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": {"r": "x + 11", "a": "r + 20", "d": "a + 5", "w": "d + 18", "t": "w + 15", "s": "t + 11", "v": "x + 20", "e": "v + 14", "p": "e + 18", "z": "p + 2", "q": "z + 12", "c": "q + 10", "x": 6}, "premises": {"x": 6}, "target": "s"}, "answer": {"steps": [["t", "w + 15", "w + 26"], ["w", "d + 18", "d + 44"], ["d", "a + 5", "a + 49"], ["a", "r + 20", "r + 69"], ["r", "x + 11", "x + 80"], ["x", 6, "86"]], "target_var_name": "s", "target_value": 86, "value_dict": {"x": 6}, "is_reverse": true}} | 21,600 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = q + 10; x = 6; a = r + 20; r = x + 11; p = e + 18; v = x + 20; q = z + 12; s = t + 11; e = v + 14; z = p + 2; t = w + 15; w = d + 18; d = a + 5. Given that x = 6, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = w + 15 to s, which gives s = w + 26.\n2. Substitute w = d + 18 to s, which gives s = d + 44.\n3. Substitute d = a + 5 to s, which gives s = a + 49.\n4. Substitute a = r + 20 to s, which gives s = r + 69.\n5. Substitute r = x + 11 to s, which gives s = x + 80.\n6. Substitute x = 6 to s, which gives s = 86.\n\nThus, the final answer is s = \\boxed{86}.",
"index": 21600,
"question": "Suppose a collection of variables is related by the following definitions: c = q + 10; x = 6; a = r + 20; r = x + 11; p = e + 18; v = x + 20; q = z + 12; s = t + 11; e = v + 14; z = p + 2; t = w + 15; w = d + 18; d = a + 5. Given that x = 6, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"o": "e + 20", "y": "o + 17", "b": "y + 13", "z": "b + 3", "u": "z + 1", "l": "u + 3", "v": "e + 14", "a": "v + 20", "g": "a + 17", "i": "g + 18", "j": "i + 2", "s": "j + 15", "e": 2}, "premises": {"e": 2}, "target": "l"}, "answer": {"steps": [["u", "z + 1", "z + 4"], ["z", "b + 3", "b + 7"], ["b", "y + 13", "y + 20"], ["y", "o + 17", "o + 37"], ["o", "e + 20", "e + 57"], ["e", 2, "59"]], "target_var_name": "l", "target_value": 59, "value_dict": {"e": 2}, "is_reverse": true}} | 21,601 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = b + 3; u = z + 1; j = i + 2; i = g + 18; a = v + 20; o = e + 20; g = a + 17; l = u + 3; y = o + 17; e = 2; v = e + 14; s = j + 15; b = y + 13. If e = 2, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = z + 1 to l, which gives l = z + 4.\n2. Substitute z = b + 3 to l, which gives l = b + 7.\n3. Substitute b = y + 13 to l, which gives l = y + 20.\n4. Substitute y = o + 17 to l, which gives l = o + 37.\n5. Substitute o = e + 20 to l, which gives l = e + 57.\n6. Substitute e = 2 to l, which gives l = 59.\n\nThus, the final answer is l = \\boxed{59}.",
"index": 21601,
"question": "Consider a system of variables where each variable is defined as follows: z = b + 3; u = z + 1; j = i + 2; i = g + 18; a = v + 20; o = e + 20; g = a + 17; l = u + 3; y = o + 17; e = 2; v = e + 14; s = j + 15; b = y + 13. If e = 2, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"p": "a + 14", "h": "p + 5", "f": "h + 18", "i": "f + 4", "r": "i + 14", "b": "r + 3", "l": "a + 14", "n": "l + 9", "g": "n + 17", "u": "g + 11", "k": "u + 9", "c": "k + 18", "a": 4}, "premises": {"a": 4}, "target": "b"}, "answer": {"steps": [["r", "i + 14", "i + 17"], ["i", "f + 4", "f + 21"], ["f", "h + 18", "h + 39"], ["h", "p + 5", "p + 44"], ["p", "a + 14", "a + 58"], ["a", 4, "62"]], "target_var_name": "b", "target_value": 62, "value_dict": {"a": 4}, "is_reverse": true}} | 21,602 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = l + 9; b = r + 3; k = u + 9; f = h + 18; r = i + 14; u = g + 11; g = n + 17; h = p + 5; i = f + 4; c = k + 18; p = a + 14; a = 4; l = a + 14. Given that a = 4, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = i + 14 to b, which gives b = i + 17.\n2. Substitute i = f + 4 to b, which gives b = f + 21.\n3. Substitute f = h + 18 to b, which gives b = h + 39.\n4. Substitute h = p + 5 to b, which gives b = p + 44.\n5. Substitute p = a + 14 to b, which gives b = a + 58.\n6. Substitute a = 4 to b, which gives b = 62.\n\nThus, the final answer is b = \\boxed{62}.",
"index": 21602,
"question": "Suppose a collection of variables is related by the following definitions: n = l + 9; b = r + 3; k = u + 9; f = h + 18; r = i + 14; u = g + 11; g = n + 17; h = p + 5; i = f + 4; c = k + 18; p = a + 14; a = 4; l = a + 14. Given that a = 4, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"f": "k + 20", "d": "f + 5", "u": "d + 4", "n": "u + 16", "y": "n + 4", "v": "y + 13", "o": "k + 16", "b": "o + 11", "h": "b + 3", "s": "h + 4", "w": "s + 12", "c": "w + 12", "k": 18}, "premises": {"k": 18}, "target": "v"}, "answer": {"steps": [["y", "n + 4", "n + 17"], ["n", "u + 16", "u + 33"], ["u", "d + 4", "d + 37"], ["d", "f + 5", "f + 42"], ["f", "k + 20", "k + 62"], ["k", 18, "80"]], "target_var_name": "v", "target_value": 80, "value_dict": {"k": 18}, "is_reverse": true}} | 21,603 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = k + 20; y = n + 4; w = s + 12; b = o + 11; o = k + 16; d = f + 5; n = u + 16; v = y + 13; s = h + 4; c = w + 12; k = 18; h = b + 3; u = d + 4. If k = 18, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = n + 4 to v, which gives v = n + 17.\n2. Substitute n = u + 16 to v, which gives v = u + 33.\n3. Substitute u = d + 4 to v, which gives v = d + 37.\n4. Substitute d = f + 5 to v, which gives v = f + 42.\n5. Substitute f = k + 20 to v, which gives v = k + 62.\n6. Substitute k = 18 to v, which gives v = 80.\n\nThus, the final answer is v = \\boxed{80}.",
"index": 21603,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = k + 20; y = n + 4; w = s + 12; b = o + 11; o = k + 16; d = f + 5; n = u + 16; v = y + 13; s = h + 4; c = w + 12; k = 18; h = b + 3; u = d + 4. If k = 18, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"n": "c + 3", "p": "n + 14", "v": "p + 8", "d": "v + 16", "o": "d + 3", "f": "o + 18", "b": "c + 7", "h": "b + 17", "j": "h + 15", "k": "j + 20", "u": "k + 3", "w": "u + 3", "c": 16}, "premises": {"c": 16}, "target": "f"}, "answer": {"steps": [["o", "d + 3", "d + 21"], ["d", "v + 16", "v + 37"], ["v", "p + 8", "p + 45"], ["p", "n + 14", "n + 59"], ["n", "c + 3", "c + 62"], ["c", 16, "78"]], "target_var_name": "f", "target_value": 78, "value_dict": {"c": 16}, "is_reverse": true}} | 21,604 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = h + 15; f = o + 18; u = k + 3; c = 16; k = j + 20; b = c + 7; w = u + 3; h = b + 17; v = p + 8; n = c + 3; p = n + 14; o = d + 3; d = v + 16. Given that c = 16, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = d + 3 to f, which gives f = d + 21.\n2. Substitute d = v + 16 to f, which gives f = v + 37.\n3. Substitute v = p + 8 to f, which gives f = p + 45.\n4. Substitute p = n + 14 to f, which gives f = n + 59.\n5. Substitute n = c + 3 to f, which gives f = c + 62.\n6. Substitute c = 16 to f, which gives f = 78.\n\nThus, the final answer is f = \\boxed{78}.",
"index": 21604,
"question": "Suppose a collection of variables is related by the following definitions: j = h + 15; f = o + 18; u = k + 3; c = 16; k = j + 20; b = c + 7; w = u + 3; h = b + 17; v = p + 8; n = c + 3; p = n + 14; o = d + 3; d = v + 16. Given that c = 16, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"t": "k + 18", "z": "t + 18", "l": "z + 3", "v": "l + 17", "a": "v + 8", "q": "a + 6", "g": "k + 6", "w": "g + 20", "o": "w + 12", "y": "o + 5", "b": "y + 15", "r": "b + 12", "k": 16}, "premises": {"k": 16}, "target": "q"}, "answer": {"steps": [["a", "v + 8", "v + 14"], ["v", "l + 17", "l + 31"], ["l", "z + 3", "z + 34"], ["z", "t + 18", "t + 52"], ["t", "k + 18", "k + 70"], ["k", 16, "86"]], "target_var_name": "q", "target_value": 86, "value_dict": {"k": 16}, "is_reverse": true}} | 21,605 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = a + 6; y = o + 5; b = y + 15; t = k + 18; l = z + 3; a = v + 8; v = l + 17; z = t + 18; o = w + 12; g = k + 6; k = 16; r = b + 12; w = g + 20. If k = 16, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = v + 8 to q, which gives q = v + 14.\n2. Substitute v = l + 17 to q, which gives q = l + 31.\n3. Substitute l = z + 3 to q, which gives q = z + 34.\n4. Substitute z = t + 18 to q, which gives q = t + 52.\n5. Substitute t = k + 18 to q, which gives q = k + 70.\n6. Substitute k = 16 to q, which gives q = 86.\n\nThus, the final answer is q = \\boxed{86}.",
"index": 21605,
"question": "Consider a system of variables where each variable is defined as follows: q = a + 6; y = o + 5; b = y + 15; t = k + 18; l = z + 3; a = v + 8; v = l + 17; z = t + 18; o = w + 12; g = k + 6; k = 16; r = b + 12; w = g + 20. If k = 16, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"z": "h + 1", "u": "z + 4", "k": "u + 15", "p": "k + 19", "g": "p + 8", "f": "g + 12", "w": "h + 3", "e": "w + 8", "l": "e + 16", "a": "l + 10", "d": "a + 8", "c": "d + 4", "h": 17}, "premises": {"h": 17}, "target": "f"}, "answer": {"steps": [["g", "p + 8", "p + 20"], ["p", "k + 19", "k + 39"], ["k", "u + 15", "u + 54"], ["u", "z + 4", "z + 58"], ["z", "h + 1", "h + 59"], ["h", 17, "76"]], "target_var_name": "f", "target_value": 76, "value_dict": {"h": 17}, "is_reverse": true}} | 21,606 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = a + 8; g = p + 8; l = e + 16; z = h + 1; p = k + 19; e = w + 8; c = d + 4; k = u + 15; f = g + 12; w = h + 3; a = l + 10; u = z + 4; h = 17. Given that h = 17, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = p + 8 to f, which gives f = p + 20.\n2. Substitute p = k + 19 to f, which gives f = k + 39.\n3. Substitute k = u + 15 to f, which gives f = u + 54.\n4. Substitute u = z + 4 to f, which gives f = z + 58.\n5. Substitute z = h + 1 to f, which gives f = h + 59.\n6. Substitute h = 17 to f, which gives f = 76.\n\nThus, the final answer is f = \\boxed{76}.",
"index": 21606,
"question": "Suppose a collection of variables is related by the following definitions: d = a + 8; g = p + 8; l = e + 16; z = h + 1; p = k + 19; e = w + 8; c = d + 4; k = u + 15; f = g + 12; w = h + 3; a = l + 10; u = z + 4; h = 17. Given that h = 17, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"z": "x + 9", "y": "z + 7", "c": "y + 11", "e": "c + 6", "w": "e + 1", "f": "w + 19", "u": "x + 12", "a": "u + 13", "p": "a + 2", "r": "p + 8", "b": "r + 4", "d": "b + 17", "x": 16}, "premises": {"x": 16}, "target": "f"}, "answer": {"steps": [["w", "e + 1", "e + 20"], ["e", "c + 6", "c + 26"], ["c", "y + 11", "y + 37"], ["y", "z + 7", "z + 44"], ["z", "x + 9", "x + 53"], ["x", 16, "69"]], "target_var_name": "f", "target_value": 69, "value_dict": {"x": 16}, "is_reverse": true}} | 21,607 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = b + 17; r = p + 8; a = u + 13; y = z + 7; f = w + 19; w = e + 1; x = 16; e = c + 6; c = y + 11; b = r + 4; p = a + 2; u = x + 12; z = x + 9. If x = 16, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = e + 1 to f, which gives f = e + 20.\n2. Substitute e = c + 6 to f, which gives f = c + 26.\n3. Substitute c = y + 11 to f, which gives f = y + 37.\n4. Substitute y = z + 7 to f, which gives f = z + 44.\n5. Substitute z = x + 9 to f, which gives f = x + 53.\n6. Substitute x = 16 to f, which gives f = 69.\n\nThus, the final answer is f = \\boxed{69}.",
"index": 21607,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = b + 17; r = p + 8; a = u + 13; y = z + 7; f = w + 19; w = e + 1; x = 16; e = c + 6; c = y + 11; b = r + 4; p = a + 2; u = x + 12; z = x + 9. If x = 16, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"i": "w + 2", "j": "i + 4", "u": "j + 4", "t": "u + 10", "f": "t + 18", "a": "f + 13", "k": "w + 5", "v": "k + 2", "s": "v + 17", "x": "s + 14", "g": "x + 15", "e": "g + 3", "w": 16}, "premises": {"w": 16}, "target": "a"}, "answer": {"steps": [["f", "t + 18", "t + 31"], ["t", "u + 10", "u + 41"], ["u", "j + 4", "j + 45"], ["j", "i + 4", "i + 49"], ["i", "w + 2", "w + 51"], ["w", 16, "67"]], "target_var_name": "a", "target_value": 67, "value_dict": {"w": 16}, "is_reverse": true}} | 21,608 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = t + 18; s = v + 17; u = j + 4; w = 16; v = k + 2; t = u + 10; j = i + 4; g = x + 15; x = s + 14; i = w + 2; k = w + 5; a = f + 13; e = g + 3. If w = 16, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = t + 18 to a, which gives a = t + 31.\n2. Substitute t = u + 10 to a, which gives a = u + 41.\n3. Substitute u = j + 4 to a, which gives a = j + 45.\n4. Substitute j = i + 4 to a, which gives a = i + 49.\n5. Substitute i = w + 2 to a, which gives a = w + 51.\n6. Substitute w = 16 to a, which gives a = 67.\n\nThus, the final answer is a = \\boxed{67}.",
"index": 21608,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = t + 18; s = v + 17; u = j + 4; w = 16; v = k + 2; t = u + 10; j = i + 4; g = x + 15; x = s + 14; i = w + 2; k = w + 5; a = f + 13; e = g + 3. If w = 16, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"j": "y + 4", "p": "j + 16", "g": "p + 15", "o": "g + 7", "z": "o + 19", "h": "z + 4", "f": "y + 17", "m": "f + 9", "d": "m + 2", "w": "d + 13", "b": "w + 11", "x": "b + 17", "y": 6}, "premises": {"y": 6}, "target": "h"}, "answer": {"steps": [["z", "o + 19", "o + 23"], ["o", "g + 7", "g + 30"], ["g", "p + 15", "p + 45"], ["p", "j + 16", "j + 61"], ["j", "y + 4", "y + 65"], ["y", 6, "71"]], "target_var_name": "h", "target_value": 71, "value_dict": {"y": 6}, "is_reverse": true}} | 21,609 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = y + 4; f = y + 17; g = p + 15; o = g + 7; d = m + 2; b = w + 11; z = o + 19; h = z + 4; w = d + 13; y = 6; x = b + 17; p = j + 16; m = f + 9. If y = 6, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = o + 19 to h, which gives h = o + 23.\n2. Substitute o = g + 7 to h, which gives h = g + 30.\n3. Substitute g = p + 15 to h, which gives h = p + 45.\n4. Substitute p = j + 16 to h, which gives h = j + 61.\n5. Substitute j = y + 4 to h, which gives h = y + 65.\n6. Substitute y = 6 to h, which gives h = 71.\n\nThus, the final answer is h = \\boxed{71}.",
"index": 21609,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = y + 4; f = y + 17; g = p + 15; o = g + 7; d = m + 2; b = w + 11; z = o + 19; h = z + 4; w = d + 13; y = 6; x = b + 17; p = j + 16; m = f + 9. If y = 6, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"b": "y + 11", "l": "b + 1", "u": "l + 4", "s": "u + 3", "f": "s + 16", "x": "f + 12", "m": "y + 11", "g": "m + 14", "o": "g + 1", "i": "o + 7", "j": "i + 6", "p": "j + 8", "y": 10}, "premises": {"y": 10}, "target": "x"}, "answer": {"steps": [["f", "s + 16", "s + 28"], ["s", "u + 3", "u + 31"], ["u", "l + 4", "l + 35"], ["l", "b + 1", "b + 36"], ["b", "y + 11", "y + 47"], ["y", 10, "57"]], "target_var_name": "x", "target_value": 57, "value_dict": {"y": 10}, "is_reverse": true}} | 21,610 | 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 = o + 7; o = g + 1; x = f + 12; u = l + 4; m = y + 11; b = y + 11; l = b + 1; f = s + 16; s = u + 3; y = 10; g = m + 14; p = j + 8; j = i + 6. If y = 10, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = s + 16 to x, which gives x = s + 28.\n2. Substitute s = u + 3 to x, which gives x = u + 31.\n3. Substitute u = l + 4 to x, which gives x = l + 35.\n4. Substitute l = b + 1 to x, which gives x = b + 36.\n5. Substitute b = y + 11 to x, which gives x = y + 47.\n6. Substitute y = 10 to x, which gives x = 57.\n\nThus, the final answer is x = \\boxed{57}.",
"index": 21610,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = o + 7; o = g + 1; x = f + 12; u = l + 4; m = y + 11; b = y + 11; l = b + 1; f = s + 16; s = u + 3; y = 10; g = m + 14; p = j + 8; j = i + 6. If y = 10, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"h": "c + 2", "n": "h + 5", "q": "n + 10", "k": "q + 1", "o": "k + 11", "g": "o + 18", "i": "c + 14", "w": "i + 19", "x": "w + 8", "v": "x + 18", "b": "v + 14", "e": "b + 4", "c": 14}, "premises": {"c": 14}, "target": "g"}, "answer": {"steps": [["o", "k + 11", "k + 29"], ["k", "q + 1", "q + 30"], ["q", "n + 10", "n + 40"], ["n", "h + 5", "h + 45"], ["h", "c + 2", "c + 47"], ["c", 14, "61"]], "target_var_name": "g", "target_value": 61, "value_dict": {"c": 14}, "is_reverse": true}} | 21,611 | 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 = h + 5; q = n + 10; i = c + 14; k = q + 1; w = i + 19; x = w + 8; v = x + 18; o = k + 11; g = o + 18; h = c + 2; e = b + 4; b = v + 14; c = 14. If c = 14, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = k + 11 to g, which gives g = k + 29.\n2. Substitute k = q + 1 to g, which gives g = q + 30.\n3. Substitute q = n + 10 to g, which gives g = n + 40.\n4. Substitute n = h + 5 to g, which gives g = h + 45.\n5. Substitute h = c + 2 to g, which gives g = c + 47.\n6. Substitute c = 14 to g, which gives g = 61.\n\nThus, the final answer is g = \\boxed{61}.",
"index": 21611,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = h + 5; q = n + 10; i = c + 14; k = q + 1; w = i + 19; x = w + 8; v = x + 18; o = k + 11; g = o + 18; h = c + 2; e = b + 4; b = v + 14; c = 14. If c = 14, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"h": "v + 14", "t": "h + 4", "r": "t + 6", "a": "r + 19", "q": "a + 6", "j": "q + 2", "x": "v + 11", "w": "x + 20", "p": "w + 16", "f": "p + 13", "s": "f + 20", "y": "s + 16", "v": 2}, "premises": {"v": 2}, "target": "j"}, "answer": {"steps": [["q", "a + 6", "a + 8"], ["a", "r + 19", "r + 27"], ["r", "t + 6", "t + 33"], ["t", "h + 4", "h + 37"], ["h", "v + 14", "v + 51"], ["v", 2, "53"]], "target_var_name": "j", "target_value": 53, "value_dict": {"v": 2}, "is_reverse": true}} | 21,612 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = v + 14; w = x + 20; y = s + 16; x = v + 11; a = r + 19; s = f + 20; p = w + 16; t = h + 4; j = q + 2; f = p + 13; v = 2; r = t + 6; q = a + 6. If v = 2, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = a + 6 to j, which gives j = a + 8.\n2. Substitute a = r + 19 to j, which gives j = r + 27.\n3. Substitute r = t + 6 to j, which gives j = t + 33.\n4. Substitute t = h + 4 to j, which gives j = h + 37.\n5. Substitute h = v + 14 to j, which gives j = v + 51.\n6. Substitute v = 2 to j, which gives j = 53.\n\nThus, the final answer is j = \\boxed{53}.",
"index": 21612,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = v + 14; w = x + 20; y = s + 16; x = v + 11; a = r + 19; s = f + 20; p = w + 16; t = h + 4; j = q + 2; f = p + 13; v = 2; r = t + 6; q = a + 6. If v = 2, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"o": "m + 12", "p": "o + 12", "s": "p + 5", "f": "s + 14", "q": "f + 20", "k": "q + 11", "e": "m + 19", "r": "e + 16", "i": "r + 4", "n": "i + 10", "u": "n + 2", "a": "u + 14", "m": 7}, "premises": {"m": 7}, "target": "k"}, "answer": {"steps": [["q", "f + 20", "f + 31"], ["f", "s + 14", "s + 45"], ["s", "p + 5", "p + 50"], ["p", "o + 12", "o + 62"], ["o", "m + 12", "m + 74"], ["m", 7, "81"]], "target_var_name": "k", "target_value": 81, "value_dict": {"m": 7}, "is_reverse": true}} | 21,613 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = m + 19; f = s + 14; a = u + 14; p = o + 12; m = 7; o = m + 12; s = p + 5; q = f + 20; k = q + 11; u = n + 2; r = e + 16; n = i + 10; i = r + 4. If m = 7, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = f + 20 to k, which gives k = f + 31.\n2. Substitute f = s + 14 to k, which gives k = s + 45.\n3. Substitute s = p + 5 to k, which gives k = p + 50.\n4. Substitute p = o + 12 to k, which gives k = o + 62.\n5. Substitute o = m + 12 to k, which gives k = m + 74.\n6. Substitute m = 7 to k, which gives k = 81.\n\nThus, the final answer is k = \\boxed{81}.",
"index": 21613,
"question": "Consider a system of variables where each variable is defined as follows: e = m + 19; f = s + 14; a = u + 14; p = o + 12; m = 7; o = m + 12; s = p + 5; q = f + 20; k = q + 11; u = n + 2; r = e + 16; n = i + 10; i = r + 4. If m = 7, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"k": "q + 9", "h": "k + 3", "z": "h + 3", "m": "z + 3", "g": "m + 11", "i": "g + 1", "x": "q + 1", "w": "x + 10", "b": "w + 8", "s": "b + 10", "d": "s + 6", "p": "d + 7", "q": 2}, "premises": {"q": 2}, "target": "i"}, "answer": {"steps": [["g", "m + 11", "m + 12"], ["m", "z + 3", "z + 15"], ["z", "h + 3", "h + 18"], ["h", "k + 3", "k + 21"], ["k", "q + 9", "q + 30"], ["q", 2, "32"]], "target_var_name": "i", "target_value": 32, "value_dict": {"q": 2}, "is_reverse": true}} | 21,614 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = k + 3; k = q + 9; w = x + 10; q = 2; b = w + 8; i = g + 1; m = z + 3; p = d + 7; d = s + 6; z = h + 3; x = q + 1; g = m + 11; s = b + 10. If q = 2, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 32,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = m + 11 to i, which gives i = m + 12.\n2. Substitute m = z + 3 to i, which gives i = z + 15.\n3. Substitute z = h + 3 to i, which gives i = h + 18.\n4. Substitute h = k + 3 to i, which gives i = k + 21.\n5. Substitute k = q + 9 to i, which gives i = q + 30.\n6. Substitute q = 2 to i, which gives i = 32.\n\nThus, the final answer is i = \\boxed{32}.",
"index": 21614,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = k + 3; k = q + 9; w = x + 10; q = 2; b = w + 8; i = g + 1; m = z + 3; p = d + 7; d = s + 6; z = h + 3; x = q + 1; g = m + 11; s = b + 10. If q = 2, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"q": "i + 17", "f": "q + 20", "m": "f + 11", "j": "m + 16", "l": "j + 3", "g": "l + 6", "w": "i + 8", "o": "w + 2", "t": "o + 20", "s": "t + 7", "p": "s + 19", "a": "p + 8", "i": 16}, "premises": {"i": 16}, "target": "g"}, "answer": {"steps": [["l", "j + 3", "j + 9"], ["j", "m + 16", "m + 25"], ["m", "f + 11", "f + 36"], ["f", "q + 20", "q + 56"], ["q", "i + 17", "i + 73"], ["i", 16, "89"]], "target_var_name": "g", "target_value": 89, "value_dict": {"i": 16}, "is_reverse": true}} | 21,615 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = o + 20; s = t + 7; g = l + 6; a = p + 8; w = i + 8; l = j + 3; q = i + 17; f = q + 20; p = s + 19; j = m + 16; i = 16; m = f + 11; o = w + 2. If i = 16, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = j + 3 to g, which gives g = j + 9.\n2. Substitute j = m + 16 to g, which gives g = m + 25.\n3. Substitute m = f + 11 to g, which gives g = f + 36.\n4. Substitute f = q + 20 to g, which gives g = q + 56.\n5. Substitute q = i + 17 to g, which gives g = i + 73.\n6. Substitute i = 16 to g, which gives g = 89.\n\nThus, the final answer is g = \\boxed{89}.",
"index": 21615,
"question": "Consider a system of variables where each variable is defined as follows: t = o + 20; s = t + 7; g = l + 6; a = p + 8; w = i + 8; l = j + 3; q = i + 17; f = q + 20; p = s + 19; j = m + 16; i = 16; m = f + 11; o = w + 2. If i = 16, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"b": "y + 1", "g": "b + 6", "z": "g + 18", "q": "z + 13", "l": "q + 10", "t": "l + 17", "k": "y + 17", "w": "k + 3", "h": "w + 11", "e": "h + 4", "a": "e + 9", "m": "a + 20", "y": 9}, "premises": {"y": 9}, "target": "t"}, "answer": {"steps": [["l", "q + 10", "q + 27"], ["q", "z + 13", "z + 40"], ["z", "g + 18", "g + 58"], ["g", "b + 6", "b + 64"], ["b", "y + 1", "y + 65"], ["y", 9, "74"]], "target_var_name": "t", "target_value": 74, "value_dict": {"y": 9}, "is_reverse": true}} | 21,616 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = k + 3; q = z + 13; z = g + 18; a = e + 9; k = y + 17; g = b + 6; l = q + 10; b = y + 1; m = a + 20; h = w + 11; e = h + 4; t = l + 17; y = 9. If y = 9, 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 l = q + 10 to t, which gives t = q + 27.\n2. Substitute q = z + 13 to t, which gives t = z + 40.\n3. Substitute z = g + 18 to t, which gives t = g + 58.\n4. Substitute g = b + 6 to t, which gives t = b + 64.\n5. Substitute b = y + 1 to t, which gives t = y + 65.\n6. Substitute y = 9 to t, which gives t = 74.\n\nThus, the final answer is t = \\boxed{74}.",
"index": 21616,
"question": "Consider a system of variables where each variable is defined as follows: w = k + 3; q = z + 13; z = g + 18; a = e + 9; k = y + 17; g = b + 6; l = q + 10; b = y + 1; m = a + 20; h = w + 11; e = h + 4; t = l + 17; y = 9. If y = 9, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"y": "h + 6", "m": "y + 13", "n": "m + 18", "u": "n + 1", "e": "u + 8", "b": "e + 6", "f": "h + 4", "o": "f + 14", "i": "o + 4", "t": "i + 15", "k": "t + 14", "z": "k + 3", "h": 1}, "premises": {"h": 1}, "target": "b"}, "answer": {"steps": [["e", "u + 8", "u + 14"], ["u", "n + 1", "n + 15"], ["n", "m + 18", "m + 33"], ["m", "y + 13", "y + 46"], ["y", "h + 6", "h + 52"], ["h", 1, "53"]], "target_var_name": "b", "target_value": 53, "value_dict": {"h": 1}, "is_reverse": true}} | 21,617 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = n + 1; o = f + 14; z = k + 3; i = o + 4; b = e + 6; k = t + 14; y = h + 6; t = i + 15; f = h + 4; e = u + 8; m = y + 13; h = 1; n = m + 18. If h = 1, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = u + 8 to b, which gives b = u + 14.\n2. Substitute u = n + 1 to b, which gives b = n + 15.\n3. Substitute n = m + 18 to b, which gives b = m + 33.\n4. Substitute m = y + 13 to b, which gives b = y + 46.\n5. Substitute y = h + 6 to b, which gives b = h + 52.\n6. Substitute h = 1 to b, which gives b = 53.\n\nThus, the final answer is b = \\boxed{53}.",
"index": 21617,
"question": "Consider a system of variables where each variable is defined as follows: u = n + 1; o = f + 14; z = k + 3; i = o + 4; b = e + 6; k = t + 14; y = h + 6; t = i + 15; f = h + 4; e = u + 8; m = y + 13; h = 1; n = m + 18. If h = 1, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"a": "h + 10", "g": "a + 12", "i": "g + 5", "v": "i + 15", "y": "v + 5", "s": "y + 14", "l": "h + 17", "x": "l + 9", "r": "x + 1", "e": "r + 6", "c": "e + 5", "d": "c + 3", "h": 12}, "premises": {"h": 12}, "target": "s"}, "answer": {"steps": [["y", "v + 5", "v + 19"], ["v", "i + 15", "i + 34"], ["i", "g + 5", "g + 39"], ["g", "a + 12", "a + 51"], ["a", "h + 10", "h + 61"], ["h", 12, "73"]], "target_var_name": "s", "target_value": 73, "value_dict": {"h": 12}, "is_reverse": true}} | 21,618 | 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 = e + 5; h = 12; a = h + 10; g = a + 12; i = g + 5; d = c + 3; l = h + 17; s = y + 14; e = r + 6; r = x + 1; y = v + 5; x = l + 9; v = i + 15. If h = 12, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = v + 5 to s, which gives s = v + 19.\n2. Substitute v = i + 15 to s, which gives s = i + 34.\n3. Substitute i = g + 5 to s, which gives s = g + 39.\n4. Substitute g = a + 12 to s, which gives s = a + 51.\n5. Substitute a = h + 10 to s, which gives s = h + 61.\n6. Substitute h = 12 to s, which gives s = 73.\n\nThus, the final answer is s = \\boxed{73}.",
"index": 21618,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = e + 5; h = 12; a = h + 10; g = a + 12; i = g + 5; d = c + 3; l = h + 17; s = y + 14; e = r + 6; r = x + 1; y = v + 5; x = l + 9; v = i + 15. If h = 12, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"y": "d + 8", "l": "y + 3", "n": "l + 5", "g": "n + 8", "o": "g + 14", "m": "o + 8", "z": "d + 7", "q": "z + 10", "j": "q + 7", "t": "j + 1", "u": "t + 16", "s": "u + 19", "d": 11}, "premises": {"d": 11}, "target": "m"}, "answer": {"steps": [["o", "g + 14", "g + 22"], ["g", "n + 8", "n + 30"], ["n", "l + 5", "l + 35"], ["l", "y + 3", "y + 38"], ["y", "d + 8", "d + 46"], ["d", 11, "57"]], "target_var_name": "m", "target_value": 57, "value_dict": {"d": 11}, "is_reverse": true}} | 21,619 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = j + 1; q = z + 10; u = t + 16; m = o + 8; g = n + 8; d = 11; l = y + 3; n = l + 5; j = q + 7; y = d + 8; s = u + 19; o = g + 14; z = d + 7. If d = 11, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = g + 14 to m, which gives m = g + 22.\n2. Substitute g = n + 8 to m, which gives m = n + 30.\n3. Substitute n = l + 5 to m, which gives m = l + 35.\n4. Substitute l = y + 3 to m, which gives m = y + 38.\n5. Substitute y = d + 8 to m, which gives m = d + 46.\n6. Substitute d = 11 to m, which gives m = 57.\n\nThus, the final answer is m = \\boxed{57}.",
"index": 21619,
"question": "Consider a system of variables where each variable is defined as follows: t = j + 1; q = z + 10; u = t + 16; m = o + 8; g = n + 8; d = 11; l = y + 3; n = l + 5; j = q + 7; y = d + 8; s = u + 19; o = g + 14; z = d + 7. If d = 11, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"s": "x + 9", "w": "s + 19", "q": "w + 13", "v": "q + 8", "n": "v + 7", "h": "n + 9", "i": "x + 5", "z": "i + 6", "o": "z + 13", "f": "o + 10", "e": "f + 1", "m": "e + 6", "x": 11}, "premises": {"x": 11}, "target": "h"}, "answer": {"steps": [["n", "v + 7", "v + 16"], ["v", "q + 8", "q + 24"], ["q", "w + 13", "w + 37"], ["w", "s + 19", "s + 56"], ["s", "x + 9", "x + 65"], ["x", 11, "76"]], "target_var_name": "h", "target_value": 76, "value_dict": {"x": 11}, "is_reverse": true}} | 21,620 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = n + 9; q = w + 13; s = x + 9; m = e + 6; n = v + 7; i = x + 5; z = i + 6; o = z + 13; v = q + 8; x = 11; f = o + 10; w = s + 19; e = f + 1. If x = 11, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = v + 7 to h, which gives h = v + 16.\n2. Substitute v = q + 8 to h, which gives h = q + 24.\n3. Substitute q = w + 13 to h, which gives h = w + 37.\n4. Substitute w = s + 19 to h, which gives h = s + 56.\n5. Substitute s = x + 9 to h, which gives h = x + 65.\n6. Substitute x = 11 to h, which gives h = 76.\n\nThus, the final answer is h = \\boxed{76}.",
"index": 21620,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = n + 9; q = w + 13; s = x + 9; m = e + 6; n = v + 7; i = x + 5; z = i + 6; o = z + 13; v = q + 8; x = 11; f = o + 10; w = s + 19; e = f + 1. If x = 11, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"o": "r + 18", "n": "o + 18", "w": "n + 20", "e": "w + 14", "f": "e + 15", "d": "f + 17", "k": "r + 7", "l": "k + 6", "t": "l + 9", "h": "t + 13", "y": "h + 18", "a": "y + 10", "r": 20}, "premises": {"r": 20}, "target": "d"}, "answer": {"steps": [["f", "e + 15", "e + 32"], ["e", "w + 14", "w + 46"], ["w", "n + 20", "n + 66"], ["n", "o + 18", "o + 84"], ["o", "r + 18", "r + 102"], ["r", 20, "122"]], "target_var_name": "d", "target_value": 122, "value_dict": {"r": 20}, "is_reverse": true}} | 21,621 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = e + 15; y = h + 18; o = r + 18; l = k + 6; h = t + 13; e = w + 14; n = o + 18; w = n + 20; t = l + 9; r = 20; a = y + 10; d = f + 17; k = r + 7. If r = 20, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 122,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = e + 15 to d, which gives d = e + 32.\n2. Substitute e = w + 14 to d, which gives d = w + 46.\n3. Substitute w = n + 20 to d, which gives d = n + 66.\n4. Substitute n = o + 18 to d, which gives d = o + 84.\n5. Substitute o = r + 18 to d, which gives d = r + 102.\n6. Substitute r = 20 to d, which gives d = 122.\n\nThus, the final answer is d = \\boxed{122}.",
"index": 21621,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = e + 15; y = h + 18; o = r + 18; l = k + 6; h = t + 13; e = w + 14; n = o + 18; w = n + 20; t = l + 9; r = 20; a = y + 10; d = f + 17; k = r + 7. If r = 20, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"v": "l + 14", "s": "v + 13", "x": "s + 12", "j": "x + 5", "i": "j + 12", "e": "i + 4", "t": "l + 1", "z": "t + 13", "o": "z + 12", "u": "o + 5", "a": "u + 16", "n": "a + 12", "l": 12}, "premises": {"l": 12}, "target": "e"}, "answer": {"steps": [["i", "j + 12", "j + 16"], ["j", "x + 5", "x + 21"], ["x", "s + 12", "s + 33"], ["s", "v + 13", "v + 46"], ["v", "l + 14", "l + 60"], ["l", 12, "72"]], "target_var_name": "e", "target_value": 72, "value_dict": {"l": 12}, "is_reverse": true}} | 21,622 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = x + 5; e = i + 4; s = v + 13; l = 12; u = o + 5; o = z + 12; i = j + 12; t = l + 1; n = a + 12; v = l + 14; z = t + 13; a = u + 16; x = s + 12. If l = 12, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = j + 12 to e, which gives e = j + 16.\n2. Substitute j = x + 5 to e, which gives e = x + 21.\n3. Substitute x = s + 12 to e, which gives e = s + 33.\n4. Substitute s = v + 13 to e, which gives e = v + 46.\n5. Substitute v = l + 14 to e, which gives e = l + 60.\n6. Substitute l = 12 to e, which gives e = 72.\n\nThus, the final answer is e = \\boxed{72}.",
"index": 21622,
"question": "Consider a system of variables where each variable is defined as follows: j = x + 5; e = i + 4; s = v + 13; l = 12; u = o + 5; o = z + 12; i = j + 12; t = l + 1; n = a + 12; v = l + 14; z = t + 13; a = u + 16; x = s + 12. If l = 12, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"s": "p + 15", "i": "s + 19", "x": "i + 8", "u": "x + 2", "z": "u + 19", "o": "z + 6", "t": "p + 15", "h": "t + 8", "k": "h + 2", "j": "k + 6", "b": "j + 4", "c": "b + 19", "p": 4}, "premises": {"p": 4}, "target": "o"}, "answer": {"steps": [["z", "u + 19", "u + 25"], ["u", "x + 2", "x + 27"], ["x", "i + 8", "i + 35"], ["i", "s + 19", "s + 54"], ["s", "p + 15", "p + 69"], ["p", 4, "73"]], "target_var_name": "o", "target_value": 73, "value_dict": {"p": 4}, "is_reverse": true}} | 21,623 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = h + 2; b = j + 4; c = b + 19; o = z + 6; h = t + 8; s = p + 15; x = i + 8; j = k + 6; t = p + 15; z = u + 19; u = x + 2; i = s + 19; p = 4. Given that p = 4, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = u + 19 to o, which gives o = u + 25.\n2. Substitute u = x + 2 to o, which gives o = x + 27.\n3. Substitute x = i + 8 to o, which gives o = i + 35.\n4. Substitute i = s + 19 to o, which gives o = s + 54.\n5. Substitute s = p + 15 to o, which gives o = p + 69.\n6. Substitute p = 4 to o, which gives o = 73.\n\nThus, the final answer is o = \\boxed{73}.",
"index": 21623,
"question": "Suppose a collection of variables is related by the following definitions: k = h + 2; b = j + 4; c = b + 19; o = z + 6; h = t + 8; s = p + 15; x = i + 8; j = k + 6; t = p + 15; z = u + 19; u = x + 2; i = s + 19; p = 4. Given that p = 4, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"s": "c + 14", "b": "s + 17", "g": "b + 3", "d": "g + 6", "a": "d + 12", "i": "a + 8", "w": "c + 16", "e": "w + 3", "p": "e + 18", "x": "p + 14", "m": "x + 2", "v": "m + 20", "c": 15}, "premises": {"c": 15}, "target": "i"}, "answer": {"steps": [["a", "d + 12", "d + 20"], ["d", "g + 6", "g + 26"], ["g", "b + 3", "b + 29"], ["b", "s + 17", "s + 46"], ["s", "c + 14", "c + 60"], ["c", 15, "75"]], "target_var_name": "i", "target_value": 75, "value_dict": {"c": 15}, "is_reverse": true}} | 21,624 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = x + 2; x = p + 14; i = a + 8; v = m + 20; p = e + 18; w = c + 16; g = b + 3; c = 15; a = d + 12; e = w + 3; b = s + 17; s = c + 14; d = g + 6. Given that c = 15, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = d + 12 to i, which gives i = d + 20.\n2. Substitute d = g + 6 to i, which gives i = g + 26.\n3. Substitute g = b + 3 to i, which gives i = b + 29.\n4. Substitute b = s + 17 to i, which gives i = s + 46.\n5. Substitute s = c + 14 to i, which gives i = c + 60.\n6. Substitute c = 15 to i, which gives i = 75.\n\nThus, the final answer is i = \\boxed{75}.",
"index": 21624,
"question": "Suppose a collection of variables is related by the following definitions: m = x + 2; x = p + 14; i = a + 8; v = m + 20; p = e + 18; w = c + 16; g = b + 3; c = 15; a = d + 12; e = w + 3; b = s + 17; s = c + 14; d = g + 6. Given that c = 15, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"j": "n + 12", "d": "j + 19", "a": "d + 20", "q": "a + 13", "y": "q + 6", "k": "y + 7", "g": "n + 2", "s": "g + 13", "z": "s + 7", "h": "z + 4", "b": "h + 6", "v": "b + 7", "n": 4}, "premises": {"n": 4}, "target": "k"}, "answer": {"steps": [["y", "q + 6", "q + 13"], ["q", "a + 13", "a + 26"], ["a", "d + 20", "d + 46"], ["d", "j + 19", "j + 65"], ["j", "n + 12", "n + 77"], ["n", 4, "81"]], "target_var_name": "k", "target_value": 81, "value_dict": {"n": 4}, "is_reverse": true}} | 21,625 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = q + 6; d = j + 19; b = h + 6; z = s + 7; k = y + 7; n = 4; h = z + 4; j = n + 12; q = a + 13; a = d + 20; s = g + 13; g = n + 2; v = b + 7. Given that n = 4, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = q + 6 to k, which gives k = q + 13.\n2. Substitute q = a + 13 to k, which gives k = a + 26.\n3. Substitute a = d + 20 to k, which gives k = d + 46.\n4. Substitute d = j + 19 to k, which gives k = j + 65.\n5. Substitute j = n + 12 to k, which gives k = n + 77.\n6. Substitute n = 4 to k, which gives k = 81.\n\nThus, the final answer is k = \\boxed{81}.",
"index": 21625,
"question": "Suppose a collection of variables is related by the following definitions: y = q + 6; d = j + 19; b = h + 6; z = s + 7; k = y + 7; n = 4; h = z + 4; j = n + 12; q = a + 13; a = d + 20; s = g + 13; g = n + 2; v = b + 7. Given that n = 4, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"h": "y + 7", "l": "h + 3", "n": "l + 10", "t": "n + 16", "o": "t + 5", "a": "o + 9", "s": "y + 3", "x": "s + 7", "e": "x + 16", "f": "e + 14", "i": "f + 1", "d": "i + 7", "y": 7}, "premises": {"y": 7}, "target": "a"}, "answer": {"steps": [["o", "t + 5", "t + 14"], ["t", "n + 16", "n + 30"], ["n", "l + 10", "l + 40"], ["l", "h + 3", "h + 43"], ["h", "y + 7", "y + 50"], ["y", 7, "57"]], "target_var_name": "a", "target_value": 57, "value_dict": {"y": 7}, "is_reverse": true}} | 21,626 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = i + 7; y = 7; n = l + 10; x = s + 7; t = n + 16; h = y + 7; o = t + 5; e = x + 16; l = h + 3; s = y + 3; i = f + 1; a = o + 9; f = e + 14. Given that y = 7, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = t + 5 to a, which gives a = t + 14.\n2. Substitute t = n + 16 to a, which gives a = n + 30.\n3. Substitute n = l + 10 to a, which gives a = l + 40.\n4. Substitute l = h + 3 to a, which gives a = h + 43.\n5. Substitute h = y + 7 to a, which gives a = y + 50.\n6. Substitute y = 7 to a, which gives a = 57.\n\nThus, the final answer is a = \\boxed{57}.",
"index": 21626,
"question": "Suppose a collection of variables is related by the following definitions: d = i + 7; y = 7; n = l + 10; x = s + 7; t = n + 16; h = y + 7; o = t + 5; e = x + 16; l = h + 3; s = y + 3; i = f + 1; a = o + 9; f = e + 14. Given that y = 7, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"f": "g + 19", "u": "f + 4", "v": "u + 19", "m": "v + 20", "x": "m + 6", "j": "x + 14", "s": "g + 11", "b": "s + 11", "c": "b + 16", "z": "c + 20", "h": "z + 20", "a": "h + 8", "g": 10}, "premises": {"g": 10}, "target": "j"}, "answer": {"steps": [["x", "m + 6", "m + 20"], ["m", "v + 20", "v + 40"], ["v", "u + 19", "u + 59"], ["u", "f + 4", "f + 63"], ["f", "g + 19", "g + 82"], ["g", 10, "92"]], "target_var_name": "j", "target_value": 92, "value_dict": {"g": 10}, "is_reverse": true}} | 21,627 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = c + 20; v = u + 19; x = m + 6; h = z + 20; u = f + 4; b = s + 11; f = g + 19; s = g + 11; c = b + 16; j = x + 14; g = 10; m = v + 20; a = h + 8. Given that g = 10, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = m + 6 to j, which gives j = m + 20.\n2. Substitute m = v + 20 to j, which gives j = v + 40.\n3. Substitute v = u + 19 to j, which gives j = u + 59.\n4. Substitute u = f + 4 to j, which gives j = f + 63.\n5. Substitute f = g + 19 to j, which gives j = g + 82.\n6. Substitute g = 10 to j, which gives j = 92.\n\nThus, the final answer is j = \\boxed{92}.",
"index": 21627,
"question": "Suppose a collection of variables is related by the following definitions: z = c + 20; v = u + 19; x = m + 6; h = z + 20; u = f + 4; b = s + 11; f = g + 19; s = g + 11; c = b + 16; j = x + 14; g = 10; m = v + 20; a = h + 8. Given that g = 10, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"l": "s + 8", "y": "l + 9", "k": "y + 15", "a": "k + 12", "x": "a + 20", "o": "x + 2", "n": "s + 5", "r": "n + 16", "z": "r + 18", "u": "z + 8", "b": "u + 5", "e": "b + 19", "s": 17}, "premises": {"s": 17}, "target": "o"}, "answer": {"steps": [["x", "a + 20", "a + 22"], ["a", "k + 12", "k + 34"], ["k", "y + 15", "y + 49"], ["y", "l + 9", "l + 58"], ["l", "s + 8", "s + 66"], ["s", 17, "83"]], "target_var_name": "o", "target_value": 83, "value_dict": {"s": 17}, "is_reverse": true}} | 21,628 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = x + 2; e = b + 19; u = z + 8; b = u + 5; s = 17; x = a + 20; n = s + 5; l = s + 8; r = n + 16; a = k + 12; z = r + 18; k = y + 15; y = l + 9. If s = 17, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = a + 20 to o, which gives o = a + 22.\n2. Substitute a = k + 12 to o, which gives o = k + 34.\n3. Substitute k = y + 15 to o, which gives o = y + 49.\n4. Substitute y = l + 9 to o, which gives o = l + 58.\n5. Substitute l = s + 8 to o, which gives o = s + 66.\n6. Substitute s = 17 to o, which gives o = 83.\n\nThus, the final answer is o = \\boxed{83}.",
"index": 21628,
"question": "Consider a system of variables where each variable is defined as follows: o = x + 2; e = b + 19; u = z + 8; b = u + 5; s = 17; x = a + 20; n = s + 5; l = s + 8; r = n + 16; a = k + 12; z = r + 18; k = y + 15; y = l + 9. If s = 17, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"x": "s + 16", "i": "x + 16", "q": "i + 11", "l": "q + 8", "h": "l + 14", "c": "h + 5", "b": "s + 18", "f": "b + 8", "t": "f + 4", "o": "t + 12", "e": "o + 5", "z": "e + 8", "s": 18}, "premises": {"s": 18}, "target": "c"}, "answer": {"steps": [["h", "l + 14", "l + 19"], ["l", "q + 8", "q + 27"], ["q", "i + 11", "i + 38"], ["i", "x + 16", "x + 54"], ["x", "s + 16", "s + 70"], ["s", 18, "88"]], "target_var_name": "c", "target_value": 88, "value_dict": {"s": 18}, "is_reverse": true}} | 21,629 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = o + 5; s = 18; b = s + 18; h = l + 14; l = q + 8; o = t + 12; z = e + 8; x = s + 16; t = f + 4; f = b + 8; i = x + 16; c = h + 5; q = i + 11. If s = 18, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = l + 14 to c, which gives c = l + 19.\n2. Substitute l = q + 8 to c, which gives c = q + 27.\n3. Substitute q = i + 11 to c, which gives c = i + 38.\n4. Substitute i = x + 16 to c, which gives c = x + 54.\n5. Substitute x = s + 16 to c, which gives c = s + 70.\n6. Substitute s = 18 to c, which gives c = 88.\n\nThus, the final answer is c = \\boxed{88}.",
"index": 21629,
"question": "Consider a system of variables where each variable is defined as follows: e = o + 5; s = 18; b = s + 18; h = l + 14; l = q + 8; o = t + 12; z = e + 8; x = s + 16; t = f + 4; f = b + 8; i = x + 16; c = h + 5; q = i + 11. If s = 18, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"a": "z + 7", "n": "a + 16", "f": "n + 7", "b": "f + 14", "j": "b + 5", "x": "j + 10", "e": "z + 20", "y": "e + 15", "h": "y + 11", "w": "h + 18", "q": "w + 4", "m": "q + 13", "z": 13}, "premises": {"z": 13}, "target": "x"}, "answer": {"steps": [["j", "b + 5", "b + 15"], ["b", "f + 14", "f + 29"], ["f", "n + 7", "n + 36"], ["n", "a + 16", "a + 52"], ["a", "z + 7", "z + 59"], ["z", 13, "72"]], "target_var_name": "x", "target_value": 72, "value_dict": {"z": 13}, "is_reverse": true}} | 21,630 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = e + 15; m = q + 13; h = y + 11; b = f + 14; z = 13; w = h + 18; a = z + 7; x = j + 10; n = a + 16; j = b + 5; q = w + 4; e = z + 20; f = n + 7. Given that z = 13, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = b + 5 to x, which gives x = b + 15.\n2. Substitute b = f + 14 to x, which gives x = f + 29.\n3. Substitute f = n + 7 to x, which gives x = n + 36.\n4. Substitute n = a + 16 to x, which gives x = a + 52.\n5. Substitute a = z + 7 to x, which gives x = z + 59.\n6. Substitute z = 13 to x, which gives x = 72.\n\nThus, the final answer is x = \\boxed{72}.",
"index": 21630,
"question": "Suppose a collection of variables is related by the following definitions: y = e + 15; m = q + 13; h = y + 11; b = f + 14; z = 13; w = h + 18; a = z + 7; x = j + 10; n = a + 16; j = b + 5; q = w + 4; e = z + 20; f = n + 7. Given that z = 13, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"b": "p + 6", "f": "b + 2", "v": "f + 9", "s": "v + 12", "j": "s + 13", "c": "j + 17", "k": "p + 20", "d": "k + 2", "o": "d + 3", "i": "o + 17", "x": "i + 6", "h": "x + 20", "p": 6}, "premises": {"p": 6}, "target": "c"}, "answer": {"steps": [["j", "s + 13", "s + 30"], ["s", "v + 12", "v + 42"], ["v", "f + 9", "f + 51"], ["f", "b + 2", "b + 53"], ["b", "p + 6", "p + 59"], ["p", 6, "65"]], "target_var_name": "c", "target_value": 65, "value_dict": {"p": 6}, "is_reverse": true}} | 21,631 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = j + 17; p = 6; f = b + 2; s = v + 12; b = p + 6; o = d + 3; i = o + 17; h = x + 20; j = s + 13; d = k + 2; k = p + 20; x = i + 6; v = f + 9. Given that p = 6, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = s + 13 to c, which gives c = s + 30.\n2. Substitute s = v + 12 to c, which gives c = v + 42.\n3. Substitute v = f + 9 to c, which gives c = f + 51.\n4. Substitute f = b + 2 to c, which gives c = b + 53.\n5. Substitute b = p + 6 to c, which gives c = p + 59.\n6. Substitute p = 6 to c, which gives c = 65.\n\nThus, the final answer is c = \\boxed{65}.",
"index": 21631,
"question": "Suppose a collection of variables is related by the following definitions: c = j + 17; p = 6; f = b + 2; s = v + 12; b = p + 6; o = d + 3; i = o + 17; h = x + 20; j = s + 13; d = k + 2; k = p + 20; x = i + 6; v = f + 9. Given that p = 6, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"k": "c + 5", "i": "k + 4", "l": "i + 4", "f": "l + 11", "a": "f + 15", "x": "a + 16", "w": "c + 1", "s": "w + 14", "g": "s + 18", "y": "g + 5", "m": "y + 11", "n": "m + 19", "c": 10}, "premises": {"c": 10}, "target": "x"}, "answer": {"steps": [["a", "f + 15", "f + 31"], ["f", "l + 11", "l + 42"], ["l", "i + 4", "i + 46"], ["i", "k + 4", "k + 50"], ["k", "c + 5", "c + 55"], ["c", 10, "65"]], "target_var_name": "x", "target_value": 65, "value_dict": {"c": 10}, "is_reverse": true}} | 21,632 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = c + 5; n = m + 19; s = w + 14; f = l + 11; i = k + 4; a = f + 15; c = 10; g = s + 18; l = i + 4; x = a + 16; y = g + 5; m = y + 11; w = c + 1. Given that c = 10, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = f + 15 to x, which gives x = f + 31.\n2. Substitute f = l + 11 to x, which gives x = l + 42.\n3. Substitute l = i + 4 to x, which gives x = i + 46.\n4. Substitute i = k + 4 to x, which gives x = k + 50.\n5. Substitute k = c + 5 to x, which gives x = c + 55.\n6. Substitute c = 10 to x, which gives x = 65.\n\nThus, the final answer is x = \\boxed{65}.",
"index": 21632,
"question": "Suppose a collection of variables is related by the following definitions: k = c + 5; n = m + 19; s = w + 14; f = l + 11; i = k + 4; a = f + 15; c = 10; g = s + 18; l = i + 4; x = a + 16; y = g + 5; m = y + 11; w = c + 1. Given that c = 10, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"q": "s + 5", "v": "q + 1", "c": "v + 8", "u": "c + 17", "r": "u + 13", "y": "r + 2", "z": "s + 19", "x": "z + 16", "n": "x + 4", "t": "n + 2", "f": "t + 8", "g": "f + 16", "s": 2}, "premises": {"s": 2}, "target": "y"}, "answer": {"steps": [["r", "u + 13", "u + 15"], ["u", "c + 17", "c + 32"], ["c", "v + 8", "v + 40"], ["v", "q + 1", "q + 41"], ["q", "s + 5", "s + 46"], ["s", 2, "48"]], "target_var_name": "y", "target_value": 48, "value_dict": {"s": 2}, "is_reverse": true}} | 21,633 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = u + 13; u = c + 17; f = t + 8; q = s + 5; v = q + 1; x = z + 16; c = v + 8; t = n + 2; z = s + 19; s = 2; n = x + 4; y = r + 2; g = f + 16. If s = 2, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = u + 13 to y, which gives y = u + 15.\n2. Substitute u = c + 17 to y, which gives y = c + 32.\n3. Substitute c = v + 8 to y, which gives y = v + 40.\n4. Substitute v = q + 1 to y, which gives y = q + 41.\n5. Substitute q = s + 5 to y, which gives y = s + 46.\n6. Substitute s = 2 to y, which gives y = 48.\n\nThus, the final answer is y = \\boxed{48}.",
"index": 21633,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = u + 13; u = c + 17; f = t + 8; q = s + 5; v = q + 1; x = z + 16; c = v + 8; t = n + 2; z = s + 19; s = 2; n = x + 4; y = r + 2; g = f + 16. If s = 2, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"e": "p + 7", "i": "e + 20", "x": "i + 9", "q": "x + 7", "d": "q + 15", "f": "d + 1", "b": "p + 18", "v": "b + 3", "w": "v + 11", "s": "w + 3", "n": "s + 13", "u": "n + 16", "p": 17}, "premises": {"p": 17}, "target": "f"}, "answer": {"steps": [["d", "q + 15", "q + 16"], ["q", "x + 7", "x + 23"], ["x", "i + 9", "i + 32"], ["i", "e + 20", "e + 52"], ["e", "p + 7", "p + 59"], ["p", 17, "76"]], "target_var_name": "f", "target_value": 76, "value_dict": {"p": 17}, "is_reverse": true}} | 21,634 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = s + 13; f = d + 1; e = p + 7; b = p + 18; p = 17; i = e + 20; s = w + 3; q = x + 7; v = b + 3; x = i + 9; d = q + 15; u = n + 16; w = v + 11. Given that p = 17, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = q + 15 to f, which gives f = q + 16.\n2. Substitute q = x + 7 to f, which gives f = x + 23.\n3. Substitute x = i + 9 to f, which gives f = i + 32.\n4. Substitute i = e + 20 to f, which gives f = e + 52.\n5. Substitute e = p + 7 to f, which gives f = p + 59.\n6. Substitute p = 17 to f, which gives f = 76.\n\nThus, the final answer is f = \\boxed{76}.",
"index": 21634,
"question": "Suppose a collection of variables is related by the following definitions: n = s + 13; f = d + 1; e = p + 7; b = p + 18; p = 17; i = e + 20; s = w + 3; q = x + 7; v = b + 3; x = i + 9; d = q + 15; u = n + 16; w = v + 11. Given that p = 17, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"b": "e + 19", "l": "b + 14", "i": "l + 11", "f": "i + 14", "c": "f + 1", "h": "c + 20", "x": "e + 2", "q": "x + 20", "z": "q + 15", "g": "z + 12", "t": "g + 15", "a": "t + 4", "e": 17}, "premises": {"e": 17}, "target": "h"}, "answer": {"steps": [["c", "f + 1", "f + 21"], ["f", "i + 14", "i + 35"], ["i", "l + 11", "l + 46"], ["l", "b + 14", "b + 60"], ["b", "e + 19", "e + 79"], ["e", 17, "96"]], "target_var_name": "h", "target_value": 96, "value_dict": {"e": 17}, "is_reverse": true}} | 21,635 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = q + 15; i = l + 11; e = 17; c = f + 1; x = e + 2; b = e + 19; q = x + 20; h = c + 20; g = z + 12; l = b + 14; a = t + 4; t = g + 15; f = i + 14. If e = 17, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = f + 1 to h, which gives h = f + 21.\n2. Substitute f = i + 14 to h, which gives h = i + 35.\n3. Substitute i = l + 11 to h, which gives h = l + 46.\n4. Substitute l = b + 14 to h, which gives h = b + 60.\n5. Substitute b = e + 19 to h, which gives h = e + 79.\n6. Substitute e = 17 to h, which gives h = 96.\n\nThus, the final answer is h = \\boxed{96}.",
"index": 21635,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = q + 15; i = l + 11; e = 17; c = f + 1; x = e + 2; b = e + 19; q = x + 20; h = c + 20; g = z + 12; l = b + 14; a = t + 4; t = g + 15; f = i + 14. If e = 17, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"f": "q + 19", "h": "f + 9", "j": "h + 3", "s": "j + 1", "k": "s + 20", "l": "k + 18", "z": "q + 13", "r": "z + 2", "d": "r + 17", "c": "d + 13", "t": "c + 14", "o": "t + 5", "q": 4}, "premises": {"q": 4}, "target": "l"}, "answer": {"steps": [["k", "s + 20", "s + 38"], ["s", "j + 1", "j + 39"], ["j", "h + 3", "h + 42"], ["h", "f + 9", "f + 51"], ["f", "q + 19", "q + 70"], ["q", 4, "74"]], "target_var_name": "l", "target_value": 74, "value_dict": {"q": 4}, "is_reverse": true}} | 21,636 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = d + 13; o = t + 5; s = j + 1; t = c + 14; q = 4; j = h + 3; l = k + 18; z = q + 13; d = r + 17; h = f + 9; r = z + 2; f = q + 19; k = s + 20. If q = 4, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = s + 20 to l, which gives l = s + 38.\n2. Substitute s = j + 1 to l, which gives l = j + 39.\n3. Substitute j = h + 3 to l, which gives l = h + 42.\n4. Substitute h = f + 9 to l, which gives l = f + 51.\n5. Substitute f = q + 19 to l, which gives l = q + 70.\n6. Substitute q = 4 to l, which gives l = 74.\n\nThus, the final answer is l = \\boxed{74}.",
"index": 21636,
"question": "Consider a system of variables where each variable is defined as follows: c = d + 13; o = t + 5; s = j + 1; t = c + 14; q = 4; j = h + 3; l = k + 18; z = q + 13; d = r + 17; h = f + 9; r = z + 2; f = q + 19; k = s + 20. If q = 4, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"m": "p + 13", "t": "m + 12", "i": "t + 4", "b": "i + 4", "s": "b + 9", "a": "s + 7", "g": "p + 9", "j": "g + 18", "e": "j + 9", "u": "e + 17", "k": "u + 12", "o": "k + 17", "p": 18}, "premises": {"p": 18}, "target": "a"}, "answer": {"steps": [["s", "b + 9", "b + 16"], ["b", "i + 4", "i + 20"], ["i", "t + 4", "t + 24"], ["t", "m + 12", "m + 36"], ["m", "p + 13", "p + 49"], ["p", 18, "67"]], "target_var_name": "a", "target_value": 67, "value_dict": {"p": 18}, "is_reverse": true}} | 21,637 | 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 = t + 4; e = j + 9; s = b + 9; p = 18; k = u + 12; o = k + 17; j = g + 18; u = e + 17; g = p + 9; t = m + 12; a = s + 7; b = i + 4; m = p + 13. If p = 18, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = b + 9 to a, which gives a = b + 16.\n2. Substitute b = i + 4 to a, which gives a = i + 20.\n3. Substitute i = t + 4 to a, which gives a = t + 24.\n4. Substitute t = m + 12 to a, which gives a = m + 36.\n5. Substitute m = p + 13 to a, which gives a = p + 49.\n6. Substitute p = 18 to a, which gives a = 67.\n\nThus, the final answer is a = \\boxed{67}.",
"index": 21637,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = t + 4; e = j + 9; s = b + 9; p = 18; k = u + 12; o = k + 17; j = g + 18; u = e + 17; g = p + 9; t = m + 12; a = s + 7; b = i + 4; m = p + 13. If p = 18, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"r": "y + 20", "s": "r + 10", "m": "s + 8", "e": "m + 6", "n": "e + 17", "b": "n + 7", "i": "y + 13", "z": "i + 8", "d": "z + 17", "l": "d + 2", "a": "l + 6", "q": "a + 6", "y": 12}, "premises": {"y": 12}, "target": "b"}, "answer": {"steps": [["n", "e + 17", "e + 24"], ["e", "m + 6", "m + 30"], ["m", "s + 8", "s + 38"], ["s", "r + 10", "r + 48"], ["r", "y + 20", "y + 68"], ["y", 12, "80"]], "target_var_name": "b", "target_value": 80, "value_dict": {"y": 12}, "is_reverse": true}} | 21,638 | 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 = a + 6; e = m + 6; l = d + 2; s = r + 10; y = 12; n = e + 17; a = l + 6; m = s + 8; d = z + 17; z = i + 8; i = y + 13; r = y + 20; b = n + 7. If y = 12, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = e + 17 to b, which gives b = e + 24.\n2. Substitute e = m + 6 to b, which gives b = m + 30.\n3. Substitute m = s + 8 to b, which gives b = s + 38.\n4. Substitute s = r + 10 to b, which gives b = r + 48.\n5. Substitute r = y + 20 to b, which gives b = y + 68.\n6. Substitute y = 12 to b, which gives b = 80.\n\nThus, the final answer is b = \\boxed{80}.",
"index": 21638,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = a + 6; e = m + 6; l = d + 2; s = r + 10; y = 12; n = e + 17; a = l + 6; m = s + 8; d = z + 17; z = i + 8; i = y + 13; r = y + 20; b = n + 7. If y = 12, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"s": "u + 11", "r": "s + 14", "j": "r + 11", "h": "j + 14", "i": "h + 6", "y": "i + 5", "f": "u + 7", "t": "f + 8", "p": "t + 7", "q": "p + 12", "v": "q + 2", "x": "v + 19", "u": 9}, "premises": {"u": 9}, "target": "y"}, "answer": {"steps": [["i", "h + 6", "h + 11"], ["h", "j + 14", "j + 25"], ["j", "r + 11", "r + 36"], ["r", "s + 14", "s + 50"], ["s", "u + 11", "u + 61"], ["u", 9, "70"]], "target_var_name": "y", "target_value": 70, "value_dict": {"u": 9}, "is_reverse": true}} | 21,639 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = p + 12; f = u + 7; s = u + 11; y = i + 5; t = f + 8; x = v + 19; j = r + 11; r = s + 14; h = j + 14; u = 9; i = h + 6; p = t + 7; v = q + 2. If u = 9, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = h + 6 to y, which gives y = h + 11.\n2. Substitute h = j + 14 to y, which gives y = j + 25.\n3. Substitute j = r + 11 to y, which gives y = r + 36.\n4. Substitute r = s + 14 to y, which gives y = s + 50.\n5. Substitute s = u + 11 to y, which gives y = u + 61.\n6. Substitute u = 9 to y, which gives y = 70.\n\nThus, the final answer is y = \\boxed{70}.",
"index": 21639,
"question": "Consider a system of variables where each variable is defined as follows: q = p + 12; f = u + 7; s = u + 11; y = i + 5; t = f + 8; x = v + 19; j = r + 11; r = s + 14; h = j + 14; u = 9; i = h + 6; p = t + 7; v = q + 2. If u = 9, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"g": "z + 16", "o": "g + 5", "t": "o + 5", "y": "t + 9", "m": "y + 3", "r": "m + 6", "j": "z + 18", "i": "j + 9", "x": "i + 8", "q": "x + 17", "u": "q + 2", "f": "u + 5", "z": 14}, "premises": {"z": 14}, "target": "r"}, "answer": {"steps": [["m", "y + 3", "y + 9"], ["y", "t + 9", "t + 18"], ["t", "o + 5", "o + 23"], ["o", "g + 5", "g + 28"], ["g", "z + 16", "z + 44"], ["z", 14, "58"]], "target_var_name": "r", "target_value": 58, "value_dict": {"z": 14}, "is_reverse": true}} | 21,640 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = u + 5; o = g + 5; q = x + 17; m = y + 3; y = t + 9; i = j + 9; j = z + 18; g = z + 16; t = o + 5; z = 14; u = q + 2; r = m + 6; x = i + 8. Given that z = 14, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = y + 3 to r, which gives r = y + 9.\n2. Substitute y = t + 9 to r, which gives r = t + 18.\n3. Substitute t = o + 5 to r, which gives r = o + 23.\n4. Substitute o = g + 5 to r, which gives r = g + 28.\n5. Substitute g = z + 16 to r, which gives r = z + 44.\n6. Substitute z = 14 to r, which gives r = 58.\n\nThus, the final answer is r = \\boxed{58}.",
"index": 21640,
"question": "Suppose a collection of variables is related by the following definitions: f = u + 5; o = g + 5; q = x + 17; m = y + 3; y = t + 9; i = j + 9; j = z + 18; g = z + 16; t = o + 5; z = 14; u = q + 2; r = m + 6; x = i + 8. Given that z = 14, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"d": "b + 18", "k": "d + 5", "n": "k + 7", "p": "n + 6", "q": "p + 7", "l": "q + 9", "y": "b + 11", "u": "y + 3", "t": "u + 13", "o": "t + 11", "j": "o + 8", "c": "j + 2", "b": 12}, "premises": {"b": 12}, "target": "l"}, "answer": {"steps": [["q", "p + 7", "p + 16"], ["p", "n + 6", "n + 22"], ["n", "k + 7", "k + 29"], ["k", "d + 5", "d + 34"], ["d", "b + 18", "b + 52"], ["b", 12, "64"]], "target_var_name": "l", "target_value": 64, "value_dict": {"b": 12}, "is_reverse": true}} | 21,641 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = t + 11; b = 12; j = o + 8; t = u + 13; q = p + 7; c = j + 2; n = k + 7; u = y + 3; l = q + 9; d = b + 18; k = d + 5; p = n + 6; y = b + 11. If b = 12, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = p + 7 to l, which gives l = p + 16.\n2. Substitute p = n + 6 to l, which gives l = n + 22.\n3. Substitute n = k + 7 to l, which gives l = k + 29.\n4. Substitute k = d + 5 to l, which gives l = d + 34.\n5. Substitute d = b + 18 to l, which gives l = b + 52.\n6. Substitute b = 12 to l, which gives l = 64.\n\nThus, the final answer is l = \\boxed{64}.",
"index": 21641,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = t + 11; b = 12; j = o + 8; t = u + 13; q = p + 7; c = j + 2; n = k + 7; u = y + 3; l = q + 9; d = b + 18; k = d + 5; p = n + 6; y = b + 11. If b = 12, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"q": "x + 20", "z": "q + 19", "c": "z + 9", "b": "c + 7", "i": "b + 8", "r": "i + 8", "t": "x + 19", "o": "t + 11", "d": "o + 19", "u": "d + 4", "f": "u + 2", "k": "f + 5", "x": 2}, "premises": {"x": 2}, "target": "r"}, "answer": {"steps": [["i", "b + 8", "b + 16"], ["b", "c + 7", "c + 23"], ["c", "z + 9", "z + 32"], ["z", "q + 19", "q + 51"], ["q", "x + 20", "x + 71"], ["x", 2, "73"]], "target_var_name": "r", "target_value": 73, "value_dict": {"x": 2}, "is_reverse": true}} | 21,642 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = x + 19; k = f + 5; b = c + 7; i = b + 8; f = u + 2; d = o + 19; q = x + 20; u = d + 4; c = z + 9; r = i + 8; z = q + 19; o = t + 11; x = 2. Given that x = 2, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = b + 8 to r, which gives r = b + 16.\n2. Substitute b = c + 7 to r, which gives r = c + 23.\n3. Substitute c = z + 9 to r, which gives r = z + 32.\n4. Substitute z = q + 19 to r, which gives r = q + 51.\n5. Substitute q = x + 20 to r, which gives r = x + 71.\n6. Substitute x = 2 to r, which gives r = 73.\n\nThus, the final answer is r = \\boxed{73}.",
"index": 21642,
"question": "Suppose a collection of variables is related by the following definitions: t = x + 19; k = f + 5; b = c + 7; i = b + 8; f = u + 2; d = o + 19; q = x + 20; u = d + 4; c = z + 9; r = i + 8; z = q + 19; o = t + 11; x = 2. Given that x = 2, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"x": "m + 5", "i": "x + 3", "n": "i + 10", "h": "n + 18", "p": "h + 4", "j": "p + 7", "b": "m + 11", "v": "b + 17", "t": "v + 20", "g": "t + 8", "q": "g + 18", "r": "q + 6", "m": 8}, "premises": {"m": 8}, "target": "j"}, "answer": {"steps": [["p", "h + 4", "h + 11"], ["h", "n + 18", "n + 29"], ["n", "i + 10", "i + 39"], ["i", "x + 3", "x + 42"], ["x", "m + 5", "m + 47"], ["m", 8, "55"]], "target_var_name": "j", "target_value": 55, "value_dict": {"m": 8}, "is_reverse": true}} | 21,643 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = h + 4; x = m + 5; v = b + 17; h = n + 18; r = q + 6; m = 8; q = g + 18; b = m + 11; g = t + 8; i = x + 3; j = p + 7; n = i + 10; t = v + 20. Given that m = 8, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = h + 4 to j, which gives j = h + 11.\n2. Substitute h = n + 18 to j, which gives j = n + 29.\n3. Substitute n = i + 10 to j, which gives j = i + 39.\n4. Substitute i = x + 3 to j, which gives j = x + 42.\n5. Substitute x = m + 5 to j, which gives j = m + 47.\n6. Substitute m = 8 to j, which gives j = 55.\n\nThus, the final answer is j = \\boxed{55}.",
"index": 21643,
"question": "Suppose a collection of variables is related by the following definitions: p = h + 4; x = m + 5; v = b + 17; h = n + 18; r = q + 6; m = 8; q = g + 18; b = m + 11; g = t + 8; i = x + 3; j = p + 7; n = i + 10; t = v + 20. Given that m = 8, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"m": "p + 6", "d": "m + 1", "s": "d + 12", "z": "s + 12", "u": "z + 8", "c": "u + 3", "w": "p + 3", "h": "w + 11", "n": "h + 6", "r": "n + 7", "i": "r + 7", "t": "i + 7", "p": 1}, "premises": {"p": 1}, "target": "c"}, "answer": {"steps": [["u", "z + 8", "z + 11"], ["z", "s + 12", "s + 23"], ["s", "d + 12", "d + 35"], ["d", "m + 1", "m + 36"], ["m", "p + 6", "p + 42"], ["p", 1, "43"]], "target_var_name": "c", "target_value": 43, "value_dict": {"p": 1}, "is_reverse": true}} | 21,644 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = z + 8; s = d + 12; p = 1; h = w + 11; i = r + 7; t = i + 7; m = p + 6; r = n + 7; w = p + 3; z = s + 12; c = u + 3; d = m + 1; n = h + 6. If p = 1, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = z + 8 to c, which gives c = z + 11.\n2. Substitute z = s + 12 to c, which gives c = s + 23.\n3. Substitute s = d + 12 to c, which gives c = d + 35.\n4. Substitute d = m + 1 to c, which gives c = m + 36.\n5. Substitute m = p + 6 to c, which gives c = p + 42.\n6. Substitute p = 1 to c, which gives c = 43.\n\nThus, the final answer is c = \\boxed{43}.",
"index": 21644,
"question": "Consider a system of variables where each variable is defined as follows: u = z + 8; s = d + 12; p = 1; h = w + 11; i = r + 7; t = i + 7; m = p + 6; r = n + 7; w = p + 3; z = s + 12; c = u + 3; d = m + 1; n = h + 6. If p = 1, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"g": "o + 2", "v": "g + 12", "d": "v + 13", "p": "d + 14", "q": "p + 3", "a": "q + 11", "c": "o + 4", "h": "c + 19", "w": "h + 16", "l": "w + 5", "j": "l + 19", "n": "j + 12", "o": 11}, "premises": {"o": 11}, "target": "a"}, "answer": {"steps": [["q", "p + 3", "p + 14"], ["p", "d + 14", "d + 28"], ["d", "v + 13", "v + 41"], ["v", "g + 12", "g + 53"], ["g", "o + 2", "o + 55"], ["o", 11, "66"]], "target_var_name": "a", "target_value": 66, "value_dict": {"o": 11}, "is_reverse": true}} | 21,645 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = v + 13; g = o + 2; w = h + 16; o = 11; q = p + 3; v = g + 12; n = j + 12; c = o + 4; l = w + 5; j = l + 19; p = d + 14; a = q + 11; h = c + 19. If o = 11, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = p + 3 to a, which gives a = p + 14.\n2. Substitute p = d + 14 to a, which gives a = d + 28.\n3. Substitute d = v + 13 to a, which gives a = v + 41.\n4. Substitute v = g + 12 to a, which gives a = g + 53.\n5. Substitute g = o + 2 to a, which gives a = o + 55.\n6. Substitute o = 11 to a, which gives a = 66.\n\nThus, the final answer is a = \\boxed{66}.",
"index": 21645,
"question": "Consider a system of variables where each variable is defined as follows: d = v + 13; g = o + 2; w = h + 16; o = 11; q = p + 3; v = g + 12; n = j + 12; c = o + 4; l = w + 5; j = l + 19; p = d + 14; a = q + 11; h = c + 19. If o = 11, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"z": "w + 9", "v": "z + 4", "b": "v + 11", "a": "b + 11", "q": "a + 17", "u": "q + 5", "l": "w + 1", "d": "l + 5", "k": "d + 13", "e": "k + 4", "n": "e + 4", "h": "n + 3", "w": 3}, "premises": {"w": 3}, "target": "u"}, "answer": {"steps": [["q", "a + 17", "a + 22"], ["a", "b + 11", "b + 33"], ["b", "v + 11", "v + 44"], ["v", "z + 4", "z + 48"], ["z", "w + 9", "w + 57"], ["w", 3, "60"]], "target_var_name": "u", "target_value": 60, "value_dict": {"w": 3}, "is_reverse": true}} | 21,646 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = v + 11; e = k + 4; l = w + 1; h = n + 3; w = 3; q = a + 17; v = z + 4; a = b + 11; k = d + 13; n = e + 4; u = q + 5; z = w + 9; d = l + 5. Given that w = 3, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = a + 17 to u, which gives u = a + 22.\n2. Substitute a = b + 11 to u, which gives u = b + 33.\n3. Substitute b = v + 11 to u, which gives u = v + 44.\n4. Substitute v = z + 4 to u, which gives u = z + 48.\n5. Substitute z = w + 9 to u, which gives u = w + 57.\n6. Substitute w = 3 to u, which gives u = 60.\n\nThus, the final answer is u = \\boxed{60}.",
"index": 21646,
"question": "Suppose a collection of variables is related by the following definitions: b = v + 11; e = k + 4; l = w + 1; h = n + 3; w = 3; q = a + 17; v = z + 4; a = b + 11; k = d + 13; n = e + 4; u = q + 5; z = w + 9; d = l + 5. Given that w = 3, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"h": "d + 12", "u": "h + 5", "a": "u + 1", "j": "a + 14", "b": "j + 9", "v": "b + 4", "q": "d + 3", "i": "q + 16", "n": "i + 9", "o": "n + 10", "k": "o + 11", "t": "k + 2", "d": 14}, "premises": {"d": 14}, "target": "v"}, "answer": {"steps": [["b", "j + 9", "j + 13"], ["j", "a + 14", "a + 27"], ["a", "u + 1", "u + 28"], ["u", "h + 5", "h + 33"], ["h", "d + 12", "d + 45"], ["d", 14, "59"]], "target_var_name": "v", "target_value": 59, "value_dict": {"d": 14}, "is_reverse": true}} | 21,647 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = i + 9; t = k + 2; d = 14; k = o + 11; u = h + 5; v = b + 4; h = d + 12; a = u + 1; o = n + 10; b = j + 9; j = a + 14; q = d + 3; i = q + 16. If d = 14, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = j + 9 to v, which gives v = j + 13.\n2. Substitute j = a + 14 to v, which gives v = a + 27.\n3. Substitute a = u + 1 to v, which gives v = u + 28.\n4. Substitute u = h + 5 to v, which gives v = h + 33.\n5. Substitute h = d + 12 to v, which gives v = d + 45.\n6. Substitute d = 14 to v, which gives v = 59.\n\nThus, the final answer is v = \\boxed{59}.",
"index": 21647,
"question": "Consider a system of variables where each variable is defined as follows: n = i + 9; t = k + 2; d = 14; k = o + 11; u = h + 5; v = b + 4; h = d + 12; a = u + 1; o = n + 10; b = j + 9; j = a + 14; q = d + 3; i = q + 16. If d = 14, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"m": "i + 20", "j": "m + 9", "h": "j + 2", "w": "h + 8", "p": "w + 6", "s": "p + 16", "v": "i + 14", "e": "v + 9", "c": "e + 7", "n": "c + 3", "q": "n + 5", "y": "q + 7", "i": 17}, "premises": {"i": 17}, "target": "s"}, "answer": {"steps": [["p", "w + 6", "w + 22"], ["w", "h + 8", "h + 30"], ["h", "j + 2", "j + 32"], ["j", "m + 9", "m + 41"], ["m", "i + 20", "i + 61"], ["i", 17, "78"]], "target_var_name": "s", "target_value": 78, "value_dict": {"i": 17}, "is_reverse": true}} | 21,648 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = h + 8; j = m + 9; c = e + 7; q = n + 5; v = i + 14; p = w + 6; i = 17; h = j + 2; n = c + 3; s = p + 16; e = v + 9; y = q + 7; m = i + 20. If i = 17, determine the 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 p = w + 6 to s, which gives s = w + 22.\n2. Substitute w = h + 8 to s, which gives s = h + 30.\n3. Substitute h = j + 2 to s, which gives s = j + 32.\n4. Substitute j = m + 9 to s, which gives s = m + 41.\n5. Substitute m = i + 20 to s, which gives s = i + 61.\n6. Substitute i = 17 to s, which gives s = 78.\n\nThus, the final answer is s = \\boxed{78}.",
"index": 21648,
"question": "Consider a system of variables where each variable is defined as follows: w = h + 8; j = m + 9; c = e + 7; q = n + 5; v = i + 14; p = w + 6; i = 17; h = j + 2; n = c + 3; s = p + 16; e = v + 9; y = q + 7; m = i + 20. If i = 17, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"z": "s + 1", "f": "z + 6", "o": "f + 12", "r": "o + 20", "c": "r + 6", "w": "c + 6", "h": "s + 1", "e": "h + 14", "q": "e + 16", "x": "q + 19", "a": "x + 19", "k": "a + 18", "s": 13}, "premises": {"s": 13}, "target": "w"}, "answer": {"steps": [["c", "r + 6", "r + 12"], ["r", "o + 20", "o + 32"], ["o", "f + 12", "f + 44"], ["f", "z + 6", "z + 50"], ["z", "s + 1", "s + 51"], ["s", 13, "64"]], "target_var_name": "w", "target_value": 64, "value_dict": {"s": 13}, "is_reverse": true}} | 21,649 | 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 = o + 20; c = r + 6; k = a + 18; a = x + 19; z = s + 1; q = e + 16; o = f + 12; s = 13; e = h + 14; h = s + 1; x = q + 19; f = z + 6; w = c + 6. If s = 13, what is the resulting 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 c = r + 6 to w, which gives w = r + 12.\n2. Substitute r = o + 20 to w, which gives w = o + 32.\n3. Substitute o = f + 12 to w, which gives w = f + 44.\n4. Substitute f = z + 6 to w, which gives w = z + 50.\n5. Substitute z = s + 1 to w, which gives w = s + 51.\n6. Substitute s = 13 to w, which gives w = 64.\n\nThus, the final answer is w = \\boxed{64}.",
"index": 21649,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = o + 20; c = r + 6; k = a + 18; a = x + 19; z = s + 1; q = e + 16; o = f + 12; s = 13; e = h + 14; h = s + 1; x = q + 19; f = z + 6; w = c + 6. If s = 13, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"r": "h + 5", "q": "r + 2", "n": "q + 18", "a": "n + 16", "g": "a + 13", "b": "g + 3", "y": "h + 7", "z": "y + 4", "m": "z + 11", "j": "m + 12", "c": "j + 3", "x": "c + 11", "h": 20}, "premises": {"h": 20}, "target": "b"}, "answer": {"steps": [["g", "a + 13", "a + 16"], ["a", "n + 16", "n + 32"], ["n", "q + 18", "q + 50"], ["q", "r + 2", "r + 52"], ["r", "h + 5", "h + 57"], ["h", 20, "77"]], "target_var_name": "b", "target_value": 77, "value_dict": {"h": 20}, "is_reverse": true}} | 21,650 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = n + 16; q = r + 2; c = j + 3; m = z + 11; x = c + 11; b = g + 3; g = a + 13; r = h + 5; y = h + 7; j = m + 12; h = 20; z = y + 4; n = q + 18. Given that h = 20, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = a + 13 to b, which gives b = a + 16.\n2. Substitute a = n + 16 to b, which gives b = n + 32.\n3. Substitute n = q + 18 to b, which gives b = q + 50.\n4. Substitute q = r + 2 to b, which gives b = r + 52.\n5. Substitute r = h + 5 to b, which gives b = h + 57.\n6. Substitute h = 20 to b, which gives b = 77.\n\nThus, the final answer is b = \\boxed{77}.",
"index": 21650,
"question": "Suppose a collection of variables is related by the following definitions: a = n + 16; q = r + 2; c = j + 3; m = z + 11; x = c + 11; b = g + 3; g = a + 13; r = h + 5; y = h + 7; j = m + 12; h = 20; z = y + 4; n = q + 18. Given that h = 20, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"c": "y + 13", "u": "c + 16", "j": "u + 19", "o": "j + 5", "v": "o + 15", "a": "v + 15", "p": "y + 5", "q": "p + 20", "x": "q + 12", "d": "x + 10", "i": "d + 15", "l": "i + 18", "y": 17}, "premises": {"y": 17}, "target": "a"}, "answer": {"steps": [["v", "o + 15", "o + 30"], ["o", "j + 5", "j + 35"], ["j", "u + 19", "u + 54"], ["u", "c + 16", "c + 70"], ["c", "y + 13", "y + 83"], ["y", 17, "100"]], "target_var_name": "a", "target_value": 100, "value_dict": {"y": 17}, "is_reverse": true}} | 21,651 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = u + 19; p = y + 5; i = d + 15; x = q + 12; o = j + 5; u = c + 16; y = 17; a = v + 15; v = o + 15; l = i + 18; c = y + 13; q = p + 20; d = x + 10. If y = 17, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = o + 15 to a, which gives a = o + 30.\n2. Substitute o = j + 5 to a, which gives a = j + 35.\n3. Substitute j = u + 19 to a, which gives a = u + 54.\n4. Substitute u = c + 16 to a, which gives a = c + 70.\n5. Substitute c = y + 13 to a, which gives a = y + 83.\n6. Substitute y = 17 to a, which gives a = 100.\n\nThus, the final answer is a = \\boxed{100}.",
"index": 21651,
"question": "Consider a system of variables where each variable is defined as follows: j = u + 19; p = y + 5; i = d + 15; x = q + 12; o = j + 5; u = c + 16; y = 17; a = v + 15; v = o + 15; l = i + 18; c = y + 13; q = p + 20; d = x + 10. If y = 17, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"p": "e + 18", "w": "p + 9", "m": "w + 20", "d": "m + 18", "h": "d + 10", "r": "h + 10", "f": "e + 18", "g": "f + 16", "s": "g + 6", "q": "s + 2", "v": "q + 19", "t": "v + 13", "e": 11}, "premises": {"e": 11}, "target": "r"}, "answer": {"steps": [["h", "d + 10", "d + 20"], ["d", "m + 18", "m + 38"], ["m", "w + 20", "w + 58"], ["w", "p + 9", "p + 67"], ["p", "e + 18", "e + 85"], ["e", 11, "96"]], "target_var_name": "r", "target_value": 96, "value_dict": {"e": 11}, "is_reverse": true}} | 21,652 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = 11; f = e + 18; d = m + 18; v = q + 19; r = h + 10; p = e + 18; m = w + 20; s = g + 6; q = s + 2; t = v + 13; w = p + 9; h = d + 10; g = f + 16. Given that e = 11, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = d + 10 to r, which gives r = d + 20.\n2. Substitute d = m + 18 to r, which gives r = m + 38.\n3. Substitute m = w + 20 to r, which gives r = w + 58.\n4. Substitute w = p + 9 to r, which gives r = p + 67.\n5. Substitute p = e + 18 to r, which gives r = e + 85.\n6. Substitute e = 11 to r, which gives r = 96.\n\nThus, the final answer is r = \\boxed{96}.",
"index": 21652,
"question": "Suppose a collection of variables is related by the following definitions: e = 11; f = e + 18; d = m + 18; v = q + 19; r = h + 10; p = e + 18; m = w + 20; s = g + 6; q = s + 2; t = v + 13; w = p + 9; h = d + 10; g = f + 16. Given that e = 11, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"a": "v + 9", "o": "a + 5", "d": "o + 8", "b": "d + 4", "z": "b + 18", "x": "z + 19", "h": "v + 19", "f": "h + 20", "l": "f + 13", "u": "l + 6", "e": "u + 13", "j": "e + 20", "v": 20}, "premises": {"v": 20}, "target": "x"}, "answer": {"steps": [["z", "b + 18", "b + 37"], ["b", "d + 4", "d + 41"], ["d", "o + 8", "o + 49"], ["o", "a + 5", "a + 54"], ["a", "v + 9", "v + 63"], ["v", 20, "83"]], "target_var_name": "x", "target_value": 83, "value_dict": {"v": 20}, "is_reverse": true}} | 21,653 | 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 = 20; a = v + 9; e = u + 13; f = h + 20; u = l + 6; h = v + 19; j = e + 20; o = a + 5; b = d + 4; z = b + 18; l = f + 13; d = o + 8; x = z + 19. If v = 20, what is the resulting 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 z = b + 18 to x, which gives x = b + 37.\n2. Substitute b = d + 4 to x, which gives x = d + 41.\n3. Substitute d = o + 8 to x, which gives x = o + 49.\n4. Substitute o = a + 5 to x, which gives x = a + 54.\n5. Substitute a = v + 9 to x, which gives x = v + 63.\n6. Substitute v = 20 to x, which gives x = 83.\n\nThus, the final answer is x = \\boxed{83}.",
"index": 21653,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = 20; a = v + 9; e = u + 13; f = h + 20; u = l + 6; h = v + 19; j = e + 20; o = a + 5; b = d + 4; z = b + 18; l = f + 13; d = o + 8; x = z + 19. If v = 20, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"d": "u + 14", "o": "d + 16", "p": "o + 20", "j": "p + 14", "x": "j + 16", "t": "x + 5", "s": "u + 20", "r": "s + 15", "i": "r + 8", "n": "i + 17", "f": "n + 13", "k": "f + 18", "u": 15}, "premises": {"u": 15}, "target": "t"}, "answer": {"steps": [["x", "j + 16", "j + 21"], ["j", "p + 14", "p + 35"], ["p", "o + 20", "o + 55"], ["o", "d + 16", "d + 71"], ["d", "u + 14", "u + 85"], ["u", 15, "100"]], "target_var_name": "t", "target_value": 100, "value_dict": {"u": 15}, "is_reverse": true}} | 21,654 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = j + 16; i = r + 8; n = i + 17; t = x + 5; s = u + 20; k = f + 18; o = d + 16; j = p + 14; f = n + 13; d = u + 14; r = s + 15; p = o + 20; u = 15. Given that u = 15, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = j + 16 to t, which gives t = j + 21.\n2. Substitute j = p + 14 to t, which gives t = p + 35.\n3. Substitute p = o + 20 to t, which gives t = o + 55.\n4. Substitute o = d + 16 to t, which gives t = d + 71.\n5. Substitute d = u + 14 to t, which gives t = u + 85.\n6. Substitute u = 15 to t, which gives t = 100.\n\nThus, the final answer is t = \\boxed{100}.",
"index": 21654,
"question": "Suppose a collection of variables is related by the following definitions: x = j + 16; i = r + 8; n = i + 17; t = x + 5; s = u + 20; k = f + 18; o = d + 16; j = p + 14; f = n + 13; d = u + 14; r = s + 15; p = o + 20; u = 15. Given that u = 15, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"f": "c + 8", "n": "f + 15", "g": "n + 14", "r": "g + 5", "p": "r + 3", "y": "p + 12", "h": "c + 18", "m": "h + 17", "q": "m + 18", "a": "q + 12", "i": "a + 9", "o": "i + 4", "c": 14}, "premises": {"c": 14}, "target": "y"}, "answer": {"steps": [["p", "r + 3", "r + 15"], ["r", "g + 5", "g + 20"], ["g", "n + 14", "n + 34"], ["n", "f + 15", "f + 49"], ["f", "c + 8", "c + 57"], ["c", 14, "71"]], "target_var_name": "y", "target_value": 71, "value_dict": {"c": 14}, "is_reverse": true}} | 21,655 | 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 = n + 14; r = g + 5; o = i + 4; a = q + 12; q = m + 18; h = c + 18; n = f + 15; f = c + 8; m = h + 17; c = 14; p = r + 3; y = p + 12; i = a + 9. If c = 14, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = r + 3 to y, which gives y = r + 15.\n2. Substitute r = g + 5 to y, which gives y = g + 20.\n3. Substitute g = n + 14 to y, which gives y = n + 34.\n4. Substitute n = f + 15 to y, which gives y = f + 49.\n5. Substitute f = c + 8 to y, which gives y = c + 57.\n6. Substitute c = 14 to y, which gives y = 71.\n\nThus, the final answer is y = \\boxed{71}.",
"index": 21655,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = n + 14; r = g + 5; o = i + 4; a = q + 12; q = m + 18; h = c + 18; n = f + 15; f = c + 8; m = h + 17; c = 14; p = r + 3; y = p + 12; i = a + 9. If c = 14, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"l": "p + 18", "s": "l + 18", "e": "s + 16", "d": "e + 20", "a": "d + 1", "t": "a + 17", "m": "p + 6", "i": "m + 15", "c": "i + 10", "h": "c + 14", "n": "h + 13", "k": "n + 10", "p": 15}, "premises": {"p": 15}, "target": "t"}, "answer": {"steps": [["a", "d + 1", "d + 18"], ["d", "e + 20", "e + 38"], ["e", "s + 16", "s + 54"], ["s", "l + 18", "l + 72"], ["l", "p + 18", "p + 90"], ["p", 15, "105"]], "target_var_name": "t", "target_value": 105, "value_dict": {"p": 15}, "is_reverse": true}} | 21,656 | 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 = h + 13; m = p + 6; p = 15; k = n + 10; i = m + 15; h = c + 14; c = i + 10; s = l + 18; t = a + 17; a = d + 1; l = p + 18; e = s + 16; d = e + 20. If p = 15, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 105,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = d + 1 to t, which gives t = d + 18.\n2. Substitute d = e + 20 to t, which gives t = e + 38.\n3. Substitute e = s + 16 to t, which gives t = s + 54.\n4. Substitute s = l + 18 to t, which gives t = l + 72.\n5. Substitute l = p + 18 to t, which gives t = p + 90.\n6. Substitute p = 15 to t, which gives t = 105.\n\nThus, the final answer is t = \\boxed{105}.",
"index": 21656,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = h + 13; m = p + 6; p = 15; k = n + 10; i = m + 15; h = c + 14; c = i + 10; s = l + 18; t = a + 17; a = d + 1; l = p + 18; e = s + 16; d = e + 20. If p = 15, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"x": "b + 9", "p": "x + 9", "k": "p + 16", "n": "k + 18", "a": "n + 20", "u": "a + 9", "y": "b + 6", "q": "y + 3", "w": "q + 11", "t": "w + 18", "f": "t + 13", "d": "f + 8", "b": 10}, "premises": {"b": 10}, "target": "u"}, "answer": {"steps": [["a", "n + 20", "n + 29"], ["n", "k + 18", "k + 47"], ["k", "p + 16", "p + 63"], ["p", "x + 9", "x + 72"], ["x", "b + 9", "b + 81"], ["b", 10, "91"]], "target_var_name": "u", "target_value": 91, "value_dict": {"b": 10}, "is_reverse": true}} | 21,657 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = t + 13; x = b + 9; q = y + 3; b = 10; p = x + 9; y = b + 6; w = q + 11; t = w + 18; a = n + 20; u = a + 9; d = f + 8; k = p + 16; n = k + 18. Given that b = 10, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = n + 20 to u, which gives u = n + 29.\n2. Substitute n = k + 18 to u, which gives u = k + 47.\n3. Substitute k = p + 16 to u, which gives u = p + 63.\n4. Substitute p = x + 9 to u, which gives u = x + 72.\n5. Substitute x = b + 9 to u, which gives u = b + 81.\n6. Substitute b = 10 to u, which gives u = 91.\n\nThus, the final answer is u = \\boxed{91}.",
"index": 21657,
"question": "Suppose a collection of variables is related by the following definitions: f = t + 13; x = b + 9; q = y + 3; b = 10; p = x + 9; y = b + 6; w = q + 11; t = w + 18; a = n + 20; u = a + 9; d = f + 8; k = p + 16; n = k + 18. Given that b = 10, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"s": "t + 20", "n": "s + 15", "z": "n + 8", "u": "z + 8", "m": "u + 20", "x": "m + 20", "v": "t + 7", "o": "v + 6", "w": "o + 2", "b": "w + 17", "c": "b + 1", "f": "c + 18", "t": 5}, "premises": {"t": 5}, "target": "x"}, "answer": {"steps": [["m", "u + 20", "u + 40"], ["u", "z + 8", "z + 48"], ["z", "n + 8", "n + 56"], ["n", "s + 15", "s + 71"], ["s", "t + 20", "t + 91"], ["t", 5, "96"]], "target_var_name": "x", "target_value": 96, "value_dict": {"t": 5}, "is_reverse": true}} | 21,658 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = s + 15; b = w + 17; f = c + 18; t = 5; u = z + 8; w = o + 2; x = m + 20; c = b + 1; v = t + 7; o = v + 6; s = t + 20; z = n + 8; m = u + 20. If t = 5, determine 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 = u + 20 to x, which gives x = u + 40.\n2. Substitute u = z + 8 to x, which gives x = z + 48.\n3. Substitute z = n + 8 to x, which gives x = n + 56.\n4. Substitute n = s + 15 to x, which gives x = s + 71.\n5. Substitute s = t + 20 to x, which gives x = t + 91.\n6. Substitute t = 5 to x, which gives x = 96.\n\nThus, the final answer is x = \\boxed{96}.",
"index": 21658,
"question": "Consider a system of variables where each variable is defined as follows: n = s + 15; b = w + 17; f = c + 18; t = 5; u = z + 8; w = o + 2; x = m + 20; c = b + 1; v = t + 7; o = v + 6; s = t + 20; z = n + 8; m = u + 20. If t = 5, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"t": "f + 4", "g": "t + 1", "n": "g + 20", "x": "n + 1", "r": "x + 14", "u": "r + 1", "v": "f + 16", "h": "v + 15", "m": "h + 5", "z": "m + 18", "o": "z + 10", "p": "o + 20", "f": 17}, "premises": {"f": 17}, "target": "u"}, "answer": {"steps": [["r", "x + 14", "x + 15"], ["x", "n + 1", "n + 16"], ["n", "g + 20", "g + 36"], ["g", "t + 1", "t + 37"], ["t", "f + 4", "f + 41"], ["f", 17, "58"]], "target_var_name": "u", "target_value": 58, "value_dict": {"f": 17}, "is_reverse": true}} | 21,659 | 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 = o + 20; v = f + 16; u = r + 1; o = z + 10; x = n + 1; h = v + 15; g = t + 1; f = 17; r = x + 14; z = m + 18; t = f + 4; m = h + 5; n = g + 20. If f = 17, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = x + 14 to u, which gives u = x + 15.\n2. Substitute x = n + 1 to u, which gives u = n + 16.\n3. Substitute n = g + 20 to u, which gives u = g + 36.\n4. Substitute g = t + 1 to u, which gives u = t + 37.\n5. Substitute t = f + 4 to u, which gives u = f + 41.\n6. Substitute f = 17 to u, which gives u = 58.\n\nThus, the final answer is u = \\boxed{58}.",
"index": 21659,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = o + 20; v = f + 16; u = r + 1; o = z + 10; x = n + 1; h = v + 15; g = t + 1; f = 17; r = x + 14; z = m + 18; t = f + 4; m = h + 5; n = g + 20. If f = 17, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"s": "w + 2", "r": "s + 18", "e": "r + 7", "b": "e + 8", "q": "b + 18", "c": "q + 3", "f": "w + 3", "t": "f + 17", "x": "t + 9", "j": "x + 20", "l": "j + 2", "m": "l + 17", "w": 5}, "premises": {"w": 5}, "target": "c"}, "answer": {"steps": [["q", "b + 18", "b + 21"], ["b", "e + 8", "e + 29"], ["e", "r + 7", "r + 36"], ["r", "s + 18", "s + 54"], ["s", "w + 2", "w + 56"], ["w", 5, "61"]], "target_var_name": "c", "target_value": 61, "value_dict": {"w": 5}, "is_reverse": true}} | 21,660 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = e + 8; c = q + 3; f = w + 3; x = t + 9; m = l + 17; t = f + 17; s = w + 2; l = j + 2; e = r + 7; w = 5; q = b + 18; r = s + 18; j = x + 20. If w = 5, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = b + 18 to c, which gives c = b + 21.\n2. Substitute b = e + 8 to c, which gives c = e + 29.\n3. Substitute e = r + 7 to c, which gives c = r + 36.\n4. Substitute r = s + 18 to c, which gives c = s + 54.\n5. Substitute s = w + 2 to c, which gives c = w + 56.\n6. Substitute w = 5 to c, which gives c = 61.\n\nThus, the final answer is c = \\boxed{61}.",
"index": 21660,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = e + 8; c = q + 3; f = w + 3; x = t + 9; m = l + 17; t = f + 17; s = w + 2; l = j + 2; e = r + 7; w = 5; q = b + 18; r = s + 18; j = x + 20. If w = 5, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"j": "q + 18", "f": "j + 6", "a": "f + 15", "e": "a + 16", "r": "e + 10", "s": "r + 11", "b": "q + 8", "w": "b + 5", "m": "w + 15", "y": "m + 11", "h": "y + 3", "x": "h + 1", "q": 20}, "premises": {"q": 20}, "target": "s"}, "answer": {"steps": [["r", "e + 10", "e + 21"], ["e", "a + 16", "a + 37"], ["a", "f + 15", "f + 52"], ["f", "j + 6", "j + 58"], ["j", "q + 18", "q + 76"], ["q", 20, "96"]], "target_var_name": "s", "target_value": 96, "value_dict": {"q": 20}, "is_reverse": true}} | 21,661 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = h + 1; a = f + 15; h = y + 3; q = 20; e = a + 16; m = w + 15; y = m + 11; f = j + 6; r = e + 10; w = b + 5; s = r + 11; b = q + 8; j = q + 18. Given that q = 20, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = e + 10 to s, which gives s = e + 21.\n2. Substitute e = a + 16 to s, which gives s = a + 37.\n3. Substitute a = f + 15 to s, which gives s = f + 52.\n4. Substitute f = j + 6 to s, which gives s = j + 58.\n5. Substitute j = q + 18 to s, which gives s = q + 76.\n6. Substitute q = 20 to s, which gives s = 96.\n\nThus, the final answer is s = \\boxed{96}.",
"index": 21661,
"question": "Suppose a collection of variables is related by the following definitions: x = h + 1; a = f + 15; h = y + 3; q = 20; e = a + 16; m = w + 15; y = m + 11; f = j + 6; r = e + 10; w = b + 5; s = r + 11; b = q + 8; j = q + 18. Given that q = 20, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"h": "e + 16", "w": "h + 19", "z": "w + 12", "q": "z + 1", "i": "q + 14", "j": "i + 7", "x": "e + 17", "n": "x + 12", "y": "n + 11", "a": "y + 7", "m": "a + 4", "d": "m + 3", "e": 11}, "premises": {"e": 11}, "target": "j"}, "answer": {"steps": [["i", "q + 14", "q + 21"], ["q", "z + 1", "z + 22"], ["z", "w + 12", "w + 34"], ["w", "h + 19", "h + 53"], ["h", "e + 16", "e + 69"], ["e", 11, "80"]], "target_var_name": "j", "target_value": 80, "value_dict": {"e": 11}, "is_reverse": true}} | 21,662 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = h + 19; z = w + 12; a = y + 7; q = z + 1; n = x + 12; h = e + 16; y = n + 11; m = a + 4; d = m + 3; i = q + 14; j = i + 7; e = 11; x = e + 17. If e = 11, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = q + 14 to j, which gives j = q + 21.\n2. Substitute q = z + 1 to j, which gives j = z + 22.\n3. Substitute z = w + 12 to j, which gives j = w + 34.\n4. Substitute w = h + 19 to j, which gives j = h + 53.\n5. Substitute h = e + 16 to j, which gives j = e + 69.\n6. Substitute e = 11 to j, which gives j = 80.\n\nThus, the final answer is j = \\boxed{80}.",
"index": 21662,
"question": "Consider a system of variables where each variable is defined as follows: w = h + 19; z = w + 12; a = y + 7; q = z + 1; n = x + 12; h = e + 16; y = n + 11; m = a + 4; d = m + 3; i = q + 14; j = i + 7; e = 11; x = e + 17. If e = 11, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"a": "s + 6", "g": "a + 12", "z": "g + 3", "m": "z + 11", "j": "m + 7", "n": "j + 3", "u": "s + 2", "p": "u + 8", "c": "p + 5", "v": "c + 17", "e": "v + 9", "y": "e + 6", "s": 12}, "premises": {"s": 12}, "target": "n"}, "answer": {"steps": [["j", "m + 7", "m + 10"], ["m", "z + 11", "z + 21"], ["z", "g + 3", "g + 24"], ["g", "a + 12", "a + 36"], ["a", "s + 6", "s + 42"], ["s", 12, "54"]], "target_var_name": "n", "target_value": 54, "value_dict": {"s": 12}, "is_reverse": true}} | 21,663 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = m + 7; m = z + 11; n = j + 3; p = u + 8; g = a + 12; s = 12; y = e + 6; v = c + 17; a = s + 6; c = p + 5; u = s + 2; z = g + 3; e = v + 9. Given that s = 12, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = m + 7 to n, which gives n = m + 10.\n2. Substitute m = z + 11 to n, which gives n = z + 21.\n3. Substitute z = g + 3 to n, which gives n = g + 24.\n4. Substitute g = a + 12 to n, which gives n = a + 36.\n5. Substitute a = s + 6 to n, which gives n = s + 42.\n6. Substitute s = 12 to n, which gives n = 54.\n\nThus, the final answer is n = \\boxed{54}.",
"index": 21663,
"question": "Suppose a collection of variables is related by the following definitions: j = m + 7; m = z + 11; n = j + 3; p = u + 8; g = a + 12; s = 12; y = e + 6; v = c + 17; a = s + 6; c = p + 5; u = s + 2; z = g + 3; e = v + 9. Given that s = 12, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"a": "i + 13", "d": "a + 4", "y": "d + 14", "u": "y + 2", "b": "u + 14", "p": "b + 17", "k": "i + 8", "w": "k + 8", "t": "w + 8", "q": "t + 4", "o": "q + 2", "z": "o + 7", "i": 18}, "premises": {"i": 18}, "target": "p"}, "answer": {"steps": [["b", "u + 14", "u + 31"], ["u", "y + 2", "y + 33"], ["y", "d + 14", "d + 47"], ["d", "a + 4", "a + 51"], ["a", "i + 13", "i + 64"], ["i", 18, "82"]], "target_var_name": "p", "target_value": 82, "value_dict": {"i": 18}, "is_reverse": true}} | 21,664 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = o + 7; o = q + 2; w = k + 8; i = 18; p = b + 17; y = d + 14; d = a + 4; b = u + 14; t = w + 8; u = y + 2; q = t + 4; k = i + 8; a = i + 13. If i = 18, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = u + 14 to p, which gives p = u + 31.\n2. Substitute u = y + 2 to p, which gives p = y + 33.\n3. Substitute y = d + 14 to p, which gives p = d + 47.\n4. Substitute d = a + 4 to p, which gives p = a + 51.\n5. Substitute a = i + 13 to p, which gives p = i + 64.\n6. Substitute i = 18 to p, which gives p = 82.\n\nThus, the final answer is p = \\boxed{82}.",
"index": 21664,
"question": "Consider a system of variables where each variable is defined as follows: z = o + 7; o = q + 2; w = k + 8; i = 18; p = b + 17; y = d + 14; d = a + 4; b = u + 14; t = w + 8; u = y + 2; q = t + 4; k = i + 8; a = i + 13. If i = 18, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"g": "p + 7", "b": "g + 3", "m": "b + 4", "h": "m + 19", "u": "h + 8", "c": "u + 14", "a": "p + 9", "x": "a + 3", "z": "x + 20", "y": "z + 20", "i": "y + 4", "l": "i + 18", "p": 13}, "premises": {"p": 13}, "target": "c"}, "answer": {"steps": [["u", "h + 8", "h + 22"], ["h", "m + 19", "m + 41"], ["m", "b + 4", "b + 45"], ["b", "g + 3", "g + 48"], ["g", "p + 7", "p + 55"], ["p", 13, "68"]], "target_var_name": "c", "target_value": 68, "value_dict": {"p": 13}, "is_reverse": true}} | 21,665 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = g + 3; i = y + 4; c = u + 14; z = x + 20; g = p + 7; m = b + 4; u = h + 8; y = z + 20; a = p + 9; l = i + 18; h = m + 19; x = a + 3; p = 13. If p = 13, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = h + 8 to c, which gives c = h + 22.\n2. Substitute h = m + 19 to c, which gives c = m + 41.\n3. Substitute m = b + 4 to c, which gives c = b + 45.\n4. Substitute b = g + 3 to c, which gives c = g + 48.\n5. Substitute g = p + 7 to c, which gives c = p + 55.\n6. Substitute p = 13 to c, which gives c = 68.\n\nThus, the final answer is c = \\boxed{68}.",
"index": 21665,
"question": "Consider a system of variables where each variable is defined as follows: b = g + 3; i = y + 4; c = u + 14; z = x + 20; g = p + 7; m = b + 4; u = h + 8; y = z + 20; a = p + 9; l = i + 18; h = m + 19; x = a + 3; p = 13. If p = 13, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"f": "o + 19", "l": "f + 16", "y": "l + 7", "a": "y + 12", "e": "a + 1", "w": "e + 2", "m": "o + 20", "x": "m + 14", "b": "x + 5", "r": "b + 17", "z": "r + 14", "s": "z + 1", "o": 4}, "premises": {"o": 4}, "target": "w"}, "answer": {"steps": [["e", "a + 1", "a + 3"], ["a", "y + 12", "y + 15"], ["y", "l + 7", "l + 22"], ["l", "f + 16", "f + 38"], ["f", "o + 19", "o + 57"], ["o", 4, "61"]], "target_var_name": "w", "target_value": 61, "value_dict": {"o": 4}, "is_reverse": true}} | 21,666 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = o + 20; b = x + 5; e = a + 1; a = y + 12; y = l + 7; r = b + 17; o = 4; l = f + 16; x = m + 14; s = z + 1; z = r + 14; f = o + 19; w = e + 2. Given that o = 4, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = a + 1 to w, which gives w = a + 3.\n2. Substitute a = y + 12 to w, which gives w = y + 15.\n3. Substitute y = l + 7 to w, which gives w = l + 22.\n4. Substitute l = f + 16 to w, which gives w = f + 38.\n5. Substitute f = o + 19 to w, which gives w = o + 57.\n6. Substitute o = 4 to w, which gives w = 61.\n\nThus, the final answer is w = \\boxed{61}.",
"index": 21666,
"question": "Suppose a collection of variables is related by the following definitions: m = o + 20; b = x + 5; e = a + 1; a = y + 12; y = l + 7; r = b + 17; o = 4; l = f + 16; x = m + 14; s = z + 1; z = r + 14; f = o + 19; w = e + 2. Given that o = 4, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"z": "d + 3", "e": "z + 11", "f": "e + 19", "r": "f + 12", "x": "r + 4", "o": "x + 19", "w": "d + 3", "l": "w + 7", "k": "l + 6", "p": "k + 5", "n": "p + 12", "v": "n + 9", "d": 8}, "premises": {"d": 8}, "target": "o"}, "answer": {"steps": [["x", "r + 4", "r + 23"], ["r", "f + 12", "f + 35"], ["f", "e + 19", "e + 54"], ["e", "z + 11", "z + 65"], ["z", "d + 3", "d + 68"], ["d", 8, "76"]], "target_var_name": "o", "target_value": 76, "value_dict": {"d": 8}, "is_reverse": true}} | 21,667 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = w + 7; r = f + 12; v = n + 9; x = r + 4; f = e + 19; n = p + 12; k = l + 6; z = d + 3; o = x + 19; e = z + 11; p = k + 5; w = d + 3; d = 8. If d = 8, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = r + 4 to o, which gives o = r + 23.\n2. Substitute r = f + 12 to o, which gives o = f + 35.\n3. Substitute f = e + 19 to o, which gives o = e + 54.\n4. Substitute e = z + 11 to o, which gives o = z + 65.\n5. Substitute z = d + 3 to o, which gives o = d + 68.\n6. Substitute d = 8 to o, which gives o = 76.\n\nThus, the final answer is o = \\boxed{76}.",
"index": 21667,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = w + 7; r = f + 12; v = n + 9; x = r + 4; f = e + 19; n = p + 12; k = l + 6; z = d + 3; o = x + 19; e = z + 11; p = k + 5; w = d + 3; d = 8. If d = 8, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"m": "u + 10", "t": "m + 11", "z": "t + 11", "o": "z + 4", "g": "o + 12", "j": "g + 6", "b": "u + 15", "w": "b + 5", "p": "w + 12", "r": "p + 2", "q": "r + 18", "h": "q + 3", "u": 9}, "premises": {"u": 9}, "target": "j"}, "answer": {"steps": [["g", "o + 12", "o + 18"], ["o", "z + 4", "z + 22"], ["z", "t + 11", "t + 33"], ["t", "m + 11", "m + 44"], ["m", "u + 10", "u + 54"], ["u", 9, "63"]], "target_var_name": "j", "target_value": 63, "value_dict": {"u": 9}, "is_reverse": true}} | 21,668 | 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 + 6; b = u + 15; r = p + 2; w = b + 5; o = z + 4; u = 9; z = t + 11; p = w + 12; m = u + 10; g = o + 12; t = m + 11; q = r + 18; h = q + 3. If u = 9, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = o + 12 to j, which gives j = o + 18.\n2. Substitute o = z + 4 to j, which gives j = z + 22.\n3. Substitute z = t + 11 to j, which gives j = t + 33.\n4. Substitute t = m + 11 to j, which gives j = m + 44.\n5. Substitute m = u + 10 to j, which gives j = u + 54.\n6. Substitute u = 9 to j, which gives j = 63.\n\nThus, the final answer is j = \\boxed{63}.",
"index": 21668,
"question": "Consider a system of variables where each variable is defined as follows: j = g + 6; b = u + 15; r = p + 2; w = b + 5; o = z + 4; u = 9; z = t + 11; p = w + 12; m = u + 10; g = o + 12; t = m + 11; q = r + 18; h = q + 3. If u = 9, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"s": "a + 5", "r": "s + 8", "x": "r + 16", "f": "x + 14", "n": "f + 13", "j": "n + 1", "m": "a + 5", "e": "m + 8", "o": "e + 1", "v": "o + 16", "q": "v + 15", "i": "q + 14", "a": 12}, "premises": {"a": 12}, "target": "j"}, "answer": {"steps": [["n", "f + 13", "f + 14"], ["f", "x + 14", "x + 28"], ["x", "r + 16", "r + 44"], ["r", "s + 8", "s + 52"], ["s", "a + 5", "a + 57"], ["a", 12, "69"]], "target_var_name": "j", "target_value": 69, "value_dict": {"a": 12}, "is_reverse": true}} | 21,669 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = a + 5; e = m + 8; x = r + 16; a = 12; r = s + 8; n = f + 13; i = q + 14; m = a + 5; j = n + 1; o = e + 1; q = v + 15; f = x + 14; v = o + 16. Given that a = 12, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = f + 13 to j, which gives j = f + 14.\n2. Substitute f = x + 14 to j, which gives j = x + 28.\n3. Substitute x = r + 16 to j, which gives j = r + 44.\n4. Substitute r = s + 8 to j, which gives j = s + 52.\n5. Substitute s = a + 5 to j, which gives j = a + 57.\n6. Substitute a = 12 to j, which gives j = 69.\n\nThus, the final answer is j = \\boxed{69}.",
"index": 21669,
"question": "Suppose a collection of variables is related by the following definitions: s = a + 5; e = m + 8; x = r + 16; a = 12; r = s + 8; n = f + 13; i = q + 14; m = a + 5; j = n + 1; o = e + 1; q = v + 15; f = x + 14; v = o + 16. Given that a = 12, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"k": "l + 18", "t": "k + 16", "r": "t + 9", "e": "r + 3", "o": "e + 11", "m": "o + 14", "v": "l + 16", "c": "v + 7", "s": "c + 10", "a": "s + 8", "h": "a + 17", "b": "h + 12", "l": 16}, "premises": {"l": 16}, "target": "m"}, "answer": {"steps": [["o", "e + 11", "e + 25"], ["e", "r + 3", "r + 28"], ["r", "t + 9", "t + 37"], ["t", "k + 16", "k + 53"], ["k", "l + 18", "l + 71"], ["l", 16, "87"]], "target_var_name": "m", "target_value": 87, "value_dict": {"l": 16}, "is_reverse": true}} | 21,670 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = v + 7; v = l + 16; b = h + 12; o = e + 11; e = r + 3; a = s + 8; m = o + 14; l = 16; r = t + 9; t = k + 16; h = a + 17; s = c + 10; k = l + 18. Given that l = 16, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = e + 11 to m, which gives m = e + 25.\n2. Substitute e = r + 3 to m, which gives m = r + 28.\n3. Substitute r = t + 9 to m, which gives m = t + 37.\n4. Substitute t = k + 16 to m, which gives m = k + 53.\n5. Substitute k = l + 18 to m, which gives m = l + 71.\n6. Substitute l = 16 to m, which gives m = 87.\n\nThus, the final answer is m = \\boxed{87}.",
"index": 21670,
"question": "Suppose a collection of variables is related by the following definitions: c = v + 7; v = l + 16; b = h + 12; o = e + 11; e = r + 3; a = s + 8; m = o + 14; l = 16; r = t + 9; t = k + 16; h = a + 17; s = c + 10; k = l + 18. Given that l = 16, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"l": "n + 16", "v": "l + 15", "i": "v + 19", "c": "i + 8", "j": "c + 19", "e": "j + 8", "s": "n + 2", "z": "s + 1", "q": "z + 10", "g": "q + 18", "d": "g + 19", "p": "d + 5", "n": 11}, "premises": {"n": 11}, "target": "e"}, "answer": {"steps": [["j", "c + 19", "c + 27"], ["c", "i + 8", "i + 35"], ["i", "v + 19", "v + 54"], ["v", "l + 15", "l + 69"], ["l", "n + 16", "n + 85"], ["n", 11, "96"]], "target_var_name": "e", "target_value": 96, "value_dict": {"n": 11}, "is_reverse": true}} | 21,671 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = n + 16; i = v + 19; v = l + 15; q = z + 10; z = s + 1; e = j + 8; g = q + 18; d = g + 19; n = 11; j = c + 19; p = d + 5; s = n + 2; c = i + 8. If n = 11, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = c + 19 to e, which gives e = c + 27.\n2. Substitute c = i + 8 to e, which gives e = i + 35.\n3. Substitute i = v + 19 to e, which gives e = v + 54.\n4. Substitute v = l + 15 to e, which gives e = l + 69.\n5. Substitute l = n + 16 to e, which gives e = n + 85.\n6. Substitute n = 11 to e, which gives e = 96.\n\nThus, the final answer is e = \\boxed{96}.",
"index": 21671,
"question": "Consider a system of variables where each variable is defined as follows: l = n + 16; i = v + 19; v = l + 15; q = z + 10; z = s + 1; e = j + 8; g = q + 18; d = g + 19; n = 11; j = c + 19; p = d + 5; s = n + 2; c = i + 8. If n = 11, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"n": "g + 4", "k": "n + 2", "j": "k + 20", "v": "j + 13", "e": "v + 9", "r": "e + 12", "u": "g + 7", "l": "u + 18", "q": "l + 5", "o": "q + 14", "t": "o + 1", "c": "t + 10", "g": 19}, "premises": {"g": 19}, "target": "r"}, "answer": {"steps": [["e", "v + 9", "v + 21"], ["v", "j + 13", "j + 34"], ["j", "k + 20", "k + 54"], ["k", "n + 2", "n + 56"], ["n", "g + 4", "g + 60"], ["g", 19, "79"]], "target_var_name": "r", "target_value": 79, "value_dict": {"g": 19}, "is_reverse": true}} | 21,672 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = g + 7; n = g + 4; v = j + 13; k = n + 2; l = u + 18; g = 19; c = t + 10; r = e + 12; j = k + 20; q = l + 5; t = o + 1; o = q + 14; e = v + 9. If g = 19, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = v + 9 to r, which gives r = v + 21.\n2. Substitute v = j + 13 to r, which gives r = j + 34.\n3. Substitute j = k + 20 to r, which gives r = k + 54.\n4. Substitute k = n + 2 to r, which gives r = n + 56.\n5. Substitute n = g + 4 to r, which gives r = g + 60.\n6. Substitute g = 19 to r, which gives r = 79.\n\nThus, the final answer is r = \\boxed{79}.",
"index": 21672,
"question": "Consider a system of variables where each variable is defined as follows: u = g + 7; n = g + 4; v = j + 13; k = n + 2; l = u + 18; g = 19; c = t + 10; r = e + 12; j = k + 20; q = l + 5; t = o + 1; o = q + 14; e = v + 9. If g = 19, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"j": "s + 11", "c": "j + 9", "t": "c + 12", "q": "t + 20", "d": "q + 11", "w": "d + 20", "x": "s + 18", "g": "x + 4", "h": "g + 15", "l": "h + 17", "p": "l + 19", "b": "p + 2", "s": 9}, "premises": {"s": 9}, "target": "w"}, "answer": {"steps": [["d", "q + 11", "q + 31"], ["q", "t + 20", "t + 51"], ["t", "c + 12", "c + 63"], ["c", "j + 9", "j + 72"], ["j", "s + 11", "s + 83"], ["s", 9, "92"]], "target_var_name": "w", "target_value": 92, "value_dict": {"s": 9}, "is_reverse": true}} | 21,673 | 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 = s + 18; g = x + 4; d = q + 11; t = c + 12; q = t + 20; j = s + 11; l = h + 17; p = l + 19; w = d + 20; c = j + 9; s = 9; b = p + 2; h = g + 15. If s = 9, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = q + 11 to w, which gives w = q + 31.\n2. Substitute q = t + 20 to w, which gives w = t + 51.\n3. Substitute t = c + 12 to w, which gives w = c + 63.\n4. Substitute c = j + 9 to w, which gives w = j + 72.\n5. Substitute j = s + 11 to w, which gives w = s + 83.\n6. Substitute s = 9 to w, which gives w = 92.\n\nThus, the final answer is w = \\boxed{92}.",
"index": 21673,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = s + 18; g = x + 4; d = q + 11; t = c + 12; q = t + 20; j = s + 11; l = h + 17; p = l + 19; w = d + 20; c = j + 9; s = 9; b = p + 2; h = g + 15. If s = 9, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"i": "x + 9", "r": "i + 4", "n": "r + 17", "q": "n + 4", "v": "q + 10", "t": "v + 14", "z": "x + 16", "p": "z + 14", "j": "p + 6", "b": "j + 8", "s": "b + 1", "f": "s + 16", "x": 10}, "premises": {"x": 10}, "target": "t"}, "answer": {"steps": [["v", "q + 10", "q + 24"], ["q", "n + 4", "n + 28"], ["n", "r + 17", "r + 45"], ["r", "i + 4", "i + 49"], ["i", "x + 9", "x + 58"], ["x", 10, "68"]], "target_var_name": "t", "target_value": 68, "value_dict": {"x": 10}, "is_reverse": true}} | 21,674 | 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 = x + 16; x = 10; v = q + 10; n = r + 17; i = x + 9; s = b + 1; p = z + 14; q = n + 4; j = p + 6; t = v + 14; r = i + 4; b = j + 8; f = s + 16. If x = 10, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = q + 10 to t, which gives t = q + 24.\n2. Substitute q = n + 4 to t, which gives t = n + 28.\n3. Substitute n = r + 17 to t, which gives t = r + 45.\n4. Substitute r = i + 4 to t, which gives t = i + 49.\n5. Substitute i = x + 9 to t, which gives t = x + 58.\n6. Substitute x = 10 to t, which gives t = 68.\n\nThus, the final answer is t = \\boxed{68}.",
"index": 21674,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = x + 16; x = 10; v = q + 10; n = r + 17; i = x + 9; s = b + 1; p = z + 14; q = n + 4; j = p + 6; t = v + 14; r = i + 4; b = j + 8; f = s + 16. If x = 10, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"e": "a + 8", "n": "e + 9", "t": "n + 9", "l": "t + 8", "f": "l + 15", "s": "f + 3", "d": "a + 12", "g": "d + 20", "y": "g + 1", "i": "y + 4", "q": "i + 8", "w": "q + 5", "a": 16}, "premises": {"a": 16}, "target": "s"}, "answer": {"steps": [["f", "l + 15", "l + 18"], ["l", "t + 8", "t + 26"], ["t", "n + 9", "n + 35"], ["n", "e + 9", "e + 44"], ["e", "a + 8", "a + 52"], ["a", 16, "68"]], "target_var_name": "s", "target_value": 68, "value_dict": {"a": 16}, "is_reverse": true}} | 21,675 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = e + 9; s = f + 3; l = t + 8; t = n + 9; y = g + 1; w = q + 5; f = l + 15; e = a + 8; g = d + 20; i = y + 4; q = i + 8; a = 16; d = a + 12. If a = 16, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = l + 15 to s, which gives s = l + 18.\n2. Substitute l = t + 8 to s, which gives s = t + 26.\n3. Substitute t = n + 9 to s, which gives s = n + 35.\n4. Substitute n = e + 9 to s, which gives s = e + 44.\n5. Substitute e = a + 8 to s, which gives s = a + 52.\n6. Substitute a = 16 to s, which gives s = 68.\n\nThus, the final answer is s = \\boxed{68}.",
"index": 21675,
"question": "Consider a system of variables where each variable is defined as follows: n = e + 9; s = f + 3; l = t + 8; t = n + 9; y = g + 1; w = q + 5; f = l + 15; e = a + 8; g = d + 20; i = y + 4; q = i + 8; a = 16; d = a + 12. If a = 16, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"u": "d + 12", "r": "u + 14", "g": "r + 11", "e": "g + 6", "l": "e + 1", "f": "l + 16", "o": "d + 18", "t": "o + 7", "s": "t + 16", "c": "s + 3", "x": "c + 5", "h": "x + 20", "d": 18}, "premises": {"d": 18}, "target": "f"}, "answer": {"steps": [["l", "e + 1", "e + 17"], ["e", "g + 6", "g + 23"], ["g", "r + 11", "r + 34"], ["r", "u + 14", "u + 48"], ["u", "d + 12", "d + 60"], ["d", 18, "78"]], "target_var_name": "f", "target_value": 78, "value_dict": {"d": 18}, "is_reverse": true}} | 21,676 | 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 = u + 14; u = d + 12; l = e + 1; c = s + 3; d = 18; f = l + 16; e = g + 6; g = r + 11; t = o + 7; o = d + 18; h = x + 20; s = t + 16; x = c + 5. If d = 18, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = e + 1 to f, which gives f = e + 17.\n2. Substitute e = g + 6 to f, which gives f = g + 23.\n3. Substitute g = r + 11 to f, which gives f = r + 34.\n4. Substitute r = u + 14 to f, which gives f = u + 48.\n5. Substitute u = d + 12 to f, which gives f = d + 60.\n6. Substitute d = 18 to f, which gives f = 78.\n\nThus, the final answer is f = \\boxed{78}.",
"index": 21676,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = u + 14; u = d + 12; l = e + 1; c = s + 3; d = 18; f = l + 16; e = g + 6; g = r + 11; t = o + 7; o = d + 18; h = x + 20; s = t + 16; x = c + 5. If d = 18, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"w": "z + 19", "m": "w + 15", "q": "m + 20", "b": "q + 7", "j": "b + 19", "p": "j + 7", "v": "z + 8", "d": "v + 12", "f": "d + 11", "s": "f + 17", "e": "s + 13", "r": "e + 8", "z": 17}, "premises": {"z": 17}, "target": "p"}, "answer": {"steps": [["j", "b + 19", "b + 26"], ["b", "q + 7", "q + 33"], ["q", "m + 20", "m + 53"], ["m", "w + 15", "w + 68"], ["w", "z + 19", "z + 87"], ["z", 17, "104"]], "target_var_name": "p", "target_value": 104, "value_dict": {"z": 17}, "is_reverse": true}} | 21,677 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = m + 20; f = d + 11; e = s + 13; z = 17; s = f + 17; d = v + 12; w = z + 19; j = b + 19; b = q + 7; m = w + 15; p = j + 7; v = z + 8; r = e + 8. Given that z = 17, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 104,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = b + 19 to p, which gives p = b + 26.\n2. Substitute b = q + 7 to p, which gives p = q + 33.\n3. Substitute q = m + 20 to p, which gives p = m + 53.\n4. Substitute m = w + 15 to p, which gives p = w + 68.\n5. Substitute w = z + 19 to p, which gives p = z + 87.\n6. Substitute z = 17 to p, which gives p = 104.\n\nThus, the final answer is p = \\boxed{104}.",
"index": 21677,
"question": "Suppose a collection of variables is related by the following definitions: q = m + 20; f = d + 11; e = s + 13; z = 17; s = f + 17; d = v + 12; w = z + 19; j = b + 19; b = q + 7; m = w + 15; p = j + 7; v = z + 8; r = e + 8. Given that z = 17, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"t": "x + 7", "c": "t + 1", "f": "c + 17", "u": "f + 14", "y": "u + 13", "j": "y + 18", "p": "x + 19", "i": "p + 16", "q": "i + 11", "k": "q + 15", "b": "k + 4", "w": "b + 19", "x": 7}, "premises": {"x": 7}, "target": "j"}, "answer": {"steps": [["y", "u + 13", "u + 31"], ["u", "f + 14", "f + 45"], ["f", "c + 17", "c + 62"], ["c", "t + 1", "t + 63"], ["t", "x + 7", "x + 70"], ["x", 7, "77"]], "target_var_name": "j", "target_value": 77, "value_dict": {"x": 7}, "is_reverse": true}} | 21,678 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = f + 14; k = q + 15; b = k + 4; c = t + 1; t = x + 7; q = i + 11; j = y + 18; y = u + 13; f = c + 17; x = 7; i = p + 16; w = b + 19; p = x + 19. If x = 7, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = u + 13 to j, which gives j = u + 31.\n2. Substitute u = f + 14 to j, which gives j = f + 45.\n3. Substitute f = c + 17 to j, which gives j = c + 62.\n4. Substitute c = t + 1 to j, which gives j = t + 63.\n5. Substitute t = x + 7 to j, which gives j = x + 70.\n6. Substitute x = 7 to j, which gives j = 77.\n\nThus, the final answer is j = \\boxed{77}.",
"index": 21678,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = f + 14; k = q + 15; b = k + 4; c = t + 1; t = x + 7; q = i + 11; j = y + 18; y = u + 13; f = c + 17; x = 7; i = p + 16; w = b + 19; p = x + 19. If x = 7, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"u": "i + 3", "w": "u + 20", "p": "w + 9", "a": "p + 19", "e": "a + 15", "z": "e + 4", "y": "i + 10", "f": "y + 16", "v": "f + 7", "b": "v + 2", "s": "b + 20", "r": "s + 9", "i": 10}, "premises": {"i": 10}, "target": "z"}, "answer": {"steps": [["e", "a + 15", "a + 19"], ["a", "p + 19", "p + 38"], ["p", "w + 9", "w + 47"], ["w", "u + 20", "u + 67"], ["u", "i + 3", "i + 70"], ["i", 10, "80"]], "target_var_name": "z", "target_value": 80, "value_dict": {"i": 10}, "is_reverse": true}} | 21,679 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = 10; f = y + 16; r = s + 9; b = v + 2; p = w + 9; w = u + 20; u = i + 3; e = a + 15; z = e + 4; y = i + 10; s = b + 20; a = p + 19; v = f + 7. Given that i = 10, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = a + 15 to z, which gives z = a + 19.\n2. Substitute a = p + 19 to z, which gives z = p + 38.\n3. Substitute p = w + 9 to z, which gives z = w + 47.\n4. Substitute w = u + 20 to z, which gives z = u + 67.\n5. Substitute u = i + 3 to z, which gives z = i + 70.\n6. Substitute i = 10 to z, which gives z = 80.\n\nThus, the final answer is z = \\boxed{80}.",
"index": 21679,
"question": "Suppose a collection of variables is related by the following definitions: i = 10; f = y + 16; r = s + 9; b = v + 2; p = w + 9; w = u + 20; u = i + 3; e = a + 15; z = e + 4; y = i + 10; s = b + 20; a = p + 19; v = f + 7. Given that i = 10, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"u": "c + 18", "w": "u + 4", "b": "w + 1", "e": "b + 9", "m": "e + 2", "n": "m + 9", "a": "c + 12", "f": "a + 10", "j": "f + 15", "x": "j + 16", "s": "x + 6", "d": "s + 12", "c": 1}, "premises": {"c": 1}, "target": "n"}, "answer": {"steps": [["m", "e + 2", "e + 11"], ["e", "b + 9", "b + 20"], ["b", "w + 1", "w + 21"], ["w", "u + 4", "u + 25"], ["u", "c + 18", "c + 43"], ["c", 1, "44"]], "target_var_name": "n", "target_value": 44, "value_dict": {"c": 1}, "is_reverse": true}} | 21,680 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = x + 6; a = c + 12; u = c + 18; c = 1; w = u + 4; e = b + 9; d = s + 12; f = a + 10; n = m + 9; b = w + 1; x = j + 16; m = e + 2; j = f + 15. If c = 1, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 44,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = e + 2 to n, which gives n = e + 11.\n2. Substitute e = b + 9 to n, which gives n = b + 20.\n3. Substitute b = w + 1 to n, which gives n = w + 21.\n4. Substitute w = u + 4 to n, which gives n = u + 25.\n5. Substitute u = c + 18 to n, which gives n = c + 43.\n6. Substitute c = 1 to n, which gives n = 44.\n\nThus, the final answer is n = \\boxed{44}.",
"index": 21680,
"question": "Consider a system of variables where each variable is defined as follows: s = x + 6; a = c + 12; u = c + 18; c = 1; w = u + 4; e = b + 9; d = s + 12; f = a + 10; n = m + 9; b = w + 1; x = j + 16; m = e + 2; j = f + 15. If c = 1, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"a": "d + 10", "v": "a + 3", "y": "v + 4", "r": "y + 3", "h": "r + 8", "j": "h + 17", "u": "d + 17", "l": "u + 3", "q": "l + 13", "s": "q + 1", "b": "s + 6", "i": "b + 16", "d": 18}, "premises": {"d": 18}, "target": "j"}, "answer": {"steps": [["h", "r + 8", "r + 25"], ["r", "y + 3", "y + 28"], ["y", "v + 4", "v + 32"], ["v", "a + 3", "a + 35"], ["a", "d + 10", "d + 45"], ["d", 18, "63"]], "target_var_name": "j", "target_value": 63, "value_dict": {"d": 18}, "is_reverse": true}} | 21,681 | 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 + 16; v = a + 3; u = d + 17; b = s + 6; a = d + 10; s = q + 1; r = y + 3; j = h + 17; q = l + 13; h = r + 8; d = 18; l = u + 3; y = v + 4. If d = 18, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = r + 8 to j, which gives j = r + 25.\n2. Substitute r = y + 3 to j, which gives j = y + 28.\n3. Substitute y = v + 4 to j, which gives j = v + 32.\n4. Substitute v = a + 3 to j, which gives j = a + 35.\n5. Substitute a = d + 10 to j, which gives j = d + 45.\n6. Substitute d = 18 to j, which gives j = 63.\n\nThus, the final answer is j = \\boxed{63}.",
"index": 21681,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = b + 16; v = a + 3; u = d + 17; b = s + 6; a = d + 10; s = q + 1; r = y + 3; j = h + 17; q = l + 13; h = r + 8; d = 18; l = u + 3; y = v + 4. If d = 18, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"f": "t + 2", "q": "f + 13", "x": "q + 14", "b": "x + 13", "r": "b + 1", "g": "r + 14", "n": "t + 1", "z": "n + 16", "l": "z + 2", "h": "l + 9", "s": "h + 13", "e": "s + 19", "t": 2}, "premises": {"t": 2}, "target": "g"}, "answer": {"steps": [["r", "b + 1", "b + 15"], ["b", "x + 13", "x + 28"], ["x", "q + 14", "q + 42"], ["q", "f + 13", "f + 55"], ["f", "t + 2", "t + 57"], ["t", 2, "59"]], "target_var_name": "g", "target_value": 59, "value_dict": {"t": 2}, "is_reverse": true}} | 21,682 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = q + 14; l = z + 2; f = t + 2; n = t + 1; g = r + 14; s = h + 13; q = f + 13; e = s + 19; r = b + 1; b = x + 13; h = l + 9; z = n + 16; t = 2. If t = 2, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = b + 1 to g, which gives g = b + 15.\n2. Substitute b = x + 13 to g, which gives g = x + 28.\n3. Substitute x = q + 14 to g, which gives g = q + 42.\n4. Substitute q = f + 13 to g, which gives g = f + 55.\n5. Substitute f = t + 2 to g, which gives g = t + 57.\n6. Substitute t = 2 to g, which gives g = 59.\n\nThus, the final answer is g = \\boxed{59}.",
"index": 21682,
"question": "Consider a system of variables where each variable is defined as follows: x = q + 14; l = z + 2; f = t + 2; n = t + 1; g = r + 14; s = h + 13; q = f + 13; e = s + 19; r = b + 1; b = x + 13; h = l + 9; z = n + 16; t = 2. If t = 2, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"n": "h + 20", "k": "n + 19", "r": "k + 3", "q": "r + 16", "g": "q + 15", "l": "g + 8", "i": "h + 20", "y": "i + 9", "c": "y + 4", "z": "c + 10", "v": "z + 10", "o": "v + 6", "h": 1}, "premises": {"h": 1}, "target": "l"}, "answer": {"steps": [["g", "q + 15", "q + 23"], ["q", "r + 16", "r + 39"], ["r", "k + 3", "k + 42"], ["k", "n + 19", "n + 61"], ["n", "h + 20", "h + 81"], ["h", 1, "82"]], "target_var_name": "l", "target_value": 82, "value_dict": {"h": 1}, "is_reverse": true}} | 21,683 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = 1; n = h + 20; o = v + 6; g = q + 15; q = r + 16; l = g + 8; c = y + 4; y = i + 9; v = z + 10; z = c + 10; k = n + 19; r = k + 3; i = h + 20. Given that h = 1, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = q + 15 to l, which gives l = q + 23.\n2. Substitute q = r + 16 to l, which gives l = r + 39.\n3. Substitute r = k + 3 to l, which gives l = k + 42.\n4. Substitute k = n + 19 to l, which gives l = n + 61.\n5. Substitute n = h + 20 to l, which gives l = h + 81.\n6. Substitute h = 1 to l, which gives l = 82.\n\nThus, the final answer is l = \\boxed{82}.",
"index": 21683,
"question": "Suppose a collection of variables is related by the following definitions: h = 1; n = h + 20; o = v + 6; g = q + 15; q = r + 16; l = g + 8; c = y + 4; y = i + 9; v = z + 10; z = c + 10; k = n + 19; r = k + 3; i = h + 20. Given that h = 1, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"e": "y + 13", "o": "e + 13", "z": "o + 5", "t": "z + 17", "n": "t + 18", "m": "n + 3", "b": "y + 5", "x": "b + 3", "c": "x + 12", "r": "c + 13", "q": "r + 13", "j": "q + 3", "y": 17}, "premises": {"y": 17}, "target": "m"}, "answer": {"steps": [["n", "t + 18", "t + 21"], ["t", "z + 17", "z + 38"], ["z", "o + 5", "o + 43"], ["o", "e + 13", "e + 56"], ["e", "y + 13", "y + 69"], ["y", 17, "86"]], "target_var_name": "m", "target_value": 86, "value_dict": {"y": 17}, "is_reverse": true}} | 21,684 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = o + 5; x = b + 3; c = x + 12; r = c + 13; j = q + 3; m = n + 3; e = y + 13; t = z + 17; q = r + 13; y = 17; o = e + 13; n = t + 18; b = y + 5. Given that y = 17, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = t + 18 to m, which gives m = t + 21.\n2. Substitute t = z + 17 to m, which gives m = z + 38.\n3. Substitute z = o + 5 to m, which gives m = o + 43.\n4. Substitute o = e + 13 to m, which gives m = e + 56.\n5. Substitute e = y + 13 to m, which gives m = y + 69.\n6. Substitute y = 17 to m, which gives m = 86.\n\nThus, the final answer is m = \\boxed{86}.",
"index": 21684,
"question": "Suppose a collection of variables is related by the following definitions: z = o + 5; x = b + 3; c = x + 12; r = c + 13; j = q + 3; m = n + 3; e = y + 13; t = z + 17; q = r + 13; y = 17; o = e + 13; n = t + 18; b = y + 5. Given that y = 17, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"a": "g + 11", "l": "a + 14", "s": "l + 9", "k": "s + 9", "i": "k + 7", "v": "i + 16", "w": "g + 1", "o": "w + 19", "r": "o + 10", "u": "r + 3", "m": "u + 2", "j": "m + 17", "g": 16}, "premises": {"g": 16}, "target": "v"}, "answer": {"steps": [["i", "k + 7", "k + 23"], ["k", "s + 9", "s + 32"], ["s", "l + 9", "l + 41"], ["l", "a + 14", "a + 55"], ["a", "g + 11", "g + 66"], ["g", 16, "82"]], "target_var_name": "v", "target_value": 82, "value_dict": {"g": 16}, "is_reverse": true}} | 21,685 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = g + 1; v = i + 16; k = s + 9; l = a + 14; u = r + 3; g = 16; i = k + 7; m = u + 2; a = g + 11; r = o + 10; o = w + 19; j = m + 17; s = l + 9. If g = 16, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = k + 7 to v, which gives v = k + 23.\n2. Substitute k = s + 9 to v, which gives v = s + 32.\n3. Substitute s = l + 9 to v, which gives v = l + 41.\n4. Substitute l = a + 14 to v, which gives v = a + 55.\n5. Substitute a = g + 11 to v, which gives v = g + 66.\n6. Substitute g = 16 to v, which gives v = 82.\n\nThus, the final answer is v = \\boxed{82}.",
"index": 21685,
"question": "Consider a system of variables where each variable is defined as follows: w = g + 1; v = i + 16; k = s + 9; l = a + 14; u = r + 3; g = 16; i = k + 7; m = u + 2; a = g + 11; r = o + 10; o = w + 19; j = m + 17; s = l + 9. If g = 16, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"m": "o + 3", "i": "m + 6", "j": "i + 2", "k": "j + 18", "s": "k + 20", "a": "s + 9", "y": "o + 10", "l": "y + 9", "p": "l + 2", "v": "p + 15", "z": "v + 3", "f": "z + 5", "o": 9}, "premises": {"o": 9}, "target": "a"}, "answer": {"steps": [["s", "k + 20", "k + 29"], ["k", "j + 18", "j + 47"], ["j", "i + 2", "i + 49"], ["i", "m + 6", "m + 55"], ["m", "o + 3", "o + 58"], ["o", 9, "67"]], "target_var_name": "a", "target_value": 67, "value_dict": {"o": 9}, "is_reverse": true}} | 21,686 | 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 = l + 2; m = o + 3; v = p + 15; y = o + 10; j = i + 2; s = k + 20; a = s + 9; k = j + 18; z = v + 3; f = z + 5; o = 9; i = m + 6; l = y + 9. If o = 9, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = k + 20 to a, which gives a = k + 29.\n2. Substitute k = j + 18 to a, which gives a = j + 47.\n3. Substitute j = i + 2 to a, which gives a = i + 49.\n4. Substitute i = m + 6 to a, which gives a = m + 55.\n5. Substitute m = o + 3 to a, which gives a = o + 58.\n6. Substitute o = 9 to a, which gives a = 67.\n\nThus, the final answer is a = \\boxed{67}.",
"index": 21686,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = l + 2; m = o + 3; v = p + 15; y = o + 10; j = i + 2; s = k + 20; a = s + 9; k = j + 18; z = v + 3; f = z + 5; o = 9; i = m + 6; l = y + 9. If o = 9, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"r": "j + 4", "k": "r + 9", "a": "k + 19", "c": "a + 3", "o": "c + 16", "w": "o + 7", "h": "j + 12", "e": "h + 3", "d": "e + 15", "g": "d + 3", "q": "g + 17", "l": "q + 4", "j": 2}, "premises": {"j": 2}, "target": "w"}, "answer": {"steps": [["o", "c + 16", "c + 23"], ["c", "a + 3", "a + 26"], ["a", "k + 19", "k + 45"], ["k", "r + 9", "r + 54"], ["r", "j + 4", "j + 58"], ["j", 2, "60"]], "target_var_name": "w", "target_value": 60, "value_dict": {"j": 2}, "is_reverse": true}} | 21,687 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = e + 15; l = q + 4; r = j + 4; w = o + 7; c = a + 3; g = d + 3; q = g + 17; h = j + 12; a = k + 19; o = c + 16; e = h + 3; k = r + 9; j = 2. If j = 2, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = c + 16 to w, which gives w = c + 23.\n2. Substitute c = a + 3 to w, which gives w = a + 26.\n3. Substitute a = k + 19 to w, which gives w = k + 45.\n4. Substitute k = r + 9 to w, which gives w = r + 54.\n5. Substitute r = j + 4 to w, which gives w = j + 58.\n6. Substitute j = 2 to w, which gives w = 60.\n\nThus, the final answer is w = \\boxed{60}.",
"index": 21687,
"question": "Consider a system of variables where each variable is defined as follows: d = e + 15; l = q + 4; r = j + 4; w = o + 7; c = a + 3; g = d + 3; q = g + 17; h = j + 12; a = k + 19; o = c + 16; e = h + 3; k = r + 9; j = 2. If j = 2, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"r": "s + 18", "n": "r + 13", "w": "n + 12", "d": "w + 14", "v": "d + 11", "i": "v + 16", "x": "s + 3", "y": "x + 8", "u": "y + 13", "a": "u + 1", "l": "a + 7", "j": "l + 17", "s": 14}, "premises": {"s": 14}, "target": "i"}, "answer": {"steps": [["v", "d + 11", "d + 27"], ["d", "w + 14", "w + 41"], ["w", "n + 12", "n + 53"], ["n", "r + 13", "r + 66"], ["r", "s + 18", "s + 84"], ["s", 14, "98"]], "target_var_name": "i", "target_value": 98, "value_dict": {"s": 14}, "is_reverse": true}} | 21,688 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = w + 14; s = 14; y = x + 8; a = u + 1; x = s + 3; w = n + 12; n = r + 13; v = d + 11; r = s + 18; u = y + 13; j = l + 17; i = v + 16; l = a + 7. Given that s = 14, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = d + 11 to i, which gives i = d + 27.\n2. Substitute d = w + 14 to i, which gives i = w + 41.\n3. Substitute w = n + 12 to i, which gives i = n + 53.\n4. Substitute n = r + 13 to i, which gives i = r + 66.\n5. Substitute r = s + 18 to i, which gives i = s + 84.\n6. Substitute s = 14 to i, which gives i = 98.\n\nThus, the final answer is i = \\boxed{98}.",
"index": 21688,
"question": "Suppose a collection of variables is related by the following definitions: d = w + 14; s = 14; y = x + 8; a = u + 1; x = s + 3; w = n + 12; n = r + 13; v = d + 11; r = s + 18; u = y + 13; j = l + 17; i = v + 16; l = a + 7. Given that s = 14, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"e": "i + 3", "u": "e + 1", "z": "u + 1", "t": "z + 15", "g": "t + 15", "f": "g + 17", "c": "i + 6", "j": "c + 15", "b": "j + 13", "y": "b + 6", "v": "y + 9", "a": "v + 16", "i": 16}, "premises": {"i": 16}, "target": "f"}, "answer": {"steps": [["g", "t + 15", "t + 32"], ["t", "z + 15", "z + 47"], ["z", "u + 1", "u + 48"], ["u", "e + 1", "e + 49"], ["e", "i + 3", "i + 52"], ["i", 16, "68"]], "target_var_name": "f", "target_value": 68, "value_dict": {"i": 16}, "is_reverse": true}} | 21,689 | 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 = i + 6; t = z + 15; j = c + 15; f = g + 17; a = v + 16; g = t + 15; y = b + 6; z = u + 1; v = y + 9; b = j + 13; i = 16; e = i + 3; u = e + 1. If i = 16, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = t + 15 to f, which gives f = t + 32.\n2. Substitute t = z + 15 to f, which gives f = z + 47.\n3. Substitute z = u + 1 to f, which gives f = u + 48.\n4. Substitute u = e + 1 to f, which gives f = e + 49.\n5. Substitute e = i + 3 to f, which gives f = i + 52.\n6. Substitute i = 16 to f, which gives f = 68.\n\nThus, the final answer is f = \\boxed{68}.",
"index": 21689,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = i + 6; t = z + 15; j = c + 15; f = g + 17; a = v + 16; g = t + 15; y = b + 6; z = u + 1; v = y + 9; b = j + 13; i = 16; e = i + 3; u = e + 1. If i = 16, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"s": "t + 3", "e": "s + 9", "f": "e + 7", "k": "f + 4", "v": "k + 10", "l": "v + 2", "b": "t + 6", "z": "b + 15", "d": "z + 18", "g": "d + 7", "r": "g + 20", "a": "r + 15", "t": 6}, "premises": {"t": 6}, "target": "l"}, "answer": {"steps": [["v", "k + 10", "k + 12"], ["k", "f + 4", "f + 16"], ["f", "e + 7", "e + 23"], ["e", "s + 9", "s + 32"], ["s", "t + 3", "t + 35"], ["t", 6, "41"]], "target_var_name": "l", "target_value": 41, "value_dict": {"t": 6}, "is_reverse": true}} | 21,690 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = d + 7; e = s + 9; f = e + 7; l = v + 2; s = t + 3; k = f + 4; r = g + 20; b = t + 6; v = k + 10; d = z + 18; t = 6; a = r + 15; z = b + 15. If t = 6, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 41,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = k + 10 to l, which gives l = k + 12.\n2. Substitute k = f + 4 to l, which gives l = f + 16.\n3. Substitute f = e + 7 to l, which gives l = e + 23.\n4. Substitute e = s + 9 to l, which gives l = s + 32.\n5. Substitute s = t + 3 to l, which gives l = t + 35.\n6. Substitute t = 6 to l, which gives l = 41.\n\nThus, the final answer is l = \\boxed{41}.",
"index": 21690,
"question": "Consider a system of variables where each variable is defined as follows: g = d + 7; e = s + 9; f = e + 7; l = v + 2; s = t + 3; k = f + 4; r = g + 20; b = t + 6; v = k + 10; d = z + 18; t = 6; a = r + 15; z = b + 15. If t = 6, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"r": "f + 16", "i": "r + 14", "l": "i + 5", "j": "l + 11", "p": "j + 7", "m": "p + 18", "q": "f + 15", "n": "q + 12", "v": "n + 20", "u": "v + 2", "c": "u + 8", "k": "c + 9", "f": 12}, "premises": {"f": 12}, "target": "m"}, "answer": {"steps": [["p", "j + 7", "j + 25"], ["j", "l + 11", "l + 36"], ["l", "i + 5", "i + 41"], ["i", "r + 14", "r + 55"], ["r", "f + 16", "f + 71"], ["f", 12, "83"]], "target_var_name": "m", "target_value": 83, "value_dict": {"f": 12}, "is_reverse": true}} | 21,691 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = c + 9; m = p + 18; c = u + 8; q = f + 15; j = l + 11; r = f + 16; u = v + 2; f = 12; n = q + 12; l = i + 5; i = r + 14; v = n + 20; p = j + 7. Given that f = 12, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = j + 7 to m, which gives m = j + 25.\n2. Substitute j = l + 11 to m, which gives m = l + 36.\n3. Substitute l = i + 5 to m, which gives m = i + 41.\n4. Substitute i = r + 14 to m, which gives m = r + 55.\n5. Substitute r = f + 16 to m, which gives m = f + 71.\n6. Substitute f = 12 to m, which gives m = 83.\n\nThus, the final answer is m = \\boxed{83}.",
"index": 21691,
"question": "Suppose a collection of variables is related by the following definitions: k = c + 9; m = p + 18; c = u + 8; q = f + 15; j = l + 11; r = f + 16; u = v + 2; f = 12; n = q + 12; l = i + 5; i = r + 14; v = n + 20; p = j + 7. Given that f = 12, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"k": "d + 8", "x": "k + 2", "j": "x + 16", "e": "j + 10", "h": "e + 12", "i": "h + 19", "q": "d + 2", "p": "q + 16", "y": "p + 10", "c": "y + 6", "o": "c + 18", "t": "o + 6", "d": 16}, "premises": {"d": 16}, "target": "i"}, "answer": {"steps": [["h", "e + 12", "e + 31"], ["e", "j + 10", "j + 41"], ["j", "x + 16", "x + 57"], ["x", "k + 2", "k + 59"], ["k", "d + 8", "d + 67"], ["d", 16, "83"]], "target_var_name": "i", "target_value": 83, "value_dict": {"d": 16}, "is_reverse": true}} | 21,692 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = q + 16; h = e + 12; x = k + 2; o = c + 18; k = d + 8; t = o + 6; i = h + 19; c = y + 6; q = d + 2; y = p + 10; j = x + 16; d = 16; e = j + 10. If d = 16, determine the 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 h = e + 12 to i, which gives i = e + 31.\n2. Substitute e = j + 10 to i, which gives i = j + 41.\n3. Substitute j = x + 16 to i, which gives i = x + 57.\n4. Substitute x = k + 2 to i, which gives i = k + 59.\n5. Substitute k = d + 8 to i, which gives i = d + 67.\n6. Substitute d = 16 to i, which gives i = 83.\n\nThus, the final answer is i = \\boxed{83}.",
"index": 21692,
"question": "Consider a system of variables where each variable is defined as follows: p = q + 16; h = e + 12; x = k + 2; o = c + 18; k = d + 8; t = o + 6; i = h + 19; c = y + 6; q = d + 2; y = p + 10; j = x + 16; d = 16; e = j + 10. If d = 16, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"r": "p + 8", "f": "r + 2", "y": "f + 5", "t": "y + 10", "b": "t + 15", "a": "b + 8", "h": "p + 14", "k": "h + 2", "j": "k + 4", "m": "j + 16", "c": "m + 18", "x": "c + 3", "p": 13}, "premises": {"p": 13}, "target": "a"}, "answer": {"steps": [["b", "t + 15", "t + 23"], ["t", "y + 10", "y + 33"], ["y", "f + 5", "f + 38"], ["f", "r + 2", "r + 40"], ["r", "p + 8", "p + 48"], ["p", 13, "61"]], "target_var_name": "a", "target_value": 61, "value_dict": {"p": 13}, "is_reverse": true}} | 21,693 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = m + 18; j = k + 4; f = r + 2; k = h + 2; t = y + 10; r = p + 8; a = b + 8; b = t + 15; m = j + 16; p = 13; h = p + 14; y = f + 5; x = c + 3. If p = 13, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = t + 15 to a, which gives a = t + 23.\n2. Substitute t = y + 10 to a, which gives a = y + 33.\n3. Substitute y = f + 5 to a, which gives a = f + 38.\n4. Substitute f = r + 2 to a, which gives a = r + 40.\n5. Substitute r = p + 8 to a, which gives a = p + 48.\n6. Substitute p = 13 to a, which gives a = 61.\n\nThus, the final answer is a = \\boxed{61}.",
"index": 21693,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = m + 18; j = k + 4; f = r + 2; k = h + 2; t = y + 10; r = p + 8; a = b + 8; b = t + 15; m = j + 16; p = 13; h = p + 14; y = f + 5; x = c + 3. If p = 13, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"p": "m + 20", "u": "p + 2", "j": "u + 7", "c": "j + 19", "h": "c + 7", "n": "h + 2", "g": "m + 2", "y": "g + 13", "v": "y + 7", "z": "v + 17", "w": "z + 1", "r": "w + 4", "m": 8}, "premises": {"m": 8}, "target": "n"}, "answer": {"steps": [["h", "c + 7", "c + 9"], ["c", "j + 19", "j + 28"], ["j", "u + 7", "u + 35"], ["u", "p + 2", "p + 37"], ["p", "m + 20", "m + 57"], ["m", 8, "65"]], "target_var_name": "n", "target_value": 65, "value_dict": {"m": 8}, "is_reverse": true}} | 21,694 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = p + 2; p = m + 20; g = m + 2; m = 8; c = j + 19; h = c + 7; j = u + 7; n = h + 2; w = z + 1; y = g + 13; z = v + 17; v = y + 7; r = w + 4. If m = 8, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = c + 7 to n, which gives n = c + 9.\n2. Substitute c = j + 19 to n, which gives n = j + 28.\n3. Substitute j = u + 7 to n, which gives n = u + 35.\n4. Substitute u = p + 2 to n, which gives n = p + 37.\n5. Substitute p = m + 20 to n, which gives n = m + 57.\n6. Substitute m = 8 to n, which gives n = 65.\n\nThus, the final answer is n = \\boxed{65}.",
"index": 21694,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = p + 2; p = m + 20; g = m + 2; m = 8; c = j + 19; h = c + 7; j = u + 7; n = h + 2; w = z + 1; y = g + 13; z = v + 17; v = y + 7; r = w + 4. If m = 8, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"p": "u + 18", "q": "p + 6", "d": "q + 9", "i": "d + 20", "a": "i + 6", "z": "a + 2", "f": "u + 6", "w": "f + 4", "l": "w + 15", "o": "l + 8", "m": "o + 1", "c": "m + 12", "u": 18}, "premises": {"u": 18}, "target": "z"}, "answer": {"steps": [["a", "i + 6", "i + 8"], ["i", "d + 20", "d + 28"], ["d", "q + 9", "q + 37"], ["q", "p + 6", "p + 43"], ["p", "u + 18", "u + 61"], ["u", 18, "79"]], "target_var_name": "z", "target_value": 79, "value_dict": {"u": 18}, "is_reverse": true}} | 21,695 | 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 + 20; w = f + 4; o = l + 8; m = o + 1; c = m + 12; a = i + 6; d = q + 9; u = 18; f = u + 6; p = u + 18; q = p + 6; z = a + 2; l = w + 15. If u = 18, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = i + 6 to z, which gives z = i + 8.\n2. Substitute i = d + 20 to z, which gives z = d + 28.\n3. Substitute d = q + 9 to z, which gives z = q + 37.\n4. Substitute q = p + 6 to z, which gives z = p + 43.\n5. Substitute p = u + 18 to z, which gives z = u + 61.\n6. Substitute u = 18 to z, which gives z = 79.\n\nThus, the final answer is z = \\boxed{79}.",
"index": 21695,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = d + 20; w = f + 4; o = l + 8; m = o + 1; c = m + 12; a = i + 6; d = q + 9; u = 18; f = u + 6; p = u + 18; q = p + 6; z = a + 2; l = w + 15. If u = 18, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"l": "j + 13", "i": "l + 1", "k": "i + 7", "e": "k + 2", "b": "e + 11", "s": "b + 15", "n": "j + 10", "m": "n + 14", "q": "m + 3", "a": "q + 5", "h": "a + 2", "d": "h + 16", "j": 1}, "premises": {"j": 1}, "target": "s"}, "answer": {"steps": [["b", "e + 11", "e + 26"], ["e", "k + 2", "k + 28"], ["k", "i + 7", "i + 35"], ["i", "l + 1", "l + 36"], ["l", "j + 13", "j + 49"], ["j", 1, "50"]], "target_var_name": "s", "target_value": 50, "value_dict": {"j": 1}, "is_reverse": true}} | 21,696 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = m + 3; n = j + 10; m = n + 14; h = a + 2; j = 1; i = l + 1; k = i + 7; b = e + 11; l = j + 13; s = b + 15; d = h + 16; e = k + 2; a = q + 5. Given that j = 1, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = e + 11 to s, which gives s = e + 26.\n2. Substitute e = k + 2 to s, which gives s = k + 28.\n3. Substitute k = i + 7 to s, which gives s = i + 35.\n4. Substitute i = l + 1 to s, which gives s = l + 36.\n5. Substitute l = j + 13 to s, which gives s = j + 49.\n6. Substitute j = 1 to s, which gives s = 50.\n\nThus, the final answer is s = \\boxed{50}.",
"index": 21696,
"question": "Suppose a collection of variables is related by the following definitions: q = m + 3; n = j + 10; m = n + 14; h = a + 2; j = 1; i = l + 1; k = i + 7; b = e + 11; l = j + 13; s = b + 15; d = h + 16; e = k + 2; a = q + 5. Given that j = 1, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"s": "j + 7", "y": "s + 14", "g": "y + 11", "c": "g + 10", "l": "c + 16", "p": "l + 7", "n": "j + 15", "q": "n + 5", "k": "q + 11", "h": "k + 17", "d": "h + 14", "x": "d + 1", "j": 2}, "premises": {"j": 2}, "target": "p"}, "answer": {"steps": [["l", "c + 16", "c + 23"], ["c", "g + 10", "g + 33"], ["g", "y + 11", "y + 44"], ["y", "s + 14", "s + 58"], ["s", "j + 7", "j + 65"], ["j", 2, "67"]], "target_var_name": "p", "target_value": 67, "value_dict": {"j": 2}, "is_reverse": true}} | 21,697 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = c + 16; q = n + 5; x = d + 1; d = h + 14; c = g + 10; h = k + 17; k = q + 11; s = j + 7; p = l + 7; g = y + 11; j = 2; n = j + 15; y = s + 14. If j = 2, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = c + 16 to p, which gives p = c + 23.\n2. Substitute c = g + 10 to p, which gives p = g + 33.\n3. Substitute g = y + 11 to p, which gives p = y + 44.\n4. Substitute y = s + 14 to p, which gives p = s + 58.\n5. Substitute s = j + 7 to p, which gives p = j + 65.\n6. Substitute j = 2 to p, which gives p = 67.\n\nThus, the final answer is p = \\boxed{67}.",
"index": 21697,
"question": "Consider a system of variables where each variable is defined as follows: l = c + 16; q = n + 5; x = d + 1; d = h + 14; c = g + 10; h = k + 17; k = q + 11; s = j + 7; p = l + 7; g = y + 11; j = 2; n = j + 15; y = s + 14. If j = 2, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"e": "r + 15", "s": "e + 4", "y": "s + 15", "i": "y + 17", "o": "i + 3", "p": "o + 20", "v": "r + 10", "l": "v + 5", "n": "l + 12", "d": "n + 8", "w": "d + 6", "b": "w + 7", "r": 15}, "premises": {"r": 15}, "target": "p"}, "answer": {"steps": [["o", "i + 3", "i + 23"], ["i", "y + 17", "y + 40"], ["y", "s + 15", "s + 55"], ["s", "e + 4", "e + 59"], ["e", "r + 15", "r + 74"], ["r", 15, "89"]], "target_var_name": "p", "target_value": 89, "value_dict": {"r": 15}, "is_reverse": true}} | 21,698 | 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 = 15; y = s + 15; v = r + 10; i = y + 17; b = w + 7; n = l + 12; d = n + 8; w = d + 6; s = e + 4; e = r + 15; l = v + 5; p = o + 20; o = i + 3. If r = 15, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = i + 3 to p, which gives p = i + 23.\n2. Substitute i = y + 17 to p, which gives p = y + 40.\n3. Substitute y = s + 15 to p, which gives p = s + 55.\n4. Substitute s = e + 4 to p, which gives p = e + 59.\n5. Substitute e = r + 15 to p, which gives p = r + 74.\n6. Substitute r = 15 to p, which gives p = 89.\n\nThus, the final answer is p = \\boxed{89}.",
"index": 21698,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = 15; y = s + 15; v = r + 10; i = y + 17; b = w + 7; n = l + 12; d = n + 8; w = d + 6; s = e + 4; e = r + 15; l = v + 5; p = o + 20; o = i + 3. If r = 15, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"t": "f + 13", "x": "t + 13", "k": "x + 3", "o": "k + 4", "j": "o + 3", "q": "j + 3", "w": "f + 19", "y": "w + 17", "g": "y + 10", "n": "g + 1", "z": "n + 12", "p": "z + 20", "f": 2}, "premises": {"f": 2}, "target": "q"}, "answer": {"steps": [["j", "o + 3", "o + 6"], ["o", "k + 4", "k + 10"], ["k", "x + 3", "x + 13"], ["x", "t + 13", "t + 26"], ["t", "f + 13", "f + 39"], ["f", 2, "41"]], "target_var_name": "q", "target_value": 41, "value_dict": {"f": 2}, "is_reverse": true}} | 21,699 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = x + 3; w = f + 19; j = o + 3; q = j + 3; t = f + 13; y = w + 17; z = n + 12; g = y + 10; o = k + 4; n = g + 1; p = z + 20; x = t + 13; f = 2. If f = 2, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 41,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = o + 3 to q, which gives q = o + 6.\n2. Substitute o = k + 4 to q, which gives q = k + 10.\n3. Substitute k = x + 3 to q, which gives q = x + 13.\n4. Substitute x = t + 13 to q, which gives q = t + 26.\n5. Substitute t = f + 13 to q, which gives q = f + 39.\n6. Substitute f = 2 to q, which gives q = 41.\n\nThus, the final answer is q = \\boxed{41}.",
"index": 21699,
"question": "Consider a system of variables where each variable is defined as follows: k = x + 3; w = f + 19; j = o + 3; q = j + 3; t = f + 13; y = w + 17; z = n + 12; g = y + 10; o = k + 4; n = g + 1; p = z + 20; x = t + 13; f = 2. If f = 2, determine the value of q.",
"split": "train"
} |
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