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": {"p": "e + 11", "z": "p + 15", "w": "z + 2", "b": "w + 17", "f": "b + 16", "d": "f + 12", "y": "e + 16", "x": "y + 20", "n": "x + 18", "q": "n + 9", "s": "q + 9", "m": "s + 20", "e": 9}, "premises": {"e": 9}, "target": "d"}, "answer": {"steps": [["f", "b + 16", "b + 28"], ["b", "w + 17", "w + 45"], ["w", "z + 2", "z + 47"], ["z", "p + 15", "p + 62"], ["p", "e + 11", "e + 73"], ["e", 9, "82"]], "target_var_name": "d", "target_value": 82, "value_dict": {"e": 9}, "is_reverse": true}} | 15,500 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = b + 16; y = e + 16; e = 9; s = q + 9; q = n + 9; w = z + 2; p = e + 11; x = y + 20; n = x + 18; m = s + 20; b = w + 17; d = f + 12; z = p + 15. Given that e = 9, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = b + 16 to d, which gives d = b + 28.\n2. Substitute b = w + 17 to d, which gives d = w + 45.\n3. Substitute w = z + 2 to d, which gives d = z + 47.\n4. Substitute z = p + 15 to d, which gives d = p + 62.\n5. Substitute p = e + 11 to d, which gives d = e + 73.\n6. Substitute e = 9 to d, which gives d = 82.\n\nThus, the final answer is d = \\boxed{82}.",
"index": 15500,
"question": "Suppose a collection of variables is related by the following definitions: f = b + 16; y = e + 16; e = 9; s = q + 9; q = n + 9; w = z + 2; p = e + 11; x = y + 20; n = x + 18; m = s + 20; b = w + 17; d = f + 12; z = p + 15. Given that e = 9, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"d": "c + 5", "n": "d + 13", "r": "n + 4", "v": "r + 9", "a": "v + 2", "s": "a + 9", "l": "c + 15", "t": "l + 10", "f": "t + 15", "m": "f + 13", "j": "m + 9", "g": "j + 5", "c": 4}, "premises": {"c": 4}, "target": "s"}, "answer": {"steps": [["a", "v + 2", "v + 11"], ["v", "r + 9", "r + 20"], ["r", "n + 4", "n + 24"], ["n", "d + 13", "d + 37"], ["d", "c + 5", "c + 42"], ["c", 4, "46"]], "target_var_name": "s", "target_value": 46, "value_dict": {"c": 4}, "is_reverse": true}} | 15,501 | 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 = m + 9; r = n + 4; d = c + 5; c = 4; n = d + 13; v = r + 9; t = l + 10; m = f + 13; f = t + 15; s = a + 9; g = j + 5; a = v + 2; l = c + 15. If c = 4, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = v + 2 to s, which gives s = v + 11.\n2. Substitute v = r + 9 to s, which gives s = r + 20.\n3. Substitute r = n + 4 to s, which gives s = n + 24.\n4. Substitute n = d + 13 to s, which gives s = d + 37.\n5. Substitute d = c + 5 to s, which gives s = c + 42.\n6. Substitute c = 4 to s, which gives s = 46.\n\nThus, the final answer is s = \\boxed{46}.",
"index": 15501,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = m + 9; r = n + 4; d = c + 5; c = 4; n = d + 13; v = r + 9; t = l + 10; m = f + 13; f = t + 15; s = a + 9; g = j + 5; a = v + 2; l = c + 15. If c = 4, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"r": "q + 19", "c": "r + 8", "d": "c + 18", "b": "d + 9", "m": "b + 18", "k": "m + 9", "o": "q + 3", "h": "o + 20", "w": "h + 2", "f": "w + 18", "n": "f + 8", "s": "n + 13", "q": 8}, "premises": {"q": 8}, "target": "k"}, "answer": {"steps": [["m", "b + 18", "b + 27"], ["b", "d + 9", "d + 36"], ["d", "c + 18", "c + 54"], ["c", "r + 8", "r + 62"], ["r", "q + 19", "q + 81"], ["q", 8, "89"]], "target_var_name": "k", "target_value": 89, "value_dict": {"q": 8}, "is_reverse": true}} | 15,502 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = f + 8; s = n + 13; w = h + 2; q = 8; k = m + 9; h = o + 20; f = w + 18; b = d + 9; c = r + 8; d = c + 18; o = q + 3; m = b + 18; r = q + 19. Given that q = 8, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = b + 18 to k, which gives k = b + 27.\n2. Substitute b = d + 9 to k, which gives k = d + 36.\n3. Substitute d = c + 18 to k, which gives k = c + 54.\n4. Substitute c = r + 8 to k, which gives k = r + 62.\n5. Substitute r = q + 19 to k, which gives k = q + 81.\n6. Substitute q = 8 to k, which gives k = 89.\n\nThus, the final answer is k = \\boxed{89}.",
"index": 15502,
"question": "Suppose a collection of variables is related by the following definitions: n = f + 8; s = n + 13; w = h + 2; q = 8; k = m + 9; h = o + 20; f = w + 18; b = d + 9; c = r + 8; d = c + 18; o = q + 3; m = b + 18; r = q + 19. Given that q = 8, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"w": "b + 3", "v": "w + 16", "e": "v + 15", "t": "e + 19", "a": "t + 7", "g": "a + 20", "k": "b + 16", "n": "k + 11", "d": "n + 3", "m": "d + 2", "s": "m + 18", "u": "s + 7", "b": 16}, "premises": {"b": 16}, "target": "g"}, "answer": {"steps": [["a", "t + 7", "t + 27"], ["t", "e + 19", "e + 46"], ["e", "v + 15", "v + 61"], ["v", "w + 16", "w + 77"], ["w", "b + 3", "b + 80"], ["b", 16, "96"]], "target_var_name": "g", "target_value": 96, "value_dict": {"b": 16}, "is_reverse": true}} | 15,503 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = a + 20; w = b + 3; n = k + 11; u = s + 7; v = w + 16; e = v + 15; a = t + 7; m = d + 2; t = e + 19; b = 16; d = n + 3; s = m + 18; k = b + 16. Given that b = 16, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = t + 7 to g, which gives g = t + 27.\n2. Substitute t = e + 19 to g, which gives g = e + 46.\n3. Substitute e = v + 15 to g, which gives g = v + 61.\n4. Substitute v = w + 16 to g, which gives g = w + 77.\n5. Substitute w = b + 3 to g, which gives g = b + 80.\n6. Substitute b = 16 to g, which gives g = 96.\n\nThus, the final answer is g = \\boxed{96}.",
"index": 15503,
"question": "Suppose a collection of variables is related by the following definitions: g = a + 20; w = b + 3; n = k + 11; u = s + 7; v = w + 16; e = v + 15; a = t + 7; m = d + 2; t = e + 19; b = 16; d = n + 3; s = m + 18; k = b + 16. Given that b = 16, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"v": "r + 2", "g": "v + 7", "z": "g + 5", "m": "z + 1", "k": "m + 10", "c": "k + 9", "w": "r + 2", "l": "w + 13", "s": "l + 5", "y": "s + 16", "p": "y + 5", "e": "p + 14", "r": 9}, "premises": {"r": 9}, "target": "c"}, "answer": {"steps": [["k", "m + 10", "m + 19"], ["m", "z + 1", "z + 20"], ["z", "g + 5", "g + 25"], ["g", "v + 7", "v + 32"], ["v", "r + 2", "r + 34"], ["r", 9, "43"]], "target_var_name": "c", "target_value": 43, "value_dict": {"r": 9}, "is_reverse": true}} | 15,504 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = s + 16; w = r + 2; e = p + 14; p = y + 5; s = l + 5; v = r + 2; k = m + 10; l = w + 13; r = 9; m = z + 1; g = v + 7; z = g + 5; c = k + 9. If r = 9, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = m + 10 to c, which gives c = m + 19.\n2. Substitute m = z + 1 to c, which gives c = z + 20.\n3. Substitute z = g + 5 to c, which gives c = g + 25.\n4. Substitute g = v + 7 to c, which gives c = v + 32.\n5. Substitute v = r + 2 to c, which gives c = r + 34.\n6. Substitute r = 9 to c, which gives c = 43.\n\nThus, the final answer is c = \\boxed{43}.",
"index": 15504,
"question": "Consider a system of variables where each variable is defined as follows: y = s + 16; w = r + 2; e = p + 14; p = y + 5; s = l + 5; v = r + 2; k = m + 10; l = w + 13; r = 9; m = z + 1; g = v + 7; z = g + 5; c = k + 9. If r = 9, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"u": "k + 9", "p": "u + 18", "x": "p + 10", "n": "x + 4", "d": "n + 13", "g": "d + 16", "i": "k + 11", "y": "i + 5", "z": "y + 12", "v": "z + 12", "a": "v + 20", "r": "a + 12", "k": 17}, "premises": {"k": 17}, "target": "g"}, "answer": {"steps": [["d", "n + 13", "n + 29"], ["n", "x + 4", "x + 33"], ["x", "p + 10", "p + 43"], ["p", "u + 18", "u + 61"], ["u", "k + 9", "k + 70"], ["k", 17, "87"]], "target_var_name": "g", "target_value": 87, "value_dict": {"k": 17}, "is_reverse": true}} | 15,505 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = k + 9; r = a + 12; a = v + 20; g = d + 16; d = n + 13; x = p + 10; v = z + 12; i = k + 11; y = i + 5; z = y + 12; n = x + 4; k = 17; p = u + 18. If k = 17, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = n + 13 to g, which gives g = n + 29.\n2. Substitute n = x + 4 to g, which gives g = x + 33.\n3. Substitute x = p + 10 to g, which gives g = p + 43.\n4. Substitute p = u + 18 to g, which gives g = u + 61.\n5. Substitute u = k + 9 to g, which gives g = k + 70.\n6. Substitute k = 17 to g, which gives g = 87.\n\nThus, the final answer is g = \\boxed{87}.",
"index": 15505,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = k + 9; r = a + 12; a = v + 20; g = d + 16; d = n + 13; x = p + 10; v = z + 12; i = k + 11; y = i + 5; z = y + 12; n = x + 4; k = 17; p = u + 18. If k = 17, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"y": "t + 10", "u": "y + 18", "h": "u + 17", "c": "h + 1", "o": "c + 17", "d": "o + 20", "n": "t + 9", "k": "n + 18", "p": "k + 8", "z": "p + 9", "q": "z + 6", "g": "q + 18", "t": 16}, "premises": {"t": 16}, "target": "d"}, "answer": {"steps": [["o", "c + 17", "c + 37"], ["c", "h + 1", "h + 38"], ["h", "u + 17", "u + 55"], ["u", "y + 18", "y + 73"], ["y", "t + 10", "t + 83"], ["t", 16, "99"]], "target_var_name": "d", "target_value": 99, "value_dict": {"t": 16}, "is_reverse": true}} | 15,506 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = z + 6; o = c + 17; u = y + 18; y = t + 10; t = 16; c = h + 1; p = k + 8; d = o + 20; z = p + 9; k = n + 18; n = t + 9; h = u + 17; g = q + 18. Given that t = 16, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = c + 17 to d, which gives d = c + 37.\n2. Substitute c = h + 1 to d, which gives d = h + 38.\n3. Substitute h = u + 17 to d, which gives d = u + 55.\n4. Substitute u = y + 18 to d, which gives d = y + 73.\n5. Substitute y = t + 10 to d, which gives d = t + 83.\n6. Substitute t = 16 to d, which gives d = 99.\n\nThus, the final answer is d = \\boxed{99}.",
"index": 15506,
"question": "Suppose a collection of variables is related by the following definitions: q = z + 6; o = c + 17; u = y + 18; y = t + 10; t = 16; c = h + 1; p = k + 8; d = o + 20; z = p + 9; k = n + 18; n = t + 9; h = u + 17; g = q + 18. Given that t = 16, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"l": "x + 1", "j": "l + 20", "w": "j + 15", "h": "w + 9", "b": "h + 5", "u": "b + 20", "f": "x + 13", "d": "f + 11", "k": "d + 15", "g": "k + 7", "y": "g + 15", "e": "y + 5", "x": 20}, "premises": {"x": 20}, "target": "u"}, "answer": {"steps": [["b", "h + 5", "h + 25"], ["h", "w + 9", "w + 34"], ["w", "j + 15", "j + 49"], ["j", "l + 20", "l + 69"], ["l", "x + 1", "x + 70"], ["x", 20, "90"]], "target_var_name": "u", "target_value": 90, "value_dict": {"x": 20}, "is_reverse": true}} | 15,507 | 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 = w + 9; l = x + 1; d = f + 11; f = x + 13; g = k + 7; x = 20; u = b + 20; y = g + 15; e = y + 5; k = d + 15; w = j + 15; b = h + 5; j = l + 20. If x = 20, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = h + 5 to u, which gives u = h + 25.\n2. Substitute h = w + 9 to u, which gives u = w + 34.\n3. Substitute w = j + 15 to u, which gives u = j + 49.\n4. Substitute j = l + 20 to u, which gives u = l + 69.\n5. Substitute l = x + 1 to u, which gives u = x + 70.\n6. Substitute x = 20 to u, which gives u = 90.\n\nThus, the final answer is u = \\boxed{90}.",
"index": 15507,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = w + 9; l = x + 1; d = f + 11; f = x + 13; g = k + 7; x = 20; u = b + 20; y = g + 15; e = y + 5; k = d + 15; w = j + 15; b = h + 5; j = l + 20. If x = 20, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"f": "j + 17", "r": "f + 4", "o": "r + 15", "m": "o + 4", "w": "m + 10", "l": "w + 16", "k": "j + 15", "v": "k + 15", "c": "v + 11", "u": "c + 1", "a": "u + 19", "t": "a + 4", "j": 17}, "premises": {"j": 17}, "target": "l"}, "answer": {"steps": [["w", "m + 10", "m + 26"], ["m", "o + 4", "o + 30"], ["o", "r + 15", "r + 45"], ["r", "f + 4", "f + 49"], ["f", "j + 17", "j + 66"], ["j", 17, "83"]], "target_var_name": "l", "target_value": 83, "value_dict": {"j": 17}, "is_reverse": true}} | 15,508 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = j + 15; f = j + 17; w = m + 10; r = f + 4; u = c + 1; t = a + 4; o = r + 15; c = v + 11; m = o + 4; v = k + 15; a = u + 19; j = 17; l = w + 16. Given that j = 17, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = m + 10 to l, which gives l = m + 26.\n2. Substitute m = o + 4 to l, which gives l = o + 30.\n3. Substitute o = r + 15 to l, which gives l = r + 45.\n4. Substitute r = f + 4 to l, which gives l = f + 49.\n5. Substitute f = j + 17 to l, which gives l = j + 66.\n6. Substitute j = 17 to l, which gives l = 83.\n\nThus, the final answer is l = \\boxed{83}.",
"index": 15508,
"question": "Suppose a collection of variables is related by the following definitions: k = j + 15; f = j + 17; w = m + 10; r = f + 4; u = c + 1; t = a + 4; o = r + 15; c = v + 11; m = o + 4; v = k + 15; a = u + 19; j = 17; l = w + 16. Given that j = 17, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"w": "k + 6", "d": "w + 17", "h": "d + 7", "n": "h + 10", "i": "n + 13", "j": "i + 2", "g": "k + 20", "e": "g + 19", "q": "e + 3", "r": "q + 12", "o": "r + 15", "t": "o + 18", "k": 6}, "premises": {"k": 6}, "target": "j"}, "answer": {"steps": [["i", "n + 13", "n + 15"], ["n", "h + 10", "h + 25"], ["h", "d + 7", "d + 32"], ["d", "w + 17", "w + 49"], ["w", "k + 6", "k + 55"], ["k", 6, "61"]], "target_var_name": "j", "target_value": 61, "value_dict": {"k": 6}, "is_reverse": true}} | 15,509 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = w + 17; h = d + 7; r = q + 12; k = 6; n = h + 10; q = e + 3; i = n + 13; e = g + 19; w = k + 6; j = i + 2; t = o + 18; o = r + 15; g = k + 20. If k = 6, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = n + 13 to j, which gives j = n + 15.\n2. Substitute n = h + 10 to j, which gives j = h + 25.\n3. Substitute h = d + 7 to j, which gives j = d + 32.\n4. Substitute d = w + 17 to j, which gives j = w + 49.\n5. Substitute w = k + 6 to j, which gives j = k + 55.\n6. Substitute k = 6 to j, which gives j = 61.\n\nThus, the final answer is j = \\boxed{61}.",
"index": 15509,
"question": "Consider a system of variables where each variable is defined as follows: d = w + 17; h = d + 7; r = q + 12; k = 6; n = h + 10; q = e + 3; i = n + 13; e = g + 19; w = k + 6; j = i + 2; t = o + 18; o = r + 15; g = k + 20. If k = 6, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"y": "i + 16", "z": "y + 19", "c": "z + 11", "a": "c + 4", "k": "a + 5", "o": "k + 14", "f": "i + 7", "h": "f + 14", "u": "h + 4", "v": "u + 11", "d": "v + 11", "g": "d + 9", "i": 3}, "premises": {"i": 3}, "target": "o"}, "answer": {"steps": [["k", "a + 5", "a + 19"], ["a", "c + 4", "c + 23"], ["c", "z + 11", "z + 34"], ["z", "y + 19", "y + 53"], ["y", "i + 16", "i + 69"], ["i", 3, "72"]], "target_var_name": "o", "target_value": 72, "value_dict": {"i": 3}, "is_reverse": true}} | 15,510 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = c + 4; c = z + 11; f = i + 7; i = 3; v = u + 11; h = f + 14; z = y + 19; u = h + 4; g = d + 9; y = i + 16; o = k + 14; k = a + 5; d = v + 11. If i = 3, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = a + 5 to o, which gives o = a + 19.\n2. Substitute a = c + 4 to o, which gives o = c + 23.\n3. Substitute c = z + 11 to o, which gives o = z + 34.\n4. Substitute z = y + 19 to o, which gives o = y + 53.\n5. Substitute y = i + 16 to o, which gives o = i + 69.\n6. Substitute i = 3 to o, which gives o = 72.\n\nThus, the final answer is o = \\boxed{72}.",
"index": 15510,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = c + 4; c = z + 11; f = i + 7; i = 3; v = u + 11; h = f + 14; z = y + 19; u = h + 4; g = d + 9; y = i + 16; o = k + 14; k = a + 5; d = v + 11. If i = 3, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"w": "y + 11", "n": "w + 4", "s": "n + 5", "z": "s + 20", "d": "z + 16", "a": "d + 17", "j": "y + 11", "p": "j + 5", "c": "p + 3", "f": "c + 7", "b": "f + 8", "k": "b + 12", "y": 8}, "premises": {"y": 8}, "target": "a"}, "answer": {"steps": [["d", "z + 16", "z + 33"], ["z", "s + 20", "s + 53"], ["s", "n + 5", "n + 58"], ["n", "w + 4", "w + 62"], ["w", "y + 11", "y + 73"], ["y", 8, "81"]], "target_var_name": "a", "target_value": 81, "value_dict": {"y": 8}, "is_reverse": true}} | 15,511 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = f + 8; p = j + 5; f = c + 7; n = w + 4; w = y + 11; s = n + 5; c = p + 3; j = y + 11; d = z + 16; k = b + 12; z = s + 20; a = d + 17; y = 8. Given that y = 8, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = z + 16 to a, which gives a = z + 33.\n2. Substitute z = s + 20 to a, which gives a = s + 53.\n3. Substitute s = n + 5 to a, which gives a = n + 58.\n4. Substitute n = w + 4 to a, which gives a = w + 62.\n5. Substitute w = y + 11 to a, which gives a = y + 73.\n6. Substitute y = 8 to a, which gives a = 81.\n\nThus, the final answer is a = \\boxed{81}.",
"index": 15511,
"question": "Suppose a collection of variables is related by the following definitions: b = f + 8; p = j + 5; f = c + 7; n = w + 4; w = y + 11; s = n + 5; c = p + 3; j = y + 11; d = z + 16; k = b + 12; z = s + 20; a = d + 17; y = 8. Given that y = 8, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"e": "d + 4", "c": "e + 12", "q": "c + 20", "i": "q + 19", "o": "i + 19", "s": "o + 13", "g": "d + 13", "b": "g + 14", "r": "b + 3", "k": "r + 15", "t": "k + 15", "l": "t + 11", "d": 11}, "premises": {"d": 11}, "target": "s"}, "answer": {"steps": [["o", "i + 19", "i + 32"], ["i", "q + 19", "q + 51"], ["q", "c + 20", "c + 71"], ["c", "e + 12", "e + 83"], ["e", "d + 4", "d + 87"], ["d", 11, "98"]], "target_var_name": "s", "target_value": 98, "value_dict": {"d": 11}, "is_reverse": true}} | 15,512 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = q + 19; b = g + 14; q = c + 20; s = o + 13; e = d + 4; d = 11; g = d + 13; c = e + 12; l = t + 11; o = i + 19; t = k + 15; r = b + 3; k = r + 15. If d = 11, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = i + 19 to s, which gives s = i + 32.\n2. Substitute i = q + 19 to s, which gives s = q + 51.\n3. Substitute q = c + 20 to s, which gives s = c + 71.\n4. Substitute c = e + 12 to s, which gives s = e + 83.\n5. Substitute e = d + 4 to s, which gives s = d + 87.\n6. Substitute d = 11 to s, which gives s = 98.\n\nThus, the final answer is s = \\boxed{98}.",
"index": 15512,
"question": "Consider a system of variables where each variable is defined as follows: i = q + 19; b = g + 14; q = c + 20; s = o + 13; e = d + 4; d = 11; g = d + 13; c = e + 12; l = t + 11; o = i + 19; t = k + 15; r = b + 3; k = r + 15. If d = 11, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"c": "f + 3", "o": "c + 16", "b": "o + 20", "v": "b + 18", "y": "v + 8", "l": "y + 18", "i": "f + 16", "d": "i + 2", "z": "d + 18", "h": "z + 9", "n": "h + 8", "j": "n + 18", "f": 11}, "premises": {"f": 11}, "target": "l"}, "answer": {"steps": [["y", "v + 8", "v + 26"], ["v", "b + 18", "b + 44"], ["b", "o + 20", "o + 64"], ["o", "c + 16", "c + 80"], ["c", "f + 3", "f + 83"], ["f", 11, "94"]], "target_var_name": "l", "target_value": 94, "value_dict": {"f": 11}, "is_reverse": true}} | 15,513 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = y + 18; b = o + 20; o = c + 16; j = n + 18; i = f + 16; y = v + 8; f = 11; z = d + 18; n = h + 8; h = z + 9; d = i + 2; c = f + 3; v = b + 18. If f = 11, determine 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 y = v + 8 to l, which gives l = v + 26.\n2. Substitute v = b + 18 to l, which gives l = b + 44.\n3. Substitute b = o + 20 to l, which gives l = o + 64.\n4. Substitute o = c + 16 to l, which gives l = c + 80.\n5. Substitute c = f + 3 to l, which gives l = f + 83.\n6. Substitute f = 11 to l, which gives l = 94.\n\nThus, the final answer is l = \\boxed{94}.",
"index": 15513,
"question": "Consider a system of variables where each variable is defined as follows: l = y + 18; b = o + 20; o = c + 16; j = n + 18; i = f + 16; y = v + 8; f = 11; z = d + 18; n = h + 8; h = z + 9; d = i + 2; c = f + 3; v = b + 18. If f = 11, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"o": "j + 7", "v": "o + 5", "h": "v + 15", "l": "h + 10", "m": "l + 14", "n": "m + 2", "z": "j + 17", "k": "z + 14", "u": "k + 12", "d": "u + 13", "e": "d + 15", "x": "e + 9", "j": 15}, "premises": {"j": 15}, "target": "n"}, "answer": {"steps": [["m", "l + 14", "l + 16"], ["l", "h + 10", "h + 26"], ["h", "v + 15", "v + 41"], ["v", "o + 5", "o + 46"], ["o", "j + 7", "j + 53"], ["j", 15, "68"]], "target_var_name": "n", "target_value": 68, "value_dict": {"j": 15}, "is_reverse": true}} | 15,514 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = k + 12; x = e + 9; z = j + 17; e = d + 15; l = h + 10; m = l + 14; v = o + 5; j = 15; o = j + 7; h = v + 15; d = u + 13; n = m + 2; k = z + 14. If j = 15, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = l + 14 to n, which gives n = l + 16.\n2. Substitute l = h + 10 to n, which gives n = h + 26.\n3. Substitute h = v + 15 to n, which gives n = v + 41.\n4. Substitute v = o + 5 to n, which gives n = o + 46.\n5. Substitute o = j + 7 to n, which gives n = j + 53.\n6. Substitute j = 15 to n, which gives n = 68.\n\nThus, the final answer is n = \\boxed{68}.",
"index": 15514,
"question": "Consider a system of variables where each variable is defined as follows: u = k + 12; x = e + 9; z = j + 17; e = d + 15; l = h + 10; m = l + 14; v = o + 5; j = 15; o = j + 7; h = v + 15; d = u + 13; n = m + 2; k = z + 14. If j = 15, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"q": "p + 14", "a": "q + 10", "w": "a + 2", "x": "w + 3", "s": "x + 7", "h": "s + 5", "m": "p + 18", "t": "m + 17", "c": "t + 11", "k": "c + 19", "v": "k + 8", "r": "v + 14", "p": 7}, "premises": {"p": 7}, "target": "h"}, "answer": {"steps": [["s", "x + 7", "x + 12"], ["x", "w + 3", "w + 15"], ["w", "a + 2", "a + 17"], ["a", "q + 10", "q + 27"], ["q", "p + 14", "p + 41"], ["p", 7, "48"]], "target_var_name": "h", "target_value": 48, "value_dict": {"p": 7}, "is_reverse": true}} | 15,515 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = k + 8; r = v + 14; h = s + 5; q = p + 14; w = a + 2; t = m + 17; m = p + 18; k = c + 19; x = w + 3; p = 7; c = t + 11; a = q + 10; s = x + 7. If p = 7, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = x + 7 to h, which gives h = x + 12.\n2. Substitute x = w + 3 to h, which gives h = w + 15.\n3. Substitute w = a + 2 to h, which gives h = a + 17.\n4. Substitute a = q + 10 to h, which gives h = q + 27.\n5. Substitute q = p + 14 to h, which gives h = p + 41.\n6. Substitute p = 7 to h, which gives h = 48.\n\nThus, the final answer is h = \\boxed{48}.",
"index": 15515,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = k + 8; r = v + 14; h = s + 5; q = p + 14; w = a + 2; t = m + 17; m = p + 18; k = c + 19; x = w + 3; p = 7; c = t + 11; a = q + 10; s = x + 7. If p = 7, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"x": "q + 8", "y": "x + 10", "d": "y + 6", "b": "d + 6", "s": "b + 10", "l": "s + 19", "k": "q + 20", "t": "k + 1", "a": "t + 9", "o": "a + 13", "m": "o + 11", "w": "m + 10", "q": 2}, "premises": {"q": 2}, "target": "l"}, "answer": {"steps": [["s", "b + 10", "b + 29"], ["b", "d + 6", "d + 35"], ["d", "y + 6", "y + 41"], ["y", "x + 10", "x + 51"], ["x", "q + 8", "q + 59"], ["q", 2, "61"]], "target_var_name": "l", "target_value": 61, "value_dict": {"q": 2}, "is_reverse": true}} | 15,516 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = y + 6; m = o + 11; b = d + 6; q = 2; x = q + 8; s = b + 10; a = t + 9; k = q + 20; o = a + 13; w = m + 10; t = k + 1; y = x + 10; l = s + 19. Given that q = 2, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = b + 10 to l, which gives l = b + 29.\n2. Substitute b = d + 6 to l, which gives l = d + 35.\n3. Substitute d = y + 6 to l, which gives l = y + 41.\n4. Substitute y = x + 10 to l, which gives l = x + 51.\n5. Substitute x = q + 8 to l, which gives l = q + 59.\n6. Substitute q = 2 to l, which gives l = 61.\n\nThus, the final answer is l = \\boxed{61}.",
"index": 15516,
"question": "Suppose a collection of variables is related by the following definitions: d = y + 6; m = o + 11; b = d + 6; q = 2; x = q + 8; s = b + 10; a = t + 9; k = q + 20; o = a + 13; w = m + 10; t = k + 1; y = x + 10; l = s + 19. Given that q = 2, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"s": "z + 4", "p": "s + 10", "f": "p + 16", "t": "f + 17", "c": "t + 6", "q": "c + 14", "r": "z + 12", "j": "r + 19", "y": "j + 8", "o": "y + 16", "h": "o + 9", "m": "h + 10", "z": 20}, "premises": {"z": 20}, "target": "q"}, "answer": {"steps": [["c", "t + 6", "t + 20"], ["t", "f + 17", "f + 37"], ["f", "p + 16", "p + 53"], ["p", "s + 10", "s + 63"], ["s", "z + 4", "z + 67"], ["z", 20, "87"]], "target_var_name": "q", "target_value": 87, "value_dict": {"z": 20}, "is_reverse": true}} | 15,517 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = r + 19; o = y + 16; q = c + 14; y = j + 8; f = p + 16; z = 20; s = z + 4; m = h + 10; h = o + 9; r = z + 12; c = t + 6; t = f + 17; p = s + 10. If z = 20, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = t + 6 to q, which gives q = t + 20.\n2. Substitute t = f + 17 to q, which gives q = f + 37.\n3. Substitute f = p + 16 to q, which gives q = p + 53.\n4. Substitute p = s + 10 to q, which gives q = s + 63.\n5. Substitute s = z + 4 to q, which gives q = z + 67.\n6. Substitute z = 20 to q, which gives q = 87.\n\nThus, the final answer is q = \\boxed{87}.",
"index": 15517,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = r + 19; o = y + 16; q = c + 14; y = j + 8; f = p + 16; z = 20; s = z + 4; m = h + 10; h = o + 9; r = z + 12; c = t + 6; t = f + 17; p = s + 10. If z = 20, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"x": "g + 19", "a": "x + 8", "v": "a + 3", "o": "v + 19", "s": "o + 3", "c": "s + 18", "h": "g + 13", "q": "h + 3", "w": "q + 14", "f": "w + 17", "t": "f + 11", "r": "t + 15", "g": 3}, "premises": {"g": 3}, "target": "c"}, "answer": {"steps": [["s", "o + 3", "o + 21"], ["o", "v + 19", "v + 40"], ["v", "a + 3", "a + 43"], ["a", "x + 8", "x + 51"], ["x", "g + 19", "g + 70"], ["g", 3, "73"]], "target_var_name": "c", "target_value": 73, "value_dict": {"g": 3}, "is_reverse": true}} | 15,518 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = 3; a = x + 8; h = g + 13; w = q + 14; c = s + 18; r = t + 15; o = v + 19; v = a + 3; f = w + 17; x = g + 19; q = h + 3; s = o + 3; t = f + 11. Given that g = 3, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = o + 3 to c, which gives c = o + 21.\n2. Substitute o = v + 19 to c, which gives c = v + 40.\n3. Substitute v = a + 3 to c, which gives c = a + 43.\n4. Substitute a = x + 8 to c, which gives c = x + 51.\n5. Substitute x = g + 19 to c, which gives c = g + 70.\n6. Substitute g = 3 to c, which gives c = 73.\n\nThus, the final answer is c = \\boxed{73}.",
"index": 15518,
"question": "Suppose a collection of variables is related by the following definitions: g = 3; a = x + 8; h = g + 13; w = q + 14; c = s + 18; r = t + 15; o = v + 19; v = a + 3; f = w + 17; x = g + 19; q = h + 3; s = o + 3; t = f + 11. Given that g = 3, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"c": "k + 9", "q": "c + 20", "d": "q + 1", "w": "d + 10", "h": "w + 17", "z": "h + 14", "m": "k + 8", "n": "m + 11", "g": "n + 15", "t": "g + 2", "x": "t + 19", "s": "x + 19", "k": 12}, "premises": {"k": 12}, "target": "z"}, "answer": {"steps": [["h", "w + 17", "w + 31"], ["w", "d + 10", "d + 41"], ["d", "q + 1", "q + 42"], ["q", "c + 20", "c + 62"], ["c", "k + 9", "k + 71"], ["k", 12, "83"]], "target_var_name": "z", "target_value": 83, "value_dict": {"k": 12}, "is_reverse": true}} | 15,519 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = q + 1; w = d + 10; g = n + 15; x = t + 19; h = w + 17; z = h + 14; t = g + 2; c = k + 9; m = k + 8; s = x + 19; q = c + 20; k = 12; n = m + 11. If k = 12, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = w + 17 to z, which gives z = w + 31.\n2. Substitute w = d + 10 to z, which gives z = d + 41.\n3. Substitute d = q + 1 to z, which gives z = q + 42.\n4. Substitute q = c + 20 to z, which gives z = c + 62.\n5. Substitute c = k + 9 to z, which gives z = k + 71.\n6. Substitute k = 12 to z, which gives z = 83.\n\nThus, the final answer is z = \\boxed{83}.",
"index": 15519,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = q + 1; w = d + 10; g = n + 15; x = t + 19; h = w + 17; z = h + 14; t = g + 2; c = k + 9; m = k + 8; s = x + 19; q = c + 20; k = 12; n = m + 11. If k = 12, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"m": "f + 18", "e": "m + 18", "s": "e + 16", "p": "s + 8", "r": "p + 18", "l": "r + 9", "a": "f + 3", "c": "a + 14", "y": "c + 19", "b": "y + 11", "z": "b + 18", "k": "z + 8", "f": 17}, "premises": {"f": 17}, "target": "l"}, "answer": {"steps": [["r", "p + 18", "p + 27"], ["p", "s + 8", "s + 35"], ["s", "e + 16", "e + 51"], ["e", "m + 18", "m + 69"], ["m", "f + 18", "f + 87"], ["f", 17, "104"]], "target_var_name": "l", "target_value": 104, "value_dict": {"f": 17}, "is_reverse": true}} | 15,520 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = b + 18; f = 17; b = y + 11; c = a + 14; p = s + 8; a = f + 3; s = e + 16; k = z + 8; l = r + 9; y = c + 19; r = p + 18; e = m + 18; m = f + 18. If f = 17, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 104,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = p + 18 to l, which gives l = p + 27.\n2. Substitute p = s + 8 to l, which gives l = s + 35.\n3. Substitute s = e + 16 to l, which gives l = e + 51.\n4. Substitute e = m + 18 to l, which gives l = m + 69.\n5. Substitute m = f + 18 to l, which gives l = f + 87.\n6. Substitute f = 17 to l, which gives l = 104.\n\nThus, the final answer is l = \\boxed{104}.",
"index": 15520,
"question": "Consider a system of variables where each variable is defined as follows: z = b + 18; f = 17; b = y + 11; c = a + 14; p = s + 8; a = f + 3; s = e + 16; k = z + 8; l = r + 9; y = c + 19; r = p + 18; e = m + 18; m = f + 18. If f = 17, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"s": "y + 16", "q": "s + 4", "l": "q + 11", "c": "l + 2", "d": "c + 14", "n": "d + 9", "o": "y + 7", "h": "o + 16", "p": "h + 20", "u": "p + 19", "v": "u + 10", "g": "v + 17", "y": 13}, "premises": {"y": 13}, "target": "n"}, "answer": {"steps": [["d", "c + 14", "c + 23"], ["c", "l + 2", "l + 25"], ["l", "q + 11", "q + 36"], ["q", "s + 4", "s + 40"], ["s", "y + 16", "y + 56"], ["y", 13, "69"]], "target_var_name": "n", "target_value": 69, "value_dict": {"y": 13}, "is_reverse": true}} | 15,521 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = l + 2; q = s + 4; y = 13; u = p + 19; h = o + 16; v = u + 10; d = c + 14; l = q + 11; s = y + 16; o = y + 7; p = h + 20; n = d + 9; g = v + 17. If y = 13, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = c + 14 to n, which gives n = c + 23.\n2. Substitute c = l + 2 to n, which gives n = l + 25.\n3. Substitute l = q + 11 to n, which gives n = q + 36.\n4. Substitute q = s + 4 to n, which gives n = s + 40.\n5. Substitute s = y + 16 to n, which gives n = y + 56.\n6. Substitute y = 13 to n, which gives n = 69.\n\nThus, the final answer is n = \\boxed{69}.",
"index": 15521,
"question": "Consider a system of variables where each variable is defined as follows: c = l + 2; q = s + 4; y = 13; u = p + 19; h = o + 16; v = u + 10; d = c + 14; l = q + 11; s = y + 16; o = y + 7; p = h + 20; n = d + 9; g = v + 17. If y = 13, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"s": "v + 16", "r": "s + 15", "y": "r + 14", "j": "y + 16", "x": "j + 13", "o": "x + 18", "c": "v + 6", "b": "c + 7", "w": "b + 7", "f": "w + 1", "l": "f + 9", "k": "l + 18", "v": 8}, "premises": {"v": 8}, "target": "o"}, "answer": {"steps": [["x", "j + 13", "j + 31"], ["j", "y + 16", "y + 47"], ["y", "r + 14", "r + 61"], ["r", "s + 15", "s + 76"], ["s", "v + 16", "v + 92"], ["v", 8, "100"]], "target_var_name": "o", "target_value": 100, "value_dict": {"v": 8}, "is_reverse": true}} | 15,522 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = s + 15; s = v + 16; b = c + 7; o = x + 18; j = y + 16; c = v + 6; y = r + 14; w = b + 7; v = 8; k = l + 18; l = f + 9; f = w + 1; x = j + 13. Given that v = 8, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = j + 13 to o, which gives o = j + 31.\n2. Substitute j = y + 16 to o, which gives o = y + 47.\n3. Substitute y = r + 14 to o, which gives o = r + 61.\n4. Substitute r = s + 15 to o, which gives o = s + 76.\n5. Substitute s = v + 16 to o, which gives o = v + 92.\n6. Substitute v = 8 to o, which gives o = 100.\n\nThus, the final answer is o = \\boxed{100}.",
"index": 15522,
"question": "Suppose a collection of variables is related by the following definitions: r = s + 15; s = v + 16; b = c + 7; o = x + 18; j = y + 16; c = v + 6; y = r + 14; w = b + 7; v = 8; k = l + 18; l = f + 9; f = w + 1; x = j + 13. Given that v = 8, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"r": "n + 7", "f": "r + 11", "p": "f + 17", "q": "p + 1", "h": "q + 7", "m": "h + 7", "c": "n + 15", "b": "c + 8", "s": "b + 12", "x": "s + 4", "u": "x + 6", "i": "u + 14", "n": 1}, "premises": {"n": 1}, "target": "m"}, "answer": {"steps": [["h", "q + 7", "q + 14"], ["q", "p + 1", "p + 15"], ["p", "f + 17", "f + 32"], ["f", "r + 11", "r + 43"], ["r", "n + 7", "n + 50"], ["n", 1, "51"]], "target_var_name": "m", "target_value": 51, "value_dict": {"n": 1}, "is_reverse": true}} | 15,523 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = p + 1; c = n + 15; b = c + 8; x = s + 4; r = n + 7; p = f + 17; i = u + 14; s = b + 12; n = 1; u = x + 6; f = r + 11; h = q + 7; m = h + 7. If n = 1, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = q + 7 to m, which gives m = q + 14.\n2. Substitute q = p + 1 to m, which gives m = p + 15.\n3. Substitute p = f + 17 to m, which gives m = f + 32.\n4. Substitute f = r + 11 to m, which gives m = r + 43.\n5. Substitute r = n + 7 to m, which gives m = n + 50.\n6. Substitute n = 1 to m, which gives m = 51.\n\nThus, the final answer is m = \\boxed{51}.",
"index": 15523,
"question": "Consider a system of variables where each variable is defined as follows: q = p + 1; c = n + 15; b = c + 8; x = s + 4; r = n + 7; p = f + 17; i = u + 14; s = b + 12; n = 1; u = x + 6; f = r + 11; h = q + 7; m = h + 7. If n = 1, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"x": "g + 13", "y": "x + 11", "f": "y + 12", "d": "f + 3", "k": "d + 12", "v": "k + 9", "c": "g + 3", "m": "c + 11", "p": "m + 2", "s": "p + 14", "h": "s + 4", "b": "h + 9", "g": 8}, "premises": {"g": 8}, "target": "v"}, "answer": {"steps": [["k", "d + 12", "d + 21"], ["d", "f + 3", "f + 24"], ["f", "y + 12", "y + 36"], ["y", "x + 11", "x + 47"], ["x", "g + 13", "g + 60"], ["g", 8, "68"]], "target_var_name": "v", "target_value": 68, "value_dict": {"g": 8}, "is_reverse": true}} | 15,524 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = k + 9; b = h + 9; g = 8; y = x + 11; c = g + 3; s = p + 14; d = f + 3; m = c + 11; f = y + 12; x = g + 13; k = d + 12; p = m + 2; h = s + 4. If g = 8, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = d + 12 to v, which gives v = d + 21.\n2. Substitute d = f + 3 to v, which gives v = f + 24.\n3. Substitute f = y + 12 to v, which gives v = y + 36.\n4. Substitute y = x + 11 to v, which gives v = x + 47.\n5. Substitute x = g + 13 to v, which gives v = g + 60.\n6. Substitute g = 8 to v, which gives v = 68.\n\nThus, the final answer is v = \\boxed{68}.",
"index": 15524,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = k + 9; b = h + 9; g = 8; y = x + 11; c = g + 3; s = p + 14; d = f + 3; m = c + 11; f = y + 12; x = g + 13; k = d + 12; p = m + 2; h = s + 4. If g = 8, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"z": "b + 6", "t": "z + 20", "e": "t + 5", "m": "e + 8", "h": "m + 9", "j": "h + 10", "u": "b + 10", "d": "u + 11", "n": "d + 12", "y": "n + 10", "q": "y + 9", "p": "q + 7", "b": 5}, "premises": {"b": 5}, "target": "j"}, "answer": {"steps": [["h", "m + 9", "m + 19"], ["m", "e + 8", "e + 27"], ["e", "t + 5", "t + 32"], ["t", "z + 20", "z + 52"], ["z", "b + 6", "b + 58"], ["b", 5, "63"]], "target_var_name": "j", "target_value": 63, "value_dict": {"b": 5}, "is_reverse": true}} | 15,525 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = h + 10; p = q + 7; y = n + 10; h = m + 9; m = e + 8; u = b + 10; b = 5; q = y + 9; d = u + 11; n = d + 12; z = b + 6; e = t + 5; t = z + 20. If b = 5, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = m + 9 to j, which gives j = m + 19.\n2. Substitute m = e + 8 to j, which gives j = e + 27.\n3. Substitute e = t + 5 to j, which gives j = t + 32.\n4. Substitute t = z + 20 to j, which gives j = z + 52.\n5. Substitute z = b + 6 to j, which gives j = b + 58.\n6. Substitute b = 5 to j, which gives j = 63.\n\nThus, the final answer is j = \\boxed{63}.",
"index": 15525,
"question": "Consider a system of variables where each variable is defined as follows: j = h + 10; p = q + 7; y = n + 10; h = m + 9; m = e + 8; u = b + 10; b = 5; q = y + 9; d = u + 11; n = d + 12; z = b + 6; e = t + 5; t = z + 20. If b = 5, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"h": "g + 17", "z": "h + 19", "b": "z + 10", "w": "b + 16", "y": "w + 4", "o": "y + 19", "f": "g + 5", "p": "f + 5", "k": "p + 3", "a": "k + 8", "t": "a + 15", "q": "t + 7", "g": 20}, "premises": {"g": 20}, "target": "o"}, "answer": {"steps": [["y", "w + 4", "w + 23"], ["w", "b + 16", "b + 39"], ["b", "z + 10", "z + 49"], ["z", "h + 19", "h + 68"], ["h", "g + 17", "g + 85"], ["g", 20, "105"]], "target_var_name": "o", "target_value": 105, "value_dict": {"g": 20}, "is_reverse": true}} | 15,526 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = z + 10; y = w + 4; f = g + 5; q = t + 7; g = 20; p = f + 5; z = h + 19; w = b + 16; a = k + 8; o = y + 19; t = a + 15; h = g + 17; k = p + 3. If g = 20, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 105,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = w + 4 to o, which gives o = w + 23.\n2. Substitute w = b + 16 to o, which gives o = b + 39.\n3. Substitute b = z + 10 to o, which gives o = z + 49.\n4. Substitute z = h + 19 to o, which gives o = h + 68.\n5. Substitute h = g + 17 to o, which gives o = g + 85.\n6. Substitute g = 20 to o, which gives o = 105.\n\nThus, the final answer is o = \\boxed{105}.",
"index": 15526,
"question": "Consider a system of variables where each variable is defined as follows: b = z + 10; y = w + 4; f = g + 5; q = t + 7; g = 20; p = f + 5; z = h + 19; w = b + 16; a = k + 8; o = y + 19; t = a + 15; h = g + 17; k = p + 3. If g = 20, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"g": "t + 10", "d": "g + 19", "j": "d + 17", "m": "j + 16", "x": "m + 11", "c": "x + 9", "a": "t + 1", "h": "a + 2", "u": "h + 20", "z": "u + 20", "n": "z + 20", "i": "n + 1", "t": 8}, "premises": {"t": 8}, "target": "c"}, "answer": {"steps": [["x", "m + 11", "m + 20"], ["m", "j + 16", "j + 36"], ["j", "d + 17", "d + 53"], ["d", "g + 19", "g + 72"], ["g", "t + 10", "t + 82"], ["t", 8, "90"]], "target_var_name": "c", "target_value": 90, "value_dict": {"t": 8}, "is_reverse": true}} | 15,527 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = x + 9; z = u + 20; d = g + 19; h = a + 2; a = t + 1; j = d + 17; t = 8; u = h + 20; g = t + 10; n = z + 20; m = j + 16; i = n + 1; x = m + 11. If t = 8, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = m + 11 to c, which gives c = m + 20.\n2. Substitute m = j + 16 to c, which gives c = j + 36.\n3. Substitute j = d + 17 to c, which gives c = d + 53.\n4. Substitute d = g + 19 to c, which gives c = g + 72.\n5. Substitute g = t + 10 to c, which gives c = t + 82.\n6. Substitute t = 8 to c, which gives c = 90.\n\nThus, the final answer is c = \\boxed{90}.",
"index": 15527,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = x + 9; z = u + 20; d = g + 19; h = a + 2; a = t + 1; j = d + 17; t = 8; u = h + 20; g = t + 10; n = z + 20; m = j + 16; i = n + 1; x = m + 11. If t = 8, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"c": "q + 9", "w": "c + 17", "u": "w + 7", "v": "u + 7", "b": "v + 16", "a": "b + 17", "j": "q + 16", "d": "j + 10", "i": "d + 19", "f": "i + 2", "k": "f + 7", "l": "k + 9", "q": 5}, "premises": {"q": 5}, "target": "a"}, "answer": {"steps": [["b", "v + 16", "v + 33"], ["v", "u + 7", "u + 40"], ["u", "w + 7", "w + 47"], ["w", "c + 17", "c + 64"], ["c", "q + 9", "q + 73"], ["q", 5, "78"]], "target_var_name": "a", "target_value": 78, "value_dict": {"q": 5}, "is_reverse": true}} | 15,528 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = q + 9; i = d + 19; w = c + 17; j = q + 16; f = i + 2; l = k + 9; u = w + 7; k = f + 7; v = u + 7; d = j + 10; b = v + 16; a = b + 17; q = 5. If q = 5, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = v + 16 to a, which gives a = v + 33.\n2. Substitute v = u + 7 to a, which gives a = u + 40.\n3. Substitute u = w + 7 to a, which gives a = w + 47.\n4. Substitute w = c + 17 to a, which gives a = c + 64.\n5. Substitute c = q + 9 to a, which gives a = q + 73.\n6. Substitute q = 5 to a, which gives a = 78.\n\nThus, the final answer is a = \\boxed{78}.",
"index": 15528,
"question": "Consider a system of variables where each variable is defined as follows: c = q + 9; i = d + 19; w = c + 17; j = q + 16; f = i + 2; l = k + 9; u = w + 7; k = f + 7; v = u + 7; d = j + 10; b = v + 16; a = b + 17; q = 5. If q = 5, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"q": "g + 4", "l": "q + 2", "b": "l + 11", "k": "b + 9", "a": "k + 11", "d": "a + 5", "f": "g + 12", "r": "f + 12", "p": "r + 13", "m": "p + 3", "w": "m + 15", "t": "w + 10", "g": 8}, "premises": {"g": 8}, "target": "d"}, "answer": {"steps": [["a", "k + 11", "k + 16"], ["k", "b + 9", "b + 25"], ["b", "l + 11", "l + 36"], ["l", "q + 2", "q + 38"], ["q", "g + 4", "g + 42"], ["g", 8, "50"]], "target_var_name": "d", "target_value": 50, "value_dict": {"g": 8}, "is_reverse": true}} | 15,529 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = w + 10; k = b + 9; g = 8; w = m + 15; l = q + 2; q = g + 4; r = f + 12; b = l + 11; m = p + 3; p = r + 13; d = a + 5; f = g + 12; a = k + 11. If g = 8, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = k + 11 to d, which gives d = k + 16.\n2. Substitute k = b + 9 to d, which gives d = b + 25.\n3. Substitute b = l + 11 to d, which gives d = l + 36.\n4. Substitute l = q + 2 to d, which gives d = q + 38.\n5. Substitute q = g + 4 to d, which gives d = g + 42.\n6. Substitute g = 8 to d, which gives d = 50.\n\nThus, the final answer is d = \\boxed{50}.",
"index": 15529,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = w + 10; k = b + 9; g = 8; w = m + 15; l = q + 2; q = g + 4; r = f + 12; b = l + 11; m = p + 3; p = r + 13; d = a + 5; f = g + 12; a = k + 11. If g = 8, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"x": "i + 9", "v": "x + 14", "b": "v + 6", "j": "b + 9", "q": "j + 2", "t": "q + 20", "o": "i + 10", "w": "o + 13", "m": "w + 17", "g": "m + 19", "a": "g + 11", "p": "a + 17", "i": 2}, "premises": {"i": 2}, "target": "t"}, "answer": {"steps": [["q", "j + 2", "j + 22"], ["j", "b + 9", "b + 31"], ["b", "v + 6", "v + 37"], ["v", "x + 14", "x + 51"], ["x", "i + 9", "i + 60"], ["i", 2, "62"]], "target_var_name": "t", "target_value": 62, "value_dict": {"i": 2}, "is_reverse": true}} | 15,530 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = i + 9; t = q + 20; w = o + 13; v = x + 14; a = g + 11; m = w + 17; q = j + 2; j = b + 9; g = m + 19; o = i + 10; b = v + 6; p = a + 17; i = 2. Given that i = 2, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = j + 2 to t, which gives t = j + 22.\n2. Substitute j = b + 9 to t, which gives t = b + 31.\n3. Substitute b = v + 6 to t, which gives t = v + 37.\n4. Substitute v = x + 14 to t, which gives t = x + 51.\n5. Substitute x = i + 9 to t, which gives t = i + 60.\n6. Substitute i = 2 to t, which gives t = 62.\n\nThus, the final answer is t = \\boxed{62}.",
"index": 15530,
"question": "Suppose a collection of variables is related by the following definitions: x = i + 9; t = q + 20; w = o + 13; v = x + 14; a = g + 11; m = w + 17; q = j + 2; j = b + 9; g = m + 19; o = i + 10; b = v + 6; p = a + 17; i = 2. Given that i = 2, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"c": "g + 15", "q": "c + 9", "t": "q + 15", "b": "t + 18", "u": "b + 9", "y": "u + 10", "n": "g + 3", "l": "n + 8", "i": "l + 12", "k": "i + 14", "m": "k + 11", "x": "m + 3", "g": 8}, "premises": {"g": 8}, "target": "y"}, "answer": {"steps": [["u", "b + 9", "b + 19"], ["b", "t + 18", "t + 37"], ["t", "q + 15", "q + 52"], ["q", "c + 9", "c + 61"], ["c", "g + 15", "g + 76"], ["g", 8, "84"]], "target_var_name": "y", "target_value": 84, "value_dict": {"g": 8}, "is_reverse": true}} | 15,531 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = b + 9; t = q + 15; m = k + 11; c = g + 15; i = l + 12; g = 8; x = m + 3; k = i + 14; n = g + 3; l = n + 8; q = c + 9; b = t + 18; y = u + 10. If g = 8, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = b + 9 to y, which gives y = b + 19.\n2. Substitute b = t + 18 to y, which gives y = t + 37.\n3. Substitute t = q + 15 to y, which gives y = q + 52.\n4. Substitute q = c + 9 to y, which gives y = c + 61.\n5. Substitute c = g + 15 to y, which gives y = g + 76.\n6. Substitute g = 8 to y, which gives y = 84.\n\nThus, the final answer is y = \\boxed{84}.",
"index": 15531,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = b + 9; t = q + 15; m = k + 11; c = g + 15; i = l + 12; g = 8; x = m + 3; k = i + 14; n = g + 3; l = n + 8; q = c + 9; b = t + 18; y = u + 10. If g = 8, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"i": "t + 1", "x": "i + 2", "z": "x + 3", "j": "z + 8", "a": "j + 15", "m": "a + 8", "v": "t + 5", "e": "v + 6", "u": "e + 15", "w": "u + 20", "o": "w + 17", "y": "o + 5", "t": 12}, "premises": {"t": 12}, "target": "m"}, "answer": {"steps": [["a", "j + 15", "j + 23"], ["j", "z + 8", "z + 31"], ["z", "x + 3", "x + 34"], ["x", "i + 2", "i + 36"], ["i", "t + 1", "t + 37"], ["t", 12, "49"]], "target_var_name": "m", "target_value": 49, "value_dict": {"t": 12}, "is_reverse": true}} | 15,532 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = w + 17; y = o + 5; a = j + 15; m = a + 8; z = x + 3; v = t + 5; u = e + 15; w = u + 20; e = v + 6; i = t + 1; x = i + 2; j = z + 8; t = 12. If t = 12, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = j + 15 to m, which gives m = j + 23.\n2. Substitute j = z + 8 to m, which gives m = z + 31.\n3. Substitute z = x + 3 to m, which gives m = x + 34.\n4. Substitute x = i + 2 to m, which gives m = i + 36.\n5. Substitute i = t + 1 to m, which gives m = t + 37.\n6. Substitute t = 12 to m, which gives m = 49.\n\nThus, the final answer is m = \\boxed{49}.",
"index": 15532,
"question": "Consider a system of variables where each variable is defined as follows: o = w + 17; y = o + 5; a = j + 15; m = a + 8; z = x + 3; v = t + 5; u = e + 15; w = u + 20; e = v + 6; i = t + 1; x = i + 2; j = z + 8; t = 12. If t = 12, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"k": "m + 1", "p": "k + 5", "j": "p + 11", "v": "j + 11", "x": "v + 18", "i": "x + 11", "a": "m + 5", "e": "a + 12", "g": "e + 17", "w": "g + 16", "z": "w + 16", "h": "z + 15", "m": 17}, "premises": {"m": 17}, "target": "i"}, "answer": {"steps": [["x", "v + 18", "v + 29"], ["v", "j + 11", "j + 40"], ["j", "p + 11", "p + 51"], ["p", "k + 5", "k + 56"], ["k", "m + 1", "m + 57"], ["m", 17, "74"]], "target_var_name": "i", "target_value": 74, "value_dict": {"m": 17}, "is_reverse": true}} | 15,533 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = p + 11; k = m + 1; v = j + 11; e = a + 12; a = m + 5; x = v + 18; i = x + 11; p = k + 5; h = z + 15; w = g + 16; m = 17; g = e + 17; z = w + 16. Given that m = 17, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = v + 18 to i, which gives i = v + 29.\n2. Substitute v = j + 11 to i, which gives i = j + 40.\n3. Substitute j = p + 11 to i, which gives i = p + 51.\n4. Substitute p = k + 5 to i, which gives i = k + 56.\n5. Substitute k = m + 1 to i, which gives i = m + 57.\n6. Substitute m = 17 to i, which gives i = 74.\n\nThus, the final answer is i = \\boxed{74}.",
"index": 15533,
"question": "Suppose a collection of variables is related by the following definitions: j = p + 11; k = m + 1; v = j + 11; e = a + 12; a = m + 5; x = v + 18; i = x + 11; p = k + 5; h = z + 15; w = g + 16; m = 17; g = e + 17; z = w + 16. Given that m = 17, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"j": "l + 19", "v": "j + 16", "u": "v + 9", "x": "u + 11", "d": "x + 2", "h": "d + 19", "c": "l + 17", "k": "c + 19", "o": "k + 14", "f": "o + 8", "i": "f + 15", "n": "i + 2", "l": 14}, "premises": {"l": 14}, "target": "h"}, "answer": {"steps": [["d", "x + 2", "x + 21"], ["x", "u + 11", "u + 32"], ["u", "v + 9", "v + 41"], ["v", "j + 16", "j + 57"], ["j", "l + 19", "l + 76"], ["l", 14, "90"]], "target_var_name": "h", "target_value": 90, "value_dict": {"l": 14}, "is_reverse": true}} | 15,534 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = i + 2; f = o + 8; o = k + 14; l = 14; c = l + 17; d = x + 2; v = j + 16; h = d + 19; u = v + 9; j = l + 19; k = c + 19; i = f + 15; x = u + 11. Given that l = 14, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = x + 2 to h, which gives h = x + 21.\n2. Substitute x = u + 11 to h, which gives h = u + 32.\n3. Substitute u = v + 9 to h, which gives h = v + 41.\n4. Substitute v = j + 16 to h, which gives h = j + 57.\n5. Substitute j = l + 19 to h, which gives h = l + 76.\n6. Substitute l = 14 to h, which gives h = 90.\n\nThus, the final answer is h = \\boxed{90}.",
"index": 15534,
"question": "Suppose a collection of variables is related by the following definitions: n = i + 2; f = o + 8; o = k + 14; l = 14; c = l + 17; d = x + 2; v = j + 16; h = d + 19; u = v + 9; j = l + 19; k = c + 19; i = f + 15; x = u + 11. Given that l = 14, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"r": "b + 14", "x": "r + 6", "z": "x + 5", "l": "z + 5", "u": "l + 12", "f": "u + 11", "i": "b + 3", "w": "i + 20", "p": "w + 19", "n": "p + 8", "m": "n + 9", "t": "m + 19", "b": 15}, "premises": {"b": 15}, "target": "f"}, "answer": {"steps": [["u", "l + 12", "l + 23"], ["l", "z + 5", "z + 28"], ["z", "x + 5", "x + 33"], ["x", "r + 6", "r + 39"], ["r", "b + 14", "b + 53"], ["b", 15, "68"]], "target_var_name": "f", "target_value": 68, "value_dict": {"b": 15}, "is_reverse": true}} | 15,535 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = i + 20; z = x + 5; u = l + 12; n = p + 8; f = u + 11; l = z + 5; t = m + 19; m = n + 9; i = b + 3; x = r + 6; r = b + 14; p = w + 19; b = 15. If b = 15, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = l + 12 to f, which gives f = l + 23.\n2. Substitute l = z + 5 to f, which gives f = z + 28.\n3. Substitute z = x + 5 to f, which gives f = x + 33.\n4. Substitute x = r + 6 to f, which gives f = r + 39.\n5. Substitute r = b + 14 to f, which gives f = b + 53.\n6. Substitute b = 15 to f, which gives f = 68.\n\nThus, the final answer is f = \\boxed{68}.",
"index": 15535,
"question": "Consider a system of variables where each variable is defined as follows: w = i + 20; z = x + 5; u = l + 12; n = p + 8; f = u + 11; l = z + 5; t = m + 19; m = n + 9; i = b + 3; x = r + 6; r = b + 14; p = w + 19; b = 15. If b = 15, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"u": "l + 4", "s": "u + 7", "a": "s + 9", "c": "a + 19", "n": "c + 15", "x": "n + 10", "y": "l + 19", "k": "y + 17", "g": "k + 1", "d": "g + 4", "z": "d + 12", "v": "z + 13", "l": 2}, "premises": {"l": 2}, "target": "x"}, "answer": {"steps": [["n", "c + 15", "c + 25"], ["c", "a + 19", "a + 44"], ["a", "s + 9", "s + 53"], ["s", "u + 7", "u + 60"], ["u", "l + 4", "l + 64"], ["l", 2, "66"]], "target_var_name": "x", "target_value": 66, "value_dict": {"l": 2}, "is_reverse": true}} | 15,536 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = g + 4; l = 2; x = n + 10; n = c + 15; k = y + 17; u = l + 4; g = k + 1; a = s + 9; y = l + 19; s = u + 7; z = d + 12; c = a + 19; v = z + 13. If l = 2, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = c + 15 to x, which gives x = c + 25.\n2. Substitute c = a + 19 to x, which gives x = a + 44.\n3. Substitute a = s + 9 to x, which gives x = s + 53.\n4. Substitute s = u + 7 to x, which gives x = u + 60.\n5. Substitute u = l + 4 to x, which gives x = l + 64.\n6. Substitute l = 2 to x, which gives x = 66.\n\nThus, the final answer is x = \\boxed{66}.",
"index": 15536,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = g + 4; l = 2; x = n + 10; n = c + 15; k = y + 17; u = l + 4; g = k + 1; a = s + 9; y = l + 19; s = u + 7; z = d + 12; c = a + 19; v = z + 13. If l = 2, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"x": "y + 13", "b": "x + 8", "w": "b + 16", "q": "w + 8", "j": "q + 1", "e": "j + 10", "s": "y + 15", "u": "s + 15", "z": "u + 12", "f": "z + 17", "p": "f + 17", "r": "p + 10", "y": 8}, "premises": {"y": 8}, "target": "e"}, "answer": {"steps": [["j", "q + 1", "q + 11"], ["q", "w + 8", "w + 19"], ["w", "b + 16", "b + 35"], ["b", "x + 8", "x + 43"], ["x", "y + 13", "y + 56"], ["y", 8, "64"]], "target_var_name": "e", "target_value": 64, "value_dict": {"y": 8}, "is_reverse": true}} | 15,537 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = b + 16; z = u + 12; u = s + 15; b = x + 8; f = z + 17; x = y + 13; p = f + 17; s = y + 15; r = p + 10; y = 8; j = q + 1; q = w + 8; e = j + 10. Given that y = 8, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = q + 1 to e, which gives e = q + 11.\n2. Substitute q = w + 8 to e, which gives e = w + 19.\n3. Substitute w = b + 16 to e, which gives e = b + 35.\n4. Substitute b = x + 8 to e, which gives e = x + 43.\n5. Substitute x = y + 13 to e, which gives e = y + 56.\n6. Substitute y = 8 to e, which gives e = 64.\n\nThus, the final answer is e = \\boxed{64}.",
"index": 15537,
"question": "Suppose a collection of variables is related by the following definitions: w = b + 16; z = u + 12; u = s + 15; b = x + 8; f = z + 17; x = y + 13; p = f + 17; s = y + 15; r = p + 10; y = 8; j = q + 1; q = w + 8; e = j + 10. Given that y = 8, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"h": "v + 13", "m": "h + 15", "c": "m + 4", "q": "c + 14", "g": "q + 2", "t": "g + 8", "p": "v + 10", "y": "p + 12", "a": "y + 16", "b": "a + 7", "z": "b + 5", "j": "z + 7", "v": 7}, "premises": {"v": 7}, "target": "t"}, "answer": {"steps": [["g", "q + 2", "q + 10"], ["q", "c + 14", "c + 24"], ["c", "m + 4", "m + 28"], ["m", "h + 15", "h + 43"], ["h", "v + 13", "v + 56"], ["v", 7, "63"]], "target_var_name": "t", "target_value": 63, "value_dict": {"v": 7}, "is_reverse": true}} | 15,538 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = b + 5; q = c + 14; j = z + 7; b = a + 7; v = 7; y = p + 12; a = y + 16; m = h + 15; g = q + 2; c = m + 4; t = g + 8; p = v + 10; h = v + 13. Given that v = 7, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = q + 2 to t, which gives t = q + 10.\n2. Substitute q = c + 14 to t, which gives t = c + 24.\n3. Substitute c = m + 4 to t, which gives t = m + 28.\n4. Substitute m = h + 15 to t, which gives t = h + 43.\n5. Substitute h = v + 13 to t, which gives t = v + 56.\n6. Substitute v = 7 to t, which gives t = 63.\n\nThus, the final answer is t = \\boxed{63}.",
"index": 15538,
"question": "Suppose a collection of variables is related by the following definitions: z = b + 5; q = c + 14; j = z + 7; b = a + 7; v = 7; y = p + 12; a = y + 16; m = h + 15; g = q + 2; c = m + 4; t = g + 8; p = v + 10; h = v + 13. Given that v = 7, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"k": "e + 11", "z": "k + 14", "i": "z + 19", "o": "i + 4", "p": "o + 19", "j": "p + 17", "w": "e + 6", "r": "w + 10", "c": "r + 17", "m": "c + 15", "g": "m + 4", "f": "g + 4", "e": 9}, "premises": {"e": 9}, "target": "j"}, "answer": {"steps": [["p", "o + 19", "o + 36"], ["o", "i + 4", "i + 40"], ["i", "z + 19", "z + 59"], ["z", "k + 14", "k + 73"], ["k", "e + 11", "e + 84"], ["e", 9, "93"]], "target_var_name": "j", "target_value": 93, "value_dict": {"e": 9}, "is_reverse": true}} | 15,539 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = z + 19; j = p + 17; e = 9; f = g + 4; k = e + 11; r = w + 10; p = o + 19; c = r + 17; m = c + 15; g = m + 4; z = k + 14; o = i + 4; w = e + 6. If e = 9, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = o + 19 to j, which gives j = o + 36.\n2. Substitute o = i + 4 to j, which gives j = i + 40.\n3. Substitute i = z + 19 to j, which gives j = z + 59.\n4. Substitute z = k + 14 to j, which gives j = k + 73.\n5. Substitute k = e + 11 to j, which gives j = e + 84.\n6. Substitute e = 9 to j, which gives j = 93.\n\nThus, the final answer is j = \\boxed{93}.",
"index": 15539,
"question": "Consider a system of variables where each variable is defined as follows: i = z + 19; j = p + 17; e = 9; f = g + 4; k = e + 11; r = w + 10; p = o + 19; c = r + 17; m = c + 15; g = m + 4; z = k + 14; o = i + 4; w = e + 6. If e = 9, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"g": "r + 18", "f": "g + 18", "w": "f + 6", "i": "w + 10", "a": "i + 3", "x": "a + 3", "b": "r + 3", "h": "b + 5", "q": "h + 11", "k": "q + 17", "m": "k + 17", "e": "m + 7", "r": 3}, "premises": {"r": 3}, "target": "x"}, "answer": {"steps": [["a", "i + 3", "i + 6"], ["i", "w + 10", "w + 16"], ["w", "f + 6", "f + 22"], ["f", "g + 18", "g + 40"], ["g", "r + 18", "r + 58"], ["r", 3, "61"]], "target_var_name": "x", "target_value": 61, "value_dict": {"r": 3}, "is_reverse": true}} | 15,540 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = i + 3; r = 3; i = w + 10; h = b + 5; w = f + 6; x = a + 3; b = r + 3; g = r + 18; q = h + 11; k = q + 17; f = g + 18; e = m + 7; m = k + 17. If r = 3, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = i + 3 to x, which gives x = i + 6.\n2. Substitute i = w + 10 to x, which gives x = w + 16.\n3. Substitute w = f + 6 to x, which gives x = f + 22.\n4. Substitute f = g + 18 to x, which gives x = g + 40.\n5. Substitute g = r + 18 to x, which gives x = r + 58.\n6. Substitute r = 3 to x, which gives x = 61.\n\nThus, the final answer is x = \\boxed{61}.",
"index": 15540,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = i + 3; r = 3; i = w + 10; h = b + 5; w = f + 6; x = a + 3; b = r + 3; g = r + 18; q = h + 11; k = q + 17; f = g + 18; e = m + 7; m = k + 17. If r = 3, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"q": "z + 1", "t": "q + 11", "f": "t + 7", "w": "f + 1", "i": "w + 9", "u": "i + 6", "j": "z + 9", "d": "j + 14", "c": "d + 16", "a": "c + 15", "y": "a + 20", "s": "y + 1", "z": 16}, "premises": {"z": 16}, "target": "u"}, "answer": {"steps": [["i", "w + 9", "w + 15"], ["w", "f + 1", "f + 16"], ["f", "t + 7", "t + 23"], ["t", "q + 11", "q + 34"], ["q", "z + 1", "z + 35"], ["z", 16, "51"]], "target_var_name": "u", "target_value": 51, "value_dict": {"z": 16}, "is_reverse": true}} | 15,541 | 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 = d + 16; t = q + 11; f = t + 7; s = y + 1; y = a + 20; w = f + 1; u = i + 6; z = 16; a = c + 15; d = j + 14; q = z + 1; i = w + 9; j = z + 9. If z = 16, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = w + 9 to u, which gives u = w + 15.\n2. Substitute w = f + 1 to u, which gives u = f + 16.\n3. Substitute f = t + 7 to u, which gives u = t + 23.\n4. Substitute t = q + 11 to u, which gives u = q + 34.\n5. Substitute q = z + 1 to u, which gives u = z + 35.\n6. Substitute z = 16 to u, which gives u = 51.\n\nThus, the final answer is u = \\boxed{51}.",
"index": 15541,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = d + 16; t = q + 11; f = t + 7; s = y + 1; y = a + 20; w = f + 1; u = i + 6; z = 16; a = c + 15; d = j + 14; q = z + 1; i = w + 9; j = z + 9. If z = 16, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"v": "t + 10", "e": "v + 7", "h": "e + 15", "z": "h + 14", "i": "z + 12", "w": "i + 7", "r": "t + 11", "j": "r + 18", "p": "j + 9", "n": "p + 20", "l": "n + 14", "a": "l + 19", "t": 12}, "premises": {"t": 12}, "target": "w"}, "answer": {"steps": [["i", "z + 12", "z + 19"], ["z", "h + 14", "h + 33"], ["h", "e + 15", "e + 48"], ["e", "v + 7", "v + 55"], ["v", "t + 10", "t + 65"], ["t", 12, "77"]], "target_var_name": "w", "target_value": 77, "value_dict": {"t": 12}, "is_reverse": true}} | 15,542 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = 12; r = t + 11; n = p + 20; i = z + 12; w = i + 7; e = v + 7; j = r + 18; h = e + 15; a = l + 19; v = t + 10; l = n + 14; z = h + 14; p = j + 9. If t = 12, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = z + 12 to w, which gives w = z + 19.\n2. Substitute z = h + 14 to w, which gives w = h + 33.\n3. Substitute h = e + 15 to w, which gives w = e + 48.\n4. Substitute e = v + 7 to w, which gives w = v + 55.\n5. Substitute v = t + 10 to w, which gives w = t + 65.\n6. Substitute t = 12 to w, which gives w = 77.\n\nThus, the final answer is w = \\boxed{77}.",
"index": 15542,
"question": "Consider a system of variables where each variable is defined as follows: t = 12; r = t + 11; n = p + 20; i = z + 12; w = i + 7; e = v + 7; j = r + 18; h = e + 15; a = l + 19; v = t + 10; l = n + 14; z = h + 14; p = j + 9. If t = 12, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"x": "j + 7", "l": "x + 6", "s": "l + 3", "o": "s + 6", "k": "o + 8", "u": "k + 10", "r": "j + 13", "f": "r + 14", "m": "f + 6", "d": "m + 16", "e": "d + 18", "v": "e + 14", "j": 15}, "premises": {"j": 15}, "target": "u"}, "answer": {"steps": [["k", "o + 8", "o + 18"], ["o", "s + 6", "s + 24"], ["s", "l + 3", "l + 27"], ["l", "x + 6", "x + 33"], ["x", "j + 7", "j + 40"], ["j", 15, "55"]], "target_var_name": "u", "target_value": 55, "value_dict": {"j": 15}, "is_reverse": true}} | 15,543 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = 15; v = e + 14; k = o + 8; s = l + 3; u = k + 10; d = m + 16; e = d + 18; o = s + 6; l = x + 6; x = j + 7; r = j + 13; m = f + 6; f = r + 14. Given that j = 15, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = o + 8 to u, which gives u = o + 18.\n2. Substitute o = s + 6 to u, which gives u = s + 24.\n3. Substitute s = l + 3 to u, which gives u = l + 27.\n4. Substitute l = x + 6 to u, which gives u = x + 33.\n5. Substitute x = j + 7 to u, which gives u = j + 40.\n6. Substitute j = 15 to u, which gives u = 55.\n\nThus, the final answer is u = \\boxed{55}.",
"index": 15543,
"question": "Suppose a collection of variables is related by the following definitions: j = 15; v = e + 14; k = o + 8; s = l + 3; u = k + 10; d = m + 16; e = d + 18; o = s + 6; l = x + 6; x = j + 7; r = j + 13; m = f + 6; f = r + 14. Given that j = 15, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"b": "e + 4", "y": "b + 13", "d": "y + 6", "x": "d + 15", "a": "x + 4", "r": "a + 12", "k": "e + 15", "p": "k + 2", "q": "p + 16", "f": "q + 13", "l": "f + 3", "w": "l + 4", "e": 15}, "premises": {"e": 15}, "target": "r"}, "answer": {"steps": [["a", "x + 4", "x + 16"], ["x", "d + 15", "d + 31"], ["d", "y + 6", "y + 37"], ["y", "b + 13", "b + 50"], ["b", "e + 4", "e + 54"], ["e", 15, "69"]], "target_var_name": "r", "target_value": 69, "value_dict": {"e": 15}, "is_reverse": true}} | 15,544 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = p + 16; p = k + 2; l = f + 3; r = a + 12; w = l + 4; b = e + 4; e = 15; y = b + 13; x = d + 15; f = q + 13; a = x + 4; k = e + 15; d = y + 6. If e = 15, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = x + 4 to r, which gives r = x + 16.\n2. Substitute x = d + 15 to r, which gives r = d + 31.\n3. Substitute d = y + 6 to r, which gives r = y + 37.\n4. Substitute y = b + 13 to r, which gives r = b + 50.\n5. Substitute b = e + 4 to r, which gives r = e + 54.\n6. Substitute e = 15 to r, which gives r = 69.\n\nThus, the final answer is r = \\boxed{69}.",
"index": 15544,
"question": "Consider a system of variables where each variable is defined as follows: q = p + 16; p = k + 2; l = f + 3; r = a + 12; w = l + 4; b = e + 4; e = 15; y = b + 13; x = d + 15; f = q + 13; a = x + 4; k = e + 15; d = y + 6. If e = 15, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"b": "h + 15", "e": "b + 20", "g": "e + 10", "f": "g + 6", "k": "f + 7", "m": "k + 2", "r": "h + 5", "j": "r + 14", "s": "j + 16", "y": "s + 6", "p": "y + 1", "l": "p + 13", "h": 17}, "premises": {"h": 17}, "target": "m"}, "answer": {"steps": [["k", "f + 7", "f + 9"], ["f", "g + 6", "g + 15"], ["g", "e + 10", "e + 25"], ["e", "b + 20", "b + 45"], ["b", "h + 15", "h + 60"], ["h", 17, "77"]], "target_var_name": "m", "target_value": 77, "value_dict": {"h": 17}, "is_reverse": true}} | 15,545 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = e + 10; h = 17; b = h + 15; l = p + 13; p = y + 1; s = j + 16; y = s + 6; k = f + 7; m = k + 2; e = b + 20; f = g + 6; r = h + 5; j = r + 14. If h = 17, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = f + 7 to m, which gives m = f + 9.\n2. Substitute f = g + 6 to m, which gives m = g + 15.\n3. Substitute g = e + 10 to m, which gives m = e + 25.\n4. Substitute e = b + 20 to m, which gives m = b + 45.\n5. Substitute b = h + 15 to m, which gives m = h + 60.\n6. Substitute h = 17 to m, which gives m = 77.\n\nThus, the final answer is m = \\boxed{77}.",
"index": 15545,
"question": "Consider a system of variables where each variable is defined as follows: g = e + 10; h = 17; b = h + 15; l = p + 13; p = y + 1; s = j + 16; y = s + 6; k = f + 7; m = k + 2; e = b + 20; f = g + 6; r = h + 5; j = r + 14. If h = 17, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"y": "u + 16", "t": "y + 19", "e": "t + 16", "k": "e + 11", "c": "k + 1", "z": "c + 4", "r": "u + 6", "v": "r + 2", "n": "v + 13", "g": "n + 14", "f": "g + 1", "i": "f + 19", "u": 11}, "premises": {"u": 11}, "target": "z"}, "answer": {"steps": [["c", "k + 1", "k + 5"], ["k", "e + 11", "e + 16"], ["e", "t + 16", "t + 32"], ["t", "y + 19", "y + 51"], ["y", "u + 16", "u + 67"], ["u", 11, "78"]], "target_var_name": "z", "target_value": 78, "value_dict": {"u": 11}, "is_reverse": true}} | 15,546 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = c + 4; n = v + 13; v = r + 2; k = e + 11; e = t + 16; t = y + 19; c = k + 1; y = u + 16; f = g + 1; r = u + 6; i = f + 19; u = 11; g = n + 14. Given that u = 11, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = k + 1 to z, which gives z = k + 5.\n2. Substitute k = e + 11 to z, which gives z = e + 16.\n3. Substitute e = t + 16 to z, which gives z = t + 32.\n4. Substitute t = y + 19 to z, which gives z = y + 51.\n5. Substitute y = u + 16 to z, which gives z = u + 67.\n6. Substitute u = 11 to z, which gives z = 78.\n\nThus, the final answer is z = \\boxed{78}.",
"index": 15546,
"question": "Suppose a collection of variables is related by the following definitions: z = c + 4; n = v + 13; v = r + 2; k = e + 11; e = t + 16; t = y + 19; c = k + 1; y = u + 16; f = g + 1; r = u + 6; i = f + 19; u = 11; g = n + 14. Given that u = 11, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"c": "n + 5", "l": "c + 2", "y": "l + 16", "t": "y + 8", "b": "t + 3", "x": "b + 17", "i": "n + 20", "m": "i + 7", "k": "m + 11", "q": "k + 7", "f": "q + 11", "v": "f + 6", "n": 10}, "premises": {"n": 10}, "target": "x"}, "answer": {"steps": [["b", "t + 3", "t + 20"], ["t", "y + 8", "y + 28"], ["y", "l + 16", "l + 44"], ["l", "c + 2", "c + 46"], ["c", "n + 5", "n + 51"], ["n", 10, "61"]], "target_var_name": "x", "target_value": 61, "value_dict": {"n": 10}, "is_reverse": true}} | 15,547 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = m + 11; f = q + 11; t = y + 8; l = c + 2; n = 10; q = k + 7; c = n + 5; b = t + 3; m = i + 7; x = b + 17; i = n + 20; v = f + 6; y = l + 16. If n = 10, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = t + 3 to x, which gives x = t + 20.\n2. Substitute t = y + 8 to x, which gives x = y + 28.\n3. Substitute y = l + 16 to x, which gives x = l + 44.\n4. Substitute l = c + 2 to x, which gives x = c + 46.\n5. Substitute c = n + 5 to x, which gives x = n + 51.\n6. Substitute n = 10 to x, which gives x = 61.\n\nThus, the final answer is x = \\boxed{61}.",
"index": 15547,
"question": "Consider a system of variables where each variable is defined as follows: k = m + 11; f = q + 11; t = y + 8; l = c + 2; n = 10; q = k + 7; c = n + 5; b = t + 3; m = i + 7; x = b + 17; i = n + 20; v = f + 6; y = l + 16. If n = 10, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"h": "m + 18", "n": "h + 7", "c": "n + 1", "e": "c + 17", "w": "e + 14", "i": "w + 3", "z": "m + 2", "y": "z + 18", "a": "y + 2", "j": "a + 3", "v": "j + 17", "x": "v + 17", "m": 11}, "premises": {"m": 11}, "target": "i"}, "answer": {"steps": [["w", "e + 14", "e + 17"], ["e", "c + 17", "c + 34"], ["c", "n + 1", "n + 35"], ["n", "h + 7", "h + 42"], ["h", "m + 18", "m + 60"], ["m", 11, "71"]], "target_var_name": "i", "target_value": 71, "value_dict": {"m": 11}, "is_reverse": true}} | 15,548 | 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 = e + 14; e = c + 17; y = z + 18; z = m + 2; a = y + 2; x = v + 17; m = 11; v = j + 17; i = w + 3; j = a + 3; h = m + 18; n = h + 7; c = n + 1. If m = 11, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = e + 14 to i, which gives i = e + 17.\n2. Substitute e = c + 17 to i, which gives i = c + 34.\n3. Substitute c = n + 1 to i, which gives i = n + 35.\n4. Substitute n = h + 7 to i, which gives i = h + 42.\n5. Substitute h = m + 18 to i, which gives i = m + 60.\n6. Substitute m = 11 to i, which gives i = 71.\n\nThus, the final answer is i = \\boxed{71}.",
"index": 15548,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = e + 14; e = c + 17; y = z + 18; z = m + 2; a = y + 2; x = v + 17; m = 11; v = j + 17; i = w + 3; j = a + 3; h = m + 18; n = h + 7; c = n + 1. If m = 11, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"r": "c + 12", "w": "r + 14", "x": "w + 10", "f": "x + 15", "g": "f + 19", "e": "g + 9", "o": "c + 18", "p": "o + 6", "v": "p + 17", "q": "v + 15", "y": "q + 2", "m": "y + 10", "c": 4}, "premises": {"c": 4}, "target": "e"}, "answer": {"steps": [["g", "f + 19", "f + 28"], ["f", "x + 15", "x + 43"], ["x", "w + 10", "w + 53"], ["w", "r + 14", "r + 67"], ["r", "c + 12", "c + 79"], ["c", 4, "83"]], "target_var_name": "e", "target_value": 83, "value_dict": {"c": 4}, "is_reverse": true}} | 15,549 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = v + 15; y = q + 2; g = f + 19; m = y + 10; e = g + 9; r = c + 12; w = r + 14; c = 4; x = w + 10; o = c + 18; p = o + 6; v = p + 17; f = x + 15. Given that c = 4, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = f + 19 to e, which gives e = f + 28.\n2. Substitute f = x + 15 to e, which gives e = x + 43.\n3. Substitute x = w + 10 to e, which gives e = w + 53.\n4. Substitute w = r + 14 to e, which gives e = r + 67.\n5. Substitute r = c + 12 to e, which gives e = c + 79.\n6. Substitute c = 4 to e, which gives e = 83.\n\nThus, the final answer is e = \\boxed{83}.",
"index": 15549,
"question": "Suppose a collection of variables is related by the following definitions: q = v + 15; y = q + 2; g = f + 19; m = y + 10; e = g + 9; r = c + 12; w = r + 14; c = 4; x = w + 10; o = c + 18; p = o + 6; v = p + 17; f = x + 15. Given that c = 4, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"y": "j + 6", "i": "y + 20", "z": "i + 6", "t": "z + 12", "l": "t + 7", "m": "l + 5", "k": "j + 1", "g": "k + 20", "v": "g + 14", "q": "v + 3", "s": "q + 16", "f": "s + 20", "j": 16}, "premises": {"j": 16}, "target": "m"}, "answer": {"steps": [["l", "t + 7", "t + 12"], ["t", "z + 12", "z + 24"], ["z", "i + 6", "i + 30"], ["i", "y + 20", "y + 50"], ["y", "j + 6", "j + 56"], ["j", 16, "72"]], "target_var_name": "m", "target_value": 72, "value_dict": {"j": 16}, "is_reverse": true}} | 15,550 | 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 = q + 16; m = l + 5; i = y + 20; g = k + 20; y = j + 6; v = g + 14; l = t + 7; t = z + 12; j = 16; f = s + 20; z = i + 6; k = j + 1; q = v + 3. If j = 16, what is the resulting 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 l = t + 7 to m, which gives m = t + 12.\n2. Substitute t = z + 12 to m, which gives m = z + 24.\n3. Substitute z = i + 6 to m, which gives m = i + 30.\n4. Substitute i = y + 20 to m, which gives m = y + 50.\n5. Substitute y = j + 6 to m, which gives m = j + 56.\n6. Substitute j = 16 to m, which gives m = 72.\n\nThus, the final answer is m = \\boxed{72}.",
"index": 15550,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = q + 16; m = l + 5; i = y + 20; g = k + 20; y = j + 6; v = g + 14; l = t + 7; t = z + 12; j = 16; f = s + 20; z = i + 6; k = j + 1; q = v + 3. If j = 16, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"b": "j + 11", "u": "b + 20", "e": "u + 20", "q": "e + 20", "c": "q + 20", "o": "c + 16", "i": "j + 15", "g": "i + 13", "r": "g + 11", "t": "r + 14", "l": "t + 18", "w": "l + 2", "j": 9}, "premises": {"j": 9}, "target": "o"}, "answer": {"steps": [["c", "q + 20", "q + 36"], ["q", "e + 20", "e + 56"], ["e", "u + 20", "u + 76"], ["u", "b + 20", "b + 96"], ["b", "j + 11", "j + 107"], ["j", 9, "116"]], "target_var_name": "o", "target_value": 116, "value_dict": {"j": 9}, "is_reverse": true}} | 15,551 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = t + 18; j = 9; i = j + 15; e = u + 20; q = e + 20; b = j + 11; t = r + 14; c = q + 20; g = i + 13; u = b + 20; w = l + 2; r = g + 11; o = c + 16. Given that j = 9, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 116,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = q + 20 to o, which gives o = q + 36.\n2. Substitute q = e + 20 to o, which gives o = e + 56.\n3. Substitute e = u + 20 to o, which gives o = u + 76.\n4. Substitute u = b + 20 to o, which gives o = b + 96.\n5. Substitute b = j + 11 to o, which gives o = j + 107.\n6. Substitute j = 9 to o, which gives o = 116.\n\nThus, the final answer is o = \\boxed{116}.",
"index": 15551,
"question": "Suppose a collection of variables is related by the following definitions: l = t + 18; j = 9; i = j + 15; e = u + 20; q = e + 20; b = j + 11; t = r + 14; c = q + 20; g = i + 13; u = b + 20; w = l + 2; r = g + 11; o = c + 16. Given that j = 9, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"z": "a + 11", "t": "z + 1", "l": "t + 8", "p": "l + 13", "h": "p + 15", "e": "h + 14", "c": "a + 20", "n": "c + 9", "y": "n + 10", "f": "y + 4", "g": "f + 6", "i": "g + 17", "a": 3}, "premises": {"a": 3}, "target": "e"}, "answer": {"steps": [["h", "p + 15", "p + 29"], ["p", "l + 13", "l + 42"], ["l", "t + 8", "t + 50"], ["t", "z + 1", "z + 51"], ["z", "a + 11", "a + 62"], ["a", 3, "65"]], "target_var_name": "e", "target_value": 65, "value_dict": {"a": 3}, "is_reverse": true}} | 15,552 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = y + 4; p = l + 13; g = f + 6; i = g + 17; h = p + 15; t = z + 1; z = a + 11; c = a + 20; y = n + 10; a = 3; n = c + 9; e = h + 14; l = t + 8. Given that a = 3, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = p + 15 to e, which gives e = p + 29.\n2. Substitute p = l + 13 to e, which gives e = l + 42.\n3. Substitute l = t + 8 to e, which gives e = t + 50.\n4. Substitute t = z + 1 to e, which gives e = z + 51.\n5. Substitute z = a + 11 to e, which gives e = a + 62.\n6. Substitute a = 3 to e, which gives e = 65.\n\nThus, the final answer is e = \\boxed{65}.",
"index": 15552,
"question": "Suppose a collection of variables is related by the following definitions: f = y + 4; p = l + 13; g = f + 6; i = g + 17; h = p + 15; t = z + 1; z = a + 11; c = a + 20; y = n + 10; a = 3; n = c + 9; e = h + 14; l = t + 8. Given that a = 3, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"g": "c + 14", "i": "g + 7", "z": "i + 5", "t": "z + 4", "o": "t + 7", "e": "o + 2", "l": "c + 19", "k": "l + 11", "d": "k + 17", "q": "d + 4", "y": "q + 9", "m": "y + 12", "c": 5}, "premises": {"c": 5}, "target": "e"}, "answer": {"steps": [["o", "t + 7", "t + 9"], ["t", "z + 4", "z + 13"], ["z", "i + 5", "i + 18"], ["i", "g + 7", "g + 25"], ["g", "c + 14", "c + 39"], ["c", 5, "44"]], "target_var_name": "e", "target_value": 44, "value_dict": {"c": 5}, "is_reverse": true}} | 15,553 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = c + 14; y = q + 9; l = c + 19; k = l + 11; o = t + 7; i = g + 7; q = d + 4; e = o + 2; c = 5; z = i + 5; m = y + 12; d = k + 17; t = z + 4. If c = 5, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 44,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = t + 7 to e, which gives e = t + 9.\n2. Substitute t = z + 4 to e, which gives e = z + 13.\n3. Substitute z = i + 5 to e, which gives e = i + 18.\n4. Substitute i = g + 7 to e, which gives e = g + 25.\n5. Substitute g = c + 14 to e, which gives e = c + 39.\n6. Substitute c = 5 to e, which gives e = 44.\n\nThus, the final answer is e = \\boxed{44}.",
"index": 15553,
"question": "Consider a system of variables where each variable is defined as follows: g = c + 14; y = q + 9; l = c + 19; k = l + 11; o = t + 7; i = g + 7; q = d + 4; e = o + 2; c = 5; z = i + 5; m = y + 12; d = k + 17; t = z + 4. If c = 5, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"s": "z + 8", "r": "s + 6", "n": "r + 5", "t": "n + 8", "d": "t + 18", "v": "d + 15", "x": "z + 19", "b": "x + 19", "h": "b + 5", "w": "h + 20", "i": "w + 10", "g": "i + 3", "z": 20}, "premises": {"z": 20}, "target": "v"}, "answer": {"steps": [["d", "t + 18", "t + 33"], ["t", "n + 8", "n + 41"], ["n", "r + 5", "r + 46"], ["r", "s + 6", "s + 52"], ["s", "z + 8", "z + 60"], ["z", 20, "80"]], "target_var_name": "v", "target_value": 80, "value_dict": {"z": 20}, "is_reverse": true}} | 15,554 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = z + 8; x = z + 19; t = n + 8; i = w + 10; w = h + 20; v = d + 15; b = x + 19; z = 20; n = r + 5; d = t + 18; r = s + 6; h = b + 5; g = i + 3. If z = 20, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = t + 18 to v, which gives v = t + 33.\n2. Substitute t = n + 8 to v, which gives v = n + 41.\n3. Substitute n = r + 5 to v, which gives v = r + 46.\n4. Substitute r = s + 6 to v, which gives v = s + 52.\n5. Substitute s = z + 8 to v, which gives v = z + 60.\n6. Substitute z = 20 to v, which gives v = 80.\n\nThus, the final answer is v = \\boxed{80}.",
"index": 15554,
"question": "Consider a system of variables where each variable is defined as follows: s = z + 8; x = z + 19; t = n + 8; i = w + 10; w = h + 20; v = d + 15; b = x + 19; z = 20; n = r + 5; d = t + 18; r = s + 6; h = b + 5; g = i + 3. If z = 20, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"m": "p + 12", "x": "m + 3", "n": "x + 14", "i": "n + 6", "z": "i + 8", "r": "z + 12", "w": "p + 6", "l": "w + 15", "h": "l + 3", "s": "h + 20", "v": "s + 6", "j": "v + 2", "p": 2}, "premises": {"p": 2}, "target": "r"}, "answer": {"steps": [["z", "i + 8", "i + 20"], ["i", "n + 6", "n + 26"], ["n", "x + 14", "x + 40"], ["x", "m + 3", "m + 43"], ["m", "p + 12", "p + 55"], ["p", 2, "57"]], "target_var_name": "r", "target_value": 57, "value_dict": {"p": 2}, "is_reverse": true}} | 15,555 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = 2; w = p + 6; r = z + 12; m = p + 12; l = w + 15; v = s + 6; j = v + 2; i = n + 6; x = m + 3; z = i + 8; s = h + 20; n = x + 14; h = l + 3. If p = 2, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = i + 8 to r, which gives r = i + 20.\n2. Substitute i = n + 6 to r, which gives r = n + 26.\n3. Substitute n = x + 14 to r, which gives r = x + 40.\n4. Substitute x = m + 3 to r, which gives r = m + 43.\n5. Substitute m = p + 12 to r, which gives r = p + 55.\n6. Substitute p = 2 to r, which gives r = 57.\n\nThus, the final answer is r = \\boxed{57}.",
"index": 15555,
"question": "Consider a system of variables where each variable is defined as follows: p = 2; w = p + 6; r = z + 12; m = p + 12; l = w + 15; v = s + 6; j = v + 2; i = n + 6; x = m + 3; z = i + 8; s = h + 20; n = x + 14; h = l + 3. If p = 2, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"r": "d + 7", "c": "r + 19", "u": "c + 2", "n": "u + 14", "j": "n + 14", "z": "j + 2", "f": "d + 6", "y": "f + 4", "o": "y + 7", "p": "o + 20", "x": "p + 1", "k": "x + 10", "d": 20}, "premises": {"d": 20}, "target": "z"}, "answer": {"steps": [["j", "n + 14", "n + 16"], ["n", "u + 14", "u + 30"], ["u", "c + 2", "c + 32"], ["c", "r + 19", "r + 51"], ["r", "d + 7", "d + 58"], ["d", 20, "78"]], "target_var_name": "z", "target_value": 78, "value_dict": {"d": 20}, "is_reverse": true}} | 15,556 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = d + 6; y = f + 4; n = u + 14; d = 20; r = d + 7; c = r + 19; x = p + 1; o = y + 7; k = x + 10; z = j + 2; p = o + 20; u = c + 2; j = n + 14. Given that d = 20, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = n + 14 to z, which gives z = n + 16.\n2. Substitute n = u + 14 to z, which gives z = u + 30.\n3. Substitute u = c + 2 to z, which gives z = c + 32.\n4. Substitute c = r + 19 to z, which gives z = r + 51.\n5. Substitute r = d + 7 to z, which gives z = d + 58.\n6. Substitute d = 20 to z, which gives z = 78.\n\nThus, the final answer is z = \\boxed{78}.",
"index": 15556,
"question": "Suppose a collection of variables is related by the following definitions: f = d + 6; y = f + 4; n = u + 14; d = 20; r = d + 7; c = r + 19; x = p + 1; o = y + 7; k = x + 10; z = j + 2; p = o + 20; u = c + 2; j = n + 14. Given that d = 20, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"b": "i + 12", "e": "b + 1", "g": "e + 3", "c": "g + 5", "z": "c + 3", "o": "z + 18", "f": "i + 1", "u": "f + 2", "s": "u + 7", "w": "s + 15", "y": "w + 18", "t": "y + 15", "i": 19}, "premises": {"i": 19}, "target": "o"}, "answer": {"steps": [["z", "c + 3", "c + 21"], ["c", "g + 5", "g + 26"], ["g", "e + 3", "e + 29"], ["e", "b + 1", "b + 30"], ["b", "i + 12", "i + 42"], ["i", 19, "61"]], "target_var_name": "o", "target_value": 61, "value_dict": {"i": 19}, "is_reverse": true}} | 15,557 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = g + 5; z = c + 3; f = i + 1; t = y + 15; e = b + 1; b = i + 12; i = 19; g = e + 3; w = s + 15; s = u + 7; o = z + 18; y = w + 18; u = f + 2. If i = 19, determine the 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 z = c + 3 to o, which gives o = c + 21.\n2. Substitute c = g + 5 to o, which gives o = g + 26.\n3. Substitute g = e + 3 to o, which gives o = e + 29.\n4. Substitute e = b + 1 to o, which gives o = b + 30.\n5. Substitute b = i + 12 to o, which gives o = i + 42.\n6. Substitute i = 19 to o, which gives o = 61.\n\nThus, the final answer is o = \\boxed{61}.",
"index": 15557,
"question": "Consider a system of variables where each variable is defined as follows: c = g + 5; z = c + 3; f = i + 1; t = y + 15; e = b + 1; b = i + 12; i = 19; g = e + 3; w = s + 15; s = u + 7; o = z + 18; y = w + 18; u = f + 2. If i = 19, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"g": "o + 4", "w": "g + 12", "v": "w + 17", "q": "v + 3", "h": "q + 19", "a": "h + 7", "c": "o + 12", "d": "c + 1", "j": "d + 19", "t": "j + 2", "n": "t + 4", "r": "n + 3", "o": 1}, "premises": {"o": 1}, "target": "a"}, "answer": {"steps": [["h", "q + 19", "q + 26"], ["q", "v + 3", "v + 29"], ["v", "w + 17", "w + 46"], ["w", "g + 12", "g + 58"], ["g", "o + 4", "o + 62"], ["o", 1, "63"]], "target_var_name": "a", "target_value": 63, "value_dict": {"o": 1}, "is_reverse": true}} | 15,558 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = q + 19; j = d + 19; g = o + 4; w = g + 12; c = o + 12; t = j + 2; d = c + 1; o = 1; a = h + 7; n = t + 4; q = v + 3; r = n + 3; v = w + 17. If o = 1, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = q + 19 to a, which gives a = q + 26.\n2. Substitute q = v + 3 to a, which gives a = v + 29.\n3. Substitute v = w + 17 to a, which gives a = w + 46.\n4. Substitute w = g + 12 to a, which gives a = g + 58.\n5. Substitute g = o + 4 to a, which gives a = o + 62.\n6. Substitute o = 1 to a, which gives a = 63.\n\nThus, the final answer is a = \\boxed{63}.",
"index": 15558,
"question": "Consider a system of variables where each variable is defined as follows: h = q + 19; j = d + 19; g = o + 4; w = g + 12; c = o + 12; t = j + 2; d = c + 1; o = 1; a = h + 7; n = t + 4; q = v + 3; r = n + 3; v = w + 17. If o = 1, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"e": "m + 19", "p": "e + 6", "o": "p + 20", "x": "o + 20", "a": "x + 10", "k": "a + 7", "c": "m + 13", "z": "c + 16", "t": "z + 15", "r": "t + 9", "b": "r + 10", "f": "b + 20", "m": 6}, "premises": {"m": 6}, "target": "k"}, "answer": {"steps": [["a", "x + 10", "x + 17"], ["x", "o + 20", "o + 37"], ["o", "p + 20", "p + 57"], ["p", "e + 6", "e + 63"], ["e", "m + 19", "m + 82"], ["m", 6, "88"]], "target_var_name": "k", "target_value": 88, "value_dict": {"m": 6}, "is_reverse": true}} | 15,559 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = e + 6; r = t + 9; m = 6; a = x + 10; x = o + 20; z = c + 16; o = p + 20; e = m + 19; c = m + 13; f = b + 20; b = r + 10; t = z + 15; k = a + 7. If m = 6, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = x + 10 to k, which gives k = x + 17.\n2. Substitute x = o + 20 to k, which gives k = o + 37.\n3. Substitute o = p + 20 to k, which gives k = p + 57.\n4. Substitute p = e + 6 to k, which gives k = e + 63.\n5. Substitute e = m + 19 to k, which gives k = m + 82.\n6. Substitute m = 6 to k, which gives k = 88.\n\nThus, the final answer is k = \\boxed{88}.",
"index": 15559,
"question": "Consider a system of variables where each variable is defined as follows: p = e + 6; r = t + 9; m = 6; a = x + 10; x = o + 20; z = c + 16; o = p + 20; e = m + 19; c = m + 13; f = b + 20; b = r + 10; t = z + 15; k = a + 7. If m = 6, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"x": "v + 18", "y": "x + 8", "p": "y + 1", "z": "p + 4", "f": "z + 1", "l": "f + 17", "d": "v + 2", "e": "d + 11", "i": "e + 5", "m": "i + 5", "b": "m + 19", "n": "b + 1", "v": 15}, "premises": {"v": 15}, "target": "l"}, "answer": {"steps": [["f", "z + 1", "z + 18"], ["z", "p + 4", "p + 22"], ["p", "y + 1", "y + 23"], ["y", "x + 8", "x + 31"], ["x", "v + 18", "v + 49"], ["v", 15, "64"]], "target_var_name": "l", "target_value": 64, "value_dict": {"v": 15}, "is_reverse": true}} | 15,560 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = x + 8; d = v + 2; n = b + 1; f = z + 1; v = 15; p = y + 1; e = d + 11; z = p + 4; b = m + 19; m = i + 5; x = v + 18; l = f + 17; i = e + 5. If v = 15, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = z + 1 to l, which gives l = z + 18.\n2. Substitute z = p + 4 to l, which gives l = p + 22.\n3. Substitute p = y + 1 to l, which gives l = y + 23.\n4. Substitute y = x + 8 to l, which gives l = x + 31.\n5. Substitute x = v + 18 to l, which gives l = v + 49.\n6. Substitute v = 15 to l, which gives l = 64.\n\nThus, the final answer is l = \\boxed{64}.",
"index": 15560,
"question": "Consider a system of variables where each variable is defined as follows: y = x + 8; d = v + 2; n = b + 1; f = z + 1; v = 15; p = y + 1; e = d + 11; z = p + 4; b = m + 19; m = i + 5; x = v + 18; l = f + 17; i = e + 5. If v = 15, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"a": "k + 12", "i": "a + 3", "n": "i + 1", "m": "n + 17", "f": "m + 2", "l": "f + 15", "z": "k + 8", "g": "z + 16", "p": "g + 8", "v": "p + 20", "w": "v + 9", "c": "w + 11", "k": 13}, "premises": {"k": 13}, "target": "l"}, "answer": {"steps": [["f", "m + 2", "m + 17"], ["m", "n + 17", "n + 34"], ["n", "i + 1", "i + 35"], ["i", "a + 3", "a + 38"], ["a", "k + 12", "k + 50"], ["k", 13, "63"]], "target_var_name": "l", "target_value": 63, "value_dict": {"k": 13}, "is_reverse": true}} | 15,561 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = f + 15; a = k + 12; m = n + 17; f = m + 2; c = w + 11; i = a + 3; n = i + 1; z = k + 8; g = z + 16; v = p + 20; p = g + 8; w = v + 9; k = 13. Given that k = 13, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = m + 2 to l, which gives l = m + 17.\n2. Substitute m = n + 17 to l, which gives l = n + 34.\n3. Substitute n = i + 1 to l, which gives l = i + 35.\n4. Substitute i = a + 3 to l, which gives l = a + 38.\n5. Substitute a = k + 12 to l, which gives l = k + 50.\n6. Substitute k = 13 to l, which gives l = 63.\n\nThus, the final answer is l = \\boxed{63}.",
"index": 15561,
"question": "Suppose a collection of variables is related by the following definitions: l = f + 15; a = k + 12; m = n + 17; f = m + 2; c = w + 11; i = a + 3; n = i + 1; z = k + 8; g = z + 16; v = p + 20; p = g + 8; w = v + 9; k = 13. Given that k = 13, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"t": "z + 4", "a": "t + 6", "o": "a + 19", "r": "o + 19", "w": "r + 13", "y": "w + 7", "h": "z + 19", "g": "h + 12", "x": "g + 1", "f": "x + 19", "s": "f + 18", "m": "s + 3", "z": 1}, "premises": {"z": 1}, "target": "y"}, "answer": {"steps": [["w", "r + 13", "r + 20"], ["r", "o + 19", "o + 39"], ["o", "a + 19", "a + 58"], ["a", "t + 6", "t + 64"], ["t", "z + 4", "z + 68"], ["z", 1, "69"]], "target_var_name": "y", "target_value": 69, "value_dict": {"z": 1}, "is_reverse": true}} | 15,562 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = h + 12; h = z + 19; z = 1; y = w + 7; x = g + 1; w = r + 13; s = f + 18; m = s + 3; f = x + 19; t = z + 4; a = t + 6; r = o + 19; o = a + 19. Given that z = 1, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = r + 13 to y, which gives y = r + 20.\n2. Substitute r = o + 19 to y, which gives y = o + 39.\n3. Substitute o = a + 19 to y, which gives y = a + 58.\n4. Substitute a = t + 6 to y, which gives y = t + 64.\n5. Substitute t = z + 4 to y, which gives y = z + 68.\n6. Substitute z = 1 to y, which gives y = 69.\n\nThus, the final answer is y = \\boxed{69}.",
"index": 15562,
"question": "Suppose a collection of variables is related by the following definitions: g = h + 12; h = z + 19; z = 1; y = w + 7; x = g + 1; w = r + 13; s = f + 18; m = s + 3; f = x + 19; t = z + 4; a = t + 6; r = o + 19; o = a + 19. Given that z = 1, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"v": "t + 2", "h": "v + 1", "r": "h + 18", "c": "r + 13", "b": "c + 19", "f": "b + 9", "j": "t + 12", "d": "j + 10", "z": "d + 19", "i": "z + 10", "l": "i + 19", "g": "l + 5", "t": 19}, "premises": {"t": 19}, "target": "f"}, "answer": {"steps": [["b", "c + 19", "c + 28"], ["c", "r + 13", "r + 41"], ["r", "h + 18", "h + 59"], ["h", "v + 1", "v + 60"], ["v", "t + 2", "t + 62"], ["t", 19, "81"]], "target_var_name": "f", "target_value": 81, "value_dict": {"t": 19}, "is_reverse": true}} | 15,563 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = t + 2; z = d + 19; b = c + 19; t = 19; c = r + 13; r = h + 18; g = l + 5; j = t + 12; l = i + 19; d = j + 10; h = v + 1; f = b + 9; i = z + 10. If t = 19, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = c + 19 to f, which gives f = c + 28.\n2. Substitute c = r + 13 to f, which gives f = r + 41.\n3. Substitute r = h + 18 to f, which gives f = h + 59.\n4. Substitute h = v + 1 to f, which gives f = v + 60.\n5. Substitute v = t + 2 to f, which gives f = t + 62.\n6. Substitute t = 19 to f, which gives f = 81.\n\nThus, the final answer is f = \\boxed{81}.",
"index": 15563,
"question": "Consider a system of variables where each variable is defined as follows: v = t + 2; z = d + 19; b = c + 19; t = 19; c = r + 13; r = h + 18; g = l + 5; j = t + 12; l = i + 19; d = j + 10; h = v + 1; f = b + 9; i = z + 10. If t = 19, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"m": "c + 14", "p": "m + 18", "h": "p + 7", "s": "h + 3", "k": "s + 15", "b": "k + 12", "t": "c + 11", "u": "t + 8", "a": "u + 14", "j": "a + 15", "e": "j + 9", "i": "e + 17", "c": 18}, "premises": {"c": 18}, "target": "b"}, "answer": {"steps": [["k", "s + 15", "s + 27"], ["s", "h + 3", "h + 30"], ["h", "p + 7", "p + 37"], ["p", "m + 18", "m + 55"], ["m", "c + 14", "c + 69"], ["c", 18, "87"]], "target_var_name": "b", "target_value": 87, "value_dict": {"c": 18}, "is_reverse": true}} | 15,564 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = j + 9; i = e + 17; u = t + 8; j = a + 15; p = m + 18; k = s + 15; m = c + 14; h = p + 7; t = c + 11; b = k + 12; a = u + 14; s = h + 3; c = 18. Given that c = 18, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = s + 15 to b, which gives b = s + 27.\n2. Substitute s = h + 3 to b, which gives b = h + 30.\n3. Substitute h = p + 7 to b, which gives b = p + 37.\n4. Substitute p = m + 18 to b, which gives b = m + 55.\n5. Substitute m = c + 14 to b, which gives b = c + 69.\n6. Substitute c = 18 to b, which gives b = 87.\n\nThus, the final answer is b = \\boxed{87}.",
"index": 15564,
"question": "Suppose a collection of variables is related by the following definitions: e = j + 9; i = e + 17; u = t + 8; j = a + 15; p = m + 18; k = s + 15; m = c + 14; h = p + 7; t = c + 11; b = k + 12; a = u + 14; s = h + 3; c = 18. Given that c = 18, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"s": "t + 6", "m": "s + 3", "h": "m + 8", "f": "h + 16", "j": "f + 5", "v": "j + 7", "k": "t + 1", "x": "k + 12", "r": "x + 11", "y": "r + 2", "g": "y + 2", "i": "g + 5", "t": 4}, "premises": {"t": 4}, "target": "v"}, "answer": {"steps": [["j", "f + 5", "f + 12"], ["f", "h + 16", "h + 28"], ["h", "m + 8", "m + 36"], ["m", "s + 3", "s + 39"], ["s", "t + 6", "t + 45"], ["t", 4, "49"]], "target_var_name": "v", "target_value": 49, "value_dict": {"t": 4}, "is_reverse": true}} | 15,565 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = j + 7; i = g + 5; m = s + 3; h = m + 8; t = 4; f = h + 16; r = x + 11; g = y + 2; s = t + 6; x = k + 12; y = r + 2; k = t + 1; j = f + 5. If t = 4, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = f + 5 to v, which gives v = f + 12.\n2. Substitute f = h + 16 to v, which gives v = h + 28.\n3. Substitute h = m + 8 to v, which gives v = m + 36.\n4. Substitute m = s + 3 to v, which gives v = s + 39.\n5. Substitute s = t + 6 to v, which gives v = t + 45.\n6. Substitute t = 4 to v, which gives v = 49.\n\nThus, the final answer is v = \\boxed{49}.",
"index": 15565,
"question": "Consider a system of variables where each variable is defined as follows: v = j + 7; i = g + 5; m = s + 3; h = m + 8; t = 4; f = h + 16; r = x + 11; g = y + 2; s = t + 6; x = k + 12; y = r + 2; k = t + 1; j = f + 5. If t = 4, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"e": "z + 12", "g": "e + 11", "q": "g + 3", "p": "q + 7", "s": "p + 3", "j": "s + 15", "d": "z + 6", "y": "d + 13", "v": "y + 3", "h": "v + 17", "u": "h + 3", "i": "u + 3", "z": 14}, "premises": {"z": 14}, "target": "j"}, "answer": {"steps": [["s", "p + 3", "p + 18"], ["p", "q + 7", "q + 25"], ["q", "g + 3", "g + 28"], ["g", "e + 11", "e + 39"], ["e", "z + 12", "z + 51"], ["z", 14, "65"]], "target_var_name": "j", "target_value": 65, "value_dict": {"z": 14}, "is_reverse": true}} | 15,566 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = s + 15; d = z + 6; e = z + 12; h = v + 17; u = h + 3; s = p + 3; v = y + 3; y = d + 13; i = u + 3; p = q + 7; z = 14; g = e + 11; q = g + 3. If z = 14, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = p + 3 to j, which gives j = p + 18.\n2. Substitute p = q + 7 to j, which gives j = q + 25.\n3. Substitute q = g + 3 to j, which gives j = g + 28.\n4. Substitute g = e + 11 to j, which gives j = e + 39.\n5. Substitute e = z + 12 to j, which gives j = z + 51.\n6. Substitute z = 14 to j, which gives j = 65.\n\nThus, the final answer is j = \\boxed{65}.",
"index": 15566,
"question": "Consider a system of variables where each variable is defined as follows: j = s + 15; d = z + 6; e = z + 12; h = v + 17; u = h + 3; s = p + 3; v = y + 3; y = d + 13; i = u + 3; p = q + 7; z = 14; g = e + 11; q = g + 3. If z = 14, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"l": "j + 4", "n": "l + 7", "e": "n + 5", "g": "e + 18", "t": "g + 20", "d": "t + 16", "v": "j + 6", "w": "v + 2", "p": "w + 1", "y": "p + 14", "o": "y + 15", "x": "o + 20", "j": 3}, "premises": {"j": 3}, "target": "d"}, "answer": {"steps": [["t", "g + 20", "g + 36"], ["g", "e + 18", "e + 54"], ["e", "n + 5", "n + 59"], ["n", "l + 7", "l + 66"], ["l", "j + 4", "j + 70"], ["j", 3, "73"]], "target_var_name": "d", "target_value": 73, "value_dict": {"j": 3}, "is_reverse": true}} | 15,567 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = 3; g = e + 18; e = n + 5; l = j + 4; y = p + 14; v = j + 6; d = t + 16; x = o + 20; o = y + 15; p = w + 1; t = g + 20; w = v + 2; n = l + 7. If j = 3, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = g + 20 to d, which gives d = g + 36.\n2. Substitute g = e + 18 to d, which gives d = e + 54.\n3. Substitute e = n + 5 to d, which gives d = n + 59.\n4. Substitute n = l + 7 to d, which gives d = l + 66.\n5. Substitute l = j + 4 to d, which gives d = j + 70.\n6. Substitute j = 3 to d, which gives d = 73.\n\nThus, the final answer is d = \\boxed{73}.",
"index": 15567,
"question": "Consider a system of variables where each variable is defined as follows: j = 3; g = e + 18; e = n + 5; l = j + 4; y = p + 14; v = j + 6; d = t + 16; x = o + 20; o = y + 15; p = w + 1; t = g + 20; w = v + 2; n = l + 7. If j = 3, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"c": "j + 16", "d": "c + 5", "u": "d + 3", "q": "u + 14", "h": "q + 5", "a": "h + 3", "i": "j + 8", "k": "i + 11", "s": "k + 19", "t": "s + 9", "x": "t + 18", "o": "x + 4", "j": 18}, "premises": {"j": 18}, "target": "a"}, "answer": {"steps": [["h", "q + 5", "q + 8"], ["q", "u + 14", "u + 22"], ["u", "d + 3", "d + 25"], ["d", "c + 5", "c + 30"], ["c", "j + 16", "j + 46"], ["j", 18, "64"]], "target_var_name": "a", "target_value": 64, "value_dict": {"j": 18}, "is_reverse": true}} | 15,568 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = x + 4; d = c + 5; h = q + 5; t = s + 9; a = h + 3; s = k + 19; c = j + 16; x = t + 18; k = i + 11; u = d + 3; q = u + 14; j = 18; i = j + 8. Given that j = 18, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = q + 5 to a, which gives a = q + 8.\n2. Substitute q = u + 14 to a, which gives a = u + 22.\n3. Substitute u = d + 3 to a, which gives a = d + 25.\n4. Substitute d = c + 5 to a, which gives a = c + 30.\n5. Substitute c = j + 16 to a, which gives a = j + 46.\n6. Substitute j = 18 to a, which gives a = 64.\n\nThus, the final answer is a = \\boxed{64}.",
"index": 15568,
"question": "Suppose a collection of variables is related by the following definitions: o = x + 4; d = c + 5; h = q + 5; t = s + 9; a = h + 3; s = k + 19; c = j + 16; x = t + 18; k = i + 11; u = d + 3; q = u + 14; j = 18; i = j + 8. Given that j = 18, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"h": "l + 15", "j": "h + 13", "n": "j + 10", "y": "n + 6", "g": "y + 17", "k": "g + 20", "b": "l + 20", "v": "b + 2", "t": "v + 4", "s": "t + 12", "d": "s + 20", "z": "d + 5", "l": 9}, "premises": {"l": 9}, "target": "k"}, "answer": {"steps": [["g", "y + 17", "y + 37"], ["y", "n + 6", "n + 43"], ["n", "j + 10", "j + 53"], ["j", "h + 13", "h + 66"], ["h", "l + 15", "l + 81"], ["l", 9, "90"]], "target_var_name": "k", "target_value": 90, "value_dict": {"l": 9}, "is_reverse": true}} | 15,569 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = d + 5; j = h + 13; v = b + 2; l = 9; y = n + 6; h = l + 15; d = s + 20; b = l + 20; n = j + 10; g = y + 17; k = g + 20; t = v + 4; s = t + 12. If l = 9, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = y + 17 to k, which gives k = y + 37.\n2. Substitute y = n + 6 to k, which gives k = n + 43.\n3. Substitute n = j + 10 to k, which gives k = j + 53.\n4. Substitute j = h + 13 to k, which gives k = h + 66.\n5. Substitute h = l + 15 to k, which gives k = l + 81.\n6. Substitute l = 9 to k, which gives k = 90.\n\nThus, the final answer is k = \\boxed{90}.",
"index": 15569,
"question": "Consider a system of variables where each variable is defined as follows: z = d + 5; j = h + 13; v = b + 2; l = 9; y = n + 6; h = l + 15; d = s + 20; b = l + 20; n = j + 10; g = y + 17; k = g + 20; t = v + 4; s = t + 12. If l = 9, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"c": "l + 6", "a": "c + 6", "b": "a + 2", "w": "b + 14", "s": "w + 14", "x": "s + 16", "n": "l + 16", "k": "n + 2", "e": "k + 18", "i": "e + 9", "f": "i + 10", "r": "f + 2", "l": 1}, "premises": {"l": 1}, "target": "x"}, "answer": {"steps": [["s", "w + 14", "w + 30"], ["w", "b + 14", "b + 44"], ["b", "a + 2", "a + 46"], ["a", "c + 6", "c + 52"], ["c", "l + 6", "l + 58"], ["l", 1, "59"]], "target_var_name": "x", "target_value": 59, "value_dict": {"l": 1}, "is_reverse": true}} | 15,570 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = k + 18; s = w + 14; k = n + 2; n = l + 16; r = f + 2; w = b + 14; i = e + 9; f = i + 10; x = s + 16; c = l + 6; a = c + 6; l = 1; b = a + 2. Given that l = 1, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = w + 14 to x, which gives x = w + 30.\n2. Substitute w = b + 14 to x, which gives x = b + 44.\n3. Substitute b = a + 2 to x, which gives x = a + 46.\n4. Substitute a = c + 6 to x, which gives x = c + 52.\n5. Substitute c = l + 6 to x, which gives x = l + 58.\n6. Substitute l = 1 to x, which gives x = 59.\n\nThus, the final answer is x = \\boxed{59}.",
"index": 15570,
"question": "Suppose a collection of variables is related by the following definitions: e = k + 18; s = w + 14; k = n + 2; n = l + 16; r = f + 2; w = b + 14; i = e + 9; f = i + 10; x = s + 16; c = l + 6; a = c + 6; l = 1; b = a + 2. Given that l = 1, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"c": "e + 3", "t": "c + 12", "s": "t + 7", "k": "s + 18", "y": "k + 2", "g": "y + 11", "b": "e + 2", "j": "b + 18", "w": "j + 17", "v": "w + 1", "h": "v + 19", "p": "h + 12", "e": 12}, "premises": {"e": 12}, "target": "g"}, "answer": {"steps": [["y", "k + 2", "k + 13"], ["k", "s + 18", "s + 31"], ["s", "t + 7", "t + 38"], ["t", "c + 12", "c + 50"], ["c", "e + 3", "e + 53"], ["e", 12, "65"]], "target_var_name": "g", "target_value": 65, "value_dict": {"e": 12}, "is_reverse": true}} | 15,571 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = v + 19; w = j + 17; v = w + 1; c = e + 3; y = k + 2; k = s + 18; t = c + 12; e = 12; p = h + 12; g = y + 11; j = b + 18; b = e + 2; s = t + 7. If e = 12, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = k + 2 to g, which gives g = k + 13.\n2. Substitute k = s + 18 to g, which gives g = s + 31.\n3. Substitute s = t + 7 to g, which gives g = t + 38.\n4. Substitute t = c + 12 to g, which gives g = c + 50.\n5. Substitute c = e + 3 to g, which gives g = e + 53.\n6. Substitute e = 12 to g, which gives g = 65.\n\nThus, the final answer is g = \\boxed{65}.",
"index": 15571,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = v + 19; w = j + 17; v = w + 1; c = e + 3; y = k + 2; k = s + 18; t = c + 12; e = 12; p = h + 12; g = y + 11; j = b + 18; b = e + 2; s = t + 7. If e = 12, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"p": "j + 16", "a": "p + 19", "v": "a + 15", "w": "v + 14", "b": "w + 18", "m": "b + 12", "i": "j + 18", "y": "i + 1", "r": "y + 18", "n": "r + 3", "t": "n + 17", "l": "t + 9", "j": 13}, "premises": {"j": 13}, "target": "m"}, "answer": {"steps": [["b", "w + 18", "w + 30"], ["w", "v + 14", "v + 44"], ["v", "a + 15", "a + 59"], ["a", "p + 19", "p + 78"], ["p", "j + 16", "j + 94"], ["j", 13, "107"]], "target_var_name": "m", "target_value": 107, "value_dict": {"j": 13}, "is_reverse": true}} | 15,572 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = j + 16; n = r + 3; j = 13; a = p + 19; v = a + 15; m = b + 12; b = w + 18; t = n + 17; w = v + 14; i = j + 18; r = y + 18; l = t + 9; y = i + 1. If j = 13, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 107,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = w + 18 to m, which gives m = w + 30.\n2. Substitute w = v + 14 to m, which gives m = v + 44.\n3. Substitute v = a + 15 to m, which gives m = a + 59.\n4. Substitute a = p + 19 to m, which gives m = p + 78.\n5. Substitute p = j + 16 to m, which gives m = j + 94.\n6. Substitute j = 13 to m, which gives m = 107.\n\nThus, the final answer is m = \\boxed{107}.",
"index": 15572,
"question": "Consider a system of variables where each variable is defined as follows: p = j + 16; n = r + 3; j = 13; a = p + 19; v = a + 15; m = b + 12; b = w + 18; t = n + 17; w = v + 14; i = j + 18; r = y + 18; l = t + 9; y = i + 1. If j = 13, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"q": "n + 20", "o": "q + 6", "a": "o + 16", "k": "a + 13", "t": "k + 7", "v": "t + 4", "e": "n + 15", "z": "e + 10", "y": "z + 7", "g": "y + 4", "l": "g + 1", "f": "l + 14", "n": 1}, "premises": {"n": 1}, "target": "v"}, "answer": {"steps": [["t", "k + 7", "k + 11"], ["k", "a + 13", "a + 24"], ["a", "o + 16", "o + 40"], ["o", "q + 6", "q + 46"], ["q", "n + 20", "n + 66"], ["n", 1, "67"]], "target_var_name": "v", "target_value": 67, "value_dict": {"n": 1}, "is_reverse": true}} | 15,573 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = e + 10; o = q + 6; g = y + 4; t = k + 7; e = n + 15; v = t + 4; l = g + 1; k = a + 13; q = n + 20; y = z + 7; n = 1; a = o + 16; f = l + 14. If n = 1, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = k + 7 to v, which gives v = k + 11.\n2. Substitute k = a + 13 to v, which gives v = a + 24.\n3. Substitute a = o + 16 to v, which gives v = o + 40.\n4. Substitute o = q + 6 to v, which gives v = q + 46.\n5. Substitute q = n + 20 to v, which gives v = n + 66.\n6. Substitute n = 1 to v, which gives v = 67.\n\nThus, the final answer is v = \\boxed{67}.",
"index": 15573,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = e + 10; o = q + 6; g = y + 4; t = k + 7; e = n + 15; v = t + 4; l = g + 1; k = a + 13; q = n + 20; y = z + 7; n = 1; a = o + 16; f = l + 14. If n = 1, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"r": "z + 2", "m": "r + 2", "v": "m + 12", "b": "v + 14", "n": "b + 8", "d": "n + 8", "t": "z + 16", "s": "t + 14", "g": "s + 11", "c": "g + 10", "u": "c + 18", "q": "u + 8", "z": 3}, "premises": {"z": 3}, "target": "d"}, "answer": {"steps": [["n", "b + 8", "b + 16"], ["b", "v + 14", "v + 30"], ["v", "m + 12", "m + 42"], ["m", "r + 2", "r + 44"], ["r", "z + 2", "z + 46"], ["z", 3, "49"]], "target_var_name": "d", "target_value": 49, "value_dict": {"z": 3}, "is_reverse": true}} | 15,574 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = m + 12; s = t + 14; n = b + 8; d = n + 8; g = s + 11; m = r + 2; b = v + 14; u = c + 18; c = g + 10; z = 3; q = u + 8; r = z + 2; t = z + 16. If z = 3, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = b + 8 to d, which gives d = b + 16.\n2. Substitute b = v + 14 to d, which gives d = v + 30.\n3. Substitute v = m + 12 to d, which gives d = m + 42.\n4. Substitute m = r + 2 to d, which gives d = r + 44.\n5. Substitute r = z + 2 to d, which gives d = z + 46.\n6. Substitute z = 3 to d, which gives d = 49.\n\nThus, the final answer is d = \\boxed{49}.",
"index": 15574,
"question": "Consider a system of variables where each variable is defined as follows: v = m + 12; s = t + 14; n = b + 8; d = n + 8; g = s + 11; m = r + 2; b = v + 14; u = c + 18; c = g + 10; z = 3; q = u + 8; r = z + 2; t = z + 16. If z = 3, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"a": "z + 3", "s": "a + 20", "d": "s + 2", "u": "d + 5", "p": "u + 8", "j": "p + 8", "y": "z + 1", "r": "y + 17", "n": "r + 14", "x": "n + 2", "l": "x + 19", "o": "l + 17", "z": 2}, "premises": {"z": 2}, "target": "j"}, "answer": {"steps": [["p", "u + 8", "u + 16"], ["u", "d + 5", "d + 21"], ["d", "s + 2", "s + 23"], ["s", "a + 20", "a + 43"], ["a", "z + 3", "z + 46"], ["z", 2, "48"]], "target_var_name": "j", "target_value": 48, "value_dict": {"z": 2}, "is_reverse": true}} | 15,575 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = s + 2; p = u + 8; u = d + 5; x = n + 2; j = p + 8; a = z + 3; z = 2; o = l + 17; s = a + 20; r = y + 17; y = z + 1; n = r + 14; l = x + 19. Given that z = 2, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = u + 8 to j, which gives j = u + 16.\n2. Substitute u = d + 5 to j, which gives j = d + 21.\n3. Substitute d = s + 2 to j, which gives j = s + 23.\n4. Substitute s = a + 20 to j, which gives j = a + 43.\n5. Substitute a = z + 3 to j, which gives j = z + 46.\n6. Substitute z = 2 to j, which gives j = 48.\n\nThus, the final answer is j = \\boxed{48}.",
"index": 15575,
"question": "Suppose a collection of variables is related by the following definitions: d = s + 2; p = u + 8; u = d + 5; x = n + 2; j = p + 8; a = z + 3; z = 2; o = l + 17; s = a + 20; r = y + 17; y = z + 1; n = r + 14; l = x + 19. Given that z = 2, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"h": "a + 19", "m": "h + 9", "b": "m + 11", "o": "b + 13", "n": "o + 2", "i": "n + 12", "s": "a + 15", "g": "s + 2", "v": "g + 1", "j": "v + 2", "t": "j + 11", "r": "t + 5", "a": 3}, "premises": {"a": 3}, "target": "i"}, "answer": {"steps": [["n", "o + 2", "o + 14"], ["o", "b + 13", "b + 27"], ["b", "m + 11", "m + 38"], ["m", "h + 9", "h + 47"], ["h", "a + 19", "a + 66"], ["a", 3, "69"]], "target_var_name": "i", "target_value": 69, "value_dict": {"a": 3}, "is_reverse": true}} | 15,576 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = h + 9; n = o + 2; j = v + 2; b = m + 11; g = s + 2; i = n + 12; t = j + 11; h = a + 19; s = a + 15; o = b + 13; a = 3; r = t + 5; v = g + 1. If a = 3, determine the 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 n = o + 2 to i, which gives i = o + 14.\n2. Substitute o = b + 13 to i, which gives i = b + 27.\n3. Substitute b = m + 11 to i, which gives i = m + 38.\n4. Substitute m = h + 9 to i, which gives i = h + 47.\n5. Substitute h = a + 19 to i, which gives i = a + 66.\n6. Substitute a = 3 to i, which gives i = 69.\n\nThus, the final answer is i = \\boxed{69}.",
"index": 15576,
"question": "Consider a system of variables where each variable is defined as follows: m = h + 9; n = o + 2; j = v + 2; b = m + 11; g = s + 2; i = n + 12; t = j + 11; h = a + 19; s = a + 15; o = b + 13; a = 3; r = t + 5; v = g + 1. If a = 3, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"t": "a + 10", "b": "t + 17", "x": "b + 2", "m": "x + 9", "o": "m + 19", "e": "o + 18", "s": "a + 19", "i": "s + 10", "f": "i + 4", "d": "f + 5", "h": "d + 10", "r": "h + 19", "a": 10}, "premises": {"a": 10}, "target": "e"}, "answer": {"steps": [["o", "m + 19", "m + 37"], ["m", "x + 9", "x + 46"], ["x", "b + 2", "b + 48"], ["b", "t + 17", "t + 65"], ["t", "a + 10", "a + 75"], ["a", 10, "85"]], "target_var_name": "e", "target_value": 85, "value_dict": {"a": 10}, "is_reverse": true}} | 15,577 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = f + 5; h = d + 10; x = b + 2; t = a + 10; s = a + 19; r = h + 19; e = o + 18; b = t + 17; a = 10; f = i + 4; i = s + 10; m = x + 9; o = m + 19. If a = 10, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = m + 19 to e, which gives e = m + 37.\n2. Substitute m = x + 9 to e, which gives e = x + 46.\n3. Substitute x = b + 2 to e, which gives e = b + 48.\n4. Substitute b = t + 17 to e, which gives e = t + 65.\n5. Substitute t = a + 10 to e, which gives e = a + 75.\n6. Substitute a = 10 to e, which gives e = 85.\n\nThus, the final answer is e = \\boxed{85}.",
"index": 15577,
"question": "Consider a system of variables where each variable is defined as follows: d = f + 5; h = d + 10; x = b + 2; t = a + 10; s = a + 19; r = h + 19; e = o + 18; b = t + 17; a = 10; f = i + 4; i = s + 10; m = x + 9; o = m + 19. If a = 10, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"t": "g + 20", "c": "t + 6", "w": "c + 20", "p": "w + 14", "k": "p + 15", "o": "k + 1", "x": "g + 8", "n": "x + 2", "z": "n + 19", "u": "z + 12", "v": "u + 13", "s": "v + 19", "g": 12}, "premises": {"g": 12}, "target": "o"}, "answer": {"steps": [["k", "p + 15", "p + 16"], ["p", "w + 14", "w + 30"], ["w", "c + 20", "c + 50"], ["c", "t + 6", "t + 56"], ["t", "g + 20", "g + 76"], ["g", 12, "88"]], "target_var_name": "o", "target_value": 88, "value_dict": {"g": 12}, "is_reverse": true}} | 15,578 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = v + 19; c = t + 6; t = g + 20; z = n + 19; o = k + 1; x = g + 8; g = 12; w = c + 20; u = z + 12; n = x + 2; v = u + 13; p = w + 14; k = p + 15. Given that g = 12, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = p + 15 to o, which gives o = p + 16.\n2. Substitute p = w + 14 to o, which gives o = w + 30.\n3. Substitute w = c + 20 to o, which gives o = c + 50.\n4. Substitute c = t + 6 to o, which gives o = t + 56.\n5. Substitute t = g + 20 to o, which gives o = g + 76.\n6. Substitute g = 12 to o, which gives o = 88.\n\nThus, the final answer is o = \\boxed{88}.",
"index": 15578,
"question": "Suppose a collection of variables is related by the following definitions: s = v + 19; c = t + 6; t = g + 20; z = n + 19; o = k + 1; x = g + 8; g = 12; w = c + 20; u = z + 12; n = x + 2; v = u + 13; p = w + 14; k = p + 15. Given that g = 12, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"r": "d + 4", "l": "r + 1", "g": "l + 6", "m": "g + 18", "h": "m + 7", "s": "h + 1", "y": "d + 20", "e": "y + 20", "v": "e + 2", "j": "v + 3", "b": "j + 7", "u": "b + 6", "d": 7}, "premises": {"d": 7}, "target": "s"}, "answer": {"steps": [["h", "m + 7", "m + 8"], ["m", "g + 18", "g + 26"], ["g", "l + 6", "l + 32"], ["l", "r + 1", "r + 33"], ["r", "d + 4", "d + 37"], ["d", 7, "44"]], "target_var_name": "s", "target_value": 44, "value_dict": {"d": 7}, "is_reverse": true}} | 15,579 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = v + 3; g = l + 6; u = b + 6; r = d + 4; v = e + 2; y = d + 20; m = g + 18; s = h + 1; l = r + 1; h = m + 7; d = 7; b = j + 7; e = y + 20. Given that d = 7, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 44,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = m + 7 to s, which gives s = m + 8.\n2. Substitute m = g + 18 to s, which gives s = g + 26.\n3. Substitute g = l + 6 to s, which gives s = l + 32.\n4. Substitute l = r + 1 to s, which gives s = r + 33.\n5. Substitute r = d + 4 to s, which gives s = d + 37.\n6. Substitute d = 7 to s, which gives s = 44.\n\nThus, the final answer is s = \\boxed{44}.",
"index": 15579,
"question": "Suppose a collection of variables is related by the following definitions: j = v + 3; g = l + 6; u = b + 6; r = d + 4; v = e + 2; y = d + 20; m = g + 18; s = h + 1; l = r + 1; h = m + 7; d = 7; b = j + 7; e = y + 20. Given that d = 7, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"n": "d + 4", "v": "n + 13", "f": "v + 11", "a": "f + 12", "m": "a + 6", "g": "m + 3", "l": "d + 16", "w": "l + 9", "b": "w + 6", "o": "b + 1", "k": "o + 20", "x": "k + 19", "d": 20}, "premises": {"d": 20}, "target": "g"}, "answer": {"steps": [["m", "a + 6", "a + 9"], ["a", "f + 12", "f + 21"], ["f", "v + 11", "v + 32"], ["v", "n + 13", "n + 45"], ["n", "d + 4", "d + 49"], ["d", 20, "69"]], "target_var_name": "g", "target_value": 69, "value_dict": {"d": 20}, "is_reverse": true}} | 15,580 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = m + 3; o = b + 1; v = n + 13; w = l + 9; b = w + 6; m = a + 6; a = f + 12; f = v + 11; l = d + 16; k = o + 20; d = 20; x = k + 19; n = d + 4. Given that d = 20, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = a + 6 to g, which gives g = a + 9.\n2. Substitute a = f + 12 to g, which gives g = f + 21.\n3. Substitute f = v + 11 to g, which gives g = v + 32.\n4. Substitute v = n + 13 to g, which gives g = n + 45.\n5. Substitute n = d + 4 to g, which gives g = d + 49.\n6. Substitute d = 20 to g, which gives g = 69.\n\nThus, the final answer is g = \\boxed{69}.",
"index": 15580,
"question": "Suppose a collection of variables is related by the following definitions: g = m + 3; o = b + 1; v = n + 13; w = l + 9; b = w + 6; m = a + 6; a = f + 12; f = v + 11; l = d + 16; k = o + 20; d = 20; x = k + 19; n = d + 4. Given that d = 20, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"u": "o + 1", "b": "u + 11", "t": "b + 11", "h": "t + 2", "g": "h + 7", "q": "g + 5", "w": "o + 18", "v": "w + 19", "r": "v + 2", "n": "r + 13", "m": "n + 13", "e": "m + 4", "o": 15}, "premises": {"o": 15}, "target": "q"}, "answer": {"steps": [["g", "h + 7", "h + 12"], ["h", "t + 2", "t + 14"], ["t", "b + 11", "b + 25"], ["b", "u + 11", "u + 36"], ["u", "o + 1", "o + 37"], ["o", 15, "52"]], "target_var_name": "q", "target_value": 52, "value_dict": {"o": 15}, "is_reverse": true}} | 15,581 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = 15; h = t + 2; n = r + 13; v = w + 19; g = h + 7; t = b + 11; r = v + 2; w = o + 18; m = n + 13; e = m + 4; u = o + 1; q = g + 5; b = u + 11. If o = 15, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = h + 7 to q, which gives q = h + 12.\n2. Substitute h = t + 2 to q, which gives q = t + 14.\n3. Substitute t = b + 11 to q, which gives q = b + 25.\n4. Substitute b = u + 11 to q, which gives q = u + 36.\n5. Substitute u = o + 1 to q, which gives q = o + 37.\n6. Substitute o = 15 to q, which gives q = 52.\n\nThus, the final answer is q = \\boxed{52}.",
"index": 15581,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = 15; h = t + 2; n = r + 13; v = w + 19; g = h + 7; t = b + 11; r = v + 2; w = o + 18; m = n + 13; e = m + 4; u = o + 1; q = g + 5; b = u + 11. If o = 15, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"k": "e + 7", "f": "k + 20", "y": "f + 11", "b": "y + 7", "z": "b + 8", "c": "z + 9", "t": "e + 4", "a": "t + 13", "u": "a + 19", "m": "u + 3", "q": "m + 19", "r": "q + 13", "e": 9}, "premises": {"e": 9}, "target": "c"}, "answer": {"steps": [["z", "b + 8", "b + 17"], ["b", "y + 7", "y + 24"], ["y", "f + 11", "f + 35"], ["f", "k + 20", "k + 55"], ["k", "e + 7", "e + 62"], ["e", 9, "71"]], "target_var_name": "c", "target_value": 71, "value_dict": {"e": 9}, "is_reverse": true}} | 15,582 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = e + 7; y = f + 11; q = m + 19; f = k + 20; b = y + 7; t = e + 4; u = a + 19; r = q + 13; c = z + 9; e = 9; a = t + 13; m = u + 3; z = b + 8. If e = 9, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = b + 8 to c, which gives c = b + 17.\n2. Substitute b = y + 7 to c, which gives c = y + 24.\n3. Substitute y = f + 11 to c, which gives c = f + 35.\n4. Substitute f = k + 20 to c, which gives c = k + 55.\n5. Substitute k = e + 7 to c, which gives c = e + 62.\n6. Substitute e = 9 to c, which gives c = 71.\n\nThus, the final answer is c = \\boxed{71}.",
"index": 15582,
"question": "Consider a system of variables where each variable is defined as follows: k = e + 7; y = f + 11; q = m + 19; f = k + 20; b = y + 7; t = e + 4; u = a + 19; r = q + 13; c = z + 9; e = 9; a = t + 13; m = u + 3; z = b + 8. If e = 9, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"c": "v + 6", "y": "c + 18", "h": "y + 15", "s": "h + 3", "i": "s + 5", "j": "i + 14", "b": "v + 2", "f": "b + 5", "x": "f + 13", "a": "x + 13", "k": "a + 12", "u": "k + 4", "v": 4}, "premises": {"v": 4}, "target": "j"}, "answer": {"steps": [["i", "s + 5", "s + 19"], ["s", "h + 3", "h + 22"], ["h", "y + 15", "y + 37"], ["y", "c + 18", "c + 55"], ["c", "v + 6", "v + 61"], ["v", 4, "65"]], "target_var_name": "j", "target_value": 65, "value_dict": {"v": 4}, "is_reverse": true}} | 15,583 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = a + 12; i = s + 5; a = x + 13; f = b + 5; c = v + 6; y = c + 18; b = v + 2; v = 4; u = k + 4; x = f + 13; h = y + 15; j = i + 14; s = h + 3. If v = 4, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = s + 5 to j, which gives j = s + 19.\n2. Substitute s = h + 3 to j, which gives j = h + 22.\n3. Substitute h = y + 15 to j, which gives j = y + 37.\n4. Substitute y = c + 18 to j, which gives j = c + 55.\n5. Substitute c = v + 6 to j, which gives j = v + 61.\n6. Substitute v = 4 to j, which gives j = 65.\n\nThus, the final answer is j = \\boxed{65}.",
"index": 15583,
"question": "Consider a system of variables where each variable is defined as follows: k = a + 12; i = s + 5; a = x + 13; f = b + 5; c = v + 6; y = c + 18; b = v + 2; v = 4; u = k + 4; x = f + 13; h = y + 15; j = i + 14; s = h + 3. If v = 4, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"n": "u + 16", "a": "n + 8", "x": "a + 13", "w": "x + 4", "t": "w + 8", "j": "t + 10", "c": "u + 10", "z": "c + 19", "v": "z + 2", "q": "v + 2", "l": "q + 18", "h": "l + 1", "u": 9}, "premises": {"u": 9}, "target": "j"}, "answer": {"steps": [["t", "w + 8", "w + 18"], ["w", "x + 4", "x + 22"], ["x", "a + 13", "a + 35"], ["a", "n + 8", "n + 43"], ["n", "u + 16", "u + 59"], ["u", 9, "68"]], "target_var_name": "j", "target_value": 68, "value_dict": {"u": 9}, "is_reverse": true}} | 15,584 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = u + 10; l = q + 18; u = 9; q = v + 2; z = c + 19; h = l + 1; a = n + 8; n = u + 16; v = z + 2; t = w + 8; j = t + 10; x = a + 13; w = x + 4. If u = 9, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = w + 8 to j, which gives j = w + 18.\n2. Substitute w = x + 4 to j, which gives j = x + 22.\n3. Substitute x = a + 13 to j, which gives j = a + 35.\n4. Substitute a = n + 8 to j, which gives j = n + 43.\n5. Substitute n = u + 16 to j, which gives j = u + 59.\n6. Substitute u = 9 to j, which gives j = 68.\n\nThus, the final answer is j = \\boxed{68}.",
"index": 15584,
"question": "Consider a system of variables where each variable is defined as follows: c = u + 10; l = q + 18; u = 9; q = v + 2; z = c + 19; h = l + 1; a = n + 8; n = u + 16; v = z + 2; t = w + 8; j = t + 10; x = a + 13; w = x + 4. If u = 9, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"l": "s + 14", "n": "l + 13", "g": "n + 4", "i": "g + 18", "q": "i + 5", "b": "q + 9", "x": "s + 1", "d": "x + 3", "e": "d + 10", "o": "e + 13", "k": "o + 15", "p": "k + 18", "s": 16}, "premises": {"s": 16}, "target": "b"}, "answer": {"steps": [["q", "i + 5", "i + 14"], ["i", "g + 18", "g + 32"], ["g", "n + 4", "n + 36"], ["n", "l + 13", "l + 49"], ["l", "s + 14", "s + 63"], ["s", 16, "79"]], "target_var_name": "b", "target_value": 79, "value_dict": {"s": 16}, "is_reverse": true}} | 15,585 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = x + 3; s = 16; l = s + 14; x = s + 1; i = g + 18; b = q + 9; k = o + 15; g = n + 4; q = i + 5; p = k + 18; o = e + 13; n = l + 13; e = d + 10. If s = 16, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = i + 5 to b, which gives b = i + 14.\n2. Substitute i = g + 18 to b, which gives b = g + 32.\n3. Substitute g = n + 4 to b, which gives b = n + 36.\n4. Substitute n = l + 13 to b, which gives b = l + 49.\n5. Substitute l = s + 14 to b, which gives b = s + 63.\n6. Substitute s = 16 to b, which gives b = 79.\n\nThus, the final answer is b = \\boxed{79}.",
"index": 15585,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = x + 3; s = 16; l = s + 14; x = s + 1; i = g + 18; b = q + 9; k = o + 15; g = n + 4; q = i + 5; p = k + 18; o = e + 13; n = l + 13; e = d + 10. If s = 16, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"k": "n + 9", "e": "k + 6", "a": "e + 7", "u": "a + 8", "h": "u + 8", "s": "h + 16", "b": "n + 12", "y": "b + 5", "j": "y + 15", "r": "j + 17", "z": "r + 11", "m": "z + 8", "n": 15}, "premises": {"n": 15}, "target": "s"}, "answer": {"steps": [["h", "u + 8", "u + 24"], ["u", "a + 8", "a + 32"], ["a", "e + 7", "e + 39"], ["e", "k + 6", "k + 45"], ["k", "n + 9", "n + 54"], ["n", 15, "69"]], "target_var_name": "s", "target_value": 69, "value_dict": {"n": 15}, "is_reverse": true}} | 15,586 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = z + 8; n = 15; r = j + 17; a = e + 7; y = b + 5; k = n + 9; u = a + 8; s = h + 16; b = n + 12; e = k + 6; j = y + 15; z = r + 11; h = u + 8. If n = 15, determine the 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 h = u + 8 to s, which gives s = u + 24.\n2. Substitute u = a + 8 to s, which gives s = a + 32.\n3. Substitute a = e + 7 to s, which gives s = e + 39.\n4. Substitute e = k + 6 to s, which gives s = k + 45.\n5. Substitute k = n + 9 to s, which gives s = n + 54.\n6. Substitute n = 15 to s, which gives s = 69.\n\nThus, the final answer is s = \\boxed{69}.",
"index": 15586,
"question": "Consider a system of variables where each variable is defined as follows: m = z + 8; n = 15; r = j + 17; a = e + 7; y = b + 5; k = n + 9; u = a + 8; s = h + 16; b = n + 12; e = k + 6; j = y + 15; z = r + 11; h = u + 8. If n = 15, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"y": "q + 16", "a": "y + 16", "r": "a + 16", "w": "r + 10", "d": "w + 13", "m": "d + 13", "z": "q + 15", "j": "z + 5", "e": "j + 6", "x": "e + 20", "b": "x + 1", "o": "b + 7", "q": 8}, "premises": {"q": 8}, "target": "m"}, "answer": {"steps": [["d", "w + 13", "w + 26"], ["w", "r + 10", "r + 36"], ["r", "a + 16", "a + 52"], ["a", "y + 16", "y + 68"], ["y", "q + 16", "q + 84"], ["q", 8, "92"]], "target_var_name": "m", "target_value": 92, "value_dict": {"q": 8}, "is_reverse": true}} | 15,587 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = e + 20; e = j + 6; y = q + 16; m = d + 13; r = a + 16; o = b + 7; q = 8; d = w + 13; w = r + 10; z = q + 15; b = x + 1; j = z + 5; a = y + 16. If q = 8, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = w + 13 to m, which gives m = w + 26.\n2. Substitute w = r + 10 to m, which gives m = r + 36.\n3. Substitute r = a + 16 to m, which gives m = a + 52.\n4. Substitute a = y + 16 to m, which gives m = y + 68.\n5. Substitute y = q + 16 to m, which gives m = q + 84.\n6. Substitute q = 8 to m, which gives m = 92.\n\nThus, the final answer is m = \\boxed{92}.",
"index": 15587,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = e + 20; e = j + 6; y = q + 16; m = d + 13; r = a + 16; o = b + 7; q = 8; d = w + 13; w = r + 10; z = q + 15; b = x + 1; j = z + 5; a = y + 16. If q = 8, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"j": "m + 10", "l": "j + 14", "z": "l + 4", "q": "z + 7", "i": "q + 11", "s": "i + 4", "c": "m + 1", "v": "c + 18", "t": "v + 4", "e": "t + 20", "p": "e + 2", "a": "p + 11", "m": 8}, "premises": {"m": 8}, "target": "s"}, "answer": {"steps": [["i", "q + 11", "q + 15"], ["q", "z + 7", "z + 22"], ["z", "l + 4", "l + 26"], ["l", "j + 14", "j + 40"], ["j", "m + 10", "m + 50"], ["m", 8, "58"]], "target_var_name": "s", "target_value": 58, "value_dict": {"m": 8}, "is_reverse": true}} | 15,588 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = t + 20; s = i + 4; t = v + 4; z = l + 4; l = j + 14; m = 8; i = q + 11; a = p + 11; c = m + 1; q = z + 7; p = e + 2; v = c + 18; j = m + 10. If m = 8, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = q + 11 to s, which gives s = q + 15.\n2. Substitute q = z + 7 to s, which gives s = z + 22.\n3. Substitute z = l + 4 to s, which gives s = l + 26.\n4. Substitute l = j + 14 to s, which gives s = j + 40.\n5. Substitute j = m + 10 to s, which gives s = m + 50.\n6. Substitute m = 8 to s, which gives s = 58.\n\nThus, the final answer is s = \\boxed{58}.",
"index": 15588,
"question": "Consider a system of variables where each variable is defined as follows: e = t + 20; s = i + 4; t = v + 4; z = l + 4; l = j + 14; m = 8; i = q + 11; a = p + 11; c = m + 1; q = z + 7; p = e + 2; v = c + 18; j = m + 10. If m = 8, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"v": "b + 15", "u": "v + 11", "n": "u + 19", "l": "n + 3", "t": "l + 11", "m": "t + 12", "q": "b + 15", "d": "q + 17", "e": "d + 18", "p": "e + 6", "s": "p + 16", "y": "s + 19", "b": 3}, "premises": {"b": 3}, "target": "m"}, "answer": {"steps": [["t", "l + 11", "l + 23"], ["l", "n + 3", "n + 26"], ["n", "u + 19", "u + 45"], ["u", "v + 11", "v + 56"], ["v", "b + 15", "b + 71"], ["b", 3, "74"]], "target_var_name": "m", "target_value": 74, "value_dict": {"b": 3}, "is_reverse": true}} | 15,589 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = v + 11; l = n + 3; b = 3; y = s + 19; q = b + 15; d = q + 17; n = u + 19; m = t + 12; v = b + 15; e = d + 18; s = p + 16; p = e + 6; t = l + 11. If b = 3, determine the 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 t = l + 11 to m, which gives m = l + 23.\n2. Substitute l = n + 3 to m, which gives m = n + 26.\n3. Substitute n = u + 19 to m, which gives m = u + 45.\n4. Substitute u = v + 11 to m, which gives m = v + 56.\n5. Substitute v = b + 15 to m, which gives m = b + 71.\n6. Substitute b = 3 to m, which gives m = 74.\n\nThus, the final answer is m = \\boxed{74}.",
"index": 15589,
"question": "Consider a system of variables where each variable is defined as follows: u = v + 11; l = n + 3; b = 3; y = s + 19; q = b + 15; d = q + 17; n = u + 19; m = t + 12; v = b + 15; e = d + 18; s = p + 16; p = e + 6; t = l + 11. If b = 3, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"o": "z + 11", "b": "o + 7", "e": "b + 9", "t": "e + 20", "y": "t + 19", "g": "y + 17", "d": "z + 10", "n": "d + 18", "f": "n + 6", "i": "f + 6", "x": "i + 20", "s": "x + 16", "z": 20}, "premises": {"z": 20}, "target": "g"}, "answer": {"steps": [["y", "t + 19", "t + 36"], ["t", "e + 20", "e + 56"], ["e", "b + 9", "b + 65"], ["b", "o + 7", "o + 72"], ["o", "z + 11", "z + 83"], ["z", 20, "103"]], "target_var_name": "g", "target_value": 103, "value_dict": {"z": 20}, "is_reverse": true}} | 15,590 | 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 = 20; o = z + 11; d = z + 10; e = b + 9; b = o + 7; t = e + 20; n = d + 18; x = i + 20; s = x + 16; i = f + 6; f = n + 6; y = t + 19; g = y + 17. If z = 20, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 103,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = t + 19 to g, which gives g = t + 36.\n2. Substitute t = e + 20 to g, which gives g = e + 56.\n3. Substitute e = b + 9 to g, which gives g = b + 65.\n4. Substitute b = o + 7 to g, which gives g = o + 72.\n5. Substitute o = z + 11 to g, which gives g = z + 83.\n6. Substitute z = 20 to g, which gives g = 103.\n\nThus, the final answer is g = \\boxed{103}.",
"index": 15590,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = 20; o = z + 11; d = z + 10; e = b + 9; b = o + 7; t = e + 20; n = d + 18; x = i + 20; s = x + 16; i = f + 6; f = n + 6; y = t + 19; g = y + 17. If z = 20, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"r": "p + 16", "h": "r + 4", "m": "h + 3", "l": "m + 16", "w": "l + 2", "i": "w + 1", "f": "p + 14", "o": "f + 5", "z": "o + 6", "e": "z + 16", "a": "e + 13", "c": "a + 6", "p": 20}, "premises": {"p": 20}, "target": "i"}, "answer": {"steps": [["w", "l + 2", "l + 3"], ["l", "m + 16", "m + 19"], ["m", "h + 3", "h + 22"], ["h", "r + 4", "r + 26"], ["r", "p + 16", "p + 42"], ["p", 20, "62"]], "target_var_name": "i", "target_value": 62, "value_dict": {"p": 20}, "is_reverse": true}} | 15,591 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = p + 14; r = p + 16; l = m + 16; a = e + 13; w = l + 2; e = z + 16; o = f + 5; p = 20; h = r + 4; c = a + 6; z = o + 6; m = h + 3; i = w + 1. Given that p = 20, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = l + 2 to i, which gives i = l + 3.\n2. Substitute l = m + 16 to i, which gives i = m + 19.\n3. Substitute m = h + 3 to i, which gives i = h + 22.\n4. Substitute h = r + 4 to i, which gives i = r + 26.\n5. Substitute r = p + 16 to i, which gives i = p + 42.\n6. Substitute p = 20 to i, which gives i = 62.\n\nThus, the final answer is i = \\boxed{62}.",
"index": 15591,
"question": "Suppose a collection of variables is related by the following definitions: f = p + 14; r = p + 16; l = m + 16; a = e + 13; w = l + 2; e = z + 16; o = f + 5; p = 20; h = r + 4; c = a + 6; z = o + 6; m = h + 3; i = w + 1. Given that p = 20, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"x": "g + 14", "k": "x + 6", "p": "k + 18", "s": "p + 9", "n": "s + 13", "o": "n + 11", "t": "g + 15", "j": "t + 3", "v": "j + 7", "w": "v + 2", "b": "w + 15", "e": "b + 19", "g": 7}, "premises": {"g": 7}, "target": "o"}, "answer": {"steps": [["n", "s + 13", "s + 24"], ["s", "p + 9", "p + 33"], ["p", "k + 18", "k + 51"], ["k", "x + 6", "x + 57"], ["x", "g + 14", "g + 71"], ["g", 7, "78"]], "target_var_name": "o", "target_value": 78, "value_dict": {"g": 7}, "is_reverse": true}} | 15,592 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = g + 15; k = x + 6; w = v + 2; b = w + 15; s = p + 9; j = t + 3; g = 7; p = k + 18; v = j + 7; o = n + 11; e = b + 19; n = s + 13; x = g + 14. If g = 7, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = s + 13 to o, which gives o = s + 24.\n2. Substitute s = p + 9 to o, which gives o = p + 33.\n3. Substitute p = k + 18 to o, which gives o = k + 51.\n4. Substitute k = x + 6 to o, which gives o = x + 57.\n5. Substitute x = g + 14 to o, which gives o = g + 71.\n6. Substitute g = 7 to o, which gives o = 78.\n\nThus, the final answer is o = \\boxed{78}.",
"index": 15592,
"question": "Consider a system of variables where each variable is defined as follows: t = g + 15; k = x + 6; w = v + 2; b = w + 15; s = p + 9; j = t + 3; g = 7; p = k + 18; v = j + 7; o = n + 11; e = b + 19; n = s + 13; x = g + 14. If g = 7, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"y": "m + 5", "p": "y + 20", "u": "p + 12", "h": "u + 8", "l": "h + 1", "z": "l + 6", "x": "m + 5", "a": "x + 17", "e": "a + 11", "n": "e + 7", "o": "n + 15", "f": "o + 7", "m": 17}, "premises": {"m": 17}, "target": "z"}, "answer": {"steps": [["l", "h + 1", "h + 7"], ["h", "u + 8", "u + 15"], ["u", "p + 12", "p + 27"], ["p", "y + 20", "y + 47"], ["y", "m + 5", "m + 52"], ["m", 17, "69"]], "target_var_name": "z", "target_value": 69, "value_dict": {"m": 17}, "is_reverse": true}} | 15,593 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = x + 17; u = p + 12; z = l + 6; m = 17; e = a + 11; n = e + 7; l = h + 1; f = o + 7; h = u + 8; o = n + 15; y = m + 5; p = y + 20; x = m + 5. If m = 17, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = h + 1 to z, which gives z = h + 7.\n2. Substitute h = u + 8 to z, which gives z = u + 15.\n3. Substitute u = p + 12 to z, which gives z = p + 27.\n4. Substitute p = y + 20 to z, which gives z = y + 47.\n5. Substitute y = m + 5 to z, which gives z = m + 52.\n6. Substitute m = 17 to z, which gives z = 69.\n\nThus, the final answer is z = \\boxed{69}.",
"index": 15593,
"question": "Consider a system of variables where each variable is defined as follows: a = x + 17; u = p + 12; z = l + 6; m = 17; e = a + 11; n = e + 7; l = h + 1; f = o + 7; h = u + 8; o = n + 15; y = m + 5; p = y + 20; x = m + 5. If m = 17, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"s": "c + 6", "d": "s + 8", "h": "d + 4", "g": "h + 8", "j": "g + 1", "o": "j + 18", "x": "c + 14", "m": "x + 16", "v": "m + 16", "a": "v + 2", "i": "a + 12", "k": "i + 10", "c": 12}, "premises": {"c": 12}, "target": "o"}, "answer": {"steps": [["j", "g + 1", "g + 19"], ["g", "h + 8", "h + 27"], ["h", "d + 4", "d + 31"], ["d", "s + 8", "s + 39"], ["s", "c + 6", "c + 45"], ["c", 12, "57"]], "target_var_name": "o", "target_value": 57, "value_dict": {"c": 12}, "is_reverse": true}} | 15,594 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = s + 8; c = 12; h = d + 4; i = a + 12; o = j + 18; a = v + 2; x = c + 14; g = h + 8; v = m + 16; j = g + 1; s = c + 6; m = x + 16; k = i + 10. If c = 12, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = g + 1 to o, which gives o = g + 19.\n2. Substitute g = h + 8 to o, which gives o = h + 27.\n3. Substitute h = d + 4 to o, which gives o = d + 31.\n4. Substitute d = s + 8 to o, which gives o = s + 39.\n5. Substitute s = c + 6 to o, which gives o = c + 45.\n6. Substitute c = 12 to o, which gives o = 57.\n\nThus, the final answer is o = \\boxed{57}.",
"index": 15594,
"question": "Consider a system of variables where each variable is defined as follows: d = s + 8; c = 12; h = d + 4; i = a + 12; o = j + 18; a = v + 2; x = c + 14; g = h + 8; v = m + 16; j = g + 1; s = c + 6; m = x + 16; k = i + 10. If c = 12, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"m": "q + 1", "p": "m + 18", "k": "p + 2", "v": "k + 14", "c": "v + 4", "r": "c + 18", "l": "q + 6", "j": "l + 16", "f": "j + 19", "b": "f + 16", "d": "b + 16", "w": "d + 6", "q": 10}, "premises": {"q": 10}, "target": "r"}, "answer": {"steps": [["c", "v + 4", "v + 22"], ["v", "k + 14", "k + 36"], ["k", "p + 2", "p + 38"], ["p", "m + 18", "m + 56"], ["m", "q + 1", "q + 57"], ["q", 10, "67"]], "target_var_name": "r", "target_value": 67, "value_dict": {"q": 10}, "is_reverse": true}} | 15,595 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = j + 19; c = v + 4; w = d + 6; q = 10; v = k + 14; p = m + 18; d = b + 16; b = f + 16; k = p + 2; j = l + 16; l = q + 6; m = q + 1; r = c + 18. Given that q = 10, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = v + 4 to r, which gives r = v + 22.\n2. Substitute v = k + 14 to r, which gives r = k + 36.\n3. Substitute k = p + 2 to r, which gives r = p + 38.\n4. Substitute p = m + 18 to r, which gives r = m + 56.\n5. Substitute m = q + 1 to r, which gives r = q + 57.\n6. Substitute q = 10 to r, which gives r = 67.\n\nThus, the final answer is r = \\boxed{67}.",
"index": 15595,
"question": "Suppose a collection of variables is related by the following definitions: f = j + 19; c = v + 4; w = d + 6; q = 10; v = k + 14; p = m + 18; d = b + 16; b = f + 16; k = p + 2; j = l + 16; l = q + 6; m = q + 1; r = c + 18. Given that q = 10, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"f": "c + 5", "g": "f + 11", "j": "g + 19", "e": "j + 18", "p": "e + 4", "b": "p + 14", "u": "c + 1", "h": "u + 18", "m": "h + 3", "a": "m + 4", "n": "a + 13", "d": "n + 10", "c": 2}, "premises": {"c": 2}, "target": "b"}, "answer": {"steps": [["p", "e + 4", "e + 18"], ["e", "j + 18", "j + 36"], ["j", "g + 19", "g + 55"], ["g", "f + 11", "f + 66"], ["f", "c + 5", "c + 71"], ["c", 2, "73"]], "target_var_name": "b", "target_value": 73, "value_dict": {"c": 2}, "is_reverse": true}} | 15,596 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = g + 19; p = e + 4; f = c + 5; e = j + 18; b = p + 14; u = c + 1; a = m + 4; d = n + 10; n = a + 13; h = u + 18; c = 2; g = f + 11; m = h + 3. If c = 2, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = e + 4 to b, which gives b = e + 18.\n2. Substitute e = j + 18 to b, which gives b = j + 36.\n3. Substitute j = g + 19 to b, which gives b = g + 55.\n4. Substitute g = f + 11 to b, which gives b = f + 66.\n5. Substitute f = c + 5 to b, which gives b = c + 71.\n6. Substitute c = 2 to b, which gives b = 73.\n\nThus, the final answer is b = \\boxed{73}.",
"index": 15596,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = g + 19; p = e + 4; f = c + 5; e = j + 18; b = p + 14; u = c + 1; a = m + 4; d = n + 10; n = a + 13; h = u + 18; c = 2; g = f + 11; m = h + 3. If c = 2, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"w": "q + 14", "x": "w + 18", "n": "x + 1", "b": "n + 5", "c": "b + 3", "p": "c + 5", "o": "q + 18", "u": "o + 17", "l": "u + 3", "e": "l + 15", "s": "e + 1", "v": "s + 1", "q": 16}, "premises": {"q": 16}, "target": "p"}, "answer": {"steps": [["c", "b + 3", "b + 8"], ["b", "n + 5", "n + 13"], ["n", "x + 1", "x + 14"], ["x", "w + 18", "w + 32"], ["w", "q + 14", "q + 46"], ["q", 16, "62"]], "target_var_name": "p", "target_value": 62, "value_dict": {"q": 16}, "is_reverse": true}} | 15,597 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = q + 18; c = b + 3; x = w + 18; b = n + 5; w = q + 14; s = e + 1; p = c + 5; e = l + 15; n = x + 1; u = o + 17; v = s + 1; q = 16; l = u + 3. If q = 16, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = b + 3 to p, which gives p = b + 8.\n2. Substitute b = n + 5 to p, which gives p = n + 13.\n3. Substitute n = x + 1 to p, which gives p = x + 14.\n4. Substitute x = w + 18 to p, which gives p = w + 32.\n5. Substitute w = q + 14 to p, which gives p = q + 46.\n6. Substitute q = 16 to p, which gives p = 62.\n\nThus, the final answer is p = \\boxed{62}.",
"index": 15597,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = q + 18; c = b + 3; x = w + 18; b = n + 5; w = q + 14; s = e + 1; p = c + 5; e = l + 15; n = x + 1; u = o + 17; v = s + 1; q = 16; l = u + 3. If q = 16, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"j": "q + 19", "b": "j + 7", "f": "b + 8", "g": "f + 5", "l": "g + 17", "r": "l + 8", "p": "q + 19", "d": "p + 3", "c": "d + 13", "n": "c + 11", "y": "n + 4", "z": "y + 9", "q": 14}, "premises": {"q": 14}, "target": "r"}, "answer": {"steps": [["l", "g + 17", "g + 25"], ["g", "f + 5", "f + 30"], ["f", "b + 8", "b + 38"], ["b", "j + 7", "j + 45"], ["j", "q + 19", "q + 64"], ["q", 14, "78"]], "target_var_name": "r", "target_value": 78, "value_dict": {"q": 14}, "is_reverse": true}} | 15,598 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = l + 8; d = p + 3; b = j + 7; q = 14; z = y + 9; n = c + 11; l = g + 17; y = n + 4; g = f + 5; j = q + 19; c = d + 13; f = b + 8; p = q + 19. Given that q = 14, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = g + 17 to r, which gives r = g + 25.\n2. Substitute g = f + 5 to r, which gives r = f + 30.\n3. Substitute f = b + 8 to r, which gives r = b + 38.\n4. Substitute b = j + 7 to r, which gives r = j + 45.\n5. Substitute j = q + 19 to r, which gives r = q + 64.\n6. Substitute q = 14 to r, which gives r = 78.\n\nThus, the final answer is r = \\boxed{78}.",
"index": 15598,
"question": "Suppose a collection of variables is related by the following definitions: r = l + 8; d = p + 3; b = j + 7; q = 14; z = y + 9; n = c + 11; l = g + 17; y = n + 4; g = f + 5; j = q + 19; c = d + 13; f = b + 8; p = q + 19. Given that q = 14, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"y": "d + 7", "a": "y + 6", "n": "a + 17", "x": "n + 14", "b": "x + 4", "i": "b + 19", "o": "d + 7", "q": "o + 6", "m": "q + 13", "u": "m + 2", "z": "u + 17", "v": "z + 6", "d": 1}, "premises": {"d": 1}, "target": "i"}, "answer": {"steps": [["b", "x + 4", "x + 23"], ["x", "n + 14", "n + 37"], ["n", "a + 17", "a + 54"], ["a", "y + 6", "y + 60"], ["y", "d + 7", "d + 67"], ["d", 1, "68"]], "target_var_name": "i", "target_value": 68, "value_dict": {"d": 1}, "is_reverse": true}} | 15,599 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = z + 6; i = b + 19; z = u + 17; d = 1; b = x + 4; n = a + 17; x = n + 14; a = y + 6; u = m + 2; o = d + 7; q = o + 6; m = q + 13; y = d + 7. If d = 1, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = x + 4 to i, which gives i = x + 23.\n2. Substitute x = n + 14 to i, which gives i = n + 37.\n3. Substitute n = a + 17 to i, which gives i = a + 54.\n4. Substitute a = y + 6 to i, which gives i = y + 60.\n5. Substitute y = d + 7 to i, which gives i = d + 67.\n6. Substitute d = 1 to i, which gives i = 68.\n\nThus, the final answer is i = \\boxed{68}.",
"index": 15599,
"question": "Consider a system of variables where each variable is defined as follows: v = z + 6; i = b + 19; z = u + 17; d = 1; b = x + 4; n = a + 17; x = n + 14; a = y + 6; u = m + 2; o = d + 7; q = o + 6; m = q + 13; y = d + 7. If d = 1, determine the value of i.",
"split": "train"
} |
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