ["i", "c + 5", "c + 42"], ["c", "l + 20", "l + 62"], ["l", 16, "78"]], "target_var_name": "h", "target_value": 78, "value_dict": {"l": 16}, "is_reverse": true}} | 21,067 | 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 = i + 11; u = w + 9; h = g + 16; a = k + 5; k = l + 5; i = c + 5; g = u + 1; y = a + 6; l = 16; d = y + 13; v = d + 10; t = v + 10; c = l + 20. If l = 16, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = u + 1 to h, which gives h = u + 17.\n2. Substitute u = w + 9 to h, which gives h = w + 26.\n3. Substitute w = i + 11 to h, which gives h = i + 37.\n4. Substitute i = c + 5 to h, which gives h = c + 42.\n5. Substitute c = l + 20 to h, which gives h = l + 62.\n6. Substitute l = 16 to h, which gives h = 78.\n\nThus, the final answer is h = \\boxed{78}.",
"index": 21067,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = i + 11; u = w + 9; h = g + 16; a = k + 5; k = l + 5; i = c + 5; g = u + 1; y = a + 6; l = 16; d = y + 13; v = d + 10; t = v + 10; c = l + 20. If l = 16, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"v": "u + 17", "j": "v + 1", "a": "j + 18", "s": "a + 10", "r": "s + 14", "b": "r + 11", "o": "u + 7", "k": "o + 8", "e": "k + 2", "w": "e + 15", "g": "w + 2", "t": "g + 20", "u": 12}, "premises": {"u": 12}, "target": "b"}, "answer": {"steps": [["r", "s + 14", "s + 25"], ["s", "a + 10", "a + 35"], ["a", "j + 18", "j + 53"], ["j", "v + 1", "v + 54"], ["v", "u + 17", "u + 71"], ["u", 12, "83"]], "target_var_name": "b", "target_value": 83, "value_dict": {"u": 12}, "is_reverse": true}} | 21,068 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = j + 18; o = u + 7; u = 12; v = u + 17; w = e + 15; b = r + 11; s = a + 10; e = k + 2; k = o + 8; g = w + 2; t = g + 20; j = v + 1; r = s + 14. If u = 12, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = s + 14 to b, which gives b = s + 25.\n2. Substitute s = a + 10 to b, which gives b = a + 35.\n3. Substitute a = j + 18 to b, which gives b = j + 53.\n4. Substitute j = v + 1 to b, which gives b = v + 54.\n5. Substitute v = u + 17 to b, which gives b = u + 71.\n6. Substitute u = 12 to b, which gives b = 83.\n\nThus, the final answer is b = \\boxed{83}.",
"index": 21068,
"question": "Consider a system of variables where each variable is defined as follows: a = j + 18; o = u + 7; u = 12; v = u + 17; w = e + 15; b = r + 11; s = a + 10; e = k + 2; k = o + 8; g = w + 2; t = g + 20; j = v + 1; r = s + 14. If u = 12, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"y": "k + 18", "o": "y + 3", "i": "o + 11", "g": "i + 3", "c": "g + 4", "d": "c + 20", "h": "k + 19", "v": "h + 12", "u": "v + 13", "a": "u + 5", "j": "a + 4", "w": "j + 15", "k": 13}, "premises": {"k": 13}, "target": "d"}, "answer": {"steps": [["c", "g + 4", "g + 24"], ["g", "i + 3", "i + 27"], ["i", "o + 11", "o + 38"], ["o", "y + 3", "y + 41"], ["y", "k + 18", "k + 59"], ["k", 13, "72"]], "target_var_name": "d", "target_value": 72, "value_dict": {"k": 13}, "is_reverse": true}} | 21,069 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = o + 11; d = c + 20; y = k + 18; j = a + 4; g = i + 3; c = g + 4; w = j + 15; a = u + 5; v = h + 12; h = k + 19; u = v + 13; k = 13; o = y + 3. If k = 13, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = g + 4 to d, which gives d = g + 24.\n2. Substitute g = i + 3 to d, which gives d = i + 27.\n3. Substitute i = o + 11 to d, which gives d = o + 38.\n4. Substitute o = y + 3 to d, which gives d = y + 41.\n5. Substitute y = k + 18 to d, which gives d = k + 59.\n6. Substitute k = 13 to d, which gives d = 72.\n\nThus, the final answer is d = \\boxed{72}.",
"index": 21069,
"question": "Consider a system of variables where each variable is defined as follows: i = o + 11; d = c + 20; y = k + 18; j = a + 4; g = i + 3; c = g + 4; w = j + 15; a = u + 5; v = h + 12; h = k + 19; u = v + 13; k = 13; o = y + 3. If k = 13, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"w": "j + 1", "v": "w + 1", "t": "v + 5", "s": "t + 8", "z": "s + 18", "u": "z + 19", "o": "j + 1", "x": "o + 8", "k": "x + 16", "g": "k + 19", "p": "g + 3", "l": "p + 15", "j": 6}, "premises": {"j": 6}, "target": "u"}, "answer": {"steps": [["z", "s + 18", "s + 37"], ["s", "t + 8", "t + 45"], ["t", "v + 5", "v + 50"], ["v", "w + 1", "w + 51"], ["w", "j + 1", "j + 52"], ["j", 6, "58"]], "target_var_name": "u", "target_value": 58, "value_dict": {"j": 6}, "is_reverse": true}} | 21,070 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = w + 1; t = v + 5; g = k + 19; w = j + 1; l = p + 15; u = z + 19; k = x + 16; j = 6; o = j + 1; p = g + 3; z = s + 18; x = o + 8; s = t + 8. Given that j = 6, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = s + 18 to u, which gives u = s + 37.\n2. Substitute s = t + 8 to u, which gives u = t + 45.\n3. Substitute t = v + 5 to u, which gives u = v + 50.\n4. Substitute v = w + 1 to u, which gives u = w + 51.\n5. Substitute w = j + 1 to u, which gives u = j + 52.\n6. Substitute j = 6 to u, which gives u = 58.\n\nThus, the final answer is u = \\boxed{58}.",
"index": 21070,
"question": "Suppose a collection of variables is related by the following definitions: v = w + 1; t = v + 5; g = k + 19; w = j + 1; l = p + 15; u = z + 19; k = x + 16; j = 6; o = j + 1; p = g + 3; z = s + 18; x = o + 8; s = t + 8. Given that j = 6, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"f": "h + 13", "i": "f + 15", "w": "i + 19", "r": "w + 12", "e": "r + 14", "g": "e + 3", "j": "h + 2", "m": "j + 11", "n": "m + 18", "s": "n + 18", "x": "s + 19", "y": "x + 20", "h": 15}, "premises": {"h": 15}, "target": "g"}, "answer": {"steps": [["e", "r + 14", "r + 17"], ["r", "w + 12", "w + 29"], ["w", "i + 19", "i + 48"], ["i", "f + 15", "f + 63"], ["f", "h + 13", "h + 76"], ["h", 15, "91"]], "target_var_name": "g", "target_value": 91, "value_dict": {"h": 15}, "is_reverse": true}} | 21,071 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = i + 19; r = w + 12; s = n + 18; y = x + 20; x = s + 19; e = r + 14; i = f + 15; m = j + 11; n = m + 18; g = e + 3; h = 15; j = h + 2; f = h + 13. Given that h = 15, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = r + 14 to g, which gives g = r + 17.\n2. Substitute r = w + 12 to g, which gives g = w + 29.\n3. Substitute w = i + 19 to g, which gives g = i + 48.\n4. Substitute i = f + 15 to g, which gives g = f + 63.\n5. Substitute f = h + 13 to g, which gives g = h + 76.\n6. Substitute h = 15 to g, which gives g = 91.\n\nThus, the final answer is g = \\boxed{91}.",
"index": 21071,
"question": "Suppose a collection of variables is related by the following definitions: w = i + 19; r = w + 12; s = n + 18; y = x + 20; x = s + 19; e = r + 14; i = f + 15; m = j + 11; n = m + 18; g = e + 3; h = 15; j = h + 2; f = h + 13. Given that h = 15, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"u": "x + 18", "s": "u + 4", "i": "s + 15", "z": "i + 14", "n": "z + 14", "k": "n + 5", "m": "x + 19", "b": "m + 19", "r": "b + 8", "f": "r + 10", "l": "f + 20", "y": "l + 6", "x": 11}, "premises": {"x": 11}, "target": "k"}, "answer": {"steps": [["n", "z + 14", "z + 19"], ["z", "i + 14", "i + 33"], ["i", "s + 15", "s + 48"], ["s", "u + 4", "u + 52"], ["u", "x + 18", "x + 70"], ["x", 11, "81"]], "target_var_name": "k", "target_value": 81, "value_dict": {"x": 11}, "is_reverse": true}} | 21,072 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = n + 5; z = i + 14; n = z + 14; r = b + 8; i = s + 15; b = m + 19; l = f + 20; m = x + 19; s = u + 4; y = l + 6; u = x + 18; x = 11; f = r + 10. Given that x = 11, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = z + 14 to k, which gives k = z + 19.\n2. Substitute z = i + 14 to k, which gives k = i + 33.\n3. Substitute i = s + 15 to k, which gives k = s + 48.\n4. Substitute s = u + 4 to k, which gives k = u + 52.\n5. Substitute u = x + 18 to k, which gives k = x + 70.\n6. Substitute x = 11 to k, which gives k = 81.\n\nThus, the final answer is k = \\boxed{81}.",
"index": 21072,
"question": "Suppose a collection of variables is related by the following definitions: k = n + 5; z = i + 14; n = z + 14; r = b + 8; i = s + 15; b = m + 19; l = f + 20; m = x + 19; s = u + 4; y = l + 6; u = x + 18; x = 11; f = r + 10. Given that x = 11, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"t": "c + 19", "h": "t + 10", "q": "h + 8", "b": "q + 9", "z": "b + 7", "j": "z + 16", "x": "c + 15", "m": "x + 7", "y": "m + 17", "k": "y + 18", "f": "k + 18", "o": "f + 8", "c": 20}, "premises": {"c": 20}, "target": "j"}, "answer": {"steps": [["z", "b + 7", "b + 23"], ["b", "q + 9", "q + 32"], ["q", "h + 8", "h + 40"], ["h", "t + 10", "t + 50"], ["t", "c + 19", "c + 69"], ["c", 20, "89"]], "target_var_name": "j", "target_value": 89, "value_dict": {"c": 20}, "is_reverse": true}} | 21,073 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = t + 10; z = b + 7; y = m + 17; b = q + 9; j = z + 16; t = c + 19; q = h + 8; f = k + 18; o = f + 8; m = x + 7; c = 20; k = y + 18; x = c + 15. If c = 20, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = b + 7 to j, which gives j = b + 23.\n2. Substitute b = q + 9 to j, which gives j = q + 32.\n3. Substitute q = h + 8 to j, which gives j = h + 40.\n4. Substitute h = t + 10 to j, which gives j = t + 50.\n5. Substitute t = c + 19 to j, which gives j = c + 69.\n6. Substitute c = 20 to j, which gives j = 89.\n\nThus, the final answer is j = \\boxed{89}.",
"index": 21073,
"question": "Consider a system of variables where each variable is defined as follows: h = t + 10; z = b + 7; y = m + 17; b = q + 9; j = z + 16; t = c + 19; q = h + 8; f = k + 18; o = f + 8; m = x + 7; c = 20; k = y + 18; x = c + 15. If c = 20, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"r": "t + 7", "q": "r + 12", "c": "q + 19", "g": "c + 18", "k": "g + 1", "f": "k + 5", "v": "t + 11", "d": "v + 15", "x": "d + 2", "u": "x + 9", "z": "u + 6", "l": "z + 3", "t": 14}, "premises": {"t": 14}, "target": "f"}, "answer": {"steps": [["k", "g + 1", "g + 6"], ["g", "c + 18", "c + 24"], ["c", "q + 19", "q + 43"], ["q", "r + 12", "r + 55"], ["r", "t + 7", "t + 62"], ["t", 14, "76"]], "target_var_name": "f", "target_value": 76, "value_dict": {"t": 14}, "is_reverse": true}} | 21,074 | 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 = q + 19; l = z + 3; r = t + 7; u = x + 9; q = r + 12; v = t + 11; z = u + 6; g = c + 18; k = g + 1; x = d + 2; d = v + 15; t = 14; f = k + 5. If t = 14, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = g + 1 to f, which gives f = g + 6.\n2. Substitute g = c + 18 to f, which gives f = c + 24.\n3. Substitute c = q + 19 to f, which gives f = q + 43.\n4. Substitute q = r + 12 to f, which gives f = r + 55.\n5. Substitute r = t + 7 to f, which gives f = t + 62.\n6. Substitute t = 14 to f, which gives f = 76.\n\nThus, the final answer is f = \\boxed{76}.",
"index": 21074,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = q + 19; l = z + 3; r = t + 7; u = x + 9; q = r + 12; v = t + 11; z = u + 6; g = c + 18; k = g + 1; x = d + 2; d = v + 15; t = 14; f = k + 5. If t = 14, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"p": "k + 10", "c": "p + 19", "y": "c + 11", "t": "y + 3", "j": "t + 16", "b": "j + 11", "l": "k + 14", "m": "l + 9", "a": "m + 9", "n": "a + 8", "x": "n + 1", "v": "x + 16", "k": 7}, "premises": {"k": 7}, "target": "b"}, "answer": {"steps": [["j", "t + 16", "t + 27"], ["t", "y + 3", "y + 30"], ["y", "c + 11", "c + 41"], ["c", "p + 19", "p + 60"], ["p", "k + 10", "k + 70"], ["k", 7, "77"]], "target_var_name": "b", "target_value": 77, "value_dict": {"k": 7}, "is_reverse": true}} | 21,075 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = k + 14; c = p + 19; t = y + 3; b = j + 11; a = m + 9; k = 7; v = x + 16; p = k + 10; n = a + 8; x = n + 1; y = c + 11; j = t + 16; m = l + 9. If k = 7, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = t + 16 to b, which gives b = t + 27.\n2. Substitute t = y + 3 to b, which gives b = y + 30.\n3. Substitute y = c + 11 to b, which gives b = c + 41.\n4. Substitute c = p + 19 to b, which gives b = p + 60.\n5. Substitute p = k + 10 to b, which gives b = k + 70.\n6. Substitute k = 7 to b, which gives b = 77.\n\nThus, the final answer is b = \\boxed{77}.",
"index": 21075,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = k + 14; c = p + 19; t = y + 3; b = j + 11; a = m + 9; k = 7; v = x + 16; p = k + 10; n = a + 8; x = n + 1; y = c + 11; j = t + 16; m = l + 9. If k = 7, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"g": "v + 5", "x": "g + 10", "d": "x + 9", "o": "d + 17", "m": "o + 2", "h": "m + 16", "b": "v + 1", "k": "b + 1", "z": "k + 18", "t": "z + 10", "c": "t + 10", "u": "c + 1", "v": 10}, "premises": {"v": 10}, "target": "h"}, "answer": {"steps": [["m", "o + 2", "o + 18"], ["o", "d + 17", "d + 35"], ["d", "x + 9", "x + 44"], ["x", "g + 10", "g + 54"], ["g", "v + 5", "v + 59"], ["v", 10, "69"]], "target_var_name": "h", "target_value": 69, "value_dict": {"v": 10}, "is_reverse": true}} | 21,076 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = v + 5; m = o + 2; x = g + 10; d = x + 9; k = b + 1; u = c + 1; b = v + 1; o = d + 17; v = 10; c = t + 10; t = z + 10; h = m + 16; z = k + 18. If v = 10, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = o + 2 to h, which gives h = o + 18.\n2. Substitute o = d + 17 to h, which gives h = d + 35.\n3. Substitute d = x + 9 to h, which gives h = x + 44.\n4. Substitute x = g + 10 to h, which gives h = g + 54.\n5. Substitute g = v + 5 to h, which gives h = v + 59.\n6. Substitute v = 10 to h, which gives h = 69.\n\nThus, the final answer is h = \\boxed{69}.",
"index": 21076,
"question": "Consider a system of variables where each variable is defined as follows: g = v + 5; m = o + 2; x = g + 10; d = x + 9; k = b + 1; u = c + 1; b = v + 1; o = d + 17; v = 10; c = t + 10; t = z + 10; h = m + 16; z = k + 18. If v = 10, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"g": "a + 9", "x": "g + 12", "b": "x + 12", "r": "b + 11", "q": "r + 1", "t": "q + 9", "v": "a + 4", "w": "v + 4", "s": "w + 1", "h": "s + 8", "y": "h + 9", "i": "y + 5", "a": 12}, "premises": {"a": 12}, "target": "t"}, "answer": {"steps": [["q", "r + 1", "r + 10"], ["r", "b + 11", "b + 21"], ["b", "x + 12", "x + 33"], ["x", "g + 12", "g + 45"], ["g", "a + 9", "a + 54"], ["a", 12, "66"]], "target_var_name": "t", "target_value": 66, "value_dict": {"a": 12}, "is_reverse": true}} | 21,077 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = g + 12; v = a + 4; a = 12; w = v + 4; g = a + 9; s = w + 1; t = q + 9; y = h + 9; i = y + 5; q = r + 1; h = s + 8; r = b + 11; b = x + 12. Given that a = 12, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = r + 1 to t, which gives t = r + 10.\n2. Substitute r = b + 11 to t, which gives t = b + 21.\n3. Substitute b = x + 12 to t, which gives t = x + 33.\n4. Substitute x = g + 12 to t, which gives t = g + 45.\n5. Substitute g = a + 9 to t, which gives t = a + 54.\n6. Substitute a = 12 to t, which gives t = 66.\n\nThus, the final answer is t = \\boxed{66}.",
"index": 21077,
"question": "Suppose a collection of variables is related by the following definitions: x = g + 12; v = a + 4; a = 12; w = v + 4; g = a + 9; s = w + 1; t = q + 9; y = h + 9; i = y + 5; q = r + 1; h = s + 8; r = b + 11; b = x + 12. Given that a = 12, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"x": "a + 11", "m": "x + 14", "t": "m + 11", "o": "t + 5", "b": "o + 6", "h": "b + 16", "p": "a + 12", "c": "p + 18", "d": "c + 13", "v": "d + 9", "g": "v + 7", "e": "g + 19", "a": 6}, "premises": {"a": 6}, "target": "h"}, "answer": {"steps": [["b", "o + 6", "o + 22"], ["o", "t + 5", "t + 27"], ["t", "m + 11", "m + 38"], ["m", "x + 14", "x + 52"], ["x", "a + 11", "a + 63"], ["a", 6, "69"]], "target_var_name": "h", "target_value": 69, "value_dict": {"a": 6}, "is_reverse": true}} | 21,078 | 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 = g + 19; t = m + 11; h = b + 16; x = a + 11; d = c + 13; b = o + 6; p = a + 12; c = p + 18; g = v + 7; o = t + 5; v = d + 9; m = x + 14; a = 6. If a = 6, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = o + 6 to h, which gives h = o + 22.\n2. Substitute o = t + 5 to h, which gives h = t + 27.\n3. Substitute t = m + 11 to h, which gives h = m + 38.\n4. Substitute m = x + 14 to h, which gives h = x + 52.\n5. Substitute x = a + 11 to h, which gives h = a + 63.\n6. Substitute a = 6 to h, which gives h = 69.\n\nThus, the final answer is h = \\boxed{69}.",
"index": 21078,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = g + 19; t = m + 11; h = b + 16; x = a + 11; d = c + 13; b = o + 6; p = a + 12; c = p + 18; g = v + 7; o = t + 5; v = d + 9; m = x + 14; a = 6. If a = 6, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"n": "w + 20", "b": "n + 8", "k": "b + 13", "p": "k + 7", "v": "p + 9", "d": "v + 6", "f": "w + 6", "e": "f + 13", "a": "e + 3", "h": "a + 2", "t": "h + 10", "q": "t + 3", "w": 6}, "premises": {"w": 6}, "target": "d"}, "answer": {"steps": [["v", "p + 9", "p + 15"], ["p", "k + 7", "k + 22"], ["k", "b + 13", "b + 35"], ["b", "n + 8", "n + 43"], ["n", "w + 20", "w + 63"], ["w", 6, "69"]], "target_var_name": "d", "target_value": 69, "value_dict": {"w": 6}, "is_reverse": true}} | 21,079 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = w + 20; e = f + 13; w = 6; p = k + 7; v = p + 9; a = e + 3; t = h + 10; h = a + 2; f = w + 6; b = n + 8; d = v + 6; k = b + 13; q = t + 3. If w = 6, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = p + 9 to d, which gives d = p + 15.\n2. Substitute p = k + 7 to d, which gives d = k + 22.\n3. Substitute k = b + 13 to d, which gives d = b + 35.\n4. Substitute b = n + 8 to d, which gives d = n + 43.\n5. Substitute n = w + 20 to d, which gives d = w + 63.\n6. Substitute w = 6 to d, which gives d = 69.\n\nThus, the final answer is d = \\boxed{69}.",
"index": 21079,
"question": "Consider a system of variables where each variable is defined as follows: n = w + 20; e = f + 13; w = 6; p = k + 7; v = p + 9; a = e + 3; t = h + 10; h = a + 2; f = w + 6; b = n + 8; d = v + 6; k = b + 13; q = t + 3. If w = 6, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"c": "i + 19", "v": "c + 8", "g": "v + 8", "n": "g + 16", "x": "n + 17", "e": "x + 14", "o": "i + 5", "a": "o + 1", "r": "a + 20", "w": "r + 9", "y": "w + 16", "t": "y + 4", "i": 1}, "premises": {"i": 1}, "target": "e"}, "answer": {"steps": [["x", "n + 17", "n + 31"], ["n", "g + 16", "g + 47"], ["g", "v + 8", "v + 55"], ["v", "c + 8", "c + 63"], ["c", "i + 19", "i + 82"], ["i", 1, "83"]], "target_var_name": "e", "target_value": 83, "value_dict": {"i": 1}, "is_reverse": true}} | 21,080 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = x + 14; x = n + 17; o = i + 5; t = y + 4; c = i + 19; n = g + 16; y = w + 16; w = r + 9; r = a + 20; v = c + 8; a = o + 1; g = v + 8; i = 1. If i = 1, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = n + 17 to e, which gives e = n + 31.\n2. Substitute n = g + 16 to e, which gives e = g + 47.\n3. Substitute g = v + 8 to e, which gives e = v + 55.\n4. Substitute v = c + 8 to e, which gives e = c + 63.\n5. Substitute c = i + 19 to e, which gives e = i + 82.\n6. Substitute i = 1 to e, which gives e = 83.\n\nThus, the final answer is e = \\boxed{83}.",
"index": 21080,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = x + 14; x = n + 17; o = i + 5; t = y + 4; c = i + 19; n = g + 16; y = w + 16; w = r + 9; r = a + 20; v = c + 8; a = o + 1; g = v + 8; i = 1. If i = 1, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"c": "b + 5", "m": "c + 2", "k": "m + 17", "s": "k + 2", "r": "s + 14", "h": "r + 11", "x": "b + 19", "l": "x + 20", "d": "l + 2", "n": "d + 8", "a": "n + 16", "o": "a + 1", "b": 14}, "premises": {"b": 14}, "target": "h"}, "answer": {"steps": [["r", "s + 14", "s + 25"], ["s", "k + 2", "k + 27"], ["k", "m + 17", "m + 44"], ["m", "c + 2", "c + 46"], ["c", "b + 5", "b + 51"], ["b", 14, "65"]], "target_var_name": "h", "target_value": 65, "value_dict": {"b": 14}, "is_reverse": true}} | 21,081 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = a + 1; h = r + 11; d = l + 2; a = n + 16; s = k + 2; k = m + 17; b = 14; l = x + 20; x = b + 19; n = d + 8; m = c + 2; c = b + 5; r = s + 14. If b = 14, determine the 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 r = s + 14 to h, which gives h = s + 25.\n2. Substitute s = k + 2 to h, which gives h = k + 27.\n3. Substitute k = m + 17 to h, which gives h = m + 44.\n4. Substitute m = c + 2 to h, which gives h = c + 46.\n5. Substitute c = b + 5 to h, which gives h = b + 51.\n6. Substitute b = 14 to h, which gives h = 65.\n\nThus, the final answer is h = \\boxed{65}.",
"index": 21081,
"question": "Consider a system of variables where each variable is defined as follows: o = a + 1; h = r + 11; d = l + 2; a = n + 16; s = k + 2; k = m + 17; b = 14; l = x + 20; x = b + 19; n = d + 8; m = c + 2; c = b + 5; r = s + 14. If b = 14, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"u": "a + 2", "m": "u + 18", "l": "m + 17", "x": "l + 11", "n": "x + 1", "h": "n + 4", "d": "a + 8", "q": "d + 15", "p": "q + 16", "j": "p + 19", "i": "j + 3", "b": "i + 10", "a": 18}, "premises": {"a": 18}, "target": "h"}, "answer": {"steps": [["n", "x + 1", "x + 5"], ["x", "l + 11", "l + 16"], ["l", "m + 17", "m + 33"], ["m", "u + 18", "u + 51"], ["u", "a + 2", "a + 53"], ["a", 18, "71"]], "target_var_name": "h", "target_value": 71, "value_dict": {"a": 18}, "is_reverse": true}} | 21,082 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = i + 10; n = x + 1; l = m + 17; h = n + 4; a = 18; m = u + 18; j = p + 19; i = j + 3; x = l + 11; p = q + 16; q = d + 15; u = a + 2; d = a + 8. If a = 18, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = x + 1 to h, which gives h = x + 5.\n2. Substitute x = l + 11 to h, which gives h = l + 16.\n3. Substitute l = m + 17 to h, which gives h = m + 33.\n4. Substitute m = u + 18 to h, which gives h = u + 51.\n5. Substitute u = a + 2 to h, which gives h = a + 53.\n6. Substitute a = 18 to h, which gives h = 71.\n\nThus, the final answer is h = \\boxed{71}.",
"index": 21082,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = i + 10; n = x + 1; l = m + 17; h = n + 4; a = 18; m = u + 18; j = p + 19; i = j + 3; x = l + 11; p = q + 16; q = d + 15; u = a + 2; d = a + 8. If a = 18, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"s": "i + 13", "l": "s + 2", "b": "l + 6", "a": "b + 5", "j": "a + 14", "w": "j + 7", "u": "i + 3", "y": "u + 11", "v": "y + 7", "o": "v + 12", "q": "o + 5", "n": "q + 5", "i": 3}, "premises": {"i": 3}, "target": "w"}, "answer": {"steps": [["j", "a + 14", "a + 21"], ["a", "b + 5", "b + 26"], ["b", "l + 6", "l + 32"], ["l", "s + 2", "s + 34"], ["s", "i + 13", "i + 47"], ["i", 3, "50"]], "target_var_name": "w", "target_value": 50, "value_dict": {"i": 3}, "is_reverse": true}} | 21,083 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = a + 14; u = i + 3; w = j + 7; y = u + 11; i = 3; b = l + 6; q = o + 5; s = i + 13; o = v + 12; v = y + 7; l = s + 2; n = q + 5; a = b + 5. If i = 3, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = a + 14 to w, which gives w = a + 21.\n2. Substitute a = b + 5 to w, which gives w = b + 26.\n3. Substitute b = l + 6 to w, which gives w = l + 32.\n4. Substitute l = s + 2 to w, which gives w = s + 34.\n5. Substitute s = i + 13 to w, which gives w = i + 47.\n6. Substitute i = 3 to w, which gives w = 50.\n\nThus, the final answer is w = \\boxed{50}.",
"index": 21083,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = a + 14; u = i + 3; w = j + 7; y = u + 11; i = 3; b = l + 6; q = o + 5; s = i + 13; o = v + 12; v = y + 7; l = s + 2; n = q + 5; a = b + 5. If i = 3, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"z": "j + 7", "p": "z + 3", "u": "p + 20", "r": "u + 11", "b": "r + 5", "m": "b + 5", "c": "j + 10", "l": "c + 15", "w": "l + 18", "e": "w + 1", "v": "e + 7", "n": "v + 16", "j": 17}, "premises": {"j": 17}, "target": "m"}, "answer": {"steps": [["b", "r + 5", "r + 10"], ["r", "u + 11", "u + 21"], ["u", "p + 20", "p + 41"], ["p", "z + 3", "z + 44"], ["z", "j + 7", "j + 51"], ["j", 17, "68"]], "target_var_name": "m", "target_value": 68, "value_dict": {"j": 17}, "is_reverse": true}} | 21,084 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = j + 10; w = l + 18; l = c + 15; j = 17; e = w + 1; p = z + 3; u = p + 20; n = v + 16; r = u + 11; b = r + 5; v = e + 7; z = j + 7; m = b + 5. Given that j = 17, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = r + 5 to m, which gives m = r + 10.\n2. Substitute r = u + 11 to m, which gives m = u + 21.\n3. Substitute u = p + 20 to m, which gives m = p + 41.\n4. Substitute p = z + 3 to m, which gives m = z + 44.\n5. Substitute z = j + 7 to m, which gives m = j + 51.\n6. Substitute j = 17 to m, which gives m = 68.\n\nThus, the final answer is m = \\boxed{68}.",
"index": 21084,
"question": "Suppose a collection of variables is related by the following definitions: c = j + 10; w = l + 18; l = c + 15; j = 17; e = w + 1; p = z + 3; u = p + 20; n = v + 16; r = u + 11; b = r + 5; v = e + 7; z = j + 7; m = b + 5. Given that j = 17, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"k": "u + 13", "d": "k + 18", "g": "d + 5", "b": "g + 9", "j": "b + 7", "c": "j + 18", "v": "u + 2", "r": "v + 17", "h": "r + 8", "l": "h + 8", "n": "l + 3", "o": "n + 11", "u": 2}, "premises": {"u": 2}, "target": "c"}, "answer": {"steps": [["j", "b + 7", "b + 25"], ["b", "g + 9", "g + 34"], ["g", "d + 5", "d + 39"], ["d", "k + 18", "k + 57"], ["k", "u + 13", "u + 70"], ["u", 2, "72"]], "target_var_name": "c", "target_value": 72, "value_dict": {"u": 2}, "is_reverse": true}} | 21,085 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = 2; b = g + 9; j = b + 7; k = u + 13; d = k + 18; r = v + 17; g = d + 5; h = r + 8; o = n + 11; c = j + 18; l = h + 8; n = l + 3; v = u + 2. If u = 2, 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 j = b + 7 to c, which gives c = b + 25.\n2. Substitute b = g + 9 to c, which gives c = g + 34.\n3. Substitute g = d + 5 to c, which gives c = d + 39.\n4. Substitute d = k + 18 to c, which gives c = k + 57.\n5. Substitute k = u + 13 to c, which gives c = u + 70.\n6. Substitute u = 2 to c, which gives c = 72.\n\nThus, the final answer is c = \\boxed{72}.",
"index": 21085,
"question": "Consider a system of variables where each variable is defined as follows: u = 2; b = g + 9; j = b + 7; k = u + 13; d = k + 18; r = v + 17; g = d + 5; h = r + 8; o = n + 11; c = j + 18; l = h + 8; n = l + 3; v = u + 2. If u = 2, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"e": "x + 13", "g": "e + 14", "a": "g + 17", "f": "a + 6", "o": "f + 5", "w": "o + 8", "l": "x + 18", "t": "l + 9", "k": "t + 14", "r": "k + 11", "j": "r + 2", "z": "j + 1", "x": 16}, "premises": {"x": 16}, "target": "w"}, "answer": {"steps": [["o", "f + 5", "f + 13"], ["f", "a + 6", "a + 19"], ["a", "g + 17", "g + 36"], ["g", "e + 14", "e + 50"], ["e", "x + 13", "x + 63"], ["x", 16, "79"]], "target_var_name": "w", "target_value": 79, "value_dict": {"x": 16}, "is_reverse": true}} | 21,086 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = k + 11; z = j + 1; l = x + 18; g = e + 14; j = r + 2; e = x + 13; k = t + 14; o = f + 5; a = g + 17; w = o + 8; t = l + 9; x = 16; f = a + 6. If x = 16, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = f + 5 to w, which gives w = f + 13.\n2. Substitute f = a + 6 to w, which gives w = a + 19.\n3. Substitute a = g + 17 to w, which gives w = g + 36.\n4. Substitute g = e + 14 to w, which gives w = e + 50.\n5. Substitute e = x + 13 to w, which gives w = x + 63.\n6. Substitute x = 16 to w, which gives w = 79.\n\nThus, the final answer is w = \\boxed{79}.",
"index": 21086,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = k + 11; z = j + 1; l = x + 18; g = e + 14; j = r + 2; e = x + 13; k = t + 14; o = f + 5; a = g + 17; w = o + 8; t = l + 9; x = 16; f = a + 6. If x = 16, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"o": "f + 6", "l": "o + 5", "u": "l + 7", "h": "u + 4", "t": "h + 5", "p": "t + 6", "b": "f + 1", "i": "b + 12", "y": "i + 4", "g": "y + 12", "a": "g + 18", "m": "a + 9", "f": 12}, "premises": {"f": 12}, "target": "p"}, "answer": {"steps": [["t", "h + 5", "h + 11"], ["h", "u + 4", "u + 15"], ["u", "l + 7", "l + 22"], ["l", "o + 5", "o + 27"], ["o", "f + 6", "f + 33"], ["f", 12, "45"]], "target_var_name": "p", "target_value": 45, "value_dict": {"f": 12}, "is_reverse": true}} | 21,087 | 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 + 5; g = y + 12; u = l + 7; m = a + 9; f = 12; t = h + 5; i = b + 12; p = t + 6; h = u + 4; a = g + 18; b = f + 1; o = f + 6; y = i + 4. If f = 12, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = h + 5 to p, which gives p = h + 11.\n2. Substitute h = u + 4 to p, which gives p = u + 15.\n3. Substitute u = l + 7 to p, which gives p = l + 22.\n4. Substitute l = o + 5 to p, which gives p = o + 27.\n5. Substitute o = f + 6 to p, which gives p = f + 33.\n6. Substitute f = 12 to p, which gives p = 45.\n\nThus, the final answer is p = \\boxed{45}.",
"index": 21087,
"question": "Consider a system of variables where each variable is defined as follows: l = o + 5; g = y + 12; u = l + 7; m = a + 9; f = 12; t = h + 5; i = b + 12; p = t + 6; h = u + 4; a = g + 18; b = f + 1; o = f + 6; y = i + 4. If f = 12, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"o": "c + 19", "y": "o + 9", "v": "y + 12", "u": "v + 8", "a": "u + 18", "s": "a + 17", "e": "c + 12", "w": "e + 3", "q": "w + 5", "i": "q + 9", "d": "i + 17", "t": "d + 15", "c": 18}, "premises": {"c": 18}, "target": "s"}, "answer": {"steps": [["a", "u + 18", "u + 35"], ["u", "v + 8", "v + 43"], ["v", "y + 12", "y + 55"], ["y", "o + 9", "o + 64"], ["o", "c + 19", "c + 83"], ["c", 18, "101"]], "target_var_name": "s", "target_value": 101, "value_dict": {"c": 18}, "is_reverse": true}} | 21,088 | 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 + 17; y = o + 9; e = c + 12; o = c + 19; i = q + 9; t = d + 15; u = v + 8; c = 18; v = y + 12; a = u + 18; w = e + 3; q = w + 5; d = i + 17. If c = 18, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = u + 18 to s, which gives s = u + 35.\n2. Substitute u = v + 8 to s, which gives s = v + 43.\n3. Substitute v = y + 12 to s, which gives s = y + 55.\n4. Substitute y = o + 9 to s, which gives s = o + 64.\n5. Substitute o = c + 19 to s, which gives s = c + 83.\n6. Substitute c = 18 to s, which gives s = 101.\n\nThus, the final answer is s = \\boxed{101}.",
"index": 21088,
"question": "Consider a system of variables where each variable is defined as follows: s = a + 17; y = o + 9; e = c + 12; o = c + 19; i = q + 9; t = d + 15; u = v + 8; c = 18; v = y + 12; a = u + 18; w = e + 3; q = w + 5; d = i + 17. If c = 18, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"c": "e + 2", "u": "c + 14", "f": "u + 9", "w": "f + 2", "b": "w + 11", "h": "b + 10", "v": "e + 15", "i": "v + 16", "a": "i + 19", "k": "a + 19", "l": "k + 3", "y": "l + 8", "e": 2}, "premises": {"e": 2}, "target": "h"}, "answer": {"steps": [["b", "w + 11", "w + 21"], ["w", "f + 2", "f + 23"], ["f", "u + 9", "u + 32"], ["u", "c + 14", "c + 46"], ["c", "e + 2", "e + 48"], ["e", 2, "50"]], "target_var_name": "h", "target_value": 50, "value_dict": {"e": 2}, "is_reverse": true}} | 21,089 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = e + 2; b = w + 11; h = b + 10; a = i + 19; y = l + 8; l = k + 3; k = a + 19; f = u + 9; v = e + 15; e = 2; u = c + 14; w = f + 2; i = v + 16. If e = 2, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = w + 11 to h, which gives h = w + 21.\n2. Substitute w = f + 2 to h, which gives h = f + 23.\n3. Substitute f = u + 9 to h, which gives h = u + 32.\n4. Substitute u = c + 14 to h, which gives h = c + 46.\n5. Substitute c = e + 2 to h, which gives h = e + 48.\n6. Substitute e = 2 to h, which gives h = 50.\n\nThus, the final answer is h = \\boxed{50}.",
"index": 21089,
"question": "Consider a system of variables where each variable is defined as follows: c = e + 2; b = w + 11; h = b + 10; a = i + 19; y = l + 8; l = k + 3; k = a + 19; f = u + 9; v = e + 15; e = 2; u = c + 14; w = f + 2; i = v + 16. If e = 2, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"e": "b + 20", "j": "e + 13", "m": "j + 7", "l": "m + 10", "p": "l + 18", "z": "p + 8", "g": "b + 9", "n": "g + 9", "f": "n + 1", "q": "f + 2", "d": "q + 8", "k": "d + 4", "b": 20}, "premises": {"b": 20}, "target": "z"}, "answer": {"steps": [["p", "l + 18", "l + 26"], ["l", "m + 10", "m + 36"], ["m", "j + 7", "j + 43"], ["j", "e + 13", "e + 56"], ["e", "b + 20", "b + 76"], ["b", 20, "96"]], "target_var_name": "z", "target_value": 96, "value_dict": {"b": 20}, "is_reverse": true}} | 21,090 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = p + 8; k = d + 4; f = n + 1; q = f + 2; g = b + 9; e = b + 20; b = 20; m = j + 7; p = l + 18; d = q + 8; n = g + 9; l = m + 10; j = e + 13. If b = 20, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = l + 18 to z, which gives z = l + 26.\n2. Substitute l = m + 10 to z, which gives z = m + 36.\n3. Substitute m = j + 7 to z, which gives z = j + 43.\n4. Substitute j = e + 13 to z, which gives z = e + 56.\n5. Substitute e = b + 20 to z, which gives z = b + 76.\n6. Substitute b = 20 to z, which gives z = 96.\n\nThus, the final answer is z = \\boxed{96}.",
"index": 21090,
"question": "Consider a system of variables where each variable is defined as follows: z = p + 8; k = d + 4; f = n + 1; q = f + 2; g = b + 9; e = b + 20; b = 20; m = j + 7; p = l + 18; d = q + 8; n = g + 9; l = m + 10; j = e + 13. If b = 20, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"j": "f + 8", "y": "j + 17", "t": "y + 11", "m": "t + 9", "s": "m + 1", "c": "s + 8", "k": "f + 13", "v": "k + 5", "d": "v + 11", "o": "d + 8", "e": "o + 1", "g": "e + 14", "f": 15}, "premises": {"f": 15}, "target": "c"}, "answer": {"steps": [["s", "m + 1", "m + 9"], ["m", "t + 9", "t + 18"], ["t", "y + 11", "y + 29"], ["y", "j + 17", "j + 46"], ["j", "f + 8", "f + 54"], ["f", 15, "69"]], "target_var_name": "c", "target_value": 69, "value_dict": {"f": 15}, "is_reverse": true}} | 21,091 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = o + 1; t = y + 11; k = f + 13; c = s + 8; m = t + 9; o = d + 8; f = 15; d = v + 11; j = f + 8; g = e + 14; v = k + 5; s = m + 1; y = j + 17. If f = 15, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = m + 1 to c, which gives c = m + 9.\n2. Substitute m = t + 9 to c, which gives c = t + 18.\n3. Substitute t = y + 11 to c, which gives c = y + 29.\n4. Substitute y = j + 17 to c, which gives c = j + 46.\n5. Substitute j = f + 8 to c, which gives c = f + 54.\n6. Substitute f = 15 to c, which gives c = 69.\n\nThus, the final answer is c = \\boxed{69}.",
"index": 21091,
"question": "Consider a system of variables where each variable is defined as follows: e = o + 1; t = y + 11; k = f + 13; c = s + 8; m = t + 9; o = d + 8; f = 15; d = v + 11; j = f + 8; g = e + 14; v = k + 5; s = m + 1; y = j + 17. If f = 15, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"d": "f + 11", "e": "d + 2", "r": "e + 3", "t": "r + 19", "n": "t + 8", "x": "n + 15", "y": "f + 8", "w": "y + 9", "v": "w + 2", "q": "v + 18", "g": "q + 3", "p": "g + 18", "f": 13}, "premises": {"f": 13}, "target": "x"}, "answer": {"steps": [["n", "t + 8", "t + 23"], ["t", "r + 19", "r + 42"], ["r", "e + 3", "e + 45"], ["e", "d + 2", "d + 47"], ["d", "f + 11", "f + 58"], ["f", 13, "71"]], "target_var_name": "x", "target_value": 71, "value_dict": {"f": 13}, "is_reverse": true}} | 21,092 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = t + 8; x = n + 15; p = g + 18; w = y + 9; d = f + 11; v = w + 2; e = d + 2; y = f + 8; g = q + 3; f = 13; q = v + 18; r = e + 3; t = r + 19. If f = 13, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = t + 8 to x, which gives x = t + 23.\n2. Substitute t = r + 19 to x, which gives x = r + 42.\n3. Substitute r = e + 3 to x, which gives x = e + 45.\n4. Substitute e = d + 2 to x, which gives x = d + 47.\n5. Substitute d = f + 11 to x, which gives x = f + 58.\n6. Substitute f = 13 to x, which gives x = 71.\n\nThus, the final answer is x = \\boxed{71}.",
"index": 21092,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = t + 8; x = n + 15; p = g + 18; w = y + 9; d = f + 11; v = w + 2; e = d + 2; y = f + 8; g = q + 3; f = 13; q = v + 18; r = e + 3; t = r + 19. If f = 13, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"e": "h + 5", "d": "e + 13", "o": "d + 1", "g": "o + 20", "c": "g + 20", "a": "c + 20", "v": "h + 9", "n": "v + 20", "f": "n + 11", "l": "f + 18", "t": "l + 4", "k": "t + 11", "h": 2}, "premises": {"h": 2}, "target": "a"}, "answer": {"steps": [["c", "g + 20", "g + 40"], ["g", "o + 20", "o + 60"], ["o", "d + 1", "d + 61"], ["d", "e + 13", "e + 74"], ["e", "h + 5", "h + 79"], ["h", 2, "81"]], "target_var_name": "a", "target_value": 81, "value_dict": {"h": 2}, "is_reverse": true}} | 21,093 | 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 = h + 9; l = f + 18; a = c + 20; h = 2; t = l + 4; k = t + 11; d = e + 13; c = g + 20; g = o + 20; f = n + 11; e = h + 5; o = d + 1; n = v + 20. If h = 2, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = g + 20 to a, which gives a = g + 40.\n2. Substitute g = o + 20 to a, which gives a = o + 60.\n3. Substitute o = d + 1 to a, which gives a = d + 61.\n4. Substitute d = e + 13 to a, which gives a = e + 74.\n5. Substitute e = h + 5 to a, which gives a = h + 79.\n6. Substitute h = 2 to a, which gives a = 81.\n\nThus, the final answer is a = \\boxed{81}.",
"index": 21093,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = h + 9; l = f + 18; a = c + 20; h = 2; t = l + 4; k = t + 11; d = e + 13; c = g + 20; g = o + 20; f = n + 11; e = h + 5; o = d + 1; n = v + 20. If h = 2, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"d": "v + 20", "t": "d + 9", "c": "t + 2", "l": "c + 9", "g": "l + 17", "k": "g + 6", "b": "v + 3", "n": "b + 5", "u": "n + 4", "z": "u + 7", "o": "z + 9", "i": "o + 19", "v": 2}, "premises": {"v": 2}, "target": "k"}, "answer": {"steps": [["g", "l + 17", "l + 23"], ["l", "c + 9", "c + 32"], ["c", "t + 2", "t + 34"], ["t", "d + 9", "d + 43"], ["d", "v + 20", "v + 63"], ["v", 2, "65"]], "target_var_name": "k", "target_value": 65, "value_dict": {"v": 2}, "is_reverse": true}} | 21,094 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = b + 5; u = n + 4; z = u + 7; c = t + 2; v = 2; t = d + 9; k = g + 6; d = v + 20; o = z + 9; l = c + 9; g = l + 17; b = v + 3; i = o + 19. Given that v = 2, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = l + 17 to k, which gives k = l + 23.\n2. Substitute l = c + 9 to k, which gives k = c + 32.\n3. Substitute c = t + 2 to k, which gives k = t + 34.\n4. Substitute t = d + 9 to k, which gives k = d + 43.\n5. Substitute d = v + 20 to k, which gives k = v + 63.\n6. Substitute v = 2 to k, which gives k = 65.\n\nThus, the final answer is k = \\boxed{65}.",
"index": 21094,
"question": "Suppose a collection of variables is related by the following definitions: n = b + 5; u = n + 4; z = u + 7; c = t + 2; v = 2; t = d + 9; k = g + 6; d = v + 20; o = z + 9; l = c + 9; g = l + 17; b = v + 3; i = o + 19. Given that v = 2, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"n": "p + 13", "h": "n + 20", "g": "h + 1", "w": "g + 6", "r": "w + 9", "e": "r + 8", "t": "p + 7", "z": "t + 18", "y": "z + 7", "k": "y + 18", "l": "k + 4", "j": "l + 9", "p": 8}, "premises": {"p": 8}, "target": "e"}, "answer": {"steps": [["r", "w + 9", "w + 17"], ["w", "g + 6", "g + 23"], ["g", "h + 1", "h + 24"], ["h", "n + 20", "n + 44"], ["n", "p + 13", "p + 57"], ["p", 8, "65"]], "target_var_name": "e", "target_value": 65, "value_dict": {"p": 8}, "is_reverse": true}} | 21,095 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = k + 4; r = w + 9; y = z + 7; g = h + 1; w = g + 6; e = r + 8; p = 8; j = l + 9; n = p + 13; k = y + 18; z = t + 18; h = n + 20; t = p + 7. If p = 8, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = w + 9 to e, which gives e = w + 17.\n2. Substitute w = g + 6 to e, which gives e = g + 23.\n3. Substitute g = h + 1 to e, which gives e = h + 24.\n4. Substitute h = n + 20 to e, which gives e = n + 44.\n5. Substitute n = p + 13 to e, which gives e = p + 57.\n6. Substitute p = 8 to e, which gives e = 65.\n\nThus, the final answer is e = \\boxed{65}.",
"index": 21095,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = k + 4; r = w + 9; y = z + 7; g = h + 1; w = g + 6; e = r + 8; p = 8; j = l + 9; n = p + 13; k = y + 18; z = t + 18; h = n + 20; t = p + 7. If p = 8, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"r": "d + 5", "q": "r + 17", "y": "q + 6", "t": "y + 18", "b": "t + 14", "v": "b + 5", "f": "d + 19", "m": "f + 18", "a": "m + 8", "k": "a + 17", "n": "k + 7", "e": "n + 7", "d": 1}, "premises": {"d": 1}, "target": "v"}, "answer": {"steps": [["b", "t + 14", "t + 19"], ["t", "y + 18", "y + 37"], ["y", "q + 6", "q + 43"], ["q", "r + 17", "r + 60"], ["r", "d + 5", "d + 65"], ["d", 1, "66"]], "target_var_name": "v", "target_value": 66, "value_dict": {"d": 1}, "is_reverse": true}} | 21,096 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = t + 14; v = b + 5; r = d + 5; q = r + 17; m = f + 18; e = n + 7; d = 1; y = q + 6; a = m + 8; n = k + 7; k = a + 17; t = y + 18; f = d + 19. Given that d = 1, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = t + 14 to v, which gives v = t + 19.\n2. Substitute t = y + 18 to v, which gives v = y + 37.\n3. Substitute y = q + 6 to v, which gives v = q + 43.\n4. Substitute q = r + 17 to v, which gives v = r + 60.\n5. Substitute r = d + 5 to v, which gives v = d + 65.\n6. Substitute d = 1 to v, which gives v = 66.\n\nThus, the final answer is v = \\boxed{66}.",
"index": 21096,
"question": "Suppose a collection of variables is related by the following definitions: b = t + 14; v = b + 5; r = d + 5; q = r + 17; m = f + 18; e = n + 7; d = 1; y = q + 6; a = m + 8; n = k + 7; k = a + 17; t = y + 18; f = d + 19. Given that d = 1, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"x": "o + 20", "v": "x + 4", "a": "v + 5", "z": "a + 4", "w": "z + 7", "q": "w + 11", "f": "o + 20", "p": "f + 16", "n": "p + 18", "s": "n + 19", "e": "s + 10", "t": "e + 5", "o": 7}, "premises": {"o": 7}, "target": "q"}, "answer": {"steps": [["w", "z + 7", "z + 18"], ["z", "a + 4", "a + 22"], ["a", "v + 5", "v + 27"], ["v", "x + 4", "x + 31"], ["x", "o + 20", "o + 51"], ["o", 7, "58"]], "target_var_name": "q", "target_value": 58, "value_dict": {"o": 7}, "is_reverse": true}} | 21,097 | 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 = o + 20; n = p + 18; v = x + 4; s = n + 19; w = z + 7; e = s + 10; o = 7; z = a + 4; t = e + 5; p = f + 16; x = o + 20; a = v + 5; q = w + 11. If o = 7, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = z + 7 to q, which gives q = z + 18.\n2. Substitute z = a + 4 to q, which gives q = a + 22.\n3. Substitute a = v + 5 to q, which gives q = v + 27.\n4. Substitute v = x + 4 to q, which gives q = x + 31.\n5. Substitute x = o + 20 to q, which gives q = o + 51.\n6. Substitute o = 7 to q, which gives q = 58.\n\nThus, the final answer is q = \\boxed{58}.",
"index": 21097,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = o + 20; n = p + 18; v = x + 4; s = n + 19; w = z + 7; e = s + 10; o = 7; z = a + 4; t = e + 5; p = f + 16; x = o + 20; a = v + 5; q = w + 11. If o = 7, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"g": "x + 8", "o": "g + 8", "s": "o + 1", "m": "s + 2", "l": "m + 5", "y": "l + 1", "e": "x + 4", "k": "e + 3", "a": "k + 12", "b": "a + 13", "w": "b + 2", "v": "w + 2", "x": 20}, "premises": {"x": 20}, "target": "y"}, "answer": {"steps": [["l", "m + 5", "m + 6"], ["m", "s + 2", "s + 8"], ["s", "o + 1", "o + 9"], ["o", "g + 8", "g + 17"], ["g", "x + 8", "x + 25"], ["x", 20, "45"]], "target_var_name": "y", "target_value": 45, "value_dict": {"x": 20}, "is_reverse": true}} | 21,098 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = o + 1; y = l + 1; x = 20; o = g + 8; e = x + 4; v = w + 2; l = m + 5; a = k + 12; w = b + 2; m = s + 2; b = a + 13; g = x + 8; k = e + 3. Given that x = 20, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = m + 5 to y, which gives y = m + 6.\n2. Substitute m = s + 2 to y, which gives y = s + 8.\n3. Substitute s = o + 1 to y, which gives y = o + 9.\n4. Substitute o = g + 8 to y, which gives y = g + 17.\n5. Substitute g = x + 8 to y, which gives y = x + 25.\n6. Substitute x = 20 to y, which gives y = 45.\n\nThus, the final answer is y = \\boxed{45}.",
"index": 21098,
"question": "Suppose a collection of variables is related by the following definitions: s = o + 1; y = l + 1; x = 20; o = g + 8; e = x + 4; v = w + 2; l = m + 5; a = k + 12; w = b + 2; m = s + 2; b = a + 13; g = x + 8; k = e + 3. Given that x = 20, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"p": "n + 16", "y": "p + 10", "u": "y + 20", "i": "u + 7", "z": "i + 3", "v": "z + 8", "t": "n + 17", "b": "t + 1", "x": "b + 17", "d": "x + 4", "c": "d + 19", "q": "c + 10", "n": 17}, "premises": {"n": 17}, "target": "v"}, "answer": {"steps": [["z", "i + 3", "i + 11"], ["i", "u + 7", "u + 18"], ["u", "y + 20", "y + 38"], ["y", "p + 10", "p + 48"], ["p", "n + 16", "n + 64"], ["n", 17, "81"]], "target_var_name": "v", "target_value": 81, "value_dict": {"n": 17}, "is_reverse": true}} | 21,099 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = u + 7; y = p + 10; d = x + 4; p = n + 16; z = i + 3; u = y + 20; t = n + 17; c = d + 19; v = z + 8; n = 17; q = c + 10; x = b + 17; b = t + 1. Given that n = 17, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = i + 3 to v, which gives v = i + 11.\n2. Substitute i = u + 7 to v, which gives v = u + 18.\n3. Substitute u = y + 20 to v, which gives v = y + 38.\n4. Substitute y = p + 10 to v, which gives v = p + 48.\n5. Substitute p = n + 16 to v, which gives v = n + 64.\n6. Substitute n = 17 to v, which gives v = 81.\n\nThus, the final answer is v = \\boxed{81}.",
"index": 21099,
"question": "Suppose a collection of variables is related by the following definitions: i = u + 7; y = p + 10; d = x + 4; p = n + 16; z = i + 3; u = y + 20; t = n + 17; c = d + 19; v = z + 8; n = 17; q = c + 10; x = b + 17; b = t + 1. Given that n = 17, find the value of v.",
"split": "train"
} |
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