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": {"z": "y + 18", "p": "z + 13", "n": "p + 14", "j": "n + 4", "x": "j + 15", "r": "x + 19", "u": "y + 4", "l": "u + 2", "q": "l + 14", "t": "q + 17", "f": "t + 17", "i": "f + 7", "y": 6}, "premises": {"y": 6}, "target": "r"}, "answer": {"steps": [["x", "j + 15", "j + 34"], ["j", "n + 4", "n + 38"], ["n", "p + 14", "p + 52"], ["p", "z + 13", "z + 65"], ["z", "y + 18", "y + 83"], ["y", 6, "89"]], "target_var_name": "r", "target_value": 89, "value_dict": {"y": 6}, "is_reverse": true}} | 7,000 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = j + 15; i = f + 7; z = y + 18; u = y + 4; y = 6; j = n + 4; p = z + 13; n = p + 14; r = x + 19; q = l + 14; t = q + 17; f = t + 17; l = u + 2. If y = 6, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = j + 15 to r, which gives r = j + 34.\n2. Substitute j = n + 4 to r, which gives r = n + 38.\n3. Substitute n = p + 14 to r, which gives r = p + 52.\n4. Substitute p = z + 13 to r, which gives r = z + 65.\n5. Substitute z = y + 18 to r, which gives r = y + 83.\n6. Substitute y = 6 to r, which gives r = 89.\n\nThus, the final answer is r = \\boxed{89}.",
"index": 7000,
"question": "Consider a system of variables where each variable is defined as follows: x = j + 15; i = f + 7; z = y + 18; u = y + 4; y = 6; j = n + 4; p = z + 13; n = p + 14; r = x + 19; q = l + 14; t = q + 17; f = t + 17; l = u + 2. If y = 6, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"c": "o + 18", "f": "c + 4", "l": "f + 17", "a": "l + 13", "w": "a + 18", "z": "w + 19", "s": "o + 5", "k": "s + 19", "y": "k + 13", "q": "y + 17", "b": "q + 19", "e": "b + 20", "o": 18}, "premises": {"o": 18}, "target": "z"}, "answer": {"steps": [["w", "a + 18", "a + 37"], ["a", "l + 13", "l + 50"], ["l", "f + 17", "f + 67"], ["f", "c + 4", "c + 71"], ["c", "o + 18", "o + 89"], ["o", 18, "107"]], "target_var_name": "z", "target_value": 107, "value_dict": {"o": 18}, "is_reverse": true}} | 7,001 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = f + 17; w = a + 18; s = o + 5; k = s + 19; f = c + 4; b = q + 19; a = l + 13; e = b + 20; q = y + 17; y = k + 13; z = w + 19; c = o + 18; o = 18. If o = 18, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 107,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = a + 18 to z, which gives z = a + 37.\n2. Substitute a = l + 13 to z, which gives z = l + 50.\n3. Substitute l = f + 17 to z, which gives z = f + 67.\n4. Substitute f = c + 4 to z, which gives z = c + 71.\n5. Substitute c = o + 18 to z, which gives z = o + 89.\n6. Substitute o = 18 to z, which gives z = 107.\n\nThus, the final answer is z = \\boxed{107}.",
"index": 7001,
"question": "Consider a system of variables where each variable is defined as follows: l = f + 17; w = a + 18; s = o + 5; k = s + 19; f = c + 4; b = q + 19; a = l + 13; e = b + 20; q = y + 17; y = k + 13; z = w + 19; c = o + 18; o = 18. If o = 18, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"k": "r + 1", "h": "k + 17", "e": "h + 13", "b": "e + 6", "p": "b + 15", "n": "p + 10", "x": "r + 15", "c": "x + 8", "i": "c + 19", "y": "i + 14", "w": "y + 7", "q": "w + 3", "r": 2}, "premises": {"r": 2}, "target": "n"}, "answer": {"steps": [["p", "b + 15", "b + 25"], ["b", "e + 6", "e + 31"], ["e", "h + 13", "h + 44"], ["h", "k + 17", "k + 61"], ["k", "r + 1", "r + 62"], ["r", 2, "64"]], "target_var_name": "n", "target_value": 64, "value_dict": {"r": 2}, "is_reverse": true}} | 7,002 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = p + 10; r = 2; i = c + 19; q = w + 3; h = k + 17; e = h + 13; c = x + 8; b = e + 6; x = r + 15; p = b + 15; y = i + 14; w = y + 7; k = r + 1. Given that r = 2, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = b + 15 to n, which gives n = b + 25.\n2. Substitute b = e + 6 to n, which gives n = e + 31.\n3. Substitute e = h + 13 to n, which gives n = h + 44.\n4. Substitute h = k + 17 to n, which gives n = k + 61.\n5. Substitute k = r + 1 to n, which gives n = r + 62.\n6. Substitute r = 2 to n, which gives n = 64.\n\nThus, the final answer is n = \\boxed{64}.",
"index": 7002,
"question": "Suppose a collection of variables is related by the following definitions: n = p + 10; r = 2; i = c + 19; q = w + 3; h = k + 17; e = h + 13; c = x + 8; b = e + 6; x = r + 15; p = b + 15; y = i + 14; w = y + 7; k = r + 1. Given that r = 2, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"c": "e + 3", "l": "c + 5", "a": "l + 16", "z": "a + 5", "m": "z + 8", "k": "m + 11", "o": "e + 11", "g": "o + 1", "t": "g + 14", "u": "t + 1", "v": "u + 15", "w": "v + 3", "e": 10}, "premises": {"e": 10}, "target": "k"}, "answer": {"steps": [["m", "z + 8", "z + 19"], ["z", "a + 5", "a + 24"], ["a", "l + 16", "l + 40"], ["l", "c + 5", "c + 45"], ["c", "e + 3", "e + 48"], ["e", 10, "58"]], "target_var_name": "k", "target_value": 58, "value_dict": {"e": 10}, "is_reverse": true}} | 7,003 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = z + 8; e = 10; a = l + 16; u = t + 1; z = a + 5; t = g + 14; k = m + 11; g = o + 1; v = u + 15; l = c + 5; w = v + 3; o = e + 11; c = e + 3. If e = 10, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = z + 8 to k, which gives k = z + 19.\n2. Substitute z = a + 5 to k, which gives k = a + 24.\n3. Substitute a = l + 16 to k, which gives k = l + 40.\n4. Substitute l = c + 5 to k, which gives k = c + 45.\n5. Substitute c = e + 3 to k, which gives k = e + 48.\n6. Substitute e = 10 to k, which gives k = 58.\n\nThus, the final answer is k = \\boxed{58}.",
"index": 7003,
"question": "Consider a system of variables where each variable is defined as follows: m = z + 8; e = 10; a = l + 16; u = t + 1; z = a + 5; t = g + 14; k = m + 11; g = o + 1; v = u + 15; l = c + 5; w = v + 3; o = e + 11; c = e + 3. If e = 10, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"z": "m + 9", "n": "z + 17", "x": "n + 3", "b": "x + 19", "h": "b + 18", "t": "h + 11", "r": "m + 14", "p": "r + 14", "g": "p + 2", "c": "g + 4", "l": "c + 1", "u": "l + 8", "m": 18}, "premises": {"m": 18}, "target": "t"}, "answer": {"steps": [["h", "b + 18", "b + 29"], ["b", "x + 19", "x + 48"], ["x", "n + 3", "n + 51"], ["n", "z + 17", "z + 68"], ["z", "m + 9", "m + 77"], ["m", 18, "95"]], "target_var_name": "t", "target_value": 95, "value_dict": {"m": 18}, "is_reverse": true}} | 7,004 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = l + 8; t = h + 11; p = r + 14; b = x + 19; x = n + 3; m = 18; r = m + 14; l = c + 1; n = z + 17; c = g + 4; h = b + 18; g = p + 2; z = m + 9. If m = 18, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = b + 18 to t, which gives t = b + 29.\n2. Substitute b = x + 19 to t, which gives t = x + 48.\n3. Substitute x = n + 3 to t, which gives t = n + 51.\n4. Substitute n = z + 17 to t, which gives t = z + 68.\n5. Substitute z = m + 9 to t, which gives t = m + 77.\n6. Substitute m = 18 to t, which gives t = 95.\n\nThus, the final answer is t = \\boxed{95}.",
"index": 7004,
"question": "Consider a system of variables where each variable is defined as follows: u = l + 8; t = h + 11; p = r + 14; b = x + 19; x = n + 3; m = 18; r = m + 14; l = c + 1; n = z + 17; c = g + 4; h = b + 18; g = p + 2; z = m + 9. If m = 18, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"k": "b + 14", "z": "k + 3", "o": "z + 18", "i": "o + 7", "l": "i + 2", "w": "l + 1", "r": "b + 9", "j": "r + 6", "t": "j + 4", "d": "t + 11", "y": "d + 16", "n": "y + 6", "b": 20}, "premises": {"b": 20}, "target": "w"}, "answer": {"steps": [["l", "i + 2", "i + 3"], ["i", "o + 7", "o + 10"], ["o", "z + 18", "z + 28"], ["z", "k + 3", "k + 31"], ["k", "b + 14", "b + 45"], ["b", 20, "65"]], "target_var_name": "w", "target_value": 65, "value_dict": {"b": 20}, "is_reverse": true}} | 7,005 | 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 = d + 16; w = l + 1; n = y + 6; k = b + 14; z = k + 3; i = o + 7; l = i + 2; t = j + 4; d = t + 11; o = z + 18; b = 20; r = b + 9; j = r + 6. If b = 20, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = i + 2 to w, which gives w = i + 3.\n2. Substitute i = o + 7 to w, which gives w = o + 10.\n3. Substitute o = z + 18 to w, which gives w = z + 28.\n4. Substitute z = k + 3 to w, which gives w = k + 31.\n5. Substitute k = b + 14 to w, which gives w = b + 45.\n6. Substitute b = 20 to w, which gives w = 65.\n\nThus, the final answer is w = \\boxed{65}.",
"index": 7005,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = d + 16; w = l + 1; n = y + 6; k = b + 14; z = k + 3; i = o + 7; l = i + 2; t = j + 4; d = t + 11; o = z + 18; b = 20; r = b + 9; j = r + 6. If b = 20, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"b": "u + 9", "v": "b + 7", "r": "v + 16", "q": "r + 5", "s": "q + 8", "w": "s + 12", "m": "u + 19", "y": "m + 5", "a": "y + 3", "k": "a + 1", "f": "k + 17", "h": "f + 1", "u": 11}, "premises": {"u": 11}, "target": "w"}, "answer": {"steps": [["s", "q + 8", "q + 20"], ["q", "r + 5", "r + 25"], ["r", "v + 16", "v + 41"], ["v", "b + 7", "b + 48"], ["b", "u + 9", "u + 57"], ["u", 11, "68"]], "target_var_name": "w", "target_value": 68, "value_dict": {"u": 11}, "is_reverse": true}} | 7,006 | 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 = b + 7; b = u + 9; q = r + 5; u = 11; y = m + 5; a = y + 3; m = u + 19; f = k + 17; h = f + 1; k = a + 1; s = q + 8; w = s + 12; r = v + 16. If u = 11, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = q + 8 to w, which gives w = q + 20.\n2. Substitute q = r + 5 to w, which gives w = r + 25.\n3. Substitute r = v + 16 to w, which gives w = v + 41.\n4. Substitute v = b + 7 to w, which gives w = b + 48.\n5. Substitute b = u + 9 to w, which gives w = u + 57.\n6. Substitute u = 11 to w, which gives w = 68.\n\nThus, the final answer is w = \\boxed{68}.",
"index": 7006,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = b + 7; b = u + 9; q = r + 5; u = 11; y = m + 5; a = y + 3; m = u + 19; f = k + 17; h = f + 1; k = a + 1; s = q + 8; w = s + 12; r = v + 16. If u = 11, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"j": "x + 19", "h": "j + 12", "v": "h + 19", "f": "v + 8", "k": "f + 19", "l": "k + 4", "p": "x + 2", "a": "p + 11", "y": "a + 7", "z": "y + 14", "g": "z + 6", "r": "g + 20", "x": 18}, "premises": {"x": 18}, "target": "l"}, "answer": {"steps": [["k", "f + 19", "f + 23"], ["f", "v + 8", "v + 31"], ["v", "h + 19", "h + 50"], ["h", "j + 12", "j + 62"], ["j", "x + 19", "x + 81"], ["x", 18, "99"]], "target_var_name": "l", "target_value": 99, "value_dict": {"x": 18}, "is_reverse": true}} | 7,007 | 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 = p + 11; r = g + 20; j = x + 19; y = a + 7; g = z + 6; p = x + 2; f = v + 8; h = j + 12; z = y + 14; k = f + 19; v = h + 19; l = k + 4; x = 18. If x = 18, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = f + 19 to l, which gives l = f + 23.\n2. Substitute f = v + 8 to l, which gives l = v + 31.\n3. Substitute v = h + 19 to l, which gives l = h + 50.\n4. Substitute h = j + 12 to l, which gives l = j + 62.\n5. Substitute j = x + 19 to l, which gives l = x + 81.\n6. Substitute x = 18 to l, which gives l = 99.\n\nThus, the final answer is l = \\boxed{99}.",
"index": 7007,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = p + 11; r = g + 20; j = x + 19; y = a + 7; g = z + 6; p = x + 2; f = v + 8; h = j + 12; z = y + 14; k = f + 19; v = h + 19; l = k + 4; x = 18. If x = 18, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"t": "s + 6", "y": "t + 1", "d": "y + 14", "a": "d + 1", "u": "a + 18", "c": "u + 12", "l": "s + 2", "j": "l + 15", "g": "j + 10", "r": "g + 16", "x": "r + 7", "w": "x + 3", "s": 4}, "premises": {"s": 4}, "target": "c"}, "answer": {"steps": [["u", "a + 18", "a + 30"], ["a", "d + 1", "d + 31"], ["d", "y + 14", "y + 45"], ["y", "t + 1", "t + 46"], ["t", "s + 6", "s + 52"], ["s", 4, "56"]], "target_var_name": "c", "target_value": 56, "value_dict": {"s": 4}, "is_reverse": true}} | 7,008 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = l + 15; g = j + 10; s = 4; x = r + 7; l = s + 2; c = u + 12; a = d + 1; y = t + 1; d = y + 14; t = s + 6; u = a + 18; w = x + 3; r = g + 16. If s = 4, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = a + 18 to c, which gives c = a + 30.\n2. Substitute a = d + 1 to c, which gives c = d + 31.\n3. Substitute d = y + 14 to c, which gives c = y + 45.\n4. Substitute y = t + 1 to c, which gives c = t + 46.\n5. Substitute t = s + 6 to c, which gives c = s + 52.\n6. Substitute s = 4 to c, which gives c = 56.\n\nThus, the final answer is c = \\boxed{56}.",
"index": 7008,
"question": "Consider a system of variables where each variable is defined as follows: j = l + 15; g = j + 10; s = 4; x = r + 7; l = s + 2; c = u + 12; a = d + 1; y = t + 1; d = y + 14; t = s + 6; u = a + 18; w = x + 3; r = g + 16. If s = 4, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"e": "a + 7", "v": "e + 1", "h": "v + 11", "f": "h + 20", "c": "f + 6", "w": "c + 2", "q": "a + 18", "d": "q + 13", "z": "d + 6", "s": "z + 17", "p": "s + 16", "j": "p + 12", "a": 6}, "premises": {"a": 6}, "target": "w"}, "answer": {"steps": [["c", "f + 6", "f + 8"], ["f", "h + 20", "h + 28"], ["h", "v + 11", "v + 39"], ["v", "e + 1", "e + 40"], ["e", "a + 7", "a + 47"], ["a", 6, "53"]], "target_var_name": "w", "target_value": 53, "value_dict": {"a": 6}, "is_reverse": true}} | 7,009 | 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 = p + 12; z = d + 6; w = c + 2; q = a + 18; c = f + 6; f = h + 20; d = q + 13; p = s + 16; h = v + 11; v = e + 1; s = z + 17; a = 6; e = a + 7. If a = 6, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = f + 6 to w, which gives w = f + 8.\n2. Substitute f = h + 20 to w, which gives w = h + 28.\n3. Substitute h = v + 11 to w, which gives w = v + 39.\n4. Substitute v = e + 1 to w, which gives w = e + 40.\n5. Substitute e = a + 7 to w, which gives w = a + 47.\n6. Substitute a = 6 to w, which gives w = 53.\n\nThus, the final answer is w = \\boxed{53}.",
"index": 7009,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = p + 12; z = d + 6; w = c + 2; q = a + 18; c = f + 6; f = h + 20; d = q + 13; p = s + 16; h = v + 11; v = e + 1; s = z + 17; a = 6; e = a + 7. If a = 6, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"b": "m + 19", "v": "b + 5", "s": "v + 11", "u": "s + 19", "y": "u + 18", "k": "y + 12", "c": "m + 20", "o": "c + 10", "w": "o + 5", "h": "w + 20", "x": "h + 12", "l": "x + 19", "m": 13}, "premises": {"m": 13}, "target": "k"}, "answer": {"steps": [["y", "u + 18", "u + 30"], ["u", "s + 19", "s + 49"], ["s", "v + 11", "v + 60"], ["v", "b + 5", "b + 65"], ["b", "m + 19", "m + 84"], ["m", 13, "97"]], "target_var_name": "k", "target_value": 97, "value_dict": {"m": 13}, "is_reverse": true}} | 7,010 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = w + 20; o = c + 10; k = y + 12; s = v + 11; y = u + 18; b = m + 19; m = 13; w = o + 5; c = m + 20; u = s + 19; l = x + 19; v = b + 5; x = h + 12. Given that m = 13, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = u + 18 to k, which gives k = u + 30.\n2. Substitute u = s + 19 to k, which gives k = s + 49.\n3. Substitute s = v + 11 to k, which gives k = v + 60.\n4. Substitute v = b + 5 to k, which gives k = b + 65.\n5. Substitute b = m + 19 to k, which gives k = m + 84.\n6. Substitute m = 13 to k, which gives k = 97.\n\nThus, the final answer is k = \\boxed{97}.",
"index": 7010,
"question": "Suppose a collection of variables is related by the following definitions: h = w + 20; o = c + 10; k = y + 12; s = v + 11; y = u + 18; b = m + 19; m = 13; w = o + 5; c = m + 20; u = s + 19; l = x + 19; v = b + 5; x = h + 12. Given that m = 13, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"k": "c + 12", "w": "k + 5", "o": "w + 13", "e": "o + 17", "g": "e + 13", "p": "g + 9", "f": "c + 10", "d": "f + 16", "x": "d + 18", "i": "x + 16", "m": "i + 7", "q": "m + 2", "c": 15}, "premises": {"c": 15}, "target": "p"}, "answer": {"steps": [["g", "e + 13", "e + 22"], ["e", "o + 17", "o + 39"], ["o", "w + 13", "w + 52"], ["w", "k + 5", "k + 57"], ["k", "c + 12", "c + 69"], ["c", 15, "84"]], "target_var_name": "p", "target_value": 84, "value_dict": {"c": 15}, "is_reverse": true}} | 7,011 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = g + 9; w = k + 5; k = c + 12; x = d + 18; i = x + 16; f = c + 10; e = o + 17; g = e + 13; d = f + 16; m = i + 7; c = 15; o = w + 13; q = m + 2. If c = 15, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = e + 13 to p, which gives p = e + 22.\n2. Substitute e = o + 17 to p, which gives p = o + 39.\n3. Substitute o = w + 13 to p, which gives p = w + 52.\n4. Substitute w = k + 5 to p, which gives p = k + 57.\n5. Substitute k = c + 12 to p, which gives p = c + 69.\n6. Substitute c = 15 to p, which gives p = 84.\n\nThus, the final answer is p = \\boxed{84}.",
"index": 7011,
"question": "Consider a system of variables where each variable is defined as follows: p = g + 9; w = k + 5; k = c + 12; x = d + 18; i = x + 16; f = c + 10; e = o + 17; g = e + 13; d = f + 16; m = i + 7; c = 15; o = w + 13; q = m + 2. If c = 15, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"v": "t + 14", "q": "v + 17", "l": "q + 12", "e": "l + 8", "p": "e + 3", "f": "p + 10", "d": "t + 2", "c": "d + 20", "n": "c + 18", "h": "n + 11", "r": "h + 1", "j": "r + 5", "t": 8}, "premises": {"t": 8}, "target": "f"}, "answer": {"steps": [["p", "e + 3", "e + 13"], ["e", "l + 8", "l + 21"], ["l", "q + 12", "q + 33"], ["q", "v + 17", "v + 50"], ["v", "t + 14", "t + 64"], ["t", 8, "72"]], "target_var_name": "f", "target_value": 72, "value_dict": {"t": 8}, "is_reverse": true}} | 7,012 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = c + 18; d = t + 2; f = p + 10; l = q + 12; e = l + 8; q = v + 17; p = e + 3; j = r + 5; c = d + 20; r = h + 1; t = 8; h = n + 11; v = t + 14. Given that t = 8, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = e + 3 to f, which gives f = e + 13.\n2. Substitute e = l + 8 to f, which gives f = l + 21.\n3. Substitute l = q + 12 to f, which gives f = q + 33.\n4. Substitute q = v + 17 to f, which gives f = v + 50.\n5. Substitute v = t + 14 to f, which gives f = t + 64.\n6. Substitute t = 8 to f, which gives f = 72.\n\nThus, the final answer is f = \\boxed{72}.",
"index": 7012,
"question": "Suppose a collection of variables is related by the following definitions: n = c + 18; d = t + 2; f = p + 10; l = q + 12; e = l + 8; q = v + 17; p = e + 3; j = r + 5; c = d + 20; r = h + 1; t = 8; h = n + 11; v = t + 14. Given that t = 8, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"c": "b + 14", "e": "c + 4", "z": "e + 15", "j": "z + 5", "a": "j + 14", "o": "a + 17", "l": "b + 20", "w": "l + 16", "t": "w + 7", "k": "t + 12", "s": "k + 11", "i": "s + 1", "b": 19}, "premises": {"b": 19}, "target": "o"}, "answer": {"steps": [["a", "j + 14", "j + 31"], ["j", "z + 5", "z + 36"], ["z", "e + 15", "e + 51"], ["e", "c + 4", "c + 55"], ["c", "b + 14", "b + 69"], ["b", 19, "88"]], "target_var_name": "o", "target_value": 88, "value_dict": {"b": 19}, "is_reverse": true}} | 7,013 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = t + 12; c = b + 14; j = z + 5; s = k + 11; o = a + 17; b = 19; z = e + 15; w = l + 16; e = c + 4; a = j + 14; t = w + 7; l = b + 20; i = s + 1. If b = 19, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = j + 14 to o, which gives o = j + 31.\n2. Substitute j = z + 5 to o, which gives o = z + 36.\n3. Substitute z = e + 15 to o, which gives o = e + 51.\n4. Substitute e = c + 4 to o, which gives o = c + 55.\n5. Substitute c = b + 14 to o, which gives o = b + 69.\n6. Substitute b = 19 to o, which gives o = 88.\n\nThus, the final answer is o = \\boxed{88}.",
"index": 7013,
"question": "Consider a system of variables where each variable is defined as follows: k = t + 12; c = b + 14; j = z + 5; s = k + 11; o = a + 17; b = 19; z = e + 15; w = l + 16; e = c + 4; a = j + 14; t = w + 7; l = b + 20; i = s + 1. If b = 19, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"s": "f + 19", "h": "s + 9", "d": "h + 16", "q": "d + 13", "j": "q + 15", "l": "j + 14", "e": "f + 19", "u": "e + 5", "g": "u + 1", "o": "g + 14", "m": "o + 1", "n": "m + 18", "f": 11}, "premises": {"f": 11}, "target": "l"}, "answer": {"steps": [["j", "q + 15", "q + 29"], ["q", "d + 13", "d + 42"], ["d", "h + 16", "h + 58"], ["h", "s + 9", "s + 67"], ["s", "f + 19", "f + 86"], ["f", 11, "97"]], "target_var_name": "l", "target_value": 97, "value_dict": {"f": 11}, "is_reverse": true}} | 7,014 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = 11; n = m + 18; l = j + 14; g = u + 1; m = o + 1; o = g + 14; j = q + 15; d = h + 16; h = s + 9; s = f + 19; e = f + 19; u = e + 5; q = d + 13. If f = 11, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = q + 15 to l, which gives l = q + 29.\n2. Substitute q = d + 13 to l, which gives l = d + 42.\n3. Substitute d = h + 16 to l, which gives l = h + 58.\n4. Substitute h = s + 9 to l, which gives l = s + 67.\n5. Substitute s = f + 19 to l, which gives l = f + 86.\n6. Substitute f = 11 to l, which gives l = 97.\n\nThus, the final answer is l = \\boxed{97}.",
"index": 7014,
"question": "Consider a system of variables where each variable is defined as follows: f = 11; n = m + 18; l = j + 14; g = u + 1; m = o + 1; o = g + 14; j = q + 15; d = h + 16; h = s + 9; s = f + 19; e = f + 19; u = e + 5; q = d + 13. If f = 11, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"m": "q + 19", "k": "m + 15", "w": "k + 14", "f": "w + 1", "u": "f + 15", "j": "u + 3", "a": "q + 5", "x": "a + 3", "d": "x + 11", "o": "d + 10", "y": "o + 12", "s": "y + 13", "q": 3}, "premises": {"q": 3}, "target": "j"}, "answer": {"steps": [["u", "f + 15", "f + 18"], ["f", "w + 1", "w + 19"], ["w", "k + 14", "k + 33"], ["k", "m + 15", "m + 48"], ["m", "q + 19", "q + 67"], ["q", 3, "70"]], "target_var_name": "j", "target_value": 70, "value_dict": {"q": 3}, "is_reverse": true}} | 7,015 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = y + 13; a = q + 5; w = k + 14; k = m + 15; d = x + 11; m = q + 19; x = a + 3; o = d + 10; u = f + 15; y = o + 12; j = u + 3; q = 3; f = w + 1. Given that q = 3, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = f + 15 to j, which gives j = f + 18.\n2. Substitute f = w + 1 to j, which gives j = w + 19.\n3. Substitute w = k + 14 to j, which gives j = k + 33.\n4. Substitute k = m + 15 to j, which gives j = m + 48.\n5. Substitute m = q + 19 to j, which gives j = q + 67.\n6. Substitute q = 3 to j, which gives j = 70.\n\nThus, the final answer is j = \\boxed{70}.",
"index": 7015,
"question": "Suppose a collection of variables is related by the following definitions: s = y + 13; a = q + 5; w = k + 14; k = m + 15; d = x + 11; m = q + 19; x = a + 3; o = d + 10; u = f + 15; y = o + 12; j = u + 3; q = 3; f = w + 1. Given that q = 3, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"n": "e + 1", "u": "n + 4", "p": "u + 15", "h": "p + 6", "r": "h + 16", "b": "r + 10", "t": "e + 6", "s": "t + 7", "l": "s + 14", "k": "l + 20", "a": "k + 13", "j": "a + 4", "e": 18}, "premises": {"e": 18}, "target": "b"}, "answer": {"steps": [["r", "h + 16", "h + 26"], ["h", "p + 6", "p + 32"], ["p", "u + 15", "u + 47"], ["u", "n + 4", "n + 51"], ["n", "e + 1", "e + 52"], ["e", 18, "70"]], "target_var_name": "b", "target_value": 70, "value_dict": {"e": 18}, "is_reverse": true}} | 7,016 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = l + 20; b = r + 10; t = e + 6; e = 18; u = n + 4; j = a + 4; l = s + 14; a = k + 13; p = u + 15; n = e + 1; r = h + 16; h = p + 6; s = t + 7. Given that e = 18, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = h + 16 to b, which gives b = h + 26.\n2. Substitute h = p + 6 to b, which gives b = p + 32.\n3. Substitute p = u + 15 to b, which gives b = u + 47.\n4. Substitute u = n + 4 to b, which gives b = n + 51.\n5. Substitute n = e + 1 to b, which gives b = e + 52.\n6. Substitute e = 18 to b, which gives b = 70.\n\nThus, the final answer is b = \\boxed{70}.",
"index": 7016,
"question": "Suppose a collection of variables is related by the following definitions: k = l + 20; b = r + 10; t = e + 6; e = 18; u = n + 4; j = a + 4; l = s + 14; a = k + 13; p = u + 15; n = e + 1; r = h + 16; h = p + 6; s = t + 7. Given that e = 18, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"s": "i + 11", "f": "s + 1", "x": "f + 20", "m": "x + 20", "b": "m + 19", "k": "b + 13", "q": "i + 7", "y": "q + 5", "w": "y + 3", "l": "w + 5", "h": "l + 13", "v": "h + 5", "i": 6}, "premises": {"i": 6}, "target": "k"}, "answer": {"steps": [["b", "m + 19", "m + 32"], ["m", "x + 20", "x + 52"], ["x", "f + 20", "f + 72"], ["f", "s + 1", "s + 73"], ["s", "i + 11", "i + 84"], ["i", 6, "90"]], "target_var_name": "k", "target_value": 90, "value_dict": {"i": 6}, "is_reverse": true}} | 7,017 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = m + 19; k = b + 13; i = 6; q = i + 7; w = y + 3; s = i + 11; l = w + 5; x = f + 20; v = h + 5; m = x + 20; f = s + 1; h = l + 13; y = q + 5. Given that i = 6, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = m + 19 to k, which gives k = m + 32.\n2. Substitute m = x + 20 to k, which gives k = x + 52.\n3. Substitute x = f + 20 to k, which gives k = f + 72.\n4. Substitute f = s + 1 to k, which gives k = s + 73.\n5. Substitute s = i + 11 to k, which gives k = i + 84.\n6. Substitute i = 6 to k, which gives k = 90.\n\nThus, the final answer is k = \\boxed{90}.",
"index": 7017,
"question": "Suppose a collection of variables is related by the following definitions: b = m + 19; k = b + 13; i = 6; q = i + 7; w = y + 3; s = i + 11; l = w + 5; x = f + 20; v = h + 5; m = x + 20; f = s + 1; h = l + 13; y = q + 5. Given that i = 6, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"x": "e + 6", "h": "x + 3", "n": "h + 12", "y": "n + 19", "r": "y + 13", "l": "r + 10", "z": "e + 1", "c": "z + 11", "p": "c + 11", "f": "p + 8", "s": "f + 5", "w": "s + 4", "e": 8}, "premises": {"e": 8}, "target": "l"}, "answer": {"steps": [["r", "y + 13", "y + 23"], ["y", "n + 19", "n + 42"], ["n", "h + 12", "h + 54"], ["h", "x + 3", "x + 57"], ["x", "e + 6", "e + 63"], ["e", 8, "71"]], "target_var_name": "l", "target_value": 71, "value_dict": {"e": 8}, "is_reverse": true}} | 7,018 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = e + 1; e = 8; h = x + 3; c = z + 11; y = n + 19; l = r + 10; p = c + 11; n = h + 12; x = e + 6; r = y + 13; s = f + 5; w = s + 4; f = p + 8. Given that e = 8, find 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 r = y + 13 to l, which gives l = y + 23.\n2. Substitute y = n + 19 to l, which gives l = n + 42.\n3. Substitute n = h + 12 to l, which gives l = h + 54.\n4. Substitute h = x + 3 to l, which gives l = x + 57.\n5. Substitute x = e + 6 to l, which gives l = e + 63.\n6. Substitute e = 8 to l, which gives l = 71.\n\nThus, the final answer is l = \\boxed{71}.",
"index": 7018,
"question": "Suppose a collection of variables is related by the following definitions: z = e + 1; e = 8; h = x + 3; c = z + 11; y = n + 19; l = r + 10; p = c + 11; n = h + 12; x = e + 6; r = y + 13; s = f + 5; w = s + 4; f = p + 8. Given that e = 8, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"h": "z + 8", "p": "h + 3", "b": "p + 15", "x": "b + 19", "l": "x + 18", "i": "l + 17", "m": "z + 2", "e": "m + 3", "n": "e + 20", "t": "n + 1", "s": "t + 2", "c": "s + 6", "z": 16}, "premises": {"z": 16}, "target": "i"}, "answer": {"steps": [["l", "x + 18", "x + 35"], ["x", "b + 19", "b + 54"], ["b", "p + 15", "p + 69"], ["p", "h + 3", "h + 72"], ["h", "z + 8", "z + 80"], ["z", 16, "96"]], "target_var_name": "i", "target_value": 96, "value_dict": {"z": 16}, "is_reverse": true}} | 7,019 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = m + 3; z = 16; c = s + 6; l = x + 18; n = e + 20; t = n + 1; b = p + 15; s = t + 2; m = z + 2; i = l + 17; p = h + 3; h = z + 8; x = b + 19. If z = 16, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = x + 18 to i, which gives i = x + 35.\n2. Substitute x = b + 19 to i, which gives i = b + 54.\n3. Substitute b = p + 15 to i, which gives i = p + 69.\n4. Substitute p = h + 3 to i, which gives i = h + 72.\n5. Substitute h = z + 8 to i, which gives i = z + 80.\n6. Substitute z = 16 to i, which gives i = 96.\n\nThus, the final answer is i = \\boxed{96}.",
"index": 7019,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = m + 3; z = 16; c = s + 6; l = x + 18; n = e + 20; t = n + 1; b = p + 15; s = t + 2; m = z + 2; i = l + 17; p = h + 3; h = z + 8; x = b + 19. If z = 16, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"g": "v + 10", "f": "g + 9", "l": "f + 13", "s": "l + 20", "j": "s + 12", "z": "j + 4", "u": "v + 17", "o": "u + 18", "c": "o + 5", "n": "c + 8", "a": "n + 14", "t": "a + 8", "v": 7}, "premises": {"v": 7}, "target": "z"}, "answer": {"steps": [["j", "s + 12", "s + 16"], ["s", "l + 20", "l + 36"], ["l", "f + 13", "f + 49"], ["f", "g + 9", "g + 58"], ["g", "v + 10", "v + 68"], ["v", 7, "75"]], "target_var_name": "z", "target_value": 75, "value_dict": {"v": 7}, "is_reverse": true}} | 7,020 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = u + 18; c = o + 5; f = g + 9; s = l + 20; t = a + 8; u = v + 17; j = s + 12; z = j + 4; a = n + 14; l = f + 13; v = 7; n = c + 8; g = v + 10. If v = 7, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = s + 12 to z, which gives z = s + 16.\n2. Substitute s = l + 20 to z, which gives z = l + 36.\n3. Substitute l = f + 13 to z, which gives z = f + 49.\n4. Substitute f = g + 9 to z, which gives z = g + 58.\n5. Substitute g = v + 10 to z, which gives z = v + 68.\n6. Substitute v = 7 to z, which gives z = 75.\n\nThus, the final answer is z = \\boxed{75}.",
"index": 7020,
"question": "Consider a system of variables where each variable is defined as follows: o = u + 18; c = o + 5; f = g + 9; s = l + 20; t = a + 8; u = v + 17; j = s + 12; z = j + 4; a = n + 14; l = f + 13; v = 7; n = c + 8; g = v + 10. If v = 7, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"m": "j + 14", "p": "m + 7", "w": "p + 11", "e": "w + 7", "t": "e + 17", "y": "t + 2", "n": "j + 1", "z": "n + 14", "l": "z + 3", "s": "l + 15", "d": "s + 4", "c": "d + 8", "j": 6}, "premises": {"j": 6}, "target": "y"}, "answer": {"steps": [["t", "e + 17", "e + 19"], ["e", "w + 7", "w + 26"], ["w", "p + 11", "p + 37"], ["p", "m + 7", "m + 44"], ["m", "j + 14", "j + 58"], ["j", 6, "64"]], "target_var_name": "y", "target_value": 64, "value_dict": {"j": 6}, "is_reverse": true}} | 7,021 | 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 = t + 2; c = d + 8; t = e + 17; n = j + 1; w = p + 11; j = 6; l = z + 3; d = s + 4; m = j + 14; e = w + 7; p = m + 7; z = n + 14; s = l + 15. If j = 6, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = e + 17 to y, which gives y = e + 19.\n2. Substitute e = w + 7 to y, which gives y = w + 26.\n3. Substitute w = p + 11 to y, which gives y = p + 37.\n4. Substitute p = m + 7 to y, which gives y = m + 44.\n5. Substitute m = j + 14 to y, which gives y = j + 58.\n6. Substitute j = 6 to y, which gives y = 64.\n\nThus, the final answer is y = \\boxed{64}.",
"index": 7021,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = t + 2; c = d + 8; t = e + 17; n = j + 1; w = p + 11; j = 6; l = z + 3; d = s + 4; m = j + 14; e = w + 7; p = m + 7; z = n + 14; s = l + 15. If j = 6, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"p": "k + 20", "o": "p + 4", "e": "o + 17", "x": "e + 9", "l": "x + 19", "j": "l + 18", "h": "k + 11", "f": "h + 2", "w": "f + 12", "d": "w + 5", "m": "d + 5", "z": "m + 20", "k": 16}, "premises": {"k": 16}, "target": "j"}, "answer": {"steps": [["l", "x + 19", "x + 37"], ["x", "e + 9", "e + 46"], ["e", "o + 17", "o + 63"], ["o", "p + 4", "p + 67"], ["p", "k + 20", "k + 87"], ["k", 16, "103"]], "target_var_name": "j", "target_value": 103, "value_dict": {"k": 16}, "is_reverse": true}} | 7,022 | 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 = h + 2; j = l + 18; p = k + 20; m = d + 5; z = m + 20; h = k + 11; l = x + 19; x = e + 9; w = f + 12; o = p + 4; e = o + 17; d = w + 5; k = 16. If k = 16, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 103,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = x + 19 to j, which gives j = x + 37.\n2. Substitute x = e + 9 to j, which gives j = e + 46.\n3. Substitute e = o + 17 to j, which gives j = o + 63.\n4. Substitute o = p + 4 to j, which gives j = p + 67.\n5. Substitute p = k + 20 to j, which gives j = k + 87.\n6. Substitute k = 16 to j, which gives j = 103.\n\nThus, the final answer is j = \\boxed{103}.",
"index": 7022,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = h + 2; j = l + 18; p = k + 20; m = d + 5; z = m + 20; h = k + 11; l = x + 19; x = e + 9; w = f + 12; o = p + 4; e = o + 17; d = w + 5; k = 16. If k = 16, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"k": "t + 11", "y": "k + 6", "g": "y + 4", "c": "g + 4", "h": "c + 4", "u": "h + 18", "r": "t + 8", "b": "r + 12", "a": "b + 1", "j": "a + 20", "d": "j + 2", "v": "d + 2", "t": 18}, "premises": {"t": 18}, "target": "u"}, "answer": {"steps": [["h", "c + 4", "c + 22"], ["c", "g + 4", "g + 26"], ["g", "y + 4", "y + 30"], ["y", "k + 6", "k + 36"], ["k", "t + 11", "t + 47"], ["t", 18, "65"]], "target_var_name": "u", "target_value": 65, "value_dict": {"t": 18}, "is_reverse": true}} | 7,023 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = t + 8; k = t + 11; c = g + 4; j = a + 20; b = r + 12; v = d + 2; a = b + 1; u = h + 18; h = c + 4; t = 18; g = y + 4; d = j + 2; y = k + 6. If t = 18, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = c + 4 to u, which gives u = c + 22.\n2. Substitute c = g + 4 to u, which gives u = g + 26.\n3. Substitute g = y + 4 to u, which gives u = y + 30.\n4. Substitute y = k + 6 to u, which gives u = k + 36.\n5. Substitute k = t + 11 to u, which gives u = t + 47.\n6. Substitute t = 18 to u, which gives u = 65.\n\nThus, the final answer is u = \\boxed{65}.",
"index": 7023,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = t + 8; k = t + 11; c = g + 4; j = a + 20; b = r + 12; v = d + 2; a = b + 1; u = h + 18; h = c + 4; t = 18; g = y + 4; d = j + 2; y = k + 6. If t = 18, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"x": "a + 14", "s": "x + 20", "d": "s + 11", "c": "d + 19", "w": "c + 10", "p": "w + 8", "z": "a + 17", "v": "z + 5", "q": "v + 19", "m": "q + 13", "j": "m + 8", "i": "j + 19", "a": 17}, "premises": {"a": 17}, "target": "p"}, "answer": {"steps": [["w", "c + 10", "c + 18"], ["c", "d + 19", "d + 37"], ["d", "s + 11", "s + 48"], ["s", "x + 20", "x + 68"], ["x", "a + 14", "a + 82"], ["a", 17, "99"]], "target_var_name": "p", "target_value": 99, "value_dict": {"a": 17}, "is_reverse": true}} | 7,024 | 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 = 17; d = s + 11; q = v + 19; c = d + 19; s = x + 20; w = c + 10; v = z + 5; x = a + 14; p = w + 8; i = j + 19; j = m + 8; z = a + 17; m = q + 13. If a = 17, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = c + 10 to p, which gives p = c + 18.\n2. Substitute c = d + 19 to p, which gives p = d + 37.\n3. Substitute d = s + 11 to p, which gives p = s + 48.\n4. Substitute s = x + 20 to p, which gives p = x + 68.\n5. Substitute x = a + 14 to p, which gives p = a + 82.\n6. Substitute a = 17 to p, which gives p = 99.\n\nThus, the final answer is p = \\boxed{99}.",
"index": 7024,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = 17; d = s + 11; q = v + 19; c = d + 19; s = x + 20; w = c + 10; v = z + 5; x = a + 14; p = w + 8; i = j + 19; j = m + 8; z = a + 17; m = q + 13. If a = 17, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"g": "u + 19", "z": "g + 15", "y": "z + 12", "j": "y + 17", "k": "j + 3", "x": "k + 11", "f": "u + 17", "w": "f + 16", "p": "w + 1", "c": "p + 5", "e": "c + 19", "i": "e + 4", "u": 8}, "premises": {"u": 8}, "target": "x"}, "answer": {"steps": [["k", "j + 3", "j + 14"], ["j", "y + 17", "y + 31"], ["y", "z + 12", "z + 43"], ["z", "g + 15", "g + 58"], ["g", "u + 19", "u + 77"], ["u", 8, "85"]], "target_var_name": "x", "target_value": 85, "value_dict": {"u": 8}, "is_reverse": true}} | 7,025 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = u + 19; p = w + 1; j = y + 17; i = e + 4; z = g + 15; y = z + 12; w = f + 16; u = 8; c = p + 5; x = k + 11; f = u + 17; k = j + 3; e = c + 19. If u = 8, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = j + 3 to x, which gives x = j + 14.\n2. Substitute j = y + 17 to x, which gives x = y + 31.\n3. Substitute y = z + 12 to x, which gives x = z + 43.\n4. Substitute z = g + 15 to x, which gives x = g + 58.\n5. Substitute g = u + 19 to x, which gives x = u + 77.\n6. Substitute u = 8 to x, which gives x = 85.\n\nThus, the final answer is x = \\boxed{85}.",
"index": 7025,
"question": "Consider a system of variables where each variable is defined as follows: g = u + 19; p = w + 1; j = y + 17; i = e + 4; z = g + 15; y = z + 12; w = f + 16; u = 8; c = p + 5; x = k + 11; f = u + 17; k = j + 3; e = c + 19. If u = 8, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"b": "d + 8", "g": "b + 18", "a": "g + 8", "m": "a + 10", "h": "m + 4", "q": "h + 20", "i": "d + 18", "l": "i + 1", "z": "l + 14", "p": "z + 6", "e": "p + 14", "n": "e + 17", "d": 18}, "premises": {"d": 18}, "target": "q"}, "answer": {"steps": [["h", "m + 4", "m + 24"], ["m", "a + 10", "a + 34"], ["a", "g + 8", "g + 42"], ["g", "b + 18", "b + 60"], ["b", "d + 8", "d + 68"], ["d", 18, "86"]], "target_var_name": "q", "target_value": 86, "value_dict": {"d": 18}, "is_reverse": true}} | 7,026 | 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 = d + 18; d = 18; p = z + 6; e = p + 14; g = b + 18; m = a + 10; h = m + 4; n = e + 17; b = d + 8; l = i + 1; a = g + 8; q = h + 20; z = l + 14. If d = 18, what is the resulting 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 h = m + 4 to q, which gives q = m + 24.\n2. Substitute m = a + 10 to q, which gives q = a + 34.\n3. Substitute a = g + 8 to q, which gives q = g + 42.\n4. Substitute g = b + 18 to q, which gives q = b + 60.\n5. Substitute b = d + 8 to q, which gives q = d + 68.\n6. Substitute d = 18 to q, which gives q = 86.\n\nThus, the final answer is q = \\boxed{86}.",
"index": 7026,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = d + 18; d = 18; p = z + 6; e = p + 14; g = b + 18; m = a + 10; h = m + 4; n = e + 17; b = d + 8; l = i + 1; a = g + 8; q = h + 20; z = l + 14. If d = 18, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"j": "k + 6", "u": "j + 11", "i": "u + 7", "y": "i + 7", "c": "y + 19", "d": "c + 4", "n": "k + 18", "x": "n + 8", "l": "x + 17", "e": "l + 2", "v": "e + 17", "r": "v + 11", "k": 17}, "premises": {"k": 17}, "target": "d"}, "answer": {"steps": [["c", "y + 19", "y + 23"], ["y", "i + 7", "i + 30"], ["i", "u + 7", "u + 37"], ["u", "j + 11", "j + 48"], ["j", "k + 6", "k + 54"], ["k", 17, "71"]], "target_var_name": "d", "target_value": 71, "value_dict": {"k": 17}, "is_reverse": true}} | 7,027 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = y + 19; u = j + 11; r = v + 11; v = e + 17; l = x + 17; d = c + 4; e = l + 2; j = k + 6; k = 17; n = k + 18; y = i + 7; i = u + 7; x = n + 8. Given that k = 17, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = y + 19 to d, which gives d = y + 23.\n2. Substitute y = i + 7 to d, which gives d = i + 30.\n3. Substitute i = u + 7 to d, which gives d = u + 37.\n4. Substitute u = j + 11 to d, which gives d = j + 48.\n5. Substitute j = k + 6 to d, which gives d = k + 54.\n6. Substitute k = 17 to d, which gives d = 71.\n\nThus, the final answer is d = \\boxed{71}.",
"index": 7027,
"question": "Suppose a collection of variables is related by the following definitions: c = y + 19; u = j + 11; r = v + 11; v = e + 17; l = x + 17; d = c + 4; e = l + 2; j = k + 6; k = 17; n = k + 18; y = i + 7; i = u + 7; x = n + 8. Given that k = 17, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"u": "a + 14", "z": "u + 3", "l": "z + 2", "p": "l + 12", "o": "p + 6", "t": "o + 20", "g": "a + 16", "x": "g + 16", "m": "x + 7", "v": "m + 4", "i": "v + 14", "n": "i + 12", "a": 1}, "premises": {"a": 1}, "target": "t"}, "answer": {"steps": [["o", "p + 6", "p + 26"], ["p", "l + 12", "l + 38"], ["l", "z + 2", "z + 40"], ["z", "u + 3", "u + 43"], ["u", "a + 14", "a + 57"], ["a", 1, "58"]], "target_var_name": "t", "target_value": 58, "value_dict": {"a": 1}, "is_reverse": true}} | 7,028 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = m + 4; i = v + 14; p = l + 12; t = o + 20; x = g + 16; o = p + 6; n = i + 12; l = z + 2; g = a + 16; z = u + 3; u = a + 14; a = 1; m = x + 7. Given that a = 1, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = p + 6 to t, which gives t = p + 26.\n2. Substitute p = l + 12 to t, which gives t = l + 38.\n3. Substitute l = z + 2 to t, which gives t = z + 40.\n4. Substitute z = u + 3 to t, which gives t = u + 43.\n5. Substitute u = a + 14 to t, which gives t = a + 57.\n6. Substitute a = 1 to t, which gives t = 58.\n\nThus, the final answer is t = \\boxed{58}.",
"index": 7028,
"question": "Suppose a collection of variables is related by the following definitions: v = m + 4; i = v + 14; p = l + 12; t = o + 20; x = g + 16; o = p + 6; n = i + 12; l = z + 2; g = a + 16; z = u + 3; u = a + 14; a = 1; m = x + 7. Given that a = 1, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"d": "b + 9", "m": "d + 18", "w": "m + 17", "z": "w + 17", "a": "z + 18", "v": "a + 16", "k": "b + 14", "x": "k + 18", "t": "x + 5", "o": "t + 6", "r": "o + 4", "c": "r + 16", "b": 2}, "premises": {"b": 2}, "target": "v"}, "answer": {"steps": [["a", "z + 18", "z + 34"], ["z", "w + 17", "w + 51"], ["w", "m + 17", "m + 68"], ["m", "d + 18", "d + 86"], ["d", "b + 9", "b + 95"], ["b", 2, "97"]], "target_var_name": "v", "target_value": 97, "value_dict": {"b": 2}, "is_reverse": true}} | 7,029 | 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 = b + 14; d = b + 9; x = k + 18; t = x + 5; z = w + 17; b = 2; r = o + 4; m = d + 18; o = t + 6; w = m + 17; c = r + 16; v = a + 16; a = z + 18. If b = 2, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = z + 18 to v, which gives v = z + 34.\n2. Substitute z = w + 17 to v, which gives v = w + 51.\n3. Substitute w = m + 17 to v, which gives v = m + 68.\n4. Substitute m = d + 18 to v, which gives v = d + 86.\n5. Substitute d = b + 9 to v, which gives v = b + 95.\n6. Substitute b = 2 to v, which gives v = 97.\n\nThus, the final answer is v = \\boxed{97}.",
"index": 7029,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = b + 14; d = b + 9; x = k + 18; t = x + 5; z = w + 17; b = 2; r = o + 4; m = d + 18; o = t + 6; w = m + 17; c = r + 16; v = a + 16; a = z + 18. If b = 2, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"x": "t + 20", "f": "x + 5", "q": "f + 3", "u": "q + 9", "i": "u + 5", "j": "i + 3", "n": "t + 16", "w": "n + 2", "k": "w + 14", "a": "k + 10", "s": "a + 8", "e": "s + 11", "t": 9}, "premises": {"t": 9}, "target": "j"}, "answer": {"steps": [["i", "u + 5", "u + 8"], ["u", "q + 9", "q + 17"], ["q", "f + 3", "f + 20"], ["f", "x + 5", "x + 25"], ["x", "t + 20", "t + 45"], ["t", 9, "54"]], "target_var_name": "j", "target_value": 54, "value_dict": {"t": 9}, "is_reverse": true}} | 7,030 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = f + 3; i = u + 5; s = a + 8; e = s + 11; w = n + 2; u = q + 9; f = x + 5; a = k + 10; x = t + 20; t = 9; j = i + 3; k = w + 14; n = t + 16. If t = 9, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = u + 5 to j, which gives j = u + 8.\n2. Substitute u = q + 9 to j, which gives j = q + 17.\n3. Substitute q = f + 3 to j, which gives j = f + 20.\n4. Substitute f = x + 5 to j, which gives j = x + 25.\n5. Substitute x = t + 20 to j, which gives j = t + 45.\n6. Substitute t = 9 to j, which gives j = 54.\n\nThus, the final answer is j = \\boxed{54}.",
"index": 7030,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = f + 3; i = u + 5; s = a + 8; e = s + 11; w = n + 2; u = q + 9; f = x + 5; a = k + 10; x = t + 20; t = 9; j = i + 3; k = w + 14; n = t + 16. If t = 9, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"j": "e + 11", "h": "j + 19", "a": "h + 4", "o": "a + 10", "c": "o + 2", "l": "c + 16", "f": "e + 18", "x": "f + 20", "b": "x + 2", "t": "b + 18", "p": "t + 6", "y": "p + 5", "e": 2}, "premises": {"e": 2}, "target": "l"}, "answer": {"steps": [["c", "o + 2", "o + 18"], ["o", "a + 10", "a + 28"], ["a", "h + 4", "h + 32"], ["h", "j + 19", "j + 51"], ["j", "e + 11", "e + 62"], ["e", 2, "64"]], "target_var_name": "l", "target_value": 64, "value_dict": {"e": 2}, "is_reverse": true}} | 7,031 | 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 = p + 5; o = a + 10; h = j + 19; a = h + 4; c = o + 2; x = f + 20; p = t + 6; t = b + 18; e = 2; f = e + 18; b = x + 2; l = c + 16; j = e + 11. If e = 2, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = o + 2 to l, which gives l = o + 18.\n2. Substitute o = a + 10 to l, which gives l = a + 28.\n3. Substitute a = h + 4 to l, which gives l = h + 32.\n4. Substitute h = j + 19 to l, which gives l = j + 51.\n5. Substitute j = e + 11 to l, which gives l = e + 62.\n6. Substitute e = 2 to l, which gives l = 64.\n\nThus, the final answer is l = \\boxed{64}.",
"index": 7031,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = p + 5; o = a + 10; h = j + 19; a = h + 4; c = o + 2; x = f + 20; p = t + 6; t = b + 18; e = 2; f = e + 18; b = x + 2; l = c + 16; j = e + 11. If e = 2, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"a": "f + 16", "r": "a + 2", "y": "r + 17", "v": "y + 18", "j": "v + 5", "b": "j + 9", "c": "f + 8", "i": "c + 4", "g": "i + 10", "x": "g + 11", "m": "x + 3", "q": "m + 9", "f": 4}, "premises": {"f": 4}, "target": "b"}, "answer": {"steps": [["j", "v + 5", "v + 14"], ["v", "y + 18", "y + 32"], ["y", "r + 17", "r + 49"], ["r", "a + 2", "a + 51"], ["a", "f + 16", "f + 67"], ["f", 4, "71"]], "target_var_name": "b", "target_value": 71, "value_dict": {"f": 4}, "is_reverse": true}} | 7,032 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = f + 16; f = 4; r = a + 2; q = m + 9; g = i + 10; j = v + 5; v = y + 18; i = c + 4; x = g + 11; y = r + 17; c = f + 8; m = x + 3; b = j + 9. Given that f = 4, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = v + 5 to b, which gives b = v + 14.\n2. Substitute v = y + 18 to b, which gives b = y + 32.\n3. Substitute y = r + 17 to b, which gives b = r + 49.\n4. Substitute r = a + 2 to b, which gives b = a + 51.\n5. Substitute a = f + 16 to b, which gives b = f + 67.\n6. Substitute f = 4 to b, which gives b = 71.\n\nThus, the final answer is b = \\boxed{71}.",
"index": 7032,
"question": "Suppose a collection of variables is related by the following definitions: a = f + 16; f = 4; r = a + 2; q = m + 9; g = i + 10; j = v + 5; v = y + 18; i = c + 4; x = g + 11; y = r + 17; c = f + 8; m = x + 3; b = j + 9. Given that f = 4, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"b": "c + 12", "m": "b + 10", "k": "m + 3", "t": "k + 20", "x": "t + 12", "y": "x + 17", "v": "c + 10", "a": "v + 6", "u": "a + 4", "s": "u + 17", "e": "s + 4", "q": "e + 5", "c": 12}, "premises": {"c": 12}, "target": "y"}, "answer": {"steps": [["x", "t + 12", "t + 29"], ["t", "k + 20", "k + 49"], ["k", "m + 3", "m + 52"], ["m", "b + 10", "b + 62"], ["b", "c + 12", "c + 74"], ["c", 12, "86"]], "target_var_name": "y", "target_value": 86, "value_dict": {"c": 12}, "is_reverse": true}} | 7,033 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = b + 10; x = t + 12; t = k + 20; q = e + 5; k = m + 3; c = 12; a = v + 6; s = u + 17; b = c + 12; u = a + 4; v = c + 10; y = x + 17; e = s + 4. If c = 12, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = t + 12 to y, which gives y = t + 29.\n2. Substitute t = k + 20 to y, which gives y = k + 49.\n3. Substitute k = m + 3 to y, which gives y = m + 52.\n4. Substitute m = b + 10 to y, which gives y = b + 62.\n5. Substitute b = c + 12 to y, which gives y = c + 74.\n6. Substitute c = 12 to y, which gives y = 86.\n\nThus, the final answer is y = \\boxed{86}.",
"index": 7033,
"question": "Consider a system of variables where each variable is defined as follows: m = b + 10; x = t + 12; t = k + 20; q = e + 5; k = m + 3; c = 12; a = v + 6; s = u + 17; b = c + 12; u = a + 4; v = c + 10; y = x + 17; e = s + 4. If c = 12, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"d": "o + 6", "t": "d + 18", "k": "t + 12", "c": "k + 14", "i": "c + 8", "p": "i + 1", "n": "o + 9", "s": "n + 5", "u": "s + 1", "v": "u + 8", "h": "v + 11", "x": "h + 5", "o": 7}, "premises": {"o": 7}, "target": "p"}, "answer": {"steps": [["i", "c + 8", "c + 9"], ["c", "k + 14", "k + 23"], ["k", "t + 12", "t + 35"], ["t", "d + 18", "d + 53"], ["d", "o + 6", "o + 59"], ["o", 7, "66"]], "target_var_name": "p", "target_value": 66, "value_dict": {"o": 7}, "is_reverse": true}} | 7,034 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = u + 8; p = i + 1; k = t + 12; s = n + 5; c = k + 14; i = c + 8; d = o + 6; t = d + 18; o = 7; n = o + 9; x = h + 5; u = s + 1; h = v + 11. Given that o = 7, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = c + 8 to p, which gives p = c + 9.\n2. Substitute c = k + 14 to p, which gives p = k + 23.\n3. Substitute k = t + 12 to p, which gives p = t + 35.\n4. Substitute t = d + 18 to p, which gives p = d + 53.\n5. Substitute d = o + 6 to p, which gives p = o + 59.\n6. Substitute o = 7 to p, which gives p = 66.\n\nThus, the final answer is p = \\boxed{66}.",
"index": 7034,
"question": "Suppose a collection of variables is related by the following definitions: v = u + 8; p = i + 1; k = t + 12; s = n + 5; c = k + 14; i = c + 8; d = o + 6; t = d + 18; o = 7; n = o + 9; x = h + 5; u = s + 1; h = v + 11. Given that o = 7, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"z": "n + 1", "r": "z + 19", "h": "r + 8", "f": "h + 17", "q": "f + 10", "i": "q + 7", "a": "n + 20", "c": "a + 12", "u": "c + 2", "y": "u + 2", "j": "y + 9", "w": "j + 16", "n": 4}, "premises": {"n": 4}, "target": "i"}, "answer": {"steps": [["q", "f + 10", "f + 17"], ["f", "h + 17", "h + 34"], ["h", "r + 8", "r + 42"], ["r", "z + 19", "z + 61"], ["z", "n + 1", "n + 62"], ["n", 4, "66"]], "target_var_name": "i", "target_value": 66, "value_dict": {"n": 4}, "is_reverse": true}} | 7,035 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = r + 8; i = q + 7; a = n + 20; r = z + 19; f = h + 17; u = c + 2; n = 4; c = a + 12; j = y + 9; y = u + 2; w = j + 16; z = n + 1; q = f + 10. If n = 4, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = f + 10 to i, which gives i = f + 17.\n2. Substitute f = h + 17 to i, which gives i = h + 34.\n3. Substitute h = r + 8 to i, which gives i = r + 42.\n4. Substitute r = z + 19 to i, which gives i = z + 61.\n5. Substitute z = n + 1 to i, which gives i = n + 62.\n6. Substitute n = 4 to i, which gives i = 66.\n\nThus, the final answer is i = \\boxed{66}.",
"index": 7035,
"question": "Consider a system of variables where each variable is defined as follows: h = r + 8; i = q + 7; a = n + 20; r = z + 19; f = h + 17; u = c + 2; n = 4; c = a + 12; j = y + 9; y = u + 2; w = j + 16; z = n + 1; q = f + 10. If n = 4, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"w": "n + 13", "v": "w + 13", "h": "v + 7", "g": "h + 2", "s": "g + 13", "e": "s + 10", "z": "n + 11", "l": "z + 3", "j": "l + 3", "m": "j + 1", "q": "m + 18", "f": "q + 17", "n": 13}, "premises": {"n": 13}, "target": "e"}, "answer": {"steps": [["s", "g + 13", "g + 23"], ["g", "h + 2", "h + 25"], ["h", "v + 7", "v + 32"], ["v", "w + 13", "w + 45"], ["w", "n + 13", "n + 58"], ["n", 13, "71"]], "target_var_name": "e", "target_value": 71, "value_dict": {"n": 13}, "is_reverse": true}} | 7,036 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = h + 2; s = g + 13; q = m + 18; j = l + 3; m = j + 1; l = z + 3; h = v + 7; z = n + 11; f = q + 17; v = w + 13; e = s + 10; w = n + 13; n = 13. Given that n = 13, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = g + 13 to e, which gives e = g + 23.\n2. Substitute g = h + 2 to e, which gives e = h + 25.\n3. Substitute h = v + 7 to e, which gives e = v + 32.\n4. Substitute v = w + 13 to e, which gives e = w + 45.\n5. Substitute w = n + 13 to e, which gives e = n + 58.\n6. Substitute n = 13 to e, which gives e = 71.\n\nThus, the final answer is e = \\boxed{71}.",
"index": 7036,
"question": "Suppose a collection of variables is related by the following definitions: g = h + 2; s = g + 13; q = m + 18; j = l + 3; m = j + 1; l = z + 3; h = v + 7; z = n + 11; f = q + 17; v = w + 13; e = s + 10; w = n + 13; n = 13. Given that n = 13, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"k": "s + 9", "z": "k + 16", "y": "z + 6", "l": "y + 15", "a": "l + 8", "e": "a + 13", "p": "s + 5", "c": "p + 13", "g": "c + 1", "n": "g + 19", "b": "n + 2", "h": "b + 3", "s": 6}, "premises": {"s": 6}, "target": "e"}, "answer": {"steps": [["a", "l + 8", "l + 21"], ["l", "y + 15", "y + 36"], ["y", "z + 6", "z + 42"], ["z", "k + 16", "k + 58"], ["k", "s + 9", "s + 67"], ["s", 6, "73"]], "target_var_name": "e", "target_value": 73, "value_dict": {"s": 6}, "is_reverse": true}} | 7,037 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = s + 9; c = p + 13; s = 6; z = k + 16; y = z + 6; g = c + 1; h = b + 3; n = g + 19; p = s + 5; b = n + 2; a = l + 8; l = y + 15; e = a + 13. Given that s = 6, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = l + 8 to e, which gives e = l + 21.\n2. Substitute l = y + 15 to e, which gives e = y + 36.\n3. Substitute y = z + 6 to e, which gives e = z + 42.\n4. Substitute z = k + 16 to e, which gives e = k + 58.\n5. Substitute k = s + 9 to e, which gives e = s + 67.\n6. Substitute s = 6 to e, which gives e = 73.\n\nThus, the final answer is e = \\boxed{73}.",
"index": 7037,
"question": "Suppose a collection of variables is related by the following definitions: k = s + 9; c = p + 13; s = 6; z = k + 16; y = z + 6; g = c + 1; h = b + 3; n = g + 19; p = s + 5; b = n + 2; a = l + 8; l = y + 15; e = a + 13. Given that s = 6, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"s": "a + 14", "z": "s + 5", "h": "z + 3", "d": "h + 18", "c": "d + 15", "k": "c + 1", "g": "a + 17", "l": "g + 4", "t": "l + 2", "w": "t + 5", "r": "w + 6", "j": "r + 12", "a": 10}, "premises": {"a": 10}, "target": "k"}, "answer": {"steps": [["c", "d + 15", "d + 16"], ["d", "h + 18", "h + 34"], ["h", "z + 3", "z + 37"], ["z", "s + 5", "s + 42"], ["s", "a + 14", "a + 56"], ["a", 10, "66"]], "target_var_name": "k", "target_value": 66, "value_dict": {"a": 10}, "is_reverse": true}} | 7,038 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = w + 6; g = a + 17; h = z + 3; j = r + 12; z = s + 5; s = a + 14; d = h + 18; k = c + 1; w = t + 5; l = g + 4; a = 10; c = d + 15; t = l + 2. If a = 10, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = d + 15 to k, which gives k = d + 16.\n2. Substitute d = h + 18 to k, which gives k = h + 34.\n3. Substitute h = z + 3 to k, which gives k = z + 37.\n4. Substitute z = s + 5 to k, which gives k = s + 42.\n5. Substitute s = a + 14 to k, which gives k = a + 56.\n6. Substitute a = 10 to k, which gives k = 66.\n\nThus, the final answer is k = \\boxed{66}.",
"index": 7038,
"question": "Consider a system of variables where each variable is defined as follows: r = w + 6; g = a + 17; h = z + 3; j = r + 12; z = s + 5; s = a + 14; d = h + 18; k = c + 1; w = t + 5; l = g + 4; a = 10; c = d + 15; t = l + 2. If a = 10, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"k": "m + 5", "n": "k + 17", "i": "n + 18", "q": "i + 10", "o": "q + 7", "s": "o + 10", "a": "m + 5", "b": "a + 14", "e": "b + 6", "l": "e + 3", "t": "l + 5", "v": "t + 18", "m": 12}, "premises": {"m": 12}, "target": "s"}, "answer": {"steps": [["o", "q + 7", "q + 17"], ["q", "i + 10", "i + 27"], ["i", "n + 18", "n + 45"], ["n", "k + 17", "k + 62"], ["k", "m + 5", "m + 67"], ["m", 12, "79"]], "target_var_name": "s", "target_value": 79, "value_dict": {"m": 12}, "is_reverse": true}} | 7,039 | 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 = o + 10; e = b + 6; t = l + 5; b = a + 14; i = n + 18; a = m + 5; m = 12; l = e + 3; q = i + 10; k = m + 5; n = k + 17; v = t + 18; o = q + 7. If m = 12, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = q + 7 to s, which gives s = q + 17.\n2. Substitute q = i + 10 to s, which gives s = i + 27.\n3. Substitute i = n + 18 to s, which gives s = n + 45.\n4. Substitute n = k + 17 to s, which gives s = k + 62.\n5. Substitute k = m + 5 to s, which gives s = m + 67.\n6. Substitute m = 12 to s, which gives s = 79.\n\nThus, the final answer is s = \\boxed{79}.",
"index": 7039,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = o + 10; e = b + 6; t = l + 5; b = a + 14; i = n + 18; a = m + 5; m = 12; l = e + 3; q = i + 10; k = m + 5; n = k + 17; v = t + 18; o = q + 7. If m = 12, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"f": "j + 2", "u": "f + 8", "w": "u + 4", "p": "w + 8", "l": "p + 8", "c": "l + 16", "i": "j + 13", "m": "i + 5", "y": "m + 4", "b": "y + 3", "e": "b + 17", "v": "e + 17", "j": 1}, "premises": {"j": 1}, "target": "c"}, "answer": {"steps": [["l", "p + 8", "p + 24"], ["p", "w + 8", "w + 32"], ["w", "u + 4", "u + 36"], ["u", "f + 8", "f + 44"], ["f", "j + 2", "j + 46"], ["j", 1, "47"]], "target_var_name": "c", "target_value": 47, "value_dict": {"j": 1}, "is_reverse": true}} | 7,040 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = w + 8; u = f + 8; m = i + 5; b = y + 3; y = m + 4; j = 1; i = j + 13; w = u + 4; l = p + 8; c = l + 16; f = j + 2; e = b + 17; v = e + 17. If j = 1, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = p + 8 to c, which gives c = p + 24.\n2. Substitute p = w + 8 to c, which gives c = w + 32.\n3. Substitute w = u + 4 to c, which gives c = u + 36.\n4. Substitute u = f + 8 to c, which gives c = f + 44.\n5. Substitute f = j + 2 to c, which gives c = j + 46.\n6. Substitute j = 1 to c, which gives c = 47.\n\nThus, the final answer is c = \\boxed{47}.",
"index": 7040,
"question": "Consider a system of variables where each variable is defined as follows: p = w + 8; u = f + 8; m = i + 5; b = y + 3; y = m + 4; j = 1; i = j + 13; w = u + 4; l = p + 8; c = l + 16; f = j + 2; e = b + 17; v = e + 17. If j = 1, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"t": "p + 16", "q": "t + 15", "c": "q + 11", "d": "c + 6", "u": "d + 10", "i": "u + 13", "z": "p + 13", "j": "z + 8", "f": "j + 13", "v": "f + 16", "h": "v + 2", "a": "h + 11", "p": 9}, "premises": {"p": 9}, "target": "i"}, "answer": {"steps": [["u", "d + 10", "d + 23"], ["d", "c + 6", "c + 29"], ["c", "q + 11", "q + 40"], ["q", "t + 15", "t + 55"], ["t", "p + 16", "p + 71"], ["p", 9, "80"]], "target_var_name": "i", "target_value": 80, "value_dict": {"p": 9}, "is_reverse": true}} | 7,041 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = t + 15; u = d + 10; c = q + 11; f = j + 13; v = f + 16; p = 9; t = p + 16; z = p + 13; d = c + 6; a = h + 11; i = u + 13; j = z + 8; h = v + 2. If p = 9, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = d + 10 to i, which gives i = d + 23.\n2. Substitute d = c + 6 to i, which gives i = c + 29.\n3. Substitute c = q + 11 to i, which gives i = q + 40.\n4. Substitute q = t + 15 to i, which gives i = t + 55.\n5. Substitute t = p + 16 to i, which gives i = p + 71.\n6. Substitute p = 9 to i, which gives i = 80.\n\nThus, the final answer is i = \\boxed{80}.",
"index": 7041,
"question": "Consider a system of variables where each variable is defined as follows: q = t + 15; u = d + 10; c = q + 11; f = j + 13; v = f + 16; p = 9; t = p + 16; z = p + 13; d = c + 6; a = h + 11; i = u + 13; j = z + 8; h = v + 2. If p = 9, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"n": "u + 6", "l": "n + 15", "e": "l + 6", "w": "e + 13", "c": "w + 1", "t": "c + 5", "x": "u + 15", "g": "x + 14", "i": "g + 7", "v": "i + 12", "f": "v + 2", "y": "f + 10", "u": 4}, "premises": {"u": 4}, "target": "t"}, "answer": {"steps": [["c", "w + 1", "w + 6"], ["w", "e + 13", "e + 19"], ["e", "l + 6", "l + 25"], ["l", "n + 15", "n + 40"], ["n", "u + 6", "u + 46"], ["u", 4, "50"]], "target_var_name": "t", "target_value": 50, "value_dict": {"u": 4}, "is_reverse": true}} | 7,042 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = c + 5; c = w + 1; f = v + 2; u = 4; l = n + 15; y = f + 10; x = u + 15; v = i + 12; w = e + 13; n = u + 6; i = g + 7; g = x + 14; e = l + 6. If u = 4, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = w + 1 to t, which gives t = w + 6.\n2. Substitute w = e + 13 to t, which gives t = e + 19.\n3. Substitute e = l + 6 to t, which gives t = l + 25.\n4. Substitute l = n + 15 to t, which gives t = n + 40.\n5. Substitute n = u + 6 to t, which gives t = u + 46.\n6. Substitute u = 4 to t, which gives t = 50.\n\nThus, the final answer is t = \\boxed{50}.",
"index": 7042,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = c + 5; c = w + 1; f = v + 2; u = 4; l = n + 15; y = f + 10; x = u + 15; v = i + 12; w = e + 13; n = u + 6; i = g + 7; g = x + 14; e = l + 6. If u = 4, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"j": "a + 4", "v": "j + 5", "k": "v + 18", "m": "k + 19", "s": "m + 12", "z": "s + 16", "h": "a + 15", "r": "h + 6", "i": "r + 6", "o": "i + 7", "b": "o + 7", "y": "b + 14", "a": 7}, "premises": {"a": 7}, "target": "z"}, "answer": {"steps": [["s", "m + 12", "m + 28"], ["m", "k + 19", "k + 47"], ["k", "v + 18", "v + 65"], ["v", "j + 5", "j + 70"], ["j", "a + 4", "a + 74"], ["a", 7, "81"]], "target_var_name": "z", "target_value": 81, "value_dict": {"a": 7}, "is_reverse": true}} | 7,043 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = r + 6; a = 7; z = s + 16; m = k + 19; r = h + 6; j = a + 4; b = o + 7; k = v + 18; v = j + 5; y = b + 14; h = a + 15; s = m + 12; o = i + 7. Given that a = 7, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = m + 12 to z, which gives z = m + 28.\n2. Substitute m = k + 19 to z, which gives z = k + 47.\n3. Substitute k = v + 18 to z, which gives z = v + 65.\n4. Substitute v = j + 5 to z, which gives z = j + 70.\n5. Substitute j = a + 4 to z, which gives z = a + 74.\n6. Substitute a = 7 to z, which gives z = 81.\n\nThus, the final answer is z = \\boxed{81}.",
"index": 7043,
"question": "Suppose a collection of variables is related by the following definitions: i = r + 6; a = 7; z = s + 16; m = k + 19; r = h + 6; j = a + 4; b = o + 7; k = v + 18; v = j + 5; y = b + 14; h = a + 15; s = m + 12; o = i + 7. Given that a = 7, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"d": "s + 1", "j": "d + 11", "y": "j + 14", "o": "y + 15", "k": "o + 10", "n": "k + 1", "b": "s + 18", "r": "b + 6", "e": "r + 10", "h": "e + 2", "v": "h + 5", "u": "v + 1", "s": 19}, "premises": {"s": 19}, "target": "n"}, "answer": {"steps": [["k", "o + 10", "o + 11"], ["o", "y + 15", "y + 26"], ["y", "j + 14", "j + 40"], ["j", "d + 11", "d + 51"], ["d", "s + 1", "s + 52"], ["s", 19, "71"]], "target_var_name": "n", "target_value": 71, "value_dict": {"s": 19}, "is_reverse": true}} | 7,044 | 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 = 19; k = o + 10; y = j + 14; v = h + 5; o = y + 15; r = b + 6; e = r + 10; b = s + 18; h = e + 2; n = k + 1; j = d + 11; u = v + 1; d = s + 1. If s = 19, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = o + 10 to n, which gives n = o + 11.\n2. Substitute o = y + 15 to n, which gives n = y + 26.\n3. Substitute y = j + 14 to n, which gives n = j + 40.\n4. Substitute j = d + 11 to n, which gives n = d + 51.\n5. Substitute d = s + 1 to n, which gives n = s + 52.\n6. Substitute s = 19 to n, which gives n = 71.\n\nThus, the final answer is n = \\boxed{71}.",
"index": 7044,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = 19; k = o + 10; y = j + 14; v = h + 5; o = y + 15; r = b + 6; e = r + 10; b = s + 18; h = e + 2; n = k + 1; j = d + 11; u = v + 1; d = s + 1. If s = 19, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"l": "i + 7", "d": "l + 7", "s": "d + 15", "n": "s + 12", "f": "n + 13", "t": "f + 7", "e": "i + 11", "m": "e + 1", "q": "m + 2", "y": "q + 20", "c": "y + 8", "x": "c + 5", "i": 8}, "premises": {"i": 8}, "target": "t"}, "answer": {"steps": [["f", "n + 13", "n + 20"], ["n", "s + 12", "s + 32"], ["s", "d + 15", "d + 47"], ["d", "l + 7", "l + 54"], ["l", "i + 7", "i + 61"], ["i", 8, "69"]], "target_var_name": "t", "target_value": 69, "value_dict": {"i": 8}, "is_reverse": true}} | 7,045 | 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; f = n + 13; e = i + 11; s = d + 15; l = i + 7; d = l + 7; i = 8; m = e + 1; t = f + 7; n = s + 12; x = c + 5; q = m + 2; y = q + 20. If i = 8, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = n + 13 to t, which gives t = n + 20.\n2. Substitute n = s + 12 to t, which gives t = s + 32.\n3. Substitute s = d + 15 to t, which gives t = d + 47.\n4. Substitute d = l + 7 to t, which gives t = l + 54.\n5. Substitute l = i + 7 to t, which gives t = i + 61.\n6. Substitute i = 8 to t, which gives t = 69.\n\nThus, the final answer is t = \\boxed{69}.",
"index": 7045,
"question": "Consider a system of variables where each variable is defined as follows: c = y + 8; f = n + 13; e = i + 11; s = d + 15; l = i + 7; d = l + 7; i = 8; m = e + 1; t = f + 7; n = s + 12; x = c + 5; q = m + 2; y = q + 20. If i = 8, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"p": "b + 15", "j": "p + 15", "a": "j + 5", "r": "a + 7", "c": "r + 8", "s": "c + 9", "o": "b + 14", "k": "o + 8", "g": "k + 8", "w": "g + 15", "m": "w + 9", "h": "m + 3", "b": 11}, "premises": {"b": 11}, "target": "s"}, "answer": {"steps": [["c", "r + 8", "r + 17"], ["r", "a + 7", "a + 24"], ["a", "j + 5", "j + 29"], ["j", "p + 15", "p + 44"], ["p", "b + 15", "b + 59"], ["b", 11, "70"]], "target_var_name": "s", "target_value": 70, "value_dict": {"b": 11}, "is_reverse": true}} | 7,046 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = r + 8; o = b + 14; b = 11; p = b + 15; m = w + 9; j = p + 15; a = j + 5; s = c + 9; g = k + 8; k = o + 8; r = a + 7; w = g + 15; h = m + 3. Given that b = 11, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = r + 8 to s, which gives s = r + 17.\n2. Substitute r = a + 7 to s, which gives s = a + 24.\n3. Substitute a = j + 5 to s, which gives s = j + 29.\n4. Substitute j = p + 15 to s, which gives s = p + 44.\n5. Substitute p = b + 15 to s, which gives s = b + 59.\n6. Substitute b = 11 to s, which gives s = 70.\n\nThus, the final answer is s = \\boxed{70}.",
"index": 7046,
"question": "Suppose a collection of variables is related by the following definitions: c = r + 8; o = b + 14; b = 11; p = b + 15; m = w + 9; j = p + 15; a = j + 5; s = c + 9; g = k + 8; k = o + 8; r = a + 7; w = g + 15; h = m + 3. Given that b = 11, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"e": "k + 2", "g": "e + 1", "n": "g + 2", "v": "n + 20", "f": "v + 19", "w": "f + 15", "t": "k + 6", "y": "t + 7", "z": "y + 12", "b": "z + 6", "j": "b + 12", "m": "j + 18", "k": 14}, "premises": {"k": 14}, "target": "w"}, "answer": {"steps": [["f", "v + 19", "v + 34"], ["v", "n + 20", "n + 54"], ["n", "g + 2", "g + 56"], ["g", "e + 1", "e + 57"], ["e", "k + 2", "k + 59"], ["k", 14, "73"]], "target_var_name": "w", "target_value": 73, "value_dict": {"k": 14}, "is_reverse": true}} | 7,047 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = n + 20; g = e + 1; n = g + 2; k = 14; z = y + 12; t = k + 6; y = t + 7; b = z + 6; j = b + 12; m = j + 18; e = k + 2; w = f + 15; f = v + 19. If k = 14, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = v + 19 to w, which gives w = v + 34.\n2. Substitute v = n + 20 to w, which gives w = n + 54.\n3. Substitute n = g + 2 to w, which gives w = g + 56.\n4. Substitute g = e + 1 to w, which gives w = e + 57.\n5. Substitute e = k + 2 to w, which gives w = k + 59.\n6. Substitute k = 14 to w, which gives w = 73.\n\nThus, the final answer is w = \\boxed{73}.",
"index": 7047,
"question": "Consider a system of variables where each variable is defined as follows: v = n + 20; g = e + 1; n = g + 2; k = 14; z = y + 12; t = k + 6; y = t + 7; b = z + 6; j = b + 12; m = j + 18; e = k + 2; w = f + 15; f = v + 19. If k = 14, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"c": "q + 3", "b": "c + 11", "a": "b + 12", "s": "a + 11", "g": "s + 20", "p": "g + 19", "w": "q + 17", "m": "w + 2", "d": "m + 19", "i": "d + 4", "t": "i + 12", "o": "t + 2", "q": 14}, "premises": {"q": 14}, "target": "p"}, "answer": {"steps": [["g", "s + 20", "s + 39"], ["s", "a + 11", "a + 50"], ["a", "b + 12", "b + 62"], ["b", "c + 11", "c + 73"], ["c", "q + 3", "q + 76"], ["q", 14, "90"]], "target_var_name": "p", "target_value": 90, "value_dict": {"q": 14}, "is_reverse": true}} | 7,048 | 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 = a + 11; d = m + 19; o = t + 2; g = s + 20; b = c + 11; p = g + 19; w = q + 17; q = 14; c = q + 3; t = i + 12; a = b + 12; m = w + 2; i = d + 4. If q = 14, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = s + 20 to p, which gives p = s + 39.\n2. Substitute s = a + 11 to p, which gives p = a + 50.\n3. Substitute a = b + 12 to p, which gives p = b + 62.\n4. Substitute b = c + 11 to p, which gives p = c + 73.\n5. Substitute c = q + 3 to p, which gives p = q + 76.\n6. Substitute q = 14 to p, which gives p = 90.\n\nThus, the final answer is p = \\boxed{90}.",
"index": 7048,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = a + 11; d = m + 19; o = t + 2; g = s + 20; b = c + 11; p = g + 19; w = q + 17; q = 14; c = q + 3; t = i + 12; a = b + 12; m = w + 2; i = d + 4. If q = 14, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"x": "b + 8", "w": "x + 16", "h": "w + 9", "c": "h + 17", "r": "c + 8", "u": "r + 10", "y": "b + 13", "n": "y + 16", "o": "n + 14", "k": "o + 17", "p": "k + 13", "l": "p + 17", "b": 12}, "premises": {"b": 12}, "target": "u"}, "answer": {"steps": [["r", "c + 8", "c + 18"], ["c", "h + 17", "h + 35"], ["h", "w + 9", "w + 44"], ["w", "x + 16", "x + 60"], ["x", "b + 8", "b + 68"], ["b", 12, "80"]], "target_var_name": "u", "target_value": 80, "value_dict": {"b": 12}, "is_reverse": true}} | 7,049 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = n + 14; l = p + 17; y = b + 13; p = k + 13; n = y + 16; x = b + 8; c = h + 17; b = 12; r = c + 8; k = o + 17; u = r + 10; h = w + 9; w = x + 16. If b = 12, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = c + 8 to u, which gives u = c + 18.\n2. Substitute c = h + 17 to u, which gives u = h + 35.\n3. Substitute h = w + 9 to u, which gives u = w + 44.\n4. Substitute w = x + 16 to u, which gives u = x + 60.\n5. Substitute x = b + 8 to u, which gives u = b + 68.\n6. Substitute b = 12 to u, which gives u = 80.\n\nThus, the final answer is u = \\boxed{80}.",
"index": 7049,
"question": "Consider a system of variables where each variable is defined as follows: o = n + 14; l = p + 17; y = b + 13; p = k + 13; n = y + 16; x = b + 8; c = h + 17; b = 12; r = c + 8; k = o + 17; u = r + 10; h = w + 9; w = x + 16. If b = 12, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"y": "k + 16", "b": "y + 20", "o": "b + 17", "f": "o + 10", "w": "f + 4", "e": "w + 17", "s": "k + 6", "g": "s + 17", "l": "g + 3", "r": "l + 7", "c": "r + 10", "v": "c + 9", "k": 20}, "premises": {"k": 20}, "target": "e"}, "answer": {"steps": [["w", "f + 4", "f + 21"], ["f", "o + 10", "o + 31"], ["o", "b + 17", "b + 48"], ["b", "y + 20", "y + 68"], ["y", "k + 16", "k + 84"], ["k", 20, "104"]], "target_var_name": "e", "target_value": 104, "value_dict": {"k": 20}, "is_reverse": true}} | 7,050 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = k + 16; r = l + 7; v = c + 9; k = 20; w = f + 4; l = g + 3; o = b + 17; f = o + 10; s = k + 6; b = y + 20; e = w + 17; c = r + 10; g = s + 17. Given that k = 20, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 104,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = f + 4 to e, which gives e = f + 21.\n2. Substitute f = o + 10 to e, which gives e = o + 31.\n3. Substitute o = b + 17 to e, which gives e = b + 48.\n4. Substitute b = y + 20 to e, which gives e = y + 68.\n5. Substitute y = k + 16 to e, which gives e = k + 84.\n6. Substitute k = 20 to e, which gives e = 104.\n\nThus, the final answer is e = \\boxed{104}.",
"index": 7050,
"question": "Suppose a collection of variables is related by the following definitions: y = k + 16; r = l + 7; v = c + 9; k = 20; w = f + 4; l = g + 3; o = b + 17; f = o + 10; s = k + 6; b = y + 20; e = w + 17; c = r + 10; g = s + 17. Given that k = 20, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"w": "r + 20", "p": "w + 11", "j": "p + 11", "q": "j + 3", "d": "q + 3", "f": "d + 6", "c": "r + 5", "z": "c + 5", "n": "z + 10", "e": "n + 15", "m": "e + 15", "o": "m + 7", "r": 20}, "premises": {"r": 20}, "target": "f"}, "answer": {"steps": [["d", "q + 3", "q + 9"], ["q", "j + 3", "j + 12"], ["j", "p + 11", "p + 23"], ["p", "w + 11", "w + 34"], ["w", "r + 20", "r + 54"], ["r", 20, "74"]], "target_var_name": "f", "target_value": 74, "value_dict": {"r": 20}, "is_reverse": true}} | 7,051 | 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 = r + 20; d = q + 3; q = j + 3; j = p + 11; f = d + 6; z = c + 5; p = w + 11; c = r + 5; m = e + 15; e = n + 15; r = 20; o = m + 7; n = z + 10. If r = 20, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = q + 3 to f, which gives f = q + 9.\n2. Substitute q = j + 3 to f, which gives f = j + 12.\n3. Substitute j = p + 11 to f, which gives f = p + 23.\n4. Substitute p = w + 11 to f, which gives f = w + 34.\n5. Substitute w = r + 20 to f, which gives f = r + 54.\n6. Substitute r = 20 to f, which gives f = 74.\n\nThus, the final answer is f = \\boxed{74}.",
"index": 7051,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = r + 20; d = q + 3; q = j + 3; j = p + 11; f = d + 6; z = c + 5; p = w + 11; c = r + 5; m = e + 15; e = n + 15; r = 20; o = m + 7; n = z + 10. If r = 20, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"i": "o + 11", "x": "i + 18", "y": "x + 11", "z": "y + 4", "e": "z + 7", "b": "e + 18", "p": "o + 9", "a": "p + 20", "m": "a + 3", "q": "m + 11", "g": "q + 1", "t": "g + 19", "o": 20}, "premises": {"o": 20}, "target": "b"}, "answer": {"steps": [["e", "z + 7", "z + 25"], ["z", "y + 4", "y + 29"], ["y", "x + 11", "x + 40"], ["x", "i + 18", "i + 58"], ["i", "o + 11", "o + 69"], ["o", 20, "89"]], "target_var_name": "b", "target_value": 89, "value_dict": {"o": 20}, "is_reverse": true}} | 7,052 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = e + 18; i = o + 11; y = x + 11; o = 20; e = z + 7; g = q + 1; x = i + 18; z = y + 4; t = g + 19; m = a + 3; p = o + 9; a = p + 20; q = m + 11. Given that o = 20, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = z + 7 to b, which gives b = z + 25.\n2. Substitute z = y + 4 to b, which gives b = y + 29.\n3. Substitute y = x + 11 to b, which gives b = x + 40.\n4. Substitute x = i + 18 to b, which gives b = i + 58.\n5. Substitute i = o + 11 to b, which gives b = o + 69.\n6. Substitute o = 20 to b, which gives b = 89.\n\nThus, the final answer is b = \\boxed{89}.",
"index": 7052,
"question": "Suppose a collection of variables is related by the following definitions: b = e + 18; i = o + 11; y = x + 11; o = 20; e = z + 7; g = q + 1; x = i + 18; z = y + 4; t = g + 19; m = a + 3; p = o + 9; a = p + 20; q = m + 11. Given that o = 20, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"y": "t + 6", "q": "y + 10", "k": "q + 17", "p": "k + 7", "g": "p + 18", "c": "g + 16", "j": "t + 7", "u": "j + 14", "v": "u + 13", "n": "v + 14", "e": "n + 11", "b": "e + 11", "t": 2}, "premises": {"t": 2}, "target": "c"}, "answer": {"steps": [["g", "p + 18", "p + 34"], ["p", "k + 7", "k + 41"], ["k", "q + 17", "q + 58"], ["q", "y + 10", "y + 68"], ["y", "t + 6", "t + 74"], ["t", 2, "76"]], "target_var_name": "c", "target_value": 76, "value_dict": {"t": 2}, "is_reverse": true}} | 7,053 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = 2; g = p + 18; c = g + 16; v = u + 13; j = t + 7; e = n + 11; y = t + 6; u = j + 14; q = y + 10; k = q + 17; p = k + 7; n = v + 14; b = e + 11. If t = 2, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = p + 18 to c, which gives c = p + 34.\n2. Substitute p = k + 7 to c, which gives c = k + 41.\n3. Substitute k = q + 17 to c, which gives c = q + 58.\n4. Substitute q = y + 10 to c, which gives c = y + 68.\n5. Substitute y = t + 6 to c, which gives c = t + 74.\n6. Substitute t = 2 to c, which gives c = 76.\n\nThus, the final answer is c = \\boxed{76}.",
"index": 7053,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = 2; g = p + 18; c = g + 16; v = u + 13; j = t + 7; e = n + 11; y = t + 6; u = j + 14; q = y + 10; k = q + 17; p = k + 7; n = v + 14; b = e + 11. If t = 2, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"x": "a + 6", "k": "x + 12", "t": "k + 12", "l": "t + 2", "d": "l + 5", "o": "d + 20", "u": "a + 13", "n": "u + 10", "b": "n + 14", "i": "b + 11", "p": "i + 10", "g": "p + 7", "a": 11}, "premises": {"a": 11}, "target": "o"}, "answer": {"steps": [["d", "l + 5", "l + 25"], ["l", "t + 2", "t + 27"], ["t", "k + 12", "k + 39"], ["k", "x + 12", "x + 51"], ["x", "a + 6", "a + 57"], ["a", 11, "68"]], "target_var_name": "o", "target_value": 68, "value_dict": {"a": 11}, "is_reverse": true}} | 7,054 | 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 = x + 12; o = d + 20; a = 11; i = b + 11; x = a + 6; u = a + 13; n = u + 10; g = p + 7; b = n + 14; t = k + 12; l = t + 2; d = l + 5; p = i + 10. If a = 11, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = l + 5 to o, which gives o = l + 25.\n2. Substitute l = t + 2 to o, which gives o = t + 27.\n3. Substitute t = k + 12 to o, which gives o = k + 39.\n4. Substitute k = x + 12 to o, which gives o = x + 51.\n5. Substitute x = a + 6 to o, which gives o = a + 57.\n6. Substitute a = 11 to o, which gives o = 68.\n\nThus, the final answer is o = \\boxed{68}.",
"index": 7054,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = x + 12; o = d + 20; a = 11; i = b + 11; x = a + 6; u = a + 13; n = u + 10; g = p + 7; b = n + 14; t = k + 12; l = t + 2; d = l + 5; p = i + 10. If a = 11, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"g": "m + 9", "q": "g + 18", "r": "q + 20", "v": "r + 13", "c": "v + 4", "b": "c + 10", "w": "m + 16", "x": "w + 20", "k": "x + 5", "a": "k + 11", "j": "a + 7", "t": "j + 4", "m": 15}, "premises": {"m": 15}, "target": "b"}, "answer": {"steps": [["c", "v + 4", "v + 14"], ["v", "r + 13", "r + 27"], ["r", "q + 20", "q + 47"], ["q", "g + 18", "g + 65"], ["g", "m + 9", "m + 74"], ["m", 15, "89"]], "target_var_name": "b", "target_value": 89, "value_dict": {"m": 15}, "is_reverse": true}} | 7,055 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = q + 20; w = m + 16; v = r + 13; x = w + 20; j = a + 7; g = m + 9; q = g + 18; a = k + 11; b = c + 10; m = 15; t = j + 4; k = x + 5; c = v + 4. Given that m = 15, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = v + 4 to b, which gives b = v + 14.\n2. Substitute v = r + 13 to b, which gives b = r + 27.\n3. Substitute r = q + 20 to b, which gives b = q + 47.\n4. Substitute q = g + 18 to b, which gives b = g + 65.\n5. Substitute g = m + 9 to b, which gives b = m + 74.\n6. Substitute m = 15 to b, which gives b = 89.\n\nThus, the final answer is b = \\boxed{89}.",
"index": 7055,
"question": "Suppose a collection of variables is related by the following definitions: r = q + 20; w = m + 16; v = r + 13; x = w + 20; j = a + 7; g = m + 9; q = g + 18; a = k + 11; b = c + 10; m = 15; t = j + 4; k = x + 5; c = v + 4. Given that m = 15, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"b": "s + 19", "h": "b + 16", "o": "h + 15", "g": "o + 14", "l": "g + 7", "j": "l + 19", "y": "s + 2", "k": "y + 6", "c": "k + 9", "n": "c + 14", "e": "n + 18", "v": "e + 15", "s": 14}, "premises": {"s": 14}, "target": "j"}, "answer": {"steps": [["l", "g + 7", "g + 26"], ["g", "o + 14", "o + 40"], ["o", "h + 15", "h + 55"], ["h", "b + 16", "b + 71"], ["b", "s + 19", "s + 90"], ["s", 14, "104"]], "target_var_name": "j", "target_value": 104, "value_dict": {"s": 14}, "is_reverse": true}} | 7,056 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = h + 15; h = b + 16; b = s + 19; k = y + 6; g = o + 14; c = k + 9; s = 14; v = e + 15; j = l + 19; e = n + 18; l = g + 7; n = c + 14; y = s + 2. If s = 14, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 104,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = g + 7 to j, which gives j = g + 26.\n2. Substitute g = o + 14 to j, which gives j = o + 40.\n3. Substitute o = h + 15 to j, which gives j = h + 55.\n4. Substitute h = b + 16 to j, which gives j = b + 71.\n5. Substitute b = s + 19 to j, which gives j = s + 90.\n6. Substitute s = 14 to j, which gives j = 104.\n\nThus, the final answer is j = \\boxed{104}.",
"index": 7056,
"question": "Consider a system of variables where each variable is defined as follows: o = h + 15; h = b + 16; b = s + 19; k = y + 6; g = o + 14; c = k + 9; s = 14; v = e + 15; j = l + 19; e = n + 18; l = g + 7; n = c + 14; y = s + 2. If s = 14, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"e": "v + 15", "g": "e + 16", "f": "g + 10", "a": "f + 18", "m": "a + 4", "p": "m + 8", "w": "v + 14", "k": "w + 14", "h": "k + 13", "q": "h + 8", "y": "q + 17", "x": "y + 4", "v": 17}, "premises": {"v": 17}, "target": "p"}, "answer": {"steps": [["m", "a + 4", "a + 12"], ["a", "f + 18", "f + 30"], ["f", "g + 10", "g + 40"], ["g", "e + 16", "e + 56"], ["e", "v + 15", "v + 71"], ["v", 17, "88"]], "target_var_name": "p", "target_value": 88, "value_dict": {"v": 17}, "is_reverse": true}} | 7,057 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = h + 8; w = v + 14; a = f + 18; g = e + 16; m = a + 4; k = w + 14; v = 17; e = v + 15; y = q + 17; h = k + 13; p = m + 8; x = y + 4; f = g + 10. If v = 17, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = a + 4 to p, which gives p = a + 12.\n2. Substitute a = f + 18 to p, which gives p = f + 30.\n3. Substitute f = g + 10 to p, which gives p = g + 40.\n4. Substitute g = e + 16 to p, which gives p = e + 56.\n5. Substitute e = v + 15 to p, which gives p = v + 71.\n6. Substitute v = 17 to p, which gives p = 88.\n\nThus, the final answer is p = \\boxed{88}.",
"index": 7057,
"question": "Consider a system of variables where each variable is defined as follows: q = h + 8; w = v + 14; a = f + 18; g = e + 16; m = a + 4; k = w + 14; v = 17; e = v + 15; y = q + 17; h = k + 13; p = m + 8; x = y + 4; f = g + 10. If v = 17, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"r": "t + 18", "g": "r + 12", "o": "g + 20", "m": "o + 20", "b": "m + 13", "j": "b + 5", "q": "t + 8", "l": "q + 6", "i": "l + 14", "u": "i + 7", "n": "u + 6", "w": "n + 12", "t": 4}, "premises": {"t": 4}, "target": "j"}, "answer": {"steps": [["b", "m + 13", "m + 18"], ["m", "o + 20", "o + 38"], ["o", "g + 20", "g + 58"], ["g", "r + 12", "r + 70"], ["r", "t + 18", "t + 88"], ["t", 4, "92"]], "target_var_name": "j", "target_value": 92, "value_dict": {"t": 4}, "is_reverse": true}} | 7,058 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = l + 14; r = t + 18; n = u + 6; l = q + 6; w = n + 12; g = r + 12; j = b + 5; u = i + 7; o = g + 20; q = t + 8; m = o + 20; b = m + 13; t = 4. Given that t = 4, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = m + 13 to j, which gives j = m + 18.\n2. Substitute m = o + 20 to j, which gives j = o + 38.\n3. Substitute o = g + 20 to j, which gives j = g + 58.\n4. Substitute g = r + 12 to j, which gives j = r + 70.\n5. Substitute r = t + 18 to j, which gives j = t + 88.\n6. Substitute t = 4 to j, which gives j = 92.\n\nThus, the final answer is j = \\boxed{92}.",
"index": 7058,
"question": "Suppose a collection of variables is related by the following definitions: i = l + 14; r = t + 18; n = u + 6; l = q + 6; w = n + 12; g = r + 12; j = b + 5; u = i + 7; o = g + 20; q = t + 8; m = o + 20; b = m + 13; t = 4. Given that t = 4, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"a": "c + 1", "m": "a + 5", "i": "m + 5", "b": "i + 3", "o": "b + 6", "r": "o + 9", "u": "c + 1", "k": "u + 12", "y": "k + 17", "s": "y + 6", "n": "s + 17", "g": "n + 6", "c": 2}, "premises": {"c": 2}, "target": "r"}, "answer": {"steps": [["o", "b + 6", "b + 15"], ["b", "i + 3", "i + 18"], ["i", "m + 5", "m + 23"], ["m", "a + 5", "a + 28"], ["a", "c + 1", "c + 29"], ["c", 2, "31"]], "target_var_name": "r", "target_value": 31, "value_dict": {"c": 2}, "is_reverse": true}} | 7,059 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = k + 17; a = c + 1; g = n + 6; m = a + 5; n = s + 17; r = o + 9; k = u + 12; c = 2; o = b + 6; s = y + 6; i = m + 5; u = c + 1; b = i + 3. Given that c = 2, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 31,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = b + 6 to r, which gives r = b + 15.\n2. Substitute b = i + 3 to r, which gives r = i + 18.\n3. Substitute i = m + 5 to r, which gives r = m + 23.\n4. Substitute m = a + 5 to r, which gives r = a + 28.\n5. Substitute a = c + 1 to r, which gives r = c + 29.\n6. Substitute c = 2 to r, which gives r = 31.\n\nThus, the final answer is r = \\boxed{31}.",
"index": 7059,
"question": "Suppose a collection of variables is related by the following definitions: y = k + 17; a = c + 1; g = n + 6; m = a + 5; n = s + 17; r = o + 9; k = u + 12; c = 2; o = b + 6; s = y + 6; i = m + 5; u = c + 1; b = i + 3. Given that c = 2, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"w": "h + 7", "p": "w + 11", "k": "p + 1", "l": "k + 15", "n": "l + 12", "c": "n + 18", "g": "h + 1", "t": "g + 7", "m": "t + 10", "j": "m + 14", "x": "j + 12", "r": "x + 8", "h": 14}, "premises": {"h": 14}, "target": "c"}, "answer": {"steps": [["n", "l + 12", "l + 30"], ["l", "k + 15", "k + 45"], ["k", "p + 1", "p + 46"], ["p", "w + 11", "w + 57"], ["w", "h + 7", "h + 64"], ["h", 14, "78"]], "target_var_name": "c", "target_value": 78, "value_dict": {"h": 14}, "is_reverse": true}} | 7,060 | 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 = k + 15; h = 14; p = w + 11; x = j + 12; c = n + 18; t = g + 7; j = m + 14; r = x + 8; m = t + 10; n = l + 12; k = p + 1; w = h + 7; g = h + 1. If h = 14, 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 n = l + 12 to c, which gives c = l + 30.\n2. Substitute l = k + 15 to c, which gives c = k + 45.\n3. Substitute k = p + 1 to c, which gives c = p + 46.\n4. Substitute p = w + 11 to c, which gives c = w + 57.\n5. Substitute w = h + 7 to c, which gives c = h + 64.\n6. Substitute h = 14 to c, which gives c = 78.\n\nThus, the final answer is c = \\boxed{78}.",
"index": 7060,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = k + 15; h = 14; p = w + 11; x = j + 12; c = n + 18; t = g + 7; j = m + 14; r = x + 8; m = t + 10; n = l + 12; k = p + 1; w = h + 7; g = h + 1. If h = 14, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"s": "i + 6", "k": "s + 6", "n": "k + 20", "m": "n + 6", "h": "m + 8", "w": "h + 20", "j": "i + 19", "b": "j + 15", "x": "b + 3", "g": "x + 8", "o": "g + 13", "q": "o + 17", "i": 20}, "premises": {"i": 20}, "target": "w"}, "answer": {"steps": [["h", "m + 8", "m + 28"], ["m", "n + 6", "n + 34"], ["n", "k + 20", "k + 54"], ["k", "s + 6", "s + 60"], ["s", "i + 6", "i + 66"], ["i", 20, "86"]], "target_var_name": "w", "target_value": 86, "value_dict": {"i": 20}, "is_reverse": true}} | 7,061 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = s + 6; m = n + 6; g = x + 8; o = g + 13; b = j + 15; s = i + 6; x = b + 3; j = i + 19; q = o + 17; w = h + 20; h = m + 8; i = 20; n = k + 20. If i = 20, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = m + 8 to w, which gives w = m + 28.\n2. Substitute m = n + 6 to w, which gives w = n + 34.\n3. Substitute n = k + 20 to w, which gives w = k + 54.\n4. Substitute k = s + 6 to w, which gives w = s + 60.\n5. Substitute s = i + 6 to w, which gives w = i + 66.\n6. Substitute i = 20 to w, which gives w = 86.\n\nThus, the final answer is w = \\boxed{86}.",
"index": 7061,
"question": "Consider a system of variables where each variable is defined as follows: k = s + 6; m = n + 6; g = x + 8; o = g + 13; b = j + 15; s = i + 6; x = b + 3; j = i + 19; q = o + 17; w = h + 20; h = m + 8; i = 20; n = k + 20. If i = 20, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"c": "y + 2", "k": "c + 14", "p": "k + 18", "t": "p + 18", "a": "t + 7", "v": "a + 15", "e": "y + 3", "u": "e + 11", "b": "u + 9", "f": "b + 20", "q": "f + 10", "i": "q + 12", "y": 5}, "premises": {"y": 5}, "target": "v"}, "answer": {"steps": [["a", "t + 7", "t + 22"], ["t", "p + 18", "p + 40"], ["p", "k + 18", "k + 58"], ["k", "c + 14", "c + 72"], ["c", "y + 2", "y + 74"], ["y", 5, "79"]], "target_var_name": "v", "target_value": 79, "value_dict": {"y": 5}, "is_reverse": true}} | 7,062 | 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 = a + 15; a = t + 7; i = q + 12; b = u + 9; c = y + 2; p = k + 18; e = y + 3; t = p + 18; k = c + 14; f = b + 20; y = 5; u = e + 11; q = f + 10. If y = 5, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = t + 7 to v, which gives v = t + 22.\n2. Substitute t = p + 18 to v, which gives v = p + 40.\n3. Substitute p = k + 18 to v, which gives v = k + 58.\n4. Substitute k = c + 14 to v, which gives v = c + 72.\n5. Substitute c = y + 2 to v, which gives v = y + 74.\n6. Substitute y = 5 to v, which gives v = 79.\n\nThus, the final answer is v = \\boxed{79}.",
"index": 7062,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = a + 15; a = t + 7; i = q + 12; b = u + 9; c = y + 2; p = k + 18; e = y + 3; t = p + 18; k = c + 14; f = b + 20; y = 5; u = e + 11; q = f + 10. If y = 5, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"b": "i + 9", "p": "b + 9", "n": "p + 5", "g": "n + 17", "c": "g + 9", "q": "c + 8", "y": "i + 3", "h": "y + 15", "k": "h + 8", "d": "k + 4", "x": "d + 9", "w": "x + 3", "i": 1}, "premises": {"i": 1}, "target": "q"}, "answer": {"steps": [["c", "g + 9", "g + 17"], ["g", "n + 17", "n + 34"], ["n", "p + 5", "p + 39"], ["p", "b + 9", "b + 48"], ["b", "i + 9", "i + 57"], ["i", 1, "58"]], "target_var_name": "q", "target_value": 58, "value_dict": {"i": 1}, "is_reverse": true}} | 7,063 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = p + 5; d = k + 4; y = i + 3; p = b + 9; i = 1; x = d + 9; k = h + 8; c = g + 9; b = i + 9; g = n + 17; w = x + 3; q = c + 8; h = y + 15. Given that i = 1, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = g + 9 to q, which gives q = g + 17.\n2. Substitute g = n + 17 to q, which gives q = n + 34.\n3. Substitute n = p + 5 to q, which gives q = p + 39.\n4. Substitute p = b + 9 to q, which gives q = b + 48.\n5. Substitute b = i + 9 to q, which gives q = i + 57.\n6. Substitute i = 1 to q, which gives q = 58.\n\nThus, the final answer is q = \\boxed{58}.",
"index": 7063,
"question": "Suppose a collection of variables is related by the following definitions: n = p + 5; d = k + 4; y = i + 3; p = b + 9; i = 1; x = d + 9; k = h + 8; c = g + 9; b = i + 9; g = n + 17; w = x + 3; q = c + 8; h = y + 15. Given that i = 1, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"t": "w + 5", "o": "t + 14", "n": "o + 19", "y": "n + 18", "x": "y + 12", "j": "x + 2", "k": "w + 16", "e": "k + 18", "l": "e + 7", "r": "l + 12", "q": "r + 7", "b": "q + 5", "w": 4}, "premises": {"w": 4}, "target": "j"}, "answer": {"steps": [["x", "y + 12", "y + 14"], ["y", "n + 18", "n + 32"], ["n", "o + 19", "o + 51"], ["o", "t + 14", "t + 65"], ["t", "w + 5", "w + 70"], ["w", 4, "74"]], "target_var_name": "j", "target_value": 74, "value_dict": {"w": 4}, "is_reverse": true}} | 7,064 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = w + 16; b = q + 5; e = k + 18; n = o + 19; t = w + 5; x = y + 12; y = n + 18; q = r + 7; l = e + 7; o = t + 14; w = 4; j = x + 2; r = l + 12. If w = 4, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = y + 12 to j, which gives j = y + 14.\n2. Substitute y = n + 18 to j, which gives j = n + 32.\n3. Substitute n = o + 19 to j, which gives j = o + 51.\n4. Substitute o = t + 14 to j, which gives j = t + 65.\n5. Substitute t = w + 5 to j, which gives j = w + 70.\n6. Substitute w = 4 to j, which gives j = 74.\n\nThus, the final answer is j = \\boxed{74}.",
"index": 7064,
"question": "Consider a system of variables where each variable is defined as follows: k = w + 16; b = q + 5; e = k + 18; n = o + 19; t = w + 5; x = y + 12; y = n + 18; q = r + 7; l = e + 7; o = t + 14; w = 4; j = x + 2; r = l + 12. If w = 4, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"h": "t + 17", "u": "h + 12", "o": "u + 20", "v": "o + 7", "j": "v + 5", "k": "j + 12", "n": "t + 17", "f": "n + 3", "s": "f + 9", "l": "s + 12", "g": "l + 13", "r": "g + 16", "t": 9}, "premises": {"t": 9}, "target": "k"}, "answer": {"steps": [["j", "v + 5", "v + 17"], ["v", "o + 7", "o + 24"], ["o", "u + 20", "u + 44"], ["u", "h + 12", "h + 56"], ["h", "t + 17", "t + 73"], ["t", 9, "82"]], "target_var_name": "k", "target_value": 82, "value_dict": {"t": 9}, "is_reverse": true}} | 7,065 | 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 = s + 12; v = o + 7; n = t + 17; f = n + 3; k = j + 12; h = t + 17; r = g + 16; o = u + 20; g = l + 13; s = f + 9; j = v + 5; t = 9; u = h + 12. If t = 9, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = v + 5 to k, which gives k = v + 17.\n2. Substitute v = o + 7 to k, which gives k = o + 24.\n3. Substitute o = u + 20 to k, which gives k = u + 44.\n4. Substitute u = h + 12 to k, which gives k = h + 56.\n5. Substitute h = t + 17 to k, which gives k = t + 73.\n6. Substitute t = 9 to k, which gives k = 82.\n\nThus, the final answer is k = \\boxed{82}.",
"index": 7065,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = s + 12; v = o + 7; n = t + 17; f = n + 3; k = j + 12; h = t + 17; r = g + 16; o = u + 20; g = l + 13; s = f + 9; j = v + 5; t = 9; u = h + 12. If t = 9, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"k": "e + 14", "v": "k + 10", "c": "v + 8", "u": "c + 11", "t": "u + 20", "f": "t + 13", "j": "e + 9", "g": "j + 18", "r": "g + 13", "o": "r + 13", "m": "o + 11", "w": "m + 10", "e": 2}, "premises": {"e": 2}, "target": "f"}, "answer": {"steps": [["t", "u + 20", "u + 33"], ["u", "c + 11", "c + 44"], ["c", "v + 8", "v + 52"], ["v", "k + 10", "k + 62"], ["k", "e + 14", "e + 76"], ["e", 2, "78"]], "target_var_name": "f", "target_value": 78, "value_dict": {"e": 2}, "is_reverse": true}} | 7,066 | 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 = 2; g = j + 18; f = t + 13; t = u + 20; v = k + 10; o = r + 13; m = o + 11; w = m + 10; k = e + 14; u = c + 11; r = g + 13; j = e + 9; c = v + 8. If e = 2, what is the resulting 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 t = u + 20 to f, which gives f = u + 33.\n2. Substitute u = c + 11 to f, which gives f = c + 44.\n3. Substitute c = v + 8 to f, which gives f = v + 52.\n4. Substitute v = k + 10 to f, which gives f = k + 62.\n5. Substitute k = e + 14 to f, which gives f = e + 76.\n6. Substitute e = 2 to f, which gives f = 78.\n\nThus, the final answer is f = \\boxed{78}.",
"index": 7066,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = 2; g = j + 18; f = t + 13; t = u + 20; v = k + 10; o = r + 13; m = o + 11; w = m + 10; k = e + 14; u = c + 11; r = g + 13; j = e + 9; c = v + 8. If e = 2, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"p": "x + 3", "r": "p + 9", "i": "r + 15", "n": "i + 3", "e": "n + 2", "a": "e + 14", "t": "x + 4", "v": "t + 13", "y": "v + 7", "j": "y + 17", "z": "j + 14", "g": "z + 4", "x": 2}, "premises": {"x": 2}, "target": "a"}, "answer": {"steps": [["e", "n + 2", "n + 16"], ["n", "i + 3", "i + 19"], ["i", "r + 15", "r + 34"], ["r", "p + 9", "p + 43"], ["p", "x + 3", "x + 46"], ["x", 2, "48"]], "target_var_name": "a", "target_value": 48, "value_dict": {"x": 2}, "is_reverse": true}} | 7,067 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = r + 15; y = v + 7; n = i + 3; j = y + 17; t = x + 4; z = j + 14; v = t + 13; p = x + 3; e = n + 2; x = 2; g = z + 4; r = p + 9; a = e + 14. If x = 2, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = n + 2 to a, which gives a = n + 16.\n2. Substitute n = i + 3 to a, which gives a = i + 19.\n3. Substitute i = r + 15 to a, which gives a = r + 34.\n4. Substitute r = p + 9 to a, which gives a = p + 43.\n5. Substitute p = x + 3 to a, which gives a = x + 46.\n6. Substitute x = 2 to a, which gives a = 48.\n\nThus, the final answer is a = \\boxed{48}.",
"index": 7067,
"question": "Consider a system of variables where each variable is defined as follows: i = r + 15; y = v + 7; n = i + 3; j = y + 17; t = x + 4; z = j + 14; v = t + 13; p = x + 3; e = n + 2; x = 2; g = z + 4; r = p + 9; a = e + 14. If x = 2, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"o": "g + 5", "i": "o + 15", "z": "i + 8", "q": "z + 1", "b": "q + 6", "p": "b + 19", "t": "g + 3", "y": "t + 10", "h": "y + 8", "m": "h + 9", "r": "m + 14", "j": "r + 10", "g": 18}, "premises": {"g": 18}, "target": "p"}, "answer": {"steps": [["b", "q + 6", "q + 25"], ["q", "z + 1", "z + 26"], ["z", "i + 8", "i + 34"], ["i", "o + 15", "o + 49"], ["o", "g + 5", "g + 54"], ["g", 18, "72"]], "target_var_name": "p", "target_value": 72, "value_dict": {"g": 18}, "is_reverse": true}} | 7,068 | 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 = y + 8; o = g + 5; j = r + 10; i = o + 15; q = z + 1; y = t + 10; z = i + 8; m = h + 9; b = q + 6; p = b + 19; g = 18; t = g + 3; r = m + 14. If g = 18, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = q + 6 to p, which gives p = q + 25.\n2. Substitute q = z + 1 to p, which gives p = z + 26.\n3. Substitute z = i + 8 to p, which gives p = i + 34.\n4. Substitute i = o + 15 to p, which gives p = o + 49.\n5. Substitute o = g + 5 to p, which gives p = g + 54.\n6. Substitute g = 18 to p, which gives p = 72.\n\nThus, the final answer is p = \\boxed{72}.",
"index": 7068,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = y + 8; o = g + 5; j = r + 10; i = o + 15; q = z + 1; y = t + 10; z = i + 8; m = h + 9; b = q + 6; p = b + 19; g = 18; t = g + 3; r = m + 14. If g = 18, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"f": "e + 16", "j": "f + 1", "o": "j + 5", "u": "o + 4", "t": "u + 18", "c": "t + 19", "w": "e + 5", "r": "w + 5", "k": "r + 11", "a": "k + 12", "b": "a + 13", "n": "b + 20", "e": 8}, "premises": {"e": 8}, "target": "c"}, "answer": {"steps": [["t", "u + 18", "u + 37"], ["u", "o + 4", "o + 41"], ["o", "j + 5", "j + 46"], ["j", "f + 1", "f + 47"], ["f", "e + 16", "e + 63"], ["e", 8, "71"]], "target_var_name": "c", "target_value": 71, "value_dict": {"e": 8}, "is_reverse": true}} | 7,069 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = b + 20; u = o + 4; o = j + 5; t = u + 18; c = t + 19; j = f + 1; b = a + 13; f = e + 16; r = w + 5; a = k + 12; w = e + 5; e = 8; k = r + 11. Given that e = 8, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = u + 18 to c, which gives c = u + 37.\n2. Substitute u = o + 4 to c, which gives c = o + 41.\n3. Substitute o = j + 5 to c, which gives c = j + 46.\n4. Substitute j = f + 1 to c, which gives c = f + 47.\n5. Substitute f = e + 16 to c, which gives c = e + 63.\n6. Substitute e = 8 to c, which gives c = 71.\n\nThus, the final answer is c = \\boxed{71}.",
"index": 7069,
"question": "Suppose a collection of variables is related by the following definitions: n = b + 20; u = o + 4; o = j + 5; t = u + 18; c = t + 19; j = f + 1; b = a + 13; f = e + 16; r = w + 5; a = k + 12; w = e + 5; e = 8; k = r + 11. Given that e = 8, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"p": "b + 10", "r": "p + 5", "v": "r + 9", "g": "v + 18", "y": "g + 5", "i": "y + 12", "z": "b + 1", "t": "z + 15", "u": "t + 9", "e": "u + 19", "m": "e + 3", "x": "m + 1", "b": 17}, "premises": {"b": 17}, "target": "i"}, "answer": {"steps": [["y", "g + 5", "g + 17"], ["g", "v + 18", "v + 35"], ["v", "r + 9", "r + 44"], ["r", "p + 5", "p + 49"], ["p", "b + 10", "b + 59"], ["b", 17, "76"]], "target_var_name": "i", "target_value": 76, "value_dict": {"b": 17}, "is_reverse": true}} | 7,070 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = v + 18; t = z + 15; u = t + 9; z = b + 1; b = 17; e = u + 19; m = e + 3; p = b + 10; y = g + 5; x = m + 1; r = p + 5; i = y + 12; v = r + 9. Given that b = 17, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = g + 5 to i, which gives i = g + 17.\n2. Substitute g = v + 18 to i, which gives i = v + 35.\n3. Substitute v = r + 9 to i, which gives i = r + 44.\n4. Substitute r = p + 5 to i, which gives i = p + 49.\n5. Substitute p = b + 10 to i, which gives i = b + 59.\n6. Substitute b = 17 to i, which gives i = 76.\n\nThus, the final answer is i = \\boxed{76}.",
"index": 7070,
"question": "Suppose a collection of variables is related by the following definitions: g = v + 18; t = z + 15; u = t + 9; z = b + 1; b = 17; e = u + 19; m = e + 3; p = b + 10; y = g + 5; x = m + 1; r = p + 5; i = y + 12; v = r + 9. Given that b = 17, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"l": "n + 17", "q": "l + 16", "a": "q + 9", "t": "a + 1", "s": "t + 20", "e": "s + 3", "z": "n + 7", "x": "z + 18", "k": "x + 18", "f": "k + 7", "r": "f + 1", "g": "r + 7", "n": 4}, "premises": {"n": 4}, "target": "e"}, "answer": {"steps": [["s", "t + 20", "t + 23"], ["t", "a + 1", "a + 24"], ["a", "q + 9", "q + 33"], ["q", "l + 16", "l + 49"], ["l", "n + 17", "n + 66"], ["n", 4, "70"]], "target_var_name": "e", "target_value": 70, "value_dict": {"n": 4}, "is_reverse": true}} | 7,071 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = s + 3; r = f + 1; s = t + 20; t = a + 1; x = z + 18; z = n + 7; l = n + 17; n = 4; f = k + 7; g = r + 7; q = l + 16; k = x + 18; a = q + 9. Given that n = 4, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = t + 20 to e, which gives e = t + 23.\n2. Substitute t = a + 1 to e, which gives e = a + 24.\n3. Substitute a = q + 9 to e, which gives e = q + 33.\n4. Substitute q = l + 16 to e, which gives e = l + 49.\n5. Substitute l = n + 17 to e, which gives e = n + 66.\n6. Substitute n = 4 to e, which gives e = 70.\n\nThus, the final answer is e = \\boxed{70}.",
"index": 7071,
"question": "Suppose a collection of variables is related by the following definitions: e = s + 3; r = f + 1; s = t + 20; t = a + 1; x = z + 18; z = n + 7; l = n + 17; n = 4; f = k + 7; g = r + 7; q = l + 16; k = x + 18; a = q + 9. Given that n = 4, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"q": "e + 19", "h": "q + 14", "p": "h + 4", "j": "p + 6", "d": "j + 12", "r": "d + 7", "y": "e + 9", "b": "y + 17", "t": "b + 13", "z": "t + 19", "i": "z + 16", "l": "i + 4", "e": 13}, "premises": {"e": 13}, "target": "r"}, "answer": {"steps": [["d", "j + 12", "j + 19"], ["j", "p + 6", "p + 25"], ["p", "h + 4", "h + 29"], ["h", "q + 14", "q + 43"], ["q", "e + 19", "e + 62"], ["e", 13, "75"]], "target_var_name": "r", "target_value": 75, "value_dict": {"e": 13}, "is_reverse": true}} | 7,072 | 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 + 4; b = y + 17; d = j + 12; q = e + 19; r = d + 7; z = t + 19; h = q + 14; p = h + 4; i = z + 16; t = b + 13; j = p + 6; y = e + 9; e = 13. If e = 13, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = j + 12 to r, which gives r = j + 19.\n2. Substitute j = p + 6 to r, which gives r = p + 25.\n3. Substitute p = h + 4 to r, which gives r = h + 29.\n4. Substitute h = q + 14 to r, which gives r = q + 43.\n5. Substitute q = e + 19 to r, which gives r = e + 62.\n6. Substitute e = 13 to r, which gives r = 75.\n\nThus, the final answer is r = \\boxed{75}.",
"index": 7072,
"question": "Consider a system of variables where each variable is defined as follows: l = i + 4; b = y + 17; d = j + 12; q = e + 19; r = d + 7; z = t + 19; h = q + 14; p = h + 4; i = z + 16; t = b + 13; j = p + 6; y = e + 9; e = 13. If e = 13, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"i": "p + 8", "t": "i + 8", "c": "t + 4", "w": "c + 4", "k": "w + 14", "g": "k + 14", "r": "p + 10", "e": "r + 13", "h": "e + 17", "z": "h + 2", "l": "z + 14", "o": "l + 16", "p": 8}, "premises": {"p": 8}, "target": "g"}, "answer": {"steps": [["k", "w + 14", "w + 28"], ["w", "c + 4", "c + 32"], ["c", "t + 4", "t + 36"], ["t", "i + 8", "i + 44"], ["i", "p + 8", "p + 52"], ["p", 8, "60"]], "target_var_name": "g", "target_value": 60, "value_dict": {"p": 8}, "is_reverse": true}} | 7,073 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = w + 14; p = 8; c = t + 4; t = i + 8; g = k + 14; i = p + 8; w = c + 4; l = z + 14; h = e + 17; z = h + 2; e = r + 13; o = l + 16; r = p + 10. If p = 8, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = w + 14 to g, which gives g = w + 28.\n2. Substitute w = c + 4 to g, which gives g = c + 32.\n3. Substitute c = t + 4 to g, which gives g = t + 36.\n4. Substitute t = i + 8 to g, which gives g = i + 44.\n5. Substitute i = p + 8 to g, which gives g = p + 52.\n6. Substitute p = 8 to g, which gives g = 60.\n\nThus, the final answer is g = \\boxed{60}.",
"index": 7073,
"question": "Consider a system of variables where each variable is defined as follows: k = w + 14; p = 8; c = t + 4; t = i + 8; g = k + 14; i = p + 8; w = c + 4; l = z + 14; h = e + 17; z = h + 2; e = r + 13; o = l + 16; r = p + 10. If p = 8, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"v": "w + 11", "j": "v + 13", "k": "j + 10", "c": "k + 11", "y": "c + 10", "b": "y + 3", "g": "w + 17", "i": "g + 5", "e": "i + 12", "z": "e + 3", "a": "z + 19", "n": "a + 1", "w": 1}, "premises": {"w": 1}, "target": "b"}, "answer": {"steps": [["y", "c + 10", "c + 13"], ["c", "k + 11", "k + 24"], ["k", "j + 10", "j + 34"], ["j", "v + 13", "v + 47"], ["v", "w + 11", "w + 58"], ["w", 1, "59"]], "target_var_name": "b", "target_value": 59, "value_dict": {"w": 1}, "is_reverse": true}} | 7,074 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = w + 17; e = i + 12; i = g + 5; v = w + 11; y = c + 10; n = a + 1; w = 1; j = v + 13; z = e + 3; a = z + 19; b = y + 3; k = j + 10; c = k + 11. If w = 1, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = c + 10 to b, which gives b = c + 13.\n2. Substitute c = k + 11 to b, which gives b = k + 24.\n3. Substitute k = j + 10 to b, which gives b = j + 34.\n4. Substitute j = v + 13 to b, which gives b = v + 47.\n5. Substitute v = w + 11 to b, which gives b = w + 58.\n6. Substitute w = 1 to b, which gives b = 59.\n\nThus, the final answer is b = \\boxed{59}.",
"index": 7074,
"question": "Consider a system of variables where each variable is defined as follows: g = w + 17; e = i + 12; i = g + 5; v = w + 11; y = c + 10; n = a + 1; w = 1; j = v + 13; z = e + 3; a = z + 19; b = y + 3; k = j + 10; c = k + 11. If w = 1, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"f": "m + 5", "v": "f + 13", "l": "v + 7", "h": "l + 9", "u": "h + 17", "j": "u + 13", "g": "m + 15", "s": "g + 17", "i": "s + 8", "y": "i + 2", "b": "y + 2", "z": "b + 12", "m": 17}, "premises": {"m": 17}, "target": "j"}, "answer": {"steps": [["u", "h + 17", "h + 30"], ["h", "l + 9", "l + 39"], ["l", "v + 7", "v + 46"], ["v", "f + 13", "f + 59"], ["f", "m + 5", "m + 64"], ["m", 17, "81"]], "target_var_name": "j", "target_value": 81, "value_dict": {"m": 17}, "is_reverse": true}} | 7,075 | 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 = v + 7; i = s + 8; f = m + 5; g = m + 15; b = y + 2; y = i + 2; h = l + 9; m = 17; j = u + 13; v = f + 13; z = b + 12; s = g + 17; u = h + 17. If m = 17, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = h + 17 to j, which gives j = h + 30.\n2. Substitute h = l + 9 to j, which gives j = l + 39.\n3. Substitute l = v + 7 to j, which gives j = v + 46.\n4. Substitute v = f + 13 to j, which gives j = f + 59.\n5. Substitute f = m + 5 to j, which gives j = m + 64.\n6. Substitute m = 17 to j, which gives j = 81.\n\nThus, the final answer is j = \\boxed{81}.",
"index": 7075,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = v + 7; i = s + 8; f = m + 5; g = m + 15; b = y + 2; y = i + 2; h = l + 9; m = 17; j = u + 13; v = f + 13; z = b + 12; s = g + 17; u = h + 17. If m = 17, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"e": "w + 17", "y": "e + 16", "j": "y + 1", "d": "j + 20", "u": "d + 1", "h": "u + 4", "b": "w + 16", "p": "b + 4", "q": "p + 6", "f": "q + 1", "r": "f + 20", "v": "r + 11", "w": 12}, "premises": {"w": 12}, "target": "h"}, "answer": {"steps": [["u", "d + 1", "d + 5"], ["d", "j + 20", "j + 25"], ["j", "y + 1", "y + 26"], ["y", "e + 16", "e + 42"], ["e", "w + 17", "w + 59"], ["w", 12, "71"]], "target_var_name": "h", "target_value": 71, "value_dict": {"w": 12}, "is_reverse": true}} | 7,076 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = e + 16; p = b + 4; h = u + 4; e = w + 17; w = 12; r = f + 20; d = j + 20; u = d + 1; v = r + 11; j = y + 1; b = w + 16; q = p + 6; f = q + 1. Given that w = 12, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = d + 1 to h, which gives h = d + 5.\n2. Substitute d = j + 20 to h, which gives h = j + 25.\n3. Substitute j = y + 1 to h, which gives h = y + 26.\n4. Substitute y = e + 16 to h, which gives h = e + 42.\n5. Substitute e = w + 17 to h, which gives h = w + 59.\n6. Substitute w = 12 to h, which gives h = 71.\n\nThus, the final answer is h = \\boxed{71}.",
"index": 7076,
"question": "Suppose a collection of variables is related by the following definitions: y = e + 16; p = b + 4; h = u + 4; e = w + 17; w = 12; r = f + 20; d = j + 20; u = d + 1; v = r + 11; j = y + 1; b = w + 16; q = p + 6; f = q + 1. Given that w = 12, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"a": "o + 1", "c": "a + 13", "l": "c + 3", "u": "l + 18", "r": "u + 17", "d": "r + 14", "b": "o + 17", "g": "b + 1", "w": "g + 10", "q": "w + 18", "f": "q + 1", "x": "f + 17", "o": 20}, "premises": {"o": 20}, "target": "d"}, "answer": {"steps": [["r", "u + 17", "u + 31"], ["u", "l + 18", "l + 49"], ["l", "c + 3", "c + 52"], ["c", "a + 13", "a + 65"], ["a", "o + 1", "o + 66"], ["o", 20, "86"]], "target_var_name": "d", "target_value": 86, "value_dict": {"o": 20}, "is_reverse": true}} | 7,077 | 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 = o + 17; a = o + 1; d = r + 14; c = a + 13; f = q + 1; q = w + 18; o = 20; r = u + 17; x = f + 17; g = b + 1; u = l + 18; w = g + 10; l = c + 3. If o = 20, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = u + 17 to d, which gives d = u + 31.\n2. Substitute u = l + 18 to d, which gives d = l + 49.\n3. Substitute l = c + 3 to d, which gives d = c + 52.\n4. Substitute c = a + 13 to d, which gives d = a + 65.\n5. Substitute a = o + 1 to d, which gives d = o + 66.\n6. Substitute o = 20 to d, which gives d = 86.\n\nThus, the final answer is d = \\boxed{86}.",
"index": 7077,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = o + 17; a = o + 1; d = r + 14; c = a + 13; f = q + 1; q = w + 18; o = 20; r = u + 17; x = f + 17; g = b + 1; u = l + 18; w = g + 10; l = c + 3. If o = 20, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"y": "d + 17", "v": "y + 8", "a": "v + 15", "p": "a + 12", "r": "p + 1", "e": "r + 19", "n": "d + 12", "k": "n + 16", "u": "k + 20", "q": "u + 15", "g": "q + 7", "b": "g + 20", "d": 16}, "premises": {"d": 16}, "target": "e"}, "answer": {"steps": [["r", "p + 1", "p + 20"], ["p", "a + 12", "a + 32"], ["a", "v + 15", "v + 47"], ["v", "y + 8", "y + 55"], ["y", "d + 17", "d + 72"], ["d", 16, "88"]], "target_var_name": "e", "target_value": 88, "value_dict": {"d": 16}, "is_reverse": true}} | 7,078 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = p + 1; p = a + 12; u = k + 20; v = y + 8; e = r + 19; n = d + 12; g = q + 7; q = u + 15; k = n + 16; d = 16; a = v + 15; b = g + 20; y = d + 17. If d = 16, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = p + 1 to e, which gives e = p + 20.\n2. Substitute p = a + 12 to e, which gives e = a + 32.\n3. Substitute a = v + 15 to e, which gives e = v + 47.\n4. Substitute v = y + 8 to e, which gives e = y + 55.\n5. Substitute y = d + 17 to e, which gives e = d + 72.\n6. Substitute d = 16 to e, which gives e = 88.\n\nThus, the final answer is e = \\boxed{88}.",
"index": 7078,
"question": "Consider a system of variables where each variable is defined as follows: r = p + 1; p = a + 12; u = k + 20; v = y + 8; e = r + 19; n = d + 12; g = q + 7; q = u + 15; k = n + 16; d = 16; a = v + 15; b = g + 20; y = d + 17. If d = 16, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"n": "y + 4", "a": "n + 2", "c": "a + 18", "o": "c + 5", "u": "o + 11", "e": "u + 10", "m": "y + 7", "l": "m + 7", "f": "l + 9", "j": "f + 4", "q": "j + 15", "v": "q + 15", "y": 1}, "premises": {"y": 1}, "target": "e"}, "answer": {"steps": [["u", "o + 11", "o + 21"], ["o", "c + 5", "c + 26"], ["c", "a + 18", "a + 44"], ["a", "n + 2", "n + 46"], ["n", "y + 4", "y + 50"], ["y", 1, "51"]], "target_var_name": "e", "target_value": 51, "value_dict": {"y": 1}, "is_reverse": true}} | 7,079 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = a + 18; j = f + 4; q = j + 15; m = y + 7; y = 1; u = o + 11; n = y + 4; f = l + 9; l = m + 7; e = u + 10; o = c + 5; v = q + 15; a = n + 2. Given that y = 1, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = o + 11 to e, which gives e = o + 21.\n2. Substitute o = c + 5 to e, which gives e = c + 26.\n3. Substitute c = a + 18 to e, which gives e = a + 44.\n4. Substitute a = n + 2 to e, which gives e = n + 46.\n5. Substitute n = y + 4 to e, which gives e = y + 50.\n6. Substitute y = 1 to e, which gives e = 51.\n\nThus, the final answer is e = \\boxed{51}.",
"index": 7079,
"question": "Suppose a collection of variables is related by the following definitions: c = a + 18; j = f + 4; q = j + 15; m = y + 7; y = 1; u = o + 11; n = y + 4; f = l + 9; l = m + 7; e = u + 10; o = c + 5; v = q + 15; a = n + 2. Given that y = 1, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"q": "t + 2", "w": "q + 16", "u": "w + 6", "a": "u + 13", "z": "a + 14", "c": "z + 11", "h": "t + 18", "y": "h + 10", "f": "y + 9", "i": "f + 18", "s": "i + 3", "m": "s + 15", "t": 7}, "premises": {"t": 7}, "target": "c"}, "answer": {"steps": [["z", "a + 14", "a + 25"], ["a", "u + 13", "u + 38"], ["u", "w + 6", "w + 44"], ["w", "q + 16", "q + 60"], ["q", "t + 2", "t + 62"], ["t", 7, "69"]], "target_var_name": "c", "target_value": 69, "value_dict": {"t": 7}, "is_reverse": true}} | 7,080 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = h + 10; z = a + 14; i = f + 18; m = s + 15; f = y + 9; u = w + 6; c = z + 11; h = t + 18; q = t + 2; t = 7; s = i + 3; w = q + 16; a = u + 13. Given that t = 7, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = a + 14 to c, which gives c = a + 25.\n2. Substitute a = u + 13 to c, which gives c = u + 38.\n3. Substitute u = w + 6 to c, which gives c = w + 44.\n4. Substitute w = q + 16 to c, which gives c = q + 60.\n5. Substitute q = t + 2 to c, which gives c = t + 62.\n6. Substitute t = 7 to c, which gives c = 69.\n\nThus, the final answer is c = \\boxed{69}.",
"index": 7080,
"question": "Suppose a collection of variables is related by the following definitions: y = h + 10; z = a + 14; i = f + 18; m = s + 15; f = y + 9; u = w + 6; c = z + 11; h = t + 18; q = t + 2; t = 7; s = i + 3; w = q + 16; a = u + 13. Given that t = 7, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"s": "q + 20", "u": "s + 15", "y": "u + 8", "t": "y + 14", "v": "t + 15", "k": "v + 19", "j": "q + 1", "w": "j + 11", "n": "w + 20", "l": "n + 15", "b": "l + 2", "z": "b + 12", "q": 19}, "premises": {"q": 19}, "target": "k"}, "answer": {"steps": [["v", "t + 15", "t + 34"], ["t", "y + 14", "y + 48"], ["y", "u + 8", "u + 56"], ["u", "s + 15", "s + 71"], ["s", "q + 20", "q + 91"], ["q", 19, "110"]], "target_var_name": "k", "target_value": 110, "value_dict": {"q": 19}, "is_reverse": true}} | 7,081 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = w + 20; q = 19; l = n + 15; y = u + 8; z = b + 12; j = q + 1; t = y + 14; v = t + 15; k = v + 19; b = l + 2; s = q + 20; u = s + 15; w = j + 11. If q = 19, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 110,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = t + 15 to k, which gives k = t + 34.\n2. Substitute t = y + 14 to k, which gives k = y + 48.\n3. Substitute y = u + 8 to k, which gives k = u + 56.\n4. Substitute u = s + 15 to k, which gives k = s + 71.\n5. Substitute s = q + 20 to k, which gives k = q + 91.\n6. Substitute q = 19 to k, which gives k = 110.\n\nThus, the final answer is k = \\boxed{110}.",
"index": 7081,
"question": "Consider a system of variables where each variable is defined as follows: n = w + 20; q = 19; l = n + 15; y = u + 8; z = b + 12; j = q + 1; t = y + 14; v = t + 15; k = v + 19; b = l + 2; s = q + 20; u = s + 15; w = j + 11. If q = 19, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"x": "h + 3", "w": "x + 18", "r": "w + 4", "q": "r + 9", "s": "q + 12", "a": "s + 2", "m": "h + 2", "l": "m + 12", "u": "l + 10", "i": "u + 13", "y": "i + 6", "o": "y + 6", "h": 8}, "premises": {"h": 8}, "target": "a"}, "answer": {"steps": [["s", "q + 12", "q + 14"], ["q", "r + 9", "r + 23"], ["r", "w + 4", "w + 27"], ["w", "x + 18", "x + 45"], ["x", "h + 3", "h + 48"], ["h", 8, "56"]], "target_var_name": "a", "target_value": 56, "value_dict": {"h": 8}, "is_reverse": true}} | 7,082 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = u + 13; r = w + 4; o = y + 6; w = x + 18; x = h + 3; q = r + 9; l = m + 12; a = s + 2; m = h + 2; s = q + 12; u = l + 10; y = i + 6; h = 8. Given that h = 8, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = q + 12 to a, which gives a = q + 14.\n2. Substitute q = r + 9 to a, which gives a = r + 23.\n3. Substitute r = w + 4 to a, which gives a = w + 27.\n4. Substitute w = x + 18 to a, which gives a = x + 45.\n5. Substitute x = h + 3 to a, which gives a = h + 48.\n6. Substitute h = 8 to a, which gives a = 56.\n\nThus, the final answer is a = \\boxed{56}.",
"index": 7082,
"question": "Suppose a collection of variables is related by the following definitions: i = u + 13; r = w + 4; o = y + 6; w = x + 18; x = h + 3; q = r + 9; l = m + 12; a = s + 2; m = h + 2; s = q + 12; u = l + 10; y = i + 6; h = 8. Given that h = 8, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"s": "n + 20", "z": "s + 8", "g": "z + 1", "q": "g + 1", "m": "q + 16", "d": "m + 11", "f": "n + 17", "t": "f + 16", "c": "t + 1", "h": "c + 7", "u": "h + 11", "e": "u + 14", "n": 13}, "premises": {"n": 13}, "target": "d"}, "answer": {"steps": [["m", "q + 16", "q + 27"], ["q", "g + 1", "g + 28"], ["g", "z + 1", "z + 29"], ["z", "s + 8", "s + 37"], ["s", "n + 20", "n + 57"], ["n", 13, "70"]], "target_var_name": "d", "target_value": 70, "value_dict": {"n": 13}, "is_reverse": true}} | 7,083 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = h + 11; n = 13; q = g + 1; h = c + 7; e = u + 14; m = q + 16; z = s + 8; s = n + 20; d = m + 11; t = f + 16; c = t + 1; g = z + 1; f = n + 17. If n = 13, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = q + 16 to d, which gives d = q + 27.\n2. Substitute q = g + 1 to d, which gives d = g + 28.\n3. Substitute g = z + 1 to d, which gives d = z + 29.\n4. Substitute z = s + 8 to d, which gives d = s + 37.\n5. Substitute s = n + 20 to d, which gives d = n + 57.\n6. Substitute n = 13 to d, which gives d = 70.\n\nThus, the final answer is d = \\boxed{70}.",
"index": 7083,
"question": "Consider a system of variables where each variable is defined as follows: u = h + 11; n = 13; q = g + 1; h = c + 7; e = u + 14; m = q + 16; z = s + 8; s = n + 20; d = m + 11; t = f + 16; c = t + 1; g = z + 1; f = n + 17. If n = 13, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"u": "m + 15", "f": "u + 7", "h": "f + 9", "j": "h + 5", "p": "j + 16", "q": "p + 17", "e": "m + 20", "d": "e + 8", "k": "d + 11", "w": "k + 16", "i": "w + 17", "v": "i + 2", "m": 3}, "premises": {"m": 3}, "target": "q"}, "answer": {"steps": [["p", "j + 16", "j + 33"], ["j", "h + 5", "h + 38"], ["h", "f + 9", "f + 47"], ["f", "u + 7", "u + 54"], ["u", "m + 15", "m + 69"], ["m", 3, "72"]], "target_var_name": "q", "target_value": 72, "value_dict": {"m": 3}, "is_reverse": true}} | 7,084 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = m + 15; m = 3; h = f + 9; e = m + 20; p = j + 16; v = i + 2; i = w + 17; j = h + 5; w = k + 16; d = e + 8; k = d + 11; q = p + 17; f = u + 7. Given that m = 3, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = j + 16 to q, which gives q = j + 33.\n2. Substitute j = h + 5 to q, which gives q = h + 38.\n3. Substitute h = f + 9 to q, which gives q = f + 47.\n4. Substitute f = u + 7 to q, which gives q = u + 54.\n5. Substitute u = m + 15 to q, which gives q = m + 69.\n6. Substitute m = 3 to q, which gives q = 72.\n\nThus, the final answer is q = \\boxed{72}.",
"index": 7084,
"question": "Suppose a collection of variables is related by the following definitions: u = m + 15; m = 3; h = f + 9; e = m + 20; p = j + 16; v = i + 2; i = w + 17; j = h + 5; w = k + 16; d = e + 8; k = d + 11; q = p + 17; f = u + 7. Given that m = 3, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"a": "d + 12", "v": "a + 14", "p": "v + 1", "n": "p + 3", "w": "n + 16", "c": "w + 18", "g": "d + 14", "o": "g + 20", "h": "o + 3", "s": "h + 3", "i": "s + 1", "e": "i + 15", "d": 20}, "premises": {"d": 20}, "target": "c"}, "answer": {"steps": [["w", "n + 16", "n + 34"], ["n", "p + 3", "p + 37"], ["p", "v + 1", "v + 38"], ["v", "a + 14", "a + 52"], ["a", "d + 12", "d + 64"], ["d", 20, "84"]], "target_var_name": "c", "target_value": 84, "value_dict": {"d": 20}, "is_reverse": true}} | 7,085 | 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 = v + 1; e = i + 15; d = 20; i = s + 1; w = n + 16; h = o + 3; s = h + 3; o = g + 20; c = w + 18; n = p + 3; v = a + 14; g = d + 14; a = d + 12. If d = 20, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = n + 16 to c, which gives c = n + 34.\n2. Substitute n = p + 3 to c, which gives c = p + 37.\n3. Substitute p = v + 1 to c, which gives c = v + 38.\n4. Substitute v = a + 14 to c, which gives c = a + 52.\n5. Substitute a = d + 12 to c, which gives c = d + 64.\n6. Substitute d = 20 to c, which gives c = 84.\n\nThus, the final answer is c = \\boxed{84}.",
"index": 7085,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = v + 1; e = i + 15; d = 20; i = s + 1; w = n + 16; h = o + 3; s = h + 3; o = g + 20; c = w + 18; n = p + 3; v = a + 14; g = d + 14; a = d + 12. If d = 20, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"e": "x + 17", "i": "e + 3", "k": "i + 16", "w": "k + 18", "q": "w + 17", "f": "q + 9", "d": "x + 7", "a": "d + 15", "b": "a + 20", "h": "b + 14", "s": "h + 9", "j": "s + 20", "x": 3}, "premises": {"x": 3}, "target": "f"}, "answer": {"steps": [["q", "w + 17", "w + 26"], ["w", "k + 18", "k + 44"], ["k", "i + 16", "i + 60"], ["i", "e + 3", "e + 63"], ["e", "x + 17", "x + 80"], ["x", 3, "83"]], "target_var_name": "f", "target_value": 83, "value_dict": {"x": 3}, "is_reverse": true}} | 7,086 | 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 + 20; w = k + 18; i = e + 3; d = x + 7; x = 3; h = b + 14; k = i + 16; e = x + 17; q = w + 17; s = h + 9; f = q + 9; j = s + 20; a = d + 15. If x = 3, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = w + 17 to f, which gives f = w + 26.\n2. Substitute w = k + 18 to f, which gives f = k + 44.\n3. Substitute k = i + 16 to f, which gives f = i + 60.\n4. Substitute i = e + 3 to f, which gives f = e + 63.\n5. Substitute e = x + 17 to f, which gives f = x + 80.\n6. Substitute x = 3 to f, which gives f = 83.\n\nThus, the final answer is f = \\boxed{83}.",
"index": 7086,
"question": "Consider a system of variables where each variable is defined as follows: b = a + 20; w = k + 18; i = e + 3; d = x + 7; x = 3; h = b + 14; k = i + 16; e = x + 17; q = w + 17; s = h + 9; f = q + 9; j = s + 20; a = d + 15. If x = 3, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"m": "u + 4", "e": "m + 9", "s": "e + 3", "h": "s + 6", "z": "h + 7", "k": "z + 16", "a": "u + 1", "r": "a + 10", "t": "r + 15", "i": "t + 13", "n": "i + 15", "w": "n + 9", "u": 9}, "premises": {"u": 9}, "target": "k"}, "answer": {"steps": [["z", "h + 7", "h + 23"], ["h", "s + 6", "s + 29"], ["s", "e + 3", "e + 32"], ["e", "m + 9", "m + 41"], ["m", "u + 4", "u + 45"], ["u", 9, "54"]], "target_var_name": "k", "target_value": 54, "value_dict": {"u": 9}, "is_reverse": true}} | 7,087 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = m + 9; a = u + 1; w = n + 9; r = a + 10; k = z + 16; z = h + 7; u = 9; n = i + 15; h = s + 6; i = t + 13; t = r + 15; m = u + 4; s = e + 3. Given that u = 9, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = h + 7 to k, which gives k = h + 23.\n2. Substitute h = s + 6 to k, which gives k = s + 29.\n3. Substitute s = e + 3 to k, which gives k = e + 32.\n4. Substitute e = m + 9 to k, which gives k = m + 41.\n5. Substitute m = u + 4 to k, which gives k = u + 45.\n6. Substitute u = 9 to k, which gives k = 54.\n\nThus, the final answer is k = \\boxed{54}.",
"index": 7087,
"question": "Suppose a collection of variables is related by the following definitions: e = m + 9; a = u + 1; w = n + 9; r = a + 10; k = z + 16; z = h + 7; u = 9; n = i + 15; h = s + 6; i = t + 13; t = r + 15; m = u + 4; s = e + 3. Given that u = 9, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"n": "t + 10", "y": "n + 3", "p": "y + 18", "q": "p + 10", "h": "q + 19", "e": "h + 13", "x": "t + 12", "g": "x + 12", "w": "g + 14", "s": "w + 17", "r": "s + 17", "i": "r + 20", "t": 12}, "premises": {"t": 12}, "target": "e"}, "answer": {"steps": [["h", "q + 19", "q + 32"], ["q", "p + 10", "p + 42"], ["p", "y + 18", "y + 60"], ["y", "n + 3", "n + 63"], ["n", "t + 10", "t + 73"], ["t", 12, "85"]], "target_var_name": "e", "target_value": 85, "value_dict": {"t": 12}, "is_reverse": true}} | 7,088 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = r + 20; h = q + 19; e = h + 13; q = p + 10; n = t + 10; s = w + 17; y = n + 3; w = g + 14; p = y + 18; t = 12; x = t + 12; g = x + 12; r = s + 17. Given that t = 12, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = q + 19 to e, which gives e = q + 32.\n2. Substitute q = p + 10 to e, which gives e = p + 42.\n3. Substitute p = y + 18 to e, which gives e = y + 60.\n4. Substitute y = n + 3 to e, which gives e = n + 63.\n5. Substitute n = t + 10 to e, which gives e = t + 73.\n6. Substitute t = 12 to e, which gives e = 85.\n\nThus, the final answer is e = \\boxed{85}.",
"index": 7088,
"question": "Suppose a collection of variables is related by the following definitions: i = r + 20; h = q + 19; e = h + 13; q = p + 10; n = t + 10; s = w + 17; y = n + 3; w = g + 14; p = y + 18; t = 12; x = t + 12; g = x + 12; r = s + 17. Given that t = 12, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"n": "r + 1", "b": "n + 8", "s": "b + 17", "l": "s + 12", "g": "l + 15", "e": "g + 15", "d": "r + 5", "j": "d + 12", "u": "j + 12", "t": "u + 5", "h": "t + 5", "f": "h + 14", "r": 13}, "premises": {"r": 13}, "target": "e"}, "answer": {"steps": [["g", "l + 15", "l + 30"], ["l", "s + 12", "s + 42"], ["s", "b + 17", "b + 59"], ["b", "n + 8", "n + 67"], ["n", "r + 1", "r + 68"], ["r", 13, "81"]], "target_var_name": "e", "target_value": 81, "value_dict": {"r": 13}, "is_reverse": true}} | 7,089 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = b + 17; h = t + 5; b = n + 8; f = h + 14; j = d + 12; t = u + 5; g = l + 15; d = r + 5; u = j + 12; n = r + 1; l = s + 12; r = 13; e = g + 15. If r = 13, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = l + 15 to e, which gives e = l + 30.\n2. Substitute l = s + 12 to e, which gives e = s + 42.\n3. Substitute s = b + 17 to e, which gives e = b + 59.\n4. Substitute b = n + 8 to e, which gives e = n + 67.\n5. Substitute n = r + 1 to e, which gives e = r + 68.\n6. Substitute r = 13 to e, which gives e = 81.\n\nThus, the final answer is e = \\boxed{81}.",
"index": 7089,
"question": "Consider a system of variables where each variable is defined as follows: s = b + 17; h = t + 5; b = n + 8; f = h + 14; j = d + 12; t = u + 5; g = l + 15; d = r + 5; u = j + 12; n = r + 1; l = s + 12; r = 13; e = g + 15. If r = 13, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"v": "i + 5", "y": "v + 6", "j": "y + 11", "p": "j + 18", "z": "p + 20", "t": "z + 4", "d": "i + 19", "n": "d + 20", "s": "n + 16", "l": "s + 20", "q": "l + 19", "m": "q + 10", "i": 9}, "premises": {"i": 9}, "target": "t"}, "answer": {"steps": [["z", "p + 20", "p + 24"], ["p", "j + 18", "j + 42"], ["j", "y + 11", "y + 53"], ["y", "v + 6", "v + 59"], ["v", "i + 5", "i + 64"], ["i", 9, "73"]], "target_var_name": "t", "target_value": 73, "value_dict": {"i": 9}, "is_reverse": true}} | 7,090 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = s + 20; n = d + 20; z = p + 20; t = z + 4; j = y + 11; m = q + 10; s = n + 16; p = j + 18; v = i + 5; d = i + 19; q = l + 19; i = 9; y = v + 6. If i = 9, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = p + 20 to t, which gives t = p + 24.\n2. Substitute p = j + 18 to t, which gives t = j + 42.\n3. Substitute j = y + 11 to t, which gives t = y + 53.\n4. Substitute y = v + 6 to t, which gives t = v + 59.\n5. Substitute v = i + 5 to t, which gives t = i + 64.\n6. Substitute i = 9 to t, which gives t = 73.\n\nThus, the final answer is t = \\boxed{73}.",
"index": 7090,
"question": "Consider a system of variables where each variable is defined as follows: l = s + 20; n = d + 20; z = p + 20; t = z + 4; j = y + 11; m = q + 10; s = n + 16; p = j + 18; v = i + 5; d = i + 19; q = l + 19; i = 9; y = v + 6. If i = 9, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"t": "a + 10", "p": "t + 14", "n": "p + 18", "l": "n + 14", "k": "l + 17", "x": "k + 12", "j": "a + 20", "v": "j + 9", "z": "v + 2", "o": "z + 2", "h": "o + 3", "f": "h + 10", "a": 5}, "premises": {"a": 5}, "target": "x"}, "answer": {"steps": [["k", "l + 17", "l + 29"], ["l", "n + 14", "n + 43"], ["n", "p + 18", "p + 61"], ["p", "t + 14", "t + 75"], ["t", "a + 10", "a + 85"], ["a", 5, "90"]], "target_var_name": "x", "target_value": 90, "value_dict": {"a": 5}, "is_reverse": true}} | 7,091 | 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 = a + 20; a = 5; k = l + 17; o = z + 2; x = k + 12; h = o + 3; v = j + 9; z = v + 2; n = p + 18; l = n + 14; f = h + 10; p = t + 14; t = a + 10. If a = 5, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = l + 17 to x, which gives x = l + 29.\n2. Substitute l = n + 14 to x, which gives x = n + 43.\n3. Substitute n = p + 18 to x, which gives x = p + 61.\n4. Substitute p = t + 14 to x, which gives x = t + 75.\n5. Substitute t = a + 10 to x, which gives x = a + 85.\n6. Substitute a = 5 to x, which gives x = 90.\n\nThus, the final answer is x = \\boxed{90}.",
"index": 7091,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = a + 20; a = 5; k = l + 17; o = z + 2; x = k + 12; h = o + 3; v = j + 9; z = v + 2; n = p + 18; l = n + 14; f = h + 10; p = t + 14; t = a + 10. If a = 5, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"c": "f + 17", "a": "c + 20", "l": "a + 6", "p": "l + 10", "x": "p + 4", "e": "x + 17", "n": "f + 20", "m": "n + 15", "j": "m + 14", "k": "j + 5", "o": "k + 8", "g": "o + 18", "f": 15}, "premises": {"f": 15}, "target": "e"}, "answer": {"steps": [["x", "p + 4", "p + 21"], ["p", "l + 10", "l + 31"], ["l", "a + 6", "a + 37"], ["a", "c + 20", "c + 57"], ["c", "f + 17", "f + 74"], ["f", 15, "89"]], "target_var_name": "e", "target_value": 89, "value_dict": {"f": 15}, "is_reverse": true}} | 7,092 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = p + 4; l = a + 6; j = m + 14; g = o + 18; f = 15; e = x + 17; c = f + 17; p = l + 10; o = k + 8; m = n + 15; n = f + 20; k = j + 5; a = c + 20. If f = 15, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = p + 4 to e, which gives e = p + 21.\n2. Substitute p = l + 10 to e, which gives e = l + 31.\n3. Substitute l = a + 6 to e, which gives e = a + 37.\n4. Substitute a = c + 20 to e, which gives e = c + 57.\n5. Substitute c = f + 17 to e, which gives e = f + 74.\n6. Substitute f = 15 to e, which gives e = 89.\n\nThus, the final answer is e = \\boxed{89}.",
"index": 7092,
"question": "Consider a system of variables where each variable is defined as follows: x = p + 4; l = a + 6; j = m + 14; g = o + 18; f = 15; e = x + 17; c = f + 17; p = l + 10; o = k + 8; m = n + 15; n = f + 20; k = j + 5; a = c + 20. If f = 15, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"x": "u + 3", "k": "x + 4", "w": "k + 1", "e": "w + 2", "i": "e + 20", "d": "i + 10", "n": "u + 19", "z": "n + 4", "s": "z + 7", "h": "s + 6", "y": "h + 3", "j": "y + 11", "u": 20}, "premises": {"u": 20}, "target": "d"}, "answer": {"steps": [["i", "e + 20", "e + 30"], ["e", "w + 2", "w + 32"], ["w", "k + 1", "k + 33"], ["k", "x + 4", "x + 37"], ["x", "u + 3", "u + 40"], ["u", 20, "60"]], "target_var_name": "d", "target_value": 60, "value_dict": {"u": 20}, "is_reverse": true}} | 7,093 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = k + 1; k = x + 4; z = n + 4; e = w + 2; s = z + 7; x = u + 3; y = h + 3; d = i + 10; j = y + 11; u = 20; h = s + 6; n = u + 19; i = e + 20. Given that u = 20, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = e + 20 to d, which gives d = e + 30.\n2. Substitute e = w + 2 to d, which gives d = w + 32.\n3. Substitute w = k + 1 to d, which gives d = k + 33.\n4. Substitute k = x + 4 to d, which gives d = x + 37.\n5. Substitute x = u + 3 to d, which gives d = u + 40.\n6. Substitute u = 20 to d, which gives d = 60.\n\nThus, the final answer is d = \\boxed{60}.",
"index": 7093,
"question": "Suppose a collection of variables is related by the following definitions: w = k + 1; k = x + 4; z = n + 4; e = w + 2; s = z + 7; x = u + 3; y = h + 3; d = i + 10; j = y + 11; u = 20; h = s + 6; n = u + 19; i = e + 20. Given that u = 20, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"s": "h + 10", "t": "s + 20", "g": "t + 10", "c": "g + 18", "v": "c + 16", "o": "v + 15", "l": "h + 5", "n": "l + 7", "w": "n + 13", "r": "w + 15", "d": "r + 7", "k": "d + 3", "h": 7}, "premises": {"h": 7}, "target": "o"}, "answer": {"steps": [["v", "c + 16", "c + 31"], ["c", "g + 18", "g + 49"], ["g", "t + 10", "t + 59"], ["t", "s + 20", "s + 79"], ["s", "h + 10", "h + 89"], ["h", 7, "96"]], "target_var_name": "o", "target_value": 96, "value_dict": {"h": 7}, "is_reverse": true}} | 7,094 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = g + 18; s = h + 10; g = t + 10; v = c + 16; k = d + 3; r = w + 15; o = v + 15; l = h + 5; h = 7; n = l + 7; t = s + 20; d = r + 7; w = n + 13. If h = 7, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = c + 16 to o, which gives o = c + 31.\n2. Substitute c = g + 18 to o, which gives o = g + 49.\n3. Substitute g = t + 10 to o, which gives o = t + 59.\n4. Substitute t = s + 20 to o, which gives o = s + 79.\n5. Substitute s = h + 10 to o, which gives o = h + 89.\n6. Substitute h = 7 to o, which gives o = 96.\n\nThus, the final answer is o = \\boxed{96}.",
"index": 7094,
"question": "Consider a system of variables where each variable is defined as follows: c = g + 18; s = h + 10; g = t + 10; v = c + 16; k = d + 3; r = w + 15; o = v + 15; l = h + 5; h = 7; n = l + 7; t = s + 20; d = r + 7; w = n + 13. If h = 7, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"i": "t + 16", "y": "i + 7", "s": "y + 19", "v": "s + 17", "e": "v + 20", "r": "e + 10", "w": "t + 14", "j": "w + 14", "c": "j + 11", "d": "c + 18", "f": "d + 3", "m": "f + 11", "t": 1}, "premises": {"t": 1}, "target": "r"}, "answer": {"steps": [["e", "v + 20", "v + 30"], ["v", "s + 17", "s + 47"], ["s", "y + 19", "y + 66"], ["y", "i + 7", "i + 73"], ["i", "t + 16", "t + 89"], ["t", 1, "90"]], "target_var_name": "r", "target_value": 90, "value_dict": {"t": 1}, "is_reverse": true}} | 7,095 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = t + 16; v = s + 17; r = e + 10; j = w + 14; e = v + 20; y = i + 7; c = j + 11; m = f + 11; t = 1; f = d + 3; d = c + 18; s = y + 19; w = t + 14. If t = 1, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = v + 20 to r, which gives r = v + 30.\n2. Substitute v = s + 17 to r, which gives r = s + 47.\n3. Substitute s = y + 19 to r, which gives r = y + 66.\n4. Substitute y = i + 7 to r, which gives r = i + 73.\n5. Substitute i = t + 16 to r, which gives r = t + 89.\n6. Substitute t = 1 to r, which gives r = 90.\n\nThus, the final answer is r = \\boxed{90}.",
"index": 7095,
"question": "Consider a system of variables where each variable is defined as follows: i = t + 16; v = s + 17; r = e + 10; j = w + 14; e = v + 20; y = i + 7; c = j + 11; m = f + 11; t = 1; f = d + 3; d = c + 18; s = y + 19; w = t + 14. If t = 1, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"r": "h + 1", "v": "r + 9", "w": "v + 8", "p": "w + 2", "k": "p + 8", "l": "k + 13", "a": "h + 1", "s": "a + 18", "j": "s + 7", "g": "j + 4", "u": "g + 13", "z": "u + 17", "h": 1}, "premises": {"h": 1}, "target": "l"}, "answer": {"steps": [["k", "p + 8", "p + 21"], ["p", "w + 2", "w + 23"], ["w", "v + 8", "v + 31"], ["v", "r + 9", "r + 40"], ["r", "h + 1", "h + 41"], ["h", 1, "42"]], "target_var_name": "l", "target_value": 42, "value_dict": {"h": 1}, "is_reverse": true}} | 7,096 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = a + 18; l = k + 13; a = h + 1; r = h + 1; z = u + 17; h = 1; v = r + 9; p = w + 2; g = j + 4; k = p + 8; u = g + 13; w = v + 8; j = s + 7. Given that h = 1, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 42,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = p + 8 to l, which gives l = p + 21.\n2. Substitute p = w + 2 to l, which gives l = w + 23.\n3. Substitute w = v + 8 to l, which gives l = v + 31.\n4. Substitute v = r + 9 to l, which gives l = r + 40.\n5. Substitute r = h + 1 to l, which gives l = h + 41.\n6. Substitute h = 1 to l, which gives l = 42.\n\nThus, the final answer is l = \\boxed{42}.",
"index": 7096,
"question": "Suppose a collection of variables is related by the following definitions: s = a + 18; l = k + 13; a = h + 1; r = h + 1; z = u + 17; h = 1; v = r + 9; p = w + 2; g = j + 4; k = p + 8; u = g + 13; w = v + 8; j = s + 7. Given that h = 1, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"s": "r + 11", "i": "s + 2", "k": "i + 3", "t": "k + 11", "v": "t + 9", "z": "v + 5", "o": "r + 19", "u": "o + 16", "g": "u + 1", "a": "g + 13", "m": "a + 11", "e": "m + 18", "r": 11}, "premises": {"r": 11}, "target": "z"}, "answer": {"steps": [["v", "t + 9", "t + 14"], ["t", "k + 11", "k + 25"], ["k", "i + 3", "i + 28"], ["i", "s + 2", "s + 30"], ["s", "r + 11", "r + 41"], ["r", 11, "52"]], "target_var_name": "z", "target_value": 52, "value_dict": {"r": 11}, "is_reverse": true}} | 7,097 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = i + 3; m = a + 11; a = g + 13; u = o + 16; s = r + 11; z = v + 5; o = r + 19; i = s + 2; r = 11; e = m + 18; v = t + 9; t = k + 11; g = u + 1. Given that r = 11, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = t + 9 to z, which gives z = t + 14.\n2. Substitute t = k + 11 to z, which gives z = k + 25.\n3. Substitute k = i + 3 to z, which gives z = i + 28.\n4. Substitute i = s + 2 to z, which gives z = s + 30.\n5. Substitute s = r + 11 to z, which gives z = r + 41.\n6. Substitute r = 11 to z, which gives z = 52.\n\nThus, the final answer is z = \\boxed{52}.",
"index": 7097,
"question": "Suppose a collection of variables is related by the following definitions: k = i + 3; m = a + 11; a = g + 13; u = o + 16; s = r + 11; z = v + 5; o = r + 19; i = s + 2; r = 11; e = m + 18; v = t + 9; t = k + 11; g = u + 1. Given that r = 11, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"o": "f + 19", "r": "o + 1", "p": "r + 10", "y": "p + 11", "z": "y + 17", "n": "z + 18", "t": "f + 13", "q": "t + 7", "d": "q + 10", "v": "d + 14", "g": "v + 6", "a": "g + 7", "f": 2}, "premises": {"f": 2}, "target": "n"}, "answer": {"steps": [["z", "y + 17", "y + 35"], ["y", "p + 11", "p + 46"], ["p", "r + 10", "r + 56"], ["r", "o + 1", "o + 57"], ["o", "f + 19", "f + 76"], ["f", 2, "78"]], "target_var_name": "n", "target_value": 78, "value_dict": {"f": 2}, "is_reverse": true}} | 7,098 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = q + 10; a = g + 7; y = p + 11; z = y + 17; q = t + 7; v = d + 14; r = o + 1; t = f + 13; n = z + 18; f = 2; p = r + 10; o = f + 19; g = v + 6. Given that f = 2, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = y + 17 to n, which gives n = y + 35.\n2. Substitute y = p + 11 to n, which gives n = p + 46.\n3. Substitute p = r + 10 to n, which gives n = r + 56.\n4. Substitute r = o + 1 to n, which gives n = o + 57.\n5. Substitute o = f + 19 to n, which gives n = f + 76.\n6. Substitute f = 2 to n, which gives n = 78.\n\nThus, the final answer is n = \\boxed{78}.",
"index": 7098,
"question": "Suppose a collection of variables is related by the following definitions: d = q + 10; a = g + 7; y = p + 11; z = y + 17; q = t + 7; v = d + 14; r = o + 1; t = f + 13; n = z + 18; f = 2; p = r + 10; o = f + 19; g = v + 6. Given that f = 2, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"o": "k + 5", "i": "o + 4", "z": "i + 16", "r": "z + 5", "n": "r + 11", "l": "n + 20", "x": "k + 19", "g": "x + 6", "f": "g + 7", "c": "f + 8", "s": "c + 13", "a": "s + 9", "k": 20}, "premises": {"k": 20}, "target": "l"}, "answer": {"steps": [["n", "r + 11", "r + 31"], ["r", "z + 5", "z + 36"], ["z", "i + 16", "i + 52"], ["i", "o + 4", "o + 56"], ["o", "k + 5", "k + 61"], ["k", 20, "81"]], "target_var_name": "l", "target_value": 81, "value_dict": {"k": 20}, "is_reverse": true}} | 7,099 | 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 = o + 4; k = 20; x = k + 19; l = n + 20; g = x + 6; o = k + 5; c = f + 8; f = g + 7; s = c + 13; n = r + 11; z = i + 16; a = s + 9; r = z + 5. If k = 20, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = r + 11 to l, which gives l = r + 31.\n2. Substitute r = z + 5 to l, which gives l = z + 36.\n3. Substitute z = i + 16 to l, which gives l = i + 52.\n4. Substitute i = o + 4 to l, which gives l = o + 56.\n5. Substitute o = k + 5 to l, which gives l = k + 61.\n6. Substitute k = 20 to l, which gives l = 81.\n\nThus, the final answer is l = \\boxed{81}.",
"index": 7099,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = o + 4; k = 20; x = k + 19; l = n + 20; g = x + 6; o = k + 5; c = f + 8; f = g + 7; s = c + 13; n = r + 11; z = i + 16; a = s + 9; r = z + 5. If k = 20, what is the resulting value of l?",
"split": "train"
} |
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