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": {"y": "u + 7", "w": "y + 3", "e": "w + 15", "d": "e + 15", "n": "d + 6", "p": "n + 19", "v": "u + 17", "i": "v + 9", "j": "i + 12", "c": "j + 9", "s": "c + 6", "x": "s + 12", "u": 17}, "premises": {"u": 17}, "target": "p"}, "answer": {"steps": [["n", "d + 6", "d + 25"], ["d", "e + 15", "e + 40"], ["e", "w + 15", "w + 55"], ["w", "y + 3", "y + 58"], ["y", "u + 7", "u + 65"], ["u", 17, "82"]], "target_var_name": "p", "target_value": 82, "value_dict": {"u": 17}, "is_reverse": true}} | 22,100 | 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 = w + 15; u = 17; c = j + 9; s = c + 6; n = d + 6; w = y + 3; y = u + 7; d = e + 15; j = i + 12; v = u + 17; x = s + 12; p = n + 19; i = v + 9. If u = 17, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = d + 6 to p, which gives p = d + 25.\n2. Substitute d = e + 15 to p, which gives p = e + 40.\n3. Substitute e = w + 15 to p, which gives p = w + 55.\n4. Substitute w = y + 3 to p, which gives p = y + 58.\n5. Substitute y = u + 7 to p, which gives p = u + 65.\n6. Substitute u = 17 to p, which gives p = 82.\n\nThus, the final answer is p = \\boxed{82}.",
"index": 22100,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = w + 15; u = 17; c = j + 9; s = c + 6; n = d + 6; w = y + 3; y = u + 7; d = e + 15; j = i + 12; v = u + 17; x = s + 12; p = n + 19; i = v + 9. If u = 17, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"f": "i + 2", "w": "f + 10", "e": "w + 7", "k": "e + 9", "a": "k + 10", "x": "a + 15", "q": "i + 18", "b": "q + 10", "o": "b + 4", "z": "o + 7", "c": "z + 11", "l": "c + 2", "i": 4}, "premises": {"i": 4}, "target": "x"}, "answer": {"steps": [["a", "k + 10", "k + 25"], ["k", "e + 9", "e + 34"], ["e", "w + 7", "w + 41"], ["w", "f + 10", "f + 51"], ["f", "i + 2", "i + 53"], ["i", 4, "57"]], "target_var_name": "x", "target_value": 57, "value_dict": {"i": 4}, "is_reverse": true}} | 22,101 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = e + 9; l = c + 2; b = q + 10; x = a + 15; a = k + 10; i = 4; w = f + 10; q = i + 18; o = b + 4; e = w + 7; c = z + 11; f = i + 2; z = o + 7. Given that i = 4, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = k + 10 to x, which gives x = k + 25.\n2. Substitute k = e + 9 to x, which gives x = e + 34.\n3. Substitute e = w + 7 to x, which gives x = w + 41.\n4. Substitute w = f + 10 to x, which gives x = f + 51.\n5. Substitute f = i + 2 to x, which gives x = i + 53.\n6. Substitute i = 4 to x, which gives x = 57.\n\nThus, the final answer is x = \\boxed{57}.",
"index": 22101,
"question": "Suppose a collection of variables is related by the following definitions: k = e + 9; l = c + 2; b = q + 10; x = a + 15; a = k + 10; i = 4; w = f + 10; q = i + 18; o = b + 4; e = w + 7; c = z + 11; f = i + 2; z = o + 7. Given that i = 4, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"s": "l + 8", "q": "s + 17", "x": "q + 2", "e": "x + 16", "u": "e + 12", "v": "u + 6", "j": "l + 20", "h": "j + 9", "m": "h + 10", "a": "m + 11", "t": "a + 6", "p": "t + 3", "l": 7}, "premises": {"l": 7}, "target": "v"}, "answer": {"steps": [["u", "e + 12", "e + 18"], ["e", "x + 16", "x + 34"], ["x", "q + 2", "q + 36"], ["q", "s + 17", "s + 53"], ["s", "l + 8", "l + 61"], ["l", 7, "68"]], "target_var_name": "v", "target_value": 68, "value_dict": {"l": 7}, "is_reverse": true}} | 22,102 | 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 = l + 20; v = u + 6; q = s + 17; t = a + 6; a = m + 11; p = t + 3; e = x + 16; u = e + 12; l = 7; m = h + 10; s = l + 8; x = q + 2; h = j + 9. If l = 7, 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 u = e + 12 to v, which gives v = e + 18.\n2. Substitute e = x + 16 to v, which gives v = x + 34.\n3. Substitute x = q + 2 to v, which gives v = q + 36.\n4. Substitute q = s + 17 to v, which gives v = s + 53.\n5. Substitute s = l + 8 to v, which gives v = l + 61.\n6. Substitute l = 7 to v, which gives v = 68.\n\nThus, the final answer is v = \\boxed{68}.",
"index": 22102,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = l + 20; v = u + 6; q = s + 17; t = a + 6; a = m + 11; p = t + 3; e = x + 16; u = e + 12; l = 7; m = h + 10; s = l + 8; x = q + 2; h = j + 9. If l = 7, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"f": "d + 11", "z": "f + 8", "i": "z + 5", "u": "i + 13", "o": "u + 4", "x": "o + 3", "g": "d + 12", "c": "g + 20", "s": "c + 8", "l": "s + 18", "n": "l + 3", "m": "n + 1", "d": 7}, "premises": {"d": 7}, "target": "x"}, "answer": {"steps": [["o", "u + 4", "u + 7"], ["u", "i + 13", "i + 20"], ["i", "z + 5", "z + 25"], ["z", "f + 8", "f + 33"], ["f", "d + 11", "d + 44"], ["d", 7, "51"]], "target_var_name": "x", "target_value": 51, "value_dict": {"d": 7}, "is_reverse": true}} | 22,103 | 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 = i + 13; s = c + 8; z = f + 8; g = d + 12; n = l + 3; f = d + 11; i = z + 5; l = s + 18; m = n + 1; c = g + 20; o = u + 4; d = 7; x = o + 3. If d = 7, 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 o = u + 4 to x, which gives x = u + 7.\n2. Substitute u = i + 13 to x, which gives x = i + 20.\n3. Substitute i = z + 5 to x, which gives x = z + 25.\n4. Substitute z = f + 8 to x, which gives x = f + 33.\n5. Substitute f = d + 11 to x, which gives x = d + 44.\n6. Substitute d = 7 to x, which gives x = 51.\n\nThus, the final answer is x = \\boxed{51}.",
"index": 22103,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = i + 13; s = c + 8; z = f + 8; g = d + 12; n = l + 3; f = d + 11; i = z + 5; l = s + 18; m = n + 1; c = g + 20; o = u + 4; d = 7; x = o + 3. If d = 7, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"h": "x + 14", "i": "h + 12", "b": "i + 7", "t": "b + 7", "r": "t + 4", "j": "r + 13", "s": "x + 3", "e": "s + 17", "o": "e + 11", "m": "o + 3", "z": "m + 16", "k": "z + 3", "x": 8}, "premises": {"x": 8}, "target": "j"}, "answer": {"steps": [["r", "t + 4", "t + 17"], ["t", "b + 7", "b + 24"], ["b", "i + 7", "i + 31"], ["i", "h + 12", "h + 43"], ["h", "x + 14", "x + 57"], ["x", 8, "65"]], "target_var_name": "j", "target_value": 65, "value_dict": {"x": 8}, "is_reverse": true}} | 22,104 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = x + 3; b = i + 7; r = t + 4; h = x + 14; z = m + 16; m = o + 3; e = s + 17; i = h + 12; t = b + 7; k = z + 3; j = r + 13; o = e + 11; x = 8. Given that x = 8, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = t + 4 to j, which gives j = t + 17.\n2. Substitute t = b + 7 to j, which gives j = b + 24.\n3. Substitute b = i + 7 to j, which gives j = i + 31.\n4. Substitute i = h + 12 to j, which gives j = h + 43.\n5. Substitute h = x + 14 to j, which gives j = x + 57.\n6. Substitute x = 8 to j, which gives j = 65.\n\nThus, the final answer is j = \\boxed{65}.",
"index": 22104,
"question": "Suppose a collection of variables is related by the following definitions: s = x + 3; b = i + 7; r = t + 4; h = x + 14; z = m + 16; m = o + 3; e = s + 17; i = h + 12; t = b + 7; k = z + 3; j = r + 13; o = e + 11; x = 8. Given that x = 8, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"x": "j + 20", "m": "x + 3", "g": "m + 1", "v": "g + 4", "l": "v + 19", "n": "l + 7", "r": "j + 10", "z": "r + 12", "o": "z + 3", "c": "o + 15", "t": "c + 2", "b": "t + 15", "j": 8}, "premises": {"j": 8}, "target": "n"}, "answer": {"steps": [["l", "v + 19", "v + 26"], ["v", "g + 4", "g + 30"], ["g", "m + 1", "m + 31"], ["m", "x + 3", "x + 34"], ["x", "j + 20", "j + 54"], ["j", 8, "62"]], "target_var_name": "n", "target_value": 62, "value_dict": {"j": 8}, "is_reverse": true}} | 22,105 | 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 = t + 15; r = j + 10; o = z + 3; l = v + 19; n = l + 7; v = g + 4; j = 8; c = o + 15; t = c + 2; z = r + 12; g = m + 1; m = x + 3; x = j + 20. If j = 8, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = v + 19 to n, which gives n = v + 26.\n2. Substitute v = g + 4 to n, which gives n = g + 30.\n3. Substitute g = m + 1 to n, which gives n = m + 31.\n4. Substitute m = x + 3 to n, which gives n = x + 34.\n5. Substitute x = j + 20 to n, which gives n = j + 54.\n6. Substitute j = 8 to n, which gives n = 62.\n\nThus, the final answer is n = \\boxed{62}.",
"index": 22105,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = t + 15; r = j + 10; o = z + 3; l = v + 19; n = l + 7; v = g + 4; j = 8; c = o + 15; t = c + 2; z = r + 12; g = m + 1; m = x + 3; x = j + 20. If j = 8, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"l": "a + 19", "f": "l + 17", "w": "f + 11", "v": "w + 1", "g": "v + 9", "b": "g + 1", "c": "a + 19", "i": "c + 1", "e": "i + 16", "k": "e + 5", "m": "k + 13", "d": "m + 10", "a": 6}, "premises": {"a": 6}, "target": "b"}, "answer": {"steps": [["g", "v + 9", "v + 10"], ["v", "w + 1", "w + 11"], ["w", "f + 11", "f + 22"], ["f", "l + 17", "l + 39"], ["l", "a + 19", "a + 58"], ["a", 6, "64"]], "target_var_name": "b", "target_value": 64, "value_dict": {"a": 6}, "is_reverse": true}} | 22,106 | 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 = w + 1; l = a + 19; b = g + 1; c = a + 19; w = f + 11; f = l + 17; i = c + 1; m = k + 13; g = v + 9; k = e + 5; a = 6; e = i + 16; d = m + 10. If a = 6, what is the resulting 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 g = v + 9 to b, which gives b = v + 10.\n2. Substitute v = w + 1 to b, which gives b = w + 11.\n3. Substitute w = f + 11 to b, which gives b = f + 22.\n4. Substitute f = l + 17 to b, which gives b = l + 39.\n5. Substitute l = a + 19 to b, which gives b = a + 58.\n6. Substitute a = 6 to b, which gives b = 64.\n\nThus, the final answer is b = \\boxed{64}.",
"index": 22106,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = w + 1; l = a + 19; b = g + 1; c = a + 19; w = f + 11; f = l + 17; i = c + 1; m = k + 13; g = v + 9; k = e + 5; a = 6; e = i + 16; d = m + 10. If a = 6, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"d": "l + 18", "m": "d + 12", "q": "m + 8", "x": "q + 2", "s": "x + 10", "r": "s + 5", "z": "l + 4", "k": "z + 17", "i": "k + 5", "w": "i + 14", "c": "w + 11", "n": "c + 17", "l": 1}, "premises": {"l": 1}, "target": "r"}, "answer": {"steps": [["s", "x + 10", "x + 15"], ["x", "q + 2", "q + 17"], ["q", "m + 8", "m + 25"], ["m", "d + 12", "d + 37"], ["d", "l + 18", "l + 55"], ["l", 1, "56"]], "target_var_name": "r", "target_value": 56, "value_dict": {"l": 1}, "is_reverse": true}} | 22,107 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = c + 17; r = s + 5; w = i + 14; k = z + 17; z = l + 4; d = l + 18; l = 1; c = w + 11; i = k + 5; x = q + 2; m = d + 12; s = x + 10; q = m + 8. If l = 1, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = x + 10 to r, which gives r = x + 15.\n2. Substitute x = q + 2 to r, which gives r = q + 17.\n3. Substitute q = m + 8 to r, which gives r = m + 25.\n4. Substitute m = d + 12 to r, which gives r = d + 37.\n5. Substitute d = l + 18 to r, which gives r = l + 55.\n6. Substitute l = 1 to r, which gives r = 56.\n\nThus, the final answer is r = \\boxed{56}.",
"index": 22107,
"question": "Consider a system of variables where each variable is defined as follows: n = c + 17; r = s + 5; w = i + 14; k = z + 17; z = l + 4; d = l + 18; l = 1; c = w + 11; i = k + 5; x = q + 2; m = d + 12; s = x + 10; q = m + 8. If l = 1, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"g": "u + 17", "k": "g + 18", "v": "k + 8", "s": "v + 8", "x": "s + 14", "w": "x + 4", "p": "u + 5", "f": "p + 10", "h": "f + 13", "z": "h + 15", "y": "z + 16", "i": "y + 18", "u": 8}, "premises": {"u": 8}, "target": "w"}, "answer": {"steps": [["x", "s + 14", "s + 18"], ["s", "v + 8", "v + 26"], ["v", "k + 8", "k + 34"], ["k", "g + 18", "g + 52"], ["g", "u + 17", "u + 69"], ["u", 8, "77"]], "target_var_name": "w", "target_value": 77, "value_dict": {"u": 8}, "is_reverse": true}} | 22,108 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = u + 17; u = 8; y = z + 16; s = v + 8; w = x + 4; v = k + 8; p = u + 5; k = g + 18; h = f + 13; i = y + 18; z = h + 15; x = s + 14; f = p + 10. If u = 8, determine the 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 x = s + 14 to w, which gives w = s + 18.\n2. Substitute s = v + 8 to w, which gives w = v + 26.\n3. Substitute v = k + 8 to w, which gives w = k + 34.\n4. Substitute k = g + 18 to w, which gives w = g + 52.\n5. Substitute g = u + 17 to w, which gives w = u + 69.\n6. Substitute u = 8 to w, which gives w = 77.\n\nThus, the final answer is w = \\boxed{77}.",
"index": 22108,
"question": "Consider a system of variables where each variable is defined as follows: g = u + 17; u = 8; y = z + 16; s = v + 8; w = x + 4; v = k + 8; p = u + 5; k = g + 18; h = f + 13; i = y + 18; z = h + 15; x = s + 14; f = p + 10. If u = 8, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"u": "n + 15", "o": "u + 14", "i": "o + 15", "e": "i + 3", "l": "e + 4", "m": "l + 19", "d": "n + 12", "w": "d + 20", "r": "w + 16", "p": "r + 13", "z": "p + 20", "k": "z + 20", "n": 17}, "premises": {"n": 17}, "target": "m"}, "answer": {"steps": [["l", "e + 4", "e + 23"], ["e", "i + 3", "i + 26"], ["i", "o + 15", "o + 41"], ["o", "u + 14", "u + 55"], ["u", "n + 15", "n + 70"], ["n", 17, "87"]], "target_var_name": "m", "target_value": 87, "value_dict": {"n": 17}, "is_reverse": true}} | 22,109 | 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 = p + 20; w = d + 20; o = u + 14; e = i + 3; d = n + 12; m = l + 19; l = e + 4; n = 17; i = o + 15; p = r + 13; u = n + 15; r = w + 16; k = z + 20. If n = 17, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = e + 4 to m, which gives m = e + 23.\n2. Substitute e = i + 3 to m, which gives m = i + 26.\n3. Substitute i = o + 15 to m, which gives m = o + 41.\n4. Substitute o = u + 14 to m, which gives m = u + 55.\n5. Substitute u = n + 15 to m, which gives m = n + 70.\n6. Substitute n = 17 to m, which gives m = 87.\n\nThus, the final answer is m = \\boxed{87}.",
"index": 22109,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = p + 20; w = d + 20; o = u + 14; e = i + 3; d = n + 12; m = l + 19; l = e + 4; n = 17; i = o + 15; p = r + 13; u = n + 15; r = w + 16; k = z + 20. If n = 17, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"d": "y + 7", "g": "d + 16", "s": "g + 18", "h": "s + 9", "j": "h + 20", "c": "j + 9", "x": "y + 15", "v": "x + 20", "q": "v + 17", "w": "q + 3", "o": "w + 14", "m": "o + 19", "y": 17}, "premises": {"y": 17}, "target": "c"}, "answer": {"steps": [["j", "h + 20", "h + 29"], ["h", "s + 9", "s + 38"], ["s", "g + 18", "g + 56"], ["g", "d + 16", "d + 72"], ["d", "y + 7", "y + 79"], ["y", 17, "96"]], "target_var_name": "c", "target_value": 96, "value_dict": {"y": 17}, "is_reverse": true}} | 22,110 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = 17; g = d + 16; o = w + 14; j = h + 20; q = v + 17; v = x + 20; d = y + 7; s = g + 18; x = y + 15; w = q + 3; m = o + 19; h = s + 9; c = j + 9. Given that y = 17, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = h + 20 to c, which gives c = h + 29.\n2. Substitute h = s + 9 to c, which gives c = s + 38.\n3. Substitute s = g + 18 to c, which gives c = g + 56.\n4. Substitute g = d + 16 to c, which gives c = d + 72.\n5. Substitute d = y + 7 to c, which gives c = y + 79.\n6. Substitute y = 17 to c, which gives c = 96.\n\nThus, the final answer is c = \\boxed{96}.",
"index": 22110,
"question": "Suppose a collection of variables is related by the following definitions: y = 17; g = d + 16; o = w + 14; j = h + 20; q = v + 17; v = x + 20; d = y + 7; s = g + 18; x = y + 15; w = q + 3; m = o + 19; h = s + 9; c = j + 9. Given that y = 17, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"q": "h + 19", "z": "q + 5", "p": "z + 17", "m": "p + 11", "a": "m + 5", "k": "a + 11", "e": "h + 15", "n": "e + 2", "w": "n + 20", "d": "w + 13", "t": "d + 11", "g": "t + 18", "h": 6}, "premises": {"h": 6}, "target": "k"}, "answer": {"steps": [["a", "m + 5", "m + 16"], ["m", "p + 11", "p + 27"], ["p", "z + 17", "z + 44"], ["z", "q + 5", "q + 49"], ["q", "h + 19", "h + 68"], ["h", 6, "74"]], "target_var_name": "k", "target_value": 74, "value_dict": {"h": 6}, "is_reverse": true}} | 22,111 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = w + 13; z = q + 5; h = 6; m = p + 11; w = n + 20; p = z + 17; k = a + 11; t = d + 11; a = m + 5; g = t + 18; q = h + 19; n = e + 2; e = h + 15. If h = 6, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = m + 5 to k, which gives k = m + 16.\n2. Substitute m = p + 11 to k, which gives k = p + 27.\n3. Substitute p = z + 17 to k, which gives k = z + 44.\n4. Substitute z = q + 5 to k, which gives k = q + 49.\n5. Substitute q = h + 19 to k, which gives k = h + 68.\n6. Substitute h = 6 to k, which gives k = 74.\n\nThus, the final answer is k = \\boxed{74}.",
"index": 22111,
"question": "Consider a system of variables where each variable is defined as follows: d = w + 13; z = q + 5; h = 6; m = p + 11; w = n + 20; p = z + 17; k = a + 11; t = d + 11; a = m + 5; g = t + 18; q = h + 19; n = e + 2; e = h + 15. If h = 6, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"q": "a + 14", "e": "q + 12", "y": "e + 3", "i": "y + 4", "j": "i + 18", "f": "j + 10", "x": "a + 14", "m": "x + 14", "n": "m + 19", "c": "n + 11", "h": "c + 20", "v": "h + 20", "a": 11}, "premises": {"a": 11}, "target": "f"}, "answer": {"steps": [["j", "i + 18", "i + 28"], ["i", "y + 4", "y + 32"], ["y", "e + 3", "e + 35"], ["e", "q + 12", "q + 47"], ["q", "a + 14", "a + 61"], ["a", 11, "72"]], "target_var_name": "f", "target_value": 72, "value_dict": {"a": 11}, "is_reverse": true}} | 22,112 | 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 = e + 3; j = i + 18; m = x + 14; f = j + 10; i = y + 4; q = a + 14; c = n + 11; x = a + 14; e = q + 12; n = m + 19; a = 11; h = c + 20; v = h + 20. If a = 11, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = i + 18 to f, which gives f = i + 28.\n2. Substitute i = y + 4 to f, which gives f = y + 32.\n3. Substitute y = e + 3 to f, which gives f = e + 35.\n4. Substitute e = q + 12 to f, which gives f = q + 47.\n5. Substitute q = a + 14 to f, which gives f = a + 61.\n6. Substitute a = 11 to f, which gives f = 72.\n\nThus, the final answer is f = \\boxed{72}.",
"index": 22112,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = e + 3; j = i + 18; m = x + 14; f = j + 10; i = y + 4; q = a + 14; c = n + 11; x = a + 14; e = q + 12; n = m + 19; a = 11; h = c + 20; v = h + 20. If a = 11, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"j": "l + 19", "v": "j + 17", "e": "v + 1", "u": "e + 16", "h": "u + 5", "n": "h + 1", "g": "l + 16", "x": "g + 15", "z": "x + 20", "s": "z + 9", "t": "s + 12", "i": "t + 13", "l": 15}, "premises": {"l": 15}, "target": "n"}, "answer": {"steps": [["h", "u + 5", "u + 6"], ["u", "e + 16", "e + 22"], ["e", "v + 1", "v + 23"], ["v", "j + 17", "j + 40"], ["j", "l + 19", "l + 59"], ["l", 15, "74"]], "target_var_name": "n", "target_value": 74, "value_dict": {"l": 15}, "is_reverse": true}} | 22,113 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = t + 13; n = h + 1; u = e + 16; e = v + 1; h = u + 5; l = 15; x = g + 15; s = z + 9; v = j + 17; z = x + 20; j = l + 19; t = s + 12; g = l + 16. If l = 15, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = u + 5 to n, which gives n = u + 6.\n2. Substitute u = e + 16 to n, which gives n = e + 22.\n3. Substitute e = v + 1 to n, which gives n = v + 23.\n4. Substitute v = j + 17 to n, which gives n = j + 40.\n5. Substitute j = l + 19 to n, which gives n = l + 59.\n6. Substitute l = 15 to n, which gives n = 74.\n\nThus, the final answer is n = \\boxed{74}.",
"index": 22113,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = t + 13; n = h + 1; u = e + 16; e = v + 1; h = u + 5; l = 15; x = g + 15; s = z + 9; v = j + 17; z = x + 20; j = l + 19; t = s + 12; g = l + 16. If l = 15, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"l": "o + 19", "u": "l + 10", "k": "u + 7", "x": "k + 17", "m": "x + 8", "w": "m + 7", "a": "o + 13", "h": "a + 18", "c": "h + 19", "v": "c + 16", "t": "v + 6", "q": "t + 16", "o": 7}, "premises": {"o": 7}, "target": "w"}, "answer": {"steps": [["m", "x + 8", "x + 15"], ["x", "k + 17", "k + 32"], ["k", "u + 7", "u + 39"], ["u", "l + 10", "l + 49"], ["l", "o + 19", "o + 68"], ["o", 7, "75"]], "target_var_name": "w", "target_value": 75, "value_dict": {"o": 7}, "is_reverse": true}} | 22,114 | 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 + 18; t = v + 6; u = l + 10; m = x + 8; l = o + 19; c = h + 19; x = k + 17; w = m + 7; o = 7; q = t + 16; k = u + 7; a = o + 13; v = c + 16. If o = 7, 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 m = x + 8 to w, which gives w = x + 15.\n2. Substitute x = k + 17 to w, which gives w = k + 32.\n3. Substitute k = u + 7 to w, which gives w = u + 39.\n4. Substitute u = l + 10 to w, which gives w = l + 49.\n5. Substitute l = o + 19 to w, which gives w = o + 68.\n6. Substitute o = 7 to w, which gives w = 75.\n\nThus, the final answer is w = \\boxed{75}.",
"index": 22114,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = a + 18; t = v + 6; u = l + 10; m = x + 8; l = o + 19; c = h + 19; x = k + 17; w = m + 7; o = 7; q = t + 16; k = u + 7; a = o + 13; v = c + 16. If o = 7, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"v": "e + 2", "s": "v + 7", "p": "s + 15", "l": "p + 19", "h": "l + 20", "b": "h + 10", "r": "e + 8", "i": "r + 18", "w": "i + 14", "q": "w + 17", "k": "q + 15", "m": "k + 10", "e": 13}, "premises": {"e": 13}, "target": "b"}, "answer": {"steps": [["h", "l + 20", "l + 30"], ["l", "p + 19", "p + 49"], ["p", "s + 15", "s + 64"], ["s", "v + 7", "v + 71"], ["v", "e + 2", "e + 73"], ["e", 13, "86"]], "target_var_name": "b", "target_value": 86, "value_dict": {"e": 13}, "is_reverse": true}} | 22,115 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = s + 15; w = i + 14; i = r + 18; b = h + 10; q = w + 17; v = e + 2; e = 13; s = v + 7; l = p + 19; m = k + 10; h = l + 20; r = e + 8; k = q + 15. If e = 13, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = l + 20 to b, which gives b = l + 30.\n2. Substitute l = p + 19 to b, which gives b = p + 49.\n3. Substitute p = s + 15 to b, which gives b = s + 64.\n4. Substitute s = v + 7 to b, which gives b = v + 71.\n5. Substitute v = e + 2 to b, which gives b = e + 73.\n6. Substitute e = 13 to b, which gives b = 86.\n\nThus, the final answer is b = \\boxed{86}.",
"index": 22115,
"question": "Consider a system of variables where each variable is defined as follows: p = s + 15; w = i + 14; i = r + 18; b = h + 10; q = w + 17; v = e + 2; e = 13; s = v + 7; l = p + 19; m = k + 10; h = l + 20; r = e + 8; k = q + 15. If e = 13, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"a": "c + 6", "u": "a + 13", "m": "u + 14", "f": "m + 12", "t": "f + 4", "x": "t + 15", "q": "c + 5", "b": "q + 3", "w": "b + 6", "n": "w + 10", "i": "n + 13", "y": "i + 15", "c": 3}, "premises": {"c": 3}, "target": "x"}, "answer": {"steps": [["t", "f + 4", "f + 19"], ["f", "m + 12", "m + 31"], ["m", "u + 14", "u + 45"], ["u", "a + 13", "a + 58"], ["a", "c + 6", "c + 64"], ["c", 3, "67"]], "target_var_name": "x", "target_value": 67, "value_dict": {"c": 3}, "is_reverse": true}} | 22,116 | 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 + 15; f = m + 12; m = u + 14; a = c + 6; q = c + 5; c = 3; b = q + 3; y = i + 15; u = a + 13; i = n + 13; t = f + 4; n = w + 10; w = b + 6. If c = 3, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = f + 4 to x, which gives x = f + 19.\n2. Substitute f = m + 12 to x, which gives x = m + 31.\n3. Substitute m = u + 14 to x, which gives x = u + 45.\n4. Substitute u = a + 13 to x, which gives x = a + 58.\n5. Substitute a = c + 6 to x, which gives x = c + 64.\n6. Substitute c = 3 to x, which gives x = 67.\n\nThus, the final answer is x = \\boxed{67}.",
"index": 22116,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = t + 15; f = m + 12; m = u + 14; a = c + 6; q = c + 5; c = 3; b = q + 3; y = i + 15; u = a + 13; i = n + 13; t = f + 4; n = w + 10; w = b + 6. If c = 3, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"l": "g + 8", "u": "l + 16", "i": "u + 9", "p": "i + 16", "o": "p + 10", "m": "o + 14", "d": "g + 9", "b": "d + 7", "x": "b + 13", "v": "x + 1", "e": "v + 9", "y": "e + 1", "g": 9}, "premises": {"g": 9}, "target": "m"}, "answer": {"steps": [["o", "p + 10", "p + 24"], ["p", "i + 16", "i + 40"], ["i", "u + 9", "u + 49"], ["u", "l + 16", "l + 65"], ["l", "g + 8", "g + 73"], ["g", 9, "82"]], "target_var_name": "m", "target_value": 82, "value_dict": {"g": 9}, "is_reverse": true}} | 22,117 | 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 = x + 1; l = g + 8; x = b + 13; d = g + 9; g = 9; b = d + 7; m = o + 14; u = l + 16; o = p + 10; y = e + 1; i = u + 9; p = i + 16; e = v + 9. If g = 9, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = p + 10 to m, which gives m = p + 24.\n2. Substitute p = i + 16 to m, which gives m = i + 40.\n3. Substitute i = u + 9 to m, which gives m = u + 49.\n4. Substitute u = l + 16 to m, which gives m = l + 65.\n5. Substitute l = g + 8 to m, which gives m = g + 73.\n6. Substitute g = 9 to m, which gives m = 82.\n\nThus, the final answer is m = \\boxed{82}.",
"index": 22117,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = x + 1; l = g + 8; x = b + 13; d = g + 9; g = 9; b = d + 7; m = o + 14; u = l + 16; o = p + 10; y = e + 1; i = u + 9; p = i + 16; e = v + 9. If g = 9, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"i": "p + 3", "d": "i + 9", "o": "d + 9", "g": "o + 17", "l": "g + 10", "k": "l + 16", "u": "p + 5", "e": "u + 13", "b": "e + 3", "j": "b + 3", "f": "j + 14", "m": "f + 10", "p": 17}, "premises": {"p": 17}, "target": "k"}, "answer": {"steps": [["l", "g + 10", "g + 26"], ["g", "o + 17", "o + 43"], ["o", "d + 9", "d + 52"], ["d", "i + 9", "i + 61"], ["i", "p + 3", "p + 64"], ["p", 17, "81"]], "target_var_name": "k", "target_value": 81, "value_dict": {"p": 17}, "is_reverse": true}} | 22,118 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = j + 14; o = d + 9; p = 17; k = l + 16; i = p + 3; l = g + 10; d = i + 9; j = b + 3; e = u + 13; g = o + 17; m = f + 10; u = p + 5; b = e + 3. If p = 17, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = g + 10 to k, which gives k = g + 26.\n2. Substitute g = o + 17 to k, which gives k = o + 43.\n3. Substitute o = d + 9 to k, which gives k = d + 52.\n4. Substitute d = i + 9 to k, which gives k = i + 61.\n5. Substitute i = p + 3 to k, which gives k = p + 64.\n6. Substitute p = 17 to k, which gives k = 81.\n\nThus, the final answer is k = \\boxed{81}.",
"index": 22118,
"question": "Consider a system of variables where each variable is defined as follows: f = j + 14; o = d + 9; p = 17; k = l + 16; i = p + 3; l = g + 10; d = i + 9; j = b + 3; e = u + 13; g = o + 17; m = f + 10; u = p + 5; b = e + 3. If p = 17, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"i": "z + 2", "e": "i + 11", "v": "e + 8", "q": "v + 19", "l": "q + 12", "p": "l + 2", "x": "z + 7", "c": "x + 18", "o": "c + 3", "m": "o + 5", "r": "m + 20", "t": "r + 5", "z": 4}, "premises": {"z": 4}, "target": "p"}, "answer": {"steps": [["l", "q + 12", "q + 14"], ["q", "v + 19", "v + 33"], ["v", "e + 8", "e + 41"], ["e", "i + 11", "i + 52"], ["i", "z + 2", "z + 54"], ["z", 4, "58"]], "target_var_name": "p", "target_value": 58, "value_dict": {"z": 4}, "is_reverse": true}} | 22,119 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = x + 18; l = q + 12; i = z + 2; q = v + 19; p = l + 2; z = 4; m = o + 5; o = c + 3; e = i + 11; x = z + 7; r = m + 20; t = r + 5; v = e + 8. If z = 4, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = q + 12 to p, which gives p = q + 14.\n2. Substitute q = v + 19 to p, which gives p = v + 33.\n3. Substitute v = e + 8 to p, which gives p = e + 41.\n4. Substitute e = i + 11 to p, which gives p = i + 52.\n5. Substitute i = z + 2 to p, which gives p = z + 54.\n6. Substitute z = 4 to p, which gives p = 58.\n\nThus, the final answer is p = \\boxed{58}.",
"index": 22119,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = x + 18; l = q + 12; i = z + 2; q = v + 19; p = l + 2; z = 4; m = o + 5; o = c + 3; e = i + 11; x = z + 7; r = m + 20; t = r + 5; v = e + 8. If z = 4, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"q": "y + 1", "x": "q + 5", "b": "x + 7", "w": "b + 8", "h": "w + 2", "o": "h + 20", "f": "y + 8", "v": "f + 15", "z": "v + 4", "p": "z + 13", "s": "p + 11", "l": "s + 9", "y": 3}, "premises": {"y": 3}, "target": "o"}, "answer": {"steps": [["h", "w + 2", "w + 22"], ["w", "b + 8", "b + 30"], ["b", "x + 7", "x + 37"], ["x", "q + 5", "q + 42"], ["q", "y + 1", "y + 43"], ["y", 3, "46"]], "target_var_name": "o", "target_value": 46, "value_dict": {"y": 3}, "is_reverse": true}} | 22,120 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = z + 13; l = s + 9; y = 3; w = b + 8; v = f + 15; z = v + 4; q = y + 1; x = q + 5; s = p + 11; b = x + 7; f = y + 8; o = h + 20; h = w + 2. If y = 3, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = w + 2 to o, which gives o = w + 22.\n2. Substitute w = b + 8 to o, which gives o = b + 30.\n3. Substitute b = x + 7 to o, which gives o = x + 37.\n4. Substitute x = q + 5 to o, which gives o = q + 42.\n5. Substitute q = y + 1 to o, which gives o = y + 43.\n6. Substitute y = 3 to o, which gives o = 46.\n\nThus, the final answer is o = \\boxed{46}.",
"index": 22120,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = z + 13; l = s + 9; y = 3; w = b + 8; v = f + 15; z = v + 4; q = y + 1; x = q + 5; s = p + 11; b = x + 7; f = y + 8; o = h + 20; h = w + 2. If y = 3, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"d": "w + 20", "j": "d + 1", "x": "j + 20", "p": "x + 16", "h": "p + 6", "o": "h + 3", "b": "w + 14", "y": "b + 3", "k": "y + 19", "c": "k + 11", "n": "c + 17", "s": "n + 11", "w": 3}, "premises": {"w": 3}, "target": "o"}, "answer": {"steps": [["h", "p + 6", "p + 9"], ["p", "x + 16", "x + 25"], ["x", "j + 20", "j + 45"], ["j", "d + 1", "d + 46"], ["d", "w + 20", "w + 66"], ["w", 3, "69"]], "target_var_name": "o", "target_value": 69, "value_dict": {"w": 3}, "is_reverse": true}} | 22,121 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = p + 6; d = w + 20; x = j + 20; j = d + 1; b = w + 14; s = n + 11; w = 3; o = h + 3; k = y + 19; c = k + 11; p = x + 16; n = c + 17; y = b + 3. If w = 3, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = p + 6 to o, which gives o = p + 9.\n2. Substitute p = x + 16 to o, which gives o = x + 25.\n3. Substitute x = j + 20 to o, which gives o = j + 45.\n4. Substitute j = d + 1 to o, which gives o = d + 46.\n5. Substitute d = w + 20 to o, which gives o = w + 66.\n6. Substitute w = 3 to o, which gives o = 69.\n\nThus, the final answer is o = \\boxed{69}.",
"index": 22121,
"question": "Consider a system of variables where each variable is defined as follows: h = p + 6; d = w + 20; x = j + 20; j = d + 1; b = w + 14; s = n + 11; w = 3; o = h + 3; k = y + 19; c = k + 11; p = x + 16; n = c + 17; y = b + 3. If w = 3, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"e": "r + 2", "w": "e + 15", "t": "w + 12", "z": "t + 11", "d": "z + 15", "s": "d + 18", "g": "r + 2", "f": "g + 17", "a": "f + 13", "c": "a + 11", "i": "c + 18", "n": "i + 1", "r": 17}, "premises": {"r": 17}, "target": "s"}, "answer": {"steps": [["d", "z + 15", "z + 33"], ["z", "t + 11", "t + 44"], ["t", "w + 12", "w + 56"], ["w", "e + 15", "e + 71"], ["e", "r + 2", "r + 73"], ["r", 17, "90"]], "target_var_name": "s", "target_value": 90, "value_dict": {"r": 17}, "is_reverse": true}} | 22,122 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = a + 11; t = w + 12; i = c + 18; z = t + 11; w = e + 15; r = 17; n = i + 1; s = d + 18; d = z + 15; e = r + 2; f = g + 17; g = r + 2; a = f + 13. If r = 17, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = z + 15 to s, which gives s = z + 33.\n2. Substitute z = t + 11 to s, which gives s = t + 44.\n3. Substitute t = w + 12 to s, which gives s = w + 56.\n4. Substitute w = e + 15 to s, which gives s = e + 71.\n5. Substitute e = r + 2 to s, which gives s = r + 73.\n6. Substitute r = 17 to s, which gives s = 90.\n\nThus, the final answer is s = \\boxed{90}.",
"index": 22122,
"question": "Consider a system of variables where each variable is defined as follows: c = a + 11; t = w + 12; i = c + 18; z = t + 11; w = e + 15; r = 17; n = i + 1; s = d + 18; d = z + 15; e = r + 2; f = g + 17; g = r + 2; a = f + 13. If r = 17, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"r": "z + 19", "a": "r + 12", "b": "a + 16", "d": "b + 20", "e": "d + 5", "p": "e + 16", "y": "z + 8", "m": "y + 9", "u": "m + 20", "i": "u + 2", "s": "i + 10", "n": "s + 1", "z": 20}, "premises": {"z": 20}, "target": "p"}, "answer": {"steps": [["e", "d + 5", "d + 21"], ["d", "b + 20", "b + 41"], ["b", "a + 16", "a + 57"], ["a", "r + 12", "r + 69"], ["r", "z + 19", "z + 88"], ["z", 20, "108"]], "target_var_name": "p", "target_value": 108, "value_dict": {"z": 20}, "is_reverse": true}} | 22,123 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = i + 10; i = u + 2; z = 20; a = r + 12; b = a + 16; r = z + 19; m = y + 9; n = s + 1; d = b + 20; u = m + 20; p = e + 16; y = z + 8; e = d + 5. Given that z = 20, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 108,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = d + 5 to p, which gives p = d + 21.\n2. Substitute d = b + 20 to p, which gives p = b + 41.\n3. Substitute b = a + 16 to p, which gives p = a + 57.\n4. Substitute a = r + 12 to p, which gives p = r + 69.\n5. Substitute r = z + 19 to p, which gives p = z + 88.\n6. Substitute z = 20 to p, which gives p = 108.\n\nThus, the final answer is p = \\boxed{108}.",
"index": 22123,
"question": "Suppose a collection of variables is related by the following definitions: s = i + 10; i = u + 2; z = 20; a = r + 12; b = a + 16; r = z + 19; m = y + 9; n = s + 1; d = b + 20; u = m + 20; p = e + 16; y = z + 8; e = d + 5. Given that z = 20, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"q": "s + 12", "l": "q + 9", "n": "l + 11", "t": "n + 14", "v": "t + 7", "z": "v + 3", "g": "s + 13", "y": "g + 18", "w": "y + 8", "b": "w + 7", "r": "b + 7", "m": "r + 14", "s": 11}, "premises": {"s": 11}, "target": "z"}, "answer": {"steps": [["v", "t + 7", "t + 10"], ["t", "n + 14", "n + 24"], ["n", "l + 11", "l + 35"], ["l", "q + 9", "q + 44"], ["q", "s + 12", "s + 56"], ["s", 11, "67"]], "target_var_name": "z", "target_value": 67, "value_dict": {"s": 11}, "is_reverse": true}} | 22,124 | 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 = 11; g = s + 13; y = g + 18; t = n + 14; r = b + 7; l = q + 9; m = r + 14; b = w + 7; w = y + 8; v = t + 7; z = v + 3; q = s + 12; n = l + 11. If s = 11, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = t + 7 to z, which gives z = t + 10.\n2. Substitute t = n + 14 to z, which gives z = n + 24.\n3. Substitute n = l + 11 to z, which gives z = l + 35.\n4. Substitute l = q + 9 to z, which gives z = q + 44.\n5. Substitute q = s + 12 to z, which gives z = s + 56.\n6. Substitute s = 11 to z, which gives z = 67.\n\nThus, the final answer is z = \\boxed{67}.",
"index": 22124,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = 11; g = s + 13; y = g + 18; t = n + 14; r = b + 7; l = q + 9; m = r + 14; b = w + 7; w = y + 8; v = t + 7; z = v + 3; q = s + 12; n = l + 11. If s = 11, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"h": "z + 16", "f": "h + 19", "v": "f + 16", "w": "v + 1", "m": "w + 13", "x": "m + 9", "t": "z + 14", "e": "t + 1", "o": "e + 13", "u": "o + 1", "g": "u + 20", "k": "g + 14", "z": 15}, "premises": {"z": 15}, "target": "x"}, "answer": {"steps": [["m", "w + 13", "w + 22"], ["w", "v + 1", "v + 23"], ["v", "f + 16", "f + 39"], ["f", "h + 19", "h + 58"], ["h", "z + 16", "z + 74"], ["z", 15, "89"]], "target_var_name": "x", "target_value": 89, "value_dict": {"z": 15}, "is_reverse": true}} | 22,125 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = w + 13; e = t + 1; u = o + 1; v = f + 16; k = g + 14; g = u + 20; x = m + 9; z = 15; f = h + 19; h = z + 16; o = e + 13; w = v + 1; t = z + 14. If z = 15, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = w + 13 to x, which gives x = w + 22.\n2. Substitute w = v + 1 to x, which gives x = v + 23.\n3. Substitute v = f + 16 to x, which gives x = f + 39.\n4. Substitute f = h + 19 to x, which gives x = h + 58.\n5. Substitute h = z + 16 to x, which gives x = z + 74.\n6. Substitute z = 15 to x, which gives x = 89.\n\nThus, the final answer is x = \\boxed{89}.",
"index": 22125,
"question": "Consider a system of variables where each variable is defined as follows: m = w + 13; e = t + 1; u = o + 1; v = f + 16; k = g + 14; g = u + 20; x = m + 9; z = 15; f = h + 19; h = z + 16; o = e + 13; w = v + 1; t = z + 14. If z = 15, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"s": "v + 8", "r": "s + 5", "u": "r + 8", "d": "u + 16", "q": "d + 10", "y": "q + 17", "i": "v + 12", "o": "i + 11", "m": "o + 14", "w": "m + 10", "h": "w + 15", "j": "h + 10", "v": 14}, "premises": {"v": 14}, "target": "y"}, "answer": {"steps": [["q", "d + 10", "d + 27"], ["d", "u + 16", "u + 43"], ["u", "r + 8", "r + 51"], ["r", "s + 5", "s + 56"], ["s", "v + 8", "v + 64"], ["v", 14, "78"]], "target_var_name": "y", "target_value": 78, "value_dict": {"v": 14}, "is_reverse": true}} | 22,126 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = v + 8; y = q + 17; q = d + 10; d = u + 16; m = o + 14; h = w + 15; r = s + 5; i = v + 12; v = 14; w = m + 10; j = h + 10; o = i + 11; u = r + 8. If v = 14, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = d + 10 to y, which gives y = d + 27.\n2. Substitute d = u + 16 to y, which gives y = u + 43.\n3. Substitute u = r + 8 to y, which gives y = r + 51.\n4. Substitute r = s + 5 to y, which gives y = s + 56.\n5. Substitute s = v + 8 to y, which gives y = v + 64.\n6. Substitute v = 14 to y, which gives y = 78.\n\nThus, the final answer is y = \\boxed{78}.",
"index": 22126,
"question": "Consider a system of variables where each variable is defined as follows: s = v + 8; y = q + 17; q = d + 10; d = u + 16; m = o + 14; h = w + 15; r = s + 5; i = v + 12; v = 14; w = m + 10; j = h + 10; o = i + 11; u = r + 8. If v = 14, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"s": "c + 15", "d": "s + 4", "e": "d + 7", "x": "e + 16", "g": "x + 19", "m": "g + 1", "n": "c + 8", "r": "n + 2", "v": "r + 2", "z": "v + 1", "t": "z + 17", "b": "t + 19", "c": 9}, "premises": {"c": 9}, "target": "m"}, "answer": {"steps": [["g", "x + 19", "x + 20"], ["x", "e + 16", "e + 36"], ["e", "d + 7", "d + 43"], ["d", "s + 4", "s + 47"], ["s", "c + 15", "c + 62"], ["c", 9, "71"]], "target_var_name": "m", "target_value": 71, "value_dict": {"c": 9}, "is_reverse": true}} | 22,127 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = v + 1; x = e + 16; m = g + 1; n = c + 8; r = n + 2; s = c + 15; e = d + 7; v = r + 2; g = x + 19; c = 9; b = t + 19; d = s + 4; t = z + 17. Given that c = 9, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = x + 19 to m, which gives m = x + 20.\n2. Substitute x = e + 16 to m, which gives m = e + 36.\n3. Substitute e = d + 7 to m, which gives m = d + 43.\n4. Substitute d = s + 4 to m, which gives m = s + 47.\n5. Substitute s = c + 15 to m, which gives m = c + 62.\n6. Substitute c = 9 to m, which gives m = 71.\n\nThus, the final answer is m = \\boxed{71}.",
"index": 22127,
"question": "Suppose a collection of variables is related by the following definitions: z = v + 1; x = e + 16; m = g + 1; n = c + 8; r = n + 2; s = c + 15; e = d + 7; v = r + 2; g = x + 19; c = 9; b = t + 19; d = s + 4; t = z + 17. Given that c = 9, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"o": "w + 8", "c": "o + 18", "z": "c + 2", "b": "z + 10", "k": "b + 13", "f": "k + 13", "q": "w + 20", "h": "q + 5", "g": "h + 13", "y": "g + 11", "m": "y + 4", "u": "m + 3", "w": 20}, "premises": {"w": 20}, "target": "f"}, "answer": {"steps": [["k", "b + 13", "b + 26"], ["b", "z + 10", "z + 36"], ["z", "c + 2", "c + 38"], ["c", "o + 18", "o + 56"], ["o", "w + 8", "w + 64"], ["w", 20, "84"]], "target_var_name": "f", "target_value": 84, "value_dict": {"w": 20}, "is_reverse": true}} | 22,128 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = m + 3; q = w + 20; w = 20; h = q + 5; m = y + 4; z = c + 2; b = z + 10; y = g + 11; g = h + 13; o = w + 8; f = k + 13; c = o + 18; k = b + 13. If w = 20, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = b + 13 to f, which gives f = b + 26.\n2. Substitute b = z + 10 to f, which gives f = z + 36.\n3. Substitute z = c + 2 to f, which gives f = c + 38.\n4. Substitute c = o + 18 to f, which gives f = o + 56.\n5. Substitute o = w + 8 to f, which gives f = w + 64.\n6. Substitute w = 20 to f, which gives f = 84.\n\nThus, the final answer is f = \\boxed{84}.",
"index": 22128,
"question": "Consider a system of variables where each variable is defined as follows: u = m + 3; q = w + 20; w = 20; h = q + 5; m = y + 4; z = c + 2; b = z + 10; y = g + 11; g = h + 13; o = w + 8; f = k + 13; c = o + 18; k = b + 13. If w = 20, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"q": "w + 14", "j": "q + 15", "c": "j + 6", "m": "c + 12", "o": "m + 12", "p": "o + 17", "k": "w + 18", "n": "k + 18", "h": "n + 8", "y": "h + 2", "a": "y + 1", "b": "a + 5", "w": 2}, "premises": {"w": 2}, "target": "p"}, "answer": {"steps": [["o", "m + 12", "m + 29"], ["m", "c + 12", "c + 41"], ["c", "j + 6", "j + 47"], ["j", "q + 15", "q + 62"], ["q", "w + 14", "w + 76"], ["w", 2, "78"]], "target_var_name": "p", "target_value": 78, "value_dict": {"w": 2}, "is_reverse": true}} | 22,129 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = 2; p = o + 17; a = y + 1; o = m + 12; y = h + 2; q = w + 14; m = c + 12; c = j + 6; j = q + 15; n = k + 18; h = n + 8; b = a + 5; k = w + 18. If w = 2, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = m + 12 to p, which gives p = m + 29.\n2. Substitute m = c + 12 to p, which gives p = c + 41.\n3. Substitute c = j + 6 to p, which gives p = j + 47.\n4. Substitute j = q + 15 to p, which gives p = q + 62.\n5. Substitute q = w + 14 to p, which gives p = w + 76.\n6. Substitute w = 2 to p, which gives p = 78.\n\nThus, the final answer is p = \\boxed{78}.",
"index": 22129,
"question": "Consider a system of variables where each variable is defined as follows: w = 2; p = o + 17; a = y + 1; o = m + 12; y = h + 2; q = w + 14; m = c + 12; c = j + 6; j = q + 15; n = k + 18; h = n + 8; b = a + 5; k = w + 18. If w = 2, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"m": "p + 4", "k": "m + 13", "i": "k + 7", "f": "i + 8", "z": "f + 13", "a": "z + 1", "u": "p + 6", "e": "u + 12", "d": "e + 15", "n": "d + 2", "c": "n + 2", "b": "c + 7", "p": 1}, "premises": {"p": 1}, "target": "a"}, "answer": {"steps": [["z", "f + 13", "f + 14"], ["f", "i + 8", "i + 22"], ["i", "k + 7", "k + 29"], ["k", "m + 13", "m + 42"], ["m", "p + 4", "p + 46"], ["p", 1, "47"]], "target_var_name": "a", "target_value": 47, "value_dict": {"p": 1}, "is_reverse": true}} | 22,130 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = e + 15; z = f + 13; m = p + 4; b = c + 7; c = n + 2; n = d + 2; u = p + 6; a = z + 1; e = u + 12; k = m + 13; f = i + 8; p = 1; i = k + 7. Given that p = 1, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = f + 13 to a, which gives a = f + 14.\n2. Substitute f = i + 8 to a, which gives a = i + 22.\n3. Substitute i = k + 7 to a, which gives a = k + 29.\n4. Substitute k = m + 13 to a, which gives a = m + 42.\n5. Substitute m = p + 4 to a, which gives a = p + 46.\n6. Substitute p = 1 to a, which gives a = 47.\n\nThus, the final answer is a = \\boxed{47}.",
"index": 22130,
"question": "Suppose a collection of variables is related by the following definitions: d = e + 15; z = f + 13; m = p + 4; b = c + 7; c = n + 2; n = d + 2; u = p + 6; a = z + 1; e = u + 12; k = m + 13; f = i + 8; p = 1; i = k + 7. Given that p = 1, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"h": "g + 9", "l": "h + 7", "j": "l + 6", "n": "j + 20", "t": "n + 12", "e": "t + 3", "p": "g + 2", "q": "p + 14", "y": "q + 20", "f": "y + 8", "z": "f + 1", "r": "z + 11", "g": 8}, "premises": {"g": 8}, "target": "e"}, "answer": {"steps": [["t", "n + 12", "n + 15"], ["n", "j + 20", "j + 35"], ["j", "l + 6", "l + 41"], ["l", "h + 7", "h + 48"], ["h", "g + 9", "g + 57"], ["g", 8, "65"]], "target_var_name": "e", "target_value": 65, "value_dict": {"g": 8}, "is_reverse": true}} | 22,131 | 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 + 8; g = 8; l = h + 7; z = f + 1; p = g + 2; q = p + 14; e = t + 3; t = n + 12; y = q + 20; n = j + 20; j = l + 6; r = z + 11; h = g + 9. If g = 8, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = n + 12 to e, which gives e = n + 15.\n2. Substitute n = j + 20 to e, which gives e = j + 35.\n3. Substitute j = l + 6 to e, which gives e = l + 41.\n4. Substitute l = h + 7 to e, which gives e = h + 48.\n5. Substitute h = g + 9 to e, which gives e = g + 57.\n6. Substitute g = 8 to e, which gives e = 65.\n\nThus, the final answer is e = \\boxed{65}.",
"index": 22131,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = y + 8; g = 8; l = h + 7; z = f + 1; p = g + 2; q = p + 14; e = t + 3; t = n + 12; y = q + 20; n = j + 20; j = l + 6; r = z + 11; h = g + 9. If g = 8, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"j": "s + 11", "v": "j + 5", "w": "v + 5", "x": "w + 20", "r": "x + 20", "h": "r + 10", "n": "s + 16", "t": "n + 6", "e": "t + 8", "k": "e + 6", "f": "k + 3", "z": "f + 13", "s": 19}, "premises": {"s": 19}, "target": "h"}, "answer": {"steps": [["r", "x + 20", "x + 30"], ["x", "w + 20", "w + 50"], ["w", "v + 5", "v + 55"], ["v", "j + 5", "j + 60"], ["j", "s + 11", "s + 71"], ["s", 19, "90"]], "target_var_name": "h", "target_value": 90, "value_dict": {"s": 19}, "is_reverse": true}} | 22,132 | 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; v = j + 5; j = s + 11; k = e + 6; x = w + 20; n = s + 16; z = f + 13; r = x + 20; e = t + 8; f = k + 3; t = n + 6; w = v + 5; h = r + 10. If s = 19, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = x + 20 to h, which gives h = x + 30.\n2. Substitute x = w + 20 to h, which gives h = w + 50.\n3. Substitute w = v + 5 to h, which gives h = v + 55.\n4. Substitute v = j + 5 to h, which gives h = j + 60.\n5. Substitute j = s + 11 to h, which gives h = s + 71.\n6. Substitute s = 19 to h, which gives h = 90.\n\nThus, the final answer is h = \\boxed{90}.",
"index": 22132,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = 19; v = j + 5; j = s + 11; k = e + 6; x = w + 20; n = s + 16; z = f + 13; r = x + 20; e = t + 8; f = k + 3; t = n + 6; w = v + 5; h = r + 10. If s = 19, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"s": "c + 9", "m": "s + 14", "q": "m + 16", "l": "q + 15", "j": "l + 20", "y": "j + 18", "f": "c + 13", "v": "f + 13", "h": "v + 5", "o": "h + 20", "k": "o + 17", "p": "k + 15", "c": 8}, "premises": {"c": 8}, "target": "y"}, "answer": {"steps": [["j", "l + 20", "l + 38"], ["l", "q + 15", "q + 53"], ["q", "m + 16", "m + 69"], ["m", "s + 14", "s + 83"], ["s", "c + 9", "c + 92"], ["c", 8, "100"]], "target_var_name": "y", "target_value": 100, "value_dict": {"c": 8}, "is_reverse": true}} | 22,133 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = c + 13; o = h + 20; p = k + 15; h = v + 5; c = 8; s = c + 9; k = o + 17; y = j + 18; q = m + 16; v = f + 13; l = q + 15; j = l + 20; m = s + 14. If c = 8, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = l + 20 to y, which gives y = l + 38.\n2. Substitute l = q + 15 to y, which gives y = q + 53.\n3. Substitute q = m + 16 to y, which gives y = m + 69.\n4. Substitute m = s + 14 to y, which gives y = s + 83.\n5. Substitute s = c + 9 to y, which gives y = c + 92.\n6. Substitute c = 8 to y, which gives y = 100.\n\nThus, the final answer is y = \\boxed{100}.",
"index": 22133,
"question": "Consider a system of variables where each variable is defined as follows: f = c + 13; o = h + 20; p = k + 15; h = v + 5; c = 8; s = c + 9; k = o + 17; y = j + 18; q = m + 16; v = f + 13; l = q + 15; j = l + 20; m = s + 14. If c = 8, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"d": "b + 15", "r": "d + 12", "e": "r + 13", "n": "e + 10", "p": "n + 16", "v": "p + 3", "x": "b + 17", "u": "x + 13", "y": "u + 13", "g": "y + 16", "w": "g + 10", "z": "w + 1", "b": 12}, "premises": {"b": 12}, "target": "v"}, "answer": {"steps": [["p", "n + 16", "n + 19"], ["n", "e + 10", "e + 29"], ["e", "r + 13", "r + 42"], ["r", "d + 12", "d + 54"], ["d", "b + 15", "b + 69"], ["b", 12, "81"]], "target_var_name": "v", "target_value": 81, "value_dict": {"b": 12}, "is_reverse": true}} | 22,134 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = g + 10; u = x + 13; x = b + 17; p = n + 16; d = b + 15; n = e + 10; b = 12; z = w + 1; g = y + 16; e = r + 13; y = u + 13; r = d + 12; v = p + 3. If b = 12, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = n + 16 to v, which gives v = n + 19.\n2. Substitute n = e + 10 to v, which gives v = e + 29.\n3. Substitute e = r + 13 to v, which gives v = r + 42.\n4. Substitute r = d + 12 to v, which gives v = d + 54.\n5. Substitute d = b + 15 to v, which gives v = b + 69.\n6. Substitute b = 12 to v, which gives v = 81.\n\nThus, the final answer is v = \\boxed{81}.",
"index": 22134,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = g + 10; u = x + 13; x = b + 17; p = n + 16; d = b + 15; n = e + 10; b = 12; z = w + 1; g = y + 16; e = r + 13; y = u + 13; r = d + 12; v = p + 3. If b = 12, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"r": "d + 13", "m": "r + 16", "e": "m + 19", "i": "e + 1", "k": "i + 20", "n": "k + 5", "g": "d + 7", "x": "g + 2", "f": "x + 17", "z": "f + 2", "a": "z + 11", "o": "a + 5", "d": 20}, "premises": {"d": 20}, "target": "n"}, "answer": {"steps": [["k", "i + 20", "i + 25"], ["i", "e + 1", "e + 26"], ["e", "m + 19", "m + 45"], ["m", "r + 16", "r + 61"], ["r", "d + 13", "d + 74"], ["d", 20, "94"]], "target_var_name": "n", "target_value": 94, "value_dict": {"d": 20}, "is_reverse": true}} | 22,135 | 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 = a + 5; e = m + 19; n = k + 5; r = d + 13; f = x + 17; i = e + 1; g = d + 7; k = i + 20; z = f + 2; d = 20; m = r + 16; a = z + 11; x = g + 2. If d = 20, what is the resulting 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 k = i + 20 to n, which gives n = i + 25.\n2. Substitute i = e + 1 to n, which gives n = e + 26.\n3. Substitute e = m + 19 to n, which gives n = m + 45.\n4. Substitute m = r + 16 to n, which gives n = r + 61.\n5. Substitute r = d + 13 to n, which gives n = d + 74.\n6. Substitute d = 20 to n, which gives n = 94.\n\nThus, the final answer is n = \\boxed{94}.",
"index": 22135,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = a + 5; e = m + 19; n = k + 5; r = d + 13; f = x + 17; i = e + 1; g = d + 7; k = i + 20; z = f + 2; d = 20; m = r + 16; a = z + 11; x = g + 2. If d = 20, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"j": "y + 5", "f": "j + 5", "n": "f + 9", "k": "n + 9", "b": "k + 13", "l": "b + 18", "d": "y + 8", "m": "d + 1", "z": "m + 7", "q": "z + 8", "h": "q + 17", "i": "h + 3", "y": 13}, "premises": {"y": 13}, "target": "l"}, "answer": {"steps": [["b", "k + 13", "k + 31"], ["k", "n + 9", "n + 40"], ["n", "f + 9", "f + 49"], ["f", "j + 5", "j + 54"], ["j", "y + 5", "y + 59"], ["y", 13, "72"]], "target_var_name": "l", "target_value": 72, "value_dict": {"y": 13}, "is_reverse": true}} | 22,136 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = b + 18; f = j + 5; b = k + 13; n = f + 9; m = d + 1; q = z + 8; z = m + 7; j = y + 5; i = h + 3; h = q + 17; k = n + 9; y = 13; d = y + 8. If y = 13, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = k + 13 to l, which gives l = k + 31.\n2. Substitute k = n + 9 to l, which gives l = n + 40.\n3. Substitute n = f + 9 to l, which gives l = f + 49.\n4. Substitute f = j + 5 to l, which gives l = j + 54.\n5. Substitute j = y + 5 to l, which gives l = y + 59.\n6. Substitute y = 13 to l, which gives l = 72.\n\nThus, the final answer is l = \\boxed{72}.",
"index": 22136,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = b + 18; f = j + 5; b = k + 13; n = f + 9; m = d + 1; q = z + 8; z = m + 7; j = y + 5; i = h + 3; h = q + 17; k = n + 9; y = 13; d = y + 8. If y = 13, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"a": "g + 17", "i": "a + 10", "w": "i + 13", "v": "w + 17", "o": "v + 10", "k": "o + 13", "p": "g + 20", "q": "p + 1", "b": "q + 14", "d": "b + 8", "m": "d + 20", "h": "m + 11", "g": 20}, "premises": {"g": 20}, "target": "k"}, "answer": {"steps": [["o", "v + 10", "v + 23"], ["v", "w + 17", "w + 40"], ["w", "i + 13", "i + 53"], ["i", "a + 10", "a + 63"], ["a", "g + 17", "g + 80"], ["g", 20, "100"]], "target_var_name": "k", "target_value": 100, "value_dict": {"g": 20}, "is_reverse": true}} | 22,137 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = q + 14; q = p + 1; a = g + 17; k = o + 13; d = b + 8; g = 20; v = w + 17; h = m + 11; i = a + 10; p = g + 20; w = i + 13; m = d + 20; o = v + 10. If g = 20, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = v + 10 to k, which gives k = v + 23.\n2. Substitute v = w + 17 to k, which gives k = w + 40.\n3. Substitute w = i + 13 to k, which gives k = i + 53.\n4. Substitute i = a + 10 to k, which gives k = a + 63.\n5. Substitute a = g + 17 to k, which gives k = g + 80.\n6. Substitute g = 20 to k, which gives k = 100.\n\nThus, the final answer is k = \\boxed{100}.",
"index": 22137,
"question": "Consider a system of variables where each variable is defined as follows: b = q + 14; q = p + 1; a = g + 17; k = o + 13; d = b + 8; g = 20; v = w + 17; h = m + 11; i = a + 10; p = g + 20; w = i + 13; m = d + 20; o = v + 10. If g = 20, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"j": "g + 8", "p": "j + 17", "o": "p + 9", "z": "o + 20", "i": "z + 10", "h": "i + 16", "u": "g + 20", "w": "u + 11", "s": "w + 14", "y": "s + 20", "m": "y + 6", "e": "m + 10", "g": 8}, "premises": {"g": 8}, "target": "h"}, "answer": {"steps": [["i", "z + 10", "z + 26"], ["z", "o + 20", "o + 46"], ["o", "p + 9", "p + 55"], ["p", "j + 17", "j + 72"], ["j", "g + 8", "g + 80"], ["g", 8, "88"]], "target_var_name": "h", "target_value": 88, "value_dict": {"g": 8}, "is_reverse": true}} | 22,138 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = z + 10; p = j + 17; u = g + 20; j = g + 8; z = o + 20; g = 8; m = y + 6; s = w + 14; w = u + 11; y = s + 20; o = p + 9; e = m + 10; h = i + 16. If g = 8, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = z + 10 to h, which gives h = z + 26.\n2. Substitute z = o + 20 to h, which gives h = o + 46.\n3. Substitute o = p + 9 to h, which gives h = p + 55.\n4. Substitute p = j + 17 to h, which gives h = j + 72.\n5. Substitute j = g + 8 to h, which gives h = g + 80.\n6. Substitute g = 8 to h, which gives h = 88.\n\nThus, the final answer is h = \\boxed{88}.",
"index": 22138,
"question": "Consider a system of variables where each variable is defined as follows: i = z + 10; p = j + 17; u = g + 20; j = g + 8; z = o + 20; g = 8; m = y + 6; s = w + 14; w = u + 11; y = s + 20; o = p + 9; e = m + 10; h = i + 16. If g = 8, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"s": "j + 1", "b": "s + 16", "t": "b + 6", "l": "t + 19", "v": "l + 12", "q": "v + 18", "w": "j + 16", "m": "w + 10", "r": "m + 18", "z": "r + 4", "u": "z + 2", "d": "u + 4", "j": 12}, "premises": {"j": 12}, "target": "q"}, "answer": {"steps": [["v", "l + 12", "l + 30"], ["l", "t + 19", "t + 49"], ["t", "b + 6", "b + 55"], ["b", "s + 16", "s + 71"], ["s", "j + 1", "j + 72"], ["j", 12, "84"]], "target_var_name": "q", "target_value": 84, "value_dict": {"j": 12}, "is_reverse": true}} | 22,139 | 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 + 16; r = m + 18; m = w + 10; j = 12; s = j + 1; u = z + 2; d = u + 4; l = t + 19; t = b + 6; q = v + 18; b = s + 16; v = l + 12; z = r + 4. If j = 12, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = l + 12 to q, which gives q = l + 30.\n2. Substitute l = t + 19 to q, which gives q = t + 49.\n3. Substitute t = b + 6 to q, which gives q = b + 55.\n4. Substitute b = s + 16 to q, which gives q = s + 71.\n5. Substitute s = j + 1 to q, which gives q = j + 72.\n6. Substitute j = 12 to q, which gives q = 84.\n\nThus, the final answer is q = \\boxed{84}.",
"index": 22139,
"question": "Consider a system of variables where each variable is defined as follows: w = j + 16; r = m + 18; m = w + 10; j = 12; s = j + 1; u = z + 2; d = u + 4; l = t + 19; t = b + 6; q = v + 18; b = s + 16; v = l + 12; z = r + 4. If j = 12, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"j": "b + 8", "z": "j + 8", "k": "z + 8", "a": "k + 5", "x": "a + 9", "e": "x + 8", "u": "b + 15", "c": "u + 14", "f": "c + 17", "p": "f + 9", "v": "p + 10", "m": "v + 4", "b": 8}, "premises": {"b": 8}, "target": "e"}, "answer": {"steps": [["x", "a + 9", "a + 17"], ["a", "k + 5", "k + 22"], ["k", "z + 8", "z + 30"], ["z", "j + 8", "j + 38"], ["j", "b + 8", "b + 46"], ["b", 8, "54"]], "target_var_name": "e", "target_value": 54, "value_dict": {"b": 8}, "is_reverse": true}} | 22,140 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = j + 8; e = x + 8; a = k + 5; f = c + 17; k = z + 8; b = 8; u = b + 15; m = v + 4; p = f + 9; x = a + 9; v = p + 10; c = u + 14; j = b + 8. If b = 8, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = a + 9 to e, which gives e = a + 17.\n2. Substitute a = k + 5 to e, which gives e = k + 22.\n3. Substitute k = z + 8 to e, which gives e = z + 30.\n4. Substitute z = j + 8 to e, which gives e = j + 38.\n5. Substitute j = b + 8 to e, which gives e = b + 46.\n6. Substitute b = 8 to e, which gives e = 54.\n\nThus, the final answer is e = \\boxed{54}.",
"index": 22140,
"question": "Consider a system of variables where each variable is defined as follows: z = j + 8; e = x + 8; a = k + 5; f = c + 17; k = z + 8; b = 8; u = b + 15; m = v + 4; p = f + 9; x = a + 9; v = p + 10; c = u + 14; j = b + 8. If b = 8, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"o": "t + 20", "e": "o + 4", "f": "e + 14", "b": "f + 8", "w": "b + 13", "g": "w + 10", "k": "t + 9", "d": "k + 13", "z": "d + 15", "a": "z + 15", "l": "a + 12", "j": "l + 20", "t": 11}, "premises": {"t": 11}, "target": "g"}, "answer": {"steps": [["w", "b + 13", "b + 23"], ["b", "f + 8", "f + 31"], ["f", "e + 14", "e + 45"], ["e", "o + 4", "o + 49"], ["o", "t + 20", "t + 69"], ["t", 11, "80"]], "target_var_name": "g", "target_value": 80, "value_dict": {"t": 11}, "is_reverse": true}} | 22,141 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = 11; w = b + 13; j = l + 20; g = w + 10; d = k + 13; e = o + 4; l = a + 12; z = d + 15; k = t + 9; o = t + 20; a = z + 15; f = e + 14; b = f + 8. Given that t = 11, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = b + 13 to g, which gives g = b + 23.\n2. Substitute b = f + 8 to g, which gives g = f + 31.\n3. Substitute f = e + 14 to g, which gives g = e + 45.\n4. Substitute e = o + 4 to g, which gives g = o + 49.\n5. Substitute o = t + 20 to g, which gives g = t + 69.\n6. Substitute t = 11 to g, which gives g = 80.\n\nThus, the final answer is g = \\boxed{80}.",
"index": 22141,
"question": "Suppose a collection of variables is related by the following definitions: t = 11; w = b + 13; j = l + 20; g = w + 10; d = k + 13; e = o + 4; l = a + 12; z = d + 15; k = t + 9; o = t + 20; a = z + 15; f = e + 14; b = f + 8. Given that t = 11, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"c": "n + 19", "z": "c + 1", "y": "z + 12", "t": "y + 5", "f": "t + 11", "x": "f + 2", "d": "n + 9", "e": "d + 3", "k": "e + 9", "b": "k + 5", "p": "b + 8", "r": "p + 17", "n": 17}, "premises": {"n": 17}, "target": "x"}, "answer": {"steps": [["f", "t + 11", "t + 13"], ["t", "y + 5", "y + 18"], ["y", "z + 12", "z + 30"], ["z", "c + 1", "c + 31"], ["c", "n + 19", "n + 50"], ["n", 17, "67"]], "target_var_name": "x", "target_value": 67, "value_dict": {"n": 17}, "is_reverse": true}} | 22,142 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = b + 8; b = k + 5; f = t + 11; y = z + 12; e = d + 3; r = p + 17; d = n + 9; c = n + 19; z = c + 1; x = f + 2; n = 17; k = e + 9; t = y + 5. If n = 17, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = t + 11 to x, which gives x = t + 13.\n2. Substitute t = y + 5 to x, which gives x = y + 18.\n3. Substitute y = z + 12 to x, which gives x = z + 30.\n4. Substitute z = c + 1 to x, which gives x = c + 31.\n5. Substitute c = n + 19 to x, which gives x = n + 50.\n6. Substitute n = 17 to x, which gives x = 67.\n\nThus, the final answer is x = \\boxed{67}.",
"index": 22142,
"question": "Consider a system of variables where each variable is defined as follows: p = b + 8; b = k + 5; f = t + 11; y = z + 12; e = d + 3; r = p + 17; d = n + 9; c = n + 19; z = c + 1; x = f + 2; n = 17; k = e + 9; t = y + 5. If n = 17, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"h": "q + 12", "m": "h + 2", "t": "m + 16", "y": "t + 15", "n": "y + 15", "x": "n + 1", "b": "q + 12", "o": "b + 15", "l": "o + 4", "r": "l + 18", "f": "r + 8", "e": "f + 14", "q": 2}, "premises": {"q": 2}, "target": "x"}, "answer": {"steps": [["n", "y + 15", "y + 16"], ["y", "t + 15", "t + 31"], ["t", "m + 16", "m + 47"], ["m", "h + 2", "h + 49"], ["h", "q + 12", "q + 61"], ["q", 2, "63"]], "target_var_name": "x", "target_value": 63, "value_dict": {"q": 2}, "is_reverse": true}} | 22,143 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = n + 1; r = l + 18; f = r + 8; y = t + 15; e = f + 14; q = 2; l = o + 4; b = q + 12; o = b + 15; n = y + 15; m = h + 2; h = q + 12; t = m + 16. If q = 2, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = y + 15 to x, which gives x = y + 16.\n2. Substitute y = t + 15 to x, which gives x = t + 31.\n3. Substitute t = m + 16 to x, which gives x = m + 47.\n4. Substitute m = h + 2 to x, which gives x = h + 49.\n5. Substitute h = q + 12 to x, which gives x = q + 61.\n6. Substitute q = 2 to x, which gives x = 63.\n\nThus, the final answer is x = \\boxed{63}.",
"index": 22143,
"question": "Consider a system of variables where each variable is defined as follows: x = n + 1; r = l + 18; f = r + 8; y = t + 15; e = f + 14; q = 2; l = o + 4; b = q + 12; o = b + 15; n = y + 15; m = h + 2; h = q + 12; t = m + 16. If q = 2, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"n": "l + 20", "t": "n + 8", "k": "t + 19", "d": "k + 17", "u": "d + 4", "w": "u + 5", "o": "l + 20", "c": "o + 8", "e": "c + 15", "g": "e + 19", "h": "g + 18", "j": "h + 7", "l": 15}, "premises": {"l": 15}, "target": "w"}, "answer": {"steps": [["u", "d + 4", "d + 9"], ["d", "k + 17", "k + 26"], ["k", "t + 19", "t + 45"], ["t", "n + 8", "n + 53"], ["n", "l + 20", "l + 73"], ["l", 15, "88"]], "target_var_name": "w", "target_value": 88, "value_dict": {"l": 15}, "is_reverse": true}} | 22,144 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = c + 15; c = o + 8; o = l + 20; k = t + 19; g = e + 19; n = l + 20; h = g + 18; w = u + 5; t = n + 8; j = h + 7; l = 15; d = k + 17; u = d + 4. Given that l = 15, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = d + 4 to w, which gives w = d + 9.\n2. Substitute d = k + 17 to w, which gives w = k + 26.\n3. Substitute k = t + 19 to w, which gives w = t + 45.\n4. Substitute t = n + 8 to w, which gives w = n + 53.\n5. Substitute n = l + 20 to w, which gives w = l + 73.\n6. Substitute l = 15 to w, which gives w = 88.\n\nThus, the final answer is w = \\boxed{88}.",
"index": 22144,
"question": "Suppose a collection of variables is related by the following definitions: e = c + 15; c = o + 8; o = l + 20; k = t + 19; g = e + 19; n = l + 20; h = g + 18; w = u + 5; t = n + 8; j = h + 7; l = 15; d = k + 17; u = d + 4. Given that l = 15, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"p": "j + 8", "c": "p + 11", "v": "c + 18", "n": "v + 11", "l": "n + 10", "g": "l + 20", "i": "j + 20", "x": "i + 2", "a": "x + 20", "u": "a + 1", "d": "u + 14", "r": "d + 3", "j": 17}, "premises": {"j": 17}, "target": "g"}, "answer": {"steps": [["l", "n + 10", "n + 30"], ["n", "v + 11", "v + 41"], ["v", "c + 18", "c + 59"], ["c", "p + 11", "p + 70"], ["p", "j + 8", "j + 78"], ["j", 17, "95"]], "target_var_name": "g", "target_value": 95, "value_dict": {"j": 17}, "is_reverse": true}} | 22,145 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = c + 18; l = n + 10; n = v + 11; i = j + 20; g = l + 20; u = a + 1; a = x + 20; c = p + 11; r = d + 3; p = j + 8; d = u + 14; x = i + 2; j = 17. Given that j = 17, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = n + 10 to g, which gives g = n + 30.\n2. Substitute n = v + 11 to g, which gives g = v + 41.\n3. Substitute v = c + 18 to g, which gives g = c + 59.\n4. Substitute c = p + 11 to g, which gives g = p + 70.\n5. Substitute p = j + 8 to g, which gives g = j + 78.\n6. Substitute j = 17 to g, which gives g = 95.\n\nThus, the final answer is g = \\boxed{95}.",
"index": 22145,
"question": "Suppose a collection of variables is related by the following definitions: v = c + 18; l = n + 10; n = v + 11; i = j + 20; g = l + 20; u = a + 1; a = x + 20; c = p + 11; r = d + 3; p = j + 8; d = u + 14; x = i + 2; j = 17. Given that j = 17, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"a": "j + 6", "t": "a + 6", "w": "t + 3", "i": "w + 11", "b": "i + 12", "z": "b + 5", "r": "j + 18", "h": "r + 10", "v": "h + 9", "n": "v + 3", "k": "n + 11", "g": "k + 8", "j": 8}, "premises": {"j": 8}, "target": "z"}, "answer": {"steps": [["b", "i + 12", "i + 17"], ["i", "w + 11", "w + 28"], ["w", "t + 3", "t + 31"], ["t", "a + 6", "a + 37"], ["a", "j + 6", "j + 43"], ["j", 8, "51"]], "target_var_name": "z", "target_value": 51, "value_dict": {"j": 8}, "is_reverse": true}} | 22,146 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = k + 8; k = n + 11; z = b + 5; n = v + 3; t = a + 6; b = i + 12; j = 8; w = t + 3; r = j + 18; v = h + 9; a = j + 6; i = w + 11; h = r + 10. If j = 8, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = i + 12 to z, which gives z = i + 17.\n2. Substitute i = w + 11 to z, which gives z = w + 28.\n3. Substitute w = t + 3 to z, which gives z = t + 31.\n4. Substitute t = a + 6 to z, which gives z = a + 37.\n5. Substitute a = j + 6 to z, which gives z = j + 43.\n6. Substitute j = 8 to z, which gives z = 51.\n\nThus, the final answer is z = \\boxed{51}.",
"index": 22146,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = k + 8; k = n + 11; z = b + 5; n = v + 3; t = a + 6; b = i + 12; j = 8; w = t + 3; r = j + 18; v = h + 9; a = j + 6; i = w + 11; h = r + 10. If j = 8, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"t": "g + 19", "z": "t + 14", "n": "z + 4", "b": "n + 1", "j": "b + 13", "p": "j + 17", "v": "g + 7", "i": "v + 2", "s": "i + 15", "w": "s + 16", "x": "w + 2", "u": "x + 18", "g": 19}, "premises": {"g": 19}, "target": "p"}, "answer": {"steps": [["j", "b + 13", "b + 30"], ["b", "n + 1", "n + 31"], ["n", "z + 4", "z + 35"], ["z", "t + 14", "t + 49"], ["t", "g + 19", "g + 68"], ["g", 19, "87"]], "target_var_name": "p", "target_value": 87, "value_dict": {"g": 19}, "is_reverse": true}} | 22,147 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = z + 4; w = s + 16; g = 19; i = v + 2; x = w + 2; b = n + 1; z = t + 14; p = j + 17; t = g + 19; u = x + 18; j = b + 13; s = i + 15; v = g + 7. If g = 19, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = b + 13 to p, which gives p = b + 30.\n2. Substitute b = n + 1 to p, which gives p = n + 31.\n3. Substitute n = z + 4 to p, which gives p = z + 35.\n4. Substitute z = t + 14 to p, which gives p = t + 49.\n5. Substitute t = g + 19 to p, which gives p = g + 68.\n6. Substitute g = 19 to p, which gives p = 87.\n\nThus, the final answer is p = \\boxed{87}.",
"index": 22147,
"question": "Consider a system of variables where each variable is defined as follows: n = z + 4; w = s + 16; g = 19; i = v + 2; x = w + 2; b = n + 1; z = t + 14; p = j + 17; t = g + 19; u = x + 18; j = b + 13; s = i + 15; v = g + 7. If g = 19, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"c": "o + 18", "j": "c + 16", "k": "j + 14", "p": "k + 19", "z": "p + 10", "n": "z + 5", "v": "o + 7", "x": "v + 11", "e": "x + 18", "b": "e + 20", "d": "b + 6", "l": "d + 8", "o": 2}, "premises": {"o": 2}, "target": "n"}, "answer": {"steps": [["z", "p + 10", "p + 15"], ["p", "k + 19", "k + 34"], ["k", "j + 14", "j + 48"], ["j", "c + 16", "c + 64"], ["c", "o + 18", "o + 82"], ["o", 2, "84"]], "target_var_name": "n", "target_value": 84, "value_dict": {"o": 2}, "is_reverse": true}} | 22,148 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = 2; z = p + 10; l = d + 8; d = b + 6; x = v + 11; k = j + 14; c = o + 18; n = z + 5; v = o + 7; p = k + 19; e = x + 18; j = c + 16; b = e + 20. If o = 2, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = p + 10 to n, which gives n = p + 15.\n2. Substitute p = k + 19 to n, which gives n = k + 34.\n3. Substitute k = j + 14 to n, which gives n = j + 48.\n4. Substitute j = c + 16 to n, which gives n = c + 64.\n5. Substitute c = o + 18 to n, which gives n = o + 82.\n6. Substitute o = 2 to n, which gives n = 84.\n\nThus, the final answer is n = \\boxed{84}.",
"index": 22148,
"question": "Consider a system of variables where each variable is defined as follows: o = 2; z = p + 10; l = d + 8; d = b + 6; x = v + 11; k = j + 14; c = o + 18; n = z + 5; v = o + 7; p = k + 19; e = x + 18; j = c + 16; b = e + 20. If o = 2, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"l": "p + 11", "u": "l + 11", "q": "u + 19", "b": "q + 16", "g": "b + 12", "i": "g + 12", "x": "p + 9", "v": "x + 3", "d": "v + 10", "h": "d + 6", "e": "h + 13", "y": "e + 7", "p": 9}, "premises": {"p": 9}, "target": "i"}, "answer": {"steps": [["g", "b + 12", "b + 24"], ["b", "q + 16", "q + 40"], ["q", "u + 19", "u + 59"], ["u", "l + 11", "l + 70"], ["l", "p + 11", "p + 81"], ["p", 9, "90"]], "target_var_name": "i", "target_value": 90, "value_dict": {"p": 9}, "is_reverse": true}} | 22,149 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = p + 11; e = h + 13; b = q + 16; x = p + 9; q = u + 19; i = g + 12; d = v + 10; g = b + 12; u = l + 11; h = d + 6; y = e + 7; p = 9; v = x + 3. Given that p = 9, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = b + 12 to i, which gives i = b + 24.\n2. Substitute b = q + 16 to i, which gives i = q + 40.\n3. Substitute q = u + 19 to i, which gives i = u + 59.\n4. Substitute u = l + 11 to i, which gives i = l + 70.\n5. Substitute l = p + 11 to i, which gives i = p + 81.\n6. Substitute p = 9 to i, which gives i = 90.\n\nThus, the final answer is i = \\boxed{90}.",
"index": 22149,
"question": "Suppose a collection of variables is related by the following definitions: l = p + 11; e = h + 13; b = q + 16; x = p + 9; q = u + 19; i = g + 12; d = v + 10; g = b + 12; u = l + 11; h = d + 6; y = e + 7; p = 9; v = x + 3. Given that p = 9, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"w": "c + 16", "r": "w + 19", "h": "r + 13", "o": "h + 3", "p": "o + 8", "d": "p + 11", "q": "c + 7", "z": "q + 9", "g": "z + 8", "s": "g + 7", "v": "s + 19", "y": "v + 14", "c": 10}, "premises": {"c": 10}, "target": "d"}, "answer": {"steps": [["p", "o + 8", "o + 19"], ["o", "h + 3", "h + 22"], ["h", "r + 13", "r + 35"], ["r", "w + 19", "w + 54"], ["w", "c + 16", "c + 70"], ["c", 10, "80"]], "target_var_name": "d", "target_value": 80, "value_dict": {"c": 10}, "is_reverse": true}} | 22,150 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = p + 11; p = o + 8; v = s + 19; c = 10; y = v + 14; o = h + 3; q = c + 7; s = g + 7; r = w + 19; w = c + 16; h = r + 13; z = q + 9; g = z + 8. Given that c = 10, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = o + 8 to d, which gives d = o + 19.\n2. Substitute o = h + 3 to d, which gives d = h + 22.\n3. Substitute h = r + 13 to d, which gives d = r + 35.\n4. Substitute r = w + 19 to d, which gives d = w + 54.\n5. Substitute w = c + 16 to d, which gives d = c + 70.\n6. Substitute c = 10 to d, which gives d = 80.\n\nThus, the final answer is d = \\boxed{80}.",
"index": 22150,
"question": "Suppose a collection of variables is related by the following definitions: d = p + 11; p = o + 8; v = s + 19; c = 10; y = v + 14; o = h + 3; q = c + 7; s = g + 7; r = w + 19; w = c + 16; h = r + 13; z = q + 9; g = z + 8. Given that c = 10, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"k": "w + 18", "x": "k + 13", "e": "x + 7", "a": "e + 3", "b": "a + 6", "s": "b + 7", "y": "w + 5", "v": "y + 13", "j": "v + 20", "t": "j + 19", "g": "t + 8", "c": "g + 1", "w": 17}, "premises": {"w": 17}, "target": "s"}, "answer": {"steps": [["b", "a + 6", "a + 13"], ["a", "e + 3", "e + 16"], ["e", "x + 7", "x + 23"], ["x", "k + 13", "k + 36"], ["k", "w + 18", "w + 54"], ["w", 17, "71"]], "target_var_name": "s", "target_value": 71, "value_dict": {"w": 17}, "is_reverse": true}} | 22,151 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = 17; g = t + 8; v = y + 13; a = e + 3; k = w + 18; b = a + 6; s = b + 7; c = g + 1; y = w + 5; x = k + 13; t = j + 19; e = x + 7; j = v + 20. If w = 17, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = a + 6 to s, which gives s = a + 13.\n2. Substitute a = e + 3 to s, which gives s = e + 16.\n3. Substitute e = x + 7 to s, which gives s = x + 23.\n4. Substitute x = k + 13 to s, which gives s = k + 36.\n5. Substitute k = w + 18 to s, which gives s = w + 54.\n6. Substitute w = 17 to s, which gives s = 71.\n\nThus, the final answer is s = \\boxed{71}.",
"index": 22151,
"question": "Consider a system of variables where each variable is defined as follows: w = 17; g = t + 8; v = y + 13; a = e + 3; k = w + 18; b = a + 6; s = b + 7; c = g + 1; y = w + 5; x = k + 13; t = j + 19; e = x + 7; j = v + 20. If w = 17, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"g": "f + 10", "h": "g + 18", "m": "h + 8", "a": "m + 20", "e": "a + 1", "u": "e + 20", "j": "f + 2", "i": "j + 6", "l": "i + 15", "r": "l + 6", "t": "r + 20", "z": "t + 16", "f": 5}, "premises": {"f": 5}, "target": "u"}, "answer": {"steps": [["e", "a + 1", "a + 21"], ["a", "m + 20", "m + 41"], ["m", "h + 8", "h + 49"], ["h", "g + 18", "g + 67"], ["g", "f + 10", "f + 77"], ["f", 5, "82"]], "target_var_name": "u", "target_value": 82, "value_dict": {"f": 5}, "is_reverse": true}} | 22,152 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = 5; m = h + 8; l = i + 15; e = a + 1; h = g + 18; z = t + 16; i = j + 6; t = r + 20; g = f + 10; a = m + 20; j = f + 2; u = e + 20; r = l + 6. Given that f = 5, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = a + 1 to u, which gives u = a + 21.\n2. Substitute a = m + 20 to u, which gives u = m + 41.\n3. Substitute m = h + 8 to u, which gives u = h + 49.\n4. Substitute h = g + 18 to u, which gives u = g + 67.\n5. Substitute g = f + 10 to u, which gives u = f + 77.\n6. Substitute f = 5 to u, which gives u = 82.\n\nThus, the final answer is u = \\boxed{82}.",
"index": 22152,
"question": "Suppose a collection of variables is related by the following definitions: f = 5; m = h + 8; l = i + 15; e = a + 1; h = g + 18; z = t + 16; i = j + 6; t = r + 20; g = f + 10; a = m + 20; j = f + 2; u = e + 20; r = l + 6. Given that f = 5, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"k": "c + 1", "b": "k + 3", "v": "b + 14", "x": "v + 11", "p": "x + 6", "w": "p + 9", "d": "c + 8", "e": "d + 2", "z": "e + 18", "q": "z + 6", "u": "q + 16", "o": "u + 13", "c": 9}, "premises": {"c": 9}, "target": "w"}, "answer": {"steps": [["p", "x + 6", "x + 15"], ["x", "v + 11", "v + 26"], ["v", "b + 14", "b + 40"], ["b", "k + 3", "k + 43"], ["k", "c + 1", "c + 44"], ["c", 9, "53"]], "target_var_name": "w", "target_value": 53, "value_dict": {"c": 9}, "is_reverse": true}} | 22,153 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = v + 11; k = c + 1; d = c + 8; e = d + 2; w = p + 9; z = e + 18; c = 9; q = z + 6; u = q + 16; b = k + 3; o = u + 13; v = b + 14; p = x + 6. If c = 9, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = x + 6 to w, which gives w = x + 15.\n2. Substitute x = v + 11 to w, which gives w = v + 26.\n3. Substitute v = b + 14 to w, which gives w = b + 40.\n4. Substitute b = k + 3 to w, which gives w = k + 43.\n5. Substitute k = c + 1 to w, which gives w = c + 44.\n6. Substitute c = 9 to w, which gives w = 53.\n\nThus, the final answer is w = \\boxed{53}.",
"index": 22153,
"question": "Consider a system of variables where each variable is defined as follows: x = v + 11; k = c + 1; d = c + 8; e = d + 2; w = p + 9; z = e + 18; c = 9; q = z + 6; u = q + 16; b = k + 3; o = u + 13; v = b + 14; p = x + 6. If c = 9, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"k": "g + 14", "n": "k + 14", "c": "n + 14", "e": "c + 13", "p": "e + 4", "z": "p + 6", "a": "g + 8", "t": "a + 12", "h": "t + 18", "s": "h + 6", "q": "s + 14", "j": "q + 7", "g": 20}, "premises": {"g": 20}, "target": "z"}, "answer": {"steps": [["p", "e + 4", "e + 10"], ["e", "c + 13", "c + 23"], ["c", "n + 14", "n + 37"], ["n", "k + 14", "k + 51"], ["k", "g + 14", "g + 65"], ["g", 20, "85"]], "target_var_name": "z", "target_value": 85, "value_dict": {"g": 20}, "is_reverse": true}} | 22,154 | 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 = s + 14; e = c + 13; a = g + 8; h = t + 18; z = p + 6; n = k + 14; g = 20; c = n + 14; k = g + 14; p = e + 4; j = q + 7; t = a + 12; s = h + 6. If g = 20, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = e + 4 to z, which gives z = e + 10.\n2. Substitute e = c + 13 to z, which gives z = c + 23.\n3. Substitute c = n + 14 to z, which gives z = n + 37.\n4. Substitute n = k + 14 to z, which gives z = k + 51.\n5. Substitute k = g + 14 to z, which gives z = g + 65.\n6. Substitute g = 20 to z, which gives z = 85.\n\nThus, the final answer is z = \\boxed{85}.",
"index": 22154,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = s + 14; e = c + 13; a = g + 8; h = t + 18; z = p + 6; n = k + 14; g = 20; c = n + 14; k = g + 14; p = e + 4; j = q + 7; t = a + 12; s = h + 6. If g = 20, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"i": "s + 13", "w": "i + 1", "j": "w + 8", "v": "j + 10", "f": "v + 4", "t": "f + 13", "h": "s + 16", "p": "h + 6", "z": "p + 3", "y": "z + 18", "e": "y + 6", "l": "e + 13", "s": 7}, "premises": {"s": 7}, "target": "t"}, "answer": {"steps": [["f", "v + 4", "v + 17"], ["v", "j + 10", "j + 27"], ["j", "w + 8", "w + 35"], ["w", "i + 1", "i + 36"], ["i", "s + 13", "s + 49"], ["s", 7, "56"]], "target_var_name": "t", "target_value": 56, "value_dict": {"s": 7}, "is_reverse": true}} | 22,155 | 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 = y + 6; s = 7; i = s + 13; y = z + 18; w = i + 1; p = h + 6; t = f + 13; j = w + 8; z = p + 3; l = e + 13; h = s + 16; v = j + 10; f = v + 4. If s = 7, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = v + 4 to t, which gives t = v + 17.\n2. Substitute v = j + 10 to t, which gives t = j + 27.\n3. Substitute j = w + 8 to t, which gives t = w + 35.\n4. Substitute w = i + 1 to t, which gives t = i + 36.\n5. Substitute i = s + 13 to t, which gives t = s + 49.\n6. Substitute s = 7 to t, which gives t = 56.\n\nThus, the final answer is t = \\boxed{56}.",
"index": 22155,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = y + 6; s = 7; i = s + 13; y = z + 18; w = i + 1; p = h + 6; t = f + 13; j = w + 8; z = p + 3; l = e + 13; h = s + 16; v = j + 10; f = v + 4. If s = 7, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"g": "x + 10", "k": "g + 4", "a": "k + 2", "t": "a + 15", "v": "t + 18", "c": "v + 16", "q": "x + 20", "d": "q + 10", "h": "d + 20", "s": "h + 10", "i": "s + 15", "n": "i + 19", "x": 3}, "premises": {"x": 3}, "target": "c"}, "answer": {"steps": [["v", "t + 18", "t + 34"], ["t", "a + 15", "a + 49"], ["a", "k + 2", "k + 51"], ["k", "g + 4", "g + 55"], ["g", "x + 10", "x + 65"], ["x", 3, "68"]], "target_var_name": "c", "target_value": 68, "value_dict": {"x": 3}, "is_reverse": true}} | 22,156 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = g + 4; t = a + 15; q = x + 20; a = k + 2; n = i + 19; s = h + 10; v = t + 18; g = x + 10; d = q + 10; x = 3; h = d + 20; i = s + 15; c = v + 16. If x = 3, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = t + 18 to c, which gives c = t + 34.\n2. Substitute t = a + 15 to c, which gives c = a + 49.\n3. Substitute a = k + 2 to c, which gives c = k + 51.\n4. Substitute k = g + 4 to c, which gives c = g + 55.\n5. Substitute g = x + 10 to c, which gives c = x + 65.\n6. Substitute x = 3 to c, which gives c = 68.\n\nThus, the final answer is c = \\boxed{68}.",
"index": 22156,
"question": "Consider a system of variables where each variable is defined as follows: k = g + 4; t = a + 15; q = x + 20; a = k + 2; n = i + 19; s = h + 10; v = t + 18; g = x + 10; d = q + 10; x = 3; h = d + 20; i = s + 15; c = v + 16. If x = 3, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"u": "n + 6", "q": "u + 18", "y": "q + 19", "r": "y + 14", "x": "r + 2", "m": "x + 11", "d": "n + 1", "i": "d + 3", "z": "i + 19", "a": "z + 14", "e": "a + 2", "o": "e + 16", "n": 15}, "premises": {"n": 15}, "target": "m"}, "answer": {"steps": [["x", "r + 2", "r + 13"], ["r", "y + 14", "y + 27"], ["y", "q + 19", "q + 46"], ["q", "u + 18", "u + 64"], ["u", "n + 6", "n + 70"], ["n", 15, "85"]], "target_var_name": "m", "target_value": 85, "value_dict": {"n": 15}, "is_reverse": true}} | 22,157 | 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 = x + 11; d = n + 1; q = u + 18; n = 15; e = a + 2; o = e + 16; a = z + 14; u = n + 6; z = i + 19; y = q + 19; r = y + 14; x = r + 2; i = d + 3. If n = 15, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = r + 2 to m, which gives m = r + 13.\n2. Substitute r = y + 14 to m, which gives m = y + 27.\n3. Substitute y = q + 19 to m, which gives m = q + 46.\n4. Substitute q = u + 18 to m, which gives m = u + 64.\n5. Substitute u = n + 6 to m, which gives m = n + 70.\n6. Substitute n = 15 to m, which gives m = 85.\n\nThus, the final answer is m = \\boxed{85}.",
"index": 22157,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = x + 11; d = n + 1; q = u + 18; n = 15; e = a + 2; o = e + 16; a = z + 14; u = n + 6; z = i + 19; y = q + 19; r = y + 14; x = r + 2; i = d + 3. If n = 15, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"g": "e + 2", "t": "g + 11", "c": "t + 20", "y": "c + 11", "z": "y + 11", "f": "z + 6", "p": "e + 18", "k": "p + 15", "w": "k + 9", "m": "w + 3", "d": "m + 14", "u": "d + 5", "e": 12}, "premises": {"e": 12}, "target": "f"}, "answer": {"steps": [["z", "y + 11", "y + 17"], ["y", "c + 11", "c + 28"], ["c", "t + 20", "t + 48"], ["t", "g + 11", "g + 59"], ["g", "e + 2", "e + 61"], ["e", 12, "73"]], "target_var_name": "f", "target_value": 73, "value_dict": {"e": 12}, "is_reverse": true}} | 22,158 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = y + 11; t = g + 11; w = k + 9; m = w + 3; k = p + 15; p = e + 18; d = m + 14; g = e + 2; u = d + 5; c = t + 20; y = c + 11; e = 12; f = z + 6. If e = 12, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = y + 11 to f, which gives f = y + 17.\n2. Substitute y = c + 11 to f, which gives f = c + 28.\n3. Substitute c = t + 20 to f, which gives f = t + 48.\n4. Substitute t = g + 11 to f, which gives f = g + 59.\n5. Substitute g = e + 2 to f, which gives f = e + 61.\n6. Substitute e = 12 to f, which gives f = 73.\n\nThus, the final answer is f = \\boxed{73}.",
"index": 22158,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = y + 11; t = g + 11; w = k + 9; m = w + 3; k = p + 15; p = e + 18; d = m + 14; g = e + 2; u = d + 5; c = t + 20; y = c + 11; e = 12; f = z + 6. If e = 12, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"w": "s + 3", "i": "w + 11", "v": "i + 20", "z": "v + 2", "n": "z + 1", "r": "n + 17", "x": "s + 10", "b": "x + 1", "k": "b + 2", "q": "k + 20", "o": "q + 15", "j": "o + 19", "s": 14}, "premises": {"s": 14}, "target": "r"}, "answer": {"steps": [["n", "z + 1", "z + 18"], ["z", "v + 2", "v + 20"], ["v", "i + 20", "i + 40"], ["i", "w + 11", "w + 51"], ["w", "s + 3", "s + 54"], ["s", 14, "68"]], "target_var_name": "r", "target_value": 68, "value_dict": {"s": 14}, "is_reverse": true}} | 22,159 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = s + 10; w = s + 3; r = n + 17; k = b + 2; i = w + 11; b = x + 1; v = i + 20; s = 14; n = z + 1; q = k + 20; o = q + 15; j = o + 19; z = v + 2. If s = 14, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = z + 1 to r, which gives r = z + 18.\n2. Substitute z = v + 2 to r, which gives r = v + 20.\n3. Substitute v = i + 20 to r, which gives r = i + 40.\n4. Substitute i = w + 11 to r, which gives r = w + 51.\n5. Substitute w = s + 3 to r, which gives r = s + 54.\n6. Substitute s = 14 to r, which gives r = 68.\n\nThus, the final answer is r = \\boxed{68}.",
"index": 22159,
"question": "Consider a system of variables where each variable is defined as follows: x = s + 10; w = s + 3; r = n + 17; k = b + 2; i = w + 11; b = x + 1; v = i + 20; s = 14; n = z + 1; q = k + 20; o = q + 15; j = o + 19; z = v + 2. If s = 14, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"s": "z + 16", "i": "s + 6", "v": "i + 6", "h": "v + 5", "m": "h + 16", "x": "m + 6", "u": "z + 12", "f": "u + 2", "k": "f + 1", "t": "k + 13", "c": "t + 9", "d": "c + 12", "z": 4}, "premises": {"z": 4}, "target": "x"}, "answer": {"steps": [["m", "h + 16", "h + 22"], ["h", "v + 5", "v + 27"], ["v", "i + 6", "i + 33"], ["i", "s + 6", "s + 39"], ["s", "z + 16", "z + 55"], ["z", 4, "59"]], "target_var_name": "x", "target_value": 59, "value_dict": {"z": 4}, "is_reverse": true}} | 22,160 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = s + 6; z = 4; x = m + 6; m = h + 16; t = k + 13; s = z + 16; v = i + 6; d = c + 12; u = z + 12; f = u + 2; c = t + 9; h = v + 5; k = f + 1. If z = 4, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = h + 16 to x, which gives x = h + 22.\n2. Substitute h = v + 5 to x, which gives x = v + 27.\n3. Substitute v = i + 6 to x, which gives x = i + 33.\n4. Substitute i = s + 6 to x, which gives x = s + 39.\n5. Substitute s = z + 16 to x, which gives x = z + 55.\n6. Substitute z = 4 to x, which gives x = 59.\n\nThus, the final answer is x = \\boxed{59}.",
"index": 22160,
"question": "Consider a system of variables where each variable is defined as follows: i = s + 6; z = 4; x = m + 6; m = h + 16; t = k + 13; s = z + 16; v = i + 6; d = c + 12; u = z + 12; f = u + 2; c = t + 9; h = v + 5; k = f + 1. If z = 4, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"m": "u + 1", "q": "m + 10", "b": "q + 12", "r": "b + 3", "f": "r + 7", "p": "f + 2", "e": "u + 19", "n": "e + 17", "k": "n + 15", "h": "k + 17", "z": "h + 13", "t": "z + 14", "u": 8}, "premises": {"u": 8}, "target": "p"}, "answer": {"steps": [["f", "r + 7", "r + 9"], ["r", "b + 3", "b + 12"], ["b", "q + 12", "q + 24"], ["q", "m + 10", "m + 34"], ["m", "u + 1", "u + 35"], ["u", 8, "43"]], "target_var_name": "p", "target_value": 43, "value_dict": {"u": 8}, "is_reverse": true}} | 22,161 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = f + 2; q = m + 10; n = e + 17; b = q + 12; m = u + 1; e = u + 19; k = n + 15; r = b + 3; z = h + 13; u = 8; h = k + 17; t = z + 14; f = r + 7. If u = 8, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = r + 7 to p, which gives p = r + 9.\n2. Substitute r = b + 3 to p, which gives p = b + 12.\n3. Substitute b = q + 12 to p, which gives p = q + 24.\n4. Substitute q = m + 10 to p, which gives p = m + 34.\n5. Substitute m = u + 1 to p, which gives p = u + 35.\n6. Substitute u = 8 to p, which gives p = 43.\n\nThus, the final answer is p = \\boxed{43}.",
"index": 22161,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = f + 2; q = m + 10; n = e + 17; b = q + 12; m = u + 1; e = u + 19; k = n + 15; r = b + 3; z = h + 13; u = 8; h = k + 17; t = z + 14; f = r + 7. If u = 8, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"s": "d + 6", "m": "s + 12", "u": "m + 2", "z": "u + 18", "g": "z + 2", "a": "g + 6", "x": "d + 7", "q": "x + 14", "w": "q + 4", "t": "w + 20", "n": "t + 5", "v": "n + 14", "d": 17}, "premises": {"d": 17}, "target": "a"}, "answer": {"steps": [["g", "z + 2", "z + 8"], ["z", "u + 18", "u + 26"], ["u", "m + 2", "m + 28"], ["m", "s + 12", "s + 40"], ["s", "d + 6", "d + 46"], ["d", 17, "63"]], "target_var_name": "a", "target_value": 63, "value_dict": {"d": 17}, "is_reverse": true}} | 22,162 | 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 = n + 14; z = u + 18; q = x + 14; g = z + 2; t = w + 20; n = t + 5; d = 17; x = d + 7; u = m + 2; a = g + 6; s = d + 6; m = s + 12; w = q + 4. If d = 17, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = z + 2 to a, which gives a = z + 8.\n2. Substitute z = u + 18 to a, which gives a = u + 26.\n3. Substitute u = m + 2 to a, which gives a = m + 28.\n4. Substitute m = s + 12 to a, which gives a = s + 40.\n5. Substitute s = d + 6 to a, which gives a = d + 46.\n6. Substitute d = 17 to a, which gives a = 63.\n\nThus, the final answer is a = \\boxed{63}.",
"index": 22162,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = n + 14; z = u + 18; q = x + 14; g = z + 2; t = w + 20; n = t + 5; d = 17; x = d + 7; u = m + 2; a = g + 6; s = d + 6; m = s + 12; w = q + 4. If d = 17, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"g": "y + 3", "r": "g + 9", "s": "r + 3", "u": "s + 17", "o": "u + 17", "f": "o + 20", "z": "y + 17", "k": "z + 19", "c": "k + 17", "b": "c + 16", "p": "b + 3", "h": "p + 18", "y": 16}, "premises": {"y": 16}, "target": "f"}, "answer": {"steps": [["o", "u + 17", "u + 37"], ["u", "s + 17", "s + 54"], ["s", "r + 3", "r + 57"], ["r", "g + 9", "g + 66"], ["g", "y + 3", "y + 69"], ["y", 16, "85"]], "target_var_name": "f", "target_value": 85, "value_dict": {"y": 16}, "is_reverse": true}} | 22,163 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = z + 19; r = g + 9; o = u + 17; z = y + 17; u = s + 17; b = c + 16; y = 16; g = y + 3; h = p + 18; p = b + 3; f = o + 20; c = k + 17; s = r + 3. If y = 16, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = u + 17 to f, which gives f = u + 37.\n2. Substitute u = s + 17 to f, which gives f = s + 54.\n3. Substitute s = r + 3 to f, which gives f = r + 57.\n4. Substitute r = g + 9 to f, which gives f = g + 66.\n5. Substitute g = y + 3 to f, which gives f = y + 69.\n6. Substitute y = 16 to f, which gives f = 85.\n\nThus, the final answer is f = \\boxed{85}.",
"index": 22163,
"question": "Consider a system of variables where each variable is defined as follows: k = z + 19; r = g + 9; o = u + 17; z = y + 17; u = s + 17; b = c + 16; y = 16; g = y + 3; h = p + 18; p = b + 3; f = o + 20; c = k + 17; s = r + 3. If y = 16, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"u": "j + 4", "s": "u + 5", "o": "s + 9", "k": "o + 20", "a": "k + 16", "n": "a + 20", "q": "j + 4", "c": "q + 1", "g": "c + 15", "l": "g + 12", "p": "l + 5", "v": "p + 13", "j": 16}, "premises": {"j": 16}, "target": "n"}, "answer": {"steps": [["a", "k + 16", "k + 36"], ["k", "o + 20", "o + 56"], ["o", "s + 9", "s + 65"], ["s", "u + 5", "u + 70"], ["u", "j + 4", "j + 74"], ["j", 16, "90"]], "target_var_name": "n", "target_value": 90, "value_dict": {"j": 16}, "is_reverse": true}} | 22,164 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = 16; u = j + 4; k = o + 20; c = q + 1; o = s + 9; q = j + 4; l = g + 12; g = c + 15; v = p + 13; p = l + 5; a = k + 16; n = a + 20; s = u + 5. Given that j = 16, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = k + 16 to n, which gives n = k + 36.\n2. Substitute k = o + 20 to n, which gives n = o + 56.\n3. Substitute o = s + 9 to n, which gives n = s + 65.\n4. Substitute s = u + 5 to n, which gives n = u + 70.\n5. Substitute u = j + 4 to n, which gives n = j + 74.\n6. Substitute j = 16 to n, which gives n = 90.\n\nThus, the final answer is n = \\boxed{90}.",
"index": 22164,
"question": "Suppose a collection of variables is related by the following definitions: j = 16; u = j + 4; k = o + 20; c = q + 1; o = s + 9; q = j + 4; l = g + 12; g = c + 15; v = p + 13; p = l + 5; a = k + 16; n = a + 20; s = u + 5. Given that j = 16, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"h": "j + 8", "t": "h + 13", "l": "t + 20", "a": "l + 10", "c": "a + 6", "d": "c + 7", "e": "j + 15", "m": "e + 16", "x": "m + 1", "p": "x + 12", "w": "p + 14", "u": "w + 13", "j": 6}, "premises": {"j": 6}, "target": "d"}, "answer": {"steps": [["c", "a + 6", "a + 13"], ["a", "l + 10", "l + 23"], ["l", "t + 20", "t + 43"], ["t", "h + 13", "h + 56"], ["h", "j + 8", "j + 64"], ["j", 6, "70"]], "target_var_name": "d", "target_value": 70, "value_dict": {"j": 6}, "is_reverse": true}} | 22,165 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = a + 6; h = j + 8; e = j + 15; a = l + 10; p = x + 12; d = c + 7; x = m + 1; t = h + 13; w = p + 14; m = e + 16; j = 6; u = w + 13; l = t + 20. Given that j = 6, find 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 c = a + 6 to d, which gives d = a + 13.\n2. Substitute a = l + 10 to d, which gives d = l + 23.\n3. Substitute l = t + 20 to d, which gives d = t + 43.\n4. Substitute t = h + 13 to d, which gives d = h + 56.\n5. Substitute h = j + 8 to d, which gives d = j + 64.\n6. Substitute j = 6 to d, which gives d = 70.\n\nThus, the final answer is d = \\boxed{70}.",
"index": 22165,
"question": "Suppose a collection of variables is related by the following definitions: c = a + 6; h = j + 8; e = j + 15; a = l + 10; p = x + 12; d = c + 7; x = m + 1; t = h + 13; w = p + 14; m = e + 16; j = 6; u = w + 13; l = t + 20. Given that j = 6, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"y": "l + 6", "s": "y + 20", "r": "s + 8", "e": "r + 16", "k": "e + 7", "v": "k + 4", "q": "l + 9", "c": "q + 15", "w": "c + 13", "d": "w + 6", "b": "d + 12", "p": "b + 5", "l": 19}, "premises": {"l": 19}, "target": "v"}, "answer": {"steps": [["k", "e + 7", "e + 11"], ["e", "r + 16", "r + 27"], ["r", "s + 8", "s + 35"], ["s", "y + 20", "y + 55"], ["y", "l + 6", "l + 61"], ["l", 19, "80"]], "target_var_name": "v", "target_value": 80, "value_dict": {"l": 19}, "is_reverse": true}} | 22,166 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = b + 5; d = w + 6; v = k + 4; b = d + 12; s = y + 20; q = l + 9; l = 19; k = e + 7; e = r + 16; y = l + 6; w = c + 13; r = s + 8; c = q + 15. If l = 19, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = e + 7 to v, which gives v = e + 11.\n2. Substitute e = r + 16 to v, which gives v = r + 27.\n3. Substitute r = s + 8 to v, which gives v = s + 35.\n4. Substitute s = y + 20 to v, which gives v = y + 55.\n5. Substitute y = l + 6 to v, which gives v = l + 61.\n6. Substitute l = 19 to v, which gives v = 80.\n\nThus, the final answer is v = \\boxed{80}.",
"index": 22166,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = b + 5; d = w + 6; v = k + 4; b = d + 12; s = y + 20; q = l + 9; l = 19; k = e + 7; e = r + 16; y = l + 6; w = c + 13; r = s + 8; c = q + 15. If l = 19, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"a": "n + 11", "w": "a + 20", "b": "w + 17", "m": "b + 1", "h": "m + 16", "s": "h + 12", "t": "n + 11", "u": "t + 2", "l": "u + 16", "z": "l + 8", "p": "z + 8", "j": "p + 11", "n": 15}, "premises": {"n": 15}, "target": "s"}, "answer": {"steps": [["h", "m + 16", "m + 28"], ["m", "b + 1", "b + 29"], ["b", "w + 17", "w + 46"], ["w", "a + 20", "a + 66"], ["a", "n + 11", "n + 77"], ["n", 15, "92"]], "target_var_name": "s", "target_value": 92, "value_dict": {"n": 15}, "is_reverse": true}} | 22,167 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = t + 2; z = l + 8; t = n + 11; a = n + 11; s = h + 12; b = w + 17; n = 15; l = u + 16; w = a + 20; h = m + 16; p = z + 8; j = p + 11; m = b + 1. Given that n = 15, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = m + 16 to s, which gives s = m + 28.\n2. Substitute m = b + 1 to s, which gives s = b + 29.\n3. Substitute b = w + 17 to s, which gives s = w + 46.\n4. Substitute w = a + 20 to s, which gives s = a + 66.\n5. Substitute a = n + 11 to s, which gives s = n + 77.\n6. Substitute n = 15 to s, which gives s = 92.\n\nThus, the final answer is s = \\boxed{92}.",
"index": 22167,
"question": "Suppose a collection of variables is related by the following definitions: u = t + 2; z = l + 8; t = n + 11; a = n + 11; s = h + 12; b = w + 17; n = 15; l = u + 16; w = a + 20; h = m + 16; p = z + 8; j = p + 11; m = b + 1. Given that n = 15, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"y": "n + 3", "v": "y + 19", "g": "v + 3", "r": "g + 19", "b": "r + 13", "t": "b + 9", "e": "n + 4", "h": "e + 9", "l": "h + 17", "q": "l + 13", "x": "q + 11", "p": "x + 17", "n": 6}, "premises": {"n": 6}, "target": "t"}, "answer": {"steps": [["b", "r + 13", "r + 22"], ["r", "g + 19", "g + 41"], ["g", "v + 3", "v + 44"], ["v", "y + 19", "y + 63"], ["y", "n + 3", "n + 66"], ["n", 6, "72"]], "target_var_name": "t", "target_value": 72, "value_dict": {"n": 6}, "is_reverse": true}} | 22,168 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = r + 13; v = y + 19; y = n + 3; h = e + 9; n = 6; p = x + 17; e = n + 4; q = l + 13; x = q + 11; t = b + 9; l = h + 17; g = v + 3; r = g + 19. Given that n = 6, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = r + 13 to t, which gives t = r + 22.\n2. Substitute r = g + 19 to t, which gives t = g + 41.\n3. Substitute g = v + 3 to t, which gives t = v + 44.\n4. Substitute v = y + 19 to t, which gives t = y + 63.\n5. Substitute y = n + 3 to t, which gives t = n + 66.\n6. Substitute n = 6 to t, which gives t = 72.\n\nThus, the final answer is t = \\boxed{72}.",
"index": 22168,
"question": "Suppose a collection of variables is related by the following definitions: b = r + 13; v = y + 19; y = n + 3; h = e + 9; n = 6; p = x + 17; e = n + 4; q = l + 13; x = q + 11; t = b + 9; l = h + 17; g = v + 3; r = g + 19. Given that n = 6, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"l": "e + 18", "p": "l + 16", "d": "p + 16", "i": "d + 2", "q": "i + 18", "m": "q + 8", "j": "e + 12", "a": "j + 7", "h": "a + 16", "t": "h + 2", "n": "t + 11", "s": "n + 16", "e": 4}, "premises": {"e": 4}, "target": "m"}, "answer": {"steps": [["q", "i + 18", "i + 26"], ["i", "d + 2", "d + 28"], ["d", "p + 16", "p + 44"], ["p", "l + 16", "l + 60"], ["l", "e + 18", "e + 78"], ["e", 4, "82"]], "target_var_name": "m", "target_value": 82, "value_dict": {"e": 4}, "is_reverse": true}} | 22,169 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = a + 16; i = d + 2; e = 4; l = e + 18; m = q + 8; a = j + 7; p = l + 16; q = i + 18; d = p + 16; s = n + 16; j = e + 12; n = t + 11; t = h + 2. Given that e = 4, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = i + 18 to m, which gives m = i + 26.\n2. Substitute i = d + 2 to m, which gives m = d + 28.\n3. Substitute d = p + 16 to m, which gives m = p + 44.\n4. Substitute p = l + 16 to m, which gives m = l + 60.\n5. Substitute l = e + 18 to m, which gives m = e + 78.\n6. Substitute e = 4 to m, which gives m = 82.\n\nThus, the final answer is m = \\boxed{82}.",
"index": 22169,
"question": "Suppose a collection of variables is related by the following definitions: h = a + 16; i = d + 2; e = 4; l = e + 18; m = q + 8; a = j + 7; p = l + 16; q = i + 18; d = p + 16; s = n + 16; j = e + 12; n = t + 11; t = h + 2. Given that e = 4, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"u": "i + 9", "t": "u + 5", "e": "t + 5", "d": "e + 6", "f": "d + 13", "m": "f + 2", "a": "i + 20", "y": "a + 17", "x": "y + 18", "p": "x + 16", "w": "p + 5", "k": "w + 2", "i": 3}, "premises": {"i": 3}, "target": "m"}, "answer": {"steps": [["f", "d + 13", "d + 15"], ["d", "e + 6", "e + 21"], ["e", "t + 5", "t + 26"], ["t", "u + 5", "u + 31"], ["u", "i + 9", "i + 40"], ["i", 3, "43"]], "target_var_name": "m", "target_value": 43, "value_dict": {"i": 3}, "is_reverse": true}} | 22,170 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = i + 9; x = y + 18; m = f + 2; w = p + 5; i = 3; a = i + 20; k = w + 2; y = a + 17; t = u + 5; e = t + 5; f = d + 13; d = e + 6; p = x + 16. If i = 3, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = d + 13 to m, which gives m = d + 15.\n2. Substitute d = e + 6 to m, which gives m = e + 21.\n3. Substitute e = t + 5 to m, which gives m = t + 26.\n4. Substitute t = u + 5 to m, which gives m = u + 31.\n5. Substitute u = i + 9 to m, which gives m = i + 40.\n6. Substitute i = 3 to m, which gives m = 43.\n\nThus, the final answer is m = \\boxed{43}.",
"index": 22170,
"question": "Consider a system of variables where each variable is defined as follows: u = i + 9; x = y + 18; m = f + 2; w = p + 5; i = 3; a = i + 20; k = w + 2; y = a + 17; t = u + 5; e = t + 5; f = d + 13; d = e + 6; p = x + 16. If i = 3, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"o": "i + 14", "v": "o + 15", "a": "v + 6", "b": "a + 18", "d": "b + 8", "s": "d + 14", "u": "i + 7", "k": "u + 7", "e": "k + 4", "c": "e + 16", "l": "c + 8", "m": "l + 13", "i": 5}, "premises": {"i": 5}, "target": "s"}, "answer": {"steps": [["d", "b + 8", "b + 22"], ["b", "a + 18", "a + 40"], ["a", "v + 6", "v + 46"], ["v", "o + 15", "o + 61"], ["o", "i + 14", "i + 75"], ["i", 5, "80"]], "target_var_name": "s", "target_value": 80, "value_dict": {"i": 5}, "is_reverse": true}} | 22,171 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = v + 6; i = 5; l = c + 8; o = i + 14; k = u + 7; b = a + 18; c = e + 16; v = o + 15; s = d + 14; m = l + 13; u = i + 7; d = b + 8; e = k + 4. If i = 5, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = b + 8 to s, which gives s = b + 22.\n2. Substitute b = a + 18 to s, which gives s = a + 40.\n3. Substitute a = v + 6 to s, which gives s = v + 46.\n4. Substitute v = o + 15 to s, which gives s = o + 61.\n5. Substitute o = i + 14 to s, which gives s = i + 75.\n6. Substitute i = 5 to s, which gives s = 80.\n\nThus, the final answer is s = \\boxed{80}.",
"index": 22171,
"question": "Consider a system of variables where each variable is defined as follows: a = v + 6; i = 5; l = c + 8; o = i + 14; k = u + 7; b = a + 18; c = e + 16; v = o + 15; s = d + 14; m = l + 13; u = i + 7; d = b + 8; e = k + 4. If i = 5, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"p": "r + 9", "u": "p + 20", "g": "u + 16", "d": "g + 17", "e": "d + 10", "a": "e + 9", "z": "r + 11", "f": "z + 10", "o": "f + 6", "s": "o + 7", "v": "s + 10", "i": "v + 2", "r": 18}, "premises": {"r": 18}, "target": "a"}, "answer": {"steps": [["e", "d + 10", "d + 19"], ["d", "g + 17", "g + 36"], ["g", "u + 16", "u + 52"], ["u", "p + 20", "p + 72"], ["p", "r + 9", "r + 81"], ["r", 18, "99"]], "target_var_name": "a", "target_value": 99, "value_dict": {"r": 18}, "is_reverse": true}} | 22,172 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = r + 11; p = r + 9; u = p + 20; d = g + 17; v = s + 10; a = e + 9; o = f + 6; r = 18; f = z + 10; i = v + 2; g = u + 16; e = d + 10; s = o + 7. Given that r = 18, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = d + 10 to a, which gives a = d + 19.\n2. Substitute d = g + 17 to a, which gives a = g + 36.\n3. Substitute g = u + 16 to a, which gives a = u + 52.\n4. Substitute u = p + 20 to a, which gives a = p + 72.\n5. Substitute p = r + 9 to a, which gives a = r + 81.\n6. Substitute r = 18 to a, which gives a = 99.\n\nThus, the final answer is a = \\boxed{99}.",
"index": 22172,
"question": "Suppose a collection of variables is related by the following definitions: z = r + 11; p = r + 9; u = p + 20; d = g + 17; v = s + 10; a = e + 9; o = f + 6; r = 18; f = z + 10; i = v + 2; g = u + 16; e = d + 10; s = o + 7. Given that r = 18, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"b": "d + 9", "v": "b + 17", "f": "v + 2", "m": "f + 9", "u": "m + 5", "t": "u + 14", "s": "d + 14", "l": "s + 20", "w": "l + 16", "z": "w + 1", "q": "z + 10", "c": "q + 11", "d": 16}, "premises": {"d": 16}, "target": "t"}, "answer": {"steps": [["u", "m + 5", "m + 19"], ["m", "f + 9", "f + 28"], ["f", "v + 2", "v + 30"], ["v", "b + 17", "b + 47"], ["b", "d + 9", "d + 56"], ["d", 16, "72"]], "target_var_name": "t", "target_value": 72, "value_dict": {"d": 16}, "is_reverse": true}} | 22,173 | 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 = w + 1; c = q + 11; l = s + 20; f = v + 2; q = z + 10; t = u + 14; m = f + 9; d = 16; b = d + 9; w = l + 16; u = m + 5; s = d + 14; v = b + 17. If d = 16, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = m + 5 to t, which gives t = m + 19.\n2. Substitute m = f + 9 to t, which gives t = f + 28.\n3. Substitute f = v + 2 to t, which gives t = v + 30.\n4. Substitute v = b + 17 to t, which gives t = b + 47.\n5. Substitute b = d + 9 to t, which gives t = d + 56.\n6. Substitute d = 16 to t, which gives t = 72.\n\nThus, the final answer is t = \\boxed{72}.",
"index": 22173,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = w + 1; c = q + 11; l = s + 20; f = v + 2; q = z + 10; t = u + 14; m = f + 9; d = 16; b = d + 9; w = l + 16; u = m + 5; s = d + 14; v = b + 17. If d = 16, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"i": "l + 1", "v": "i + 12", "m": "v + 8", "w": "m + 19", "k": "w + 13", "c": "k + 13", "b": "l + 14", "x": "b + 16", "e": "x + 13", "y": "e + 9", "r": "y + 10", "p": "r + 15", "l": 8}, "premises": {"l": 8}, "target": "c"}, "answer": {"steps": [["k", "w + 13", "w + 26"], ["w", "m + 19", "m + 45"], ["m", "v + 8", "v + 53"], ["v", "i + 12", "i + 65"], ["i", "l + 1", "l + 66"], ["l", 8, "74"]], "target_var_name": "c", "target_value": 74, "value_dict": {"l": 8}, "is_reverse": true}} | 22,174 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = 8; c = k + 13; e = x + 13; m = v + 8; w = m + 19; b = l + 14; k = w + 13; v = i + 12; p = r + 15; i = l + 1; x = b + 16; y = e + 9; r = y + 10. If l = 8, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = w + 13 to c, which gives c = w + 26.\n2. Substitute w = m + 19 to c, which gives c = m + 45.\n3. Substitute m = v + 8 to c, which gives c = v + 53.\n4. Substitute v = i + 12 to c, which gives c = i + 65.\n5. Substitute i = l + 1 to c, which gives c = l + 66.\n6. Substitute l = 8 to c, which gives c = 74.\n\nThus, the final answer is c = \\boxed{74}.",
"index": 22174,
"question": "Consider a system of variables where each variable is defined as follows: l = 8; c = k + 13; e = x + 13; m = v + 8; w = m + 19; b = l + 14; k = w + 13; v = i + 12; p = r + 15; i = l + 1; x = b + 16; y = e + 9; r = y + 10. If l = 8, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"w": "p + 6", "t": "w + 11", "r": "t + 10", "d": "r + 13", "b": "d + 6", "x": "b + 1", "j": "p + 12", "f": "j + 13", "c": "f + 15", "h": "c + 20", "m": "h + 16", "g": "m + 19", "p": 7}, "premises": {"p": 7}, "target": "x"}, "answer": {"steps": [["b", "d + 6", "d + 7"], ["d", "r + 13", "r + 20"], ["r", "t + 10", "t + 30"], ["t", "w + 11", "w + 41"], ["w", "p + 6", "p + 47"], ["p", 7, "54"]], "target_var_name": "x", "target_value": 54, "value_dict": {"p": 7}, "is_reverse": true}} | 22,175 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = c + 20; c = f + 15; f = j + 13; x = b + 1; j = p + 12; t = w + 11; b = d + 6; d = r + 13; r = t + 10; m = h + 16; g = m + 19; p = 7; w = p + 6. If p = 7, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = d + 6 to x, which gives x = d + 7.\n2. Substitute d = r + 13 to x, which gives x = r + 20.\n3. Substitute r = t + 10 to x, which gives x = t + 30.\n4. Substitute t = w + 11 to x, which gives x = w + 41.\n5. Substitute w = p + 6 to x, which gives x = p + 47.\n6. Substitute p = 7 to x, which gives x = 54.\n\nThus, the final answer is x = \\boxed{54}.",
"index": 22175,
"question": "Consider a system of variables where each variable is defined as follows: h = c + 20; c = f + 15; f = j + 13; x = b + 1; j = p + 12; t = w + 11; b = d + 6; d = r + 13; r = t + 10; m = h + 16; g = m + 19; p = 7; w = p + 6. If p = 7, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"i": "w + 3", "k": "i + 5", "z": "k + 2", "q": "z + 15", "b": "q + 19", "u": "b + 11", "h": "w + 16", "s": "h + 6", "j": "s + 14", "o": "j + 20", "e": "o + 17", "p": "e + 19", "w": 15}, "premises": {"w": 15}, "target": "u"}, "answer": {"steps": [["b", "q + 19", "q + 30"], ["q", "z + 15", "z + 45"], ["z", "k + 2", "k + 47"], ["k", "i + 5", "i + 52"], ["i", "w + 3", "w + 55"], ["w", 15, "70"]], "target_var_name": "u", "target_value": 70, "value_dict": {"w": 15}, "is_reverse": true}} | 22,176 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = q + 19; s = h + 6; u = b + 11; e = o + 17; p = e + 19; o = j + 20; k = i + 5; w = 15; i = w + 3; q = z + 15; j = s + 14; h = w + 16; z = k + 2. If w = 15, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = q + 19 to u, which gives u = q + 30.\n2. Substitute q = z + 15 to u, which gives u = z + 45.\n3. Substitute z = k + 2 to u, which gives u = k + 47.\n4. Substitute k = i + 5 to u, which gives u = i + 52.\n5. Substitute i = w + 3 to u, which gives u = w + 55.\n6. Substitute w = 15 to u, which gives u = 70.\n\nThus, the final answer is u = \\boxed{70}.",
"index": 22176,
"question": "Consider a system of variables where each variable is defined as follows: b = q + 19; s = h + 6; u = b + 11; e = o + 17; p = e + 19; o = j + 20; k = i + 5; w = 15; i = w + 3; q = z + 15; j = s + 14; h = w + 16; z = k + 2. If w = 15, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"z": "k + 7", "g": "z + 13", "u": "g + 19", "q": "u + 6", "l": "q + 3", "m": "l + 13", "f": "k + 17", "v": "f + 13", "w": "v + 12", "b": "w + 1", "n": "b + 3", "t": "n + 15", "k": 6}, "premises": {"k": 6}, "target": "m"}, "answer": {"steps": [["l", "q + 3", "q + 16"], ["q", "u + 6", "u + 22"], ["u", "g + 19", "g + 41"], ["g", "z + 13", "z + 54"], ["z", "k + 7", "k + 61"], ["k", 6, "67"]], "target_var_name": "m", "target_value": 67, "value_dict": {"k": 6}, "is_reverse": true}} | 22,177 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = 6; l = q + 3; w = v + 12; u = g + 19; f = k + 17; n = b + 3; g = z + 13; v = f + 13; b = w + 1; t = n + 15; m = l + 13; z = k + 7; q = u + 6. If k = 6, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = q + 3 to m, which gives m = q + 16.\n2. Substitute q = u + 6 to m, which gives m = u + 22.\n3. Substitute u = g + 19 to m, which gives m = g + 41.\n4. Substitute g = z + 13 to m, which gives m = z + 54.\n5. Substitute z = k + 7 to m, which gives m = k + 61.\n6. Substitute k = 6 to m, which gives m = 67.\n\nThus, the final answer is m = \\boxed{67}.",
"index": 22177,
"question": "Consider a system of variables where each variable is defined as follows: k = 6; l = q + 3; w = v + 12; u = g + 19; f = k + 17; n = b + 3; g = z + 13; v = f + 13; b = w + 1; t = n + 15; m = l + 13; z = k + 7; q = u + 6. If k = 6, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"d": "s + 8", "k": "d + 3", "m": "k + 8", "h": "m + 12", "e": "h + 1", "c": "e + 1", "p": "s + 17", "u": "p + 5", "r": "u + 15", "y": "r + 1", "v": "y + 3", "w": "v + 20", "s": 10}, "premises": {"s": 10}, "target": "c"}, "answer": {"steps": [["e", "h + 1", "h + 2"], ["h", "m + 12", "m + 14"], ["m", "k + 8", "k + 22"], ["k", "d + 3", "d + 25"], ["d", "s + 8", "s + 33"], ["s", 10, "43"]], "target_var_name": "c", "target_value": 43, "value_dict": {"s": 10}, "is_reverse": true}} | 22,178 | 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 = h + 1; v = y + 3; p = s + 17; d = s + 8; w = v + 20; m = k + 8; r = u + 15; h = m + 12; c = e + 1; y = r + 1; s = 10; k = d + 3; u = p + 5. If s = 10, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = h + 1 to c, which gives c = h + 2.\n2. Substitute h = m + 12 to c, which gives c = m + 14.\n3. Substitute m = k + 8 to c, which gives c = k + 22.\n4. Substitute k = d + 3 to c, which gives c = d + 25.\n5. Substitute d = s + 8 to c, which gives c = s + 33.\n6. Substitute s = 10 to c, which gives c = 43.\n\nThus, the final answer is c = \\boxed{43}.",
"index": 22178,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = h + 1; v = y + 3; p = s + 17; d = s + 8; w = v + 20; m = k + 8; r = u + 15; h = m + 12; c = e + 1; y = r + 1; s = 10; k = d + 3; u = p + 5. If s = 10, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"c": "v + 6", "a": "c + 18", "r": "a + 8", "w": "r + 18", "m": "w + 7", "p": "m + 14", "e": "v + 4", "n": "e + 2", "h": "n + 7", "g": "h + 2", "f": "g + 18", "y": "f + 20", "v": 18}, "premises": {"v": 18}, "target": "p"}, "answer": {"steps": [["m", "w + 7", "w + 21"], ["w", "r + 18", "r + 39"], ["r", "a + 8", "a + 47"], ["a", "c + 18", "c + 65"], ["c", "v + 6", "v + 71"], ["v", 18, "89"]], "target_var_name": "p", "target_value": 89, "value_dict": {"v": 18}, "is_reverse": true}} | 22,179 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = n + 7; c = v + 6; f = g + 18; y = f + 20; r = a + 8; m = w + 7; e = v + 4; w = r + 18; n = e + 2; a = c + 18; v = 18; g = h + 2; p = m + 14. If v = 18, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = w + 7 to p, which gives p = w + 21.\n2. Substitute w = r + 18 to p, which gives p = r + 39.\n3. Substitute r = a + 8 to p, which gives p = a + 47.\n4. Substitute a = c + 18 to p, which gives p = c + 65.\n5. Substitute c = v + 6 to p, which gives p = v + 71.\n6. Substitute v = 18 to p, which gives p = 89.\n\nThus, the final answer is p = \\boxed{89}.",
"index": 22179,
"question": "Consider a system of variables where each variable is defined as follows: h = n + 7; c = v + 6; f = g + 18; y = f + 20; r = a + 8; m = w + 7; e = v + 4; w = r + 18; n = e + 2; a = c + 18; v = 18; g = h + 2; p = m + 14. If v = 18, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"r": "l + 13", "e": "r + 19", "c": "e + 3", "k": "c + 10", "w": "k + 11", "u": "w + 8", "q": "l + 8", "b": "q + 15", "z": "b + 8", "v": "z + 10", "o": "v + 15", "j": "o + 13", "l": 17}, "premises": {"l": 17}, "target": "u"}, "answer": {"steps": [["w", "k + 11", "k + 19"], ["k", "c + 10", "c + 29"], ["c", "e + 3", "e + 32"], ["e", "r + 19", "r + 51"], ["r", "l + 13", "l + 64"], ["l", 17, "81"]], "target_var_name": "u", "target_value": 81, "value_dict": {"l": 17}, "is_reverse": true}} | 22,180 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = z + 10; e = r + 19; u = w + 8; b = q + 15; k = c + 10; r = l + 13; j = o + 13; q = l + 8; l = 17; w = k + 11; o = v + 15; c = e + 3; z = b + 8. Given that l = 17, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = k + 11 to u, which gives u = k + 19.\n2. Substitute k = c + 10 to u, which gives u = c + 29.\n3. Substitute c = e + 3 to u, which gives u = e + 32.\n4. Substitute e = r + 19 to u, which gives u = r + 51.\n5. Substitute r = l + 13 to u, which gives u = l + 64.\n6. Substitute l = 17 to u, which gives u = 81.\n\nThus, the final answer is u = \\boxed{81}.",
"index": 22180,
"question": "Suppose a collection of variables is related by the following definitions: v = z + 10; e = r + 19; u = w + 8; b = q + 15; k = c + 10; r = l + 13; j = o + 13; q = l + 8; l = 17; w = k + 11; o = v + 15; c = e + 3; z = b + 8. Given that l = 17, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"d": "l + 11", "e": "d + 20", "j": "e + 16", "m": "j + 6", "s": "m + 7", "g": "s + 18", "n": "l + 9", "t": "n + 9", "h": "t + 13", "r": "h + 19", "f": "r + 18", "y": "f + 1", "l": 6}, "premises": {"l": 6}, "target": "g"}, "answer": {"steps": [["s", "m + 7", "m + 25"], ["m", "j + 6", "j + 31"], ["j", "e + 16", "e + 47"], ["e", "d + 20", "d + 67"], ["d", "l + 11", "l + 78"], ["l", 6, "84"]], "target_var_name": "g", "target_value": 84, "value_dict": {"l": 6}, "is_reverse": true}} | 22,181 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = n + 9; d = l + 11; f = r + 18; y = f + 1; m = j + 6; r = h + 19; h = t + 13; g = s + 18; s = m + 7; n = l + 9; e = d + 20; l = 6; j = e + 16. Given that l = 6, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = m + 7 to g, which gives g = m + 25.\n2. Substitute m = j + 6 to g, which gives g = j + 31.\n3. Substitute j = e + 16 to g, which gives g = e + 47.\n4. Substitute e = d + 20 to g, which gives g = d + 67.\n5. Substitute d = l + 11 to g, which gives g = l + 78.\n6. Substitute l = 6 to g, which gives g = 84.\n\nThus, the final answer is g = \\boxed{84}.",
"index": 22181,
"question": "Suppose a collection of variables is related by the following definitions: t = n + 9; d = l + 11; f = r + 18; y = f + 1; m = j + 6; r = h + 19; h = t + 13; g = s + 18; s = m + 7; n = l + 9; e = d + 20; l = 6; j = e + 16. Given that l = 6, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"n": "v + 3", "z": "n + 3", "b": "z + 16", "u": "b + 8", "e": "u + 6", "x": "e + 20", "h": "v + 8", "r": "h + 17", "o": "r + 14", "a": "o + 1", "t": "a + 18", "s": "t + 15", "v": 15}, "premises": {"v": 15}, "target": "x"}, "answer": {"steps": [["e", "u + 6", "u + 26"], ["u", "b + 8", "b + 34"], ["b", "z + 16", "z + 50"], ["z", "n + 3", "n + 53"], ["n", "v + 3", "v + 56"], ["v", 15, "71"]], "target_var_name": "x", "target_value": 71, "value_dict": {"v": 15}, "is_reverse": true}} | 22,182 | 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 = 15; z = n + 3; a = o + 1; s = t + 15; b = z + 16; t = a + 18; e = u + 6; x = e + 20; n = v + 3; u = b + 8; h = v + 8; o = r + 14; r = h + 17. If v = 15, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = u + 6 to x, which gives x = u + 26.\n2. Substitute u = b + 8 to x, which gives x = b + 34.\n3. Substitute b = z + 16 to x, which gives x = z + 50.\n4. Substitute z = n + 3 to x, which gives x = n + 53.\n5. Substitute n = v + 3 to x, which gives x = v + 56.\n6. Substitute v = 15 to x, which gives x = 71.\n\nThus, the final answer is x = \\boxed{71}.",
"index": 22182,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = 15; z = n + 3; a = o + 1; s = t + 15; b = z + 16; t = a + 18; e = u + 6; x = e + 20; n = v + 3; u = b + 8; h = v + 8; o = r + 14; r = h + 17. If v = 15, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"t": "g + 10", "v": "t + 18", "r": "v + 18", "j": "r + 12", "i": "j + 11", "q": "i + 7", "d": "g + 2", "l": "d + 17", "z": "l + 15", "m": "z + 2", "w": "m + 18", "p": "w + 13", "g": 18}, "premises": {"g": 18}, "target": "q"}, "answer": {"steps": [["i", "j + 11", "j + 18"], ["j", "r + 12", "r + 30"], ["r", "v + 18", "v + 48"], ["v", "t + 18", "t + 66"], ["t", "g + 10", "g + 76"], ["g", 18, "94"]], "target_var_name": "q", "target_value": 94, "value_dict": {"g": 18}, "is_reverse": true}} | 22,183 | 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 = v + 18; m = z + 2; j = r + 12; l = d + 17; g = 18; t = g + 10; d = g + 2; i = j + 11; z = l + 15; p = w + 13; v = t + 18; q = i + 7; w = m + 18. If g = 18, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = j + 11 to q, which gives q = j + 18.\n2. Substitute j = r + 12 to q, which gives q = r + 30.\n3. Substitute r = v + 18 to q, which gives q = v + 48.\n4. Substitute v = t + 18 to q, which gives q = t + 66.\n5. Substitute t = g + 10 to q, which gives q = g + 76.\n6. Substitute g = 18 to q, which gives q = 94.\n\nThus, the final answer is q = \\boxed{94}.",
"index": 22183,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = v + 18; m = z + 2; j = r + 12; l = d + 17; g = 18; t = g + 10; d = g + 2; i = j + 11; z = l + 15; p = w + 13; v = t + 18; q = i + 7; w = m + 18. If g = 18, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"x": "o + 3", "e": "x + 15", "b": "e + 20", "j": "b + 5", "s": "j + 12", "z": "s + 15", "h": "o + 13", "f": "h + 6", "c": "f + 7", "p": "c + 2", "d": "p + 3", "l": "d + 13", "o": 4}, "premises": {"o": 4}, "target": "z"}, "answer": {"steps": [["s", "j + 12", "j + 27"], ["j", "b + 5", "b + 32"], ["b", "e + 20", "e + 52"], ["e", "x + 15", "x + 67"], ["x", "o + 3", "o + 70"], ["o", 4, "74"]], "target_var_name": "z", "target_value": 74, "value_dict": {"o": 4}, "is_reverse": true}} | 22,184 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = x + 15; p = c + 2; z = s + 15; c = f + 7; h = o + 13; j = b + 5; b = e + 20; l = d + 13; d = p + 3; f = h + 6; x = o + 3; s = j + 12; o = 4. If o = 4, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = j + 12 to z, which gives z = j + 27.\n2. Substitute j = b + 5 to z, which gives z = b + 32.\n3. Substitute b = e + 20 to z, which gives z = e + 52.\n4. Substitute e = x + 15 to z, which gives z = x + 67.\n5. Substitute x = o + 3 to z, which gives z = o + 70.\n6. Substitute o = 4 to z, which gives z = 74.\n\nThus, the final answer is z = \\boxed{74}.",
"index": 22184,
"question": "Consider a system of variables where each variable is defined as follows: e = x + 15; p = c + 2; z = s + 15; c = f + 7; h = o + 13; j = b + 5; b = e + 20; l = d + 13; d = p + 3; f = h + 6; x = o + 3; s = j + 12; o = 4. If o = 4, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"e": "n + 1", "l": "e + 4", "h": "l + 1", "o": "h + 6", "c": "o + 20", "p": "c + 16", "y": "n + 7", "i": "y + 15", "z": "i + 15", "b": "z + 15", "a": "b + 14", "g": "a + 12", "n": 19}, "premises": {"n": 19}, "target": "p"}, "answer": {"steps": [["c", "o + 20", "o + 36"], ["o", "h + 6", "h + 42"], ["h", "l + 1", "l + 43"], ["l", "e + 4", "e + 47"], ["e", "n + 1", "n + 48"], ["n", 19, "67"]], "target_var_name": "p", "target_value": 67, "value_dict": {"n": 19}, "is_reverse": true}} | 22,185 | 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 = o + 20; e = n + 1; h = l + 1; z = i + 15; b = z + 15; a = b + 14; l = e + 4; i = y + 15; p = c + 16; n = 19; y = n + 7; o = h + 6; g = a + 12. If n = 19, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = o + 20 to p, which gives p = o + 36.\n2. Substitute o = h + 6 to p, which gives p = h + 42.\n3. Substitute h = l + 1 to p, which gives p = l + 43.\n4. Substitute l = e + 4 to p, which gives p = e + 47.\n5. Substitute e = n + 1 to p, which gives p = n + 48.\n6. Substitute n = 19 to p, which gives p = 67.\n\nThus, the final answer is p = \\boxed{67}.",
"index": 22185,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = o + 20; e = n + 1; h = l + 1; z = i + 15; b = z + 15; a = b + 14; l = e + 4; i = y + 15; p = c + 16; n = 19; y = n + 7; o = h + 6; g = a + 12. If n = 19, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"f": "o + 19", "n": "f + 4", "u": "n + 6", "x": "u + 16", "e": "x + 17", "c": "e + 2", "t": "o + 15", "b": "t + 9", "l": "b + 6", "y": "l + 14", "h": "y + 18", "r": "h + 2", "o": 15}, "premises": {"o": 15}, "target": "c"}, "answer": {"steps": [["e", "x + 17", "x + 19"], ["x", "u + 16", "u + 35"], ["u", "n + 6", "n + 41"], ["n", "f + 4", "f + 45"], ["f", "o + 19", "o + 64"], ["o", 15, "79"]], "target_var_name": "c", "target_value": 79, "value_dict": {"o": 15}, "is_reverse": true}} | 22,186 | 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 + 17; l = b + 6; n = f + 4; t = o + 15; b = t + 9; u = n + 6; c = e + 2; x = u + 16; o = 15; h = y + 18; f = o + 19; r = h + 2; y = l + 14. If o = 15, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = x + 17 to c, which gives c = x + 19.\n2. Substitute x = u + 16 to c, which gives c = u + 35.\n3. Substitute u = n + 6 to c, which gives c = n + 41.\n4. Substitute n = f + 4 to c, which gives c = f + 45.\n5. Substitute f = o + 19 to c, which gives c = o + 64.\n6. Substitute o = 15 to c, which gives c = 79.\n\nThus, the final answer is c = \\boxed{79}.",
"index": 22186,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = x + 17; l = b + 6; n = f + 4; t = o + 15; b = t + 9; u = n + 6; c = e + 2; x = u + 16; o = 15; h = y + 18; f = o + 19; r = h + 2; y = l + 14. If o = 15, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"i": "g + 10", "p": "i + 20", "h": "p + 20", "y": "h + 4", "f": "y + 5", "t": "f + 17", "k": "g + 6", "e": "k + 2", "c": "e + 1", "b": "c + 15", "a": "b + 10", "o": "a + 1", "g": 8}, "premises": {"g": 8}, "target": "t"}, "answer": {"steps": [["f", "y + 5", "y + 22"], ["y", "h + 4", "h + 26"], ["h", "p + 20", "p + 46"], ["p", "i + 20", "i + 66"], ["i", "g + 10", "g + 76"], ["g", 8, "84"]], "target_var_name": "t", "target_value": 84, "value_dict": {"g": 8}, "is_reverse": true}} | 22,187 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = a + 1; b = c + 15; f = y + 5; h = p + 20; y = h + 4; p = i + 20; g = 8; i = g + 10; e = k + 2; t = f + 17; a = b + 10; c = e + 1; k = g + 6. If g = 8, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = y + 5 to t, which gives t = y + 22.\n2. Substitute y = h + 4 to t, which gives t = h + 26.\n3. Substitute h = p + 20 to t, which gives t = p + 46.\n4. Substitute p = i + 20 to t, which gives t = i + 66.\n5. Substitute i = g + 10 to t, which gives t = g + 76.\n6. Substitute g = 8 to t, which gives t = 84.\n\nThus, the final answer is t = \\boxed{84}.",
"index": 22187,
"question": "Consider a system of variables where each variable is defined as follows: o = a + 1; b = c + 15; f = y + 5; h = p + 20; y = h + 4; p = i + 20; g = 8; i = g + 10; e = k + 2; t = f + 17; a = b + 10; c = e + 1; k = g + 6. If g = 8, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"m": "d + 10", "k": "m + 14", "e": "k + 8", "s": "e + 4", "v": "s + 13", "z": "v + 2", "q": "d + 6", "y": "q + 3", "t": "y + 19", "p": "t + 15", "c": "p + 19", "a": "c + 20", "d": 13}, "premises": {"d": 13}, "target": "z"}, "answer": {"steps": [["v", "s + 13", "s + 15"], ["s", "e + 4", "e + 19"], ["e", "k + 8", "k + 27"], ["k", "m + 14", "m + 41"], ["m", "d + 10", "d + 51"], ["d", 13, "64"]], "target_var_name": "z", "target_value": 64, "value_dict": {"d": 13}, "is_reverse": true}} | 22,188 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = d + 6; t = y + 19; z = v + 2; s = e + 4; v = s + 13; d = 13; e = k + 8; a = c + 20; c = p + 19; y = q + 3; m = d + 10; k = m + 14; p = t + 15. If d = 13, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = s + 13 to z, which gives z = s + 15.\n2. Substitute s = e + 4 to z, which gives z = e + 19.\n3. Substitute e = k + 8 to z, which gives z = k + 27.\n4. Substitute k = m + 14 to z, which gives z = m + 41.\n5. Substitute m = d + 10 to z, which gives z = d + 51.\n6. Substitute d = 13 to z, which gives z = 64.\n\nThus, the final answer is z = \\boxed{64}.",
"index": 22188,
"question": "Consider a system of variables where each variable is defined as follows: q = d + 6; t = y + 19; z = v + 2; s = e + 4; v = s + 13; d = 13; e = k + 8; a = c + 20; c = p + 19; y = q + 3; m = d + 10; k = m + 14; p = t + 15. If d = 13, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"m": "e + 5", "c": "m + 20", "b": "c + 12", "g": "b + 14", "l": "g + 5", "d": "l + 3", "w": "e + 2", "y": "w + 5", "f": "y + 16", "p": "f + 5", "o": "p + 17", "s": "o + 13", "e": 14}, "premises": {"e": 14}, "target": "d"}, "answer": {"steps": [["l", "g + 5", "g + 8"], ["g", "b + 14", "b + 22"], ["b", "c + 12", "c + 34"], ["c", "m + 20", "m + 54"], ["m", "e + 5", "e + 59"], ["e", 14, "73"]], "target_var_name": "d", "target_value": 73, "value_dict": {"e": 14}, "is_reverse": true}} | 22,189 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = e + 5; w = e + 2; g = b + 14; e = 14; o = p + 17; c = m + 20; l = g + 5; d = l + 3; s = o + 13; y = w + 5; p = f + 5; f = y + 16; b = c + 12. Given that e = 14, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = g + 5 to d, which gives d = g + 8.\n2. Substitute g = b + 14 to d, which gives d = b + 22.\n3. Substitute b = c + 12 to d, which gives d = c + 34.\n4. Substitute c = m + 20 to d, which gives d = m + 54.\n5. Substitute m = e + 5 to d, which gives d = e + 59.\n6. Substitute e = 14 to d, which gives d = 73.\n\nThus, the final answer is d = \\boxed{73}.",
"index": 22189,
"question": "Suppose a collection of variables is related by the following definitions: m = e + 5; w = e + 2; g = b + 14; e = 14; o = p + 17; c = m + 20; l = g + 5; d = l + 3; s = o + 13; y = w + 5; p = f + 5; f = y + 16; b = c + 12. Given that e = 14, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"x": "j + 14", "k": "x + 7", "z": "k + 10", "v": "z + 16", "w": "v + 9", "c": "w + 2", "d": "j + 18", "t": "d + 11", "h": "t + 13", "s": "h + 8", "o": "s + 3", "q": "o + 10", "j": 12}, "premises": {"j": 12}, "target": "c"}, "answer": {"steps": [["w", "v + 9", "v + 11"], ["v", "z + 16", "z + 27"], ["z", "k + 10", "k + 37"], ["k", "x + 7", "x + 44"], ["x", "j + 14", "j + 58"], ["j", 12, "70"]], "target_var_name": "c", "target_value": 70, "value_dict": {"j": 12}, "is_reverse": true}} | 22,190 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = j + 14; j = 12; q = o + 10; k = x + 7; h = t + 13; d = j + 18; c = w + 2; z = k + 10; w = v + 9; v = z + 16; s = h + 8; o = s + 3; t = d + 11. If j = 12, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = v + 9 to c, which gives c = v + 11.\n2. Substitute v = z + 16 to c, which gives c = z + 27.\n3. Substitute z = k + 10 to c, which gives c = k + 37.\n4. Substitute k = x + 7 to c, which gives c = x + 44.\n5. Substitute x = j + 14 to c, which gives c = j + 58.\n6. Substitute j = 12 to c, which gives c = 70.\n\nThus, the final answer is c = \\boxed{70}.",
"index": 22190,
"question": "Consider a system of variables where each variable is defined as follows: x = j + 14; j = 12; q = o + 10; k = x + 7; h = t + 13; d = j + 18; c = w + 2; z = k + 10; w = v + 9; v = z + 16; s = h + 8; o = s + 3; t = d + 11. If j = 12, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"l": "t + 8", "d": "l + 1", "f": "d + 7", "h": "f + 14", "u": "h + 11", "q": "u + 17", "c": "t + 15", "y": "c + 10", "n": "y + 18", "e": "n + 12", "k": "e + 7", "i": "k + 1", "t": 18}, "premises": {"t": 18}, "target": "q"}, "answer": {"steps": [["u", "h + 11", "h + 28"], ["h", "f + 14", "f + 42"], ["f", "d + 7", "d + 49"], ["d", "l + 1", "l + 50"], ["l", "t + 8", "t + 58"], ["t", 18, "76"]], "target_var_name": "q", "target_value": 76, "value_dict": {"t": 18}, "is_reverse": true}} | 22,191 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = h + 11; e = n + 12; k = e + 7; n = y + 18; h = f + 14; q = u + 17; l = t + 8; i = k + 1; y = c + 10; t = 18; f = d + 7; c = t + 15; d = l + 1. Given that t = 18, find the 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 u = h + 11 to q, which gives q = h + 28.\n2. Substitute h = f + 14 to q, which gives q = f + 42.\n3. Substitute f = d + 7 to q, which gives q = d + 49.\n4. Substitute d = l + 1 to q, which gives q = l + 50.\n5. Substitute l = t + 8 to q, which gives q = t + 58.\n6. Substitute t = 18 to q, which gives q = 76.\n\nThus, the final answer is q = \\boxed{76}.",
"index": 22191,
"question": "Suppose a collection of variables is related by the following definitions: u = h + 11; e = n + 12; k = e + 7; n = y + 18; h = f + 14; q = u + 17; l = t + 8; i = k + 1; y = c + 10; t = 18; f = d + 7; c = t + 15; d = l + 1. Given that t = 18, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"t": "o + 17", "q": "t + 4", "n": "q + 16", "f": "n + 10", "g": "f + 3", "y": "g + 5", "x": "o + 10", "e": "x + 17", "r": "e + 18", "i": "r + 5", "b": "i + 7", "d": "b + 10", "o": 4}, "premises": {"o": 4}, "target": "y"}, "answer": {"steps": [["g", "f + 3", "f + 8"], ["f", "n + 10", "n + 18"], ["n", "q + 16", "q + 34"], ["q", "t + 4", "t + 38"], ["t", "o + 17", "o + 55"], ["o", 4, "59"]], "target_var_name": "y", "target_value": 59, "value_dict": {"o": 4}, "is_reverse": true}} | 22,192 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = g + 5; r = e + 18; o = 4; e = x + 17; f = n + 10; n = q + 16; i = r + 5; g = f + 3; x = o + 10; t = o + 17; q = t + 4; d = b + 10; b = i + 7. If o = 4, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = f + 3 to y, which gives y = f + 8.\n2. Substitute f = n + 10 to y, which gives y = n + 18.\n3. Substitute n = q + 16 to y, which gives y = q + 34.\n4. Substitute q = t + 4 to y, which gives y = t + 38.\n5. Substitute t = o + 17 to y, which gives y = o + 55.\n6. Substitute o = 4 to y, which gives y = 59.\n\nThus, the final answer is y = \\boxed{59}.",
"index": 22192,
"question": "Consider a system of variables where each variable is defined as follows: y = g + 5; r = e + 18; o = 4; e = x + 17; f = n + 10; n = q + 16; i = r + 5; g = f + 3; x = o + 10; t = o + 17; q = t + 4; d = b + 10; b = i + 7. If o = 4, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"u": "g + 19", "j": "u + 18", "k": "j + 10", "v": "k + 13", "n": "v + 2", "r": "n + 5", "y": "g + 5", "h": "y + 10", "z": "h + 20", "b": "z + 11", "l": "b + 20", "x": "l + 2", "g": 8}, "premises": {"g": 8}, "target": "r"}, "answer": {"steps": [["n", "v + 2", "v + 7"], ["v", "k + 13", "k + 20"], ["k", "j + 10", "j + 30"], ["j", "u + 18", "u + 48"], ["u", "g + 19", "g + 67"], ["g", 8, "75"]], "target_var_name": "r", "target_value": 75, "value_dict": {"g": 8}, "is_reverse": true}} | 22,193 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = b + 20; v = k + 13; h = y + 10; k = j + 10; g = 8; r = n + 5; j = u + 18; y = g + 5; n = v + 2; z = h + 20; u = g + 19; b = z + 11; x = l + 2. If g = 8, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = v + 2 to r, which gives r = v + 7.\n2. Substitute v = k + 13 to r, which gives r = k + 20.\n3. Substitute k = j + 10 to r, which gives r = j + 30.\n4. Substitute j = u + 18 to r, which gives r = u + 48.\n5. Substitute u = g + 19 to r, which gives r = g + 67.\n6. Substitute g = 8 to r, which gives r = 75.\n\nThus, the final answer is r = \\boxed{75}.",
"index": 22193,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = b + 20; v = k + 13; h = y + 10; k = j + 10; g = 8; r = n + 5; j = u + 18; y = g + 5; n = v + 2; z = h + 20; u = g + 19; b = z + 11; x = l + 2. If g = 8, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"i": "w + 11", "v": "i + 1", "k": "v + 18", "e": "k + 10", "d": "e + 15", "x": "d + 8", "j": "w + 2", "u": "j + 11", "g": "u + 10", "r": "g + 1", "l": "r + 13", "b": "l + 17", "w": 13}, "premises": {"w": 13}, "target": "x"}, "answer": {"steps": [["d", "e + 15", "e + 23"], ["e", "k + 10", "k + 33"], ["k", "v + 18", "v + 51"], ["v", "i + 1", "i + 52"], ["i", "w + 11", "w + 63"], ["w", 13, "76"]], "target_var_name": "x", "target_value": 76, "value_dict": {"w": 13}, "is_reverse": true}} | 22,194 | 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 = v + 18; l = r + 13; d = e + 15; j = w + 2; b = l + 17; w = 13; u = j + 11; v = i + 1; x = d + 8; i = w + 11; e = k + 10; r = g + 1; g = u + 10. If w = 13, what is the resulting 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 d = e + 15 to x, which gives x = e + 23.\n2. Substitute e = k + 10 to x, which gives x = k + 33.\n3. Substitute k = v + 18 to x, which gives x = v + 51.\n4. Substitute v = i + 1 to x, which gives x = i + 52.\n5. Substitute i = w + 11 to x, which gives x = w + 63.\n6. Substitute w = 13 to x, which gives x = 76.\n\nThus, the final answer is x = \\boxed{76}.",
"index": 22194,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = v + 18; l = r + 13; d = e + 15; j = w + 2; b = l + 17; w = 13; u = j + 11; v = i + 1; x = d + 8; i = w + 11; e = k + 10; r = g + 1; g = u + 10. If w = 13, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"z": "s + 11", "e": "z + 7", "c": "e + 7", "y": "c + 12", "q": "y + 8", "t": "q + 18", "o": "s + 1", "b": "o + 6", "k": "b + 13", "r": "k + 6", "f": "r + 12", "h": "f + 2", "s": 1}, "premises": {"s": 1}, "target": "t"}, "answer": {"steps": [["q", "y + 8", "y + 26"], ["y", "c + 12", "c + 38"], ["c", "e + 7", "e + 45"], ["e", "z + 7", "z + 52"], ["z", "s + 11", "s + 63"], ["s", 1, "64"]], "target_var_name": "t", "target_value": 64, "value_dict": {"s": 1}, "is_reverse": true}} | 22,195 | 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 = c + 12; t = q + 18; f = r + 12; q = y + 8; r = k + 6; k = b + 13; c = e + 7; h = f + 2; e = z + 7; b = o + 6; s = 1; o = s + 1; z = s + 11. If s = 1, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = y + 8 to t, which gives t = y + 26.\n2. Substitute y = c + 12 to t, which gives t = c + 38.\n3. Substitute c = e + 7 to t, which gives t = e + 45.\n4. Substitute e = z + 7 to t, which gives t = z + 52.\n5. Substitute z = s + 11 to t, which gives t = s + 63.\n6. Substitute s = 1 to t, which gives t = 64.\n\nThus, the final answer is t = \\boxed{64}.",
"index": 22195,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = c + 12; t = q + 18; f = r + 12; q = y + 8; r = k + 6; k = b + 13; c = e + 7; h = f + 2; e = z + 7; b = o + 6; s = 1; o = s + 1; z = s + 11. If s = 1, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"e": "z + 2", "m": "e + 8", "r": "m + 2", "x": "r + 12", "w": "x + 9", "n": "w + 20", "i": "z + 6", "p": "i + 6", "k": "p + 7", "t": "k + 15", "d": "t + 17", "s": "d + 10", "z": 15}, "premises": {"z": 15}, "target": "n"}, "answer": {"steps": [["w", "x + 9", "x + 29"], ["x", "r + 12", "r + 41"], ["r", "m + 2", "m + 43"], ["m", "e + 8", "e + 51"], ["e", "z + 2", "z + 53"], ["z", 15, "68"]], "target_var_name": "n", "target_value": 68, "value_dict": {"z": 15}, "is_reverse": true}} | 22,196 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = w + 20; i = z + 6; t = k + 15; p = i + 6; e = z + 2; x = r + 12; k = p + 7; w = x + 9; d = t + 17; m = e + 8; s = d + 10; z = 15; r = m + 2. Given that z = 15, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = x + 9 to n, which gives n = x + 29.\n2. Substitute x = r + 12 to n, which gives n = r + 41.\n3. Substitute r = m + 2 to n, which gives n = m + 43.\n4. Substitute m = e + 8 to n, which gives n = e + 51.\n5. Substitute e = z + 2 to n, which gives n = z + 53.\n6. Substitute z = 15 to n, which gives n = 68.\n\nThus, the final answer is n = \\boxed{68}.",
"index": 22196,
"question": "Suppose a collection of variables is related by the following definitions: n = w + 20; i = z + 6; t = k + 15; p = i + 6; e = z + 2; x = r + 12; k = p + 7; w = x + 9; d = t + 17; m = e + 8; s = d + 10; z = 15; r = m + 2. Given that z = 15, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"a": "n + 4", "h": "a + 8", "d": "h + 12", "k": "d + 17", "g": "k + 9", "l": "g + 10", "c": "n + 13", "e": "c + 10", "m": "e + 7", "b": "m + 3", "x": "b + 16", "w": "x + 18", "n": 2}, "premises": {"n": 2}, "target": "l"}, "answer": {"steps": [["g", "k + 9", "k + 19"], ["k", "d + 17", "d + 36"], ["d", "h + 12", "h + 48"], ["h", "a + 8", "a + 56"], ["a", "n + 4", "n + 60"], ["n", 2, "62"]], "target_var_name": "l", "target_value": 62, "value_dict": {"n": 2}, "is_reverse": true}} | 22,197 | 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 = b + 16; k = d + 17; m = e + 7; n = 2; a = n + 4; h = a + 8; e = c + 10; w = x + 18; l = g + 10; b = m + 3; d = h + 12; g = k + 9; c = n + 13. If n = 2, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = k + 9 to l, which gives l = k + 19.\n2. Substitute k = d + 17 to l, which gives l = d + 36.\n3. Substitute d = h + 12 to l, which gives l = h + 48.\n4. Substitute h = a + 8 to l, which gives l = a + 56.\n5. Substitute a = n + 4 to l, which gives l = n + 60.\n6. Substitute n = 2 to l, which gives l = 62.\n\nThus, the final answer is l = \\boxed{62}.",
"index": 22197,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = b + 16; k = d + 17; m = e + 7; n = 2; a = n + 4; h = a + 8; e = c + 10; w = x + 18; l = g + 10; b = m + 3; d = h + 12; g = k + 9; c = n + 13. If n = 2, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"q": "t + 1", "u": "q + 7", "y": "u + 1", "k": "y + 8", "e": "k + 14", "l": "e + 18", "j": "t + 10", "n": "j + 15", "h": "n + 9", "m": "h + 15", "g": "m + 13", "d": "g + 14", "t": 18}, "premises": {"t": 18}, "target": "l"}, "answer": {"steps": [["e", "k + 14", "k + 32"], ["k", "y + 8", "y + 40"], ["y", "u + 1", "u + 41"], ["u", "q + 7", "q + 48"], ["q", "t + 1", "t + 49"], ["t", 18, "67"]], "target_var_name": "l", "target_value": 67, "value_dict": {"t": 18}, "is_reverse": true}} | 22,198 | 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 = k + 14; j = t + 10; d = g + 14; n = j + 15; m = h + 15; q = t + 1; l = e + 18; h = n + 9; g = m + 13; k = y + 8; y = u + 1; t = 18; u = q + 7. If t = 18, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = k + 14 to l, which gives l = k + 32.\n2. Substitute k = y + 8 to l, which gives l = y + 40.\n3. Substitute y = u + 1 to l, which gives l = u + 41.\n4. Substitute u = q + 7 to l, which gives l = q + 48.\n5. Substitute q = t + 1 to l, which gives l = t + 49.\n6. Substitute t = 18 to l, which gives l = 67.\n\nThus, the final answer is l = \\boxed{67}.",
"index": 22198,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = k + 14; j = t + 10; d = g + 14; n = j + 15; m = h + 15; q = t + 1; l = e + 18; h = n + 9; g = m + 13; k = y + 8; y = u + 1; t = 18; u = q + 7. If t = 18, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"u": "s + 2", "o": "u + 9", "q": "o + 1", "f": "q + 7", "g": "f + 20", "e": "g + 17", "r": "s + 16", "z": "r + 20", "l": "z + 18", "i": "l + 9", "h": "i + 14", "j": "h + 18", "s": 6}, "premises": {"s": 6}, "target": "e"}, "answer": {"steps": [["g", "f + 20", "f + 37"], ["f", "q + 7", "q + 44"], ["q", "o + 1", "o + 45"], ["o", "u + 9", "u + 54"], ["u", "s + 2", "s + 56"], ["s", 6, "62"]], "target_var_name": "e", "target_value": 62, "value_dict": {"s": 6}, "is_reverse": true}} | 22,199 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = h + 18; f = q + 7; o = u + 9; g = f + 20; h = i + 14; u = s + 2; q = o + 1; r = s + 16; i = l + 9; l = z + 18; s = 6; e = g + 17; z = r + 20. If s = 6, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = f + 20 to e, which gives e = f + 37.\n2. Substitute f = q + 7 to e, which gives e = q + 44.\n3. Substitute q = o + 1 to e, which gives e = o + 45.\n4. Substitute o = u + 9 to e, which gives e = u + 54.\n5. Substitute u = s + 2 to e, which gives e = s + 56.\n6. Substitute s = 6 to e, which gives e = 62.\n\nThus, the final answer is e = \\boxed{62}.",
"index": 22199,
"question": "Consider a system of variables where each variable is defined as follows: j = h + 18; f = q + 7; o = u + 9; g = f + 20; h = i + 14; u = s + 2; q = o + 1; r = s + 16; i = l + 9; l = z + 18; s = 6; e = g + 17; z = r + 20. If s = 6, determine the value of e.",
"split": "train"
} |
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