meta stringlengths 493 517 | id int64 0 25.6k | problem_solution_idx int64 0 0 | world_id stringclasses 1 value | data_source stringclasses 1 value | prompt listlengths 1 1 | ability stringclasses 1 value | reward_model dict | extra_info dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"m": "x + 7", "e": "m + 2", "v": "e + 4", "d": "v + 3", "s": "d + 9", "n": "s + 13", "z": "x + 1", "b": "z + 5", "y": "b + 15", "r": "y + 12", "q": "r + 8", "p": "q + 10", "x": 1}, "premises": {"x": 1}, "target": "n"}, "answer": {"steps": [["s", "d + 9", "d + 22"], ["d", "v + 3", "v + 25"], ["v", "e + 4", "e + 29"], ["e", "m + 2", "m + 31"], ["m", "x + 7", "x + 38"], ["x", 1, "39"]], "target_var_name": "n", "target_value": 39, "value_dict": {"x": 1}, "is_reverse": true}} | 8,000 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = e + 4; b = z + 5; p = q + 10; x = 1; q = r + 8; e = m + 2; n = s + 13; m = x + 7; d = v + 3; z = x + 1; s = d + 9; r = y + 12; y = b + 15. If x = 1, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 39,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = d + 9 to n, which gives n = d + 22.\n2. Substitute d = v + 3 to n, which gives n = v + 25.\n3. Substitute v = e + 4 to n, which gives n = e + 29.\n4. Substitute e = m + 2 to n, which gives n = m + 31.\n5. Substitute m = x + 7 to n, which gives n = x + 38.\n6. Substitute x = 1 to n, which gives n = 39.\n\nThus, the final answer is n = \\boxed{39}.",
"index": 8000,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = e + 4; b = z + 5; p = q + 10; x = 1; q = r + 8; e = m + 2; n = s + 13; m = x + 7; d = v + 3; z = x + 1; s = d + 9; r = y + 12; y = b + 15. If x = 1, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"e": "l + 10", "p": "e + 13", "k": "p + 16", "m": "k + 6", "c": "m + 10", "z": "c + 5", "d": "l + 5", "u": "d + 2", "i": "u + 7", "s": "i + 19", "w": "s + 8", "q": "w + 1", "l": 15}, "premises": {"l": 15}, "target": "z"}, "answer": {"steps": [["c", "m + 10", "m + 15"], ["m", "k + 6", "k + 21"], ["k", "p + 16", "p + 37"], ["p", "e + 13", "e + 50"], ["e", "l + 10", "l + 60"], ["l", 15, "75"]], "target_var_name": "z", "target_value": 75, "value_dict": {"l": 15}, "is_reverse": true}} | 8,001 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = 15; z = c + 5; q = w + 1; i = u + 7; p = e + 13; d = l + 5; u = d + 2; k = p + 16; e = l + 10; s = i + 19; m = k + 6; w = s + 8; c = m + 10. Given that l = 15, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = m + 10 to z, which gives z = m + 15.\n2. Substitute m = k + 6 to z, which gives z = k + 21.\n3. Substitute k = p + 16 to z, which gives z = p + 37.\n4. Substitute p = e + 13 to z, which gives z = e + 50.\n5. Substitute e = l + 10 to z, which gives z = l + 60.\n6. Substitute l = 15 to z, which gives z = 75.\n\nThus, the final answer is z = \\boxed{75}.",
"index": 8001,
"question": "Suppose a collection of variables is related by the following definitions: l = 15; z = c + 5; q = w + 1; i = u + 7; p = e + 13; d = l + 5; u = d + 2; k = p + 16; e = l + 10; s = i + 19; m = k + 6; w = s + 8; c = m + 10. Given that l = 15, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"j": "o + 12", "x": "j + 13", "c": "x + 2", "e": "c + 2", "w": "e + 1", "q": "w + 6", "f": "o + 10", "b": "f + 13", "y": "b + 14", "r": "y + 8", "v": "r + 3", "n": "v + 8", "o": 13}, "premises": {"o": 13}, "target": "q"}, "answer": {"steps": [["w", "e + 1", "e + 7"], ["e", "c + 2", "c + 9"], ["c", "x + 2", "x + 11"], ["x", "j + 13", "j + 24"], ["j", "o + 12", "o + 36"], ["o", 13, "49"]], "target_var_name": "q", "target_value": 49, "value_dict": {"o": 13}, "is_reverse": true}} | 8,002 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = x + 2; j = o + 12; q = w + 6; v = r + 3; r = y + 8; n = v + 8; x = j + 13; e = c + 2; f = o + 10; b = f + 13; y = b + 14; w = e + 1; o = 13. If o = 13, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = e + 1 to q, which gives q = e + 7.\n2. Substitute e = c + 2 to q, which gives q = c + 9.\n3. Substitute c = x + 2 to q, which gives q = x + 11.\n4. Substitute x = j + 13 to q, which gives q = j + 24.\n5. Substitute j = o + 12 to q, which gives q = o + 36.\n6. Substitute o = 13 to q, which gives q = 49.\n\nThus, the final answer is q = \\boxed{49}.",
"index": 8002,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = x + 2; j = o + 12; q = w + 6; v = r + 3; r = y + 8; n = v + 8; x = j + 13; e = c + 2; f = o + 10; b = f + 13; y = b + 14; w = e + 1; o = 13. If o = 13, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"c": "v + 8", "q": "c + 1", "k": "q + 20", "d": "k + 8", "l": "d + 4", "e": "l + 10", "y": "v + 19", "b": "y + 7", "s": "b + 16", "f": "s + 17", "i": "f + 4", "j": "i + 5", "v": 4}, "premises": {"v": 4}, "target": "e"}, "answer": {"steps": [["l", "d + 4", "d + 14"], ["d", "k + 8", "k + 22"], ["k", "q + 20", "q + 42"], ["q", "c + 1", "c + 43"], ["c", "v + 8", "v + 51"], ["v", 4, "55"]], "target_var_name": "e", "target_value": 55, "value_dict": {"v": 4}, "is_reverse": true}} | 8,003 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = b + 16; v = 4; i = f + 4; f = s + 17; k = q + 20; q = c + 1; e = l + 10; j = i + 5; y = v + 19; d = k + 8; c = v + 8; l = d + 4; b = y + 7. If v = 4, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = d + 4 to e, which gives e = d + 14.\n2. Substitute d = k + 8 to e, which gives e = k + 22.\n3. Substitute k = q + 20 to e, which gives e = q + 42.\n4. Substitute q = c + 1 to e, which gives e = c + 43.\n5. Substitute c = v + 8 to e, which gives e = v + 51.\n6. Substitute v = 4 to e, which gives e = 55.\n\nThus, the final answer is e = \\boxed{55}.",
"index": 8003,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = b + 16; v = 4; i = f + 4; f = s + 17; k = q + 20; q = c + 1; e = l + 10; j = i + 5; y = v + 19; d = k + 8; c = v + 8; l = d + 4; b = y + 7. If v = 4, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"b": "k + 14", "j": "b + 11", "h": "j + 18", "c": "h + 15", "r": "c + 10", "f": "r + 16", "i": "k + 11", "d": "i + 3", "p": "d + 2", "s": "p + 9", "v": "s + 11", "e": "v + 14", "k": 20}, "premises": {"k": 20}, "target": "f"}, "answer": {"steps": [["r", "c + 10", "c + 26"], ["c", "h + 15", "h + 41"], ["h", "j + 18", "j + 59"], ["j", "b + 11", "b + 70"], ["b", "k + 14", "k + 84"], ["k", 20, "104"]], "target_var_name": "f", "target_value": 104, "value_dict": {"k": 20}, "is_reverse": true}} | 8,004 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = p + 9; p = d + 2; i = k + 11; b = k + 14; c = h + 15; r = c + 10; v = s + 11; d = i + 3; k = 20; j = b + 11; h = j + 18; e = v + 14; f = r + 16. Given that k = 20, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 104,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = c + 10 to f, which gives f = c + 26.\n2. Substitute c = h + 15 to f, which gives f = h + 41.\n3. Substitute h = j + 18 to f, which gives f = j + 59.\n4. Substitute j = b + 11 to f, which gives f = b + 70.\n5. Substitute b = k + 14 to f, which gives f = k + 84.\n6. Substitute k = 20 to f, which gives f = 104.\n\nThus, the final answer is f = \\boxed{104}.",
"index": 8004,
"question": "Suppose a collection of variables is related by the following definitions: s = p + 9; p = d + 2; i = k + 11; b = k + 14; c = h + 15; r = c + 10; v = s + 11; d = i + 3; k = 20; j = b + 11; h = j + 18; e = v + 14; f = r + 16. Given that k = 20, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"c": "s + 9", "n": "c + 5", "v": "n + 19", "a": "v + 4", "u": "a + 3", "e": "u + 17", "p": "s + 11", "q": "p + 14", "x": "q + 9", "l": "x + 17", "j": "l + 20", "r": "j + 11", "s": 18}, "premises": {"s": 18}, "target": "e"}, "answer": {"steps": [["u", "a + 3", "a + 20"], ["a", "v + 4", "v + 24"], ["v", "n + 19", "n + 43"], ["n", "c + 5", "c + 48"], ["c", "s + 9", "s + 57"], ["s", 18, "75"]], "target_var_name": "e", "target_value": 75, "value_dict": {"s": 18}, "is_reverse": true}} | 8,005 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = 18; u = a + 3; c = s + 9; n = c + 5; x = q + 9; v = n + 19; r = j + 11; p = s + 11; q = p + 14; j = l + 20; l = x + 17; a = v + 4; e = u + 17. If s = 18, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = a + 3 to e, which gives e = a + 20.\n2. Substitute a = v + 4 to e, which gives e = v + 24.\n3. Substitute v = n + 19 to e, which gives e = n + 43.\n4. Substitute n = c + 5 to e, which gives e = c + 48.\n5. Substitute c = s + 9 to e, which gives e = s + 57.\n6. Substitute s = 18 to e, which gives e = 75.\n\nThus, the final answer is e = \\boxed{75}.",
"index": 8005,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = 18; u = a + 3; c = s + 9; n = c + 5; x = q + 9; v = n + 19; r = j + 11; p = s + 11; q = p + 14; j = l + 20; l = x + 17; a = v + 4; e = u + 17. If s = 18, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"f": "j + 7", "s": "f + 15", "q": "s + 20", "o": "q + 20", "z": "o + 18", "h": "z + 17", "v": "j + 11", "m": "v + 18", "b": "m + 4", "t": "b + 2", "a": "t + 18", "e": "a + 14", "j": 2}, "premises": {"j": 2}, "target": "h"}, "answer": {"steps": [["z", "o + 18", "o + 35"], ["o", "q + 20", "q + 55"], ["q", "s + 20", "s + 75"], ["s", "f + 15", "f + 90"], ["f", "j + 7", "j + 97"], ["j", 2, "99"]], "target_var_name": "h", "target_value": 99, "value_dict": {"j": 2}, "is_reverse": true}} | 8,006 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = z + 17; f = j + 7; j = 2; t = b + 2; q = s + 20; a = t + 18; b = m + 4; s = f + 15; e = a + 14; o = q + 20; m = v + 18; z = o + 18; v = j + 11. Given that j = 2, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = o + 18 to h, which gives h = o + 35.\n2. Substitute o = q + 20 to h, which gives h = q + 55.\n3. Substitute q = s + 20 to h, which gives h = s + 75.\n4. Substitute s = f + 15 to h, which gives h = f + 90.\n5. Substitute f = j + 7 to h, which gives h = j + 97.\n6. Substitute j = 2 to h, which gives h = 99.\n\nThus, the final answer is h = \\boxed{99}.",
"index": 8006,
"question": "Suppose a collection of variables is related by the following definitions: h = z + 17; f = j + 7; j = 2; t = b + 2; q = s + 20; a = t + 18; b = m + 4; s = f + 15; e = a + 14; o = q + 20; m = v + 18; z = o + 18; v = j + 11. Given that j = 2, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"p": "e + 19", "m": "p + 16", "b": "m + 8", "u": "b + 7", "o": "u + 5", "j": "o + 1", "s": "e + 11", "a": "s + 3", "r": "a + 5", "f": "r + 4", "v": "f + 20", "q": "v + 16", "e": 16}, "premises": {"e": 16}, "target": "j"}, "answer": {"steps": [["o", "u + 5", "u + 6"], ["u", "b + 7", "b + 13"], ["b", "m + 8", "m + 21"], ["m", "p + 16", "p + 37"], ["p", "e + 19", "e + 56"], ["e", 16, "72"]], "target_var_name": "j", "target_value": 72, "value_dict": {"e": 16}, "is_reverse": true}} | 8,007 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = p + 16; v = f + 20; f = r + 4; a = s + 3; o = u + 5; e = 16; u = b + 7; p = e + 19; r = a + 5; j = o + 1; s = e + 11; b = m + 8; q = v + 16. If e = 16, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = u + 5 to j, which gives j = u + 6.\n2. Substitute u = b + 7 to j, which gives j = b + 13.\n3. Substitute b = m + 8 to j, which gives j = m + 21.\n4. Substitute m = p + 16 to j, which gives j = p + 37.\n5. Substitute p = e + 19 to j, which gives j = e + 56.\n6. Substitute e = 16 to j, which gives j = 72.\n\nThus, the final answer is j = \\boxed{72}.",
"index": 8007,
"question": "Consider a system of variables where each variable is defined as follows: m = p + 16; v = f + 20; f = r + 4; a = s + 3; o = u + 5; e = 16; u = b + 7; p = e + 19; r = a + 5; j = o + 1; s = e + 11; b = m + 8; q = v + 16. If e = 16, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"z": "w + 5", "c": "z + 3", "u": "c + 8", "j": "u + 12", "d": "j + 10", "l": "d + 12", "i": "w + 8", "q": "i + 8", "x": "q + 1", "a": "x + 20", "e": "a + 18", "s": "e + 17", "w": 10}, "premises": {"w": 10}, "target": "l"}, "answer": {"steps": [["d", "j + 10", "j + 22"], ["j", "u + 12", "u + 34"], ["u", "c + 8", "c + 42"], ["c", "z + 3", "z + 45"], ["z", "w + 5", "w + 50"], ["w", 10, "60"]], "target_var_name": "l", "target_value": 60, "value_dict": {"w": 10}, "is_reverse": true}} | 8,008 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = a + 18; j = u + 12; i = w + 8; l = d + 12; s = e + 17; u = c + 8; d = j + 10; x = q + 1; z = w + 5; a = x + 20; w = 10; q = i + 8; c = z + 3. If w = 10, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = j + 10 to l, which gives l = j + 22.\n2. Substitute j = u + 12 to l, which gives l = u + 34.\n3. Substitute u = c + 8 to l, which gives l = c + 42.\n4. Substitute c = z + 3 to l, which gives l = z + 45.\n5. Substitute z = w + 5 to l, which gives l = w + 50.\n6. Substitute w = 10 to l, which gives l = 60.\n\nThus, the final answer is l = \\boxed{60}.",
"index": 8008,
"question": "Consider a system of variables where each variable is defined as follows: e = a + 18; j = u + 12; i = w + 8; l = d + 12; s = e + 17; u = c + 8; d = j + 10; x = q + 1; z = w + 5; a = x + 20; w = 10; q = i + 8; c = z + 3. If w = 10, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"z": "p + 1", "i": "z + 2", "t": "i + 3", "w": "t + 5", "q": "w + 16", "a": "q + 10", "n": "p + 20", "s": "n + 16", "y": "s + 20", "m": "y + 18", "u": "m + 15", "d": "u + 5", "p": 13}, "premises": {"p": 13}, "target": "a"}, "answer": {"steps": [["q", "w + 16", "w + 26"], ["w", "t + 5", "t + 31"], ["t", "i + 3", "i + 34"], ["i", "z + 2", "z + 36"], ["z", "p + 1", "p + 37"], ["p", 13, "50"]], "target_var_name": "a", "target_value": 50, "value_dict": {"p": 13}, "is_reverse": true}} | 8,009 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = p + 20; y = s + 20; w = t + 5; m = y + 18; z = p + 1; a = q + 10; u = m + 15; d = u + 5; i = z + 2; q = w + 16; s = n + 16; t = i + 3; p = 13. If p = 13, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = w + 16 to a, which gives a = w + 26.\n2. Substitute w = t + 5 to a, which gives a = t + 31.\n3. Substitute t = i + 3 to a, which gives a = i + 34.\n4. Substitute i = z + 2 to a, which gives a = z + 36.\n5. Substitute z = p + 1 to a, which gives a = p + 37.\n6. Substitute p = 13 to a, which gives a = 50.\n\nThus, the final answer is a = \\boxed{50}.",
"index": 8009,
"question": "Consider a system of variables where each variable is defined as follows: n = p + 20; y = s + 20; w = t + 5; m = y + 18; z = p + 1; a = q + 10; u = m + 15; d = u + 5; i = z + 2; q = w + 16; s = n + 16; t = i + 3; p = 13. If p = 13, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"e": "f + 13", "l": "e + 16", "u": "l + 6", "r": "u + 1", "s": "r + 2", "z": "s + 16", "d": "f + 9", "b": "d + 6", "w": "b + 9", "m": "w + 14", "p": "m + 3", "o": "p + 7", "f": 10}, "premises": {"f": 10}, "target": "z"}, "answer": {"steps": [["s", "r + 2", "r + 18"], ["r", "u + 1", "u + 19"], ["u", "l + 6", "l + 25"], ["l", "e + 16", "e + 41"], ["e", "f + 13", "f + 54"], ["f", 10, "64"]], "target_var_name": "z", "target_value": 64, "value_dict": {"f": 10}, "is_reverse": true}} | 8,010 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = u + 1; o = p + 7; b = d + 6; m = w + 14; z = s + 16; u = l + 6; e = f + 13; f = 10; w = b + 9; s = r + 2; d = f + 9; l = e + 16; p = m + 3. Given that f = 10, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = r + 2 to z, which gives z = r + 18.\n2. Substitute r = u + 1 to z, which gives z = u + 19.\n3. Substitute u = l + 6 to z, which gives z = l + 25.\n4. Substitute l = e + 16 to z, which gives z = e + 41.\n5. Substitute e = f + 13 to z, which gives z = f + 54.\n6. Substitute f = 10 to z, which gives z = 64.\n\nThus, the final answer is z = \\boxed{64}.",
"index": 8010,
"question": "Suppose a collection of variables is related by the following definitions: r = u + 1; o = p + 7; b = d + 6; m = w + 14; z = s + 16; u = l + 6; e = f + 13; f = 10; w = b + 9; s = r + 2; d = f + 9; l = e + 16; p = m + 3. Given that f = 10, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"y": "z + 5", "e": "y + 3", "o": "e + 7", "c": "o + 20", "p": "c + 5", "l": "p + 3", "s": "z + 15", "q": "s + 16", "u": "q + 9", "n": "u + 12", "m": "n + 11", "i": "m + 18", "z": 13}, "premises": {"z": 13}, "target": "l"}, "answer": {"steps": [["p", "c + 5", "c + 8"], ["c", "o + 20", "o + 28"], ["o", "e + 7", "e + 35"], ["e", "y + 3", "y + 38"], ["y", "z + 5", "z + 43"], ["z", 13, "56"]], "target_var_name": "l", "target_value": 56, "value_dict": {"z": 13}, "is_reverse": true}} | 8,011 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = z + 15; l = p + 3; i = m + 18; u = q + 9; p = c + 5; y = z + 5; e = y + 3; n = u + 12; c = o + 20; o = e + 7; z = 13; q = s + 16; m = n + 11. Given that z = 13, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = c + 5 to l, which gives l = c + 8.\n2. Substitute c = o + 20 to l, which gives l = o + 28.\n3. Substitute o = e + 7 to l, which gives l = e + 35.\n4. Substitute e = y + 3 to l, which gives l = y + 38.\n5. Substitute y = z + 5 to l, which gives l = z + 43.\n6. Substitute z = 13 to l, which gives l = 56.\n\nThus, the final answer is l = \\boxed{56}.",
"index": 8011,
"question": "Suppose a collection of variables is related by the following definitions: s = z + 15; l = p + 3; i = m + 18; u = q + 9; p = c + 5; y = z + 5; e = y + 3; n = u + 12; c = o + 20; o = e + 7; z = 13; q = s + 16; m = n + 11. Given that z = 13, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"k": "v + 7", "t": "k + 7", "m": "t + 6", "i": "m + 13", "c": "i + 18", "w": "c + 18", "n": "v + 2", "r": "n + 19", "b": "r + 15", "l": "b + 1", "p": "l + 1", "q": "p + 1", "v": 11}, "premises": {"v": 11}, "target": "w"}, "answer": {"steps": [["c", "i + 18", "i + 36"], ["i", "m + 13", "m + 49"], ["m", "t + 6", "t + 55"], ["t", "k + 7", "k + 62"], ["k", "v + 7", "v + 69"], ["v", 11, "80"]], "target_var_name": "w", "target_value": 80, "value_dict": {"v": 11}, "is_reverse": true}} | 8,012 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = p + 1; n = v + 2; w = c + 18; m = t + 6; r = n + 19; k = v + 7; i = m + 13; v = 11; c = i + 18; t = k + 7; b = r + 15; l = b + 1; p = l + 1. Given that v = 11, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = i + 18 to w, which gives w = i + 36.\n2. Substitute i = m + 13 to w, which gives w = m + 49.\n3. Substitute m = t + 6 to w, which gives w = t + 55.\n4. Substitute t = k + 7 to w, which gives w = k + 62.\n5. Substitute k = v + 7 to w, which gives w = v + 69.\n6. Substitute v = 11 to w, which gives w = 80.\n\nThus, the final answer is w = \\boxed{80}.",
"index": 8012,
"question": "Suppose a collection of variables is related by the following definitions: q = p + 1; n = v + 2; w = c + 18; m = t + 6; r = n + 19; k = v + 7; i = m + 13; v = 11; c = i + 18; t = k + 7; b = r + 15; l = b + 1; p = l + 1. Given that v = 11, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"o": "g + 18", "s": "o + 8", "b": "s + 3", "a": "b + 10", "m": "a + 9", "t": "m + 17", "i": "g + 10", "r": "i + 20", "w": "r + 9", "j": "w + 14", "y": "j + 11", "k": "y + 2", "g": 6}, "premises": {"g": 6}, "target": "t"}, "answer": {"steps": [["m", "a + 9", "a + 26"], ["a", "b + 10", "b + 36"], ["b", "s + 3", "s + 39"], ["s", "o + 8", "o + 47"], ["o", "g + 18", "g + 65"], ["g", 6, "71"]], "target_var_name": "t", "target_value": 71, "value_dict": {"g": 6}, "is_reverse": true}} | 8,013 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = r + 9; o = g + 18; t = m + 17; g = 6; y = j + 11; a = b + 10; k = y + 2; m = a + 9; i = g + 10; j = w + 14; b = s + 3; s = o + 8; r = i + 20. If g = 6, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = a + 9 to t, which gives t = a + 26.\n2. Substitute a = b + 10 to t, which gives t = b + 36.\n3. Substitute b = s + 3 to t, which gives t = s + 39.\n4. Substitute s = o + 8 to t, which gives t = o + 47.\n5. Substitute o = g + 18 to t, which gives t = g + 65.\n6. Substitute g = 6 to t, which gives t = 71.\n\nThus, the final answer is t = \\boxed{71}.",
"index": 8013,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = r + 9; o = g + 18; t = m + 17; g = 6; y = j + 11; a = b + 10; k = y + 2; m = a + 9; i = g + 10; j = w + 14; b = s + 3; s = o + 8; r = i + 20. If g = 6, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"d": "j + 11", "r": "d + 8", "x": "r + 2", "h": "x + 13", "m": "h + 17", "w": "m + 4", "i": "j + 6", "p": "i + 3", "y": "p + 1", "u": "y + 19", "f": "u + 9", "o": "f + 16", "j": 7}, "premises": {"j": 7}, "target": "w"}, "answer": {"steps": [["m", "h + 17", "h + 21"], ["h", "x + 13", "x + 34"], ["x", "r + 2", "r + 36"], ["r", "d + 8", "d + 44"], ["d", "j + 11", "j + 55"], ["j", 7, "62"]], "target_var_name": "w", "target_value": 62, "value_dict": {"j": 7}, "is_reverse": true}} | 8,014 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = r + 2; j = 7; y = p + 1; p = i + 3; w = m + 4; o = f + 16; u = y + 19; r = d + 8; f = u + 9; d = j + 11; i = j + 6; m = h + 17; h = x + 13. If j = 7, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = h + 17 to w, which gives w = h + 21.\n2. Substitute h = x + 13 to w, which gives w = x + 34.\n3. Substitute x = r + 2 to w, which gives w = r + 36.\n4. Substitute r = d + 8 to w, which gives w = d + 44.\n5. Substitute d = j + 11 to w, which gives w = j + 55.\n6. Substitute j = 7 to w, which gives w = 62.\n\nThus, the final answer is w = \\boxed{62}.",
"index": 8014,
"question": "Consider a system of variables where each variable is defined as follows: x = r + 2; j = 7; y = p + 1; p = i + 3; w = m + 4; o = f + 16; u = y + 19; r = d + 8; f = u + 9; d = j + 11; i = j + 6; m = h + 17; h = x + 13. If j = 7, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"g": "v + 7", "b": "g + 2", "n": "b + 18", "x": "n + 3", "s": "x + 13", "m": "s + 1", "i": "v + 14", "z": "i + 12", "d": "z + 19", "f": "d + 14", "h": "f + 1", "l": "h + 11", "v": 18}, "premises": {"v": 18}, "target": "m"}, "answer": {"steps": [["s", "x + 13", "x + 14"], ["x", "n + 3", "n + 17"], ["n", "b + 18", "b + 35"], ["b", "g + 2", "g + 37"], ["g", "v + 7", "v + 44"], ["v", 18, "62"]], "target_var_name": "m", "target_value": 62, "value_dict": {"v": 18}, "is_reverse": true}} | 8,015 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = d + 14; g = v + 7; s = x + 13; d = z + 19; x = n + 3; m = s + 1; b = g + 2; z = i + 12; n = b + 18; l = h + 11; v = 18; i = v + 14; h = f + 1. If v = 18, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = x + 13 to m, which gives m = x + 14.\n2. Substitute x = n + 3 to m, which gives m = n + 17.\n3. Substitute n = b + 18 to m, which gives m = b + 35.\n4. Substitute b = g + 2 to m, which gives m = g + 37.\n5. Substitute g = v + 7 to m, which gives m = v + 44.\n6. Substitute v = 18 to m, which gives m = 62.\n\nThus, the final answer is m = \\boxed{62}.",
"index": 8015,
"question": "Consider a system of variables where each variable is defined as follows: f = d + 14; g = v + 7; s = x + 13; d = z + 19; x = n + 3; m = s + 1; b = g + 2; z = i + 12; n = b + 18; l = h + 11; v = 18; i = v + 14; h = f + 1. If v = 18, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"l": "u + 19", "b": "l + 18", "d": "b + 6", "f": "d + 4", "m": "f + 4", "t": "m + 19", "p": "u + 15", "k": "p + 10", "c": "k + 20", "x": "c + 14", "w": "x + 20", "r": "w + 9", "u": 10}, "premises": {"u": 10}, "target": "t"}, "answer": {"steps": [["m", "f + 4", "f + 23"], ["f", "d + 4", "d + 27"], ["d", "b + 6", "b + 33"], ["b", "l + 18", "l + 51"], ["l", "u + 19", "u + 70"], ["u", 10, "80"]], "target_var_name": "t", "target_value": 80, "value_dict": {"u": 10}, "is_reverse": true}} | 8,016 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = m + 19; r = w + 9; p = u + 15; l = u + 19; f = d + 4; x = c + 14; w = x + 20; k = p + 10; d = b + 6; u = 10; b = l + 18; c = k + 20; m = f + 4. If u = 10, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = f + 4 to t, which gives t = f + 23.\n2. Substitute f = d + 4 to t, which gives t = d + 27.\n3. Substitute d = b + 6 to t, which gives t = b + 33.\n4. Substitute b = l + 18 to t, which gives t = l + 51.\n5. Substitute l = u + 19 to t, which gives t = u + 70.\n6. Substitute u = 10 to t, which gives t = 80.\n\nThus, the final answer is t = \\boxed{80}.",
"index": 8016,
"question": "Consider a system of variables where each variable is defined as follows: t = m + 19; r = w + 9; p = u + 15; l = u + 19; f = d + 4; x = c + 14; w = x + 20; k = p + 10; d = b + 6; u = 10; b = l + 18; c = k + 20; m = f + 4. If u = 10, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"k": "e + 4", "o": "k + 7", "j": "o + 16", "w": "j + 9", "r": "w + 8", "v": "r + 7", "y": "e + 20", "m": "y + 10", "h": "m + 19", "z": "h + 18", "s": "z + 6", "x": "s + 11", "e": 12}, "premises": {"e": 12}, "target": "v"}, "answer": {"steps": [["r", "w + 8", "w + 15"], ["w", "j + 9", "j + 24"], ["j", "o + 16", "o + 40"], ["o", "k + 7", "k + 47"], ["k", "e + 4", "e + 51"], ["e", 12, "63"]], "target_var_name": "v", "target_value": 63, "value_dict": {"e": 12}, "is_reverse": true}} | 8,017 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = z + 6; x = s + 11; z = h + 18; m = y + 10; o = k + 7; v = r + 7; r = w + 8; y = e + 20; k = e + 4; h = m + 19; e = 12; w = j + 9; j = o + 16. If e = 12, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = w + 8 to v, which gives v = w + 15.\n2. Substitute w = j + 9 to v, which gives v = j + 24.\n3. Substitute j = o + 16 to v, which gives v = o + 40.\n4. Substitute o = k + 7 to v, which gives v = k + 47.\n5. Substitute k = e + 4 to v, which gives v = e + 51.\n6. Substitute e = 12 to v, which gives v = 63.\n\nThus, the final answer is v = \\boxed{63}.",
"index": 8017,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = z + 6; x = s + 11; z = h + 18; m = y + 10; o = k + 7; v = r + 7; r = w + 8; y = e + 20; k = e + 4; h = m + 19; e = 12; w = j + 9; j = o + 16. If e = 12, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"p": "j + 14", "r": "p + 15", "g": "r + 8", "b": "g + 19", "c": "b + 1", "e": "c + 4", "d": "j + 11", "s": "d + 13", "y": "s + 5", "i": "y + 19", "h": "i + 4", "f": "h + 4", "j": 2}, "premises": {"j": 2}, "target": "e"}, "answer": {"steps": [["c", "b + 1", "b + 5"], ["b", "g + 19", "g + 24"], ["g", "r + 8", "r + 32"], ["r", "p + 15", "p + 47"], ["p", "j + 14", "j + 61"], ["j", 2, "63"]], "target_var_name": "e", "target_value": 63, "value_dict": {"j": 2}, "is_reverse": true}} | 8,018 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = d + 13; e = c + 4; g = r + 8; h = i + 4; y = s + 5; f = h + 4; d = j + 11; i = y + 19; j = 2; b = g + 19; c = b + 1; p = j + 14; r = p + 15. If j = 2, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = b + 1 to e, which gives e = b + 5.\n2. Substitute b = g + 19 to e, which gives e = g + 24.\n3. Substitute g = r + 8 to e, which gives e = r + 32.\n4. Substitute r = p + 15 to e, which gives e = p + 47.\n5. Substitute p = j + 14 to e, which gives e = j + 61.\n6. Substitute j = 2 to e, which gives e = 63.\n\nThus, the final answer is e = \\boxed{63}.",
"index": 8018,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = d + 13; e = c + 4; g = r + 8; h = i + 4; y = s + 5; f = h + 4; d = j + 11; i = y + 19; j = 2; b = g + 19; c = b + 1; p = j + 14; r = p + 15. If j = 2, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"e": "s + 3", "i": "e + 14", "w": "i + 19", "g": "w + 16", "n": "g + 20", "b": "n + 4", "l": "s + 16", "c": "l + 9", "q": "c + 16", "h": "q + 6", "o": "h + 16", "y": "o + 7", "s": 6}, "premises": {"s": 6}, "target": "b"}, "answer": {"steps": [["n", "g + 20", "g + 24"], ["g", "w + 16", "w + 40"], ["w", "i + 19", "i + 59"], ["i", "e + 14", "e + 73"], ["e", "s + 3", "s + 76"], ["s", 6, "82"]], "target_var_name": "b", "target_value": 82, "value_dict": {"s": 6}, "is_reverse": true}} | 8,019 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = g + 20; q = c + 16; h = q + 6; g = w + 16; o = h + 16; c = l + 9; b = n + 4; y = o + 7; l = s + 16; i = e + 14; w = i + 19; s = 6; e = s + 3. If s = 6, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = g + 20 to b, which gives b = g + 24.\n2. Substitute g = w + 16 to b, which gives b = w + 40.\n3. Substitute w = i + 19 to b, which gives b = i + 59.\n4. Substitute i = e + 14 to b, which gives b = e + 73.\n5. Substitute e = s + 3 to b, which gives b = s + 76.\n6. Substitute s = 6 to b, which gives b = 82.\n\nThus, the final answer is b = \\boxed{82}.",
"index": 8019,
"question": "Consider a system of variables where each variable is defined as follows: n = g + 20; q = c + 16; h = q + 6; g = w + 16; o = h + 16; c = l + 9; b = n + 4; y = o + 7; l = s + 16; i = e + 14; w = i + 19; s = 6; e = s + 3. If s = 6, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"t": "z + 16", "u": "t + 1", "g": "u + 13", "d": "g + 5", "f": "d + 2", "i": "f + 1", "r": "z + 17", "n": "r + 4", "j": "n + 8", "h": "j + 14", "o": "h + 19", "q": "o + 7", "z": 17}, "premises": {"z": 17}, "target": "i"}, "answer": {"steps": [["f", "d + 2", "d + 3"], ["d", "g + 5", "g + 8"], ["g", "u + 13", "u + 21"], ["u", "t + 1", "t + 22"], ["t", "z + 16", "z + 38"], ["z", 17, "55"]], "target_var_name": "i", "target_value": 55, "value_dict": {"z": 17}, "is_reverse": true}} | 8,020 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = z + 16; r = z + 17; u = t + 1; i = f + 1; g = u + 13; f = d + 2; z = 17; n = r + 4; h = j + 14; o = h + 19; q = o + 7; j = n + 8; d = g + 5. If z = 17, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = d + 2 to i, which gives i = d + 3.\n2. Substitute d = g + 5 to i, which gives i = g + 8.\n3. Substitute g = u + 13 to i, which gives i = u + 21.\n4. Substitute u = t + 1 to i, which gives i = t + 22.\n5. Substitute t = z + 16 to i, which gives i = z + 38.\n6. Substitute z = 17 to i, which gives i = 55.\n\nThus, the final answer is i = \\boxed{55}.",
"index": 8020,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = z + 16; r = z + 17; u = t + 1; i = f + 1; g = u + 13; f = d + 2; z = 17; n = r + 4; h = j + 14; o = h + 19; q = o + 7; j = n + 8; d = g + 5. If z = 17, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"i": "g + 9", "w": "i + 18", "n": "w + 1", "z": "n + 3", "e": "z + 17", "x": "e + 5", "l": "g + 16", "d": "l + 3", "t": "d + 2", "p": "t + 15", "s": "p + 8", "q": "s + 11", "g": 9}, "premises": {"g": 9}, "target": "x"}, "answer": {"steps": [["e", "z + 17", "z + 22"], ["z", "n + 3", "n + 25"], ["n", "w + 1", "w + 26"], ["w", "i + 18", "i + 44"], ["i", "g + 9", "g + 53"], ["g", 9, "62"]], "target_var_name": "x", "target_value": 62, "value_dict": {"g": 9}, "is_reverse": true}} | 8,021 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = d + 2; x = e + 5; w = i + 18; d = l + 3; p = t + 15; i = g + 9; s = p + 8; q = s + 11; l = g + 16; n = w + 1; g = 9; e = z + 17; z = n + 3. Given that g = 9, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = z + 17 to x, which gives x = z + 22.\n2. Substitute z = n + 3 to x, which gives x = n + 25.\n3. Substitute n = w + 1 to x, which gives x = w + 26.\n4. Substitute w = i + 18 to x, which gives x = i + 44.\n5. Substitute i = g + 9 to x, which gives x = g + 53.\n6. Substitute g = 9 to x, which gives x = 62.\n\nThus, the final answer is x = \\boxed{62}.",
"index": 8021,
"question": "Suppose a collection of variables is related by the following definitions: t = d + 2; x = e + 5; w = i + 18; d = l + 3; p = t + 15; i = g + 9; s = p + 8; q = s + 11; l = g + 16; n = w + 1; g = 9; e = z + 17; z = n + 3. Given that g = 9, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"e": "n + 10", "r": "e + 16", "d": "r + 13", "w": "d + 5", "j": "w + 16", "x": "j + 15", "z": "n + 15", "l": "z + 7", "u": "l + 9", "f": "u + 6", "a": "f + 14", "t": "a + 12", "n": 8}, "premises": {"n": 8}, "target": "x"}, "answer": {"steps": [["j", "w + 16", "w + 31"], ["w", "d + 5", "d + 36"], ["d", "r + 13", "r + 49"], ["r", "e + 16", "e + 65"], ["e", "n + 10", "n + 75"], ["n", 8, "83"]], "target_var_name": "x", "target_value": 83, "value_dict": {"n": 8}, "is_reverse": true}} | 8,022 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = j + 15; l = z + 7; r = e + 16; w = d + 5; d = r + 13; u = l + 9; n = 8; a = f + 14; e = n + 10; z = n + 15; j = w + 16; f = u + 6; t = a + 12. If n = 8, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = w + 16 to x, which gives x = w + 31.\n2. Substitute w = d + 5 to x, which gives x = d + 36.\n3. Substitute d = r + 13 to x, which gives x = r + 49.\n4. Substitute r = e + 16 to x, which gives x = e + 65.\n5. Substitute e = n + 10 to x, which gives x = n + 75.\n6. Substitute n = 8 to x, which gives x = 83.\n\nThus, the final answer is x = \\boxed{83}.",
"index": 8022,
"question": "Consider a system of variables where each variable is defined as follows: x = j + 15; l = z + 7; r = e + 16; w = d + 5; d = r + 13; u = l + 9; n = 8; a = f + 14; e = n + 10; z = n + 15; j = w + 16; f = u + 6; t = a + 12. If n = 8, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"x": "z + 4", "w": "x + 4", "o": "w + 19", "d": "o + 6", "j": "d + 11", "a": "j + 19", "l": "z + 7", "q": "l + 3", "r": "q + 11", "f": "r + 20", "v": "f + 3", "u": "v + 10", "z": 17}, "premises": {"z": 17}, "target": "a"}, "answer": {"steps": [["j", "d + 11", "d + 30"], ["d", "o + 6", "o + 36"], ["o", "w + 19", "w + 55"], ["w", "x + 4", "x + 59"], ["x", "z + 4", "z + 63"], ["z", 17, "80"]], "target_var_name": "a", "target_value": 80, "value_dict": {"z": 17}, "is_reverse": true}} | 8,023 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = r + 20; r = q + 11; w = x + 4; u = v + 10; x = z + 4; o = w + 19; j = d + 11; a = j + 19; l = z + 7; q = l + 3; v = f + 3; z = 17; d = o + 6. If z = 17, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = d + 11 to a, which gives a = d + 30.\n2. Substitute d = o + 6 to a, which gives a = o + 36.\n3. Substitute o = w + 19 to a, which gives a = w + 55.\n4. Substitute w = x + 4 to a, which gives a = x + 59.\n5. Substitute x = z + 4 to a, which gives a = z + 63.\n6. Substitute z = 17 to a, which gives a = 80.\n\nThus, the final answer is a = \\boxed{80}.",
"index": 8023,
"question": "Consider a system of variables where each variable is defined as follows: f = r + 20; r = q + 11; w = x + 4; u = v + 10; x = z + 4; o = w + 19; j = d + 11; a = j + 19; l = z + 7; q = l + 3; v = f + 3; z = 17; d = o + 6. If z = 17, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"h": "j + 12", "i": "h + 6", "c": "i + 4", "t": "c + 18", "n": "t + 16", "s": "n + 19", "f": "j + 4", "z": "f + 11", "r": "z + 5", "q": "r + 17", "x": "q + 19", "b": "x + 6", "j": 19}, "premises": {"j": 19}, "target": "s"}, "answer": {"steps": [["n", "t + 16", "t + 35"], ["t", "c + 18", "c + 53"], ["c", "i + 4", "i + 57"], ["i", "h + 6", "h + 63"], ["h", "j + 12", "j + 75"], ["j", 19, "94"]], "target_var_name": "s", "target_value": 94, "value_dict": {"j": 19}, "is_reverse": true}} | 8,024 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = q + 19; c = i + 4; n = t + 16; b = x + 6; s = n + 19; z = f + 11; r = z + 5; f = j + 4; q = r + 17; i = h + 6; h = j + 12; t = c + 18; j = 19. Given that j = 19, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = t + 16 to s, which gives s = t + 35.\n2. Substitute t = c + 18 to s, which gives s = c + 53.\n3. Substitute c = i + 4 to s, which gives s = i + 57.\n4. Substitute i = h + 6 to s, which gives s = h + 63.\n5. Substitute h = j + 12 to s, which gives s = j + 75.\n6. Substitute j = 19 to s, which gives s = 94.\n\nThus, the final answer is s = \\boxed{94}.",
"index": 8024,
"question": "Suppose a collection of variables is related by the following definitions: x = q + 19; c = i + 4; n = t + 16; b = x + 6; s = n + 19; z = f + 11; r = z + 5; f = j + 4; q = r + 17; i = h + 6; h = j + 12; t = c + 18; j = 19. Given that j = 19, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"i": "h + 16", "a": "i + 14", "l": "a + 10", "q": "l + 1", "x": "q + 7", "t": "x + 16", "j": "h + 10", "o": "j + 11", "k": "o + 9", "y": "k + 4", "u": "y + 10", "w": "u + 8", "h": 10}, "premises": {"h": 10}, "target": "t"}, "answer": {"steps": [["x", "q + 7", "q + 23"], ["q", "l + 1", "l + 24"], ["l", "a + 10", "a + 34"], ["a", "i + 14", "i + 48"], ["i", "h + 16", "h + 64"], ["h", 10, "74"]], "target_var_name": "t", "target_value": 74, "value_dict": {"h": 10}, "is_reverse": true}} | 8,025 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = h + 10; o = j + 11; l = a + 10; x = q + 7; u = y + 10; q = l + 1; h = 10; t = x + 16; w = u + 8; i = h + 16; y = k + 4; a = i + 14; k = o + 9. If h = 10, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = q + 7 to t, which gives t = q + 23.\n2. Substitute q = l + 1 to t, which gives t = l + 24.\n3. Substitute l = a + 10 to t, which gives t = a + 34.\n4. Substitute a = i + 14 to t, which gives t = i + 48.\n5. Substitute i = h + 16 to t, which gives t = h + 64.\n6. Substitute h = 10 to t, which gives t = 74.\n\nThus, the final answer is t = \\boxed{74}.",
"index": 8025,
"question": "Consider a system of variables where each variable is defined as follows: j = h + 10; o = j + 11; l = a + 10; x = q + 7; u = y + 10; q = l + 1; h = 10; t = x + 16; w = u + 8; i = h + 16; y = k + 4; a = i + 14; k = o + 9. If h = 10, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"p": "o + 15", "e": "p + 7", "u": "e + 11", "q": "u + 19", "a": "q + 12", "z": "a + 2", "w": "o + 7", "b": "w + 8", "n": "b + 17", "i": "n + 20", "v": "i + 3", "x": "v + 11", "o": 9}, "premises": {"o": 9}, "target": "z"}, "answer": {"steps": [["a", "q + 12", "q + 14"], ["q", "u + 19", "u + 33"], ["u", "e + 11", "e + 44"], ["e", "p + 7", "p + 51"], ["p", "o + 15", "o + 66"], ["o", 9, "75"]], "target_var_name": "z", "target_value": 75, "value_dict": {"o": 9}, "is_reverse": true}} | 8,026 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = a + 2; i = n + 20; b = w + 8; q = u + 19; o = 9; u = e + 11; x = v + 11; v = i + 3; w = o + 7; n = b + 17; a = q + 12; e = p + 7; p = o + 15. If o = 9, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = q + 12 to z, which gives z = q + 14.\n2. Substitute q = u + 19 to z, which gives z = u + 33.\n3. Substitute u = e + 11 to z, which gives z = e + 44.\n4. Substitute e = p + 7 to z, which gives z = p + 51.\n5. Substitute p = o + 15 to z, which gives z = o + 66.\n6. Substitute o = 9 to z, which gives z = 75.\n\nThus, the final answer is z = \\boxed{75}.",
"index": 8026,
"question": "Consider a system of variables where each variable is defined as follows: z = a + 2; i = n + 20; b = w + 8; q = u + 19; o = 9; u = e + 11; x = v + 11; v = i + 3; w = o + 7; n = b + 17; a = q + 12; e = p + 7; p = o + 15. If o = 9, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"a": "y + 12", "g": "a + 20", "z": "g + 7", "p": "z + 12", "c": "p + 7", "b": "c + 19", "f": "y + 10", "s": "f + 12", "x": "s + 6", "i": "x + 16", "o": "i + 19", "r": "o + 2", "y": 17}, "premises": {"y": 17}, "target": "b"}, "answer": {"steps": [["c", "p + 7", "p + 26"], ["p", "z + 12", "z + 38"], ["z", "g + 7", "g + 45"], ["g", "a + 20", "a + 65"], ["a", "y + 12", "y + 77"], ["y", 17, "94"]], "target_var_name": "b", "target_value": 94, "value_dict": {"y": 17}, "is_reverse": true}} | 8,027 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = y + 10; y = 17; c = p + 7; g = a + 20; r = o + 2; a = y + 12; o = i + 19; z = g + 7; s = f + 12; i = x + 16; x = s + 6; p = z + 12; b = c + 19. If y = 17, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = p + 7 to b, which gives b = p + 26.\n2. Substitute p = z + 12 to b, which gives b = z + 38.\n3. Substitute z = g + 7 to b, which gives b = g + 45.\n4. Substitute g = a + 20 to b, which gives b = a + 65.\n5. Substitute a = y + 12 to b, which gives b = y + 77.\n6. Substitute y = 17 to b, which gives b = 94.\n\nThus, the final answer is b = \\boxed{94}.",
"index": 8027,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = y + 10; y = 17; c = p + 7; g = a + 20; r = o + 2; a = y + 12; o = i + 19; z = g + 7; s = f + 12; i = x + 16; x = s + 6; p = z + 12; b = c + 19. If y = 17, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"w": "a + 7", "d": "w + 5", "t": "d + 9", "q": "t + 13", "s": "q + 1", "v": "s + 10", "p": "a + 13", "i": "p + 16", "e": "i + 1", "h": "e + 1", "m": "h + 15", "g": "m + 10", "a": 7}, "premises": {"a": 7}, "target": "v"}, "answer": {"steps": [["s", "q + 1", "q + 11"], ["q", "t + 13", "t + 24"], ["t", "d + 9", "d + 33"], ["d", "w + 5", "w + 38"], ["w", "a + 7", "a + 45"], ["a", 7, "52"]], "target_var_name": "v", "target_value": 52, "value_dict": {"a": 7}, "is_reverse": true}} | 8,028 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = q + 1; w = a + 7; m = h + 15; v = s + 10; h = e + 1; q = t + 13; p = a + 13; g = m + 10; t = d + 9; a = 7; i = p + 16; d = w + 5; e = i + 1. Given that a = 7, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = q + 1 to v, which gives v = q + 11.\n2. Substitute q = t + 13 to v, which gives v = t + 24.\n3. Substitute t = d + 9 to v, which gives v = d + 33.\n4. Substitute d = w + 5 to v, which gives v = w + 38.\n5. Substitute w = a + 7 to v, which gives v = a + 45.\n6. Substitute a = 7 to v, which gives v = 52.\n\nThus, the final answer is v = \\boxed{52}.",
"index": 8028,
"question": "Suppose a collection of variables is related by the following definitions: s = q + 1; w = a + 7; m = h + 15; v = s + 10; h = e + 1; q = t + 13; p = a + 13; g = m + 10; t = d + 9; a = 7; i = p + 16; d = w + 5; e = i + 1. Given that a = 7, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"g": "m + 4", "d": "g + 11", "v": "d + 2", "k": "v + 12", "p": "k + 10", "r": "p + 6", "y": "m + 12", "n": "y + 6", "x": "n + 2", "t": "x + 16", "h": "t + 16", "i": "h + 4", "m": 17}, "premises": {"m": 17}, "target": "r"}, "answer": {"steps": [["p", "k + 10", "k + 16"], ["k", "v + 12", "v + 28"], ["v", "d + 2", "d + 30"], ["d", "g + 11", "g + 41"], ["g", "m + 4", "m + 45"], ["m", 17, "62"]], "target_var_name": "r", "target_value": 62, "value_dict": {"m": 17}, "is_reverse": true}} | 8,029 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = t + 16; p = k + 10; y = m + 12; d = g + 11; k = v + 12; m = 17; r = p + 6; x = n + 2; g = m + 4; i = h + 4; t = x + 16; n = y + 6; v = d + 2. If m = 17, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = k + 10 to r, which gives r = k + 16.\n2. Substitute k = v + 12 to r, which gives r = v + 28.\n3. Substitute v = d + 2 to r, which gives r = d + 30.\n4. Substitute d = g + 11 to r, which gives r = g + 41.\n5. Substitute g = m + 4 to r, which gives r = m + 45.\n6. Substitute m = 17 to r, which gives r = 62.\n\nThus, the final answer is r = \\boxed{62}.",
"index": 8029,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = t + 16; p = k + 10; y = m + 12; d = g + 11; k = v + 12; m = 17; r = p + 6; x = n + 2; g = m + 4; i = h + 4; t = x + 16; n = y + 6; v = d + 2. If m = 17, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"e": "f + 8", "c": "e + 5", "k": "c + 1", "j": "k + 20", "i": "j + 17", "y": "i + 20", "m": "f + 8", "z": "m + 7", "w": "z + 14", "d": "w + 1", "s": "d + 19", "n": "s + 10", "f": 10}, "premises": {"f": 10}, "target": "y"}, "answer": {"steps": [["i", "j + 17", "j + 37"], ["j", "k + 20", "k + 57"], ["k", "c + 1", "c + 58"], ["c", "e + 5", "e + 63"], ["e", "f + 8", "f + 71"], ["f", 10, "81"]], "target_var_name": "y", "target_value": 81, "value_dict": {"f": 10}, "is_reverse": true}} | 8,030 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = m + 7; j = k + 20; e = f + 8; m = f + 8; y = i + 20; d = w + 1; i = j + 17; n = s + 10; k = c + 1; w = z + 14; f = 10; c = e + 5; s = d + 19. If f = 10, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = j + 17 to y, which gives y = j + 37.\n2. Substitute j = k + 20 to y, which gives y = k + 57.\n3. Substitute k = c + 1 to y, which gives y = c + 58.\n4. Substitute c = e + 5 to y, which gives y = e + 63.\n5. Substitute e = f + 8 to y, which gives y = f + 71.\n6. Substitute f = 10 to y, which gives y = 81.\n\nThus, the final answer is y = \\boxed{81}.",
"index": 8030,
"question": "Consider a system of variables where each variable is defined as follows: z = m + 7; j = k + 20; e = f + 8; m = f + 8; y = i + 20; d = w + 1; i = j + 17; n = s + 10; k = c + 1; w = z + 14; f = 10; c = e + 5; s = d + 19. If f = 10, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"k": "d + 16", "z": "k + 14", "y": "z + 10", "g": "y + 8", "f": "g + 15", "c": "f + 11", "a": "d + 18", "t": "a + 6", "e": "t + 6", "n": "e + 5", "p": "n + 20", "r": "p + 18", "d": 1}, "premises": {"d": 1}, "target": "c"}, "answer": {"steps": [["f", "g + 15", "g + 26"], ["g", "y + 8", "y + 34"], ["y", "z + 10", "z + 44"], ["z", "k + 14", "k + 58"], ["k", "d + 16", "d + 74"], ["d", 1, "75"]], "target_var_name": "c", "target_value": 75, "value_dict": {"d": 1}, "is_reverse": true}} | 8,031 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = a + 6; e = t + 6; g = y + 8; r = p + 18; k = d + 16; y = z + 10; z = k + 14; p = n + 20; c = f + 11; d = 1; a = d + 18; n = e + 5; f = g + 15. If d = 1, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = g + 15 to c, which gives c = g + 26.\n2. Substitute g = y + 8 to c, which gives c = y + 34.\n3. Substitute y = z + 10 to c, which gives c = z + 44.\n4. Substitute z = k + 14 to c, which gives c = k + 58.\n5. Substitute k = d + 16 to c, which gives c = d + 74.\n6. Substitute d = 1 to c, which gives c = 75.\n\nThus, the final answer is c = \\boxed{75}.",
"index": 8031,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = a + 6; e = t + 6; g = y + 8; r = p + 18; k = d + 16; y = z + 10; z = k + 14; p = n + 20; c = f + 11; d = 1; a = d + 18; n = e + 5; f = g + 15. If d = 1, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"s": "z + 4", "h": "s + 4", "y": "h + 16", "k": "y + 18", "q": "k + 18", "n": "q + 18", "t": "z + 12", "b": "t + 14", "v": "b + 4", "u": "v + 18", "j": "u + 7", "g": "j + 19", "z": 3}, "premises": {"z": 3}, "target": "n"}, "answer": {"steps": [["q", "k + 18", "k + 36"], ["k", "y + 18", "y + 54"], ["y", "h + 16", "h + 70"], ["h", "s + 4", "s + 74"], ["s", "z + 4", "z + 78"], ["z", 3, "81"]], "target_var_name": "n", "target_value": 81, "value_dict": {"z": 3}, "is_reverse": true}} | 8,032 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = j + 19; n = q + 18; s = z + 4; q = k + 18; z = 3; k = y + 18; h = s + 4; u = v + 18; b = t + 14; v = b + 4; t = z + 12; y = h + 16; j = u + 7. If z = 3, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = k + 18 to n, which gives n = k + 36.\n2. Substitute k = y + 18 to n, which gives n = y + 54.\n3. Substitute y = h + 16 to n, which gives n = h + 70.\n4. Substitute h = s + 4 to n, which gives n = s + 74.\n5. Substitute s = z + 4 to n, which gives n = z + 78.\n6. Substitute z = 3 to n, which gives n = 81.\n\nThus, the final answer is n = \\boxed{81}.",
"index": 8032,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = j + 19; n = q + 18; s = z + 4; q = k + 18; z = 3; k = y + 18; h = s + 4; u = v + 18; b = t + 14; v = b + 4; t = z + 12; y = h + 16; j = u + 7. If z = 3, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"e": "g + 2", "x": "e + 6", "j": "x + 9", "l": "j + 10", "s": "l + 10", "d": "s + 18", "n": "g + 1", "c": "n + 5", "o": "c + 10", "b": "o + 12", "h": "b + 14", "a": "h + 9", "g": 12}, "premises": {"g": 12}, "target": "d"}, "answer": {"steps": [["s", "l + 10", "l + 28"], ["l", "j + 10", "j + 38"], ["j", "x + 9", "x + 47"], ["x", "e + 6", "e + 53"], ["e", "g + 2", "g + 55"], ["g", 12, "67"]], "target_var_name": "d", "target_value": 67, "value_dict": {"g": 12}, "is_reverse": true}} | 8,033 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = 12; x = e + 6; b = o + 12; n = g + 1; o = c + 10; d = s + 18; l = j + 10; j = x + 9; s = l + 10; e = g + 2; a = h + 9; h = b + 14; c = n + 5. Given that g = 12, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = l + 10 to d, which gives d = l + 28.\n2. Substitute l = j + 10 to d, which gives d = j + 38.\n3. Substitute j = x + 9 to d, which gives d = x + 47.\n4. Substitute x = e + 6 to d, which gives d = e + 53.\n5. Substitute e = g + 2 to d, which gives d = g + 55.\n6. Substitute g = 12 to d, which gives d = 67.\n\nThus, the final answer is d = \\boxed{67}.",
"index": 8033,
"question": "Suppose a collection of variables is related by the following definitions: g = 12; x = e + 6; b = o + 12; n = g + 1; o = c + 10; d = s + 18; l = j + 10; j = x + 9; s = l + 10; e = g + 2; a = h + 9; h = b + 14; c = n + 5. Given that g = 12, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"y": "c + 14", "g": "y + 15", "m": "g + 3", "p": "m + 1", "o": "p + 19", "e": "o + 9", "n": "c + 8", "t": "n + 14", "s": "t + 17", "k": "s + 17", "v": "k + 16", "a": "v + 11", "c": 8}, "premises": {"c": 8}, "target": "e"}, "answer": {"steps": [["o", "p + 19", "p + 28"], ["p", "m + 1", "m + 29"], ["m", "g + 3", "g + 32"], ["g", "y + 15", "y + 47"], ["y", "c + 14", "c + 61"], ["c", 8, "69"]], "target_var_name": "e", "target_value": 69, "value_dict": {"c": 8}, "is_reverse": true}} | 8,034 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = m + 1; t = n + 14; c = 8; s = t + 17; v = k + 16; y = c + 14; a = v + 11; e = o + 9; k = s + 17; n = c + 8; o = p + 19; m = g + 3; g = y + 15. Given that c = 8, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = p + 19 to e, which gives e = p + 28.\n2. Substitute p = m + 1 to e, which gives e = m + 29.\n3. Substitute m = g + 3 to e, which gives e = g + 32.\n4. Substitute g = y + 15 to e, which gives e = y + 47.\n5. Substitute y = c + 14 to e, which gives e = c + 61.\n6. Substitute c = 8 to e, which gives e = 69.\n\nThus, the final answer is e = \\boxed{69}.",
"index": 8034,
"question": "Suppose a collection of variables is related by the following definitions: p = m + 1; t = n + 14; c = 8; s = t + 17; v = k + 16; y = c + 14; a = v + 11; e = o + 9; k = s + 17; n = c + 8; o = p + 19; m = g + 3; g = y + 15. Given that c = 8, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"x": "k + 7", "l": "x + 20", "u": "l + 17", "r": "u + 4", "m": "r + 7", "a": "m + 15", "q": "k + 2", "w": "q + 15", "d": "w + 7", "n": "d + 12", "p": "n + 5", "f": "p + 6", "k": 19}, "premises": {"k": 19}, "target": "a"}, "answer": {"steps": [["m", "r + 7", "r + 22"], ["r", "u + 4", "u + 26"], ["u", "l + 17", "l + 43"], ["l", "x + 20", "x + 63"], ["x", "k + 7", "k + 70"], ["k", 19, "89"]], "target_var_name": "a", "target_value": 89, "value_dict": {"k": 19}, "is_reverse": true}} | 8,035 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = q + 15; m = r + 7; n = d + 12; q = k + 2; k = 19; f = p + 6; d = w + 7; a = m + 15; x = k + 7; u = l + 17; r = u + 4; p = n + 5; l = x + 20. If k = 19, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = r + 7 to a, which gives a = r + 22.\n2. Substitute r = u + 4 to a, which gives a = u + 26.\n3. Substitute u = l + 17 to a, which gives a = l + 43.\n4. Substitute l = x + 20 to a, which gives a = x + 63.\n5. Substitute x = k + 7 to a, which gives a = k + 70.\n6. Substitute k = 19 to a, which gives a = 89.\n\nThus, the final answer is a = \\boxed{89}.",
"index": 8035,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = q + 15; m = r + 7; n = d + 12; q = k + 2; k = 19; f = p + 6; d = w + 7; a = m + 15; x = k + 7; u = l + 17; r = u + 4; p = n + 5; l = x + 20. If k = 19, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"b": "j + 13", "e": "b + 4", "n": "e + 20", "m": "n + 20", "y": "m + 6", "k": "y + 2", "t": "j + 12", "a": "t + 7", "c": "a + 10", "h": "c + 7", "r": "h + 11", "d": "r + 7", "j": 5}, "premises": {"j": 5}, "target": "k"}, "answer": {"steps": [["y", "m + 6", "m + 8"], ["m", "n + 20", "n + 28"], ["n", "e + 20", "e + 48"], ["e", "b + 4", "b + 52"], ["b", "j + 13", "j + 65"], ["j", 5, "70"]], "target_var_name": "k", "target_value": 70, "value_dict": {"j": 5}, "is_reverse": true}} | 8,036 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = b + 4; a = t + 7; k = y + 2; j = 5; c = a + 10; t = j + 12; y = m + 6; m = n + 20; n = e + 20; h = c + 7; d = r + 7; r = h + 11; b = j + 13. If j = 5, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = m + 6 to k, which gives k = m + 8.\n2. Substitute m = n + 20 to k, which gives k = n + 28.\n3. Substitute n = e + 20 to k, which gives k = e + 48.\n4. Substitute e = b + 4 to k, which gives k = b + 52.\n5. Substitute b = j + 13 to k, which gives k = j + 65.\n6. Substitute j = 5 to k, which gives k = 70.\n\nThus, the final answer is k = \\boxed{70}.",
"index": 8036,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = b + 4; a = t + 7; k = y + 2; j = 5; c = a + 10; t = j + 12; y = m + 6; m = n + 20; n = e + 20; h = c + 7; d = r + 7; r = h + 11; b = j + 13. If j = 5, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"i": "o + 18", "h": "i + 11", "e": "h + 7", "s": "e + 5", "f": "s + 13", "b": "f + 19", "z": "o + 4", "x": "z + 16", "t": "x + 14", "k": "t + 13", "n": "k + 18", "u": "n + 10", "o": 18}, "premises": {"o": 18}, "target": "b"}, "answer": {"steps": [["f", "s + 13", "s + 32"], ["s", "e + 5", "e + 37"], ["e", "h + 7", "h + 44"], ["h", "i + 11", "i + 55"], ["i", "o + 18", "o + 73"], ["o", 18, "91"]], "target_var_name": "b", "target_value": 91, "value_dict": {"o": 18}, "is_reverse": true}} | 8,037 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = e + 5; i = o + 18; k = t + 13; x = z + 16; h = i + 11; z = o + 4; b = f + 19; o = 18; n = k + 18; t = x + 14; u = n + 10; e = h + 7; f = s + 13. Given that o = 18, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = s + 13 to b, which gives b = s + 32.\n2. Substitute s = e + 5 to b, which gives b = e + 37.\n3. Substitute e = h + 7 to b, which gives b = h + 44.\n4. Substitute h = i + 11 to b, which gives b = i + 55.\n5. Substitute i = o + 18 to b, which gives b = o + 73.\n6. Substitute o = 18 to b, which gives b = 91.\n\nThus, the final answer is b = \\boxed{91}.",
"index": 8037,
"question": "Suppose a collection of variables is related by the following definitions: s = e + 5; i = o + 18; k = t + 13; x = z + 16; h = i + 11; z = o + 4; b = f + 19; o = 18; n = k + 18; t = x + 14; u = n + 10; e = h + 7; f = s + 13. Given that o = 18, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"y": "s + 15", "p": "y + 10", "q": "p + 8", "h": "q + 12", "d": "h + 10", "i": "d + 2", "r": "s + 11", "b": "r + 12", "g": "b + 9", "c": "g + 14", "w": "c + 6", "u": "w + 15", "s": 17}, "premises": {"s": 17}, "target": "i"}, "answer": {"steps": [["d", "h + 10", "h + 12"], ["h", "q + 12", "q + 24"], ["q", "p + 8", "p + 32"], ["p", "y + 10", "y + 42"], ["y", "s + 15", "s + 57"], ["s", 17, "74"]], "target_var_name": "i", "target_value": 74, "value_dict": {"s": 17}, "is_reverse": true}} | 8,038 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = d + 2; h = q + 12; d = h + 10; u = w + 15; r = s + 11; q = p + 8; p = y + 10; s = 17; w = c + 6; g = b + 9; c = g + 14; y = s + 15; b = r + 12. If s = 17, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = h + 10 to i, which gives i = h + 12.\n2. Substitute h = q + 12 to i, which gives i = q + 24.\n3. Substitute q = p + 8 to i, which gives i = p + 32.\n4. Substitute p = y + 10 to i, which gives i = y + 42.\n5. Substitute y = s + 15 to i, which gives i = s + 57.\n6. Substitute s = 17 to i, which gives i = 74.\n\nThus, the final answer is i = \\boxed{74}.",
"index": 8038,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = d + 2; h = q + 12; d = h + 10; u = w + 15; r = s + 11; q = p + 8; p = y + 10; s = 17; w = c + 6; g = b + 9; c = g + 14; y = s + 15; b = r + 12. If s = 17, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"x": "y + 11", "p": "x + 5", "v": "p + 13", "w": "v + 19", "q": "w + 3", "f": "q + 6", "c": "y + 2", "r": "c + 3", "z": "r + 5", "i": "z + 7", "j": "i + 3", "k": "j + 7", "y": 17}, "premises": {"y": 17}, "target": "f"}, "answer": {"steps": [["q", "w + 3", "w + 9"], ["w", "v + 19", "v + 28"], ["v", "p + 13", "p + 41"], ["p", "x + 5", "x + 46"], ["x", "y + 11", "y + 57"], ["y", 17, "74"]], "target_var_name": "f", "target_value": 74, "value_dict": {"y": 17}, "is_reverse": true}} | 8,039 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = q + 6; p = x + 5; r = c + 3; v = p + 13; k = j + 7; i = z + 7; z = r + 5; y = 17; w = v + 19; q = w + 3; j = i + 3; c = y + 2; x = y + 11. Given that y = 17, 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 q = w + 3 to f, which gives f = w + 9.\n2. Substitute w = v + 19 to f, which gives f = v + 28.\n3. Substitute v = p + 13 to f, which gives f = p + 41.\n4. Substitute p = x + 5 to f, which gives f = x + 46.\n5. Substitute x = y + 11 to f, which gives f = y + 57.\n6. Substitute y = 17 to f, which gives f = 74.\n\nThus, the final answer is f = \\boxed{74}.",
"index": 8039,
"question": "Suppose a collection of variables is related by the following definitions: f = q + 6; p = x + 5; r = c + 3; v = p + 13; k = j + 7; i = z + 7; z = r + 5; y = 17; w = v + 19; q = w + 3; j = i + 3; c = y + 2; x = y + 11. Given that y = 17, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"t": "w + 6", "y": "t + 2", "j": "y + 14", "f": "j + 15", "q": "f + 14", "c": "q + 18", "m": "w + 16", "p": "m + 20", "v": "p + 9", "z": "v + 20", "s": "z + 10", "o": "s + 4", "w": 12}, "premises": {"w": 12}, "target": "c"}, "answer": {"steps": [["q", "f + 14", "f + 32"], ["f", "j + 15", "j + 47"], ["j", "y + 14", "y + 61"], ["y", "t + 2", "t + 63"], ["t", "w + 6", "w + 69"], ["w", 12, "81"]], "target_var_name": "c", "target_value": 81, "value_dict": {"w": 12}, "is_reverse": true}} | 8,040 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = y + 14; y = t + 2; t = w + 6; q = f + 14; z = v + 20; v = p + 9; c = q + 18; f = j + 15; p = m + 20; s = z + 10; m = w + 16; o = s + 4; w = 12. Given that w = 12, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = f + 14 to c, which gives c = f + 32.\n2. Substitute f = j + 15 to c, which gives c = j + 47.\n3. Substitute j = y + 14 to c, which gives c = y + 61.\n4. Substitute y = t + 2 to c, which gives c = t + 63.\n5. Substitute t = w + 6 to c, which gives c = w + 69.\n6. Substitute w = 12 to c, which gives c = 81.\n\nThus, the final answer is c = \\boxed{81}.",
"index": 8040,
"question": "Suppose a collection of variables is related by the following definitions: j = y + 14; y = t + 2; t = w + 6; q = f + 14; z = v + 20; v = p + 9; c = q + 18; f = j + 15; p = m + 20; s = z + 10; m = w + 16; o = s + 4; w = 12. Given that w = 12, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"s": "j + 14", "p": "s + 9", "o": "p + 4", "a": "o + 12", "r": "a + 11", "i": "r + 16", "k": "j + 1", "q": "k + 13", "y": "q + 17", "t": "y + 19", "g": "t + 18", "x": "g + 18", "j": 17}, "premises": {"j": 17}, "target": "i"}, "answer": {"steps": [["r", "a + 11", "a + 27"], ["a", "o + 12", "o + 39"], ["o", "p + 4", "p + 43"], ["p", "s + 9", "s + 52"], ["s", "j + 14", "j + 66"], ["j", 17, "83"]], "target_var_name": "i", "target_value": 83, "value_dict": {"j": 17}, "is_reverse": true}} | 8,041 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = r + 16; r = a + 11; j = 17; y = q + 17; a = o + 12; t = y + 19; p = s + 9; x = g + 18; s = j + 14; q = k + 13; k = j + 1; g = t + 18; o = p + 4. If j = 17, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = a + 11 to i, which gives i = a + 27.\n2. Substitute a = o + 12 to i, which gives i = o + 39.\n3. Substitute o = p + 4 to i, which gives i = p + 43.\n4. Substitute p = s + 9 to i, which gives i = s + 52.\n5. Substitute s = j + 14 to i, which gives i = j + 66.\n6. Substitute j = 17 to i, which gives i = 83.\n\nThus, the final answer is i = \\boxed{83}.",
"index": 8041,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = r + 16; r = a + 11; j = 17; y = q + 17; a = o + 12; t = y + 19; p = s + 9; x = g + 18; s = j + 14; q = k + 13; k = j + 1; g = t + 18; o = p + 4. If j = 17, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"q": "p + 12", "b": "q + 4", "n": "b + 4", "y": "n + 4", "z": "y + 14", "i": "z + 11", "o": "p + 15", "l": "o + 19", "v": "l + 20", "e": "v + 8", "w": "e + 5", "u": "w + 10", "p": 15}, "premises": {"p": 15}, "target": "i"}, "answer": {"steps": [["z", "y + 14", "y + 25"], ["y", "n + 4", "n + 29"], ["n", "b + 4", "b + 33"], ["b", "q + 4", "q + 37"], ["q", "p + 12", "p + 49"], ["p", 15, "64"]], "target_var_name": "i", "target_value": 64, "value_dict": {"p": 15}, "is_reverse": true}} | 8,042 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = w + 10; v = l + 20; w = e + 5; l = o + 19; q = p + 12; y = n + 4; i = z + 11; e = v + 8; b = q + 4; n = b + 4; p = 15; o = p + 15; z = y + 14. Given that p = 15, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = y + 14 to i, which gives i = y + 25.\n2. Substitute y = n + 4 to i, which gives i = n + 29.\n3. Substitute n = b + 4 to i, which gives i = b + 33.\n4. Substitute b = q + 4 to i, which gives i = q + 37.\n5. Substitute q = p + 12 to i, which gives i = p + 49.\n6. Substitute p = 15 to i, which gives i = 64.\n\nThus, the final answer is i = \\boxed{64}.",
"index": 8042,
"question": "Suppose a collection of variables is related by the following definitions: u = w + 10; v = l + 20; w = e + 5; l = o + 19; q = p + 12; y = n + 4; i = z + 11; e = v + 8; b = q + 4; n = b + 4; p = 15; o = p + 15; z = y + 14. Given that p = 15, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"c": "o + 16", "l": "c + 11", "s": "l + 17", "t": "s + 19", "g": "t + 18", "f": "g + 15", "w": "o + 12", "e": "w + 6", "d": "e + 13", "a": "d + 6", "m": "a + 8", "q": "m + 9", "o": 20}, "premises": {"o": 20}, "target": "f"}, "answer": {"steps": [["g", "t + 18", "t + 33"], ["t", "s + 19", "s + 52"], ["s", "l + 17", "l + 69"], ["l", "c + 11", "c + 80"], ["c", "o + 16", "o + 96"], ["o", 20, "116"]], "target_var_name": "f", "target_value": 116, "value_dict": {"o": 20}, "is_reverse": true}} | 8,043 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = s + 19; e = w + 6; g = t + 18; q = m + 9; d = e + 13; l = c + 11; m = a + 8; a = d + 6; w = o + 12; c = o + 16; f = g + 15; s = l + 17; o = 20. Given that o = 20, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 116,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = t + 18 to f, which gives f = t + 33.\n2. Substitute t = s + 19 to f, which gives f = s + 52.\n3. Substitute s = l + 17 to f, which gives f = l + 69.\n4. Substitute l = c + 11 to f, which gives f = c + 80.\n5. Substitute c = o + 16 to f, which gives f = o + 96.\n6. Substitute o = 20 to f, which gives f = 116.\n\nThus, the final answer is f = \\boxed{116}.",
"index": 8043,
"question": "Suppose a collection of variables is related by the following definitions: t = s + 19; e = w + 6; g = t + 18; q = m + 9; d = e + 13; l = c + 11; m = a + 8; a = d + 6; w = o + 12; c = o + 16; f = g + 15; s = l + 17; o = 20. Given that o = 20, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"n": "o + 14", "x": "n + 2", "v": "x + 14", "q": "v + 15", "i": "q + 9", "m": "i + 5", "g": "o + 15", "k": "g + 15", "p": "k + 10", "w": "p + 17", "a": "w + 1", "j": "a + 2", "o": 4}, "premises": {"o": 4}, "target": "m"}, "answer": {"steps": [["i", "q + 9", "q + 14"], ["q", "v + 15", "v + 29"], ["v", "x + 14", "x + 43"], ["x", "n + 2", "n + 45"], ["n", "o + 14", "o + 59"], ["o", 4, "63"]], "target_var_name": "m", "target_value": 63, "value_dict": {"o": 4}, "is_reverse": true}} | 8,044 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = g + 15; n = o + 14; j = a + 2; a = w + 1; q = v + 15; x = n + 2; v = x + 14; w = p + 17; i = q + 9; m = i + 5; p = k + 10; o = 4; g = o + 15. If o = 4, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = q + 9 to m, which gives m = q + 14.\n2. Substitute q = v + 15 to m, which gives m = v + 29.\n3. Substitute v = x + 14 to m, which gives m = x + 43.\n4. Substitute x = n + 2 to m, which gives m = n + 45.\n5. Substitute n = o + 14 to m, which gives m = o + 59.\n6. Substitute o = 4 to m, which gives m = 63.\n\nThus, the final answer is m = \\boxed{63}.",
"index": 8044,
"question": "Consider a system of variables where each variable is defined as follows: k = g + 15; n = o + 14; j = a + 2; a = w + 1; q = v + 15; x = n + 2; v = x + 14; w = p + 17; i = q + 9; m = i + 5; p = k + 10; o = 4; g = o + 15. If o = 4, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"l": "q + 1", "c": "l + 12", "j": "c + 8", "m": "j + 1", "o": "m + 19", "n": "o + 2", "a": "q + 20", "i": "a + 12", "z": "i + 10", "x": "z + 20", "r": "x + 5", "b": "r + 3", "q": 15}, "premises": {"q": 15}, "target": "n"}, "answer": {"steps": [["o", "m + 19", "m + 21"], ["m", "j + 1", "j + 22"], ["j", "c + 8", "c + 30"], ["c", "l + 12", "l + 42"], ["l", "q + 1", "q + 43"], ["q", 15, "58"]], "target_var_name": "n", "target_value": 58, "value_dict": {"q": 15}, "is_reverse": true}} | 8,045 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = o + 2; o = m + 19; j = c + 8; x = z + 20; c = l + 12; i = a + 12; a = q + 20; l = q + 1; q = 15; r = x + 5; m = j + 1; b = r + 3; z = i + 10. If q = 15, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = m + 19 to n, which gives n = m + 21.\n2. Substitute m = j + 1 to n, which gives n = j + 22.\n3. Substitute j = c + 8 to n, which gives n = c + 30.\n4. Substitute c = l + 12 to n, which gives n = l + 42.\n5. Substitute l = q + 1 to n, which gives n = q + 43.\n6. Substitute q = 15 to n, which gives n = 58.\n\nThus, the final answer is n = \\boxed{58}.",
"index": 8045,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = o + 2; o = m + 19; j = c + 8; x = z + 20; c = l + 12; i = a + 12; a = q + 20; l = q + 1; q = 15; r = x + 5; m = j + 1; b = r + 3; z = i + 10. If q = 15, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"t": "g + 3", "l": "t + 15", "u": "l + 5", "f": "u + 17", "r": "f + 8", "k": "r + 1", "i": "g + 7", "h": "i + 17", "e": "h + 3", "p": "e + 16", "d": "p + 13", "a": "d + 14", "g": 14}, "premises": {"g": 14}, "target": "k"}, "answer": {"steps": [["r", "f + 8", "f + 9"], ["f", "u + 17", "u + 26"], ["u", "l + 5", "l + 31"], ["l", "t + 15", "t + 46"], ["t", "g + 3", "g + 49"], ["g", 14, "63"]], "target_var_name": "k", "target_value": 63, "value_dict": {"g": 14}, "is_reverse": true}} | 8,046 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = h + 3; r = f + 8; h = i + 17; u = l + 5; f = u + 17; d = p + 13; p = e + 16; l = t + 15; t = g + 3; a = d + 14; i = g + 7; k = r + 1; g = 14. Given that g = 14, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = f + 8 to k, which gives k = f + 9.\n2. Substitute f = u + 17 to k, which gives k = u + 26.\n3. Substitute u = l + 5 to k, which gives k = l + 31.\n4. Substitute l = t + 15 to k, which gives k = t + 46.\n5. Substitute t = g + 3 to k, which gives k = g + 49.\n6. Substitute g = 14 to k, which gives k = 63.\n\nThus, the final answer is k = \\boxed{63}.",
"index": 8046,
"question": "Suppose a collection of variables is related by the following definitions: e = h + 3; r = f + 8; h = i + 17; u = l + 5; f = u + 17; d = p + 13; p = e + 16; l = t + 15; t = g + 3; a = d + 14; i = g + 7; k = r + 1; g = 14. Given that g = 14, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"a": "y + 10", "p": "a + 18", "r": "p + 17", "z": "r + 10", "c": "z + 20", "s": "c + 8", "v": "y + 20", "u": "v + 13", "k": "u + 5", "f": "k + 8", "i": "f + 10", "b": "i + 9", "y": 15}, "premises": {"y": 15}, "target": "s"}, "answer": {"steps": [["c", "z + 20", "z + 28"], ["z", "r + 10", "r + 38"], ["r", "p + 17", "p + 55"], ["p", "a + 18", "a + 73"], ["a", "y + 10", "y + 83"], ["y", 15, "98"]], "target_var_name": "s", "target_value": 98, "value_dict": {"y": 15}, "is_reverse": true}} | 8,047 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = a + 18; s = c + 8; b = i + 9; r = p + 17; c = z + 20; z = r + 10; i = f + 10; a = y + 10; v = y + 20; f = k + 8; y = 15; k = u + 5; u = v + 13. If y = 15, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = z + 20 to s, which gives s = z + 28.\n2. Substitute z = r + 10 to s, which gives s = r + 38.\n3. Substitute r = p + 17 to s, which gives s = p + 55.\n4. Substitute p = a + 18 to s, which gives s = a + 73.\n5. Substitute a = y + 10 to s, which gives s = y + 83.\n6. Substitute y = 15 to s, which gives s = 98.\n\nThus, the final answer is s = \\boxed{98}.",
"index": 8047,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = a + 18; s = c + 8; b = i + 9; r = p + 17; c = z + 20; z = r + 10; i = f + 10; a = y + 10; v = y + 20; f = k + 8; y = 15; k = u + 5; u = v + 13. If y = 15, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"o": "i + 12", "u": "o + 5", "a": "u + 20", "m": "a + 1", "k": "m + 11", "c": "k + 12", "e": "i + 1", "h": "e + 6", "p": "h + 15", "l": "p + 1", "n": "l + 7", "q": "n + 14", "i": 5}, "premises": {"i": 5}, "target": "c"}, "answer": {"steps": [["k", "m + 11", "m + 23"], ["m", "a + 1", "a + 24"], ["a", "u + 20", "u + 44"], ["u", "o + 5", "o + 49"], ["o", "i + 12", "i + 61"], ["i", 5, "66"]], "target_var_name": "c", "target_value": 66, "value_dict": {"i": 5}, "is_reverse": true}} | 8,048 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = i + 12; q = n + 14; p = h + 15; e = i + 1; n = l + 7; u = o + 5; h = e + 6; c = k + 12; l = p + 1; k = m + 11; a = u + 20; m = a + 1; i = 5. If i = 5, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = m + 11 to c, which gives c = m + 23.\n2. Substitute m = a + 1 to c, which gives c = a + 24.\n3. Substitute a = u + 20 to c, which gives c = u + 44.\n4. Substitute u = o + 5 to c, which gives c = o + 49.\n5. Substitute o = i + 12 to c, which gives c = i + 61.\n6. Substitute i = 5 to c, which gives c = 66.\n\nThus, the final answer is c = \\boxed{66}.",
"index": 8048,
"question": "Consider a system of variables where each variable is defined as follows: o = i + 12; q = n + 14; p = h + 15; e = i + 1; n = l + 7; u = o + 5; h = e + 6; c = k + 12; l = p + 1; k = m + 11; a = u + 20; m = a + 1; i = 5. If i = 5, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"f": "a + 1", "j": "f + 3", "b": "j + 2", "g": "b + 3", "z": "g + 12", "o": "z + 18", "i": "a + 12", "x": "i + 18", "q": "x + 11", "v": "q + 15", "p": "v + 2", "l": "p + 14", "a": 12}, "premises": {"a": 12}, "target": "o"}, "answer": {"steps": [["z", "g + 12", "g + 30"], ["g", "b + 3", "b + 33"], ["b", "j + 2", "j + 35"], ["j", "f + 3", "f + 38"], ["f", "a + 1", "a + 39"], ["a", 12, "51"]], "target_var_name": "o", "target_value": 51, "value_dict": {"a": 12}, "is_reverse": true}} | 8,049 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = i + 18; v = q + 15; i = a + 12; a = 12; f = a + 1; z = g + 12; j = f + 3; g = b + 3; b = j + 2; p = v + 2; o = z + 18; l = p + 14; q = x + 11. Given that a = 12, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = g + 12 to o, which gives o = g + 30.\n2. Substitute g = b + 3 to o, which gives o = b + 33.\n3. Substitute b = j + 2 to o, which gives o = j + 35.\n4. Substitute j = f + 3 to o, which gives o = f + 38.\n5. Substitute f = a + 1 to o, which gives o = a + 39.\n6. Substitute a = 12 to o, which gives o = 51.\n\nThus, the final answer is o = \\boxed{51}.",
"index": 8049,
"question": "Suppose a collection of variables is related by the following definitions: x = i + 18; v = q + 15; i = a + 12; a = 12; f = a + 1; z = g + 12; j = f + 3; g = b + 3; b = j + 2; p = v + 2; o = z + 18; l = p + 14; q = x + 11. Given that a = 12, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"c": "e + 6", "g": "c + 15", "y": "g + 12", "x": "y + 2", "m": "x + 4", "f": "m + 16", "i": "e + 8", "k": "i + 15", "v": "k + 16", "s": "v + 19", "o": "s + 19", "t": "o + 17", "e": 4}, "premises": {"e": 4}, "target": "f"}, "answer": {"steps": [["m", "x + 4", "x + 20"], ["x", "y + 2", "y + 22"], ["y", "g + 12", "g + 34"], ["g", "c + 15", "c + 49"], ["c", "e + 6", "e + 55"], ["e", 4, "59"]], "target_var_name": "f", "target_value": 59, "value_dict": {"e": 4}, "is_reverse": true}} | 8,050 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = e + 8; v = k + 16; x = y + 2; e = 4; k = i + 15; y = g + 12; f = m + 16; o = s + 19; t = o + 17; g = c + 15; s = v + 19; c = e + 6; m = x + 4. If e = 4, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = x + 4 to f, which gives f = x + 20.\n2. Substitute x = y + 2 to f, which gives f = y + 22.\n3. Substitute y = g + 12 to f, which gives f = g + 34.\n4. Substitute g = c + 15 to f, which gives f = c + 49.\n5. Substitute c = e + 6 to f, which gives f = e + 55.\n6. Substitute e = 4 to f, which gives f = 59.\n\nThus, the final answer is f = \\boxed{59}.",
"index": 8050,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = e + 8; v = k + 16; x = y + 2; e = 4; k = i + 15; y = g + 12; f = m + 16; o = s + 19; t = o + 17; g = c + 15; s = v + 19; c = e + 6; m = x + 4. If e = 4, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"n": "m + 15", "v": "n + 5", "o": "v + 20", "z": "o + 13", "r": "z + 8", "e": "r + 4", "y": "m + 17", "l": "y + 8", "s": "l + 1", "t": "s + 12", "k": "t + 15", "q": "k + 12", "m": 16}, "premises": {"m": 16}, "target": "e"}, "answer": {"steps": [["r", "z + 8", "z + 12"], ["z", "o + 13", "o + 25"], ["o", "v + 20", "v + 45"], ["v", "n + 5", "n + 50"], ["n", "m + 15", "m + 65"], ["m", 16, "81"]], "target_var_name": "e", "target_value": 81, "value_dict": {"m": 16}, "is_reverse": true}} | 8,051 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = z + 8; e = r + 4; s = l + 1; t = s + 12; l = y + 8; n = m + 15; o = v + 20; y = m + 17; z = o + 13; k = t + 15; v = n + 5; m = 16; q = k + 12. If m = 16, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = z + 8 to e, which gives e = z + 12.\n2. Substitute z = o + 13 to e, which gives e = o + 25.\n3. Substitute o = v + 20 to e, which gives e = v + 45.\n4. Substitute v = n + 5 to e, which gives e = n + 50.\n5. Substitute n = m + 15 to e, which gives e = m + 65.\n6. Substitute m = 16 to e, which gives e = 81.\n\nThus, the final answer is e = \\boxed{81}.",
"index": 8051,
"question": "Consider a system of variables where each variable is defined as follows: r = z + 8; e = r + 4; s = l + 1; t = s + 12; l = y + 8; n = m + 15; o = v + 20; y = m + 17; z = o + 13; k = t + 15; v = n + 5; m = 16; q = k + 12. If m = 16, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"j": "n + 14", "e": "j + 13", "x": "e + 15", "m": "x + 8", "p": "m + 2", "z": "p + 14", "o": "n + 3", "g": "o + 9", "a": "g + 12", "r": "a + 18", "s": "r + 4", "c": "s + 16", "n": 4}, "premises": {"n": 4}, "target": "z"}, "answer": {"steps": [["p", "m + 2", "m + 16"], ["m", "x + 8", "x + 24"], ["x", "e + 15", "e + 39"], ["e", "j + 13", "j + 52"], ["j", "n + 14", "n + 66"], ["n", 4, "70"]], "target_var_name": "z", "target_value": 70, "value_dict": {"n": 4}, "is_reverse": true}} | 8,052 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = e + 15; c = s + 16; o = n + 3; j = n + 14; n = 4; z = p + 14; p = m + 2; r = a + 18; a = g + 12; g = o + 9; m = x + 8; s = r + 4; e = j + 13. Given that n = 4, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = m + 2 to z, which gives z = m + 16.\n2. Substitute m = x + 8 to z, which gives z = x + 24.\n3. Substitute x = e + 15 to z, which gives z = e + 39.\n4. Substitute e = j + 13 to z, which gives z = j + 52.\n5. Substitute j = n + 14 to z, which gives z = n + 66.\n6. Substitute n = 4 to z, which gives z = 70.\n\nThus, the final answer is z = \\boxed{70}.",
"index": 8052,
"question": "Suppose a collection of variables is related by the following definitions: x = e + 15; c = s + 16; o = n + 3; j = n + 14; n = 4; z = p + 14; p = m + 2; r = a + 18; a = g + 12; g = o + 9; m = x + 8; s = r + 4; e = j + 13. Given that n = 4, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"y": "d + 15", "b": "y + 17", "a": "b + 12", "s": "a + 14", "t": "s + 13", "i": "t + 9", "h": "d + 13", "z": "h + 16", "p": "z + 9", "l": "p + 9", "g": "l + 7", "u": "g + 5", "d": 10}, "premises": {"d": 10}, "target": "i"}, "answer": {"steps": [["t", "s + 13", "s + 22"], ["s", "a + 14", "a + 36"], ["a", "b + 12", "b + 48"], ["b", "y + 17", "y + 65"], ["y", "d + 15", "d + 80"], ["d", 10, "90"]], "target_var_name": "i", "target_value": 90, "value_dict": {"d": 10}, "is_reverse": true}} | 8,053 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = g + 5; d = 10; a = b + 12; g = l + 7; l = p + 9; h = d + 13; s = a + 14; p = z + 9; y = d + 15; b = y + 17; z = h + 16; t = s + 13; i = t + 9. Given that d = 10, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = s + 13 to i, which gives i = s + 22.\n2. Substitute s = a + 14 to i, which gives i = a + 36.\n3. Substitute a = b + 12 to i, which gives i = b + 48.\n4. Substitute b = y + 17 to i, which gives i = y + 65.\n5. Substitute y = d + 15 to i, which gives i = d + 80.\n6. Substitute d = 10 to i, which gives i = 90.\n\nThus, the final answer is i = \\boxed{90}.",
"index": 8053,
"question": "Suppose a collection of variables is related by the following definitions: u = g + 5; d = 10; a = b + 12; g = l + 7; l = p + 9; h = d + 13; s = a + 14; p = z + 9; y = d + 15; b = y + 17; z = h + 16; t = s + 13; i = t + 9. Given that d = 10, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"n": "c + 10", "z": "n + 18", "q": "z + 15", "s": "q + 20", "k": "s + 8", "w": "k + 11", "g": "c + 10", "j": "g + 2", "i": "j + 12", "d": "i + 14", "t": "d + 2", "h": "t + 12", "c": 16}, "premises": {"c": 16}, "target": "w"}, "answer": {"steps": [["k", "s + 8", "s + 19"], ["s", "q + 20", "q + 39"], ["q", "z + 15", "z + 54"], ["z", "n + 18", "n + 72"], ["n", "c + 10", "c + 82"], ["c", 16, "98"]], "target_var_name": "w", "target_value": 98, "value_dict": {"c": 16}, "is_reverse": true}} | 8,054 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = g + 2; h = t + 12; t = d + 2; c = 16; i = j + 12; d = i + 14; s = q + 20; w = k + 11; g = c + 10; q = z + 15; z = n + 18; n = c + 10; k = s + 8. If c = 16, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = s + 8 to w, which gives w = s + 19.\n2. Substitute s = q + 20 to w, which gives w = q + 39.\n3. Substitute q = z + 15 to w, which gives w = z + 54.\n4. Substitute z = n + 18 to w, which gives w = n + 72.\n5. Substitute n = c + 10 to w, which gives w = c + 82.\n6. Substitute c = 16 to w, which gives w = 98.\n\nThus, the final answer is w = \\boxed{98}.",
"index": 8054,
"question": "Consider a system of variables where each variable is defined as follows: j = g + 2; h = t + 12; t = d + 2; c = 16; i = j + 12; d = i + 14; s = q + 20; w = k + 11; g = c + 10; q = z + 15; z = n + 18; n = c + 10; k = s + 8. If c = 16, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"g": "f + 3", "c": "g + 13", "e": "c + 13", "z": "e + 1", "r": "z + 3", "u": "r + 15", "w": "f + 4", "v": "w + 4", "i": "v + 11", "s": "i + 19", "t": "s + 19", "o": "t + 14", "f": 7}, "premises": {"f": 7}, "target": "u"}, "answer": {"steps": [["r", "z + 3", "z + 18"], ["z", "e + 1", "e + 19"], ["e", "c + 13", "c + 32"], ["c", "g + 13", "g + 45"], ["g", "f + 3", "f + 48"], ["f", 7, "55"]], "target_var_name": "u", "target_value": 55, "value_dict": {"f": 7}, "is_reverse": true}} | 8,055 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = s + 19; e = c + 13; z = e + 1; r = z + 3; u = r + 15; o = t + 14; w = f + 4; s = i + 19; v = w + 4; g = f + 3; c = g + 13; f = 7; i = v + 11. Given that f = 7, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = z + 3 to u, which gives u = z + 18.\n2. Substitute z = e + 1 to u, which gives u = e + 19.\n3. Substitute e = c + 13 to u, which gives u = c + 32.\n4. Substitute c = g + 13 to u, which gives u = g + 45.\n5. Substitute g = f + 3 to u, which gives u = f + 48.\n6. Substitute f = 7 to u, which gives u = 55.\n\nThus, the final answer is u = \\boxed{55}.",
"index": 8055,
"question": "Suppose a collection of variables is related by the following definitions: t = s + 19; e = c + 13; z = e + 1; r = z + 3; u = r + 15; o = t + 14; w = f + 4; s = i + 19; v = w + 4; g = f + 3; c = g + 13; f = 7; i = v + 11. Given that f = 7, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"j": "h + 7", "u": "j + 11", "l": "u + 12", "y": "l + 20", "e": "y + 14", "g": "e + 4", "x": "h + 5", "z": "x + 17", "c": "z + 10", "n": "c + 12", "v": "n + 3", "m": "v + 13", "h": 9}, "premises": {"h": 9}, "target": "g"}, "answer": {"steps": [["e", "y + 14", "y + 18"], ["y", "l + 20", "l + 38"], ["l", "u + 12", "u + 50"], ["u", "j + 11", "j + 61"], ["j", "h + 7", "h + 68"], ["h", 9, "77"]], "target_var_name": "g", "target_value": 77, "value_dict": {"h": 9}, "is_reverse": true}} | 8,056 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = j + 11; z = x + 17; j = h + 7; h = 9; v = n + 3; n = c + 12; e = y + 14; l = u + 12; y = l + 20; c = z + 10; g = e + 4; x = h + 5; m = v + 13. Given that h = 9, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = y + 14 to g, which gives g = y + 18.\n2. Substitute y = l + 20 to g, which gives g = l + 38.\n3. Substitute l = u + 12 to g, which gives g = u + 50.\n4. Substitute u = j + 11 to g, which gives g = j + 61.\n5. Substitute j = h + 7 to g, which gives g = h + 68.\n6. Substitute h = 9 to g, which gives g = 77.\n\nThus, the final answer is g = \\boxed{77}.",
"index": 8056,
"question": "Suppose a collection of variables is related by the following definitions: u = j + 11; z = x + 17; j = h + 7; h = 9; v = n + 3; n = c + 12; e = y + 14; l = u + 12; y = l + 20; c = z + 10; g = e + 4; x = h + 5; m = v + 13. Given that h = 9, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"e": "q + 13", "x": "e + 8", "d": "x + 6", "g": "d + 17", "o": "g + 11", "t": "o + 12", "s": "q + 18", "r": "s + 7", "c": "r + 10", "n": "c + 16", "i": "n + 4", "j": "i + 2", "q": 15}, "premises": {"q": 15}, "target": "t"}, "answer": {"steps": [["o", "g + 11", "g + 23"], ["g", "d + 17", "d + 40"], ["d", "x + 6", "x + 46"], ["x", "e + 8", "e + 54"], ["e", "q + 13", "q + 67"], ["q", 15, "82"]], "target_var_name": "t", "target_value": 82, "value_dict": {"q": 15}, "is_reverse": true}} | 8,057 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = s + 7; x = e + 8; g = d + 17; i = n + 4; q = 15; t = o + 12; s = q + 18; n = c + 16; j = i + 2; d = x + 6; e = q + 13; c = r + 10; o = g + 11. Given that q = 15, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = g + 11 to t, which gives t = g + 23.\n2. Substitute g = d + 17 to t, which gives t = d + 40.\n3. Substitute d = x + 6 to t, which gives t = x + 46.\n4. Substitute x = e + 8 to t, which gives t = e + 54.\n5. Substitute e = q + 13 to t, which gives t = q + 67.\n6. Substitute q = 15 to t, which gives t = 82.\n\nThus, the final answer is t = \\boxed{82}.",
"index": 8057,
"question": "Suppose a collection of variables is related by the following definitions: r = s + 7; x = e + 8; g = d + 17; i = n + 4; q = 15; t = o + 12; s = q + 18; n = c + 16; j = i + 2; d = x + 6; e = q + 13; c = r + 10; o = g + 11. Given that q = 15, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"v": "n + 14", "d": "v + 4", "i": "d + 12", "m": "i + 7", "t": "m + 12", "b": "t + 19", "e": "n + 17", "s": "e + 20", "r": "s + 5", "k": "r + 17", "w": "k + 17", "z": "w + 7", "n": 15}, "premises": {"n": 15}, "target": "b"}, "answer": {"steps": [["t", "m + 12", "m + 31"], ["m", "i + 7", "i + 38"], ["i", "d + 12", "d + 50"], ["d", "v + 4", "v + 54"], ["v", "n + 14", "n + 68"], ["n", 15, "83"]], "target_var_name": "b", "target_value": 83, "value_dict": {"n": 15}, "is_reverse": true}} | 8,058 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = s + 5; m = i + 7; i = d + 12; b = t + 19; z = w + 7; s = e + 20; v = n + 14; k = r + 17; d = v + 4; e = n + 17; n = 15; t = m + 12; w = k + 17. If n = 15, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = m + 12 to b, which gives b = m + 31.\n2. Substitute m = i + 7 to b, which gives b = i + 38.\n3. Substitute i = d + 12 to b, which gives b = d + 50.\n4. Substitute d = v + 4 to b, which gives b = v + 54.\n5. Substitute v = n + 14 to b, which gives b = n + 68.\n6. Substitute n = 15 to b, which gives b = 83.\n\nThus, the final answer is b = \\boxed{83}.",
"index": 8058,
"question": "Consider a system of variables where each variable is defined as follows: r = s + 5; m = i + 7; i = d + 12; b = t + 19; z = w + 7; s = e + 20; v = n + 14; k = r + 17; d = v + 4; e = n + 17; n = 15; t = m + 12; w = k + 17. If n = 15, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"q": "o + 16", "l": "q + 4", "i": "l + 15", "h": "i + 2", "j": "h + 13", "u": "j + 4", "p": "o + 5", "e": "p + 13", "y": "e + 5", "r": "y + 7", "a": "r + 12", "b": "a + 10", "o": 10}, "premises": {"o": 10}, "target": "u"}, "answer": {"steps": [["j", "h + 13", "h + 17"], ["h", "i + 2", "i + 19"], ["i", "l + 15", "l + 34"], ["l", "q + 4", "q + 38"], ["q", "o + 16", "o + 54"], ["o", 10, "64"]], "target_var_name": "u", "target_value": 64, "value_dict": {"o": 10}, "is_reverse": true}} | 8,059 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = a + 10; l = q + 4; p = o + 5; r = y + 7; u = j + 4; y = e + 5; a = r + 12; o = 10; e = p + 13; q = o + 16; j = h + 13; i = l + 15; h = i + 2. If o = 10, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = h + 13 to u, which gives u = h + 17.\n2. Substitute h = i + 2 to u, which gives u = i + 19.\n3. Substitute i = l + 15 to u, which gives u = l + 34.\n4. Substitute l = q + 4 to u, which gives u = q + 38.\n5. Substitute q = o + 16 to u, which gives u = o + 54.\n6. Substitute o = 10 to u, which gives u = 64.\n\nThus, the final answer is u = \\boxed{64}.",
"index": 8059,
"question": "Consider a system of variables where each variable is defined as follows: b = a + 10; l = q + 4; p = o + 5; r = y + 7; u = j + 4; y = e + 5; a = r + 12; o = 10; e = p + 13; q = o + 16; j = h + 13; i = l + 15; h = i + 2. If o = 10, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"u": "h + 15", "t": "u + 2", "c": "t + 12", "e": "c + 17", "d": "e + 16", "m": "d + 15", "z": "h + 17", "w": "z + 11", "p": "w + 8", "o": "p + 2", "s": "o + 6", "x": "s + 19", "h": 20}, "premises": {"h": 20}, "target": "m"}, "answer": {"steps": [["d", "e + 16", "e + 31"], ["e", "c + 17", "c + 48"], ["c", "t + 12", "t + 60"], ["t", "u + 2", "u + 62"], ["u", "h + 15", "h + 77"], ["h", 20, "97"]], "target_var_name": "m", "target_value": 97, "value_dict": {"h": 20}, "is_reverse": true}} | 8,060 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = d + 15; d = e + 16; p = w + 8; t = u + 2; c = t + 12; u = h + 15; w = z + 11; e = c + 17; h = 20; s = o + 6; z = h + 17; x = s + 19; o = p + 2. If h = 20, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = e + 16 to m, which gives m = e + 31.\n2. Substitute e = c + 17 to m, which gives m = c + 48.\n3. Substitute c = t + 12 to m, which gives m = t + 60.\n4. Substitute t = u + 2 to m, which gives m = u + 62.\n5. Substitute u = h + 15 to m, which gives m = h + 77.\n6. Substitute h = 20 to m, which gives m = 97.\n\nThus, the final answer is m = \\boxed{97}.",
"index": 8060,
"question": "Consider a system of variables where each variable is defined as follows: m = d + 15; d = e + 16; p = w + 8; t = u + 2; c = t + 12; u = h + 15; w = z + 11; e = c + 17; h = 20; s = o + 6; z = h + 17; x = s + 19; o = p + 2. If h = 20, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"y": "p + 8", "t": "y + 16", "q": "t + 13", "m": "q + 6", "x": "m + 3", "r": "x + 11", "u": "p + 12", "k": "u + 7", "c": "k + 12", "w": "c + 12", "h": "w + 15", "b": "h + 19", "p": 15}, "premises": {"p": 15}, "target": "r"}, "answer": {"steps": [["x", "m + 3", "m + 14"], ["m", "q + 6", "q + 20"], ["q", "t + 13", "t + 33"], ["t", "y + 16", "y + 49"], ["y", "p + 8", "p + 57"], ["p", 15, "72"]], "target_var_name": "r", "target_value": 72, "value_dict": {"p": 15}, "is_reverse": true}} | 8,061 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = t + 13; y = p + 8; u = p + 12; k = u + 7; x = m + 3; c = k + 12; h = w + 15; p = 15; t = y + 16; w = c + 12; r = x + 11; m = q + 6; b = h + 19. If p = 15, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = m + 3 to r, which gives r = m + 14.\n2. Substitute m = q + 6 to r, which gives r = q + 20.\n3. Substitute q = t + 13 to r, which gives r = t + 33.\n4. Substitute t = y + 16 to r, which gives r = y + 49.\n5. Substitute y = p + 8 to r, which gives r = p + 57.\n6. Substitute p = 15 to r, which gives r = 72.\n\nThus, the final answer is r = \\boxed{72}.",
"index": 8061,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = t + 13; y = p + 8; u = p + 12; k = u + 7; x = m + 3; c = k + 12; h = w + 15; p = 15; t = y + 16; w = c + 12; r = x + 11; m = q + 6; b = h + 19. If p = 15, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"p": "g + 13", "f": "p + 20", "m": "f + 5", "z": "m + 18", "x": "z + 7", "e": "x + 12", "d": "g + 10", "v": "d + 19", "s": "v + 12", "i": "s + 11", "l": "i + 4", "k": "l + 18", "g": 16}, "premises": {"g": 16}, "target": "e"}, "answer": {"steps": [["x", "z + 7", "z + 19"], ["z", "m + 18", "m + 37"], ["m", "f + 5", "f + 42"], ["f", "p + 20", "p + 62"], ["p", "g + 13", "g + 75"], ["g", 16, "91"]], "target_var_name": "e", "target_value": 91, "value_dict": {"g": 16}, "is_reverse": true}} | 8,062 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = g + 13; e = x + 12; s = v + 12; g = 16; f = p + 20; z = m + 18; v = d + 19; i = s + 11; k = l + 18; m = f + 5; d = g + 10; x = z + 7; l = i + 4. If g = 16, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = z + 7 to e, which gives e = z + 19.\n2. Substitute z = m + 18 to e, which gives e = m + 37.\n3. Substitute m = f + 5 to e, which gives e = f + 42.\n4. Substitute f = p + 20 to e, which gives e = p + 62.\n5. Substitute p = g + 13 to e, which gives e = g + 75.\n6. Substitute g = 16 to e, which gives e = 91.\n\nThus, the final answer is e = \\boxed{91}.",
"index": 8062,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = g + 13; e = x + 12; s = v + 12; g = 16; f = p + 20; z = m + 18; v = d + 19; i = s + 11; k = l + 18; m = f + 5; d = g + 10; x = z + 7; l = i + 4. If g = 16, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"o": "c + 14", "b": "o + 4", "p": "b + 8", "w": "p + 13", "r": "w + 4", "x": "r + 4", "e": "c + 3", "g": "e + 6", "s": "g + 20", "j": "s + 1", "k": "j + 2", "d": "k + 12", "c": 2}, "premises": {"c": 2}, "target": "x"}, "answer": {"steps": [["r", "w + 4", "w + 8"], ["w", "p + 13", "p + 21"], ["p", "b + 8", "b + 29"], ["b", "o + 4", "o + 33"], ["o", "c + 14", "c + 47"], ["c", 2, "49"]], "target_var_name": "x", "target_value": 49, "value_dict": {"c": 2}, "is_reverse": true}} | 8,063 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = r + 4; c = 2; o = c + 14; s = g + 20; e = c + 3; k = j + 2; w = p + 13; b = o + 4; j = s + 1; g = e + 6; d = k + 12; r = w + 4; p = b + 8. If c = 2, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = w + 4 to x, which gives x = w + 8.\n2. Substitute w = p + 13 to x, which gives x = p + 21.\n3. Substitute p = b + 8 to x, which gives x = b + 29.\n4. Substitute b = o + 4 to x, which gives x = o + 33.\n5. Substitute o = c + 14 to x, which gives x = c + 47.\n6. Substitute c = 2 to x, which gives x = 49.\n\nThus, the final answer is x = \\boxed{49}.",
"index": 8063,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = r + 4; c = 2; o = c + 14; s = g + 20; e = c + 3; k = j + 2; w = p + 13; b = o + 4; j = s + 1; g = e + 6; d = k + 12; r = w + 4; p = b + 8. If c = 2, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"r": "i + 16", "b": "r + 16", "c": "b + 9", "l": "c + 4", "w": "l + 20", "y": "w + 5", "q": "i + 13", "t": "q + 1", "x": "t + 12", "j": "x + 1", "z": "j + 4", "m": "z + 12", "i": 11}, "premises": {"i": 11}, "target": "y"}, "answer": {"steps": [["w", "l + 20", "l + 25"], ["l", "c + 4", "c + 29"], ["c", "b + 9", "b + 38"], ["b", "r + 16", "r + 54"], ["r", "i + 16", "i + 70"], ["i", 11, "81"]], "target_var_name": "y", "target_value": 81, "value_dict": {"i": 11}, "is_reverse": true}} | 8,064 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = c + 4; c = b + 9; b = r + 16; j = x + 1; t = q + 1; q = i + 13; x = t + 12; z = j + 4; w = l + 20; i = 11; r = i + 16; m = z + 12; y = w + 5. Given that i = 11, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = l + 20 to y, which gives y = l + 25.\n2. Substitute l = c + 4 to y, which gives y = c + 29.\n3. Substitute c = b + 9 to y, which gives y = b + 38.\n4. Substitute b = r + 16 to y, which gives y = r + 54.\n5. Substitute r = i + 16 to y, which gives y = i + 70.\n6. Substitute i = 11 to y, which gives y = 81.\n\nThus, the final answer is y = \\boxed{81}.",
"index": 8064,
"question": "Suppose a collection of variables is related by the following definitions: l = c + 4; c = b + 9; b = r + 16; j = x + 1; t = q + 1; q = i + 13; x = t + 12; z = j + 4; w = l + 20; i = 11; r = i + 16; m = z + 12; y = w + 5. Given that i = 11, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"w": "a + 1", "l": "w + 18", "e": "l + 11", "h": "e + 19", "z": "h + 20", "f": "z + 20", "c": "a + 9", "i": "c + 10", "v": "i + 18", "x": "v + 14", "k": "x + 2", "d": "k + 2", "a": 13}, "premises": {"a": 13}, "target": "f"}, "answer": {"steps": [["z", "h + 20", "h + 40"], ["h", "e + 19", "e + 59"], ["e", "l + 11", "l + 70"], ["l", "w + 18", "w + 88"], ["w", "a + 1", "a + 89"], ["a", 13, "102"]], "target_var_name": "f", "target_value": 102, "value_dict": {"a": 13}, "is_reverse": true}} | 8,065 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = w + 18; f = z + 20; z = h + 20; h = e + 19; e = l + 11; v = i + 18; c = a + 9; a = 13; x = v + 14; d = k + 2; k = x + 2; i = c + 10; w = a + 1. If a = 13, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 102,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = h + 20 to f, which gives f = h + 40.\n2. Substitute h = e + 19 to f, which gives f = e + 59.\n3. Substitute e = l + 11 to f, which gives f = l + 70.\n4. Substitute l = w + 18 to f, which gives f = w + 88.\n5. Substitute w = a + 1 to f, which gives f = a + 89.\n6. Substitute a = 13 to f, which gives f = 102.\n\nThus, the final answer is f = \\boxed{102}.",
"index": 8065,
"question": "Consider a system of variables where each variable is defined as follows: l = w + 18; f = z + 20; z = h + 20; h = e + 19; e = l + 11; v = i + 18; c = a + 9; a = 13; x = v + 14; d = k + 2; k = x + 2; i = c + 10; w = a + 1. If a = 13, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"m": "e + 3", "u": "m + 12", "j": "u + 20", "d": "j + 13", "z": "d + 18", "q": "z + 4", "t": "e + 7", "w": "t + 4", "b": "w + 20", "r": "b + 20", "c": "r + 19", "y": "c + 9", "e": 2}, "premises": {"e": 2}, "target": "q"}, "answer": {"steps": [["z", "d + 18", "d + 22"], ["d", "j + 13", "j + 35"], ["j", "u + 20", "u + 55"], ["u", "m + 12", "m + 67"], ["m", "e + 3", "e + 70"], ["e", 2, "72"]], "target_var_name": "q", "target_value": 72, "value_dict": {"e": 2}, "is_reverse": true}} | 8,066 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = r + 19; b = w + 20; q = z + 4; w = t + 4; y = c + 9; z = d + 18; e = 2; m = e + 3; r = b + 20; d = j + 13; t = e + 7; u = m + 12; j = u + 20. Given that e = 2, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = d + 18 to q, which gives q = d + 22.\n2. Substitute d = j + 13 to q, which gives q = j + 35.\n3. Substitute j = u + 20 to q, which gives q = u + 55.\n4. Substitute u = m + 12 to q, which gives q = m + 67.\n5. Substitute m = e + 3 to q, which gives q = e + 70.\n6. Substitute e = 2 to q, which gives q = 72.\n\nThus, the final answer is q = \\boxed{72}.",
"index": 8066,
"question": "Suppose a collection of variables is related by the following definitions: c = r + 19; b = w + 20; q = z + 4; w = t + 4; y = c + 9; z = d + 18; e = 2; m = e + 3; r = b + 20; d = j + 13; t = e + 7; u = m + 12; j = u + 20. Given that e = 2, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"y": "g + 8", "s": "y + 4", "l": "s + 19", "d": "l + 13", "b": "d + 3", "x": "b + 10", "k": "g + 12", "c": "k + 16", "m": "c + 19", "q": "m + 17", "w": "q + 12", "r": "w + 1", "g": 11}, "premises": {"g": 11}, "target": "x"}, "answer": {"steps": [["b", "d + 3", "d + 13"], ["d", "l + 13", "l + 26"], ["l", "s + 19", "s + 45"], ["s", "y + 4", "y + 49"], ["y", "g + 8", "g + 57"], ["g", 11, "68"]], "target_var_name": "x", "target_value": 68, "value_dict": {"g": 11}, "is_reverse": true}} | 8,067 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = k + 16; r = w + 1; y = g + 8; q = m + 17; w = q + 12; d = l + 13; m = c + 19; g = 11; s = y + 4; x = b + 10; b = d + 3; l = s + 19; k = g + 12. If g = 11, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = d + 3 to x, which gives x = d + 13.\n2. Substitute d = l + 13 to x, which gives x = l + 26.\n3. Substitute l = s + 19 to x, which gives x = s + 45.\n4. Substitute s = y + 4 to x, which gives x = y + 49.\n5. Substitute y = g + 8 to x, which gives x = g + 57.\n6. Substitute g = 11 to x, which gives x = 68.\n\nThus, the final answer is x = \\boxed{68}.",
"index": 8067,
"question": "Consider a system of variables where each variable is defined as follows: c = k + 16; r = w + 1; y = g + 8; q = m + 17; w = q + 12; d = l + 13; m = c + 19; g = 11; s = y + 4; x = b + 10; b = d + 3; l = s + 19; k = g + 12. If g = 11, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"s": "c + 7", "h": "s + 1", "u": "h + 9", "o": "u + 5", "i": "o + 13", "k": "i + 11", "n": "c + 2", "q": "n + 10", "l": "q + 16", "g": "l + 1", "y": "g + 13", "x": "y + 3", "c": 6}, "premises": {"c": 6}, "target": "k"}, "answer": {"steps": [["i", "o + 13", "o + 24"], ["o", "u + 5", "u + 29"], ["u", "h + 9", "h + 38"], ["h", "s + 1", "s + 39"], ["s", "c + 7", "c + 46"], ["c", 6, "52"]], "target_var_name": "k", "target_value": 52, "value_dict": {"c": 6}, "is_reverse": true}} | 8,068 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = s + 1; c = 6; u = h + 9; l = q + 16; q = n + 10; s = c + 7; y = g + 13; x = y + 3; g = l + 1; n = c + 2; o = u + 5; i = o + 13; k = i + 11. If c = 6, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = o + 13 to k, which gives k = o + 24.\n2. Substitute o = u + 5 to k, which gives k = u + 29.\n3. Substitute u = h + 9 to k, which gives k = h + 38.\n4. Substitute h = s + 1 to k, which gives k = s + 39.\n5. Substitute s = c + 7 to k, which gives k = c + 46.\n6. Substitute c = 6 to k, which gives k = 52.\n\nThus, the final answer is k = \\boxed{52}.",
"index": 8068,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = s + 1; c = 6; u = h + 9; l = q + 16; q = n + 10; s = c + 7; y = g + 13; x = y + 3; g = l + 1; n = c + 2; o = u + 5; i = o + 13; k = i + 11. If c = 6, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"d": "z + 12", "k": "d + 7", "h": "k + 2", "p": "h + 11", "m": "p + 6", "v": "m + 13", "a": "z + 17", "i": "a + 18", "j": "i + 4", "o": "j + 14", "n": "o + 14", "x": "n + 4", "z": 11}, "premises": {"z": 11}, "target": "v"}, "answer": {"steps": [["m", "p + 6", "p + 19"], ["p", "h + 11", "h + 30"], ["h", "k + 2", "k + 32"], ["k", "d + 7", "d + 39"], ["d", "z + 12", "z + 51"], ["z", 11, "62"]], "target_var_name": "v", "target_value": 62, "value_dict": {"z": 11}, "is_reverse": true}} | 8,069 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = o + 14; h = k + 2; v = m + 13; k = d + 7; z = 11; d = z + 12; m = p + 6; a = z + 17; i = a + 18; o = j + 14; j = i + 4; p = h + 11; x = n + 4. Given that z = 11, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = p + 6 to v, which gives v = p + 19.\n2. Substitute p = h + 11 to v, which gives v = h + 30.\n3. Substitute h = k + 2 to v, which gives v = k + 32.\n4. Substitute k = d + 7 to v, which gives v = d + 39.\n5. Substitute d = z + 12 to v, which gives v = z + 51.\n6. Substitute z = 11 to v, which gives v = 62.\n\nThus, the final answer is v = \\boxed{62}.",
"index": 8069,
"question": "Suppose a collection of variables is related by the following definitions: n = o + 14; h = k + 2; v = m + 13; k = d + 7; z = 11; d = z + 12; m = p + 6; a = z + 17; i = a + 18; o = j + 14; j = i + 4; p = h + 11; x = n + 4. Given that z = 11, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"c": "e + 7", "u": "c + 4", "x": "u + 10", "q": "x + 1", "b": "q + 5", "o": "b + 11", "w": "e + 9", "z": "w + 2", "m": "z + 3", "g": "m + 11", "l": "g + 8", "d": "l + 13", "e": 19}, "premises": {"e": 19}, "target": "o"}, "answer": {"steps": [["b", "q + 5", "q + 16"], ["q", "x + 1", "x + 17"], ["x", "u + 10", "u + 27"], ["u", "c + 4", "c + 31"], ["c", "e + 7", "e + 38"], ["e", 19, "57"]], "target_var_name": "o", "target_value": 57, "value_dict": {"e": 19}, "is_reverse": true}} | 8,070 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = m + 11; w = e + 9; c = e + 7; e = 19; o = b + 11; l = g + 8; b = q + 5; x = u + 10; q = x + 1; z = w + 2; d = l + 13; m = z + 3; u = c + 4. If e = 19, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = q + 5 to o, which gives o = q + 16.\n2. Substitute q = x + 1 to o, which gives o = x + 17.\n3. Substitute x = u + 10 to o, which gives o = u + 27.\n4. Substitute u = c + 4 to o, which gives o = c + 31.\n5. Substitute c = e + 7 to o, which gives o = e + 38.\n6. Substitute e = 19 to o, which gives o = 57.\n\nThus, the final answer is o = \\boxed{57}.",
"index": 8070,
"question": "Consider a system of variables where each variable is defined as follows: g = m + 11; w = e + 9; c = e + 7; e = 19; o = b + 11; l = g + 8; b = q + 5; x = u + 10; q = x + 1; z = w + 2; d = l + 13; m = z + 3; u = c + 4. If e = 19, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"d": "r + 6", "y": "d + 8", "x": "y + 7", "q": "x + 6", "h": "q + 2", "o": "h + 8", "u": "r + 1", "b": "u + 19", "a": "b + 9", "k": "a + 6", "n": "k + 13", "v": "n + 6", "r": 4}, "premises": {"r": 4}, "target": "o"}, "answer": {"steps": [["h", "q + 2", "q + 10"], ["q", "x + 6", "x + 16"], ["x", "y + 7", "y + 23"], ["y", "d + 8", "d + 31"], ["d", "r + 6", "r + 37"], ["r", 4, "41"]], "target_var_name": "o", "target_value": 41, "value_dict": {"r": 4}, "is_reverse": true}} | 8,071 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = u + 19; h = q + 2; o = h + 8; u = r + 1; q = x + 6; y = d + 8; n = k + 13; a = b + 9; x = y + 7; r = 4; d = r + 6; k = a + 6; v = n + 6. If r = 4, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 41,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = q + 2 to o, which gives o = q + 10.\n2. Substitute q = x + 6 to o, which gives o = x + 16.\n3. Substitute x = y + 7 to o, which gives o = y + 23.\n4. Substitute y = d + 8 to o, which gives o = d + 31.\n5. Substitute d = r + 6 to o, which gives o = r + 37.\n6. Substitute r = 4 to o, which gives o = 41.\n\nThus, the final answer is o = \\boxed{41}.",
"index": 8071,
"question": "Consider a system of variables where each variable is defined as follows: b = u + 19; h = q + 2; o = h + 8; u = r + 1; q = x + 6; y = d + 8; n = k + 13; a = b + 9; x = y + 7; r = 4; d = r + 6; k = a + 6; v = n + 6. If r = 4, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"l": "q + 16", "w": "l + 16", "d": "w + 19", "k": "d + 4", "i": "k + 10", "o": "i + 9", "n": "q + 8", "a": "n + 1", "z": "a + 4", "s": "z + 17", "h": "s + 14", "r": "h + 19", "q": 10}, "premises": {"q": 10}, "target": "o"}, "answer": {"steps": [["i", "k + 10", "k + 19"], ["k", "d + 4", "d + 23"], ["d", "w + 19", "w + 42"], ["w", "l + 16", "l + 58"], ["l", "q + 16", "q + 74"], ["q", 10, "84"]], "target_var_name": "o", "target_value": 84, "value_dict": {"q": 10}, "is_reverse": true}} | 8,072 | 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 = s + 14; z = a + 4; i = k + 10; r = h + 19; s = z + 17; d = w + 19; l = q + 16; w = l + 16; o = i + 9; n = q + 8; q = 10; k = d + 4; a = n + 1. If q = 10, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = k + 10 to o, which gives o = k + 19.\n2. Substitute k = d + 4 to o, which gives o = d + 23.\n3. Substitute d = w + 19 to o, which gives o = w + 42.\n4. Substitute w = l + 16 to o, which gives o = l + 58.\n5. Substitute l = q + 16 to o, which gives o = q + 74.\n6. Substitute q = 10 to o, which gives o = 84.\n\nThus, the final answer is o = \\boxed{84}.",
"index": 8072,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = s + 14; z = a + 4; i = k + 10; r = h + 19; s = z + 17; d = w + 19; l = q + 16; w = l + 16; o = i + 9; n = q + 8; q = 10; k = d + 4; a = n + 1. If q = 10, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"d": "a + 5", "r": "d + 15", "b": "r + 6", "l": "b + 15", "k": "l + 2", "o": "k + 11", "m": "a + 17", "g": "m + 2", "w": "g + 15", "n": "w + 10", "v": "n + 6", "y": "v + 2", "a": 3}, "premises": {"a": 3}, "target": "o"}, "answer": {"steps": [["k", "l + 2", "l + 13"], ["l", "b + 15", "b + 28"], ["b", "r + 6", "r + 34"], ["r", "d + 15", "d + 49"], ["d", "a + 5", "a + 54"], ["a", 3, "57"]], "target_var_name": "o", "target_value": 57, "value_dict": {"a": 3}, "is_reverse": true}} | 8,073 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = n + 6; b = r + 6; m = a + 17; l = b + 15; y = v + 2; a = 3; w = g + 15; r = d + 15; d = a + 5; n = w + 10; g = m + 2; k = l + 2; o = k + 11. If a = 3, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = l + 2 to o, which gives o = l + 13.\n2. Substitute l = b + 15 to o, which gives o = b + 28.\n3. Substitute b = r + 6 to o, which gives o = r + 34.\n4. Substitute r = d + 15 to o, which gives o = d + 49.\n5. Substitute d = a + 5 to o, which gives o = a + 54.\n6. Substitute a = 3 to o, which gives o = 57.\n\nThus, the final answer is o = \\boxed{57}.",
"index": 8073,
"question": "Consider a system of variables where each variable is defined as follows: v = n + 6; b = r + 6; m = a + 17; l = b + 15; y = v + 2; a = 3; w = g + 15; r = d + 15; d = a + 5; n = w + 10; g = m + 2; k = l + 2; o = k + 11. If a = 3, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"w": "j + 3", "a": "w + 4", "r": "a + 15", "x": "r + 5", "u": "x + 16", "g": "u + 15", "s": "j + 9", "y": "s + 13", "f": "y + 8", "t": "f + 14", "l": "t + 18", "p": "l + 7", "j": 14}, "premises": {"j": 14}, "target": "g"}, "answer": {"steps": [["u", "x + 16", "x + 31"], ["x", "r + 5", "r + 36"], ["r", "a + 15", "a + 51"], ["a", "w + 4", "w + 55"], ["w", "j + 3", "j + 58"], ["j", 14, "72"]], "target_var_name": "g", "target_value": 72, "value_dict": {"j": 14}, "is_reverse": true}} | 8,074 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = u + 15; r = a + 15; u = x + 16; p = l + 7; s = j + 9; w = j + 3; t = f + 14; f = y + 8; y = s + 13; a = w + 4; x = r + 5; j = 14; l = t + 18. Given that j = 14, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = x + 16 to g, which gives g = x + 31.\n2. Substitute x = r + 5 to g, which gives g = r + 36.\n3. Substitute r = a + 15 to g, which gives g = a + 51.\n4. Substitute a = w + 4 to g, which gives g = w + 55.\n5. Substitute w = j + 3 to g, which gives g = j + 58.\n6. Substitute j = 14 to g, which gives g = 72.\n\nThus, the final answer is g = \\boxed{72}.",
"index": 8074,
"question": "Suppose a collection of variables is related by the following definitions: g = u + 15; r = a + 15; u = x + 16; p = l + 7; s = j + 9; w = j + 3; t = f + 14; f = y + 8; y = s + 13; a = w + 4; x = r + 5; j = 14; l = t + 18. Given that j = 14, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"w": "y + 11", "f": "w + 7", "o": "f + 8", "p": "o + 12", "i": "p + 1", "x": "i + 7", "q": "y + 2", "h": "q + 17", "r": "h + 2", "u": "r + 1", "g": "u + 1", "s": "g + 8", "y": 5}, "premises": {"y": 5}, "target": "x"}, "answer": {"steps": [["i", "p + 1", "p + 8"], ["p", "o + 12", "o + 20"], ["o", "f + 8", "f + 28"], ["f", "w + 7", "w + 35"], ["w", "y + 11", "y + 46"], ["y", 5, "51"]], "target_var_name": "x", "target_value": 51, "value_dict": {"y": 5}, "is_reverse": true}} | 8,075 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = h + 2; g = u + 1; x = i + 7; o = f + 8; u = r + 1; p = o + 12; w = y + 11; y = 5; f = w + 7; h = q + 17; i = p + 1; s = g + 8; q = y + 2. If y = 5, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = p + 1 to x, which gives x = p + 8.\n2. Substitute p = o + 12 to x, which gives x = o + 20.\n3. Substitute o = f + 8 to x, which gives x = f + 28.\n4. Substitute f = w + 7 to x, which gives x = w + 35.\n5. Substitute w = y + 11 to x, which gives x = y + 46.\n6. Substitute y = 5 to x, which gives x = 51.\n\nThus, the final answer is x = \\boxed{51}.",
"index": 8075,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = h + 2; g = u + 1; x = i + 7; o = f + 8; u = r + 1; p = o + 12; w = y + 11; y = 5; f = w + 7; h = q + 17; i = p + 1; s = g + 8; q = y + 2. If y = 5, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"z": "c + 6", "t": "z + 14", "o": "t + 17", "u": "o + 8", "w": "u + 5", "f": "w + 14", "k": "c + 1", "g": "k + 18", "n": "g + 7", "m": "n + 14", "h": "m + 16", "i": "h + 19", "c": 13}, "premises": {"c": 13}, "target": "f"}, "answer": {"steps": [["w", "u + 5", "u + 19"], ["u", "o + 8", "o + 27"], ["o", "t + 17", "t + 44"], ["t", "z + 14", "z + 58"], ["z", "c + 6", "c + 64"], ["c", 13, "77"]], "target_var_name": "f", "target_value": 77, "value_dict": {"c": 13}, "is_reverse": true}} | 8,076 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = m + 16; k = c + 1; f = w + 14; c = 13; t = z + 14; g = k + 18; m = n + 14; o = t + 17; u = o + 8; i = h + 19; w = u + 5; n = g + 7; z = c + 6. Given that c = 13, find 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 w = u + 5 to f, which gives f = u + 19.\n2. Substitute u = o + 8 to f, which gives f = o + 27.\n3. Substitute o = t + 17 to f, which gives f = t + 44.\n4. Substitute t = z + 14 to f, which gives f = z + 58.\n5. Substitute z = c + 6 to f, which gives f = c + 64.\n6. Substitute c = 13 to f, which gives f = 77.\n\nThus, the final answer is f = \\boxed{77}.",
"index": 8076,
"question": "Suppose a collection of variables is related by the following definitions: h = m + 16; k = c + 1; f = w + 14; c = 13; t = z + 14; g = k + 18; m = n + 14; o = t + 17; u = o + 8; i = h + 19; w = u + 5; n = g + 7; z = c + 6. Given that c = 13, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"s": "p + 14", "d": "s + 11", "f": "d + 6", "v": "f + 15", "i": "v + 12", "w": "i + 14", "q": "p + 7", "h": "q + 3", "o": "h + 17", "a": "o + 15", "y": "a + 20", "l": "y + 12", "p": 19}, "premises": {"p": 19}, "target": "w"}, "answer": {"steps": [["i", "v + 12", "v + 26"], ["v", "f + 15", "f + 41"], ["f", "d + 6", "d + 47"], ["d", "s + 11", "s + 58"], ["s", "p + 14", "p + 72"], ["p", 19, "91"]], "target_var_name": "w", "target_value": 91, "value_dict": {"p": 19}, "is_reverse": true}} | 8,077 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = y + 12; y = a + 20; s = p + 14; h = q + 3; q = p + 7; o = h + 17; p = 19; f = d + 6; d = s + 11; w = i + 14; v = f + 15; a = o + 15; i = v + 12. If p = 19, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = v + 12 to w, which gives w = v + 26.\n2. Substitute v = f + 15 to w, which gives w = f + 41.\n3. Substitute f = d + 6 to w, which gives w = d + 47.\n4. Substitute d = s + 11 to w, which gives w = s + 58.\n5. Substitute s = p + 14 to w, which gives w = p + 72.\n6. Substitute p = 19 to w, which gives w = 91.\n\nThus, the final answer is w = \\boxed{91}.",
"index": 8077,
"question": "Consider a system of variables where each variable is defined as follows: l = y + 12; y = a + 20; s = p + 14; h = q + 3; q = p + 7; o = h + 17; p = 19; f = d + 6; d = s + 11; w = i + 14; v = f + 15; a = o + 15; i = v + 12. If p = 19, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"q": "l + 4", "a": "q + 15", "v": "a + 4", "s": "v + 17", "w": "s + 5", "t": "w + 8", "e": "l + 16", "d": "e + 13", "g": "d + 10", "k": "g + 8", "f": "k + 11", "m": "f + 2", "l": 4}, "premises": {"l": 4}, "target": "t"}, "answer": {"steps": [["w", "s + 5", "s + 13"], ["s", "v + 17", "v + 30"], ["v", "a + 4", "a + 34"], ["a", "q + 15", "q + 49"], ["q", "l + 4", "l + 53"], ["l", 4, "57"]], "target_var_name": "t", "target_value": 57, "value_dict": {"l": 4}, "is_reverse": true}} | 8,078 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = s + 5; s = v + 17; q = l + 4; v = a + 4; d = e + 13; g = d + 10; m = f + 2; k = g + 8; e = l + 16; a = q + 15; t = w + 8; l = 4; f = k + 11. Given that l = 4, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = s + 5 to t, which gives t = s + 13.\n2. Substitute s = v + 17 to t, which gives t = v + 30.\n3. Substitute v = a + 4 to t, which gives t = a + 34.\n4. Substitute a = q + 15 to t, which gives t = q + 49.\n5. Substitute q = l + 4 to t, which gives t = l + 53.\n6. Substitute l = 4 to t, which gives t = 57.\n\nThus, the final answer is t = \\boxed{57}.",
"index": 8078,
"question": "Suppose a collection of variables is related by the following definitions: w = s + 5; s = v + 17; q = l + 4; v = a + 4; d = e + 13; g = d + 10; m = f + 2; k = g + 8; e = l + 16; a = q + 15; t = w + 8; l = 4; f = k + 11. Given that l = 4, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"j": "b + 5", "d": "j + 17", "o": "d + 15", "l": "o + 17", "e": "l + 17", "n": "e + 12", "w": "b + 3", "s": "w + 1", "i": "s + 13", "f": "i + 16", "q": "f + 6", "z": "q + 12", "b": 5}, "premises": {"b": 5}, "target": "n"}, "answer": {"steps": [["e", "l + 17", "l + 29"], ["l", "o + 17", "o + 46"], ["o", "d + 15", "d + 61"], ["d", "j + 17", "j + 78"], ["j", "b + 5", "b + 83"], ["b", 5, "88"]], "target_var_name": "n", "target_value": 88, "value_dict": {"b": 5}, "is_reverse": true}} | 8,079 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = w + 1; j = b + 5; d = j + 17; e = l + 17; i = s + 13; f = i + 16; o = d + 15; q = f + 6; w = b + 3; n = e + 12; b = 5; l = o + 17; z = q + 12. Given that b = 5, find 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 e = l + 17 to n, which gives n = l + 29.\n2. Substitute l = o + 17 to n, which gives n = o + 46.\n3. Substitute o = d + 15 to n, which gives n = d + 61.\n4. Substitute d = j + 17 to n, which gives n = j + 78.\n5. Substitute j = b + 5 to n, which gives n = b + 83.\n6. Substitute b = 5 to n, which gives n = 88.\n\nThus, the final answer is n = \\boxed{88}.",
"index": 8079,
"question": "Suppose a collection of variables is related by the following definitions: s = w + 1; j = b + 5; d = j + 17; e = l + 17; i = s + 13; f = i + 16; o = d + 15; q = f + 6; w = b + 3; n = e + 12; b = 5; l = o + 17; z = q + 12. Given that b = 5, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"q": "h + 3", "u": "q + 2", "x": "u + 9", "n": "x + 6", "v": "n + 19", "p": "v + 12", "y": "h + 5", "r": "y + 20", "a": "r + 10", "e": "a + 12", "l": "e + 12", "s": "l + 12", "h": 15}, "premises": {"h": 15}, "target": "p"}, "answer": {"steps": [["v", "n + 19", "n + 31"], ["n", "x + 6", "x + 37"], ["x", "u + 9", "u + 46"], ["u", "q + 2", "q + 48"], ["q", "h + 3", "h + 51"], ["h", 15, "66"]], "target_var_name": "p", "target_value": 66, "value_dict": {"h": 15}, "is_reverse": true}} | 8,080 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = e + 12; e = a + 12; n = x + 6; h = 15; u = q + 2; q = h + 3; v = n + 19; r = y + 20; s = l + 12; a = r + 10; y = h + 5; x = u + 9; p = v + 12. If h = 15, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = n + 19 to p, which gives p = n + 31.\n2. Substitute n = x + 6 to p, which gives p = x + 37.\n3. Substitute x = u + 9 to p, which gives p = u + 46.\n4. Substitute u = q + 2 to p, which gives p = q + 48.\n5. Substitute q = h + 3 to p, which gives p = h + 51.\n6. Substitute h = 15 to p, which gives p = 66.\n\nThus, the final answer is p = \\boxed{66}.",
"index": 8080,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = e + 12; e = a + 12; n = x + 6; h = 15; u = q + 2; q = h + 3; v = n + 19; r = y + 20; s = l + 12; a = r + 10; y = h + 5; x = u + 9; p = v + 12. If h = 15, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"t": "v + 2", "r": "t + 10", "q": "r + 15", "u": "q + 4", "b": "u + 10", "e": "b + 16", "g": "v + 10", "a": "g + 9", "i": "a + 4", "d": "i + 10", "x": "d + 18", "s": "x + 1", "v": 3}, "premises": {"v": 3}, "target": "e"}, "answer": {"steps": [["b", "u + 10", "u + 26"], ["u", "q + 4", "q + 30"], ["q", "r + 15", "r + 45"], ["r", "t + 10", "t + 55"], ["t", "v + 2", "v + 57"], ["v", 3, "60"]], "target_var_name": "e", "target_value": 60, "value_dict": {"v": 3}, "is_reverse": true}} | 8,081 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = 3; t = v + 2; b = u + 10; a = g + 9; q = r + 15; s = x + 1; x = d + 18; d = i + 10; r = t + 10; u = q + 4; g = v + 10; i = a + 4; e = b + 16. Given that v = 3, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = u + 10 to e, which gives e = u + 26.\n2. Substitute u = q + 4 to e, which gives e = q + 30.\n3. Substitute q = r + 15 to e, which gives e = r + 45.\n4. Substitute r = t + 10 to e, which gives e = t + 55.\n5. Substitute t = v + 2 to e, which gives e = v + 57.\n6. Substitute v = 3 to e, which gives e = 60.\n\nThus, the final answer is e = \\boxed{60}.",
"index": 8081,
"question": "Suppose a collection of variables is related by the following definitions: v = 3; t = v + 2; b = u + 10; a = g + 9; q = r + 15; s = x + 1; x = d + 18; d = i + 10; r = t + 10; u = q + 4; g = v + 10; i = a + 4; e = b + 16. Given that v = 3, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"c": "g + 6", "t": "c + 10", "y": "t + 3", "w": "y + 15", "q": "w + 18", "j": "q + 14", "k": "g + 12", "s": "k + 19", "r": "s + 7", "d": "r + 11", "z": "d + 2", "h": "z + 9", "g": 9}, "premises": {"g": 9}, "target": "j"}, "answer": {"steps": [["q", "w + 18", "w + 32"], ["w", "y + 15", "y + 47"], ["y", "t + 3", "t + 50"], ["t", "c + 10", "c + 60"], ["c", "g + 6", "g + 66"], ["g", 9, "75"]], "target_var_name": "j", "target_value": 75, "value_dict": {"g": 9}, "is_reverse": true}} | 8,082 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = g + 6; t = c + 10; z = d + 2; w = y + 15; g = 9; q = w + 18; s = k + 19; k = g + 12; d = r + 11; j = q + 14; y = t + 3; r = s + 7; h = z + 9. If g = 9, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = w + 18 to j, which gives j = w + 32.\n2. Substitute w = y + 15 to j, which gives j = y + 47.\n3. Substitute y = t + 3 to j, which gives j = t + 50.\n4. Substitute t = c + 10 to j, which gives j = c + 60.\n5. Substitute c = g + 6 to j, which gives j = g + 66.\n6. Substitute g = 9 to j, which gives j = 75.\n\nThus, the final answer is j = \\boxed{75}.",
"index": 8082,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = g + 6; t = c + 10; z = d + 2; w = y + 15; g = 9; q = w + 18; s = k + 19; k = g + 12; d = r + 11; j = q + 14; y = t + 3; r = s + 7; h = z + 9. If g = 9, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"r": "v + 15", "e": "r + 10", "x": "e + 20", "o": "x + 13", "l": "o + 12", "q": "l + 2", "b": "v + 5", "g": "b + 10", "y": "g + 3", "z": "y + 3", "m": "z + 2", "w": "m + 8", "v": 4}, "premises": {"v": 4}, "target": "q"}, "answer": {"steps": [["l", "o + 12", "o + 14"], ["o", "x + 13", "x + 27"], ["x", "e + 20", "e + 47"], ["e", "r + 10", "r + 57"], ["r", "v + 15", "v + 72"], ["v", 4, "76"]], "target_var_name": "q", "target_value": 76, "value_dict": {"v": 4}, "is_reverse": true}} | 8,083 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = y + 3; o = x + 13; l = o + 12; q = l + 2; b = v + 5; r = v + 15; e = r + 10; y = g + 3; m = z + 2; w = m + 8; x = e + 20; g = b + 10; v = 4. If v = 4, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = o + 12 to q, which gives q = o + 14.\n2. Substitute o = x + 13 to q, which gives q = x + 27.\n3. Substitute x = e + 20 to q, which gives q = e + 47.\n4. Substitute e = r + 10 to q, which gives q = r + 57.\n5. Substitute r = v + 15 to q, which gives q = v + 72.\n6. Substitute v = 4 to q, which gives q = 76.\n\nThus, the final answer is q = \\boxed{76}.",
"index": 8083,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = y + 3; o = x + 13; l = o + 12; q = l + 2; b = v + 5; r = v + 15; e = r + 10; y = g + 3; m = z + 2; w = m + 8; x = e + 20; g = b + 10; v = 4. If v = 4, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"j": "w + 17", "n": "j + 13", "k": "n + 3", "s": "k + 20", "u": "s + 20", "z": "u + 3", "y": "w + 11", "c": "y + 1", "o": "c + 11", "b": "o + 10", "m": "b + 15", "f": "m + 13", "w": 19}, "premises": {"w": 19}, "target": "z"}, "answer": {"steps": [["u", "s + 20", "s + 23"], ["s", "k + 20", "k + 43"], ["k", "n + 3", "n + 46"], ["n", "j + 13", "j + 59"], ["j", "w + 17", "w + 76"], ["w", 19, "95"]], "target_var_name": "z", "target_value": 95, "value_dict": {"w": 19}, "is_reverse": true}} | 8,084 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = y + 1; f = m + 13; n = j + 13; w = 19; j = w + 17; b = o + 10; u = s + 20; k = n + 3; o = c + 11; z = u + 3; y = w + 11; m = b + 15; s = k + 20. Given that w = 19, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = s + 20 to z, which gives z = s + 23.\n2. Substitute s = k + 20 to z, which gives z = k + 43.\n3. Substitute k = n + 3 to z, which gives z = n + 46.\n4. Substitute n = j + 13 to z, which gives z = j + 59.\n5. Substitute j = w + 17 to z, which gives z = w + 76.\n6. Substitute w = 19 to z, which gives z = 95.\n\nThus, the final answer is z = \\boxed{95}.",
"index": 8084,
"question": "Suppose a collection of variables is related by the following definitions: c = y + 1; f = m + 13; n = j + 13; w = 19; j = w + 17; b = o + 10; u = s + 20; k = n + 3; o = c + 11; z = u + 3; y = w + 11; m = b + 15; s = k + 20. Given that w = 19, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"h": "f + 3", "n": "h + 1", "j": "n + 17", "k": "j + 17", "v": "k + 6", "w": "v + 5", "p": "f + 16", "x": "p + 12", "b": "x + 18", "s": "b + 14", "u": "s + 7", "r": "u + 8", "f": 1}, "premises": {"f": 1}, "target": "w"}, "answer": {"steps": [["v", "k + 6", "k + 11"], ["k", "j + 17", "j + 28"], ["j", "n + 17", "n + 45"], ["n", "h + 1", "h + 46"], ["h", "f + 3", "f + 49"], ["f", 1, "50"]], "target_var_name": "w", "target_value": 50, "value_dict": {"f": 1}, "is_reverse": true}} | 8,085 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = f + 16; w = v + 5; h = f + 3; r = u + 8; j = n + 17; f = 1; b = x + 18; v = k + 6; u = s + 7; k = j + 17; x = p + 12; n = h + 1; s = b + 14. If f = 1, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = k + 6 to w, which gives w = k + 11.\n2. Substitute k = j + 17 to w, which gives w = j + 28.\n3. Substitute j = n + 17 to w, which gives w = n + 45.\n4. Substitute n = h + 1 to w, which gives w = h + 46.\n5. Substitute h = f + 3 to w, which gives w = f + 49.\n6. Substitute f = 1 to w, which gives w = 50.\n\nThus, the final answer is w = \\boxed{50}.",
"index": 8085,
"question": "Consider a system of variables where each variable is defined as follows: p = f + 16; w = v + 5; h = f + 3; r = u + 8; j = n + 17; f = 1; b = x + 18; v = k + 6; u = s + 7; k = j + 17; x = p + 12; n = h + 1; s = b + 14. If f = 1, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"i": "h + 20", "z": "i + 13", "e": "z + 2", "g": "e + 10", "a": "g + 15", "p": "a + 13", "m": "h + 12", "b": "m + 8", "c": "b + 2", "x": "c + 5", "f": "x + 2", "t": "f + 8", "h": 5}, "premises": {"h": 5}, "target": "p"}, "answer": {"steps": [["a", "g + 15", "g + 28"], ["g", "e + 10", "e + 38"], ["e", "z + 2", "z + 40"], ["z", "i + 13", "i + 53"], ["i", "h + 20", "h + 73"], ["h", 5, "78"]], "target_var_name": "p", "target_value": 78, "value_dict": {"h": 5}, "is_reverse": true}} | 8,086 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = g + 15; h = 5; e = z + 2; f = x + 2; z = i + 13; i = h + 20; c = b + 2; t = f + 8; p = a + 13; m = h + 12; x = c + 5; g = e + 10; b = m + 8. If h = 5, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = g + 15 to p, which gives p = g + 28.\n2. Substitute g = e + 10 to p, which gives p = e + 38.\n3. Substitute e = z + 2 to p, which gives p = z + 40.\n4. Substitute z = i + 13 to p, which gives p = i + 53.\n5. Substitute i = h + 20 to p, which gives p = h + 73.\n6. Substitute h = 5 to p, which gives p = 78.\n\nThus, the final answer is p = \\boxed{78}.",
"index": 8086,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = g + 15; h = 5; e = z + 2; f = x + 2; z = i + 13; i = h + 20; c = b + 2; t = f + 8; p = a + 13; m = h + 12; x = c + 5; g = e + 10; b = m + 8. If h = 5, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"k": "p + 14", "d": "k + 3", "s": "d + 5", "o": "s + 1", "b": "o + 7", "c": "b + 7", "t": "p + 20", "x": "t + 3", "q": "x + 11", "j": "q + 18", "v": "j + 12", "u": "v + 15", "p": 12}, "premises": {"p": 12}, "target": "c"}, "answer": {"steps": [["b", "o + 7", "o + 14"], ["o", "s + 1", "s + 15"], ["s", "d + 5", "d + 20"], ["d", "k + 3", "k + 23"], ["k", "p + 14", "p + 37"], ["p", 12, "49"]], "target_var_name": "c", "target_value": 49, "value_dict": {"p": 12}, "is_reverse": true}} | 8,087 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = t + 3; u = v + 15; v = j + 12; s = d + 5; b = o + 7; o = s + 1; p = 12; k = p + 14; q = x + 11; t = p + 20; d = k + 3; c = b + 7; j = q + 18. Given that p = 12, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = o + 7 to c, which gives c = o + 14.\n2. Substitute o = s + 1 to c, which gives c = s + 15.\n3. Substitute s = d + 5 to c, which gives c = d + 20.\n4. Substitute d = k + 3 to c, which gives c = k + 23.\n5. Substitute k = p + 14 to c, which gives c = p + 37.\n6. Substitute p = 12 to c, which gives c = 49.\n\nThus, the final answer is c = \\boxed{49}.",
"index": 8087,
"question": "Suppose a collection of variables is related by the following definitions: x = t + 3; u = v + 15; v = j + 12; s = d + 5; b = o + 7; o = s + 1; p = 12; k = p + 14; q = x + 11; t = p + 20; d = k + 3; c = b + 7; j = q + 18. Given that p = 12, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"s": "e + 12", "b": "s + 15", "p": "b + 18", "x": "p + 19", "u": "x + 9", "o": "u + 11", "v": "e + 4", "k": "v + 18", "i": "k + 2", "g": "i + 19", "h": "g + 9", "a": "h + 19", "e": 18}, "premises": {"e": 18}, "target": "o"}, "answer": {"steps": [["u", "x + 9", "x + 20"], ["x", "p + 19", "p + 39"], ["p", "b + 18", "b + 57"], ["b", "s + 15", "s + 72"], ["s", "e + 12", "e + 84"], ["e", 18, "102"]], "target_var_name": "o", "target_value": 102, "value_dict": {"e": 18}, "is_reverse": true}} | 8,088 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = x + 9; g = i + 19; v = e + 4; b = s + 15; e = 18; a = h + 19; p = b + 18; x = p + 19; s = e + 12; o = u + 11; h = g + 9; i = k + 2; k = v + 18. If e = 18, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 102,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = x + 9 to o, which gives o = x + 20.\n2. Substitute x = p + 19 to o, which gives o = p + 39.\n3. Substitute p = b + 18 to o, which gives o = b + 57.\n4. Substitute b = s + 15 to o, which gives o = s + 72.\n5. Substitute s = e + 12 to o, which gives o = e + 84.\n6. Substitute e = 18 to o, which gives o = 102.\n\nThus, the final answer is o = \\boxed{102}.",
"index": 8088,
"question": "Consider a system of variables where each variable is defined as follows: u = x + 9; g = i + 19; v = e + 4; b = s + 15; e = 18; a = h + 19; p = b + 18; x = p + 19; s = e + 12; o = u + 11; h = g + 9; i = k + 2; k = v + 18. If e = 18, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"m": "w + 10", "b": "m + 4", "n": "b + 17", "p": "n + 18", "r": "p + 12", "u": "r + 8", "s": "w + 19", "t": "s + 13", "d": "t + 16", "i": "d + 1", "o": "i + 12", "l": "o + 10", "w": 13}, "premises": {"w": 13}, "target": "u"}, "answer": {"steps": [["r", "p + 12", "p + 20"], ["p", "n + 18", "n + 38"], ["n", "b + 17", "b + 55"], ["b", "m + 4", "m + 59"], ["m", "w + 10", "w + 69"], ["w", 13, "82"]], "target_var_name": "u", "target_value": 82, "value_dict": {"w": 13}, "is_reverse": true}} | 8,089 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = o + 10; i = d + 1; d = t + 16; p = n + 18; b = m + 4; r = p + 12; n = b + 17; u = r + 8; m = w + 10; o = i + 12; w = 13; s = w + 19; t = s + 13. Given that w = 13, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = p + 12 to u, which gives u = p + 20.\n2. Substitute p = n + 18 to u, which gives u = n + 38.\n3. Substitute n = b + 17 to u, which gives u = b + 55.\n4. Substitute b = m + 4 to u, which gives u = m + 59.\n5. Substitute m = w + 10 to u, which gives u = w + 69.\n6. Substitute w = 13 to u, which gives u = 82.\n\nThus, the final answer is u = \\boxed{82}.",
"index": 8089,
"question": "Suppose a collection of variables is related by the following definitions: l = o + 10; i = d + 1; d = t + 16; p = n + 18; b = m + 4; r = p + 12; n = b + 17; u = r + 8; m = w + 10; o = i + 12; w = 13; s = w + 19; t = s + 13. Given that w = 13, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"i": "k + 9", "c": "i + 14", "o": "c + 19", "q": "o + 1", "p": "q + 7", "m": "p + 14", "u": "k + 13", "e": "u + 10", "v": "e + 10", "f": "v + 1", "t": "f + 1", "w": "t + 13", "k": 9}, "premises": {"k": 9}, "target": "m"}, "answer": {"steps": [["p", "q + 7", "q + 21"], ["q", "o + 1", "o + 22"], ["o", "c + 19", "c + 41"], ["c", "i + 14", "i + 55"], ["i", "k + 9", "k + 64"], ["k", 9, "73"]], "target_var_name": "m", "target_value": 73, "value_dict": {"k": 9}, "is_reverse": true}} | 8,090 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = p + 14; q = o + 1; p = q + 7; v = e + 10; e = u + 10; f = v + 1; t = f + 1; w = t + 13; i = k + 9; k = 9; o = c + 19; u = k + 13; c = i + 14. If k = 9, determine 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 p = q + 7 to m, which gives m = q + 21.\n2. Substitute q = o + 1 to m, which gives m = o + 22.\n3. Substitute o = c + 19 to m, which gives m = c + 41.\n4. Substitute c = i + 14 to m, which gives m = i + 55.\n5. Substitute i = k + 9 to m, which gives m = k + 64.\n6. Substitute k = 9 to m, which gives m = 73.\n\nThus, the final answer is m = \\boxed{73}.",
"index": 8090,
"question": "Consider a system of variables where each variable is defined as follows: m = p + 14; q = o + 1; p = q + 7; v = e + 10; e = u + 10; f = v + 1; t = f + 1; w = t + 13; i = k + 9; k = 9; o = c + 19; u = k + 13; c = i + 14. If k = 9, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"f": "c + 3", "a": "f + 6", "v": "a + 15", "q": "v + 15", "h": "q + 17", "e": "h + 15", "n": "c + 4", "p": "n + 19", "l": "p + 3", "r": "l + 7", "k": "r + 8", "j": "k + 5", "c": 6}, "premises": {"c": 6}, "target": "e"}, "answer": {"steps": [["h", "q + 17", "q + 32"], ["q", "v + 15", "v + 47"], ["v", "a + 15", "a + 62"], ["a", "f + 6", "f + 68"], ["f", "c + 3", "c + 71"], ["c", 6, "77"]], "target_var_name": "e", "target_value": 77, "value_dict": {"c": 6}, "is_reverse": true}} | 8,091 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = r + 8; f = c + 3; e = h + 15; v = a + 15; l = p + 3; n = c + 4; a = f + 6; j = k + 5; c = 6; p = n + 19; h = q + 17; q = v + 15; r = l + 7. If c = 6, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = q + 17 to e, which gives e = q + 32.\n2. Substitute q = v + 15 to e, which gives e = v + 47.\n3. Substitute v = a + 15 to e, which gives e = a + 62.\n4. Substitute a = f + 6 to e, which gives e = f + 68.\n5. Substitute f = c + 3 to e, which gives e = c + 71.\n6. Substitute c = 6 to e, which gives e = 77.\n\nThus, the final answer is e = \\boxed{77}.",
"index": 8091,
"question": "Consider a system of variables where each variable is defined as follows: k = r + 8; f = c + 3; e = h + 15; v = a + 15; l = p + 3; n = c + 4; a = f + 6; j = k + 5; c = 6; p = n + 19; h = q + 17; q = v + 15; r = l + 7. If c = 6, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"w": "n + 16", "h": "w + 18", "r": "h + 8", "f": "r + 15", "z": "f + 6", "s": "z + 7", "m": "n + 3", "q": "m + 4", "x": "q + 12", "j": "x + 16", "e": "j + 17", "p": "e + 5", "n": 8}, "premises": {"n": 8}, "target": "s"}, "answer": {"steps": [["z", "f + 6", "f + 13"], ["f", "r + 15", "r + 28"], ["r", "h + 8", "h + 36"], ["h", "w + 18", "w + 54"], ["w", "n + 16", "n + 70"], ["n", 8, "78"]], "target_var_name": "s", "target_value": 78, "value_dict": {"n": 8}, "is_reverse": true}} | 8,092 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = n + 3; f = r + 15; e = j + 17; s = z + 7; n = 8; j = x + 16; w = n + 16; r = h + 8; q = m + 4; p = e + 5; x = q + 12; z = f + 6; h = w + 18. If n = 8, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = f + 6 to s, which gives s = f + 13.\n2. Substitute f = r + 15 to s, which gives s = r + 28.\n3. Substitute r = h + 8 to s, which gives s = h + 36.\n4. Substitute h = w + 18 to s, which gives s = w + 54.\n5. Substitute w = n + 16 to s, which gives s = n + 70.\n6. Substitute n = 8 to s, which gives s = 78.\n\nThus, the final answer is s = \\boxed{78}.",
"index": 8092,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = n + 3; f = r + 15; e = j + 17; s = z + 7; n = 8; j = x + 16; w = n + 16; r = h + 8; q = m + 4; p = e + 5; x = q + 12; z = f + 6; h = w + 18. If n = 8, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"g": "c + 4", "b": "g + 7", "z": "b + 13", "w": "z + 4", "t": "w + 19", "y": "t + 4", "h": "c + 19", "s": "h + 20", "u": "s + 11", "i": "u + 12", "j": "i + 9", "q": "j + 1", "c": 15}, "premises": {"c": 15}, "target": "y"}, "answer": {"steps": [["t", "w + 19", "w + 23"], ["w", "z + 4", "z + 27"], ["z", "b + 13", "b + 40"], ["b", "g + 7", "g + 47"], ["g", "c + 4", "c + 51"], ["c", 15, "66"]], "target_var_name": "y", "target_value": 66, "value_dict": {"c": 15}, "is_reverse": true}} | 8,093 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = g + 7; h = c + 19; i = u + 12; u = s + 11; z = b + 13; y = t + 4; t = w + 19; g = c + 4; j = i + 9; c = 15; s = h + 20; w = z + 4; q = j + 1. Given that c = 15, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = w + 19 to y, which gives y = w + 23.\n2. Substitute w = z + 4 to y, which gives y = z + 27.\n3. Substitute z = b + 13 to y, which gives y = b + 40.\n4. Substitute b = g + 7 to y, which gives y = g + 47.\n5. Substitute g = c + 4 to y, which gives y = c + 51.\n6. Substitute c = 15 to y, which gives y = 66.\n\nThus, the final answer is y = \\boxed{66}.",
"index": 8093,
"question": "Suppose a collection of variables is related by the following definitions: b = g + 7; h = c + 19; i = u + 12; u = s + 11; z = b + 13; y = t + 4; t = w + 19; g = c + 4; j = i + 9; c = 15; s = h + 20; w = z + 4; q = j + 1. Given that c = 15, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"v": "h + 6", "j": "v + 14", "w": "j + 13", "p": "w + 7", "b": "p + 2", "i": "b + 19", "y": "h + 4", "n": "y + 12", "e": "n + 18", "z": "e + 11", "l": "z + 6", "u": "l + 6", "h": 1}, "premises": {"h": 1}, "target": "i"}, "answer": {"steps": [["b", "p + 2", "p + 21"], ["p", "w + 7", "w + 28"], ["w", "j + 13", "j + 41"], ["j", "v + 14", "v + 55"], ["v", "h + 6", "h + 61"], ["h", 1, "62"]], "target_var_name": "i", "target_value": 62, "value_dict": {"h": 1}, "is_reverse": true}} | 8,094 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = b + 19; z = e + 11; p = w + 7; w = j + 13; y = h + 4; u = l + 6; l = z + 6; b = p + 2; v = h + 6; n = y + 12; j = v + 14; e = n + 18; h = 1. If h = 1, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = p + 2 to i, which gives i = p + 21.\n2. Substitute p = w + 7 to i, which gives i = w + 28.\n3. Substitute w = j + 13 to i, which gives i = j + 41.\n4. Substitute j = v + 14 to i, which gives i = v + 55.\n5. Substitute v = h + 6 to i, which gives i = h + 61.\n6. Substitute h = 1 to i, which gives i = 62.\n\nThus, the final answer is i = \\boxed{62}.",
"index": 8094,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = b + 19; z = e + 11; p = w + 7; w = j + 13; y = h + 4; u = l + 6; l = z + 6; b = p + 2; v = h + 6; n = y + 12; j = v + 14; e = n + 18; h = 1. If h = 1, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"c": "h + 20", "f": "c + 18", "a": "f + 6", "l": "a + 17", "d": "l + 11", "r": "d + 15", "m": "h + 5", "t": "m + 7", "i": "t + 2", "q": "i + 15", "o": "q + 20", "g": "o + 3", "h": 7}, "premises": {"h": 7}, "target": "r"}, "answer": {"steps": [["d", "l + 11", "l + 26"], ["l", "a + 17", "a + 43"], ["a", "f + 6", "f + 49"], ["f", "c + 18", "c + 67"], ["c", "h + 20", "h + 87"], ["h", 7, "94"]], "target_var_name": "r", "target_value": 94, "value_dict": {"h": 7}, "is_reverse": true}} | 8,095 | 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 + 3; l = a + 17; m = h + 5; i = t + 2; t = m + 7; a = f + 6; q = i + 15; f = c + 18; d = l + 11; c = h + 20; r = d + 15; h = 7; o = q + 20. If h = 7, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = l + 11 to r, which gives r = l + 26.\n2. Substitute l = a + 17 to r, which gives r = a + 43.\n3. Substitute a = f + 6 to r, which gives r = f + 49.\n4. Substitute f = c + 18 to r, which gives r = c + 67.\n5. Substitute c = h + 20 to r, which gives r = h + 87.\n6. Substitute h = 7 to r, which gives r = 94.\n\nThus, the final answer is r = \\boxed{94}.",
"index": 8095,
"question": "Consider a system of variables where each variable is defined as follows: g = o + 3; l = a + 17; m = h + 5; i = t + 2; t = m + 7; a = f + 6; q = i + 15; f = c + 18; d = l + 11; c = h + 20; r = d + 15; h = 7; o = q + 20. If h = 7, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"v": "m + 8", "h": "v + 5", "b": "h + 8", "u": "b + 13", "a": "u + 8", "f": "a + 4", "z": "m + 17", "q": "z + 16", "o": "q + 14", "g": "o + 12", "r": "g + 12", "n": "r + 20", "m": 7}, "premises": {"m": 7}, "target": "f"}, "answer": {"steps": [["a", "u + 8", "u + 12"], ["u", "b + 13", "b + 25"], ["b", "h + 8", "h + 33"], ["h", "v + 5", "v + 38"], ["v", "m + 8", "m + 46"], ["m", 7, "53"]], "target_var_name": "f", "target_value": 53, "value_dict": {"m": 7}, "is_reverse": true}} | 8,096 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = u + 8; v = m + 8; q = z + 16; z = m + 17; n = r + 20; m = 7; f = a + 4; r = g + 12; u = b + 13; b = h + 8; h = v + 5; g = o + 12; o = q + 14. Given that m = 7, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = u + 8 to f, which gives f = u + 12.\n2. Substitute u = b + 13 to f, which gives f = b + 25.\n3. Substitute b = h + 8 to f, which gives f = h + 33.\n4. Substitute h = v + 5 to f, which gives f = v + 38.\n5. Substitute v = m + 8 to f, which gives f = m + 46.\n6. Substitute m = 7 to f, which gives f = 53.\n\nThus, the final answer is f = \\boxed{53}.",
"index": 8096,
"question": "Suppose a collection of variables is related by the following definitions: a = u + 8; v = m + 8; q = z + 16; z = m + 17; n = r + 20; m = 7; f = a + 4; r = g + 12; u = b + 13; b = h + 8; h = v + 5; g = o + 12; o = q + 14. Given that m = 7, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"y": "n + 11", "i": "y + 20", "e": "i + 15", "v": "e + 9", "m": "v + 9", "x": "m + 18", "t": "n + 14", "q": "t + 19", "s": "q + 8", "k": "s + 20", "g": "k + 19", "c": "g + 14", "n": 14}, "premises": {"n": 14}, "target": "x"}, "answer": {"steps": [["m", "v + 9", "v + 27"], ["v", "e + 9", "e + 36"], ["e", "i + 15", "i + 51"], ["i", "y + 20", "y + 71"], ["y", "n + 11", "n + 82"], ["n", 14, "96"]], "target_var_name": "x", "target_value": 96, "value_dict": {"n": 14}, "is_reverse": true}} | 8,097 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = m + 18; m = v + 9; g = k + 19; y = n + 11; v = e + 9; s = q + 8; k = s + 20; c = g + 14; e = i + 15; n = 14; t = n + 14; i = y + 20; q = t + 19. Given that n = 14, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = v + 9 to x, which gives x = v + 27.\n2. Substitute v = e + 9 to x, which gives x = e + 36.\n3. Substitute e = i + 15 to x, which gives x = i + 51.\n4. Substitute i = y + 20 to x, which gives x = y + 71.\n5. Substitute y = n + 11 to x, which gives x = n + 82.\n6. Substitute n = 14 to x, which gives x = 96.\n\nThus, the final answer is x = \\boxed{96}.",
"index": 8097,
"question": "Suppose a collection of variables is related by the following definitions: x = m + 18; m = v + 9; g = k + 19; y = n + 11; v = e + 9; s = q + 8; k = s + 20; c = g + 14; e = i + 15; n = 14; t = n + 14; i = y + 20; q = t + 19. Given that n = 14, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"p": "f + 2", "v": "p + 17", "l": "v + 10", "i": "l + 2", "m": "i + 2", "w": "m + 11", "e": "f + 14", "h": "e + 16", "d": "h + 19", "t": "d + 15", "u": "t + 13", "b": "u + 5", "f": 20}, "premises": {"f": 20}, "target": "w"}, "answer": {"steps": [["m", "i + 2", "i + 13"], ["i", "l + 2", "l + 15"], ["l", "v + 10", "v + 25"], ["v", "p + 17", "p + 42"], ["p", "f + 2", "f + 44"], ["f", 20, "64"]], "target_var_name": "w", "target_value": 64, "value_dict": {"f": 20}, "is_reverse": true}} | 8,098 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = h + 19; p = f + 2; l = v + 10; m = i + 2; i = l + 2; t = d + 15; v = p + 17; h = e + 16; b = u + 5; w = m + 11; u = t + 13; f = 20; e = f + 14. If f = 20, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = i + 2 to w, which gives w = i + 13.\n2. Substitute i = l + 2 to w, which gives w = l + 15.\n3. Substitute l = v + 10 to w, which gives w = v + 25.\n4. Substitute v = p + 17 to w, which gives w = p + 42.\n5. Substitute p = f + 2 to w, which gives w = f + 44.\n6. Substitute f = 20 to w, which gives w = 64.\n\nThus, the final answer is w = \\boxed{64}.",
"index": 8098,
"question": "Consider a system of variables where each variable is defined as follows: d = h + 19; p = f + 2; l = v + 10; m = i + 2; i = l + 2; t = d + 15; v = p + 17; h = e + 16; b = u + 5; w = m + 11; u = t + 13; f = 20; e = f + 14. If f = 20, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"v": "y + 9", "m": "v + 11", "d": "m + 20", "t": "d + 4", "u": "t + 2", "x": "u + 10", "w": "y + 6", "p": "w + 5", "l": "p + 14", "j": "l + 7", "k": "j + 6", "h": "k + 17", "y": 3}, "premises": {"y": 3}, "target": "x"}, "answer": {"steps": [["u", "t + 2", "t + 12"], ["t", "d + 4", "d + 16"], ["d", "m + 20", "m + 36"], ["m", "v + 11", "v + 47"], ["v", "y + 9", "y + 56"], ["y", 3, "59"]], "target_var_name": "x", "target_value": 59, "value_dict": {"y": 3}, "is_reverse": true}} | 8,099 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = j + 6; t = d + 4; y = 3; u = t + 2; x = u + 10; m = v + 11; j = l + 7; v = y + 9; l = p + 14; w = y + 6; p = w + 5; d = m + 20; h = k + 17. If y = 3, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = t + 2 to x, which gives x = t + 12.\n2. Substitute t = d + 4 to x, which gives x = d + 16.\n3. Substitute d = m + 20 to x, which gives x = m + 36.\n4. Substitute m = v + 11 to x, which gives x = v + 47.\n5. Substitute v = y + 9 to x, which gives x = y + 56.\n6. Substitute y = 3 to x, which gives x = 59.\n\nThus, the final answer is x = \\boxed{59}.",
"index": 8099,
"question": "Consider a system of variables where each variable is defined as follows: k = j + 6; t = d + 4; y = 3; u = t + 2; x = u + 10; m = v + 11; j = l + 7; v = y + 9; l = p + 14; w = y + 6; p = w + 5; d = m + 20; h = k + 17. If y = 3, determine the value of x.",
"split": "train"
} |
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