meta stringlengths 493 517 | id int64 0 25.6k | problem_solution_idx int64 0 0 | world_id stringclasses 1 value | data_source stringclasses 1 value | prompt listlengths 1 1 | ability stringclasses 1 value | reward_model dict | extra_info dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"c": "z + 16", "m": "c + 9", "o": "m + 4", "h": "o + 17", "i": "h + 14", "u": "i + 6", "a": "z + 19", "s": "a + 1", "g": "s + 8", "v": "g + 9", "n": "v + 15", "k": "n + 1", "z": 10}, "premises": {"z": 10}, "target": "u"}, "answer": {"steps": [["i", "h + 14", "h + 20"], ["h", "o + 17", "o + 37"], ["o", "m + 4", "m + 41"], ["m", "c + 9", "c + 50"], ["c", "z + 16", "z + 66"], ["z", 10, "76"]], "target_var_name": "u", "target_value": 76, "value_dict": {"z": 10}, "is_reverse": true}} | 10,300 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = v + 15; k = n + 1; m = c + 9; i = h + 14; c = z + 16; h = o + 17; u = i + 6; o = m + 4; g = s + 8; s = a + 1; v = g + 9; z = 10; a = z + 19. Given that z = 10, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = h + 14 to u, which gives u = h + 20.\n2. Substitute h = o + 17 to u, which gives u = o + 37.\n3. Substitute o = m + 4 to u, which gives u = m + 41.\n4. Substitute m = c + 9 to u, which gives u = c + 50.\n5. Substitute c = z + 16 to u, which gives u = z + 66.\n6. Substitute z = 10 to u, which gives u = 76.\n\nThus, the final answer is u = \\boxed{76}.",
"index": 10300,
"question": "Suppose a collection of variables is related by the following definitions: n = v + 15; k = n + 1; m = c + 9; i = h + 14; c = z + 16; h = o + 17; u = i + 6; o = m + 4; g = s + 8; s = a + 1; v = g + 9; z = 10; a = z + 19. Given that z = 10, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"y": "a + 1", "r": "y + 4", "n": "r + 7", "m": "n + 5", "i": "m + 15", "q": "i + 7", "p": "a + 2", "b": "p + 6", "x": "b + 12", "g": "x + 11", "f": "g + 4", "h": "f + 9", "a": 17}, "premises": {"a": 17}, "target": "q"}, "answer": {"steps": [["i", "m + 15", "m + 22"], ["m", "n + 5", "n + 27"], ["n", "r + 7", "r + 34"], ["r", "y + 4", "y + 38"], ["y", "a + 1", "a + 39"], ["a", 17, "56"]], "target_var_name": "q", "target_value": 56, "value_dict": {"a": 17}, "is_reverse": true}} | 10,301 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = n + 5; r = y + 4; a = 17; f = g + 4; x = b + 12; h = f + 9; b = p + 6; y = a + 1; g = x + 11; q = i + 7; p = a + 2; n = r + 7; i = m + 15. If a = 17, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = m + 15 to q, which gives q = m + 22.\n2. Substitute m = n + 5 to q, which gives q = n + 27.\n3. Substitute n = r + 7 to q, which gives q = r + 34.\n4. Substitute r = y + 4 to q, which gives q = y + 38.\n5. Substitute y = a + 1 to q, which gives q = a + 39.\n6. Substitute a = 17 to q, which gives q = 56.\n\nThus, the final answer is q = \\boxed{56}.",
"index": 10301,
"question": "Consider a system of variables where each variable is defined as follows: m = n + 5; r = y + 4; a = 17; f = g + 4; x = b + 12; h = f + 9; b = p + 6; y = a + 1; g = x + 11; q = i + 7; p = a + 2; n = r + 7; i = m + 15. If a = 17, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"f": "p + 6", "l": "f + 3", "i": "l + 10", "q": "i + 1", "c": "q + 1", "m": "c + 11", "t": "p + 10", "s": "t + 8", "w": "s + 20", "v": "w + 4", "j": "v + 6", "g": "j + 13", "p": 16}, "premises": {"p": 16}, "target": "m"}, "answer": {"steps": [["c", "q + 1", "q + 12"], ["q", "i + 1", "i + 13"], ["i", "l + 10", "l + 23"], ["l", "f + 3", "f + 26"], ["f", "p + 6", "p + 32"], ["p", 16, "48"]], "target_var_name": "m", "target_value": 48, "value_dict": {"p": 16}, "is_reverse": true}} | 10,302 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = i + 1; l = f + 3; c = q + 1; s = t + 8; v = w + 4; j = v + 6; i = l + 10; g = j + 13; f = p + 6; w = s + 20; t = p + 10; m = c + 11; p = 16. If p = 16, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = q + 1 to m, which gives m = q + 12.\n2. Substitute q = i + 1 to m, which gives m = i + 13.\n3. Substitute i = l + 10 to m, which gives m = l + 23.\n4. Substitute l = f + 3 to m, which gives m = f + 26.\n5. Substitute f = p + 6 to m, which gives m = p + 32.\n6. Substitute p = 16 to m, which gives m = 48.\n\nThus, the final answer is m = \\boxed{48}.",
"index": 10302,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = i + 1; l = f + 3; c = q + 1; s = t + 8; v = w + 4; j = v + 6; i = l + 10; g = j + 13; f = p + 6; w = s + 20; t = p + 10; m = c + 11; p = 16. If p = 16, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"v": "s + 4", "g": "v + 18", "p": "g + 2", "b": "p + 4", "d": "b + 3", "i": "d + 12", "w": "s + 13", "q": "w + 16", "j": "q + 11", "u": "j + 9", "r": "u + 17", "c": "r + 20", "s": 12}, "premises": {"s": 12}, "target": "i"}, "answer": {"steps": [["d", "b + 3", "b + 15"], ["b", "p + 4", "p + 19"], ["p", "g + 2", "g + 21"], ["g", "v + 18", "v + 39"], ["v", "s + 4", "s + 43"], ["s", 12, "55"]], "target_var_name": "i", "target_value": 55, "value_dict": {"s": 12}, "is_reverse": true}} | 10,303 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = s + 13; g = v + 18; i = d + 12; c = r + 20; b = p + 4; j = q + 11; u = j + 9; v = s + 4; r = u + 17; d = b + 3; p = g + 2; q = w + 16; s = 12. Given that s = 12, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = b + 3 to i, which gives i = b + 15.\n2. Substitute b = p + 4 to i, which gives i = p + 19.\n3. Substitute p = g + 2 to i, which gives i = g + 21.\n4. Substitute g = v + 18 to i, which gives i = v + 39.\n5. Substitute v = s + 4 to i, which gives i = s + 43.\n6. Substitute s = 12 to i, which gives i = 55.\n\nThus, the final answer is i = \\boxed{55}.",
"index": 10303,
"question": "Suppose a collection of variables is related by the following definitions: w = s + 13; g = v + 18; i = d + 12; c = r + 20; b = p + 4; j = q + 11; u = j + 9; v = s + 4; r = u + 17; d = b + 3; p = g + 2; q = w + 16; s = 12. Given that s = 12, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"o": "v + 17", "m": "o + 2", "u": "m + 18", "b": "u + 7", "n": "b + 20", "j": "n + 14", "g": "v + 12", "h": "g + 13", "t": "h + 1", "s": "t + 15", "x": "s + 2", "k": "x + 18", "v": 20}, "premises": {"v": 20}, "target": "j"}, "answer": {"steps": [["n", "b + 20", "b + 34"], ["b", "u + 7", "u + 41"], ["u", "m + 18", "m + 59"], ["m", "o + 2", "o + 61"], ["o", "v + 17", "v + 78"], ["v", 20, "98"]], "target_var_name": "j", "target_value": 98, "value_dict": {"v": 20}, "is_reverse": true}} | 10,304 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = m + 18; g = v + 12; j = n + 14; n = b + 20; k = x + 18; m = o + 2; s = t + 15; b = u + 7; h = g + 13; o = v + 17; t = h + 1; v = 20; x = s + 2. Given that v = 20, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = b + 20 to j, which gives j = b + 34.\n2. Substitute b = u + 7 to j, which gives j = u + 41.\n3. Substitute u = m + 18 to j, which gives j = m + 59.\n4. Substitute m = o + 2 to j, which gives j = o + 61.\n5. Substitute o = v + 17 to j, which gives j = v + 78.\n6. Substitute v = 20 to j, which gives j = 98.\n\nThus, the final answer is j = \\boxed{98}.",
"index": 10304,
"question": "Suppose a collection of variables is related by the following definitions: u = m + 18; g = v + 12; j = n + 14; n = b + 20; k = x + 18; m = o + 2; s = t + 15; b = u + 7; h = g + 13; o = v + 17; t = h + 1; v = 20; x = s + 2. Given that v = 20, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"g": "j + 10", "o": "g + 14", "b": "o + 3", "p": "b + 9", "s": "p + 17", "k": "s + 6", "f": "j + 1", "n": "f + 10", "h": "n + 14", "x": "h + 15", "c": "x + 11", "q": "c + 12", "j": 7}, "premises": {"j": 7}, "target": "k"}, "answer": {"steps": [["s", "p + 17", "p + 23"], ["p", "b + 9", "b + 32"], ["b", "o + 3", "o + 35"], ["o", "g + 14", "g + 49"], ["g", "j + 10", "j + 59"], ["j", 7, "66"]], "target_var_name": "k", "target_value": 66, "value_dict": {"j": 7}, "is_reverse": true}} | 10,305 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = s + 6; n = f + 10; p = b + 9; b = o + 3; g = j + 10; f = j + 1; c = x + 11; j = 7; s = p + 17; o = g + 14; x = h + 15; q = c + 12; h = n + 14. If j = 7, 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 s = p + 17 to k, which gives k = p + 23.\n2. Substitute p = b + 9 to k, which gives k = b + 32.\n3. Substitute b = o + 3 to k, which gives k = o + 35.\n4. Substitute o = g + 14 to k, which gives k = g + 49.\n5. Substitute g = j + 10 to k, which gives k = j + 59.\n6. Substitute j = 7 to k, which gives k = 66.\n\nThus, the final answer is k = \\boxed{66}.",
"index": 10305,
"question": "Consider a system of variables where each variable is defined as follows: k = s + 6; n = f + 10; p = b + 9; b = o + 3; g = j + 10; f = j + 1; c = x + 11; j = 7; s = p + 17; o = g + 14; x = h + 15; q = c + 12; h = n + 14. If j = 7, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"x": "y + 19", "k": "x + 3", "e": "k + 2", "t": "e + 15", "q": "t + 14", "w": "q + 12", "d": "y + 11", "c": "d + 14", "h": "c + 15", "o": "h + 14", "u": "o + 14", "f": "u + 14", "y": 20}, "premises": {"y": 20}, "target": "w"}, "answer": {"steps": [["q", "t + 14", "t + 26"], ["t", "e + 15", "e + 41"], ["e", "k + 2", "k + 43"], ["k", "x + 3", "x + 46"], ["x", "y + 19", "y + 65"], ["y", 20, "85"]], "target_var_name": "w", "target_value": 85, "value_dict": {"y": 20}, "is_reverse": true}} | 10,306 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = c + 15; x = y + 19; c = d + 14; y = 20; q = t + 14; k = x + 3; w = q + 12; e = k + 2; o = h + 14; u = o + 14; f = u + 14; t = e + 15; d = y + 11. If y = 20, what is the resulting 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 q = t + 14 to w, which gives w = t + 26.\n2. Substitute t = e + 15 to w, which gives w = e + 41.\n3. Substitute e = k + 2 to w, which gives w = k + 43.\n4. Substitute k = x + 3 to w, which gives w = x + 46.\n5. Substitute x = y + 19 to w, which gives w = y + 65.\n6. Substitute y = 20 to w, which gives w = 85.\n\nThus, the final answer is w = \\boxed{85}.",
"index": 10306,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = c + 15; x = y + 19; c = d + 14; y = 20; q = t + 14; k = x + 3; w = q + 12; e = k + 2; o = h + 14; u = o + 14; f = u + 14; t = e + 15; d = y + 11. If y = 20, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"h": "v + 12", "r": "h + 3", "j": "r + 15", "b": "j + 14", "a": "b + 19", "s": "a + 3", "k": "v + 4", "z": "k + 16", "o": "z + 10", "t": "o + 12", "i": "t + 5", "l": "i + 4", "v": 3}, "premises": {"v": 3}, "target": "s"}, "answer": {"steps": [["a", "b + 19", "b + 22"], ["b", "j + 14", "j + 36"], ["j", "r + 15", "r + 51"], ["r", "h + 3", "h + 54"], ["h", "v + 12", "v + 66"], ["v", 3, "69"]], "target_var_name": "s", "target_value": 69, "value_dict": {"v": 3}, "is_reverse": true}} | 10,307 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = b + 19; z = k + 16; l = i + 4; o = z + 10; b = j + 14; v = 3; j = r + 15; r = h + 3; k = v + 4; s = a + 3; t = o + 12; i = t + 5; h = v + 12. If v = 3, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = b + 19 to s, which gives s = b + 22.\n2. Substitute b = j + 14 to s, which gives s = j + 36.\n3. Substitute j = r + 15 to s, which gives s = r + 51.\n4. Substitute r = h + 3 to s, which gives s = h + 54.\n5. Substitute h = v + 12 to s, which gives s = v + 66.\n6. Substitute v = 3 to s, which gives s = 69.\n\nThus, the final answer is s = \\boxed{69}.",
"index": 10307,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = b + 19; z = k + 16; l = i + 4; o = z + 10; b = j + 14; v = 3; j = r + 15; r = h + 3; k = v + 4; s = a + 3; t = o + 12; i = t + 5; h = v + 12. If v = 3, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"d": "p + 3", "x": "d + 6", "n": "x + 2", "r": "n + 11", "e": "r + 5", "g": "e + 14", "u": "p + 17", "a": "u + 17", "w": "a + 1", "q": "w + 16", "c": "q + 8", "m": "c + 5", "p": 17}, "premises": {"p": 17}, "target": "g"}, "answer": {"steps": [["e", "r + 5", "r + 19"], ["r", "n + 11", "n + 30"], ["n", "x + 2", "x + 32"], ["x", "d + 6", "d + 38"], ["d", "p + 3", "p + 41"], ["p", 17, "58"]], "target_var_name": "g", "target_value": 58, "value_dict": {"p": 17}, "is_reverse": true}} | 10,308 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = p + 17; m = c + 5; n = x + 2; r = n + 11; c = q + 8; a = u + 17; d = p + 3; q = w + 16; w = a + 1; e = r + 5; p = 17; x = d + 6; g = e + 14. Given that p = 17, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = r + 5 to g, which gives g = r + 19.\n2. Substitute r = n + 11 to g, which gives g = n + 30.\n3. Substitute n = x + 2 to g, which gives g = x + 32.\n4. Substitute x = d + 6 to g, which gives g = d + 38.\n5. Substitute d = p + 3 to g, which gives g = p + 41.\n6. Substitute p = 17 to g, which gives g = 58.\n\nThus, the final answer is g = \\boxed{58}.",
"index": 10308,
"question": "Suppose a collection of variables is related by the following definitions: u = p + 17; m = c + 5; n = x + 2; r = n + 11; c = q + 8; a = u + 17; d = p + 3; q = w + 16; w = a + 1; e = r + 5; p = 17; x = d + 6; g = e + 14. Given that p = 17, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"t": "x + 6", "p": "t + 15", "q": "p + 18", "o": "q + 12", "k": "o + 5", "n": "k + 7", "m": "x + 1", "g": "m + 6", "v": "g + 2", "j": "v + 4", "h": "j + 5", "e": "h + 4", "x": 3}, "premises": {"x": 3}, "target": "n"}, "answer": {"steps": [["k", "o + 5", "o + 12"], ["o", "q + 12", "q + 24"], ["q", "p + 18", "p + 42"], ["p", "t + 15", "t + 57"], ["t", "x + 6", "x + 63"], ["x", 3, "66"]], "target_var_name": "n", "target_value": 66, "value_dict": {"x": 3}, "is_reverse": true}} | 10,309 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = k + 7; g = m + 6; p = t + 15; k = o + 5; h = j + 5; x = 3; j = v + 4; e = h + 4; v = g + 2; m = x + 1; q = p + 18; t = x + 6; o = q + 12. If x = 3, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = o + 5 to n, which gives n = o + 12.\n2. Substitute o = q + 12 to n, which gives n = q + 24.\n3. Substitute q = p + 18 to n, which gives n = p + 42.\n4. Substitute p = t + 15 to n, which gives n = t + 57.\n5. Substitute t = x + 6 to n, which gives n = x + 63.\n6. Substitute x = 3 to n, which gives n = 66.\n\nThus, the final answer is n = \\boxed{66}.",
"index": 10309,
"question": "Consider a system of variables where each variable is defined as follows: n = k + 7; g = m + 6; p = t + 15; k = o + 5; h = j + 5; x = 3; j = v + 4; e = h + 4; v = g + 2; m = x + 1; q = p + 18; t = x + 6; o = q + 12. If x = 3, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"s": "e + 7", "o": "s + 1", "j": "o + 17", "h": "j + 15", "g": "h + 1", "p": "g + 2", "r": "e + 8", "c": "r + 8", "k": "c + 16", "f": "k + 1", "w": "f + 12", "b": "w + 5", "e": 3}, "premises": {"e": 3}, "target": "p"}, "answer": {"steps": [["g", "h + 1", "h + 3"], ["h", "j + 15", "j + 18"], ["j", "o + 17", "o + 35"], ["o", "s + 1", "s + 36"], ["s", "e + 7", "e + 43"], ["e", 3, "46"]], "target_var_name": "p", "target_value": 46, "value_dict": {"e": 3}, "is_reverse": true}} | 10,310 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = f + 12; h = j + 15; j = o + 17; o = s + 1; r = e + 8; s = e + 7; k = c + 16; c = r + 8; e = 3; b = w + 5; p = g + 2; f = k + 1; g = h + 1. If e = 3, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = h + 1 to p, which gives p = h + 3.\n2. Substitute h = j + 15 to p, which gives p = j + 18.\n3. Substitute j = o + 17 to p, which gives p = o + 35.\n4. Substitute o = s + 1 to p, which gives p = s + 36.\n5. Substitute s = e + 7 to p, which gives p = e + 43.\n6. Substitute e = 3 to p, which gives p = 46.\n\nThus, the final answer is p = \\boxed{46}.",
"index": 10310,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = f + 12; h = j + 15; j = o + 17; o = s + 1; r = e + 8; s = e + 7; k = c + 16; c = r + 8; e = 3; b = w + 5; p = g + 2; f = k + 1; g = h + 1. If e = 3, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"u": "d + 12", "s": "u + 6", "k": "s + 9", "g": "k + 11", "r": "g + 14", "m": "r + 4", "c": "d + 14", "q": "c + 19", "b": "q + 16", "y": "b + 19", "w": "y + 16", "z": "w + 7", "d": 4}, "premises": {"d": 4}, "target": "m"}, "answer": {"steps": [["r", "g + 14", "g + 18"], ["g", "k + 11", "k + 29"], ["k", "s + 9", "s + 38"], ["s", "u + 6", "u + 44"], ["u", "d + 12", "d + 56"], ["d", 4, "60"]], "target_var_name": "m", "target_value": 60, "value_dict": {"d": 4}, "is_reverse": true}} | 10,311 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = u + 6; r = g + 14; y = b + 19; k = s + 9; c = d + 14; d = 4; b = q + 16; u = d + 12; w = y + 16; z = w + 7; m = r + 4; q = c + 19; g = k + 11. Given that d = 4, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = g + 14 to m, which gives m = g + 18.\n2. Substitute g = k + 11 to m, which gives m = k + 29.\n3. Substitute k = s + 9 to m, which gives m = s + 38.\n4. Substitute s = u + 6 to m, which gives m = u + 44.\n5. Substitute u = d + 12 to m, which gives m = d + 56.\n6. Substitute d = 4 to m, which gives m = 60.\n\nThus, the final answer is m = \\boxed{60}.",
"index": 10311,
"question": "Suppose a collection of variables is related by the following definitions: s = u + 6; r = g + 14; y = b + 19; k = s + 9; c = d + 14; d = 4; b = q + 16; u = d + 12; w = y + 16; z = w + 7; m = r + 4; q = c + 19; g = k + 11. Given that d = 4, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"d": "c + 10", "t": "d + 15", "f": "t + 19", "e": "f + 6", "j": "e + 17", "i": "j + 10", "w": "c + 19", "l": "w + 1", "k": "l + 1", "s": "k + 19", "u": "s + 13", "z": "u + 20", "c": 11}, "premises": {"c": 11}, "target": "i"}, "answer": {"steps": [["j", "e + 17", "e + 27"], ["e", "f + 6", "f + 33"], ["f", "t + 19", "t + 52"], ["t", "d + 15", "d + 67"], ["d", "c + 10", "c + 77"], ["c", 11, "88"]], "target_var_name": "i", "target_value": 88, "value_dict": {"c": 11}, "is_reverse": true}} | 10,312 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = d + 15; i = j + 10; s = k + 19; f = t + 19; k = l + 1; z = u + 20; j = e + 17; d = c + 10; l = w + 1; u = s + 13; e = f + 6; w = c + 19; c = 11. Given that c = 11, 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 j = e + 17 to i, which gives i = e + 27.\n2. Substitute e = f + 6 to i, which gives i = f + 33.\n3. Substitute f = t + 19 to i, which gives i = t + 52.\n4. Substitute t = d + 15 to i, which gives i = d + 67.\n5. Substitute d = c + 10 to i, which gives i = c + 77.\n6. Substitute c = 11 to i, which gives i = 88.\n\nThus, the final answer is i = \\boxed{88}.",
"index": 10312,
"question": "Suppose a collection of variables is related by the following definitions: t = d + 15; i = j + 10; s = k + 19; f = t + 19; k = l + 1; z = u + 20; j = e + 17; d = c + 10; l = w + 1; u = s + 13; e = f + 6; w = c + 19; c = 11. Given that c = 11, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"r": "l + 10", "g": "r + 20", "n": "g + 9", "e": "n + 8", "x": "e + 3", "t": "x + 14", "k": "l + 2", "d": "k + 20", "b": "d + 16", "c": "b + 1", "v": "c + 6", "m": "v + 11", "l": 10}, "premises": {"l": 10}, "target": "t"}, "answer": {"steps": [["x", "e + 3", "e + 17"], ["e", "n + 8", "n + 25"], ["n", "g + 9", "g + 34"], ["g", "r + 20", "r + 54"], ["r", "l + 10", "l + 64"], ["l", 10, "74"]], "target_var_name": "t", "target_value": 74, "value_dict": {"l": 10}, "is_reverse": true}} | 10,313 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = v + 11; t = x + 14; k = l + 2; r = l + 10; c = b + 1; g = r + 20; v = c + 6; n = g + 9; d = k + 20; e = n + 8; x = e + 3; l = 10; b = d + 16. If l = 10, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = e + 3 to t, which gives t = e + 17.\n2. Substitute e = n + 8 to t, which gives t = n + 25.\n3. Substitute n = g + 9 to t, which gives t = g + 34.\n4. Substitute g = r + 20 to t, which gives t = r + 54.\n5. Substitute r = l + 10 to t, which gives t = l + 64.\n6. Substitute l = 10 to t, which gives t = 74.\n\nThus, the final answer is t = \\boxed{74}.",
"index": 10313,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = v + 11; t = x + 14; k = l + 2; r = l + 10; c = b + 1; g = r + 20; v = c + 6; n = g + 9; d = k + 20; e = n + 8; x = e + 3; l = 10; b = d + 16. If l = 10, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"l": "w + 5", "d": "l + 7", "y": "d + 12", "z": "y + 9", "n": "z + 19", "r": "n + 12", "t": "w + 5", "v": "t + 2", "o": "v + 13", "b": "o + 10", "p": "b + 10", "e": "p + 10", "w": 19}, "premises": {"w": 19}, "target": "r"}, "answer": {"steps": [["n", "z + 19", "z + 31"], ["z", "y + 9", "y + 40"], ["y", "d + 12", "d + 52"], ["d", "l + 7", "l + 59"], ["l", "w + 5", "w + 64"], ["w", 19, "83"]], "target_var_name": "r", "target_value": 83, "value_dict": {"w": 19}, "is_reverse": true}} | 10,314 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = n + 12; y = d + 12; z = y + 9; e = p + 10; t = w + 5; b = o + 10; p = b + 10; w = 19; o = v + 13; v = t + 2; d = l + 7; l = w + 5; n = z + 19. Given that w = 19, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = z + 19 to r, which gives r = z + 31.\n2. Substitute z = y + 9 to r, which gives r = y + 40.\n3. Substitute y = d + 12 to r, which gives r = d + 52.\n4. Substitute d = l + 7 to r, which gives r = l + 59.\n5. Substitute l = w + 5 to r, which gives r = w + 64.\n6. Substitute w = 19 to r, which gives r = 83.\n\nThus, the final answer is r = \\boxed{83}.",
"index": 10314,
"question": "Suppose a collection of variables is related by the following definitions: r = n + 12; y = d + 12; z = y + 9; e = p + 10; t = w + 5; b = o + 10; p = b + 10; w = 19; o = v + 13; v = t + 2; d = l + 7; l = w + 5; n = z + 19. Given that w = 19, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"v": "k + 12", "j": "v + 3", "x": "j + 19", "y": "x + 19", "z": "y + 16", "a": "z + 19", "p": "k + 10", "r": "p + 13", "t": "r + 20", "m": "t + 3", "b": "m + 6", "d": "b + 8", "k": 19}, "premises": {"k": 19}, "target": "a"}, "answer": {"steps": [["z", "y + 16", "y + 35"], ["y", "x + 19", "x + 54"], ["x", "j + 19", "j + 73"], ["j", "v + 3", "v + 76"], ["v", "k + 12", "k + 88"], ["k", 19, "107"]], "target_var_name": "a", "target_value": 107, "value_dict": {"k": 19}, "is_reverse": true}} | 10,315 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = x + 19; k = 19; r = p + 13; d = b + 8; t = r + 20; v = k + 12; p = k + 10; z = y + 16; b = m + 6; m = t + 3; j = v + 3; a = z + 19; x = j + 19. If k = 19, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 107,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = y + 16 to a, which gives a = y + 35.\n2. Substitute y = x + 19 to a, which gives a = x + 54.\n3. Substitute x = j + 19 to a, which gives a = j + 73.\n4. Substitute j = v + 3 to a, which gives a = v + 76.\n5. Substitute v = k + 12 to a, which gives a = k + 88.\n6. Substitute k = 19 to a, which gives a = 107.\n\nThus, the final answer is a = \\boxed{107}.",
"index": 10315,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = x + 19; k = 19; r = p + 13; d = b + 8; t = r + 20; v = k + 12; p = k + 10; z = y + 16; b = m + 6; m = t + 3; j = v + 3; a = z + 19; x = j + 19. If k = 19, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"a": "b + 12", "n": "a + 18", "g": "n + 12", "e": "g + 1", "w": "e + 19", "l": "w + 6", "s": "b + 8", "x": "s + 4", "t": "x + 12", "q": "t + 10", "y": "q + 20", "p": "y + 18", "b": 14}, "premises": {"b": 14}, "target": "l"}, "answer": {"steps": [["w", "e + 19", "e + 25"], ["e", "g + 1", "g + 26"], ["g", "n + 12", "n + 38"], ["n", "a + 18", "a + 56"], ["a", "b + 12", "b + 68"], ["b", 14, "82"]], "target_var_name": "l", "target_value": 82, "value_dict": {"b": 14}, "is_reverse": true}} | 10,316 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = a + 18; s = b + 8; p = y + 18; q = t + 10; a = b + 12; l = w + 6; b = 14; w = e + 19; t = x + 12; g = n + 12; e = g + 1; y = q + 20; x = s + 4. If b = 14, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = e + 19 to l, which gives l = e + 25.\n2. Substitute e = g + 1 to l, which gives l = g + 26.\n3. Substitute g = n + 12 to l, which gives l = n + 38.\n4. Substitute n = a + 18 to l, which gives l = a + 56.\n5. Substitute a = b + 12 to l, which gives l = b + 68.\n6. Substitute b = 14 to l, which gives l = 82.\n\nThus, the final answer is l = \\boxed{82}.",
"index": 10316,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = a + 18; s = b + 8; p = y + 18; q = t + 10; a = b + 12; l = w + 6; b = 14; w = e + 19; t = x + 12; g = n + 12; e = g + 1; y = q + 20; x = s + 4. If b = 14, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"k": "l + 10", "y": "k + 10", "m": "y + 9", "s": "m + 4", "u": "s + 4", "g": "u + 5", "n": "l + 13", "c": "n + 13", "r": "c + 11", "w": "r + 1", "h": "w + 20", "j": "h + 9", "l": 8}, "premises": {"l": 8}, "target": "g"}, "answer": {"steps": [["u", "s + 4", "s + 9"], ["s", "m + 4", "m + 13"], ["m", "y + 9", "y + 22"], ["y", "k + 10", "k + 32"], ["k", "l + 10", "l + 42"], ["l", 8, "50"]], "target_var_name": "g", "target_value": 50, "value_dict": {"l": 8}, "is_reverse": true}} | 10,317 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = h + 9; m = y + 9; c = n + 13; s = m + 4; u = s + 4; r = c + 11; g = u + 5; y = k + 10; n = l + 13; l = 8; h = w + 20; k = l + 10; w = r + 1. Given that l = 8, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = s + 4 to g, which gives g = s + 9.\n2. Substitute s = m + 4 to g, which gives g = m + 13.\n3. Substitute m = y + 9 to g, which gives g = y + 22.\n4. Substitute y = k + 10 to g, which gives g = k + 32.\n5. Substitute k = l + 10 to g, which gives g = l + 42.\n6. Substitute l = 8 to g, which gives g = 50.\n\nThus, the final answer is g = \\boxed{50}.",
"index": 10317,
"question": "Suppose a collection of variables is related by the following definitions: j = h + 9; m = y + 9; c = n + 13; s = m + 4; u = s + 4; r = c + 11; g = u + 5; y = k + 10; n = l + 13; l = 8; h = w + 20; k = l + 10; w = r + 1. Given that l = 8, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"z": "s + 5", "p": "z + 14", "w": "p + 9", "k": "w + 7", "b": "k + 15", "m": "b + 4", "h": "s + 17", "l": "h + 12", "g": "l + 1", "t": "g + 20", "v": "t + 2", "y": "v + 17", "s": 20}, "premises": {"s": 20}, "target": "m"}, "answer": {"steps": [["b", "k + 15", "k + 19"], ["k", "w + 7", "w + 26"], ["w", "p + 9", "p + 35"], ["p", "z + 14", "z + 49"], ["z", "s + 5", "s + 54"], ["s", 20, "74"]], "target_var_name": "m", "target_value": 74, "value_dict": {"s": 20}, "is_reverse": true}} | 10,318 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = k + 15; w = p + 9; p = z + 14; y = v + 17; g = l + 1; t = g + 20; z = s + 5; m = b + 4; l = h + 12; h = s + 17; v = t + 2; k = w + 7; s = 20. If s = 20, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = k + 15 to m, which gives m = k + 19.\n2. Substitute k = w + 7 to m, which gives m = w + 26.\n3. Substitute w = p + 9 to m, which gives m = p + 35.\n4. Substitute p = z + 14 to m, which gives m = z + 49.\n5. Substitute z = s + 5 to m, which gives m = s + 54.\n6. Substitute s = 20 to m, which gives m = 74.\n\nThus, the final answer is m = \\boxed{74}.",
"index": 10318,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = k + 15; w = p + 9; p = z + 14; y = v + 17; g = l + 1; t = g + 20; z = s + 5; m = b + 4; l = h + 12; h = s + 17; v = t + 2; k = w + 7; s = 20. If s = 20, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"s": "x + 10", "r": "s + 19", "i": "r + 5", "f": "i + 11", "a": "f + 8", "z": "a + 3", "m": "x + 4", "o": "m + 6", "d": "o + 17", "w": "d + 16", "u": "w + 2", "p": "u + 13", "x": 16}, "premises": {"x": 16}, "target": "z"}, "answer": {"steps": [["a", "f + 8", "f + 11"], ["f", "i + 11", "i + 22"], ["i", "r + 5", "r + 27"], ["r", "s + 19", "s + 46"], ["s", "x + 10", "x + 56"], ["x", 16, "72"]], "target_var_name": "z", "target_value": 72, "value_dict": {"x": 16}, "is_reverse": true}} | 10,319 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = x + 10; m = x + 4; p = u + 13; u = w + 2; z = a + 3; o = m + 6; f = i + 11; x = 16; r = s + 19; a = f + 8; w = d + 16; d = o + 17; i = r + 5. Given that x = 16, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = f + 8 to z, which gives z = f + 11.\n2. Substitute f = i + 11 to z, which gives z = i + 22.\n3. Substitute i = r + 5 to z, which gives z = r + 27.\n4. Substitute r = s + 19 to z, which gives z = s + 46.\n5. Substitute s = x + 10 to z, which gives z = x + 56.\n6. Substitute x = 16 to z, which gives z = 72.\n\nThus, the final answer is z = \\boxed{72}.",
"index": 10319,
"question": "Suppose a collection of variables is related by the following definitions: s = x + 10; m = x + 4; p = u + 13; u = w + 2; z = a + 3; o = m + 6; f = i + 11; x = 16; r = s + 19; a = f + 8; w = d + 16; d = o + 17; i = r + 5. Given that x = 16, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"a": "h + 13", "e": "a + 2", "t": "e + 13", "k": "t + 20", "n": "k + 16", "r": "n + 13", "c": "h + 4", "q": "c + 17", "l": "q + 7", "w": "l + 2", "i": "w + 3", "z": "i + 9", "h": 2}, "premises": {"h": 2}, "target": "r"}, "answer": {"steps": [["n", "k + 16", "k + 29"], ["k", "t + 20", "t + 49"], ["t", "e + 13", "e + 62"], ["e", "a + 2", "a + 64"], ["a", "h + 13", "h + 77"], ["h", 2, "79"]], "target_var_name": "r", "target_value": 79, "value_dict": {"h": 2}, "is_reverse": true}} | 10,320 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = k + 16; w = l + 2; i = w + 3; l = q + 7; k = t + 20; q = c + 17; c = h + 4; t = e + 13; z = i + 9; a = h + 13; h = 2; e = a + 2; r = n + 13. Given that h = 2, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = k + 16 to r, which gives r = k + 29.\n2. Substitute k = t + 20 to r, which gives r = t + 49.\n3. Substitute t = e + 13 to r, which gives r = e + 62.\n4. Substitute e = a + 2 to r, which gives r = a + 64.\n5. Substitute a = h + 13 to r, which gives r = h + 77.\n6. Substitute h = 2 to r, which gives r = 79.\n\nThus, the final answer is r = \\boxed{79}.",
"index": 10320,
"question": "Suppose a collection of variables is related by the following definitions: n = k + 16; w = l + 2; i = w + 3; l = q + 7; k = t + 20; q = c + 17; c = h + 4; t = e + 13; z = i + 9; a = h + 13; h = 2; e = a + 2; r = n + 13. Given that h = 2, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"d": "a + 19", "n": "d + 6", "p": "n + 5", "w": "p + 3", "j": "w + 8", "r": "j + 10", "l": "a + 14", "e": "l + 19", "v": "e + 14", "m": "v + 19", "b": "m + 7", "y": "b + 3", "a": 1}, "premises": {"a": 1}, "target": "r"}, "answer": {"steps": [["j", "w + 8", "w + 18"], ["w", "p + 3", "p + 21"], ["p", "n + 5", "n + 26"], ["n", "d + 6", "d + 32"], ["d", "a + 19", "a + 51"], ["a", 1, "52"]], "target_var_name": "r", "target_value": 52, "value_dict": {"a": 1}, "is_reverse": true}} | 10,321 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = m + 7; y = b + 3; m = v + 19; v = e + 14; l = a + 14; w = p + 3; p = n + 5; a = 1; j = w + 8; r = j + 10; e = l + 19; d = a + 19; n = d + 6. Given that a = 1, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = w + 8 to r, which gives r = w + 18.\n2. Substitute w = p + 3 to r, which gives r = p + 21.\n3. Substitute p = n + 5 to r, which gives r = n + 26.\n4. Substitute n = d + 6 to r, which gives r = d + 32.\n5. Substitute d = a + 19 to r, which gives r = a + 51.\n6. Substitute a = 1 to r, which gives r = 52.\n\nThus, the final answer is r = \\boxed{52}.",
"index": 10321,
"question": "Suppose a collection of variables is related by the following definitions: b = m + 7; y = b + 3; m = v + 19; v = e + 14; l = a + 14; w = p + 3; p = n + 5; a = 1; j = w + 8; r = j + 10; e = l + 19; d = a + 19; n = d + 6. Given that a = 1, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"h": "j + 6", "m": "h + 15", "c": "m + 12", "v": "c + 16", "o": "v + 12", "k": "o + 11", "f": "j + 20", "q": "f + 11", "z": "q + 11", "x": "z + 11", "b": "x + 11", "t": "b + 2", "j": 10}, "premises": {"j": 10}, "target": "k"}, "answer": {"steps": [["o", "v + 12", "v + 23"], ["v", "c + 16", "c + 39"], ["c", "m + 12", "m + 51"], ["m", "h + 15", "h + 66"], ["h", "j + 6", "j + 72"], ["j", 10, "82"]], "target_var_name": "k", "target_value": 82, "value_dict": {"j": 10}, "is_reverse": true}} | 10,322 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = j + 6; q = f + 11; j = 10; v = c + 16; z = q + 11; m = h + 15; x = z + 11; k = o + 11; b = x + 11; o = v + 12; c = m + 12; t = b + 2; f = j + 20. If j = 10, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = v + 12 to k, which gives k = v + 23.\n2. Substitute v = c + 16 to k, which gives k = c + 39.\n3. Substitute c = m + 12 to k, which gives k = m + 51.\n4. Substitute m = h + 15 to k, which gives k = h + 66.\n5. Substitute h = j + 6 to k, which gives k = j + 72.\n6. Substitute j = 10 to k, which gives k = 82.\n\nThus, the final answer is k = \\boxed{82}.",
"index": 10322,
"question": "Consider a system of variables where each variable is defined as follows: h = j + 6; q = f + 11; j = 10; v = c + 16; z = q + 11; m = h + 15; x = z + 11; k = o + 11; b = x + 11; o = v + 12; c = m + 12; t = b + 2; f = j + 20. If j = 10, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"t": "o + 5", "n": "t + 4", "p": "n + 8", "a": "p + 9", "y": "a + 8", "f": "y + 19", "v": "o + 7", "q": "v + 16", "r": "q + 17", "w": "r + 8", "s": "w + 13", "b": "s + 5", "o": 16}, "premises": {"o": 16}, "target": "f"}, "answer": {"steps": [["y", "a + 8", "a + 27"], ["a", "p + 9", "p + 36"], ["p", "n + 8", "n + 44"], ["n", "t + 4", "t + 48"], ["t", "o + 5", "o + 53"], ["o", 16, "69"]], "target_var_name": "f", "target_value": 69, "value_dict": {"o": 16}, "is_reverse": true}} | 10,323 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = n + 8; s = w + 13; n = t + 4; o = 16; r = q + 17; t = o + 5; y = a + 8; q = v + 16; f = y + 19; a = p + 9; v = o + 7; w = r + 8; b = s + 5. If o = 16, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = a + 8 to f, which gives f = a + 27.\n2. Substitute a = p + 9 to f, which gives f = p + 36.\n3. Substitute p = n + 8 to f, which gives f = n + 44.\n4. Substitute n = t + 4 to f, which gives f = t + 48.\n5. Substitute t = o + 5 to f, which gives f = o + 53.\n6. Substitute o = 16 to f, which gives f = 69.\n\nThus, the final answer is f = \\boxed{69}.",
"index": 10323,
"question": "Consider a system of variables where each variable is defined as follows: p = n + 8; s = w + 13; n = t + 4; o = 16; r = q + 17; t = o + 5; y = a + 8; q = v + 16; f = y + 19; a = p + 9; v = o + 7; w = r + 8; b = s + 5. If o = 16, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"f": "u + 3", "w": "f + 6", "g": "w + 20", "n": "g + 14", "i": "n + 12", "l": "i + 8", "s": "u + 4", "q": "s + 19", "p": "q + 20", "e": "p + 18", "z": "e + 3", "y": "z + 13", "u": 10}, "premises": {"u": 10}, "target": "l"}, "answer": {"steps": [["i", "n + 12", "n + 20"], ["n", "g + 14", "g + 34"], ["g", "w + 20", "w + 54"], ["w", "f + 6", "f + 60"], ["f", "u + 3", "u + 63"], ["u", 10, "73"]], "target_var_name": "l", "target_value": 73, "value_dict": {"u": 10}, "is_reverse": true}} | 10,324 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = i + 8; e = p + 18; p = q + 20; q = s + 19; n = g + 14; i = n + 12; u = 10; f = u + 3; y = z + 13; s = u + 4; g = w + 20; z = e + 3; w = f + 6. If u = 10, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = n + 12 to l, which gives l = n + 20.\n2. Substitute n = g + 14 to l, which gives l = g + 34.\n3. Substitute g = w + 20 to l, which gives l = w + 54.\n4. Substitute w = f + 6 to l, which gives l = f + 60.\n5. Substitute f = u + 3 to l, which gives l = u + 63.\n6. Substitute u = 10 to l, which gives l = 73.\n\nThus, the final answer is l = \\boxed{73}.",
"index": 10324,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = i + 8; e = p + 18; p = q + 20; q = s + 19; n = g + 14; i = n + 12; u = 10; f = u + 3; y = z + 13; s = u + 4; g = w + 20; z = e + 3; w = f + 6. If u = 10, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"q": "r + 6", "h": "q + 2", "o": "h + 18", "g": "o + 1", "p": "g + 8", "l": "p + 15", "v": "r + 5", "m": "v + 2", "n": "m + 7", "d": "n + 1", "b": "d + 8", "j": "b + 16", "r": 5}, "premises": {"r": 5}, "target": "l"}, "answer": {"steps": [["p", "g + 8", "g + 23"], ["g", "o + 1", "o + 24"], ["o", "h + 18", "h + 42"], ["h", "q + 2", "q + 44"], ["q", "r + 6", "r + 50"], ["r", 5, "55"]], "target_var_name": "l", "target_value": 55, "value_dict": {"r": 5}, "is_reverse": true}} | 10,325 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = r + 5; b = d + 8; o = h + 18; q = r + 6; d = n + 1; r = 5; g = o + 1; j = b + 16; h = q + 2; p = g + 8; n = m + 7; m = v + 2; l = p + 15. Given that r = 5, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = g + 8 to l, which gives l = g + 23.\n2. Substitute g = o + 1 to l, which gives l = o + 24.\n3. Substitute o = h + 18 to l, which gives l = h + 42.\n4. Substitute h = q + 2 to l, which gives l = q + 44.\n5. Substitute q = r + 6 to l, which gives l = r + 50.\n6. Substitute r = 5 to l, which gives l = 55.\n\nThus, the final answer is l = \\boxed{55}.",
"index": 10325,
"question": "Suppose a collection of variables is related by the following definitions: v = r + 5; b = d + 8; o = h + 18; q = r + 6; d = n + 1; r = 5; g = o + 1; j = b + 16; h = q + 2; p = g + 8; n = m + 7; m = v + 2; l = p + 15. Given that r = 5, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"u": "d + 4", "n": "u + 14", "z": "n + 3", "k": "z + 3", "i": "k + 11", "q": "i + 7", "b": "d + 6", "g": "b + 6", "r": "g + 12", "x": "r + 3", "y": "x + 14", "a": "y + 3", "d": 12}, "premises": {"d": 12}, "target": "q"}, "answer": {"steps": [["i", "k + 11", "k + 18"], ["k", "z + 3", "z + 21"], ["z", "n + 3", "n + 24"], ["n", "u + 14", "u + 38"], ["u", "d + 4", "d + 42"], ["d", 12, "54"]], "target_var_name": "q", "target_value": 54, "value_dict": {"d": 12}, "is_reverse": true}} | 10,326 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = i + 7; k = z + 3; g = b + 6; u = d + 4; a = y + 3; i = k + 11; n = u + 14; y = x + 14; x = r + 3; d = 12; b = d + 6; r = g + 12; z = n + 3. Given that d = 12, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = k + 11 to q, which gives q = k + 18.\n2. Substitute k = z + 3 to q, which gives q = z + 21.\n3. Substitute z = n + 3 to q, which gives q = n + 24.\n4. Substitute n = u + 14 to q, which gives q = u + 38.\n5. Substitute u = d + 4 to q, which gives q = d + 42.\n6. Substitute d = 12 to q, which gives q = 54.\n\nThus, the final answer is q = \\boxed{54}.",
"index": 10326,
"question": "Suppose a collection of variables is related by the following definitions: q = i + 7; k = z + 3; g = b + 6; u = d + 4; a = y + 3; i = k + 11; n = u + 14; y = x + 14; x = r + 3; d = 12; b = d + 6; r = g + 12; z = n + 3. Given that d = 12, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"g": "i + 13", "l": "g + 19", "v": "l + 9", "z": "v + 18", "y": "z + 11", "f": "y + 4", "n": "i + 14", "c": "n + 14", "d": "c + 8", "j": "d + 6", "p": "j + 3", "o": "p + 3", "i": 8}, "premises": {"i": 8}, "target": "f"}, "answer": {"steps": [["y", "z + 11", "z + 15"], ["z", "v + 18", "v + 33"], ["v", "l + 9", "l + 42"], ["l", "g + 19", "g + 61"], ["g", "i + 13", "i + 74"], ["i", 8, "82"]], "target_var_name": "f", "target_value": 82, "value_dict": {"i": 8}, "is_reverse": true}} | 10,327 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = 8; z = v + 18; j = d + 6; p = j + 3; d = c + 8; g = i + 13; f = y + 4; n = i + 14; o = p + 3; l = g + 19; v = l + 9; c = n + 14; y = z + 11. If i = 8, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = z + 11 to f, which gives f = z + 15.\n2. Substitute z = v + 18 to f, which gives f = v + 33.\n3. Substitute v = l + 9 to f, which gives f = l + 42.\n4. Substitute l = g + 19 to f, which gives f = g + 61.\n5. Substitute g = i + 13 to f, which gives f = i + 74.\n6. Substitute i = 8 to f, which gives f = 82.\n\nThus, the final answer is f = \\boxed{82}.",
"index": 10327,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = 8; z = v + 18; j = d + 6; p = j + 3; d = c + 8; g = i + 13; f = y + 4; n = i + 14; o = p + 3; l = g + 19; v = l + 9; c = n + 14; y = z + 11. If i = 8, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"l": "i + 10", "g": "l + 10", "e": "g + 17", "s": "e + 15", "m": "s + 2", "p": "m + 18", "b": "i + 19", "n": "b + 16", "h": "n + 4", "v": "h + 10", "o": "v + 4", "f": "o + 3", "i": 14}, "premises": {"i": 14}, "target": "p"}, "answer": {"steps": [["m", "s + 2", "s + 20"], ["s", "e + 15", "e + 35"], ["e", "g + 17", "g + 52"], ["g", "l + 10", "l + 62"], ["l", "i + 10", "i + 72"], ["i", 14, "86"]], "target_var_name": "p", "target_value": 86, "value_dict": {"i": 14}, "is_reverse": true}} | 10,328 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = v + 4; g = l + 10; p = m + 18; h = n + 4; i = 14; l = i + 10; b = i + 19; f = o + 3; s = e + 15; v = h + 10; e = g + 17; m = s + 2; n = b + 16. Given that i = 14, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = s + 2 to p, which gives p = s + 20.\n2. Substitute s = e + 15 to p, which gives p = e + 35.\n3. Substitute e = g + 17 to p, which gives p = g + 52.\n4. Substitute g = l + 10 to p, which gives p = l + 62.\n5. Substitute l = i + 10 to p, which gives p = i + 72.\n6. Substitute i = 14 to p, which gives p = 86.\n\nThus, the final answer is p = \\boxed{86}.",
"index": 10328,
"question": "Suppose a collection of variables is related by the following definitions: o = v + 4; g = l + 10; p = m + 18; h = n + 4; i = 14; l = i + 10; b = i + 19; f = o + 3; s = e + 15; v = h + 10; e = g + 17; m = s + 2; n = b + 16. Given that i = 14, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"r": "k + 15", "h": "r + 13", "m": "h + 20", "w": "m + 1", "a": "w + 6", "c": "a + 7", "j": "k + 4", "z": "j + 5", "q": "z + 4", "e": "q + 1", "g": "e + 4", "u": "g + 6", "k": 18}, "premises": {"k": 18}, "target": "c"}, "answer": {"steps": [["a", "w + 6", "w + 13"], ["w", "m + 1", "m + 14"], ["m", "h + 20", "h + 34"], ["h", "r + 13", "r + 47"], ["r", "k + 15", "k + 62"], ["k", 18, "80"]], "target_var_name": "c", "target_value": 80, "value_dict": {"k": 18}, "is_reverse": true}} | 10,329 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = h + 20; w = m + 1; z = j + 5; j = k + 4; a = w + 6; h = r + 13; k = 18; e = q + 1; u = g + 6; r = k + 15; g = e + 4; q = z + 4; c = a + 7. If k = 18, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = w + 6 to c, which gives c = w + 13.\n2. Substitute w = m + 1 to c, which gives c = m + 14.\n3. Substitute m = h + 20 to c, which gives c = h + 34.\n4. Substitute h = r + 13 to c, which gives c = r + 47.\n5. Substitute r = k + 15 to c, which gives c = k + 62.\n6. Substitute k = 18 to c, which gives c = 80.\n\nThus, the final answer is c = \\boxed{80}.",
"index": 10329,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = h + 20; w = m + 1; z = j + 5; j = k + 4; a = w + 6; h = r + 13; k = 18; e = q + 1; u = g + 6; r = k + 15; g = e + 4; q = z + 4; c = a + 7. If k = 18, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"n": "u + 9", "g": "n + 8", "a": "g + 1", "y": "a + 2", "w": "y + 18", "t": "w + 18", "d": "u + 16", "b": "d + 19", "r": "b + 5", "c": "r + 10", "e": "c + 2", "j": "e + 12", "u": 18}, "premises": {"u": 18}, "target": "t"}, "answer": {"steps": [["w", "y + 18", "y + 36"], ["y", "a + 2", "a + 38"], ["a", "g + 1", "g + 39"], ["g", "n + 8", "n + 47"], ["n", "u + 9", "u + 56"], ["u", 18, "74"]], "target_var_name": "t", "target_value": 74, "value_dict": {"u": 18}, "is_reverse": true}} | 10,330 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = w + 18; g = n + 8; u = 18; c = r + 10; y = a + 2; e = c + 2; r = b + 5; b = d + 19; a = g + 1; w = y + 18; n = u + 9; j = e + 12; d = u + 16. Given that u = 18, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = y + 18 to t, which gives t = y + 36.\n2. Substitute y = a + 2 to t, which gives t = a + 38.\n3. Substitute a = g + 1 to t, which gives t = g + 39.\n4. Substitute g = n + 8 to t, which gives t = n + 47.\n5. Substitute n = u + 9 to t, which gives t = u + 56.\n6. Substitute u = 18 to t, which gives t = 74.\n\nThus, the final answer is t = \\boxed{74}.",
"index": 10330,
"question": "Suppose a collection of variables is related by the following definitions: t = w + 18; g = n + 8; u = 18; c = r + 10; y = a + 2; e = c + 2; r = b + 5; b = d + 19; a = g + 1; w = y + 18; n = u + 9; j = e + 12; d = u + 16. Given that u = 18, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"d": "f + 9", "z": "d + 13", "m": "z + 7", "w": "m + 5", "u": "w + 20", "x": "u + 5", "e": "f + 8", "o": "e + 7", "s": "o + 6", "j": "s + 8", "n": "j + 17", "y": "n + 16", "f": 18}, "premises": {"f": 18}, "target": "x"}, "answer": {"steps": [["u", "w + 20", "w + 25"], ["w", "m + 5", "m + 30"], ["m", "z + 7", "z + 37"], ["z", "d + 13", "d + 50"], ["d", "f + 9", "f + 59"], ["f", 18, "77"]], "target_var_name": "x", "target_value": 77, "value_dict": {"f": 18}, "is_reverse": true}} | 10,331 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = m + 5; m = z + 7; x = u + 5; d = f + 9; y = n + 16; e = f + 8; z = d + 13; f = 18; n = j + 17; j = s + 8; o = e + 7; s = o + 6; u = w + 20. If f = 18, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = w + 20 to x, which gives x = w + 25.\n2. Substitute w = m + 5 to x, which gives x = m + 30.\n3. Substitute m = z + 7 to x, which gives x = z + 37.\n4. Substitute z = d + 13 to x, which gives x = d + 50.\n5. Substitute d = f + 9 to x, which gives x = f + 59.\n6. Substitute f = 18 to x, which gives x = 77.\n\nThus, the final answer is x = \\boxed{77}.",
"index": 10331,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = m + 5; m = z + 7; x = u + 5; d = f + 9; y = n + 16; e = f + 8; z = d + 13; f = 18; n = j + 17; j = s + 8; o = e + 7; s = o + 6; u = w + 20. If f = 18, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"x": "o + 2", "d": "x + 5", "v": "d + 4", "k": "v + 13", "r": "k + 2", "a": "r + 6", "c": "o + 9", "q": "c + 1", "n": "q + 14", "f": "n + 11", "p": "f + 15", "l": "p + 17", "o": 12}, "premises": {"o": 12}, "target": "a"}, "answer": {"steps": [["r", "k + 2", "k + 8"], ["k", "v + 13", "v + 21"], ["v", "d + 4", "d + 25"], ["d", "x + 5", "x + 30"], ["x", "o + 2", "o + 32"], ["o", 12, "44"]], "target_var_name": "a", "target_value": 44, "value_dict": {"o": 12}, "is_reverse": true}} | 10,332 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = r + 6; p = f + 15; c = o + 9; n = q + 14; o = 12; d = x + 5; x = o + 2; k = v + 13; q = c + 1; l = p + 17; r = k + 2; f = n + 11; v = d + 4. Given that o = 12, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 44,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = k + 2 to a, which gives a = k + 8.\n2. Substitute k = v + 13 to a, which gives a = v + 21.\n3. Substitute v = d + 4 to a, which gives a = d + 25.\n4. Substitute d = x + 5 to a, which gives a = x + 30.\n5. Substitute x = o + 2 to a, which gives a = o + 32.\n6. Substitute o = 12 to a, which gives a = 44.\n\nThus, the final answer is a = \\boxed{44}.",
"index": 10332,
"question": "Suppose a collection of variables is related by the following definitions: a = r + 6; p = f + 15; c = o + 9; n = q + 14; o = 12; d = x + 5; x = o + 2; k = v + 13; q = c + 1; l = p + 17; r = k + 2; f = n + 11; v = d + 4. Given that o = 12, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"f": "g + 10", "j": "f + 17", "r": "j + 12", "z": "r + 18", "p": "z + 6", "d": "p + 12", "s": "g + 5", "h": "s + 18", "m": "h + 2", "e": "m + 7", "q": "e + 8", "a": "q + 11", "g": 12}, "premises": {"g": 12}, "target": "d"}, "answer": {"steps": [["p", "z + 6", "z + 18"], ["z", "r + 18", "r + 36"], ["r", "j + 12", "j + 48"], ["j", "f + 17", "f + 65"], ["f", "g + 10", "g + 75"], ["g", 12, "87"]], "target_var_name": "d", "target_value": 87, "value_dict": {"g": 12}, "is_reverse": true}} | 10,333 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = f + 17; d = p + 12; p = z + 6; e = m + 7; r = j + 12; f = g + 10; s = g + 5; g = 12; z = r + 18; a = q + 11; q = e + 8; h = s + 18; m = h + 2. If g = 12, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = z + 6 to d, which gives d = z + 18.\n2. Substitute z = r + 18 to d, which gives d = r + 36.\n3. Substitute r = j + 12 to d, which gives d = j + 48.\n4. Substitute j = f + 17 to d, which gives d = f + 65.\n5. Substitute f = g + 10 to d, which gives d = g + 75.\n6. Substitute g = 12 to d, which gives d = 87.\n\nThus, the final answer is d = \\boxed{87}.",
"index": 10333,
"question": "Consider a system of variables where each variable is defined as follows: j = f + 17; d = p + 12; p = z + 6; e = m + 7; r = j + 12; f = g + 10; s = g + 5; g = 12; z = r + 18; a = q + 11; q = e + 8; h = s + 18; m = h + 2. If g = 12, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"q": "n + 9", "w": "q + 20", "y": "w + 20", "i": "y + 1", "r": "i + 17", "e": "r + 4", "j": "n + 12", "p": "j + 3", "o": "p + 6", "b": "o + 18", "h": "b + 9", "m": "h + 15", "n": 1}, "premises": {"n": 1}, "target": "e"}, "answer": {"steps": [["r", "i + 17", "i + 21"], ["i", "y + 1", "y + 22"], ["y", "w + 20", "w + 42"], ["w", "q + 20", "q + 62"], ["q", "n + 9", "n + 71"], ["n", 1, "72"]], "target_var_name": "e", "target_value": 72, "value_dict": {"n": 1}, "is_reverse": true}} | 10,334 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = j + 3; i = y + 1; h = b + 9; e = r + 4; n = 1; w = q + 20; b = o + 18; j = n + 12; y = w + 20; o = p + 6; q = n + 9; r = i + 17; m = h + 15. If n = 1, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = i + 17 to e, which gives e = i + 21.\n2. Substitute i = y + 1 to e, which gives e = y + 22.\n3. Substitute y = w + 20 to e, which gives e = w + 42.\n4. Substitute w = q + 20 to e, which gives e = q + 62.\n5. Substitute q = n + 9 to e, which gives e = n + 71.\n6. Substitute n = 1 to e, which gives e = 72.\n\nThus, the final answer is e = \\boxed{72}.",
"index": 10334,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = j + 3; i = y + 1; h = b + 9; e = r + 4; n = 1; w = q + 20; b = o + 18; j = n + 12; y = w + 20; o = p + 6; q = n + 9; r = i + 17; m = h + 15. If n = 1, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"j": "r + 18", "x": "j + 18", "s": "x + 15", "i": "s + 9", "t": "i + 2", "u": "t + 5", "z": "r + 8", "g": "z + 16", "a": "g + 7", "l": "a + 20", "f": "l + 19", "v": "f + 12", "r": 10}, "premises": {"r": 10}, "target": "u"}, "answer": {"steps": [["t", "i + 2", "i + 7"], ["i", "s + 9", "s + 16"], ["s", "x + 15", "x + 31"], ["x", "j + 18", "j + 49"], ["j", "r + 18", "r + 67"], ["r", 10, "77"]], "target_var_name": "u", "target_value": 77, "value_dict": {"r": 10}, "is_reverse": true}} | 10,335 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = r + 18; z = r + 8; g = z + 16; f = l + 19; s = x + 15; t = i + 2; i = s + 9; u = t + 5; l = a + 20; x = j + 18; r = 10; v = f + 12; a = g + 7. If r = 10, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = i + 2 to u, which gives u = i + 7.\n2. Substitute i = s + 9 to u, which gives u = s + 16.\n3. Substitute s = x + 15 to u, which gives u = x + 31.\n4. Substitute x = j + 18 to u, which gives u = j + 49.\n5. Substitute j = r + 18 to u, which gives u = r + 67.\n6. Substitute r = 10 to u, which gives u = 77.\n\nThus, the final answer is u = \\boxed{77}.",
"index": 10335,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = r + 18; z = r + 8; g = z + 16; f = l + 19; s = x + 15; t = i + 2; i = s + 9; u = t + 5; l = a + 20; x = j + 18; r = 10; v = f + 12; a = g + 7. If r = 10, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"j": "i + 4", "t": "j + 4", "f": "t + 7", "x": "f + 14", "b": "x + 6", "s": "b + 20", "g": "i + 11", "q": "g + 15", "u": "q + 7", "n": "u + 13", "w": "n + 12", "z": "w + 5", "i": 19}, "premises": {"i": 19}, "target": "s"}, "answer": {"steps": [["b", "x + 6", "x + 26"], ["x", "f + 14", "f + 40"], ["f", "t + 7", "t + 47"], ["t", "j + 4", "j + 51"], ["j", "i + 4", "i + 55"], ["i", 19, "74"]], "target_var_name": "s", "target_value": 74, "value_dict": {"i": 19}, "is_reverse": true}} | 10,336 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = n + 12; t = j + 4; n = u + 13; j = i + 4; z = w + 5; s = b + 20; i = 19; u = q + 7; x = f + 14; q = g + 15; f = t + 7; b = x + 6; g = i + 11. If i = 19, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = x + 6 to s, which gives s = x + 26.\n2. Substitute x = f + 14 to s, which gives s = f + 40.\n3. Substitute f = t + 7 to s, which gives s = t + 47.\n4. Substitute t = j + 4 to s, which gives s = j + 51.\n5. Substitute j = i + 4 to s, which gives s = i + 55.\n6. Substitute i = 19 to s, which gives s = 74.\n\nThus, the final answer is s = \\boxed{74}.",
"index": 10336,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = n + 12; t = j + 4; n = u + 13; j = i + 4; z = w + 5; s = b + 20; i = 19; u = q + 7; x = f + 14; q = g + 15; f = t + 7; b = x + 6; g = i + 11. If i = 19, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"p": "q + 3", "y": "p + 1", "m": "y + 8", "b": "m + 4", "o": "b + 15", "n": "o + 3", "c": "q + 9", "g": "c + 3", "a": "g + 10", "h": "a + 3", "d": "h + 9", "x": "d + 7", "q": 7}, "premises": {"q": 7}, "target": "n"}, "answer": {"steps": [["o", "b + 15", "b + 18"], ["b", "m + 4", "m + 22"], ["m", "y + 8", "y + 30"], ["y", "p + 1", "p + 31"], ["p", "q + 3", "q + 34"], ["q", 7, "41"]], "target_var_name": "n", "target_value": 41, "value_dict": {"q": 7}, "is_reverse": true}} | 10,337 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = h + 9; c = q + 9; p = q + 3; h = a + 3; x = d + 7; g = c + 3; b = m + 4; y = p + 1; o = b + 15; q = 7; a = g + 10; n = o + 3; m = y + 8. If q = 7, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 41,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = b + 15 to n, which gives n = b + 18.\n2. Substitute b = m + 4 to n, which gives n = m + 22.\n3. Substitute m = y + 8 to n, which gives n = y + 30.\n4. Substitute y = p + 1 to n, which gives n = p + 31.\n5. Substitute p = q + 3 to n, which gives n = q + 34.\n6. Substitute q = 7 to n, which gives n = 41.\n\nThus, the final answer is n = \\boxed{41}.",
"index": 10337,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = h + 9; c = q + 9; p = q + 3; h = a + 3; x = d + 7; g = c + 3; b = m + 4; y = p + 1; o = b + 15; q = 7; a = g + 10; n = o + 3; m = y + 8. If q = 7, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"q": "k + 13", "u": "q + 7", "p": "u + 9", "r": "p + 5", "c": "r + 8", "b": "c + 3", "l": "k + 6", "v": "l + 18", "w": "v + 17", "a": "w + 19", "z": "a + 12", "o": "z + 3", "k": 7}, "premises": {"k": 7}, "target": "b"}, "answer": {"steps": [["c", "r + 8", "r + 11"], ["r", "p + 5", "p + 16"], ["p", "u + 9", "u + 25"], ["u", "q + 7", "q + 32"], ["q", "k + 13", "k + 45"], ["k", 7, "52"]], "target_var_name": "b", "target_value": 52, "value_dict": {"k": 7}, "is_reverse": true}} | 10,338 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = 7; b = c + 3; a = w + 19; l = k + 6; q = k + 13; c = r + 8; o = z + 3; z = a + 12; w = v + 17; v = l + 18; p = u + 9; u = q + 7; r = p + 5. Given that k = 7, 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. Substitute c = r + 8 to b, which gives b = r + 11.\n2. Substitute r = p + 5 to b, which gives b = p + 16.\n3. Substitute p = u + 9 to b, which gives b = u + 25.\n4. Substitute u = q + 7 to b, which gives b = q + 32.\n5. Substitute q = k + 13 to b, which gives b = k + 45.\n6. Substitute k = 7 to b, which gives b = 52.\n\nThus, the final answer is b = \\boxed{52}.",
"index": 10338,
"question": "Suppose a collection of variables is related by the following definitions: k = 7; b = c + 3; a = w + 19; l = k + 6; q = k + 13; c = r + 8; o = z + 3; z = a + 12; w = v + 17; v = l + 18; p = u + 9; u = q + 7; r = p + 5. Given that k = 7, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"t": "n + 17", "m": "t + 11", "k": "m + 8", "h": "k + 15", "x": "h + 20", "w": "x + 12", "z": "n + 16", "u": "z + 20", "c": "u + 4", "r": "c + 10", "p": "r + 7", "i": "p + 16", "n": 1}, "premises": {"n": 1}, "target": "w"}, "answer": {"steps": [["x", "h + 20", "h + 32"], ["h", "k + 15", "k + 47"], ["k", "m + 8", "m + 55"], ["m", "t + 11", "t + 66"], ["t", "n + 17", "n + 83"], ["n", 1, "84"]], "target_var_name": "w", "target_value": 84, "value_dict": {"n": 1}, "is_reverse": true}} | 10,339 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = k + 15; c = u + 4; z = n + 16; k = m + 8; x = h + 20; u = z + 20; n = 1; r = c + 10; m = t + 11; t = n + 17; i = p + 16; p = r + 7; w = x + 12. If n = 1, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = h + 20 to w, which gives w = h + 32.\n2. Substitute h = k + 15 to w, which gives w = k + 47.\n3. Substitute k = m + 8 to w, which gives w = m + 55.\n4. Substitute m = t + 11 to w, which gives w = t + 66.\n5. Substitute t = n + 17 to w, which gives w = n + 83.\n6. Substitute n = 1 to w, which gives w = 84.\n\nThus, the final answer is w = \\boxed{84}.",
"index": 10339,
"question": "Consider a system of variables where each variable is defined as follows: h = k + 15; c = u + 4; z = n + 16; k = m + 8; x = h + 20; u = z + 20; n = 1; r = c + 10; m = t + 11; t = n + 17; i = p + 16; p = r + 7; w = x + 12. If n = 1, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"v": "z + 3", "f": "v + 9", "h": "f + 6", "u": "h + 2", "j": "u + 13", "y": "j + 17", "i": "z + 7", "n": "i + 7", "d": "n + 7", "m": "d + 7", "e": "m + 2", "l": "e + 15", "z": 11}, "premises": {"z": 11}, "target": "y"}, "answer": {"steps": [["j", "u + 13", "u + 30"], ["u", "h + 2", "h + 32"], ["h", "f + 6", "f + 38"], ["f", "v + 9", "v + 47"], ["v", "z + 3", "z + 50"], ["z", 11, "61"]], "target_var_name": "y", "target_value": 61, "value_dict": {"z": 11}, "is_reverse": true}} | 10,340 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = e + 15; i = z + 7; d = n + 7; n = i + 7; f = v + 9; v = z + 3; m = d + 7; h = f + 6; z = 11; j = u + 13; u = h + 2; e = m + 2; y = j + 17. If z = 11, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = u + 13 to y, which gives y = u + 30.\n2. Substitute u = h + 2 to y, which gives y = h + 32.\n3. Substitute h = f + 6 to y, which gives y = f + 38.\n4. Substitute f = v + 9 to y, which gives y = v + 47.\n5. Substitute v = z + 3 to y, which gives y = z + 50.\n6. Substitute z = 11 to y, which gives y = 61.\n\nThus, the final answer is y = \\boxed{61}.",
"index": 10340,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = e + 15; i = z + 7; d = n + 7; n = i + 7; f = v + 9; v = z + 3; m = d + 7; h = f + 6; z = 11; j = u + 13; u = h + 2; e = m + 2; y = j + 17. If z = 11, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"z": "o + 13", "g": "z + 16", "s": "g + 13", "a": "s + 18", "i": "a + 5", "c": "i + 9", "t": "o + 11", "h": "t + 9", "n": "h + 8", "q": "n + 3", "y": "q + 15", "r": "y + 4", "o": 10}, "premises": {"o": 10}, "target": "c"}, "answer": {"steps": [["i", "a + 5", "a + 14"], ["a", "s + 18", "s + 32"], ["s", "g + 13", "g + 45"], ["g", "z + 16", "z + 61"], ["z", "o + 13", "o + 74"], ["o", 10, "84"]], "target_var_name": "c", "target_value": 84, "value_dict": {"o": 10}, "is_reverse": true}} | 10,341 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = o + 13; s = g + 13; o = 10; n = h + 8; h = t + 9; a = s + 18; t = o + 11; r = y + 4; c = i + 9; g = z + 16; i = a + 5; y = q + 15; q = n + 3. If o = 10, 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. Substitute i = a + 5 to c, which gives c = a + 14.\n2. Substitute a = s + 18 to c, which gives c = s + 32.\n3. Substitute s = g + 13 to c, which gives c = g + 45.\n4. Substitute g = z + 16 to c, which gives c = z + 61.\n5. Substitute z = o + 13 to c, which gives c = o + 74.\n6. Substitute o = 10 to c, which gives c = 84.\n\nThus, the final answer is c = \\boxed{84}.",
"index": 10341,
"question": "Consider a system of variables where each variable is defined as follows: z = o + 13; s = g + 13; o = 10; n = h + 8; h = t + 9; a = s + 18; t = o + 11; r = y + 4; c = i + 9; g = z + 16; i = a + 5; y = q + 15; q = n + 3. If o = 10, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"e": "t + 10", "x": "e + 15", "l": "x + 20", "f": "l + 12", "u": "f + 3", "g": "u + 7", "s": "t + 16", "j": "s + 11", "m": "j + 13", "h": "m + 1", "a": "h + 3", "q": "a + 7", "t": 14}, "premises": {"t": 14}, "target": "g"}, "answer": {"steps": [["u", "f + 3", "f + 10"], ["f", "l + 12", "l + 22"], ["l", "x + 20", "x + 42"], ["x", "e + 15", "e + 57"], ["e", "t + 10", "t + 67"], ["t", 14, "81"]], "target_var_name": "g", "target_value": 81, "value_dict": {"t": 14}, "is_reverse": true}} | 10,342 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = f + 3; h = m + 1; s = t + 16; f = l + 12; j = s + 11; e = t + 10; g = u + 7; x = e + 15; l = x + 20; t = 14; q = a + 7; a = h + 3; m = j + 13. If t = 14, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = f + 3 to g, which gives g = f + 10.\n2. Substitute f = l + 12 to g, which gives g = l + 22.\n3. Substitute l = x + 20 to g, which gives g = x + 42.\n4. Substitute x = e + 15 to g, which gives g = e + 57.\n5. Substitute e = t + 10 to g, which gives g = t + 67.\n6. Substitute t = 14 to g, which gives g = 81.\n\nThus, the final answer is g = \\boxed{81}.",
"index": 10342,
"question": "Consider a system of variables where each variable is defined as follows: u = f + 3; h = m + 1; s = t + 16; f = l + 12; j = s + 11; e = t + 10; g = u + 7; x = e + 15; l = x + 20; t = 14; q = a + 7; a = h + 3; m = j + 13. If t = 14, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"h": "i + 7", "o": "h + 17", "a": "o + 11", "n": "a + 12", "k": "n + 14", "f": "k + 6", "c": "i + 17", "p": "c + 16", "t": "p + 19", "x": "t + 14", "z": "x + 6", "b": "z + 16", "i": 7}, "premises": {"i": 7}, "target": "f"}, "answer": {"steps": [["k", "n + 14", "n + 20"], ["n", "a + 12", "a + 32"], ["a", "o + 11", "o + 43"], ["o", "h + 17", "h + 60"], ["h", "i + 7", "i + 67"], ["i", 7, "74"]], "target_var_name": "f", "target_value": 74, "value_dict": {"i": 7}, "is_reverse": true}} | 10,343 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = c + 16; a = o + 11; n = a + 12; k = n + 14; h = i + 7; z = x + 6; x = t + 14; c = i + 17; i = 7; t = p + 19; o = h + 17; b = z + 16; f = k + 6. If i = 7, what is the resulting 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 k = n + 14 to f, which gives f = n + 20.\n2. Substitute n = a + 12 to f, which gives f = a + 32.\n3. Substitute a = o + 11 to f, which gives f = o + 43.\n4. Substitute o = h + 17 to f, which gives f = h + 60.\n5. Substitute h = i + 7 to f, which gives f = i + 67.\n6. Substitute i = 7 to f, which gives f = 74.\n\nThus, the final answer is f = \\boxed{74}.",
"index": 10343,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = c + 16; a = o + 11; n = a + 12; k = n + 14; h = i + 7; z = x + 6; x = t + 14; c = i + 17; i = 7; t = p + 19; o = h + 17; b = z + 16; f = k + 6. If i = 7, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"d": "v + 10", "n": "d + 5", "r": "n + 15", "x": "r + 17", "i": "x + 1", "z": "i + 4", "c": "v + 3", "y": "c + 16", "w": "y + 13", "m": "w + 19", "a": "m + 18", "u": "a + 10", "v": 9}, "premises": {"v": 9}, "target": "z"}, "answer": {"steps": [["i", "x + 1", "x + 5"], ["x", "r + 17", "r + 22"], ["r", "n + 15", "n + 37"], ["n", "d + 5", "d + 42"], ["d", "v + 10", "v + 52"], ["v", 9, "61"]], "target_var_name": "z", "target_value": 61, "value_dict": {"v": 9}, "is_reverse": true}} | 10,344 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = a + 10; w = y + 13; v = 9; z = i + 4; d = v + 10; c = v + 3; a = m + 18; y = c + 16; x = r + 17; r = n + 15; n = d + 5; m = w + 19; i = x + 1. Given that v = 9, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = x + 1 to z, which gives z = x + 5.\n2. Substitute x = r + 17 to z, which gives z = r + 22.\n3. Substitute r = n + 15 to z, which gives z = n + 37.\n4. Substitute n = d + 5 to z, which gives z = d + 42.\n5. Substitute d = v + 10 to z, which gives z = v + 52.\n6. Substitute v = 9 to z, which gives z = 61.\n\nThus, the final answer is z = \\boxed{61}.",
"index": 10344,
"question": "Suppose a collection of variables is related by the following definitions: u = a + 10; w = y + 13; v = 9; z = i + 4; d = v + 10; c = v + 3; a = m + 18; y = c + 16; x = r + 17; r = n + 15; n = d + 5; m = w + 19; i = x + 1. Given that v = 9, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"z": "i + 10", "j": "z + 4", "e": "j + 15", "b": "e + 8", "n": "b + 5", "s": "n + 5", "g": "i + 12", "a": "g + 14", "k": "a + 15", "m": "k + 18", "p": "m + 18", "v": "p + 18", "i": 19}, "premises": {"i": 19}, "target": "s"}, "answer": {"steps": [["n", "b + 5", "b + 10"], ["b", "e + 8", "e + 18"], ["e", "j + 15", "j + 33"], ["j", "z + 4", "z + 37"], ["z", "i + 10", "i + 47"], ["i", 19, "66"]], "target_var_name": "s", "target_value": 66, "value_dict": {"i": 19}, "is_reverse": true}} | 10,345 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = n + 5; g = i + 12; j = z + 4; i = 19; z = i + 10; k = a + 15; e = j + 15; p = m + 18; a = g + 14; v = p + 18; m = k + 18; b = e + 8; n = b + 5. If i = 19, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = b + 5 to s, which gives s = b + 10.\n2. Substitute b = e + 8 to s, which gives s = e + 18.\n3. Substitute e = j + 15 to s, which gives s = j + 33.\n4. Substitute j = z + 4 to s, which gives s = z + 37.\n5. Substitute z = i + 10 to s, which gives s = i + 47.\n6. Substitute i = 19 to s, which gives s = 66.\n\nThus, the final answer is s = \\boxed{66}.",
"index": 10345,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = n + 5; g = i + 12; j = z + 4; i = 19; z = i + 10; k = a + 15; e = j + 15; p = m + 18; a = g + 14; v = p + 18; m = k + 18; b = e + 8; n = b + 5. If i = 19, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"b": "r + 15", "t": "b + 12", "n": "t + 9", "x": "n + 20", "y": "x + 15", "p": "y + 8", "h": "r + 16", "o": "h + 17", "j": "o + 12", "q": "j + 20", "z": "q + 18", "i": "z + 3", "r": 2}, "premises": {"r": 2}, "target": "p"}, "answer": {"steps": [["y", "x + 15", "x + 23"], ["x", "n + 20", "n + 43"], ["n", "t + 9", "t + 52"], ["t", "b + 12", "b + 64"], ["b", "r + 15", "r + 79"], ["r", 2, "81"]], "target_var_name": "p", "target_value": 81, "value_dict": {"r": 2}, "is_reverse": true}} | 10,346 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = b + 12; b = r + 15; n = t + 9; q = j + 20; i = z + 3; p = y + 8; x = n + 20; j = o + 12; r = 2; h = r + 16; o = h + 17; z = q + 18; y = x + 15. Given that r = 2, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = x + 15 to p, which gives p = x + 23.\n2. Substitute x = n + 20 to p, which gives p = n + 43.\n3. Substitute n = t + 9 to p, which gives p = t + 52.\n4. Substitute t = b + 12 to p, which gives p = b + 64.\n5. Substitute b = r + 15 to p, which gives p = r + 79.\n6. Substitute r = 2 to p, which gives p = 81.\n\nThus, the final answer is p = \\boxed{81}.",
"index": 10346,
"question": "Suppose a collection of variables is related by the following definitions: t = b + 12; b = r + 15; n = t + 9; q = j + 20; i = z + 3; p = y + 8; x = n + 20; j = o + 12; r = 2; h = r + 16; o = h + 17; z = q + 18; y = x + 15. Given that r = 2, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"f": "n + 1", "h": "f + 17", "l": "h + 3", "y": "l + 16", "d": "y + 13", "p": "d + 3", "b": "n + 17", "z": "b + 1", "r": "z + 2", "j": "r + 9", "u": "j + 10", "i": "u + 5", "n": 18}, "premises": {"n": 18}, "target": "p"}, "answer": {"steps": [["d", "y + 13", "y + 16"], ["y", "l + 16", "l + 32"], ["l", "h + 3", "h + 35"], ["h", "f + 17", "f + 52"], ["f", "n + 1", "n + 53"], ["n", 18, "71"]], "target_var_name": "p", "target_value": 71, "value_dict": {"n": 18}, "is_reverse": true}} | 10,347 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = b + 1; u = j + 10; n = 18; f = n + 1; y = l + 16; r = z + 2; l = h + 3; h = f + 17; d = y + 13; p = d + 3; j = r + 9; i = u + 5; b = n + 17. Given that n = 18, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = y + 13 to p, which gives p = y + 16.\n2. Substitute y = l + 16 to p, which gives p = l + 32.\n3. Substitute l = h + 3 to p, which gives p = h + 35.\n4. Substitute h = f + 17 to p, which gives p = f + 52.\n5. Substitute f = n + 1 to p, which gives p = n + 53.\n6. Substitute n = 18 to p, which gives p = 71.\n\nThus, the final answer is p = \\boxed{71}.",
"index": 10347,
"question": "Suppose a collection of variables is related by the following definitions: z = b + 1; u = j + 10; n = 18; f = n + 1; y = l + 16; r = z + 2; l = h + 3; h = f + 17; d = y + 13; p = d + 3; j = r + 9; i = u + 5; b = n + 17. Given that n = 18, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"w": "p + 6", "o": "w + 20", "l": "o + 3", "d": "l + 12", "f": "d + 13", "s": "f + 5", "j": "p + 20", "q": "j + 2", "a": "q + 7", "c": "a + 7", "b": "c + 11", "n": "b + 1", "p": 13}, "premises": {"p": 13}, "target": "s"}, "answer": {"steps": [["f", "d + 13", "d + 18"], ["d", "l + 12", "l + 30"], ["l", "o + 3", "o + 33"], ["o", "w + 20", "w + 53"], ["w", "p + 6", "p + 59"], ["p", 13, "72"]], "target_var_name": "s", "target_value": 72, "value_dict": {"p": 13}, "is_reverse": true}} | 10,348 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = d + 13; s = f + 5; l = o + 3; a = q + 7; c = a + 7; p = 13; q = j + 2; n = b + 1; b = c + 11; o = w + 20; d = l + 12; w = p + 6; j = p + 20. If p = 13, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = d + 13 to s, which gives s = d + 18.\n2. Substitute d = l + 12 to s, which gives s = l + 30.\n3. Substitute l = o + 3 to s, which gives s = o + 33.\n4. Substitute o = w + 20 to s, which gives s = w + 53.\n5. Substitute w = p + 6 to s, which gives s = p + 59.\n6. Substitute p = 13 to s, which gives s = 72.\n\nThus, the final answer is s = \\boxed{72}.",
"index": 10348,
"question": "Consider a system of variables where each variable is defined as follows: f = d + 13; s = f + 5; l = o + 3; a = q + 7; c = a + 7; p = 13; q = j + 2; n = b + 1; b = c + 11; o = w + 20; d = l + 12; w = p + 6; j = p + 20. If p = 13, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"b": "f + 8", "q": "b + 4", "m": "q + 7", "l": "m + 9", "s": "l + 5", "g": "s + 12", "x": "f + 6", "r": "x + 19", "k": "r + 12", "v": "k + 3", "c": "v + 13", "i": "c + 19", "f": 10}, "premises": {"f": 10}, "target": "g"}, "answer": {"steps": [["s", "l + 5", "l + 17"], ["l", "m + 9", "m + 26"], ["m", "q + 7", "q + 33"], ["q", "b + 4", "b + 37"], ["b", "f + 8", "f + 45"], ["f", 10, "55"]], "target_var_name": "g", "target_value": 55, "value_dict": {"f": 10}, "is_reverse": true}} | 10,349 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = m + 9; v = k + 3; r = x + 19; m = q + 7; x = f + 6; s = l + 5; c = v + 13; k = r + 12; g = s + 12; i = c + 19; b = f + 8; q = b + 4; f = 10. If f = 10, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = l + 5 to g, which gives g = l + 17.\n2. Substitute l = m + 9 to g, which gives g = m + 26.\n3. Substitute m = q + 7 to g, which gives g = q + 33.\n4. Substitute q = b + 4 to g, which gives g = b + 37.\n5. Substitute b = f + 8 to g, which gives g = f + 45.\n6. Substitute f = 10 to g, which gives g = 55.\n\nThus, the final answer is g = \\boxed{55}.",
"index": 10349,
"question": "Consider a system of variables where each variable is defined as follows: l = m + 9; v = k + 3; r = x + 19; m = q + 7; x = f + 6; s = l + 5; c = v + 13; k = r + 12; g = s + 12; i = c + 19; b = f + 8; q = b + 4; f = 10. If f = 10, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"q": "m + 15", "w": "q + 11", "k": "w + 11", "h": "k + 10", "f": "h + 6", "u": "f + 12", "b": "m + 11", "a": "b + 5", "j": "a + 14", "i": "j + 13", "y": "i + 16", "l": "y + 1", "m": 9}, "premises": {"m": 9}, "target": "u"}, "answer": {"steps": [["f", "h + 6", "h + 18"], ["h", "k + 10", "k + 28"], ["k", "w + 11", "w + 39"], ["w", "q + 11", "q + 50"], ["q", "m + 15", "m + 65"], ["m", 9, "74"]], "target_var_name": "u", "target_value": 74, "value_dict": {"m": 9}, "is_reverse": true}} | 10,350 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = a + 14; k = w + 11; f = h + 6; l = y + 1; y = i + 16; b = m + 11; w = q + 11; i = j + 13; u = f + 12; h = k + 10; q = m + 15; a = b + 5; m = 9. If m = 9, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = h + 6 to u, which gives u = h + 18.\n2. Substitute h = k + 10 to u, which gives u = k + 28.\n3. Substitute k = w + 11 to u, which gives u = w + 39.\n4. Substitute w = q + 11 to u, which gives u = q + 50.\n5. Substitute q = m + 15 to u, which gives u = m + 65.\n6. Substitute m = 9 to u, which gives u = 74.\n\nThus, the final answer is u = \\boxed{74}.",
"index": 10350,
"question": "Consider a system of variables where each variable is defined as follows: j = a + 14; k = w + 11; f = h + 6; l = y + 1; y = i + 16; b = m + 11; w = q + 11; i = j + 13; u = f + 12; h = k + 10; q = m + 15; a = b + 5; m = 9. If m = 9, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"m": "i + 20", "n": "m + 17", "r": "n + 7", "j": "r + 16", "u": "j + 9", "k": "u + 11", "w": "i + 15", "t": "w + 4", "q": "t + 4", "d": "q + 20", "z": "d + 13", "l": "z + 3", "i": 6}, "premises": {"i": 6}, "target": "k"}, "answer": {"steps": [["u", "j + 9", "j + 20"], ["j", "r + 16", "r + 36"], ["r", "n + 7", "n + 43"], ["n", "m + 17", "m + 60"], ["m", "i + 20", "i + 80"], ["i", 6, "86"]], "target_var_name": "k", "target_value": 86, "value_dict": {"i": 6}, "is_reverse": true}} | 10,351 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = i + 15; r = n + 7; n = m + 17; z = d + 13; j = r + 16; t = w + 4; l = z + 3; i = 6; k = u + 11; m = i + 20; u = j + 9; d = q + 20; q = t + 4. Given that i = 6, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = j + 9 to k, which gives k = j + 20.\n2. Substitute j = r + 16 to k, which gives k = r + 36.\n3. Substitute r = n + 7 to k, which gives k = n + 43.\n4. Substitute n = m + 17 to k, which gives k = m + 60.\n5. Substitute m = i + 20 to k, which gives k = i + 80.\n6. Substitute i = 6 to k, which gives k = 86.\n\nThus, the final answer is k = \\boxed{86}.",
"index": 10351,
"question": "Suppose a collection of variables is related by the following definitions: w = i + 15; r = n + 7; n = m + 17; z = d + 13; j = r + 16; t = w + 4; l = z + 3; i = 6; k = u + 11; m = i + 20; u = j + 9; d = q + 20; q = t + 4. Given that i = 6, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"i": "o + 20", "c": "i + 18", "b": "c + 9", "j": "b + 14", "p": "j + 20", "m": "p + 11", "r": "o + 1", "a": "r + 9", "h": "a + 4", "x": "h + 2", "e": "x + 3", "k": "e + 6", "o": 14}, "premises": {"o": 14}, "target": "m"}, "answer": {"steps": [["p", "j + 20", "j + 31"], ["j", "b + 14", "b + 45"], ["b", "c + 9", "c + 54"], ["c", "i + 18", "i + 72"], ["i", "o + 20", "o + 92"], ["o", 14, "106"]], "target_var_name": "m", "target_value": 106, "value_dict": {"o": 14}, "is_reverse": true}} | 10,352 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = a + 4; j = b + 14; b = c + 9; i = o + 20; c = i + 18; a = r + 9; m = p + 11; x = h + 2; o = 14; p = j + 20; e = x + 3; r = o + 1; k = e + 6. Given that o = 14, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 106,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = j + 20 to m, which gives m = j + 31.\n2. Substitute j = b + 14 to m, which gives m = b + 45.\n3. Substitute b = c + 9 to m, which gives m = c + 54.\n4. Substitute c = i + 18 to m, which gives m = i + 72.\n5. Substitute i = o + 20 to m, which gives m = o + 92.\n6. Substitute o = 14 to m, which gives m = 106.\n\nThus, the final answer is m = \\boxed{106}.",
"index": 10352,
"question": "Suppose a collection of variables is related by the following definitions: h = a + 4; j = b + 14; b = c + 9; i = o + 20; c = i + 18; a = r + 9; m = p + 11; x = h + 2; o = 14; p = j + 20; e = x + 3; r = o + 1; k = e + 6. Given that o = 14, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"g": "e + 9", "k": "g + 6", "i": "k + 20", "w": "i + 19", "x": "w + 3", "m": "x + 15", "a": "e + 9", "t": "a + 10", "c": "t + 3", "o": "c + 9", "v": "o + 18", "u": "v + 6", "e": 10}, "premises": {"e": 10}, "target": "m"}, "answer": {"steps": [["x", "w + 3", "w + 18"], ["w", "i + 19", "i + 37"], ["i", "k + 20", "k + 57"], ["k", "g + 6", "g + 63"], ["g", "e + 9", "e + 72"], ["e", 10, "82"]], "target_var_name": "m", "target_value": 82, "value_dict": {"e": 10}, "is_reverse": true}} | 10,353 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = 10; m = x + 15; a = e + 9; c = t + 3; v = o + 18; u = v + 6; x = w + 3; w = i + 19; t = a + 10; g = e + 9; o = c + 9; k = g + 6; i = k + 20. Given that e = 10, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = w + 3 to m, which gives m = w + 18.\n2. Substitute w = i + 19 to m, which gives m = i + 37.\n3. Substitute i = k + 20 to m, which gives m = k + 57.\n4. Substitute k = g + 6 to m, which gives m = g + 63.\n5. Substitute g = e + 9 to m, which gives m = e + 72.\n6. Substitute e = 10 to m, which gives m = 82.\n\nThus, the final answer is m = \\boxed{82}.",
"index": 10353,
"question": "Suppose a collection of variables is related by the following definitions: e = 10; m = x + 15; a = e + 9; c = t + 3; v = o + 18; u = v + 6; x = w + 3; w = i + 19; t = a + 10; g = e + 9; o = c + 9; k = g + 6; i = k + 20. Given that e = 10, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"d": "q + 13", "p": "d + 14", "g": "p + 13", "c": "g + 12", "u": "c + 14", "j": "u + 14", "m": "q + 2", "z": "m + 15", "a": "z + 2", "t": "a + 11", "r": "t + 3", "b": "r + 2", "q": 15}, "premises": {"q": 15}, "target": "j"}, "answer": {"steps": [["u", "c + 14", "c + 28"], ["c", "g + 12", "g + 40"], ["g", "p + 13", "p + 53"], ["p", "d + 14", "d + 67"], ["d", "q + 13", "q + 80"], ["q", 15, "95"]], "target_var_name": "j", "target_value": 95, "value_dict": {"q": 15}, "is_reverse": true}} | 10,354 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = g + 12; t = a + 11; q = 15; z = m + 15; d = q + 13; r = t + 3; j = u + 14; a = z + 2; b = r + 2; m = q + 2; u = c + 14; g = p + 13; p = d + 14. If q = 15, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = c + 14 to j, which gives j = c + 28.\n2. Substitute c = g + 12 to j, which gives j = g + 40.\n3. Substitute g = p + 13 to j, which gives j = p + 53.\n4. Substitute p = d + 14 to j, which gives j = d + 67.\n5. Substitute d = q + 13 to j, which gives j = q + 80.\n6. Substitute q = 15 to j, which gives j = 95.\n\nThus, the final answer is j = \\boxed{95}.",
"index": 10354,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = g + 12; t = a + 11; q = 15; z = m + 15; d = q + 13; r = t + 3; j = u + 14; a = z + 2; b = r + 2; m = q + 2; u = c + 14; g = p + 13; p = d + 14. If q = 15, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"x": "d + 9", "f": "x + 9", "z": "f + 16", "m": "z + 10", "k": "m + 15", "g": "k + 20", "o": "d + 18", "q": "o + 13", "t": "q + 3", "s": "t + 12", "l": "s + 8", "j": "l + 6", "d": 15}, "premises": {"d": 15}, "target": "g"}, "answer": {"steps": [["k", "m + 15", "m + 35"], ["m", "z + 10", "z + 45"], ["z", "f + 16", "f + 61"], ["f", "x + 9", "x + 70"], ["x", "d + 9", "d + 79"], ["d", 15, "94"]], "target_var_name": "g", "target_value": 94, "value_dict": {"d": 15}, "is_reverse": true}} | 10,355 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = t + 12; d = 15; o = d + 18; q = o + 13; m = z + 10; x = d + 9; l = s + 8; f = x + 9; t = q + 3; g = k + 20; j = l + 6; z = f + 16; k = m + 15. If d = 15, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = m + 15 to g, which gives g = m + 35.\n2. Substitute m = z + 10 to g, which gives g = z + 45.\n3. Substitute z = f + 16 to g, which gives g = f + 61.\n4. Substitute f = x + 9 to g, which gives g = x + 70.\n5. Substitute x = d + 9 to g, which gives g = d + 79.\n6. Substitute d = 15 to g, which gives g = 94.\n\nThus, the final answer is g = \\boxed{94}.",
"index": 10355,
"question": "Consider a system of variables where each variable is defined as follows: s = t + 12; d = 15; o = d + 18; q = o + 13; m = z + 10; x = d + 9; l = s + 8; f = x + 9; t = q + 3; g = k + 20; j = l + 6; z = f + 16; k = m + 15. If d = 15, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"m": "y + 7", "w": "m + 14", "x": "w + 9", "c": "x + 1", "u": "c + 5", "k": "u + 10", "h": "y + 16", "i": "h + 20", "z": "i + 15", "g": "z + 8", "f": "g + 10", "d": "f + 2", "y": 6}, "premises": {"y": 6}, "target": "k"}, "answer": {"steps": [["u", "c + 5", "c + 15"], ["c", "x + 1", "x + 16"], ["x", "w + 9", "w + 25"], ["w", "m + 14", "m + 39"], ["m", "y + 7", "y + 46"], ["y", 6, "52"]], "target_var_name": "k", "target_value": 52, "value_dict": {"y": 6}, "is_reverse": true}} | 10,356 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = y + 16; g = z + 8; u = c + 5; k = u + 10; f = g + 10; w = m + 14; z = i + 15; y = 6; x = w + 9; i = h + 20; c = x + 1; m = y + 7; d = f + 2. If y = 6, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = c + 5 to k, which gives k = c + 15.\n2. Substitute c = x + 1 to k, which gives k = x + 16.\n3. Substitute x = w + 9 to k, which gives k = w + 25.\n4. Substitute w = m + 14 to k, which gives k = m + 39.\n5. Substitute m = y + 7 to k, which gives k = y + 46.\n6. Substitute y = 6 to k, which gives k = 52.\n\nThus, the final answer is k = \\boxed{52}.",
"index": 10356,
"question": "Consider a system of variables where each variable is defined as follows: h = y + 16; g = z + 8; u = c + 5; k = u + 10; f = g + 10; w = m + 14; z = i + 15; y = 6; x = w + 9; i = h + 20; c = x + 1; m = y + 7; d = f + 2. If y = 6, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"p": "e + 7", "w": "p + 16", "q": "w + 19", "c": "q + 1", "l": "c + 9", "y": "l + 6", "k": "e + 4", "b": "k + 6", "t": "b + 2", "u": "t + 4", "h": "u + 19", "z": "h + 13", "e": 11}, "premises": {"e": 11}, "target": "y"}, "answer": {"steps": [["l", "c + 9", "c + 15"], ["c", "q + 1", "q + 16"], ["q", "w + 19", "w + 35"], ["w", "p + 16", "p + 51"], ["p", "e + 7", "e + 58"], ["e", 11, "69"]], "target_var_name": "y", "target_value": 69, "value_dict": {"e": 11}, "is_reverse": true}} | 10,357 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = e + 7; e = 11; l = c + 9; c = q + 1; k = e + 4; y = l + 6; h = u + 19; w = p + 16; u = t + 4; b = k + 6; z = h + 13; q = w + 19; t = b + 2. If e = 11, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = c + 9 to y, which gives y = c + 15.\n2. Substitute c = q + 1 to y, which gives y = q + 16.\n3. Substitute q = w + 19 to y, which gives y = w + 35.\n4. Substitute w = p + 16 to y, which gives y = p + 51.\n5. Substitute p = e + 7 to y, which gives y = e + 58.\n6. Substitute e = 11 to y, which gives y = 69.\n\nThus, the final answer is y = \\boxed{69}.",
"index": 10357,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = e + 7; e = 11; l = c + 9; c = q + 1; k = e + 4; y = l + 6; h = u + 19; w = p + 16; u = t + 4; b = k + 6; z = h + 13; q = w + 19; t = b + 2. If e = 11, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"k": "t + 16", "d": "k + 5", "o": "d + 10", "q": "o + 17", "n": "q + 5", "m": "n + 4", "c": "t + 5", "z": "c + 2", "h": "z + 16", "x": "h + 10", "l": "x + 12", "s": "l + 15", "t": 12}, "premises": {"t": 12}, "target": "m"}, "answer": {"steps": [["n", "q + 5", "q + 9"], ["q", "o + 17", "o + 26"], ["o", "d + 10", "d + 36"], ["d", "k + 5", "k + 41"], ["k", "t + 16", "t + 57"], ["t", 12, "69"]], "target_var_name": "m", "target_value": 69, "value_dict": {"t": 12}, "is_reverse": true}} | 10,358 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = x + 12; m = n + 4; c = t + 5; z = c + 2; d = k + 5; q = o + 17; s = l + 15; o = d + 10; t = 12; k = t + 16; h = z + 16; n = q + 5; x = h + 10. If t = 12, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = q + 5 to m, which gives m = q + 9.\n2. Substitute q = o + 17 to m, which gives m = o + 26.\n3. Substitute o = d + 10 to m, which gives m = d + 36.\n4. Substitute d = k + 5 to m, which gives m = k + 41.\n5. Substitute k = t + 16 to m, which gives m = t + 57.\n6. Substitute t = 12 to m, which gives m = 69.\n\nThus, the final answer is m = \\boxed{69}.",
"index": 10358,
"question": "Consider a system of variables where each variable is defined as follows: l = x + 12; m = n + 4; c = t + 5; z = c + 2; d = k + 5; q = o + 17; s = l + 15; o = d + 10; t = 12; k = t + 16; h = z + 16; n = q + 5; x = h + 10. If t = 12, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"v": "a + 9", "w": "v + 18", "r": "w + 8", "k": "r + 17", "p": "k + 14", "i": "p + 15", "l": "a + 10", "e": "l + 1", "f": "e + 12", "o": "f + 19", "t": "o + 19", "c": "t + 2", "a": 9}, "premises": {"a": 9}, "target": "i"}, "answer": {"steps": [["p", "k + 14", "k + 29"], ["k", "r + 17", "r + 46"], ["r", "w + 8", "w + 54"], ["w", "v + 18", "v + 72"], ["v", "a + 9", "a + 81"], ["a", 9, "90"]], "target_var_name": "i", "target_value": 90, "value_dict": {"a": 9}, "is_reverse": true}} | 10,359 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = l + 1; f = e + 12; p = k + 14; r = w + 8; o = f + 19; w = v + 18; a = 9; k = r + 17; l = a + 10; i = p + 15; c = t + 2; t = o + 19; v = a + 9. If a = 9, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = k + 14 to i, which gives i = k + 29.\n2. Substitute k = r + 17 to i, which gives i = r + 46.\n3. Substitute r = w + 8 to i, which gives i = w + 54.\n4. Substitute w = v + 18 to i, which gives i = v + 72.\n5. Substitute v = a + 9 to i, which gives i = a + 81.\n6. Substitute a = 9 to i, which gives i = 90.\n\nThus, the final answer is i = \\boxed{90}.",
"index": 10359,
"question": "Consider a system of variables where each variable is defined as follows: e = l + 1; f = e + 12; p = k + 14; r = w + 8; o = f + 19; w = v + 18; a = 9; k = r + 17; l = a + 10; i = p + 15; c = t + 2; t = o + 19; v = a + 9. If a = 9, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"b": "n + 15", "x": "b + 4", "h": "x + 4", "d": "h + 6", "z": "d + 20", "v": "z + 11", "c": "n + 15", "t": "c + 10", "s": "t + 17", "j": "s + 12", "u": "j + 8", "m": "u + 16", "n": 8}, "premises": {"n": 8}, "target": "v"}, "answer": {"steps": [["z", "d + 20", "d + 31"], ["d", "h + 6", "h + 37"], ["h", "x + 4", "x + 41"], ["x", "b + 4", "b + 45"], ["b", "n + 15", "n + 60"], ["n", 8, "68"]], "target_var_name": "v", "target_value": 68, "value_dict": {"n": 8}, "is_reverse": true}} | 10,360 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = n + 15; n = 8; t = c + 10; d = h + 6; c = n + 15; m = u + 16; u = j + 8; h = x + 4; j = s + 12; s = t + 17; x = b + 4; z = d + 20; v = z + 11. Given that n = 8, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = d + 20 to v, which gives v = d + 31.\n2. Substitute d = h + 6 to v, which gives v = h + 37.\n3. Substitute h = x + 4 to v, which gives v = x + 41.\n4. Substitute x = b + 4 to v, which gives v = b + 45.\n5. Substitute b = n + 15 to v, which gives v = n + 60.\n6. Substitute n = 8 to v, which gives v = 68.\n\nThus, the final answer is v = \\boxed{68}.",
"index": 10360,
"question": "Suppose a collection of variables is related by the following definitions: b = n + 15; n = 8; t = c + 10; d = h + 6; c = n + 15; m = u + 16; u = j + 8; h = x + 4; j = s + 12; s = t + 17; x = b + 4; z = d + 20; v = z + 11. Given that n = 8, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"v": "i + 15", "m": "v + 16", "y": "m + 11", "e": "y + 16", "w": "e + 14", "s": "w + 20", "l": "i + 10", "u": "l + 2", "t": "u + 20", "n": "t + 19", "c": "n + 8", "o": "c + 18", "i": 18}, "premises": {"i": 18}, "target": "s"}, "answer": {"steps": [["w", "e + 14", "e + 34"], ["e", "y + 16", "y + 50"], ["y", "m + 11", "m + 61"], ["m", "v + 16", "v + 77"], ["v", "i + 15", "i + 92"], ["i", 18, "110"]], "target_var_name": "s", "target_value": 110, "value_dict": {"i": 18}, "is_reverse": true}} | 10,361 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = e + 14; u = l + 2; t = u + 20; m = v + 16; y = m + 11; n = t + 19; l = i + 10; e = y + 16; c = n + 8; i = 18; o = c + 18; v = i + 15; s = w + 20. If i = 18, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 110,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = e + 14 to s, which gives s = e + 34.\n2. Substitute e = y + 16 to s, which gives s = y + 50.\n3. Substitute y = m + 11 to s, which gives s = m + 61.\n4. Substitute m = v + 16 to s, which gives s = v + 77.\n5. Substitute v = i + 15 to s, which gives s = i + 92.\n6. Substitute i = 18 to s, which gives s = 110.\n\nThus, the final answer is s = \\boxed{110}.",
"index": 10361,
"question": "Consider a system of variables where each variable is defined as follows: w = e + 14; u = l + 2; t = u + 20; m = v + 16; y = m + 11; n = t + 19; l = i + 10; e = y + 16; c = n + 8; i = 18; o = c + 18; v = i + 15; s = w + 20. If i = 18, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"d": "p + 4", "r": "d + 15", "a": "r + 2", "m": "a + 17", "o": "m + 11", "g": "o + 14", "j": "p + 15", "w": "j + 10", "l": "w + 19", "i": "l + 10", "n": "i + 10", "t": "n + 14", "p": 14}, "premises": {"p": 14}, "target": "g"}, "answer": {"steps": [["o", "m + 11", "m + 25"], ["m", "a + 17", "a + 42"], ["a", "r + 2", "r + 44"], ["r", "d + 15", "d + 59"], ["d", "p + 4", "p + 63"], ["p", 14, "77"]], "target_var_name": "g", "target_value": 77, "value_dict": {"p": 14}, "is_reverse": true}} | 10,362 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = a + 17; d = p + 4; l = w + 19; n = i + 10; w = j + 10; p = 14; t = n + 14; i = l + 10; j = p + 15; g = o + 14; o = m + 11; a = r + 2; r = d + 15. If p = 14, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = m + 11 to g, which gives g = m + 25.\n2. Substitute m = a + 17 to g, which gives g = a + 42.\n3. Substitute a = r + 2 to g, which gives g = r + 44.\n4. Substitute r = d + 15 to g, which gives g = d + 59.\n5. Substitute d = p + 4 to g, which gives g = p + 63.\n6. Substitute p = 14 to g, which gives g = 77.\n\nThus, the final answer is g = \\boxed{77}.",
"index": 10362,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = a + 17; d = p + 4; l = w + 19; n = i + 10; w = j + 10; p = 14; t = n + 14; i = l + 10; j = p + 15; g = o + 14; o = m + 11; a = r + 2; r = d + 15. If p = 14, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"h": "z + 1", "r": "h + 5", "s": "r + 1", "j": "s + 15", "v": "j + 13", "o": "v + 17", "b": "z + 3", "x": "b + 18", "t": "x + 11", "a": "t + 2", "e": "a + 2", "f": "e + 17", "z": 4}, "premises": {"z": 4}, "target": "o"}, "answer": {"steps": [["v", "j + 13", "j + 30"], ["j", "s + 15", "s + 45"], ["s", "r + 1", "r + 46"], ["r", "h + 5", "h + 51"], ["h", "z + 1", "z + 52"], ["z", 4, "56"]], "target_var_name": "o", "target_value": 56, "value_dict": {"z": 4}, "is_reverse": true}} | 10,363 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = h + 5; f = e + 17; a = t + 2; o = v + 17; z = 4; t = x + 11; v = j + 13; h = z + 1; x = b + 18; j = s + 15; b = z + 3; e = a + 2; s = r + 1. If z = 4, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = j + 13 to o, which gives o = j + 30.\n2. Substitute j = s + 15 to o, which gives o = s + 45.\n3. Substitute s = r + 1 to o, which gives o = r + 46.\n4. Substitute r = h + 5 to o, which gives o = h + 51.\n5. Substitute h = z + 1 to o, which gives o = z + 52.\n6. Substitute z = 4 to o, which gives o = 56.\n\nThus, the final answer is o = \\boxed{56}.",
"index": 10363,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = h + 5; f = e + 17; a = t + 2; o = v + 17; z = 4; t = x + 11; v = j + 13; h = z + 1; x = b + 18; j = s + 15; b = z + 3; e = a + 2; s = r + 1. If z = 4, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"u": "a + 7", "i": "u + 9", "k": "i + 16", "g": "k + 11", "w": "g + 19", "z": "w + 2", "d": "a + 18", "x": "d + 17", "c": "x + 7", "r": "c + 12", "s": "r + 11", "p": "s + 16", "a": 20}, "premises": {"a": 20}, "target": "z"}, "answer": {"steps": [["w", "g + 19", "g + 21"], ["g", "k + 11", "k + 32"], ["k", "i + 16", "i + 48"], ["i", "u + 9", "u + 57"], ["u", "a + 7", "a + 64"], ["a", 20, "84"]], "target_var_name": "z", "target_value": 84, "value_dict": {"a": 20}, "is_reverse": true}} | 10,364 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = w + 2; d = a + 18; w = g + 19; p = s + 16; c = x + 7; x = d + 17; i = u + 9; s = r + 11; a = 20; k = i + 16; r = c + 12; u = a + 7; g = k + 11. Given that a = 20, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = g + 19 to z, which gives z = g + 21.\n2. Substitute g = k + 11 to z, which gives z = k + 32.\n3. Substitute k = i + 16 to z, which gives z = i + 48.\n4. Substitute i = u + 9 to z, which gives z = u + 57.\n5. Substitute u = a + 7 to z, which gives z = a + 64.\n6. Substitute a = 20 to z, which gives z = 84.\n\nThus, the final answer is z = \\boxed{84}.",
"index": 10364,
"question": "Suppose a collection of variables is related by the following definitions: z = w + 2; d = a + 18; w = g + 19; p = s + 16; c = x + 7; x = d + 17; i = u + 9; s = r + 11; a = 20; k = i + 16; r = c + 12; u = a + 7; g = k + 11. Given that a = 20, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"k": "m + 5", "c": "k + 19", "t": "c + 7", "h": "t + 4", "e": "h + 2", "u": "e + 16", "x": "m + 10", "n": "x + 7", "o": "n + 9", "y": "o + 4", "z": "y + 14", "a": "z + 12", "m": 13}, "premises": {"m": 13}, "target": "u"}, "answer": {"steps": [["e", "h + 2", "h + 18"], ["h", "t + 4", "t + 22"], ["t", "c + 7", "c + 29"], ["c", "k + 19", "k + 48"], ["k", "m + 5", "m + 53"], ["m", 13, "66"]], "target_var_name": "u", "target_value": 66, "value_dict": {"m": 13}, "is_reverse": true}} | 10,365 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = 13; c = k + 19; k = m + 5; h = t + 4; a = z + 12; y = o + 4; t = c + 7; o = n + 9; z = y + 14; x = m + 10; e = h + 2; u = e + 16; n = x + 7. Given that m = 13, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = h + 2 to u, which gives u = h + 18.\n2. Substitute h = t + 4 to u, which gives u = t + 22.\n3. Substitute t = c + 7 to u, which gives u = c + 29.\n4. Substitute c = k + 19 to u, which gives u = k + 48.\n5. Substitute k = m + 5 to u, which gives u = m + 53.\n6. Substitute m = 13 to u, which gives u = 66.\n\nThus, the final answer is u = \\boxed{66}.",
"index": 10365,
"question": "Suppose a collection of variables is related by the following definitions: m = 13; c = k + 19; k = m + 5; h = t + 4; a = z + 12; y = o + 4; t = c + 7; o = n + 9; z = y + 14; x = m + 10; e = h + 2; u = e + 16; n = x + 7. Given that m = 13, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"j": "q + 3", "h": "j + 6", "l": "h + 20", "d": "l + 18", "w": "d + 2", "f": "w + 8", "p": "q + 11", "i": "p + 17", "z": "i + 13", "n": "z + 5", "r": "n + 3", "y": "r + 14", "q": 19}, "premises": {"q": 19}, "target": "f"}, "answer": {"steps": [["w", "d + 2", "d + 10"], ["d", "l + 18", "l + 28"], ["l", "h + 20", "h + 48"], ["h", "j + 6", "j + 54"], ["j", "q + 3", "q + 57"], ["q", 19, "76"]], "target_var_name": "f", "target_value": 76, "value_dict": {"q": 19}, "is_reverse": true}} | 10,366 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = l + 18; q = 19; z = i + 13; r = n + 3; j = q + 3; p = q + 11; l = h + 20; w = d + 2; i = p + 17; n = z + 5; h = j + 6; f = w + 8; y = r + 14. Given that q = 19, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = d + 2 to f, which gives f = d + 10.\n2. Substitute d = l + 18 to f, which gives f = l + 28.\n3. Substitute l = h + 20 to f, which gives f = h + 48.\n4. Substitute h = j + 6 to f, which gives f = j + 54.\n5. Substitute j = q + 3 to f, which gives f = q + 57.\n6. Substitute q = 19 to f, which gives f = 76.\n\nThus, the final answer is f = \\boxed{76}.",
"index": 10366,
"question": "Suppose a collection of variables is related by the following definitions: d = l + 18; q = 19; z = i + 13; r = n + 3; j = q + 3; p = q + 11; l = h + 20; w = d + 2; i = p + 17; n = z + 5; h = j + 6; f = w + 8; y = r + 14. Given that q = 19, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"m": "s + 2", "i": "m + 9", "h": "i + 7", "t": "h + 9", "b": "t + 20", "n": "b + 13", "w": "s + 5", "u": "w + 2", "g": "u + 9", "v": "g + 13", "y": "v + 13", "k": "y + 8", "s": 6}, "premises": {"s": 6}, "target": "n"}, "answer": {"steps": [["b", "t + 20", "t + 33"], ["t", "h + 9", "h + 42"], ["h", "i + 7", "i + 49"], ["i", "m + 9", "m + 58"], ["m", "s + 2", "s + 60"], ["s", 6, "66"]], "target_var_name": "n", "target_value": 66, "value_dict": {"s": 6}, "is_reverse": true}} | 10,367 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = s + 5; y = v + 13; k = y + 8; u = w + 2; v = g + 13; m = s + 2; s = 6; t = h + 9; n = b + 13; b = t + 20; g = u + 9; h = i + 7; i = m + 9. Given that s = 6, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = t + 20 to n, which gives n = t + 33.\n2. Substitute t = h + 9 to n, which gives n = h + 42.\n3. Substitute h = i + 7 to n, which gives n = i + 49.\n4. Substitute i = m + 9 to n, which gives n = m + 58.\n5. Substitute m = s + 2 to n, which gives n = s + 60.\n6. Substitute s = 6 to n, which gives n = 66.\n\nThus, the final answer is n = \\boxed{66}.",
"index": 10367,
"question": "Suppose a collection of variables is related by the following definitions: w = s + 5; y = v + 13; k = y + 8; u = w + 2; v = g + 13; m = s + 2; s = 6; t = h + 9; n = b + 13; b = t + 20; g = u + 9; h = i + 7; i = m + 9. Given that s = 6, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"h": "g + 4", "s": "h + 7", "r": "s + 17", "x": "r + 6", "b": "x + 7", "m": "b + 11", "l": "g + 9", "e": "l + 6", "o": "e + 19", "t": "o + 10", "u": "t + 17", "a": "u + 7", "g": 20}, "premises": {"g": 20}, "target": "m"}, "answer": {"steps": [["b", "x + 7", "x + 18"], ["x", "r + 6", "r + 24"], ["r", "s + 17", "s + 41"], ["s", "h + 7", "h + 48"], ["h", "g + 4", "g + 52"], ["g", 20, "72"]], "target_var_name": "m", "target_value": 72, "value_dict": {"g": 20}, "is_reverse": true}} | 10,368 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = g + 4; o = e + 19; g = 20; e = l + 6; a = u + 7; r = s + 17; l = g + 9; s = h + 7; t = o + 10; x = r + 6; m = b + 11; b = x + 7; u = t + 17. If g = 20, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = x + 7 to m, which gives m = x + 18.\n2. Substitute x = r + 6 to m, which gives m = r + 24.\n3. Substitute r = s + 17 to m, which gives m = s + 41.\n4. Substitute s = h + 7 to m, which gives m = h + 48.\n5. Substitute h = g + 4 to m, which gives m = g + 52.\n6. Substitute g = 20 to m, which gives m = 72.\n\nThus, the final answer is m = \\boxed{72}.",
"index": 10368,
"question": "Consider a system of variables where each variable is defined as follows: h = g + 4; o = e + 19; g = 20; e = l + 6; a = u + 7; r = s + 17; l = g + 9; s = h + 7; t = o + 10; x = r + 6; m = b + 11; b = x + 7; u = t + 17. If g = 20, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"h": "q + 7", "d": "h + 1", "m": "d + 5", "v": "m + 10", "r": "v + 1", "t": "r + 12", "f": "q + 18", "e": "f + 7", "b": "e + 12", "o": "b + 4", "z": "o + 15", "k": "z + 2", "q": 3}, "premises": {"q": 3}, "target": "t"}, "answer": {"steps": [["r", "v + 1", "v + 13"], ["v", "m + 10", "m + 23"], ["m", "d + 5", "d + 28"], ["d", "h + 1", "h + 29"], ["h", "q + 7", "q + 36"], ["q", 3, "39"]], "target_var_name": "t", "target_value": 39, "value_dict": {"q": 3}, "is_reverse": true}} | 10,369 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = z + 2; r = v + 1; t = r + 12; q = 3; f = q + 18; e = f + 7; o = b + 4; d = h + 1; m = d + 5; b = e + 12; z = o + 15; h = q + 7; v = m + 10. If q = 3, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 39,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = v + 1 to t, which gives t = v + 13.\n2. Substitute v = m + 10 to t, which gives t = m + 23.\n3. Substitute m = d + 5 to t, which gives t = d + 28.\n4. Substitute d = h + 1 to t, which gives t = h + 29.\n5. Substitute h = q + 7 to t, which gives t = q + 36.\n6. Substitute q = 3 to t, which gives t = 39.\n\nThus, the final answer is t = \\boxed{39}.",
"index": 10369,
"question": "Consider a system of variables where each variable is defined as follows: k = z + 2; r = v + 1; t = r + 12; q = 3; f = q + 18; e = f + 7; o = b + 4; d = h + 1; m = d + 5; b = e + 12; z = o + 15; h = q + 7; v = m + 10. If q = 3, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"n": "g + 11", "i": "n + 4", "b": "i + 17", "y": "b + 2", "v": "y + 3", "u": "v + 5", "q": "g + 17", "z": "q + 1", "f": "z + 10", "l": "f + 19", "w": "l + 19", "j": "w + 8", "g": 16}, "premises": {"g": 16}, "target": "u"}, "answer": {"steps": [["v", "y + 3", "y + 8"], ["y", "b + 2", "b + 10"], ["b", "i + 17", "i + 27"], ["i", "n + 4", "n + 31"], ["n", "g + 11", "g + 42"], ["g", 16, "58"]], "target_var_name": "u", "target_value": 58, "value_dict": {"g": 16}, "is_reverse": true}} | 10,370 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = q + 1; l = f + 19; f = z + 10; n = g + 11; u = v + 5; v = y + 3; i = n + 4; g = 16; y = b + 2; w = l + 19; q = g + 17; j = w + 8; b = i + 17. If g = 16, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = y + 3 to u, which gives u = y + 8.\n2. Substitute y = b + 2 to u, which gives u = b + 10.\n3. Substitute b = i + 17 to u, which gives u = i + 27.\n4. Substitute i = n + 4 to u, which gives u = n + 31.\n5. Substitute n = g + 11 to u, which gives u = g + 42.\n6. Substitute g = 16 to u, which gives u = 58.\n\nThus, the final answer is u = \\boxed{58}.",
"index": 10370,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = q + 1; l = f + 19; f = z + 10; n = g + 11; u = v + 5; v = y + 3; i = n + 4; g = 16; y = b + 2; w = l + 19; q = g + 17; j = w + 8; b = i + 17. If g = 16, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"i": "q + 11", "a": "i + 10", "x": "a + 15", "g": "x + 13", "t": "g + 2", "u": "t + 19", "f": "q + 20", "e": "f + 14", "j": "e + 7", "w": "j + 16", "y": "w + 3", "v": "y + 1", "q": 1}, "premises": {"q": 1}, "target": "u"}, "answer": {"steps": [["t", "g + 2", "g + 21"], ["g", "x + 13", "x + 34"], ["x", "a + 15", "a + 49"], ["a", "i + 10", "i + 59"], ["i", "q + 11", "q + 70"], ["q", 1, "71"]], "target_var_name": "u", "target_value": 71, "value_dict": {"q": 1}, "is_reverse": true}} | 10,371 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = f + 14; j = e + 7; i = q + 11; u = t + 19; t = g + 2; y = w + 3; q = 1; w = j + 16; a = i + 10; g = x + 13; f = q + 20; v = y + 1; x = a + 15. Given that q = 1, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = g + 2 to u, which gives u = g + 21.\n2. Substitute g = x + 13 to u, which gives u = x + 34.\n3. Substitute x = a + 15 to u, which gives u = a + 49.\n4. Substitute a = i + 10 to u, which gives u = i + 59.\n5. Substitute i = q + 11 to u, which gives u = q + 70.\n6. Substitute q = 1 to u, which gives u = 71.\n\nThus, the final answer is u = \\boxed{71}.",
"index": 10371,
"question": "Suppose a collection of variables is related by the following definitions: e = f + 14; j = e + 7; i = q + 11; u = t + 19; t = g + 2; y = w + 3; q = 1; w = j + 16; a = i + 10; g = x + 13; f = q + 20; v = y + 1; x = a + 15. Given that q = 1, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"r": "t + 10", "n": "r + 9", "d": "n + 2", "s": "d + 14", "k": "s + 8", "o": "k + 15", "i": "t + 10", "l": "i + 14", "b": "l + 19", "c": "b + 16", "m": "c + 5", "x": "m + 5", "t": 3}, "premises": {"t": 3}, "target": "o"}, "answer": {"steps": [["k", "s + 8", "s + 23"], ["s", "d + 14", "d + 37"], ["d", "n + 2", "n + 39"], ["n", "r + 9", "r + 48"], ["r", "t + 10", "t + 58"], ["t", 3, "61"]], "target_var_name": "o", "target_value": 61, "value_dict": {"t": 3}, "is_reverse": true}} | 10,372 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = i + 14; o = k + 15; k = s + 8; n = r + 9; r = t + 10; c = b + 16; x = m + 5; d = n + 2; s = d + 14; b = l + 19; i = t + 10; m = c + 5; t = 3. If t = 3, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = s + 8 to o, which gives o = s + 23.\n2. Substitute s = d + 14 to o, which gives o = d + 37.\n3. Substitute d = n + 2 to o, which gives o = n + 39.\n4. Substitute n = r + 9 to o, which gives o = r + 48.\n5. Substitute r = t + 10 to o, which gives o = t + 58.\n6. Substitute t = 3 to o, which gives o = 61.\n\nThus, the final answer is o = \\boxed{61}.",
"index": 10372,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = i + 14; o = k + 15; k = s + 8; n = r + 9; r = t + 10; c = b + 16; x = m + 5; d = n + 2; s = d + 14; b = l + 19; i = t + 10; m = c + 5; t = 3. If t = 3, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"w": "i + 2", "d": "w + 1", "r": "d + 15", "q": "r + 18", "o": "q + 3", "z": "o + 4", "t": "i + 16", "b": "t + 13", "g": "b + 10", "m": "g + 5", "k": "m + 5", "x": "k + 1", "i": 13}, "premises": {"i": 13}, "target": "z"}, "answer": {"steps": [["o", "q + 3", "q + 7"], ["q", "r + 18", "r + 25"], ["r", "d + 15", "d + 40"], ["d", "w + 1", "w + 41"], ["w", "i + 2", "i + 43"], ["i", 13, "56"]], "target_var_name": "z", "target_value": 56, "value_dict": {"i": 13}, "is_reverse": true}} | 10,373 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = m + 5; t = i + 16; i = 13; w = i + 2; x = k + 1; g = b + 10; d = w + 1; z = o + 4; m = g + 5; r = d + 15; o = q + 3; b = t + 13; q = r + 18. Given that i = 13, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = q + 3 to z, which gives z = q + 7.\n2. Substitute q = r + 18 to z, which gives z = r + 25.\n3. Substitute r = d + 15 to z, which gives z = d + 40.\n4. Substitute d = w + 1 to z, which gives z = w + 41.\n5. Substitute w = i + 2 to z, which gives z = i + 43.\n6. Substitute i = 13 to z, which gives z = 56.\n\nThus, the final answer is z = \\boxed{56}.",
"index": 10373,
"question": "Suppose a collection of variables is related by the following definitions: k = m + 5; t = i + 16; i = 13; w = i + 2; x = k + 1; g = b + 10; d = w + 1; z = o + 4; m = g + 5; r = d + 15; o = q + 3; b = t + 13; q = r + 18. Given that i = 13, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"k": "j + 4", "z": "k + 20", "h": "z + 7", "o": "h + 20", "c": "o + 2", "y": "c + 14", "p": "j + 10", "x": "p + 15", "t": "x + 8", "g": "t + 19", "m": "g + 13", "b": "m + 16", "j": 10}, "premises": {"j": 10}, "target": "y"}, "answer": {"steps": [["c", "o + 2", "o + 16"], ["o", "h + 20", "h + 36"], ["h", "z + 7", "z + 43"], ["z", "k + 20", "k + 63"], ["k", "j + 4", "j + 67"], ["j", 10, "77"]], "target_var_name": "y", "target_value": 77, "value_dict": {"j": 10}, "is_reverse": true}} | 10,374 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = h + 20; z = k + 20; k = j + 4; h = z + 7; p = j + 10; t = x + 8; x = p + 15; m = g + 13; j = 10; b = m + 16; y = c + 14; c = o + 2; g = t + 19. If j = 10, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = o + 2 to y, which gives y = o + 16.\n2. Substitute o = h + 20 to y, which gives y = h + 36.\n3. Substitute h = z + 7 to y, which gives y = z + 43.\n4. Substitute z = k + 20 to y, which gives y = k + 63.\n5. Substitute k = j + 4 to y, which gives y = j + 67.\n6. Substitute j = 10 to y, which gives y = 77.\n\nThus, the final answer is y = \\boxed{77}.",
"index": 10374,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = h + 20; z = k + 20; k = j + 4; h = z + 7; p = j + 10; t = x + 8; x = p + 15; m = g + 13; j = 10; b = m + 16; y = c + 14; c = o + 2; g = t + 19. If j = 10, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"n": "a + 1", "b": "n + 1", "e": "b + 16", "p": "e + 20", "z": "p + 20", "j": "z + 14", "w": "a + 4", "x": "w + 20", "d": "x + 18", "m": "d + 15", "u": "m + 16", "t": "u + 2", "a": 4}, "premises": {"a": 4}, "target": "j"}, "answer": {"steps": [["z", "p + 20", "p + 34"], ["p", "e + 20", "e + 54"], ["e", "b + 16", "b + 70"], ["b", "n + 1", "n + 71"], ["n", "a + 1", "a + 72"], ["a", 4, "76"]], "target_var_name": "j", "target_value": 76, "value_dict": {"a": 4}, "is_reverse": true}} | 10,375 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = a + 1; p = e + 20; e = b + 16; z = p + 20; u = m + 16; b = n + 1; x = w + 20; a = 4; m = d + 15; w = a + 4; t = u + 2; j = z + 14; d = x + 18. If a = 4, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = p + 20 to j, which gives j = p + 34.\n2. Substitute p = e + 20 to j, which gives j = e + 54.\n3. Substitute e = b + 16 to j, which gives j = b + 70.\n4. Substitute b = n + 1 to j, which gives j = n + 71.\n5. Substitute n = a + 1 to j, which gives j = a + 72.\n6. Substitute a = 4 to j, which gives j = 76.\n\nThus, the final answer is j = \\boxed{76}.",
"index": 10375,
"question": "Consider a system of variables where each variable is defined as follows: n = a + 1; p = e + 20; e = b + 16; z = p + 20; u = m + 16; b = n + 1; x = w + 20; a = 4; m = d + 15; w = a + 4; t = u + 2; j = z + 14; d = x + 18. If a = 4, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"y": "r + 9", "m": "y + 15", "v": "m + 12", "i": "v + 16", "n": "i + 3", "k": "n + 15", "j": "r + 20", "f": "j + 11", "u": "f + 19", "c": "u + 9", "t": "c + 15", "o": "t + 9", "r": 10}, "premises": {"r": 10}, "target": "k"}, "answer": {"steps": [["n", "i + 3", "i + 18"], ["i", "v + 16", "v + 34"], ["v", "m + 12", "m + 46"], ["m", "y + 15", "y + 61"], ["y", "r + 9", "r + 70"], ["r", 10, "80"]], "target_var_name": "k", "target_value": 80, "value_dict": {"r": 10}, "is_reverse": true}} | 10,376 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = i + 3; j = r + 20; u = f + 19; m = y + 15; k = n + 15; v = m + 12; o = t + 9; i = v + 16; f = j + 11; r = 10; c = u + 9; t = c + 15; y = r + 9. If r = 10, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = i + 3 to k, which gives k = i + 18.\n2. Substitute i = v + 16 to k, which gives k = v + 34.\n3. Substitute v = m + 12 to k, which gives k = m + 46.\n4. Substitute m = y + 15 to k, which gives k = y + 61.\n5. Substitute y = r + 9 to k, which gives k = r + 70.\n6. Substitute r = 10 to k, which gives k = 80.\n\nThus, the final answer is k = \\boxed{80}.",
"index": 10376,
"question": "Consider a system of variables where each variable is defined as follows: n = i + 3; j = r + 20; u = f + 19; m = y + 15; k = n + 15; v = m + 12; o = t + 9; i = v + 16; f = j + 11; r = 10; c = u + 9; t = c + 15; y = r + 9. If r = 10, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"k": "u + 2", "q": "k + 10", "b": "q + 19", "m": "b + 1", "w": "m + 17", "g": "w + 7", "x": "u + 1", "o": "x + 13", "a": "o + 10", "j": "a + 12", "i": "j + 8", "l": "i + 4", "u": 16}, "premises": {"u": 16}, "target": "g"}, "answer": {"steps": [["w", "m + 17", "m + 24"], ["m", "b + 1", "b + 25"], ["b", "q + 19", "q + 44"], ["q", "k + 10", "k + 54"], ["k", "u + 2", "u + 56"], ["u", 16, "72"]], "target_var_name": "g", "target_value": 72, "value_dict": {"u": 16}, "is_reverse": true}} | 10,377 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = w + 7; q = k + 10; k = u + 2; i = j + 8; u = 16; m = b + 1; o = x + 13; x = u + 1; b = q + 19; l = i + 4; a = o + 10; j = a + 12; w = m + 17. If u = 16, determine 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 w = m + 17 to g, which gives g = m + 24.\n2. Substitute m = b + 1 to g, which gives g = b + 25.\n3. Substitute b = q + 19 to g, which gives g = q + 44.\n4. Substitute q = k + 10 to g, which gives g = k + 54.\n5. Substitute k = u + 2 to g, which gives g = u + 56.\n6. Substitute u = 16 to g, which gives g = 72.\n\nThus, the final answer is g = \\boxed{72}.",
"index": 10377,
"question": "Consider a system of variables where each variable is defined as follows: g = w + 7; q = k + 10; k = u + 2; i = j + 8; u = 16; m = b + 1; o = x + 13; x = u + 1; b = q + 19; l = i + 4; a = o + 10; j = a + 12; w = m + 17. If u = 16, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"e": "w + 5", "d": "e + 5", "h": "d + 20", "n": "h + 19", "u": "n + 4", "z": "u + 12", "r": "w + 9", "i": "r + 13", "f": "i + 18", "g": "f + 18", "t": "g + 16", "y": "t + 20", "w": 6}, "premises": {"w": 6}, "target": "z"}, "answer": {"steps": [["u", "n + 4", "n + 16"], ["n", "h + 19", "h + 35"], ["h", "d + 20", "d + 55"], ["d", "e + 5", "e + 60"], ["e", "w + 5", "w + 65"], ["w", 6, "71"]], "target_var_name": "z", "target_value": 71, "value_dict": {"w": 6}, "is_reverse": true}} | 10,378 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = w + 5; i = r + 13; g = f + 18; n = h + 19; t = g + 16; u = n + 4; h = d + 20; w = 6; d = e + 5; z = u + 12; y = t + 20; r = w + 9; f = i + 18. If w = 6, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = n + 4 to z, which gives z = n + 16.\n2. Substitute n = h + 19 to z, which gives z = h + 35.\n3. Substitute h = d + 20 to z, which gives z = d + 55.\n4. Substitute d = e + 5 to z, which gives z = e + 60.\n5. Substitute e = w + 5 to z, which gives z = w + 65.\n6. Substitute w = 6 to z, which gives z = 71.\n\nThus, the final answer is z = \\boxed{71}.",
"index": 10378,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = w + 5; i = r + 13; g = f + 18; n = h + 19; t = g + 16; u = n + 4; h = d + 20; w = 6; d = e + 5; z = u + 12; y = t + 20; r = w + 9; f = i + 18. If w = 6, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"f": "w + 14", "b": "f + 12", "m": "b + 5", "c": "m + 8", "d": "c + 14", "r": "d + 7", "k": "w + 6", "s": "k + 18", "a": "s + 14", "t": "a + 20", "l": "t + 19", "p": "l + 5", "w": 2}, "premises": {"w": 2}, "target": "r"}, "answer": {"steps": [["d", "c + 14", "c + 21"], ["c", "m + 8", "m + 29"], ["m", "b + 5", "b + 34"], ["b", "f + 12", "f + 46"], ["f", "w + 14", "w + 60"], ["w", 2, "62"]], "target_var_name": "r", "target_value": 62, "value_dict": {"w": 2}, "is_reverse": true}} | 10,379 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = m + 8; a = s + 14; m = b + 5; t = a + 20; w = 2; b = f + 12; p = l + 5; l = t + 19; f = w + 14; d = c + 14; s = k + 18; k = w + 6; r = d + 7. If w = 2, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = c + 14 to r, which gives r = c + 21.\n2. Substitute c = m + 8 to r, which gives r = m + 29.\n3. Substitute m = b + 5 to r, which gives r = b + 34.\n4. Substitute b = f + 12 to r, which gives r = f + 46.\n5. Substitute f = w + 14 to r, which gives r = w + 60.\n6. Substitute w = 2 to r, which gives r = 62.\n\nThus, the final answer is r = \\boxed{62}.",
"index": 10379,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = m + 8; a = s + 14; m = b + 5; t = a + 20; w = 2; b = f + 12; p = l + 5; l = t + 19; f = w + 14; d = c + 14; s = k + 18; k = w + 6; r = d + 7. If w = 2, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"v": "w + 19", "c": "v + 17", "i": "c + 14", "x": "i + 6", "p": "x + 11", "l": "p + 18", "z": "w + 19", "m": "z + 11", "h": "m + 5", "n": "h + 6", "u": "n + 6", "t": "u + 5", "w": 9}, "premises": {"w": 9}, "target": "l"}, "answer": {"steps": [["p", "x + 11", "x + 29"], ["x", "i + 6", "i + 35"], ["i", "c + 14", "c + 49"], ["c", "v + 17", "v + 66"], ["v", "w + 19", "w + 85"], ["w", 9, "94"]], "target_var_name": "l", "target_value": 94, "value_dict": {"w": 9}, "is_reverse": true}} | 10,380 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = w + 19; l = p + 18; h = m + 5; m = z + 11; c = v + 17; t = u + 5; p = x + 11; w = 9; z = w + 19; u = n + 6; x = i + 6; i = c + 14; n = h + 6. Given that w = 9, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = x + 11 to l, which gives l = x + 29.\n2. Substitute x = i + 6 to l, which gives l = i + 35.\n3. Substitute i = c + 14 to l, which gives l = c + 49.\n4. Substitute c = v + 17 to l, which gives l = v + 66.\n5. Substitute v = w + 19 to l, which gives l = w + 85.\n6. Substitute w = 9 to l, which gives l = 94.\n\nThus, the final answer is l = \\boxed{94}.",
"index": 10380,
"question": "Suppose a collection of variables is related by the following definitions: v = w + 19; l = p + 18; h = m + 5; m = z + 11; c = v + 17; t = u + 5; p = x + 11; w = 9; z = w + 19; u = n + 6; x = i + 6; i = c + 14; n = h + 6. Given that w = 9, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"s": "n + 7", "q": "s + 16", "u": "q + 8", "m": "u + 5", "o": "m + 13", "t": "o + 15", "a": "n + 10", "v": "a + 20", "r": "v + 16", "z": "r + 4", "y": "z + 15", "i": "y + 14", "n": 13}, "premises": {"n": 13}, "target": "t"}, "answer": {"steps": [["o", "m + 13", "m + 28"], ["m", "u + 5", "u + 33"], ["u", "q + 8", "q + 41"], ["q", "s + 16", "s + 57"], ["s", "n + 7", "n + 64"], ["n", 13, "77"]], "target_var_name": "t", "target_value": 77, "value_dict": {"n": 13}, "is_reverse": true}} | 10,381 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = y + 14; t = o + 15; s = n + 7; u = q + 8; n = 13; o = m + 13; r = v + 16; z = r + 4; a = n + 10; y = z + 15; q = s + 16; v = a + 20; m = u + 5. If n = 13, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = m + 13 to t, which gives t = m + 28.\n2. Substitute m = u + 5 to t, which gives t = u + 33.\n3. Substitute u = q + 8 to t, which gives t = q + 41.\n4. Substitute q = s + 16 to t, which gives t = s + 57.\n5. Substitute s = n + 7 to t, which gives t = n + 64.\n6. Substitute n = 13 to t, which gives t = 77.\n\nThus, the final answer is t = \\boxed{77}.",
"index": 10381,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = y + 14; t = o + 15; s = n + 7; u = q + 8; n = 13; o = m + 13; r = v + 16; z = r + 4; a = n + 10; y = z + 15; q = s + 16; v = a + 20; m = u + 5. If n = 13, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"q": "s + 17", "w": "q + 15", "x": "w + 17", "g": "x + 7", "r": "g + 1", "u": "r + 20", "f": "s + 4", "c": "f + 2", "k": "c + 5", "j": "k + 12", "e": "j + 1", "v": "e + 16", "s": 20}, "premises": {"s": 20}, "target": "u"}, "answer": {"steps": [["r", "g + 1", "g + 21"], ["g", "x + 7", "x + 28"], ["x", "w + 17", "w + 45"], ["w", "q + 15", "q + 60"], ["q", "s + 17", "s + 77"], ["s", 20, "97"]], "target_var_name": "u", "target_value": 97, "value_dict": {"s": 20}, "is_reverse": true}} | 10,382 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = e + 16; e = j + 1; u = r + 20; g = x + 7; k = c + 5; f = s + 4; w = q + 15; r = g + 1; x = w + 17; s = 20; q = s + 17; c = f + 2; j = k + 12. If s = 20, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = g + 1 to u, which gives u = g + 21.\n2. Substitute g = x + 7 to u, which gives u = x + 28.\n3. Substitute x = w + 17 to u, which gives u = w + 45.\n4. Substitute w = q + 15 to u, which gives u = q + 60.\n5. Substitute q = s + 17 to u, which gives u = s + 77.\n6. Substitute s = 20 to u, which gives u = 97.\n\nThus, the final answer is u = \\boxed{97}.",
"index": 10382,
"question": "Consider a system of variables where each variable is defined as follows: v = e + 16; e = j + 1; u = r + 20; g = x + 7; k = c + 5; f = s + 4; w = q + 15; r = g + 1; x = w + 17; s = 20; q = s + 17; c = f + 2; j = k + 12. If s = 20, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"h": "u + 5", "k": "h + 1", "w": "k + 2", "d": "w + 2", "o": "d + 19", "p": "o + 2", "t": "u + 10", "v": "t + 14", "r": "v + 17", "y": "r + 11", "n": "y + 2", "m": "n + 5", "u": 19}, "premises": {"u": 19}, "target": "p"}, "answer": {"steps": [["o", "d + 19", "d + 21"], ["d", "w + 2", "w + 23"], ["w", "k + 2", "k + 25"], ["k", "h + 1", "h + 26"], ["h", "u + 5", "u + 31"], ["u", 19, "50"]], "target_var_name": "p", "target_value": 50, "value_dict": {"u": 19}, "is_reverse": true}} | 10,383 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = u + 10; n = y + 2; y = r + 11; m = n + 5; p = o + 2; w = k + 2; k = h + 1; h = u + 5; o = d + 19; d = w + 2; v = t + 14; r = v + 17; u = 19. If u = 19, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = d + 19 to p, which gives p = d + 21.\n2. Substitute d = w + 2 to p, which gives p = w + 23.\n3. Substitute w = k + 2 to p, which gives p = k + 25.\n4. Substitute k = h + 1 to p, which gives p = h + 26.\n5. Substitute h = u + 5 to p, which gives p = u + 31.\n6. Substitute u = 19 to p, which gives p = 50.\n\nThus, the final answer is p = \\boxed{50}.",
"index": 10383,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = u + 10; n = y + 2; y = r + 11; m = n + 5; p = o + 2; w = k + 2; k = h + 1; h = u + 5; o = d + 19; d = w + 2; v = t + 14; r = v + 17; u = 19. If u = 19, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"x": "p + 5", "g": "x + 7", "a": "g + 17", "w": "a + 16", "f": "w + 16", "i": "f + 3", "m": "p + 2", "q": "m + 12", "u": "q + 3", "t": "u + 6", "o": "t + 5", "c": "o + 14", "p": 17}, "premises": {"p": 17}, "target": "i"}, "answer": {"steps": [["f", "w + 16", "w + 19"], ["w", "a + 16", "a + 35"], ["a", "g + 17", "g + 52"], ["g", "x + 7", "x + 59"], ["x", "p + 5", "p + 64"], ["p", 17, "81"]], "target_var_name": "i", "target_value": 81, "value_dict": {"p": 17}, "is_reverse": true}} | 10,384 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = p + 2; u = q + 3; p = 17; q = m + 12; a = g + 17; w = a + 16; t = u + 6; c = o + 14; i = f + 3; f = w + 16; x = p + 5; g = x + 7; o = t + 5. Given that p = 17, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = w + 16 to i, which gives i = w + 19.\n2. Substitute w = a + 16 to i, which gives i = a + 35.\n3. Substitute a = g + 17 to i, which gives i = g + 52.\n4. Substitute g = x + 7 to i, which gives i = x + 59.\n5. Substitute x = p + 5 to i, which gives i = p + 64.\n6. Substitute p = 17 to i, which gives i = 81.\n\nThus, the final answer is i = \\boxed{81}.",
"index": 10384,
"question": "Suppose a collection of variables is related by the following definitions: m = p + 2; u = q + 3; p = 17; q = m + 12; a = g + 17; w = a + 16; t = u + 6; c = o + 14; i = f + 3; f = w + 16; x = p + 5; g = x + 7; o = t + 5. Given that p = 17, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"c": "k + 6", "j": "c + 7", "m": "j + 3", "b": "m + 6", "y": "b + 11", "q": "y + 4", "z": "k + 14", "e": "z + 2", "d": "e + 6", "r": "d + 11", "t": "r + 13", "u": "t + 9", "k": 13}, "premises": {"k": 13}, "target": "q"}, "answer": {"steps": [["y", "b + 11", "b + 15"], ["b", "m + 6", "m + 21"], ["m", "j + 3", "j + 24"], ["j", "c + 7", "c + 31"], ["c", "k + 6", "k + 37"], ["k", 13, "50"]], "target_var_name": "q", "target_value": 50, "value_dict": {"k": 13}, "is_reverse": true}} | 10,385 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = c + 7; t = r + 13; y = b + 11; k = 13; m = j + 3; r = d + 11; b = m + 6; z = k + 14; d = e + 6; u = t + 9; c = k + 6; q = y + 4; e = z + 2. Given that k = 13, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = b + 11 to q, which gives q = b + 15.\n2. Substitute b = m + 6 to q, which gives q = m + 21.\n3. Substitute m = j + 3 to q, which gives q = j + 24.\n4. Substitute j = c + 7 to q, which gives q = c + 31.\n5. Substitute c = k + 6 to q, which gives q = k + 37.\n6. Substitute k = 13 to q, which gives q = 50.\n\nThus, the final answer is q = \\boxed{50}.",
"index": 10385,
"question": "Suppose a collection of variables is related by the following definitions: j = c + 7; t = r + 13; y = b + 11; k = 13; m = j + 3; r = d + 11; b = m + 6; z = k + 14; d = e + 6; u = t + 9; c = k + 6; q = y + 4; e = z + 2. Given that k = 13, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"k": "f + 5", "m": "k + 12", "w": "m + 10", "g": "w + 1", "l": "g + 2", "i": "l + 19", "j": "f + 15", "u": "j + 8", "q": "u + 14", "r": "q + 2", "v": "r + 12", "n": "v + 4", "f": 20}, "premises": {"f": 20}, "target": "i"}, "answer": {"steps": [["l", "g + 2", "g + 21"], ["g", "w + 1", "w + 22"], ["w", "m + 10", "m + 32"], ["m", "k + 12", "k + 44"], ["k", "f + 5", "f + 49"], ["f", 20, "69"]], "target_var_name": "i", "target_value": 69, "value_dict": {"f": 20}, "is_reverse": true}} | 10,386 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = q + 2; k = f + 5; f = 20; m = k + 12; w = m + 10; i = l + 19; n = v + 4; l = g + 2; u = j + 8; q = u + 14; g = w + 1; v = r + 12; j = f + 15. If f = 20, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = g + 2 to i, which gives i = g + 21.\n2. Substitute g = w + 1 to i, which gives i = w + 22.\n3. Substitute w = m + 10 to i, which gives i = m + 32.\n4. Substitute m = k + 12 to i, which gives i = k + 44.\n5. Substitute k = f + 5 to i, which gives i = f + 49.\n6. Substitute f = 20 to i, which gives i = 69.\n\nThus, the final answer is i = \\boxed{69}.",
"index": 10386,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = q + 2; k = f + 5; f = 20; m = k + 12; w = m + 10; i = l + 19; n = v + 4; l = g + 2; u = j + 8; q = u + 14; g = w + 1; v = r + 12; j = f + 15. If f = 20, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"s": "y + 20", "o": "s + 16", "c": "o + 16", "t": "c + 2", "a": "t + 13", "h": "a + 15", "g": "y + 5", "r": "g + 18", "j": "r + 12", "k": "j + 10", "q": "k + 7", "p": "q + 5", "y": 11}, "premises": {"y": 11}, "target": "h"}, "answer": {"steps": [["a", "t + 13", "t + 28"], ["t", "c + 2", "c + 30"], ["c", "o + 16", "o + 46"], ["o", "s + 16", "s + 62"], ["s", "y + 20", "y + 82"], ["y", 11, "93"]], "target_var_name": "h", "target_value": 93, "value_dict": {"y": 11}, "is_reverse": true}} | 10,387 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = s + 16; h = a + 15; q = k + 7; g = y + 5; j = r + 12; y = 11; p = q + 5; c = o + 16; s = y + 20; a = t + 13; k = j + 10; r = g + 18; t = c + 2. Given that y = 11, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = t + 13 to h, which gives h = t + 28.\n2. Substitute t = c + 2 to h, which gives h = c + 30.\n3. Substitute c = o + 16 to h, which gives h = o + 46.\n4. Substitute o = s + 16 to h, which gives h = s + 62.\n5. Substitute s = y + 20 to h, which gives h = y + 82.\n6. Substitute y = 11 to h, which gives h = 93.\n\nThus, the final answer is h = \\boxed{93}.",
"index": 10387,
"question": "Suppose a collection of variables is related by the following definitions: o = s + 16; h = a + 15; q = k + 7; g = y + 5; j = r + 12; y = 11; p = q + 5; c = o + 16; s = y + 20; a = t + 13; k = j + 10; r = g + 18; t = c + 2. Given that y = 11, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"g": "v + 5", "j": "g + 16", "u": "j + 15", "d": "u + 14", "r": "d + 7", "y": "r + 5", "m": "v + 20", "p": "m + 19", "t": "p + 14", "w": "t + 6", "a": "w + 9", "i": "a + 13", "v": 10}, "premises": {"v": 10}, "target": "y"}, "answer": {"steps": [["r", "d + 7", "d + 12"], ["d", "u + 14", "u + 26"], ["u", "j + 15", "j + 41"], ["j", "g + 16", "g + 57"], ["g", "v + 5", "v + 62"], ["v", 10, "72"]], "target_var_name": "y", "target_value": 72, "value_dict": {"v": 10}, "is_reverse": true}} | 10,388 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = d + 7; j = g + 16; i = a + 13; p = m + 19; y = r + 5; m = v + 20; u = j + 15; g = v + 5; d = u + 14; a = w + 9; t = p + 14; v = 10; w = t + 6. If v = 10, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = d + 7 to y, which gives y = d + 12.\n2. Substitute d = u + 14 to y, which gives y = u + 26.\n3. Substitute u = j + 15 to y, which gives y = j + 41.\n4. Substitute j = g + 16 to y, which gives y = g + 57.\n5. Substitute g = v + 5 to y, which gives y = v + 62.\n6. Substitute v = 10 to y, which gives y = 72.\n\nThus, the final answer is y = \\boxed{72}.",
"index": 10388,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = d + 7; j = g + 16; i = a + 13; p = m + 19; y = r + 5; m = v + 20; u = j + 15; g = v + 5; d = u + 14; a = w + 9; t = p + 14; v = 10; w = t + 6. If v = 10, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"y": "p + 13", "x": "y + 13", "u": "x + 17", "j": "u + 3", "c": "j + 11", "s": "c + 4", "f": "p + 2", "g": "f + 12", "d": "g + 15", "t": "d + 16", "o": "t + 5", "k": "o + 5", "p": 20}, "premises": {"p": 20}, "target": "s"}, "answer": {"steps": [["c", "j + 11", "j + 15"], ["j", "u + 3", "u + 18"], ["u", "x + 17", "x + 35"], ["x", "y + 13", "y + 48"], ["y", "p + 13", "p + 61"], ["p", 20, "81"]], "target_var_name": "s", "target_value": 81, "value_dict": {"p": 20}, "is_reverse": true}} | 10,389 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = d + 16; j = u + 3; k = o + 5; d = g + 15; u = x + 17; f = p + 2; o = t + 5; g = f + 12; x = y + 13; y = p + 13; p = 20; s = c + 4; c = j + 11. If p = 20, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = j + 11 to s, which gives s = j + 15.\n2. Substitute j = u + 3 to s, which gives s = u + 18.\n3. Substitute u = x + 17 to s, which gives s = x + 35.\n4. Substitute x = y + 13 to s, which gives s = y + 48.\n5. Substitute y = p + 13 to s, which gives s = p + 61.\n6. Substitute p = 20 to s, which gives s = 81.\n\nThus, the final answer is s = \\boxed{81}.",
"index": 10389,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = d + 16; j = u + 3; k = o + 5; d = g + 15; u = x + 17; f = p + 2; o = t + 5; g = f + 12; x = y + 13; y = p + 13; p = 20; s = c + 4; c = j + 11. If p = 20, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"p": "d + 16", "w": "p + 10", "g": "w + 16", "f": "g + 12", "v": "f + 11", "n": "v + 6", "k": "d + 18", "q": "k + 12", "x": "q + 15", "j": "x + 6", "m": "j + 11", "a": "m + 15", "d": 18}, "premises": {"d": 18}, "target": "n"}, "answer": {"steps": [["v", "f + 11", "f + 17"], ["f", "g + 12", "g + 29"], ["g", "w + 16", "w + 45"], ["w", "p + 10", "p + 55"], ["p", "d + 16", "d + 71"], ["d", 18, "89"]], "target_var_name": "n", "target_value": 89, "value_dict": {"d": 18}, "is_reverse": true}} | 10,390 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = d + 16; a = m + 15; q = k + 12; g = w + 16; d = 18; x = q + 15; v = f + 11; k = d + 18; m = j + 11; w = p + 10; n = v + 6; f = g + 12; j = x + 6. If d = 18, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = f + 11 to n, which gives n = f + 17.\n2. Substitute f = g + 12 to n, which gives n = g + 29.\n3. Substitute g = w + 16 to n, which gives n = w + 45.\n4. Substitute w = p + 10 to n, which gives n = p + 55.\n5. Substitute p = d + 16 to n, which gives n = d + 71.\n6. Substitute d = 18 to n, which gives n = 89.\n\nThus, the final answer is n = \\boxed{89}.",
"index": 10390,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = d + 16; a = m + 15; q = k + 12; g = w + 16; d = 18; x = q + 15; v = f + 11; k = d + 18; m = j + 11; w = p + 10; n = v + 6; f = g + 12; j = x + 6. If d = 18, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"s": "n + 14", "k": "s + 12", "i": "k + 1", "d": "i + 5", "x": "d + 1", "a": "x + 2", "y": "n + 12", "f": "y + 6", "q": "f + 20", "m": "q + 11", "t": "m + 16", "z": "t + 14", "n": 10}, "premises": {"n": 10}, "target": "a"}, "answer": {"steps": [["x", "d + 1", "d + 3"], ["d", "i + 5", "i + 8"], ["i", "k + 1", "k + 9"], ["k", "s + 12", "s + 21"], ["s", "n + 14", "n + 35"], ["n", 10, "45"]], "target_var_name": "a", "target_value": 45, "value_dict": {"n": 10}, "is_reverse": true}} | 10,391 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = y + 6; i = k + 1; x = d + 1; n = 10; y = n + 12; q = f + 20; a = x + 2; t = m + 16; d = i + 5; k = s + 12; z = t + 14; s = n + 14; m = q + 11. If n = 10, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = d + 1 to a, which gives a = d + 3.\n2. Substitute d = i + 5 to a, which gives a = i + 8.\n3. Substitute i = k + 1 to a, which gives a = k + 9.\n4. Substitute k = s + 12 to a, which gives a = s + 21.\n5. Substitute s = n + 14 to a, which gives a = n + 35.\n6. Substitute n = 10 to a, which gives a = 45.\n\nThus, the final answer is a = \\boxed{45}.",
"index": 10391,
"question": "Consider a system of variables where each variable is defined as follows: f = y + 6; i = k + 1; x = d + 1; n = 10; y = n + 12; q = f + 20; a = x + 2; t = m + 16; d = i + 5; k = s + 12; z = t + 14; s = n + 14; m = q + 11. If n = 10, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"k": "f + 16", "p": "k + 2", "d": "p + 13", "c": "d + 16", "w": "c + 6", "n": "w + 6", "y": "f + 1", "x": "y + 4", "v": "x + 20", "i": "v + 17", "l": "i + 7", "z": "l + 5", "f": 9}, "premises": {"f": 9}, "target": "n"}, "answer": {"steps": [["w", "c + 6", "c + 12"], ["c", "d + 16", "d + 28"], ["d", "p + 13", "p + 41"], ["p", "k + 2", "k + 43"], ["k", "f + 16", "f + 59"], ["f", 9, "68"]], "target_var_name": "n", "target_value": 68, "value_dict": {"f": 9}, "is_reverse": true}} | 10,392 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = l + 5; k = f + 16; v = x + 20; i = v + 17; f = 9; x = y + 4; y = f + 1; p = k + 2; n = w + 6; c = d + 16; d = p + 13; w = c + 6; l = i + 7. If f = 9, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = c + 6 to n, which gives n = c + 12.\n2. Substitute c = d + 16 to n, which gives n = d + 28.\n3. Substitute d = p + 13 to n, which gives n = p + 41.\n4. Substitute p = k + 2 to n, which gives n = k + 43.\n5. Substitute k = f + 16 to n, which gives n = f + 59.\n6. Substitute f = 9 to n, which gives n = 68.\n\nThus, the final answer is n = \\boxed{68}.",
"index": 10392,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = l + 5; k = f + 16; v = x + 20; i = v + 17; f = 9; x = y + 4; y = f + 1; p = k + 2; n = w + 6; c = d + 16; d = p + 13; w = c + 6; l = i + 7. If f = 9, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"h": "j + 7", "r": "h + 2", "a": "r + 17", "p": "a + 1", "i": "p + 7", "b": "i + 8", "w": "j + 2", "m": "w + 8", "e": "m + 6", "n": "e + 5", "d": "n + 2", "y": "d + 6", "j": 4}, "premises": {"j": 4}, "target": "b"}, "answer": {"steps": [["i", "p + 7", "p + 15"], ["p", "a + 1", "a + 16"], ["a", "r + 17", "r + 33"], ["r", "h + 2", "h + 35"], ["h", "j + 7", "j + 42"], ["j", 4, "46"]], "target_var_name": "b", "target_value": 46, "value_dict": {"j": 4}, "is_reverse": true}} | 10,393 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = m + 6; d = n + 2; n = e + 5; b = i + 8; r = h + 2; i = p + 7; p = a + 1; j = 4; m = w + 8; y = d + 6; a = r + 17; w = j + 2; h = j + 7. If j = 4, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = p + 7 to b, which gives b = p + 15.\n2. Substitute p = a + 1 to b, which gives b = a + 16.\n3. Substitute a = r + 17 to b, which gives b = r + 33.\n4. Substitute r = h + 2 to b, which gives b = h + 35.\n5. Substitute h = j + 7 to b, which gives b = j + 42.\n6. Substitute j = 4 to b, which gives b = 46.\n\nThus, the final answer is b = \\boxed{46}.",
"index": 10393,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = m + 6; d = n + 2; n = e + 5; b = i + 8; r = h + 2; i = p + 7; p = a + 1; j = 4; m = w + 8; y = d + 6; a = r + 17; w = j + 2; h = j + 7. If j = 4, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"x": "z + 14", "v": "x + 10", "n": "v + 2", "k": "n + 5", "p": "k + 5", "r": "p + 19", "g": "z + 14", "d": "g + 16", "j": "d + 15", "e": "j + 13", "s": "e + 6", "a": "s + 3", "z": 8}, "premises": {"z": 8}, "target": "r"}, "answer": {"steps": [["p", "k + 5", "k + 24"], ["k", "n + 5", "n + 29"], ["n", "v + 2", "v + 31"], ["v", "x + 10", "x + 41"], ["x", "z + 14", "z + 55"], ["z", 8, "63"]], "target_var_name": "r", "target_value": 63, "value_dict": {"z": 8}, "is_reverse": true}} | 10,394 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = j + 13; d = g + 16; z = 8; s = e + 6; r = p + 19; j = d + 15; n = v + 2; k = n + 5; g = z + 14; x = z + 14; p = k + 5; v = x + 10; a = s + 3. If z = 8, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = k + 5 to r, which gives r = k + 24.\n2. Substitute k = n + 5 to r, which gives r = n + 29.\n3. Substitute n = v + 2 to r, which gives r = v + 31.\n4. Substitute v = x + 10 to r, which gives r = x + 41.\n5. Substitute x = z + 14 to r, which gives r = z + 55.\n6. Substitute z = 8 to r, which gives r = 63.\n\nThus, the final answer is r = \\boxed{63}.",
"index": 10394,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = j + 13; d = g + 16; z = 8; s = e + 6; r = p + 19; j = d + 15; n = v + 2; k = n + 5; g = z + 14; x = z + 14; p = k + 5; v = x + 10; a = s + 3. If z = 8, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"o": "p + 11", "z": "o + 20", "y": "z + 6", "l": "y + 4", "a": "l + 8", "d": "a + 10", "c": "p + 8", "s": "c + 19", "e": "s + 5", "t": "e + 12", "b": "t + 11", "g": "b + 18", "p": 13}, "premises": {"p": 13}, "target": "d"}, "answer": {"steps": [["a", "l + 8", "l + 18"], ["l", "y + 4", "y + 22"], ["y", "z + 6", "z + 28"], ["z", "o + 20", "o + 48"], ["o", "p + 11", "p + 59"], ["p", 13, "72"]], "target_var_name": "d", "target_value": 72, "value_dict": {"p": 13}, "is_reverse": true}} | 10,395 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = t + 11; c = p + 8; p = 13; z = o + 20; y = z + 6; g = b + 18; d = a + 10; o = p + 11; e = s + 5; t = e + 12; a = l + 8; s = c + 19; l = y + 4. If p = 13, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = l + 8 to d, which gives d = l + 18.\n2. Substitute l = y + 4 to d, which gives d = y + 22.\n3. Substitute y = z + 6 to d, which gives d = z + 28.\n4. Substitute z = o + 20 to d, which gives d = o + 48.\n5. Substitute o = p + 11 to d, which gives d = p + 59.\n6. Substitute p = 13 to d, which gives d = 72.\n\nThus, the final answer is d = \\boxed{72}.",
"index": 10395,
"question": "Consider a system of variables where each variable is defined as follows: b = t + 11; c = p + 8; p = 13; z = o + 20; y = z + 6; g = b + 18; d = a + 10; o = p + 11; e = s + 5; t = e + 12; a = l + 8; s = c + 19; l = y + 4. If p = 13, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"m": "t + 16", "a": "m + 9", "r": "a + 19", "n": "r + 12", "z": "n + 6", "y": "z + 8", "b": "t + 4", "v": "b + 9", "c": "v + 6", "j": "c + 11", "x": "j + 3", "s": "x + 16", "t": 20}, "premises": {"t": 20}, "target": "y"}, "answer": {"steps": [["z", "n + 6", "n + 14"], ["n", "r + 12", "r + 26"], ["r", "a + 19", "a + 45"], ["a", "m + 9", "m + 54"], ["m", "t + 16", "t + 70"], ["t", 20, "90"]], "target_var_name": "y", "target_value": 90, "value_dict": {"t": 20}, "is_reverse": true}} | 10,396 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = r + 12; x = j + 3; y = z + 8; r = a + 19; z = n + 6; v = b + 9; a = m + 9; t = 20; m = t + 16; c = v + 6; j = c + 11; b = t + 4; s = x + 16. Given that t = 20, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = n + 6 to y, which gives y = n + 14.\n2. Substitute n = r + 12 to y, which gives y = r + 26.\n3. Substitute r = a + 19 to y, which gives y = a + 45.\n4. Substitute a = m + 9 to y, which gives y = m + 54.\n5. Substitute m = t + 16 to y, which gives y = t + 70.\n6. Substitute t = 20 to y, which gives y = 90.\n\nThus, the final answer is y = \\boxed{90}.",
"index": 10396,
"question": "Suppose a collection of variables is related by the following definitions: n = r + 12; x = j + 3; y = z + 8; r = a + 19; z = n + 6; v = b + 9; a = m + 9; t = 20; m = t + 16; c = v + 6; j = c + 11; b = t + 4; s = x + 16. Given that t = 20, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"k": "h + 7", "b": "k + 18", "x": "b + 10", "u": "x + 11", "p": "u + 15", "q": "p + 18", "e": "h + 12", "s": "e + 2", "i": "s + 5", "w": "i + 14", "d": "w + 12", "r": "d + 16", "h": 16}, "premises": {"h": 16}, "target": "q"}, "answer": {"steps": [["p", "u + 15", "u + 33"], ["u", "x + 11", "x + 44"], ["x", "b + 10", "b + 54"], ["b", "k + 18", "k + 72"], ["k", "h + 7", "h + 79"], ["h", 16, "95"]], "target_var_name": "q", "target_value": 95, "value_dict": {"h": 16}, "is_reverse": true}} | 10,397 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = h + 12; h = 16; r = d + 16; u = x + 11; x = b + 10; p = u + 15; s = e + 2; i = s + 5; q = p + 18; w = i + 14; d = w + 12; k = h + 7; b = k + 18. Given that h = 16, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = u + 15 to q, which gives q = u + 33.\n2. Substitute u = x + 11 to q, which gives q = x + 44.\n3. Substitute x = b + 10 to q, which gives q = b + 54.\n4. Substitute b = k + 18 to q, which gives q = k + 72.\n5. Substitute k = h + 7 to q, which gives q = h + 79.\n6. Substitute h = 16 to q, which gives q = 95.\n\nThus, the final answer is q = \\boxed{95}.",
"index": 10397,
"question": "Suppose a collection of variables is related by the following definitions: e = h + 12; h = 16; r = d + 16; u = x + 11; x = b + 10; p = u + 15; s = e + 2; i = s + 5; q = p + 18; w = i + 14; d = w + 12; k = h + 7; b = k + 18. Given that h = 16, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"m": "t + 7", "v": "m + 13", "r": "v + 10", "g": "r + 4", "q": "g + 5", "e": "q + 16", "b": "t + 20", "s": "b + 15", "k": "s + 13", "o": "k + 16", "p": "o + 12", "w": "p + 11", "t": 16}, "premises": {"t": 16}, "target": "e"}, "answer": {"steps": [["q", "g + 5", "g + 21"], ["g", "r + 4", "r + 25"], ["r", "v + 10", "v + 35"], ["v", "m + 13", "m + 48"], ["m", "t + 7", "t + 55"], ["t", 16, "71"]], "target_var_name": "e", "target_value": 71, "value_dict": {"t": 16}, "is_reverse": true}} | 10,398 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = s + 13; g = r + 4; v = m + 13; s = b + 15; b = t + 20; q = g + 5; e = q + 16; o = k + 16; p = o + 12; t = 16; w = p + 11; r = v + 10; m = t + 7. If t = 16, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = g + 5 to e, which gives e = g + 21.\n2. Substitute g = r + 4 to e, which gives e = r + 25.\n3. Substitute r = v + 10 to e, which gives e = v + 35.\n4. Substitute v = m + 13 to e, which gives e = m + 48.\n5. Substitute m = t + 7 to e, which gives e = t + 55.\n6. Substitute t = 16 to e, which gives e = 71.\n\nThus, the final answer is e = \\boxed{71}.",
"index": 10398,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = s + 13; g = r + 4; v = m + 13; s = b + 15; b = t + 20; q = g + 5; e = q + 16; o = k + 16; p = o + 12; t = 16; w = p + 11; r = v + 10; m = t + 7. If t = 16, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"i": "x + 10", "b": "i + 17", "s": "b + 13", "r": "s + 17", "l": "r + 20", "p": "l + 14", "z": "x + 16", "k": "z + 2", "f": "k + 20", "a": "f + 6", "q": "a + 20", "t": "q + 4", "x": 6}, "premises": {"x": 6}, "target": "p"}, "answer": {"steps": [["l", "r + 20", "r + 34"], ["r", "s + 17", "s + 51"], ["s", "b + 13", "b + 64"], ["b", "i + 17", "i + 81"], ["i", "x + 10", "x + 91"], ["x", 6, "97"]], "target_var_name": "p", "target_value": 97, "value_dict": {"x": 6}, "is_reverse": true}} | 10,399 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = x + 16; x = 6; r = s + 17; t = q + 4; p = l + 14; b = i + 17; k = z + 2; l = r + 20; s = b + 13; i = x + 10; f = k + 20; q = a + 20; a = f + 6. If x = 6, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = r + 20 to p, which gives p = r + 34.\n2. Substitute r = s + 17 to p, which gives p = s + 51.\n3. Substitute s = b + 13 to p, which gives p = b + 64.\n4. Substitute b = i + 17 to p, which gives p = i + 81.\n5. Substitute i = x + 10 to p, which gives p = x + 91.\n6. Substitute x = 6 to p, which gives p = 97.\n\nThus, the final answer is p = \\boxed{97}.",
"index": 10399,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = x + 16; x = 6; r = s + 17; t = q + 4; p = l + 14; b = i + 17; k = z + 2; l = r + 20; s = b + 13; i = x + 10; f = k + 20; q = a + 20; a = f + 6. If x = 6, what is the resulting value of p?",
"split": "train"
} |
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