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": {"h": "v + 7", "w": "h + 2", "y": "w + 14", "r": "y + 2", "s": "r + 6", "e": "s + 18", "o": "v + 4", "i": "o + 14", "g": "i + 18", "x": "g + 1", "b": "x + 10", "d": "b + 19", "v": 18}, "premises": {"v": 18}, "target": "e"}, "answer": {"steps": [["s", "r + 6", "r + 24"], ["r", "y + 2", "y + 26"], ["y", "w + 14", "w + 40"], ["w", "h + 2", "h + 42"], ["h", "v + 7", "v + 49"], ["v", 18, "67"]], "target_var_name": "e", "target_value": 67, "value_dict": {"v": 18}, "is_reverse": true}} | 20,600 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = g + 1; v = 18; r = y + 2; h = v + 7; d = b + 19; w = h + 2; e = s + 18; s = r + 6; b = x + 10; g = i + 18; y = w + 14; i = o + 14; o = v + 4. If v = 18, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = r + 6 to e, which gives e = r + 24.\n2. Substitute r = y + 2 to e, which gives e = y + 26.\n3. Substitute y = w + 14 to e, which gives e = w + 40.\n4. Substitute w = h + 2 to e, which gives e = h + 42.\n5. Substitute h = v + 7 to e, which gives e = v + 49.\n6. Substitute v = 18 to e, which gives e = 67.\n\nThus, the final answer is e = \\boxed{67}.",
"index": 20600,
"question": "Consider a system of variables where each variable is defined as follows: x = g + 1; v = 18; r = y + 2; h = v + 7; d = b + 19; w = h + 2; e = s + 18; s = r + 6; b = x + 10; g = i + 18; y = w + 14; i = o + 14; o = v + 4. If v = 18, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"a": "n + 20", "s": "a + 18", "e": "s + 10", "y": "e + 6", "l": "y + 14", "h": "l + 11", "i": "n + 15", "o": "i + 19", "x": "o + 18", "r": "x + 1", "m": "r + 1", "f": "m + 9", "n": 10}, "premises": {"n": 10}, "target": "h"}, "answer": {"steps": [["l", "y + 14", "y + 25"], ["y", "e + 6", "e + 31"], ["e", "s + 10", "s + 41"], ["s", "a + 18", "a + 59"], ["a", "n + 20", "n + 79"], ["n", 10, "89"]], "target_var_name": "h", "target_value": 89, "value_dict": {"n": 10}, "is_reverse": true}} | 20,601 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = r + 1; x = o + 18; s = a + 18; o = i + 19; a = n + 20; y = e + 6; n = 10; r = x + 1; l = y + 14; h = l + 11; e = s + 10; f = m + 9; i = n + 15. If n = 10, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = y + 14 to h, which gives h = y + 25.\n2. Substitute y = e + 6 to h, which gives h = e + 31.\n3. Substitute e = s + 10 to h, which gives h = s + 41.\n4. Substitute s = a + 18 to h, which gives h = a + 59.\n5. Substitute a = n + 20 to h, which gives h = n + 79.\n6. Substitute n = 10 to h, which gives h = 89.\n\nThus, the final answer is h = \\boxed{89}.",
"index": 20601,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = r + 1; x = o + 18; s = a + 18; o = i + 19; a = n + 20; y = e + 6; n = 10; r = x + 1; l = y + 14; h = l + 11; e = s + 10; f = m + 9; i = n + 15. If n = 10, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"e": "p + 5", "f": "e + 14", "m": "f + 7", "d": "m + 13", "c": "d + 2", "n": "c + 10", "b": "p + 18", "j": "b + 7", "o": "j + 20", "x": "o + 10", "v": "x + 12", "r": "v + 5", "p": 6}, "premises": {"p": 6}, "target": "n"}, "answer": {"steps": [["c", "d + 2", "d + 12"], ["d", "m + 13", "m + 25"], ["m", "f + 7", "f + 32"], ["f", "e + 14", "e + 46"], ["e", "p + 5", "p + 51"], ["p", 6, "57"]], "target_var_name": "n", "target_value": 57, "value_dict": {"p": 6}, "is_reverse": true}} | 20,602 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = j + 20; f = e + 14; b = p + 18; e = p + 5; j = b + 7; v = x + 12; x = o + 10; r = v + 5; m = f + 7; p = 6; n = c + 10; d = m + 13; c = d + 2. Given that p = 6, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = d + 2 to n, which gives n = d + 12.\n2. Substitute d = m + 13 to n, which gives n = m + 25.\n3. Substitute m = f + 7 to n, which gives n = f + 32.\n4. Substitute f = e + 14 to n, which gives n = e + 46.\n5. Substitute e = p + 5 to n, which gives n = p + 51.\n6. Substitute p = 6 to n, which gives n = 57.\n\nThus, the final answer is n = \\boxed{57}.",
"index": 20602,
"question": "Suppose a collection of variables is related by the following definitions: o = j + 20; f = e + 14; b = p + 18; e = p + 5; j = b + 7; v = x + 12; x = o + 10; r = v + 5; m = f + 7; p = 6; n = c + 10; d = m + 13; c = d + 2. Given that p = 6, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"s": "d + 1", "n": "s + 7", "k": "n + 9", "g": "k + 20", "h": "g + 12", "j": "h + 8", "z": "d + 20", "p": "z + 5", "f": "p + 3", "u": "f + 10", "r": "u + 13", "i": "r + 3", "d": 4}, "premises": {"d": 4}, "target": "j"}, "answer": {"steps": [["h", "g + 12", "g + 20"], ["g", "k + 20", "k + 40"], ["k", "n + 9", "n + 49"], ["n", "s + 7", "s + 56"], ["s", "d + 1", "d + 57"], ["d", 4, "61"]], "target_var_name": "j", "target_value": 61, "value_dict": {"d": 4}, "is_reverse": true}} | 20,603 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = d + 1; z = d + 20; f = p + 3; u = f + 10; g = k + 20; d = 4; j = h + 8; i = r + 3; h = g + 12; p = z + 5; n = s + 7; r = u + 13; k = n + 9. Given that d = 4, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = g + 12 to j, which gives j = g + 20.\n2. Substitute g = k + 20 to j, which gives j = k + 40.\n3. Substitute k = n + 9 to j, which gives j = n + 49.\n4. Substitute n = s + 7 to j, which gives j = s + 56.\n5. Substitute s = d + 1 to j, which gives j = d + 57.\n6. Substitute d = 4 to j, which gives j = 61.\n\nThus, the final answer is j = \\boxed{61}.",
"index": 20603,
"question": "Suppose a collection of variables is related by the following definitions: s = d + 1; z = d + 20; f = p + 3; u = f + 10; g = k + 20; d = 4; j = h + 8; i = r + 3; h = g + 12; p = z + 5; n = s + 7; r = u + 13; k = n + 9. Given that d = 4, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"m": "c + 15", "b": "m + 13", "h": "b + 17", "s": "h + 9", "j": "s + 14", "z": "j + 12", "n": "c + 20", "e": "n + 14", "r": "e + 17", "y": "r + 11", "x": "y + 4", "q": "x + 3", "c": 12}, "premises": {"c": 12}, "target": "z"}, "answer": {"steps": [["j", "s + 14", "s + 26"], ["s", "h + 9", "h + 35"], ["h", "b + 17", "b + 52"], ["b", "m + 13", "m + 65"], ["m", "c + 15", "c + 80"], ["c", 12, "92"]], "target_var_name": "z", "target_value": 92, "value_dict": {"c": 12}, "is_reverse": true}} | 20,604 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = y + 4; e = n + 14; c = 12; y = r + 11; b = m + 13; r = e + 17; j = s + 14; m = c + 15; q = x + 3; h = b + 17; n = c + 20; s = h + 9; z = j + 12. Given that c = 12, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = s + 14 to z, which gives z = s + 26.\n2. Substitute s = h + 9 to z, which gives z = h + 35.\n3. Substitute h = b + 17 to z, which gives z = b + 52.\n4. Substitute b = m + 13 to z, which gives z = m + 65.\n5. Substitute m = c + 15 to z, which gives z = c + 80.\n6. Substitute c = 12 to z, which gives z = 92.\n\nThus, the final answer is z = \\boxed{92}.",
"index": 20604,
"question": "Suppose a collection of variables is related by the following definitions: x = y + 4; e = n + 14; c = 12; y = r + 11; b = m + 13; r = e + 17; j = s + 14; m = c + 15; q = x + 3; h = b + 17; n = c + 20; s = h + 9; z = j + 12. Given that c = 12, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"q": "g + 18", "h": "q + 9", "i": "h + 13", "z": "i + 2", "d": "z + 16", "f": "d + 4", "b": "g + 9", "y": "b + 7", "u": "y + 7", "c": "u + 19", "m": "c + 15", "n": "m + 9", "g": 5}, "premises": {"g": 5}, "target": "f"}, "answer": {"steps": [["d", "z + 16", "z + 20"], ["z", "i + 2", "i + 22"], ["i", "h + 13", "h + 35"], ["h", "q + 9", "q + 44"], ["q", "g + 18", "g + 62"], ["g", 5, "67"]], "target_var_name": "f", "target_value": 67, "value_dict": {"g": 5}, "is_reverse": true}} | 20,605 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = y + 7; h = q + 9; y = b + 7; q = g + 18; g = 5; z = i + 2; i = h + 13; c = u + 19; d = z + 16; b = g + 9; n = m + 9; m = c + 15; f = d + 4. If g = 5, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = z + 16 to f, which gives f = z + 20.\n2. Substitute z = i + 2 to f, which gives f = i + 22.\n3. Substitute i = h + 13 to f, which gives f = h + 35.\n4. Substitute h = q + 9 to f, which gives f = q + 44.\n5. Substitute q = g + 18 to f, which gives f = g + 62.\n6. Substitute g = 5 to f, which gives f = 67.\n\nThus, the final answer is f = \\boxed{67}.",
"index": 20605,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = y + 7; h = q + 9; y = b + 7; q = g + 18; g = 5; z = i + 2; i = h + 13; c = u + 19; d = z + 16; b = g + 9; n = m + 9; m = c + 15; f = d + 4. If g = 5, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"t": "u + 20", "h": "t + 14", "a": "h + 10", "p": "a + 19", "k": "p + 9", "d": "k + 10", "n": "u + 16", "z": "n + 5", "c": "z + 17", "y": "c + 15", "j": "y + 18", "l": "j + 2", "u": 18}, "premises": {"u": 18}, "target": "d"}, "answer": {"steps": [["k", "p + 9", "p + 19"], ["p", "a + 19", "a + 38"], ["a", "h + 10", "h + 48"], ["h", "t + 14", "t + 62"], ["t", "u + 20", "u + 82"], ["u", 18, "100"]], "target_var_name": "d", "target_value": 100, "value_dict": {"u": 18}, "is_reverse": true}} | 20,606 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = k + 10; k = p + 9; y = c + 15; n = u + 16; z = n + 5; l = j + 2; u = 18; h = t + 14; a = h + 10; c = z + 17; t = u + 20; j = y + 18; p = a + 19. If u = 18, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = p + 9 to d, which gives d = p + 19.\n2. Substitute p = a + 19 to d, which gives d = a + 38.\n3. Substitute a = h + 10 to d, which gives d = h + 48.\n4. Substitute h = t + 14 to d, which gives d = t + 62.\n5. Substitute t = u + 20 to d, which gives d = u + 82.\n6. Substitute u = 18 to d, which gives d = 100.\n\nThus, the final answer is d = \\boxed{100}.",
"index": 20606,
"question": "Consider a system of variables where each variable is defined as follows: d = k + 10; k = p + 9; y = c + 15; n = u + 16; z = n + 5; l = j + 2; u = 18; h = t + 14; a = h + 10; c = z + 17; t = u + 20; j = y + 18; p = a + 19. If u = 18, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"y": "u + 20", "z": "y + 19", "g": "z + 2", "d": "g + 18", "h": "d + 5", "l": "h + 13", "b": "u + 13", "k": "b + 15", "q": "k + 7", "n": "q + 18", "v": "n + 15", "m": "v + 4", "u": 11}, "premises": {"u": 11}, "target": "l"}, "answer": {"steps": [["h", "d + 5", "d + 18"], ["d", "g + 18", "g + 36"], ["g", "z + 2", "z + 38"], ["z", "y + 19", "y + 57"], ["y", "u + 20", "u + 77"], ["u", 11, "88"]], "target_var_name": "l", "target_value": 88, "value_dict": {"u": 11}, "is_reverse": true}} | 20,607 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = z + 2; z = y + 19; u = 11; v = n + 15; m = v + 4; k = b + 15; l = h + 13; y = u + 20; b = u + 13; n = q + 18; h = d + 5; q = k + 7; d = g + 18. Given that u = 11, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = d + 5 to l, which gives l = d + 18.\n2. Substitute d = g + 18 to l, which gives l = g + 36.\n3. Substitute g = z + 2 to l, which gives l = z + 38.\n4. Substitute z = y + 19 to l, which gives l = y + 57.\n5. Substitute y = u + 20 to l, which gives l = u + 77.\n6. Substitute u = 11 to l, which gives l = 88.\n\nThus, the final answer is l = \\boxed{88}.",
"index": 20607,
"question": "Suppose a collection of variables is related by the following definitions: g = z + 2; z = y + 19; u = 11; v = n + 15; m = v + 4; k = b + 15; l = h + 13; y = u + 20; b = u + 13; n = q + 18; h = d + 5; q = k + 7; d = g + 18. Given that u = 11, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"g": "a + 6", "h": "g + 15", "q": "h + 6", "r": "q + 8", "y": "r + 16", "z": "y + 13", "l": "a + 11", "w": "l + 5", "v": "w + 12", "s": "v + 15", "f": "s + 9", "e": "f + 11", "a": 16}, "premises": {"a": 16}, "target": "z"}, "answer": {"steps": [["y", "r + 16", "r + 29"], ["r", "q + 8", "q + 37"], ["q", "h + 6", "h + 43"], ["h", "g + 15", "g + 58"], ["g", "a + 6", "a + 64"], ["a", 16, "80"]], "target_var_name": "z", "target_value": 80, "value_dict": {"a": 16}, "is_reverse": true}} | 20,608 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = a + 11; e = f + 11; a = 16; z = y + 13; r = q + 8; w = l + 5; s = v + 15; f = s + 9; q = h + 6; h = g + 15; v = w + 12; g = a + 6; y = r + 16. If a = 16, what is the resulting 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 y = r + 16 to z, which gives z = r + 29.\n2. Substitute r = q + 8 to z, which gives z = q + 37.\n3. Substitute q = h + 6 to z, which gives z = h + 43.\n4. Substitute h = g + 15 to z, which gives z = g + 58.\n5. Substitute g = a + 6 to z, which gives z = a + 64.\n6. Substitute a = 16 to z, which gives z = 80.\n\nThus, the final answer is z = \\boxed{80}.",
"index": 20608,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = a + 11; e = f + 11; a = 16; z = y + 13; r = q + 8; w = l + 5; s = v + 15; f = s + 9; q = h + 6; h = g + 15; v = w + 12; g = a + 6; y = r + 16. If a = 16, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"y": "b + 10", "l": "y + 2", "e": "l + 20", "o": "e + 5", "f": "o + 7", "p": "f + 10", "i": "b + 3", "k": "i + 6", "x": "k + 19", "v": "x + 11", "z": "v + 20", "h": "z + 8", "b": 17}, "premises": {"b": 17}, "target": "p"}, "answer": {"steps": [["f", "o + 7", "o + 17"], ["o", "e + 5", "e + 22"], ["e", "l + 20", "l + 42"], ["l", "y + 2", "y + 44"], ["y", "b + 10", "b + 54"], ["b", 17, "71"]], "target_var_name": "p", "target_value": 71, "value_dict": {"b": 17}, "is_reverse": true}} | 20,609 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = f + 10; i = b + 3; e = l + 20; y = b + 10; b = 17; h = z + 8; o = e + 5; f = o + 7; x = k + 19; v = x + 11; l = y + 2; z = v + 20; k = i + 6. Given that b = 17, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = o + 7 to p, which gives p = o + 17.\n2. Substitute o = e + 5 to p, which gives p = e + 22.\n3. Substitute e = l + 20 to p, which gives p = l + 42.\n4. Substitute l = y + 2 to p, which gives p = y + 44.\n5. Substitute y = b + 10 to p, which gives p = b + 54.\n6. Substitute b = 17 to p, which gives p = 71.\n\nThus, the final answer is p = \\boxed{71}.",
"index": 20609,
"question": "Suppose a collection of variables is related by the following definitions: p = f + 10; i = b + 3; e = l + 20; y = b + 10; b = 17; h = z + 8; o = e + 5; f = o + 7; x = k + 19; v = x + 11; l = y + 2; z = v + 20; k = i + 6. Given that b = 17, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"w": "c + 6", "d": "w + 10", "e": "d + 20", "s": "e + 14", "l": "s + 2", "a": "l + 15", "q": "c + 17", "z": "q + 3", "f": "z + 11", "v": "f + 2", "h": "v + 7", "b": "h + 5", "c": 2}, "premises": {"c": 2}, "target": "a"}, "answer": {"steps": [["l", "s + 2", "s + 17"], ["s", "e + 14", "e + 31"], ["e", "d + 20", "d + 51"], ["d", "w + 10", "w + 61"], ["w", "c + 6", "c + 67"], ["c", 2, "69"]], "target_var_name": "a", "target_value": 69, "value_dict": {"c": 2}, "is_reverse": true}} | 20,610 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = c + 17; z = q + 3; f = z + 11; d = w + 10; a = l + 15; s = e + 14; h = v + 7; e = d + 20; w = c + 6; b = h + 5; c = 2; v = f + 2; l = s + 2. If c = 2, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = s + 2 to a, which gives a = s + 17.\n2. Substitute s = e + 14 to a, which gives a = e + 31.\n3. Substitute e = d + 20 to a, which gives a = d + 51.\n4. Substitute d = w + 10 to a, which gives a = w + 61.\n5. Substitute w = c + 6 to a, which gives a = c + 67.\n6. Substitute c = 2 to a, which gives a = 69.\n\nThus, the final answer is a = \\boxed{69}.",
"index": 20610,
"question": "Consider a system of variables where each variable is defined as follows: q = c + 17; z = q + 3; f = z + 11; d = w + 10; a = l + 15; s = e + 14; h = v + 7; e = d + 20; w = c + 6; b = h + 5; c = 2; v = f + 2; l = s + 2. If c = 2, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"d": "r + 6", "t": "d + 4", "w": "t + 15", "g": "w + 15", "u": "g + 19", "v": "u + 8", "s": "r + 12", "i": "s + 4", "k": "i + 13", "m": "k + 7", "q": "m + 4", "h": "q + 14", "r": 10}, "premises": {"r": 10}, "target": "v"}, "answer": {"steps": [["u", "g + 19", "g + 27"], ["g", "w + 15", "w + 42"], ["w", "t + 15", "t + 57"], ["t", "d + 4", "d + 61"], ["d", "r + 6", "r + 67"], ["r", 10, "77"]], "target_var_name": "v", "target_value": 77, "value_dict": {"r": 10}, "is_reverse": true}} | 20,611 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = t + 15; m = k + 7; g = w + 15; v = u + 8; d = r + 6; h = q + 14; q = m + 4; t = d + 4; s = r + 12; i = s + 4; k = i + 13; u = g + 19; r = 10. If r = 10, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = g + 19 to v, which gives v = g + 27.\n2. Substitute g = w + 15 to v, which gives v = w + 42.\n3. Substitute w = t + 15 to v, which gives v = t + 57.\n4. Substitute t = d + 4 to v, which gives v = d + 61.\n5. Substitute d = r + 6 to v, which gives v = r + 67.\n6. Substitute r = 10 to v, which gives v = 77.\n\nThus, the final answer is v = \\boxed{77}.",
"index": 20611,
"question": "Consider a system of variables where each variable is defined as follows: w = t + 15; m = k + 7; g = w + 15; v = u + 8; d = r + 6; h = q + 14; q = m + 4; t = d + 4; s = r + 12; i = s + 4; k = i + 13; u = g + 19; r = 10. If r = 10, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"a": "z + 13", "w": "a + 10", "d": "w + 7", "e": "d + 11", "n": "e + 2", "p": "n + 11", "j": "z + 10", "r": "j + 7", "v": "r + 16", "y": "v + 10", "t": "y + 4", "c": "t + 11", "z": 17}, "premises": {"z": 17}, "target": "p"}, "answer": {"steps": [["n", "e + 2", "e + 13"], ["e", "d + 11", "d + 24"], ["d", "w + 7", "w + 31"], ["w", "a + 10", "a + 41"], ["a", "z + 13", "z + 54"], ["z", 17, "71"]], "target_var_name": "p", "target_value": 71, "value_dict": {"z": 17}, "is_reverse": true}} | 20,612 | 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 = 17; t = y + 4; w = a + 10; r = j + 7; c = t + 11; p = n + 11; n = e + 2; a = z + 13; e = d + 11; y = v + 10; v = r + 16; d = w + 7; j = z + 10. If z = 17, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = e + 2 to p, which gives p = e + 13.\n2. Substitute e = d + 11 to p, which gives p = d + 24.\n3. Substitute d = w + 7 to p, which gives p = w + 31.\n4. Substitute w = a + 10 to p, which gives p = a + 41.\n5. Substitute a = z + 13 to p, which gives p = z + 54.\n6. Substitute z = 17 to p, which gives p = 71.\n\nThus, the final answer is p = \\boxed{71}.",
"index": 20612,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = 17; t = y + 4; w = a + 10; r = j + 7; c = t + 11; p = n + 11; n = e + 2; a = z + 13; e = d + 11; y = v + 10; v = r + 16; d = w + 7; j = z + 10. If z = 17, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"w": "u + 17", "d": "w + 8", "a": "d + 1", "j": "a + 1", "o": "j + 18", "n": "o + 3", "l": "u + 14", "i": "l + 4", "b": "i + 7", "z": "b + 15", "t": "z + 2", "q": "t + 3", "u": 13}, "premises": {"u": 13}, "target": "n"}, "answer": {"steps": [["o", "j + 18", "j + 21"], ["j", "a + 1", "a + 22"], ["a", "d + 1", "d + 23"], ["d", "w + 8", "w + 31"], ["w", "u + 17", "u + 48"], ["u", 13, "61"]], "target_var_name": "n", "target_value": 61, "value_dict": {"u": 13}, "is_reverse": true}} | 20,613 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = a + 1; i = l + 4; z = b + 15; w = u + 17; q = t + 3; b = i + 7; n = o + 3; t = z + 2; a = d + 1; l = u + 14; o = j + 18; u = 13; d = w + 8. If u = 13, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = j + 18 to n, which gives n = j + 21.\n2. Substitute j = a + 1 to n, which gives n = a + 22.\n3. Substitute a = d + 1 to n, which gives n = d + 23.\n4. Substitute d = w + 8 to n, which gives n = w + 31.\n5. Substitute w = u + 17 to n, which gives n = u + 48.\n6. Substitute u = 13 to n, which gives n = 61.\n\nThus, the final answer is n = \\boxed{61}.",
"index": 20613,
"question": "Consider a system of variables where each variable is defined as follows: j = a + 1; i = l + 4; z = b + 15; w = u + 17; q = t + 3; b = i + 7; n = o + 3; t = z + 2; a = d + 1; l = u + 14; o = j + 18; u = 13; d = w + 8. If u = 13, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"n": "r + 4", "g": "n + 11", "e": "g + 7", "v": "e + 13", "a": "v + 6", "y": "a + 5", "s": "r + 15", "b": "s + 16", "z": "b + 12", "u": "z + 17", "d": "u + 13", "w": "d + 13", "r": 14}, "premises": {"r": 14}, "target": "y"}, "answer": {"steps": [["a", "v + 6", "v + 11"], ["v", "e + 13", "e + 24"], ["e", "g + 7", "g + 31"], ["g", "n + 11", "n + 42"], ["n", "r + 4", "r + 46"], ["r", 14, "60"]], "target_var_name": "y", "target_value": 60, "value_dict": {"r": 14}, "is_reverse": true}} | 20,614 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = r + 15; b = s + 16; a = v + 6; z = b + 12; r = 14; e = g + 7; y = a + 5; w = d + 13; g = n + 11; n = r + 4; v = e + 13; d = u + 13; u = z + 17. Given that r = 14, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = v + 6 to y, which gives y = v + 11.\n2. Substitute v = e + 13 to y, which gives y = e + 24.\n3. Substitute e = g + 7 to y, which gives y = g + 31.\n4. Substitute g = n + 11 to y, which gives y = n + 42.\n5. Substitute n = r + 4 to y, which gives y = r + 46.\n6. Substitute r = 14 to y, which gives y = 60.\n\nThus, the final answer is y = \\boxed{60}.",
"index": 20614,
"question": "Suppose a collection of variables is related by the following definitions: s = r + 15; b = s + 16; a = v + 6; z = b + 12; r = 14; e = g + 7; y = a + 5; w = d + 13; g = n + 11; n = r + 4; v = e + 13; d = u + 13; u = z + 17. Given that r = 14, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"o": "q + 5", "g": "o + 2", "l": "g + 10", "x": "l + 11", "j": "x + 10", "v": "j + 7", "e": "q + 14", "d": "e + 5", "h": "d + 18", "w": "h + 2", "a": "w + 9", "y": "a + 1", "q": 2}, "premises": {"q": 2}, "target": "v"}, "answer": {"steps": [["j", "x + 10", "x + 17"], ["x", "l + 11", "l + 28"], ["l", "g + 10", "g + 38"], ["g", "o + 2", "o + 40"], ["o", "q + 5", "q + 45"], ["q", 2, "47"]], "target_var_name": "v", "target_value": 47, "value_dict": {"q": 2}, "is_reverse": true}} | 20,615 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = o + 2; y = a + 1; h = d + 18; q = 2; a = w + 9; w = h + 2; o = q + 5; e = q + 14; d = e + 5; x = l + 11; l = g + 10; v = j + 7; j = x + 10. If q = 2, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = x + 10 to v, which gives v = x + 17.\n2. Substitute x = l + 11 to v, which gives v = l + 28.\n3. Substitute l = g + 10 to v, which gives v = g + 38.\n4. Substitute g = o + 2 to v, which gives v = o + 40.\n5. Substitute o = q + 5 to v, which gives v = q + 45.\n6. Substitute q = 2 to v, which gives v = 47.\n\nThus, the final answer is v = \\boxed{47}.",
"index": 20615,
"question": "Consider a system of variables where each variable is defined as follows: g = o + 2; y = a + 1; h = d + 18; q = 2; a = w + 9; w = h + 2; o = q + 5; e = q + 14; d = e + 5; x = l + 11; l = g + 10; v = j + 7; j = x + 10. If q = 2, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"i": "f + 10", "t": "i + 17", "n": "t + 7", "k": "n + 9", "o": "k + 17", "m": "o + 1", "y": "f + 6", "e": "y + 11", "w": "e + 4", "z": "w + 16", "x": "z + 6", "s": "x + 7", "f": 13}, "premises": {"f": 13}, "target": "m"}, "answer": {"steps": [["o", "k + 17", "k + 18"], ["k", "n + 9", "n + 27"], ["n", "t + 7", "t + 34"], ["t", "i + 17", "i + 51"], ["i", "f + 10", "f + 61"], ["f", 13, "74"]], "target_var_name": "m", "target_value": 74, "value_dict": {"f": 13}, "is_reverse": true}} | 20,616 | 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 = f + 6; z = w + 16; i = f + 10; x = z + 6; n = t + 7; s = x + 7; f = 13; k = n + 9; w = e + 4; e = y + 11; m = o + 1; t = i + 17; o = k + 17. If f = 13, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = k + 17 to m, which gives m = k + 18.\n2. Substitute k = n + 9 to m, which gives m = n + 27.\n3. Substitute n = t + 7 to m, which gives m = t + 34.\n4. Substitute t = i + 17 to m, which gives m = i + 51.\n5. Substitute i = f + 10 to m, which gives m = f + 61.\n6. Substitute f = 13 to m, which gives m = 74.\n\nThus, the final answer is m = \\boxed{74}.",
"index": 20616,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = f + 6; z = w + 16; i = f + 10; x = z + 6; n = t + 7; s = x + 7; f = 13; k = n + 9; w = e + 4; e = y + 11; m = o + 1; t = i + 17; o = k + 17. If f = 13, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"k": "u + 5", "j": "k + 14", "i": "j + 16", "w": "i + 2", "b": "w + 16", "y": "b + 11", "d": "u + 10", "g": "d + 17", "t": "g + 12", "q": "t + 10", "m": "q + 1", "o": "m + 16", "u": 10}, "premises": {"u": 10}, "target": "y"}, "answer": {"steps": [["b", "w + 16", "w + 27"], ["w", "i + 2", "i + 29"], ["i", "j + 16", "j + 45"], ["j", "k + 14", "k + 59"], ["k", "u + 5", "u + 64"], ["u", 10, "74"]], "target_var_name": "y", "target_value": 74, "value_dict": {"u": 10}, "is_reverse": true}} | 20,617 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = m + 16; y = b + 11; k = u + 5; g = d + 17; w = i + 2; b = w + 16; m = q + 1; u = 10; q = t + 10; j = k + 14; i = j + 16; d = u + 10; t = g + 12. If u = 10, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = w + 16 to y, which gives y = w + 27.\n2. Substitute w = i + 2 to y, which gives y = i + 29.\n3. Substitute i = j + 16 to y, which gives y = j + 45.\n4. Substitute j = k + 14 to y, which gives y = k + 59.\n5. Substitute k = u + 5 to y, which gives y = u + 64.\n6. Substitute u = 10 to y, which gives y = 74.\n\nThus, the final answer is y = \\boxed{74}.",
"index": 20617,
"question": "Consider a system of variables where each variable is defined as follows: o = m + 16; y = b + 11; k = u + 5; g = d + 17; w = i + 2; b = w + 16; m = q + 1; u = 10; q = t + 10; j = k + 14; i = j + 16; d = u + 10; t = g + 12. If u = 10, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"g": "s + 5", "e": "g + 10", "j": "e + 6", "k": "j + 18", "r": "k + 15", "d": "r + 18", "w": "s + 3", "t": "w + 7", "l": "t + 16", "n": "l + 1", "f": "n + 15", "m": "f + 19", "s": 9}, "premises": {"s": 9}, "target": "d"}, "answer": {"steps": [["r", "k + 15", "k + 33"], ["k", "j + 18", "j + 51"], ["j", "e + 6", "e + 57"], ["e", "g + 10", "g + 67"], ["g", "s + 5", "s + 72"], ["s", 9, "81"]], "target_var_name": "d", "target_value": 81, "value_dict": {"s": 9}, "is_reverse": true}} | 20,618 | 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 + 1; r = k + 15; f = n + 15; s = 9; g = s + 5; d = r + 18; t = w + 7; l = t + 16; e = g + 10; w = s + 3; k = j + 18; m = f + 19; j = e + 6. If s = 9, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = k + 15 to d, which gives d = k + 33.\n2. Substitute k = j + 18 to d, which gives d = j + 51.\n3. Substitute j = e + 6 to d, which gives d = e + 57.\n4. Substitute e = g + 10 to d, which gives d = g + 67.\n5. Substitute g = s + 5 to d, which gives d = s + 72.\n6. Substitute s = 9 to d, which gives d = 81.\n\nThus, the final answer is d = \\boxed{81}.",
"index": 20618,
"question": "Consider a system of variables where each variable is defined as follows: n = l + 1; r = k + 15; f = n + 15; s = 9; g = s + 5; d = r + 18; t = w + 7; l = t + 16; e = g + 10; w = s + 3; k = j + 18; m = f + 19; j = e + 6. If s = 9, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"y": "c + 19", "d": "y + 14", "q": "d + 11", "t": "q + 17", "h": "t + 12", "m": "h + 3", "r": "c + 9", "e": "r + 9", "s": "e + 18", "j": "s + 1", "n": "j + 6", "z": "n + 6", "c": 14}, "premises": {"c": 14}, "target": "m"}, "answer": {"steps": [["h", "t + 12", "t + 15"], ["t", "q + 17", "q + 32"], ["q", "d + 11", "d + 43"], ["d", "y + 14", "y + 57"], ["y", "c + 19", "c + 76"], ["c", 14, "90"]], "target_var_name": "m", "target_value": 90, "value_dict": {"c": 14}, "is_reverse": true}} | 20,619 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = q + 17; m = h + 3; z = n + 6; j = s + 1; d = y + 14; e = r + 9; y = c + 19; n = j + 6; r = c + 9; q = d + 11; h = t + 12; s = e + 18; c = 14. Given that c = 14, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = t + 12 to m, which gives m = t + 15.\n2. Substitute t = q + 17 to m, which gives m = q + 32.\n3. Substitute q = d + 11 to m, which gives m = d + 43.\n4. Substitute d = y + 14 to m, which gives m = y + 57.\n5. Substitute y = c + 19 to m, which gives m = c + 76.\n6. Substitute c = 14 to m, which gives m = 90.\n\nThus, the final answer is m = \\boxed{90}.",
"index": 20619,
"question": "Suppose a collection of variables is related by the following definitions: t = q + 17; m = h + 3; z = n + 6; j = s + 1; d = y + 14; e = r + 9; y = c + 19; n = j + 6; r = c + 9; q = d + 11; h = t + 12; s = e + 18; c = 14. Given that c = 14, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"v": "p + 17", "o": "v + 17", "t": "o + 10", "e": "t + 11", "b": "e + 18", "g": "b + 7", "c": "p + 12", "l": "c + 7", "n": "l + 17", "s": "n + 14", "z": "s + 1", "u": "z + 14", "p": 2}, "premises": {"p": 2}, "target": "g"}, "answer": {"steps": [["b", "e + 18", "e + 25"], ["e", "t + 11", "t + 36"], ["t", "o + 10", "o + 46"], ["o", "v + 17", "v + 63"], ["v", "p + 17", "p + 80"], ["p", 2, "82"]], "target_var_name": "g", "target_value": 82, "value_dict": {"p": 2}, "is_reverse": true}} | 20,620 | 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 = s + 1; g = b + 7; b = e + 18; t = o + 10; p = 2; n = l + 17; o = v + 17; l = c + 7; c = p + 12; v = p + 17; e = t + 11; s = n + 14; u = z + 14. If p = 2, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = e + 18 to g, which gives g = e + 25.\n2. Substitute e = t + 11 to g, which gives g = t + 36.\n3. Substitute t = o + 10 to g, which gives g = o + 46.\n4. Substitute o = v + 17 to g, which gives g = v + 63.\n5. Substitute v = p + 17 to g, which gives g = p + 80.\n6. Substitute p = 2 to g, which gives g = 82.\n\nThus, the final answer is g = \\boxed{82}.",
"index": 20620,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = s + 1; g = b + 7; b = e + 18; t = o + 10; p = 2; n = l + 17; o = v + 17; l = c + 7; c = p + 12; v = p + 17; e = t + 11; s = n + 14; u = z + 14. If p = 2, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"v": "d + 2", "w": "v + 19", "p": "w + 2", "r": "p + 7", "j": "r + 3", "o": "j + 13", "t": "d + 10", "y": "t + 10", "f": "y + 6", "u": "f + 16", "e": "u + 11", "k": "e + 15", "d": 9}, "premises": {"d": 9}, "target": "o"}, "answer": {"steps": [["j", "r + 3", "r + 16"], ["r", "p + 7", "p + 23"], ["p", "w + 2", "w + 25"], ["w", "v + 19", "v + 44"], ["v", "d + 2", "d + 46"], ["d", 9, "55"]], "target_var_name": "o", "target_value": 55, "value_dict": {"d": 9}, "is_reverse": true}} | 20,621 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = d + 10; r = p + 7; v = d + 2; o = j + 13; f = y + 6; w = v + 19; k = e + 15; p = w + 2; u = f + 16; e = u + 11; j = r + 3; y = t + 10; d = 9. Given that d = 9, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = r + 3 to o, which gives o = r + 16.\n2. Substitute r = p + 7 to o, which gives o = p + 23.\n3. Substitute p = w + 2 to o, which gives o = w + 25.\n4. Substitute w = v + 19 to o, which gives o = v + 44.\n5. Substitute v = d + 2 to o, which gives o = d + 46.\n6. Substitute d = 9 to o, which gives o = 55.\n\nThus, the final answer is o = \\boxed{55}.",
"index": 20621,
"question": "Suppose a collection of variables is related by the following definitions: t = d + 10; r = p + 7; v = d + 2; o = j + 13; f = y + 6; w = v + 19; k = e + 15; p = w + 2; u = f + 16; e = u + 11; j = r + 3; y = t + 10; d = 9. Given that d = 9, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"q": "r + 5", "o": "q + 7", "i": "o + 1", "p": "i + 19", "x": "p + 13", "l": "x + 2", "u": "r + 8", "m": "u + 6", "e": "m + 19", "w": "e + 15", "y": "w + 1", "c": "y + 20", "r": 5}, "premises": {"r": 5}, "target": "l"}, "answer": {"steps": [["x", "p + 13", "p + 15"], ["p", "i + 19", "i + 34"], ["i", "o + 1", "o + 35"], ["o", "q + 7", "q + 42"], ["q", "r + 5", "r + 47"], ["r", 5, "52"]], "target_var_name": "l", "target_value": 52, "value_dict": {"r": 5}, "is_reverse": true}} | 20,622 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = q + 7; l = x + 2; i = o + 1; q = r + 5; m = u + 6; x = p + 13; p = i + 19; y = w + 1; c = y + 20; u = r + 8; r = 5; w = e + 15; e = m + 19. Given that r = 5, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = p + 13 to l, which gives l = p + 15.\n2. Substitute p = i + 19 to l, which gives l = i + 34.\n3. Substitute i = o + 1 to l, which gives l = o + 35.\n4. Substitute o = q + 7 to l, which gives l = q + 42.\n5. Substitute q = r + 5 to l, which gives l = r + 47.\n6. Substitute r = 5 to l, which gives l = 52.\n\nThus, the final answer is l = \\boxed{52}.",
"index": 20622,
"question": "Suppose a collection of variables is related by the following definitions: o = q + 7; l = x + 2; i = o + 1; q = r + 5; m = u + 6; x = p + 13; p = i + 19; y = w + 1; c = y + 20; u = r + 8; r = 5; w = e + 15; e = m + 19. Given that r = 5, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"h": "d + 9", "k": "h + 17", "v": "k + 10", "c": "v + 11", "z": "c + 2", "s": "z + 5", "u": "d + 1", "b": "u + 13", "n": "b + 12", "m": "n + 10", "o": "m + 7", "l": "o + 12", "d": 6}, "premises": {"d": 6}, "target": "s"}, "answer": {"steps": [["z", "c + 2", "c + 7"], ["c", "v + 11", "v + 18"], ["v", "k + 10", "k + 28"], ["k", "h + 17", "h + 45"], ["h", "d + 9", "d + 54"], ["d", 6, "60"]], "target_var_name": "s", "target_value": 60, "value_dict": {"d": 6}, "is_reverse": true}} | 20,623 | 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 + 12; s = z + 5; n = b + 12; b = u + 13; h = d + 9; z = c + 2; k = h + 17; m = n + 10; v = k + 10; o = m + 7; c = v + 11; u = d + 1; d = 6. If d = 6, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = c + 2 to s, which gives s = c + 7.\n2. Substitute c = v + 11 to s, which gives s = v + 18.\n3. Substitute v = k + 10 to s, which gives s = k + 28.\n4. Substitute k = h + 17 to s, which gives s = h + 45.\n5. Substitute h = d + 9 to s, which gives s = d + 54.\n6. Substitute d = 6 to s, which gives s = 60.\n\nThus, the final answer is s = \\boxed{60}.",
"index": 20623,
"question": "Consider a system of variables where each variable is defined as follows: l = o + 12; s = z + 5; n = b + 12; b = u + 13; h = d + 9; z = c + 2; k = h + 17; m = n + 10; v = k + 10; o = m + 7; c = v + 11; u = d + 1; d = 6. If d = 6, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"x": "r + 7", "w": "x + 5", "p": "w + 3", "i": "p + 5", "u": "i + 19", "o": "u + 3", "n": "r + 8", "v": "n + 16", "b": "v + 1", "c": "b + 11", "y": "c + 19", "s": "y + 14", "r": 11}, "premises": {"r": 11}, "target": "o"}, "answer": {"steps": [["u", "i + 19", "i + 22"], ["i", "p + 5", "p + 27"], ["p", "w + 3", "w + 30"], ["w", "x + 5", "x + 35"], ["x", "r + 7", "r + 42"], ["r", 11, "53"]], "target_var_name": "o", "target_value": 53, "value_dict": {"r": 11}, "is_reverse": true}} | 20,624 | 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 = 11; n = r + 8; b = v + 1; o = u + 3; u = i + 19; s = y + 14; v = n + 16; w = x + 5; c = b + 11; p = w + 3; i = p + 5; y = c + 19; x = r + 7. If r = 11, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = i + 19 to o, which gives o = i + 22.\n2. Substitute i = p + 5 to o, which gives o = p + 27.\n3. Substitute p = w + 3 to o, which gives o = w + 30.\n4. Substitute w = x + 5 to o, which gives o = x + 35.\n5. Substitute x = r + 7 to o, which gives o = r + 42.\n6. Substitute r = 11 to o, which gives o = 53.\n\nThus, the final answer is o = \\boxed{53}.",
"index": 20624,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = 11; n = r + 8; b = v + 1; o = u + 3; u = i + 19; s = y + 14; v = n + 16; w = x + 5; c = b + 11; p = w + 3; i = p + 5; y = c + 19; x = r + 7. If r = 11, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"a": "u + 9", "w": "a + 12", "h": "w + 12", "s": "h + 5", "i": "s + 12", "n": "i + 1", "x": "u + 11", "q": "x + 2", "f": "q + 20", "c": "f + 1", "e": "c + 17", "r": "e + 16", "u": 8}, "premises": {"u": 8}, "target": "n"}, "answer": {"steps": [["i", "s + 12", "s + 13"], ["s", "h + 5", "h + 18"], ["h", "w + 12", "w + 30"], ["w", "a + 12", "a + 42"], ["a", "u + 9", "u + 51"], ["u", 8, "59"]], "target_var_name": "n", "target_value": 59, "value_dict": {"u": 8}, "is_reverse": true}} | 20,625 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = s + 12; e = c + 17; h = w + 12; f = q + 20; c = f + 1; w = a + 12; u = 8; x = u + 11; n = i + 1; a = u + 9; r = e + 16; s = h + 5; q = x + 2. If u = 8, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = s + 12 to n, which gives n = s + 13.\n2. Substitute s = h + 5 to n, which gives n = h + 18.\n3. Substitute h = w + 12 to n, which gives n = w + 30.\n4. Substitute w = a + 12 to n, which gives n = a + 42.\n5. Substitute a = u + 9 to n, which gives n = u + 51.\n6. Substitute u = 8 to n, which gives n = 59.\n\nThus, the final answer is n = \\boxed{59}.",
"index": 20625,
"question": "Consider a system of variables where each variable is defined as follows: i = s + 12; e = c + 17; h = w + 12; f = q + 20; c = f + 1; w = a + 12; u = 8; x = u + 11; n = i + 1; a = u + 9; r = e + 16; s = h + 5; q = x + 2. If u = 8, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"t": "c + 1", "g": "t + 18", "b": "g + 19", "w": "b + 3", "i": "w + 12", "v": "i + 9", "j": "c + 12", "l": "j + 15", "n": "l + 1", "o": "n + 13", "k": "o + 16", "e": "k + 8", "c": 20}, "premises": {"c": 20}, "target": "v"}, "answer": {"steps": [["i", "w + 12", "w + 21"], ["w", "b + 3", "b + 24"], ["b", "g + 19", "g + 43"], ["g", "t + 18", "t + 61"], ["t", "c + 1", "c + 62"], ["c", 20, "82"]], "target_var_name": "v", "target_value": 82, "value_dict": {"c": 20}, "is_reverse": true}} | 20,626 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = 20; i = w + 12; k = o + 16; w = b + 3; o = n + 13; t = c + 1; g = t + 18; v = i + 9; j = c + 12; l = j + 15; e = k + 8; n = l + 1; b = g + 19. If c = 20, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = w + 12 to v, which gives v = w + 21.\n2. Substitute w = b + 3 to v, which gives v = b + 24.\n3. Substitute b = g + 19 to v, which gives v = g + 43.\n4. Substitute g = t + 18 to v, which gives v = t + 61.\n5. Substitute t = c + 1 to v, which gives v = c + 62.\n6. Substitute c = 20 to v, which gives v = 82.\n\nThus, the final answer is v = \\boxed{82}.",
"index": 20626,
"question": "Consider a system of variables where each variable is defined as follows: c = 20; i = w + 12; k = o + 16; w = b + 3; o = n + 13; t = c + 1; g = t + 18; v = i + 9; j = c + 12; l = j + 15; e = k + 8; n = l + 1; b = g + 19. If c = 20, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"t": "z + 9", "v": "t + 12", "i": "v + 12", "n": "i + 4", "a": "n + 3", "p": "a + 15", "d": "z + 1", "s": "d + 16", "g": "s + 11", "k": "g + 14", "y": "k + 10", "f": "y + 20", "z": 2}, "premises": {"z": 2}, "target": "p"}, "answer": {"steps": [["a", "n + 3", "n + 18"], ["n", "i + 4", "i + 22"], ["i", "v + 12", "v + 34"], ["v", "t + 12", "t + 46"], ["t", "z + 9", "z + 55"], ["z", 2, "57"]], "target_var_name": "p", "target_value": 57, "value_dict": {"z": 2}, "is_reverse": true}} | 20,627 | 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 = d + 16; p = a + 15; z = 2; i = v + 12; n = i + 4; v = t + 12; k = g + 14; f = y + 20; a = n + 3; y = k + 10; t = z + 9; g = s + 11; d = z + 1. If z = 2, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = n + 3 to p, which gives p = n + 18.\n2. Substitute n = i + 4 to p, which gives p = i + 22.\n3. Substitute i = v + 12 to p, which gives p = v + 34.\n4. Substitute v = t + 12 to p, which gives p = t + 46.\n5. Substitute t = z + 9 to p, which gives p = z + 55.\n6. Substitute z = 2 to p, which gives p = 57.\n\nThus, the final answer is p = \\boxed{57}.",
"index": 20627,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = d + 16; p = a + 15; z = 2; i = v + 12; n = i + 4; v = t + 12; k = g + 14; f = y + 20; a = n + 3; y = k + 10; t = z + 9; g = s + 11; d = z + 1. If z = 2, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"a": "k + 9", "r": "a + 4", "e": "r + 5", "q": "e + 17", "x": "q + 12", "w": "x + 15", "u": "k + 4", "h": "u + 6", "t": "h + 1", "o": "t + 13", "m": "o + 8", "g": "m + 11", "k": 8}, "premises": {"k": 8}, "target": "w"}, "answer": {"steps": [["x", "q + 12", "q + 27"], ["q", "e + 17", "e + 44"], ["e", "r + 5", "r + 49"], ["r", "a + 4", "a + 53"], ["a", "k + 9", "k + 62"], ["k", 8, "70"]], "target_var_name": "w", "target_value": 70, "value_dict": {"k": 8}, "is_reverse": true}} | 20,628 | 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 + 9; g = m + 11; x = q + 12; m = o + 8; r = a + 4; q = e + 17; o = t + 13; u = k + 4; h = u + 6; e = r + 5; w = x + 15; k = 8; t = h + 1. If k = 8, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = q + 12 to w, which gives w = q + 27.\n2. Substitute q = e + 17 to w, which gives w = e + 44.\n3. Substitute e = r + 5 to w, which gives w = r + 49.\n4. Substitute r = a + 4 to w, which gives w = a + 53.\n5. Substitute a = k + 9 to w, which gives w = k + 62.\n6. Substitute k = 8 to w, which gives w = 70.\n\nThus, the final answer is w = \\boxed{70}.",
"index": 20628,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = k + 9; g = m + 11; x = q + 12; m = o + 8; r = a + 4; q = e + 17; o = t + 13; u = k + 4; h = u + 6; e = r + 5; w = x + 15; k = 8; t = h + 1. If k = 8, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"q": "e + 17", "t": "q + 18", "w": "t + 3", "j": "w + 10", "l": "j + 16", "n": "l + 11", "c": "e + 8", "y": "c + 1", "h": "y + 9", "k": "h + 12", "i": "k + 19", "x": "i + 16", "e": 13}, "premises": {"e": 13}, "target": "n"}, "answer": {"steps": [["l", "j + 16", "j + 27"], ["j", "w + 10", "w + 37"], ["w", "t + 3", "t + 40"], ["t", "q + 18", "q + 58"], ["q", "e + 17", "e + 75"], ["e", 13, "88"]], "target_var_name": "n", "target_value": 88, "value_dict": {"e": 13}, "is_reverse": true}} | 20,629 | 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 + 8; j = w + 10; i = k + 19; t = q + 18; y = c + 1; w = t + 3; h = y + 9; e = 13; l = j + 16; k = h + 12; q = e + 17; n = l + 11; x = i + 16. If e = 13, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = j + 16 to n, which gives n = j + 27.\n2. Substitute j = w + 10 to n, which gives n = w + 37.\n3. Substitute w = t + 3 to n, which gives n = t + 40.\n4. Substitute t = q + 18 to n, which gives n = q + 58.\n5. Substitute q = e + 17 to n, which gives n = e + 75.\n6. Substitute e = 13 to n, which gives n = 88.\n\nThus, the final answer is n = \\boxed{88}.",
"index": 20629,
"question": "Consider a system of variables where each variable is defined as follows: c = e + 8; j = w + 10; i = k + 19; t = q + 18; y = c + 1; w = t + 3; h = y + 9; e = 13; l = j + 16; k = h + 12; q = e + 17; n = l + 11; x = i + 16. If e = 13, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"u": "j + 5", "e": "u + 18", "m": "e + 7", "s": "m + 10", "p": "s + 19", "b": "p + 8", "k": "j + 16", "t": "k + 13", "w": "t + 5", "o": "w + 19", "f": "o + 14", "y": "f + 14", "j": 13}, "premises": {"j": 13}, "target": "b"}, "answer": {"steps": [["p", "s + 19", "s + 27"], ["s", "m + 10", "m + 37"], ["m", "e + 7", "e + 44"], ["e", "u + 18", "u + 62"], ["u", "j + 5", "j + 67"], ["j", 13, "80"]], "target_var_name": "b", "target_value": 80, "value_dict": {"j": 13}, "is_reverse": true}} | 20,630 | 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 = j + 16; w = t + 5; u = j + 5; p = s + 19; e = u + 18; s = m + 10; y = f + 14; t = k + 13; f = o + 14; b = p + 8; m = e + 7; j = 13; o = w + 19. If j = 13, what is the resulting 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 = s + 19 to b, which gives b = s + 27.\n2. Substitute s = m + 10 to b, which gives b = m + 37.\n3. Substitute m = e + 7 to b, which gives b = e + 44.\n4. Substitute e = u + 18 to b, which gives b = u + 62.\n5. Substitute u = j + 5 to b, which gives b = j + 67.\n6. Substitute j = 13 to b, which gives b = 80.\n\nThus, the final answer is b = \\boxed{80}.",
"index": 20630,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = j + 16; w = t + 5; u = j + 5; p = s + 19; e = u + 18; s = m + 10; y = f + 14; t = k + 13; f = o + 14; b = p + 8; m = e + 7; j = 13; o = w + 19. If j = 13, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"o": "u + 14", "s": "o + 18", "w": "s + 9", "i": "w + 6", "j": "i + 20", "z": "j + 10", "p": "u + 16", "t": "p + 3", "k": "t + 10", "r": "k + 10", "f": "r + 9", "e": "f + 18", "u": 13}, "premises": {"u": 13}, "target": "z"}, "answer": {"steps": [["j", "i + 20", "i + 30"], ["i", "w + 6", "w + 36"], ["w", "s + 9", "s + 45"], ["s", "o + 18", "o + 63"], ["o", "u + 14", "u + 77"], ["u", 13, "90"]], "target_var_name": "z", "target_value": 90, "value_dict": {"u": 13}, "is_reverse": true}} | 20,631 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = 13; j = i + 20; k = t + 10; w = s + 9; f = r + 9; e = f + 18; p = u + 16; r = k + 10; t = p + 3; s = o + 18; z = j + 10; o = u + 14; i = w + 6. If u = 13, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = i + 20 to z, which gives z = i + 30.\n2. Substitute i = w + 6 to z, which gives z = w + 36.\n3. Substitute w = s + 9 to z, which gives z = s + 45.\n4. Substitute s = o + 18 to z, which gives z = o + 63.\n5. Substitute o = u + 14 to z, which gives z = u + 77.\n6. Substitute u = 13 to z, which gives z = 90.\n\nThus, the final answer is z = \\boxed{90}.",
"index": 20631,
"question": "Consider a system of variables where each variable is defined as follows: u = 13; j = i + 20; k = t + 10; w = s + 9; f = r + 9; e = f + 18; p = u + 16; r = k + 10; t = p + 3; s = o + 18; z = j + 10; o = u + 14; i = w + 6. If u = 13, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"f": "d + 12", "c": "f + 5", "r": "c + 5", "b": "r + 11", "w": "b + 4", "m": "w + 11", "h": "d + 18", "a": "h + 20", "x": "a + 3", "t": "x + 18", "s": "t + 16", "g": "s + 10", "d": 1}, "premises": {"d": 1}, "target": "m"}, "answer": {"steps": [["w", "b + 4", "b + 15"], ["b", "r + 11", "r + 26"], ["r", "c + 5", "c + 31"], ["c", "f + 5", "f + 36"], ["f", "d + 12", "d + 48"], ["d", 1, "49"]], "target_var_name": "m", "target_value": 49, "value_dict": {"d": 1}, "is_reverse": true}} | 20,632 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = d + 18; s = t + 16; x = a + 3; r = c + 5; a = h + 20; c = f + 5; d = 1; m = w + 11; g = s + 10; w = b + 4; b = r + 11; f = d + 12; t = x + 18. If d = 1, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = b + 4 to m, which gives m = b + 15.\n2. Substitute b = r + 11 to m, which gives m = r + 26.\n3. Substitute r = c + 5 to m, which gives m = c + 31.\n4. Substitute c = f + 5 to m, which gives m = f + 36.\n5. Substitute f = d + 12 to m, which gives m = d + 48.\n6. Substitute d = 1 to m, which gives m = 49.\n\nThus, the final answer is m = \\boxed{49}.",
"index": 20632,
"question": "Consider a system of variables where each variable is defined as follows: h = d + 18; s = t + 16; x = a + 3; r = c + 5; a = h + 20; c = f + 5; d = 1; m = w + 11; g = s + 10; w = b + 4; b = r + 11; f = d + 12; t = x + 18. If d = 1, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"e": "c + 16", "d": "e + 3", "q": "d + 5", "u": "q + 11", "r": "u + 7", "y": "r + 3", "h": "c + 17", "o": "h + 16", "j": "o + 15", "k": "j + 12", "s": "k + 20", "t": "s + 13", "c": 14}, "premises": {"c": 14}, "target": "y"}, "answer": {"steps": [["r", "u + 7", "u + 10"], ["u", "q + 11", "q + 21"], ["q", "d + 5", "d + 26"], ["d", "e + 3", "e + 29"], ["e", "c + 16", "c + 45"], ["c", 14, "59"]], "target_var_name": "y", "target_value": 59, "value_dict": {"c": 14}, "is_reverse": true}} | 20,633 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = q + 11; s = k + 20; e = c + 16; o = h + 16; c = 14; h = c + 17; t = s + 13; y = r + 3; d = e + 3; q = d + 5; r = u + 7; k = j + 12; j = o + 15. If c = 14, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = u + 7 to y, which gives y = u + 10.\n2. Substitute u = q + 11 to y, which gives y = q + 21.\n3. Substitute q = d + 5 to y, which gives y = d + 26.\n4. Substitute d = e + 3 to y, which gives y = e + 29.\n5. Substitute e = c + 16 to y, which gives y = c + 45.\n6. Substitute c = 14 to y, which gives y = 59.\n\nThus, the final answer is y = \\boxed{59}.",
"index": 20633,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = q + 11; s = k + 20; e = c + 16; o = h + 16; c = 14; h = c + 17; t = s + 13; y = r + 3; d = e + 3; q = d + 5; r = u + 7; k = j + 12; j = o + 15. If c = 14, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"v": "t + 10", "w": "v + 20", "y": "w + 12", "x": "y + 19", "u": "x + 10", "e": "u + 7", "i": "t + 8", "s": "i + 5", "b": "s + 20", "z": "b + 17", "j": "z + 16", "d": "j + 17", "t": 9}, "premises": {"t": 9}, "target": "e"}, "answer": {"steps": [["u", "x + 10", "x + 17"], ["x", "y + 19", "y + 36"], ["y", "w + 12", "w + 48"], ["w", "v + 20", "v + 68"], ["v", "t + 10", "t + 78"], ["t", 9, "87"]], "target_var_name": "e", "target_value": 87, "value_dict": {"t": 9}, "is_reverse": true}} | 20,634 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = s + 20; u = x + 10; y = w + 12; z = b + 17; i = t + 8; x = y + 19; e = u + 7; t = 9; w = v + 20; s = i + 5; j = z + 16; v = t + 10; d = j + 17. If t = 9, 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 u = x + 10 to e, which gives e = x + 17.\n2. Substitute x = y + 19 to e, which gives e = y + 36.\n3. Substitute y = w + 12 to e, which gives e = w + 48.\n4. Substitute w = v + 20 to e, which gives e = v + 68.\n5. Substitute v = t + 10 to e, which gives e = t + 78.\n6. Substitute t = 9 to e, which gives e = 87.\n\nThus, the final answer is e = \\boxed{87}.",
"index": 20634,
"question": "Consider a system of variables where each variable is defined as follows: b = s + 20; u = x + 10; y = w + 12; z = b + 17; i = t + 8; x = y + 19; e = u + 7; t = 9; w = v + 20; s = i + 5; j = z + 16; v = t + 10; d = j + 17. If t = 9, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"k": "s + 4", "r": "k + 20", "l": "r + 19", "p": "l + 2", "x": "p + 4", "i": "x + 10", "c": "s + 2", "d": "c + 5", "q": "d + 1", "v": "q + 11", "j": "v + 2", "b": "j + 15", "s": 12}, "premises": {"s": 12}, "target": "i"}, "answer": {"steps": [["x", "p + 4", "p + 14"], ["p", "l + 2", "l + 16"], ["l", "r + 19", "r + 35"], ["r", "k + 20", "k + 55"], ["k", "s + 4", "s + 59"], ["s", 12, "71"]], "target_var_name": "i", "target_value": 71, "value_dict": {"s": 12}, "is_reverse": true}} | 20,635 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = 12; c = s + 2; q = d + 1; v = q + 11; j = v + 2; k = s + 4; i = x + 10; l = r + 19; p = l + 2; r = k + 20; x = p + 4; d = c + 5; b = j + 15. Given that s = 12, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = p + 4 to i, which gives i = p + 14.\n2. Substitute p = l + 2 to i, which gives i = l + 16.\n3. Substitute l = r + 19 to i, which gives i = r + 35.\n4. Substitute r = k + 20 to i, which gives i = k + 55.\n5. Substitute k = s + 4 to i, which gives i = s + 59.\n6. Substitute s = 12 to i, which gives i = 71.\n\nThus, the final answer is i = \\boxed{71}.",
"index": 20635,
"question": "Suppose a collection of variables is related by the following definitions: s = 12; c = s + 2; q = d + 1; v = q + 11; j = v + 2; k = s + 4; i = x + 10; l = r + 19; p = l + 2; r = k + 20; x = p + 4; d = c + 5; b = j + 15. Given that s = 12, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"g": "b + 7", "h": "g + 4", "a": "h + 13", "o": "a + 14", "r": "o + 20", "q": "r + 6", "n": "b + 2", "p": "n + 8", "l": "p + 2", "j": "l + 12", "e": "j + 18", "v": "e + 10", "b": 7}, "premises": {"b": 7}, "target": "q"}, "answer": {"steps": [["r", "o + 20", "o + 26"], ["o", "a + 14", "a + 40"], ["a", "h + 13", "h + 53"], ["h", "g + 4", "g + 57"], ["g", "b + 7", "b + 64"], ["b", 7, "71"]], "target_var_name": "q", "target_value": 71, "value_dict": {"b": 7}, "is_reverse": true}} | 20,636 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = p + 2; g = b + 7; p = n + 8; n = b + 2; v = e + 10; a = h + 13; r = o + 20; o = a + 14; e = j + 18; b = 7; j = l + 12; h = g + 4; q = r + 6. Given that b = 7, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = o + 20 to q, which gives q = o + 26.\n2. Substitute o = a + 14 to q, which gives q = a + 40.\n3. Substitute a = h + 13 to q, which gives q = h + 53.\n4. Substitute h = g + 4 to q, which gives q = g + 57.\n5. Substitute g = b + 7 to q, which gives q = b + 64.\n6. Substitute b = 7 to q, which gives q = 71.\n\nThus, the final answer is q = \\boxed{71}.",
"index": 20636,
"question": "Suppose a collection of variables is related by the following definitions: l = p + 2; g = b + 7; p = n + 8; n = b + 2; v = e + 10; a = h + 13; r = o + 20; o = a + 14; e = j + 18; b = 7; j = l + 12; h = g + 4; q = r + 6. Given that b = 7, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"d": "n + 16", "w": "d + 3", "x": "w + 18", "t": "x + 6", "u": "t + 9", "l": "u + 11", "y": "n + 5", "v": "y + 12", "g": "v + 10", "m": "g + 2", "e": "m + 16", "i": "e + 19", "n": 6}, "premises": {"n": 6}, "target": "l"}, "answer": {"steps": [["u", "t + 9", "t + 20"], ["t", "x + 6", "x + 26"], ["x", "w + 18", "w + 44"], ["w", "d + 3", "d + 47"], ["d", "n + 16", "n + 63"], ["n", 6, "69"]], "target_var_name": "l", "target_value": 69, "value_dict": {"n": 6}, "is_reverse": true}} | 20,637 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = t + 9; l = u + 11; g = v + 10; n = 6; m = g + 2; y = n + 5; w = d + 3; i = e + 19; d = n + 16; v = y + 12; e = m + 16; x = w + 18; t = x + 6. Given that n = 6, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = t + 9 to l, which gives l = t + 20.\n2. Substitute t = x + 6 to l, which gives l = x + 26.\n3. Substitute x = w + 18 to l, which gives l = w + 44.\n4. Substitute w = d + 3 to l, which gives l = d + 47.\n5. Substitute d = n + 16 to l, which gives l = n + 63.\n6. Substitute n = 6 to l, which gives l = 69.\n\nThus, the final answer is l = \\boxed{69}.",
"index": 20637,
"question": "Suppose a collection of variables is related by the following definitions: u = t + 9; l = u + 11; g = v + 10; n = 6; m = g + 2; y = n + 5; w = d + 3; i = e + 19; d = n + 16; v = y + 12; e = m + 16; x = w + 18; t = x + 6. Given that n = 6, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"d": "x + 12", "v": "d + 11", "y": "v + 4", "n": "y + 1", "e": "n + 2", "w": "e + 14", "z": "x + 4", "h": "z + 18", "a": "h + 6", "l": "a + 18", "r": "l + 6", "j": "r + 19", "x": 12}, "premises": {"x": 12}, "target": "w"}, "answer": {"steps": [["e", "n + 2", "n + 16"], ["n", "y + 1", "y + 17"], ["y", "v + 4", "v + 21"], ["v", "d + 11", "d + 32"], ["d", "x + 12", "x + 44"], ["x", 12, "56"]], "target_var_name": "w", "target_value": 56, "value_dict": {"x": 12}, "is_reverse": true}} | 20,638 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = a + 18; r = l + 6; y = v + 4; z = x + 4; a = h + 6; n = y + 1; e = n + 2; v = d + 11; w = e + 14; h = z + 18; x = 12; j = r + 19; d = x + 12. If x = 12, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = n + 2 to w, which gives w = n + 16.\n2. Substitute n = y + 1 to w, which gives w = y + 17.\n3. Substitute y = v + 4 to w, which gives w = v + 21.\n4. Substitute v = d + 11 to w, which gives w = d + 32.\n5. Substitute d = x + 12 to w, which gives w = x + 44.\n6. Substitute x = 12 to w, which gives w = 56.\n\nThus, the final answer is w = \\boxed{56}.",
"index": 20638,
"question": "Consider a system of variables where each variable is defined as follows: l = a + 18; r = l + 6; y = v + 4; z = x + 4; a = h + 6; n = y + 1; e = n + 2; v = d + 11; w = e + 14; h = z + 18; x = 12; j = r + 19; d = x + 12. If x = 12, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"x": "p + 10", "i": "x + 12", "c": "i + 11", "z": "c + 20", "k": "z + 11", "h": "k + 8", "w": "p + 2", "b": "w + 7", "v": "b + 12", "f": "v + 12", "e": "f + 16", "y": "e + 6", "p": 17}, "premises": {"p": 17}, "target": "h"}, "answer": {"steps": [["k", "z + 11", "z + 19"], ["z", "c + 20", "c + 39"], ["c", "i + 11", "i + 50"], ["i", "x + 12", "x + 62"], ["x", "p + 10", "p + 72"], ["p", 17, "89"]], "target_var_name": "h", "target_value": 89, "value_dict": {"p": 17}, "is_reverse": true}} | 20,639 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = c + 20; e = f + 16; y = e + 6; k = z + 11; x = p + 10; b = w + 7; f = v + 12; w = p + 2; c = i + 11; p = 17; h = k + 8; v = b + 12; i = x + 12. If p = 17, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = z + 11 to h, which gives h = z + 19.\n2. Substitute z = c + 20 to h, which gives h = c + 39.\n3. Substitute c = i + 11 to h, which gives h = i + 50.\n4. Substitute i = x + 12 to h, which gives h = x + 62.\n5. Substitute x = p + 10 to h, which gives h = p + 72.\n6. Substitute p = 17 to h, which gives h = 89.\n\nThus, the final answer is h = \\boxed{89}.",
"index": 20639,
"question": "Consider a system of variables where each variable is defined as follows: z = c + 20; e = f + 16; y = e + 6; k = z + 11; x = p + 10; b = w + 7; f = v + 12; w = p + 2; c = i + 11; p = 17; h = k + 8; v = b + 12; i = x + 12. If p = 17, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"i": "w + 11", "e": "i + 14", "j": "e + 16", "m": "j + 7", "d": "m + 6", "p": "d + 16", "z": "w + 19", "l": "z + 6", "n": "l + 20", "b": "n + 4", "y": "b + 15", "f": "y + 1", "w": 14}, "premises": {"w": 14}, "target": "p"}, "answer": {"steps": [["d", "m + 6", "m + 22"], ["m", "j + 7", "j + 29"], ["j", "e + 16", "e + 45"], ["e", "i + 14", "i + 59"], ["i", "w + 11", "w + 70"], ["w", 14, "84"]], "target_var_name": "p", "target_value": 84, "value_dict": {"w": 14}, "is_reverse": true}} | 20,640 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = j + 7; b = n + 4; j = e + 16; n = l + 20; w = 14; f = y + 1; y = b + 15; d = m + 6; l = z + 6; z = w + 19; p = d + 16; i = w + 11; e = i + 14. If w = 14, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = m + 6 to p, which gives p = m + 22.\n2. Substitute m = j + 7 to p, which gives p = j + 29.\n3. Substitute j = e + 16 to p, which gives p = e + 45.\n4. Substitute e = i + 14 to p, which gives p = i + 59.\n5. Substitute i = w + 11 to p, which gives p = w + 70.\n6. Substitute w = 14 to p, which gives p = 84.\n\nThus, the final answer is p = \\boxed{84}.",
"index": 20640,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = j + 7; b = n + 4; j = e + 16; n = l + 20; w = 14; f = y + 1; y = b + 15; d = m + 6; l = z + 6; z = w + 19; p = d + 16; i = w + 11; e = i + 14. If w = 14, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"v": "o + 1", "r": "v + 6", "z": "r + 13", "e": "z + 13", "n": "e + 3", "h": "n + 6", "j": "o + 19", "t": "j + 7", "y": "t + 10", "d": "y + 9", "a": "d + 14", "b": "a + 7", "o": 3}, "premises": {"o": 3}, "target": "h"}, "answer": {"steps": [["n", "e + 3", "e + 9"], ["e", "z + 13", "z + 22"], ["z", "r + 13", "r + 35"], ["r", "v + 6", "v + 41"], ["v", "o + 1", "o + 42"], ["o", 3, "45"]], "target_var_name": "h", "target_value": 45, "value_dict": {"o": 3}, "is_reverse": true}} | 20,641 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = v + 6; o = 3; j = o + 19; n = e + 3; e = z + 13; v = o + 1; h = n + 6; t = j + 7; y = t + 10; a = d + 14; d = y + 9; b = a + 7; z = r + 13. If o = 3, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = e + 3 to h, which gives h = e + 9.\n2. Substitute e = z + 13 to h, which gives h = z + 22.\n3. Substitute z = r + 13 to h, which gives h = r + 35.\n4. Substitute r = v + 6 to h, which gives h = v + 41.\n5. Substitute v = o + 1 to h, which gives h = o + 42.\n6. Substitute o = 3 to h, which gives h = 45.\n\nThus, the final answer is h = \\boxed{45}.",
"index": 20641,
"question": "Consider a system of variables where each variable is defined as follows: r = v + 6; o = 3; j = o + 19; n = e + 3; e = z + 13; v = o + 1; h = n + 6; t = j + 7; y = t + 10; a = d + 14; d = y + 9; b = a + 7; z = r + 13. If o = 3, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"p": "n + 14", "r": "p + 19", "q": "r + 4", "w": "q + 1", "y": "w + 18", "f": "y + 16", "b": "n + 13", "m": "b + 20", "k": "m + 19", "l": "k + 18", "v": "l + 16", "o": "v + 17", "n": 2}, "premises": {"n": 2}, "target": "f"}, "answer": {"steps": [["y", "w + 18", "w + 34"], ["w", "q + 1", "q + 35"], ["q", "r + 4", "r + 39"], ["r", "p + 19", "p + 58"], ["p", "n + 14", "n + 72"], ["n", 2, "74"]], "target_var_name": "f", "target_value": 74, "value_dict": {"n": 2}, "is_reverse": true}} | 20,642 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = k + 18; r = p + 19; m = b + 20; w = q + 1; k = m + 19; n = 2; v = l + 16; f = y + 16; q = r + 4; p = n + 14; y = w + 18; b = n + 13; o = v + 17. Given that n = 2, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = w + 18 to f, which gives f = w + 34.\n2. Substitute w = q + 1 to f, which gives f = q + 35.\n3. Substitute q = r + 4 to f, which gives f = r + 39.\n4. Substitute r = p + 19 to f, which gives f = p + 58.\n5. Substitute p = n + 14 to f, which gives f = n + 72.\n6. Substitute n = 2 to f, which gives f = 74.\n\nThus, the final answer is f = \\boxed{74}.",
"index": 20642,
"question": "Suppose a collection of variables is related by the following definitions: l = k + 18; r = p + 19; m = b + 20; w = q + 1; k = m + 19; n = 2; v = l + 16; f = y + 16; q = r + 4; p = n + 14; y = w + 18; b = n + 13; o = v + 17. Given that n = 2, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"x": "e + 11", "b": "x + 1", "z": "b + 7", "n": "z + 20", "d": "n + 6", "k": "d + 19", "p": "e + 6", "o": "p + 8", "f": "o + 15", "h": "f + 19", "s": "h + 8", "i": "s + 11", "e": 17}, "premises": {"e": 17}, "target": "k"}, "answer": {"steps": [["d", "n + 6", "n + 25"], ["n", "z + 20", "z + 45"], ["z", "b + 7", "b + 52"], ["b", "x + 1", "x + 53"], ["x", "e + 11", "e + 64"], ["e", 17, "81"]], "target_var_name": "k", "target_value": 81, "value_dict": {"e": 17}, "is_reverse": true}} | 20,643 | 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 = d + 19; p = e + 6; i = s + 11; o = p + 8; h = f + 19; x = e + 11; f = o + 15; e = 17; d = n + 6; z = b + 7; b = x + 1; n = z + 20; s = h + 8. If e = 17, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = n + 6 to k, which gives k = n + 25.\n2. Substitute n = z + 20 to k, which gives k = z + 45.\n3. Substitute z = b + 7 to k, which gives k = b + 52.\n4. Substitute b = x + 1 to k, which gives k = x + 53.\n5. Substitute x = e + 11 to k, which gives k = e + 64.\n6. Substitute e = 17 to k, which gives k = 81.\n\nThus, the final answer is k = \\boxed{81}.",
"index": 20643,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = d + 19; p = e + 6; i = s + 11; o = p + 8; h = f + 19; x = e + 11; f = o + 15; e = 17; d = n + 6; z = b + 7; b = x + 1; n = z + 20; s = h + 8. If e = 17, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"q": "a + 8", "e": "q + 14", "z": "e + 16", "b": "z + 6", "n": "b + 9", "m": "n + 15", "g": "a + 16", "t": "g + 16", "l": "t + 3", "k": "l + 8", "h": "k + 2", "j": "h + 5", "a": 5}, "premises": {"a": 5}, "target": "m"}, "answer": {"steps": [["n", "b + 9", "b + 24"], ["b", "z + 6", "z + 30"], ["z", "e + 16", "e + 46"], ["e", "q + 14", "q + 60"], ["q", "a + 8", "a + 68"], ["a", 5, "73"]], "target_var_name": "m", "target_value": 73, "value_dict": {"a": 5}, "is_reverse": true}} | 20,644 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = k + 2; t = g + 16; g = a + 16; z = e + 16; e = q + 14; b = z + 6; a = 5; n = b + 9; k = l + 8; l = t + 3; m = n + 15; q = a + 8; j = h + 5. Given that a = 5, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = b + 9 to m, which gives m = b + 24.\n2. Substitute b = z + 6 to m, which gives m = z + 30.\n3. Substitute z = e + 16 to m, which gives m = e + 46.\n4. Substitute e = q + 14 to m, which gives m = q + 60.\n5. Substitute q = a + 8 to m, which gives m = a + 68.\n6. Substitute a = 5 to m, which gives m = 73.\n\nThus, the final answer is m = \\boxed{73}.",
"index": 20644,
"question": "Suppose a collection of variables is related by the following definitions: h = k + 2; t = g + 16; g = a + 16; z = e + 16; e = q + 14; b = z + 6; a = 5; n = b + 9; k = l + 8; l = t + 3; m = n + 15; q = a + 8; j = h + 5. Given that a = 5, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"s": "q + 5", "j": "s + 2", "i": "j + 4", "p": "i + 3", "d": "p + 9", "t": "d + 6", "l": "q + 3", "z": "l + 10", "r": "z + 6", "b": "r + 20", "g": "b + 1", "y": "g + 2", "q": 8}, "premises": {"q": 8}, "target": "t"}, "answer": {"steps": [["d", "p + 9", "p + 15"], ["p", "i + 3", "i + 18"], ["i", "j + 4", "j + 22"], ["j", "s + 2", "s + 24"], ["s", "q + 5", "q + 29"], ["q", 8, "37"]], "target_var_name": "t", "target_value": 37, "value_dict": {"q": 8}, "is_reverse": true}} | 20,645 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = j + 4; g = b + 1; j = s + 2; b = r + 20; r = z + 6; s = q + 5; y = g + 2; l = q + 3; z = l + 10; p = i + 3; t = d + 6; q = 8; d = p + 9. If q = 8, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 37,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = p + 9 to t, which gives t = p + 15.\n2. Substitute p = i + 3 to t, which gives t = i + 18.\n3. Substitute i = j + 4 to t, which gives t = j + 22.\n4. Substitute j = s + 2 to t, which gives t = s + 24.\n5. Substitute s = q + 5 to t, which gives t = q + 29.\n6. Substitute q = 8 to t, which gives t = 37.\n\nThus, the final answer is t = \\boxed{37}.",
"index": 20645,
"question": "Consider a system of variables where each variable is defined as follows: i = j + 4; g = b + 1; j = s + 2; b = r + 20; r = z + 6; s = q + 5; y = g + 2; l = q + 3; z = l + 10; p = i + 3; t = d + 6; q = 8; d = p + 9. If q = 8, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"p": "l + 8", "o": "p + 16", "r": "o + 14", "i": "r + 7", "x": "i + 10", "u": "x + 18", "d": "l + 6", "e": "d + 20", "f": "e + 3", "b": "f + 4", "n": "b + 20", "k": "n + 20", "l": 20}, "premises": {"l": 20}, "target": "u"}, "answer": {"steps": [["x", "i + 10", "i + 28"], ["i", "r + 7", "r + 35"], ["r", "o + 14", "o + 49"], ["o", "p + 16", "p + 65"], ["p", "l + 8", "l + 73"], ["l", 20, "93"]], "target_var_name": "u", "target_value": 93, "value_dict": {"l": 20}, "is_reverse": true}} | 20,646 | 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 = e + 3; x = i + 10; l = 20; b = f + 4; n = b + 20; o = p + 16; u = x + 18; r = o + 14; i = r + 7; e = d + 20; k = n + 20; p = l + 8; d = l + 6. If l = 20, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = i + 10 to u, which gives u = i + 28.\n2. Substitute i = r + 7 to u, which gives u = r + 35.\n3. Substitute r = o + 14 to u, which gives u = o + 49.\n4. Substitute o = p + 16 to u, which gives u = p + 65.\n5. Substitute p = l + 8 to u, which gives u = l + 73.\n6. Substitute l = 20 to u, which gives u = 93.\n\nThus, the final answer is u = \\boxed{93}.",
"index": 20646,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = e + 3; x = i + 10; l = 20; b = f + 4; n = b + 20; o = p + 16; u = x + 18; r = o + 14; i = r + 7; e = d + 20; k = n + 20; p = l + 8; d = l + 6. If l = 20, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"u": "d + 17", "s": "u + 18", "k": "s + 3", "e": "k + 1", "z": "e + 5", "v": "z + 18", "b": "d + 11", "x": "b + 1", "r": "x + 15", "w": "r + 6", "l": "w + 19", "m": "l + 17", "d": 20}, "premises": {"d": 20}, "target": "v"}, "answer": {"steps": [["z", "e + 5", "e + 23"], ["e", "k + 1", "k + 24"], ["k", "s + 3", "s + 27"], ["s", "u + 18", "u + 45"], ["u", "d + 17", "d + 62"], ["d", 20, "82"]], "target_var_name": "v", "target_value": 82, "value_dict": {"d": 20}, "is_reverse": true}} | 20,647 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = x + 15; m = l + 17; s = u + 18; v = z + 18; d = 20; z = e + 5; b = d + 11; w = r + 6; x = b + 1; l = w + 19; e = k + 1; u = d + 17; k = s + 3. Given that d = 20, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = e + 5 to v, which gives v = e + 23.\n2. Substitute e = k + 1 to v, which gives v = k + 24.\n3. Substitute k = s + 3 to v, which gives v = s + 27.\n4. Substitute s = u + 18 to v, which gives v = u + 45.\n5. Substitute u = d + 17 to v, which gives v = d + 62.\n6. Substitute d = 20 to v, which gives v = 82.\n\nThus, the final answer is v = \\boxed{82}.",
"index": 20647,
"question": "Suppose a collection of variables is related by the following definitions: r = x + 15; m = l + 17; s = u + 18; v = z + 18; d = 20; z = e + 5; b = d + 11; w = r + 6; x = b + 1; l = w + 19; e = k + 1; u = d + 17; k = s + 3. Given that d = 20, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"u": "v + 8", "j": "u + 17", "m": "j + 8", "f": "m + 2", "p": "f + 16", "n": "p + 4", "r": "v + 5", "e": "r + 7", "t": "e + 17", "g": "t + 17", "c": "g + 18", "l": "c + 19", "v": 16}, "premises": {"v": 16}, "target": "n"}, "answer": {"steps": [["p", "f + 16", "f + 20"], ["f", "m + 2", "m + 22"], ["m", "j + 8", "j + 30"], ["j", "u + 17", "u + 47"], ["u", "v + 8", "v + 55"], ["v", 16, "71"]], "target_var_name": "n", "target_value": 71, "value_dict": {"v": 16}, "is_reverse": true}} | 20,648 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = u + 17; p = f + 16; u = v + 8; l = c + 19; n = p + 4; c = g + 18; e = r + 7; v = 16; t = e + 17; r = v + 5; f = m + 2; m = j + 8; g = t + 17. If v = 16, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = f + 16 to n, which gives n = f + 20.\n2. Substitute f = m + 2 to n, which gives n = m + 22.\n3. Substitute m = j + 8 to n, which gives n = j + 30.\n4. Substitute j = u + 17 to n, which gives n = u + 47.\n5. Substitute u = v + 8 to n, which gives n = v + 55.\n6. Substitute v = 16 to n, which gives n = 71.\n\nThus, the final answer is n = \\boxed{71}.",
"index": 20648,
"question": "Consider a system of variables where each variable is defined as follows: j = u + 17; p = f + 16; u = v + 8; l = c + 19; n = p + 4; c = g + 18; e = r + 7; v = 16; t = e + 17; r = v + 5; f = m + 2; m = j + 8; g = t + 17. If v = 16, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"w": "f + 13", "k": "w + 16", "i": "k + 8", "t": "i + 4", "x": "t + 3", "h": "x + 17", "p": "f + 1", "b": "p + 7", "e": "b + 8", "q": "e + 2", "c": "q + 10", "g": "c + 6", "f": 8}, "premises": {"f": 8}, "target": "h"}, "answer": {"steps": [["x", "t + 3", "t + 20"], ["t", "i + 4", "i + 24"], ["i", "k + 8", "k + 32"], ["k", "w + 16", "w + 48"], ["w", "f + 13", "f + 61"], ["f", 8, "69"]], "target_var_name": "h", "target_value": 69, "value_dict": {"f": 8}, "is_reverse": true}} | 20,649 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = w + 16; t = i + 4; i = k + 8; h = x + 17; p = f + 1; q = e + 2; b = p + 7; e = b + 8; x = t + 3; c = q + 10; g = c + 6; w = f + 13; f = 8. Given that f = 8, find 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 x = t + 3 to h, which gives h = t + 20.\n2. Substitute t = i + 4 to h, which gives h = i + 24.\n3. Substitute i = k + 8 to h, which gives h = k + 32.\n4. Substitute k = w + 16 to h, which gives h = w + 48.\n5. Substitute w = f + 13 to h, which gives h = f + 61.\n6. Substitute f = 8 to h, which gives h = 69.\n\nThus, the final answer is h = \\boxed{69}.",
"index": 20649,
"question": "Suppose a collection of variables is related by the following definitions: k = w + 16; t = i + 4; i = k + 8; h = x + 17; p = f + 1; q = e + 2; b = p + 7; e = b + 8; x = t + 3; c = q + 10; g = c + 6; w = f + 13; f = 8. Given that f = 8, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"u": "s + 3", "b": "u + 11", "o": "b + 19", "y": "o + 17", "r": "y + 2", "k": "r + 20", "l": "s + 17", "t": "l + 12", "g": "t + 12", "a": "g + 20", "f": "a + 18", "h": "f + 18", "s": 20}, "premises": {"s": 20}, "target": "k"}, "answer": {"steps": [["r", "y + 2", "y + 22"], ["y", "o + 17", "o + 39"], ["o", "b + 19", "b + 58"], ["b", "u + 11", "u + 69"], ["u", "s + 3", "s + 72"], ["s", 20, "92"]], "target_var_name": "k", "target_value": 92, "value_dict": {"s": 20}, "is_reverse": true}} | 20,650 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = l + 12; r = y + 2; s = 20; y = o + 17; h = f + 18; l = s + 17; f = a + 18; o = b + 19; b = u + 11; u = s + 3; k = r + 20; g = t + 12; a = g + 20. If s = 20, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = y + 2 to k, which gives k = y + 22.\n2. Substitute y = o + 17 to k, which gives k = o + 39.\n3. Substitute o = b + 19 to k, which gives k = b + 58.\n4. Substitute b = u + 11 to k, which gives k = u + 69.\n5. Substitute u = s + 3 to k, which gives k = s + 72.\n6. Substitute s = 20 to k, which gives k = 92.\n\nThus, the final answer is k = \\boxed{92}.",
"index": 20650,
"question": "Consider a system of variables where each variable is defined as follows: t = l + 12; r = y + 2; s = 20; y = o + 17; h = f + 18; l = s + 17; f = a + 18; o = b + 19; b = u + 11; u = s + 3; k = r + 20; g = t + 12; a = g + 20. If s = 20, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"h": "d + 17", "i": "h + 19", "z": "i + 17", "a": "z + 18", "c": "a + 4", "j": "c + 18", "x": "d + 19", "y": "x + 9", "t": "y + 3", "g": "t + 3", "m": "g + 8", "p": "m + 14", "d": 16}, "premises": {"d": 16}, "target": "j"}, "answer": {"steps": [["c", "a + 4", "a + 22"], ["a", "z + 18", "z + 40"], ["z", "i + 17", "i + 57"], ["i", "h + 19", "h + 76"], ["h", "d + 17", "d + 93"], ["d", 16, "109"]], "target_var_name": "j", "target_value": 109, "value_dict": {"d": 16}, "is_reverse": true}} | 20,651 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = i + 17; x = d + 19; t = y + 3; m = g + 8; c = a + 4; y = x + 9; i = h + 19; d = 16; j = c + 18; h = d + 17; p = m + 14; a = z + 18; g = t + 3. If d = 16, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 109,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = a + 4 to j, which gives j = a + 22.\n2. Substitute a = z + 18 to j, which gives j = z + 40.\n3. Substitute z = i + 17 to j, which gives j = i + 57.\n4. Substitute i = h + 19 to j, which gives j = h + 76.\n5. Substitute h = d + 17 to j, which gives j = d + 93.\n6. Substitute d = 16 to j, which gives j = 109.\n\nThus, the final answer is j = \\boxed{109}.",
"index": 20651,
"question": "Consider a system of variables where each variable is defined as follows: z = i + 17; x = d + 19; t = y + 3; m = g + 8; c = a + 4; y = x + 9; i = h + 19; d = 16; j = c + 18; h = d + 17; p = m + 14; a = z + 18; g = t + 3. If d = 16, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"m": "n + 3", "j": "m + 15", "a": "j + 20", "x": "a + 14", "t": "x + 16", "h": "t + 8", "k": "n + 17", "u": "k + 14", "g": "u + 8", "y": "g + 13", "i": "y + 12", "w": "i + 2", "n": 11}, "premises": {"n": 11}, "target": "h"}, "answer": {"steps": [["t", "x + 16", "x + 24"], ["x", "a + 14", "a + 38"], ["a", "j + 20", "j + 58"], ["j", "m + 15", "m + 73"], ["m", "n + 3", "n + 76"], ["n", 11, "87"]], "target_var_name": "h", "target_value": 87, "value_dict": {"n": 11}, "is_reverse": true}} | 20,652 | 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 + 20; t = x + 16; u = k + 14; j = m + 15; y = g + 13; x = a + 14; i = y + 12; g = u + 8; m = n + 3; n = 11; h = t + 8; w = i + 2; k = n + 17. If n = 11, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = x + 16 to h, which gives h = x + 24.\n2. Substitute x = a + 14 to h, which gives h = a + 38.\n3. Substitute a = j + 20 to h, which gives h = j + 58.\n4. Substitute j = m + 15 to h, which gives h = m + 73.\n5. Substitute m = n + 3 to h, which gives h = n + 76.\n6. Substitute n = 11 to h, which gives h = 87.\n\nThus, the final answer is h = \\boxed{87}.",
"index": 20652,
"question": "Consider a system of variables where each variable is defined as follows: a = j + 20; t = x + 16; u = k + 14; j = m + 15; y = g + 13; x = a + 14; i = y + 12; g = u + 8; m = n + 3; n = 11; h = t + 8; w = i + 2; k = n + 17. If n = 11, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"z": "c + 4", "g": "z + 17", "m": "g + 10", "l": "m + 18", "k": "l + 7", "f": "k + 18", "i": "c + 18", "r": "i + 17", "s": "r + 19", "x": "s + 14", "o": "x + 13", "t": "o + 14", "c": 13}, "premises": {"c": 13}, "target": "f"}, "answer": {"steps": [["k", "l + 7", "l + 25"], ["l", "m + 18", "m + 43"], ["m", "g + 10", "g + 53"], ["g", "z + 17", "z + 70"], ["z", "c + 4", "c + 74"], ["c", 13, "87"]], "target_var_name": "f", "target_value": 87, "value_dict": {"c": 13}, "is_reverse": true}} | 20,653 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = i + 17; g = z + 17; x = s + 14; c = 13; l = m + 18; s = r + 19; k = l + 7; o = x + 13; i = c + 18; t = o + 14; f = k + 18; z = c + 4; m = g + 10. If c = 13, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = l + 7 to f, which gives f = l + 25.\n2. Substitute l = m + 18 to f, which gives f = m + 43.\n3. Substitute m = g + 10 to f, which gives f = g + 53.\n4. Substitute g = z + 17 to f, which gives f = z + 70.\n5. Substitute z = c + 4 to f, which gives f = c + 74.\n6. Substitute c = 13 to f, which gives f = 87.\n\nThus, the final answer is f = \\boxed{87}.",
"index": 20653,
"question": "Consider a system of variables where each variable is defined as follows: r = i + 17; g = z + 17; x = s + 14; c = 13; l = m + 18; s = r + 19; k = l + 7; o = x + 13; i = c + 18; t = o + 14; f = k + 18; z = c + 4; m = g + 10. If c = 13, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"a": "z + 2", "j": "a + 18", "e": "j + 8", "m": "e + 5", "r": "m + 9", "b": "r + 4", "s": "z + 4", "o": "s + 19", "l": "o + 7", "i": "l + 7", "p": "i + 1", "n": "p + 17", "z": 5}, "premises": {"z": 5}, "target": "b"}, "answer": {"steps": [["r", "m + 9", "m + 13"], ["m", "e + 5", "e + 18"], ["e", "j + 8", "j + 26"], ["j", "a + 18", "a + 44"], ["a", "z + 2", "z + 46"], ["z", 5, "51"]], "target_var_name": "b", "target_value": 51, "value_dict": {"z": 5}, "is_reverse": true}} | 20,654 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = l + 7; z = 5; a = z + 2; o = s + 19; j = a + 18; r = m + 9; l = o + 7; p = i + 1; n = p + 17; m = e + 5; b = r + 4; s = z + 4; e = j + 8. Given that z = 5, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = m + 9 to b, which gives b = m + 13.\n2. Substitute m = e + 5 to b, which gives b = e + 18.\n3. Substitute e = j + 8 to b, which gives b = j + 26.\n4. Substitute j = a + 18 to b, which gives b = a + 44.\n5. Substitute a = z + 2 to b, which gives b = z + 46.\n6. Substitute z = 5 to b, which gives b = 51.\n\nThus, the final answer is b = \\boxed{51}.",
"index": 20654,
"question": "Suppose a collection of variables is related by the following definitions: i = l + 7; z = 5; a = z + 2; o = s + 19; j = a + 18; r = m + 9; l = o + 7; p = i + 1; n = p + 17; m = e + 5; b = r + 4; s = z + 4; e = j + 8. Given that z = 5, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"m": "k + 15", "r": "m + 14", "i": "r + 15", "j": "i + 18", "e": "j + 5", "y": "e + 9", "n": "k + 16", "d": "n + 12", "f": "d + 7", "t": "f + 19", "g": "t + 19", "u": "g + 19", "k": 9}, "premises": {"k": 9}, "target": "y"}, "answer": {"steps": [["e", "j + 5", "j + 14"], ["j", "i + 18", "i + 32"], ["i", "r + 15", "r + 47"], ["r", "m + 14", "m + 61"], ["m", "k + 15", "k + 76"], ["k", 9, "85"]], "target_var_name": "y", "target_value": 85, "value_dict": {"k": 9}, "is_reverse": true}} | 20,655 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = k + 15; j = i + 18; g = t + 19; f = d + 7; y = e + 9; u = g + 19; k = 9; e = j + 5; i = r + 15; t = f + 19; n = k + 16; r = m + 14; d = n + 12. If k = 9, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = j + 5 to y, which gives y = j + 14.\n2. Substitute j = i + 18 to y, which gives y = i + 32.\n3. Substitute i = r + 15 to y, which gives y = r + 47.\n4. Substitute r = m + 14 to y, which gives y = m + 61.\n5. Substitute m = k + 15 to y, which gives y = k + 76.\n6. Substitute k = 9 to y, which gives y = 85.\n\nThus, the final answer is y = \\boxed{85}.",
"index": 20655,
"question": "Consider a system of variables where each variable is defined as follows: m = k + 15; j = i + 18; g = t + 19; f = d + 7; y = e + 9; u = g + 19; k = 9; e = j + 5; i = r + 15; t = f + 19; n = k + 16; r = m + 14; d = n + 12. If k = 9, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"h": "m + 16", "s": "h + 15", "u": "s + 7", "f": "u + 4", "r": "f + 15", "n": "r + 13", "d": "m + 17", "c": "d + 12", "z": "c + 6", "x": "z + 1", "l": "x + 14", "p": "l + 11", "m": 10}, "premises": {"m": 10}, "target": "n"}, "answer": {"steps": [["r", "f + 15", "f + 28"], ["f", "u + 4", "u + 32"], ["u", "s + 7", "s + 39"], ["s", "h + 15", "h + 54"], ["h", "m + 16", "m + 70"], ["m", 10, "80"]], "target_var_name": "n", "target_value": 80, "value_dict": {"m": 10}, "is_reverse": true}} | 20,656 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = z + 1; c = d + 12; l = x + 14; m = 10; r = f + 15; s = h + 15; d = m + 17; z = c + 6; p = l + 11; f = u + 4; u = s + 7; n = r + 13; h = m + 16. Given that m = 10, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = f + 15 to n, which gives n = f + 28.\n2. Substitute f = u + 4 to n, which gives n = u + 32.\n3. Substitute u = s + 7 to n, which gives n = s + 39.\n4. Substitute s = h + 15 to n, which gives n = h + 54.\n5. Substitute h = m + 16 to n, which gives n = m + 70.\n6. Substitute m = 10 to n, which gives n = 80.\n\nThus, the final answer is n = \\boxed{80}.",
"index": 20656,
"question": "Suppose a collection of variables is related by the following definitions: x = z + 1; c = d + 12; l = x + 14; m = 10; r = f + 15; s = h + 15; d = m + 17; z = c + 6; p = l + 11; f = u + 4; u = s + 7; n = r + 13; h = m + 16. Given that m = 10, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"y": "f + 1", "s": "y + 18", "v": "s + 5", "o": "v + 9", "a": "o + 20", "w": "a + 8", "l": "f + 15", "q": "l + 12", "i": "q + 13", "b": "i + 8", "n": "b + 16", "d": "n + 3", "f": 12}, "premises": {"f": 12}, "target": "w"}, "answer": {"steps": [["a", "o + 20", "o + 28"], ["o", "v + 9", "v + 37"], ["v", "s + 5", "s + 42"], ["s", "y + 18", "y + 60"], ["y", "f + 1", "f + 61"], ["f", 12, "73"]], "target_var_name": "w", "target_value": 73, "value_dict": {"f": 12}, "is_reverse": true}} | 20,657 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = i + 8; i = q + 13; d = n + 3; s = y + 18; q = l + 12; w = a + 8; a = o + 20; o = v + 9; f = 12; n = b + 16; l = f + 15; v = s + 5; y = f + 1. Given that f = 12, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = o + 20 to w, which gives w = o + 28.\n2. Substitute o = v + 9 to w, which gives w = v + 37.\n3. Substitute v = s + 5 to w, which gives w = s + 42.\n4. Substitute s = y + 18 to w, which gives w = y + 60.\n5. Substitute y = f + 1 to w, which gives w = f + 61.\n6. Substitute f = 12 to w, which gives w = 73.\n\nThus, the final answer is w = \\boxed{73}.",
"index": 20657,
"question": "Suppose a collection of variables is related by the following definitions: b = i + 8; i = q + 13; d = n + 3; s = y + 18; q = l + 12; w = a + 8; a = o + 20; o = v + 9; f = 12; n = b + 16; l = f + 15; v = s + 5; y = f + 1. Given that f = 12, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"t": "a + 7", "b": "t + 2", "e": "b + 2", "c": "e + 19", "w": "c + 20", "p": "w + 19", "y": "a + 7", "u": "y + 19", "i": "u + 13", "j": "i + 6", "x": "j + 3", "l": "x + 14", "a": 16}, "premises": {"a": 16}, "target": "p"}, "answer": {"steps": [["w", "c + 20", "c + 39"], ["c", "e + 19", "e + 58"], ["e", "b + 2", "b + 60"], ["b", "t + 2", "t + 62"], ["t", "a + 7", "a + 69"], ["a", 16, "85"]], "target_var_name": "p", "target_value": 85, "value_dict": {"a": 16}, "is_reverse": true}} | 20,658 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = y + 19; a = 16; y = a + 7; j = i + 6; p = w + 19; t = a + 7; b = t + 2; c = e + 19; i = u + 13; w = c + 20; l = x + 14; e = b + 2; x = j + 3. Given that a = 16, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = c + 20 to p, which gives p = c + 39.\n2. Substitute c = e + 19 to p, which gives p = e + 58.\n3. Substitute e = b + 2 to p, which gives p = b + 60.\n4. Substitute b = t + 2 to p, which gives p = t + 62.\n5. Substitute t = a + 7 to p, which gives p = a + 69.\n6. Substitute a = 16 to p, which gives p = 85.\n\nThus, the final answer is p = \\boxed{85}.",
"index": 20658,
"question": "Suppose a collection of variables is related by the following definitions: u = y + 19; a = 16; y = a + 7; j = i + 6; p = w + 19; t = a + 7; b = t + 2; c = e + 19; i = u + 13; w = c + 20; l = x + 14; e = b + 2; x = j + 3. Given that a = 16, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"z": "f + 3", "b": "z + 4", "k": "b + 8", "d": "k + 15", "i": "d + 12", "q": "i + 5", "l": "f + 17", "w": "l + 1", "g": "w + 20", "t": "g + 10", "s": "t + 5", "a": "s + 1", "f": 6}, "premises": {"f": 6}, "target": "q"}, "answer": {"steps": [["i", "d + 12", "d + 17"], ["d", "k + 15", "k + 32"], ["k", "b + 8", "b + 40"], ["b", "z + 4", "z + 44"], ["z", "f + 3", "f + 47"], ["f", 6, "53"]], "target_var_name": "q", "target_value": 53, "value_dict": {"f": 6}, "is_reverse": true}} | 20,659 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = l + 1; a = s + 1; k = b + 8; t = g + 10; d = k + 15; i = d + 12; l = f + 17; b = z + 4; z = f + 3; g = w + 20; q = i + 5; f = 6; s = t + 5. Given that f = 6, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = d + 12 to q, which gives q = d + 17.\n2. Substitute d = k + 15 to q, which gives q = k + 32.\n3. Substitute k = b + 8 to q, which gives q = b + 40.\n4. Substitute b = z + 4 to q, which gives q = z + 44.\n5. Substitute z = f + 3 to q, which gives q = f + 47.\n6. Substitute f = 6 to q, which gives q = 53.\n\nThus, the final answer is q = \\boxed{53}.",
"index": 20659,
"question": "Suppose a collection of variables is related by the following definitions: w = l + 1; a = s + 1; k = b + 8; t = g + 10; d = k + 15; i = d + 12; l = f + 17; b = z + 4; z = f + 3; g = w + 20; q = i + 5; f = 6; s = t + 5. Given that f = 6, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"b": "c + 18", "f": "b + 14", "s": "f + 1", "t": "s + 16", "z": "t + 20", "d": "z + 14", "u": "c + 11", "v": "u + 19", "k": "v + 14", "a": "k + 17", "r": "a + 3", "j": "r + 6", "c": 5}, "premises": {"c": 5}, "target": "d"}, "answer": {"steps": [["z", "t + 20", "t + 34"], ["t", "s + 16", "s + 50"], ["s", "f + 1", "f + 51"], ["f", "b + 14", "b + 65"], ["b", "c + 18", "c + 83"], ["c", 5, "88"]], "target_var_name": "d", "target_value": 88, "value_dict": {"c": 5}, "is_reverse": true}} | 20,660 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = k + 17; z = t + 20; b = c + 18; c = 5; k = v + 14; r = a + 3; s = f + 1; f = b + 14; d = z + 14; v = u + 19; j = r + 6; t = s + 16; u = c + 11. If c = 5, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = t + 20 to d, which gives d = t + 34.\n2. Substitute t = s + 16 to d, which gives d = s + 50.\n3. Substitute s = f + 1 to d, which gives d = f + 51.\n4. Substitute f = b + 14 to d, which gives d = b + 65.\n5. Substitute b = c + 18 to d, which gives d = c + 83.\n6. Substitute c = 5 to d, which gives d = 88.\n\nThus, the final answer is d = \\boxed{88}.",
"index": 20660,
"question": "Consider a system of variables where each variable is defined as follows: a = k + 17; z = t + 20; b = c + 18; c = 5; k = v + 14; r = a + 3; s = f + 1; f = b + 14; d = z + 14; v = u + 19; j = r + 6; t = s + 16; u = c + 11. If c = 5, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"x": "i + 2", "r": "x + 18", "j": "r + 5", "z": "j + 16", "k": "z + 17", "w": "k + 1", "f": "i + 9", "v": "f + 3", "n": "v + 1", "d": "n + 15", "o": "d + 13", "h": "o + 15", "i": 4}, "premises": {"i": 4}, "target": "w"}, "answer": {"steps": [["k", "z + 17", "z + 18"], ["z", "j + 16", "j + 34"], ["j", "r + 5", "r + 39"], ["r", "x + 18", "x + 57"], ["x", "i + 2", "i + 59"], ["i", 4, "63"]], "target_var_name": "w", "target_value": 63, "value_dict": {"i": 4}, "is_reverse": true}} | 20,661 | 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 = f + 3; f = i + 9; i = 4; n = v + 1; j = r + 5; o = d + 13; x = i + 2; k = z + 17; w = k + 1; z = j + 16; r = x + 18; d = n + 15; h = o + 15. If i = 4, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = z + 17 to w, which gives w = z + 18.\n2. Substitute z = j + 16 to w, which gives w = j + 34.\n3. Substitute j = r + 5 to w, which gives w = r + 39.\n4. Substitute r = x + 18 to w, which gives w = x + 57.\n5. Substitute x = i + 2 to w, which gives w = i + 59.\n6. Substitute i = 4 to w, which gives w = 63.\n\nThus, the final answer is w = \\boxed{63}.",
"index": 20661,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = f + 3; f = i + 9; i = 4; n = v + 1; j = r + 5; o = d + 13; x = i + 2; k = z + 17; w = k + 1; z = j + 16; r = x + 18; d = n + 15; h = o + 15. If i = 4, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"h": "f + 19", "e": "h + 14", "l": "e + 8", "x": "l + 6", "s": "x + 4", "z": "s + 12", "o": "f + 4", "w": "o + 11", "c": "w + 12", "k": "c + 17", "g": "k + 2", "t": "g + 9", "f": 19}, "premises": {"f": 19}, "target": "z"}, "answer": {"steps": [["s", "x + 4", "x + 16"], ["x", "l + 6", "l + 22"], ["l", "e + 8", "e + 30"], ["e", "h + 14", "h + 44"], ["h", "f + 19", "f + 63"], ["f", 19, "82"]], "target_var_name": "z", "target_value": 82, "value_dict": {"f": 19}, "is_reverse": true}} | 20,662 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = c + 17; g = k + 2; l = e + 8; w = o + 11; c = w + 12; h = f + 19; t = g + 9; o = f + 4; e = h + 14; s = x + 4; x = l + 6; z = s + 12; f = 19. Given that f = 19, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = x + 4 to z, which gives z = x + 16.\n2. Substitute x = l + 6 to z, which gives z = l + 22.\n3. Substitute l = e + 8 to z, which gives z = e + 30.\n4. Substitute e = h + 14 to z, which gives z = h + 44.\n5. Substitute h = f + 19 to z, which gives z = f + 63.\n6. Substitute f = 19 to z, which gives z = 82.\n\nThus, the final answer is z = \\boxed{82}.",
"index": 20662,
"question": "Suppose a collection of variables is related by the following definitions: k = c + 17; g = k + 2; l = e + 8; w = o + 11; c = w + 12; h = f + 19; t = g + 9; o = f + 4; e = h + 14; s = x + 4; x = l + 6; z = s + 12; f = 19. Given that f = 19, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"v": "r + 8", "w": "v + 17", "k": "w + 2", "a": "k + 17", "q": "a + 5", "n": "q + 13", "e": "r + 19", "f": "e + 3", "z": "f + 12", "i": "z + 4", "h": "i + 8", "y": "h + 9", "r": 20}, "premises": {"r": 20}, "target": "n"}, "answer": {"steps": [["q", "a + 5", "a + 18"], ["a", "k + 17", "k + 35"], ["k", "w + 2", "w + 37"], ["w", "v + 17", "v + 54"], ["v", "r + 8", "r + 62"], ["r", 20, "82"]], "target_var_name": "n", "target_value": 82, "value_dict": {"r": 20}, "is_reverse": true}} | 20,663 | 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 = h + 9; k = w + 2; r = 20; z = f + 12; v = r + 8; e = r + 19; q = a + 5; h = i + 8; i = z + 4; f = e + 3; n = q + 13; w = v + 17; a = k + 17. If r = 20, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = a + 5 to n, which gives n = a + 18.\n2. Substitute a = k + 17 to n, which gives n = k + 35.\n3. Substitute k = w + 2 to n, which gives n = w + 37.\n4. Substitute w = v + 17 to n, which gives n = v + 54.\n5. Substitute v = r + 8 to n, which gives n = r + 62.\n6. Substitute r = 20 to n, which gives n = 82.\n\nThus, the final answer is n = \\boxed{82}.",
"index": 20663,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = h + 9; k = w + 2; r = 20; z = f + 12; v = r + 8; e = r + 19; q = a + 5; h = i + 8; i = z + 4; f = e + 3; n = q + 13; w = v + 17; a = k + 17. If r = 20, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"i": "m + 17", "f": "i + 6", "k": "f + 1", "z": "k + 18", "t": "z + 4", "l": "t + 18", "y": "m + 8", "r": "y + 14", "g": "r + 19", "w": "g + 3", "v": "w + 5", "a": "v + 20", "m": 18}, "premises": {"m": 18}, "target": "l"}, "answer": {"steps": [["t", "z + 4", "z + 22"], ["z", "k + 18", "k + 40"], ["k", "f + 1", "f + 41"], ["f", "i + 6", "i + 47"], ["i", "m + 17", "m + 64"], ["m", 18, "82"]], "target_var_name": "l", "target_value": 82, "value_dict": {"m": 18}, "is_reverse": true}} | 20,664 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = r + 19; a = v + 20; m = 18; l = t + 18; z = k + 18; f = i + 6; v = w + 5; r = y + 14; k = f + 1; t = z + 4; i = m + 17; w = g + 3; y = m + 8. Given that m = 18, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = z + 4 to l, which gives l = z + 22.\n2. Substitute z = k + 18 to l, which gives l = k + 40.\n3. Substitute k = f + 1 to l, which gives l = f + 41.\n4. Substitute f = i + 6 to l, which gives l = i + 47.\n5. Substitute i = m + 17 to l, which gives l = m + 64.\n6. Substitute m = 18 to l, which gives l = 82.\n\nThus, the final answer is l = \\boxed{82}.",
"index": 20664,
"question": "Suppose a collection of variables is related by the following definitions: g = r + 19; a = v + 20; m = 18; l = t + 18; z = k + 18; f = i + 6; v = w + 5; r = y + 14; k = f + 1; t = z + 4; i = m + 17; w = g + 3; y = m + 8. Given that m = 18, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"f": "q + 11", "w": "f + 2", "e": "w + 7", "j": "e + 19", "t": "j + 6", "l": "t + 10", "s": "q + 18", "g": "s + 18", "b": "g + 13", "n": "b + 10", "i": "n + 5", "r": "i + 20", "q": 2}, "premises": {"q": 2}, "target": "l"}, "answer": {"steps": [["t", "j + 6", "j + 16"], ["j", "e + 19", "e + 35"], ["e", "w + 7", "w + 42"], ["w", "f + 2", "f + 44"], ["f", "q + 11", "q + 55"], ["q", 2, "57"]], "target_var_name": "l", "target_value": 57, "value_dict": {"q": 2}, "is_reverse": true}} | 20,665 | 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 = j + 6; g = s + 18; e = w + 7; q = 2; b = g + 13; f = q + 11; n = b + 10; i = n + 5; j = e + 19; s = q + 18; l = t + 10; r = i + 20; w = f + 2. If q = 2, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = j + 6 to l, which gives l = j + 16.\n2. Substitute j = e + 19 to l, which gives l = e + 35.\n3. Substitute e = w + 7 to l, which gives l = w + 42.\n4. Substitute w = f + 2 to l, which gives l = f + 44.\n5. Substitute f = q + 11 to l, which gives l = q + 55.\n6. Substitute q = 2 to l, which gives l = 57.\n\nThus, the final answer is l = \\boxed{57}.",
"index": 20665,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = j + 6; g = s + 18; e = w + 7; q = 2; b = g + 13; f = q + 11; n = b + 10; i = n + 5; j = e + 19; s = q + 18; l = t + 10; r = i + 20; w = f + 2. If q = 2, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"v": "x + 18", "n": "v + 15", "l": "n + 2", "u": "l + 14", "w": "u + 2", "b": "w + 15", "o": "x + 17", "a": "o + 16", "j": "a + 13", "s": "j + 3", "d": "s + 20", "y": "d + 20", "x": 17}, "premises": {"x": 17}, "target": "b"}, "answer": {"steps": [["w", "u + 2", "u + 17"], ["u", "l + 14", "l + 31"], ["l", "n + 2", "n + 33"], ["n", "v + 15", "v + 48"], ["v", "x + 18", "x + 66"], ["x", 17, "83"]], "target_var_name": "b", "target_value": 83, "value_dict": {"x": 17}, "is_reverse": true}} | 20,666 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = s + 20; j = a + 13; x = 17; y = d + 20; u = l + 14; a = o + 16; o = x + 17; n = v + 15; v = x + 18; w = u + 2; s = j + 3; l = n + 2; b = w + 15. Given that x = 17, find 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 w = u + 2 to b, which gives b = u + 17.\n2. Substitute u = l + 14 to b, which gives b = l + 31.\n3. Substitute l = n + 2 to b, which gives b = n + 33.\n4. Substitute n = v + 15 to b, which gives b = v + 48.\n5. Substitute v = x + 18 to b, which gives b = x + 66.\n6. Substitute x = 17 to b, which gives b = 83.\n\nThus, the final answer is b = \\boxed{83}.",
"index": 20666,
"question": "Suppose a collection of variables is related by the following definitions: d = s + 20; j = a + 13; x = 17; y = d + 20; u = l + 14; a = o + 16; o = x + 17; n = v + 15; v = x + 18; w = u + 2; s = j + 3; l = n + 2; b = w + 15. Given that x = 17, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"g": "x + 18", "t": "g + 2", "i": "t + 20", "m": "i + 13", "z": "m + 12", "f": "z + 12", "s": "x + 12", "p": "s + 3", "y": "p + 7", "r": "y + 9", "q": "r + 16", "a": "q + 18", "x": 7}, "premises": {"x": 7}, "target": "f"}, "answer": {"steps": [["z", "m + 12", "m + 24"], ["m", "i + 13", "i + 37"], ["i", "t + 20", "t + 57"], ["t", "g + 2", "g + 59"], ["g", "x + 18", "x + 77"], ["x", 7, "84"]], "target_var_name": "f", "target_value": 84, "value_dict": {"x": 7}, "is_reverse": true}} | 20,667 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = s + 3; z = m + 12; i = t + 20; r = y + 9; y = p + 7; x = 7; m = i + 13; s = x + 12; f = z + 12; a = q + 18; q = r + 16; g = x + 18; t = g + 2. If x = 7, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = m + 12 to f, which gives f = m + 24.\n2. Substitute m = i + 13 to f, which gives f = i + 37.\n3. Substitute i = t + 20 to f, which gives f = t + 57.\n4. Substitute t = g + 2 to f, which gives f = g + 59.\n5. Substitute g = x + 18 to f, which gives f = x + 77.\n6. Substitute x = 7 to f, which gives f = 84.\n\nThus, the final answer is f = \\boxed{84}.",
"index": 20667,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = s + 3; z = m + 12; i = t + 20; r = y + 9; y = p + 7; x = 7; m = i + 13; s = x + 12; f = z + 12; a = q + 18; q = r + 16; g = x + 18; t = g + 2. If x = 7, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"z": "v + 5", "d": "z + 19", "e": "d + 13", "l": "e + 19", "s": "l + 16", "y": "s + 9", "b": "v + 18", "w": "b + 9", "k": "w + 9", "f": "k + 15", "h": "f + 13", "x": "h + 16", "v": 16}, "premises": {"v": 16}, "target": "y"}, "answer": {"steps": [["s", "l + 16", "l + 25"], ["l", "e + 19", "e + 44"], ["e", "d + 13", "d + 57"], ["d", "z + 19", "z + 76"], ["z", "v + 5", "v + 81"], ["v", 16, "97"]], "target_var_name": "y", "target_value": 97, "value_dict": {"v": 16}, "is_reverse": true}} | 20,668 | 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 = w + 9; h = f + 13; f = k + 15; e = d + 13; b = v + 18; d = z + 19; l = e + 19; z = v + 5; s = l + 16; w = b + 9; x = h + 16; v = 16; y = s + 9. If v = 16, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = l + 16 to y, which gives y = l + 25.\n2. Substitute l = e + 19 to y, which gives y = e + 44.\n3. Substitute e = d + 13 to y, which gives y = d + 57.\n4. Substitute d = z + 19 to y, which gives y = z + 76.\n5. Substitute z = v + 5 to y, which gives y = v + 81.\n6. Substitute v = 16 to y, which gives y = 97.\n\nThus, the final answer is y = \\boxed{97}.",
"index": 20668,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = w + 9; h = f + 13; f = k + 15; e = d + 13; b = v + 18; d = z + 19; l = e + 19; z = v + 5; s = l + 16; w = b + 9; x = h + 16; v = 16; y = s + 9. If v = 16, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"t": "u + 16", "p": "t + 6", "s": "p + 17", "c": "s + 16", "e": "c + 15", "y": "e + 3", "z": "u + 10", "n": "z + 5", "b": "n + 20", "x": "b + 12", "g": "x + 12", "d": "g + 19", "u": 7}, "premises": {"u": 7}, "target": "y"}, "answer": {"steps": [["e", "c + 15", "c + 18"], ["c", "s + 16", "s + 34"], ["s", "p + 17", "p + 51"], ["p", "t + 6", "t + 57"], ["t", "u + 16", "u + 73"], ["u", 7, "80"]], "target_var_name": "y", "target_value": 80, "value_dict": {"u": 7}, "is_reverse": true}} | 20,669 | 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 = u + 16; u = 7; s = p + 17; y = e + 3; e = c + 15; b = n + 20; x = b + 12; d = g + 19; p = t + 6; c = s + 16; z = u + 10; g = x + 12; n = z + 5. If u = 7, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = c + 15 to y, which gives y = c + 18.\n2. Substitute c = s + 16 to y, which gives y = s + 34.\n3. Substitute s = p + 17 to y, which gives y = p + 51.\n4. Substitute p = t + 6 to y, which gives y = t + 57.\n5. Substitute t = u + 16 to y, which gives y = u + 73.\n6. Substitute u = 7 to y, which gives y = 80.\n\nThus, the final answer is y = \\boxed{80}.",
"index": 20669,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = u + 16; u = 7; s = p + 17; y = e + 3; e = c + 15; b = n + 20; x = b + 12; d = g + 19; p = t + 6; c = s + 16; z = u + 10; g = x + 12; n = z + 5. If u = 7, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"g": "k + 1", "d": "g + 10", "h": "d + 15", "v": "h + 11", "b": "v + 13", "e": "b + 3", "x": "k + 17", "l": "x + 4", "u": "l + 12", "p": "u + 3", "c": "p + 5", "r": "c + 17", "k": 1}, "premises": {"k": 1}, "target": "e"}, "answer": {"steps": [["b", "v + 13", "v + 16"], ["v", "h + 11", "h + 27"], ["h", "d + 15", "d + 42"], ["d", "g + 10", "g + 52"], ["g", "k + 1", "k + 53"], ["k", 1, "54"]], "target_var_name": "e", "target_value": 54, "value_dict": {"k": 1}, "is_reverse": true}} | 20,670 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = k + 17; v = h + 11; r = c + 17; l = x + 4; k = 1; d = g + 10; h = d + 15; b = v + 13; e = b + 3; c = p + 5; p = u + 3; g = k + 1; u = l + 12. Given that k = 1, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = v + 13 to e, which gives e = v + 16.\n2. Substitute v = h + 11 to e, which gives e = h + 27.\n3. Substitute h = d + 15 to e, which gives e = d + 42.\n4. Substitute d = g + 10 to e, which gives e = g + 52.\n5. Substitute g = k + 1 to e, which gives e = k + 53.\n6. Substitute k = 1 to e, which gives e = 54.\n\nThus, the final answer is e = \\boxed{54}.",
"index": 20670,
"question": "Suppose a collection of variables is related by the following definitions: x = k + 17; v = h + 11; r = c + 17; l = x + 4; k = 1; d = g + 10; h = d + 15; b = v + 13; e = b + 3; c = p + 5; p = u + 3; g = k + 1; u = l + 12. Given that k = 1, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"w": "f + 6", "v": "w + 20", "b": "v + 6", "p": "b + 17", "r": "p + 1", "x": "r + 17", "l": "f + 14", "m": "l + 13", "g": "m + 7", "q": "g + 19", "z": "q + 17", "c": "z + 1", "f": 4}, "premises": {"f": 4}, "target": "x"}, "answer": {"steps": [["r", "p + 1", "p + 18"], ["p", "b + 17", "b + 35"], ["b", "v + 6", "v + 41"], ["v", "w + 20", "w + 61"], ["w", "f + 6", "f + 67"], ["f", 4, "71"]], "target_var_name": "x", "target_value": 71, "value_dict": {"f": 4}, "is_reverse": true}} | 20,671 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = v + 6; f = 4; l = f + 14; c = z + 1; v = w + 20; p = b + 17; m = l + 13; w = f + 6; g = m + 7; z = q + 17; q = g + 19; x = r + 17; r = p + 1. Given that f = 4, find the 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 r = p + 1 to x, which gives x = p + 18.\n2. Substitute p = b + 17 to x, which gives x = b + 35.\n3. Substitute b = v + 6 to x, which gives x = v + 41.\n4. Substitute v = w + 20 to x, which gives x = w + 61.\n5. Substitute w = f + 6 to x, which gives x = f + 67.\n6. Substitute f = 4 to x, which gives x = 71.\n\nThus, the final answer is x = \\boxed{71}.",
"index": 20671,
"question": "Suppose a collection of variables is related by the following definitions: b = v + 6; f = 4; l = f + 14; c = z + 1; v = w + 20; p = b + 17; m = l + 13; w = f + 6; g = m + 7; z = q + 17; q = g + 19; x = r + 17; r = p + 1. Given that f = 4, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"g": "c + 3", "m": "g + 9", "f": "m + 11", "k": "f + 4", "q": "k + 2", "v": "q + 9", "o": "c + 6", "n": "o + 4", "j": "n + 12", "l": "j + 10", "b": "l + 4", "w": "b + 9", "c": 13}, "premises": {"c": 13}, "target": "v"}, "answer": {"steps": [["q", "k + 2", "k + 11"], ["k", "f + 4", "f + 15"], ["f", "m + 11", "m + 26"], ["m", "g + 9", "g + 35"], ["g", "c + 3", "c + 38"], ["c", 13, "51"]], "target_var_name": "v", "target_value": 51, "value_dict": {"c": 13}, "is_reverse": true}} | 20,672 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = g + 9; v = q + 9; k = f + 4; w = b + 9; q = k + 2; b = l + 4; c = 13; j = n + 12; f = m + 11; l = j + 10; g = c + 3; n = o + 4; o = c + 6. If c = 13, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = k + 2 to v, which gives v = k + 11.\n2. Substitute k = f + 4 to v, which gives v = f + 15.\n3. Substitute f = m + 11 to v, which gives v = m + 26.\n4. Substitute m = g + 9 to v, which gives v = g + 35.\n5. Substitute g = c + 3 to v, which gives v = c + 38.\n6. Substitute c = 13 to v, which gives v = 51.\n\nThus, the final answer is v = \\boxed{51}.",
"index": 20672,
"question": "Consider a system of variables where each variable is defined as follows: m = g + 9; v = q + 9; k = f + 4; w = b + 9; q = k + 2; b = l + 4; c = 13; j = n + 12; f = m + 11; l = j + 10; g = c + 3; n = o + 4; o = c + 6. If c = 13, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"h": "j + 15", "y": "h + 18", "p": "y + 7", "b": "p + 17", "s": "b + 14", "v": "s + 13", "k": "j + 8", "m": "k + 3", "i": "m + 7", "l": "i + 16", "n": "l + 11", "q": "n + 14", "j": 11}, "premises": {"j": 11}, "target": "v"}, "answer": {"steps": [["s", "b + 14", "b + 27"], ["b", "p + 17", "p + 44"], ["p", "y + 7", "y + 51"], ["y", "h + 18", "h + 69"], ["h", "j + 15", "j + 84"], ["j", 11, "95"]], "target_var_name": "v", "target_value": 95, "value_dict": {"j": 11}, "is_reverse": true}} | 20,673 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = s + 13; s = b + 14; y = h + 18; b = p + 17; i = m + 7; q = n + 14; h = j + 15; n = l + 11; j = 11; p = y + 7; m = k + 3; k = j + 8; l = i + 16. Given that j = 11, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = b + 14 to v, which gives v = b + 27.\n2. Substitute b = p + 17 to v, which gives v = p + 44.\n3. Substitute p = y + 7 to v, which gives v = y + 51.\n4. Substitute y = h + 18 to v, which gives v = h + 69.\n5. Substitute h = j + 15 to v, which gives v = j + 84.\n6. Substitute j = 11 to v, which gives v = 95.\n\nThus, the final answer is v = \\boxed{95}.",
"index": 20673,
"question": "Suppose a collection of variables is related by the following definitions: v = s + 13; s = b + 14; y = h + 18; b = p + 17; i = m + 7; q = n + 14; h = j + 15; n = l + 11; j = 11; p = y + 7; m = k + 3; k = j + 8; l = i + 16. Given that j = 11, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"m": "c + 11", "d": "m + 5", "b": "d + 3", "v": "b + 19", "a": "v + 11", "s": "a + 10", "f": "c + 7", "p": "f + 13", "e": "p + 14", "u": "e + 9", "y": "u + 10", "o": "y + 11", "c": 15}, "premises": {"c": 15}, "target": "s"}, "answer": {"steps": [["a", "v + 11", "v + 21"], ["v", "b + 19", "b + 40"], ["b", "d + 3", "d + 43"], ["d", "m + 5", "m + 48"], ["m", "c + 11", "c + 59"], ["c", 15, "74"]], "target_var_name": "s", "target_value": 74, "value_dict": {"c": 15}, "is_reverse": true}} | 20,674 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = a + 10; e = p + 14; u = e + 9; y = u + 10; b = d + 3; d = m + 5; c = 15; m = c + 11; a = v + 11; o = y + 11; v = b + 19; f = c + 7; p = f + 13. Given that c = 15, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = v + 11 to s, which gives s = v + 21.\n2. Substitute v = b + 19 to s, which gives s = b + 40.\n3. Substitute b = d + 3 to s, which gives s = d + 43.\n4. Substitute d = m + 5 to s, which gives s = m + 48.\n5. Substitute m = c + 11 to s, which gives s = c + 59.\n6. Substitute c = 15 to s, which gives s = 74.\n\nThus, the final answer is s = \\boxed{74}.",
"index": 20674,
"question": "Suppose a collection of variables is related by the following definitions: s = a + 10; e = p + 14; u = e + 9; y = u + 10; b = d + 3; d = m + 5; c = 15; m = c + 11; a = v + 11; o = y + 11; v = b + 19; f = c + 7; p = f + 13. Given that c = 15, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"v": "q + 12", "c": "v + 13", "z": "c + 14", "o": "z + 20", "y": "o + 5", "n": "y + 17", "f": "q + 8", "g": "f + 3", "w": "g + 3", "e": "w + 9", "d": "e + 2", "j": "d + 2", "q": 17}, "premises": {"q": 17}, "target": "n"}, "answer": {"steps": [["y", "o + 5", "o + 22"], ["o", "z + 20", "z + 42"], ["z", "c + 14", "c + 56"], ["c", "v + 13", "v + 69"], ["v", "q + 12", "q + 81"], ["q", 17, "98"]], "target_var_name": "n", "target_value": 98, "value_dict": {"q": 17}, "is_reverse": true}} | 20,675 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = z + 20; d = e + 2; v = q + 12; g = f + 3; z = c + 14; n = y + 17; y = o + 5; w = g + 3; e = w + 9; c = v + 13; j = d + 2; f = q + 8; q = 17. If q = 17, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = o + 5 to n, which gives n = o + 22.\n2. Substitute o = z + 20 to n, which gives n = z + 42.\n3. Substitute z = c + 14 to n, which gives n = c + 56.\n4. Substitute c = v + 13 to n, which gives n = v + 69.\n5. Substitute v = q + 12 to n, which gives n = q + 81.\n6. Substitute q = 17 to n, which gives n = 98.\n\nThus, the final answer is n = \\boxed{98}.",
"index": 20675,
"question": "Consider a system of variables where each variable is defined as follows: o = z + 20; d = e + 2; v = q + 12; g = f + 3; z = c + 14; n = y + 17; y = o + 5; w = g + 3; e = w + 9; c = v + 13; j = d + 2; f = q + 8; q = 17. If q = 17, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"r": "x + 1", "n": "r + 5", "g": "n + 5", "q": "g + 13", "i": "q + 3", "a": "i + 5", "d": "x + 19", "y": "d + 18", "k": "y + 6", "j": "k + 7", "z": "j + 9", "s": "z + 13", "x": 11}, "premises": {"x": 11}, "target": "a"}, "answer": {"steps": [["i", "q + 3", "q + 8"], ["q", "g + 13", "g + 21"], ["g", "n + 5", "n + 26"], ["n", "r + 5", "r + 31"], ["r", "x + 1", "x + 32"], ["x", 11, "43"]], "target_var_name": "a", "target_value": 43, "value_dict": {"x": 11}, "is_reverse": true}} | 20,676 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = d + 18; a = i + 5; n = r + 5; i = q + 3; z = j + 9; x = 11; k = y + 6; s = z + 13; j = k + 7; g = n + 5; q = g + 13; r = x + 1; d = x + 19. If x = 11, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = q + 3 to a, which gives a = q + 8.\n2. Substitute q = g + 13 to a, which gives a = g + 21.\n3. Substitute g = n + 5 to a, which gives a = n + 26.\n4. Substitute n = r + 5 to a, which gives a = r + 31.\n5. Substitute r = x + 1 to a, which gives a = x + 32.\n6. Substitute x = 11 to a, which gives a = 43.\n\nThus, the final answer is a = \\boxed{43}.",
"index": 20676,
"question": "Consider a system of variables where each variable is defined as follows: y = d + 18; a = i + 5; n = r + 5; i = q + 3; z = j + 9; x = 11; k = y + 6; s = z + 13; j = k + 7; g = n + 5; q = g + 13; r = x + 1; d = x + 19. If x = 11, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"p": "a + 14", "q": "p + 11", "h": "q + 3", "g": "h + 17", "y": "g + 4", "b": "y + 12", "t": "a + 5", "o": "t + 18", "e": "o + 2", "j": "e + 18", "l": "j + 8", "v": "l + 5", "a": 16}, "premises": {"a": 16}, "target": "b"}, "answer": {"steps": [["y", "g + 4", "g + 16"], ["g", "h + 17", "h + 33"], ["h", "q + 3", "q + 36"], ["q", "p + 11", "p + 47"], ["p", "a + 14", "a + 61"], ["a", 16, "77"]], "target_var_name": "b", "target_value": 77, "value_dict": {"a": 16}, "is_reverse": true}} | 20,677 | 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 = o + 2; y = g + 4; v = l + 5; l = j + 8; j = e + 18; h = q + 3; q = p + 11; g = h + 17; o = t + 18; a = 16; p = a + 14; b = y + 12; t = a + 5. If a = 16, 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 y = g + 4 to b, which gives b = g + 16.\n2. Substitute g = h + 17 to b, which gives b = h + 33.\n3. Substitute h = q + 3 to b, which gives b = q + 36.\n4. Substitute q = p + 11 to b, which gives b = p + 47.\n5. Substitute p = a + 14 to b, which gives b = a + 61.\n6. Substitute a = 16 to b, which gives b = 77.\n\nThus, the final answer is b = \\boxed{77}.",
"index": 20677,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = o + 2; y = g + 4; v = l + 5; l = j + 8; j = e + 18; h = q + 3; q = p + 11; g = h + 17; o = t + 18; a = 16; p = a + 14; b = y + 12; t = a + 5. If a = 16, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"d": "s + 9", "u": "d + 3", "q": "u + 15", "n": "q + 15", "r": "n + 20", "h": "r + 5", "a": "s + 17", "k": "a + 4", "i": "k + 20", "m": "i + 19", "w": "m + 10", "p": "w + 17", "s": 14}, "premises": {"s": 14}, "target": "h"}, "answer": {"steps": [["r", "n + 20", "n + 25"], ["n", "q + 15", "q + 40"], ["q", "u + 15", "u + 55"], ["u", "d + 3", "d + 58"], ["d", "s + 9", "s + 67"], ["s", 14, "81"]], "target_var_name": "h", "target_value": 81, "value_dict": {"s": 14}, "is_reverse": true}} | 20,678 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = u + 15; r = n + 20; h = r + 5; p = w + 17; w = m + 10; s = 14; n = q + 15; u = d + 3; k = a + 4; i = k + 20; d = s + 9; a = s + 17; m = i + 19. Given that s = 14, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = n + 20 to h, which gives h = n + 25.\n2. Substitute n = q + 15 to h, which gives h = q + 40.\n3. Substitute q = u + 15 to h, which gives h = u + 55.\n4. Substitute u = d + 3 to h, which gives h = d + 58.\n5. Substitute d = s + 9 to h, which gives h = s + 67.\n6. Substitute s = 14 to h, which gives h = 81.\n\nThus, the final answer is h = \\boxed{81}.",
"index": 20678,
"question": "Suppose a collection of variables is related by the following definitions: q = u + 15; r = n + 20; h = r + 5; p = w + 17; w = m + 10; s = 14; n = q + 15; u = d + 3; k = a + 4; i = k + 20; d = s + 9; a = s + 17; m = i + 19. Given that s = 14, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"v": "g + 20", "n": "v + 9", "z": "n + 3", "y": "z + 10", "m": "y + 2", "l": "m + 1", "k": "g + 6", "h": "k + 19", "t": "h + 8", "w": "t + 9", "p": "w + 13", "o": "p + 20", "g": 19}, "premises": {"g": 19}, "target": "l"}, "answer": {"steps": [["m", "y + 2", "y + 3"], ["y", "z + 10", "z + 13"], ["z", "n + 3", "n + 16"], ["n", "v + 9", "v + 25"], ["v", "g + 20", "g + 45"], ["g", 19, "64"]], "target_var_name": "l", "target_value": 64, "value_dict": {"g": 19}, "is_reverse": true}} | 20,679 | 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 = k + 19; z = n + 3; m = y + 2; t = h + 8; y = z + 10; l = m + 1; k = g + 6; n = v + 9; w = t + 9; g = 19; v = g + 20; o = p + 20; p = w + 13. If g = 19, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = y + 2 to l, which gives l = y + 3.\n2. Substitute y = z + 10 to l, which gives l = z + 13.\n3. Substitute z = n + 3 to l, which gives l = n + 16.\n4. Substitute n = v + 9 to l, which gives l = v + 25.\n5. Substitute v = g + 20 to l, which gives l = g + 45.\n6. Substitute g = 19 to l, which gives l = 64.\n\nThus, the final answer is l = \\boxed{64}.",
"index": 20679,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = k + 19; z = n + 3; m = y + 2; t = h + 8; y = z + 10; l = m + 1; k = g + 6; n = v + 9; w = t + 9; g = 19; v = g + 20; o = p + 20; p = w + 13. If g = 19, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"x": "p + 13", "v": "x + 8", "w": "v + 9", "c": "w + 16", "n": "c + 12", "f": "n + 11", "q": "p + 2", "z": "q + 1", "m": "z + 7", "b": "m + 20", "i": "b + 15", "o": "i + 4", "p": 8}, "premises": {"p": 8}, "target": "f"}, "answer": {"steps": [["n", "c + 12", "c + 23"], ["c", "w + 16", "w + 39"], ["w", "v + 9", "v + 48"], ["v", "x + 8", "x + 56"], ["x", "p + 13", "p + 69"], ["p", 8, "77"]], "target_var_name": "f", "target_value": 77, "value_dict": {"p": 8}, "is_reverse": true}} | 20,680 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = x + 8; b = m + 20; p = 8; n = c + 12; i = b + 15; c = w + 16; m = z + 7; w = v + 9; x = p + 13; z = q + 1; f = n + 11; o = i + 4; q = p + 2. If p = 8, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = c + 12 to f, which gives f = c + 23.\n2. Substitute c = w + 16 to f, which gives f = w + 39.\n3. Substitute w = v + 9 to f, which gives f = v + 48.\n4. Substitute v = x + 8 to f, which gives f = x + 56.\n5. Substitute x = p + 13 to f, which gives f = p + 69.\n6. Substitute p = 8 to f, which gives f = 77.\n\nThus, the final answer is f = \\boxed{77}.",
"index": 20680,
"question": "Consider a system of variables where each variable is defined as follows: v = x + 8; b = m + 20; p = 8; n = c + 12; i = b + 15; c = w + 16; m = z + 7; w = v + 9; x = p + 13; z = q + 1; f = n + 11; o = i + 4; q = p + 2. If p = 8, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"p": "w + 13", "q": "p + 1", "k": "q + 3", "b": "k + 11", "c": "b + 18", "a": "c + 4", "j": "w + 12", "z": "j + 20", "x": "z + 7", "n": "x + 3", "u": "n + 19", "d": "u + 14", "w": 15}, "premises": {"w": 15}, "target": "a"}, "answer": {"steps": [["c", "b + 18", "b + 22"], ["b", "k + 11", "k + 33"], ["k", "q + 3", "q + 36"], ["q", "p + 1", "p + 37"], ["p", "w + 13", "w + 50"], ["w", 15, "65"]], "target_var_name": "a", "target_value": 65, "value_dict": {"w": 15}, "is_reverse": true}} | 20,681 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = c + 4; b = k + 11; j = w + 12; q = p + 1; u = n + 19; w = 15; k = q + 3; n = x + 3; x = z + 7; c = b + 18; d = u + 14; z = j + 20; p = w + 13. If w = 15, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = b + 18 to a, which gives a = b + 22.\n2. Substitute b = k + 11 to a, which gives a = k + 33.\n3. Substitute k = q + 3 to a, which gives a = q + 36.\n4. Substitute q = p + 1 to a, which gives a = p + 37.\n5. Substitute p = w + 13 to a, which gives a = w + 50.\n6. Substitute w = 15 to a, which gives a = 65.\n\nThus, the final answer is a = \\boxed{65}.",
"index": 20681,
"question": "Consider a system of variables where each variable is defined as follows: a = c + 4; b = k + 11; j = w + 12; q = p + 1; u = n + 19; w = 15; k = q + 3; n = x + 3; x = z + 7; c = b + 18; d = u + 14; z = j + 20; p = w + 13. If w = 15, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"v": "i + 13", "s": "v + 2", "b": "s + 3", "m": "b + 4", "u": "m + 16", "k": "u + 1", "t": "i + 2", "x": "t + 3", "r": "x + 4", "o": "r + 19", "l": "o + 12", "d": "l + 16", "i": 19}, "premises": {"i": 19}, "target": "k"}, "answer": {"steps": [["u", "m + 16", "m + 17"], ["m", "b + 4", "b + 21"], ["b", "s + 3", "s + 24"], ["s", "v + 2", "v + 26"], ["v", "i + 13", "i + 39"], ["i", 19, "58"]], "target_var_name": "k", "target_value": 58, "value_dict": {"i": 19}, "is_reverse": true}} | 20,682 | 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 = x + 4; b = s + 3; x = t + 3; v = i + 13; d = l + 16; l = o + 12; t = i + 2; k = u + 1; u = m + 16; s = v + 2; m = b + 4; i = 19; o = r + 19. If i = 19, what is the resulting 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 u = m + 16 to k, which gives k = m + 17.\n2. Substitute m = b + 4 to k, which gives k = b + 21.\n3. Substitute b = s + 3 to k, which gives k = s + 24.\n4. Substitute s = v + 2 to k, which gives k = v + 26.\n5. Substitute v = i + 13 to k, which gives k = i + 39.\n6. Substitute i = 19 to k, which gives k = 58.\n\nThus, the final answer is k = \\boxed{58}.",
"index": 20682,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = x + 4; b = s + 3; x = t + 3; v = i + 13; d = l + 16; l = o + 12; t = i + 2; k = u + 1; u = m + 16; s = v + 2; m = b + 4; i = 19; o = r + 19. If i = 19, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"k": "t + 18", "w": "k + 19", "i": "w + 20", "d": "i + 13", "z": "d + 19", "c": "z + 18", "q": "t + 6", "f": "q + 2", "g": "f + 16", "b": "g + 6", "p": "b + 13", "o": "p + 1", "t": 13}, "premises": {"t": 13}, "target": "c"}, "answer": {"steps": [["z", "d + 19", "d + 37"], ["d", "i + 13", "i + 50"], ["i", "w + 20", "w + 70"], ["w", "k + 19", "k + 89"], ["k", "t + 18", "t + 107"], ["t", 13, "120"]], "target_var_name": "c", "target_value": 120, "value_dict": {"t": 13}, "is_reverse": true}} | 20,683 | 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 = g + 6; g = f + 16; c = z + 18; d = i + 13; o = p + 1; f = q + 2; k = t + 18; q = t + 6; w = k + 19; i = w + 20; z = d + 19; t = 13; p = b + 13. If t = 13, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 120,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = d + 19 to c, which gives c = d + 37.\n2. Substitute d = i + 13 to c, which gives c = i + 50.\n3. Substitute i = w + 20 to c, which gives c = w + 70.\n4. Substitute w = k + 19 to c, which gives c = k + 89.\n5. Substitute k = t + 18 to c, which gives c = t + 107.\n6. Substitute t = 13 to c, which gives c = 120.\n\nThus, the final answer is c = \\boxed{120}.",
"index": 20683,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = g + 6; g = f + 16; c = z + 18; d = i + 13; o = p + 1; f = q + 2; k = t + 18; q = t + 6; w = k + 19; i = w + 20; z = d + 19; t = 13; p = b + 13. If t = 13, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"e": "i + 11", "g": "e + 17", "w": "g + 14", "u": "w + 2", "n": "u + 2", "f": "n + 17", "r": "i + 15", "x": "r + 1", "k": "x + 6", "q": "k + 15", "b": "q + 10", "o": "b + 2", "i": 3}, "premises": {"i": 3}, "target": "f"}, "answer": {"steps": [["n", "u + 2", "u + 19"], ["u", "w + 2", "w + 21"], ["w", "g + 14", "g + 35"], ["g", "e + 17", "e + 52"], ["e", "i + 11", "i + 63"], ["i", 3, "66"]], "target_var_name": "f", "target_value": 66, "value_dict": {"i": 3}, "is_reverse": true}} | 20,684 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = i + 11; q = k + 15; u = w + 2; o = b + 2; k = x + 6; i = 3; x = r + 1; b = q + 10; n = u + 2; g = e + 17; r = i + 15; w = g + 14; f = n + 17. If i = 3, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = u + 2 to f, which gives f = u + 19.\n2. Substitute u = w + 2 to f, which gives f = w + 21.\n3. Substitute w = g + 14 to f, which gives f = g + 35.\n4. Substitute g = e + 17 to f, which gives f = e + 52.\n5. Substitute e = i + 11 to f, which gives f = i + 63.\n6. Substitute i = 3 to f, which gives f = 66.\n\nThus, the final answer is f = \\boxed{66}.",
"index": 20684,
"question": "Consider a system of variables where each variable is defined as follows: e = i + 11; q = k + 15; u = w + 2; o = b + 2; k = x + 6; i = 3; x = r + 1; b = q + 10; n = u + 2; g = e + 17; r = i + 15; w = g + 14; f = n + 17. If i = 3, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"k": "q + 14", "l": "k + 18", "x": "l + 14", "b": "x + 20", "p": "b + 20", "o": "p + 5", "d": "q + 6", "v": "d + 14", "z": "v + 19", "m": "z + 7", "e": "m + 5", "s": "e + 15", "q": 8}, "premises": {"q": 8}, "target": "o"}, "answer": {"steps": [["p", "b + 20", "b + 25"], ["b", "x + 20", "x + 45"], ["x", "l + 14", "l + 59"], ["l", "k + 18", "k + 77"], ["k", "q + 14", "q + 91"], ["q", 8, "99"]], "target_var_name": "o", "target_value": 99, "value_dict": {"q": 8}, "is_reverse": true}} | 20,685 | 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 = p + 5; e = m + 5; z = v + 19; l = k + 18; v = d + 14; m = z + 7; x = l + 14; s = e + 15; q = 8; d = q + 6; b = x + 20; k = q + 14; p = b + 20. If q = 8, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = b + 20 to o, which gives o = b + 25.\n2. Substitute b = x + 20 to o, which gives o = x + 45.\n3. Substitute x = l + 14 to o, which gives o = l + 59.\n4. Substitute l = k + 18 to o, which gives o = k + 77.\n5. Substitute k = q + 14 to o, which gives o = q + 91.\n6. Substitute q = 8 to o, which gives o = 99.\n\nThus, the final answer is o = \\boxed{99}.",
"index": 20685,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = p + 5; e = m + 5; z = v + 19; l = k + 18; v = d + 14; m = z + 7; x = l + 14; s = e + 15; q = 8; d = q + 6; b = x + 20; k = q + 14; p = b + 20. If q = 8, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"m": "t + 17", "r": "m + 20", "j": "r + 1", "w": "j + 4", "u": "w + 15", "a": "u + 4", "e": "t + 12", "c": "e + 18", "o": "c + 13", "y": "o + 2", "f": "y + 4", "x": "f + 19", "t": 8}, "premises": {"t": 8}, "target": "a"}, "answer": {"steps": [["u", "w + 15", "w + 19"], ["w", "j + 4", "j + 23"], ["j", "r + 1", "r + 24"], ["r", "m + 20", "m + 44"], ["m", "t + 17", "t + 61"], ["t", 8, "69"]], "target_var_name": "a", "target_value": 69, "value_dict": {"t": 8}, "is_reverse": true}} | 20,686 | 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 + 4; j = r + 1; u = w + 15; w = j + 4; t = 8; f = y + 4; m = t + 17; x = f + 19; e = t + 12; r = m + 20; o = c + 13; y = o + 2; c = e + 18. If t = 8, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = w + 15 to a, which gives a = w + 19.\n2. Substitute w = j + 4 to a, which gives a = j + 23.\n3. Substitute j = r + 1 to a, which gives a = r + 24.\n4. Substitute r = m + 20 to a, which gives a = m + 44.\n5. Substitute m = t + 17 to a, which gives a = t + 61.\n6. Substitute t = 8 to a, which gives a = 69.\n\nThus, the final answer is a = \\boxed{69}.",
"index": 20686,
"question": "Consider a system of variables where each variable is defined as follows: a = u + 4; j = r + 1; u = w + 15; w = j + 4; t = 8; f = y + 4; m = t + 17; x = f + 19; e = t + 12; r = m + 20; o = c + 13; y = o + 2; c = e + 18. If t = 8, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"s": "k + 8", "z": "s + 9", "f": "z + 17", "o": "f + 11", "g": "o + 12", "d": "g + 4", "r": "k + 4", "a": "r + 4", "w": "a + 1", "i": "w + 12", "t": "i + 20", "b": "t + 12", "k": 15}, "premises": {"k": 15}, "target": "d"}, "answer": {"steps": [["g", "o + 12", "o + 16"], ["o", "f + 11", "f + 27"], ["f", "z + 17", "z + 44"], ["z", "s + 9", "s + 53"], ["s", "k + 8", "k + 61"], ["k", 15, "76"]], "target_var_name": "d", "target_value": 76, "value_dict": {"k": 15}, "is_reverse": true}} | 20,687 | 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 = z + 17; w = a + 1; a = r + 4; z = s + 9; o = f + 11; g = o + 12; k = 15; s = k + 8; i = w + 12; t = i + 20; b = t + 12; d = g + 4; r = k + 4. If k = 15, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = o + 12 to d, which gives d = o + 16.\n2. Substitute o = f + 11 to d, which gives d = f + 27.\n3. Substitute f = z + 17 to d, which gives d = z + 44.\n4. Substitute z = s + 9 to d, which gives d = s + 53.\n5. Substitute s = k + 8 to d, which gives d = k + 61.\n6. Substitute k = 15 to d, which gives d = 76.\n\nThus, the final answer is d = \\boxed{76}.",
"index": 20687,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = z + 17; w = a + 1; a = r + 4; z = s + 9; o = f + 11; g = o + 12; k = 15; s = k + 8; i = w + 12; t = i + 20; b = t + 12; d = g + 4; r = k + 4. If k = 15, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"i": "x + 3", "h": "i + 7", "g": "h + 17", "a": "g + 16", "t": "a + 15", "s": "t + 5", "m": "x + 8", "u": "m + 10", "d": "u + 7", "r": "d + 14", "n": "r + 4", "b": "n + 15", "x": 2}, "premises": {"x": 2}, "target": "s"}, "answer": {"steps": [["t", "a + 15", "a + 20"], ["a", "g + 16", "g + 36"], ["g", "h + 17", "h + 53"], ["h", "i + 7", "i + 60"], ["i", "x + 3", "x + 63"], ["x", 2, "65"]], "target_var_name": "s", "target_value": 65, "value_dict": {"x": 2}, "is_reverse": true}} | 20,688 | 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 = i + 7; a = g + 16; b = n + 15; t = a + 15; r = d + 14; g = h + 17; i = x + 3; s = t + 5; u = m + 10; m = x + 8; x = 2; n = r + 4; d = u + 7. If x = 2, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = a + 15 to s, which gives s = a + 20.\n2. Substitute a = g + 16 to s, which gives s = g + 36.\n3. Substitute g = h + 17 to s, which gives s = h + 53.\n4. Substitute h = i + 7 to s, which gives s = i + 60.\n5. Substitute i = x + 3 to s, which gives s = x + 63.\n6. Substitute x = 2 to s, which gives s = 65.\n\nThus, the final answer is s = \\boxed{65}.",
"index": 20688,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = i + 7; a = g + 16; b = n + 15; t = a + 15; r = d + 14; g = h + 17; i = x + 3; s = t + 5; u = m + 10; m = x + 8; x = 2; n = r + 4; d = u + 7. If x = 2, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"b": "c + 2", "d": "b + 8", "o": "d + 9", "t": "o + 9", "r": "t + 20", "p": "r + 10", "y": "c + 20", "n": "y + 8", "m": "n + 6", "u": "m + 6", "e": "u + 14", "v": "e + 18", "c": 17}, "premises": {"c": 17}, "target": "p"}, "answer": {"steps": [["r", "t + 20", "t + 30"], ["t", "o + 9", "o + 39"], ["o", "d + 9", "d + 48"], ["d", "b + 8", "b + 56"], ["b", "c + 2", "c + 58"], ["c", 17, "75"]], "target_var_name": "p", "target_value": 75, "value_dict": {"c": 17}, "is_reverse": true}} | 20,689 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = e + 18; e = u + 14; r = t + 20; m = n + 6; t = o + 9; c = 17; o = d + 9; p = r + 10; y = c + 20; n = y + 8; d = b + 8; b = c + 2; u = m + 6. If c = 17, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = t + 20 to p, which gives p = t + 30.\n2. Substitute t = o + 9 to p, which gives p = o + 39.\n3. Substitute o = d + 9 to p, which gives p = d + 48.\n4. Substitute d = b + 8 to p, which gives p = b + 56.\n5. Substitute b = c + 2 to p, which gives p = c + 58.\n6. Substitute c = 17 to p, which gives p = 75.\n\nThus, the final answer is p = \\boxed{75}.",
"index": 20689,
"question": "Consider a system of variables where each variable is defined as follows: v = e + 18; e = u + 14; r = t + 20; m = n + 6; t = o + 9; c = 17; o = d + 9; p = r + 10; y = c + 20; n = y + 8; d = b + 8; b = c + 2; u = m + 6. If c = 17, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"l": "g + 8", "y": "l + 1", "k": "y + 1", "q": "k + 2", "t": "q + 12", "h": "t + 14", "w": "g + 20", "p": "w + 10", "b": "p + 15", "v": "b + 4", "j": "v + 9", "s": "j + 7", "g": 5}, "premises": {"g": 5}, "target": "h"}, "answer": {"steps": [["t", "q + 12", "q + 26"], ["q", "k + 2", "k + 28"], ["k", "y + 1", "y + 29"], ["y", "l + 1", "l + 30"], ["l", "g + 8", "g + 38"], ["g", 5, "43"]], "target_var_name": "h", "target_value": 43, "value_dict": {"g": 5}, "is_reverse": true}} | 20,690 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = j + 7; l = g + 8; p = w + 10; j = v + 9; t = q + 12; g = 5; v = b + 4; b = p + 15; k = y + 1; y = l + 1; h = t + 14; w = g + 20; q = k + 2. Given that g = 5, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = q + 12 to h, which gives h = q + 26.\n2. Substitute q = k + 2 to h, which gives h = k + 28.\n3. Substitute k = y + 1 to h, which gives h = y + 29.\n4. Substitute y = l + 1 to h, which gives h = l + 30.\n5. Substitute l = g + 8 to h, which gives h = g + 38.\n6. Substitute g = 5 to h, which gives h = 43.\n\nThus, the final answer is h = \\boxed{43}.",
"index": 20690,
"question": "Suppose a collection of variables is related by the following definitions: s = j + 7; l = g + 8; p = w + 10; j = v + 9; t = q + 12; g = 5; v = b + 4; b = p + 15; k = y + 1; y = l + 1; h = t + 14; w = g + 20; q = k + 2. Given that g = 5, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"l": "q + 20", "c": "l + 1", "z": "c + 15", "n": "z + 8", "e": "n + 8", "r": "e + 18", "m": "q + 13", "b": "m + 17", "f": "b + 6", "h": "f + 14", "w": "h + 12", "u": "w + 5", "q": 8}, "premises": {"q": 8}, "target": "r"}, "answer": {"steps": [["e", "n + 8", "n + 26"], ["n", "z + 8", "z + 34"], ["z", "c + 15", "c + 49"], ["c", "l + 1", "l + 50"], ["l", "q + 20", "q + 70"], ["q", 8, "78"]], "target_var_name": "r", "target_value": 78, "value_dict": {"q": 8}, "is_reverse": true}} | 20,691 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = z + 8; c = l + 1; z = c + 15; l = q + 20; m = q + 13; u = w + 5; h = f + 14; q = 8; b = m + 17; r = e + 18; e = n + 8; w = h + 12; f = b + 6. If q = 8, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = n + 8 to r, which gives r = n + 26.\n2. Substitute n = z + 8 to r, which gives r = z + 34.\n3. Substitute z = c + 15 to r, which gives r = c + 49.\n4. Substitute c = l + 1 to r, which gives r = l + 50.\n5. Substitute l = q + 20 to r, which gives r = q + 70.\n6. Substitute q = 8 to r, which gives r = 78.\n\nThus, the final answer is r = \\boxed{78}.",
"index": 20691,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = z + 8; c = l + 1; z = c + 15; l = q + 20; m = q + 13; u = w + 5; h = f + 14; q = 8; b = m + 17; r = e + 18; e = n + 8; w = h + 12; f = b + 6. If q = 8, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"y": "s + 2", "d": "y + 16", "i": "d + 2", "b": "i + 18", "q": "b + 14", "n": "q + 13", "r": "s + 14", "w": "r + 16", "v": "w + 9", "l": "v + 14", "x": "l + 14", "o": "x + 1", "s": 20}, "premises": {"s": 20}, "target": "n"}, "answer": {"steps": [["q", "b + 14", "b + 27"], ["b", "i + 18", "i + 45"], ["i", "d + 2", "d + 47"], ["d", "y + 16", "y + 63"], ["y", "s + 2", "s + 65"], ["s", 20, "85"]], "target_var_name": "n", "target_value": 85, "value_dict": {"s": 20}, "is_reverse": true}} | 20,692 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = w + 9; o = x + 1; q = b + 14; r = s + 14; i = d + 2; d = y + 16; l = v + 14; n = q + 13; w = r + 16; x = l + 14; s = 20; b = i + 18; y = s + 2. If s = 20, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = b + 14 to n, which gives n = b + 27.\n2. Substitute b = i + 18 to n, which gives n = i + 45.\n3. Substitute i = d + 2 to n, which gives n = d + 47.\n4. Substitute d = y + 16 to n, which gives n = y + 63.\n5. Substitute y = s + 2 to n, which gives n = s + 65.\n6. Substitute s = 20 to n, which gives n = 85.\n\nThus, the final answer is n = \\boxed{85}.",
"index": 20692,
"question": "Consider a system of variables where each variable is defined as follows: v = w + 9; o = x + 1; q = b + 14; r = s + 14; i = d + 2; d = y + 16; l = v + 14; n = q + 13; w = r + 16; x = l + 14; s = 20; b = i + 18; y = s + 2. If s = 20, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"b": "u + 11", "y": "b + 3", "d": "y + 6", "w": "d + 1", "z": "w + 3", "t": "z + 7", "s": "u + 17", "a": "s + 18", "m": "a + 5", "e": "m + 3", "j": "e + 8", "i": "j + 13", "u": 17}, "premises": {"u": 17}, "target": "t"}, "answer": {"steps": [["z", "w + 3", "w + 10"], ["w", "d + 1", "d + 11"], ["d", "y + 6", "y + 17"], ["y", "b + 3", "b + 20"], ["b", "u + 11", "u + 31"], ["u", 17, "48"]], "target_var_name": "t", "target_value": 48, "value_dict": {"u": 17}, "is_reverse": true}} | 20,693 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = b + 3; m = a + 5; z = w + 3; j = e + 8; u = 17; e = m + 3; d = y + 6; s = u + 17; i = j + 13; t = z + 7; a = s + 18; b = u + 11; w = d + 1. If u = 17, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = w + 3 to t, which gives t = w + 10.\n2. Substitute w = d + 1 to t, which gives t = d + 11.\n3. Substitute d = y + 6 to t, which gives t = y + 17.\n4. Substitute y = b + 3 to t, which gives t = b + 20.\n5. Substitute b = u + 11 to t, which gives t = u + 31.\n6. Substitute u = 17 to t, which gives t = 48.\n\nThus, the final answer is t = \\boxed{48}.",
"index": 20693,
"question": "Consider a system of variables where each variable is defined as follows: y = b + 3; m = a + 5; z = w + 3; j = e + 8; u = 17; e = m + 3; d = y + 6; s = u + 17; i = j + 13; t = z + 7; a = s + 18; b = u + 11; w = d + 1. If u = 17, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"k": "z + 16", "g": "k + 11", "n": "g + 14", "q": "n + 13", "h": "q + 12", "j": "h + 4", "x": "z + 3", "d": "x + 12", "a": "d + 1", "c": "a + 16", "p": "c + 18", "v": "p + 2", "z": 4}, "premises": {"z": 4}, "target": "j"}, "answer": {"steps": [["h", "q + 12", "q + 16"], ["q", "n + 13", "n + 29"], ["n", "g + 14", "g + 43"], ["g", "k + 11", "k + 54"], ["k", "z + 16", "z + 70"], ["z", 4, "74"]], "target_var_name": "j", "target_value": 74, "value_dict": {"z": 4}, "is_reverse": true}} | 20,694 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = k + 11; q = n + 13; n = g + 14; c = a + 16; j = h + 4; x = z + 3; p = c + 18; a = d + 1; z = 4; h = q + 12; d = x + 12; k = z + 16; v = p + 2. If z = 4, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = q + 12 to j, which gives j = q + 16.\n2. Substitute q = n + 13 to j, which gives j = n + 29.\n3. Substitute n = g + 14 to j, which gives j = g + 43.\n4. Substitute g = k + 11 to j, which gives j = k + 54.\n5. Substitute k = z + 16 to j, which gives j = z + 70.\n6. Substitute z = 4 to j, which gives j = 74.\n\nThus, the final answer is j = \\boxed{74}.",
"index": 20694,
"question": "Consider a system of variables where each variable is defined as follows: g = k + 11; q = n + 13; n = g + 14; c = a + 16; j = h + 4; x = z + 3; p = c + 18; a = d + 1; z = 4; h = q + 12; d = x + 12; k = z + 16; v = p + 2. If z = 4, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"c": "p + 16", "y": "c + 10", "w": "y + 6", "m": "w + 15", "a": "m + 6", "r": "a + 20", "u": "p + 1", "q": "u + 14", "z": "q + 11", "o": "z + 17", "f": "o + 9", "l": "f + 17", "p": 12}, "premises": {"p": 12}, "target": "r"}, "answer": {"steps": [["a", "m + 6", "m + 26"], ["m", "w + 15", "w + 41"], ["w", "y + 6", "y + 47"], ["y", "c + 10", "c + 57"], ["c", "p + 16", "p + 73"], ["p", 12, "85"]], "target_var_name": "r", "target_value": 85, "value_dict": {"p": 12}, "is_reverse": true}} | 20,695 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = f + 17; f = o + 9; p = 12; y = c + 10; a = m + 6; z = q + 11; q = u + 14; r = a + 20; u = p + 1; o = z + 17; w = y + 6; c = p + 16; m = w + 15. If p = 12, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = m + 6 to r, which gives r = m + 26.\n2. Substitute m = w + 15 to r, which gives r = w + 41.\n3. Substitute w = y + 6 to r, which gives r = y + 47.\n4. Substitute y = c + 10 to r, which gives r = c + 57.\n5. Substitute c = p + 16 to r, which gives r = p + 73.\n6. Substitute p = 12 to r, which gives r = 85.\n\nThus, the final answer is r = \\boxed{85}.",
"index": 20695,
"question": "Consider a system of variables where each variable is defined as follows: l = f + 17; f = o + 9; p = 12; y = c + 10; a = m + 6; z = q + 11; q = u + 14; r = a + 20; u = p + 1; o = z + 17; w = y + 6; c = p + 16; m = w + 15. If p = 12, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"n": "c + 2", "e": "n + 11", "m": "e + 18", "y": "m + 14", "k": "y + 2", "r": "k + 2", "a": "c + 2", "p": "a + 8", "z": "p + 2", "x": "z + 6", "j": "x + 10", "h": "j + 4", "c": 6}, "premises": {"c": 6}, "target": "r"}, "answer": {"steps": [["k", "y + 2", "y + 4"], ["y", "m + 14", "m + 18"], ["m", "e + 18", "e + 36"], ["e", "n + 11", "n + 47"], ["n", "c + 2", "c + 49"], ["c", 6, "55"]], "target_var_name": "r", "target_value": 55, "value_dict": {"c": 6}, "is_reverse": true}} | 20,696 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = y + 2; n = c + 2; a = c + 2; c = 6; x = z + 6; p = a + 8; z = p + 2; h = j + 4; j = x + 10; m = e + 18; y = m + 14; e = n + 11; r = k + 2. Given that c = 6, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = y + 2 to r, which gives r = y + 4.\n2. Substitute y = m + 14 to r, which gives r = m + 18.\n3. Substitute m = e + 18 to r, which gives r = e + 36.\n4. Substitute e = n + 11 to r, which gives r = n + 47.\n5. Substitute n = c + 2 to r, which gives r = c + 49.\n6. Substitute c = 6 to r, which gives r = 55.\n\nThus, the final answer is r = \\boxed{55}.",
"index": 20696,
"question": "Suppose a collection of variables is related by the following definitions: k = y + 2; n = c + 2; a = c + 2; c = 6; x = z + 6; p = a + 8; z = p + 2; h = j + 4; j = x + 10; m = e + 18; y = m + 14; e = n + 11; r = k + 2. Given that c = 6, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"d": "q + 4", "p": "d + 8", "x": "p + 6", "o": "x + 6", "c": "o + 4", "g": "c + 19", "t": "q + 5", "r": "t + 5", "z": "r + 1", "h": "z + 11", "f": "h + 15", "a": "f + 11", "q": 18}, "premises": {"q": 18}, "target": "g"}, "answer": {"steps": [["c", "o + 4", "o + 23"], ["o", "x + 6", "x + 29"], ["x", "p + 6", "p + 35"], ["p", "d + 8", "d + 43"], ["d", "q + 4", "q + 47"], ["q", 18, "65"]], "target_var_name": "g", "target_value": 65, "value_dict": {"q": 18}, "is_reverse": true}} | 20,697 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = d + 8; o = x + 6; g = c + 19; t = q + 5; z = r + 1; c = o + 4; r = t + 5; q = 18; d = q + 4; a = f + 11; x = p + 6; h = z + 11; f = h + 15. If q = 18, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = o + 4 to g, which gives g = o + 23.\n2. Substitute o = x + 6 to g, which gives g = x + 29.\n3. Substitute x = p + 6 to g, which gives g = p + 35.\n4. Substitute p = d + 8 to g, which gives g = d + 43.\n5. Substitute d = q + 4 to g, which gives g = q + 47.\n6. Substitute q = 18 to g, which gives g = 65.\n\nThus, the final answer is g = \\boxed{65}.",
"index": 20697,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = d + 8; o = x + 6; g = c + 19; t = q + 5; z = r + 1; c = o + 4; r = t + 5; q = 18; d = q + 4; a = f + 11; x = p + 6; h = z + 11; f = h + 15. If q = 18, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"u": "e + 20", "z": "u + 18", "o": "z + 10", "c": "o + 11", "v": "c + 15", "p": "v + 17", "q": "e + 12", "y": "q + 19", "i": "y + 14", "a": "i + 17", "k": "a + 9", "m": "k + 13", "e": 20}, "premises": {"e": 20}, "target": "p"}, "answer": {"steps": [["v", "c + 15", "c + 32"], ["c", "o + 11", "o + 43"], ["o", "z + 10", "z + 53"], ["z", "u + 18", "u + 71"], ["u", "e + 20", "e + 91"], ["e", 20, "111"]], "target_var_name": "p", "target_value": 111, "value_dict": {"e": 20}, "is_reverse": true}} | 20,698 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = e + 12; o = z + 10; z = u + 18; k = a + 9; e = 20; v = c + 15; a = i + 17; y = q + 19; m = k + 13; c = o + 11; u = e + 20; i = y + 14; p = v + 17. If e = 20, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 111,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = c + 15 to p, which gives p = c + 32.\n2. Substitute c = o + 11 to p, which gives p = o + 43.\n3. Substitute o = z + 10 to p, which gives p = z + 53.\n4. Substitute z = u + 18 to p, which gives p = u + 71.\n5. Substitute u = e + 20 to p, which gives p = e + 91.\n6. Substitute e = 20 to p, which gives p = 111.\n\nThus, the final answer is p = \\boxed{111}.",
"index": 20698,
"question": "Consider a system of variables where each variable is defined as follows: q = e + 12; o = z + 10; z = u + 18; k = a + 9; e = 20; v = c + 15; a = i + 17; y = q + 19; m = k + 13; c = o + 11; u = e + 20; i = y + 14; p = v + 17. If e = 20, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"g": "b + 20", "l": "g + 20", "s": "l + 4", "t": "s + 10", "y": "t + 2", "j": "y + 11", "x": "b + 11", "w": "x + 12", "q": "w + 9", "e": "q + 12", "f": "e + 14", "p": "f + 1", "b": 15}, "premises": {"b": 15}, "target": "j"}, "answer": {"steps": [["y", "t + 2", "t + 13"], ["t", "s + 10", "s + 23"], ["s", "l + 4", "l + 27"], ["l", "g + 20", "g + 47"], ["g", "b + 20", "b + 67"], ["b", 15, "82"]], "target_var_name": "j", "target_value": 82, "value_dict": {"b": 15}, "is_reverse": true}} | 20,699 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = w + 9; l = g + 20; f = e + 14; x = b + 11; g = b + 20; w = x + 12; p = f + 1; s = l + 4; t = s + 10; b = 15; j = y + 11; e = q + 12; y = t + 2. Given that b = 15, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = t + 2 to j, which gives j = t + 13.\n2. Substitute t = s + 10 to j, which gives j = s + 23.\n3. Substitute s = l + 4 to j, which gives j = l + 27.\n4. Substitute l = g + 20 to j, which gives j = g + 47.\n5. Substitute g = b + 20 to j, which gives j = b + 67.\n6. Substitute b = 15 to j, which gives j = 82.\n\nThus, the final answer is j = \\boxed{82}.",
"index": 20699,
"question": "Suppose a collection of variables is related by the following definitions: q = w + 9; l = g + 20; f = e + 14; x = b + 11; g = b + 20; w = x + 12; p = f + 1; s = l + 4; t = s + 10; b = 15; j = y + 11; e = q + 12; y = t + 2. Given that b = 15, find the value of j.",
"split": "train"
} |
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