meta string | id int64 | problem_solution_idx int64 | world_id string | data_source string | prompt list | ability string | reward_model dict | extra_info dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"c": "i + 9", "k": "c + 5", "w": "k + 7", "j": "w + 14", "n": "j + 10", "s": "n + 16", "z": "i + 18", "p": "z + 9", "h": "p + 19", "y": "h + 18", "d": "y + 1", "q": "d + 3", "i": 2}, "premises": {"i": 2}, "target": "s"}, "answer": {"steps": [["c", "i + 9", 11], ["k", "c + 5", 16], ["w", "k + 7", 23], ["j", "w + 14", 37], ["n", "j + 10", 47], ["s", "n + 16", 63]], "target_var_name": "s", "target_value": 63, "value_dict": {"i": 2, "c": 11, "k": 16, "w": 23, "j": 37, "n": 47, "s": 63}, "is_reverse": false}} | 400 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = i + 9; i = 2; h = p + 19; k = c + 5; n = j + 10; s = n + 16; w = k + 7; d = y + 1; q = d + 3; p = z + 9; j = w + 14; z = i + 18; y = h + 18. Given that i = 2, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = i + 9, which gives c = 11.\n2. Compute k using k = c + 5, which gives k = 16.\n3. Compute w using w = k + 7, which gives w = 23.\n4. Compute j using j = w + 14, which gives j = 37.\n5. Compute n using n = j + 10, which gives n = 47.\n6. Compute s using s = n + 16, which gives s = 63.\n\nThus, the final answer is s = \\boxed{63}.",
"index": 400,
"question": "Suppose a collection of variables is related by the following definitions: c = i + 9; i = 2; h = p + 19; k = c + 5; n = j + 10; s = n + 16; w = k + 7; d = y + 1; q = d + 3; p = z + 9; j = w + 14; z = i + 18; y = h + 18. Given that i = 2, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"m": "p + 9", "t": "m + 20", "c": "t + 2", "s": "c + 8", "k": "s + 19", "n": "k + 20", "o": "p + 1", "g": "o + 17", "w": "g + 10", "r": "w + 2", "l": "r + 13", "y": "l + 17", "p": 9}, "premises": {"p": 9}, "target": "n"}, "answer": {"steps": [["m", "p + 9", 18], ["t", "m + 20", 38], ["c", "t + 2", 40], ["s", "c + 8", 48], ["k", "s + 19", 67], ["n", "k + 20", 87]], "target_var_name": "n", "target_value": 87, "value_dict": {"p": 9, "m": 18, "t": 38, "c": 40, "s": 48, "k": 67, "n": 87}, "is_reverse": false}} | 401 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = p + 9; n = k + 20; r = w + 2; g = o + 17; s = c + 8; k = s + 19; w = g + 10; t = m + 20; l = r + 13; c = t + 2; p = 9; y = l + 17; o = p + 1. If p = 9, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = p + 9, which gives m = 18.\n2. Compute t using t = m + 20, which gives t = 38.\n3. Compute c using c = t + 2, which gives c = 40.\n4. Compute s using s = c + 8, which gives s = 48.\n5. Compute k using k = s + 19, which gives k = 67.\n6. Compute n using n = k + 20, which gives n = 87.\n\nThus, the final answer is n = \\boxed{87}.",
"index": 401,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = p + 9; n = k + 20; r = w + 2; g = o + 17; s = c + 8; k = s + 19; w = g + 10; t = m + 20; l = r + 13; c = t + 2; p = 9; y = l + 17; o = p + 1. If p = 9, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"g": "x + 13", "b": "g + 5", "n": "b + 15", "d": "n + 6", "v": "d + 6", "c": "v + 18", "j": "x + 19", "r": "j + 10", "k": "r + 19", "w": "k + 8", "p": "w + 1", "f": "p + 9", "x": 15}, "premises": {"x": 15}, "target": "c"}, "answer": {"steps": [["g", "x + 13", 28], ["b", "g + 5", 33], ["n", "b + 15", 48], ["d", "n + 6", 54], ["v", "d + 6", 60], ["c", "v + 18", 78]], "target_var_name": "c", "target_value": 78, "value_dict": {"x": 15, "g": 28, "b": 33, "n": 48, "d": 54, "v": 60, "c": 78}, "is_reverse": false}} | 402 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = g + 5; w = k + 8; c = v + 18; x = 15; p = w + 1; k = r + 19; d = n + 6; v = d + 6; g = x + 13; j = x + 19; f = p + 9; n = b + 15; r = j + 10. If x = 15, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = x + 13, which gives g = 28.\n2. Compute b using b = g + 5, which gives b = 33.\n3. Compute n using n = b + 15, which gives n = 48.\n4. Compute d using d = n + 6, which gives d = 54.\n5. Compute v using v = d + 6, which gives v = 60.\n6. Compute c using c = v + 18, which gives c = 78.\n\nThus, the final answer is c = \\boxed{78}.",
"index": 402,
"question": "Consider a system of variables where each variable is defined as follows: b = g + 5; w = k + 8; c = v + 18; x = 15; p = w + 1; k = r + 19; d = n + 6; v = d + 6; g = x + 13; j = x + 19; f = p + 9; n = b + 15; r = j + 10. If x = 15, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"y": "h + 12", "l": "y + 19", "b": "l + 9", "w": "b + 19", "q": "w + 10", "r": "q + 20", "p": "h + 2", "j": "p + 12", "z": "j + 8", "i": "z + 15", "t": "i + 17", "d": "t + 14", "h": 10}, "premises": {"h": 10}, "target": "r"}, "answer": {"steps": [["q", "w + 10", "w + 30"], ["w", "b + 19", "b + 49"], ["b", "l + 9", "l + 58"], ["l", "y + 19", "y + 77"], ["y", "h + 12", "h + 89"], ["h", 10, "99"]], "target_var_name": "r", "target_value": 99, "value_dict": {"h": 10}, "is_reverse": true}} | 403 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = q + 20; l = y + 19; b = l + 9; t = i + 17; h = 10; z = j + 8; i = z + 15; j = p + 12; d = t + 14; w = b + 19; y = h + 12; q = w + 10; p = h + 2. If h = 10, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = w + 10 to r, which gives r = w + 30.\n2. Substitute w = b + 19 to r, which gives r = b + 49.\n3. Substitute b = l + 9 to r, which gives r = l + 58.\n4. Substitute l = y + 19 to r, which gives r = y + 77.\n5. Substitute y = h + 12 to r, which gives r = h + 89.\n6. Substitute h = 10 to r, which gives r = 99.\n\nThus, the final answer is r = \\boxed{99}.",
"index": 403,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = q + 20; l = y + 19; b = l + 9; t = i + 17; h = 10; z = j + 8; i = z + 15; j = p + 12; d = t + 14; w = b + 19; y = h + 12; q = w + 10; p = h + 2. If h = 10, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"t": "z + 17", "c": "t + 6", "d": "c + 12", "s": "d + 4", "g": "s + 16", "v": "g + 11", "q": "z + 7", "w": "q + 4", "m": "w + 20", "j": "m + 16", "u": "j + 13", "r": "u + 10", "z": 16}, "premises": {"z": 16}, "target": "v"}, "answer": {"steps": [["g", "s + 16", "s + 27"], ["s", "d + 4", "d + 31"], ["d", "c + 12", "c + 43"], ["c", "t + 6", "t + 49"], ["t", "z + 17", "z + 66"], ["z", 16, "82"]], "target_var_name": "v", "target_value": 82, "value_dict": {"z": 16}, "is_reverse": true}} | 404 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = q + 4; m = w + 20; j = m + 16; s = d + 4; g = s + 16; q = z + 7; d = c + 12; u = j + 13; r = u + 10; c = t + 6; z = 16; v = g + 11; t = z + 17. Given that z = 16, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = s + 16 to v, which gives v = s + 27.\n2. Substitute s = d + 4 to v, which gives v = d + 31.\n3. Substitute d = c + 12 to v, which gives v = c + 43.\n4. Substitute c = t + 6 to v, which gives v = t + 49.\n5. Substitute t = z + 17 to v, which gives v = z + 66.\n6. Substitute z = 16 to v, which gives v = 82.\n\nThus, the final answer is v = \\boxed{82}.",
"index": 404,
"question": "Suppose a collection of variables is related by the following definitions: w = q + 4; m = w + 20; j = m + 16; s = d + 4; g = s + 16; q = z + 7; d = c + 12; u = j + 13; r = u + 10; c = t + 6; z = 16; v = g + 11; t = z + 17. Given that z = 16, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"v": "k + 11", "g": "v + 1", "w": "g + 4", "c": "w + 4", "d": "c + 15", "n": "d + 10", "a": "k + 8", "y": "a + 8", "x": "y + 11", "r": "x + 4", "l": "r + 16", "h": "l + 4", "k": 18}, "premises": {"k": 18}, "target": "n"}, "answer": {"steps": [["d", "c + 15", "c + 25"], ["c", "w + 4", "w + 29"], ["w", "g + 4", "g + 33"], ["g", "v + 1", "v + 34"], ["v", "k + 11", "k + 45"], ["k", 18, "63"]], "target_var_name": "n", "target_value": 63, "value_dict": {"k": 18}, "is_reverse": true}} | 405 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = c + 15; c = w + 4; k = 18; g = v + 1; v = k + 11; r = x + 4; w = g + 4; n = d + 10; l = r + 16; a = k + 8; y = a + 8; x = y + 11; h = l + 4. If k = 18, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = c + 15 to n, which gives n = c + 25.\n2. Substitute c = w + 4 to n, which gives n = w + 29.\n3. Substitute w = g + 4 to n, which gives n = g + 33.\n4. Substitute g = v + 1 to n, which gives n = v + 34.\n5. Substitute v = k + 11 to n, which gives n = k + 45.\n6. Substitute k = 18 to n, which gives n = 63.\n\nThus, the final answer is n = \\boxed{63}.",
"index": 405,
"question": "Consider a system of variables where each variable is defined as follows: d = c + 15; c = w + 4; k = 18; g = v + 1; v = k + 11; r = x + 4; w = g + 4; n = d + 10; l = r + 16; a = k + 8; y = a + 8; x = y + 11; h = l + 4. If k = 18, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"w": "l + 8", "e": "w + 3", "u": "e + 3", "d": "u + 1", "v": "d + 13", "a": "v + 18", "j": "l + 12", "t": "j + 2", "h": "t + 1", "z": "h + 3", "c": "z + 1", "s": "c + 11", "l": 16}, "premises": {"l": 16}, "target": "a"}, "answer": {"steps": [["v", "d + 13", "d + 31"], ["d", "u + 1", "u + 32"], ["u", "e + 3", "e + 35"], ["e", "w + 3", "w + 38"], ["w", "l + 8", "l + 46"], ["l", 16, "62"]], "target_var_name": "a", "target_value": 62, "value_dict": {"l": 16}, "is_reverse": true}} | 406 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = e + 3; s = c + 11; a = v + 18; t = j + 2; z = h + 3; d = u + 1; j = l + 12; h = t + 1; e = w + 3; w = l + 8; c = z + 1; v = d + 13; l = 16. Given that l = 16, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = d + 13 to a, which gives a = d + 31.\n2. Substitute d = u + 1 to a, which gives a = u + 32.\n3. Substitute u = e + 3 to a, which gives a = e + 35.\n4. Substitute e = w + 3 to a, which gives a = w + 38.\n5. Substitute w = l + 8 to a, which gives a = l + 46.\n6. Substitute l = 16 to a, which gives a = 62.\n\nThus, the final answer is a = \\boxed{62}.",
"index": 406,
"question": "Suppose a collection of variables is related by the following definitions: u = e + 3; s = c + 11; a = v + 18; t = j + 2; z = h + 3; d = u + 1; j = l + 12; h = t + 1; e = w + 3; w = l + 8; c = z + 1; v = d + 13; l = 16. Given that l = 16, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"m": "n + 10", "f": "m + 4", "b": "f + 14", "w": "b + 2", "q": "w + 3", "s": "q + 5", "e": "n + 5", "v": "e + 12", "d": "v + 5", "j": "d + 20", "h": "j + 14", "p": "h + 10", "n": 8}, "premises": {"n": 8}, "target": "s"}, "answer": {"steps": [["m", "n + 10", 18], ["f", "m + 4", 22], ["b", "f + 14", 36], ["w", "b + 2", 38], ["q", "w + 3", 41], ["s", "q + 5", 46]], "target_var_name": "s", "target_value": 46, "value_dict": {"n": 8, "m": 18, "f": 22, "b": 36, "w": 38, "q": 41, "s": 46}, "is_reverse": false}} | 407 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = f + 14; v = e + 12; h = j + 14; j = d + 20; e = n + 5; m = n + 10; w = b + 2; q = w + 3; d = v + 5; n = 8; s = q + 5; p = h + 10; f = m + 4. If n = 8, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = n + 10, which gives m = 18.\n2. Compute f using f = m + 4, which gives f = 22.\n3. Compute b using b = f + 14, which gives b = 36.\n4. Compute w using w = b + 2, which gives w = 38.\n5. Compute q using q = w + 3, which gives q = 41.\n6. Compute s using s = q + 5, which gives s = 46.\n\nThus, the final answer is s = \\boxed{46}.",
"index": 407,
"question": "Consider a system of variables where each variable is defined as follows: b = f + 14; v = e + 12; h = j + 14; j = d + 20; e = n + 5; m = n + 10; w = b + 2; q = w + 3; d = v + 5; n = 8; s = q + 5; p = h + 10; f = m + 4. If n = 8, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"g": "z + 4", "i": "g + 4", "w": "i + 12", "k": "w + 20", "e": "k + 3", "d": "e + 2", "y": "z + 14", "l": "y + 4", "c": "l + 20", "m": "c + 8", "h": "m + 2", "u": "h + 2", "z": 18}, "premises": {"z": 18}, "target": "d"}, "answer": {"steps": [["g", "z + 4", 22], ["i", "g + 4", 26], ["w", "i + 12", 38], ["k", "w + 20", 58], ["e", "k + 3", 61], ["d", "e + 2", 63]], "target_var_name": "d", "target_value": 63, "value_dict": {"z": 18, "g": 22, "i": 26, "w": 38, "k": 58, "e": 61, "d": 63}, "is_reverse": false}} | 408 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = e + 2; i = g + 4; e = k + 3; l = y + 4; c = l + 20; y = z + 14; u = h + 2; k = w + 20; m = c + 8; z = 18; h = m + 2; g = z + 4; w = i + 12. If z = 18, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = z + 4, which gives g = 22.\n2. Compute i using i = g + 4, which gives i = 26.\n3. Compute w using w = i + 12, which gives w = 38.\n4. Compute k using k = w + 20, which gives k = 58.\n5. Compute e using e = k + 3, which gives e = 61.\n6. Compute d using d = e + 2, which gives d = 63.\n\nThus, the final answer is d = \\boxed{63}.",
"index": 408,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = e + 2; i = g + 4; e = k + 3; l = y + 4; c = l + 20; y = z + 14; u = h + 2; k = w + 20; m = c + 8; z = 18; h = m + 2; g = z + 4; w = i + 12. If z = 18, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"t": "s + 20", "b": "t + 18", "r": "b + 11", "m": "r + 19", "n": "m + 11", "q": "n + 7", "w": "s + 20", "f": "w + 7", "y": "f + 6", "o": "y + 3", "d": "o + 12", "k": "d + 1", "s": 16}, "premises": {"s": 16}, "target": "q"}, "answer": {"steps": [["n", "m + 11", "m + 18"], ["m", "r + 19", "r + 37"], ["r", "b + 11", "b + 48"], ["b", "t + 18", "t + 66"], ["t", "s + 20", "s + 86"], ["s", 16, "102"]], "target_var_name": "q", "target_value": 102, "value_dict": {"s": 16}, "is_reverse": true}} | 409 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = w + 7; d = o + 12; o = y + 3; m = r + 19; r = b + 11; b = t + 18; y = f + 6; s = 16; q = n + 7; n = m + 11; k = d + 1; w = s + 20; t = s + 20. If s = 16, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 102,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = m + 11 to q, which gives q = m + 18.\n2. Substitute m = r + 19 to q, which gives q = r + 37.\n3. Substitute r = b + 11 to q, which gives q = b + 48.\n4. Substitute b = t + 18 to q, which gives q = t + 66.\n5. Substitute t = s + 20 to q, which gives q = s + 86.\n6. Substitute s = 16 to q, which gives q = 102.\n\nThus, the final answer is q = \\boxed{102}.",
"index": 409,
"question": "Consider a system of variables where each variable is defined as follows: f = w + 7; d = o + 12; o = y + 3; m = r + 19; r = b + 11; b = t + 18; y = f + 6; s = 16; q = n + 7; n = m + 11; k = d + 1; w = s + 20; t = s + 20. If s = 16, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"l": "j + 7", "f": "l + 14", "o": "f + 16", "u": "o + 12", "y": "u + 16", "g": "y + 6", "z": "j + 13", "a": "z + 15", "h": "a + 1", "q": "h + 17", "e": "q + 13", "p": "e + 4", "j": 1}, "premises": {"j": 1}, "target": "g"}, "answer": {"steps": [["y", "u + 16", "u + 22"], ["u", "o + 12", "o + 34"], ["o", "f + 16", "f + 50"], ["f", "l + 14", "l + 64"], ["l", "j + 7", "j + 71"], ["j", 1, "72"]], "target_var_name": "g", "target_value": 72, "value_dict": {"j": 1}, "is_reverse": true}} | 410 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = j + 13; y = u + 16; e = q + 13; q = h + 17; h = a + 1; u = o + 12; l = j + 7; g = y + 6; j = 1; f = l + 14; o = f + 16; a = z + 15; p = e + 4. Given that j = 1, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = u + 16 to g, which gives g = u + 22.\n2. Substitute u = o + 12 to g, which gives g = o + 34.\n3. Substitute o = f + 16 to g, which gives g = f + 50.\n4. Substitute f = l + 14 to g, which gives g = l + 64.\n5. Substitute l = j + 7 to g, which gives g = j + 71.\n6. Substitute j = 1 to g, which gives g = 72.\n\nThus, the final answer is g = \\boxed{72}.",
"index": 410,
"question": "Suppose a collection of variables is related by the following definitions: z = j + 13; y = u + 16; e = q + 13; q = h + 17; h = a + 1; u = o + 12; l = j + 7; g = y + 6; j = 1; f = l + 14; o = f + 16; a = z + 15; p = e + 4. Given that j = 1, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"k": "o + 19", "j": "k + 17", "x": "j + 19", "e": "x + 11", "v": "e + 6", "l": "v + 15", "s": "o + 5", "r": "s + 8", "n": "r + 10", "c": "n + 14", "t": "c + 9", "q": "t + 20", "o": 4}, "premises": {"o": 4}, "target": "l"}, "answer": {"steps": [["k", "o + 19", 23], ["j", "k + 17", 40], ["x", "j + 19", 59], ["e", "x + 11", 70], ["v", "e + 6", 76], ["l", "v + 15", 91]], "target_var_name": "l", "target_value": 91, "value_dict": {"o": 4, "k": 23, "j": 40, "x": 59, "e": 70, "v": 76, "l": 91}, "is_reverse": false}} | 411 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = k + 17; t = c + 9; e = x + 11; o = 4; r = s + 8; q = t + 20; s = o + 5; v = e + 6; x = j + 19; n = r + 10; l = v + 15; c = n + 14; k = o + 19. Given that o = 4, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = o + 19, which gives k = 23.\n2. Compute j using j = k + 17, which gives j = 40.\n3. Compute x using x = j + 19, which gives x = 59.\n4. Compute e using e = x + 11, which gives e = 70.\n5. Compute v using v = e + 6, which gives v = 76.\n6. Compute l using l = v + 15, which gives l = 91.\n\nThus, the final answer is l = \\boxed{91}.",
"index": 411,
"question": "Suppose a collection of variables is related by the following definitions: j = k + 17; t = c + 9; e = x + 11; o = 4; r = s + 8; q = t + 20; s = o + 5; v = e + 6; x = j + 19; n = r + 10; l = v + 15; c = n + 14; k = o + 19. Given that o = 4, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"z": "s + 14", "o": "z + 13", "j": "o + 9", "p": "j + 6", "m": "p + 3", "c": "m + 12", "g": "s + 8", "i": "g + 2", "w": "i + 8", "n": "w + 14", "e": "n + 15", "a": "e + 17", "s": 15}, "premises": {"s": 15}, "target": "c"}, "answer": {"steps": [["z", "s + 14", 29], ["o", "z + 13", 42], ["j", "o + 9", 51], ["p", "j + 6", 57], ["m", "p + 3", 60], ["c", "m + 12", 72]], "target_var_name": "c", "target_value": 72, "value_dict": {"s": 15, "z": 29, "o": 42, "j": 51, "p": 57, "m": 60, "c": 72}, "is_reverse": false}} | 412 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = m + 12; m = p + 3; s = 15; j = o + 9; i = g + 2; o = z + 13; a = e + 17; n = w + 14; g = s + 8; e = n + 15; p = j + 6; z = s + 14; w = i + 8. If s = 15, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = s + 14, which gives z = 29.\n2. Compute o using o = z + 13, which gives o = 42.\n3. Compute j using j = o + 9, which gives j = 51.\n4. Compute p using p = j + 6, which gives p = 57.\n5. Compute m using m = p + 3, which gives m = 60.\n6. Compute c using c = m + 12, which gives c = 72.\n\nThus, the final answer is c = \\boxed{72}.",
"index": 412,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = m + 12; m = p + 3; s = 15; j = o + 9; i = g + 2; o = z + 13; a = e + 17; n = w + 14; g = s + 8; e = n + 15; p = j + 6; z = s + 14; w = i + 8. If s = 15, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"s": "r + 16", "b": "s + 8", "y": "b + 3", "v": "y + 1", "q": "v + 5", "g": "q + 7", "n": "r + 11", "d": "n + 17", "h": "d + 6", "m": "h + 8", "w": "m + 4", "j": "w + 13", "r": 2}, "premises": {"r": 2}, "target": "g"}, "answer": {"steps": [["q", "v + 5", "v + 12"], ["v", "y + 1", "y + 13"], ["y", "b + 3", "b + 16"], ["b", "s + 8", "s + 24"], ["s", "r + 16", "r + 40"], ["r", 2, "42"]], "target_var_name": "g", "target_value": 42, "value_dict": {"r": 2}, "is_reverse": true}} | 413 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = w + 13; m = h + 8; g = q + 7; s = r + 16; v = y + 1; q = v + 5; d = n + 17; b = s + 8; h = d + 6; y = b + 3; w = m + 4; n = r + 11; r = 2. If r = 2, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 42,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = v + 5 to g, which gives g = v + 12.\n2. Substitute v = y + 1 to g, which gives g = y + 13.\n3. Substitute y = b + 3 to g, which gives g = b + 16.\n4. Substitute b = s + 8 to g, which gives g = s + 24.\n5. Substitute s = r + 16 to g, which gives g = r + 40.\n6. Substitute r = 2 to g, which gives g = 42.\n\nThus, the final answer is g = \\boxed{42}.",
"index": 413,
"question": "Consider a system of variables where each variable is defined as follows: j = w + 13; m = h + 8; g = q + 7; s = r + 16; v = y + 1; q = v + 5; d = n + 17; b = s + 8; h = d + 6; y = b + 3; w = m + 4; n = r + 11; r = 2. If r = 2, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"j": "k + 14", "o": "j + 12", "a": "o + 14", "m": "a + 7", "r": "m + 3", "v": "r + 2", "b": "k + 8", "n": "b + 20", "l": "n + 14", "z": "l + 12", "g": "z + 11", "y": "g + 5", "k": 12}, "premises": {"k": 12}, "target": "v"}, "answer": {"steps": [["j", "k + 14", 26], ["o", "j + 12", 38], ["a", "o + 14", 52], ["m", "a + 7", 59], ["r", "m + 3", 62], ["v", "r + 2", 64]], "target_var_name": "v", "target_value": 64, "value_dict": {"k": 12, "j": 26, "o": 38, "a": 52, "m": 59, "r": 62, "v": 64}, "is_reverse": false}} | 414 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = n + 14; v = r + 2; z = l + 12; g = z + 11; j = k + 14; y = g + 5; k = 12; b = k + 8; m = a + 7; o = j + 12; n = b + 20; r = m + 3; a = o + 14. Given that k = 12, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = k + 14, which gives j = 26.\n2. Compute o using o = j + 12, which gives o = 38.\n3. Compute a using a = o + 14, which gives a = 52.\n4. Compute m using m = a + 7, which gives m = 59.\n5. Compute r using r = m + 3, which gives r = 62.\n6. Compute v using v = r + 2, which gives v = 64.\n\nThus, the final answer is v = \\boxed{64}.",
"index": 414,
"question": "Suppose a collection of variables is related by the following definitions: l = n + 14; v = r + 2; z = l + 12; g = z + 11; j = k + 14; y = g + 5; k = 12; b = k + 8; m = a + 7; o = j + 12; n = b + 20; r = m + 3; a = o + 14. Given that k = 12, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"p": "w + 5", "i": "p + 14", "q": "i + 1", "f": "q + 13", "k": "f + 10", "g": "k + 9", "z": "w + 12", "d": "z + 14", "c": "d + 10", "y": "c + 14", "m": "y + 19", "j": "m + 12", "w": 14}, "premises": {"w": 14}, "target": "g"}, "answer": {"steps": [["p", "w + 5", 19], ["i", "p + 14", 33], ["q", "i + 1", 34], ["f", "q + 13", 47], ["k", "f + 10", 57], ["g", "k + 9", 66]], "target_var_name": "g", "target_value": 66, "value_dict": {"w": 14, "p": 19, "i": 33, "q": 34, "f": 47, "k": 57, "g": 66}, "is_reverse": false}} | 415 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = m + 12; g = k + 9; w = 14; m = y + 19; d = z + 14; k = f + 10; i = p + 14; p = w + 5; f = q + 13; z = w + 12; q = i + 1; c = d + 10; y = c + 14. If w = 14, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = w + 5, which gives p = 19.\n2. Compute i using i = p + 14, which gives i = 33.\n3. Compute q using q = i + 1, which gives q = 34.\n4. Compute f using f = q + 13, which gives f = 47.\n5. Compute k using k = f + 10, which gives k = 57.\n6. Compute g using g = k + 9, which gives g = 66.\n\nThus, the final answer is g = \\boxed{66}.",
"index": 415,
"question": "Consider a system of variables where each variable is defined as follows: j = m + 12; g = k + 9; w = 14; m = y + 19; d = z + 14; k = f + 10; i = p + 14; p = w + 5; f = q + 13; z = w + 12; q = i + 1; c = d + 10; y = c + 14. If w = 14, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"j": "z + 15", "y": "j + 2", "m": "y + 2", "b": "m + 10", "i": "b + 15", "c": "i + 12", "n": "z + 8", "o": "n + 2", "a": "o + 6", "k": "a + 12", "t": "k + 16", "p": "t + 15", "z": 18}, "premises": {"z": 18}, "target": "c"}, "answer": {"steps": [["j", "z + 15", 33], ["y", "j + 2", 35], ["m", "y + 2", 37], ["b", "m + 10", 47], ["i", "b + 15", 62], ["c", "i + 12", 74]], "target_var_name": "c", "target_value": 74, "value_dict": {"z": 18, "j": 33, "y": 35, "m": 37, "b": 47, "i": 62, "c": 74}, "is_reverse": false}} | 416 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = z + 15; b = m + 10; n = z + 8; p = t + 15; m = y + 2; y = j + 2; c = i + 12; i = b + 15; o = n + 2; t = k + 16; a = o + 6; k = a + 12; z = 18. Given that z = 18, find 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. Compute j using j = z + 15, which gives j = 33.\n2. Compute y using y = j + 2, which gives y = 35.\n3. Compute m using m = y + 2, which gives m = 37.\n4. Compute b using b = m + 10, which gives b = 47.\n5. Compute i using i = b + 15, which gives i = 62.\n6. Compute c using c = i + 12, which gives c = 74.\n\nThus, the final answer is c = \\boxed{74}.",
"index": 416,
"question": "Suppose a collection of variables is related by the following definitions: j = z + 15; b = m + 10; n = z + 8; p = t + 15; m = y + 2; y = j + 2; c = i + 12; i = b + 15; o = n + 2; t = k + 16; a = o + 6; k = a + 12; z = 18. Given that z = 18, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"n": "s + 8", "j": "n + 12", "k": "j + 9", "h": "k + 19", "q": "h + 11", "w": "q + 8", "m": "s + 14", "u": "m + 14", "t": "u + 11", "d": "t + 7", "o": "d + 18", "y": "o + 19", "s": 16}, "premises": {"s": 16}, "target": "w"}, "answer": {"steps": [["q", "h + 11", "h + 19"], ["h", "k + 19", "k + 38"], ["k", "j + 9", "j + 47"], ["j", "n + 12", "n + 59"], ["n", "s + 8", "s + 67"], ["s", 16, "83"]], "target_var_name": "w", "target_value": 83, "value_dict": {"s": 16}, "is_reverse": true}} | 417 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = j + 9; u = m + 14; m = s + 14; s = 16; j = n + 12; w = q + 8; d = t + 7; t = u + 11; n = s + 8; o = d + 18; q = h + 11; y = o + 19; h = k + 19. Given that s = 16, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = h + 11 to w, which gives w = h + 19.\n2. Substitute h = k + 19 to w, which gives w = k + 38.\n3. Substitute k = j + 9 to w, which gives w = j + 47.\n4. Substitute j = n + 12 to w, which gives w = n + 59.\n5. Substitute n = s + 8 to w, which gives w = s + 67.\n6. Substitute s = 16 to w, which gives w = 83.\n\nThus, the final answer is w = \\boxed{83}.",
"index": 417,
"question": "Suppose a collection of variables is related by the following definitions: k = j + 9; u = m + 14; m = s + 14; s = 16; j = n + 12; w = q + 8; d = t + 7; t = u + 11; n = s + 8; o = d + 18; q = h + 11; y = o + 19; h = k + 19. Given that s = 16, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"g": "i + 7", "e": "g + 19", "s": "e + 17", "v": "s + 2", "k": "v + 6", "p": "k + 3", "t": "i + 1", "j": "t + 15", "h": "j + 16", "l": "h + 16", "u": "l + 14", "w": "u + 5", "i": 13}, "premises": {"i": 13}, "target": "p"}, "answer": {"steps": [["g", "i + 7", 20], ["e", "g + 19", 39], ["s", "e + 17", 56], ["v", "s + 2", 58], ["k", "v + 6", 64], ["p", "k + 3", 67]], "target_var_name": "p", "target_value": 67, "value_dict": {"i": 13, "g": 20, "e": 39, "s": 56, "v": 58, "k": 64, "p": 67}, "is_reverse": false}} | 418 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = k + 3; t = i + 1; g = i + 7; k = v + 6; l = h + 16; w = u + 5; j = t + 15; e = g + 19; v = s + 2; h = j + 16; s = e + 17; u = l + 14; i = 13. If i = 13, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = i + 7, which gives g = 20.\n2. Compute e using e = g + 19, which gives e = 39.\n3. Compute s using s = e + 17, which gives s = 56.\n4. Compute v using v = s + 2, which gives v = 58.\n5. Compute k using k = v + 6, which gives k = 64.\n6. Compute p using p = k + 3, which gives p = 67.\n\nThus, the final answer is p = \\boxed{67}.",
"index": 418,
"question": "Consider a system of variables where each variable is defined as follows: p = k + 3; t = i + 1; g = i + 7; k = v + 6; l = h + 16; w = u + 5; j = t + 15; e = g + 19; v = s + 2; h = j + 16; s = e + 17; u = l + 14; i = 13. If i = 13, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"w": "u + 16", "j": "w + 12", "h": "j + 10", "d": "h + 20", "p": "d + 11", "m": "p + 16", "v": "u + 1", "e": "v + 20", "y": "e + 10", "x": "y + 13", "b": "x + 18", "k": "b + 18", "u": 16}, "premises": {"u": 16}, "target": "m"}, "answer": {"steps": [["w", "u + 16", 32], ["j", "w + 12", 44], ["h", "j + 10", 54], ["d", "h + 20", 74], ["p", "d + 11", 85], ["m", "p + 16", 101]], "target_var_name": "m", "target_value": 101, "value_dict": {"u": 16, "w": 32, "j": 44, "h": 54, "d": 74, "p": 85, "m": 101}, "is_reverse": false}} | 419 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = u + 16; b = x + 18; e = v + 20; k = b + 18; j = w + 12; u = 16; m = p + 16; p = d + 11; y = e + 10; d = h + 20; v = u + 1; x = y + 13; h = j + 10. If u = 16, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = u + 16, which gives w = 32.\n2. Compute j using j = w + 12, which gives j = 44.\n3. Compute h using h = j + 10, which gives h = 54.\n4. Compute d using d = h + 20, which gives d = 74.\n5. Compute p using p = d + 11, which gives p = 85.\n6. Compute m using m = p + 16, which gives m = 101.\n\nThus, the final answer is m = \\boxed{101}.",
"index": 419,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = u + 16; b = x + 18; e = v + 20; k = b + 18; j = w + 12; u = 16; m = p + 16; p = d + 11; y = e + 10; d = h + 20; v = u + 1; x = y + 13; h = j + 10. If u = 16, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"m": "u + 9", "k": "m + 20", "d": "k + 5", "g": "d + 7", "b": "g + 15", "q": "b + 10", "p": "u + 13", "h": "p + 2", "t": "h + 9", "c": "t + 6", "o": "c + 1", "e": "o + 2", "u": 5}, "premises": {"u": 5}, "target": "q"}, "answer": {"steps": [["m", "u + 9", 14], ["k", "m + 20", 34], ["d", "k + 5", 39], ["g", "d + 7", 46], ["b", "g + 15", 61], ["q", "b + 10", 71]], "target_var_name": "q", "target_value": 71, "value_dict": {"u": 5, "m": 14, "k": 34, "d": 39, "g": 46, "b": 61, "q": 71}, "is_reverse": false}} | 420 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = o + 2; c = t + 6; q = b + 10; h = p + 2; o = c + 1; u = 5; k = m + 20; g = d + 7; d = k + 5; t = h + 9; b = g + 15; m = u + 9; p = u + 13. Given that u = 5, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = u + 9, which gives m = 14.\n2. Compute k using k = m + 20, which gives k = 34.\n3. Compute d using d = k + 5, which gives d = 39.\n4. Compute g using g = d + 7, which gives g = 46.\n5. Compute b using b = g + 15, which gives b = 61.\n6. Compute q using q = b + 10, which gives q = 71.\n\nThus, the final answer is q = \\boxed{71}.",
"index": 420,
"question": "Suppose a collection of variables is related by the following definitions: e = o + 2; c = t + 6; q = b + 10; h = p + 2; o = c + 1; u = 5; k = m + 20; g = d + 7; d = k + 5; t = h + 9; b = g + 15; m = u + 9; p = u + 13. Given that u = 5, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"q": "u + 1", "o": "q + 7", "n": "o + 8", "f": "n + 1", "k": "f + 7", "c": "k + 12", "i": "u + 7", "r": "i + 7", "z": "r + 7", "x": "z + 11", "s": "x + 20", "g": "s + 8", "u": 9}, "premises": {"u": 9}, "target": "c"}, "answer": {"steps": [["k", "f + 7", "f + 19"], ["f", "n + 1", "n + 20"], ["n", "o + 8", "o + 28"], ["o", "q + 7", "q + 35"], ["q", "u + 1", "u + 36"], ["u", 9, "45"]], "target_var_name": "c", "target_value": 45, "value_dict": {"u": 9}, "is_reverse": true}} | 421 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = 9; f = n + 1; q = u + 1; x = z + 11; n = o + 8; g = s + 8; k = f + 7; z = r + 7; r = i + 7; o = q + 7; c = k + 12; i = u + 7; s = x + 20. Given that u = 9, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = f + 7 to c, which gives c = f + 19.\n2. Substitute f = n + 1 to c, which gives c = n + 20.\n3. Substitute n = o + 8 to c, which gives c = o + 28.\n4. Substitute o = q + 7 to c, which gives c = q + 35.\n5. Substitute q = u + 1 to c, which gives c = u + 36.\n6. Substitute u = 9 to c, which gives c = 45.\n\nThus, the final answer is c = \\boxed{45}.",
"index": 421,
"question": "Suppose a collection of variables is related by the following definitions: u = 9; f = n + 1; q = u + 1; x = z + 11; n = o + 8; g = s + 8; k = f + 7; z = r + 7; r = i + 7; o = q + 7; c = k + 12; i = u + 7; s = x + 20. Given that u = 9, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"u": "c + 5", "k": "u + 11", "o": "k + 7", "p": "o + 19", "y": "p + 18", "q": "y + 16", "e": "c + 10", "g": "e + 2", "x": "g + 8", "v": "x + 18", "f": "v + 15", "w": "f + 1", "c": 17}, "premises": {"c": 17}, "target": "q"}, "answer": {"steps": [["y", "p + 18", "p + 34"], ["p", "o + 19", "o + 53"], ["o", "k + 7", "k + 60"], ["k", "u + 11", "u + 71"], ["u", "c + 5", "c + 76"], ["c", 17, "93"]], "target_var_name": "q", "target_value": 93, "value_dict": {"c": 17}, "is_reverse": true}} | 422 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = e + 2; u = c + 5; c = 17; v = x + 18; w = f + 1; p = o + 19; k = u + 11; f = v + 15; e = c + 10; o = k + 7; y = p + 18; q = y + 16; x = g + 8. Given that c = 17, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = p + 18 to q, which gives q = p + 34.\n2. Substitute p = o + 19 to q, which gives q = o + 53.\n3. Substitute o = k + 7 to q, which gives q = k + 60.\n4. Substitute k = u + 11 to q, which gives q = u + 71.\n5. Substitute u = c + 5 to q, which gives q = c + 76.\n6. Substitute c = 17 to q, which gives q = 93.\n\nThus, the final answer is q = \\boxed{93}.",
"index": 422,
"question": "Suppose a collection of variables is related by the following definitions: g = e + 2; u = c + 5; c = 17; v = x + 18; w = f + 1; p = o + 19; k = u + 11; f = v + 15; e = c + 10; o = k + 7; y = p + 18; q = y + 16; x = g + 8. Given that c = 17, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"e": "n + 11", "j": "e + 18", "x": "j + 1", "v": "x + 9", "a": "v + 15", "c": "a + 16", "z": "n + 8", "w": "z + 11", "r": "w + 2", "i": "r + 4", "y": "i + 5", "u": "y + 10", "n": 14}, "premises": {"n": 14}, "target": "c"}, "answer": {"steps": [["e", "n + 11", 25], ["j", "e + 18", 43], ["x", "j + 1", 44], ["v", "x + 9", 53], ["a", "v + 15", 68], ["c", "a + 16", 84]], "target_var_name": "c", "target_value": 84, "value_dict": {"n": 14, "e": 25, "j": 43, "x": 44, "v": 53, "a": 68, "c": 84}, "is_reverse": false}} | 423 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = w + 2; c = a + 16; u = y + 10; e = n + 11; w = z + 11; a = v + 15; n = 14; y = i + 5; j = e + 18; z = n + 8; v = x + 9; i = r + 4; x = j + 1. If n = 14, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = n + 11, which gives e = 25.\n2. Compute j using j = e + 18, which gives j = 43.\n3. Compute x using x = j + 1, which gives x = 44.\n4. Compute v using v = x + 9, which gives v = 53.\n5. Compute a using a = v + 15, which gives a = 68.\n6. Compute c using c = a + 16, which gives c = 84.\n\nThus, the final answer is c = \\boxed{84}.",
"index": 423,
"question": "Consider a system of variables where each variable is defined as follows: r = w + 2; c = a + 16; u = y + 10; e = n + 11; w = z + 11; a = v + 15; n = 14; y = i + 5; j = e + 18; z = n + 8; v = x + 9; i = r + 4; x = j + 1. If n = 14, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"c": "n + 20", "o": "c + 2", "b": "o + 20", "k": "b + 20", "f": "k + 14", "a": "f + 17", "l": "n + 9", "g": "l + 8", "w": "g + 8", "j": "w + 7", "m": "j + 14", "t": "m + 15", "n": 8}, "premises": {"n": 8}, "target": "a"}, "answer": {"steps": [["c", "n + 20", 28], ["o", "c + 2", 30], ["b", "o + 20", 50], ["k", "b + 20", 70], ["f", "k + 14", 84], ["a", "f + 17", 101]], "target_var_name": "a", "target_value": 101, "value_dict": {"n": 8, "c": 28, "o": 30, "b": 50, "k": 70, "f": 84, "a": 101}, "is_reverse": false}} | 424 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = m + 15; b = o + 20; l = n + 9; m = j + 14; o = c + 2; j = w + 7; a = f + 17; g = l + 8; n = 8; f = k + 14; w = g + 8; c = n + 20; k = b + 20. If n = 8, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = n + 20, which gives c = 28.\n2. Compute o using o = c + 2, which gives o = 30.\n3. Compute b using b = o + 20, which gives b = 50.\n4. Compute k using k = b + 20, which gives k = 70.\n5. Compute f using f = k + 14, which gives f = 84.\n6. Compute a using a = f + 17, which gives a = 101.\n\nThus, the final answer is a = \\boxed{101}.",
"index": 424,
"question": "Consider a system of variables where each variable is defined as follows: t = m + 15; b = o + 20; l = n + 9; m = j + 14; o = c + 2; j = w + 7; a = f + 17; g = l + 8; n = 8; f = k + 14; w = g + 8; c = n + 20; k = b + 20. If n = 8, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"o": "l + 9", "g": "o + 2", "w": "g + 8", "j": "w + 1", "u": "j + 20", "e": "u + 3", "y": "l + 2", "z": "y + 7", "v": "z + 18", "t": "v + 4", "m": "t + 6", "r": "m + 7", "l": 14}, "premises": {"l": 14}, "target": "e"}, "answer": {"steps": [["o", "l + 9", 23], ["g", "o + 2", 25], ["w", "g + 8", 33], ["j", "w + 1", 34], ["u", "j + 20", 54], ["e", "u + 3", 57]], "target_var_name": "e", "target_value": 57, "value_dict": {"l": 14, "o": 23, "g": 25, "w": 33, "j": 34, "u": 54, "e": 57}, "is_reverse": false}} | 425 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = v + 4; u = j + 20; o = l + 9; j = w + 1; e = u + 3; m = t + 6; v = z + 18; y = l + 2; z = y + 7; w = g + 8; r = m + 7; g = o + 2; l = 14. If l = 14, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = l + 9, which gives o = 23.\n2. Compute g using g = o + 2, which gives g = 25.\n3. Compute w using w = g + 8, which gives w = 33.\n4. Compute j using j = w + 1, which gives j = 34.\n5. Compute u using u = j + 20, which gives u = 54.\n6. Compute e using e = u + 3, which gives e = 57.\n\nThus, the final answer is e = \\boxed{57}.",
"index": 425,
"question": "Consider a system of variables where each variable is defined as follows: t = v + 4; u = j + 20; o = l + 9; j = w + 1; e = u + 3; m = t + 6; v = z + 18; y = l + 2; z = y + 7; w = g + 8; r = m + 7; g = o + 2; l = 14. If l = 14, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"n": "y + 17", "j": "n + 12", "k": "j + 15", "u": "k + 11", "t": "u + 11", "m": "t + 4", "c": "y + 14", "p": "c + 17", "a": "p + 20", "d": "a + 15", "z": "d + 6", "h": "z + 10", "y": 14}, "premises": {"y": 14}, "target": "m"}, "answer": {"steps": [["n", "y + 17", 31], ["j", "n + 12", 43], ["k", "j + 15", 58], ["u", "k + 11", 69], ["t", "u + 11", 80], ["m", "t + 4", 84]], "target_var_name": "m", "target_value": 84, "value_dict": {"y": 14, "n": 31, "j": 43, "k": 58, "u": 69, "t": 80, "m": 84}, "is_reverse": false}} | 426 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = n + 12; h = z + 10; a = p + 20; d = a + 15; t = u + 11; k = j + 15; u = k + 11; m = t + 4; c = y + 14; z = d + 6; n = y + 17; y = 14; p = c + 17. Given that y = 14, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = y + 17, which gives n = 31.\n2. Compute j using j = n + 12, which gives j = 43.\n3. Compute k using k = j + 15, which gives k = 58.\n4. Compute u using u = k + 11, which gives u = 69.\n5. Compute t using t = u + 11, which gives t = 80.\n6. Compute m using m = t + 4, which gives m = 84.\n\nThus, the final answer is m = \\boxed{84}.",
"index": 426,
"question": "Suppose a collection of variables is related by the following definitions: j = n + 12; h = z + 10; a = p + 20; d = a + 15; t = u + 11; k = j + 15; u = k + 11; m = t + 4; c = y + 14; z = d + 6; n = y + 17; y = 14; p = c + 17. Given that y = 14, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"w": "x + 3", "d": "w + 8", "s": "d + 13", "v": "s + 9", "u": "v + 12", "a": "u + 7", "f": "x + 5", "p": "f + 16", "l": "p + 5", "k": "l + 5", "h": "k + 10", "y": "h + 13", "x": 16}, "premises": {"x": 16}, "target": "a"}, "answer": {"steps": [["u", "v + 12", "v + 19"], ["v", "s + 9", "s + 28"], ["s", "d + 13", "d + 41"], ["d", "w + 8", "w + 49"], ["w", "x + 3", "x + 52"], ["x", 16, "68"]], "target_var_name": "a", "target_value": 68, "value_dict": {"x": 16}, "is_reverse": true}} | 427 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = p + 5; a = u + 7; v = s + 9; k = l + 5; d = w + 8; u = v + 12; p = f + 16; f = x + 5; y = h + 13; s = d + 13; h = k + 10; x = 16; w = x + 3. If x = 16, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = v + 12 to a, which gives a = v + 19.\n2. Substitute v = s + 9 to a, which gives a = s + 28.\n3. Substitute s = d + 13 to a, which gives a = d + 41.\n4. Substitute d = w + 8 to a, which gives a = w + 49.\n5. Substitute w = x + 3 to a, which gives a = x + 52.\n6. Substitute x = 16 to a, which gives a = 68.\n\nThus, the final answer is a = \\boxed{68}.",
"index": 427,
"question": "Consider a system of variables where each variable is defined as follows: l = p + 5; a = u + 7; v = s + 9; k = l + 5; d = w + 8; u = v + 12; p = f + 16; f = x + 5; y = h + 13; s = d + 13; h = k + 10; x = 16; w = x + 3. If x = 16, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"r": "e + 1", "g": "r + 13", "q": "g + 13", "w": "q + 14", "n": "w + 9", "c": "n + 4", "z": "e + 3", "t": "z + 14", "o": "t + 1", "s": "o + 7", "b": "s + 8", "p": "b + 11", "e": 18}, "premises": {"e": 18}, "target": "c"}, "answer": {"steps": [["n", "w + 9", "w + 13"], ["w", "q + 14", "q + 27"], ["q", "g + 13", "g + 40"], ["g", "r + 13", "r + 53"], ["r", "e + 1", "e + 54"], ["e", 18, "72"]], "target_var_name": "c", "target_value": 72, "value_dict": {"e": 18}, "is_reverse": true}} | 428 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = b + 11; c = n + 4; o = t + 1; s = o + 7; r = e + 1; w = q + 14; n = w + 9; q = g + 13; b = s + 8; e = 18; z = e + 3; g = r + 13; t = z + 14. If e = 18, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = w + 9 to c, which gives c = w + 13.\n2. Substitute w = q + 14 to c, which gives c = q + 27.\n3. Substitute q = g + 13 to c, which gives c = g + 40.\n4. Substitute g = r + 13 to c, which gives c = r + 53.\n5. Substitute r = e + 1 to c, which gives c = e + 54.\n6. Substitute e = 18 to c, which gives c = 72.\n\nThus, the final answer is c = \\boxed{72}.",
"index": 428,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = b + 11; c = n + 4; o = t + 1; s = o + 7; r = e + 1; w = q + 14; n = w + 9; q = g + 13; b = s + 8; e = 18; z = e + 3; g = r + 13; t = z + 14. If e = 18, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"x": "z + 8", "h": "x + 1", "l": "h + 17", "u": "l + 6", "c": "u + 7", "s": "c + 2", "w": "z + 17", "v": "w + 13", "p": "v + 1", "t": "p + 10", "n": "t + 16", "i": "n + 5", "z": 5}, "premises": {"z": 5}, "target": "s"}, "answer": {"steps": [["c", "u + 7", "u + 9"], ["u", "l + 6", "l + 15"], ["l", "h + 17", "h + 32"], ["h", "x + 1", "x + 33"], ["x", "z + 8", "z + 41"], ["z", 5, "46"]], "target_var_name": "s", "target_value": 46, "value_dict": {"z": 5}, "is_reverse": true}} | 429 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = w + 13; n = t + 16; u = l + 6; s = c + 2; c = u + 7; w = z + 17; t = p + 10; p = v + 1; h = x + 1; z = 5; i = n + 5; x = z + 8; l = h + 17. If z = 5, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = u + 7 to s, which gives s = u + 9.\n2. Substitute u = l + 6 to s, which gives s = l + 15.\n3. Substitute l = h + 17 to s, which gives s = h + 32.\n4. Substitute h = x + 1 to s, which gives s = x + 33.\n5. Substitute x = z + 8 to s, which gives s = z + 41.\n6. Substitute z = 5 to s, which gives s = 46.\n\nThus, the final answer is s = \\boxed{46}.",
"index": 429,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = w + 13; n = t + 16; u = l + 6; s = c + 2; c = u + 7; w = z + 17; t = p + 10; p = v + 1; h = x + 1; z = 5; i = n + 5; x = z + 8; l = h + 17. If z = 5, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"h": "x + 12", "j": "h + 8", "k": "j + 18", "f": "k + 6", "e": "f + 8", "n": "e + 20", "a": "x + 6", "d": "a + 2", "b": "d + 5", "v": "b + 11", "i": "v + 20", "g": "i + 17", "x": 2}, "premises": {"x": 2}, "target": "n"}, "answer": {"steps": [["e", "f + 8", "f + 28"], ["f", "k + 6", "k + 34"], ["k", "j + 18", "j + 52"], ["j", "h + 8", "h + 60"], ["h", "x + 12", "x + 72"], ["x", 2, "74"]], "target_var_name": "n", "target_value": 74, "value_dict": {"x": 2}, "is_reverse": true}} | 430 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = j + 18; g = i + 17; n = e + 20; e = f + 8; d = a + 2; j = h + 8; b = d + 5; v = b + 11; a = x + 6; i = v + 20; x = 2; h = x + 12; f = k + 6. Given that x = 2, find the 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 e = f + 8 to n, which gives n = f + 28.\n2. Substitute f = k + 6 to n, which gives n = k + 34.\n3. Substitute k = j + 18 to n, which gives n = j + 52.\n4. Substitute j = h + 8 to n, which gives n = h + 60.\n5. Substitute h = x + 12 to n, which gives n = x + 72.\n6. Substitute x = 2 to n, which gives n = 74.\n\nThus, the final answer is n = \\boxed{74}.",
"index": 430,
"question": "Suppose a collection of variables is related by the following definitions: k = j + 18; g = i + 17; n = e + 20; e = f + 8; d = a + 2; j = h + 8; b = d + 5; v = b + 11; a = x + 6; i = v + 20; x = 2; h = x + 12; f = k + 6. Given that x = 2, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"p": "q + 18", "i": "p + 15", "k": "i + 20", "g": "k + 8", "o": "g + 20", "u": "o + 13", "l": "q + 9", "r": "l + 19", "s": "r + 9", "a": "s + 14", "m": "a + 12", "t": "m + 10", "q": 6}, "premises": {"q": 6}, "target": "u"}, "answer": {"steps": [["o", "g + 20", "g + 33"], ["g", "k + 8", "k + 41"], ["k", "i + 20", "i + 61"], ["i", "p + 15", "p + 76"], ["p", "q + 18", "q + 94"], ["q", 6, "100"]], "target_var_name": "u", "target_value": 100, "value_dict": {"q": 6}, "is_reverse": true}} | 431 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = k + 8; t = m + 10; m = a + 12; i = p + 15; s = r + 9; q = 6; k = i + 20; a = s + 14; u = o + 13; p = q + 18; r = l + 19; o = g + 20; l = q + 9. If q = 6, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = g + 20 to u, which gives u = g + 33.\n2. Substitute g = k + 8 to u, which gives u = k + 41.\n3. Substitute k = i + 20 to u, which gives u = i + 61.\n4. Substitute i = p + 15 to u, which gives u = p + 76.\n5. Substitute p = q + 18 to u, which gives u = q + 94.\n6. Substitute q = 6 to u, which gives u = 100.\n\nThus, the final answer is u = \\boxed{100}.",
"index": 431,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = k + 8; t = m + 10; m = a + 12; i = p + 15; s = r + 9; q = 6; k = i + 20; a = s + 14; u = o + 13; p = q + 18; r = l + 19; o = g + 20; l = q + 9. If q = 6, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"n": "q + 3", "c": "n + 2", "f": "c + 15", "y": "f + 14", "h": "y + 19", "t": "h + 19", "g": "q + 9", "b": "g + 11", "e": "b + 12", "a": "e + 5", "s": "a + 12", "w": "s + 20", "q": 14}, "premises": {"q": 14}, "target": "t"}, "answer": {"steps": [["h", "y + 19", "y + 38"], ["y", "f + 14", "f + 52"], ["f", "c + 15", "c + 67"], ["c", "n + 2", "n + 69"], ["n", "q + 3", "q + 72"], ["q", 14, "86"]], "target_var_name": "t", "target_value": 86, "value_dict": {"q": 14}, "is_reverse": true}} | 432 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = q + 3; t = h + 19; w = s + 20; s = a + 12; y = f + 14; f = c + 15; a = e + 5; q = 14; g = q + 9; e = b + 12; h = y + 19; b = g + 11; c = n + 2. If q = 14, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = y + 19 to t, which gives t = y + 38.\n2. Substitute y = f + 14 to t, which gives t = f + 52.\n3. Substitute f = c + 15 to t, which gives t = c + 67.\n4. Substitute c = n + 2 to t, which gives t = n + 69.\n5. Substitute n = q + 3 to t, which gives t = q + 72.\n6. Substitute q = 14 to t, which gives t = 86.\n\nThus, the final answer is t = \\boxed{86}.",
"index": 432,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = q + 3; t = h + 19; w = s + 20; s = a + 12; y = f + 14; f = c + 15; a = e + 5; q = 14; g = q + 9; e = b + 12; h = y + 19; b = g + 11; c = n + 2. If q = 14, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"j": "f + 20", "m": "j + 17", "k": "m + 9", "v": "k + 15", "s": "v + 15", "c": "s + 8", "w": "f + 11", "d": "w + 9", "a": "d + 5", "x": "a + 7", "g": "x + 18", "z": "g + 5", "f": 7}, "premises": {"f": 7}, "target": "c"}, "answer": {"steps": [["j", "f + 20", 27], ["m", "j + 17", 44], ["k", "m + 9", 53], ["v", "k + 15", 68], ["s", "v + 15", 83], ["c", "s + 8", 91]], "target_var_name": "c", "target_value": 91, "value_dict": {"f": 7, "j": 27, "m": 44, "k": 53, "v": 68, "s": 83, "c": 91}, "is_reverse": false}} | 433 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = g + 5; m = j + 17; x = a + 7; k = m + 9; a = d + 5; d = w + 9; s = v + 15; g = x + 18; c = s + 8; f = 7; v = k + 15; j = f + 20; w = f + 11. Given that f = 7, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = f + 20, which gives j = 27.\n2. Compute m using m = j + 17, which gives m = 44.\n3. Compute k using k = m + 9, which gives k = 53.\n4. Compute v using v = k + 15, which gives v = 68.\n5. Compute s using s = v + 15, which gives s = 83.\n6. Compute c using c = s + 8, which gives c = 91.\n\nThus, the final answer is c = \\boxed{91}.",
"index": 433,
"question": "Suppose a collection of variables is related by the following definitions: z = g + 5; m = j + 17; x = a + 7; k = m + 9; a = d + 5; d = w + 9; s = v + 15; g = x + 18; c = s + 8; f = 7; v = k + 15; j = f + 20; w = f + 11. Given that f = 7, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"y": "j + 2", "p": "y + 12", "a": "p + 13", "r": "a + 19", "h": "r + 5", "e": "h + 19", "c": "j + 3", "v": "c + 3", "b": "v + 14", "f": "b + 2", "n": "f + 15", "w": "n + 20", "j": 14}, "premises": {"j": 14}, "target": "e"}, "answer": {"steps": [["h", "r + 5", "r + 24"], ["r", "a + 19", "a + 43"], ["a", "p + 13", "p + 56"], ["p", "y + 12", "y + 68"], ["y", "j + 2", "j + 70"], ["j", 14, "84"]], "target_var_name": "e", "target_value": 84, "value_dict": {"j": 14}, "is_reverse": true}} | 434 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = j + 2; p = y + 12; a = p + 13; e = h + 19; f = b + 2; h = r + 5; v = c + 3; n = f + 15; b = v + 14; j = 14; c = j + 3; w = n + 20; r = a + 19. If j = 14, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = r + 5 to e, which gives e = r + 24.\n2. Substitute r = a + 19 to e, which gives e = a + 43.\n3. Substitute a = p + 13 to e, which gives e = p + 56.\n4. Substitute p = y + 12 to e, which gives e = y + 68.\n5. Substitute y = j + 2 to e, which gives e = j + 70.\n6. Substitute j = 14 to e, which gives e = 84.\n\nThus, the final answer is e = \\boxed{84}.",
"index": 434,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = j + 2; p = y + 12; a = p + 13; e = h + 19; f = b + 2; h = r + 5; v = c + 3; n = f + 15; b = v + 14; j = 14; c = j + 3; w = n + 20; r = a + 19. If j = 14, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"w": "r + 16", "l": "w + 2", "d": "l + 13", "g": "d + 10", "z": "g + 5", "b": "z + 20", "q": "r + 11", "s": "q + 2", "e": "s + 8", "u": "e + 4", "k": "u + 18", "c": "k + 5", "r": 15}, "premises": {"r": 15}, "target": "b"}, "answer": {"steps": [["z", "g + 5", "g + 25"], ["g", "d + 10", "d + 35"], ["d", "l + 13", "l + 48"], ["l", "w + 2", "w + 50"], ["w", "r + 16", "r + 66"], ["r", 15, "81"]], "target_var_name": "b", "target_value": 81, "value_dict": {"r": 15}, "is_reverse": true}} | 435 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = g + 5; d = l + 13; e = s + 8; b = z + 20; c = k + 5; r = 15; k = u + 18; g = d + 10; w = r + 16; s = q + 2; u = e + 4; q = r + 11; l = w + 2. Given that r = 15, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = g + 5 to b, which gives b = g + 25.\n2. Substitute g = d + 10 to b, which gives b = d + 35.\n3. Substitute d = l + 13 to b, which gives b = l + 48.\n4. Substitute l = w + 2 to b, which gives b = w + 50.\n5. Substitute w = r + 16 to b, which gives b = r + 66.\n6. Substitute r = 15 to b, which gives b = 81.\n\nThus, the final answer is b = \\boxed{81}.",
"index": 435,
"question": "Suppose a collection of variables is related by the following definitions: z = g + 5; d = l + 13; e = s + 8; b = z + 20; c = k + 5; r = 15; k = u + 18; g = d + 10; w = r + 16; s = q + 2; u = e + 4; q = r + 11; l = w + 2. Given that r = 15, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"r": "z + 17", "u": "r + 11", "a": "u + 6", "j": "a + 4", "f": "j + 13", "o": "f + 11", "p": "z + 18", "l": "p + 2", "i": "l + 10", "v": "i + 16", "d": "v + 8", "w": "d + 9", "z": 8}, "premises": {"z": 8}, "target": "o"}, "answer": {"steps": [["r", "z + 17", 25], ["u", "r + 11", 36], ["a", "u + 6", 42], ["j", "a + 4", 46], ["f", "j + 13", 59], ["o", "f + 11", 70]], "target_var_name": "o", "target_value": 70, "value_dict": {"z": 8, "r": 25, "u": 36, "a": 42, "j": 46, "f": 59, "o": 70}, "is_reverse": false}} | 436 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = p + 2; i = l + 10; w = d + 9; r = z + 17; o = f + 11; d = v + 8; z = 8; f = j + 13; j = a + 4; u = r + 11; a = u + 6; v = i + 16; p = z + 18. If z = 8, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = z + 17, which gives r = 25.\n2. Compute u using u = r + 11, which gives u = 36.\n3. Compute a using a = u + 6, which gives a = 42.\n4. Compute j using j = a + 4, which gives j = 46.\n5. Compute f using f = j + 13, which gives f = 59.\n6. Compute o using o = f + 11, which gives o = 70.\n\nThus, the final answer is o = \\boxed{70}.",
"index": 436,
"question": "Consider a system of variables where each variable is defined as follows: l = p + 2; i = l + 10; w = d + 9; r = z + 17; o = f + 11; d = v + 8; z = 8; f = j + 13; j = a + 4; u = r + 11; a = u + 6; v = i + 16; p = z + 18. If z = 8, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"i": "e + 19", "w": "i + 10", "o": "w + 19", "v": "o + 12", "d": "v + 12", "a": "d + 19", "r": "e + 7", "c": "r + 6", "s": "c + 10", "u": "s + 10", "b": "u + 11", "z": "b + 16", "e": 13}, "premises": {"e": 13}, "target": "a"}, "answer": {"steps": [["i", "e + 19", 32], ["w", "i + 10", 42], ["o", "w + 19", 61], ["v", "o + 12", 73], ["d", "v + 12", 85], ["a", "d + 19", 104]], "target_var_name": "a", "target_value": 104, "value_dict": {"e": 13, "i": 32, "w": 42, "o": 61, "v": 73, "d": 85, "a": 104}, "is_reverse": false}} | 437 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = s + 10; s = c + 10; b = u + 11; w = i + 10; z = b + 16; e = 13; r = e + 7; i = e + 19; a = d + 19; c = r + 6; v = o + 12; d = v + 12; o = w + 19. If e = 13, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 104,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = e + 19, which gives i = 32.\n2. Compute w using w = i + 10, which gives w = 42.\n3. Compute o using o = w + 19, which gives o = 61.\n4. Compute v using v = o + 12, which gives v = 73.\n5. Compute d using d = v + 12, which gives d = 85.\n6. Compute a using a = d + 19, which gives a = 104.\n\nThus, the final answer is a = \\boxed{104}.",
"index": 437,
"question": "Consider a system of variables where each variable is defined as follows: u = s + 10; s = c + 10; b = u + 11; w = i + 10; z = b + 16; e = 13; r = e + 7; i = e + 19; a = d + 19; c = r + 6; v = o + 12; d = v + 12; o = w + 19. If e = 13, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"u": "j + 20", "s": "u + 9", "r": "s + 15", "m": "r + 13", "k": "m + 8", "d": "k + 12", "o": "j + 12", "e": "o + 19", "a": "e + 6", "i": "a + 18", "q": "i + 19", "t": "q + 17", "j": 14}, "premises": {"j": 14}, "target": "d"}, "answer": {"steps": [["u", "j + 20", 34], ["s", "u + 9", 43], ["r", "s + 15", 58], ["m", "r + 13", 71], ["k", "m + 8", 79], ["d", "k + 12", 91]], "target_var_name": "d", "target_value": 91, "value_dict": {"j": 14, "u": 34, "s": 43, "r": 58, "m": 71, "k": 79, "d": 91}, "is_reverse": false}} | 438 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = a + 18; j = 14; m = r + 13; k = m + 8; q = i + 19; s = u + 9; r = s + 15; a = e + 6; u = j + 20; t = q + 17; e = o + 19; o = j + 12; d = k + 12. If j = 14, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = j + 20, which gives u = 34.\n2. Compute s using s = u + 9, which gives s = 43.\n3. Compute r using r = s + 15, which gives r = 58.\n4. Compute m using m = r + 13, which gives m = 71.\n5. Compute k using k = m + 8, which gives k = 79.\n6. Compute d using d = k + 12, which gives d = 91.\n\nThus, the final answer is d = \\boxed{91}.",
"index": 438,
"question": "Consider a system of variables where each variable is defined as follows: i = a + 18; j = 14; m = r + 13; k = m + 8; q = i + 19; s = u + 9; r = s + 15; a = e + 6; u = j + 20; t = q + 17; e = o + 19; o = j + 12; d = k + 12. If j = 14, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"q": "h + 1", "o": "q + 11", "r": "o + 16", "g": "r + 10", "i": "g + 13", "c": "i + 7", "b": "h + 18", "l": "b + 13", "y": "l + 12", "z": "y + 3", "n": "z + 2", "s": "n + 9", "h": 13}, "premises": {"h": 13}, "target": "c"}, "answer": {"steps": [["q", "h + 1", 14], ["o", "q + 11", 25], ["r", "o + 16", 41], ["g", "r + 10", 51], ["i", "g + 13", 64], ["c", "i + 7", 71]], "target_var_name": "c", "target_value": 71, "value_dict": {"h": 13, "q": 14, "o": 25, "r": 41, "g": 51, "i": 64, "c": 71}, "is_reverse": false}} | 439 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = h + 18; g = r + 10; c = i + 7; q = h + 1; s = n + 9; l = b + 13; i = g + 13; y = l + 12; z = y + 3; r = o + 16; h = 13; n = z + 2; o = q + 11. If h = 13, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = h + 1, which gives q = 14.\n2. Compute o using o = q + 11, which gives o = 25.\n3. Compute r using r = o + 16, which gives r = 41.\n4. Compute g using g = r + 10, which gives g = 51.\n5. Compute i using i = g + 13, which gives i = 64.\n6. Compute c using c = i + 7, which gives c = 71.\n\nThus, the final answer is c = \\boxed{71}.",
"index": 439,
"question": "Consider a system of variables where each variable is defined as follows: b = h + 18; g = r + 10; c = i + 7; q = h + 1; s = n + 9; l = b + 13; i = g + 13; y = l + 12; z = y + 3; r = o + 16; h = 13; n = z + 2; o = q + 11. If h = 13, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"m": "l + 4", "d": "m + 9", "j": "d + 16", "q": "j + 5", "f": "q + 6", "e": "f + 9", "z": "l + 2", "a": "z + 13", "g": "a + 1", "k": "g + 10", "n": "k + 8", "v": "n + 16", "l": 20}, "premises": {"l": 20}, "target": "e"}, "answer": {"steps": [["f", "q + 6", "q + 15"], ["q", "j + 5", "j + 20"], ["j", "d + 16", "d + 36"], ["d", "m + 9", "m + 45"], ["m", "l + 4", "l + 49"], ["l", 20, "69"]], "target_var_name": "e", "target_value": 69, "value_dict": {"l": 20}, "is_reverse": true}} | 440 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = j + 5; v = n + 16; a = z + 13; n = k + 8; j = d + 16; z = l + 2; k = g + 10; m = l + 4; d = m + 9; f = q + 6; g = a + 1; l = 20; e = f + 9. Given that l = 20, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = q + 6 to e, which gives e = q + 15.\n2. Substitute q = j + 5 to e, which gives e = j + 20.\n3. Substitute j = d + 16 to e, which gives e = d + 36.\n4. Substitute d = m + 9 to e, which gives e = m + 45.\n5. Substitute m = l + 4 to e, which gives e = l + 49.\n6. Substitute l = 20 to e, which gives e = 69.\n\nThus, the final answer is e = \\boxed{69}.",
"index": 440,
"question": "Suppose a collection of variables is related by the following definitions: q = j + 5; v = n + 16; a = z + 13; n = k + 8; j = d + 16; z = l + 2; k = g + 10; m = l + 4; d = m + 9; f = q + 6; g = a + 1; l = 20; e = f + 9. Given that l = 20, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"k": "t + 6", "y": "k + 10", "s": "y + 15", "h": "s + 7", "p": "h + 14", "d": "p + 4", "e": "t + 15", "b": "e + 18", "f": "b + 18", "u": "f + 15", "c": "u + 11", "o": "c + 9", "t": 4}, "premises": {"t": 4}, "target": "d"}, "answer": {"steps": [["p", "h + 14", "h + 18"], ["h", "s + 7", "s + 25"], ["s", "y + 15", "y + 40"], ["y", "k + 10", "k + 50"], ["k", "t + 6", "t + 56"], ["t", 4, "60"]], "target_var_name": "d", "target_value": 60, "value_dict": {"t": 4}, "is_reverse": true}} | 441 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = e + 18; u = f + 15; f = b + 18; k = t + 6; h = s + 7; p = h + 14; t = 4; o = c + 9; y = k + 10; e = t + 15; s = y + 15; c = u + 11; d = p + 4. Given that t = 4, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = h + 14 to d, which gives d = h + 18.\n2. Substitute h = s + 7 to d, which gives d = s + 25.\n3. Substitute s = y + 15 to d, which gives d = y + 40.\n4. Substitute y = k + 10 to d, which gives d = k + 50.\n5. Substitute k = t + 6 to d, which gives d = t + 56.\n6. Substitute t = 4 to d, which gives d = 60.\n\nThus, the final answer is d = \\boxed{60}.",
"index": 441,
"question": "Suppose a collection of variables is related by the following definitions: b = e + 18; u = f + 15; f = b + 18; k = t + 6; h = s + 7; p = h + 14; t = 4; o = c + 9; y = k + 10; e = t + 15; s = y + 15; c = u + 11; d = p + 4. Given that t = 4, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"h": "n + 17", "m": "h + 12", "u": "m + 8", "d": "u + 1", "b": "d + 18", "a": "b + 2", "x": "n + 8", "y": "x + 13", "r": "y + 8", "l": "r + 5", "q": "l + 3", "o": "q + 17", "n": 6}, "premises": {"n": 6}, "target": "a"}, "answer": {"steps": [["h", "n + 17", 23], ["m", "h + 12", 35], ["u", "m + 8", 43], ["d", "u + 1", 44], ["b", "d + 18", 62], ["a", "b + 2", 64]], "target_var_name": "a", "target_value": 64, "value_dict": {"n": 6, "h": 23, "m": 35, "u": 43, "d": 44, "b": 62, "a": 64}, "is_reverse": false}} | 442 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = n + 8; l = r + 5; n = 6; a = b + 2; u = m + 8; b = d + 18; q = l + 3; d = u + 1; h = n + 17; r = y + 8; m = h + 12; o = q + 17; y = x + 13. Given that n = 6, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = n + 17, which gives h = 23.\n2. Compute m using m = h + 12, which gives m = 35.\n3. Compute u using u = m + 8, which gives u = 43.\n4. Compute d using d = u + 1, which gives d = 44.\n5. Compute b using b = d + 18, which gives b = 62.\n6. Compute a using a = b + 2, which gives a = 64.\n\nThus, the final answer is a = \\boxed{64}.",
"index": 442,
"question": "Suppose a collection of variables is related by the following definitions: x = n + 8; l = r + 5; n = 6; a = b + 2; u = m + 8; b = d + 18; q = l + 3; d = u + 1; h = n + 17; r = y + 8; m = h + 12; o = q + 17; y = x + 13. Given that n = 6, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"g": "a + 11", "c": "g + 10", "i": "c + 18", "h": "i + 10", "u": "h + 9", "y": "u + 7", "t": "a + 2", "s": "t + 4", "m": "s + 7", "f": "m + 3", "l": "f + 18", "r": "l + 19", "a": 10}, "premises": {"a": 10}, "target": "y"}, "answer": {"steps": [["g", "a + 11", 21], ["c", "g + 10", 31], ["i", "c + 18", 49], ["h", "i + 10", 59], ["u", "h + 9", 68], ["y", "u + 7", 75]], "target_var_name": "y", "target_value": 75, "value_dict": {"a": 10, "g": 21, "c": 31, "i": 49, "h": 59, "u": 68, "y": 75}, "is_reverse": false}} | 443 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = a + 2; u = h + 9; l = f + 18; y = u + 7; g = a + 11; m = s + 7; h = i + 10; a = 10; s = t + 4; c = g + 10; i = c + 18; r = l + 19; f = m + 3. Given that a = 10, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = a + 11, which gives g = 21.\n2. Compute c using c = g + 10, which gives c = 31.\n3. Compute i using i = c + 18, which gives i = 49.\n4. Compute h using h = i + 10, which gives h = 59.\n5. Compute u using u = h + 9, which gives u = 68.\n6. Compute y using y = u + 7, which gives y = 75.\n\nThus, the final answer is y = \\boxed{75}.",
"index": 443,
"question": "Suppose a collection of variables is related by the following definitions: t = a + 2; u = h + 9; l = f + 18; y = u + 7; g = a + 11; m = s + 7; h = i + 10; a = 10; s = t + 4; c = g + 10; i = c + 18; r = l + 19; f = m + 3. Given that a = 10, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"d": "n + 13", "h": "d + 13", "c": "h + 10", "q": "c + 3", "f": "q + 14", "s": "f + 13", "o": "n + 3", "k": "o + 4", "u": "k + 18", "i": "u + 13", "x": "i + 11", "t": "x + 17", "n": 1}, "premises": {"n": 1}, "target": "s"}, "answer": {"steps": [["d", "n + 13", 14], ["h", "d + 13", 27], ["c", "h + 10", 37], ["q", "c + 3", 40], ["f", "q + 14", 54], ["s", "f + 13", 67]], "target_var_name": "s", "target_value": 67, "value_dict": {"n": 1, "d": 14, "h": 27, "c": 37, "q": 40, "f": 54, "s": 67}, "is_reverse": false}} | 444 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = x + 17; i = u + 13; d = n + 13; f = q + 14; c = h + 10; n = 1; u = k + 18; h = d + 13; o = n + 3; q = c + 3; x = i + 11; s = f + 13; k = o + 4. Given that n = 1, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = n + 13, which gives d = 14.\n2. Compute h using h = d + 13, which gives h = 27.\n3. Compute c using c = h + 10, which gives c = 37.\n4. Compute q using q = c + 3, which gives q = 40.\n5. Compute f using f = q + 14, which gives f = 54.\n6. Compute s using s = f + 13, which gives s = 67.\n\nThus, the final answer is s = \\boxed{67}.",
"index": 444,
"question": "Suppose a collection of variables is related by the following definitions: t = x + 17; i = u + 13; d = n + 13; f = q + 14; c = h + 10; n = 1; u = k + 18; h = d + 13; o = n + 3; q = c + 3; x = i + 11; s = f + 13; k = o + 4. Given that n = 1, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"k": "v + 15", "a": "k + 12", "h": "a + 16", "f": "h + 2", "z": "f + 2", "j": "z + 3", "b": "v + 2", "m": "b + 7", "i": "m + 2", "n": "i + 2", "g": "n + 9", "s": "g + 6", "v": 13}, "premises": {"v": 13}, "target": "j"}, "answer": {"steps": [["z", "f + 2", "f + 5"], ["f", "h + 2", "h + 7"], ["h", "a + 16", "a + 23"], ["a", "k + 12", "k + 35"], ["k", "v + 15", "v + 50"], ["v", 13, "63"]], "target_var_name": "j", "target_value": 63, "value_dict": {"v": 13}, "is_reverse": true}} | 445 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = n + 9; k = v + 15; h = a + 16; a = k + 12; b = v + 2; n = i + 2; j = z + 3; z = f + 2; m = b + 7; v = 13; s = g + 6; f = h + 2; i = m + 2. If v = 13, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = f + 2 to j, which gives j = f + 5.\n2. Substitute f = h + 2 to j, which gives j = h + 7.\n3. Substitute h = a + 16 to j, which gives j = a + 23.\n4. Substitute a = k + 12 to j, which gives j = k + 35.\n5. Substitute k = v + 15 to j, which gives j = v + 50.\n6. Substitute v = 13 to j, which gives j = 63.\n\nThus, the final answer is j = \\boxed{63}.",
"index": 445,
"question": "Consider a system of variables where each variable is defined as follows: g = n + 9; k = v + 15; h = a + 16; a = k + 12; b = v + 2; n = i + 2; j = z + 3; z = f + 2; m = b + 7; v = 13; s = g + 6; f = h + 2; i = m + 2. If v = 13, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"n": "f + 6", "l": "n + 2", "u": "l + 12", "o": "u + 20", "a": "o + 11", "z": "a + 19", "q": "f + 2", "r": "q + 3", "y": "r + 2", "t": "y + 4", "k": "t + 3", "g": "k + 2", "f": 7}, "premises": {"f": 7}, "target": "z"}, "answer": {"steps": [["n", "f + 6", 13], ["l", "n + 2", 15], ["u", "l + 12", 27], ["o", "u + 20", 47], ["a", "o + 11", 58], ["z", "a + 19", 77]], "target_var_name": "z", "target_value": 77, "value_dict": {"f": 7, "n": 13, "l": 15, "u": 27, "o": 47, "a": 58, "z": 77}, "is_reverse": false}} | 446 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = q + 3; f = 7; g = k + 2; z = a + 19; l = n + 2; u = l + 12; y = r + 2; a = o + 11; q = f + 2; n = f + 6; t = y + 4; k = t + 3; o = u + 20. If f = 7, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = f + 6, which gives n = 13.\n2. Compute l using l = n + 2, which gives l = 15.\n3. Compute u using u = l + 12, which gives u = 27.\n4. Compute o using o = u + 20, which gives o = 47.\n5. Compute a using a = o + 11, which gives a = 58.\n6. Compute z using z = a + 19, which gives z = 77.\n\nThus, the final answer is z = \\boxed{77}.",
"index": 446,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = q + 3; f = 7; g = k + 2; z = a + 19; l = n + 2; u = l + 12; y = r + 2; a = o + 11; q = f + 2; n = f + 6; t = y + 4; k = t + 3; o = u + 20. If f = 7, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"z": "w + 4", "u": "z + 14", "c": "u + 10", "g": "c + 15", "d": "g + 9", "x": "d + 19", "l": "w + 10", "t": "l + 11", "j": "t + 1", "o": "j + 4", "p": "o + 10", "y": "p + 2", "w": 9}, "premises": {"w": 9}, "target": "x"}, "answer": {"steps": [["d", "g + 9", "g + 28"], ["g", "c + 15", "c + 43"], ["c", "u + 10", "u + 53"], ["u", "z + 14", "z + 67"], ["z", "w + 4", "w + 71"], ["w", 9, "80"]], "target_var_name": "x", "target_value": 80, "value_dict": {"w": 9}, "is_reverse": true}} | 447 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = z + 14; o = j + 4; p = o + 10; t = l + 11; w = 9; x = d + 19; y = p + 2; z = w + 4; d = g + 9; j = t + 1; g = c + 15; l = w + 10; c = u + 10. Given that w = 9, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = g + 9 to x, which gives x = g + 28.\n2. Substitute g = c + 15 to x, which gives x = c + 43.\n3. Substitute c = u + 10 to x, which gives x = u + 53.\n4. Substitute u = z + 14 to x, which gives x = z + 67.\n5. Substitute z = w + 4 to x, which gives x = w + 71.\n6. Substitute w = 9 to x, which gives x = 80.\n\nThus, the final answer is x = \\boxed{80}.",
"index": 447,
"question": "Suppose a collection of variables is related by the following definitions: u = z + 14; o = j + 4; p = o + 10; t = l + 11; w = 9; x = d + 19; y = p + 2; z = w + 4; d = g + 9; j = t + 1; g = c + 15; l = w + 10; c = u + 10. Given that w = 9, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"w": "b + 3", "d": "w + 20", "l": "d + 20", "y": "l + 15", "s": "y + 10", "p": "s + 4", "a": "b + 13", "t": "a + 3", "u": "t + 4", "n": "u + 9", "e": "n + 8", "h": "e + 2", "b": 12}, "premises": {"b": 12}, "target": "p"}, "answer": {"steps": [["w", "b + 3", 15], ["d", "w + 20", 35], ["l", "d + 20", 55], ["y", "l + 15", 70], ["s", "y + 10", 80], ["p", "s + 4", 84]], "target_var_name": "p", "target_value": 84, "value_dict": {"b": 12, "w": 15, "d": 35, "l": 55, "y": 70, "s": 80, "p": 84}, "is_reverse": false}} | 448 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = e + 2; s = y + 10; u = t + 4; a = b + 13; l = d + 20; y = l + 15; t = a + 3; b = 12; e = n + 8; d = w + 20; n = u + 9; w = b + 3; p = s + 4. If b = 12, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = b + 3, which gives w = 15.\n2. Compute d using d = w + 20, which gives d = 35.\n3. Compute l using l = d + 20, which gives l = 55.\n4. Compute y using y = l + 15, which gives y = 70.\n5. Compute s using s = y + 10, which gives s = 80.\n6. Compute p using p = s + 4, which gives p = 84.\n\nThus, the final answer is p = \\boxed{84}.",
"index": 448,
"question": "Consider a system of variables where each variable is defined as follows: h = e + 2; s = y + 10; u = t + 4; a = b + 13; l = d + 20; y = l + 15; t = a + 3; b = 12; e = n + 8; d = w + 20; n = u + 9; w = b + 3; p = s + 4. If b = 12, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"i": "p + 20", "c": "i + 13", "j": "c + 4", "r": "j + 8", "s": "r + 12", "x": "s + 15", "e": "p + 11", "b": "e + 2", "z": "b + 13", "h": "z + 3", "q": "h + 18", "m": "q + 16", "p": 18}, "premises": {"p": 18}, "target": "x"}, "answer": {"steps": [["s", "r + 12", "r + 27"], ["r", "j + 8", "j + 35"], ["j", "c + 4", "c + 39"], ["c", "i + 13", "i + 52"], ["i", "p + 20", "p + 72"], ["p", 18, "90"]], "target_var_name": "x", "target_value": 90, "value_dict": {"p": 18}, "is_reverse": true}} | 449 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = r + 12; m = q + 16; i = p + 20; p = 18; z = b + 13; x = s + 15; j = c + 4; q = h + 18; c = i + 13; h = z + 3; b = e + 2; e = p + 11; r = j + 8. If p = 18, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = r + 12 to x, which gives x = r + 27.\n2. Substitute r = j + 8 to x, which gives x = j + 35.\n3. Substitute j = c + 4 to x, which gives x = c + 39.\n4. Substitute c = i + 13 to x, which gives x = i + 52.\n5. Substitute i = p + 20 to x, which gives x = p + 72.\n6. Substitute p = 18 to x, which gives x = 90.\n\nThus, the final answer is x = \\boxed{90}.",
"index": 449,
"question": "Consider a system of variables where each variable is defined as follows: s = r + 12; m = q + 16; i = p + 20; p = 18; z = b + 13; x = s + 15; j = c + 4; q = h + 18; c = i + 13; h = z + 3; b = e + 2; e = p + 11; r = j + 8. If p = 18, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"k": "s + 4", "t": "k + 17", "g": "t + 5", "p": "g + 7", "q": "p + 4", "b": "q + 20", "u": "s + 9", "o": "u + 17", "v": "o + 8", "z": "v + 17", "j": "z + 6", "n": "j + 4", "s": 4}, "premises": {"s": 4}, "target": "b"}, "answer": {"steps": [["q", "p + 4", "p + 24"], ["p", "g + 7", "g + 31"], ["g", "t + 5", "t + 36"], ["t", "k + 17", "k + 53"], ["k", "s + 4", "s + 57"], ["s", 4, "61"]], "target_var_name": "b", "target_value": 61, "value_dict": {"s": 4}, "is_reverse": true}} | 450 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = o + 8; s = 4; b = q + 20; u = s + 9; p = g + 7; g = t + 5; q = p + 4; k = s + 4; o = u + 17; z = v + 17; t = k + 17; n = j + 4; j = z + 6. Given that s = 4, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = p + 4 to b, which gives b = p + 24.\n2. Substitute p = g + 7 to b, which gives b = g + 31.\n3. Substitute g = t + 5 to b, which gives b = t + 36.\n4. Substitute t = k + 17 to b, which gives b = k + 53.\n5. Substitute k = s + 4 to b, which gives b = s + 57.\n6. Substitute s = 4 to b, which gives b = 61.\n\nThus, the final answer is b = \\boxed{61}.",
"index": 450,
"question": "Suppose a collection of variables is related by the following definitions: v = o + 8; s = 4; b = q + 20; u = s + 9; p = g + 7; g = t + 5; q = p + 4; k = s + 4; o = u + 17; z = v + 17; t = k + 17; n = j + 4; j = z + 6. Given that s = 4, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"l": "u + 6", "f": "l + 11", "g": "f + 20", "h": "g + 9", "z": "h + 2", "p": "z + 7", "a": "u + 6", "o": "a + 2", "n": "o + 20", "v": "n + 17", "w": "v + 2", "m": "w + 3", "u": 9}, "premises": {"u": 9}, "target": "p"}, "answer": {"steps": [["l", "u + 6", 15], ["f", "l + 11", 26], ["g", "f + 20", 46], ["h", "g + 9", 55], ["z", "h + 2", 57], ["p", "z + 7", 64]], "target_var_name": "p", "target_value": 64, "value_dict": {"u": 9, "l": 15, "f": 26, "g": 46, "h": 55, "z": 57, "p": 64}, "is_reverse": false}} | 451 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = f + 20; h = g + 9; o = a + 2; f = l + 11; l = u + 6; z = h + 2; w = v + 2; m = w + 3; a = u + 6; n = o + 20; v = n + 17; u = 9; p = z + 7. If u = 9, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = u + 6, which gives l = 15.\n2. Compute f using f = l + 11, which gives f = 26.\n3. Compute g using g = f + 20, which gives g = 46.\n4. Compute h using h = g + 9, which gives h = 55.\n5. Compute z using z = h + 2, which gives z = 57.\n6. Compute p using p = z + 7, which gives p = 64.\n\nThus, the final answer is p = \\boxed{64}.",
"index": 451,
"question": "Consider a system of variables where each variable is defined as follows: g = f + 20; h = g + 9; o = a + 2; f = l + 11; l = u + 6; z = h + 2; w = v + 2; m = w + 3; a = u + 6; n = o + 20; v = n + 17; u = 9; p = z + 7. If u = 9, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"x": "v + 2", "j": "x + 5", "z": "j + 17", "a": "z + 18", "q": "a + 4", "r": "q + 15", "o": "v + 19", "s": "o + 14", "c": "s + 18", "k": "c + 3", "l": "k + 5", "y": "l + 4", "v": 14}, "premises": {"v": 14}, "target": "r"}, "answer": {"steps": [["q", "a + 4", "a + 19"], ["a", "z + 18", "z + 37"], ["z", "j + 17", "j + 54"], ["j", "x + 5", "x + 59"], ["x", "v + 2", "v + 61"], ["v", 14, "75"]], "target_var_name": "r", "target_value": 75, "value_dict": {"v": 14}, "is_reverse": true}} | 452 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = q + 15; z = j + 17; x = v + 2; k = c + 3; o = v + 19; l = k + 5; v = 14; a = z + 18; j = x + 5; q = a + 4; c = s + 18; y = l + 4; s = o + 14. Given that v = 14, find the 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 q = a + 4 to r, which gives r = a + 19.\n2. Substitute a = z + 18 to r, which gives r = z + 37.\n3. Substitute z = j + 17 to r, which gives r = j + 54.\n4. Substitute j = x + 5 to r, which gives r = x + 59.\n5. Substitute x = v + 2 to r, which gives r = v + 61.\n6. Substitute v = 14 to r, which gives r = 75.\n\nThus, the final answer is r = \\boxed{75}.",
"index": 452,
"question": "Suppose a collection of variables is related by the following definitions: r = q + 15; z = j + 17; x = v + 2; k = c + 3; o = v + 19; l = k + 5; v = 14; a = z + 18; j = x + 5; q = a + 4; c = s + 18; y = l + 4; s = o + 14. Given that v = 14, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"y": "g + 18", "t": "y + 5", "f": "t + 10", "p": "f + 9", "u": "p + 12", "r": "u + 6", "i": "g + 12", "d": "i + 15", "c": "d + 2", "l": "c + 6", "m": "l + 4", "v": "m + 4", "g": 9}, "premises": {"g": 9}, "target": "r"}, "answer": {"steps": [["u", "p + 12", "p + 18"], ["p", "f + 9", "f + 27"], ["f", "t + 10", "t + 37"], ["t", "y + 5", "y + 42"], ["y", "g + 18", "g + 60"], ["g", 9, "69"]], "target_var_name": "r", "target_value": 69, "value_dict": {"g": 9}, "is_reverse": true}} | 453 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = g + 18; l = c + 6; u = p + 12; g = 9; p = f + 9; v = m + 4; r = u + 6; m = l + 4; c = d + 2; t = y + 5; f = t + 10; i = g + 12; d = i + 15. If g = 9, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = p + 12 to r, which gives r = p + 18.\n2. Substitute p = f + 9 to r, which gives r = f + 27.\n3. Substitute f = t + 10 to r, which gives r = t + 37.\n4. Substitute t = y + 5 to r, which gives r = y + 42.\n5. Substitute y = g + 18 to r, which gives r = g + 60.\n6. Substitute g = 9 to r, which gives r = 69.\n\nThus, the final answer is r = \\boxed{69}.",
"index": 453,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = g + 18; l = c + 6; u = p + 12; g = 9; p = f + 9; v = m + 4; r = u + 6; m = l + 4; c = d + 2; t = y + 5; f = t + 10; i = g + 12; d = i + 15. If g = 9, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"c": "m + 14", "r": "c + 12", "j": "r + 11", "d": "j + 13", "p": "d + 9", "y": "p + 4", "i": "m + 7", "w": "i + 9", "n": "w + 18", "g": "n + 1", "f": "g + 7", "u": "f + 20", "m": 18}, "premises": {"m": 18}, "target": "y"}, "answer": {"steps": [["p", "d + 9", "d + 13"], ["d", "j + 13", "j + 26"], ["j", "r + 11", "r + 37"], ["r", "c + 12", "c + 49"], ["c", "m + 14", "m + 63"], ["m", 18, "81"]], "target_var_name": "y", "target_value": 81, "value_dict": {"m": 18}, "is_reverse": true}} | 454 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = n + 1; i = m + 7; u = f + 20; d = j + 13; m = 18; r = c + 12; c = m + 14; w = i + 9; f = g + 7; j = r + 11; n = w + 18; y = p + 4; p = d + 9. If m = 18, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = d + 9 to y, which gives y = d + 13.\n2. Substitute d = j + 13 to y, which gives y = j + 26.\n3. Substitute j = r + 11 to y, which gives y = r + 37.\n4. Substitute r = c + 12 to y, which gives y = c + 49.\n5. Substitute c = m + 14 to y, which gives y = m + 63.\n6. Substitute m = 18 to y, which gives y = 81.\n\nThus, the final answer is y = \\boxed{81}.",
"index": 454,
"question": "Consider a system of variables where each variable is defined as follows: g = n + 1; i = m + 7; u = f + 20; d = j + 13; m = 18; r = c + 12; c = m + 14; w = i + 9; f = g + 7; j = r + 11; n = w + 18; y = p + 4; p = d + 9. If m = 18, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"u": "l + 12", "v": "u + 12", "c": "v + 4", "r": "c + 12", "h": "r + 14", "j": "h + 2", "i": "l + 13", "d": "i + 2", "z": "d + 8", "p": "z + 3", "n": "p + 2", "f": "n + 7", "l": 11}, "premises": {"l": 11}, "target": "j"}, "answer": {"steps": [["h", "r + 14", "r + 16"], ["r", "c + 12", "c + 28"], ["c", "v + 4", "v + 32"], ["v", "u + 12", "u + 44"], ["u", "l + 12", "l + 56"], ["l", 11, "67"]], "target_var_name": "j", "target_value": 67, "value_dict": {"l": 11}, "is_reverse": true}} | 455 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = c + 12; i = l + 13; v = u + 12; f = n + 7; d = i + 2; j = h + 2; p = z + 3; h = r + 14; n = p + 2; l = 11; z = d + 8; u = l + 12; c = v + 4. If l = 11, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = r + 14 to j, which gives j = r + 16.\n2. Substitute r = c + 12 to j, which gives j = c + 28.\n3. Substitute c = v + 4 to j, which gives j = v + 32.\n4. Substitute v = u + 12 to j, which gives j = u + 44.\n5. Substitute u = l + 12 to j, which gives j = l + 56.\n6. Substitute l = 11 to j, which gives j = 67.\n\nThus, the final answer is j = \\boxed{67}.",
"index": 455,
"question": "Consider a system of variables where each variable is defined as follows: r = c + 12; i = l + 13; v = u + 12; f = n + 7; d = i + 2; j = h + 2; p = z + 3; h = r + 14; n = p + 2; l = 11; z = d + 8; u = l + 12; c = v + 4. If l = 11, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"r": "z + 19", "l": "r + 20", "u": "l + 7", "c": "u + 9", "t": "c + 2", "v": "t + 19", "e": "z + 19", "y": "e + 7", "h": "y + 3", "n": "h + 16", "g": "n + 17", "m": "g + 3", "z": 4}, "premises": {"z": 4}, "target": "v"}, "answer": {"steps": [["r", "z + 19", 23], ["l", "r + 20", 43], ["u", "l + 7", 50], ["c", "u + 9", 59], ["t", "c + 2", 61], ["v", "t + 19", 80]], "target_var_name": "v", "target_value": 80, "value_dict": {"z": 4, "r": 23, "l": 43, "u": 50, "c": 59, "t": 61, "v": 80}, "is_reverse": false}} | 456 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = g + 3; t = c + 2; u = l + 7; y = e + 7; z = 4; n = h + 16; v = t + 19; e = z + 19; l = r + 20; r = z + 19; c = u + 9; h = y + 3; g = n + 17. Given that z = 4, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = z + 19, which gives r = 23.\n2. Compute l using l = r + 20, which gives l = 43.\n3. Compute u using u = l + 7, which gives u = 50.\n4. Compute c using c = u + 9, which gives c = 59.\n5. Compute t using t = c + 2, which gives t = 61.\n6. Compute v using v = t + 19, which gives v = 80.\n\nThus, the final answer is v = \\boxed{80}.",
"index": 456,
"question": "Suppose a collection of variables is related by the following definitions: m = g + 3; t = c + 2; u = l + 7; y = e + 7; z = 4; n = h + 16; v = t + 19; e = z + 19; l = r + 20; r = z + 19; c = u + 9; h = y + 3; g = n + 17. Given that z = 4, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"x": "m + 16", "v": "x + 16", "e": "v + 7", "k": "e + 1", "l": "k + 4", "i": "l + 11", "p": "m + 2", "q": "p + 19", "f": "q + 9", "j": "f + 9", "b": "j + 4", "s": "b + 3", "m": 1}, "premises": {"m": 1}, "target": "i"}, "answer": {"steps": [["l", "k + 4", "k + 15"], ["k", "e + 1", "e + 16"], ["e", "v + 7", "v + 23"], ["v", "x + 16", "x + 39"], ["x", "m + 16", "m + 55"], ["m", 1, "56"]], "target_var_name": "i", "target_value": 56, "value_dict": {"m": 1}, "is_reverse": true}} | 457 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = q + 9; l = k + 4; j = f + 9; p = m + 2; k = e + 1; v = x + 16; m = 1; e = v + 7; s = b + 3; b = j + 4; x = m + 16; q = p + 19; i = l + 11. If m = 1, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = k + 4 to i, which gives i = k + 15.\n2. Substitute k = e + 1 to i, which gives i = e + 16.\n3. Substitute e = v + 7 to i, which gives i = v + 23.\n4. Substitute v = x + 16 to i, which gives i = x + 39.\n5. Substitute x = m + 16 to i, which gives i = m + 55.\n6. Substitute m = 1 to i, which gives i = 56.\n\nThus, the final answer is i = \\boxed{56}.",
"index": 457,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = q + 9; l = k + 4; j = f + 9; p = m + 2; k = e + 1; v = x + 16; m = 1; e = v + 7; s = b + 3; b = j + 4; x = m + 16; q = p + 19; i = l + 11. If m = 1, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"s": "n + 3", "d": "s + 5", "u": "d + 10", "c": "u + 14", "x": "c + 7", "b": "x + 12", "q": "n + 1", "h": "q + 6", "k": "h + 18", "r": "k + 2", "a": "r + 7", "m": "a + 6", "n": 1}, "premises": {"n": 1}, "target": "b"}, "answer": {"steps": [["s", "n + 3", 4], ["d", "s + 5", 9], ["u", "d + 10", 19], ["c", "u + 14", 33], ["x", "c + 7", 40], ["b", "x + 12", 52]], "target_var_name": "b", "target_value": 52, "value_dict": {"n": 1, "s": 4, "d": 9, "u": 19, "c": 33, "x": 40, "b": 52}, "is_reverse": false}} | 458 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = u + 14; u = d + 10; b = x + 12; h = q + 6; m = a + 6; q = n + 1; d = s + 5; a = r + 7; s = n + 3; k = h + 18; r = k + 2; x = c + 7; n = 1. Given that n = 1, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = n + 3, which gives s = 4.\n2. Compute d using d = s + 5, which gives d = 9.\n3. Compute u using u = d + 10, which gives u = 19.\n4. Compute c using c = u + 14, which gives c = 33.\n5. Compute x using x = c + 7, which gives x = 40.\n6. Compute b using b = x + 12, which gives b = 52.\n\nThus, the final answer is b = \\boxed{52}.",
"index": 458,
"question": "Suppose a collection of variables is related by the following definitions: c = u + 14; u = d + 10; b = x + 12; h = q + 6; m = a + 6; q = n + 1; d = s + 5; a = r + 7; s = n + 3; k = h + 18; r = k + 2; x = c + 7; n = 1. Given that n = 1, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"k": "m + 17", "f": "k + 2", "x": "f + 8", "y": "x + 15", "q": "y + 8", "l": "q + 2", "c": "m + 4", "z": "c + 3", "h": "z + 3", "j": "h + 3", "v": "j + 18", "s": "v + 2", "m": 2}, "premises": {"m": 2}, "target": "l"}, "answer": {"steps": [["k", "m + 17", 19], ["f", "k + 2", 21], ["x", "f + 8", 29], ["y", "x + 15", 44], ["q", "y + 8", 52], ["l", "q + 2", 54]], "target_var_name": "l", "target_value": 54, "value_dict": {"m": 2, "k": 19, "f": 21, "x": 29, "y": 44, "q": 52, "l": 54}, "is_reverse": false}} | 459 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = x + 15; z = c + 3; x = f + 8; j = h + 3; m = 2; s = v + 2; l = q + 2; q = y + 8; v = j + 18; c = m + 4; h = z + 3; f = k + 2; k = m + 17. Given that m = 2, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = m + 17, which gives k = 19.\n2. Compute f using f = k + 2, which gives f = 21.\n3. Compute x using x = f + 8, which gives x = 29.\n4. Compute y using y = x + 15, which gives y = 44.\n5. Compute q using q = y + 8, which gives q = 52.\n6. Compute l using l = q + 2, which gives l = 54.\n\nThus, the final answer is l = \\boxed{54}.",
"index": 459,
"question": "Suppose a collection of variables is related by the following definitions: y = x + 15; z = c + 3; x = f + 8; j = h + 3; m = 2; s = v + 2; l = q + 2; q = y + 8; v = j + 18; c = m + 4; h = z + 3; f = k + 2; k = m + 17. Given that m = 2, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"f": "z + 18", "e": "f + 19", "t": "e + 17", "j": "t + 6", "i": "j + 3", "y": "i + 5", "q": "z + 17", "a": "q + 9", "g": "a + 3", "r": "g + 1", "c": "r + 20", "b": "c + 17", "z": 17}, "premises": {"z": 17}, "target": "y"}, "answer": {"steps": [["f", "z + 18", 35], ["e", "f + 19", 54], ["t", "e + 17", 71], ["j", "t + 6", 77], ["i", "j + 3", 80], ["y", "i + 5", 85]], "target_var_name": "y", "target_value": 85, "value_dict": {"z": 17, "f": 35, "e": 54, "t": 71, "j": 77, "i": 80, "y": 85}, "is_reverse": false}} | 460 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = z + 17; t = e + 17; e = f + 19; i = j + 3; f = z + 18; c = r + 20; g = a + 3; b = c + 17; a = q + 9; j = t + 6; z = 17; y = i + 5; r = g + 1. If z = 17, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = z + 18, which gives f = 35.\n2. Compute e using e = f + 19, which gives e = 54.\n3. Compute t using t = e + 17, which gives t = 71.\n4. Compute j using j = t + 6, which gives j = 77.\n5. Compute i using i = j + 3, which gives i = 80.\n6. Compute y using y = i + 5, which gives y = 85.\n\nThus, the final answer is y = \\boxed{85}.",
"index": 460,
"question": "Consider a system of variables where each variable is defined as follows: q = z + 17; t = e + 17; e = f + 19; i = j + 3; f = z + 18; c = r + 20; g = a + 3; b = c + 17; a = q + 9; j = t + 6; z = 17; y = i + 5; r = g + 1. If z = 17, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"h": "c + 18", "l": "h + 1", "a": "l + 15", "p": "a + 11", "v": "p + 1", "n": "v + 11", "m": "c + 15", "z": "m + 15", "e": "z + 3", "t": "e + 11", "o": "t + 18", "i": "o + 4", "c": 15}, "premises": {"c": 15}, "target": "n"}, "answer": {"steps": [["v", "p + 1", "p + 12"], ["p", "a + 11", "a + 23"], ["a", "l + 15", "l + 38"], ["l", "h + 1", "h + 39"], ["h", "c + 18", "c + 57"], ["c", 15, "72"]], "target_var_name": "n", "target_value": 72, "value_dict": {"c": 15}, "is_reverse": true}} | 461 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = z + 3; p = a + 11; c = 15; l = h + 1; z = m + 15; n = v + 11; t = e + 11; h = c + 18; a = l + 15; v = p + 1; o = t + 18; i = o + 4; m = c + 15. Given that c = 15, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = p + 1 to n, which gives n = p + 12.\n2. Substitute p = a + 11 to n, which gives n = a + 23.\n3. Substitute a = l + 15 to n, which gives n = l + 38.\n4. Substitute l = h + 1 to n, which gives n = h + 39.\n5. Substitute h = c + 18 to n, which gives n = c + 57.\n6. Substitute c = 15 to n, which gives n = 72.\n\nThus, the final answer is n = \\boxed{72}.",
"index": 461,
"question": "Suppose a collection of variables is related by the following definitions: e = z + 3; p = a + 11; c = 15; l = h + 1; z = m + 15; n = v + 11; t = e + 11; h = c + 18; a = l + 15; v = p + 1; o = t + 18; i = o + 4; m = c + 15. Given that c = 15, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"b": "r + 16", "x": "b + 11", "m": "x + 5", "u": "m + 11", "d": "u + 17", "i": "d + 8", "g": "r + 6", "s": "g + 3", "a": "s + 19", "q": "a + 11", "c": "q + 8", "v": "c + 17", "r": 20}, "premises": {"r": 20}, "target": "i"}, "answer": {"steps": [["d", "u + 17", "u + 25"], ["u", "m + 11", "m + 36"], ["m", "x + 5", "x + 41"], ["x", "b + 11", "b + 52"], ["b", "r + 16", "r + 68"], ["r", 20, "88"]], "target_var_name": "i", "target_value": 88, "value_dict": {"r": 20}, "is_reverse": true}} | 462 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = u + 17; v = c + 17; i = d + 8; c = q + 8; q = a + 11; m = x + 5; g = r + 6; x = b + 11; r = 20; s = g + 3; u = m + 11; a = s + 19; b = r + 16. Given that r = 20, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = u + 17 to i, which gives i = u + 25.\n2. Substitute u = m + 11 to i, which gives i = m + 36.\n3. Substitute m = x + 5 to i, which gives i = x + 41.\n4. Substitute x = b + 11 to i, which gives i = b + 52.\n5. Substitute b = r + 16 to i, which gives i = r + 68.\n6. Substitute r = 20 to i, which gives i = 88.\n\nThus, the final answer is i = \\boxed{88}.",
"index": 462,
"question": "Suppose a collection of variables is related by the following definitions: d = u + 17; v = c + 17; i = d + 8; c = q + 8; q = a + 11; m = x + 5; g = r + 6; x = b + 11; r = 20; s = g + 3; u = m + 11; a = s + 19; b = r + 16. Given that r = 20, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"f": "t + 20", "a": "f + 15", "v": "a + 14", "z": "v + 2", "h": "z + 10", "g": "h + 10", "m": "t + 18", "n": "m + 20", "q": "n + 13", "s": "q + 9", "w": "s + 1", "c": "w + 13", "t": 18}, "premises": {"t": 18}, "target": "g"}, "answer": {"steps": [["h", "z + 10", "z + 20"], ["z", "v + 2", "v + 22"], ["v", "a + 14", "a + 36"], ["a", "f + 15", "f + 51"], ["f", "t + 20", "t + 71"], ["t", 18, "89"]], "target_var_name": "g", "target_value": 89, "value_dict": {"t": 18}, "is_reverse": true}} | 463 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = s + 1; g = h + 10; q = n + 13; t = 18; a = f + 15; m = t + 18; c = w + 13; v = a + 14; z = v + 2; n = m + 20; s = q + 9; h = z + 10; f = t + 20. Given that t = 18, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = z + 10 to g, which gives g = z + 20.\n2. Substitute z = v + 2 to g, which gives g = v + 22.\n3. Substitute v = a + 14 to g, which gives g = a + 36.\n4. Substitute a = f + 15 to g, which gives g = f + 51.\n5. Substitute f = t + 20 to g, which gives g = t + 71.\n6. Substitute t = 18 to g, which gives g = 89.\n\nThus, the final answer is g = \\boxed{89}.",
"index": 463,
"question": "Suppose a collection of variables is related by the following definitions: w = s + 1; g = h + 10; q = n + 13; t = 18; a = f + 15; m = t + 18; c = w + 13; v = a + 14; z = v + 2; n = m + 20; s = q + 9; h = z + 10; f = t + 20. Given that t = 18, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"w": "p + 18", "s": "w + 18", "h": "s + 12", "k": "h + 8", "i": "k + 10", "b": "i + 7", "x": "p + 2", "e": "x + 7", "q": "e + 9", "l": "q + 10", "y": "l + 3", "r": "y + 12", "p": 18}, "premises": {"p": 18}, "target": "b"}, "answer": {"steps": [["i", "k + 10", "k + 17"], ["k", "h + 8", "h + 25"], ["h", "s + 12", "s + 37"], ["s", "w + 18", "w + 55"], ["w", "p + 18", "p + 73"], ["p", 18, "91"]], "target_var_name": "b", "target_value": 91, "value_dict": {"p": 18}, "is_reverse": true}} | 464 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = p + 18; s = w + 18; k = h + 8; p = 18; r = y + 12; y = l + 3; i = k + 10; x = p + 2; q = e + 9; e = x + 7; h = s + 12; b = i + 7; l = q + 10. If p = 18, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = k + 10 to b, which gives b = k + 17.\n2. Substitute k = h + 8 to b, which gives b = h + 25.\n3. Substitute h = s + 12 to b, which gives b = s + 37.\n4. Substitute s = w + 18 to b, which gives b = w + 55.\n5. Substitute w = p + 18 to b, which gives b = p + 73.\n6. Substitute p = 18 to b, which gives b = 91.\n\nThus, the final answer is b = \\boxed{91}.",
"index": 464,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = p + 18; s = w + 18; k = h + 8; p = 18; r = y + 12; y = l + 3; i = k + 10; x = p + 2; q = e + 9; e = x + 7; h = s + 12; b = i + 7; l = q + 10. If p = 18, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"m": "r + 10", "h": "m + 19", "q": "h + 14", "a": "q + 12", "c": "a + 7", "w": "c + 12", "i": "r + 17", "y": "i + 11", "b": "y + 17", "t": "b + 7", "e": "t + 10", "j": "e + 2", "r": 4}, "premises": {"r": 4}, "target": "w"}, "answer": {"steps": [["c", "a + 7", "a + 19"], ["a", "q + 12", "q + 31"], ["q", "h + 14", "h + 45"], ["h", "m + 19", "m + 64"], ["m", "r + 10", "r + 74"], ["r", 4, "78"]], "target_var_name": "w", "target_value": 78, "value_dict": {"r": 4}, "is_reverse": true}} | 465 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = m + 19; w = c + 12; y = i + 11; r = 4; a = q + 12; q = h + 14; m = r + 10; t = b + 7; e = t + 10; c = a + 7; b = y + 17; j = e + 2; i = r + 17. If r = 4, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = a + 7 to w, which gives w = a + 19.\n2. Substitute a = q + 12 to w, which gives w = q + 31.\n3. Substitute q = h + 14 to w, which gives w = h + 45.\n4. Substitute h = m + 19 to w, which gives w = m + 64.\n5. Substitute m = r + 10 to w, which gives w = r + 74.\n6. Substitute r = 4 to w, which gives w = 78.\n\nThus, the final answer is w = \\boxed{78}.",
"index": 465,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = m + 19; w = c + 12; y = i + 11; r = 4; a = q + 12; q = h + 14; m = r + 10; t = b + 7; e = t + 10; c = a + 7; b = y + 17; j = e + 2; i = r + 17. If r = 4, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"z": "s + 17", "m": "z + 11", "b": "m + 18", "t": "b + 13", "f": "t + 15", "w": "f + 2", "y": "s + 4", "d": "y + 1", "c": "d + 11", "e": "c + 11", "i": "e + 10", "g": "i + 8", "s": 9}, "premises": {"s": 9}, "target": "w"}, "answer": {"steps": [["f", "t + 15", "t + 17"], ["t", "b + 13", "b + 30"], ["b", "m + 18", "m + 48"], ["m", "z + 11", "z + 59"], ["z", "s + 17", "s + 76"], ["s", 9, "85"]], "target_var_name": "w", "target_value": 85, "value_dict": {"s": 9}, "is_reverse": true}} | 466 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = f + 2; s = 9; g = i + 8; i = e + 10; b = m + 18; f = t + 15; t = b + 13; e = c + 11; c = d + 11; z = s + 17; y = s + 4; d = y + 1; m = z + 11. If s = 9, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = t + 15 to w, which gives w = t + 17.\n2. Substitute t = b + 13 to w, which gives w = b + 30.\n3. Substitute b = m + 18 to w, which gives w = m + 48.\n4. Substitute m = z + 11 to w, which gives w = z + 59.\n5. Substitute z = s + 17 to w, which gives w = s + 76.\n6. Substitute s = 9 to w, which gives w = 85.\n\nThus, the final answer is w = \\boxed{85}.",
"index": 466,
"question": "Consider a system of variables where each variable is defined as follows: w = f + 2; s = 9; g = i + 8; i = e + 10; b = m + 18; f = t + 15; t = b + 13; e = c + 11; c = d + 11; z = s + 17; y = s + 4; d = y + 1; m = z + 11. If s = 9, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"p": "h + 13", "w": "p + 4", "n": "w + 16", "z": "n + 19", "u": "z + 12", "f": "u + 6", "l": "h + 7", "c": "l + 16", "t": "c + 19", "x": "t + 19", "r": "x + 17", "g": "r + 18", "h": 15}, "premises": {"h": 15}, "target": "f"}, "answer": {"steps": [["u", "z + 12", "z + 18"], ["z", "n + 19", "n + 37"], ["n", "w + 16", "w + 53"], ["w", "p + 4", "p + 57"], ["p", "h + 13", "h + 70"], ["h", 15, "85"]], "target_var_name": "f", "target_value": 85, "value_dict": {"h": 15}, "is_reverse": true}} | 467 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = w + 16; t = c + 19; w = p + 4; z = n + 19; l = h + 7; g = r + 18; x = t + 19; h = 15; c = l + 16; f = u + 6; p = h + 13; u = z + 12; r = x + 17. Given that h = 15, find 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 u = z + 12 to f, which gives f = z + 18.\n2. Substitute z = n + 19 to f, which gives f = n + 37.\n3. Substitute n = w + 16 to f, which gives f = w + 53.\n4. Substitute w = p + 4 to f, which gives f = p + 57.\n5. Substitute p = h + 13 to f, which gives f = h + 70.\n6. Substitute h = 15 to f, which gives f = 85.\n\nThus, the final answer is f = \\boxed{85}.",
"index": 467,
"question": "Suppose a collection of variables is related by the following definitions: n = w + 16; t = c + 19; w = p + 4; z = n + 19; l = h + 7; g = r + 18; x = t + 19; h = 15; c = l + 16; f = u + 6; p = h + 13; u = z + 12; r = x + 17. Given that h = 15, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"p": "n + 18", "h": "p + 2", "f": "h + 7", "v": "f + 13", "o": "v + 10", "e": "o + 2", "c": "n + 20", "k": "c + 19", "d": "k + 5", "y": "d + 7", "q": "y + 19", "s": "q + 4", "n": 3}, "premises": {"n": 3}, "target": "e"}, "answer": {"steps": [["p", "n + 18", 21], ["h", "p + 2", 23], ["f", "h + 7", 30], ["v", "f + 13", 43], ["o", "v + 10", 53], ["e", "o + 2", 55]], "target_var_name": "e", "target_value": 55, "value_dict": {"n": 3, "p": 21, "h": 23, "f": 30, "v": 43, "o": 53, "e": 55}, "is_reverse": false}} | 468 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = y + 19; c = n + 20; v = f + 13; n = 3; e = o + 2; o = v + 10; f = h + 7; y = d + 7; k = c + 19; p = n + 18; s = q + 4; d = k + 5; h = p + 2. Given that n = 3, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = n + 18, which gives p = 21.\n2. Compute h using h = p + 2, which gives h = 23.\n3. Compute f using f = h + 7, which gives f = 30.\n4. Compute v using v = f + 13, which gives v = 43.\n5. Compute o using o = v + 10, which gives o = 53.\n6. Compute e using e = o + 2, which gives e = 55.\n\nThus, the final answer is e = \\boxed{55}.",
"index": 468,
"question": "Suppose a collection of variables is related by the following definitions: q = y + 19; c = n + 20; v = f + 13; n = 3; e = o + 2; o = v + 10; f = h + 7; y = d + 7; k = c + 19; p = n + 18; s = q + 4; d = k + 5; h = p + 2. Given that n = 3, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"t": "q + 5", "j": "t + 2", "i": "j + 18", "x": "i + 7", "e": "x + 5", "l": "e + 8", "v": "q + 20", "n": "v + 4", "s": "n + 16", "z": "s + 14", "c": "z + 7", "p": "c + 1", "q": 14}, "premises": {"q": 14}, "target": "l"}, "answer": {"steps": [["e", "x + 5", "x + 13"], ["x", "i + 7", "i + 20"], ["i", "j + 18", "j + 38"], ["j", "t + 2", "t + 40"], ["t", "q + 5", "q + 45"], ["q", 14, "59"]], "target_var_name": "l", "target_value": 59, "value_dict": {"q": 14}, "is_reverse": true}} | 469 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = n + 16; x = i + 7; l = e + 8; e = x + 5; j = t + 2; z = s + 14; p = c + 1; v = q + 20; q = 14; i = j + 18; c = z + 7; n = v + 4; t = q + 5. If q = 14, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = x + 5 to l, which gives l = x + 13.\n2. Substitute x = i + 7 to l, which gives l = i + 20.\n3. Substitute i = j + 18 to l, which gives l = j + 38.\n4. Substitute j = t + 2 to l, which gives l = t + 40.\n5. Substitute t = q + 5 to l, which gives l = q + 45.\n6. Substitute q = 14 to l, which gives l = 59.\n\nThus, the final answer is l = \\boxed{59}.",
"index": 469,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = n + 16; x = i + 7; l = e + 8; e = x + 5; j = t + 2; z = s + 14; p = c + 1; v = q + 20; q = 14; i = j + 18; c = z + 7; n = v + 4; t = q + 5. If q = 14, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"o": "u + 6", "g": "o + 9", "h": "g + 11", "b": "h + 14", "n": "b + 7", "a": "n + 10", "c": "u + 1", "w": "c + 18", "p": "w + 6", "j": "p + 4", "i": "j + 18", "v": "i + 8", "u": 6}, "premises": {"u": 6}, "target": "a"}, "answer": {"steps": [["o", "u + 6", 12], ["g", "o + 9", 21], ["h", "g + 11", 32], ["b", "h + 14", 46], ["n", "b + 7", 53], ["a", "n + 10", 63]], "target_var_name": "a", "target_value": 63, "value_dict": {"u": 6, "o": 12, "g": 21, "h": 32, "b": 46, "n": 53, "a": 63}, "is_reverse": false}} | 470 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = u + 1; a = n + 10; u = 6; j = p + 4; g = o + 9; v = i + 8; i = j + 18; h = g + 11; p = w + 6; w = c + 18; b = h + 14; o = u + 6; n = b + 7. If u = 6, 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. Compute o using o = u + 6, which gives o = 12.\n2. Compute g using g = o + 9, which gives g = 21.\n3. Compute h using h = g + 11, which gives h = 32.\n4. Compute b using b = h + 14, which gives b = 46.\n5. Compute n using n = b + 7, which gives n = 53.\n6. Compute a using a = n + 10, which gives a = 63.\n\nThus, the final answer is a = \\boxed{63}.",
"index": 470,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = u + 1; a = n + 10; u = 6; j = p + 4; g = o + 9; v = i + 8; i = j + 18; h = g + 11; p = w + 6; w = c + 18; b = h + 14; o = u + 6; n = b + 7. If u = 6, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"n": "d + 15", "v": "n + 12", "y": "v + 17", "s": "y + 8", "m": "s + 6", "p": "m + 13", "t": "d + 15", "l": "t + 6", "q": "l + 16", "r": "q + 17", "b": "r + 5", "i": "b + 15", "d": 5}, "premises": {"d": 5}, "target": "p"}, "answer": {"steps": [["m", "s + 6", "s + 19"], ["s", "y + 8", "y + 27"], ["y", "v + 17", "v + 44"], ["v", "n + 12", "n + 56"], ["n", "d + 15", "d + 71"], ["d", 5, "76"]], "target_var_name": "p", "target_value": 76, "value_dict": {"d": 5}, "is_reverse": true}} | 471 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = 5; m = s + 6; n = d + 15; l = t + 6; q = l + 16; r = q + 17; s = y + 8; v = n + 12; p = m + 13; b = r + 5; i = b + 15; t = d + 15; y = v + 17. If d = 5, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = s + 6 to p, which gives p = s + 19.\n2. Substitute s = y + 8 to p, which gives p = y + 27.\n3. Substitute y = v + 17 to p, which gives p = v + 44.\n4. Substitute v = n + 12 to p, which gives p = n + 56.\n5. Substitute n = d + 15 to p, which gives p = d + 71.\n6. Substitute d = 5 to p, which gives p = 76.\n\nThus, the final answer is p = \\boxed{76}.",
"index": 471,
"question": "Consider a system of variables where each variable is defined as follows: d = 5; m = s + 6; n = d + 15; l = t + 6; q = l + 16; r = q + 17; s = y + 8; v = n + 12; p = m + 13; b = r + 5; i = b + 15; t = d + 15; y = v + 17. If d = 5, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"k": "s + 8", "v": "k + 1", "n": "v + 11", "e": "n + 1", "i": "e + 11", "h": "i + 10", "x": "s + 14", "g": "x + 15", "o": "g + 1", "r": "o + 10", "j": "r + 8", "d": "j + 13", "s": 14}, "premises": {"s": 14}, "target": "h"}, "answer": {"steps": [["i", "e + 11", "e + 21"], ["e", "n + 1", "n + 22"], ["n", "v + 11", "v + 33"], ["v", "k + 1", "k + 34"], ["k", "s + 8", "s + 42"], ["s", 14, "56"]], "target_var_name": "h", "target_value": 56, "value_dict": {"s": 14}, "is_reverse": true}} | 472 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = n + 1; r = o + 10; n = v + 11; h = i + 10; i = e + 11; o = g + 1; x = s + 14; g = x + 15; k = s + 8; v = k + 1; d = j + 13; s = 14; j = r + 8. Given that s = 14, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = e + 11 to h, which gives h = e + 21.\n2. Substitute e = n + 1 to h, which gives h = n + 22.\n3. Substitute n = v + 11 to h, which gives h = v + 33.\n4. Substitute v = k + 1 to h, which gives h = k + 34.\n5. Substitute k = s + 8 to h, which gives h = s + 42.\n6. Substitute s = 14 to h, which gives h = 56.\n\nThus, the final answer is h = \\boxed{56}.",
"index": 472,
"question": "Suppose a collection of variables is related by the following definitions: e = n + 1; r = o + 10; n = v + 11; h = i + 10; i = e + 11; o = g + 1; x = s + 14; g = x + 15; k = s + 8; v = k + 1; d = j + 13; s = 14; j = r + 8. Given that s = 14, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"o": "x + 4", "r": "o + 10", "q": "r + 19", "i": "q + 1", "j": "i + 10", "b": "j + 14", "k": "x + 18", "w": "k + 1", "m": "w + 6", "z": "m + 2", "c": "z + 2", "t": "c + 7", "x": 20}, "premises": {"x": 20}, "target": "b"}, "answer": {"steps": [["o", "x + 4", 24], ["r", "o + 10", 34], ["q", "r + 19", 53], ["i", "q + 1", 54], ["j", "i + 10", 64], ["b", "j + 14", 78]], "target_var_name": "b", "target_value": 78, "value_dict": {"x": 20, "o": 24, "r": 34, "q": 53, "i": 54, "j": 64, "b": 78}, "is_reverse": false}} | 473 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = j + 14; i = q + 1; j = i + 10; c = z + 2; m = w + 6; z = m + 2; q = r + 19; o = x + 4; k = x + 18; t = c + 7; r = o + 10; x = 20; w = k + 1. If x = 20, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = x + 4, which gives o = 24.\n2. Compute r using r = o + 10, which gives r = 34.\n3. Compute q using q = r + 19, which gives q = 53.\n4. Compute i using i = q + 1, which gives i = 54.\n5. Compute j using j = i + 10, which gives j = 64.\n6. Compute b using b = j + 14, which gives b = 78.\n\nThus, the final answer is b = \\boxed{78}.",
"index": 473,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = j + 14; i = q + 1; j = i + 10; c = z + 2; m = w + 6; z = m + 2; q = r + 19; o = x + 4; k = x + 18; t = c + 7; r = o + 10; x = 20; w = k + 1. If x = 20, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"q": "p + 3", "u": "q + 14", "w": "u + 14", "r": "w + 1", "a": "r + 1", "h": "a + 14", "g": "p + 2", "s": "g + 1", "x": "s + 4", "t": "x + 9", "k": "t + 14", "n": "k + 13", "p": 4}, "premises": {"p": 4}, "target": "h"}, "answer": {"steps": [["a", "r + 1", "r + 15"], ["r", "w + 1", "w + 16"], ["w", "u + 14", "u + 30"], ["u", "q + 14", "q + 44"], ["q", "p + 3", "p + 47"], ["p", 4, "51"]], "target_var_name": "h", "target_value": 51, "value_dict": {"p": 4}, "is_reverse": true}} | 474 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = 4; k = t + 14; a = r + 1; w = u + 14; s = g + 1; t = x + 9; h = a + 14; q = p + 3; r = w + 1; u = q + 14; g = p + 2; x = s + 4; n = k + 13. Given that p = 4, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = r + 1 to h, which gives h = r + 15.\n2. Substitute r = w + 1 to h, which gives h = w + 16.\n3. Substitute w = u + 14 to h, which gives h = u + 30.\n4. Substitute u = q + 14 to h, which gives h = q + 44.\n5. Substitute q = p + 3 to h, which gives h = p + 47.\n6. Substitute p = 4 to h, which gives h = 51.\n\nThus, the final answer is h = \\boxed{51}.",
"index": 474,
"question": "Suppose a collection of variables is related by the following definitions: p = 4; k = t + 14; a = r + 1; w = u + 14; s = g + 1; t = x + 9; h = a + 14; q = p + 3; r = w + 1; u = q + 14; g = p + 2; x = s + 4; n = k + 13. Given that p = 4, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"v": "r + 9", "o": "v + 4", "u": "o + 15", "d": "u + 20", "f": "d + 19", "b": "f + 7", "q": "r + 3", "s": "q + 9", "k": "s + 6", "t": "k + 3", "c": "t + 12", "e": "c + 20", "r": 17}, "premises": {"r": 17}, "target": "b"}, "answer": {"steps": [["f", "d + 19", "d + 26"], ["d", "u + 20", "u + 46"], ["u", "o + 15", "o + 61"], ["o", "v + 4", "v + 65"], ["v", "r + 9", "r + 74"], ["r", 17, "91"]], "target_var_name": "b", "target_value": 91, "value_dict": {"r": 17}, "is_reverse": true}} | 475 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = c + 20; t = k + 3; o = v + 4; v = r + 9; c = t + 12; u = o + 15; b = f + 7; f = d + 19; s = q + 9; d = u + 20; r = 17; k = s + 6; q = r + 3. Given that r = 17, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = d + 19 to b, which gives b = d + 26.\n2. Substitute d = u + 20 to b, which gives b = u + 46.\n3. Substitute u = o + 15 to b, which gives b = o + 61.\n4. Substitute o = v + 4 to b, which gives b = v + 65.\n5. Substitute v = r + 9 to b, which gives b = r + 74.\n6. Substitute r = 17 to b, which gives b = 91.\n\nThus, the final answer is b = \\boxed{91}.",
"index": 475,
"question": "Suppose a collection of variables is related by the following definitions: e = c + 20; t = k + 3; o = v + 4; v = r + 9; c = t + 12; u = o + 15; b = f + 7; f = d + 19; s = q + 9; d = u + 20; r = 17; k = s + 6; q = r + 3. Given that r = 17, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"o": "w + 11", "r": "o + 14", "q": "r + 18", "y": "q + 10", "j": "y + 13", "t": "j + 8", "a": "w + 11", "p": "a + 18", "b": "p + 7", "u": "b + 4", "h": "u + 18", "g": "h + 20", "w": 10}, "premises": {"w": 10}, "target": "t"}, "answer": {"steps": [["o", "w + 11", 21], ["r", "o + 14", 35], ["q", "r + 18", 53], ["y", "q + 10", 63], ["j", "y + 13", 76], ["t", "j + 8", 84]], "target_var_name": "t", "target_value": 84, "value_dict": {"w": 10, "o": 21, "r": 35, "q": 53, "y": 63, "j": 76, "t": 84}, "is_reverse": false}} | 476 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = 10; q = r + 18; t = j + 8; r = o + 14; h = u + 18; p = a + 18; u = b + 4; j = y + 13; y = q + 10; b = p + 7; o = w + 11; g = h + 20; a = w + 11. If w = 10, 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. Compute o using o = w + 11, which gives o = 21.\n2. Compute r using r = o + 14, which gives r = 35.\n3. Compute q using q = r + 18, which gives q = 53.\n4. Compute y using y = q + 10, which gives y = 63.\n5. Compute j using j = y + 13, which gives j = 76.\n6. Compute t using t = j + 8, which gives t = 84.\n\nThus, the final answer is t = \\boxed{84}.",
"index": 476,
"question": "Consider a system of variables where each variable is defined as follows: w = 10; q = r + 18; t = j + 8; r = o + 14; h = u + 18; p = a + 18; u = b + 4; j = y + 13; y = q + 10; b = p + 7; o = w + 11; g = h + 20; a = w + 11. If w = 10, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"i": "y + 20", "j": "i + 4", "x": "j + 19", "l": "x + 1", "v": "l + 18", "r": "v + 7", "o": "y + 3", "t": "o + 13", "z": "t + 20", "u": "z + 12", "h": "u + 8", "f": "h + 1", "y": 8}, "premises": {"y": 8}, "target": "r"}, "answer": {"steps": [["v", "l + 18", "l + 25"], ["l", "x + 1", "x + 26"], ["x", "j + 19", "j + 45"], ["j", "i + 4", "i + 49"], ["i", "y + 20", "y + 69"], ["y", 8, "77"]], "target_var_name": "r", "target_value": 77, "value_dict": {"y": 8}, "is_reverse": true}} | 477 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = 8; l = x + 1; j = i + 4; z = t + 20; r = v + 7; h = u + 8; u = z + 12; i = y + 20; t = o + 13; x = j + 19; v = l + 18; o = y + 3; f = h + 1. If y = 8, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = l + 18 to r, which gives r = l + 25.\n2. Substitute l = x + 1 to r, which gives r = x + 26.\n3. Substitute x = j + 19 to r, which gives r = j + 45.\n4. Substitute j = i + 4 to r, which gives r = i + 49.\n5. Substitute i = y + 20 to r, which gives r = y + 69.\n6. Substitute y = 8 to r, which gives r = 77.\n\nThus, the final answer is r = \\boxed{77}.",
"index": 477,
"question": "Consider a system of variables where each variable is defined as follows: y = 8; l = x + 1; j = i + 4; z = t + 20; r = v + 7; h = u + 8; u = z + 12; i = y + 20; t = o + 13; x = j + 19; v = l + 18; o = y + 3; f = h + 1. If y = 8, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"w": "v + 9", "j": "w + 3", "r": "j + 5", "f": "r + 4", "p": "f + 20", "z": "p + 8", "o": "v + 15", "q": "o + 10", "i": "q + 14", "y": "i + 15", "h": "y + 15", "k": "h + 15", "v": 17}, "premises": {"v": 17}, "target": "z"}, "answer": {"steps": [["w", "v + 9", 26], ["j", "w + 3", 29], ["r", "j + 5", 34], ["f", "r + 4", 38], ["p", "f + 20", 58], ["z", "p + 8", 66]], "target_var_name": "z", "target_value": 66, "value_dict": {"v": 17, "w": 26, "j": 29, "r": 34, "f": 38, "p": 58, "z": 66}, "is_reverse": false}} | 478 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = y + 15; y = i + 15; q = o + 10; r = j + 5; f = r + 4; o = v + 15; w = v + 9; j = w + 3; k = h + 15; p = f + 20; i = q + 14; v = 17; z = p + 8. Given that v = 17, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = v + 9, which gives w = 26.\n2. Compute j using j = w + 3, which gives j = 29.\n3. Compute r using r = j + 5, which gives r = 34.\n4. Compute f using f = r + 4, which gives f = 38.\n5. Compute p using p = f + 20, which gives p = 58.\n6. Compute z using z = p + 8, which gives z = 66.\n\nThus, the final answer is z = \\boxed{66}.",
"index": 478,
"question": "Suppose a collection of variables is related by the following definitions: h = y + 15; y = i + 15; q = o + 10; r = j + 5; f = r + 4; o = v + 15; w = v + 9; j = w + 3; k = h + 15; p = f + 20; i = q + 14; v = 17; z = p + 8. Given that v = 17, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"r": "h + 4", "x": "r + 13", "e": "x + 8", "q": "e + 9", "a": "q + 18", "s": "a + 4", "d": "h + 20", "u": "d + 7", "m": "u + 11", "z": "m + 16", "g": "z + 17", "t": "g + 9", "h": 8}, "premises": {"h": 8}, "target": "s"}, "answer": {"steps": [["r", "h + 4", 12], ["x", "r + 13", 25], ["e", "x + 8", 33], ["q", "e + 9", 42], ["a", "q + 18", 60], ["s", "a + 4", 64]], "target_var_name": "s", "target_value": 64, "value_dict": {"h": 8, "r": 12, "x": 25, "e": 33, "q": 42, "a": 60, "s": 64}, "is_reverse": false}} | 479 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = g + 9; h = 8; m = u + 11; z = m + 16; s = a + 4; g = z + 17; u = d + 7; x = r + 13; e = x + 8; a = q + 18; d = h + 20; r = h + 4; q = e + 9. Given that h = 8, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = h + 4, which gives r = 12.\n2. Compute x using x = r + 13, which gives x = 25.\n3. Compute e using e = x + 8, which gives e = 33.\n4. Compute q using q = e + 9, which gives q = 42.\n5. Compute a using a = q + 18, which gives a = 60.\n6. Compute s using s = a + 4, which gives s = 64.\n\nThus, the final answer is s = \\boxed{64}.",
"index": 479,
"question": "Suppose a collection of variables is related by the following definitions: t = g + 9; h = 8; m = u + 11; z = m + 16; s = a + 4; g = z + 17; u = d + 7; x = r + 13; e = x + 8; a = q + 18; d = h + 20; r = h + 4; q = e + 9. Given that h = 8, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"n": "a + 7", "o": "n + 8", "v": "o + 13", "m": "v + 8", "i": "m + 11", "s": "i + 1", "g": "a + 12", "w": "g + 2", "f": "w + 8", "c": "f + 20", "h": "c + 8", "z": "h + 11", "a": 1}, "premises": {"a": 1}, "target": "s"}, "answer": {"steps": [["i", "m + 11", "m + 12"], ["m", "v + 8", "v + 20"], ["v", "o + 13", "o + 33"], ["o", "n + 8", "n + 41"], ["n", "a + 7", "a + 48"], ["a", 1, "49"]], "target_var_name": "s", "target_value": 49, "value_dict": {"a": 1}, "is_reverse": true}} | 480 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = w + 8; w = g + 2; m = v + 8; a = 1; n = a + 7; z = h + 11; g = a + 12; o = n + 8; c = f + 20; i = m + 11; h = c + 8; v = o + 13; s = i + 1. If a = 1, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = m + 11 to s, which gives s = m + 12.\n2. Substitute m = v + 8 to s, which gives s = v + 20.\n3. Substitute v = o + 13 to s, which gives s = o + 33.\n4. Substitute o = n + 8 to s, which gives s = n + 41.\n5. Substitute n = a + 7 to s, which gives s = a + 48.\n6. Substitute a = 1 to s, which gives s = 49.\n\nThus, the final answer is s = \\boxed{49}.",
"index": 480,
"question": "Consider a system of variables where each variable is defined as follows: f = w + 8; w = g + 2; m = v + 8; a = 1; n = a + 7; z = h + 11; g = a + 12; o = n + 8; c = f + 20; i = m + 11; h = c + 8; v = o + 13; s = i + 1. If a = 1, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"v": "d + 10", "w": "v + 16", "i": "w + 11", "u": "i + 15", "h": "u + 7", "f": "h + 11", "k": "d + 13", "n": "k + 19", "c": "n + 15", "y": "c + 9", "a": "y + 20", "l": "a + 6", "d": 13}, "premises": {"d": 13}, "target": "f"}, "answer": {"steps": [["v", "d + 10", 23], ["w", "v + 16", 39], ["i", "w + 11", 50], ["u", "i + 15", 65], ["h", "u + 7", 72], ["f", "h + 11", 83]], "target_var_name": "f", "target_value": 83, "value_dict": {"d": 13, "v": 23, "w": 39, "i": 50, "u": 65, "h": 72, "f": 83}, "is_reverse": false}} | 481 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = w + 11; k = d + 13; f = h + 11; c = n + 15; a = y + 20; y = c + 9; v = d + 10; u = i + 15; w = v + 16; h = u + 7; n = k + 19; l = a + 6; d = 13. If d = 13, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = d + 10, which gives v = 23.\n2. Compute w using w = v + 16, which gives w = 39.\n3. Compute i using i = w + 11, which gives i = 50.\n4. Compute u using u = i + 15, which gives u = 65.\n5. Compute h using h = u + 7, which gives h = 72.\n6. Compute f using f = h + 11, which gives f = 83.\n\nThus, the final answer is f = \\boxed{83}.",
"index": 481,
"question": "Consider a system of variables where each variable is defined as follows: i = w + 11; k = d + 13; f = h + 11; c = n + 15; a = y + 20; y = c + 9; v = d + 10; u = i + 15; w = v + 16; h = u + 7; n = k + 19; l = a + 6; d = 13. If d = 13, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"g": "o + 9", "i": "g + 13", "v": "i + 12", "s": "v + 9", "x": "s + 20", "w": "x + 7", "h": "o + 14", "a": "h + 5", "z": "a + 5", "t": "z + 1", "u": "t + 7", "y": "u + 6", "o": 11}, "premises": {"o": 11}, "target": "w"}, "answer": {"steps": [["x", "s + 20", "s + 27"], ["s", "v + 9", "v + 36"], ["v", "i + 12", "i + 48"], ["i", "g + 13", "g + 61"], ["g", "o + 9", "o + 70"], ["o", 11, "81"]], "target_var_name": "w", "target_value": 81, "value_dict": {"o": 11}, "is_reverse": true}} | 482 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = u + 6; u = t + 7; i = g + 13; a = h + 5; o = 11; h = o + 14; x = s + 20; s = v + 9; z = a + 5; g = o + 9; w = x + 7; v = i + 12; t = z + 1. If o = 11, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = s + 20 to w, which gives w = s + 27.\n2. Substitute s = v + 9 to w, which gives w = v + 36.\n3. Substitute v = i + 12 to w, which gives w = i + 48.\n4. Substitute i = g + 13 to w, which gives w = g + 61.\n5. Substitute g = o + 9 to w, which gives w = o + 70.\n6. Substitute o = 11 to w, which gives w = 81.\n\nThus, the final answer is w = \\boxed{81}.",
"index": 482,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = u + 6; u = t + 7; i = g + 13; a = h + 5; o = 11; h = o + 14; x = s + 20; s = v + 9; z = a + 5; g = o + 9; w = x + 7; v = i + 12; t = z + 1. If o = 11, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"f": "b + 8", "h": "f + 18", "m": "h + 20", "p": "m + 2", "i": "p + 19", "y": "i + 14", "u": "b + 9", "s": "u + 6", "j": "s + 14", "l": "j + 8", "w": "l + 6", "n": "w + 16", "b": 13}, "premises": {"b": 13}, "target": "y"}, "answer": {"steps": [["i", "p + 19", "p + 33"], ["p", "m + 2", "m + 35"], ["m", "h + 20", "h + 55"], ["h", "f + 18", "f + 73"], ["f", "b + 8", "b + 81"], ["b", 13, "94"]], "target_var_name": "y", "target_value": 94, "value_dict": {"b": 13}, "is_reverse": true}} | 483 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = f + 18; s = u + 6; f = b + 8; m = h + 20; i = p + 19; w = l + 6; j = s + 14; u = b + 9; l = j + 8; n = w + 16; p = m + 2; b = 13; y = i + 14. If b = 13, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = p + 19 to y, which gives y = p + 33.\n2. Substitute p = m + 2 to y, which gives y = m + 35.\n3. Substitute m = h + 20 to y, which gives y = h + 55.\n4. Substitute h = f + 18 to y, which gives y = f + 73.\n5. Substitute f = b + 8 to y, which gives y = b + 81.\n6. Substitute b = 13 to y, which gives y = 94.\n\nThus, the final answer is y = \\boxed{94}.",
"index": 483,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = f + 18; s = u + 6; f = b + 8; m = h + 20; i = p + 19; w = l + 6; j = s + 14; u = b + 9; l = j + 8; n = w + 16; p = m + 2; b = 13; y = i + 14. If b = 13, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"q": "u + 12", "b": "q + 9", "x": "b + 20", "e": "x + 5", "c": "e + 17", "n": "c + 16", "a": "u + 16", "j": "a + 17", "p": "j + 20", "f": "p + 9", "g": "f + 14", "w": "g + 3", "u": 20}, "premises": {"u": 20}, "target": "n"}, "answer": {"steps": [["q", "u + 12", 32], ["b", "q + 9", 41], ["x", "b + 20", 61], ["e", "x + 5", 66], ["c", "e + 17", 83], ["n", "c + 16", 99]], "target_var_name": "n", "target_value": 99, "value_dict": {"u": 20, "q": 32, "b": 41, "x": 61, "e": 66, "c": 83, "n": 99}, "is_reverse": false}} | 484 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = f + 14; p = j + 20; a = u + 16; e = x + 5; n = c + 16; j = a + 17; u = 20; q = u + 12; x = b + 20; w = g + 3; b = q + 9; f = p + 9; c = e + 17. If u = 20, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = u + 12, which gives q = 32.\n2. Compute b using b = q + 9, which gives b = 41.\n3. Compute x using x = b + 20, which gives x = 61.\n4. Compute e using e = x + 5, which gives e = 66.\n5. Compute c using c = e + 17, which gives c = 83.\n6. Compute n using n = c + 16, which gives n = 99.\n\nThus, the final answer is n = \\boxed{99}.",
"index": 484,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = f + 14; p = j + 20; a = u + 16; e = x + 5; n = c + 16; j = a + 17; u = 20; q = u + 12; x = b + 20; w = g + 3; b = q + 9; f = p + 9; c = e + 17. If u = 20, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"n": "j + 16", "d": "n + 12", "r": "d + 16", "y": "r + 12", "f": "y + 3", "u": "f + 16", "o": "j + 8", "g": "o + 13", "q": "g + 13", "e": "q + 7", "p": "e + 11", "c": "p + 4", "j": 15}, "premises": {"j": 15}, "target": "u"}, "answer": {"steps": [["n", "j + 16", 31], ["d", "n + 12", 43], ["r", "d + 16", 59], ["y", "r + 12", 71], ["f", "y + 3", 74], ["u", "f + 16", 90]], "target_var_name": "u", "target_value": 90, "value_dict": {"j": 15, "n": 31, "d": 43, "r": 59, "y": 71, "f": 74, "u": 90}, "is_reverse": false}} | 485 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = q + 7; d = n + 12; o = j + 8; q = g + 13; c = p + 4; j = 15; r = d + 16; y = r + 12; g = o + 13; f = y + 3; p = e + 11; n = j + 16; u = f + 16. If j = 15, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = j + 16, which gives n = 31.\n2. Compute d using d = n + 12, which gives d = 43.\n3. Compute r using r = d + 16, which gives r = 59.\n4. Compute y using y = r + 12, which gives y = 71.\n5. Compute f using f = y + 3, which gives f = 74.\n6. Compute u using u = f + 16, which gives u = 90.\n\nThus, the final answer is u = \\boxed{90}.",
"index": 485,
"question": "Consider a system of variables where each variable is defined as follows: e = q + 7; d = n + 12; o = j + 8; q = g + 13; c = p + 4; j = 15; r = d + 16; y = r + 12; g = o + 13; f = y + 3; p = e + 11; n = j + 16; u = f + 16. If j = 15, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"o": "s + 5", "f": "o + 13", "t": "f + 8", "m": "t + 19", "d": "m + 18", "k": "d + 11", "c": "s + 20", "q": "c + 7", "x": "q + 2", "n": "x + 8", "u": "n + 19", "g": "u + 12", "s": 3}, "premises": {"s": 3}, "target": "k"}, "answer": {"steps": [["d", "m + 18", "m + 29"], ["m", "t + 19", "t + 48"], ["t", "f + 8", "f + 56"], ["f", "o + 13", "o + 69"], ["o", "s + 5", "s + 74"], ["s", 3, "77"]], "target_var_name": "k", "target_value": 77, "value_dict": {"s": 3}, "is_reverse": true}} | 486 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = m + 18; u = n + 19; t = f + 8; o = s + 5; f = o + 13; k = d + 11; n = x + 8; g = u + 12; c = s + 20; x = q + 2; m = t + 19; q = c + 7; s = 3. If s = 3, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = m + 18 to k, which gives k = m + 29.\n2. Substitute m = t + 19 to k, which gives k = t + 48.\n3. Substitute t = f + 8 to k, which gives k = f + 56.\n4. Substitute f = o + 13 to k, which gives k = o + 69.\n5. Substitute o = s + 5 to k, which gives k = s + 74.\n6. Substitute s = 3 to k, which gives k = 77.\n\nThus, the final answer is k = \\boxed{77}.",
"index": 486,
"question": "Consider a system of variables where each variable is defined as follows: d = m + 18; u = n + 19; t = f + 8; o = s + 5; f = o + 13; k = d + 11; n = x + 8; g = u + 12; c = s + 20; x = q + 2; m = t + 19; q = c + 7; s = 3. If s = 3, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"f": "p + 5", "n": "f + 11", "i": "n + 17", "t": "i + 6", "z": "t + 12", "y": "z + 17", "w": "p + 20", "l": "w + 15", "r": "l + 16", "b": "r + 16", "c": "b + 2", "g": "c + 18", "p": 13}, "premises": {"p": 13}, "target": "y"}, "answer": {"steps": [["f", "p + 5", 18], ["n", "f + 11", 29], ["i", "n + 17", 46], ["t", "i + 6", 52], ["z", "t + 12", 64], ["y", "z + 17", 81]], "target_var_name": "y", "target_value": 81, "value_dict": {"p": 13, "f": 18, "n": 29, "i": 46, "t": 52, "z": 64, "y": 81}, "is_reverse": false}} | 487 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = n + 17; n = f + 11; y = z + 17; w = p + 20; z = t + 12; c = b + 2; g = c + 18; p = 13; r = l + 16; b = r + 16; l = w + 15; f = p + 5; t = i + 6. Given that p = 13, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = p + 5, which gives f = 18.\n2. Compute n using n = f + 11, which gives n = 29.\n3. Compute i using i = n + 17, which gives i = 46.\n4. Compute t using t = i + 6, which gives t = 52.\n5. Compute z using z = t + 12, which gives z = 64.\n6. Compute y using y = z + 17, which gives y = 81.\n\nThus, the final answer is y = \\boxed{81}.",
"index": 487,
"question": "Suppose a collection of variables is related by the following definitions: i = n + 17; n = f + 11; y = z + 17; w = p + 20; z = t + 12; c = b + 2; g = c + 18; p = 13; r = l + 16; b = r + 16; l = w + 15; f = p + 5; t = i + 6. Given that p = 13, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"c": "v + 4", "q": "c + 12", "y": "q + 16", "z": "y + 7", "e": "z + 2", "i": "e + 18", "w": "v + 12", "h": "w + 11", "b": "h + 11", "m": "b + 9", "s": "m + 10", "o": "s + 17", "v": 1}, "premises": {"v": 1}, "target": "i"}, "answer": {"steps": [["e", "z + 2", "z + 20"], ["z", "y + 7", "y + 27"], ["y", "q + 16", "q + 43"], ["q", "c + 12", "c + 55"], ["c", "v + 4", "v + 59"], ["v", 1, "60"]], "target_var_name": "i", "target_value": 60, "value_dict": {"v": 1}, "is_reverse": true}} | 488 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = v + 12; q = c + 12; e = z + 2; b = h + 11; m = b + 9; o = s + 17; v = 1; z = y + 7; s = m + 10; y = q + 16; i = e + 18; h = w + 11; c = v + 4. If v = 1, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = z + 2 to i, which gives i = z + 20.\n2. Substitute z = y + 7 to i, which gives i = y + 27.\n3. Substitute y = q + 16 to i, which gives i = q + 43.\n4. Substitute q = c + 12 to i, which gives i = c + 55.\n5. Substitute c = v + 4 to i, which gives i = v + 59.\n6. Substitute v = 1 to i, which gives i = 60.\n\nThus, the final answer is i = \\boxed{60}.",
"index": 488,
"question": "Consider a system of variables where each variable is defined as follows: w = v + 12; q = c + 12; e = z + 2; b = h + 11; m = b + 9; o = s + 17; v = 1; z = y + 7; s = m + 10; y = q + 16; i = e + 18; h = w + 11; c = v + 4. If v = 1, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"q": "r + 9", "c": "q + 15", "x": "c + 9", "i": "x + 10", "m": "i + 3", "k": "m + 14", "f": "r + 1", "j": "f + 7", "d": "j + 5", "g": "d + 17", "s": "g + 9", "t": "s + 16", "r": 6}, "premises": {"r": 6}, "target": "k"}, "answer": {"steps": [["m", "i + 3", "i + 17"], ["i", "x + 10", "x + 27"], ["x", "c + 9", "c + 36"], ["c", "q + 15", "q + 51"], ["q", "r + 9", "r + 60"], ["r", 6, "66"]], "target_var_name": "k", "target_value": 66, "value_dict": {"r": 6}, "is_reverse": true}} | 489 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = m + 14; c = q + 15; r = 6; x = c + 9; f = r + 1; g = d + 17; i = x + 10; d = j + 5; m = i + 3; j = f + 7; q = r + 9; s = g + 9; t = s + 16. If r = 6, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = i + 3 to k, which gives k = i + 17.\n2. Substitute i = x + 10 to k, which gives k = x + 27.\n3. Substitute x = c + 9 to k, which gives k = c + 36.\n4. Substitute c = q + 15 to k, which gives k = q + 51.\n5. Substitute q = r + 9 to k, which gives k = r + 60.\n6. Substitute r = 6 to k, which gives k = 66.\n\nThus, the final answer is k = \\boxed{66}.",
"index": 489,
"question": "Consider a system of variables where each variable is defined as follows: k = m + 14; c = q + 15; r = 6; x = c + 9; f = r + 1; g = d + 17; i = x + 10; d = j + 5; m = i + 3; j = f + 7; q = r + 9; s = g + 9; t = s + 16. If r = 6, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"n": "a + 9", "m": "n + 4", "t": "m + 6", "p": "t + 8", "w": "p + 20", "f": "w + 7", "z": "a + 20", "g": "z + 19", "o": "g + 8", "s": "o + 5", "x": "s + 15", "u": "x + 18", "a": 2}, "premises": {"a": 2}, "target": "f"}, "answer": {"steps": [["n", "a + 9", 11], ["m", "n + 4", 15], ["t", "m + 6", 21], ["p", "t + 8", 29], ["w", "p + 20", 49], ["f", "w + 7", 56]], "target_var_name": "f", "target_value": 56, "value_dict": {"a": 2, "n": 11, "m": 15, "t": 21, "p": 29, "w": 49, "f": 56}, "is_reverse": false}} | 490 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = m + 6; g = z + 19; p = t + 8; a = 2; u = x + 18; s = o + 5; x = s + 15; n = a + 9; f = w + 7; o = g + 8; z = a + 20; m = n + 4; w = p + 20. Given that a = 2, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = a + 9, which gives n = 11.\n2. Compute m using m = n + 4, which gives m = 15.\n3. Compute t using t = m + 6, which gives t = 21.\n4. Compute p using p = t + 8, which gives p = 29.\n5. Compute w using w = p + 20, which gives w = 49.\n6. Compute f using f = w + 7, which gives f = 56.\n\nThus, the final answer is f = \\boxed{56}.",
"index": 490,
"question": "Suppose a collection of variables is related by the following definitions: t = m + 6; g = z + 19; p = t + 8; a = 2; u = x + 18; s = o + 5; x = s + 15; n = a + 9; f = w + 7; o = g + 8; z = a + 20; m = n + 4; w = p + 20. Given that a = 2, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"w": "n + 20", "a": "w + 13", "g": "a + 9", "x": "g + 12", "q": "x + 3", "f": "q + 9", "v": "n + 5", "c": "v + 19", "z": "c + 13", "j": "z + 4", "e": "j + 2", "p": "e + 9", "n": 8}, "premises": {"n": 8}, "target": "f"}, "answer": {"steps": [["q", "x + 3", "x + 12"], ["x", "g + 12", "g + 24"], ["g", "a + 9", "a + 33"], ["a", "w + 13", "w + 46"], ["w", "n + 20", "n + 66"], ["n", 8, "74"]], "target_var_name": "f", "target_value": 74, "value_dict": {"n": 8}, "is_reverse": true}} | 491 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = 8; f = q + 9; c = v + 19; p = e + 9; a = w + 13; w = n + 20; x = g + 12; g = a + 9; j = z + 4; e = j + 2; v = n + 5; q = x + 3; z = c + 13. If n = 8, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = x + 3 to f, which gives f = x + 12.\n2. Substitute x = g + 12 to f, which gives f = g + 24.\n3. Substitute g = a + 9 to f, which gives f = a + 33.\n4. Substitute a = w + 13 to f, which gives f = w + 46.\n5. Substitute w = n + 20 to f, which gives f = n + 66.\n6. Substitute n = 8 to f, which gives f = 74.\n\nThus, the final answer is f = \\boxed{74}.",
"index": 491,
"question": "Consider a system of variables where each variable is defined as follows: n = 8; f = q + 9; c = v + 19; p = e + 9; a = w + 13; w = n + 20; x = g + 12; g = a + 9; j = z + 4; e = j + 2; v = n + 5; q = x + 3; z = c + 13. If n = 8, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"b": "e + 10", "g": "b + 8", "l": "g + 16", "r": "l + 17", "m": "r + 1", "y": "m + 5", "v": "e + 5", "t": "v + 5", "n": "t + 5", "z": "n + 12", "a": "z + 16", "w": "a + 15", "e": 18}, "premises": {"e": 18}, "target": "y"}, "answer": {"steps": [["m", "r + 1", "r + 6"], ["r", "l + 17", "l + 23"], ["l", "g + 16", "g + 39"], ["g", "b + 8", "b + 47"], ["b", "e + 10", "e + 57"], ["e", 18, "75"]], "target_var_name": "y", "target_value": 75, "value_dict": {"e": 18}, "is_reverse": true}} | 492 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = e + 5; n = t + 5; b = e + 10; y = m + 5; g = b + 8; l = g + 16; t = v + 5; e = 18; m = r + 1; a = z + 16; z = n + 12; w = a + 15; r = l + 17. Given that e = 18, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = r + 1 to y, which gives y = r + 6.\n2. Substitute r = l + 17 to y, which gives y = l + 23.\n3. Substitute l = g + 16 to y, which gives y = g + 39.\n4. Substitute g = b + 8 to y, which gives y = b + 47.\n5. Substitute b = e + 10 to y, which gives y = e + 57.\n6. Substitute e = 18 to y, which gives y = 75.\n\nThus, the final answer is y = \\boxed{75}.",
"index": 492,
"question": "Suppose a collection of variables is related by the following definitions: v = e + 5; n = t + 5; b = e + 10; y = m + 5; g = b + 8; l = g + 16; t = v + 5; e = 18; m = r + 1; a = z + 16; z = n + 12; w = a + 15; r = l + 17. Given that e = 18, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"a": "u + 7", "e": "a + 4", "l": "e + 16", "d": "l + 5", "i": "d + 7", "w": "i + 19", "x": "u + 16", "y": "x + 3", "o": "y + 6", "b": "o + 20", "j": "b + 17", "h": "j + 19", "u": 14}, "premises": {"u": 14}, "target": "w"}, "answer": {"steps": [["a", "u + 7", 21], ["e", "a + 4", 25], ["l", "e + 16", 41], ["d", "l + 5", 46], ["i", "d + 7", 53], ["w", "i + 19", 72]], "target_var_name": "w", "target_value": 72, "value_dict": {"u": 14, "a": 21, "e": 25, "l": 41, "d": 46, "i": 53, "w": 72}, "is_reverse": false}} | 493 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = y + 6; w = i + 19; d = l + 5; l = e + 16; i = d + 7; e = a + 4; y = x + 3; h = j + 19; u = 14; b = o + 20; x = u + 16; a = u + 7; j = b + 17. If u = 14, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute a using a = u + 7, which gives a = 21.\n2. Compute e using e = a + 4, which gives e = 25.\n3. Compute l using l = e + 16, which gives l = 41.\n4. Compute d using d = l + 5, which gives d = 46.\n5. Compute i using i = d + 7, which gives i = 53.\n6. Compute w using w = i + 19, which gives w = 72.\n\nThus, the final answer is w = \\boxed{72}.",
"index": 493,
"question": "Consider a system of variables where each variable is defined as follows: o = y + 6; w = i + 19; d = l + 5; l = e + 16; i = d + 7; e = a + 4; y = x + 3; h = j + 19; u = 14; b = o + 20; x = u + 16; a = u + 7; j = b + 17. If u = 14, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"z": "n + 17", "d": "z + 8", "w": "d + 2", "o": "w + 5", "u": "o + 5", "a": "u + 10", "p": "n + 5", "t": "p + 13", "b": "t + 9", "f": "b + 15", "i": "f + 19", "k": "i + 12", "n": 4}, "premises": {"n": 4}, "target": "a"}, "answer": {"steps": [["z", "n + 17", 21], ["d", "z + 8", 29], ["w", "d + 2", 31], ["o", "w + 5", 36], ["u", "o + 5", 41], ["a", "u + 10", 51]], "target_var_name": "a", "target_value": 51, "value_dict": {"n": 4, "z": 21, "d": 29, "w": 31, "o": 36, "u": 41, "a": 51}, "is_reverse": false}} | 494 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = w + 5; k = i + 12; u = o + 5; n = 4; z = n + 17; b = t + 9; d = z + 8; p = n + 5; t = p + 13; a = u + 10; f = b + 15; w = d + 2; i = f + 19. If n = 4, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = n + 17, which gives z = 21.\n2. Compute d using d = z + 8, which gives d = 29.\n3. Compute w using w = d + 2, which gives w = 31.\n4. Compute o using o = w + 5, which gives o = 36.\n5. Compute u using u = o + 5, which gives u = 41.\n6. Compute a using a = u + 10, which gives a = 51.\n\nThus, the final answer is a = \\boxed{51}.",
"index": 494,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = w + 5; k = i + 12; u = o + 5; n = 4; z = n + 17; b = t + 9; d = z + 8; p = n + 5; t = p + 13; a = u + 10; f = b + 15; w = d + 2; i = f + 19. If n = 4, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"k": "h + 10", "t": "k + 19", "x": "t + 8", "i": "x + 13", "d": "i + 18", "y": "d + 1", "o": "h + 15", "j": "o + 5", "p": "j + 12", "e": "p + 3", "u": "e + 19", "a": "u + 2", "h": 11}, "premises": {"h": 11}, "target": "y"}, "answer": {"steps": [["k", "h + 10", 21], ["t", "k + 19", 40], ["x", "t + 8", 48], ["i", "x + 13", 61], ["d", "i + 18", 79], ["y", "d + 1", 80]], "target_var_name": "y", "target_value": 80, "value_dict": {"h": 11, "k": 21, "t": 40, "x": 48, "i": 61, "d": 79, "y": 80}, "is_reverse": false}} | 495 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = k + 19; i = x + 13; a = u + 2; j = o + 5; x = t + 8; e = p + 3; u = e + 19; d = i + 18; p = j + 12; h = 11; o = h + 15; k = h + 10; y = d + 1. If h = 11, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = h + 10, which gives k = 21.\n2. Compute t using t = k + 19, which gives t = 40.\n3. Compute x using x = t + 8, which gives x = 48.\n4. Compute i using i = x + 13, which gives i = 61.\n5. Compute d using d = i + 18, which gives d = 79.\n6. Compute y using y = d + 1, which gives y = 80.\n\nThus, the final answer is y = \\boxed{80}.",
"index": 495,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = k + 19; i = x + 13; a = u + 2; j = o + 5; x = t + 8; e = p + 3; u = e + 19; d = i + 18; p = j + 12; h = 11; o = h + 15; k = h + 10; y = d + 1. If h = 11, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"u": "a + 14", "n": "u + 20", "d": "n + 5", "i": "d + 17", "b": "i + 14", "q": "b + 19", "g": "a + 1", "l": "g + 16", "t": "l + 7", "c": "t + 5", "o": "c + 18", "w": "o + 14", "a": 13}, "premises": {"a": 13}, "target": "q"}, "answer": {"steps": [["u", "a + 14", 27], ["n", "u + 20", 47], ["d", "n + 5", 52], ["i", "d + 17", 69], ["b", "i + 14", 83], ["q", "b + 19", 102]], "target_var_name": "q", "target_value": 102, "value_dict": {"a": 13, "u": 27, "n": 47, "d": 52, "i": 69, "b": 83, "q": 102}, "is_reverse": false}} | 496 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = d + 17; n = u + 20; a = 13; w = o + 14; b = i + 14; t = l + 7; q = b + 19; o = c + 18; l = g + 16; u = a + 14; d = n + 5; c = t + 5; g = a + 1. If a = 13, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 102,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = a + 14, which gives u = 27.\n2. Compute n using n = u + 20, which gives n = 47.\n3. Compute d using d = n + 5, which gives d = 52.\n4. Compute i using i = d + 17, which gives i = 69.\n5. Compute b using b = i + 14, which gives b = 83.\n6. Compute q using q = b + 19, which gives q = 102.\n\nThus, the final answer is q = \\boxed{102}.",
"index": 496,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = d + 17; n = u + 20; a = 13; w = o + 14; b = i + 14; t = l + 7; q = b + 19; o = c + 18; l = g + 16; u = a + 14; d = n + 5; c = t + 5; g = a + 1. If a = 13, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"d": "b + 14", "c": "d + 7", "u": "c + 2", "e": "u + 19", "o": "e + 4", "y": "o + 15", "f": "b + 4", "w": "f + 10", "k": "w + 1", "j": "k + 14", "r": "j + 6", "p": "r + 17", "b": 17}, "premises": {"b": 17}, "target": "y"}, "answer": {"steps": [["o", "e + 4", "e + 19"], ["e", "u + 19", "u + 38"], ["u", "c + 2", "c + 40"], ["c", "d + 7", "d + 47"], ["d", "b + 14", "b + 61"], ["b", 17, "78"]], "target_var_name": "y", "target_value": 78, "value_dict": {"b": 17}, "is_reverse": true}} | 497 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = j + 6; j = k + 14; o = e + 4; w = f + 10; k = w + 1; e = u + 19; b = 17; d = b + 14; c = d + 7; y = o + 15; f = b + 4; u = c + 2; p = r + 17. Given that b = 17, find 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 o = e + 4 to y, which gives y = e + 19.\n2. Substitute e = u + 19 to y, which gives y = u + 38.\n3. Substitute u = c + 2 to y, which gives y = c + 40.\n4. Substitute c = d + 7 to y, which gives y = d + 47.\n5. Substitute d = b + 14 to y, which gives y = b + 61.\n6. Substitute b = 17 to y, which gives y = 78.\n\nThus, the final answer is y = \\boxed{78}.",
"index": 497,
"question": "Suppose a collection of variables is related by the following definitions: r = j + 6; j = k + 14; o = e + 4; w = f + 10; k = w + 1; e = u + 19; b = 17; d = b + 14; c = d + 7; y = o + 15; f = b + 4; u = c + 2; p = r + 17. Given that b = 17, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"x": "l + 3", "u": "x + 6", "p": "u + 17", "j": "p + 13", "h": "j + 7", "r": "h + 10", "t": "l + 9", "s": "t + 16", "y": "s + 14", "n": "y + 20", "k": "n + 7", "a": "k + 9", "l": 19}, "premises": {"l": 19}, "target": "r"}, "answer": {"steps": [["x", "l + 3", 22], ["u", "x + 6", 28], ["p", "u + 17", 45], ["j", "p + 13", 58], ["h", "j + 7", 65], ["r", "h + 10", 75]], "target_var_name": "r", "target_value": 75, "value_dict": {"l": 19, "x": 22, "u": 28, "p": 45, "j": 58, "h": 65, "r": 75}, "is_reverse": false}} | 498 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = u + 17; y = s + 14; k = n + 7; l = 19; r = h + 10; s = t + 16; u = x + 6; a = k + 9; n = y + 20; x = l + 3; h = j + 7; t = l + 9; j = p + 13. If l = 19, determine the 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. Compute x using x = l + 3, which gives x = 22.\n2. Compute u using u = x + 6, which gives u = 28.\n3. Compute p using p = u + 17, which gives p = 45.\n4. Compute j using j = p + 13, which gives j = 58.\n5. Compute h using h = j + 7, which gives h = 65.\n6. Compute r using r = h + 10, which gives r = 75.\n\nThus, the final answer is r = \\boxed{75}.",
"index": 498,
"question": "Consider a system of variables where each variable is defined as follows: p = u + 17; y = s + 14; k = n + 7; l = 19; r = h + 10; s = t + 16; u = x + 6; a = k + 9; n = y + 20; x = l + 3; h = j + 7; t = l + 9; j = p + 13. If l = 19, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"y": "f + 1", "z": "y + 15", "t": "z + 2", "d": "t + 20", "v": "d + 16", "u": "v + 14", "l": "f + 16", "s": "l + 7", "n": "s + 7", "k": "n + 6", "q": "k + 5", "j": "q + 10", "f": 4}, "premises": {"f": 4}, "target": "u"}, "answer": {"steps": [["y", "f + 1", 5], ["z", "y + 15", 20], ["t", "z + 2", 22], ["d", "t + 20", 42], ["v", "d + 16", 58], ["u", "v + 14", 72]], "target_var_name": "u", "target_value": 72, "value_dict": {"f": 4, "y": 5, "z": 20, "t": 22, "d": 42, "v": 58, "u": 72}, "is_reverse": false}} | 499 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = l + 7; v = d + 16; n = s + 7; f = 4; q = k + 5; k = n + 6; d = t + 20; u = v + 14; l = f + 16; t = z + 2; y = f + 1; z = y + 15; j = q + 10. Given that f = 4, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = f + 1, which gives y = 5.\n2. Compute z using z = y + 15, which gives z = 20.\n3. Compute t using t = z + 2, which gives t = 22.\n4. Compute d using d = t + 20, which gives d = 42.\n5. Compute v using v = d + 16, which gives v = 58.\n6. Compute u using u = v + 14, which gives u = 72.\n\nThus, the final answer is u = \\boxed{72}.",
"index": 499,
"question": "Suppose a collection of variables is related by the following definitions: s = l + 7; v = d + 16; n = s + 7; f = 4; q = k + 5; k = n + 6; d = t + 20; u = v + 14; l = f + 16; t = z + 2; y = f + 1; z = y + 15; j = q + 10. Given that f = 4, find the value of u.",
"split": "train"
} |
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