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": {"l": "f + 5", "n": "l + 11", "c": "n + 13", "g": "c + 9", "k": "g + 11", "z": "k + 15", "u": "f + 15", "o": "u + 8", "b": "o + 9", "e": "b + 5", "v": "e + 1", "a": "v + 5", "f": 12}, "premises": {"f": 12}, "target": "z"}, "answer": {"steps": [["k", "g + 11", "g + 26"], ["g", "c + 9", "c + 35"], ["c", "n + 13", "n + 48"], ["n", "l + 11", "l + 59"], ["l", "f + 5", "f + 64"], ["f", 12, "76"]], "target_var_name": "z", "target_value": 76, "value_dict": {"f": 12}, "is_reverse": true}} | 16,600 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = e + 1; k = g + 11; z = k + 15; f = 12; l = f + 5; u = f + 15; g = c + 9; e = b + 5; b = o + 9; o = u + 8; n = l + 11; c = n + 13; a = v + 5. Given that f = 12, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = g + 11 to z, which gives z = g + 26.\n2. Substitute g = c + 9 to z, which gives z = c + 35.\n3. Substitute c = n + 13 to z, which gives z = n + 48.\n4. Substitute n = l + 11 to z, which gives z = l + 59.\n5. Substitute l = f + 5 to z, which gives z = f + 64.\n6. Substitute f = 12 to z, which gives z = 76.\n\nThus, the final answer is z = \\boxed{76}.",
"index": 16600,
"question": "Suppose a collection of variables is related by the following definitions: v = e + 1; k = g + 11; z = k + 15; f = 12; l = f + 5; u = f + 15; g = c + 9; e = b + 5; b = o + 9; o = u + 8; n = l + 11; c = n + 13; a = v + 5. Given that f = 12, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"b": "i + 2", "k": "b + 9", "z": "k + 11", "c": "z + 1", "t": "c + 20", "q": "t + 7", "n": "i + 10", "l": "n + 2", "f": "l + 15", "e": "f + 13", "o": "e + 15", "y": "o + 20", "i": 9}, "premises": {"i": 9}, "target": "q"}, "answer": {"steps": [["t", "c + 20", "c + 27"], ["c", "z + 1", "z + 28"], ["z", "k + 11", "k + 39"], ["k", "b + 9", "b + 48"], ["b", "i + 2", "i + 50"], ["i", 9, "59"]], "target_var_name": "q", "target_value": 59, "value_dict": {"i": 9}, "is_reverse": true}} | 16,601 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = k + 11; c = z + 1; e = f + 13; k = b + 9; b = i + 2; i = 9; o = e + 15; l = n + 2; q = t + 7; f = l + 15; n = i + 10; y = o + 20; t = c + 20. Given that i = 9, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = c + 20 to q, which gives q = c + 27.\n2. Substitute c = z + 1 to q, which gives q = z + 28.\n3. Substitute z = k + 11 to q, which gives q = k + 39.\n4. Substitute k = b + 9 to q, which gives q = b + 48.\n5. Substitute b = i + 2 to q, which gives q = i + 50.\n6. Substitute i = 9 to q, which gives q = 59.\n\nThus, the final answer is q = \\boxed{59}.",
"index": 16601,
"question": "Suppose a collection of variables is related by the following definitions: z = k + 11; c = z + 1; e = f + 13; k = b + 9; b = i + 2; i = 9; o = e + 15; l = n + 2; q = t + 7; f = l + 15; n = i + 10; y = o + 20; t = c + 20. Given that i = 9, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"t": "l + 6", "f": "t + 1", "y": "f + 6", "a": "y + 9", "s": "a + 3", "q": "s + 19", "w": "l + 7", "c": "w + 20", "d": "c + 3", "g": "d + 1", "v": "g + 19", "o": "v + 20", "l": 3}, "premises": {"l": 3}, "target": "q"}, "answer": {"steps": [["s", "a + 3", "a + 22"], ["a", "y + 9", "y + 31"], ["y", "f + 6", "f + 37"], ["f", "t + 1", "t + 38"], ["t", "l + 6", "l + 44"], ["l", 3, "47"]], "target_var_name": "q", "target_value": 47, "value_dict": {"l": 3}, "is_reverse": true}} | 16,602 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = t + 1; l = 3; w = l + 7; c = w + 20; g = d + 1; s = a + 3; o = v + 20; q = s + 19; y = f + 6; t = l + 6; d = c + 3; v = g + 19; a = y + 9. If l = 3, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = a + 3 to q, which gives q = a + 22.\n2. Substitute a = y + 9 to q, which gives q = y + 31.\n3. Substitute y = f + 6 to q, which gives q = f + 37.\n4. Substitute f = t + 1 to q, which gives q = t + 38.\n5. Substitute t = l + 6 to q, which gives q = l + 44.\n6. Substitute l = 3 to q, which gives q = 47.\n\nThus, the final answer is q = \\boxed{47}.",
"index": 16602,
"question": "Consider a system of variables where each variable is defined as follows: f = t + 1; l = 3; w = l + 7; c = w + 20; g = d + 1; s = a + 3; o = v + 20; q = s + 19; y = f + 6; t = l + 6; d = c + 3; v = g + 19; a = y + 9. If l = 3, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"f": "r + 16", "m": "f + 2", "y": "m + 2", "x": "y + 18", "v": "x + 15", "o": "v + 6", "g": "r + 10", "u": "g + 12", "b": "u + 18", "a": "b + 19", "l": "a + 18", "z": "l + 12", "r": 8}, "premises": {"r": 8}, "target": "o"}, "answer": {"steps": [["v", "x + 15", "x + 21"], ["x", "y + 18", "y + 39"], ["y", "m + 2", "m + 41"], ["m", "f + 2", "f + 43"], ["f", "r + 16", "r + 59"], ["r", 8, "67"]], "target_var_name": "o", "target_value": 67, "value_dict": {"r": 8}, "is_reverse": true}} | 16,603 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = v + 6; g = r + 10; a = b + 19; l = a + 18; z = l + 12; f = r + 16; m = f + 2; x = y + 18; u = g + 12; r = 8; y = m + 2; b = u + 18; v = x + 15. Given that r = 8, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = x + 15 to o, which gives o = x + 21.\n2. Substitute x = y + 18 to o, which gives o = y + 39.\n3. Substitute y = m + 2 to o, which gives o = m + 41.\n4. Substitute m = f + 2 to o, which gives o = f + 43.\n5. Substitute f = r + 16 to o, which gives o = r + 59.\n6. Substitute r = 8 to o, which gives o = 67.\n\nThus, the final answer is o = \\boxed{67}.",
"index": 16603,
"question": "Suppose a collection of variables is related by the following definitions: o = v + 6; g = r + 10; a = b + 19; l = a + 18; z = l + 12; f = r + 16; m = f + 2; x = y + 18; u = g + 12; r = 8; y = m + 2; b = u + 18; v = x + 15. Given that r = 8, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"s": "r + 17", "e": "s + 3", "v": "e + 4", "f": "v + 16", "k": "f + 14", "y": "k + 12", "j": "r + 14", "w": "j + 5", "l": "w + 18", "d": "l + 8", "p": "d + 17", "g": "p + 8", "r": 8}, "premises": {"r": 8}, "target": "y"}, "answer": {"steps": [["k", "f + 14", "f + 26"], ["f", "v + 16", "v + 42"], ["v", "e + 4", "e + 46"], ["e", "s + 3", "s + 49"], ["s", "r + 17", "r + 66"], ["r", 8, "74"]], "target_var_name": "y", "target_value": 74, "value_dict": {"r": 8}, "is_reverse": true}} | 16,604 | 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 = e + 4; l = w + 18; k = f + 14; p = d + 17; s = r + 17; e = s + 3; f = v + 16; r = 8; y = k + 12; g = p + 8; j = r + 14; w = j + 5; d = l + 8. If r = 8, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = f + 14 to y, which gives y = f + 26.\n2. Substitute f = v + 16 to y, which gives y = v + 42.\n3. Substitute v = e + 4 to y, which gives y = e + 46.\n4. Substitute e = s + 3 to y, which gives y = s + 49.\n5. Substitute s = r + 17 to y, which gives y = r + 66.\n6. Substitute r = 8 to y, which gives y = 74.\n\nThus, the final answer is y = \\boxed{74}.",
"index": 16604,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = e + 4; l = w + 18; k = f + 14; p = d + 17; s = r + 17; e = s + 3; f = v + 16; r = 8; y = k + 12; g = p + 8; j = r + 14; w = j + 5; d = l + 8. If r = 8, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"i": "r + 19", "s": "i + 8", "p": "s + 3", "h": "p + 4", "m": "h + 3", "w": "m + 5", "q": "r + 20", "d": "q + 8", "t": "d + 1", "y": "t + 11", "g": "y + 3", "c": "g + 19", "r": 17}, "premises": {"r": 17}, "target": "w"}, "answer": {"steps": [["m", "h + 3", "h + 8"], ["h", "p + 4", "p + 12"], ["p", "s + 3", "s + 15"], ["s", "i + 8", "i + 23"], ["i", "r + 19", "r + 42"], ["r", 17, "59"]], "target_var_name": "w", "target_value": 59, "value_dict": {"r": 17}, "is_reverse": true}} | 16,605 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = m + 5; m = h + 3; i = r + 19; g = y + 3; q = r + 20; s = i + 8; c = g + 19; p = s + 3; d = q + 8; h = p + 4; y = t + 11; t = d + 1; r = 17. Given that r = 17, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = h + 3 to w, which gives w = h + 8.\n2. Substitute h = p + 4 to w, which gives w = p + 12.\n3. Substitute p = s + 3 to w, which gives w = s + 15.\n4. Substitute s = i + 8 to w, which gives w = i + 23.\n5. Substitute i = r + 19 to w, which gives w = r + 42.\n6. Substitute r = 17 to w, which gives w = 59.\n\nThus, the final answer is w = \\boxed{59}.",
"index": 16605,
"question": "Suppose a collection of variables is related by the following definitions: w = m + 5; m = h + 3; i = r + 19; g = y + 3; q = r + 20; s = i + 8; c = g + 19; p = s + 3; d = q + 8; h = p + 4; y = t + 11; t = d + 1; r = 17. Given that r = 17, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"l": "a + 9", "g": "l + 18", "y": "g + 13", "d": "y + 16", "t": "d + 12", "k": "t + 3", "p": "a + 3", "c": "p + 3", "o": "c + 12", "f": "o + 10", "m": "f + 15", "w": "m + 2", "a": 11}, "premises": {"a": 11}, "target": "k"}, "answer": {"steps": [["t", "d + 12", "d + 15"], ["d", "y + 16", "y + 31"], ["y", "g + 13", "g + 44"], ["g", "l + 18", "l + 62"], ["l", "a + 9", "a + 71"], ["a", 11, "82"]], "target_var_name": "k", "target_value": 82, "value_dict": {"a": 11}, "is_reverse": true}} | 16,606 | 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 = 11; y = g + 13; t = d + 12; f = o + 10; d = y + 16; o = c + 12; c = p + 3; w = m + 2; k = t + 3; m = f + 15; p = a + 3; g = l + 18; l = a + 9. If a = 11, 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 t = d + 12 to k, which gives k = d + 15.\n2. Substitute d = y + 16 to k, which gives k = y + 31.\n3. Substitute y = g + 13 to k, which gives k = g + 44.\n4. Substitute g = l + 18 to k, which gives k = l + 62.\n5. Substitute l = a + 9 to k, which gives k = a + 71.\n6. Substitute a = 11 to k, which gives k = 82.\n\nThus, the final answer is k = \\boxed{82}.",
"index": 16606,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = 11; y = g + 13; t = d + 12; f = o + 10; d = y + 16; o = c + 12; c = p + 3; w = m + 2; k = t + 3; m = f + 15; p = a + 3; g = l + 18; l = a + 9. If a = 11, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"e": "f + 4", "p": "e + 2", "l": "p + 8", "n": "l + 6", "x": "n + 9", "y": "x + 16", "o": "f + 16", "i": "o + 18", "h": "i + 7", "j": "h + 11", "v": "j + 1", "c": "v + 13", "f": 3}, "premises": {"f": 3}, "target": "y"}, "answer": {"steps": [["x", "n + 9", "n + 25"], ["n", "l + 6", "l + 31"], ["l", "p + 8", "p + 39"], ["p", "e + 2", "e + 41"], ["e", "f + 4", "f + 45"], ["f", 3, "48"]], "target_var_name": "y", "target_value": 48, "value_dict": {"f": 3}, "is_reverse": true}} | 16,607 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = i + 7; f = 3; y = x + 16; e = f + 4; n = l + 6; l = p + 8; v = j + 1; p = e + 2; i = o + 18; x = n + 9; c = v + 13; o = f + 16; j = h + 11. Given that f = 3, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = n + 9 to y, which gives y = n + 25.\n2. Substitute n = l + 6 to y, which gives y = l + 31.\n3. Substitute l = p + 8 to y, which gives y = p + 39.\n4. Substitute p = e + 2 to y, which gives y = e + 41.\n5. Substitute e = f + 4 to y, which gives y = f + 45.\n6. Substitute f = 3 to y, which gives y = 48.\n\nThus, the final answer is y = \\boxed{48}.",
"index": 16607,
"question": "Suppose a collection of variables is related by the following definitions: h = i + 7; f = 3; y = x + 16; e = f + 4; n = l + 6; l = p + 8; v = j + 1; p = e + 2; i = o + 18; x = n + 9; c = v + 13; o = f + 16; j = h + 11. Given that f = 3, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"h": "o + 8", "x": "h + 16", "e": "x + 7", "d": "e + 14", "s": "d + 14", "l": "s + 12", "y": "o + 15", "z": "y + 19", "m": "z + 14", "g": "m + 2", "c": "g + 16", "n": "c + 3", "o": 1}, "premises": {"o": 1}, "target": "l"}, "answer": {"steps": [["s", "d + 14", "d + 26"], ["d", "e + 14", "e + 40"], ["e", "x + 7", "x + 47"], ["x", "h + 16", "h + 63"], ["h", "o + 8", "o + 71"], ["o", 1, "72"]], "target_var_name": "l", "target_value": 72, "value_dict": {"o": 1}, "is_reverse": true}} | 16,608 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = g + 16; h = o + 8; z = y + 19; g = m + 2; x = h + 16; e = x + 7; y = o + 15; m = z + 14; o = 1; d = e + 14; s = d + 14; n = c + 3; l = s + 12. If o = 1, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = d + 14 to l, which gives l = d + 26.\n2. Substitute d = e + 14 to l, which gives l = e + 40.\n3. Substitute e = x + 7 to l, which gives l = x + 47.\n4. Substitute x = h + 16 to l, which gives l = h + 63.\n5. Substitute h = o + 8 to l, which gives l = o + 71.\n6. Substitute o = 1 to l, which gives l = 72.\n\nThus, the final answer is l = \\boxed{72}.",
"index": 16608,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = g + 16; h = o + 8; z = y + 19; g = m + 2; x = h + 16; e = x + 7; y = o + 15; m = z + 14; o = 1; d = e + 14; s = d + 14; n = c + 3; l = s + 12. If o = 1, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"c": "f + 14", "z": "c + 4", "i": "z + 1", "p": "i + 9", "a": "p + 13", "g": "a + 17", "h": "f + 8", "s": "h + 15", "e": "s + 6", "r": "e + 16", "o": "r + 17", "w": "o + 15", "f": 17}, "premises": {"f": 17}, "target": "g"}, "answer": {"steps": [["a", "p + 13", "p + 30"], ["p", "i + 9", "i + 39"], ["i", "z + 1", "z + 40"], ["z", "c + 4", "c + 44"], ["c", "f + 14", "f + 58"], ["f", 17, "75"]], "target_var_name": "g", "target_value": 75, "value_dict": {"f": 17}, "is_reverse": true}} | 16,609 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = f + 14; p = i + 9; z = c + 4; e = s + 6; f = 17; a = p + 13; s = h + 15; g = a + 17; o = r + 17; h = f + 8; r = e + 16; i = z + 1; w = o + 15. If f = 17, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = p + 13 to g, which gives g = p + 30.\n2. Substitute p = i + 9 to g, which gives g = i + 39.\n3. Substitute i = z + 1 to g, which gives g = z + 40.\n4. Substitute z = c + 4 to g, which gives g = c + 44.\n5. Substitute c = f + 14 to g, which gives g = f + 58.\n6. Substitute f = 17 to g, which gives g = 75.\n\nThus, the final answer is g = \\boxed{75}.",
"index": 16609,
"question": "Consider a system of variables where each variable is defined as follows: c = f + 14; p = i + 9; z = c + 4; e = s + 6; f = 17; a = p + 13; s = h + 15; g = a + 17; o = r + 17; h = f + 8; r = e + 16; i = z + 1; w = o + 15. If f = 17, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"r": "t + 13", "i": "r + 19", "m": "i + 20", "n": "m + 7", "e": "n + 2", "f": "e + 18", "q": "t + 8", "s": "q + 10", "h": "s + 14", "x": "h + 12", "o": "x + 16", "a": "o + 8", "t": 5}, "premises": {"t": 5}, "target": "f"}, "answer": {"steps": [["e", "n + 2", "n + 20"], ["n", "m + 7", "m + 27"], ["m", "i + 20", "i + 47"], ["i", "r + 19", "r + 66"], ["r", "t + 13", "t + 79"], ["t", 5, "84"]], "target_var_name": "f", "target_value": 84, "value_dict": {"t": 5}, "is_reverse": true}} | 16,610 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = h + 12; t = 5; i = r + 19; s = q + 10; n = m + 7; f = e + 18; m = i + 20; e = n + 2; a = o + 8; h = s + 14; o = x + 16; r = t + 13; q = t + 8. Given that t = 5, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = n + 2 to f, which gives f = n + 20.\n2. Substitute n = m + 7 to f, which gives f = m + 27.\n3. Substitute m = i + 20 to f, which gives f = i + 47.\n4. Substitute i = r + 19 to f, which gives f = r + 66.\n5. Substitute r = t + 13 to f, which gives f = t + 79.\n6. Substitute t = 5 to f, which gives f = 84.\n\nThus, the final answer is f = \\boxed{84}.",
"index": 16610,
"question": "Suppose a collection of variables is related by the following definitions: x = h + 12; t = 5; i = r + 19; s = q + 10; n = m + 7; f = e + 18; m = i + 20; e = n + 2; a = o + 8; h = s + 14; o = x + 16; r = t + 13; q = t + 8. Given that t = 5, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"s": "f + 1", "c": "s + 8", "r": "c + 10", "n": "r + 15", "y": "n + 11", "t": "y + 5", "g": "f + 7", "z": "g + 16", "i": "z + 16", "x": "i + 17", "m": "x + 3", "o": "m + 2", "f": 12}, "premises": {"f": 12}, "target": "t"}, "answer": {"steps": [["y", "n + 11", "n + 16"], ["n", "r + 15", "r + 31"], ["r", "c + 10", "c + 41"], ["c", "s + 8", "s + 49"], ["s", "f + 1", "f + 50"], ["f", 12, "62"]], "target_var_name": "t", "target_value": 62, "value_dict": {"f": 12}, "is_reverse": true}} | 16,611 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = y + 5; r = c + 10; c = s + 8; m = x + 3; z = g + 16; s = f + 1; o = m + 2; y = n + 11; i = z + 16; g = f + 7; x = i + 17; n = r + 15; f = 12. If f = 12, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = n + 11 to t, which gives t = n + 16.\n2. Substitute n = r + 15 to t, which gives t = r + 31.\n3. Substitute r = c + 10 to t, which gives t = c + 41.\n4. Substitute c = s + 8 to t, which gives t = s + 49.\n5. Substitute s = f + 1 to t, which gives t = f + 50.\n6. Substitute f = 12 to t, which gives t = 62.\n\nThus, the final answer is t = \\boxed{62}.",
"index": 16611,
"question": "Consider a system of variables where each variable is defined as follows: t = y + 5; r = c + 10; c = s + 8; m = x + 3; z = g + 16; s = f + 1; o = m + 2; y = n + 11; i = z + 16; g = f + 7; x = i + 17; n = r + 15; f = 12. If f = 12, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"c": "u + 17", "w": "c + 13", "g": "w + 15", "k": "g + 4", "b": "k + 7", "v": "b + 11", "y": "u + 1", "x": "y + 17", "p": "x + 10", "s": "p + 20", "l": "s + 2", "e": "l + 17", "u": 8}, "premises": {"u": 8}, "target": "v"}, "answer": {"steps": [["b", "k + 7", "k + 18"], ["k", "g + 4", "g + 22"], ["g", "w + 15", "w + 37"], ["w", "c + 13", "c + 50"], ["c", "u + 17", "u + 67"], ["u", 8, "75"]], "target_var_name": "v", "target_value": 75, "value_dict": {"u": 8}, "is_reverse": true}} | 16,612 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = u + 1; l = s + 2; k = g + 4; v = b + 11; e = l + 17; u = 8; w = c + 13; b = k + 7; c = u + 17; x = y + 17; s = p + 20; p = x + 10; g = w + 15. If u = 8, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = k + 7 to v, which gives v = k + 18.\n2. Substitute k = g + 4 to v, which gives v = g + 22.\n3. Substitute g = w + 15 to v, which gives v = w + 37.\n4. Substitute w = c + 13 to v, which gives v = c + 50.\n5. Substitute c = u + 17 to v, which gives v = u + 67.\n6. Substitute u = 8 to v, which gives v = 75.\n\nThus, the final answer is v = \\boxed{75}.",
"index": 16612,
"question": "Consider a system of variables where each variable is defined as follows: y = u + 1; l = s + 2; k = g + 4; v = b + 11; e = l + 17; u = 8; w = c + 13; b = k + 7; c = u + 17; x = y + 17; s = p + 20; p = x + 10; g = w + 15. If u = 8, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"g": "t + 7", "s": "g + 17", "d": "s + 6", "u": "d + 1", "c": "u + 4", "p": "c + 2", "k": "t + 10", "m": "k + 11", "h": "m + 19", "n": "h + 14", "w": "n + 1", "a": "w + 4", "t": 17}, "premises": {"t": 17}, "target": "p"}, "answer": {"steps": [["c", "u + 4", "u + 6"], ["u", "d + 1", "d + 7"], ["d", "s + 6", "s + 13"], ["s", "g + 17", "g + 30"], ["g", "t + 7", "t + 37"], ["t", 17, "54"]], "target_var_name": "p", "target_value": 54, "value_dict": {"t": 17}, "is_reverse": true}} | 16,613 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = t + 7; c = u + 4; s = g + 17; t = 17; h = m + 19; p = c + 2; w = n + 1; a = w + 4; u = d + 1; n = h + 14; k = t + 10; m = k + 11; d = s + 6. If t = 17, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = u + 4 to p, which gives p = u + 6.\n2. Substitute u = d + 1 to p, which gives p = d + 7.\n3. Substitute d = s + 6 to p, which gives p = s + 13.\n4. Substitute s = g + 17 to p, which gives p = g + 30.\n5. Substitute g = t + 7 to p, which gives p = t + 37.\n6. Substitute t = 17 to p, which gives p = 54.\n\nThus, the final answer is p = \\boxed{54}.",
"index": 16613,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = t + 7; c = u + 4; s = g + 17; t = 17; h = m + 19; p = c + 2; w = n + 1; a = w + 4; u = d + 1; n = h + 14; k = t + 10; m = k + 11; d = s + 6. If t = 17, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"m": "n + 9", "r": "m + 10", "v": "r + 9", "s": "v + 10", "x": "s + 15", "o": "x + 18", "g": "n + 12", "b": "g + 13", "h": "b + 7", "z": "h + 14", "y": "z + 19", "w": "y + 8", "n": 7}, "premises": {"n": 7}, "target": "o"}, "answer": {"steps": [["x", "s + 15", "s + 33"], ["s", "v + 10", "v + 43"], ["v", "r + 9", "r + 52"], ["r", "m + 10", "m + 62"], ["m", "n + 9", "n + 71"], ["n", 7, "78"]], "target_var_name": "o", "target_value": 78, "value_dict": {"n": 7}, "is_reverse": true}} | 16,614 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = n + 9; v = r + 9; y = z + 19; b = g + 13; r = m + 10; z = h + 14; g = n + 12; n = 7; x = s + 15; s = v + 10; w = y + 8; o = x + 18; h = b + 7. If n = 7, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = s + 15 to o, which gives o = s + 33.\n2. Substitute s = v + 10 to o, which gives o = v + 43.\n3. Substitute v = r + 9 to o, which gives o = r + 52.\n4. Substitute r = m + 10 to o, which gives o = m + 62.\n5. Substitute m = n + 9 to o, which gives o = n + 71.\n6. Substitute n = 7 to o, which gives o = 78.\n\nThus, the final answer is o = \\boxed{78}.",
"index": 16614,
"question": "Consider a system of variables where each variable is defined as follows: m = n + 9; v = r + 9; y = z + 19; b = g + 13; r = m + 10; z = h + 14; g = n + 12; n = 7; x = s + 15; s = v + 10; w = y + 8; o = x + 18; h = b + 7. If n = 7, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"q": "a + 7", "y": "q + 20", "v": "y + 4", "t": "v + 11", "j": "t + 2", "w": "j + 5", "x": "a + 9", "o": "x + 15", "l": "o + 15", "e": "l + 11", "z": "e + 6", "m": "z + 12", "a": 2}, "premises": {"a": 2}, "target": "w"}, "answer": {"steps": [["j", "t + 2", "t + 7"], ["t", "v + 11", "v + 18"], ["v", "y + 4", "y + 22"], ["y", "q + 20", "q + 42"], ["q", "a + 7", "a + 49"], ["a", 2, "51"]], "target_var_name": "w", "target_value": 51, "value_dict": {"a": 2}, "is_reverse": true}} | 16,615 | 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 = y + 4; y = q + 20; x = a + 9; o = x + 15; z = e + 6; q = a + 7; w = j + 5; t = v + 11; j = t + 2; m = z + 12; e = l + 11; l = o + 15; a = 2. If a = 2, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = t + 2 to w, which gives w = t + 7.\n2. Substitute t = v + 11 to w, which gives w = v + 18.\n3. Substitute v = y + 4 to w, which gives w = y + 22.\n4. Substitute y = q + 20 to w, which gives w = q + 42.\n5. Substitute q = a + 7 to w, which gives w = a + 49.\n6. Substitute a = 2 to w, which gives w = 51.\n\nThus, the final answer is w = \\boxed{51}.",
"index": 16615,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = y + 4; y = q + 20; x = a + 9; o = x + 15; z = e + 6; q = a + 7; w = j + 5; t = v + 11; j = t + 2; m = z + 12; e = l + 11; l = o + 15; a = 2. If a = 2, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"f": "b + 14", "h": "f + 10", "p": "h + 20", "m": "p + 9", "z": "m + 11", "a": "z + 9", "e": "b + 8", "u": "e + 9", "s": "u + 19", "x": "s + 5", "d": "x + 12", "c": "d + 2", "b": 11}, "premises": {"b": 11}, "target": "a"}, "answer": {"steps": [["z", "m + 11", "m + 20"], ["m", "p + 9", "p + 29"], ["p", "h + 20", "h + 49"], ["h", "f + 10", "f + 59"], ["f", "b + 14", "b + 73"], ["b", 11, "84"]], "target_var_name": "a", "target_value": 84, "value_dict": {"b": 11}, "is_reverse": true}} | 16,616 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = s + 5; c = d + 2; s = u + 19; z = m + 11; m = p + 9; f = b + 14; a = z + 9; u = e + 9; d = x + 12; b = 11; p = h + 20; e = b + 8; h = f + 10. Given that b = 11, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = m + 11 to a, which gives a = m + 20.\n2. Substitute m = p + 9 to a, which gives a = p + 29.\n3. Substitute p = h + 20 to a, which gives a = h + 49.\n4. Substitute h = f + 10 to a, which gives a = f + 59.\n5. Substitute f = b + 14 to a, which gives a = b + 73.\n6. Substitute b = 11 to a, which gives a = 84.\n\nThus, the final answer is a = \\boxed{84}.",
"index": 16616,
"question": "Suppose a collection of variables is related by the following definitions: x = s + 5; c = d + 2; s = u + 19; z = m + 11; m = p + 9; f = b + 14; a = z + 9; u = e + 9; d = x + 12; b = 11; p = h + 20; e = b + 8; h = f + 10. Given that b = 11, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"b": "x + 20", "i": "b + 1", "h": "i + 13", "e": "h + 7", "a": "e + 4", "g": "a + 14", "m": "x + 12", "z": "m + 2", "q": "z + 1", "o": "q + 19", "f": "o + 15", "d": "f + 13", "x": 1}, "premises": {"x": 1}, "target": "g"}, "answer": {"steps": [["a", "e + 4", "e + 18"], ["e", "h + 7", "h + 25"], ["h", "i + 13", "i + 38"], ["i", "b + 1", "b + 39"], ["b", "x + 20", "x + 59"], ["x", 1, "60"]], "target_var_name": "g", "target_value": 60, "value_dict": {"x": 1}, "is_reverse": true}} | 16,617 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = o + 15; i = b + 1; q = z + 1; o = q + 19; x = 1; h = i + 13; g = a + 14; b = x + 20; z = m + 2; d = f + 13; a = e + 4; e = h + 7; m = x + 12. Given that x = 1, find 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 a = e + 4 to g, which gives g = e + 18.\n2. Substitute e = h + 7 to g, which gives g = h + 25.\n3. Substitute h = i + 13 to g, which gives g = i + 38.\n4. Substitute i = b + 1 to g, which gives g = b + 39.\n5. Substitute b = x + 20 to g, which gives g = x + 59.\n6. Substitute x = 1 to g, which gives g = 60.\n\nThus, the final answer is g = \\boxed{60}.",
"index": 16617,
"question": "Suppose a collection of variables is related by the following definitions: f = o + 15; i = b + 1; q = z + 1; o = q + 19; x = 1; h = i + 13; g = a + 14; b = x + 20; z = m + 2; d = f + 13; a = e + 4; e = h + 7; m = x + 12. Given that x = 1, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"q": "u + 6", "o": "q + 19", "d": "o + 14", "l": "d + 12", "v": "l + 8", "h": "v + 12", "b": "u + 14", "z": "b + 20", "y": "z + 4", "a": "y + 3", "s": "a + 8", "r": "s + 7", "u": 16}, "premises": {"u": 16}, "target": "h"}, "answer": {"steps": [["v", "l + 8", "l + 20"], ["l", "d + 12", "d + 32"], ["d", "o + 14", "o + 46"], ["o", "q + 19", "q + 65"], ["q", "u + 6", "u + 71"], ["u", 16, "87"]], "target_var_name": "h", "target_value": 87, "value_dict": {"u": 16}, "is_reverse": true}} | 16,618 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = u + 14; o = q + 19; z = b + 20; v = l + 8; d = o + 14; u = 16; q = u + 6; h = v + 12; r = s + 7; y = z + 4; l = d + 12; s = a + 8; a = y + 3. Given that u = 16, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = l + 8 to h, which gives h = l + 20.\n2. Substitute l = d + 12 to h, which gives h = d + 32.\n3. Substitute d = o + 14 to h, which gives h = o + 46.\n4. Substitute o = q + 19 to h, which gives h = q + 65.\n5. Substitute q = u + 6 to h, which gives h = u + 71.\n6. Substitute u = 16 to h, which gives h = 87.\n\nThus, the final answer is h = \\boxed{87}.",
"index": 16618,
"question": "Suppose a collection of variables is related by the following definitions: b = u + 14; o = q + 19; z = b + 20; v = l + 8; d = o + 14; u = 16; q = u + 6; h = v + 12; r = s + 7; y = z + 4; l = d + 12; s = a + 8; a = y + 3. Given that u = 16, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"w": "q + 4", "n": "w + 5", "v": "n + 18", "t": "v + 2", "m": "t + 20", "x": "m + 5", "o": "q + 1", "i": "o + 12", "c": "i + 1", "h": "c + 16", "d": "h + 7", "b": "d + 1", "q": 1}, "premises": {"q": 1}, "target": "x"}, "answer": {"steps": [["m", "t + 20", "t + 25"], ["t", "v + 2", "v + 27"], ["v", "n + 18", "n + 45"], ["n", "w + 5", "w + 50"], ["w", "q + 4", "q + 54"], ["q", 1, "55"]], "target_var_name": "x", "target_value": 55, "value_dict": {"q": 1}, "is_reverse": true}} | 16,619 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = i + 1; o = q + 1; n = w + 5; i = o + 12; t = v + 2; b = d + 1; d = h + 7; x = m + 5; w = q + 4; v = n + 18; h = c + 16; q = 1; m = t + 20. Given that q = 1, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = t + 20 to x, which gives x = t + 25.\n2. Substitute t = v + 2 to x, which gives x = v + 27.\n3. Substitute v = n + 18 to x, which gives x = n + 45.\n4. Substitute n = w + 5 to x, which gives x = w + 50.\n5. Substitute w = q + 4 to x, which gives x = q + 54.\n6. Substitute q = 1 to x, which gives x = 55.\n\nThus, the final answer is x = \\boxed{55}.",
"index": 16619,
"question": "Suppose a collection of variables is related by the following definitions: c = i + 1; o = q + 1; n = w + 5; i = o + 12; t = v + 2; b = d + 1; d = h + 7; x = m + 5; w = q + 4; v = n + 18; h = c + 16; q = 1; m = t + 20. Given that q = 1, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"l": "u + 7", "j": "l + 8", "h": "j + 16", "d": "h + 20", "s": "d + 10", "x": "s + 7", "k": "u + 9", "c": "k + 6", "m": "c + 3", "f": "m + 17", "o": "f + 1", "v": "o + 9", "u": 5}, "premises": {"u": 5}, "target": "x"}, "answer": {"steps": [["s", "d + 10", "d + 17"], ["d", "h + 20", "h + 37"], ["h", "j + 16", "j + 53"], ["j", "l + 8", "l + 61"], ["l", "u + 7", "u + 68"], ["u", 5, "73"]], "target_var_name": "x", "target_value": 73, "value_dict": {"u": 5}, "is_reverse": true}} | 16,620 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = k + 6; u = 5; o = f + 1; d = h + 20; f = m + 17; j = l + 8; x = s + 7; k = u + 9; h = j + 16; s = d + 10; m = c + 3; v = o + 9; l = u + 7. If u = 5, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = d + 10 to x, which gives x = d + 17.\n2. Substitute d = h + 20 to x, which gives x = h + 37.\n3. Substitute h = j + 16 to x, which gives x = j + 53.\n4. Substitute j = l + 8 to x, which gives x = l + 61.\n5. Substitute l = u + 7 to x, which gives x = u + 68.\n6. Substitute u = 5 to x, which gives x = 73.\n\nThus, the final answer is x = \\boxed{73}.",
"index": 16620,
"question": "Consider a system of variables where each variable is defined as follows: c = k + 6; u = 5; o = f + 1; d = h + 20; f = m + 17; j = l + 8; x = s + 7; k = u + 9; h = j + 16; s = d + 10; m = c + 3; v = o + 9; l = u + 7. If u = 5, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"a": "r + 13", "u": "a + 20", "x": "u + 19", "p": "x + 4", "y": "p + 20", "k": "y + 16", "c": "r + 5", "i": "c + 13", "d": "i + 16", "h": "d + 3", "v": "h + 8", "b": "v + 6", "r": 20}, "premises": {"r": 20}, "target": "k"}, "answer": {"steps": [["y", "p + 20", "p + 36"], ["p", "x + 4", "x + 40"], ["x", "u + 19", "u + 59"], ["u", "a + 20", "a + 79"], ["a", "r + 13", "r + 92"], ["r", 20, "112"]], "target_var_name": "k", "target_value": 112, "value_dict": {"r": 20}, "is_reverse": true}} | 16,621 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = i + 16; i = c + 13; a = r + 13; x = u + 19; v = h + 8; y = p + 20; p = x + 4; c = r + 5; u = a + 20; b = v + 6; k = y + 16; h = d + 3; r = 20. Given that r = 20, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 112,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = p + 20 to k, which gives k = p + 36.\n2. Substitute p = x + 4 to k, which gives k = x + 40.\n3. Substitute x = u + 19 to k, which gives k = u + 59.\n4. Substitute u = a + 20 to k, which gives k = a + 79.\n5. Substitute a = r + 13 to k, which gives k = r + 92.\n6. Substitute r = 20 to k, which gives k = 112.\n\nThus, the final answer is k = \\boxed{112}.",
"index": 16621,
"question": "Suppose a collection of variables is related by the following definitions: d = i + 16; i = c + 13; a = r + 13; x = u + 19; v = h + 8; y = p + 20; p = x + 4; c = r + 5; u = a + 20; b = v + 6; k = y + 16; h = d + 3; r = 20. Given that r = 20, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"g": "d + 18", "u": "g + 14", "k": "u + 7", "y": "k + 20", "q": "y + 17", "f": "q + 16", "v": "d + 15", "j": "v + 19", "l": "j + 13", "z": "l + 14", "r": "z + 13", "p": "r + 9", "d": 1}, "premises": {"d": 1}, "target": "f"}, "answer": {"steps": [["q", "y + 17", "y + 33"], ["y", "k + 20", "k + 53"], ["k", "u + 7", "u + 60"], ["u", "g + 14", "g + 74"], ["g", "d + 18", "d + 92"], ["d", 1, "93"]], "target_var_name": "f", "target_value": 93, "value_dict": {"d": 1}, "is_reverse": true}} | 16,622 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = d + 18; f = q + 16; d = 1; y = k + 20; r = z + 13; l = j + 13; p = r + 9; k = u + 7; q = y + 17; j = v + 19; v = d + 15; u = g + 14; z = l + 14. Given that d = 1, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = y + 17 to f, which gives f = y + 33.\n2. Substitute y = k + 20 to f, which gives f = k + 53.\n3. Substitute k = u + 7 to f, which gives f = u + 60.\n4. Substitute u = g + 14 to f, which gives f = g + 74.\n5. Substitute g = d + 18 to f, which gives f = d + 92.\n6. Substitute d = 1 to f, which gives f = 93.\n\nThus, the final answer is f = \\boxed{93}.",
"index": 16622,
"question": "Suppose a collection of variables is related by the following definitions: g = d + 18; f = q + 16; d = 1; y = k + 20; r = z + 13; l = j + 13; p = r + 9; k = u + 7; q = y + 17; j = v + 19; v = d + 15; u = g + 14; z = l + 14. Given that d = 1, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"u": "x + 3", "e": "u + 3", "v": "e + 6", "c": "v + 6", "k": "c + 7", "o": "k + 14", "h": "x + 3", "r": "h + 16", "j": "r + 2", "a": "j + 20", "d": "a + 8", "m": "d + 15", "x": 10}, "premises": {"x": 10}, "target": "o"}, "answer": {"steps": [["k", "c + 7", "c + 21"], ["c", "v + 6", "v + 27"], ["v", "e + 6", "e + 33"], ["e", "u + 3", "u + 36"], ["u", "x + 3", "x + 39"], ["x", 10, "49"]], "target_var_name": "o", "target_value": 49, "value_dict": {"x": 10}, "is_reverse": true}} | 16,623 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = u + 3; r = h + 16; d = a + 8; c = v + 6; o = k + 14; h = x + 3; v = e + 6; j = r + 2; u = x + 3; a = j + 20; k = c + 7; m = d + 15; x = 10. If x = 10, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = c + 7 to o, which gives o = c + 21.\n2. Substitute c = v + 6 to o, which gives o = v + 27.\n3. Substitute v = e + 6 to o, which gives o = e + 33.\n4. Substitute e = u + 3 to o, which gives o = u + 36.\n5. Substitute u = x + 3 to o, which gives o = x + 39.\n6. Substitute x = 10 to o, which gives o = 49.\n\nThus, the final answer is o = \\boxed{49}.",
"index": 16623,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = u + 3; r = h + 16; d = a + 8; c = v + 6; o = k + 14; h = x + 3; v = e + 6; j = r + 2; u = x + 3; a = j + 20; k = c + 7; m = d + 15; x = 10. If x = 10, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"h": "d + 8", "t": "h + 13", "p": "t + 19", "z": "p + 5", "s": "z + 13", "g": "s + 15", "q": "d + 9", "x": "q + 2", "n": "x + 10", "l": "n + 5", "y": "l + 17", "k": "y + 6", "d": 4}, "premises": {"d": 4}, "target": "g"}, "answer": {"steps": [["s", "z + 13", "z + 28"], ["z", "p + 5", "p + 33"], ["p", "t + 19", "t + 52"], ["t", "h + 13", "h + 65"], ["h", "d + 8", "d + 73"], ["d", 4, "77"]], "target_var_name": "g", "target_value": 77, "value_dict": {"d": 4}, "is_reverse": true}} | 16,624 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = 4; n = x + 10; l = n + 5; z = p + 5; g = s + 15; h = d + 8; y = l + 17; q = d + 9; x = q + 2; p = t + 19; s = z + 13; k = y + 6; t = h + 13. If d = 4, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = z + 13 to g, which gives g = z + 28.\n2. Substitute z = p + 5 to g, which gives g = p + 33.\n3. Substitute p = t + 19 to g, which gives g = t + 52.\n4. Substitute t = h + 13 to g, which gives g = h + 65.\n5. Substitute h = d + 8 to g, which gives g = d + 73.\n6. Substitute d = 4 to g, which gives g = 77.\n\nThus, the final answer is g = \\boxed{77}.",
"index": 16624,
"question": "Consider a system of variables where each variable is defined as follows: d = 4; n = x + 10; l = n + 5; z = p + 5; g = s + 15; h = d + 8; y = l + 17; q = d + 9; x = q + 2; p = t + 19; s = z + 13; k = y + 6; t = h + 13. If d = 4, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"f": "i + 11", "y": "f + 16", "d": "y + 12", "z": "d + 19", "p": "z + 8", "r": "p + 4", "t": "i + 15", "x": "t + 4", "m": "x + 14", "h": "m + 4", "j": "h + 15", "s": "j + 14", "i": 17}, "premises": {"i": 17}, "target": "r"}, "answer": {"steps": [["p", "z + 8", "z + 12"], ["z", "d + 19", "d + 31"], ["d", "y + 12", "y + 43"], ["y", "f + 16", "f + 59"], ["f", "i + 11", "i + 70"], ["i", 17, "87"]], "target_var_name": "r", "target_value": 87, "value_dict": {"i": 17}, "is_reverse": true}} | 16,625 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = t + 4; y = f + 16; z = d + 19; p = z + 8; s = j + 14; f = i + 11; d = y + 12; t = i + 15; m = x + 14; i = 17; h = m + 4; j = h + 15; r = p + 4. If i = 17, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = z + 8 to r, which gives r = z + 12.\n2. Substitute z = d + 19 to r, which gives r = d + 31.\n3. Substitute d = y + 12 to r, which gives r = y + 43.\n4. Substitute y = f + 16 to r, which gives r = f + 59.\n5. Substitute f = i + 11 to r, which gives r = i + 70.\n6. Substitute i = 17 to r, which gives r = 87.\n\nThus, the final answer is r = \\boxed{87}.",
"index": 16625,
"question": "Consider a system of variables where each variable is defined as follows: x = t + 4; y = f + 16; z = d + 19; p = z + 8; s = j + 14; f = i + 11; d = y + 12; t = i + 15; m = x + 14; i = 17; h = m + 4; j = h + 15; r = p + 4. If i = 17, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"k": "v + 2", "i": "k + 7", "a": "i + 14", "h": "a + 16", "g": "h + 5", "m": "g + 13", "o": "v + 6", "b": "o + 11", "w": "b + 9", "j": "w + 5", "z": "j + 19", "c": "z + 4", "v": 18}, "premises": {"v": 18}, "target": "m"}, "answer": {"steps": [["g", "h + 5", "h + 18"], ["h", "a + 16", "a + 34"], ["a", "i + 14", "i + 48"], ["i", "k + 7", "k + 55"], ["k", "v + 2", "v + 57"], ["v", 18, "75"]], "target_var_name": "m", "target_value": 75, "value_dict": {"v": 18}, "is_reverse": true}} | 16,626 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = i + 14; z = j + 19; c = z + 4; j = w + 5; b = o + 11; o = v + 6; w = b + 9; h = a + 16; k = v + 2; v = 18; g = h + 5; i = k + 7; m = g + 13. Given that v = 18, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = h + 5 to m, which gives m = h + 18.\n2. Substitute h = a + 16 to m, which gives m = a + 34.\n3. Substitute a = i + 14 to m, which gives m = i + 48.\n4. Substitute i = k + 7 to m, which gives m = k + 55.\n5. Substitute k = v + 2 to m, which gives m = v + 57.\n6. Substitute v = 18 to m, which gives m = 75.\n\nThus, the final answer is m = \\boxed{75}.",
"index": 16626,
"question": "Suppose a collection of variables is related by the following definitions: a = i + 14; z = j + 19; c = z + 4; j = w + 5; b = o + 11; o = v + 6; w = b + 9; h = a + 16; k = v + 2; v = 18; g = h + 5; i = k + 7; m = g + 13. Given that v = 18, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"m": "o + 18", "h": "m + 3", "a": "h + 3", "u": "a + 19", "z": "u + 9", "n": "z + 6", "l": "o + 10", "r": "l + 1", "q": "r + 7", "w": "q + 8", "d": "w + 7", "s": "d + 3", "o": 11}, "premises": {"o": 11}, "target": "n"}, "answer": {"steps": [["z", "u + 9", "u + 15"], ["u", "a + 19", "a + 34"], ["a", "h + 3", "h + 37"], ["h", "m + 3", "m + 40"], ["m", "o + 18", "o + 58"], ["o", 11, "69"]], "target_var_name": "n", "target_value": 69, "value_dict": {"o": 11}, "is_reverse": true}} | 16,627 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = h + 3; r = l + 1; z = u + 9; w = q + 8; q = r + 7; h = m + 3; l = o + 10; s = d + 3; m = o + 18; n = z + 6; d = w + 7; o = 11; u = a + 19. Given that o = 11, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = u + 9 to n, which gives n = u + 15.\n2. Substitute u = a + 19 to n, which gives n = a + 34.\n3. Substitute a = h + 3 to n, which gives n = h + 37.\n4. Substitute h = m + 3 to n, which gives n = m + 40.\n5. Substitute m = o + 18 to n, which gives n = o + 58.\n6. Substitute o = 11 to n, which gives n = 69.\n\nThus, the final answer is n = \\boxed{69}.",
"index": 16627,
"question": "Suppose a collection of variables is related by the following definitions: a = h + 3; r = l + 1; z = u + 9; w = q + 8; q = r + 7; h = m + 3; l = o + 10; s = d + 3; m = o + 18; n = z + 6; d = w + 7; o = 11; u = a + 19. Given that o = 11, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"c": "w + 1", "q": "c + 12", "t": "q + 17", "u": "t + 8", "x": "u + 15", "a": "x + 5", "e": "w + 3", "o": "e + 2", "p": "o + 14", "r": "p + 9", "n": "r + 4", "j": "n + 4", "w": 6}, "premises": {"w": 6}, "target": "a"}, "answer": {"steps": [["x", "u + 15", "u + 20"], ["u", "t + 8", "t + 28"], ["t", "q + 17", "q + 45"], ["q", "c + 12", "c + 57"], ["c", "w + 1", "w + 58"], ["w", 6, "64"]], "target_var_name": "a", "target_value": 64, "value_dict": {"w": 6}, "is_reverse": true}} | 16,628 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = w + 3; p = o + 14; u = t + 8; x = u + 15; c = w + 1; r = p + 9; q = c + 12; t = q + 17; o = e + 2; j = n + 4; n = r + 4; w = 6; a = x + 5. If w = 6, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = u + 15 to a, which gives a = u + 20.\n2. Substitute u = t + 8 to a, which gives a = t + 28.\n3. Substitute t = q + 17 to a, which gives a = q + 45.\n4. Substitute q = c + 12 to a, which gives a = c + 57.\n5. Substitute c = w + 1 to a, which gives a = w + 58.\n6. Substitute w = 6 to a, which gives a = 64.\n\nThus, the final answer is a = \\boxed{64}.",
"index": 16628,
"question": "Consider a system of variables where each variable is defined as follows: e = w + 3; p = o + 14; u = t + 8; x = u + 15; c = w + 1; r = p + 9; q = c + 12; t = q + 17; o = e + 2; j = n + 4; n = r + 4; w = 6; a = x + 5. If w = 6, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"s": "x + 18", "f": "s + 14", "k": "f + 17", "z": "k + 13", "w": "z + 14", "y": "w + 8", "j": "x + 12", "h": "j + 2", "a": "h + 11", "r": "a + 14", "i": "r + 10", "e": "i + 10", "x": 10}, "premises": {"x": 10}, "target": "y"}, "answer": {"steps": [["w", "z + 14", "z + 22"], ["z", "k + 13", "k + 35"], ["k", "f + 17", "f + 52"], ["f", "s + 14", "s + 66"], ["s", "x + 18", "x + 84"], ["x", 10, "94"]], "target_var_name": "y", "target_value": 94, "value_dict": {"x": 10}, "is_reverse": true}} | 16,629 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = 10; f = s + 14; r = a + 14; a = h + 11; j = x + 12; z = k + 13; w = z + 14; e = i + 10; s = x + 18; i = r + 10; h = j + 2; k = f + 17; y = w + 8. If x = 10, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = z + 14 to y, which gives y = z + 22.\n2. Substitute z = k + 13 to y, which gives y = k + 35.\n3. Substitute k = f + 17 to y, which gives y = f + 52.\n4. Substitute f = s + 14 to y, which gives y = s + 66.\n5. Substitute s = x + 18 to y, which gives y = x + 84.\n6. Substitute x = 10 to y, which gives y = 94.\n\nThus, the final answer is y = \\boxed{94}.",
"index": 16629,
"question": "Consider a system of variables where each variable is defined as follows: x = 10; f = s + 14; r = a + 14; a = h + 11; j = x + 12; z = k + 13; w = z + 14; e = i + 10; s = x + 18; i = r + 10; h = j + 2; k = f + 17; y = w + 8. If x = 10, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"c": "e + 11", "i": "c + 3", "b": "i + 4", "g": "b + 4", "z": "g + 9", "y": "z + 6", "k": "e + 12", "r": "k + 2", "l": "r + 19", "d": "l + 13", "v": "d + 13", "a": "v + 2", "e": 19}, "premises": {"e": 19}, "target": "y"}, "answer": {"steps": [["z", "g + 9", "g + 15"], ["g", "b + 4", "b + 19"], ["b", "i + 4", "i + 23"], ["i", "c + 3", "c + 26"], ["c", "e + 11", "e + 37"], ["e", 19, "56"]], "target_var_name": "y", "target_value": 56, "value_dict": {"e": 19}, "is_reverse": true}} | 16,630 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = d + 13; i = c + 3; c = e + 11; a = v + 2; d = l + 13; y = z + 6; g = b + 4; k = e + 12; r = k + 2; z = g + 9; e = 19; b = i + 4; l = r + 19. If e = 19, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = g + 9 to y, which gives y = g + 15.\n2. Substitute g = b + 4 to y, which gives y = b + 19.\n3. Substitute b = i + 4 to y, which gives y = i + 23.\n4. Substitute i = c + 3 to y, which gives y = c + 26.\n5. Substitute c = e + 11 to y, which gives y = e + 37.\n6. Substitute e = 19 to y, which gives y = 56.\n\nThus, the final answer is y = \\boxed{56}.",
"index": 16630,
"question": "Consider a system of variables where each variable is defined as follows: v = d + 13; i = c + 3; c = e + 11; a = v + 2; d = l + 13; y = z + 6; g = b + 4; k = e + 12; r = k + 2; z = g + 9; e = 19; b = i + 4; l = r + 19. If e = 19, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"w": "n + 7", "v": "w + 11", "f": "v + 9", "s": "f + 9", "m": "s + 13", "i": "m + 18", "t": "n + 7", "q": "t + 20", "k": "q + 9", "y": "k + 20", "r": "y + 15", "g": "r + 3", "n": 20}, "premises": {"n": 20}, "target": "i"}, "answer": {"steps": [["m", "s + 13", "s + 31"], ["s", "f + 9", "f + 40"], ["f", "v + 9", "v + 49"], ["v", "w + 11", "w + 60"], ["w", "n + 7", "n + 67"], ["n", 20, "87"]], "target_var_name": "i", "target_value": 87, "value_dict": {"n": 20}, "is_reverse": true}} | 16,631 | 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 + 20; t = n + 7; i = m + 18; y = k + 20; m = s + 13; f = v + 9; v = w + 11; r = y + 15; n = 20; g = r + 3; k = q + 9; w = n + 7; s = f + 9. If n = 20, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = s + 13 to i, which gives i = s + 31.\n2. Substitute s = f + 9 to i, which gives i = f + 40.\n3. Substitute f = v + 9 to i, which gives i = v + 49.\n4. Substitute v = w + 11 to i, which gives i = w + 60.\n5. Substitute w = n + 7 to i, which gives i = n + 67.\n6. Substitute n = 20 to i, which gives i = 87.\n\nThus, the final answer is i = \\boxed{87}.",
"index": 16631,
"question": "Consider a system of variables where each variable is defined as follows: q = t + 20; t = n + 7; i = m + 18; y = k + 20; m = s + 13; f = v + 9; v = w + 11; r = y + 15; n = 20; g = r + 3; k = q + 9; w = n + 7; s = f + 9. If n = 20, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"r": "d + 16", "s": "r + 10", "y": "s + 13", "k": "y + 11", "z": "k + 4", "n": "z + 1", "u": "d + 14", "b": "u + 9", "q": "b + 9", "p": "q + 13", "i": "p + 1", "v": "i + 15", "d": 12}, "premises": {"d": 12}, "target": "n"}, "answer": {"steps": [["z", "k + 4", "k + 5"], ["k", "y + 11", "y + 16"], ["y", "s + 13", "s + 29"], ["s", "r + 10", "r + 39"], ["r", "d + 16", "d + 55"], ["d", 12, "67"]], "target_var_name": "n", "target_value": 67, "value_dict": {"d": 12}, "is_reverse": true}} | 16,632 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = r + 10; r = d + 16; y = s + 13; v = i + 15; z = k + 4; b = u + 9; u = d + 14; k = y + 11; p = q + 13; n = z + 1; d = 12; i = p + 1; q = b + 9. If d = 12, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = k + 4 to n, which gives n = k + 5.\n2. Substitute k = y + 11 to n, which gives n = y + 16.\n3. Substitute y = s + 13 to n, which gives n = s + 29.\n4. Substitute s = r + 10 to n, which gives n = r + 39.\n5. Substitute r = d + 16 to n, which gives n = d + 55.\n6. Substitute d = 12 to n, which gives n = 67.\n\nThus, the final answer is n = \\boxed{67}.",
"index": 16632,
"question": "Consider a system of variables where each variable is defined as follows: s = r + 10; r = d + 16; y = s + 13; v = i + 15; z = k + 4; b = u + 9; u = d + 14; k = y + 11; p = q + 13; n = z + 1; d = 12; i = p + 1; q = b + 9. If d = 12, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"s": "x + 5", "e": "s + 8", "g": "e + 9", "l": "g + 20", "k": "l + 3", "n": "k + 10", "y": "x + 17", "p": "y + 1", "r": "p + 14", "c": "r + 19", "a": "c + 6", "d": "a + 4", "x": 11}, "premises": {"x": 11}, "target": "n"}, "answer": {"steps": [["k", "l + 3", "l + 13"], ["l", "g + 20", "g + 33"], ["g", "e + 9", "e + 42"], ["e", "s + 8", "s + 50"], ["s", "x + 5", "x + 55"], ["x", 11, "66"]], "target_var_name": "n", "target_value": 66, "value_dict": {"x": 11}, "is_reverse": true}} | 16,633 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = e + 9; s = x + 5; y = x + 17; d = a + 4; e = s + 8; l = g + 20; x = 11; k = l + 3; a = c + 6; p = y + 1; c = r + 19; n = k + 10; r = p + 14. If x = 11, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = l + 3 to n, which gives n = l + 13.\n2. Substitute l = g + 20 to n, which gives n = g + 33.\n3. Substitute g = e + 9 to n, which gives n = e + 42.\n4. Substitute e = s + 8 to n, which gives n = s + 50.\n5. Substitute s = x + 5 to n, which gives n = x + 55.\n6. Substitute x = 11 to n, which gives n = 66.\n\nThus, the final answer is n = \\boxed{66}.",
"index": 16633,
"question": "Consider a system of variables where each variable is defined as follows: g = e + 9; s = x + 5; y = x + 17; d = a + 4; e = s + 8; l = g + 20; x = 11; k = l + 3; a = c + 6; p = y + 1; c = r + 19; n = k + 10; r = p + 14. If x = 11, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"b": "d + 8", "m": "b + 5", "o": "m + 18", "k": "o + 11", "s": "k + 17", "n": "s + 1", "q": "d + 5", "e": "q + 17", "t": "e + 2", "h": "t + 11", "i": "h + 19", "p": "i + 8", "d": 2}, "premises": {"d": 2}, "target": "n"}, "answer": {"steps": [["s", "k + 17", "k + 18"], ["k", "o + 11", "o + 29"], ["o", "m + 18", "m + 47"], ["m", "b + 5", "b + 52"], ["b", "d + 8", "d + 60"], ["d", 2, "62"]], "target_var_name": "n", "target_value": 62, "value_dict": {"d": 2}, "is_reverse": true}} | 16,634 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = d + 5; b = d + 8; t = e + 2; e = q + 17; d = 2; s = k + 17; k = o + 11; m = b + 5; p = i + 8; h = t + 11; i = h + 19; o = m + 18; n = s + 1. If d = 2, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = k + 17 to n, which gives n = k + 18.\n2. Substitute k = o + 11 to n, which gives n = o + 29.\n3. Substitute o = m + 18 to n, which gives n = m + 47.\n4. Substitute m = b + 5 to n, which gives n = b + 52.\n5. Substitute b = d + 8 to n, which gives n = d + 60.\n6. Substitute d = 2 to n, which gives n = 62.\n\nThus, the final answer is n = \\boxed{62}.",
"index": 16634,
"question": "Consider a system of variables where each variable is defined as follows: q = d + 5; b = d + 8; t = e + 2; e = q + 17; d = 2; s = k + 17; k = o + 11; m = b + 5; p = i + 8; h = t + 11; i = h + 19; o = m + 18; n = s + 1. If d = 2, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"p": "i + 19", "n": "p + 6", "r": "n + 5", "x": "r + 1", "b": "x + 17", "o": "b + 4", "w": "i + 14", "k": "w + 5", "d": "k + 5", "e": "d + 9", "z": "e + 20", "h": "z + 18", "i": 1}, "premises": {"i": 1}, "target": "o"}, "answer": {"steps": [["b", "x + 17", "x + 21"], ["x", "r + 1", "r + 22"], ["r", "n + 5", "n + 27"], ["n", "p + 6", "p + 33"], ["p", "i + 19", "i + 52"], ["i", 1, "53"]], "target_var_name": "o", "target_value": 53, "value_dict": {"i": 1}, "is_reverse": true}} | 16,635 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = z + 18; p = i + 19; x = r + 1; w = i + 14; z = e + 20; i = 1; n = p + 6; e = d + 9; o = b + 4; k = w + 5; b = x + 17; d = k + 5; r = n + 5. If i = 1, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = x + 17 to o, which gives o = x + 21.\n2. Substitute x = r + 1 to o, which gives o = r + 22.\n3. Substitute r = n + 5 to o, which gives o = n + 27.\n4. Substitute n = p + 6 to o, which gives o = p + 33.\n5. Substitute p = i + 19 to o, which gives o = i + 52.\n6. Substitute i = 1 to o, which gives o = 53.\n\nThus, the final answer is o = \\boxed{53}.",
"index": 16635,
"question": "Consider a system of variables where each variable is defined as follows: h = z + 18; p = i + 19; x = r + 1; w = i + 14; z = e + 20; i = 1; n = p + 6; e = d + 9; o = b + 4; k = w + 5; b = x + 17; d = k + 5; r = n + 5. If i = 1, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"c": "p + 6", "m": "c + 11", "t": "m + 4", "s": "t + 8", "j": "s + 1", "d": "j + 9", "e": "p + 2", "y": "e + 14", "z": "y + 13", "a": "z + 8", "g": "a + 9", "r": "g + 9", "p": 16}, "premises": {"p": 16}, "target": "d"}, "answer": {"steps": [["j", "s + 1", "s + 10"], ["s", "t + 8", "t + 18"], ["t", "m + 4", "m + 22"], ["m", "c + 11", "c + 33"], ["c", "p + 6", "p + 39"], ["p", 16, "55"]], "target_var_name": "d", "target_value": 55, "value_dict": {"p": 16}, "is_reverse": true}} | 16,636 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = p + 6; t = m + 4; d = j + 9; m = c + 11; s = t + 8; y = e + 14; z = y + 13; p = 16; g = a + 9; j = s + 1; a = z + 8; r = g + 9; e = p + 2. Given that p = 16, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = s + 1 to d, which gives d = s + 10.\n2. Substitute s = t + 8 to d, which gives d = t + 18.\n3. Substitute t = m + 4 to d, which gives d = m + 22.\n4. Substitute m = c + 11 to d, which gives d = c + 33.\n5. Substitute c = p + 6 to d, which gives d = p + 39.\n6. Substitute p = 16 to d, which gives d = 55.\n\nThus, the final answer is d = \\boxed{55}.",
"index": 16636,
"question": "Suppose a collection of variables is related by the following definitions: c = p + 6; t = m + 4; d = j + 9; m = c + 11; s = t + 8; y = e + 14; z = y + 13; p = 16; g = a + 9; j = s + 1; a = z + 8; r = g + 9; e = p + 2. Given that p = 16, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"u": "m + 11", "h": "u + 7", "z": "h + 19", "y": "z + 9", "v": "y + 3", "a": "v + 14", "g": "m + 11", "d": "g + 3", "b": "d + 9", "o": "b + 18", "l": "o + 11", "n": "l + 10", "m": 15}, "premises": {"m": 15}, "target": "a"}, "answer": {"steps": [["v", "y + 3", "y + 17"], ["y", "z + 9", "z + 26"], ["z", "h + 19", "h + 45"], ["h", "u + 7", "u + 52"], ["u", "m + 11", "m + 63"], ["m", 15, "78"]], "target_var_name": "a", "target_value": 78, "value_dict": {"m": 15}, "is_reverse": true}} | 16,637 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = m + 11; o = b + 18; d = g + 3; l = o + 11; h = u + 7; m = 15; y = z + 9; z = h + 19; a = v + 14; u = m + 11; v = y + 3; b = d + 9; n = l + 10. Given that m = 15, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = y + 3 to a, which gives a = y + 17.\n2. Substitute y = z + 9 to a, which gives a = z + 26.\n3. Substitute z = h + 19 to a, which gives a = h + 45.\n4. Substitute h = u + 7 to a, which gives a = u + 52.\n5. Substitute u = m + 11 to a, which gives a = m + 63.\n6. Substitute m = 15 to a, which gives a = 78.\n\nThus, the final answer is a = \\boxed{78}.",
"index": 16637,
"question": "Suppose a collection of variables is related by the following definitions: g = m + 11; o = b + 18; d = g + 3; l = o + 11; h = u + 7; m = 15; y = z + 9; z = h + 19; a = v + 14; u = m + 11; v = y + 3; b = d + 9; n = l + 10. Given that m = 15, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"h": "d + 2", "x": "h + 16", "r": "x + 7", "b": "r + 4", "v": "b + 19", "e": "v + 6", "s": "d + 10", "y": "s + 2", "t": "y + 16", "q": "t + 20", "p": "q + 12", "n": "p + 19", "d": 16}, "premises": {"d": 16}, "target": "e"}, "answer": {"steps": [["v", "b + 19", "b + 25"], ["b", "r + 4", "r + 29"], ["r", "x + 7", "x + 36"], ["x", "h + 16", "h + 52"], ["h", "d + 2", "d + 54"], ["d", 16, "70"]], "target_var_name": "e", "target_value": 70, "value_dict": {"d": 16}, "is_reverse": true}} | 16,638 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = p + 19; v = b + 19; e = v + 6; d = 16; y = s + 2; r = x + 7; h = d + 2; q = t + 20; s = d + 10; b = r + 4; x = h + 16; t = y + 16; p = q + 12. If d = 16, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = b + 19 to e, which gives e = b + 25.\n2. Substitute b = r + 4 to e, which gives e = r + 29.\n3. Substitute r = x + 7 to e, which gives e = x + 36.\n4. Substitute x = h + 16 to e, which gives e = h + 52.\n5. Substitute h = d + 2 to e, which gives e = d + 54.\n6. Substitute d = 16 to e, which gives e = 70.\n\nThus, the final answer is e = \\boxed{70}.",
"index": 16638,
"question": "Consider a system of variables where each variable is defined as follows: n = p + 19; v = b + 19; e = v + 6; d = 16; y = s + 2; r = x + 7; h = d + 2; q = t + 20; s = d + 10; b = r + 4; x = h + 16; t = y + 16; p = q + 12. If d = 16, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"e": "s + 16", "j": "e + 4", "f": "j + 4", "n": "f + 1", "c": "n + 7", "i": "c + 18", "b": "s + 16", "a": "b + 7", "p": "a + 13", "q": "p + 11", "k": "q + 16", "d": "k + 15", "s": 4}, "premises": {"s": 4}, "target": "i"}, "answer": {"steps": [["c", "n + 7", "n + 25"], ["n", "f + 1", "f + 26"], ["f", "j + 4", "j + 30"], ["j", "e + 4", "e + 34"], ["e", "s + 16", "s + 50"], ["s", 4, "54"]], "target_var_name": "i", "target_value": 54, "value_dict": {"s": 4}, "is_reverse": true}} | 16,639 | 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 = a + 13; j = e + 4; n = f + 1; i = c + 18; s = 4; a = b + 7; k = q + 16; c = n + 7; d = k + 15; b = s + 16; f = j + 4; e = s + 16; q = p + 11. If s = 4, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = n + 7 to i, which gives i = n + 25.\n2. Substitute n = f + 1 to i, which gives i = f + 26.\n3. Substitute f = j + 4 to i, which gives i = j + 30.\n4. Substitute j = e + 4 to i, which gives i = e + 34.\n5. Substitute e = s + 16 to i, which gives i = s + 50.\n6. Substitute s = 4 to i, which gives i = 54.\n\nThus, the final answer is i = \\boxed{54}.",
"index": 16639,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = a + 13; j = e + 4; n = f + 1; i = c + 18; s = 4; a = b + 7; k = q + 16; c = n + 7; d = k + 15; b = s + 16; f = j + 4; e = s + 16; q = p + 11. If s = 4, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"h": "i + 16", "f": "h + 4", "m": "f + 16", "v": "m + 17", "e": "v + 13", "j": "e + 12", "z": "i + 5", "r": "z + 14", "w": "r + 20", "p": "w + 8", "d": "p + 4", "s": "d + 6", "i": 20}, "premises": {"i": 20}, "target": "j"}, "answer": {"steps": [["e", "v + 13", "v + 25"], ["v", "m + 17", "m + 42"], ["m", "f + 16", "f + 58"], ["f", "h + 4", "h + 62"], ["h", "i + 16", "i + 78"], ["i", 20, "98"]], "target_var_name": "j", "target_value": 98, "value_dict": {"i": 20}, "is_reverse": true}} | 16,640 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = w + 8; i = 20; v = m + 17; m = f + 16; f = h + 4; z = i + 5; s = d + 6; h = i + 16; j = e + 12; r = z + 14; d = p + 4; w = r + 20; e = v + 13. Given that i = 20, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = v + 13 to j, which gives j = v + 25.\n2. Substitute v = m + 17 to j, which gives j = m + 42.\n3. Substitute m = f + 16 to j, which gives j = f + 58.\n4. Substitute f = h + 4 to j, which gives j = h + 62.\n5. Substitute h = i + 16 to j, which gives j = i + 78.\n6. Substitute i = 20 to j, which gives j = 98.\n\nThus, the final answer is j = \\boxed{98}.",
"index": 16640,
"question": "Suppose a collection of variables is related by the following definitions: p = w + 8; i = 20; v = m + 17; m = f + 16; f = h + 4; z = i + 5; s = d + 6; h = i + 16; j = e + 12; r = z + 14; d = p + 4; w = r + 20; e = v + 13. Given that i = 20, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"g": "u + 16", "b": "g + 15", "w": "b + 9", "e": "w + 16", "k": "e + 2", "o": "k + 16", "s": "u + 3", "x": "s + 8", "c": "x + 7", "f": "c + 20", "y": "f + 2", "l": "y + 7", "u": 13}, "premises": {"u": 13}, "target": "o"}, "answer": {"steps": [["k", "e + 2", "e + 18"], ["e", "w + 16", "w + 34"], ["w", "b + 9", "b + 43"], ["b", "g + 15", "g + 58"], ["g", "u + 16", "u + 74"], ["u", 13, "87"]], "target_var_name": "o", "target_value": 87, "value_dict": {"u": 13}, "is_reverse": true}} | 16,641 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = g + 15; x = s + 8; e = w + 16; u = 13; f = c + 20; l = y + 7; g = u + 16; y = f + 2; o = k + 16; w = b + 9; s = u + 3; k = e + 2; c = x + 7. If u = 13, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = e + 2 to o, which gives o = e + 18.\n2. Substitute e = w + 16 to o, which gives o = w + 34.\n3. Substitute w = b + 9 to o, which gives o = b + 43.\n4. Substitute b = g + 15 to o, which gives o = g + 58.\n5. Substitute g = u + 16 to o, which gives o = u + 74.\n6. Substitute u = 13 to o, which gives o = 87.\n\nThus, the final answer is o = \\boxed{87}.",
"index": 16641,
"question": "Consider a system of variables where each variable is defined as follows: b = g + 15; x = s + 8; e = w + 16; u = 13; f = c + 20; l = y + 7; g = u + 16; y = f + 2; o = k + 16; w = b + 9; s = u + 3; k = e + 2; c = x + 7. If u = 13, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"n": "u + 5", "b": "n + 12", "x": "b + 11", "v": "x + 1", "t": "v + 7", "e": "t + 8", "l": "u + 14", "y": "l + 18", "j": "y + 2", "w": "j + 9", "k": "w + 6", "i": "k + 15", "u": 7}, "premises": {"u": 7}, "target": "e"}, "answer": {"steps": [["t", "v + 7", "v + 15"], ["v", "x + 1", "x + 16"], ["x", "b + 11", "b + 27"], ["b", "n + 12", "n + 39"], ["n", "u + 5", "u + 44"], ["u", 7, "51"]], "target_var_name": "e", "target_value": 51, "value_dict": {"u": 7}, "is_reverse": true}} | 16,642 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = y + 2; y = l + 18; n = u + 5; t = v + 7; e = t + 8; i = k + 15; v = x + 1; b = n + 12; k = w + 6; w = j + 9; x = b + 11; u = 7; l = u + 14. If u = 7, determine 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 t = v + 7 to e, which gives e = v + 15.\n2. Substitute v = x + 1 to e, which gives e = x + 16.\n3. Substitute x = b + 11 to e, which gives e = b + 27.\n4. Substitute b = n + 12 to e, which gives e = n + 39.\n5. Substitute n = u + 5 to e, which gives e = u + 44.\n6. Substitute u = 7 to e, which gives e = 51.\n\nThus, the final answer is e = \\boxed{51}.",
"index": 16642,
"question": "Consider a system of variables where each variable is defined as follows: j = y + 2; y = l + 18; n = u + 5; t = v + 7; e = t + 8; i = k + 15; v = x + 1; b = n + 12; k = w + 6; w = j + 9; x = b + 11; u = 7; l = u + 14. If u = 7, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"h": "z + 10", "g": "h + 3", "n": "g + 20", "i": "n + 2", "u": "i + 1", "y": "u + 13", "s": "z + 14", "l": "s + 17", "x": "l + 10", "j": "x + 8", "b": "j + 17", "a": "b + 5", "z": 16}, "premises": {"z": 16}, "target": "y"}, "answer": {"steps": [["u", "i + 1", "i + 14"], ["i", "n + 2", "n + 16"], ["n", "g + 20", "g + 36"], ["g", "h + 3", "h + 39"], ["h", "z + 10", "z + 49"], ["z", 16, "65"]], "target_var_name": "y", "target_value": 65, "value_dict": {"z": 16}, "is_reverse": true}} | 16,643 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = j + 17; x = l + 10; h = z + 10; i = n + 2; a = b + 5; g = h + 3; n = g + 20; j = x + 8; s = z + 14; y = u + 13; z = 16; u = i + 1; l = s + 17. Given that z = 16, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = i + 1 to y, which gives y = i + 14.\n2. Substitute i = n + 2 to y, which gives y = n + 16.\n3. Substitute n = g + 20 to y, which gives y = g + 36.\n4. Substitute g = h + 3 to y, which gives y = h + 39.\n5. Substitute h = z + 10 to y, which gives y = z + 49.\n6. Substitute z = 16 to y, which gives y = 65.\n\nThus, the final answer is y = \\boxed{65}.",
"index": 16643,
"question": "Suppose a collection of variables is related by the following definitions: b = j + 17; x = l + 10; h = z + 10; i = n + 2; a = b + 5; g = h + 3; n = g + 20; j = x + 8; s = z + 14; y = u + 13; z = 16; u = i + 1; l = s + 17. Given that z = 16, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"k": "w + 9", "c": "k + 12", "x": "c + 4", "u": "x + 19", "f": "u + 11", "t": "f + 5", "e": "w + 14", "m": "e + 9", "h": "m + 7", "p": "h + 8", "n": "p + 13", "b": "n + 17", "w": 11}, "premises": {"w": 11}, "target": "t"}, "answer": {"steps": [["f", "u + 11", "u + 16"], ["u", "x + 19", "x + 35"], ["x", "c + 4", "c + 39"], ["c", "k + 12", "k + 51"], ["k", "w + 9", "w + 60"], ["w", 11, "71"]], "target_var_name": "t", "target_value": 71, "value_dict": {"w": 11}, "is_reverse": true}} | 16,644 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = u + 11; m = e + 9; e = w + 14; x = c + 4; n = p + 13; p = h + 8; h = m + 7; c = k + 12; b = n + 17; w = 11; t = f + 5; k = w + 9; u = x + 19. Given that w = 11, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = u + 11 to t, which gives t = u + 16.\n2. Substitute u = x + 19 to t, which gives t = x + 35.\n3. Substitute x = c + 4 to t, which gives t = c + 39.\n4. Substitute c = k + 12 to t, which gives t = k + 51.\n5. Substitute k = w + 9 to t, which gives t = w + 60.\n6. Substitute w = 11 to t, which gives t = 71.\n\nThus, the final answer is t = \\boxed{71}.",
"index": 16644,
"question": "Suppose a collection of variables is related by the following definitions: f = u + 11; m = e + 9; e = w + 14; x = c + 4; n = p + 13; p = h + 8; h = m + 7; c = k + 12; b = n + 17; w = 11; t = f + 5; k = w + 9; u = x + 19. Given that w = 11, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"y": "b + 13", "v": "y + 8", "x": "v + 18", "t": "x + 1", "c": "t + 10", "j": "c + 12", "w": "b + 1", "n": "w + 13", "l": "n + 18", "d": "l + 5", "s": "d + 16", "z": "s + 15", "b": 9}, "premises": {"b": 9}, "target": "j"}, "answer": {"steps": [["c", "t + 10", "t + 22"], ["t", "x + 1", "x + 23"], ["x", "v + 18", "v + 41"], ["v", "y + 8", "y + 49"], ["y", "b + 13", "b + 62"], ["b", 9, "71"]], "target_var_name": "j", "target_value": 71, "value_dict": {"b": 9}, "is_reverse": true}} | 16,645 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = t + 10; w = b + 1; n = w + 13; j = c + 12; y = b + 13; s = d + 16; v = y + 8; d = l + 5; z = s + 15; x = v + 18; t = x + 1; l = n + 18; b = 9. If b = 9, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = t + 10 to j, which gives j = t + 22.\n2. Substitute t = x + 1 to j, which gives j = x + 23.\n3. Substitute x = v + 18 to j, which gives j = v + 41.\n4. Substitute v = y + 8 to j, which gives j = y + 49.\n5. Substitute y = b + 13 to j, which gives j = b + 62.\n6. Substitute b = 9 to j, which gives j = 71.\n\nThus, the final answer is j = \\boxed{71}.",
"index": 16645,
"question": "Consider a system of variables where each variable is defined as follows: c = t + 10; w = b + 1; n = w + 13; j = c + 12; y = b + 13; s = d + 16; v = y + 8; d = l + 5; z = s + 15; x = v + 18; t = x + 1; l = n + 18; b = 9. If b = 9, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"s": "i + 12", "l": "s + 19", "w": "l + 13", "a": "w + 17", "p": "a + 8", "e": "p + 15", "t": "i + 11", "g": "t + 5", "z": "g + 12", "j": "z + 19", "c": "j + 2", "r": "c + 4", "i": 3}, "premises": {"i": 3}, "target": "e"}, "answer": {"steps": [["p", "a + 8", "a + 23"], ["a", "w + 17", "w + 40"], ["w", "l + 13", "l + 53"], ["l", "s + 19", "s + 72"], ["s", "i + 12", "i + 84"], ["i", 3, "87"]], "target_var_name": "e", "target_value": 87, "value_dict": {"i": 3}, "is_reverse": true}} | 16,646 | 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 + 19; g = t + 5; j = z + 19; a = w + 17; c = j + 2; i = 3; z = g + 12; t = i + 11; s = i + 12; r = c + 4; w = l + 13; e = p + 15; p = a + 8. If i = 3, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = a + 8 to e, which gives e = a + 23.\n2. Substitute a = w + 17 to e, which gives e = w + 40.\n3. Substitute w = l + 13 to e, which gives e = l + 53.\n4. Substitute l = s + 19 to e, which gives e = s + 72.\n5. Substitute s = i + 12 to e, which gives e = i + 84.\n6. Substitute i = 3 to e, which gives e = 87.\n\nThus, the final answer is e = \\boxed{87}.",
"index": 16646,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = s + 19; g = t + 5; j = z + 19; a = w + 17; c = j + 2; i = 3; z = g + 12; t = i + 11; s = i + 12; r = c + 4; w = l + 13; e = p + 15; p = a + 8. If i = 3, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"m": "w + 18", "j": "m + 1", "f": "j + 1", "d": "f + 16", "n": "d + 2", "p": "n + 7", "k": "w + 1", "b": "k + 3", "r": "b + 1", "x": "r + 19", "t": "x + 5", "u": "t + 11", "w": 12}, "premises": {"w": 12}, "target": "p"}, "answer": {"steps": [["n", "d + 2", "d + 9"], ["d", "f + 16", "f + 25"], ["f", "j + 1", "j + 26"], ["j", "m + 1", "m + 27"], ["m", "w + 18", "w + 45"], ["w", 12, "57"]], "target_var_name": "p", "target_value": 57, "value_dict": {"w": 12}, "is_reverse": true}} | 16,647 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = x + 5; u = t + 11; f = j + 1; k = w + 1; r = b + 1; b = k + 3; x = r + 19; p = n + 7; n = d + 2; j = m + 1; m = w + 18; d = f + 16; w = 12. If w = 12, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = d + 2 to p, which gives p = d + 9.\n2. Substitute d = f + 16 to p, which gives p = f + 25.\n3. Substitute f = j + 1 to p, which gives p = j + 26.\n4. Substitute j = m + 1 to p, which gives p = m + 27.\n5. Substitute m = w + 18 to p, which gives p = w + 45.\n6. Substitute w = 12 to p, which gives p = 57.\n\nThus, the final answer is p = \\boxed{57}.",
"index": 16647,
"question": "Consider a system of variables where each variable is defined as follows: t = x + 5; u = t + 11; f = j + 1; k = w + 1; r = b + 1; b = k + 3; x = r + 19; p = n + 7; n = d + 2; j = m + 1; m = w + 18; d = f + 16; w = 12. If w = 12, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"n": "a + 5", "g": "n + 10", "k": "g + 9", "u": "k + 16", "s": "u + 9", "e": "s + 8", "c": "a + 5", "i": "c + 17", "q": "i + 2", "x": "q + 12", "h": "x + 2", "b": "h + 19", "a": 15}, "premises": {"a": 15}, "target": "e"}, "answer": {"steps": [["s", "u + 9", "u + 17"], ["u", "k + 16", "k + 33"], ["k", "g + 9", "g + 42"], ["g", "n + 10", "n + 52"], ["n", "a + 5", "a + 57"], ["a", 15, "72"]], "target_var_name": "e", "target_value": 72, "value_dict": {"a": 15}, "is_reverse": true}} | 16,648 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = a + 5; k = g + 9; h = x + 2; g = n + 10; a = 15; u = k + 16; b = h + 19; i = c + 17; x = q + 12; c = a + 5; q = i + 2; s = u + 9; e = s + 8. If a = 15, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = u + 9 to e, which gives e = u + 17.\n2. Substitute u = k + 16 to e, which gives e = k + 33.\n3. Substitute k = g + 9 to e, which gives e = g + 42.\n4. Substitute g = n + 10 to e, which gives e = n + 52.\n5. Substitute n = a + 5 to e, which gives e = a + 57.\n6. Substitute a = 15 to e, which gives e = 72.\n\nThus, the final answer is e = \\boxed{72}.",
"index": 16648,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = a + 5; k = g + 9; h = x + 2; g = n + 10; a = 15; u = k + 16; b = h + 19; i = c + 17; x = q + 12; c = a + 5; q = i + 2; s = u + 9; e = s + 8. If a = 15, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"e": "t + 18", "j": "e + 2", "p": "j + 18", "n": "p + 2", "v": "n + 9", "o": "v + 10", "f": "t + 3", "l": "f + 7", "a": "l + 8", "s": "a + 18", "b": "s + 14", "q": "b + 8", "t": 18}, "premises": {"t": 18}, "target": "o"}, "answer": {"steps": [["v", "n + 9", "n + 19"], ["n", "p + 2", "p + 21"], ["p", "j + 18", "j + 39"], ["j", "e + 2", "e + 41"], ["e", "t + 18", "t + 59"], ["t", 18, "77"]], "target_var_name": "o", "target_value": 77, "value_dict": {"t": 18}, "is_reverse": true}} | 16,649 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = b + 8; l = f + 7; t = 18; s = a + 18; n = p + 2; a = l + 8; p = j + 18; f = t + 3; b = s + 14; v = n + 9; e = t + 18; o = v + 10; j = e + 2. If t = 18, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = n + 9 to o, which gives o = n + 19.\n2. Substitute n = p + 2 to o, which gives o = p + 21.\n3. Substitute p = j + 18 to o, which gives o = j + 39.\n4. Substitute j = e + 2 to o, which gives o = e + 41.\n5. Substitute e = t + 18 to o, which gives o = t + 59.\n6. Substitute t = 18 to o, which gives o = 77.\n\nThus, the final answer is o = \\boxed{77}.",
"index": 16649,
"question": "Consider a system of variables where each variable is defined as follows: q = b + 8; l = f + 7; t = 18; s = a + 18; n = p + 2; a = l + 8; p = j + 18; f = t + 3; b = s + 14; v = n + 9; e = t + 18; o = v + 10; j = e + 2. If t = 18, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"z": "t + 18", "h": "z + 17", "g": "h + 7", "o": "g + 9", "j": "o + 20", "n": "j + 14", "a": "t + 9", "v": "a + 6", "m": "v + 16", "r": "m + 7", "p": "r + 3", "q": "p + 1", "t": 18}, "premises": {"t": 18}, "target": "n"}, "answer": {"steps": [["j", "o + 20", "o + 34"], ["o", "g + 9", "g + 43"], ["g", "h + 7", "h + 50"], ["h", "z + 17", "z + 67"], ["z", "t + 18", "t + 85"], ["t", 18, "103"]], "target_var_name": "n", "target_value": 103, "value_dict": {"t": 18}, "is_reverse": true}} | 16,650 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = 18; o = g + 9; n = j + 14; g = h + 7; v = a + 6; m = v + 16; j = o + 20; a = t + 9; q = p + 1; r = m + 7; h = z + 17; p = r + 3; z = t + 18. Given that t = 18, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 103,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = o + 20 to n, which gives n = o + 34.\n2. Substitute o = g + 9 to n, which gives n = g + 43.\n3. Substitute g = h + 7 to n, which gives n = h + 50.\n4. Substitute h = z + 17 to n, which gives n = z + 67.\n5. Substitute z = t + 18 to n, which gives n = t + 85.\n6. Substitute t = 18 to n, which gives n = 103.\n\nThus, the final answer is n = \\boxed{103}.",
"index": 16650,
"question": "Suppose a collection of variables is related by the following definitions: t = 18; o = g + 9; n = j + 14; g = h + 7; v = a + 6; m = v + 16; j = o + 20; a = t + 9; q = p + 1; r = m + 7; h = z + 17; p = r + 3; z = t + 18. Given that t = 18, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"i": "q + 12", "x": "i + 12", "a": "x + 9", "y": "a + 13", "l": "y + 11", "f": "l + 8", "w": "q + 15", "n": "w + 2", "e": "n + 19", "t": "e + 16", "s": "t + 11", "r": "s + 14", "q": 8}, "premises": {"q": 8}, "target": "f"}, "answer": {"steps": [["l", "y + 11", "y + 19"], ["y", "a + 13", "a + 32"], ["a", "x + 9", "x + 41"], ["x", "i + 12", "i + 53"], ["i", "q + 12", "q + 65"], ["q", 8, "73"]], "target_var_name": "f", "target_value": 73, "value_dict": {"q": 8}, "is_reverse": true}} | 16,651 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = s + 14; t = e + 16; x = i + 12; w = q + 15; e = n + 19; y = a + 13; i = q + 12; f = l + 8; q = 8; l = y + 11; a = x + 9; s = t + 11; n = w + 2. Given that q = 8, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = y + 11 to f, which gives f = y + 19.\n2. Substitute y = a + 13 to f, which gives f = a + 32.\n3. Substitute a = x + 9 to f, which gives f = x + 41.\n4. Substitute x = i + 12 to f, which gives f = i + 53.\n5. Substitute i = q + 12 to f, which gives f = q + 65.\n6. Substitute q = 8 to f, which gives f = 73.\n\nThus, the final answer is f = \\boxed{73}.",
"index": 16651,
"question": "Suppose a collection of variables is related by the following definitions: r = s + 14; t = e + 16; x = i + 12; w = q + 15; e = n + 19; y = a + 13; i = q + 12; f = l + 8; q = 8; l = y + 11; a = x + 9; s = t + 11; n = w + 2. Given that q = 8, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"z": "t + 10", "j": "z + 16", "f": "j + 7", "k": "f + 7", "m": "k + 3", "g": "m + 3", "u": "t + 17", "o": "u + 7", "d": "o + 1", "v": "d + 17", "e": "v + 16", "y": "e + 8", "t": 19}, "premises": {"t": 19}, "target": "g"}, "answer": {"steps": [["m", "k + 3", "k + 6"], ["k", "f + 7", "f + 13"], ["f", "j + 7", "j + 20"], ["j", "z + 16", "z + 36"], ["z", "t + 10", "t + 46"], ["t", 19, "65"]], "target_var_name": "g", "target_value": 65, "value_dict": {"t": 19}, "is_reverse": true}} | 16,652 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = t + 10; e = v + 16; d = o + 1; f = j + 7; v = d + 17; y = e + 8; k = f + 7; m = k + 3; j = z + 16; t = 19; u = t + 17; g = m + 3; o = u + 7. Given that t = 19, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = k + 3 to g, which gives g = k + 6.\n2. Substitute k = f + 7 to g, which gives g = f + 13.\n3. Substitute f = j + 7 to g, which gives g = j + 20.\n4. Substitute j = z + 16 to g, which gives g = z + 36.\n5. Substitute z = t + 10 to g, which gives g = t + 46.\n6. Substitute t = 19 to g, which gives g = 65.\n\nThus, the final answer is g = \\boxed{65}.",
"index": 16652,
"question": "Suppose a collection of variables is related by the following definitions: z = t + 10; e = v + 16; d = o + 1; f = j + 7; v = d + 17; y = e + 8; k = f + 7; m = k + 3; j = z + 16; t = 19; u = t + 17; g = m + 3; o = u + 7. Given that t = 19, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"v": "y + 12", "s": "v + 16", "o": "s + 14", "i": "o + 17", "c": "i + 2", "q": "c + 6", "h": "y + 13", "z": "h + 16", "x": "z + 14", "f": "x + 17", "n": "f + 8", "r": "n + 15", "y": 5}, "premises": {"y": 5}, "target": "q"}, "answer": {"steps": [["c", "i + 2", "i + 8"], ["i", "o + 17", "o + 25"], ["o", "s + 14", "s + 39"], ["s", "v + 16", "v + 55"], ["v", "y + 12", "y + 67"], ["y", 5, "72"]], "target_var_name": "q", "target_value": 72, "value_dict": {"y": 5}, "is_reverse": true}} | 16,653 | 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 = y + 12; f = x + 17; h = y + 13; n = f + 8; y = 5; o = s + 14; x = z + 14; i = o + 17; q = c + 6; r = n + 15; z = h + 16; c = i + 2; s = v + 16. If y = 5, what is the resulting 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 c = i + 2 to q, which gives q = i + 8.\n2. Substitute i = o + 17 to q, which gives q = o + 25.\n3. Substitute o = s + 14 to q, which gives q = s + 39.\n4. Substitute s = v + 16 to q, which gives q = v + 55.\n5. Substitute v = y + 12 to q, which gives q = y + 67.\n6. Substitute y = 5 to q, which gives q = 72.\n\nThus, the final answer is q = \\boxed{72}.",
"index": 16653,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = y + 12; f = x + 17; h = y + 13; n = f + 8; y = 5; o = s + 14; x = z + 14; i = o + 17; q = c + 6; r = n + 15; z = h + 16; c = i + 2; s = v + 16. If y = 5, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"m": "s + 10", "g": "m + 10", "p": "g + 15", "l": "p + 8", "n": "l + 8", "a": "n + 19", "u": "s + 9", "i": "u + 2", "t": "i + 7", "b": "t + 15", "v": "b + 19", "y": "v + 18", "s": 3}, "premises": {"s": 3}, "target": "a"}, "answer": {"steps": [["n", "l + 8", "l + 27"], ["l", "p + 8", "p + 35"], ["p", "g + 15", "g + 50"], ["g", "m + 10", "m + 60"], ["m", "s + 10", "s + 70"], ["s", 3, "73"]], "target_var_name": "a", "target_value": 73, "value_dict": {"s": 3}, "is_reverse": true}} | 16,654 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = 3; g = m + 10; u = s + 9; p = g + 15; y = v + 18; n = l + 8; i = u + 2; v = b + 19; a = n + 19; b = t + 15; l = p + 8; m = s + 10; t = i + 7. If s = 3, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = l + 8 to a, which gives a = l + 27.\n2. Substitute l = p + 8 to a, which gives a = p + 35.\n3. Substitute p = g + 15 to a, which gives a = g + 50.\n4. Substitute g = m + 10 to a, which gives a = m + 60.\n5. Substitute m = s + 10 to a, which gives a = s + 70.\n6. Substitute s = 3 to a, which gives a = 73.\n\nThus, the final answer is a = \\boxed{73}.",
"index": 16654,
"question": "Consider a system of variables where each variable is defined as follows: s = 3; g = m + 10; u = s + 9; p = g + 15; y = v + 18; n = l + 8; i = u + 2; v = b + 19; a = n + 19; b = t + 15; l = p + 8; m = s + 10; t = i + 7. If s = 3, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"n": "e + 18", "o": "n + 6", "y": "o + 7", "p": "y + 4", "l": "p + 12", "w": "l + 4", "h": "e + 9", "v": "h + 3", "m": "v + 14", "x": "m + 7", "i": "x + 4", "j": "i + 5", "e": 7}, "premises": {"e": 7}, "target": "w"}, "answer": {"steps": [["l", "p + 12", "p + 16"], ["p", "y + 4", "y + 20"], ["y", "o + 7", "o + 27"], ["o", "n + 6", "n + 33"], ["n", "e + 18", "e + 51"], ["e", 7, "58"]], "target_var_name": "w", "target_value": 58, "value_dict": {"e": 7}, "is_reverse": true}} | 16,655 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = 7; h = e + 9; p = y + 4; y = o + 7; m = v + 14; j = i + 5; x = m + 7; l = p + 12; v = h + 3; i = x + 4; n = e + 18; w = l + 4; o = n + 6. Given that e = 7, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = p + 12 to w, which gives w = p + 16.\n2. Substitute p = y + 4 to w, which gives w = y + 20.\n3. Substitute y = o + 7 to w, which gives w = o + 27.\n4. Substitute o = n + 6 to w, which gives w = n + 33.\n5. Substitute n = e + 18 to w, which gives w = e + 51.\n6. Substitute e = 7 to w, which gives w = 58.\n\nThus, the final answer is w = \\boxed{58}.",
"index": 16655,
"question": "Suppose a collection of variables is related by the following definitions: e = 7; h = e + 9; p = y + 4; y = o + 7; m = v + 14; j = i + 5; x = m + 7; l = p + 12; v = h + 3; i = x + 4; n = e + 18; w = l + 4; o = n + 6. Given that e = 7, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"f": "e + 7", "k": "f + 20", "o": "k + 5", "c": "o + 18", "s": "c + 3", "n": "s + 19", "x": "e + 7", "j": "x + 5", "u": "j + 18", "a": "u + 12", "b": "a + 16", "t": "b + 11", "e": 9}, "premises": {"e": 9}, "target": "n"}, "answer": {"steps": [["s", "c + 3", "c + 22"], ["c", "o + 18", "o + 40"], ["o", "k + 5", "k + 45"], ["k", "f + 20", "f + 65"], ["f", "e + 7", "e + 72"], ["e", 9, "81"]], "target_var_name": "n", "target_value": 81, "value_dict": {"e": 9}, "is_reverse": true}} | 16,656 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = o + 18; j = x + 5; n = s + 19; t = b + 11; u = j + 18; f = e + 7; a = u + 12; b = a + 16; e = 9; o = k + 5; k = f + 20; x = e + 7; s = c + 3. Given that e = 9, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = c + 3 to n, which gives n = c + 22.\n2. Substitute c = o + 18 to n, which gives n = o + 40.\n3. Substitute o = k + 5 to n, which gives n = k + 45.\n4. Substitute k = f + 20 to n, which gives n = f + 65.\n5. Substitute f = e + 7 to n, which gives n = e + 72.\n6. Substitute e = 9 to n, which gives n = 81.\n\nThus, the final answer is n = \\boxed{81}.",
"index": 16656,
"question": "Suppose a collection of variables is related by the following definitions: c = o + 18; j = x + 5; n = s + 19; t = b + 11; u = j + 18; f = e + 7; a = u + 12; b = a + 16; e = 9; o = k + 5; k = f + 20; x = e + 7; s = c + 3. Given that e = 9, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"p": "y + 19", "w": "p + 12", "j": "w + 9", "k": "j + 6", "e": "k + 20", "o": "e + 13", "c": "y + 2", "a": "c + 1", "r": "a + 5", "d": "r + 3", "m": "d + 6", "i": "m + 13", "y": 16}, "premises": {"y": 16}, "target": "o"}, "answer": {"steps": [["e", "k + 20", "k + 33"], ["k", "j + 6", "j + 39"], ["j", "w + 9", "w + 48"], ["w", "p + 12", "p + 60"], ["p", "y + 19", "y + 79"], ["y", 16, "95"]], "target_var_name": "o", "target_value": 95, "value_dict": {"y": 16}, "is_reverse": true}} | 16,657 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = j + 6; i = m + 13; j = w + 9; r = a + 5; p = y + 19; d = r + 3; e = k + 20; c = y + 2; w = p + 12; a = c + 1; o = e + 13; m = d + 6; y = 16. Given that y = 16, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = k + 20 to o, which gives o = k + 33.\n2. Substitute k = j + 6 to o, which gives o = j + 39.\n3. Substitute j = w + 9 to o, which gives o = w + 48.\n4. Substitute w = p + 12 to o, which gives o = p + 60.\n5. Substitute p = y + 19 to o, which gives o = y + 79.\n6. Substitute y = 16 to o, which gives o = 95.\n\nThus, the final answer is o = \\boxed{95}.",
"index": 16657,
"question": "Suppose a collection of variables is related by the following definitions: k = j + 6; i = m + 13; j = w + 9; r = a + 5; p = y + 19; d = r + 3; e = k + 20; c = y + 2; w = p + 12; a = c + 1; o = e + 13; m = d + 6; y = 16. Given that y = 16, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"q": "l + 11", "k": "q + 8", "r": "k + 20", "i": "r + 13", "f": "i + 5", "u": "f + 15", "t": "l + 6", "c": "t + 5", "n": "c + 11", "b": "n + 15", "z": "b + 7", "o": "z + 14", "l": 17}, "premises": {"l": 17}, "target": "u"}, "answer": {"steps": [["f", "i + 5", "i + 20"], ["i", "r + 13", "r + 33"], ["r", "k + 20", "k + 53"], ["k", "q + 8", "q + 61"], ["q", "l + 11", "l + 72"], ["l", 17, "89"]], "target_var_name": "u", "target_value": 89, "value_dict": {"l": 17}, "is_reverse": true}} | 16,658 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = q + 8; u = f + 15; z = b + 7; b = n + 15; f = i + 5; q = l + 11; i = r + 13; o = z + 14; t = l + 6; r = k + 20; c = t + 5; n = c + 11; l = 17. If l = 17, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = i + 5 to u, which gives u = i + 20.\n2. Substitute i = r + 13 to u, which gives u = r + 33.\n3. Substitute r = k + 20 to u, which gives u = k + 53.\n4. Substitute k = q + 8 to u, which gives u = q + 61.\n5. Substitute q = l + 11 to u, which gives u = l + 72.\n6. Substitute l = 17 to u, which gives u = 89.\n\nThus, the final answer is u = \\boxed{89}.",
"index": 16658,
"question": "Consider a system of variables where each variable is defined as follows: k = q + 8; u = f + 15; z = b + 7; b = n + 15; f = i + 5; q = l + 11; i = r + 13; o = z + 14; t = l + 6; r = k + 20; c = t + 5; n = c + 11; l = 17. If l = 17, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"f": "z + 20", "b": "f + 10", "l": "b + 6", "u": "l + 16", "j": "u + 16", "d": "j + 10", "h": "z + 15", "p": "h + 5", "t": "p + 9", "x": "t + 3", "q": "x + 12", "c": "q + 3", "z": 10}, "premises": {"z": 10}, "target": "d"}, "answer": {"steps": [["j", "u + 16", "u + 26"], ["u", "l + 16", "l + 42"], ["l", "b + 6", "b + 48"], ["b", "f + 10", "f + 58"], ["f", "z + 20", "z + 78"], ["z", 10, "88"]], "target_var_name": "d", "target_value": 88, "value_dict": {"z": 10}, "is_reverse": true}} | 16,659 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = t + 3; d = j + 10; b = f + 10; p = h + 5; t = p + 9; f = z + 20; l = b + 6; z = 10; q = x + 12; h = z + 15; j = u + 16; c = q + 3; u = l + 16. If z = 10, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = u + 16 to d, which gives d = u + 26.\n2. Substitute u = l + 16 to d, which gives d = l + 42.\n3. Substitute l = b + 6 to d, which gives d = b + 48.\n4. Substitute b = f + 10 to d, which gives d = f + 58.\n5. Substitute f = z + 20 to d, which gives d = z + 78.\n6. Substitute z = 10 to d, which gives d = 88.\n\nThus, the final answer is d = \\boxed{88}.",
"index": 16659,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = t + 3; d = j + 10; b = f + 10; p = h + 5; t = p + 9; f = z + 20; l = b + 6; z = 10; q = x + 12; h = z + 15; j = u + 16; c = q + 3; u = l + 16. If z = 10, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"n": "t + 14", "u": "n + 4", "s": "u + 9", "a": "s + 14", "h": "a + 4", "c": "h + 9", "p": "t + 11", "b": "p + 18", "z": "b + 16", "w": "z + 15", "y": "w + 20", "r": "y + 5", "t": 3}, "premises": {"t": 3}, "target": "c"}, "answer": {"steps": [["h", "a + 4", "a + 13"], ["a", "s + 14", "s + 27"], ["s", "u + 9", "u + 36"], ["u", "n + 4", "n + 40"], ["n", "t + 14", "t + 54"], ["t", 3, "57"]], "target_var_name": "c", "target_value": 57, "value_dict": {"t": 3}, "is_reverse": true}} | 16,660 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = y + 5; z = b + 16; u = n + 4; y = w + 20; c = h + 9; t = 3; n = t + 14; s = u + 9; p = t + 11; w = z + 15; b = p + 18; h = a + 4; a = s + 14. Given that t = 3, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = a + 4 to c, which gives c = a + 13.\n2. Substitute a = s + 14 to c, which gives c = s + 27.\n3. Substitute s = u + 9 to c, which gives c = u + 36.\n4. Substitute u = n + 4 to c, which gives c = n + 40.\n5. Substitute n = t + 14 to c, which gives c = t + 54.\n6. Substitute t = 3 to c, which gives c = 57.\n\nThus, the final answer is c = \\boxed{57}.",
"index": 16660,
"question": "Suppose a collection of variables is related by the following definitions: r = y + 5; z = b + 16; u = n + 4; y = w + 20; c = h + 9; t = 3; n = t + 14; s = u + 9; p = t + 11; w = z + 15; b = p + 18; h = a + 4; a = s + 14. Given that t = 3, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"g": "e + 16", "j": "g + 6", "d": "j + 16", "w": "d + 4", "f": "w + 1", "c": "f + 9", "y": "e + 12", "l": "y + 18", "r": "l + 10", "a": "r + 19", "u": "a + 9", "o": "u + 19", "e": 7}, "premises": {"e": 7}, "target": "c"}, "answer": {"steps": [["f", "w + 1", "w + 10"], ["w", "d + 4", "d + 14"], ["d", "j + 16", "j + 30"], ["j", "g + 6", "g + 36"], ["g", "e + 16", "e + 52"], ["e", 7, "59"]], "target_var_name": "c", "target_value": 59, "value_dict": {"e": 7}, "is_reverse": true}} | 16,661 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = f + 9; u = a + 9; g = e + 16; d = j + 16; w = d + 4; y = e + 12; l = y + 18; a = r + 19; j = g + 6; e = 7; o = u + 19; f = w + 1; r = l + 10. If e = 7, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = w + 1 to c, which gives c = w + 10.\n2. Substitute w = d + 4 to c, which gives c = d + 14.\n3. Substitute d = j + 16 to c, which gives c = j + 30.\n4. Substitute j = g + 6 to c, which gives c = g + 36.\n5. Substitute g = e + 16 to c, which gives c = e + 52.\n6. Substitute e = 7 to c, which gives c = 59.\n\nThus, the final answer is c = \\boxed{59}.",
"index": 16661,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = f + 9; u = a + 9; g = e + 16; d = j + 16; w = d + 4; y = e + 12; l = y + 18; a = r + 19; j = g + 6; e = 7; o = u + 19; f = w + 1; r = l + 10. If e = 7, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"i": "b + 2", "z": "i + 17", "p": "z + 20", "s": "p + 7", "d": "s + 4", "q": "d + 19", "t": "b + 16", "u": "t + 3", "e": "u + 5", "h": "e + 12", "y": "h + 7", "a": "y + 20", "b": 10}, "premises": {"b": 10}, "target": "q"}, "answer": {"steps": [["d", "s + 4", "s + 23"], ["s", "p + 7", "p + 30"], ["p", "z + 20", "z + 50"], ["z", "i + 17", "i + 67"], ["i", "b + 2", "b + 69"], ["b", 10, "79"]], "target_var_name": "q", "target_value": 79, "value_dict": {"b": 10}, "is_reverse": true}} | 16,662 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = z + 20; i = b + 2; u = t + 3; y = h + 7; d = s + 4; s = p + 7; t = b + 16; h = e + 12; z = i + 17; b = 10; q = d + 19; e = u + 5; a = y + 20. If b = 10, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = s + 4 to q, which gives q = s + 23.\n2. Substitute s = p + 7 to q, which gives q = p + 30.\n3. Substitute p = z + 20 to q, which gives q = z + 50.\n4. Substitute z = i + 17 to q, which gives q = i + 67.\n5. Substitute i = b + 2 to q, which gives q = b + 69.\n6. Substitute b = 10 to q, which gives q = 79.\n\nThus, the final answer is q = \\boxed{79}.",
"index": 16662,
"question": "Consider a system of variables where each variable is defined as follows: p = z + 20; i = b + 2; u = t + 3; y = h + 7; d = s + 4; s = p + 7; t = b + 16; h = e + 12; z = i + 17; b = 10; q = d + 19; e = u + 5; a = y + 20. If b = 10, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"h": "n + 15", "c": "h + 9", "j": "c + 6", "s": "j + 11", "q": "s + 14", "p": "q + 18", "e": "n + 16", "v": "e + 14", "a": "v + 7", "i": "a + 11", "y": "i + 15", "u": "y + 17", "n": 16}, "premises": {"n": 16}, "target": "p"}, "answer": {"steps": [["q", "s + 14", "s + 32"], ["s", "j + 11", "j + 43"], ["j", "c + 6", "c + 49"], ["c", "h + 9", "h + 58"], ["h", "n + 15", "n + 73"], ["n", 16, "89"]], "target_var_name": "p", "target_value": 89, "value_dict": {"n": 16}, "is_reverse": true}} | 16,663 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = v + 7; q = s + 14; p = q + 18; v = e + 14; y = i + 15; s = j + 11; e = n + 16; c = h + 9; i = a + 11; j = c + 6; u = y + 17; h = n + 15; n = 16. Given that n = 16, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = s + 14 to p, which gives p = s + 32.\n2. Substitute s = j + 11 to p, which gives p = j + 43.\n3. Substitute j = c + 6 to p, which gives p = c + 49.\n4. Substitute c = h + 9 to p, which gives p = h + 58.\n5. Substitute h = n + 15 to p, which gives p = n + 73.\n6. Substitute n = 16 to p, which gives p = 89.\n\nThus, the final answer is p = \\boxed{89}.",
"index": 16663,
"question": "Suppose a collection of variables is related by the following definitions: a = v + 7; q = s + 14; p = q + 18; v = e + 14; y = i + 15; s = j + 11; e = n + 16; c = h + 9; i = a + 11; j = c + 6; u = y + 17; h = n + 15; n = 16. Given that n = 16, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"x": "i + 4", "b": "x + 13", "y": "b + 7", "n": "y + 3", "z": "n + 11", "t": "z + 11", "o": "i + 3", "d": "o + 1", "h": "d + 3", "f": "h + 7", "k": "f + 17", "c": "k + 14", "i": 17}, "premises": {"i": 17}, "target": "t"}, "answer": {"steps": [["z", "n + 11", "n + 22"], ["n", "y + 3", "y + 25"], ["y", "b + 7", "b + 32"], ["b", "x + 13", "x + 45"], ["x", "i + 4", "i + 49"], ["i", 17, "66"]], "target_var_name": "t", "target_value": 66, "value_dict": {"i": 17}, "is_reverse": true}} | 16,664 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = h + 7; o = i + 3; h = d + 3; z = n + 11; n = y + 3; y = b + 7; b = x + 13; t = z + 11; d = o + 1; x = i + 4; c = k + 14; i = 17; k = f + 17. Given that i = 17, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = n + 11 to t, which gives t = n + 22.\n2. Substitute n = y + 3 to t, which gives t = y + 25.\n3. Substitute y = b + 7 to t, which gives t = b + 32.\n4. Substitute b = x + 13 to t, which gives t = x + 45.\n5. Substitute x = i + 4 to t, which gives t = i + 49.\n6. Substitute i = 17 to t, which gives t = 66.\n\nThus, the final answer is t = \\boxed{66}.",
"index": 16664,
"question": "Suppose a collection of variables is related by the following definitions: f = h + 7; o = i + 3; h = d + 3; z = n + 11; n = y + 3; y = b + 7; b = x + 13; t = z + 11; d = o + 1; x = i + 4; c = k + 14; i = 17; k = f + 17. Given that i = 17, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"c": "o + 10", "t": "c + 17", "u": "t + 8", "p": "u + 9", "z": "p + 10", "i": "z + 14", "f": "o + 13", "h": "f + 20", "k": "h + 15", "j": "k + 6", "q": "j + 20", "y": "q + 11", "o": 10}, "premises": {"o": 10}, "target": "i"}, "answer": {"steps": [["z", "p + 10", "p + 24"], ["p", "u + 9", "u + 33"], ["u", "t + 8", "t + 41"], ["t", "c + 17", "c + 58"], ["c", "o + 10", "o + 68"], ["o", 10, "78"]], "target_var_name": "i", "target_value": 78, "value_dict": {"o": 10}, "is_reverse": true}} | 16,665 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = c + 17; h = f + 20; j = k + 6; o = 10; q = j + 20; f = o + 13; z = p + 10; p = u + 9; k = h + 15; c = o + 10; u = t + 8; i = z + 14; y = q + 11. If o = 10, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = p + 10 to i, which gives i = p + 24.\n2. Substitute p = u + 9 to i, which gives i = u + 33.\n3. Substitute u = t + 8 to i, which gives i = t + 41.\n4. Substitute t = c + 17 to i, which gives i = c + 58.\n5. Substitute c = o + 10 to i, which gives i = o + 68.\n6. Substitute o = 10 to i, which gives i = 78.\n\nThus, the final answer is i = \\boxed{78}.",
"index": 16665,
"question": "Consider a system of variables where each variable is defined as follows: t = c + 17; h = f + 20; j = k + 6; o = 10; q = j + 20; f = o + 13; z = p + 10; p = u + 9; k = h + 15; c = o + 10; u = t + 8; i = z + 14; y = q + 11. If o = 10, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"p": "s + 17", "q": "p + 19", "u": "q + 8", "x": "u + 16", "r": "x + 20", "h": "r + 7", "b": "s + 15", "a": "b + 4", "v": "a + 19", "o": "v + 18", "w": "o + 11", "y": "w + 1", "s": 9}, "premises": {"s": 9}, "target": "h"}, "answer": {"steps": [["r", "x + 20", "x + 27"], ["x", "u + 16", "u + 43"], ["u", "q + 8", "q + 51"], ["q", "p + 19", "p + 70"], ["p", "s + 17", "s + 87"], ["s", 9, "96"]], "target_var_name": "h", "target_value": 96, "value_dict": {"s": 9}, "is_reverse": true}} | 16,666 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = w + 1; h = r + 7; r = x + 20; o = v + 18; w = o + 11; s = 9; v = a + 19; a = b + 4; q = p + 19; p = s + 17; b = s + 15; x = u + 16; u = q + 8. If s = 9, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = x + 20 to h, which gives h = x + 27.\n2. Substitute x = u + 16 to h, which gives h = u + 43.\n3. Substitute u = q + 8 to h, which gives h = q + 51.\n4. Substitute q = p + 19 to h, which gives h = p + 70.\n5. Substitute p = s + 17 to h, which gives h = s + 87.\n6. Substitute s = 9 to h, which gives h = 96.\n\nThus, the final answer is h = \\boxed{96}.",
"index": 16666,
"question": "Consider a system of variables where each variable is defined as follows: y = w + 1; h = r + 7; r = x + 20; o = v + 18; w = o + 11; s = 9; v = a + 19; a = b + 4; q = p + 19; p = s + 17; b = s + 15; x = u + 16; u = q + 8. If s = 9, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"d": "q + 11", "t": "d + 2", "s": "t + 2", "l": "s + 6", "f": "l + 11", "e": "f + 18", "b": "q + 6", "c": "b + 7", "w": "c + 17", "g": "w + 1", "y": "g + 9", "i": "y + 17", "q": 17}, "premises": {"q": 17}, "target": "e"}, "answer": {"steps": [["f", "l + 11", "l + 29"], ["l", "s + 6", "s + 35"], ["s", "t + 2", "t + 37"], ["t", "d + 2", "d + 39"], ["d", "q + 11", "q + 50"], ["q", 17, "67"]], "target_var_name": "e", "target_value": 67, "value_dict": {"q": 17}, "is_reverse": true}} | 16,667 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = g + 9; l = s + 6; g = w + 1; e = f + 18; i = y + 17; q = 17; w = c + 17; s = t + 2; d = q + 11; f = l + 11; b = q + 6; c = b + 7; t = d + 2. Given that q = 17, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = l + 11 to e, which gives e = l + 29.\n2. Substitute l = s + 6 to e, which gives e = s + 35.\n3. Substitute s = t + 2 to e, which gives e = t + 37.\n4. Substitute t = d + 2 to e, which gives e = d + 39.\n5. Substitute d = q + 11 to e, which gives e = q + 50.\n6. Substitute q = 17 to e, which gives e = 67.\n\nThus, the final answer is e = \\boxed{67}.",
"index": 16667,
"question": "Suppose a collection of variables is related by the following definitions: y = g + 9; l = s + 6; g = w + 1; e = f + 18; i = y + 17; q = 17; w = c + 17; s = t + 2; d = q + 11; f = l + 11; b = q + 6; c = b + 7; t = d + 2. Given that q = 17, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"v": "j + 5", "c": "v + 11", "s": "c + 20", "i": "s + 3", "b": "i + 3", "l": "b + 11", "q": "j + 7", "o": "q + 7", "p": "o + 7", "h": "p + 1", "a": "h + 4", "d": "a + 9", "j": 5}, "premises": {"j": 5}, "target": "l"}, "answer": {"steps": [["b", "i + 3", "i + 14"], ["i", "s + 3", "s + 17"], ["s", "c + 20", "c + 37"], ["c", "v + 11", "v + 48"], ["v", "j + 5", "j + 53"], ["j", 5, "58"]], "target_var_name": "l", "target_value": 58, "value_dict": {"j": 5}, "is_reverse": true}} | 16,668 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = b + 11; a = h + 4; d = a + 9; o = q + 7; h = p + 1; i = s + 3; v = j + 5; b = i + 3; s = c + 20; q = j + 7; c = v + 11; j = 5; p = o + 7. Given that j = 5, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = i + 3 to l, which gives l = i + 14.\n2. Substitute i = s + 3 to l, which gives l = s + 17.\n3. Substitute s = c + 20 to l, which gives l = c + 37.\n4. Substitute c = v + 11 to l, which gives l = v + 48.\n5. Substitute v = j + 5 to l, which gives l = j + 53.\n6. Substitute j = 5 to l, which gives l = 58.\n\nThus, the final answer is l = \\boxed{58}.",
"index": 16668,
"question": "Suppose a collection of variables is related by the following definitions: l = b + 11; a = h + 4; d = a + 9; o = q + 7; h = p + 1; i = s + 3; v = j + 5; b = i + 3; s = c + 20; q = j + 7; c = v + 11; j = 5; p = o + 7. Given that j = 5, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"v": "l + 9", "o": "v + 12", "g": "o + 7", "t": "g + 6", "y": "t + 8", "z": "y + 2", "p": "l + 10", "r": "p + 15", "u": "r + 6", "s": "u + 1", "k": "s + 13", "e": "k + 7", "l": 1}, "premises": {"l": 1}, "target": "z"}, "answer": {"steps": [["y", "t + 8", "t + 10"], ["t", "g + 6", "g + 16"], ["g", "o + 7", "o + 23"], ["o", "v + 12", "v + 35"], ["v", "l + 9", "l + 44"], ["l", 1, "45"]], "target_var_name": "z", "target_value": 45, "value_dict": {"l": 1}, "is_reverse": true}} | 16,669 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = v + 12; s = u + 1; l = 1; p = l + 10; u = r + 6; r = p + 15; k = s + 13; t = g + 6; y = t + 8; g = o + 7; v = l + 9; z = y + 2; e = k + 7. Given that l = 1, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = t + 8 to z, which gives z = t + 10.\n2. Substitute t = g + 6 to z, which gives z = g + 16.\n3. Substitute g = o + 7 to z, which gives z = o + 23.\n4. Substitute o = v + 12 to z, which gives z = v + 35.\n5. Substitute v = l + 9 to z, which gives z = l + 44.\n6. Substitute l = 1 to z, which gives z = 45.\n\nThus, the final answer is z = \\boxed{45}.",
"index": 16669,
"question": "Suppose a collection of variables is related by the following definitions: o = v + 12; s = u + 1; l = 1; p = l + 10; u = r + 6; r = p + 15; k = s + 13; t = g + 6; y = t + 8; g = o + 7; v = l + 9; z = y + 2; e = k + 7. Given that l = 1, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"x": "b + 15", "y": "x + 15", "r": "y + 11", "d": "r + 11", "s": "d + 13", "k": "s + 7", "p": "b + 18", "j": "p + 1", "e": "j + 18", "v": "e + 1", "n": "v + 6", "o": "n + 6", "b": 12}, "premises": {"b": 12}, "target": "k"}, "answer": {"steps": [["s", "d + 13", "d + 20"], ["d", "r + 11", "r + 31"], ["r", "y + 11", "y + 42"], ["y", "x + 15", "x + 57"], ["x", "b + 15", "b + 72"], ["b", 12, "84"]], "target_var_name": "k", "target_value": 84, "value_dict": {"b": 12}, "is_reverse": true}} | 16,670 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = y + 11; s = d + 13; x = b + 15; y = x + 15; j = p + 1; e = j + 18; o = n + 6; n = v + 6; d = r + 11; v = e + 1; p = b + 18; k = s + 7; b = 12. Given that b = 12, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = d + 13 to k, which gives k = d + 20.\n2. Substitute d = r + 11 to k, which gives k = r + 31.\n3. Substitute r = y + 11 to k, which gives k = y + 42.\n4. Substitute y = x + 15 to k, which gives k = x + 57.\n5. Substitute x = b + 15 to k, which gives k = b + 72.\n6. Substitute b = 12 to k, which gives k = 84.\n\nThus, the final answer is k = \\boxed{84}.",
"index": 16670,
"question": "Suppose a collection of variables is related by the following definitions: r = y + 11; s = d + 13; x = b + 15; y = x + 15; j = p + 1; e = j + 18; o = n + 6; n = v + 6; d = r + 11; v = e + 1; p = b + 18; k = s + 7; b = 12. Given that b = 12, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"d": "p + 20", "q": "d + 5", "x": "q + 8", "c": "x + 1", "i": "c + 1", "b": "i + 1", "s": "p + 19", "f": "s + 1", "o": "f + 1", "k": "o + 12", "v": "k + 14", "h": "v + 16", "p": 9}, "premises": {"p": 9}, "target": "b"}, "answer": {"steps": [["i", "c + 1", "c + 2"], ["c", "x + 1", "x + 3"], ["x", "q + 8", "q + 11"], ["q", "d + 5", "d + 16"], ["d", "p + 20", "p + 36"], ["p", 9, "45"]], "target_var_name": "b", "target_value": 45, "value_dict": {"p": 9}, "is_reverse": true}} | 16,671 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = v + 16; p = 9; q = d + 5; c = x + 1; f = s + 1; v = k + 14; s = p + 19; x = q + 8; b = i + 1; o = f + 1; d = p + 20; k = o + 12; i = c + 1. Given that p = 9, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = c + 1 to b, which gives b = c + 2.\n2. Substitute c = x + 1 to b, which gives b = x + 3.\n3. Substitute x = q + 8 to b, which gives b = q + 11.\n4. Substitute q = d + 5 to b, which gives b = d + 16.\n5. Substitute d = p + 20 to b, which gives b = p + 36.\n6. Substitute p = 9 to b, which gives b = 45.\n\nThus, the final answer is b = \\boxed{45}.",
"index": 16671,
"question": "Suppose a collection of variables is related by the following definitions: h = v + 16; p = 9; q = d + 5; c = x + 1; f = s + 1; v = k + 14; s = p + 19; x = q + 8; b = i + 1; o = f + 1; d = p + 20; k = o + 12; i = c + 1. Given that p = 9, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"m": "f + 3", "g": "m + 3", "s": "g + 12", "q": "s + 16", "y": "q + 4", "w": "y + 5", "n": "f + 19", "h": "n + 4", "j": "h + 19", "t": "j + 12", "e": "t + 13", "c": "e + 5", "f": 2}, "premises": {"f": 2}, "target": "w"}, "answer": {"steps": [["y", "q + 4", "q + 9"], ["q", "s + 16", "s + 25"], ["s", "g + 12", "g + 37"], ["g", "m + 3", "m + 40"], ["m", "f + 3", "f + 43"], ["f", 2, "45"]], "target_var_name": "w", "target_value": 45, "value_dict": {"f": 2}, "is_reverse": true}} | 16,672 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = t + 13; t = j + 12; m = f + 3; w = y + 5; y = q + 4; c = e + 5; s = g + 12; h = n + 4; n = f + 19; j = h + 19; f = 2; g = m + 3; q = s + 16. If f = 2, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = q + 4 to w, which gives w = q + 9.\n2. Substitute q = s + 16 to w, which gives w = s + 25.\n3. Substitute s = g + 12 to w, which gives w = g + 37.\n4. Substitute g = m + 3 to w, which gives w = m + 40.\n5. Substitute m = f + 3 to w, which gives w = f + 43.\n6. Substitute f = 2 to w, which gives w = 45.\n\nThus, the final answer is w = \\boxed{45}.",
"index": 16672,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = t + 13; t = j + 12; m = f + 3; w = y + 5; y = q + 4; c = e + 5; s = g + 12; h = n + 4; n = f + 19; j = h + 19; f = 2; g = m + 3; q = s + 16. If f = 2, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"u": "s + 17", "f": "u + 6", "x": "f + 2", "v": "x + 18", "t": "v + 8", "n": "t + 13", "y": "s + 4", "z": "y + 16", "a": "z + 10", "g": "a + 5", "w": "g + 19", "o": "w + 5", "s": 16}, "premises": {"s": 16}, "target": "n"}, "answer": {"steps": [["t", "v + 8", "v + 21"], ["v", "x + 18", "x + 39"], ["x", "f + 2", "f + 41"], ["f", "u + 6", "u + 47"], ["u", "s + 17", "s + 64"], ["s", 16, "80"]], "target_var_name": "n", "target_value": 80, "value_dict": {"s": 16}, "is_reverse": true}} | 16,673 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = y + 16; v = x + 18; n = t + 13; u = s + 17; s = 16; f = u + 6; x = f + 2; a = z + 10; g = a + 5; y = s + 4; w = g + 19; t = v + 8; o = w + 5. If s = 16, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = v + 8 to n, which gives n = v + 21.\n2. Substitute v = x + 18 to n, which gives n = x + 39.\n3. Substitute x = f + 2 to n, which gives n = f + 41.\n4. Substitute f = u + 6 to n, which gives n = u + 47.\n5. Substitute u = s + 17 to n, which gives n = s + 64.\n6. Substitute s = 16 to n, which gives n = 80.\n\nThus, the final answer is n = \\boxed{80}.",
"index": 16673,
"question": "Consider a system of variables where each variable is defined as follows: z = y + 16; v = x + 18; n = t + 13; u = s + 17; s = 16; f = u + 6; x = f + 2; a = z + 10; g = a + 5; y = s + 4; w = g + 19; t = v + 8; o = w + 5. If s = 16, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"i": "o + 10", "v": "i + 9", "x": "v + 9", "b": "x + 5", "c": "b + 16", "u": "c + 2", "s": "o + 5", "l": "s + 2", "a": "l + 8", "p": "a + 7", "n": "p + 16", "h": "n + 5", "o": 13}, "premises": {"o": 13}, "target": "u"}, "answer": {"steps": [["c", "b + 16", "b + 18"], ["b", "x + 5", "x + 23"], ["x", "v + 9", "v + 32"], ["v", "i + 9", "i + 41"], ["i", "o + 10", "o + 51"], ["o", 13, "64"]], "target_var_name": "u", "target_value": 64, "value_dict": {"o": 13}, "is_reverse": true}} | 16,674 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = b + 16; a = l + 8; n = p + 16; i = o + 10; x = v + 9; h = n + 5; u = c + 2; p = a + 7; v = i + 9; s = o + 5; b = x + 5; l = s + 2; o = 13. If o = 13, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = b + 16 to u, which gives u = b + 18.\n2. Substitute b = x + 5 to u, which gives u = x + 23.\n3. Substitute x = v + 9 to u, which gives u = v + 32.\n4. Substitute v = i + 9 to u, which gives u = i + 41.\n5. Substitute i = o + 10 to u, which gives u = o + 51.\n6. Substitute o = 13 to u, which gives u = 64.\n\nThus, the final answer is u = \\boxed{64}.",
"index": 16674,
"question": "Consider a system of variables where each variable is defined as follows: c = b + 16; a = l + 8; n = p + 16; i = o + 10; x = v + 9; h = n + 5; u = c + 2; p = a + 7; v = i + 9; s = o + 5; b = x + 5; l = s + 2; o = 13. If o = 13, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"i": "y + 9", "g": "i + 11", "n": "g + 18", "p": "n + 16", "x": "p + 16", "h": "x + 12", "m": "y + 17", "j": "m + 20", "c": "j + 19", "r": "c + 1", "u": "r + 20", "f": "u + 9", "y": 18}, "premises": {"y": 18}, "target": "h"}, "answer": {"steps": [["x", "p + 16", "p + 28"], ["p", "n + 16", "n + 44"], ["n", "g + 18", "g + 62"], ["g", "i + 11", "i + 73"], ["i", "y + 9", "y + 82"], ["y", 18, "100"]], "target_var_name": "h", "target_value": 100, "value_dict": {"y": 18}, "is_reverse": true}} | 16,675 | 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 = u + 9; n = g + 18; r = c + 1; h = x + 12; p = n + 16; i = y + 9; y = 18; g = i + 11; u = r + 20; c = j + 19; m = y + 17; x = p + 16; j = m + 20. If y = 18, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = p + 16 to h, which gives h = p + 28.\n2. Substitute p = n + 16 to h, which gives h = n + 44.\n3. Substitute n = g + 18 to h, which gives h = g + 62.\n4. Substitute g = i + 11 to h, which gives h = i + 73.\n5. Substitute i = y + 9 to h, which gives h = y + 82.\n6. Substitute y = 18 to h, which gives h = 100.\n\nThus, the final answer is h = \\boxed{100}.",
"index": 16675,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = u + 9; n = g + 18; r = c + 1; h = x + 12; p = n + 16; i = y + 9; y = 18; g = i + 11; u = r + 20; c = j + 19; m = y + 17; x = p + 16; j = m + 20. If y = 18, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"p": "z + 12", "n": "p + 12", "q": "n + 19", "v": "q + 20", "d": "v + 11", "w": "d + 12", "l": "z + 6", "j": "l + 10", "r": "j + 11", "k": "r + 8", "e": "k + 9", "g": "e + 20", "z": 14}, "premises": {"z": 14}, "target": "w"}, "answer": {"steps": [["d", "v + 11", "v + 23"], ["v", "q + 20", "q + 43"], ["q", "n + 19", "n + 62"], ["n", "p + 12", "p + 74"], ["p", "z + 12", "z + 86"], ["z", 14, "100"]], "target_var_name": "w", "target_value": 100, "value_dict": {"z": 14}, "is_reverse": true}} | 16,676 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = n + 19; w = d + 12; e = k + 9; k = r + 8; d = v + 11; l = z + 6; v = q + 20; r = j + 11; g = e + 20; j = l + 10; n = p + 12; p = z + 12; z = 14. Given that z = 14, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = v + 11 to w, which gives w = v + 23.\n2. Substitute v = q + 20 to w, which gives w = q + 43.\n3. Substitute q = n + 19 to w, which gives w = n + 62.\n4. Substitute n = p + 12 to w, which gives w = p + 74.\n5. Substitute p = z + 12 to w, which gives w = z + 86.\n6. Substitute z = 14 to w, which gives w = 100.\n\nThus, the final answer is w = \\boxed{100}.",
"index": 16676,
"question": "Suppose a collection of variables is related by the following definitions: q = n + 19; w = d + 12; e = k + 9; k = r + 8; d = v + 11; l = z + 6; v = q + 20; r = j + 11; g = e + 20; j = l + 10; n = p + 12; p = z + 12; z = 14. Given that z = 14, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"i": "c + 12", "r": "i + 20", "y": "r + 15", "p": "y + 13", "m": "p + 1", "w": "m + 12", "k": "c + 4", "z": "k + 8", "f": "z + 8", "v": "f + 9", "s": "v + 18", "o": "s + 4", "c": 7}, "premises": {"c": 7}, "target": "w"}, "answer": {"steps": [["m", "p + 1", "p + 13"], ["p", "y + 13", "y + 26"], ["y", "r + 15", "r + 41"], ["r", "i + 20", "i + 61"], ["i", "c + 12", "c + 73"], ["c", 7, "80"]], "target_var_name": "w", "target_value": 80, "value_dict": {"c": 7}, "is_reverse": true}} | 16,677 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = v + 18; k = c + 4; o = s + 4; w = m + 12; m = p + 1; y = r + 15; z = k + 8; p = y + 13; c = 7; f = z + 8; v = f + 9; r = i + 20; i = c + 12. If c = 7, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = p + 1 to w, which gives w = p + 13.\n2. Substitute p = y + 13 to w, which gives w = y + 26.\n3. Substitute y = r + 15 to w, which gives w = r + 41.\n4. Substitute r = i + 20 to w, which gives w = i + 61.\n5. Substitute i = c + 12 to w, which gives w = c + 73.\n6. Substitute c = 7 to w, which gives w = 80.\n\nThus, the final answer is w = \\boxed{80}.",
"index": 16677,
"question": "Consider a system of variables where each variable is defined as follows: s = v + 18; k = c + 4; o = s + 4; w = m + 12; m = p + 1; y = r + 15; z = k + 8; p = y + 13; c = 7; f = z + 8; v = f + 9; r = i + 20; i = c + 12. If c = 7, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"u": "p + 18", "y": "u + 11", "v": "y + 17", "r": "v + 12", "k": "r + 16", "e": "k + 14", "b": "p + 6", "s": "b + 3", "a": "s + 7", "q": "a + 5", "w": "q + 13", "j": "w + 17", "p": 2}, "premises": {"p": 2}, "target": "e"}, "answer": {"steps": [["k", "r + 16", "r + 30"], ["r", "v + 12", "v + 42"], ["v", "y + 17", "y + 59"], ["y", "u + 11", "u + 70"], ["u", "p + 18", "p + 88"], ["p", 2, "90"]], "target_var_name": "e", "target_value": 90, "value_dict": {"p": 2}, "is_reverse": true}} | 16,678 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = p + 18; j = w + 17; r = v + 12; p = 2; y = u + 11; q = a + 5; v = y + 17; e = k + 14; b = p + 6; s = b + 3; a = s + 7; k = r + 16; w = q + 13. If p = 2, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = r + 16 to e, which gives e = r + 30.\n2. Substitute r = v + 12 to e, which gives e = v + 42.\n3. Substitute v = y + 17 to e, which gives e = y + 59.\n4. Substitute y = u + 11 to e, which gives e = u + 70.\n5. Substitute u = p + 18 to e, which gives e = p + 88.\n6. Substitute p = 2 to e, which gives e = 90.\n\nThus, the final answer is e = \\boxed{90}.",
"index": 16678,
"question": "Consider a system of variables where each variable is defined as follows: u = p + 18; j = w + 17; r = v + 12; p = 2; y = u + 11; q = a + 5; v = y + 17; e = k + 14; b = p + 6; s = b + 3; a = s + 7; k = r + 16; w = q + 13. If p = 2, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"p": "w + 4", "x": "p + 9", "v": "x + 9", "j": "v + 12", "h": "j + 11", "d": "h + 20", "e": "w + 14", "y": "e + 9", "f": "y + 12", "b": "f + 5", "t": "b + 7", "s": "t + 11", "w": 15}, "premises": {"w": 15}, "target": "d"}, "answer": {"steps": [["h", "j + 11", "j + 31"], ["j", "v + 12", "v + 43"], ["v", "x + 9", "x + 52"], ["x", "p + 9", "p + 61"], ["p", "w + 4", "w + 65"], ["w", 15, "80"]], "target_var_name": "d", "target_value": 80, "value_dict": {"w": 15}, "is_reverse": true}} | 16,679 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = v + 12; p = w + 4; f = y + 12; w = 15; e = w + 14; t = b + 7; h = j + 11; v = x + 9; y = e + 9; s = t + 11; x = p + 9; b = f + 5; d = h + 20. If w = 15, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = j + 11 to d, which gives d = j + 31.\n2. Substitute j = v + 12 to d, which gives d = v + 43.\n3. Substitute v = x + 9 to d, which gives d = x + 52.\n4. Substitute x = p + 9 to d, which gives d = p + 61.\n5. Substitute p = w + 4 to d, which gives d = w + 65.\n6. Substitute w = 15 to d, which gives d = 80.\n\nThus, the final answer is d = \\boxed{80}.",
"index": 16679,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = v + 12; p = w + 4; f = y + 12; w = 15; e = w + 14; t = b + 7; h = j + 11; v = x + 9; y = e + 9; s = t + 11; x = p + 9; b = f + 5; d = h + 20. If w = 15, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"d": "a + 12", "i": "d + 16", "g": "i + 2", "q": "g + 3", "b": "q + 9", "x": "b + 9", "j": "a + 6", "z": "j + 4", "p": "z + 20", "s": "p + 10", "e": "s + 18", "h": "e + 19", "a": 19}, "premises": {"a": 19}, "target": "x"}, "answer": {"steps": [["b", "q + 9", "q + 18"], ["q", "g + 3", "g + 21"], ["g", "i + 2", "i + 23"], ["i", "d + 16", "d + 39"], ["d", "a + 12", "a + 51"], ["a", 19, "70"]], "target_var_name": "x", "target_value": 70, "value_dict": {"a": 19}, "is_reverse": true}} | 16,680 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = 19; s = p + 10; g = i + 2; z = j + 4; h = e + 19; j = a + 6; b = q + 9; d = a + 12; p = z + 20; i = d + 16; q = g + 3; e = s + 18; x = b + 9. Given that a = 19, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = q + 9 to x, which gives x = q + 18.\n2. Substitute q = g + 3 to x, which gives x = g + 21.\n3. Substitute g = i + 2 to x, which gives x = i + 23.\n4. Substitute i = d + 16 to x, which gives x = d + 39.\n5. Substitute d = a + 12 to x, which gives x = a + 51.\n6. Substitute a = 19 to x, which gives x = 70.\n\nThus, the final answer is x = \\boxed{70}.",
"index": 16680,
"question": "Suppose a collection of variables is related by the following definitions: a = 19; s = p + 10; g = i + 2; z = j + 4; h = e + 19; j = a + 6; b = q + 9; d = a + 12; p = z + 20; i = d + 16; q = g + 3; e = s + 18; x = b + 9. Given that a = 19, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"f": "q + 17", "w": "f + 3", "t": "w + 17", "e": "t + 8", "m": "e + 20", "n": "m + 7", "v": "q + 3", "s": "v + 13", "k": "s + 17", "l": "k + 17", "p": "l + 11", "j": "p + 2", "q": 7}, "premises": {"q": 7}, "target": "n"}, "answer": {"steps": [["m", "e + 20", "e + 27"], ["e", "t + 8", "t + 35"], ["t", "w + 17", "w + 52"], ["w", "f + 3", "f + 55"], ["f", "q + 17", "q + 72"], ["q", 7, "79"]], "target_var_name": "n", "target_value": 79, "value_dict": {"q": 7}, "is_reverse": true}} | 16,681 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = p + 2; l = k + 17; w = f + 3; f = q + 17; s = v + 13; p = l + 11; e = t + 8; m = e + 20; v = q + 3; t = w + 17; k = s + 17; q = 7; n = m + 7. If q = 7, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = e + 20 to n, which gives n = e + 27.\n2. Substitute e = t + 8 to n, which gives n = t + 35.\n3. Substitute t = w + 17 to n, which gives n = w + 52.\n4. Substitute w = f + 3 to n, which gives n = f + 55.\n5. Substitute f = q + 17 to n, which gives n = q + 72.\n6. Substitute q = 7 to n, which gives n = 79.\n\nThus, the final answer is n = \\boxed{79}.",
"index": 16681,
"question": "Consider a system of variables where each variable is defined as follows: j = p + 2; l = k + 17; w = f + 3; f = q + 17; s = v + 13; p = l + 11; e = t + 8; m = e + 20; v = q + 3; t = w + 17; k = s + 17; q = 7; n = m + 7. If q = 7, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"e": "b + 9", "i": "e + 9", "l": "i + 12", "y": "l + 7", "w": "y + 1", "t": "w + 4", "x": "b + 14", "c": "x + 9", "m": "c + 15", "k": "m + 14", "g": "k + 11", "a": "g + 14", "b": 1}, "premises": {"b": 1}, "target": "t"}, "answer": {"steps": [["w", "y + 1", "y + 5"], ["y", "l + 7", "l + 12"], ["l", "i + 12", "i + 24"], ["i", "e + 9", "e + 33"], ["e", "b + 9", "b + 42"], ["b", 1, "43"]], "target_var_name": "t", "target_value": 43, "value_dict": {"b": 1}, "is_reverse": true}} | 16,682 | 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 = b + 9; l = i + 12; y = l + 7; t = w + 4; a = g + 14; m = c + 15; g = k + 11; x = b + 14; i = e + 9; b = 1; c = x + 9; k = m + 14; w = y + 1. If b = 1, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = y + 1 to t, which gives t = y + 5.\n2. Substitute y = l + 7 to t, which gives t = l + 12.\n3. Substitute l = i + 12 to t, which gives t = i + 24.\n4. Substitute i = e + 9 to t, which gives t = e + 33.\n5. Substitute e = b + 9 to t, which gives t = b + 42.\n6. Substitute b = 1 to t, which gives t = 43.\n\nThus, the final answer is t = \\boxed{43}.",
"index": 16682,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = b + 9; l = i + 12; y = l + 7; t = w + 4; a = g + 14; m = c + 15; g = k + 11; x = b + 14; i = e + 9; b = 1; c = x + 9; k = m + 14; w = y + 1. If b = 1, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"f": "l + 13", "w": "f + 11", "t": "w + 13", "h": "t + 15", "j": "h + 6", "i": "j + 6", "m": "l + 13", "u": "m + 5", "c": "u + 7", "q": "c + 12", "s": "q + 8", "b": "s + 12", "l": 20}, "premises": {"l": 20}, "target": "i"}, "answer": {"steps": [["j", "h + 6", "h + 12"], ["h", "t + 15", "t + 27"], ["t", "w + 13", "w + 40"], ["w", "f + 11", "f + 51"], ["f", "l + 13", "l + 64"], ["l", 20, "84"]], "target_var_name": "i", "target_value": 84, "value_dict": {"l": 20}, "is_reverse": true}} | 16,683 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = q + 8; u = m + 5; c = u + 7; j = h + 6; t = w + 13; f = l + 13; b = s + 12; m = l + 13; h = t + 15; l = 20; q = c + 12; i = j + 6; w = f + 11. If l = 20, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = h + 6 to i, which gives i = h + 12.\n2. Substitute h = t + 15 to i, which gives i = t + 27.\n3. Substitute t = w + 13 to i, which gives i = w + 40.\n4. Substitute w = f + 11 to i, which gives i = f + 51.\n5. Substitute f = l + 13 to i, which gives i = l + 64.\n6. Substitute l = 20 to i, which gives i = 84.\n\nThus, the final answer is i = \\boxed{84}.",
"index": 16683,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = q + 8; u = m + 5; c = u + 7; j = h + 6; t = w + 13; f = l + 13; b = s + 12; m = l + 13; h = t + 15; l = 20; q = c + 12; i = j + 6; w = f + 11. If l = 20, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"n": "w + 7", "k": "n + 4", "r": "k + 1", "d": "r + 5", "p": "d + 2", "q": "p + 6", "e": "w + 2", "x": "e + 18", "a": "x + 9", "v": "a + 4", "y": "v + 7", "o": "y + 6", "w": 9}, "premises": {"w": 9}, "target": "q"}, "answer": {"steps": [["p", "d + 2", "d + 8"], ["d", "r + 5", "r + 13"], ["r", "k + 1", "k + 14"], ["k", "n + 4", "n + 18"], ["n", "w + 7", "w + 25"], ["w", 9, "34"]], "target_var_name": "q", "target_value": 34, "value_dict": {"w": 9}, "is_reverse": true}} | 16,684 | 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 = k + 1; o = y + 6; p = d + 2; e = w + 2; v = a + 4; n = w + 7; x = e + 18; q = p + 6; w = 9; a = x + 9; k = n + 4; d = r + 5; y = v + 7. If w = 9, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 34,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = d + 2 to q, which gives q = d + 8.\n2. Substitute d = r + 5 to q, which gives q = r + 13.\n3. Substitute r = k + 1 to q, which gives q = k + 14.\n4. Substitute k = n + 4 to q, which gives q = n + 18.\n5. Substitute n = w + 7 to q, which gives q = w + 25.\n6. Substitute w = 9 to q, which gives q = 34.\n\nThus, the final answer is q = \\boxed{34}.",
"index": 16684,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = k + 1; o = y + 6; p = d + 2; e = w + 2; v = a + 4; n = w + 7; x = e + 18; q = p + 6; w = 9; a = x + 9; k = n + 4; d = r + 5; y = v + 7. If w = 9, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"k": "g + 9", "f": "k + 15", "q": "f + 8", "u": "q + 19", "d": "u + 14", "i": "d + 20", "b": "g + 4", "v": "b + 18", "s": "v + 15", "e": "s + 13", "p": "e + 9", "w": "p + 6", "g": 12}, "premises": {"g": 12}, "target": "i"}, "answer": {"steps": [["d", "u + 14", "u + 34"], ["u", "q + 19", "q + 53"], ["q", "f + 8", "f + 61"], ["f", "k + 15", "k + 76"], ["k", "g + 9", "g + 85"], ["g", 12, "97"]], "target_var_name": "i", "target_value": 97, "value_dict": {"g": 12}, "is_reverse": true}} | 16,685 | 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 = s + 13; s = v + 15; d = u + 14; g = 12; v = b + 18; b = g + 4; w = p + 6; p = e + 9; u = q + 19; i = d + 20; q = f + 8; k = g + 9; f = k + 15. If g = 12, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = u + 14 to i, which gives i = u + 34.\n2. Substitute u = q + 19 to i, which gives i = q + 53.\n3. Substitute q = f + 8 to i, which gives i = f + 61.\n4. Substitute f = k + 15 to i, which gives i = k + 76.\n5. Substitute k = g + 9 to i, which gives i = g + 85.\n6. Substitute g = 12 to i, which gives i = 97.\n\nThus, the final answer is i = \\boxed{97}.",
"index": 16685,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = s + 13; s = v + 15; d = u + 14; g = 12; v = b + 18; b = g + 4; w = p + 6; p = e + 9; u = q + 19; i = d + 20; q = f + 8; k = g + 9; f = k + 15. If g = 12, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"e": "y + 6", "u": "e + 20", "h": "u + 16", "g": "h + 13", "d": "g + 1", "z": "d + 3", "k": "y + 3", "b": "k + 10", "i": "b + 11", "v": "i + 8", "m": "v + 16", "p": "m + 9", "y": 16}, "premises": {"y": 16}, "target": "z"}, "answer": {"steps": [["d", "g + 1", "g + 4"], ["g", "h + 13", "h + 17"], ["h", "u + 16", "u + 33"], ["u", "e + 20", "e + 53"], ["e", "y + 6", "y + 59"], ["y", 16, "75"]], "target_var_name": "z", "target_value": 75, "value_dict": {"y": 16}, "is_reverse": true}} | 16,686 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = i + 8; y = 16; h = u + 16; m = v + 16; k = y + 3; u = e + 20; p = m + 9; b = k + 10; z = d + 3; g = h + 13; d = g + 1; e = y + 6; i = b + 11. If y = 16, 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 d = g + 1 to z, which gives z = g + 4.\n2. Substitute g = h + 13 to z, which gives z = h + 17.\n3. Substitute h = u + 16 to z, which gives z = u + 33.\n4. Substitute u = e + 20 to z, which gives z = e + 53.\n5. Substitute e = y + 6 to z, which gives z = y + 59.\n6. Substitute y = 16 to z, which gives z = 75.\n\nThus, the final answer is z = \\boxed{75}.",
"index": 16686,
"question": "Consider a system of variables where each variable is defined as follows: v = i + 8; y = 16; h = u + 16; m = v + 16; k = y + 3; u = e + 20; p = m + 9; b = k + 10; z = d + 3; g = h + 13; d = g + 1; e = y + 6; i = b + 11. If y = 16, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"j": "w + 5", "q": "j + 18", "i": "q + 5", "v": "i + 2", "k": "v + 6", "l": "k + 4", "z": "w + 3", "y": "z + 14", "f": "y + 3", "r": "f + 1", "c": "r + 13", "e": "c + 10", "w": 14}, "premises": {"w": 14}, "target": "l"}, "answer": {"steps": [["k", "v + 6", "v + 10"], ["v", "i + 2", "i + 12"], ["i", "q + 5", "q + 17"], ["q", "j + 18", "j + 35"], ["j", "w + 5", "w + 40"], ["w", 14, "54"]], "target_var_name": "l", "target_value": 54, "value_dict": {"w": 14}, "is_reverse": true}} | 16,687 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = w + 3; y = z + 14; l = k + 4; e = c + 10; r = f + 1; j = w + 5; c = r + 13; k = v + 6; q = j + 18; w = 14; i = q + 5; f = y + 3; v = i + 2. If w = 14, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = v + 6 to l, which gives l = v + 10.\n2. Substitute v = i + 2 to l, which gives l = i + 12.\n3. Substitute i = q + 5 to l, which gives l = q + 17.\n4. Substitute q = j + 18 to l, which gives l = j + 35.\n5. Substitute j = w + 5 to l, which gives l = w + 40.\n6. Substitute w = 14 to l, which gives l = 54.\n\nThus, the final answer is l = \\boxed{54}.",
"index": 16687,
"question": "Consider a system of variables where each variable is defined as follows: z = w + 3; y = z + 14; l = k + 4; e = c + 10; r = f + 1; j = w + 5; c = r + 13; k = v + 6; q = j + 18; w = 14; i = q + 5; f = y + 3; v = i + 2. If w = 14, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"a": "v + 4", "n": "a + 11", "k": "n + 2", "s": "k + 4", "b": "s + 4", "j": "b + 1", "r": "v + 13", "o": "r + 5", "m": "o + 3", "y": "m + 3", "t": "y + 15", "u": "t + 1", "v": 2}, "premises": {"v": 2}, "target": "j"}, "answer": {"steps": [["b", "s + 4", "s + 5"], ["s", "k + 4", "k + 9"], ["k", "n + 2", "n + 11"], ["n", "a + 11", "a + 22"], ["a", "v + 4", "v + 26"], ["v", 2, "28"]], "target_var_name": "j", "target_value": 28, "value_dict": {"v": 2}, "is_reverse": true}} | 16,688 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = t + 1; s = k + 4; y = m + 3; a = v + 4; o = r + 5; k = n + 2; n = a + 11; r = v + 13; v = 2; m = o + 3; j = b + 1; b = s + 4; t = y + 15. If v = 2, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 28,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = s + 4 to j, which gives j = s + 5.\n2. Substitute s = k + 4 to j, which gives j = k + 9.\n3. Substitute k = n + 2 to j, which gives j = n + 11.\n4. Substitute n = a + 11 to j, which gives j = a + 22.\n5. Substitute a = v + 4 to j, which gives j = v + 26.\n6. Substitute v = 2 to j, which gives j = 28.\n\nThus, the final answer is j = \\boxed{28}.",
"index": 16688,
"question": "Consider a system of variables where each variable is defined as follows: u = t + 1; s = k + 4; y = m + 3; a = v + 4; o = r + 5; k = n + 2; n = a + 11; r = v + 13; v = 2; m = o + 3; j = b + 1; b = s + 4; t = y + 15. If v = 2, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"c": "z + 3", "l": "c + 7", "u": "l + 7", "y": "u + 18", "v": "y + 7", "h": "v + 3", "e": "z + 2", "t": "e + 6", "f": "t + 6", "m": "f + 6", "k": "m + 5", "i": "k + 17", "z": 11}, "premises": {"z": 11}, "target": "h"}, "answer": {"steps": [["v", "y + 7", "y + 10"], ["y", "u + 18", "u + 28"], ["u", "l + 7", "l + 35"], ["l", "c + 7", "c + 42"], ["c", "z + 3", "z + 45"], ["z", 11, "56"]], "target_var_name": "h", "target_value": 56, "value_dict": {"z": 11}, "is_reverse": true}} | 16,689 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = t + 6; e = z + 2; c = z + 3; z = 11; u = l + 7; y = u + 18; m = f + 6; l = c + 7; h = v + 3; v = y + 7; t = e + 6; k = m + 5; i = k + 17. If z = 11, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = y + 7 to h, which gives h = y + 10.\n2. Substitute y = u + 18 to h, which gives h = u + 28.\n3. Substitute u = l + 7 to h, which gives h = l + 35.\n4. Substitute l = c + 7 to h, which gives h = c + 42.\n5. Substitute c = z + 3 to h, which gives h = z + 45.\n6. Substitute z = 11 to h, which gives h = 56.\n\nThus, the final answer is h = \\boxed{56}.",
"index": 16689,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = t + 6; e = z + 2; c = z + 3; z = 11; u = l + 7; y = u + 18; m = f + 6; l = c + 7; h = v + 3; v = y + 7; t = e + 6; k = m + 5; i = k + 17. If z = 11, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"w": "d + 6", "y": "w + 6", "f": "y + 11", "b": "f + 5", "s": "b + 15", "h": "s + 4", "k": "d + 20", "i": "k + 17", "t": "i + 16", "e": "t + 11", "n": "e + 12", "q": "n + 11", "d": 12}, "premises": {"d": 12}, "target": "h"}, "answer": {"steps": [["s", "b + 15", "b + 19"], ["b", "f + 5", "f + 24"], ["f", "y + 11", "y + 35"], ["y", "w + 6", "w + 41"], ["w", "d + 6", "d + 47"], ["d", 12, "59"]], "target_var_name": "h", "target_value": 59, "value_dict": {"d": 12}, "is_reverse": true}} | 16,690 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = t + 11; b = f + 5; q = n + 11; w = d + 6; s = b + 15; k = d + 20; t = i + 16; h = s + 4; f = y + 11; y = w + 6; d = 12; i = k + 17; n = e + 12. If d = 12, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = b + 15 to h, which gives h = b + 19.\n2. Substitute b = f + 5 to h, which gives h = f + 24.\n3. Substitute f = y + 11 to h, which gives h = y + 35.\n4. Substitute y = w + 6 to h, which gives h = w + 41.\n5. Substitute w = d + 6 to h, which gives h = d + 47.\n6. Substitute d = 12 to h, which gives h = 59.\n\nThus, the final answer is h = \\boxed{59}.",
"index": 16690,
"question": "Consider a system of variables where each variable is defined as follows: e = t + 11; b = f + 5; q = n + 11; w = d + 6; s = b + 15; k = d + 20; t = i + 16; h = s + 4; f = y + 11; y = w + 6; d = 12; i = k + 17; n = e + 12. If d = 12, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"u": "e + 5", "y": "u + 18", "h": "y + 13", "m": "h + 15", "b": "m + 14", "f": "b + 7", "n": "e + 3", "j": "n + 8", "s": "j + 12", "d": "s + 3", "w": "d + 17", "o": "w + 6", "e": 17}, "premises": {"e": 17}, "target": "f"}, "answer": {"steps": [["b", "m + 14", "m + 21"], ["m", "h + 15", "h + 36"], ["h", "y + 13", "y + 49"], ["y", "u + 18", "u + 67"], ["u", "e + 5", "e + 72"], ["e", 17, "89"]], "target_var_name": "f", "target_value": 89, "value_dict": {"e": 17}, "is_reverse": true}} | 16,691 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = e + 5; o = w + 6; y = u + 18; b = m + 14; f = b + 7; e = 17; h = y + 13; w = d + 17; n = e + 3; d = s + 3; m = h + 15; j = n + 8; s = j + 12. Given that e = 17, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = m + 14 to f, which gives f = m + 21.\n2. Substitute m = h + 15 to f, which gives f = h + 36.\n3. Substitute h = y + 13 to f, which gives f = y + 49.\n4. Substitute y = u + 18 to f, which gives f = u + 67.\n5. Substitute u = e + 5 to f, which gives f = e + 72.\n6. Substitute e = 17 to f, which gives f = 89.\n\nThus, the final answer is f = \\boxed{89}.",
"index": 16691,
"question": "Suppose a collection of variables is related by the following definitions: u = e + 5; o = w + 6; y = u + 18; b = m + 14; f = b + 7; e = 17; h = y + 13; w = d + 17; n = e + 3; d = s + 3; m = h + 15; j = n + 8; s = j + 12. Given that e = 17, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"l": "w + 3", "v": "l + 18", "m": "v + 8", "n": "m + 18", "k": "n + 20", "e": "k + 5", "j": "w + 18", "x": "j + 3", "s": "x + 12", "c": "s + 14", "g": "c + 4", "o": "g + 19", "w": 11}, "premises": {"w": 11}, "target": "e"}, "answer": {"steps": [["k", "n + 20", "n + 25"], ["n", "m + 18", "m + 43"], ["m", "v + 8", "v + 51"], ["v", "l + 18", "l + 69"], ["l", "w + 3", "w + 72"], ["w", 11, "83"]], "target_var_name": "e", "target_value": 83, "value_dict": {"w": 11}, "is_reverse": true}} | 16,692 | 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 = l + 18; l = w + 3; g = c + 4; x = j + 3; k = n + 20; o = g + 19; c = s + 14; w = 11; j = w + 18; e = k + 5; n = m + 18; m = v + 8; s = x + 12. If w = 11, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = n + 20 to e, which gives e = n + 25.\n2. Substitute n = m + 18 to e, which gives e = m + 43.\n3. Substitute m = v + 8 to e, which gives e = v + 51.\n4. Substitute v = l + 18 to e, which gives e = l + 69.\n5. Substitute l = w + 3 to e, which gives e = w + 72.\n6. Substitute w = 11 to e, which gives e = 83.\n\nThus, the final answer is e = \\boxed{83}.",
"index": 16692,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = l + 18; l = w + 3; g = c + 4; x = j + 3; k = n + 20; o = g + 19; c = s + 14; w = 11; j = w + 18; e = k + 5; n = m + 18; m = v + 8; s = x + 12. If w = 11, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"m": "t + 2", "d": "m + 17", "i": "d + 5", "w": "i + 2", "r": "w + 19", "x": "r + 6", "y": "t + 14", "h": "y + 16", "s": "h + 15", "g": "s + 15", "a": "g + 20", "c": "a + 16", "t": 18}, "premises": {"t": 18}, "target": "x"}, "answer": {"steps": [["r", "w + 19", "w + 25"], ["w", "i + 2", "i + 27"], ["i", "d + 5", "d + 32"], ["d", "m + 17", "m + 49"], ["m", "t + 2", "t + 51"], ["t", 18, "69"]], "target_var_name": "x", "target_value": 69, "value_dict": {"t": 18}, "is_reverse": true}} | 16,693 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = t + 14; r = w + 19; i = d + 5; w = i + 2; a = g + 20; g = s + 15; d = m + 17; m = t + 2; t = 18; c = a + 16; s = h + 15; h = y + 16; x = r + 6. If t = 18, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = w + 19 to x, which gives x = w + 25.\n2. Substitute w = i + 2 to x, which gives x = i + 27.\n3. Substitute i = d + 5 to x, which gives x = d + 32.\n4. Substitute d = m + 17 to x, which gives x = m + 49.\n5. Substitute m = t + 2 to x, which gives x = t + 51.\n6. Substitute t = 18 to x, which gives x = 69.\n\nThus, the final answer is x = \\boxed{69}.",
"index": 16693,
"question": "Consider a system of variables where each variable is defined as follows: y = t + 14; r = w + 19; i = d + 5; w = i + 2; a = g + 20; g = s + 15; d = m + 17; m = t + 2; t = 18; c = a + 16; s = h + 15; h = y + 16; x = r + 6. If t = 18, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"s": "b + 10", "t": "s + 6", "g": "t + 2", "a": "g + 15", "o": "a + 15", "z": "o + 3", "l": "b + 1", "e": "l + 10", "i": "e + 8", "v": "i + 15", "p": "v + 5", "n": "p + 20", "b": 11}, "premises": {"b": 11}, "target": "z"}, "answer": {"steps": [["o", "a + 15", "a + 18"], ["a", "g + 15", "g + 33"], ["g", "t + 2", "t + 35"], ["t", "s + 6", "s + 41"], ["s", "b + 10", "b + 51"], ["b", 11, "62"]], "target_var_name": "z", "target_value": 62, "value_dict": {"b": 11}, "is_reverse": true}} | 16,694 | 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 = b + 1; v = i + 15; t = s + 6; a = g + 15; e = l + 10; s = b + 10; o = a + 15; n = p + 20; i = e + 8; b = 11; p = v + 5; g = t + 2; z = o + 3. If b = 11, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = a + 15 to z, which gives z = a + 18.\n2. Substitute a = g + 15 to z, which gives z = g + 33.\n3. Substitute g = t + 2 to z, which gives z = t + 35.\n4. Substitute t = s + 6 to z, which gives z = s + 41.\n5. Substitute s = b + 10 to z, which gives z = b + 51.\n6. Substitute b = 11 to z, which gives z = 62.\n\nThus, the final answer is z = \\boxed{62}.",
"index": 16694,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = b + 1; v = i + 15; t = s + 6; a = g + 15; e = l + 10; s = b + 10; o = a + 15; n = p + 20; i = e + 8; b = 11; p = v + 5; g = t + 2; z = o + 3. If b = 11, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"w": "n + 12", "e": "w + 19", "q": "e + 3", "r": "q + 17", "z": "r + 4", "f": "z + 9", "s": "n + 8", "v": "s + 12", "y": "v + 16", "d": "y + 10", "m": "d + 7", "u": "m + 13", "n": 13}, "premises": {"n": 13}, "target": "f"}, "answer": {"steps": [["z", "r + 4", "r + 13"], ["r", "q + 17", "q + 30"], ["q", "e + 3", "e + 33"], ["e", "w + 19", "w + 52"], ["w", "n + 12", "n + 64"], ["n", 13, "77"]], "target_var_name": "f", "target_value": 77, "value_dict": {"n": 13}, "is_reverse": true}} | 16,695 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = m + 13; v = s + 12; d = y + 10; f = z + 9; n = 13; q = e + 3; m = d + 7; e = w + 19; s = n + 8; w = n + 12; z = r + 4; y = v + 16; r = q + 17. Given that n = 13, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = r + 4 to f, which gives f = r + 13.\n2. Substitute r = q + 17 to f, which gives f = q + 30.\n3. Substitute q = e + 3 to f, which gives f = e + 33.\n4. Substitute e = w + 19 to f, which gives f = w + 52.\n5. Substitute w = n + 12 to f, which gives f = n + 64.\n6. Substitute n = 13 to f, which gives f = 77.\n\nThus, the final answer is f = \\boxed{77}.",
"index": 16695,
"question": "Suppose a collection of variables is related by the following definitions: u = m + 13; v = s + 12; d = y + 10; f = z + 9; n = 13; q = e + 3; m = d + 7; e = w + 19; s = n + 8; w = n + 12; z = r + 4; y = v + 16; r = q + 17. Given that n = 13, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"o": "m + 8", "c": "o + 7", "b": "c + 1", "v": "b + 5", "f": "v + 13", "h": "f + 15", "w": "m + 1", "i": "w + 9", "p": "i + 10", "z": "p + 17", "n": "z + 8", "t": "n + 4", "m": 12}, "premises": {"m": 12}, "target": "h"}, "answer": {"steps": [["f", "v + 13", "v + 28"], ["v", "b + 5", "b + 33"], ["b", "c + 1", "c + 34"], ["c", "o + 7", "o + 41"], ["o", "m + 8", "m + 49"], ["m", 12, "61"]], "target_var_name": "h", "target_value": 61, "value_dict": {"m": 12}, "is_reverse": true}} | 16,696 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = f + 15; o = m + 8; w = m + 1; c = o + 7; z = p + 17; n = z + 8; v = b + 5; p = i + 10; i = w + 9; b = c + 1; f = v + 13; t = n + 4; m = 12. If m = 12, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = v + 13 to h, which gives h = v + 28.\n2. Substitute v = b + 5 to h, which gives h = b + 33.\n3. Substitute b = c + 1 to h, which gives h = c + 34.\n4. Substitute c = o + 7 to h, which gives h = o + 41.\n5. Substitute o = m + 8 to h, which gives h = m + 49.\n6. Substitute m = 12 to h, which gives h = 61.\n\nThus, the final answer is h = \\boxed{61}.",
"index": 16696,
"question": "Consider a system of variables where each variable is defined as follows: h = f + 15; o = m + 8; w = m + 1; c = o + 7; z = p + 17; n = z + 8; v = b + 5; p = i + 10; i = w + 9; b = c + 1; f = v + 13; t = n + 4; m = 12. If m = 12, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"n": "c + 1", "i": "n + 1", "v": "i + 14", "y": "v + 2", "m": "y + 1", "h": "m + 5", "f": "c + 10", "p": "f + 1", "l": "p + 1", "q": "l + 6", "k": "q + 19", "e": "k + 14", "c": 13}, "premises": {"c": 13}, "target": "h"}, "answer": {"steps": [["m", "y + 1", "y + 6"], ["y", "v + 2", "v + 8"], ["v", "i + 14", "i + 22"], ["i", "n + 1", "n + 23"], ["n", "c + 1", "c + 24"], ["c", 13, "37"]], "target_var_name": "h", "target_value": 37, "value_dict": {"c": 13}, "is_reverse": true}} | 16,697 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = y + 1; h = m + 5; l = p + 1; e = k + 14; v = i + 14; p = f + 1; k = q + 19; i = n + 1; c = 13; q = l + 6; f = c + 10; n = c + 1; y = v + 2. Given that c = 13, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 37,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = y + 1 to h, which gives h = y + 6.\n2. Substitute y = v + 2 to h, which gives h = v + 8.\n3. Substitute v = i + 14 to h, which gives h = i + 22.\n4. Substitute i = n + 1 to h, which gives h = n + 23.\n5. Substitute n = c + 1 to h, which gives h = c + 24.\n6. Substitute c = 13 to h, which gives h = 37.\n\nThus, the final answer is h = \\boxed{37}.",
"index": 16697,
"question": "Suppose a collection of variables is related by the following definitions: m = y + 1; h = m + 5; l = p + 1; e = k + 14; v = i + 14; p = f + 1; k = q + 19; i = n + 1; c = 13; q = l + 6; f = c + 10; n = c + 1; y = v + 2. Given that c = 13, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"r": "t + 13", "b": "r + 9", "p": "b + 17", "f": "p + 4", "l": "f + 20", "e": "l + 19", "m": "t + 5", "y": "m + 9", "d": "y + 15", "g": "d + 9", "n": "g + 15", "c": "n + 10", "t": 20}, "premises": {"t": 20}, "target": "e"}, "answer": {"steps": [["l", "f + 20", "f + 39"], ["f", "p + 4", "p + 43"], ["p", "b + 17", "b + 60"], ["b", "r + 9", "r + 69"], ["r", "t + 13", "t + 82"], ["t", 20, "102"]], "target_var_name": "e", "target_value": 102, "value_dict": {"t": 20}, "is_reverse": true}} | 16,698 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = n + 10; l = f + 20; f = p + 4; r = t + 13; d = y + 15; t = 20; y = m + 9; n = g + 15; g = d + 9; b = r + 9; p = b + 17; m = t + 5; e = l + 19. Given that t = 20, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 102,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = f + 20 to e, which gives e = f + 39.\n2. Substitute f = p + 4 to e, which gives e = p + 43.\n3. Substitute p = b + 17 to e, which gives e = b + 60.\n4. Substitute b = r + 9 to e, which gives e = r + 69.\n5. Substitute r = t + 13 to e, which gives e = t + 82.\n6. Substitute t = 20 to e, which gives e = 102.\n\nThus, the final answer is e = \\boxed{102}.",
"index": 16698,
"question": "Suppose a collection of variables is related by the following definitions: c = n + 10; l = f + 20; f = p + 4; r = t + 13; d = y + 15; t = 20; y = m + 9; n = g + 15; g = d + 9; b = r + 9; p = b + 17; m = t + 5; e = l + 19. Given that t = 20, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"o": "k + 3", "u": "o + 6", "z": "u + 1", "c": "z + 6", "h": "c + 12", "y": "h + 18", "l": "k + 6", "m": "l + 18", "t": "m + 10", "j": "t + 19", "a": "j + 4", "b": "a + 8", "k": 8}, "premises": {"k": 8}, "target": "y"}, "answer": {"steps": [["h", "c + 12", "c + 30"], ["c", "z + 6", "z + 36"], ["z", "u + 1", "u + 37"], ["u", "o + 6", "o + 43"], ["o", "k + 3", "k + 46"], ["k", 8, "54"]], "target_var_name": "y", "target_value": 54, "value_dict": {"k": 8}, "is_reverse": true}} | 16,699 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = j + 4; k = 8; y = h + 18; o = k + 3; z = u + 1; c = z + 6; t = m + 10; u = o + 6; h = c + 12; l = k + 6; j = t + 19; b = a + 8; m = l + 18. If k = 8, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = c + 12 to y, which gives y = c + 30.\n2. Substitute c = z + 6 to y, which gives y = z + 36.\n3. Substitute z = u + 1 to y, which gives y = u + 37.\n4. Substitute u = o + 6 to y, which gives y = o + 43.\n5. Substitute o = k + 3 to y, which gives y = k + 46.\n6. Substitute k = 8 to y, which gives y = 54.\n\nThus, the final answer is y = \\boxed{54}.",
"index": 16699,
"question": "Consider a system of variables where each variable is defined as follows: a = j + 4; k = 8; y = h + 18; o = k + 3; z = u + 1; c = z + 6; t = m + 10; u = o + 6; h = c + 12; l = k + 6; j = t + 19; b = a + 8; m = l + 18. If k = 8, determine the value of y.",
"split": "train"
} |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.