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": {"k": "o + 16", "q": "k + 8", "t": "q + 15", "b": "t + 7", "e": "b + 18", "y": "e + 18", "x": "o + 14", "h": "x + 4", "j": "h + 8", "d": "j + 2", "c": "d + 17", "v": "c + 4", "o": 20}, "premises": {"o": 20}, "target": "y"}, "answer": {"steps": [["e", "b + 18", "b + 36"], ["b", "t + 7", "t + 43"], ["t", "q + 15", "q + 58"], ["q", "k + 8", "k + 66"], ["k", "o + 16", "o + 82"], ["o", 20, "102"]], "target_var_name": "y", "target_value": 102, "value_dict": {"o": 20}, "is_reverse": true}} | 21,900 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = o + 16; h = x + 4; j = h + 8; x = o + 14; o = 20; y = e + 18; t = q + 15; v = c + 4; d = j + 2; c = d + 17; b = t + 7; q = k + 8; e = b + 18. If o = 20, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 102,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = b + 18 to y, which gives y = b + 36.\n2. Substitute b = t + 7 to y, which gives y = t + 43.\n3. Substitute t = q + 15 to y, which gives y = q + 58.\n4. Substitute q = k + 8 to y, which gives y = k + 66.\n5. Substitute k = o + 16 to y, which gives y = o + 82.\n6. Substitute o = 20 to y, which gives y = 102.\n\nThus, the final answer is y = \\boxed{102}.",
"index": 21900,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = o + 16; h = x + 4; j = h + 8; x = o + 14; o = 20; y = e + 18; t = q + 15; v = c + 4; d = j + 2; c = d + 17; b = t + 7; q = k + 8; e = b + 18. If o = 20, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"x": "j + 12", "e": "x + 5", "l": "e + 15", "c": "l + 15", "q": "c + 3", "t": "q + 17", "m": "j + 13", "h": "m + 1", "z": "h + 13", "v": "z + 2", "a": "v + 15", "i": "a + 4", "j": 11}, "premises": {"j": 11}, "target": "t"}, "answer": {"steps": [["q", "c + 3", "c + 20"], ["c", "l + 15", "l + 35"], ["l", "e + 15", "e + 50"], ["e", "x + 5", "x + 55"], ["x", "j + 12", "j + 67"], ["j", 11, "78"]], "target_var_name": "t", "target_value": 78, "value_dict": {"j": 11}, "is_reverse": true}} | 21,901 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = c + 3; t = q + 17; m = j + 13; i = a + 4; l = e + 15; v = z + 2; e = x + 5; j = 11; a = v + 15; x = j + 12; h = m + 1; z = h + 13; c = l + 15. If j = 11, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = c + 3 to t, which gives t = c + 20.\n2. Substitute c = l + 15 to t, which gives t = l + 35.\n3. Substitute l = e + 15 to t, which gives t = e + 50.\n4. Substitute e = x + 5 to t, which gives t = x + 55.\n5. Substitute x = j + 12 to t, which gives t = j + 67.\n6. Substitute j = 11 to t, which gives t = 78.\n\nThus, the final answer is t = \\boxed{78}.",
"index": 21901,
"question": "Consider a system of variables where each variable is defined as follows: q = c + 3; t = q + 17; m = j + 13; i = a + 4; l = e + 15; v = z + 2; e = x + 5; j = 11; a = v + 15; x = j + 12; h = m + 1; z = h + 13; c = l + 15. If j = 11, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"n": "e + 12", "b": "n + 8", "f": "b + 3", "r": "f + 16", "y": "r + 12", "d": "y + 16", "s": "e + 19", "v": "s + 8", "c": "v + 2", "q": "c + 13", "m": "q + 20", "o": "m + 13", "e": 18}, "premises": {"e": 18}, "target": "d"}, "answer": {"steps": [["y", "r + 12", "r + 28"], ["r", "f + 16", "f + 44"], ["f", "b + 3", "b + 47"], ["b", "n + 8", "n + 55"], ["n", "e + 12", "e + 67"], ["e", 18, "85"]], "target_var_name": "d", "target_value": 85, "value_dict": {"e": 18}, "is_reverse": true}} | 21,902 | 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 = y + 16; b = n + 8; e = 18; y = r + 12; v = s + 8; m = q + 20; o = m + 13; q = c + 13; n = e + 12; s = e + 19; f = b + 3; r = f + 16; c = v + 2. If e = 18, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = r + 12 to d, which gives d = r + 28.\n2. Substitute r = f + 16 to d, which gives d = f + 44.\n3. Substitute f = b + 3 to d, which gives d = b + 47.\n4. Substitute b = n + 8 to d, which gives d = n + 55.\n5. Substitute n = e + 12 to d, which gives d = e + 67.\n6. Substitute e = 18 to d, which gives d = 85.\n\nThus, the final answer is d = \\boxed{85}.",
"index": 21902,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = y + 16; b = n + 8; e = 18; y = r + 12; v = s + 8; m = q + 20; o = m + 13; q = c + 13; n = e + 12; s = e + 19; f = b + 3; r = f + 16; c = v + 2. If e = 18, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"q": "k + 7", "r": "q + 17", "g": "r + 13", "f": "g + 3", "m": "f + 11", "o": "m + 13", "w": "k + 17", "v": "w + 7", "n": "v + 6", "j": "n + 19", "i": "j + 16", "l": "i + 9", "k": 6}, "premises": {"k": 6}, "target": "o"}, "answer": {"steps": [["m", "f + 11", "f + 24"], ["f", "g + 3", "g + 27"], ["g", "r + 13", "r + 40"], ["r", "q + 17", "q + 57"], ["q", "k + 7", "k + 64"], ["k", 6, "70"]], "target_var_name": "o", "target_value": 70, "value_dict": {"k": 6}, "is_reverse": true}} | 21,903 | 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 = k + 17; r = q + 17; v = w + 7; n = v + 6; m = f + 11; l = i + 9; o = m + 13; g = r + 13; k = 6; i = j + 16; q = k + 7; j = n + 19; f = g + 3. If k = 6, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = f + 11 to o, which gives o = f + 24.\n2. Substitute f = g + 3 to o, which gives o = g + 27.\n3. Substitute g = r + 13 to o, which gives o = r + 40.\n4. Substitute r = q + 17 to o, which gives o = q + 57.\n5. Substitute q = k + 7 to o, which gives o = k + 64.\n6. Substitute k = 6 to o, which gives o = 70.\n\nThus, the final answer is o = \\boxed{70}.",
"index": 21903,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = k + 17; r = q + 17; v = w + 7; n = v + 6; m = f + 11; l = i + 9; o = m + 13; g = r + 13; k = 6; i = j + 16; q = k + 7; j = n + 19; f = g + 3. If k = 6, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"h": "a + 6", "p": "h + 1", "q": "p + 19", "f": "q + 1", "z": "f + 18", "k": "z + 16", "b": "a + 19", "l": "b + 18", "r": "l + 18", "n": "r + 1", "y": "n + 5", "c": "y + 3", "a": 5}, "premises": {"a": 5}, "target": "k"}, "answer": {"steps": [["z", "f + 18", "f + 34"], ["f", "q + 1", "q + 35"], ["q", "p + 19", "p + 54"], ["p", "h + 1", "h + 55"], ["h", "a + 6", "a + 61"], ["a", 5, "66"]], "target_var_name": "k", "target_value": 66, "value_dict": {"a": 5}, "is_reverse": true}} | 21,904 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = h + 1; a = 5; r = l + 18; z = f + 18; f = q + 1; n = r + 1; y = n + 5; b = a + 19; k = z + 16; c = y + 3; h = a + 6; l = b + 18; q = p + 19. If a = 5, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = f + 18 to k, which gives k = f + 34.\n2. Substitute f = q + 1 to k, which gives k = q + 35.\n3. Substitute q = p + 19 to k, which gives k = p + 54.\n4. Substitute p = h + 1 to k, which gives k = h + 55.\n5. Substitute h = a + 6 to k, which gives k = a + 61.\n6. Substitute a = 5 to k, which gives k = 66.\n\nThus, the final answer is k = \\boxed{66}.",
"index": 21904,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = h + 1; a = 5; r = l + 18; z = f + 18; f = q + 1; n = r + 1; y = n + 5; b = a + 19; k = z + 16; c = y + 3; h = a + 6; l = b + 18; q = p + 19. If a = 5, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"n": "d + 11", "z": "n + 20", "k": "z + 1", "e": "k + 19", "f": "e + 20", "p": "f + 3", "o": "d + 13", "x": "o + 15", "r": "x + 20", "w": "r + 5", "l": "w + 16", "y": "l + 18", "d": 6}, "premises": {"d": 6}, "target": "p"}, "answer": {"steps": [["f", "e + 20", "e + 23"], ["e", "k + 19", "k + 42"], ["k", "z + 1", "z + 43"], ["z", "n + 20", "n + 63"], ["n", "d + 11", "d + 74"], ["d", 6, "80"]], "target_var_name": "p", "target_value": 80, "value_dict": {"d": 6}, "is_reverse": true}} | 21,905 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = n + 20; p = f + 3; l = w + 16; n = d + 11; w = r + 5; f = e + 20; e = k + 19; o = d + 13; k = z + 1; r = x + 20; y = l + 18; d = 6; x = o + 15. If d = 6, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = e + 20 to p, which gives p = e + 23.\n2. Substitute e = k + 19 to p, which gives p = k + 42.\n3. Substitute k = z + 1 to p, which gives p = z + 43.\n4. Substitute z = n + 20 to p, which gives p = n + 63.\n5. Substitute n = d + 11 to p, which gives p = d + 74.\n6. Substitute d = 6 to p, which gives p = 80.\n\nThus, the final answer is p = \\boxed{80}.",
"index": 21905,
"question": "Consider a system of variables where each variable is defined as follows: z = n + 20; p = f + 3; l = w + 16; n = d + 11; w = r + 5; f = e + 20; e = k + 19; o = d + 13; k = z + 1; r = x + 20; y = l + 18; d = 6; x = o + 15. If d = 6, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"j": "l + 1", "r": "j + 12", "t": "r + 7", "z": "t + 16", "y": "z + 17", "u": "y + 12", "m": "l + 16", "p": "m + 13", "e": "p + 19", "x": "e + 11", "q": "x + 6", "v": "q + 10", "l": 15}, "premises": {"l": 15}, "target": "u"}, "answer": {"steps": [["y", "z + 17", "z + 29"], ["z", "t + 16", "t + 45"], ["t", "r + 7", "r + 52"], ["r", "j + 12", "j + 64"], ["j", "l + 1", "l + 65"], ["l", 15, "80"]], "target_var_name": "u", "target_value": 80, "value_dict": {"l": 15}, "is_reverse": true}} | 21,906 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = l + 16; x = e + 11; e = p + 19; u = y + 12; v = q + 10; t = r + 7; q = x + 6; r = j + 12; j = l + 1; y = z + 17; p = m + 13; z = t + 16; l = 15. If l = 15, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = z + 17 to u, which gives u = z + 29.\n2. Substitute z = t + 16 to u, which gives u = t + 45.\n3. Substitute t = r + 7 to u, which gives u = r + 52.\n4. Substitute r = j + 12 to u, which gives u = j + 64.\n5. Substitute j = l + 1 to u, which gives u = l + 65.\n6. Substitute l = 15 to u, which gives u = 80.\n\nThus, the final answer is u = \\boxed{80}.",
"index": 21906,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = l + 16; x = e + 11; e = p + 19; u = y + 12; v = q + 10; t = r + 7; q = x + 6; r = j + 12; j = l + 1; y = z + 17; p = m + 13; z = t + 16; l = 15. If l = 15, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"r": "f + 6", "q": "r + 18", "l": "q + 18", "y": "l + 10", "b": "y + 15", "t": "b + 8", "x": "f + 4", "p": "x + 14", "s": "p + 17", "v": "s + 18", "c": "v + 9", "o": "c + 15", "f": 1}, "premises": {"f": 1}, "target": "t"}, "answer": {"steps": [["b", "y + 15", "y + 23"], ["y", "l + 10", "l + 33"], ["l", "q + 18", "q + 51"], ["q", "r + 18", "r + 69"], ["r", "f + 6", "f + 75"], ["f", 1, "76"]], "target_var_name": "t", "target_value": 76, "value_dict": {"f": 1}, "is_reverse": true}} | 21,907 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = q + 18; q = r + 18; f = 1; b = y + 15; p = x + 14; o = c + 15; r = f + 6; x = f + 4; t = b + 8; v = s + 18; c = v + 9; y = l + 10; s = p + 17. If f = 1, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = y + 15 to t, which gives t = y + 23.\n2. Substitute y = l + 10 to t, which gives t = l + 33.\n3. Substitute l = q + 18 to t, which gives t = q + 51.\n4. Substitute q = r + 18 to t, which gives t = r + 69.\n5. Substitute r = f + 6 to t, which gives t = f + 75.\n6. Substitute f = 1 to t, which gives t = 76.\n\nThus, the final answer is t = \\boxed{76}.",
"index": 21907,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = q + 18; q = r + 18; f = 1; b = y + 15; p = x + 14; o = c + 15; r = f + 6; x = f + 4; t = b + 8; v = s + 18; c = v + 9; y = l + 10; s = p + 17. If f = 1, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"u": "r + 13", "v": "u + 20", "x": "v + 8", "s": "x + 19", "z": "s + 8", "y": "z + 17", "n": "r + 3", "l": "n + 4", "i": "l + 16", "g": "i + 9", "m": "g + 4", "d": "m + 13", "r": 17}, "premises": {"r": 17}, "target": "y"}, "answer": {"steps": [["z", "s + 8", "s + 25"], ["s", "x + 19", "x + 44"], ["x", "v + 8", "v + 52"], ["v", "u + 20", "u + 72"], ["u", "r + 13", "r + 85"], ["r", 17, "102"]], "target_var_name": "y", "target_value": 102, "value_dict": {"r": 17}, "is_reverse": true}} | 21,908 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = i + 9; n = r + 3; z = s + 8; r = 17; y = z + 17; s = x + 19; x = v + 8; v = u + 20; i = l + 16; m = g + 4; u = r + 13; d = m + 13; l = n + 4. If r = 17, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 102,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = s + 8 to y, which gives y = s + 25.\n2. Substitute s = x + 19 to y, which gives y = x + 44.\n3. Substitute x = v + 8 to y, which gives y = v + 52.\n4. Substitute v = u + 20 to y, which gives y = u + 72.\n5. Substitute u = r + 13 to y, which gives y = r + 85.\n6. Substitute r = 17 to y, which gives y = 102.\n\nThus, the final answer is y = \\boxed{102}.",
"index": 21908,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = i + 9; n = r + 3; z = s + 8; r = 17; y = z + 17; s = x + 19; x = v + 8; v = u + 20; i = l + 16; m = g + 4; u = r + 13; d = m + 13; l = n + 4. If r = 17, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"b": "u + 12", "l": "b + 7", "k": "l + 17", "x": "k + 4", "e": "x + 4", "w": "e + 7", "n": "u + 6", "d": "n + 5", "p": "d + 4", "m": "p + 8", "c": "m + 1", "j": "c + 12", "u": 12}, "premises": {"u": 12}, "target": "w"}, "answer": {"steps": [["e", "x + 4", "x + 11"], ["x", "k + 4", "k + 15"], ["k", "l + 17", "l + 32"], ["l", "b + 7", "b + 39"], ["b", "u + 12", "u + 51"], ["u", 12, "63"]], "target_var_name": "w", "target_value": 63, "value_dict": {"u": 12}, "is_reverse": true}} | 21,909 | 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 = 12; k = l + 17; w = e + 7; j = c + 12; p = d + 4; c = m + 1; n = u + 6; e = x + 4; b = u + 12; m = p + 8; d = n + 5; x = k + 4; l = b + 7. If u = 12, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = x + 4 to w, which gives w = x + 11.\n2. Substitute x = k + 4 to w, which gives w = k + 15.\n3. Substitute k = l + 17 to w, which gives w = l + 32.\n4. Substitute l = b + 7 to w, which gives w = b + 39.\n5. Substitute b = u + 12 to w, which gives w = u + 51.\n6. Substitute u = 12 to w, which gives w = 63.\n\nThus, the final answer is w = \\boxed{63}.",
"index": 21909,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = 12; k = l + 17; w = e + 7; j = c + 12; p = d + 4; c = m + 1; n = u + 6; e = x + 4; b = u + 12; m = p + 8; d = n + 5; x = k + 4; l = b + 7. If u = 12, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"k": "g + 4", "w": "k + 11", "j": "w + 11", "x": "j + 17", "l": "x + 6", "r": "l + 20", "y": "g + 17", "c": "y + 15", "t": "c + 4", "i": "t + 15", "p": "i + 3", "f": "p + 3", "g": 5}, "premises": {"g": 5}, "target": "r"}, "answer": {"steps": [["l", "x + 6", "x + 26"], ["x", "j + 17", "j + 43"], ["j", "w + 11", "w + 54"], ["w", "k + 11", "k + 65"], ["k", "g + 4", "g + 69"], ["g", 5, "74"]], "target_var_name": "r", "target_value": 74, "value_dict": {"g": 5}, "is_reverse": true}} | 21,910 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = p + 3; l = x + 6; y = g + 17; c = y + 15; g = 5; p = i + 3; i = t + 15; x = j + 17; j = w + 11; r = l + 20; w = k + 11; k = g + 4; t = c + 4. If g = 5, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = x + 6 to r, which gives r = x + 26.\n2. Substitute x = j + 17 to r, which gives r = j + 43.\n3. Substitute j = w + 11 to r, which gives r = w + 54.\n4. Substitute w = k + 11 to r, which gives r = k + 65.\n5. Substitute k = g + 4 to r, which gives r = g + 69.\n6. Substitute g = 5 to r, which gives r = 74.\n\nThus, the final answer is r = \\boxed{74}.",
"index": 21910,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = p + 3; l = x + 6; y = g + 17; c = y + 15; g = 5; p = i + 3; i = t + 15; x = j + 17; j = w + 11; r = l + 20; w = k + 11; k = g + 4; t = c + 4. If g = 5, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"r": "c + 6", "m": "r + 19", "v": "m + 13", "x": "v + 19", "a": "x + 15", "s": "a + 10", "g": "c + 8", "n": "g + 10", "u": "n + 20", "j": "u + 15", "w": "j + 13", "p": "w + 18", "c": 8}, "premises": {"c": 8}, "target": "s"}, "answer": {"steps": [["a", "x + 15", "x + 25"], ["x", "v + 19", "v + 44"], ["v", "m + 13", "m + 57"], ["m", "r + 19", "r + 76"], ["r", "c + 6", "c + 82"], ["c", 8, "90"]], "target_var_name": "s", "target_value": 90, "value_dict": {"c": 8}, "is_reverse": true}} | 21,911 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = m + 13; p = w + 18; n = g + 10; w = j + 13; s = a + 10; u = n + 20; r = c + 6; g = c + 8; j = u + 15; a = x + 15; m = r + 19; c = 8; x = v + 19. Given that c = 8, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = x + 15 to s, which gives s = x + 25.\n2. Substitute x = v + 19 to s, which gives s = v + 44.\n3. Substitute v = m + 13 to s, which gives s = m + 57.\n4. Substitute m = r + 19 to s, which gives s = r + 76.\n5. Substitute r = c + 6 to s, which gives s = c + 82.\n6. Substitute c = 8 to s, which gives s = 90.\n\nThus, the final answer is s = \\boxed{90}.",
"index": 21911,
"question": "Suppose a collection of variables is related by the following definitions: v = m + 13; p = w + 18; n = g + 10; w = j + 13; s = a + 10; u = n + 20; r = c + 6; g = c + 8; j = u + 15; a = x + 15; m = r + 19; c = 8; x = v + 19. Given that c = 8, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"a": "b + 18", "s": "a + 20", "g": "s + 6", "j": "g + 1", "i": "j + 13", "v": "i + 19", "m": "b + 20", "h": "m + 8", "x": "h + 5", "n": "x + 17", "z": "n + 5", "u": "z + 7", "b": 12}, "premises": {"b": 12}, "target": "v"}, "answer": {"steps": [["i", "j + 13", "j + 32"], ["j", "g + 1", "g + 33"], ["g", "s + 6", "s + 39"], ["s", "a + 20", "a + 59"], ["a", "b + 18", "b + 77"], ["b", 12, "89"]], "target_var_name": "v", "target_value": 89, "value_dict": {"b": 12}, "is_reverse": true}} | 21,912 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = b + 18; i = j + 13; u = z + 7; z = n + 5; n = x + 17; v = i + 19; j = g + 1; m = b + 20; s = a + 20; h = m + 8; b = 12; x = h + 5; g = s + 6. If b = 12, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = j + 13 to v, which gives v = j + 32.\n2. Substitute j = g + 1 to v, which gives v = g + 33.\n3. Substitute g = s + 6 to v, which gives v = s + 39.\n4. Substitute s = a + 20 to v, which gives v = a + 59.\n5. Substitute a = b + 18 to v, which gives v = b + 77.\n6. Substitute b = 12 to v, which gives v = 89.\n\nThus, the final answer is v = \\boxed{89}.",
"index": 21912,
"question": "Consider a system of variables where each variable is defined as follows: a = b + 18; i = j + 13; u = z + 7; z = n + 5; n = x + 17; v = i + 19; j = g + 1; m = b + 20; s = a + 20; h = m + 8; b = 12; x = h + 5; g = s + 6. If b = 12, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"b": "t + 18", "k": "b + 20", "x": "k + 2", "g": "x + 19", "a": "g + 9", "y": "a + 6", "h": "t + 15", "s": "h + 10", "c": "s + 9", "n": "c + 20", "r": "n + 9", "z": "r + 1", "t": 19}, "premises": {"t": 19}, "target": "y"}, "answer": {"steps": [["a", "g + 9", "g + 15"], ["g", "x + 19", "x + 34"], ["x", "k + 2", "k + 36"], ["k", "b + 20", "b + 56"], ["b", "t + 18", "t + 74"], ["t", 19, "93"]], "target_var_name": "y", "target_value": 93, "value_dict": {"t": 19}, "is_reverse": true}} | 21,913 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = r + 1; x = k + 2; k = b + 20; a = g + 9; b = t + 18; y = a + 6; g = x + 19; t = 19; h = t + 15; s = h + 10; r = n + 9; n = c + 20; c = s + 9. Given that t = 19, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = g + 9 to y, which gives y = g + 15.\n2. Substitute g = x + 19 to y, which gives y = x + 34.\n3. Substitute x = k + 2 to y, which gives y = k + 36.\n4. Substitute k = b + 20 to y, which gives y = b + 56.\n5. Substitute b = t + 18 to y, which gives y = t + 74.\n6. Substitute t = 19 to y, which gives y = 93.\n\nThus, the final answer is y = \\boxed{93}.",
"index": 21913,
"question": "Suppose a collection of variables is related by the following definitions: z = r + 1; x = k + 2; k = b + 20; a = g + 9; b = t + 18; y = a + 6; g = x + 19; t = 19; h = t + 15; s = h + 10; r = n + 9; n = c + 20; c = s + 9. Given that t = 19, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"a": "l + 19", "o": "a + 17", "v": "o + 10", "w": "v + 1", "c": "w + 11", "q": "c + 9", "i": "l + 4", "p": "i + 1", "j": "p + 19", "y": "j + 14", "n": "y + 8", "z": "n + 13", "l": 17}, "premises": {"l": 17}, "target": "q"}, "answer": {"steps": [["c", "w + 11", "w + 20"], ["w", "v + 1", "v + 21"], ["v", "o + 10", "o + 31"], ["o", "a + 17", "a + 48"], ["a", "l + 19", "l + 67"], ["l", 17, "84"]], "target_var_name": "q", "target_value": 84, "value_dict": {"l": 17}, "is_reverse": true}} | 21,914 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = 17; p = i + 1; n = y + 8; c = w + 11; o = a + 17; w = v + 1; v = o + 10; q = c + 9; j = p + 19; z = n + 13; y = j + 14; a = l + 19; i = l + 4. If l = 17, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = w + 11 to q, which gives q = w + 20.\n2. Substitute w = v + 1 to q, which gives q = v + 21.\n3. Substitute v = o + 10 to q, which gives q = o + 31.\n4. Substitute o = a + 17 to q, which gives q = a + 48.\n5. Substitute a = l + 19 to q, which gives q = l + 67.\n6. Substitute l = 17 to q, which gives q = 84.\n\nThus, the final answer is q = \\boxed{84}.",
"index": 21914,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = 17; p = i + 1; n = y + 8; c = w + 11; o = a + 17; w = v + 1; v = o + 10; q = c + 9; j = p + 19; z = n + 13; y = j + 14; a = l + 19; i = l + 4. If l = 17, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"l": "u + 4", "n": "l + 14", "z": "n + 19", "x": "z + 17", "k": "x + 10", "i": "k + 7", "p": "u + 9", "o": "p + 9", "r": "o + 12", "t": "r + 3", "s": "t + 6", "w": "s + 4", "u": 14}, "premises": {"u": 14}, "target": "i"}, "answer": {"steps": [["k", "x + 10", "x + 17"], ["x", "z + 17", "z + 34"], ["z", "n + 19", "n + 53"], ["n", "l + 14", "l + 67"], ["l", "u + 4", "u + 71"], ["u", 14, "85"]], "target_var_name": "i", "target_value": 85, "value_dict": {"u": 14}, "is_reverse": true}} | 21,915 | 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 = p + 9; w = s + 4; z = n + 19; k = x + 10; t = r + 3; n = l + 14; l = u + 4; r = o + 12; i = k + 7; s = t + 6; p = u + 9; u = 14; x = z + 17. If u = 14, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = x + 10 to i, which gives i = x + 17.\n2. Substitute x = z + 17 to i, which gives i = z + 34.\n3. Substitute z = n + 19 to i, which gives i = n + 53.\n4. Substitute n = l + 14 to i, which gives i = l + 67.\n5. Substitute l = u + 4 to i, which gives i = u + 71.\n6. Substitute u = 14 to i, which gives i = 85.\n\nThus, the final answer is i = \\boxed{85}.",
"index": 21915,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = p + 9; w = s + 4; z = n + 19; k = x + 10; t = r + 3; n = l + 14; l = u + 4; r = o + 12; i = k + 7; s = t + 6; p = u + 9; u = 14; x = z + 17. If u = 14, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"q": "j + 16", "t": "q + 8", "r": "t + 13", "i": "r + 9", "m": "i + 3", "h": "m + 18", "c": "j + 1", "n": "c + 7", "a": "n + 16", "o": "a + 6", "z": "o + 17", "x": "z + 7", "j": 15}, "premises": {"j": 15}, "target": "h"}, "answer": {"steps": [["m", "i + 3", "i + 21"], ["i", "r + 9", "r + 30"], ["r", "t + 13", "t + 43"], ["t", "q + 8", "q + 51"], ["q", "j + 16", "j + 67"], ["j", 15, "82"]], "target_var_name": "h", "target_value": 82, "value_dict": {"j": 15}, "is_reverse": true}} | 21,916 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = r + 9; j = 15; z = o + 17; n = c + 7; t = q + 8; o = a + 6; a = n + 16; c = j + 1; x = z + 7; m = i + 3; q = j + 16; r = t + 13; h = m + 18. If j = 15, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = i + 3 to h, which gives h = i + 21.\n2. Substitute i = r + 9 to h, which gives h = r + 30.\n3. Substitute r = t + 13 to h, which gives h = t + 43.\n4. Substitute t = q + 8 to h, which gives h = q + 51.\n5. Substitute q = j + 16 to h, which gives h = j + 67.\n6. Substitute j = 15 to h, which gives h = 82.\n\nThus, the final answer is h = \\boxed{82}.",
"index": 21916,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = r + 9; j = 15; z = o + 17; n = c + 7; t = q + 8; o = a + 6; a = n + 16; c = j + 1; x = z + 7; m = i + 3; q = j + 16; r = t + 13; h = m + 18. If j = 15, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"m": "z + 1", "i": "m + 1", "c": "i + 7", "t": "c + 1", "y": "t + 1", "w": "y + 19", "r": "z + 13", "l": "r + 3", "p": "l + 15", "u": "p + 5", "n": "u + 18", "k": "n + 16", "z": 10}, "premises": {"z": 10}, "target": "w"}, "answer": {"steps": [["y", "t + 1", "t + 20"], ["t", "c + 1", "c + 21"], ["c", "i + 7", "i + 28"], ["i", "m + 1", "m + 29"], ["m", "z + 1", "z + 30"], ["z", 10, "40"]], "target_var_name": "w", "target_value": 40, "value_dict": {"z": 10}, "is_reverse": true}} | 21,917 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = u + 18; k = n + 16; i = m + 1; z = 10; r = z + 13; w = y + 19; t = c + 1; p = l + 15; l = r + 3; c = i + 7; u = p + 5; m = z + 1; y = t + 1. If z = 10, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 40,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = t + 1 to w, which gives w = t + 20.\n2. Substitute t = c + 1 to w, which gives w = c + 21.\n3. Substitute c = i + 7 to w, which gives w = i + 28.\n4. Substitute i = m + 1 to w, which gives w = m + 29.\n5. Substitute m = z + 1 to w, which gives w = z + 30.\n6. Substitute z = 10 to w, which gives w = 40.\n\nThus, the final answer is w = \\boxed{40}.",
"index": 21917,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = u + 18; k = n + 16; i = m + 1; z = 10; r = z + 13; w = y + 19; t = c + 1; p = l + 15; l = r + 3; c = i + 7; u = p + 5; m = z + 1; y = t + 1. If z = 10, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"x": "u + 6", "p": "x + 14", "t": "p + 14", "c": "t + 16", "m": "c + 11", "k": "m + 17", "j": "u + 16", "y": "j + 15", "a": "y + 8", "o": "a + 3", "h": "o + 3", "r": "h + 15", "u": 15}, "premises": {"u": 15}, "target": "k"}, "answer": {"steps": [["m", "c + 11", "c + 28"], ["c", "t + 16", "t + 44"], ["t", "p + 14", "p + 58"], ["p", "x + 14", "x + 72"], ["x", "u + 6", "u + 78"], ["u", 15, "93"]], "target_var_name": "k", "target_value": 93, "value_dict": {"u": 15}, "is_reverse": true}} | 21,918 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = c + 11; u = 15; r = h + 15; o = a + 3; h = o + 3; c = t + 16; p = x + 14; j = u + 16; t = p + 14; k = m + 17; x = u + 6; a = y + 8; y = j + 15. Given that u = 15, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = c + 11 to k, which gives k = c + 28.\n2. Substitute c = t + 16 to k, which gives k = t + 44.\n3. Substitute t = p + 14 to k, which gives k = p + 58.\n4. Substitute p = x + 14 to k, which gives k = x + 72.\n5. Substitute x = u + 6 to k, which gives k = u + 78.\n6. Substitute u = 15 to k, which gives k = 93.\n\nThus, the final answer is k = \\boxed{93}.",
"index": 21918,
"question": "Suppose a collection of variables is related by the following definitions: m = c + 11; u = 15; r = h + 15; o = a + 3; h = o + 3; c = t + 16; p = x + 14; j = u + 16; t = p + 14; k = m + 17; x = u + 6; a = y + 8; y = j + 15. Given that u = 15, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"s": "k + 3", "z": "s + 12", "h": "z + 14", "q": "h + 17", "b": "q + 7", "f": "b + 9", "r": "k + 3", "j": "r + 14", "i": "j + 16", "w": "i + 11", "g": "w + 8", "u": "g + 13", "k": 16}, "premises": {"k": 16}, "target": "f"}, "answer": {"steps": [["b", "q + 7", "q + 16"], ["q", "h + 17", "h + 33"], ["h", "z + 14", "z + 47"], ["z", "s + 12", "s + 59"], ["s", "k + 3", "k + 62"], ["k", 16, "78"]], "target_var_name": "f", "target_value": 78, "value_dict": {"k": 16}, "is_reverse": true}} | 21,919 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = k + 3; q = h + 17; j = r + 14; z = s + 12; w = i + 11; g = w + 8; k = 16; u = g + 13; s = k + 3; f = b + 9; i = j + 16; b = q + 7; h = z + 14. Given that k = 16, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = q + 7 to f, which gives f = q + 16.\n2. Substitute q = h + 17 to f, which gives f = h + 33.\n3. Substitute h = z + 14 to f, which gives f = z + 47.\n4. Substitute z = s + 12 to f, which gives f = s + 59.\n5. Substitute s = k + 3 to f, which gives f = k + 62.\n6. Substitute k = 16 to f, which gives f = 78.\n\nThus, the final answer is f = \\boxed{78}.",
"index": 21919,
"question": "Suppose a collection of variables is related by the following definitions: r = k + 3; q = h + 17; j = r + 14; z = s + 12; w = i + 11; g = w + 8; k = 16; u = g + 13; s = k + 3; f = b + 9; i = j + 16; b = q + 7; h = z + 14. Given that k = 16, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"h": "c + 4", "e": "h + 7", "d": "e + 10", "m": "d + 8", "k": "m + 3", "q": "k + 16", "u": "c + 13", "n": "u + 15", "y": "n + 6", "j": "y + 12", "o": "j + 15", "a": "o + 8", "c": 14}, "premises": {"c": 14}, "target": "q"}, "answer": {"steps": [["k", "m + 3", "m + 19"], ["m", "d + 8", "d + 27"], ["d", "e + 10", "e + 37"], ["e", "h + 7", "h + 44"], ["h", "c + 4", "c + 48"], ["c", 14, "62"]], "target_var_name": "q", "target_value": 62, "value_dict": {"c": 14}, "is_reverse": true}} | 21,920 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = c + 4; d = e + 10; n = u + 15; e = h + 7; c = 14; j = y + 12; q = k + 16; m = d + 8; k = m + 3; a = o + 8; u = c + 13; y = n + 6; o = j + 15. If c = 14, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = m + 3 to q, which gives q = m + 19.\n2. Substitute m = d + 8 to q, which gives q = d + 27.\n3. Substitute d = e + 10 to q, which gives q = e + 37.\n4. Substitute e = h + 7 to q, which gives q = h + 44.\n5. Substitute h = c + 4 to q, which gives q = c + 48.\n6. Substitute c = 14 to q, which gives q = 62.\n\nThus, the final answer is q = \\boxed{62}.",
"index": 21920,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = c + 4; d = e + 10; n = u + 15; e = h + 7; c = 14; j = y + 12; q = k + 16; m = d + 8; k = m + 3; a = o + 8; u = c + 13; y = n + 6; o = j + 15. If c = 14, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"u": "i + 8", "m": "u + 4", "p": "m + 6", "g": "p + 20", "y": "g + 6", "n": "y + 1", "l": "i + 14", "a": "l + 3", "h": "a + 3", "s": "h + 12", "b": "s + 2", "f": "b + 5", "i": 2}, "premises": {"i": 2}, "target": "n"}, "answer": {"steps": [["y", "g + 6", "g + 7"], ["g", "p + 20", "p + 27"], ["p", "m + 6", "m + 33"], ["m", "u + 4", "u + 37"], ["u", "i + 8", "i + 45"], ["i", 2, "47"]], "target_var_name": "n", "target_value": 47, "value_dict": {"i": 2}, "is_reverse": true}} | 21,921 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = s + 2; i = 2; y = g + 6; u = i + 8; l = i + 14; h = a + 3; a = l + 3; f = b + 5; g = p + 20; m = u + 4; n = y + 1; s = h + 12; p = m + 6. Given that i = 2, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = g + 6 to n, which gives n = g + 7.\n2. Substitute g = p + 20 to n, which gives n = p + 27.\n3. Substitute p = m + 6 to n, which gives n = m + 33.\n4. Substitute m = u + 4 to n, which gives n = u + 37.\n5. Substitute u = i + 8 to n, which gives n = i + 45.\n6. Substitute i = 2 to n, which gives n = 47.\n\nThus, the final answer is n = \\boxed{47}.",
"index": 21921,
"question": "Suppose a collection of variables is related by the following definitions: b = s + 2; i = 2; y = g + 6; u = i + 8; l = i + 14; h = a + 3; a = l + 3; f = b + 5; g = p + 20; m = u + 4; n = y + 1; s = h + 12; p = m + 6. Given that i = 2, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"e": "s + 16", "v": "e + 12", "c": "v + 3", "y": "c + 8", "b": "y + 6", "j": "b + 19", "t": "s + 17", "d": "t + 16", "x": "d + 9", "n": "x + 11", "g": "n + 19", "u": "g + 5", "s": 14}, "premises": {"s": 14}, "target": "j"}, "answer": {"steps": [["b", "y + 6", "y + 25"], ["y", "c + 8", "c + 33"], ["c", "v + 3", "v + 36"], ["v", "e + 12", "e + 48"], ["e", "s + 16", "s + 64"], ["s", 14, "78"]], "target_var_name": "j", "target_value": 78, "value_dict": {"s": 14}, "is_reverse": true}} | 21,922 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = x + 11; u = g + 5; v = e + 12; d = t + 16; e = s + 16; y = c + 8; x = d + 9; j = b + 19; g = n + 19; b = y + 6; s = 14; t = s + 17; c = v + 3. If s = 14, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = y + 6 to j, which gives j = y + 25.\n2. Substitute y = c + 8 to j, which gives j = c + 33.\n3. Substitute c = v + 3 to j, which gives j = v + 36.\n4. Substitute v = e + 12 to j, which gives j = e + 48.\n5. Substitute e = s + 16 to j, which gives j = s + 64.\n6. Substitute s = 14 to j, which gives j = 78.\n\nThus, the final answer is j = \\boxed{78}.",
"index": 21922,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = x + 11; u = g + 5; v = e + 12; d = t + 16; e = s + 16; y = c + 8; x = d + 9; j = b + 19; g = n + 19; b = y + 6; s = 14; t = s + 17; c = v + 3. If s = 14, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"o": "v + 18", "m": "o + 6", "b": "m + 16", "u": "b + 2", "h": "u + 2", "n": "h + 12", "g": "v + 15", "f": "g + 16", "d": "f + 17", "q": "d + 9", "k": "q + 20", "t": "k + 12", "v": 9}, "premises": {"v": 9}, "target": "n"}, "answer": {"steps": [["h", "u + 2", "u + 14"], ["u", "b + 2", "b + 16"], ["b", "m + 16", "m + 32"], ["m", "o + 6", "o + 38"], ["o", "v + 18", "v + 56"], ["v", 9, "65"]], "target_var_name": "n", "target_value": 65, "value_dict": {"v": 9}, "is_reverse": true}} | 21,923 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = q + 20; n = h + 12; g = v + 15; b = m + 16; t = k + 12; o = v + 18; h = u + 2; m = o + 6; u = b + 2; q = d + 9; v = 9; d = f + 17; f = g + 16. If v = 9, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = u + 2 to n, which gives n = u + 14.\n2. Substitute u = b + 2 to n, which gives n = b + 16.\n3. Substitute b = m + 16 to n, which gives n = m + 32.\n4. Substitute m = o + 6 to n, which gives n = o + 38.\n5. Substitute o = v + 18 to n, which gives n = v + 56.\n6. Substitute v = 9 to n, which gives n = 65.\n\nThus, the final answer is n = \\boxed{65}.",
"index": 21923,
"question": "Consider a system of variables where each variable is defined as follows: k = q + 20; n = h + 12; g = v + 15; b = m + 16; t = k + 12; o = v + 18; h = u + 2; m = o + 6; u = b + 2; q = d + 9; v = 9; d = f + 17; f = g + 16. If v = 9, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"x": "e + 1", "y": "x + 2", "d": "y + 19", "h": "d + 17", "z": "h + 4", "j": "z + 8", "o": "e + 16", "w": "o + 12", "t": "w + 11", "u": "t + 4", "g": "u + 18", "r": "g + 8", "e": 6}, "premises": {"e": 6}, "target": "j"}, "answer": {"steps": [["z", "h + 4", "h + 12"], ["h", "d + 17", "d + 29"], ["d", "y + 19", "y + 48"], ["y", "x + 2", "x + 50"], ["x", "e + 1", "e + 51"], ["e", 6, "57"]], "target_var_name": "j", "target_value": 57, "value_dict": {"e": 6}, "is_reverse": true}} | 21,924 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = h + 4; y = x + 2; h = d + 17; e = 6; j = z + 8; o = e + 16; u = t + 4; t = w + 11; r = g + 8; x = e + 1; g = u + 18; w = o + 12; d = y + 19. If e = 6, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = h + 4 to j, which gives j = h + 12.\n2. Substitute h = d + 17 to j, which gives j = d + 29.\n3. Substitute d = y + 19 to j, which gives j = y + 48.\n4. Substitute y = x + 2 to j, which gives j = x + 50.\n5. Substitute x = e + 1 to j, which gives j = e + 51.\n6. Substitute e = 6 to j, which gives j = 57.\n\nThus, the final answer is j = \\boxed{57}.",
"index": 21924,
"question": "Consider a system of variables where each variable is defined as follows: z = h + 4; y = x + 2; h = d + 17; e = 6; j = z + 8; o = e + 16; u = t + 4; t = w + 11; r = g + 8; x = e + 1; g = u + 18; w = o + 12; d = y + 19. If e = 6, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"n": "p + 13", "s": "n + 15", "u": "s + 9", "v": "u + 16", "r": "v + 7", "d": "r + 15", "f": "p + 7", "q": "f + 20", "t": "q + 3", "z": "t + 18", "m": "z + 18", "i": "m + 2", "p": 18}, "premises": {"p": 18}, "target": "d"}, "answer": {"steps": [["r", "v + 7", "v + 22"], ["v", "u + 16", "u + 38"], ["u", "s + 9", "s + 47"], ["s", "n + 15", "n + 62"], ["n", "p + 13", "p + 75"], ["p", 18, "93"]], "target_var_name": "d", "target_value": 93, "value_dict": {"p": 18}, "is_reverse": true}} | 21,925 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = f + 20; u = s + 9; s = n + 15; i = m + 2; z = t + 18; f = p + 7; n = p + 13; p = 18; v = u + 16; r = v + 7; t = q + 3; m = z + 18; d = r + 15. If p = 18, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = v + 7 to d, which gives d = v + 22.\n2. Substitute v = u + 16 to d, which gives d = u + 38.\n3. Substitute u = s + 9 to d, which gives d = s + 47.\n4. Substitute s = n + 15 to d, which gives d = n + 62.\n5. Substitute n = p + 13 to d, which gives d = p + 75.\n6. Substitute p = 18 to d, which gives d = 93.\n\nThus, the final answer is d = \\boxed{93}.",
"index": 21925,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = f + 20; u = s + 9; s = n + 15; i = m + 2; z = t + 18; f = p + 7; n = p + 13; p = 18; v = u + 16; r = v + 7; t = q + 3; m = z + 18; d = r + 15. If p = 18, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"s": "c + 19", "n": "s + 7", "w": "n + 13", "m": "w + 6", "f": "m + 2", "l": "f + 9", "g": "c + 6", "u": "g + 3", "i": "u + 8", "y": "i + 1", "e": "y + 20", "k": "e + 4", "c": 20}, "premises": {"c": 20}, "target": "l"}, "answer": {"steps": [["f", "m + 2", "m + 11"], ["m", "w + 6", "w + 17"], ["w", "n + 13", "n + 30"], ["n", "s + 7", "s + 37"], ["s", "c + 19", "c + 56"], ["c", 20, "76"]], "target_var_name": "l", "target_value": 76, "value_dict": {"c": 20}, "is_reverse": true}} | 21,926 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = e + 4; u = g + 3; c = 20; l = f + 9; n = s + 7; g = c + 6; y = i + 1; s = c + 19; i = u + 8; e = y + 20; m = w + 6; f = m + 2; w = n + 13. If c = 20, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = m + 2 to l, which gives l = m + 11.\n2. Substitute m = w + 6 to l, which gives l = w + 17.\n3. Substitute w = n + 13 to l, which gives l = n + 30.\n4. Substitute n = s + 7 to l, which gives l = s + 37.\n5. Substitute s = c + 19 to l, which gives l = c + 56.\n6. Substitute c = 20 to l, which gives l = 76.\n\nThus, the final answer is l = \\boxed{76}.",
"index": 21926,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = e + 4; u = g + 3; c = 20; l = f + 9; n = s + 7; g = c + 6; y = i + 1; s = c + 19; i = u + 8; e = y + 20; m = w + 6; f = m + 2; w = n + 13. If c = 20, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"w": "c + 1", "n": "w + 11", "s": "n + 8", "q": "s + 9", "u": "q + 13", "i": "u + 1", "b": "c + 5", "k": "b + 7", "z": "k + 18", "l": "z + 1", "j": "l + 7", "h": "j + 16", "c": 7}, "premises": {"c": 7}, "target": "i"}, "answer": {"steps": [["u", "q + 13", "q + 14"], ["q", "s + 9", "s + 23"], ["s", "n + 8", "n + 31"], ["n", "w + 11", "w + 42"], ["w", "c + 1", "c + 43"], ["c", 7, "50"]], "target_var_name": "i", "target_value": 50, "value_dict": {"c": 7}, "is_reverse": true}} | 21,927 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = b + 7; z = k + 18; w = c + 1; b = c + 5; l = z + 1; u = q + 13; n = w + 11; j = l + 7; h = j + 16; c = 7; i = u + 1; s = n + 8; q = s + 9. Given that c = 7, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = q + 13 to i, which gives i = q + 14.\n2. Substitute q = s + 9 to i, which gives i = s + 23.\n3. Substitute s = n + 8 to i, which gives i = n + 31.\n4. Substitute n = w + 11 to i, which gives i = w + 42.\n5. Substitute w = c + 1 to i, which gives i = c + 43.\n6. Substitute c = 7 to i, which gives i = 50.\n\nThus, the final answer is i = \\boxed{50}.",
"index": 21927,
"question": "Suppose a collection of variables is related by the following definitions: k = b + 7; z = k + 18; w = c + 1; b = c + 5; l = z + 1; u = q + 13; n = w + 11; j = l + 7; h = j + 16; c = 7; i = u + 1; s = n + 8; q = s + 9. Given that c = 7, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"f": "v + 3", "t": "f + 3", "s": "t + 2", "m": "s + 13", "x": "m + 15", "b": "x + 18", "n": "v + 20", "h": "n + 1", "j": "h + 16", "o": "j + 12", "l": "o + 1", "e": "l + 4", "v": 8}, "premises": {"v": 8}, "target": "b"}, "answer": {"steps": [["x", "m + 15", "m + 33"], ["m", "s + 13", "s + 46"], ["s", "t + 2", "t + 48"], ["t", "f + 3", "f + 51"], ["f", "v + 3", "v + 54"], ["v", 8, "62"]], "target_var_name": "b", "target_value": 62, "value_dict": {"v": 8}, "is_reverse": true}} | 21,928 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = v + 20; f = v + 3; x = m + 15; m = s + 13; s = t + 2; v = 8; j = h + 16; b = x + 18; e = l + 4; o = j + 12; l = o + 1; h = n + 1; t = f + 3. If v = 8, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = m + 15 to b, which gives b = m + 33.\n2. Substitute m = s + 13 to b, which gives b = s + 46.\n3. Substitute s = t + 2 to b, which gives b = t + 48.\n4. Substitute t = f + 3 to b, which gives b = f + 51.\n5. Substitute f = v + 3 to b, which gives b = v + 54.\n6. Substitute v = 8 to b, which gives b = 62.\n\nThus, the final answer is b = \\boxed{62}.",
"index": 21928,
"question": "Consider a system of variables where each variable is defined as follows: n = v + 20; f = v + 3; x = m + 15; m = s + 13; s = t + 2; v = 8; j = h + 16; b = x + 18; e = l + 4; o = j + 12; l = o + 1; h = n + 1; t = f + 3. If v = 8, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"j": "c + 6", "b": "j + 11", "a": "b + 5", "s": "a + 6", "n": "s + 14", "h": "n + 20", "y": "c + 15", "g": "y + 6", "k": "g + 20", "u": "k + 19", "p": "u + 17", "x": "p + 20", "c": 18}, "premises": {"c": 18}, "target": "h"}, "answer": {"steps": [["n", "s + 14", "s + 34"], ["s", "a + 6", "a + 40"], ["a", "b + 5", "b + 45"], ["b", "j + 11", "j + 56"], ["j", "c + 6", "c + 62"], ["c", 18, "80"]], "target_var_name": "h", "target_value": 80, "value_dict": {"c": 18}, "is_reverse": true}} | 21,929 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = n + 20; x = p + 20; p = u + 17; b = j + 11; c = 18; a = b + 5; k = g + 20; y = c + 15; g = y + 6; u = k + 19; n = s + 14; s = a + 6; j = c + 6. If c = 18, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = s + 14 to h, which gives h = s + 34.\n2. Substitute s = a + 6 to h, which gives h = a + 40.\n3. Substitute a = b + 5 to h, which gives h = b + 45.\n4. Substitute b = j + 11 to h, which gives h = j + 56.\n5. Substitute j = c + 6 to h, which gives h = c + 62.\n6. Substitute c = 18 to h, which gives h = 80.\n\nThus, the final answer is h = \\boxed{80}.",
"index": 21929,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = n + 20; x = p + 20; p = u + 17; b = j + 11; c = 18; a = b + 5; k = g + 20; y = c + 15; g = y + 6; u = k + 19; n = s + 14; s = a + 6; j = c + 6. If c = 18, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"x": "l + 4", "q": "x + 15", "o": "q + 6", "h": "o + 7", "s": "h + 5", "n": "s + 12", "t": "l + 13", "v": "t + 4", "j": "v + 13", "i": "j + 9", "k": "i + 1", "d": "k + 14", "l": 1}, "premises": {"l": 1}, "target": "n"}, "answer": {"steps": [["s", "h + 5", "h + 17"], ["h", "o + 7", "o + 24"], ["o", "q + 6", "q + 30"], ["q", "x + 15", "x + 45"], ["x", "l + 4", "l + 49"], ["l", 1, "50"]], "target_var_name": "n", "target_value": 50, "value_dict": {"l": 1}, "is_reverse": true}} | 21,930 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = l + 13; k = i + 1; q = x + 15; j = v + 13; x = l + 4; o = q + 6; h = o + 7; v = t + 4; s = h + 5; d = k + 14; i = j + 9; n = s + 12; l = 1. If l = 1, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = h + 5 to n, which gives n = h + 17.\n2. Substitute h = o + 7 to n, which gives n = o + 24.\n3. Substitute o = q + 6 to n, which gives n = q + 30.\n4. Substitute q = x + 15 to n, which gives n = x + 45.\n5. Substitute x = l + 4 to n, which gives n = l + 49.\n6. Substitute l = 1 to n, which gives n = 50.\n\nThus, the final answer is n = \\boxed{50}.",
"index": 21930,
"question": "Consider a system of variables where each variable is defined as follows: t = l + 13; k = i + 1; q = x + 15; j = v + 13; x = l + 4; o = q + 6; h = o + 7; v = t + 4; s = h + 5; d = k + 14; i = j + 9; n = s + 12; l = 1. If l = 1, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"b": "l + 19", "d": "b + 8", "w": "d + 12", "t": "w + 8", "j": "t + 5", "x": "j + 19", "z": "l + 3", "q": "z + 19", "o": "q + 7", "s": "o + 16", "f": "s + 8", "v": "f + 8", "l": 8}, "premises": {"l": 8}, "target": "x"}, "answer": {"steps": [["j", "t + 5", "t + 24"], ["t", "w + 8", "w + 32"], ["w", "d + 12", "d + 44"], ["d", "b + 8", "b + 52"], ["b", "l + 19", "l + 71"], ["l", 8, "79"]], "target_var_name": "x", "target_value": 79, "value_dict": {"l": 8}, "is_reverse": true}} | 21,931 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = s + 8; d = b + 8; o = q + 7; s = o + 16; t = w + 8; w = d + 12; q = z + 19; l = 8; x = j + 19; z = l + 3; v = f + 8; b = l + 19; j = t + 5. If l = 8, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = t + 5 to x, which gives x = t + 24.\n2. Substitute t = w + 8 to x, which gives x = w + 32.\n3. Substitute w = d + 12 to x, which gives x = d + 44.\n4. Substitute d = b + 8 to x, which gives x = b + 52.\n5. Substitute b = l + 19 to x, which gives x = l + 71.\n6. Substitute l = 8 to x, which gives x = 79.\n\nThus, the final answer is x = \\boxed{79}.",
"index": 21931,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = s + 8; d = b + 8; o = q + 7; s = o + 16; t = w + 8; w = d + 12; q = z + 19; l = 8; x = j + 19; z = l + 3; v = f + 8; b = l + 19; j = t + 5. If l = 8, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"z": "n + 19", "v": "z + 19", "t": "v + 3", "x": "t + 2", "l": "x + 15", "o": "l + 11", "g": "n + 4", "m": "g + 18", "w": "m + 6", "q": "w + 13", "f": "q + 12", "h": "f + 1", "n": 2}, "premises": {"n": 2}, "target": "o"}, "answer": {"steps": [["l", "x + 15", "x + 26"], ["x", "t + 2", "t + 28"], ["t", "v + 3", "v + 31"], ["v", "z + 19", "z + 50"], ["z", "n + 19", "n + 69"], ["n", 2, "71"]], "target_var_name": "o", "target_value": 71, "value_dict": {"n": 2}, "is_reverse": true}} | 21,932 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = n + 19; t = v + 3; h = f + 1; q = w + 13; x = t + 2; m = g + 18; n = 2; o = l + 11; v = z + 19; l = x + 15; f = q + 12; w = m + 6; g = n + 4. If n = 2, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = x + 15 to o, which gives o = x + 26.\n2. Substitute x = t + 2 to o, which gives o = t + 28.\n3. Substitute t = v + 3 to o, which gives o = v + 31.\n4. Substitute v = z + 19 to o, which gives o = z + 50.\n5. Substitute z = n + 19 to o, which gives o = n + 69.\n6. Substitute n = 2 to o, which gives o = 71.\n\nThus, the final answer is o = \\boxed{71}.",
"index": 21932,
"question": "Consider a system of variables where each variable is defined as follows: z = n + 19; t = v + 3; h = f + 1; q = w + 13; x = t + 2; m = g + 18; n = 2; o = l + 11; v = z + 19; l = x + 15; f = q + 12; w = m + 6; g = n + 4. If n = 2, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"w": "j + 11", "v": "w + 4", "x": "v + 9", "p": "x + 8", "s": "p + 14", "g": "s + 6", "a": "j + 13", "m": "a + 2", "e": "m + 3", "q": "e + 15", "u": "q + 2", "t": "u + 18", "j": 12}, "premises": {"j": 12}, "target": "g"}, "answer": {"steps": [["s", "p + 14", "p + 20"], ["p", "x + 8", "x + 28"], ["x", "v + 9", "v + 37"], ["v", "w + 4", "w + 41"], ["w", "j + 11", "j + 52"], ["j", 12, "64"]], "target_var_name": "g", "target_value": 64, "value_dict": {"j": 12}, "is_reverse": true}} | 21,933 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = s + 6; e = m + 3; w = j + 11; p = x + 8; m = a + 2; q = e + 15; t = u + 18; v = w + 4; u = q + 2; a = j + 13; j = 12; x = v + 9; s = p + 14. Given that j = 12, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = p + 14 to g, which gives g = p + 20.\n2. Substitute p = x + 8 to g, which gives g = x + 28.\n3. Substitute x = v + 9 to g, which gives g = v + 37.\n4. Substitute v = w + 4 to g, which gives g = w + 41.\n5. Substitute w = j + 11 to g, which gives g = j + 52.\n6. Substitute j = 12 to g, which gives g = 64.\n\nThus, the final answer is g = \\boxed{64}.",
"index": 21933,
"question": "Suppose a collection of variables is related by the following definitions: g = s + 6; e = m + 3; w = j + 11; p = x + 8; m = a + 2; q = e + 15; t = u + 18; v = w + 4; u = q + 2; a = j + 13; j = 12; x = v + 9; s = p + 14. Given that j = 12, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"f": "i + 10", "h": "f + 10", "r": "h + 15", "q": "r + 4", "n": "q + 17", "w": "n + 14", "x": "i + 13", "m": "x + 9", "j": "m + 5", "e": "j + 6", "o": "e + 20", "v": "o + 3", "i": 20}, "premises": {"i": 20}, "target": "w"}, "answer": {"steps": [["n", "q + 17", "q + 31"], ["q", "r + 4", "r + 35"], ["r", "h + 15", "h + 50"], ["h", "f + 10", "f + 60"], ["f", "i + 10", "i + 70"], ["i", 20, "90"]], "target_var_name": "w", "target_value": 90, "value_dict": {"i": 20}, "is_reverse": true}} | 21,934 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = e + 20; i = 20; n = q + 17; f = i + 10; j = m + 5; m = x + 9; w = n + 14; r = h + 15; h = f + 10; e = j + 6; x = i + 13; v = o + 3; q = r + 4. If i = 20, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = q + 17 to w, which gives w = q + 31.\n2. Substitute q = r + 4 to w, which gives w = r + 35.\n3. Substitute r = h + 15 to w, which gives w = h + 50.\n4. Substitute h = f + 10 to w, which gives w = f + 60.\n5. Substitute f = i + 10 to w, which gives w = i + 70.\n6. Substitute i = 20 to w, which gives w = 90.\n\nThus, the final answer is w = \\boxed{90}.",
"index": 21934,
"question": "Consider a system of variables where each variable is defined as follows: o = e + 20; i = 20; n = q + 17; f = i + 10; j = m + 5; m = x + 9; w = n + 14; r = h + 15; h = f + 10; e = j + 6; x = i + 13; v = o + 3; q = r + 4. If i = 20, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"n": "i + 17", "e": "n + 19", "k": "e + 3", "m": "k + 9", "f": "m + 4", "u": "f + 13", "r": "i + 19", "x": "r + 19", "a": "x + 16", "v": "a + 15", "s": "v + 3", "y": "s + 18", "i": 3}, "premises": {"i": 3}, "target": "u"}, "answer": {"steps": [["f", "m + 4", "m + 17"], ["m", "k + 9", "k + 26"], ["k", "e + 3", "e + 29"], ["e", "n + 19", "n + 48"], ["n", "i + 17", "i + 65"], ["i", 3, "68"]], "target_var_name": "u", "target_value": 68, "value_dict": {"i": 3}, "is_reverse": true}} | 21,935 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = r + 19; i = 3; s = v + 3; u = f + 13; m = k + 9; e = n + 19; a = x + 16; y = s + 18; v = a + 15; k = e + 3; f = m + 4; r = i + 19; n = i + 17. Given that i = 3, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = m + 4 to u, which gives u = m + 17.\n2. Substitute m = k + 9 to u, which gives u = k + 26.\n3. Substitute k = e + 3 to u, which gives u = e + 29.\n4. Substitute e = n + 19 to u, which gives u = n + 48.\n5. Substitute n = i + 17 to u, which gives u = i + 65.\n6. Substitute i = 3 to u, which gives u = 68.\n\nThus, the final answer is u = \\boxed{68}.",
"index": 21935,
"question": "Suppose a collection of variables is related by the following definitions: x = r + 19; i = 3; s = v + 3; u = f + 13; m = k + 9; e = n + 19; a = x + 16; y = s + 18; v = a + 15; k = e + 3; f = m + 4; r = i + 19; n = i + 17. Given that i = 3, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"j": "y + 9", "v": "j + 7", "m": "v + 6", "b": "m + 17", "h": "b + 5", "c": "h + 1", "r": "y + 20", "o": "r + 2", "s": "o + 9", "k": "s + 4", "x": "k + 18", "t": "x + 13", "y": 14}, "premises": {"y": 14}, "target": "c"}, "answer": {"steps": [["h", "b + 5", "b + 6"], ["b", "m + 17", "m + 23"], ["m", "v + 6", "v + 29"], ["v", "j + 7", "j + 36"], ["j", "y + 9", "y + 45"], ["y", 14, "59"]], "target_var_name": "c", "target_value": 59, "value_dict": {"y": 14}, "is_reverse": true}} | 21,936 | 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 = j + 7; k = s + 4; h = b + 5; t = x + 13; s = o + 9; x = k + 18; r = y + 20; b = m + 17; o = r + 2; c = h + 1; m = v + 6; j = y + 9; y = 14. If y = 14, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = b + 5 to c, which gives c = b + 6.\n2. Substitute b = m + 17 to c, which gives c = m + 23.\n3. Substitute m = v + 6 to c, which gives c = v + 29.\n4. Substitute v = j + 7 to c, which gives c = j + 36.\n5. Substitute j = y + 9 to c, which gives c = y + 45.\n6. Substitute y = 14 to c, which gives c = 59.\n\nThus, the final answer is c = \\boxed{59}.",
"index": 21936,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = j + 7; k = s + 4; h = b + 5; t = x + 13; s = o + 9; x = k + 18; r = y + 20; b = m + 17; o = r + 2; c = h + 1; m = v + 6; j = y + 9; y = 14. If y = 14, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"k": "x + 16", "t": "k + 1", "r": "t + 12", "a": "r + 3", "j": "a + 8", "w": "j + 7", "b": "x + 8", "h": "b + 15", "v": "h + 17", "o": "v + 4", "q": "o + 13", "y": "q + 1", "x": 18}, "premises": {"x": 18}, "target": "w"}, "answer": {"steps": [["j", "a + 8", "a + 15"], ["a", "r + 3", "r + 18"], ["r", "t + 12", "t + 30"], ["t", "k + 1", "k + 31"], ["k", "x + 16", "x + 47"], ["x", 18, "65"]], "target_var_name": "w", "target_value": 65, "value_dict": {"x": 18}, "is_reverse": true}} | 21,937 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = b + 15; x = 18; r = t + 12; o = v + 4; b = x + 8; k = x + 16; j = a + 8; v = h + 17; t = k + 1; y = q + 1; a = r + 3; q = o + 13; w = j + 7. Given that x = 18, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = a + 8 to w, which gives w = a + 15.\n2. Substitute a = r + 3 to w, which gives w = r + 18.\n3. Substitute r = t + 12 to w, which gives w = t + 30.\n4. Substitute t = k + 1 to w, which gives w = k + 31.\n5. Substitute k = x + 16 to w, which gives w = x + 47.\n6. Substitute x = 18 to w, which gives w = 65.\n\nThus, the final answer is w = \\boxed{65}.",
"index": 21937,
"question": "Suppose a collection of variables is related by the following definitions: h = b + 15; x = 18; r = t + 12; o = v + 4; b = x + 8; k = x + 16; j = a + 8; v = h + 17; t = k + 1; y = q + 1; a = r + 3; q = o + 13; w = j + 7. Given that x = 18, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"r": "d + 8", "s": "r + 10", "i": "s + 1", "l": "i + 17", "p": "l + 19", "n": "p + 15", "j": "d + 9", "w": "j + 14", "q": "w + 15", "m": "q + 15", "x": "m + 11", "f": "x + 10", "d": 10}, "premises": {"d": 10}, "target": "n"}, "answer": {"steps": [["p", "l + 19", "l + 34"], ["l", "i + 17", "i + 51"], ["i", "s + 1", "s + 52"], ["s", "r + 10", "r + 62"], ["r", "d + 8", "d + 70"], ["d", 10, "80"]], "target_var_name": "n", "target_value": 80, "value_dict": {"d": 10}, "is_reverse": true}} | 21,938 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = d + 8; m = q + 15; x = m + 11; j = d + 9; w = j + 14; p = l + 19; i = s + 1; d = 10; f = x + 10; s = r + 10; n = p + 15; q = w + 15; l = i + 17. Given that d = 10, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = l + 19 to n, which gives n = l + 34.\n2. Substitute l = i + 17 to n, which gives n = i + 51.\n3. Substitute i = s + 1 to n, which gives n = s + 52.\n4. Substitute s = r + 10 to n, which gives n = r + 62.\n5. Substitute r = d + 8 to n, which gives n = d + 70.\n6. Substitute d = 10 to n, which gives n = 80.\n\nThus, the final answer is n = \\boxed{80}.",
"index": 21938,
"question": "Suppose a collection of variables is related by the following definitions: r = d + 8; m = q + 15; x = m + 11; j = d + 9; w = j + 14; p = l + 19; i = s + 1; d = 10; f = x + 10; s = r + 10; n = p + 15; q = w + 15; l = i + 17. Given that d = 10, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"e": "c + 14", "s": "e + 11", "j": "s + 6", "y": "j + 5", "v": "y + 14", "z": "v + 5", "h": "c + 3", "q": "h + 10", "u": "q + 5", "t": "u + 14", "b": "t + 12", "r": "b + 13", "c": 1}, "premises": {"c": 1}, "target": "z"}, "answer": {"steps": [["v", "y + 14", "y + 19"], ["y", "j + 5", "j + 24"], ["j", "s + 6", "s + 30"], ["s", "e + 11", "e + 41"], ["e", "c + 14", "c + 55"], ["c", 1, "56"]], "target_var_name": "z", "target_value": 56, "value_dict": {"c": 1}, "is_reverse": true}} | 21,939 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = y + 14; t = u + 14; j = s + 6; u = q + 5; b = t + 12; e = c + 14; q = h + 10; s = e + 11; r = b + 13; y = j + 5; h = c + 3; z = v + 5; c = 1. If c = 1, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = y + 14 to z, which gives z = y + 19.\n2. Substitute y = j + 5 to z, which gives z = j + 24.\n3. Substitute j = s + 6 to z, which gives z = s + 30.\n4. Substitute s = e + 11 to z, which gives z = e + 41.\n5. Substitute e = c + 14 to z, which gives z = c + 55.\n6. Substitute c = 1 to z, which gives z = 56.\n\nThus, the final answer is z = \\boxed{56}.",
"index": 21939,
"question": "Consider a system of variables where each variable is defined as follows: v = y + 14; t = u + 14; j = s + 6; u = q + 5; b = t + 12; e = c + 14; q = h + 10; s = e + 11; r = b + 13; y = j + 5; h = c + 3; z = v + 5; c = 1. If c = 1, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"m": "j + 12", "x": "m + 17", "l": "x + 8", "k": "l + 16", "n": "k + 2", "t": "n + 14", "d": "j + 2", "o": "d + 16", "b": "o + 3", "s": "b + 11", "e": "s + 20", "c": "e + 10", "j": 8}, "premises": {"j": 8}, "target": "t"}, "answer": {"steps": [["n", "k + 2", "k + 16"], ["k", "l + 16", "l + 32"], ["l", "x + 8", "x + 40"], ["x", "m + 17", "m + 57"], ["m", "j + 12", "j + 69"], ["j", 8, "77"]], "target_var_name": "t", "target_value": 77, "value_dict": {"j": 8}, "is_reverse": true}} | 21,940 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = s + 20; n = k + 2; l = x + 8; k = l + 16; s = b + 11; x = m + 17; b = o + 3; o = d + 16; j = 8; m = j + 12; t = n + 14; d = j + 2; c = e + 10. If j = 8, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = k + 2 to t, which gives t = k + 16.\n2. Substitute k = l + 16 to t, which gives t = l + 32.\n3. Substitute l = x + 8 to t, which gives t = x + 40.\n4. Substitute x = m + 17 to t, which gives t = m + 57.\n5. Substitute m = j + 12 to t, which gives t = j + 69.\n6. Substitute j = 8 to t, which gives t = 77.\n\nThus, the final answer is t = \\boxed{77}.",
"index": 21940,
"question": "Consider a system of variables where each variable is defined as follows: e = s + 20; n = k + 2; l = x + 8; k = l + 16; s = b + 11; x = m + 17; b = o + 3; o = d + 16; j = 8; m = j + 12; t = n + 14; d = j + 2; c = e + 10. If j = 8, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"e": "l + 16", "v": "e + 8", "t": "v + 17", "r": "t + 17", "u": "r + 16", "n": "u + 1", "y": "l + 2", "o": "y + 12", "s": "o + 18", "z": "s + 15", "k": "z + 4", "c": "k + 19", "l": 6}, "premises": {"l": 6}, "target": "n"}, "answer": {"steps": [["u", "r + 16", "r + 17"], ["r", "t + 17", "t + 34"], ["t", "v + 17", "v + 51"], ["v", "e + 8", "e + 59"], ["e", "l + 16", "l + 75"], ["l", 6, "81"]], "target_var_name": "n", "target_value": 81, "value_dict": {"l": 6}, "is_reverse": true}} | 21,941 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = l + 2; c = k + 19; n = u + 1; s = o + 18; v = e + 8; o = y + 12; u = r + 16; t = v + 17; e = l + 16; r = t + 17; z = s + 15; k = z + 4; l = 6. Given that l = 6, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = r + 16 to n, which gives n = r + 17.\n2. Substitute r = t + 17 to n, which gives n = t + 34.\n3. Substitute t = v + 17 to n, which gives n = v + 51.\n4. Substitute v = e + 8 to n, which gives n = e + 59.\n5. Substitute e = l + 16 to n, which gives n = l + 75.\n6. Substitute l = 6 to n, which gives n = 81.\n\nThus, the final answer is n = \\boxed{81}.",
"index": 21941,
"question": "Suppose a collection of variables is related by the following definitions: y = l + 2; c = k + 19; n = u + 1; s = o + 18; v = e + 8; o = y + 12; u = r + 16; t = v + 17; e = l + 16; r = t + 17; z = s + 15; k = z + 4; l = 6. Given that l = 6, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"d": "l + 18", "p": "d + 19", "r": "p + 3", "q": "r + 4", "w": "q + 5", "g": "w + 2", "n": "l + 13", "a": "n + 14", "u": "a + 9", "i": "u + 8", "v": "i + 7", "z": "v + 18", "l": 6}, "premises": {"l": 6}, "target": "g"}, "answer": {"steps": [["w", "q + 5", "q + 7"], ["q", "r + 4", "r + 11"], ["r", "p + 3", "p + 14"], ["p", "d + 19", "d + 33"], ["d", "l + 18", "l + 51"], ["l", 6, "57"]], "target_var_name": "g", "target_value": 57, "value_dict": {"l": 6}, "is_reverse": true}} | 21,942 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = a + 9; n = l + 13; d = l + 18; p = d + 19; l = 6; w = q + 5; r = p + 3; i = u + 8; v = i + 7; z = v + 18; q = r + 4; a = n + 14; g = w + 2. If l = 6, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = q + 5 to g, which gives g = q + 7.\n2. Substitute q = r + 4 to g, which gives g = r + 11.\n3. Substitute r = p + 3 to g, which gives g = p + 14.\n4. Substitute p = d + 19 to g, which gives g = d + 33.\n5. Substitute d = l + 18 to g, which gives g = l + 51.\n6. Substitute l = 6 to g, which gives g = 57.\n\nThus, the final answer is g = \\boxed{57}.",
"index": 21942,
"question": "Consider a system of variables where each variable is defined as follows: u = a + 9; n = l + 13; d = l + 18; p = d + 19; l = 6; w = q + 5; r = p + 3; i = u + 8; v = i + 7; z = v + 18; q = r + 4; a = n + 14; g = w + 2. If l = 6, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"f": "x + 16", "a": "f + 5", "m": "a + 16", "d": "m + 14", "b": "d + 15", "w": "b + 1", "o": "x + 4", "t": "o + 6", "y": "t + 18", "r": "y + 10", "g": "r + 5", "u": "g + 10", "x": 12}, "premises": {"x": 12}, "target": "w"}, "answer": {"steps": [["b", "d + 15", "d + 16"], ["d", "m + 14", "m + 30"], ["m", "a + 16", "a + 46"], ["a", "f + 5", "f + 51"], ["f", "x + 16", "x + 67"], ["x", 12, "79"]], "target_var_name": "w", "target_value": 79, "value_dict": {"x": 12}, "is_reverse": true}} | 21,943 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = g + 10; w = b + 1; t = o + 6; o = x + 4; m = a + 16; y = t + 18; a = f + 5; f = x + 16; r = y + 10; b = d + 15; d = m + 14; x = 12; g = r + 5. Given that x = 12, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = d + 15 to w, which gives w = d + 16.\n2. Substitute d = m + 14 to w, which gives w = m + 30.\n3. Substitute m = a + 16 to w, which gives w = a + 46.\n4. Substitute a = f + 5 to w, which gives w = f + 51.\n5. Substitute f = x + 16 to w, which gives w = x + 67.\n6. Substitute x = 12 to w, which gives w = 79.\n\nThus, the final answer is w = \\boxed{79}.",
"index": 21943,
"question": "Suppose a collection of variables is related by the following definitions: u = g + 10; w = b + 1; t = o + 6; o = x + 4; m = a + 16; y = t + 18; a = f + 5; f = x + 16; r = y + 10; b = d + 15; d = m + 14; x = 12; g = r + 5. Given that x = 12, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"p": "h + 7", "n": "p + 18", "c": "n + 2", "d": "c + 3", "e": "d + 9", "y": "e + 18", "f": "h + 1", "m": "f + 3", "i": "m + 19", "k": "i + 7", "r": "k + 16", "g": "r + 10", "h": 8}, "premises": {"h": 8}, "target": "y"}, "answer": {"steps": [["e", "d + 9", "d + 27"], ["d", "c + 3", "c + 30"], ["c", "n + 2", "n + 32"], ["n", "p + 18", "p + 50"], ["p", "h + 7", "h + 57"], ["h", 8, "65"]], "target_var_name": "y", "target_value": 65, "value_dict": {"h": 8}, "is_reverse": true}} | 21,944 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = r + 10; i = m + 19; r = k + 16; f = h + 1; p = h + 7; e = d + 9; k = i + 7; n = p + 18; y = e + 18; m = f + 3; h = 8; c = n + 2; d = c + 3. If h = 8, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = d + 9 to y, which gives y = d + 27.\n2. Substitute d = c + 3 to y, which gives y = c + 30.\n3. Substitute c = n + 2 to y, which gives y = n + 32.\n4. Substitute n = p + 18 to y, which gives y = p + 50.\n5. Substitute p = h + 7 to y, which gives y = h + 57.\n6. Substitute h = 8 to y, which gives y = 65.\n\nThus, the final answer is y = \\boxed{65}.",
"index": 21944,
"question": "Consider a system of variables where each variable is defined as follows: g = r + 10; i = m + 19; r = k + 16; f = h + 1; p = h + 7; e = d + 9; k = i + 7; n = p + 18; y = e + 18; m = f + 3; h = 8; c = n + 2; d = c + 3. If h = 8, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"q": "o + 15", "x": "q + 5", "l": "x + 15", "d": "l + 6", "k": "d + 14", "b": "k + 4", "r": "o + 20", "w": "r + 2", "z": "w + 13", "m": "z + 10", "c": "m + 4", "i": "c + 4", "o": 11}, "premises": {"o": 11}, "target": "b"}, "answer": {"steps": [["k", "d + 14", "d + 18"], ["d", "l + 6", "l + 24"], ["l", "x + 15", "x + 39"], ["x", "q + 5", "q + 44"], ["q", "o + 15", "o + 59"], ["o", 11, "70"]], "target_var_name": "b", "target_value": 70, "value_dict": {"o": 11}, "is_reverse": true}} | 21,945 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = x + 15; m = z + 10; x = q + 5; o = 11; k = d + 14; i = c + 4; d = l + 6; z = w + 13; r = o + 20; c = m + 4; b = k + 4; q = o + 15; w = r + 2. If o = 11, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = d + 14 to b, which gives b = d + 18.\n2. Substitute d = l + 6 to b, which gives b = l + 24.\n3. Substitute l = x + 15 to b, which gives b = x + 39.\n4. Substitute x = q + 5 to b, which gives b = q + 44.\n5. Substitute q = o + 15 to b, which gives b = o + 59.\n6. Substitute o = 11 to b, which gives b = 70.\n\nThus, the final answer is b = \\boxed{70}.",
"index": 21945,
"question": "Consider a system of variables where each variable is defined as follows: l = x + 15; m = z + 10; x = q + 5; o = 11; k = d + 14; i = c + 4; d = l + 6; z = w + 13; r = o + 20; c = m + 4; b = k + 4; q = o + 15; w = r + 2. If o = 11, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"c": "r + 15", "t": "c + 2", "s": "t + 9", "p": "s + 18", "o": "p + 15", "q": "o + 11", "b": "r + 16", "i": "b + 5", "n": "i + 15", "x": "n + 19", "l": "x + 20", "e": "l + 4", "r": 19}, "premises": {"r": 19}, "target": "q"}, "answer": {"steps": [["o", "p + 15", "p + 26"], ["p", "s + 18", "s + 44"], ["s", "t + 9", "t + 53"], ["t", "c + 2", "c + 55"], ["c", "r + 15", "r + 70"], ["r", 19, "89"]], "target_var_name": "q", "target_value": 89, "value_dict": {"r": 19}, "is_reverse": true}} | 21,946 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = i + 15; t = c + 2; o = p + 15; x = n + 19; s = t + 9; b = r + 16; q = o + 11; r = 19; e = l + 4; p = s + 18; l = x + 20; c = r + 15; i = b + 5. Given that r = 19, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = p + 15 to q, which gives q = p + 26.\n2. Substitute p = s + 18 to q, which gives q = s + 44.\n3. Substitute s = t + 9 to q, which gives q = t + 53.\n4. Substitute t = c + 2 to q, which gives q = c + 55.\n5. Substitute c = r + 15 to q, which gives q = r + 70.\n6. Substitute r = 19 to q, which gives q = 89.\n\nThus, the final answer is q = \\boxed{89}.",
"index": 21946,
"question": "Suppose a collection of variables is related by the following definitions: n = i + 15; t = c + 2; o = p + 15; x = n + 19; s = t + 9; b = r + 16; q = o + 11; r = 19; e = l + 4; p = s + 18; l = x + 20; c = r + 15; i = b + 5. Given that r = 19, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"n": "p + 13", "t": "n + 18", "j": "t + 10", "v": "j + 11", "b": "v + 15", "e": "b + 10", "c": "p + 11", "a": "c + 6", "z": "a + 4", "u": "z + 3", "d": "u + 9", "k": "d + 17", "p": 4}, "premises": {"p": 4}, "target": "e"}, "answer": {"steps": [["b", "v + 15", "v + 25"], ["v", "j + 11", "j + 36"], ["j", "t + 10", "t + 46"], ["t", "n + 18", "n + 64"], ["n", "p + 13", "p + 77"], ["p", 4, "81"]], "target_var_name": "e", "target_value": 81, "value_dict": {"p": 4}, "is_reverse": true}} | 21,947 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = z + 3; j = t + 10; a = c + 6; b = v + 15; n = p + 13; e = b + 10; v = j + 11; c = p + 11; p = 4; k = d + 17; z = a + 4; d = u + 9; t = n + 18. If p = 4, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = v + 15 to e, which gives e = v + 25.\n2. Substitute v = j + 11 to e, which gives e = j + 36.\n3. Substitute j = t + 10 to e, which gives e = t + 46.\n4. Substitute t = n + 18 to e, which gives e = n + 64.\n5. Substitute n = p + 13 to e, which gives e = p + 77.\n6. Substitute p = 4 to e, which gives e = 81.\n\nThus, the final answer is e = \\boxed{81}.",
"index": 21947,
"question": "Consider a system of variables where each variable is defined as follows: u = z + 3; j = t + 10; a = c + 6; b = v + 15; n = p + 13; e = b + 10; v = j + 11; c = p + 11; p = 4; k = d + 17; z = a + 4; d = u + 9; t = n + 18. If p = 4, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"n": "s + 6", "v": "n + 9", "j": "v + 15", "p": "j + 18", "r": "p + 7", "t": "r + 11", "d": "s + 20", "u": "d + 14", "e": "u + 6", "c": "e + 13", "i": "c + 14", "q": "i + 8", "s": 12}, "premises": {"s": 12}, "target": "t"}, "answer": {"steps": [["r", "p + 7", "p + 18"], ["p", "j + 18", "j + 36"], ["j", "v + 15", "v + 51"], ["v", "n + 9", "n + 60"], ["n", "s + 6", "s + 66"], ["s", 12, "78"]], "target_var_name": "t", "target_value": 78, "value_dict": {"s": 12}, "is_reverse": true}} | 21,948 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = u + 6; r = p + 7; n = s + 6; q = i + 8; c = e + 13; i = c + 14; t = r + 11; d = s + 20; s = 12; v = n + 9; p = j + 18; u = d + 14; j = v + 15. If s = 12, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = p + 7 to t, which gives t = p + 18.\n2. Substitute p = j + 18 to t, which gives t = j + 36.\n3. Substitute j = v + 15 to t, which gives t = v + 51.\n4. Substitute v = n + 9 to t, which gives t = n + 60.\n5. Substitute n = s + 6 to t, which gives t = s + 66.\n6. Substitute s = 12 to t, which gives t = 78.\n\nThus, the final answer is t = \\boxed{78}.",
"index": 21948,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = u + 6; r = p + 7; n = s + 6; q = i + 8; c = e + 13; i = c + 14; t = r + 11; d = s + 20; s = 12; v = n + 9; p = j + 18; u = d + 14; j = v + 15. If s = 12, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"b": "q + 8", "x": "b + 14", "v": "x + 6", "t": "v + 9", "m": "t + 13", "h": "m + 18", "p": "q + 4", "g": "p + 13", "s": "g + 3", "n": "s + 18", "a": "n + 8", "o": "a + 15", "q": 5}, "premises": {"q": 5}, "target": "h"}, "answer": {"steps": [["m", "t + 13", "t + 31"], ["t", "v + 9", "v + 40"], ["v", "x + 6", "x + 46"], ["x", "b + 14", "b + 60"], ["b", "q + 8", "q + 68"], ["q", 5, "73"]], "target_var_name": "h", "target_value": 73, "value_dict": {"q": 5}, "is_reverse": true}} | 21,949 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = p + 13; o = a + 15; q = 5; v = x + 6; t = v + 9; s = g + 3; b = q + 8; x = b + 14; m = t + 13; n = s + 18; p = q + 4; a = n + 8; h = m + 18. Given that q = 5, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = t + 13 to h, which gives h = t + 31.\n2. Substitute t = v + 9 to h, which gives h = v + 40.\n3. Substitute v = x + 6 to h, which gives h = x + 46.\n4. Substitute x = b + 14 to h, which gives h = b + 60.\n5. Substitute b = q + 8 to h, which gives h = q + 68.\n6. Substitute q = 5 to h, which gives h = 73.\n\nThus, the final answer is h = \\boxed{73}.",
"index": 21949,
"question": "Suppose a collection of variables is related by the following definitions: g = p + 13; o = a + 15; q = 5; v = x + 6; t = v + 9; s = g + 3; b = q + 8; x = b + 14; m = t + 13; n = s + 18; p = q + 4; a = n + 8; h = m + 18. Given that q = 5, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"o": "b + 14", "m": "o + 20", "n": "m + 11", "q": "n + 11", "z": "q + 5", "k": "z + 20", "j": "b + 12", "x": "j + 12", "d": "x + 1", "i": "d + 10", "h": "i + 16", "u": "h + 16", "b": 2}, "premises": {"b": 2}, "target": "k"}, "answer": {"steps": [["z", "q + 5", "q + 25"], ["q", "n + 11", "n + 36"], ["n", "m + 11", "m + 47"], ["m", "o + 20", "o + 67"], ["o", "b + 14", "b + 81"], ["b", 2, "83"]], "target_var_name": "k", "target_value": 83, "value_dict": {"b": 2}, "is_reverse": true}} | 21,950 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = m + 11; m = o + 20; j = b + 12; d = x + 1; i = d + 10; o = b + 14; h = i + 16; u = h + 16; b = 2; x = j + 12; q = n + 11; k = z + 20; z = q + 5. If b = 2, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = q + 5 to k, which gives k = q + 25.\n2. Substitute q = n + 11 to k, which gives k = n + 36.\n3. Substitute n = m + 11 to k, which gives k = m + 47.\n4. Substitute m = o + 20 to k, which gives k = o + 67.\n5. Substitute o = b + 14 to k, which gives k = b + 81.\n6. Substitute b = 2 to k, which gives k = 83.\n\nThus, the final answer is k = \\boxed{83}.",
"index": 21950,
"question": "Consider a system of variables where each variable is defined as follows: n = m + 11; m = o + 20; j = b + 12; d = x + 1; i = d + 10; o = b + 14; h = i + 16; u = h + 16; b = 2; x = j + 12; q = n + 11; k = z + 20; z = q + 5. If b = 2, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"k": "n + 5", "q": "k + 4", "t": "q + 8", "h": "t + 4", "w": "h + 11", "f": "w + 4", "r": "n + 15", "p": "r + 11", "d": "p + 16", "y": "d + 3", "s": "y + 19", "x": "s + 19", "n": 2}, "premises": {"n": 2}, "target": "f"}, "answer": {"steps": [["w", "h + 11", "h + 15"], ["h", "t + 4", "t + 19"], ["t", "q + 8", "q + 27"], ["q", "k + 4", "k + 31"], ["k", "n + 5", "n + 36"], ["n", 2, "38"]], "target_var_name": "f", "target_value": 38, "value_dict": {"n": 2}, "is_reverse": true}} | 21,951 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = k + 4; h = t + 4; s = y + 19; r = n + 15; n = 2; y = d + 3; t = q + 8; k = n + 5; f = w + 4; p = r + 11; x = s + 19; w = h + 11; d = p + 16. If n = 2, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 38,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = h + 11 to f, which gives f = h + 15.\n2. Substitute h = t + 4 to f, which gives f = t + 19.\n3. Substitute t = q + 8 to f, which gives f = q + 27.\n4. Substitute q = k + 4 to f, which gives f = k + 31.\n5. Substitute k = n + 5 to f, which gives f = n + 36.\n6. Substitute n = 2 to f, which gives f = 38.\n\nThus, the final answer is f = \\boxed{38}.",
"index": 21951,
"question": "Consider a system of variables where each variable is defined as follows: q = k + 4; h = t + 4; s = y + 19; r = n + 15; n = 2; y = d + 3; t = q + 8; k = n + 5; f = w + 4; p = r + 11; x = s + 19; w = h + 11; d = p + 16. If n = 2, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"g": "j + 16", "b": "g + 12", "r": "b + 9", "e": "r + 19", "w": "e + 8", "d": "w + 10", "y": "j + 4", "m": "y + 16", "p": "m + 17", "n": "p + 2", "a": "n + 13", "i": "a + 16", "j": 1}, "premises": {"j": 1}, "target": "d"}, "answer": {"steps": [["w", "e + 8", "e + 18"], ["e", "r + 19", "r + 37"], ["r", "b + 9", "b + 46"], ["b", "g + 12", "g + 58"], ["g", "j + 16", "j + 74"], ["j", 1, "75"]], "target_var_name": "d", "target_value": 75, "value_dict": {"j": 1}, "is_reverse": true}} | 21,952 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = g + 12; m = y + 16; j = 1; p = m + 17; y = j + 4; i = a + 16; n = p + 2; a = n + 13; d = w + 10; r = b + 9; e = r + 19; g = j + 16; w = e + 8. Given that j = 1, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = e + 8 to d, which gives d = e + 18.\n2. Substitute e = r + 19 to d, which gives d = r + 37.\n3. Substitute r = b + 9 to d, which gives d = b + 46.\n4. Substitute b = g + 12 to d, which gives d = g + 58.\n5. Substitute g = j + 16 to d, which gives d = j + 74.\n6. Substitute j = 1 to d, which gives d = 75.\n\nThus, the final answer is d = \\boxed{75}.",
"index": 21952,
"question": "Suppose a collection of variables is related by the following definitions: b = g + 12; m = y + 16; j = 1; p = m + 17; y = j + 4; i = a + 16; n = p + 2; a = n + 13; d = w + 10; r = b + 9; e = r + 19; g = j + 16; w = e + 8. Given that j = 1, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"e": "q + 4", "a": "e + 3", "d": "a + 15", "w": "d + 3", "s": "w + 4", "m": "s + 14", "p": "q + 9", "r": "p + 17", "n": "r + 4", "u": "n + 2", "f": "u + 17", "v": "f + 5", "q": 10}, "premises": {"q": 10}, "target": "m"}, "answer": {"steps": [["s", "w + 4", "w + 18"], ["w", "d + 3", "d + 21"], ["d", "a + 15", "a + 36"], ["a", "e + 3", "e + 39"], ["e", "q + 4", "q + 43"], ["q", 10, "53"]], "target_var_name": "m", "target_value": 53, "value_dict": {"q": 10}, "is_reverse": true}} | 21,953 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = n + 2; v = f + 5; d = a + 15; e = q + 4; p = q + 9; n = r + 4; q = 10; a = e + 3; m = s + 14; r = p + 17; f = u + 17; w = d + 3; s = w + 4. If q = 10, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = w + 4 to m, which gives m = w + 18.\n2. Substitute w = d + 3 to m, which gives m = d + 21.\n3. Substitute d = a + 15 to m, which gives m = a + 36.\n4. Substitute a = e + 3 to m, which gives m = e + 39.\n5. Substitute e = q + 4 to m, which gives m = q + 43.\n6. Substitute q = 10 to m, which gives m = 53.\n\nThus, the final answer is m = \\boxed{53}.",
"index": 21953,
"question": "Consider a system of variables where each variable is defined as follows: u = n + 2; v = f + 5; d = a + 15; e = q + 4; p = q + 9; n = r + 4; q = 10; a = e + 3; m = s + 14; r = p + 17; f = u + 17; w = d + 3; s = w + 4. If q = 10, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"i": "m + 20", "q": "i + 8", "u": "q + 6", "o": "u + 18", "y": "o + 14", "l": "y + 4", "j": "m + 3", "d": "j + 10", "k": "d + 1", "x": "k + 18", "f": "x + 17", "e": "f + 12", "m": 19}, "premises": {"m": 19}, "target": "l"}, "answer": {"steps": [["y", "o + 14", "o + 18"], ["o", "u + 18", "u + 36"], ["u", "q + 6", "q + 42"], ["q", "i + 8", "i + 50"], ["i", "m + 20", "m + 70"], ["m", 19, "89"]], "target_var_name": "l", "target_value": 89, "value_dict": {"m": 19}, "is_reverse": true}} | 21,954 | 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 + 3; o = u + 18; e = f + 12; d = j + 10; m = 19; y = o + 14; x = k + 18; u = q + 6; i = m + 20; k = d + 1; f = x + 17; l = y + 4; q = i + 8. If m = 19, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = o + 14 to l, which gives l = o + 18.\n2. Substitute o = u + 18 to l, which gives l = u + 36.\n3. Substitute u = q + 6 to l, which gives l = q + 42.\n4. Substitute q = i + 8 to l, which gives l = i + 50.\n5. Substitute i = m + 20 to l, which gives l = m + 70.\n6. Substitute m = 19 to l, which gives l = 89.\n\nThus, the final answer is l = \\boxed{89}.",
"index": 21954,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = m + 3; o = u + 18; e = f + 12; d = j + 10; m = 19; y = o + 14; x = k + 18; u = q + 6; i = m + 20; k = d + 1; f = x + 17; l = y + 4; q = i + 8. If m = 19, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"w": "j + 4", "p": "w + 4", "l": "p + 12", "q": "l + 20", "s": "q + 15", "e": "s + 4", "y": "j + 8", "i": "y + 18", "b": "i + 17", "c": "b + 3", "u": "c + 9", "n": "u + 6", "j": 11}, "premises": {"j": 11}, "target": "e"}, "answer": {"steps": [["s", "q + 15", "q + 19"], ["q", "l + 20", "l + 39"], ["l", "p + 12", "p + 51"], ["p", "w + 4", "w + 55"], ["w", "j + 4", "j + 59"], ["j", 11, "70"]], "target_var_name": "e", "target_value": 70, "value_dict": {"j": 11}, "is_reverse": true}} | 21,955 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = i + 17; w = j + 4; l = p + 12; n = u + 6; p = w + 4; i = y + 18; c = b + 3; y = j + 8; j = 11; e = s + 4; q = l + 20; s = q + 15; u = c + 9. If j = 11, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = q + 15 to e, which gives e = q + 19.\n2. Substitute q = l + 20 to e, which gives e = l + 39.\n3. Substitute l = p + 12 to e, which gives e = p + 51.\n4. Substitute p = w + 4 to e, which gives e = w + 55.\n5. Substitute w = j + 4 to e, which gives e = j + 59.\n6. Substitute j = 11 to e, which gives e = 70.\n\nThus, the final answer is e = \\boxed{70}.",
"index": 21955,
"question": "Consider a system of variables where each variable is defined as follows: b = i + 17; w = j + 4; l = p + 12; n = u + 6; p = w + 4; i = y + 18; c = b + 3; y = j + 8; j = 11; e = s + 4; q = l + 20; s = q + 15; u = c + 9. If j = 11, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"l": "w + 5", "j": "l + 12", "s": "j + 4", "k": "s + 19", "o": "k + 10", "y": "o + 20", "q": "w + 3", "u": "q + 18", "m": "u + 4", "n": "m + 14", "a": "n + 16", "g": "a + 4", "w": 7}, "premises": {"w": 7}, "target": "y"}, "answer": {"steps": [["o", "k + 10", "k + 30"], ["k", "s + 19", "s + 49"], ["s", "j + 4", "j + 53"], ["j", "l + 12", "l + 65"], ["l", "w + 5", "w + 70"], ["w", 7, "77"]], "target_var_name": "y", "target_value": 77, "value_dict": {"w": 7}, "is_reverse": true}} | 21,956 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = w + 3; m = u + 4; w = 7; o = k + 10; k = s + 19; a = n + 16; l = w + 5; j = l + 12; n = m + 14; u = q + 18; s = j + 4; y = o + 20; g = a + 4. If w = 7, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = k + 10 to y, which gives y = k + 30.\n2. Substitute k = s + 19 to y, which gives y = s + 49.\n3. Substitute s = j + 4 to y, which gives y = j + 53.\n4. Substitute j = l + 12 to y, which gives y = l + 65.\n5. Substitute l = w + 5 to y, which gives y = w + 70.\n6. Substitute w = 7 to y, which gives y = 77.\n\nThus, the final answer is y = \\boxed{77}.",
"index": 21956,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = w + 3; m = u + 4; w = 7; o = k + 10; k = s + 19; a = n + 16; l = w + 5; j = l + 12; n = m + 14; u = q + 18; s = j + 4; y = o + 20; g = a + 4. If w = 7, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"g": "p + 13", "a": "g + 20", "u": "a + 9", "o": "u + 1", "f": "o + 10", "i": "f + 4", "b": "p + 19", "m": "b + 10", "z": "m + 14", "y": "z + 15", "l": "y + 20", "w": "l + 8", "p": 4}, "premises": {"p": 4}, "target": "i"}, "answer": {"steps": [["f", "o + 10", "o + 14"], ["o", "u + 1", "u + 15"], ["u", "a + 9", "a + 24"], ["a", "g + 20", "g + 44"], ["g", "p + 13", "p + 57"], ["p", 4, "61"]], "target_var_name": "i", "target_value": 61, "value_dict": {"p": 4}, "is_reverse": true}} | 21,957 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = f + 4; l = y + 20; o = u + 1; p = 4; u = a + 9; b = p + 19; f = o + 10; m = b + 10; w = l + 8; y = z + 15; z = m + 14; g = p + 13; a = g + 20. If p = 4, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = o + 10 to i, which gives i = o + 14.\n2. Substitute o = u + 1 to i, which gives i = u + 15.\n3. Substitute u = a + 9 to i, which gives i = a + 24.\n4. Substitute a = g + 20 to i, which gives i = g + 44.\n5. Substitute g = p + 13 to i, which gives i = p + 57.\n6. Substitute p = 4 to i, which gives i = 61.\n\nThus, the final answer is i = \\boxed{61}.",
"index": 21957,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = f + 4; l = y + 20; o = u + 1; p = 4; u = a + 9; b = p + 19; f = o + 10; m = b + 10; w = l + 8; y = z + 15; z = m + 14; g = p + 13; a = g + 20. If p = 4, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"w": "a + 12", "i": "w + 1", "c": "i + 12", "d": "c + 1", "o": "d + 12", "z": "o + 3", "p": "a + 13", "n": "p + 8", "l": "n + 15", "v": "l + 12", "j": "v + 18", "y": "j + 9", "a": 9}, "premises": {"a": 9}, "target": "z"}, "answer": {"steps": [["o", "d + 12", "d + 15"], ["d", "c + 1", "c + 16"], ["c", "i + 12", "i + 28"], ["i", "w + 1", "w + 29"], ["w", "a + 12", "a + 41"], ["a", 9, "50"]], "target_var_name": "z", "target_value": 50, "value_dict": {"a": 9}, "is_reverse": true}} | 21,958 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = o + 3; y = j + 9; j = v + 18; p = a + 13; w = a + 12; a = 9; d = c + 1; c = i + 12; o = d + 12; l = n + 15; v = l + 12; i = w + 1; n = p + 8. Given that a = 9, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = d + 12 to z, which gives z = d + 15.\n2. Substitute d = c + 1 to z, which gives z = c + 16.\n3. Substitute c = i + 12 to z, which gives z = i + 28.\n4. Substitute i = w + 1 to z, which gives z = w + 29.\n5. Substitute w = a + 12 to z, which gives z = a + 41.\n6. Substitute a = 9 to z, which gives z = 50.\n\nThus, the final answer is z = \\boxed{50}.",
"index": 21958,
"question": "Suppose a collection of variables is related by the following definitions: z = o + 3; y = j + 9; j = v + 18; p = a + 13; w = a + 12; a = 9; d = c + 1; c = i + 12; o = d + 12; l = n + 15; v = l + 12; i = w + 1; n = p + 8. Given that a = 9, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"w": "d + 12", "t": "w + 16", "x": "t + 13", "l": "x + 15", "q": "l + 8", "j": "q + 5", "m": "d + 7", "a": "m + 16", "o": "a + 1", "f": "o + 19", "g": "f + 8", "k": "g + 17", "d": 16}, "premises": {"d": 16}, "target": "j"}, "answer": {"steps": [["q", "l + 8", "l + 13"], ["l", "x + 15", "x + 28"], ["x", "t + 13", "t + 41"], ["t", "w + 16", "w + 57"], ["w", "d + 12", "d + 69"], ["d", 16, "85"]], "target_var_name": "j", "target_value": 85, "value_dict": {"d": 16}, "is_reverse": true}} | 21,959 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = o + 19; k = g + 17; m = d + 7; a = m + 16; q = l + 8; l = x + 15; w = d + 12; g = f + 8; o = a + 1; x = t + 13; j = q + 5; t = w + 16; d = 16. Given that d = 16, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = l + 8 to j, which gives j = l + 13.\n2. Substitute l = x + 15 to j, which gives j = x + 28.\n3. Substitute x = t + 13 to j, which gives j = t + 41.\n4. Substitute t = w + 16 to j, which gives j = w + 57.\n5. Substitute w = d + 12 to j, which gives j = d + 69.\n6. Substitute d = 16 to j, which gives j = 85.\n\nThus, the final answer is j = \\boxed{85}.",
"index": 21959,
"question": "Suppose a collection of variables is related by the following definitions: f = o + 19; k = g + 17; m = d + 7; a = m + 16; q = l + 8; l = x + 15; w = d + 12; g = f + 8; o = a + 1; x = t + 13; j = q + 5; t = w + 16; d = 16. Given that d = 16, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"w": "i + 6", "r": "w + 17", "o": "r + 17", "d": "o + 19", "u": "d + 10", "m": "u + 7", "x": "i + 17", "f": "x + 20", "k": "f + 19", "z": "k + 15", "h": "z + 9", "n": "h + 6", "i": 13}, "premises": {"i": 13}, "target": "m"}, "answer": {"steps": [["u", "d + 10", "d + 17"], ["d", "o + 19", "o + 36"], ["o", "r + 17", "r + 53"], ["r", "w + 17", "w + 70"], ["w", "i + 6", "i + 76"], ["i", 13, "89"]], "target_var_name": "m", "target_value": 89, "value_dict": {"i": 13}, "is_reverse": true}} | 21,960 | 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 = k + 15; u = d + 10; f = x + 20; r = w + 17; m = u + 7; k = f + 19; x = i + 17; o = r + 17; i = 13; w = i + 6; h = z + 9; d = o + 19; n = h + 6. If i = 13, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = d + 10 to m, which gives m = d + 17.\n2. Substitute d = o + 19 to m, which gives m = o + 36.\n3. Substitute o = r + 17 to m, which gives m = r + 53.\n4. Substitute r = w + 17 to m, which gives m = w + 70.\n5. Substitute w = i + 6 to m, which gives m = i + 76.\n6. Substitute i = 13 to m, which gives m = 89.\n\nThus, the final answer is m = \\boxed{89}.",
"index": 21960,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = k + 15; u = d + 10; f = x + 20; r = w + 17; m = u + 7; k = f + 19; x = i + 17; o = r + 17; i = 13; w = i + 6; h = z + 9; d = o + 19; n = h + 6. If i = 13, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"q": "m + 20", "r": "q + 12", "w": "r + 15", "b": "w + 14", "c": "b + 18", "z": "c + 2", "y": "m + 18", "t": "y + 8", "x": "t + 6", "i": "x + 15", "n": "i + 18", "u": "n + 7", "m": 20}, "premises": {"m": 20}, "target": "z"}, "answer": {"steps": [["c", "b + 18", "b + 20"], ["b", "w + 14", "w + 34"], ["w", "r + 15", "r + 49"], ["r", "q + 12", "q + 61"], ["q", "m + 20", "m + 81"], ["m", 20, "101"]], "target_var_name": "z", "target_value": 101, "value_dict": {"m": 20}, "is_reverse": true}} | 21,961 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = x + 15; u = n + 7; y = m + 18; q = m + 20; c = b + 18; m = 20; r = q + 12; t = y + 8; n = i + 18; x = t + 6; z = c + 2; b = w + 14; w = r + 15. If m = 20, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = b + 18 to z, which gives z = b + 20.\n2. Substitute b = w + 14 to z, which gives z = w + 34.\n3. Substitute w = r + 15 to z, which gives z = r + 49.\n4. Substitute r = q + 12 to z, which gives z = q + 61.\n5. Substitute q = m + 20 to z, which gives z = m + 81.\n6. Substitute m = 20 to z, which gives z = 101.\n\nThus, the final answer is z = \\boxed{101}.",
"index": 21961,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = x + 15; u = n + 7; y = m + 18; q = m + 20; c = b + 18; m = 20; r = q + 12; t = y + 8; n = i + 18; x = t + 6; z = c + 2; b = w + 14; w = r + 15. If m = 20, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"c": "p + 8", "y": "c + 13", "v": "y + 9", "d": "v + 7", "x": "d + 13", "t": "x + 1", "g": "p + 7", "i": "g + 14", "e": "i + 11", "o": "e + 3", "s": "o + 6", "u": "s + 17", "p": 14}, "premises": {"p": 14}, "target": "t"}, "answer": {"steps": [["x", "d + 13", "d + 14"], ["d", "v + 7", "v + 21"], ["v", "y + 9", "y + 30"], ["y", "c + 13", "c + 43"], ["c", "p + 8", "p + 51"], ["p", 14, "65"]], "target_var_name": "t", "target_value": 65, "value_dict": {"p": 14}, "is_reverse": true}} | 21,962 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = o + 6; v = y + 9; x = d + 13; d = v + 7; p = 14; g = p + 7; y = c + 13; o = e + 3; c = p + 8; e = i + 11; i = g + 14; t = x + 1; u = s + 17. If p = 14, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = d + 13 to t, which gives t = d + 14.\n2. Substitute d = v + 7 to t, which gives t = v + 21.\n3. Substitute v = y + 9 to t, which gives t = y + 30.\n4. Substitute y = c + 13 to t, which gives t = c + 43.\n5. Substitute c = p + 8 to t, which gives t = p + 51.\n6. Substitute p = 14 to t, which gives t = 65.\n\nThus, the final answer is t = \\boxed{65}.",
"index": 21962,
"question": "Consider a system of variables where each variable is defined as follows: s = o + 6; v = y + 9; x = d + 13; d = v + 7; p = 14; g = p + 7; y = c + 13; o = e + 3; c = p + 8; e = i + 11; i = g + 14; t = x + 1; u = s + 17. If p = 14, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"l": "y + 2", "w": "l + 16", "k": "w + 15", "a": "k + 12", "v": "a + 11", "c": "v + 15", "x": "y + 11", "f": "x + 18", "q": "f + 2", "h": "q + 12", "m": "h + 7", "j": "m + 12", "y": 3}, "premises": {"y": 3}, "target": "c"}, "answer": {"steps": [["v", "a + 11", "a + 26"], ["a", "k + 12", "k + 38"], ["k", "w + 15", "w + 53"], ["w", "l + 16", "l + 69"], ["l", "y + 2", "y + 71"], ["y", 3, "74"]], "target_var_name": "c", "target_value": 74, "value_dict": {"y": 3}, "is_reverse": true}} | 21,963 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = a + 11; x = y + 11; k = w + 15; f = x + 18; y = 3; q = f + 2; a = k + 12; h = q + 12; m = h + 7; w = l + 16; j = m + 12; l = y + 2; c = v + 15. If y = 3, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = a + 11 to c, which gives c = a + 26.\n2. Substitute a = k + 12 to c, which gives c = k + 38.\n3. Substitute k = w + 15 to c, which gives c = w + 53.\n4. Substitute w = l + 16 to c, which gives c = l + 69.\n5. Substitute l = y + 2 to c, which gives c = y + 71.\n6. Substitute y = 3 to c, which gives c = 74.\n\nThus, the final answer is c = \\boxed{74}.",
"index": 21963,
"question": "Consider a system of variables where each variable is defined as follows: v = a + 11; x = y + 11; k = w + 15; f = x + 18; y = 3; q = f + 2; a = k + 12; h = q + 12; m = h + 7; w = l + 16; j = m + 12; l = y + 2; c = v + 15. If y = 3, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"n": "x + 6", "s": "n + 6", "w": "s + 7", "z": "w + 14", "l": "z + 13", "h": "l + 20", "t": "x + 10", "u": "t + 6", "j": "u + 19", "k": "j + 19", "p": "k + 3", "g": "p + 9", "x": 10}, "premises": {"x": 10}, "target": "h"}, "answer": {"steps": [["l", "z + 13", "z + 33"], ["z", "w + 14", "w + 47"], ["w", "s + 7", "s + 54"], ["s", "n + 6", "n + 60"], ["n", "x + 6", "x + 66"], ["x", 10, "76"]], "target_var_name": "h", "target_value": 76, "value_dict": {"x": 10}, "is_reverse": true}} | 21,964 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = z + 13; k = j + 19; n = x + 6; u = t + 6; g = p + 9; t = x + 10; p = k + 3; h = l + 20; s = n + 6; x = 10; z = w + 14; j = u + 19; w = s + 7. If x = 10, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = z + 13 to h, which gives h = z + 33.\n2. Substitute z = w + 14 to h, which gives h = w + 47.\n3. Substitute w = s + 7 to h, which gives h = s + 54.\n4. Substitute s = n + 6 to h, which gives h = n + 60.\n5. Substitute n = x + 6 to h, which gives h = x + 66.\n6. Substitute x = 10 to h, which gives h = 76.\n\nThus, the final answer is h = \\boxed{76}.",
"index": 21964,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = z + 13; k = j + 19; n = x + 6; u = t + 6; g = p + 9; t = x + 10; p = k + 3; h = l + 20; s = n + 6; x = 10; z = w + 14; j = u + 19; w = s + 7. If x = 10, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"d": "v + 13", "y": "d + 1", "x": "y + 1", "o": "x + 10", "c": "o + 17", "u": "c + 16", "w": "v + 8", "z": "w + 3", "n": "z + 3", "k": "n + 11", "q": "k + 5", "s": "q + 2", "v": 20}, "premises": {"v": 20}, "target": "u"}, "answer": {"steps": [["c", "o + 17", "o + 33"], ["o", "x + 10", "x + 43"], ["x", "y + 1", "y + 44"], ["y", "d + 1", "d + 45"], ["d", "v + 13", "v + 58"], ["v", 20, "78"]], "target_var_name": "u", "target_value": 78, "value_dict": {"v": 20}, "is_reverse": true}} | 21,965 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = v + 13; q = k + 5; v = 20; s = q + 2; w = v + 8; z = w + 3; n = z + 3; k = n + 11; x = y + 1; y = d + 1; o = x + 10; u = c + 16; c = o + 17. Given that v = 20, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = o + 17 to u, which gives u = o + 33.\n2. Substitute o = x + 10 to u, which gives u = x + 43.\n3. Substitute x = y + 1 to u, which gives u = y + 44.\n4. Substitute y = d + 1 to u, which gives u = d + 45.\n5. Substitute d = v + 13 to u, which gives u = v + 58.\n6. Substitute v = 20 to u, which gives u = 78.\n\nThus, the final answer is u = \\boxed{78}.",
"index": 21965,
"question": "Suppose a collection of variables is related by the following definitions: d = v + 13; q = k + 5; v = 20; s = q + 2; w = v + 8; z = w + 3; n = z + 3; k = n + 11; x = y + 1; y = d + 1; o = x + 10; u = c + 16; c = o + 17. Given that v = 20, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"q": "o + 13", "g": "q + 14", "j": "g + 3", "e": "j + 16", "t": "e + 11", "b": "t + 1", "i": "o + 17", "s": "i + 15", "h": "s + 4", "a": "h + 6", "y": "a + 8", "r": "y + 9", "o": 3}, "premises": {"o": 3}, "target": "b"}, "answer": {"steps": [["t", "e + 11", "e + 12"], ["e", "j + 16", "j + 28"], ["j", "g + 3", "g + 31"], ["g", "q + 14", "q + 45"], ["q", "o + 13", "o + 58"], ["o", 3, "61"]], "target_var_name": "b", "target_value": 61, "value_dict": {"o": 3}, "is_reverse": true}} | 21,966 | 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 = 3; y = a + 8; i = o + 17; j = g + 3; h = s + 4; a = h + 6; s = i + 15; r = y + 9; e = j + 16; g = q + 14; t = e + 11; b = t + 1; q = o + 13. If o = 3, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = e + 11 to b, which gives b = e + 12.\n2. Substitute e = j + 16 to b, which gives b = j + 28.\n3. Substitute j = g + 3 to b, which gives b = g + 31.\n4. Substitute g = q + 14 to b, which gives b = q + 45.\n5. Substitute q = o + 13 to b, which gives b = o + 58.\n6. Substitute o = 3 to b, which gives b = 61.\n\nThus, the final answer is b = \\boxed{61}.",
"index": 21966,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = 3; y = a + 8; i = o + 17; j = g + 3; h = s + 4; a = h + 6; s = i + 15; r = y + 9; e = j + 16; g = q + 14; t = e + 11; b = t + 1; q = o + 13. If o = 3, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"v": "j + 16", "d": "v + 20", "u": "d + 14", "i": "u + 8", "s": "i + 19", "y": "s + 12", "p": "j + 6", "e": "p + 4", "g": "e + 6", "a": "g + 5", "x": "a + 2", "o": "x + 18", "j": 6}, "premises": {"j": 6}, "target": "y"}, "answer": {"steps": [["s", "i + 19", "i + 31"], ["i", "u + 8", "u + 39"], ["u", "d + 14", "d + 53"], ["d", "v + 20", "v + 73"], ["v", "j + 16", "j + 89"], ["j", 6, "95"]], "target_var_name": "y", "target_value": 95, "value_dict": {"j": 6}, "is_reverse": true}} | 21,967 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = i + 19; u = d + 14; i = u + 8; y = s + 12; p = j + 6; x = a + 2; d = v + 20; o = x + 18; v = j + 16; a = g + 5; j = 6; e = p + 4; g = e + 6. Given that j = 6, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = i + 19 to y, which gives y = i + 31.\n2. Substitute i = u + 8 to y, which gives y = u + 39.\n3. Substitute u = d + 14 to y, which gives y = d + 53.\n4. Substitute d = v + 20 to y, which gives y = v + 73.\n5. Substitute v = j + 16 to y, which gives y = j + 89.\n6. Substitute j = 6 to y, which gives y = 95.\n\nThus, the final answer is y = \\boxed{95}.",
"index": 21967,
"question": "Suppose a collection of variables is related by the following definitions: s = i + 19; u = d + 14; i = u + 8; y = s + 12; p = j + 6; x = a + 2; d = v + 20; o = x + 18; v = j + 16; a = g + 5; j = 6; e = p + 4; g = e + 6. Given that j = 6, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"e": "u + 10", "s": "e + 20", "l": "s + 2", "z": "l + 3", "r": "z + 11", "a": "r + 15", "t": "u + 6", "b": "t + 7", "k": "b + 5", "g": "k + 15", "c": "g + 11", "x": "c + 1", "u": 18}, "premises": {"u": 18}, "target": "a"}, "answer": {"steps": [["r", "z + 11", "z + 26"], ["z", "l + 3", "l + 29"], ["l", "s + 2", "s + 31"], ["s", "e + 20", "e + 51"], ["e", "u + 10", "u + 61"], ["u", 18, "79"]], "target_var_name": "a", "target_value": 79, "value_dict": {"u": 18}, "is_reverse": true}} | 21,968 | 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 = c + 1; z = l + 3; a = r + 15; t = u + 6; r = z + 11; b = t + 7; l = s + 2; c = g + 11; u = 18; g = k + 15; k = b + 5; s = e + 20; e = u + 10. If u = 18, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = z + 11 to a, which gives a = z + 26.\n2. Substitute z = l + 3 to a, which gives a = l + 29.\n3. Substitute l = s + 2 to a, which gives a = s + 31.\n4. Substitute s = e + 20 to a, which gives a = e + 51.\n5. Substitute e = u + 10 to a, which gives a = u + 61.\n6. Substitute u = 18 to a, which gives a = 79.\n\nThus, the final answer is a = \\boxed{79}.",
"index": 21968,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = c + 1; z = l + 3; a = r + 15; t = u + 6; r = z + 11; b = t + 7; l = s + 2; c = g + 11; u = 18; g = k + 15; k = b + 5; s = e + 20; e = u + 10. If u = 18, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"p": "o + 15", "f": "p + 12", "u": "f + 19", "e": "u + 7", "r": "e + 14", "h": "r + 15", "q": "o + 11", "a": "q + 3", "i": "a + 6", "n": "i + 16", "l": "n + 2", "y": "l + 5", "o": 18}, "premises": {"o": 18}, "target": "h"}, "answer": {"steps": [["r", "e + 14", "e + 29"], ["e", "u + 7", "u + 36"], ["u", "f + 19", "f + 55"], ["f", "p + 12", "p + 67"], ["p", "o + 15", "o + 82"], ["o", 18, "100"]], "target_var_name": "h", "target_value": 100, "value_dict": {"o": 18}, "is_reverse": true}} | 21,969 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = l + 5; o = 18; n = i + 16; h = r + 15; f = p + 12; q = o + 11; u = f + 19; l = n + 2; p = o + 15; r = e + 14; i = a + 6; a = q + 3; e = u + 7. Given that o = 18, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = e + 14 to h, which gives h = e + 29.\n2. Substitute e = u + 7 to h, which gives h = u + 36.\n3. Substitute u = f + 19 to h, which gives h = f + 55.\n4. Substitute f = p + 12 to h, which gives h = p + 67.\n5. Substitute p = o + 15 to h, which gives h = o + 82.\n6. Substitute o = 18 to h, which gives h = 100.\n\nThus, the final answer is h = \\boxed{100}.",
"index": 21969,
"question": "Suppose a collection of variables is related by the following definitions: y = l + 5; o = 18; n = i + 16; h = r + 15; f = p + 12; q = o + 11; u = f + 19; l = n + 2; p = o + 15; r = e + 14; i = a + 6; a = q + 3; e = u + 7. Given that o = 18, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"x": "q + 2", "w": "x + 18", "p": "w + 12", "e": "p + 15", "n": "e + 4", "g": "n + 12", "a": "q + 8", "c": "a + 15", "k": "c + 7", "i": "k + 18", "u": "i + 12", "s": "u + 4", "q": 18}, "premises": {"q": 18}, "target": "g"}, "answer": {"steps": [["n", "e + 4", "e + 16"], ["e", "p + 15", "p + 31"], ["p", "w + 12", "w + 43"], ["w", "x + 18", "x + 61"], ["x", "q + 2", "q + 63"], ["q", 18, "81"]], "target_var_name": "g", "target_value": 81, "value_dict": {"q": 18}, "is_reverse": true}} | 21,970 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = e + 4; x = q + 2; s = u + 4; u = i + 12; c = a + 15; w = x + 18; e = p + 15; k = c + 7; p = w + 12; g = n + 12; a = q + 8; i = k + 18; q = 18. If q = 18, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = e + 4 to g, which gives g = e + 16.\n2. Substitute e = p + 15 to g, which gives g = p + 31.\n3. Substitute p = w + 12 to g, which gives g = w + 43.\n4. Substitute w = x + 18 to g, which gives g = x + 61.\n5. Substitute x = q + 2 to g, which gives g = q + 63.\n6. Substitute q = 18 to g, which gives g = 81.\n\nThus, the final answer is g = \\boxed{81}.",
"index": 21970,
"question": "Consider a system of variables where each variable is defined as follows: n = e + 4; x = q + 2; s = u + 4; u = i + 12; c = a + 15; w = x + 18; e = p + 15; k = c + 7; p = w + 12; g = n + 12; a = q + 8; i = k + 18; q = 18. If q = 18, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"j": "c + 6", "t": "j + 17", "h": "t + 4", "x": "h + 20", "n": "x + 4", "u": "n + 17", "a": "c + 11", "p": "a + 9", "e": "p + 17", "m": "e + 11", "q": "m + 2", "v": "q + 8", "c": 5}, "premises": {"c": 5}, "target": "u"}, "answer": {"steps": [["n", "x + 4", "x + 21"], ["x", "h + 20", "h + 41"], ["h", "t + 4", "t + 45"], ["t", "j + 17", "j + 62"], ["j", "c + 6", "c + 68"], ["c", 5, "73"]], "target_var_name": "u", "target_value": 73, "value_dict": {"c": 5}, "is_reverse": true}} | 21,971 | 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 = t + 4; p = a + 9; c = 5; m = e + 11; q = m + 2; v = q + 8; a = c + 11; u = n + 17; x = h + 20; e = p + 17; n = x + 4; j = c + 6; t = j + 17. If c = 5, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = x + 4 to u, which gives u = x + 21.\n2. Substitute x = h + 20 to u, which gives u = h + 41.\n3. Substitute h = t + 4 to u, which gives u = t + 45.\n4. Substitute t = j + 17 to u, which gives u = j + 62.\n5. Substitute j = c + 6 to u, which gives u = c + 68.\n6. Substitute c = 5 to u, which gives u = 73.\n\nThus, the final answer is u = \\boxed{73}.",
"index": 21971,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = t + 4; p = a + 9; c = 5; m = e + 11; q = m + 2; v = q + 8; a = c + 11; u = n + 17; x = h + 20; e = p + 17; n = x + 4; j = c + 6; t = j + 17. If c = 5, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"w": "d + 15", "r": "w + 13", "h": "r + 10", "j": "h + 17", "k": "j + 1", "s": "k + 14", "t": "d + 14", "l": "t + 4", "b": "l + 19", "f": "b + 3", "c": "f + 19", "v": "c + 8", "d": 9}, "premises": {"d": 9}, "target": "s"}, "answer": {"steps": [["k", "j + 1", "j + 15"], ["j", "h + 17", "h + 32"], ["h", "r + 10", "r + 42"], ["r", "w + 13", "w + 55"], ["w", "d + 15", "d + 70"], ["d", 9, "79"]], "target_var_name": "s", "target_value": 79, "value_dict": {"d": 9}, "is_reverse": true}} | 21,972 | 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 = c + 8; f = b + 3; l = t + 4; j = h + 17; k = j + 1; c = f + 19; t = d + 14; r = w + 13; b = l + 19; s = k + 14; d = 9; h = r + 10; w = d + 15. If d = 9, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = j + 1 to s, which gives s = j + 15.\n2. Substitute j = h + 17 to s, which gives s = h + 32.\n3. Substitute h = r + 10 to s, which gives s = r + 42.\n4. Substitute r = w + 13 to s, which gives s = w + 55.\n5. Substitute w = d + 15 to s, which gives s = d + 70.\n6. Substitute d = 9 to s, which gives s = 79.\n\nThus, the final answer is s = \\boxed{79}.",
"index": 21972,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = c + 8; f = b + 3; l = t + 4; j = h + 17; k = j + 1; c = f + 19; t = d + 14; r = w + 13; b = l + 19; s = k + 14; d = 9; h = r + 10; w = d + 15. If d = 9, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"h": "e + 18", "r": "h + 16", "g": "r + 9", "x": "g + 4", "s": "x + 2", "m": "s + 5", "y": "e + 10", "i": "y + 20", "u": "i + 2", "q": "u + 12", "k": "q + 18", "a": "k + 5", "e": 4}, "premises": {"e": 4}, "target": "m"}, "answer": {"steps": [["s", "x + 2", "x + 7"], ["x", "g + 4", "g + 11"], ["g", "r + 9", "r + 20"], ["r", "h + 16", "h + 36"], ["h", "e + 18", "e + 54"], ["e", 4, "58"]], "target_var_name": "m", "target_value": 58, "value_dict": {"e": 4}, "is_reverse": true}} | 21,973 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = 4; g = r + 9; y = e + 10; i = y + 20; s = x + 2; a = k + 5; u = i + 2; m = s + 5; h = e + 18; q = u + 12; x = g + 4; r = h + 16; k = q + 18. Given that e = 4, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = x + 2 to m, which gives m = x + 7.\n2. Substitute x = g + 4 to m, which gives m = g + 11.\n3. Substitute g = r + 9 to m, which gives m = r + 20.\n4. Substitute r = h + 16 to m, which gives m = h + 36.\n5. Substitute h = e + 18 to m, which gives m = e + 54.\n6. Substitute e = 4 to m, which gives m = 58.\n\nThus, the final answer is m = \\boxed{58}.",
"index": 21973,
"question": "Suppose a collection of variables is related by the following definitions: e = 4; g = r + 9; y = e + 10; i = y + 20; s = x + 2; a = k + 5; u = i + 2; m = s + 5; h = e + 18; q = u + 12; x = g + 4; r = h + 16; k = q + 18. Given that e = 4, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"g": "r + 15", "d": "g + 13", "q": "d + 11", "c": "q + 8", "t": "c + 18", "i": "t + 13", "n": "r + 11", "f": "n + 10", "z": "f + 19", "x": "z + 9", "j": "x + 1", "a": "j + 2", "r": 14}, "premises": {"r": 14}, "target": "i"}, "answer": {"steps": [["t", "c + 18", "c + 31"], ["c", "q + 8", "q + 39"], ["q", "d + 11", "d + 50"], ["d", "g + 13", "g + 63"], ["g", "r + 15", "r + 78"], ["r", 14, "92"]], "target_var_name": "i", "target_value": 92, "value_dict": {"r": 14}, "is_reverse": true}} | 21,974 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = d + 11; d = g + 13; n = r + 11; t = c + 18; g = r + 15; r = 14; j = x + 1; x = z + 9; f = n + 10; c = q + 8; a = j + 2; i = t + 13; z = f + 19. If r = 14, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = c + 18 to i, which gives i = c + 31.\n2. Substitute c = q + 8 to i, which gives i = q + 39.\n3. Substitute q = d + 11 to i, which gives i = d + 50.\n4. Substitute d = g + 13 to i, which gives i = g + 63.\n5. Substitute g = r + 15 to i, which gives i = r + 78.\n6. Substitute r = 14 to i, which gives i = 92.\n\nThus, the final answer is i = \\boxed{92}.",
"index": 21974,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = d + 11; d = g + 13; n = r + 11; t = c + 18; g = r + 15; r = 14; j = x + 1; x = z + 9; f = n + 10; c = q + 8; a = j + 2; i = t + 13; z = f + 19. If r = 14, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"q": "k + 7", "e": "q + 5", "u": "e + 9", "s": "u + 3", "o": "s + 10", "z": "o + 19", "l": "k + 1", "y": "l + 2", "p": "y + 7", "x": "p + 11", "g": "x + 4", "w": "g + 4", "k": 16}, "premises": {"k": 16}, "target": "z"}, "answer": {"steps": [["o", "s + 10", "s + 29"], ["s", "u + 3", "u + 32"], ["u", "e + 9", "e + 41"], ["e", "q + 5", "q + 46"], ["q", "k + 7", "k + 53"], ["k", 16, "69"]], "target_var_name": "z", "target_value": 69, "value_dict": {"k": 16}, "is_reverse": true}} | 21,975 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = p + 11; u = e + 9; w = g + 4; y = l + 2; k = 16; o = s + 10; s = u + 3; l = k + 1; p = y + 7; q = k + 7; z = o + 19; g = x + 4; e = q + 5. If k = 16, 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 o = s + 10 to z, which gives z = s + 29.\n2. Substitute s = u + 3 to z, which gives z = u + 32.\n3. Substitute u = e + 9 to z, which gives z = e + 41.\n4. Substitute e = q + 5 to z, which gives z = q + 46.\n5. Substitute q = k + 7 to z, which gives z = k + 53.\n6. Substitute k = 16 to z, which gives z = 69.\n\nThus, the final answer is z = \\boxed{69}.",
"index": 21975,
"question": "Consider a system of variables where each variable is defined as follows: x = p + 11; u = e + 9; w = g + 4; y = l + 2; k = 16; o = s + 10; s = u + 3; l = k + 1; p = y + 7; q = k + 7; z = o + 19; g = x + 4; e = q + 5. If k = 16, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"d": "e + 20", "u": "d + 12", "c": "u + 18", "j": "c + 14", "g": "j + 5", "t": "g + 14", "k": "e + 16", "b": "k + 4", "p": "b + 12", "y": "p + 8", "n": "y + 9", "z": "n + 18", "e": 18}, "premises": {"e": 18}, "target": "t"}, "answer": {"steps": [["g", "j + 5", "j + 19"], ["j", "c + 14", "c + 33"], ["c", "u + 18", "u + 51"], ["u", "d + 12", "d + 63"], ["d", "e + 20", "e + 83"], ["e", 18, "101"]], "target_var_name": "t", "target_value": 101, "value_dict": {"e": 18}, "is_reverse": true}} | 21,976 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = p + 8; b = k + 4; c = u + 18; g = j + 5; p = b + 12; k = e + 16; j = c + 14; e = 18; u = d + 12; t = g + 14; n = y + 9; d = e + 20; z = n + 18. If e = 18, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = j + 5 to t, which gives t = j + 19.\n2. Substitute j = c + 14 to t, which gives t = c + 33.\n3. Substitute c = u + 18 to t, which gives t = u + 51.\n4. Substitute u = d + 12 to t, which gives t = d + 63.\n5. Substitute d = e + 20 to t, which gives t = e + 83.\n6. Substitute e = 18 to t, which gives t = 101.\n\nThus, the final answer is t = \\boxed{101}.",
"index": 21976,
"question": "Consider a system of variables where each variable is defined as follows: y = p + 8; b = k + 4; c = u + 18; g = j + 5; p = b + 12; k = e + 16; j = c + 14; e = 18; u = d + 12; t = g + 14; n = y + 9; d = e + 20; z = n + 18. If e = 18, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"t": "k + 6", "s": "t + 7", "o": "s + 9", "r": "o + 16", "p": "r + 19", "g": "p + 13", "b": "k + 15", "x": "b + 5", "m": "x + 9", "l": "m + 17", "q": "l + 6", "f": "q + 8", "k": 3}, "premises": {"k": 3}, "target": "g"}, "answer": {"steps": [["p", "r + 19", "r + 32"], ["r", "o + 16", "o + 48"], ["o", "s + 9", "s + 57"], ["s", "t + 7", "t + 64"], ["t", "k + 6", "k + 70"], ["k", 3, "73"]], "target_var_name": "g", "target_value": 73, "value_dict": {"k": 3}, "is_reverse": true}} | 21,977 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = x + 9; f = q + 8; k = 3; p = r + 19; q = l + 6; b = k + 15; o = s + 9; s = t + 7; r = o + 16; g = p + 13; l = m + 17; x = b + 5; t = k + 6. If k = 3, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = r + 19 to g, which gives g = r + 32.\n2. Substitute r = o + 16 to g, which gives g = o + 48.\n3. Substitute o = s + 9 to g, which gives g = s + 57.\n4. Substitute s = t + 7 to g, which gives g = t + 64.\n5. Substitute t = k + 6 to g, which gives g = k + 70.\n6. Substitute k = 3 to g, which gives g = 73.\n\nThus, the final answer is g = \\boxed{73}.",
"index": 21977,
"question": "Consider a system of variables where each variable is defined as follows: m = x + 9; f = q + 8; k = 3; p = r + 19; q = l + 6; b = k + 15; o = s + 9; s = t + 7; r = o + 16; g = p + 13; l = m + 17; x = b + 5; t = k + 6. If k = 3, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"u": "b + 14", "o": "u + 15", "n": "o + 13", "e": "n + 5", "z": "e + 7", "w": "z + 16", "r": "b + 3", "a": "r + 17", "v": "a + 11", "p": "v + 10", "m": "p + 16", "s": "m + 5", "b": 8}, "premises": {"b": 8}, "target": "w"}, "answer": {"steps": [["z", "e + 7", "e + 23"], ["e", "n + 5", "n + 28"], ["n", "o + 13", "o + 41"], ["o", "u + 15", "u + 56"], ["u", "b + 14", "b + 70"], ["b", 8, "78"]], "target_var_name": "w", "target_value": 78, "value_dict": {"b": 8}, "is_reverse": true}} | 21,978 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = b + 14; z = e + 7; m = p + 16; n = o + 13; a = r + 17; w = z + 16; b = 8; o = u + 15; r = b + 3; e = n + 5; s = m + 5; v = a + 11; p = v + 10. If b = 8, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = e + 7 to w, which gives w = e + 23.\n2. Substitute e = n + 5 to w, which gives w = n + 28.\n3. Substitute n = o + 13 to w, which gives w = o + 41.\n4. Substitute o = u + 15 to w, which gives w = u + 56.\n5. Substitute u = b + 14 to w, which gives w = b + 70.\n6. Substitute b = 8 to w, which gives w = 78.\n\nThus, the final answer is w = \\boxed{78}.",
"index": 21978,
"question": "Consider a system of variables where each variable is defined as follows: u = b + 14; z = e + 7; m = p + 16; n = o + 13; a = r + 17; w = z + 16; b = 8; o = u + 15; r = b + 3; e = n + 5; s = m + 5; v = a + 11; p = v + 10. If b = 8, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"g": "a + 5", "y": "g + 7", "c": "y + 17", "e": "c + 20", "r": "e + 6", "v": "r + 9", "o": "a + 5", "p": "o + 7", "b": "p + 17", "z": "b + 6", "s": "z + 12", "t": "s + 15", "a": 20}, "premises": {"a": 20}, "target": "v"}, "answer": {"steps": [["r", "e + 6", "e + 15"], ["e", "c + 20", "c + 35"], ["c", "y + 17", "y + 52"], ["y", "g + 7", "g + 59"], ["g", "a + 5", "a + 64"], ["a", 20, "84"]], "target_var_name": "v", "target_value": 84, "value_dict": {"a": 20}, "is_reverse": true}} | 21,979 | 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 = 20; p = o + 7; s = z + 12; z = b + 6; e = c + 20; t = s + 15; v = r + 9; b = p + 17; g = a + 5; y = g + 7; r = e + 6; o = a + 5; c = y + 17. If a = 20, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = e + 6 to v, which gives v = e + 15.\n2. Substitute e = c + 20 to v, which gives v = c + 35.\n3. Substitute c = y + 17 to v, which gives v = y + 52.\n4. Substitute y = g + 7 to v, which gives v = g + 59.\n5. Substitute g = a + 5 to v, which gives v = a + 64.\n6. Substitute a = 20 to v, which gives v = 84.\n\nThus, the final answer is v = \\boxed{84}.",
"index": 21979,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = 20; p = o + 7; s = z + 12; z = b + 6; e = c + 20; t = s + 15; v = r + 9; b = p + 17; g = a + 5; y = g + 7; r = e + 6; o = a + 5; c = y + 17. If a = 20, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"n": "l + 12", "f": "n + 8", "t": "f + 9", "o": "t + 11", "e": "o + 8", "i": "e + 17", "k": "l + 11", "b": "k + 16", "j": "b + 16", "m": "j + 12", "p": "m + 6", "w": "p + 16", "l": 4}, "premises": {"l": 4}, "target": "i"}, "answer": {"steps": [["e", "o + 8", "o + 25"], ["o", "t + 11", "t + 36"], ["t", "f + 9", "f + 45"], ["f", "n + 8", "n + 53"], ["n", "l + 12", "l + 65"], ["l", 4, "69"]], "target_var_name": "i", "target_value": 69, "value_dict": {"l": 4}, "is_reverse": true}} | 21,980 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = n + 8; o = t + 11; i = e + 17; b = k + 16; l = 4; e = o + 8; t = f + 9; j = b + 16; k = l + 11; m = j + 12; p = m + 6; w = p + 16; n = l + 12. Given that l = 4, find 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 e = o + 8 to i, which gives i = o + 25.\n2. Substitute o = t + 11 to i, which gives i = t + 36.\n3. Substitute t = f + 9 to i, which gives i = f + 45.\n4. Substitute f = n + 8 to i, which gives i = n + 53.\n5. Substitute n = l + 12 to i, which gives i = l + 65.\n6. Substitute l = 4 to i, which gives i = 69.\n\nThus, the final answer is i = \\boxed{69}.",
"index": 21980,
"question": "Suppose a collection of variables is related by the following definitions: f = n + 8; o = t + 11; i = e + 17; b = k + 16; l = 4; e = o + 8; t = f + 9; j = b + 16; k = l + 11; m = j + 12; p = m + 6; w = p + 16; n = l + 12. Given that l = 4, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"t": "x + 19", "n": "t + 7", "e": "n + 1", "z": "e + 4", "r": "z + 18", "y": "r + 18", "k": "x + 2", "d": "k + 18", "u": "d + 1", "g": "u + 4", "i": "g + 13", "h": "i + 19", "x": 13}, "premises": {"x": 13}, "target": "y"}, "answer": {"steps": [["r", "z + 18", "z + 36"], ["z", "e + 4", "e + 40"], ["e", "n + 1", "n + 41"], ["n", "t + 7", "t + 48"], ["t", "x + 19", "x + 67"], ["x", 13, "80"]], "target_var_name": "y", "target_value": 80, "value_dict": {"x": 13}, "is_reverse": true}} | 21,981 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = z + 18; t = x + 19; g = u + 4; e = n + 1; d = k + 18; i = g + 13; y = r + 18; x = 13; n = t + 7; k = x + 2; u = d + 1; h = i + 19; z = e + 4. Given that x = 13, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = z + 18 to y, which gives y = z + 36.\n2. Substitute z = e + 4 to y, which gives y = e + 40.\n3. Substitute e = n + 1 to y, which gives y = n + 41.\n4. Substitute n = t + 7 to y, which gives y = t + 48.\n5. Substitute t = x + 19 to y, which gives y = x + 67.\n6. Substitute x = 13 to y, which gives y = 80.\n\nThus, the final answer is y = \\boxed{80}.",
"index": 21981,
"question": "Suppose a collection of variables is related by the following definitions: r = z + 18; t = x + 19; g = u + 4; e = n + 1; d = k + 18; i = g + 13; y = r + 18; x = 13; n = t + 7; k = x + 2; u = d + 1; h = i + 19; z = e + 4. Given that x = 13, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"t": "m + 4", "l": "t + 11", "w": "l + 4", "j": "w + 2", "p": "j + 10", "k": "p + 16", "n": "m + 4", "c": "n + 5", "u": "c + 15", "x": "u + 4", "g": "x + 9", "s": "g + 6", "m": 1}, "premises": {"m": 1}, "target": "k"}, "answer": {"steps": [["p", "j + 10", "j + 26"], ["j", "w + 2", "w + 28"], ["w", "l + 4", "l + 32"], ["l", "t + 11", "t + 43"], ["t", "m + 4", "m + 47"], ["m", 1, "48"]], "target_var_name": "k", "target_value": 48, "value_dict": {"m": 1}, "is_reverse": true}} | 21,982 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = 1; s = g + 6; x = u + 4; t = m + 4; j = w + 2; u = c + 15; n = m + 4; g = x + 9; c = n + 5; l = t + 11; w = l + 4; p = j + 10; k = p + 16. If m = 1, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = j + 10 to k, which gives k = j + 26.\n2. Substitute j = w + 2 to k, which gives k = w + 28.\n3. Substitute w = l + 4 to k, which gives k = l + 32.\n4. Substitute l = t + 11 to k, which gives k = t + 43.\n5. Substitute t = m + 4 to k, which gives k = m + 47.\n6. Substitute m = 1 to k, which gives k = 48.\n\nThus, the final answer is k = \\boxed{48}.",
"index": 21982,
"question": "Consider a system of variables where each variable is defined as follows: m = 1; s = g + 6; x = u + 4; t = m + 4; j = w + 2; u = c + 15; n = m + 4; g = x + 9; c = n + 5; l = t + 11; w = l + 4; p = j + 10; k = p + 16. If m = 1, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"f": "z + 16", "s": "f + 4", "j": "s + 1", "e": "j + 14", "l": "e + 10", "q": "l + 5", "r": "z + 18", "v": "r + 3", "m": "v + 5", "i": "m + 13", "u": "i + 15", "d": "u + 17", "z": 11}, "premises": {"z": 11}, "target": "q"}, "answer": {"steps": [["l", "e + 10", "e + 15"], ["e", "j + 14", "j + 29"], ["j", "s + 1", "s + 30"], ["s", "f + 4", "f + 34"], ["f", "z + 16", "z + 50"], ["z", 11, "61"]], "target_var_name": "q", "target_value": 61, "value_dict": {"z": 11}, "is_reverse": true}} | 21,983 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = v + 5; z = 11; d = u + 17; r = z + 18; v = r + 3; l = e + 10; s = f + 4; u = i + 15; j = s + 1; e = j + 14; i = m + 13; f = z + 16; q = l + 5. If z = 11, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = e + 10 to q, which gives q = e + 15.\n2. Substitute e = j + 14 to q, which gives q = j + 29.\n3. Substitute j = s + 1 to q, which gives q = s + 30.\n4. Substitute s = f + 4 to q, which gives q = f + 34.\n5. Substitute f = z + 16 to q, which gives q = z + 50.\n6. Substitute z = 11 to q, which gives q = 61.\n\nThus, the final answer is q = \\boxed{61}.",
"index": 21983,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = v + 5; z = 11; d = u + 17; r = z + 18; v = r + 3; l = e + 10; s = f + 4; u = i + 15; j = s + 1; e = j + 14; i = m + 13; f = z + 16; q = l + 5. If z = 11, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"r": "m + 10", "k": "r + 17", "a": "k + 12", "i": "a + 9", "w": "i + 9", "d": "w + 13", "o": "m + 12", "f": "o + 13", "j": "f + 16", "p": "j + 8", "s": "p + 15", "n": "s + 16", "m": 2}, "premises": {"m": 2}, "target": "d"}, "answer": {"steps": [["w", "i + 9", "i + 22"], ["i", "a + 9", "a + 31"], ["a", "k + 12", "k + 43"], ["k", "r + 17", "r + 60"], ["r", "m + 10", "m + 70"], ["m", 2, "72"]], "target_var_name": "d", "target_value": 72, "value_dict": {"m": 2}, "is_reverse": true}} | 21,984 | 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 + 8; r = m + 10; s = p + 15; m = 2; j = f + 16; k = r + 17; f = o + 13; a = k + 12; o = m + 12; d = w + 13; n = s + 16; w = i + 9; i = a + 9. If m = 2, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = i + 9 to d, which gives d = i + 22.\n2. Substitute i = a + 9 to d, which gives d = a + 31.\n3. Substitute a = k + 12 to d, which gives d = k + 43.\n4. Substitute k = r + 17 to d, which gives d = r + 60.\n5. Substitute r = m + 10 to d, which gives d = m + 70.\n6. Substitute m = 2 to d, which gives d = 72.\n\nThus, the final answer is d = \\boxed{72}.",
"index": 21984,
"question": "Consider a system of variables where each variable is defined as follows: p = j + 8; r = m + 10; s = p + 15; m = 2; j = f + 16; k = r + 17; f = o + 13; a = k + 12; o = m + 12; d = w + 13; n = s + 16; w = i + 9; i = a + 9. If m = 2, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"c": "z + 14", "x": "c + 20", "d": "x + 20", "q": "d + 18", "k": "q + 12", "r": "k + 7", "s": "z + 10", "j": "s + 7", "t": "j + 13", "g": "t + 8", "y": "g + 8", "e": "y + 7", "z": 20}, "premises": {"z": 20}, "target": "r"}, "answer": {"steps": [["k", "q + 12", "q + 19"], ["q", "d + 18", "d + 37"], ["d", "x + 20", "x + 57"], ["x", "c + 20", "c + 77"], ["c", "z + 14", "z + 91"], ["z", 20, "111"]], "target_var_name": "r", "target_value": 111, "value_dict": {"z": 20}, "is_reverse": true}} | 21,985 | 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; g = t + 8; j = s + 7; x = c + 20; d = x + 20; e = y + 7; t = j + 13; r = k + 7; k = q + 12; c = z + 14; q = d + 18; s = z + 10; y = g + 8. If z = 20, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 111,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = q + 12 to r, which gives r = q + 19.\n2. Substitute q = d + 18 to r, which gives r = d + 37.\n3. Substitute d = x + 20 to r, which gives r = x + 57.\n4. Substitute x = c + 20 to r, which gives r = c + 77.\n5. Substitute c = z + 14 to r, which gives r = z + 91.\n6. Substitute z = 20 to r, which gives r = 111.\n\nThus, the final answer is r = \\boxed{111}.",
"index": 21985,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = 20; g = t + 8; j = s + 7; x = c + 20; d = x + 20; e = y + 7; t = j + 13; r = k + 7; k = q + 12; c = z + 14; q = d + 18; s = z + 10; y = g + 8. If z = 20, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"o": "w + 6", "u": "o + 8", "r": "u + 10", "s": "r + 15", "l": "s + 5", "m": "l + 13", "i": "w + 16", "a": "i + 5", "v": "a + 17", "b": "v + 11", "h": "b + 1", "k": "h + 3", "w": 17}, "premises": {"w": 17}, "target": "m"}, "answer": {"steps": [["l", "s + 5", "s + 18"], ["s", "r + 15", "r + 33"], ["r", "u + 10", "u + 43"], ["u", "o + 8", "o + 51"], ["o", "w + 6", "w + 57"], ["w", 17, "74"]], "target_var_name": "m", "target_value": 74, "value_dict": {"w": 17}, "is_reverse": true}} | 21,986 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = v + 11; i = w + 16; a = i + 5; k = h + 3; l = s + 5; s = r + 15; o = w + 6; u = o + 8; w = 17; r = u + 10; m = l + 13; h = b + 1; v = a + 17. If w = 17, 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 l = s + 5 to m, which gives m = s + 18.\n2. Substitute s = r + 15 to m, which gives m = r + 33.\n3. Substitute r = u + 10 to m, which gives m = u + 43.\n4. Substitute u = o + 8 to m, which gives m = o + 51.\n5. Substitute o = w + 6 to m, which gives m = w + 57.\n6. Substitute w = 17 to m, which gives m = 74.\n\nThus, the final answer is m = \\boxed{74}.",
"index": 21986,
"question": "Consider a system of variables where each variable is defined as follows: b = v + 11; i = w + 16; a = i + 5; k = h + 3; l = s + 5; s = r + 15; o = w + 6; u = o + 8; w = 17; r = u + 10; m = l + 13; h = b + 1; v = a + 17. If w = 17, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"c": "q + 4", "r": "c + 5", "j": "r + 9", "i": "j + 12", "g": "i + 17", "e": "g + 19", "n": "q + 5", "h": "n + 9", "f": "h + 3", "a": "f + 12", "b": "a + 6", "t": "b + 10", "q": 14}, "premises": {"q": 14}, "target": "e"}, "answer": {"steps": [["g", "i + 17", "i + 36"], ["i", "j + 12", "j + 48"], ["j", "r + 9", "r + 57"], ["r", "c + 5", "c + 62"], ["c", "q + 4", "q + 66"], ["q", 14, "80"]], "target_var_name": "e", "target_value": 80, "value_dict": {"q": 14}, "is_reverse": true}} | 21,987 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = f + 12; e = g + 19; j = r + 9; n = q + 5; q = 14; i = j + 12; f = h + 3; b = a + 6; g = i + 17; r = c + 5; h = n + 9; t = b + 10; c = q + 4. If q = 14, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = i + 17 to e, which gives e = i + 36.\n2. Substitute i = j + 12 to e, which gives e = j + 48.\n3. Substitute j = r + 9 to e, which gives e = r + 57.\n4. Substitute r = c + 5 to e, which gives e = c + 62.\n5. Substitute c = q + 4 to e, which gives e = q + 66.\n6. Substitute q = 14 to e, which gives e = 80.\n\nThus, the final answer is e = \\boxed{80}.",
"index": 21987,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = f + 12; e = g + 19; j = r + 9; n = q + 5; q = 14; i = j + 12; f = h + 3; b = a + 6; g = i + 17; r = c + 5; h = n + 9; t = b + 10; c = q + 4. If q = 14, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"w": "e + 10", "h": "w + 17", "o": "h + 17", "l": "o + 18", "s": "l + 7", "z": "s + 15", "u": "e + 13", "m": "u + 2", "i": "m + 1", "q": "i + 14", "p": "q + 1", "y": "p + 13", "e": 14}, "premises": {"e": 14}, "target": "z"}, "answer": {"steps": [["s", "l + 7", "l + 22"], ["l", "o + 18", "o + 40"], ["o", "h + 17", "h + 57"], ["h", "w + 17", "w + 74"], ["w", "e + 10", "e + 84"], ["e", 14, "98"]], "target_var_name": "z", "target_value": 98, "value_dict": {"e": 14}, "is_reverse": true}} | 21,988 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = u + 2; i = m + 1; q = i + 14; u = e + 13; z = s + 15; y = p + 13; w = e + 10; e = 14; s = l + 7; p = q + 1; h = w + 17; l = o + 18; o = h + 17. Given that e = 14, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = l + 7 to z, which gives z = l + 22.\n2. Substitute l = o + 18 to z, which gives z = o + 40.\n3. Substitute o = h + 17 to z, which gives z = h + 57.\n4. Substitute h = w + 17 to z, which gives z = w + 74.\n5. Substitute w = e + 10 to z, which gives z = e + 84.\n6. Substitute e = 14 to z, which gives z = 98.\n\nThus, the final answer is z = \\boxed{98}.",
"index": 21988,
"question": "Suppose a collection of variables is related by the following definitions: m = u + 2; i = m + 1; q = i + 14; u = e + 13; z = s + 15; y = p + 13; w = e + 10; e = 14; s = l + 7; p = q + 1; h = w + 17; l = o + 18; o = h + 17. Given that e = 14, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"e": "z + 11", "c": "e + 12", "y": "c + 11", "i": "y + 17", "v": "i + 7", "k": "v + 11", "t": "z + 10", "l": "t + 12", "s": "l + 11", "m": "s + 18", "f": "m + 3", "o": "f + 14", "z": 3}, "premises": {"z": 3}, "target": "k"}, "answer": {"steps": [["v", "i + 7", "i + 18"], ["i", "y + 17", "y + 35"], ["y", "c + 11", "c + 46"], ["c", "e + 12", "e + 58"], ["e", "z + 11", "z + 69"], ["z", 3, "72"]], "target_var_name": "k", "target_value": 72, "value_dict": {"z": 3}, "is_reverse": true}} | 21,989 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = f + 14; i = y + 17; y = c + 11; z = 3; m = s + 18; t = z + 10; s = l + 11; e = z + 11; v = i + 7; l = t + 12; k = v + 11; c = e + 12; f = m + 3. Given that z = 3, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = i + 7 to k, which gives k = i + 18.\n2. Substitute i = y + 17 to k, which gives k = y + 35.\n3. Substitute y = c + 11 to k, which gives k = c + 46.\n4. Substitute c = e + 12 to k, which gives k = e + 58.\n5. Substitute e = z + 11 to k, which gives k = z + 69.\n6. Substitute z = 3 to k, which gives k = 72.\n\nThus, the final answer is k = \\boxed{72}.",
"index": 21989,
"question": "Suppose a collection of variables is related by the following definitions: o = f + 14; i = y + 17; y = c + 11; z = 3; m = s + 18; t = z + 10; s = l + 11; e = z + 11; v = i + 7; l = t + 12; k = v + 11; c = e + 12; f = m + 3. Given that z = 3, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"v": "g + 10", "l": "v + 15", "e": "l + 17", "z": "e + 7", "w": "z + 11", "x": "w + 7", "k": "g + 8", "n": "k + 5", "c": "n + 12", "t": "c + 7", "q": "t + 19", "m": "q + 14", "g": 14}, "premises": {"g": 14}, "target": "x"}, "answer": {"steps": [["w", "z + 11", "z + 18"], ["z", "e + 7", "e + 25"], ["e", "l + 17", "l + 42"], ["l", "v + 15", "v + 57"], ["v", "g + 10", "g + 67"], ["g", 14, "81"]], "target_var_name": "x", "target_value": 81, "value_dict": {"g": 14}, "is_reverse": true}} | 21,990 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = l + 17; c = n + 12; z = e + 7; l = v + 15; q = t + 19; g = 14; x = w + 7; m = q + 14; w = z + 11; t = c + 7; k = g + 8; n = k + 5; v = g + 10. If g = 14, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = z + 11 to x, which gives x = z + 18.\n2. Substitute z = e + 7 to x, which gives x = e + 25.\n3. Substitute e = l + 17 to x, which gives x = l + 42.\n4. Substitute l = v + 15 to x, which gives x = v + 57.\n5. Substitute v = g + 10 to x, which gives x = g + 67.\n6. Substitute g = 14 to x, which gives x = 81.\n\nThus, the final answer is x = \\boxed{81}.",
"index": 21990,
"question": "Consider a system of variables where each variable is defined as follows: e = l + 17; c = n + 12; z = e + 7; l = v + 15; q = t + 19; g = 14; x = w + 7; m = q + 14; w = z + 11; t = c + 7; k = g + 8; n = k + 5; v = g + 10. If g = 14, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"u": "p + 2", "r": "u + 17", "z": "r + 10", "k": "z + 1", "s": "k + 13", "q": "s + 15", "y": "p + 4", "v": "y + 20", "a": "v + 15", "j": "a + 20", "x": "j + 1", "w": "x + 19", "p": 9}, "premises": {"p": 9}, "target": "q"}, "answer": {"steps": [["s", "k + 13", "k + 28"], ["k", "z + 1", "z + 29"], ["z", "r + 10", "r + 39"], ["r", "u + 17", "u + 56"], ["u", "p + 2", "p + 58"], ["p", 9, "67"]], "target_var_name": "q", "target_value": 67, "value_dict": {"p": 9}, "is_reverse": true}} | 21,991 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = p + 4; x = j + 1; k = z + 1; p = 9; z = r + 10; r = u + 17; v = y + 20; s = k + 13; a = v + 15; q = s + 15; w = x + 19; u = p + 2; j = a + 20. If p = 9, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = k + 13 to q, which gives q = k + 28.\n2. Substitute k = z + 1 to q, which gives q = z + 29.\n3. Substitute z = r + 10 to q, which gives q = r + 39.\n4. Substitute r = u + 17 to q, which gives q = u + 56.\n5. Substitute u = p + 2 to q, which gives q = p + 58.\n6. Substitute p = 9 to q, which gives q = 67.\n\nThus, the final answer is q = \\boxed{67}.",
"index": 21991,
"question": "Consider a system of variables where each variable is defined as follows: y = p + 4; x = j + 1; k = z + 1; p = 9; z = r + 10; r = u + 17; v = y + 20; s = k + 13; a = v + 15; q = s + 15; w = x + 19; u = p + 2; j = a + 20. If p = 9, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"l": "f + 8", "j": "l + 4", "x": "j + 7", "e": "x + 15", "g": "e + 11", "n": "g + 8", "v": "f + 20", "w": "v + 14", "o": "w + 2", "m": "o + 1", "u": "m + 19", "z": "u + 17", "f": 19}, "premises": {"f": 19}, "target": "n"}, "answer": {"steps": [["g", "e + 11", "e + 19"], ["e", "x + 15", "x + 34"], ["x", "j + 7", "j + 41"], ["j", "l + 4", "l + 45"], ["l", "f + 8", "f + 53"], ["f", 19, "72"]], "target_var_name": "n", "target_value": 72, "value_dict": {"f": 19}, "is_reverse": true}} | 21,992 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = g + 8; x = j + 7; j = l + 4; o = w + 2; u = m + 19; f = 19; v = f + 20; m = o + 1; l = f + 8; e = x + 15; w = v + 14; z = u + 17; g = e + 11. If f = 19, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = e + 11 to n, which gives n = e + 19.\n2. Substitute e = x + 15 to n, which gives n = x + 34.\n3. Substitute x = j + 7 to n, which gives n = j + 41.\n4. Substitute j = l + 4 to n, which gives n = l + 45.\n5. Substitute l = f + 8 to n, which gives n = f + 53.\n6. Substitute f = 19 to n, which gives n = 72.\n\nThus, the final answer is n = \\boxed{72}.",
"index": 21992,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = g + 8; x = j + 7; j = l + 4; o = w + 2; u = m + 19; f = 19; v = f + 20; m = o + 1; l = f + 8; e = x + 15; w = v + 14; z = u + 17; g = e + 11. If f = 19, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"j": "x + 20", "l": "j + 18", "f": "l + 20", "w": "f + 10", "c": "w + 18", "s": "c + 1", "q": "x + 6", "u": "q + 5", "o": "u + 13", "h": "o + 19", "z": "h + 18", "e": "z + 17", "x": 11}, "premises": {"x": 11}, "target": "s"}, "answer": {"steps": [["c", "w + 18", "w + 19"], ["w", "f + 10", "f + 29"], ["f", "l + 20", "l + 49"], ["l", "j + 18", "j + 67"], ["j", "x + 20", "x + 87"], ["x", 11, "98"]], "target_var_name": "s", "target_value": 98, "value_dict": {"x": 11}, "is_reverse": true}} | 21,993 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = x + 6; u = q + 5; x = 11; z = h + 18; f = l + 20; o = u + 13; w = f + 10; c = w + 18; s = c + 1; l = j + 18; e = z + 17; j = x + 20; h = o + 19. If x = 11, what is the resulting 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 c = w + 18 to s, which gives s = w + 19.\n2. Substitute w = f + 10 to s, which gives s = f + 29.\n3. Substitute f = l + 20 to s, which gives s = l + 49.\n4. Substitute l = j + 18 to s, which gives s = j + 67.\n5. Substitute j = x + 20 to s, which gives s = x + 87.\n6. Substitute x = 11 to s, which gives s = 98.\n\nThus, the final answer is s = \\boxed{98}.",
"index": 21993,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = x + 6; u = q + 5; x = 11; z = h + 18; f = l + 20; o = u + 13; w = f + 10; c = w + 18; s = c + 1; l = j + 18; e = z + 17; j = x + 20; h = o + 19. If x = 11, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"h": "o + 7", "m": "h + 14", "u": "m + 14", "n": "u + 12", "c": "n + 2", "a": "c + 2", "l": "o + 15", "x": "l + 8", "e": "x + 14", "s": "e + 14", "b": "s + 15", "i": "b + 16", "o": 15}, "premises": {"o": 15}, "target": "a"}, "answer": {"steps": [["c", "n + 2", "n + 4"], ["n", "u + 12", "u + 16"], ["u", "m + 14", "m + 30"], ["m", "h + 14", "h + 44"], ["h", "o + 7", "o + 51"], ["o", 15, "66"]], "target_var_name": "a", "target_value": 66, "value_dict": {"o": 15}, "is_reverse": true}} | 21,994 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = o + 15; n = u + 12; b = s + 15; h = o + 7; a = c + 2; u = m + 14; c = n + 2; s = e + 14; e = x + 14; m = h + 14; i = b + 16; x = l + 8; o = 15. If o = 15, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = n + 2 to a, which gives a = n + 4.\n2. Substitute n = u + 12 to a, which gives a = u + 16.\n3. Substitute u = m + 14 to a, which gives a = m + 30.\n4. Substitute m = h + 14 to a, which gives a = h + 44.\n5. Substitute h = o + 7 to a, which gives a = o + 51.\n6. Substitute o = 15 to a, which gives a = 66.\n\nThus, the final answer is a = \\boxed{66}.",
"index": 21994,
"question": "Consider a system of variables where each variable is defined as follows: l = o + 15; n = u + 12; b = s + 15; h = o + 7; a = c + 2; u = m + 14; c = n + 2; s = e + 14; e = x + 14; m = h + 14; i = b + 16; x = l + 8; o = 15. If o = 15, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"n": "f + 9", "a": "n + 3", "l": "a + 7", "i": "l + 10", "c": "i + 5", "w": "c + 8", "z": "f + 13", "y": "z + 14", "k": "y + 9", "d": "k + 20", "p": "d + 17", "q": "p + 5", "f": 2}, "premises": {"f": 2}, "target": "w"}, "answer": {"steps": [["c", "i + 5", "i + 13"], ["i", "l + 10", "l + 23"], ["l", "a + 7", "a + 30"], ["a", "n + 3", "n + 33"], ["n", "f + 9", "f + 42"], ["f", 2, "44"]], "target_var_name": "w", "target_value": 44, "value_dict": {"f": 2}, "is_reverse": true}} | 21,995 | 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 = k + 20; a = n + 3; y = z + 14; c = i + 5; i = l + 10; n = f + 9; z = f + 13; k = y + 9; q = p + 5; p = d + 17; w = c + 8; f = 2; l = a + 7. If f = 2, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 44,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = i + 5 to w, which gives w = i + 13.\n2. Substitute i = l + 10 to w, which gives w = l + 23.\n3. Substitute l = a + 7 to w, which gives w = a + 30.\n4. Substitute a = n + 3 to w, which gives w = n + 33.\n5. Substitute n = f + 9 to w, which gives w = f + 42.\n6. Substitute f = 2 to w, which gives w = 44.\n\nThus, the final answer is w = \\boxed{44}.",
"index": 21995,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = k + 20; a = n + 3; y = z + 14; c = i + 5; i = l + 10; n = f + 9; z = f + 13; k = y + 9; q = p + 5; p = d + 17; w = c + 8; f = 2; l = a + 7. If f = 2, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"g": "q + 3", "b": "g + 20", "w": "b + 19", "r": "w + 16", "d": "r + 5", "v": "d + 10", "n": "q + 15", "l": "n + 8", "x": "l + 10", "z": "x + 6", "u": "z + 18", "c": "u + 19", "q": 11}, "premises": {"q": 11}, "target": "v"}, "answer": {"steps": [["d", "r + 5", "r + 15"], ["r", "w + 16", "w + 31"], ["w", "b + 19", "b + 50"], ["b", "g + 20", "g + 70"], ["g", "q + 3", "q + 73"], ["q", 11, "84"]], "target_var_name": "v", "target_value": 84, "value_dict": {"q": 11}, "is_reverse": true}} | 21,996 | 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 = d + 10; n = q + 15; d = r + 5; b = g + 20; c = u + 19; z = x + 6; q = 11; g = q + 3; u = z + 18; w = b + 19; l = n + 8; x = l + 10; r = w + 16. If q = 11, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = r + 5 to v, which gives v = r + 15.\n2. Substitute r = w + 16 to v, which gives v = w + 31.\n3. Substitute w = b + 19 to v, which gives v = b + 50.\n4. Substitute b = g + 20 to v, which gives v = g + 70.\n5. Substitute g = q + 3 to v, which gives v = q + 73.\n6. Substitute q = 11 to v, which gives v = 84.\n\nThus, the final answer is v = \\boxed{84}.",
"index": 21996,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = d + 10; n = q + 15; d = r + 5; b = g + 20; c = u + 19; z = x + 6; q = 11; g = q + 3; u = z + 18; w = b + 19; l = n + 8; x = l + 10; r = w + 16. If q = 11, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"i": "u + 13", "n": "i + 1", "c": "n + 6", "d": "c + 8", "j": "d + 13", "r": "j + 11", "w": "u + 3", "b": "w + 5", "h": "b + 11", "k": "h + 4", "p": "k + 6", "t": "p + 15", "u": 13}, "premises": {"u": 13}, "target": "r"}, "answer": {"steps": [["j", "d + 13", "d + 24"], ["d", "c + 8", "c + 32"], ["c", "n + 6", "n + 38"], ["n", "i + 1", "i + 39"], ["i", "u + 13", "u + 52"], ["u", 13, "65"]], "target_var_name": "r", "target_value": 65, "value_dict": {"u": 13}, "is_reverse": true}} | 21,997 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = u + 3; r = j + 11; j = d + 13; n = i + 1; d = c + 8; t = p + 15; p = k + 6; k = h + 4; c = n + 6; b = w + 5; h = b + 11; i = u + 13; u = 13. Given that u = 13, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = d + 13 to r, which gives r = d + 24.\n2. Substitute d = c + 8 to r, which gives r = c + 32.\n3. Substitute c = n + 6 to r, which gives r = n + 38.\n4. Substitute n = i + 1 to r, which gives r = i + 39.\n5. Substitute i = u + 13 to r, which gives r = u + 52.\n6. Substitute u = 13 to r, which gives r = 65.\n\nThus, the final answer is r = \\boxed{65}.",
"index": 21997,
"question": "Suppose a collection of variables is related by the following definitions: w = u + 3; r = j + 11; j = d + 13; n = i + 1; d = c + 8; t = p + 15; p = k + 6; k = h + 4; c = n + 6; b = w + 5; h = b + 11; i = u + 13; u = 13. Given that u = 13, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"v": "m + 12", "r": "v + 3", "h": "r + 4", "q": "h + 16", "z": "q + 15", "f": "z + 19", "t": "m + 10", "o": "t + 13", "k": "o + 12", "a": "k + 11", "l": "a + 17", "w": "l + 14", "m": 20}, "premises": {"m": 20}, "target": "f"}, "answer": {"steps": [["z", "q + 15", "q + 34"], ["q", "h + 16", "h + 50"], ["h", "r + 4", "r + 54"], ["r", "v + 3", "v + 57"], ["v", "m + 12", "m + 69"], ["m", 20, "89"]], "target_var_name": "f", "target_value": 89, "value_dict": {"m": 20}, "is_reverse": true}} | 21,998 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = m + 10; a = k + 11; f = z + 19; w = l + 14; o = t + 13; v = m + 12; z = q + 15; h = r + 4; k = o + 12; m = 20; r = v + 3; q = h + 16; l = a + 17. Given that m = 20, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = q + 15 to f, which gives f = q + 34.\n2. Substitute q = h + 16 to f, which gives f = h + 50.\n3. Substitute h = r + 4 to f, which gives f = r + 54.\n4. Substitute r = v + 3 to f, which gives f = v + 57.\n5. Substitute v = m + 12 to f, which gives f = m + 69.\n6. Substitute m = 20 to f, which gives f = 89.\n\nThus, the final answer is f = \\boxed{89}.",
"index": 21998,
"question": "Suppose a collection of variables is related by the following definitions: t = m + 10; a = k + 11; f = z + 19; w = l + 14; o = t + 13; v = m + 12; z = q + 15; h = r + 4; k = o + 12; m = 20; r = v + 3; q = h + 16; l = a + 17. Given that m = 20, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"t": "m + 15", "o": "t + 7", "v": "o + 20", "h": "v + 15", "i": "h + 7", "l": "i + 20", "p": "m + 14", "n": "p + 10", "x": "n + 2", "g": "x + 1", "s": "g + 14", "j": "s + 20", "m": 12}, "premises": {"m": 12}, "target": "l"}, "answer": {"steps": [["i", "h + 7", "h + 27"], ["h", "v + 15", "v + 42"], ["v", "o + 20", "o + 62"], ["o", "t + 7", "t + 69"], ["t", "m + 15", "m + 84"], ["m", 12, "96"]], "target_var_name": "l", "target_value": 96, "value_dict": {"m": 12}, "is_reverse": true}} | 21,999 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = p + 10; p = m + 14; s = g + 14; l = i + 20; x = n + 2; i = h + 7; j = s + 20; t = m + 15; g = x + 1; h = v + 15; m = 12; v = o + 20; o = t + 7. Given that m = 12, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = h + 7 to l, which gives l = h + 27.\n2. Substitute h = v + 15 to l, which gives l = v + 42.\n3. Substitute v = o + 20 to l, which gives l = o + 62.\n4. Substitute o = t + 7 to l, which gives l = t + 69.\n5. Substitute t = m + 15 to l, which gives l = m + 84.\n6. Substitute m = 12 to l, which gives l = 96.\n\nThus, the final answer is l = \\boxed{96}.",
"index": 21999,
"question": "Suppose a collection of variables is related by the following definitions: n = p + 10; p = m + 14; s = g + 14; l = i + 20; x = n + 2; i = h + 7; j = s + 20; t = m + 15; g = x + 1; h = v + 15; m = 12; v = o + 20; o = t + 7. Given that m = 12, find the value of l.",
"split": "train"
} |
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