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": {"j": "o + 10", "v": "j + 12", "d": "v + 20", "l": "d + 5", "p": "l + 4", "s": "p + 9", "t": "o + 14", "c": "t + 4", "q": "c + 13", "z": "q + 6", "g": "z + 6", "y": "g + 1", "o": 5}, "premises": {"o": 5}, "target": "s"}, "answer": {"steps": [["p", "l + 4", "l + 13"], ["l", "d + 5", "d + 18"], ["d", "v + 20", "v + 38"], ["v", "j + 12", "j + 50"], ["j", "o + 10", "o + 60"], ["o", 5, "65"]], "target_var_name": "s", "target_value": 65, "value_dict": {"o": 5}, "is_reverse": true}} | 19,200 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = l + 4; t = o + 14; d = v + 20; q = c + 13; l = d + 5; s = p + 9; c = t + 4; y = g + 1; g = z + 6; z = q + 6; o = 5; j = o + 10; v = j + 12. Given that o = 5, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = l + 4 to s, which gives s = l + 13.\n2. Substitute l = d + 5 to s, which gives s = d + 18.\n3. Substitute d = v + 20 to s, which gives s = v + 38.\n4. Substitute v = j + 12 to s, which gives s = j + 50.\n5. Substitute j = o + 10 to s, which gives s = o + 60.\n6. Substitute o = 5 to s, which gives s = 65.\n\nThus, the final answer is s = \\boxed{65}.",
"index": 19200,
"question": "Suppose a collection of variables is related by the following definitions: p = l + 4; t = o + 14; d = v + 20; q = c + 13; l = d + 5; s = p + 9; c = t + 4; y = g + 1; g = z + 6; z = q + 6; o = 5; j = o + 10; v = j + 12. Given that o = 5, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"f": "c + 3", "t": "f + 13", "b": "t + 12", "q": "b + 7", "w": "q + 15", "h": "w + 9", "s": "c + 3", "p": "s + 3", "d": "p + 6", "r": "d + 5", "u": "r + 8", "y": "u + 3", "c": 19}, "premises": {"c": 19}, "target": "h"}, "answer": {"steps": [["w", "q + 15", "q + 24"], ["q", "b + 7", "b + 31"], ["b", "t + 12", "t + 43"], ["t", "f + 13", "f + 56"], ["f", "c + 3", "c + 59"], ["c", 19, "78"]], "target_var_name": "h", "target_value": 78, "value_dict": {"c": 19}, "is_reverse": true}} | 19,201 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = q + 15; d = p + 6; c = 19; q = b + 7; p = s + 3; h = w + 9; t = f + 13; r = d + 5; u = r + 8; s = c + 3; b = t + 12; y = u + 3; f = c + 3. If c = 19, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = q + 15 to h, which gives h = q + 24.\n2. Substitute q = b + 7 to h, which gives h = b + 31.\n3. Substitute b = t + 12 to h, which gives h = t + 43.\n4. Substitute t = f + 13 to h, which gives h = f + 56.\n5. Substitute f = c + 3 to h, which gives h = c + 59.\n6. Substitute c = 19 to h, which gives h = 78.\n\nThus, the final answer is h = \\boxed{78}.",
"index": 19201,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = q + 15; d = p + 6; c = 19; q = b + 7; p = s + 3; h = w + 9; t = f + 13; r = d + 5; u = r + 8; s = c + 3; b = t + 12; y = u + 3; f = c + 3. If c = 19, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"d": "x + 18", "m": "d + 2", "s": "m + 20", "o": "s + 11", "a": "o + 15", "f": "a + 4", "p": "x + 5", "z": "p + 20", "b": "z + 7", "h": "b + 17", "y": "h + 17", "c": "y + 13", "x": 20}, "premises": {"x": 20}, "target": "f"}, "answer": {"steps": [["a", "o + 15", "o + 19"], ["o", "s + 11", "s + 30"], ["s", "m + 20", "m + 50"], ["m", "d + 2", "d + 52"], ["d", "x + 18", "x + 70"], ["x", 20, "90"]], "target_var_name": "f", "target_value": 90, "value_dict": {"x": 20}, "is_reverse": true}} | 19,202 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = z + 7; z = p + 20; a = o + 15; p = x + 5; x = 20; m = d + 2; s = m + 20; y = h + 17; d = x + 18; o = s + 11; h = b + 17; f = a + 4; c = y + 13. Given that x = 20, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = o + 15 to f, which gives f = o + 19.\n2. Substitute o = s + 11 to f, which gives f = s + 30.\n3. Substitute s = m + 20 to f, which gives f = m + 50.\n4. Substitute m = d + 2 to f, which gives f = d + 52.\n5. Substitute d = x + 18 to f, which gives f = x + 70.\n6. Substitute x = 20 to f, which gives f = 90.\n\nThus, the final answer is f = \\boxed{90}.",
"index": 19202,
"question": "Suppose a collection of variables is related by the following definitions: b = z + 7; z = p + 20; a = o + 15; p = x + 5; x = 20; m = d + 2; s = m + 20; y = h + 17; d = x + 18; o = s + 11; h = b + 17; f = a + 4; c = y + 13. Given that x = 20, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"e": "t + 5", "h": "e + 16", "q": "h + 12", "z": "q + 18", "g": "z + 4", "s": "g + 9", "b": "t + 16", "n": "b + 13", "p": "n + 14", "y": "p + 11", "f": "y + 3", "d": "f + 2", "t": 4}, "premises": {"t": 4}, "target": "s"}, "answer": {"steps": [["g", "z + 4", "z + 13"], ["z", "q + 18", "q + 31"], ["q", "h + 12", "h + 43"], ["h", "e + 16", "e + 59"], ["e", "t + 5", "t + 64"], ["t", 4, "68"]], "target_var_name": "s", "target_value": 68, "value_dict": {"t": 4}, "is_reverse": true}} | 19,203 | 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 = p + 11; f = y + 3; t = 4; b = t + 16; z = q + 18; e = t + 5; n = b + 13; d = f + 2; g = z + 4; s = g + 9; p = n + 14; h = e + 16; q = h + 12. If t = 4, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = z + 4 to s, which gives s = z + 13.\n2. Substitute z = q + 18 to s, which gives s = q + 31.\n3. Substitute q = h + 12 to s, which gives s = h + 43.\n4. Substitute h = e + 16 to s, which gives s = e + 59.\n5. Substitute e = t + 5 to s, which gives s = t + 64.\n6. Substitute t = 4 to s, which gives s = 68.\n\nThus, the final answer is s = \\boxed{68}.",
"index": 19203,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = p + 11; f = y + 3; t = 4; b = t + 16; z = q + 18; e = t + 5; n = b + 13; d = f + 2; g = z + 4; s = g + 9; p = n + 14; h = e + 16; q = h + 12. If t = 4, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"x": "k + 7", "a": "x + 13", "c": "a + 18", "m": "c + 16", "z": "m + 8", "n": "z + 6", "o": "k + 11", "s": "o + 12", "r": "s + 13", "u": "r + 6", "q": "u + 20", "b": "q + 3", "k": 17}, "premises": {"k": 17}, "target": "n"}, "answer": {"steps": [["z", "m + 8", "m + 14"], ["m", "c + 16", "c + 30"], ["c", "a + 18", "a + 48"], ["a", "x + 13", "x + 61"], ["x", "k + 7", "k + 68"], ["k", 17, "85"]], "target_var_name": "n", "target_value": 85, "value_dict": {"k": 17}, "is_reverse": true}} | 19,204 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = o + 12; u = r + 6; x = k + 7; a = x + 13; k = 17; o = k + 11; n = z + 6; z = m + 8; q = u + 20; r = s + 13; m = c + 16; b = q + 3; c = a + 18. If k = 17, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = m + 8 to n, which gives n = m + 14.\n2. Substitute m = c + 16 to n, which gives n = c + 30.\n3. Substitute c = a + 18 to n, which gives n = a + 48.\n4. Substitute a = x + 13 to n, which gives n = x + 61.\n5. Substitute x = k + 7 to n, which gives n = k + 68.\n6. Substitute k = 17 to n, which gives n = 85.\n\nThus, the final answer is n = \\boxed{85}.",
"index": 19204,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = o + 12; u = r + 6; x = k + 7; a = x + 13; k = 17; o = k + 11; n = z + 6; z = m + 8; q = u + 20; r = s + 13; m = c + 16; b = q + 3; c = a + 18. If k = 17, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"y": "g + 13", "v": "y + 18", "p": "v + 9", "s": "p + 2", "d": "s + 9", "q": "d + 13", "z": "g + 2", "n": "z + 10", "o": "n + 20", "t": "o + 17", "e": "t + 11", "k": "e + 10", "g": 1}, "premises": {"g": 1}, "target": "q"}, "answer": {"steps": [["d", "s + 9", "s + 22"], ["s", "p + 2", "p + 24"], ["p", "v + 9", "v + 33"], ["v", "y + 18", "y + 51"], ["y", "g + 13", "g + 64"], ["g", 1, "65"]], "target_var_name": "q", "target_value": 65, "value_dict": {"g": 1}, "is_reverse": true}} | 19,205 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = o + 17; n = z + 10; g = 1; o = n + 20; y = g + 13; q = d + 13; p = v + 9; s = p + 2; e = t + 11; d = s + 9; z = g + 2; k = e + 10; v = y + 18. If g = 1, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = s + 9 to q, which gives q = s + 22.\n2. Substitute s = p + 2 to q, which gives q = p + 24.\n3. Substitute p = v + 9 to q, which gives q = v + 33.\n4. Substitute v = y + 18 to q, which gives q = y + 51.\n5. Substitute y = g + 13 to q, which gives q = g + 64.\n6. Substitute g = 1 to q, which gives q = 65.\n\nThus, the final answer is q = \\boxed{65}.",
"index": 19205,
"question": "Consider a system of variables where each variable is defined as follows: t = o + 17; n = z + 10; g = 1; o = n + 20; y = g + 13; q = d + 13; p = v + 9; s = p + 2; e = t + 11; d = s + 9; z = g + 2; k = e + 10; v = y + 18. If g = 1, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"h": "c + 7", "s": "h + 20", "z": "s + 9", "r": "z + 5", "d": "r + 6", "m": "d + 14", "n": "c + 15", "t": "n + 14", "f": "t + 19", "u": "f + 16", "y": "u + 17", "i": "y + 12", "c": 3}, "premises": {"c": 3}, "target": "m"}, "answer": {"steps": [["d", "r + 6", "r + 20"], ["r", "z + 5", "z + 25"], ["z", "s + 9", "s + 34"], ["s", "h + 20", "h + 54"], ["h", "c + 7", "c + 61"], ["c", 3, "64"]], "target_var_name": "m", "target_value": 64, "value_dict": {"c": 3}, "is_reverse": true}} | 19,206 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = u + 17; t = n + 14; m = d + 14; d = r + 6; h = c + 7; f = t + 19; r = z + 5; n = c + 15; u = f + 16; s = h + 20; z = s + 9; i = y + 12; c = 3. Given that c = 3, find the 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 d = r + 6 to m, which gives m = r + 20.\n2. Substitute r = z + 5 to m, which gives m = z + 25.\n3. Substitute z = s + 9 to m, which gives m = s + 34.\n4. Substitute s = h + 20 to m, which gives m = h + 54.\n5. Substitute h = c + 7 to m, which gives m = c + 61.\n6. Substitute c = 3 to m, which gives m = 64.\n\nThus, the final answer is m = \\boxed{64}.",
"index": 19206,
"question": "Suppose a collection of variables is related by the following definitions: y = u + 17; t = n + 14; m = d + 14; d = r + 6; h = c + 7; f = t + 19; r = z + 5; n = c + 15; u = f + 16; s = h + 20; z = s + 9; i = y + 12; c = 3. Given that c = 3, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"o": "f + 1", "d": "o + 9", "r": "d + 3", "e": "r + 4", "z": "e + 19", "b": "z + 3", "g": "f + 10", "c": "g + 20", "m": "c + 18", "k": "m + 12", "h": "k + 2", "x": "h + 8", "f": 18}, "premises": {"f": 18}, "target": "b"}, "answer": {"steps": [["z", "e + 19", "e + 22"], ["e", "r + 4", "r + 26"], ["r", "d + 3", "d + 29"], ["d", "o + 9", "o + 38"], ["o", "f + 1", "f + 39"], ["f", 18, "57"]], "target_var_name": "b", "target_value": 57, "value_dict": {"f": 18}, "is_reverse": true}} | 19,207 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = r + 4; f = 18; g = f + 10; o = f + 1; h = k + 2; m = c + 18; k = m + 12; x = h + 8; d = o + 9; b = z + 3; c = g + 20; z = e + 19; r = d + 3. If f = 18, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = e + 19 to b, which gives b = e + 22.\n2. Substitute e = r + 4 to b, which gives b = r + 26.\n3. Substitute r = d + 3 to b, which gives b = d + 29.\n4. Substitute d = o + 9 to b, which gives b = o + 38.\n5. Substitute o = f + 1 to b, which gives b = f + 39.\n6. Substitute f = 18 to b, which gives b = 57.\n\nThus, the final answer is b = \\boxed{57}.",
"index": 19207,
"question": "Consider a system of variables where each variable is defined as follows: e = r + 4; f = 18; g = f + 10; o = f + 1; h = k + 2; m = c + 18; k = m + 12; x = h + 8; d = o + 9; b = z + 3; c = g + 20; z = e + 19; r = d + 3. If f = 18, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"o": "w + 5", "e": "o + 12", "i": "e + 12", "m": "i + 19", "g": "m + 6", "q": "g + 12", "b": "w + 10", "a": "b + 13", "y": "a + 14", "l": "y + 11", "x": "l + 17", "r": "x + 16", "w": 4}, "premises": {"w": 4}, "target": "q"}, "answer": {"steps": [["g", "m + 6", "m + 18"], ["m", "i + 19", "i + 37"], ["i", "e + 12", "e + 49"], ["e", "o + 12", "o + 61"], ["o", "w + 5", "w + 66"], ["w", 4, "70"]], "target_var_name": "q", "target_value": 70, "value_dict": {"w": 4}, "is_reverse": true}} | 19,208 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = m + 6; l = y + 11; e = o + 12; q = g + 12; r = x + 16; x = l + 17; m = i + 19; b = w + 10; w = 4; i = e + 12; a = b + 13; y = a + 14; o = w + 5. If w = 4, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = m + 6 to q, which gives q = m + 18.\n2. Substitute m = i + 19 to q, which gives q = i + 37.\n3. Substitute i = e + 12 to q, which gives q = e + 49.\n4. Substitute e = o + 12 to q, which gives q = o + 61.\n5. Substitute o = w + 5 to q, which gives q = w + 66.\n6. Substitute w = 4 to q, which gives q = 70.\n\nThus, the final answer is q = \\boxed{70}.",
"index": 19208,
"question": "Consider a system of variables where each variable is defined as follows: g = m + 6; l = y + 11; e = o + 12; q = g + 12; r = x + 16; x = l + 17; m = i + 19; b = w + 10; w = 4; i = e + 12; a = b + 13; y = a + 14; o = w + 5. If w = 4, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"b": "a + 20", "h": "b + 20", "w": "h + 12", "u": "w + 19", "m": "u + 3", "n": "m + 1", "q": "a + 18", "j": "q + 3", "e": "j + 1", "r": "e + 1", "f": "r + 19", "v": "f + 17", "a": 2}, "premises": {"a": 2}, "target": "n"}, "answer": {"steps": [["m", "u + 3", "u + 4"], ["u", "w + 19", "w + 23"], ["w", "h + 12", "h + 35"], ["h", "b + 20", "b + 55"], ["b", "a + 20", "a + 75"], ["a", 2, "77"]], "target_var_name": "n", "target_value": 77, "value_dict": {"a": 2}, "is_reverse": true}} | 19,209 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = b + 20; v = f + 17; f = r + 19; m = u + 3; r = e + 1; n = m + 1; e = j + 1; w = h + 12; a = 2; b = a + 20; q = a + 18; u = w + 19; j = q + 3. If a = 2, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = u + 3 to n, which gives n = u + 4.\n2. Substitute u = w + 19 to n, which gives n = w + 23.\n3. Substitute w = h + 12 to n, which gives n = h + 35.\n4. Substitute h = b + 20 to n, which gives n = b + 55.\n5. Substitute b = a + 20 to n, which gives n = a + 75.\n6. Substitute a = 2 to n, which gives n = 77.\n\nThus, the final answer is n = \\boxed{77}.",
"index": 19209,
"question": "Consider a system of variables where each variable is defined as follows: h = b + 20; v = f + 17; f = r + 19; m = u + 3; r = e + 1; n = m + 1; e = j + 1; w = h + 12; a = 2; b = a + 20; q = a + 18; u = w + 19; j = q + 3. If a = 2, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"l": "q + 9", "u": "l + 16", "e": "u + 16", "j": "e + 3", "k": "j + 12", "c": "k + 18", "r": "q + 10", "o": "r + 17", "n": "o + 17", "b": "n + 16", "f": "b + 3", "h": "f + 14", "q": 19}, "premises": {"q": 19}, "target": "c"}, "answer": {"steps": [["k", "j + 12", "j + 30"], ["j", "e + 3", "e + 33"], ["e", "u + 16", "u + 49"], ["u", "l + 16", "l + 65"], ["l", "q + 9", "q + 74"], ["q", 19, "93"]], "target_var_name": "c", "target_value": 93, "value_dict": {"q": 19}, "is_reverse": true}} | 19,210 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = e + 3; f = b + 3; r = q + 10; l = q + 9; n = o + 17; c = k + 18; q = 19; b = n + 16; h = f + 14; o = r + 17; e = u + 16; k = j + 12; u = l + 16. If q = 19, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = j + 12 to c, which gives c = j + 30.\n2. Substitute j = e + 3 to c, which gives c = e + 33.\n3. Substitute e = u + 16 to c, which gives c = u + 49.\n4. Substitute u = l + 16 to c, which gives c = l + 65.\n5. Substitute l = q + 9 to c, which gives c = q + 74.\n6. Substitute q = 19 to c, which gives c = 93.\n\nThus, the final answer is c = \\boxed{93}.",
"index": 19210,
"question": "Consider a system of variables where each variable is defined as follows: j = e + 3; f = b + 3; r = q + 10; l = q + 9; n = o + 17; c = k + 18; q = 19; b = n + 16; h = f + 14; o = r + 17; e = u + 16; k = j + 12; u = l + 16. If q = 19, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"i": "t + 10", "v": "i + 8", "s": "v + 17", "o": "s + 12", "n": "o + 8", "b": "n + 6", "g": "t + 16", "z": "g + 16", "k": "z + 20", "p": "k + 14", "q": "p + 16", "l": "q + 19", "t": 19}, "premises": {"t": 19}, "target": "b"}, "answer": {"steps": [["n", "o + 8", "o + 14"], ["o", "s + 12", "s + 26"], ["s", "v + 17", "v + 43"], ["v", "i + 8", "i + 51"], ["i", "t + 10", "t + 61"], ["t", 19, "80"]], "target_var_name": "b", "target_value": 80, "value_dict": {"t": 19}, "is_reverse": true}} | 19,211 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = v + 17; o = s + 12; q = p + 16; l = q + 19; i = t + 10; b = n + 6; v = i + 8; g = t + 16; n = o + 8; k = z + 20; p = k + 14; t = 19; z = g + 16. If t = 19, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = o + 8 to b, which gives b = o + 14.\n2. Substitute o = s + 12 to b, which gives b = s + 26.\n3. Substitute s = v + 17 to b, which gives b = v + 43.\n4. Substitute v = i + 8 to b, which gives b = i + 51.\n5. Substitute i = t + 10 to b, which gives b = t + 61.\n6. Substitute t = 19 to b, which gives b = 80.\n\nThus, the final answer is b = \\boxed{80}.",
"index": 19211,
"question": "Consider a system of variables where each variable is defined as follows: s = v + 17; o = s + 12; q = p + 16; l = q + 19; i = t + 10; b = n + 6; v = i + 8; g = t + 16; n = o + 8; k = z + 20; p = k + 14; t = 19; z = g + 16. If t = 19, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"t": "z + 20", "h": "t + 9", "k": "h + 16", "s": "k + 14", "x": "s + 16", "r": "x + 6", "y": "z + 17", "u": "y + 19", "m": "u + 9", "f": "m + 3", "c": "f + 17", "g": "c + 9", "z": 2}, "premises": {"z": 2}, "target": "r"}, "answer": {"steps": [["x", "s + 16", "s + 22"], ["s", "k + 14", "k + 36"], ["k", "h + 16", "h + 52"], ["h", "t + 9", "t + 61"], ["t", "z + 20", "z + 81"], ["z", 2, "83"]], "target_var_name": "r", "target_value": 83, "value_dict": {"z": 2}, "is_reverse": true}} | 19,212 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = c + 9; h = t + 9; r = x + 6; z = 2; k = h + 16; u = y + 19; f = m + 3; t = z + 20; y = z + 17; x = s + 16; s = k + 14; c = f + 17; m = u + 9. Given that z = 2, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = s + 16 to r, which gives r = s + 22.\n2. Substitute s = k + 14 to r, which gives r = k + 36.\n3. Substitute k = h + 16 to r, which gives r = h + 52.\n4. Substitute h = t + 9 to r, which gives r = t + 61.\n5. Substitute t = z + 20 to r, which gives r = z + 81.\n6. Substitute z = 2 to r, which gives r = 83.\n\nThus, the final answer is r = \\boxed{83}.",
"index": 19212,
"question": "Suppose a collection of variables is related by the following definitions: g = c + 9; h = t + 9; r = x + 6; z = 2; k = h + 16; u = y + 19; f = m + 3; t = z + 20; y = z + 17; x = s + 16; s = k + 14; c = f + 17; m = u + 9. Given that z = 2, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"o": "m + 8", "x": "o + 11", "w": "x + 11", "v": "w + 19", "y": "v + 17", "f": "y + 7", "p": "m + 15", "n": "p + 16", "c": "n + 18", "l": "c + 14", "b": "l + 11", "j": "b + 7", "m": 20}, "premises": {"m": 20}, "target": "f"}, "answer": {"steps": [["y", "v + 17", "v + 24"], ["v", "w + 19", "w + 43"], ["w", "x + 11", "x + 54"], ["x", "o + 11", "o + 65"], ["o", "m + 8", "m + 73"], ["m", 20, "93"]], "target_var_name": "f", "target_value": 93, "value_dict": {"m": 20}, "is_reverse": true}} | 19,213 | 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 = n + 18; w = x + 11; b = l + 11; f = y + 7; o = m + 8; x = o + 11; v = w + 19; j = b + 7; n = p + 16; m = 20; l = c + 14; y = v + 17; p = m + 15. If m = 20, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = v + 17 to f, which gives f = v + 24.\n2. Substitute v = w + 19 to f, which gives f = w + 43.\n3. Substitute w = x + 11 to f, which gives f = x + 54.\n4. Substitute x = o + 11 to f, which gives f = o + 65.\n5. Substitute o = m + 8 to f, which gives f = m + 73.\n6. Substitute m = 20 to f, which gives f = 93.\n\nThus, the final answer is f = \\boxed{93}.",
"index": 19213,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = n + 18; w = x + 11; b = l + 11; f = y + 7; o = m + 8; x = o + 11; v = w + 19; j = b + 7; n = p + 16; m = 20; l = c + 14; y = v + 17; p = m + 15. If m = 20, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"e": "a + 1", "p": "e + 12", "t": "p + 16", "f": "t + 2", "b": "f + 10", "y": "b + 18", "h": "a + 4", "u": "h + 11", "n": "u + 13", "k": "n + 6", "g": "k + 2", "d": "g + 18", "a": 6}, "premises": {"a": 6}, "target": "y"}, "answer": {"steps": [["b", "f + 10", "f + 28"], ["f", "t + 2", "t + 30"], ["t", "p + 16", "p + 46"], ["p", "e + 12", "e + 58"], ["e", "a + 1", "a + 59"], ["a", 6, "65"]], "target_var_name": "y", "target_value": 65, "value_dict": {"a": 6}, "is_reverse": true}} | 19,214 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = n + 6; u = h + 11; h = a + 4; y = b + 18; p = e + 12; e = a + 1; n = u + 13; a = 6; t = p + 16; b = f + 10; f = t + 2; d = g + 18; g = k + 2. Given that a = 6, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = f + 10 to y, which gives y = f + 28.\n2. Substitute f = t + 2 to y, which gives y = t + 30.\n3. Substitute t = p + 16 to y, which gives y = p + 46.\n4. Substitute p = e + 12 to y, which gives y = e + 58.\n5. Substitute e = a + 1 to y, which gives y = a + 59.\n6. Substitute a = 6 to y, which gives y = 65.\n\nThus, the final answer is y = \\boxed{65}.",
"index": 19214,
"question": "Suppose a collection of variables is related by the following definitions: k = n + 6; u = h + 11; h = a + 4; y = b + 18; p = e + 12; e = a + 1; n = u + 13; a = 6; t = p + 16; b = f + 10; f = t + 2; d = g + 18; g = k + 2. Given that a = 6, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"v": "k + 17", "t": "v + 13", "m": "t + 13", "y": "m + 17", "r": "y + 4", "b": "r + 13", "h": "k + 7", "a": "h + 16", "z": "a + 3", "o": "z + 20", "g": "o + 11", "c": "g + 5", "k": 4}, "premises": {"k": 4}, "target": "b"}, "answer": {"steps": [["r", "y + 4", "y + 17"], ["y", "m + 17", "m + 34"], ["m", "t + 13", "t + 47"], ["t", "v + 13", "v + 60"], ["v", "k + 17", "k + 77"], ["k", 4, "81"]], "target_var_name": "b", "target_value": 81, "value_dict": {"k": 4}, "is_reverse": true}} | 19,215 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = r + 13; k = 4; h = k + 7; c = g + 5; y = m + 17; r = y + 4; o = z + 20; a = h + 16; z = a + 3; g = o + 11; v = k + 17; m = t + 13; t = v + 13. If k = 4, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = y + 4 to b, which gives b = y + 17.\n2. Substitute y = m + 17 to b, which gives b = m + 34.\n3. Substitute m = t + 13 to b, which gives b = t + 47.\n4. Substitute t = v + 13 to b, which gives b = v + 60.\n5. Substitute v = k + 17 to b, which gives b = k + 77.\n6. Substitute k = 4 to b, which gives b = 81.\n\nThus, the final answer is b = \\boxed{81}.",
"index": 19215,
"question": "Consider a system of variables where each variable is defined as follows: b = r + 13; k = 4; h = k + 7; c = g + 5; y = m + 17; r = y + 4; o = z + 20; a = h + 16; z = a + 3; g = o + 11; v = k + 17; m = t + 13; t = v + 13. If k = 4, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"k": "y + 10", "e": "k + 17", "c": "e + 8", "s": "c + 9", "o": "s + 14", "i": "o + 5", "v": "y + 11", "l": "v + 11", "g": "l + 7", "u": "g + 1", "n": "u + 19", "h": "n + 2", "y": 20}, "premises": {"y": 20}, "target": "i"}, "answer": {"steps": [["o", "s + 14", "s + 19"], ["s", "c + 9", "c + 28"], ["c", "e + 8", "e + 36"], ["e", "k + 17", "k + 53"], ["k", "y + 10", "y + 63"], ["y", 20, "83"]], "target_var_name": "i", "target_value": 83, "value_dict": {"y": 20}, "is_reverse": true}} | 19,216 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = 20; e = k + 17; n = u + 19; c = e + 8; l = v + 11; s = c + 9; h = n + 2; v = y + 11; u = g + 1; o = s + 14; k = y + 10; i = o + 5; g = l + 7. Given that y = 20, 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 o = s + 14 to i, which gives i = s + 19.\n2. Substitute s = c + 9 to i, which gives i = c + 28.\n3. Substitute c = e + 8 to i, which gives i = e + 36.\n4. Substitute e = k + 17 to i, which gives i = k + 53.\n5. Substitute k = y + 10 to i, which gives i = y + 63.\n6. Substitute y = 20 to i, which gives i = 83.\n\nThus, the final answer is i = \\boxed{83}.",
"index": 19216,
"question": "Suppose a collection of variables is related by the following definitions: y = 20; e = k + 17; n = u + 19; c = e + 8; l = v + 11; s = c + 9; h = n + 2; v = y + 11; u = g + 1; o = s + 14; k = y + 10; i = o + 5; g = l + 7. Given that y = 20, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"x": "j + 15", "b": "x + 12", "m": "b + 16", "k": "m + 6", "y": "k + 16", "s": "y + 3", "q": "j + 14", "e": "q + 18", "w": "e + 15", "c": "w + 15", "n": "c + 7", "i": "n + 1", "j": 10}, "premises": {"j": 10}, "target": "s"}, "answer": {"steps": [["y", "k + 16", "k + 19"], ["k", "m + 6", "m + 25"], ["m", "b + 16", "b + 41"], ["b", "x + 12", "x + 53"], ["x", "j + 15", "j + 68"], ["j", 10, "78"]], "target_var_name": "s", "target_value": 78, "value_dict": {"j": 10}, "is_reverse": true}} | 19,217 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = q + 18; n = c + 7; s = y + 3; y = k + 16; m = b + 16; b = x + 12; k = m + 6; x = j + 15; i = n + 1; q = j + 14; j = 10; w = e + 15; c = w + 15. If j = 10, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = k + 16 to s, which gives s = k + 19.\n2. Substitute k = m + 6 to s, which gives s = m + 25.\n3. Substitute m = b + 16 to s, which gives s = b + 41.\n4. Substitute b = x + 12 to s, which gives s = x + 53.\n5. Substitute x = j + 15 to s, which gives s = j + 68.\n6. Substitute j = 10 to s, which gives s = 78.\n\nThus, the final answer is s = \\boxed{78}.",
"index": 19217,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = q + 18; n = c + 7; s = y + 3; y = k + 16; m = b + 16; b = x + 12; k = m + 6; x = j + 15; i = n + 1; q = j + 14; j = 10; w = e + 15; c = w + 15. If j = 10, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"z": "q + 10", "n": "z + 16", "c": "n + 1", "k": "c + 12", "j": "k + 14", "x": "j + 2", "y": "q + 19", "h": "y + 16", "e": "h + 12", "b": "e + 12", "f": "b + 19", "v": "f + 12", "q": 10}, "premises": {"q": 10}, "target": "x"}, "answer": {"steps": [["j", "k + 14", "k + 16"], ["k", "c + 12", "c + 28"], ["c", "n + 1", "n + 29"], ["n", "z + 16", "z + 45"], ["z", "q + 10", "q + 55"], ["q", 10, "65"]], "target_var_name": "x", "target_value": 65, "value_dict": {"q": 10}, "is_reverse": true}} | 19,218 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = c + 12; c = n + 1; j = k + 14; y = q + 19; n = z + 16; q = 10; h = y + 16; x = j + 2; f = b + 19; z = q + 10; b = e + 12; v = f + 12; e = h + 12. Given that q = 10, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = k + 14 to x, which gives x = k + 16.\n2. Substitute k = c + 12 to x, which gives x = c + 28.\n3. Substitute c = n + 1 to x, which gives x = n + 29.\n4. Substitute n = z + 16 to x, which gives x = z + 45.\n5. Substitute z = q + 10 to x, which gives x = q + 55.\n6. Substitute q = 10 to x, which gives x = 65.\n\nThus, the final answer is x = \\boxed{65}.",
"index": 19218,
"question": "Suppose a collection of variables is related by the following definitions: k = c + 12; c = n + 1; j = k + 14; y = q + 19; n = z + 16; q = 10; h = y + 16; x = j + 2; f = b + 19; z = q + 10; b = e + 12; v = f + 12; e = h + 12. Given that q = 10, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"i": "g + 10", "e": "i + 17", "z": "e + 11", "j": "z + 8", "k": "j + 17", "a": "k + 4", "o": "g + 16", "r": "o + 3", "w": "r + 17", "n": "w + 12", "m": "n + 5", "c": "m + 17", "g": 10}, "premises": {"g": 10}, "target": "a"}, "answer": {"steps": [["k", "j + 17", "j + 21"], ["j", "z + 8", "z + 29"], ["z", "e + 11", "e + 40"], ["e", "i + 17", "i + 57"], ["i", "g + 10", "g + 67"], ["g", 10, "77"]], "target_var_name": "a", "target_value": 77, "value_dict": {"g": 10}, "is_reverse": true}} | 19,219 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = r + 17; j = z + 8; m = n + 5; n = w + 12; z = e + 11; a = k + 4; i = g + 10; g = 10; k = j + 17; o = g + 16; e = i + 17; c = m + 17; r = o + 3. If g = 10, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = j + 17 to a, which gives a = j + 21.\n2. Substitute j = z + 8 to a, which gives a = z + 29.\n3. Substitute z = e + 11 to a, which gives a = e + 40.\n4. Substitute e = i + 17 to a, which gives a = i + 57.\n5. Substitute i = g + 10 to a, which gives a = g + 67.\n6. Substitute g = 10 to a, which gives a = 77.\n\nThus, the final answer is a = \\boxed{77}.",
"index": 19219,
"question": "Consider a system of variables where each variable is defined as follows: w = r + 17; j = z + 8; m = n + 5; n = w + 12; z = e + 11; a = k + 4; i = g + 10; g = 10; k = j + 17; o = g + 16; e = i + 17; c = m + 17; r = o + 3. If g = 10, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"t": "d + 7", "c": "t + 1", "a": "c + 15", "h": "a + 8", "j": "h + 10", "k": "j + 6", "q": "d + 6", "i": "q + 13", "f": "i + 8", "u": "f + 8", "r": "u + 2", "n": "r + 18", "d": 9}, "premises": {"d": 9}, "target": "k"}, "answer": {"steps": [["j", "h + 10", "h + 16"], ["h", "a + 8", "a + 24"], ["a", "c + 15", "c + 39"], ["c", "t + 1", "t + 40"], ["t", "d + 7", "d + 47"], ["d", 9, "56"]], "target_var_name": "k", "target_value": 56, "value_dict": {"d": 9}, "is_reverse": true}} | 19,220 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = t + 1; n = r + 18; i = q + 13; f = i + 8; k = j + 6; t = d + 7; q = d + 6; a = c + 15; h = a + 8; r = u + 2; j = h + 10; d = 9; u = f + 8. Given that d = 9, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = h + 10 to k, which gives k = h + 16.\n2. Substitute h = a + 8 to k, which gives k = a + 24.\n3. Substitute a = c + 15 to k, which gives k = c + 39.\n4. Substitute c = t + 1 to k, which gives k = t + 40.\n5. Substitute t = d + 7 to k, which gives k = d + 47.\n6. Substitute d = 9 to k, which gives k = 56.\n\nThus, the final answer is k = \\boxed{56}.",
"index": 19220,
"question": "Suppose a collection of variables is related by the following definitions: c = t + 1; n = r + 18; i = q + 13; f = i + 8; k = j + 6; t = d + 7; q = d + 6; a = c + 15; h = a + 8; r = u + 2; j = h + 10; d = 9; u = f + 8. Given that d = 9, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"q": "n + 19", "l": "q + 2", "w": "l + 8", "r": "w + 18", "h": "r + 10", "z": "h + 10", "g": "n + 14", "u": "g + 10", "k": "u + 12", "m": "k + 20", "t": "m + 11", "y": "t + 18", "n": 18}, "premises": {"n": 18}, "target": "z"}, "answer": {"steps": [["h", "r + 10", "r + 20"], ["r", "w + 18", "w + 38"], ["w", "l + 8", "l + 46"], ["l", "q + 2", "q + 48"], ["q", "n + 19", "n + 67"], ["n", 18, "85"]], "target_var_name": "z", "target_value": 85, "value_dict": {"n": 18}, "is_reverse": true}} | 19,221 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = l + 8; y = t + 18; g = n + 14; t = m + 11; k = u + 12; q = n + 19; r = w + 18; n = 18; h = r + 10; m = k + 20; u = g + 10; l = q + 2; z = h + 10. Given that n = 18, find the 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 h = r + 10 to z, which gives z = r + 20.\n2. Substitute r = w + 18 to z, which gives z = w + 38.\n3. Substitute w = l + 8 to z, which gives z = l + 46.\n4. Substitute l = q + 2 to z, which gives z = q + 48.\n5. Substitute q = n + 19 to z, which gives z = n + 67.\n6. Substitute n = 18 to z, which gives z = 85.\n\nThus, the final answer is z = \\boxed{85}.",
"index": 19221,
"question": "Suppose a collection of variables is related by the following definitions: w = l + 8; y = t + 18; g = n + 14; t = m + 11; k = u + 12; q = n + 19; r = w + 18; n = 18; h = r + 10; m = k + 20; u = g + 10; l = q + 2; z = h + 10. Given that n = 18, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"z": "j + 5", "b": "z + 8", "t": "b + 16", "k": "t + 17", "q": "k + 14", "f": "q + 13", "o": "j + 19", "w": "o + 5", "g": "w + 19", "u": "g + 14", "d": "u + 17", "p": "d + 13", "j": 19}, "premises": {"j": 19}, "target": "f"}, "answer": {"steps": [["q", "k + 14", "k + 27"], ["k", "t + 17", "t + 44"], ["t", "b + 16", "b + 60"], ["b", "z + 8", "z + 68"], ["z", "j + 5", "j + 73"], ["j", 19, "92"]], "target_var_name": "f", "target_value": 92, "value_dict": {"j": 19}, "is_reverse": true}} | 19,222 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = d + 13; q = k + 14; t = b + 16; b = z + 8; o = j + 19; z = j + 5; u = g + 14; k = t + 17; g = w + 19; f = q + 13; d = u + 17; j = 19; w = o + 5. If j = 19, 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 q = k + 14 to f, which gives f = k + 27.\n2. Substitute k = t + 17 to f, which gives f = t + 44.\n3. Substitute t = b + 16 to f, which gives f = b + 60.\n4. Substitute b = z + 8 to f, which gives f = z + 68.\n5. Substitute z = j + 5 to f, which gives f = j + 73.\n6. Substitute j = 19 to f, which gives f = 92.\n\nThus, the final answer is f = \\boxed{92}.",
"index": 19222,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = d + 13; q = k + 14; t = b + 16; b = z + 8; o = j + 19; z = j + 5; u = g + 14; k = t + 17; g = w + 19; f = q + 13; d = u + 17; j = 19; w = o + 5. If j = 19, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"t": "w + 5", "c": "t + 18", "q": "c + 7", "y": "q + 12", "a": "y + 1", "o": "a + 14", "m": "w + 16", "v": "m + 7", "e": "v + 3", "u": "e + 4", "f": "u + 17", "h": "f + 10", "w": 9}, "premises": {"w": 9}, "target": "o"}, "answer": {"steps": [["a", "y + 1", "y + 15"], ["y", "q + 12", "q + 27"], ["q", "c + 7", "c + 34"], ["c", "t + 18", "t + 52"], ["t", "w + 5", "w + 57"], ["w", 9, "66"]], "target_var_name": "o", "target_value": 66, "value_dict": {"w": 9}, "is_reverse": true}} | 19,223 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = u + 17; q = c + 7; o = a + 14; c = t + 18; e = v + 3; m = w + 16; u = e + 4; a = y + 1; v = m + 7; y = q + 12; h = f + 10; w = 9; t = w + 5. If w = 9, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = y + 1 to o, which gives o = y + 15.\n2. Substitute y = q + 12 to o, which gives o = q + 27.\n3. Substitute q = c + 7 to o, which gives o = c + 34.\n4. Substitute c = t + 18 to o, which gives o = t + 52.\n5. Substitute t = w + 5 to o, which gives o = w + 57.\n6. Substitute w = 9 to o, which gives o = 66.\n\nThus, the final answer is o = \\boxed{66}.",
"index": 19223,
"question": "Consider a system of variables where each variable is defined as follows: f = u + 17; q = c + 7; o = a + 14; c = t + 18; e = v + 3; m = w + 16; u = e + 4; a = y + 1; v = m + 7; y = q + 12; h = f + 10; w = 9; t = w + 5. If w = 9, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"b": "w + 2", "e": "b + 10", "q": "e + 10", "a": "q + 18", "f": "a + 3", "r": "f + 5", "i": "w + 10", "x": "i + 13", "z": "x + 1", "c": "z + 20", "j": "c + 11", "u": "j + 9", "w": 4}, "premises": {"w": 4}, "target": "r"}, "answer": {"steps": [["f", "a + 3", "a + 8"], ["a", "q + 18", "q + 26"], ["q", "e + 10", "e + 36"], ["e", "b + 10", "b + 46"], ["b", "w + 2", "w + 48"], ["w", 4, "52"]], "target_var_name": "r", "target_value": 52, "value_dict": {"w": 4}, "is_reverse": true}} | 19,224 | 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 + 10; a = q + 18; w = 4; q = e + 10; z = x + 1; u = j + 9; e = b + 10; c = z + 20; j = c + 11; f = a + 3; b = w + 2; r = f + 5; x = i + 13. If w = 4, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = a + 3 to r, which gives r = a + 8.\n2. Substitute a = q + 18 to r, which gives r = q + 26.\n3. Substitute q = e + 10 to r, which gives r = e + 36.\n4. Substitute e = b + 10 to r, which gives r = b + 46.\n5. Substitute b = w + 2 to r, which gives r = w + 48.\n6. Substitute w = 4 to r, which gives r = 52.\n\nThus, the final answer is r = \\boxed{52}.",
"index": 19224,
"question": "Consider a system of variables where each variable is defined as follows: i = w + 10; a = q + 18; w = 4; q = e + 10; z = x + 1; u = j + 9; e = b + 10; c = z + 20; j = c + 11; f = a + 3; b = w + 2; r = f + 5; x = i + 13. If w = 4, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"t": "c + 8", "v": "t + 5", "u": "v + 9", "g": "u + 14", "d": "g + 1", "z": "d + 14", "s": "c + 15", "h": "s + 19", "f": "h + 12", "l": "f + 3", "e": "l + 17", "i": "e + 16", "c": 9}, "premises": {"c": 9}, "target": "z"}, "answer": {"steps": [["d", "g + 1", "g + 15"], ["g", "u + 14", "u + 29"], ["u", "v + 9", "v + 38"], ["v", "t + 5", "t + 43"], ["t", "c + 8", "c + 51"], ["c", 9, "60"]], "target_var_name": "z", "target_value": 60, "value_dict": {"c": 9}, "is_reverse": true}} | 19,225 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = u + 14; i = e + 16; s = c + 15; z = d + 14; f = h + 12; e = l + 17; l = f + 3; v = t + 5; t = c + 8; d = g + 1; h = s + 19; c = 9; u = v + 9. If c = 9, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = g + 1 to z, which gives z = g + 15.\n2. Substitute g = u + 14 to z, which gives z = u + 29.\n3. Substitute u = v + 9 to z, which gives z = v + 38.\n4. Substitute v = t + 5 to z, which gives z = t + 43.\n5. Substitute t = c + 8 to z, which gives z = c + 51.\n6. Substitute c = 9 to z, which gives z = 60.\n\nThus, the final answer is z = \\boxed{60}.",
"index": 19225,
"question": "Consider a system of variables where each variable is defined as follows: g = u + 14; i = e + 16; s = c + 15; z = d + 14; f = h + 12; e = l + 17; l = f + 3; v = t + 5; t = c + 8; d = g + 1; h = s + 19; c = 9; u = v + 9. If c = 9, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"b": "n + 11", "q": "b + 14", "x": "q + 9", "d": "x + 11", "y": "d + 6", "p": "y + 1", "w": "n + 19", "l": "w + 2", "v": "l + 17", "e": "v + 11", "f": "e + 1", "t": "f + 17", "n": 16}, "premises": {"n": 16}, "target": "p"}, "answer": {"steps": [["y", "d + 6", "d + 7"], ["d", "x + 11", "x + 18"], ["x", "q + 9", "q + 27"], ["q", "b + 14", "b + 41"], ["b", "n + 11", "n + 52"], ["n", 16, "68"]], "target_var_name": "p", "target_value": 68, "value_dict": {"n": 16}, "is_reverse": true}} | 19,226 | 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 = b + 14; f = e + 1; b = n + 11; l = w + 2; d = x + 11; n = 16; p = y + 1; x = q + 9; t = f + 17; e = v + 11; w = n + 19; v = l + 17; y = d + 6. If n = 16, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = d + 6 to p, which gives p = d + 7.\n2. Substitute d = x + 11 to p, which gives p = x + 18.\n3. Substitute x = q + 9 to p, which gives p = q + 27.\n4. Substitute q = b + 14 to p, which gives p = b + 41.\n5. Substitute b = n + 11 to p, which gives p = n + 52.\n6. Substitute n = 16 to p, which gives p = 68.\n\nThus, the final answer is p = \\boxed{68}.",
"index": 19226,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = b + 14; f = e + 1; b = n + 11; l = w + 2; d = x + 11; n = 16; p = y + 1; x = q + 9; t = f + 17; e = v + 11; w = n + 19; v = l + 17; y = d + 6. If n = 16, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"c": "p + 18", "h": "c + 6", "f": "h + 7", "g": "f + 10", "o": "g + 1", "w": "o + 5", "y": "p + 10", "q": "y + 20", "u": "q + 5", "a": "u + 12", "z": "a + 2", "x": "z + 19", "p": 11}, "premises": {"p": 11}, "target": "w"}, "answer": {"steps": [["o", "g + 1", "g + 6"], ["g", "f + 10", "f + 16"], ["f", "h + 7", "h + 23"], ["h", "c + 6", "c + 29"], ["c", "p + 18", "p + 47"], ["p", 11, "58"]], "target_var_name": "w", "target_value": 58, "value_dict": {"p": 11}, "is_reverse": true}} | 19,227 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = c + 6; o = g + 1; q = y + 20; w = o + 5; f = h + 7; z = a + 2; p = 11; x = z + 19; c = p + 18; y = p + 10; a = u + 12; u = q + 5; g = f + 10. If p = 11, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = g + 1 to w, which gives w = g + 6.\n2. Substitute g = f + 10 to w, which gives w = f + 16.\n3. Substitute f = h + 7 to w, which gives w = h + 23.\n4. Substitute h = c + 6 to w, which gives w = c + 29.\n5. Substitute c = p + 18 to w, which gives w = p + 47.\n6. Substitute p = 11 to w, which gives w = 58.\n\nThus, the final answer is w = \\boxed{58}.",
"index": 19227,
"question": "Consider a system of variables where each variable is defined as follows: h = c + 6; o = g + 1; q = y + 20; w = o + 5; f = h + 7; z = a + 2; p = 11; x = z + 19; c = p + 18; y = p + 10; a = u + 12; u = q + 5; g = f + 10. If p = 11, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"y": "l + 19", "j": "y + 19", "c": "j + 5", "h": "c + 19", "r": "h + 6", "k": "r + 11", "x": "l + 15", "o": "x + 1", "t": "o + 19", "z": "t + 6", "v": "z + 4", "q": "v + 20", "l": 1}, "premises": {"l": 1}, "target": "k"}, "answer": {"steps": [["r", "h + 6", "h + 17"], ["h", "c + 19", "c + 36"], ["c", "j + 5", "j + 41"], ["j", "y + 19", "y + 60"], ["y", "l + 19", "l + 79"], ["l", 1, "80"]], "target_var_name": "k", "target_value": 80, "value_dict": {"l": 1}, "is_reverse": true}} | 19,228 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = o + 19; x = l + 15; o = x + 1; y = l + 19; q = v + 20; j = y + 19; c = j + 5; k = r + 11; z = t + 6; r = h + 6; h = c + 19; v = z + 4; l = 1. If l = 1, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = h + 6 to k, which gives k = h + 17.\n2. Substitute h = c + 19 to k, which gives k = c + 36.\n3. Substitute c = j + 5 to k, which gives k = j + 41.\n4. Substitute j = y + 19 to k, which gives k = y + 60.\n5. Substitute y = l + 19 to k, which gives k = l + 79.\n6. Substitute l = 1 to k, which gives k = 80.\n\nThus, the final answer is k = \\boxed{80}.",
"index": 19228,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = o + 19; x = l + 15; o = x + 1; y = l + 19; q = v + 20; j = y + 19; c = j + 5; k = r + 11; z = t + 6; r = h + 6; h = c + 19; v = z + 4; l = 1. If l = 1, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"o": "u + 17", "m": "o + 1", "v": "m + 20", "a": "v + 19", "l": "a + 14", "p": "l + 20", "j": "u + 8", "i": "j + 4", "n": "i + 14", "z": "n + 11", "c": "z + 4", "h": "c + 1", "u": 4}, "premises": {"u": 4}, "target": "p"}, "answer": {"steps": [["l", "a + 14", "a + 34"], ["a", "v + 19", "v + 53"], ["v", "m + 20", "m + 73"], ["m", "o + 1", "o + 74"], ["o", "u + 17", "u + 91"], ["u", 4, "95"]], "target_var_name": "p", "target_value": 95, "value_dict": {"u": 4}, "is_reverse": true}} | 19,229 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = a + 14; m = o + 1; i = j + 4; z = n + 11; c = z + 4; n = i + 14; j = u + 8; v = m + 20; a = v + 19; h = c + 1; u = 4; p = l + 20; o = u + 17. If u = 4, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = a + 14 to p, which gives p = a + 34.\n2. Substitute a = v + 19 to p, which gives p = v + 53.\n3. Substitute v = m + 20 to p, which gives p = m + 73.\n4. Substitute m = o + 1 to p, which gives p = o + 74.\n5. Substitute o = u + 17 to p, which gives p = u + 91.\n6. Substitute u = 4 to p, which gives p = 95.\n\nThus, the final answer is p = \\boxed{95}.",
"index": 19229,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = a + 14; m = o + 1; i = j + 4; z = n + 11; c = z + 4; n = i + 14; j = u + 8; v = m + 20; a = v + 19; h = c + 1; u = 4; p = l + 20; o = u + 17. If u = 4, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"n": "j + 10", "d": "n + 4", "c": "d + 18", "o": "c + 17", "s": "o + 12", "g": "s + 12", "x": "j + 14", "i": "x + 1", "y": "i + 17", "v": "y + 7", "f": "v + 17", "h": "f + 20", "j": 1}, "premises": {"j": 1}, "target": "g"}, "answer": {"steps": [["s", "o + 12", "o + 24"], ["o", "c + 17", "c + 41"], ["c", "d + 18", "d + 59"], ["d", "n + 4", "n + 63"], ["n", "j + 10", "j + 73"], ["j", 1, "74"]], "target_var_name": "g", "target_value": 74, "value_dict": {"j": 1}, "is_reverse": true}} | 19,230 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = f + 20; f = v + 17; y = i + 17; s = o + 12; v = y + 7; c = d + 18; g = s + 12; x = j + 14; n = j + 10; i = x + 1; d = n + 4; o = c + 17; j = 1. If j = 1, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = o + 12 to g, which gives g = o + 24.\n2. Substitute o = c + 17 to g, which gives g = c + 41.\n3. Substitute c = d + 18 to g, which gives g = d + 59.\n4. Substitute d = n + 4 to g, which gives g = n + 63.\n5. Substitute n = j + 10 to g, which gives g = j + 73.\n6. Substitute j = 1 to g, which gives g = 74.\n\nThus, the final answer is g = \\boxed{74}.",
"index": 19230,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = f + 20; f = v + 17; y = i + 17; s = o + 12; v = y + 7; c = d + 18; g = s + 12; x = j + 14; n = j + 10; i = x + 1; d = n + 4; o = c + 17; j = 1. If j = 1, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"o": "u + 14", "e": "o + 20", "r": "e + 2", "j": "r + 9", "z": "j + 15", "t": "z + 2", "a": "u + 13", "p": "a + 2", "h": "p + 16", "n": "h + 16", "v": "n + 8", "q": "v + 9", "u": 16}, "premises": {"u": 16}, "target": "t"}, "answer": {"steps": [["z", "j + 15", "j + 17"], ["j", "r + 9", "r + 26"], ["r", "e + 2", "e + 28"], ["e", "o + 20", "o + 48"], ["o", "u + 14", "u + 62"], ["u", 16, "78"]], "target_var_name": "t", "target_value": 78, "value_dict": {"u": 16}, "is_reverse": true}} | 19,231 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = n + 8; t = z + 2; r = e + 2; o = u + 14; j = r + 9; h = p + 16; q = v + 9; p = a + 2; z = j + 15; n = h + 16; u = 16; a = u + 13; e = o + 20. If u = 16, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = j + 15 to t, which gives t = j + 17.\n2. Substitute j = r + 9 to t, which gives t = r + 26.\n3. Substitute r = e + 2 to t, which gives t = e + 28.\n4. Substitute e = o + 20 to t, which gives t = o + 48.\n5. Substitute o = u + 14 to t, which gives t = u + 62.\n6. Substitute u = 16 to t, which gives t = 78.\n\nThus, the final answer is t = \\boxed{78}.",
"index": 19231,
"question": "Consider a system of variables where each variable is defined as follows: v = n + 8; t = z + 2; r = e + 2; o = u + 14; j = r + 9; h = p + 16; q = v + 9; p = a + 2; z = j + 15; n = h + 16; u = 16; a = u + 13; e = o + 20. If u = 16, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"g": "o + 18", "r": "g + 19", "e": "r + 4", "m": "e + 20", "y": "m + 20", "s": "y + 5", "u": "o + 18", "j": "u + 12", "b": "j + 12", "c": "b + 15", "i": "c + 7", "p": "i + 15", "o": 6}, "premises": {"o": 6}, "target": "s"}, "answer": {"steps": [["y", "m + 20", "m + 25"], ["m", "e + 20", "e + 45"], ["e", "r + 4", "r + 49"], ["r", "g + 19", "g + 68"], ["g", "o + 18", "o + 86"], ["o", 6, "92"]], "target_var_name": "s", "target_value": 92, "value_dict": {"o": 6}, "is_reverse": true}} | 19,232 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = c + 7; p = i + 15; g = o + 18; y = m + 20; j = u + 12; o = 6; m = e + 20; e = r + 4; b = j + 12; u = o + 18; s = y + 5; c = b + 15; r = g + 19. If o = 6, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = m + 20 to s, which gives s = m + 25.\n2. Substitute m = e + 20 to s, which gives s = e + 45.\n3. Substitute e = r + 4 to s, which gives s = r + 49.\n4. Substitute r = g + 19 to s, which gives s = g + 68.\n5. Substitute g = o + 18 to s, which gives s = o + 86.\n6. Substitute o = 6 to s, which gives s = 92.\n\nThus, the final answer is s = \\boxed{92}.",
"index": 19232,
"question": "Consider a system of variables where each variable is defined as follows: i = c + 7; p = i + 15; g = o + 18; y = m + 20; j = u + 12; o = 6; m = e + 20; e = r + 4; b = j + 12; u = o + 18; s = y + 5; c = b + 15; r = g + 19. If o = 6, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"j": "c + 19", "l": "j + 16", "x": "l + 2", "u": "x + 19", "a": "u + 5", "o": "a + 15", "t": "c + 11", "m": "t + 8", "h": "m + 6", "i": "h + 20", "e": "i + 11", "f": "e + 20", "c": 7}, "premises": {"c": 7}, "target": "o"}, "answer": {"steps": [["a", "u + 5", "u + 20"], ["u", "x + 19", "x + 39"], ["x", "l + 2", "l + 41"], ["l", "j + 16", "j + 57"], ["j", "c + 19", "c + 76"], ["c", 7, "83"]], "target_var_name": "o", "target_value": 83, "value_dict": {"c": 7}, "is_reverse": true}} | 19,233 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = t + 8; i = h + 20; h = m + 6; c = 7; l = j + 16; j = c + 19; e = i + 11; a = u + 5; o = a + 15; f = e + 20; u = x + 19; t = c + 11; x = l + 2. If c = 7, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = u + 5 to o, which gives o = u + 20.\n2. Substitute u = x + 19 to o, which gives o = x + 39.\n3. Substitute x = l + 2 to o, which gives o = l + 41.\n4. Substitute l = j + 16 to o, which gives o = j + 57.\n5. Substitute j = c + 19 to o, which gives o = c + 76.\n6. Substitute c = 7 to o, which gives o = 83.\n\nThus, the final answer is o = \\boxed{83}.",
"index": 19233,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = t + 8; i = h + 20; h = m + 6; c = 7; l = j + 16; j = c + 19; e = i + 11; a = u + 5; o = a + 15; f = e + 20; u = x + 19; t = c + 11; x = l + 2. If c = 7, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"k": "x + 3", "z": "k + 10", "n": "z + 16", "c": "n + 6", "o": "c + 9", "j": "o + 3", "m": "x + 4", "l": "m + 13", "r": "l + 20", "p": "r + 8", "f": "p + 5", "d": "f + 6", "x": 9}, "premises": {"x": 9}, "target": "j"}, "answer": {"steps": [["o", "c + 9", "c + 12"], ["c", "n + 6", "n + 18"], ["n", "z + 16", "z + 34"], ["z", "k + 10", "k + 44"], ["k", "x + 3", "x + 47"], ["x", 9, "56"]], "target_var_name": "j", "target_value": 56, "value_dict": {"x": 9}, "is_reverse": true}} | 19,234 | 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 + 13; p = r + 8; x = 9; r = l + 20; z = k + 10; c = n + 6; d = f + 6; k = x + 3; f = p + 5; o = c + 9; j = o + 3; n = z + 16; m = x + 4. If x = 9, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = c + 9 to j, which gives j = c + 12.\n2. Substitute c = n + 6 to j, which gives j = n + 18.\n3. Substitute n = z + 16 to j, which gives j = z + 34.\n4. Substitute z = k + 10 to j, which gives j = k + 44.\n5. Substitute k = x + 3 to j, which gives j = x + 47.\n6. Substitute x = 9 to j, which gives j = 56.\n\nThus, the final answer is j = \\boxed{56}.",
"index": 19234,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = m + 13; p = r + 8; x = 9; r = l + 20; z = k + 10; c = n + 6; d = f + 6; k = x + 3; f = p + 5; o = c + 9; j = o + 3; n = z + 16; m = x + 4. If x = 9, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"k": "h + 18", "z": "k + 13", "w": "z + 17", "m": "w + 9", "e": "m + 8", "o": "e + 7", "q": "h + 7", "s": "q + 1", "p": "s + 3", "v": "p + 2", "f": "v + 14", "g": "f + 7", "h": 15}, "premises": {"h": 15}, "target": "o"}, "answer": {"steps": [["e", "m + 8", "m + 15"], ["m", "w + 9", "w + 24"], ["w", "z + 17", "z + 41"], ["z", "k + 13", "k + 54"], ["k", "h + 18", "h + 72"], ["h", 15, "87"]], "target_var_name": "o", "target_value": 87, "value_dict": {"h": 15}, "is_reverse": true}} | 19,235 | 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 = p + 2; z = k + 13; m = w + 9; h = 15; q = h + 7; p = s + 3; f = v + 14; s = q + 1; e = m + 8; k = h + 18; o = e + 7; g = f + 7; w = z + 17. If h = 15, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = m + 8 to o, which gives o = m + 15.\n2. Substitute m = w + 9 to o, which gives o = w + 24.\n3. Substitute w = z + 17 to o, which gives o = z + 41.\n4. Substitute z = k + 13 to o, which gives o = k + 54.\n5. Substitute k = h + 18 to o, which gives o = h + 72.\n6. Substitute h = 15 to o, which gives o = 87.\n\nThus, the final answer is o = \\boxed{87}.",
"index": 19235,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = p + 2; z = k + 13; m = w + 9; h = 15; q = h + 7; p = s + 3; f = v + 14; s = q + 1; e = m + 8; k = h + 18; o = e + 7; g = f + 7; w = z + 17. If h = 15, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"w": "s + 20", "c": "w + 15", "g": "c + 4", "z": "g + 4", "q": "z + 1", "d": "q + 12", "a": "s + 8", "f": "a + 12", "o": "f + 3", "j": "o + 13", "i": "j + 15", "l": "i + 6", "s": 12}, "premises": {"s": 12}, "target": "d"}, "answer": {"steps": [["q", "z + 1", "z + 13"], ["z", "g + 4", "g + 17"], ["g", "c + 4", "c + 21"], ["c", "w + 15", "w + 36"], ["w", "s + 20", "s + 56"], ["s", 12, "68"]], "target_var_name": "d", "target_value": 68, "value_dict": {"s": 12}, "is_reverse": true}} | 19,236 | 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 = w + 15; i = j + 15; d = q + 12; w = s + 20; s = 12; a = s + 8; j = o + 13; q = z + 1; f = a + 12; z = g + 4; o = f + 3; g = c + 4; l = i + 6. If s = 12, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = z + 1 to d, which gives d = z + 13.\n2. Substitute z = g + 4 to d, which gives d = g + 17.\n3. Substitute g = c + 4 to d, which gives d = c + 21.\n4. Substitute c = w + 15 to d, which gives d = w + 36.\n5. Substitute w = s + 20 to d, which gives d = s + 56.\n6. Substitute s = 12 to d, which gives d = 68.\n\nThus, the final answer is d = \\boxed{68}.",
"index": 19236,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = w + 15; i = j + 15; d = q + 12; w = s + 20; s = 12; a = s + 8; j = o + 13; q = z + 1; f = a + 12; z = g + 4; o = f + 3; g = c + 4; l = i + 6. If s = 12, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"h": "x + 7", "k": "h + 14", "q": "k + 15", "s": "q + 6", "y": "s + 11", "i": "y + 15", "u": "x + 13", "w": "u + 11", "l": "w + 6", "z": "l + 3", "e": "z + 18", "m": "e + 6", "x": 17}, "premises": {"x": 17}, "target": "i"}, "answer": {"steps": [["y", "s + 11", "s + 26"], ["s", "q + 6", "q + 32"], ["q", "k + 15", "k + 47"], ["k", "h + 14", "h + 61"], ["h", "x + 7", "x + 68"], ["x", 17, "85"]], "target_var_name": "i", "target_value": 85, "value_dict": {"x": 17}, "is_reverse": true}} | 19,237 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = s + 11; l = w + 6; s = q + 6; m = e + 6; h = x + 7; u = x + 13; q = k + 15; x = 17; k = h + 14; z = l + 3; w = u + 11; i = y + 15; e = z + 18. If x = 17, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = s + 11 to i, which gives i = s + 26.\n2. Substitute s = q + 6 to i, which gives i = q + 32.\n3. Substitute q = k + 15 to i, which gives i = k + 47.\n4. Substitute k = h + 14 to i, which gives i = h + 61.\n5. Substitute h = x + 7 to i, which gives i = x + 68.\n6. Substitute x = 17 to i, which gives i = 85.\n\nThus, the final answer is i = \\boxed{85}.",
"index": 19237,
"question": "Consider a system of variables where each variable is defined as follows: y = s + 11; l = w + 6; s = q + 6; m = e + 6; h = x + 7; u = x + 13; q = k + 15; x = 17; k = h + 14; z = l + 3; w = u + 11; i = y + 15; e = z + 18. If x = 17, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"i": "y + 16", "q": "i + 19", "w": "q + 13", "u": "w + 6", "l": "u + 4", "z": "l + 20", "x": "y + 8", "p": "x + 13", "b": "p + 14", "r": "b + 8", "g": "r + 11", "d": "g + 2", "y": 19}, "premises": {"y": 19}, "target": "z"}, "answer": {"steps": [["l", "u + 4", "u + 24"], ["u", "w + 6", "w + 30"], ["w", "q + 13", "q + 43"], ["q", "i + 19", "i + 62"], ["i", "y + 16", "y + 78"], ["y", 19, "97"]], "target_var_name": "z", "target_value": 97, "value_dict": {"y": 19}, "is_reverse": true}} | 19,238 | 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 = l + 20; q = i + 19; d = g + 2; l = u + 4; w = q + 13; g = r + 11; i = y + 16; x = y + 8; b = p + 14; y = 19; p = x + 13; r = b + 8; u = w + 6. If y = 19, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = u + 4 to z, which gives z = u + 24.\n2. Substitute u = w + 6 to z, which gives z = w + 30.\n3. Substitute w = q + 13 to z, which gives z = q + 43.\n4. Substitute q = i + 19 to z, which gives z = i + 62.\n5. Substitute i = y + 16 to z, which gives z = y + 78.\n6. Substitute y = 19 to z, which gives z = 97.\n\nThus, the final answer is z = \\boxed{97}.",
"index": 19238,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = l + 20; q = i + 19; d = g + 2; l = u + 4; w = q + 13; g = r + 11; i = y + 16; x = y + 8; b = p + 14; y = 19; p = x + 13; r = b + 8; u = w + 6. If y = 19, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"y": "w + 2", "c": "y + 13", "j": "c + 10", "f": "j + 2", "s": "f + 2", "h": "s + 15", "t": "w + 1", "n": "t + 1", "d": "n + 11", "e": "d + 12", "k": "e + 10", "v": "k + 15", "w": 8}, "premises": {"w": 8}, "target": "h"}, "answer": {"steps": [["s", "f + 2", "f + 17"], ["f", "j + 2", "j + 19"], ["j", "c + 10", "c + 29"], ["c", "y + 13", "y + 42"], ["y", "w + 2", "w + 44"], ["w", 8, "52"]], "target_var_name": "h", "target_value": 52, "value_dict": {"w": 8}, "is_reverse": true}} | 19,239 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = w + 1; n = t + 1; h = s + 15; w = 8; s = f + 2; j = c + 10; d = n + 11; e = d + 12; y = w + 2; k = e + 10; f = j + 2; v = k + 15; c = y + 13. Given that w = 8, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = f + 2 to h, which gives h = f + 17.\n2. Substitute f = j + 2 to h, which gives h = j + 19.\n3. Substitute j = c + 10 to h, which gives h = c + 29.\n4. Substitute c = y + 13 to h, which gives h = y + 42.\n5. Substitute y = w + 2 to h, which gives h = w + 44.\n6. Substitute w = 8 to h, which gives h = 52.\n\nThus, the final answer is h = \\boxed{52}.",
"index": 19239,
"question": "Suppose a collection of variables is related by the following definitions: t = w + 1; n = t + 1; h = s + 15; w = 8; s = f + 2; j = c + 10; d = n + 11; e = d + 12; y = w + 2; k = e + 10; f = j + 2; v = k + 15; c = y + 13. Given that w = 8, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"a": "i + 16", "l": "a + 2", "k": "l + 8", "g": "k + 2", "m": "g + 19", "n": "m + 8", "t": "i + 10", "f": "t + 5", "o": "f + 4", "z": "o + 11", "w": "z + 17", "j": "w + 7", "i": 14}, "premises": {"i": 14}, "target": "n"}, "answer": {"steps": [["m", "g + 19", "g + 27"], ["g", "k + 2", "k + 29"], ["k", "l + 8", "l + 37"], ["l", "a + 2", "a + 39"], ["a", "i + 16", "i + 55"], ["i", 14, "69"]], "target_var_name": "n", "target_value": 69, "value_dict": {"i": 14}, "is_reverse": true}} | 19,240 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = o + 11; a = i + 16; m = g + 19; t = i + 10; n = m + 8; k = l + 8; j = w + 7; o = f + 4; i = 14; w = z + 17; l = a + 2; g = k + 2; f = t + 5. If i = 14, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = g + 19 to n, which gives n = g + 27.\n2. Substitute g = k + 2 to n, which gives n = k + 29.\n3. Substitute k = l + 8 to n, which gives n = l + 37.\n4. Substitute l = a + 2 to n, which gives n = a + 39.\n5. Substitute a = i + 16 to n, which gives n = i + 55.\n6. Substitute i = 14 to n, which gives n = 69.\n\nThus, the final answer is n = \\boxed{69}.",
"index": 19240,
"question": "Consider a system of variables where each variable is defined as follows: z = o + 11; a = i + 16; m = g + 19; t = i + 10; n = m + 8; k = l + 8; j = w + 7; o = f + 4; i = 14; w = z + 17; l = a + 2; g = k + 2; f = t + 5. If i = 14, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"e": "u + 13", "k": "e + 12", "f": "k + 8", "o": "f + 15", "g": "o + 13", "p": "g + 17", "b": "u + 11", "s": "b + 6", "l": "s + 15", "j": "l + 8", "t": "j + 2", "h": "t + 4", "u": 14}, "premises": {"u": 14}, "target": "p"}, "answer": {"steps": [["g", "o + 13", "o + 30"], ["o", "f + 15", "f + 45"], ["f", "k + 8", "k + 53"], ["k", "e + 12", "e + 65"], ["e", "u + 13", "u + 78"], ["u", 14, "92"]], "target_var_name": "p", "target_value": 92, "value_dict": {"u": 14}, "is_reverse": true}} | 19,241 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = u + 11; g = o + 13; t = j + 2; o = f + 15; f = k + 8; s = b + 6; l = s + 15; j = l + 8; u = 14; e = u + 13; h = t + 4; p = g + 17; k = e + 12. If u = 14, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = o + 13 to p, which gives p = o + 30.\n2. Substitute o = f + 15 to p, which gives p = f + 45.\n3. Substitute f = k + 8 to p, which gives p = k + 53.\n4. Substitute k = e + 12 to p, which gives p = e + 65.\n5. Substitute e = u + 13 to p, which gives p = u + 78.\n6. Substitute u = 14 to p, which gives p = 92.\n\nThus, the final answer is p = \\boxed{92}.",
"index": 19241,
"question": "Consider a system of variables where each variable is defined as follows: b = u + 11; g = o + 13; t = j + 2; o = f + 15; f = k + 8; s = b + 6; l = s + 15; j = l + 8; u = 14; e = u + 13; h = t + 4; p = g + 17; k = e + 12. If u = 14, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"f": "n + 4", "y": "f + 1", "x": "y + 13", "s": "x + 14", "j": "s + 6", "v": "j + 14", "c": "n + 4", "i": "c + 14", "u": "i + 6", "a": "u + 18", "d": "a + 1", "z": "d + 1", "n": 15}, "premises": {"n": 15}, "target": "v"}, "answer": {"steps": [["j", "s + 6", "s + 20"], ["s", "x + 14", "x + 34"], ["x", "y + 13", "y + 47"], ["y", "f + 1", "f + 48"], ["f", "n + 4", "n + 52"], ["n", 15, "67"]], "target_var_name": "v", "target_value": 67, "value_dict": {"n": 15}, "is_reverse": true}} | 19,242 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = u + 18; s = x + 14; z = d + 1; x = y + 13; i = c + 14; n = 15; d = a + 1; u = i + 6; c = n + 4; v = j + 14; j = s + 6; f = n + 4; y = f + 1. If n = 15, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = s + 6 to v, which gives v = s + 20.\n2. Substitute s = x + 14 to v, which gives v = x + 34.\n3. Substitute x = y + 13 to v, which gives v = y + 47.\n4. Substitute y = f + 1 to v, which gives v = f + 48.\n5. Substitute f = n + 4 to v, which gives v = n + 52.\n6. Substitute n = 15 to v, which gives v = 67.\n\nThus, the final answer is v = \\boxed{67}.",
"index": 19242,
"question": "Consider a system of variables where each variable is defined as follows: a = u + 18; s = x + 14; z = d + 1; x = y + 13; i = c + 14; n = 15; d = a + 1; u = i + 6; c = n + 4; v = j + 14; j = s + 6; f = n + 4; y = f + 1. If n = 15, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"h": "x + 4", "a": "h + 20", "k": "a + 9", "o": "k + 3", "z": "o + 10", "m": "z + 5", "u": "x + 17", "e": "u + 20", "w": "e + 12", "b": "w + 16", "r": "b + 7", "s": "r + 16", "x": 5}, "premises": {"x": 5}, "target": "m"}, "answer": {"steps": [["z", "o + 10", "o + 15"], ["o", "k + 3", "k + 18"], ["k", "a + 9", "a + 27"], ["a", "h + 20", "h + 47"], ["h", "x + 4", "x + 51"], ["x", 5, "56"]], "target_var_name": "m", "target_value": 56, "value_dict": {"x": 5}, "is_reverse": true}} | 19,243 | 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 = b + 7; x = 5; w = e + 12; u = x + 17; a = h + 20; k = a + 9; s = r + 16; o = k + 3; m = z + 5; z = o + 10; h = x + 4; b = w + 16; e = u + 20. If x = 5, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = o + 10 to m, which gives m = o + 15.\n2. Substitute o = k + 3 to m, which gives m = k + 18.\n3. Substitute k = a + 9 to m, which gives m = a + 27.\n4. Substitute a = h + 20 to m, which gives m = h + 47.\n5. Substitute h = x + 4 to m, which gives m = x + 51.\n6. Substitute x = 5 to m, which gives m = 56.\n\nThus, the final answer is m = \\boxed{56}.",
"index": 19243,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = b + 7; x = 5; w = e + 12; u = x + 17; a = h + 20; k = a + 9; s = r + 16; o = k + 3; m = z + 5; z = o + 10; h = x + 4; b = w + 16; e = u + 20. If x = 5, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"w": "g + 6", "v": "w + 16", "r": "v + 17", "i": "r + 17", "m": "i + 15", "j": "m + 8", "q": "g + 4", "z": "q + 18", "e": "z + 10", "b": "e + 16", "y": "b + 2", "k": "y + 5", "g": 3}, "premises": {"g": 3}, "target": "j"}, "answer": {"steps": [["m", "i + 15", "i + 23"], ["i", "r + 17", "r + 40"], ["r", "v + 17", "v + 57"], ["v", "w + 16", "w + 73"], ["w", "g + 6", "g + 79"], ["g", 3, "82"]], "target_var_name": "j", "target_value": 82, "value_dict": {"g": 3}, "is_reverse": true}} | 19,244 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = m + 8; v = w + 16; r = v + 17; b = e + 16; q = g + 4; z = q + 18; k = y + 5; e = z + 10; w = g + 6; i = r + 17; g = 3; m = i + 15; y = b + 2. Given that g = 3, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = i + 15 to j, which gives j = i + 23.\n2. Substitute i = r + 17 to j, which gives j = r + 40.\n3. Substitute r = v + 17 to j, which gives j = v + 57.\n4. Substitute v = w + 16 to j, which gives j = w + 73.\n5. Substitute w = g + 6 to j, which gives j = g + 79.\n6. Substitute g = 3 to j, which gives j = 82.\n\nThus, the final answer is j = \\boxed{82}.",
"index": 19244,
"question": "Suppose a collection of variables is related by the following definitions: j = m + 8; v = w + 16; r = v + 17; b = e + 16; q = g + 4; z = q + 18; k = y + 5; e = z + 10; w = g + 6; i = r + 17; g = 3; m = i + 15; y = b + 2. Given that g = 3, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"t": "u + 12", "s": "t + 4", "o": "s + 17", "q": "o + 6", "z": "q + 3", "b": "z + 10", "i": "u + 14", "y": "i + 2", "c": "y + 1", "w": "c + 6", "f": "w + 9", "a": "f + 10", "u": 7}, "premises": {"u": 7}, "target": "b"}, "answer": {"steps": [["z", "q + 3", "q + 13"], ["q", "o + 6", "o + 19"], ["o", "s + 17", "s + 36"], ["s", "t + 4", "t + 40"], ["t", "u + 12", "u + 52"], ["u", 7, "59"]], "target_var_name": "b", "target_value": 59, "value_dict": {"u": 7}, "is_reverse": true}} | 19,245 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = c + 6; z = q + 3; q = o + 6; a = f + 10; f = w + 9; s = t + 4; c = y + 1; b = z + 10; y = i + 2; t = u + 12; u = 7; o = s + 17; i = u + 14. Given that u = 7, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = q + 3 to b, which gives b = q + 13.\n2. Substitute q = o + 6 to b, which gives b = o + 19.\n3. Substitute o = s + 17 to b, which gives b = s + 36.\n4. Substitute s = t + 4 to b, which gives b = t + 40.\n5. Substitute t = u + 12 to b, which gives b = u + 52.\n6. Substitute u = 7 to b, which gives b = 59.\n\nThus, the final answer is b = \\boxed{59}.",
"index": 19245,
"question": "Suppose a collection of variables is related by the following definitions: w = c + 6; z = q + 3; q = o + 6; a = f + 10; f = w + 9; s = t + 4; c = y + 1; b = z + 10; y = i + 2; t = u + 12; u = 7; o = s + 17; i = u + 14. Given that u = 7, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"l": "k + 13", "y": "l + 7", "v": "y + 3", "e": "v + 18", "t": "e + 12", "z": "t + 20", "f": "k + 20", "i": "f + 6", "b": "i + 14", "u": "b + 3", "o": "u + 16", "q": "o + 10", "k": 10}, "premises": {"k": 10}, "target": "z"}, "answer": {"steps": [["t", "e + 12", "e + 32"], ["e", "v + 18", "v + 50"], ["v", "y + 3", "y + 53"], ["y", "l + 7", "l + 60"], ["l", "k + 13", "k + 73"], ["k", 10, "83"]], "target_var_name": "z", "target_value": 83, "value_dict": {"k": 10}, "is_reverse": true}} | 19,246 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = 10; y = l + 7; z = t + 20; q = o + 10; o = u + 16; v = y + 3; e = v + 18; l = k + 13; b = i + 14; i = f + 6; f = k + 20; u = b + 3; t = e + 12. Given that k = 10, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = e + 12 to z, which gives z = e + 32.\n2. Substitute e = v + 18 to z, which gives z = v + 50.\n3. Substitute v = y + 3 to z, which gives z = y + 53.\n4. Substitute y = l + 7 to z, which gives z = l + 60.\n5. Substitute l = k + 13 to z, which gives z = k + 73.\n6. Substitute k = 10 to z, which gives z = 83.\n\nThus, the final answer is z = \\boxed{83}.",
"index": 19246,
"question": "Suppose a collection of variables is related by the following definitions: k = 10; y = l + 7; z = t + 20; q = o + 10; o = u + 16; v = y + 3; e = v + 18; l = k + 13; b = i + 14; i = f + 6; f = k + 20; u = b + 3; t = e + 12. Given that k = 10, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"m": "r + 18", "s": "m + 20", "o": "s + 15", "c": "o + 1", "g": "c + 16", "j": "g + 4", "a": "r + 18", "b": "a + 11", "w": "b + 15", "k": "w + 14", "v": "k + 8", "u": "v + 19", "r": 15}, "premises": {"r": 15}, "target": "j"}, "answer": {"steps": [["g", "c + 16", "c + 20"], ["c", "o + 1", "o + 21"], ["o", "s + 15", "s + 36"], ["s", "m + 20", "m + 56"], ["m", "r + 18", "r + 74"], ["r", 15, "89"]], "target_var_name": "j", "target_value": 89, "value_dict": {"r": 15}, "is_reverse": true}} | 19,247 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = s + 15; s = m + 20; j = g + 4; b = a + 11; k = w + 14; r = 15; w = b + 15; m = r + 18; g = c + 16; a = r + 18; c = o + 1; v = k + 8; u = v + 19. If r = 15, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = c + 16 to j, which gives j = c + 20.\n2. Substitute c = o + 1 to j, which gives j = o + 21.\n3. Substitute o = s + 15 to j, which gives j = s + 36.\n4. Substitute s = m + 20 to j, which gives j = m + 56.\n5. Substitute m = r + 18 to j, which gives j = r + 74.\n6. Substitute r = 15 to j, which gives j = 89.\n\nThus, the final answer is j = \\boxed{89}.",
"index": 19247,
"question": "Consider a system of variables where each variable is defined as follows: o = s + 15; s = m + 20; j = g + 4; b = a + 11; k = w + 14; r = 15; w = b + 15; m = r + 18; g = c + 16; a = r + 18; c = o + 1; v = k + 8; u = v + 19. If r = 15, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"u": "o + 16", "k": "u + 10", "e": "k + 1", "s": "e + 14", "t": "s + 14", "d": "t + 7", "x": "o + 7", "c": "x + 19", "z": "c + 18", "g": "z + 13", "f": "g + 20", "a": "f + 3", "o": 13}, "premises": {"o": 13}, "target": "d"}, "answer": {"steps": [["t", "s + 14", "s + 21"], ["s", "e + 14", "e + 35"], ["e", "k + 1", "k + 36"], ["k", "u + 10", "u + 46"], ["u", "o + 16", "o + 62"], ["o", 13, "75"]], "target_var_name": "d", "target_value": 75, "value_dict": {"o": 13}, "is_reverse": true}} | 19,248 | 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 = o + 7; k = u + 10; g = z + 13; f = g + 20; d = t + 7; t = s + 14; e = k + 1; c = x + 19; a = f + 3; z = c + 18; s = e + 14; u = o + 16; o = 13. If o = 13, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = s + 14 to d, which gives d = s + 21.\n2. Substitute s = e + 14 to d, which gives d = e + 35.\n3. Substitute e = k + 1 to d, which gives d = k + 36.\n4. Substitute k = u + 10 to d, which gives d = u + 46.\n5. Substitute u = o + 16 to d, which gives d = o + 62.\n6. Substitute o = 13 to d, which gives d = 75.\n\nThus, the final answer is d = \\boxed{75}.",
"index": 19248,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = o + 7; k = u + 10; g = z + 13; f = g + 20; d = t + 7; t = s + 14; e = k + 1; c = x + 19; a = f + 3; z = c + 18; s = e + 14; u = o + 16; o = 13. If o = 13, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"e": "c + 20", "a": "e + 10", "i": "a + 15", "f": "i + 15", "v": "f + 2", "z": "v + 17", "g": "c + 19", "j": "g + 7", "r": "j + 9", "m": "r + 2", "w": "m + 16", "l": "w + 6", "c": 16}, "premises": {"c": 16}, "target": "z"}, "answer": {"steps": [["v", "f + 2", "f + 19"], ["f", "i + 15", "i + 34"], ["i", "a + 15", "a + 49"], ["a", "e + 10", "e + 59"], ["e", "c + 20", "c + 79"], ["c", 16, "95"]], "target_var_name": "z", "target_value": 95, "value_dict": {"c": 16}, "is_reverse": true}} | 19,249 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = 16; w = m + 16; m = r + 2; i = a + 15; v = f + 2; j = g + 7; g = c + 19; e = c + 20; a = e + 10; r = j + 9; l = w + 6; f = i + 15; z = v + 17. Given that c = 16, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = f + 2 to z, which gives z = f + 19.\n2. Substitute f = i + 15 to z, which gives z = i + 34.\n3. Substitute i = a + 15 to z, which gives z = a + 49.\n4. Substitute a = e + 10 to z, which gives z = e + 59.\n5. Substitute e = c + 20 to z, which gives z = c + 79.\n6. Substitute c = 16 to z, which gives z = 95.\n\nThus, the final answer is z = \\boxed{95}.",
"index": 19249,
"question": "Suppose a collection of variables is related by the following definitions: c = 16; w = m + 16; m = r + 2; i = a + 15; v = f + 2; j = g + 7; g = c + 19; e = c + 20; a = e + 10; r = j + 9; l = w + 6; f = i + 15; z = v + 17. Given that c = 16, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"v": "l + 3", "r": "v + 12", "n": "r + 9", "w": "n + 11", "m": "w + 6", "o": "m + 9", "e": "l + 2", "a": "e + 16", "x": "a + 7", "p": "x + 2", "b": "p + 17", "h": "b + 15", "l": 18}, "premises": {"l": 18}, "target": "o"}, "answer": {"steps": [["m", "w + 6", "w + 15"], ["w", "n + 11", "n + 26"], ["n", "r + 9", "r + 35"], ["r", "v + 12", "v + 47"], ["v", "l + 3", "l + 50"], ["l", 18, "68"]], "target_var_name": "o", "target_value": 68, "value_dict": {"l": 18}, "is_reverse": true}} | 19,250 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = r + 9; p = x + 2; x = a + 7; m = w + 6; a = e + 16; h = b + 15; v = l + 3; o = m + 9; b = p + 17; e = l + 2; r = v + 12; l = 18; w = n + 11. Given that l = 18, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = w + 6 to o, which gives o = w + 15.\n2. Substitute w = n + 11 to o, which gives o = n + 26.\n3. Substitute n = r + 9 to o, which gives o = r + 35.\n4. Substitute r = v + 12 to o, which gives o = v + 47.\n5. Substitute v = l + 3 to o, which gives o = l + 50.\n6. Substitute l = 18 to o, which gives o = 68.\n\nThus, the final answer is o = \\boxed{68}.",
"index": 19250,
"question": "Suppose a collection of variables is related by the following definitions: n = r + 9; p = x + 2; x = a + 7; m = w + 6; a = e + 16; h = b + 15; v = l + 3; o = m + 9; b = p + 17; e = l + 2; r = v + 12; l = 18; w = n + 11. Given that l = 18, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"g": "j + 9", "w": "g + 1", "h": "w + 5", "i": "h + 18", "k": "i + 14", "s": "k + 20", "r": "j + 20", "n": "r + 16", "z": "n + 14", "l": "z + 3", "t": "l + 13", "u": "t + 1", "j": 17}, "premises": {"j": 17}, "target": "s"}, "answer": {"steps": [["k", "i + 14", "i + 34"], ["i", "h + 18", "h + 52"], ["h", "w + 5", "w + 57"], ["w", "g + 1", "g + 58"], ["g", "j + 9", "j + 67"], ["j", 17, "84"]], "target_var_name": "s", "target_value": 84, "value_dict": {"j": 17}, "is_reverse": true}} | 19,251 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = z + 3; t = l + 13; r = j + 20; k = i + 14; w = g + 1; s = k + 20; u = t + 1; i = h + 18; z = n + 14; h = w + 5; j = 17; n = r + 16; g = j + 9. Given that j = 17, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = i + 14 to s, which gives s = i + 34.\n2. Substitute i = h + 18 to s, which gives s = h + 52.\n3. Substitute h = w + 5 to s, which gives s = w + 57.\n4. Substitute w = g + 1 to s, which gives s = g + 58.\n5. Substitute g = j + 9 to s, which gives s = j + 67.\n6. Substitute j = 17 to s, which gives s = 84.\n\nThus, the final answer is s = \\boxed{84}.",
"index": 19251,
"question": "Suppose a collection of variables is related by the following definitions: l = z + 3; t = l + 13; r = j + 20; k = i + 14; w = g + 1; s = k + 20; u = t + 1; i = h + 18; z = n + 14; h = w + 5; j = 17; n = r + 16; g = j + 9. Given that j = 17, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"j": "t + 12", "s": "j + 4", "p": "s + 16", "e": "p + 2", "y": "e + 13", "x": "y + 19", "d": "t + 12", "m": "d + 6", "q": "m + 15", "a": "q + 2", "k": "a + 11", "n": "k + 3", "t": 14}, "premises": {"t": 14}, "target": "x"}, "answer": {"steps": [["y", "e + 13", "e + 32"], ["e", "p + 2", "p + 34"], ["p", "s + 16", "s + 50"], ["s", "j + 4", "j + 54"], ["j", "t + 12", "t + 66"], ["t", 14, "80"]], "target_var_name": "x", "target_value": 80, "value_dict": {"t": 14}, "is_reverse": true}} | 19,252 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = d + 6; y = e + 13; t = 14; a = q + 2; s = j + 4; d = t + 12; n = k + 3; j = t + 12; x = y + 19; p = s + 16; q = m + 15; e = p + 2; k = a + 11. Given that t = 14, find 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 y = e + 13 to x, which gives x = e + 32.\n2. Substitute e = p + 2 to x, which gives x = p + 34.\n3. Substitute p = s + 16 to x, which gives x = s + 50.\n4. Substitute s = j + 4 to x, which gives x = j + 54.\n5. Substitute j = t + 12 to x, which gives x = t + 66.\n6. Substitute t = 14 to x, which gives x = 80.\n\nThus, the final answer is x = \\boxed{80}.",
"index": 19252,
"question": "Suppose a collection of variables is related by the following definitions: m = d + 6; y = e + 13; t = 14; a = q + 2; s = j + 4; d = t + 12; n = k + 3; j = t + 12; x = y + 19; p = s + 16; q = m + 15; e = p + 2; k = a + 11. Given that t = 14, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"t": "s + 15", "q": "t + 1", "i": "q + 3", "f": "i + 11", "b": "f + 14", "z": "b + 13", "o": "s + 1", "n": "o + 19", "k": "n + 8", "p": "k + 16", "e": "p + 2", "y": "e + 7", "s": 9}, "premises": {"s": 9}, "target": "z"}, "answer": {"steps": [["b", "f + 14", "f + 27"], ["f", "i + 11", "i + 38"], ["i", "q + 3", "q + 41"], ["q", "t + 1", "t + 42"], ["t", "s + 15", "s + 57"], ["s", 9, "66"]], "target_var_name": "z", "target_value": 66, "value_dict": {"s": 9}, "is_reverse": true}} | 19,253 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = o + 19; s = 9; q = t + 1; k = n + 8; b = f + 14; f = i + 11; p = k + 16; t = s + 15; e = p + 2; i = q + 3; z = b + 13; y = e + 7; o = s + 1. If s = 9, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = f + 14 to z, which gives z = f + 27.\n2. Substitute f = i + 11 to z, which gives z = i + 38.\n3. Substitute i = q + 3 to z, which gives z = q + 41.\n4. Substitute q = t + 1 to z, which gives z = t + 42.\n5. Substitute t = s + 15 to z, which gives z = s + 57.\n6. Substitute s = 9 to z, which gives z = 66.\n\nThus, the final answer is z = \\boxed{66}.",
"index": 19253,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = o + 19; s = 9; q = t + 1; k = n + 8; b = f + 14; f = i + 11; p = k + 16; t = s + 15; e = p + 2; i = q + 3; z = b + 13; y = e + 7; o = s + 1. If s = 9, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"n": "r + 20", "p": "n + 8", "h": "p + 8", "b": "h + 3", "s": "b + 13", "l": "s + 15", "f": "r + 5", "z": "f + 19", "m": "z + 13", "t": "m + 10", "a": "t + 14", "u": "a + 20", "r": 5}, "premises": {"r": 5}, "target": "l"}, "answer": {"steps": [["s", "b + 13", "b + 28"], ["b", "h + 3", "h + 31"], ["h", "p + 8", "p + 39"], ["p", "n + 8", "n + 47"], ["n", "r + 20", "r + 67"], ["r", 5, "72"]], "target_var_name": "l", "target_value": 72, "value_dict": {"r": 5}, "is_reverse": true}} | 19,254 | 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 = 5; l = s + 15; u = a + 20; p = n + 8; n = r + 20; f = r + 5; b = h + 3; s = b + 13; m = z + 13; h = p + 8; z = f + 19; a = t + 14; t = m + 10. If r = 5, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = b + 13 to l, which gives l = b + 28.\n2. Substitute b = h + 3 to l, which gives l = h + 31.\n3. Substitute h = p + 8 to l, which gives l = p + 39.\n4. Substitute p = n + 8 to l, which gives l = n + 47.\n5. Substitute n = r + 20 to l, which gives l = r + 67.\n6. Substitute r = 5 to l, which gives l = 72.\n\nThus, the final answer is l = \\boxed{72}.",
"index": 19254,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = 5; l = s + 15; u = a + 20; p = n + 8; n = r + 20; f = r + 5; b = h + 3; s = b + 13; m = z + 13; h = p + 8; z = f + 19; a = t + 14; t = m + 10. If r = 5, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"r": "b + 13", "l": "r + 16", "w": "l + 19", "e": "w + 12", "h": "e + 6", "y": "h + 4", "p": "b + 8", "a": "p + 3", "c": "a + 5", "g": "c + 16", "n": "g + 12", "v": "n + 3", "b": 18}, "premises": {"b": 18}, "target": "y"}, "answer": {"steps": [["h", "e + 6", "e + 10"], ["e", "w + 12", "w + 22"], ["w", "l + 19", "l + 41"], ["l", "r + 16", "r + 57"], ["r", "b + 13", "b + 70"], ["b", 18, "88"]], "target_var_name": "y", "target_value": 88, "value_dict": {"b": 18}, "is_reverse": true}} | 19,255 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = g + 12; p = b + 8; g = c + 16; c = a + 5; h = e + 6; a = p + 3; y = h + 4; b = 18; l = r + 16; v = n + 3; w = l + 19; e = w + 12; r = b + 13. Given that b = 18, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = e + 6 to y, which gives y = e + 10.\n2. Substitute e = w + 12 to y, which gives y = w + 22.\n3. Substitute w = l + 19 to y, which gives y = l + 41.\n4. Substitute l = r + 16 to y, which gives y = r + 57.\n5. Substitute r = b + 13 to y, which gives y = b + 70.\n6. Substitute b = 18 to y, which gives y = 88.\n\nThus, the final answer is y = \\boxed{88}.",
"index": 19255,
"question": "Suppose a collection of variables is related by the following definitions: n = g + 12; p = b + 8; g = c + 16; c = a + 5; h = e + 6; a = p + 3; y = h + 4; b = 18; l = r + 16; v = n + 3; w = l + 19; e = w + 12; r = b + 13. Given that b = 18, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"a": "i + 16", "h": "a + 3", "z": "h + 13", "w": "z + 1", "e": "w + 11", "y": "e + 7", "b": "i + 20", "k": "b + 16", "p": "k + 11", "r": "p + 4", "g": "r + 11", "x": "g + 4", "i": 14}, "premises": {"i": 14}, "target": "y"}, "answer": {"steps": [["e", "w + 11", "w + 18"], ["w", "z + 1", "z + 19"], ["z", "h + 13", "h + 32"], ["h", "a + 3", "a + 35"], ["a", "i + 16", "i + 51"], ["i", 14, "65"]], "target_var_name": "y", "target_value": 65, "value_dict": {"i": 14}, "is_reverse": true}} | 19,256 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = i + 20; x = g + 4; p = k + 11; h = a + 3; z = h + 13; e = w + 11; i = 14; y = e + 7; w = z + 1; k = b + 16; a = i + 16; r = p + 4; g = r + 11. Given that i = 14, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = w + 11 to y, which gives y = w + 18.\n2. Substitute w = z + 1 to y, which gives y = z + 19.\n3. Substitute z = h + 13 to y, which gives y = h + 32.\n4. Substitute h = a + 3 to y, which gives y = a + 35.\n5. Substitute a = i + 16 to y, which gives y = i + 51.\n6. Substitute i = 14 to y, which gives y = 65.\n\nThus, the final answer is y = \\boxed{65}.",
"index": 19256,
"question": "Suppose a collection of variables is related by the following definitions: b = i + 20; x = g + 4; p = k + 11; h = a + 3; z = h + 13; e = w + 11; i = 14; y = e + 7; w = z + 1; k = b + 16; a = i + 16; r = p + 4; g = r + 11. Given that i = 14, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"c": "q + 14", "x": "c + 13", "k": "x + 7", "z": "k + 10", "g": "z + 3", "j": "g + 17", "d": "q + 15", "w": "d + 13", "v": "w + 18", "h": "v + 16", "p": "h + 1", "r": "p + 19", "q": 11}, "premises": {"q": 11}, "target": "j"}, "answer": {"steps": [["g", "z + 3", "z + 20"], ["z", "k + 10", "k + 30"], ["k", "x + 7", "x + 37"], ["x", "c + 13", "c + 50"], ["c", "q + 14", "q + 64"], ["q", 11, "75"]], "target_var_name": "j", "target_value": 75, "value_dict": {"q": 11}, "is_reverse": true}} | 19,257 | 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 = d + 13; h = v + 16; k = x + 7; c = q + 14; v = w + 18; q = 11; g = z + 3; p = h + 1; r = p + 19; j = g + 17; d = q + 15; x = c + 13; z = k + 10. If q = 11, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = z + 3 to j, which gives j = z + 20.\n2. Substitute z = k + 10 to j, which gives j = k + 30.\n3. Substitute k = x + 7 to j, which gives j = x + 37.\n4. Substitute x = c + 13 to j, which gives j = c + 50.\n5. Substitute c = q + 14 to j, which gives j = q + 64.\n6. Substitute q = 11 to j, which gives j = 75.\n\nThus, the final answer is j = \\boxed{75}.",
"index": 19257,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = d + 13; h = v + 16; k = x + 7; c = q + 14; v = w + 18; q = 11; g = z + 3; p = h + 1; r = p + 19; j = g + 17; d = q + 15; x = c + 13; z = k + 10. If q = 11, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"p": "v + 15", "r": "p + 6", "t": "r + 2", "c": "t + 15", "j": "c + 10", "q": "j + 6", "i": "v + 3", "x": "i + 16", "n": "x + 6", "k": "n + 7", "z": "k + 18", "h": "z + 15", "v": 16}, "premises": {"v": 16}, "target": "q"}, "answer": {"steps": [["j", "c + 10", "c + 16"], ["c", "t + 15", "t + 31"], ["t", "r + 2", "r + 33"], ["r", "p + 6", "p + 39"], ["p", "v + 15", "v + 54"], ["v", 16, "70"]], "target_var_name": "q", "target_value": 70, "value_dict": {"v": 16}, "is_reverse": true}} | 19,258 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = z + 15; x = i + 16; v = 16; j = c + 10; i = v + 3; z = k + 18; r = p + 6; t = r + 2; p = v + 15; q = j + 6; n = x + 6; c = t + 15; k = n + 7. If v = 16, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = c + 10 to q, which gives q = c + 16.\n2. Substitute c = t + 15 to q, which gives q = t + 31.\n3. Substitute t = r + 2 to q, which gives q = r + 33.\n4. Substitute r = p + 6 to q, which gives q = p + 39.\n5. Substitute p = v + 15 to q, which gives q = v + 54.\n6. Substitute v = 16 to q, which gives q = 70.\n\nThus, the final answer is q = \\boxed{70}.",
"index": 19258,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = z + 15; x = i + 16; v = 16; j = c + 10; i = v + 3; z = k + 18; r = p + 6; t = r + 2; p = v + 15; q = j + 6; n = x + 6; c = t + 15; k = n + 7. If v = 16, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"b": "r + 12", "d": "b + 16", "s": "d + 16", "u": "s + 15", "j": "u + 17", "w": "j + 6", "z": "r + 2", "p": "z + 4", "t": "p + 9", "a": "t + 9", "i": "a + 12", "c": "i + 19", "r": 6}, "premises": {"r": 6}, "target": "w"}, "answer": {"steps": [["j", "u + 17", "u + 23"], ["u", "s + 15", "s + 38"], ["s", "d + 16", "d + 54"], ["d", "b + 16", "b + 70"], ["b", "r + 12", "r + 82"], ["r", 6, "88"]], "target_var_name": "w", "target_value": 88, "value_dict": {"r": 6}, "is_reverse": true}} | 19,259 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = z + 4; u = s + 15; j = u + 17; t = p + 9; z = r + 2; b = r + 12; a = t + 9; r = 6; c = i + 19; d = b + 16; i = a + 12; s = d + 16; w = j + 6. Given that r = 6, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = u + 17 to w, which gives w = u + 23.\n2. Substitute u = s + 15 to w, which gives w = s + 38.\n3. Substitute s = d + 16 to w, which gives w = d + 54.\n4. Substitute d = b + 16 to w, which gives w = b + 70.\n5. Substitute b = r + 12 to w, which gives w = r + 82.\n6. Substitute r = 6 to w, which gives w = 88.\n\nThus, the final answer is w = \\boxed{88}.",
"index": 19259,
"question": "Suppose a collection of variables is related by the following definitions: p = z + 4; u = s + 15; j = u + 17; t = p + 9; z = r + 2; b = r + 12; a = t + 9; r = 6; c = i + 19; d = b + 16; i = a + 12; s = d + 16; w = j + 6. Given that r = 6, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"o": "f + 4", "n": "o + 13", "r": "n + 13", "t": "r + 11", "g": "t + 14", "s": "g + 7", "c": "f + 10", "w": "c + 7", "b": "w + 20", "z": "b + 16", "k": "z + 14", "j": "k + 11", "f": 20}, "premises": {"f": 20}, "target": "s"}, "answer": {"steps": [["g", "t + 14", "t + 21"], ["t", "r + 11", "r + 32"], ["r", "n + 13", "n + 45"], ["n", "o + 13", "o + 58"], ["o", "f + 4", "f + 62"], ["f", 20, "82"]], "target_var_name": "s", "target_value": 82, "value_dict": {"f": 20}, "is_reverse": true}} | 19,260 | 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 = b + 16; s = g + 7; t = r + 11; c = f + 10; g = t + 14; w = c + 7; k = z + 14; r = n + 13; j = k + 11; f = 20; o = f + 4; b = w + 20; n = o + 13. If f = 20, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = t + 14 to s, which gives s = t + 21.\n2. Substitute t = r + 11 to s, which gives s = r + 32.\n3. Substitute r = n + 13 to s, which gives s = n + 45.\n4. Substitute n = o + 13 to s, which gives s = o + 58.\n5. Substitute o = f + 4 to s, which gives s = f + 62.\n6. Substitute f = 20 to s, which gives s = 82.\n\nThus, the final answer is s = \\boxed{82}.",
"index": 19260,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = b + 16; s = g + 7; t = r + 11; c = f + 10; g = t + 14; w = c + 7; k = z + 14; r = n + 13; j = k + 11; f = 20; o = f + 4; b = w + 20; n = o + 13. If f = 20, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"i": "n + 16", "k": "i + 7", "t": "k + 18", "u": "t + 8", "r": "u + 18", "z": "r + 3", "x": "n + 14", "g": "x + 1", "y": "g + 18", "q": "y + 3", "e": "q + 15", "p": "e + 17", "n": 8}, "premises": {"n": 8}, "target": "z"}, "answer": {"steps": [["r", "u + 18", "u + 21"], ["u", "t + 8", "t + 29"], ["t", "k + 18", "k + 47"], ["k", "i + 7", "i + 54"], ["i", "n + 16", "n + 70"], ["n", 8, "78"]], "target_var_name": "z", "target_value": 78, "value_dict": {"n": 8}, "is_reverse": true}} | 19,261 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = r + 3; p = e + 17; r = u + 18; i = n + 16; e = q + 15; q = y + 3; t = k + 18; n = 8; x = n + 14; g = x + 1; y = g + 18; k = i + 7; u = t + 8. If n = 8, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = u + 18 to z, which gives z = u + 21.\n2. Substitute u = t + 8 to z, which gives z = t + 29.\n3. Substitute t = k + 18 to z, which gives z = k + 47.\n4. Substitute k = i + 7 to z, which gives z = i + 54.\n5. Substitute i = n + 16 to z, which gives z = n + 70.\n6. Substitute n = 8 to z, which gives z = 78.\n\nThus, the final answer is z = \\boxed{78}.",
"index": 19261,
"question": "Consider a system of variables where each variable is defined as follows: z = r + 3; p = e + 17; r = u + 18; i = n + 16; e = q + 15; q = y + 3; t = k + 18; n = 8; x = n + 14; g = x + 1; y = g + 18; k = i + 7; u = t + 8. If n = 8, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"m": "c + 6", "k": "m + 7", "f": "k + 7", "a": "f + 15", "u": "a + 4", "e": "u + 4", "l": "c + 16", "r": "l + 7", "b": "r + 8", "y": "b + 1", "s": "y + 8", "d": "s + 2", "c": 2}, "premises": {"c": 2}, "target": "e"}, "answer": {"steps": [["u", "a + 4", "a + 8"], ["a", "f + 15", "f + 23"], ["f", "k + 7", "k + 30"], ["k", "m + 7", "m + 37"], ["m", "c + 6", "c + 43"], ["c", 2, "45"]], "target_var_name": "e", "target_value": 45, "value_dict": {"c": 2}, "is_reverse": true}} | 19,262 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = 2; r = l + 7; b = r + 8; y = b + 1; f = k + 7; d = s + 2; u = a + 4; e = u + 4; k = m + 7; l = c + 16; s = y + 8; a = f + 15; m = c + 6. If c = 2, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = a + 4 to e, which gives e = a + 8.\n2. Substitute a = f + 15 to e, which gives e = f + 23.\n3. Substitute f = k + 7 to e, which gives e = k + 30.\n4. Substitute k = m + 7 to e, which gives e = m + 37.\n5. Substitute m = c + 6 to e, which gives e = c + 43.\n6. Substitute c = 2 to e, which gives e = 45.\n\nThus, the final answer is e = \\boxed{45}.",
"index": 19262,
"question": "Consider a system of variables where each variable is defined as follows: c = 2; r = l + 7; b = r + 8; y = b + 1; f = k + 7; d = s + 2; u = a + 4; e = u + 4; k = m + 7; l = c + 16; s = y + 8; a = f + 15; m = c + 6. If c = 2, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"q": "b + 17", "m": "q + 16", "n": "m + 20", "x": "n + 14", "k": "x + 10", "o": "k + 4", "j": "b + 3", "a": "j + 14", "v": "a + 16", "z": "v + 19", "e": "z + 2", "s": "e + 8", "b": 8}, "premises": {"b": 8}, "target": "o"}, "answer": {"steps": [["k", "x + 10", "x + 14"], ["x", "n + 14", "n + 28"], ["n", "m + 20", "m + 48"], ["m", "q + 16", "q + 64"], ["q", "b + 17", "b + 81"], ["b", 8, "89"]], "target_var_name": "o", "target_value": 89, "value_dict": {"b": 8}, "is_reverse": true}} | 19,263 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = 8; m = q + 16; z = v + 19; o = k + 4; j = b + 3; x = n + 14; a = j + 14; n = m + 20; s = e + 8; v = a + 16; q = b + 17; k = x + 10; e = z + 2. If b = 8, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = x + 10 to o, which gives o = x + 14.\n2. Substitute x = n + 14 to o, which gives o = n + 28.\n3. Substitute n = m + 20 to o, which gives o = m + 48.\n4. Substitute m = q + 16 to o, which gives o = q + 64.\n5. Substitute q = b + 17 to o, which gives o = b + 81.\n6. Substitute b = 8 to o, which gives o = 89.\n\nThus, the final answer is o = \\boxed{89}.",
"index": 19263,
"question": "Consider a system of variables where each variable is defined as follows: b = 8; m = q + 16; z = v + 19; o = k + 4; j = b + 3; x = n + 14; a = j + 14; n = m + 20; s = e + 8; v = a + 16; q = b + 17; k = x + 10; e = z + 2. If b = 8, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"k": "t + 7", "z": "k + 16", "d": "z + 6", "a": "d + 9", "m": "a + 11", "v": "m + 8", "e": "t + 11", "j": "e + 18", "g": "j + 13", "r": "g + 10", "b": "r + 7", "w": "b + 6", "t": 13}, "premises": {"t": 13}, "target": "v"}, "answer": {"steps": [["m", "a + 11", "a + 19"], ["a", "d + 9", "d + 28"], ["d", "z + 6", "z + 34"], ["z", "k + 16", "k + 50"], ["k", "t + 7", "t + 57"], ["t", 13, "70"]], "target_var_name": "v", "target_value": 70, "value_dict": {"t": 13}, "is_reverse": true}} | 19,264 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = j + 13; e = t + 11; a = d + 9; j = e + 18; r = g + 10; b = r + 7; v = m + 8; w = b + 6; t = 13; k = t + 7; z = k + 16; m = a + 11; d = z + 6. Given that t = 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 m = a + 11 to v, which gives v = a + 19.\n2. Substitute a = d + 9 to v, which gives v = d + 28.\n3. Substitute d = z + 6 to v, which gives v = z + 34.\n4. Substitute z = k + 16 to v, which gives v = k + 50.\n5. Substitute k = t + 7 to v, which gives v = t + 57.\n6. Substitute t = 13 to v, which gives v = 70.\n\nThus, the final answer is v = \\boxed{70}.",
"index": 19264,
"question": "Suppose a collection of variables is related by the following definitions: g = j + 13; e = t + 11; a = d + 9; j = e + 18; r = g + 10; b = r + 7; v = m + 8; w = b + 6; t = 13; k = t + 7; z = k + 16; m = a + 11; d = z + 6. Given that t = 13, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"s": "e + 12", "y": "s + 5", "z": "y + 4", "k": "z + 12", "w": "k + 1", "j": "w + 10", "p": "e + 14", "a": "p + 1", "l": "a + 3", "m": "l + 20", "u": "m + 7", "n": "u + 17", "e": 15}, "premises": {"e": 15}, "target": "j"}, "answer": {"steps": [["w", "k + 1", "k + 11"], ["k", "z + 12", "z + 23"], ["z", "y + 4", "y + 27"], ["y", "s + 5", "s + 32"], ["s", "e + 12", "e + 44"], ["e", 15, "59"]], "target_var_name": "j", "target_value": 59, "value_dict": {"e": 15}, "is_reverse": true}} | 19,265 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = s + 5; a = p + 1; l = a + 3; m = l + 20; u = m + 7; s = e + 12; p = e + 14; k = z + 12; z = y + 4; w = k + 1; n = u + 17; e = 15; j = w + 10. If e = 15, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = k + 1 to j, which gives j = k + 11.\n2. Substitute k = z + 12 to j, which gives j = z + 23.\n3. Substitute z = y + 4 to j, which gives j = y + 27.\n4. Substitute y = s + 5 to j, which gives j = s + 32.\n5. Substitute s = e + 12 to j, which gives j = e + 44.\n6. Substitute e = 15 to j, which gives j = 59.\n\nThus, the final answer is j = \\boxed{59}.",
"index": 19265,
"question": "Consider a system of variables where each variable is defined as follows: y = s + 5; a = p + 1; l = a + 3; m = l + 20; u = m + 7; s = e + 12; p = e + 14; k = z + 12; z = y + 4; w = k + 1; n = u + 17; e = 15; j = w + 10. If e = 15, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"o": "q + 14", "d": "o + 14", "l": "d + 4", "a": "l + 2", "y": "a + 18", "z": "y + 14", "k": "q + 18", "e": "k + 5", "p": "e + 3", "j": "p + 15", "u": "j + 6", "r": "u + 5", "q": 16}, "premises": {"q": 16}, "target": "z"}, "answer": {"steps": [["y", "a + 18", "a + 32"], ["a", "l + 2", "l + 34"], ["l", "d + 4", "d + 38"], ["d", "o + 14", "o + 52"], ["o", "q + 14", "q + 66"], ["q", 16, "82"]], "target_var_name": "z", "target_value": 82, "value_dict": {"q": 16}, "is_reverse": true}} | 19,266 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = e + 3; j = p + 15; q = 16; y = a + 18; z = y + 14; u = j + 6; r = u + 5; d = o + 14; a = l + 2; o = q + 14; l = d + 4; e = k + 5; k = q + 18. If q = 16, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = a + 18 to z, which gives z = a + 32.\n2. Substitute a = l + 2 to z, which gives z = l + 34.\n3. Substitute l = d + 4 to z, which gives z = d + 38.\n4. Substitute d = o + 14 to z, which gives z = o + 52.\n5. Substitute o = q + 14 to z, which gives z = q + 66.\n6. Substitute q = 16 to z, which gives z = 82.\n\nThus, the final answer is z = \\boxed{82}.",
"index": 19266,
"question": "Consider a system of variables where each variable is defined as follows: p = e + 3; j = p + 15; q = 16; y = a + 18; z = y + 14; u = j + 6; r = u + 5; d = o + 14; a = l + 2; o = q + 14; l = d + 4; e = k + 5; k = q + 18. If q = 16, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"k": "y + 18", "j": "k + 12", "c": "j + 1", "l": "c + 18", "a": "l + 14", "r": "a + 20", "g": "y + 17", "h": "g + 17", "b": "h + 13", "v": "b + 12", "d": "v + 10", "m": "d + 11", "y": 9}, "premises": {"y": 9}, "target": "r"}, "answer": {"steps": [["a", "l + 14", "l + 34"], ["l", "c + 18", "c + 52"], ["c", "j + 1", "j + 53"], ["j", "k + 12", "k + 65"], ["k", "y + 18", "y + 83"], ["y", 9, "92"]], "target_var_name": "r", "target_value": 92, "value_dict": {"y": 9}, "is_reverse": true}} | 19,267 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = a + 20; b = h + 13; c = j + 1; j = k + 12; k = y + 18; l = c + 18; v = b + 12; h = g + 17; m = d + 11; a = l + 14; d = v + 10; y = 9; g = y + 17. If y = 9, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = l + 14 to r, which gives r = l + 34.\n2. Substitute l = c + 18 to r, which gives r = c + 52.\n3. Substitute c = j + 1 to r, which gives r = j + 53.\n4. Substitute j = k + 12 to r, which gives r = k + 65.\n5. Substitute k = y + 18 to r, which gives r = y + 83.\n6. Substitute y = 9 to r, which gives r = 92.\n\nThus, the final answer is r = \\boxed{92}.",
"index": 19267,
"question": "Consider a system of variables where each variable is defined as follows: r = a + 20; b = h + 13; c = j + 1; j = k + 12; k = y + 18; l = c + 18; v = b + 12; h = g + 17; m = d + 11; a = l + 14; d = v + 10; y = 9; g = y + 17. If y = 9, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"x": "r + 18", "c": "x + 16", "a": "c + 18", "d": "a + 10", "q": "d + 14", "z": "q + 19", "v": "r + 4", "t": "v + 18", "m": "t + 12", "b": "m + 5", "j": "b + 15", "i": "j + 15", "r": 11}, "premises": {"r": 11}, "target": "z"}, "answer": {"steps": [["q", "d + 14", "d + 33"], ["d", "a + 10", "a + 43"], ["a", "c + 18", "c + 61"], ["c", "x + 16", "x + 77"], ["x", "r + 18", "r + 95"], ["r", 11, "106"]], "target_var_name": "z", "target_value": 106, "value_dict": {"r": 11}, "is_reverse": true}} | 19,268 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = t + 12; j = b + 15; q = d + 14; b = m + 5; v = r + 4; a = c + 18; t = v + 18; z = q + 19; x = r + 18; r = 11; d = a + 10; c = x + 16; i = j + 15. If r = 11, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 106,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = d + 14 to z, which gives z = d + 33.\n2. Substitute d = a + 10 to z, which gives z = a + 43.\n3. Substitute a = c + 18 to z, which gives z = c + 61.\n4. Substitute c = x + 16 to z, which gives z = x + 77.\n5. Substitute x = r + 18 to z, which gives z = r + 95.\n6. Substitute r = 11 to z, which gives z = 106.\n\nThus, the final answer is z = \\boxed{106}.",
"index": 19268,
"question": "Consider a system of variables where each variable is defined as follows: m = t + 12; j = b + 15; q = d + 14; b = m + 5; v = r + 4; a = c + 18; t = v + 18; z = q + 19; x = r + 18; r = 11; d = a + 10; c = x + 16; i = j + 15. If r = 11, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"v": "e + 1", "l": "v + 19", "z": "l + 14", "k": "z + 18", "j": "k + 5", "r": "j + 16", "p": "e + 3", "g": "p + 7", "y": "g + 19", "b": "y + 12", "n": "b + 4", "h": "n + 1", "e": 11}, "premises": {"e": 11}, "target": "r"}, "answer": {"steps": [["j", "k + 5", "k + 21"], ["k", "z + 18", "z + 39"], ["z", "l + 14", "l + 53"], ["l", "v + 19", "v + 72"], ["v", "e + 1", "e + 73"], ["e", 11, "84"]], "target_var_name": "r", "target_value": 84, "value_dict": {"e": 11}, "is_reverse": true}} | 19,269 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = n + 1; l = v + 19; y = g + 19; k = z + 18; e = 11; z = l + 14; j = k + 5; p = e + 3; g = p + 7; n = b + 4; v = e + 1; r = j + 16; b = y + 12. If e = 11, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = k + 5 to r, which gives r = k + 21.\n2. Substitute k = z + 18 to r, which gives r = z + 39.\n3. Substitute z = l + 14 to r, which gives r = l + 53.\n4. Substitute l = v + 19 to r, which gives r = v + 72.\n5. Substitute v = e + 1 to r, which gives r = e + 73.\n6. Substitute e = 11 to r, which gives r = 84.\n\nThus, the final answer is r = \\boxed{84}.",
"index": 19269,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = n + 1; l = v + 19; y = g + 19; k = z + 18; e = 11; z = l + 14; j = k + 5; p = e + 3; g = p + 7; n = b + 4; v = e + 1; r = j + 16; b = y + 12. If e = 11, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"v": "f + 18", "x": "v + 20", "s": "x + 5", "l": "s + 5", "c": "l + 13", "b": "c + 2", "y": "f + 15", "r": "y + 12", "q": "r + 7", "g": "q + 11", "p": "g + 1", "t": "p + 19", "f": 5}, "premises": {"f": 5}, "target": "b"}, "answer": {"steps": [["c", "l + 13", "l + 15"], ["l", "s + 5", "s + 20"], ["s", "x + 5", "x + 25"], ["x", "v + 20", "v + 45"], ["v", "f + 18", "f + 63"], ["f", 5, "68"]], "target_var_name": "b", "target_value": 68, "value_dict": {"f": 5}, "is_reverse": true}} | 19,270 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = 5; t = p + 19; v = f + 18; p = g + 1; g = q + 11; y = f + 15; l = s + 5; x = v + 20; r = y + 12; s = x + 5; q = r + 7; b = c + 2; c = l + 13. If f = 5, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = l + 13 to b, which gives b = l + 15.\n2. Substitute l = s + 5 to b, which gives b = s + 20.\n3. Substitute s = x + 5 to b, which gives b = x + 25.\n4. Substitute x = v + 20 to b, which gives b = v + 45.\n5. Substitute v = f + 18 to b, which gives b = f + 63.\n6. Substitute f = 5 to b, which gives b = 68.\n\nThus, the final answer is b = \\boxed{68}.",
"index": 19270,
"question": "Consider a system of variables where each variable is defined as follows: f = 5; t = p + 19; v = f + 18; p = g + 1; g = q + 11; y = f + 15; l = s + 5; x = v + 20; r = y + 12; s = x + 5; q = r + 7; b = c + 2; c = l + 13. If f = 5, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"h": "g + 13", "b": "h + 13", "s": "b + 11", "u": "s + 5", "w": "u + 4", "f": "w + 4", "n": "g + 1", "o": "n + 4", "z": "o + 9", "r": "z + 8", "e": "r + 10", "y": "e + 8", "g": 10}, "premises": {"g": 10}, "target": "f"}, "answer": {"steps": [["w", "u + 4", "u + 8"], ["u", "s + 5", "s + 13"], ["s", "b + 11", "b + 24"], ["b", "h + 13", "h + 37"], ["h", "g + 13", "g + 50"], ["g", 10, "60"]], "target_var_name": "f", "target_value": 60, "value_dict": {"g": 10}, "is_reverse": true}} | 19,271 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = g + 13; o = n + 4; z = o + 9; e = r + 10; w = u + 4; g = 10; n = g + 1; u = s + 5; r = z + 8; y = e + 8; s = b + 11; b = h + 13; f = w + 4. If g = 10, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = u + 4 to f, which gives f = u + 8.\n2. Substitute u = s + 5 to f, which gives f = s + 13.\n3. Substitute s = b + 11 to f, which gives f = b + 24.\n4. Substitute b = h + 13 to f, which gives f = h + 37.\n5. Substitute h = g + 13 to f, which gives f = g + 50.\n6. Substitute g = 10 to f, which gives f = 60.\n\nThus, the final answer is f = \\boxed{60}.",
"index": 19271,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = g + 13; o = n + 4; z = o + 9; e = r + 10; w = u + 4; g = 10; n = g + 1; u = s + 5; r = z + 8; y = e + 8; s = b + 11; b = h + 13; f = w + 4. If g = 10, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"w": "p + 17", "s": "w + 19", "g": "s + 14", "j": "g + 9", "u": "j + 17", "x": "u + 9", "m": "p + 11", "v": "m + 10", "i": "v + 3", "d": "i + 20", "k": "d + 17", "f": "k + 2", "p": 2}, "premises": {"p": 2}, "target": "x"}, "answer": {"steps": [["u", "j + 17", "j + 26"], ["j", "g + 9", "g + 35"], ["g", "s + 14", "s + 49"], ["s", "w + 19", "w + 68"], ["w", "p + 17", "p + 85"], ["p", 2, "87"]], "target_var_name": "x", "target_value": 87, "value_dict": {"p": 2}, "is_reverse": true}} | 19,272 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = d + 17; f = k + 2; g = s + 14; p = 2; j = g + 9; s = w + 19; d = i + 20; i = v + 3; v = m + 10; u = j + 17; m = p + 11; w = p + 17; x = u + 9. If p = 2, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = j + 17 to x, which gives x = j + 26.\n2. Substitute j = g + 9 to x, which gives x = g + 35.\n3. Substitute g = s + 14 to x, which gives x = s + 49.\n4. Substitute s = w + 19 to x, which gives x = w + 68.\n5. Substitute w = p + 17 to x, which gives x = p + 85.\n6. Substitute p = 2 to x, which gives x = 87.\n\nThus, the final answer is x = \\boxed{87}.",
"index": 19272,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = d + 17; f = k + 2; g = s + 14; p = 2; j = g + 9; s = w + 19; d = i + 20; i = v + 3; v = m + 10; u = j + 17; m = p + 11; w = p + 17; x = u + 9. If p = 2, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"k": "u + 10", "i": "k + 3", "v": "i + 20", "g": "v + 15", "s": "g + 6", "p": "s + 6", "l": "u + 4", "x": "l + 3", "w": "x + 19", "b": "w + 3", "t": "b + 5", "d": "t + 10", "u": 8}, "premises": {"u": 8}, "target": "p"}, "answer": {"steps": [["s", "g + 6", "g + 12"], ["g", "v + 15", "v + 27"], ["v", "i + 20", "i + 47"], ["i", "k + 3", "k + 50"], ["k", "u + 10", "u + 60"], ["u", 8, "68"]], "target_var_name": "p", "target_value": 68, "value_dict": {"u": 8}, "is_reverse": true}} | 19,273 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = g + 6; u = 8; p = s + 6; i = k + 3; g = v + 15; b = w + 3; w = x + 19; v = i + 20; d = t + 10; k = u + 10; l = u + 4; x = l + 3; t = b + 5. If u = 8, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = g + 6 to p, which gives p = g + 12.\n2. Substitute g = v + 15 to p, which gives p = v + 27.\n3. Substitute v = i + 20 to p, which gives p = i + 47.\n4. Substitute i = k + 3 to p, which gives p = k + 50.\n5. Substitute k = u + 10 to p, which gives p = u + 60.\n6. Substitute u = 8 to p, which gives p = 68.\n\nThus, the final answer is p = \\boxed{68}.",
"index": 19273,
"question": "Consider a system of variables where each variable is defined as follows: s = g + 6; u = 8; p = s + 6; i = k + 3; g = v + 15; b = w + 3; w = x + 19; v = i + 20; d = t + 10; k = u + 10; l = u + 4; x = l + 3; t = b + 5. If u = 8, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"a": "g + 8", "d": "a + 3", "r": "d + 7", "q": "r + 1", "m": "q + 3", "t": "m + 19", "o": "g + 1", "u": "o + 15", "e": "u + 1", "k": "e + 20", "y": "k + 14", "p": "y + 1", "g": 8}, "premises": {"g": 8}, "target": "t"}, "answer": {"steps": [["m", "q + 3", "q + 22"], ["q", "r + 1", "r + 23"], ["r", "d + 7", "d + 30"], ["d", "a + 3", "a + 33"], ["a", "g + 8", "g + 41"], ["g", 8, "49"]], "target_var_name": "t", "target_value": 49, "value_dict": {"g": 8}, "is_reverse": true}} | 19,274 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = e + 20; p = y + 1; d = a + 3; g = 8; r = d + 7; m = q + 3; q = r + 1; a = g + 8; o = g + 1; e = u + 1; t = m + 19; y = k + 14; u = o + 15. If g = 8, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = q + 3 to t, which gives t = q + 22.\n2. Substitute q = r + 1 to t, which gives t = r + 23.\n3. Substitute r = d + 7 to t, which gives t = d + 30.\n4. Substitute d = a + 3 to t, which gives t = a + 33.\n5. Substitute a = g + 8 to t, which gives t = g + 41.\n6. Substitute g = 8 to t, which gives t = 49.\n\nThus, the final answer is t = \\boxed{49}.",
"index": 19274,
"question": "Consider a system of variables where each variable is defined as follows: k = e + 20; p = y + 1; d = a + 3; g = 8; r = d + 7; m = q + 3; q = r + 1; a = g + 8; o = g + 1; e = u + 1; t = m + 19; y = k + 14; u = o + 15. If g = 8, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"d": "w + 20", "k": "d + 16", "g": "k + 9", "i": "g + 5", "z": "i + 12", "f": "z + 14", "r": "w + 8", "m": "r + 1", "p": "m + 12", "a": "p + 10", "q": "a + 15", "l": "q + 19", "w": 11}, "premises": {"w": 11}, "target": "f"}, "answer": {"steps": [["z", "i + 12", "i + 26"], ["i", "g + 5", "g + 31"], ["g", "k + 9", "k + 40"], ["k", "d + 16", "d + 56"], ["d", "w + 20", "w + 76"], ["w", 11, "87"]], "target_var_name": "f", "target_value": 87, "value_dict": {"w": 11}, "is_reverse": true}} | 19,275 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = 11; p = m + 12; f = z + 14; g = k + 9; q = a + 15; k = d + 16; i = g + 5; l = q + 19; a = p + 10; z = i + 12; r = w + 8; d = w + 20; m = r + 1. If w = 11, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = i + 12 to f, which gives f = i + 26.\n2. Substitute i = g + 5 to f, which gives f = g + 31.\n3. Substitute g = k + 9 to f, which gives f = k + 40.\n4. Substitute k = d + 16 to f, which gives f = d + 56.\n5. Substitute d = w + 20 to f, which gives f = w + 76.\n6. Substitute w = 11 to f, which gives f = 87.\n\nThus, the final answer is f = \\boxed{87}.",
"index": 19275,
"question": "Consider a system of variables where each variable is defined as follows: w = 11; p = m + 12; f = z + 14; g = k + 9; q = a + 15; k = d + 16; i = g + 5; l = q + 19; a = p + 10; z = i + 12; r = w + 8; d = w + 20; m = r + 1. If w = 11, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"s": "j + 17", "p": "s + 6", "b": "p + 11", "v": "b + 8", "c": "v + 16", "r": "c + 1", "i": "j + 9", "z": "i + 20", "h": "z + 12", "e": "h + 1", "k": "e + 11", "m": "k + 8", "j": 18}, "premises": {"j": 18}, "target": "r"}, "answer": {"steps": [["c", "v + 16", "v + 17"], ["v", "b + 8", "b + 25"], ["b", "p + 11", "p + 36"], ["p", "s + 6", "s + 42"], ["s", "j + 17", "j + 59"], ["j", 18, "77"]], "target_var_name": "r", "target_value": 77, "value_dict": {"j": 18}, "is_reverse": true}} | 19,276 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = e + 11; b = p + 11; h = z + 12; p = s + 6; r = c + 1; j = 18; z = i + 20; s = j + 17; e = h + 1; i = j + 9; m = k + 8; c = v + 16; v = b + 8. If j = 18, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = v + 16 to r, which gives r = v + 17.\n2. Substitute v = b + 8 to r, which gives r = b + 25.\n3. Substitute b = p + 11 to r, which gives r = p + 36.\n4. Substitute p = s + 6 to r, which gives r = s + 42.\n5. Substitute s = j + 17 to r, which gives r = j + 59.\n6. Substitute j = 18 to r, which gives r = 77.\n\nThus, the final answer is r = \\boxed{77}.",
"index": 19276,
"question": "Consider a system of variables where each variable is defined as follows: k = e + 11; b = p + 11; h = z + 12; p = s + 6; r = c + 1; j = 18; z = i + 20; s = j + 17; e = h + 1; i = j + 9; m = k + 8; c = v + 16; v = b + 8. If j = 18, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"k": "c + 20", "a": "k + 7", "t": "a + 15", "j": "t + 18", "f": "j + 5", "b": "f + 18", "x": "c + 16", "z": "x + 13", "p": "z + 19", "s": "p + 9", "n": "s + 3", "d": "n + 19", "c": 17}, "premises": {"c": 17}, "target": "b"}, "answer": {"steps": [["f", "j + 5", "j + 23"], ["j", "t + 18", "t + 41"], ["t", "a + 15", "a + 56"], ["a", "k + 7", "k + 63"], ["k", "c + 20", "c + 83"], ["c", 17, "100"]], "target_var_name": "b", "target_value": 100, "value_dict": {"c": 17}, "is_reverse": true}} | 19,277 | 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 = f + 18; a = k + 7; c = 17; z = x + 13; x = c + 16; n = s + 3; k = c + 20; d = n + 19; t = a + 15; f = j + 5; p = z + 19; j = t + 18; s = p + 9. If c = 17, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = j + 5 to b, which gives b = j + 23.\n2. Substitute j = t + 18 to b, which gives b = t + 41.\n3. Substitute t = a + 15 to b, which gives b = a + 56.\n4. Substitute a = k + 7 to b, which gives b = k + 63.\n5. Substitute k = c + 20 to b, which gives b = c + 83.\n6. Substitute c = 17 to b, which gives b = 100.\n\nThus, the final answer is b = \\boxed{100}.",
"index": 19277,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = f + 18; a = k + 7; c = 17; z = x + 13; x = c + 16; n = s + 3; k = c + 20; d = n + 19; t = a + 15; f = j + 5; p = z + 19; j = t + 18; s = p + 9. If c = 17, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"f": "n + 6", "l": "f + 10", "b": "l + 17", "k": "b + 15", "s": "k + 11", "t": "s + 13", "o": "n + 11", "i": "o + 8", "d": "i + 11", "e": "d + 15", "j": "e + 19", "a": "j + 7", "n": 20}, "premises": {"n": 20}, "target": "t"}, "answer": {"steps": [["s", "k + 11", "k + 24"], ["k", "b + 15", "b + 39"], ["b", "l + 17", "l + 56"], ["l", "f + 10", "f + 66"], ["f", "n + 6", "n + 72"], ["n", 20, "92"]], "target_var_name": "t", "target_value": 92, "value_dict": {"n": 20}, "is_reverse": true}} | 19,278 | 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 = n + 11; b = l + 17; i = o + 8; e = d + 15; k = b + 15; n = 20; l = f + 10; d = i + 11; t = s + 13; f = n + 6; a = j + 7; s = k + 11; j = e + 19. If n = 20, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = k + 11 to t, which gives t = k + 24.\n2. Substitute k = b + 15 to t, which gives t = b + 39.\n3. Substitute b = l + 17 to t, which gives t = l + 56.\n4. Substitute l = f + 10 to t, which gives t = f + 66.\n5. Substitute f = n + 6 to t, which gives t = n + 72.\n6. Substitute n = 20 to t, which gives t = 92.\n\nThus, the final answer is t = \\boxed{92}.",
"index": 19278,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = n + 11; b = l + 17; i = o + 8; e = d + 15; k = b + 15; n = 20; l = f + 10; d = i + 11; t = s + 13; f = n + 6; a = j + 7; s = k + 11; j = e + 19. If n = 20, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"v": "g + 11", "u": "v + 9", "q": "u + 6", "r": "q + 8", "n": "r + 13", "x": "n + 17", "t": "g + 2", "k": "t + 3", "z": "k + 19", "w": "z + 20", "d": "w + 8", "p": "d + 1", "g": 10}, "premises": {"g": 10}, "target": "x"}, "answer": {"steps": [["n", "r + 13", "r + 30"], ["r", "q + 8", "q + 38"], ["q", "u + 6", "u + 44"], ["u", "v + 9", "v + 53"], ["v", "g + 11", "g + 64"], ["g", 10, "74"]], "target_var_name": "x", "target_value": 74, "value_dict": {"g": 10}, "is_reverse": true}} | 19,279 | 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 + 17; u = v + 9; n = r + 13; t = g + 2; g = 10; d = w + 8; k = t + 3; p = d + 1; w = z + 20; q = u + 6; v = g + 11; r = q + 8; z = k + 19. If g = 10, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = r + 13 to x, which gives x = r + 30.\n2. Substitute r = q + 8 to x, which gives x = q + 38.\n3. Substitute q = u + 6 to x, which gives x = u + 44.\n4. Substitute u = v + 9 to x, which gives x = v + 53.\n5. Substitute v = g + 11 to x, which gives x = g + 64.\n6. Substitute g = 10 to x, which gives x = 74.\n\nThus, the final answer is x = \\boxed{74}.",
"index": 19279,
"question": "Consider a system of variables where each variable is defined as follows: x = n + 17; u = v + 9; n = r + 13; t = g + 2; g = 10; d = w + 8; k = t + 3; p = d + 1; w = z + 20; q = u + 6; v = g + 11; r = q + 8; z = k + 19. If g = 10, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"e": "c + 12", "o": "e + 13", "t": "o + 20", "q": "t + 5", "v": "q + 2", "s": "v + 6", "x": "c + 10", "p": "x + 15", "i": "p + 12", "a": "i + 13", "g": "a + 12", "k": "g + 5", "c": 18}, "premises": {"c": 18}, "target": "s"}, "answer": {"steps": [["v", "q + 2", "q + 8"], ["q", "t + 5", "t + 13"], ["t", "o + 20", "o + 33"], ["o", "e + 13", "e + 46"], ["e", "c + 12", "c + 58"], ["c", 18, "76"]], "target_var_name": "s", "target_value": 76, "value_dict": {"c": 18}, "is_reverse": true}} | 19,280 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = x + 15; v = q + 2; t = o + 20; s = v + 6; c = 18; k = g + 5; q = t + 5; o = e + 13; x = c + 10; i = p + 12; g = a + 12; e = c + 12; a = i + 13. If c = 18, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = q + 2 to s, which gives s = q + 8.\n2. Substitute q = t + 5 to s, which gives s = t + 13.\n3. Substitute t = o + 20 to s, which gives s = o + 33.\n4. Substitute o = e + 13 to s, which gives s = e + 46.\n5. Substitute e = c + 12 to s, which gives s = c + 58.\n6. Substitute c = 18 to s, which gives s = 76.\n\nThus, the final answer is s = \\boxed{76}.",
"index": 19280,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = x + 15; v = q + 2; t = o + 20; s = v + 6; c = 18; k = g + 5; q = t + 5; o = e + 13; x = c + 10; i = p + 12; g = a + 12; e = c + 12; a = i + 13. If c = 18, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"r": "o + 9", "a": "r + 4", "f": "a + 5", "j": "f + 7", "g": "j + 2", "k": "g + 15", "w": "o + 9", "m": "w + 9", "z": "m + 2", "s": "z + 12", "i": "s + 9", "d": "i + 12", "o": 12}, "premises": {"o": 12}, "target": "k"}, "answer": {"steps": [["g", "j + 2", "j + 17"], ["j", "f + 7", "f + 24"], ["f", "a + 5", "a + 29"], ["a", "r + 4", "r + 33"], ["r", "o + 9", "o + 42"], ["o", 12, "54"]], "target_var_name": "k", "target_value": 54, "value_dict": {"o": 12}, "is_reverse": true}} | 19,281 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = r + 4; m = w + 9; d = i + 12; o = 12; j = f + 7; i = s + 9; s = z + 12; g = j + 2; z = m + 2; f = a + 5; r = o + 9; k = g + 15; w = o + 9. If o = 12, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = j + 2 to k, which gives k = j + 17.\n2. Substitute j = f + 7 to k, which gives k = f + 24.\n3. Substitute f = a + 5 to k, which gives k = a + 29.\n4. Substitute a = r + 4 to k, which gives k = r + 33.\n5. Substitute r = o + 9 to k, which gives k = o + 42.\n6. Substitute o = 12 to k, which gives k = 54.\n\nThus, the final answer is k = \\boxed{54}.",
"index": 19281,
"question": "Consider a system of variables where each variable is defined as follows: a = r + 4; m = w + 9; d = i + 12; o = 12; j = f + 7; i = s + 9; s = z + 12; g = j + 2; z = m + 2; f = a + 5; r = o + 9; k = g + 15; w = o + 9. If o = 12, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"a": "q + 6", "k": "a + 13", "v": "k + 9", "w": "v + 2", "m": "w + 15", "i": "m + 6", "u": "q + 5", "j": "u + 17", "r": "j + 16", "s": "r + 17", "c": "s + 20", "t": "c + 6", "q": 5}, "premises": {"q": 5}, "target": "i"}, "answer": {"steps": [["m", "w + 15", "w + 21"], ["w", "v + 2", "v + 23"], ["v", "k + 9", "k + 32"], ["k", "a + 13", "a + 45"], ["a", "q + 6", "q + 51"], ["q", 5, "56"]], "target_var_name": "i", "target_value": 56, "value_dict": {"q": 5}, "is_reverse": true}} | 19,282 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = j + 16; w = v + 2; c = s + 20; m = w + 15; j = u + 17; q = 5; k = a + 13; i = m + 6; u = q + 5; s = r + 17; a = q + 6; t = c + 6; v = k + 9. If q = 5, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = w + 15 to i, which gives i = w + 21.\n2. Substitute w = v + 2 to i, which gives i = v + 23.\n3. Substitute v = k + 9 to i, which gives i = k + 32.\n4. Substitute k = a + 13 to i, which gives i = a + 45.\n5. Substitute a = q + 6 to i, which gives i = q + 51.\n6. Substitute q = 5 to i, which gives i = 56.\n\nThus, the final answer is i = \\boxed{56}.",
"index": 19282,
"question": "Consider a system of variables where each variable is defined as follows: r = j + 16; w = v + 2; c = s + 20; m = w + 15; j = u + 17; q = 5; k = a + 13; i = m + 6; u = q + 5; s = r + 17; a = q + 6; t = c + 6; v = k + 9. If q = 5, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"a": "i + 6", "g": "a + 10", "e": "g + 9", "h": "e + 15", "z": "h + 16", "x": "z + 15", "l": "i + 3", "p": "l + 20", "w": "p + 20", "r": "w + 8", "n": "r + 18", "j": "n + 17", "i": 6}, "premises": {"i": 6}, "target": "x"}, "answer": {"steps": [["z", "h + 16", "h + 31"], ["h", "e + 15", "e + 46"], ["e", "g + 9", "g + 55"], ["g", "a + 10", "a + 65"], ["a", "i + 6", "i + 71"], ["i", 6, "77"]], "target_var_name": "x", "target_value": 77, "value_dict": {"i": 6}, "is_reverse": true}} | 19,283 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = l + 20; i = 6; z = h + 16; a = i + 6; w = p + 20; g = a + 10; n = r + 18; h = e + 15; e = g + 9; j = n + 17; r = w + 8; l = i + 3; x = z + 15. If i = 6, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = h + 16 to x, which gives x = h + 31.\n2. Substitute h = e + 15 to x, which gives x = e + 46.\n3. Substitute e = g + 9 to x, which gives x = g + 55.\n4. Substitute g = a + 10 to x, which gives x = a + 65.\n5. Substitute a = i + 6 to x, which gives x = i + 71.\n6. Substitute i = 6 to x, which gives x = 77.\n\nThus, the final answer is x = \\boxed{77}.",
"index": 19283,
"question": "Consider a system of variables where each variable is defined as follows: p = l + 20; i = 6; z = h + 16; a = i + 6; w = p + 20; g = a + 10; n = r + 18; h = e + 15; e = g + 9; j = n + 17; r = w + 8; l = i + 3; x = z + 15. If i = 6, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"z": "a + 14", "u": "z + 4", "l": "u + 2", "o": "l + 20", "p": "o + 7", "q": "p + 4", "f": "a + 20", "w": "f + 20", "c": "w + 3", "g": "c + 3", "b": "g + 7", "d": "b + 17", "a": 8}, "premises": {"a": 8}, "target": "q"}, "answer": {"steps": [["p", "o + 7", "o + 11"], ["o", "l + 20", "l + 31"], ["l", "u + 2", "u + 33"], ["u", "z + 4", "z + 37"], ["z", "a + 14", "a + 51"], ["a", 8, "59"]], "target_var_name": "q", "target_value": 59, "value_dict": {"a": 8}, "is_reverse": true}} | 19,284 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = a + 20; b = g + 7; g = c + 3; a = 8; u = z + 4; p = o + 7; z = a + 14; w = f + 20; d = b + 17; l = u + 2; c = w + 3; q = p + 4; o = l + 20. If a = 8, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = o + 7 to q, which gives q = o + 11.\n2. Substitute o = l + 20 to q, which gives q = l + 31.\n3. Substitute l = u + 2 to q, which gives q = u + 33.\n4. Substitute u = z + 4 to q, which gives q = z + 37.\n5. Substitute z = a + 14 to q, which gives q = a + 51.\n6. Substitute a = 8 to q, which gives q = 59.\n\nThus, the final answer is q = \\boxed{59}.",
"index": 19284,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = a + 20; b = g + 7; g = c + 3; a = 8; u = z + 4; p = o + 7; z = a + 14; w = f + 20; d = b + 17; l = u + 2; c = w + 3; q = p + 4; o = l + 20. If a = 8, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"g": "u + 17", "o": "g + 1", "k": "o + 6", "t": "k + 12", "c": "t + 2", "z": "c + 5", "w": "u + 18", "s": "w + 19", "v": "s + 13", "f": "v + 20", "a": "f + 15", "y": "a + 11", "u": 14}, "premises": {"u": 14}, "target": "z"}, "answer": {"steps": [["c", "t + 2", "t + 7"], ["t", "k + 12", "k + 19"], ["k", "o + 6", "o + 25"], ["o", "g + 1", "g + 26"], ["g", "u + 17", "u + 43"], ["u", 14, "57"]], "target_var_name": "z", "target_value": 57, "value_dict": {"u": 14}, "is_reverse": true}} | 19,285 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = o + 6; c = t + 2; a = f + 15; g = u + 17; t = k + 12; u = 14; v = s + 13; f = v + 20; o = g + 1; w = u + 18; y = a + 11; z = c + 5; s = w + 19. Given that u = 14, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = t + 2 to z, which gives z = t + 7.\n2. Substitute t = k + 12 to z, which gives z = k + 19.\n3. Substitute k = o + 6 to z, which gives z = o + 25.\n4. Substitute o = g + 1 to z, which gives z = g + 26.\n5. Substitute g = u + 17 to z, which gives z = u + 43.\n6. Substitute u = 14 to z, which gives z = 57.\n\nThus, the final answer is z = \\boxed{57}.",
"index": 19285,
"question": "Suppose a collection of variables is related by the following definitions: k = o + 6; c = t + 2; a = f + 15; g = u + 17; t = k + 12; u = 14; v = s + 13; f = v + 20; o = g + 1; w = u + 18; y = a + 11; z = c + 5; s = w + 19. Given that u = 14, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"m": "b + 2", "k": "m + 19", "i": "k + 8", "d": "i + 5", "s": "d + 20", "h": "s + 3", "z": "b + 8", "e": "z + 1", "w": "e + 1", "y": "w + 11", "a": "y + 2", "u": "a + 4", "b": 18}, "premises": {"b": 18}, "target": "h"}, "answer": {"steps": [["s", "d + 20", "d + 23"], ["d", "i + 5", "i + 28"], ["i", "k + 8", "k + 36"], ["k", "m + 19", "m + 55"], ["m", "b + 2", "b + 57"], ["b", 18, "75"]], "target_var_name": "h", "target_value": 75, "value_dict": {"b": 18}, "is_reverse": true}} | 19,286 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = b + 2; y = w + 11; s = d + 20; b = 18; z = b + 8; u = a + 4; d = i + 5; i = k + 8; e = z + 1; h = s + 3; a = y + 2; k = m + 19; w = e + 1. If b = 18, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = d + 20 to h, which gives h = d + 23.\n2. Substitute d = i + 5 to h, which gives h = i + 28.\n3. Substitute i = k + 8 to h, which gives h = k + 36.\n4. Substitute k = m + 19 to h, which gives h = m + 55.\n5. Substitute m = b + 2 to h, which gives h = b + 57.\n6. Substitute b = 18 to h, which gives h = 75.\n\nThus, the final answer is h = \\boxed{75}.",
"index": 19286,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = b + 2; y = w + 11; s = d + 20; b = 18; z = b + 8; u = a + 4; d = i + 5; i = k + 8; e = z + 1; h = s + 3; a = y + 2; k = m + 19; w = e + 1. If b = 18, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"a": "o + 17", "m": "a + 12", "z": "m + 11", "p": "z + 14", "v": "p + 6", "q": "v + 18", "g": "o + 8", "w": "g + 17", "k": "w + 3", "r": "k + 10", "t": "r + 15", "b": "t + 12", "o": 3}, "premises": {"o": 3}, "target": "q"}, "answer": {"steps": [["v", "p + 6", "p + 24"], ["p", "z + 14", "z + 38"], ["z", "m + 11", "m + 49"], ["m", "a + 12", "a + 61"], ["a", "o + 17", "o + 78"], ["o", 3, "81"]], "target_var_name": "q", "target_value": 81, "value_dict": {"o": 3}, "is_reverse": true}} | 19,287 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = p + 6; q = v + 18; z = m + 11; a = o + 17; g = o + 8; t = r + 15; k = w + 3; o = 3; b = t + 12; p = z + 14; m = a + 12; r = k + 10; w = g + 17. Given that o = 3, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = p + 6 to q, which gives q = p + 24.\n2. Substitute p = z + 14 to q, which gives q = z + 38.\n3. Substitute z = m + 11 to q, which gives q = m + 49.\n4. Substitute m = a + 12 to q, which gives q = a + 61.\n5. Substitute a = o + 17 to q, which gives q = o + 78.\n6. Substitute o = 3 to q, which gives q = 81.\n\nThus, the final answer is q = \\boxed{81}.",
"index": 19287,
"question": "Suppose a collection of variables is related by the following definitions: v = p + 6; q = v + 18; z = m + 11; a = o + 17; g = o + 8; t = r + 15; k = w + 3; o = 3; b = t + 12; p = z + 14; m = a + 12; r = k + 10; w = g + 17. Given that o = 3, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"p": "m + 12", "f": "p + 2", "h": "f + 16", "j": "h + 13", "l": "j + 16", "y": "l + 3", "a": "m + 20", "s": "a + 10", "i": "s + 11", "n": "i + 3", "u": "n + 10", "t": "u + 3", "m": 7}, "premises": {"m": 7}, "target": "y"}, "answer": {"steps": [["l", "j + 16", "j + 19"], ["j", "h + 13", "h + 32"], ["h", "f + 16", "f + 48"], ["f", "p + 2", "p + 50"], ["p", "m + 12", "m + 62"], ["m", 7, "69"]], "target_var_name": "y", "target_value": 69, "value_dict": {"m": 7}, "is_reverse": true}} | 19,288 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = l + 3; n = i + 3; i = s + 11; s = a + 10; f = p + 2; j = h + 13; t = u + 3; p = m + 12; l = j + 16; h = f + 16; m = 7; u = n + 10; a = m + 20. Given that m = 7, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = j + 16 to y, which gives y = j + 19.\n2. Substitute j = h + 13 to y, which gives y = h + 32.\n3. Substitute h = f + 16 to y, which gives y = f + 48.\n4. Substitute f = p + 2 to y, which gives y = p + 50.\n5. Substitute p = m + 12 to y, which gives y = m + 62.\n6. Substitute m = 7 to y, which gives y = 69.\n\nThus, the final answer is y = \\boxed{69}.",
"index": 19288,
"question": "Suppose a collection of variables is related by the following definitions: y = l + 3; n = i + 3; i = s + 11; s = a + 10; f = p + 2; j = h + 13; t = u + 3; p = m + 12; l = j + 16; h = f + 16; m = 7; u = n + 10; a = m + 20. Given that m = 7, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"o": "f + 14", "i": "o + 7", "l": "i + 12", "j": "l + 17", "m": "j + 14", "a": "m + 12", "s": "f + 7", "w": "s + 10", "t": "w + 18", "b": "t + 12", "y": "b + 1", "h": "y + 3", "f": 13}, "premises": {"f": 13}, "target": "a"}, "answer": {"steps": [["m", "j + 14", "j + 26"], ["j", "l + 17", "l + 43"], ["l", "i + 12", "i + 55"], ["i", "o + 7", "o + 62"], ["o", "f + 14", "f + 76"], ["f", 13, "89"]], "target_var_name": "a", "target_value": 89, "value_dict": {"f": 13}, "is_reverse": true}} | 19,289 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = f + 7; a = m + 12; w = s + 10; h = y + 3; i = o + 7; y = b + 1; f = 13; l = i + 12; j = l + 17; o = f + 14; b = t + 12; t = w + 18; m = j + 14. If f = 13, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = j + 14 to a, which gives a = j + 26.\n2. Substitute j = l + 17 to a, which gives a = l + 43.\n3. Substitute l = i + 12 to a, which gives a = i + 55.\n4. Substitute i = o + 7 to a, which gives a = o + 62.\n5. Substitute o = f + 14 to a, which gives a = f + 76.\n6. Substitute f = 13 to a, which gives a = 89.\n\nThus, the final answer is a = \\boxed{89}.",
"index": 19289,
"question": "Consider a system of variables where each variable is defined as follows: s = f + 7; a = m + 12; w = s + 10; h = y + 3; i = o + 7; y = b + 1; f = 13; l = i + 12; j = l + 17; o = f + 14; b = t + 12; t = w + 18; m = j + 14. If f = 13, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"q": "n + 16", "f": "q + 17", "o": "f + 17", "s": "o + 9", "p": "s + 16", "b": "p + 13", "k": "n + 17", "c": "k + 7", "e": "c + 1", "d": "e + 7", "t": "d + 16", "j": "t + 11", "n": 12}, "premises": {"n": 12}, "target": "b"}, "answer": {"steps": [["p", "s + 16", "s + 29"], ["s", "o + 9", "o + 38"], ["o", "f + 17", "f + 55"], ["f", "q + 17", "q + 72"], ["q", "n + 16", "n + 88"], ["n", 12, "100"]], "target_var_name": "b", "target_value": 100, "value_dict": {"n": 12}, "is_reverse": true}} | 19,290 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = s + 16; q = n + 16; f = q + 17; t = d + 16; o = f + 17; s = o + 9; n = 12; e = c + 1; b = p + 13; c = k + 7; j = t + 11; k = n + 17; d = e + 7. If n = 12, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = s + 16 to b, which gives b = s + 29.\n2. Substitute s = o + 9 to b, which gives b = o + 38.\n3. Substitute o = f + 17 to b, which gives b = f + 55.\n4. Substitute f = q + 17 to b, which gives b = q + 72.\n5. Substitute q = n + 16 to b, which gives b = n + 88.\n6. Substitute n = 12 to b, which gives b = 100.\n\nThus, the final answer is b = \\boxed{100}.",
"index": 19290,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = s + 16; q = n + 16; f = q + 17; t = d + 16; o = f + 17; s = o + 9; n = 12; e = c + 1; b = p + 13; c = k + 7; j = t + 11; k = n + 17; d = e + 7. If n = 12, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"w": "q + 9", "b": "w + 14", "n": "b + 11", "t": "n + 7", "y": "t + 4", "o": "y + 17", "e": "q + 6", "l": "e + 17", "j": "l + 10", "k": "j + 16", "x": "k + 13", "s": "x + 12", "q": 18}, "premises": {"q": 18}, "target": "o"}, "answer": {"steps": [["y", "t + 4", "t + 21"], ["t", "n + 7", "n + 28"], ["n", "b + 11", "b + 39"], ["b", "w + 14", "w + 53"], ["w", "q + 9", "q + 62"], ["q", 18, "80"]], "target_var_name": "o", "target_value": 80, "value_dict": {"q": 18}, "is_reverse": true}} | 19,291 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = e + 17; j = l + 10; e = q + 6; t = n + 7; y = t + 4; w = q + 9; o = y + 17; b = w + 14; s = x + 12; k = j + 16; x = k + 13; n = b + 11; q = 18. Given that q = 18, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = t + 4 to o, which gives o = t + 21.\n2. Substitute t = n + 7 to o, which gives o = n + 28.\n3. Substitute n = b + 11 to o, which gives o = b + 39.\n4. Substitute b = w + 14 to o, which gives o = w + 53.\n5. Substitute w = q + 9 to o, which gives o = q + 62.\n6. Substitute q = 18 to o, which gives o = 80.\n\nThus, the final answer is o = \\boxed{80}.",
"index": 19291,
"question": "Suppose a collection of variables is related by the following definitions: l = e + 17; j = l + 10; e = q + 6; t = n + 7; y = t + 4; w = q + 9; o = y + 17; b = w + 14; s = x + 12; k = j + 16; x = k + 13; n = b + 11; q = 18. Given that q = 18, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"y": "b + 20", "j": "y + 3", "h": "j + 19", "r": "h + 8", "f": "r + 2", "s": "f + 14", "p": "b + 17", "x": "p + 9", "i": "x + 16", "e": "i + 9", "u": "e + 14", "g": "u + 13", "b": 2}, "premises": {"b": 2}, "target": "s"}, "answer": {"steps": [["f", "r + 2", "r + 16"], ["r", "h + 8", "h + 24"], ["h", "j + 19", "j + 43"], ["j", "y + 3", "y + 46"], ["y", "b + 20", "b + 66"], ["b", 2, "68"]], "target_var_name": "s", "target_value": 68, "value_dict": {"b": 2}, "is_reverse": true}} | 19,292 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = e + 14; e = i + 9; f = r + 2; p = b + 17; y = b + 20; g = u + 13; i = x + 16; x = p + 9; h = j + 19; r = h + 8; b = 2; s = f + 14; j = y + 3. If b = 2, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = r + 2 to s, which gives s = r + 16.\n2. Substitute r = h + 8 to s, which gives s = h + 24.\n3. Substitute h = j + 19 to s, which gives s = j + 43.\n4. Substitute j = y + 3 to s, which gives s = y + 46.\n5. Substitute y = b + 20 to s, which gives s = b + 66.\n6. Substitute b = 2 to s, which gives s = 68.\n\nThus, the final answer is s = \\boxed{68}.",
"index": 19292,
"question": "Consider a system of variables where each variable is defined as follows: u = e + 14; e = i + 9; f = r + 2; p = b + 17; y = b + 20; g = u + 13; i = x + 16; x = p + 9; h = j + 19; r = h + 8; b = 2; s = f + 14; j = y + 3. If b = 2, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"a": "i + 16", "r": "a + 1", "g": "r + 12", "p": "g + 18", "u": "p + 8", "o": "u + 4", "t": "i + 9", "v": "t + 10", "y": "v + 18", "w": "y + 7", "x": "w + 18", "k": "x + 12", "i": 7}, "premises": {"i": 7}, "target": "o"}, "answer": {"steps": [["u", "p + 8", "p + 12"], ["p", "g + 18", "g + 30"], ["g", "r + 12", "r + 42"], ["r", "a + 1", "a + 43"], ["a", "i + 16", "i + 59"], ["i", 7, "66"]], "target_var_name": "o", "target_value": 66, "value_dict": {"i": 7}, "is_reverse": true}} | 19,293 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = 7; w = y + 7; u = p + 8; r = a + 1; a = i + 16; y = v + 18; p = g + 18; g = r + 12; o = u + 4; x = w + 18; k = x + 12; v = t + 10; t = i + 9. Given that i = 7, find the value of o.",
"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 + 8 to o, which gives o = p + 12.\n2. Substitute p = g + 18 to o, which gives o = g + 30.\n3. Substitute g = r + 12 to o, which gives o = r + 42.\n4. Substitute r = a + 1 to o, which gives o = a + 43.\n5. Substitute a = i + 16 to o, which gives o = i + 59.\n6. Substitute i = 7 to o, which gives o = 66.\n\nThus, the final answer is o = \\boxed{66}.",
"index": 19293,
"question": "Suppose a collection of variables is related by the following definitions: i = 7; w = y + 7; u = p + 8; r = a + 1; a = i + 16; y = v + 18; p = g + 18; g = r + 12; o = u + 4; x = w + 18; k = x + 12; v = t + 10; t = i + 9. Given that i = 7, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"n": "a + 6", "k": "n + 7", "m": "k + 18", "o": "m + 12", "x": "o + 2", "v": "x + 17", "j": "a + 4", "c": "j + 12", "t": "c + 1", "z": "t + 14", "h": "z + 4", "d": "h + 19", "a": 1}, "premises": {"a": 1}, "target": "v"}, "answer": {"steps": [["x", "o + 2", "o + 19"], ["o", "m + 12", "m + 31"], ["m", "k + 18", "k + 49"], ["k", "n + 7", "n + 56"], ["n", "a + 6", "a + 62"], ["a", 1, "63"]], "target_var_name": "v", "target_value": 63, "value_dict": {"a": 1}, "is_reverse": true}} | 19,294 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = z + 4; t = c + 1; o = m + 12; x = o + 2; v = x + 17; j = a + 4; d = h + 19; z = t + 14; k = n + 7; m = k + 18; n = a + 6; c = j + 12; a = 1. Given that a = 1, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = o + 2 to v, which gives v = o + 19.\n2. Substitute o = m + 12 to v, which gives v = m + 31.\n3. Substitute m = k + 18 to v, which gives v = k + 49.\n4. Substitute k = n + 7 to v, which gives v = n + 56.\n5. Substitute n = a + 6 to v, which gives v = a + 62.\n6. Substitute a = 1 to v, which gives v = 63.\n\nThus, the final answer is v = \\boxed{63}.",
"index": 19294,
"question": "Suppose a collection of variables is related by the following definitions: h = z + 4; t = c + 1; o = m + 12; x = o + 2; v = x + 17; j = a + 4; d = h + 19; z = t + 14; k = n + 7; m = k + 18; n = a + 6; c = j + 12; a = 1. Given that a = 1, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"f": "u + 16", "c": "f + 8", "k": "c + 11", "b": "k + 8", "v": "b + 7", "y": "v + 8", "d": "u + 13", "a": "d + 9", "i": "a + 10", "h": "i + 3", "z": "h + 11", "n": "z + 2", "u": 7}, "premises": {"u": 7}, "target": "y"}, "answer": {"steps": [["v", "b + 7", "b + 15"], ["b", "k + 8", "k + 23"], ["k", "c + 11", "c + 34"], ["c", "f + 8", "f + 42"], ["f", "u + 16", "u + 58"], ["u", 7, "65"]], "target_var_name": "y", "target_value": 65, "value_dict": {"u": 7}, "is_reverse": true}} | 19,295 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = d + 9; c = f + 8; b = k + 8; u = 7; i = a + 10; n = z + 2; z = h + 11; y = v + 8; k = c + 11; d = u + 13; v = b + 7; h = i + 3; f = u + 16. If u = 7, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = b + 7 to y, which gives y = b + 15.\n2. Substitute b = k + 8 to y, which gives y = k + 23.\n3. Substitute k = c + 11 to y, which gives y = c + 34.\n4. Substitute c = f + 8 to y, which gives y = f + 42.\n5. Substitute f = u + 16 to y, which gives y = u + 58.\n6. Substitute u = 7 to y, which gives y = 65.\n\nThus, the final answer is y = \\boxed{65}.",
"index": 19295,
"question": "Consider a system of variables where each variable is defined as follows: a = d + 9; c = f + 8; b = k + 8; u = 7; i = a + 10; n = z + 2; z = h + 11; y = v + 8; k = c + 11; d = u + 13; v = b + 7; h = i + 3; f = u + 16. If u = 7, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"t": "q + 20", "h": "t + 13", "e": "h + 10", "l": "e + 14", "f": "l + 17", "y": "f + 10", "a": "q + 10", "r": "a + 18", "v": "r + 10", "s": "v + 18", "g": "s + 11", "p": "g + 13", "q": 9}, "premises": {"q": 9}, "target": "y"}, "answer": {"steps": [["f", "l + 17", "l + 27"], ["l", "e + 14", "e + 41"], ["e", "h + 10", "h + 51"], ["h", "t + 13", "t + 64"], ["t", "q + 20", "q + 84"], ["q", 9, "93"]], "target_var_name": "y", "target_value": 93, "value_dict": {"q": 9}, "is_reverse": true}} | 19,296 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = a + 18; g = s + 11; h = t + 13; t = q + 20; s = v + 18; f = l + 17; p = g + 13; v = r + 10; q = 9; y = f + 10; e = h + 10; a = q + 10; l = e + 14. Given that q = 9, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = l + 17 to y, which gives y = l + 27.\n2. Substitute l = e + 14 to y, which gives y = e + 41.\n3. Substitute e = h + 10 to y, which gives y = h + 51.\n4. Substitute h = t + 13 to y, which gives y = t + 64.\n5. Substitute t = q + 20 to y, which gives y = q + 84.\n6. Substitute q = 9 to y, which gives y = 93.\n\nThus, the final answer is y = \\boxed{93}.",
"index": 19296,
"question": "Suppose a collection of variables is related by the following definitions: r = a + 18; g = s + 11; h = t + 13; t = q + 20; s = v + 18; f = l + 17; p = g + 13; v = r + 10; q = 9; y = f + 10; e = h + 10; a = q + 10; l = e + 14. Given that q = 9, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"d": "f + 18", "s": "d + 18", "i": "s + 2", "r": "i + 2", "o": "r + 11", "n": "o + 8", "b": "f + 7", "t": "b + 16", "m": "t + 11", "a": "m + 13", "l": "a + 1", "h": "l + 1", "f": 13}, "premises": {"f": 13}, "target": "n"}, "answer": {"steps": [["o", "r + 11", "r + 19"], ["r", "i + 2", "i + 21"], ["i", "s + 2", "s + 23"], ["s", "d + 18", "d + 41"], ["d", "f + 18", "f + 59"], ["f", 13, "72"]], "target_var_name": "n", "target_value": 72, "value_dict": {"f": 13}, "is_reverse": true}} | 19,297 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = o + 8; l = a + 1; m = t + 11; a = m + 13; s = d + 18; t = b + 16; o = r + 11; f = 13; d = f + 18; h = l + 1; i = s + 2; b = f + 7; r = i + 2. If f = 13, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = r + 11 to n, which gives n = r + 19.\n2. Substitute r = i + 2 to n, which gives n = i + 21.\n3. Substitute i = s + 2 to n, which gives n = s + 23.\n4. Substitute s = d + 18 to n, which gives n = d + 41.\n5. Substitute d = f + 18 to n, which gives n = f + 59.\n6. Substitute f = 13 to n, which gives n = 72.\n\nThus, the final answer is n = \\boxed{72}.",
"index": 19297,
"question": "Consider a system of variables where each variable is defined as follows: n = o + 8; l = a + 1; m = t + 11; a = m + 13; s = d + 18; t = b + 16; o = r + 11; f = 13; d = f + 18; h = l + 1; i = s + 2; b = f + 7; r = i + 2. If f = 13, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"t": "b + 12", "c": "t + 13", "e": "c + 16", "o": "e + 20", "u": "o + 11", "q": "u + 3", "j": "b + 19", "y": "j + 18", "k": "y + 13", "s": "k + 15", "f": "s + 8", "l": "f + 1", "b": 15}, "premises": {"b": 15}, "target": "q"}, "answer": {"steps": [["u", "o + 11", "o + 14"], ["o", "e + 20", "e + 34"], ["e", "c + 16", "c + 50"], ["c", "t + 13", "t + 63"], ["t", "b + 12", "b + 75"], ["b", 15, "90"]], "target_var_name": "q", "target_value": 90, "value_dict": {"b": 15}, "is_reverse": true}} | 19,298 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = f + 1; q = u + 3; e = c + 16; t = b + 12; s = k + 15; b = 15; y = j + 18; u = o + 11; j = b + 19; k = y + 13; o = e + 20; c = t + 13; f = s + 8. Given that b = 15, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = o + 11 to q, which gives q = o + 14.\n2. Substitute o = e + 20 to q, which gives q = e + 34.\n3. Substitute e = c + 16 to q, which gives q = c + 50.\n4. Substitute c = t + 13 to q, which gives q = t + 63.\n5. Substitute t = b + 12 to q, which gives q = b + 75.\n6. Substitute b = 15 to q, which gives q = 90.\n\nThus, the final answer is q = \\boxed{90}.",
"index": 19298,
"question": "Suppose a collection of variables is related by the following definitions: l = f + 1; q = u + 3; e = c + 16; t = b + 12; s = k + 15; b = 15; y = j + 18; u = o + 11; j = b + 19; k = y + 13; o = e + 20; c = t + 13; f = s + 8. Given that b = 15, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"r": "t + 4", "y": "r + 6", "s": "y + 2", "j": "s + 17", "z": "j + 1", "k": "z + 6", "g": "t + 14", "a": "g + 17", "w": "a + 11", "u": "w + 13", "e": "u + 13", "b": "e + 7", "t": 20}, "premises": {"t": 20}, "target": "k"}, "answer": {"steps": [["z", "j + 1", "j + 7"], ["j", "s + 17", "s + 24"], ["s", "y + 2", "y + 26"], ["y", "r + 6", "r + 32"], ["r", "t + 4", "t + 36"], ["t", 20, "56"]], "target_var_name": "k", "target_value": 56, "value_dict": {"t": 20}, "is_reverse": true}} | 19,299 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = j + 1; b = e + 7; y = r + 6; s = y + 2; k = z + 6; r = t + 4; w = a + 11; t = 20; e = u + 13; g = t + 14; u = w + 13; j = s + 17; a = g + 17. If t = 20, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = j + 1 to k, which gives k = j + 7.\n2. Substitute j = s + 17 to k, which gives k = s + 24.\n3. Substitute s = y + 2 to k, which gives k = y + 26.\n4. Substitute y = r + 6 to k, which gives k = r + 32.\n5. Substitute r = t + 4 to k, which gives k = t + 36.\n6. Substitute t = 20 to k, which gives k = 56.\n\nThus, the final answer is k = \\boxed{56}.",
"index": 19299,
"question": "Consider a system of variables where each variable is defined as follows: z = j + 1; b = e + 7; y = r + 6; s = y + 2; k = z + 6; r = t + 4; w = a + 11; t = 20; e = u + 13; g = t + 14; u = w + 13; j = s + 17; a = g + 17. If t = 20, determine the value of k.",
"split": "train"
} |
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