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": "m + 14", "c": "r + 6", "e": "c + 10", "d": "e + 16", "x": "d + 15", "b": "x + 8", "l": "m + 10", "v": "l + 11", "p": "v + 20", "n": "p + 3", "s": "n + 5", "i": "s + 14", "m": 10}, "premises": {"m": 10}, "target": "b"}, "answer": {"steps": [["x", "d + 15", "d + 23"], ["d", "e + 16", "e + 39"], ["e", "c + 10", "c + 49"], ["c", "r + 6", "r + 55"], ["r", "m + 14", "m + 69"], ["m", 10, "79"]], "target_var_name": "b", "target_value": 79, "value_dict": {"m": 10}, "is_reverse": true}} | 10,900 | 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 = m + 10; x = d + 15; e = c + 10; m = 10; r = m + 14; d = e + 16; i = s + 14; p = v + 20; n = p + 3; v = l + 11; b = x + 8; c = r + 6; s = n + 5. If m = 10, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = d + 15 to b, which gives b = d + 23.\n2. Substitute d = e + 16 to b, which gives b = e + 39.\n3. Substitute e = c + 10 to b, which gives b = c + 49.\n4. Substitute c = r + 6 to b, which gives b = r + 55.\n5. Substitute r = m + 14 to b, which gives b = m + 69.\n6. Substitute m = 10 to b, which gives b = 79.\n\nThus, the final answer is b = \\boxed{79}.",
"index": 10900,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = m + 10; x = d + 15; e = c + 10; m = 10; r = m + 14; d = e + 16; i = s + 14; p = v + 20; n = p + 3; v = l + 11; b = x + 8; c = r + 6; s = n + 5. If m = 10, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"n": "d + 4", "e": "n + 16", "h": "e + 12", "w": "h + 7", "i": "w + 2", "f": "i + 13", "s": "d + 15", "j": "s + 18", "p": "j + 19", "m": "p + 6", "a": "m + 5", "l": "a + 2", "d": 13}, "premises": {"d": 13}, "target": "f"}, "answer": {"steps": [["i", "w + 2", "w + 15"], ["w", "h + 7", "h + 22"], ["h", "e + 12", "e + 34"], ["e", "n + 16", "n + 50"], ["n", "d + 4", "d + 54"], ["d", 13, "67"]], "target_var_name": "f", "target_value": 67, "value_dict": {"d": 13}, "is_reverse": true}} | 10,901 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = w + 2; n = d + 4; d = 13; j = s + 18; h = e + 12; e = n + 16; s = d + 15; m = p + 6; f = i + 13; w = h + 7; p = j + 19; l = a + 2; a = m + 5. If d = 13, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = w + 2 to f, which gives f = w + 15.\n2. Substitute w = h + 7 to f, which gives f = h + 22.\n3. Substitute h = e + 12 to f, which gives f = e + 34.\n4. Substitute e = n + 16 to f, which gives f = n + 50.\n5. Substitute n = d + 4 to f, which gives f = d + 54.\n6. Substitute d = 13 to f, which gives f = 67.\n\nThus, the final answer is f = \\boxed{67}.",
"index": 10901,
"question": "Consider a system of variables where each variable is defined as follows: i = w + 2; n = d + 4; d = 13; j = s + 18; h = e + 12; e = n + 16; s = d + 15; m = p + 6; f = i + 13; w = h + 7; p = j + 19; l = a + 2; a = m + 5. If d = 13, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"t": "s + 14", "i": "t + 7", "b": "i + 18", "c": "b + 11", "g": "c + 5", "k": "g + 6", "f": "s + 20", "h": "f + 13", "n": "h + 13", "r": "n + 3", "o": "r + 2", "q": "o + 16", "s": 3}, "premises": {"s": 3}, "target": "k"}, "answer": {"steps": [["g", "c + 5", "c + 11"], ["c", "b + 11", "b + 22"], ["b", "i + 18", "i + 40"], ["i", "t + 7", "t + 47"], ["t", "s + 14", "s + 61"], ["s", 3, "64"]], "target_var_name": "k", "target_value": 64, "value_dict": {"s": 3}, "is_reverse": true}} | 10,902 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = i + 18; h = f + 13; n = h + 13; s = 3; r = n + 3; f = s + 20; g = c + 5; c = b + 11; t = s + 14; o = r + 2; k = g + 6; i = t + 7; q = o + 16. Given that s = 3, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = c + 5 to k, which gives k = c + 11.\n2. Substitute c = b + 11 to k, which gives k = b + 22.\n3. Substitute b = i + 18 to k, which gives k = i + 40.\n4. Substitute i = t + 7 to k, which gives k = t + 47.\n5. Substitute t = s + 14 to k, which gives k = s + 61.\n6. Substitute s = 3 to k, which gives k = 64.\n\nThus, the final answer is k = \\boxed{64}.",
"index": 10902,
"question": "Suppose a collection of variables is related by the following definitions: b = i + 18; h = f + 13; n = h + 13; s = 3; r = n + 3; f = s + 20; g = c + 5; c = b + 11; t = s + 14; o = r + 2; k = g + 6; i = t + 7; q = o + 16. Given that s = 3, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"z": "c + 20", "h": "z + 12", "q": "h + 18", "p": "q + 17", "i": "p + 15", "l": "i + 15", "n": "c + 2", "x": "n + 10", "k": "x + 5", "d": "k + 8", "v": "d + 17", "b": "v + 9", "c": 1}, "premises": {"c": 1}, "target": "l"}, "answer": {"steps": [["i", "p + 15", "p + 30"], ["p", "q + 17", "q + 47"], ["q", "h + 18", "h + 65"], ["h", "z + 12", "z + 77"], ["z", "c + 20", "c + 97"], ["c", 1, "98"]], "target_var_name": "l", "target_value": 98, "value_dict": {"c": 1}, "is_reverse": true}} | 10,903 | 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 = d + 17; n = c + 2; d = k + 8; i = p + 15; k = x + 5; b = v + 9; c = 1; x = n + 10; l = i + 15; z = c + 20; p = q + 17; h = z + 12; q = h + 18. If c = 1, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = p + 15 to l, which gives l = p + 30.\n2. Substitute p = q + 17 to l, which gives l = q + 47.\n3. Substitute q = h + 18 to l, which gives l = h + 65.\n4. Substitute h = z + 12 to l, which gives l = z + 77.\n5. Substitute z = c + 20 to l, which gives l = c + 97.\n6. Substitute c = 1 to l, which gives l = 98.\n\nThus, the final answer is l = \\boxed{98}.",
"index": 10903,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = d + 17; n = c + 2; d = k + 8; i = p + 15; k = x + 5; b = v + 9; c = 1; x = n + 10; l = i + 15; z = c + 20; p = q + 17; h = z + 12; q = h + 18. If c = 1, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"t": "w + 16", "l": "t + 12", "x": "l + 12", "s": "x + 12", "p": "s + 5", "n": "p + 11", "r": "w + 12", "h": "r + 4", "f": "h + 14", "b": "f + 16", "d": "b + 5", "k": "d + 16", "w": 18}, "premises": {"w": 18}, "target": "n"}, "answer": {"steps": [["p", "s + 5", "s + 16"], ["s", "x + 12", "x + 28"], ["x", "l + 12", "l + 40"], ["l", "t + 12", "t + 52"], ["t", "w + 16", "w + 68"], ["w", 18, "86"]], "target_var_name": "n", "target_value": 86, "value_dict": {"w": 18}, "is_reverse": true}} | 10,904 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = f + 16; x = l + 12; f = h + 14; d = b + 5; h = r + 4; r = w + 12; l = t + 12; k = d + 16; t = w + 16; w = 18; s = x + 12; n = p + 11; p = s + 5. Given that w = 18, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = s + 5 to n, which gives n = s + 16.\n2. Substitute s = x + 12 to n, which gives n = x + 28.\n3. Substitute x = l + 12 to n, which gives n = l + 40.\n4. Substitute l = t + 12 to n, which gives n = t + 52.\n5. Substitute t = w + 16 to n, which gives n = w + 68.\n6. Substitute w = 18 to n, which gives n = 86.\n\nThus, the final answer is n = \\boxed{86}.",
"index": 10904,
"question": "Suppose a collection of variables is related by the following definitions: b = f + 16; x = l + 12; f = h + 14; d = b + 5; h = r + 4; r = w + 12; l = t + 12; k = d + 16; t = w + 16; w = 18; s = x + 12; n = p + 11; p = s + 5. Given that w = 18, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"o": "k + 1", "t": "o + 1", "d": "t + 11", "p": "d + 16", "r": "p + 8", "h": "r + 9", "u": "k + 7", "y": "u + 16", "s": "y + 5", "v": "s + 1", "q": "v + 2", "g": "q + 6", "k": 8}, "premises": {"k": 8}, "target": "h"}, "answer": {"steps": [["r", "p + 8", "p + 17"], ["p", "d + 16", "d + 33"], ["d", "t + 11", "t + 44"], ["t", "o + 1", "o + 45"], ["o", "k + 1", "k + 46"], ["k", 8, "54"]], "target_var_name": "h", "target_value": 54, "value_dict": {"k": 8}, "is_reverse": true}} | 10,905 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = p + 8; p = d + 16; g = q + 6; u = k + 7; y = u + 16; s = y + 5; d = t + 11; t = o + 1; q = v + 2; v = s + 1; k = 8; o = k + 1; h = r + 9. Given that k = 8, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = p + 8 to h, which gives h = p + 17.\n2. Substitute p = d + 16 to h, which gives h = d + 33.\n3. Substitute d = t + 11 to h, which gives h = t + 44.\n4. Substitute t = o + 1 to h, which gives h = o + 45.\n5. Substitute o = k + 1 to h, which gives h = k + 46.\n6. Substitute k = 8 to h, which gives h = 54.\n\nThus, the final answer is h = \\boxed{54}.",
"index": 10905,
"question": "Suppose a collection of variables is related by the following definitions: r = p + 8; p = d + 16; g = q + 6; u = k + 7; y = u + 16; s = y + 5; d = t + 11; t = o + 1; q = v + 2; v = s + 1; k = 8; o = k + 1; h = r + 9. Given that k = 8, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"a": "e + 4", "u": "a + 4", "f": "u + 6", "m": "f + 6", "d": "m + 16", "z": "d + 6", "q": "e + 1", "k": "q + 12", "o": "k + 20", "i": "o + 15", "w": "i + 7", "s": "w + 3", "e": 10}, "premises": {"e": 10}, "target": "z"}, "answer": {"steps": [["d", "m + 16", "m + 22"], ["m", "f + 6", "f + 28"], ["f", "u + 6", "u + 34"], ["u", "a + 4", "a + 38"], ["a", "e + 4", "e + 42"], ["e", 10, "52"]], "target_var_name": "z", "target_value": 52, "value_dict": {"e": 10}, "is_reverse": true}} | 10,906 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = q + 12; m = f + 6; z = d + 6; a = e + 4; u = a + 4; w = i + 7; e = 10; o = k + 20; q = e + 1; d = m + 16; s = w + 3; f = u + 6; i = o + 15. If e = 10, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = m + 16 to z, which gives z = m + 22.\n2. Substitute m = f + 6 to z, which gives z = f + 28.\n3. Substitute f = u + 6 to z, which gives z = u + 34.\n4. Substitute u = a + 4 to z, which gives z = a + 38.\n5. Substitute a = e + 4 to z, which gives z = e + 42.\n6. Substitute e = 10 to z, which gives z = 52.\n\nThus, the final answer is z = \\boxed{52}.",
"index": 10906,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = q + 12; m = f + 6; z = d + 6; a = e + 4; u = a + 4; w = i + 7; e = 10; o = k + 20; q = e + 1; d = m + 16; s = w + 3; f = u + 6; i = o + 15. If e = 10, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"a": "m + 14", "v": "a + 6", "o": "v + 17", "i": "o + 7", "y": "i + 8", "s": "y + 13", "f": "m + 20", "p": "f + 2", "g": "p + 12", "j": "g + 1", "r": "j + 18", "q": "r + 6", "m": 12}, "premises": {"m": 12}, "target": "s"}, "answer": {"steps": [["y", "i + 8", "i + 21"], ["i", "o + 7", "o + 28"], ["o", "v + 17", "v + 45"], ["v", "a + 6", "a + 51"], ["a", "m + 14", "m + 65"], ["m", 12, "77"]], "target_var_name": "s", "target_value": 77, "value_dict": {"m": 12}, "is_reverse": true}} | 10,907 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = g + 1; r = j + 18; s = y + 13; p = f + 2; g = p + 12; i = o + 7; m = 12; v = a + 6; a = m + 14; y = i + 8; f = m + 20; o = v + 17; q = r + 6. Given that m = 12, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = i + 8 to s, which gives s = i + 21.\n2. Substitute i = o + 7 to s, which gives s = o + 28.\n3. Substitute o = v + 17 to s, which gives s = v + 45.\n4. Substitute v = a + 6 to s, which gives s = a + 51.\n5. Substitute a = m + 14 to s, which gives s = m + 65.\n6. Substitute m = 12 to s, which gives s = 77.\n\nThus, the final answer is s = \\boxed{77}.",
"index": 10907,
"question": "Suppose a collection of variables is related by the following definitions: j = g + 1; r = j + 18; s = y + 13; p = f + 2; g = p + 12; i = o + 7; m = 12; v = a + 6; a = m + 14; y = i + 8; f = m + 20; o = v + 17; q = r + 6. Given that m = 12, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"m": "f + 14", "q": "m + 19", "b": "q + 6", "s": "b + 20", "u": "s + 7", "z": "u + 2", "w": "f + 3", "y": "w + 20", "v": "y + 16", "g": "v + 14", "n": "g + 9", "r": "n + 12", "f": 12}, "premises": {"f": 12}, "target": "z"}, "answer": {"steps": [["u", "s + 7", "s + 9"], ["s", "b + 20", "b + 29"], ["b", "q + 6", "q + 35"], ["q", "m + 19", "m + 54"], ["m", "f + 14", "f + 68"], ["f", 12, "80"]], "target_var_name": "z", "target_value": 80, "value_dict": {"f": 12}, "is_reverse": true}} | 10,908 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = f + 14; s = b + 20; w = f + 3; q = m + 19; n = g + 9; v = y + 16; z = u + 2; y = w + 20; f = 12; r = n + 12; g = v + 14; b = q + 6; u = s + 7. Given that f = 12, 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 u = s + 7 to z, which gives z = s + 9.\n2. Substitute s = b + 20 to z, which gives z = b + 29.\n3. Substitute b = q + 6 to z, which gives z = q + 35.\n4. Substitute q = m + 19 to z, which gives z = m + 54.\n5. Substitute m = f + 14 to z, which gives z = f + 68.\n6. Substitute f = 12 to z, which gives z = 80.\n\nThus, the final answer is z = \\boxed{80}.",
"index": 10908,
"question": "Suppose a collection of variables is related by the following definitions: m = f + 14; s = b + 20; w = f + 3; q = m + 19; n = g + 9; v = y + 16; z = u + 2; y = w + 20; f = 12; r = n + 12; g = v + 14; b = q + 6; u = s + 7. Given that f = 12, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"q": "r + 2", "u": "q + 8", "e": "u + 9", "m": "e + 8", "x": "m + 18", "k": "x + 18", "d": "r + 8", "n": "d + 12", "f": "n + 11", "o": "f + 13", "t": "o + 3", "z": "t + 7", "r": 3}, "premises": {"r": 3}, "target": "k"}, "answer": {"steps": [["x", "m + 18", "m + 36"], ["m", "e + 8", "e + 44"], ["e", "u + 9", "u + 53"], ["u", "q + 8", "q + 61"], ["q", "r + 2", "r + 63"], ["r", 3, "66"]], "target_var_name": "k", "target_value": 66, "value_dict": {"r": 3}, "is_reverse": true}} | 10,909 | 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 = f + 13; k = x + 18; n = d + 12; x = m + 18; q = r + 2; m = e + 8; e = u + 9; r = 3; f = n + 11; t = o + 3; z = t + 7; d = r + 8; u = q + 8. If r = 3, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = m + 18 to k, which gives k = m + 36.\n2. Substitute m = e + 8 to k, which gives k = e + 44.\n3. Substitute e = u + 9 to k, which gives k = u + 53.\n4. Substitute u = q + 8 to k, which gives k = q + 61.\n5. Substitute q = r + 2 to k, which gives k = r + 63.\n6. Substitute r = 3 to k, which gives k = 66.\n\nThus, the final answer is k = \\boxed{66}.",
"index": 10909,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = f + 13; k = x + 18; n = d + 12; x = m + 18; q = r + 2; m = e + 8; e = u + 9; r = 3; f = n + 11; t = o + 3; z = t + 7; d = r + 8; u = q + 8. If r = 3, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"g": "e + 8", "f": "g + 7", "w": "f + 3", "c": "w + 9", "h": "c + 4", "d": "h + 4", "u": "e + 3", "b": "u + 13", "i": "b + 18", "t": "i + 6", "o": "t + 19", "s": "o + 9", "e": 13}, "premises": {"e": 13}, "target": "d"}, "answer": {"steps": [["h", "c + 4", "c + 8"], ["c", "w + 9", "w + 17"], ["w", "f + 3", "f + 20"], ["f", "g + 7", "g + 27"], ["g", "e + 8", "e + 35"], ["e", 13, "48"]], "target_var_name": "d", "target_value": 48, "value_dict": {"e": 13}, "is_reverse": true}} | 10,910 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = t + 19; u = e + 3; i = b + 18; f = g + 7; t = i + 6; h = c + 4; e = 13; w = f + 3; d = h + 4; s = o + 9; g = e + 8; c = w + 9; b = u + 13. Given that e = 13, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = c + 4 to d, which gives d = c + 8.\n2. Substitute c = w + 9 to d, which gives d = w + 17.\n3. Substitute w = f + 3 to d, which gives d = f + 20.\n4. Substitute f = g + 7 to d, which gives d = g + 27.\n5. Substitute g = e + 8 to d, which gives d = e + 35.\n6. Substitute e = 13 to d, which gives d = 48.\n\nThus, the final answer is d = \\boxed{48}.",
"index": 10910,
"question": "Suppose a collection of variables is related by the following definitions: o = t + 19; u = e + 3; i = b + 18; f = g + 7; t = i + 6; h = c + 4; e = 13; w = f + 3; d = h + 4; s = o + 9; g = e + 8; c = w + 9; b = u + 13. Given that e = 13, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"p": "d + 6", "r": "p + 10", "u": "r + 18", "o": "u + 17", "h": "o + 12", "x": "h + 9", "c": "d + 13", "t": "c + 4", "b": "t + 20", "q": "b + 13", "a": "q + 11", "s": "a + 5", "d": 19}, "premises": {"d": 19}, "target": "x"}, "answer": {"steps": [["h", "o + 12", "o + 21"], ["o", "u + 17", "u + 38"], ["u", "r + 18", "r + 56"], ["r", "p + 10", "p + 66"], ["p", "d + 6", "d + 72"], ["d", 19, "91"]], "target_var_name": "x", "target_value": 91, "value_dict": {"d": 19}, "is_reverse": true}} | 10,911 | 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 = u + 17; u = r + 18; t = c + 4; q = b + 13; b = t + 20; a = q + 11; s = a + 5; x = h + 9; h = o + 12; r = p + 10; d = 19; p = d + 6; c = d + 13. If d = 19, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = o + 12 to x, which gives x = o + 21.\n2. Substitute o = u + 17 to x, which gives x = u + 38.\n3. Substitute u = r + 18 to x, which gives x = r + 56.\n4. Substitute r = p + 10 to x, which gives x = p + 66.\n5. Substitute p = d + 6 to x, which gives x = d + 72.\n6. Substitute d = 19 to x, which gives x = 91.\n\nThus, the final answer is x = \\boxed{91}.",
"index": 10911,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = u + 17; u = r + 18; t = c + 4; q = b + 13; b = t + 20; a = q + 11; s = a + 5; x = h + 9; h = o + 12; r = p + 10; d = 19; p = d + 6; c = d + 13. If d = 19, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"q": "b + 16", "x": "q + 18", "j": "x + 16", "g": "j + 15", "z": "g + 8", "f": "z + 10", "e": "b + 17", "t": "e + 5", "h": "t + 1", "v": "h + 4", "u": "v + 16", "w": "u + 6", "b": 9}, "premises": {"b": 9}, "target": "f"}, "answer": {"steps": [["z", "g + 8", "g + 18"], ["g", "j + 15", "j + 33"], ["j", "x + 16", "x + 49"], ["x", "q + 18", "q + 67"], ["q", "b + 16", "b + 83"], ["b", 9, "92"]], "target_var_name": "f", "target_value": 92, "value_dict": {"b": 9}, "is_reverse": true}} | 10,912 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = j + 15; h = t + 1; w = u + 6; e = b + 17; t = e + 5; u = v + 16; z = g + 8; v = h + 4; j = x + 16; f = z + 10; x = q + 18; q = b + 16; b = 9. If b = 9, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = g + 8 to f, which gives f = g + 18.\n2. Substitute g = j + 15 to f, which gives f = j + 33.\n3. Substitute j = x + 16 to f, which gives f = x + 49.\n4. Substitute x = q + 18 to f, which gives f = q + 67.\n5. Substitute q = b + 16 to f, which gives f = b + 83.\n6. Substitute b = 9 to f, which gives f = 92.\n\nThus, the final answer is f = \\boxed{92}.",
"index": 10912,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = j + 15; h = t + 1; w = u + 6; e = b + 17; t = e + 5; u = v + 16; z = g + 8; v = h + 4; j = x + 16; f = z + 10; x = q + 18; q = b + 16; b = 9. If b = 9, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"h": "q + 8", "f": "h + 7", "i": "f + 5", "o": "i + 14", "p": "o + 8", "j": "p + 4", "s": "q + 13", "d": "s + 18", "y": "d + 7", "m": "y + 13", "b": "m + 10", "z": "b + 18", "q": 14}, "premises": {"q": 14}, "target": "j"}, "answer": {"steps": [["p", "o + 8", "o + 12"], ["o", "i + 14", "i + 26"], ["i", "f + 5", "f + 31"], ["f", "h + 7", "h + 38"], ["h", "q + 8", "q + 46"], ["q", 14, "60"]], "target_var_name": "j", "target_value": 60, "value_dict": {"q": 14}, "is_reverse": true}} | 10,913 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = d + 7; b = m + 10; i = f + 5; z = b + 18; d = s + 18; s = q + 13; q = 14; p = o + 8; m = y + 13; j = p + 4; h = q + 8; o = i + 14; f = h + 7. If q = 14, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = o + 8 to j, which gives j = o + 12.\n2. Substitute o = i + 14 to j, which gives j = i + 26.\n3. Substitute i = f + 5 to j, which gives j = f + 31.\n4. Substitute f = h + 7 to j, which gives j = h + 38.\n5. Substitute h = q + 8 to j, which gives j = q + 46.\n6. Substitute q = 14 to j, which gives j = 60.\n\nThus, the final answer is j = \\boxed{60}.",
"index": 10913,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = d + 7; b = m + 10; i = f + 5; z = b + 18; d = s + 18; s = q + 13; q = 14; p = o + 8; m = y + 13; j = p + 4; h = q + 8; o = i + 14; f = h + 7. If q = 14, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"c": "f + 4", "s": "c + 4", "y": "s + 12", "j": "y + 5", "e": "j + 15", "w": "e + 5", "i": "f + 14", "k": "i + 14", "u": "k + 6", "q": "u + 15", "n": "q + 18", "b": "n + 4", "f": 6}, "premises": {"f": 6}, "target": "w"}, "answer": {"steps": [["e", "j + 15", "j + 20"], ["j", "y + 5", "y + 25"], ["y", "s + 12", "s + 37"], ["s", "c + 4", "c + 41"], ["c", "f + 4", "f + 45"], ["f", 6, "51"]], "target_var_name": "w", "target_value": 51, "value_dict": {"f": 6}, "is_reverse": true}} | 10,914 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = i + 14; y = s + 12; j = y + 5; i = f + 14; n = q + 18; u = k + 6; w = e + 5; b = n + 4; s = c + 4; f = 6; e = j + 15; q = u + 15; c = f + 4. If f = 6, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = j + 15 to w, which gives w = j + 20.\n2. Substitute j = y + 5 to w, which gives w = y + 25.\n3. Substitute y = s + 12 to w, which gives w = s + 37.\n4. Substitute s = c + 4 to w, which gives w = c + 41.\n5. Substitute c = f + 4 to w, which gives w = f + 45.\n6. Substitute f = 6 to w, which gives w = 51.\n\nThus, the final answer is w = \\boxed{51}.",
"index": 10914,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = i + 14; y = s + 12; j = y + 5; i = f + 14; n = q + 18; u = k + 6; w = e + 5; b = n + 4; s = c + 4; f = 6; e = j + 15; q = u + 15; c = f + 4. If f = 6, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"w": "d + 14", "r": "w + 4", "g": "r + 17", "z": "g + 13", "e": "z + 14", "j": "e + 19", "v": "d + 18", "c": "v + 12", "h": "c + 16", "n": "h + 2", "k": "n + 13", "i": "k + 7", "d": 20}, "premises": {"d": 20}, "target": "j"}, "answer": {"steps": [["e", "z + 14", "z + 33"], ["z", "g + 13", "g + 46"], ["g", "r + 17", "r + 63"], ["r", "w + 4", "w + 67"], ["w", "d + 14", "d + 81"], ["d", 20, "101"]], "target_var_name": "j", "target_value": 101, "value_dict": {"d": 20}, "is_reverse": true}} | 10,915 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = w + 4; k = n + 13; v = d + 18; h = c + 16; c = v + 12; w = d + 14; g = r + 17; d = 20; n = h + 2; z = g + 13; i = k + 7; e = z + 14; j = e + 19. Given that d = 20, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = z + 14 to j, which gives j = z + 33.\n2. Substitute z = g + 13 to j, which gives j = g + 46.\n3. Substitute g = r + 17 to j, which gives j = r + 63.\n4. Substitute r = w + 4 to j, which gives j = w + 67.\n5. Substitute w = d + 14 to j, which gives j = d + 81.\n6. Substitute d = 20 to j, which gives j = 101.\n\nThus, the final answer is j = \\boxed{101}.",
"index": 10915,
"question": "Suppose a collection of variables is related by the following definitions: r = w + 4; k = n + 13; v = d + 18; h = c + 16; c = v + 12; w = d + 14; g = r + 17; d = 20; n = h + 2; z = g + 13; i = k + 7; e = z + 14; j = e + 19. Given that d = 20, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"u": "p + 5", "k": "u + 15", "j": "k + 1", "c": "j + 20", "b": "c + 4", "q": "b + 16", "s": "p + 19", "m": "s + 2", "w": "m + 7", "g": "w + 16", "t": "g + 20", "n": "t + 3", "p": 10}, "premises": {"p": 10}, "target": "q"}, "answer": {"steps": [["b", "c + 4", "c + 20"], ["c", "j + 20", "j + 40"], ["j", "k + 1", "k + 41"], ["k", "u + 15", "u + 56"], ["u", "p + 5", "p + 61"], ["p", 10, "71"]], "target_var_name": "q", "target_value": 71, "value_dict": {"p": 10}, "is_reverse": true}} | 10,916 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = g + 20; m = s + 2; c = j + 20; n = t + 3; k = u + 15; q = b + 16; g = w + 16; b = c + 4; p = 10; j = k + 1; s = p + 19; u = p + 5; w = m + 7. If p = 10, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = c + 4 to q, which gives q = c + 20.\n2. Substitute c = j + 20 to q, which gives q = j + 40.\n3. Substitute j = k + 1 to q, which gives q = k + 41.\n4. Substitute k = u + 15 to q, which gives q = u + 56.\n5. Substitute u = p + 5 to q, which gives q = p + 61.\n6. Substitute p = 10 to q, which gives q = 71.\n\nThus, the final answer is q = \\boxed{71}.",
"index": 10916,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = g + 20; m = s + 2; c = j + 20; n = t + 3; k = u + 15; q = b + 16; g = w + 16; b = c + 4; p = 10; j = k + 1; s = p + 19; u = p + 5; w = m + 7. If p = 10, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"k": "o + 8", "a": "k + 14", "b": "a + 11", "w": "b + 11", "n": "w + 1", "e": "n + 1", "i": "o + 4", "s": "i + 12", "y": "s + 7", "v": "y + 15", "c": "v + 20", "t": "c + 6", "o": 13}, "premises": {"o": 13}, "target": "e"}, "answer": {"steps": [["n", "w + 1", "w + 2"], ["w", "b + 11", "b + 13"], ["b", "a + 11", "a + 24"], ["a", "k + 14", "k + 38"], ["k", "o + 8", "o + 46"], ["o", 13, "59"]], "target_var_name": "e", "target_value": 59, "value_dict": {"o": 13}, "is_reverse": true}} | 10,917 | 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 = 13; k = o + 8; n = w + 1; t = c + 6; a = k + 14; c = v + 20; i = o + 4; b = a + 11; s = i + 12; e = n + 1; w = b + 11; y = s + 7; v = y + 15. If o = 13, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = w + 1 to e, which gives e = w + 2.\n2. Substitute w = b + 11 to e, which gives e = b + 13.\n3. Substitute b = a + 11 to e, which gives e = a + 24.\n4. Substitute a = k + 14 to e, which gives e = k + 38.\n5. Substitute k = o + 8 to e, which gives e = o + 46.\n6. Substitute o = 13 to e, which gives e = 59.\n\nThus, the final answer is e = \\boxed{59}.",
"index": 10917,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = 13; k = o + 8; n = w + 1; t = c + 6; a = k + 14; c = v + 20; i = o + 4; b = a + 11; s = i + 12; e = n + 1; w = b + 11; y = s + 7; v = y + 15. If o = 13, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"l": "w + 5", "a": "l + 4", "c": "a + 19", "f": "c + 15", "v": "f + 3", "j": "v + 18", "k": "w + 13", "m": "k + 8", "y": "m + 6", "p": "y + 18", "i": "p + 11", "g": "i + 4", "w": 9}, "premises": {"w": 9}, "target": "j"}, "answer": {"steps": [["v", "f + 3", "f + 21"], ["f", "c + 15", "c + 36"], ["c", "a + 19", "a + 55"], ["a", "l + 4", "l + 59"], ["l", "w + 5", "w + 64"], ["w", 9, "73"]], "target_var_name": "j", "target_value": 73, "value_dict": {"w": 9}, "is_reverse": true}} | 10,918 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = w + 5; c = a + 19; m = k + 8; j = v + 18; k = w + 13; w = 9; a = l + 4; g = i + 4; p = y + 18; y = m + 6; i = p + 11; f = c + 15; v = f + 3. If w = 9, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = f + 3 to j, which gives j = f + 21.\n2. Substitute f = c + 15 to j, which gives j = c + 36.\n3. Substitute c = a + 19 to j, which gives j = a + 55.\n4. Substitute a = l + 4 to j, which gives j = l + 59.\n5. Substitute l = w + 5 to j, which gives j = w + 64.\n6. Substitute w = 9 to j, which gives j = 73.\n\nThus, the final answer is j = \\boxed{73}.",
"index": 10918,
"question": "Consider a system of variables where each variable is defined as follows: l = w + 5; c = a + 19; m = k + 8; j = v + 18; k = w + 13; w = 9; a = l + 4; g = i + 4; p = y + 18; y = m + 6; i = p + 11; f = c + 15; v = f + 3. If w = 9, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"x": "b + 17", "i": "x + 16", "h": "i + 10", "r": "h + 15", "l": "r + 15", "g": "l + 17", "d": "b + 13", "c": "d + 3", "t": "c + 9", "f": "t + 12", "z": "f + 17", "p": "z + 19", "b": 12}, "premises": {"b": 12}, "target": "g"}, "answer": {"steps": [["l", "r + 15", "r + 32"], ["r", "h + 15", "h + 47"], ["h", "i + 10", "i + 57"], ["i", "x + 16", "x + 73"], ["x", "b + 17", "b + 90"], ["b", 12, "102"]], "target_var_name": "g", "target_value": 102, "value_dict": {"b": 12}, "is_reverse": true}} | 10,919 | 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 + 13; f = t + 12; t = c + 9; b = 12; r = h + 15; i = x + 16; l = r + 15; z = f + 17; g = l + 17; c = d + 3; x = b + 17; h = i + 10; p = z + 19. If b = 12, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 102,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = r + 15 to g, which gives g = r + 32.\n2. Substitute r = h + 15 to g, which gives g = h + 47.\n3. Substitute h = i + 10 to g, which gives g = i + 57.\n4. Substitute i = x + 16 to g, which gives g = x + 73.\n5. Substitute x = b + 17 to g, which gives g = b + 90.\n6. Substitute b = 12 to g, which gives g = 102.\n\nThus, the final answer is g = \\boxed{102}.",
"index": 10919,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = b + 13; f = t + 12; t = c + 9; b = 12; r = h + 15; i = x + 16; l = r + 15; z = f + 17; g = l + 17; c = d + 3; x = b + 17; h = i + 10; p = z + 19. If b = 12, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"f": "s + 7", "u": "f + 4", "a": "u + 20", "w": "a + 5", "o": "w + 15", "h": "o + 4", "q": "s + 18", "j": "q + 12", "c": "j + 5", "e": "c + 8", "i": "e + 1", "p": "i + 5", "s": 5}, "premises": {"s": 5}, "target": "h"}, "answer": {"steps": [["o", "w + 15", "w + 19"], ["w", "a + 5", "a + 24"], ["a", "u + 20", "u + 44"], ["u", "f + 4", "f + 48"], ["f", "s + 7", "s + 55"], ["s", 5, "60"]], "target_var_name": "h", "target_value": 60, "value_dict": {"s": 5}, "is_reverse": true}} | 10,920 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = e + 1; j = q + 12; c = j + 5; e = c + 8; p = i + 5; f = s + 7; h = o + 4; w = a + 5; q = s + 18; s = 5; o = w + 15; u = f + 4; a = u + 20. If s = 5, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = w + 15 to h, which gives h = w + 19.\n2. Substitute w = a + 5 to h, which gives h = a + 24.\n3. Substitute a = u + 20 to h, which gives h = u + 44.\n4. Substitute u = f + 4 to h, which gives h = f + 48.\n5. Substitute f = s + 7 to h, which gives h = s + 55.\n6. Substitute s = 5 to h, which gives h = 60.\n\nThus, the final answer is h = \\boxed{60}.",
"index": 10920,
"question": "Consider a system of variables where each variable is defined as follows: i = e + 1; j = q + 12; c = j + 5; e = c + 8; p = i + 5; f = s + 7; h = o + 4; w = a + 5; q = s + 18; s = 5; o = w + 15; u = f + 4; a = u + 20. If s = 5, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"s": "v + 14", "w": "s + 3", "y": "w + 13", "z": "y + 17", "b": "z + 3", "h": "b + 2", "i": "v + 5", "j": "i + 10", "l": "j + 14", "o": "l + 2", "c": "o + 3", "m": "c + 19", "v": 7}, "premises": {"v": 7}, "target": "h"}, "answer": {"steps": [["b", "z + 3", "z + 5"], ["z", "y + 17", "y + 22"], ["y", "w + 13", "w + 35"], ["w", "s + 3", "s + 38"], ["s", "v + 14", "v + 52"], ["v", 7, "59"]], "target_var_name": "h", "target_value": 59, "value_dict": {"v": 7}, "is_reverse": true}} | 10,921 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = z + 3; i = v + 5; o = l + 2; z = y + 17; j = i + 10; v = 7; w = s + 3; h = b + 2; s = v + 14; y = w + 13; l = j + 14; m = c + 19; c = o + 3. Given that v = 7, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = z + 3 to h, which gives h = z + 5.\n2. Substitute z = y + 17 to h, which gives h = y + 22.\n3. Substitute y = w + 13 to h, which gives h = w + 35.\n4. Substitute w = s + 3 to h, which gives h = s + 38.\n5. Substitute s = v + 14 to h, which gives h = v + 52.\n6. Substitute v = 7 to h, which gives h = 59.\n\nThus, the final answer is h = \\boxed{59}.",
"index": 10921,
"question": "Suppose a collection of variables is related by the following definitions: b = z + 3; i = v + 5; o = l + 2; z = y + 17; j = i + 10; v = 7; w = s + 3; h = b + 2; s = v + 14; y = w + 13; l = j + 14; m = c + 19; c = o + 3. Given that v = 7, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"g": "b + 18", "z": "g + 11", "k": "z + 13", "j": "k + 9", "l": "j + 7", "r": "l + 11", "d": "b + 19", "p": "d + 3", "f": "p + 18", "m": "f + 10", "u": "m + 20", "i": "u + 12", "b": 2}, "premises": {"b": 2}, "target": "r"}, "answer": {"steps": [["l", "j + 7", "j + 18"], ["j", "k + 9", "k + 27"], ["k", "z + 13", "z + 40"], ["z", "g + 11", "g + 51"], ["g", "b + 18", "b + 69"], ["b", 2, "71"]], "target_var_name": "r", "target_value": 71, "value_dict": {"b": 2}, "is_reverse": true}} | 10,922 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = d + 3; b = 2; k = z + 13; i = u + 12; f = p + 18; r = l + 11; d = b + 19; g = b + 18; l = j + 7; j = k + 9; u = m + 20; m = f + 10; z = g + 11. If b = 2, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = j + 7 to r, which gives r = j + 18.\n2. Substitute j = k + 9 to r, which gives r = k + 27.\n3. Substitute k = z + 13 to r, which gives r = z + 40.\n4. Substitute z = g + 11 to r, which gives r = g + 51.\n5. Substitute g = b + 18 to r, which gives r = b + 69.\n6. Substitute b = 2 to r, which gives r = 71.\n\nThus, the final answer is r = \\boxed{71}.",
"index": 10922,
"question": "Consider a system of variables where each variable is defined as follows: p = d + 3; b = 2; k = z + 13; i = u + 12; f = p + 18; r = l + 11; d = b + 19; g = b + 18; l = j + 7; j = k + 9; u = m + 20; m = f + 10; z = g + 11. If b = 2, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"d": "e + 15", "t": "d + 15", "i": "t + 7", "h": "i + 7", "v": "h + 2", "n": "v + 6", "b": "e + 4", "l": "b + 5", "r": "l + 4", "g": "r + 19", "f": "g + 2", "w": "f + 19", "e": 13}, "premises": {"e": 13}, "target": "n"}, "answer": {"steps": [["v", "h + 2", "h + 8"], ["h", "i + 7", "i + 15"], ["i", "t + 7", "t + 22"], ["t", "d + 15", "d + 37"], ["d", "e + 15", "e + 52"], ["e", 13, "65"]], "target_var_name": "n", "target_value": 65, "value_dict": {"e": 13}, "is_reverse": true}} | 10,923 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = v + 6; w = f + 19; h = i + 7; e = 13; d = e + 15; g = r + 19; l = b + 5; r = l + 4; f = g + 2; t = d + 15; b = e + 4; i = t + 7; v = h + 2. If e = 13, determine the 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 v = h + 2 to n, which gives n = h + 8.\n2. Substitute h = i + 7 to n, which gives n = i + 15.\n3. Substitute i = t + 7 to n, which gives n = t + 22.\n4. Substitute t = d + 15 to n, which gives n = d + 37.\n5. Substitute d = e + 15 to n, which gives n = e + 52.\n6. Substitute e = 13 to n, which gives n = 65.\n\nThus, the final answer is n = \\boxed{65}.",
"index": 10923,
"question": "Consider a system of variables where each variable is defined as follows: n = v + 6; w = f + 19; h = i + 7; e = 13; d = e + 15; g = r + 19; l = b + 5; r = l + 4; f = g + 2; t = d + 15; b = e + 4; i = t + 7; v = h + 2. If e = 13, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"i": "q + 4", "s": "i + 8", "v": "s + 3", "n": "v + 5", "w": "n + 15", "y": "w + 1", "m": "q + 3", "b": "m + 16", "r": "b + 1", "g": "r + 9", "u": "g + 7", "p": "u + 8", "q": 8}, "premises": {"q": 8}, "target": "y"}, "answer": {"steps": [["w", "n + 15", "n + 16"], ["n", "v + 5", "v + 21"], ["v", "s + 3", "s + 24"], ["s", "i + 8", "i + 32"], ["i", "q + 4", "q + 36"], ["q", 8, "44"]], "target_var_name": "y", "target_value": 44, "value_dict": {"q": 8}, "is_reverse": true}} | 10,924 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = m + 16; u = g + 7; q = 8; s = i + 8; y = w + 1; n = v + 5; r = b + 1; v = s + 3; p = u + 8; i = q + 4; m = q + 3; w = n + 15; g = r + 9. Given that q = 8, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 44,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = n + 15 to y, which gives y = n + 16.\n2. Substitute n = v + 5 to y, which gives y = v + 21.\n3. Substitute v = s + 3 to y, which gives y = s + 24.\n4. Substitute s = i + 8 to y, which gives y = i + 32.\n5. Substitute i = q + 4 to y, which gives y = q + 36.\n6. Substitute q = 8 to y, which gives y = 44.\n\nThus, the final answer is y = \\boxed{44}.",
"index": 10924,
"question": "Suppose a collection of variables is related by the following definitions: b = m + 16; u = g + 7; q = 8; s = i + 8; y = w + 1; n = v + 5; r = b + 1; v = s + 3; p = u + 8; i = q + 4; m = q + 3; w = n + 15; g = r + 9. Given that q = 8, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"k": "a + 5", "y": "k + 19", "t": "y + 20", "r": "t + 3", "z": "r + 13", "w": "z + 6", "q": "a + 10", "v": "q + 5", "x": "v + 10", "n": "x + 4", "d": "n + 20", "l": "d + 4", "a": 17}, "premises": {"a": 17}, "target": "w"}, "answer": {"steps": [["z", "r + 13", "r + 19"], ["r", "t + 3", "t + 22"], ["t", "y + 20", "y + 42"], ["y", "k + 19", "k + 61"], ["k", "a + 5", "a + 66"], ["a", 17, "83"]], "target_var_name": "w", "target_value": 83, "value_dict": {"a": 17}, "is_reverse": true}} | 10,925 | 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 + 10; y = k + 19; v = q + 5; k = a + 5; l = d + 4; r = t + 3; w = z + 6; x = v + 10; n = x + 4; t = y + 20; d = n + 20; z = r + 13; a = 17. If a = 17, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = r + 13 to w, which gives w = r + 19.\n2. Substitute r = t + 3 to w, which gives w = t + 22.\n3. Substitute t = y + 20 to w, which gives w = y + 42.\n4. Substitute y = k + 19 to w, which gives w = k + 61.\n5. Substitute k = a + 5 to w, which gives w = a + 66.\n6. Substitute a = 17 to w, which gives w = 83.\n\nThus, the final answer is w = \\boxed{83}.",
"index": 10925,
"question": "Consider a system of variables where each variable is defined as follows: q = a + 10; y = k + 19; v = q + 5; k = a + 5; l = d + 4; r = t + 3; w = z + 6; x = v + 10; n = x + 4; t = y + 20; d = n + 20; z = r + 13; a = 17. If a = 17, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"m": "y + 9", "k": "m + 7", "n": "k + 6", "z": "n + 8", "b": "z + 11", "h": "b + 8", "p": "y + 7", "d": "p + 12", "o": "d + 1", "f": "o + 3", "a": "f + 8", "l": "a + 10", "y": 1}, "premises": {"y": 1}, "target": "h"}, "answer": {"steps": [["b", "z + 11", "z + 19"], ["z", "n + 8", "n + 27"], ["n", "k + 6", "k + 33"], ["k", "m + 7", "m + 40"], ["m", "y + 9", "y + 49"], ["y", 1, "50"]], "target_var_name": "h", "target_value": 50, "value_dict": {"y": 1}, "is_reverse": true}} | 10,926 | 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 = p + 12; p = y + 7; h = b + 8; y = 1; l = a + 10; m = y + 9; n = k + 6; k = m + 7; o = d + 1; a = f + 8; f = o + 3; z = n + 8; b = z + 11. If y = 1, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = z + 11 to h, which gives h = z + 19.\n2. Substitute z = n + 8 to h, which gives h = n + 27.\n3. Substitute n = k + 6 to h, which gives h = k + 33.\n4. Substitute k = m + 7 to h, which gives h = m + 40.\n5. Substitute m = y + 9 to h, which gives h = y + 49.\n6. Substitute y = 1 to h, which gives h = 50.\n\nThus, the final answer is h = \\boxed{50}.",
"index": 10926,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = p + 12; p = y + 7; h = b + 8; y = 1; l = a + 10; m = y + 9; n = k + 6; k = m + 7; o = d + 1; a = f + 8; f = o + 3; z = n + 8; b = z + 11. If y = 1, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"f": "c + 5", "p": "f + 1", "o": "p + 10", "z": "o + 10", "q": "z + 3", "n": "q + 7", "s": "c + 19", "k": "s + 20", "h": "k + 2", "w": "h + 9", "l": "w + 1", "g": "l + 3", "c": 10}, "premises": {"c": 10}, "target": "n"}, "answer": {"steps": [["q", "z + 3", "z + 10"], ["z", "o + 10", "o + 20"], ["o", "p + 10", "p + 30"], ["p", "f + 1", "f + 31"], ["f", "c + 5", "c + 36"], ["c", 10, "46"]], "target_var_name": "n", "target_value": 46, "value_dict": {"c": 10}, "is_reverse": true}} | 10,927 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = 10; o = p + 10; g = l + 3; k = s + 20; h = k + 2; w = h + 9; q = z + 3; f = c + 5; z = o + 10; p = f + 1; l = w + 1; n = q + 7; s = c + 19. Given that c = 10, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = z + 3 to n, which gives n = z + 10.\n2. Substitute z = o + 10 to n, which gives n = o + 20.\n3. Substitute o = p + 10 to n, which gives n = p + 30.\n4. Substitute p = f + 1 to n, which gives n = f + 31.\n5. Substitute f = c + 5 to n, which gives n = c + 36.\n6. Substitute c = 10 to n, which gives n = 46.\n\nThus, the final answer is n = \\boxed{46}.",
"index": 10927,
"question": "Suppose a collection of variables is related by the following definitions: c = 10; o = p + 10; g = l + 3; k = s + 20; h = k + 2; w = h + 9; q = z + 3; f = c + 5; z = o + 10; p = f + 1; l = w + 1; n = q + 7; s = c + 19. Given that c = 10, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"z": "s + 20", "h": "z + 13", "r": "h + 18", "o": "r + 15", "e": "o + 15", "x": "e + 5", "f": "s + 2", "u": "f + 18", "i": "u + 2", "j": "i + 16", "w": "j + 10", "k": "w + 16", "s": 16}, "premises": {"s": 16}, "target": "x"}, "answer": {"steps": [["e", "o + 15", "o + 20"], ["o", "r + 15", "r + 35"], ["r", "h + 18", "h + 53"], ["h", "z + 13", "z + 66"], ["z", "s + 20", "s + 86"], ["s", 16, "102"]], "target_var_name": "x", "target_value": 102, "value_dict": {"s": 16}, "is_reverse": true}} | 10,928 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = h + 18; o = r + 15; u = f + 18; j = i + 16; z = s + 20; i = u + 2; x = e + 5; k = w + 16; h = z + 13; e = o + 15; s = 16; w = j + 10; f = s + 2. If s = 16, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 102,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = o + 15 to x, which gives x = o + 20.\n2. Substitute o = r + 15 to x, which gives x = r + 35.\n3. Substitute r = h + 18 to x, which gives x = h + 53.\n4. Substitute h = z + 13 to x, which gives x = z + 66.\n5. Substitute z = s + 20 to x, which gives x = s + 86.\n6. Substitute s = 16 to x, which gives x = 102.\n\nThus, the final answer is x = \\boxed{102}.",
"index": 10928,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = h + 18; o = r + 15; u = f + 18; j = i + 16; z = s + 20; i = u + 2; x = e + 5; k = w + 16; h = z + 13; e = o + 15; s = 16; w = j + 10; f = s + 2. If s = 16, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"y": "x + 13", "u": "y + 5", "z": "u + 5", "m": "z + 20", "n": "m + 6", "s": "n + 9", "t": "x + 20", "p": "t + 7", "a": "p + 10", "o": "a + 20", "g": "o + 4", "d": "g + 6", "x": 1}, "premises": {"x": 1}, "target": "s"}, "answer": {"steps": [["n", "m + 6", "m + 15"], ["m", "z + 20", "z + 35"], ["z", "u + 5", "u + 40"], ["u", "y + 5", "y + 45"], ["y", "x + 13", "x + 58"], ["x", 1, "59"]], "target_var_name": "s", "target_value": 59, "value_dict": {"x": 1}, "is_reverse": true}} | 10,929 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = z + 20; n = m + 6; t = x + 20; d = g + 6; g = o + 4; p = t + 7; s = n + 9; o = a + 20; a = p + 10; x = 1; u = y + 5; y = x + 13; z = u + 5. If x = 1, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = m + 6 to s, which gives s = m + 15.\n2. Substitute m = z + 20 to s, which gives s = z + 35.\n3. Substitute z = u + 5 to s, which gives s = u + 40.\n4. Substitute u = y + 5 to s, which gives s = y + 45.\n5. Substitute y = x + 13 to s, which gives s = x + 58.\n6. Substitute x = 1 to s, which gives s = 59.\n\nThus, the final answer is s = \\boxed{59}.",
"index": 10929,
"question": "Consider a system of variables where each variable is defined as follows: m = z + 20; n = m + 6; t = x + 20; d = g + 6; g = o + 4; p = t + 7; s = n + 9; o = a + 20; a = p + 10; x = 1; u = y + 5; y = x + 13; z = u + 5. If x = 1, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"b": "g + 19", "q": "b + 16", "i": "q + 19", "v": "i + 18", "w": "v + 13", "t": "w + 20", "h": "g + 7", "l": "h + 5", "x": "l + 14", "o": "x + 2", "e": "o + 16", "r": "e + 11", "g": 18}, "premises": {"g": 18}, "target": "t"}, "answer": {"steps": [["w", "v + 13", "v + 33"], ["v", "i + 18", "i + 51"], ["i", "q + 19", "q + 70"], ["q", "b + 16", "b + 86"], ["b", "g + 19", "g + 105"], ["g", 18, "123"]], "target_var_name": "t", "target_value": 123, "value_dict": {"g": 18}, "is_reverse": true}} | 10,930 | 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 = 18; o = x + 2; h = g + 7; i = q + 19; q = b + 16; l = h + 5; t = w + 20; v = i + 18; r = e + 11; e = o + 16; x = l + 14; b = g + 19; w = v + 13. If g = 18, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 123,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = v + 13 to t, which gives t = v + 33.\n2. Substitute v = i + 18 to t, which gives t = i + 51.\n3. Substitute i = q + 19 to t, which gives t = q + 70.\n4. Substitute q = b + 16 to t, which gives t = b + 86.\n5. Substitute b = g + 19 to t, which gives t = g + 105.\n6. Substitute g = 18 to t, which gives t = 123.\n\nThus, the final answer is t = \\boxed{123}.",
"index": 10930,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = 18; o = x + 2; h = g + 7; i = q + 19; q = b + 16; l = h + 5; t = w + 20; v = i + 18; r = e + 11; e = o + 16; x = l + 14; b = g + 19; w = v + 13. If g = 18, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"p": "r + 14", "s": "p + 1", "o": "s + 18", "j": "o + 5", "n": "j + 20", "a": "n + 2", "e": "r + 5", "x": "e + 1", "m": "x + 17", "u": "m + 3", "k": "u + 11", "h": "k + 11", "r": 14}, "premises": {"r": 14}, "target": "a"}, "answer": {"steps": [["n", "j + 20", "j + 22"], ["j", "o + 5", "o + 27"], ["o", "s + 18", "s + 45"], ["s", "p + 1", "p + 46"], ["p", "r + 14", "r + 60"], ["r", 14, "74"]], "target_var_name": "a", "target_value": 74, "value_dict": {"r": 14}, "is_reverse": true}} | 10,931 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = p + 1; o = s + 18; e = r + 5; x = e + 1; k = u + 11; n = j + 20; p = r + 14; h = k + 11; r = 14; j = o + 5; u = m + 3; m = x + 17; a = n + 2. Given that r = 14, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = j + 20 to a, which gives a = j + 22.\n2. Substitute j = o + 5 to a, which gives a = o + 27.\n3. Substitute o = s + 18 to a, which gives a = s + 45.\n4. Substitute s = p + 1 to a, which gives a = p + 46.\n5. Substitute p = r + 14 to a, which gives a = r + 60.\n6. Substitute r = 14 to a, which gives a = 74.\n\nThus, the final answer is a = \\boxed{74}.",
"index": 10931,
"question": "Suppose a collection of variables is related by the following definitions: s = p + 1; o = s + 18; e = r + 5; x = e + 1; k = u + 11; n = j + 20; p = r + 14; h = k + 11; r = 14; j = o + 5; u = m + 3; m = x + 17; a = n + 2. Given that r = 14, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"z": "e + 15", "s": "z + 16", "m": "s + 1", "y": "m + 12", "v": "y + 3", "g": "v + 14", "b": "e + 14", "f": "b + 4", "w": "f + 9", "k": "w + 17", "p": "k + 13", "x": "p + 14", "e": 14}, "premises": {"e": 14}, "target": "g"}, "answer": {"steps": [["v", "y + 3", "y + 17"], ["y", "m + 12", "m + 29"], ["m", "s + 1", "s + 30"], ["s", "z + 16", "z + 46"], ["z", "e + 15", "e + 61"], ["e", 14, "75"]], "target_var_name": "g", "target_value": 75, "value_dict": {"e": 14}, "is_reverse": true}} | 10,932 | 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 = p + 14; z = e + 15; g = v + 14; b = e + 14; v = y + 3; f = b + 4; k = w + 17; m = s + 1; s = z + 16; e = 14; p = k + 13; y = m + 12; w = f + 9. If e = 14, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = y + 3 to g, which gives g = y + 17.\n2. Substitute y = m + 12 to g, which gives g = m + 29.\n3. Substitute m = s + 1 to g, which gives g = s + 30.\n4. Substitute s = z + 16 to g, which gives g = z + 46.\n5. Substitute z = e + 15 to g, which gives g = e + 61.\n6. Substitute e = 14 to g, which gives g = 75.\n\nThus, the final answer is g = \\boxed{75}.",
"index": 10932,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = p + 14; z = e + 15; g = v + 14; b = e + 14; v = y + 3; f = b + 4; k = w + 17; m = s + 1; s = z + 16; e = 14; p = k + 13; y = m + 12; w = f + 9. If e = 14, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"a": "g + 20", "l": "a + 14", "m": "l + 2", "b": "m + 20", "d": "b + 9", "x": "d + 8", "h": "g + 8", "z": "h + 17", "j": "z + 11", "o": "j + 9", "y": "o + 18", "n": "y + 12", "g": 7}, "premises": {"g": 7}, "target": "x"}, "answer": {"steps": [["d", "b + 9", "b + 17"], ["b", "m + 20", "m + 37"], ["m", "l + 2", "l + 39"], ["l", "a + 14", "a + 53"], ["a", "g + 20", "g + 73"], ["g", 7, "80"]], "target_var_name": "x", "target_value": 80, "value_dict": {"g": 7}, "is_reverse": true}} | 10,933 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = a + 14; b = m + 20; y = o + 18; g = 7; o = j + 9; x = d + 8; d = b + 9; j = z + 11; h = g + 8; m = l + 2; a = g + 20; n = y + 12; z = h + 17. If g = 7, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = b + 9 to x, which gives x = b + 17.\n2. Substitute b = m + 20 to x, which gives x = m + 37.\n3. Substitute m = l + 2 to x, which gives x = l + 39.\n4. Substitute l = a + 14 to x, which gives x = a + 53.\n5. Substitute a = g + 20 to x, which gives x = g + 73.\n6. Substitute g = 7 to x, which gives x = 80.\n\nThus, the final answer is x = \\boxed{80}.",
"index": 10933,
"question": "Consider a system of variables where each variable is defined as follows: l = a + 14; b = m + 20; y = o + 18; g = 7; o = j + 9; x = d + 8; d = b + 9; j = z + 11; h = g + 8; m = l + 2; a = g + 20; n = y + 12; z = h + 17. If g = 7, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"y": "n + 4", "g": "y + 13", "o": "g + 1", "w": "o + 6", "f": "w + 18", "k": "f + 14", "l": "n + 17", "z": "l + 4", "d": "z + 15", "u": "d + 9", "q": "u + 9", "e": "q + 20", "n": 17}, "premises": {"n": 17}, "target": "k"}, "answer": {"steps": [["f", "w + 18", "w + 32"], ["w", "o + 6", "o + 38"], ["o", "g + 1", "g + 39"], ["g", "y + 13", "y + 52"], ["y", "n + 4", "n + 56"], ["n", 17, "73"]], "target_var_name": "k", "target_value": 73, "value_dict": {"n": 17}, "is_reverse": true}} | 10,934 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = z + 15; g = y + 13; y = n + 4; w = o + 6; u = d + 9; q = u + 9; o = g + 1; n = 17; l = n + 17; z = l + 4; f = w + 18; k = f + 14; e = q + 20. Given that n = 17, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = w + 18 to k, which gives k = w + 32.\n2. Substitute w = o + 6 to k, which gives k = o + 38.\n3. Substitute o = g + 1 to k, which gives k = g + 39.\n4. Substitute g = y + 13 to k, which gives k = y + 52.\n5. Substitute y = n + 4 to k, which gives k = n + 56.\n6. Substitute n = 17 to k, which gives k = 73.\n\nThus, the final answer is k = \\boxed{73}.",
"index": 10934,
"question": "Suppose a collection of variables is related by the following definitions: d = z + 15; g = y + 13; y = n + 4; w = o + 6; u = d + 9; q = u + 9; o = g + 1; n = 17; l = n + 17; z = l + 4; f = w + 18; k = f + 14; e = q + 20. Given that n = 17, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"r": "c + 13", "y": "r + 16", "x": "y + 14", "u": "x + 7", "f": "u + 3", "v": "f + 20", "j": "c + 15", "i": "j + 5", "g": "i + 9", "p": "g + 7", "e": "p + 3", "d": "e + 15", "c": 3}, "premises": {"c": 3}, "target": "v"}, "answer": {"steps": [["f", "u + 3", "u + 23"], ["u", "x + 7", "x + 30"], ["x", "y + 14", "y + 44"], ["y", "r + 16", "r + 60"], ["r", "c + 13", "c + 73"], ["c", 3, "76"]], "target_var_name": "v", "target_value": 76, "value_dict": {"c": 3}, "is_reverse": true}} | 10,935 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = j + 5; c = 3; j = c + 15; v = f + 20; y = r + 16; r = c + 13; d = e + 15; x = y + 14; p = g + 7; u = x + 7; e = p + 3; f = u + 3; g = i + 9. If c = 3, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = u + 3 to v, which gives v = u + 23.\n2. Substitute u = x + 7 to v, which gives v = x + 30.\n3. Substitute x = y + 14 to v, which gives v = y + 44.\n4. Substitute y = r + 16 to v, which gives v = r + 60.\n5. Substitute r = c + 13 to v, which gives v = c + 73.\n6. Substitute c = 3 to v, which gives v = 76.\n\nThus, the final answer is v = \\boxed{76}.",
"index": 10935,
"question": "Consider a system of variables where each variable is defined as follows: i = j + 5; c = 3; j = c + 15; v = f + 20; y = r + 16; r = c + 13; d = e + 15; x = y + 14; p = g + 7; u = x + 7; e = p + 3; f = u + 3; g = i + 9. If c = 3, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"p": "g + 19", "u": "p + 14", "w": "u + 1", "v": "w + 7", "o": "v + 17", "d": "o + 20", "z": "g + 6", "c": "z + 20", "l": "c + 15", "e": "l + 2", "t": "e + 2", "y": "t + 11", "g": 12}, "premises": {"g": 12}, "target": "d"}, "answer": {"steps": [["o", "v + 17", "v + 37"], ["v", "w + 7", "w + 44"], ["w", "u + 1", "u + 45"], ["u", "p + 14", "p + 59"], ["p", "g + 19", "g + 78"], ["g", 12, "90"]], "target_var_name": "d", "target_value": 90, "value_dict": {"g": 12}, "is_reverse": true}} | 10,936 | 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 + 15; u = p + 14; d = o + 20; p = g + 19; c = z + 20; e = l + 2; y = t + 11; o = v + 17; t = e + 2; w = u + 1; z = g + 6; v = w + 7; g = 12. If g = 12, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = v + 17 to d, which gives d = v + 37.\n2. Substitute v = w + 7 to d, which gives d = w + 44.\n3. Substitute w = u + 1 to d, which gives d = u + 45.\n4. Substitute u = p + 14 to d, which gives d = p + 59.\n5. Substitute p = g + 19 to d, which gives d = g + 78.\n6. Substitute g = 12 to d, which gives d = 90.\n\nThus, the final answer is d = \\boxed{90}.",
"index": 10936,
"question": "Consider a system of variables where each variable is defined as follows: l = c + 15; u = p + 14; d = o + 20; p = g + 19; c = z + 20; e = l + 2; y = t + 11; o = v + 17; t = e + 2; w = u + 1; z = g + 6; v = w + 7; g = 12. If g = 12, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"r": "h + 14", "u": "r + 18", "b": "u + 14", "c": "b + 13", "z": "c + 7", "x": "z + 20", "q": "h + 6", "d": "q + 13", "a": "d + 4", "e": "a + 20", "g": "e + 11", "t": "g + 4", "h": 6}, "premises": {"h": 6}, "target": "x"}, "answer": {"steps": [["z", "c + 7", "c + 27"], ["c", "b + 13", "b + 40"], ["b", "u + 14", "u + 54"], ["u", "r + 18", "r + 72"], ["r", "h + 14", "h + 86"], ["h", 6, "92"]], "target_var_name": "x", "target_value": 92, "value_dict": {"h": 6}, "is_reverse": true}} | 10,937 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = b + 13; t = g + 4; q = h + 6; x = z + 20; a = d + 4; h = 6; z = c + 7; e = a + 20; b = u + 14; d = q + 13; g = e + 11; u = r + 18; r = h + 14. If h = 6, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = c + 7 to x, which gives x = c + 27.\n2. Substitute c = b + 13 to x, which gives x = b + 40.\n3. Substitute b = u + 14 to x, which gives x = u + 54.\n4. Substitute u = r + 18 to x, which gives x = r + 72.\n5. Substitute r = h + 14 to x, which gives x = h + 86.\n6. Substitute h = 6 to x, which gives x = 92.\n\nThus, the final answer is x = \\boxed{92}.",
"index": 10937,
"question": "Consider a system of variables where each variable is defined as follows: c = b + 13; t = g + 4; q = h + 6; x = z + 20; a = d + 4; h = 6; z = c + 7; e = a + 20; b = u + 14; d = q + 13; g = e + 11; u = r + 18; r = h + 14. If h = 6, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"f": "s + 17", "t": "f + 16", "c": "t + 9", "n": "c + 16", "p": "n + 17", "b": "p + 4", "r": "s + 2", "u": "r + 16", "w": "u + 15", "g": "w + 16", "o": "g + 3", "z": "o + 9", "s": 15}, "premises": {"s": 15}, "target": "b"}, "answer": {"steps": [["p", "n + 17", "n + 21"], ["n", "c + 16", "c + 37"], ["c", "t + 9", "t + 46"], ["t", "f + 16", "f + 62"], ["f", "s + 17", "s + 79"], ["s", 15, "94"]], "target_var_name": "b", "target_value": 94, "value_dict": {"s": 15}, "is_reverse": true}} | 10,938 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = n + 17; g = w + 16; c = t + 9; o = g + 3; b = p + 4; u = r + 16; n = c + 16; z = o + 9; w = u + 15; t = f + 16; f = s + 17; s = 15; r = s + 2. If s = 15, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = n + 17 to b, which gives b = n + 21.\n2. Substitute n = c + 16 to b, which gives b = c + 37.\n3. Substitute c = t + 9 to b, which gives b = t + 46.\n4. Substitute t = f + 16 to b, which gives b = f + 62.\n5. Substitute f = s + 17 to b, which gives b = s + 79.\n6. Substitute s = 15 to b, which gives b = 94.\n\nThus, the final answer is b = \\boxed{94}.",
"index": 10938,
"question": "Consider a system of variables where each variable is defined as follows: p = n + 17; g = w + 16; c = t + 9; o = g + 3; b = p + 4; u = r + 16; n = c + 16; z = o + 9; w = u + 15; t = f + 16; f = s + 17; s = 15; r = s + 2. If s = 15, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"v": "i + 20", "h": "v + 20", "o": "h + 9", "d": "o + 4", "x": "d + 11", "t": "x + 20", "g": "i + 9", "b": "g + 2", "f": "b + 4", "s": "f + 7", "p": "s + 4", "q": "p + 17", "i": 10}, "premises": {"i": 10}, "target": "t"}, "answer": {"steps": [["x", "d + 11", "d + 31"], ["d", "o + 4", "o + 35"], ["o", "h + 9", "h + 44"], ["h", "v + 20", "v + 64"], ["v", "i + 20", "i + 84"], ["i", 10, "94"]], "target_var_name": "t", "target_value": 94, "value_dict": {"i": 10}, "is_reverse": true}} | 10,939 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = d + 11; h = v + 20; g = i + 9; o = h + 9; d = o + 4; b = g + 2; p = s + 4; f = b + 4; v = i + 20; q = p + 17; i = 10; t = x + 20; s = f + 7. If i = 10, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = d + 11 to t, which gives t = d + 31.\n2. Substitute d = o + 4 to t, which gives t = o + 35.\n3. Substitute o = h + 9 to t, which gives t = h + 44.\n4. Substitute h = v + 20 to t, which gives t = v + 64.\n5. Substitute v = i + 20 to t, which gives t = i + 84.\n6. Substitute i = 10 to t, which gives t = 94.\n\nThus, the final answer is t = \\boxed{94}.",
"index": 10939,
"question": "Consider a system of variables where each variable is defined as follows: x = d + 11; h = v + 20; g = i + 9; o = h + 9; d = o + 4; b = g + 2; p = s + 4; f = b + 4; v = i + 20; q = p + 17; i = 10; t = x + 20; s = f + 7. If i = 10, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"e": "l + 7", "h": "e + 16", "f": "h + 1", "x": "f + 9", "n": "x + 15", "t": "n + 7", "q": "l + 17", "g": "q + 6", "w": "g + 9", "k": "w + 17", "b": "k + 1", "a": "b + 10", "l": 15}, "premises": {"l": 15}, "target": "t"}, "answer": {"steps": [["n", "x + 15", "x + 22"], ["x", "f + 9", "f + 31"], ["f", "h + 1", "h + 32"], ["h", "e + 16", "e + 48"], ["e", "l + 7", "l + 55"], ["l", 15, "70"]], "target_var_name": "t", "target_value": 70, "value_dict": {"l": 15}, "is_reverse": true}} | 10,940 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = b + 10; f = h + 1; n = x + 15; q = l + 17; h = e + 16; l = 15; x = f + 9; e = l + 7; g = q + 6; b = k + 1; w = g + 9; t = n + 7; k = w + 17. If l = 15, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = x + 15 to t, which gives t = x + 22.\n2. Substitute x = f + 9 to t, which gives t = f + 31.\n3. Substitute f = h + 1 to t, which gives t = h + 32.\n4. Substitute h = e + 16 to t, which gives t = e + 48.\n5. Substitute e = l + 7 to t, which gives t = l + 55.\n6. Substitute l = 15 to t, which gives t = 70.\n\nThus, the final answer is t = \\boxed{70}.",
"index": 10940,
"question": "Consider a system of variables where each variable is defined as follows: a = b + 10; f = h + 1; n = x + 15; q = l + 17; h = e + 16; l = 15; x = f + 9; e = l + 7; g = q + 6; b = k + 1; w = g + 9; t = n + 7; k = w + 17. If l = 15, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"s": "r + 10", "l": "s + 14", "j": "l + 2", "e": "j + 20", "f": "e + 11", "b": "f + 9", "n": "r + 7", "c": "n + 2", "t": "c + 1", "k": "t + 6", "w": "k + 16", "i": "w + 6", "r": 10}, "premises": {"r": 10}, "target": "b"}, "answer": {"steps": [["f", "e + 11", "e + 20"], ["e", "j + 20", "j + 40"], ["j", "l + 2", "l + 42"], ["l", "s + 14", "s + 56"], ["s", "r + 10", "r + 66"], ["r", 10, "76"]], "target_var_name": "b", "target_value": 76, "value_dict": {"r": 10}, "is_reverse": true}} | 10,941 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = t + 6; i = w + 6; l = s + 14; t = c + 1; b = f + 9; c = n + 2; s = r + 10; f = e + 11; j = l + 2; e = j + 20; n = r + 7; r = 10; w = k + 16. If r = 10, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = e + 11 to b, which gives b = e + 20.\n2. Substitute e = j + 20 to b, which gives b = j + 40.\n3. Substitute j = l + 2 to b, which gives b = l + 42.\n4. Substitute l = s + 14 to b, which gives b = s + 56.\n5. Substitute s = r + 10 to b, which gives b = r + 66.\n6. Substitute r = 10 to b, which gives b = 76.\n\nThus, the final answer is b = \\boxed{76}.",
"index": 10941,
"question": "Consider a system of variables where each variable is defined as follows: k = t + 6; i = w + 6; l = s + 14; t = c + 1; b = f + 9; c = n + 2; s = r + 10; f = e + 11; j = l + 2; e = j + 20; n = r + 7; r = 10; w = k + 16. If r = 10, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"o": "k + 8", "x": "o + 5", "d": "x + 13", "c": "d + 7", "z": "c + 17", "v": "z + 18", "f": "k + 6", "a": "f + 2", "t": "a + 2", "m": "t + 7", "n": "m + 9", "u": "n + 19", "k": 12}, "premises": {"k": 12}, "target": "v"}, "answer": {"steps": [["z", "c + 17", "c + 35"], ["c", "d + 7", "d + 42"], ["d", "x + 13", "x + 55"], ["x", "o + 5", "o + 60"], ["o", "k + 8", "k + 68"], ["k", 12, "80"]], "target_var_name": "v", "target_value": 80, "value_dict": {"k": 12}, "is_reverse": true}} | 10,942 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = f + 2; u = n + 19; z = c + 17; c = d + 7; k = 12; v = z + 18; d = x + 13; o = k + 8; m = t + 7; n = m + 9; t = a + 2; f = k + 6; x = o + 5. If k = 12, determine the 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 z = c + 17 to v, which gives v = c + 35.\n2. Substitute c = d + 7 to v, which gives v = d + 42.\n3. Substitute d = x + 13 to v, which gives v = x + 55.\n4. Substitute x = o + 5 to v, which gives v = o + 60.\n5. Substitute o = k + 8 to v, which gives v = k + 68.\n6. Substitute k = 12 to v, which gives v = 80.\n\nThus, the final answer is v = \\boxed{80}.",
"index": 10942,
"question": "Consider a system of variables where each variable is defined as follows: a = f + 2; u = n + 19; z = c + 17; c = d + 7; k = 12; v = z + 18; d = x + 13; o = k + 8; m = t + 7; n = m + 9; t = a + 2; f = k + 6; x = o + 5. If k = 12, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"a": "h + 19", "u": "a + 19", "s": "u + 7", "i": "s + 14", "y": "i + 4", "j": "y + 5", "k": "h + 19", "c": "k + 18", "e": "c + 8", "g": "e + 5", "x": "g + 19", "r": "x + 4", "h": 19}, "premises": {"h": 19}, "target": "j"}, "answer": {"steps": [["y", "i + 4", "i + 9"], ["i", "s + 14", "s + 23"], ["s", "u + 7", "u + 30"], ["u", "a + 19", "a + 49"], ["a", "h + 19", "h + 68"], ["h", 19, "87"]], "target_var_name": "j", "target_value": 87, "value_dict": {"h": 19}, "is_reverse": true}} | 10,943 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = x + 4; y = i + 4; k = h + 19; c = k + 18; u = a + 19; j = y + 5; h = 19; x = g + 19; e = c + 8; i = s + 14; a = h + 19; g = e + 5; s = u + 7. If h = 19, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = i + 4 to j, which gives j = i + 9.\n2. Substitute i = s + 14 to j, which gives j = s + 23.\n3. Substitute s = u + 7 to j, which gives j = u + 30.\n4. Substitute u = a + 19 to j, which gives j = a + 49.\n5. Substitute a = h + 19 to j, which gives j = h + 68.\n6. Substitute h = 19 to j, which gives j = 87.\n\nThus, the final answer is j = \\boxed{87}.",
"index": 10943,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = x + 4; y = i + 4; k = h + 19; c = k + 18; u = a + 19; j = y + 5; h = 19; x = g + 19; e = c + 8; i = s + 14; a = h + 19; g = e + 5; s = u + 7. If h = 19, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"y": "a + 9", "e": "y + 20", "u": "e + 15", "l": "u + 4", "o": "l + 6", "n": "o + 5", "k": "a + 11", "s": "k + 14", "w": "s + 6", "j": "w + 15", "x": "j + 1", "i": "x + 10", "a": 11}, "premises": {"a": 11}, "target": "n"}, "answer": {"steps": [["o", "l + 6", "l + 11"], ["l", "u + 4", "u + 15"], ["u", "e + 15", "e + 30"], ["e", "y + 20", "y + 50"], ["y", "a + 9", "a + 59"], ["a", 11, "70"]], "target_var_name": "n", "target_value": 70, "value_dict": {"a": 11}, "is_reverse": true}} | 10,944 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = a + 11; n = o + 5; e = y + 20; l = u + 4; x = j + 1; y = a + 9; s = k + 14; i = x + 10; j = w + 15; a = 11; w = s + 6; u = e + 15; o = l + 6. If a = 11, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = l + 6 to n, which gives n = l + 11.\n2. Substitute l = u + 4 to n, which gives n = u + 15.\n3. Substitute u = e + 15 to n, which gives n = e + 30.\n4. Substitute e = y + 20 to n, which gives n = y + 50.\n5. Substitute y = a + 9 to n, which gives n = a + 59.\n6. Substitute a = 11 to n, which gives n = 70.\n\nThus, the final answer is n = \\boxed{70}.",
"index": 10944,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = a + 11; n = o + 5; e = y + 20; l = u + 4; x = j + 1; y = a + 9; s = k + 14; i = x + 10; j = w + 15; a = 11; w = s + 6; u = e + 15; o = l + 6. If a = 11, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"y": "f + 16", "b": "y + 8", "h": "b + 3", "x": "h + 4", "e": "x + 5", "m": "e + 11", "w": "f + 10", "q": "w + 3", "d": "q + 6", "p": "d + 16", "s": "p + 1", "j": "s + 5", "f": 17}, "premises": {"f": 17}, "target": "m"}, "answer": {"steps": [["e", "x + 5", "x + 16"], ["x", "h + 4", "h + 20"], ["h", "b + 3", "b + 23"], ["b", "y + 8", "y + 31"], ["y", "f + 16", "f + 47"], ["f", 17, "64"]], "target_var_name": "m", "target_value": 64, "value_dict": {"f": 17}, "is_reverse": true}} | 10,945 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = f + 10; j = s + 5; y = f + 16; p = d + 16; d = q + 6; x = h + 4; q = w + 3; s = p + 1; b = y + 8; m = e + 11; f = 17; h = b + 3; e = x + 5. If f = 17, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = x + 5 to m, which gives m = x + 16.\n2. Substitute x = h + 4 to m, which gives m = h + 20.\n3. Substitute h = b + 3 to m, which gives m = b + 23.\n4. Substitute b = y + 8 to m, which gives m = y + 31.\n5. Substitute y = f + 16 to m, which gives m = f + 47.\n6. Substitute f = 17 to m, which gives m = 64.\n\nThus, the final answer is m = \\boxed{64}.",
"index": 10945,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = f + 10; j = s + 5; y = f + 16; p = d + 16; d = q + 6; x = h + 4; q = w + 3; s = p + 1; b = y + 8; m = e + 11; f = 17; h = b + 3; e = x + 5. If f = 17, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"o": "n + 13", "v": "o + 11", "k": "v + 12", "f": "k + 20", "e": "f + 2", "s": "e + 11", "x": "n + 20", "i": "x + 15", "u": "i + 4", "g": "u + 11", "m": "g + 13", "r": "m + 13", "n": 2}, "premises": {"n": 2}, "target": "s"}, "answer": {"steps": [["e", "f + 2", "f + 13"], ["f", "k + 20", "k + 33"], ["k", "v + 12", "v + 45"], ["v", "o + 11", "o + 56"], ["o", "n + 13", "n + 69"], ["n", 2, "71"]], "target_var_name": "s", "target_value": 71, "value_dict": {"n": 2}, "is_reverse": true}} | 10,946 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = v + 12; e = f + 2; i = x + 15; n = 2; g = u + 11; u = i + 4; o = n + 13; f = k + 20; v = o + 11; r = m + 13; x = n + 20; s = e + 11; m = g + 13. If n = 2, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = f + 2 to s, which gives s = f + 13.\n2. Substitute f = k + 20 to s, which gives s = k + 33.\n3. Substitute k = v + 12 to s, which gives s = v + 45.\n4. Substitute v = o + 11 to s, which gives s = o + 56.\n5. Substitute o = n + 13 to s, which gives s = n + 69.\n6. Substitute n = 2 to s, which gives s = 71.\n\nThus, the final answer is s = \\boxed{71}.",
"index": 10946,
"question": "Consider a system of variables where each variable is defined as follows: k = v + 12; e = f + 2; i = x + 15; n = 2; g = u + 11; u = i + 4; o = n + 13; f = k + 20; v = o + 11; r = m + 13; x = n + 20; s = e + 11; m = g + 13. If n = 2, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"a": "h + 6", "g": "a + 4", "f": "g + 15", "r": "f + 5", "w": "r + 14", "q": "w + 19", "o": "h + 14", "y": "o + 7", "v": "y + 17", "t": "v + 19", "u": "t + 13", "d": "u + 7", "h": 6}, "premises": {"h": 6}, "target": "q"}, "answer": {"steps": [["w", "r + 14", "r + 33"], ["r", "f + 5", "f + 38"], ["f", "g + 15", "g + 53"], ["g", "a + 4", "a + 57"], ["a", "h + 6", "h + 63"], ["h", 6, "69"]], "target_var_name": "q", "target_value": 69, "value_dict": {"h": 6}, "is_reverse": true}} | 10,947 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = 6; r = f + 5; u = t + 13; f = g + 15; y = o + 7; g = a + 4; t = v + 19; w = r + 14; v = y + 17; a = h + 6; q = w + 19; o = h + 14; d = u + 7. Given that h = 6, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = r + 14 to q, which gives q = r + 33.\n2. Substitute r = f + 5 to q, which gives q = f + 38.\n3. Substitute f = g + 15 to q, which gives q = g + 53.\n4. Substitute g = a + 4 to q, which gives q = a + 57.\n5. Substitute a = h + 6 to q, which gives q = h + 63.\n6. Substitute h = 6 to q, which gives q = 69.\n\nThus, the final answer is q = \\boxed{69}.",
"index": 10947,
"question": "Suppose a collection of variables is related by the following definitions: h = 6; r = f + 5; u = t + 13; f = g + 15; y = o + 7; g = a + 4; t = v + 19; w = r + 14; v = y + 17; a = h + 6; q = w + 19; o = h + 14; d = u + 7. Given that h = 6, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"v": "x + 6", "s": "v + 17", "b": "s + 15", "e": "b + 8", "q": "e + 2", "m": "q + 9", "r": "x + 5", "n": "r + 1", "y": "n + 11", "a": "y + 10", "w": "a + 19", "t": "w + 13", "x": 11}, "premises": {"x": 11}, "target": "m"}, "answer": {"steps": [["q", "e + 2", "e + 11"], ["e", "b + 8", "b + 19"], ["b", "s + 15", "s + 34"], ["s", "v + 17", "v + 51"], ["v", "x + 6", "x + 57"], ["x", 11, "68"]], "target_var_name": "m", "target_value": 68, "value_dict": {"x": 11}, "is_reverse": true}} | 10,948 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = x + 5; q = e + 2; x = 11; n = r + 1; a = y + 10; y = n + 11; m = q + 9; w = a + 19; s = v + 17; e = b + 8; t = w + 13; v = x + 6; b = s + 15. Given that x = 11, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = e + 2 to m, which gives m = e + 11.\n2. Substitute e = b + 8 to m, which gives m = b + 19.\n3. Substitute b = s + 15 to m, which gives m = s + 34.\n4. Substitute s = v + 17 to m, which gives m = v + 51.\n5. Substitute v = x + 6 to m, which gives m = x + 57.\n6. Substitute x = 11 to m, which gives m = 68.\n\nThus, the final answer is m = \\boxed{68}.",
"index": 10948,
"question": "Suppose a collection of variables is related by the following definitions: r = x + 5; q = e + 2; x = 11; n = r + 1; a = y + 10; y = n + 11; m = q + 9; w = a + 19; s = v + 17; e = b + 8; t = w + 13; v = x + 6; b = s + 15. Given that x = 11, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"o": "n + 8", "w": "o + 4", "q": "w + 9", "j": "q + 7", "p": "j + 7", "i": "p + 11", "x": "n + 14", "t": "x + 4", "m": "t + 9", "s": "m + 8", "a": "s + 7", "v": "a + 7", "n": 20}, "premises": {"n": 20}, "target": "i"}, "answer": {"steps": [["p", "j + 7", "j + 18"], ["j", "q + 7", "q + 25"], ["q", "w + 9", "w + 34"], ["w", "o + 4", "o + 38"], ["o", "n + 8", "n + 46"], ["n", 20, "66"]], "target_var_name": "i", "target_value": 66, "value_dict": {"n": 20}, "is_reverse": true}} | 10,949 | 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 = 20; w = o + 4; t = x + 4; o = n + 8; q = w + 9; a = s + 7; x = n + 14; i = p + 11; s = m + 8; v = a + 7; m = t + 9; j = q + 7; p = j + 7. If n = 20, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = j + 7 to i, which gives i = j + 18.\n2. Substitute j = q + 7 to i, which gives i = q + 25.\n3. Substitute q = w + 9 to i, which gives i = w + 34.\n4. Substitute w = o + 4 to i, which gives i = o + 38.\n5. Substitute o = n + 8 to i, which gives i = n + 46.\n6. Substitute n = 20 to i, which gives i = 66.\n\nThus, the final answer is i = \\boxed{66}.",
"index": 10949,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = 20; w = o + 4; t = x + 4; o = n + 8; q = w + 9; a = s + 7; x = n + 14; i = p + 11; s = m + 8; v = a + 7; m = t + 9; j = q + 7; p = j + 7. If n = 20, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"u": "c + 13", "b": "u + 12", "n": "b + 8", "x": "n + 20", "w": "x + 4", "m": "w + 15", "s": "c + 13", "q": "s + 7", "t": "q + 3", "p": "t + 16", "z": "p + 5", "d": "z + 13", "c": 6}, "premises": {"c": 6}, "target": "m"}, "answer": {"steps": [["w", "x + 4", "x + 19"], ["x", "n + 20", "n + 39"], ["n", "b + 8", "b + 47"], ["b", "u + 12", "u + 59"], ["u", "c + 13", "c + 72"], ["c", 6, "78"]], "target_var_name": "m", "target_value": 78, "value_dict": {"c": 6}, "is_reverse": true}} | 10,950 | 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 = b + 8; m = w + 15; t = q + 3; q = s + 7; s = c + 13; d = z + 13; z = p + 5; w = x + 4; p = t + 16; x = n + 20; u = c + 13; b = u + 12; c = 6. If c = 6, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = x + 4 to m, which gives m = x + 19.\n2. Substitute x = n + 20 to m, which gives m = n + 39.\n3. Substitute n = b + 8 to m, which gives m = b + 47.\n4. Substitute b = u + 12 to m, which gives m = u + 59.\n5. Substitute u = c + 13 to m, which gives m = c + 72.\n6. Substitute c = 6 to m, which gives m = 78.\n\nThus, the final answer is m = \\boxed{78}.",
"index": 10950,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = b + 8; m = w + 15; t = q + 3; q = s + 7; s = c + 13; d = z + 13; z = p + 5; w = x + 4; p = t + 16; x = n + 20; u = c + 13; b = u + 12; c = 6. If c = 6, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"a": "z + 5", "e": "a + 1", "k": "e + 5", "w": "k + 18", "g": "w + 10", "v": "g + 14", "j": "z + 4", "l": "j + 3", "s": "l + 16", "t": "s + 12", "p": "t + 10", "f": "p + 3", "z": 11}, "premises": {"z": 11}, "target": "v"}, "answer": {"steps": [["g", "w + 10", "w + 24"], ["w", "k + 18", "k + 42"], ["k", "e + 5", "e + 47"], ["e", "a + 1", "a + 48"], ["a", "z + 5", "z + 53"], ["z", 11, "64"]], "target_var_name": "v", "target_value": 64, "value_dict": {"z": 11}, "is_reverse": true}} | 10,951 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = s + 12; l = j + 3; f = p + 3; z = 11; j = z + 4; e = a + 1; w = k + 18; s = l + 16; k = e + 5; g = w + 10; v = g + 14; p = t + 10; a = z + 5. If z = 11, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = w + 10 to v, which gives v = w + 24.\n2. Substitute w = k + 18 to v, which gives v = k + 42.\n3. Substitute k = e + 5 to v, which gives v = e + 47.\n4. Substitute e = a + 1 to v, which gives v = a + 48.\n5. Substitute a = z + 5 to v, which gives v = z + 53.\n6. Substitute z = 11 to v, which gives v = 64.\n\nThus, the final answer is v = \\boxed{64}.",
"index": 10951,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = s + 12; l = j + 3; f = p + 3; z = 11; j = z + 4; e = a + 1; w = k + 18; s = l + 16; k = e + 5; g = w + 10; v = g + 14; p = t + 10; a = z + 5. If z = 11, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"c": "z + 6", "w": "c + 19", "f": "w + 7", "r": "f + 5", "n": "r + 12", "g": "n + 17", "m": "z + 6", "p": "m + 20", "q": "p + 14", "h": "q + 20", "i": "h + 14", "l": "i + 18", "z": 13}, "premises": {"z": 13}, "target": "g"}, "answer": {"steps": [["n", "r + 12", "r + 29"], ["r", "f + 5", "f + 34"], ["f", "w + 7", "w + 41"], ["w", "c + 19", "c + 60"], ["c", "z + 6", "z + 66"], ["z", 13, "79"]], "target_var_name": "g", "target_value": 79, "value_dict": {"z": 13}, "is_reverse": true}} | 10,952 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = 13; c = z + 6; m = z + 6; h = q + 20; l = i + 18; n = r + 12; p = m + 20; r = f + 5; i = h + 14; g = n + 17; f = w + 7; q = p + 14; w = c + 19. Given that z = 13, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = r + 12 to g, which gives g = r + 29.\n2. Substitute r = f + 5 to g, which gives g = f + 34.\n3. Substitute f = w + 7 to g, which gives g = w + 41.\n4. Substitute w = c + 19 to g, which gives g = c + 60.\n5. Substitute c = z + 6 to g, which gives g = z + 66.\n6. Substitute z = 13 to g, which gives g = 79.\n\nThus, the final answer is g = \\boxed{79}.",
"index": 10952,
"question": "Suppose a collection of variables is related by the following definitions: z = 13; c = z + 6; m = z + 6; h = q + 20; l = i + 18; n = r + 12; p = m + 20; r = f + 5; i = h + 14; g = n + 17; f = w + 7; q = p + 14; w = c + 19. Given that z = 13, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"w": "g + 14", "x": "w + 8", "a": "x + 5", "v": "a + 13", "b": "v + 19", "c": "b + 19", "z": "g + 9", "l": "z + 7", "k": "l + 17", "d": "k + 9", "m": "d + 4", "i": "m + 13", "g": 8}, "premises": {"g": 8}, "target": "c"}, "answer": {"steps": [["b", "v + 19", "v + 38"], ["v", "a + 13", "a + 51"], ["a", "x + 5", "x + 56"], ["x", "w + 8", "w + 64"], ["w", "g + 14", "g + 78"], ["g", 8, "86"]], "target_var_name": "c", "target_value": 86, "value_dict": {"g": 8}, "is_reverse": true}} | 10,953 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = m + 13; c = b + 19; b = v + 19; k = l + 17; a = x + 5; m = d + 4; z = g + 9; w = g + 14; v = a + 13; g = 8; x = w + 8; d = k + 9; l = z + 7. Given that g = 8, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = v + 19 to c, which gives c = v + 38.\n2. Substitute v = a + 13 to c, which gives c = a + 51.\n3. Substitute a = x + 5 to c, which gives c = x + 56.\n4. Substitute x = w + 8 to c, which gives c = w + 64.\n5. Substitute w = g + 14 to c, which gives c = g + 78.\n6. Substitute g = 8 to c, which gives c = 86.\n\nThus, the final answer is c = \\boxed{86}.",
"index": 10953,
"question": "Suppose a collection of variables is related by the following definitions: i = m + 13; c = b + 19; b = v + 19; k = l + 17; a = x + 5; m = d + 4; z = g + 9; w = g + 14; v = a + 13; g = 8; x = w + 8; d = k + 9; l = z + 7. Given that g = 8, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"t": "f + 9", "g": "t + 5", "k": "g + 9", "v": "k + 12", "n": "v + 10", "o": "n + 18", "d": "f + 14", "m": "d + 18", "e": "m + 13", "j": "e + 8", "y": "j + 15", "l": "y + 6", "f": 15}, "premises": {"f": 15}, "target": "o"}, "answer": {"steps": [["n", "v + 10", "v + 28"], ["v", "k + 12", "k + 40"], ["k", "g + 9", "g + 49"], ["g", "t + 5", "t + 54"], ["t", "f + 9", "f + 63"], ["f", 15, "78"]], "target_var_name": "o", "target_value": 78, "value_dict": {"f": 15}, "is_reverse": true}} | 10,954 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = t + 5; l = y + 6; v = k + 12; t = f + 9; k = g + 9; o = n + 18; f = 15; m = d + 18; d = f + 14; e = m + 13; y = j + 15; n = v + 10; j = e + 8. Given that f = 15, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = v + 10 to o, which gives o = v + 28.\n2. Substitute v = k + 12 to o, which gives o = k + 40.\n3. Substitute k = g + 9 to o, which gives o = g + 49.\n4. Substitute g = t + 5 to o, which gives o = t + 54.\n5. Substitute t = f + 9 to o, which gives o = f + 63.\n6. Substitute f = 15 to o, which gives o = 78.\n\nThus, the final answer is o = \\boxed{78}.",
"index": 10954,
"question": "Suppose a collection of variables is related by the following definitions: g = t + 5; l = y + 6; v = k + 12; t = f + 9; k = g + 9; o = n + 18; f = 15; m = d + 18; d = f + 14; e = m + 13; y = j + 15; n = v + 10; j = e + 8. Given that f = 15, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"h": "p + 6", "q": "h + 5", "a": "q + 2", "c": "a + 11", "t": "c + 9", "l": "t + 20", "r": "p + 4", "o": "r + 3", "z": "o + 13", "d": "z + 2", "u": "d + 15", "m": "u + 13", "p": 6}, "premises": {"p": 6}, "target": "l"}, "answer": {"steps": [["t", "c + 9", "c + 29"], ["c", "a + 11", "a + 40"], ["a", "q + 2", "q + 42"], ["q", "h + 5", "h + 47"], ["h", "p + 6", "p + 53"], ["p", 6, "59"]], "target_var_name": "l", "target_value": 59, "value_dict": {"p": 6}, "is_reverse": true}} | 10,955 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = c + 9; p = 6; r = p + 4; z = o + 13; q = h + 5; l = t + 20; m = u + 13; u = d + 15; a = q + 2; d = z + 2; o = r + 3; h = p + 6; c = a + 11. If p = 6, what is the resulting 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 t = c + 9 to l, which gives l = c + 29.\n2. Substitute c = a + 11 to l, which gives l = a + 40.\n3. Substitute a = q + 2 to l, which gives l = q + 42.\n4. Substitute q = h + 5 to l, which gives l = h + 47.\n5. Substitute h = p + 6 to l, which gives l = p + 53.\n6. Substitute p = 6 to l, which gives l = 59.\n\nThus, the final answer is l = \\boxed{59}.",
"index": 10955,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = c + 9; p = 6; r = p + 4; z = o + 13; q = h + 5; l = t + 20; m = u + 13; u = d + 15; a = q + 2; d = z + 2; o = r + 3; h = p + 6; c = a + 11. If p = 6, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"c": "b + 1", "y": "c + 12", "p": "y + 20", "a": "p + 8", "v": "a + 18", "n": "v + 15", "u": "b + 5", "m": "u + 3", "j": "m + 20", "q": "j + 10", "s": "q + 13", "z": "s + 6", "b": 19}, "premises": {"b": 19}, "target": "n"}, "answer": {"steps": [["v", "a + 18", "a + 33"], ["a", "p + 8", "p + 41"], ["p", "y + 20", "y + 61"], ["y", "c + 12", "c + 73"], ["c", "b + 1", "b + 74"], ["b", 19, "93"]], "target_var_name": "n", "target_value": 93, "value_dict": {"b": 19}, "is_reverse": true}} | 10,956 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = 19; c = b + 1; q = j + 10; m = u + 3; z = s + 6; u = b + 5; j = m + 20; v = a + 18; s = q + 13; n = v + 15; y = c + 12; p = y + 20; a = p + 8. Given that b = 19, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = a + 18 to n, which gives n = a + 33.\n2. Substitute a = p + 8 to n, which gives n = p + 41.\n3. Substitute p = y + 20 to n, which gives n = y + 61.\n4. Substitute y = c + 12 to n, which gives n = c + 73.\n5. Substitute c = b + 1 to n, which gives n = b + 74.\n6. Substitute b = 19 to n, which gives n = 93.\n\nThus, the final answer is n = \\boxed{93}.",
"index": 10956,
"question": "Suppose a collection of variables is related by the following definitions: b = 19; c = b + 1; q = j + 10; m = u + 3; z = s + 6; u = b + 5; j = m + 20; v = a + 18; s = q + 13; n = v + 15; y = c + 12; p = y + 20; a = p + 8. Given that b = 19, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"h": "a + 16", "t": "h + 15", "p": "t + 7", "w": "p + 14", "v": "w + 12", "j": "v + 17", "r": "a + 16", "y": "r + 7", "x": "y + 5", "g": "x + 3", "e": "g + 7", "n": "e + 2", "a": 7}, "premises": {"a": 7}, "target": "j"}, "answer": {"steps": [["v", "w + 12", "w + 29"], ["w", "p + 14", "p + 43"], ["p", "t + 7", "t + 50"], ["t", "h + 15", "h + 65"], ["h", "a + 16", "a + 81"], ["a", 7, "88"]], "target_var_name": "j", "target_value": 88, "value_dict": {"a": 7}, "is_reverse": true}} | 10,957 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = y + 5; t = h + 15; j = v + 17; a = 7; y = r + 7; r = a + 16; v = w + 12; e = g + 7; n = e + 2; p = t + 7; h = a + 16; w = p + 14; g = x + 3. Given that a = 7, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = w + 12 to j, which gives j = w + 29.\n2. Substitute w = p + 14 to j, which gives j = p + 43.\n3. Substitute p = t + 7 to j, which gives j = t + 50.\n4. Substitute t = h + 15 to j, which gives j = h + 65.\n5. Substitute h = a + 16 to j, which gives j = a + 81.\n6. Substitute a = 7 to j, which gives j = 88.\n\nThus, the final answer is j = \\boxed{88}.",
"index": 10957,
"question": "Suppose a collection of variables is related by the following definitions: x = y + 5; t = h + 15; j = v + 17; a = 7; y = r + 7; r = a + 16; v = w + 12; e = g + 7; n = e + 2; p = t + 7; h = a + 16; w = p + 14; g = x + 3. Given that a = 7, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"z": "y + 20", "b": "z + 12", "m": "b + 5", "f": "m + 10", "x": "f + 8", "g": "x + 17", "n": "y + 9", "l": "n + 14", "t": "l + 17", "v": "t + 19", "e": "v + 16", "s": "e + 12", "y": 5}, "premises": {"y": 5}, "target": "g"}, "answer": {"steps": [["x", "f + 8", "f + 25"], ["f", "m + 10", "m + 35"], ["m", "b + 5", "b + 40"], ["b", "z + 12", "z + 52"], ["z", "y + 20", "y + 72"], ["y", 5, "77"]], "target_var_name": "g", "target_value": 77, "value_dict": {"y": 5}, "is_reverse": true}} | 10,958 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = m + 10; m = b + 5; z = y + 20; n = y + 9; g = x + 17; x = f + 8; y = 5; v = t + 19; s = e + 12; t = l + 17; e = v + 16; b = z + 12; l = n + 14. If y = 5, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = f + 8 to g, which gives g = f + 25.\n2. Substitute f = m + 10 to g, which gives g = m + 35.\n3. Substitute m = b + 5 to g, which gives g = b + 40.\n4. Substitute b = z + 12 to g, which gives g = z + 52.\n5. Substitute z = y + 20 to g, which gives g = y + 72.\n6. Substitute y = 5 to g, which gives g = 77.\n\nThus, the final answer is g = \\boxed{77}.",
"index": 10958,
"question": "Consider a system of variables where each variable is defined as follows: f = m + 10; m = b + 5; z = y + 20; n = y + 9; g = x + 17; x = f + 8; y = 5; v = t + 19; s = e + 12; t = l + 17; e = v + 16; b = z + 12; l = n + 14. If y = 5, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"i": "b + 10", "g": "i + 6", "u": "g + 12", "w": "u + 11", "h": "w + 8", "x": "h + 3", "m": "b + 11", "j": "m + 13", "f": "j + 8", "n": "f + 6", "d": "n + 12", "o": "d + 4", "b": 4}, "premises": {"b": 4}, "target": "x"}, "answer": {"steps": [["h", "w + 8", "w + 11"], ["w", "u + 11", "u + 22"], ["u", "g + 12", "g + 34"], ["g", "i + 6", "i + 40"], ["i", "b + 10", "b + 50"], ["b", 4, "54"]], "target_var_name": "x", "target_value": 54, "value_dict": {"b": 4}, "is_reverse": true}} | 10,959 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = h + 3; d = n + 12; g = i + 6; j = m + 13; b = 4; h = w + 8; f = j + 8; n = f + 6; u = g + 12; o = d + 4; m = b + 11; w = u + 11; i = b + 10. Given that b = 4, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = w + 8 to x, which gives x = w + 11.\n2. Substitute w = u + 11 to x, which gives x = u + 22.\n3. Substitute u = g + 12 to x, which gives x = g + 34.\n4. Substitute g = i + 6 to x, which gives x = i + 40.\n5. Substitute i = b + 10 to x, which gives x = b + 50.\n6. Substitute b = 4 to x, which gives x = 54.\n\nThus, the final answer is x = \\boxed{54}.",
"index": 10959,
"question": "Suppose a collection of variables is related by the following definitions: x = h + 3; d = n + 12; g = i + 6; j = m + 13; b = 4; h = w + 8; f = j + 8; n = f + 6; u = g + 12; o = d + 4; m = b + 11; w = u + 11; i = b + 10. Given that b = 4, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"s": "k + 20", "z": "s + 15", "x": "z + 14", "l": "x + 16", "a": "l + 19", "y": "a + 19", "u": "k + 20", "r": "u + 11", "i": "r + 19", "c": "i + 2", "p": "c + 4", "b": "p + 14", "k": 5}, "premises": {"k": 5}, "target": "y"}, "answer": {"steps": [["a", "l + 19", "l + 38"], ["l", "x + 16", "x + 54"], ["x", "z + 14", "z + 68"], ["z", "s + 15", "s + 83"], ["s", "k + 20", "k + 103"], ["k", 5, "108"]], "target_var_name": "y", "target_value": 108, "value_dict": {"k": 5}, "is_reverse": true}} | 10,960 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = x + 16; b = p + 14; p = c + 4; k = 5; c = i + 2; u = k + 20; z = s + 15; i = r + 19; r = u + 11; x = z + 14; s = k + 20; a = l + 19; y = a + 19. If k = 5, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 108,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = l + 19 to y, which gives y = l + 38.\n2. Substitute l = x + 16 to y, which gives y = x + 54.\n3. Substitute x = z + 14 to y, which gives y = z + 68.\n4. Substitute z = s + 15 to y, which gives y = s + 83.\n5. Substitute s = k + 20 to y, which gives y = k + 103.\n6. Substitute k = 5 to y, which gives y = 108.\n\nThus, the final answer is y = \\boxed{108}.",
"index": 10960,
"question": "Consider a system of variables where each variable is defined as follows: l = x + 16; b = p + 14; p = c + 4; k = 5; c = i + 2; u = k + 20; z = s + 15; i = r + 19; r = u + 11; x = z + 14; s = k + 20; a = l + 19; y = a + 19. If k = 5, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"p": "l + 11", "o": "p + 12", "z": "o + 9", "b": "z + 15", "a": "b + 11", "j": "a + 16", "q": "l + 5", "w": "q + 4", "m": "w + 6", "s": "m + 4", "v": "s + 10", "h": "v + 2", "l": 16}, "premises": {"l": 16}, "target": "j"}, "answer": {"steps": [["a", "b + 11", "b + 27"], ["b", "z + 15", "z + 42"], ["z", "o + 9", "o + 51"], ["o", "p + 12", "p + 63"], ["p", "l + 11", "l + 74"], ["l", 16, "90"]], "target_var_name": "j", "target_value": 90, "value_dict": {"l": 16}, "is_reverse": true}} | 10,961 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = q + 4; q = l + 5; h = v + 2; p = l + 11; s = m + 4; a = b + 11; m = w + 6; z = o + 9; j = a + 16; b = z + 15; o = p + 12; v = s + 10; l = 16. If l = 16, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = b + 11 to j, which gives j = b + 27.\n2. Substitute b = z + 15 to j, which gives j = z + 42.\n3. Substitute z = o + 9 to j, which gives j = o + 51.\n4. Substitute o = p + 12 to j, which gives j = p + 63.\n5. Substitute p = l + 11 to j, which gives j = l + 74.\n6. Substitute l = 16 to j, which gives j = 90.\n\nThus, the final answer is j = \\boxed{90}.",
"index": 10961,
"question": "Consider a system of variables where each variable is defined as follows: w = q + 4; q = l + 5; h = v + 2; p = l + 11; s = m + 4; a = b + 11; m = w + 6; z = o + 9; j = a + 16; b = z + 15; o = p + 12; v = s + 10; l = 16. If l = 16, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"d": "o + 14", "a": "d + 15", "s": "a + 7", "j": "s + 3", "l": "j + 3", "v": "l + 15", "m": "o + 18", "b": "m + 16", "y": "b + 8", "x": "y + 10", "c": "x + 1", "i": "c + 14", "o": 13}, "premises": {"o": 13}, "target": "v"}, "answer": {"steps": [["l", "j + 3", "j + 18"], ["j", "s + 3", "s + 21"], ["s", "a + 7", "a + 28"], ["a", "d + 15", "d + 43"], ["d", "o + 14", "o + 57"], ["o", 13, "70"]], "target_var_name": "v", "target_value": 70, "value_dict": {"o": 13}, "is_reverse": true}} | 10,962 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = c + 14; y = b + 8; x = y + 10; c = x + 1; j = s + 3; v = l + 15; d = o + 14; b = m + 16; l = j + 3; s = a + 7; o = 13; a = d + 15; m = o + 18. Given that o = 13, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = j + 3 to v, which gives v = j + 18.\n2. Substitute j = s + 3 to v, which gives v = s + 21.\n3. Substitute s = a + 7 to v, which gives v = a + 28.\n4. Substitute a = d + 15 to v, which gives v = d + 43.\n5. Substitute d = o + 14 to v, which gives v = o + 57.\n6. Substitute o = 13 to v, which gives v = 70.\n\nThus, the final answer is v = \\boxed{70}.",
"index": 10962,
"question": "Suppose a collection of variables is related by the following definitions: i = c + 14; y = b + 8; x = y + 10; c = x + 1; j = s + 3; v = l + 15; d = o + 14; b = m + 16; l = j + 3; s = a + 7; o = 13; a = d + 15; m = o + 18. Given that o = 13, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"s": "a + 20", "x": "s + 5", "n": "x + 18", "q": "n + 8", "w": "q + 9", "z": "w + 7", "m": "a + 2", "t": "m + 10", "j": "t + 6", "u": "j + 8", "y": "u + 13", "b": "y + 6", "a": 18}, "premises": {"a": 18}, "target": "z"}, "answer": {"steps": [["w", "q + 9", "q + 16"], ["q", "n + 8", "n + 24"], ["n", "x + 18", "x + 42"], ["x", "s + 5", "s + 47"], ["s", "a + 20", "a + 67"], ["a", 18, "85"]], "target_var_name": "z", "target_value": 85, "value_dict": {"a": 18}, "is_reverse": true}} | 10,963 | 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 = x + 18; q = n + 8; a = 18; m = a + 2; x = s + 5; y = u + 13; t = m + 10; s = a + 20; u = j + 8; z = w + 7; w = q + 9; j = t + 6; b = y + 6. If a = 18, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = q + 9 to z, which gives z = q + 16.\n2. Substitute q = n + 8 to z, which gives z = n + 24.\n3. Substitute n = x + 18 to z, which gives z = x + 42.\n4. Substitute x = s + 5 to z, which gives z = s + 47.\n5. Substitute s = a + 20 to z, which gives z = a + 67.\n6. Substitute a = 18 to z, which gives z = 85.\n\nThus, the final answer is z = \\boxed{85}.",
"index": 10963,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = x + 18; q = n + 8; a = 18; m = a + 2; x = s + 5; y = u + 13; t = m + 10; s = a + 20; u = j + 8; z = w + 7; w = q + 9; j = t + 6; b = y + 6. If a = 18, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"d": "z + 17", "t": "d + 9", "g": "t + 7", "i": "g + 8", "c": "i + 11", "e": "c + 17", "x": "z + 19", "o": "x + 1", "u": "o + 16", "w": "u + 14", "q": "w + 17", "k": "q + 2", "z": 18}, "premises": {"z": 18}, "target": "e"}, "answer": {"steps": [["c", "i + 11", "i + 28"], ["i", "g + 8", "g + 36"], ["g", "t + 7", "t + 43"], ["t", "d + 9", "d + 52"], ["d", "z + 17", "z + 69"], ["z", 18, "87"]], "target_var_name": "e", "target_value": 87, "value_dict": {"z": 18}, "is_reverse": true}} | 10,964 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = z + 19; i = g + 8; o = x + 1; w = u + 14; g = t + 7; u = o + 16; t = d + 9; e = c + 17; z = 18; q = w + 17; d = z + 17; c = i + 11; k = q + 2. If z = 18, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = i + 11 to e, which gives e = i + 28.\n2. Substitute i = g + 8 to e, which gives e = g + 36.\n3. Substitute g = t + 7 to e, which gives e = t + 43.\n4. Substitute t = d + 9 to e, which gives e = d + 52.\n5. Substitute d = z + 17 to e, which gives e = z + 69.\n6. Substitute z = 18 to e, which gives e = 87.\n\nThus, the final answer is e = \\boxed{87}.",
"index": 10964,
"question": "Consider a system of variables where each variable is defined as follows: x = z + 19; i = g + 8; o = x + 1; w = u + 14; g = t + 7; u = o + 16; t = d + 9; e = c + 17; z = 18; q = w + 17; d = z + 17; c = i + 11; k = q + 2. If z = 18, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"k": "e + 20", "c": "k + 5", "h": "c + 1", "p": "h + 6", "f": "p + 10", "w": "f + 8", "n": "e + 13", "v": "n + 4", "d": "v + 8", "r": "d + 14", "l": "r + 5", "q": "l + 15", "e": 11}, "premises": {"e": 11}, "target": "w"}, "answer": {"steps": [["f", "p + 10", "p + 18"], ["p", "h + 6", "h + 24"], ["h", "c + 1", "c + 25"], ["c", "k + 5", "k + 30"], ["k", "e + 20", "e + 50"], ["e", 11, "61"]], "target_var_name": "w", "target_value": 61, "value_dict": {"e": 11}, "is_reverse": true}} | 10,965 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = c + 1; d = v + 8; n = e + 13; f = p + 10; p = h + 6; w = f + 8; e = 11; v = n + 4; l = r + 5; c = k + 5; k = e + 20; r = d + 14; q = l + 15. Given that e = 11, 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 f = p + 10 to w, which gives w = p + 18.\n2. Substitute p = h + 6 to w, which gives w = h + 24.\n3. Substitute h = c + 1 to w, which gives w = c + 25.\n4. Substitute c = k + 5 to w, which gives w = k + 30.\n5. Substitute k = e + 20 to w, which gives w = e + 50.\n6. Substitute e = 11 to w, which gives w = 61.\n\nThus, the final answer is w = \\boxed{61}.",
"index": 10965,
"question": "Suppose a collection of variables is related by the following definitions: h = c + 1; d = v + 8; n = e + 13; f = p + 10; p = h + 6; w = f + 8; e = 11; v = n + 4; l = r + 5; c = k + 5; k = e + 20; r = d + 14; q = l + 15. Given that e = 11, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"r": "k + 6", "v": "r + 7", "f": "v + 17", "w": "f + 9", "y": "w + 11", "g": "y + 8", "j": "k + 12", "p": "j + 4", "e": "p + 10", "b": "e + 7", "o": "b + 20", "c": "o + 19", "k": 17}, "premises": {"k": 17}, "target": "g"}, "answer": {"steps": [["y", "w + 11", "w + 19"], ["w", "f + 9", "f + 28"], ["f", "v + 17", "v + 45"], ["v", "r + 7", "r + 52"], ["r", "k + 6", "k + 58"], ["k", 17, "75"]], "target_var_name": "g", "target_value": 75, "value_dict": {"k": 17}, "is_reverse": true}} | 10,966 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = k + 6; j = k + 12; w = f + 9; o = b + 20; v = r + 7; f = v + 17; g = y + 8; p = j + 4; e = p + 10; c = o + 19; k = 17; b = e + 7; y = w + 11. If k = 17, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = w + 11 to g, which gives g = w + 19.\n2. Substitute w = f + 9 to g, which gives g = f + 28.\n3. Substitute f = v + 17 to g, which gives g = v + 45.\n4. Substitute v = r + 7 to g, which gives g = r + 52.\n5. Substitute r = k + 6 to g, which gives g = k + 58.\n6. Substitute k = 17 to g, which gives g = 75.\n\nThus, the final answer is g = \\boxed{75}.",
"index": 10966,
"question": "Consider a system of variables where each variable is defined as follows: r = k + 6; j = k + 12; w = f + 9; o = b + 20; v = r + 7; f = v + 17; g = y + 8; p = j + 4; e = p + 10; c = o + 19; k = 17; b = e + 7; y = w + 11. If k = 17, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"d": "n + 1", "t": "d + 2", "v": "t + 16", "a": "v + 2", "e": "a + 14", "r": "e + 10", "z": "n + 4", "o": "z + 12", "y": "o + 1", "p": "y + 7", "w": "p + 5", "m": "w + 5", "n": 3}, "premises": {"n": 3}, "target": "r"}, "answer": {"steps": [["e", "a + 14", "a + 24"], ["a", "v + 2", "v + 26"], ["v", "t + 16", "t + 42"], ["t", "d + 2", "d + 44"], ["d", "n + 1", "n + 45"], ["n", 3, "48"]], "target_var_name": "r", "target_value": 48, "value_dict": {"n": 3}, "is_reverse": true}} | 10,967 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = d + 2; w = p + 5; a = v + 2; m = w + 5; y = o + 1; r = e + 10; z = n + 4; e = a + 14; d = n + 1; n = 3; p = y + 7; o = z + 12; v = t + 16. Given that n = 3, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = a + 14 to r, which gives r = a + 24.\n2. Substitute a = v + 2 to r, which gives r = v + 26.\n3. Substitute v = t + 16 to r, which gives r = t + 42.\n4. Substitute t = d + 2 to r, which gives r = d + 44.\n5. Substitute d = n + 1 to r, which gives r = n + 45.\n6. Substitute n = 3 to r, which gives r = 48.\n\nThus, the final answer is r = \\boxed{48}.",
"index": 10967,
"question": "Suppose a collection of variables is related by the following definitions: t = d + 2; w = p + 5; a = v + 2; m = w + 5; y = o + 1; r = e + 10; z = n + 4; e = a + 14; d = n + 1; n = 3; p = y + 7; o = z + 12; v = t + 16. Given that n = 3, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"a": "h + 20", "o": "a + 14", "u": "o + 11", "d": "u + 3", "m": "d + 5", "z": "m + 12", "e": "h + 20", "c": "e + 18", "t": "c + 9", "g": "t + 6", "k": "g + 13", "f": "k + 13", "h": 3}, "premises": {"h": 3}, "target": "z"}, "answer": {"steps": [["m", "d + 5", "d + 17"], ["d", "u + 3", "u + 20"], ["u", "o + 11", "o + 31"], ["o", "a + 14", "a + 45"], ["a", "h + 20", "h + 65"], ["h", 3, "68"]], "target_var_name": "z", "target_value": 68, "value_dict": {"h": 3}, "is_reverse": true}} | 10,968 | 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 = m + 12; f = k + 13; h = 3; g = t + 6; t = c + 9; d = u + 3; c = e + 18; m = d + 5; u = o + 11; e = h + 20; k = g + 13; o = a + 14; a = h + 20. If h = 3, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = d + 5 to z, which gives z = d + 17.\n2. Substitute d = u + 3 to z, which gives z = u + 20.\n3. Substitute u = o + 11 to z, which gives z = o + 31.\n4. Substitute o = a + 14 to z, which gives z = a + 45.\n5. Substitute a = h + 20 to z, which gives z = h + 65.\n6. Substitute h = 3 to z, which gives z = 68.\n\nThus, the final answer is z = \\boxed{68}.",
"index": 10968,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = m + 12; f = k + 13; h = 3; g = t + 6; t = c + 9; d = u + 3; c = e + 18; m = d + 5; u = o + 11; e = h + 20; k = g + 13; o = a + 14; a = h + 20. If h = 3, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"s": "z + 5", "k": "s + 3", "t": "k + 5", "l": "t + 17", "h": "l + 18", "x": "h + 10", "w": "z + 18", "j": "w + 18", "e": "j + 20", "g": "e + 7", "r": "g + 4", "n": "r + 15", "z": 5}, "premises": {"z": 5}, "target": "x"}, "answer": {"steps": [["h", "l + 18", "l + 28"], ["l", "t + 17", "t + 45"], ["t", "k + 5", "k + 50"], ["k", "s + 3", "s + 53"], ["s", "z + 5", "z + 58"], ["z", 5, "63"]], "target_var_name": "x", "target_value": 63, "value_dict": {"z": 5}, "is_reverse": true}} | 10,969 | 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 = t + 17; r = g + 4; s = z + 5; e = j + 20; n = r + 15; x = h + 10; j = w + 18; w = z + 18; k = s + 3; g = e + 7; t = k + 5; z = 5; h = l + 18. If z = 5, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = l + 18 to x, which gives x = l + 28.\n2. Substitute l = t + 17 to x, which gives x = t + 45.\n3. Substitute t = k + 5 to x, which gives x = k + 50.\n4. Substitute k = s + 3 to x, which gives x = s + 53.\n5. Substitute s = z + 5 to x, which gives x = z + 58.\n6. Substitute z = 5 to x, which gives x = 63.\n\nThus, the final answer is x = \\boxed{63}.",
"index": 10969,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = t + 17; r = g + 4; s = z + 5; e = j + 20; n = r + 15; x = h + 10; j = w + 18; w = z + 18; k = s + 3; g = e + 7; t = k + 5; z = 5; h = l + 18. If z = 5, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"t": "y + 5", "j": "t + 10", "v": "j + 11", "h": "v + 6", "u": "h + 7", "a": "u + 6", "x": "y + 12", "c": "x + 14", "l": "c + 10", "s": "l + 12", "q": "s + 2", "m": "q + 7", "y": 2}, "premises": {"y": 2}, "target": "a"}, "answer": {"steps": [["u", "h + 7", "h + 13"], ["h", "v + 6", "v + 19"], ["v", "j + 11", "j + 30"], ["j", "t + 10", "t + 40"], ["t", "y + 5", "y + 45"], ["y", 2, "47"]], "target_var_name": "a", "target_value": 47, "value_dict": {"y": 2}, "is_reverse": true}} | 10,970 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = y + 5; s = l + 12; j = t + 10; c = x + 14; a = u + 6; y = 2; v = j + 11; u = h + 7; l = c + 10; h = v + 6; q = s + 2; m = q + 7; x = y + 12. If y = 2, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = h + 7 to a, which gives a = h + 13.\n2. Substitute h = v + 6 to a, which gives a = v + 19.\n3. Substitute v = j + 11 to a, which gives a = j + 30.\n4. Substitute j = t + 10 to a, which gives a = t + 40.\n5. Substitute t = y + 5 to a, which gives a = y + 45.\n6. Substitute y = 2 to a, which gives a = 47.\n\nThus, the final answer is a = \\boxed{47}.",
"index": 10970,
"question": "Consider a system of variables where each variable is defined as follows: t = y + 5; s = l + 12; j = t + 10; c = x + 14; a = u + 6; y = 2; v = j + 11; u = h + 7; l = c + 10; h = v + 6; q = s + 2; m = q + 7; x = y + 12. If y = 2, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"f": "w + 14", "c": "f + 1", "z": "c + 11", "l": "z + 9", "h": "l + 11", "v": "h + 6", "a": "w + 3", "n": "a + 18", "d": "n + 3", "j": "d + 1", "t": "j + 12", "b": "t + 17", "w": 13}, "premises": {"w": 13}, "target": "v"}, "answer": {"steps": [["h", "l + 11", "l + 17"], ["l", "z + 9", "z + 26"], ["z", "c + 11", "c + 37"], ["c", "f + 1", "f + 38"], ["f", "w + 14", "w + 52"], ["w", 13, "65"]], "target_var_name": "v", "target_value": 65, "value_dict": {"w": 13}, "is_reverse": true}} | 10,971 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = 13; j = d + 1; f = w + 14; v = h + 6; z = c + 11; d = n + 3; c = f + 1; l = z + 9; a = w + 3; n = a + 18; h = l + 11; b = t + 17; t = j + 12. If w = 13, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = l + 11 to v, which gives v = l + 17.\n2. Substitute l = z + 9 to v, which gives v = z + 26.\n3. Substitute z = c + 11 to v, which gives v = c + 37.\n4. Substitute c = f + 1 to v, which gives v = f + 38.\n5. Substitute f = w + 14 to v, which gives v = w + 52.\n6. Substitute w = 13 to v, which gives v = 65.\n\nThus, the final answer is v = \\boxed{65}.",
"index": 10971,
"question": "Consider a system of variables where each variable is defined as follows: w = 13; j = d + 1; f = w + 14; v = h + 6; z = c + 11; d = n + 3; c = f + 1; l = z + 9; a = w + 3; n = a + 18; h = l + 11; b = t + 17; t = j + 12. If w = 13, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"m": "d + 4", "y": "m + 14", "v": "y + 15", "p": "v + 8", "k": "p + 16", "w": "k + 13", "i": "d + 18", "o": "i + 7", "g": "o + 13", "r": "g + 13", "f": "r + 7", "h": "f + 1", "d": 15}, "premises": {"d": 15}, "target": "w"}, "answer": {"steps": [["k", "p + 16", "p + 29"], ["p", "v + 8", "v + 37"], ["v", "y + 15", "y + 52"], ["y", "m + 14", "m + 66"], ["m", "d + 4", "d + 70"], ["d", 15, "85"]], "target_var_name": "w", "target_value": 85, "value_dict": {"d": 15}, "is_reverse": true}} | 10,972 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = m + 14; m = d + 4; p = v + 8; r = g + 13; k = p + 16; w = k + 13; i = d + 18; h = f + 1; d = 15; f = r + 7; v = y + 15; o = i + 7; g = o + 13. If d = 15, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = p + 16 to w, which gives w = p + 29.\n2. Substitute p = v + 8 to w, which gives w = v + 37.\n3. Substitute v = y + 15 to w, which gives w = y + 52.\n4. Substitute y = m + 14 to w, which gives w = m + 66.\n5. Substitute m = d + 4 to w, which gives w = d + 70.\n6. Substitute d = 15 to w, which gives w = 85.\n\nThus, the final answer is w = \\boxed{85}.",
"index": 10972,
"question": "Consider a system of variables where each variable is defined as follows: y = m + 14; m = d + 4; p = v + 8; r = g + 13; k = p + 16; w = k + 13; i = d + 18; h = f + 1; d = 15; f = r + 7; v = y + 15; o = i + 7; g = o + 13. If d = 15, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"y": "l + 7", "a": "y + 19", "i": "a + 13", "j": "i + 3", "b": "j + 4", "t": "b + 4", "x": "l + 10", "s": "x + 17", "c": "s + 1", "r": "c + 13", "m": "r + 4", "d": "m + 5", "l": 14}, "premises": {"l": 14}, "target": "t"}, "answer": {"steps": [["b", "j + 4", "j + 8"], ["j", "i + 3", "i + 11"], ["i", "a + 13", "a + 24"], ["a", "y + 19", "y + 43"], ["y", "l + 7", "l + 50"], ["l", 14, "64"]], "target_var_name": "t", "target_value": 64, "value_dict": {"l": 14}, "is_reverse": true}} | 10,973 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = j + 4; y = l + 7; d = m + 5; s = x + 17; a = y + 19; l = 14; x = l + 10; m = r + 4; c = s + 1; i = a + 13; t = b + 4; r = c + 13; j = i + 3. If l = 14, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = j + 4 to t, which gives t = j + 8.\n2. Substitute j = i + 3 to t, which gives t = i + 11.\n3. Substitute i = a + 13 to t, which gives t = a + 24.\n4. Substitute a = y + 19 to t, which gives t = y + 43.\n5. Substitute y = l + 7 to t, which gives t = l + 50.\n6. Substitute l = 14 to t, which gives t = 64.\n\nThus, the final answer is t = \\boxed{64}.",
"index": 10973,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = j + 4; y = l + 7; d = m + 5; s = x + 17; a = y + 19; l = 14; x = l + 10; m = r + 4; c = s + 1; i = a + 13; t = b + 4; r = c + 13; j = i + 3. If l = 14, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"r": "k + 13", "x": "r + 13", "c": "x + 3", "t": "c + 11", "h": "t + 13", "l": "h + 10", "p": "k + 4", "q": "p + 1", "a": "q + 4", "f": "a + 20", "v": "f + 4", "e": "v + 20", "k": 10}, "premises": {"k": 10}, "target": "l"}, "answer": {"steps": [["h", "t + 13", "t + 23"], ["t", "c + 11", "c + 34"], ["c", "x + 3", "x + 37"], ["x", "r + 13", "r + 50"], ["r", "k + 13", "k + 63"], ["k", 10, "73"]], "target_var_name": "l", "target_value": 73, "value_dict": {"k": 10}, "is_reverse": true}} | 10,974 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = r + 13; a = q + 4; r = k + 13; f = a + 20; e = v + 20; p = k + 4; v = f + 4; t = c + 11; l = h + 10; c = x + 3; q = p + 1; h = t + 13; k = 10. Given that k = 10, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = t + 13 to l, which gives l = t + 23.\n2. Substitute t = c + 11 to l, which gives l = c + 34.\n3. Substitute c = x + 3 to l, which gives l = x + 37.\n4. Substitute x = r + 13 to l, which gives l = r + 50.\n5. Substitute r = k + 13 to l, which gives l = k + 63.\n6. Substitute k = 10 to l, which gives l = 73.\n\nThus, the final answer is l = \\boxed{73}.",
"index": 10974,
"question": "Suppose a collection of variables is related by the following definitions: x = r + 13; a = q + 4; r = k + 13; f = a + 20; e = v + 20; p = k + 4; v = f + 4; t = c + 11; l = h + 10; c = x + 3; q = p + 1; h = t + 13; k = 10. Given that k = 10, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"t": "w + 15", "y": "t + 4", "x": "y + 4", "r": "x + 15", "o": "r + 14", "m": "o + 6", "d": "w + 1", "h": "d + 12", "k": "h + 12", "c": "k + 8", "s": "c + 12", "v": "s + 4", "w": 11}, "premises": {"w": 11}, "target": "m"}, "answer": {"steps": [["o", "r + 14", "r + 20"], ["r", "x + 15", "x + 35"], ["x", "y + 4", "y + 39"], ["y", "t + 4", "t + 43"], ["t", "w + 15", "w + 58"], ["w", 11, "69"]], "target_var_name": "m", "target_value": 69, "value_dict": {"w": 11}, "is_reverse": true}} | 10,975 | 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 = k + 8; d = w + 1; r = x + 15; o = r + 14; s = c + 12; y = t + 4; v = s + 4; k = h + 12; w = 11; t = w + 15; h = d + 12; m = o + 6; x = y + 4. If w = 11, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = r + 14 to m, which gives m = r + 20.\n2. Substitute r = x + 15 to m, which gives m = x + 35.\n3. Substitute x = y + 4 to m, which gives m = y + 39.\n4. Substitute y = t + 4 to m, which gives m = t + 43.\n5. Substitute t = w + 15 to m, which gives m = w + 58.\n6. Substitute w = 11 to m, which gives m = 69.\n\nThus, the final answer is m = \\boxed{69}.",
"index": 10975,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = k + 8; d = w + 1; r = x + 15; o = r + 14; s = c + 12; y = t + 4; v = s + 4; k = h + 12; w = 11; t = w + 15; h = d + 12; m = o + 6; x = y + 4. If w = 11, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"u": "x + 12", "y": "u + 1", "f": "y + 11", "d": "f + 1", "o": "d + 7", "j": "o + 12", "s": "x + 13", "e": "s + 4", "q": "e + 2", "z": "q + 16", "b": "z + 6", "t": "b + 16", "x": 6}, "premises": {"x": 6}, "target": "j"}, "answer": {"steps": [["o", "d + 7", "d + 19"], ["d", "f + 1", "f + 20"], ["f", "y + 11", "y + 31"], ["y", "u + 1", "u + 32"], ["u", "x + 12", "x + 44"], ["x", 6, "50"]], "target_var_name": "j", "target_value": 50, "value_dict": {"x": 6}, "is_reverse": true}} | 10,976 | 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 = 6; y = u + 1; b = z + 6; z = q + 16; q = e + 2; u = x + 12; f = y + 11; d = f + 1; o = d + 7; s = x + 13; t = b + 16; j = o + 12; e = s + 4. If x = 6, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = d + 7 to j, which gives j = d + 19.\n2. Substitute d = f + 1 to j, which gives j = f + 20.\n3. Substitute f = y + 11 to j, which gives j = y + 31.\n4. Substitute y = u + 1 to j, which gives j = u + 32.\n5. Substitute u = x + 12 to j, which gives j = x + 44.\n6. Substitute x = 6 to j, which gives j = 50.\n\nThus, the final answer is j = \\boxed{50}.",
"index": 10976,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = 6; y = u + 1; b = z + 6; z = q + 16; q = e + 2; u = x + 12; f = y + 11; d = f + 1; o = d + 7; s = x + 13; t = b + 16; j = o + 12; e = s + 4. If x = 6, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"d": "h + 18", "r": "d + 1", "q": "r + 15", "v": "q + 12", "i": "v + 18", "z": "i + 4", "e": "h + 10", "t": "e + 11", "w": "t + 4", "x": "w + 13", "l": "x + 19", "n": "l + 13", "h": 5}, "premises": {"h": 5}, "target": "z"}, "answer": {"steps": [["i", "v + 18", "v + 22"], ["v", "q + 12", "q + 34"], ["q", "r + 15", "r + 49"], ["r", "d + 1", "d + 50"], ["d", "h + 18", "h + 68"], ["h", 5, "73"]], "target_var_name": "z", "target_value": 73, "value_dict": {"h": 5}, "is_reverse": true}} | 10,977 | 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 = l + 13; r = d + 1; v = q + 12; x = w + 13; w = t + 4; l = x + 19; t = e + 11; d = h + 18; z = i + 4; h = 5; e = h + 10; i = v + 18; q = r + 15. If h = 5, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = v + 18 to z, which gives z = v + 22.\n2. Substitute v = q + 12 to z, which gives z = q + 34.\n3. Substitute q = r + 15 to z, which gives z = r + 49.\n4. Substitute r = d + 1 to z, which gives z = d + 50.\n5. Substitute d = h + 18 to z, which gives z = h + 68.\n6. Substitute h = 5 to z, which gives z = 73.\n\nThus, the final answer is z = \\boxed{73}.",
"index": 10977,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = l + 13; r = d + 1; v = q + 12; x = w + 13; w = t + 4; l = x + 19; t = e + 11; d = h + 18; z = i + 4; h = 5; e = h + 10; i = v + 18; q = r + 15. If h = 5, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"e": "f + 15", "t": "e + 4", "l": "t + 19", "h": "l + 16", "w": "h + 3", "r": "w + 13", "n": "f + 19", "s": "n + 19", "k": "s + 1", "q": "k + 6", "i": "q + 12", "p": "i + 12", "f": 4}, "premises": {"f": 4}, "target": "r"}, "answer": {"steps": [["w", "h + 3", "h + 16"], ["h", "l + 16", "l + 32"], ["l", "t + 19", "t + 51"], ["t", "e + 4", "e + 55"], ["e", "f + 15", "f + 70"], ["f", 4, "74"]], "target_var_name": "r", "target_value": 74, "value_dict": {"f": 4}, "is_reverse": true}} | 10,978 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = n + 19; h = l + 16; q = k + 6; r = w + 13; i = q + 12; e = f + 15; t = e + 4; n = f + 19; k = s + 1; p = i + 12; w = h + 3; l = t + 19; f = 4. Given that f = 4, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = h + 3 to r, which gives r = h + 16.\n2. Substitute h = l + 16 to r, which gives r = l + 32.\n3. Substitute l = t + 19 to r, which gives r = t + 51.\n4. Substitute t = e + 4 to r, which gives r = e + 55.\n5. Substitute e = f + 15 to r, which gives r = f + 70.\n6. Substitute f = 4 to r, which gives r = 74.\n\nThus, the final answer is r = \\boxed{74}.",
"index": 10978,
"question": "Suppose a collection of variables is related by the following definitions: s = n + 19; h = l + 16; q = k + 6; r = w + 13; i = q + 12; e = f + 15; t = e + 4; n = f + 19; k = s + 1; p = i + 12; w = h + 3; l = t + 19; f = 4. Given that f = 4, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"v": "a + 11", "q": "v + 7", "e": "q + 15", "u": "e + 3", "i": "u + 11", "p": "i + 20", "n": "a + 2", "j": "n + 16", "s": "j + 3", "y": "s + 6", "c": "y + 13", "b": "c + 19", "a": 8}, "premises": {"a": 8}, "target": "p"}, "answer": {"steps": [["i", "u + 11", "u + 31"], ["u", "e + 3", "e + 34"], ["e", "q + 15", "q + 49"], ["q", "v + 7", "v + 56"], ["v", "a + 11", "a + 67"], ["a", 8, "75"]], "target_var_name": "p", "target_value": 75, "value_dict": {"a": 8}, "is_reverse": true}} | 10,979 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = q + 15; b = c + 19; n = a + 2; q = v + 7; c = y + 13; v = a + 11; j = n + 16; a = 8; u = e + 3; p = i + 20; s = j + 3; y = s + 6; i = u + 11. Given that a = 8, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = u + 11 to p, which gives p = u + 31.\n2. Substitute u = e + 3 to p, which gives p = e + 34.\n3. Substitute e = q + 15 to p, which gives p = q + 49.\n4. Substitute q = v + 7 to p, which gives p = v + 56.\n5. Substitute v = a + 11 to p, which gives p = a + 67.\n6. Substitute a = 8 to p, which gives p = 75.\n\nThus, the final answer is p = \\boxed{75}.",
"index": 10979,
"question": "Suppose a collection of variables is related by the following definitions: e = q + 15; b = c + 19; n = a + 2; q = v + 7; c = y + 13; v = a + 11; j = n + 16; a = 8; u = e + 3; p = i + 20; s = j + 3; y = s + 6; i = u + 11. Given that a = 8, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"o": "h + 7", "v": "o + 5", "w": "v + 20", "d": "w + 5", "z": "d + 8", "t": "z + 12", "k": "h + 15", "p": "k + 13", "c": "p + 18", "x": "c + 19", "r": "x + 16", "l": "r + 13", "h": 7}, "premises": {"h": 7}, "target": "t"}, "answer": {"steps": [["z", "d + 8", "d + 20"], ["d", "w + 5", "w + 25"], ["w", "v + 20", "v + 45"], ["v", "o + 5", "o + 50"], ["o", "h + 7", "h + 57"], ["h", 7, "64"]], "target_var_name": "t", "target_value": 64, "value_dict": {"h": 7}, "is_reverse": true}} | 10,980 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = v + 20; h = 7; k = h + 15; x = c + 19; d = w + 5; c = p + 18; r = x + 16; p = k + 13; z = d + 8; l = r + 13; o = h + 7; t = z + 12; v = o + 5. If h = 7, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = d + 8 to t, which gives t = d + 20.\n2. Substitute d = w + 5 to t, which gives t = w + 25.\n3. Substitute w = v + 20 to t, which gives t = v + 45.\n4. Substitute v = o + 5 to t, which gives t = o + 50.\n5. Substitute o = h + 7 to t, which gives t = h + 57.\n6. Substitute h = 7 to t, which gives t = 64.\n\nThus, the final answer is t = \\boxed{64}.",
"index": 10980,
"question": "Consider a system of variables where each variable is defined as follows: w = v + 20; h = 7; k = h + 15; x = c + 19; d = w + 5; c = p + 18; r = x + 16; p = k + 13; z = d + 8; l = r + 13; o = h + 7; t = z + 12; v = o + 5. If h = 7, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"g": "j + 4", "t": "g + 1", "i": "t + 12", "w": "i + 7", "n": "w + 17", "z": "n + 7", "m": "j + 14", "q": "m + 15", "d": "q + 20", "u": "d + 4", "l": "u + 5", "o": "l + 16", "j": 19}, "premises": {"j": 19}, "target": "z"}, "answer": {"steps": [["n", "w + 17", "w + 24"], ["w", "i + 7", "i + 31"], ["i", "t + 12", "t + 43"], ["t", "g + 1", "g + 44"], ["g", "j + 4", "j + 48"], ["j", 19, "67"]], "target_var_name": "z", "target_value": 67, "value_dict": {"j": 19}, "is_reverse": true}} | 10,981 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = i + 7; n = w + 17; u = d + 4; d = q + 20; j = 19; i = t + 12; m = j + 14; z = n + 7; l = u + 5; o = l + 16; t = g + 1; q = m + 15; g = j + 4. Given that j = 19, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = w + 17 to z, which gives z = w + 24.\n2. Substitute w = i + 7 to z, which gives z = i + 31.\n3. Substitute i = t + 12 to z, which gives z = t + 43.\n4. Substitute t = g + 1 to z, which gives z = g + 44.\n5. Substitute g = j + 4 to z, which gives z = j + 48.\n6. Substitute j = 19 to z, which gives z = 67.\n\nThus, the final answer is z = \\boxed{67}.",
"index": 10981,
"question": "Suppose a collection of variables is related by the following definitions: w = i + 7; n = w + 17; u = d + 4; d = q + 20; j = 19; i = t + 12; m = j + 14; z = n + 7; l = u + 5; o = l + 16; t = g + 1; q = m + 15; g = j + 4. Given that j = 19, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"r": "t + 9", "g": "r + 15", "k": "g + 7", "p": "k + 2", "u": "p + 7", "b": "u + 13", "e": "t + 13", "d": "e + 3", "x": "d + 3", "s": "x + 1", "q": "s + 5", "n": "q + 9", "t": 13}, "premises": {"t": 13}, "target": "b"}, "answer": {"steps": [["u", "p + 7", "p + 20"], ["p", "k + 2", "k + 22"], ["k", "g + 7", "g + 29"], ["g", "r + 15", "r + 44"], ["r", "t + 9", "t + 53"], ["t", 13, "66"]], "target_var_name": "b", "target_value": 66, "value_dict": {"t": 13}, "is_reverse": true}} | 10,982 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = p + 7; b = u + 13; q = s + 5; k = g + 7; p = k + 2; e = t + 13; s = x + 1; t = 13; n = q + 9; r = t + 9; g = r + 15; d = e + 3; x = d + 3. If t = 13, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = p + 7 to b, which gives b = p + 20.\n2. Substitute p = k + 2 to b, which gives b = k + 22.\n3. Substitute k = g + 7 to b, which gives b = g + 29.\n4. Substitute g = r + 15 to b, which gives b = r + 44.\n5. Substitute r = t + 9 to b, which gives b = t + 53.\n6. Substitute t = 13 to b, which gives b = 66.\n\nThus, the final answer is b = \\boxed{66}.",
"index": 10982,
"question": "Consider a system of variables where each variable is defined as follows: u = p + 7; b = u + 13; q = s + 5; k = g + 7; p = k + 2; e = t + 13; s = x + 1; t = 13; n = q + 9; r = t + 9; g = r + 15; d = e + 3; x = d + 3. If t = 13, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"g": "t + 9", "i": "g + 17", "m": "i + 5", "f": "m + 17", "b": "f + 9", "x": "b + 7", "o": "t + 18", "j": "o + 10", "w": "j + 17", "s": "w + 5", "y": "s + 11", "p": "y + 2", "t": 15}, "premises": {"t": 15}, "target": "x"}, "answer": {"steps": [["b", "f + 9", "f + 16"], ["f", "m + 17", "m + 33"], ["m", "i + 5", "i + 38"], ["i", "g + 17", "g + 55"], ["g", "t + 9", "t + 64"], ["t", 15, "79"]], "target_var_name": "x", "target_value": 79, "value_dict": {"t": 15}, "is_reverse": true}} | 10,983 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = j + 17; o = t + 18; s = w + 5; b = f + 9; m = i + 5; g = t + 9; f = m + 17; x = b + 7; j = o + 10; p = y + 2; t = 15; i = g + 17; y = s + 11. Given that t = 15, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = f + 9 to x, which gives x = f + 16.\n2. Substitute f = m + 17 to x, which gives x = m + 33.\n3. Substitute m = i + 5 to x, which gives x = i + 38.\n4. Substitute i = g + 17 to x, which gives x = g + 55.\n5. Substitute g = t + 9 to x, which gives x = t + 64.\n6. Substitute t = 15 to x, which gives x = 79.\n\nThus, the final answer is x = \\boxed{79}.",
"index": 10983,
"question": "Suppose a collection of variables is related by the following definitions: w = j + 17; o = t + 18; s = w + 5; b = f + 9; m = i + 5; g = t + 9; f = m + 17; x = b + 7; j = o + 10; p = y + 2; t = 15; i = g + 17; y = s + 11. Given that t = 15, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"h": "d + 19", "s": "h + 16", "f": "s + 6", "b": "f + 8", "a": "b + 12", "i": "a + 6", "o": "d + 11", "j": "o + 2", "e": "j + 1", "r": "e + 4", "l": "r + 7", "c": "l + 13", "d": 16}, "premises": {"d": 16}, "target": "i"}, "answer": {"steps": [["a", "b + 12", "b + 18"], ["b", "f + 8", "f + 26"], ["f", "s + 6", "s + 32"], ["s", "h + 16", "h + 48"], ["h", "d + 19", "d + 67"], ["d", 16, "83"]], "target_var_name": "i", "target_value": 83, "value_dict": {"d": 16}, "is_reverse": true}} | 10,984 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = s + 6; d = 16; e = j + 1; b = f + 8; s = h + 16; a = b + 12; j = o + 2; c = l + 13; o = d + 11; h = d + 19; i = a + 6; r = e + 4; l = r + 7. Given that d = 16, find 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 a = b + 12 to i, which gives i = b + 18.\n2. Substitute b = f + 8 to i, which gives i = f + 26.\n3. Substitute f = s + 6 to i, which gives i = s + 32.\n4. Substitute s = h + 16 to i, which gives i = h + 48.\n5. Substitute h = d + 19 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": 10984,
"question": "Suppose a collection of variables is related by the following definitions: f = s + 6; d = 16; e = j + 1; b = f + 8; s = h + 16; a = b + 12; j = o + 2; c = l + 13; o = d + 11; h = d + 19; i = a + 6; r = e + 4; l = r + 7. Given that d = 16, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"w": "x + 11", "h": "w + 19", "i": "h + 12", "t": "i + 6", "g": "t + 7", "q": "g + 3", "a": "x + 11", "y": "a + 19", "e": "y + 20", "c": "e + 1", "r": "c + 15", "u": "r + 13", "x": 2}, "premises": {"x": 2}, "target": "q"}, "answer": {"steps": [["g", "t + 7", "t + 10"], ["t", "i + 6", "i + 16"], ["i", "h + 12", "h + 28"], ["h", "w + 19", "w + 47"], ["w", "x + 11", "x + 58"], ["x", 2, "60"]], "target_var_name": "q", "target_value": 60, "value_dict": {"x": 2}, "is_reverse": true}} | 10,985 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = g + 3; x = 2; r = c + 15; h = w + 19; t = i + 6; i = h + 12; e = y + 20; u = r + 13; g = t + 7; w = x + 11; a = x + 11; c = e + 1; y = a + 19. If x = 2, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = t + 7 to q, which gives q = t + 10.\n2. Substitute t = i + 6 to q, which gives q = i + 16.\n3. Substitute i = h + 12 to q, which gives q = h + 28.\n4. Substitute h = w + 19 to q, which gives q = w + 47.\n5. Substitute w = x + 11 to q, which gives q = x + 58.\n6. Substitute x = 2 to q, which gives q = 60.\n\nThus, the final answer is q = \\boxed{60}.",
"index": 10985,
"question": "Consider a system of variables where each variable is defined as follows: q = g + 3; x = 2; r = c + 15; h = w + 19; t = i + 6; i = h + 12; e = y + 20; u = r + 13; g = t + 7; w = x + 11; a = x + 11; c = e + 1; y = a + 19. If x = 2, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"y": "j + 9", "k": "y + 4", "c": "k + 19", "r": "c + 8", "t": "r + 13", "s": "t + 7", "p": "j + 12", "b": "p + 19", "n": "b + 3", "x": "n + 13", "l": "x + 10", "i": "l + 11", "j": 6}, "premises": {"j": 6}, "target": "s"}, "answer": {"steps": [["t", "r + 13", "r + 20"], ["r", "c + 8", "c + 28"], ["c", "k + 19", "k + 47"], ["k", "y + 4", "y + 51"], ["y", "j + 9", "j + 60"], ["j", 6, "66"]], "target_var_name": "s", "target_value": 66, "value_dict": {"j": 6}, "is_reverse": true}} | 10,986 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = n + 13; s = t + 7; c = k + 19; l = x + 10; p = j + 12; n = b + 3; j = 6; k = y + 4; y = j + 9; i = l + 11; r = c + 8; b = p + 19; t = r + 13. If j = 6, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = r + 13 to s, which gives s = r + 20.\n2. Substitute r = c + 8 to s, which gives s = c + 28.\n3. Substitute c = k + 19 to s, which gives s = k + 47.\n4. Substitute k = y + 4 to s, which gives s = y + 51.\n5. Substitute y = j + 9 to s, which gives s = j + 60.\n6. Substitute j = 6 to s, which gives s = 66.\n\nThus, the final answer is s = \\boxed{66}.",
"index": 10986,
"question": "Consider a system of variables where each variable is defined as follows: x = n + 13; s = t + 7; c = k + 19; l = x + 10; p = j + 12; n = b + 3; j = 6; k = y + 4; y = j + 9; i = l + 11; r = c + 8; b = p + 19; t = r + 13. If j = 6, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"g": "l + 13", "r": "g + 16", "p": "r + 18", "z": "p + 6", "u": "z + 10", "q": "u + 16", "f": "l + 11", "x": "f + 14", "a": "x + 19", "n": "a + 5", "w": "n + 18", "o": "w + 20", "l": 15}, "premises": {"l": 15}, "target": "q"}, "answer": {"steps": [["u", "z + 10", "z + 26"], ["z", "p + 6", "p + 32"], ["p", "r + 18", "r + 50"], ["r", "g + 16", "g + 66"], ["g", "l + 13", "l + 79"], ["l", 15, "94"]], "target_var_name": "q", "target_value": 94, "value_dict": {"l": 15}, "is_reverse": true}} | 10,987 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = w + 20; z = p + 6; u = z + 10; n = a + 5; g = l + 13; l = 15; f = l + 11; x = f + 14; p = r + 18; r = g + 16; w = n + 18; q = u + 16; a = x + 19. If l = 15, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = z + 10 to q, which gives q = z + 26.\n2. Substitute z = p + 6 to q, which gives q = p + 32.\n3. Substitute p = r + 18 to q, which gives q = r + 50.\n4. Substitute r = g + 16 to q, which gives q = g + 66.\n5. Substitute g = l + 13 to q, which gives q = l + 79.\n6. Substitute l = 15 to q, which gives q = 94.\n\nThus, the final answer is q = \\boxed{94}.",
"index": 10987,
"question": "Consider a system of variables where each variable is defined as follows: o = w + 20; z = p + 6; u = z + 10; n = a + 5; g = l + 13; l = 15; f = l + 11; x = f + 14; p = r + 18; r = g + 16; w = n + 18; q = u + 16; a = x + 19. If l = 15, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"s": "b + 20", "t": "s + 7", "z": "t + 6", "o": "z + 1", "k": "o + 5", "p": "k + 7", "x": "b + 12", "j": "x + 3", "f": "j + 2", "e": "f + 1", "h": "e + 1", "g": "h + 15", "b": 7}, "premises": {"b": 7}, "target": "p"}, "answer": {"steps": [["k", "o + 5", "o + 12"], ["o", "z + 1", "z + 13"], ["z", "t + 6", "t + 19"], ["t", "s + 7", "s + 26"], ["s", "b + 20", "b + 46"], ["b", 7, "53"]], "target_var_name": "p", "target_value": 53, "value_dict": {"b": 7}, "is_reverse": true}} | 10,988 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = s + 7; g = h + 15; p = k + 7; z = t + 6; b = 7; h = e + 1; x = b + 12; s = b + 20; j = x + 3; f = j + 2; k = o + 5; o = z + 1; e = f + 1. If b = 7, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = o + 5 to p, which gives p = o + 12.\n2. Substitute o = z + 1 to p, which gives p = z + 13.\n3. Substitute z = t + 6 to p, which gives p = t + 19.\n4. Substitute t = s + 7 to p, which gives p = s + 26.\n5. Substitute s = b + 20 to p, which gives p = b + 46.\n6. Substitute b = 7 to p, which gives p = 53.\n\nThus, the final answer is p = \\boxed{53}.",
"index": 10988,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = s + 7; g = h + 15; p = k + 7; z = t + 6; b = 7; h = e + 1; x = b + 12; s = b + 20; j = x + 3; f = j + 2; k = o + 5; o = z + 1; e = f + 1. If b = 7, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"r": "b + 1", "e": "r + 11", "k": "e + 19", "h": "k + 17", "p": "h + 9", "i": "p + 8", "m": "b + 16", "t": "m + 8", "q": "t + 17", "u": "q + 18", "s": "u + 3", "j": "s + 10", "b": 18}, "premises": {"b": 18}, "target": "i"}, "answer": {"steps": [["p", "h + 9", "h + 17"], ["h", "k + 17", "k + 34"], ["k", "e + 19", "e + 53"], ["e", "r + 11", "r + 64"], ["r", "b + 1", "b + 65"], ["b", 18, "83"]], "target_var_name": "i", "target_value": 83, "value_dict": {"b": 18}, "is_reverse": true}} | 10,989 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = p + 8; u = q + 18; t = m + 8; m = b + 16; h = k + 17; b = 18; e = r + 11; r = b + 1; k = e + 19; q = t + 17; s = u + 3; p = h + 9; j = s + 10. If b = 18, 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 p = h + 9 to i, which gives i = h + 17.\n2. Substitute h = k + 17 to i, which gives i = k + 34.\n3. Substitute k = e + 19 to i, which gives i = e + 53.\n4. Substitute e = r + 11 to i, which gives i = r + 64.\n5. Substitute r = b + 1 to i, which gives i = b + 65.\n6. Substitute b = 18 to i, which gives i = 83.\n\nThus, the final answer is i = \\boxed{83}.",
"index": 10989,
"question": "Consider a system of variables where each variable is defined as follows: i = p + 8; u = q + 18; t = m + 8; m = b + 16; h = k + 17; b = 18; e = r + 11; r = b + 1; k = e + 19; q = t + 17; s = u + 3; p = h + 9; j = s + 10. If b = 18, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"c": "m + 11", "v": "c + 11", "d": "v + 2", "r": "d + 2", "q": "r + 13", "h": "q + 12", "e": "m + 2", "p": "e + 19", "k": "p + 4", "j": "k + 7", "x": "j + 12", "f": "x + 2", "m": 10}, "premises": {"m": 10}, "target": "h"}, "answer": {"steps": [["q", "r + 13", "r + 25"], ["r", "d + 2", "d + 27"], ["d", "v + 2", "v + 29"], ["v", "c + 11", "c + 40"], ["c", "m + 11", "m + 51"], ["m", 10, "61"]], "target_var_name": "h", "target_value": 61, "value_dict": {"m": 10}, "is_reverse": true}} | 10,990 | 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 = j + 12; p = e + 19; j = k + 7; h = q + 12; c = m + 11; k = p + 4; f = x + 2; r = d + 2; d = v + 2; m = 10; e = m + 2; q = r + 13; v = c + 11. If m = 10, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = r + 13 to h, which gives h = r + 25.\n2. Substitute r = d + 2 to h, which gives h = d + 27.\n3. Substitute d = v + 2 to h, which gives h = v + 29.\n4. Substitute v = c + 11 to h, which gives h = c + 40.\n5. Substitute c = m + 11 to h, which gives h = m + 51.\n6. Substitute m = 10 to h, which gives h = 61.\n\nThus, the final answer is h = \\boxed{61}.",
"index": 10990,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = j + 12; p = e + 19; j = k + 7; h = q + 12; c = m + 11; k = p + 4; f = x + 2; r = d + 2; d = v + 2; m = 10; e = m + 2; q = r + 13; v = c + 11. If m = 10, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"g": "r + 4", "m": "g + 15", "t": "m + 3", "z": "t + 4", "j": "z + 6", "s": "j + 14", "e": "r + 18", "u": "e + 14", "c": "u + 2", "l": "c + 9", "p": "l + 1", "v": "p + 20", "r": 12}, "premises": {"r": 12}, "target": "s"}, "answer": {"steps": [["j", "z + 6", "z + 20"], ["z", "t + 4", "t + 24"], ["t", "m + 3", "m + 27"], ["m", "g + 15", "g + 42"], ["g", "r + 4", "r + 46"], ["r", 12, "58"]], "target_var_name": "s", "target_value": 58, "value_dict": {"r": 12}, "is_reverse": true}} | 10,991 | 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 + 9; g = r + 4; c = u + 2; j = z + 6; p = l + 1; r = 12; m = g + 15; v = p + 20; t = m + 3; u = e + 14; z = t + 4; s = j + 14; e = r + 18. If r = 12, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = z + 6 to s, which gives s = z + 20.\n2. Substitute z = t + 4 to s, which gives s = t + 24.\n3. Substitute t = m + 3 to s, which gives s = m + 27.\n4. Substitute m = g + 15 to s, which gives s = g + 42.\n5. Substitute g = r + 4 to s, which gives s = r + 46.\n6. Substitute r = 12 to s, which gives s = 58.\n\nThus, the final answer is s = \\boxed{58}.",
"index": 10991,
"question": "Consider a system of variables where each variable is defined as follows: l = c + 9; g = r + 4; c = u + 2; j = z + 6; p = l + 1; r = 12; m = g + 15; v = p + 20; t = m + 3; u = e + 14; z = t + 4; s = j + 14; e = r + 18. If r = 12, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"l": "n + 6", "x": "l + 17", "v": "x + 19", "w": "v + 12", "s": "w + 19", "p": "s + 19", "y": "n + 1", "z": "y + 20", "u": "z + 16", "t": "u + 18", "b": "t + 6", "f": "b + 19", "n": 11}, "premises": {"n": 11}, "target": "p"}, "answer": {"steps": [["s", "w + 19", "w + 38"], ["w", "v + 12", "v + 50"], ["v", "x + 19", "x + 69"], ["x", "l + 17", "l + 86"], ["l", "n + 6", "n + 92"], ["n", 11, "103"]], "target_var_name": "p", "target_value": 103, "value_dict": {"n": 11}, "is_reverse": true}} | 10,992 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = n + 1; v = x + 19; t = u + 18; w = v + 12; l = n + 6; z = y + 20; n = 11; x = l + 17; b = t + 6; f = b + 19; u = z + 16; s = w + 19; p = s + 19. Given that n = 11, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 103,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = w + 19 to p, which gives p = w + 38.\n2. Substitute w = v + 12 to p, which gives p = v + 50.\n3. Substitute v = x + 19 to p, which gives p = x + 69.\n4. Substitute x = l + 17 to p, which gives p = l + 86.\n5. Substitute l = n + 6 to p, which gives p = n + 92.\n6. Substitute n = 11 to p, which gives p = 103.\n\nThus, the final answer is p = \\boxed{103}.",
"index": 10992,
"question": "Suppose a collection of variables is related by the following definitions: y = n + 1; v = x + 19; t = u + 18; w = v + 12; l = n + 6; z = y + 20; n = 11; x = l + 17; b = t + 6; f = b + 19; u = z + 16; s = w + 19; p = s + 19. Given that n = 11, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"a": "z + 18", "b": "a + 11", "p": "b + 8", "k": "p + 1", "c": "k + 13", "s": "c + 6", "o": "z + 14", "v": "o + 18", "g": "v + 13", "x": "g + 15", "j": "x + 6", "n": "j + 18", "z": 5}, "premises": {"z": 5}, "target": "s"}, "answer": {"steps": [["c", "k + 13", "k + 19"], ["k", "p + 1", "p + 20"], ["p", "b + 8", "b + 28"], ["b", "a + 11", "a + 39"], ["a", "z + 18", "z + 57"], ["z", 5, "62"]], "target_var_name": "s", "target_value": 62, "value_dict": {"z": 5}, "is_reverse": true}} | 10,993 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = p + 1; v = o + 18; j = x + 6; c = k + 13; b = a + 11; o = z + 14; s = c + 6; g = v + 13; a = z + 18; x = g + 15; n = j + 18; z = 5; p = b + 8. If z = 5, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = k + 13 to s, which gives s = k + 19.\n2. Substitute k = p + 1 to s, which gives s = p + 20.\n3. Substitute p = b + 8 to s, which gives s = b + 28.\n4. Substitute b = a + 11 to s, which gives s = a + 39.\n5. Substitute a = z + 18 to s, which gives s = z + 57.\n6. Substitute z = 5 to s, which gives s = 62.\n\nThus, the final answer is s = \\boxed{62}.",
"index": 10993,
"question": "Consider a system of variables where each variable is defined as follows: k = p + 1; v = o + 18; j = x + 6; c = k + 13; b = a + 11; o = z + 14; s = c + 6; g = v + 13; a = z + 18; x = g + 15; n = j + 18; z = 5; p = b + 8. If z = 5, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"i": "r + 9", "d": "i + 13", "m": "d + 11", "e": "m + 12", "x": "e + 3", "z": "x + 7", "l": "r + 8", "g": "l + 17", "f": "g + 6", "k": "f + 7", "s": "k + 2", "o": "s + 18", "r": 7}, "premises": {"r": 7}, "target": "z"}, "answer": {"steps": [["x", "e + 3", "e + 10"], ["e", "m + 12", "m + 22"], ["m", "d + 11", "d + 33"], ["d", "i + 13", "i + 46"], ["i", "r + 9", "r + 55"], ["r", 7, "62"]], "target_var_name": "z", "target_value": 62, "value_dict": {"r": 7}, "is_reverse": true}} | 10,994 | 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 = r + 8; g = l + 17; m = d + 11; i = r + 9; f = g + 6; e = m + 12; r = 7; k = f + 7; o = s + 18; s = k + 2; z = x + 7; x = e + 3; d = i + 13. If r = 7, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = e + 3 to z, which gives z = e + 10.\n2. Substitute e = m + 12 to z, which gives z = m + 22.\n3. Substitute m = d + 11 to z, which gives z = d + 33.\n4. Substitute d = i + 13 to z, which gives z = i + 46.\n5. Substitute i = r + 9 to z, which gives z = r + 55.\n6. Substitute r = 7 to z, which gives z = 62.\n\nThus, the final answer is z = \\boxed{62}.",
"index": 10994,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = r + 8; g = l + 17; m = d + 11; i = r + 9; f = g + 6; e = m + 12; r = 7; k = f + 7; o = s + 18; s = k + 2; z = x + 7; x = e + 3; d = i + 13. If r = 7, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"g": "q + 18", "a": "g + 11", "h": "a + 15", "n": "h + 10", "y": "n + 11", "d": "y + 20", "k": "q + 12", "s": "k + 11", "x": "s + 6", "u": "x + 7", "l": "u + 20", "b": "l + 1", "q": 2}, "premises": {"q": 2}, "target": "d"}, "answer": {"steps": [["y", "n + 11", "n + 31"], ["n", "h + 10", "h + 41"], ["h", "a + 15", "a + 56"], ["a", "g + 11", "g + 67"], ["g", "q + 18", "q + 85"], ["q", 2, "87"]], "target_var_name": "d", "target_value": 87, "value_dict": {"q": 2}, "is_reverse": true}} | 10,995 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = y + 20; a = g + 11; q = 2; s = k + 11; n = h + 10; g = q + 18; l = u + 20; x = s + 6; y = n + 11; h = a + 15; u = x + 7; k = q + 12; b = l + 1. Given that q = 2, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = n + 11 to d, which gives d = n + 31.\n2. Substitute n = h + 10 to d, which gives d = h + 41.\n3. Substitute h = a + 15 to d, which gives d = a + 56.\n4. Substitute a = g + 11 to d, which gives d = g + 67.\n5. Substitute g = q + 18 to d, which gives d = q + 85.\n6. Substitute q = 2 to d, which gives d = 87.\n\nThus, the final answer is d = \\boxed{87}.",
"index": 10995,
"question": "Suppose a collection of variables is related by the following definitions: d = y + 20; a = g + 11; q = 2; s = k + 11; n = h + 10; g = q + 18; l = u + 20; x = s + 6; y = n + 11; h = a + 15; u = x + 7; k = q + 12; b = l + 1. Given that q = 2, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"r": "t + 4", "d": "r + 7", "n": "d + 14", "c": "n + 14", "j": "c + 2", "x": "j + 14", "h": "t + 9", "l": "h + 18", "z": "l + 7", "b": "z + 17", "v": "b + 7", "o": "v + 8", "t": 18}, "premises": {"t": 18}, "target": "x"}, "answer": {"steps": [["j", "c + 2", "c + 16"], ["c", "n + 14", "n + 30"], ["n", "d + 14", "d + 44"], ["d", "r + 7", "r + 51"], ["r", "t + 4", "t + 55"], ["t", 18, "73"]], "target_var_name": "x", "target_value": 73, "value_dict": {"t": 18}, "is_reverse": true}} | 10,996 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = r + 7; r = t + 4; h = t + 9; b = z + 17; x = j + 14; c = n + 14; v = b + 7; z = l + 7; n = d + 14; j = c + 2; o = v + 8; t = 18; l = h + 18. Given that t = 18, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = c + 2 to x, which gives x = c + 16.\n2. Substitute c = n + 14 to x, which gives x = n + 30.\n3. Substitute n = d + 14 to x, which gives x = d + 44.\n4. Substitute d = r + 7 to x, which gives x = r + 51.\n5. Substitute r = t + 4 to x, which gives x = t + 55.\n6. Substitute t = 18 to x, which gives x = 73.\n\nThus, the final answer is x = \\boxed{73}.",
"index": 10996,
"question": "Suppose a collection of variables is related by the following definitions: d = r + 7; r = t + 4; h = t + 9; b = z + 17; x = j + 14; c = n + 14; v = b + 7; z = l + 7; n = d + 14; j = c + 2; o = v + 8; t = 18; l = h + 18. Given that t = 18, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"v": "s + 1", "t": "v + 13", "k": "t + 3", "r": "k + 14", "z": "r + 8", "n": "z + 10", "i": "s + 3", "y": "i + 13", "f": "y + 11", "l": "f + 7", "d": "l + 7", "j": "d + 2", "s": 1}, "premises": {"s": 1}, "target": "n"}, "answer": {"steps": [["z", "r + 8", "r + 18"], ["r", "k + 14", "k + 32"], ["k", "t + 3", "t + 35"], ["t", "v + 13", "v + 48"], ["v", "s + 1", "s + 49"], ["s", 1, "50"]], "target_var_name": "n", "target_value": 50, "value_dict": {"s": 1}, "is_reverse": true}} | 10,997 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = i + 13; s = 1; n = z + 10; r = k + 14; z = r + 8; j = d + 2; i = s + 3; v = s + 1; l = f + 7; f = y + 11; d = l + 7; t = v + 13; k = t + 3. Given that s = 1, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = r + 8 to n, which gives n = r + 18.\n2. Substitute r = k + 14 to n, which gives n = k + 32.\n3. Substitute k = t + 3 to n, which gives n = t + 35.\n4. Substitute t = v + 13 to n, which gives n = v + 48.\n5. Substitute v = s + 1 to n, which gives n = s + 49.\n6. Substitute s = 1 to n, which gives n = 50.\n\nThus, the final answer is n = \\boxed{50}.",
"index": 10997,
"question": "Suppose a collection of variables is related by the following definitions: y = i + 13; s = 1; n = z + 10; r = k + 14; z = r + 8; j = d + 2; i = s + 3; v = s + 1; l = f + 7; f = y + 11; d = l + 7; t = v + 13; k = t + 3. Given that s = 1, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"t": "l + 10", "b": "t + 17", "q": "b + 17", "k": "q + 15", "a": "k + 17", "h": "a + 18", "s": "l + 1", "e": "s + 16", "w": "e + 13", "f": "w + 16", "i": "f + 14", "x": "i + 20", "l": 19}, "premises": {"l": 19}, "target": "h"}, "answer": {"steps": [["a", "k + 17", "k + 35"], ["k", "q + 15", "q + 50"], ["q", "b + 17", "b + 67"], ["b", "t + 17", "t + 84"], ["t", "l + 10", "l + 94"], ["l", 19, "113"]], "target_var_name": "h", "target_value": 113, "value_dict": {"l": 19}, "is_reverse": true}} | 10,998 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = s + 16; x = i + 20; t = l + 10; q = b + 17; l = 19; a = k + 17; b = t + 17; h = a + 18; f = w + 16; w = e + 13; k = q + 15; s = l + 1; i = f + 14. Given that l = 19, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 113,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = k + 17 to h, which gives h = k + 35.\n2. Substitute k = q + 15 to h, which gives h = q + 50.\n3. Substitute q = b + 17 to h, which gives h = b + 67.\n4. Substitute b = t + 17 to h, which gives h = t + 84.\n5. Substitute t = l + 10 to h, which gives h = l + 94.\n6. Substitute l = 19 to h, which gives h = 113.\n\nThus, the final answer is h = \\boxed{113}.",
"index": 10998,
"question": "Suppose a collection of variables is related by the following definitions: e = s + 16; x = i + 20; t = l + 10; q = b + 17; l = 19; a = k + 17; b = t + 17; h = a + 18; f = w + 16; w = e + 13; k = q + 15; s = l + 1; i = f + 14. Given that l = 19, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"m": "l + 1", "t": "m + 13", "i": "t + 3", "k": "i + 2", "o": "k + 8", "v": "o + 12", "w": "l + 19", "j": "w + 16", "b": "j + 2", "f": "b + 1", "c": "f + 16", "q": "c + 9", "l": 15}, "premises": {"l": 15}, "target": "v"}, "answer": {"steps": [["o", "k + 8", "k + 20"], ["k", "i + 2", "i + 22"], ["i", "t + 3", "t + 25"], ["t", "m + 13", "m + 38"], ["m", "l + 1", "l + 39"], ["l", 15, "54"]], "target_var_name": "v", "target_value": 54, "value_dict": {"l": 15}, "is_reverse": true}} | 10,999 | 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 = c + 9; w = l + 19; k = i + 2; b = j + 2; i = t + 3; o = k + 8; t = m + 13; m = l + 1; c = f + 16; v = o + 12; l = 15; f = b + 1; j = w + 16. If l = 15, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = k + 8 to v, which gives v = k + 20.\n2. Substitute k = i + 2 to v, which gives v = i + 22.\n3. Substitute i = t + 3 to v, which gives v = t + 25.\n4. Substitute t = m + 13 to v, which gives v = m + 38.\n5. Substitute m = l + 1 to v, which gives v = l + 39.\n6. Substitute l = 15 to v, which gives v = 54.\n\nThus, the final answer is v = \\boxed{54}.",
"index": 10999,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = c + 9; w = l + 19; k = i + 2; b = j + 2; i = t + 3; o = k + 8; t = m + 13; m = l + 1; c = f + 16; v = o + 12; l = 15; f = b + 1; j = w + 16. If l = 15, what is the resulting value of v?",
"split": "train"
} |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.