meta stringlengths 493 517 | id int64 0 25.6k | problem_solution_idx int64 0 0 | world_id stringclasses 1 value | data_source stringclasses 1 value | prompt listlengths 1 1 | ability stringclasses 1 value | reward_model dict | extra_info dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"p": "y + 12", "e": "p + 4", "t": "e + 11", "a": "t + 15", "s": "a + 6", "o": "s + 1", "w": "y + 4", "r": "w + 20", "j": "r + 19", "c": "j + 7", "k": "c + 4", "q": "k + 2", "y": 7}, "premises": {"y": 7}, "target": "o"}, "answer": {"steps": [["s", "a + 6", "a + 7"], ["a", "t + 15", "t + 22"], ["t", "e + 11", "e + 33"], ["e", "p + 4", "p + 37"], ["p", "y + 12", "y + 49"], ["y", 7, "56"]], "target_var_name": "o", "target_value": 56, "value_dict": {"y": 7}, "is_reverse": true}} | 18,300 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = p + 4; p = y + 12; j = r + 19; o = s + 1; c = j + 7; t = e + 11; a = t + 15; k = c + 4; s = a + 6; y = 7; r = w + 20; w = y + 4; q = k + 2. Given that y = 7, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = a + 6 to o, which gives o = a + 7.\n2. Substitute a = t + 15 to o, which gives o = t + 22.\n3. Substitute t = e + 11 to o, which gives o = e + 33.\n4. Substitute e = p + 4 to o, which gives o = p + 37.\n5. Substitute p = y + 12 to o, which gives o = y + 49.\n6. Substitute y = 7 to o, which gives o = 56.\n\nThus, the final answer is o = \\boxed{56}.",
"index": 18300,
"question": "Suppose a collection of variables is related by the following definitions: e = p + 4; p = y + 12; j = r + 19; o = s + 1; c = j + 7; t = e + 11; a = t + 15; k = c + 4; s = a + 6; y = 7; r = w + 20; w = y + 4; q = k + 2. Given that y = 7, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"r": "j + 8", "v": "r + 18", "n": "v + 7", "z": "n + 4", "b": "z + 8", "q": "b + 8", "t": "j + 18", "w": "t + 6", "m": "w + 19", "y": "m + 7", "o": "y + 4", "c": "o + 10", "j": 7}, "premises": {"j": 7}, "target": "q"}, "answer": {"steps": [["b", "z + 8", "z + 16"], ["z", "n + 4", "n + 20"], ["n", "v + 7", "v + 27"], ["v", "r + 18", "r + 45"], ["r", "j + 8", "j + 53"], ["j", 7, "60"]], "target_var_name": "q", "target_value": 60, "value_dict": {"j": 7}, "is_reverse": true}} | 18,301 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = y + 4; r = j + 8; m = w + 19; w = t + 6; v = r + 18; y = m + 7; c = o + 10; t = j + 18; q = b + 8; z = n + 4; n = v + 7; j = 7; b = z + 8. If j = 7, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = z + 8 to q, which gives q = z + 16.\n2. Substitute z = n + 4 to q, which gives q = n + 20.\n3. Substitute n = v + 7 to q, which gives q = v + 27.\n4. Substitute v = r + 18 to q, which gives q = r + 45.\n5. Substitute r = j + 8 to q, which gives q = j + 53.\n6. Substitute j = 7 to q, which gives q = 60.\n\nThus, the final answer is q = \\boxed{60}.",
"index": 18301,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = y + 4; r = j + 8; m = w + 19; w = t + 6; v = r + 18; y = m + 7; c = o + 10; t = j + 18; q = b + 8; z = n + 4; n = v + 7; j = 7; b = z + 8. If j = 7, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"q": "o + 7", "f": "q + 11", "s": "f + 20", "j": "s + 10", "n": "j + 6", "r": "n + 9", "w": "o + 3", "p": "w + 8", "u": "p + 12", "m": "u + 15", "x": "m + 9", "e": "x + 10", "o": 8}, "premises": {"o": 8}, "target": "r"}, "answer": {"steps": [["n", "j + 6", "j + 15"], ["j", "s + 10", "s + 25"], ["s", "f + 20", "f + 45"], ["f", "q + 11", "q + 56"], ["q", "o + 7", "o + 63"], ["o", 8, "71"]], "target_var_name": "r", "target_value": 71, "value_dict": {"o": 8}, "is_reverse": true}} | 18,302 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = 8; x = m + 9; q = o + 7; e = x + 10; u = p + 12; s = f + 20; w = o + 3; m = u + 15; j = s + 10; n = j + 6; f = q + 11; r = n + 9; p = w + 8. Given that o = 8, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = j + 6 to r, which gives r = j + 15.\n2. Substitute j = s + 10 to r, which gives r = s + 25.\n3. Substitute s = f + 20 to r, which gives r = f + 45.\n4. Substitute f = q + 11 to r, which gives r = q + 56.\n5. Substitute q = o + 7 to r, which gives r = o + 63.\n6. Substitute o = 8 to r, which gives r = 71.\n\nThus, the final answer is r = \\boxed{71}.",
"index": 18302,
"question": "Suppose a collection of variables is related by the following definitions: o = 8; x = m + 9; q = o + 7; e = x + 10; u = p + 12; s = f + 20; w = o + 3; m = u + 15; j = s + 10; n = j + 6; f = q + 11; r = n + 9; p = w + 8. Given that o = 8, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"l": "i + 9", "s": "l + 1", "g": "s + 4", "o": "g + 13", "k": "o + 11", "c": "k + 14", "b": "i + 5", "n": "b + 9", "j": "n + 9", "r": "j + 9", "f": "r + 18", "v": "f + 13", "i": 8}, "premises": {"i": 8}, "target": "c"}, "answer": {"steps": [["k", "o + 11", "o + 25"], ["o", "g + 13", "g + 38"], ["g", "s + 4", "s + 42"], ["s", "l + 1", "l + 43"], ["l", "i + 9", "i + 52"], ["i", 8, "60"]], "target_var_name": "c", "target_value": 60, "value_dict": {"i": 8}, "is_reverse": true}} | 18,303 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = n + 9; f = r + 18; i = 8; o = g + 13; n = b + 9; s = l + 1; g = s + 4; c = k + 14; k = o + 11; l = i + 9; v = f + 13; b = i + 5; r = j + 9. If i = 8, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = o + 11 to c, which gives c = o + 25.\n2. Substitute o = g + 13 to c, which gives c = g + 38.\n3. Substitute g = s + 4 to c, which gives c = s + 42.\n4. Substitute s = l + 1 to c, which gives c = l + 43.\n5. Substitute l = i + 9 to c, which gives c = i + 52.\n6. Substitute i = 8 to c, which gives c = 60.\n\nThus, the final answer is c = \\boxed{60}.",
"index": 18303,
"question": "Consider a system of variables where each variable is defined as follows: j = n + 9; f = r + 18; i = 8; o = g + 13; n = b + 9; s = l + 1; g = s + 4; c = k + 14; k = o + 11; l = i + 9; v = f + 13; b = i + 5; r = j + 9. If i = 8, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"y": "m + 16", "p": "y + 20", "r": "p + 12", "j": "r + 6", "u": "j + 7", "d": "u + 13", "h": "m + 9", "g": "h + 10", "o": "g + 1", "b": "o + 7", "n": "b + 16", "f": "n + 10", "m": 3}, "premises": {"m": 3}, "target": "d"}, "answer": {"steps": [["u", "j + 7", "j + 20"], ["j", "r + 6", "r + 26"], ["r", "p + 12", "p + 38"], ["p", "y + 20", "y + 58"], ["y", "m + 16", "m + 74"], ["m", 3, "77"]], "target_var_name": "d", "target_value": 77, "value_dict": {"m": 3}, "is_reverse": true}} | 18,304 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = p + 12; m = 3; h = m + 9; g = h + 10; d = u + 13; b = o + 7; f = n + 10; u = j + 7; y = m + 16; p = y + 20; o = g + 1; n = b + 16; j = r + 6. If m = 3, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = j + 7 to d, which gives d = j + 20.\n2. Substitute j = r + 6 to d, which gives d = r + 26.\n3. Substitute r = p + 12 to d, which gives d = p + 38.\n4. Substitute p = y + 20 to d, which gives d = y + 58.\n5. Substitute y = m + 16 to d, which gives d = m + 74.\n6. Substitute m = 3 to d, which gives d = 77.\n\nThus, the final answer is d = \\boxed{77}.",
"index": 18304,
"question": "Consider a system of variables where each variable is defined as follows: r = p + 12; m = 3; h = m + 9; g = h + 10; d = u + 13; b = o + 7; f = n + 10; u = j + 7; y = m + 16; p = y + 20; o = g + 1; n = b + 16; j = r + 6. If m = 3, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"r": "p + 16", "z": "r + 15", "u": "z + 1", "y": "u + 12", "m": "y + 17", "h": "m + 20", "w": "p + 1", "b": "w + 7", "s": "b + 16", "k": "s + 1", "t": "k + 13", "e": "t + 6", "p": 6}, "premises": {"p": 6}, "target": "h"}, "answer": {"steps": [["m", "y + 17", "y + 37"], ["y", "u + 12", "u + 49"], ["u", "z + 1", "z + 50"], ["z", "r + 15", "r + 65"], ["r", "p + 16", "p + 81"], ["p", 6, "87"]], "target_var_name": "h", "target_value": 87, "value_dict": {"p": 6}, "is_reverse": true}} | 18,305 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = y + 17; h = m + 20; e = t + 6; s = b + 16; k = s + 1; u = z + 1; r = p + 16; b = w + 7; y = u + 12; t = k + 13; z = r + 15; w = p + 1; p = 6. If p = 6, determine 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 m = y + 17 to h, which gives h = y + 37.\n2. Substitute y = u + 12 to h, which gives h = u + 49.\n3. Substitute u = z + 1 to h, which gives h = z + 50.\n4. Substitute z = r + 15 to h, which gives h = r + 65.\n5. Substitute r = p + 16 to h, which gives h = p + 81.\n6. Substitute p = 6 to h, which gives h = 87.\n\nThus, the final answer is h = \\boxed{87}.",
"index": 18305,
"question": "Consider a system of variables where each variable is defined as follows: m = y + 17; h = m + 20; e = t + 6; s = b + 16; k = s + 1; u = z + 1; r = p + 16; b = w + 7; y = u + 12; t = k + 13; z = r + 15; w = p + 1; p = 6. If p = 6, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"o": "t + 5", "n": "o + 8", "h": "n + 6", "a": "h + 3", "l": "a + 7", "y": "l + 19", "v": "t + 4", "f": "v + 10", "u": "f + 17", "q": "u + 9", "x": "q + 9", "p": "x + 4", "t": 5}, "premises": {"t": 5}, "target": "y"}, "answer": {"steps": [["l", "a + 7", "a + 26"], ["a", "h + 3", "h + 29"], ["h", "n + 6", "n + 35"], ["n", "o + 8", "o + 43"], ["o", "t + 5", "t + 48"], ["t", 5, "53"]], "target_var_name": "y", "target_value": 53, "value_dict": {"t": 5}, "is_reverse": true}} | 18,306 | 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; u = f + 17; q = u + 9; l = a + 7; x = q + 9; n = o + 8; h = n + 6; f = v + 10; y = l + 19; t = 5; o = t + 5; p = x + 4; v = t + 4. Given that t = 5, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = a + 7 to y, which gives y = a + 26.\n2. Substitute a = h + 3 to y, which gives y = h + 29.\n3. Substitute h = n + 6 to y, which gives y = n + 35.\n4. Substitute n = o + 8 to y, which gives y = o + 43.\n5. Substitute o = t + 5 to y, which gives y = t + 48.\n6. Substitute t = 5 to y, which gives y = 53.\n\nThus, the final answer is y = \\boxed{53}.",
"index": 18306,
"question": "Suppose a collection of variables is related by the following definitions: a = h + 3; u = f + 17; q = u + 9; l = a + 7; x = q + 9; n = o + 8; h = n + 6; f = v + 10; y = l + 19; t = 5; o = t + 5; p = x + 4; v = t + 4. Given that t = 5, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"l": "u + 5", "v": "l + 12", "q": "v + 10", "y": "q + 12", "g": "y + 17", "d": "g + 5", "o": "u + 2", "x": "o + 3", "m": "x + 3", "c": "m + 15", "n": "c + 5", "k": "n + 19", "u": 15}, "premises": {"u": 15}, "target": "d"}, "answer": {"steps": [["g", "y + 17", "y + 22"], ["y", "q + 12", "q + 34"], ["q", "v + 10", "v + 44"], ["v", "l + 12", "l + 56"], ["l", "u + 5", "u + 61"], ["u", 15, "76"]], "target_var_name": "d", "target_value": 76, "value_dict": {"u": 15}, "is_reverse": true}} | 18,307 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = 15; o = u + 2; y = q + 12; x = o + 3; k = n + 19; m = x + 3; l = u + 5; g = y + 17; n = c + 5; q = v + 10; v = l + 12; d = g + 5; c = m + 15. If u = 15, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = y + 17 to d, which gives d = y + 22.\n2. Substitute y = q + 12 to d, which gives d = q + 34.\n3. Substitute q = v + 10 to d, which gives d = v + 44.\n4. Substitute v = l + 12 to d, which gives d = l + 56.\n5. Substitute l = u + 5 to d, which gives d = u + 61.\n6. Substitute u = 15 to d, which gives d = 76.\n\nThus, the final answer is d = \\boxed{76}.",
"index": 18307,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = 15; o = u + 2; y = q + 12; x = o + 3; k = n + 19; m = x + 3; l = u + 5; g = y + 17; n = c + 5; q = v + 10; v = l + 12; d = g + 5; c = m + 15. If u = 15, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"r": "k + 19", "p": "r + 9", "t": "p + 7", "n": "t + 9", "q": "n + 16", "i": "q + 12", "e": "k + 4", "c": "e + 20", "l": "c + 19", "u": "l + 2", "b": "u + 20", "v": "b + 15", "k": 10}, "premises": {"k": 10}, "target": "i"}, "answer": {"steps": [["q", "n + 16", "n + 28"], ["n", "t + 9", "t + 37"], ["t", "p + 7", "p + 44"], ["p", "r + 9", "r + 53"], ["r", "k + 19", "k + 72"], ["k", 10, "82"]], "target_var_name": "i", "target_value": 82, "value_dict": {"k": 10}, "is_reverse": true}} | 18,308 | 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 = k + 4; l = c + 19; b = u + 20; u = l + 2; t = p + 7; c = e + 20; r = k + 19; v = b + 15; n = t + 9; i = q + 12; q = n + 16; k = 10; p = r + 9. If k = 10, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = n + 16 to i, which gives i = n + 28.\n2. Substitute n = t + 9 to i, which gives i = t + 37.\n3. Substitute t = p + 7 to i, which gives i = p + 44.\n4. Substitute p = r + 9 to i, which gives i = r + 53.\n5. Substitute r = k + 19 to i, which gives i = k + 72.\n6. Substitute k = 10 to i, which gives i = 82.\n\nThus, the final answer is i = \\boxed{82}.",
"index": 18308,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = k + 4; l = c + 19; b = u + 20; u = l + 2; t = p + 7; c = e + 20; r = k + 19; v = b + 15; n = t + 9; i = q + 12; q = n + 16; k = 10; p = r + 9. If k = 10, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"f": "q + 16", "c": "f + 12", "u": "c + 12", "w": "u + 14", "y": "w + 12", "a": "y + 18", "d": "q + 4", "p": "d + 19", "m": "p + 6", "o": "m + 8", "e": "o + 20", "n": "e + 13", "q": 12}, "premises": {"q": 12}, "target": "a"}, "answer": {"steps": [["y", "w + 12", "w + 30"], ["w", "u + 14", "u + 44"], ["u", "c + 12", "c + 56"], ["c", "f + 12", "f + 68"], ["f", "q + 16", "q + 84"], ["q", 12, "96"]], "target_var_name": "a", "target_value": 96, "value_dict": {"q": 12}, "is_reverse": true}} | 18,309 | 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 = o + 20; o = m + 8; f = q + 16; m = p + 6; c = f + 12; n = e + 13; w = u + 14; y = w + 12; d = q + 4; u = c + 12; a = y + 18; q = 12; p = d + 19. If q = 12, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = w + 12 to a, which gives a = w + 30.\n2. Substitute w = u + 14 to a, which gives a = u + 44.\n3. Substitute u = c + 12 to a, which gives a = c + 56.\n4. Substitute c = f + 12 to a, which gives a = f + 68.\n5. Substitute f = q + 16 to a, which gives a = q + 84.\n6. Substitute q = 12 to a, which gives a = 96.\n\nThus, the final answer is a = \\boxed{96}.",
"index": 18309,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = o + 20; o = m + 8; f = q + 16; m = p + 6; c = f + 12; n = e + 13; w = u + 14; y = w + 12; d = q + 4; u = c + 12; a = y + 18; q = 12; p = d + 19. If q = 12, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"v": "w + 17", "g": "v + 3", "c": "g + 2", "l": "c + 17", "q": "l + 7", "e": "q + 16", "f": "w + 9", "j": "f + 17", "h": "j + 18", "x": "h + 17", "n": "x + 4", "a": "n + 6", "w": 17}, "premises": {"w": 17}, "target": "e"}, "answer": {"steps": [["q", "l + 7", "l + 23"], ["l", "c + 17", "c + 40"], ["c", "g + 2", "g + 42"], ["g", "v + 3", "v + 45"], ["v", "w + 17", "w + 62"], ["w", 17, "79"]], "target_var_name": "e", "target_value": 79, "value_dict": {"w": 17}, "is_reverse": true}} | 18,310 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = l + 7; n = x + 4; a = n + 6; l = c + 17; x = h + 17; f = w + 9; j = f + 17; g = v + 3; e = q + 16; c = g + 2; h = j + 18; w = 17; v = w + 17. If w = 17, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = l + 7 to e, which gives e = l + 23.\n2. Substitute l = c + 17 to e, which gives e = c + 40.\n3. Substitute c = g + 2 to e, which gives e = g + 42.\n4. Substitute g = v + 3 to e, which gives e = v + 45.\n5. Substitute v = w + 17 to e, which gives e = w + 62.\n6. Substitute w = 17 to e, which gives e = 79.\n\nThus, the final answer is e = \\boxed{79}.",
"index": 18310,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = l + 7; n = x + 4; a = n + 6; l = c + 17; x = h + 17; f = w + 9; j = f + 17; g = v + 3; e = q + 16; c = g + 2; h = j + 18; w = 17; v = w + 17. If w = 17, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"y": "p + 5", "b": "y + 20", "e": "b + 4", "v": "e + 16", "f": "v + 19", "a": "f + 17", "s": "p + 13", "l": "s + 3", "h": "l + 11", "c": "h + 6", "t": "c + 2", "o": "t + 7", "p": 17}, "premises": {"p": 17}, "target": "a"}, "answer": {"steps": [["f", "v + 19", "v + 36"], ["v", "e + 16", "e + 52"], ["e", "b + 4", "b + 56"], ["b", "y + 20", "y + 76"], ["y", "p + 5", "p + 81"], ["p", 17, "98"]], "target_var_name": "a", "target_value": 98, "value_dict": {"p": 17}, "is_reverse": true}} | 18,311 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = t + 7; c = h + 6; e = b + 4; h = l + 11; a = f + 17; t = c + 2; f = v + 19; s = p + 13; y = p + 5; b = y + 20; v = e + 16; p = 17; l = s + 3. If p = 17, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = v + 19 to a, which gives a = v + 36.\n2. Substitute v = e + 16 to a, which gives a = e + 52.\n3. Substitute e = b + 4 to a, which gives a = b + 56.\n4. Substitute b = y + 20 to a, which gives a = y + 76.\n5. Substitute y = p + 5 to a, which gives a = p + 81.\n6. Substitute p = 17 to a, which gives a = 98.\n\nThus, the final answer is a = \\boxed{98}.",
"index": 18311,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = t + 7; c = h + 6; e = b + 4; h = l + 11; a = f + 17; t = c + 2; f = v + 19; s = p + 13; y = p + 5; b = y + 20; v = e + 16; p = 17; l = s + 3. If p = 17, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"i": "n + 14", "a": "i + 5", "u": "a + 3", "s": "u + 9", "v": "s + 12", "f": "v + 1", "l": "n + 13", "k": "l + 8", "y": "k + 15", "h": "y + 13", "r": "h + 12", "m": "r + 9", "n": 7}, "premises": {"n": 7}, "target": "f"}, "answer": {"steps": [["v", "s + 12", "s + 13"], ["s", "u + 9", "u + 22"], ["u", "a + 3", "a + 25"], ["a", "i + 5", "i + 30"], ["i", "n + 14", "n + 44"], ["n", 7, "51"]], "target_var_name": "f", "target_value": 51, "value_dict": {"n": 7}, "is_reverse": true}} | 18,312 | 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 = s + 12; f = v + 1; u = a + 3; a = i + 5; y = k + 15; n = 7; k = l + 8; h = y + 13; r = h + 12; m = r + 9; l = n + 13; i = n + 14; s = u + 9. If n = 7, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = s + 12 to f, which gives f = s + 13.\n2. Substitute s = u + 9 to f, which gives f = u + 22.\n3. Substitute u = a + 3 to f, which gives f = a + 25.\n4. Substitute a = i + 5 to f, which gives f = i + 30.\n5. Substitute i = n + 14 to f, which gives f = n + 44.\n6. Substitute n = 7 to f, which gives f = 51.\n\nThus, the final answer is f = \\boxed{51}.",
"index": 18312,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = s + 12; f = v + 1; u = a + 3; a = i + 5; y = k + 15; n = 7; k = l + 8; h = y + 13; r = h + 12; m = r + 9; l = n + 13; i = n + 14; s = u + 9. If n = 7, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"u": "c + 7", "e": "u + 4", "w": "e + 6", "j": "w + 19", "a": "j + 16", "k": "a + 5", "p": "c + 14", "s": "p + 7", "n": "s + 20", "x": "n + 16", "i": "x + 3", "r": "i + 15", "c": 17}, "premises": {"c": 17}, "target": "k"}, "answer": {"steps": [["a", "j + 16", "j + 21"], ["j", "w + 19", "w + 40"], ["w", "e + 6", "e + 46"], ["e", "u + 4", "u + 50"], ["u", "c + 7", "c + 57"], ["c", 17, "74"]], "target_var_name": "k", "target_value": 74, "value_dict": {"c": 17}, "is_reverse": true}} | 18,313 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = c + 7; w = e + 6; s = p + 7; j = w + 19; n = s + 20; c = 17; k = a + 5; p = c + 14; e = u + 4; x = n + 16; r = i + 15; i = x + 3; a = j + 16. If c = 17, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = j + 16 to k, which gives k = j + 21.\n2. Substitute j = w + 19 to k, which gives k = w + 40.\n3. Substitute w = e + 6 to k, which gives k = e + 46.\n4. Substitute e = u + 4 to k, which gives k = u + 50.\n5. Substitute u = c + 7 to k, which gives k = c + 57.\n6. Substitute c = 17 to k, which gives k = 74.\n\nThus, the final answer is k = \\boxed{74}.",
"index": 18313,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = c + 7; w = e + 6; s = p + 7; j = w + 19; n = s + 20; c = 17; k = a + 5; p = c + 14; e = u + 4; x = n + 16; r = i + 15; i = x + 3; a = j + 16. If c = 17, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"l": "h + 15", "t": "l + 8", "p": "t + 10", "y": "p + 7", "w": "y + 12", "v": "w + 8", "i": "h + 16", "d": "i + 20", "u": "d + 11", "r": "u + 9", "g": "r + 10", "z": "g + 10", "h": 4}, "premises": {"h": 4}, "target": "v"}, "answer": {"steps": [["w", "y + 12", "y + 20"], ["y", "p + 7", "p + 27"], ["p", "t + 10", "t + 37"], ["t", "l + 8", "l + 45"], ["l", "h + 15", "h + 60"], ["h", 4, "64"]], "target_var_name": "v", "target_value": 64, "value_dict": {"h": 4}, "is_reverse": true}} | 18,314 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = d + 11; y = p + 7; r = u + 9; p = t + 10; h = 4; d = i + 20; z = g + 10; i = h + 16; t = l + 8; g = r + 10; w = y + 12; v = w + 8; l = h + 15. If h = 4, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = y + 12 to v, which gives v = y + 20.\n2. Substitute y = p + 7 to v, which gives v = p + 27.\n3. Substitute p = t + 10 to v, which gives v = t + 37.\n4. Substitute t = l + 8 to v, which gives v = l + 45.\n5. Substitute l = h + 15 to v, which gives v = h + 60.\n6. Substitute h = 4 to v, which gives v = 64.\n\nThus, the final answer is v = \\boxed{64}.",
"index": 18314,
"question": "Consider a system of variables where each variable is defined as follows: u = d + 11; y = p + 7; r = u + 9; p = t + 10; h = 4; d = i + 20; z = g + 10; i = h + 16; t = l + 8; g = r + 10; w = y + 12; v = w + 8; l = h + 15. If h = 4, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"r": "l + 20", "k": "r + 16", "u": "k + 15", "a": "u + 4", "e": "a + 18", "s": "e + 20", "h": "l + 10", "x": "h + 6", "p": "x + 2", "d": "p + 2", "n": "d + 16", "j": "n + 17", "l": 1}, "premises": {"l": 1}, "target": "s"}, "answer": {"steps": [["e", "a + 18", "a + 38"], ["a", "u + 4", "u + 42"], ["u", "k + 15", "k + 57"], ["k", "r + 16", "r + 73"], ["r", "l + 20", "l + 93"], ["l", 1, "94"]], "target_var_name": "s", "target_value": 94, "value_dict": {"l": 1}, "is_reverse": true}} | 18,315 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = l + 20; e = a + 18; h = l + 10; l = 1; j = n + 17; s = e + 20; n = d + 16; a = u + 4; p = x + 2; u = k + 15; d = p + 2; k = r + 16; x = h + 6. Given that l = 1, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = a + 18 to s, which gives s = a + 38.\n2. Substitute a = u + 4 to s, which gives s = u + 42.\n3. Substitute u = k + 15 to s, which gives s = k + 57.\n4. Substitute k = r + 16 to s, which gives s = r + 73.\n5. Substitute r = l + 20 to s, which gives s = l + 93.\n6. Substitute l = 1 to s, which gives s = 94.\n\nThus, the final answer is s = \\boxed{94}.",
"index": 18315,
"question": "Suppose a collection of variables is related by the following definitions: r = l + 20; e = a + 18; h = l + 10; l = 1; j = n + 17; s = e + 20; n = d + 16; a = u + 4; p = x + 2; u = k + 15; d = p + 2; k = r + 16; x = h + 6. Given that l = 1, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"i": "t + 13", "o": "i + 16", "e": "o + 4", "y": "e + 13", "g": "y + 8", "u": "g + 15", "d": "t + 8", "f": "d + 13", "s": "f + 19", "l": "s + 20", "z": "l + 10", "q": "z + 11", "t": 17}, "premises": {"t": 17}, "target": "u"}, "answer": {"steps": [["g", "y + 8", "y + 23"], ["y", "e + 13", "e + 36"], ["e", "o + 4", "o + 40"], ["o", "i + 16", "i + 56"], ["i", "t + 13", "t + 69"], ["t", 17, "86"]], "target_var_name": "u", "target_value": 86, "value_dict": {"t": 17}, "is_reverse": true}} | 18,316 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = 17; i = t + 13; l = s + 20; o = i + 16; s = f + 19; y = e + 13; u = g + 15; f = d + 13; d = t + 8; q = z + 11; z = l + 10; e = o + 4; g = y + 8. If t = 17, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = y + 8 to u, which gives u = y + 23.\n2. Substitute y = e + 13 to u, which gives u = e + 36.\n3. Substitute e = o + 4 to u, which gives u = o + 40.\n4. Substitute o = i + 16 to u, which gives u = i + 56.\n5. Substitute i = t + 13 to u, which gives u = t + 69.\n6. Substitute t = 17 to u, which gives u = 86.\n\nThus, the final answer is u = \\boxed{86}.",
"index": 18316,
"question": "Consider a system of variables where each variable is defined as follows: t = 17; i = t + 13; l = s + 20; o = i + 16; s = f + 19; y = e + 13; u = g + 15; f = d + 13; d = t + 8; q = z + 11; z = l + 10; e = o + 4; g = y + 8. If t = 17, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"l": "x + 7", "y": "l + 19", "s": "y + 12", "m": "s + 12", "i": "m + 11", "z": "i + 13", "p": "x + 9", "t": "p + 11", "r": "t + 7", "d": "r + 11", "k": "d + 15", "v": "k + 14", "x": 9}, "premises": {"x": 9}, "target": "z"}, "answer": {"steps": [["i", "m + 11", "m + 24"], ["m", "s + 12", "s + 36"], ["s", "y + 12", "y + 48"], ["y", "l + 19", "l + 67"], ["l", "x + 7", "x + 74"], ["x", 9, "83"]], "target_var_name": "z", "target_value": 83, "value_dict": {"x": 9}, "is_reverse": true}} | 18,317 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = r + 11; p = x + 9; i = m + 11; y = l + 19; t = p + 11; z = i + 13; r = t + 7; m = s + 12; v = k + 14; s = y + 12; x = 9; l = x + 7; k = d + 15. If x = 9, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = m + 11 to z, which gives z = m + 24.\n2. Substitute m = s + 12 to z, which gives z = s + 36.\n3. Substitute s = y + 12 to z, which gives z = y + 48.\n4. Substitute y = l + 19 to z, which gives z = l + 67.\n5. Substitute l = x + 7 to z, which gives z = x + 74.\n6. Substitute x = 9 to z, which gives z = 83.\n\nThus, the final answer is z = \\boxed{83}.",
"index": 18317,
"question": "Consider a system of variables where each variable is defined as follows: d = r + 11; p = x + 9; i = m + 11; y = l + 19; t = p + 11; z = i + 13; r = t + 7; m = s + 12; v = k + 14; s = y + 12; x = 9; l = x + 7; k = d + 15. If x = 9, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"w": "a + 7", "g": "w + 4", "l": "g + 6", "e": "l + 3", "s": "e + 16", "v": "s + 2", "b": "a + 16", "x": "b + 13", "j": "x + 14", "h": "j + 4", "z": "h + 7", "p": "z + 3", "a": 17}, "premises": {"a": 17}, "target": "v"}, "answer": {"steps": [["s", "e + 16", "e + 18"], ["e", "l + 3", "l + 21"], ["l", "g + 6", "g + 27"], ["g", "w + 4", "w + 31"], ["w", "a + 7", "a + 38"], ["a", 17, "55"]], "target_var_name": "v", "target_value": 55, "value_dict": {"a": 17}, "is_reverse": true}} | 18,318 | 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 = w + 4; v = s + 2; a = 17; b = a + 16; h = j + 4; x = b + 13; z = h + 7; p = z + 3; e = l + 3; w = a + 7; j = x + 14; l = g + 6; s = e + 16. If a = 17, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = e + 16 to v, which gives v = e + 18.\n2. Substitute e = l + 3 to v, which gives v = l + 21.\n3. Substitute l = g + 6 to v, which gives v = g + 27.\n4. Substitute g = w + 4 to v, which gives v = w + 31.\n5. Substitute w = a + 7 to v, which gives v = a + 38.\n6. Substitute a = 17 to v, which gives v = 55.\n\nThus, the final answer is v = \\boxed{55}.",
"index": 18318,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = w + 4; v = s + 2; a = 17; b = a + 16; h = j + 4; x = b + 13; z = h + 7; p = z + 3; e = l + 3; w = a + 7; j = x + 14; l = g + 6; s = e + 16. If a = 17, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"s": "z + 1", "f": "s + 10", "w": "f + 10", "i": "w + 6", "r": "i + 7", "e": "r + 11", "b": "z + 19", "x": "b + 9", "d": "x + 9", "y": "d + 8", "a": "y + 16", "p": "a + 9", "z": 13}, "premises": {"z": 13}, "target": "e"}, "answer": {"steps": [["r", "i + 7", "i + 18"], ["i", "w + 6", "w + 24"], ["w", "f + 10", "f + 34"], ["f", "s + 10", "s + 44"], ["s", "z + 1", "z + 45"], ["z", 13, "58"]], "target_var_name": "e", "target_value": 58, "value_dict": {"z": 13}, "is_reverse": true}} | 18,319 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = a + 9; i = w + 6; a = y + 16; e = r + 11; y = d + 8; s = z + 1; z = 13; d = x + 9; b = z + 19; r = i + 7; w = f + 10; f = s + 10; x = b + 9. Given that z = 13, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = i + 7 to e, which gives e = i + 18.\n2. Substitute i = w + 6 to e, which gives e = w + 24.\n3. Substitute w = f + 10 to e, which gives e = f + 34.\n4. Substitute f = s + 10 to e, which gives e = s + 44.\n5. Substitute s = z + 1 to e, which gives e = z + 45.\n6. Substitute z = 13 to e, which gives e = 58.\n\nThus, the final answer is e = \\boxed{58}.",
"index": 18319,
"question": "Suppose a collection of variables is related by the following definitions: p = a + 9; i = w + 6; a = y + 16; e = r + 11; y = d + 8; s = z + 1; z = 13; d = x + 9; b = z + 19; r = i + 7; w = f + 10; f = s + 10; x = b + 9. Given that z = 13, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"g": "x + 4", "e": "g + 5", "j": "e + 17", "o": "j + 15", "u": "o + 8", "r": "u + 7", "i": "x + 2", "c": "i + 1", "n": "c + 6", "v": "n + 16", "y": "v + 12", "d": "y + 7", "x": 2}, "premises": {"x": 2}, "target": "r"}, "answer": {"steps": [["u", "o + 8", "o + 15"], ["o", "j + 15", "j + 30"], ["j", "e + 17", "e + 47"], ["e", "g + 5", "g + 52"], ["g", "x + 4", "x + 56"], ["x", 2, "58"]], "target_var_name": "r", "target_value": 58, "value_dict": {"x": 2}, "is_reverse": true}} | 18,320 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = j + 15; r = u + 7; u = o + 8; v = n + 16; d = y + 7; n = c + 6; j = e + 17; y = v + 12; c = i + 1; x = 2; g = x + 4; i = x + 2; e = g + 5. If x = 2, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = o + 8 to r, which gives r = o + 15.\n2. Substitute o = j + 15 to r, which gives r = j + 30.\n3. Substitute j = e + 17 to r, which gives r = e + 47.\n4. Substitute e = g + 5 to r, which gives r = g + 52.\n5. Substitute g = x + 4 to r, which gives r = x + 56.\n6. Substitute x = 2 to r, which gives r = 58.\n\nThus, the final answer is r = \\boxed{58}.",
"index": 18320,
"question": "Consider a system of variables where each variable is defined as follows: o = j + 15; r = u + 7; u = o + 8; v = n + 16; d = y + 7; n = c + 6; j = e + 17; y = v + 12; c = i + 1; x = 2; g = x + 4; i = x + 2; e = g + 5. If x = 2, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"r": "s + 8", "e": "r + 7", "u": "e + 19", "b": "u + 3", "c": "b + 15", "i": "c + 4", "o": "s + 17", "a": "o + 1", "x": "a + 16", "d": "x + 2", "h": "d + 5", "y": "h + 14", "s": 15}, "premises": {"s": 15}, "target": "i"}, "answer": {"steps": [["c", "b + 15", "b + 19"], ["b", "u + 3", "u + 22"], ["u", "e + 19", "e + 41"], ["e", "r + 7", "r + 48"], ["r", "s + 8", "s + 56"], ["s", 15, "71"]], "target_var_name": "i", "target_value": 71, "value_dict": {"s": 15}, "is_reverse": true}} | 18,321 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = a + 16; o = s + 17; e = r + 7; a = o + 1; h = d + 5; u = e + 19; i = c + 4; b = u + 3; r = s + 8; d = x + 2; c = b + 15; y = h + 14; s = 15. Given that s = 15, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = b + 15 to i, which gives i = b + 19.\n2. Substitute b = u + 3 to i, which gives i = u + 22.\n3. Substitute u = e + 19 to i, which gives i = e + 41.\n4. Substitute e = r + 7 to i, which gives i = r + 48.\n5. Substitute r = s + 8 to i, which gives i = s + 56.\n6. Substitute s = 15 to i, which gives i = 71.\n\nThus, the final answer is i = \\boxed{71}.",
"index": 18321,
"question": "Suppose a collection of variables is related by the following definitions: x = a + 16; o = s + 17; e = r + 7; a = o + 1; h = d + 5; u = e + 19; i = c + 4; b = u + 3; r = s + 8; d = x + 2; c = b + 15; y = h + 14; s = 15. Given that s = 15, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"h": "o + 3", "m": "h + 2", "w": "m + 3", "n": "w + 2", "e": "n + 9", "f": "e + 7", "g": "o + 4", "p": "g + 14", "b": "p + 3", "t": "b + 12", "u": "t + 20", "v": "u + 8", "o": 20}, "premises": {"o": 20}, "target": "f"}, "answer": {"steps": [["e", "n + 9", "n + 16"], ["n", "w + 2", "w + 18"], ["w", "m + 3", "m + 21"], ["m", "h + 2", "h + 23"], ["h", "o + 3", "o + 26"], ["o", 20, "46"]], "target_var_name": "f", "target_value": 46, "value_dict": {"o": 20}, "is_reverse": true}} | 18,322 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = b + 12; v = u + 8; w = m + 3; e = n + 9; o = 20; h = o + 3; m = h + 2; b = p + 3; n = w + 2; f = e + 7; g = o + 4; p = g + 14; u = t + 20. Given that o = 20, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = n + 9 to f, which gives f = n + 16.\n2. Substitute n = w + 2 to f, which gives f = w + 18.\n3. Substitute w = m + 3 to f, which gives f = m + 21.\n4. Substitute m = h + 2 to f, which gives f = h + 23.\n5. Substitute h = o + 3 to f, which gives f = o + 26.\n6. Substitute o = 20 to f, which gives f = 46.\n\nThus, the final answer is f = \\boxed{46}.",
"index": 18322,
"question": "Suppose a collection of variables is related by the following definitions: t = b + 12; v = u + 8; w = m + 3; e = n + 9; o = 20; h = o + 3; m = h + 2; b = p + 3; n = w + 2; f = e + 7; g = o + 4; p = g + 14; u = t + 20. Given that o = 20, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"g": "h + 13", "n": "g + 1", "b": "n + 4", "e": "b + 2", "u": "e + 19", "v": "u + 12", "t": "h + 1", "i": "t + 17", "q": "i + 18", "f": "q + 18", "o": "f + 4", "w": "o + 5", "h": 7}, "premises": {"h": 7}, "target": "v"}, "answer": {"steps": [["u", "e + 19", "e + 31"], ["e", "b + 2", "b + 33"], ["b", "n + 4", "n + 37"], ["n", "g + 1", "g + 38"], ["g", "h + 13", "h + 51"], ["h", 7, "58"]], "target_var_name": "v", "target_value": 58, "value_dict": {"h": 7}, "is_reverse": true}} | 18,323 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = o + 5; t = h + 1; q = i + 18; h = 7; o = f + 4; i = t + 17; u = e + 19; n = g + 1; v = u + 12; b = n + 4; e = b + 2; g = h + 13; f = q + 18. If h = 7, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = e + 19 to v, which gives v = e + 31.\n2. Substitute e = b + 2 to v, which gives v = b + 33.\n3. Substitute b = n + 4 to v, which gives v = n + 37.\n4. Substitute n = g + 1 to v, which gives v = g + 38.\n5. Substitute g = h + 13 to v, which gives v = h + 51.\n6. Substitute h = 7 to v, which gives v = 58.\n\nThus, the final answer is v = \\boxed{58}.",
"index": 18323,
"question": "Consider a system of variables where each variable is defined as follows: w = o + 5; t = h + 1; q = i + 18; h = 7; o = f + 4; i = t + 17; u = e + 19; n = g + 1; v = u + 12; b = n + 4; e = b + 2; g = h + 13; f = q + 18. If h = 7, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"z": "l + 8", "q": "z + 2", "c": "q + 20", "r": "c + 6", "b": "r + 12", "i": "b + 13", "e": "l + 8", "o": "e + 5", "j": "o + 20", "h": "j + 3", "a": "h + 2", "y": "a + 9", "l": 11}, "premises": {"l": 11}, "target": "i"}, "answer": {"steps": [["b", "r + 12", "r + 25"], ["r", "c + 6", "c + 31"], ["c", "q + 20", "q + 51"], ["q", "z + 2", "z + 53"], ["z", "l + 8", "l + 61"], ["l", 11, "72"]], "target_var_name": "i", "target_value": 72, "value_dict": {"l": 11}, "is_reverse": true}} | 18,324 | 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 = 11; q = z + 2; h = j + 3; e = l + 8; a = h + 2; c = q + 20; o = e + 5; i = b + 13; r = c + 6; b = r + 12; j = o + 20; y = a + 9; z = l + 8. If l = 11, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = r + 12 to i, which gives i = r + 25.\n2. Substitute r = c + 6 to i, which gives i = c + 31.\n3. Substitute c = q + 20 to i, which gives i = q + 51.\n4. Substitute q = z + 2 to i, which gives i = z + 53.\n5. Substitute z = l + 8 to i, which gives i = l + 61.\n6. Substitute l = 11 to i, which gives i = 72.\n\nThus, the final answer is i = \\boxed{72}.",
"index": 18324,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = 11; q = z + 2; h = j + 3; e = l + 8; a = h + 2; c = q + 20; o = e + 5; i = b + 13; r = c + 6; b = r + 12; j = o + 20; y = a + 9; z = l + 8. If l = 11, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"l": "w + 20", "q": "l + 3", "u": "q + 3", "y": "u + 12", "f": "y + 2", "r": "f + 18", "v": "w + 7", "j": "v + 13", "c": "j + 17", "o": "c + 10", "i": "o + 7", "b": "i + 12", "w": 5}, "premises": {"w": 5}, "target": "r"}, "answer": {"steps": [["f", "y + 2", "y + 20"], ["y", "u + 12", "u + 32"], ["u", "q + 3", "q + 35"], ["q", "l + 3", "l + 38"], ["l", "w + 20", "w + 58"], ["w", 5, "63"]], "target_var_name": "r", "target_value": 63, "value_dict": {"w": 5}, "is_reverse": true}} | 18,325 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = 5; o = c + 10; y = u + 12; l = w + 20; v = w + 7; q = l + 3; u = q + 3; f = y + 2; j = v + 13; b = i + 12; i = o + 7; c = j + 17; r = f + 18. If w = 5, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = y + 2 to r, which gives r = y + 20.\n2. Substitute y = u + 12 to r, which gives r = u + 32.\n3. Substitute u = q + 3 to r, which gives r = q + 35.\n4. Substitute q = l + 3 to r, which gives r = l + 38.\n5. Substitute l = w + 20 to r, which gives r = w + 58.\n6. Substitute w = 5 to r, which gives r = 63.\n\nThus, the final answer is r = \\boxed{63}.",
"index": 18325,
"question": "Consider a system of variables where each variable is defined as follows: w = 5; o = c + 10; y = u + 12; l = w + 20; v = w + 7; q = l + 3; u = q + 3; f = y + 2; j = v + 13; b = i + 12; i = o + 7; c = j + 17; r = f + 18. If w = 5, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"e": "c + 20", "s": "e + 18", "t": "s + 20", "b": "t + 20", "h": "b + 4", "u": "h + 4", "a": "c + 12", "d": "a + 18", "q": "d + 10", "m": "q + 15", "n": "m + 5", "x": "n + 19", "c": 15}, "premises": {"c": 15}, "target": "u"}, "answer": {"steps": [["h", "b + 4", "b + 8"], ["b", "t + 20", "t + 28"], ["t", "s + 20", "s + 48"], ["s", "e + 18", "e + 66"], ["e", "c + 20", "c + 86"], ["c", 15, "101"]], "target_var_name": "u", "target_value": 101, "value_dict": {"c": 15}, "is_reverse": true}} | 18,326 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = q + 15; d = a + 18; u = h + 4; x = n + 19; t = s + 20; q = d + 10; a = c + 12; b = t + 20; h = b + 4; s = e + 18; e = c + 20; n = m + 5; c = 15. If c = 15, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = b + 4 to u, which gives u = b + 8.\n2. Substitute b = t + 20 to u, which gives u = t + 28.\n3. Substitute t = s + 20 to u, which gives u = s + 48.\n4. Substitute s = e + 18 to u, which gives u = e + 66.\n5. Substitute e = c + 20 to u, which gives u = c + 86.\n6. Substitute c = 15 to u, which gives u = 101.\n\nThus, the final answer is u = \\boxed{101}.",
"index": 18326,
"question": "Consider a system of variables where each variable is defined as follows: m = q + 15; d = a + 18; u = h + 4; x = n + 19; t = s + 20; q = d + 10; a = c + 12; b = t + 20; h = b + 4; s = e + 18; e = c + 20; n = m + 5; c = 15. If c = 15, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"d": "p + 3", "a": "d + 7", "t": "a + 9", "w": "t + 11", "r": "w + 14", "v": "r + 15", "u": "p + 5", "q": "u + 11", "c": "q + 4", "y": "c + 14", "b": "y + 14", "n": "b + 4", "p": 16}, "premises": {"p": 16}, "target": "v"}, "answer": {"steps": [["r", "w + 14", "w + 29"], ["w", "t + 11", "t + 40"], ["t", "a + 9", "a + 49"], ["a", "d + 7", "d + 56"], ["d", "p + 3", "p + 59"], ["p", 16, "75"]], "target_var_name": "v", "target_value": 75, "value_dict": {"p": 16}, "is_reverse": true}} | 18,327 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = b + 4; t = a + 9; u = p + 5; d = p + 3; w = t + 11; a = d + 7; b = y + 14; y = c + 14; p = 16; c = q + 4; q = u + 11; r = w + 14; v = r + 15. Given that p = 16, find 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 r = w + 14 to v, which gives v = w + 29.\n2. Substitute w = t + 11 to v, which gives v = t + 40.\n3. Substitute t = a + 9 to v, which gives v = a + 49.\n4. Substitute a = d + 7 to v, which gives v = d + 56.\n5. Substitute d = p + 3 to v, which gives v = p + 59.\n6. Substitute p = 16 to v, which gives v = 75.\n\nThus, the final answer is v = \\boxed{75}.",
"index": 18327,
"question": "Suppose a collection of variables is related by the following definitions: n = b + 4; t = a + 9; u = p + 5; d = p + 3; w = t + 11; a = d + 7; b = y + 14; y = c + 14; p = 16; c = q + 4; q = u + 11; r = w + 14; v = r + 15. Given that p = 16, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"m": "v + 17", "i": "m + 12", "o": "i + 19", "z": "o + 10", "r": "z + 4", "g": "r + 1", "t": "v + 9", "p": "t + 11", "w": "p + 13", "y": "w + 16", "a": "y + 9", "d": "a + 20", "v": 2}, "premises": {"v": 2}, "target": "g"}, "answer": {"steps": [["r", "z + 4", "z + 5"], ["z", "o + 10", "o + 15"], ["o", "i + 19", "i + 34"], ["i", "m + 12", "m + 46"], ["m", "v + 17", "v + 63"], ["v", 2, "65"]], "target_var_name": "g", "target_value": 65, "value_dict": {"v": 2}, "is_reverse": true}} | 18,328 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = p + 13; p = t + 11; g = r + 1; z = o + 10; i = m + 12; t = v + 9; o = i + 19; v = 2; a = y + 9; m = v + 17; r = z + 4; y = w + 16; d = a + 20. If v = 2, determine 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 r = z + 4 to g, which gives g = z + 5.\n2. Substitute z = o + 10 to g, which gives g = o + 15.\n3. Substitute o = i + 19 to g, which gives g = i + 34.\n4. Substitute i = m + 12 to g, which gives g = m + 46.\n5. Substitute m = v + 17 to g, which gives g = v + 63.\n6. Substitute v = 2 to g, which gives g = 65.\n\nThus, the final answer is g = \\boxed{65}.",
"index": 18328,
"question": "Consider a system of variables where each variable is defined as follows: w = p + 13; p = t + 11; g = r + 1; z = o + 10; i = m + 12; t = v + 9; o = i + 19; v = 2; a = y + 9; m = v + 17; r = z + 4; y = w + 16; d = a + 20. If v = 2, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"k": "j + 5", "u": "k + 5", "g": "u + 12", "r": "g + 1", "p": "r + 14", "y": "p + 7", "a": "j + 9", "h": "a + 8", "m": "h + 3", "o": "m + 12", "c": "o + 16", "b": "c + 16", "j": 7}, "premises": {"j": 7}, "target": "y"}, "answer": {"steps": [["p", "r + 14", "r + 21"], ["r", "g + 1", "g + 22"], ["g", "u + 12", "u + 34"], ["u", "k + 5", "k + 39"], ["k", "j + 5", "j + 44"], ["j", 7, "51"]], "target_var_name": "y", "target_value": 51, "value_dict": {"j": 7}, "is_reverse": true}} | 18,329 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = h + 3; o = m + 12; u = k + 5; a = j + 9; j = 7; y = p + 7; h = a + 8; c = o + 16; k = j + 5; p = r + 14; b = c + 16; r = g + 1; g = u + 12. If j = 7, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = r + 14 to y, which gives y = r + 21.\n2. Substitute r = g + 1 to y, which gives y = g + 22.\n3. Substitute g = u + 12 to y, which gives y = u + 34.\n4. Substitute u = k + 5 to y, which gives y = k + 39.\n5. Substitute k = j + 5 to y, which gives y = j + 44.\n6. Substitute j = 7 to y, which gives y = 51.\n\nThus, the final answer is y = \\boxed{51}.",
"index": 18329,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = h + 3; o = m + 12; u = k + 5; a = j + 9; j = 7; y = p + 7; h = a + 8; c = o + 16; k = j + 5; p = r + 14; b = c + 16; r = g + 1; g = u + 12. If j = 7, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"n": "q + 15", "g": "n + 13", "u": "g + 1", "d": "u + 11", "w": "d + 1", "c": "w + 1", "s": "q + 16", "h": "s + 10", "b": "h + 3", "v": "b + 10", "y": "v + 17", "i": "y + 4", "q": 7}, "premises": {"q": 7}, "target": "c"}, "answer": {"steps": [["w", "d + 1", "d + 2"], ["d", "u + 11", "u + 13"], ["u", "g + 1", "g + 14"], ["g", "n + 13", "n + 27"], ["n", "q + 15", "q + 42"], ["q", 7, "49"]], "target_var_name": "c", "target_value": 49, "value_dict": {"q": 7}, "is_reverse": true}} | 18,330 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = 7; v = b + 10; n = q + 15; w = d + 1; g = n + 13; h = s + 10; b = h + 3; d = u + 11; i = y + 4; u = g + 1; y = v + 17; s = q + 16; c = w + 1. If q = 7, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = d + 1 to c, which gives c = d + 2.\n2. Substitute d = u + 11 to c, which gives c = u + 13.\n3. Substitute u = g + 1 to c, which gives c = g + 14.\n4. Substitute g = n + 13 to c, which gives c = n + 27.\n5. Substitute n = q + 15 to c, which gives c = q + 42.\n6. Substitute q = 7 to c, which gives c = 49.\n\nThus, the final answer is c = \\boxed{49}.",
"index": 18330,
"question": "Consider a system of variables where each variable is defined as follows: q = 7; v = b + 10; n = q + 15; w = d + 1; g = n + 13; h = s + 10; b = h + 3; d = u + 11; i = y + 4; u = g + 1; y = v + 17; s = q + 16; c = w + 1. If q = 7, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"a": "k + 10", "h": "a + 11", "o": "h + 11", "g": "o + 10", "w": "g + 1", "x": "w + 13", "r": "k + 8", "t": "r + 11", "m": "t + 17", "b": "m + 9", "l": "b + 15", "v": "l + 1", "k": 9}, "premises": {"k": 9}, "target": "x"}, "answer": {"steps": [["w", "g + 1", "g + 14"], ["g", "o + 10", "o + 24"], ["o", "h + 11", "h + 35"], ["h", "a + 11", "a + 46"], ["a", "k + 10", "k + 56"], ["k", 9, "65"]], "target_var_name": "x", "target_value": 65, "value_dict": {"k": 9}, "is_reverse": true}} | 18,331 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = t + 17; v = l + 1; b = m + 9; o = h + 11; a = k + 10; x = w + 13; g = o + 10; h = a + 11; l = b + 15; k = 9; t = r + 11; w = g + 1; r = k + 8. If k = 9, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = g + 1 to x, which gives x = g + 14.\n2. Substitute g = o + 10 to x, which gives x = o + 24.\n3. Substitute o = h + 11 to x, which gives x = h + 35.\n4. Substitute h = a + 11 to x, which gives x = a + 46.\n5. Substitute a = k + 10 to x, which gives x = k + 56.\n6. Substitute k = 9 to x, which gives x = 65.\n\nThus, the final answer is x = \\boxed{65}.",
"index": 18331,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = t + 17; v = l + 1; b = m + 9; o = h + 11; a = k + 10; x = w + 13; g = o + 10; h = a + 11; l = b + 15; k = 9; t = r + 11; w = g + 1; r = k + 8. If k = 9, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"u": "k + 2", "h": "u + 12", "f": "h + 1", "z": "f + 8", "p": "z + 5", "q": "p + 2", "x": "k + 15", "i": "x + 7", "c": "i + 11", "y": "c + 17", "n": "y + 11", "r": "n + 10", "k": 9}, "premises": {"k": 9}, "target": "q"}, "answer": {"steps": [["p", "z + 5", "z + 7"], ["z", "f + 8", "f + 15"], ["f", "h + 1", "h + 16"], ["h", "u + 12", "u + 28"], ["u", "k + 2", "k + 30"], ["k", 9, "39"]], "target_var_name": "q", "target_value": 39, "value_dict": {"k": 9}, "is_reverse": true}} | 18,332 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = y + 11; z = f + 8; x = k + 15; r = n + 10; i = x + 7; h = u + 12; k = 9; f = h + 1; y = c + 17; q = p + 2; p = z + 5; u = k + 2; c = i + 11. If k = 9, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 39,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = z + 5 to q, which gives q = z + 7.\n2. Substitute z = f + 8 to q, which gives q = f + 15.\n3. Substitute f = h + 1 to q, which gives q = h + 16.\n4. Substitute h = u + 12 to q, which gives q = u + 28.\n5. Substitute u = k + 2 to q, which gives q = k + 30.\n6. Substitute k = 9 to q, which gives q = 39.\n\nThus, the final answer is q = \\boxed{39}.",
"index": 18332,
"question": "Consider a system of variables where each variable is defined as follows: n = y + 11; z = f + 8; x = k + 15; r = n + 10; i = x + 7; h = u + 12; k = 9; f = h + 1; y = c + 17; q = p + 2; p = z + 5; u = k + 2; c = i + 11. If k = 9, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"l": "f + 6", "g": "l + 3", "x": "g + 10", "s": "x + 2", "y": "s + 13", "u": "y + 6", "p": "f + 12", "o": "p + 1", "m": "o + 17", "w": "m + 9", "n": "w + 19", "e": "n + 2", "f": 9}, "premises": {"f": 9}, "target": "u"}, "answer": {"steps": [["y", "s + 13", "s + 19"], ["s", "x + 2", "x + 21"], ["x", "g + 10", "g + 31"], ["g", "l + 3", "l + 34"], ["l", "f + 6", "f + 40"], ["f", 9, "49"]], "target_var_name": "u", "target_value": 49, "value_dict": {"f": 9}, "is_reverse": true}} | 18,333 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = 9; w = m + 9; e = n + 2; l = f + 6; m = o + 17; g = l + 3; n = w + 19; s = x + 2; y = s + 13; u = y + 6; x = g + 10; o = p + 1; p = f + 12. Given that f = 9, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = s + 13 to u, which gives u = s + 19.\n2. Substitute s = x + 2 to u, which gives u = x + 21.\n3. Substitute x = g + 10 to u, which gives u = g + 31.\n4. Substitute g = l + 3 to u, which gives u = l + 34.\n5. Substitute l = f + 6 to u, which gives u = f + 40.\n6. Substitute f = 9 to u, which gives u = 49.\n\nThus, the final answer is u = \\boxed{49}.",
"index": 18333,
"question": "Suppose a collection of variables is related by the following definitions: f = 9; w = m + 9; e = n + 2; l = f + 6; m = o + 17; g = l + 3; n = w + 19; s = x + 2; y = s + 13; u = y + 6; x = g + 10; o = p + 1; p = f + 12. Given that f = 9, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"m": "v + 20", "j": "m + 10", "b": "j + 2", "t": "b + 14", "i": "t + 14", "p": "i + 20", "n": "v + 8", "d": "n + 19", "s": "d + 19", "k": "s + 5", "r": "k + 12", "g": "r + 19", "v": 2}, "premises": {"v": 2}, "target": "p"}, "answer": {"steps": [["i", "t + 14", "t + 34"], ["t", "b + 14", "b + 48"], ["b", "j + 2", "j + 50"], ["j", "m + 10", "m + 60"], ["m", "v + 20", "v + 80"], ["v", 2, "82"]], "target_var_name": "p", "target_value": 82, "value_dict": {"v": 2}, "is_reverse": true}} | 18,334 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = t + 14; k = s + 5; b = j + 2; j = m + 10; r = k + 12; g = r + 19; m = v + 20; d = n + 19; n = v + 8; p = i + 20; s = d + 19; v = 2; t = b + 14. If v = 2, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = t + 14 to p, which gives p = t + 34.\n2. Substitute t = b + 14 to p, which gives p = b + 48.\n3. Substitute b = j + 2 to p, which gives p = j + 50.\n4. Substitute j = m + 10 to p, which gives p = m + 60.\n5. Substitute m = v + 20 to p, which gives p = v + 80.\n6. Substitute v = 2 to p, which gives p = 82.\n\nThus, the final answer is p = \\boxed{82}.",
"index": 18334,
"question": "Consider a system of variables where each variable is defined as follows: i = t + 14; k = s + 5; b = j + 2; j = m + 10; r = k + 12; g = r + 19; m = v + 20; d = n + 19; n = v + 8; p = i + 20; s = d + 19; v = 2; t = b + 14. If v = 2, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"t": "v + 13", "u": "t + 18", "a": "u + 9", "e": "a + 20", "s": "e + 12", "b": "s + 18", "q": "v + 19", "m": "q + 6", "k": "m + 8", "y": "k + 18", "j": "y + 5", "h": "j + 11", "v": 13}, "premises": {"v": 13}, "target": "b"}, "answer": {"steps": [["s", "e + 12", "e + 30"], ["e", "a + 20", "a + 50"], ["a", "u + 9", "u + 59"], ["u", "t + 18", "t + 77"], ["t", "v + 13", "v + 90"], ["v", 13, "103"]], "target_var_name": "b", "target_value": 103, "value_dict": {"v": 13}, "is_reverse": true}} | 18,335 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = v + 19; b = s + 18; v = 13; h = j + 11; a = u + 9; t = v + 13; u = t + 18; j = y + 5; e = a + 20; s = e + 12; y = k + 18; m = q + 6; k = m + 8. Given that v = 13, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 103,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = e + 12 to b, which gives b = e + 30.\n2. Substitute e = a + 20 to b, which gives b = a + 50.\n3. Substitute a = u + 9 to b, which gives b = u + 59.\n4. Substitute u = t + 18 to b, which gives b = t + 77.\n5. Substitute t = v + 13 to b, which gives b = v + 90.\n6. Substitute v = 13 to b, which gives b = 103.\n\nThus, the final answer is b = \\boxed{103}.",
"index": 18335,
"question": "Suppose a collection of variables is related by the following definitions: q = v + 19; b = s + 18; v = 13; h = j + 11; a = u + 9; t = v + 13; u = t + 18; j = y + 5; e = a + 20; s = e + 12; y = k + 18; m = q + 6; k = m + 8. Given that v = 13, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"s": "x + 3", "w": "s + 10", "t": "w + 17", "q": "t + 6", "i": "q + 7", "a": "i + 20", "j": "x + 15", "y": "j + 1", "k": "y + 7", "l": "k + 9", "g": "l + 18", "n": "g + 9", "x": 16}, "premises": {"x": 16}, "target": "a"}, "answer": {"steps": [["i", "q + 7", "q + 27"], ["q", "t + 6", "t + 33"], ["t", "w + 17", "w + 50"], ["w", "s + 10", "s + 60"], ["s", "x + 3", "x + 63"], ["x", 16, "79"]], "target_var_name": "a", "target_value": 79, "value_dict": {"x": 16}, "is_reverse": true}} | 18,336 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = s + 10; x = 16; q = t + 6; s = x + 3; y = j + 1; i = q + 7; l = k + 9; a = i + 20; k = y + 7; g = l + 18; j = x + 15; n = g + 9; t = w + 17. Given that x = 16, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = q + 7 to a, which gives a = q + 27.\n2. Substitute q = t + 6 to a, which gives a = t + 33.\n3. Substitute t = w + 17 to a, which gives a = w + 50.\n4. Substitute w = s + 10 to a, which gives a = s + 60.\n5. Substitute s = x + 3 to a, which gives a = x + 63.\n6. Substitute x = 16 to a, which gives a = 79.\n\nThus, the final answer is a = \\boxed{79}.",
"index": 18336,
"question": "Suppose a collection of variables is related by the following definitions: w = s + 10; x = 16; q = t + 6; s = x + 3; y = j + 1; i = q + 7; l = k + 9; a = i + 20; k = y + 7; g = l + 18; j = x + 15; n = g + 9; t = w + 17. Given that x = 16, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"j": "w + 18", "e": "j + 18", "h": "e + 1", "o": "h + 19", "n": "o + 14", "f": "n + 1", "q": "w + 13", "y": "q + 5", "x": "y + 19", "b": "x + 15", "k": "b + 20", "a": "k + 1", "w": 10}, "premises": {"w": 10}, "target": "f"}, "answer": {"steps": [["n", "o + 14", "o + 15"], ["o", "h + 19", "h + 34"], ["h", "e + 1", "e + 35"], ["e", "j + 18", "j + 53"], ["j", "w + 18", "w + 71"], ["w", 10, "81"]], "target_var_name": "f", "target_value": 81, "value_dict": {"w": 10}, "is_reverse": true}} | 18,337 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = y + 19; f = n + 1; j = w + 18; n = o + 14; o = h + 19; b = x + 15; w = 10; h = e + 1; y = q + 5; q = w + 13; k = b + 20; a = k + 1; e = j + 18. If w = 10, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = o + 14 to f, which gives f = o + 15.\n2. Substitute o = h + 19 to f, which gives f = h + 34.\n3. Substitute h = e + 1 to f, which gives f = e + 35.\n4. Substitute e = j + 18 to f, which gives f = j + 53.\n5. Substitute j = w + 18 to f, which gives f = w + 71.\n6. Substitute w = 10 to f, which gives f = 81.\n\nThus, the final answer is f = \\boxed{81}.",
"index": 18337,
"question": "Consider a system of variables where each variable is defined as follows: x = y + 19; f = n + 1; j = w + 18; n = o + 14; o = h + 19; b = x + 15; w = 10; h = e + 1; y = q + 5; q = w + 13; k = b + 20; a = k + 1; e = j + 18. If w = 10, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"r": "g + 3", "a": "r + 10", "p": "a + 19", "d": "p + 20", "z": "d + 4", "n": "z + 2", "c": "g + 16", "f": "c + 10", "j": "f + 1", "k": "j + 18", "b": "k + 18", "e": "b + 4", "g": 18}, "premises": {"g": 18}, "target": "n"}, "answer": {"steps": [["z", "d + 4", "d + 6"], ["d", "p + 20", "p + 26"], ["p", "a + 19", "a + 45"], ["a", "r + 10", "r + 55"], ["r", "g + 3", "g + 58"], ["g", 18, "76"]], "target_var_name": "n", "target_value": 76, "value_dict": {"g": 18}, "is_reverse": true}} | 18,338 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = j + 18; d = p + 20; n = z + 2; r = g + 3; e = b + 4; a = r + 10; f = c + 10; j = f + 1; p = a + 19; c = g + 16; g = 18; b = k + 18; z = d + 4. If g = 18, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = d + 4 to n, which gives n = d + 6.\n2. Substitute d = p + 20 to n, which gives n = p + 26.\n3. Substitute p = a + 19 to n, which gives n = a + 45.\n4. Substitute a = r + 10 to n, which gives n = r + 55.\n5. Substitute r = g + 3 to n, which gives n = g + 58.\n6. Substitute g = 18 to n, which gives n = 76.\n\nThus, the final answer is n = \\boxed{76}.",
"index": 18338,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = j + 18; d = p + 20; n = z + 2; r = g + 3; e = b + 4; a = r + 10; f = c + 10; j = f + 1; p = a + 19; c = g + 16; g = 18; b = k + 18; z = d + 4. If g = 18, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"p": "m + 16", "i": "p + 4", "f": "i + 11", "r": "f + 2", "l": "r + 16", "d": "l + 8", "b": "m + 9", "v": "b + 20", "n": "v + 12", "s": "n + 12", "a": "s + 11", "x": "a + 8", "m": 1}, "premises": {"m": 1}, "target": "d"}, "answer": {"steps": [["l", "r + 16", "r + 24"], ["r", "f + 2", "f + 26"], ["f", "i + 11", "i + 37"], ["i", "p + 4", "p + 41"], ["p", "m + 16", "m + 57"], ["m", 1, "58"]], "target_var_name": "d", "target_value": 58, "value_dict": {"m": 1}, "is_reverse": true}} | 18,339 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = l + 8; f = i + 11; b = m + 9; n = v + 12; a = s + 11; s = n + 12; x = a + 8; r = f + 2; m = 1; l = r + 16; p = m + 16; v = b + 20; i = p + 4. Given that m = 1, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = r + 16 to d, which gives d = r + 24.\n2. Substitute r = f + 2 to d, which gives d = f + 26.\n3. Substitute f = i + 11 to d, which gives d = i + 37.\n4. Substitute i = p + 4 to d, which gives d = p + 41.\n5. Substitute p = m + 16 to d, which gives d = m + 57.\n6. Substitute m = 1 to d, which gives d = 58.\n\nThus, the final answer is d = \\boxed{58}.",
"index": 18339,
"question": "Suppose a collection of variables is related by the following definitions: d = l + 8; f = i + 11; b = m + 9; n = v + 12; a = s + 11; s = n + 12; x = a + 8; r = f + 2; m = 1; l = r + 16; p = m + 16; v = b + 20; i = p + 4. Given that m = 1, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"u": "c + 7", "i": "u + 2", "g": "i + 19", "f": "g + 13", "a": "f + 11", "q": "a + 1", "d": "c + 11", "l": "d + 14", "r": "l + 4", "x": "r + 11", "w": "x + 17", "p": "w + 13", "c": 2}, "premises": {"c": 2}, "target": "q"}, "answer": {"steps": [["a", "f + 11", "f + 12"], ["f", "g + 13", "g + 25"], ["g", "i + 19", "i + 44"], ["i", "u + 2", "u + 46"], ["u", "c + 7", "c + 53"], ["c", 2, "55"]], "target_var_name": "q", "target_value": 55, "value_dict": {"c": 2}, "is_reverse": true}} | 18,340 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = w + 13; x = r + 11; a = f + 11; w = x + 17; r = l + 4; q = a + 1; f = g + 13; g = i + 19; d = c + 11; l = d + 14; c = 2; u = c + 7; i = u + 2. If c = 2, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = f + 11 to q, which gives q = f + 12.\n2. Substitute f = g + 13 to q, which gives q = g + 25.\n3. Substitute g = i + 19 to q, which gives q = i + 44.\n4. Substitute i = u + 2 to q, which gives q = u + 46.\n5. Substitute u = c + 7 to q, which gives q = c + 53.\n6. Substitute c = 2 to q, which gives q = 55.\n\nThus, the final answer is q = \\boxed{55}.",
"index": 18340,
"question": "Consider a system of variables where each variable is defined as follows: p = w + 13; x = r + 11; a = f + 11; w = x + 17; r = l + 4; q = a + 1; f = g + 13; g = i + 19; d = c + 11; l = d + 14; c = 2; u = c + 7; i = u + 2. If c = 2, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"x": "l + 18", "b": "x + 7", "c": "b + 9", "v": "c + 4", "r": "v + 2", "n": "r + 3", "d": "l + 20", "m": "d + 9", "o": "m + 2", "f": "o + 5", "p": "f + 8", "t": "p + 1", "l": 15}, "premises": {"l": 15}, "target": "n"}, "answer": {"steps": [["r", "v + 2", "v + 5"], ["v", "c + 4", "c + 9"], ["c", "b + 9", "b + 18"], ["b", "x + 7", "x + 25"], ["x", "l + 18", "l + 43"], ["l", 15, "58"]], "target_var_name": "n", "target_value": 58, "value_dict": {"l": 15}, "is_reverse": true}} | 18,341 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = o + 5; x = l + 18; v = c + 4; r = v + 2; l = 15; n = r + 3; m = d + 9; p = f + 8; t = p + 1; d = l + 20; c = b + 9; o = m + 2; b = x + 7. If l = 15, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = v + 2 to n, which gives n = v + 5.\n2. Substitute v = c + 4 to n, which gives n = c + 9.\n3. Substitute c = b + 9 to n, which gives n = b + 18.\n4. Substitute b = x + 7 to n, which gives n = x + 25.\n5. Substitute x = l + 18 to n, which gives n = l + 43.\n6. Substitute l = 15 to n, which gives n = 58.\n\nThus, the final answer is n = \\boxed{58}.",
"index": 18341,
"question": "Consider a system of variables where each variable is defined as follows: f = o + 5; x = l + 18; v = c + 4; r = v + 2; l = 15; n = r + 3; m = d + 9; p = f + 8; t = p + 1; d = l + 20; c = b + 9; o = m + 2; b = x + 7. If l = 15, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"e": "s + 8", "d": "e + 10", "h": "d + 4", "r": "h + 5", "n": "r + 8", "c": "n + 2", "o": "s + 12", "w": "o + 15", "y": "w + 12", "f": "y + 19", "p": "f + 20", "b": "p + 16", "s": 4}, "premises": {"s": 4}, "target": "c"}, "answer": {"steps": [["n", "r + 8", "r + 10"], ["r", "h + 5", "h + 15"], ["h", "d + 4", "d + 19"], ["d", "e + 10", "e + 29"], ["e", "s + 8", "s + 37"], ["s", 4, "41"]], "target_var_name": "c", "target_value": 41, "value_dict": {"s": 4}, "is_reverse": true}} | 18,342 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = d + 4; d = e + 10; f = y + 19; y = w + 12; p = f + 20; e = s + 8; b = p + 16; s = 4; w = o + 15; o = s + 12; r = h + 5; n = r + 8; c = n + 2. If s = 4, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 41,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = r + 8 to c, which gives c = r + 10.\n2. Substitute r = h + 5 to c, which gives c = h + 15.\n3. Substitute h = d + 4 to c, which gives c = d + 19.\n4. Substitute d = e + 10 to c, which gives c = e + 29.\n5. Substitute e = s + 8 to c, which gives c = s + 37.\n6. Substitute s = 4 to c, which gives c = 41.\n\nThus, the final answer is c = \\boxed{41}.",
"index": 18342,
"question": "Consider a system of variables where each variable is defined as follows: h = d + 4; d = e + 10; f = y + 19; y = w + 12; p = f + 20; e = s + 8; b = p + 16; s = 4; w = o + 15; o = s + 12; r = h + 5; n = r + 8; c = n + 2. If s = 4, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"r": "a + 3", "b": "r + 15", "q": "b + 1", "k": "q + 17", "u": "k + 9", "g": "u + 12", "y": "a + 9", "f": "y + 9", "s": "f + 20", "h": "s + 4", "p": "h + 1", "e": "p + 18", "a": 16}, "premises": {"a": 16}, "target": "g"}, "answer": {"steps": [["u", "k + 9", "k + 21"], ["k", "q + 17", "q + 38"], ["q", "b + 1", "b + 39"], ["b", "r + 15", "r + 54"], ["r", "a + 3", "a + 57"], ["a", 16, "73"]], "target_var_name": "g", "target_value": 73, "value_dict": {"a": 16}, "is_reverse": true}} | 18,343 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = a + 9; k = q + 17; r = a + 3; a = 16; e = p + 18; g = u + 12; b = r + 15; q = b + 1; u = k + 9; h = s + 4; p = h + 1; s = f + 20; f = y + 9. If a = 16, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = k + 9 to g, which gives g = k + 21.\n2. Substitute k = q + 17 to g, which gives g = q + 38.\n3. Substitute q = b + 1 to g, which gives g = b + 39.\n4. Substitute b = r + 15 to g, which gives g = r + 54.\n5. Substitute r = a + 3 to g, which gives g = a + 57.\n6. Substitute a = 16 to g, which gives g = 73.\n\nThus, the final answer is g = \\boxed{73}.",
"index": 18343,
"question": "Consider a system of variables where each variable is defined as follows: y = a + 9; k = q + 17; r = a + 3; a = 16; e = p + 18; g = u + 12; b = r + 15; q = b + 1; u = k + 9; h = s + 4; p = h + 1; s = f + 20; f = y + 9. If a = 16, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"h": "o + 4", "x": "h + 17", "f": "x + 19", "a": "f + 18", "w": "a + 20", "r": "w + 15", "l": "o + 16", "e": "l + 2", "q": "e + 5", "k": "q + 7", "t": "k + 19", "u": "t + 16", "o": 16}, "premises": {"o": 16}, "target": "r"}, "answer": {"steps": [["w", "a + 20", "a + 35"], ["a", "f + 18", "f + 53"], ["f", "x + 19", "x + 72"], ["x", "h + 17", "h + 89"], ["h", "o + 4", "o + 93"], ["o", 16, "109"]], "target_var_name": "r", "target_value": 109, "value_dict": {"o": 16}, "is_reverse": true}} | 18,344 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = a + 20; h = o + 4; o = 16; r = w + 15; u = t + 16; k = q + 7; q = e + 5; t = k + 19; x = h + 17; l = o + 16; e = l + 2; a = f + 18; f = x + 19. If o = 16, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 109,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = a + 20 to r, which gives r = a + 35.\n2. Substitute a = f + 18 to r, which gives r = f + 53.\n3. Substitute f = x + 19 to r, which gives r = x + 72.\n4. Substitute x = h + 17 to r, which gives r = h + 89.\n5. Substitute h = o + 4 to r, which gives r = o + 93.\n6. Substitute o = 16 to r, which gives r = 109.\n\nThus, the final answer is r = \\boxed{109}.",
"index": 18344,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = a + 20; h = o + 4; o = 16; r = w + 15; u = t + 16; k = q + 7; q = e + 5; t = k + 19; x = h + 17; l = o + 16; e = l + 2; a = f + 18; f = x + 19. If o = 16, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"o": "b + 10", "e": "o + 3", "c": "e + 15", "m": "c + 8", "p": "m + 6", "x": "p + 11", "a": "b + 3", "h": "a + 3", "v": "h + 3", "g": "v + 14", "k": "g + 18", "s": "k + 15", "b": 19}, "premises": {"b": 19}, "target": "x"}, "answer": {"steps": [["p", "m + 6", "m + 17"], ["m", "c + 8", "c + 25"], ["c", "e + 15", "e + 40"], ["e", "o + 3", "o + 43"], ["o", "b + 10", "b + 53"], ["b", 19, "72"]], "target_var_name": "x", "target_value": 72, "value_dict": {"b": 19}, "is_reverse": true}} | 18,345 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = o + 3; h = a + 3; s = k + 15; v = h + 3; g = v + 14; a = b + 3; p = m + 6; b = 19; o = b + 10; m = c + 8; k = g + 18; c = e + 15; x = p + 11. Given that b = 19, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = m + 6 to x, which gives x = m + 17.\n2. Substitute m = c + 8 to x, which gives x = c + 25.\n3. Substitute c = e + 15 to x, which gives x = e + 40.\n4. Substitute e = o + 3 to x, which gives x = o + 43.\n5. Substitute o = b + 10 to x, which gives x = b + 53.\n6. Substitute b = 19 to x, which gives x = 72.\n\nThus, the final answer is x = \\boxed{72}.",
"index": 18345,
"question": "Suppose a collection of variables is related by the following definitions: e = o + 3; h = a + 3; s = k + 15; v = h + 3; g = v + 14; a = b + 3; p = m + 6; b = 19; o = b + 10; m = c + 8; k = g + 18; c = e + 15; x = p + 11. Given that b = 19, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"h": "z + 4", "p": "h + 14", "a": "p + 8", "e": "a + 1", "k": "e + 9", "d": "k + 9", "s": "z + 9", "t": "s + 15", "o": "t + 1", "g": "o + 12", "w": "g + 7", "f": "w + 15", "z": 9}, "premises": {"z": 9}, "target": "d"}, "answer": {"steps": [["k", "e + 9", "e + 18"], ["e", "a + 1", "a + 19"], ["a", "p + 8", "p + 27"], ["p", "h + 14", "h + 41"], ["h", "z + 4", "z + 45"], ["z", 9, "54"]], "target_var_name": "d", "target_value": 54, "value_dict": {"z": 9}, "is_reverse": true}} | 18,346 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = t + 1; p = h + 14; h = z + 4; z = 9; t = s + 15; e = a + 1; g = o + 12; s = z + 9; f = w + 15; d = k + 9; a = p + 8; w = g + 7; k = e + 9. If z = 9, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = e + 9 to d, which gives d = e + 18.\n2. Substitute e = a + 1 to d, which gives d = a + 19.\n3. Substitute a = p + 8 to d, which gives d = p + 27.\n4. Substitute p = h + 14 to d, which gives d = h + 41.\n5. Substitute h = z + 4 to d, which gives d = z + 45.\n6. Substitute z = 9 to d, which gives d = 54.\n\nThus, the final answer is d = \\boxed{54}.",
"index": 18346,
"question": "Consider a system of variables where each variable is defined as follows: o = t + 1; p = h + 14; h = z + 4; z = 9; t = s + 15; e = a + 1; g = o + 12; s = z + 9; f = w + 15; d = k + 9; a = p + 8; w = g + 7; k = e + 9. If z = 9, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"b": "g + 6", "p": "b + 5", "e": "p + 19", "u": "e + 5", "y": "u + 3", "f": "y + 17", "r": "g + 17", "i": "r + 17", "q": "i + 13", "j": "q + 9", "o": "j + 11", "k": "o + 3", "g": 1}, "premises": {"g": 1}, "target": "f"}, "answer": {"steps": [["y", "u + 3", "u + 20"], ["u", "e + 5", "e + 25"], ["e", "p + 19", "p + 44"], ["p", "b + 5", "b + 49"], ["b", "g + 6", "g + 55"], ["g", 1, "56"]], "target_var_name": "f", "target_value": 56, "value_dict": {"g": 1}, "is_reverse": true}} | 18,347 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = e + 5; j = q + 9; e = p + 19; q = i + 13; y = u + 3; o = j + 11; g = 1; p = b + 5; r = g + 17; k = o + 3; f = y + 17; b = g + 6; i = r + 17. If g = 1, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = u + 3 to f, which gives f = u + 20.\n2. Substitute u = e + 5 to f, which gives f = e + 25.\n3. Substitute e = p + 19 to f, which gives f = p + 44.\n4. Substitute p = b + 5 to f, which gives f = b + 49.\n5. Substitute b = g + 6 to f, which gives f = g + 55.\n6. Substitute g = 1 to f, which gives f = 56.\n\nThus, the final answer is f = \\boxed{56}.",
"index": 18347,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = e + 5; j = q + 9; e = p + 19; q = i + 13; y = u + 3; o = j + 11; g = 1; p = b + 5; r = g + 17; k = o + 3; f = y + 17; b = g + 6; i = r + 17. If g = 1, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"h": "a + 7", "v": "h + 19", "b": "v + 14", "m": "b + 7", "j": "m + 2", "c": "j + 18", "y": "a + 1", "i": "y + 10", "q": "i + 12", "e": "q + 1", "g": "e + 6", "s": "g + 9", "a": 11}, "premises": {"a": 11}, "target": "c"}, "answer": {"steps": [["j", "m + 2", "m + 20"], ["m", "b + 7", "b + 27"], ["b", "v + 14", "v + 41"], ["v", "h + 19", "h + 60"], ["h", "a + 7", "a + 67"], ["a", 11, "78"]], "target_var_name": "c", "target_value": 78, "value_dict": {"a": 11}, "is_reverse": true}} | 18,348 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = i + 12; j = m + 2; c = j + 18; b = v + 14; y = a + 1; a = 11; s = g + 9; i = y + 10; e = q + 1; g = e + 6; h = a + 7; m = b + 7; v = h + 19. Given that a = 11, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = m + 2 to c, which gives c = m + 20.\n2. Substitute m = b + 7 to c, which gives c = b + 27.\n3. Substitute b = v + 14 to c, which gives c = v + 41.\n4. Substitute v = h + 19 to c, which gives c = h + 60.\n5. Substitute h = a + 7 to c, which gives c = a + 67.\n6. Substitute a = 11 to c, which gives c = 78.\n\nThus, the final answer is c = \\boxed{78}.",
"index": 18348,
"question": "Suppose a collection of variables is related by the following definitions: q = i + 12; j = m + 2; c = j + 18; b = v + 14; y = a + 1; a = 11; s = g + 9; i = y + 10; e = q + 1; g = e + 6; h = a + 7; m = b + 7; v = h + 19. Given that a = 11, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"u": "x + 14", "r": "u + 12", "w": "r + 17", "e": "w + 1", "a": "e + 4", "b": "a + 1", "i": "x + 17", "h": "i + 18", "m": "h + 8", "p": "m + 4", "f": "p + 3", "c": "f + 18", "x": 18}, "premises": {"x": 18}, "target": "b"}, "answer": {"steps": [["a", "e + 4", "e + 5"], ["e", "w + 1", "w + 6"], ["w", "r + 17", "r + 23"], ["r", "u + 12", "u + 35"], ["u", "x + 14", "x + 49"], ["x", 18, "67"]], "target_var_name": "b", "target_value": 67, "value_dict": {"x": 18}, "is_reverse": true}} | 18,349 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = m + 4; b = a + 1; r = u + 12; i = x + 17; u = x + 14; x = 18; c = f + 18; w = r + 17; e = w + 1; m = h + 8; a = e + 4; f = p + 3; h = i + 18. If x = 18, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = e + 4 to b, which gives b = e + 5.\n2. Substitute e = w + 1 to b, which gives b = w + 6.\n3. Substitute w = r + 17 to b, which gives b = r + 23.\n4. Substitute r = u + 12 to b, which gives b = u + 35.\n5. Substitute u = x + 14 to b, which gives b = x + 49.\n6. Substitute x = 18 to b, which gives b = 67.\n\nThus, the final answer is b = \\boxed{67}.",
"index": 18349,
"question": "Consider a system of variables where each variable is defined as follows: p = m + 4; b = a + 1; r = u + 12; i = x + 17; u = x + 14; x = 18; c = f + 18; w = r + 17; e = w + 1; m = h + 8; a = e + 4; f = p + 3; h = i + 18. If x = 18, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"k": "a + 11", "l": "k + 5", "n": "l + 16", "v": "n + 3", "r": "v + 3", "d": "r + 2", "g": "a + 19", "h": "g + 5", "z": "h + 14", "u": "z + 18", "e": "u + 12", "i": "e + 12", "a": 15}, "premises": {"a": 15}, "target": "d"}, "answer": {"steps": [["r", "v + 3", "v + 5"], ["v", "n + 3", "n + 8"], ["n", "l + 16", "l + 24"], ["l", "k + 5", "k + 29"], ["k", "a + 11", "a + 40"], ["a", 15, "55"]], "target_var_name": "d", "target_value": 55, "value_dict": {"a": 15}, "is_reverse": true}} | 18,350 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = l + 16; l = k + 5; v = n + 3; e = u + 12; h = g + 5; i = e + 12; z = h + 14; k = a + 11; g = a + 19; r = v + 3; d = r + 2; a = 15; u = z + 18. Given that a = 15, 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 r = v + 3 to d, which gives d = v + 5.\n2. Substitute v = n + 3 to d, which gives d = n + 8.\n3. Substitute n = l + 16 to d, which gives d = l + 24.\n4. Substitute l = k + 5 to d, which gives d = k + 29.\n5. Substitute k = a + 11 to d, which gives d = a + 40.\n6. Substitute a = 15 to d, which gives d = 55.\n\nThus, the final answer is d = \\boxed{55}.",
"index": 18350,
"question": "Suppose a collection of variables is related by the following definitions: n = l + 16; l = k + 5; v = n + 3; e = u + 12; h = g + 5; i = e + 12; z = h + 14; k = a + 11; g = a + 19; r = v + 3; d = r + 2; a = 15; u = z + 18. Given that a = 15, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"a": "i + 2", "l": "a + 17", "j": "l + 7", "m": "j + 6", "q": "m + 14", "k": "q + 6", "y": "i + 6", "w": "y + 12", "p": "w + 9", "v": "p + 9", "u": "v + 10", "o": "u + 8", "i": 7}, "premises": {"i": 7}, "target": "k"}, "answer": {"steps": [["q", "m + 14", "m + 20"], ["m", "j + 6", "j + 26"], ["j", "l + 7", "l + 33"], ["l", "a + 17", "a + 50"], ["a", "i + 2", "i + 52"], ["i", 7, "59"]], "target_var_name": "k", "target_value": 59, "value_dict": {"i": 7}, "is_reverse": true}} | 18,351 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = a + 17; a = i + 2; o = u + 8; i = 7; q = m + 14; u = v + 10; v = p + 9; m = j + 6; j = l + 7; w = y + 12; p = w + 9; k = q + 6; y = i + 6. If i = 7, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = m + 14 to k, which gives k = m + 20.\n2. Substitute m = j + 6 to k, which gives k = j + 26.\n3. Substitute j = l + 7 to k, which gives k = l + 33.\n4. Substitute l = a + 17 to k, which gives k = a + 50.\n5. Substitute a = i + 2 to k, which gives k = i + 52.\n6. Substitute i = 7 to k, which gives k = 59.\n\nThus, the final answer is k = \\boxed{59}.",
"index": 18351,
"question": "Consider a system of variables where each variable is defined as follows: l = a + 17; a = i + 2; o = u + 8; i = 7; q = m + 14; u = v + 10; v = p + 9; m = j + 6; j = l + 7; w = y + 12; p = w + 9; k = q + 6; y = i + 6. If i = 7, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"m": "c + 7", "p": "m + 6", "t": "p + 10", "v": "t + 10", "k": "v + 8", "z": "k + 6", "x": "c + 10", "j": "x + 18", "q": "j + 16", "g": "q + 1", "e": "g + 17", "y": "e + 8", "c": 19}, "premises": {"c": 19}, "target": "z"}, "answer": {"steps": [["k", "v + 8", "v + 14"], ["v", "t + 10", "t + 24"], ["t", "p + 10", "p + 34"], ["p", "m + 6", "m + 40"], ["m", "c + 7", "c + 47"], ["c", 19, "66"]], "target_var_name": "z", "target_value": 66, "value_dict": {"c": 19}, "is_reverse": true}} | 18,352 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = x + 18; g = q + 1; k = v + 8; m = c + 7; p = m + 6; v = t + 10; x = c + 10; y = e + 8; t = p + 10; e = g + 17; q = j + 16; z = k + 6; c = 19. Given that c = 19, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = v + 8 to z, which gives z = v + 14.\n2. Substitute v = t + 10 to z, which gives z = t + 24.\n3. Substitute t = p + 10 to z, which gives z = p + 34.\n4. Substitute p = m + 6 to z, which gives z = m + 40.\n5. Substitute m = c + 7 to z, which gives z = c + 47.\n6. Substitute c = 19 to z, which gives z = 66.\n\nThus, the final answer is z = \\boxed{66}.",
"index": 18352,
"question": "Suppose a collection of variables is related by the following definitions: j = x + 18; g = q + 1; k = v + 8; m = c + 7; p = m + 6; v = t + 10; x = c + 10; y = e + 8; t = p + 10; e = g + 17; q = j + 16; z = k + 6; c = 19. Given that c = 19, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"p": "e + 8", "l": "p + 8", "w": "l + 10", "b": "w + 1", "c": "b + 3", "k": "c + 19", "s": "e + 15", "q": "s + 16", "o": "q + 10", "a": "o + 8", "f": "a + 7", "g": "f + 14", "e": 6}, "premises": {"e": 6}, "target": "k"}, "answer": {"steps": [["c", "b + 3", "b + 22"], ["b", "w + 1", "w + 23"], ["w", "l + 10", "l + 33"], ["l", "p + 8", "p + 41"], ["p", "e + 8", "e + 49"], ["e", 6, "55"]], "target_var_name": "k", "target_value": 55, "value_dict": {"e": 6}, "is_reverse": true}} | 18,353 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = a + 7; l = p + 8; k = c + 19; p = e + 8; w = l + 10; e = 6; c = b + 3; q = s + 16; s = e + 15; b = w + 1; o = q + 10; a = o + 8; g = f + 14. Given that e = 6, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = b + 3 to k, which gives k = b + 22.\n2. Substitute b = w + 1 to k, which gives k = w + 23.\n3. Substitute w = l + 10 to k, which gives k = l + 33.\n4. Substitute l = p + 8 to k, which gives k = p + 41.\n5. Substitute p = e + 8 to k, which gives k = e + 49.\n6. Substitute e = 6 to k, which gives k = 55.\n\nThus, the final answer is k = \\boxed{55}.",
"index": 18353,
"question": "Suppose a collection of variables is related by the following definitions: f = a + 7; l = p + 8; k = c + 19; p = e + 8; w = l + 10; e = 6; c = b + 3; q = s + 16; s = e + 15; b = w + 1; o = q + 10; a = o + 8; g = f + 14. Given that e = 6, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"n": "e + 7", "c": "n + 3", "r": "c + 7", "h": "r + 5", "b": "h + 19", "t": "b + 15", "d": "e + 9", "p": "d + 2", "q": "p + 18", "i": "q + 17", "l": "i + 4", "x": "l + 1", "e": 9}, "premises": {"e": 9}, "target": "t"}, "answer": {"steps": [["b", "h + 19", "h + 34"], ["h", "r + 5", "r + 39"], ["r", "c + 7", "c + 46"], ["c", "n + 3", "n + 49"], ["n", "e + 7", "e + 56"], ["e", 9, "65"]], "target_var_name": "t", "target_value": 65, "value_dict": {"e": 9}, "is_reverse": true}} | 18,354 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = d + 2; b = h + 19; c = n + 3; i = q + 17; t = b + 15; h = r + 5; l = i + 4; x = l + 1; q = p + 18; n = e + 7; e = 9; d = e + 9; r = c + 7. Given that e = 9, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = h + 19 to t, which gives t = h + 34.\n2. Substitute h = r + 5 to t, which gives t = r + 39.\n3. Substitute r = c + 7 to t, which gives t = c + 46.\n4. Substitute c = n + 3 to t, which gives t = n + 49.\n5. Substitute n = e + 7 to t, which gives t = e + 56.\n6. Substitute e = 9 to t, which gives t = 65.\n\nThus, the final answer is t = \\boxed{65}.",
"index": 18354,
"question": "Suppose a collection of variables is related by the following definitions: p = d + 2; b = h + 19; c = n + 3; i = q + 17; t = b + 15; h = r + 5; l = i + 4; x = l + 1; q = p + 18; n = e + 7; e = 9; d = e + 9; r = c + 7. Given that e = 9, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"c": "t + 8", "v": "c + 20", "j": "v + 3", "e": "j + 10", "z": "e + 16", "i": "z + 10", "u": "t + 7", "r": "u + 6", "q": "r + 12", "s": "q + 15", "y": "s + 10", "h": "y + 14", "t": 6}, "premises": {"t": 6}, "target": "i"}, "answer": {"steps": [["z", "e + 16", "e + 26"], ["e", "j + 10", "j + 36"], ["j", "v + 3", "v + 39"], ["v", "c + 20", "c + 59"], ["c", "t + 8", "t + 67"], ["t", 6, "73"]], "target_var_name": "i", "target_value": 73, "value_dict": {"t": 6}, "is_reverse": true}} | 18,355 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = 6; q = r + 12; h = y + 14; y = s + 10; z = e + 16; v = c + 20; c = t + 8; u = t + 7; j = v + 3; e = j + 10; r = u + 6; i = z + 10; s = q + 15. If t = 6, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = e + 16 to i, which gives i = e + 26.\n2. Substitute e = j + 10 to i, which gives i = j + 36.\n3. Substitute j = v + 3 to i, which gives i = v + 39.\n4. Substitute v = c + 20 to i, which gives i = c + 59.\n5. Substitute c = t + 8 to i, which gives i = t + 67.\n6. Substitute t = 6 to i, which gives i = 73.\n\nThus, the final answer is i = \\boxed{73}.",
"index": 18355,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = 6; q = r + 12; h = y + 14; y = s + 10; z = e + 16; v = c + 20; c = t + 8; u = t + 7; j = v + 3; e = j + 10; r = u + 6; i = z + 10; s = q + 15. If t = 6, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"m": "l + 1", "s": "m + 16", "a": "s + 14", "u": "a + 1", "o": "u + 8", "z": "o + 16", "t": "l + 18", "q": "t + 1", "k": "q + 17", "r": "k + 5", "j": "r + 9", "e": "j + 10", "l": 11}, "premises": {"l": 11}, "target": "z"}, "answer": {"steps": [["o", "u + 8", "u + 24"], ["u", "a + 1", "a + 25"], ["a", "s + 14", "s + 39"], ["s", "m + 16", "m + 55"], ["m", "l + 1", "l + 56"], ["l", 11, "67"]], "target_var_name": "z", "target_value": 67, "value_dict": {"l": 11}, "is_reverse": true}} | 18,356 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = k + 5; k = q + 17; m = l + 1; q = t + 1; a = s + 14; o = u + 8; t = l + 18; u = a + 1; e = j + 10; s = m + 16; j = r + 9; l = 11; z = o + 16. Given that l = 11, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = u + 8 to z, which gives z = u + 24.\n2. Substitute u = a + 1 to z, which gives z = a + 25.\n3. Substitute a = s + 14 to z, which gives z = s + 39.\n4. Substitute s = m + 16 to z, which gives z = m + 55.\n5. Substitute m = l + 1 to z, which gives z = l + 56.\n6. Substitute l = 11 to z, which gives z = 67.\n\nThus, the final answer is z = \\boxed{67}.",
"index": 18356,
"question": "Suppose a collection of variables is related by the following definitions: r = k + 5; k = q + 17; m = l + 1; q = t + 1; a = s + 14; o = u + 8; t = l + 18; u = a + 1; e = j + 10; s = m + 16; j = r + 9; l = 11; z = o + 16. Given that l = 11, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"z": "c + 17", "x": "z + 17", "v": "x + 3", "o": "v + 17", "b": "o + 6", "a": "b + 4", "t": "c + 2", "d": "t + 4", "r": "d + 5", "n": "r + 5", "e": "n + 3", "y": "e + 20", "c": 11}, "premises": {"c": 11}, "target": "a"}, "answer": {"steps": [["b", "o + 6", "o + 10"], ["o", "v + 17", "v + 27"], ["v", "x + 3", "x + 30"], ["x", "z + 17", "z + 47"], ["z", "c + 17", "c + 64"], ["c", 11, "75"]], "target_var_name": "a", "target_value": 75, "value_dict": {"c": 11}, "is_reverse": true}} | 18,357 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = x + 3; e = n + 3; y = e + 20; a = b + 4; t = c + 2; n = r + 5; x = z + 17; z = c + 17; c = 11; o = v + 17; d = t + 4; r = d + 5; b = o + 6. Given that c = 11, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = o + 6 to a, which gives a = o + 10.\n2. Substitute o = v + 17 to a, which gives a = v + 27.\n3. Substitute v = x + 3 to a, which gives a = x + 30.\n4. Substitute x = z + 17 to a, which gives a = z + 47.\n5. Substitute z = c + 17 to a, which gives a = c + 64.\n6. Substitute c = 11 to a, which gives a = 75.\n\nThus, the final answer is a = \\boxed{75}.",
"index": 18357,
"question": "Suppose a collection of variables is related by the following definitions: v = x + 3; e = n + 3; y = e + 20; a = b + 4; t = c + 2; n = r + 5; x = z + 17; z = c + 17; c = 11; o = v + 17; d = t + 4; r = d + 5; b = o + 6. Given that c = 11, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"o": "h + 16", "u": "o + 16", "t": "u + 6", "p": "t + 20", "q": "p + 1", "k": "q + 4", "i": "h + 3", "m": "i + 9", "r": "m + 14", "j": "r + 8", "f": "j + 12", "c": "f + 13", "h": 14}, "premises": {"h": 14}, "target": "k"}, "answer": {"steps": [["q", "p + 1", "p + 5"], ["p", "t + 20", "t + 25"], ["t", "u + 6", "u + 31"], ["u", "o + 16", "o + 47"], ["o", "h + 16", "h + 63"], ["h", 14, "77"]], "target_var_name": "k", "target_value": 77, "value_dict": {"h": 14}, "is_reverse": true}} | 18,358 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = h + 16; k = q + 4; p = t + 20; i = h + 3; t = u + 6; q = p + 1; u = o + 16; c = f + 13; f = j + 12; j = r + 8; r = m + 14; h = 14; m = i + 9. Given that h = 14, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = p + 1 to k, which gives k = p + 5.\n2. Substitute p = t + 20 to k, which gives k = t + 25.\n3. Substitute t = u + 6 to k, which gives k = u + 31.\n4. Substitute u = o + 16 to k, which gives k = o + 47.\n5. Substitute o = h + 16 to k, which gives k = h + 63.\n6. Substitute h = 14 to k, which gives k = 77.\n\nThus, the final answer is k = \\boxed{77}.",
"index": 18358,
"question": "Suppose a collection of variables is related by the following definitions: o = h + 16; k = q + 4; p = t + 20; i = h + 3; t = u + 6; q = p + 1; u = o + 16; c = f + 13; f = j + 12; j = r + 8; r = m + 14; h = 14; m = i + 9. Given that h = 14, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"l": "f + 1", "o": "l + 9", "x": "o + 12", "a": "x + 19", "w": "a + 6", "e": "w + 3", "d": "f + 3", "u": "d + 2", "g": "u + 6", "p": "g + 12", "r": "p + 2", "z": "r + 12", "f": 11}, "premises": {"f": 11}, "target": "e"}, "answer": {"steps": [["w", "a + 6", "a + 9"], ["a", "x + 19", "x + 28"], ["x", "o + 12", "o + 40"], ["o", "l + 9", "l + 49"], ["l", "f + 1", "f + 50"], ["f", 11, "61"]], "target_var_name": "e", "target_value": 61, "value_dict": {"f": 11}, "is_reverse": true}} | 18,359 | 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 = x + 19; g = u + 6; w = a + 6; x = o + 12; e = w + 3; r = p + 2; u = d + 2; z = r + 12; l = f + 1; d = f + 3; o = l + 9; p = g + 12; f = 11. If f = 11, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = a + 6 to e, which gives e = a + 9.\n2. Substitute a = x + 19 to e, which gives e = x + 28.\n3. Substitute x = o + 12 to e, which gives e = o + 40.\n4. Substitute o = l + 9 to e, which gives e = l + 49.\n5. Substitute l = f + 1 to e, which gives e = f + 50.\n6. Substitute f = 11 to e, which gives e = 61.\n\nThus, the final answer is e = \\boxed{61}.",
"index": 18359,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = x + 19; g = u + 6; w = a + 6; x = o + 12; e = w + 3; r = p + 2; u = d + 2; z = r + 12; l = f + 1; d = f + 3; o = l + 9; p = g + 12; f = 11. If f = 11, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"c": "m + 10", "g": "c + 9", "k": "g + 15", "j": "k + 11", "e": "j + 6", "b": "e + 20", "d": "m + 11", "f": "d + 10", "v": "f + 16", "o": "v + 1", "r": "o + 11", "p": "r + 4", "m": 4}, "premises": {"m": 4}, "target": "b"}, "answer": {"steps": [["e", "j + 6", "j + 26"], ["j", "k + 11", "k + 37"], ["k", "g + 15", "g + 52"], ["g", "c + 9", "c + 61"], ["c", "m + 10", "m + 71"], ["m", 4, "75"]], "target_var_name": "b", "target_value": 75, "value_dict": {"m": 4}, "is_reverse": true}} | 18,360 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = f + 16; b = e + 20; k = g + 15; c = m + 10; g = c + 9; e = j + 6; r = o + 11; m = 4; f = d + 10; d = m + 11; p = r + 4; j = k + 11; o = v + 1. If m = 4, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = j + 6 to b, which gives b = j + 26.\n2. Substitute j = k + 11 to b, which gives b = k + 37.\n3. Substitute k = g + 15 to b, which gives b = g + 52.\n4. Substitute g = c + 9 to b, which gives b = c + 61.\n5. Substitute c = m + 10 to b, which gives b = m + 71.\n6. Substitute m = 4 to b, which gives b = 75.\n\nThus, the final answer is b = \\boxed{75}.",
"index": 18360,
"question": "Consider a system of variables where each variable is defined as follows: v = f + 16; b = e + 20; k = g + 15; c = m + 10; g = c + 9; e = j + 6; r = o + 11; m = 4; f = d + 10; d = m + 11; p = r + 4; j = k + 11; o = v + 1. If m = 4, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"h": "y + 1", "d": "h + 4", "w": "d + 17", "c": "w + 7", "q": "c + 1", "g": "q + 4", "t": "y + 7", "f": "t + 2", "m": "f + 16", "u": "m + 8", "n": "u + 13", "b": "n + 16", "y": 5}, "premises": {"y": 5}, "target": "g"}, "answer": {"steps": [["q", "c + 1", "c + 5"], ["c", "w + 7", "w + 12"], ["w", "d + 17", "d + 29"], ["d", "h + 4", "h + 33"], ["h", "y + 1", "y + 34"], ["y", 5, "39"]], "target_var_name": "g", "target_value": 39, "value_dict": {"y": 5}, "is_reverse": true}} | 18,361 | 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 = w + 7; u = m + 8; h = y + 1; b = n + 16; t = y + 7; d = h + 4; g = q + 4; q = c + 1; w = d + 17; y = 5; f = t + 2; m = f + 16; n = u + 13. If y = 5, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 39,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = c + 1 to g, which gives g = c + 5.\n2. Substitute c = w + 7 to g, which gives g = w + 12.\n3. Substitute w = d + 17 to g, which gives g = d + 29.\n4. Substitute d = h + 4 to g, which gives g = h + 33.\n5. Substitute h = y + 1 to g, which gives g = y + 34.\n6. Substitute y = 5 to g, which gives g = 39.\n\nThus, the final answer is g = \\boxed{39}.",
"index": 18361,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = w + 7; u = m + 8; h = y + 1; b = n + 16; t = y + 7; d = h + 4; g = q + 4; q = c + 1; w = d + 17; y = 5; f = t + 2; m = f + 16; n = u + 13. If y = 5, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"w": "p + 3", "y": "w + 9", "d": "y + 3", "b": "d + 5", "x": "b + 2", "z": "x + 1", "a": "p + 14", "j": "a + 2", "r": "j + 10", "t": "r + 10", "o": "t + 4", "l": "o + 12", "p": 10}, "premises": {"p": 10}, "target": "z"}, "answer": {"steps": [["x", "b + 2", "b + 3"], ["b", "d + 5", "d + 8"], ["d", "y + 3", "y + 11"], ["y", "w + 9", "w + 20"], ["w", "p + 3", "p + 23"], ["p", 10, "33"]], "target_var_name": "z", "target_value": 33, "value_dict": {"p": 10}, "is_reverse": true}} | 18,362 | 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 = j + 10; x = b + 2; p = 10; t = r + 10; b = d + 5; d = y + 3; z = x + 1; l = o + 12; a = p + 14; j = a + 2; o = t + 4; y = w + 9; w = p + 3. If p = 10, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 33,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = b + 2 to z, which gives z = b + 3.\n2. Substitute b = d + 5 to z, which gives z = d + 8.\n3. Substitute d = y + 3 to z, which gives z = y + 11.\n4. Substitute y = w + 9 to z, which gives z = w + 20.\n5. Substitute w = p + 3 to z, which gives z = p + 23.\n6. Substitute p = 10 to z, which gives z = 33.\n\nThus, the final answer is z = \\boxed{33}.",
"index": 18362,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = j + 10; x = b + 2; p = 10; t = r + 10; b = d + 5; d = y + 3; z = x + 1; l = o + 12; a = p + 14; j = a + 2; o = t + 4; y = w + 9; w = p + 3. If p = 10, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"g": "p + 9", "c": "g + 20", "b": "c + 18", "d": "b + 17", "t": "d + 6", "x": "t + 5", "j": "p + 18", "r": "j + 2", "y": "r + 20", "e": "y + 10", "q": "e + 9", "w": "q + 16", "p": 10}, "premises": {"p": 10}, "target": "x"}, "answer": {"steps": [["t", "d + 6", "d + 11"], ["d", "b + 17", "b + 28"], ["b", "c + 18", "c + 46"], ["c", "g + 20", "g + 66"], ["g", "p + 9", "p + 75"], ["p", 10, "85"]], "target_var_name": "x", "target_value": 85, "value_dict": {"p": 10}, "is_reverse": true}} | 18,363 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = q + 16; g = p + 9; d = b + 17; q = e + 9; r = j + 2; e = y + 10; x = t + 5; b = c + 18; j = p + 18; y = r + 20; p = 10; c = g + 20; t = d + 6. Given that p = 10, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = d + 6 to x, which gives x = d + 11.\n2. Substitute d = b + 17 to x, which gives x = b + 28.\n3. Substitute b = c + 18 to x, which gives x = c + 46.\n4. Substitute c = g + 20 to x, which gives x = g + 66.\n5. Substitute g = p + 9 to x, which gives x = p + 75.\n6. Substitute p = 10 to x, which gives x = 85.\n\nThus, the final answer is x = \\boxed{85}.",
"index": 18363,
"question": "Suppose a collection of variables is related by the following definitions: w = q + 16; g = p + 9; d = b + 17; q = e + 9; r = j + 2; e = y + 10; x = t + 5; b = c + 18; j = p + 18; y = r + 20; p = 10; c = g + 20; t = d + 6. Given that p = 10, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"f": "h + 3", "d": "f + 12", "j": "d + 10", "u": "j + 6", "i": "u + 18", "a": "i + 17", "y": "h + 3", "n": "y + 9", "t": "n + 1", "s": "t + 9", "w": "s + 5", "p": "w + 1", "h": 1}, "premises": {"h": 1}, "target": "a"}, "answer": {"steps": [["i", "u + 18", "u + 35"], ["u", "j + 6", "j + 41"], ["j", "d + 10", "d + 51"], ["d", "f + 12", "f + 63"], ["f", "h + 3", "h + 66"], ["h", 1, "67"]], "target_var_name": "a", "target_value": 67, "value_dict": {"h": 1}, "is_reverse": true}} | 18,364 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = i + 17; u = j + 6; h = 1; d = f + 12; y = h + 3; f = h + 3; p = w + 1; w = s + 5; i = u + 18; n = y + 9; s = t + 9; t = n + 1; j = d + 10. If h = 1, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = u + 18 to a, which gives a = u + 35.\n2. Substitute u = j + 6 to a, which gives a = j + 41.\n3. Substitute j = d + 10 to a, which gives a = d + 51.\n4. Substitute d = f + 12 to a, which gives a = f + 63.\n5. Substitute f = h + 3 to a, which gives a = h + 66.\n6. Substitute h = 1 to a, which gives a = 67.\n\nThus, the final answer is a = \\boxed{67}.",
"index": 18364,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = i + 17; u = j + 6; h = 1; d = f + 12; y = h + 3; f = h + 3; p = w + 1; w = s + 5; i = u + 18; n = y + 9; s = t + 9; t = n + 1; j = d + 10. If h = 1, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"t": "w + 1", "k": "t + 17", "q": "k + 3", "y": "q + 11", "e": "y + 10", "j": "e + 10", "g": "w + 7", "m": "g + 9", "h": "m + 6", "p": "h + 6", "f": "p + 14", "o": "f + 11", "w": 9}, "premises": {"w": 9}, "target": "j"}, "answer": {"steps": [["e", "y + 10", "y + 20"], ["y", "q + 11", "q + 31"], ["q", "k + 3", "k + 34"], ["k", "t + 17", "t + 51"], ["t", "w + 1", "w + 52"], ["w", 9, "61"]], "target_var_name": "j", "target_value": 61, "value_dict": {"w": 9}, "is_reverse": true}} | 18,365 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = f + 11; q = k + 3; t = w + 1; p = h + 6; j = e + 10; e = y + 10; k = t + 17; y = q + 11; f = p + 14; h = m + 6; g = w + 7; w = 9; m = g + 9. Given that w = 9, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = y + 10 to j, which gives j = y + 20.\n2. Substitute y = q + 11 to j, which gives j = q + 31.\n3. Substitute q = k + 3 to j, which gives j = k + 34.\n4. Substitute k = t + 17 to j, which gives j = t + 51.\n5. Substitute t = w + 1 to j, which gives j = w + 52.\n6. Substitute w = 9 to j, which gives j = 61.\n\nThus, the final answer is j = \\boxed{61}.",
"index": 18365,
"question": "Suppose a collection of variables is related by the following definitions: o = f + 11; q = k + 3; t = w + 1; p = h + 6; j = e + 10; e = y + 10; k = t + 17; y = q + 11; f = p + 14; h = m + 6; g = w + 7; w = 9; m = g + 9. Given that w = 9, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"h": "c + 15", "q": "h + 1", "e": "q + 15", "z": "e + 4", "f": "z + 16", "t": "f + 8", "l": "c + 8", "x": "l + 15", "j": "x + 14", "v": "j + 9", "y": "v + 2", "o": "y + 11", "c": 9}, "premises": {"c": 9}, "target": "t"}, "answer": {"steps": [["f", "z + 16", "z + 24"], ["z", "e + 4", "e + 28"], ["e", "q + 15", "q + 43"], ["q", "h + 1", "h + 44"], ["h", "c + 15", "c + 59"], ["c", 9, "68"]], "target_var_name": "t", "target_value": 68, "value_dict": {"c": 9}, "is_reverse": true}} | 18,366 | 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 = q + 15; x = l + 15; f = z + 16; h = c + 15; c = 9; o = y + 11; z = e + 4; y = v + 2; t = f + 8; v = j + 9; j = x + 14; q = h + 1; l = c + 8. If c = 9, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = z + 16 to t, which gives t = z + 24.\n2. Substitute z = e + 4 to t, which gives t = e + 28.\n3. Substitute e = q + 15 to t, which gives t = q + 43.\n4. Substitute q = h + 1 to t, which gives t = h + 44.\n5. Substitute h = c + 15 to t, which gives t = c + 59.\n6. Substitute c = 9 to t, which gives t = 68.\n\nThus, the final answer is t = \\boxed{68}.",
"index": 18366,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = q + 15; x = l + 15; f = z + 16; h = c + 15; c = 9; o = y + 11; z = e + 4; y = v + 2; t = f + 8; v = j + 9; j = x + 14; q = h + 1; l = c + 8. If c = 9, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"j": "q + 8", "h": "j + 20", "p": "h + 7", "f": "p + 14", "z": "f + 8", "y": "z + 2", "s": "q + 16", "t": "s + 17", "l": "t + 10", "r": "l + 10", "a": "r + 20", "m": "a + 19", "q": 9}, "premises": {"q": 9}, "target": "y"}, "answer": {"steps": [["z", "f + 8", "f + 10"], ["f", "p + 14", "p + 24"], ["p", "h + 7", "h + 31"], ["h", "j + 20", "j + 51"], ["j", "q + 8", "q + 59"], ["q", 9, "68"]], "target_var_name": "y", "target_value": 68, "value_dict": {"q": 9}, "is_reverse": true}} | 18,367 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = h + 7; l = t + 10; a = r + 20; f = p + 14; z = f + 8; r = l + 10; q = 9; m = a + 19; t = s + 17; j = q + 8; s = q + 16; y = z + 2; h = j + 20. If q = 9, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = f + 8 to y, which gives y = f + 10.\n2. Substitute f = p + 14 to y, which gives y = p + 24.\n3. Substitute p = h + 7 to y, which gives y = h + 31.\n4. Substitute h = j + 20 to y, which gives y = j + 51.\n5. Substitute j = q + 8 to y, which gives y = q + 59.\n6. Substitute q = 9 to y, which gives y = 68.\n\nThus, the final answer is y = \\boxed{68}.",
"index": 18367,
"question": "Consider a system of variables where each variable is defined as follows: p = h + 7; l = t + 10; a = r + 20; f = p + 14; z = f + 8; r = l + 10; q = 9; m = a + 19; t = s + 17; j = q + 8; s = q + 16; y = z + 2; h = j + 20. If q = 9, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"e": "l + 1", "m": "e + 10", "x": "m + 19", "j": "x + 2", "h": "j + 18", "p": "h + 8", "r": "l + 3", "o": "r + 1", "t": "o + 7", "g": "t + 18", "z": "g + 7", "w": "z + 4", "l": 16}, "premises": {"l": 16}, "target": "p"}, "answer": {"steps": [["h", "j + 18", "j + 26"], ["j", "x + 2", "x + 28"], ["x", "m + 19", "m + 47"], ["m", "e + 10", "e + 57"], ["e", "l + 1", "l + 58"], ["l", 16, "74"]], "target_var_name": "p", "target_value": 74, "value_dict": {"l": 16}, "is_reverse": true}} | 18,368 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = x + 2; o = r + 1; r = l + 3; w = z + 4; x = m + 19; z = g + 7; t = o + 7; m = e + 10; l = 16; h = j + 18; p = h + 8; e = l + 1; g = t + 18. If l = 16, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = j + 18 to p, which gives p = j + 26.\n2. Substitute j = x + 2 to p, which gives p = x + 28.\n3. Substitute x = m + 19 to p, which gives p = m + 47.\n4. Substitute m = e + 10 to p, which gives p = e + 57.\n5. Substitute e = l + 1 to p, which gives p = l + 58.\n6. Substitute l = 16 to p, which gives p = 74.\n\nThus, the final answer is p = \\boxed{74}.",
"index": 18368,
"question": "Consider a system of variables where each variable is defined as follows: j = x + 2; o = r + 1; r = l + 3; w = z + 4; x = m + 19; z = g + 7; t = o + 7; m = e + 10; l = 16; h = j + 18; p = h + 8; e = l + 1; g = t + 18. If l = 16, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"l": "x + 13", "y": "l + 15", "k": "y + 10", "h": "k + 14", "t": "h + 20", "d": "t + 16", "m": "x + 10", "j": "m + 10", "n": "j + 17", "i": "n + 6", "b": "i + 14", "f": "b + 10", "x": 7}, "premises": {"x": 7}, "target": "d"}, "answer": {"steps": [["t", "h + 20", "h + 36"], ["h", "k + 14", "k + 50"], ["k", "y + 10", "y + 60"], ["y", "l + 15", "l + 75"], ["l", "x + 13", "x + 88"], ["x", 7, "95"]], "target_var_name": "d", "target_value": 95, "value_dict": {"x": 7}, "is_reverse": true}} | 18,369 | 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 = 7; n = j + 17; h = k + 14; t = h + 20; f = b + 10; m = x + 10; d = t + 16; i = n + 6; y = l + 15; b = i + 14; j = m + 10; k = y + 10; l = x + 13. If x = 7, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = h + 20 to d, which gives d = h + 36.\n2. Substitute h = k + 14 to d, which gives d = k + 50.\n3. Substitute k = y + 10 to d, which gives d = y + 60.\n4. Substitute y = l + 15 to d, which gives d = l + 75.\n5. Substitute l = x + 13 to d, which gives d = x + 88.\n6. Substitute x = 7 to d, which gives d = 95.\n\nThus, the final answer is d = \\boxed{95}.",
"index": 18369,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = 7; n = j + 17; h = k + 14; t = h + 20; f = b + 10; m = x + 10; d = t + 16; i = n + 6; y = l + 15; b = i + 14; j = m + 10; k = y + 10; l = x + 13. If x = 7, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"p": "y + 2", "x": "p + 9", "u": "x + 7", "b": "u + 5", "a": "b + 6", "v": "a + 18", "f": "y + 8", "l": "f + 17", "j": "l + 17", "c": "j + 6", "w": "c + 15", "e": "w + 2", "y": 16}, "premises": {"y": 16}, "target": "v"}, "answer": {"steps": [["a", "b + 6", "b + 24"], ["b", "u + 5", "u + 29"], ["u", "x + 7", "x + 36"], ["x", "p + 9", "p + 45"], ["p", "y + 2", "y + 47"], ["y", 16, "63"]], "target_var_name": "v", "target_value": 63, "value_dict": {"y": 16}, "is_reverse": true}} | 18,370 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = y + 8; c = j + 6; y = 16; p = y + 2; a = b + 6; b = u + 5; v = a + 18; x = p + 9; j = l + 17; u = x + 7; e = w + 2; l = f + 17; w = c + 15. Given that y = 16, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = b + 6 to v, which gives v = b + 24.\n2. Substitute b = u + 5 to v, which gives v = u + 29.\n3. Substitute u = x + 7 to v, which gives v = x + 36.\n4. Substitute x = p + 9 to v, which gives v = p + 45.\n5. Substitute p = y + 2 to v, which gives v = y + 47.\n6. Substitute y = 16 to v, which gives v = 63.\n\nThus, the final answer is v = \\boxed{63}.",
"index": 18370,
"question": "Suppose a collection of variables is related by the following definitions: f = y + 8; c = j + 6; y = 16; p = y + 2; a = b + 6; b = u + 5; v = a + 18; x = p + 9; j = l + 17; u = x + 7; e = w + 2; l = f + 17; w = c + 15. Given that y = 16, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"r": "p + 4", "m": "r + 3", "i": "m + 7", "t": "i + 19", "k": "t + 17", "x": "k + 10", "b": "p + 17", "a": "b + 1", "u": "a + 9", "w": "u + 7", "h": "w + 20", "g": "h + 19", "p": 3}, "premises": {"p": 3}, "target": "x"}, "answer": {"steps": [["k", "t + 17", "t + 27"], ["t", "i + 19", "i + 46"], ["i", "m + 7", "m + 53"], ["m", "r + 3", "r + 56"], ["r", "p + 4", "p + 60"], ["p", 3, "63"]], "target_var_name": "x", "target_value": 63, "value_dict": {"p": 3}, "is_reverse": true}} | 18,371 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = w + 20; m = r + 3; p = 3; k = t + 17; u = a + 9; a = b + 1; g = h + 19; w = u + 7; t = i + 19; r = p + 4; b = p + 17; x = k + 10; i = m + 7. Given that p = 3, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = t + 17 to x, which gives x = t + 27.\n2. Substitute t = i + 19 to x, which gives x = i + 46.\n3. Substitute i = m + 7 to x, which gives x = m + 53.\n4. Substitute m = r + 3 to x, which gives x = r + 56.\n5. Substitute r = p + 4 to x, which gives x = p + 60.\n6. Substitute p = 3 to x, which gives x = 63.\n\nThus, the final answer is x = \\boxed{63}.",
"index": 18371,
"question": "Suppose a collection of variables is related by the following definitions: h = w + 20; m = r + 3; p = 3; k = t + 17; u = a + 9; a = b + 1; g = h + 19; w = u + 7; t = i + 19; r = p + 4; b = p + 17; x = k + 10; i = m + 7. Given that p = 3, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"x": "q + 20", "h": "x + 9", "g": "h + 13", "z": "g + 5", "c": "z + 19", "o": "c + 13", "u": "q + 5", "f": "u + 12", "a": "f + 19", "e": "a + 6", "m": "e + 19", "p": "m + 15", "q": 1}, "premises": {"q": 1}, "target": "o"}, "answer": {"steps": [["c", "z + 19", "z + 32"], ["z", "g + 5", "g + 37"], ["g", "h + 13", "h + 50"], ["h", "x + 9", "x + 59"], ["x", "q + 20", "q + 79"], ["q", 1, "80"]], "target_var_name": "o", "target_value": 80, "value_dict": {"q": 1}, "is_reverse": true}} | 18,372 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = c + 13; q = 1; u = q + 5; h = x + 9; c = z + 19; g = h + 13; m = e + 19; e = a + 6; x = q + 20; z = g + 5; p = m + 15; a = f + 19; f = u + 12. Given that q = 1, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = z + 19 to o, which gives o = z + 32.\n2. Substitute z = g + 5 to o, which gives o = g + 37.\n3. Substitute g = h + 13 to o, which gives o = h + 50.\n4. Substitute h = x + 9 to o, which gives o = x + 59.\n5. Substitute x = q + 20 to o, which gives o = q + 79.\n6. Substitute q = 1 to o, which gives o = 80.\n\nThus, the final answer is o = \\boxed{80}.",
"index": 18372,
"question": "Suppose a collection of variables is related by the following definitions: o = c + 13; q = 1; u = q + 5; h = x + 9; c = z + 19; g = h + 13; m = e + 19; e = a + 6; x = q + 20; z = g + 5; p = m + 15; a = f + 19; f = u + 12. Given that q = 1, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"c": "g + 4", "k": "c + 11", "f": "k + 3", "y": "f + 5", "x": "y + 20", "d": "x + 17", "o": "g + 10", "e": "o + 5", "n": "e + 8", "v": "n + 13", "w": "v + 16", "t": "w + 3", "g": 13}, "premises": {"g": 13}, "target": "d"}, "answer": {"steps": [["x", "y + 20", "y + 37"], ["y", "f + 5", "f + 42"], ["f", "k + 3", "k + 45"], ["k", "c + 11", "c + 56"], ["c", "g + 4", "g + 60"], ["g", 13, "73"]], "target_var_name": "d", "target_value": 73, "value_dict": {"g": 13}, "is_reverse": true}} | 18,373 | 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 = y + 20; t = w + 3; y = f + 5; k = c + 11; o = g + 10; v = n + 13; f = k + 3; e = o + 5; n = e + 8; g = 13; w = v + 16; d = x + 17; c = g + 4. If g = 13, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = y + 20 to d, which gives d = y + 37.\n2. Substitute y = f + 5 to d, which gives d = f + 42.\n3. Substitute f = k + 3 to d, which gives d = k + 45.\n4. Substitute k = c + 11 to d, which gives d = c + 56.\n5. Substitute c = g + 4 to d, which gives d = g + 60.\n6. Substitute g = 13 to d, which gives d = 73.\n\nThus, the final answer is d = \\boxed{73}.",
"index": 18373,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = y + 20; t = w + 3; y = f + 5; k = c + 11; o = g + 10; v = n + 13; f = k + 3; e = o + 5; n = e + 8; g = 13; w = v + 16; d = x + 17; c = g + 4. If g = 13, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"q": "o + 4", "s": "q + 13", "r": "s + 3", "w": "r + 17", "m": "w + 12", "a": "m + 18", "u": "o + 15", "c": "u + 15", "n": "c + 13", "p": "n + 17", "x": "p + 11", "b": "x + 17", "o": 1}, "premises": {"o": 1}, "target": "a"}, "answer": {"steps": [["m", "w + 12", "w + 30"], ["w", "r + 17", "r + 47"], ["r", "s + 3", "s + 50"], ["s", "q + 13", "q + 63"], ["q", "o + 4", "o + 67"], ["o", 1, "68"]], "target_var_name": "a", "target_value": 68, "value_dict": {"o": 1}, "is_reverse": true}} | 18,374 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = s + 3; w = r + 17; s = q + 13; o = 1; p = n + 17; b = x + 17; x = p + 11; u = o + 15; m = w + 12; q = o + 4; n = c + 13; a = m + 18; c = u + 15. Given that o = 1, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = w + 12 to a, which gives a = w + 30.\n2. Substitute w = r + 17 to a, which gives a = r + 47.\n3. Substitute r = s + 3 to a, which gives a = s + 50.\n4. Substitute s = q + 13 to a, which gives a = q + 63.\n5. Substitute q = o + 4 to a, which gives a = o + 67.\n6. Substitute o = 1 to a, which gives a = 68.\n\nThus, the final answer is a = \\boxed{68}.",
"index": 18374,
"question": "Suppose a collection of variables is related by the following definitions: r = s + 3; w = r + 17; s = q + 13; o = 1; p = n + 17; b = x + 17; x = p + 11; u = o + 15; m = w + 12; q = o + 4; n = c + 13; a = m + 18; c = u + 15. Given that o = 1, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"k": "p + 2", "e": "k + 15", "a": "e + 12", "q": "a + 10", "v": "q + 1", "n": "v + 15", "o": "p + 4", "m": "o + 8", "z": "m + 20", "f": "z + 15", "h": "f + 1", "x": "h + 5", "p": 10}, "premises": {"p": 10}, "target": "n"}, "answer": {"steps": [["v", "q + 1", "q + 16"], ["q", "a + 10", "a + 26"], ["a", "e + 12", "e + 38"], ["e", "k + 15", "k + 53"], ["k", "p + 2", "p + 55"], ["p", 10, "65"]], "target_var_name": "n", "target_value": 65, "value_dict": {"p": 10}, "is_reverse": true}} | 18,375 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = f + 1; o = p + 4; n = v + 15; f = z + 15; z = m + 20; k = p + 2; x = h + 5; p = 10; a = e + 12; q = a + 10; v = q + 1; m = o + 8; e = k + 15. If p = 10, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = q + 1 to n, which gives n = q + 16.\n2. Substitute q = a + 10 to n, which gives n = a + 26.\n3. Substitute a = e + 12 to n, which gives n = e + 38.\n4. Substitute e = k + 15 to n, which gives n = k + 53.\n5. Substitute k = p + 2 to n, which gives n = p + 55.\n6. Substitute p = 10 to n, which gives n = 65.\n\nThus, the final answer is n = \\boxed{65}.",
"index": 18375,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = f + 1; o = p + 4; n = v + 15; f = z + 15; z = m + 20; k = p + 2; x = h + 5; p = 10; a = e + 12; q = a + 10; v = q + 1; m = o + 8; e = k + 15. If p = 10, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"n": "t + 13", "d": "n + 6", "x": "d + 4", "u": "x + 19", "h": "u + 6", "e": "h + 14", "g": "t + 8", "w": "g + 14", "z": "w + 8", "c": "z + 13", "o": "c + 20", "l": "o + 15", "t": 10}, "premises": {"t": 10}, "target": "e"}, "answer": {"steps": [["h", "u + 6", "u + 20"], ["u", "x + 19", "x + 39"], ["x", "d + 4", "d + 43"], ["d", "n + 6", "n + 49"], ["n", "t + 13", "t + 62"], ["t", 10, "72"]], "target_var_name": "e", "target_value": 72, "value_dict": {"t": 10}, "is_reverse": true}} | 18,376 | 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 = o + 15; c = z + 13; z = w + 8; n = t + 13; e = h + 14; h = u + 6; u = x + 19; x = d + 4; d = n + 6; t = 10; g = t + 8; o = c + 20; w = g + 14. If t = 10, 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 h = u + 6 to e, which gives e = u + 20.\n2. Substitute u = x + 19 to e, which gives e = x + 39.\n3. Substitute x = d + 4 to e, which gives e = d + 43.\n4. Substitute d = n + 6 to e, which gives e = n + 49.\n5. Substitute n = t + 13 to e, which gives e = t + 62.\n6. Substitute t = 10 to e, which gives e = 72.\n\nThus, the final answer is e = \\boxed{72}.",
"index": 18376,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = o + 15; c = z + 13; z = w + 8; n = t + 13; e = h + 14; h = u + 6; u = x + 19; x = d + 4; d = n + 6; t = 10; g = t + 8; o = c + 20; w = g + 14. If t = 10, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"e": "y + 6", "r": "e + 2", "u": "r + 11", "s": "u + 19", "v": "s + 16", "b": "v + 12", "c": "y + 8", "q": "c + 6", "t": "q + 4", "n": "t + 12", "l": "n + 1", "j": "l + 16", "y": 15}, "premises": {"y": 15}, "target": "b"}, "answer": {"steps": [["v", "s + 16", "s + 28"], ["s", "u + 19", "u + 47"], ["u", "r + 11", "r + 58"], ["r", "e + 2", "e + 60"], ["e", "y + 6", "y + 66"], ["y", 15, "81"]], "target_var_name": "b", "target_value": 81, "value_dict": {"y": 15}, "is_reverse": true}} | 18,377 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = e + 2; q = c + 6; c = y + 8; n = t + 12; e = y + 6; b = v + 12; t = q + 4; s = u + 19; v = s + 16; j = l + 16; l = n + 1; y = 15; u = r + 11. If y = 15, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = s + 16 to b, which gives b = s + 28.\n2. Substitute s = u + 19 to b, which gives b = u + 47.\n3. Substitute u = r + 11 to b, which gives b = r + 58.\n4. Substitute r = e + 2 to b, which gives b = e + 60.\n5. Substitute e = y + 6 to b, which gives b = y + 66.\n6. Substitute y = 15 to b, which gives b = 81.\n\nThus, the final answer is b = \\boxed{81}.",
"index": 18377,
"question": "Consider a system of variables where each variable is defined as follows: r = e + 2; q = c + 6; c = y + 8; n = t + 12; e = y + 6; b = v + 12; t = q + 4; s = u + 19; v = s + 16; j = l + 16; l = n + 1; y = 15; u = r + 11. If y = 15, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"h": "k + 4", "g": "h + 15", "y": "g + 12", "p": "y + 20", "m": "p + 12", "u": "m + 2", "f": "k + 2", "x": "f + 17", "c": "x + 17", "n": "c + 2", "d": "n + 12", "i": "d + 16", "k": 11}, "premises": {"k": 11}, "target": "u"}, "answer": {"steps": [["m", "p + 12", "p + 14"], ["p", "y + 20", "y + 34"], ["y", "g + 12", "g + 46"], ["g", "h + 15", "h + 61"], ["h", "k + 4", "k + 65"], ["k", 11, "76"]], "target_var_name": "u", "target_value": 76, "value_dict": {"k": 11}, "is_reverse": true}} | 18,378 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = k + 2; m = p + 12; c = x + 17; p = y + 20; d = n + 12; h = k + 4; k = 11; y = g + 12; x = f + 17; n = c + 2; g = h + 15; u = m + 2; i = d + 16. Given that k = 11, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = p + 12 to u, which gives u = p + 14.\n2. Substitute p = y + 20 to u, which gives u = y + 34.\n3. Substitute y = g + 12 to u, which gives u = g + 46.\n4. Substitute g = h + 15 to u, which gives u = h + 61.\n5. Substitute h = k + 4 to u, which gives u = k + 65.\n6. Substitute k = 11 to u, which gives u = 76.\n\nThus, the final answer is u = \\boxed{76}.",
"index": 18378,
"question": "Suppose a collection of variables is related by the following definitions: f = k + 2; m = p + 12; c = x + 17; p = y + 20; d = n + 12; h = k + 4; k = 11; y = g + 12; x = f + 17; n = c + 2; g = h + 15; u = m + 2; i = d + 16. Given that k = 11, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"j": "b + 16", "m": "j + 11", "c": "m + 11", "e": "c + 13", "a": "e + 2", "y": "a + 2", "d": "b + 5", "x": "d + 1", "z": "x + 8", "t": "z + 12", "g": "t + 4", "i": "g + 18", "b": 16}, "premises": {"b": 16}, "target": "y"}, "answer": {"steps": [["a", "e + 2", "e + 4"], ["e", "c + 13", "c + 17"], ["c", "m + 11", "m + 28"], ["m", "j + 11", "j + 39"], ["j", "b + 16", "b + 55"], ["b", 16, "71"]], "target_var_name": "y", "target_value": 71, "value_dict": {"b": 16}, "is_reverse": true}} | 18,379 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = j + 11; g = t + 4; a = e + 2; d = b + 5; c = m + 11; x = d + 1; z = x + 8; i = g + 18; t = z + 12; e = c + 13; j = b + 16; y = a + 2; b = 16. If b = 16, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = e + 2 to y, which gives y = e + 4.\n2. Substitute e = c + 13 to y, which gives y = c + 17.\n3. Substitute c = m + 11 to y, which gives y = m + 28.\n4. Substitute m = j + 11 to y, which gives y = j + 39.\n5. Substitute j = b + 16 to y, which gives y = b + 55.\n6. Substitute b = 16 to y, which gives y = 71.\n\nThus, the final answer is y = \\boxed{71}.",
"index": 18379,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = j + 11; g = t + 4; a = e + 2; d = b + 5; c = m + 11; x = d + 1; z = x + 8; i = g + 18; t = z + 12; e = c + 13; j = b + 16; y = a + 2; b = 16. If b = 16, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"k": "s + 20", "h": "k + 4", "p": "h + 9", "x": "p + 2", "j": "x + 12", "i": "j + 1", "a": "s + 9", "y": "a + 7", "e": "y + 3", "f": "e + 11", "z": "f + 12", "v": "z + 4", "s": 6}, "premises": {"s": 6}, "target": "i"}, "answer": {"steps": [["j", "x + 12", "x + 13"], ["x", "p + 2", "p + 15"], ["p", "h + 9", "h + 24"], ["h", "k + 4", "k + 28"], ["k", "s + 20", "s + 48"], ["s", 6, "54"]], "target_var_name": "i", "target_value": 54, "value_dict": {"s": 6}, "is_reverse": true}} | 18,380 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = a + 7; h = k + 4; x = p + 2; s = 6; a = s + 9; j = x + 12; z = f + 12; v = z + 4; e = y + 3; p = h + 9; i = j + 1; k = s + 20; f = e + 11. Given that s = 6, find the 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 j = x + 12 to i, which gives i = x + 13.\n2. Substitute x = p + 2 to i, which gives i = p + 15.\n3. Substitute p = h + 9 to i, which gives i = h + 24.\n4. Substitute h = k + 4 to i, which gives i = k + 28.\n5. Substitute k = s + 20 to i, which gives i = s + 48.\n6. Substitute s = 6 to i, which gives i = 54.\n\nThus, the final answer is i = \\boxed{54}.",
"index": 18380,
"question": "Suppose a collection of variables is related by the following definitions: y = a + 7; h = k + 4; x = p + 2; s = 6; a = s + 9; j = x + 12; z = f + 12; v = z + 4; e = y + 3; p = h + 9; i = j + 1; k = s + 20; f = e + 11. Given that s = 6, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"o": "s + 2", "m": "o + 5", "i": "m + 17", "q": "i + 1", "t": "q + 10", "f": "t + 6", "a": "s + 3", "e": "a + 9", "y": "e + 11", "h": "y + 13", "z": "h + 1", "j": "z + 19", "s": 6}, "premises": {"s": 6}, "target": "f"}, "answer": {"steps": [["t", "q + 10", "q + 16"], ["q", "i + 1", "i + 17"], ["i", "m + 17", "m + 34"], ["m", "o + 5", "o + 39"], ["o", "s + 2", "s + 41"], ["s", 6, "47"]], "target_var_name": "f", "target_value": 47, "value_dict": {"s": 6}, "is_reverse": true}} | 18,381 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = q + 10; j = z + 19; y = e + 11; o = s + 2; q = i + 1; e = a + 9; z = h + 1; s = 6; m = o + 5; f = t + 6; h = y + 13; i = m + 17; a = s + 3. If s = 6, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = q + 10 to f, which gives f = q + 16.\n2. Substitute q = i + 1 to f, which gives f = i + 17.\n3. Substitute i = m + 17 to f, which gives f = m + 34.\n4. Substitute m = o + 5 to f, which gives f = o + 39.\n5. Substitute o = s + 2 to f, which gives f = s + 41.\n6. Substitute s = 6 to f, which gives f = 47.\n\nThus, the final answer is f = \\boxed{47}.",
"index": 18381,
"question": "Consider a system of variables where each variable is defined as follows: t = q + 10; j = z + 19; y = e + 11; o = s + 2; q = i + 1; e = a + 9; z = h + 1; s = 6; m = o + 5; f = t + 6; h = y + 13; i = m + 17; a = s + 3. If s = 6, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"i": "t + 4", "k": "i + 10", "w": "k + 13", "a": "w + 18", "z": "a + 12", "o": "z + 8", "s": "t + 8", "e": "s + 10", "r": "e + 8", "n": "r + 14", "g": "n + 6", "v": "g + 14", "t": 6}, "premises": {"t": 6}, "target": "o"}, "answer": {"steps": [["z", "a + 12", "a + 20"], ["a", "w + 18", "w + 38"], ["w", "k + 13", "k + 51"], ["k", "i + 10", "i + 61"], ["i", "t + 4", "t + 65"], ["t", 6, "71"]], "target_var_name": "o", "target_value": 71, "value_dict": {"t": 6}, "is_reverse": true}} | 18,382 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = t + 4; o = z + 8; g = n + 6; n = r + 14; t = 6; s = t + 8; a = w + 18; k = i + 10; v = g + 14; z = a + 12; e = s + 10; w = k + 13; r = e + 8. Given that t = 6, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = a + 12 to o, which gives o = a + 20.\n2. Substitute a = w + 18 to o, which gives o = w + 38.\n3. Substitute w = k + 13 to o, which gives o = k + 51.\n4. Substitute k = i + 10 to o, which gives o = i + 61.\n5. Substitute i = t + 4 to o, which gives o = t + 65.\n6. Substitute t = 6 to o, which gives o = 71.\n\nThus, the final answer is o = \\boxed{71}.",
"index": 18382,
"question": "Suppose a collection of variables is related by the following definitions: i = t + 4; o = z + 8; g = n + 6; n = r + 14; t = 6; s = t + 8; a = w + 18; k = i + 10; v = g + 14; z = a + 12; e = s + 10; w = k + 13; r = e + 8. Given that t = 6, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"g": "k + 3", "u": "g + 20", "m": "u + 1", "x": "m + 2", "a": "x + 19", "o": "a + 17", "y": "k + 12", "e": "y + 15", "v": "e + 20", "n": "v + 16", "d": "n + 9", "q": "d + 3", "k": 11}, "premises": {"k": 11}, "target": "o"}, "answer": {"steps": [["a", "x + 19", "x + 36"], ["x", "m + 2", "m + 38"], ["m", "u + 1", "u + 39"], ["u", "g + 20", "g + 59"], ["g", "k + 3", "k + 62"], ["k", 11, "73"]], "target_var_name": "o", "target_value": 73, "value_dict": {"k": 11}, "is_reverse": true}} | 18,383 | 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 = m + 2; o = a + 17; a = x + 19; v = e + 20; y = k + 12; n = v + 16; m = u + 1; d = n + 9; q = d + 3; k = 11; u = g + 20; e = y + 15; g = k + 3. If k = 11, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = x + 19 to o, which gives o = x + 36.\n2. Substitute x = m + 2 to o, which gives o = m + 38.\n3. Substitute m = u + 1 to o, which gives o = u + 39.\n4. Substitute u = g + 20 to o, which gives o = g + 59.\n5. Substitute g = k + 3 to o, which gives o = k + 62.\n6. Substitute k = 11 to o, which gives o = 73.\n\nThus, the final answer is o = \\boxed{73}.",
"index": 18383,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = m + 2; o = a + 17; a = x + 19; v = e + 20; y = k + 12; n = v + 16; m = u + 1; d = n + 9; q = d + 3; k = 11; u = g + 20; e = y + 15; g = k + 3. If k = 11, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"d": "i + 13", "b": "d + 14", "e": "b + 7", "l": "e + 2", "s": "l + 16", "y": "s + 6", "w": "i + 15", "z": "w + 6", "c": "z + 13", "u": "c + 3", "q": "u + 4", "a": "q + 11", "i": 13}, "premises": {"i": 13}, "target": "y"}, "answer": {"steps": [["s", "l + 16", "l + 22"], ["l", "e + 2", "e + 24"], ["e", "b + 7", "b + 31"], ["b", "d + 14", "d + 45"], ["d", "i + 13", "i + 58"], ["i", 13, "71"]], "target_var_name": "y", "target_value": 71, "value_dict": {"i": 13}, "is_reverse": true}} | 18,384 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = z + 13; d = i + 13; a = q + 11; s = l + 16; z = w + 6; l = e + 2; b = d + 14; u = c + 3; e = b + 7; w = i + 15; y = s + 6; q = u + 4; i = 13. If i = 13, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = l + 16 to y, which gives y = l + 22.\n2. Substitute l = e + 2 to y, which gives y = e + 24.\n3. Substitute e = b + 7 to y, which gives y = b + 31.\n4. Substitute b = d + 14 to y, which gives y = d + 45.\n5. Substitute d = i + 13 to y, which gives y = i + 58.\n6. Substitute i = 13 to y, which gives y = 71.\n\nThus, the final answer is y = \\boxed{71}.",
"index": 18384,
"question": "Consider a system of variables where each variable is defined as follows: c = z + 13; d = i + 13; a = q + 11; s = l + 16; z = w + 6; l = e + 2; b = d + 14; u = c + 3; e = b + 7; w = i + 15; y = s + 6; q = u + 4; i = 13. If i = 13, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"r": "l + 10", "a": "r + 15", "x": "a + 6", "d": "x + 9", "g": "d + 2", "u": "g + 3", "y": "l + 11", "i": "y + 8", "m": "i + 19", "q": "m + 15", "t": "q + 8", "s": "t + 9", "l": 16}, "premises": {"l": 16}, "target": "u"}, "answer": {"steps": [["g", "d + 2", "d + 5"], ["d", "x + 9", "x + 14"], ["x", "a + 6", "a + 20"], ["a", "r + 15", "r + 35"], ["r", "l + 10", "l + 45"], ["l", 16, "61"]], "target_var_name": "u", "target_value": 61, "value_dict": {"l": 16}, "is_reverse": true}} | 18,385 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = y + 8; d = x + 9; a = r + 15; u = g + 3; g = d + 2; x = a + 6; m = i + 19; s = t + 9; t = q + 8; q = m + 15; l = 16; r = l + 10; y = l + 11. If l = 16, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = d + 2 to u, which gives u = d + 5.\n2. Substitute d = x + 9 to u, which gives u = x + 14.\n3. Substitute x = a + 6 to u, which gives u = a + 20.\n4. Substitute a = r + 15 to u, which gives u = r + 35.\n5. Substitute r = l + 10 to u, which gives u = l + 45.\n6. Substitute l = 16 to u, which gives u = 61.\n\nThus, the final answer is u = \\boxed{61}.",
"index": 18385,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = y + 8; d = x + 9; a = r + 15; u = g + 3; g = d + 2; x = a + 6; m = i + 19; s = t + 9; t = q + 8; q = m + 15; l = 16; r = l + 10; y = l + 11. If l = 16, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"t": "n + 5", "u": "t + 10", "o": "u + 5", "h": "o + 19", "g": "h + 12", "b": "g + 15", "w": "n + 15", "m": "w + 2", "y": "m + 10", "f": "y + 18", "a": "f + 15", "c": "a + 16", "n": 4}, "premises": {"n": 4}, "target": "b"}, "answer": {"steps": [["g", "h + 12", "h + 27"], ["h", "o + 19", "o + 46"], ["o", "u + 5", "u + 51"], ["u", "t + 10", "t + 61"], ["t", "n + 5", "n + 66"], ["n", 4, "70"]], "target_var_name": "b", "target_value": 70, "value_dict": {"n": 4}, "is_reverse": true}} | 18,386 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = a + 16; h = o + 19; f = y + 18; o = u + 5; w = n + 15; b = g + 15; y = m + 10; n = 4; g = h + 12; m = w + 2; t = n + 5; u = t + 10; a = f + 15. If n = 4, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = h + 12 to b, which gives b = h + 27.\n2. Substitute h = o + 19 to b, which gives b = o + 46.\n3. Substitute o = u + 5 to b, which gives b = u + 51.\n4. Substitute u = t + 10 to b, which gives b = t + 61.\n5. Substitute t = n + 5 to b, which gives b = n + 66.\n6. Substitute n = 4 to b, which gives b = 70.\n\nThus, the final answer is b = \\boxed{70}.",
"index": 18386,
"question": "Consider a system of variables where each variable is defined as follows: c = a + 16; h = o + 19; f = y + 18; o = u + 5; w = n + 15; b = g + 15; y = m + 10; n = 4; g = h + 12; m = w + 2; t = n + 5; u = t + 10; a = f + 15. If n = 4, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"m": "d + 17", "f": "m + 15", "t": "f + 20", "i": "t + 11", "a": "i + 14", "s": "a + 20", "j": "d + 18", "n": "j + 12", "b": "n + 3", "g": "b + 11", "k": "g + 10", "l": "k + 15", "d": 8}, "premises": {"d": 8}, "target": "s"}, "answer": {"steps": [["a", "i + 14", "i + 34"], ["i", "t + 11", "t + 45"], ["t", "f + 20", "f + 65"], ["f", "m + 15", "m + 80"], ["m", "d + 17", "d + 97"], ["d", 8, "105"]], "target_var_name": "s", "target_value": 105, "value_dict": {"d": 8}, "is_reverse": true}} | 18,387 | 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 = j + 12; k = g + 10; g = b + 11; s = a + 20; a = i + 14; m = d + 17; l = k + 15; i = t + 11; t = f + 20; b = n + 3; d = 8; f = m + 15; j = d + 18. If d = 8, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 105,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = i + 14 to s, which gives s = i + 34.\n2. Substitute i = t + 11 to s, which gives s = t + 45.\n3. Substitute t = f + 20 to s, which gives s = f + 65.\n4. Substitute f = m + 15 to s, which gives s = m + 80.\n5. Substitute m = d + 17 to s, which gives s = d + 97.\n6. Substitute d = 8 to s, which gives s = 105.\n\nThus, the final answer is s = \\boxed{105}.",
"index": 18387,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = j + 12; k = g + 10; g = b + 11; s = a + 20; a = i + 14; m = d + 17; l = k + 15; i = t + 11; t = f + 20; b = n + 3; d = 8; f = m + 15; j = d + 18. If d = 8, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"z": "e + 17", "o": "z + 16", "c": "o + 13", "u": "c + 11", "k": "u + 14", "v": "k + 7", "r": "e + 12", "i": "r + 4", "w": "i + 5", "y": "w + 19", "g": "y + 16", "f": "g + 13", "e": 13}, "premises": {"e": 13}, "target": "v"}, "answer": {"steps": [["k", "u + 14", "u + 21"], ["u", "c + 11", "c + 32"], ["c", "o + 13", "o + 45"], ["o", "z + 16", "z + 61"], ["z", "e + 17", "e + 78"], ["e", 13, "91"]], "target_var_name": "v", "target_value": 91, "value_dict": {"e": 13}, "is_reverse": true}} | 18,388 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = c + 11; g = y + 16; f = g + 13; e = 13; o = z + 16; z = e + 17; i = r + 4; c = o + 13; v = k + 7; k = u + 14; y = w + 19; w = i + 5; r = e + 12. Given that e = 13, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = u + 14 to v, which gives v = u + 21.\n2. Substitute u = c + 11 to v, which gives v = c + 32.\n3. Substitute c = o + 13 to v, which gives v = o + 45.\n4. Substitute o = z + 16 to v, which gives v = z + 61.\n5. Substitute z = e + 17 to v, which gives v = e + 78.\n6. Substitute e = 13 to v, which gives v = 91.\n\nThus, the final answer is v = \\boxed{91}.",
"index": 18388,
"question": "Suppose a collection of variables is related by the following definitions: u = c + 11; g = y + 16; f = g + 13; e = 13; o = z + 16; z = e + 17; i = r + 4; c = o + 13; v = k + 7; k = u + 14; y = w + 19; w = i + 5; r = e + 12. Given that e = 13, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"w": "h + 9", "v": "w + 10", "z": "v + 17", "y": "z + 19", "b": "y + 13", "p": "b + 17", "o": "h + 10", "q": "o + 13", "e": "q + 2", "j": "e + 14", "n": "j + 9", "f": "n + 17", "h": 4}, "premises": {"h": 4}, "target": "p"}, "answer": {"steps": [["b", "y + 13", "y + 30"], ["y", "z + 19", "z + 49"], ["z", "v + 17", "v + 66"], ["v", "w + 10", "w + 76"], ["w", "h + 9", "h + 85"], ["h", 4, "89"]], "target_var_name": "p", "target_value": 89, "value_dict": {"h": 4}, "is_reverse": true}} | 18,389 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = 4; f = n + 17; p = b + 17; n = j + 9; w = h + 9; o = h + 10; z = v + 17; y = z + 19; v = w + 10; j = e + 14; q = o + 13; b = y + 13; e = q + 2. If h = 4, what is the resulting 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 b = y + 13 to p, which gives p = y + 30.\n2. Substitute y = z + 19 to p, which gives p = z + 49.\n3. Substitute z = v + 17 to p, which gives p = v + 66.\n4. Substitute v = w + 10 to p, which gives p = w + 76.\n5. Substitute w = h + 9 to p, which gives p = h + 85.\n6. Substitute h = 4 to p, which gives p = 89.\n\nThus, the final answer is p = \\boxed{89}.",
"index": 18389,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = 4; f = n + 17; p = b + 17; n = j + 9; w = h + 9; o = h + 10; z = v + 17; y = z + 19; v = w + 10; j = e + 14; q = o + 13; b = y + 13; e = q + 2. If h = 4, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"t": "i + 7", "d": "t + 6", "y": "d + 15", "r": "y + 20", "s": "r + 6", "p": "s + 12", "e": "i + 17", "z": "e + 2", "c": "z + 2", "m": "c + 15", "u": "m + 7", "a": "u + 14", "i": 10}, "premises": {"i": 10}, "target": "p"}, "answer": {"steps": [["s", "r + 6", "r + 18"], ["r", "y + 20", "y + 38"], ["y", "d + 15", "d + 53"], ["d", "t + 6", "t + 59"], ["t", "i + 7", "i + 66"], ["i", 10, "76"]], "target_var_name": "p", "target_value": 76, "value_dict": {"i": 10}, "is_reverse": true}} | 18,390 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = i + 7; m = c + 15; s = r + 6; e = i + 17; z = e + 2; y = d + 15; a = u + 14; i = 10; r = y + 20; c = z + 2; u = m + 7; p = s + 12; d = t + 6. If i = 10, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = r + 6 to p, which gives p = r + 18.\n2. Substitute r = y + 20 to p, which gives p = y + 38.\n3. Substitute y = d + 15 to p, which gives p = d + 53.\n4. Substitute d = t + 6 to p, which gives p = t + 59.\n5. Substitute t = i + 7 to p, which gives p = i + 66.\n6. Substitute i = 10 to p, which gives p = 76.\n\nThus, the final answer is p = \\boxed{76}.",
"index": 18390,
"question": "Consider a system of variables where each variable is defined as follows: t = i + 7; m = c + 15; s = r + 6; e = i + 17; z = e + 2; y = d + 15; a = u + 14; i = 10; r = y + 20; c = z + 2; u = m + 7; p = s + 12; d = t + 6. If i = 10, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"h": "w + 4", "r": "h + 8", "z": "r + 17", "i": "z + 1", "m": "i + 14", "q": "m + 20", "d": "w + 1", "b": "d + 11", "f": "b + 1", "j": "f + 14", "e": "j + 13", "y": "e + 12", "w": 10}, "premises": {"w": 10}, "target": "q"}, "answer": {"steps": [["m", "i + 14", "i + 34"], ["i", "z + 1", "z + 35"], ["z", "r + 17", "r + 52"], ["r", "h + 8", "h + 60"], ["h", "w + 4", "w + 64"], ["w", 10, "74"]], "target_var_name": "q", "target_value": 74, "value_dict": {"w": 10}, "is_reverse": true}} | 18,391 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = w + 4; q = m + 20; d = w + 1; z = r + 17; j = f + 14; b = d + 11; e = j + 13; w = 10; m = i + 14; y = e + 12; f = b + 1; i = z + 1; r = h + 8. Given that w = 10, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = i + 14 to q, which gives q = i + 34.\n2. Substitute i = z + 1 to q, which gives q = z + 35.\n3. Substitute z = r + 17 to q, which gives q = r + 52.\n4. Substitute r = h + 8 to q, which gives q = h + 60.\n5. Substitute h = w + 4 to q, which gives q = w + 64.\n6. Substitute w = 10 to q, which gives q = 74.\n\nThus, the final answer is q = \\boxed{74}.",
"index": 18391,
"question": "Suppose a collection of variables is related by the following definitions: h = w + 4; q = m + 20; d = w + 1; z = r + 17; j = f + 14; b = d + 11; e = j + 13; w = 10; m = i + 14; y = e + 12; f = b + 1; i = z + 1; r = h + 8. Given that w = 10, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"h": "v + 10", "o": "h + 10", "n": "o + 19", "u": "n + 6", "a": "u + 5", "e": "a + 14", "l": "v + 20", "q": "l + 4", "g": "q + 15", "f": "g + 20", "x": "f + 8", "z": "x + 15", "v": 2}, "premises": {"v": 2}, "target": "e"}, "answer": {"steps": [["a", "u + 5", "u + 19"], ["u", "n + 6", "n + 25"], ["n", "o + 19", "o + 44"], ["o", "h + 10", "h + 54"], ["h", "v + 10", "v + 64"], ["v", 2, "66"]], "target_var_name": "e", "target_value": 66, "value_dict": {"v": 2}, "is_reverse": true}} | 18,392 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = u + 5; q = l + 4; u = n + 6; x = f + 8; f = g + 20; v = 2; e = a + 14; n = o + 19; o = h + 10; z = x + 15; g = q + 15; h = v + 10; l = v + 20. Given that v = 2, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = u + 5 to e, which gives e = u + 19.\n2. Substitute u = n + 6 to e, which gives e = n + 25.\n3. Substitute n = o + 19 to e, which gives e = o + 44.\n4. Substitute o = h + 10 to e, which gives e = h + 54.\n5. Substitute h = v + 10 to e, which gives e = v + 64.\n6. Substitute v = 2 to e, which gives e = 66.\n\nThus, the final answer is e = \\boxed{66}.",
"index": 18392,
"question": "Suppose a collection of variables is related by the following definitions: a = u + 5; q = l + 4; u = n + 6; x = f + 8; f = g + 20; v = 2; e = a + 14; n = o + 19; o = h + 10; z = x + 15; g = q + 15; h = v + 10; l = v + 20. Given that v = 2, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"v": "q + 2", "x": "v + 20", "s": "x + 13", "o": "s + 1", "k": "o + 20", "a": "k + 11", "z": "q + 20", "u": "z + 5", "n": "u + 13", "h": "n + 20", "c": "h + 11", "d": "c + 11", "q": 20}, "premises": {"q": 20}, "target": "a"}, "answer": {"steps": [["k", "o + 20", "o + 31"], ["o", "s + 1", "s + 32"], ["s", "x + 13", "x + 45"], ["x", "v + 20", "v + 65"], ["v", "q + 2", "q + 67"], ["q", 20, "87"]], "target_var_name": "a", "target_value": 87, "value_dict": {"q": 20}, "is_reverse": true}} | 18,393 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = 20; s = x + 13; x = v + 20; a = k + 11; h = n + 20; k = o + 20; d = c + 11; o = s + 1; v = q + 2; u = z + 5; n = u + 13; c = h + 11; z = q + 20. Given that q = 20, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = o + 20 to a, which gives a = o + 31.\n2. Substitute o = s + 1 to a, which gives a = s + 32.\n3. Substitute s = x + 13 to a, which gives a = x + 45.\n4. Substitute x = v + 20 to a, which gives a = v + 65.\n5. Substitute v = q + 2 to a, which gives a = q + 67.\n6. Substitute q = 20 to a, which gives a = 87.\n\nThus, the final answer is a = \\boxed{87}.",
"index": 18393,
"question": "Suppose a collection of variables is related by the following definitions: q = 20; s = x + 13; x = v + 20; a = k + 11; h = n + 20; k = o + 20; d = c + 11; o = s + 1; v = q + 2; u = z + 5; n = u + 13; c = h + 11; z = q + 20. Given that q = 20, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"q": "u + 3", "e": "q + 7", "k": "e + 17", "m": "k + 12", "y": "m + 4", "p": "y + 16", "j": "u + 18", "f": "j + 6", "a": "f + 16", "v": "a + 13", "c": "v + 15", "i": "c + 11", "u": 11}, "premises": {"u": 11}, "target": "p"}, "answer": {"steps": [["y", "m + 4", "m + 20"], ["m", "k + 12", "k + 32"], ["k", "e + 17", "e + 49"], ["e", "q + 7", "q + 56"], ["q", "u + 3", "u + 59"], ["u", 11, "70"]], "target_var_name": "p", "target_value": 70, "value_dict": {"u": 11}, "is_reverse": true}} | 18,394 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = u + 3; c = v + 15; m = k + 12; k = e + 17; u = 11; f = j + 6; i = c + 11; a = f + 16; j = u + 18; e = q + 7; y = m + 4; v = a + 13; p = y + 16. Given that u = 11, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = m + 4 to p, which gives p = m + 20.\n2. Substitute m = k + 12 to p, which gives p = k + 32.\n3. Substitute k = e + 17 to p, which gives p = e + 49.\n4. Substitute e = q + 7 to p, which gives p = q + 56.\n5. Substitute q = u + 3 to p, which gives p = u + 59.\n6. Substitute u = 11 to p, which gives p = 70.\n\nThus, the final answer is p = \\boxed{70}.",
"index": 18394,
"question": "Suppose a collection of variables is related by the following definitions: q = u + 3; c = v + 15; m = k + 12; k = e + 17; u = 11; f = j + 6; i = c + 11; a = f + 16; j = u + 18; e = q + 7; y = m + 4; v = a + 13; p = y + 16. Given that u = 11, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"y": "i + 10", "x": "y + 13", "m": "x + 11", "s": "m + 10", "t": "s + 11", "w": "t + 16", "h": "i + 12", "o": "h + 10", "r": "o + 17", "j": "r + 10", "u": "j + 20", "c": "u + 17", "i": 9}, "premises": {"i": 9}, "target": "w"}, "answer": {"steps": [["t", "s + 11", "s + 27"], ["s", "m + 10", "m + 37"], ["m", "x + 11", "x + 48"], ["x", "y + 13", "y + 61"], ["y", "i + 10", "i + 71"], ["i", 9, "80"]], "target_var_name": "w", "target_value": 80, "value_dict": {"i": 9}, "is_reverse": true}} | 18,395 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = r + 10; m = x + 11; h = i + 12; t = s + 11; i = 9; x = y + 13; r = o + 17; s = m + 10; w = t + 16; u = j + 20; c = u + 17; o = h + 10; y = i + 10. If i = 9, what is the resulting 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 t = s + 11 to w, which gives w = s + 27.\n2. Substitute s = m + 10 to w, which gives w = m + 37.\n3. Substitute m = x + 11 to w, which gives w = x + 48.\n4. Substitute x = y + 13 to w, which gives w = y + 61.\n5. Substitute y = i + 10 to w, which gives w = i + 71.\n6. Substitute i = 9 to w, which gives w = 80.\n\nThus, the final answer is w = \\boxed{80}.",
"index": 18395,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = r + 10; m = x + 11; h = i + 12; t = s + 11; i = 9; x = y + 13; r = o + 17; s = m + 10; w = t + 16; u = j + 20; c = u + 17; o = h + 10; y = i + 10. If i = 9, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"n": "v + 2", "o": "n + 14", "f": "o + 16", "x": "f + 17", "b": "x + 7", "p": "b + 20", "e": "v + 10", "z": "e + 16", "g": "z + 13", "r": "g + 3", "d": "r + 7", "w": "d + 14", "v": 19}, "premises": {"v": 19}, "target": "p"}, "answer": {"steps": [["b", "x + 7", "x + 27"], ["x", "f + 17", "f + 44"], ["f", "o + 16", "o + 60"], ["o", "n + 14", "n + 74"], ["n", "v + 2", "v + 76"], ["v", 19, "95"]], "target_var_name": "p", "target_value": 95, "value_dict": {"v": 19}, "is_reverse": true}} | 18,396 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = d + 14; f = o + 16; z = e + 16; o = n + 14; x = f + 17; g = z + 13; n = v + 2; b = x + 7; v = 19; e = v + 10; p = b + 20; r = g + 3; d = r + 7. Given that v = 19, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = x + 7 to p, which gives p = x + 27.\n2. Substitute x = f + 17 to p, which gives p = f + 44.\n3. Substitute f = o + 16 to p, which gives p = o + 60.\n4. Substitute o = n + 14 to p, which gives p = n + 74.\n5. Substitute n = v + 2 to p, which gives p = v + 76.\n6. Substitute v = 19 to p, which gives p = 95.\n\nThus, the final answer is p = \\boxed{95}.",
"index": 18396,
"question": "Suppose a collection of variables is related by the following definitions: w = d + 14; f = o + 16; z = e + 16; o = n + 14; x = f + 17; g = z + 13; n = v + 2; b = x + 7; v = 19; e = v + 10; p = b + 20; r = g + 3; d = r + 7. Given that v = 19, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"y": "j + 13", "x": "y + 10", "d": "x + 19", "l": "d + 2", "u": "l + 12", "p": "u + 5", "f": "j + 3", "h": "f + 15", "e": "h + 6", "m": "e + 15", "t": "m + 15", "s": "t + 8", "j": 3}, "premises": {"j": 3}, "target": "p"}, "answer": {"steps": [["u", "l + 12", "l + 17"], ["l", "d + 2", "d + 19"], ["d", "x + 19", "x + 38"], ["x", "y + 10", "y + 48"], ["y", "j + 13", "j + 61"], ["j", 3, "64"]], "target_var_name": "p", "target_value": 64, "value_dict": {"j": 3}, "is_reverse": true}} | 18,397 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = u + 5; y = j + 13; s = t + 8; u = l + 12; x = y + 10; l = d + 2; t = m + 15; h = f + 15; e = h + 6; j = 3; m = e + 15; d = x + 19; f = j + 3. Given that j = 3, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = l + 12 to p, which gives p = l + 17.\n2. Substitute l = d + 2 to p, which gives p = d + 19.\n3. Substitute d = x + 19 to p, which gives p = x + 38.\n4. Substitute x = y + 10 to p, which gives p = y + 48.\n5. Substitute y = j + 13 to p, which gives p = j + 61.\n6. Substitute j = 3 to p, which gives p = 64.\n\nThus, the final answer is p = \\boxed{64}.",
"index": 18397,
"question": "Suppose a collection of variables is related by the following definitions: p = u + 5; y = j + 13; s = t + 8; u = l + 12; x = y + 10; l = d + 2; t = m + 15; h = f + 15; e = h + 6; j = 3; m = e + 15; d = x + 19; f = j + 3. Given that j = 3, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"w": "s + 4", "q": "w + 12", "p": "q + 14", "b": "p + 19", "l": "b + 1", "x": "l + 10", "a": "s + 12", "z": "a + 12", "j": "z + 9", "m": "j + 9", "u": "m + 4", "e": "u + 13", "s": 3}, "premises": {"s": 3}, "target": "x"}, "answer": {"steps": [["l", "b + 1", "b + 11"], ["b", "p + 19", "p + 30"], ["p", "q + 14", "q + 44"], ["q", "w + 12", "w + 56"], ["w", "s + 4", "s + 60"], ["s", 3, "63"]], "target_var_name": "x", "target_value": 63, "value_dict": {"s": 3}, "is_reverse": true}} | 18,398 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = p + 19; q = w + 12; l = b + 1; e = u + 13; m = j + 9; x = l + 10; s = 3; w = s + 4; a = s + 12; z = a + 12; j = z + 9; p = q + 14; u = m + 4. If s = 3, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = b + 1 to x, which gives x = b + 11.\n2. Substitute b = p + 19 to x, which gives x = p + 30.\n3. Substitute p = q + 14 to x, which gives x = q + 44.\n4. Substitute q = w + 12 to x, which gives x = w + 56.\n5. Substitute w = s + 4 to x, which gives x = s + 60.\n6. Substitute s = 3 to x, which gives x = 63.\n\nThus, the final answer is x = \\boxed{63}.",
"index": 18398,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = p + 19; q = w + 12; l = b + 1; e = u + 13; m = j + 9; x = l + 10; s = 3; w = s + 4; a = s + 12; z = a + 12; j = z + 9; p = q + 14; u = m + 4. If s = 3, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"n": "q + 12", "m": "n + 12", "p": "m + 13", "t": "p + 18", "o": "t + 18", "c": "o + 17", "v": "q + 2", "r": "v + 8", "f": "r + 13", "w": "f + 4", "s": "w + 19", "d": "s + 7", "q": 20}, "premises": {"q": 20}, "target": "c"}, "answer": {"steps": [["o", "t + 18", "t + 35"], ["t", "p + 18", "p + 53"], ["p", "m + 13", "m + 66"], ["m", "n + 12", "n + 78"], ["n", "q + 12", "q + 90"], ["q", 20, "110"]], "target_var_name": "c", "target_value": 110, "value_dict": {"q": 20}, "is_reverse": true}} | 18,399 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = r + 13; n = q + 12; q = 20; c = o + 17; t = p + 18; v = q + 2; w = f + 4; p = m + 13; s = w + 19; d = s + 7; r = v + 8; o = t + 18; m = n + 12. If q = 20, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 110,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = t + 18 to c, which gives c = t + 35.\n2. Substitute t = p + 18 to c, which gives c = p + 53.\n3. Substitute p = m + 13 to c, which gives c = m + 66.\n4. Substitute m = n + 12 to c, which gives c = n + 78.\n5. Substitute n = q + 12 to c, which gives c = q + 90.\n6. Substitute q = 20 to c, which gives c = 110.\n\nThus, the final answer is c = \\boxed{110}.",
"index": 18399,
"question": "Consider a system of variables where each variable is defined as follows: f = r + 13; n = q + 12; q = 20; c = o + 17; t = p + 18; v = q + 2; w = f + 4; p = m + 13; s = w + 19; d = s + 7; r = v + 8; o = t + 18; m = n + 12. If q = 20, determine the value of c.",
"split": "train"
} |
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