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": {"a": "h + 18", "l": "a + 7", "z": "l + 5", "t": "z + 11", "c": "t + 9", "k": "c + 18", "g": "h + 5", "d": "g + 6", "q": "d + 14", "j": "q + 4", "n": "j + 10", "y": "n + 9", "h": 2}, "premises": {"h": 2}, "target": "k"}, "answer": {"steps": [["c", "t + 9", "t + 27"], ["t", "z + 11", "z + 38"], ["z", "l + 5", "l + 43"], ["l", "a + 7", "a + 50"], ["a", "h + 18", "h + 68"], ["h", 2, "70"]], "target_var_name": "k", "target_value": 70, "value_dict": {"h": 2}, "is_reverse": true}} | 13,900 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = q + 4; l = a + 7; t = z + 11; a = h + 18; n = j + 10; h = 2; c = t + 9; q = d + 14; z = l + 5; d = g + 6; y = n + 9; k = c + 18; g = h + 5. If h = 2, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = t + 9 to k, which gives k = t + 27.\n2. Substitute t = z + 11 to k, which gives k = z + 38.\n3. Substitute z = l + 5 to k, which gives k = l + 43.\n4. Substitute l = a + 7 to k, which gives k = a + 50.\n5. Substitute a = h + 18 to k, which gives k = h + 68.\n6. Substitute h = 2 to k, which gives k = 70.\n\nThus, the final answer is k = \\boxed{70}.",
"index": 13900,
"question": "Consider a system of variables where each variable is defined as follows: j = q + 4; l = a + 7; t = z + 11; a = h + 18; n = j + 10; h = 2; c = t + 9; q = d + 14; z = l + 5; d = g + 6; y = n + 9; k = c + 18; g = h + 5. If h = 2, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"v": "k + 6", "l": "v + 5", "j": "l + 2", "o": "j + 11", "y": "o + 20", "z": "y + 2", "g": "k + 10", "e": "g + 17", "f": "e + 19", "c": "f + 9", "w": "c + 9", "h": "w + 7", "k": 16}, "premises": {"k": 16}, "target": "z"}, "answer": {"steps": [["y", "o + 20", "o + 22"], ["o", "j + 11", "j + 33"], ["j", "l + 2", "l + 35"], ["l", "v + 5", "v + 40"], ["v", "k + 6", "k + 46"], ["k", 16, "62"]], "target_var_name": "z", "target_value": 62, "value_dict": {"k": 16}, "is_reverse": true}} | 13,901 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = w + 7; e = g + 17; f = e + 19; j = l + 2; k = 16; v = k + 6; g = k + 10; o = j + 11; y = o + 20; w = c + 9; c = f + 9; l = v + 5; z = y + 2. If k = 16, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = o + 20 to z, which gives z = o + 22.\n2. Substitute o = j + 11 to z, which gives z = j + 33.\n3. Substitute j = l + 2 to z, which gives z = l + 35.\n4. Substitute l = v + 5 to z, which gives z = v + 40.\n5. Substitute v = k + 6 to z, which gives z = k + 46.\n6. Substitute k = 16 to z, which gives z = 62.\n\nThus, the final answer is z = \\boxed{62}.",
"index": 13901,
"question": "Consider a system of variables where each variable is defined as follows: h = w + 7; e = g + 17; f = e + 19; j = l + 2; k = 16; v = k + 6; g = k + 10; o = j + 11; y = o + 20; w = c + 9; c = f + 9; l = v + 5; z = y + 2. If k = 16, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"u": "z + 1", "e": "u + 3", "s": "e + 13", "r": "s + 18", "k": "r + 13", "m": "k + 8", "w": "z + 12", "h": "w + 16", "b": "h + 14", "q": "b + 13", "d": "q + 6", "y": "d + 14", "z": 20}, "premises": {"z": 20}, "target": "m"}, "answer": {"steps": [["k", "r + 13", "r + 21"], ["r", "s + 18", "s + 39"], ["s", "e + 13", "e + 52"], ["e", "u + 3", "u + 55"], ["u", "z + 1", "z + 56"], ["z", 20, "76"]], "target_var_name": "m", "target_value": 76, "value_dict": {"z": 20}, "is_reverse": true}} | 13,902 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = q + 6; z = 20; k = r + 13; u = z + 1; b = h + 14; e = u + 3; s = e + 13; h = w + 16; m = k + 8; y = d + 14; r = s + 18; w = z + 12; q = b + 13. Given that z = 20, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = r + 13 to m, which gives m = r + 21.\n2. Substitute r = s + 18 to m, which gives m = s + 39.\n3. Substitute s = e + 13 to m, which gives m = e + 52.\n4. Substitute e = u + 3 to m, which gives m = u + 55.\n5. Substitute u = z + 1 to m, which gives m = z + 56.\n6. Substitute z = 20 to m, which gives m = 76.\n\nThus, the final answer is m = \\boxed{76}.",
"index": 13902,
"question": "Suppose a collection of variables is related by the following definitions: d = q + 6; z = 20; k = r + 13; u = z + 1; b = h + 14; e = u + 3; s = e + 13; h = w + 16; m = k + 8; y = d + 14; r = s + 18; w = z + 12; q = b + 13. Given that z = 20, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"p": "f + 17", "i": "p + 20", "w": "i + 19", "m": "w + 18", "k": "m + 12", "s": "k + 1", "v": "f + 17", "r": "v + 17", "j": "r + 16", "e": "j + 20", "g": "e + 15", "q": "g + 4", "f": 17}, "premises": {"f": 17}, "target": "s"}, "answer": {"steps": [["k", "m + 12", "m + 13"], ["m", "w + 18", "w + 31"], ["w", "i + 19", "i + 50"], ["i", "p + 20", "p + 70"], ["p", "f + 17", "f + 87"], ["f", 17, "104"]], "target_var_name": "s", "target_value": 104, "value_dict": {"f": 17}, "is_reverse": true}} | 13,903 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = r + 16; r = v + 17; g = e + 15; q = g + 4; k = m + 12; s = k + 1; m = w + 18; f = 17; w = i + 19; p = f + 17; i = p + 20; v = f + 17; e = j + 20. Given that f = 17, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 104,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = m + 12 to s, which gives s = m + 13.\n2. Substitute m = w + 18 to s, which gives s = w + 31.\n3. Substitute w = i + 19 to s, which gives s = i + 50.\n4. Substitute i = p + 20 to s, which gives s = p + 70.\n5. Substitute p = f + 17 to s, which gives s = f + 87.\n6. Substitute f = 17 to s, which gives s = 104.\n\nThus, the final answer is s = \\boxed{104}.",
"index": 13903,
"question": "Suppose a collection of variables is related by the following definitions: j = r + 16; r = v + 17; g = e + 15; q = g + 4; k = m + 12; s = k + 1; m = w + 18; f = 17; w = i + 19; p = f + 17; i = p + 20; v = f + 17; e = j + 20. Given that f = 17, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"i": "l + 11", "n": "i + 6", "p": "n + 20", "j": "p + 4", "o": "j + 3", "w": "o + 6", "z": "l + 14", "r": "z + 5", "u": "r + 9", "s": "u + 11", "b": "s + 14", "k": "b + 18", "l": 10}, "premises": {"l": 10}, "target": "w"}, "answer": {"steps": [["o", "j + 3", "j + 9"], ["j", "p + 4", "p + 13"], ["p", "n + 20", "n + 33"], ["n", "i + 6", "i + 39"], ["i", "l + 11", "l + 50"], ["l", 10, "60"]], "target_var_name": "w", "target_value": 60, "value_dict": {"l": 10}, "is_reverse": true}} | 13,904 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = s + 14; o = j + 3; k = b + 18; p = n + 20; r = z + 5; j = p + 4; s = u + 11; l = 10; n = i + 6; u = r + 9; i = l + 11; w = o + 6; z = l + 14. If l = 10, what is the resulting value of w?",
"role": "user... | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = j + 3 to w, which gives w = j + 9.\n2. Substitute j = p + 4 to w, which gives w = p + 13.\n3. Substitute p = n + 20 to w, which gives w = n + 33.\n4. Substitute n = i + 6 to w, which gives w = i + 39.\n5. Substitute i = l + 11 to w, which gives w = l + 50.\n6. Substitute l = 10 to w, which gives w = 60.\n\nThus, the final answer is w = \\boxed{60}.",
"index": 13904,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = s + 14; o = j + 3; k = b + 18; p = n + 20; r = z + 5; j = p + 4; s = u + 11; l = 10; n = i + 6; u = r + 9; i = l + 11; w = o + 6; z = l + 14. If l = 10, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"e": "r + 12", "h": "e + 5", "s": "h + 14", "x": "s + 9", "t": "x + 9", "p": "t + 7", "j": "r + 14", "n": "j + 2", "y": "n + 16", "v": "y + 11", "c": "v + 14", "a": "c + 19", "r": 15}, "premises": {"r": 15}, "target": "p"}, "answer": {"steps": [["t", "x + 9", "x + 16"], ["x", "s + 9", "s + 25"], ["s", "h + 14", "h + 39"], ["h", "e + 5", "e + 44"], ["e", "r + 12", "r + 56"], ["r", 15, "71"]], "target_var_name": "p", "target_value": 71, "value_dict": {"r": 15}, "is_reverse": true}} | 13,905 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = c + 19; s = h + 14; p = t + 7; c = v + 14; j = r + 14; t = x + 9; r = 15; e = r + 12; v = y + 11; x = s + 9; n = j + 2; h = e + 5; y = n + 16. If r = 15, what is the resulting value of p?",
"role": "use... | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = x + 9 to p, which gives p = x + 16.\n2. Substitute x = s + 9 to p, which gives p = s + 25.\n3. Substitute s = h + 14 to p, which gives p = h + 39.\n4. Substitute h = e + 5 to p, which gives p = e + 44.\n5. Substitute e = r + 12 to p, which gives p = r + 56.\n6. Substitute r = 15 to p, which gives p = 71.\n\nThus, the final answer is p = \\boxed{71}.",
"index": 13905,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = c + 19; s = h + 14; p = t + 7; c = v + 14; j = r + 14; t = x + 9; r = 15; e = r + 12; v = y + 11; x = s + 9; n = j + 2; h = e + 5; y = n + 16. If r = 15, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"q": "i + 3", "t": "q + 12", "n": "t + 8", "o": "n + 8", "c": "o + 1", "s": "c + 5", "h": "i + 15", "a": "h + 10", "z": "a + 19", "r": "z + 7", "w": "r + 16", "k": "w + 14", "i": 12}, "premises": {"i": 12}, "target": "s"}, "answer": {"steps": [["c", "o + 1", "o + 6"], ["o", "n + 8", "n + 14"], ["n", "t + 8", "t + 22"], ["t", "q + 12", "q + 34"], ["q", "i + 3", "i + 37"], ["i", 12, "49"]], "target_var_name": "s", "target_value": 49, "value_dict": {"i": 12}, "is_reverse": true}} | 13,906 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = z + 7; s = c + 5; c = o + 1; o = n + 8; h = i + 15; w = r + 16; k = w + 14; z = a + 19; t = q + 12; n = t + 8; a = h + 10; q = i + 3; i = 12. Given that i = 12, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = o + 1 to s, which gives s = o + 6.\n2. Substitute o = n + 8 to s, which gives s = n + 14.\n3. Substitute n = t + 8 to s, which gives s = t + 22.\n4. Substitute t = q + 12 to s, which gives s = q + 34.\n5. Substitute q = i + 3 to s, which gives s = i + 37.\n6. Substitute i = 12 to s, which gives s = 49.\n\nThus, the final answer is s = \\boxed{49}.",
"index": 13906,
"question": "Suppose a collection of variables is related by the following definitions: r = z + 7; s = c + 5; c = o + 1; o = n + 8; h = i + 15; w = r + 16; k = w + 14; z = a + 19; t = q + 12; n = t + 8; a = h + 10; q = i + 3; i = 12. Given that i = 12, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"x": "d + 18", "a": "x + 9", "c": "a + 5", "u": "c + 8", "n": "u + 5", "t": "n + 6", "w": "d + 2", "i": "w + 2", "p": "i + 5", "j": "p + 16", "o": "j + 1", "f": "o + 13", "d": 19}, "premises": {"d": 19}, "target": "t"}, "answer": {"steps": [["n", "u + 5", "u + 11"], ["u", "c + 8", "c + 19"], ["c", "a + 5", "a + 24"], ["a", "x + 9", "x + 33"], ["x", "d + 18", "d + 51"], ["d", 19, "70"]], "target_var_name": "t", "target_value": 70, "value_dict": {"d": 19}, "is_reverse": true}} | 13,907 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = p + 16; x = d + 18; n = u + 5; t = n + 6; w = d + 2; o = j + 1; f = o + 13; a = x + 9; c = a + 5; d = 19; u = c + 8; i = w + 2; p = i + 5. Given that d = 19, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = u + 5 to t, which gives t = u + 11.\n2. Substitute u = c + 8 to t, which gives t = c + 19.\n3. Substitute c = a + 5 to t, which gives t = a + 24.\n4. Substitute a = x + 9 to t, which gives t = x + 33.\n5. Substitute x = d + 18 to t, which gives t = d + 51.\n6. Substitute d = 19 to t, which gives t = 70.\n\nThus, the final answer is t = \\boxed{70}.",
"index": 13907,
"question": "Suppose a collection of variables is related by the following definitions: j = p + 16; x = d + 18; n = u + 5; t = n + 6; w = d + 2; o = j + 1; f = o + 13; a = x + 9; c = a + 5; d = 19; u = c + 8; i = w + 2; p = i + 5. Given that d = 19, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"y": "u + 5", "z": "y + 4", "h": "z + 2", "a": "h + 16", "b": "a + 10", "m": "b + 10", "x": "u + 16", "e": "x + 17", "v": "e + 13", "d": "v + 10", "g": "d + 4", "c": "g + 18", "u": 19}, "premises": {"u": 19}, "target": "m"}, "answer": {"steps": [["b", "a + 10", "a + 20"], ["a", "h + 16", "h + 36"], ["h", "z + 2", "z + 38"], ["z", "y + 4", "y + 42"], ["y", "u + 5", "u + 47"], ["u", 19, "66"]], "target_var_name": "m", "target_value": 66, "value_dict": {"u": 19}, "is_reverse": true}} | 13,908 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = u + 5; z = y + 4; g = d + 4; m = b + 10; d = v + 10; c = g + 18; a = h + 16; h = z + 2; x = u + 16; e = x + 17; u = 19; v = e + 13; b = a + 10. If u = 19, what is the resulting value of m?",
"role": "us... | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = a + 10 to m, which gives m = a + 20.\n2. Substitute a = h + 16 to m, which gives m = h + 36.\n3. Substitute h = z + 2 to m, which gives m = z + 38.\n4. Substitute z = y + 4 to m, which gives m = y + 42.\n5. Substitute y = u + 5 to m, which gives m = u + 47.\n6. Substitute u = 19 to m, which gives m = 66.\n\nThus, the final answer is m = \\boxed{66}.",
"index": 13908,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = u + 5; z = y + 4; g = d + 4; m = b + 10; d = v + 10; c = g + 18; a = h + 16; h = z + 2; x = u + 16; e = x + 17; u = 19; v = e + 13; b = a + 10. If u = 19, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"j": "a + 6", "v": "j + 11", "l": "v + 11", "i": "l + 19", "u": "i + 18", "o": "u + 12", "m": "a + 5", "h": "m + 4", "x": "h + 17", "e": "x + 3", "n": "e + 16", "z": "n + 2", "a": 3}, "premises": {"a": 3}, "target": "o"}, "answer": {"steps": [["u", "i + 18", "i + 30"], ["i", "l + 19", "l + 49"], ["l", "v + 11", "v + 60"], ["v", "j + 11", "j + 71"], ["j", "a + 6", "a + 77"], ["a", 3, "80"]], "target_var_name": "o", "target_value": 80, "value_dict": {"a": 3}, "is_reverse": true}} | 13,909 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = x + 3; m = a + 5; v = j + 11; h = m + 4; a = 3; l = v + 11; x = h + 17; n = e + 16; u = i + 18; o = u + 12; j = a + 6; z = n + 2; i = l + 19. If a = 3, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = i + 18 to o, which gives o = i + 30.\n2. Substitute i = l + 19 to o, which gives o = l + 49.\n3. Substitute l = v + 11 to o, which gives o = v + 60.\n4. Substitute v = j + 11 to o, which gives o = j + 71.\n5. Substitute j = a + 6 to o, which gives o = a + 77.\n6. Substitute a = 3 to o, which gives o = 80.\n\nThus, the final answer is o = \\boxed{80}.",
"index": 13909,
"question": "Consider a system of variables where each variable is defined as follows: e = x + 3; m = a + 5; v = j + 11; h = m + 4; a = 3; l = v + 11; x = h + 17; n = e + 16; u = i + 18; o = u + 12; j = a + 6; z = n + 2; i = l + 19. If a = 3, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"h": "z + 2", "x": "h + 9", "a": "x + 10", "e": "a + 13", "r": "e + 20", "y": "r + 2", "o": "z + 1", "p": "o + 15", "b": "p + 5", "j": "b + 11", "v": "j + 12", "k": "v + 12", "z": 7}, "premises": {"z": 7}, "target": "y"}, "answer": {"steps": [["r", "e + 20", "e + 22"], ["e", "a + 13", "a + 35"], ["a", "x + 10", "x + 45"], ["x", "h + 9", "h + 54"], ["h", "z + 2", "z + 56"], ["z", 7, "63"]], "target_var_name": "y", "target_value": 63, "value_dict": {"z": 7}, "is_reverse": true}} | 13,910 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = h + 9; y = r + 2; a = x + 10; e = a + 13; v = j + 12; h = z + 2; p = o + 15; b = p + 5; z = 7; j = b + 11; r = e + 20; k = v + 12; o = z + 1. If z = 7, what is the resulting value of y?",
"role": "user"... | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = e + 20 to y, which gives y = e + 22.\n2. Substitute e = a + 13 to y, which gives y = a + 35.\n3. Substitute a = x + 10 to y, which gives y = x + 45.\n4. Substitute x = h + 9 to y, which gives y = h + 54.\n5. Substitute h = z + 2 to y, which gives y = z + 56.\n6. Substitute z = 7 to y, which gives y = 63.\n\nThus, the final answer is y = \\boxed{63}.",
"index": 13910,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = h + 9; y = r + 2; a = x + 10; e = a + 13; v = j + 12; h = z + 2; p = o + 15; b = p + 5; z = 7; j = b + 11; r = e + 20; k = v + 12; o = z + 1. If z = 7, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"g": "p + 11", "o": "g + 10", "v": "o + 19", "y": "v + 17", "r": "y + 7", "b": "r + 18", "l": "p + 3", "m": "l + 11", "q": "m + 2", "e": "q + 18", "f": "e + 8", "z": "f + 15", "p": 11}, "premises": {"p": 11}, "target": "b"}, "answer": {"steps": [["r", "y + 7", "y + 25"], ["y", "v + 17", "v + 42"], ["v", "o + 19", "o + 61"], ["o", "g + 10", "g + 71"], ["g", "p + 11", "p + 82"], ["p", 11, "93"]], "target_var_name": "b", "target_value": 93, "value_dict": {"p": 11}, "is_reverse": true}} | 13,911 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = e + 8; b = r + 18; q = m + 2; g = p + 11; v = o + 19; z = f + 15; m = l + 11; e = q + 18; p = 11; y = v + 17; o = g + 10; l = p + 3; r = y + 7. Given that p = 11, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = y + 7 to b, which gives b = y + 25.\n2. Substitute y = v + 17 to b, which gives b = v + 42.\n3. Substitute v = o + 19 to b, which gives b = o + 61.\n4. Substitute o = g + 10 to b, which gives b = g + 71.\n5. Substitute g = p + 11 to b, which gives b = p + 82.\n6. Substitute p = 11 to b, which gives b = 93.\n\nThus, the final answer is b = \\boxed{93}.",
"index": 13911,
"question": "Suppose a collection of variables is related by the following definitions: f = e + 8; b = r + 18; q = m + 2; g = p + 11; v = o + 19; z = f + 15; m = l + 11; e = q + 18; p = 11; y = v + 17; o = g + 10; l = p + 3; r = y + 7. Given that p = 11, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"z": "b + 3", "m": "z + 13", "o": "m + 10", "l": "o + 5", "q": "l + 13", "s": "q + 12", "w": "b + 12", "y": "w + 13", "c": "y + 11", "a": "c + 2", "n": "a + 1", "h": "n + 12", "b": 15}, "premises": {"b": 15}, "target": "s"}, "answer": {"steps": [["q", "l + 13", "l + 25"], ["l", "o + 5", "o + 30"], ["o", "m + 10", "m + 40"], ["m", "z + 13", "z + 53"], ["z", "b + 3", "b + 56"], ["b", 15, "71"]], "target_var_name": "s", "target_value": 71, "value_dict": {"b": 15}, "is_reverse": true}} | 13,912 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = l + 13; a = c + 2; c = y + 11; s = q + 12; l = o + 5; m = z + 13; z = b + 3; h = n + 12; y = w + 13; n = a + 1; b = 15; w = b + 12; o = m + 10. If b = 15, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = l + 13 to s, which gives s = l + 25.\n2. Substitute l = o + 5 to s, which gives s = o + 30.\n3. Substitute o = m + 10 to s, which gives s = m + 40.\n4. Substitute m = z + 13 to s, which gives s = z + 53.\n5. Substitute z = b + 3 to s, which gives s = b + 56.\n6. Substitute b = 15 to s, which gives s = 71.\n\nThus, the final answer is s = \\boxed{71}.",
"index": 13912,
"question": "Consider a system of variables where each variable is defined as follows: q = l + 13; a = c + 2; c = y + 11; s = q + 12; l = o + 5; m = z + 13; z = b + 3; h = n + 12; y = w + 13; n = a + 1; b = 15; w = b + 12; o = m + 10. If b = 15, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"q": "g + 9", "b": "q + 16", "d": "b + 13", "k": "d + 13", "u": "k + 16", "p": "u + 10", "w": "g + 10", "j": "w + 13", "i": "j + 1", "s": "i + 10", "a": "s + 8", "z": "a + 17", "g": 12}, "premises": {"g": 12}, "target": "p"}, "answer": {"steps": [["u", "k + 16", "k + 26"], ["k", "d + 13", "d + 39"], ["d", "b + 13", "b + 52"], ["b", "q + 16", "q + 68"], ["q", "g + 9", "g + 77"], ["g", 12, "89"]], "target_var_name": "p", "target_value": 89, "value_dict": {"g": 12}, "is_reverse": true}} | 13,913 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = q + 16; p = u + 10; d = b + 13; z = a + 17; j = w + 13; i = j + 1; k = d + 13; s = i + 10; a = s + 8; u = k + 16; g = 12; q = g + 9; w = g + 10. If g = 12, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = k + 16 to p, which gives p = k + 26.\n2. Substitute k = d + 13 to p, which gives p = d + 39.\n3. Substitute d = b + 13 to p, which gives p = b + 52.\n4. Substitute b = q + 16 to p, which gives p = q + 68.\n5. Substitute q = g + 9 to p, which gives p = g + 77.\n6. Substitute g = 12 to p, which gives p = 89.\n\nThus, the final answer is p = \\boxed{89}.",
"index": 13913,
"question": "Consider a system of variables where each variable is defined as follows: b = q + 16; p = u + 10; d = b + 13; z = a + 17; j = w + 13; i = j + 1; k = d + 13; s = i + 10; a = s + 8; u = k + 16; g = 12; q = g + 9; w = g + 10. If g = 12, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"b": "e + 12", "g": "b + 11", "z": "g + 9", "q": "z + 15", "n": "q + 4", "o": "n + 3", "m": "e + 9", "p": "m + 9", "x": "p + 13", "d": "x + 14", "a": "d + 18", "l": "a + 7", "e": 2}, "premises": {"e": 2}, "target": "o"}, "answer": {"steps": [["n", "q + 4", "q + 7"], ["q", "z + 15", "z + 22"], ["z", "g + 9", "g + 31"], ["g", "b + 11", "b + 42"], ["b", "e + 12", "e + 54"], ["e", 2, "56"]], "target_var_name": "o", "target_value": 56, "value_dict": {"e": 2}, "is_reverse": true}} | 13,914 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = x + 14; o = n + 3; q = z + 15; e = 2; b = e + 12; l = a + 7; m = e + 9; x = p + 13; g = b + 11; a = d + 18; z = g + 9; n = q + 4; p = m + 9. Given that e = 2, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = q + 4 to o, which gives o = q + 7.\n2. Substitute q = z + 15 to o, which gives o = z + 22.\n3. Substitute z = g + 9 to o, which gives o = g + 31.\n4. Substitute g = b + 11 to o, which gives o = b + 42.\n5. Substitute b = e + 12 to o, which gives o = e + 54.\n6. Substitute e = 2 to o, which gives o = 56.\n\nThus, the final answer is o = \\boxed{56}.",
"index": 13914,
"question": "Suppose a collection of variables is related by the following definitions: d = x + 14; o = n + 3; q = z + 15; e = 2; b = e + 12; l = a + 7; m = e + 9; x = p + 13; g = b + 11; a = d + 18; z = g + 9; n = q + 4; p = m + 9. Given that e = 2, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"x": "m + 8", "i": "x + 2", "e": "i + 2", "t": "e + 10", "w": "t + 2", "d": "w + 15", "h": "m + 15", "l": "h + 6", "z": "l + 8", "n": "z + 17", "k": "n + 1", "v": "k + 12", "m": 9}, "premises": {"m": 9}, "target": "d"}, "answer": {"steps": [["w", "t + 2", "t + 17"], ["t", "e + 10", "e + 27"], ["e", "i + 2", "i + 29"], ["i", "x + 2", "x + 31"], ["x", "m + 8", "m + 39"], ["m", 9, "48"]], "target_var_name": "d", "target_value": 48, "value_dict": {"m": 9}, "is_reverse": true}} | 13,915 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = m + 8; z = l + 8; e = i + 2; k = n + 1; d = w + 15; t = e + 10; i = x + 2; v = k + 12; w = t + 2; h = m + 15; m = 9; l = h + 6; n = z + 17. If m = 9, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = t + 2 to d, which gives d = t + 17.\n2. Substitute t = e + 10 to d, which gives d = e + 27.\n3. Substitute e = i + 2 to d, which gives d = i + 29.\n4. Substitute i = x + 2 to d, which gives d = x + 31.\n5. Substitute x = m + 8 to d, which gives d = m + 39.\n6. Substitute m = 9 to d, which gives d = 48.\n\nThus, the final answer is d = \\boxed{48}.",
"index": 13915,
"question": "Consider a system of variables where each variable is defined as follows: x = m + 8; z = l + 8; e = i + 2; k = n + 1; d = w + 15; t = e + 10; i = x + 2; v = k + 12; w = t + 2; h = m + 15; m = 9; l = h + 6; n = z + 17. If m = 9, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"u": "b + 3", "l": "u + 5", "o": "l + 16", "i": "o + 20", "m": "i + 3", "p": "m + 7", "y": "b + 7", "g": "y + 4", "s": "g + 19", "k": "s + 16", "r": "k + 16", "c": "r + 9", "b": 16}, "premises": {"b": 16}, "target": "p"}, "answer": {"steps": [["m", "i + 3", "i + 10"], ["i", "o + 20", "o + 30"], ["o", "l + 16", "l + 46"], ["l", "u + 5", "u + 51"], ["u", "b + 3", "b + 54"], ["b", 16, "70"]], "target_var_name": "p", "target_value": 70, "value_dict": {"b": 16}, "is_reverse": true}} | 13,916 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = g + 19; k = s + 16; r = k + 16; i = o + 20; g = y + 4; u = b + 3; m = i + 3; y = b + 7; l = u + 5; p = m + 7; b = 16; o = l + 16; c = r + 9. Given that b = 16, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = i + 3 to p, which gives p = i + 10.\n2. Substitute i = o + 20 to p, which gives p = o + 30.\n3. Substitute o = l + 16 to p, which gives p = l + 46.\n4. Substitute l = u + 5 to p, which gives p = u + 51.\n5. Substitute u = b + 3 to p, which gives p = b + 54.\n6. Substitute b = 16 to p, which gives p = 70.\n\nThus, the final answer is p = \\boxed{70}.",
"index": 13916,
"question": "Suppose a collection of variables is related by the following definitions: s = g + 19; k = s + 16; r = k + 16; i = o + 20; g = y + 4; u = b + 3; m = i + 3; y = b + 7; l = u + 5; p = m + 7; b = 16; o = l + 16; c = r + 9. Given that b = 16, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"n": "l + 14", "z": "n + 10", "k": "z + 15", "q": "k + 10", "v": "q + 11", "a": "v + 18", "s": "l + 14", "h": "s + 11", "w": "h + 7", "p": "w + 20", "g": "p + 1", "o": "g + 17", "l": 15}, "premises": {"l": 15}, "target": "a"}, "answer": {"steps": [["v", "q + 11", "q + 29"], ["q", "k + 10", "k + 39"], ["k", "z + 15", "z + 54"], ["z", "n + 10", "n + 64"], ["n", "l + 14", "l + 78"], ["l", 15, "93"]], "target_var_name": "a", "target_value": 93, "value_dict": {"l": 15}, "is_reverse": true}} | 13,917 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = k + 10; l = 15; a = v + 18; g = p + 1; o = g + 17; p = w + 20; n = l + 14; v = q + 11; s = l + 14; h = s + 11; k = z + 15; w = h + 7; z = n + 10. Given that l = 15, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = q + 11 to a, which gives a = q + 29.\n2. Substitute q = k + 10 to a, which gives a = k + 39.\n3. Substitute k = z + 15 to a, which gives a = z + 54.\n4. Substitute z = n + 10 to a, which gives a = n + 64.\n5. Substitute n = l + 14 to a, which gives a = l + 78.\n6. Substitute l = 15 to a, which gives a = 93.\n\nThus, the final answer is a = \\boxed{93}.",
"index": 13917,
"question": "Suppose a collection of variables is related by the following definitions: q = k + 10; l = 15; a = v + 18; g = p + 1; o = g + 17; p = w + 20; n = l + 14; v = q + 11; s = l + 14; h = s + 11; k = z + 15; w = h + 7; z = n + 10. Given that l = 15, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"x": "o + 12", "j": "x + 15", "d": "j + 5", "s": "d + 5", "m": "s + 13", "q": "m + 12", "w": "o + 1", "t": "w + 12", "z": "t + 15", "c": "z + 16", "b": "c + 11", "g": "b + 5", "o": 9}, "premises": {"o": 9}, "target": "q"}, "answer": {"steps": [["m", "s + 13", "s + 25"], ["s", "d + 5", "d + 30"], ["d", "j + 5", "j + 35"], ["j", "x + 15", "x + 50"], ["x", "o + 12", "o + 62"], ["o", 9, "71"]], "target_var_name": "q", "target_value": 71, "value_dict": {"o": 9}, "is_reverse": true}} | 13,918 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = j + 5; z = t + 15; m = s + 13; w = o + 1; b = c + 11; o = 9; t = w + 12; x = o + 12; g = b + 5; c = z + 16; j = x + 15; s = d + 5; q = m + 12. If o = 9, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = s + 13 to q, which gives q = s + 25.\n2. Substitute s = d + 5 to q, which gives q = d + 30.\n3. Substitute d = j + 5 to q, which gives q = j + 35.\n4. Substitute j = x + 15 to q, which gives q = x + 50.\n5. Substitute x = o + 12 to q, which gives q = o + 62.\n6. Substitute o = 9 to q, which gives q = 71.\n\nThus, the final answer is q = \\boxed{71}.",
"index": 13918,
"question": "Consider a system of variables where each variable is defined as follows: d = j + 5; z = t + 15; m = s + 13; w = o + 1; b = c + 11; o = 9; t = w + 12; x = o + 12; g = b + 5; c = z + 16; j = x + 15; s = d + 5; q = m + 12. If o = 9, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"g": "s + 3", "t": "g + 7", "x": "t + 9", "p": "x + 13", "q": "p + 14", "b": "q + 2", "h": "s + 9", "r": "h + 18", "w": "r + 12", "c": "w + 7", "j": "c + 11", "z": "j + 18", "s": 5}, "premises": {"s": 5}, "target": "b"}, "answer": {"steps": [["q", "p + 14", "p + 16"], ["p", "x + 13", "x + 29"], ["x", "t + 9", "t + 38"], ["t", "g + 7", "g + 45"], ["g", "s + 3", "s + 48"], ["s", 5, "53"]], "target_var_name": "b", "target_value": 53, "value_dict": {"s": 5}, "is_reverse": true}} | 13,919 | 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 = s + 9; q = p + 14; j = c + 11; r = h + 18; x = t + 9; c = w + 7; w = r + 12; g = s + 3; s = 5; t = g + 7; p = x + 13; z = j + 18; b = q + 2. If s = 5, what is the resulting value of b?",
"role": "user"
... | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = p + 14 to b, which gives b = p + 16.\n2. Substitute p = x + 13 to b, which gives b = x + 29.\n3. Substitute x = t + 9 to b, which gives b = t + 38.\n4. Substitute t = g + 7 to b, which gives b = g + 45.\n5. Substitute g = s + 3 to b, which gives b = s + 48.\n6. Substitute s = 5 to b, which gives b = 53.\n\nThus, the final answer is b = \\boxed{53}.",
"index": 13919,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = s + 9; q = p + 14; j = c + 11; r = h + 18; x = t + 9; c = w + 7; w = r + 12; g = s + 3; s = 5; t = g + 7; p = x + 13; z = j + 18; b = q + 2. If s = 5, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"m": "t + 17", "q": "m + 4", "p": "q + 5", "a": "p + 20", "o": "a + 8", "k": "o + 18", "f": "t + 2", "w": "f + 9", "s": "w + 11", "v": "s + 16", "r": "v + 1", "d": "r + 18", "t": 7}, "premises": {"t": 7}, "target": "k"}, "answer": {"steps": [["o", "a + 8", "a + 26"], ["a", "p + 20", "p + 46"], ["p", "q + 5", "q + 51"], ["q", "m + 4", "m + 55"], ["m", "t + 17", "t + 72"], ["t", 7, "79"]], "target_var_name": "k", "target_value": 79, "value_dict": {"t": 7}, "is_reverse": true}} | 13,920 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = m + 4; o = a + 8; a = p + 20; m = t + 17; f = t + 2; t = 7; w = f + 9; s = w + 11; v = s + 16; p = q + 5; k = o + 18; r = v + 1; d = r + 18. If t = 7, what is the resulting value of k?",
"role": "user"
... | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = a + 8 to k, which gives k = a + 26.\n2. Substitute a = p + 20 to k, which gives k = p + 46.\n3. Substitute p = q + 5 to k, which gives k = q + 51.\n4. Substitute q = m + 4 to k, which gives k = m + 55.\n5. Substitute m = t + 17 to k, which gives k = t + 72.\n6. Substitute t = 7 to k, which gives k = 79.\n\nThus, the final answer is k = \\boxed{79}.",
"index": 13920,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = m + 4; o = a + 8; a = p + 20; m = t + 17; f = t + 2; t = 7; w = f + 9; s = w + 11; v = s + 16; p = q + 5; k = o + 18; r = v + 1; d = r + 18. If t = 7, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"q": "h + 3", "y": "q + 3", "s": "y + 3", "a": "s + 2", "o": "a + 18", "t": "o + 18", "j": "h + 14", "i": "j + 2", "m": "i + 6", "u": "m + 17", "p": "u + 7", "f": "p + 3", "h": 12}, "premises": {"h": 12}, "target": "t"}, "answer": {"steps": [["o", "a + 18", "a + 36"], ["a", "s + 2", "s + 38"], ["s", "y + 3", "y + 41"], ["y", "q + 3", "q + 44"], ["q", "h + 3", "h + 47"], ["h", 12, "59"]], "target_var_name": "t", "target_value": 59, "value_dict": {"h": 12}, "is_reverse": true}} | 13,921 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = h + 14; p = u + 7; y = q + 3; a = s + 2; q = h + 3; m = i + 6; o = a + 18; u = m + 17; s = y + 3; f = p + 3; h = 12; i = j + 2; t = o + 18. If h = 12, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = a + 18 to t, which gives t = a + 36.\n2. Substitute a = s + 2 to t, which gives t = s + 38.\n3. Substitute s = y + 3 to t, which gives t = y + 41.\n4. Substitute y = q + 3 to t, which gives t = q + 44.\n5. Substitute q = h + 3 to t, which gives t = h + 47.\n6. Substitute h = 12 to t, which gives t = 59.\n\nThus, the final answer is t = \\boxed{59}.",
"index": 13921,
"question": "Consider a system of variables where each variable is defined as follows: j = h + 14; p = u + 7; y = q + 3; a = s + 2; q = h + 3; m = i + 6; o = a + 18; u = m + 17; s = y + 3; f = p + 3; h = 12; i = j + 2; t = o + 18. If h = 12, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"y": "l + 19", "c": "y + 8", "j": "c + 6", "k": "j + 13", "g": "k + 2", "v": "g + 19", "s": "l + 16", "n": "s + 17", "o": "n + 3", "m": "o + 19", "a": "m + 12", "w": "a + 1", "l": 8}, "premises": {"l": 8}, "target": "v"}, "answer": {"steps": [["g", "k + 2", "k + 21"], ["k", "j + 13", "j + 34"], ["j", "c + 6", "c + 40"], ["c", "y + 8", "y + 48"], ["y", "l + 19", "l + 67"], ["l", 8, "75"]], "target_var_name": "v", "target_value": 75, "value_dict": {"l": 8}, "is_reverse": true}} | 13,922 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = y + 8; v = g + 19; o = n + 3; w = a + 1; a = m + 12; y = l + 19; j = c + 6; l = 8; m = o + 19; n = s + 17; g = k + 2; k = j + 13; s = l + 16. If l = 8, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = k + 2 to v, which gives v = k + 21.\n2. Substitute k = j + 13 to v, which gives v = j + 34.\n3. Substitute j = c + 6 to v, which gives v = c + 40.\n4. Substitute c = y + 8 to v, which gives v = y + 48.\n5. Substitute y = l + 19 to v, which gives v = l + 67.\n6. Substitute l = 8 to v, which gives v = 75.\n\nThus, the final answer is v = \\boxed{75}.",
"index": 13922,
"question": "Consider a system of variables where each variable is defined as follows: c = y + 8; v = g + 19; o = n + 3; w = a + 1; a = m + 12; y = l + 19; j = c + 6; l = 8; m = o + 19; n = s + 17; g = k + 2; k = j + 13; s = l + 16. If l = 8, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"o": "j + 11", "p": "o + 3", "f": "p + 14", "b": "f + 17", "d": "b + 7", "m": "d + 20", "y": "j + 16", "z": "y + 16", "n": "z + 12", "g": "n + 8", "h": "g + 9", "v": "h + 11", "j": 8}, "premises": {"j": 8}, "target": "m"}, "answer": {"steps": [["d", "b + 7", "b + 27"], ["b", "f + 17", "f + 44"], ["f", "p + 14", "p + 58"], ["p", "o + 3", "o + 61"], ["o", "j + 11", "j + 72"], ["j", 8, "80"]], "target_var_name": "m", "target_value": 80, "value_dict": {"j": 8}, "is_reverse": true}} | 13,923 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = h + 11; g = n + 8; o = j + 11; d = b + 7; h = g + 9; z = y + 16; n = z + 12; f = p + 14; y = j + 16; b = f + 17; m = d + 20; j = 8; p = o + 3. If j = 8, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = b + 7 to m, which gives m = b + 27.\n2. Substitute b = f + 17 to m, which gives m = f + 44.\n3. Substitute f = p + 14 to m, which gives m = p + 58.\n4. Substitute p = o + 3 to m, which gives m = o + 61.\n5. Substitute o = j + 11 to m, which gives m = j + 72.\n6. Substitute j = 8 to m, which gives m = 80.\n\nThus, the final answer is m = \\boxed{80}.",
"index": 13923,
"question": "Consider a system of variables where each variable is defined as follows: v = h + 11; g = n + 8; o = j + 11; d = b + 7; h = g + 9; z = y + 16; n = z + 12; f = p + 14; y = j + 16; b = f + 17; m = d + 20; j = 8; p = o + 3. If j = 8, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"r": "p + 1", "j": "r + 19", "l": "j + 9", "z": "l + 9", "b": "z + 20", "c": "b + 14", "i": "p + 10", "y": "i + 3", "s": "y + 9", "g": "s + 6", "a": "g + 5", "o": "a + 10", "p": 1}, "premises": {"p": 1}, "target": "c"}, "answer": {"steps": [["b", "z + 20", "z + 34"], ["z", "l + 9", "l + 43"], ["l", "j + 9", "j + 52"], ["j", "r + 19", "r + 71"], ["r", "p + 1", "p + 72"], ["p", 1, "73"]], "target_var_name": "c", "target_value": 73, "value_dict": {"p": 1}, "is_reverse": true}} | 13,924 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = s + 6; i = p + 10; a = g + 5; p = 1; y = i + 3; l = j + 9; r = p + 1; c = b + 14; s = y + 9; j = r + 19; o = a + 10; z = l + 9; b = z + 20. If p = 1, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = z + 20 to c, which gives c = z + 34.\n2. Substitute z = l + 9 to c, which gives c = l + 43.\n3. Substitute l = j + 9 to c, which gives c = j + 52.\n4. Substitute j = r + 19 to c, which gives c = r + 71.\n5. Substitute r = p + 1 to c, which gives c = p + 72.\n6. Substitute p = 1 to c, which gives c = 73.\n\nThus, the final answer is c = \\boxed{73}.",
"index": 13924,
"question": "Consider a system of variables where each variable is defined as follows: g = s + 6; i = p + 10; a = g + 5; p = 1; y = i + 3; l = j + 9; r = p + 1; c = b + 14; s = y + 9; j = r + 19; o = a + 10; z = l + 9; b = z + 20. If p = 1, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"c": "p + 1", "r": "c + 16", "d": "r + 15", "q": "d + 18", "z": "q + 11", "t": "z + 20", "f": "p + 19", "k": "f + 3", "s": "k + 2", "n": "s + 13", "y": "n + 5", "u": "y + 16", "p": 20}, "premises": {"p": 20}, "target": "t"}, "answer": {"steps": [["z", "q + 11", "q + 31"], ["q", "d + 18", "d + 49"], ["d", "r + 15", "r + 64"], ["r", "c + 16", "c + 80"], ["c", "p + 1", "p + 81"], ["p", 20, "101"]], "target_var_name": "t", "target_value": 101, "value_dict": {"p": 20}, "is_reverse": true}} | 13,925 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = f + 3; s = k + 2; q = d + 18; z = q + 11; r = c + 16; d = r + 15; y = n + 5; f = p + 19; t = z + 20; u = y + 16; c = p + 1; p = 20; n = s + 13. If p = 20, 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 z = q + 11 to t, which gives t = q + 31.\n2. Substitute q = d + 18 to t, which gives t = d + 49.\n3. Substitute d = r + 15 to t, which gives t = r + 64.\n4. Substitute r = c + 16 to t, which gives t = c + 80.\n5. Substitute c = p + 1 to t, which gives t = p + 81.\n6. Substitute p = 20 to t, which gives t = 101.\n\nThus, the final answer is t = \\boxed{101}.",
"index": 13925,
"question": "Consider a system of variables where each variable is defined as follows: k = f + 3; s = k + 2; q = d + 18; z = q + 11; r = c + 16; d = r + 15; y = n + 5; f = p + 19; t = z + 20; u = y + 16; c = p + 1; p = 20; n = s + 13. If p = 20, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"j": "t + 5", "y": "j + 4", "v": "y + 8", "r": "v + 1", "c": "r + 13", "x": "c + 10", "o": "t + 3", "p": "o + 16", "a": "p + 4", "n": "a + 17", "z": "n + 15", "q": "z + 7", "t": 2}, "premises": {"t": 2}, "target": "x"}, "answer": {"steps": [["c", "r + 13", "r + 23"], ["r", "v + 1", "v + 24"], ["v", "y + 8", "y + 32"], ["y", "j + 4", "j + 36"], ["j", "t + 5", "t + 41"], ["t", 2, "43"]], "target_var_name": "x", "target_value": 43, "value_dict": {"t": 2}, "is_reverse": true}} | 13,926 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = r + 13; r = v + 1; t = 2; n = a + 17; j = t + 5; o = t + 3; y = j + 4; v = y + 8; z = n + 15; q = z + 7; a = p + 4; p = o + 16; x = c + 10. If t = 2, what is the resulting value of x?",
"role": "user"
... | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = r + 13 to x, which gives x = r + 23.\n2. Substitute r = v + 1 to x, which gives x = v + 24.\n3. Substitute v = y + 8 to x, which gives x = y + 32.\n4. Substitute y = j + 4 to x, which gives x = j + 36.\n5. Substitute j = t + 5 to x, which gives x = t + 41.\n6. Substitute t = 2 to x, which gives x = 43.\n\nThus, the final answer is x = \\boxed{43}.",
"index": 13926,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = r + 13; r = v + 1; t = 2; n = a + 17; j = t + 5; o = t + 3; y = j + 4; v = y + 8; z = n + 15; q = z + 7; a = p + 4; p = o + 16; x = c + 10. If t = 2, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"x": "s + 9", "n": "x + 18", "r": "n + 6", "w": "r + 1", "t": "w + 2", "k": "t + 15", "f": "s + 1", "e": "f + 1", "l": "e + 16", "z": "l + 2", "i": "z + 5", "h": "i + 4", "s": 10}, "premises": {"s": 10}, "target": "k"}, "answer": {"steps": [["t", "w + 2", "w + 17"], ["w", "r + 1", "r + 18"], ["r", "n + 6", "n + 24"], ["n", "x + 18", "x + 42"], ["x", "s + 9", "s + 51"], ["s", 10, "61"]], "target_var_name": "k", "target_value": 61, "value_dict": {"s": 10}, "is_reverse": true}} | 13,927 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = s + 9; s = 10; z = l + 2; r = n + 6; h = i + 4; f = s + 1; i = z + 5; l = e + 16; t = w + 2; n = x + 18; k = t + 15; e = f + 1; w = r + 1. If s = 10, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = w + 2 to k, which gives k = w + 17.\n2. Substitute w = r + 1 to k, which gives k = r + 18.\n3. Substitute r = n + 6 to k, which gives k = n + 24.\n4. Substitute n = x + 18 to k, which gives k = x + 42.\n5. Substitute x = s + 9 to k, which gives k = s + 51.\n6. Substitute s = 10 to k, which gives k = 61.\n\nThus, the final answer is k = \\boxed{61}.",
"index": 13927,
"question": "Consider a system of variables where each variable is defined as follows: x = s + 9; s = 10; z = l + 2; r = n + 6; h = i + 4; f = s + 1; i = z + 5; l = e + 16; t = w + 2; n = x + 18; k = t + 15; e = f + 1; w = r + 1. If s = 10, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"f": "s + 15", "l": "f + 12", "a": "l + 5", "o": "a + 8", "c": "o + 1", "z": "c + 7", "w": "s + 7", "p": "w + 10", "g": "p + 20", "i": "g + 16", "u": "i + 9", "e": "u + 8", "s": 8}, "premises": {"s": 8}, "target": "z"}, "answer": {"steps": [["c", "o + 1", "o + 8"], ["o", "a + 8", "a + 16"], ["a", "l + 5", "l + 21"], ["l", "f + 12", "f + 33"], ["f", "s + 15", "s + 48"], ["s", 8, "56"]], "target_var_name": "z", "target_value": 56, "value_dict": {"s": 8}, "is_reverse": true}} | 13,928 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = w + 10; s = 8; a = l + 5; u = i + 9; c = o + 1; f = s + 15; w = s + 7; i = g + 16; e = u + 8; z = c + 7; l = f + 12; o = a + 8; g = p + 20. Given that s = 8, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = o + 1 to z, which gives z = o + 8.\n2. Substitute o = a + 8 to z, which gives z = a + 16.\n3. Substitute a = l + 5 to z, which gives z = l + 21.\n4. Substitute l = f + 12 to z, which gives z = f + 33.\n5. Substitute f = s + 15 to z, which gives z = s + 48.\n6. Substitute s = 8 to z, which gives z = 56.\n\nThus, the final answer is z = \\boxed{56}.",
"index": 13928,
"question": "Suppose a collection of variables is related by the following definitions: p = w + 10; s = 8; a = l + 5; u = i + 9; c = o + 1; f = s + 15; w = s + 7; i = g + 16; e = u + 8; z = c + 7; l = f + 12; o = a + 8; g = p + 20. Given that s = 8, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"f": "t + 8", "c": "f + 6", "h": "c + 20", "k": "h + 14", "a": "k + 3", "w": "a + 2", "e": "t + 2", "s": "e + 14", "m": "s + 10", "n": "m + 1", "x": "n + 10", "v": "x + 7", "t": 16}, "premises": {"t": 16}, "target": "w"}, "answer": {"steps": [["a", "k + 3", "k + 5"], ["k", "h + 14", "h + 19"], ["h", "c + 20", "c + 39"], ["c", "f + 6", "f + 45"], ["f", "t + 8", "t + 53"], ["t", 16, "69"]], "target_var_name": "w", "target_value": 69, "value_dict": {"t": 16}, "is_reverse": true}} | 13,929 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = t + 2; f = t + 8; h = c + 20; w = a + 2; v = x + 7; t = 16; n = m + 1; m = s + 10; s = e + 14; a = k + 3; x = n + 10; k = h + 14; c = f + 6. If t = 16, what is the resulting value of w?",
"role": "user"... | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = k + 3 to w, which gives w = k + 5.\n2. Substitute k = h + 14 to w, which gives w = h + 19.\n3. Substitute h = c + 20 to w, which gives w = c + 39.\n4. Substitute c = f + 6 to w, which gives w = f + 45.\n5. Substitute f = t + 8 to w, which gives w = t + 53.\n6. Substitute t = 16 to w, which gives w = 69.\n\nThus, the final answer is w = \\boxed{69}.",
"index": 13929,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = t + 2; f = t + 8; h = c + 20; w = a + 2; v = x + 7; t = 16; n = m + 1; m = s + 10; s = e + 14; a = k + 3; x = n + 10; k = h + 14; c = f + 6. If t = 16, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"c": "x + 1", "l": "c + 13", "w": "l + 1", "s": "w + 13", "z": "s + 11", "g": "z + 15", "q": "x + 11", "y": "q + 8", "r": "y + 10", "t": "r + 2", "i": "t + 14", "j": "i + 18", "x": 17}, "premises": {"x": 17}, "target": "g"}, "answer": {"steps": [["z", "s + 11", "s + 26"], ["s", "w + 13", "w + 39"], ["w", "l + 1", "l + 40"], ["l", "c + 13", "c + 53"], ["c", "x + 1", "x + 54"], ["x", 17, "71"]], "target_var_name": "g", "target_value": 71, "value_dict": {"x": 17}, "is_reverse": true}} | 13,930 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = 17; i = t + 14; c = x + 1; g = z + 15; w = l + 1; q = x + 11; l = c + 13; y = q + 8; t = r + 2; r = y + 10; j = i + 18; z = s + 11; s = w + 13. If x = 17, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = s + 11 to g, which gives g = s + 26.\n2. Substitute s = w + 13 to g, which gives g = w + 39.\n3. Substitute w = l + 1 to g, which gives g = l + 40.\n4. Substitute l = c + 13 to g, which gives g = c + 53.\n5. Substitute c = x + 1 to g, which gives g = x + 54.\n6. Substitute x = 17 to g, which gives g = 71.\n\nThus, the final answer is g = \\boxed{71}.",
"index": 13930,
"question": "Consider a system of variables where each variable is defined as follows: x = 17; i = t + 14; c = x + 1; g = z + 15; w = l + 1; q = x + 11; l = c + 13; y = q + 8; t = r + 2; r = y + 10; j = i + 18; z = s + 11; s = w + 13. If x = 17, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"g": "d + 1", "r": "g + 6", "v": "r + 12", "j": "v + 10", "t": "j + 2", "k": "t + 19", "m": "d + 4", "s": "m + 9", "e": "s + 9", "x": "e + 14", "n": "x + 1", "i": "n + 1", "d": 19}, "premises": {"d": 19}, "target": "k"}, "answer": {"steps": [["t", "j + 2", "j + 21"], ["j", "v + 10", "v + 31"], ["v", "r + 12", "r + 43"], ["r", "g + 6", "g + 49"], ["g", "d + 1", "d + 50"], ["d", 19, "69"]], "target_var_name": "k", "target_value": 69, "value_dict": {"d": 19}, "is_reverse": true}} | 13,931 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = v + 10; i = n + 1; v = r + 12; e = s + 9; m = d + 4; r = g + 6; x = e + 14; t = j + 2; s = m + 9; n = x + 1; d = 19; g = d + 1; k = t + 19. If d = 19, what is the resulting value of k?",
"role": "user"
... | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = j + 2 to k, which gives k = j + 21.\n2. Substitute j = v + 10 to k, which gives k = v + 31.\n3. Substitute v = r + 12 to k, which gives k = r + 43.\n4. Substitute r = g + 6 to k, which gives k = g + 49.\n5. Substitute g = d + 1 to k, which gives k = d + 50.\n6. Substitute d = 19 to k, which gives k = 69.\n\nThus, the final answer is k = \\boxed{69}.",
"index": 13931,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = v + 10; i = n + 1; v = r + 12; e = s + 9; m = d + 4; r = g + 6; x = e + 14; t = j + 2; s = m + 9; n = x + 1; d = 19; g = d + 1; k = t + 19. If d = 19, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"d": "l + 2", "a": "d + 12", "n": "a + 18", "f": "n + 5", "y": "f + 8", "u": "y + 4", "k": "l + 17", "g": "k + 18", "w": "g + 9", "j": "w + 4", "s": "j + 18", "p": "s + 8", "l": 5}, "premises": {"l": 5}, "target": "u"}, "answer": {"steps": [["y", "f + 8", "f + 12"], ["f", "n + 5", "n + 17"], ["n", "a + 18", "a + 35"], ["a", "d + 12", "d + 47"], ["d", "l + 2", "l + 49"], ["l", 5, "54"]], "target_var_name": "u", "target_value": 54, "value_dict": {"l": 5}, "is_reverse": true}} | 13,932 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = s + 8; j = w + 4; d = l + 2; u = y + 4; s = j + 18; w = g + 9; k = l + 17; l = 5; n = a + 18; f = n + 5; g = k + 18; y = f + 8; a = d + 12. If l = 5, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = f + 8 to u, which gives u = f + 12.\n2. Substitute f = n + 5 to u, which gives u = n + 17.\n3. Substitute n = a + 18 to u, which gives u = a + 35.\n4. Substitute a = d + 12 to u, which gives u = d + 47.\n5. Substitute d = l + 2 to u, which gives u = l + 49.\n6. Substitute l = 5 to u, which gives u = 54.\n\nThus, the final answer is u = \\boxed{54}.",
"index": 13932,
"question": "Consider a system of variables where each variable is defined as follows: p = s + 8; j = w + 4; d = l + 2; u = y + 4; s = j + 18; w = g + 9; k = l + 17; l = 5; n = a + 18; f = n + 5; g = k + 18; y = f + 8; a = d + 12. If l = 5, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"e": "h + 7", "r": "e + 1", "q": "r + 20", "p": "q + 11", "x": "p + 5", "c": "x + 3", "m": "h + 19", "a": "m + 20", "i": "a + 9", "l": "i + 18", "v": "l + 4", "s": "v + 15", "h": 2}, "premises": {"h": 2}, "target": "c"}, "answer": {"steps": [["x", "p + 5", "p + 8"], ["p", "q + 11", "q + 19"], ["q", "r + 20", "r + 39"], ["r", "e + 1", "e + 40"], ["e", "h + 7", "h + 47"], ["h", 2, "49"]], "target_var_name": "c", "target_value": 49, "value_dict": {"h": 2}, "is_reverse": true}} | 13,933 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = a + 9; h = 2; p = q + 11; q = r + 20; r = e + 1; a = m + 20; v = l + 4; m = h + 19; s = v + 15; e = h + 7; c = x + 3; x = p + 5; l = i + 18. If h = 2, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = p + 5 to c, which gives c = p + 8.\n2. Substitute p = q + 11 to c, which gives c = q + 19.\n3. Substitute q = r + 20 to c, which gives c = r + 39.\n4. Substitute r = e + 1 to c, which gives c = e + 40.\n5. Substitute e = h + 7 to c, which gives c = h + 47.\n6. Substitute h = 2 to c, which gives c = 49.\n\nThus, the final answer is c = \\boxed{49}.",
"index": 13933,
"question": "Consider a system of variables where each variable is defined as follows: i = a + 9; h = 2; p = q + 11; q = r + 20; r = e + 1; a = m + 20; v = l + 4; m = h + 19; s = v + 15; e = h + 7; c = x + 3; x = p + 5; l = i + 18. If h = 2, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"c": "x + 10", "y": "c + 20", "r": "y + 2", "j": "r + 1", "v": "j + 13", "w": "v + 15", "i": "x + 2", "p": "i + 15", "u": "p + 10", "n": "u + 4", "f": "n + 1", "k": "f + 16", "x": 14}, "premises": {"x": 14}, "target": "w"}, "answer": {"steps": [["v", "j + 13", "j + 28"], ["j", "r + 1", "r + 29"], ["r", "y + 2", "y + 31"], ["y", "c + 20", "c + 51"], ["c", "x + 10", "x + 61"], ["x", 14, "75"]], "target_var_name": "w", "target_value": 75, "value_dict": {"x": 14}, "is_reverse": true}} | 13,934 | 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 = i + 15; c = x + 10; w = v + 15; j = r + 1; i = x + 2; f = n + 1; r = y + 2; v = j + 13; y = c + 20; k = f + 16; x = 14; n = u + 4; u = p + 10. If x = 14, what is the resulting value of w?",
"role": "use... | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = j + 13 to w, which gives w = j + 28.\n2. Substitute j = r + 1 to w, which gives w = r + 29.\n3. Substitute r = y + 2 to w, which gives w = y + 31.\n4. Substitute y = c + 20 to w, which gives w = c + 51.\n5. Substitute c = x + 10 to w, which gives w = x + 61.\n6. Substitute x = 14 to w, which gives w = 75.\n\nThus, the final answer is w = \\boxed{75}.",
"index": 13934,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = i + 15; c = x + 10; w = v + 15; j = r + 1; i = x + 2; f = n + 1; r = y + 2; v = j + 13; y = c + 20; k = f + 16; x = 14; n = u + 4; u = p + 10. If x = 14, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"d": "c + 17", "r": "d + 16", "u": "r + 15", "s": "u + 10", "g": "s + 18", "o": "g + 10", "h": "c + 5", "e": "h + 16", "b": "e + 5", "k": "b + 9", "q": "k + 16", "v": "q + 3", "c": 1}, "premises": {"c": 1}, "target": "o"}, "answer": {"steps": [["g", "s + 18", "s + 28"], ["s", "u + 10", "u + 38"], ["u", "r + 15", "r + 53"], ["r", "d + 16", "d + 69"], ["d", "c + 17", "c + 86"], ["c", 1, "87"]], "target_var_name": "o", "target_value": 87, "value_dict": {"c": 1}, "is_reverse": true}} | 13,935 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = s + 18; u = r + 15; q = k + 16; e = h + 16; c = 1; r = d + 16; k = b + 9; s = u + 10; v = q + 3; h = c + 5; b = e + 5; d = c + 17; o = g + 10. If c = 1, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = s + 18 to o, which gives o = s + 28.\n2. Substitute s = u + 10 to o, which gives o = u + 38.\n3. Substitute u = r + 15 to o, which gives o = r + 53.\n4. Substitute r = d + 16 to o, which gives o = d + 69.\n5. Substitute d = c + 17 to o, which gives o = c + 86.\n6. Substitute c = 1 to o, which gives o = 87.\n\nThus, the final answer is o = \\boxed{87}.",
"index": 13935,
"question": "Consider a system of variables where each variable is defined as follows: g = s + 18; u = r + 15; q = k + 16; e = h + 16; c = 1; r = d + 16; k = b + 9; s = u + 10; v = q + 3; h = c + 5; b = e + 5; d = c + 17; o = g + 10. If c = 1, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"l": "v + 8", "t": "l + 7", "a": "t + 11", "z": "a + 5", "c": "z + 8", "u": "c + 9", "g": "v + 18", "y": "g + 4", "p": "y + 11", "f": "p + 8", "k": "f + 1", "e": "k + 2", "v": 18}, "premises": {"v": 18}, "target": "u"}, "answer": {"steps": [["c", "z + 8", "z + 17"], ["z", "a + 5", "a + 22"], ["a", "t + 11", "t + 33"], ["t", "l + 7", "l + 40"], ["l", "v + 8", "v + 48"], ["v", 18, "66"]], "target_var_name": "u", "target_value": 66, "value_dict": {"v": 18}, "is_reverse": true}} | 13,936 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = p + 8; g = v + 18; p = y + 11; c = z + 8; z = a + 5; a = t + 11; t = l + 7; e = k + 2; v = 18; l = v + 8; y = g + 4; u = c + 9; k = f + 1. If v = 18, what is the resulting value of u?",
"role": "user"
... | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = z + 8 to u, which gives u = z + 17.\n2. Substitute z = a + 5 to u, which gives u = a + 22.\n3. Substitute a = t + 11 to u, which gives u = t + 33.\n4. Substitute t = l + 7 to u, which gives u = l + 40.\n5. Substitute l = v + 8 to u, which gives u = v + 48.\n6. Substitute v = 18 to u, which gives u = 66.\n\nThus, the final answer is u = \\boxed{66}.",
"index": 13936,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = p + 8; g = v + 18; p = y + 11; c = z + 8; z = a + 5; a = t + 11; t = l + 7; e = k + 2; v = 18; l = v + 8; y = g + 4; u = c + 9; k = f + 1. If v = 18, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"a": "h + 18", "k": "a + 17", "l": "k + 11", "q": "l + 11", "i": "q + 5", "w": "i + 15", "u": "h + 17", "p": "u + 8", "y": "p + 19", "r": "y + 6", "f": "r + 14", "o": "f + 8", "h": 3}, "premises": {"h": 3}, "target": "w"}, "answer": {"steps": [["i", "q + 5", "q + 20"], ["q", "l + 11", "l + 31"], ["l", "k + 11", "k + 42"], ["k", "a + 17", "a + 59"], ["a", "h + 18", "h + 77"], ["h", 3, "80"]], "target_var_name": "w", "target_value": 80, "value_dict": {"h": 3}, "is_reverse": true}} | 13,937 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = i + 15; o = f + 8; p = u + 8; i = q + 5; r = y + 6; k = a + 17; a = h + 18; q = l + 11; f = r + 14; l = k + 11; h = 3; u = h + 17; y = p + 19. If h = 3, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = q + 5 to w, which gives w = q + 20.\n2. Substitute q = l + 11 to w, which gives w = l + 31.\n3. Substitute l = k + 11 to w, which gives w = k + 42.\n4. Substitute k = a + 17 to w, which gives w = a + 59.\n5. Substitute a = h + 18 to w, which gives w = h + 77.\n6. Substitute h = 3 to w, which gives w = 80.\n\nThus, the final answer is w = \\boxed{80}.",
"index": 13937,
"question": "Consider a system of variables where each variable is defined as follows: w = i + 15; o = f + 8; p = u + 8; i = q + 5; r = y + 6; k = a + 17; a = h + 18; q = l + 11; f = r + 14; l = k + 11; h = 3; u = h + 17; y = p + 19. If h = 3, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"k": "f + 3", "u": "k + 10", "z": "u + 2", "v": "z + 5", "n": "v + 5", "d": "n + 6", "h": "f + 8", "m": "h + 19", "r": "m + 3", "q": "r + 11", "i": "q + 1", "a": "i + 13", "f": 7}, "premises": {"f": 7}, "target": "d"}, "answer": {"steps": [["n", "v + 5", "v + 11"], ["v", "z + 5", "z + 16"], ["z", "u + 2", "u + 18"], ["u", "k + 10", "k + 28"], ["k", "f + 3", "f + 31"], ["f", 7, "38"]], "target_var_name": "d", "target_value": 38, "value_dict": {"f": 7}, "is_reverse": true}} | 13,938 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = h + 19; d = n + 6; n = v + 5; k = f + 3; h = f + 8; a = i + 13; i = q + 1; q = r + 11; r = m + 3; v = z + 5; u = k + 10; z = u + 2; f = 7. If f = 7, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 38,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = v + 5 to d, which gives d = v + 11.\n2. Substitute v = z + 5 to d, which gives d = z + 16.\n3. Substitute z = u + 2 to d, which gives d = u + 18.\n4. Substitute u = k + 10 to d, which gives d = k + 28.\n5. Substitute k = f + 3 to d, which gives d = f + 31.\n6. Substitute f = 7 to d, which gives d = 38.\n\nThus, the final answer is d = \\boxed{38}.",
"index": 13938,
"question": "Consider a system of variables where each variable is defined as follows: m = h + 19; d = n + 6; n = v + 5; k = f + 3; h = f + 8; a = i + 13; i = q + 1; q = r + 11; r = m + 3; v = z + 5; u = k + 10; z = u + 2; f = 7. If f = 7, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"s": "g + 12", "b": "s + 3", "x": "b + 18", "t": "x + 15", "y": "t + 13", "c": "y + 5", "i": "g + 9", "r": "i + 4", "m": "r + 15", "d": "m + 17", "h": "d + 3", "l": "h + 10", "g": 11}, "premises": {"g": 11}, "target": "c"}, "answer": {"steps": [["y", "t + 13", "t + 18"], ["t", "x + 15", "x + 33"], ["x", "b + 18", "b + 51"], ["b", "s + 3", "s + 54"], ["s", "g + 12", "g + 66"], ["g", 11, "77"]], "target_var_name": "c", "target_value": 77, "value_dict": {"g": 11}, "is_reverse": true}} | 13,939 | 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 = 11; s = g + 12; b = s + 3; c = y + 5; i = g + 9; x = b + 18; t = x + 15; y = t + 13; r = i + 4; l = h + 10; d = m + 17; m = r + 15; h = d + 3. If g = 11, what is the resulting value of c?",
"role": "use... | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = t + 13 to c, which gives c = t + 18.\n2. Substitute t = x + 15 to c, which gives c = x + 33.\n3. Substitute x = b + 18 to c, which gives c = b + 51.\n4. Substitute b = s + 3 to c, which gives c = s + 54.\n5. Substitute s = g + 12 to c, which gives c = g + 66.\n6. Substitute g = 11 to c, which gives c = 77.\n\nThus, the final answer is c = \\boxed{77}.",
"index": 13939,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = 11; s = g + 12; b = s + 3; c = y + 5; i = g + 9; x = b + 18; t = x + 15; y = t + 13; r = i + 4; l = h + 10; d = m + 17; m = r + 15; h = d + 3. If g = 11, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"j": "w + 16", "y": "j + 11", "i": "y + 16", "q": "i + 20", "s": "q + 5", "g": "s + 8", "u": "w + 3", "z": "u + 10", "x": "z + 1", "o": "x + 3", "k": "o + 19", "n": "k + 8", "w": 20}, "premises": {"w": 20}, "target": "g"}, "answer": {"steps": [["s", "q + 5", "q + 13"], ["q", "i + 20", "i + 33"], ["i", "y + 16", "y + 49"], ["y", "j + 11", "j + 60"], ["j", "w + 16", "w + 76"], ["w", 20, "96"]], "target_var_name": "g", "target_value": 96, "value_dict": {"w": 20}, "is_reverse": true}} | 13,940 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = k + 8; j = w + 16; w = 20; g = s + 8; x = z + 1; o = x + 3; q = i + 20; z = u + 10; u = w + 3; i = y + 16; k = o + 19; y = j + 11; s = q + 5. Given that w = 20, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = q + 5 to g, which gives g = q + 13.\n2. Substitute q = i + 20 to g, which gives g = i + 33.\n3. Substitute i = y + 16 to g, which gives g = y + 49.\n4. Substitute y = j + 11 to g, which gives g = j + 60.\n5. Substitute j = w + 16 to g, which gives g = w + 76.\n6. Substitute w = 20 to g, which gives g = 96.\n\nThus, the final answer is g = \\boxed{96}.",
"index": 13940,
"question": "Suppose a collection of variables is related by the following definitions: n = k + 8; j = w + 16; w = 20; g = s + 8; x = z + 1; o = x + 3; q = i + 20; z = u + 10; u = w + 3; i = y + 16; k = o + 19; y = j + 11; s = q + 5. Given that w = 20, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"q": "a + 1", "m": "q + 1", "r": "m + 17", "i": "r + 14", "p": "i + 11", "h": "p + 4", "z": "a + 19", "c": "z + 7", "t": "c + 18", "b": "t + 10", "g": "b + 9", "o": "g + 7", "a": 16}, "premises": {"a": 16}, "target": "h"}, "answer": {"steps": [["p", "i + 11", "i + 15"], ["i", "r + 14", "r + 29"], ["r", "m + 17", "m + 46"], ["m", "q + 1", "q + 47"], ["q", "a + 1", "a + 48"], ["a", 16, "64"]], "target_var_name": "h", "target_value": 64, "value_dict": {"a": 16}, "is_reverse": true}} | 13,941 | 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 + 14; t = c + 18; m = q + 1; a = 16; r = m + 17; p = i + 11; z = a + 19; c = z + 7; q = a + 1; h = p + 4; b = t + 10; o = g + 7; g = b + 9. If a = 16, what is the resulting value of h?",
"role": "user... | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = i + 11 to h, which gives h = i + 15.\n2. Substitute i = r + 14 to h, which gives h = r + 29.\n3. Substitute r = m + 17 to h, which gives h = m + 46.\n4. Substitute m = q + 1 to h, which gives h = q + 47.\n5. Substitute q = a + 1 to h, which gives h = a + 48.\n6. Substitute a = 16 to h, which gives h = 64.\n\nThus, the final answer is h = \\boxed{64}.",
"index": 13941,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = r + 14; t = c + 18; m = q + 1; a = 16; r = m + 17; p = i + 11; z = a + 19; c = z + 7; q = a + 1; h = p + 4; b = t + 10; o = g + 7; g = b + 9. If a = 16, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"t": "b + 15", "v": "t + 2", "w": "v + 1", "h": "w + 20", "l": "h + 6", "y": "l + 17", "j": "b + 9", "z": "j + 10", "x": "z + 18", "m": "x + 3", "f": "m + 13", "i": "f + 7", "b": 17}, "premises": {"b": 17}, "target": "y"}, "answer": {"steps": [["l", "h + 6", "h + 23"], ["h", "w + 20", "w + 43"], ["w", "v + 1", "v + 44"], ["v", "t + 2", "t + 46"], ["t", "b + 15", "b + 61"], ["b", 17, "78"]], "target_var_name": "y", "target_value": 78, "value_dict": {"b": 17}, "is_reverse": true}} | 13,942 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = v + 1; m = x + 3; h = w + 20; l = h + 6; i = f + 7; f = m + 13; x = z + 18; y = l + 17; t = b + 15; v = t + 2; z = j + 10; j = b + 9; b = 17. If b = 17, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = h + 6 to y, which gives y = h + 23.\n2. Substitute h = w + 20 to y, which gives y = w + 43.\n3. Substitute w = v + 1 to y, which gives y = v + 44.\n4. Substitute v = t + 2 to y, which gives y = t + 46.\n5. Substitute t = b + 15 to y, which gives y = b + 61.\n6. Substitute b = 17 to y, which gives y = 78.\n\nThus, the final answer is y = \\boxed{78}.",
"index": 13942,
"question": "Consider a system of variables where each variable is defined as follows: w = v + 1; m = x + 3; h = w + 20; l = h + 6; i = f + 7; f = m + 13; x = z + 18; y = l + 17; t = b + 15; v = t + 2; z = j + 10; j = b + 9; b = 17. If b = 17, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"s": "z + 2", "d": "s + 17", "u": "d + 10", "f": "u + 3", "e": "f + 19", "k": "e + 10", "w": "z + 11", "h": "w + 9", "a": "h + 10", "m": "a + 13", "n": "m + 9", "q": "n + 16", "z": 4}, "premises": {"z": 4}, "target": "k"}, "answer": {"steps": [["e", "f + 19", "f + 29"], ["f", "u + 3", "u + 32"], ["u", "d + 10", "d + 42"], ["d", "s + 17", "s + 59"], ["s", "z + 2", "z + 61"], ["z", 4, "65"]], "target_var_name": "k", "target_value": 65, "value_dict": {"z": 4}, "is_reverse": true}} | 13,943 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = z + 2; z = 4; a = h + 10; w = z + 11; k = e + 10; f = u + 3; h = w + 9; e = f + 19; u = d + 10; d = s + 17; m = a + 13; n = m + 9; q = n + 16. If z = 4, what is the resulting value of k?",
"role": "user... | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = f + 19 to k, which gives k = f + 29.\n2. Substitute f = u + 3 to k, which gives k = u + 32.\n3. Substitute u = d + 10 to k, which gives k = d + 42.\n4. Substitute d = s + 17 to k, which gives k = s + 59.\n5. Substitute s = z + 2 to k, which gives k = z + 61.\n6. Substitute z = 4 to k, which gives k = 65.\n\nThus, the final answer is k = \\boxed{65}.",
"index": 13943,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = z + 2; z = 4; a = h + 10; w = z + 11; k = e + 10; f = u + 3; h = w + 9; e = f + 19; u = d + 10; d = s + 17; m = a + 13; n = m + 9; q = n + 16. If z = 4, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"y": "o + 1", "r": "y + 10", "m": "r + 18", "b": "m + 1", "c": "b + 2", "a": "c + 16", "s": "o + 10", "g": "s + 11", "j": "g + 14", "i": "j + 16", "x": "i + 10", "z": "x + 10", "o": 2}, "premises": {"o": 2}, "target": "a"}, "answer": {"steps": [["c", "b + 2", "b + 18"], ["b", "m + 1", "m + 19"], ["m", "r + 18", "r + 37"], ["r", "y + 10", "y + 47"], ["y", "o + 1", "o + 48"], ["o", 2, "50"]], "target_var_name": "a", "target_value": 50, "value_dict": {"o": 2}, "is_reverse": true}} | 13,944 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = c + 16; r = y + 10; s = o + 10; z = x + 10; c = b + 2; i = j + 16; y = o + 1; m = r + 18; o = 2; b = m + 1; x = i + 10; g = s + 11; j = g + 14. Given that o = 2, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = b + 2 to a, which gives a = b + 18.\n2. Substitute b = m + 1 to a, which gives a = m + 19.\n3. Substitute m = r + 18 to a, which gives a = r + 37.\n4. Substitute r = y + 10 to a, which gives a = y + 47.\n5. Substitute y = o + 1 to a, which gives a = o + 48.\n6. Substitute o = 2 to a, which gives a = 50.\n\nThus, the final answer is a = \\boxed{50}.",
"index": 13944,
"question": "Suppose a collection of variables is related by the following definitions: a = c + 16; r = y + 10; s = o + 10; z = x + 10; c = b + 2; i = j + 16; y = o + 1; m = r + 18; o = 2; b = m + 1; x = i + 10; g = s + 11; j = g + 14. Given that o = 2, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"x": "v + 4", "y": "x + 19", "u": "y + 20", "o": "u + 1", "d": "o + 5", "f": "d + 17", "j": "v + 15", "n": "j + 11", "i": "n + 5", "p": "i + 13", "l": "p + 1", "m": "l + 16", "v": 10}, "premises": {"v": 10}, "target": "f"}, "answer": {"steps": [["d", "o + 5", "o + 22"], ["o", "u + 1", "u + 23"], ["u", "y + 20", "y + 43"], ["y", "x + 19", "x + 62"], ["x", "v + 4", "v + 66"], ["v", 10, "76"]], "target_var_name": "f", "target_value": 76, "value_dict": {"v": 10}, "is_reverse": true}} | 13,945 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = p + 1; n = j + 11; u = y + 20; o = u + 1; v = 10; m = l + 16; x = v + 4; j = v + 15; p = i + 13; i = n + 5; d = o + 5; y = x + 19; f = d + 17. Given that v = 10, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = o + 5 to f, which gives f = o + 22.\n2. Substitute o = u + 1 to f, which gives f = u + 23.\n3. Substitute u = y + 20 to f, which gives f = y + 43.\n4. Substitute y = x + 19 to f, which gives f = x + 62.\n5. Substitute x = v + 4 to f, which gives f = v + 66.\n6. Substitute v = 10 to f, which gives f = 76.\n\nThus, the final answer is f = \\boxed{76}.",
"index": 13945,
"question": "Suppose a collection of variables is related by the following definitions: l = p + 1; n = j + 11; u = y + 20; o = u + 1; v = 10; m = l + 16; x = v + 4; j = v + 15; p = i + 13; i = n + 5; d = o + 5; y = x + 19; f = d + 17. Given that v = 10, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"h": "k + 10", "z": "h + 5", "e": "z + 8", "o": "e + 8", "q": "o + 2", "j": "q + 19", "v": "k + 10", "g": "v + 7", "a": "g + 2", "l": "a + 15", "y": "l + 8", "w": "y + 7", "k": 3}, "premises": {"k": 3}, "target": "j"}, "answer": {"steps": [["q", "o + 2", "o + 21"], ["o", "e + 8", "e + 29"], ["e", "z + 8", "z + 37"], ["z", "h + 5", "h + 42"], ["h", "k + 10", "k + 52"], ["k", 3, "55"]], "target_var_name": "j", "target_value": 55, "value_dict": {"k": 3}, "is_reverse": true}} | 13,946 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = l + 8; v = k + 10; e = z + 8; k = 3; w = y + 7; z = h + 5; j = q + 19; q = o + 2; g = v + 7; h = k + 10; o = e + 8; l = a + 15; a = g + 2. If k = 3, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = o + 2 to j, which gives j = o + 21.\n2. Substitute o = e + 8 to j, which gives j = e + 29.\n3. Substitute e = z + 8 to j, which gives j = z + 37.\n4. Substitute z = h + 5 to j, which gives j = h + 42.\n5. Substitute h = k + 10 to j, which gives j = k + 52.\n6. Substitute k = 3 to j, which gives j = 55.\n\nThus, the final answer is j = \\boxed{55}.",
"index": 13946,
"question": "Consider a system of variables where each variable is defined as follows: y = l + 8; v = k + 10; e = z + 8; k = 3; w = y + 7; z = h + 5; j = q + 19; q = o + 2; g = v + 7; h = k + 10; o = e + 8; l = a + 15; a = g + 2. If k = 3, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"p": "v + 7", "h": "p + 19", "e": "h + 7", "g": "e + 10", "w": "g + 6", "j": "w + 20", "a": "v + 6", "z": "a + 14", "i": "z + 13", "u": "i + 15", "n": "u + 7", "o": "n + 19", "v": 7}, "premises": {"v": 7}, "target": "j"}, "answer": {"steps": [["w", "g + 6", "g + 26"], ["g", "e + 10", "e + 36"], ["e", "h + 7", "h + 43"], ["h", "p + 19", "p + 62"], ["p", "v + 7", "v + 69"], ["v", 7, "76"]], "target_var_name": "j", "target_value": 76, "value_dict": {"v": 7}, "is_reverse": true}} | 13,947 | 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 = w + 20; h = p + 19; v = 7; g = e + 10; o = n + 19; u = i + 15; p = v + 7; w = g + 6; a = v + 6; e = h + 7; n = u + 7; i = z + 13; z = a + 14. If v = 7, what is the resulting value of j?",
"role": "user"... | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = g + 6 to j, which gives j = g + 26.\n2. Substitute g = e + 10 to j, which gives j = e + 36.\n3. Substitute e = h + 7 to j, which gives j = h + 43.\n4. Substitute h = p + 19 to j, which gives j = p + 62.\n5. Substitute p = v + 7 to j, which gives j = v + 69.\n6. Substitute v = 7 to j, which gives j = 76.\n\nThus, the final answer is j = \\boxed{76}.",
"index": 13947,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = w + 20; h = p + 19; v = 7; g = e + 10; o = n + 19; u = i + 15; p = v + 7; w = g + 6; a = v + 6; e = h + 7; n = u + 7; i = z + 13; z = a + 14. If v = 7, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"r": "c + 17", "t": "r + 18", "s": "t + 13", "l": "s + 5", "a": "l + 12", "e": "a + 10", "k": "c + 11", "q": "k + 20", "j": "q + 14", "d": "j + 2", "i": "d + 8", "u": "i + 18", "c": 15}, "premises": {"c": 15}, "target": "e"}, "answer": {"steps": [["a", "l + 12", "l + 22"], ["l", "s + 5", "s + 27"], ["s", "t + 13", "t + 40"], ["t", "r + 18", "r + 58"], ["r", "c + 17", "c + 75"], ["c", 15, "90"]], "target_var_name": "e", "target_value": 90, "value_dict": {"c": 15}, "is_reverse": true}} | 13,948 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = c + 11; c = 15; t = r + 18; e = a + 10; q = k + 20; a = l + 12; s = t + 13; r = c + 17; l = s + 5; j = q + 14; d = j + 2; u = i + 18; i = d + 8. If c = 15, what is the resulting value of e?",
"role": "u... | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = l + 12 to e, which gives e = l + 22.\n2. Substitute l = s + 5 to e, which gives e = s + 27.\n3. Substitute s = t + 13 to e, which gives e = t + 40.\n4. Substitute t = r + 18 to e, which gives e = r + 58.\n5. Substitute r = c + 17 to e, which gives e = c + 75.\n6. Substitute c = 15 to e, which gives e = 90.\n\nThus, the final answer is e = \\boxed{90}.",
"index": 13948,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = c + 11; c = 15; t = r + 18; e = a + 10; q = k + 20; a = l + 12; s = t + 13; r = c + 17; l = s + 5; j = q + 14; d = j + 2; u = i + 18; i = d + 8. If c = 15, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"m": "b + 16", "p": "m + 1", "s": "p + 5", "f": "s + 3", "y": "f + 4", "w": "y + 15", "l": "b + 6", "d": "l + 11", "u": "d + 5", "h": "u + 14", "i": "h + 4", "c": "i + 3", "b": 2}, "premises": {"b": 2}, "target": "w"}, "answer": {"steps": [["y", "f + 4", "f + 19"], ["f", "s + 3", "s + 22"], ["s", "p + 5", "p + 27"], ["p", "m + 1", "m + 28"], ["m", "b + 16", "b + 44"], ["b", 2, "46"]], "target_var_name": "w", "target_value": 46, "value_dict": {"b": 2}, "is_reverse": true}} | 13,949 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = i + 3; f = s + 3; s = p + 5; m = b + 16; d = l + 11; y = f + 4; b = 2; p = m + 1; h = u + 14; l = b + 6; i = h + 4; u = d + 5; w = y + 15. If b = 2, what is the resulting value of w?",
"role": "user"
... | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = f + 4 to w, which gives w = f + 19.\n2. Substitute f = s + 3 to w, which gives w = s + 22.\n3. Substitute s = p + 5 to w, which gives w = p + 27.\n4. Substitute p = m + 1 to w, which gives w = m + 28.\n5. Substitute m = b + 16 to w, which gives w = b + 44.\n6. Substitute b = 2 to w, which gives w = 46.\n\nThus, the final answer is w = \\boxed{46}.",
"index": 13949,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = i + 3; f = s + 3; s = p + 5; m = b + 16; d = l + 11; y = f + 4; b = 2; p = m + 1; h = u + 14; l = b + 6; i = h + 4; u = d + 5; w = y + 15. If b = 2, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"x": "i + 8", "n": "x + 16", "y": "n + 13", "c": "y + 6", "s": "c + 2", "p": "s + 7", "e": "i + 9", "d": "e + 14", "o": "d + 2", "r": "o + 15", "k": "r + 18", "w": "k + 2", "i": 4}, "premises": {"i": 4}, "target": "p"}, "answer": {"steps": [["s", "c + 2", "c + 9"], ["c", "y + 6", "y + 15"], ["y", "n + 13", "n + 28"], ["n", "x + 16", "x + 44"], ["x", "i + 8", "i + 52"], ["i", 4, "56"]], "target_var_name": "p", "target_value": 56, "value_dict": {"i": 4}, "is_reverse": true}} | 13,950 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = x + 16; x = i + 8; e = i + 9; c = y + 6; i = 4; s = c + 2; o = d + 2; d = e + 14; r = o + 15; y = n + 13; p = s + 7; k = r + 18; w = k + 2. If i = 4, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = c + 2 to p, which gives p = c + 9.\n2. Substitute c = y + 6 to p, which gives p = y + 15.\n3. Substitute y = n + 13 to p, which gives p = n + 28.\n4. Substitute n = x + 16 to p, which gives p = x + 44.\n5. Substitute x = i + 8 to p, which gives p = i + 52.\n6. Substitute i = 4 to p, which gives p = 56.\n\nThus, the final answer is p = \\boxed{56}.",
"index": 13950,
"question": "Consider a system of variables where each variable is defined as follows: n = x + 16; x = i + 8; e = i + 9; c = y + 6; i = 4; s = c + 2; o = d + 2; d = e + 14; r = o + 15; y = n + 13; p = s + 7; k = r + 18; w = k + 2. If i = 4, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"b": "p + 17", "q": "b + 16", "m": "q + 11", "f": "m + 13", "v": "f + 14", "a": "v + 8", "z": "p + 2", "t": "z + 9", "j": "t + 12", "o": "j + 17", "k": "o + 16", "i": "k + 4", "p": 3}, "premises": {"p": 3}, "target": "a"}, "answer": {"steps": [["v", "f + 14", "f + 22"], ["f", "m + 13", "m + 35"], ["m", "q + 11", "q + 46"], ["q", "b + 16", "b + 62"], ["b", "p + 17", "p + 79"], ["p", 3, "82"]], "target_var_name": "a", "target_value": 82, "value_dict": {"p": 3}, "is_reverse": true}} | 13,951 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = p + 17; j = t + 12; m = q + 11; t = z + 9; f = m + 13; i = k + 4; o = j + 17; v = f + 14; z = p + 2; q = b + 16; p = 3; k = o + 16; a = v + 8. If p = 3, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = f + 14 to a, which gives a = f + 22.\n2. Substitute f = m + 13 to a, which gives a = m + 35.\n3. Substitute m = q + 11 to a, which gives a = q + 46.\n4. Substitute q = b + 16 to a, which gives a = b + 62.\n5. Substitute b = p + 17 to a, which gives a = p + 79.\n6. Substitute p = 3 to a, which gives a = 82.\n\nThus, the final answer is a = \\boxed{82}.",
"index": 13951,
"question": "Consider a system of variables where each variable is defined as follows: b = p + 17; j = t + 12; m = q + 11; t = z + 9; f = m + 13; i = k + 4; o = j + 17; v = f + 14; z = p + 2; q = b + 16; p = 3; k = o + 16; a = v + 8. If p = 3, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"o": "x + 11", "y": "o + 9", "l": "y + 6", "e": "l + 12", "m": "e + 16", "c": "m + 8", "f": "x + 18", "v": "f + 6", "t": "v + 4", "s": "t + 2", "g": "s + 12", "w": "g + 17", "x": 16}, "premises": {"x": 16}, "target": "c"}, "answer": {"steps": [["m", "e + 16", "e + 24"], ["e", "l + 12", "l + 36"], ["l", "y + 6", "y + 42"], ["y", "o + 9", "o + 51"], ["o", "x + 11", "x + 62"], ["x", 16, "78"]], "target_var_name": "c", "target_value": 78, "value_dict": {"x": 16}, "is_reverse": true}} | 13,952 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = o + 9; w = g + 17; o = x + 11; m = e + 16; e = l + 12; t = v + 4; c = m + 8; l = y + 6; x = 16; g = s + 12; s = t + 2; v = f + 6; f = x + 18. If x = 16, what is the resulting value of c?",
"role": "user... | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = e + 16 to c, which gives c = e + 24.\n2. Substitute e = l + 12 to c, which gives c = l + 36.\n3. Substitute l = y + 6 to c, which gives c = y + 42.\n4. Substitute y = o + 9 to c, which gives c = o + 51.\n5. Substitute o = x + 11 to c, which gives c = x + 62.\n6. Substitute x = 16 to c, which gives c = 78.\n\nThus, the final answer is c = \\boxed{78}.",
"index": 13952,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = o + 9; w = g + 17; o = x + 11; m = e + 16; e = l + 12; t = v + 4; c = m + 8; l = y + 6; x = 16; g = s + 12; s = t + 2; v = f + 6; f = x + 18. If x = 16, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"y": "z + 15", "n": "y + 19", "p": "n + 20", "t": "p + 1", "m": "t + 14", "k": "m + 2", "o": "z + 14", "h": "o + 4", "j": "h + 8", "v": "j + 17", "s": "v + 10", "x": "s + 15", "z": 13}, "premises": {"z": 13}, "target": "k"}, "answer": {"steps": [["m", "t + 14", "t + 16"], ["t", "p + 1", "p + 17"], ["p", "n + 20", "n + 37"], ["n", "y + 19", "y + 56"], ["y", "z + 15", "z + 71"], ["z", 13, "84"]], "target_var_name": "k", "target_value": 84, "value_dict": {"z": 13}, "is_reverse": true}} | 13,953 | 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 = 13; n = y + 19; p = n + 20; k = m + 2; j = h + 8; x = s + 15; y = z + 15; h = o + 4; t = p + 1; v = j + 17; m = t + 14; o = z + 14; s = v + 10. If z = 13, what is the resulting value of k?",
"role": "us... | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = t + 14 to k, which gives k = t + 16.\n2. Substitute t = p + 1 to k, which gives k = p + 17.\n3. Substitute p = n + 20 to k, which gives k = n + 37.\n4. Substitute n = y + 19 to k, which gives k = y + 56.\n5. Substitute y = z + 15 to k, which gives k = z + 71.\n6. Substitute z = 13 to k, which gives k = 84.\n\nThus, the final answer is k = \\boxed{84}.",
"index": 13953,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = 13; n = y + 19; p = n + 20; k = m + 2; j = h + 8; x = s + 15; y = z + 15; h = o + 4; t = p + 1; v = j + 17; m = t + 14; o = z + 14; s = v + 10. If z = 13, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"x": "a + 5", "o": "x + 1", "c": "o + 10", "d": "c + 16", "i": "d + 4", "l": "i + 5", "u": "a + 14", "q": "u + 20", "p": "q + 10", "f": "p + 18", "w": "f + 6", "m": "w + 20", "a": 6}, "premises": {"a": 6}, "target": "l"}, "answer": {"steps": [["i", "d + 4", "d + 9"], ["d", "c + 16", "c + 25"], ["c", "o + 10", "o + 35"], ["o", "x + 1", "x + 36"], ["x", "a + 5", "a + 41"], ["a", 6, "47"]], "target_var_name": "l", "target_value": 47, "value_dict": {"a": 6}, "is_reverse": true}} | 13,954 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = q + 10; w = f + 6; q = u + 20; x = a + 5; f = p + 18; d = c + 16; u = a + 14; m = w + 20; i = d + 4; c = o + 10; o = x + 1; a = 6; l = i + 5. Given that a = 6, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = d + 4 to l, which gives l = d + 9.\n2. Substitute d = c + 16 to l, which gives l = c + 25.\n3. Substitute c = o + 10 to l, which gives l = o + 35.\n4. Substitute o = x + 1 to l, which gives l = x + 36.\n5. Substitute x = a + 5 to l, which gives l = a + 41.\n6. Substitute a = 6 to l, which gives l = 47.\n\nThus, the final answer is l = \\boxed{47}.",
"index": 13954,
"question": "Suppose a collection of variables is related by the following definitions: p = q + 10; w = f + 6; q = u + 20; x = a + 5; f = p + 18; d = c + 16; u = a + 14; m = w + 20; i = d + 4; c = o + 10; o = x + 1; a = 6; l = i + 5. Given that a = 6, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"o": "e + 11", "s": "o + 17", "k": "s + 13", "w": "k + 19", "m": "w + 14", "j": "m + 16", "c": "e + 3", "v": "c + 16", "i": "v + 14", "l": "i + 1", "x": "l + 11", "y": "x + 16", "e": 15}, "premises": {"e": 15}, "target": "j"}, "answer": {"steps": [["m", "w + 14", "w + 30"], ["w", "k + 19", "k + 49"], ["k", "s + 13", "s + 62"], ["s", "o + 17", "o + 79"], ["o", "e + 11", "e + 90"], ["e", 15, "105"]], "target_var_name": "j", "target_value": 105, "value_dict": {"e": 15}, "is_reverse": true}} | 13,955 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = i + 1; k = s + 13; s = o + 17; m = w + 14; e = 15; x = l + 11; i = v + 14; j = m + 16; c = e + 3; w = k + 19; y = x + 16; o = e + 11; v = c + 16. If e = 15, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 105,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = w + 14 to j, which gives j = w + 30.\n2. Substitute w = k + 19 to j, which gives j = k + 49.\n3. Substitute k = s + 13 to j, which gives j = s + 62.\n4. Substitute s = o + 17 to j, which gives j = o + 79.\n5. Substitute o = e + 11 to j, which gives j = e + 90.\n6. Substitute e = 15 to j, which gives j = 105.\n\nThus, the final answer is j = \\boxed{105}.",
"index": 13955,
"question": "Consider a system of variables where each variable is defined as follows: l = i + 1; k = s + 13; s = o + 17; m = w + 14; e = 15; x = l + 11; i = v + 14; j = m + 16; c = e + 3; w = k + 19; y = x + 16; o = e + 11; v = c + 16. If e = 15, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"b": "s + 19", "h": "b + 12", "x": "h + 20", "q": "x + 17", "m": "q + 14", "k": "m + 19", "f": "s + 10", "n": "f + 12", "a": "n + 19", "e": "a + 20", "c": "e + 14", "d": "c + 16", "s": 9}, "premises": {"s": 9}, "target": "k"}, "answer": {"steps": [["m", "q + 14", "q + 33"], ["q", "x + 17", "x + 50"], ["x", "h + 20", "h + 70"], ["h", "b + 12", "b + 82"], ["b", "s + 19", "s + 101"], ["s", 9, "110"]], "target_var_name": "k", "target_value": 110, "value_dict": {"s": 9}, "is_reverse": true}} | 13,956 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = c + 16; b = s + 19; q = x + 17; e = a + 20; k = m + 19; m = q + 14; c = e + 14; n = f + 12; s = 9; h = b + 12; f = s + 10; x = h + 20; a = n + 19. If s = 9, what is the resulting value of k?",
"role": "... | math | {
"ground_truth": 110,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = q + 14 to k, which gives k = q + 33.\n2. Substitute q = x + 17 to k, which gives k = x + 50.\n3. Substitute x = h + 20 to k, which gives k = h + 70.\n4. Substitute h = b + 12 to k, which gives k = b + 82.\n5. Substitute b = s + 19 to k, which gives k = s + 101.\n6. Substitute s = 9 to k, which gives k = 110.\n\nThus, the final answer is k = \\boxed{110}.",
"index": 13956,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = c + 16; b = s + 19; q = x + 17; e = a + 20; k = m + 19; m = q + 14; c = e + 14; n = f + 12; s = 9; h = b + 12; f = s + 10; x = h + 20; a = n + 19. If s = 9, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"a": "f + 19", "p": "a + 5", "e": "p + 16", "c": "e + 6", "g": "c + 18", "s": "g + 16", "w": "f + 8", "h": "w + 5", "n": "h + 1", "r": "n + 19", "b": "r + 19", "q": "b + 16", "f": 17}, "premises": {"f": 17}, "target": "s"}, "answer": {"steps": [["g", "c + 18", "c + 34"], ["c", "e + 6", "e + 40"], ["e", "p + 16", "p + 56"], ["p", "a + 5", "a + 61"], ["a", "f + 19", "f + 80"], ["f", 17, "97"]], "target_var_name": "s", "target_value": 97, "value_dict": {"f": 17}, "is_reverse": true}} | 13,957 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = f + 8; a = f + 19; r = n + 19; c = e + 6; b = r + 19; g = c + 18; s = g + 16; h = w + 5; e = p + 16; p = a + 5; f = 17; q = b + 16; n = h + 1. If f = 17, what is the resulting value of s?",
"role": "use... | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = c + 18 to s, which gives s = c + 34.\n2. Substitute c = e + 6 to s, which gives s = e + 40.\n3. Substitute e = p + 16 to s, which gives s = p + 56.\n4. Substitute p = a + 5 to s, which gives s = a + 61.\n5. Substitute a = f + 19 to s, which gives s = f + 80.\n6. Substitute f = 17 to s, which gives s = 97.\n\nThus, the final answer is s = \\boxed{97}.",
"index": 13957,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = f + 8; a = f + 19; r = n + 19; c = e + 6; b = r + 19; g = c + 18; s = g + 16; h = w + 5; e = p + 16; p = a + 5; f = 17; q = b + 16; n = h + 1. If f = 17, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"a": "g + 8", "b": "a + 11", "o": "b + 17", "l": "o + 13", "d": "l + 16", "e": "d + 6", "y": "g + 13", "s": "y + 10", "i": "s + 14", "c": "i + 17", "x": "c + 11", "p": "x + 9", "g": 3}, "premises": {"g": 3}, "target": "e"}, "answer": {"steps": [["d", "l + 16", "l + 22"], ["l", "o + 13", "o + 35"], ["o", "b + 17", "b + 52"], ["b", "a + 11", "a + 63"], ["a", "g + 8", "g + 71"], ["g", 3, "74"]], "target_var_name": "e", "target_value": 74, "value_dict": {"g": 3}, "is_reverse": true}} | 13,958 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = a + 11; d = l + 16; o = b + 17; l = o + 13; a = g + 8; i = s + 14; x = c + 11; g = 3; c = i + 17; e = d + 6; p = x + 9; s = y + 10; y = g + 13. If g = 3, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = l + 16 to e, which gives e = l + 22.\n2. Substitute l = o + 13 to e, which gives e = o + 35.\n3. Substitute o = b + 17 to e, which gives e = b + 52.\n4. Substitute b = a + 11 to e, which gives e = a + 63.\n5. Substitute a = g + 8 to e, which gives e = g + 71.\n6. Substitute g = 3 to e, which gives e = 74.\n\nThus, the final answer is e = \\boxed{74}.",
"index": 13958,
"question": "Consider a system of variables where each variable is defined as follows: b = a + 11; d = l + 16; o = b + 17; l = o + 13; a = g + 8; i = s + 14; x = c + 11; g = 3; c = i + 17; e = d + 6; p = x + 9; s = y + 10; y = g + 13. If g = 3, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"y": "i + 2", "f": "y + 13", "u": "f + 6", "r": "u + 14", "t": "r + 13", "p": "t + 3", "w": "i + 11", "g": "w + 5", "n": "g + 13", "j": "n + 18", "b": "j + 18", "q": "b + 11", "i": 13}, "premises": {"i": 13}, "target": "p"}, "answer": {"steps": [["t", "r + 13", "r + 16"], ["r", "u + 14", "u + 30"], ["u", "f + 6", "f + 36"], ["f", "y + 13", "y + 49"], ["y", "i + 2", "i + 51"], ["i", 13, "64"]], "target_var_name": "p", "target_value": 64, "value_dict": {"i": 13}, "is_reverse": true}} | 13,959 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = i + 11; b = j + 18; f = y + 13; t = r + 13; j = n + 18; y = i + 2; n = g + 13; u = f + 6; r = u + 14; g = w + 5; q = b + 11; p = t + 3; i = 13. Given that i = 13, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = r + 13 to p, which gives p = r + 16.\n2. Substitute r = u + 14 to p, which gives p = u + 30.\n3. Substitute u = f + 6 to p, which gives p = f + 36.\n4. Substitute f = y + 13 to p, which gives p = y + 49.\n5. Substitute y = i + 2 to p, which gives p = i + 51.\n6. Substitute i = 13 to p, which gives p = 64.\n\nThus, the final answer is p = \\boxed{64}.",
"index": 13959,
"question": "Suppose a collection of variables is related by the following definitions: w = i + 11; b = j + 18; f = y + 13; t = r + 13; j = n + 18; y = i + 2; n = g + 13; u = f + 6; r = u + 14; g = w + 5; q = b + 11; p = t + 3; i = 13. Given that i = 13, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"g": "p + 18", "h": "g + 6", "s": "h + 7", "d": "s + 7", "j": "d + 4", "i": "j + 14", "w": "p + 20", "l": "w + 12", "a": "l + 15", "k": "a + 6", "q": "k + 20", "z": "q + 18", "p": 5}, "premises": {"p": 5}, "target": "i"}, "answer": {"steps": [["j", "d + 4", "d + 18"], ["d", "s + 7", "s + 25"], ["s", "h + 7", "h + 32"], ["h", "g + 6", "g + 38"], ["g", "p + 18", "p + 56"], ["p", 5, "61"]], "target_var_name": "i", "target_value": 61, "value_dict": {"p": 5}, "is_reverse": true}} | 13,960 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = w + 12; z = q + 18; p = 5; d = s + 7; a = l + 15; i = j + 14; h = g + 6; j = d + 4; g = p + 18; q = k + 20; k = a + 6; s = h + 7; w = p + 20. If p = 5, 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 j = d + 4 to i, which gives i = d + 18.\n2. Substitute d = s + 7 to i, which gives i = s + 25.\n3. Substitute s = h + 7 to i, which gives i = h + 32.\n4. Substitute h = g + 6 to i, which gives i = g + 38.\n5. Substitute g = p + 18 to i, which gives i = p + 56.\n6. Substitute p = 5 to i, which gives i = 61.\n\nThus, the final answer is i = \\boxed{61}.",
"index": 13960,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = w + 12; z = q + 18; p = 5; d = s + 7; a = l + 15; i = j + 14; h = g + 6; j = d + 4; g = p + 18; q = k + 20; k = a + 6; s = h + 7; w = p + 20. If p = 5, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"i": "y + 17", "u": "i + 5", "p": "u + 14", "s": "p + 12", "e": "s + 18", "g": "e + 8", "a": "y + 1", "c": "a + 5", "l": "c + 12", "f": "l + 8", "j": "f + 12", "x": "j + 17", "y": 8}, "premises": {"y": 8}, "target": "g"}, "answer": {"steps": [["e", "s + 18", "s + 26"], ["s", "p + 12", "p + 38"], ["p", "u + 14", "u + 52"], ["u", "i + 5", "i + 57"], ["i", "y + 17", "y + 74"], ["y", 8, "82"]], "target_var_name": "g", "target_value": 82, "value_dict": {"y": 8}, "is_reverse": true}} | 13,961 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = 8; i = y + 17; c = a + 5; s = p + 12; g = e + 8; u = i + 5; p = u + 14; f = l + 8; x = j + 17; a = y + 1; e = s + 18; j = f + 12; l = c + 12. If y = 8, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = s + 18 to g, which gives g = s + 26.\n2. Substitute s = p + 12 to g, which gives g = p + 38.\n3. Substitute p = u + 14 to g, which gives g = u + 52.\n4. Substitute u = i + 5 to g, which gives g = i + 57.\n5. Substitute i = y + 17 to g, which gives g = y + 74.\n6. Substitute y = 8 to g, which gives g = 82.\n\nThus, the final answer is g = \\boxed{82}.",
"index": 13961,
"question": "Consider a system of variables where each variable is defined as follows: y = 8; i = y + 17; c = a + 5; s = p + 12; g = e + 8; u = i + 5; p = u + 14; f = l + 8; x = j + 17; a = y + 1; e = s + 18; j = f + 12; l = c + 12. If y = 8, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"o": "d + 11", "h": "o + 12", "f": "h + 5", "q": "f + 16", "v": "q + 11", "u": "v + 13", "a": "d + 20", "x": "a + 12", "k": "x + 11", "i": "k + 19", "c": "i + 1", "n": "c + 3", "d": 18}, "premises": {"d": 18}, "target": "u"}, "answer": {"steps": [["v", "q + 11", "q + 24"], ["q", "f + 16", "f + 40"], ["f", "h + 5", "h + 45"], ["h", "o + 12", "o + 57"], ["o", "d + 11", "d + 68"], ["d", 18, "86"]], "target_var_name": "u", "target_value": 86, "value_dict": {"d": 18}, "is_reverse": true}} | 13,962 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = x + 11; v = q + 11; c = i + 1; d = 18; h = o + 12; n = c + 3; a = d + 20; f = h + 5; u = v + 13; x = a + 12; o = d + 11; q = f + 16; i = k + 19. If d = 18, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = q + 11 to u, which gives u = q + 24.\n2. Substitute q = f + 16 to u, which gives u = f + 40.\n3. Substitute f = h + 5 to u, which gives u = h + 45.\n4. Substitute h = o + 12 to u, which gives u = o + 57.\n5. Substitute o = d + 11 to u, which gives u = d + 68.\n6. Substitute d = 18 to u, which gives u = 86.\n\nThus, the final answer is u = \\boxed{86}.",
"index": 13962,
"question": "Consider a system of variables where each variable is defined as follows: k = x + 11; v = q + 11; c = i + 1; d = 18; h = o + 12; n = c + 3; a = d + 20; f = h + 5; u = v + 13; x = a + 12; o = d + 11; q = f + 16; i = k + 19. If d = 18, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"p": "k + 18", "w": "p + 7", "s": "w + 11", "m": "s + 10", "f": "m + 16", "l": "f + 5", "e": "k + 5", "x": "e + 20", "r": "x + 1", "c": "r + 3", "h": "c + 20", "i": "h + 5", "k": 13}, "premises": {"k": 13}, "target": "l"}, "answer": {"steps": [["f", "m + 16", "m + 21"], ["m", "s + 10", "s + 31"], ["s", "w + 11", "w + 42"], ["w", "p + 7", "p + 49"], ["p", "k + 18", "k + 67"], ["k", 13, "80"]], "target_var_name": "l", "target_value": 80, "value_dict": {"k": 13}, "is_reverse": true}} | 13,963 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = p + 7; i = h + 5; s = w + 11; c = r + 3; f = m + 16; k = 13; p = k + 18; x = e + 20; m = s + 10; r = x + 1; l = f + 5; h = c + 20; e = k + 5. Given that k = 13, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = m + 16 to l, which gives l = m + 21.\n2. Substitute m = s + 10 to l, which gives l = s + 31.\n3. Substitute s = w + 11 to l, which gives l = w + 42.\n4. Substitute w = p + 7 to l, which gives l = p + 49.\n5. Substitute p = k + 18 to l, which gives l = k + 67.\n6. Substitute k = 13 to l, which gives l = 80.\n\nThus, the final answer is l = \\boxed{80}.",
"index": 13963,
"question": "Suppose a collection of variables is related by the following definitions: w = p + 7; i = h + 5; s = w + 11; c = r + 3; f = m + 16; k = 13; p = k + 18; x = e + 20; m = s + 10; r = x + 1; l = f + 5; h = c + 20; e = k + 5. Given that k = 13, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"m": "s + 13", "q": "m + 15", "r": "q + 9", "e": "r + 20", "w": "e + 9", "n": "w + 19", "t": "s + 11", "a": "t + 20", "k": "a + 11", "d": "k + 12", "o": "d + 2", "j": "o + 10", "s": 10}, "premises": {"s": 10}, "target": "n"}, "answer": {"steps": [["w", "e + 9", "e + 28"], ["e", "r + 20", "r + 48"], ["r", "q + 9", "q + 57"], ["q", "m + 15", "m + 72"], ["m", "s + 13", "s + 85"], ["s", 10, "95"]], "target_var_name": "n", "target_value": 95, "value_dict": {"s": 10}, "is_reverse": true}} | 13,964 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = r + 20; o = d + 2; a = t + 20; w = e + 9; r = q + 9; q = m + 15; m = s + 13; n = w + 19; d = k + 12; s = 10; t = s + 11; k = a + 11; j = o + 10. If s = 10, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = e + 9 to n, which gives n = e + 28.\n2. Substitute e = r + 20 to n, which gives n = r + 48.\n3. Substitute r = q + 9 to n, which gives n = q + 57.\n4. Substitute q = m + 15 to n, which gives n = m + 72.\n5. Substitute m = s + 13 to n, which gives n = s + 85.\n6. Substitute s = 10 to n, which gives n = 95.\n\nThus, the final answer is n = \\boxed{95}.",
"index": 13964,
"question": "Consider a system of variables where each variable is defined as follows: e = r + 20; o = d + 2; a = t + 20; w = e + 9; r = q + 9; q = m + 15; m = s + 13; n = w + 19; d = k + 12; s = 10; t = s + 11; k = a + 11; j = o + 10. If s = 10, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"x": "t + 3", "n": "x + 9", "y": "n + 12", "j": "y + 6", "h": "j + 16", "p": "h + 16", "l": "t + 10", "q": "l + 1", "m": "q + 13", "w": "m + 14", "u": "w + 3", "c": "u + 6", "t": 11}, "premises": {"t": 11}, "target": "p"}, "answer": {"steps": [["h", "j + 16", "j + 32"], ["j", "y + 6", "y + 38"], ["y", "n + 12", "n + 50"], ["n", "x + 9", "x + 59"], ["x", "t + 3", "t + 62"], ["t", 11, "73"]], "target_var_name": "p", "target_value": 73, "value_dict": {"t": 11}, "is_reverse": true}} | 13,965 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = q + 13; c = u + 6; u = w + 3; j = y + 6; p = h + 16; l = t + 10; t = 11; w = m + 14; h = j + 16; y = n + 12; x = t + 3; q = l + 1; n = x + 9. If t = 11, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = j + 16 to p, which gives p = j + 32.\n2. Substitute j = y + 6 to p, which gives p = y + 38.\n3. Substitute y = n + 12 to p, which gives p = n + 50.\n4. Substitute n = x + 9 to p, which gives p = x + 59.\n5. Substitute x = t + 3 to p, which gives p = t + 62.\n6. Substitute t = 11 to p, which gives p = 73.\n\nThus, the final answer is p = \\boxed{73}.",
"index": 13965,
"question": "Consider a system of variables where each variable is defined as follows: m = q + 13; c = u + 6; u = w + 3; j = y + 6; p = h + 16; l = t + 10; t = 11; w = m + 14; h = j + 16; y = n + 12; x = t + 3; q = l + 1; n = x + 9. If t = 11, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"o": "l + 7", "t": "o + 10", "m": "t + 17", "w": "m + 3", "f": "w + 16", "a": "f + 16", "n": "l + 8", "v": "n + 2", "c": "v + 7", "s": "c + 15", "e": "s + 10", "y": "e + 19", "l": 2}, "premises": {"l": 2}, "target": "a"}, "answer": {"steps": [["f", "w + 16", "w + 32"], ["w", "m + 3", "m + 35"], ["m", "t + 17", "t + 52"], ["t", "o + 10", "o + 62"], ["o", "l + 7", "l + 69"], ["l", 2, "71"]], "target_var_name": "a", "target_value": 71, "value_dict": {"l": 2}, "is_reverse": true}} | 13,966 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = t + 17; f = w + 16; o = l + 7; y = e + 19; l = 2; c = v + 7; e = s + 10; s = c + 15; n = l + 8; v = n + 2; t = o + 10; w = m + 3; a = f + 16. If l = 2, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = w + 16 to a, which gives a = w + 32.\n2. Substitute w = m + 3 to a, which gives a = m + 35.\n3. Substitute m = t + 17 to a, which gives a = t + 52.\n4. Substitute t = o + 10 to a, which gives a = o + 62.\n5. Substitute o = l + 7 to a, which gives a = l + 69.\n6. Substitute l = 2 to a, which gives a = 71.\n\nThus, the final answer is a = \\boxed{71}.",
"index": 13966,
"question": "Consider a system of variables where each variable is defined as follows: m = t + 17; f = w + 16; o = l + 7; y = e + 19; l = 2; c = v + 7; e = s + 10; s = c + 15; n = l + 8; v = n + 2; t = o + 10; w = m + 3; a = f + 16. If l = 2, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"b": "x + 7", "c": "b + 16", "g": "c + 15", "y": "g + 5", "d": "y + 15", "t": "d + 8", "i": "x + 12", "u": "i + 14", "e": "u + 16", "m": "e + 6", "k": "m + 6", "v": "k + 9", "x": 17}, "premises": {"x": 17}, "target": "t"}, "answer": {"steps": [["d", "y + 15", "y + 23"], ["y", "g + 5", "g + 28"], ["g", "c + 15", "c + 43"], ["c", "b + 16", "b + 59"], ["b", "x + 7", "x + 66"], ["x", 17, "83"]], "target_var_name": "t", "target_value": 83, "value_dict": {"x": 17}, "is_reverse": true}} | 13,967 | 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 = c + 15; v = k + 9; c = b + 16; m = e + 6; e = u + 16; y = g + 5; b = x + 7; u = i + 14; d = y + 15; k = m + 6; i = x + 12; x = 17; t = d + 8. If x = 17, what is the resulting value of t?",
"role": "user... | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = y + 15 to t, which gives t = y + 23.\n2. Substitute y = g + 5 to t, which gives t = g + 28.\n3. Substitute g = c + 15 to t, which gives t = c + 43.\n4. Substitute c = b + 16 to t, which gives t = b + 59.\n5. Substitute b = x + 7 to t, which gives t = x + 66.\n6. Substitute x = 17 to t, which gives t = 83.\n\nThus, the final answer is t = \\boxed{83}.",
"index": 13967,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = c + 15; v = k + 9; c = b + 16; m = e + 6; e = u + 16; y = g + 5; b = x + 7; u = i + 14; d = y + 15; k = m + 6; i = x + 12; x = 17; t = d + 8. If x = 17, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"j": "p + 12", "s": "j + 15", "b": "s + 14", "o": "b + 19", "d": "o + 4", "u": "d + 16", "c": "p + 6", "m": "c + 15", "f": "m + 9", "e": "f + 1", "x": "e + 11", "h": "x + 5", "p": 9}, "premises": {"p": 9}, "target": "u"}, "answer": {"steps": [["d", "o + 4", "o + 20"], ["o", "b + 19", "b + 39"], ["b", "s + 14", "s + 53"], ["s", "j + 15", "j + 68"], ["j", "p + 12", "p + 80"], ["p", 9, "89"]], "target_var_name": "u", "target_value": 89, "value_dict": {"p": 9}, "is_reverse": true}} | 13,968 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = e + 11; s = j + 15; e = f + 1; j = p + 12; f = m + 9; b = s + 14; d = o + 4; c = p + 6; o = b + 19; u = d + 16; m = c + 15; h = x + 5; p = 9. Given that p = 9, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = o + 4 to u, which gives u = o + 20.\n2. Substitute o = b + 19 to u, which gives u = b + 39.\n3. Substitute b = s + 14 to u, which gives u = s + 53.\n4. Substitute s = j + 15 to u, which gives u = j + 68.\n5. Substitute j = p + 12 to u, which gives u = p + 80.\n6. Substitute p = 9 to u, which gives u = 89.\n\nThus, the final answer is u = \\boxed{89}.",
"index": 13968,
"question": "Suppose a collection of variables is related by the following definitions: x = e + 11; s = j + 15; e = f + 1; j = p + 12; f = m + 9; b = s + 14; d = o + 4; c = p + 6; o = b + 19; u = d + 16; m = c + 15; h = x + 5; p = 9. Given that p = 9, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"c": "t + 3", "d": "c + 18", "o": "d + 19", "f": "o + 9", "s": "f + 19", "q": "s + 2", "x": "t + 6", "r": "x + 11", "i": "r + 20", "n": "i + 14", "l": "n + 2", "u": "l + 9", "t": 16}, "premises": {"t": 16}, "target": "q"}, "answer": {"steps": [["s", "f + 19", "f + 21"], ["f", "o + 9", "o + 30"], ["o", "d + 19", "d + 49"], ["d", "c + 18", "c + 67"], ["c", "t + 3", "t + 70"], ["t", 16, "86"]], "target_var_name": "q", "target_value": 86, "value_dict": {"t": 16}, "is_reverse": true}} | 13,969 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = f + 19; u = l + 9; c = t + 3; q = s + 2; r = x + 11; x = t + 6; n = i + 14; t = 16; i = r + 20; l = n + 2; f = o + 9; o = d + 19; d = c + 18. Given that t = 16, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = f + 19 to q, which gives q = f + 21.\n2. Substitute f = o + 9 to q, which gives q = o + 30.\n3. Substitute o = d + 19 to q, which gives q = d + 49.\n4. Substitute d = c + 18 to q, which gives q = c + 67.\n5. Substitute c = t + 3 to q, which gives q = t + 70.\n6. Substitute t = 16 to q, which gives q = 86.\n\nThus, the final answer is q = \\boxed{86}.",
"index": 13969,
"question": "Suppose a collection of variables is related by the following definitions: s = f + 19; u = l + 9; c = t + 3; q = s + 2; r = x + 11; x = t + 6; n = i + 14; t = 16; i = r + 20; l = n + 2; f = o + 9; o = d + 19; d = c + 18. Given that t = 16, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"x": "u + 14", "e": "x + 16", "b": "e + 7", "d": "b + 8", "s": "d + 2", "l": "s + 9", "k": "u + 8", "z": "k + 16", "p": "z + 3", "m": "p + 9", "w": "m + 13", "o": "w + 16", "u": 1}, "premises": {"u": 1}, "target": "l"}, "answer": {"steps": [["s", "d + 2", "d + 11"], ["d", "b + 8", "b + 19"], ["b", "e + 7", "e + 26"], ["e", "x + 16", "x + 42"], ["x", "u + 14", "u + 56"], ["u", 1, "57"]], "target_var_name": "l", "target_value": 57, "value_dict": {"u": 1}, "is_reverse": true}} | 13,970 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = e + 7; e = x + 16; w = m + 13; m = p + 9; d = b + 8; k = u + 8; o = w + 16; l = s + 9; z = k + 16; u = 1; s = d + 2; p = z + 3; x = u + 14. If u = 1, what is the resulting value of l?",
"role": "user"
... | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = d + 2 to l, which gives l = d + 11.\n2. Substitute d = b + 8 to l, which gives l = b + 19.\n3. Substitute b = e + 7 to l, which gives l = e + 26.\n4. Substitute e = x + 16 to l, which gives l = x + 42.\n5. Substitute x = u + 14 to l, which gives l = u + 56.\n6. Substitute u = 1 to l, which gives l = 57.\n\nThus, the final answer is l = \\boxed{57}.",
"index": 13970,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = e + 7; e = x + 16; w = m + 13; m = p + 9; d = b + 8; k = u + 8; o = w + 16; l = s + 9; z = k + 16; u = 1; s = d + 2; p = z + 3; x = u + 14. If u = 1, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"w": "b + 18", "s": "w + 10", "z": "s + 1", "g": "z + 18", "d": "g + 16", "l": "d + 7", "v": "b + 5", "k": "v + 6", "f": "k + 12", "c": "f + 17", "t": "c + 5", "p": "t + 16", "b": 19}, "premises": {"b": 19}, "target": "l"}, "answer": {"steps": [["d", "g + 16", "g + 23"], ["g", "z + 18", "z + 41"], ["z", "s + 1", "s + 42"], ["s", "w + 10", "w + 52"], ["w", "b + 18", "b + 70"], ["b", 19, "89"]], "target_var_name": "l", "target_value": 89, "value_dict": {"b": 19}, "is_reverse": true}} | 13,971 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = w + 10; f = k + 12; p = t + 16; v = b + 5; k = v + 6; d = g + 16; b = 19; g = z + 18; w = b + 18; t = c + 5; z = s + 1; c = f + 17; l = d + 7. If b = 19, determine the 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 d = g + 16 to l, which gives l = g + 23.\n2. Substitute g = z + 18 to l, which gives l = z + 41.\n3. Substitute z = s + 1 to l, which gives l = s + 42.\n4. Substitute s = w + 10 to l, which gives l = w + 52.\n5. Substitute w = b + 18 to l, which gives l = b + 70.\n6. Substitute b = 19 to l, which gives l = 89.\n\nThus, the final answer is l = \\boxed{89}.",
"index": 13971,
"question": "Consider a system of variables where each variable is defined as follows: s = w + 10; f = k + 12; p = t + 16; v = b + 5; k = v + 6; d = g + 16; b = 19; g = z + 18; w = b + 18; t = c + 5; z = s + 1; c = f + 17; l = d + 7. If b = 19, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"k": "c + 7", "u": "k + 17", "m": "u + 13", "v": "m + 2", "z": "v + 7", "o": "z + 7", "n": "c + 6", "l": "n + 8", "j": "l + 13", "b": "j + 16", "a": "b + 10", "x": "a + 3", "c": 13}, "premises": {"c": 13}, "target": "o"}, "answer": {"steps": [["z", "v + 7", "v + 14"], ["v", "m + 2", "m + 16"], ["m", "u + 13", "u + 29"], ["u", "k + 17", "k + 46"], ["k", "c + 7", "c + 53"], ["c", 13, "66"]], "target_var_name": "o", "target_value": 66, "value_dict": {"c": 13}, "is_reverse": true}} | 13,972 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = v + 7; x = a + 3; o = z + 7; b = j + 16; k = c + 7; n = c + 6; j = l + 13; m = u + 13; l = n + 8; u = k + 17; a = b + 10; v = m + 2; c = 13. Given that c = 13, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = v + 7 to o, which gives o = v + 14.\n2. Substitute v = m + 2 to o, which gives o = m + 16.\n3. Substitute m = u + 13 to o, which gives o = u + 29.\n4. Substitute u = k + 17 to o, which gives o = k + 46.\n5. Substitute k = c + 7 to o, which gives o = c + 53.\n6. Substitute c = 13 to o, which gives o = 66.\n\nThus, the final answer is o = \\boxed{66}.",
"index": 13972,
"question": "Suppose a collection of variables is related by the following definitions: z = v + 7; x = a + 3; o = z + 7; b = j + 16; k = c + 7; n = c + 6; j = l + 13; m = u + 13; l = n + 8; u = k + 17; a = b + 10; v = m + 2; c = 13. Given that c = 13, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"u": "k + 15", "e": "u + 1", "j": "e + 3", "q": "j + 12", "o": "q + 1", "h": "o + 14", "t": "k + 17", "r": "t + 15", "v": "r + 4", "z": "v + 14", "g": "z + 16", "f": "g + 6", "k": 6}, "premises": {"k": 6}, "target": "h"}, "answer": {"steps": [["o", "q + 1", "q + 15"], ["q", "j + 12", "j + 27"], ["j", "e + 3", "e + 30"], ["e", "u + 1", "u + 31"], ["u", "k + 15", "k + 46"], ["k", 6, "52"]], "target_var_name": "h", "target_value": 52, "value_dict": {"k": 6}, "is_reverse": true}} | 13,973 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = z + 16; e = u + 1; v = r + 4; r = t + 15; o = q + 1; z = v + 14; f = g + 6; t = k + 17; k = 6; q = j + 12; h = o + 14; j = e + 3; u = k + 15. Given that k = 6, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = q + 1 to h, which gives h = q + 15.\n2. Substitute q = j + 12 to h, which gives h = j + 27.\n3. Substitute j = e + 3 to h, which gives h = e + 30.\n4. Substitute e = u + 1 to h, which gives h = u + 31.\n5. Substitute u = k + 15 to h, which gives h = k + 46.\n6. Substitute k = 6 to h, which gives h = 52.\n\nThus, the final answer is h = \\boxed{52}.",
"index": 13973,
"question": "Suppose a collection of variables is related by the following definitions: g = z + 16; e = u + 1; v = r + 4; r = t + 15; o = q + 1; z = v + 14; f = g + 6; t = k + 17; k = 6; q = j + 12; h = o + 14; j = e + 3; u = k + 15. Given that k = 6, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"j": "x + 10", "e": "j + 6", "s": "e + 4", "q": "s + 14", "a": "q + 11", "r": "a + 18", "p": "x + 6", "b": "p + 13", "v": "b + 14", "f": "v + 6", "n": "f + 20", "o": "n + 13", "x": 4}, "premises": {"x": 4}, "target": "r"}, "answer": {"steps": [["a", "q + 11", "q + 29"], ["q", "s + 14", "s + 43"], ["s", "e + 4", "e + 47"], ["e", "j + 6", "j + 53"], ["j", "x + 10", "x + 63"], ["x", 4, "67"]], "target_var_name": "r", "target_value": 67, "value_dict": {"x": 4}, "is_reverse": true}} | 13,974 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = j + 6; r = a + 18; a = q + 11; j = x + 10; v = b + 14; p = x + 6; s = e + 4; b = p + 13; f = v + 6; n = f + 20; o = n + 13; q = s + 14; x = 4. Given that x = 4, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = q + 11 to r, which gives r = q + 29.\n2. Substitute q = s + 14 to r, which gives r = s + 43.\n3. Substitute s = e + 4 to r, which gives r = e + 47.\n4. Substitute e = j + 6 to r, which gives r = j + 53.\n5. Substitute j = x + 10 to r, which gives r = x + 63.\n6. Substitute x = 4 to r, which gives r = 67.\n\nThus, the final answer is r = \\boxed{67}.",
"index": 13974,
"question": "Suppose a collection of variables is related by the following definitions: e = j + 6; r = a + 18; a = q + 11; j = x + 10; v = b + 14; p = x + 6; s = e + 4; b = p + 13; f = v + 6; n = f + 20; o = n + 13; q = s + 14; x = 4. Given that x = 4, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"v": "j + 7", "l": "v + 12", "a": "l + 4", "g": "a + 7", "s": "g + 1", "d": "s + 10", "c": "j + 1", "y": "c + 19", "q": "y + 1", "p": "q + 13", "n": "p + 6", "o": "n + 19", "j": 20}, "premises": {"j": 20}, "target": "d"}, "answer": {"steps": [["s", "g + 1", "g + 11"], ["g", "a + 7", "a + 18"], ["a", "l + 4", "l + 22"], ["l", "v + 12", "v + 34"], ["v", "j + 7", "j + 41"], ["j", 20, "61"]], "target_var_name": "d", "target_value": 61, "value_dict": {"j": 20}, "is_reverse": true}} | 13,975 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = y + 1; g = a + 7; o = n + 19; s = g + 1; a = l + 4; y = c + 19; d = s + 10; n = p + 6; c = j + 1; p = q + 13; j = 20; l = v + 12; v = j + 7. Given that j = 20, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = g + 1 to d, which gives d = g + 11.\n2. Substitute g = a + 7 to d, which gives d = a + 18.\n3. Substitute a = l + 4 to d, which gives d = l + 22.\n4. Substitute l = v + 12 to d, which gives d = v + 34.\n5. Substitute v = j + 7 to d, which gives d = j + 41.\n6. Substitute j = 20 to d, which gives d = 61.\n\nThus, the final answer is d = \\boxed{61}.",
"index": 13975,
"question": "Suppose a collection of variables is related by the following definitions: q = y + 1; g = a + 7; o = n + 19; s = g + 1; a = l + 4; y = c + 19; d = s + 10; n = p + 6; c = j + 1; p = q + 13; j = 20; l = v + 12; v = j + 7. Given that j = 20, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"f": "y + 20", "t": "f + 9", "e": "t + 5", "r": "e + 19", "x": "r + 20", "u": "x + 14", "n": "y + 6", "w": "n + 2", "z": "w + 3", "h": "z + 8", "q": "h + 16", "m": "q + 19", "y": 20}, "premises": {"y": 20}, "target": "u"}, "answer": {"steps": [["x", "r + 20", "r + 34"], ["r", "e + 19", "e + 53"], ["e", "t + 5", "t + 58"], ["t", "f + 9", "f + 67"], ["f", "y + 20", "y + 87"], ["y", 20, "107"]], "target_var_name": "u", "target_value": 107, "value_dict": {"y": 20}, "is_reverse": true}} | 13,976 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = q + 19; f = y + 20; q = h + 16; y = 20; n = y + 6; e = t + 5; h = z + 8; r = e + 19; w = n + 2; u = x + 14; x = r + 20; t = f + 9; z = w + 3. If y = 20, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 107,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = r + 20 to u, which gives u = r + 34.\n2. Substitute r = e + 19 to u, which gives u = e + 53.\n3. Substitute e = t + 5 to u, which gives u = t + 58.\n4. Substitute t = f + 9 to u, which gives u = f + 67.\n5. Substitute f = y + 20 to u, which gives u = y + 87.\n6. Substitute y = 20 to u, which gives u = 107.\n\nThus, the final answer is u = \\boxed{107}.",
"index": 13976,
"question": "Consider a system of variables where each variable is defined as follows: m = q + 19; f = y + 20; q = h + 16; y = 20; n = y + 6; e = t + 5; h = z + 8; r = e + 19; w = n + 2; u = x + 14; x = r + 20; t = f + 9; z = w + 3. If y = 20, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"m": "o + 10", "f": "m + 7", "k": "f + 10", "q": "k + 9", "j": "q + 6", "l": "j + 12", "g": "o + 16", "u": "g + 5", "h": "u + 2", "v": "h + 16", "y": "v + 12", "x": "y + 17", "o": 17}, "premises": {"o": 17}, "target": "l"}, "answer": {"steps": [["j", "q + 6", "q + 18"], ["q", "k + 9", "k + 27"], ["k", "f + 10", "f + 37"], ["f", "m + 7", "m + 44"], ["m", "o + 10", "o + 54"], ["o", 17, "71"]], "target_var_name": "l", "target_value": 71, "value_dict": {"o": 17}, "is_reverse": true}} | 13,977 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = m + 7; q = k + 9; g = o + 16; k = f + 10; o = 17; x = y + 17; j = q + 6; h = u + 2; l = j + 12; y = v + 12; v = h + 16; m = o + 10; u = g + 5. If o = 17, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = q + 6 to l, which gives l = q + 18.\n2. Substitute q = k + 9 to l, which gives l = k + 27.\n3. Substitute k = f + 10 to l, which gives l = f + 37.\n4. Substitute f = m + 7 to l, which gives l = m + 44.\n5. Substitute m = o + 10 to l, which gives l = o + 54.\n6. Substitute o = 17 to l, which gives l = 71.\n\nThus, the final answer is l = \\boxed{71}.",
"index": 13977,
"question": "Consider a system of variables where each variable is defined as follows: f = m + 7; q = k + 9; g = o + 16; k = f + 10; o = 17; x = y + 17; j = q + 6; h = u + 2; l = j + 12; y = v + 12; v = h + 16; m = o + 10; u = g + 5. If o = 17, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"x": "q + 15", "z": "x + 7", "u": "z + 6", "o": "u + 13", "e": "o + 12", "g": "e + 9", "b": "q + 11", "a": "b + 4", "p": "a + 5", "h": "p + 2", "w": "h + 5", "m": "w + 19", "q": 19}, "premises": {"q": 19}, "target": "g"}, "answer": {"steps": [["e", "o + 12", "o + 21"], ["o", "u + 13", "u + 34"], ["u", "z + 6", "z + 40"], ["z", "x + 7", "x + 47"], ["x", "q + 15", "q + 62"], ["q", 19, "81"]], "target_var_name": "g", "target_value": 81, "value_dict": {"q": 19}, "is_reverse": true}} | 13,978 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = q + 15; u = z + 6; e = o + 12; q = 19; o = u + 13; b = q + 11; g = e + 9; h = p + 2; m = w + 19; p = a + 5; w = h + 5; z = x + 7; a = b + 4. If q = 19, 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 e = o + 12 to g, which gives g = o + 21.\n2. Substitute o = u + 13 to g, which gives g = u + 34.\n3. Substitute u = z + 6 to g, which gives g = z + 40.\n4. Substitute z = x + 7 to g, which gives g = x + 47.\n5. Substitute x = q + 15 to g, which gives g = q + 62.\n6. Substitute q = 19 to g, which gives g = 81.\n\nThus, the final answer is g = \\boxed{81}.",
"index": 13978,
"question": "Consider a system of variables where each variable is defined as follows: x = q + 15; u = z + 6; e = o + 12; q = 19; o = u + 13; b = q + 11; g = e + 9; h = p + 2; m = w + 19; p = a + 5; w = h + 5; z = x + 7; a = b + 4. If q = 19, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"o": "e + 20", "j": "o + 11", "k": "j + 4", "i": "k + 7", "m": "i + 10", "f": "m + 11", "c": "e + 7", "s": "c + 3", "v": "s + 3", "z": "v + 11", "u": "z + 8", "x": "u + 17", "e": 6}, "premises": {"e": 6}, "target": "f"}, "answer": {"steps": [["m", "i + 10", "i + 21"], ["i", "k + 7", "k + 28"], ["k", "j + 4", "j + 32"], ["j", "o + 11", "o + 43"], ["o", "e + 20", "e + 63"], ["e", 6, "69"]], "target_var_name": "f", "target_value": 69, "value_dict": {"e": 6}, "is_reverse": true}} | 13,979 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = j + 4; o = e + 20; c = e + 7; i = k + 7; x = u + 17; u = z + 8; s = c + 3; f = m + 11; e = 6; j = o + 11; m = i + 10; v = s + 3; z = v + 11. If e = 6, what is the resulting value of f?",
"role": "user"
... | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = i + 10 to f, which gives f = i + 21.\n2. Substitute i = k + 7 to f, which gives f = k + 28.\n3. Substitute k = j + 4 to f, which gives f = j + 32.\n4. Substitute j = o + 11 to f, which gives f = o + 43.\n5. Substitute o = e + 20 to f, which gives f = e + 63.\n6. Substitute e = 6 to f, which gives f = 69.\n\nThus, the final answer is f = \\boxed{69}.",
"index": 13979,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = j + 4; o = e + 20; c = e + 7; i = k + 7; x = u + 17; u = z + 8; s = c + 3; f = m + 11; e = 6; j = o + 11; m = i + 10; v = s + 3; z = v + 11. If e = 6, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"r": "s + 15", "b": "r + 4", "v": "b + 19", "x": "v + 16", "u": "x + 11", "f": "u + 4", "z": "s + 2", "t": "z + 17", "m": "t + 14", "q": "m + 7", "h": "q + 11", "a": "h + 12", "s": 7}, "premises": {"s": 7}, "target": "f"}, "answer": {"steps": [["u", "x + 11", "x + 15"], ["x", "v + 16", "v + 31"], ["v", "b + 19", "b + 50"], ["b", "r + 4", "r + 54"], ["r", "s + 15", "s + 69"], ["s", 7, "76"]], "target_var_name": "f", "target_value": 76, "value_dict": {"s": 7}, "is_reverse": true}} | 13,980 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = 7; a = h + 12; r = s + 15; b = r + 4; f = u + 4; v = b + 19; z = s + 2; m = t + 14; x = v + 16; u = x + 11; h = q + 11; t = z + 17; q = m + 7. Given that s = 7, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = x + 11 to f, which gives f = x + 15.\n2. Substitute x = v + 16 to f, which gives f = v + 31.\n3. Substitute v = b + 19 to f, which gives f = b + 50.\n4. Substitute b = r + 4 to f, which gives f = r + 54.\n5. Substitute r = s + 15 to f, which gives f = s + 69.\n6. Substitute s = 7 to f, which gives f = 76.\n\nThus, the final answer is f = \\boxed{76}.",
"index": 13980,
"question": "Suppose a collection of variables is related by the following definitions: s = 7; a = h + 12; r = s + 15; b = r + 4; f = u + 4; v = b + 19; z = s + 2; m = t + 14; x = v + 16; u = x + 11; h = q + 11; t = z + 17; q = m + 7. Given that s = 7, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"t": "u + 14", "s": "t + 20", "p": "s + 13", "q": "p + 3", "v": "q + 8", "r": "v + 17", "o": "u + 12", "n": "o + 1", "h": "n + 6", "x": "h + 11", "c": "x + 10", "m": "c + 6", "u": 5}, "premises": {"u": 5}, "target": "r"}, "answer": {"steps": [["v", "q + 8", "q + 25"], ["q", "p + 3", "p + 28"], ["p", "s + 13", "s + 41"], ["s", "t + 20", "t + 61"], ["t", "u + 14", "u + 75"], ["u", 5, "80"]], "target_var_name": "r", "target_value": 80, "value_dict": {"u": 5}, "is_reverse": true}} | 13,981 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = v + 17; s = t + 20; v = q + 8; x = h + 11; h = n + 6; t = u + 14; n = o + 1; c = x + 10; p = s + 13; u = 5; o = u + 12; q = p + 3; m = c + 6. If u = 5, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = q + 8 to r, which gives r = q + 25.\n2. Substitute q = p + 3 to r, which gives r = p + 28.\n3. Substitute p = s + 13 to r, which gives r = s + 41.\n4. Substitute s = t + 20 to r, which gives r = t + 61.\n5. Substitute t = u + 14 to r, which gives r = u + 75.\n6. Substitute u = 5 to r, which gives r = 80.\n\nThus, the final answer is r = \\boxed{80}.",
"index": 13981,
"question": "Consider a system of variables where each variable is defined as follows: r = v + 17; s = t + 20; v = q + 8; x = h + 11; h = n + 6; t = u + 14; n = o + 1; c = x + 10; p = s + 13; u = 5; o = u + 12; q = p + 3; m = c + 6. If u = 5, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"q": "g + 10", "x": "q + 2", "u": "x + 20", "j": "u + 17", "m": "j + 12", "d": "m + 7", "e": "g + 7", "f": "e + 5", "h": "f + 19", "i": "h + 13", "k": "i + 7", "l": "k + 2", "g": 6}, "premises": {"g": 6}, "target": "d"}, "answer": {"steps": [["m", "j + 12", "j + 19"], ["j", "u + 17", "u + 36"], ["u", "x + 20", "x + 56"], ["x", "q + 2", "q + 58"], ["q", "g + 10", "g + 68"], ["g", 6, "74"]], "target_var_name": "d", "target_value": 74, "value_dict": {"g": 6}, "is_reverse": true}} | 13,982 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = m + 7; x = q + 2; i = h + 13; k = i + 7; h = f + 19; f = e + 5; m = j + 12; e = g + 7; l = k + 2; q = g + 10; j = u + 17; g = 6; u = x + 20. Given that g = 6, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = j + 12 to d, which gives d = j + 19.\n2. Substitute j = u + 17 to d, which gives d = u + 36.\n3. Substitute u = x + 20 to d, which gives d = x + 56.\n4. Substitute x = q + 2 to d, which gives d = q + 58.\n5. Substitute q = g + 10 to d, which gives d = g + 68.\n6. Substitute g = 6 to d, which gives d = 74.\n\nThus, the final answer is d = \\boxed{74}.",
"index": 13982,
"question": "Suppose a collection of variables is related by the following definitions: d = m + 7; x = q + 2; i = h + 13; k = i + 7; h = f + 19; f = e + 5; m = j + 12; e = g + 7; l = k + 2; q = g + 10; j = u + 17; g = 6; u = x + 20. Given that g = 6, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"d": "o + 10", "k": "d + 9", "h": "k + 17", "n": "h + 7", "y": "n + 11", "r": "y + 18", "u": "o + 9", "t": "u + 11", "a": "t + 15", "g": "a + 3", "q": "g + 11", "s": "q + 18", "o": 19}, "premises": {"o": 19}, "target": "r"}, "answer": {"steps": [["y", "n + 11", "n + 29"], ["n", "h + 7", "h + 36"], ["h", "k + 17", "k + 53"], ["k", "d + 9", "d + 62"], ["d", "o + 10", "o + 72"], ["o", 19, "91"]], "target_var_name": "r", "target_value": 91, "value_dict": {"o": 19}, "is_reverse": true}} | 13,983 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = 19; d = o + 10; q = g + 11; h = k + 17; t = u + 11; n = h + 7; g = a + 3; r = y + 18; y = n + 11; u = o + 9; a = t + 15; k = d + 9; s = q + 18. If o = 19, what is the resulting value of r?",
"role": "us... | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = n + 11 to r, which gives r = n + 29.\n2. Substitute n = h + 7 to r, which gives r = h + 36.\n3. Substitute h = k + 17 to r, which gives r = k + 53.\n4. Substitute k = d + 9 to r, which gives r = d + 62.\n5. Substitute d = o + 10 to r, which gives r = o + 72.\n6. Substitute o = 19 to r, which gives r = 91.\n\nThus, the final answer is r = \\boxed{91}.",
"index": 13983,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = 19; d = o + 10; q = g + 11; h = k + 17; t = u + 11; n = h + 7; g = a + 3; r = y + 18; y = n + 11; u = o + 9; a = t + 15; k = d + 9; s = q + 18. If o = 19, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"g": "k + 10", "c": "g + 9", "q": "c + 17", "h": "q + 13", "f": "h + 2", "y": "f + 13", "v": "k + 13", "t": "v + 19", "m": "t + 8", "b": "m + 10", "s": "b + 3", "l": "s + 4", "k": 9}, "premises": {"k": 9}, "target": "y"}, "answer": {"steps": [["f", "h + 2", "h + 15"], ["h", "q + 13", "q + 28"], ["q", "c + 17", "c + 45"], ["c", "g + 9", "g + 54"], ["g", "k + 10", "k + 64"], ["k", 9, "73"]], "target_var_name": "y", "target_value": 73, "value_dict": {"k": 9}, "is_reverse": true}} | 13,984 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = k + 13; y = f + 13; m = t + 8; k = 9; c = g + 9; l = s + 4; b = m + 10; h = q + 13; f = h + 2; t = v + 19; s = b + 3; g = k + 10; q = c + 17. Given that k = 9, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = h + 2 to y, which gives y = h + 15.\n2. Substitute h = q + 13 to y, which gives y = q + 28.\n3. Substitute q = c + 17 to y, which gives y = c + 45.\n4. Substitute c = g + 9 to y, which gives y = g + 54.\n5. Substitute g = k + 10 to y, which gives y = k + 64.\n6. Substitute k = 9 to y, which gives y = 73.\n\nThus, the final answer is y = \\boxed{73}.",
"index": 13984,
"question": "Suppose a collection of variables is related by the following definitions: v = k + 13; y = f + 13; m = t + 8; k = 9; c = g + 9; l = s + 4; b = m + 10; h = q + 13; f = h + 2; t = v + 19; s = b + 3; g = k + 10; q = c + 17. Given that k = 9, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"b": "g + 13", "o": "b + 20", "s": "o + 9", "e": "s + 17", "n": "e + 4", "r": "n + 4", "l": "g + 1", "j": "l + 19", "c": "j + 15", "v": "c + 20", "k": "v + 7", "w": "k + 14", "g": 7}, "premises": {"g": 7}, "target": "r"}, "answer": {"steps": [["n", "e + 4", "e + 8"], ["e", "s + 17", "s + 25"], ["s", "o + 9", "o + 34"], ["o", "b + 20", "b + 54"], ["b", "g + 13", "g + 67"], ["g", 7, "74"]], "target_var_name": "r", "target_value": 74, "value_dict": {"g": 7}, "is_reverse": true}} | 13,985 | 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; k = v + 7; o = b + 20; e = s + 17; s = o + 9; w = k + 14; v = c + 20; l = g + 1; g = 7; b = g + 13; c = j + 15; j = l + 19; r = n + 4. If g = 7, determine the 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 n = e + 4 to r, which gives r = e + 8.\n2. Substitute e = s + 17 to r, which gives r = s + 25.\n3. Substitute s = o + 9 to r, which gives r = o + 34.\n4. Substitute o = b + 20 to r, which gives r = b + 54.\n5. Substitute b = g + 13 to r, which gives r = g + 67.\n6. Substitute g = 7 to r, which gives r = 74.\n\nThus, the final answer is r = \\boxed{74}.",
"index": 13985,
"question": "Consider a system of variables where each variable is defined as follows: n = e + 4; k = v + 7; o = b + 20; e = s + 17; s = o + 9; w = k + 14; v = c + 20; l = g + 1; g = 7; b = g + 13; c = j + 15; j = l + 19; r = n + 4. If g = 7, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"a": "t + 11", "z": "a + 19", "b": "z + 3", "j": "b + 5", "x": "j + 9", "f": "x + 19", "v": "t + 9", "r": "v + 1", "m": "r + 5", "l": "m + 1", "n": "l + 4", "h": "n + 7", "t": 11}, "premises": {"t": 11}, "target": "f"}, "answer": {"steps": [["x", "j + 9", "j + 28"], ["j", "b + 5", "b + 33"], ["b", "z + 3", "z + 36"], ["z", "a + 19", "a + 55"], ["a", "t + 11", "t + 66"], ["t", 11, "77"]], "target_var_name": "f", "target_value": 77, "value_dict": {"t": 11}, "is_reverse": true}} | 13,986 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = b + 5; t = 11; b = z + 3; n = l + 4; f = x + 19; m = r + 5; v = t + 9; z = a + 19; a = t + 11; r = v + 1; l = m + 1; h = n + 7; x = j + 9. Given that t = 11, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = j + 9 to f, which gives f = j + 28.\n2. Substitute j = b + 5 to f, which gives f = b + 33.\n3. Substitute b = z + 3 to f, which gives f = z + 36.\n4. Substitute z = a + 19 to f, which gives f = a + 55.\n5. Substitute a = t + 11 to f, which gives f = t + 66.\n6. Substitute t = 11 to f, which gives f = 77.\n\nThus, the final answer is f = \\boxed{77}.",
"index": 13986,
"question": "Suppose a collection of variables is related by the following definitions: j = b + 5; t = 11; b = z + 3; n = l + 4; f = x + 19; m = r + 5; v = t + 9; z = a + 19; a = t + 11; r = v + 1; l = m + 1; h = n + 7; x = j + 9. Given that t = 11, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"z": "h + 15", "n": "z + 8", "w": "n + 10", "l": "w + 19", "g": "l + 19", "u": "g + 14", "k": "h + 18", "o": "k + 5", "x": "o + 1", "y": "x + 5", "j": "y + 13", "v": "j + 19", "h": 16}, "premises": {"h": 16}, "target": "u"}, "answer": {"steps": [["g", "l + 19", "l + 33"], ["l", "w + 19", "w + 52"], ["w", "n + 10", "n + 62"], ["n", "z + 8", "z + 70"], ["z", "h + 15", "h + 85"], ["h", 16, "101"]], "target_var_name": "u", "target_value": 101, "value_dict": {"h": 16}, "is_reverse": true}} | 13,987 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = j + 19; w = n + 10; n = z + 8; j = y + 13; u = g + 14; l = w + 19; o = k + 5; h = 16; g = l + 19; z = h + 15; k = h + 18; y = x + 5; x = o + 1. If h = 16, what is the resulting value of u?",
"role": "us... | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = l + 19 to u, which gives u = l + 33.\n2. Substitute l = w + 19 to u, which gives u = w + 52.\n3. Substitute w = n + 10 to u, which gives u = n + 62.\n4. Substitute n = z + 8 to u, which gives u = z + 70.\n5. Substitute z = h + 15 to u, which gives u = h + 85.\n6. Substitute h = 16 to u, which gives u = 101.\n\nThus, the final answer is u = \\boxed{101}.",
"index": 13987,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = j + 19; w = n + 10; n = z + 8; j = y + 13; u = g + 14; l = w + 19; o = k + 5; h = 16; g = l + 19; z = h + 15; k = h + 18; y = x + 5; x = o + 1. If h = 16, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"o": "d + 5", "t": "o + 19", "k": "t + 8", "q": "k + 1", "v": "q + 2", "f": "v + 14", "x": "d + 9", "g": "x + 5", "z": "g + 3", "s": "z + 19", "j": "s + 2", "y": "j + 15", "d": 5}, "premises": {"d": 5}, "target": "f"}, "answer": {"steps": [["v", "q + 2", "q + 16"], ["q", "k + 1", "k + 17"], ["k", "t + 8", "t + 25"], ["t", "o + 19", "o + 44"], ["o", "d + 5", "d + 49"], ["d", 5, "54"]], "target_var_name": "f", "target_value": 54, "value_dict": {"d": 5}, "is_reverse": true}} | 13,988 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = 5; v = q + 2; t = o + 19; f = v + 14; y = j + 15; g = x + 5; s = z + 19; q = k + 1; z = g + 3; j = s + 2; k = t + 8; x = d + 9; o = d + 5. Given that d = 5, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = q + 2 to f, which gives f = q + 16.\n2. Substitute q = k + 1 to f, which gives f = k + 17.\n3. Substitute k = t + 8 to f, which gives f = t + 25.\n4. Substitute t = o + 19 to f, which gives f = o + 44.\n5. Substitute o = d + 5 to f, which gives f = d + 49.\n6. Substitute d = 5 to f, which gives f = 54.\n\nThus, the final answer is f = \\boxed{54}.",
"index": 13988,
"question": "Suppose a collection of variables is related by the following definitions: d = 5; v = q + 2; t = o + 19; f = v + 14; y = j + 15; g = x + 5; s = z + 19; q = k + 1; z = g + 3; j = s + 2; k = t + 8; x = d + 9; o = d + 5. Given that d = 5, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"b": "q + 2", "o": "b + 14", "j": "o + 1", "s": "j + 11", "x": "s + 9", "f": "x + 15", "g": "q + 12", "r": "g + 3", "h": "r + 12", "u": "h + 18", "l": "u + 10", "a": "l + 4", "q": 13}, "premises": {"q": 13}, "target": "f"}, "answer": {"steps": [["x", "s + 9", "s + 24"], ["s", "j + 11", "j + 35"], ["j", "o + 1", "o + 36"], ["o", "b + 14", "b + 50"], ["b", "q + 2", "q + 52"], ["q", 13, "65"]], "target_var_name": "f", "target_value": 65, "value_dict": {"q": 13}, "is_reverse": true}} | 13,989 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = 13; f = x + 15; o = b + 14; r = g + 3; x = s + 9; j = o + 1; b = q + 2; l = u + 10; h = r + 12; g = q + 12; a = l + 4; u = h + 18; s = j + 11. If q = 13, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = s + 9 to f, which gives f = s + 24.\n2. Substitute s = j + 11 to f, which gives f = j + 35.\n3. Substitute j = o + 1 to f, which gives f = o + 36.\n4. Substitute o = b + 14 to f, which gives f = b + 50.\n5. Substitute b = q + 2 to f, which gives f = q + 52.\n6. Substitute q = 13 to f, which gives f = 65.\n\nThus, the final answer is f = \\boxed{65}.",
"index": 13989,
"question": "Consider a system of variables where each variable is defined as follows: q = 13; f = x + 15; o = b + 14; r = g + 3; x = s + 9; j = o + 1; b = q + 2; l = u + 10; h = r + 12; g = q + 12; a = l + 4; u = h + 18; s = j + 11. If q = 13, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"r": "o + 14", "a": "r + 6", "p": "a + 14", "f": "p + 7", "u": "f + 14", "s": "u + 11", "v": "o + 18", "z": "v + 5", "c": "z + 14", "t": "c + 12", "g": "t + 20", "b": "g + 1", "o": 9}, "premises": {"o": 9}, "target": "s"}, "answer": {"steps": [["u", "f + 14", "f + 25"], ["f", "p + 7", "p + 32"], ["p", "a + 14", "a + 46"], ["a", "r + 6", "r + 52"], ["r", "o + 14", "o + 66"], ["o", 9, "75"]], "target_var_name": "s", "target_value": 75, "value_dict": {"o": 9}, "is_reverse": true}} | 13,990 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = o + 18; s = u + 11; u = f + 14; a = r + 6; c = z + 14; g = t + 20; b = g + 1; p = a + 14; z = v + 5; t = c + 12; f = p + 7; o = 9; r = o + 14. If o = 9, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = f + 14 to s, which gives s = f + 25.\n2. Substitute f = p + 7 to s, which gives s = p + 32.\n3. Substitute p = a + 14 to s, which gives s = a + 46.\n4. Substitute a = r + 6 to s, which gives s = r + 52.\n5. Substitute r = o + 14 to s, which gives s = o + 66.\n6. Substitute o = 9 to s, which gives s = 75.\n\nThus, the final answer is s = \\boxed{75}.",
"index": 13990,
"question": "Consider a system of variables where each variable is defined as follows: v = o + 18; s = u + 11; u = f + 14; a = r + 6; c = z + 14; g = t + 20; b = g + 1; p = a + 14; z = v + 5; t = c + 12; f = p + 7; o = 9; r = o + 14. If o = 9, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"t": "z + 7", "k": "t + 18", "g": "k + 18", "o": "g + 10", "b": "o + 7", "n": "b + 3", "d": "z + 18", "q": "d + 3", "i": "q + 10", "e": "i + 16", "y": "e + 3", "c": "y + 17", "z": 10}, "premises": {"z": 10}, "target": "n"}, "answer": {"steps": [["b", "o + 7", "o + 10"], ["o", "g + 10", "g + 20"], ["g", "k + 18", "k + 38"], ["k", "t + 18", "t + 56"], ["t", "z + 7", "z + 63"], ["z", 10, "73"]], "target_var_name": "n", "target_value": 73, "value_dict": {"z": 10}, "is_reverse": true}} | 13,991 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = z + 18; q = d + 3; k = t + 18; n = b + 3; t = z + 7; y = e + 3; z = 10; o = g + 10; i = q + 10; b = o + 7; c = y + 17; e = i + 16; g = k + 18. If z = 10, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = o + 7 to n, which gives n = o + 10.\n2. Substitute o = g + 10 to n, which gives n = g + 20.\n3. Substitute g = k + 18 to n, which gives n = k + 38.\n4. Substitute k = t + 18 to n, which gives n = t + 56.\n5. Substitute t = z + 7 to n, which gives n = z + 63.\n6. Substitute z = 10 to n, which gives n = 73.\n\nThus, the final answer is n = \\boxed{73}.",
"index": 13991,
"question": "Consider a system of variables where each variable is defined as follows: d = z + 18; q = d + 3; k = t + 18; n = b + 3; t = z + 7; y = e + 3; z = 10; o = g + 10; i = q + 10; b = o + 7; c = y + 17; e = i + 16; g = k + 18. If z = 10, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"k": "h + 4", "x": "k + 12", "e": "x + 13", "o": "e + 11", "t": "o + 17", "m": "t + 12", "b": "h + 13", "g": "b + 18", "i": "g + 1", "d": "i + 9", "c": "d + 3", "q": "c + 2", "h": 3}, "premises": {"h": 3}, "target": "m"}, "answer": {"steps": [["t", "o + 17", "o + 29"], ["o", "e + 11", "e + 40"], ["e", "x + 13", "x + 53"], ["x", "k + 12", "k + 65"], ["k", "h + 4", "h + 69"], ["h", 3, "72"]], "target_var_name": "m", "target_value": 72, "value_dict": {"h": 3}, "is_reverse": true}} | 13,992 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = t + 12; k = h + 4; t = o + 17; g = b + 18; d = i + 9; q = c + 2; c = d + 3; e = x + 13; x = k + 12; o = e + 11; h = 3; b = h + 13; i = g + 1. If h = 3, what is the resulting value of m?",
"role": "user"... | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = o + 17 to m, which gives m = o + 29.\n2. Substitute o = e + 11 to m, which gives m = e + 40.\n3. Substitute e = x + 13 to m, which gives m = x + 53.\n4. Substitute x = k + 12 to m, which gives m = k + 65.\n5. Substitute k = h + 4 to m, which gives m = h + 69.\n6. Substitute h = 3 to m, which gives m = 72.\n\nThus, the final answer is m = \\boxed{72}.",
"index": 13992,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = t + 12; k = h + 4; t = o + 17; g = b + 18; d = i + 9; q = c + 2; c = d + 3; e = x + 13; x = k + 12; o = e + 11; h = 3; b = h + 13; i = g + 1. If h = 3, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"l": "d + 13", "n": "l + 5", "y": "n + 19", "q": "y + 5", "j": "q + 11", "f": "j + 7", "g": "d + 11", "b": "g + 16", "k": "b + 20", "o": "k + 19", "h": "o + 7", "m": "h + 10", "d": 18}, "premises": {"d": 18}, "target": "f"}, "answer": {"steps": [["j", "q + 11", "q + 18"], ["q", "y + 5", "y + 23"], ["y", "n + 19", "n + 42"], ["n", "l + 5", "l + 47"], ["l", "d + 13", "d + 60"], ["d", 18, "78"]], "target_var_name": "f", "target_value": 78, "value_dict": {"d": 18}, "is_reverse": true}} | 13,993 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = k + 19; n = l + 5; q = y + 5; f = j + 7; l = d + 13; h = o + 7; m = h + 10; b = g + 16; d = 18; g = d + 11; y = n + 19; k = b + 20; j = q + 11. Given that d = 18, 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 j = q + 11 to f, which gives f = q + 18.\n2. Substitute q = y + 5 to f, which gives f = y + 23.\n3. Substitute y = n + 19 to f, which gives f = n + 42.\n4. Substitute n = l + 5 to f, which gives f = l + 47.\n5. Substitute l = d + 13 to f, which gives f = d + 60.\n6. Substitute d = 18 to f, which gives f = 78.\n\nThus, the final answer is f = \\boxed{78}.",
"index": 13993,
"question": "Suppose a collection of variables is related by the following definitions: o = k + 19; n = l + 5; q = y + 5; f = j + 7; l = d + 13; h = o + 7; m = h + 10; b = g + 16; d = 18; g = d + 11; y = n + 19; k = b + 20; j = q + 11. Given that d = 18, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"v": "a + 12", "e": "v + 7", "f": "e + 19", "g": "f + 14", "i": "g + 9", "z": "i + 4", "u": "a + 19", "p": "u + 13", "r": "p + 10", "c": "r + 2", "t": "c + 12", "j": "t + 5", "a": 13}, "premises": {"a": 13}, "target": "z"}, "answer": {"steps": [["i", "g + 9", "g + 13"], ["g", "f + 14", "f + 27"], ["f", "e + 19", "e + 46"], ["e", "v + 7", "v + 53"], ["v", "a + 12", "a + 65"], ["a", 13, "78"]], "target_var_name": "z", "target_value": 78, "value_dict": {"a": 13}, "is_reverse": true}} | 13,994 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = i + 4; e = v + 7; i = g + 9; t = c + 12; v = a + 12; u = a + 19; g = f + 14; a = 13; f = e + 19; r = p + 10; c = r + 2; p = u + 13; j = t + 5. If a = 13, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = g + 9 to z, which gives z = g + 13.\n2. Substitute g = f + 14 to z, which gives z = f + 27.\n3. Substitute f = e + 19 to z, which gives z = e + 46.\n4. Substitute e = v + 7 to z, which gives z = v + 53.\n5. Substitute v = a + 12 to z, which gives z = a + 65.\n6. Substitute a = 13 to z, which gives z = 78.\n\nThus, the final answer is z = \\boxed{78}.",
"index": 13994,
"question": "Consider a system of variables where each variable is defined as follows: z = i + 4; e = v + 7; i = g + 9; t = c + 12; v = a + 12; u = a + 19; g = f + 14; a = 13; f = e + 19; r = p + 10; c = r + 2; p = u + 13; j = t + 5. If a = 13, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"c": "h + 17", "r": "c + 16", "d": "r + 12", "x": "d + 6", "l": "x + 12", "u": "l + 12", "i": "h + 1", "m": "i + 19", "p": "m + 8", "f": "p + 14", "y": "f + 7", "n": "y + 16", "h": 7}, "premises": {"h": 7}, "target": "u"}, "answer": {"steps": [["l", "x + 12", "x + 24"], ["x", "d + 6", "d + 30"], ["d", "r + 12", "r + 42"], ["r", "c + 16", "c + 58"], ["c", "h + 17", "h + 75"], ["h", 7, "82"]], "target_var_name": "u", "target_value": 82, "value_dict": {"h": 7}, "is_reverse": true}} | 13,995 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = f + 7; c = h + 17; l = x + 12; d = r + 12; x = d + 6; r = c + 16; p = m + 8; f = p + 14; u = l + 12; h = 7; n = y + 16; i = h + 1; m = i + 19. Given that h = 7, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = x + 12 to u, which gives u = x + 24.\n2. Substitute x = d + 6 to u, which gives u = d + 30.\n3. Substitute d = r + 12 to u, which gives u = r + 42.\n4. Substitute r = c + 16 to u, which gives u = c + 58.\n5. Substitute c = h + 17 to u, which gives u = h + 75.\n6. Substitute h = 7 to u, which gives u = 82.\n\nThus, the final answer is u = \\boxed{82}.",
"index": 13995,
"question": "Suppose a collection of variables is related by the following definitions: y = f + 7; c = h + 17; l = x + 12; d = r + 12; x = d + 6; r = c + 16; p = m + 8; f = p + 14; u = l + 12; h = 7; n = y + 16; i = h + 1; m = i + 19. Given that h = 7, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"y": "l + 13", "x": "y + 4", "g": "x + 7", "r": "g + 15", "j": "r + 8", "c": "j + 17", "i": "l + 17", "f": "i + 4", "t": "f + 7", "n": "t + 14", "z": "n + 3", "u": "z + 4", "l": 13}, "premises": {"l": 13}, "target": "c"}, "answer": {"steps": [["j", "r + 8", "r + 25"], ["r", "g + 15", "g + 40"], ["g", "x + 7", "x + 47"], ["x", "y + 4", "y + 51"], ["y", "l + 13", "l + 64"], ["l", 13, "77"]], "target_var_name": "c", "target_value": 77, "value_dict": {"l": 13}, "is_reverse": true}} | 13,996 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = l + 13; u = z + 4; j = r + 8; z = n + 3; x = y + 4; r = g + 15; g = x + 7; f = i + 4; i = l + 17; l = 13; t = f + 7; c = j + 17; n = t + 14. If l = 13, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = r + 8 to c, which gives c = r + 25.\n2. Substitute r = g + 15 to c, which gives c = g + 40.\n3. Substitute g = x + 7 to c, which gives c = x + 47.\n4. Substitute x = y + 4 to c, which gives c = y + 51.\n5. Substitute y = l + 13 to c, which gives c = l + 64.\n6. Substitute l = 13 to c, which gives c = 77.\n\nThus, the final answer is c = \\boxed{77}.",
"index": 13996,
"question": "Consider a system of variables where each variable is defined as follows: y = l + 13; u = z + 4; j = r + 8; z = n + 3; x = y + 4; r = g + 15; g = x + 7; f = i + 4; i = l + 17; l = 13; t = f + 7; c = j + 17; n = t + 14. If l = 13, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"a": "t + 16", "h": "a + 15", "u": "h + 12", "p": "u + 14", "b": "p + 19", "n": "b + 6", "f": "t + 13", "l": "f + 7", "w": "l + 10", "k": "w + 19", "v": "k + 5", "o": "v + 20", "t": 5}, "premises": {"t": 5}, "target": "n"}, "answer": {"steps": [["b", "p + 19", "p + 25"], ["p", "u + 14", "u + 39"], ["u", "h + 12", "h + 51"], ["h", "a + 15", "a + 66"], ["a", "t + 16", "t + 82"], ["t", 5, "87"]], "target_var_name": "n", "target_value": 87, "value_dict": {"t": 5}, "is_reverse": true}} | 13,997 | 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 = t + 13; b = p + 19; k = w + 19; o = v + 20; h = a + 15; t = 5; p = u + 14; u = h + 12; a = t + 16; w = l + 10; n = b + 6; l = f + 7; v = k + 5. If t = 5, what is the resulting value of n?",
"role": "use... | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = p + 19 to n, which gives n = p + 25.\n2. Substitute p = u + 14 to n, which gives n = u + 39.\n3. Substitute u = h + 12 to n, which gives n = h + 51.\n4. Substitute h = a + 15 to n, which gives n = a + 66.\n5. Substitute a = t + 16 to n, which gives n = t + 82.\n6. Substitute t = 5 to n, which gives n = 87.\n\nThus, the final answer is n = \\boxed{87}.",
"index": 13997,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = t + 13; b = p + 19; k = w + 19; o = v + 20; h = a + 15; t = 5; p = u + 14; u = h + 12; a = t + 16; w = l + 10; n = b + 6; l = f + 7; v = k + 5. If t = 5, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"f": "e + 13", "x": "f + 5", "y": "x + 7", "m": "y + 5", "k": "m + 7", "p": "k + 4", "u": "e + 9", "v": "u + 20", "h": "v + 17", "o": "h + 12", "w": "o + 16", "q": "w + 11", "e": 8}, "premises": {"e": 8}, "target": "p"}, "answer": {"steps": [["k", "m + 7", "m + 11"], ["m", "y + 5", "y + 16"], ["y", "x + 7", "x + 23"], ["x", "f + 5", "f + 28"], ["f", "e + 13", "e + 41"], ["e", 8, "49"]], "target_var_name": "p", "target_value": 49, "value_dict": {"e": 8}, "is_reverse": true}} | 13,998 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = x + 7; u = e + 9; f = e + 13; k = m + 7; v = u + 20; p = k + 4; m = y + 5; e = 8; o = h + 12; h = v + 17; q = w + 11; x = f + 5; w = o + 16. If e = 8, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = m + 7 to p, which gives p = m + 11.\n2. Substitute m = y + 5 to p, which gives p = y + 16.\n3. Substitute y = x + 7 to p, which gives p = x + 23.\n4. Substitute x = f + 5 to p, which gives p = f + 28.\n5. Substitute f = e + 13 to p, which gives p = e + 41.\n6. Substitute e = 8 to p, which gives p = 49.\n\nThus, the final answer is p = \\boxed{49}.",
"index": 13998,
"question": "Consider a system of variables where each variable is defined as follows: y = x + 7; u = e + 9; f = e + 13; k = m + 7; v = u + 20; p = k + 4; m = y + 5; e = 8; o = h + 12; h = v + 17; q = w + 11; x = f + 5; w = o + 16. If e = 8, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"f": "o + 1", "u": "f + 15", "t": "u + 16", "d": "t + 2", "b": "d + 3", "l": "b + 2", "m": "o + 3", "p": "m + 8", "r": "p + 16", "q": "r + 4", "n": "q + 16", "v": "n + 13", "o": 19}, "premises": {"o": 19}, "target": "l"}, "answer": {"steps": [["b", "d + 3", "d + 5"], ["d", "t + 2", "t + 7"], ["t", "u + 16", "u + 23"], ["u", "f + 15", "f + 38"], ["f", "o + 1", "o + 39"], ["o", 19, "58"]], "target_var_name": "l", "target_value": 58, "value_dict": {"o": 19}, "is_reverse": true}} | 13,999 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = b + 2; d = t + 2; v = n + 13; n = q + 16; o = 19; p = m + 8; t = u + 16; u = f + 15; b = d + 3; f = o + 1; m = o + 3; q = r + 4; r = p + 16. Given that o = 19, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = d + 3 to l, which gives l = d + 5.\n2. Substitute d = t + 2 to l, which gives l = t + 7.\n3. Substitute t = u + 16 to l, which gives l = u + 23.\n4. Substitute u = f + 15 to l, which gives l = f + 38.\n5. Substitute f = o + 1 to l, which gives l = o + 39.\n6. Substitute o = 19 to l, which gives l = 58.\n\nThus, the final answer is l = \\boxed{58}.",
"index": 13999,
"question": "Suppose a collection of variables is related by the following definitions: l = b + 2; d = t + 2; v = n + 13; n = q + 16; o = 19; p = m + 8; t = u + 16; u = f + 15; b = d + 3; f = o + 1; m = o + 3; q = r + 4; r = p + 16. Given that o = 19, find the value of l.",
"split": "train"
} |
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