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": {"e": "o + 19", "i": "e + 2", "u": "i + 16", "w": "u + 9", "j": "w + 1", "r": "j + 13", "t": "o + 6", "m": "t + 3", "p": "m + 7", "b": "p + 5", "g": "b + 14", "v": "g + 9", "o": 17}, "premises": {"o": 17}, "target": "r"}, "answer": {"steps": [["j", "w + 1", "w + 14"], ["w", "u + 9", "u + 23"], ["u", "i + 16", "i + 39"], ["i", "e + 2", "e + 41"], ["e", "o + 19", "o + 60"], ["o", 17, "77"]], "target_var_name": "r", "target_value": 77, "value_dict": {"o": 17}, "is_reverse": true}} | 17,500 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = g + 9; u = i + 16; o = 17; w = u + 9; m = t + 3; j = w + 1; g = b + 14; r = j + 13; e = o + 19; b = p + 5; i = e + 2; p = m + 7; t = o + 6. If o = 17, 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 j = w + 1 to r, which gives r = w + 14.\n2. Substitute w = u + 9 to r, which gives r = u + 23.\n3. Substitute u = i + 16 to r, which gives r = i + 39.\n4. Substitute i = e + 2 to r, which gives r = e + 41.\n5. Substitute e = o + 19 to r, which gives r = o + 60.\n6. Substitute o = 17 to r, which gives r = 77.\n\nThus, the final answer is r = \\boxed{77}.",
"index": 17500,
"question": "Consider a system of variables where each variable is defined as follows: v = g + 9; u = i + 16; o = 17; w = u + 9; m = t + 3; j = w + 1; g = b + 14; r = j + 13; e = o + 19; b = p + 5; i = e + 2; p = m + 7; t = o + 6. If o = 17, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"u": "d + 16", "e": "u + 16", "n": "e + 1", "k": "n + 13", "x": "k + 7", "b": "x + 5", "i": "d + 9", "r": "i + 6", "w": "r + 9", "m": "w + 9", "h": "m + 3", "p": "h + 20", "d": 20}, "premises": {"d": 20}, "target": "b"}, "answer": {"steps": [["x", "k + 7", "k + 12"], ["k", "n + 13", "n + 25"], ["n", "e + 1", "e + 26"], ["e", "u + 16", "u + 42"], ["u", "d + 16", "d + 58"], ["d", 20, "78"]], "target_var_name": "b", "target_value": 78, "value_dict": {"d": 20}, "is_reverse": true}} | 17,501 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = n + 13; u = d + 16; h = m + 3; r = i + 6; n = e + 1; i = d + 9; w = r + 9; m = w + 9; b = x + 5; e = u + 16; d = 20; x = k + 7; p = h + 20. Given that d = 20, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = k + 7 to b, which gives b = k + 12.\n2. Substitute k = n + 13 to b, which gives b = n + 25.\n3. Substitute n = e + 1 to b, which gives b = e + 26.\n4. Substitute e = u + 16 to b, which gives b = u + 42.\n5. Substitute u = d + 16 to b, which gives b = d + 58.\n6. Substitute d = 20 to b, which gives b = 78.\n\nThus, the final answer is b = \\boxed{78}.",
"index": 17501,
"question": "Suppose a collection of variables is related by the following definitions: k = n + 13; u = d + 16; h = m + 3; r = i + 6; n = e + 1; i = d + 9; w = r + 9; m = w + 9; b = x + 5; e = u + 16; d = 20; x = k + 7; p = h + 20. Given that d = 20, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"h": "d + 15", "r": "h + 7", "e": "r + 8", "w": "e + 1", "z": "w + 3", "n": "z + 11", "o": "d + 7", "k": "o + 12", "j": "k + 11", "f": "j + 13", "l": "f + 18", "p": "l + 18", "d": 6}, "premises": {"d": 6}, "target": "n"}, "answer": {"steps": [["z", "w + 3", "w + 14"], ["w", "e + 1", "e + 15"], ["e", "r + 8", "r + 23"], ["r", "h + 7", "h + 30"], ["h", "d + 15", "d + 45"], ["d", 6, "51"]], "target_var_name": "n", "target_value": 51, "value_dict": {"d": 6}, "is_reverse": true}} | 17,502 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = z + 11; h = d + 15; l = f + 18; d = 6; p = l + 18; k = o + 12; r = h + 7; f = j + 13; z = w + 3; w = e + 1; j = k + 11; o = d + 7; e = r + 8. If d = 6, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = w + 3 to n, which gives n = w + 14.\n2. Substitute w = e + 1 to n, which gives n = e + 15.\n3. Substitute e = r + 8 to n, which gives n = r + 23.\n4. Substitute r = h + 7 to n, which gives n = h + 30.\n5. Substitute h = d + 15 to n, which gives n = d + 45.\n6. Substitute d = 6 to n, which gives n = 51.\n\nThus, the final answer is n = \\boxed{51}.",
"index": 17502,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = z + 11; h = d + 15; l = f + 18; d = 6; p = l + 18; k = o + 12; r = h + 7; f = j + 13; z = w + 3; w = e + 1; j = k + 11; o = d + 7; e = r + 8. If d = 6, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"s": "l + 4", "a": "s + 7", "x": "a + 10", "z": "x + 17", "c": "z + 16", "m": "c + 2", "g": "l + 19", "n": "g + 9", "t": "n + 13", "p": "t + 3", "j": "p + 10", "w": "j + 15", "l": 3}, "premises": {"l": 3}, "target": "m"}, "answer": {"steps": [["c", "z + 16", "z + 18"], ["z", "x + 17", "x + 35"], ["x", "a + 10", "a + 45"], ["a", "s + 7", "s + 52"], ["s", "l + 4", "l + 56"], ["l", 3, "59"]], "target_var_name": "m", "target_value": 59, "value_dict": {"l": 3}, "is_reverse": true}} | 17,503 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = z + 16; s = l + 4; m = c + 2; j = p + 10; l = 3; n = g + 9; p = t + 3; w = j + 15; t = n + 13; a = s + 7; z = x + 17; x = a + 10; g = l + 19. If l = 3, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = z + 16 to m, which gives m = z + 18.\n2. Substitute z = x + 17 to m, which gives m = x + 35.\n3. Substitute x = a + 10 to m, which gives m = a + 45.\n4. Substitute a = s + 7 to m, which gives m = s + 52.\n5. Substitute s = l + 4 to m, which gives m = l + 56.\n6. Substitute l = 3 to m, which gives m = 59.\n\nThus, the final answer is m = \\boxed{59}.",
"index": 17503,
"question": "Consider a system of variables where each variable is defined as follows: c = z + 16; s = l + 4; m = c + 2; j = p + 10; l = 3; n = g + 9; p = t + 3; w = j + 15; t = n + 13; a = s + 7; z = x + 17; x = a + 10; g = l + 19. If l = 3, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"s": "e + 15", "l": "s + 16", "k": "l + 15", "i": "k + 18", "d": "i + 18", "g": "d + 8", "j": "e + 5", "b": "j + 5", "o": "b + 6", "x": "o + 2", "y": "x + 9", "h": "y + 10", "e": 11}, "premises": {"e": 11}, "target": "g"}, "answer": {"steps": [["d", "i + 18", "i + 26"], ["i", "k + 18", "k + 44"], ["k", "l + 15", "l + 59"], ["l", "s + 16", "s + 75"], ["s", "e + 15", "e + 90"], ["e", 11, "101"]], "target_var_name": "g", "target_value": 101, "value_dict": {"e": 11}, "is_reverse": true}} | 17,504 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = k + 18; s = e + 15; d = i + 18; o = b + 6; l = s + 16; e = 11; y = x + 9; k = l + 15; g = d + 8; h = y + 10; j = e + 5; x = o + 2; b = j + 5. If e = 11, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = i + 18 to g, which gives g = i + 26.\n2. Substitute i = k + 18 to g, which gives g = k + 44.\n3. Substitute k = l + 15 to g, which gives g = l + 59.\n4. Substitute l = s + 16 to g, which gives g = s + 75.\n5. Substitute s = e + 15 to g, which gives g = e + 90.\n6. Substitute e = 11 to g, which gives g = 101.\n\nThus, the final answer is g = \\boxed{101}.",
"index": 17504,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = k + 18; s = e + 15; d = i + 18; o = b + 6; l = s + 16; e = 11; y = x + 9; k = l + 15; g = d + 8; h = y + 10; j = e + 5; x = o + 2; b = j + 5. If e = 11, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"c": "k + 14", "m": "c + 7", "s": "m + 14", "n": "s + 15", "w": "n + 19", "b": "w + 13", "j": "k + 14", "h": "j + 17", "d": "h + 1", "y": "d + 10", "r": "y + 6", "q": "r + 4", "k": 1}, "premises": {"k": 1}, "target": "b"}, "answer": {"steps": [["w", "n + 19", "n + 32"], ["n", "s + 15", "s + 47"], ["s", "m + 14", "m + 61"], ["m", "c + 7", "c + 68"], ["c", "k + 14", "k + 82"], ["k", 1, "83"]], "target_var_name": "b", "target_value": 83, "value_dict": {"k": 1}, "is_reverse": true}} | 17,505 | 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 = 1; y = d + 10; c = k + 14; q = r + 4; s = m + 14; b = w + 13; r = y + 6; d = h + 1; h = j + 17; w = n + 19; m = c + 7; n = s + 15; j = k + 14. If k = 1, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = n + 19 to b, which gives b = n + 32.\n2. Substitute n = s + 15 to b, which gives b = s + 47.\n3. Substitute s = m + 14 to b, which gives b = m + 61.\n4. Substitute m = c + 7 to b, which gives b = c + 68.\n5. Substitute c = k + 14 to b, which gives b = k + 82.\n6. Substitute k = 1 to b, which gives b = 83.\n\nThus, the final answer is b = \\boxed{83}.",
"index": 17505,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = 1; y = d + 10; c = k + 14; q = r + 4; s = m + 14; b = w + 13; r = y + 6; d = h + 1; h = j + 17; w = n + 19; m = c + 7; n = s + 15; j = k + 14. If k = 1, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"c": "t + 16", "y": "c + 17", "e": "y + 14", "i": "e + 2", "b": "i + 2", "f": "b + 6", "j": "t + 19", "x": "j + 8", "h": "x + 7", "k": "h + 18", "g": "k + 9", "n": "g + 4", "t": 8}, "premises": {"t": 8}, "target": "f"}, "answer": {"steps": [["b", "i + 2", "i + 8"], ["i", "e + 2", "e + 10"], ["e", "y + 14", "y + 24"], ["y", "c + 17", "c + 41"], ["c", "t + 16", "t + 57"], ["t", 8, "65"]], "target_var_name": "f", "target_value": 65, "value_dict": {"t": 8}, "is_reverse": true}} | 17,506 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = t + 19; k = h + 18; t = 8; b = i + 2; n = g + 4; y = c + 17; f = b + 6; g = k + 9; i = e + 2; x = j + 8; c = t + 16; h = x + 7; e = y + 14. If t = 8, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = i + 2 to f, which gives f = i + 8.\n2. Substitute i = e + 2 to f, which gives f = e + 10.\n3. Substitute e = y + 14 to f, which gives f = y + 24.\n4. Substitute y = c + 17 to f, which gives f = c + 41.\n5. Substitute c = t + 16 to f, which gives f = t + 57.\n6. Substitute t = 8 to f, which gives f = 65.\n\nThus, the final answer is f = \\boxed{65}.",
"index": 17506,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = t + 19; k = h + 18; t = 8; b = i + 2; n = g + 4; y = c + 17; f = b + 6; g = k + 9; i = e + 2; x = j + 8; c = t + 16; h = x + 7; e = y + 14. If t = 8, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"l": "n + 14", "p": "l + 2", "f": "p + 8", "c": "f + 2", "r": "c + 5", "q": "r + 14", "j": "n + 17", "w": "j + 10", "k": "w + 8", "y": "k + 13", "z": "y + 1", "e": "z + 8", "n": 20}, "premises": {"n": 20}, "target": "q"}, "answer": {"steps": [["r", "c + 5", "c + 19"], ["c", "f + 2", "f + 21"], ["f", "p + 8", "p + 29"], ["p", "l + 2", "l + 31"], ["l", "n + 14", "n + 45"], ["n", 20, "65"]], "target_var_name": "q", "target_value": 65, "value_dict": {"n": 20}, "is_reverse": true}} | 17,507 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = j + 10; n = 20; l = n + 14; j = n + 17; p = l + 2; c = f + 2; r = c + 5; q = r + 14; e = z + 8; y = k + 13; f = p + 8; z = y + 1; k = w + 8. If n = 20, 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 r = c + 5 to q, which gives q = c + 19.\n2. Substitute c = f + 2 to q, which gives q = f + 21.\n3. Substitute f = p + 8 to q, which gives q = p + 29.\n4. Substitute p = l + 2 to q, which gives q = l + 31.\n5. Substitute l = n + 14 to q, which gives q = n + 45.\n6. Substitute n = 20 to q, which gives q = 65.\n\nThus, the final answer is q = \\boxed{65}.",
"index": 17507,
"question": "Consider a system of variables where each variable is defined as follows: w = j + 10; n = 20; l = n + 14; j = n + 17; p = l + 2; c = f + 2; r = c + 5; q = r + 14; e = z + 8; y = k + 13; f = p + 8; z = y + 1; k = w + 8. If n = 20, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"h": "a + 12", "t": "h + 1", "u": "t + 15", "q": "u + 9", "g": "q + 6", "f": "g + 5", "y": "a + 15", "e": "y + 18", "j": "e + 7", "i": "j + 13", "b": "i + 20", "v": "b + 20", "a": 8}, "premises": {"a": 8}, "target": "f"}, "answer": {"steps": [["g", "q + 6", "q + 11"], ["q", "u + 9", "u + 20"], ["u", "t + 15", "t + 35"], ["t", "h + 1", "h + 36"], ["h", "a + 12", "a + 48"], ["a", 8, "56"]], "target_var_name": "f", "target_value": 56, "value_dict": {"a": 8}, "is_reverse": true}} | 17,508 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = e + 7; v = b + 20; f = g + 5; b = i + 20; i = j + 13; h = a + 12; e = y + 18; g = q + 6; u = t + 15; y = a + 15; t = h + 1; a = 8; q = u + 9. If a = 8, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = q + 6 to f, which gives f = q + 11.\n2. Substitute q = u + 9 to f, which gives f = u + 20.\n3. Substitute u = t + 15 to f, which gives f = t + 35.\n4. Substitute t = h + 1 to f, which gives f = h + 36.\n5. Substitute h = a + 12 to f, which gives f = a + 48.\n6. Substitute a = 8 to f, which gives f = 56.\n\nThus, the final answer is f = \\boxed{56}.",
"index": 17508,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = e + 7; v = b + 20; f = g + 5; b = i + 20; i = j + 13; h = a + 12; e = y + 18; g = q + 6; u = t + 15; y = a + 15; t = h + 1; a = 8; q = u + 9. If a = 8, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"z": "b + 18", "v": "z + 9", "i": "v + 8", "d": "i + 17", "h": "d + 16", "k": "h + 15", "w": "b + 14", "g": "w + 19", "u": "g + 3", "q": "u + 7", "n": "q + 10", "x": "n + 16", "b": 7}, "premises": {"b": 7}, "target": "k"}, "answer": {"steps": [["h", "d + 16", "d + 31"], ["d", "i + 17", "i + 48"], ["i", "v + 8", "v + 56"], ["v", "z + 9", "z + 65"], ["z", "b + 18", "b + 83"], ["b", 7, "90"]], "target_var_name": "k", "target_value": 90, "value_dict": {"b": 7}, "is_reverse": true}} | 17,509 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = q + 10; x = n + 16; q = u + 7; w = b + 14; g = w + 19; b = 7; h = d + 16; d = i + 17; z = b + 18; u = g + 3; v = z + 9; k = h + 15; i = v + 8. Given that b = 7, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = d + 16 to k, which gives k = d + 31.\n2. Substitute d = i + 17 to k, which gives k = i + 48.\n3. Substitute i = v + 8 to k, which gives k = v + 56.\n4. Substitute v = z + 9 to k, which gives k = z + 65.\n5. Substitute z = b + 18 to k, which gives k = b + 83.\n6. Substitute b = 7 to k, which gives k = 90.\n\nThus, the final answer is k = \\boxed{90}.",
"index": 17509,
"question": "Suppose a collection of variables is related by the following definitions: n = q + 10; x = n + 16; q = u + 7; w = b + 14; g = w + 19; b = 7; h = d + 16; d = i + 17; z = b + 18; u = g + 3; v = z + 9; k = h + 15; i = v + 8. Given that b = 7, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"u": "t + 13", "g": "u + 11", "v": "g + 15", "f": "v + 12", "i": "f + 11", "o": "i + 14", "a": "t + 17", "q": "a + 12", "x": "q + 18", "l": "x + 18", "m": "l + 5", "n": "m + 13", "t": 18}, "premises": {"t": 18}, "target": "o"}, "answer": {"steps": [["i", "f + 11", "f + 25"], ["f", "v + 12", "v + 37"], ["v", "g + 15", "g + 52"], ["g", "u + 11", "u + 63"], ["u", "t + 13", "t + 76"], ["t", 18, "94"]], "target_var_name": "o", "target_value": 94, "value_dict": {"t": 18}, "is_reverse": true}} | 17,510 | 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 = 18; n = m + 13; i = f + 11; a = t + 17; v = g + 15; o = i + 14; g = u + 11; f = v + 12; q = a + 12; m = l + 5; x = q + 18; u = t + 13; l = x + 18. If t = 18, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = f + 11 to o, which gives o = f + 25.\n2. Substitute f = v + 12 to o, which gives o = v + 37.\n3. Substitute v = g + 15 to o, which gives o = g + 52.\n4. Substitute g = u + 11 to o, which gives o = u + 63.\n5. Substitute u = t + 13 to o, which gives o = t + 76.\n6. Substitute t = 18 to o, which gives o = 94.\n\nThus, the final answer is o = \\boxed{94}.",
"index": 17510,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = 18; n = m + 13; i = f + 11; a = t + 17; v = g + 15; o = i + 14; g = u + 11; f = v + 12; q = a + 12; m = l + 5; x = q + 18; u = t + 13; l = x + 18. If t = 18, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"y": "r + 19", "s": "y + 17", "c": "s + 8", "h": "c + 6", "f": "h + 18", "m": "f + 9", "g": "r + 20", "a": "g + 10", "z": "a + 11", "n": "z + 7", "k": "n + 3", "b": "k + 9", "r": 3}, "premises": {"r": 3}, "target": "m"}, "answer": {"steps": [["f", "h + 18", "h + 27"], ["h", "c + 6", "c + 33"], ["c", "s + 8", "s + 41"], ["s", "y + 17", "y + 58"], ["y", "r + 19", "r + 77"], ["r", 3, "80"]], "target_var_name": "m", "target_value": 80, "value_dict": {"r": 3}, "is_reverse": true}} | 17,511 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = h + 18; k = n + 3; m = f + 9; c = s + 8; r = 3; n = z + 7; y = r + 19; z = a + 11; a = g + 10; g = r + 20; b = k + 9; h = c + 6; s = y + 17. Given that r = 3, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = h + 18 to m, which gives m = h + 27.\n2. Substitute h = c + 6 to m, which gives m = c + 33.\n3. Substitute c = s + 8 to m, which gives m = s + 41.\n4. Substitute s = y + 17 to m, which gives m = y + 58.\n5. Substitute y = r + 19 to m, which gives m = r + 77.\n6. Substitute r = 3 to m, which gives m = 80.\n\nThus, the final answer is m = \\boxed{80}.",
"index": 17511,
"question": "Suppose a collection of variables is related by the following definitions: f = h + 18; k = n + 3; m = f + 9; c = s + 8; r = 3; n = z + 7; y = r + 19; z = a + 11; a = g + 10; g = r + 20; b = k + 9; h = c + 6; s = y + 17. Given that r = 3, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"p": "u + 6", "w": "p + 7", "h": "w + 12", "j": "h + 6", "f": "j + 10", "k": "f + 15", "b": "u + 12", "g": "b + 20", "s": "g + 8", "i": "s + 13", "d": "i + 13", "v": "d + 10", "u": 20}, "premises": {"u": 20}, "target": "k"}, "answer": {"steps": [["f", "j + 10", "j + 25"], ["j", "h + 6", "h + 31"], ["h", "w + 12", "w + 43"], ["w", "p + 7", "p + 50"], ["p", "u + 6", "u + 56"], ["u", 20, "76"]], "target_var_name": "k", "target_value": 76, "value_dict": {"u": 20}, "is_reverse": true}} | 17,512 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = i + 13; u = 20; i = s + 13; v = d + 10; j = h + 6; w = p + 7; g = b + 20; p = u + 6; b = u + 12; f = j + 10; h = w + 12; k = f + 15; s = g + 8. If u = 20, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = j + 10 to k, which gives k = j + 25.\n2. Substitute j = h + 6 to k, which gives k = h + 31.\n3. Substitute h = w + 12 to k, which gives k = w + 43.\n4. Substitute w = p + 7 to k, which gives k = p + 50.\n5. Substitute p = u + 6 to k, which gives k = u + 56.\n6. Substitute u = 20 to k, which gives k = 76.\n\nThus, the final answer is k = \\boxed{76}.",
"index": 17512,
"question": "Consider a system of variables where each variable is defined as follows: d = i + 13; u = 20; i = s + 13; v = d + 10; j = h + 6; w = p + 7; g = b + 20; p = u + 6; b = u + 12; f = j + 10; h = w + 12; k = f + 15; s = g + 8. If u = 20, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"f": "h + 18", "z": "f + 6", "x": "z + 3", "o": "x + 14", "l": "o + 17", "p": "l + 4", "g": "h + 16", "w": "g + 14", "a": "w + 10", "e": "a + 12", "m": "e + 3", "v": "m + 1", "h": 13}, "premises": {"h": 13}, "target": "p"}, "answer": {"steps": [["l", "o + 17", "o + 21"], ["o", "x + 14", "x + 35"], ["x", "z + 3", "z + 38"], ["z", "f + 6", "f + 44"], ["f", "h + 18", "h + 62"], ["h", 13, "75"]], "target_var_name": "p", "target_value": 75, "value_dict": {"h": 13}, "is_reverse": true}} | 17,513 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = w + 10; h = 13; m = e + 3; f = h + 18; l = o + 17; p = l + 4; w = g + 14; e = a + 12; x = z + 3; v = m + 1; g = h + 16; z = f + 6; o = x + 14. If h = 13, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = o + 17 to p, which gives p = o + 21.\n2. Substitute o = x + 14 to p, which gives p = x + 35.\n3. Substitute x = z + 3 to p, which gives p = z + 38.\n4. Substitute z = f + 6 to p, which gives p = f + 44.\n5. Substitute f = h + 18 to p, which gives p = h + 62.\n6. Substitute h = 13 to p, which gives p = 75.\n\nThus, the final answer is p = \\boxed{75}.",
"index": 17513,
"question": "Consider a system of variables where each variable is defined as follows: a = w + 10; h = 13; m = e + 3; f = h + 18; l = o + 17; p = l + 4; w = g + 14; e = a + 12; x = z + 3; v = m + 1; g = h + 16; z = f + 6; o = x + 14. If h = 13, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"k": "z + 8", "a": "k + 16", "x": "a + 20", "v": "x + 20", "m": "v + 5", "h": "m + 17", "j": "z + 6", "f": "j + 7", "u": "f + 18", "c": "u + 6", "p": "c + 11", "e": "p + 19", "z": 20}, "premises": {"z": 20}, "target": "h"}, "answer": {"steps": [["m", "v + 5", "v + 22"], ["v", "x + 20", "x + 42"], ["x", "a + 20", "a + 62"], ["a", "k + 16", "k + 78"], ["k", "z + 8", "z + 86"], ["z", 20, "106"]], "target_var_name": "h", "target_value": 106, "value_dict": {"z": 20}, "is_reverse": true}} | 17,514 | 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 = v + 5; u = f + 18; p = c + 11; x = a + 20; f = j + 7; v = x + 20; z = 20; c = u + 6; h = m + 17; e = p + 19; k = z + 8; a = k + 16; j = z + 6. If z = 20, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 106,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = v + 5 to h, which gives h = v + 22.\n2. Substitute v = x + 20 to h, which gives h = x + 42.\n3. Substitute x = a + 20 to h, which gives h = a + 62.\n4. Substitute a = k + 16 to h, which gives h = k + 78.\n5. Substitute k = z + 8 to h, which gives h = z + 86.\n6. Substitute z = 20 to h, which gives h = 106.\n\nThus, the final answer is h = \\boxed{106}.",
"index": 17514,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = v + 5; u = f + 18; p = c + 11; x = a + 20; f = j + 7; v = x + 20; z = 20; c = u + 6; h = m + 17; e = p + 19; k = z + 8; a = k + 16; j = z + 6. If z = 20, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"h": "t + 12", "x": "h + 13", "e": "x + 6", "u": "e + 8", "l": "u + 11", "w": "l + 20", "b": "t + 18", "c": "b + 5", "i": "c + 4", "o": "i + 13", "z": "o + 11", "n": "z + 4", "t": 7}, "premises": {"t": 7}, "target": "w"}, "answer": {"steps": [["l", "u + 11", "u + 31"], ["u", "e + 8", "e + 39"], ["e", "x + 6", "x + 45"], ["x", "h + 13", "h + 58"], ["h", "t + 12", "t + 70"], ["t", 7, "77"]], "target_var_name": "w", "target_value": 77, "value_dict": {"t": 7}, "is_reverse": true}} | 17,515 | 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 = x + 6; l = u + 11; i = c + 4; o = i + 13; x = h + 13; h = t + 12; c = b + 5; n = z + 4; u = e + 8; z = o + 11; w = l + 20; b = t + 18; t = 7. If t = 7, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = u + 11 to w, which gives w = u + 31.\n2. Substitute u = e + 8 to w, which gives w = e + 39.\n3. Substitute e = x + 6 to w, which gives w = x + 45.\n4. Substitute x = h + 13 to w, which gives w = h + 58.\n5. Substitute h = t + 12 to w, which gives w = t + 70.\n6. Substitute t = 7 to w, which gives w = 77.\n\nThus, the final answer is w = \\boxed{77}.",
"index": 17515,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = x + 6; l = u + 11; i = c + 4; o = i + 13; x = h + 13; h = t + 12; c = b + 5; n = z + 4; u = e + 8; z = o + 11; w = l + 20; b = t + 18; t = 7. If t = 7, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"x": "k + 19", "u": "x + 16", "d": "u + 16", "q": "d + 8", "m": "q + 15", "v": "m + 14", "e": "k + 9", "l": "e + 16", "h": "l + 18", "w": "h + 2", "b": "w + 1", "p": "b + 8", "k": 14}, "premises": {"k": 14}, "target": "v"}, "answer": {"steps": [["m", "q + 15", "q + 29"], ["q", "d + 8", "d + 37"], ["d", "u + 16", "u + 53"], ["u", "x + 16", "x + 69"], ["x", "k + 19", "k + 88"], ["k", 14, "102"]], "target_var_name": "v", "target_value": 102, "value_dict": {"k": 14}, "is_reverse": true}} | 17,516 | 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 = q + 15; v = m + 14; u = x + 16; l = e + 16; x = k + 19; p = b + 8; q = d + 8; k = 14; d = u + 16; b = w + 1; e = k + 9; w = h + 2; h = l + 18. If k = 14, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 102,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = q + 15 to v, which gives v = q + 29.\n2. Substitute q = d + 8 to v, which gives v = d + 37.\n3. Substitute d = u + 16 to v, which gives v = u + 53.\n4. Substitute u = x + 16 to v, which gives v = x + 69.\n5. Substitute x = k + 19 to v, which gives v = k + 88.\n6. Substitute k = 14 to v, which gives v = 102.\n\nThus, the final answer is v = \\boxed{102}.",
"index": 17516,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = q + 15; v = m + 14; u = x + 16; l = e + 16; x = k + 19; p = b + 8; q = d + 8; k = 14; d = u + 16; b = w + 1; e = k + 9; w = h + 2; h = l + 18. If k = 14, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"a": "d + 5", "u": "a + 19", "o": "u + 15", "j": "o + 20", "g": "j + 20", "c": "g + 18", "b": "d + 20", "s": "b + 10", "h": "s + 1", "l": "h + 18", "r": "l + 18", "y": "r + 3", "d": 18}, "premises": {"d": 18}, "target": "c"}, "answer": {"steps": [["g", "j + 20", "j + 38"], ["j", "o + 20", "o + 58"], ["o", "u + 15", "u + 73"], ["u", "a + 19", "a + 92"], ["a", "d + 5", "d + 97"], ["d", 18, "115"]], "target_var_name": "c", "target_value": 115, "value_dict": {"d": 18}, "is_reverse": true}} | 17,517 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = s + 1; d = 18; b = d + 20; u = a + 19; o = u + 15; s = b + 10; l = h + 18; r = l + 18; j = o + 20; g = j + 20; a = d + 5; c = g + 18; y = r + 3. If d = 18, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 115,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = j + 20 to c, which gives c = j + 38.\n2. Substitute j = o + 20 to c, which gives c = o + 58.\n3. Substitute o = u + 15 to c, which gives c = u + 73.\n4. Substitute u = a + 19 to c, which gives c = a + 92.\n5. Substitute a = d + 5 to c, which gives c = d + 97.\n6. Substitute d = 18 to c, which gives c = 115.\n\nThus, the final answer is c = \\boxed{115}.",
"index": 17517,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = s + 1; d = 18; b = d + 20; u = a + 19; o = u + 15; s = b + 10; l = h + 18; r = l + 18; j = o + 20; g = j + 20; a = d + 5; c = g + 18; y = r + 3. If d = 18, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"u": "s + 5", "p": "u + 8", "l": "p + 14", "x": "l + 14", "m": "x + 12", "q": "m + 14", "b": "s + 2", "d": "b + 16", "o": "d + 1", "f": "o + 9", "w": "f + 12", "v": "w + 6", "s": 9}, "premises": {"s": 9}, "target": "q"}, "answer": {"steps": [["m", "x + 12", "x + 26"], ["x", "l + 14", "l + 40"], ["l", "p + 14", "p + 54"], ["p", "u + 8", "u + 62"], ["u", "s + 5", "s + 67"], ["s", 9, "76"]], "target_var_name": "q", "target_value": 76, "value_dict": {"s": 9}, "is_reverse": true}} | 17,518 | 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 = l + 14; l = p + 14; f = o + 9; m = x + 12; q = m + 14; u = s + 5; v = w + 6; p = u + 8; b = s + 2; o = d + 1; w = f + 12; s = 9; d = b + 16. If s = 9, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = x + 12 to q, which gives q = x + 26.\n2. Substitute x = l + 14 to q, which gives q = l + 40.\n3. Substitute l = p + 14 to q, which gives q = p + 54.\n4. Substitute p = u + 8 to q, which gives q = u + 62.\n5. Substitute u = s + 5 to q, which gives q = s + 67.\n6. Substitute s = 9 to q, which gives q = 76.\n\nThus, the final answer is q = \\boxed{76}.",
"index": 17518,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = l + 14; l = p + 14; f = o + 9; m = x + 12; q = m + 14; u = s + 5; v = w + 6; p = u + 8; b = s + 2; o = d + 1; w = f + 12; s = 9; d = b + 16. If s = 9, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"b": "d + 18", "s": "b + 10", "r": "s + 7", "w": "r + 18", "a": "w + 4", "c": "a + 16", "i": "d + 17", "k": "i + 19", "q": "k + 7", "v": "q + 11", "j": "v + 10", "x": "j + 10", "d": 16}, "premises": {"d": 16}, "target": "c"}, "answer": {"steps": [["a", "w + 4", "w + 20"], ["w", "r + 18", "r + 38"], ["r", "s + 7", "s + 45"], ["s", "b + 10", "b + 55"], ["b", "d + 18", "d + 73"], ["d", 16, "89"]], "target_var_name": "c", "target_value": 89, "value_dict": {"d": 16}, "is_reverse": true}} | 17,519 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = w + 4; b = d + 18; w = r + 18; c = a + 16; i = d + 17; d = 16; r = s + 7; j = v + 10; q = k + 7; k = i + 19; x = j + 10; s = b + 10; v = q + 11. If d = 16, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = w + 4 to c, which gives c = w + 20.\n2. Substitute w = r + 18 to c, which gives c = r + 38.\n3. Substitute r = s + 7 to c, which gives c = s + 45.\n4. Substitute s = b + 10 to c, which gives c = b + 55.\n5. Substitute b = d + 18 to c, which gives c = d + 73.\n6. Substitute d = 16 to c, which gives c = 89.\n\nThus, the final answer is c = \\boxed{89}.",
"index": 17519,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = w + 4; b = d + 18; w = r + 18; c = a + 16; i = d + 17; d = 16; r = s + 7; j = v + 10; q = k + 7; k = i + 19; x = j + 10; s = b + 10; v = q + 11. If d = 16, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"k": "s + 16", "r": "k + 2", "h": "r + 13", "j": "h + 13", "b": "j + 7", "p": "b + 18", "z": "s + 9", "x": "z + 8", "u": "x + 14", "n": "u + 7", "i": "n + 2", "c": "i + 20", "s": 19}, "premises": {"s": 19}, "target": "p"}, "answer": {"steps": [["b", "j + 7", "j + 25"], ["j", "h + 13", "h + 38"], ["h", "r + 13", "r + 51"], ["r", "k + 2", "k + 53"], ["k", "s + 16", "s + 69"], ["s", 19, "88"]], "target_var_name": "p", "target_value": 88, "value_dict": {"s": 19}, "is_reverse": true}} | 17,520 | 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 = 19; p = b + 18; x = z + 8; j = h + 13; r = k + 2; n = u + 7; z = s + 9; b = j + 7; k = s + 16; h = r + 13; i = n + 2; u = x + 14; c = i + 20. If s = 19, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = j + 7 to p, which gives p = j + 25.\n2. Substitute j = h + 13 to p, which gives p = h + 38.\n3. Substitute h = r + 13 to p, which gives p = r + 51.\n4. Substitute r = k + 2 to p, which gives p = k + 53.\n5. Substitute k = s + 16 to p, which gives p = s + 69.\n6. Substitute s = 19 to p, which gives p = 88.\n\nThus, the final answer is p = \\boxed{88}.",
"index": 17520,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = 19; p = b + 18; x = z + 8; j = h + 13; r = k + 2; n = u + 7; z = s + 9; b = j + 7; k = s + 16; h = r + 13; i = n + 2; u = x + 14; c = i + 20. If s = 19, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"p": "d + 18", "e": "p + 10", "z": "e + 15", "y": "z + 11", "f": "y + 12", "a": "f + 15", "h": "d + 14", "t": "h + 16", "m": "t + 5", "x": "m + 14", "w": "x + 15", "q": "w + 5", "d": 14}, "premises": {"d": 14}, "target": "a"}, "answer": {"steps": [["f", "y + 12", "y + 27"], ["y", "z + 11", "z + 38"], ["z", "e + 15", "e + 53"], ["e", "p + 10", "p + 63"], ["p", "d + 18", "d + 81"], ["d", 14, "95"]], "target_var_name": "a", "target_value": 95, "value_dict": {"d": 14}, "is_reverse": true}} | 17,521 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = f + 15; e = p + 10; m = t + 5; h = d + 14; w = x + 15; t = h + 16; q = w + 5; d = 14; y = z + 11; z = e + 15; p = d + 18; f = y + 12; x = m + 14. If d = 14, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = y + 12 to a, which gives a = y + 27.\n2. Substitute y = z + 11 to a, which gives a = z + 38.\n3. Substitute z = e + 15 to a, which gives a = e + 53.\n4. Substitute e = p + 10 to a, which gives a = p + 63.\n5. Substitute p = d + 18 to a, which gives a = d + 81.\n6. Substitute d = 14 to a, which gives a = 95.\n\nThus, the final answer is a = \\boxed{95}.",
"index": 17521,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = f + 15; e = p + 10; m = t + 5; h = d + 14; w = x + 15; t = h + 16; q = w + 5; d = 14; y = z + 11; z = e + 15; p = d + 18; f = y + 12; x = m + 14. If d = 14, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"t": "d + 18", "c": "t + 16", "i": "c + 10", "g": "i + 13", "x": "g + 20", "n": "x + 11", "f": "d + 4", "o": "f + 1", "y": "o + 2", "m": "y + 17", "q": "m + 14", "b": "q + 15", "d": 6}, "premises": {"d": 6}, "target": "n"}, "answer": {"steps": [["x", "g + 20", "g + 31"], ["g", "i + 13", "i + 44"], ["i", "c + 10", "c + 54"], ["c", "t + 16", "t + 70"], ["t", "d + 18", "d + 88"], ["d", 6, "94"]], "target_var_name": "n", "target_value": 94, "value_dict": {"d": 6}, "is_reverse": true}} | 17,522 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = d + 18; x = g + 20; d = 6; g = i + 13; n = x + 11; o = f + 1; m = y + 17; b = q + 15; f = d + 4; i = c + 10; y = o + 2; q = m + 14; c = t + 16. Given that d = 6, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = g + 20 to n, which gives n = g + 31.\n2. Substitute g = i + 13 to n, which gives n = i + 44.\n3. Substitute i = c + 10 to n, which gives n = c + 54.\n4. Substitute c = t + 16 to n, which gives n = t + 70.\n5. Substitute t = d + 18 to n, which gives n = d + 88.\n6. Substitute d = 6 to n, which gives n = 94.\n\nThus, the final answer is n = \\boxed{94}.",
"index": 17522,
"question": "Suppose a collection of variables is related by the following definitions: t = d + 18; x = g + 20; d = 6; g = i + 13; n = x + 11; o = f + 1; m = y + 17; b = q + 15; f = d + 4; i = c + 10; y = o + 2; q = m + 14; c = t + 16. Given that d = 6, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"d": "n + 17", "l": "d + 9", "y": "l + 18", "a": "y + 8", "q": "a + 11", "z": "q + 17", "f": "n + 7", "j": "f + 19", "t": "j + 15", "h": "t + 14", "c": "h + 13", "v": "c + 3", "n": 13}, "premises": {"n": 13}, "target": "z"}, "answer": {"steps": [["q", "a + 11", "a + 28"], ["a", "y + 8", "y + 36"], ["y", "l + 18", "l + 54"], ["l", "d + 9", "d + 63"], ["d", "n + 17", "n + 80"], ["n", 13, "93"]], "target_var_name": "z", "target_value": 93, "value_dict": {"n": 13}, "is_reverse": true}} | 17,523 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = c + 3; a = y + 8; c = h + 13; z = q + 17; q = a + 11; t = j + 15; f = n + 7; l = d + 9; y = l + 18; h = t + 14; n = 13; d = n + 17; j = f + 19. Given that n = 13, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = a + 11 to z, which gives z = a + 28.\n2. Substitute a = y + 8 to z, which gives z = y + 36.\n3. Substitute y = l + 18 to z, which gives z = l + 54.\n4. Substitute l = d + 9 to z, which gives z = d + 63.\n5. Substitute d = n + 17 to z, which gives z = n + 80.\n6. Substitute n = 13 to z, which gives z = 93.\n\nThus, the final answer is z = \\boxed{93}.",
"index": 17523,
"question": "Suppose a collection of variables is related by the following definitions: v = c + 3; a = y + 8; c = h + 13; z = q + 17; q = a + 11; t = j + 15; f = n + 7; l = d + 9; y = l + 18; h = t + 14; n = 13; d = n + 17; j = f + 19. Given that n = 13, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"i": "x + 1", "h": "i + 6", "e": "h + 17", "m": "e + 2", "z": "m + 5", "v": "z + 12", "s": "x + 10", "l": "s + 4", "a": "l + 20", "n": "a + 15", "j": "n + 1", "t": "j + 15", "x": 5}, "premises": {"x": 5}, "target": "v"}, "answer": {"steps": [["z", "m + 5", "m + 17"], ["m", "e + 2", "e + 19"], ["e", "h + 17", "h + 36"], ["h", "i + 6", "i + 42"], ["i", "x + 1", "x + 43"], ["x", 5, "48"]], "target_var_name": "v", "target_value": 48, "value_dict": {"x": 5}, "is_reverse": true}} | 17,524 | 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 = z + 12; j = n + 1; z = m + 5; l = s + 4; h = i + 6; t = j + 15; x = 5; i = x + 1; e = h + 17; s = x + 10; n = a + 15; a = l + 20; m = e + 2. If x = 5, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = m + 5 to v, which gives v = m + 17.\n2. Substitute m = e + 2 to v, which gives v = e + 19.\n3. Substitute e = h + 17 to v, which gives v = h + 36.\n4. Substitute h = i + 6 to v, which gives v = i + 42.\n5. Substitute i = x + 1 to v, which gives v = x + 43.\n6. Substitute x = 5 to v, which gives v = 48.\n\nThus, the final answer is v = \\boxed{48}.",
"index": 17524,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = z + 12; j = n + 1; z = m + 5; l = s + 4; h = i + 6; t = j + 15; x = 5; i = x + 1; e = h + 17; s = x + 10; n = a + 15; a = l + 20; m = e + 2. If x = 5, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"e": "l + 13", "q": "e + 4", "c": "q + 6", "g": "c + 16", "b": "g + 9", "i": "b + 12", "y": "l + 12", "m": "y + 8", "o": "m + 10", "z": "o + 16", "n": "z + 1", "h": "n + 14", "l": 3}, "premises": {"l": 3}, "target": "i"}, "answer": {"steps": [["b", "g + 9", "g + 21"], ["g", "c + 16", "c + 37"], ["c", "q + 6", "q + 43"], ["q", "e + 4", "e + 47"], ["e", "l + 13", "l + 60"], ["l", 3, "63"]], "target_var_name": "i", "target_value": 63, "value_dict": {"l": 3}, "is_reverse": true}} | 17,525 | 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 + 14; m = y + 8; l = 3; q = e + 4; g = c + 16; i = b + 12; e = l + 13; z = o + 16; b = g + 9; n = z + 1; y = l + 12; o = m + 10; c = q + 6. If l = 3, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = g + 9 to i, which gives i = g + 21.\n2. Substitute g = c + 16 to i, which gives i = c + 37.\n3. Substitute c = q + 6 to i, which gives i = q + 43.\n4. Substitute q = e + 4 to i, which gives i = e + 47.\n5. Substitute e = l + 13 to i, which gives i = l + 60.\n6. Substitute l = 3 to i, which gives i = 63.\n\nThus, the final answer is i = \\boxed{63}.",
"index": 17525,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = n + 14; m = y + 8; l = 3; q = e + 4; g = c + 16; i = b + 12; e = l + 13; z = o + 16; b = g + 9; n = z + 1; y = l + 12; o = m + 10; c = q + 6. If l = 3, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"y": "m + 14", "l": "y + 4", "t": "l + 1", "d": "t + 7", "f": "d + 5", "x": "f + 17", "h": "m + 9", "e": "h + 9", "k": "e + 13", "z": "k + 7", "b": "z + 19", "o": "b + 5", "m": 3}, "premises": {"m": 3}, "target": "x"}, "answer": {"steps": [["f", "d + 5", "d + 22"], ["d", "t + 7", "t + 29"], ["t", "l + 1", "l + 30"], ["l", "y + 4", "y + 34"], ["y", "m + 14", "m + 48"], ["m", 3, "51"]], "target_var_name": "x", "target_value": 51, "value_dict": {"m": 3}, "is_reverse": true}} | 17,526 | 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 = l + 1; l = y + 4; z = k + 7; x = f + 17; o = b + 5; m = 3; b = z + 19; e = h + 9; k = e + 13; d = t + 7; h = m + 9; f = d + 5; y = m + 14. If m = 3, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = d + 5 to x, which gives x = d + 22.\n2. Substitute d = t + 7 to x, which gives x = t + 29.\n3. Substitute t = l + 1 to x, which gives x = l + 30.\n4. Substitute l = y + 4 to x, which gives x = y + 34.\n5. Substitute y = m + 14 to x, which gives x = m + 48.\n6. Substitute m = 3 to x, which gives x = 51.\n\nThus, the final answer is x = \\boxed{51}.",
"index": 17526,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = l + 1; l = y + 4; z = k + 7; x = f + 17; o = b + 5; m = 3; b = z + 19; e = h + 9; k = e + 13; d = t + 7; h = m + 9; f = d + 5; y = m + 14. If m = 3, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"y": "b + 15", "n": "y + 7", "p": "n + 20", "u": "p + 20", "g": "u + 15", "z": "g + 13", "c": "b + 20", "d": "c + 12", "l": "d + 18", "j": "l + 2", "k": "j + 16", "f": "k + 3", "b": 18}, "premises": {"b": 18}, "target": "z"}, "answer": {"steps": [["g", "u + 15", "u + 28"], ["u", "p + 20", "p + 48"], ["p", "n + 20", "n + 68"], ["n", "y + 7", "y + 75"], ["y", "b + 15", "b + 90"], ["b", 18, "108"]], "target_var_name": "z", "target_value": 108, "value_dict": {"b": 18}, "is_reverse": true}} | 17,527 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = j + 16; u = p + 20; y = b + 15; d = c + 12; z = g + 13; b = 18; g = u + 15; n = y + 7; f = k + 3; l = d + 18; p = n + 20; c = b + 20; j = l + 2. Given that b = 18, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 108,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = u + 15 to z, which gives z = u + 28.\n2. Substitute u = p + 20 to z, which gives z = p + 48.\n3. Substitute p = n + 20 to z, which gives z = n + 68.\n4. Substitute n = y + 7 to z, which gives z = y + 75.\n5. Substitute y = b + 15 to z, which gives z = b + 90.\n6. Substitute b = 18 to z, which gives z = 108.\n\nThus, the final answer is z = \\boxed{108}.",
"index": 17527,
"question": "Suppose a collection of variables is related by the following definitions: k = j + 16; u = p + 20; y = b + 15; d = c + 12; z = g + 13; b = 18; g = u + 15; n = y + 7; f = k + 3; l = d + 18; p = n + 20; c = b + 20; j = l + 2. Given that b = 18, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"u": "t + 10", "x": "u + 3", "o": "x + 9", "f": "o + 1", "l": "f + 16", "z": "l + 8", "y": "t + 6", "s": "y + 14", "q": "s + 18", "r": "q + 5", "g": "r + 9", "i": "g + 19", "t": 14}, "premises": {"t": 14}, "target": "z"}, "answer": {"steps": [["l", "f + 16", "f + 24"], ["f", "o + 1", "o + 25"], ["o", "x + 9", "x + 34"], ["x", "u + 3", "u + 37"], ["u", "t + 10", "t + 47"], ["t", 14, "61"]], "target_var_name": "z", "target_value": 61, "value_dict": {"t": 14}, "is_reverse": true}} | 17,528 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = l + 8; f = o + 1; i = g + 19; x = u + 3; q = s + 18; o = x + 9; t = 14; l = f + 16; s = y + 14; y = t + 6; u = t + 10; g = r + 9; r = q + 5. If t = 14, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = f + 16 to z, which gives z = f + 24.\n2. Substitute f = o + 1 to z, which gives z = o + 25.\n3. Substitute o = x + 9 to z, which gives z = x + 34.\n4. Substitute x = u + 3 to z, which gives z = u + 37.\n5. Substitute u = t + 10 to z, which gives z = t + 47.\n6. Substitute t = 14 to z, which gives z = 61.\n\nThus, the final answer is z = \\boxed{61}.",
"index": 17528,
"question": "Consider a system of variables where each variable is defined as follows: z = l + 8; f = o + 1; i = g + 19; x = u + 3; q = s + 18; o = x + 9; t = 14; l = f + 16; s = y + 14; y = t + 6; u = t + 10; g = r + 9; r = q + 5. If t = 14, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"p": "a + 11", "m": "p + 20", "c": "m + 19", "q": "c + 15", "u": "q + 12", "i": "u + 11", "k": "a + 9", "z": "k + 1", "y": "z + 10", "g": "y + 19", "o": "g + 20", "h": "o + 11", "a": 19}, "premises": {"a": 19}, "target": "i"}, "answer": {"steps": [["u", "q + 12", "q + 23"], ["q", "c + 15", "c + 38"], ["c", "m + 19", "m + 57"], ["m", "p + 20", "p + 77"], ["p", "a + 11", "a + 88"], ["a", 19, "107"]], "target_var_name": "i", "target_value": 107, "value_dict": {"a": 19}, "is_reverse": true}} | 17,529 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = c + 15; c = m + 19; o = g + 20; h = o + 11; i = u + 11; p = a + 11; z = k + 1; m = p + 20; y = z + 10; u = q + 12; k = a + 9; g = y + 19; a = 19. Given that a = 19, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 107,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = q + 12 to i, which gives i = q + 23.\n2. Substitute q = c + 15 to i, which gives i = c + 38.\n3. Substitute c = m + 19 to i, which gives i = m + 57.\n4. Substitute m = p + 20 to i, which gives i = p + 77.\n5. Substitute p = a + 11 to i, which gives i = a + 88.\n6. Substitute a = 19 to i, which gives i = 107.\n\nThus, the final answer is i = \\boxed{107}.",
"index": 17529,
"question": "Suppose a collection of variables is related by the following definitions: q = c + 15; c = m + 19; o = g + 20; h = o + 11; i = u + 11; p = a + 11; z = k + 1; m = p + 20; y = z + 10; u = q + 12; k = a + 9; g = y + 19; a = 19. Given that a = 19, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"p": "e + 18", "d": "p + 4", "f": "d + 19", "w": "f + 4", "g": "w + 19", "i": "g + 20", "a": "e + 5", "m": "a + 15", "s": "m + 18", "x": "s + 6", "n": "x + 19", "o": "n + 2", "e": 3}, "premises": {"e": 3}, "target": "i"}, "answer": {"steps": [["g", "w + 19", "w + 39"], ["w", "f + 4", "f + 43"], ["f", "d + 19", "d + 62"], ["d", "p + 4", "p + 66"], ["p", "e + 18", "e + 84"], ["e", 3, "87"]], "target_var_name": "i", "target_value": 87, "value_dict": {"e": 3}, "is_reverse": true}} | 17,530 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = s + 6; s = m + 18; d = p + 4; g = w + 19; i = g + 20; w = f + 4; o = n + 2; n = x + 19; e = 3; p = e + 18; f = d + 19; a = e + 5; m = a + 15. If e = 3, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = w + 19 to i, which gives i = w + 39.\n2. Substitute w = f + 4 to i, which gives i = f + 43.\n3. Substitute f = d + 19 to i, which gives i = d + 62.\n4. Substitute d = p + 4 to i, which gives i = p + 66.\n5. Substitute p = e + 18 to i, which gives i = e + 84.\n6. Substitute e = 3 to i, which gives i = 87.\n\nThus, the final answer is i = \\boxed{87}.",
"index": 17530,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = s + 6; s = m + 18; d = p + 4; g = w + 19; i = g + 20; w = f + 4; o = n + 2; n = x + 19; e = 3; p = e + 18; f = d + 19; a = e + 5; m = a + 15. If e = 3, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"y": "b + 12", "o": "y + 14", "m": "o + 4", "f": "m + 16", "g": "f + 11", "j": "g + 12", "k": "b + 2", "q": "k + 5", "w": "q + 20", "i": "w + 7", "r": "i + 13", "h": "r + 9", "b": 3}, "premises": {"b": 3}, "target": "j"}, "answer": {"steps": [["g", "f + 11", "f + 23"], ["f", "m + 16", "m + 39"], ["m", "o + 4", "o + 43"], ["o", "y + 14", "y + 57"], ["y", "b + 12", "b + 69"], ["b", 3, "72"]], "target_var_name": "j", "target_value": 72, "value_dict": {"b": 3}, "is_reverse": true}} | 17,531 | 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 = y + 14; b = 3; j = g + 12; m = o + 4; h = r + 9; r = i + 13; w = q + 20; g = f + 11; f = m + 16; q = k + 5; y = b + 12; k = b + 2; i = w + 7. If b = 3, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = f + 11 to j, which gives j = f + 23.\n2. Substitute f = m + 16 to j, which gives j = m + 39.\n3. Substitute m = o + 4 to j, which gives j = o + 43.\n4. Substitute o = y + 14 to j, which gives j = y + 57.\n5. Substitute y = b + 12 to j, which gives j = b + 69.\n6. Substitute b = 3 to j, which gives j = 72.\n\nThus, the final answer is j = \\boxed{72}.",
"index": 17531,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = y + 14; b = 3; j = g + 12; m = o + 4; h = r + 9; r = i + 13; w = q + 20; g = f + 11; f = m + 16; q = k + 5; y = b + 12; k = b + 2; i = w + 7. If b = 3, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"p": "z + 2", "m": "p + 8", "x": "m + 20", "q": "x + 17", "j": "q + 13", "u": "j + 10", "g": "z + 18", "d": "g + 8", "e": "d + 15", "r": "e + 4", "f": "r + 16", "k": "f + 6", "z": 13}, "premises": {"z": 13}, "target": "u"}, "answer": {"steps": [["j", "q + 13", "q + 23"], ["q", "x + 17", "x + 40"], ["x", "m + 20", "m + 60"], ["m", "p + 8", "p + 68"], ["p", "z + 2", "z + 70"], ["z", 13, "83"]], "target_var_name": "u", "target_value": 83, "value_dict": {"z": 13}, "is_reverse": true}} | 17,532 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = x + 17; k = f + 6; m = p + 8; g = z + 18; j = q + 13; f = r + 16; u = j + 10; x = m + 20; z = 13; r = e + 4; d = g + 8; e = d + 15; p = z + 2. Given that z = 13, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = q + 13 to u, which gives u = q + 23.\n2. Substitute q = x + 17 to u, which gives u = x + 40.\n3. Substitute x = m + 20 to u, which gives u = m + 60.\n4. Substitute m = p + 8 to u, which gives u = p + 68.\n5. Substitute p = z + 2 to u, which gives u = z + 70.\n6. Substitute z = 13 to u, which gives u = 83.\n\nThus, the final answer is u = \\boxed{83}.",
"index": 17532,
"question": "Suppose a collection of variables is related by the following definitions: q = x + 17; k = f + 6; m = p + 8; g = z + 18; j = q + 13; f = r + 16; u = j + 10; x = m + 20; z = 13; r = e + 4; d = g + 8; e = d + 15; p = z + 2. Given that z = 13, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"i": "y + 15", "p": "i + 1", "g": "p + 6", "q": "g + 4", "v": "q + 13", "h": "v + 5", "r": "y + 9", "b": "r + 15", "t": "b + 20", "a": "t + 19", "d": "a + 10", "j": "d + 13", "y": 1}, "premises": {"y": 1}, "target": "h"}, "answer": {"steps": [["v", "q + 13", "q + 18"], ["q", "g + 4", "g + 22"], ["g", "p + 6", "p + 28"], ["p", "i + 1", "i + 29"], ["i", "y + 15", "y + 44"], ["y", 1, "45"]], "target_var_name": "h", "target_value": 45, "value_dict": {"y": 1}, "is_reverse": true}} | 17,533 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = y + 15; v = q + 13; j = d + 13; b = r + 15; r = y + 9; a = t + 19; d = a + 10; h = v + 5; g = p + 6; t = b + 20; y = 1; q = g + 4; p = i + 1. If y = 1, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = q + 13 to h, which gives h = q + 18.\n2. Substitute q = g + 4 to h, which gives h = g + 22.\n3. Substitute g = p + 6 to h, which gives h = p + 28.\n4. Substitute p = i + 1 to h, which gives h = i + 29.\n5. Substitute i = y + 15 to h, which gives h = y + 44.\n6. Substitute y = 1 to h, which gives h = 45.\n\nThus, the final answer is h = \\boxed{45}.",
"index": 17533,
"question": "Consider a system of variables where each variable is defined as follows: i = y + 15; v = q + 13; j = d + 13; b = r + 15; r = y + 9; a = t + 19; d = a + 10; h = v + 5; g = p + 6; t = b + 20; y = 1; q = g + 4; p = i + 1. If y = 1, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"n": "r + 17", "u": "n + 3", "j": "u + 17", "p": "j + 12", "z": "p + 7", "t": "z + 2", "a": "r + 12", "l": "a + 7", "h": "l + 11", "f": "h + 13", "g": "f + 6", "x": "g + 7", "r": 13}, "premises": {"r": 13}, "target": "t"}, "answer": {"steps": [["z", "p + 7", "p + 9"], ["p", "j + 12", "j + 21"], ["j", "u + 17", "u + 38"], ["u", "n + 3", "n + 41"], ["n", "r + 17", "r + 58"], ["r", 13, "71"]], "target_var_name": "t", "target_value": 71, "value_dict": {"r": 13}, "is_reverse": true}} | 17,534 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = j + 12; z = p + 7; r = 13; u = n + 3; x = g + 7; j = u + 17; g = f + 6; a = r + 12; t = z + 2; h = l + 11; l = a + 7; f = h + 13; n = r + 17. If r = 13, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = p + 7 to t, which gives t = p + 9.\n2. Substitute p = j + 12 to t, which gives t = j + 21.\n3. Substitute j = u + 17 to t, which gives t = u + 38.\n4. Substitute u = n + 3 to t, which gives t = n + 41.\n5. Substitute n = r + 17 to t, which gives t = r + 58.\n6. Substitute r = 13 to t, which gives t = 71.\n\nThus, the final answer is t = \\boxed{71}.",
"index": 17534,
"question": "Consider a system of variables where each variable is defined as follows: p = j + 12; z = p + 7; r = 13; u = n + 3; x = g + 7; j = u + 17; g = f + 6; a = r + 12; t = z + 2; h = l + 11; l = a + 7; f = h + 13; n = r + 17. If r = 13, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"o": "a + 11", "t": "o + 13", "e": "t + 1", "m": "e + 11", "h": "m + 6", "d": "h + 16", "u": "a + 19", "w": "u + 2", "k": "w + 14", "b": "k + 5", "y": "b + 1", "j": "y + 13", "a": 12}, "premises": {"a": 12}, "target": "d"}, "answer": {"steps": [["h", "m + 6", "m + 22"], ["m", "e + 11", "e + 33"], ["e", "t + 1", "t + 34"], ["t", "o + 13", "o + 47"], ["o", "a + 11", "a + 58"], ["a", 12, "70"]], "target_var_name": "d", "target_value": 70, "value_dict": {"a": 12}, "is_reverse": true}} | 17,535 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = m + 6; y = b + 1; o = a + 11; t = o + 13; a = 12; k = w + 14; d = h + 16; m = e + 11; j = y + 13; u = a + 19; e = t + 1; w = u + 2; b = k + 5. If a = 12, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = m + 6 to d, which gives d = m + 22.\n2. Substitute m = e + 11 to d, which gives d = e + 33.\n3. Substitute e = t + 1 to d, which gives d = t + 34.\n4. Substitute t = o + 13 to d, which gives d = o + 47.\n5. Substitute o = a + 11 to d, which gives d = a + 58.\n6. Substitute a = 12 to d, which gives d = 70.\n\nThus, the final answer is d = \\boxed{70}.",
"index": 17535,
"question": "Consider a system of variables where each variable is defined as follows: h = m + 6; y = b + 1; o = a + 11; t = o + 13; a = 12; k = w + 14; d = h + 16; m = e + 11; j = y + 13; u = a + 19; e = t + 1; w = u + 2; b = k + 5. If a = 12, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"e": "u + 13", "y": "e + 1", "n": "y + 9", "t": "n + 3", "v": "t + 5", "h": "v + 5", "a": "u + 20", "j": "a + 2", "b": "j + 10", "m": "b + 7", "c": "m + 16", "q": "c + 17", "u": 1}, "premises": {"u": 1}, "target": "h"}, "answer": {"steps": [["v", "t + 5", "t + 10"], ["t", "n + 3", "n + 13"], ["n", "y + 9", "y + 22"], ["y", "e + 1", "e + 23"], ["e", "u + 13", "u + 36"], ["u", 1, "37"]], "target_var_name": "h", "target_value": 37, "value_dict": {"u": 1}, "is_reverse": true}} | 17,536 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = a + 2; v = t + 5; y = e + 1; h = v + 5; b = j + 10; e = u + 13; t = n + 3; u = 1; m = b + 7; q = c + 17; c = m + 16; a = u + 20; n = y + 9. If u = 1, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 37,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = t + 5 to h, which gives h = t + 10.\n2. Substitute t = n + 3 to h, which gives h = n + 13.\n3. Substitute n = y + 9 to h, which gives h = y + 22.\n4. Substitute y = e + 1 to h, which gives h = e + 23.\n5. Substitute e = u + 13 to h, which gives h = u + 36.\n6. Substitute u = 1 to h, which gives h = 37.\n\nThus, the final answer is h = \\boxed{37}.",
"index": 17536,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = a + 2; v = t + 5; y = e + 1; h = v + 5; b = j + 10; e = u + 13; t = n + 3; u = 1; m = b + 7; q = c + 17; c = m + 16; a = u + 20; n = y + 9. If u = 1, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"m": "y + 6", "u": "m + 6", "s": "u + 18", "g": "s + 7", "c": "g + 12", "a": "c + 9", "e": "y + 12", "k": "e + 6", "r": "k + 17", "f": "r + 13", "h": "f + 16", "t": "h + 5", "y": 20}, "premises": {"y": 20}, "target": "a"}, "answer": {"steps": [["c", "g + 12", "g + 21"], ["g", "s + 7", "s + 28"], ["s", "u + 18", "u + 46"], ["u", "m + 6", "m + 52"], ["m", "y + 6", "y + 58"], ["y", 20, "78"]], "target_var_name": "a", "target_value": 78, "value_dict": {"y": 20}, "is_reverse": true}} | 17,537 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = f + 16; f = r + 13; u = m + 6; m = y + 6; s = u + 18; r = k + 17; c = g + 12; y = 20; t = h + 5; a = c + 9; e = y + 12; g = s + 7; k = e + 6. If y = 20, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = g + 12 to a, which gives a = g + 21.\n2. Substitute g = s + 7 to a, which gives a = s + 28.\n3. Substitute s = u + 18 to a, which gives a = u + 46.\n4. Substitute u = m + 6 to a, which gives a = m + 52.\n5. Substitute m = y + 6 to a, which gives a = y + 58.\n6. Substitute y = 20 to a, which gives a = 78.\n\nThus, the final answer is a = \\boxed{78}.",
"index": 17537,
"question": "Consider a system of variables where each variable is defined as follows: h = f + 16; f = r + 13; u = m + 6; m = y + 6; s = u + 18; r = k + 17; c = g + 12; y = 20; t = h + 5; a = c + 9; e = y + 12; g = s + 7; k = e + 6. If y = 20, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"y": "i + 18", "v": "y + 12", "e": "v + 15", "r": "e + 8", "g": "r + 19", "w": "g + 19", "l": "i + 19", "z": "l + 1", "q": "z + 11", "c": "q + 15", "u": "c + 5", "n": "u + 16", "i": 11}, "premises": {"i": 11}, "target": "w"}, "answer": {"steps": [["g", "r + 19", "r + 38"], ["r", "e + 8", "e + 46"], ["e", "v + 15", "v + 61"], ["v", "y + 12", "y + 73"], ["y", "i + 18", "i + 91"], ["i", 11, "102"]], "target_var_name": "w", "target_value": 102, "value_dict": {"i": 11}, "is_reverse": true}} | 17,538 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = i + 18; n = u + 16; z = l + 1; e = v + 15; w = g + 19; v = y + 12; c = q + 15; r = e + 8; l = i + 19; q = z + 11; u = c + 5; i = 11; g = r + 19. If i = 11, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 102,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = r + 19 to w, which gives w = r + 38.\n2. Substitute r = e + 8 to w, which gives w = e + 46.\n3. Substitute e = v + 15 to w, which gives w = v + 61.\n4. Substitute v = y + 12 to w, which gives w = y + 73.\n5. Substitute y = i + 18 to w, which gives w = i + 91.\n6. Substitute i = 11 to w, which gives w = 102.\n\nThus, the final answer is w = \\boxed{102}.",
"index": 17538,
"question": "Consider a system of variables where each variable is defined as follows: y = i + 18; n = u + 16; z = l + 1; e = v + 15; w = g + 19; v = y + 12; c = q + 15; r = e + 8; l = i + 19; q = z + 11; u = c + 5; i = 11; g = r + 19. If i = 11, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"e": "q + 19", "j": "e + 8", "w": "j + 17", "p": "w + 20", "u": "p + 12", "t": "u + 11", "x": "q + 11", "v": "x + 16", "i": "v + 2", "m": "i + 10", "k": "m + 14", "o": "k + 7", "q": 11}, "premises": {"q": 11}, "target": "t"}, "answer": {"steps": [["u", "p + 12", "p + 23"], ["p", "w + 20", "w + 43"], ["w", "j + 17", "j + 60"], ["j", "e + 8", "e + 68"], ["e", "q + 19", "q + 87"], ["q", 11, "98"]], "target_var_name": "t", "target_value": 98, "value_dict": {"q": 11}, "is_reverse": true}} | 17,539 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = e + 8; x = q + 11; k = m + 14; e = q + 19; q = 11; u = p + 12; o = k + 7; m = i + 10; w = j + 17; t = u + 11; p = w + 20; v = x + 16; i = v + 2. If q = 11, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = p + 12 to t, which gives t = p + 23.\n2. Substitute p = w + 20 to t, which gives t = w + 43.\n3. Substitute w = j + 17 to t, which gives t = j + 60.\n4. Substitute j = e + 8 to t, which gives t = e + 68.\n5. Substitute e = q + 19 to t, which gives t = q + 87.\n6. Substitute q = 11 to t, which gives t = 98.\n\nThus, the final answer is t = \\boxed{98}.",
"index": 17539,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = e + 8; x = q + 11; k = m + 14; e = q + 19; q = 11; u = p + 12; o = k + 7; m = i + 10; w = j + 17; t = u + 11; p = w + 20; v = x + 16; i = v + 2. If q = 11, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"n": "y + 14", "i": "n + 12", "j": "i + 2", "p": "j + 1", "s": "p + 4", "x": "s + 12", "z": "y + 7", "k": "z + 17", "a": "k + 9", "h": "a + 7", "v": "h + 12", "r": "v + 13", "y": 1}, "premises": {"y": 1}, "target": "x"}, "answer": {"steps": [["s", "p + 4", "p + 16"], ["p", "j + 1", "j + 17"], ["j", "i + 2", "i + 19"], ["i", "n + 12", "n + 31"], ["n", "y + 14", "y + 45"], ["y", 1, "46"]], "target_var_name": "x", "target_value": 46, "value_dict": {"y": 1}, "is_reverse": true}} | 17,540 | 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 = a + 7; v = h + 12; k = z + 17; a = k + 9; r = v + 13; y = 1; i = n + 12; s = p + 4; j = i + 2; n = y + 14; p = j + 1; z = y + 7; x = s + 12. If y = 1, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = p + 4 to x, which gives x = p + 16.\n2. Substitute p = j + 1 to x, which gives x = j + 17.\n3. Substitute j = i + 2 to x, which gives x = i + 19.\n4. Substitute i = n + 12 to x, which gives x = n + 31.\n5. Substitute n = y + 14 to x, which gives x = y + 45.\n6. Substitute y = 1 to x, which gives x = 46.\n\nThus, the final answer is x = \\boxed{46}.",
"index": 17540,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = a + 7; v = h + 12; k = z + 17; a = k + 9; r = v + 13; y = 1; i = n + 12; s = p + 4; j = i + 2; n = y + 14; p = j + 1; z = y + 7; x = s + 12. If y = 1, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"o": "n + 16", "k": "o + 8", "p": "k + 16", "v": "p + 4", "l": "v + 16", "e": "l + 11", "s": "n + 6", "q": "s + 14", "b": "q + 18", "t": "b + 14", "g": "t + 3", "r": "g + 17", "n": 17}, "premises": {"n": 17}, "target": "e"}, "answer": {"steps": [["l", "v + 16", "v + 27"], ["v", "p + 4", "p + 31"], ["p", "k + 16", "k + 47"], ["k", "o + 8", "o + 55"], ["o", "n + 16", "n + 71"], ["n", 17, "88"]], "target_var_name": "e", "target_value": 88, "value_dict": {"n": 17}, "is_reverse": true}} | 17,541 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = n + 6; r = g + 17; l = v + 16; b = q + 18; q = s + 14; e = l + 11; g = t + 3; o = n + 16; k = o + 8; t = b + 14; v = p + 4; p = k + 16; n = 17. If n = 17, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = v + 16 to e, which gives e = v + 27.\n2. Substitute v = p + 4 to e, which gives e = p + 31.\n3. Substitute p = k + 16 to e, which gives e = k + 47.\n4. Substitute k = o + 8 to e, which gives e = o + 55.\n5. Substitute o = n + 16 to e, which gives e = n + 71.\n6. Substitute n = 17 to e, which gives e = 88.\n\nThus, the final answer is e = \\boxed{88}.",
"index": 17541,
"question": "Consider a system of variables where each variable is defined as follows: s = n + 6; r = g + 17; l = v + 16; b = q + 18; q = s + 14; e = l + 11; g = t + 3; o = n + 16; k = o + 8; t = b + 14; v = p + 4; p = k + 16; n = 17. If n = 17, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"c": "z + 4", "h": "c + 17", "k": "h + 17", "o": "k + 6", "n": "o + 13", "x": "n + 11", "v": "z + 20", "a": "v + 2", "j": "a + 4", "q": "j + 7", "p": "q + 20", "g": "p + 3", "z": 1}, "premises": {"z": 1}, "target": "x"}, "answer": {"steps": [["n", "o + 13", "o + 24"], ["o", "k + 6", "k + 30"], ["k", "h + 17", "h + 47"], ["h", "c + 17", "c + 64"], ["c", "z + 4", "z + 68"], ["z", 1, "69"]], "target_var_name": "x", "target_value": 69, "value_dict": {"z": 1}, "is_reverse": true}} | 17,542 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = k + 6; z = 1; g = p + 3; x = n + 11; p = q + 20; a = v + 2; q = j + 7; c = z + 4; v = z + 20; n = o + 13; h = c + 17; j = a + 4; k = h + 17. Given that z = 1, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = o + 13 to x, which gives x = o + 24.\n2. Substitute o = k + 6 to x, which gives x = k + 30.\n3. Substitute k = h + 17 to x, which gives x = h + 47.\n4. Substitute h = c + 17 to x, which gives x = c + 64.\n5. Substitute c = z + 4 to x, which gives x = z + 68.\n6. Substitute z = 1 to x, which gives x = 69.\n\nThus, the final answer is x = \\boxed{69}.",
"index": 17542,
"question": "Suppose a collection of variables is related by the following definitions: o = k + 6; z = 1; g = p + 3; x = n + 11; p = q + 20; a = v + 2; q = j + 7; c = z + 4; v = z + 20; n = o + 13; h = c + 17; j = a + 4; k = h + 17. Given that z = 1, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"w": "s + 6", "q": "w + 12", "x": "q + 13", "p": "x + 18", "i": "p + 1", "j": "i + 11", "t": "s + 7", "c": "t + 11", "l": "c + 17", "b": "l + 19", "a": "b + 14", "v": "a + 16", "s": 13}, "premises": {"s": 13}, "target": "j"}, "answer": {"steps": [["i", "p + 1", "p + 12"], ["p", "x + 18", "x + 30"], ["x", "q + 13", "q + 43"], ["q", "w + 12", "w + 55"], ["w", "s + 6", "s + 61"], ["s", 13, "74"]], "target_var_name": "j", "target_value": 74, "value_dict": {"s": 13}, "is_reverse": true}} | 17,543 | 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 = t + 11; w = s + 6; b = l + 19; i = p + 1; s = 13; q = w + 12; j = i + 11; x = q + 13; a = b + 14; p = x + 18; v = a + 16; t = s + 7; l = c + 17. If s = 13, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = p + 1 to j, which gives j = p + 12.\n2. Substitute p = x + 18 to j, which gives j = x + 30.\n3. Substitute x = q + 13 to j, which gives j = q + 43.\n4. Substitute q = w + 12 to j, which gives j = w + 55.\n5. Substitute w = s + 6 to j, which gives j = s + 61.\n6. Substitute s = 13 to j, which gives j = 74.\n\nThus, the final answer is j = \\boxed{74}.",
"index": 17543,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = t + 11; w = s + 6; b = l + 19; i = p + 1; s = 13; q = w + 12; j = i + 11; x = q + 13; a = b + 14; p = x + 18; v = a + 16; t = s + 7; l = c + 17. If s = 13, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"o": "n + 1", "p": "o + 18", "v": "p + 16", "i": "v + 19", "s": "i + 7", "f": "s + 2", "a": "n + 20", "k": "a + 7", "l": "k + 14", "d": "l + 5", "h": "d + 17", "c": "h + 14", "n": 5}, "premises": {"n": 5}, "target": "f"}, "answer": {"steps": [["s", "i + 7", "i + 9"], ["i", "v + 19", "v + 28"], ["v", "p + 16", "p + 44"], ["p", "o + 18", "o + 62"], ["o", "n + 1", "n + 63"], ["n", 5, "68"]], "target_var_name": "f", "target_value": 68, "value_dict": {"n": 5}, "is_reverse": true}} | 17,544 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = s + 2; a = n + 20; p = o + 18; s = i + 7; n = 5; v = p + 16; i = v + 19; d = l + 5; k = a + 7; h = d + 17; o = n + 1; c = h + 14; l = k + 14. If n = 5, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = i + 7 to f, which gives f = i + 9.\n2. Substitute i = v + 19 to f, which gives f = v + 28.\n3. Substitute v = p + 16 to f, which gives f = p + 44.\n4. Substitute p = o + 18 to f, which gives f = o + 62.\n5. Substitute o = n + 1 to f, which gives f = n + 63.\n6. Substitute n = 5 to f, which gives f = 68.\n\nThus, the final answer is f = \\boxed{68}.",
"index": 17544,
"question": "Consider a system of variables where each variable is defined as follows: f = s + 2; a = n + 20; p = o + 18; s = i + 7; n = 5; v = p + 16; i = v + 19; d = l + 5; k = a + 7; h = d + 17; o = n + 1; c = h + 14; l = k + 14. If n = 5, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"g": "q + 17", "n": "g + 13", "d": "n + 18", "o": "d + 1", "s": "o + 13", "y": "s + 2", "p": "q + 15", "u": "p + 7", "w": "u + 18", "k": "w + 8", "c": "k + 8", "m": "c + 6", "q": 13}, "premises": {"q": 13}, "target": "y"}, "answer": {"steps": [["s", "o + 13", "o + 15"], ["o", "d + 1", "d + 16"], ["d", "n + 18", "n + 34"], ["n", "g + 13", "g + 47"], ["g", "q + 17", "q + 64"], ["q", 13, "77"]], "target_var_name": "y", "target_value": 77, "value_dict": {"q": 13}, "is_reverse": true}} | 17,545 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = q + 15; d = n + 18; o = d + 1; g = q + 17; s = o + 13; c = k + 8; k = w + 8; q = 13; n = g + 13; w = u + 18; u = p + 7; y = s + 2; m = c + 6. If q = 13, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = o + 13 to y, which gives y = o + 15.\n2. Substitute o = d + 1 to y, which gives y = d + 16.\n3. Substitute d = n + 18 to y, which gives y = n + 34.\n4. Substitute n = g + 13 to y, which gives y = g + 47.\n5. Substitute g = q + 17 to y, which gives y = q + 64.\n6. Substitute q = 13 to y, which gives y = 77.\n\nThus, the final answer is y = \\boxed{77}.",
"index": 17545,
"question": "Consider a system of variables where each variable is defined as follows: p = q + 15; d = n + 18; o = d + 1; g = q + 17; s = o + 13; c = k + 8; k = w + 8; q = 13; n = g + 13; w = u + 18; u = p + 7; y = s + 2; m = c + 6. If q = 13, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"a": "q + 20", "e": "a + 7", "g": "e + 18", "j": "g + 5", "c": "j + 7", "f": "c + 18", "h": "q + 12", "m": "h + 11", "x": "m + 17", "b": "x + 14", "k": "b + 17", "y": "k + 19", "q": 1}, "premises": {"q": 1}, "target": "f"}, "answer": {"steps": [["c", "j + 7", "j + 25"], ["j", "g + 5", "g + 30"], ["g", "e + 18", "e + 48"], ["e", "a + 7", "a + 55"], ["a", "q + 20", "q + 75"], ["q", 1, "76"]], "target_var_name": "f", "target_value": 76, "value_dict": {"q": 1}, "is_reverse": true}} | 17,546 | 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 = c + 18; c = j + 7; k = b + 17; h = q + 12; g = e + 18; q = 1; x = m + 17; a = q + 20; y = k + 19; e = a + 7; j = g + 5; b = x + 14; m = h + 11. If q = 1, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = j + 7 to f, which gives f = j + 25.\n2. Substitute j = g + 5 to f, which gives f = g + 30.\n3. Substitute g = e + 18 to f, which gives f = e + 48.\n4. Substitute e = a + 7 to f, which gives f = a + 55.\n5. Substitute a = q + 20 to f, which gives f = q + 75.\n6. Substitute q = 1 to f, which gives f = 76.\n\nThus, the final answer is f = \\boxed{76}.",
"index": 17546,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = c + 18; c = j + 7; k = b + 17; h = q + 12; g = e + 18; q = 1; x = m + 17; a = q + 20; y = k + 19; e = a + 7; j = g + 5; b = x + 14; m = h + 11. If q = 1, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"u": "w + 14", "j": "u + 3", "b": "j + 5", "k": "b + 15", "h": "k + 3", "a": "h + 17", "x": "w + 9", "q": "x + 20", "n": "q + 19", "r": "n + 6", "e": "r + 4", "l": "e + 6", "w": 15}, "premises": {"w": 15}, "target": "a"}, "answer": {"steps": [["h", "k + 3", "k + 20"], ["k", "b + 15", "b + 35"], ["b", "j + 5", "j + 40"], ["j", "u + 3", "u + 43"], ["u", "w + 14", "w + 57"], ["w", 15, "72"]], "target_var_name": "a", "target_value": 72, "value_dict": {"w": 15}, "is_reverse": true}} | 17,547 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = x + 20; e = r + 4; u = w + 14; a = h + 17; b = j + 5; h = k + 3; n = q + 19; l = e + 6; r = n + 6; j = u + 3; x = w + 9; w = 15; k = b + 15. If w = 15, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = k + 3 to a, which gives a = k + 20.\n2. Substitute k = b + 15 to a, which gives a = b + 35.\n3. Substitute b = j + 5 to a, which gives a = j + 40.\n4. Substitute j = u + 3 to a, which gives a = u + 43.\n5. Substitute u = w + 14 to a, which gives a = w + 57.\n6. Substitute w = 15 to a, which gives a = 72.\n\nThus, the final answer is a = \\boxed{72}.",
"index": 17547,
"question": "Consider a system of variables where each variable is defined as follows: q = x + 20; e = r + 4; u = w + 14; a = h + 17; b = j + 5; h = k + 3; n = q + 19; l = e + 6; r = n + 6; j = u + 3; x = w + 9; w = 15; k = b + 15. If w = 15, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"e": "f + 2", "i": "e + 17", "v": "i + 18", "u": "v + 5", "x": "u + 11", "l": "x + 2", "p": "f + 1", "h": "p + 5", "r": "h + 18", "a": "r + 16", "y": "a + 8", "o": "y + 2", "f": 13}, "premises": {"f": 13}, "target": "l"}, "answer": {"steps": [["x", "u + 11", "u + 13"], ["u", "v + 5", "v + 18"], ["v", "i + 18", "i + 36"], ["i", "e + 17", "e + 53"], ["e", "f + 2", "f + 55"], ["f", 13, "68"]], "target_var_name": "l", "target_value": 68, "value_dict": {"f": 13}, "is_reverse": true}} | 17,548 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = 13; h = p + 5; p = f + 1; o = y + 2; v = i + 18; r = h + 18; l = x + 2; u = v + 5; a = r + 16; e = f + 2; x = u + 11; y = a + 8; i = e + 17. If f = 13, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = u + 11 to l, which gives l = u + 13.\n2. Substitute u = v + 5 to l, which gives l = v + 18.\n3. Substitute v = i + 18 to l, which gives l = i + 36.\n4. Substitute i = e + 17 to l, which gives l = e + 53.\n5. Substitute e = f + 2 to l, which gives l = f + 55.\n6. Substitute f = 13 to l, which gives l = 68.\n\nThus, the final answer is l = \\boxed{68}.",
"index": 17548,
"question": "Consider a system of variables where each variable is defined as follows: f = 13; h = p + 5; p = f + 1; o = y + 2; v = i + 18; r = h + 18; l = x + 2; u = v + 5; a = r + 16; e = f + 2; x = u + 11; y = a + 8; i = e + 17. If f = 13, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"x": "t + 3", "p": "x + 3", "h": "p + 14", "j": "h + 13", "c": "j + 6", "d": "c + 4", "f": "t + 12", "s": "f + 18", "m": "s + 6", "z": "m + 1", "y": "z + 10", "v": "y + 14", "t": 5}, "premises": {"t": 5}, "target": "d"}, "answer": {"steps": [["c", "j + 6", "j + 10"], ["j", "h + 13", "h + 23"], ["h", "p + 14", "p + 37"], ["p", "x + 3", "x + 40"], ["x", "t + 3", "t + 43"], ["t", 5, "48"]], "target_var_name": "d", "target_value": 48, "value_dict": {"t": 5}, "is_reverse": true}} | 17,549 | 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 = f + 18; t = 5; f = t + 12; z = m + 1; x = t + 3; v = y + 14; j = h + 13; p = x + 3; d = c + 4; c = j + 6; h = p + 14; m = s + 6; y = z + 10. If t = 5, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = j + 6 to d, which gives d = j + 10.\n2. Substitute j = h + 13 to d, which gives d = h + 23.\n3. Substitute h = p + 14 to d, which gives d = p + 37.\n4. Substitute p = x + 3 to d, which gives d = x + 40.\n5. Substitute x = t + 3 to d, which gives d = t + 43.\n6. Substitute t = 5 to d, which gives d = 48.\n\nThus, the final answer is d = \\boxed{48}.",
"index": 17549,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = f + 18; t = 5; f = t + 12; z = m + 1; x = t + 3; v = y + 14; j = h + 13; p = x + 3; d = c + 4; c = j + 6; h = p + 14; m = s + 6; y = z + 10. If t = 5, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"s": "x + 9", "f": "s + 2", "b": "f + 11", "w": "b + 17", "h": "w + 10", "m": "h + 11", "o": "x + 2", "e": "o + 14", "q": "e + 14", "i": "q + 8", "c": "i + 8", "l": "c + 5", "x": 17}, "premises": {"x": 17}, "target": "m"}, "answer": {"steps": [["h", "w + 10", "w + 21"], ["w", "b + 17", "b + 38"], ["b", "f + 11", "f + 49"], ["f", "s + 2", "s + 51"], ["s", "x + 9", "x + 60"], ["x", 17, "77"]], "target_var_name": "m", "target_value": 77, "value_dict": {"x": 17}, "is_reverse": true}} | 17,550 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = f + 11; l = c + 5; f = s + 2; c = i + 8; q = e + 14; o = x + 2; e = o + 14; h = w + 10; i = q + 8; m = h + 11; x = 17; s = x + 9; w = b + 17. If x = 17, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = w + 10 to m, which gives m = w + 21.\n2. Substitute w = b + 17 to m, which gives m = b + 38.\n3. Substitute b = f + 11 to m, which gives m = f + 49.\n4. Substitute f = s + 2 to m, which gives m = s + 51.\n5. Substitute s = x + 9 to m, which gives m = x + 60.\n6. Substitute x = 17 to m, which gives m = 77.\n\nThus, the final answer is m = \\boxed{77}.",
"index": 17550,
"question": "Consider a system of variables where each variable is defined as follows: b = f + 11; l = c + 5; f = s + 2; c = i + 8; q = e + 14; o = x + 2; e = o + 14; h = w + 10; i = q + 8; m = h + 11; x = 17; s = x + 9; w = b + 17. If x = 17, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"o": "z + 6", "w": "o + 11", "c": "w + 10", "n": "c + 18", "b": "n + 20", "u": "b + 14", "h": "z + 18", "t": "h + 9", "i": "t + 19", "f": "i + 20", "e": "f + 11", "y": "e + 1", "z": 1}, "premises": {"z": 1}, "target": "u"}, "answer": {"steps": [["b", "n + 20", "n + 34"], ["n", "c + 18", "c + 52"], ["c", "w + 10", "w + 62"], ["w", "o + 11", "o + 73"], ["o", "z + 6", "z + 79"], ["z", 1, "80"]], "target_var_name": "u", "target_value": 80, "value_dict": {"z": 1}, "is_reverse": true}} | 17,551 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = f + 11; b = n + 20; h = z + 18; i = t + 19; o = z + 6; w = o + 11; f = i + 20; c = w + 10; t = h + 9; n = c + 18; u = b + 14; z = 1; y = e + 1. If z = 1, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = n + 20 to u, which gives u = n + 34.\n2. Substitute n = c + 18 to u, which gives u = c + 52.\n3. Substitute c = w + 10 to u, which gives u = w + 62.\n4. Substitute w = o + 11 to u, which gives u = o + 73.\n5. Substitute o = z + 6 to u, which gives u = z + 79.\n6. Substitute z = 1 to u, which gives u = 80.\n\nThus, the final answer is u = \\boxed{80}.",
"index": 17551,
"question": "Consider a system of variables where each variable is defined as follows: e = f + 11; b = n + 20; h = z + 18; i = t + 19; o = z + 6; w = o + 11; f = i + 20; c = w + 10; t = h + 9; n = c + 18; u = b + 14; z = 1; y = e + 1. If z = 1, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"f": "i + 17", "e": "f + 10", "p": "e + 16", "b": "p + 4", "s": "b + 11", "l": "s + 14", "u": "i + 10", "o": "u + 9", "y": "o + 19", "w": "y + 13", "v": "w + 14", "m": "v + 8", "i": 4}, "premises": {"i": 4}, "target": "l"}, "answer": {"steps": [["s", "b + 11", "b + 25"], ["b", "p + 4", "p + 29"], ["p", "e + 16", "e + 45"], ["e", "f + 10", "f + 55"], ["f", "i + 17", "i + 72"], ["i", 4, "76"]], "target_var_name": "l", "target_value": 76, "value_dict": {"i": 4}, "is_reverse": true}} | 17,552 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = v + 8; o = u + 9; p = e + 16; y = o + 19; l = s + 14; b = p + 4; w = y + 13; i = 4; f = i + 17; u = i + 10; v = w + 14; e = f + 10; s = b + 11. Given that i = 4, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = b + 11 to l, which gives l = b + 25.\n2. Substitute b = p + 4 to l, which gives l = p + 29.\n3. Substitute p = e + 16 to l, which gives l = e + 45.\n4. Substitute e = f + 10 to l, which gives l = f + 55.\n5. Substitute f = i + 17 to l, which gives l = i + 72.\n6. Substitute i = 4 to l, which gives l = 76.\n\nThus, the final answer is l = \\boxed{76}.",
"index": 17552,
"question": "Suppose a collection of variables is related by the following definitions: m = v + 8; o = u + 9; p = e + 16; y = o + 19; l = s + 14; b = p + 4; w = y + 13; i = 4; f = i + 17; u = i + 10; v = w + 14; e = f + 10; s = b + 11. Given that i = 4, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"e": "h + 18", "s": "e + 16", "v": "s + 1", "t": "v + 20", "k": "t + 17", "g": "k + 20", "f": "h + 5", "n": "f + 18", "b": "n + 5", "x": "b + 1", "r": "x + 5", "p": "r + 10", "h": 12}, "premises": {"h": 12}, "target": "g"}, "answer": {"steps": [["k", "t + 17", "t + 37"], ["t", "v + 20", "v + 57"], ["v", "s + 1", "s + 58"], ["s", "e + 16", "e + 74"], ["e", "h + 18", "h + 92"], ["h", 12, "104"]], "target_var_name": "g", "target_value": 104, "value_dict": {"h": 12}, "is_reverse": true}} | 17,553 | 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 = h + 5; n = f + 18; b = n + 5; t = v + 20; h = 12; p = r + 10; g = k + 20; x = b + 1; k = t + 17; s = e + 16; e = h + 18; v = s + 1; r = x + 5. If h = 12, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 104,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = t + 17 to g, which gives g = t + 37.\n2. Substitute t = v + 20 to g, which gives g = v + 57.\n3. Substitute v = s + 1 to g, which gives g = s + 58.\n4. Substitute s = e + 16 to g, which gives g = e + 74.\n5. Substitute e = h + 18 to g, which gives g = h + 92.\n6. Substitute h = 12 to g, which gives g = 104.\n\nThus, the final answer is g = \\boxed{104}.",
"index": 17553,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = h + 5; n = f + 18; b = n + 5; t = v + 20; h = 12; p = r + 10; g = k + 20; x = b + 1; k = t + 17; s = e + 16; e = h + 18; v = s + 1; r = x + 5. If h = 12, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"j": "i + 12", "s": "j + 18", "y": "s + 8", "b": "y + 20", "e": "b + 9", "t": "e + 20", "z": "i + 19", "h": "z + 4", "o": "h + 8", "g": "o + 18", "f": "g + 19", "w": "f + 4", "i": 12}, "premises": {"i": 12}, "target": "t"}, "answer": {"steps": [["e", "b + 9", "b + 29"], ["b", "y + 20", "y + 49"], ["y", "s + 8", "s + 57"], ["s", "j + 18", "j + 75"], ["j", "i + 12", "i + 87"], ["i", 12, "99"]], "target_var_name": "t", "target_value": 99, "value_dict": {"i": 12}, "is_reverse": true}} | 17,554 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = h + 8; y = s + 8; w = f + 4; h = z + 4; g = o + 18; t = e + 20; i = 12; b = y + 20; z = i + 19; f = g + 19; j = i + 12; e = b + 9; s = j + 18. If i = 12, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = b + 9 to t, which gives t = b + 29.\n2. Substitute b = y + 20 to t, which gives t = y + 49.\n3. Substitute y = s + 8 to t, which gives t = s + 57.\n4. Substitute s = j + 18 to t, which gives t = j + 75.\n5. Substitute j = i + 12 to t, which gives t = i + 87.\n6. Substitute i = 12 to t, which gives t = 99.\n\nThus, the final answer is t = \\boxed{99}.",
"index": 17554,
"question": "Consider a system of variables where each variable is defined as follows: o = h + 8; y = s + 8; w = f + 4; h = z + 4; g = o + 18; t = e + 20; i = 12; b = y + 20; z = i + 19; f = g + 19; j = i + 12; e = b + 9; s = j + 18. If i = 12, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"i": "l + 15", "x": "i + 9", "a": "x + 6", "s": "a + 18", "b": "s + 7", "u": "b + 14", "y": "l + 18", "c": "y + 9", "m": "c + 17", "t": "m + 12", "n": "t + 18", "o": "n + 2", "l": 10}, "premises": {"l": 10}, "target": "u"}, "answer": {"steps": [["b", "s + 7", "s + 21"], ["s", "a + 18", "a + 39"], ["a", "x + 6", "x + 45"], ["x", "i + 9", "i + 54"], ["i", "l + 15", "l + 69"], ["l", 10, "79"]], "target_var_name": "u", "target_value": 79, "value_dict": {"l": 10}, "is_reverse": true}} | 17,555 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = 10; c = y + 9; a = x + 6; y = l + 18; t = m + 12; b = s + 7; s = a + 18; n = t + 18; o = n + 2; i = l + 15; m = c + 17; u = b + 14; x = i + 9. Given that l = 10, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = s + 7 to u, which gives u = s + 21.\n2. Substitute s = a + 18 to u, which gives u = a + 39.\n3. Substitute a = x + 6 to u, which gives u = x + 45.\n4. Substitute x = i + 9 to u, which gives u = i + 54.\n5. Substitute i = l + 15 to u, which gives u = l + 69.\n6. Substitute l = 10 to u, which gives u = 79.\n\nThus, the final answer is u = \\boxed{79}.",
"index": 17555,
"question": "Suppose a collection of variables is related by the following definitions: l = 10; c = y + 9; a = x + 6; y = l + 18; t = m + 12; b = s + 7; s = a + 18; n = t + 18; o = n + 2; i = l + 15; m = c + 17; u = b + 14; x = i + 9. Given that l = 10, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"g": "e + 6", "w": "g + 10", "q": "w + 11", "k": "q + 10", "r": "k + 10", "h": "r + 13", "t": "e + 19", "m": "t + 19", "j": "m + 19", "o": "j + 5", "b": "o + 9", "n": "b + 3", "e": 13}, "premises": {"e": 13}, "target": "h"}, "answer": {"steps": [["r", "k + 10", "k + 23"], ["k", "q + 10", "q + 33"], ["q", "w + 11", "w + 44"], ["w", "g + 10", "g + 54"], ["g", "e + 6", "e + 60"], ["e", 13, "73"]], "target_var_name": "h", "target_value": 73, "value_dict": {"e": 13}, "is_reverse": true}} | 17,556 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = j + 5; e = 13; r = k + 10; h = r + 13; g = e + 6; m = t + 19; b = o + 9; w = g + 10; n = b + 3; j = m + 19; t = e + 19; k = q + 10; q = w + 11. Given that e = 13, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = k + 10 to h, which gives h = k + 23.\n2. Substitute k = q + 10 to h, which gives h = q + 33.\n3. Substitute q = w + 11 to h, which gives h = w + 44.\n4. Substitute w = g + 10 to h, which gives h = g + 54.\n5. Substitute g = e + 6 to h, which gives h = e + 60.\n6. Substitute e = 13 to h, which gives h = 73.\n\nThus, the final answer is h = \\boxed{73}.",
"index": 17556,
"question": "Suppose a collection of variables is related by the following definitions: o = j + 5; e = 13; r = k + 10; h = r + 13; g = e + 6; m = t + 19; b = o + 9; w = g + 10; n = b + 3; j = m + 19; t = e + 19; k = q + 10; q = w + 11. Given that e = 13, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"a": "k + 14", "q": "a + 3", "u": "q + 6", "c": "u + 15", "z": "c + 18", "n": "z + 20", "w": "k + 13", "i": "w + 20", "t": "i + 6", "g": "t + 14", "p": "g + 14", "j": "p + 3", "k": 20}, "premises": {"k": 20}, "target": "n"}, "answer": {"steps": [["z", "c + 18", "c + 38"], ["c", "u + 15", "u + 53"], ["u", "q + 6", "q + 59"], ["q", "a + 3", "a + 62"], ["a", "k + 14", "k + 76"], ["k", 20, "96"]], "target_var_name": "n", "target_value": 96, "value_dict": {"k": 20}, "is_reverse": true}} | 17,557 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = c + 18; w = k + 13; n = z + 20; u = q + 6; a = k + 14; j = p + 3; q = a + 3; g = t + 14; i = w + 20; t = i + 6; p = g + 14; c = u + 15; k = 20. If k = 20, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = c + 18 to n, which gives n = c + 38.\n2. Substitute c = u + 15 to n, which gives n = u + 53.\n3. Substitute u = q + 6 to n, which gives n = q + 59.\n4. Substitute q = a + 3 to n, which gives n = a + 62.\n5. Substitute a = k + 14 to n, which gives n = k + 76.\n6. Substitute k = 20 to n, which gives n = 96.\n\nThus, the final answer is n = \\boxed{96}.",
"index": 17557,
"question": "Consider a system of variables where each variable is defined as follows: z = c + 18; w = k + 13; n = z + 20; u = q + 6; a = k + 14; j = p + 3; q = a + 3; g = t + 14; i = w + 20; t = i + 6; p = g + 14; c = u + 15; k = 20. If k = 20, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"f": "z + 11", "k": "f + 9", "j": "k + 18", "u": "j + 13", "x": "u + 18", "l": "x + 18", "s": "z + 11", "r": "s + 4", "m": "r + 11", "b": "m + 20", "h": "b + 3", "v": "h + 2", "z": 6}, "premises": {"z": 6}, "target": "l"}, "answer": {"steps": [["x", "u + 18", "u + 36"], ["u", "j + 13", "j + 49"], ["j", "k + 18", "k + 67"], ["k", "f + 9", "f + 76"], ["f", "z + 11", "z + 87"], ["z", 6, "93"]], "target_var_name": "l", "target_value": 93, "value_dict": {"z": 6}, "is_reverse": true}} | 17,558 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = j + 13; s = z + 11; k = f + 9; m = r + 11; b = m + 20; z = 6; x = u + 18; f = z + 11; h = b + 3; r = s + 4; l = x + 18; j = k + 18; v = h + 2. If z = 6, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = u + 18 to l, which gives l = u + 36.\n2. Substitute u = j + 13 to l, which gives l = j + 49.\n3. Substitute j = k + 18 to l, which gives l = k + 67.\n4. Substitute k = f + 9 to l, which gives l = f + 76.\n5. Substitute f = z + 11 to l, which gives l = z + 87.\n6. Substitute z = 6 to l, which gives l = 93.\n\nThus, the final answer is l = \\boxed{93}.",
"index": 17558,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = j + 13; s = z + 11; k = f + 9; m = r + 11; b = m + 20; z = 6; x = u + 18; f = z + 11; h = b + 3; r = s + 4; l = x + 18; j = k + 18; v = h + 2. If z = 6, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"p": "k + 12", "y": "p + 18", "l": "y + 3", "i": "l + 15", "h": "i + 12", "c": "h + 1", "d": "k + 12", "o": "d + 16", "w": "o + 4", "v": "w + 1", "m": "v + 11", "u": "m + 8", "k": 15}, "premises": {"k": 15}, "target": "c"}, "answer": {"steps": [["h", "i + 12", "i + 13"], ["i", "l + 15", "l + 28"], ["l", "y + 3", "y + 31"], ["y", "p + 18", "p + 49"], ["p", "k + 12", "k + 61"], ["k", 15, "76"]], "target_var_name": "c", "target_value": 76, "value_dict": {"k": 15}, "is_reverse": true}} | 17,559 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = k + 12; v = w + 1; i = l + 15; k = 15; y = p + 18; h = i + 12; l = y + 3; u = m + 8; m = v + 11; d = k + 12; c = h + 1; o = d + 16; w = o + 4. If k = 15, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = i + 12 to c, which gives c = i + 13.\n2. Substitute i = l + 15 to c, which gives c = l + 28.\n3. Substitute l = y + 3 to c, which gives c = y + 31.\n4. Substitute y = p + 18 to c, which gives c = p + 49.\n5. Substitute p = k + 12 to c, which gives c = k + 61.\n6. Substitute k = 15 to c, which gives c = 76.\n\nThus, the final answer is c = \\boxed{76}.",
"index": 17559,
"question": "Consider a system of variables where each variable is defined as follows: p = k + 12; v = w + 1; i = l + 15; k = 15; y = p + 18; h = i + 12; l = y + 3; u = m + 8; m = v + 11; d = k + 12; c = h + 1; o = d + 16; w = o + 4. If k = 15, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"m": "w + 3", "o": "m + 13", "t": "o + 8", "y": "t + 16", "r": "y + 5", "x": "r + 4", "i": "w + 2", "a": "i + 14", "u": "a + 3", "s": "u + 14", "d": "s + 1", "c": "d + 12", "w": 7}, "premises": {"w": 7}, "target": "x"}, "answer": {"steps": [["r", "y + 5", "y + 9"], ["y", "t + 16", "t + 25"], ["t", "o + 8", "o + 33"], ["o", "m + 13", "m + 46"], ["m", "w + 3", "w + 49"], ["w", 7, "56"]], "target_var_name": "x", "target_value": 56, "value_dict": {"w": 7}, "is_reverse": true}} | 17,560 | 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 = t + 16; d = s + 1; t = o + 8; w = 7; m = w + 3; a = i + 14; x = r + 4; u = a + 3; c = d + 12; r = y + 5; i = w + 2; o = m + 13; s = u + 14. If w = 7, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = y + 5 to x, which gives x = y + 9.\n2. Substitute y = t + 16 to x, which gives x = t + 25.\n3. Substitute t = o + 8 to x, which gives x = o + 33.\n4. Substitute o = m + 13 to x, which gives x = m + 46.\n5. Substitute m = w + 3 to x, which gives x = w + 49.\n6. Substitute w = 7 to x, which gives x = 56.\n\nThus, the final answer is x = \\boxed{56}.",
"index": 17560,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = t + 16; d = s + 1; t = o + 8; w = 7; m = w + 3; a = i + 14; x = r + 4; u = a + 3; c = d + 12; r = y + 5; i = w + 2; o = m + 13; s = u + 14. If w = 7, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"p": "s + 5", "d": "p + 15", "r": "d + 6", "l": "r + 19", "c": "l + 3", "z": "c + 4", "w": "s + 4", "m": "w + 17", "h": "m + 15", "g": "h + 5", "y": "g + 7", "v": "y + 5", "s": 4}, "premises": {"s": 4}, "target": "z"}, "answer": {"steps": [["c", "l + 3", "l + 7"], ["l", "r + 19", "r + 26"], ["r", "d + 6", "d + 32"], ["d", "p + 15", "p + 47"], ["p", "s + 5", "s + 52"], ["s", 4, "56"]], "target_var_name": "z", "target_value": 56, "value_dict": {"s": 4}, "is_reverse": true}} | 17,561 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = 4; y = g + 7; c = l + 3; h = m + 15; g = h + 5; p = s + 5; l = r + 19; r = d + 6; v = y + 5; m = w + 17; d = p + 15; w = s + 4; z = c + 4. If s = 4, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = l + 3 to z, which gives z = l + 7.\n2. Substitute l = r + 19 to z, which gives z = r + 26.\n3. Substitute r = d + 6 to z, which gives z = d + 32.\n4. Substitute d = p + 15 to z, which gives z = p + 47.\n5. Substitute p = s + 5 to z, which gives z = s + 52.\n6. Substitute s = 4 to z, which gives z = 56.\n\nThus, the final answer is z = \\boxed{56}.",
"index": 17561,
"question": "Consider a system of variables where each variable is defined as follows: s = 4; y = g + 7; c = l + 3; h = m + 15; g = h + 5; p = s + 5; l = r + 19; r = d + 6; v = y + 5; m = w + 17; d = p + 15; w = s + 4; z = c + 4. If s = 4, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"o": "t + 12", "q": "o + 3", "x": "q + 1", "m": "x + 20", "v": "m + 7", "l": "v + 8", "k": "t + 1", "d": "k + 19", "r": "d + 19", "z": "r + 16", "s": "z + 12", "a": "s + 15", "t": 3}, "premises": {"t": 3}, "target": "l"}, "answer": {"steps": [["v", "m + 7", "m + 15"], ["m", "x + 20", "x + 35"], ["x", "q + 1", "q + 36"], ["q", "o + 3", "o + 39"], ["o", "t + 12", "t + 51"], ["t", 3, "54"]], "target_var_name": "l", "target_value": 54, "value_dict": {"t": 3}, "is_reverse": true}} | 17,562 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = o + 3; k = t + 1; l = v + 8; a = s + 15; r = d + 19; z = r + 16; o = t + 12; t = 3; m = x + 20; d = k + 19; v = m + 7; x = q + 1; s = z + 12. If t = 3, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = m + 7 to l, which gives l = m + 15.\n2. Substitute m = x + 20 to l, which gives l = x + 35.\n3. Substitute x = q + 1 to l, which gives l = q + 36.\n4. Substitute q = o + 3 to l, which gives l = o + 39.\n5. Substitute o = t + 12 to l, which gives l = t + 51.\n6. Substitute t = 3 to l, which gives l = 54.\n\nThus, the final answer is l = \\boxed{54}.",
"index": 17562,
"question": "Consider a system of variables where each variable is defined as follows: q = o + 3; k = t + 1; l = v + 8; a = s + 15; r = d + 19; z = r + 16; o = t + 12; t = 3; m = x + 20; d = k + 19; v = m + 7; x = q + 1; s = z + 12. If t = 3, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"k": "e + 20", "m": "k + 7", "x": "m + 11", "f": "x + 14", "w": "f + 15", "j": "w + 15", "a": "e + 18", "q": "a + 13", "h": "q + 7", "z": "h + 12", "y": "z + 16", "b": "y + 6", "e": 4}, "premises": {"e": 4}, "target": "j"}, "answer": {"steps": [["w", "f + 15", "f + 30"], ["f", "x + 14", "x + 44"], ["x", "m + 11", "m + 55"], ["m", "k + 7", "k + 62"], ["k", "e + 20", "e + 82"], ["e", 4, "86"]], "target_var_name": "j", "target_value": 86, "value_dict": {"e": 4}, "is_reverse": true}} | 17,563 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = e + 20; z = h + 12; w = f + 15; f = x + 14; q = a + 13; j = w + 15; m = k + 7; e = 4; b = y + 6; h = q + 7; a = e + 18; y = z + 16; x = m + 11. Given that e = 4, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = f + 15 to j, which gives j = f + 30.\n2. Substitute f = x + 14 to j, which gives j = x + 44.\n3. Substitute x = m + 11 to j, which gives j = m + 55.\n4. Substitute m = k + 7 to j, which gives j = k + 62.\n5. Substitute k = e + 20 to j, which gives j = e + 82.\n6. Substitute e = 4 to j, which gives j = 86.\n\nThus, the final answer is j = \\boxed{86}.",
"index": 17563,
"question": "Suppose a collection of variables is related by the following definitions: k = e + 20; z = h + 12; w = f + 15; f = x + 14; q = a + 13; j = w + 15; m = k + 7; e = 4; b = y + 6; h = q + 7; a = e + 18; y = z + 16; x = m + 11. Given that e = 4, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"m": "n + 16", "t": "m + 18", "v": "t + 16", "a": "v + 6", "i": "a + 6", "d": "i + 18", "o": "n + 14", "z": "o + 6", "l": "z + 17", "u": "l + 9", "e": "u + 2", "p": "e + 12", "n": 9}, "premises": {"n": 9}, "target": "d"}, "answer": {"steps": [["i", "a + 6", "a + 24"], ["a", "v + 6", "v + 30"], ["v", "t + 16", "t + 46"], ["t", "m + 18", "m + 64"], ["m", "n + 16", "n + 80"], ["n", 9, "89"]], "target_var_name": "d", "target_value": 89, "value_dict": {"n": 9}, "is_reverse": true}} | 17,564 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = z + 17; e = u + 2; p = e + 12; z = o + 6; n = 9; v = t + 16; m = n + 16; o = n + 14; t = m + 18; a = v + 6; u = l + 9; d = i + 18; i = a + 6. If n = 9, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = a + 6 to d, which gives d = a + 24.\n2. Substitute a = v + 6 to d, which gives d = v + 30.\n3. Substitute v = t + 16 to d, which gives d = t + 46.\n4. Substitute t = m + 18 to d, which gives d = m + 64.\n5. Substitute m = n + 16 to d, which gives d = n + 80.\n6. Substitute n = 9 to d, which gives d = 89.\n\nThus, the final answer is d = \\boxed{89}.",
"index": 17564,
"question": "Consider a system of variables where each variable is defined as follows: l = z + 17; e = u + 2; p = e + 12; z = o + 6; n = 9; v = t + 16; m = n + 16; o = n + 14; t = m + 18; a = v + 6; u = l + 9; d = i + 18; i = a + 6. If n = 9, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"z": "n + 16", "p": "z + 6", "b": "p + 20", "u": "b + 6", "d": "u + 15", "l": "d + 3", "h": "n + 13", "s": "h + 11", "t": "s + 19", "k": "t + 13", "v": "k + 12", "m": "v + 5", "n": 5}, "premises": {"n": 5}, "target": "l"}, "answer": {"steps": [["d", "u + 15", "u + 18"], ["u", "b + 6", "b + 24"], ["b", "p + 20", "p + 44"], ["p", "z + 6", "z + 50"], ["z", "n + 16", "n + 66"], ["n", 5, "71"]], "target_var_name": "l", "target_value": 71, "value_dict": {"n": 5}, "is_reverse": true}} | 17,565 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = s + 19; s = h + 11; n = 5; p = z + 6; k = t + 13; h = n + 13; v = k + 12; l = d + 3; z = n + 16; u = b + 6; m = v + 5; d = u + 15; b = p + 20. If n = 5, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = u + 15 to l, which gives l = u + 18.\n2. Substitute u = b + 6 to l, which gives l = b + 24.\n3. Substitute b = p + 20 to l, which gives l = p + 44.\n4. Substitute p = z + 6 to l, which gives l = z + 50.\n5. Substitute z = n + 16 to l, which gives l = n + 66.\n6. Substitute n = 5 to l, which gives l = 71.\n\nThus, the final answer is l = \\boxed{71}.",
"index": 17565,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = s + 19; s = h + 11; n = 5; p = z + 6; k = t + 13; h = n + 13; v = k + 12; l = d + 3; z = n + 16; u = b + 6; m = v + 5; d = u + 15; b = p + 20. If n = 5, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"d": "y + 11", "t": "d + 11", "a": "t + 19", "v": "a + 3", "o": "v + 17", "h": "o + 1", "m": "y + 14", "s": "m + 14", "l": "s + 12", "u": "l + 11", "b": "u + 2", "g": "b + 14", "y": 16}, "premises": {"y": 16}, "target": "h"}, "answer": {"steps": [["o", "v + 17", "v + 18"], ["v", "a + 3", "a + 21"], ["a", "t + 19", "t + 40"], ["t", "d + 11", "d + 51"], ["d", "y + 11", "y + 62"], ["y", 16, "78"]], "target_var_name": "h", "target_value": 78, "value_dict": {"y": 16}, "is_reverse": true}} | 17,566 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = y + 11; s = m + 14; y = 16; h = o + 1; a = t + 19; u = l + 11; b = u + 2; v = a + 3; l = s + 12; m = y + 14; t = d + 11; g = b + 14; o = v + 17. Given that y = 16, find the 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 o = v + 17 to h, which gives h = v + 18.\n2. Substitute v = a + 3 to h, which gives h = a + 21.\n3. Substitute a = t + 19 to h, which gives h = t + 40.\n4. Substitute t = d + 11 to h, which gives h = d + 51.\n5. Substitute d = y + 11 to h, which gives h = y + 62.\n6. Substitute y = 16 to h, which gives h = 78.\n\nThus, the final answer is h = \\boxed{78}.",
"index": 17566,
"question": "Suppose a collection of variables is related by the following definitions: d = y + 11; s = m + 14; y = 16; h = o + 1; a = t + 19; u = l + 11; b = u + 2; v = a + 3; l = s + 12; m = y + 14; t = d + 11; g = b + 14; o = v + 17. Given that y = 16, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"o": "a + 1", "t": "o + 14", "m": "t + 12", "v": "m + 15", "g": "v + 19", "z": "g + 3", "d": "a + 2", "e": "d + 11", "q": "e + 13", "n": "q + 12", "x": "n + 14", "y": "x + 17", "a": 19}, "premises": {"a": 19}, "target": "z"}, "answer": {"steps": [["g", "v + 19", "v + 22"], ["v", "m + 15", "m + 37"], ["m", "t + 12", "t + 49"], ["t", "o + 14", "o + 63"], ["o", "a + 1", "a + 64"], ["a", 19, "83"]], "target_var_name": "z", "target_value": 83, "value_dict": {"a": 19}, "is_reverse": true}} | 17,567 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = m + 15; q = e + 13; m = t + 12; e = d + 11; z = g + 3; g = v + 19; y = x + 17; d = a + 2; x = n + 14; o = a + 1; n = q + 12; a = 19; t = o + 14. If a = 19, determine 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 g = v + 19 to z, which gives z = v + 22.\n2. Substitute v = m + 15 to z, which gives z = m + 37.\n3. Substitute m = t + 12 to z, which gives z = t + 49.\n4. Substitute t = o + 14 to z, which gives z = o + 63.\n5. Substitute o = a + 1 to z, which gives z = a + 64.\n6. Substitute a = 19 to z, which gives z = 83.\n\nThus, the final answer is z = \\boxed{83}.",
"index": 17567,
"question": "Consider a system of variables where each variable is defined as follows: v = m + 15; q = e + 13; m = t + 12; e = d + 11; z = g + 3; g = v + 19; y = x + 17; d = a + 2; x = n + 14; o = a + 1; n = q + 12; a = 19; t = o + 14. If a = 19, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"c": "r + 4", "s": "c + 7", "p": "s + 7", "h": "p + 4", "t": "h + 15", "k": "t + 13", "a": "r + 20", "y": "a + 9", "m": "y + 16", "j": "m + 16", "z": "j + 8", "o": "z + 1", "r": 4}, "premises": {"r": 4}, "target": "k"}, "answer": {"steps": [["t", "h + 15", "h + 28"], ["h", "p + 4", "p + 32"], ["p", "s + 7", "s + 39"], ["s", "c + 7", "c + 46"], ["c", "r + 4", "r + 50"], ["r", 4, "54"]], "target_var_name": "k", "target_value": 54, "value_dict": {"r": 4}, "is_reverse": true}} | 17,568 | 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 = t + 13; o = z + 1; a = r + 20; s = c + 7; r = 4; j = m + 16; z = j + 8; h = p + 4; y = a + 9; t = h + 15; c = r + 4; p = s + 7; m = y + 16. If r = 4, what is the resulting 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 t = h + 15 to k, which gives k = h + 28.\n2. Substitute h = p + 4 to k, which gives k = p + 32.\n3. Substitute p = s + 7 to k, which gives k = s + 39.\n4. Substitute s = c + 7 to k, which gives k = c + 46.\n5. Substitute c = r + 4 to k, which gives k = r + 50.\n6. Substitute r = 4 to k, which gives k = 54.\n\nThus, the final answer is k = \\boxed{54}.",
"index": 17568,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = t + 13; o = z + 1; a = r + 20; s = c + 7; r = 4; j = m + 16; z = j + 8; h = p + 4; y = a + 9; t = h + 15; c = r + 4; p = s + 7; m = y + 16. If r = 4, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"u": "m + 11", "j": "u + 19", "h": "j + 3", "n": "h + 13", "a": "n + 4", "s": "a + 10", "v": "m + 14", "x": "v + 4", "f": "x + 6", "o": "f + 4", "d": "o + 16", "q": "d + 20", "m": 10}, "premises": {"m": 10}, "target": "s"}, "answer": {"steps": [["a", "n + 4", "n + 14"], ["n", "h + 13", "h + 27"], ["h", "j + 3", "j + 30"], ["j", "u + 19", "u + 49"], ["u", "m + 11", "m + 60"], ["m", 10, "70"]], "target_var_name": "s", "target_value": 70, "value_dict": {"m": 10}, "is_reverse": true}} | 17,569 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = d + 20; a = n + 4; x = v + 4; s = a + 10; o = f + 4; h = j + 3; m = 10; f = x + 6; j = u + 19; v = m + 14; u = m + 11; n = h + 13; d = o + 16. Given that m = 10, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = n + 4 to s, which gives s = n + 14.\n2. Substitute n = h + 13 to s, which gives s = h + 27.\n3. Substitute h = j + 3 to s, which gives s = j + 30.\n4. Substitute j = u + 19 to s, which gives s = u + 49.\n5. Substitute u = m + 11 to s, which gives s = m + 60.\n6. Substitute m = 10 to s, which gives s = 70.\n\nThus, the final answer is s = \\boxed{70}.",
"index": 17569,
"question": "Suppose a collection of variables is related by the following definitions: q = d + 20; a = n + 4; x = v + 4; s = a + 10; o = f + 4; h = j + 3; m = 10; f = x + 6; j = u + 19; v = m + 14; u = m + 11; n = h + 13; d = o + 16. Given that m = 10, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"b": "h + 13", "k": "b + 13", "c": "k + 17", "z": "c + 17", "w": "z + 20", "t": "w + 1", "g": "h + 11", "l": "g + 10", "i": "l + 16", "v": "i + 13", "m": "v + 11", "n": "m + 16", "h": 18}, "premises": {"h": 18}, "target": "t"}, "answer": {"steps": [["w", "z + 20", "z + 21"], ["z", "c + 17", "c + 38"], ["c", "k + 17", "k + 55"], ["k", "b + 13", "b + 68"], ["b", "h + 13", "h + 81"], ["h", 18, "99"]], "target_var_name": "t", "target_value": 99, "value_dict": {"h": 18}, "is_reverse": true}} | 17,570 | 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 = w + 1; m = v + 11; w = z + 20; k = b + 13; c = k + 17; i = l + 16; l = g + 10; b = h + 13; n = m + 16; h = 18; z = c + 17; g = h + 11; v = i + 13. If h = 18, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = z + 20 to t, which gives t = z + 21.\n2. Substitute z = c + 17 to t, which gives t = c + 38.\n3. Substitute c = k + 17 to t, which gives t = k + 55.\n4. Substitute k = b + 13 to t, which gives t = b + 68.\n5. Substitute b = h + 13 to t, which gives t = h + 81.\n6. Substitute h = 18 to t, which gives t = 99.\n\nThus, the final answer is t = \\boxed{99}.",
"index": 17570,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = w + 1; m = v + 11; w = z + 20; k = b + 13; c = k + 17; i = l + 16; l = g + 10; b = h + 13; n = m + 16; h = 18; z = c + 17; g = h + 11; v = i + 13. If h = 18, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"c": "r + 10", "b": "c + 4", "x": "b + 6", "v": "x + 18", "l": "v + 7", "d": "l + 8", "k": "r + 19", "f": "k + 17", "t": "f + 3", "u": "t + 13", "g": "u + 5", "n": "g + 11", "r": 19}, "premises": {"r": 19}, "target": "d"}, "answer": {"steps": [["l", "v + 7", "v + 15"], ["v", "x + 18", "x + 33"], ["x", "b + 6", "b + 39"], ["b", "c + 4", "c + 43"], ["c", "r + 10", "r + 53"], ["r", 19, "72"]], "target_var_name": "d", "target_value": 72, "value_dict": {"r": 19}, "is_reverse": true}} | 17,571 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = k + 17; b = c + 4; n = g + 11; u = t + 13; l = v + 7; d = l + 8; v = x + 18; x = b + 6; r = 19; c = r + 10; g = u + 5; k = r + 19; t = f + 3. If r = 19, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = v + 7 to d, which gives d = v + 15.\n2. Substitute v = x + 18 to d, which gives d = x + 33.\n3. Substitute x = b + 6 to d, which gives d = b + 39.\n4. Substitute b = c + 4 to d, which gives d = c + 43.\n5. Substitute c = r + 10 to d, which gives d = r + 53.\n6. Substitute r = 19 to d, which gives d = 72.\n\nThus, the final answer is d = \\boxed{72}.",
"index": 17571,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = k + 17; b = c + 4; n = g + 11; u = t + 13; l = v + 7; d = l + 8; v = x + 18; x = b + 6; r = 19; c = r + 10; g = u + 5; k = r + 19; t = f + 3. If r = 19, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"n": "k + 1", "z": "n + 19", "a": "z + 17", "l": "a + 14", "q": "l + 4", "x": "q + 14", "s": "k + 14", "h": "s + 6", "f": "h + 12", "b": "f + 4", "o": "b + 17", "y": "o + 9", "k": 7}, "premises": {"k": 7}, "target": "x"}, "answer": {"steps": [["q", "l + 4", "l + 18"], ["l", "a + 14", "a + 32"], ["a", "z + 17", "z + 49"], ["z", "n + 19", "n + 68"], ["n", "k + 1", "k + 69"], ["k", 7, "76"]], "target_var_name": "x", "target_value": 76, "value_dict": {"k": 7}, "is_reverse": true}} | 17,572 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = z + 17; l = a + 14; n = k + 1; b = f + 4; z = n + 19; f = h + 12; k = 7; h = s + 6; s = k + 14; o = b + 17; x = q + 14; q = l + 4; y = o + 9. If k = 7, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = l + 4 to x, which gives x = l + 18.\n2. Substitute l = a + 14 to x, which gives x = a + 32.\n3. Substitute a = z + 17 to x, which gives x = z + 49.\n4. Substitute z = n + 19 to x, which gives x = n + 68.\n5. Substitute n = k + 1 to x, which gives x = k + 69.\n6. Substitute k = 7 to x, which gives x = 76.\n\nThus, the final answer is x = \\boxed{76}.",
"index": 17572,
"question": "Consider a system of variables where each variable is defined as follows: a = z + 17; l = a + 14; n = k + 1; b = f + 4; z = n + 19; f = h + 12; k = 7; h = s + 6; s = k + 14; o = b + 17; x = q + 14; q = l + 4; y = o + 9. If k = 7, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"o": "b + 5", "x": "o + 12", "z": "x + 14", "f": "z + 8", "a": "f + 15", "h": "a + 17", "m": "b + 13", "d": "m + 1", "l": "d + 13", "k": "l + 5", "q": "k + 2", "p": "q + 16", "b": 14}, "premises": {"b": 14}, "target": "h"}, "answer": {"steps": [["a", "f + 15", "f + 32"], ["f", "z + 8", "z + 40"], ["z", "x + 14", "x + 54"], ["x", "o + 12", "o + 66"], ["o", "b + 5", "b + 71"], ["b", 14, "85"]], "target_var_name": "h", "target_value": 85, "value_dict": {"b": 14}, "is_reverse": true}} | 17,573 | 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 = l + 5; a = f + 15; p = q + 16; f = z + 8; b = 14; o = b + 5; m = b + 13; l = d + 13; z = x + 14; h = a + 17; d = m + 1; q = k + 2; x = o + 12. If b = 14, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = f + 15 to h, which gives h = f + 32.\n2. Substitute f = z + 8 to h, which gives h = z + 40.\n3. Substitute z = x + 14 to h, which gives h = x + 54.\n4. Substitute x = o + 12 to h, which gives h = o + 66.\n5. Substitute o = b + 5 to h, which gives h = b + 71.\n6. Substitute b = 14 to h, which gives h = 85.\n\nThus, the final answer is h = \\boxed{85}.",
"index": 17573,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = l + 5; a = f + 15; p = q + 16; f = z + 8; b = 14; o = b + 5; m = b + 13; l = d + 13; z = x + 14; h = a + 17; d = m + 1; q = k + 2; x = o + 12. If b = 14, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"s": "f + 20", "t": "s + 3", "p": "t + 20", "x": "p + 16", "i": "x + 1", "r": "i + 12", "j": "f + 13", "e": "j + 3", "a": "e + 9", "u": "a + 19", "v": "u + 9", "d": "v + 8", "f": 20}, "premises": {"f": 20}, "target": "r"}, "answer": {"steps": [["i", "x + 1", "x + 13"], ["x", "p + 16", "p + 29"], ["p", "t + 20", "t + 49"], ["t", "s + 3", "s + 52"], ["s", "f + 20", "f + 72"], ["f", 20, "92"]], "target_var_name": "r", "target_value": 92, "value_dict": {"f": 20}, "is_reverse": true}} | 17,574 | 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 = u + 9; f = 20; a = e + 9; e = j + 3; p = t + 20; j = f + 13; t = s + 3; d = v + 8; x = p + 16; u = a + 19; i = x + 1; r = i + 12; s = f + 20. If f = 20, what is the resulting 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 i = x + 1 to r, which gives r = x + 13.\n2. Substitute x = p + 16 to r, which gives r = p + 29.\n3. Substitute p = t + 20 to r, which gives r = t + 49.\n4. Substitute t = s + 3 to r, which gives r = s + 52.\n5. Substitute s = f + 20 to r, which gives r = f + 72.\n6. Substitute f = 20 to r, which gives r = 92.\n\nThus, the final answer is r = \\boxed{92}.",
"index": 17574,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = u + 9; f = 20; a = e + 9; e = j + 3; p = t + 20; j = f + 13; t = s + 3; d = v + 8; x = p + 16; u = a + 19; i = x + 1; r = i + 12; s = f + 20. If f = 20, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"e": "z + 20", "w": "e + 15", "p": "w + 18", "i": "p + 15", "u": "i + 10", "d": "u + 1", "y": "z + 19", "o": "y + 1", "b": "o + 13", "g": "b + 7", "k": "g + 11", "r": "k + 18", "z": 10}, "premises": {"z": 10}, "target": "d"}, "answer": {"steps": [["u", "i + 10", "i + 11"], ["i", "p + 15", "p + 26"], ["p", "w + 18", "w + 44"], ["w", "e + 15", "e + 59"], ["e", "z + 20", "z + 79"], ["z", 10, "89"]], "target_var_name": "d", "target_value": 89, "value_dict": {"z": 10}, "is_reverse": true}} | 17,575 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = z + 20; z = 10; r = k + 18; p = w + 18; y = z + 19; i = p + 15; u = i + 10; k = g + 11; b = o + 13; d = u + 1; o = y + 1; w = e + 15; g = b + 7. If z = 10, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = i + 10 to d, which gives d = i + 11.\n2. Substitute i = p + 15 to d, which gives d = p + 26.\n3. Substitute p = w + 18 to d, which gives d = w + 44.\n4. Substitute w = e + 15 to d, which gives d = e + 59.\n5. Substitute e = z + 20 to d, which gives d = z + 79.\n6. Substitute z = 10 to d, which gives d = 89.\n\nThus, the final answer is d = \\boxed{89}.",
"index": 17575,
"question": "Consider a system of variables where each variable is defined as follows: e = z + 20; z = 10; r = k + 18; p = w + 18; y = z + 19; i = p + 15; u = i + 10; k = g + 11; b = o + 13; d = u + 1; o = y + 1; w = e + 15; g = b + 7. If z = 10, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"l": "u + 3", "e": "l + 20", "g": "e + 2", "b": "g + 11", "k": "b + 3", "p": "k + 4", "m": "u + 5", "c": "m + 20", "n": "c + 18", "s": "n + 4", "t": "s + 15", "h": "t + 13", "u": 1}, "premises": {"u": 1}, "target": "p"}, "answer": {"steps": [["k", "b + 3", "b + 7"], ["b", "g + 11", "g + 18"], ["g", "e + 2", "e + 20"], ["e", "l + 20", "l + 40"], ["l", "u + 3", "u + 43"], ["u", 1, "44"]], "target_var_name": "p", "target_value": 44, "value_dict": {"u": 1}, "is_reverse": true}} | 17,576 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = g + 11; p = k + 4; n = c + 18; k = b + 3; g = e + 2; t = s + 15; l = u + 3; u = 1; h = t + 13; c = m + 20; m = u + 5; e = l + 20; s = n + 4. If u = 1, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 44,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = b + 3 to p, which gives p = b + 7.\n2. Substitute b = g + 11 to p, which gives p = g + 18.\n3. Substitute g = e + 2 to p, which gives p = e + 20.\n4. Substitute e = l + 20 to p, which gives p = l + 40.\n5. Substitute l = u + 3 to p, which gives p = u + 43.\n6. Substitute u = 1 to p, which gives p = 44.\n\nThus, the final answer is p = \\boxed{44}.",
"index": 17576,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = g + 11; p = k + 4; n = c + 18; k = b + 3; g = e + 2; t = s + 15; l = u + 3; u = 1; h = t + 13; c = m + 20; m = u + 5; e = l + 20; s = n + 4. If u = 1, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"l": "q + 14", "i": "l + 10", "e": "i + 2", "c": "e + 14", "b": "c + 16", "w": "b + 19", "o": "q + 17", "v": "o + 11", "k": "v + 9", "h": "k + 7", "x": "h + 6", "s": "x + 13", "q": 8}, "premises": {"q": 8}, "target": "w"}, "answer": {"steps": [["b", "c + 16", "c + 35"], ["c", "e + 14", "e + 49"], ["e", "i + 2", "i + 51"], ["i", "l + 10", "l + 61"], ["l", "q + 14", "q + 75"], ["q", 8, "83"]], "target_var_name": "w", "target_value": 83, "value_dict": {"q": 8}, "is_reverse": true}} | 17,577 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = h + 6; v = o + 11; b = c + 16; l = q + 14; s = x + 13; c = e + 14; i = l + 10; k = v + 9; o = q + 17; h = k + 7; w = b + 19; e = i + 2; q = 8. Given that q = 8, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = c + 16 to w, which gives w = c + 35.\n2. Substitute c = e + 14 to w, which gives w = e + 49.\n3. Substitute e = i + 2 to w, which gives w = i + 51.\n4. Substitute i = l + 10 to w, which gives w = l + 61.\n5. Substitute l = q + 14 to w, which gives w = q + 75.\n6. Substitute q = 8 to w, which gives w = 83.\n\nThus, the final answer is w = \\boxed{83}.",
"index": 17577,
"question": "Suppose a collection of variables is related by the following definitions: x = h + 6; v = o + 11; b = c + 16; l = q + 14; s = x + 13; c = e + 14; i = l + 10; k = v + 9; o = q + 17; h = k + 7; w = b + 19; e = i + 2; q = 8. Given that q = 8, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"c": "k + 16", "g": "c + 18", "p": "g + 8", "i": "p + 11", "r": "i + 10", "z": "r + 8", "v": "k + 4", "q": "v + 4", "f": "q + 18", "j": "f + 8", "o": "j + 10", "l": "o + 17", "k": 4}, "premises": {"k": 4}, "target": "z"}, "answer": {"steps": [["r", "i + 10", "i + 18"], ["i", "p + 11", "p + 29"], ["p", "g + 8", "g + 37"], ["g", "c + 18", "c + 55"], ["c", "k + 16", "k + 71"], ["k", 4, "75"]], "target_var_name": "z", "target_value": 75, "value_dict": {"k": 4}, "is_reverse": true}} | 17,578 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = k + 4; f = q + 18; p = g + 8; q = v + 4; k = 4; c = k + 16; r = i + 10; j = f + 8; l = o + 17; z = r + 8; g = c + 18; o = j + 10; i = p + 11. Given that k = 4, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = i + 10 to z, which gives z = i + 18.\n2. Substitute i = p + 11 to z, which gives z = p + 29.\n3. Substitute p = g + 8 to z, which gives z = g + 37.\n4. Substitute g = c + 18 to z, which gives z = c + 55.\n5. Substitute c = k + 16 to z, which gives z = k + 71.\n6. Substitute k = 4 to z, which gives z = 75.\n\nThus, the final answer is z = \\boxed{75}.",
"index": 17578,
"question": "Suppose a collection of variables is related by the following definitions: v = k + 4; f = q + 18; p = g + 8; q = v + 4; k = 4; c = k + 16; r = i + 10; j = f + 8; l = o + 17; z = r + 8; g = c + 18; o = j + 10; i = p + 11. Given that k = 4, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"h": "u + 11", "d": "h + 6", "s": "d + 14", "c": "s + 1", "r": "c + 5", "q": "r + 8", "i": "u + 10", "m": "i + 15", "z": "m + 11", "t": "z + 16", "o": "t + 16", "w": "o + 1", "u": 1}, "premises": {"u": 1}, "target": "q"}, "answer": {"steps": [["r", "c + 5", "c + 13"], ["c", "s + 1", "s + 14"], ["s", "d + 14", "d + 28"], ["d", "h + 6", "h + 34"], ["h", "u + 11", "u + 45"], ["u", 1, "46"]], "target_var_name": "q", "target_value": 46, "value_dict": {"u": 1}, "is_reverse": true}} | 17,579 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = r + 8; u = 1; t = z + 16; c = s + 1; z = m + 11; w = o + 1; d = h + 6; i = u + 10; r = c + 5; o = t + 16; h = u + 11; s = d + 14; m = i + 15. Given that u = 1, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = c + 5 to q, which gives q = c + 13.\n2. Substitute c = s + 1 to q, which gives q = s + 14.\n3. Substitute s = d + 14 to q, which gives q = d + 28.\n4. Substitute d = h + 6 to q, which gives q = h + 34.\n5. Substitute h = u + 11 to q, which gives q = u + 45.\n6. Substitute u = 1 to q, which gives q = 46.\n\nThus, the final answer is q = \\boxed{46}.",
"index": 17579,
"question": "Suppose a collection of variables is related by the following definitions: q = r + 8; u = 1; t = z + 16; c = s + 1; z = m + 11; w = o + 1; d = h + 6; i = u + 10; r = c + 5; o = t + 16; h = u + 11; s = d + 14; m = i + 15. Given that u = 1, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"z": "g + 18", "c": "z + 13", "q": "c + 18", "a": "q + 20", "j": "a + 16", "w": "j + 2", "k": "g + 6", "f": "k + 18", "o": "f + 5", "l": "o + 1", "e": "l + 4", "t": "e + 2", "g": 12}, "premises": {"g": 12}, "target": "w"}, "answer": {"steps": [["j", "a + 16", "a + 18"], ["a", "q + 20", "q + 38"], ["q", "c + 18", "c + 56"], ["c", "z + 13", "z + 69"], ["z", "g + 18", "g + 87"], ["g", 12, "99"]], "target_var_name": "w", "target_value": 99, "value_dict": {"g": 12}, "is_reverse": true}} | 17,580 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = k + 18; e = l + 4; o = f + 5; c = z + 13; g = 12; q = c + 18; l = o + 1; w = j + 2; k = g + 6; j = a + 16; t = e + 2; a = q + 20; z = g + 18. Given that g = 12, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = a + 16 to w, which gives w = a + 18.\n2. Substitute a = q + 20 to w, which gives w = q + 38.\n3. Substitute q = c + 18 to w, which gives w = c + 56.\n4. Substitute c = z + 13 to w, which gives w = z + 69.\n5. Substitute z = g + 18 to w, which gives w = g + 87.\n6. Substitute g = 12 to w, which gives w = 99.\n\nThus, the final answer is w = \\boxed{99}.",
"index": 17580,
"question": "Suppose a collection of variables is related by the following definitions: f = k + 18; e = l + 4; o = f + 5; c = z + 13; g = 12; q = c + 18; l = o + 1; w = j + 2; k = g + 6; j = a + 16; t = e + 2; a = q + 20; z = g + 18. Given that g = 12, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"b": "t + 16", "i": "b + 10", "f": "i + 10", "r": "f + 6", "e": "r + 11", "v": "e + 7", "p": "t + 8", "m": "p + 13", "s": "m + 16", "o": "s + 18", "u": "o + 3", "z": "u + 16", "t": 8}, "premises": {"t": 8}, "target": "v"}, "answer": {"steps": [["e", "r + 11", "r + 18"], ["r", "f + 6", "f + 24"], ["f", "i + 10", "i + 34"], ["i", "b + 10", "b + 44"], ["b", "t + 16", "t + 60"], ["t", 8, "68"]], "target_var_name": "v", "target_value": 68, "value_dict": {"t": 8}, "is_reverse": true}} | 17,581 | 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 = u + 16; f = i + 10; e = r + 11; r = f + 6; s = m + 16; o = s + 18; v = e + 7; b = t + 16; i = b + 10; t = 8; u = o + 3; m = p + 13; p = t + 8. If t = 8, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = r + 11 to v, which gives v = r + 18.\n2. Substitute r = f + 6 to v, which gives v = f + 24.\n3. Substitute f = i + 10 to v, which gives v = i + 34.\n4. Substitute i = b + 10 to v, which gives v = b + 44.\n5. Substitute b = t + 16 to v, which gives v = t + 60.\n6. Substitute t = 8 to v, which gives v = 68.\n\nThus, the final answer is v = \\boxed{68}.",
"index": 17581,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = u + 16; f = i + 10; e = r + 11; r = f + 6; s = m + 16; o = s + 18; v = e + 7; b = t + 16; i = b + 10; t = 8; u = o + 3; m = p + 13; p = t + 8. If t = 8, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"u": "g + 3", "x": "u + 9", "y": "x + 7", "r": "y + 15", "t": "r + 4", "n": "t + 1", "h": "g + 18", "j": "h + 8", "q": "j + 7", "k": "q + 10", "i": "k + 16", "a": "i + 18", "g": 8}, "premises": {"g": 8}, "target": "n"}, "answer": {"steps": [["t", "r + 4", "r + 5"], ["r", "y + 15", "y + 20"], ["y", "x + 7", "x + 27"], ["x", "u + 9", "u + 36"], ["u", "g + 3", "g + 39"], ["g", 8, "47"]], "target_var_name": "n", "target_value": 47, "value_dict": {"g": 8}, "is_reverse": true}} | 17,582 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = i + 18; y = x + 7; j = h + 8; u = g + 3; n = t + 1; x = u + 9; g = 8; q = j + 7; t = r + 4; k = q + 10; h = g + 18; r = y + 15; i = k + 16. Given that g = 8, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = r + 4 to n, which gives n = r + 5.\n2. Substitute r = y + 15 to n, which gives n = y + 20.\n3. Substitute y = x + 7 to n, which gives n = x + 27.\n4. Substitute x = u + 9 to n, which gives n = u + 36.\n5. Substitute u = g + 3 to n, which gives n = g + 39.\n6. Substitute g = 8 to n, which gives n = 47.\n\nThus, the final answer is n = \\boxed{47}.",
"index": 17582,
"question": "Suppose a collection of variables is related by the following definitions: a = i + 18; y = x + 7; j = h + 8; u = g + 3; n = t + 1; x = u + 9; g = 8; q = j + 7; t = r + 4; k = q + 10; h = g + 18; r = y + 15; i = k + 16. Given that g = 8, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"v": "c + 10", "f": "v + 17", "j": "f + 10", "r": "j + 16", "h": "r + 11", "u": "h + 2", "l": "c + 20", "n": "l + 8", "y": "n + 16", "d": "y + 16", "m": "d + 18", "b": "m + 18", "c": 13}, "premises": {"c": 13}, "target": "u"}, "answer": {"steps": [["h", "r + 11", "r + 13"], ["r", "j + 16", "j + 29"], ["j", "f + 10", "f + 39"], ["f", "v + 17", "v + 56"], ["v", "c + 10", "c + 66"], ["c", 13, "79"]], "target_var_name": "u", "target_value": 79, "value_dict": {"c": 13}, "is_reverse": true}} | 17,583 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = d + 18; v = c + 10; j = f + 10; n = l + 8; d = y + 16; l = c + 20; f = v + 17; h = r + 11; r = j + 16; y = n + 16; c = 13; u = h + 2; b = m + 18. If c = 13, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = r + 11 to u, which gives u = r + 13.\n2. Substitute r = j + 16 to u, which gives u = j + 29.\n3. Substitute j = f + 10 to u, which gives u = f + 39.\n4. Substitute f = v + 17 to u, which gives u = v + 56.\n5. Substitute v = c + 10 to u, which gives u = c + 66.\n6. Substitute c = 13 to u, which gives u = 79.\n\nThus, the final answer is u = \\boxed{79}.",
"index": 17583,
"question": "Consider a system of variables where each variable is defined as follows: m = d + 18; v = c + 10; j = f + 10; n = l + 8; d = y + 16; l = c + 20; f = v + 17; h = r + 11; r = j + 16; y = n + 16; c = 13; u = h + 2; b = m + 18. If c = 13, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"e": "c + 4", "x": "e + 18", "m": "x + 11", "a": "m + 2", "u": "a + 17", "f": "u + 16", "t": "c + 1", "g": "t + 20", "r": "g + 17", "h": "r + 4", "i": "h + 15", "b": "i + 5", "c": 7}, "premises": {"c": 7}, "target": "f"}, "answer": {"steps": [["u", "a + 17", "a + 33"], ["a", "m + 2", "m + 35"], ["m", "x + 11", "x + 46"], ["x", "e + 18", "e + 64"], ["e", "c + 4", "c + 68"], ["c", 7, "75"]], "target_var_name": "f", "target_value": 75, "value_dict": {"c": 7}, "is_reverse": true}} | 17,584 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = 7; f = u + 16; m = x + 11; a = m + 2; h = r + 4; e = c + 4; i = h + 15; t = c + 1; r = g + 17; x = e + 18; u = a + 17; b = i + 5; g = t + 20. If c = 7, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = a + 17 to f, which gives f = a + 33.\n2. Substitute a = m + 2 to f, which gives f = m + 35.\n3. Substitute m = x + 11 to f, which gives f = x + 46.\n4. Substitute x = e + 18 to f, which gives f = e + 64.\n5. Substitute e = c + 4 to f, which gives f = c + 68.\n6. Substitute c = 7 to f, which gives f = 75.\n\nThus, the final answer is f = \\boxed{75}.",
"index": 17584,
"question": "Consider a system of variables where each variable is defined as follows: c = 7; f = u + 16; m = x + 11; a = m + 2; h = r + 4; e = c + 4; i = h + 15; t = c + 1; r = g + 17; x = e + 18; u = a + 17; b = i + 5; g = t + 20. If c = 7, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"z": "v + 1", "y": "z + 8", "f": "y + 3", "o": "f + 9", "j": "o + 11", "p": "j + 2", "r": "v + 5", "h": "r + 5", "w": "h + 13", "i": "w + 11", "c": "i + 4", "g": "c + 10", "v": 17}, "premises": {"v": 17}, "target": "p"}, "answer": {"steps": [["j", "o + 11", "o + 13"], ["o", "f + 9", "f + 22"], ["f", "y + 3", "y + 25"], ["y", "z + 8", "z + 33"], ["z", "v + 1", "v + 34"], ["v", 17, "51"]], "target_var_name": "p", "target_value": 51, "value_dict": {"v": 17}, "is_reverse": true}} | 17,585 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = y + 3; y = z + 8; w = h + 13; o = f + 9; g = c + 10; r = v + 5; i = w + 11; v = 17; c = i + 4; j = o + 11; h = r + 5; p = j + 2; z = v + 1. If v = 17, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = o + 11 to p, which gives p = o + 13.\n2. Substitute o = f + 9 to p, which gives p = f + 22.\n3. Substitute f = y + 3 to p, which gives p = y + 25.\n4. Substitute y = z + 8 to p, which gives p = z + 33.\n5. Substitute z = v + 1 to p, which gives p = v + 34.\n6. Substitute v = 17 to p, which gives p = 51.\n\nThus, the final answer is p = \\boxed{51}.",
"index": 17585,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = y + 3; y = z + 8; w = h + 13; o = f + 9; g = c + 10; r = v + 5; i = w + 11; v = 17; c = i + 4; j = o + 11; h = r + 5; p = j + 2; z = v + 1. If v = 17, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"f": "a + 18", "z": "f + 3", "l": "z + 11", "y": "l + 15", "v": "y + 9", "j": "v + 7", "m": "a + 9", "w": "m + 14", "g": "w + 13", "n": "g + 17", "p": "n + 7", "t": "p + 12", "a": 20}, "premises": {"a": 20}, "target": "j"}, "answer": {"steps": [["v", "y + 9", "y + 16"], ["y", "l + 15", "l + 31"], ["l", "z + 11", "z + 42"], ["z", "f + 3", "f + 45"], ["f", "a + 18", "a + 63"], ["a", 20, "83"]], "target_var_name": "j", "target_value": 83, "value_dict": {"a": 20}, "is_reverse": true}} | 17,586 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = v + 7; l = z + 11; z = f + 3; a = 20; v = y + 9; g = w + 13; p = n + 7; f = a + 18; w = m + 14; m = a + 9; y = l + 15; t = p + 12; n = g + 17. If a = 20, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = y + 9 to j, which gives j = y + 16.\n2. Substitute y = l + 15 to j, which gives j = l + 31.\n3. Substitute l = z + 11 to j, which gives j = z + 42.\n4. Substitute z = f + 3 to j, which gives j = f + 45.\n5. Substitute f = a + 18 to j, which gives j = a + 63.\n6. Substitute a = 20 to j, which gives j = 83.\n\nThus, the final answer is j = \\boxed{83}.",
"index": 17586,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = v + 7; l = z + 11; z = f + 3; a = 20; v = y + 9; g = w + 13; p = n + 7; f = a + 18; w = m + 14; m = a + 9; y = l + 15; t = p + 12; n = g + 17. If a = 20, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"c": "y + 11", "i": "c + 16", "h": "i + 17", "b": "h + 11", "r": "b + 6", "w": "r + 5", "e": "y + 18", "x": "e + 14", "s": "x + 19", "a": "s + 3", "m": "a + 19", "q": "m + 1", "y": 9}, "premises": {"y": 9}, "target": "w"}, "answer": {"steps": [["r", "b + 6", "b + 11"], ["b", "h + 11", "h + 22"], ["h", "i + 17", "i + 39"], ["i", "c + 16", "c + 55"], ["c", "y + 11", "y + 66"], ["y", 9, "75"]], "target_var_name": "w", "target_value": 75, "value_dict": {"y": 9}, "is_reverse": true}} | 17,587 | 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 = m + 1; x = e + 14; b = h + 11; m = a + 19; r = b + 6; e = y + 18; i = c + 16; a = s + 3; c = y + 11; h = i + 17; w = r + 5; s = x + 19; y = 9. If y = 9, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = b + 6 to w, which gives w = b + 11.\n2. Substitute b = h + 11 to w, which gives w = h + 22.\n3. Substitute h = i + 17 to w, which gives w = i + 39.\n4. Substitute i = c + 16 to w, which gives w = c + 55.\n5. Substitute c = y + 11 to w, which gives w = y + 66.\n6. Substitute y = 9 to w, which gives w = 75.\n\nThus, the final answer is w = \\boxed{75}.",
"index": 17587,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = m + 1; x = e + 14; b = h + 11; m = a + 19; r = b + 6; e = y + 18; i = c + 16; a = s + 3; c = y + 11; h = i + 17; w = r + 5; s = x + 19; y = 9. If y = 9, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"i": "g + 10", "q": "i + 14", "c": "q + 17", "h": "c + 13", "n": "h + 5", "s": "n + 1", "y": "g + 9", "t": "y + 4", "x": "t + 15", "f": "x + 18", "z": "f + 7", "w": "z + 20", "g": 11}, "premises": {"g": 11}, "target": "s"}, "answer": {"steps": [["n", "h + 5", "h + 6"], ["h", "c + 13", "c + 19"], ["c", "q + 17", "q + 36"], ["q", "i + 14", "i + 50"], ["i", "g + 10", "g + 60"], ["g", 11, "71"]], "target_var_name": "s", "target_value": 71, "value_dict": {"g": 11}, "is_reverse": true}} | 17,588 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = f + 7; q = i + 14; c = q + 17; n = h + 5; w = z + 20; x = t + 15; f = x + 18; y = g + 9; s = n + 1; t = y + 4; h = c + 13; g = 11; i = g + 10. Given that g = 11, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = h + 5 to s, which gives s = h + 6.\n2. Substitute h = c + 13 to s, which gives s = c + 19.\n3. Substitute c = q + 17 to s, which gives s = q + 36.\n4. Substitute q = i + 14 to s, which gives s = i + 50.\n5. Substitute i = g + 10 to s, which gives s = g + 60.\n6. Substitute g = 11 to s, which gives s = 71.\n\nThus, the final answer is s = \\boxed{71}.",
"index": 17588,
"question": "Suppose a collection of variables is related by the following definitions: z = f + 7; q = i + 14; c = q + 17; n = h + 5; w = z + 20; x = t + 15; f = x + 18; y = g + 9; s = n + 1; t = y + 4; h = c + 13; g = 11; i = g + 10. Given that g = 11, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"d": "i + 17", "w": "d + 19", "v": "w + 18", "p": "v + 7", "k": "p + 10", "o": "k + 6", "g": "i + 2", "n": "g + 2", "q": "n + 6", "x": "q + 19", "b": "x + 19", "a": "b + 6", "i": 2}, "premises": {"i": 2}, "target": "o"}, "answer": {"steps": [["k", "p + 10", "p + 16"], ["p", "v + 7", "v + 23"], ["v", "w + 18", "w + 41"], ["w", "d + 19", "d + 60"], ["d", "i + 17", "i + 77"], ["i", 2, "79"]], "target_var_name": "o", "target_value": 79, "value_dict": {"i": 2}, "is_reverse": true}} | 17,589 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = v + 7; x = q + 19; b = x + 19; a = b + 6; i = 2; d = i + 17; q = n + 6; o = k + 6; n = g + 2; w = d + 19; k = p + 10; v = w + 18; g = i + 2. If i = 2, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = p + 10 to o, which gives o = p + 16.\n2. Substitute p = v + 7 to o, which gives o = v + 23.\n3. Substitute v = w + 18 to o, which gives o = w + 41.\n4. Substitute w = d + 19 to o, which gives o = d + 60.\n5. Substitute d = i + 17 to o, which gives o = i + 77.\n6. Substitute i = 2 to o, which gives o = 79.\n\nThus, the final answer is o = \\boxed{79}.",
"index": 17589,
"question": "Consider a system of variables where each variable is defined as follows: p = v + 7; x = q + 19; b = x + 19; a = b + 6; i = 2; d = i + 17; q = n + 6; o = k + 6; n = g + 2; w = d + 19; k = p + 10; v = w + 18; g = i + 2. If i = 2, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"p": "w + 13", "m": "p + 7", "u": "m + 3", "t": "u + 4", "o": "t + 17", "b": "o + 11", "f": "w + 7", "a": "f + 14", "i": "a + 14", "y": "i + 6", "l": "y + 10", "v": "l + 2", "w": 9}, "premises": {"w": 9}, "target": "b"}, "answer": {"steps": [["o", "t + 17", "t + 28"], ["t", "u + 4", "u + 32"], ["u", "m + 3", "m + 35"], ["m", "p + 7", "p + 42"], ["p", "w + 13", "w + 55"], ["w", 9, "64"]], "target_var_name": "b", "target_value": 64, "value_dict": {"w": 9}, "is_reverse": true}} | 17,590 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = i + 6; i = a + 14; v = l + 2; o = t + 17; f = w + 7; m = p + 7; b = o + 11; l = y + 10; t = u + 4; a = f + 14; w = 9; u = m + 3; p = w + 13. If w = 9, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = t + 17 to b, which gives b = t + 28.\n2. Substitute t = u + 4 to b, which gives b = u + 32.\n3. Substitute u = m + 3 to b, which gives b = m + 35.\n4. Substitute m = p + 7 to b, which gives b = p + 42.\n5. Substitute p = w + 13 to b, which gives b = w + 55.\n6. Substitute w = 9 to b, which gives b = 64.\n\nThus, the final answer is b = \\boxed{64}.",
"index": 17590,
"question": "Consider a system of variables where each variable is defined as follows: y = i + 6; i = a + 14; v = l + 2; o = t + 17; f = w + 7; m = p + 7; b = o + 11; l = y + 10; t = u + 4; a = f + 14; w = 9; u = m + 3; p = w + 13. If w = 9, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"b": "j + 11", "w": "b + 1", "g": "w + 16", "h": "g + 12", "u": "h + 7", "k": "u + 1", "r": "j + 1", "z": "r + 12", "s": "z + 5", "e": "s + 15", "p": "e + 10", "v": "p + 7", "j": 10}, "premises": {"j": 10}, "target": "k"}, "answer": {"steps": [["u", "h + 7", "h + 8"], ["h", "g + 12", "g + 20"], ["g", "w + 16", "w + 36"], ["w", "b + 1", "b + 37"], ["b", "j + 11", "j + 48"], ["j", 10, "58"]], "target_var_name": "k", "target_value": 58, "value_dict": {"j": 10}, "is_reverse": true}} | 17,591 | 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 = u + 1; w = b + 1; e = s + 15; p = e + 10; z = r + 12; s = z + 5; g = w + 16; j = 10; u = h + 7; b = j + 11; r = j + 1; h = g + 12; v = p + 7. If j = 10, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = h + 7 to k, which gives k = h + 8.\n2. Substitute h = g + 12 to k, which gives k = g + 20.\n3. Substitute g = w + 16 to k, which gives k = w + 36.\n4. Substitute w = b + 1 to k, which gives k = b + 37.\n5. Substitute b = j + 11 to k, which gives k = j + 48.\n6. Substitute j = 10 to k, which gives k = 58.\n\nThus, the final answer is k = \\boxed{58}.",
"index": 17591,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = u + 1; w = b + 1; e = s + 15; p = e + 10; z = r + 12; s = z + 5; g = w + 16; j = 10; u = h + 7; b = j + 11; r = j + 1; h = g + 12; v = p + 7. If j = 10, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"s": "t + 5", "p": "s + 2", "i": "p + 15", "x": "i + 18", "g": "x + 17", "m": "g + 14", "w": "t + 3", "b": "w + 15", "d": "b + 10", "h": "d + 6", "f": "h + 3", "k": "f + 4", "t": 9}, "premises": {"t": 9}, "target": "m"}, "answer": {"steps": [["g", "x + 17", "x + 31"], ["x", "i + 18", "i + 49"], ["i", "p + 15", "p + 64"], ["p", "s + 2", "s + 66"], ["s", "t + 5", "t + 71"], ["t", 9, "80"]], "target_var_name": "m", "target_value": 80, "value_dict": {"t": 9}, "is_reverse": true}} | 17,592 | 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 = w + 15; w = t + 3; g = x + 17; m = g + 14; x = i + 18; t = 9; k = f + 4; h = d + 6; d = b + 10; p = s + 2; f = h + 3; i = p + 15; s = t + 5. If t = 9, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = x + 17 to m, which gives m = x + 31.\n2. Substitute x = i + 18 to m, which gives m = i + 49.\n3. Substitute i = p + 15 to m, which gives m = p + 64.\n4. Substitute p = s + 2 to m, which gives m = s + 66.\n5. Substitute s = t + 5 to m, which gives m = t + 71.\n6. Substitute t = 9 to m, which gives m = 80.\n\nThus, the final answer is m = \\boxed{80}.",
"index": 17592,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = w + 15; w = t + 3; g = x + 17; m = g + 14; x = i + 18; t = 9; k = f + 4; h = d + 6; d = b + 10; p = s + 2; f = h + 3; i = p + 15; s = t + 5. If t = 9, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"r": "j + 2", "n": "r + 3", "w": "n + 15", "t": "w + 11", "l": "t + 8", "z": "l + 12", "b": "j + 1", "q": "b + 18", "d": "q + 18", "f": "d + 1", "h": "f + 13", "e": "h + 11", "j": 11}, "premises": {"j": 11}, "target": "z"}, "answer": {"steps": [["l", "t + 8", "t + 20"], ["t", "w + 11", "w + 31"], ["w", "n + 15", "n + 46"], ["n", "r + 3", "r + 49"], ["r", "j + 2", "j + 51"], ["j", 11, "62"]], "target_var_name": "z", "target_value": 62, "value_dict": {"j": 11}, "is_reverse": true}} | 17,593 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = j + 2; z = l + 12; h = f + 13; n = r + 3; b = j + 1; f = d + 1; t = w + 11; q = b + 18; e = h + 11; j = 11; w = n + 15; d = q + 18; l = t + 8. Given that j = 11, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = t + 8 to z, which gives z = t + 20.\n2. Substitute t = w + 11 to z, which gives z = w + 31.\n3. Substitute w = n + 15 to z, which gives z = n + 46.\n4. Substitute n = r + 3 to z, which gives z = r + 49.\n5. Substitute r = j + 2 to z, which gives z = j + 51.\n6. Substitute j = 11 to z, which gives z = 62.\n\nThus, the final answer is z = \\boxed{62}.",
"index": 17593,
"question": "Suppose a collection of variables is related by the following definitions: r = j + 2; z = l + 12; h = f + 13; n = r + 3; b = j + 1; f = d + 1; t = w + 11; q = b + 18; e = h + 11; j = 11; w = n + 15; d = q + 18; l = t + 8. Given that j = 11, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"x": "h + 6", "n": "x + 14", "c": "n + 20", "s": "c + 1", "d": "s + 16", "k": "d + 4", "a": "h + 9", "o": "a + 12", "p": "o + 7", "z": "p + 16", "b": "z + 19", "u": "b + 5", "h": 17}, "premises": {"h": 17}, "target": "k"}, "answer": {"steps": [["d", "s + 16", "s + 20"], ["s", "c + 1", "c + 21"], ["c", "n + 20", "n + 41"], ["n", "x + 14", "x + 55"], ["x", "h + 6", "h + 61"], ["h", 17, "78"]], "target_var_name": "k", "target_value": 78, "value_dict": {"h": 17}, "is_reverse": true}} | 17,594 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = p + 16; b = z + 19; d = s + 16; p = o + 7; u = b + 5; o = a + 12; h = 17; k = d + 4; n = x + 14; c = n + 20; a = h + 9; s = c + 1; x = h + 6. If h = 17, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = s + 16 to k, which gives k = s + 20.\n2. Substitute s = c + 1 to k, which gives k = c + 21.\n3. Substitute c = n + 20 to k, which gives k = n + 41.\n4. Substitute n = x + 14 to k, which gives k = x + 55.\n5. Substitute x = h + 6 to k, which gives k = h + 61.\n6. Substitute h = 17 to k, which gives k = 78.\n\nThus, the final answer is k = \\boxed{78}.",
"index": 17594,
"question": "Consider a system of variables where each variable is defined as follows: z = p + 16; b = z + 19; d = s + 16; p = o + 7; u = b + 5; o = a + 12; h = 17; k = d + 4; n = x + 14; c = n + 20; a = h + 9; s = c + 1; x = h + 6. If h = 17, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"p": "y + 1", "r": "p + 4", "l": "r + 5", "z": "l + 13", "i": "z + 7", "w": "i + 10", "d": "y + 2", "j": "d + 10", "b": "j + 11", "t": "b + 11", "c": "t + 16", "q": "c + 14", "y": 6}, "premises": {"y": 6}, "target": "w"}, "answer": {"steps": [["i", "z + 7", "z + 17"], ["z", "l + 13", "l + 30"], ["l", "r + 5", "r + 35"], ["r", "p + 4", "p + 39"], ["p", "y + 1", "y + 40"], ["y", 6, "46"]], "target_var_name": "w", "target_value": 46, "value_dict": {"y": 6}, "is_reverse": true}} | 17,595 | 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 = p + 4; i = z + 7; c = t + 16; y = 6; w = i + 10; b = j + 11; d = y + 2; z = l + 13; q = c + 14; j = d + 10; l = r + 5; p = y + 1; t = b + 11. If y = 6, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = z + 7 to w, which gives w = z + 17.\n2. Substitute z = l + 13 to w, which gives w = l + 30.\n3. Substitute l = r + 5 to w, which gives w = r + 35.\n4. Substitute r = p + 4 to w, which gives w = p + 39.\n5. Substitute p = y + 1 to w, which gives w = y + 40.\n6. Substitute y = 6 to w, which gives w = 46.\n\nThus, the final answer is w = \\boxed{46}.",
"index": 17595,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = p + 4; i = z + 7; c = t + 16; y = 6; w = i + 10; b = j + 11; d = y + 2; z = l + 13; q = c + 14; j = d + 10; l = r + 5; p = y + 1; t = b + 11. If y = 6, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"s": "n + 4", "y": "s + 6", "v": "y + 6", "t": "v + 19", "z": "t + 1", "x": "z + 15", "g": "n + 14", "u": "g + 16", "d": "u + 9", "c": "d + 12", "b": "c + 1", "l": "b + 17", "n": 9}, "premises": {"n": 9}, "target": "x"}, "answer": {"steps": [["z", "t + 1", "t + 16"], ["t", "v + 19", "v + 35"], ["v", "y + 6", "y + 41"], ["y", "s + 6", "s + 47"], ["s", "n + 4", "n + 51"], ["n", 9, "60"]], "target_var_name": "x", "target_value": 60, "value_dict": {"n": 9}, "is_reverse": true}} | 17,596 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = g + 16; z = t + 1; l = b + 17; g = n + 14; t = v + 19; c = d + 12; n = 9; y = s + 6; d = u + 9; s = n + 4; x = z + 15; b = c + 1; v = y + 6. If n = 9, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = t + 1 to x, which gives x = t + 16.\n2. Substitute t = v + 19 to x, which gives x = v + 35.\n3. Substitute v = y + 6 to x, which gives x = y + 41.\n4. Substitute y = s + 6 to x, which gives x = s + 47.\n5. Substitute s = n + 4 to x, which gives x = n + 51.\n6. Substitute n = 9 to x, which gives x = 60.\n\nThus, the final answer is x = \\boxed{60}.",
"index": 17596,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = g + 16; z = t + 1; l = b + 17; g = n + 14; t = v + 19; c = d + 12; n = 9; y = s + 6; d = u + 9; s = n + 4; x = z + 15; b = c + 1; v = y + 6. If n = 9, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"c": "m + 17", "j": "c + 5", "i": "j + 2", "h": "i + 12", "o": "h + 2", "l": "o + 15", "t": "m + 9", "x": "t + 18", "b": "x + 9", "n": "b + 10", "q": "n + 12", "u": "q + 9", "m": 12}, "premises": {"m": 12}, "target": "l"}, "answer": {"steps": [["o", "h + 2", "h + 17"], ["h", "i + 12", "i + 29"], ["i", "j + 2", "j + 31"], ["j", "c + 5", "c + 36"], ["c", "m + 17", "m + 53"], ["m", 12, "65"]], "target_var_name": "l", "target_value": 65, "value_dict": {"m": 12}, "is_reverse": true}} | 17,597 | 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 = t + 18; b = x + 9; t = m + 9; c = m + 17; q = n + 12; n = b + 10; m = 12; u = q + 9; i = j + 2; j = c + 5; l = o + 15; h = i + 12; o = h + 2. If m = 12, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = h + 2 to l, which gives l = h + 17.\n2. Substitute h = i + 12 to l, which gives l = i + 29.\n3. Substitute i = j + 2 to l, which gives l = j + 31.\n4. Substitute j = c + 5 to l, which gives l = c + 36.\n5. Substitute c = m + 17 to l, which gives l = m + 53.\n6. Substitute m = 12 to l, which gives l = 65.\n\nThus, the final answer is l = \\boxed{65}.",
"index": 17597,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = t + 18; b = x + 9; t = m + 9; c = m + 17; q = n + 12; n = b + 10; m = 12; u = q + 9; i = j + 2; j = c + 5; l = o + 15; h = i + 12; o = h + 2. If m = 12, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"y": "o + 6", "g": "y + 17", "d": "g + 20", "q": "d + 4", "e": "q + 3", "w": "e + 5", "n": "o + 15", "c": "n + 5", "h": "c + 20", "r": "h + 7", "x": "r + 19", "t": "x + 14", "o": 19}, "premises": {"o": 19}, "target": "w"}, "answer": {"steps": [["e", "q + 3", "q + 8"], ["q", "d + 4", "d + 12"], ["d", "g + 20", "g + 32"], ["g", "y + 17", "y + 49"], ["y", "o + 6", "o + 55"], ["o", 19, "74"]], "target_var_name": "w", "target_value": 74, "value_dict": {"o": 19}, "is_reverse": true}} | 17,598 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = r + 19; w = e + 5; r = h + 7; g = y + 17; t = x + 14; n = o + 15; o = 19; y = o + 6; e = q + 3; c = n + 5; h = c + 20; q = d + 4; d = g + 20. If o = 19, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = q + 3 to w, which gives w = q + 8.\n2. Substitute q = d + 4 to w, which gives w = d + 12.\n3. Substitute d = g + 20 to w, which gives w = g + 32.\n4. Substitute g = y + 17 to w, which gives w = y + 49.\n5. Substitute y = o + 6 to w, which gives w = o + 55.\n6. Substitute o = 19 to w, which gives w = 74.\n\nThus, the final answer is w = \\boxed{74}.",
"index": 17598,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = r + 19; w = e + 5; r = h + 7; g = y + 17; t = x + 14; n = o + 15; o = 19; y = o + 6; e = q + 3; c = n + 5; h = c + 20; q = d + 4; d = g + 20. If o = 19, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"q": "i + 13", "n": "q + 11", "z": "n + 8", "l": "z + 20", "d": "l + 15", "o": "d + 7", "e": "i + 12", "p": "e + 7", "j": "p + 20", "t": "j + 17", "u": "t + 6", "k": "u + 10", "i": 10}, "premises": {"i": 10}, "target": "o"}, "answer": {"steps": [["d", "l + 15", "l + 22"], ["l", "z + 20", "z + 42"], ["z", "n + 8", "n + 50"], ["n", "q + 11", "q + 61"], ["q", "i + 13", "i + 74"], ["i", 10, "84"]], "target_var_name": "o", "target_value": 84, "value_dict": {"i": 10}, "is_reverse": true}} | 17,599 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = p + 20; k = u + 10; o = d + 7; u = t + 6; l = z + 20; e = i + 12; d = l + 15; n = q + 11; z = n + 8; i = 10; q = i + 13; p = e + 7; t = j + 17. If i = 10, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = l + 15 to o, which gives o = l + 22.\n2. Substitute l = z + 20 to o, which gives o = z + 42.\n3. Substitute z = n + 8 to o, which gives o = n + 50.\n4. Substitute n = q + 11 to o, which gives o = q + 61.\n5. Substitute q = i + 13 to o, which gives o = i + 74.\n6. Substitute i = 10 to o, which gives o = 84.\n\nThus, the final answer is o = \\boxed{84}.",
"index": 17599,
"question": "Consider a system of variables where each variable is defined as follows: j = p + 20; k = u + 10; o = d + 7; u = t + 6; l = z + 20; e = i + 12; d = l + 15; n = q + 11; z = n + 8; i = 10; q = i + 13; p = e + 7; t = j + 17. If i = 10, determine the value of o.",
"split": "train"
} |
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